Properties

Label 483.2.bf.a.10.9
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.9
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.473440 + 1.36792i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.0749403 - 0.0589337i) q^{4} +(-1.20704 + 0.115258i) q^{5} +(1.43279 - 0.206005i) q^{6} +(0.607831 - 2.57498i) q^{7} +(-2.31938 + 1.49058i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.473440 + 1.36792i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.0749403 - 0.0589337i) q^{4} +(-1.20704 + 0.115258i) q^{5} +(1.43279 - 0.206005i) q^{6} +(0.607831 - 2.57498i) q^{7} +(-2.31938 + 1.49058i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(0.413798 - 1.70570i) q^{10} +(-3.29839 + 1.14158i) q^{11} +(-0.0180427 + 0.0936146i) q^{12} +(0.982048 + 3.34455i) q^{13} +(3.23459 + 2.05056i) q^{14} +(0.655544 + 1.02005i) q^{15} +(-0.985846 - 4.06371i) q^{16} +(-3.34615 - 1.33960i) q^{17} +(-0.839649 - 1.17912i) q^{18} +(-5.08838 + 2.03708i) q^{19} +(0.0972487 + 0.0624979i) q^{20} +(-2.56726 + 0.639664i) q^{21} -5.05239i q^{22} +(-1.89971 + 4.40353i) q^{23} +(2.38768 + 1.37853i) q^{24} +(-3.46598 + 0.668013i) q^{25} +(-5.04000 - 0.240085i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-0.197305 + 0.157148i) q^{28} +(-0.311765 - 2.16837i) q^{29} +(-1.70570 + 0.413798i) q^{30} +(8.47980 - 0.403943i) q^{31} +(0.536418 + 0.0512217i) q^{32} +(2.52609 + 2.40862i) q^{33} +(3.41666 - 3.94304i) q^{34} +(-0.436889 + 3.17817i) q^{35} +(0.0914757 - 0.0268597i) q^{36} +(-6.95571 - 4.95314i) q^{37} +(-0.377510 - 7.92492i) q^{38} +(2.52275 - 2.40544i) q^{39} +(2.62779 - 2.06651i) q^{40} +(-1.67461 - 0.764770i) q^{41} +(0.340439 - 3.81464i) q^{42} +(-6.27648 + 9.76639i) q^{43} +(0.314460 + 0.108836i) q^{44} +(0.606266 - 1.05008i) q^{45} +(-5.12426 - 4.68345i) q^{46} +(6.20615 - 3.58312i) q^{47} +(-3.16023 + 2.73836i) q^{48} +(-6.26108 - 3.13031i) q^{49} +(0.727149 - 5.05743i) q^{50} +(0.342614 + 3.58802i) q^{51} +(0.123512 - 0.308517i) q^{52} +(-5.62747 - 5.90192i) q^{53} +(-0.663296 + 1.28661i) q^{54} +(3.84971 - 1.75811i) q^{55} +(2.42841 + 6.87838i) q^{56} +(4.14226 + 3.58929i) q^{57} +(3.11375 + 0.600126i) q^{58} +(-4.76661 - 1.15637i) q^{59} +(0.0109885 - 0.115076i) q^{60} +(7.10129 + 3.66097i) q^{61} +(-3.46212 + 11.7909i) q^{62} +(1.74494 + 1.98876i) q^{63} +(3.15016 - 6.89788i) q^{64} +(-1.57086 - 3.92382i) q^{65} +(-4.49074 + 2.31514i) q^{66} +(-1.55830 - 8.08524i) q^{67} +(0.171814 + 0.297591i) q^{68} +(4.78451 - 0.329284i) q^{69} +(-4.14062 - 2.10230i) q^{70} +(10.7453 + 12.4007i) q^{71} +(0.131186 - 2.75393i) q^{72} +(7.51414 - 9.55501i) q^{73} +(10.0686 - 7.16981i) q^{74} +(2.18196 + 2.77458i) q^{75} +(0.501378 + 0.147218i) q^{76} +(0.934694 + 9.18719i) q^{77} +(2.09607 + 4.58974i) q^{78} +(0.771538 - 0.809166i) q^{79} +(1.65833 + 4.79144i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(1.83897 - 1.92865i) q^{82} +(3.80563 + 8.33317i) q^{83} +(0.230089 + 0.103362i) q^{84} +(4.19334 + 1.23128i) q^{85} +(-10.3881 - 13.2095i) q^{86} +(-1.78447 + 1.27071i) q^{87} +(5.94860 - 7.56426i) q^{88} +(-0.375522 + 7.88318i) q^{89} +(1.14939 + 1.32647i) q^{90} +(9.20907 - 0.495836i) q^{91} +(0.401882 - 0.218045i) q^{92} +(-4.24471 - 7.35205i) q^{93} +(1.96317 + 10.1859i) q^{94} +(5.90710 - 3.04532i) q^{95} +(-0.200273 - 0.500258i) q^{96} +(-5.32603 + 11.6624i) q^{97} +(7.24625 - 7.08261i) q^{98} +(0.983347 - 3.34897i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.473440 + 1.36792i −0.334773 + 0.967262i 0.644480 + 0.764621i \(0.277074\pi\)
−0.979253 + 0.202641i \(0.935047\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) −0.0749403 0.0589337i −0.0374702 0.0294669i
\(5\) −1.20704 + 0.115258i −0.539805 + 0.0515451i −0.361398 0.932412i \(-0.617700\pi\)
−0.178407 + 0.983957i \(0.557094\pi\)
\(6\) 1.43279 0.206005i 0.584936 0.0841011i
\(7\) 0.607831 2.57498i 0.229739 0.973252i
\(8\) −2.31938 + 1.49058i −0.820025 + 0.526998i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 0.413798 1.70570i 0.130854 0.539389i
\(11\) −3.29839 + 1.14158i −0.994502 + 0.344200i −0.775378 0.631497i \(-0.782441\pi\)
−0.219123 + 0.975697i \(0.570320\pi\)
\(12\) −0.0180427 + 0.0936146i −0.00520849 + 0.0270242i
\(13\) 0.982048 + 3.34455i 0.272371 + 0.927611i 0.976133 + 0.217175i \(0.0696841\pi\)
−0.703762 + 0.710436i \(0.748498\pi\)
\(14\) 3.23459 + 2.05056i 0.864480 + 0.548036i
\(15\) 0.655544 + 1.02005i 0.169261 + 0.263375i
\(16\) −0.985846 4.06371i −0.246462 1.01593i
\(17\) −3.34615 1.33960i −0.811562 0.324900i −0.0715010 0.997441i \(-0.522779\pi\)
−0.740060 + 0.672540i \(0.765203\pi\)
\(18\) −0.839649 1.17912i −0.197907 0.277922i
\(19\) −5.08838 + 2.03708i −1.16736 + 0.467339i −0.872696 0.488264i \(-0.837630\pi\)
−0.294659 + 0.955602i \(0.595206\pi\)
\(20\) 0.0972487 + 0.0624979i 0.0217455 + 0.0139750i
\(21\) −2.56726 + 0.639664i −0.560222 + 0.139586i
\(22\) 5.05239i 1.07717i
\(23\) −1.89971 + 4.40353i −0.396117 + 0.918200i
\(24\) 2.38768 + 1.37853i 0.487383 + 0.281390i
\(25\) −3.46598 + 0.668013i −0.693196 + 0.133603i
\(26\) −5.04000 0.240085i −0.988425 0.0470845i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −0.197305 + 0.157148i −0.0372870 + 0.0296983i
\(29\) −0.311765 2.16837i −0.0578932 0.402656i −0.998077 0.0619882i \(-0.980256\pi\)
0.940184 0.340668i \(-0.110653\pi\)
\(30\) −1.70570 + 0.413798i −0.311416 + 0.0755488i
\(31\) 8.47980 0.403943i 1.52302 0.0725503i 0.730716 0.682681i \(-0.239186\pi\)
0.792301 + 0.610131i \(0.208883\pi\)
\(32\) 0.536418 + 0.0512217i 0.0948262 + 0.00905480i
\(33\) 2.52609 + 2.40862i 0.439736 + 0.419287i
\(34\) 3.41666 3.94304i 0.585952 0.676225i
\(35\) −0.436889 + 3.17817i −0.0738477 + 0.537209i
\(36\) 0.0914757 0.0268597i 0.0152459 0.00447661i
\(37\) −6.95571 4.95314i −1.14351 0.814291i −0.158599 0.987343i \(-0.550698\pi\)
−0.984913 + 0.173052i \(0.944637\pi\)
\(38\) −0.377510 7.92492i −0.0612402 1.28559i
\(39\) 2.52275 2.40544i 0.403964 0.385179i
\(40\) 2.62779 2.06651i 0.415489 0.326744i
\(41\) −1.67461 0.764770i −0.261530 0.119437i 0.280335 0.959902i \(-0.409554\pi\)
−0.541865 + 0.840465i \(0.682282\pi\)
\(42\) 0.340439 3.81464i 0.0525308 0.588611i
\(43\) −6.27648 + 9.76639i −0.957153 + 1.48936i −0.0872210 + 0.996189i \(0.527799\pi\)
−0.869932 + 0.493171i \(0.835838\pi\)
