Properties

Label 637.2.bl.a.235.9
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.9
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.a.534.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.14314 - 0.172300i) q^{2} +(1.61990 - 1.10443i) q^{3} +(-0.634071 - 0.195585i) q^{4} +(0.136884 + 1.82659i) q^{5} +(-2.04206 + 0.983405i) q^{6} +(-1.31108 - 2.29806i) q^{7} +(2.77426 + 1.33601i) q^{8} +(0.308291 - 0.785514i) q^{9} +O(q^{10})\) \(q+(-1.14314 - 0.172300i) q^{2} +(1.61990 - 1.10443i) q^{3} +(-0.634071 - 0.195585i) q^{4} +(0.136884 + 1.82659i) q^{5} +(-2.04206 + 0.983405i) q^{6} +(-1.31108 - 2.29806i) q^{7} +(2.77426 + 1.33601i) q^{8} +(0.308291 - 0.785514i) q^{9} +(0.158245 - 2.11163i) q^{10} +(1.56251 + 3.98121i) q^{11} +(-1.24314 + 0.383459i) q^{12} +(-0.623490 + 0.781831i) q^{13} +(1.10278 + 2.85290i) q^{14} +(2.23908 + 2.80772i) q^{15} +(-1.84466 - 1.25767i) q^{16} +(5.56863 + 5.16694i) q^{17} +(-0.487763 + 0.844831i) q^{18} +(-2.12170 - 3.67489i) q^{19} +(0.270460 - 1.18496i) q^{20} +(-4.66186 - 2.27464i) q^{21} +(-1.10020 - 4.82029i) q^{22} +(6.53253 - 6.06130i) q^{23} +(5.96956 - 0.899766i) q^{24} +(1.62644 - 0.245147i) q^{25} +(0.847444 - 0.786313i) q^{26} +(0.940662 + 4.12131i) q^{27} +(0.381850 + 1.71356i) q^{28} +(-1.32015 + 5.78396i) q^{29} +(-2.07581 - 3.59541i) q^{30} +(-0.638205 + 1.10540i) q^{31} +(-2.62242 - 2.43325i) q^{32} +(6.92808 + 4.72348i) q^{33} +(-5.47545 - 6.86599i) q^{34} +(4.01816 - 2.70937i) q^{35} +(-0.349113 + 0.437774i) q^{36} +(1.83197 - 0.565089i) q^{37} +(1.79221 + 4.56647i) q^{38} +(-0.146514 + 1.95509i) q^{39} +(-2.06060 + 5.25033i) q^{40} +(-0.00976311 - 0.00470167i) q^{41} +(4.93723 + 3.40346i) q^{42} +(7.66443 - 3.69099i) q^{43} +(-0.212077 - 2.82997i) q^{44} +(1.47702 + 0.455599i) q^{45} +(-8.51194 + 5.80334i) q^{46} +(-2.99702 - 0.451729i) q^{47} -4.37717 q^{48} +(-3.56215 + 6.02587i) q^{49} -1.90149 q^{50} +(14.7272 + 2.21976i) q^{51} +(0.548251 - 0.373791i) q^{52} +(-1.96219 - 0.605257i) q^{53} +(-0.365203 - 4.87330i) q^{54} +(-7.05817 + 3.39904i) q^{55} +(-0.567031 - 8.12703i) q^{56} +(-7.49560 - 3.60969i) q^{57} +(2.50569 - 6.38439i) q^{58} +(0.564081 - 7.52714i) q^{59} +(-0.870590 - 2.21823i) q^{60} +(7.53001 - 2.32270i) q^{61} +(0.920018 - 1.15367i) q^{62} +(-2.20935 + 0.321397i) q^{63} +(5.36254 + 6.72441i) q^{64} +(-1.51344 - 1.03184i) q^{65} +(-7.10588 - 6.59330i) q^{66} +(-5.07276 + 8.78627i) q^{67} +(-2.52033 - 4.36535i) q^{68} +(3.88777 - 17.0334i) q^{69} +(-5.06013 + 2.40486i) q^{70} +(-0.556031 - 2.43613i) q^{71} +(1.90474 - 1.76734i) q^{72} +(8.96678 - 1.35152i) q^{73} +(-2.19156 + 0.330324i) q^{74} +(2.36393 - 2.19341i) q^{75} +(0.626554 + 2.74511i) q^{76} +(7.10048 - 8.81041i) q^{77} +(0.504348 - 2.20969i) q^{78} +(-2.73663 - 4.73998i) q^{79} +(2.04474 - 3.54160i) q^{80} +(7.93123 + 7.35910i) q^{81} +(0.0103505 + 0.00705683i) q^{82} +(8.68971 + 10.8966i) q^{83} +(2.51107 + 2.35407i) q^{84} +(-8.67564 + 10.8789i) q^{85} +(-9.39745 + 2.89873i) q^{86} +(4.24946 + 10.8275i) q^{87} +(-0.984140 + 13.1324i) q^{88} +(-2.71299 + 6.91260i) q^{89} +(-1.60993 - 0.775302i) q^{90} +(2.61414 + 0.407775i) q^{91} +(-5.32759 + 2.56563i) q^{92} +(0.187012 + 2.49550i) q^{93} +(3.34818 + 1.03278i) q^{94} +(6.42211 - 4.37852i) q^{95} +(-6.93541 - 1.04534i) q^{96} -5.12462 q^{97} +(5.11029 - 6.27463i) q^{98} +3.60900 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} + O(q^{10}) \) \( 324q - 3q^{2} + 25q^{4} + q^{5} - 24q^{6} - 21q^{7} + 24q^{8} + 11q^{9} - 5q^{10} - 18q^{11} - 40q^{12} + 54q^{13} - 15q^{14} + 6q^{15} + 29q^{16} - 6q^{17} + 49q^{18} - 24q^{19} + 11q^{20} - 6q^{22} - 42q^{23} + 20q^{24} + 14q^{25} + 3q^{26} - 33q^{27} + 7q^{28} - 22q^{29} + 57q^{30} - 31q^{31} - 139q^{32} + 6q^{33} + 50q^{34} + 42q^{35} - 78q^{36} - 4q^{37} - 90q^{38} + 40q^{40} + 8q^{41} + 20q^{42} + 34q^{43} - 256q^{44} + 19q^{45} + 85q^{46} + 34q^{47} - 10q^{48} + 51q^{49} - 54q^{50} + 74q^{51} - 25q^{52} + 10q^{53} + 111q^{54} - 10q^{55} - 196q^{56} - 5q^{57} - 21q^{58} + 65q^{59} + 87q^{60} + 3q^{61} - 54q^{62} - 35q^{63} - 28q^{64} - q^{65} - 110q^{66} + 135q^{67} - 158q^{68} + 42q^{69} + 44q^{70} + 9q^{71} - 133q^{72} + 31q^{73} - 97q^{74} - 315q^{75} - 177q^{76} + 6q^{77} - 25q^{78} + 43q^{79} - 20q^{80} - 259q^{81} + 96q^{82} + 59q^{83} + 285q^{84} + 6q^{85} + 95q^{86} - 206q^{87} + 228q^{88} + 43q^{89} - 61q^{90} - 7q^{91} + 53q^{92} - 10q^{93} - 36q^{94} - 17q^{95} + 277q^{96} + 66q^{97} + 260q^{98} - 206q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.14314 0.172300i −0.808320 0.121835i −0.268135 0.963381i \(-0.586407\pi\)
−0.540184 + 0.841547i \(0.681646\pi\)
\(3\) 1.61990 1.10443i 0.935250 0.637643i 0.00320905 0.999995i \(-0.498979\pi\)
0.932041 + 0.362352i \(0.118026\pi\)
\(4\) −0.634071 0.195585i −0.317035 0.0977925i
\(5\) 0.136884 + 1.82659i 0.0612165 + 0.816878i 0.940330 + 0.340265i \(0.110517\pi\)
−0.879113 + 0.476613i \(0.841864\pi\)
\(6\) −2.04206 + 0.983405i −0.833668 + 0.401474i
\(7\) −1.31108 2.29806i −0.495541 0.868585i
\(8\) 2.77426 + 1.33601i 0.980849 + 0.472352i
\(9\) 0.308291 0.785514i 0.102764 0.261838i
\(10\) 0.158245 2.11163i 0.0500415 0.667757i
\(11\) 1.56251 + 3.98121i 0.471114 + 1.20038i 0.947103 + 0.320928i \(0.103995\pi\)
−0.475989 + 0.879451i \(0.657910\pi\)
\(12\) −1.24314 + 0.383459i −0.358864 + 0.110695i
\(13\) −0.623490 + 0.781831i −0.172925 + 0.216841i
\(14\) 1.10278 + 2.85290i 0.294732 + 0.762468i
\(15\) 2.23908 + 2.80772i 0.578129 + 0.724951i
\(16\) −1.84466 1.25767i −0.461165 0.314417i
\(17\) 5.56863 + 5.16694i 1.35059 + 1.25317i 0.939925 + 0.341380i \(0.110894\pi\)
0.410667 + 0.911786i \(0.365296\pi\)
\(18\) −0.487763 + 0.844831i −0.114967 + 0.199129i
\(19\) −2.12170 3.67489i −0.486751 0.843078i 0.513133 0.858309i \(-0.328485\pi\)
−0.999884 + 0.0152315i \(0.995151\pi\)
\(20\) 0.270460 1.18496i 0.0604767 0.264966i
\(21\) −4.66186 2.27464i −1.01730 0.496366i
\(22\) −1.10020 4.82029i −0.234563 1.02769i
\(23\) 6.53253 6.06130i 1.36213 1.26387i 0.429480 0.903076i \(-0.358697\pi\)
0.932646 0.360792i \(-0.117494\pi\)
\(24\) 5.96956 0.899766i 1.21853 0.183664i
\(25\) 1.62644 0.245147i 0.325289 0.0490294i
\(26\) 0.847444 0.786313i 0.166197 0.154209i
\(27\) 0.940662 + 4.12131i 0.181031 + 0.793147i
\(28\) 0.381850 + 1.71356i 0.0721629 + 0.323832i
\(29\) −1.32015 + 5.78396i −0.245146 + 1.07405i 0.691114 + 0.722746i \(0.257120\pi\)
