Properties

Label 43.2.g.a.25.1
Level $43$
Weight $2$
Character 43.25
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 25.1
Character \(\chi\) \(=\) 43.25
Dual form 43.2.g.a.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.06783 - 0.514239i) q^{2} +(-1.90223 - 1.29692i) q^{3} +(-0.371164 - 0.465425i) q^{4} +(2.37710 - 2.20563i) q^{5} +(1.36433 + 2.36309i) q^{6} +(-1.38418 + 2.39748i) q^{7} +(0.684463 + 2.99883i) q^{8} +(0.840455 + 2.14144i) q^{9} +O(q^{10})\) \(q+(-1.06783 - 0.514239i) q^{2} +(-1.90223 - 1.29692i) q^{3} +(-0.371164 - 0.465425i) q^{4} +(2.37710 - 2.20563i) q^{5} +(1.36433 + 2.36309i) q^{6} +(-1.38418 + 2.39748i) q^{7} +(0.684463 + 2.99883i) q^{8} +(0.840455 + 2.14144i) q^{9} +(-3.67256 + 1.13283i) q^{10} +(3.47915 - 4.36271i) q^{11} +(0.102421 + 1.36671i) q^{12} +(1.57105 + 0.484606i) q^{13} +(2.71095 - 1.84829i) q^{14} +(-7.38231 + 1.11270i) q^{15} +(0.546293 - 2.39346i) q^{16} +(0.555777 + 0.515686i) q^{17} +(0.203753 - 2.71889i) q^{18} +(-0.795961 + 2.02807i) q^{19} +(-1.90885 - 0.287713i) q^{20} +(5.74237 - 2.76538i) q^{21} +(-5.95861 + 2.86951i) q^{22} +(0.00139480 + 0.000210232i) q^{23} +(2.58723 - 6.59215i) q^{24} +(0.412168 - 5.50000i) q^{25} +(-1.42841 - 1.32537i) q^{26} +(-0.358374 + 1.57014i) q^{27} +(1.62960 - 0.245623i) q^{28} +(-3.87133 + 2.63943i) q^{29} +(8.45524 + 2.60810i) q^{30} +(0.301429 + 4.02229i) q^{31} +(2.02149 - 2.53487i) q^{32} +(-12.2762 + 3.78671i) q^{33} +(-0.328289 - 0.836466i) q^{34} +(1.99760 + 8.75205i) q^{35} +(0.684734 - 1.18599i) q^{36} +(-0.999506 - 1.73120i) q^{37} +(1.89286 - 1.75632i) q^{38} +(-2.36001 - 2.95936i) q^{39} +(8.24135 + 5.61886i) q^{40} +(6.30781 + 3.03768i) q^{41} -7.55393 q^{42} +(6.54912 + 0.330261i) q^{43} -3.32185 q^{44} +(6.72108 + 3.23670i) q^{45} +(-0.00138130 - 0.000941752i) q^{46} +(-4.90255 - 6.14760i) q^{47} +(-4.14330 + 3.84442i) q^{48} +(-0.331936 - 0.574929i) q^{49} +(-3.26844 + 5.66111i) q^{50} +(-0.388413 - 1.70175i) q^{51} +(-0.357571 - 0.911075i) q^{52} +(-3.76860 + 1.16246i) q^{53} +(1.19011 - 1.49235i) q^{54} +(-1.35223 - 18.0443i) q^{55} +(-8.13705 - 2.50995i) q^{56} +(4.14434 - 2.82557i) q^{57} +(5.49121 - 0.827667i) q^{58} +(-0.811036 + 3.55338i) q^{59} +(3.25793 + 3.02291i) q^{60} +(-0.639001 + 8.52687i) q^{61} +(1.74654 - 4.45012i) q^{62} +(-6.29741 - 0.949182i) q^{63} +(-7.88592 + 3.79766i) q^{64} +(4.80342 - 2.31320i) q^{65} +(15.0562 + 2.26935i) q^{66} +(3.43004 - 8.73959i) q^{67} +(0.0337286 - 0.450076i) q^{68} +(-0.00238057 - 0.00220885i) q^{69} +(2.36756 - 10.3729i) q^{70} +(6.83052 - 1.02953i) q^{71} +(-5.84656 + 3.98612i) q^{72} +(-10.6150 - 3.27429i) q^{73} +(0.177053 + 2.36261i) q^{74} +(-7.91708 + 9.92771i) q^{75} +(1.23935 - 0.382288i) q^{76} +(5.64372 + 14.3800i) q^{77} +(0.998267 + 4.37370i) q^{78} +(-3.26980 + 5.66346i) q^{79} +(-3.98050 - 6.89443i) q^{80} +(7.77713 - 7.21613i) q^{81} +(-5.17357 - 6.48745i) q^{82} +(-4.71578 - 3.21516i) q^{83} +(-3.41843 - 1.64623i) q^{84} +2.45855 q^{85} +(-6.82350 - 3.72047i) q^{86} +10.7873 q^{87} +(15.4644 + 7.44725i) q^{88} +(-7.13427 - 4.86406i) q^{89} +(-5.51252 - 6.91248i) q^{90} +(-3.33646 + 3.09578i) q^{91} +(-0.000419851 - 0.000727204i) q^{92} +(4.64319 - 8.04224i) q^{93} +(2.07374 + 9.08566i) q^{94} +(2.58110 + 6.57654i) q^{95} +(-7.13284 + 2.20019i) q^{96} +(-11.0143 + 13.8115i) q^{97} +(0.0587992 + 0.784620i) q^{98} +(12.2666 + 3.78373i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36 q - 10 q^{2} - 16 q^{3} - 18 q^{4} - 17 q^{5} - 4 q^{6} + 6 q^{7} + 18 q^{8} - q^{9} + O(q^{10}) \) \( 36 q - 10 q^{2} - 16 q^{3} - 18 q^{4} - 17 q^{5} - 4 q^{6} + 6 q^{7} + 18 q^{8} - q^{9} - 7 q^{10} - 4 q^{11} + 2 q^{12} + 18 q^{14} - 3 q^{15} - 10 q^{16} - 10 q^{17} + 11 q^{18} + 10 q^{19} - 3 q^{20} - 21 q^{21} - 3 q^{22} + 4 q^{23} + 31 q^{24} - 2 q^{25} - 15 q^{26} - 4 q^{27} + 20 q^{28} + 9 q^{29} + 88 q^{30} + 40 q^{31} + 48 q^{32} - 11 q^{33} - 42 q^{34} + 11 q^{35} - 47 q^{36} - 19 q^{37} - 21 q^{38} - q^{39} - 97 q^{40} - 28 q^{41} + 2 q^{42} - 8 q^{43} + 14 q^{44} - 46 q^{45} - 61 q^{46} - 30 q^{47} - 97 q^{48} + 6 q^{49} - 3 q^{50} + 57 q^{51} - 8 q^{52} - 24 q^{53} + 6 q^{54} + 14 q^{55} + 39 q^{56} + 52 q^{57} + 64 q^{58} - q^{59} + 111 q^{60} - 14 q^{61} + 33 q^{62} + 47 q^{63} + 48 q^{64} + 38 q^{65} + 79 q^{66} + 66 q^{67} + 66 q^{68} - 7 q^{69} + 47 q^{70} - 33 q^{71} + 26 q^{72} + 29 q^{73} - 40 q^{74} - 55 q^{75} - 39 q^{76} - 27 q^{77} - 126 q^{78} - 17 q^{79} + 8 q^{80} + 38 q^{81} - 54 q^{82} - 23 q^{83} - 155 q^{84} - 56 q^{85} - 45 q^{86} - 86 q^{87} - 17 q^{88} - 19 q^{89} - 127 q^{90} - 13 q^{91} - 18 q^{92} - 30 q^{93} + 44 q^{94} + q^{95} - 36 q^{96} - 31 q^{97} - 5 q^{98} - 31 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.06783 0.514239i −0.755069 0.363622i 0.0164198 0.999865i \(-0.494773\pi\)
−0.771489 + 0.636243i \(0.780487\pi\)
\(3\) −1.90223 1.29692i −1.09825 0.748775i −0.128218 0.991746i \(-0.540926\pi\)
−0.970034 + 0.242970i \(0.921878\pi\)
\(4\) −0.371164 0.465425i −0.185582 0.232712i
\(5\) 2.37710 2.20563i 1.06307 0.986388i 0.0631405 0.998005i \(-0.479888\pi\)
0.999933 + 0.0116171i \(0.00369791\pi\)
\(6\) 1.36433 + 2.36309i 0.556985 + 0.964725i
\(7\) −1.38418 + 2.39748i −0.523173 + 0.906162i 0.476464 + 0.879194i \(0.341918\pi\)
−0.999636 + 0.0269675i \(0.991415\pi\)
\(8\) 0.684463 + 2.99883i 0.241994 + 1.06025i
\(9\) 0.840455 + 2.14144i 0.280152 + 0.713814i
\(10\) −3.67256 + 1.13283i −1.16137 + 0.358234i
\(11\) 3.47915 4.36271i 1.04900 1.31541i 0.101787 0.994806i \(-0.467544\pi\)
0.947215 0.320600i \(-0.103885\pi\)
\(12\) 0.102421 + 1.36671i 0.0295664 + 0.394536i
\(13\) 1.57105 + 0.484606i 0.435732 + 0.134406i 0.504858 0.863202i \(-0.331545\pi\)
−0.0691260 + 0.997608i \(0.522021\pi\)
\(14\) 2.71095 1.84829i 0.724532 0.493977i
\(15\) −7.38231 + 1.11270i −1.90610 + 0.287299i
\(16\) 0.546293 2.39346i 0.136573 0.598366i
\(17\) 0.555777 + 0.515686i 0.134796 + 0.125072i 0.744690 0.667411i \(-0.232597\pi\)
−0.609894 + 0.792483i \(0.708788\pi\)
\(18\) 0.203753 2.71889i 0.0480249 0.640848i
\(19\) −0.795961 + 2.02807i −0.182606 + 0.465272i −0.992639 0.121112i \(-0.961354\pi\)
0.810033 + 0.586384i \(0.199449\pi\)
\(20\) −1.90885 0.287713i −0.426832 0.0643345i
\(21\) 5.74237 2.76538i 1.25309 0.603455i
\(22\) −5.95861 + 2.86951i −1.27038 + 0.611782i
\(23\) 0.00139480 0.000210232i 0.000290836 4.38364e-5i 0.149188 0.988809i \(-0.452334\pi\)
