Properties

Label 165.2.r.a.29.1
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 165 = 3 \cdot 5 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 165.r (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.31753163335\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(20\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.1
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.55596 + 2.14159i) q^{2} +(-0.928513 - 1.46214i) q^{3} +(-1.54738 - 4.76233i) q^{4} +(1.59907 + 1.56301i) q^{5} +(4.57604 + 0.286538i) q^{6} +(0.391826 + 1.20592i) q^{7} +(7.57144 + 2.46011i) q^{8} +(-1.27573 + 2.71524i) q^{9} +O(q^{10})\) \(q+(-1.55596 + 2.14159i) q^{2} +(-0.928513 - 1.46214i) q^{3} +(-1.54738 - 4.76233i) q^{4} +(1.59907 + 1.56301i) q^{5} +(4.57604 + 0.286538i) q^{6} +(0.391826 + 1.20592i) q^{7} +(7.57144 + 2.46011i) q^{8} +(-1.27573 + 2.71524i) q^{9} +(-5.83540 + 0.992578i) q^{10} +(-2.72440 + 1.89146i) q^{11} +(-5.52646 + 6.68438i) q^{12} +(2.33830 + 1.69888i) q^{13} +(-3.19224 - 1.03722i) q^{14} +(0.800584 - 3.78934i) q^{15} +(-8.94722 + 6.50054i) q^{16} +(2.46931 + 3.39871i) q^{17} +(-3.82995 - 6.95688i) q^{18} +(2.26276 + 0.735215i) q^{19} +(4.96920 - 10.0338i) q^{20} +(1.39941 - 1.69261i) q^{21} +(0.188321 - 8.77759i) q^{22} -5.33159 q^{23} +(-3.43315 - 13.3548i) q^{24} +(0.114029 + 4.99870i) q^{25} +(-7.27659 + 2.36431i) q^{26} +(5.15460 - 0.655837i) q^{27} +(5.13667 - 3.73201i) q^{28} +(0.920428 + 2.83279i) q^{29} +(6.86953 + 7.61057i) q^{30} +(3.30827 + 2.40360i) q^{31} -13.3537i q^{32} +(5.29523 + 2.22722i) q^{33} -11.1208 q^{34} +(-1.25830 + 2.54077i) q^{35} +(14.9049 + 1.87395i) q^{36} +(-4.41557 + 1.43471i) q^{37} +(-5.09529 + 3.70194i) q^{38} +(0.312857 - 4.99636i) q^{39} +(8.26208 + 15.7681i) q^{40} +(2.88399 - 8.87601i) q^{41} +(1.44747 + 5.63059i) q^{42} +0.388853 q^{43} +(13.2234 + 10.0477i) q^{44} +(-6.28391 + 2.34788i) q^{45} +(8.29573 - 11.4181i) q^{46} +(1.53724 - 4.73115i) q^{47} +(17.8123 + 7.04629i) q^{48} +(4.36241 - 3.16948i) q^{49} +(-10.8826 - 7.53356i) q^{50} +(2.67662 - 6.76623i) q^{51} +(4.47238 - 13.7646i) q^{52} +(3.20342 + 2.32742i) q^{53} +(-6.61580 + 12.0595i) q^{54} +(-7.31287 - 1.23369i) q^{55} +10.0945i q^{56} +(-1.02601 - 3.99114i) q^{57} +(-7.49882 - 2.43651i) q^{58} +(-0.853529 + 0.277328i) q^{59} +(-19.2849 + 2.05088i) q^{60} +(-0.883280 - 1.21573i) q^{61} +(-10.2951 + 3.34507i) q^{62} +(-3.77421 - 0.474520i) q^{63} +(10.7037 + 7.77667i) q^{64} +(1.08375 + 6.37139i) q^{65} +(-13.0090 + 7.87475i) q^{66} -11.9685i q^{67} +(12.3649 - 17.0188i) q^{68} +(4.95045 + 7.79555i) q^{69} +(-3.48342 - 6.64808i) q^{70} +(-6.06966 - 8.35417i) q^{71} +(-16.3389 + 17.4198i) q^{72} +(0.481100 + 1.48067i) q^{73} +(3.79788 - 11.6887i) q^{74} +(7.20294 - 4.80808i) q^{75} -11.9137i q^{76} +(-3.34843 - 2.54428i) q^{77} +(10.2134 + 8.44414i) q^{78} +(-6.69599 + 9.21624i) q^{79} +(-24.4676 - 3.58976i) q^{80} +(-5.74504 - 6.92781i) q^{81} +(14.5214 + 19.9870i) q^{82} +(1.69133 + 2.32792i) q^{83} +(-10.2262 - 4.04533i) q^{84} +(-1.36362 + 9.29431i) q^{85} +(-0.605039 + 0.832764i) q^{86} +(3.28731 - 3.97608i) q^{87} +(-25.2809 + 7.61875i) q^{88} -7.36454i q^{89} +(4.74929 - 17.1108i) q^{90} +(-1.13249 + 3.48546i) q^{91} +(8.24998 + 25.3908i) q^{92} +(0.442636 - 7.06895i) q^{93} +(7.74030 + 10.6536i) q^{94} +(2.46916 + 4.71236i) q^{95} +(-19.5250 + 12.3991i) q^{96} +(-5.61954 + 7.73464i) q^{97} +14.2741i q^{98} +(-1.66017 - 9.81039i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} + O(q^{10}) \) \( 80q + 4q^{4} - 10q^{6} - 10q^{9} - 2q^{15} - 60q^{16} - 20q^{19} - 30q^{24} + 6q^{25} + 10q^{30} - 20q^{31} - 56q^{34} + 2q^{36} - 50q^{39} + 60q^{40} - 92q^{45} - 40q^{46} + 72q^{49} + 30q^{51} + 4q^{55} + 54q^{60} + 96q^{64} - 42q^{66} + 30q^{69} - 86q^{70} + 2q^{75} - 66q^{81} + 140q^{84} - 30q^{85} + 120q^{90} + 48q^{91} + 60q^{94} - 70q^{96} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/165\mathbb{Z}\right)^\times\).

\(n\) \(46\) \(56\) \(67\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.55596 + 2.14159i −1.10023 + 1.51433i −0.265146 + 0.964208i \(0.585420\pi\)
−0.835082 + 0.550125i \(0.814580\pi\)
\(3\) −0.928513 1.46214i −0.536077 0.844169i
\(4\) −1.54738 4.76233i −0.773688 2.38117i
\(5\) 1.59907 + 1.56301i 0.715124 + 0.698997i
\(6\) 4.57604 + 0.286538i 1.86816 + 0.116979i
\(7\) 0.391826 + 1.20592i 0.148096 + 0.455793i 0.997396 0.0721173i \(-0.0229756\pi\)
−0.849300 + 0.527911i \(0.822976\pi\)
\(8\) 7.57144 + 2.46011i 2.67691 + 0.869780i
\(9\) −1.27573 + 2.71524i −0.425243 + 0.905079i
\(10\) −5.83540 + 0.992578i −1.84531 + 0.313881i
\(11\) −2.72440 + 1.89146i −0.821439 + 0.570297i
\(12\) −5.52646 + 6.68438i −1.59535 + 1.92961i
\(13\) 2.33830 + 1.69888i 0.648528 + 0.471183i 0.862770 0.505597i \(-0.168728\pi\)
−0.214241 + 0.976781i \(0.568728\pi\)
\(14\) −3.19224 1.03722i −0.853163 0.277209i
\(15\) 0.800584 3.78934i 0.206710 0.978402i
\(16\) −8.94722 + 6.50054i −2.23681 + 1.62513i
\(17\) 2.46931 + 3.39871i 0.598896 + 0.824309i 0.995607 0.0936345i \(-0.0298485\pi\)
−0.396711 + 0.917944i \(0.629849\pi\)
\(18\) −3.82995 6.95688i −0.902729 1.63975i
\(19\) 2.26276 + 0.735215i 0.519113 + 0.168670i 0.556843 0.830618i \(-0.312013\pi\)
−0.0377299 + 0.999288i \(0.512013\pi\)
\(20\) 4.96920 10.0338i 1.11115 2.24364i
\(21\) 1.39941 1.69261i 0.305376 0.369359i
\(22\) 0.188321 8.77759i 0.0401502 1.87139i
\(23\) −5.33159 −1.11171 −0.555857 0.831278i \(-0.687610\pi\)
−0.555857 + 0.831278i \(0.687610\pi\)
\(24\) −3.43315 13.3548i −0.700788 2.72603i
\(25\) 0.114029 + 4.99870i 0.0228058 + 0.999740i
\(26\) −7.27659 + 2.36431i −1.42706 + 0.463679i
\(27\) 5.15460 0.655837i 0.992003 0.126216i
\(28\) 5.13667 3.73201i 0.970740 0.705284i
\(29\) 0.920428 + 2.83279i 0.170919 + 0.526035i 0.999424 0.0339473i \(-0.0108078\pi\)
−0.828504 + 0.559982i \(0.810808\pi\)
\(30\) 6.86953 + 7.61057i 1.25420 + 1.38949i
\(31\) 3.30827 + 2.40360i 0.594184 + 0.431700i 0.843810 0.536643i \(-0.180308\pi\)
−0.249626 + 0.968342i \(0.580308\pi\)
\(32\) 13.3537i 2.36062i
\(33\) 5.29523 + 2.22722i 0.921781 + 0.387710i
\(34\) −11.1208 −1.90720