\(44\) 0.314460 + 0.108836i 0.0474067 + 0.0164076i
\(45\) 0.606266 1.05008i 0.0903768 0.156537i
\(46\) −5.12426 4.68345i −0.755531 0.690538i
\(47\) 6.20615 3.58312i 0.905260 0.522652i 0.0263571 0.999653i \(-0.491609\pi\)
0.878903 + 0.477000i \(0.158276\pi\)
\(48\) −3.16023 + 2.73836i −0.456140 + 0.395248i
\(49\) −6.26108 3.13031i −0.894440 0.447187i
\(50\) 0.727149 5.05743i 0.102834 0.715229i
\(51\) 0.342614 + 3.58802i 0.0479756 + 0.502423i
\(52\) 0.123512 0.308517i 0.0171280 0.0427837i
\(53\) −5.62747 5.90192i −0.772993 0.810692i 0.213075 0.977036i \(-0.431652\pi\)
−0.986068 + 0.166344i \(0.946804\pi\)
\(54\) −0.663296 + 1.28661i −0.0902631 + 0.175086i
\(55\) 3.84971 1.75811i 0.519095 0.237063i
\(56\) 2.42841 + 6.87838i 0.324510 + 0.919163i
\(57\) 4.14226 + 3.58929i 0.548656 + 0.475413i
\(58\) 3.11375 + 0.600126i 0.408855 + 0.0788004i
\(59\) −4.76661 1.15637i −0.620559 0.150546i −0.0868601 0.996221i \(-0.527683\pi\)
−0.533699 + 0.845674i \(0.679198\pi\)
\(60\) 0.0109885 0.115076i 0.00141860 0.0148563i
\(61\) 7.10129 + 3.66097i 0.909227 + 0.468739i 0.848368 0.529407i \(-0.177586\pi\)
0.0608594 + 0.998146i \(0.480616\pi\)
\(62\) −3.46212 + 11.7909i −0.439689 + 1.49744i
\(63\) 1.74494 + 1.98876i 0.219842 + 0.250560i
\(64\) 3.15016 6.89788i 0.393770 0.862236i
\(65\) −1.57086 3.92382i −0.194841 0.486690i
\(66\) −4.49074 + 2.31514i −0.552772 + 0.284974i
\(67\) −1.55830 8.08524i −0.190377 0.987769i −0.943871 0.330314i \(-0.892845\pi\)
0.753494 0.657455i \(-0.228367\pi\)
\(68\) 0.171814 + 0.297591i 0.0208356 + 0.0360882i
\(69\) 4.78451 0.329284i 0.575988 0.0396411i
\(70\) −4.14062 2.10230i −0.494899 0.251273i
\(71\) 10.7453 + 12.4007i 1.27523 + 1.47169i 0.809916 + 0.586545i \(0.199512\pi\)
0.465312 + 0.885147i \(0.345942\pi\)
\(72\) 0.131186 2.75393i 0.0154604 0.324554i
\(73\) 7.51414 9.55501i 0.879464 1.11833i −0.112731 0.993626i \(-0.535960\pi\)
0.992194 0.124703i \(-0.0397979\pi\)
\(74\) 10.0686 7.16981i 1.17045 0.833473i
\(75\) 2.18196 + 2.77458i 0.251951 + 0.320381i
\(76\) 0.501378 + 0.147218i 0.0575120 + 0.0168871i
\(77\) 0.934694 + 9.18719i 0.106518 + 1.04698i
\(78\) 2.09607 + 4.58974i 0.237333 + 0.519686i
\(79\) 0.771538 0.809166i 0.0868048 0.0910382i −0.678899 0.734232i \(-0.737542\pi\)
0.765704 + 0.643194i \(0.222391\pi\)
\(80\) 1.65833 + 4.79144i 0.185407 + 0.535699i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 1.83897 1.92865i 0.203080 0.212984i
\(83\) 3.80563 + 8.33317i 0.417722 + 0.914684i 0.995162 + 0.0982504i \(0.0313246\pi\)
−0.577440 + 0.816433i \(0.695948\pi\)
\(84\) 0.230089 + 0.103362i 0.0251048 + 0.0112777i
\(85\) 4.19334 + 1.23128i 0.454832 + 0.133551i
\(86\) −10.3881 13.2095i −1.12017 1.42442i
\(87\) −1.78447 + 1.27071i −0.191315 + 0.136235i
\(88\) 5.94860 7.56426i 0.634123 0.806353i
\(89\) −0.375522 + 7.88318i −0.0398053 + 0.835616i 0.887386 + 0.461027i \(0.152519\pi\)
−0.927191 + 0.374588i \(0.877784\pi\)
\(90\) 1.14939 + 1.32647i 0.121157 + 0.139822i
\(91\) 9.20907 0.495836i 0.965373 0.0519777i
\(92\) 0.401882 0.218045i 0.0418991 0.0227328i
\(93\) −4.24471 7.35205i −0.440156 0.762372i
\(94\) 1.96317 + 10.1859i 0.202485 + 1.05059i
\(95\) 5.90710 3.04532i 0.606056 0.312443i
\(96\) −0.200273 0.500258i −0.0204403 0.0510574i
\(97\) −5.32603 + 11.6624i −0.540777 + 1.18414i 0.420181 + 0.907440i \(0.361967\pi\)
−0.960958 + 0.276695i \(0.910761\pi\)
\(98\) 7.24625 7.08261i 0.731982 0.715452i
\(99\) 0.983347 3.34897i 0.0988301 0.336584i
\(100\) 0.299110 + 0.154202i 0.0299110 + 0.0154202i
\(101\) −0.107624 + 1.12709i −0.0107090 + 0.112150i −0.999246 0.0388304i \(-0.987637\pi\)
0.988537 + 0.150980i \(0.0482429\pi\)
\(102\) −5.07031 1.23004i −0.502036 0.121793i
\(103\) −6.34723 1.22333i −0.625412 0.120538i −0.133308 0.991075i \(-0.542560\pi\)
−0.492104 + 0.870536i \(0.663772\pi\)
\(104\) −7.26304 6.29346i −0.712200 0.617125i
\(105\) 3.02506 1.06800i 0.295216 0.104226i
\(106\) 10.7376 4.90370i 1.04293 0.476289i
\(107\) −5.35069 + 10.3789i −0.517271 + 1.00337i 0.475083 + 0.879941i \(0.342418\pi\)
−0.992354 + 0.123425i \(0.960612\pi\)
\(108\) −0.0657904 0.0689990i −0.00633069 0.00663943i
\(109\) −7.44000 + 18.5842i −0.712623 + 1.78005i −0.0922537 + 0.995736i \(0.529407\pi\)
−0.620369 + 0.784310i \(0.713017\pi\)
\(110\) 0.582330 + 6.09844i 0.0555230 + 0.581463i
\(111\) −1.21523 + 8.45214i −0.115345 + 0.802242i
\(112\) −11.0632 + 0.0684849i −1.04538 + 0.00647121i
\(113\) 2.16151 1.87296i 0.203338 0.176193i −0.547239 0.836976i \(-0.684321\pi\)
0.750577 + 0.660783i \(0.229776\pi\)
\(114\) −6.87096 + 3.96695i −0.643524 + 0.371539i
\(115\) 1.78549 5.53420i 0.166497 0.516067i
\(116\) −0.104426 + 0.180872i −0.00969575 + 0.0167935i
\(117\) −3.29403 1.14008i −0.304533 0.105400i
\(118\) 3.83851 5.97284i 0.353364 0.549845i
\(119\) −5.48334 + 7.80204i −0.502657 + 0.715212i
\(120\) −3.04091 1.38874i −0.277596 0.126774i
\(121\) 0.929572 0.731023i 0.0845065 0.0664567i
\(122\) −8.36993 + 7.98072i −0.757778 + 0.722540i
\(123\) 0.0875972 + 1.83889i 0.00789838 + 0.165807i
\(124\) −0.659285 0.469475i −0.0592055 0.0421601i
\(125\) 9.92366 2.91385i 0.887599 0.260623i
\(126\) −3.54658 + 1.44537i −0.315955 + 0.128764i
\(127\) 11.5865 13.3715i 1.02813 1.18653i 0.0458820 0.998947i \(-0.485390\pi\)
0.982249 0.187580i \(-0.0600644\pi\)
\(128\) 8.72429 + 8.31859i 0.771126 + 0.735267i
\(129\) 11.5568 + 1.10354i 1.01752 + 0.0971610i
\(130\) 6.11116 0.291110i 0.535984 0.0255321i
\(131\) 17.1527 4.16121i 1.49864 0.363566i 0.599196 0.800602i \(-0.295487\pi\)
0.899444 + 0.437036i \(0.143972\pi\)
\(132\) −0.0473569 0.329375i −0.00412189 0.0286684i
\(133\) 2.15257 + 14.3407i 0.186652 + 1.24350i
\(134\) 11.7977 + 1.69625i 1.01916 + 0.146534i
\(135\) −1.21116 0.0576946i −0.104240 0.00496556i
\(136\) 9.75777 1.88066i 0.836722 0.161265i
\(137\) −2.09232 1.20800i −0.178759 0.103206i 0.407951 0.913004i \(-0.366244\pi\)
−0.586709 + 0.809798i \(0.699577\pi\)
\(138\) −1.81475 + 6.70071i −0.154482 + 0.570402i
\(139\) 3.79799i 0.322141i 0.986943 + 0.161070i \(0.0514946\pi\)
−0.986943 + 0.161070i \(0.948505\pi\)
\(140\) 0.220042 0.212426i 0.0185969 0.0179532i
\(141\) −6.02863 3.87437i −0.507702 0.326280i
\(142\) −22.0503 + 8.82763i −1.85042 + 0.740798i
\(143\) −7.05726 9.91053i −0.590157 0.828760i
\(144\) 3.88205 + 1.55414i 0.323504 + 0.129512i