−0.148897 + 0.988853i \(0.547572\pi\)
\(24\) 2.58723 6.59215i 0.528116 1.34562i
\(25\) 0.412168 5.50000i 0.0824336 1.10000i
\(26\) −1.42841 1.32537i −0.280135 0.259927i
\(27\) −0.358374 + 1.57014i −0.0689691 + 0.302174i
\(28\) 1.62960 0.245623i 0.307966 0.0464185i
\(29\) −3.87133 + 2.63943i −0.718888 + 0.490129i −0.866665 0.498891i \(-0.833741\pi\)
0.147777 + 0.989021i \(0.452788\pi\)
\(30\) 8.45524 + 2.60810i 1.54371 + 0.476171i
\(31\) 0.301429 + 4.02229i 0.0541382 + 0.722424i 0.956553 + 0.291557i \(0.0941733\pi\)
−0.902415 + 0.430867i \(0.858208\pi\)
\(32\) 2.02149 2.53487i 0.357352 0.448105i
\(33\) −12.2762 + 3.78671i −2.13701 + 0.659181i
\(34\) −0.328289 0.836466i −0.0563011 0.143453i
\(35\) 1.99760 + 8.75205i 0.337656 + 1.47937i
\(36\) 0.684734 1.18599i 0.114122 0.197666i
\(37\) −0.999506 1.73120i −0.164318 0.284607i 0.772095 0.635507i \(-0.219209\pi\)
−0.936413 + 0.350900i \(0.885876\pi\)
\(38\) 1.89286 1.75632i 0.307063 0.284913i
\(39\) −2.36001 2.95936i −0.377904 0.473877i
\(40\) 8.24135 + 5.61886i 1.30307 + 0.888419i
\(41\) 6.30781 + 3.03768i 0.985115 + 0.474406i 0.855861 0.517205i \(-0.173028\pi\)
0.129253 + 0.991612i \(0.458742\pi\)
\(42\) −7.55393 −1.16560
\(43\) 6.54912 + 0.330261i 0.998731 + 0.0503643i
\(44\) −3.32185 −0.500787
\(45\) 6.72108 + 3.23670i 1.00192 + 0.482499i
\(46\) −0.00138130 0.000941752i −0.000203661 0.000138854i
\(47\) −4.90255 6.14760i −0.715110 0.896720i 0.282940 0.959138i \(-0.408690\pi\)
−0.998050 + 0.0624180i \(0.980119\pi\)
\(48\) −4.14330 + 3.84442i −0.598034 + 0.554894i
\(49\) −0.331936 0.574929i −0.0474194 0.0821328i
\(50\) −3.26844 + 5.66111i −0.462227 + 0.800601i
\(51\) −0.388413 1.70175i −0.0543887 0.238293i
\(52\) −0.357571 0.911075i −0.0495861 0.126343i
\(53\) −3.76860 + 1.16246i −0.517657 + 0.159676i −0.542565 0.840014i \(-0.682547\pi\)
0.0249081 + 0.999690i \(0.492071\pi\)
\(54\) 1.19011 1.49235i 0.161953 0.203083i
\(55\) −1.35223 18.0443i −0.182335 2.43310i
\(56\) −8.13705 2.50995i −1.08736 0.335406i
\(57\) 4.14434 2.82557i 0.548932 0.374255i
\(58\) 5.49121 0.827667i 0.721032 0.108678i
\(59\) −0.811036 + 3.55338i −0.105588 + 0.462611i 0.894297 + 0.447473i \(0.147676\pi\)
−0.999885 + 0.0151380i \(0.995181\pi\)
\(60\) 3.25793 + 3.02291i 0.420597 + 0.390257i
\(61\) −0.639001 + 8.52687i −0.0818157 + 1.09175i 0.793618 + 0.608416i \(0.208195\pi\)
−0.875434 + 0.483338i \(0.839424\pi\)
\(62\) 1.74654 4.45012i 0.221811 0.565166i
\(63\) −6.29741 0.949182i −0.793399 0.119586i
\(64\) −7.88592 + 3.79766i −0.985740 + 0.474707i
\(65\) 4.80342 2.31320i 0.595791 0.286918i
\(66\) 15.0562 + 2.26935i 1.85328 + 0.279338i
\(67\) 3.43004 8.73959i 0.419046 1.06771i −0.553054 0.833145i \(-0.686538\pi\)
0.972100 0.234566i \(-0.0753670\pi\)
\(68\) 0.0337286 0.450076i 0.00409019 0.0545798i
\(69\) −0.00238057 0.00220885i −0.000286587 0.000265914i
\(70\) 2.36756 10.3729i 0.282977 1.23980i
\(71\) 6.83052 1.02953i 0.810633 0.122183i 0.269370 0.963037i \(-0.413184\pi\)
0.541263 + 0.840853i \(0.317946\pi\)
\(72\) −5.84656 + 3.98612i −0.689024 + 0.469769i
\(73\) −10.6150 3.27429i −1.24239 0.383226i −0.397220 0.917724i \(-0.630025\pi\)
−0.845170 + 0.534497i \(0.820501\pi\)
\(74\) 0.177053 + 2.36261i 0.0205820 + 0.274647i
\(75\) −7.91708 + 9.92771i −0.914186 + 1.14635i
\(76\) 1.23935 0.382288i 0.142163 0.0438515i
\(77\) 5.64372 + 14.3800i 0.643162 + 1.63875i
\(78\) 0.998267 + 4.37370i 0.113032 + 0.495224i
\(79\) −3.26980 + 5.66346i −0.367882 + 0.637190i −0.989234 0.146342i \(-0.953250\pi\)
0.621353 + 0.783531i \(0.286583\pi\)
\(80\) −3.98050 6.89443i −0.445034 0.770821i
\(81\) 7.77713 7.21613i 0.864126 0.801792i
\(82\) −5.17357 6.48745i −0.571325 0.716419i
\(83\) −4.71578 3.21516i −0.517624 0.352910i 0.276158 0.961112i \(-0.410939\pi\)
−0.793782 + 0.608202i \(0.791891\pi\)
\(84\) −3.41843 1.64623i −0.372982 0.179618i
\(85\) 2.45855 0.266667
\(86\) −6.82350 3.72047i −0.735797 0.401189i
\(87\) 10.7873 1.15652
\(88\) 15.4644 + 7.44725i 1.64851 + 0.793880i
\(89\) −7.13427 4.86406i −0.756231 0.515590i 0.122755 0.992437i \(-0.460827\pi\)
−0.878986 + 0.476847i \(0.841779\pi\)
\(90\) −5.51252 6.91248i −0.581071 0.728640i
\(91\) −3.33646 + 3.09578i −0.349756 + 0.324526i
\(92\) −0.000419851 0 0.000727204i −4.37725e−5 0 7.58163e-5i
\(93\) 4.64319 8.04224i 0.481476 0.833941i
\(94\) 2.07374 + 9.08566i 0.213890 + 0.937115i
\(95\) 2.58110 + 6.57654i 0.264815 + 0.674739i
\(96\) −7.13284 + 2.20019i −0.727993 + 0.224556i
\(97\) −11.0143 + 13.8115i −1.11833 + 1.40234i −0.213306 + 0.976986i \(0.568423\pi\)
−0.905026 + 0.425357i \(0.860148\pi\)
\(98\) 0.0587992 + 0.784620i 0.00593961 + 0.0792586i
\(99\) 12.2666 + 3.78373i 1.23284 + 0.380279i
\(100\) −2.71282 + 1.84957i −0.271282 + 0.184957i
\(101\) −9.98838 + 1.50551i −0.993881 + 0.149803i −0.625794 0.779988i \(-0.715225\pi\)
−0.368086 + 0.929792i \(0.619987\pi\)
\(102\) −0.460347 + 2.01691i −0.0455812 + 0.199704i
\(103\) 10.2237 + 9.48624i 1.00737 + 0.934707i 0.997869 0.0652474i \(-0.0207837\pi\)
0.00950588 + 0.999955i \(0.496974\pi\)
\(104\) −0.377922 + 5.04302i −0.0370583 + 0.494509i
\(105\) 7.55080 19.2391i 0.736883 1.87755i
\(106\) 4.62200 + 0.696655i 0.448929 + 0.0676651i
\(107\) 6.73185 3.24189i 0.650793 0.313405i −0.0792013 0.996859i \(-0.525237\pi\)
0.729994 + 0.683453i \(0.239523\pi\)
\(108\) 0.863797 0.415983i 0.0831189 0.0400280i
\(109\) 7.53258 + 1.13535i 0.721490 + 0.108747i 0.499515 0.866305i \(-0.333512\pi\)
0.221975 + 0.975052i \(0.428750\pi\)
\(110\) −7.83514 + 19.9636i −0.747051 + 1.90346i
\(111\) −0.343928 + 4.58941i −0.0326442 + 0.435607i
\(112\) 4.98211 + 4.62272i 0.470765 + 0.436806i
\(113\) 1.43538 6.28879i 0.135029 0.591600i −0.861456 0.507831i \(-0.830447\pi\)
0.996485 0.0837684i \(-0.0266956\pi\)
\(114\) −5.87846 + 0.886036i −0.550569 + 0.0829849i
\(115\) 0.00377927 0.00257667i 0.000352419 0.000240275i
\(116\) 2.66535 + 0.822152i 0.247472 + 0.0763349i
\(117\) 0.282643 + 3.77161i 0.0261304 + 0.348686i
\(118\) 2.69334 3.37734i 0.247942 0.310909i
\(119\) −2.00564 + 0.618659i −0.183857 + 0.0567124i
\(120\) −8.38973 21.3767i −0.765874 1.95142i
\(121\) −4.48106 19.6328i −0.407369 1.78480i
\(122\) 5.06719 8.77664i 0.458762 0.794599i
\(123\) −8.05927 13.9591i −0.726680 1.25865i
\(124\) 1.76019 1.63322i 0.158070 0.146668i
\(125\) −1.04209 1.30674i −0.0932077 0.116879i
\(126\) 6.23645 + 4.25194i 0.555587 + 0.378793i