\(35\) −1.25830 + 2.54077i −0.212691 + 0.429468i
\(36\) 14.9049 + 1.87395i 2.48415 + 0.312324i
\(37\) −4.41557 + 1.43471i −0.725915 + 0.235864i −0.648586 0.761142i \(-0.724639\pi\)
−0.0773292 + 0.997006i \(0.524639\pi\)
\(38\) −5.09529 + 3.70194i −0.826565 + 0.600534i
\(39\) 0.312857 4.99636i 0.0500972 0.800058i
\(40\) 8.26208 + 15.7681i 1.30635 + 2.49315i
\(41\) 2.88399 8.87601i 0.450404 1.38620i −0.426043 0.904703i \(-0.640093\pi\)
0.876447 0.481498i \(-0.159907\pi\)
\(42\) 1.44747 + 5.63059i 0.223349 + 0.868819i
\(43\) 0.388853 0.0592995 0.0296498 0.999560i \(-0.490561\pi\)
0.0296498 + 0.999560i \(0.490561\pi\)
\(44\) 13.2234 + 10.0477i 1.99351 + 1.51475i
\(45\) −6.28391 + 2.34788i −0.936749 + 0.350001i
\(46\) 8.29573 11.4181i 1.22314 1.68351i
\(47\) 1.53724 4.73115i 0.224230 0.690109i −0.774139 0.633016i \(-0.781817\pi\)
0.998369 0.0570931i \(-0.0181832\pi\)
\(48\) 17.8123 + 7.04629i 2.57099 + 1.01704i
\(49\) 4.36241 3.16948i 0.623202 0.452783i
\(50\) −10.8826 7.53356i −1.53903 1.06541i
\(51\) 2.67662 6.76623i 0.374802 0.947462i
\(52\) 4.47238 13.7646i 0.620208 1.90880i
\(53\) 3.20342 + 2.32742i 0.440024 + 0.319696i 0.785644 0.618678i \(-0.212332\pi\)
−0.345621 + 0.938374i \(0.612332\pi\)
\(54\) −6.61580 + 12.0595i −0.900296 + 1.64109i
\(55\) −7.31287 1.23369i −0.986067 0.166350i
\(56\) 10.0945i 1.34893i
\(57\) −1.02601 3.99114i −0.135899 0.528639i
\(58\) −7.49882 2.43651i −0.984643 0.319930i
\(59\) −0.853529 + 0.277328i −0.111120 + 0.0361051i −0.364049 0.931380i \(-0.618606\pi\)
0.252929 + 0.967485i \(0.418606\pi\)
\(60\) −19.2849 + 2.05088i −2.48967 + 0.264767i
\(61\) −0.883280 1.21573i −0.113092 0.155658i 0.748718 0.662888i \(-0.230670\pi\)
−0.861811 + 0.507230i \(0.830670\pi\)
\(62\) −10.2951 + 3.34507i −1.30747 + 0.424824i
\(63\) −3.77421 0.474520i −0.475506 0.0597839i
\(64\) 10.7037 + 7.77667i 1.33796 + 0.972084i
\(65\) 1.08375 + 6.37139i 0.134423 + 0.790274i
\(66\) −13.0090 + 7.87475i −1.60129 + 0.969315i
\(67\) 11.9685i 1.46219i −0.682277 0.731094i \(-0.739010\pi\)
0.682277 0.731094i \(-0.260990\pi\)
\(68\) 12.3649 17.0188i 1.49946 2.06383i
\(69\) 4.95045 + 7.79555i 0.595964 + 0.938474i
\(70\) −3.48342 6.64808i −0.416349 0.794598i
\(71\) −6.06966 8.35417i −0.720336 0.991458i −0.999513 0.0312181i \(-0.990061\pi\)
0.279176 0.960240i \(-0.409939\pi\)
\(72\) −16.3389 + 17.4198i −1.92556 + 2.05295i
\(73\) 0.481100 + 1.48067i 0.0563085 + 0.173300i 0.975255 0.221082i \(-0.0709588\pi\)
−0.918947 + 0.394382i \(0.870959\pi\)
\(74\) 3.79788 11.6887i 0.441495 1.35878i
\(75\) 7.20294 4.80808i 0.831724 0.555190i
\(76\) 11.9137i 1.36659i
\(77\) −3.34843 2.54428i −0.381589 0.289947i
\(78\) 10.2134 + 8.44414i 1.15644 + 0.956110i
\(79\) −6.69599 + 9.21624i −0.753358 + 1.03691i 0.244380 + 0.969680i \(0.421416\pi\)
−0.997738 + 0.0672281i \(0.978584\pi\)
\(80\) −24.4676 3.58976i −2.73556 0.401348i
\(81\) −5.74504 6.92781i −0.638338 0.769757i
\(82\) 14.5214 + 19.9870i 1.60362 + 2.20720i
\(83\) 1.69133 + 2.32792i 0.185648 + 0.255522i 0.891689 0.452648i \(-0.149521\pi\)
−0.706041 + 0.708171i \(0.749521\pi\)
\(84\) −10.2262 4.04533i −1.11577 0.441382i
\(85\) −1.36362 + 9.29431i −0.147905 + 1.00811i
\(86\) −0.605039 + 0.832764i −0.0652430 + 0.0897993i
\(87\) 3.28731 3.97608i 0.352437 0.426280i
\(88\) −25.2809 + 7.61875i −2.69495 + 0.812161i
\(89\) 7.36454i 0.780640i −0.920679 0.390320i \(-0.872364\pi\)
0.920679 0.390320i \(-0.127636\pi\)
\(90\) 4.74929 17.1108i 0.500619 1.80363i
\(91\) −1.13249 + 3.48546i −0.118718 + 0.365375i
\(92\) 8.24998 + 25.3908i 0.860120 + 2.64718i
\(93\) 0.442636 7.06895i 0.0458992 0.733016i
\(94\) 7.74030 + 10.6536i 0.798351 + 1.09884i
\(95\) 2.46916 + 4.71236i 0.253330 + 0.483478i
\(96\) −19.5250 + 12.3991i −1.99276 + 1.26547i
\(97\) −5.61954 + 7.73464i −0.570578 + 0.785333i −0.992623 0.121242i \(-0.961312\pi\)
0.422045 + 0.906575i \(0.361312\pi\)
\(98\) 14.2741i 1.44190i
\(99\) −1.66017 9.81039i −0.166853 0.985982i
\(100\) 23.6290 8.27791i 2.36290 0.827791i
\(101\) 2.16515 + 1.57308i 0.215441 + 0.156527i 0.690272 0.723550i \(-0.257491\pi\)
−0.474831 + 0.880077i \(0.657491\pi\)
\(102\) 10.3258 + 16.2602i 1.02241 + 1.61000i
\(103\) 15.6403 5.08183i 1.54108 0.500727i 0.589406 0.807837i \(-0.299362\pi\)
0.951674 + 0.307110i \(0.0993618\pi\)
\(104\) 13.5249 + 18.6154i 1.32623 + 1.82539i
\(105\) 4.88331 0.519322i 0.476562 0.0506807i
\(106\) −9.96877 + 3.23905i −0.968252 + 0.314604i
\(107\) −11.0532 3.59139i −1.06855 0.347193i −0.278627 0.960399i \(-0.589879\pi\)
−0.789923 + 0.613207i \(0.789879\pi\)
\(108\) −11.0994 23.5331i −1.06804 2.26447i
\(109\) 7.33400i 0.702469i 0.936287 + 0.351235i \(0.114238\pi\)
−0.936287 + 0.351235i \(0.885762\pi\)
\(110\) 14.0206 13.7416i 1.33681 1.31021i
\(111\) 6.19766 + 5.12405i 0.588256 + 0.486354i
\(112\) −11.3449 8.24252i −1.07199 0.778845i
\(113\) −1.04031 + 3.20175i −0.0978644 + 0.301196i −0.987990 0.154520i \(-0.950617\pi\)
0.890125 + 0.455716i \(0.150617\pi\)
\(114\) 10.1438 + 4.01274i 0.950055 + 0.375827i
\(115\) −8.52557 8.33330i −0.795013 0.777085i
\(116\) 12.0664 8.76677i 1.12034 0.813974i
\(117\) −7.59589 + 4.18174i −0.702240 + 0.386602i
\(118\) 0.734130 2.25942i 0.0675822 0.207997i
\(119\) −3.13102 + 4.30948i −0.287020 + 0.395050i
\(120\) 15.3838 26.7212i 1.40434 2.43930i
\(121\) 3.84476 10.3062i 0.349523 0.936928i
\(122\) 3.97794 0.360146
\(123\) −15.6558 + 4.02468i −1.41164 + 0.362893i
\(124\) 6.32761 19.4744i 0.568236 1.74885i
\(125\) −7.63065 + 8.17148i −0.682506 + 0.730880i
\(126\) 6.88874 7.34449i 0.613698 0.654299i
\(127\) 1.91853 1.39390i 0.170242 0.123688i −0.499402 0.866371i \(-0.666447\pi\)
0.669644 + 0.742682i \(0.266447\pi\)
\(128\) −7.90871 + 2.56970i −0.699038 + 0.227131i
\(129\) −0.361055 0.568559i −0.0317891 0.0500588i
\(130\) −15.3312 7.59267i −1.34463 0.665921i
\(131\) 7.64133 0.667626 0.333813 0.942639i \(-0.391665\pi\)
0.333813 + 0.942639i \(0.391665\pi\)
\(132\) 2.41307 28.6640i 0.210031 2.49488i
\(133\) 3.01677i 0.261587i
\(134\) 25.6317 + 18.6225i 2.21424 + 1.60874i
\(135\) 9.26762 + 7.00794i 0.797630 + 0.603147i
\(136\) 10.3350 + 31.8079i 0.886221 + 2.72751i
