Properties

Label 483.2.y.a.163.2
Level $483$
Weight $2$
Character 483.163
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 163.2
Character \(\chi\) \(=\) 483.163
Dual form 483.2.y.a.403.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.95688 + 1.00884i) q^{2} +(0.786053 - 0.618159i) q^{3} +(1.65151 - 2.31922i) q^{4} +(1.06589 - 1.01632i) q^{5} +(-0.914588 + 2.00267i) q^{6} +(-2.60630 + 0.455190i) q^{7} +(-0.265434 + 1.84614i) q^{8} +(0.235759 - 0.971812i) q^{9} +O(q^{10})\) \(q+(-1.95688 + 1.00884i) q^{2} +(0.786053 - 0.618159i) q^{3} +(1.65151 - 2.31922i) q^{4} +(1.06589 - 1.01632i) q^{5} +(-0.914588 + 2.00267i) q^{6} +(-2.60630 + 0.455190i) q^{7} +(-0.265434 + 1.84614i) q^{8} +(0.235759 - 0.971812i) q^{9} +(-1.06051 + 3.06413i) q^{10} +(-4.31064 - 2.22229i) q^{11} +(-0.135473 - 2.84393i) q^{12} +(0.00937255 + 0.0108165i) q^{13} +(4.64101 - 3.52010i) q^{14} +(0.209596 - 1.45777i) q^{15} +(0.519389 + 1.50068i) q^{16} +(-6.37732 + 0.608960i) q^{17} +(0.519053 + 2.13957i) q^{18} +(2.21412 + 0.211423i) q^{19} +(-0.596751 - 4.15049i) q^{20} +(-1.76731 + 1.96891i) q^{21} +10.6774 q^{22} +(-3.89893 + 2.79256i) q^{23} +(0.932560 + 1.61524i) q^{24} +(-0.134703 + 2.82777i) q^{25} +(-0.0292531 - 0.0117112i) q^{26} +(-0.415415 - 0.909632i) q^{27} +(-3.24865 + 6.79635i) q^{28} +(-2.06997 + 4.53261i) q^{29} +(1.06051 + 3.06413i) q^{30} +(-1.79625 + 0.719111i) q^{31} +(-5.23003 - 4.98683i) q^{32} +(-4.76212 + 0.917823i) q^{33} +(11.8653 - 7.62538i) q^{34} +(-2.31540 + 3.13402i) q^{35} +(-1.86449 - 2.15174i) q^{36} +(-1.71760 + 7.08003i) q^{37} +(-4.54606 + 1.81997i) q^{38} +(0.0140536 + 0.00270862i) q^{39} +(1.59334 + 2.23754i) q^{40} +(0.552530 + 0.162238i) q^{41} +(1.47210 - 5.63587i) q^{42} +(-0.926149 - 6.44151i) q^{43} +(-12.2731 + 6.32720i) q^{44} +(-0.736380 - 1.27545i) q^{45} +(4.81249 - 9.39811i) q^{46} +(4.26423 - 7.38586i) q^{47} +(1.33592 + 0.858547i) q^{48} +(6.58560 - 2.37272i) q^{49} +(-2.58918 - 5.66952i) q^{50} +(-4.63648 + 4.42087i) q^{51} +(0.0405648 - 0.00387347i) q^{52} +(-7.47819 - 1.44130i) q^{53} +(1.73059 + 1.36095i) q^{54} +(-6.85321 + 2.01228i) q^{55} +(-0.148541 - 4.93241i) q^{56} +(1.87111 - 1.20249i) q^{57} +(-0.521997 - 10.9581i) q^{58} +(2.85866 - 8.25956i) q^{59} +(-3.03474 - 2.89362i) q^{60} +(-12.0498 - 9.47609i) q^{61} +(2.78959 - 3.21935i) q^{62} +(-0.172100 + 2.64015i) q^{63} +(12.2181 + 3.58756i) q^{64} +(0.0209831 + 0.00200364i) q^{65} +(8.39297 - 6.60030i) q^{66} +(0.544298 - 11.4262i) q^{67} +(-9.11990 + 15.7961i) q^{68} +(-1.33852 + 4.60525i) q^{69} +(1.36924 - 8.46878i) q^{70} +(0.131572 + 0.0845563i) q^{71} +(1.73152 + 0.693195i) q^{72} +(-8.98476 + 12.6173i) q^{73} +(-3.78151 - 15.5876i) q^{74} +(1.64213 + 2.30605i) q^{75} +(4.14698 - 4.78587i) q^{76} +(12.2464 + 3.82979i) q^{77} +(-0.0302339 + 0.00887747i) q^{78} +(2.37511 - 0.457766i) q^{79} +(2.07878 + 1.07168i) q^{80} +(-0.888835 - 0.458227i) q^{81} +(-1.24491 + 0.239937i) q^{82} +(5.96115 - 1.75035i) q^{83} +(1.64761 + 7.35047i) q^{84} +(-6.17860 + 7.13048i) q^{85} +(8.31084 + 11.6709i) q^{86} +(1.17476 + 4.84245i) q^{87} +(5.24684 - 7.36815i) q^{88} +(2.66765 + 1.06796i) q^{89} +(2.72774 + 1.75301i) q^{90} +(-0.0293512 - 0.0239248i) q^{91} +(0.0374431 + 13.6544i) q^{92} +(-0.967425 + 1.67563i) q^{93} +(-0.893421 + 18.7552i) q^{94} +(2.57487 - 2.02490i) q^{95} +(-7.19373 - 0.686918i) q^{96} +(2.75569 + 0.809143i) q^{97} +(-10.4935 + 11.2870i) q^{98} +(-3.17592 + 3.66520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.95688 + 1.00884i −1.38373 + 0.713360i −0.979527 0.201312i \(-0.935480\pi\)
−0.404198 + 0.914672i \(0.632449\pi\)
\(3\) 0.786053 0.618159i 0.453828 0.356894i
\(4\) 1.65151 2.31922i 0.825756 1.15961i
\(5\) 1.06589 1.01632i 0.476679 0.454512i −0.413246 0.910619i \(-0.635605\pi\)
0.889925 + 0.456107i \(0.150757\pi\)
\(6\) −0.914588 + 2.00267i −0.373379 + 0.817586i
\(7\) −2.60630 + 0.455190i −0.985089 + 0.172046i
\(8\) −0.265434 + 1.84614i −0.0938451 + 0.652707i
\(9\) 0.235759 0.971812i 0.0785863 0.323937i
\(10\) −1.06051 + 3.06413i −0.335362 + 0.968964i
\(11\) −4.31064 2.22229i −1.29971 0.670045i −0.337233 0.941421i \(-0.609491\pi\)
−0.962473 + 0.271376i \(0.912521\pi\)
\(12\) −0.135473 2.84393i −0.0391077 0.820972i
\(13\) 0.00937255 + 0.0108165i 0.00259948 + 0.00299996i 0.757048 0.653359i \(-0.226641\pi\)
−0.754448 + 0.656359i \(0.772096\pi\)
\(14\) 4.64101 3.52010i 1.24036 0.940787i
\(15\) 0.209596 1.45777i 0.0541173 0.376394i
\(16\) 0.519389 + 1.50068i 0.129847 + 0.375169i
\(17\) −6.37732 + 0.608960i −1.54673 + 0.147695i −0.833215 0.552949i \(-0.813502\pi\)
−0.713512 + 0.700643i \(0.752896\pi\)
\(18\) 0.519053 + 2.13957i 0.122342 + 0.504300i
\(19\) 2.21412 + 0.211423i 0.507953 + 0.0485037i 0.345887 0.938276i \(-0.387578\pi\)
0.162066 + 0.986780i \(0.448184\pi\)
\(20\) −0.596751 4.15049i −0.133438 0.928079i
\(21\) −1.76731 + 1.96891i −0.385659 + 0.429652i
\(22\) 10.6774 2.27642
\(23\) −3.89893 + 2.79256i −0.812982 + 0.582288i
\(24\) 0.932560 + 1.61524i 0.190358 + 0.329710i
\(25\) −0.134703 + 2.82777i −0.0269407 + 0.565555i
\(26\) −0.0292531 0.0117112i −0.00573701 0.00229675i
\(27\) −0.415415 0.909632i −0.0799467 0.175059i
\(28\) −3.24865 + 6.79635i −0.613937 + 1.28439i
\(29\) −2.06997 + 4.53261i −0.384385 + 0.841685i 0.614233 + 0.789125i \(0.289465\pi\)
−0.998618 + 0.0525603i \(0.983262\pi\)
\(30\) 1.06051 + 3.06413i 0.193621 + 0.559431i
\(31\) −1.79625 + 0.719111i −0.322617 + 0.129156i −0.527317 0.849668i \(-0.676802\pi\)
0.204701 + 0.978825i \(0.434378\pi\)
\(32\) −5.23003 4.98683i −0.924548 0.881555i
\(33\) −4.76212 + 0.917823i −0.828978 + 0.159772i
\(34\) 11.8653 7.62538i 2.03489 1.30774i
\(35\) −2.31540 + 3.13402i −0.391374 + 0.529746i
\(36\) −1.86449 2.15174i −0.310748 0.358623i
\(37\) −1.71760 + 7.08003i −0.282371 + 1.16395i 0.637096 + 0.770784i \(0.280135\pi\)
−0.919468 + 0.393166i \(0.871380\pi\)
\(38\) −4.54606 + 1.81997i −0.737468 + 0.295238i
\(39\) 0.0140536 + 0.00270862i 0.00225038 + 0.000433726i
\(40\) 1.59334 + 2.23754i 0.251930 + 0.353785i
\(41\) 0.552530 + 0.162238i 0.0862908 + 0.0253373i 0.324593 0.945854i \(-0.394773\pi\)
−0.238302 + 0.971191i \(0.576591\pi\)
\(42\) 1.47210 5.63587i 0.227149 0.869633i
\(43\) −0.926149 6.44151i −0.141236 0.982321i −0.929983 0.367602i \(-0.880179\pi\)