−0.936260 + 0.351308i \(0.885737\pi\)
\(30\) −2.07581 3.59541i −0.378989 0.656429i
\(31\) −0.638205 + 1.10540i −0.114625 + 0.198536i −0.917630 0.397436i \(-0.869900\pi\)
0.803005 + 0.595973i \(0.203233\pi\)
\(32\) −2.62242 2.43325i −0.463582 0.430141i
\(33\) 6.92808 + 4.72348i 1.20602 + 0.822253i
\(34\) −5.47545 6.86599i −0.939031 1.17751i
\(35\) 4.01816 2.70937i 0.679192 0.457968i
\(36\) −0.349113 + 0.437774i −0.0581855 + 0.0729624i
\(37\) 1.83197 0.565089i 0.301174 0.0929000i −0.140485 0.990083i \(-0.544866\pi\)
0.441659 + 0.897183i \(0.354390\pi\)
\(38\) 1.79221 + 4.56647i 0.290735 + 0.740780i
\(39\) −0.146514 + 1.95509i −0.0234610 + 0.313065i
\(40\) −2.06060 + 5.25033i −0.325810 + 0.830149i
\(41\) −0.00976311 0.00470167i −0.00152474 0.000734277i 0.433121 0.901336i \(-0.357412\pi\)
−0.434646 + 0.900601i \(0.643126\pi\)
\(42\) 4.93723 + 3.40346i 0.761830 + 0.525165i
\(43\) 7.66443 3.69099i 1.16881 0.562871i 0.254182 0.967157i \(-0.418194\pi\)
0.914633 + 0.404285i \(0.132480\pi\)
\(44\) −0.212077 2.82997i −0.0319718 0.426634i
\(45\) 1.47702 + 0.455599i 0.220180 + 0.0679167i
\(46\) −8.51194 + 5.80334i −1.25502 + 0.855656i
\(47\) −2.99702 0.451729i −0.437161 0.0658914i −0.0732251 0.997315i \(-0.523329\pi\)
−0.363936 + 0.931424i \(0.618567\pi\)
\(48\) −4.37717 −0.631791
\(49\) −3.56215 + 6.02587i −0.508879 + 0.860838i
\(50\) −1.90149 −0.268911
\(51\) 14.7272 + 2.21976i 2.06221 + 0.310829i
\(52\) 0.548251 0.373791i 0.0760288 0.0518355i
\(53\) −1.96219 0.605257i −0.269528 0.0831384i 0.157045 0.987591i \(-0.449803\pi\)
−0.426573 + 0.904453i \(0.640279\pi\)
\(54\) −0.365203 4.87330i −0.0496979 0.663172i
\(55\) −7.05817 + 3.39904i −0.951724 + 0.458326i
\(56\) −0.567031 8.12703i −0.0757727 1.08602i
\(57\) −7.49560 3.60969i −0.992817 0.478115i
\(58\) 2.50569 6.38439i 0.329013 0.838312i
\(59\) 0.564081 7.52714i 0.0734371 0.979950i −0.831809 0.555062i \(-0.812694\pi\)
0.905246 0.424888i \(-0.139686\pi\)
\(60\) −0.870590 2.21823i −0.112393 0.286372i
\(61\) 7.53001 2.32270i 0.964120 0.297392i 0.227560 0.973764i \(-0.426925\pi\)
0.736560 + 0.676373i \(0.236449\pi\)
\(62\) 0.920018 1.15367i 0.116842 0.146516i
\(63\) −2.20935 + 0.321397i −0.278352 + 0.0404922i
\(64\) 5.36254 + 6.72441i 0.670317 + 0.840551i
\(65\) −1.51344 1.03184i −0.187719 0.127984i
\(66\) −7.10588 6.59330i −0.874674 0.811579i
\(67\) −5.07276 + 8.78627i −0.619736 + 1.07341i 0.369798 + 0.929112i \(0.379427\pi\)
−0.989534 + 0.144302i \(0.953906\pi\)
\(68\) −2.52033 4.36535i −0.305635 0.529376i
\(69\) 3.88777 17.0334i 0.468032 2.05058i
\(70\) −5.06013 + 2.40486i −0.604801 + 0.287435i
\(71\) −0.556031 2.43613i −0.0659887 0.289115i 0.931157 0.364619i \(-0.118801\pi\)
−0.997146 + 0.0755036i \(0.975944\pi\)
\(72\) 1.90474 1.76734i 0.224475 0.208283i
\(73\) 8.96678 1.35152i 1.04948 0.158184i 0.398416 0.917205i \(-0.369560\pi\)
0.651066 + 0.759021i \(0.274322\pi\)
\(74\) −2.19156 + 0.330324i −0.254764 + 0.0383994i
\(75\) 2.36393 2.19341i 0.272963 0.253273i
\(76\) 0.626554 + 2.74511i 0.0718707 + 0.314886i
\(77\) 7.10048 8.81041i 0.809175 1.00404i
\(78\) 0.504348 2.20969i 0.0571061 0.250198i
\(79\) −2.73663 4.73998i −0.307895 0.533290i 0.670007 0.742355i \(-0.266291\pi\)
−0.977902 + 0.209065i \(0.932958\pi\)
\(80\) 2.04474 3.54160i 0.228609 0.395963i
\(81\) 7.93123 + 7.35910i 0.881247 + 0.817678i
\(82\) 0.0103505 + 0.00705683i 0.00114302 + 0.000779297i
\(83\) 8.68971 + 10.8966i 0.953820 + 1.19605i 0.980522 + 0.196408i \(0.0629279\pi\)
−0.0267026 + 0.999643i \(0.508501\pi\)
\(84\) 2.51107 + 2.35407i 0.273980 + 0.256850i
\(85\) −8.67564 + 10.8789i −0.941005 + 1.17998i
\(86\) −9.39745 + 2.89873i −1.01335 + 0.312578i
\(87\) 4.24946 + 10.8275i 0.455590 + 1.16082i
\(88\) −0.984140 + 13.1324i −0.104910 + 1.39992i
\(89\) −2.71299 + 6.91260i −0.287577 + 0.732734i 0.711958 + 0.702222i \(0.247809\pi\)
−0.999534 + 0.0305113i \(0.990286\pi\)
\(90\) −1.60993 0.775302i −0.169702 0.0817240i
\(91\) 2.61414 + 0.407775i 0.274036 + 0.0427465i
\(92\) −5.32759 + 2.56563i −0.555439 + 0.267485i
\(93\) 0.187012 + 2.49550i 0.0193922 + 0.258771i
\(94\) 3.34818 + 1.03278i 0.345338 + 0.106523i
\(95\) 6.42211 4.37852i 0.658894 0.449227i
\(96\) −6.93541 1.04534i −0.707842 0.106690i
\(97\) −5.12462 −0.520326 −0.260163 0.965565i \(-0.583776\pi\)
−0.260163 + 0.965565i \(0.583776\pi\)
\(98\) 5.11029 6.27463i 0.516217 0.633833i
\(99\) 3.60900 0.362718
\(100\) −1.07923 0.162667i −0.107923 0.0162667i
\(101\) −1.30150 + 0.887345i −0.129504 + 0.0882941i −0.626339 0.779551i \(-0.715448\pi\)
0.496836 + 0.867845i \(0.334495\pi\)
\(102\) −16.4527 5.07498i −1.62906 0.502498i
\(103\) −0.526597 7.02695i −0.0518871 0.692386i −0.961126 0.276111i \(-0.910954\pi\)
0.909239 0.416275i \(-0.136665\pi\)
\(104\) −2.77426 + 1.33601i −0.272038 + 0.131007i
\(105\) 3.51670 8.82669i 0.343195 0.861397i
\(106\) 2.13877 + 1.02998i 0.207736 + 0.100040i
\(107\) −4.12304 + 10.5053i −0.398589 + 1.01559i 0.580879 + 0.813990i \(0.302709\pi\)
−0.979468 + 0.201599i \(0.935386\pi\)
\(108\) 0.209620 2.79718i 0.0201707 0.269159i
\(109\) 3.23109 + 8.23268i 0.309482 + 0.788548i 0.997993 + 0.0633220i \(0.0201695\pi\)
−0.688511 + 0.725226i \(0.741735\pi\)
\(110\) 8.65411 2.66944i 0.825137 0.254521i
\(111\) 2.34351 2.93867i 0.222436 0.278926i
\(112\) −0.471704 + 5.88804i −0.0445718 + 0.556367i
\(113\) −3.89481 4.88394i −0.366393 0.459442i 0.564125 0.825690i \(-0.309214\pi\)
−0.930517 + 0.366248i \(0.880642\pi\)
\(114\) 7.94655 + 5.41787i 0.744263 + 0.507430i
\(115\) 11.9657 + 11.1026i 1.11581 + 1.03532i
\(116\) 1.96832 3.40924i 0.182754 0.316540i
\(117\) 0.421923 + 0.730792i 0.0390068 + 0.0675617i
\(118\) −1.94175 + 8.50736i −0.178752 + 0.783166i
\(119\) 4.57302 19.5713i 0.419208 1.79410i
\(120\) 2.46065 + 10.7808i 0.224625 + 0.984148i
\(121\) −5.34502 + 4.95945i −0.485911 + 0.450859i
\(122\) −9.00804 + 1.35774i −0.815550 + 0.122924i
\(123\) −0.0210079 + 0.00316644i −0.00189422 + 0.000285508i
\(124\) 0.620868 0.576081i 0.0557556 0.0517336i
\(125\) 2.70840 + 11.8663i 0.242246 + 1.06135i
\(126\) 2.58097 + 0.0132706i 0.229931 + 0.00118224i
\(127\) 4.27287 18.7207i 0.379156 1.66119i −0.320908 0.947110i \(-0.603988\pi\)
0.700064 0.714080i \(-0.253155\pi\)
\(128\) −1.39410 2.41466i −0.123222 0.213427i
\(129\) 8.33917 14.4439i 0.734223 1.27171i
\(130\) 1.55228 + 1.44030i 0.136144 + 0.126323i