\(127\) −6.89399 3.31997i −0.611743 0.294600i 0.102243 0.994759i \(-0.467398\pi\)
−0.713986 + 0.700159i \(0.753112\pi\)
\(128\) 3.88928 0.343767
\(129\) −12.0296 9.12189i −1.05915 0.803138i
\(130\) −6.31877 −0.554193
\(131\) −15.7172 7.56902i −1.37322 0.661308i −0.405678 0.914016i \(-0.632965\pi\)
−0.967543 + 0.252708i \(0.918679\pi\)
\(132\) 6.31891 + 4.30816i 0.549990 + 0.374977i
\(133\) −3.76051 4.71553i −0.326077 0.408888i
\(134\) −8.15693 + 7.56853i −0.704652 + 0.653821i
\(135\) 2.61125 + 4.52283i 0.224741 + 0.389263i
\(136\) −1.16605 + 2.01965i −0.0999876 + 0.173184i
\(137\) −0.579094 2.53718i −0.0494753 0.216766i 0.944147 0.329524i \(-0.106888\pi\)
−0.993622 + 0.112759i \(0.964031\pi\)
\(138\) 0.00140617 + 0.00358285i 0.000119701 + 0.000304993i
\(139\) 7.59006 2.34122i 0.643780 0.198580i 0.0443616 0.999016i \(-0.485875\pi\)
0.599419 + 0.800436i \(0.295398\pi\)
\(140\) 3.33199 4.17818i 0.281604 0.353120i
\(141\) 1.35284 + 18.0523i 0.113929 + 1.52028i
\(142\) −7.82325 2.41315i −0.656512 0.202507i
\(143\) 7.58012 5.16804i 0.633881 0.432173i
\(144\) 5.58460 0.841743i 0.465384 0.0701453i
\(145\) −3.38095 + 14.8129i −0.280773 + 1.23015i
\(146\) 9.65121 + 8.95502i 0.798740 + 0.741123i
\(147\) −0.114219 + 1.52414i −0.00942058 + 0.125709i
\(148\) −0.434761 + 1.10775i −0.0357371 + 0.0910566i
\(149\) 18.4553 + 2.78168i 1.51191 + 0.227884i 0.852034 0.523487i \(-0.175369\pi\)
0.659880 + 0.751371i \(0.270607\pi\)
\(150\) 13.5593 6.52982i 1.10711 0.533157i
\(151\) −8.42384 + 4.05671i −0.685522 + 0.330130i −0.744020 0.668158i \(-0.767083\pi\)
0.0584978 + 0.998288i \(0.481369\pi\)
\(152\) −6.62666 0.998808i −0.537493 0.0810140i
\(153\) −0.637207 + 1.62358i −0.0515151 + 0.131258i
\(154\) 1.36822 18.2576i 0.110254 1.47124i
\(155\) 9.58821 + 8.89656i 0.770143 + 0.714589i
\(156\) −0.501408 + 2.19681i −0.0401448 + 0.175886i
\(157\) −1.46599 + 0.220962i −0.116999 + 0.0176347i −0.207280 0.978282i \(-0.566461\pi\)
0.0902820 + 0.995916i \(0.471223\pi\)
\(158\) 6.40396 4.36615i 0.509472 0.347352i
\(159\) 8.67635 + 2.67630i 0.688080 + 0.212244i
\(160\) −0.785689 10.4843i −0.0621142 0.828856i
\(161\) −0.00243469 + 0.00305300i −0.000191880 + 0.000240610i
\(162\) −12.0155 + 3.70628i −0.944024 + 0.291193i
\(163\) 5.31184 + 13.5344i 0.416056 + 1.06009i 0.973258 + 0.229715i \(0.0737796\pi\)
−0.557202 + 0.830377i \(0.688125\pi\)
\(164\) −0.927419 4.06329i −0.0724193 0.317289i
\(165\) −20.8297 + 36.0781i −1.62159 + 2.80868i
\(166\) 3.38228 + 5.85828i 0.262516 + 0.454691i
\(167\) −5.81721 + 5.39758i −0.450149 + 0.417677i −0.872393 0.488805i \(-0.837433\pi\)
0.422244 + 0.906482i \(0.361243\pi\)
\(168\) 12.2233 + 15.3276i 0.943051 + 1.18255i
\(169\) −8.50774 5.80048i −0.654441 0.446191i
\(170\) −2.62531 1.26428i −0.201352 0.0969661i
\(171\) −5.01198 −0.383275
\(172\) −2.27708 3.17070i −0.173626 0.241764i
\(173\) −1.73137 −0.131634 −0.0658169 0.997832i \(-0.520965\pi\)
−0.0658169 + 0.997832i \(0.520965\pi\)
\(174\) −11.5190 5.54724i −0.873250 0.420535i
\(175\) 12.6156 + 8.60118i 0.953651 + 0.650188i
\(176\) −8.54136 10.7105i −0.643829 0.807336i
\(177\) 6.15122 5.70750i 0.462354 0.429002i
\(178\) 5.11688 + 8.86270i 0.383527 + 0.664288i
\(179\) 4.07203 7.05296i 0.304358 0.527163i −0.672761 0.739860i \(-0.734892\pi\)
0.977118 + 0.212698i \(0.0682249\pi\)
\(180\) −0.988180 4.32950i −0.0736546 0.322702i
\(181\) −4.70194 11.9804i −0.349493 0.890493i −0.992231 0.124407i \(-0.960297\pi\)
0.642739 0.766086i \(-0.277798\pi\)
\(182\) 5.15474 1.59003i 0.382095 0.117861i
\(183\) 12.2742 15.3913i 0.907333 1.13776i
\(184\) 0.000324238 0.00432666i 2.39032e−5 0.000318966i
\(185\) −6.19431 1.91069i −0.455414 0.140477i
\(186\) −9.09376 + 6.20002i −0.666787 + 0.454608i
\(187\) 4.18342 0.630549i 0.305922 0.0461103i
\(188\) −1.04160 + 4.56353i −0.0759662 + 0.332830i
\(189\) −3.26832 3.03256i −0.237735 0.220586i
\(190\) 0.625740 8.34992i 0.0453959 0.605767i
\(191\) −5.39153 + 13.7374i −0.390118 + 0.994003i 0.592034 + 0.805913i \(0.298325\pi\)
−0.982152 + 0.188090i \(0.939770\pi\)
\(192\) 19.9261 + 3.00337i 1.43804 + 0.216750i
\(193\) −15.7520 + 7.58576i −1.13385 + 0.546035i −0.904145 0.427225i \(-0.859491\pi\)
−0.229708 + 0.973260i \(0.573777\pi\)
\(194\) 18.8638 9.08431i 1.35434 0.652216i
\(195\) −12.1372 1.82939i −0.869165 0.131006i
\(196\) −0.144384 + 0.367884i −0.0103131 + 0.0262774i
\(197\) −0.204205 + 2.72492i −0.0145490 + 0.194143i 0.985193 + 0.171447i \(0.0548441\pi\)
−0.999742 + 0.0226962i \(0.992775\pi\)
\(198\) −11.1528 10.3483i −0.792598 0.735423i
\(199\) 0.867208 3.79949i 0.0614747 0.269338i −0.934845 0.355057i \(-0.884461\pi\)
0.996319 + 0.0857186i \(0.0273186\pi\)
\(200\) 16.7757 2.52853i 1.18622 0.178794i
\(201\) −17.8592 + 12.1762i −1.25969 + 0.858845i
\(202\) 11.4401 + 3.52879i 0.804920 + 0.248285i
\(203\) −0.969336 12.9349i −0.0680340 0.907851i
\(204\) −0.647871 + 0.812405i −0.0453601 + 0.0568797i
\(205\) 21.6943 6.69181i 1.51520 0.467376i
\(206\) −6.03900 15.3871i −0.420757 1.07207i
\(207\) 0.000722065 0.00316357i 5.01870e−5 0.000219883i
\(208\) 2.01814 3.49552i 0.139933 0.242371i
\(209\) 6.07864 + 10.5285i 0.420468 + 0.728272i
\(210\) −17.9565 + 16.6612i −1.23911 + 1.14973i
\(211\) −6.26808 7.85992i −0.431512 0.541099i 0.517772 0.855519i \(-0.326762\pi\)
−0.949284 + 0.314419i \(0.898190\pi\)
\(212\) 1.93981 + 1.32254i 0.133226 + 0.0908322i
\(213\) −14.3284 6.90020i −0.981767 0.472794i
\(214\) −8.85557 −0.605355
\(215\) 16.2964 13.6599i 1.11140 0.931595i
\(216\) −4.95388 −0.337069
\(217\) −10.0606 4.84492i −0.682957 0.328895i
\(218\) −7.45966 5.08591i −0.505232 0.344461i
\(219\) 15.9456 + 19.9952i 1.07751 + 1.35115i
\(220\) −7.89637 + 7.32676i −0.532373 + 0.493970i
\(221\) 0.623252 + 1.07950i 0.0419244 + 0.0726152i
\(222\) 2.72731 4.72384i 0.183045 0.317043i
\(223\) 3.33401 + 14.6072i 0.223262 + 0.978173i 0.955004 + 0.296592i \(0.0958501\pi\)
−0.731743 + 0.681581i \(0.761293\pi\)
\(224\) 3.27917 + 8.35520i 0.219099 + 0.558255i
\(225\) 12.1244 3.73987i 0.808290 0.249324i
\(226\) −4.76668 + 5.97723i −0.317075 + 0.397599i
\(227\) −0.663861 8.85861i −0.0440620 0.587966i −0.974916 0.222574i \(-0.928554\pi\)
0.930854 0.365392i \(-0.119065\pi\)
\(228\) −2.85332 0.880132i −0.188966 0.0582882i
\(229\) 16.7625 11.4285i 1.10770 0.755217i 0.135829 0.990732i \(-0.456630\pi\)
0.971871 + 0.235515i \(0.0756778\pi\)
\(230\) −0.00536064 0.000807986i −0.000353470 5.32770e-5i
