Properties

Label 165.2.r.a.29.19
Level $165$
Weight $2$
Character 165.29
Analytic conductor $1.318$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

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 29.19
Character \(\chi\) \(=\) 165.29
Dual form 165.2.r.a.74.19

$q$-expansion

\(f(q)\) \(=\) \(q+(1.55596 - 2.14159i) q^{2} +(-1.61061 + 0.637133i) q^{3} +(-1.54738 - 4.76233i) q^{4} +(-1.59907 - 1.56301i) q^{5} +(-1.14156 + 4.44062i) q^{6} +(0.391826 + 1.20592i) q^{7} +(-7.57144 - 2.46011i) q^{8} +(2.18812 - 2.05234i) q^{9} +O(q^{10})\) \(q+(1.55596 - 2.14159i) q^{2} +(-1.61061 + 0.637133i) q^{3} +(-1.54738 - 4.76233i) q^{4} +(-1.59907 - 1.56301i) q^{5} +(-1.14156 + 4.44062i) q^{6} +(0.391826 + 1.20592i) q^{7} +(-7.57144 - 2.46011i) q^{8} +(2.18812 - 2.05234i) 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} +(3.57131 + 1.49857i) q^{15} +(-8.94722 + 6.50054i) q^{16} +(-2.46931 - 3.39871i) q^{17} +(-0.990655 - 7.87942i) 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} +(13.7621 - 0.861738i) q^{24} +(0.114029 + 4.99870i) q^{25} +(7.27659 - 2.36431i) q^{26} +(-2.21660 + 4.69965i) q^{27} +(5.13667 - 3.73201i) q^{28} +(-0.920428 - 2.83279i) q^{29} +(8.76614 - 5.31658i) q^{30} +(3.30827 + 2.40360i) q^{31} +13.3537i q^{32} +(-3.18284 + 4.78221i) q^{33} -11.1208 q^{34} +(1.25830 - 2.54077i) q^{35} +(-13.1598 - 7.24483i) q^{36} +(-4.41557 + 1.43471i) q^{37} +(5.09529 - 3.70194i) q^{38} +(-4.84850 - 1.24642i) q^{39} +(8.26208 + 15.7681i) q^{40} +(-2.88399 + 8.87601i) q^{41} +(-5.80230 + 0.363323i) q^{42} +0.388853 q^{43} +(-13.2234 - 10.0477i) q^{44} +(-6.70678 - 0.138214i) q^{45} +(8.29573 - 11.4181i) q^{46} +(-1.53724 + 4.73115i) q^{47} +(10.2688 - 16.1704i) q^{48} +(4.36241 - 3.16948i) q^{49} +(10.8826 + 7.53356i) q^{50} +(6.14252 + 3.90072i) 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} +(-4.11285 + 0.257534i) q^{57} +(-7.49882 - 2.43651i) q^{58} +(0.853529 - 0.277328i) q^{59} +(1.61054 - 19.3266i) q^{60} +(-0.883280 - 1.21573i) q^{61} +(10.2951 - 3.34507i) q^{62} +(3.33232 + 1.83453i) q^{63} +(10.7037 + 7.77667i) q^{64} +(-1.08375 - 6.37139i) q^{65} +(5.28918 + 14.2573i) q^{66} -11.9685i q^{67} +(-12.3649 + 17.0188i) q^{68} +(-8.58711 + 3.39693i) q^{69} +(-3.48342 - 6.64808i) q^{70} +(6.06966 + 8.35417i) q^{71} +(-21.6162 + 10.1562i) q^{72} +(0.481100 + 1.48067i) q^{73} +(-3.79788 + 11.6887i) q^{74} +(-3.36849 - 7.97830i) 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} +(0.575769 - 8.98156i) q^{81} +(14.5214 + 19.9870i) q^{82} +(-1.69133 - 2.32792i) q^{83} +(-5.89538 + 9.28355i) 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} +(-10.7315 + 14.1481i) q^{90} +(-1.13249 + 3.48546i) q^{91} +(-8.24998 - 25.3908i) q^{92} +(-6.85975 - 1.76345i) q^{93} +(7.74030 + 10.6536i) q^{94} +(-2.46916 - 4.71236i) q^{95} +(-8.50807 - 21.5076i) q^{96} +(-5.61954 + 7.73464i) q^{97} -14.2741i q^{98} +(2.07941 - 9.73016i) 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 \(-0.414580\pi\)
0.835082 0.550125i \(-0.185420\pi\)
\(3\) −1.61061 + 0.637133i −0.929886 + 0.367849i
\(4\) −1.54738 4.76233i −0.773688 2.38117i
\(5\) −1.59907 1.56301i −0.715124 0.698997i
\(6\) −1.14156 + 4.44062i −0.466040 + 1.81287i
\(7\) 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
\(9\) 2.18812 2.05234i 0.729375 0.684115i
\(10\) −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
\(15\) 3.57131 + 1.49857i 0.922109 + 0.386930i
\(16\) −8.94722 + 6.50054i −2.23681 + 1.62513i
\(17\) −2.46931 3.39871i −0.598896 0.824309i 0.396711 0.917944i \(-0.370151\pi\)
−0.995607 + 0.0936345i \(0.970151\pi\)
\(18\) −0.990655 7.87942i −0.233500 1.85720i
\(19\) 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 \(-0.312390\pi\)
0.555857 + 0.831278i \(0.312390\pi\)
\(24\) 13.7621 0.861738i 2.80917 0.175901i
\(25\) 0.114029 + 4.99870i 0.0228058 + 0.999740i
\(26\) 7.27659 2.36431i 1.42706 0.463679i
\(27\) −2.21660 + 4.69965i −0.426584 + 0.904448i
\(28\) 5.13667 3.73201i 0.970740 0.705284i
\(29\) −0.920428 2.83279i −0.170919 0.526035i 0.828504 0.559982i \(-0.189192\pi\)
−0.999424 + 0.0339473i \(0.989192\pi\)
\(30\) 8.76614 5.31658i 1.60047 0.970670i
\(31\) 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
\(33\) −3.18284 + 4.78221i −0.554061 + 0.832476i
\(34\) −11.1208 −1.90720
\(35\) 1.25830 2.54077i 0.212691 0.429468i
\(36\) −13.1598 7.24483i −2.19330 1.20747i
\(37\) −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
\(39\) −4.84850 1.24642i −0.776381 0.199586i
\(40\) 8.26208 + 15.7681i 1.30635 + 2.49315i