\(131\) −16.6490 11.3511i −1.45463 0.991752i −0.994593 0.103854i \(-0.966883\pi\)
−0.460040 0.887898i \(-0.652165\pi\)
\(132\) −3.46905 4.35005i −0.301942 0.378623i
\(133\) −5.66341 + 9.69386i −0.491080 + 0.840564i
\(134\) 7.31273 9.16988i 0.631724 0.792157i
\(135\) −7.39920 + 2.28235i −0.636822 + 0.196434i
\(136\) 8.54574 + 21.7742i 0.732791 + 1.86712i
\(137\) −0.642864 + 8.57842i −0.0549236 + 0.732904i 0.899969 + 0.435953i \(0.143589\pi\)
−0.954893 + 0.296951i \(0.904030\pi\)
\(138\) −7.37911 + 18.8017i −0.628152 + 1.60050i
\(139\) −3.84859 1.85338i −0.326433 0.157202i 0.263488 0.964663i \(-0.415127\pi\)
−0.589921 + 0.807461i \(0.700841\pi\)
\(140\) −3.07771 + 0.932045i −0.260114 + 0.0787722i
\(141\) −5.35379 + 2.57825i −0.450870 + 0.217128i
\(142\) 0.215874 + 2.88063i 0.0181157 + 0.241737i
\(143\) −4.08684 1.26062i −0.341759 0.105419i
\(144\) −1.55661 + 1.06128i −0.129717 + 0.0884398i
\(145\) −10.7457 1.61965i −0.892378 0.134504i
\(146\) −10.4831 −0.867589
\(147\) 0.884811 + 13.6955i 0.0729780 + 1.12958i
\(148\) −1.27212 −0.104568
\(149\) −13.4908 2.03341i −1.10521 0.166584i −0.429009 0.903300i \(-0.641137\pi\)
−0.676202 + 0.736717i \(0.736375\pi\)
\(150\) −3.08022 + 2.10006i −0.251499 + 0.171469i
\(151\) −2.91198 0.898227i −0.236974 0.0730966i 0.173994 0.984747i \(-0.444333\pi\)
−0.410967 + 0.911650i \(0.634809\pi\)
\(152\) −0.976442 13.0297i −0.0791999 1.05685i
\(153\) 5.77546 2.78131i 0.466918 0.224856i
\(154\) −9.63486 + 8.84809i −0.776399 + 0.712999i
\(155\) −2.10649 1.01443i −0.169197 0.0814810i
\(156\) 0.475287 1.21101i 0.0380534 0.0969584i
\(157\) −0.843512 + 11.2559i −0.0673196 + 0.898318i 0.856661 + 0.515879i \(0.172535\pi\)
−0.923981 + 0.382438i \(0.875084\pi\)
\(158\) 2.31164 + 5.88997i 0.183904 + 0.468581i
\(159\) −3.84702 + 1.18665i −0.305089 + 0.0941075i
\(160\) 4.08559 5.12317i 0.322994 0.405022i
\(161\) −22.4939 7.06530i −1.77277 0.556824i
\(162\) −7.79850 9.77901i −0.612708 0.768312i
\(163\) −16.5005 11.2499i −1.29242 0.881158i −0.295185 0.955440i \(-0.595381\pi\)
−0.997237 + 0.0742818i \(0.976334\pi\)
\(164\) 0.00527093 + 0.00489071i 0.000411590 + 0.000381900i
\(165\) −7.67954 + 13.3014i −0.597852 + 1.03551i
\(166\) −8.05605 13.9535i −0.625271 1.08300i
\(167\) 1.81910 7.97001i 0.140766 0.616738i −0.854491 0.519466i \(-0.826131\pi\)
0.995258 0.0972724i \(-0.0310118\pi\)
\(168\) −9.89427 12.5387i −0.763359 0.967384i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 11.7919 10.9413i 0.904396 0.839157i
\(171\) −3.54078 + 0.533686i −0.270770 + 0.0408120i
\(172\) −5.58170 + 0.841305i −0.425600 + 0.0641489i
\(173\) −5.98060 + 5.54918i −0.454696 + 0.421896i −0.873982 0.485958i \(-0.838471\pi\)
0.419286 + 0.907854i \(0.362280\pi\)
\(174\) −2.99214 13.1094i −0.226834 0.993824i
\(175\) −2.69576 3.41626i −0.203780 0.258245i
\(176\) 2.12474 9.30909i 0.160158 0.701699i
\(177\) −7.39944 12.8162i −0.556176 0.963325i
\(178\) 4.29237 7.43459i 0.321726 0.557246i
\(179\) 7.83203 + 7.26706i 0.585393 + 0.543166i 0.916297 0.400499i \(-0.131163\pi\)
−0.330904 + 0.943664i \(0.607354\pi\)
\(180\) −0.847424 0.577764i −0.0631633 0.0430640i
\(181\) −0.578085 0.724896i −0.0429688 0.0538811i 0.759883 0.650060i \(-0.225256\pi\)
−0.802852 + 0.596179i \(0.796685\pi\)
\(182\) −2.91806 0.916559i −0.216301 0.0679399i
\(183\) 9.63262 12.0789i 0.712064 0.892900i
\(184\) 26.2209 8.08808i 1.93303 0.596261i
\(185\) 1.28296 + 3.26892i 0.0943248 + 0.240336i
\(186\) 0.216195 2.88492i 0.0158522 0.211533i
\(187\) −11.8696 + 30.2433i −0.867992 + 2.21161i
\(188\) 1.81197 + 0.872601i 0.132152 + 0.0636410i
\(189\) 8.23774 7.56505i 0.599207 0.550277i
\(190\) −8.09577 + 3.89872i −0.587329 + 0.282843i
\(191\) 0.151900 + 2.02696i 0.0109911 + 0.146666i 0.999999 0.00119486i \(-0.000380334\pi\)
−0.989008 + 0.147861i \(0.952761\pi\)
\(192\) 16.1134 + 4.97033i 1.16289 + 0.358703i
\(193\) −0.154559 + 0.105377i −0.0111254 + 0.00758518i −0.568870 0.822427i \(-0.692619\pi\)
0.557745 + 0.830013i \(0.311667\pi\)
\(194\) 5.85814 + 0.882972i 0.420590 + 0.0633937i
\(195\) −3.59121 −0.257172
\(196\) 3.43723 3.12412i 0.245516 0.223152i
\(197\) −23.6083 −1.68202 −0.841009 0.541021i \(-0.818038\pi\)
−0.841009 + 0.541021i \(0.818038\pi\)
\(198\) −4.12558 0.621832i −0.293192 0.0441916i
\(199\) −8.65513 + 5.90096i −0.613546 + 0.418308i −0.829825 0.558023i \(-0.811560\pi\)
0.216280 + 0.976331i \(0.430608\pi\)
\(200\) 4.83969 + 1.49285i 0.342218 + 0.105560i
\(201\) 1.48646 + 19.8354i 0.104847 + 1.39908i
\(202\) 1.64068 0.790109i 0.115438 0.0555919i
\(203\) 15.0227 4.54943i 1.05439 0.319307i
\(204\) −8.90391 4.28790i −0.623398 0.300213i
\(205\) 0.00725162 0.0184768i 0.000506475 0.00129048i
\(206\) −0.608772 + 8.12350i −0.0424151 + 0.565991i
\(207\) −2.74731 7.00004i −0.190951 0.486536i
\(208\) 2.13341 0.658070i 0.147925 0.0456290i
\(209\) 11.3153 14.1890i 0.782698 0.981472i
\(210\) −5.54091 + 9.48419i −0.382359 + 0.654471i
\(211\) −1.82910 2.29362i −0.125921 0.157899i 0.714875 0.699252i \(-0.246484\pi\)
−0.840795 + 0.541353i \(0.817912\pi\)
\(212\) 1.12579 + 0.767551i 0.0773197 + 0.0527157i
\(213\) −3.59125 3.33219i −0.246068 0.228318i
\(214\) 6.52327 11.2986i 0.445921 0.772358i
\(215\) 7.79109 + 13.4946i 0.531348 + 0.920322i
\(216\) −2.89648 + 12.6903i −0.197081 + 0.863467i
\(217\) 3.37702 + 0.0173637i 0.229247 + 0.00117872i
\(218\) −2.27509 9.96780i −0.154088 0.675105i
\(219\) 13.0326 12.0925i 0.880663 0.817136i
\(220\) 5.14018 0.774758i 0.346551 0.0522342i
\(221\) −7.51166 + 1.13220i −0.505289 + 0.0761600i
\(222\) −3.18529 + 2.95552i −0.213783 + 0.198361i
\(223\) 4.15366 + 18.1984i 0.278150 + 1.21865i 0.900131 + 0.435620i \(0.143471\pi\)
−0.621981 + 0.783032i \(0.713672\pi\)
\(224\) −2.15356 + 9.21664i −0.143890 + 0.615813i
\(225\) 0.308852 1.35317i 0.0205902 0.0902113i
\(226\) 3.61080 + 6.25408i 0.240187 + 0.416015i
\(227\) 8.15537 14.1255i 0.541291 0.937543i −0.457540 0.889189i \(-0.651269\pi\)
0.998830 0.0483536i \(-0.0153974\pi\)
\(228\) 4.04674 + 3.75483i 0.268002 + 0.248670i
\(229\) −14.2136 9.69066i −0.939261 0.640377i −0.00615559 0.999981i \(-0.501959\pi\)
−0.933105 + 0.359604i \(0.882912\pi\)
\(230\) −11.7655 14.7535i −0.775794 0.972815i
\(231\) 1.77160 22.1140i 0.116563 1.45499i
\(232\) −11.3899 + 14.2825i −0.747782 + 0.937689i
\(233\) 17.1652 5.29477i 1.12453 0.346872i 0.323937 0.946079i \(-0.394993\pi\)
0.800595 + 0.599206i \(0.204517\pi\)
\(234\) −0.356400 0.908092i −0.0232986 0.0593638i
