Properties

Label 605.2.s.b.16.15
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.15
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.27289 + 0.146051i) q^{2} +(-1.27498 - 0.926331i) q^{3} +(-0.349093 - 0.0811782i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-1.48763 - 1.36533i) q^{6} +(1.90619 + 1.96142i) q^{7} +(-2.84597 - 1.01544i) q^{8} +(-0.159553 - 0.491055i) q^{9} +O(q^{10})\) \(q+(1.27289 + 0.146051i) q^{2} +(-1.27498 - 0.926331i) q^{3} +(-0.349093 - 0.0811782i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-1.48763 - 1.36533i) q^{6} +(1.90619 + 1.96142i) q^{7} +(-2.84597 - 1.01544i) q^{8} +(-0.159553 - 0.491055i) q^{9} +(-0.839038 + 0.968301i) q^{10} +(-3.25961 - 0.612318i) q^{11} +(0.369891 + 0.426877i) q^{12} +(0.611190 - 1.01354i) q^{13} +(2.13991 + 2.77508i) q^{14} +(1.48432 - 0.529603i) q^{15} +(-2.83105 - 1.39193i) q^{16} +(-5.16855 + 4.22630i) q^{17} +(-0.131376 - 0.648364i) q^{18} +(-4.96239 - 0.283760i) q^{19} +(0.264054 - 0.242346i) q^{20} +(-0.613435 - 4.26654i) q^{21} +(-4.05971 - 1.25549i) q^{22} +(0.180859 - 1.25790i) q^{23} +(2.68794 + 3.93098i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.926009 - 1.20087i) q^{26} +(-1.71245 + 5.27039i) q^{27} +(-0.506212 - 0.839459i) q^{28} +(-3.21753 + 8.26416i) q^{29} +(1.96673 - 0.457343i) q^{30} +(-4.08251 - 1.72528i) q^{31} +(1.68370 + 1.08205i) q^{32} +(3.58875 + 3.80017i) q^{33} +(-7.19628 + 4.62477i) q^{34} +(-2.69503 + 0.466393i) q^{35} +(0.0158361 + 0.184376i) q^{36} +(0.590710 - 6.87751i) q^{37} +(-6.27516 - 1.08596i) q^{38} +(-1.71813 + 0.726090i) q^{39} +(2.44461 - 1.77611i) q^{40} +(8.52192 - 4.81255i) q^{41} +(-0.157706 - 5.52044i) q^{42} +(-5.41645 + 1.59041i) q^{43} +(1.08820 + 0.478366i) q^{44} +(0.495411 + 0.145466i) q^{45} +(0.413931 - 1.57476i) q^{46} +(-0.287985 + 1.42126i) q^{47} +(2.32015 + 4.39718i) q^{48} +(-0.0137270 + 0.480507i) q^{49} +(-0.325716 - 1.23915i) q^{50} +(10.5048 - 0.600685i) q^{51} +(-0.295640 + 0.304206i) q^{52} +(4.27593 - 2.10233i) q^{53} +(-2.94952 + 6.45855i) q^{54} +(2.34532 - 2.34510i) q^{55} +(-3.43325 - 7.51776i) q^{56} +(6.06412 + 4.95861i) q^{57} +(-5.30257 + 10.0495i) q^{58} +(5.05287 + 2.85349i) q^{59} +(-0.561157 + 0.0643868i) q^{60} +(-14.7174 + 1.68867i) q^{61} +(-4.94463 - 2.79236i) q^{62} +(0.659026 - 1.24899i) q^{63} +(6.86955 + 5.61720i) q^{64} +(0.491670 + 1.07661i) q^{65} +(4.01308 + 5.36136i) q^{66} +(4.21255 - 9.22421i) q^{67} +(2.14739 - 1.05580i) q^{68} +(-1.39582 + 1.43627i) q^{69} +(-3.49861 + 0.200058i) q^{70} +(3.12561 + 11.8911i) q^{71} +(-0.0445526 + 1.55955i) q^{72} +(-5.49859 - 10.4210i) q^{73} +(1.75638 - 8.66807i) q^{74} +(-0.400640 + 1.52419i) q^{75} +(1.70930 + 0.501897i) q^{76} +(-5.01241 - 7.56065i) q^{77} +(-2.29305 + 0.673300i) q^{78} +(-0.199402 - 6.97998i) q^{79} +(2.74697 - 1.55128i) q^{80} +(5.81233 - 4.22290i) q^{81} +(11.5504 - 4.88123i) q^{82} +(2.77044 + 0.479444i) q^{83} +(-0.132203 + 1.53922i) q^{84} +(-0.571341 - 6.65200i) q^{85} +(-7.12685 + 1.23335i) q^{86} +(11.7576 - 7.55618i) q^{87} +(8.65499 + 5.05258i) q^{88} +(1.85793 + 1.19402i) q^{89} +(0.609361 + 0.257518i) q^{90} +(3.15302 - 0.733204i) q^{91} +(-0.165251 + 0.424442i) q^{92} +(3.60696 + 5.98146i) q^{93} +(-0.574151 + 1.76705i) q^{94} +(3.03523 - 3.93615i) q^{95} +(-1.14436 - 2.93926i) q^{96} +(3.87265 + 5.66357i) q^{97} +(-0.0876516 + 0.609630i) q^{98} +(0.219401 + 1.69835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.27289 + 0.146051i 0.900073 + 0.103274i 0.551661 0.834068i \(-0.313994\pi\)
0.348411 + 0.937342i \(0.386721\pi\)
\(3\) −1.27498 0.926331i −0.736113 0.534817i 0.155379 0.987855i \(-0.450340\pi\)
−0.891491 + 0.453038i \(0.850340\pi\)
\(4\) −0.349093 0.0811782i −0.174547 0.0405891i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) −1.48763 1.36533i −0.607322 0.557395i
\(7\) 1.90619 + 1.96142i 0.720470 + 0.741346i 0.974140 0.225944i \(-0.0725468\pi\)
−0.253670 + 0.967291i \(0.581638\pi\)
\(8\) −2.84597 1.01544i −1.00620 0.359013i
\(9\) −0.159553 0.491055i −0.0531845 0.163685i
\(10\) −0.839038 + 0.968301i −0.265327 + 0.306204i
\(11\) −3.25961 0.612318i −0.982810 0.184621i
\(12\) 0.369891 + 0.426877i 0.106778 + 0.123229i
\(13\) 0.611190 1.01354i 0.169513 0.281107i −0.759979 0.649948i \(-0.774791\pi\)
0.929492 + 0.368841i \(0.120245\pi\)
\(14\) 2.13991 + 2.77508i 0.571914 + 0.741671i
\(15\) 1.48432 0.529603i 0.383249 0.136743i
\(16\) −2.83105 1.39193i −0.707762 0.347983i
\(17\) −5.16855 + 4.22630i −1.25356 + 1.02503i −0.255250 + 0.966875i \(0.582158\pi\)
−0.998308 + 0.0581539i \(0.981479\pi\)
\(18\) −0.131376 0.648364i −0.0309655 0.152821i
\(19\) −4.96239 0.283760i −1.13845 0.0650990i −0.522325 0.852746i \(-0.674935\pi\)
−0.616126 + 0.787648i \(0.711299\pi\)
\(20\) 0.264054 0.242346i 0.0590442 0.0541903i
\(21\) −0.613435 4.26654i −0.133863 0.931034i
\(22\) −4.05971 1.25549i −0.865534 0.267670i