\(137\) 9.43506 6.85497i 0.806092 0.585660i −0.106603 0.994302i \(-0.533997\pi\)
0.912695 + 0.408642i \(0.133997\pi\)
\(138\) −24.3976 1.52770i −2.07686 0.130047i
\(139\) −0.120909 + 0.0392857i −0.0102554 + 0.00333217i −0.314140 0.949377i \(-0.601716\pi\)
0.303885 + 0.952709i \(0.401716\pi\)
\(140\) 14.0470 + 2.06091i 1.18719 + 0.174179i
\(141\) −8.34497 + 2.14526i −0.702773 + 0.180664i
\(142\) 27.3354 2.29393
\(143\) −9.58384 0.205619i −0.801441 0.0171947i
\(144\) −6.23629 32.5868i −0.519691 2.71556i
\(145\) −2.95583 + 5.96845i −0.245469 + 0.495653i
\(146\) −3.91957 1.27354i −0.324386 0.105399i
\(147\) −8.68479 3.43557i −0.716309 0.283361i
\(148\) 13.6651 + 18.8084i 1.12326 + 1.54604i
\(149\) −12.8269 + 9.31929i −1.05082 + 0.763466i −0.972368 0.233452i \(-0.924998\pi\)
−0.0784521 + 0.996918i \(0.524998\pi\)
\(150\) −0.910515 + 22.9069i −0.0743432 + 1.87034i
\(151\) 19.0890 + 6.20240i 1.55344 + 0.504744i 0.955047 0.296456i \(-0.0958048\pi\)
0.598397 + 0.801200i \(0.295805\pi\)
\(152\) 15.3236 + 11.1333i 1.24291 + 0.903028i
\(153\) −12.3785 + 2.36893i −1.00074 + 0.191517i
\(154\) 10.6588 3.21219i 0.858912 0.258845i
\(155\) 1.53331 + 9.01437i 0.123158 + 0.724052i
\(156\) −24.2785 + 6.24132i −1.94383 + 0.499706i
\(157\) −18.9737 6.16494i −1.51427 0.492015i −0.570127 0.821557i \(-0.693106\pi\)
−0.944141 + 0.329541i \(0.893106\pi\)
\(158\) −9.31874 28.6801i −0.741359 2.28167i
\(159\) 0.428607 6.84490i 0.0339907 0.542836i
\(160\) 20.8719 21.3534i 1.65007 1.68814i
\(161\) −2.08905 6.42945i −0.164641 0.506712i
\(162\) 23.7756 1.52415i 1.86798 0.119748i
\(163\) −0.415086 + 0.571317i −0.0325121 + 0.0447490i −0.824964 0.565186i \(-0.808804\pi\)
0.792452 + 0.609935i \(0.208804\pi\)
\(164\) −46.7332 −3.64925
\(165\) 4.98626 + 11.8380i 0.388180 + 0.921584i
\(166\) −7.61709 −0.591201
\(167\) −1.88104 + 2.58903i −0.145559 + 0.200345i −0.875571 0.483090i \(-0.839515\pi\)
0.730012 + 0.683434i \(0.239515\pi\)
\(168\) 14.7595 9.37283i 1.13872 0.723130i
\(169\) −1.43574 4.41877i −0.110442 0.339905i
\(170\) −17.7829 17.3819i −1.36389 1.33313i
\(171\) −4.88295 + 5.20600i −0.373408 + 0.398113i
\(172\) −0.601702 1.85185i −0.0458793 0.141202i
\(173\) 16.0085 + 5.20147i 1.21710 + 0.395461i 0.846026 0.533141i \(-0.178989\pi\)
0.371077 + 0.928602i \(0.378989\pi\)
\(174\) 3.40022 + 13.2267i 0.257770 + 1.00271i
\(175\) −5.98333 + 2.09613i −0.452297 + 0.158452i
\(176\) 12.0803 34.6334i 0.910590 2.61059i
\(177\) 1.19801 + 0.990479i 0.0900477 + 0.0744489i
\(178\) 15.7718 + 11.4589i 1.18215 + 0.858881i
\(179\) 17.7281 + 5.76022i 1.32506 + 0.430539i 0.884231 0.467050i \(-0.154683\pi\)
0.440833 + 0.897589i \(0.354683\pi\)
\(180\) 20.9049 + 26.2930i 1.55816 + 1.95977i
\(181\) 8.94907 6.50188i 0.665179 0.483281i −0.203229 0.979131i \(-0.565144\pi\)
0.868408 + 0.495850i \(0.165144\pi\)
\(182\) −5.70231 7.84856i −0.422684 0.581774i
\(183\) −0.957436 + 2.42030i −0.0707757 + 0.178914i
\(184\) −40.3678 13.1163i −2.97596 0.966947i
\(185\) −9.30324 4.60737i −0.683988 0.338740i
\(186\) 14.4501 + 11.9469i 1.05953 + 0.875991i
\(187\) −13.1559 4.58887i −0.962057 0.335571i
\(188\) −24.9100 −1.81675
\(189\) 2.81059 + 5.95904i 0.204440 + 0.433456i
\(190\) −13.9339 2.04431i −1.01087 0.148310i
\(191\) 14.5873 4.73971i 1.05550 0.342954i 0.270677 0.962670i \(-0.412752\pi\)
0.784826 + 0.619716i \(0.212752\pi\)
\(192\) 1.43212 22.8711i 0.103354 1.65058i
\(193\) 8.18539 5.94703i 0.589197 0.428077i −0.252831 0.967510i \(-0.581362\pi\)
0.842028 + 0.539434i \(0.181362\pi\)
\(194\) −7.82066 24.0695i −0.561491 1.72809i
\(195\) 8.30962 7.50052i 0.595064 0.537123i
\(196\) −21.8444 15.8709i −1.56032 1.13364i
\(197\) 15.8978i 1.13267i −0.824175 0.566335i \(-0.808361\pi\)
0.824175 0.566335i \(-0.191639\pi\)
\(198\) 23.5930 + 11.7092i 1.67668 + 0.832133i
\(199\) 0.982462 0.0696449 0.0348225 0.999394i \(-0.488913\pi\)
0.0348225 + 0.999394i \(0.488913\pi\)
\(200\) −11.4340 + 38.1279i −0.808505 + 2.69605i
\(201\) −17.4997 + 11.1129i −1.23433 + 0.783845i
\(202\) −6.73778 + 2.18924i −0.474068 + 0.154034i
\(203\) −3.05545 + 2.21992i −0.214451 + 0.155808i
\(204\) −36.3648 2.27705i −2.54605 0.159426i
\(205\) 18.4850 9.68564i 1.29105 0.676475i
\(206\) −13.4524 + 41.4021i −0.937271 + 2.88462i
\(207\) 6.80166 14.4765i 0.472748 1.00619i
\(208\) −31.9649 −2.21637
\(209\) −7.55530 + 2.27690i −0.522611 + 0.157496i
\(210\) −6.48604 + 11.2661i −0.447579 + 0.777434i
\(211\) −10.3716 + 14.2753i −0.714009 + 0.982749i 0.285693 + 0.958321i \(0.407776\pi\)
−0.999702 + 0.0244275i \(0.992224\pi\)
\(212\) 6.12706 18.8572i 0.420808 1.29511i
\(213\) −6.57924 + 16.6317i −0.450802 + 1.13958i
\(214\) 24.8895 18.0833i 1.70141 1.23615i
\(215\) 0.621802 + 0.607779i 0.0424065 + 0.0414502i
\(216\) 40.6412 + 7.71525i 2.76528 + 0.524956i
\(217\) −1.60227 + 4.93129i −0.108769 + 0.334758i
\(218\) −15.7064 11.4114i −1.06377 0.772876i
\(219\) 1.71825 2.07826i 0.116108 0.140436i
\(220\) 5.44053 + 36.7353i 0.366800 + 2.47669i
\(221\) 12.1423i 0.816777i
\(222\) −20.6169 + 5.30004i −1.38372 + 0.355716i
\(223\) 11.2133 + 3.64342i 0.750897 + 0.243981i 0.659367 0.751821i \(-0.270824\pi\)
0.0915300 + 0.995802i \(0.470824\pi\)
\(224\) 16.1034 5.23231i 1.07595 0.349599i
\(225\) −13.7181 6.06736i −0.914542 0.404491i
\(226\) −5.23817 7.20972i −0.348438 0.479583i
\(227\) 10.3875 3.37511i 0.689444 0.224014i 0.0567187 0.998390i \(-0.481936\pi\)
0.632725 + 0.774376i \(0.281936\pi\)
\(228\) −17.4195 + 11.0620i −1.15363 + 0.732599i
\(229\) −2.96535 2.15445i −0.195956 0.142370i 0.485481 0.874247i \(-0.338644\pi\)
−0.681437 + 0.731877i \(0.738644\pi\)
\(230\) 31.1120 5.29202i 2.05146 0.348945i
\(231\) −0.611037 + 7.25829i −0.0402033 + 0.477560i
\(232\) 23.7126i 1.55681i
\(233\) 4.69643 6.46408i 0.307673 0.423476i −0.626981 0.779035i \(-0.715709\pi\)
0.934654 + 0.355559i \(0.115709\pi\)
\(234\) 2.86329 22.7739i 0.187179 1.48878i
\(235\) 9.85296 5.16270i 0.642736 0.336778i
\(236\) 2.64146 + 3.63566i 0.171944 + 0.236661i
\(237\) 19.6928 + 1.23310i 1.27918 + 0.0800985i
\(238\) −4.35741 13.4107i −0.282449 0.869289i
\(239\) 5.21997 16.0654i 0.337652 1.03919i −0.627749 0.778416i \(-0.716024\pi\)
0.965401 0.260770i \(-0.0839764\pi\)