\(235\) 0.414880 5.53618i 0.0270638 0.361141i
\(236\) −1.82986 + 4.66241i −0.119114 + 0.303497i
\(237\) −9.66805 4.65589i −0.628007 0.302432i
\(238\) −8.59972 + 21.5847i −0.557437 + 1.39913i
\(239\) 1.83021 0.881383i 0.118386 0.0570119i −0.373753 0.927528i \(-0.621929\pi\)
0.492140 + 0.870516i \(0.336215\pi\)
\(240\) −0.599166 7.99532i −0.0386760 0.516096i
\(241\) −25.8473 7.97283i −1.66497 0.513575i −0.687775 0.725924i \(-0.741412\pi\)
−0.977194 + 0.212349i \(0.931889\pi\)
\(242\) 6.96460 4.74838i 0.447701 0.305238i
\(243\) 8.43517 + 1.27140i 0.541116 + 0.0815602i
\(244\) −5.22885 −0.334743
\(245\) −11.4944 5.68176i −0.734351 0.362995i
\(246\) 0.0245605 0.00156592
\(247\) 4.19600 + 0.632446i 0.266985 + 0.0402416i
\(248\) −3.24738 + 2.21403i −0.206209 + 0.140591i
\(249\) 26.1109 + 8.05416i 1.65471 + 0.510412i
\(250\) −1.05151 14.0314i −0.0665033 0.887424i
\(251\) −1.71262 + 0.824753i −0.108099 + 0.0520580i −0.487152 0.873317i \(-0.661964\pi\)
0.379053 + 0.925375i \(0.376250\pi\)
\(252\) 1.46375 + 0.228327i 0.0922073 + 0.0143833i
\(253\) 34.3384 + 16.5365i 2.15884 + 1.03964i
\(254\) −8.11005 + 20.6641i −0.508870 + 1.29658i
\(255\) −2.03869 + 27.2044i −0.127668 + 1.70361i
\(256\) −5.10688 13.0121i −0.319180 0.813257i
\(257\) −13.0780 + 4.03404i −0.815786 + 0.251637i −0.674446 0.738325i \(-0.735617\pi\)
−0.141340 + 0.989961i \(0.545141\pi\)
\(258\) −12.0215 + 15.0745i −0.748426 + 0.938496i
\(259\) −3.70046 3.46911i −0.229936 0.215560i
\(260\) 0.757812 + 0.950267i 0.0469975 + 0.0589330i
\(261\) 4.13639 + 2.82014i 0.256036 + 0.174562i
\(262\) 17.0763 + 15.8445i 1.05498 + 0.978877i
\(263\) 15.7624 27.3013i 0.971953 1.68347i 0.282308 0.959324i \(-0.408900\pi\)
0.689645 0.724148i \(-0.257767\pi\)
\(264\) 12.9096 + 22.3602i 0.794534 + 1.37617i
\(265\) 0.836965 3.66698i 0.0514144 0.225261i
\(266\) 8.14430 10.1056i 0.499359 0.619614i
\(267\) 3.23970 + 14.1940i 0.198266 + 0.868661i
\(268\) 4.93495 4.57897i 0.301450 0.279705i
\(269\) 30.4428 4.58852i 1.85613 0.279767i 0.876625 0.481174i \(-0.159790\pi\)
0.979508 + 0.201407i \(0.0645514\pi\)
\(270\) 8.85155 1.33416i 0.538688 0.0811942i
\(271\) −5.35914 + 4.97255i −0.325544 + 0.302061i −0.825965 0.563721i \(-0.809369\pi\)
0.500421 + 0.865782i \(0.333179\pi\)
\(272\) −3.77394 16.5347i −0.228829 1.00257i
\(273\) 4.68501 2.22658i 0.283549 0.134759i
\(274\) 2.21294 9.69554i 0.133689 0.585729i
\(275\) 3.51731 + 6.09217i 0.212102 + 0.367371i
\(276\) −5.79660 + 10.0400i −0.348915 + 0.604338i
\(277\) −0.0322710 0.0299432i −0.00193898 0.00179911i 0.679203 0.733951i \(-0.262326\pi\)
−0.681142 + 0.732152i \(0.738516\pi\)
\(278\) 4.08012 + 2.78178i 0.244709 + 0.166840i
\(279\) 0.671557 + 0.842106i 0.0402051 + 0.0504155i
\(280\) 14.7672 2.14820i 0.882507 0.128379i
\(281\) 16.7043 20.9466i 0.996496 1.24957i 0.0282415 0.999601i \(-0.491009\pi\)
0.968255 0.249966i \(-0.0804193\pi\)
\(282\) 6.56434 2.02483i 0.390901 0.120577i
\(283\) −4.32231 11.0131i −0.256934 0.654658i 0.742958 0.669338i \(-0.233422\pi\)
−0.999892 + 0.0146800i \(0.995327\pi\)
\(284\) −0.123907 + 1.65343i −0.00735255 + 0.0981130i
\(285\) 5.56741 14.1855i 0.329785 0.840279i
\(286\) 4.45462 + 2.14523i 0.263407 + 0.126850i
\(287\) 0.00199548 + 0.0286004i 0.000117790 + 0.00168823i
\(288\) −2.71982 + 1.30980i −0.160267 + 0.0771804i
\(289\) 3.04203 + 40.5931i 0.178943 + 2.38783i
\(290\) 12.0047 + 3.70296i 0.704939 + 0.217445i
\(291\) −8.30137 + 5.65978i −0.486635 + 0.331782i
\(292\) −5.94991 0.896805i −0.348192 0.0524815i
\(293\) −1.82258 −0.106476 −0.0532382 0.998582i \(-0.516954\pi\)
−0.0532382 + 0.998582i \(0.516954\pi\)
\(294\) 1.34827 15.8082i 0.0786327 0.921955i
\(295\) 13.8262 0.804995
\(296\) 5.83733 + 0.879836i 0.339288 + 0.0511394i
\(297\) −14.9380 + 10.1846i −0.866791 + 0.590968i
\(298\) 15.0715 + 4.64894i 0.873068 + 0.269306i
\(299\) 0.665951 + 8.88649i 0.0385129 + 0.513919i
\(300\) −1.92790 + 0.928426i −0.111307 + 0.0536027i
\(301\) −18.5308 12.7741i −1.06810 0.736289i
\(302\) 3.17403 + 1.52853i 0.182645 + 0.0879570i
\(303\) −1.12828 + 2.87482i −0.0648183 + 0.165154i
\(304\) −0.707978 + 9.44732i −0.0406054 + 0.541841i
\(305\) 5.27338 + 13.4363i 0.301953 + 0.769363i
\(306\) −7.08136 + 2.18431i −0.404815 + 0.124869i
\(307\) 0.306479 0.384312i 0.0174917 0.0219339i −0.773009 0.634395i \(-0.781249\pi\)
0.790500 + 0.612462i \(0.209821\pi\)
\(308\) −6.22539 + 4.19768i −0.354725 + 0.239185i
\(309\) −8.61381 10.8014i −0.490022 0.614469i
\(310\) 2.23322 + 1.52258i 0.126838 + 0.0864768i
\(311\) −5.20922 4.83345i −0.295388 0.274080i 0.518530 0.855059i \(-0.326479\pi\)
−0.813918 + 0.580979i \(0.802670\pi\)
\(312\) −3.01849 + 5.22818i −0.170889 + 0.295988i
\(313\) −1.23687 2.14232i −0.0699119 0.121091i 0.828950 0.559322i \(-0.188938\pi\)
−0.898862 + 0.438231i \(0.855605\pi\)
\(314\) 2.90364 12.7217i 0.163862 0.717926i
\(315\) −0.889488 3.99159i −0.0501170 0.224901i
\(316\) 0.808148 + 3.54073i 0.0454619 + 0.199182i
\(317\) 5.91303 5.48649i 0.332109 0.308152i −0.496437 0.868072i \(-0.665359\pi\)
0.828546 + 0.559920i \(0.189168\pi\)
\(318\) 4.60214 0.693660i 0.258075 0.0388985i
\(319\) −25.0899 + 3.78169i −1.40476 + 0.211734i
\(320\) −11.5487 + 10.7157i −0.645593 + 0.599023i
\(321\) 4.92348 + 21.5712i 0.274802 + 1.20399i
\(322\) 24.4962 + 11.9523i 1.36512 + 0.666076i
\(323\) 7.17296 31.4268i 0.399114 1.74863i
\(324\) −3.58963 6.21742i −0.199424 0.345412i
\(325\) −0.822407 + 1.42445i −0.0456190 + 0.0790143i
\(326\) 16.9240 + 15.7032i 0.937335 + 0.869720i
\(327\) 14.3265 + 9.76762i 0.792255 + 0.540151i
\(328\) −0.0208039 0.0260873i −0.00114870 0.00144043i
\(329\) 2.89123 + 7.47959i 0.159399 + 0.412363i
\(330\) 11.0706 13.8821i 0.609416 0.764184i
\(331\) 8.98040 2.77009i 0.493607 0.152258i −0.0379507 0.999280i \(-0.512083\pi\)
0.531558 + 0.847022i \(0.321607\pi\)
\(332\) −3.37869 8.60876i −0.185430 0.472467i
\(333\) 0.120896 1.61325i 0.00662508 0.0884056i
\(334\) −3.45272 + 8.79738i −0.188924 + 0.481371i
\(335\) −16.7433 8.06317i −0.914786 0.440538i
\(336\) 5.73881 + 10.0590i 0.313078 + 0.548764i
\(337\) 16.5749 7.98205i 0.902893 0.434810i 0.0759598 0.997111i \(-0.475798\pi\)
0.826933 + 0.562301i \(0.190084\pi\)
\(338\) 0.0863917 + 1.15282i 0.00469909 + 0.0627049i
\(339\) −11.7032 3.60995i −0.635629 0.196066i
\(340\) 7.62872 5.20117i 0.413726 0.282073i
\(341\) −5.39805 0.813625i −0.292321 0.0440602i