\(23\) 0.180859 1.25790i 0.0377116 0.262290i −0.962239 0.272205i \(-0.912247\pi\)
0.999951 + 0.00991515i \(0.00315614\pi\)
\(24\) 2.68794 + 3.93098i 0.548673 + 0.802409i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) 0.926009 1.20087i 0.181605 0.235510i
\(27\) −1.71245 + 5.27039i −0.329562 + 1.01429i
\(28\) −0.506212 0.839459i −0.0956651 0.158643i
\(29\) −3.21753 + 8.26416i −0.597481 + 1.53462i 0.230040 + 0.973181i \(0.426114\pi\)
−0.827521 + 0.561435i \(0.810249\pi\)
\(30\) 1.96673 0.457343i 0.359074 0.0834990i
\(31\) −4.08251 1.72528i −0.733241 0.309870i −0.00951197 0.999955i \(-0.503028\pi\)
−0.723729 + 0.690085i \(0.757573\pi\)
\(32\) 1.68370 + 1.08205i 0.297639 + 0.191281i
\(33\) 3.58875 + 3.80017i 0.624720 + 0.661525i
\(34\) −7.19628 + 4.62477i −1.23415 + 0.793141i
\(35\) −2.69503 + 0.466393i −0.455543 + 0.0788348i
\(36\) 0.0158361 + 0.184376i 0.00263935 + 0.0307294i
\(37\) 0.590710 6.87751i 0.0971121 1.13066i −0.771859 0.635793i \(-0.780673\pi\)
0.868971 0.494862i \(-0.164782\pi\)
\(38\) −6.27516 1.08596i −1.01797 0.176166i
\(39\) −1.71813 + 0.726090i −0.275122 + 0.116267i
\(40\) 2.44461 1.77611i 0.386526 0.280828i
\(41\) 8.52192 4.81255i 1.33090 0.751594i 0.348310 0.937379i \(-0.386756\pi\)
0.982590 + 0.185785i \(0.0594829\pi\)
\(42\) −0.157706 5.52044i −0.0243346 0.851823i
\(43\) −5.41645 + 1.59041i −0.826000 + 0.242536i −0.667298 0.744791i \(-0.732549\pi\)
−0.158702 + 0.987326i \(0.550731\pi\)
\(44\) 1.08820 + 0.478366i 0.164053 + 0.0721163i
\(45\) 0.495411 + 0.145466i 0.0738515 + 0.0216848i
\(46\) 0.413931 1.57476i 0.0610309 0.232185i
\(47\) −0.287985 + 1.42126i −0.0420069 + 0.207312i −0.995589 0.0938206i \(-0.970092\pi\)
0.953582 + 0.301133i \(0.0973647\pi\)
\(48\) 2.32015 + 4.39718i 0.334885 + 0.634678i
\(49\) −0.0137270 + 0.480507i −0.00196100 + 0.0686439i
\(50\) −0.325716 1.23915i −0.0460632 0.175243i
\(51\) 10.5048 0.600685i 1.47096 0.0841127i
\(52\) −0.295640 + 0.304206i −0.0409979 + 0.0421858i
\(53\) 4.27593 2.10233i 0.587344 0.288778i −0.123255 0.992375i \(-0.539333\pi\)
0.710599 + 0.703598i \(0.248424\pi\)
\(54\) −2.94952 + 6.45855i −0.401379 + 0.878897i
\(55\) 2.34532 2.34510i 0.316242 0.316213i
\(56\) −3.43325 7.51776i −0.458787 1.00460i
\(57\) 6.06412 + 4.95861i 0.803212 + 0.656783i
\(58\) −5.30257 + 10.0495i −0.696261 + 1.31956i
\(59\) 5.05287 + 2.85349i 0.657827 + 0.371492i 0.784215 0.620489i \(-0.213066\pi\)
−0.126388 + 0.991981i \(0.540338\pi\)
\(60\) −0.561157 + 0.0643868i −0.0724451 + 0.00831230i
\(61\) −14.7174 + 1.68867i −1.88438 + 0.216212i −0.978342 0.206994i \(-0.933632\pi\)
−0.906033 + 0.423206i \(0.860905\pi\)
\(62\) −4.94463 2.79236i −0.627968 0.354630i
\(63\) 0.659026 1.24899i 0.0830294 0.157358i
\(64\) 6.86955 + 5.61720i 0.858694 + 0.702151i
\(65\) 0.491670 + 1.07661i 0.0609842 + 0.133537i
\(66\) 4.01308 + 5.36136i 0.493976 + 0.659938i
\(67\) 4.21255 9.22421i 0.514645 1.12692i −0.456782 0.889579i \(-0.650998\pi\)
0.971427 0.237337i \(-0.0762747\pi\)
\(68\) 2.14739 1.05580i 0.260409 0.128035i
\(69\) −1.39582 + 1.43627i −0.168037 + 0.172906i
\(70\) −3.49861 + 0.200058i −0.418163 + 0.0239114i
\(71\) 3.12561 + 11.8911i 0.370942 + 1.41121i 0.846905 + 0.531744i \(0.178463\pi\)
−0.475964 + 0.879465i \(0.657901\pi\)
\(72\) −0.0445526 + 1.55955i −0.00525058 + 0.183794i
\(73\) −5.49859 10.4210i −0.643561 1.21968i −0.962338 0.271854i \(-0.912363\pi\)
0.318777 0.947830i \(-0.396728\pi\)
\(74\) 1.75638 8.66807i 0.204175 1.00764i
\(75\) −0.400640 + 1.52419i −0.0462619 + 0.175999i
\(76\) 1.70930 + 0.501897i 0.196071 + 0.0575715i
\(77\) −5.01241 7.56065i −0.571217 0.861616i
\(78\) −2.29305 + 0.673300i −0.259637 + 0.0762363i
\(79\) −0.199402 6.97998i −0.0224345 0.785309i −0.930460 0.366394i \(-0.880592\pi\)
0.908025 0.418915i \(-0.137589\pi\)
\(80\) 2.74697 1.55128i 0.307120 0.173439i
\(81\) 5.81233 4.22290i 0.645814 0.469211i
\(82\) 11.5504 4.88123i 1.27553 0.539042i
\(83\) 2.77044 + 0.479444i 0.304095 + 0.0526258i 0.320528 0.947239i \(-0.396140\pi\)
−0.0164321 + 0.999865i \(0.505231\pi\)
\(84\) −0.132203 + 1.53922i −0.0144246 + 0.167942i
\(85\) −0.571341 6.65200i −0.0619706 0.721511i
\(86\) −7.12685 + 1.23335i −0.768508 + 0.132996i
\(87\) 11.7576 7.55618i 1.26055 0.810108i
\(88\) 8.65499 + 5.05258i 0.922625 + 0.538607i
\(89\) 1.85793 + 1.19402i 0.196940 + 0.126566i 0.635395 0.772188i \(-0.280837\pi\)
−0.438454 + 0.898754i \(0.644474\pi\)
\(90\) 0.609361 + 0.257518i 0.0642322 + 0.0271448i
\(91\) 3.15302 0.733204i 0.330527 0.0768607i
\(92\) −0.165251 + 0.424442i −0.0172286 + 0.0442512i
\(93\) 3.60696 + 5.98146i 0.374024 + 0.620249i
\(94\) −0.574151 + 1.76705i −0.0592191 + 0.182258i
\(95\) 3.03523 3.93615i 0.311408 0.403840i
\(96\) −1.14436 2.93926i −0.116796 0.299987i
\(97\) 3.87265 + 5.66357i 0.393208 + 0.575049i 0.970383 0.241572i \(-0.0776630\pi\)
−0.577175 + 0.816621i \(0.695845\pi\)
\(98\) −0.0876516 + 0.609630i −0.00885415 + 0.0615820i
\(99\) 0.219401 + 1.69835i 0.0220506 + 0.170690i