0.788747 0.614718i \(-0.210730\pi\)
\(44\) −12.2731 + 6.32720i −1.85023 + 0.953861i
\(45\) −0.736380 1.27545i −0.109773 0.190132i
\(46\) 4.81249 9.39811i 0.709563 1.38568i
\(47\) 4.26423 7.38586i 0.622002 1.07734i −0.367111 0.930177i \(-0.619653\pi\)
0.989112 0.147161i \(-0.0470137\pi\)
\(48\) 1.33592 + 0.858547i 0.192824 + 0.123921i
\(49\) 6.58560 2.37272i 0.940801 0.338961i
\(50\) −2.58918 5.66952i −0.366165 0.801791i
\(51\) −4.63648 + 4.42087i −0.649237 + 0.619046i
\(52\) 0.0405648 0.00387347i 0.00562532 0.000537153i
\(53\) −7.47819 1.44130i −1.02721 0.197978i −0.352306 0.935885i \(-0.614602\pi\)
−0.674903 + 0.737907i \(0.735814\pi\)
\(54\) 1.73059 + 1.36095i 0.235504 + 0.185202i
\(55\) −6.85321 + 2.01228i −0.924086 + 0.271336i
\(56\) −0.148541 4.93241i −0.0198497 0.659120i
\(57\) 1.87111 1.20249i 0.247834 0.159273i
\(58\) −0.521997 10.9581i −0.0685416 1.43887i
\(59\) 2.85866 8.25956i 0.372166 1.07530i −0.591064 0.806625i \(-0.701292\pi\)
0.963230 0.268679i \(-0.0865870\pi\)
\(60\) −3.03474 2.89362i −0.391784 0.373565i
\(61\) −12.0498 9.47609i −1.54282 1.21329i −0.890168 0.455632i \(-0.849413\pi\)
−0.652654 0.757656i \(-0.726344\pi\)
\(62\) 2.78959 3.21935i 0.354278 0.408858i
\(63\) −0.172100 + 2.64015i −0.0216825 + 0.332627i
\(64\) 12.2181 + 3.58756i 1.52726 + 0.448445i
\(65\) 0.0209831 + 0.00200364i 0.00260263 + 0.000248521i
\(66\) 8.39297 6.60030i 1.03310 0.812441i
\(67\) 0.544298 11.4262i 0.0664966 1.39593i −0.681299 0.732006i \(-0.738585\pi\)
0.747795 0.663929i \(-0.231112\pi\)
\(68\) −9.11990 + 15.7961i −1.10595 + 1.91556i
\(69\) −1.33852 + 4.60525i −0.161139 + 0.554407i
\(70\) 1.36924 8.46878i 0.163655 1.01221i
\(71\) 0.131572 + 0.0845563i 0.0156147 + 0.0100350i 0.548425 0.836200i \(-0.315228\pi\)
−0.532810 + 0.846235i \(0.678864\pi\)
\(72\) 1.73152 + 0.693195i 0.204061 + 0.0816938i
\(73\) −8.98476 + 12.6173i −1.05159 + 1.47675i −0.181789 + 0.983338i \(0.558189\pi\)
−0.869797 + 0.493409i \(0.835751\pi\)
\(74\) −3.78151 15.5876i −0.439591 1.81202i
\(75\) 1.64213 + 2.30605i 0.189617 + 0.266279i
\(76\) 4.14698 4.78587i 0.475691 0.548977i
\(77\) 12.2464 + 3.82979i 1.39560 + 0.436445i
\(78\) −0.0302339 + 0.00887747i −0.00342331 + 0.00100518i
\(79\) 2.37511 0.457766i 0.267221 0.0515026i −0.0538805 0.998547i \(-0.517159\pi\)
0.321102 + 0.947045i \(0.395947\pi\)
\(80\) 2.07878 + 1.07168i 0.232415 + 0.119818i
\(81\) −0.888835 0.458227i −0.0987595 0.0509141i
\(82\) −1.24491 + 0.239937i −0.137477 + 0.0264966i
\(83\) 5.96115 1.75035i 0.654321 0.192126i 0.0623115 0.998057i \(-0.480153\pi\)
0.592010 + 0.805931i \(0.298335\pi\)
\(84\) 1.64761 + 7.35047i 0.179769 + 0.802002i
\(85\) −6.17860 + 7.13048i −0.670163 + 0.773409i
\(86\) 8.31084 + 11.6709i 0.896181 + 1.25851i
\(87\) 1.17476 + 4.84245i 0.125948 + 0.519165i
\(88\) 5.24684 7.36815i 0.559315 0.785447i
\(89\) 2.66765 + 1.06796i 0.282770 + 0.113204i 0.508712 0.860937i \(-0.330122\pi\)
−0.225942 + 0.974141i \(0.572546\pi\)
\(90\) 2.72774 + 1.75301i 0.287529 + 0.184783i
\(91\) −0.0293512 0.0239248i −0.00307685 0.00250800i
\(92\) 0.0374431 + 13.6544i 0.00390371 + 1.42357i
\(93\) −0.967425 + 1.67563i −0.100317 + 0.173755i
\(94\) −0.893421 + 18.7552i −0.0921493 + 1.93445i
\(95\) 2.57487 2.02490i 0.264176 0.207750i
\(96\) −7.19373 0.686918i −0.734207 0.0701083i
\(97\) 2.75569 + 0.809143i 0.279798 + 0.0821561i 0.418621 0.908161i \(-0.362514\pi\)
−0.138823 + 0.990317i \(0.544332\pi\)
\(98\) −10.4935 + 11.2870i −1.06001 + 1.14016i
\(99\) −3.17592 + 3.66520i −0.319192 + 0.368367i
\(100\) 6.33578 + 4.98251i 0.633578 + 0.498251i
\(101\) 0.0191836 + 0.0182915i 0.00190884 + 0.00182007i 0.691033 0.722823i \(-0.257156\pi\)
−0.689124 + 0.724643i \(0.742004\pi\)
\(102\) 4.61308 13.3286i 0.456763 1.31973i
\(103\) −0.260731 5.47341i −0.0256906 0.539312i −0.974626 0.223841i \(-0.928141\pi\)
0.948935 0.315471i \(-0.102163\pi\)
\(104\) −0.0224565 + 0.0144319i −0.00220204 + 0.00141517i
\(105\) 0.117293 + 3.89479i 0.0114466 + 0.380093i
\(106\) 16.0880 4.72386i 1.56260 0.458822i
\(107\) −11.4572 9.01001i −1.10761 0.871031i −0.115115 0.993352i \(-0.536724\pi\)
−0.992491 + 0.122321i \(0.960966\pi\)
\(108\) −2.79570 0.538828i −0.269017 0.0518487i
\(109\) 5.32222 0.508210i 0.509776 0.0486777i 0.163001 0.986626i \(-0.447883\pi\)
0.346775 + 0.937948i \(0.387277\pi\)
\(110\) 11.3808 10.8516i 1.08512 1.03466i
\(111\) 3.02646 + 6.62703i 0.287259 + 0.629010i
\(112\) −2.03678 3.67479i −0.192457 0.347235i
\(113\) −5.26070 3.38085i −0.494885 0.318044i 0.269282 0.963061i \(-0.413214\pi\)
−0.764168 + 0.645018i \(0.776850\pi\)
\(114\) −2.44842 + 4.24078i −0.229315 + 0.397185i
\(115\) −1.31768 + 6.93911i −0.122874 + 0.647075i
\(116\) 7.09356 + 12.2864i 0.658620 + 1.14076i
\(117\) 0.0127213 0.00655827i 0.00117608 0.000606312i
\(118\) 2.73854 + 19.0469i 0.252103 + 1.75341i
\(119\) 16.3440 4.49003i 1.49825 0.411600i
\(120\) 2.63560 + 0.773883i 0.240597 + 0.0706456i
\(121\) 7.26241 + 10.1986i 0.660219 + 0.927148i
\(122\) 33.1400 + 6.38721i 3.00035 + 0.578271i
\(123\) 0.534607 0.214024i 0.0482039 0.0192979i
\(124\) −1.29875 + 5.35353i −0.116631 + 0.480762i
\(125\) 7.55261 + 8.71617i 0.675526 + 0.779598i
\(126\) −2.32672 5.34008i −0.207280 0.475732i
\(127\) −8.48625 + 5.45378i −0.753033 + 0.483945i −0.859985 0.510319i \(-0.829527\pi\)
0.106952 + 0.994264i \(0.465891\pi\)
\(128\) −13.3370 + 2.57049i −1.17883 + 0.227201i
\(129\) −4.70988 4.49086i −0.414682 0.395398i
\(130\) −0.0430828 + 0.0172478i −0.00377861 + 0.00151273i
\(131\) 4.61691 + 13.3397i 0.403381 + 1.16549i 0.945621 + 0.325270i \(0.105455\pi\)
−0.542240 + 0.840224i \(0.682424\pi\)
\(132\) −5.73606 + 12.5602i −0.499260 + 1.09323i
\(133\) −5.86689 + 0.456814i −0.508724 + 0.0396108i
\(134\) 10.4621 + 22.9089i 0.903791 + 1.97903i
\(135\) −1.36726 0.547369i −0.117675 0.0471101i
\(136\) 0.568536 11.9350i 0.0487515 1.02342i
\(137\) 10.5731 + 18.3132i 0.903322 + 1.56460i 0.823154 + 0.567818i \(0.192212\pi\)
0.0801683 + 0.996781i \(0.474454\pi\)
\(138\) −2.02666 10.3623i −0.172520 0.882097i
\(139\) 4.58565 0.388950 0.194475 0.980908i \(-0.437700\pi\)
0.194475 + 0.980908i \(0.437700\pi\)
\(140\) 3.44458 + 10.5458i 0.291120 + 0.891283i
\(141\) −1.21373 8.44165i −0.102214 0.710915i
\(142\) −0.342775 0.0327311i −0.0287651 0.00274673i