\(231\) 7.91398 34.6734i 0.520702 2.28134i
\(232\) −10.5650 9.80287i −0.693625 0.643590i
\(233\) 0.762419 10.1738i 0.0499477 0.666506i −0.914897 0.403687i \(-0.867729\pi\)
0.964845 0.262819i \(-0.0846524\pi\)
\(234\) 1.63770 4.17278i 0.107060 0.272783i
\(235\) −25.2132 3.80028i −1.64473 0.247903i
\(236\) 1.95486 0.941410i 0.127250 0.0612806i
\(237\) 13.5650 6.53254i 0.881139 0.424334i
\(238\) 2.45982 + 0.370759i 0.159447 + 0.0240327i
\(239\) −2.91886 + 7.43713i −0.188805 + 0.481068i −0.993663 0.112400i \(-0.964146\pi\)
0.804858 + 0.593468i \(0.202241\pi\)
\(240\) −1.36968 + 18.2772i −0.0884127 + 1.17979i
\(241\) 6.16388 + 5.71925i 0.397051 + 0.368409i 0.853280 0.521453i \(-0.174610\pi\)
−0.456229 + 0.889862i \(0.650800\pi\)
\(242\) −5.31095 + 23.2688i −0.341401 + 1.49577i
\(243\) −19.3750 + 2.92031i −1.24291 + 0.187338i
\(244\) 4.20579 2.86746i 0.269248 0.183570i
\(245\) −2.05713 0.634540i −0.131425 0.0405392i
\(246\) 1.42762 + 19.0503i 0.0910218 + 1.21460i
\(247\) −2.23331 + 2.80049i −0.142102 + 0.178191i
\(248\) −11.8558 + 3.65704i −0.752847 + 0.232223i
\(249\) 4.80069 + 12.2320i 0.304231 + 0.775168i
\(250\) 0.440799 + 1.93126i 0.0278786 + 0.122144i
\(251\) 9.14704 15.8431i 0.577356 1.00001i −0.418425 0.908251i \(-0.637418\pi\)
0.995781 0.0917585i \(-0.0292488\pi\)
\(252\) 1.89560 + 3.28327i 0.119411 + 0.206827i
\(253\) 0.00576989 0.00535367i 0.000362750 0.000336583i
\(254\) 5.65434 + 7.09032i 0.354785 + 0.444886i
\(255\) −4.67673 3.18854i −0.292868 0.199674i
\(256\) 11.6187 + 5.59529i 0.726172 + 0.349706i
\(257\) 19.1765 1.19620 0.598098 0.801423i \(-0.295923\pi\)
0.598098 + 0.801423i \(0.295923\pi\)
\(258\) 8.15471 + 15.9267i 0.507690 + 0.991553i
\(259\) 5.53401 0.343866
\(260\) −2.85948 1.37705i −0.177337 0.0854011i
\(261\) −8.90586 6.07191i −0.551259 0.375842i
\(262\) 12.8910 + 16.1648i 0.796410 + 0.998666i
\(263\) 10.1950 9.45955i 0.628649 0.583301i −0.300147 0.953893i \(-0.597036\pi\)
0.928796 + 0.370592i \(0.120845\pi\)
\(264\) −19.7583 34.2224i −1.21604 2.10624i
\(265\) −6.39440 + 11.0754i −0.392805 + 0.680358i
\(266\) 1.59067 + 6.96918i 0.0975302 + 0.427308i
\(267\) 7.26272 + 18.5051i 0.444471 + 1.13249i
\(268\) −5.34073 + 1.64740i −0.326237 + 0.100631i
\(269\) −16.8908 + 21.1804i −1.02985 + 1.29139i −0.0740861 + 0.997252i \(0.523604\pi\)
−0.955763 + 0.294138i \(0.904967\pi\)
\(270\) −0.462558 6.17241i −0.0281504 0.375641i
\(271\) 19.3810 + 5.97823i 1.17731 + 0.363152i 0.820842 0.571156i \(-0.193505\pi\)
0.356467 + 0.934308i \(0.383981\pi\)
\(272\) 1.53789 1.04852i 0.0932484 0.0635757i
\(273\) 10.3617 1.56177i 0.627118 0.0945228i
\(274\) −0.686342 + 3.00706i −0.0414635 + 0.181663i
\(275\) −22.5609 20.9335i −1.36047 1.26234i
\(276\) −0.000144470 0.00192782i −8.69608e−6 0.000116041i
\(277\) 6.37801 16.2509i 0.383218 0.976423i −0.600966 0.799274i \(-0.705217\pi\)
0.984184 0.177149i \(-0.0566873\pi\)
\(278\) −9.30883 1.40308i −0.558307 0.0841512i
\(279\) −8.36017 + 4.02604i −0.500510 + 0.241033i
\(280\) −24.8786 + 11.9809i −1.48678 + 0.715997i
\(281\) −15.2324 2.29591i −0.908688 0.136963i −0.321966 0.946751i \(-0.604344\pi\)
−0.586722 + 0.809789i \(0.699582\pi\)
\(282\) 7.83862 19.9725i 0.466783 1.18934i
\(283\) −1.21194 + 16.1722i −0.0720423 + 0.961338i 0.837691 + 0.546144i \(0.183905\pi\)
−0.909733 + 0.415193i \(0.863714\pi\)
\(284\) −3.01441 2.79696i −0.178872 0.165969i
\(285\) 3.61938 15.8575i 0.214394 0.939320i
\(286\) −10.7519 + 1.62058i −0.635772 + 0.0958272i
\(287\) −16.0140 + 10.9181i −0.945274 + 0.644477i
\(288\) 7.12724 + 2.19846i 0.419977 + 0.129546i
\(289\) −1.22746 16.3793i −0.0722032 0.963485i
\(290\) 11.2277 14.0790i 0.659310 0.826749i
\(291\) 38.8640 11.9880i 2.27825 0.702747i
\(292\) 2.41596 + 6.15577i 0.141384 + 0.360239i
\(293\) 4.51144 + 19.7659i 0.263561 + 1.15474i 0.917357 + 0.398066i \(0.130318\pi\)
−0.653796 + 0.756671i \(0.726824\pi\)
\(294\) 0.905738 1.56878i 0.0528237 0.0914934i
\(295\) 5.90953 + 10.2356i 0.344066 + 0.595940i
\(296\) 4.50744 4.18229i 0.261989 0.243091i
\(297\) 5.60323 + 7.02623i 0.325132 + 0.407703i
\(298\) −18.2766 12.4608i −1.05874 0.721833i
\(299\) 0.00208942 + 0.00100621i 0.000120835 + 5.81908e-5i
\(300\) 7.55913 0.436427
\(301\) −9.85698 + 15.2442i −0.568147 + 0.878663i
\(302\) 11.0813 0.637659
\(303\) 20.9527 + 10.0903i 1.20370 + 0.579672i
\(304\) 4.41930 + 3.01303i 0.253464 + 0.172809i
\(305\) 17.2882 + 21.6787i 0.989917 + 1.24132i
\(306\) 1.51533 1.40602i 0.0866259 0.0803771i
\(307\) −4.14771 7.18404i −0.236722 0.410015i 0.723050 0.690796i \(-0.242740\pi\)
−0.959772 + 0.280781i \(0.909406\pi\)
\(308\) 4.59805 7.96405i 0.261998 0.453794i
\(309\) −7.14501 31.3043i −0.406466 1.78084i
\(310\) −5.66360 14.4306i −0.321671 0.819605i
\(311\) −28.6492 + 8.83711i −1.62455 + 0.501107i −0.967528 0.252766i \(-0.918660\pi\)
−0.657021 + 0.753872i \(0.728184\pi\)
\(312\) 7.25927 9.10284i 0.410975 0.515347i
\(313\) −0.488509 6.51870i −0.0276122 0.368459i −0.993844 0.110786i \(-0.964663\pi\)
0.966232 0.257673i \(-0.0829558\pi\)
\(314\) 1.67905 + 0.517918i 0.0947543 + 0.0292278i
\(315\) −17.0631 + 11.6334i −0.961399 + 0.655471i
\(316\) 3.84955 0.580226i 0.216554 0.0326403i
\(317\) 1.74389 7.64049i 0.0979468 0.429133i −0.902050 0.431631i \(-0.857938\pi\)
0.999997 + 0.00249843i \(0.000795277\pi\)
\(318\) −7.88860 7.31955i −0.442371 0.410460i
\(319\) −1.95386 + 26.0724i −0.109395 + 1.45978i
\(320\) −10.3694 + 26.4208i −0.579668 + 1.47697i
\(321\) −17.0100 2.56384i −0.949405 0.143100i
\(322\) 0.00416980 0.00200807i 0.000232374 0.000111905i
\(323\) −1.48823 + 0.716692i −0.0828071 + 0.0398778i
\(324\) −6.24515 0.941305i −0.346953 0.0522947i
\(325\) 3.31287 8.44106i 0.183765 0.468226i
\(326\) 1.28776 17.1839i 0.0713223 0.951729i
\(327\) −12.8562 11.9288i −0.710951 0.659666i
\(328\) −4.79203 + 20.9952i −0.264595 + 1.15927i
\(329\) 21.5248 3.24434i 1.18670 0.178866i
\(330\) 40.7954 27.8138i 2.24571 1.53110i
\(331\) −23.1834 7.15112i −1.27427 0.393061i −0.417463 0.908694i \(-0.637081\pi\)
−0.856810 + 0.515633i \(0.827557\pi\)
\(332\) 0.253910 + 3.38819i 0.0139351 + 0.185951i
\(333\) 2.86722 3.59538i 0.157123 0.197025i
\(334\) 8.98743 2.77225i 0.491770 0.151691i
\(335\) −11.1228 28.3403i −0.607701 1.54840i
\(336\) −3.48182 15.2549i −0.189949 0.832221i
\(337\) 16.5673 28.6953i 0.902476 1.56313i 0.0782058 0.996937i \(-0.475081\pi\)
0.824270 0.566197i \(-0.191586\pi\)