\(145\) 0.626235 + 2.58138i 0.0520060 + 0.214372i
\(146\) 9.51294 + 14.8024i 0.787297 + 1.22506i
\(147\) 0.0866612 + 6.99946i 0.00714769 + 0.577306i
\(148\) 0.229356 + 0.781116i 0.0188530 + 0.0642073i
\(149\) 3.04073 15.7768i 0.249107 1.29249i −0.614739 0.788731i \(-0.710739\pi\)
0.863845 0.503757i \(-0.168049\pi\)
\(150\) −4.82842 + 1.67113i −0.394239 + 0.136447i
\(151\) −3.71179 + 15.3002i −0.302061 + 1.24511i 0.595188 + 0.803587i \(0.297078\pi\)
−0.897249 + 0.441525i \(0.854438\pi\)
\(152\) 8.76547 12.3094i 0.710974 0.998423i
\(153\) 3.03216 1.94865i 0.245136 0.157539i
\(154\) −13.0098 3.07100i −1.04836 0.247468i
\(155\) −10.1889 + 1.46494i −0.818393 + 0.117667i
\(156\) −0.330817 + 0.0315892i −0.0264866 + 0.00252916i
\(157\) −3.66728 2.88398i −0.292681 0.230167i 0.461011 0.887394i \(-0.347487\pi\)
−0.753692 + 0.657227i \(0.771729\pi\)
\(158\) 0.741593 + 1.43849i 0.0589980 + 0.114440i
\(159\) −2.66718 + 7.70632i −0.211521 + 0.611151i
\(160\) −0.653382 −0.0516544
\(161\) 10.1843 + 7.56833i 0.802637 + 0.596468i
\(162\) 1.44753 0.113729
\(163\) −0.731676 + 2.11404i −0.0573093 + 0.165584i −0.970022 0.243018i \(-0.921863\pi\)
0.912712 + 0.408603i \(0.133984\pi\)
\(164\) 0.0804253 + 0.156003i 0.00628016 + 0.0121818i
\(165\) −3.32671 2.61615i −0.258984 0.203667i
\(166\) −13.2008 + 1.26052i −1.02458 + 0.0978356i
\(167\) −16.1518 + 2.32228i −1.24986 + 0.179703i −0.735296 0.677746i \(-0.762957\pi\)
−0.514568 + 0.857449i \(0.672048\pi\)
\(168\) 5.00099 5.31032i 0.385835 0.409700i
\(169\) 0.714715 0.459320i 0.0549781 0.0353323i
\(170\) −3.66958 + 5.15320i −0.281444 + 0.395233i
\(171\) 1.29219 5.32650i 0.0988166 0.407328i
\(172\) 1.04593 0.362000i 0.0797515 0.0276023i
\(173\) 3.60106 18.6841i 0.273784 1.42053i −0.541128 0.840940i \(-0.682002\pi\)
0.814912 0.579585i \(-0.196785\pi\)
\(174\) −0.893389 3.04260i −0.0677276 0.230659i
\(175\) −0.386609 + 9.33088i −0.0292249 + 0.705348i
\(176\) 7.89077 + 12.2783i 0.594789 + 0.925510i
\(177\) 1.15637 + 4.76661i 0.0869178 + 0.358280i
\(178\) −10.6057 4.24590i −0.794934 0.318243i
\(179\) −1.47169 2.06670i −0.109999 0.154472i 0.755906 0.654680i \(-0.227197\pi\)
−0.865906 + 0.500207i \(0.833257\pi\)
\(180\) −0.107319 + 0.0429641i −0.00799909 + 0.00320235i
\(181\) −3.07304 1.97492i −0.228417 0.146795i 0.421427 0.906862i \(-0.361529\pi\)
−0.649844 + 0.760068i \(0.725166\pi\)
\(182\) −3.68168 + 12.8320i −0.272905 + 0.951170i
\(183\) 7.98943i 0.590596i
\(184\) −2.15764 13.0451i −0.159063 0.961700i
\(185\) 8.96672 + 5.17694i 0.659246 + 0.380616i
\(186\) 12.0666 2.32565i 0.884766 0.170525i
\(187\) 12.5662 + 0.598601i 0.918930 + 0.0437740i
\(188\) −0.676258 0.0972312i −0.0493212 0.00709132i
\(189\) 0.968103 2.46227i 0.0704191 0.179104i
\(190\) 1.36908 + 9.52219i 0.0993238 + 0.690812i
\(191\) 8.48821 2.05922i 0.614185 0.149000i 0.0834142 0.996515i \(-0.473418\pi\)
0.530771 + 0.847515i \(0.321902\pi\)
\(192\) −7.57457 + 0.360821i −0.546648 + 0.0260400i
\(193\) −10.4494 0.997800i −0.752167 0.0718232i −0.288072 0.957609i \(-0.593014\pi\)
−0.464095 + 0.885786i \(0.653620\pi\)
\(194\) −13.4316 12.8070i −0.964332 0.919489i
\(195\) −2.76782 + 3.19423i −0.198208 + 0.228744i
\(196\) 0.284727 + 0.603576i 0.0203376 + 0.0431125i
\(197\) −10.8971 + 3.19968i −0.776386 + 0.227967i −0.645838 0.763475i \(-0.723492\pi\)
−0.130548 + 0.991442i \(0.541674\pi\)
\(198\) 4.11555 + 2.93067i 0.292480 + 0.208274i
\(199\) 0.760206 + 15.9587i 0.0538896 + 1.13128i 0.850223 + 0.526423i \(0.176467\pi\)
−0.796333 + 0.604859i \(0.793230\pi\)
\(200\) 7.04320 6.71568i 0.498030 0.474870i
\(201\) −6.47239 + 5.08995i −0.456527 + 0.359017i
\(202\) −1.49081 0.680829i −0.104893 0.0479030i
\(203\) −5.77302 0.515215i −0.405186 0.0361610i
\(204\) 0.185780 0.289079i 0.0130072 0.0202396i
\(205\) 2.10947 + 0.730095i 0.147332 + 0.0509921i
\(206\) 4.67845 8.10331i 0.325963 0.564584i
\(207\) −2.48507 4.10176i −0.172724 0.285092i
\(208\) 12.6231 7.28797i 0.875257 0.505330i
\(209\) 14.4580 12.5279i 1.00008 0.866573i
\(210\) 0.0287458 + 4.64366i 0.00198365 + 0.320443i
\(211\) −0.626998 + 4.36086i −0.0431643 + 0.300214i 0.956791 + 0.290776i \(0.0939134\pi\)
−0.999955 + 0.00943830i \(0.996996\pi\)
\(212\) 0.0739023 + 0.773940i 0.00507563 + 0.0531544i
\(213\) 6.09841 15.2331i 0.417856 1.04375i
\(214\) −11.6642 12.2331i −0.797350 0.836236i
\(215\) 6.45030 12.5118i 0.439907 0.853301i
\(216\) −2.50790 + 1.14532i −0.170641 + 0.0779292i
\(217\) 4.11414 22.0809i 0.279286 1.49895i
\(218\) −21.8992 18.9758i −1.48320 1.28520i
\(219\) −11.9360 2.30048i −0.806561 0.155452i
\(220\) −0.392111 0.0951250i −0.0264361 0.00641333i
\(221\) 1.19427 12.5069i 0.0803350 0.841306i
\(222\) −10.9865 5.66392i −0.737364 0.380137i
\(223\) 3.91777 13.3427i 0.262353 0.893492i −0.717967 0.696077i \(-0.754927\pi\)
0.980320 0.197415i \(-0.0632547\pi\)
\(224\) 0.457947 1.35013i 0.0305979 0.0902096i
\(225\) 1.46632 3.21079i 0.0977546 0.214053i
\(226\) 1.53871 + 3.84350i 0.102353 + 0.255666i
\(227\) −2.90953 + 1.49997i −0.193112 + 0.0995562i −0.552071 0.833797i \(-0.686162\pi\)
0.358959 + 0.933353i \(0.383132\pi\)
\(228\) −0.0988923 0.513102i −0.00654930 0.0339810i
\(229\) 1.25994 + 2.18228i 0.0832591 + 0.144209i 0.904648 0.426159i \(-0.140134\pi\)
−0.821389 + 0.570368i \(0.806800\pi\)
\(230\) 6.72500 + 5.06251i 0.443433 + 0.333812i
\(231\) 7.73760 5.04060i 0.509096 0.331647i
\(232\) 3.95522 + 4.56457i 0.259673 + 0.299678i
\(233\) 0.829314 17.4094i 0.0543301 1.14053i −0.792917 0.609330i \(-0.791438\pi\)
0.847247 0.531200i \(-0.178259\pi\)
\(234\) 3.11905 3.96620i 0.203899 0.259279i
\(235\) −7.07809 + 5.04029i −0.461724 + 0.328792i
\(236\) 0.289062 + 0.367572i 0.0188163 + 0.0239269i
\(237\) −1.07275 0.314989i −0.0696829 0.0204607i
\(238\) −8.07650 11.1945i −0.523522 0.725635i
\(239\) −2.20041 4.81822i −0.142332 0.311664i 0.825018 0.565106i \(-0.191165\pi\)
−0.967351 + 0.253442i \(0.918437\pi\)
\(240\) 3.49891 3.66955i 0.225854 0.236869i
\(241\) −1.90389 5.50094i −0.122641 0.354347i 0.866923 0.498442i \(-0.166094\pi\)
−0.989564 + 0.144095i \(0.953973\pi\)
\(242\) 0.559881 + 1.61767i 0.0359905 + 0.103988i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) −0.316419 0.692860i −0.0202566 0.0443558i
\(245\) 7.91818 + 3.05677i 0.505874 + 0.195290i
\(246\) −2.55692 0.750780i −0.163023 0.0478680i