\(240\) 17.4697 + 39.1083i 1.12767 + 2.52443i
\(241\) 9.88741i 0.636904i −0.947939 0.318452i \(-0.896837\pi\)
0.947939 0.318452i \(-0.103163\pi\)
\(242\) 16.0894 + 24.2699i 1.03427 + 1.56013i
\(243\) −4.79511 + 14.8326i −0.307606 + 0.951514i
\(244\) −4.42295 + 6.08767i −0.283150 + 0.389723i
\(245\) 11.9297 + 1.75027i 0.762161 + 0.111820i
\(246\) 15.7406 39.7906i 1.00358 2.53696i
\(247\) 4.04198 + 5.56330i 0.257185 + 0.353984i
\(248\) 19.1353 + 26.3375i 1.21509 + 1.67243i
\(249\) 1.83333 4.63447i 0.116182 0.293698i
\(250\) −5.62700 29.0562i −0.355883 1.83768i
\(251\) −3.76816 + 5.18643i −0.237844 + 0.327365i −0.911208 0.411947i \(-0.864849\pi\)
0.673364 + 0.739312i \(0.264849\pi\)
\(252\) 3.58030 + 18.7083i 0.225538 + 1.17851i
\(253\) 14.5254 10.0845i 0.913205 0.634007i
\(254\) 6.27755i 0.393889i
\(255\) 14.8558 6.63609i 0.930303 0.415568i
\(256\) −1.37450 + 4.23029i −0.0859065 + 0.264393i
\(257\) 2.24349 + 6.90476i 0.139945 + 0.430707i 0.996326 0.0856371i \(-0.0272926\pi\)
−0.856381 + 0.516344i \(0.827293\pi\)
\(258\) 1.77941 + 0.111421i 0.110781 + 0.00693677i
\(259\) −3.46027 4.76265i −0.215011 0.295937i
\(260\) 28.6657 15.0201i 1.77777 0.931508i
\(261\) −8.86590 1.11468i −0.548786 0.0689971i
\(262\) −11.8896 + 16.3646i −0.734541 + 1.01101i
\(263\) 28.7137i 1.77056i −0.465058 0.885280i \(-0.653967\pi\)
0.465058 0.885280i \(-0.346033\pi\)
\(264\) 34.6133 + 29.8902i 2.13030 + 1.83961i
\(265\) 1.48471 + 8.72866i 0.0912051 + 0.536198i
\(266\) −6.46070 4.69397i −0.396131 0.287806i
\(267\) −10.7680 + 6.83807i −0.658992 + 0.418483i
\(268\) −56.9981 + 18.5198i −3.48171 + 1.13128i
\(269\) −3.09842 4.26461i −0.188914 0.260018i 0.704045 0.710155i \(-0.251375\pi\)
−0.892959 + 0.450137i \(0.851375\pi\)
\(270\) −29.4282 + 8.94341i −1.79094 + 0.544278i
\(271\) −27.1927 + 8.83545i −1.65184 + 0.536715i −0.979138 0.203199i \(-0.934866\pi\)
−0.672702 + 0.739914i \(0.734866\pi\)
\(272\) −44.1869 14.3572i −2.67923 0.870533i
\(273\) 6.14778 1.58042i 0.372080 0.0956516i
\(274\) 30.8721i 1.86505i
\(275\) −9.76550 13.4028i −0.588882 0.808219i
\(276\) 29.4648 35.6384i 1.77357 2.14518i
\(277\) 20.7361 + 15.0657i 1.24591 + 0.905209i 0.997978 0.0635672i \(-0.0202477\pi\)
0.247936 + 0.968776i \(0.420248\pi\)
\(278\) 0.103995 0.320064i 0.00623722 0.0191962i
\(279\) −10.7468 + 5.91641i −0.643395 + 0.354206i
\(280\) −15.7777 + 16.1417i −0.942897 + 0.964652i
\(281\) 14.5208 10.5500i 0.866238 0.629359i −0.0633366 0.997992i \(-0.520174\pi\)
0.929575 + 0.368633i \(0.120174\pi\)
\(282\) 8.39014 21.2094i 0.499625 1.26300i
\(283\) −3.89407 + 11.9847i −0.231478 + 0.712417i 0.766091 + 0.642732i \(0.222199\pi\)
−0.997569 + 0.0696846i \(0.977801\pi\)
\(284\) −30.3933 + 41.8328i −1.80351 + 2.48232i
\(285\) 4.59751 7.98575i 0.272333 0.473035i
\(286\) 15.3524 20.2047i 0.907806 1.19473i
\(287\) 11.8337 0.698524
\(288\) 36.2584 + 17.0357i 2.13655 + 1.00384i
\(289\) −0.200472 + 0.616990i −0.0117925 + 0.0362935i
\(290\) −8.18282 15.6168i −0.480512 0.917052i
\(291\) 16.5270 + 1.03487i 0.968828 + 0.0606650i
\(292\) 6.30702 4.58232i 0.369090 0.268160i
\(293\) −16.3386 + 5.30874i −0.954512 + 0.310140i −0.744547 0.667569i \(-0.767335\pi\)
−0.209964 + 0.977709i \(0.567335\pi\)
\(294\) 20.8708 13.2537i 1.21721 0.772970i
\(295\) −1.79831 0.890603i −0.104702 0.0518529i
\(296\) −36.9618 −2.14836
\(297\) −12.8027 + 11.5365i −0.742889 + 0.669415i
\(298\) 41.9704i 2.43128i
\(299\) −12.4669 9.05771i −0.720978 0.523821i
\(300\) −34.0434 26.8629i −1.96549 1.55093i
\(301\) 0.152363 + 0.468924i 0.00878204 + 0.0270283i
\(302\) −42.9847 + 31.2302i −2.47349 + 1.79710i
\(303\) 0.289690 4.62639i 0.0166423 0.265779i
\(304\) −25.0247 + 8.13102i −1.43527 + 0.466346i
\(305\) 0.487770 3.32461i 0.0279296 0.190366i
\(306\) 14.1871 30.1956i 0.811023 1.72617i
\(307\) −26.8430 −1.53201 −0.766006 0.642833i \(-0.777759\pi\)
−0.766006 + 0.642833i \(0.777759\pi\)
\(308\) −6.93542 + 19.8833i −0.395182 + 1.13296i
\(309\) −21.9525 18.1498i −1.24884 1.03250i
\(310\) −21.6909 10.7423i −1.23196 0.610119i
\(311\) −8.96545 2.91305i −0.508384 0.165184i 0.0435831 0.999050i \(-0.486123\pi\)
−0.551967 + 0.833866i \(0.686123\pi\)
\(312\) 14.6604 37.0600i 0.829981 2.09811i
\(313\) −15.5005 21.3347i −0.876143 1.20591i −0.977474 0.211054i \(-0.932310\pi\)
0.101331 0.994853i \(-0.467690\pi\)
\(314\) 42.7251 31.0416i 2.41112 1.75178i
\(315\) −5.29354 6.65790i −0.298257 0.375130i
\(316\) 54.2520 + 17.6275i 3.05191 + 0.991627i
\(317\) −3.06727 2.22850i −0.172275 0.125165i 0.498306 0.867001i \(-0.333955\pi\)
−0.670582 + 0.741836i \(0.733955\pi\)
\(318\) 13.9921 + 11.5683i 0.784637 + 0.648716i
\(319\) −7.86572 5.97670i −0.440396 0.334631i
\(320\) 4.96091 + 29.1653i 0.277323 + 1.63039i
\(321\) 5.01188 + 19.4960i 0.279736 + 1.08816i
\(322\) 17.0197 + 5.53005i 0.948472 + 0.308177i
\(323\) 3.08867 + 9.50594i 0.171858 + 0.528925i
\(324\) −24.1028 + 38.0797i −1.33905 + 2.11554i
\(325\) −8.22554 + 11.8822i −0.456271 + 0.659105i
\(326\) −0.577672 1.77789i −0.0319943 0.0984682i
\(327\) 10.7234 6.80971i 0.593003 0.376578i
\(328\) 43.6720 60.1093i 2.41138 3.31898i
\(329\) 6.30770 0.347755
\(330\) −33.1105 7.74081i −1.82267 0.426118i
\(331\) −9.94648 −0.546708 −0.273354 0.961913i \(-0.588133\pi\)
−0.273354 + 0.961913i \(0.588133\pi\)
\(332\) 8.46920 11.6568i 0.464808 0.639753i
\(333\) 1.73750 13.8196i 0.0952142 0.757310i
\(334\) −2.61782 8.05683i −0.143241 0.440850i
\(335\) 18.7069 19.1385i 1.02206 1.04565i
\(336\) −1.51790 + 24.2411i −0.0828084 + 1.32246i
\(337\) 6.62684 + 20.3953i 0.360987 + 1.11100i 0.952456 + 0.304676i \(0.0985482\pi\)
−0.591469 + 0.806328i \(0.701452\pi\)
\(338\) 11.6971 + 3.80063i 0.636241 + 0.206727i
\(339\) 5.64737 1.45178i 0.306723 0.0788500i
\(340\) 46.3727 7.88781i 2.51491 0.427776i
\(341\) −13.5594 0.290913i −0.734282 0.0157538i
\(342\) −3.55146 18.5576i −0.192041 1.00348i
\(343\) 12.7121 + 9.23590i 0.686390 + 0.498692i
\(344\) 2.94418 + 0.956621i 0.158739 + 0.0515776i
\(345\) −4.26839 + 20.2032i −0.229802 + 1.08770i
\(346\) −36.0480 + 26.1904i −1.93795 + 1.40800i
\(347\) 3.54558 + 4.88008i 0.190337 + 0.261976i 0.893511 0.449042i \(-0.148234\pi\)