\(41\) −2.88399 + 8.87601i −0.450404 + 1.38620i 0.426043 + 0.904703i \(0.359907\pi\)
−0.876447 + 0.481498i \(0.840093\pi\)
\(42\) −5.80230 + 0.363323i −0.895315 + 0.0560619i
\(43\) 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
\(45\) −6.70678 0.138214i −0.999788 0.0206037i
\(46\) 8.29573 11.4181i 1.22314 1.68351i
\(47\) −1.53724 + 4.73115i −0.224230 + 0.690109i 0.774139 + 0.633016i \(0.218183\pi\)
−0.998369 + 0.0570931i \(0.981817\pi\)
\(48\) 10.2688 16.1704i 1.48217 2.33400i
\(49\) 4.36241 3.16948i 0.623202 0.452783i
\(50\) 10.8826 + 7.53356i 1.53903 + 1.06541i
\(51\) 6.14252 + 3.90072i 0.860125 + 0.546210i
\(52\) 4.47238 13.7646i 0.620208 1.90880i
\(53\) −3.20342 2.32742i −0.440024 0.319696i 0.345621 0.938374i \(-0.387668\pi\)
−0.785644 + 0.618678i \(0.787668\pi\)
\(54\) 6.61580 + 12.0595i 0.900296 + 1.64109i
\(55\) −7.31287 1.23369i −0.986067 0.166350i
\(56\) 10.0945i 1.34893i
\(57\) −4.11285 + 0.257534i −0.544760 + 0.0341112i
\(58\) −7.49882 2.43651i −0.984643 0.319930i
\(59\) 0.853529 0.277328i 0.111120 0.0361051i −0.252929 0.967485i \(-0.581394\pi\)
0.364049 + 0.931380i \(0.381394\pi\)
\(60\) 1.61054 19.3266i 0.207920 2.49506i
\(61\) −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
\(63\) 3.33232 + 1.83453i 0.419832 + 0.231129i
\(64\) 10.7037 + 7.77667i 1.33796 + 0.972084i
\(65\) −1.08375 6.37139i −0.134423 0.790274i
\(66\) 5.28918 + 14.2573i 0.651053 + 1.75495i
\(67\) 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
\(69\) −8.58711 + 3.39693i −1.03377 + 0.408942i
\(70\) −3.48342 6.64808i −0.416349 0.794598i
\(71\) 6.06966 + 8.35417i 0.720336 + 0.991458i 0.999513 + 0.0312181i \(0.00993866\pi\)
−0.279176 + 0.960240i \(0.590061\pi\)
\(72\) −21.6162 + 10.1562i −2.54750 + 1.19692i
\(73\) 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
\(75\) −3.36849 7.97830i −0.388960 0.921255i
\(76\) 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
\(81\) 0.575769 8.98156i 0.0639743 0.997952i
\(82\) 14.5214 + 19.9870i 1.60362 + 2.20720i
\(83\) −1.69133 2.32792i −0.185648 0.255522i 0.706041 0.708171i \(-0.250479\pi\)
−0.891689 + 0.452648i \(0.850479\pi\)
\(84\) −5.89538 + 9.28355i −0.643239 + 1.01292i
\(85\) −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 \(0.127636\pi\)
−0.920679 + 0.390320i \(0.872364\pi\)
\(90\) −10.7315 + 14.1481i −1.13120 + 1.49134i
\(91\) −1.13249 + 3.48546i −0.118718 + 0.365375i
\(92\) −8.24998 25.3908i −0.860120 2.64718i
\(93\) −6.85975 1.76345i −0.711323 0.182862i
\(94\) 7.74030 + 10.6536i 0.798351 + 1.09884i
\(95\) −2.46916 4.71236i −0.253330 0.483478i
\(96\) −8.50807 21.5076i −0.868351 2.19511i
\(97\) −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
\(99\) 2.07941 9.73016i 0.208988 0.977918i
\(100\) 23.6290 8.27791i 2.36290 0.827791i
\(101\) −2.16515 1.57308i −0.215441 0.156527i 0.474831 0.880077i \(-0.342509\pi\)
−0.690272 + 0.723550i \(0.742509\pi\)
\(102\) 17.9113 7.08542i 1.77348 0.701561i
\(103\) 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
\(105\) −0.407820 + 4.89388i −0.0397991 + 0.477594i
\(106\) −9.96877 + 3.23905i −0.968252 + 0.314604i
\(107\) 11.0532 + 3.59139i 1.06855 + 0.347193i 0.789923 0.613207i \(-0.210121\pi\)
0.278627 + 0.960399i \(0.410121\pi\)
\(108\) 25.8112 + 3.28405i 2.48368 + 0.316007i
\(109\) 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 −0.890125 0.455716i \(-0.849383\pi\)
0.987990 + 0.154520i \(0.0493832\pi\)
\(114\) −5.84789 + 9.20876i −0.547705 + 0.862479i
\(115\) −8.52557 8.33330i −0.795013 0.777085i
\(116\) −12.0664 + 8.76677i −1.12034 + 0.813974i
\(117\) 8.60317 1.08165i 0.795363 0.0999985i
\(118\) 0.734130 2.25942i 0.0675822 0.207997i
\(119\) 3.13102 4.30948i 0.287020 0.395050i
\(120\) −23.3533 20.1322i −2.13186 1.83781i
\(121\) 3.84476 10.3062i 0.349523 0.936928i
\(122\) −3.97794 −0.360146
\(123\) −1.01022 16.1333i −0.0910882 1.45469i
\(124\) 6.32761 19.4744i 0.568236 1.74885i
\(125\) 7.63065 8.17148i 0.682506 0.730880i
\(126\) 9.11376 4.28201i 0.811918 0.381472i
\(127\) 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
\(129\) −0.626290 + 0.247751i −0.0551418 + 0.0218133i
\(130\) −15.3312 7.59267i −1.34463 0.665921i
\(131\) −7.64133 −0.667626 −0.333813 0.942639i \(-0.608335\pi\)
−0.333813 + 0.942639i \(0.608335\pi\)
\(132\) 27.6995 + 7.75786i 2.41094 + 0.675235i
\(133\) 3.01677i 0.261587i
\(134\) −25.6317 18.6225i −2.21424 1.60874i
\(135\) 10.8901 4.05050i 0.937267 0.348612i
\(136\) 10.3350 + 31.8079i 0.886221 + 2.72751i
\(137\) −9.43506 + 6.85497i −0.806092 + 0.585660i −0.912695 0.408642i \(-0.866003\pi\)