\(338\) 6.10197 + 10.5689i 0.331904 + 0.574874i
\(339\) −10.8865 + 10.1012i −0.591271 + 0.548619i
\(340\) −0.912525 1.14427i −0.0494886 0.0620568i
\(341\) 18.5968 + 12.6791i 1.00707 + 0.686611i
\(342\) 5.35193 + 2.57735i 0.289399 + 0.139367i
\(343\) −17.5407 −0.947111
\(344\) 3.49223 + 19.8657i 0.188289 + 1.07109i
\(345\) −0.0105308 −0.000566957
\(346\) 1.84881 + 0.890340i 0.0993926 + 0.0478650i
\(347\) −3.01977 2.05885i −0.162110 0.110525i 0.479548 0.877516i \(-0.340801\pi\)
−0.641658 + 0.766991i \(0.721753\pi\)
\(348\) −4.00384 5.02066i −0.214629 0.269136i
\(349\) 4.09206 3.79688i 0.219043 0.203242i −0.563017 0.826445i \(-0.690359\pi\)
0.782060 + 0.623203i \(0.214169\pi\)
\(350\) −9.04825 15.6720i −0.483649 0.837705i
\(351\) −1.32392 + 2.29310i −0.0706659 + 0.122397i
\(352\) −4.02583 17.6383i −0.214578 0.940126i
\(353\) −1.50000 3.82194i −0.0798369 0.203421i 0.885382 0.464864i \(-0.153897\pi\)
−0.965219 + 0.261443i \(0.915802\pi\)
\(354\) −9.50346 + 2.93143i −0.505103 + 0.155804i
\(355\) 13.9661 17.5129i 0.741242 0.929488i
\(356\) 0.384128 + 5.12583i 0.0203587 + 0.271668i
\(357\) 4.61754 + 1.42432i 0.244386 + 0.0753832i
\(358\) −7.97513 + 5.43735i −0.421499 + 0.287373i
\(359\) −2.63409 + 0.397026i −0.139022 + 0.0209542i −0.218185 0.975908i \(-0.570014\pi\)
0.0791625 + 0.996862i \(0.474775\pi\)
\(360\) −5.10598 + 22.3708i −0.269109 + 1.17904i
\(361\) 10.4485 + 9.69475i 0.549919 + 0.510250i
\(362\) −1.13990 + 15.2109i −0.0599117 + 0.799466i
\(363\) −16.9381 + 43.1576i −0.889021 + 2.26519i
\(364\) 2.67923 + 0.403829i 0.140430 + 0.0211664i
\(365\) −32.4548 + 15.6294i −1.69876 + 0.818080i
\(366\) −21.0215 + 10.1234i −1.09881 + 0.529160i
\(367\) 2.72302 + 0.410430i 0.142141 + 0.0214243i 0.219727 0.975561i \(-0.429483\pi\)
−0.0775865 + 0.996986i \(0.524721\pi\)
\(368\) 0.00126515 0.00322355i 6.59505e−5 0.000168039i
\(369\) −1.20359 + 16.0609i −0.0626566 + 0.836095i
\(370\) 5.63191 + 5.22564i 0.292789 + 0.271668i
\(371\) 2.42947 10.6442i 0.126132 0.552619i
\(372\) −5.46644 + 0.823933i −0.283422 + 0.0427189i
\(373\) 27.6542 18.8543i 1.43188 0.976241i 0.434751 0.900551i \(-0.356836\pi\)
0.997131 0.0756903i \(-0.0241160\pi\)
\(374\) −4.79143 1.47796i −0.247759 0.0764234i
\(375\) 0.287561 + 3.83724i 0.0148496 + 0.198154i
\(376\) 15.0800 18.9097i 0.777691 0.975194i
\(377\) −7.36115 + 2.27061i −0.379118 + 0.116943i
\(378\) 1.93055 + 4.91895i 0.0992966 + 0.253004i
\(379\) 3.61567 + 15.8413i 0.185725 + 0.813713i 0.978838 + 0.204638i \(0.0656018\pi\)
−0.793113 + 0.609074i \(0.791541\pi\)
\(380\) 2.10287 3.64228i 0.107875 0.186845i
\(381\) 8.80822 + 15.2563i 0.451259 + 0.781603i
\(382\) 12.8215 11.8967i 0.656007 0.608686i
\(383\) −21.5546 27.0287i −1.10139 1.38110i −0.917303 0.398191i \(-0.869638\pi\)
−0.184088 0.982910i \(-0.558933\pi\)
\(384\) −7.39830 5.04407i −0.377543 0.257404i
\(385\) 45.1326 + 21.7347i 2.30017 + 1.10770i
\(386\) 20.7213 1.05469
\(387\) 4.79700 + 14.3021i 0.243845 + 0.727018i
\(388\) 10.5163 0.533884
\(389\) −16.7611 8.07174i −0.849823 0.409253i −0.0423114 0.999104i \(-0.513472\pi\)
−0.807512 + 0.589851i \(0.799186\pi\)
\(390\) 12.0197 + 8.19492i 0.608643 + 0.414966i
\(391\) 0.000666784 0 0.000836120i 3.37207e−5 0 4.22844e-5i
\(392\) 1.49692 1.38894i 0.0756058 0.0701519i
\(393\) 20.0814 + 34.7819i 1.01297 + 1.75452i
\(394\) 1.61932 2.80474i 0.0815801 0.141301i
\(395\) 4.71885 + 20.6746i 0.237431 + 1.04025i
\(396\) −2.79186 7.11354i −0.140296 0.357469i
\(397\) 29.0394 8.95748i 1.45745 0.449563i 0.538057 0.842909i \(-0.319159\pi\)
0.919391 + 0.393346i \(0.128682\pi\)
\(398\) −2.87987 + 3.61125i −0.144355 + 0.181015i
\(399\) 1.03770 + 13.8471i 0.0519497 + 0.693221i
\(400\) −12.9389 3.99112i −0.646945 0.199556i
\(401\) −31.2339 + 21.2949i −1.55975 + 1.06342i −0.593820 + 0.804598i \(0.702381\pi\)
−0.965926 + 0.258819i \(0.916667\pi\)
\(402\) 25.3321 3.81820i 1.26345 0.190435i
\(403\) −1.47566 + 6.46531i −0.0735081 + 0.322060i
\(404\) 4.40802 + 4.09005i 0.219307 + 0.203487i
\(405\) 2.57095 34.3070i 0.127752 1.70473i
\(406\) −5.61654 + 14.3107i −0.278744 + 0.710229i
\(407\) −11.0301 1.66252i −0.546743 0.0824083i
\(408\) 4.83740 2.32957i 0.239487 0.115331i
\(409\) −3.84798 + 1.85309i −0.190271 + 0.0916294i −0.526593 0.850117i \(-0.676531\pi\)
0.336323 + 0.941747i \(0.390817\pi\)
\(410\) −26.6070 4.01036i −1.31403 0.198058i
\(411\) −2.18894 + 5.57733i −0.107972 + 0.275109i
\(412\) 0.620450 8.27933i 0.0305674 0.407893i
\(413\) −7.39653 6.86298i −0.363960 0.337705i
\(414\) 0.000855791 0.00374947i 4.20598e−5 0.000184276i
\(415\) −18.3014 + 2.75849i −0.898378 + 0.135409i
\(416\) 4.40428 3.00279i 0.215937 0.147224i
\(417\) −17.4744 5.39014i −0.855725 0.263956i
\(418\) −1.07677 14.3685i −0.0526666 0.702787i
\(419\) 7.59816 9.52780i 0.371195 0.465463i −0.560792 0.827957i \(-0.689503\pi\)
0.931986 + 0.362494i \(0.118075\pi\)
\(420\) −11.7569 + 3.62654i −0.573680 + 0.176957i
\(421\) −3.62044 9.22474i −0.176450 0.449586i 0.815099 0.579322i \(-0.196682\pi\)
−0.991549 + 0.129735i \(0.958587\pi\)
\(422\) 2.65135 + 11.6163i 0.129066 + 0.565475i
\(423\) 9.04437 15.6653i 0.439752 0.761673i
\(424\) −6.06549 10.5057i −0.294566 0.510204i
\(425\) 3.06535 2.84423i 0.148691 0.137965i
\(426\) 11.7519 + 14.7365i 0.569383 + 0.713984i
\(427\) −19.5585 13.3348i −0.946502 0.645314i
\(428\) −4.00748 1.92990i −0.193709 0.0932852i
\(429\) −21.1216 −1.01976
\(430\) −24.4262 + 6.20616i −1.17793 + 0.299288i
\(431\) −20.4652 −0.985772 −0.492886 0.870094i \(-0.664058\pi\)
−0.492886 + 0.870094i \(0.664058\pi\)
\(432\) 3.56230 + 1.71551i 0.171391 + 0.0825376i
\(433\) −1.14039 0.777507i −0.0548038 0.0373646i 0.535608 0.844467i \(-0.320082\pi\)
−0.590412 + 0.807102i \(0.701035\pi\)
\(434\) 8.25153 + 10.3471i 0.396086 + 0.496676i
\(435\) 25.6425 23.7927i 1.22946 1.14077i
\(436\) −2.26740 3.92725i −0.108589 0.188081i
\(437\) −0.00153657 + 0.00266142i −7.35042e−5 + 0.000127313i
\(438\) −6.74489 29.5513i −0.322284 1.41202i
\(439\) −3.75806 9.57538i −0.179362 0.457008i 0.812711 0.582667i \(-0.197991\pi\)
−0.992074 + 0.125659i \(0.959896\pi\)
\(440\) 53.1863 16.4058i 2.53556 0.782116i
\(441\) 0.952202 1.19402i 0.0453430 0.0568583i
\(442\) −0.110403 1.47322i −0.00525133 0.0700742i
\(443\) 5.22921 + 1.61300i 0.248447 + 0.0766358i 0.416477 0.909146i \(-0.363264\pi\)
−0.168030 + 0.985782i \(0.553741\pi\)
\(444\) 2.26368 1.54335i 0.107429 0.0732441i
\(445\) −27.6872 + 4.17318i −1.31250 + 0.197828i