−0.703174 + 0.711018i \(0.748234\pi\)
\(348\) −24.0221 9.50279i −1.28772 0.509403i
\(349\) −4.12701 1.34095i −0.220914 0.0717792i 0.196469 0.980510i \(-0.437053\pi\)
−0.417383 + 0.908731i \(0.637053\pi\)
\(350\) 4.82076 16.0753i 0.257680 0.859263i
\(351\) 13.1672 + 7.22348i 0.702813 + 0.385561i
\(352\) 25.2580 + 36.3808i 1.34625 + 1.93910i
\(353\) 21.6057 1.14995 0.574977 0.818170i \(-0.305011\pi\)
0.574977 + 0.818170i \(0.305011\pi\)
\(354\) −3.98525 + 1.02450i −0.211813 + 0.0544514i
\(355\) 3.35182 22.8458i 0.177896 1.21253i
\(356\) −35.0724 + 11.3957i −1.85883 + 0.603972i
\(357\) 9.20828 + 0.576594i 0.487354 + 0.0305166i
\(358\) −39.9203 + 29.0038i −2.10985 + 1.53290i
\(359\) 6.93292 + 21.3373i 0.365906 + 1.12614i 0.949412 + 0.314033i \(0.101680\pi\)
−0.583507 + 0.812108i \(0.698320\pi\)
\(360\) −53.3543 + 2.31772i −2.81202 + 0.122155i
\(361\) −10.7918 7.84069i −0.567989 0.412668i
\(362\) 29.2819i 1.53902i
\(363\) −18.6391 + 3.94786i −0.978297 + 0.207209i
\(364\) 18.3513 0.961870
\(365\) −1.54499 + 3.11966i −0.0808684 + 0.163290i
\(366\) −3.69357 5.81632i −0.193066 0.304024i
\(367\) 11.7700 3.82430i 0.614388 0.199627i 0.0147407 0.999891i \(-0.495308\pi\)
0.599647 + 0.800265i \(0.295308\pi\)
\(368\) 47.7029 34.6582i 2.48669 1.80668i
\(369\) 20.4213 + 19.1541i 1.06309 + 0.997123i
\(370\) 24.3425 12.7549i 1.26551 0.663094i
\(371\) −1.55149 + 4.77500i −0.0805494 + 0.247906i
\(372\) −34.3496 + 8.83034i −1.78094 + 0.457832i
\(373\) 10.9272 0.565788 0.282894 0.959151i \(-0.408706\pi\)
0.282894 + 0.959151i \(0.408706\pi\)
\(374\) 30.2975 21.0345i 1.56665 1.08767i
\(375\) 19.0330 + 3.56979i 0.982862 + 0.184343i
\(376\) 23.2783 32.0398i 1.20049 1.65233i
\(377\) −2.66031 + 8.18760i −0.137013 + 0.421683i
\(378\) −17.1350 3.25287i −0.881328 0.167310i
\(379\) −2.19362 + 1.59376i −0.112678 + 0.0818657i −0.642697 0.766120i \(-0.722185\pi\)
0.530019 + 0.847986i \(0.322185\pi\)
\(380\) 18.6211 19.0508i 0.955244 0.977283i
\(381\) −3.81946 1.51092i −0.195677 0.0774068i
\(382\) −12.5467 + 38.6149i −0.641947 + 1.97571i
\(383\) 1.41644 + 1.02911i 0.0723768 + 0.0525848i 0.623385 0.781915i \(-0.285757\pi\)
−0.551008 + 0.834500i \(0.685757\pi\)
\(384\) 11.1006 + 9.17767i 0.566475 + 0.468346i
\(385\) −1.37765 9.30209i −0.0702114 0.474078i
\(386\) 26.7831i 1.36322i
\(387\) −0.496071 + 1.05583i −0.0252167 + 0.0536708i
\(388\) 45.5305 + 14.7937i 2.31146 + 0.751039i
\(389\) −0.426827 + 0.138685i −0.0216410 + 0.00703159i −0.319817 0.947479i \(-0.603622\pi\)
0.298176 + 0.954511i \(0.403622\pi\)
\(390\) 3.13363 + 29.4663i 0.158678 + 1.49208i
\(391\) −13.1653 18.1205i −0.665800 0.916395i
\(392\) 40.8270 13.2655i 2.06208 0.670009i
\(393\) −7.09507 11.1727i −0.357899 0.563589i
\(394\) 34.0465 + 24.7363i 1.71524 + 1.24619i
\(395\) −25.1124 + 4.27151i −1.26354 + 0.214923i
\(396\) −44.1515 + 23.0866i −2.21870 + 1.16015i
\(397\) 26.5824i 1.33413i −0.744999 0.667066i \(-0.767550\pi\)
0.744999 0.667066i \(-0.232450\pi\)
\(398\) −1.52867 + 2.10403i −0.0766253 + 0.105466i
\(399\) 4.41096 2.80111i 0.220824 0.140231i
\(400\) −33.5145 43.9832i −1.67572 2.19916i
\(401\) 16.5772 + 22.8166i 0.827827 + 1.13941i 0.988323 + 0.152370i \(0.0486906\pi\)
−0.160496 + 0.987036i \(0.551309\pi\)
\(402\) 3.42943 54.7684i 0.171044 2.73160i
\(403\) 3.65232 + 11.2407i 0.181935 + 0.559939i
\(404\) 4.14121 12.7453i 0.206033 0.634104i
\(405\) 1.64150 20.0576i 0.0815670 0.996668i
\(406\) 9.99763i 0.496174i
\(407\) 9.31611 12.2606i 0.461782 0.607735i
\(408\) 36.9116 44.6454i 1.82739 2.21028i
\(409\) 22.5197 30.9958i 1.11353 1.53264i 0.297419 0.954747i \(-0.403874\pi\)
0.816111 0.577895i \(-0.196126\pi\)
\(410\) −8.01910 + 54.6577i −0.396035 + 2.69935i
\(411\) −18.7835 7.43048i −0.926523 0.366519i
\(412\) −48.4027 66.6206i −2.38463 3.28216i
\(413\) −0.668869 0.920619i −0.0329129 0.0453007i
\(414\) 20.4197 + 37.0912i 1.00358 + 1.82294i
\(415\) −0.933996 + 6.36605i −0.0458481 + 0.312497i
\(416\) 22.6862 31.2249i 1.11228 1.53093i
\(417\) 0.169707 + 0.140309i 0.00831058 + 0.00687096i
\(418\) 6.87954 19.7231i 0.336489 0.964689i
\(419\) 7.65399i 0.373922i −0.982367 0.186961i \(-0.940136\pi\)
0.982367 0.186961i \(-0.0598638\pi\)
\(420\) −10.0295 22.4524i −0.489390 1.09556i
\(421\) −4.95043 + 15.2359i −0.241269 + 0.742551i 0.754958 + 0.655773i \(0.227657\pi\)
−0.996228 + 0.0867779i \(0.972343\pi\)
\(422\) −14.4340 44.4234i −0.702637 2.16249i
\(423\) 10.8851 + 10.2096i 0.529251 + 0.496410i
\(424\) 18.5288 + 25.5027i 0.899838 + 1.23852i
\(425\) −16.7076 + 12.7309i −0.810436 + 0.617539i
\(426\) −25.3812 39.9682i −1.22972 1.93647i
\(427\) 1.11998 1.54152i 0.0541995 0.0745992i
\(428\) 58.1961i 2.81301i
\(429\) 8.59807 + 14.2039i 0.415119 + 0.685769i
\(430\) −2.26911 + 0.385967i −0.109426 + 0.0186130i
\(431\) 2.07686 + 1.50893i 0.100039 + 0.0726825i 0.636680 0.771128i \(-0.280307\pi\)
−0.536641 + 0.843810i \(0.680307\pi\)
\(432\) −41.8560 + 39.3756i −2.01380 + 1.89446i
\(433\) 24.1479 7.84613i 1.16047 0.377061i 0.335395 0.942078i \(-0.391130\pi\)
0.825080 + 0.565016i \(0.191130\pi\)
\(434\) −8.06774 11.1043i −0.387264 0.533023i
\(435\) 11.4713 1.21993i 0.550005 0.0584910i
\(436\) 34.9269 11.3485i 1.67270 0.543492i
\(437\) −12.0641 3.91987i −0.577105 0.187513i
\(438\) 1.77726 + 6.91347i 0.0849209 + 0.330338i
\(439\) 18.3470i 0.875653i 0.899059 + 0.437827i \(0.144252\pi\)
−0.899059 + 0.437827i \(0.855748\pi\)
\(440\) −52.3339 27.3312i −2.49492 1.30297i
\(441\) 3.04064 + 15.8884i 0.144792 + 0.756590i
\(442\) −26.0038 18.8928i −1.23687 0.898641i
\(443\) −8.14023 + 25.0531i −0.386754 + 1.19031i 0.548446 + 0.836186i \(0.315220\pi\)
−0.935200 + 0.354121i \(0.884780\pi\)
\(444\) 14.8123 37.4442i 0.702963 1.77702i
\(445\) 11.5108 11.7764i 0.545665 0.558254i
\(446\) −25.2501 + 18.3453i −1.19563 + 0.868674i
\(447\) 25.5361 + 10.1017i 1.20781 + 0.477793i
\(448\) −5.18404 + 15.9548i −0.244923 + 0.753795i
\(449\) 6.11922 8.42238i 0.288784 0.397477i −0.639835 0.768512i \(-0.720997\pi\)
0.928619 + 0.371036i \(0.120997\pi\)
\(450\) 34.3386 19.9381i 1.61874 0.939890i
\(451\) 8.93147 + 29.6368i 0.420566 + 1.39554i