\(247\) −11.8102 15.0178i −0.751462 0.955562i
\(248\) −19.0658 + 13.5767i −1.21068 + 0.862120i
\(249\) 5.66297 7.20106i 0.358876 0.456348i
\(250\) −0.712359 + 14.9543i −0.0450536 + 0.945791i
\(251\) −11.3050 13.0467i −0.713567 0.823501i 0.276950 0.960884i \(-0.410676\pi\)
−0.990518 + 0.137383i \(0.956131\pi\)
\(252\) −0.0135614 0.251875i −0.000854291 0.0158666i
\(253\) 1.23899 16.6932i 0.0778946 1.04950i
\(254\) 12.8056 + 22.1799i 0.803492 + 1.39169i
\(255\) −0.827099 4.29140i −0.0517950 0.268738i
\(256\) −2.02920 + 1.04612i −0.126825 + 0.0653827i
\(257\) −3.55459 8.87894i −0.221729 0.553853i 0.775238 0.631669i \(-0.217630\pi\)
−0.996968 + 0.0778157i \(0.975205\pi\)
\(258\) −6.98098 + 15.2862i −0.434617 + 0.951678i
\(259\) −16.9821 + 14.9002i −1.05522 + 0.925851i
\(260\) −0.113524 + 0.386629i −0.00704049 + 0.0239777i
\(261\) 1.94714 + 1.00382i 0.120525 + 0.0621350i
\(262\) −2.42861 + 25.4335i −0.150040 + 1.57129i
\(263\) −5.03810 1.22223i −0.310662 0.0753659i 0.0773967 0.997000i \(-0.475339\pi\)
−0.388059 + 0.921635i \(0.626854\pi\)
\(264\) −9.44919 1.82118i −0.581558 0.112086i
\(265\) 7.47284 + 6.47525i 0.459053 + 0.397771i
\(266\) −20.6360 3.84493i −1.26527 0.235748i
\(267\) 7.17893 3.27851i 0.439343 0.200641i
\(268\) −0.359714 + 0.697747i −0.0219730 + 0.0426217i
\(269\) −13.9716 14.6530i −0.851862 0.893407i 0.143496 0.989651i \(-0.454166\pi\)
−0.995358 + 0.0962437i \(0.969317\pi\)
\(270\) 0.652332 1.62945i 0.0396997 0.0991650i
\(271\) 1.10015 + 11.5213i 0.0668296 + 0.699871i 0.965353 + 0.260946i \(0.0840345\pi\)
−0.898524 + 0.438925i \(0.855359\pi\)
\(272\) −2.14495 + 14.9184i −0.130057 + 0.904564i
\(273\) −4.66056 7.95815i −0.282070 0.481649i
\(274\) 2.64303 2.29020i 0.159671 0.138356i
\(275\) 10.6696 6.16007i 0.643398 0.371466i
\(276\) −0.377959 0.257293i −0.0227505 0.0154872i
\(277\) −8.50630 + 14.7333i −0.511094 + 0.885241i 0.488823 + 0.872383i \(0.337426\pi\)
−0.999917 + 0.0128579i \(0.995907\pi\)
\(278\) −5.19532 1.79812i −0.311595 0.107844i
\(279\) −4.58973 + 7.14175i −0.274780 + 0.427565i
\(280\) −3.72399 8.02260i −0.222551 0.479442i
\(281\) 15.4535 + 7.05737i 0.921878 + 0.421007i 0.819070 0.573694i \(-0.194490\pi\)
0.102808 + 0.994701i \(0.467217\pi\)
\(282\) 8.15400 6.41238i 0.485564 0.381851i
\(283\) 1.77678 1.69415i 0.105618 0.100707i −0.635430 0.772158i \(-0.719177\pi\)
0.741049 + 0.671451i \(0.234329\pi\)
\(284\) −0.0744344 1.56257i −0.00441687 0.0927215i
\(285\) −5.41358 3.85499i −0.320673 0.228350i
\(286\) 16.8980 4.96169i 0.999197 0.293391i
\(287\) −2.98715 + 3.84725i −0.176326 + 0.227096i
\(288\) −0.352877 + 0.407242i −0.0207935 + 0.0239969i
\(289\) −2.90126 2.76634i −0.170662 0.162726i
\(290\) −3.82759 0.365491i −0.224764 0.0214623i
\(291\) 12.8065 0.610047i 0.750728 0.0357616i
\(292\) −1.12622 + 0.273219i −0.0659073 + 0.0159889i
\(293\) 0.550510 + 3.82888i 0.0321611 + 0.223686i 0.999563 0.0295606i \(-0.00941081\pi\)
−0.967402 + 0.253246i \(0.918502\pi\)
\(294\) −9.61570 3.19528i −0.560799 0.186353i
\(295\) 5.88677 + 0.846390i 0.342741 + 0.0492787i
\(296\) 23.5160 + 1.12020i 1.36684 + 0.0651105i
\(297\) −3.42728 + 0.660554i −0.198871 + 0.0383292i
\(298\) 20.1417 + 11.6288i 1.16678 + 0.673641i
\(299\) −16.5934 2.02920i −0.959623 0.117352i
\(300\) 0.336519i 0.0194289i
\(301\) 21.3332 + 22.0981i 1.22963 + 1.27372i
\(302\) −19.1721 12.3211i −1.10323 0.709001i
\(303\) 1.05111 0.420802i 0.0603848 0.0241744i
\(304\) 13.2945 + 18.6695i 0.762491 + 1.07077i
\(305\) −8.99351 3.60046i −0.514967 0.206162i
\(306\) 1.23004 + 5.07031i 0.0703170 + 0.289851i
\(307\) 9.42558 + 14.6665i 0.537946 + 0.837061i 0.998726 0.0504536i \(-0.0160667\pi\)
−0.460780 + 0.887514i \(0.652430\pi\)
\(308\) 0.471389 0.743576i 0.0268599 0.0423692i
\(309\) 1.82113 + 6.20221i 0.103601 + 0.352831i
\(310\) 2.81992 14.6311i 0.160161 0.830992i
\(311\) −28.0224 + 9.69865i −1.58900 + 0.549960i −0.971589 0.236676i \(-0.923942\pi\)
−0.617416 + 0.786636i \(0.711821\pi\)
\(312\) −2.26573 + 9.33948i −0.128272 + 0.528744i
\(313\) 9.54751 13.4076i 0.539657 0.757842i −0.451249 0.892398i \(-0.649021\pi\)
0.990906 + 0.134556i \(0.0429608\pi\)
\(314\) 5.68128 3.65114i 0.320613 0.206046i
\(315\) −2.33544 2.19940i −0.131587 0.123922i
\(316\) −0.105506 + 0.0151695i −0.00593520 + 0.000853353i
\(317\) 12.1877 1.16379i 0.684531 0.0653648i 0.253005 0.967465i \(-0.418581\pi\)
0.431526 + 0.902100i \(0.357975\pi\)
\(318\) −9.27884 7.29696i −0.520331 0.409193i
\(319\) 3.50370 + 6.79622i 0.196169 + 0.380515i
\(320\) −3.00733 + 8.68911i −0.168115 + 0.485736i
\(321\) 11.6770 0.651745
\(322\) −15.1745 + 10.3481i −0.845642 + 0.576679i
\(323\) 19.7554 1.09922
\(324\) −0.0311818 + 0.0900940i −0.00173232 + 0.00500522i
\(325\) −5.63796 10.9361i −0.312738 0.606626i
\(326\) −2.54542 2.00174i −0.140978 0.110866i
\(327\) 19.9275 1.90285i 1.10199 0.105228i
\(328\) 5.02401 0.722343i 0.277404 0.0398847i
\(329\) −5.45419 18.1587i −0.300699 1.00112i
\(330\) 5.15367 3.31206i 0.283700 0.182323i
\(331\) −15.4499 + 21.6964i −0.849204 + 1.19254i 0.130372 + 0.991465i \(0.458383\pi\)
−0.979576 + 0.201075i \(0.935557\pi\)
\(332\) 0.205909 0.848770i 0.0113007 0.0465823i
\(333\) 8.06941 2.79285i 0.442201 0.153047i
\(334\) 4.47023 23.1938i 0.244600 1.26911i
\(335\) 2.81283 + 9.57961i 0.153681 + 0.523390i
\(336\) 5.13033 + 9.80200i 0.279883 + 0.534743i
\(337\) −4.64488 7.22757i −0.253023 0.393711i 0.691386 0.722486i \(-0.257001\pi\)
−0.944408 + 0.328775i \(0.893364\pi\)
\(338\) 0.289935 + 1.19513i 0.0157704 + 0.0650065i
\(339\) −2.65522 1.06299i −0.144212 0.0577336i
\(340\) −0.241687 0.339402i −0.0131073 0.0184066i
\(341\) −27.5085 + 11.0128i −1.48967 + 0.596374i
\(342\) 6.67442 + 4.28939i 0.360911 + 0.231944i
\(343\) −11.8662 + 14.2195i −0.640714 + 0.767780i
\(344\) 32.0075i 1.72573i
\(345\) −5.73715 + 0.948914i −0.308878 + 0.0510878i
\(346\) 23.8534 + 13.7717i 1.28237 + 0.740374i
\(347\) −22.7284 + 4.38054i −1.22013 + 0.235160i −0.758356 0.651840i \(-0.773997\pi\)
−0.461769 + 0.887000i \(0.652785\pi\)
\(348\) 0.208616 + 0.00993762i 0.0111830 + 0.000532712i
\(349\) −25.3782 3.64884i −1.35847 0.195318i −0.575714 0.817651i \(-0.695276\pi\)
−0.782752 + 0.622334i \(0.786185\pi\)
\(350\) −12.5808 4.94646i −0.672473 0.264400i
\(351\) 0.496073 + 3.45026i 0.0264784 + 0.184162i
\(352\) −1.82779 + 0.443417i −0.0974215 + 0.0236342i