\(100\) 0.0510067 + 0.354760i 0.00510067 + 0.0354760i
\(101\) 6.85106 6.28784i 0.681706 0.625664i −0.258604 0.965983i \(-0.583263\pi\)
0.940310 + 0.340320i \(0.110535\pi\)
\(102\) 13.4592 + 0.769625i 1.33266 + 0.0762043i
\(103\) −0.784447 3.87140i −0.0772938 0.381460i 0.922698 0.385524i \(-0.125979\pi\)
−0.999992 + 0.00406366i \(0.998706\pi\)
\(104\) −2.76862 + 2.26389i −0.271486 + 0.221993i
\(105\) 3.86815 + 1.90184i 0.377493 + 0.185601i
\(106\) 5.74985 2.05154i 0.558475 0.199264i
\(107\) −10.7389 13.9265i −1.03817 1.34633i −0.936172 0.351541i \(-0.885658\pi\)
−0.102000 0.994784i \(-0.532524\pi\)
\(108\) 1.02565 1.70084i 0.0986929 0.163664i
\(109\) 3.48278 + 4.01935i 0.333590 + 0.384984i 0.897620 0.440771i \(-0.145295\pi\)
−0.564029 + 0.825755i \(0.690749\pi\)
\(110\) 3.32785 2.64253i 0.317298 0.251955i
\(111\) −7.12399 + 8.22153i −0.676180 + 0.780353i
\(112\) −2.66634 8.20615i −0.251945 0.775408i
\(113\) 10.6076 + 3.78480i 0.997883 + 0.356044i 0.783963 0.620807i \(-0.213195\pi\)
0.213920 + 0.976851i \(0.431377\pi\)
\(114\) 6.99478 + 7.19746i 0.655121 + 0.674104i
\(115\) 0.936276 + 0.859306i 0.0873082 + 0.0801307i
\(116\) 1.79409 2.62377i 0.166577 0.243611i
\(117\) −0.595223 0.138413i −0.0550284 0.0127963i
\(118\) 6.01501 + 4.37016i 0.553727 + 0.402306i
\(119\) −18.1418 2.08157i −1.66305 0.190818i
\(120\) −4.76210 −0.434719
\(121\) 10.2501 + 3.99184i 0.931830 + 0.362894i
\(122\) −18.9804 −1.71840
\(123\) −15.3233 1.75819i −1.38166 0.158530i
\(124\) 1.28512 + 0.933696i 0.115407 + 0.0838484i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 1.02129 1.49359i 0.0909835 0.133059i
\(127\) −11.0761 10.1655i −0.982842 0.902044i 0.0123566 0.999924i \(-0.496067\pi\)
−0.995198 + 0.0978798i \(0.968794\pi\)
\(128\) 5.13409 + 5.28285i 0.453794 + 0.466943i
\(129\) 8.37913 + 2.98967i 0.737742 + 0.263226i
\(130\) 0.468605 + 1.44222i 0.0410994 + 0.126491i
\(131\) −13.0808 + 15.0960i −1.14287 + 1.31894i −0.202309 + 0.979322i \(0.564844\pi\)
−0.940562 + 0.339622i \(0.889701\pi\)
\(132\) −0.944316 1.61794i −0.0821922 0.140824i
\(133\) −8.90267 10.2742i −0.771959 0.890889i
\(134\) 6.70934 11.1262i 0.579599 0.961157i
\(135\) −3.38398 4.38842i −0.291246 0.377695i
\(136\) 19.0011 6.77958i 1.62933 0.581344i
\(137\) 3.41962 + 1.68131i 0.292158 + 0.143644i 0.581415 0.813607i \(-0.302499\pi\)
−0.289257 + 0.957251i \(0.593408\pi\)
\(138\) −1.98650 + 1.62436i −0.169102 + 0.138274i
\(139\) 3.19838 + 15.7846i 0.271283 + 1.33884i 0.851492 + 0.524368i \(0.175698\pi\)
−0.580209 + 0.814468i \(0.697029\pi\)
\(140\) 0.978678 + 0.0559628i 0.0827134 + 0.00472972i
\(141\) 1.68373 1.54532i 0.141796 0.130139i
\(142\) 2.24187 + 15.5926i 0.188134 + 1.30850i
\(143\) −2.61285 + 2.92952i −0.218498 + 0.244979i
\(144\) −0.231812 + 1.61229i −0.0193177 + 0.134357i
\(145\) −5.00572 7.32063i −0.415702 0.607945i
\(146\) −5.47713 14.0679i −0.453290 1.16427i
\(147\) 0.462610 0.599924i 0.0381554 0.0494809i
\(148\) −0.764517 + 2.35294i −0.0628429 + 0.193411i
\(149\) −4.06220 6.73641i −0.332789 0.551868i 0.644281 0.764789i \(-0.277157\pi\)
−0.977069 + 0.212921i \(0.931702\pi\)
\(150\) −0.732582 + 1.88162i −0.0598151 + 0.153634i
\(151\) −7.70213 + 1.79105i −0.626791 + 0.145754i −0.527848 0.849339i \(-0.677001\pi\)
−0.0989432 + 0.995093i \(0.531546\pi\)
\(152\) 13.8347 + 5.84659i 1.12214 + 0.474221i
\(153\) 2.90001 + 1.86372i 0.234452 + 0.150673i
\(154\) −5.27603 10.3560i −0.425155 0.834509i
\(155\) 3.72852 2.39617i 0.299482 0.192465i
\(156\) 0.658732 0.113998i 0.0527408 0.00912715i
\(157\) 1.57314 + 18.3157i 0.125550 + 1.46176i 0.739898 + 0.672720i \(0.234874\pi\)
−0.614347 + 0.789036i \(0.710581\pi\)
\(158\) 0.765616 8.91390i 0.0609091 0.709152i
\(159\) −7.39920 1.28048i −0.586794 0.101549i
\(160\) −1.84355 + 0.779092i −0.145746 + 0.0615927i
\(161\) 2.81202 2.04305i 0.221618 0.161015i
\(162\) 8.01524 4.52641i 0.629737 0.355629i
\(163\) −0.206042 7.21243i −0.0161385 0.564921i −0.966923 0.255068i \(-0.917902\pi\)
0.950785 0.309853i \(-0.100280\pi\)
\(164\) −3.36562 + 0.988235i −0.262811 + 0.0771682i
\(165\) −5.16258 + 0.817427i −0.401906 + 0.0636366i
\(166\) 3.45646 + 1.01491i 0.268273 + 0.0787721i
\(167\) −1.32251 + 5.03136i −0.102339 + 0.389338i −0.998522 0.0543462i \(-0.982693\pi\)
0.896183 + 0.443685i \(0.146329\pi\)
\(168\) −2.58660 + 12.7654i −0.199560 + 0.984868i
\(169\) 5.41296 + 10.2587i 0.416381 + 0.789130i
\(170\) 0.244275 8.55074i 0.0187350 0.655812i
\(171\) 0.652425 + 2.48208i 0.0498922 + 0.189810i
\(172\) 2.01995 0.115505i 0.154020 0.00880718i
\(173\) −2.30255 + 2.36927i −0.175060 + 0.180132i −0.798983 0.601353i \(-0.794628\pi\)
0.623924 + 0.781485i \(0.285538\pi\)
\(174\) 16.0698 7.90101i 1.21825 0.598974i
\(175\) 1.13620 2.48792i 0.0858884 0.188069i
\(176\) 8.37581 + 6.27066i 0.631351 + 0.472669i
\(177\) −3.79906 8.31878i −0.285555 0.625277i
\(178\) 2.19057 + 1.79122i 0.164190 + 0.134257i