\(452\) 16.8576 0.792914
\(453\) −8.65561 33.6699i −0.406676 1.58195i
\(454\) −8.93443 + 27.4974i −0.419314 + 1.29051i
\(455\) −7.25872 + 3.80339i −0.340294 + 0.178305i
\(456\) 2.05025 32.7428i 0.0960118 1.53332i
\(457\) 9.88631 7.18283i 0.462462 0.335998i −0.332034 0.943267i \(-0.607735\pi\)
0.794496 + 0.607269i \(0.207735\pi\)
\(458\) 9.22790 2.99833i 0.431192 0.140103i
\(459\) 14.9573 + 15.8995i 0.698147 + 0.742127i
\(460\) −26.4937 + 53.4964i −1.23528 + 2.49428i
\(461\) 6.42353 0.299173 0.149587 0.988749i \(-0.452206\pi\)
0.149587 + 0.988749i \(0.452206\pi\)
\(462\) −14.5935 12.6022i −0.678953 0.586306i
\(463\) 2.34341i 0.108908i 0.998516 + 0.0544538i \(0.0173418\pi\)
−0.998516 + 0.0544538i \(0.982658\pi\)
\(464\) −26.6499 19.3623i −1.23719 0.898872i
\(465\) 11.7566 10.6119i 0.545200 0.492114i
\(466\) 6.53598 + 20.1157i 0.302773 + 0.931840i
\(467\) −20.4128 + 14.8308i −0.944593 + 0.686287i −0.949522 0.313701i \(-0.898431\pi\)
0.00492904 + 0.999988i \(0.498431\pi\)
\(468\) 31.6686 + 29.7034i 1.46388 + 1.37304i
\(469\) 14.4330 4.68957i 0.666455 0.216544i
\(470\) −4.27439 + 29.1340i −0.197163 + 1.34385i
\(471\) 8.60332 + 33.4665i 0.396420 + 1.54206i
\(472\) −7.14470 −0.328862
\(473\) −1.05939 + 0.735500i −0.0487109 + 0.0338183i
\(474\) −33.2819 + 40.2552i −1.52869 + 1.84898i
\(475\) −3.41710 + 11.3947i −0.156787 + 0.522824i
\(476\) 25.3681 + 8.24259i 1.16274 + 0.377798i
\(477\) −10.4062 + 5.72889i −0.476467 + 0.262308i
\(478\) 26.2835 + 36.1761i 1.20218 + 1.65466i
\(479\) −7.26988 + 5.28187i −0.332169 + 0.241335i −0.741350 0.671118i \(-0.765814\pi\)
0.409181 + 0.912453i \(0.365814\pi\)
\(480\) −50.6016 10.6907i −2.30964 0.487963i
\(481\) −12.7623 4.14673i −0.581912 0.189075i
\(482\) 21.1748 + 15.3844i 0.964485 + 0.700739i
\(483\) −7.46106 + 9.02432i −0.339490 + 0.410621i
\(484\) −55.0309 2.36243i −2.50140 0.107383i
\(485\) −21.0753 + 3.58483i −0.956980 + 0.162779i
\(486\) −24.3044 33.3481i −1.10247 1.51270i
\(487\) −7.13443 2.31812i −0.323292 0.105044i 0.142875 0.989741i \(-0.454365\pi\)
−0.466167 + 0.884697i \(0.654365\pi\)
\(488\) −3.69687 11.3778i −0.167349 0.515049i
\(489\) 1.22076 + 0.0764403i 0.0552047 + 0.00345675i
\(490\) −22.3105 + 22.8252i −1.00788 + 1.03114i
\(491\) −10.2006 31.3941i −0.460345 1.41680i −0.864744 0.502214i \(-0.832519\pi\)
0.404399 0.914583i \(-0.367481\pi\)
\(492\) 43.3924 + 68.3306i 1.95628 + 3.08058i
\(493\) −7.35501 + 10.1233i −0.331253 + 0.455930i
\(494\) −18.2035 −0.819012
\(495\) 12.6790 18.2823i 0.569878 0.821729i
\(496\) −45.2246 −2.03064
\(497\) 7.69618 10.5929i 0.345221 0.475156i
\(498\) 7.07256 + 11.1373i 0.316929 + 0.499073i
\(499\) 0.343219 + 1.05632i 0.0153646 + 0.0472873i 0.958445 0.285278i \(-0.0920859\pi\)
−0.943080 + 0.332565i \(0.892086\pi\)
\(500\) 50.7228 + 23.6954i 2.26839 + 1.05969i
\(501\) 5.53209 + 0.346403i 0.247156 + 0.0154761i
\(502\) −5.24411 16.1397i −0.234056 0.720351i
\(503\) −21.9129 7.11992i −0.977046 0.317461i −0.223389 0.974729i \(-0.571712\pi\)
−0.753657 + 0.657268i \(0.771712\pi\)
\(504\) −27.4089 12.8778i −1.22089 0.573622i
\(505\) 1.00350 + 5.89960i 0.0446551 + 0.262529i
\(506\) −1.00405 + 46.7985i −0.0446355 + 2.08045i
\(507\) −5.12776 + 6.20214i −0.227732 + 0.275447i
\(508\) −9.60689 6.97981i −0.426237 0.309679i
\(509\) −10.6093 3.44718i −0.470251 0.152794i 0.0642991 0.997931i \(-0.479519\pi\)
−0.534550 + 0.845137i \(0.679519\pi\)
\(510\) −8.90313 + 42.1404i −0.394237 + 1.86601i
\(511\) −1.59706 + 1.16033i −0.0706497 + 0.0513300i
\(512\) −16.6966 22.9809i −0.737892 1.01562i
\(513\) 12.1458 + 2.30574i 0.536250 + 0.101801i
\(514\) −18.2779 5.93887i −0.806206 0.261952i
\(515\) 32.9527 + 16.3196i 1.45207 + 0.719128i
\(516\) −2.14898 + 2.59924i −0.0946036 + 0.114425i
\(517\) 4.76071 + 15.7972i 0.209376 + 0.694760i
\(518\) 15.5837 0.684707
\(519\) −7.25879 28.2364i −0.318625 1.23944i
\(520\) −7.46879 + 50.9068i −0.327528 + 2.23241i
\(521\) 38.1813 12.4059i 1.67275 0.543510i 0.689269 0.724506i \(-0.257932\pi\)
0.983484 + 0.180995i \(0.0579319\pi\)
\(522\) 16.1822 17.2527i 0.708274 0.755132i
\(523\) −25.4865 + 18.5170i −1.11445 + 0.809692i −0.983358 0.181678i \(-0.941847\pi\)
−0.131088 + 0.991371i \(0.541847\pi\)
\(524\) −11.8240 36.3906i −0.516534 1.58973i
\(525\) 8.62044 + 6.80221i 0.376227 + 0.296873i
\(526\) 61.4929 + 44.6772i 2.68122 + 1.94802i
\(527\) 17.1791i 0.748334i
\(528\) −61.8558 + 14.4944i −2.69193 + 0.630787i
\(529\) 5.42586 0.235907
\(530\) −21.0034 10.4018i −0.912328 0.451825i
\(531\) 0.335858 2.67133i 0.0145750 0.115926i
\(532\) 14.3669 4.66808i 0.622883 0.202387i
\(533\) 21.8229 15.8553i 0.945254 0.686767i
\(534\) 2.11022 33.7004i 0.0913181 1.45836i
\(535\) −12.0614 23.0190i −0.521459 0.995199i
\(536\) 29.4439 90.6189i 1.27178 3.91414i
\(537\) −8.03854 31.2695i −0.346888 1.34938i
\(538\) 13.9541 0.601602
\(539\) −5.89003 + 16.8863i −0.253702 + 0.727343i
\(540\) 19.0336 54.9794i 0.819078 2.36594i
\(541\) 18.4490 25.3929i 0.793185 1.09173i −0.200519 0.979690i \(-0.564263\pi\)
0.993704 0.112036i \(-0.0357371\pi\)
\(542\) 23.3888 71.9832i 1.00463 3.09194i
\(543\) −17.8160 7.04774i −0.764558 0.302448i
\(544\) 45.3853 32.9744i 1.94588 1.41376i
\(545\) −11.4631 + 11.7276i −0.491024 + 0.502353i
\(546\) −6.18105 + 15.6251i −0.264525 + 0.668692i
\(547\) 0.547043 1.68363i 0.0233899 0.0719867i −0.938680 0.344789i \(-0.887950\pi\)
0.962070 + 0.272802i \(0.0879505\pi\)
\(548\) −47.2453 34.3257i −2.01822 1.46632i
\(549\) 4.42782 0.847374i 0.188975 0.0361651i
\(550\) 43.8980 0.0595386i 1.87182 0.00253873i
\(551\) 7.08663i 0.301900i
\(552\) 18.3041 + 71.2022i 0.779076 + 3.03057i
\(553\) −13.7377 4.46364i −0.584185 0.189813i
\(554\) −64.5291 + 20.9668i −2.74158 + 0.890793i
\(555\) 1.90155 + 17.8807i 0.0807161 + 0.758992i
\(556\) 0.374183 + 0.515019i 0.0158689 + 0.0218417i
\(557\) −40.1298 + 13.0390i −1.70036 + 0.552479i −0.988681 0.150030i \(-0.952063\pi\)
−0.711674 + 0.702509i \(0.752063\pi\)
\(558\) 4.05104 32.2210i 0.171494 1.36402i
\(559\) 0.909256 + 0.660613i 0.0384574 + 0.0279410i
\(560\) −5.25808 30.9124i −0.222194 1.30629i
\(561\) 5.50587 + 23.4967i 0.232458 + 0.992031i
\(562\) 47.5129i 2.00421i