\(446\) 3.95146 17.3125i 0.187107 0.819770i
\(447\) −31.4985 29.2263i −1.48983 1.38236i
\(448\) 1.81076 24.1630i 0.0855506 1.14159i
\(449\) 10.2240 26.0503i 0.482499 1.22939i −0.457805 0.889053i \(-0.651364\pi\)
0.940304 0.340335i \(-0.110541\pi\)
\(450\) −14.8699 2.24128i −0.700974 0.105655i
\(451\) 35.1983 16.9506i 1.65742 0.798173i
\(452\) −3.45972 + 1.66611i −0.162731 + 0.0783674i
\(453\) 21.2853 + 3.20824i 1.00007 + 0.150736i
\(454\) −3.84655 + 9.80086i −0.180528 + 0.459977i
\(455\) −1.10296 + 14.7180i −0.0517076 + 0.689990i
\(456\) 11.3100 + 10.4942i 0.529641 + 0.491435i
\(457\) −8.19722 + 35.9144i −0.383450 + 1.68000i 0.303131 + 0.952949i \(0.401968\pi\)
−0.686581 + 0.727054i \(0.740889\pi\)
\(458\) −23.7765 + 3.58373i −1.11100 + 0.167457i
\(459\) −1.00888 + 0.687840i −0.0470903 + 0.0321056i
\(460\) −0.00260197 0.000802602i −0.000121318 3.74215e-5i
\(461\) 0.984869 + 13.1422i 0.0458699 + 0.612092i 0.972014 + 0.234922i \(0.0754836\pi\)
−0.926144 + 0.377170i \(0.876897\pi\)
\(462\) −26.2812 + 32.9556i −1.22271 + 1.53323i
\(463\) 27.5468 8.49706i 1.28021 0.394892i 0.421253 0.906943i \(-0.361591\pi\)
0.858955 + 0.512052i \(0.171114\pi\)
\(464\) 4.20250 + 10.7078i 0.195096 + 0.497097i
\(465\) −6.70086 29.3584i −0.310745 1.36146i
\(466\) −6.04589 + 10.4718i −0.280070 + 0.485096i
\(467\) 1.62410 + 2.81302i 0.0751544 + 0.130171i 0.901153 0.433500i \(-0.142722\pi\)
−0.825999 + 0.563672i \(0.809388\pi\)
\(468\) 1.65049 1.53143i 0.0762941 0.0707906i
\(469\) 16.2052 + 20.3207i 0.748286 + 0.938321i
\(470\) 24.9691 + 17.0237i 1.15174 + 0.785243i
\(471\) 3.07521 + 1.48094i 0.141698 + 0.0682383i
\(472\) −11.2111 −0.516033
\(473\) 24.2262 27.4229i 1.11392 1.26090i
\(474\) −17.8443 −0.819617
\(475\) 10.8263 + 5.21369i 0.496747 + 0.239221i
\(476\) 1.03236 + 0.703852i 0.0473182 + 0.0322610i
\(477\) −5.65668 7.09325i −0.259002 0.324778i
\(478\) 6.94130 6.44058i 0.317488 0.294585i
\(479\) 11.1630 + 19.3348i 0.510049 + 0.883431i 0.999932 + 0.0116426i \(0.00370604\pi\)
−0.489883 + 0.871788i \(0.662961\pi\)
\(480\) −12.1027 + 20.9625i −0.552410 + 0.956802i
\(481\) −0.731330 3.20417i −0.0333458 0.146097i
\(482\) −3.64091 9.27688i −0.165839 0.422550i
\(483\) 0.00859082 0.00264992i 0.000390896 0.000120575i
\(484\) −7.47438 + 9.37258i −0.339745 + 0.426026i
\(485\) 4.28091 + 57.1247i 0.194386 + 2.59390i
\(486\) 22.1909 + 6.84499i 1.00660 + 0.310495i
\(487\) −11.1751 + 7.61906i −0.506393 + 0.345253i −0.789414 0.613861i \(-0.789616\pi\)
0.283022 + 0.959114i \(0.408663\pi\)
\(488\) −26.0080 + 3.92008i −1.17733 + 0.177454i
\(489\) 7.44860 32.6344i 0.336837 1.47578i
\(490\) 1.87035 + 1.73543i 0.0844940 + 0.0783989i
\(491\) 0.751481 10.0278i 0.0339139 0.452549i −0.954236 0.299055i \(-0.903328\pi\)
0.988150 0.153494i \(-0.0490525\pi\)
\(492\) −3.50559 + 8.93209i −0.158044 + 0.402690i
\(493\) −3.51271 0.529456i −0.158205 0.0238455i
\(494\) 3.82492 1.84198i 0.172091 0.0828747i
\(495\) 37.5044 18.0612i 1.68570 0.811789i
\(496\) 9.79187 + 1.47589i 0.439668 + 0.0662693i
\(497\) −6.98641 + 17.8011i −0.313383 + 0.798488i
\(498\) 1.16384 15.5303i 0.0521528 0.695931i
\(499\) −17.9853 16.6880i −0.805135 0.747056i 0.165862 0.986149i \(-0.446959\pi\)
−0.970997 + 0.239093i \(0.923150\pi\)
\(500\) −0.221404 + 0.970033i −0.00990147 + 0.0433812i
\(501\) 18.0659 2.72299i 0.807124 0.121654i
\(502\) −17.9146 + 12.2140i −0.799569 + 0.545137i
\(503\) −18.7167 5.77333i −0.834535 0.257420i −0.152099 0.988365i \(-0.548603\pi\)
−0.682436 + 0.730945i \(0.739079\pi\)
\(504\) −1.46391 19.5345i −0.0652078 0.870138i
\(505\) −20.4228 + 25.6094i −0.908803 + 1.13960i
\(506\) −0.00891432 + 0.00274970i −0.000396290 + 0.000122239i
\(507\) 8.66092 + 22.0677i 0.384645 + 0.980059i
\(508\) 1.01360 + 4.44089i 0.0449714 + 0.197033i
\(509\) 2.13596 3.69959i 0.0946747 0.163981i −0.814798 0.579745i \(-0.803152\pi\)
0.909473 + 0.415763i \(0.136486\pi\)
\(510\) 3.35427 + 5.80977i 0.148530 + 0.257261i
\(511\) 22.5431 20.9170i 0.997250 0.925312i
\(512\) −14.3794 18.0312i −0.635484 0.796872i
\(513\) −2.89911 1.97658i −0.127999 0.0872681i
\(514\) −20.4772 9.86130i −0.903210 0.434963i
\(515\) 45.2260 1.99290
\(516\) 0.219395 + 8.98458i 0.00965833 + 0.395524i
\(517\) −43.8769 −1.92970
\(518\) −5.90937 2.84580i −0.259643 0.125037i
\(519\) 3.29347 + 2.24545i 0.144567 + 0.0985642i
\(520\) 10.2247 + 12.8213i 0.448382 + 0.562253i
\(521\) 2.62150 2.43239i 0.114850 0.106565i −0.620658 0.784082i \(-0.713134\pi\)
0.735507 + 0.677517i \(0.236944\pi\)
\(522\) 6.38752 + 11.0635i 0.279574 + 0.484236i
\(523\) −0.344694 + 0.597027i −0.0150724 + 0.0261062i −0.873463 0.486890i \(-0.838131\pi\)
0.858391 + 0.512996i \(0.171465\pi\)
\(524\) 2.31086 + 10.1245i 0.100950 + 0.442292i
\(525\) −12.8428 32.7228i −0.560504 1.42814i
\(526\) −15.7509 + 4.85852i −0.686774 + 0.211842i
\(527\) −1.90671 + 2.39094i −0.0830576 + 0.104151i
\(528\) 2.35695 + 31.4513i 0.102573 + 1.36874i
\(529\) −21.9782 6.77937i −0.955573 0.294755i
\(530\) 12.5235 8.53840i 0.543988 0.370885i
\(531\) −8.29100 + 1.24967i −0.359799 + 0.0542310i
\(532\) −0.798959 + 3.50047i −0.0346393 + 0.151764i
\(533\) 8.43783 + 7.82916i 0.365483 + 0.339119i
\(534\) 1.76071 23.4951i 0.0761934 1.01673i
\(535\) 8.85191 22.5543i 0.382701 0.975107i
\(536\) 28.5563 + 4.30417i 1.23344 + 0.185912i
\(537\) −16.8930 + 8.13525i −0.728988 + 0.351062i
\(538\) 28.9282 13.9311i 1.24718 0.600612i
\(539\) −3.66310 0.552124i −0.157781 0.0237817i
\(540\) 1.13583 2.89405i 0.0488784 0.124540i
\(541\) −2.98772 + 39.8684i −0.128452 + 1.71408i 0.445579 + 0.895243i \(0.352998\pi\)
−0.574031 + 0.818834i \(0.694621\pi\)
\(542\) −17.6213 16.3502i −0.756899 0.702300i
\(543\) −6.59336 + 28.8874i −0.282948 + 1.23968i
\(544\) 2.43069 0.366368i 0.104215 0.0157079i
\(545\) 20.4099 13.9152i 0.874263 0.596063i
\(546\) −11.8676 3.66068i −0.507888 0.156663i
\(547\) 2.84068 + 37.9062i 0.121459 + 1.62075i 0.641853 + 0.766828i \(0.278166\pi\)
−0.520394 + 0.853926i \(0.674215\pi\)
\(548\) −0.965926 + 1.21123i −0.0412623 + 0.0517413i
\(549\) −18.7969 + 5.79806i −0.802231 + 0.247455i
\(550\) 13.3264 + 33.9551i 0.568239 + 1.44785i
\(551\) −2.27153 9.95222i −0.0967704 0.423979i
\(552\) 0.00499454 0.00865080i 0.000212582 0.000368203i
\(553\) −9.05202 15.6786i −0.384931 0.666720i
\(554\) −15.1675 + 14.0734i −0.644405 + 0.597920i
\(555\) 9.30498 + 11.6681i 0.394974 + 0.495282i