0.106603 + 0.994302i \(0.466003\pi\)
\(138\) −6.08633 + 23.6756i −0.518103 + 2.01540i
\(139\) −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
\(141\) −0.538472 8.59946i −0.0453475 0.724205i
\(142\) 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
\(147\) −5.00676 + 7.88423i −0.412951 + 0.650280i
\(148\) 13.6651 + 18.8084i 1.12326 + 1.54604i
\(149\) 12.8269 9.31929i 1.05082 0.763466i 0.0784521 0.996918i \(-0.475002\pi\)
0.972368 + 0.233452i \(0.0750022\pi\)
\(150\) −22.3275 5.19996i −1.82303 0.424575i
\(151\) 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
\(156\) 1.56660 + 25.0189i 0.125429 + 2.00311i
\(157\) −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
\(159\) 6.64233 + 1.70756i 0.526771 + 0.135418i
\(160\) 20.8719 21.3534i 1.65007 1.68814i
\(161\) 2.08905 + 6.42945i 0.164641 + 0.506712i
\(162\) −18.3390 15.2080i −1.44085 1.19485i
\(163\) −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
\(165\) 12.5642 2.67228i 0.978121 0.208037i
\(166\) −7.61709 −0.591201
\(167\) 1.88104 2.58903i 0.145559 0.200345i −0.730012 0.683434i \(-0.760485\pi\)
0.875571 + 0.483090i \(0.160485\pi\)
\(168\) 6.43151 + 16.2582i 0.496202 + 1.25435i
\(169\) −1.43574 4.41877i −0.110442 0.339905i
\(170\) 17.7829 + 17.3819i 1.36389 + 1.33313i
\(171\) 6.46011 3.03522i 0.494017 0.232109i
\(172\) −0.601702 1.85185i −0.0458793 0.141202i
\(173\) −16.0085 5.20147i −1.21710 0.395461i −0.371077 0.928602i \(-0.621011\pi\)
−0.846026 + 0.533141i \(0.821011\pi\)
\(174\) 13.6300 0.853472i 1.03329 0.0647015i
\(175\) −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 −0.440833 0.897589i \(-0.645317\pi\)
−0.884231 + 0.467050i \(0.845317\pi\)
\(180\) 9.71969 + 32.1538i 0.724463 + 2.39660i
\(181\) 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
\(183\) 2.19720 + 1.39530i 0.162422 + 0.103144i
\(184\) −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
\(189\) −6.53590 0.831584i −0.475417 0.0604889i
\(190\) −13.9339 2.04431i −1.01087 0.148310i
\(191\) −14.5873 + 4.73971i −1.05550 + 0.342954i −0.784826 0.619716i \(-0.787248\pi\)
−0.270677 + 0.962670i \(0.587248\pi\)
\(192\) −22.1942 5.70552i −1.60173 0.411760i
\(193\) 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
\(195\) 5.80492 + 9.57133i 0.415699 + 0.685417i
\(196\) −21.8444 15.8709i −1.56032 1.13364i
\(197\) 15.8978i 1.13267i 0.824175 + 0.566335i \(0.191639\pi\)
−0.824175 + 0.566335i \(0.808361\pi\)
\(198\) −17.6026 19.5930i −1.25096 1.39241i
\(199\) 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
\(201\) 7.62554 + 19.2766i 0.537864 + 1.35967i
\(202\) −6.73778 + 2.18924i −0.474068 + 0.154034i
\(203\) 3.05545 2.21992i 0.214451 0.155808i
\(204\) 9.07174 35.2886i 0.635149 2.47070i
\(205\) 18.4850 9.68564i 1.29105 0.676475i
\(206\) 13.4524 41.4021i 0.937271 2.88462i
\(207\) 11.6662 10.9423i 0.810855 0.760539i
\(208\) −31.9649 −2.21637
\(209\) 7.55530 2.27690i 0.522611 0.157496i
\(210\) 9.84615 + 8.48805i 0.679449 + 0.585731i
\(211\) −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
\(213\) −15.0986 9.58813i −1.03454 0.656968i
\(214\) 24.8895 18.0833i 1.70141 1.23615i
\(215\) −0.621802 0.607779i −0.0424065 0.0414502i
\(216\) 28.3445 30.1300i 1.92860 2.05009i
\(217\) −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
\(222\) −1.33034 21.2457i −0.0892864 1.42591i
\(223\) 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
\(225\) 10.5086 + 10.7037i 0.700571 + 0.713583i
\(226\) −5.23817 7.20972i −0.348438 0.479583i
\(227\) −10.3875 + 3.37511i −0.689444 + 0.224014i −0.632725 0.774376i \(-0.718064\pi\)
−0.0567187 + 0.998390i \(0.518064\pi\)
\(228\) 7.59059 + 19.1883i 0.502699 + 1.27077i
\(229\) −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
\(231\) −7.01406 1.96444i −0.461491 0.129251i
\(232\) 23.7126i 1.55681i
\(233\) −4.69643 + 6.46408i −0.307673 + 0.423476i −0.934654 0.355559i \(-0.884291\pi\)
0.626981 + 0.779035i \(0.284291\pi\)
\(234\) 11.0697 20.1075i 0.723650 1.31447i
\(235\) 9.85296 5.16270i 0.642736 0.336778i
\(236\) −2.64146 3.63566i −0.171944 0.236661i
\(237\) 4.91265 19.1100i 0.319111 1.24133i
\(238\) −4.35741 13.4107i −0.282449 0.869289i
\(239\) −5.21997 + 16.0654i −0.337652 + 1.03919i 0.627749 + 0.778416i \(0.283976\pi\)
−0.965401 + 0.260770i \(0.916024\pi\)
\(240\) −41.6949 + 9.80739i −2.69139 + 0.633065i
\(241\) 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
\(246\) −36.1227 22.9392i −2.30310 1.46255i
\(247\) 4.04198 + 5.56330i 0.257185 + 0.353984i
\(248\) −19.1353 26.3375i −1.21509 1.67243i