\(353\) 4.98564 0.237495i 0.265359 0.0126406i 0.0855192 0.996337i \(-0.472745\pi\)
0.179840 + 0.983696i \(0.442442\pi\)
\(354\) −7.06778 0.674891i −0.375648 0.0358701i
\(355\) −14.3993 13.7297i −0.764233 0.728695i
\(356\) 0.492727 0.568638i 0.0261145 0.0301377i
\(357\) 9.44734 + 1.29868i 0.500006 + 0.0687337i
\(358\) 3.52383 1.03469i 0.186240 0.0546850i
\(359\) 28.0196 + 19.9526i 1.47882 + 1.05306i 0.982785 + 0.184756i \(0.0591493\pi\)
0.496031 + 0.868305i \(0.334790\pi\)
\(360\) 0.159067 + 3.33923i 0.00838356 + 0.175993i
\(361\) 7.99101 7.61941i 0.420580 0.401022i
\(362\) 4.15643 3.26865i 0.218457 0.171796i
\(363\) −1.07571 0.491262i −0.0564603 0.0257846i
\(364\) −0.719353 0.505567i −0.0377043 0.0264989i
\(365\) −7.96858 + 12.3994i −0.417095 + 0.649012i
\(366\) 10.9289 + 3.78252i 0.571261 + 0.197715i
\(367\) −17.0420 + 29.5175i −0.889583 + 1.54080i −0.0492143 + 0.998788i \(0.515672\pi\)
−0.840369 + 0.542015i \(0.817662\pi\)
\(368\) 19.7675 + 3.37868i 1.03045 + 0.176126i
\(369\) 1.59433 0.920489i 0.0829977 0.0479187i
\(370\) −11.3268 + 9.81474i −0.588853 + 0.510244i
\(371\) −18.6179 + 10.9033i −0.966594 + 0.566070i
\(372\) −0.115184 + 0.801122i −0.00597201 + 0.0415362i
\(373\) −1.05469 11.0452i −0.0546095 0.571897i −0.980823 0.194898i \(-0.937562\pi\)
0.926214 0.376998i \(-0.123044\pi\)
\(374\) −6.76817 + 16.9061i −0.349974 + 0.874192i
\(375\) −7.13722 7.48530i −0.368564 0.386539i
\(376\) −9.05351 + 17.5614i −0.466899 + 0.905658i
\(377\) 6.94605 3.17215i 0.357740 0.163374i
\(378\) 2.90984 + 2.49002i 0.149666 + 0.128073i
\(379\) −3.34628 2.89957i −0.171887 0.148941i 0.564669 0.825317i \(-0.309004\pi\)
−0.736556 + 0.676377i \(0.763549\pi\)
\(380\) −0.622152 0.119910i −0.0319157 0.00615125i
\(381\) −17.1943 4.17128i −0.880889 0.213701i
\(382\) −1.20182 + 12.5861i −0.0614906 + 0.643959i
\(383\) −4.09620 2.11174i −0.209306 0.107905i 0.350386 0.936605i \(-0.386050\pi\)
−0.559692 + 0.828701i \(0.689081\pi\)
\(384\) 3.39616 11.5663i 0.173310 0.590238i
\(385\) −2.18712 10.9816i −0.111466 0.559673i
\(386\) 6.31209 13.8215i 0.321277 0.703498i
\(387\) −4.31475 10.7777i −0.219331 0.547863i
\(388\) 1.08644 0.560100i 0.0551558 0.0284348i
\(389\) 4.07207 + 21.1279i 0.206462 + 1.07123i 0.926215 + 0.376996i \(0.123043\pi\)
−0.719753 + 0.694231i \(0.755745\pi\)
\(390\) −3.05904 5.29842i −0.154901 0.268296i
\(391\) 12.2557 12.1900i 0.619797 0.616477i
\(392\) 19.1878 2.07223i 0.969130 0.104663i
\(393\) −11.5585 13.3392i −0.583047 0.672872i
\(394\) 0.782236 16.4212i 0.0394085 0.827286i
\(395\) −0.838015 + 1.06562i −0.0421651 + 0.0536173i
\(396\) −0.271060 + 0.193021i −0.0136213 + 0.00969966i
\(397\) −2.04352 2.59854i −0.102561 0.130417i 0.732063 0.681237i \(-0.238558\pi\)
−0.834624 + 0.550820i \(0.814315\pi\)
\(398\) −22.1901 6.51559i −1.11229 0.326597i
\(399\) 11.7602 8.48458i 0.588745 0.424760i
\(400\) 6.13154 + 13.4262i 0.306577 + 0.671310i
\(401\) −5.55234 + 5.82312i −0.277270 + 0.290793i −0.847614 0.530613i \(-0.821962\pi\)
0.570344 + 0.821406i \(0.306810\pi\)
\(402\) −3.89832 11.2635i −0.194431 0.561771i
\(403\) 9.67858 + 27.9644i 0.482124 + 1.39301i
\(404\) 0.0744889 0.0781217i 0.00370596 0.00388670i
\(405\) 0.503704 + 1.10296i 0.0250292 + 0.0548064i
\(406\) 3.43795 7.65307i 0.170622 0.379816i
\(407\) 28.5971 + 8.39685i 1.41750 + 0.416217i
\(408\) −6.14287 7.81129i −0.304117 0.386716i
\(409\) −6.54695 + 4.66206i −0.323726 + 0.230524i −0.730353 0.683070i \(-0.760644\pi\)
0.406627 + 0.913594i \(0.366705\pi\)
\(410\) −1.99742 + 2.53992i −0.0986454 + 0.125438i
\(411\) −0.114958 + 2.41327i −0.00567046 + 0.119038i
\(412\) 0.403569 + 0.465743i 0.0198824 + 0.0229455i
\(413\) −5.87492 + 11.5711i −0.289086 + 0.569374i
\(414\) 6.78739 1.45743i 0.333582 0.0716287i
\(415\) −5.55402 9.61984i −0.272636 0.472219i
\(416\) 0.355475 + 1.84438i 0.0174286 + 0.0904280i
\(417\) 3.37578 1.74034i 0.165313 0.0852247i
\(418\) 10.2921 + 25.7085i 0.503404 + 1.25744i
\(419\) 7.52982 16.4880i 0.367856 0.805492i −0.631686 0.775224i \(-0.717637\pi\)
0.999542 0.0302675i \(-0.00963591\pi\)
\(420\) −0.289640 0.0982421i −0.0141330 0.00479372i
\(421\) −9.16078 + 31.1988i −0.446469 + 1.52053i 0.362103 + 0.932138i \(0.382059\pi\)
−0.808572 + 0.588397i \(0.799759\pi\)
\(422\) −5.66845 2.92229i −0.275936 0.142255i
\(423\) −0.681195 + 7.13380i −0.0331208 + 0.346857i
\(424\) 21.8495 + 5.30063i 1.06111 + 0.257422i
\(425\) 12.4926 + 2.40775i 0.605979 + 0.116793i
\(426\) 17.9504 + 15.5541i 0.869698 + 0.753597i
\(427\) 13.7433 16.0605i 0.665086 0.777220i
\(428\) 1.01265 0.462462i 0.0489483 0.0223539i
\(429\) −5.57501 + 10.8140i −0.269164 + 0.522105i
\(430\) 14.0613 + 14.7471i 0.678097 + 0.711167i
\(431\) −2.05345 + 5.12926i −0.0989110 + 0.247068i −0.969568 0.244823i \(-0.921270\pi\)
0.870657 + 0.491891i \(0.163694\pi\)
\(432\) −0.397485 4.16265i −0.0191240 0.200276i
\(433\) 1.65388 11.5030i 0.0794806 0.552800i −0.910707 0.413054i \(-0.864462\pi\)
0.990187 0.139746i \(-0.0446287\pi\)
\(434\) 28.2570 + 16.0818i 1.35638 + 0.771950i
\(435\) 2.00746 1.73948i 0.0962505 0.0834015i
\(436\) 1.65279 0.954241i 0.0791545 0.0456999i
\(437\) 0.696111 26.2767i 0.0332995 1.25699i
\(438\) 8.79784 15.2383i 0.420377 0.728114i
\(439\) 27.9632 + 9.67817i 1.33461 + 0.461914i 0.898893 0.438169i \(-0.144373\pi\)
0.435719 + 0.900083i \(0.356494\pi\)
\(440\) −6.30836 + 9.81600i −0.300739 + 0.467959i
\(441\) 6.18166 3.28437i 0.294365 0.156398i
\(442\) 16.5430 + 7.55493i 0.786870 + 0.359351i
\(443\) −22.8018 + 17.9315i −1.08335 + 0.851953i −0.989629 0.143646i \(-0.954117\pi\)
−0.0937173 + 0.995599i \(0.529875\pi\)
\(444\) 0.589186 0.561788i 0.0279615 0.0266613i
\(445\) −0.455333 9.55861i −0.0215848 0.453121i
\(446\) 16.3968 + 11.6761i 0.776413 + 0.552881i
\(447\) −15.4163 + 4.52665i −0.729168 + 0.214103i
\(448\) −15.8472 12.3044i −0.748709 0.581326i
\(449\) −20.7118 + 23.9027i −0.977450 + 1.12804i 0.0143058 + 0.999898i \(0.495446\pi\)
−0.991756 + 0.128140i \(0.959099\pi\)
\(450\) 3.69787 + 3.52592i 0.174319 + 0.166213i
\(451\) 6.39657 + 0.610798i 0.301203 + 0.0287614i
\(452\) −0.272365 + 0.0129744i −0.0128110 + 0.000610262i
\(453\) 15.3002 3.71179i 0.718866 0.174395i
\(454\) −0.674339 4.69013i −0.0316483 0.220119i
\(455\) −11.0586 + 1.65992i −0.518434 + 0.0778181i