\(143\) −0.0163643 0.0674545i −0.00136845 0.00564083i
\(144\) 1.58083 0.150951i 0.131735 0.0125792i
\(145\) 2.40023 + 6.93501i 0.199328 + 0.575921i
\(146\) 4.85321 33.7549i 0.401655 2.79357i
\(147\) 3.70991 5.93604i 0.305988 0.489596i
\(148\) 13.5836 + 15.6763i 1.11656 + 1.28858i
\(149\) −0.899101 18.8744i −0.0736572 1.54626i −0.669292 0.743000i \(-0.733402\pi\)
0.595635 0.803256i \(-0.296901\pi\)
\(150\) −5.53990 2.85601i −0.452331 0.233193i
\(151\) 2.98682 8.62986i 0.243064 0.702288i −0.755807 0.654794i \(-0.772755\pi\)
0.998872 0.0474938i \(-0.0151234\pi\)
\(152\) −0.978017 + 4.03144i −0.0793277 + 0.326993i
\(153\) −0.911715 + 6.34112i −0.0737078 + 0.512649i
\(154\) −27.8284 + 4.86023i −2.24248 + 0.391648i
\(155\) −1.18375 + 2.59206i −0.0950814 + 0.208199i
\(156\) 0.0294916 0.0281202i 0.00236122 0.00225142i
\(157\) 8.56942 12.0341i 0.683914 0.960423i −0.316018 0.948753i \(-0.602346\pi\)
0.999932 0.0116694i \(-0.00371458\pi\)
\(158\) −4.18600 + 3.29191i −0.333021 + 0.261890i
\(159\) −6.76921 + 3.48977i −0.536833 + 0.276757i
\(160\) −10.6428 −0.841390
\(161\) 8.89063 9.05300i 0.700680 0.713476i
\(162\) 2.20163 0.172976
\(163\) −4.18194 + 2.15594i −0.327555 + 0.168866i −0.614158 0.789183i \(-0.710504\pi\)
0.286603 + 0.958049i \(0.407474\pi\)
\(164\) 1.28878 1.01350i 0.100637 0.0791414i
\(165\) −4.14307 + 5.81813i −0.322538 + 0.452941i
\(166\) −9.89945 + 9.43910i −0.768346 + 0.732616i
\(167\) −5.71345 + 12.5107i −0.442120 + 0.968108i 0.549084 + 0.835767i \(0.314977\pi\)
−0.991204 + 0.132341i \(0.957751\pi\)
\(168\) −3.16577 3.78531i −0.244245 0.292043i
\(169\) 1.85006 12.8675i 0.142313 0.989806i
\(170\) 4.89725 20.1868i 0.375602 1.54825i
\(171\) 0.727461 2.10186i 0.0556303 0.160733i
\(172\) −16.4688 8.49028i −1.25574 0.647378i
\(173\) 0.328278 + 6.89140i 0.0249585 + 0.523944i 0.976381 + 0.216056i \(0.0693192\pi\)
−0.951423 + 0.307888i \(0.900378\pi\)
\(174\) −7.18415 8.29095i −0.544629 0.628535i
\(175\) −0.936097 7.43134i −0.0707623 0.561757i
\(176\) 1.09604 7.62311i 0.0826169 0.574613i
\(177\) −2.85866 8.25956i −0.214870 0.620827i
\(178\) −6.29768 + 0.601356i −0.472031 + 0.0450735i
\(179\) −3.01347 12.4217i −0.225237 0.928439i −0.966385 0.257098i \(-0.917234\pi\)
0.741148 0.671341i \(-0.234282\pi\)
\(180\) −4.17419 0.398587i −0.311126 0.0297089i
\(181\) −2.18730 15.2130i −0.162581 1.13077i −0.893746 0.448573i \(-0.851933\pi\)
0.731166 0.682200i \(-0.238977\pi\)
\(182\) 0.0815733 + 0.0172071i 0.00604661 + 0.00127548i
\(183\) −15.3295 −1.13319
\(184\) −4.12053 7.93918i −0.303769 0.585284i
\(185\) 5.36482 + 9.29214i 0.394429 + 0.683172i
\(186\) 0.202690 4.25499i 0.0148620 0.311991i
\(187\) 28.8436 + 11.5472i 2.10925 + 0.844417i
\(188\) −10.0870 22.0875i −0.735673 1.61090i
\(189\) 1.49675 + 2.18168i 0.108873 + 0.158694i
\(190\) −2.99591 + 6.56013i −0.217346 + 0.475922i
\(191\) 6.67105 + 19.2747i 0.482700 + 1.39467i 0.879120 + 0.476601i \(0.158131\pi\)
−0.396420 + 0.918069i \(0.629747\pi\)
\(192\) 11.8218 4.73272i 0.853162 0.341555i
\(193\) 1.89849 + 1.81020i 0.136656 + 0.130301i 0.755325 0.655351i \(-0.227479\pi\)
−0.618669 + 0.785652i \(0.712328\pi\)
\(194\) −6.20886 + 1.19666i −0.445770 + 0.0859152i
\(195\) 0.0177324 0.0113959i 0.00126984 0.000816079i
\(196\) 5.37332 19.1921i 0.383809 1.37086i
\(197\) 2.15435 + 2.48625i 0.153491 + 0.177138i 0.827287 0.561779i \(-0.189883\pi\)
−0.673796 + 0.738917i \(0.735338\pi\)
\(198\) 2.51728 10.3764i 0.178895 0.737417i
\(199\) −0.639248 + 0.255916i −0.0453151 + 0.0181414i −0.394209 0.919021i \(-0.628981\pi\)
0.348894 + 0.937162i \(0.386557\pi\)
\(200\) −5.18470 0.999268i −0.366613 0.0706589i
\(201\) −6.63537 9.31808i −0.468023 0.657247i
\(202\) −0.0559933 0.0164411i −0.00393968 0.00115679i
\(203\) 3.33178 12.7556i 0.233845 0.895266i
\(204\) 2.59580 + 18.0542i 0.181742 + 1.26404i
\(205\) 0.753820 0.388621i 0.0526491 0.0271425i
\(206\) 6.03204 + 10.4478i 0.420272 + 0.727932i
\(207\) 1.79463 + 4.44739i 0.124736 + 0.309115i
\(208\) −0.0113641 + 0.0196831i −0.000787956 + 0.00136478i
\(209\) −9.07442 5.83177i −0.627691 0.403392i
\(210\) −4.15876 7.50332i −0.286982 0.517778i
\(211\) −9.32195 20.4122i −0.641749 1.40523i −0.898594 0.438782i \(-0.855410\pi\)
0.256844 0.966453i \(-0.417317\pi\)
\(212\) −15.6930 + 14.9633i −1.07780 + 1.02768i
\(213\) 0.155692 0.0148668i 0.0106678 0.00101865i
\(214\) 31.5100 + 6.07306i 2.15398 + 0.415146i
\(215\) −7.53381 5.92465i −0.513801 0.404058i
\(216\) 1.78957 0.525465i 0.121765 0.0357534i
\(217\) 4.35424 2.69186i 0.295585 0.182735i
\(218\) −9.90226 + 6.36380i −0.670666 + 0.431011i
\(219\) 0.737017 + 15.4719i 0.0498030 + 1.04549i
\(220\) −6.65122 + 19.2174i −0.448425 + 1.29564i
\(221\) −0.0663585 0.0632727i −0.00446376 0.00425619i
\(222\) −12.6081 9.91510i −0.846198 0.665458i
\(223\) 5.11835 5.90690i 0.342750 0.395555i −0.558037 0.829816i \(-0.688445\pi\)
0.900787 + 0.434261i \(0.142991\pi\)
\(224\) 15.9010 + 10.6165i 1.06243 + 0.709345i
\(225\) 2.71630 + 0.797579i 0.181087 + 0.0531719i
\(226\) 13.7053 + 1.30870i 0.911665 + 0.0870534i
\(227\) −14.1214 + 11.1052i −0.937270 + 0.737077i −0.964921 0.262540i \(-0.915440\pi\)
0.0276511 + 0.999618i \(0.491197\pi\)
\(228\) 0.301318 6.32544i 0.0199553 0.418912i
\(229\) −11.0934 + 19.2143i −0.733070 + 1.26971i 0.222495 + 0.974934i \(0.428580\pi\)
−0.955565 + 0.294780i \(0.904753\pi\)
\(230\) −4.42193 14.9083i −0.291573 0.983027i
\(231\) 11.9937 4.55979i 0.789129 0.300012i
\(232\) −7.81837 5.02456i −0.513301 0.329879i
\(233\) −12.5890 5.03987i −0.824733 0.330173i −0.0793807 0.996844i \(-0.525294\pi\)
−0.745352 + 0.666671i \(0.767719\pi\)
\(234\) −0.0182778 + 0.0256675i −0.00119485 + 0.00167794i
\(235\) −2.96122 12.2063i −0.193169 0.796252i
\(236\) −14.4347 20.2707i −0.939617 1.31951i
\(237\) 1.58399 1.82803i 0.102891 0.118743i
\(238\) −27.4536 + 25.2750i −1.77955 + 1.63834i
\(239\) 12.2031 3.58316i 0.789355 0.231776i 0.137883 0.990448i \(-0.455970\pi\)
0.651472 + 0.758673i \(0.274152\pi\)
\(240\) 2.29650 0.442614i 0.148239 0.0285706i
\(241\) 5.09325 + 2.62575i 0.328085 + 0.169140i 0.614397 0.788997i \(-0.289399\pi\)
−0.286312 + 0.958136i \(0.592430\pi\)
\(242\) −24.5005 12.6309i −1.57495 0.811944i
\(243\) −0.981929 + 0.189251i −0.0629908 + 0.0121405i
\(244\) −41.8776 + 12.2964i −2.68094 + 0.787195i