\(249\) 4.20727 + 2.67176i 0.266625 + 0.169316i
\(250\) −5.62700 29.0562i −0.355883 1.83768i
\(251\) 3.76816 5.18643i 0.237844 0.327365i −0.673364 0.739312i \(-0.735151\pi\)
0.911208 + 0.411947i \(0.135151\pi\)
\(252\) 3.58030 18.7083i 0.225538 1.17851i
\(253\) 14.5254 10.0845i 0.913205 0.634007i
\(254\) 6.27755i 0.393889i
\(255\) −3.72546 15.8383i −0.233297 0.991833i
\(256\) −1.37450 + 4.23029i −0.0859065 + 0.264393i
\(257\) −2.24349 6.90476i −0.139945 0.430707i 0.856381 0.516344i \(-0.172707\pi\)
−0.996326 + 0.0856371i \(0.972707\pi\)
\(258\) −0.443899 + 1.72675i −0.0276360 + 0.107503i
\(259\) −3.46027 4.76265i −0.215011 0.295937i
\(260\) −28.6657 + 15.0201i −1.77777 + 0.931508i
\(261\) −7.82786 4.30945i −0.484532 0.266748i
\(262\) −11.8896 + 16.3646i −0.734541 + 1.01101i
\(263\) 28.7137i 1.77056i 0.465058 + 0.885280i \(0.346033\pi\)
−0.465058 + 0.885280i \(0.653967\pi\)
\(264\) 35.8634 28.3781i 2.20724 1.74655i
\(265\) 1.48471 + 8.72866i 0.0912051 + 0.536198i
\(266\) 6.46070 + 4.69397i 0.396131 + 0.287806i
\(267\) −4.69219 11.8614i −0.287157 0.725906i
\(268\) −56.9981 + 18.5198i −3.48171 + 1.13128i
\(269\) 3.09842 + 4.26461i 0.188914 + 0.260018i 0.892959 0.450137i \(-0.148625\pi\)
−0.704045 + 0.710155i \(0.748625\pi\)
\(270\) 8.26995 29.6245i 0.503293 1.80289i
\(271\) −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
\(273\) −0.396695 6.33526i −0.0240091 0.383427i
\(274\) 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
\(279\) 12.1719 1.53034i 0.728714 0.0916190i
\(280\) −15.7777 + 16.1417i −0.942897 + 0.964652i
\(281\) −14.5208 + 10.5500i −0.866238 + 0.629359i −0.929575 0.368633i \(-0.879826\pi\)
0.0633366 + 0.997992i \(0.479826\pi\)
\(282\) −19.2544 12.2272i −1.14658 0.728119i
\(283\) −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
\(285\) 6.97925 + 6.01659i 0.413415 + 0.356392i
\(286\) 15.3524 20.2047i 0.907806 1.19473i
\(287\) −11.8337 −0.698524
\(288\) 27.4063 + 29.2195i 1.61493 + 1.72178i
\(289\) −0.200472 + 0.616990i −0.0117925 + 0.0362935i
\(290\) 8.18282 + 15.6168i 0.480512 + 0.917052i
\(291\) 4.12290 16.0379i 0.241688 0.940157i
\(292\) 6.30702 4.58232i 0.369090 0.268160i
\(293\) 16.3386 5.30874i 0.954512 0.310140i 0.209964 0.977709i \(-0.432665\pi\)
0.744547 + 0.667569i \(0.232665\pi\)
\(294\) 9.09448 + 22.9900i 0.530401 + 1.34080i
\(295\) −1.79831 0.890603i −0.104702 0.0518529i
\(296\) 36.9618 2.14836
\(297\) 2.85030 + 16.9963i 0.165391 + 0.986228i
\(298\) 41.9704i 2.43128i
\(299\) 12.4669 + 9.05771i 0.720978 + 0.523821i
\(300\) −32.7830 + 28.3873i −1.89273 + 1.63894i
\(301\) 0.152363 + 0.468924i 0.00878204 + 0.0270283i
\(302\) 42.9847 31.2302i 2.47349 1.79710i
\(303\) 4.48948 + 1.15412i 0.257914 + 0.0663025i
\(304\) −25.0247 + 8.13102i −1.43527 + 0.466346i
\(305\) −0.487770 + 3.32461i −0.0279296 + 0.190366i
\(306\) −24.3337 + 22.8237i −1.39106 + 1.30474i
\(307\) −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 0.551967 0.833866i \(-0.313877\pi\)
−0.0435831 + 0.999050i \(0.513877\pi\)
\(312\) 33.6438 + 21.3650i 1.90471 + 1.20956i
\(313\) −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
\(315\) −2.46121 8.14197i −0.138674 0.458748i
\(316\) 54.2520 + 17.6275i 3.05191 + 0.991627i
\(317\) 3.06727 + 2.22850i 0.172275 + 0.125165i 0.670582 0.741836i \(-0.266045\pi\)
−0.498306 + 0.867001i \(0.666045\pi\)
\(318\) 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
\(321\) −20.0905 + 1.25801i −1.12134 + 0.0702151i
\(322\) 17.0197 + 5.53005i 0.948472 + 0.308177i
\(323\) −3.08867 9.50594i −0.171858 0.528925i
\(324\) −43.6641 + 11.1559i −2.42579 + 0.619770i
\(325\) −8.22554 + 11.8822i −0.456271 + 0.659105i
\(326\) 0.577672 + 1.77789i 0.0319943 + 0.0984682i
\(327\) −4.67273 11.8122i −0.258403 0.653216i
\(328\) 43.6720 60.1093i 2.41138 3.31898i
\(329\) −6.30770 −0.347755
\(330\) 13.8264 31.0653i 0.761119 1.71009i
\(331\) −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
\(333\) −6.71730 + 12.2016i −0.368106 + 0.668642i
\(334\) −2.61782 8.05683i −0.143241 0.440850i
\(335\) −18.7069 + 19.1385i −1.02206 + 1.04565i
\(336\) 23.5237 + 6.04730i 1.28332 + 0.329907i
\(337\) 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
\(339\) 0.364405 + 5.81959i 0.0197918 + 0.316077i
\(340\) 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
\(345\) 19.0408 + 7.98978i 1.02512 + 0.430155i
\(346\) −36.0480 + 26.1904i −1.93795 + 1.40800i
\(347\) −3.54558 4.88008i −0.190337 0.261976i 0.703174 0.711018i \(-0.251766\pi\)
−0.893511 + 0.449042i \(0.851766\pi\)