\(456\) −14.9576 2.15058i −0.700453 0.100710i
\(457\) 4.91773 + 0.234260i 0.230041 + 0.0109582i 0.162286 0.986744i \(-0.448113\pi\)
0.0677553 + 0.997702i \(0.478416\pi\)
\(458\) −3.58168 + 0.690312i −0.167361 + 0.0322562i
\(459\) −3.12145 1.80217i −0.145697 0.0841181i
\(460\) −0.459956 + 0.309510i −0.0214456 + 0.0144310i
\(461\) 30.8742i 1.43796i 0.695032 + 0.718978i \(0.255390\pi\)
−0.695032 + 0.718978i \(0.744610\pi\)
\(462\) 3.23183 + 12.9708i 0.150358 + 0.603456i
\(463\) 9.74406 + 6.26213i 0.452845 + 0.291026i 0.747113 0.664697i \(-0.231439\pi\)
−0.294268 + 0.955723i \(0.595076\pi\)
\(464\) −8.50428 + 3.40460i −0.394801 + 0.158055i
\(465\) 5.97092 + 8.38499i 0.276895 + 0.388845i
\(466\) 23.4220 + 9.37675i 1.08500 + 0.434370i
\(467\) −0.833967 3.43766i −0.0385914 0.159076i 0.949256 0.314506i \(-0.101839\pi\)
−0.987847 + 0.155430i \(0.950324\pi\)
\(468\) 0.179667 + 0.279567i 0.00830511 + 0.0129230i
\(469\) −21.7665 0.901860i −1.00509 0.0416440i
\(470\) −3.54363 12.0685i −0.163456 0.556679i
\(471\) −0.882940 + 4.58113i −0.0406837 + 0.211087i
\(472\) 12.7792 4.42293i 0.588211 0.203582i
\(473\) 9.55311 39.3785i 0.439252 1.81062i
\(474\) 0.938763 1.31831i 0.0431188 0.0605519i
\(475\) 16.2754 10.4596i 0.746769 0.479919i
\(476\) 0.870727 0.261534i 0.0399097 0.0119874i
\(477\) 8.07182 1.16055i 0.369583 0.0531380i
\(478\) 7.63267 0.728832i 0.349110 0.0333360i
\(479\) 9.74819 + 7.66606i 0.445406 + 0.350271i 0.815534 0.578710i \(-0.196444\pi\)
−0.370127 + 0.928981i \(0.620686\pi\)
\(480\) 0.299397 + 0.580749i 0.0136655 + 0.0265075i
\(481\) 9.73517 28.1279i 0.443885 1.28252i
\(482\) 8.42620 0.383803
\(483\) 2.06028 12.5202i 0.0937459 0.569689i
\(484\) −0.112744 −0.00512474
\(485\) 5.08455 14.6908i 0.230878 0.667077i
\(486\) −0.663296 1.28661i −0.0300877 0.0583620i
\(487\) −14.7083 11.5667i −0.666496 0.524138i 0.226610 0.973986i \(-0.427236\pi\)
−0.893105 + 0.449848i \(0.851478\pi\)
\(488\) −21.9275 + 2.09383i −0.992614 + 0.0947831i
\(489\) 2.21431 0.318369i 0.100134 0.0143972i
\(490\) −7.93019 + 9.38420i −0.358249 + 0.423935i
\(491\) 5.02524 3.22952i 0.226786 0.145746i −0.422314 0.906450i \(-0.638782\pi\)
0.649100 + 0.760703i \(0.275146\pi\)
\(492\) 0.101808 0.142970i 0.00458987 0.00644557i
\(493\) −1.86153 + 7.67334i −0.0838392 + 0.345590i
\(494\) 26.1345 9.04525i 1.17585 0.406965i
\(495\) −0.800943 + 4.15569i −0.0359997 + 0.186784i
\(496\) −10.0013 34.0613i −0.449071 1.52940i
\(497\) 38.4629 20.1313i 1.72530 0.903014i
\(498\) 7.16936 + 11.1557i 0.321266 + 0.499900i
\(499\) 1.69104 + 6.97058i 0.0757016 + 0.312046i 0.997056 0.0766776i \(-0.0244312\pi\)
−0.921354 + 0.388724i \(0.872916\pi\)
\(500\) −0.915407 0.366474i −0.0409382 0.0163892i
\(501\) 9.46531 + 13.2922i 0.422879 + 0.593850i
\(502\) 23.1990 9.28750i 1.03542 0.414521i
\(503\) −33.5613 21.5685i −1.49642 0.961693i −0.995354 0.0962862i \(-0.969304\pi\)
−0.501070 0.865407i \(-0.667060\pi\)
\(504\) −7.01158 2.01173i −0.312321 0.0896094i
\(505\) 1.37285i 0.0610909i
\(506\) 22.2483 + 9.59808i 0.989060 + 0.426687i
\(507\) −0.735761 0.424792i −0.0326763 0.0188657i
\(508\) −1.65632 + 0.319230i −0.0734875 + 0.0141636i
\(509\) 33.8459 + 1.61228i 1.50019 + 0.0714629i 0.781517 0.623884i \(-0.214446\pi\)
0.718674 + 0.695347i \(0.244749\pi\)
\(510\) 6.26185 + 0.900318i 0.277279 + 0.0398668i
\(511\) −20.0367 25.1566i −0.886369 1.11286i
\(512\) 2.96078 + 20.5927i 0.130849 + 0.910076i
\(513\) −5.32650 + 1.29219i −0.235171 + 0.0570518i
\(514\) 13.8285 0.658734i 0.609950 0.0290555i
\(515\) 7.80237 + 0.745036i 0.343814 + 0.0328302i
\(516\) −0.801032 0.763782i −0.0352635 0.0336236i
\(517\) −16.3799 + 18.9034i −0.720386 + 0.831369i
\(518\) −12.3421 30.2845i −0.542282 1.33062i
\(519\) −18.2572 + 5.36079i −0.801402 + 0.235313i
\(520\) 9.49216 + 6.75934i 0.416259 + 0.296417i
\(521\) −0.856025 17.9702i −0.0375031 0.787288i −0.936782 0.349913i \(-0.886211\pi\)
0.899279 0.437375i \(-0.144092\pi\)
\(522\) −2.29500 + 2.18828i −0.100449 + 0.0957783i
\(523\) −12.1135 + 9.52615i −0.529686 + 0.416550i −0.846859 0.531818i \(-0.821509\pi\)
0.317173 + 0.948368i \(0.397267\pi\)
\(524\) −1.53067 0.699032i −0.0668675 0.0305373i
\(525\) 8.47077 3.93202i 0.369695 0.171608i
\(526\) 4.05714 6.31304i 0.176900 0.275261i
\(527\) −28.9158 10.0079i −1.25959 0.435950i
\(528\) 7.29761 12.6398i 0.317588 0.550078i
\(529\) −15.7822 16.7309i −0.686182 0.727430i
\(530\) −12.3955 + 7.15656i −0.538428 + 0.310861i
\(531\) 3.70685 3.21200i 0.160864 0.139389i
\(532\) 0.683837 1.20156i 0.0296481 0.0520941i
\(533\) 0.913260 6.35186i 0.0395577 0.275130i
\(534\) 1.08593 + 11.3723i 0.0469926 + 0.492129i
\(535\) 5.26225 13.1445i 0.227507 0.568285i
\(536\) 15.6660 + 16.4300i 0.676666 + 0.709667i
\(537\) −1.16259 + 2.25511i −0.0501694 + 0.0973151i
\(538\) 26.6587 12.1746i 1.14934 0.524886i
\(539\) 24.2250 + 3.17744i 1.04344 + 0.136862i
\(540\) 0.0873644 + 0.0757017i 0.00375957 + 0.00325768i
\(541\) 6.15765 + 1.18679i 0.264738 + 0.0510240i 0.319893 0.947454i \(-0.396353\pi\)
−0.0551549 + 0.998478i \(0.517565\pi\)
\(542\) −16.2811 3.94974i −0.699331 0.169656i
\(543\) −0.347233 + 3.63639i −0.0149012 + 0.156052i
\(544\) −1.72632 0.889980i −0.0740154 0.0381576i
\(545\) 6.83840 23.2894i 0.292925 0.997610i
\(546\) 13.0926 2.60754i 0.560310 0.111593i
\(547\) 2.20930 4.83770i 0.0944630 0.206845i −0.856502 0.516144i \(-0.827367\pi\)
0.950965 + 0.309299i \(0.100094\pi\)
\(548\) 0.0856071 + 0.213836i 0.00365695 + 0.00913463i
\(549\) −7.10129 + 3.66097i −0.303076 + 0.156246i
\(550\) 3.37506 + 17.5115i 0.143913 + 0.746692i
\(551\) 6.00353 + 10.3984i 0.255759 + 0.442987i
\(552\) −10.6063 + 7.89541i −0.451433 + 0.336051i
\(553\) −1.61462 2.47853i −0.0686608 0.105398i
\(554\) −16.1267 18.6112i −0.685159 0.790716i
\(555\) 0.492657 10.3421i 0.0209121 0.439000i
\(556\) 0.223829 0.284622i 0.00949248 0.0120707i
\(557\) 4.06896 2.89750i 0.172408 0.122771i −0.490596 0.871387i \(-0.663221\pi\)
0.663003 + 0.748616i \(0.269281\pi\)
\(558\) −7.59635 9.65955i −0.321579 0.408921i
\(559\) −38.8279 11.4009i −1.64225 0.482207i
\(560\) 13.3459 1.35779i 0.563966 0.0573773i
\(561\) −5.22610 11.4436i −0.220646 0.483147i
\(562\) −16.9702 + 17.7978i −0.715844 + 0.750756i
\(563\) −1.34042 3.87290i −0.0564921 0.163223i 0.913224 0.407458i \(-0.133585\pi\)
−0.969716 + 0.244234i \(0.921463\pi\)