\(342\) 4.13955 0.223841
\(343\) 18.5181 + 0.285664i 0.999881 + 0.0154244i
\(344\) 26.1943 1.41230
\(345\) 31.6453 + 4.76977i 1.70373 + 0.256796i
\(346\) 7.79276 5.31302i 0.418942 0.285630i
\(347\) 1.02663 + 0.316673i 0.0551124 + 0.0169999i 0.322189 0.946675i \(-0.395581\pi\)
−0.267076 + 0.963675i \(0.586058\pi\)
\(348\) −0.576773 7.69650i −0.0309183 0.412576i
\(349\) 7.30173 3.51633i 0.390853 0.188225i −0.228128 0.973631i \(-0.573260\pi\)
0.618980 + 0.785406i \(0.287546\pi\)
\(350\) 2.49300 + 4.36973i 0.133256 + 0.233572i
\(351\) −3.80866 1.83416i −0.203291 0.0979000i
\(352\) 5.58971 14.2424i 0.297933 0.759120i
\(353\) −0.672285 + 8.97102i −0.0357821 + 0.477479i 0.950313 + 0.311296i \(0.100763\pi\)
−0.986095 + 0.166183i \(0.946856\pi\)
\(354\) 6.25034 + 15.9256i 0.332202 + 0.846436i
\(355\) 4.37371 1.34911i 0.232132 0.0716033i
\(356\) 3.07223 3.85246i 0.162828 0.204180i
\(357\) −14.2073 36.7542i −0.751930 1.94524i
\(358\) −7.70096 9.65670i −0.407009 0.510373i
\(359\) 7.40536 + 5.04889i 0.390840 + 0.266470i 0.742757 0.669561i \(-0.233518\pi\)
−0.351917 + 0.936031i \(0.614470\pi\)
\(360\) 3.48894 + 3.23726i 0.183883 + 0.170619i
\(361\) 0.496786 0.860459i 0.0261466 0.0452873i
\(362\) 0.535931 + 0.928260i 0.0281679 + 0.0487883i
\(363\) −3.18103 + 13.9370i −0.166961 + 0.731504i
\(364\) −1.57779 0.769845i −0.0826989 0.0403508i
\(365\) 3.69610 + 16.1937i 0.193463 + 0.847615i
\(366\) −13.0926 + 12.1482i −0.684361 + 0.634994i
\(367\) −18.1597 + 2.73713i −0.947927 + 0.142877i −0.604769 0.796401i \(-0.706735\pi\)
−0.343158 + 0.939278i \(0.611497\pi\)
\(368\) −19.6734 + 2.96529i −1.02555 + 0.154576i
\(369\) −0.00670310 + 0.00621957i −0.000348950 + 0.000323778i
\(370\) −0.903359 3.95787i −0.0469634 0.205760i
\(371\) 1.18167 + 5.30278i 0.0613494 + 0.275306i
\(372\) 0.369503 1.61890i 0.0191579 0.0839361i
\(373\) 2.92095 + 5.05924i 0.151241 + 0.261958i 0.931684 0.363270i \(-0.118340\pi\)
−0.780443 + 0.625227i \(0.785006\pi\)
\(374\) 18.7795 32.5271i 0.971065 1.68193i
\(375\) 17.4928 + 16.2309i 0.903323 + 0.838161i
\(376\) −7.71101 5.25728i −0.397665 0.271123i
\(377\) −3.69898 4.63837i −0.190507 0.238888i
\(378\) −10.7203 + 7.22853i −0.551394 + 0.371795i
\(379\) 1.41525 1.77466i 0.0726963 0.0911582i −0.744154 0.668009i \(-0.767147\pi\)
0.816850 + 0.576850i \(0.195718\pi\)
\(380\) −4.92845 + 1.52022i −0.252824 + 0.0779858i
\(381\) −13.7540 35.0447i −0.704640 1.79539i
\(382\) 0.175604 2.34327i 0.00898466 0.119892i
\(383\) −0.0694781 + 0.177027i −0.00355016 + 0.00904567i −0.932638 0.360814i \(-0.882499\pi\)
0.929088 + 0.369860i \(0.120594\pi\)
\(384\) −4.92513 2.37182i −0.251334 0.121036i
\(385\) 17.0650 + 11.7637i 0.869713 + 0.599534i
\(386\) 0.194839 0.0938294i 0.00991703 0.00477579i
\(387\) −0.536449 7.15842i −0.0272692 0.363883i
\(388\) 3.24937 + 1.00230i 0.164962 + 0.0508840i
\(389\) 30.2339 20.6131i 1.53292 1.04513i 0.556088 0.831124i \(-0.312302\pi\)
0.976833 0.214004i \(-0.0686505\pi\)
\(390\) 4.10525 + 0.618767i 0.207877 + 0.0313325i
\(391\) 67.6956 3.42351
\(392\) −17.9330 + 11.9582i −0.905752 + 0.603982i
\(393\) −39.5063 −1.99283
\(394\) 26.9875 + 4.06771i 1.35961 + 0.204928i
\(395\) 8.28343 5.64754i 0.416784 0.284159i
\(396\) −2.28836 0.705867i −0.114995 0.0354711i
\(397\) −2.87412 38.3524i −0.144248 1.92485i −0.333183 0.942862i \(-0.608123\pi\)
0.188935 0.981990i \(-0.439496\pi\)
\(398\) 10.9107 5.25433i 0.546906 0.263376i
\(399\) 1.53203 + 21.9579i 0.0766973 + 1.09927i
\(400\) −3.30855 1.59331i −0.165427 0.0796657i
\(401\) 11.8127 30.0984i 0.589900 1.50304i −0.254361 0.967109i \(-0.581865\pi\)
0.844261 0.535931i \(-0.180039\pi\)
\(402\) 1.71842 22.9307i 0.0857069 1.14368i
\(403\) −0.466325 1.18818i −0.0232293 0.0591873i
\(404\) 0.998792 0.308087i 0.0496918 0.0153279i
\(405\) −12.3564 + 15.4945i −0.613996 + 0.769927i
\(406\) −17.9569 + 2.61221i −0.891184 + 0.129642i
\(407\) 5.11221 + 6.41051i 0.253403 + 0.317757i
\(408\) 37.8913 + 25.8339i 1.87590 + 1.27897i
\(409\) −8.44177 7.83282i −0.417419 0.387308i 0.443313 0.896367i \(-0.353803\pi\)
−0.860732 + 0.509059i \(0.829994\pi\)
\(410\) −0.0114732 + 0.0198721i −0.000566619 + 0.000981412i
\(411\) 8.43289 + 14.6062i 0.415964 + 0.720470i
\(412\) −1.04047 + 4.55858i −0.0512601 + 0.224585i
\(413\) −18.0374 + 8.57237i −0.887561 + 0.421819i
\(414\) 1.93445 + 8.47536i 0.0950728 + 0.416541i
\(415\) −18.7141 + 17.3641i −0.918639 + 0.852372i
\(416\) 3.53744 0.533183i 0.173437 0.0261415i
\(417\) −8.28126 + 1.24820i −0.405535 + 0.0611246i
\(418\) −15.3797 + 14.2703i −0.752247 + 0.697984i
\(419\) 5.54720 + 24.3039i 0.270999 + 1.18732i 0.908837 + 0.417152i \(0.136972\pi\)
−0.637838 + 0.770171i \(0.720171\pi\)
\(420\) −3.95621 + 4.90894i −0.193043 + 0.239532i
\(421\) 6.18252 27.0874i 0.301317 1.32016i −0.566823 0.823839i \(-0.691828\pi\)
0.868141 0.496318i \(-0.165315\pi\)
\(422\) 1.69572 + 2.93708i 0.0825465 + 0.142975i
\(423\) −1.27880 + 2.21494i −0.0621772 + 0.107694i
\(424\) −4.63500 4.30066i −0.225096 0.208858i
\(425\) 10.3237 + 7.03860i 0.500774 + 0.341422i
\(426\) 3.53115 + 4.42792i 0.171085 + 0.214534i
\(427\) −15.2101 14.2592i −0.736070 0.690050i
\(428\) 4.66898 5.85472i 0.225684 0.282999i
\(429\) −8.01255 + 2.47155i −0.386850 + 0.119327i
\(430\) −6.58117 16.7685i −0.317372 0.808651i
\(431\) 1.88592 25.1659i 0.0908418 1.21220i −0.746450 0.665442i \(-0.768243\pi\)
0.837291 0.546757i \(-0.184138\pi\)
\(432\) 3.44804 8.78546i 0.165894 0.422691i
\(433\) −31.9446 15.3837i −1.53516 0.739294i −0.540387 0.841416i \(-0.681722\pi\)
−0.994772 + 0.102123i \(0.967437\pi\)
\(434\) −3.85741 0.601710i −0.185161 0.0288830i
\(435\) −19.1957 + 9.24415i −0.920362 + 0.443223i
\(436\) −0.438551 5.85206i −0.0210028 0.280263i
\(437\) −36.1347 11.1461i −1.72856 0.533189i
\(438\) −16.9816 + 11.5779i −0.811413 + 0.553212i
\(439\) 16.0641 + 2.42127i 0.766696 + 0.115561i 0.520734 0.853719i \(-0.325658\pi\)
0.245961 + 0.969280i \(0.420896\pi\)
\(440\) −24.1223 −1.14999
\(441\) 3.63522 + 4.65584i 0.173106 + 0.221707i
\(442\) 8.78193 0.417714
\(443\) −27.5415 4.15121i −1.30854 0.197230i −0.542516 0.840046i \(-0.682528\pi\)
−0.766021 + 0.642816i \(0.777766\pi\)
\(444\) −2.06071 + 1.40497i −0.0977971 + 0.0666770i
\(445\) −12.9979 4.00931i −0.616158 0.190060i
\(446\) −1.61262 21.5189i −0.0763597 1.01895i
\(447\) −24.0995 + 11.6057i −1.13987 + 0.548932i
\(448\) 8.42239 21.1397i 0.397921 0.998755i