\(348\) 13.8487 21.8078i 0.742368 1.16902i
\(349\) −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 \(-0.694989\pi\)
−0.574977 + 0.818170i \(0.694989\pi\)
\(354\) 0.257154 + 4.10678i 0.0136676 + 0.218273i
\(355\) 3.35182 22.8458i 0.177896 1.21253i
\(356\) 35.0724 11.3957i 1.85883 0.603972i
\(357\) −2.29714 + 8.93577i −0.121578 + 0.472931i
\(358\) −39.9203 + 29.0038i −2.10985 + 1.53290i
\(359\) −6.93292 21.3373i −0.365906 1.12614i −0.949412 0.314033i \(-0.898320\pi\)
0.583507 0.812108i \(-0.301680\pi\)
\(360\) 50.4400 + 17.5459i 2.65842 + 0.924750i
\(361\) −10.7918 7.84069i −0.567989 0.412668i
\(362\) 29.2819i 1.53902i
\(363\) 0.374023 + 19.0489i 0.0196311 + 0.999807i
\(364\) 18.3513 0.961870
\(365\) 1.54499 3.11966i 0.0808684 0.163290i
\(366\) 6.40691 2.53448i 0.334895 0.132479i
\(367\) 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
\(369\) 11.9061 + 25.3408i 0.619807 + 1.31919i
\(370\) 24.3425 12.7549i 1.26551 0.663094i
\(371\) 1.55149 4.77500i 0.0805494 0.247906i
\(372\) 2.21646 + 35.3972i 0.114918 + 1.83526i
\(373\) 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
\(375\) −7.08368 + 18.0228i −0.365800 + 0.930694i
\(376\) 23.2783 32.0398i 1.20049 1.65233i
\(377\) 2.66031 8.18760i 0.137013 0.421683i
\(378\) −11.9505 + 12.7033i −0.614667 + 0.653388i
\(379\) −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
\(381\) −2.20191 + 3.46738i −0.112807 + 0.177639i
\(382\) −12.5467 + 38.6149i −0.641947 + 1.97571i
\(383\) −1.41644 1.02911i −0.0723768 0.0525848i 0.551008 0.834500i \(-0.314243\pi\)
−0.623385 + 0.781915i \(0.714243\pi\)
\(384\) −11.1006 + 9.17767i −0.566475 + 0.468346i
\(385\) −1.37765 9.30209i −0.0702114 0.474078i
\(386\) 26.7831i 1.36322i
\(387\) 0.850858 0.798060i 0.0432516 0.0405677i
\(388\) 45.5305 + 14.7937i 2.31146 + 0.751039i
\(389\) 0.426827 0.138685i 0.0216410 0.00703159i −0.298176 0.954511i \(-0.596378\pi\)
0.319817 + 0.947479i \(0.396378\pi\)
\(390\) 29.5301 + 2.46082i 1.49531 + 0.124608i
\(391\) −13.1653 18.1205i −0.665800 0.916395i
\(392\) −40.8270 + 13.2655i −2.06208 + 0.670009i
\(393\) 12.3072 4.86854i 0.620816 0.245585i
\(394\) 34.0465 + 24.7363i 1.71524 + 1.24619i
\(395\) 25.1124 4.27151i 1.26354 0.214923i
\(396\) −49.5559 + 5.15340i −2.49028 + 0.258968i
\(397\) 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
\(399\) −1.92209 4.85884i −0.0962246 0.243246i
\(400\) −33.5145 43.9832i −1.67572 2.19916i
\(401\) −16.5772 22.8166i −0.827827 1.13941i −0.988323 0.152370i \(-0.951309\pi\)
0.160496 0.987036i \(-0.448691\pi\)
\(402\) 53.1476 + 13.6628i 2.65076 + 0.681438i
\(403\) 3.65232 + 11.2407i 0.181935 + 0.559939i
\(404\) −4.14121 + 12.7453i −0.206033 + 0.634104i
\(405\) −14.9589 + 13.4622i −0.743315 + 0.668942i
\(406\) 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
\(411\) 10.8287 17.0521i 0.534139 0.841117i
\(412\) −48.4027 66.6206i −2.38463 3.28216i
\(413\) 0.668869 + 0.920619i 0.0329129 + 0.0453007i
\(414\) −5.28177 42.0099i −0.259585 2.06467i
\(415\) −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 \(0.0598638\pi\)
−0.982367 + 0.186961i \(0.940136\pi\)
\(420\) 23.9374 5.63050i 1.16802 0.274740i
\(421\) −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
\(423\) 6.34626 + 13.5073i 0.308566 + 0.656747i
\(424\) 18.5288 + 25.5027i 0.899838 + 1.23852i
\(425\) 16.7076 12.7309i 0.810436 0.617539i
\(426\) −44.0266 + 17.4163i −2.13309 + 0.843820i
\(427\) 1.11998 1.54152i 0.0541995 0.0745992i
\(428\) 58.1961i 2.81301i
\(429\) −15.5668 + 5.77500i −0.751573 + 0.278820i
\(430\) −2.26911 + 0.385967i −0.109426 + 0.0186130i
\(431\) −2.07686 1.50893i −0.100039 0.0726825i 0.536641 0.843810i \(-0.319693\pi\)
−0.636680 + 0.771128i \(0.719693\pi\)
\(432\) −10.7179 56.4579i −0.515664 2.71633i
\(433\) 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
\(435\) 0.957999 11.4961i 0.0459325 0.551196i
\(436\) 34.9269 11.3485i 1.67270 0.543492i
\(437\) 12.0641 + 3.91987i 0.577105 + 0.187513i
\(438\) −7.12431 + 0.446102i −0.340412 + 0.0213156i
\(439\) 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 \(-0.684780\pi\)
0.935200 0.354121i \(-0.115220\pi\)
\(444\) −33.9926 21.5865i −1.61322 1.02445i
\(445\) 11.5108 11.7764i 0.545665 0.558254i
\(446\) 25.2501 18.3453i 1.19563 0.868674i
\(447\) −14.7215 + 23.1822i −0.696303 + 1.09648i
\(448\) −5.18404 + 15.9548i −0.244923 + 0.753795i
\(449\) −6.11922 + 8.42238i −0.288784 + 0.397477i −0.928619 0.371036i \(-0.879003\pi\)
0.639835 + 0.768512i \(0.279003\pi\)
\(450\) 39.2739 5.85047i 1.85139 0.275794i