\(564\) 0.223457 + 0.645636i 0.00940923 + 0.0271862i
\(565\) −2.39316 + 2.50987i −0.100681 + 0.105591i
\(566\) 1.47626 + 3.23256i 0.0620518 + 0.135875i
\(567\) −2.63216 + 0.267793i −0.110540 + 0.0112463i
\(568\) −43.4065 12.7453i −1.82130 0.534781i
\(569\) −19.3618 24.6205i −0.811689 1.03215i −0.998759 0.0498004i \(-0.984141\pi\)
0.187070 0.982347i \(-0.440101\pi\)
\(570\) 7.83631 5.58021i 0.328227 0.233729i
\(571\) −2.20067 + 2.79838i −0.0920951 + 0.117108i −0.829917 0.557887i \(-0.811612\pi\)
0.737822 + 0.674996i \(0.235855\pi\)
\(572\) −0.0551913 + 1.15861i −0.00230767 + 0.0484439i
\(573\) −5.71983 6.60103i −0.238949 0.275762i
\(574\) −3.84847 5.90761i −0.160632 0.246579i
\(575\) 3.64275 16.5316i 0.151913 0.689415i
\(576\) 3.79158 + 6.56721i 0.157982 + 0.273634i
\(577\) 5.41540 + 28.0978i 0.225446 + 1.16973i 0.901468 + 0.432845i \(0.142490\pi\)
−0.676022 + 0.736881i \(0.736298\pi\)
\(578\) 5.15769 2.65897i 0.214532 0.110599i
\(579\) 3.90133 + 9.74505i 0.162134 + 0.404990i
\(580\) 0.105200 0.230356i 0.00436819 0.00956500i
\(581\) 23.7709 4.73427i 0.986185 0.196411i
\(582\) −5.22860 + 17.8070i −0.216733 + 0.738123i
\(583\) 25.2991 + 13.0426i 1.04778 + 0.540170i
\(584\) −3.18569 + 33.3621i −0.131825 + 1.38053i
\(585\) 4.10743 + 0.996453i 0.169822 + 0.0411983i
\(586\) −5.49822 1.05969i −0.227129 0.0437756i
\(587\) 3.86208 + 3.34651i 0.159405 + 0.138125i 0.730911 0.682472i \(-0.239095\pi\)
−0.571506 + 0.820598i \(0.693641\pi\)
\(588\) 0.406010 0.529649i 0.0167436 0.0218424i
\(589\) −42.3256 + 19.3295i −1.74400 + 0.796457i
\(590\) −3.94482 + 7.65189i −0.162406 + 0.315023i
\(591\) 7.83732 + 8.21955i 0.322384 + 0.338107i
\(592\) −13.2709 + 33.1490i −0.545430 + 1.36242i
\(593\) 2.06092 + 21.5829i 0.0846316 + 0.886303i 0.933709 + 0.358034i \(0.116553\pi\)
−0.849077 + 0.528269i \(0.822841\pi\)
\(594\) 0.719030 5.00096i 0.0295021 0.205192i
\(595\) 5.71937 10.0494i 0.234471 0.411985i
\(596\) −1.15766 + 1.00312i −0.0474196 + 0.0410893i
\(597\) 13.8363 7.98840i 0.566282 0.326943i
\(598\) 10.6318 21.7377i 0.434765 0.888921i
\(599\) −0.327879 + 0.567903i −0.0133968 + 0.0232039i −0.872646 0.488353i \(-0.837598\pi\)
0.859249 + 0.511557i \(0.170931\pi\)
\(600\) −9.19652 3.18294i −0.375446 0.129943i
\(601\) 5.28393 8.22196i 0.215536 0.335381i −0.716603 0.697481i \(-0.754304\pi\)
0.932139 + 0.362101i \(0.117940\pi\)
\(602\) −40.3284 + 18.7199i −1.64366 + 0.762967i
\(603\) 7.48995 + 3.42054i 0.305014 + 0.139295i
\(604\) 1.17986 0.927852i 0.0480078 0.0377538i
\(605\) −1.03777 + 0.989516i −0.0421915 + 0.0402295i
\(606\) 0.0779826 + 1.63706i 0.00316783 + 0.0665009i
\(607\) 6.54851 + 4.66317i 0.265796 + 0.189272i 0.705183 0.709026i \(-0.250865\pi\)
−0.439387 + 0.898298i \(0.644804\pi\)
\(608\) −2.83384 + 0.832092i −0.114928 + 0.0337458i
\(609\) 2.18741 + 5.36735i 0.0886383 + 0.217496i
\(610\) 9.18301 10.5978i 0.371809 0.429091i
\(611\) 18.0787 + 17.2380i 0.731384 + 0.697374i
\(612\) −0.342073 0.0326640i −0.0138275 0.00132036i
\(613\) −36.7914 + 1.75259i −1.48599 + 0.0707865i −0.774797 0.632210i \(-0.782148\pi\)
−0.711193 + 0.702996i \(0.751845\pi\)
\(614\) −24.5250 + 5.94969i −0.989747 + 0.240110i
\(615\) −0.317681 2.20952i −0.0128101 0.0890965i
\(616\) −15.8621 19.9153i −0.639102 0.802412i
\(617\) −11.5366 1.65872i −0.464447 0.0667775i −0.0938810 0.995583i \(-0.529927\pi\)
−0.370566 + 0.928806i \(0.620836\pi\)
\(618\) −9.34629 0.445219i −0.375963 0.0179093i
\(619\) 40.6763 7.83971i 1.63492 0.315105i 0.712610 0.701560i \(-0.247513\pi\)
0.922308 + 0.386456i \(0.126301\pi\)
\(620\) 0.849895 + 0.490687i 0.0341326 + 0.0197065i
\(621\) −2.50706 + 4.08835i −0.100605 + 0.164060i
\(622\) 42.9240i 1.72110i
\(623\) 20.0708 + 5.75861i 0.804120 + 0.230714i
\(624\) −12.2621 7.88035i −0.490875 0.315466i
\(625\) 4.74219 1.89849i 0.189688 0.0759395i
\(626\) 13.8203 + 19.4079i 0.552370 + 0.775695i
\(627\) −17.7603 7.11014i −0.709277 0.283952i
\(628\) 0.104863 + 0.432253i 0.00418451 + 0.0172488i
\(629\) 16.6397 + 25.8918i 0.663467 + 1.03237i
\(630\) 4.11428 2.15340i 0.163917 0.0857935i
\(631\) −12.8891 43.8961i −0.513106 1.74748i −0.653047 0.757317i \(-0.726510\pi\)
0.139942 0.990160i \(-0.455308\pi\)
\(632\) −0.583367 + 3.02680i −0.0232051 + 0.120400i
\(633\) 4.16340 1.44097i 0.165480 0.0572733i
\(634\) −4.17820 + 17.2228i −0.165937 + 0.684003i
\(635\) −12.4441 + 17.4754i −0.493831 + 0.693488i
\(636\) 0.654041 0.420327i 0.0259344 0.0166670i
\(637\) 4.32080 24.0146i 0.171196 0.951493i
\(638\) −10.9554 + 1.57516i −0.433730 + 0.0623610i
\(639\) −16.3342 + 1.55972i −0.646170 + 0.0617018i
\(640\) −11.4894 9.03534i −0.454157 0.357153i
\(641\) 9.84101 + 19.0889i 0.388697 + 0.753966i 0.999278 0.0379870i \(-0.0120946\pi\)
−0.610582 + 0.791953i \(0.709064\pi\)
\(642\) −5.52834 + 15.9731i −0.218186 + 0.630408i
\(643\) 16.5927 0.654353 0.327176 0.944963i \(-0.393903\pi\)
0.327176 + 0.944963i \(0.393903\pi\)
\(644\) −0.317186 1.16737i −0.0124989 0.0460010i
\(645\) −14.0767 −0.554268
\(646\) −9.35299 + 27.0237i −0.367989 + 1.06323i
\(647\) −14.2300 27.6024i −0.559440 1.08516i −0.983733 0.179637i \(-0.942508\pi\)
0.424293 0.905525i \(-0.360523\pi\)
\(648\) 2.16719 + 1.70430i 0.0851352 + 0.0669511i
\(649\) 17.0422 1.62733i 0.668965 0.0638784i
\(650\) 17.6289 2.53465i 0.691463 0.0994173i
\(651\) −21.5115 + 6.46125i −0.843101 + 0.253236i
\(652\) 0.179420 0.115306i 0.00702664 0.00451575i
\(653\) −5.39391 + 7.57468i −0.211080 + 0.296420i −0.906519 0.422165i \(-0.861270\pi\)
0.695439 + 0.718585i \(0.255210\pi\)
\(654\) −6.83155 + 28.1600i −0.267135 + 1.10114i
\(655\) −20.2244 + 6.99974i −0.790234 + 0.273503i
\(656\) −1.45690 + 7.55909i −0.0568822 + 0.295133i
\(657\) 3.42465 + 11.6633i 0.133608 + 0.455028i
\(658\) 27.4218 + 1.13617i 1.06901 + 0.0442927i
\(659\) 17.8499 + 27.7750i 0.695335 + 1.08196i 0.991909 + 0.126952i \(0.0405194\pi\)
−0.296574 + 0.955010i \(0.595844\pi\)
\(660\) 0.0951250 + 0.392111i 0.00370274 + 0.0152629i
\(661\) −20.3055 8.12910i −0.789793 0.316185i −0.0585340 0.998285i \(-0.518643\pi\)
−0.731259 + 0.682100i \(0.761067\pi\)
\(662\) −22.3642 31.4061i −0.869208 1.22063i
\(663\) −11.6638 + 4.66950i −0.452986 + 0.181348i
\(664\) −21.2479 13.6552i −0.824579 0.529925i
\(665\) −4.25113 17.0617i −0.164852 0.661625i
\(666\) 12.3605i 0.478961i