\(245\) 4.60806 9.22214i 0.294398 0.589181i
\(246\) −0.830246 + 0.958155i −0.0529346 + 0.0610897i
\(247\) 0.0184651 + 0.0259306i 0.00117490 + 0.00164992i
\(248\) −0.850789 3.50700i −0.0540252 0.222695i
\(249\) 3.60379 5.06081i 0.228381 0.320716i
\(250\) −23.5728 9.43713i −1.49088 0.596857i
\(251\) 5.52488 + 3.55063i 0.348727 + 0.224114i 0.703264 0.710929i \(-0.251725\pi\)
−0.354537 + 0.935042i \(0.615361\pi\)
\(252\) 5.83887 + 4.75937i 0.367814 + 0.299812i
\(253\) 23.0127 3.37317i 1.44680 0.212069i
\(254\) 11.1046 19.2337i 0.696763 1.20683i
\(255\) −0.448934 + 9.42429i −0.0281134 + 0.590172i
\(256\) 3.48657 2.74187i 0.217911 0.171367i
\(257\) −19.3736 1.84995i −1.20849 0.115397i −0.528703 0.848807i \(-0.677322\pi\)
−0.679787 + 0.733410i \(0.737928\pi\)
\(258\) 13.7473 + 4.03656i 0.855867 + 0.251305i
\(259\) 1.25381 19.2345i 0.0779082 1.19518i
\(260\) 0.0393007 0.0453555i 0.00243733 0.00281283i
\(261\) 3.91683 + 3.08023i 0.242446 + 0.190661i
\(262\) −22.4924 21.4465i −1.38959 1.32497i
\(263\) −5.75199 + 16.6193i −0.354683 + 1.02479i 0.616685 + 0.787210i \(0.288475\pi\)
−0.971368 + 0.237579i \(0.923646\pi\)
\(264\) −0.430397 9.03514i −0.0264891 0.556074i
\(265\) −9.43573 + 6.06397i −0.579632 + 0.372507i
\(266\) 11.0200 6.81271i 0.675678 0.417714i
\(267\) 2.75708 0.809553i 0.168731 0.0495438i
\(268\) −25.6011 20.1329i −1.56383 1.22981i
\(269\) 14.7076 + 2.83465i 0.896735 + 0.172832i 0.616737 0.787169i \(-0.288454\pi\)
0.279998 + 0.960001i \(0.409666\pi\)
\(270\) 3.22778 0.308216i 0.196437 0.0187574i
\(271\) −15.1537 + 14.4490i −0.920520 + 0.877714i −0.992814 0.119669i \(-0.961817\pi\)
0.0722935 + 0.997383i \(0.476968\pi\)
\(272\) −4.22616 9.25401i −0.256249 0.561107i
\(273\) −0.0378609 0.000662390i −0.00229145 4.00897e-5i
\(274\) −39.1655 25.1701i −2.36607 1.52058i
\(275\) 6.86479 11.8902i 0.413962 0.717003i
\(276\) 8.47004 + 10.7100i 0.509836 + 0.644664i
\(277\) 6.92137 + 11.9882i 0.415865 + 0.720299i 0.995519 0.0945640i \(-0.0301457\pi\)
−0.579654 + 0.814863i \(0.696812\pi\)
\(278\) −8.97357 + 4.62620i −0.538199 + 0.277461i
\(279\) 0.275358 + 1.91516i 0.0164852 + 0.114657i
\(280\) −5.17123 5.10642i −0.309040 0.305167i
\(281\) 6.99246 + 2.05317i 0.417135 + 0.122482i 0.483563 0.875309i \(-0.339342\pi\)
−0.0664284 + 0.997791i \(0.521160\pi\)
\(282\) 10.8914 + 15.2949i 0.648575 + 0.910796i
\(283\) −23.2448 4.48006i −1.38176 0.266312i −0.556397 0.830917i \(-0.687817\pi\)
−0.825361 + 0.564605i \(0.809029\pi\)
\(284\) 0.413398 0.165500i 0.0245307 0.00982060i
\(285\) 0.772274 3.18336i 0.0457456 0.188566i
\(286\) 0.100074 + 0.115492i 0.00591750 + 0.00682916i
\(287\) −1.51391 0.171333i −0.0893632 0.0101135i
\(288\) −6.07928 + 3.90692i −0.358225 + 0.230217i
\(289\) 23.6066 4.54979i 1.38862 0.267635i
\(290\) −11.6933 11.1495i −0.686654 0.654724i
\(291\) 2.66630 1.06742i 0.156301 0.0625735i
\(292\) 14.4240 + 41.6753i 0.844099 + 2.43887i
\(293\) 1.73915 3.80821i 0.101602 0.222478i −0.852003 0.523536i \(-0.824613\pi\)
0.953606 + 0.301058i \(0.0973398\pi\)
\(294\) −1.27133 + 15.3589i −0.0741457 + 0.895746i
\(295\) −5.34735 11.7091i −0.311335 0.681729i
\(296\) −12.6148 5.05020i −0.733220 0.293537i
\(297\) −0.230761 + 4.84427i −0.0133901 + 0.281093i
\(298\) 20.8008 + 36.0280i 1.20496 + 2.08705i
\(299\) −0.0667486 0.0159993i −0.00386017 0.000925266i
\(300\) 8.06024 0.465358
\(301\) 5.34593 + 16.3669i 0.308135 + 0.943374i
\(302\) 2.86131 + 19.9009i 0.164650 + 1.14517i
\(303\) 0.0263864 + 0.00251959i 0.00151586 + 0.000144747i
\(304\) 0.832712 + 3.43249i 0.0477593 + 0.196867i
\(305\) −22.4745 + 2.14605i −1.28689 + 0.122883i
\(306\) −4.61308 13.3286i −0.263712 0.761946i
\(307\) −0.717140 + 4.98782i −0.0409294 + 0.284670i 0.959070 + 0.283171i \(0.0913863\pi\)
−0.999999 + 0.00149925i \(0.999523\pi\)
\(308\) 29.1072 22.0772i 1.65854 1.25796i
\(309\) −3.58839 4.14122i −0.204136 0.235586i
\(310\) −0.298514 6.26658i −0.0169544 0.355918i
\(311\) 7.83396 + 4.03869i 0.444223 + 0.229013i 0.665800 0.746130i \(-0.268090\pi\)
−0.221577 + 0.975143i \(0.571121\pi\)
\(312\) −0.00873079 + 0.0252260i −0.000494283 + 0.00142814i
\(313\) 4.92520 20.3019i 0.278389 1.14753i −0.645159 0.764049i \(-0.723209\pi\)
0.923547 0.383485i \(-0.125276\pi\)
\(314\) −4.62886 + 32.1944i −0.261222 + 1.81684i
\(315\) 2.49980 + 2.98901i 0.140848 + 0.168411i
\(316\) 2.86087 6.26443i 0.160936 0.352401i
\(317\) 25.4293 24.2467i 1.42825 1.36183i 0.602045 0.798462i \(-0.294353\pi\)
0.826204 0.563371i \(-0.190496\pi\)
\(318\) 9.72592 13.6581i 0.545403 0.765911i
\(319\) 18.9957 14.9384i 1.06355 0.836388i
\(320\) 16.6692 8.59358i 0.931838 0.480396i
\(321\) −14.5756 −0.813528
\(322\) −8.26486 + 26.6849i −0.460583 + 1.48709i
\(323\) −14.2489 −0.792829
\(324\) −2.53065 + 1.30464i −0.140592 + 0.0724801i
\(325\) −0.0318491 + 0.0250464i −0.00176667 + 0.00138933i
\(326\) 6.00857 8.43785i 0.332784 0.467329i
\(327\) 3.86939 3.68946i 0.213978 0.204028i
\(328\) −0.446173 + 0.976982i −0.0246358 + 0.0539448i
\(329\) −7.75189 + 21.1908i −0.427376 + 1.16829i
\(330\) 2.23793 15.5651i 0.123194 0.856832i
\(331\) 4.05404 16.7110i 0.222830 0.918519i −0.745030 0.667031i \(-0.767565\pi\)
0.967860 0.251488i \(-0.0809199\pi\)
\(332\) 5.78546 16.7160i 0.317518 0.917408i
\(333\) 6.47552 + 3.33836i 0.354856 + 0.182941i
\(334\) −1.44079 30.2460i −0.0788367 1.65499i
\(335\) −11.0325 12.7322i −0.602772 0.695636i
\(336\) −3.87262 1.62953i −0.211269 0.0888982i
\(337\) 0.608747 4.23393i 0.0331606 0.230637i −0.966501 0.256664i \(-0.917377\pi\)
0.999661 + 0.0260273i \(0.00828568\pi\)
\(338\) 9.36091 + 27.0466i 0.509166 + 1.47114i
\(339\) −6.22509 + 0.594424i −0.338101 + 0.0322847i
\(340\) 6.33316 + 26.1056i 0.343464 + 1.41578i
\(341\) 9.34107 + 0.891964i 0.505847 + 0.0483026i
\(342\) 0.696892 + 4.84699i 0.0376836 + 0.262095i
\(343\) −16.0840 + 9.18174i −0.868455 + 0.495767i
\(344\) 12.1377 0.654422
\(345\) 3.25371 + 6.26904i 0.175174 + 0.337514i
\(346\) −7.59475 13.1545i −0.408296 0.707190i
\(347\) 0.109339 2.29531i 0.00586962 0.123219i −0.994031 0.109101i \(-0.965203\pi\)
0.999900 0.0141180i \(-0.00449404\pi\)
\(348\) 13.1709 + 5.27282i 0.706032 + 0.282653i
\(349\) 9.28868 + 20.3394i 0.497211 + 1.08874i 0.977366 + 0.211557i \(0.0678534\pi\)
−0.480154 + 0.877184i \(0.659419\pi\)
\(350\) 9.32889 + 13.5979i 0.498650 + 0.726838i