\(179\) −6.02852 + 11.4253i −0.450592 + 0.853968i 0.549240 + 0.835665i \(0.314917\pi\)
−0.999832 + 0.0183031i \(0.994174\pi\)
\(180\) −0.161136 0.0909977i −0.0120104 0.00678257i
\(181\) −7.26128 + 0.833154i −0.539727 + 0.0619279i −0.379569 0.925164i \(-0.623928\pi\)
−0.160158 + 0.987091i \(0.551200\pi\)
\(182\) 4.12055 0.472789i 0.305436 0.0350455i
\(183\) 20.3288 + 11.4802i 1.50275 + 0.848640i
\(184\) −1.79204 + 3.39629i −0.132111 + 0.250378i
\(185\) 5.34377 + 4.36958i 0.392882 + 0.321258i
\(186\) 3.71768 + 8.14058i 0.272593 + 0.596896i
\(187\) 19.4353 10.6113i 1.42125 0.775976i
\(188\) 0.215909 0.472775i 0.0157468 0.0344806i
\(189\) −13.6017 + 6.68750i −0.989378 + 0.486444i
\(190\) 4.43840 4.56701i 0.321995 0.331326i
\(191\) −16.4902 + 0.942941i −1.19319 + 0.0682288i −0.642368 0.766397i \(-0.722048\pi\)
−0.550818 + 0.834625i \(0.685684\pi\)
\(192\) −3.55518 13.5253i −0.256573 0.976106i
\(193\) 0.0789321 2.76298i 0.00568166 0.198884i −0.991793 0.127856i \(-0.959190\pi\)
0.997474 0.0710276i \(-0.0226278\pi\)
\(194\) 4.10231 + 7.77474i 0.294528 + 0.558194i
\(195\) 0.370423 1.82811i 0.0265265 0.130914i
\(196\) 0.0437987 0.166628i 0.00312848 0.0119020i
\(197\) −22.0086 6.46230i −1.56805 0.460420i −0.621614 0.783323i \(-0.713523\pi\)
−0.946432 + 0.322903i \(0.895341\pi\)
\(198\) 0.0312286 + 2.19386i 0.00221932 + 0.155911i
\(199\) −16.3060 + 4.78788i −1.15590 + 0.339404i −0.802839 0.596195i \(-0.796678\pi\)
−0.353064 + 0.935599i \(0.614860\pi\)
\(200\) 0.0862879 + 3.02047i 0.00610147 + 0.213579i
\(201\) −13.9156 + 7.85850i −0.981531 + 0.554296i
\(202\) 9.63902 7.00316i 0.678199 0.492741i
\(203\) −22.3427 + 9.44210i −1.56815 + 0.662705i
\(204\) −3.71591 0.643064i −0.260166 0.0450235i
\(205\) −0.837516 + 9.75102i −0.0584946 + 0.681041i
\(206\) −0.433096 5.04245i −0.0301753 0.351324i
\(207\) −0.646554 + 0.111891i −0.0449386 + 0.00777693i
\(208\) −3.14109 + 2.01866i −0.217796 + 0.139969i
\(209\) 16.0017 + 3.96351i 1.10686 + 0.274162i
\(210\) 4.64599 + 2.98580i 0.320604 + 0.206039i
\(211\) −20.4528 8.64341i −1.40803 0.595037i −0.452988 0.891517i \(-0.649642\pi\)
−0.955039 + 0.296479i \(0.904187\pi\)
\(212\) −1.66336 + 0.386798i −0.114240 + 0.0265654i
\(213\) 7.02994 18.0563i 0.481684 1.23719i
\(214\) −11.6356 19.2954i −0.795390 1.31901i
\(215\) 1.74444 5.36882i 0.118970 0.366151i
\(216\) 10.2254 13.2605i 0.695748 0.902262i
\(217\) −4.39802 11.2962i −0.298557 0.766837i
\(218\) 3.84619 + 5.62487i 0.260497 + 0.380964i
\(219\) −2.64266 + 18.3801i −0.178574 + 1.24201i
\(220\) −1.00911 + 0.628270i −0.0680339 + 0.0423580i
\(221\) 1.12458 + 7.82163i 0.0756474 + 0.526140i
\(222\) −10.2689 + 9.42467i −0.689201 + 0.632543i
\(223\) 14.3895 + 0.822821i 0.963592 + 0.0551002i 0.531797 0.846872i \(-0.321517\pi\)
0.431795 + 0.901972i \(0.357880\pi\)
\(224\) 1.08710 + 5.36503i 0.0726346 + 0.358466i
\(225\) −0.399709 + 0.326841i −0.0266473 + 0.0217894i
\(226\) 12.9496 + 6.36691i 0.861397 + 0.423520i
\(227\) −1.42244 + 0.507526i −0.0944107 + 0.0336857i −0.382832 0.923818i \(-0.625051\pi\)
0.288422 + 0.957503i \(0.406870\pi\)
\(228\) −1.71441 2.22329i −0.113540 0.147241i
\(229\) −3.26688 + 5.41751i −0.215881 + 0.357999i −0.945373 0.325991i \(-0.894302\pi\)
0.729492 + 0.683990i \(0.239757\pi\)
\(230\) 1.06628 + 1.23055i 0.0703083 + 0.0811401i
\(231\) −0.612915 + 14.2829i −0.0403268 + 0.939744i
\(232\) 17.5488 20.2524i 1.15213 1.32963i
\(233\) 2.67781 + 8.24145i 0.175429 + 0.539915i 0.999653 0.0263490i \(-0.00838811\pi\)
−0.824224 + 0.566264i \(0.808388\pi\)
\(234\) −0.737441 0.263119i −0.0482080 0.0172006i
\(235\) −1.01066 1.03994i −0.0659282 0.0678385i
\(236\) −1.53228 1.40632i −0.0997431 0.0915434i
\(237\) −6.21153 + 9.08408i −0.403482 + 0.590074i
\(238\) −22.7885 5.29925i −1.47716 0.343499i
\(239\) −12.1707 8.84254i −0.787258 0.571977i 0.119890 0.992787i \(-0.461746\pi\)
−0.907149 + 0.420810i \(0.861746\pi\)
\(240\) −4.93934 0.566737i −0.318833 0.0365827i
\(241\) 13.5621 0.873610 0.436805 0.899556i \(-0.356110\pi\)
0.436805 + 0.899556i \(0.356110\pi\)
\(242\) 12.4643 + 6.57823i 0.801238 + 0.422865i
\(243\) 5.30242 0.340150
\(244\) 5.27485 + 0.605232i 0.337687 + 0.0387460i
\(245\) −0.388897 0.282550i −0.0248457 0.0180515i
\(246\) −19.2482 4.47598i −1.22722 0.285378i
\(247\) −3.32057 + 4.85617i −0.211283 + 0.308991i
\(248\) 9.86679 + 9.05566i 0.626542 + 0.575035i
\(249\) −3.08815 3.17763i −0.195703 0.201374i
\(250\) 1.20673 + 0.430562i 0.0763206 + 0.0272311i
\(251\) 4.95696 + 15.2560i 0.312881 + 0.962948i 0.976618 + 0.214982i \(0.0689693\pi\)
−0.663737 + 0.747966i \(0.731031\pi\)
\(252\) −0.331453 + 0.382517i −0.0208795 + 0.0240963i
\(253\) −1.35976 + 3.98952i −0.0854875 + 0.250819i
\(254\) −12.6140 14.5573i −0.791471 0.913407i
\(255\) −5.43350 + 9.01045i −0.340259 + 0.564256i
\(256\) −5.07390 6.57995i −0.317119 0.411247i
\(257\) 20.9048 7.45880i 1.30400 0.465267i 0.409492 0.912314i \(-0.365706\pi\)