\(449\) 20.8608 + 10.0460i 0.984482 + 0.474102i 0.855645 0.517564i \(-0.173161\pi\)
0.128838 + 0.991666i \(0.458875\pi\)
\(450\) −0.586212 + 1.49364i −0.0276343 + 0.0704110i
\(451\) 0.00346336 0.0462154i 0.000163083 0.00217620i
\(452\) 1.51436 + 3.85853i 0.0712295 + 0.181490i
\(453\) −5.70915 + 1.76104i −0.268239 + 0.0827408i
\(454\) −11.7565 + 14.7422i −0.551761 + 0.691887i
\(455\) −0.387005 + 4.83079i −0.0181431 + 0.226471i
\(456\) −15.9721 20.0284i −0.747964 0.937918i
\(457\) −3.86109 2.63245i −0.180614 0.123141i 0.469638 0.882859i \(-0.344384\pi\)
−0.650252 + 0.759718i \(0.725337\pi\)
\(458\) 14.5784 + 13.5268i 0.681203 + 0.632064i
\(459\) −16.0563 + 27.8104i −0.749446 + 1.29808i
\(460\) −5.41563 9.38014i −0.252505 0.437351i
\(461\) 6.63739 29.0803i 0.309134 1.35440i −0.546776 0.837279i \(-0.684145\pi\)
0.855910 0.517125i \(-0.172998\pi\)
\(462\) −5.83542 + 24.9741i −0.271489 + 1.16190i
\(463\) −1.10846 4.85649i −0.0515146 0.225700i 0.942617 0.333875i \(-0.108356\pi\)
−0.994132 + 0.108175i \(0.965499\pi\)
\(464\) 9.70953 9.00912i 0.450753 0.418238i
\(465\) −4.53267 + 0.683190i −0.210197 + 0.0316822i
\(466\) −20.5345 + 3.09508i −0.951243 + 0.143377i
\(467\) −23.9741 + 22.2447i −1.10939 + 1.02936i −0.110015 + 0.993930i \(0.535090\pi\)
−0.999372 + 0.0354311i \(0.988720\pi\)
\(468\) −0.124597 0.545895i −0.00575950 0.0252340i
\(469\) 26.8422 + 0.138015i 1.23946 + 0.00637293i
\(470\) −1.42815 + 6.25713i −0.0658756 + 0.288620i
\(471\) 11.0649 + 19.1650i 0.509845 + 0.883078i
\(472\) 11.6213 20.1286i 0.534912 0.926494i
\(473\) 26.6704 + 24.7465i 1.22630 + 1.13784i
\(474\) 10.2497 + 6.98812i 0.470784 + 0.320975i
\(475\) −4.35171 5.45687i −0.199670 0.250379i
\(476\) −6.72747 + 11.5152i −0.308353 + 0.527797i
\(477\) −1.08036 + 1.35473i −0.0494665 + 0.0620290i
\(478\) −2.24404 + 0.692196i −0.102640 + 0.0316603i
\(479\) 12.1330 + 30.9145i 0.554373 + 1.41252i 0.883589 + 0.468264i \(0.155120\pi\)
−0.329216 + 0.944255i \(0.606784\pi\)
\(480\) 0.960072 12.8113i 0.0438211 0.584752i
\(481\) −0.700412 + 1.78462i −0.0319360 + 0.0813717i
\(482\) 28.1732 + 13.5675i 1.28326 + 0.617984i
\(483\) −44.2410 + 13.3978i −2.01303 + 0.609622i
\(484\) 4.35911 2.09924i 0.198142 0.0954199i
\(485\) −0.701480 9.36060i −0.0318526 0.425043i
\(486\) −9.42349 2.90676i −0.427458 0.131853i
\(487\) 16.1531 11.0130i 0.731967 0.499046i −0.139059 0.990284i \(-0.544408\pi\)
0.871026 + 0.491238i \(0.163455\pi\)
\(488\) 23.9934 + 3.61642i 1.08613 + 0.163708i
\(489\) −39.1539 −1.77060
\(490\) 12.1607 + 8.47552i 0.549366 + 0.382885i
\(491\) 2.93953 0.132659 0.0663296 0.997798i \(-0.478871\pi\)
0.0663296 + 0.997798i \(0.478871\pi\)
\(492\) 0.0139398 + 0.00210109i 0.000628456 + 9.47245e-5i
\(493\) −37.2368 + 25.3876i −1.67706 + 1.14340i
\(494\) −4.68764 1.44594i −0.210907 0.0650561i
\(495\) 0.494016 + 6.59218i 0.0222044 + 0.296297i
\(496\) 2.56750 1.23644i 0.115284 0.0555180i
\(497\) −4.86937 + 4.47174i −0.218421 + 0.200585i
\(498\) −28.4607 13.7059i −1.27535 0.614177i
\(499\) −15.9701 + 40.6910i −0.714918 + 1.82158i −0.165140 + 0.986270i \(0.552808\pi\)
−0.549778 + 0.835311i \(0.685288\pi\)
\(500\) 0.603547 8.05377i 0.0269914 0.360175i
\(501\) −5.85555 14.9197i −0.261607 0.666563i
\(502\) 2.09986 0.647722i 0.0937214 0.0289092i
\(503\) −7.72735 + 9.68979i −0.344545 + 0.432046i −0.923668 0.383194i \(-0.874824\pi\)
0.579122 + 0.815241i \(0.303395\pi\)
\(504\) −6.55870 2.06008i −0.292148 0.0917633i
\(505\) −1.79897 2.25584i −0.0800533 0.100384i
\(506\) −36.4043 24.8200i −1.61837 1.10338i
\(507\) −1.43720 1.33353i −0.0638284 0.0592241i
\(508\) −6.37078 + 11.0345i −0.282658 + 0.489578i
\(509\) −10.8949 18.8706i −0.482909 0.836423i 0.516899 0.856047i \(-0.327086\pi\)
−0.999807 + 0.0196240i \(0.993753\pi\)
\(510\) 7.01782 30.7471i 0.310754 1.36150i
\(511\) −14.8620 18.8342i −0.657457 0.833177i
\(512\) 4.83674 + 21.1911i 0.213756 + 0.936525i
\(513\) 13.1496 12.2010i 0.580567 0.538688i
\(514\) 15.6451 2.35811i 0.690074 0.104012i
\(515\) 12.7633 1.92376i 0.562418 0.0847709i
\(516\) −8.11263 + 7.52742i −0.357139 + 0.331376i
\(517\) −2.88445 12.6376i −0.126858 0.555801i
\(518\) 3.63241 + 4.60325i 0.159599 + 0.202255i
\(519\) −3.55929 + 15.5943i −0.156236 + 0.684513i
\(520\) −2.82011 4.88457i −0.123670 0.214202i
\(521\) −21.3586 + 36.9941i −0.935735 + 1.62074i −0.162417 + 0.986722i \(0.551929\pi\)
−0.773318 + 0.634019i \(0.781404\pi\)
\(522\) −4.24254 3.93651i −0.185691 0.172296i
\(523\) 5.72644 + 3.90422i 0.250400 + 0.170720i 0.682015 0.731338i \(-0.261104\pi\)
−0.431615 + 0.902058i \(0.642056\pi\)
\(524\) 8.33656 + 10.4537i 0.364184 + 0.456673i
\(525\) −8.13987 2.55673i −0.355253 0.111585i
\(526\) −22.7226 + 28.4933i −0.990754 + 1.24237i
\(527\) −9.26549 + 2.85802i −0.403611 + 0.124497i
\(528\) −6.83937 17.4264i −0.297646 0.758388i
\(529\) 4.21577 56.2555i 0.183294 2.44589i
\(530\) −1.58859 + 4.04766i −0.0690038 + 0.175819i
\(531\) −5.73877 2.76364i −0.249041 0.119932i
\(532\) 5.48697 5.03892i 0.237890 0.218465i
\(533\) 0.00976311 0.00470167i 0.000422887 0.000203652i
\(534\) −1.25778 16.7839i −0.0544295 0.726311i
\(535\) −19.7534 6.09310i −0.854012 0.263428i
\(536\) −25.8117 + 17.5981i −1.11490 + 0.760123i
\(537\) 20.7131 + 3.12199i 0.893835 + 0.134724i
\(538\) −35.5909 −1.53443
\(539\) −29.5561 4.76620i −1.27307 0.205295i
\(540\) 5.13801 0.221105
\(541\) −2.86376 0.431643i −0.123123 0.0185578i 0.0871918 0.996192i \(-0.472211\pi\)
−0.210315 + 0.977634i \(0.567449\pi\)
\(542\) 6.98300 4.76093i 0.299945 0.204499i
\(543\) −1.73704 0.535805i −0.0745435 0.0229936i
\(544\) −2.03084 27.0997i −0.0870717 1.16189i
\(545\) −14.5955 + 7.02882i −0.625202 + 0.301081i
\(546\) −5.73924 + 1.73806i −0.245617 + 0.0743819i
\(547\) 27.6977 + 13.3385i 1.18427 + 0.570314i 0.919152 0.393902i \(-0.128875\pi\)
0.265117 + 0.964216i \(0.414589\pi\)
\(548\) 2.08543 5.31359i 0.0890852 0.226985i
\(549\) 0.496925 6.63100i 0.0212082 0.283004i
\(550\) −2.97109 7.57021i −0.126688 0.322795i
\(551\) 24.0564 7.42041i 1.02484 0.316120i
\(552\) 33.5425 42.0610i 1.42767 1.79024i
\(553\) −7.30483 + 12.5034i −0.310633 + 0.531700i
\(554\) 0.0317310 + 0.0397894i 0.00134812 + 0.00169049i
\(555\) 5.68855 + 3.87839i 0.241466 + 0.164628i
\(556\) 2.07778 + 1.92790i 0.0881176 + 0.0817612i
\(557\) −0.944964 + 1.63673i −0.0400394 + 0.0693503i −0.885351 0.464924i \(-0.846082\pi\)
0.845311 + 0.534274i \(0.179415\pi\)