\(351\) 0.00594554 0.0130189i 0.000317349 0.000694898i
\(352\) 11.4626 + 33.1190i 0.610959 + 1.76525i
\(353\) −20.7437 + 8.30454i −1.10408 + 0.442006i −0.850854 0.525401i \(-0.823915\pi\)
−0.253224 + 0.967408i \(0.581491\pi\)
\(354\) 13.9267 + 13.2791i 0.740194 + 0.705774i
\(355\) 0.226177 0.0435921i 0.0120042 0.00231363i
\(356\) 6.88250 4.42312i 0.364772 0.234425i
\(357\) 10.0717 13.6326i 0.533052 0.721514i
\(358\) 18.4285 + 21.2676i 0.973978 + 1.12403i
\(359\) 0.361272 1.48919i 0.0190672 0.0785962i −0.961483 0.274864i \(-0.911367\pi\)
0.980550 + 0.196268i \(0.0628823\pi\)
\(360\) 2.55011 1.02091i 0.134402 0.0538066i
\(361\) −13.7990 2.65954i −0.726265 0.139976i
\(362\) 19.6278 + 27.5634i 1.03161 + 1.44870i
\(363\) 12.0130 + 3.52734i 0.630520 + 0.185137i
\(364\) −0.103961 + 0.0285601i −0.00544903 + 0.00149696i
\(365\) 3.24652 + 22.5800i 0.169931 + 1.18189i
\(366\) 29.9981 15.4651i 1.56803 0.808373i
\(367\) −6.93391 12.0099i −0.361947 0.626911i 0.626334 0.779555i \(-0.284555\pi\)
−0.988281 + 0.152644i \(0.951221\pi\)
\(368\) −6.21579 4.40060i −0.324020 0.229397i
\(369\) 0.287928 0.498707i 0.0149890 0.0259616i
\(370\) −19.8726 12.7714i −1.03313 0.663952i
\(371\) 20.1465 + 0.352470i 1.04595 + 0.0182993i
\(372\) 2.28845 + 5.01100i 0.118650 + 0.259808i
\(373\) −14.4918 + 13.8179i −0.750359 + 0.715466i −0.965295 0.261162i \(-0.915894\pi\)
0.214936 + 0.976628i \(0.431046\pi\)
\(374\) −68.0929 + 6.50208i −3.52100 + 0.336215i
\(375\) 11.3247 + 2.18266i 0.584807 + 0.112712i
\(376\) 12.5034 + 9.83280i 0.644815 + 0.507088i
\(377\) −0.0684279 + 0.0200923i −0.00352422 + 0.00103480i
\(378\) −5.12994 2.75931i −0.263856 0.141923i
\(379\) −6.28296 + 4.03781i −0.322734 + 0.207409i −0.691969 0.721928i \(-0.743256\pi\)
0.369234 + 0.929336i \(0.379620\pi\)
\(380\) −0.443769 9.31585i −0.0227648 0.477893i
\(381\) −3.29934 + 9.53281i −0.169030 + 0.488381i
\(382\) −32.4996 30.9883i −1.66283 1.58550i
\(383\) −2.00860 1.57958i −0.102635 0.0807128i 0.565523 0.824733i \(-0.308674\pi\)
−0.668158 + 0.744020i \(0.732917\pi\)
\(384\) −8.89459 + 10.2649i −0.453900 + 0.523828i
\(385\) 16.9455 8.36413i 0.863625 0.426275i
\(386\) −5.54132 1.62708i −0.282046 0.0828162i
\(387\) −6.47828 0.618601i −0.329309 0.0314452i
\(388\) 6.42764 5.05475i 0.326314 0.256616i
\(389\) −1.37680 + 28.9025i −0.0698064 + 1.46542i 0.643975 + 0.765047i \(0.277284\pi\)
−0.713781 + 0.700369i \(0.753019\pi\)
\(390\) −0.0232035 + 0.0401897i −0.00117496 + 0.00203508i
\(391\) 23.1641 20.1833i 1.17146 1.02071i
\(392\) 2.63233 + 12.7877i 0.132953 + 0.645877i
\(393\) 11.8752 + 7.63172i 0.599024 + 0.384969i
\(394\) −6.72404 2.69190i −0.338752 0.135616i
\(395\) 2.06636 2.90180i 0.103970 0.146006i
\(396\) 3.25536 + 13.4188i 0.163588 + 0.674320i
\(397\) 1.73321 + 2.43395i 0.0869873 + 0.122157i 0.855776 0.517346i \(-0.173080\pi\)
−0.768789 + 0.639502i \(0.779140\pi\)
\(398\) 0.992754 1.14570i 0.0497623 0.0574287i
\(399\) −4.32931 + 3.98575i −0.216736 + 0.199537i
\(400\) −4.31354 + 1.26657i −0.215677 + 0.0633284i
\(401\) 5.67281 1.09334i 0.283287 0.0545990i −0.0456286 0.998958i \(-0.514529\pi\)
0.328915 + 0.944359i \(0.393317\pi\)
\(402\) 22.3851 + 11.5403i 1.11647 + 0.575580i
\(403\) −0.0246137 0.0126893i −0.00122610 0.000632097i
\(404\) 0.0741041 0.0142824i 0.00368681 0.000710575i
\(405\) −1.41310 + 0.414924i −0.0702176 + 0.0206178i
\(406\) 6.34849 + 28.3224i 0.315070 + 1.40562i
\(407\) 23.1378 26.7025i 1.14690 1.32359i
\(408\) −6.93085 9.73301i −0.343128 0.481856i
\(409\) −2.55305 10.5238i −0.126240 0.520369i −0.999454 0.0330324i \(-0.989484\pi\)
0.873214 0.487337i \(-0.162032\pi\)
\(410\) −1.08308 + 1.52097i −0.0534895 + 0.0751155i
\(411\) 19.6315 + 7.85926i 0.968350 + 0.387669i
\(412\) −13.1247 8.43472i −0.646606 0.415549i
\(413\) −3.69086 + 22.8281i −0.181615 + 1.12330i
\(414\) −7.99861 6.89252i −0.393110 0.338749i
\(415\) 4.57499 7.92412i 0.224577 0.388980i
\(416\) 0.00492126 0.103310i 0.000241285 0.00506519i
\(417\) 3.60456 2.83466i 0.176516 0.138814i
\(418\) 23.6409 + 2.25743i 1.15632 + 0.110415i
\(419\) −21.6760 6.36466i −1.05894 0.310934i −0.294518 0.955646i \(-0.595159\pi\)
−0.764426 + 0.644712i \(0.776977\pi\)
\(420\) 9.22660 + 6.16026i 0.450212 + 0.300590i
\(421\) −0.135838 + 0.156765i −0.00662032 + 0.00764026i −0.759050 0.651032i \(-0.774336\pi\)
0.752430 + 0.658672i \(0.228882\pi\)
\(422\) 38.8347 + 30.5399i 1.89044 + 1.48666i
\(423\) −6.17234 5.88531i −0.300109 0.286154i
\(424\) 4.64581 13.4232i 0.225620 0.651887i
\(425\) −0.862954 18.1156i −0.0418594 0.878737i
\(426\) −0.289673 + 0.186161i −0.0140347 + 0.00901955i
\(427\) 35.7189 + 19.2126i 1.72856 + 0.929761i
\(428\) −39.8179 + 11.6916i −1.92467 + 0.565134i
\(429\) −0.0545608 0.0429071i −0.00263422 0.00207157i
\(430\) 20.7198 + 3.99342i 0.999198 + 0.192580i
\(431\) 39.6813 3.78910i 1.91138 0.182515i 0.929086 0.369863i \(-0.120595\pi\)
0.982294 + 0.187348i \(0.0599892\pi\)
\(432\) 1.14930 1.09586i 0.0552958 0.0527244i
\(433\) 16.0510 + 35.1467i 0.771361 + 1.68904i 0.723634 + 0.690184i \(0.242470\pi\)
0.0477266 + 0.998860i \(0.484802\pi\)
\(434\) −5.80508 + 9.66040i −0.278653 + 0.463714i
\(435\) 6.17364 + 3.96756i 0.296004 + 0.190230i
\(436\) 7.61106 13.1827i 0.364504 0.631339i
\(437\) −9.22309 + 5.35873i −0.441200 + 0.256343i
\(438\) −17.0510 29.5332i −0.814727 1.41115i
\(439\) −22.0410 + 11.3629i −1.05196 + 0.542322i −0.895361 0.445341i \(-0.853083\pi\)
−0.156597 + 0.987663i \(0.550052\pi\)
\(440\) −1.89587 13.1861i −0.0903821 0.628621i
\(441\) −0.753227 6.95936i −0.0358679 0.331398i
\(442\) 0.193688 + 0.0568720i 0.00921281 + 0.00270512i
\(443\) −4.82635 6.77767i −0.229307 0.322017i 0.683852 0.729621i \(-0.260304\pi\)
−0.913159 + 0.407605i \(0.866364\pi\)
\(444\) 20.3678 + 3.92557i 0.966614 + 0.186299i
\(445\) 3.92880 1.57286i 0.186243 0.0745605i
\(446\) −4.05689 + 16.7227i −0.192099 + 0.791844i
\(447\) −12.3742 14.2805i −0.585277 0.675446i
\(448\) −33.4771 3.78870i −1.58164 0.178999i
\(449\) 0.876708 0.563426i 0.0413744 0.0265897i −0.519790 0.854294i \(-0.673990\pi\)
0.561165 + 0.827704i \(0.310353\pi\)
\(450\) −6.12012 + 1.17956i −0.288505 + 0.0556049i
\(451\) −2.02122 1.92723i −0.0951756 0.0907497i
\(452\) −16.5291 + 6.61724i −0.777462 + 0.311249i
\(453\) −2.98682 8.62986i −0.140333 0.405466i