0.894511 + 0.447046i \(0.147524\pi\)
\(258\) 10.2291 + 5.02932i 0.636837 + 0.313112i
\(259\) 14.6157 11.9512i 0.908174 0.742610i
\(260\) −0.0842418 0.415750i −0.00522445 0.0257837i
\(261\) 4.57153 + 0.261409i 0.282970 + 0.0161808i
\(262\) −18.8552 + 17.3052i −1.16488 + 1.06912i
\(263\) −1.14774 7.98274i −0.0707729 0.492237i −0.994121 0.108273i \(-0.965468\pi\)
0.923348 0.383964i \(-0.125441\pi\)
\(264\) −6.35462 14.4593i −0.391100 0.889911i
\(265\) −0.678102 + 4.71630i −0.0416555 + 0.289720i
\(266\) −9.83160 14.3783i −0.602814 0.881587i
\(267\) −1.26278 3.24342i −0.0772807 0.198494i
\(268\) −2.21938 + 2.87814i −0.135570 + 0.175811i
\(269\) 3.52218 10.8402i 0.214751 0.660937i −0.784420 0.620230i \(-0.787039\pi\)
0.999171 0.0407065i \(-0.0129609\pi\)
\(270\) −3.66651 6.08023i −0.223137 0.370031i
\(271\) −1.74202 + 4.47434i −0.105820 + 0.271797i −0.974811 0.223030i \(-0.928405\pi\)
0.868991 + 0.494827i \(0.164769\pi\)
\(272\) 20.5151 4.77059i 1.24391 0.289260i
\(273\) −4.69925 1.98592i −0.284411 0.120193i
\(274\) 4.10726 + 2.63957i 0.248128 + 0.159462i
\(275\) 0.612015 + 3.25967i 0.0369059 + 0.196565i
\(276\) 0.603866 0.388081i 0.0363485 0.0233597i
\(277\) −11.5756 + 2.00323i −0.695510 + 0.120363i −0.507304 0.861767i \(-0.669358\pi\)
−0.188206 + 0.982130i \(0.560267\pi\)
\(278\) 1.76584 + 20.5593i 0.105908 + 1.23307i
\(279\) −0.195830 + 2.28001i −0.0117241 + 0.136501i
\(280\) 8.14357 + 1.40930i 0.486672 + 0.0842218i
\(281\) 24.6153 10.4025i 1.46842 0.620562i 0.499144 0.866519i \(-0.333648\pi\)
0.969281 + 0.245957i \(0.0791023\pi\)
\(282\) 2.36891 1.72111i 0.141067 0.102491i
\(283\) −21.4906 + 12.1363i −1.27748 + 0.721427i −0.972937 0.231072i \(-0.925777\pi\)
−0.304544 + 0.952498i \(0.598504\pi\)
\(284\) −0.125836 4.40482i −0.00746697 0.261378i
\(285\) −7.51604 + 2.20691i −0.445212 + 0.130726i
\(286\) −3.75374 + 3.34736i −0.221964 + 0.197933i
\(287\) 25.6838 + 7.54144i 1.51607 + 0.445157i
\(288\) 0.262705 0.999434i 0.0154800 0.0588922i
\(289\) 5.47624 27.0263i 0.322132 1.58978i
\(290\) −5.30257 10.0495i −0.311378 0.590126i
\(291\) 0.308769 10.8083i 0.0181004 0.633595i
\(292\) 1.07356 + 4.08426i 0.0628256 + 0.239013i
\(293\) 21.0211 1.20203i 1.22807 0.0702234i 0.569019 0.822324i \(-0.307323\pi\)
0.659048 + 0.752101i \(0.270959\pi\)
\(294\) 0.676474 0.696075i 0.0394527 0.0405959i
\(295\) −5.20753 + 2.56037i −0.303194 + 0.149070i
\(296\) −8.66485 + 18.9734i −0.503634 + 1.10280i
\(297\) 8.80909 16.1309i 0.511155 0.936007i
\(298\) −4.18690 9.16803i −0.242541 0.531090i
\(299\) −1.16440 0.952123i −0.0673388 0.0550627i
\(300\) 0.263592 0.499562i 0.0152185 0.0288422i
\(301\) −13.4442 7.59230i −0.774912 0.437613i
\(302\) −10.0656 + 1.15492i −0.579210 + 0.0664581i
\(303\) −14.5596 + 1.67056i −0.836428 + 0.0959712i
\(304\) 13.6538 + 7.71066i 0.783099 + 0.442236i
\(305\) 6.91321 13.1020i 0.395849 0.750218i
\(306\) 3.41921 + 2.79587i 0.195463 + 0.159829i
\(307\) −10.2828 22.5161i −0.586868 1.28506i −0.937316 0.348480i \(-0.886698\pi\)
0.350448 0.936582i \(-0.386029\pi\)
\(308\) 1.13604 + 3.04627i 0.0647319 + 0.173577i
\(309\) −2.58604 + 5.66263i −0.147114 + 0.322136i
\(310\) 5.09598 2.50552i 0.289432 0.142304i
\(311\) −19.1081 + 19.6618i −1.08352 + 1.11492i −0.0906312 + 0.995885i \(0.528888\pi\)
−0.992890 + 0.119033i \(0.962021\pi\)
\(312\) 5.62706 0.321767i 0.318570 0.0182165i
\(313\) −5.54252 21.0859i −0.313282 1.19185i −0.918381 0.395697i \(-0.870503\pi\)
0.605099 0.796150i \(-0.293133\pi\)
\(314\) −0.672591 + 23.5438i −0.0379565 + 1.32865i
\(315\) 0.659026 + 1.24899i 0.0371319 + 0.0703728i
\(316\) −0.497012 + 2.45285i −0.0279591 + 0.137984i
\(317\) −1.06805 + 4.06330i −0.0599879 + 0.228218i −0.990386 0.138334i \(-0.955825\pi\)
0.930398 + 0.366551i \(0.119462\pi\)
\(318\) −9.23138 2.71058i −0.517670 0.152002i
\(319\) 15.5482 24.9678i 0.870532 1.39793i
\(320\) −8.51432 + 2.50003i −0.475965 + 0.139756i
\(321\) 0.791436 + 27.7039i 0.0441737 + 1.54628i
\(322\) 3.87779 2.18989i 0.216101 0.122038i
\(323\) 26.8476 19.5059i 1.49384 1.08534i
\(324\) −2.37185 + 1.00235i −0.131770 + 0.0556863i
\(325\) −1.16623 0.201824i −0.0646908 0.0111952i
\(326\) 0.791112 9.21075i 0.0438157 0.510136i
\(327\) −0.717252 8.35082i −0.0396641 0.461801i
\(328\) −29.1400 + 5.04288i −1.60899 + 0.278446i
\(329\) −3.33664 + 2.14433i −0.183955 + 0.118221i
\(330\) −6.69081 + 0.286498i −0.368317 + 0.0157712i
\(331\) −13.9251 8.94910i −0.765391 0.491887i 0.0987650 0.995111i \(-0.468511\pi\)
−0.864156 + 0.503224i \(0.832147\pi\)
\(332\) −0.928222 0.392270i −0.0509428 0.0215286i
\(333\) −3.47149 + 0.807259i −0.190236 + 0.0442375i
\(334\) −2.41826 + 6.21124i −0.132321 + 0.339864i
\(335\) 5.23658 + 8.68389i 0.286105 + 0.474451i
\(336\) −4.20207 + 12.9326i −0.229241 + 0.705533i
\(337\) −13.4095 + 17.3897i −0.730462 + 0.947279i −0.999876 0.0157449i \(-0.994988\pi\)
0.269414 + 0.963024i \(0.413170\pi\)
\(338\) 5.39183 + 13.8488i 0.293277 + 0.753276i