\(563\) −23.0999 + 31.7943i −0.973544 + 1.33997i −0.0333085 + 0.999445i \(0.510604\pi\)
−0.940236 + 0.340524i \(0.889396\pi\)
\(564\) 23.1293 + 36.4220i 0.973917 + 1.53364i
\(565\) −6.66789 + 3.49380i −0.280520 + 0.146985i
\(566\) −19.6073 26.9872i −0.824158 1.13436i
\(567\) 6.10330 9.64253i 0.256315 0.404948i
\(568\) −25.4039 78.1852i −1.06592 3.28058i
\(569\) −7.10963 + 21.8812i −0.298051 + 0.917308i 0.684128 + 0.729362i \(0.260183\pi\)
−0.982179 + 0.187946i \(0.939817\pi\)
\(570\) 9.94870 + 22.2715i 0.416705 + 0.932849i
\(571\) 29.8090i 1.24747i −0.781637 0.623734i \(-0.785615\pi\)
0.781637 0.623734i \(-0.214385\pi\)
\(572\) 13.8506 + 45.9596i 0.579122 + 1.92167i
\(573\) −20.4747 16.9279i −0.855342 0.707173i
\(574\) −18.4128 + 25.3430i −0.768536 + 1.05780i
\(575\) −0.607955 26.6510i −0.0253535 1.11142i
\(576\) −34.7705 + 19.1421i −1.44877 + 0.797588i
\(577\) −19.9962 27.5225i −0.832454 1.14578i −0.987461 0.157862i \(-0.949540\pi\)
0.155007 0.987913i \(-0.450460\pi\)
\(578\) −1.00941 1.38934i −0.0419861 0.0577889i
\(579\) −16.2956 6.44631i −0.677224 0.267900i
\(580\) 32.9975 + 4.84124i 1.37015 + 0.201021i
\(581\) −2.14457 + 2.95174i −0.0889716 + 0.122459i
\(582\) −27.9315 + 33.7838i −1.15780 + 1.40038i
\(583\) −13.1296 0.281693i −0.543774 0.0116665i
\(584\) 12.3944i 0.512883i
\(585\) −18.6824 5.18553i −0.772423 0.214395i
\(586\) 14.0530 43.2508i 0.580525 1.78667i
\(587\) 1.54634 + 4.75916i 0.0638245 + 0.196431i 0.977884 0.209149i \(-0.0670694\pi\)
−0.914059 + 0.405581i \(0.867069\pi\)
\(588\) −2.92271 + 46.6760i −0.120530 + 1.92489i
\(589\) 5.71866 + 7.87107i 0.235633 + 0.324322i
\(590\) 4.70541 2.46551i 0.193719 0.101504i
\(591\) −23.2448 + 14.7613i −0.956165 + 0.607198i
\(592\) 30.1807 41.5402i 1.24042 1.70729i
\(593\) 1.16438i 0.0478152i 0.999714 + 0.0239076i \(0.00761075\pi\)
−0.999714 + 0.0239076i \(0.992389\pi\)
\(594\) −4.78595 45.3685i −0.196370 1.86149i
\(595\) −11.7425 + 1.99735i −0.481394 + 0.0818832i
\(596\) 64.2296 + 46.6655i 2.63095 + 1.91149i
\(597\) −0.912229 1.43650i −0.0373350 0.0587921i
\(598\) 38.7958 12.6055i 1.58648 0.515478i
\(599\) 15.8861 + 21.8654i 0.649090 + 0.893395i 0.999059 0.0433657i \(-0.0138081\pi\)
−0.349970 + 0.936761i \(0.613808\pi\)
\(600\) 66.3651 18.6841i 2.70934 0.762775i
\(601\) −39.0846 + 12.6994i −1.59430 + 0.518018i −0.965688 0.259704i \(-0.916375\pi\)
−0.628608 + 0.777722i \(0.716375\pi\)
\(602\) −1.24131 0.403327i −0.0505921 0.0164384i
\(603\) 32.4974 + 15.2686i 1.32340 + 0.621784i
\(604\) 100.506i 4.08952i
\(605\) 22.2567 10.4709i 0.904862 0.425704i
\(606\) 9.45709 + 7.81886i 0.384168 + 0.317620i
\(607\) 30.8181 + 22.3906i 1.25087 + 0.908808i 0.998272 0.0587642i \(-0.0187160\pi\)
0.252595 + 0.967572i \(0.418716\pi\)
\(608\) 9.81783 30.2162i 0.398165 1.22543i
\(609\) 6.08287 + 2.40629i 0.246490 + 0.0975078i
\(610\) 6.36100 + 6.21755i 0.257549 + 0.251741i
\(611\) 11.6322 8.45127i 0.470587 0.341902i
\(612\) 30.4358 + 55.2848i 1.23029 + 2.23476i
\(613\) 1.95042 6.00277i 0.0787767 0.242450i −0.903911 0.427721i \(-0.859316\pi\)
0.982687 + 0.185272i \(0.0593165\pi\)
\(614\) 41.7666 57.4868i 1.68556 2.31998i
\(615\) −31.3253 18.0344i −1.26316 0.727218i
\(616\) −19.0933 27.5014i −0.769289 1.10806i
\(617\) −44.9142 −1.80818 −0.904089 0.427344i \(-0.859449\pi\)
−0.904089 + 0.427344i \(0.859449\pi\)
\(618\) 73.0266 18.7731i 2.93756 0.755166i
\(619\) 9.37853 28.8642i 0.376955 1.16015i −0.565195 0.824957i \(-0.691199\pi\)
0.942150 0.335191i \(-0.108801\pi\)
\(620\) 40.5568 21.2508i 1.62880 0.853451i
\(621\) −27.4822 + 3.49665i −1.10282 + 0.140316i
\(622\) 20.1884 14.6677i 0.809482 0.588123i
\(623\) 8.88101 2.88562i 0.355810 0.115610i
\(624\) 29.6798 + 46.7373i 1.18814 + 1.87099i
\(625\) −24.9740 + 1.13999i −0.998960 + 0.0455997i
\(626\) 69.8083 2.79010
\(627\) 10.3443 + 8.93281i 0.413113 + 0.356742i
\(628\) 99.8987i 3.98639i
\(629\) −15.7796 11.4645i −0.629172 0.457120i
\(630\) 22.4950 0.977188i 0.896223 0.0389321i
\(631\) −0.0379658 0.116847i −0.00151140 0.00465160i 0.950298 0.311342i \(-0.100778\pi\)
−0.951809 + 0.306690i \(0.900778\pi\)
\(632\) −73.3712 + 53.3073i −2.91855 + 2.12045i
\(633\) 30.5026 + 1.90998i 1.21237 + 0.0759149i
\(634\) 9.54509 3.10139i 0.379084 0.123172i
\(635\) 5.24653 + 0.769745i 0.208202 + 0.0305464i
\(636\) −33.2609 + 8.55047i −1.31888 + 0.339048i
\(637\) 15.5852 0.617508
\(638\) 25.0384 7.54567i 0.991279 0.298736i
\(639\) 30.4268 5.82293i 1.20367 0.230352i
\(640\) −16.6630 8.25224i −0.658663 0.326198i
\(641\) −31.7251 10.3081i −1.25306 0.407145i −0.394046 0.919091i \(-0.628925\pi\)
−0.859018 + 0.511945i \(0.828925\pi\)
\(642\) −49.5506 19.6015i −1.95561 0.773609i
\(643\) −10.2696 14.1349i −0.404993 0.557425i 0.556995 0.830516i \(-0.311954\pi\)
−0.961988 + 0.273090i \(0.911954\pi\)
\(644\) −27.3866 + 19.8976i −1.07918 + 0.784073i
\(645\) 0.311310 1.47349i 0.0122578 0.0580188i
\(646\) −25.1637 8.17618i −0.990052 0.321687i
\(647\) 28.9109 + 21.0050i 1.13660 + 0.825792i 0.986643 0.162900i \(-0.0520848\pi\)
0.149962 + 0.988692i \(0.452085\pi\)
\(648\) −26.4550 66.5869i −1.03925 2.61578i
\(649\) 1.80080 2.36997i 0.0706876 0.0930295i
\(650\) −12.6482 36.1039i −0.496104 1.41611i
\(651\) 8.69799 2.23601i 0.340901 0.0876363i
\(652\) 3.36310 + 1.09274i 0.131709 + 0.0427949i
\(653\) 1.18766 + 3.65525i 0.0464768 + 0.143041i 0.971602 0.236622i \(-0.0760402\pi\)
−0.925125 + 0.379662i \(0.876040\pi\)
\(654\) −2.10147 + 33.5607i −0.0821738 + 1.31233i
\(655\) 12.2190 + 11.9434i 0.477436 + 0.466669i
\(656\) 31.8951 + 98.1632i 1.24530 + 3.83263i
\(657\) −4.63413 0.582635i −0.180795 0.0227307i
\(658\) −9.81451 + 13.5085i −0.382609 + 0.526616i
\(659\) −7.60622 −0.296296 −0.148148 0.988965i \(-0.547331\pi\)
−0.148148 + 0.988965i \(0.547331\pi\)
\(660\) 48.6607 42.0640i 1.89411 1.63734i
\(661\) 38.8200 1.50992 0.754962 0.655769i \(-0.227655\pi\)
0.754962 + 0.655769i \(0.227655\pi\)
\(662\) 15.4763 21.3013i 0.601503 0.827898i
\(663\) 17.7537 11.2743i 0.689498 0.437856i
\(664\) 7.07888 + 21.7866i 0.274714 + 0.845482i
\(665\) −4.71523 + 4.82402i −0.182849 + 0.187068i
\(666\) 26.8925 + 25.2237i 1.04206 + 0.977400i