\(454\) 16.4305 35.9778i 0.771123 1.68852i
\(455\) −0.0556003 + 0.00432921i −0.00260658 + 0.000202956i
\(456\) 1.72330 + 3.77350i 0.0807008 + 0.176710i
\(457\) −14.4308 5.77723i −0.675046 0.270248i 0.00870620 0.999962i \(-0.497229\pi\)
−0.683752 + 0.729715i \(0.739653\pi\)
\(458\) 2.32423 48.7915i 0.108604 2.27988i
\(459\) 3.20316 + 5.54804i 0.149511 + 0.258960i
\(460\) 13.9172 + 14.5160i 0.648892 + 0.676812i
\(461\) −39.6771 −1.84795 −0.923973 0.382458i \(-0.875078\pi\)
−0.923973 + 0.382458i \(0.875078\pi\)
\(462\) −18.8702 + 21.0228i −0.877921 + 0.978068i
\(463\) −0.812191 5.64892i −0.0377457 0.262527i 0.962206 0.272322i \(-0.0877914\pi\)
−0.999952 + 0.00979421i \(0.996882\pi\)
\(464\) −7.87711 0.752173i −0.365686 0.0349187i
\(465\) 0.671811 + 2.76924i 0.0311545 + 0.128421i
\(466\) 29.7196 2.83788i 1.37674 0.131462i
\(467\) −9.91765 28.6552i −0.458934 1.32600i −0.902858 0.429939i \(-0.858535\pi\)
0.443924 0.896064i \(-0.353586\pi\)
\(468\) 0.00579923 0.0403345i 0.000268069 0.00186446i
\(469\) 3.78250 + 30.0279i 0.174660 + 1.38656i
\(470\) 18.1090 + 20.8989i 0.835307 + 0.963995i
\(471\) −0.702947 14.7567i −0.0323901 0.679952i
\(472\) 14.4895 + 7.46985i 0.666933 + 0.343828i
\(473\) −10.3226 + 29.8252i −0.474633 + 1.37136i
\(474\) −1.25550 + 5.17523i −0.0576669 + 0.237706i
\(475\) −0.896104 + 6.23254i −0.0411161 + 0.285969i
\(476\) 16.5790 45.3208i 0.759896 2.07727i
\(477\) −3.16373 + 6.92759i −0.144857 + 0.317193i
\(478\) −20.2653 + 19.3229i −0.926911 + 0.883808i
\(479\) −1.23289 + 1.73135i −0.0563320 + 0.0791072i −0.841781 0.539819i \(-0.818493\pi\)
0.785449 + 0.618926i \(0.212432\pi\)
\(480\) −8.36583 + 6.57896i −0.381846 + 0.300287i
\(481\) −0.0926794 + 0.0477796i −0.00422582 + 0.00217856i
\(482\) −12.6159 −0.574637
\(483\) 1.39231 12.6120i 0.0633525 0.573864i
\(484\) 35.6469 1.62031
\(485\) 3.75960 1.93821i 0.170715 0.0880095i
\(486\) 1.73059 1.36095i 0.0785014 0.0617342i
\(487\) −13.2111 + 18.5524i −0.598652 + 0.840689i −0.997068 0.0765156i \(-0.975620\pi\)
0.398416 + 0.917205i \(0.369560\pi\)
\(488\) 20.6926 19.7303i 0.936709 0.893150i
\(489\) −1.95451 + 4.27979i −0.0883862 + 0.193539i
\(490\) 0.286267 + 22.6954i 0.0129322 + 1.02528i
\(491\) 4.22602 29.3926i 0.190718 1.32647i −0.639396 0.768878i \(-0.720816\pi\)
0.830114 0.557594i \(-0.188275\pi\)
\(492\) 0.386539 1.59334i 0.0174265 0.0718332i
\(493\) 10.4407 30.1664i 0.470226 1.35863i
\(494\) −0.0622939 0.0321147i −0.00280273 0.00144491i
\(495\) 0.339855 + 7.13444i 0.0152754 + 0.320669i
\(496\) −2.01211 2.32210i −0.0903463 0.104265i
\(497\) −0.381406 0.160489i −0.0171084 0.00719891i
\(498\) −1.94662 + 13.5391i −0.0872303 + 0.606700i
\(499\) −10.3495 29.9029i −0.463308 1.33864i −0.898765 0.438430i \(-0.855535\pi\)
0.435458 0.900209i \(-0.356586\pi\)
\(500\) 32.6880 3.12132i 1.46185 0.139590i
\(501\) 3.24253 + 13.3659i 0.144866 + 0.597145i
\(502\) −14.3936 1.37442i −0.642417 0.0613433i
\(503\) 3.06984 + 21.3512i 0.136878 + 0.952005i 0.936291 + 0.351224i \(0.114234\pi\)
−0.799414 + 0.600781i \(0.794856\pi\)
\(504\) −4.82839 1.01850i −0.215074 0.0453678i
\(505\) 0.0390376 0.00173715
\(506\) −41.6302 + 29.8171i −1.85069 + 1.32553i
\(507\) −6.49990 11.2582i −0.288671 0.499992i
\(508\) −1.36660 + 28.6885i −0.0606331 + 1.27285i
\(509\) 18.2897 + 7.32211i 0.810679 + 0.324547i 0.739705 0.672931i \(-0.234965\pi\)
0.0709739 + 0.997478i \(0.477389\pi\)
\(510\) −8.62912 18.8951i −0.382104 0.836691i
\(511\) 17.6737 36.9743i 0.781838 1.63565i
\(512\) 7.22798 15.8271i 0.319435 0.699464i
\(513\) −0.727461 2.10186i −0.0321182 0.0927994i
\(514\) 39.7781 15.9248i 1.75454 0.702411i
\(515\) −5.84065 5.56905i −0.257370 0.245402i
\(516\) −18.1937 + 3.50655i −0.800934 + 0.154367i
\(517\) −34.7951 + 22.3614i −1.53029 + 0.983455i
\(518\) 16.9511 + 38.9046i 0.744787 + 1.70937i
\(519\) 4.51803 + 5.21408i 0.198319 + 0.228873i
\(520\) −0.00926863 + 0.0382058i −0.000406456 + 0.00167544i
\(521\) −27.6385 + 11.0648i −1.21087 + 0.484758i −0.887187 0.461409i \(-0.847344\pi\)
−0.323679 + 0.946167i \(0.604920\pi\)
\(522\) −10.7722 2.07618i −0.471488 0.0908719i
\(523\) −3.03577 4.26314i −0.132745 0.186414i 0.742853 0.669454i \(-0.233472\pi\)
−0.875598 + 0.483040i \(0.839533\pi\)
\(524\) 38.5626 + 11.3230i 1.68462 + 0.494648i
\(525\) −5.32957 5.26277i −0.232602 0.229686i
\(526\) −5.51028 38.3248i −0.240260 1.67104i
\(527\) 11.0174 5.67985i 0.479924 0.247418i
\(528\) −3.85075 6.66969i −0.167582 0.290261i
\(529\) 7.40325 21.7759i 0.321880 0.946780i
\(530\) 12.3470 21.3857i 0.536320 0.928934i
\(531\) −7.35278 4.72535i −0.319084 0.205063i
\(532\) −8.62979 + 14.3611i −0.374149 + 0.622632i
\(533\) 0.00342378 + 0.00749702i 0.000148300 + 0.000324732i
\(534\) −4.57858 + 4.36567i −0.198135 + 0.188921i
\(535\) −21.3691 + 2.04050i −0.923866 + 0.0882186i
\(536\) 20.9499 + 4.03776i 0.904897 + 0.174405i
\(537\) −10.0473 7.90129i −0.433574 0.340966i
\(538\) −31.6407 + 9.29054i −1.36413 + 0.400544i
\(539\) −33.6610 4.40715i −1.44988 0.189830i
\(540\) −3.52752 + 2.26700i −0.151800 + 0.0975562i
\(541\) −0.175780 3.69009i −0.00755739 0.158649i −0.999491 0.0318930i \(-0.989846\pi\)
0.991934 0.126756i \(-0.0404566\pi\)
\(542\) 15.0772 43.5627i 0.647621 1.87118i
\(543\) −11.1234 10.6061i −0.477350 0.455152i
\(544\) 36.3904 + 28.6177i 1.56022 + 1.22697i
\(545\) 5.15638 5.95078i 0.220875 0.254903i
\(546\) 0.0747577 0.0368995i 0.00319933 0.00157915i
\(547\) −21.6013 6.34272i −0.923606 0.271195i −0.214849 0.976647i \(-0.568926\pi\)
−0.708758 + 0.705452i \(0.750744\pi\)
\(548\) 59.9340 + 5.72300i 2.56025 + 0.244474i
\(549\) −12.0498 + 9.47609i −0.514274 + 0.404430i
\(550\) −1.43828 + 30.1931i −0.0613283 + 1.28744i
\(551\) −5.54146 + 9.59810i −0.236074 + 0.408893i
\(552\) −8.14663 3.69348i −0.346744 0.157205i
\(553\) −5.98189 + 2.27420i −0.254376 + 0.0967089i
\(554\) −25.6385 16.4768i −1.08927 0.700034i
\(555\) 9.96105 + 3.98780i 0.422823 + 0.169273i
\(556\) 7.57325 10.6351i 0.321177 0.451031i
\(557\) −9.94588 40.9975i −0.421421 1.73712i −0.646625 0.762808i \(-0.723820\pi\)
0.225204 0.974312i \(-0.427695\pi\)
\(558\) −2.47094 3.46994i −0.104603 0.146894i
\(559\) 0.0609942 0.0703910i 0.00257978 0.00297722i
\(560\) −5.90574 1.84689i −0.249563 0.0780455i
\(561\) 29.8106 8.75319i 1.25861 0.369560i
\(562\) −15.7547 + 3.03648i −0.664574 + 0.128086i