\(339\) −10.0186 14.6517i −0.544136 0.795774i
\(340\) −0.340546 + 2.36855i −0.0184687 + 0.128453i
\(341\) 12.2510 + 8.12355i 0.663428 + 0.439915i
\(342\) 0.467958 + 3.25472i 0.0253043 + 0.175995i
\(343\) 13.1367 12.0568i 0.709316 0.651004i
\(344\) 17.0300 + 0.973812i 0.918198 + 0.0525044i
\(345\) −0.397736 1.96290i −0.0214134 0.105679i
\(346\) −3.27694 + 2.67954i −0.176169 + 0.144053i
\(347\) −25.2149 12.3973i −1.35361 0.665524i −0.387071 0.922050i \(-0.626513\pi\)
−0.966537 + 0.256526i \(0.917422\pi\)
\(348\) −4.71792 + 1.68335i −0.252907 + 0.0902370i
\(349\) 1.88546 + 2.44511i 0.100927 + 0.130884i 0.839657 0.543117i \(-0.182756\pi\)
−0.738730 + 0.674001i \(0.764574\pi\)
\(350\) 1.80962 3.00092i 0.0967284 0.160406i
\(351\) 4.29514 + 4.95685i 0.229258 + 0.264577i
\(352\) −4.82565 4.55802i −0.257208 0.242943i
\(353\) 12.6555 14.6053i 0.673586 0.777359i −0.311347 0.950296i \(-0.600780\pi\)
0.984933 + 0.172937i \(0.0553257\pi\)
\(354\) −3.62083 11.1438i −0.192445 0.592285i
\(355\) −11.5800 4.13172i −0.614601 0.219289i
\(356\) −0.551664 0.567649i −0.0292381 0.0300853i
\(357\) 21.2022 + 19.4592i 1.12214 + 1.02989i
\(358\) −9.34235 + 13.6627i −0.493758 + 0.722099i
\(359\) −26.7121 6.21163i −1.40981 0.327837i −0.548599 0.836085i \(-0.684839\pi\)
−0.861211 + 0.508248i \(0.830293\pi\)
\(360\) −1.26221 0.917052i −0.0665245 0.0483329i
\(361\) 5.66868 + 0.650420i 0.298351 + 0.0342326i
\(362\) −9.36453 −0.492189
\(363\) −9.37100 14.5845i −0.491850 0.765490i
\(364\) −1.16022 −0.0608121
\(365\) 11.7059 + 1.34312i 0.612713 + 0.0703023i
\(366\) 24.1997 + 17.5821i 1.26494 + 0.919032i
\(367\) 1.88790 + 0.439012i 0.0985475 + 0.0229162i 0.275481 0.961307i \(-0.411163\pi\)
−0.176933 + 0.984223i \(0.556618\pi\)
\(368\) −2.26293 + 3.30943i −0.117963 + 0.172516i
\(369\) −3.72293 3.41687i −0.193808 0.177875i
\(370\) 6.16387 + 6.34248i 0.320445 + 0.329730i
\(371\) 12.2743 + 4.37945i 0.637248 + 0.227370i
\(372\) −0.773600 2.38090i −0.0401093 0.123444i
\(373\) 7.97154 9.19964i 0.412750 0.476339i −0.510864 0.859661i \(-0.670675\pi\)
0.923615 + 0.383322i \(0.125220\pi\)
\(374\) 26.2889 10.6685i 1.35937 0.551657i
\(375\) −1.03204 1.19104i −0.0532943 0.0615049i
\(376\) 2.26280 3.75244i 0.116695 0.193517i
\(377\) 6.40957 + 8.31208i 0.330110 + 0.428094i
\(378\) −18.2902 + 6.52594i −0.940748 + 0.335658i
\(379\) 2.88936 + 1.42060i 0.148416 + 0.0729714i 0.513918 0.857839i \(-0.328194\pi\)
−0.365502 + 0.930811i \(0.619103\pi\)
\(380\) −1.37911 + 1.12769i −0.0707467 + 0.0578493i
\(381\) 4.70518 + 23.2210i 0.241054 + 1.18965i
\(382\) −21.1279 1.20814i −1.08100 0.0618138i
\(383\) 19.5381 17.9319i 0.998350 0.916277i 0.00186062 0.999998i \(-0.499408\pi\)
0.996489 + 0.0837211i \(0.0266805\pi\)
\(384\) −1.65222 11.4914i −0.0843144 0.586419i
\(385\) 9.07033 + 0.129954i 0.462267 + 0.00662305i
\(386\) 0.504009 3.50546i 0.0256534 0.178423i
\(387\) 1.64519 + 2.40602i 0.0836298 + 0.122305i
\(388\) −0.892159 2.29149i −0.0452925 0.116333i
\(389\) −6.04117 + 7.83433i −0.306299 + 0.397216i −0.919742 0.392523i \(-0.871602\pi\)
0.613443 + 0.789739i \(0.289784\pi\)
\(390\) 0.738506 2.27289i 0.0373957 0.115092i
\(391\) 4.38148 + 7.26588i 0.221581 + 0.367451i
\(392\) 0.526993 1.35357i 0.0266172 0.0683657i
\(393\) 30.6616 7.13006i 1.54668 0.359664i
\(394\) −27.0708 11.4402i −1.36381 0.576349i
\(395\) 5.87433 + 3.77520i 0.295569 + 0.189951i
\(396\) 0.0612774 0.610692i 0.00307930 0.0306884i
\(397\) 9.66386 6.21058i 0.485015 0.311700i −0.275183 0.961392i \(-0.588738\pi\)
0.760198 + 0.649692i \(0.225102\pi\)
\(398\) −21.4551 + 3.71296i −1.07545 + 0.186114i
\(399\) 1.83344 + 21.3463i 0.0917866 + 1.06865i
\(400\) −0.269966 + 3.14316i −0.0134983 + 0.157158i
\(401\) −7.70801 1.33392i −0.384920 0.0666130i −0.0252220 0.999682i \(-0.508029\pi\)
−0.359698 + 0.933069i \(0.617120\pi\)
\(402\) −18.8608 + 7.97066i −0.940694 + 0.397540i
\(403\) −4.24384 + 3.08333i −0.211401 + 0.153592i
\(404\) −2.90210 + 1.63889i −0.144385 + 0.0815378i
\(405\) 0.205159 + 7.18150i 0.0101944 + 0.356852i
\(406\) −29.8189 + 8.75563i −1.47989 + 0.434534i
\(407\) −6.13671 + 22.0563i −0.304185 + 1.09329i
\(408\) −30.5063 8.95745i −1.51029 0.443460i
\(409\) −5.85926 + 22.2909i −0.289722 + 1.10222i 0.649905 + 0.760015i \(0.274809\pi\)
−0.939627 + 0.342201i \(0.888828\pi\)
\(410\) −2.49022 + 12.2897i −0.122983 + 0.606945i
\(411\) −2.80251 5.31134i −0.138238 0.261989i
\(412\) −0.0404279 + 1.41516i −0.00199174 + 0.0697199i
\(413\) 4.03482 + 15.3501i 0.198541 + 0.755327i
\(414\) −0.839337 + 0.0479950i −0.0412512 + 0.00235883i
\(415\) −1.95952 + 2.01630i −0.0961892 + 0.0989764i
\(416\) 2.12576 1.04517i 0.104224 0.0512436i
\(417\) 10.5439 23.0879i 0.516337 1.13062i
\(418\) 19.7896 + 7.38220i 0.967943 + 0.361075i
\(419\) 6.45967 + 14.1447i 0.315576 + 0.691014i 0.999248 0.0387748i \(-0.0123455\pi\)
−0.683672 + 0.729789i \(0.739618\pi\)
\(420\) −1.19596 0.977931i −0.0583568 0.0477181i