\(558\) −0.622587 1.07835i −0.0263562 0.0456503i
\(559\) −1.89296 + 8.29359i −0.0800636 + 0.350781i
\(560\) −10.8196 0.0556315i −0.457213 0.00235086i
\(561\) 14.1740 + 62.1003i 0.598426 + 2.62188i
\(562\) −22.7044 + 21.0666i −0.957728 + 0.888642i
\(563\) −18.9389 + 2.85458i −0.798179 + 0.120306i −0.535454 0.844565i \(-0.679859\pi\)
−0.262725 + 0.964871i \(0.584621\pi\)
\(564\) 3.89895 0.587672i 0.164175 0.0247454i
\(565\) 8.38783 7.78277i 0.352879 0.327424i
\(566\) 3.04344 + 13.3342i 0.127925 + 0.560477i
\(567\) 6.51320 27.8748i 0.273529 1.17063i
\(568\) 1.71213 7.50132i 0.0718392 0.314748i
\(569\) 8.17261 + 14.1554i 0.342614 + 0.593424i 0.984917 0.173026i \(-0.0553545\pi\)
−0.642304 + 0.766450i \(0.722021\pi\)
\(570\) −8.80849 + 15.2567i −0.368947 + 0.639035i
\(571\) 15.9496 + 14.7991i 0.667471 + 0.619322i 0.939330 0.343015i \(-0.111448\pi\)
−0.271859 + 0.962337i \(0.587639\pi\)
\(572\) 2.34479 + 1.59865i 0.0980406 + 0.0668429i
\(573\) 2.48470 + 3.11571i 0.103800 + 0.130161i
\(574\) 0.00264675 0.0330380i 0.000110473 0.00137898i
\(575\) 9.13888 11.4598i 0.381118 0.477906i
\(576\) 6.93534 2.13927i 0.288972 0.0891362i
\(577\) −1.88571 4.80470i −0.0785030 0.200022i 0.886234 0.463238i \(-0.153312\pi\)
−0.964737 + 0.263215i \(0.915217\pi\)
\(578\) 3.51674 46.9276i 0.146277 1.95193i
\(579\) −0.133989 + 0.341400i −0.00556841 + 0.0141881i
\(580\) 6.49673 + 3.12866i 0.269762 + 0.129911i
\(581\) 13.6480 34.2557i 0.566216 1.42117i
\(582\) 10.4648 5.03958i 0.433779 0.208897i
\(583\) −0.656293 8.75762i −0.0271809 0.362704i
\(584\) 26.6818 + 8.23025i 1.10410 + 0.340570i
\(585\) −1.27711 + 0.870716i −0.0528018 + 0.0359997i
\(586\) 2.08346 + 0.314031i 0.0860670 + 0.0129725i
\(587\) −11.8148 −0.487648 −0.243824 0.969819i \(-0.578402\pi\)
−0.243824 + 0.969819i \(0.578402\pi\)
\(588\) 2.11759 8.85695i 0.0873281 0.365254i
\(589\) 5.41632 0.223176
\(590\) −15.8053 2.38226i −0.650693 0.0980763i
\(591\) −38.2430 + 26.0737i −1.57311 + 1.07253i
\(592\) −4.09006 1.26162i −0.168100 0.0518521i
\(593\) 0.689949 + 9.20673i 0.0283328 + 0.378075i 0.993289 + 0.115663i \(0.0368991\pi\)
−0.964956 + 0.262413i \(0.915482\pi\)
\(594\) 18.8310 9.06852i 0.772645 0.372086i
\(595\) 36.3748 + 5.67405i 1.49122 + 0.232613i
\(596\) 8.15643 + 3.92793i 0.334100 + 0.160894i
\(597\) −7.50325 + 19.1180i −0.307087 + 0.782446i
\(598\) 0.769872 10.2732i 0.0314824 0.420103i
\(599\) −15.9936 40.7511i −0.653482 1.66504i −0.743193 0.669077i \(-0.766690\pi\)
0.0897112 0.995968i \(-0.471406\pi\)
\(600\) 9.48857 2.92684i 0.387369 0.119488i
\(601\) 12.2370 15.3448i 0.499159 0.625926i −0.466880 0.884320i \(-0.654622\pi\)
0.966039 + 0.258395i \(0.0831936\pi\)
\(602\) 18.9822 + 17.7954i 0.773658 + 0.725288i
\(603\) 5.33785 + 6.69345i 0.217374 + 0.272578i
\(604\) 1.67072 + 1.13908i 0.0679807 + 0.0463485i
\(605\) −9.79055 9.08431i −0.398043 0.369330i
\(606\) 1.78512 3.09191i 0.0725154 0.125600i
\(607\) −12.7554 22.0930i −0.517725 0.896725i −0.999788 0.0205891i \(-0.993446\pi\)
0.482063 0.876136i \(-0.339888\pi\)
\(608\) −3.37794 + 14.7997i −0.136993 + 0.600208i
\(609\) 19.3108 23.9611i 0.782511 0.970954i
\(610\) −3.71311 16.2682i −0.150339 0.658679i
\(611\) 2.22179 2.06152i 0.0898840 0.0834002i
\(612\) −4.20603 + 0.633958i −0.170019 + 0.0256262i
\(613\) −38.1700 + 5.75320i −1.54167 + 0.232369i −0.864188 0.503169i \(-0.832167\pi\)
−0.677483 + 0.735539i \(0.736929\pi\)
\(614\) −0.416564 + 0.386515i −0.0168112 + 0.0155985i
\(615\) −0.00865945 0.0379395i −0.000349183 0.00152987i
\(616\) 31.4694 14.9560i 1.26794 0.602595i
\(617\) −7.45513 + 32.6630i −0.300132 + 1.31496i 0.569796 + 0.821786i \(0.307022\pi\)
−0.869928 + 0.493179i \(0.835835\pi\)
\(618\) 7.98568 + 13.8316i 0.321231 + 0.556389i
\(619\) −12.5697 + 21.7714i −0.505220 + 0.875067i 0.494761 + 0.869029i \(0.335255\pi\)
−0.999982 + 0.00603845i \(0.998078\pi\)
\(620\) 1.13725 + 1.05522i 0.0456732 + 0.0423786i
\(621\) 31.1254 + 21.2209i 1.24902 + 0.851567i
\(622\) 5.12205 + 6.42285i 0.205376 + 0.257533i
\(623\) 19.4425 2.82833i 0.778947 0.113314i
\(624\) 2.72912 3.42221i 0.109252 0.136998i
\(625\) −13.4454 + 4.14736i −0.537816 + 0.165894i
\(626\) 1.04479 + 2.66208i 0.0417581 + 0.106398i
\(627\) 2.65899 35.4817i 0.106190 1.41700i
\(628\) 2.73633 6.97205i 0.109191 0.278215i
\(629\) 13.1214 + 6.31891i 0.523183 + 0.251952i
\(630\) 0.329054 + 4.71620i 0.0131098 + 0.187898i
\(631\) 3.35494 1.61565i 0.133558 0.0643182i −0.365911 0.930650i \(-0.619243\pi\)
0.499469 + 0.866332i \(0.333528\pi\)
\(632\) −1.25944 16.8061i −0.0500980 0.668511i
\(633\) −5.49611 1.69532i −0.218451 0.0673831i
\(634\) −7.70473 + 5.25299i −0.305994 + 0.208623i
\(635\) 34.7799 + 5.24223i 1.38020 + 0.208032i
\(636\) 2.67138 0.105927
\(637\) −2.49025 6.54207i −0.0986671 0.259206i
\(638\) 29.3328 1.16130
\(639\) −2.08503 0.314268i −0.0824826 0.0124322i
\(640\) 4.21977 2.87699i 0.166801 0.113723i
\(641\) −24.7529 7.63525i −0.977680 0.301574i −0.235574 0.971856i \(-0.575697\pi\)
−0.742106 + 0.670282i \(0.766173\pi\)
\(642\) −1.91150 25.5071i −0.0754408 1.00669i
\(643\) −28.6633 + 13.8035i −1.13037 + 0.544358i −0.903081 0.429469i \(-0.858701\pi\)
−0.227289 + 0.973827i \(0.572986\pi\)
\(644\) 12.8808 + 8.87937i 0.507576 + 0.349896i
\(645\) 27.5246 + 13.2551i 1.08378 + 0.521921i
\(646\) −13.6145 + 34.6892i −0.535656 + 1.36483i
\(647\) 0.590632 7.88144i 0.0232201 0.309851i −0.973486 0.228748i \(-0.926537\pi\)
0.996706 0.0811029i \(-0.0258442\pi\)
\(648\) 12.1714 + 31.0123i 0.478139 + 1.21828i
\(649\) 30.8485 9.51550i 1.21091 0.373516i
\(650\) 1.18556 1.48664i 0.0465014 0.0583109i
\(651\) 5.48962 3.70156i 0.215155 0.145075i
\(652\) 8.26221 + 10.3605i 0.323573 + 0.405748i
\(653\) −40.8668 27.8625i −1.59924 1.09034i −0.941455 0.337139i \(-0.890541\pi\)
−0.657786 0.753205i \(-0.728507\pi\)
\(654\) −14.6942 13.6342i −0.574587 0.533139i
\(655\) 18.4549 31.9648i 0.721093 1.24897i
\(656\) 0.0120965 + 0.0209517i 0.000472288 + 0.000818027i
\(657\) 1.70274 7.46019i 0.0664302 0.291050i
\(658\) −2.01634 9.04836i −0.0786050 0.352742i
\(659\) −10.0150 43.8786i −0.390130 1.70927i −0.664196 0.747558i \(-0.731226\pi\)
0.274067 0.961711i \(-0.411631\pi\)
\(660\) 7.47092 6.93200i 0.290805 0.269828i
\(661\) −5.41525 + 0.816218i −0.210629 + 0.0317472i −0.253509 0.967333i \(-0.581585\pi\)
0.0428801 + 0.999080i \(0.486347\pi\)
\(662\) −10.7431 + 1.61926i −0.417543 + 0.0629344i