\(667\) −4.90735 15.1033i −0.190013 0.584800i
\(668\) 15.2405 + 4.95193i 0.589672 + 0.191596i
\(669\) −5.08448 19.7784i −0.196577 0.764677i
\(670\) 11.8797 + 69.8411i 0.458952 + 2.69820i
\(671\) 4.70592 + 1.64145i 0.181670 + 0.0633676i
\(672\) −22.6026 18.6872i −0.871915 0.720875i
\(673\) −7.41375 5.38640i −0.285779 0.207631i 0.435655 0.900114i \(-0.356517\pi\)
−0.721434 + 0.692483i \(0.756517\pi\)
\(674\) −53.9895 17.5423i −2.07960 0.675702i
\(675\) 3.86610 + 25.6915i 0.148806 + 0.988866i
\(676\) −18.8220 + 13.6750i −0.723923 + 0.525961i
\(677\) 15.0828 + 20.7597i 0.579678 + 0.797859i 0.993660 0.112426i \(-0.0358623\pi\)
−0.413982 + 0.910285i \(0.635862\pi\)
\(678\) −5.67794 + 14.3533i −0.218060 + 0.551234i
\(679\) −11.5292 3.74606i −0.442450 0.143761i
\(680\) −33.1896 + 67.0167i −1.27276 + 2.56997i
\(681\) −14.5798 12.0542i −0.558701 0.461919i
\(682\) 21.7209 28.5860i 0.831734 1.09462i
\(683\) 3.43032 0.131258 0.0656288 0.997844i \(-0.479095\pi\)
0.0656288 + 0.997844i \(0.479095\pi\)
\(684\) 32.3485 + 15.1986i 1.23687 + 0.581133i
\(685\) 25.8017 + 3.78549i 0.985830 + 0.144636i
\(686\) −39.5590 + 12.8535i −1.51037 + 0.490749i
\(687\) −0.396753 + 6.33620i −0.0151371 + 0.241741i
\(688\) −3.47915 + 2.52775i −0.132642 + 0.0963697i
\(689\) 3.53656 + 10.8844i 0.134732 + 0.414664i
\(690\) −36.6255 40.5764i −1.39431 1.54472i
\(691\) 4.50966 + 3.27646i 0.171556 + 0.124643i 0.670250 0.742135i \(-0.266187\pi\)
−0.498694 + 0.866778i \(0.666187\pi\)
\(692\) 84.2864i 3.20409i
\(693\) 11.1800 5.84599i 0.424694 0.222071i
\(694\) −15.9679 −0.606134
\(695\) −0.254745 0.126161i −0.00966303 0.00478555i
\(696\) 34.6713 22.0175i 1.31421 0.834571i
\(697\) 37.2885 12.1158i 1.41240 0.458917i
\(698\) 9.29321 6.75191i 0.351753 0.255564i
\(699\) −13.8121 0.864872i −0.522422 0.0327125i
\(700\) 19.2409 + 25.2511i 0.727239 + 0.954403i
\(701\) 12.8349 39.5018i 0.484768 1.49196i −0.347549 0.937662i \(-0.612986\pi\)
0.832317 0.554301i \(-0.187014\pi\)
\(702\) −35.9573 + 16.9593i −1.35712 + 0.640088i
\(703\) −11.0462 −0.416615
\(704\) −43.8704 0.941228i −1.65343 0.0354739i
\(705\) −16.6972 9.61281i −0.628853 0.362039i
\(706\) −33.6175 + 46.2705i −1.26521 + 1.74141i
\(707\) −1.04863 + 3.22737i −0.0394380 + 0.121378i
\(708\) 2.86322 7.23795i 0.107607 0.272019i
\(709\) −25.1126 + 18.2454i −0.943124 + 0.685220i −0.949171 0.314762i \(-0.898075\pi\)
0.00604667 + 0.999982i \(0.498075\pi\)
\(710\) 43.7111 + 42.7253i 1.64045 + 1.60345i
\(711\) −16.4820 29.9386i −0.618124 1.12279i
\(712\) 18.1176 55.7602i 0.678985 2.08970i
\(713\) −17.6384 12.8150i −0.660562 0.479926i
\(714\) −15.5625 + 18.8232i −0.582412 + 0.704441i
\(715\) −15.0038 15.3084i −0.561111 0.572501i
\(716\) 93.3406i 3.48830i
\(717\) −28.3368 + 7.28460i −1.05826 + 0.272048i
\(718\) −56.4832 18.3525i −2.10793 0.684909i
\(719\) 34.6890 11.2711i 1.29368 0.420342i 0.420301 0.907385i \(-0.361924\pi\)
0.873378 + 0.487043i \(0.161924\pi\)
\(720\) 40.9610 61.8557i 1.52653 2.30523i
\(721\) 12.2565 + 16.8696i 0.456456 + 0.628258i
\(722\) 33.5831 10.9118i 1.24983 0.406096i
\(723\) −14.4568 + 9.18059i −0.537655 + 0.341430i
\(724\) −44.8117 32.5576i −1.66541 1.20999i
\(725\) −14.0553 + 4.92396i −0.522000 + 0.182871i
\(726\) 20.5469 46.0599i 0.762566 1.70944i
\(727\) 0.499635i 0.0185304i −0.999957 0.00926522i \(-0.997051\pi\)
0.999957 0.00926522i \(-0.00294925\pi\)
\(728\) −17.1492 + 23.6039i −0.635593 + 0.874818i
\(729\) 26.1398 6.76115i 0.968139 0.250413i
\(730\) −4.27709 8.16278i −0.158302 0.302118i
\(731\) 0.960199 + 1.32160i 0.0355142 + 0.0488811i
\(732\) 13.0078 + 0.814509i 0.480782 + 0.0301051i
\(733\) −10.1721 31.3064i −0.375714 1.15633i −0.942996 0.332804i \(-0.892005\pi\)
0.567283 0.823523i \(-0.307995\pi\)
\(734\) −10.1235 + 31.1569i −0.373665 + 1.15002i
\(735\) −8.51774 19.0681i −0.314182 0.703337i
\(736\) 71.1963i 2.62433i
\(737\) 22.6380 + 32.6071i 0.833881 + 1.20110i
\(738\) −72.7949 + 13.9311i −2.67962 + 0.512812i
\(739\) −21.6042 + 29.7356i −0.794723 + 1.09384i 0.198781 + 0.980044i \(0.436302\pi\)
−0.993504 + 0.113798i \(0.963698\pi\)
\(740\) −7.54621 + 51.4345i −0.277404 + 1.89077i
\(741\) 4.38132 11.0755i 0.160952 0.406870i
\(742\) −7.81204 10.7524i −0.286789 0.394731i
\(743\) −12.5884 17.3265i −0.461824 0.635647i 0.513062 0.858352i \(-0.328511\pi\)
−0.974886 + 0.222705i \(0.928511\pi\)
\(744\) 20.7418 52.4332i 0.760431 1.92229i
\(745\) −35.0772 5.14635i −1.28513 0.188548i
\(746\) −17.0022 + 23.4015i −0.622495 + 0.856791i
\(747\) −8.47853 + 1.62258i −0.310213 + 0.0593670i
\(748\) −1.49655 + 69.7536i −0.0547192 + 2.55045i
\(749\) 14.7364i 0.538456i
\(750\) −37.2596 + 35.2066i −1.36053 + 1.28556i
\(751\) 2.67916 8.24561i 0.0977640 0.300887i −0.890200 0.455570i \(-0.849436\pi\)
0.987964 + 0.154683i \(0.0494356\pi\)
\(752\) 17.0009 + 52.3235i 0.619961 + 1.90804i
\(753\) 11.0821 + 0.693927i 0.403854 + 0.0252881i
\(754\) −13.3952 18.4369i −0.487823 0.671431i
\(755\) 20.8302 + 39.7543i 0.758090 + 1.44681i
\(756\) 24.0299 22.6058i 0.873959 0.822166i
\(757\) −6.70715 + 9.23159i −0.243775 + 0.335528i −0.913319 0.407245i \(-0.866490\pi\)
0.669544 + 0.742773i \(0.266490\pi\)
\(758\) 7.17764i 0.260704i
\(759\) −28.2320 11.8747i −1.02476 0.431022i
\(760\) 7.10215 + 41.7538i 0.257622 + 1.51457i
\(761\) −29.2454 21.2480i −1.06015 0.770241i −0.0860301 0.996293i \(-0.527418\pi\)
−0.974115 + 0.226052i \(0.927418\pi\)
\(762\) 9.17868 5.82879i 0.332509 0.211155i
\(763\) −8.84418 + 2.87365i −0.320181 + 0.104033i
\(764\) −45.1442 62.1357i −1.63326 2.24799i
\(765\) −23.4967 15.5596i −0.849524 0.562557i
\(766\) −4.40785 + 1.43220i −0.159262 + 0.0517474i
\(767\) −2.46695 0.801562i −0.0890765 0.0289427i
\(768\) 7.46153 1.91816i 0.269245 0.0692155i
\(769\) 19.5863i 0.706298i −0.935567 0.353149i \(-0.885111\pi\)
0.935567 0.353149i \(-0.114889\pi\)
\(770\) 22.0648 + 11.5233i 0.795161 + 0.415271i
\(771\) 8.01264 9.69147i 0.288568 0.349030i
\(772\) −40.9876 29.7793i −1.47518 1.07178i
\(773\) 10.8649 33.4388i 0.390784 1.20271i −0.541412 0.840758i \(-0.682110\pi\)
0.932196 0.361953i \(-0.117890\pi\)
\(774\) −1.48929 2.70520i −0.0535314 0.0972366i