\(421\) 4.25344 8.06116i 0.207300 0.392877i −0.758692 0.651450i \(-0.774161\pi\)
0.965992 + 0.258573i \(0.0832521\pi\)
\(422\) −24.7719 13.9893i −1.20587 0.680989i
\(423\) 0.743866 0.0853507i 0.0361680 0.00414989i
\(424\) −14.3040 + 1.64123i −0.694662 + 0.0797050i
\(425\) 5.81353 + 3.28305i 0.281998 + 0.159251i
\(426\) 11.5855 21.9570i 0.561320 1.06382i
\(427\) −31.3664 25.6481i −1.51792 1.24120i
\(428\) 2.61836 + 5.73342i 0.126563 + 0.277135i
\(429\) 6.04505 1.31473i 0.291858 0.0634756i
\(430\) 3.00461 6.57917i 0.144895 0.317276i
\(431\) −19.1658 + 9.42319i −0.923184 + 0.453899i −0.839970 0.542633i \(-0.817428\pi\)
−0.0832141 + 0.996532i \(0.526519\pi\)
\(432\) 12.1841 12.5371i 0.586206 0.603192i
\(433\) −25.3628 + 1.45030i −1.21886 + 0.0696968i −0.654648 0.755934i \(-0.727183\pi\)
−0.564210 + 0.825631i \(0.690819\pi\)
\(434\) −3.94839 15.0212i −0.189529 0.721042i
\(435\) −0.399109 + 13.9706i −0.0191358 + 0.669841i
\(436\) −0.889534 1.68585i −0.0426009 0.0807378i
\(437\) −1.25443 + 6.19087i −0.0600076 + 0.296149i
\(438\) −6.04826 + 23.0100i −0.288997 + 1.09946i
\(439\) 31.4009 + 9.22013i 1.49868 + 0.440053i 0.925300 0.379235i \(-0.123813\pi\)
0.573382 + 0.819288i \(0.305631\pi\)
\(440\) −9.05602 + 4.29256i −0.431729 + 0.204640i
\(441\) 0.238146 0.0699259i 0.0113403 0.00332980i
\(442\) 0.289115 + 10.1204i 0.0137518 + 0.481376i
\(443\) −15.1591 + 8.56074i −0.720231 + 0.406733i −0.807825 0.589423i \(-0.799355\pi\)
0.0875933 + 0.996156i \(0.472082\pi\)
\(444\) 3.15435 2.29177i 0.149699 0.108763i
\(445\) −2.03433 + 0.859714i −0.0964364 + 0.0407544i
\(446\) 18.1961 + 3.14897i 0.861613 + 0.149108i
\(447\) −1.06089 + 12.3518i −0.0501786 + 0.584218i
\(448\) 2.07695 + 24.1815i 0.0981267 + 1.14247i
\(449\) −11.3483 + 1.96390i −0.535559 + 0.0926821i −0.431884 0.901929i \(-0.642151\pi\)
−0.103675 + 0.994611i \(0.533060\pi\)
\(450\) −0.556523 + 0.357656i −0.0262348 + 0.0168601i
\(451\) −30.7250 + 10.4689i −1.44678 + 0.492962i
\(452\) −3.39582 2.18236i −0.159726 0.102649i
\(453\) 11.4792 + 4.85115i 0.539340 + 0.227927i
\(454\) −1.88474 + 0.438278i −0.0884554 + 0.0205694i
\(455\) −1.17446 + 3.01659i −0.0550597 + 0.141420i
\(456\) −12.2231 20.2698i −0.572401 0.949221i
\(457\) −0.829026 + 2.55148i −0.0387802 + 0.119353i −0.968572 0.248731i \(-0.919986\pi\)
0.929792 + 0.368085i \(0.119986\pi\)
\(458\) −4.94963 + 6.41879i −0.231281 + 0.299930i
\(459\) −13.4234 34.4776i −0.626549 1.60928i
\(460\) −0.257091 0.375983i −0.0119869 0.0175303i
\(461\) −3.37909 + 23.5021i −0.157380 + 1.09460i 0.746057 + 0.665882i \(0.231945\pi\)
−0.903437 + 0.428720i \(0.858965\pi\)
\(462\) −2.86620 + 18.0911i −0.133348 + 0.841673i
\(463\) 2.97710 + 20.7062i 0.138358 + 0.962298i 0.934189 + 0.356779i \(0.116125\pi\)
−0.795831 + 0.605519i \(0.792966\pi\)
\(464\) 20.6121 18.9177i 0.956895 0.878230i
\(465\) −6.97345 0.398756i −0.323386 0.0184919i
\(466\) 2.20490 + 10.8816i 0.102140 + 0.504080i
\(467\) −5.04940 + 4.12887i −0.233658 + 0.191061i −0.742592 0.669745i \(-0.766404\pi\)
0.508933 + 0.860806i \(0.330040\pi\)
\(468\) 0.196552 + 0.0966383i 0.00908564 + 0.00446711i
\(469\) 26.1224 9.32047i 1.20622 0.430379i
\(470\) −1.13458 1.47135i −0.0523342 0.0678682i
\(471\) 14.9607 24.8095i 0.689353 1.14316i
\(472\) −11.4828 13.2518i −0.528538 0.609965i
\(473\) 18.6293 1.86754i 0.856578 0.0858696i
\(474\) −9.23337 + 10.6559i −0.424103 + 0.489440i
\(475\) 1.53597 + 4.72723i 0.0704751 + 0.216900i
\(476\) 6.16419 + 2.19938i 0.282535 + 0.100808i
\(477\) −1.71460 1.76428i −0.0785061 0.0807809i
\(478\) −14.2006 13.0332i −0.649519 0.596124i
\(479\) −18.0578 + 26.4087i −0.825081 + 1.20664i 0.150849 + 0.988557i \(0.451799\pi\)
−0.975930 + 0.218086i \(0.930019\pi\)
\(480\) 3.07220 + 0.714410i 0.140226 + 0.0326082i
\(481\) −6.60962 4.80217i −0.301373 0.218960i
\(482\) 17.2631 + 1.98076i 0.786312 + 0.0902209i
\(483\) −5.47782 −0.249249
\(484\) −3.25420 2.22561i −0.147918 0.101164i
\(485\) −6.86101 −0.311542
\(486\) 6.74942 + 0.774424i 0.306160 + 0.0351286i
\(487\) −0.608137 0.441837i −0.0275573 0.0200216i 0.573921 0.818910i \(-0.305422\pi\)
−0.601479 + 0.798889i \(0.705422\pi\)
\(488\) 43.6002 + 10.1388i 1.97369 + 0.458961i
\(489\) −6.41839 + 9.38660i −0.290250 + 0.424477i
\(490\) −0.453758 0.416456i −0.0204987 0.0188135i
\(491\) 0.779503 + 0.802089i 0.0351785 + 0.0361978i 0.734493 0.678617i \(-0.237420\pi\)
−0.699314 + 0.714814i \(0.746511\pi\)
\(492\) 5.20655 + 1.85769i 0.234729 + 0.0837512i
\(493\) −18.2969 56.3120i −0.824050 2.53617i
\(494\) −4.93598 + 5.69643i −0.222080 + 0.256294i
\(495\) −1.52578 0.777511i −0.0685785 0.0349465i
\(496\) 9.15631 + 10.5669i 0.411130 + 0.474470i
\(497\) −17.3653 + 28.7972i −0.778942 + 1.29173i
\(498\) −3.46679 4.49581i −0.155351 0.201462i
\(499\) 26.8009 9.56254i 1.19977 0.428078i 0.340818 0.940129i \(-0.389296\pi\)
0.858955 + 0.512051i \(0.171114\pi\)
\(500\) −0.321635 0.158137i −0.0143839 0.00707210i