\(451\) 8.93147 + 29.6368i 0.420566 + 1.39554i
\(452\) −16.8576 −0.792914
\(453\) −34.6967 + 2.17260i −1.63019 + 0.102078i
\(454\) −8.93443 + 27.4974i −0.419314 + 1.29051i
\(455\) 7.25872 3.80339i 0.340294 0.178305i
\(456\) 31.7738 + 8.16816i 1.48794 + 0.382509i
\(457\) 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
\(459\) 21.4462 4.07131i 1.00102 0.190033i
\(460\) −26.4937 + 53.4964i −1.23528 + 2.49428i
\(461\) −6.42353 −0.299173 −0.149587 0.988749i \(-0.547794\pi\)
−0.149587 + 0.988749i \(0.547794\pi\)
\(462\) −15.1206 + 11.9647i −0.703474 + 0.556647i
\(463\) 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
\(465\) 8.21291 + 13.5417i 0.380865 + 0.627982i
\(466\) 6.53598 + 20.1157i 0.302773 + 0.931840i
\(467\) 20.4128 14.8308i 0.944593 0.686287i −0.00492904 0.999988i \(-0.501569\pi\)
0.949522 + 0.313701i \(0.101569\pi\)
\(468\) −18.4635 39.2975i −0.853477 1.81653i
\(469\) 14.4330 4.68957i 0.666455 0.216544i
\(470\) 4.27439 29.1340i 0.197163 1.34385i
\(471\) 34.4871 2.15948i 1.58908 0.0995035i
\(472\) −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
\(477\) −11.7861 + 1.48184i −0.539651 + 0.0678486i
\(478\) 26.2835 + 36.1761i 1.20218 + 1.65466i
\(479\) 7.26988 5.28187i 0.332169 0.241335i −0.409181 0.912453i \(-0.634186\pi\)
0.741350 + 0.671118i \(0.234186\pi\)
\(480\) −20.0115 + 47.6902i −0.913394 + 2.17675i
\(481\) −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
\(486\) 39.2264 + 12.8098i 1.77935 + 0.581063i
\(487\) −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
\(489\) 0.304537 1.18463i 0.0137716 0.0535710i
\(490\) −22.3105 + 22.8252i −1.00788 + 1.03114i
\(491\) 10.2006 + 31.3941i 0.460345 + 1.41680i 0.864744 + 0.502214i \(0.167481\pi\)
−0.404399 + 0.914583i \(0.632519\pi\)
\(492\) −75.2689 + 29.7752i −3.39338 + 1.34237i
\(493\) −7.35501 + 10.1233i −0.331253 + 0.455930i
\(494\) 18.2035 0.819012
\(495\) −18.5334 + 12.3091i −0.833015 + 0.553251i
\(496\) −45.2246 −2.03064
\(497\) −7.69618 + 10.5929i −0.345221 + 0.475156i
\(498\) 12.2681 4.85310i 0.549749 0.217472i
\(499\) 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
\(501\) −1.38006 + 5.36838i −0.0616566 + 0.239841i
\(502\) −5.24411 16.1397i −0.234056 0.720351i
\(503\) 21.9129 + 7.11992i 0.977046 + 0.317461i 0.753657 0.657268i \(-0.228288\pi\)
0.223389 + 0.974729i \(0.428288\pi\)
\(504\) −20.7173 22.0879i −0.922822 0.983874i
\(505\) 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 0.534550 0.845137i \(-0.320481\pi\)
−0.0642991 + 0.997931i \(0.520481\pi\)
\(510\) −39.7158 16.6653i −1.75865 0.737953i
\(511\) −1.59706 + 1.16033i −0.0706497 + 0.0513300i
\(512\) 16.6966 + 22.9809i 0.737892 + 1.01562i
\(513\) −8.47088 + 9.00450i −0.373998 + 0.397558i
\(514\) −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
\(519\) 29.0975 1.82199i 1.27724 0.0799766i
\(520\) −7.46879 + 50.9068i −0.327528 + 2.23241i
\(521\) −38.1813 + 12.4059i −1.67275 + 0.543510i −0.983484 0.180995i \(-0.942068\pi\)
−0.689269 + 0.724506i \(0.742068\pi\)
\(522\) −21.4089 + 10.0588i −0.937042 + 0.440260i
\(523\) −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
\(525\) 8.30129 7.18822i 0.362298 0.313720i
\(526\) 61.4929 + 44.6772i 2.68122 + 1.94802i
\(527\) 17.1791i 0.748334i
\(528\) −2.60937 63.4777i −0.113558 2.76251i
\(529\) 5.42586 0.235907
\(530\) 21.0034 + 10.4018i 0.912328 + 0.451825i
\(531\) 1.29845 2.35856i 0.0563481 0.102353i
\(532\) 14.3669 4.66808i 0.622883 0.202387i
\(533\) −21.8229 + 15.8553i −0.945254 + 0.686767i
\(534\) −32.7031 8.40707i −1.41520 0.363809i
\(535\) −12.0614 23.0190i −0.521459 0.995199i
\(536\) −29.4439 + 90.6189i −1.27178 + 3.91414i
\(537\) 32.2231 2.01771i 1.39053 0.0870708i
\(538\) 13.9541 0.601602
\(539\) 5.89003 16.8863i 0.253702 0.727343i
\(540\) −36.1409 45.5945i −1.55526 1.96207i
\(541\) 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
\(543\) −10.2709 + 16.1737i −0.440766 + 0.694081i
\(544\) 45.3853 32.9744i 1.94588 1.41376i
\(545\) 11.4631 11.7276i 0.491024 0.502353i
\(546\) −14.1848 9.00783i −0.607052 0.385500i
\(547\) 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
\(552\) 73.3736 4.59443i 3.12299 0.195552i
\(553\) −13.7377 4.46364i −0.584185 0.189813i
\(554\) 64.5291 20.9668i 2.74158 0.890793i
\(555\) −17.9194 1.49327i −0.760636 0.0633857i
\(556\) 0.374183 + 0.515019i 0.0158689 + 0.0218417i
\(557\) 40.1298 13.0390i 1.70036 0.552479i 0.711674 0.702509i \(-0.247937\pi\)
0.988681 + 0.150030i \(0.0479371\pi\)
\(558\) 15.6616 28.4484i 0.663010 1.20432i
\(559\) 0.909256 + 0.660613i 0.0384574 + 0.0279410i