\(563\) 11.9702 + 6.17105i 0.504483 + 0.260079i 0.691629 0.722253i \(-0.256893\pi\)
−0.187146 + 0.982332i \(0.559924\pi\)
\(564\) −21.5826 11.1266i −0.908790 0.468514i
\(565\) −9.04334 + 1.74296i −0.380456 + 0.0733269i
\(566\) 50.0070 14.6834i 2.10195 0.617188i
\(567\) 2.52515 + 0.789687i 0.106046 + 0.0331637i
\(568\) −0.191026 + 0.220456i −0.00801528 + 0.00925012i
\(569\) −24.6740 34.6498i −1.03439 1.45260i −0.886010 0.463667i \(-0.846534\pi\)
−0.148380 0.988930i \(-0.547406\pi\)
\(570\) 1.70026 + 7.00856i 0.0712160 + 0.293556i
\(571\) 11.0989 15.5863i 0.464476 0.652265i −0.514201 0.857669i \(-0.671912\pi\)
0.978677 + 0.205404i \(0.0658510\pi\)
\(572\) −0.183468 0.0734495i −0.00767118 0.00307108i
\(573\) 17.1586 + 11.0272i 0.716813 + 0.460667i
\(574\) 3.13539 1.19202i 0.130869 0.0497539i
\(575\) −7.37152 11.4014i −0.307414 0.475473i
\(576\) 6.36696 11.0279i 0.265290 0.459496i
\(577\) −0.117863 + 2.47424i −0.00490669 + 0.103004i 0.995085 + 0.0990207i \(0.0315710\pi\)
−0.999992 + 0.00398345i \(0.998732\pi\)
\(578\) −41.6053 + 32.7187i −1.73055 + 1.36092i
\(579\) 2.61130 + 0.249349i 0.108522 + 0.0103626i
\(580\) 20.0478 + 5.88658i 0.832441 + 0.244427i
\(581\) −14.7398 + 7.27540i −0.611510 + 0.301835i
\(582\) −4.14077 + 4.77870i −0.171640 + 0.198084i
\(583\) 29.0328 + 22.8316i 1.20242 + 0.945590i
\(584\) −20.9084 19.9361i −0.865197 0.824964i
\(585\) 0.00689412 0.0199192i 0.000285037 0.000823559i
\(586\) 0.438572 + 9.20675i 0.0181172 + 0.380328i
\(587\) −25.1544 + 16.1657i −1.03823 + 0.667231i −0.944549 0.328371i \(-0.893500\pi\)
−0.0936829 + 0.995602i \(0.529864\pi\)
\(588\) −7.64004 18.4076i −0.315070 0.759115i
\(589\) −4.12915 + 1.21243i −0.170139 + 0.0499572i
\(590\) 22.2768 + 17.5186i 0.917120 + 0.721231i
\(591\) 3.23033 + 0.622594i 0.132878 + 0.0256101i
\(592\) −11.5169 + 1.09973i −0.473344 + 0.0451988i
\(593\) 4.21548 4.01945i 0.173109 0.165059i −0.598572 0.801069i \(-0.704265\pi\)
0.771681 + 0.636010i \(0.219416\pi\)
\(594\) −4.43553 9.71246i −0.181992 0.398507i
\(595\) 12.8576 21.3966i 0.527108 0.877176i
\(596\) −45.2590 29.0862i −1.85388 1.19142i
\(597\) −0.344286 + 0.596321i −0.0140907 + 0.0244058i
\(598\) 0.146760 0.0360300i 0.00600146 0.00147338i
\(599\) 17.6319 + 30.5393i 0.720419 + 1.24780i 0.960832 + 0.277132i \(0.0893839\pi\)
−0.240413 + 0.970671i \(0.577283\pi\)
\(600\) −4.69315 + 2.41949i −0.191597 + 0.0987752i
\(601\) 5.17577 + 35.9983i 0.211124 + 1.46840i 0.769412 + 0.638753i \(0.220550\pi\)
−0.558288 + 0.829648i \(0.688541\pi\)
\(602\) −26.9730 26.6350i −1.09934 1.08556i
\(603\) −10.9758 3.22279i −0.446970 0.131242i
\(604\) −15.0818 21.1794i −0.613670 0.861779i
\(605\) 18.1060 + 3.48964i 0.736113 + 0.141874i
\(606\) −0.0541769 + 0.0216892i −0.00220079 + 0.000881062i
\(607\) 0.426648 1.75867i 0.0173171 0.0713820i −0.962497 0.271291i \(-0.912549\pi\)
0.979814 + 0.199909i \(0.0640646\pi\)
\(608\) −10.5256 12.1472i −0.426869 0.492633i
\(609\) −5.26602 12.0861i −0.213390 0.489755i
\(610\) 41.8149 26.8728i 1.69304 1.08805i
\(611\) 0.119856 0.0231003i 0.00484885 0.000934539i
\(612\) 13.2008 + 12.5869i 0.533609 + 0.508796i
\(613\) 21.5124 8.61225i 0.868877 0.347846i 0.105982 0.994368i \(-0.466202\pi\)
0.762895 + 0.646522i \(0.223777\pi\)
\(614\) −3.62857 10.4841i −0.146437 0.423102i
\(615\) 0.352313 0.771457i 0.0142066 0.0311082i
\(616\) −10.3209 + 21.5919i −0.415842 + 0.869963i
\(617\) −2.35890 5.16528i −0.0949659 0.207946i 0.856187 0.516666i \(-0.172827\pi\)
−0.951153 + 0.308719i \(0.900100\pi\)
\(618\) 11.1999 + 4.48376i 0.450526 + 0.180363i
\(619\) 1.28784 27.0351i 0.0517626 1.08663i −0.812298 0.583243i \(-0.801784\pi\)
0.864060 0.503388i \(-0.167913\pi\)
\(620\) 4.05658 + 7.02621i 0.162916 + 0.282179i
\(621\) 4.15987 + 2.38652i 0.166930 + 0.0957677i
\(622\) −19.4045 −0.778051
\(623\) −7.43882 1.56915i −0.298030 0.0628667i
\(624\) 0.00323455 + 0.0224968i 0.000129486 + 0.000900593i
\(625\) 2.81784 + 0.269071i 0.112714 + 0.0107628i
\(626\) 10.8434 + 44.6973i 0.433391 + 1.78646i
\(627\) −10.7379 + 1.02535i −0.428832 + 0.0409485i
\(628\) −13.7572 39.7488i −0.548972 1.58615i
\(629\) 6.64221 46.1976i 0.264842 1.84202i
\(630\) −7.90725 3.32723i −0.315032 0.132560i
\(631\) −2.31457 2.67116i −0.0921417 0.106337i 0.707806 0.706407i \(-0.249685\pi\)
−0.799948 + 0.600070i \(0.795140\pi\)
\(632\) 0.214661 + 4.50629i 0.00853875 + 0.179250i
\(633\) −19.9455 10.2826i −0.792764 0.408698i
\(634\) −25.3009 + 73.1022i −1.00483 + 2.90326i
\(635\) −3.50259 + 14.4379i −0.138996 + 0.572949i
\(636\) −3.08587 + 21.4627i −0.122363 + 0.851052i
\(637\) 0.0873885 + 0.0489947i 0.00346246 + 0.00194124i
\(638\) −22.1019 + 48.3963i −0.875021 + 1.91603i
\(639\) 0.113192 0.107928i 0.00447781 0.00426958i
\(640\) −11.6032 + 16.2945i −0.458658 + 0.644095i
\(641\) −18.2368 + 14.3415i −0.720309 + 0.566457i −0.909611 0.415462i \(-0.863620\pi\)
0.189302 + 0.981919i \(0.439378\pi\)
\(642\) 28.5227 14.7045i 1.12570 0.580339i
\(643\) 42.1567 1.66250 0.831249 0.555901i \(-0.187627\pi\)
0.831249 + 0.555901i \(0.187627\pi\)
\(644\) −6.31295 35.5705i −0.248765 1.40167i
\(645\) −9.58435 −0.377383
\(646\) 27.8834 14.3749i 1.09706 0.565572i
\(647\) 1.58159 1.24377i 0.0621786 0.0488978i −0.586586 0.809887i \(-0.699528\pi\)
0.648765 + 0.760989i \(0.275286\pi\)
\(648\) 1.08188 1.51928i 0.0425001 0.0596830i
\(649\) −30.6778 + 29.2512i −1.20421 + 1.14821i
\(650\) 0.0370571 0.0811437i 0.00145350 0.00318272i
\(651\) 1.75867 4.80756i 0.0689277 0.188423i
\(652\) −1.90642 + 13.2594i −0.0746611 + 0.519279i
\(653\) −2.19424 + 9.04476i −0.0858671 + 0.353949i −0.998495 0.0548422i \(-0.982534\pi\)
0.912628 + 0.408791i \(0.134050\pi\)
\(654\) −3.84986 + 11.1235i −0.150542 + 0.434961i
\(655\) 18.4785 + 9.52633i 0.722015 + 0.372224i
\(656\) 0.0435122 + 0.913434i 0.00169887 + 0.0356636i
\(657\) 10.1434 + 11.7061i 0.395733 + 0.456700i
\(658\) −6.20866 49.2884i −0.242039 1.92146i
\(659\) −5.00845 + 34.8346i −0.195102 + 1.35696i 0.623150 + 0.782102i \(0.285853\pi\)
−0.818252 + 0.574860i \(0.805057\pi\)
\(660\) 6.65122 + 19.2174i 0.258898 + 0.748038i
\(661\) −20.7332 + 1.97978i −0.806428 + 0.0770045i −0.490123 0.871653i \(-0.663048\pi\)
−0.316305 + 0.948658i \(0.602442\pi\)
\(662\) 8.92548 + 36.7913i 0.346899 + 1.42994i