\(667\) 10.1407 + 2.74641i 0.392651 + 0.106342i
\(668\) 1.34728 + 0.777854i 0.0521279 + 0.0300961i
\(669\) −13.6547 + 2.63172i −0.527920 + 0.101748i
\(670\) −14.4358 0.687662i −0.557703 0.0265667i
\(671\) −27.6021 3.96859i −1.06557 0.153206i
\(672\) −1.40989 + 0.211628i −0.0543877 + 0.00816371i
\(673\) 4.60623 + 32.0370i 0.177557 + 1.23494i 0.862393 + 0.506239i \(0.168965\pi\)
−0.684836 + 0.728697i \(0.740126\pi\)
\(674\) 12.0858 2.93198i 0.465527 0.112936i
\(675\) −3.52577 + 0.167953i −0.135707 + 0.00646452i
\(676\) −0.0806304 0.00769927i −0.00310117 0.000296126i
\(677\) 6.22329 + 5.93390i 0.239181 + 0.228058i 0.800183 0.599756i \(-0.204736\pi\)
−0.561002 + 0.827814i \(0.689584\pi\)
\(678\) 2.71117 3.12885i 0.104122 0.120163i
\(679\) 26.7931 + 20.8032i 1.02823 + 0.798354i
\(680\) −11.5613 + 3.39470i −0.443355 + 0.130181i
\(681\) 2.66645 + 1.89877i 0.102178 + 0.0727609i
\(682\) −2.04088 42.8432i −0.0781491 1.64055i
\(683\) −2.09135 + 1.99410i −0.0800235 + 0.0763022i −0.729035 0.684476i \(-0.760031\pi\)
0.649012 + 0.760778i \(0.275183\pi\)
\(684\) −0.410748 + 0.323016i −0.0157053 + 0.0123508i
\(685\) 2.66475 + 1.21695i 0.101815 + 0.0464972i
\(686\) −13.8331 22.9640i −0.528151 0.876770i
\(687\) 1.36235 2.11986i 0.0519769 0.0808776i
\(688\) 45.8754 + 15.8776i 1.74898 + 0.605329i
\(689\) 14.2128 24.6173i 0.541465 0.937845i
\(690\) 1.41816 8.29719i 0.0539885 0.315869i
\(691\) −30.2502 + 17.4649i −1.15077 + 0.664397i −0.949075 0.315051i \(-0.897978\pi\)
−0.201695 + 0.979448i \(0.564645\pi\)
\(692\) −1.37099 + 1.18797i −0.0521172 + 0.0451598i
\(693\) −8.02584 4.56771i −0.304876 0.173513i
\(694\) 4.76833 33.1645i 0.181003 1.25891i
\(695\) −0.437750 4.58432i −0.0166048 0.173893i
\(696\) 2.24476 5.60714i 0.0850875 0.212538i
\(697\) 4.57903 + 4.80234i 0.173443 + 0.181902i
\(698\) 17.0064 32.9878i 0.643701 1.24861i
\(699\) −15.8541 + 7.24034i −0.599658 + 0.273855i
\(700\) 0.578876 0.676475i 0.0218795 0.0255684i
\(701\) −8.99672 7.79570i −0.339801 0.294440i 0.468197 0.883624i \(-0.344904\pi\)
−0.807999 + 0.589184i \(0.799449\pi\)
\(702\) −4.95453 0.954908i −0.186997 0.0360407i
\(703\) 45.4833 + 11.0341i 1.71543 + 0.416160i
\(704\) −2.51594 + 26.3481i −0.0948229 + 0.993030i
\(705\) 7.72336 + 3.98167i 0.290878 + 0.149958i
\(706\) −2.03553 + 6.93238i −0.0766082 + 0.260903i
\(707\) 2.83682 + 0.962210i 0.106690 + 0.0361876i
\(708\) 0.194255 0.425360i 0.00730057 0.0159860i
\(709\) −11.1847 27.9380i −0.420050 1.04923i −0.975952 0.217986i \(-0.930051\pi\)
0.555902 0.831248i \(-0.312373\pi\)
\(710\) 25.5982 13.1968i 0.960684 0.495267i
\(711\) 0.211591 + 1.09784i 0.00793528 + 0.0411722i
\(712\) −10.8795 18.8438i −0.407726 0.706203i
\(713\) −14.3304 + 38.1084i −0.536678 + 1.42717i
\(714\) −6.24924 + 12.3083i −0.233872 + 0.460627i
\(715\) 9.66067 + 11.1490i 0.361289 + 0.416949i
\(716\) −0.0115094 + 0.241612i −0.000430126 + 0.00902945i
\(717\) −3.27432 + 4.16363i −0.122282 + 0.155494i
\(718\) −40.5591 + 28.8820i −1.51365 + 1.07787i
\(719\) −28.6867 36.4781i −1.06983 1.36040i −0.928877 0.370389i \(-0.879224\pi\)
−0.140958 0.990016i \(-0.545018\pi\)
\(720\) −4.86492 1.42847i −0.181305 0.0532359i
\(721\) −7.00810 + 15.6004i −0.260995 + 0.580991i
\(722\) 6.63945 + 14.5384i 0.247095 + 0.541062i
\(723\) −4.01702 + 4.21293i −0.149394 + 0.156680i
\(724\) 0.113905 + 0.329107i 0.00423325 + 0.0122312i
\(725\) 2.52907 + 7.30726i 0.0939272 + 0.271385i
\(726\) 1.18129 1.23890i 0.0438418 0.0459800i
\(727\) −10.6937 23.4159i −0.396608 0.868449i −0.997603 0.0691970i \(-0.977956\pi\)
0.600995 0.799252i \(-0.294771\pi\)
\(728\) −20.6203 + 14.8768i −0.764238 + 0.551373i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −13.1886 16.7707i −0.488133 0.620711i
\(731\) 34.0851 24.2719i 1.26068 0.897728i
\(732\) −0.470847 + 0.598731i −0.0174030 + 0.0221297i
\(733\) 0.448593 9.41713i 0.0165692 0.347830i −0.975326 0.220770i \(-0.929143\pi\)
0.991895 0.127060i \(-0.0405540\pi\)
\(734\) −32.3091 37.2867i −1.19255 1.37628i
\(735\) −0.911351 8.43865i −0.0336157 0.311264i
\(736\) −1.24460 + 2.26483i −0.0458764 + 0.0834826i
\(737\) 14.3699 + 24.8893i 0.529321 + 0.916810i
\(738\) 0.504329 + 2.61671i 0.0185646 + 0.0963224i
\(739\) 5.80060 2.99042i 0.213379 0.110004i −0.348224 0.937411i \(-0.613215\pi\)
0.561603 + 0.827407i \(0.310185\pi\)
\(740\) −0.366873 0.916404i −0.0134865 0.0336877i
\(741\) −7.93666 + 17.3789i −0.291560 + 0.638428i
\(742\) −6.10029 30.6298i −0.223949 1.12445i
\(743\) −8.03320 + 27.3586i −0.294710 + 1.00369i 0.670434 + 0.741969i \(0.266108\pi\)
−0.965144 + 0.261720i \(0.915710\pi\)
\(744\) 20.8039 + 10.7251i 0.762707 + 0.393203i
\(745\) −1.85188 + 19.3937i −0.0678476 + 0.710532i
\(746\) 15.6082 + 3.78650i 0.571456 + 0.138634i
\(747\) −8.99548 1.73374i −0.329127 0.0634341i
\(748\) −0.906436 0.785431i −0.0331426 0.0287182i
\(749\) 23.4732 + 20.0866i 0.857691 + 0.733947i
\(750\) 13.6183 6.21927i 0.497270 0.227096i
\(751\) 21.8483 42.3798i 0.797256 1.54646i −0.0397141 0.999211i \(-0.512645\pi\)
0.836970 0.547249i \(-0.184325\pi\)
\(752\) −20.6791 21.6876i −0.754089 0.790866i
\(753\) −6.41611 + 16.0267i −0.233816 + 0.584044i
\(754\) 1.05070 + 11.0034i 0.0382642 + 0.400721i
\(755\) 2.71680 18.8958i 0.0988745 0.687688i
\(756\) −0.217661 + 0.127469i −0.00791625 + 0.00463602i
\(757\) −15.4714 + 13.4061i −0.562318 + 0.487252i −0.889015 0.457877i \(-0.848610\pi\)
0.326697 + 0.945129i \(0.394064\pi\)
\(758\) 5.55062 3.20465i 0.201608 0.116398i
\(759\) −15.4053 + 6.54803i −0.559176 + 0.237678i
\(760\) −9.16153 + 15.8682i −0.332324 + 0.575601i
\(761\) 0.366976 + 0.127012i 0.0133029 + 0.00460417i 0.333711 0.942675i \(-0.391699\pi\)
−0.320408 + 0.947279i \(0.603820\pi\)
\(762\) 13.8464 21.5454i 0.501603 0.780509i
\(763\) 43.3318 + 30.4540i 1.56872 + 1.10251i
\(764\) −0.757467 0.345923i −0.0274042 0.0125151i
\(765\) −3.43535 + 2.70159i −0.124205 + 0.0976761i
\(766\) 4.82798 4.60347i 0.174442 0.166330i
\(767\) −0.813513 17.0777i −0.0293743 0.616642i
\(768\) 1.85966 + 1.32426i 0.0671048 + 0.0477851i
\(769\) −28.5166 + 8.37322i −1.02833 + 0.301946i −0.752033 0.659125i \(-0.770927\pi\)
−0.276300 + 0.961071i \(0.589108\pi\)
\(770\) 16.0573 + 2.20733i 0.578666 + 0.0795467i
\(771\) −6.26311 + 7.22801i −0.225560 + 0.260310i
\(772\) 0.724280 + 0.690600i 0.0260674 + 0.0248552i
\(773\) 51.2259 +