\(560\) 5.25808 + 30.9124i 0.222194 + 1.30629i
\(561\) 24.1128 0.991203i 1.01804 0.0418486i
\(562\) 47.5129i 2.00421i
\(563\) 23.0999 31.7943i 0.973544 1.33997i 0.0333085 0.999445i \(-0.489396\pi\)
0.940236 0.340524i \(-0.110604\pi\)
\(564\) −40.1203 + 15.8710i −1.68937 + 0.668289i
\(565\) −6.66789 + 3.49380i −0.280520 + 0.146985i
\(566\) 19.6073 + 26.9872i 0.824158 + 1.13436i
\(567\) 11.0566 2.82488i 0.464334 0.118634i
\(568\) −25.4039 78.1852i −1.06592 3.28058i
\(569\) 7.10963 21.8812i 0.298051 0.917308i −0.684128 0.729362i \(-0.739817\pi\)
0.982179 0.187946i \(-0.0601829\pi\)
\(570\) 23.7445 5.58514i 0.994548 0.233936i
\(571\) 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
\(576\) 39.3814 4.95130i 1.64089 0.206304i
\(577\) −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
\(579\) −9.39441 + 14.7935i −0.390418 + 0.614798i
\(580\) 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
\(585\) −15.4477 11.7172i −0.638682 0.484445i
\(586\) 14.0530 43.2508i 0.580525 1.78667i
\(587\) −1.54634 4.75916i −0.0638245 0.196431i 0.914059 0.405581i \(-0.132931\pi\)
−0.977884 + 0.209149i \(0.932931\pi\)
\(588\) 45.2947 + 11.6440i 1.86792 + 0.480191i
\(589\) 5.71866 + 7.87107i 0.235633 + 0.324322i
\(590\) −4.70541 + 2.46551i −0.193719 + 0.101504i
\(591\) −10.1290 25.6051i −0.416651 1.05325i
\(592\) 30.1807 41.5402i 1.24042 1.70729i
\(593\) 1.16438i 0.0478152i −0.999714 0.0239076i \(-0.992389\pi\)
0.999714 0.0239076i \(-0.00761075\pi\)
\(594\) 40.8342 + 20.3414i 1.67545 + 0.834618i
\(595\) −11.7425 + 1.99735i −0.481394 + 0.0818832i
\(596\) −64.2296 46.6655i −2.63095 1.91149i
\(597\) −1.58236 + 0.625959i −0.0647618 + 0.0256188i
\(598\) 38.7958 12.6055i 1.58648 0.515478i
\(599\) −15.8861 21.8654i −0.649090 0.893395i 0.349970 0.936761i \(-0.386192\pi\)
−0.999059 + 0.0433657i \(0.986192\pi\)
\(600\) 5.87684 + 68.6941i 0.239921 + 2.80442i
\(601\) −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
\(603\) −24.5635 26.1886i −1.00030 1.06648i
\(604\) 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
\(609\) −3.50676 + 5.52215i −0.142101 + 0.223769i
\(610\) 6.36100 + 6.21755i 0.257549 + 0.251741i
\(611\) −11.6322 + 8.45127i −0.470587 + 0.341902i
\(612\) 7.87253 + 62.6161i 0.318228 + 2.53111i
\(613\) 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
\(615\) −23.6010 + 27.3772i −0.951684 + 1.10395i
\(616\) −19.0933 27.5014i −0.769289 1.10806i
\(617\) 44.9142 1.80818 0.904089 0.427344i \(-0.140551\pi\)
0.904089 + 0.427344i \(0.140551\pi\)
\(618\) 4.71215 + 75.2536i 0.189551 + 3.02714i
\(619\) 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
\(621\) −11.8180 + 25.0566i −0.474239 + 1.00549i
\(622\) 20.1884 14.6677i 0.809482 0.588123i
\(623\) −8.88101 + 2.88562i −0.355810 + 0.115610i
\(624\) 51.4830 20.3659i 2.06097 0.815288i
\(625\) −24.9740 + 1.13999i −0.998960 + 0.0455997i
\(626\) −69.8083 −2.79010
\(627\) −10.7180 + 8.48092i −0.428034 + 0.338695i
\(628\) 99.8987i 3.98639i
\(629\) 15.7796 + 11.4645i 0.629172 + 0.457120i
\(630\) −21.2663 7.39763i −0.847270 0.294729i
\(631\) −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
\(633\) 7.60932 29.5999i 0.302444 1.17649i
\(634\) 9.54509 3.10139i 0.379084 0.123172i
\(635\) −5.24653 0.769745i −0.208202 0.0305464i
\(636\) −2.14621 34.2753i −0.0851028 1.35910i
\(637\) 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 0.859018 0.511945i \(-0.171075\pi\)
0.394046 + 0.919091i \(0.371075\pi\)
\(642\) −28.5658 + 44.9831i −1.12740 + 1.77534i
\(643\) −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
\(645\) 1.38872 + 0.582725i 0.0546806 + 0.0229448i
\(646\) −25.1637 8.17618i −0.990052 0.321687i
\(647\) −28.9109 21.0050i −1.13660 0.825792i −0.149962 0.988692i \(-0.547915\pi\)
−0.986643 + 0.162900i \(0.947915\pi\)
\(648\) −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
\(651\) −0.561251 8.96325i −0.0219972 0.351297i
\(652\) 3.36310 + 1.09274i 0.131709 + 0.0427949i
\(653\) −1.18766 3.65525i −0.0464768 0.143041i 0.925125 0.379662i \(-0.123960\pi\)
−0.971602 + 0.236622i \(0.923960\pi\)
\(654\) −32.5675 8.37220i −1.27349 0.327379i
\(655\) 12.2190 + 11.9434i 0.477436 + 0.466669i
\(656\) −31.8951 98.1632i −1.24530 3.83263i
\(657\) 4.09155 + 2.25251i 0.159627 + 0.0878789i
\(658\) −9.81451 + 13.5085i −0.382609 + 0.526616i
\(659\) 7.60622 0.296296 0.148148 0.988965i \(-0.452669\pi\)
0.148148 + 0.988965i \(0.452669\pi\)
\(660\) −32.1678 55.6999i −1.25213 2.16811i
\(661\) 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