\(663\) −10.9177 + 10.1302i −0.424009 + 0.393423i
\(664\) 9.54957 + 41.8394i 0.370595 + 1.62368i
\(665\) −18.4820 9.01781i −0.716700 0.349696i
\(666\) −0.416165 + 1.82334i −0.0161260 + 0.0706528i
\(667\) 26.4344 + 45.7857i 1.02354 + 1.77283i
\(668\) −2.71226 + 4.69776i −0.104940 + 0.181762i
\(669\) 26.8273 + 24.8921i 1.03720 + 0.962385i
\(670\) 17.7506 + 12.1022i 0.685767 + 0.467548i
\(671\) 21.0129 + 26.3493i 0.811193 + 1.01720i
\(672\) 6.69059 + 17.3085i 0.258095 + 0.667690i
\(673\) 19.1172 23.9722i 0.736914 0.924060i −0.262248 0.965001i \(-0.584464\pi\)
0.999162 + 0.0409401i \(0.0130353\pi\)
\(674\) −20.3227 + 6.26872i −0.782801 + 0.241462i
\(675\) 2.54026 + 6.47248i 0.0977747 + 0.249126i
\(676\) −0.0495872 + 0.661695i −0.00190720 + 0.0254498i
\(677\) −4.96082 + 12.6400i −0.190660 + 0.485793i −0.993955 0.109788i \(-0.964983\pi\)
0.803295 + 0.595581i \(0.203078\pi\)
\(678\) 12.7563 + 6.14313i 0.489904 + 0.235925i
\(679\) 6.71877 + 11.7767i 0.257843 + 0.451947i
\(680\) −38.6028 + 18.5901i −1.48035 + 0.712899i
\(681\) −2.38975 31.8890i −0.0915753 1.22199i
\(682\) 6.03052 + 1.86017i 0.230921 + 0.0712295i
\(683\) 1.33602 0.910880i 0.0511212 0.0348539i −0.537490 0.843270i \(-0.680627\pi\)
0.588611 + 0.808416i \(0.299675\pi\)
\(684\) 2.34949 + 0.354128i 0.0898348 + 0.0135404i
\(685\) −15.7573 −0.602055
\(686\) −21.1195 3.51722i −0.806344 0.134288i
\(687\) −33.7273 −1.28678
\(688\) −18.7803 2.83068i −0.715993 0.107919i
\(689\) 1.69662 1.15673i 0.0646360 0.0440680i
\(690\) −35.3531 10.9050i −1.34587 0.415146i
\(691\) 3.05678 + 40.7899i 0.116285 + 1.55172i 0.684606 + 0.728914i \(0.259974\pi\)
−0.568320 + 0.822807i \(0.692407\pi\)
\(692\) 4.87746 2.34886i 0.185413 0.0892903i
\(693\) −4.73168 8.29370i −0.179742 0.315052i
\(694\) −1.11902 0.538890i −0.0424773 0.0204560i
\(695\) 2.85856 7.28350i 0.108432 0.276279i
\(696\) −2.67651 + 35.7155i −0.101453 + 1.35379i
\(697\) −0.0300740 0.0766272i −0.00113913 0.00290246i
\(698\) −8.95274 + 2.76156i −0.338866 + 0.104526i
\(699\) 21.9583 27.5348i 0.830538 1.04146i
\(700\) 1.04113 + 2.69340i 0.0393511 + 0.101801i
\(701\) −17.5198 21.9691i −0.661713 0.829762i 0.331816 0.943344i \(-0.392339\pi\)
−0.993529 + 0.113583i \(0.963767\pi\)
\(702\) 4.03780 + 2.75292i 0.152397 + 0.103902i
\(703\) −5.96353 5.53335i −0.224919 0.208694i
\(704\) −18.3923 + 31.8563i −0.693185 + 1.20063i
\(705\) −5.44226 9.42628i −0.204967 0.355014i
\(706\) 2.31422 10.1393i 0.0870969 0.381596i
\(707\) 3.74553 + 1.82754i 0.140865 + 0.0687316i
\(708\) 2.18511 + 9.57360i 0.0821216 + 0.359798i
\(709\) 11.1494 10.3451i 0.418725 0.388520i −0.442479 0.896779i \(-0.645901\pi\)
0.861205 + 0.508258i \(0.169711\pi\)
\(710\) −5.23220 + 0.788627i −0.196361 + 0.0295966i
\(711\) −4.56700 + 0.688365i −0.171276 + 0.0258157i
\(712\) −16.7619 + 15.5527i −0.628177 + 0.582863i
\(713\) 2.53109 + 11.0894i 0.0947901 + 0.415303i
\(714\) 9.90813 + 44.4629i 0.370803 + 1.66398i
\(715\) 1.74322 7.63756i 0.0651929 0.285629i
\(716\) −3.54473 6.13966i −0.132473 0.229450i
\(717\) 1.99133 3.44909i 0.0743677 0.128809i
\(718\) −7.59542 7.04752i −0.283459 0.263011i
\(719\) 20.7908 + 14.1749i 0.775367 + 0.528636i 0.885142 0.465320i \(-0.154061\pi\)
−0.109776 + 0.993956i \(0.535013\pi\)
\(720\) −2.15160 2.69802i −0.0801854 0.100549i
\(721\) −15.4579 + 10.4230i −0.575684 + 0.388174i
\(722\) −0.716152 + 0.898026i −0.0266524 + 0.0334211i
\(723\) −50.6754 + 15.6313i −1.88464 + 0.581335i
\(724\) 0.224768 + 0.572701i 0.00835345 + 0.0212842i
\(725\) −0.729231 + 9.73091i −0.0270830 + 0.361397i
\(726\) 6.03771 15.3838i 0.224080 0.570947i
\(727\) −0.192728 0.0928130i −0.00714789 0.00344224i 0.430306 0.902683i \(-0.358406\pi\)
−0.437454 + 0.899241i \(0.644120\pi\)
\(728\) 6.70750 + 4.62380i 0.248597 + 0.171369i
\(729\) −14.1757 + 6.82665i −0.525025 + 0.252839i
\(730\) −1.43498 19.1484i −0.0531108 0.708715i
\(731\) 61.7515 + 19.0478i 2.28396 + 0.704509i
\(732\) −8.47022 + 5.77490i −0.313068 + 0.213446i
\(733\) 5.30822 + 0.800086i 0.196064 + 0.0295518i 0.246340 0.969184i \(-0.420772\pi\)
−0.0502762 + 0.998735i \(0.516010\pi\)
\(734\) 21.2306 0.783635
\(735\) −24.8949 + 3.49088i −0.918263 + 0.128763i
\(736\) −31.8797 −1.17510
\(737\) −42.9062 6.46707i −1.58047 0.238218i
\(738\) 0.00873420 0.00595488i 0.000321510 0.000219202i
\(739\) 20.7131 + 6.38915i 0.761944 + 0.235029i 0.651289 0.758830i \(-0.274229\pi\)
0.110656 + 0.993859i \(0.464705\pi\)
\(740\) −0.174134 2.32365i −0.00640128 0.0854192i
\(741\) 7.49560 3.60969i 0.275358 0.132605i
\(742\) −0.437144 6.26540i −0.0160480 0.230010i
\(743\) 22.0807 + 10.6335i 0.810061 + 0.390105i 0.792599 0.609743i \(-0.208727\pi\)
0.0174617 + 0.999848i \(0.494441\pi\)
\(744\) −2.81520 + 7.17301i −0.103210 + 0.262975i
\(745\) 1.86754 24.9206i 0.0684214 0.913020i
\(746\) −2.46734 6.28669i −0.0903358 0.230172i
\(747\) 11.2384 3.46657i 0.411190 0.126835i
\(748\) 13.4413 16.8549i 0.491463 0.616275i
\(749\) 29.5475 4.29831i 1.07964 0.157057i
\(750\) −17.2000 21.5682i −0.628057 0.787559i
\(751\) −25.5671 17.4313i −0.932956 0.636078i −0.00152572 0.999999i \(-0.500486\pi\)
−0.931430 + 0.363920i \(0.881438\pi\)
\(752\) 4.96037 + 4.60255i 0.180886 + 0.167838i
\(753\) −1.86339 + 3.22749i −0.0679057 + 0.117616i
\(754\) 3.42925 + 5.93963i 0.124886 + 0.216309i
\(755\) 1.24209 5.44196i 0.0452043 0.198053i
\(756\) −6.70292 + 3.18560i −0.243783 + 0.115859i
\(757\) 2.53803 + 11.1198i 0.0922461 + 0.404157i 0.999878 0.0156100i \(-0.00496902\pi\)
−0.907632 + 0.419767i \(0.862112\pi\)
\(758\) −1.92359 + 1.78483i −0.0698681 + 0.0648281i
\(759\) 73.8883 11.1369i 2.68198 0.404243i
\(760\) 23.6663 3.56713i 0.858469 0.129393i
\(761\) 38.4171 35.6459i 1.39262 1.29216i 0.483674 0.875248i \(-0.339302\pi\)
0.908946 0.416914i \(-0.136888\pi\)
\(762\) 9.68453 + 42.4307i 0.350834 + 1.53710i
\(763\) 14.6830 18.2189i 0.531560 0.659569i
\(764\) 0.300128 1.31495i 0.0108583 0.0475731i
\(765\) 5.87090 + 10.1687i 0.212263 + 0.367650i
\(766\) 0.109925 0.190395i 0.00397174 0.00687926i
\(767\) 5.53325 + 5.13411i 0.199794 + 0.185382i
\(768\) −22.6436 15.4381i −0.817081 0.557076i
\(769\) −14.7060 18.4408i −0.530313 0.664991i 0.442450 0.896793i \(-0.354109\pi\)
−0.972763 + 0.231802i \(0.925538\pi\)
\(770\) −17.4807 16.3878i −0.629962 0.590576i
\(771\) −16.7298 + 20.9785i −0.602510 + 0.755523i
\(772\) 0.118612 0.0365868i 0.00426892 0.00131679i
\(773\) −0.278648 0.709983i −0.0100223