\(556\) −3.90682 2.66362i −0.165686 0.112963i
\(557\) −33.9643 16.3563i −1.43911 0.693040i −0.458445 0.888723i \(-0.651593\pi\)
−0.980667 + 0.195683i \(0.937308\pi\)
\(558\) 10.9976 0.465564
\(559\) 10.1290 + 3.69260i 0.428410 + 0.156180i
\(560\) 22.0390 0.931318
\(561\) −8.77558 4.22610i −0.370505 0.178426i
\(562\) 15.0849 + 10.2847i 0.636319 + 0.433835i
\(563\) −22.6446 28.3955i −0.954357 1.19673i −0.980391 0.197065i \(-0.936859\pi\)
0.0260336 0.999661i \(-0.491712\pi\)
\(564\) 7.89988 7.33002i 0.332645 0.308649i
\(565\) −10.4587 18.1150i −0.440001 0.762105i
\(566\) 9.61052 16.6459i 0.403960 0.699680i
\(567\) 6.53552 + 28.6340i 0.274466 + 1.20251i
\(568\) 7.76264 + 19.7789i 0.325713 + 0.829903i
\(569\) 27.5039 8.48383i 1.15302 0.355661i 0.341444 0.939902i \(-0.389084\pi\)
0.811580 + 0.584241i \(0.198608\pi\)
\(570\) −12.0195 + 15.0719i −0.503439 + 0.631293i
\(571\) −1.35501 18.0813i −0.0567052 0.756679i −0.950998 0.309197i \(-0.899940\pi\)
0.894293 0.447482i \(-0.147679\pi\)
\(572\) −5.21880 1.60979i −0.218209 0.0673085i
\(573\) 28.0722 19.1393i 1.17273 0.799556i
\(574\) 22.7147 3.42369i 0.948093 0.142902i
\(575\) 0.00173117 0.00758474i 7.21947e−5 0.000316306i
\(576\) −14.7602 13.6955i −0.615009 0.570645i
\(577\) −0.994996 + 13.2773i −0.0414222 + 0.552741i 0.937430 + 0.348173i \(0.113198\pi\)
−0.978852 + 0.204568i \(0.934421\pi\)
\(578\) −7.11214 + 18.1214i −0.295826 + 0.753752i
\(579\) 39.8020 + 5.99918i 1.65411 + 0.249318i
\(580\) 8.14918 3.92444i 0.338376 0.162953i
\(581\) 14.2358 6.85560i 0.590600 0.284418i
\(582\) −47.6648 7.18431i −1.97577 0.297799i
\(583\) −8.04004 + 20.4857i −0.332984 + 0.848430i
\(584\) 2.55347 34.0737i 0.105663 1.40998i
\(585\) 8.99065 + 8.34211i 0.371718 + 0.344904i
\(586\) 5.34696 23.4266i 0.220881 0.967742i
\(587\) 6.55180 0.987525i 0.270422 0.0407595i −0.0124315 0.999923i \(-0.503957\pi\)
0.282853 + 0.959163i \(0.408719\pi\)
\(588\) 0.751766 0.512545i 0.0310023 0.0211370i
\(589\) −8.39743 2.59026i −0.346010 0.106730i
\(590\) −1.04682 13.9688i −0.0430967 0.575085i
\(591\) 3.92244 4.91859i 0.161348 0.202324i
\(592\) −4.68958 + 1.44654i −0.192740 + 0.0594526i
\(593\) 1.57645 + 4.01673i 0.0647371 + 0.164947i 0.959582 0.281431i \(-0.0908089\pi\)
−0.894844 + 0.446378i \(0.852714\pi\)
\(594\) −2.37013 10.3842i −0.0972475 0.426069i
\(595\) −3.40309 + 5.89433i −0.139513 + 0.241644i
\(596\) −5.55526 9.62199i −0.227552 0.394132i
\(597\) −6.57725 + 6.10279i −0.269189 + 0.249771i
\(598\) −0.00171371 0.00214893i −7.00789e−5 8.78762e-5i
\(599\) 18.5509 + 12.6478i 0.757968 + 0.516774i 0.879549 0.475808i \(-0.157844\pi\)
−0.121581 + 0.992581i \(0.538797\pi\)
\(600\) −35.1905 16.9468i −1.43664 0.691852i
\(601\) 3.82446 0.156003 0.0780015 0.996953i \(-0.475146\pi\)
0.0780015 + 0.996953i \(0.475146\pi\)
\(602\) 18.3647 11.2094i 0.748491 0.456860i
\(603\) 21.5981 0.879544
\(604\) 5.01471 + 2.41496i 0.204046 + 0.0982633i
\(605\) −53.9546 36.7856i −2.19357 1.49555i
\(606\) −17.1851 21.5494i −0.698095 0.875384i
\(607\) −17.0366 + 15.8077i −0.691495 + 0.641613i −0.945512 0.325586i \(-0.894438\pi\)
0.254018 + 0.967200i \(0.418248\pi\)
\(608\) 3.53187 + 6.11738i 0.143236 + 0.248093i
\(609\) −14.9316 + 25.8622i −0.605058 + 1.04799i
\(610\) −7.31277 32.0393i −0.296085 1.29723i
\(611\) −4.72300 12.0340i −0.191072 0.486844i
\(612\) 0.992160 0.306041i 0.0401057 0.0123710i
\(613\) 2.06228 2.58602i 0.0832947 0.104448i −0.738438 0.674321i \(-0.764436\pi\)
0.821733 + 0.569873i \(0.193008\pi\)
\(614\) 0.734726 + 9.80423i 0.0296511 + 0.395667i
\(615\) −49.9463 15.4064i −2.01403 0.621245i
\(616\) −39.2602 + 26.7671i −1.58184 + 1.07848i
\(617\) 34.6142 5.21724i 1.39351 0.210038i 0.591000 0.806672i \(-0.298733\pi\)
0.802514 + 0.596633i \(0.203495\pi\)
\(618\) −8.46827 + 37.1019i −0.340644 + 1.49246i
\(619\) −13.1838 12.2328i −0.529903 0.491678i 0.369239 0.929334i \(-0.379618\pi\)
−0.899142 + 0.437656i \(0.855809\pi\)
\(620\) 0.581881 7.76467i 0.0233689 0.311837i
\(621\) −0.000829954 0.00211469i −3.33049e−5 8.48595e-5i
\(622\) 35.1368 + 5.29603i 1.40886 + 0.212351i
\(623\) 21.5366 10.3715i 0.862847 0.415525i
\(624\) −8.37237 + 4.03192i −0.335163 + 0.161406i
\(625\) 21.9097 + 3.30236i 0.876390 + 0.132094i
\(626\) −2.83053 + 7.21207i −0.113131 + 0.288252i
\(627\) 2.09165 27.9111i 0.0835324 1.11466i
\(628\) 0.646962 + 0.600293i 0.0258166 + 0.0239543i
\(629\) 0.337250 1.47759i 0.0134471 0.0589154i
\(630\) 24.2029 3.64800i 0.964266 0.145340i
\(631\) 20.8020 14.1826i 0.828114 0.564599i −0.0734225 0.997301i \(-0.523392\pi\)
0.901537 + 0.432702i \(0.142440\pi\)
\(632\) −19.2218 5.92915i −0.764603 0.235849i
\(633\) 1.72965 + 23.0805i 0.0687473 + 0.917369i
\(634\) −5.79122 + 7.26196i −0.229999 + 0.288409i
\(635\) −23.7104 + 7.31368i −0.940917 + 0.290235i
\(636\) −1.97473 5.03153i −0.0783032 0.199513i
\(637\) −0.242875 1.06410i −0.00962304 0.0421613i
\(638\) 15.4939 26.8361i 0.613408 1.06245i
\(639\) 7.94543 + 13.7619i 0.314316 + 0.544412i
\(640\) 9.24522 8.57831i 0.365449 0.339088i
\(641\) 22.6472 + 28.3987i 0.894511 + 1.12168i 0.991974 + 0.126442i \(0.0403557\pi\)
−0.0974634 + 0.995239i \(0.531073\pi\)
\(642\) 16.8453 + 11.4849i 0.664832 + 0.453275i
\(643\) −2.99826 1.44389i −0.118240 0.0569413i 0.373829 0.927498i \(-0.378045\pi\)
−0.492069 + 0.870556i \(0.663759\pi\)
\(644\) 0.00232461 9.16024e−5
\(645\) −48.7151 + 4.84914i −1.91816 + 0.190935i
\(646\) 1.95772 0.0770255
\(647\) 37.9436 + 18.2727i 1.49172 + 0.718372i 0.989251 0.146226i \(-0.0467126\pi\)
0.502464 + 0.864598i \(0.332427\pi\)
\(648\) 26.9631 + 18.3831i 1.05921 + 0.722158i
\(649\) 12.6807 + 15.9010i 0.497759 + 0.624171i
\(650\) −7.87830 + 7.31000i −0.309012 + 0.286722i
\(651\) 12.8541 + 22.2639i 0.503791 + 0.872591i
\(652\) 4.32766 7.49572i 0.169484 0.293555i
\(653\) −5.31138 23.2707i −0.207850 0.910652i −0.965994 0.258564i \(-0.916751\pi\)
0.758144 0.652088i \(-0.226107\pi\)
\(654\) 7.59397 + 19.3491i 0.296948 + 0.756610i
\(655\) −54.0559 + 16.6740i −2.11214 + 0.651509i
\(656\) 10.7165 13.4381i 0.418409 0.524668i
\(657\) −1.90971 25.4833i −0.0745048 0.994197i
\(658\) −24.6531 7.60448i −0.961079 0.296454i
\(659\) −3.95025 + 2.69323i −0.153880 + 0.104913i −0.637812 0.770192i \(-0.720160\pi\)
0.483932 + 0.875105i \(0.339208\pi\)
\(660\) 24.5229 3.69623i 0.954553 0.143876i
\(661\) 3.18440 13.9518i 0.123859 0.542662i −0.874481 0.485060i \(-0.838798\pi\)
0.998340 0.0576012i \(-0.0183452\pi\)