\(663\) 7.73624 + 19.5564i 0.300451 + 0.759510i
\(664\) 7.07888 + 21.7866i 0.274714 + 0.845482i
\(665\) 4.71523 4.82402i 0.182849 0.187068i
\(666\) 15.6790 + 33.3708i 0.607547 + 1.29309i
\(667\) −4.90735 15.1033i −0.190013 0.584800i
\(668\) −15.2405 4.95193i −0.589672 0.191596i
\(669\) −20.3816 + 1.27623i −0.787997 + 0.0493420i
\(670\) 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
\(675\) −23.7449 10.5442i −0.913941 0.405847i
\(676\) −18.8220 + 13.6750i −0.723923 + 0.525961i
\(677\) −15.0828 20.7597i −0.579678 0.797859i 0.413982 0.910285i \(-0.364138\pi\)
−0.993660 + 0.112426i \(0.964138\pi\)
\(678\) 13.0302 + 8.27463i 0.500421 + 0.317785i
\(679\) −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 \(-0.520905\pi\)
−0.0656288 + 0.997844i \(0.520905\pi\)
\(684\) −24.4510 26.0686i −0.934906 0.996757i
\(685\) 25.8017 + 3.78549i 0.985830 + 0.144636i
\(686\) 39.5590 12.8535i 1.51037 0.490749i
\(687\) 6.14868 + 1.58066i 0.234587 + 0.0603058i
\(688\) −3.47915 + 2.52775i −0.132642 + 0.0963697i
\(689\) −3.53656 10.8844i −0.134732 0.414664i
\(690\) 46.7375 28.3458i 1.77927 1.07911i
\(691\) 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
\(693\) 12.5485 1.30494i 0.476679 0.0495706i
\(694\) −15.9679 −0.606134
\(695\) 0.254745 + 0.126161i 0.00966303 + 0.00478555i
\(696\) −15.1081 38.1918i −0.572671 1.44766i
\(697\) 37.2885 12.1158i 1.41240 0.458917i
\(698\) −9.29321 + 6.75191i −0.351753 + 0.255564i
\(699\) 3.44563 13.4034i 0.130326 0.506962i
\(700\) 19.2409 + 25.2511i 0.727239 + 0.954403i
\(701\) −12.8349 + 39.5018i −0.484768 + 1.49196i 0.347549 + 0.937662i \(0.387014\pi\)
−0.832317 + 0.554301i \(0.812986\pi\)
\(702\) −5.01785 + 39.4382i −0.189386 + 1.48850i
\(703\) −11.0462 −0.416615
\(704\) 43.8704 + 0.941228i 1.65343 + 0.0354739i
\(705\) −12.5799 + 14.5927i −0.473788 + 0.549594i
\(706\) −33.6175 + 46.2705i −1.26521 + 1.74141i
\(707\) 1.04863 3.22737i 0.0394380 0.121378i
\(708\) 6.57076 + 4.17266i 0.246944 + 0.156818i
\(709\) −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
\(711\) 4.26324 + 33.9087i 0.159884 + 1.27168i
\(712\) 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
\(717\) −1.82847 29.2009i −0.0682856 1.09053i
\(718\) −56.4832 18.3525i −2.10793 0.684909i
\(719\) −34.6890 + 11.2711i −1.29368 + 0.420342i −0.873378 0.487043i \(-0.838076\pi\)
−0.420301 + 0.907385i \(0.638076\pi\)
\(720\) 60.9055 42.3610i 2.26981 1.57870i
\(721\) 12.2565 + 16.8696i 0.456456 + 0.628258i
\(722\) −33.5831 + 10.9118i −1.24983 + 0.406096i
\(723\) 6.29959 + 15.9248i 0.234284 + 0.592248i
\(724\) −44.8117 32.5576i −1.66541 1.20999i
\(725\) 14.0553 4.92396i 0.522000 0.182871i
\(726\) 41.3769 + 28.8382i 1.53564 + 1.07029i
\(727\) 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
\(729\) −17.1734 20.8344i −0.636052 0.771646i
\(730\) −4.27709 8.16278i −0.158302 0.302118i
\(731\) −0.960199 1.32160i −0.0355142 0.0488811i
\(732\) 3.24499 12.6229i 0.119938 0.466554i
\(733\) −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
\(735\) 20.3292 4.78181i 0.749855 0.176380i
\(736\) 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
\(741\) −10.0546 6.38503i −0.369365 0.234560i
\(742\) −7.81204 10.7524i −0.286789 0.394731i
\(743\) 12.5884 + 17.3265i 0.461824 + 0.635647i 0.974886 0.222705i \(-0.0714888\pi\)
−0.513062 + 0.858352i \(0.671489\pi\)
\(744\) 47.5999 + 30.2276i 1.74510 + 1.10820i
\(745\) −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
\(750\) 27.5756 + 43.2131i 1.00692 + 1.57792i
\(751\) 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
\(753\) −2.76459 + 10.7541i −0.100747 + 0.391902i
\(754\) −13.3952 18.4369i −0.487823 0.671431i
\(755\) −20.8302 39.7543i −0.758090 1.44681i
\(756\) 6.15321 + 32.4129i 0.223790 + 1.17885i
\(757\) −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
\(759\) −16.9696 + 25.4968i −0.615957 + 0.925475i
\(760\) 7.10215 + 41.7538i 0.257622 + 1.51457i
\(761\) 29.2454 + 21.2480i 1.06015 + 0.770241i 0.974115 0.226052i \(-0.0725819\pi\)
0.0860301 + 0.996293i \(0.472582\pi\)
\(762\) 3.99964 + 10.1107i 0.144891 + 0.366271i
\(763\) −8.84418 + 2.87365i −0.320181 + 0.104033i
\(764\) 45.1442 + 62.1357i 1.63326 + 2.24799i
\(765\) 16.0914 + 23.1357i 0.581785 + 0.836474i
\(766\) −4.40785 + 1.43220i −0.159262 + 0.0517474i
\(767\) 2.46695 + 0.801562i 0.0890765 + 0.0289427i
\(768\) −0.481467 7.68908i −0.0173734 0.277456i
\(769\) 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 \(0.317890\pi\)
−0.932196 + 0.361953i \(0.882110\pi\)
\(774\) −0.385219 3.06394i −0.0138464 0.110131i