\(663\) −0.0912740 0.00871561i −0.00354479 0.000338486i
\(664\) 1.64909 + 11.4697i 0.0639972 + 0.445110i
\(665\) −5.78917 + 6.44955i −0.224494 + 0.250103i
\(666\) −16.0397 −0.621526
\(667\) −4.58690 23.4528i −0.177606 0.908098i
\(668\) 19.5793 + 33.9124i 0.757547 + 1.31211i
\(669\) 0.371898 7.80709i 0.0143784 0.301840i
\(670\) 34.4342 + 13.7854i 1.33031 + 0.532576i
\(671\) 30.8838 + 67.6262i 1.19226 + 2.61068i
\(672\) 19.0617 1.48420i 0.735322 0.0572543i
\(673\) 12.0047 26.2867i 0.462749 1.01328i −0.524103 0.851655i \(-0.675599\pi\)
0.986852 0.161624i \(-0.0516733\pi\)
\(674\) 3.08012 + 8.89943i 0.118642 + 0.342793i
\(675\) 2.62819 1.05217i 0.101159 0.0404980i
\(676\) −26.7872 25.5415i −1.03028 0.982366i
\(677\) −0.886419 + 0.170843i −0.0340678 + 0.00656604i −0.206257 0.978498i \(-0.566128\pi\)
0.172189 + 0.985064i \(0.444916\pi\)
\(678\) 11.5821 7.44336i 0.444808 0.285861i
\(679\) −7.55047 0.854508i −0.289760 0.0327930i
\(680\) −11.5238 13.2992i −0.441918 0.510001i
\(681\) −4.23539 + 17.4585i −0.162301 + 0.669013i
\(682\) −19.1792 + 7.67821i −0.734411 + 0.294014i
\(683\) 33.0578 + 6.37137i 1.26492 + 0.243794i 0.777227 0.629220i \(-0.216626\pi\)
0.487695 + 0.873014i \(0.337838\pi\)
\(684\) −3.67327 5.15839i −0.140451 0.197236i
\(685\) 29.8818 + 8.77408i 1.14172 + 0.335241i
\(686\) 22.2116 34.1938i 0.848043 1.30553i
\(687\) 3.15750 + 21.9609i 0.120466 + 0.837860i
\(688\) 9.18559 4.73550i 0.350197 0.180539i
\(689\) −0.0544999 0.0943965i −0.00207628 0.00359622i
\(690\) −12.6916 8.98530i −0.483161 0.342065i
\(691\) −3.09469 + 5.36015i −0.117727 + 0.203910i −0.918867 0.394568i \(-0.870894\pi\)
0.801139 + 0.598478i \(0.204228\pi\)
\(692\) 16.5249 + 10.6199i 0.628181 + 0.403708i
\(693\) 6.60903 10.9983i 0.251056 0.417790i
\(694\) 2.10164 + 4.60195i 0.0797772 + 0.174688i
\(695\) 4.88778 4.66049i 0.185404 0.176782i
\(696\) −9.25163 + 0.883424i −0.350682 + 0.0334861i
\(697\) −3.62246 0.698172i −0.137210 0.0264451i
\(698\) −38.6961 30.4309i −1.46467 1.15183i
\(699\) −13.0111 + 3.82039i −0.492124 + 0.144501i
\(700\) −18.7809 10.1019i −0.709852 0.381817i
\(701\) −0.418384 + 0.268879i −0.0158022 + 0.0101554i −0.548518 0.836139i \(-0.684808\pi\)
0.532716 + 0.846294i \(0.321171\pi\)
\(702\) 0.00149932 + 0.0314746i 5.65882e−5 + 0.00118793i
\(703\) −5.29984 + 15.3129i −0.199887 + 0.577536i
\(704\) −44.6952 42.6168i −1.68452 1.60618i
\(705\) −9.87312 7.76430i −0.371843 0.292421i
\(706\) 32.2151 37.1782i 1.21243 1.39922i
\(707\) −0.0583243 0.0389410i −0.00219351 0.00146453i
\(708\) −23.8769 7.01089i −0.897349 0.263485i
\(709\) −40.6369 3.88036i −1.52615 0.145730i −0.702032 0.712145i \(-0.747724\pi\)
−0.824120 + 0.566415i \(0.808330\pi\)
\(710\) −0.398625 + 0.313482i −0.0149601 + 0.0117648i
\(711\) 0.115092 2.41608i 0.00431630 0.0906103i
\(712\) −2.67969 + 4.64136i −0.100426 + 0.173942i
\(713\) 4.99530 7.81990i 0.187075 0.292858i
\(714\) −5.95601 + 36.8382i −0.222898 + 1.37863i
\(715\) −0.0859979 0.0552675i −0.00321614 0.00206689i
\(716\) −33.7854 13.5256i −1.26262 0.505477i
\(717\) 7.37735 10.3600i 0.275512 0.386903i
\(718\) 0.795387 + 3.27863i 0.0296836 + 0.122357i
\(719\) 8.67053 + 12.1761i 0.323356 + 0.454090i 0.943973 0.330024i \(-0.107057\pi\)
−0.620616 + 0.784114i \(0.713117\pi\)
\(720\) 1.53157 1.76752i 0.0570781 0.0658716i
\(721\) 3.17099 + 14.1467i 0.118094 + 0.526850i
\(722\) 29.6861 8.71664i 1.10480 0.324400i
\(723\) 5.62670 1.08446i 0.209259 0.0403314i
\(724\) −38.8947 20.0516i −1.44551 0.745212i
\(725\) −12.5384 6.46398i −0.465663 0.240066i
\(726\) −27.0666 + 5.21666i −1.00454 + 0.193608i
\(727\) 23.7027 6.95974i 0.879084 0.258122i 0.189110 0.981956i \(-0.439440\pi\)
0.689975 + 0.723834i \(0.257622\pi\)
\(728\) 0.0519591 0.0478359i 0.00192573 0.00177292i
\(729\) −0.654861 + 0.755750i −0.0242541 + 0.0279907i
\(730\) −29.1328 40.9113i −1.07825 1.51419i
\(731\) 9.82897 + 40.5156i 0.363538 + 1.49852i
\(732\) −25.3169 + 35.5526i −0.935740 + 1.31406i
\(733\) 37.8353 + 15.1470i 1.39748 + 0.559466i 0.943448 0.331520i \(-0.107561\pi\)
0.454031 + 0.890986i \(0.349986\pi\)
\(734\) 25.6850 + 16.5067i 0.948049 + 0.609274i
\(735\) −2.07857 10.0976i −0.0766693 0.372456i
\(736\) 34.3175 + 4.83810i 1.26496 + 0.178335i
\(737\) −27.7386 + 48.0447i −1.02177 + 1.76975i
\(738\) −0.0603253 + 1.26638i −0.00222061 + 0.0466163i
\(739\) −22.3315 + 17.5617i −0.821477 + 0.646017i −0.937793 0.347196i \(-0.887134\pi\)
0.116316 + 0.993212i \(0.462892\pi\)
\(740\) 30.4106 + 2.90386i 1.11792 + 0.106748i
\(741\) 0.0305437 + 0.00896845i 0.00112205 + 0.000329464i
\(742\) −39.7799 + 19.6349i −1.46037 + 0.720820i
\(743\) 5.20532 6.00727i 0.190965 0.220385i −0.652191 0.758055i \(-0.726150\pi\)
0.843155 + 0.537670i \(0.180695\pi\)
\(744\) −2.83665 2.23077i −0.103997 0.0817839i
\(745\) −20.1408 19.2042i −0.737903 0.703589i
\(746\) 14.4187 41.6601i 0.527906 1.52528i
\(747\) −0.295618 6.20578i −0.0108161 0.227058i
\(748\) 74.4162 47.8244i 2.72093 1.74863i
\(749\) 33.9621 + 18.2676i 1.24095 + 0.667484i
\(750\) −24.3631 + 7.15366i −0.889616 + 0.261215i
\(751\) −35.7517 28.1154i −1.30460 1.02595i −0.997232 0.0743550i \(-0.976310\pi\)
−0.307365 0.951592i \(-0.599447\pi\)
\(752\) 13.2986 + 2.56309i 0.484950 + 0.0934664i
\(753\) 6.53770 0.624275i 0.238247 0.0227498i
\(754\) 0.113636 0.108351i 0.00413836 0.00394592i
\(755\) −5.58709 12.2340i −0.203335 0.445241i
\(756\) 7.53171 + 0.131770i 0.273926 + 0.00479243i
\(757\) 10.2268 + 6.57237i 0.371700 + 0.238877i 0.713133 0.701029i \(-0.247276\pi\)
−0.341433 + 0.939906i \(0.610912\pi\)
\(758\) 8.22150 14.2401i 0.298618 0.517222i
\(759\) 16.0041 16.8770i 0.580911 0.612597i
\(760\) 3.05478 + 5.29104i 0.110809 + 0.191926i
\(761\) 6.62014 3.41292i 0.239980 0.123718i −0.334042 0.942558i \(-0.608413\pi\)
0.574022 + 0.818840i \(0.305382\pi\)
\(762\) −3.16069 21.9831i −0.114500 0.796364i
\(763\) −13.6400 + 3.74717i −0.493800 + 0.135657i
\(764\) 55.7197 + 16.3608i 2.01587 + 0.591913i
\(765\) 5.47282 + 7.68551i 0.197870 + 0.277870i
\(766\) 5.52415 + 1.06469i 0.199595 + 0.0384689i
\(767\) 0.116133 0.0464924i 0.00419330 0.00167874i
\(768\) 1.04572 4.31051i 0.0377341 0.155542i
\(769\) 15.4816 + 17.8668i 0.558282 + 0.644292i 0.962793 0.270242i \(-0.0871036\pi\)
−0.404511 + 0.914533i \(0.632558\pi\)
\(770\) −24.7224 + 33.4630i −0.890932 + 1.20592i