\(662\) 21.0785 + 19.5580i 0.819238 + 0.760142i
\(663\) 0.214460 2.86177i 0.00832893 0.111142i
\(664\) 6.41395 16.3425i 0.248910 0.634211i
\(665\) −19.3398 2.91501i −0.749966 0.113039i
\(666\) −4.91058 + 2.36481i −0.190281 + 0.0916346i
\(667\) −0.00595462 + 0.00286759i −0.000230564 + 0.000111034i
\(668\) 4.67130 + 0.704086i 0.180738 + 0.0272419i
\(669\) 12.6023 32.1102i 0.487234 1.24145i
\(670\) −2.69650 + 35.9824i −0.104175 + 1.39012i
\(671\) 34.9771 + 32.4540i 1.35028 + 1.25287i
\(672\) 4.59826 20.1463i 0.177382 0.777161i
\(673\) −22.9150 + 3.45387i −0.883307 + 0.133137i −0.575003 0.818151i \(-0.694999\pi\)
−0.308303 + 0.951288i \(0.599761\pi\)
\(674\) −32.4472 + 22.1222i −1.24982 + 0.852114i
\(675\) 8.48806 + 2.61822i 0.326706 + 0.100775i
\(676\) 0.458079 + 6.11264i 0.0176184 + 0.235101i
\(677\) 8.82015 11.0601i 0.338986 0.425075i −0.582895 0.812547i \(-0.698080\pi\)
0.921881 + 0.387472i \(0.126652\pi\)
\(678\) 16.8193 5.18806i 0.645940 0.199246i
\(679\) −17.8669 45.5241i −0.685669 1.74706i
\(680\) 1.68279 + 7.37278i 0.0645320 + 0.282733i
\(681\) −10.2261 + 17.7121i −0.391864 + 0.678728i
\(682\) −13.3381 23.1023i −0.510743 0.884632i
\(683\) −34.9013 + 32.3837i −1.33546 + 1.23913i −0.387060 + 0.922054i \(0.626509\pi\)
−0.948401 + 0.317073i \(0.897300\pi\)
\(684\) 1.86026 + 2.33270i 0.0711290 + 0.0891929i
\(685\) −6.97264 4.75386i −0.266411 0.181636i
\(686\) 18.7305 + 9.02014i 0.715134 + 0.344390i
\(687\) −46.7080 −1.78202
\(688\) 4.36820 15.4947i 0.166536 0.590728i
\(689\) −6.48401 −0.247021
\(690\) 0.0112450 + 0.00541533i 0.000428092 + 0.000206158i
\(691\) 34.1689 + 23.2959i 1.29985 + 0.886220i 0.997749 0.0670578i \(-0.0213612\pi\)
0.302096 + 0.953277i \(0.402314\pi\)
\(692\) 0.642623 + 0.805824i 0.0244289 + 0.0306328i
\(693\) −26.0506 + 24.1714i −0.989581 + 0.918197i
\(694\) 2.16586 + 3.75138i 0.0822149 + 0.142400i
\(695\) 12.8785 22.3062i 0.488509 0.846122i
\(696\) 7.38349 + 32.3492i 0.279871 + 1.22619i
\(697\) 1.93925 + 4.94112i 0.0734543 + 0.187158i
\(698\) −6.32213 + 1.95012i −0.239296 + 0.0738131i
\(699\) −14.6448 + 18.3640i −0.553919 + 0.694592i
\(700\) −0.679258 9.06407i −0.0256735 0.342590i
\(701\) 45.7066 + 14.0986i 1.72632 + 0.532498i 0.989618 0.143725i \(-0.0459079\pi\)
0.736698 + 0.676222i \(0.236384\pi\)
\(702\) 2.59293 1.76783i 0.0978638 0.0667224i
\(703\) 4.30656 0.649110i 0.162425 0.0244816i
\(704\) −10.8682 + 47.6166i −0.409610 + 1.79462i
\(705\) 43.0326 + 39.9284i 1.62070 + 1.50379i
\(706\) −0.363647 + 4.85253i −0.0136860 + 0.182627i
\(707\) 10.2163 26.0308i 0.384225 0.978990i
\(708\) −4.93952 0.744513i −0.185638 0.0279805i
\(709\) −26.2688 + 12.6504i −0.986547 + 0.475096i −0.856352 0.516392i \(-0.827275\pi\)
−0.130195 + 0.991488i \(0.541560\pi\)
\(710\) −23.9192 + 11.5189i −0.897671 + 0.432296i
\(711\) −14.8761 2.24221i −0.557898 0.0840896i
\(712\) 9.70335 24.7237i 0.363648 0.926561i
\(713\) −0.000425181 0.00567365i −1.59232e−5 0.000212480i
\(714\) −4.19830 3.89545i −0.157117 0.145784i
\(715\) 6.61995 29.0039i 0.247572 1.08468i
\(716\) −4.79401 + 0.722580i −0.179160 + 0.0270041i
\(717\) 15.1977 10.3616i 0.567567 0.386961i
\(718\) 3.01693 + 0.930599i 0.112591 + 0.0347296i
\(719\) 0.145367 + 1.93979i 0.00542127 + 0.0723418i 0.999258 0.0385100i \(-0.0122612\pi\)
−0.993837 + 0.110852i \(0.964642\pi\)
\(720\) 11.4186 14.3185i 0.425546 0.533618i
\(721\) −36.8946 + 11.3805i −1.37403 + 0.423831i
\(722\) −6.17174 15.7253i −0.229688 0.585236i
\(723\) −4.30772 18.8734i −0.160206 0.701908i
\(724\) −3.83076 + 6.63507i −0.142369 + 0.246591i
\(725\) 12.9212 + 22.3802i 0.479882 + 0.831180i
\(726\) 40.2803 37.3747i 1.49494 1.38710i
\(727\) 5.86302 + 7.35200i 0.217447 + 0.272670i 0.878576 0.477602i \(-0.158494\pi\)
−0.661129 + 0.750272i \(0.729922\pi\)
\(728\) −11.5674 7.88653i −0.428717 0.292294i
\(729\) 11.9673 + 5.76313i 0.443232 + 0.213449i
\(730\) 42.6934 1.58015
\(731\) 3.46954 + 3.56084i 0.128326 + 0.131702i
\(732\) −11.7192 −0.433155
\(733\) 11.3172 + 5.45007i 0.418010 + 0.201303i 0.631053 0.775740i \(-0.282623\pi\)
−0.213043 + 0.977043i \(0.568337\pi\)
\(734\) −2.69666 1.83855i −0.0995356 0.0678622i
\(735\) 3.09018 + 3.87496i 0.113983 + 0.142930i
\(736\) 0.00335248 0.00311065i 0.000123574 0.000114660i
\(737\) −26.1947 45.3706i −0.964895 1.67125i
\(738\) 9.54435 16.5313i 0.351332 0.608526i
\(739\) −9.29738 40.7345i −0.342010 1.49844i −0.794825 0.606838i \(-0.792437\pi\)
0.452815 0.891604i \(-0.350420\pi\)
\(740\) 1.40982 + 3.59216i 0.0518260 + 0.132050i
\(741\) 7.88027 2.43074i 0.289489 0.0892955i
\(742\) −8.06792 + 10.1169i −0.296183 + 0.371401i
\(743\) 0.118093 + 1.57585i 0.00433243 + 0.0578122i 0.998951 0.0457926i \(-0.0145813\pi\)
−0.994619 + 0.103605i \(0.966962\pi\)
\(744\) 27.2954 + 8.41952i 1.00070 + 0.308674i
\(745\) 50.0054 34.0931i 1.83206 1.24908i
\(746\) −39.2256 + 5.91231i −1.43615 + 0.216465i
\(747\) 2.92169 12.8008i 0.106899 0.468356i
\(748\) −1.84621 1.71303i −0.0675040 0.0626345i
\(749\) −1.54577 + 20.6269i −0.0564812 + 0.753689i
\(750\) 1.66619 4.24539i 0.0608407 0.155020i
\(751\) −6.12248 0.922815i −0.223412 0.0336740i 0.0363820 0.999338i \(-0.488417\pi\)
−0.259794 + 0.965664i \(0.583655\pi\)
\(752\) −17.3923 + 8.37568i −0.634231 + 0.305430i
\(753\) −37.9470 + 18.2743i −1.38286 + 0.665953i
\(754\) 9.02808 + 1.36076i 0.328783 + 0.0495561i
\(755\) −11.0767 + 28.2231i −0.403124 + 1.02714i
\(756\) −0.198345 + 2.64673i −0.00721375 + 0.0962607i
\(757\) 4.19269 + 3.89025i 0.152386 + 0.141394i 0.752682 0.658385i \(-0.228760\pi\)
−0.600296 + 0.799778i \(0.704950\pi\)
\(758\) 4.28529 18.7751i 0.155649 0.681942i
\(759\) −0.0179189 + 0.00270084i −0.000650415 + 9.80343e-5i
\(760\) −17.9553 + 12.2417i −0.651305 + 0.444052i
\(761\) 16.3236 + 5.03516i 0.591729 + 0.182524i 0.576136 0.817354i \(-0.304560\pi\)
0.0155937 + 0.999878i \(0.495036\pi\)
\(762\) −1.56029 20.8206i −0.0565234 0.754252i
\(763\) −13.1485 + 16.4877i −0.476006 + 0.596893i
\(764\) 8.39487 2.58947i 0.303716 0.0936838i
\(765\) 2.06630 + 5.26485i 0.0747073 + 0.190351i
\(766\) 9.11747 + 39.9462i 0.329427 + 1.44332i
\(767\) −2.99617 + 5.18952i −0.108185 + 0.187383i
\(768\) −14.8449 25.7121i −0.535668 0.927805i
\(769\) 1.75024 1.62399i 0.0631153 0.0585624i −0.647985 0.761653i \(-0.724388\pi\)
0.711100 + 0.703091i \(0.248197\pi\)
\(770\) −37.0170 46.4179i −1.33400 1.67279i
\(771\) −36.4780 24.8703i −1.31372 0.895682i