\(501\) 6.34689 5.18982i 0.283558 0.231864i
\(502\) 4.08154 + 20.1432i 0.182168 + 0.899035i
\(503\) −10.7297 0.613545i −0.478412 0.0273566i −0.183780 0.982967i \(-0.558833\pi\)
−0.294632 + 0.955611i \(0.595197\pi\)
\(504\) −3.14385 + 2.88540i −0.140038 + 0.128526i
\(505\) 1.32341 + 9.20449i 0.0588908 + 0.409594i
\(506\) −2.31351 + 4.87964i −0.102848 + 0.216927i
\(507\) 2.60150 18.0939i 0.115537 0.803577i
\(508\) 3.04136 + 4.44785i 0.134939 + 0.197341i
\(509\) −2.30268 5.91438i −0.102064 0.262150i 0.871567 0.490276i \(-0.163104\pi\)
−0.973632 + 0.228126i \(0.926740\pi\)
\(510\) −8.23226 + 10.6758i −0.364531 + 0.472732i
\(511\) 9.95858 30.6494i 0.440542 1.35585i
\(512\) −13.1058 21.7335i −0.579199 0.960493i
\(513\) 9.99339 25.6678i 0.441219 1.13326i
\(514\) 27.6989 6.44111i 1.22175 0.284105i
\(515\) 3.63851 + 1.53765i 0.160332 + 0.0677567i
\(516\) −2.68240 1.72388i −0.118086 0.0758894i
\(517\) 1.80898 4.45642i 0.0795589 0.195993i
\(518\) 20.3497 13.0780i 0.894115 0.574613i
\(519\) 5.13044 0.887858i 0.225201 0.0389726i
\(520\) −0.306049 3.56326i −0.0134211 0.156259i
\(521\) 3.24682 37.8021i 0.142246 1.65614i −0.482932 0.875658i \(-0.660428\pi\)
0.625178 0.780482i \(-0.285026\pi\)
\(522\) 5.78089 + 1.00042i 0.253023 + 0.0437873i
\(523\) 10.2389 4.32701i 0.447717 0.189207i −0.153741 0.988111i \(-0.549132\pi\)
0.601458 + 0.798904i \(0.294587\pi\)
\(524\) 5.79187 4.20804i 0.253019 0.183829i
\(525\) −3.75327 + 2.11957i −0.163806 + 0.0925056i
\(526\) −0.295070 10.3288i −0.0128657 0.450358i
\(527\) 28.3922 8.33671i 1.23679 0.363153i
\(528\) −4.87033 15.7538i −0.211954 0.685595i
\(529\) 20.5187 + 6.02485i 0.892119 + 0.261950i
\(530\) −1.55197 + 5.90432i −0.0674135 + 0.256467i
\(531\) 0.595016 2.93652i 0.0258215 0.127434i
\(532\) 2.27382 + 4.30937i 0.0985826 + 0.186835i
\(533\) 0.330777 11.5787i 0.0143276 0.501530i
\(534\) −1.13368 4.31296i −0.0490591 0.186640i
\(535\) 17.5575 1.00397i 0.759075 0.0434055i
\(536\) −21.3554 + 21.9742i −0.922415 + 0.949142i
\(537\) 18.2699 8.98270i 0.788404 0.387632i
\(538\) 6.06659 13.2840i 0.261549 0.572713i
\(539\) 0.338968 1.55786i 0.0146004 0.0671018i
\(540\) 0.825080 + 1.80667i 0.0355058 + 0.0777468i
\(541\) −12.1962 9.97279i −0.524356 0.428764i 0.333427 0.942776i \(-0.391795\pi\)
−0.857783 + 0.514012i \(0.828159\pi\)
\(542\) −2.87089 + 5.44094i −0.123315 + 0.233709i
\(543\) 10.0298 + 5.66409i 0.430420 + 0.243069i
\(544\) −13.2754 + 1.52321i −0.569176 + 0.0653069i
\(545\) −5.28369 + 0.606247i −0.226329 + 0.0259688i
\(546\) −5.69160 3.21420i −0.243578 0.137555i
\(547\) −7.44496 + 14.1098i −0.318323 + 0.603290i −0.990565 0.137042i \(-0.956241\pi\)
0.672242 + 0.740332i \(0.265332\pi\)
\(548\) −1.05728 0.864534i −0.0451648 0.0369310i
\(549\) 3.17745 + 6.95764i 0.135610 + 0.296945i
\(550\) 0.302953 + 4.23860i 0.0129180 + 0.180735i
\(551\) 18.3117 40.0970i 0.780104 1.70819i
\(552\) 5.43092 2.67020i 0.231155 0.113651i
\(553\) 13.3106 13.6962i 0.566022 0.582423i
\(554\) −15.0271 + 0.859280i −0.638440 + 0.0365073i
\(555\) −2.76555 10.5212i −0.117391 0.446602i
\(556\) 0.164834 5.76995i 0.00699053 0.244700i
\(557\) 4.06531 + 7.70462i 0.172253 + 0.326455i 0.955366 0.295423i \(-0.0954607\pi\)
−0.783114 + 0.621878i \(0.786370\pi\)
\(558\) −0.582270 + 2.87361i −0.0246494 + 0.121650i
\(559\) −1.69852 + 6.46185i −0.0718399 + 0.273307i
\(560\) 8.27894 + 2.43092i 0.349849 + 0.102725i
\(561\) −34.6093 4.47426i −1.46121 0.188903i
\(562\) 32.8520 9.64621i 1.38578 0.406901i
\(563\) 0.0427371 + 1.49599i 0.00180115 + 0.0630485i 0.999996 + 0.00298243i \(0.000949337\pi\)
−0.998194 + 0.0600661i \(0.980869\pi\)
\(564\) −0.713226 + 0.402777i −0.0300322 + 0.0169600i
\(565\) −9.11166 + 6.62001i −0.383330 + 0.278506i
\(566\) −29.1277 + 12.3095i −1.22433 + 0.517406i
\(567\) 19.3622 + 3.35077i 0.813138 + 0.140719i
\(568\) 3.17926 37.0155i 0.133399 1.55314i
\(569\) 3.40846 + 39.6839i 0.142890 + 1.66364i 0.619856 + 0.784715i \(0.287191\pi\)
−0.476966 + 0.878922i \(0.658264\pi\)
\(570\) −9.88945 + 1.71144i −0.414224 + 0.0716842i
\(571\) 33.2751 21.3846i 1.39252 0.894917i 0.392823 0.919614i \(-0.371498\pi\)
0.999695 + 0.0246968i \(0.00786202\pi\)
\(572\) 1.14994 0.810569i 0.0480815 0.0338916i
\(573\) 21.8982 + 14.0731i 0.914809 + 0.587912i
\(574\) 31.5913 + 13.3506i 1.31860 + 0.557243i
\(575\) −1.23781 + 0.287840i −0.0516201 + 0.0120037i
\(576\) 1.66230 4.26957i 0.0692623 0.177899i
\(577\) 8.13895 + 13.4969i 0.338829 + 0.561885i 0.978368 0.206874i \(-0.0663291\pi\)
−0.639539 + 0.768759i \(0.720875\pi\)
\(578\) 10.9179 33.6018i 0.454125 1.39765i
\(579\) −2.66007 + 3.44964i −0.110549 + 0.143362i
\(580\) 1.15319 + 2.96194i 0.0478835 + 0.122988i
\(581\) 4.34058 + 6.34790i 0.180078 + 0.263355i
\(582\) 1.97160 13.7128i 0.0817253 0.568412i
\(583\) −15.2252 + 4.23456i −0.630562 + 0.175378i
\(584\) 5.06694 + 35.2413i 0.209671 + 1.45830i
\(585\) 0.450226 0.413214i 0.0186146 0.0170843i
\(586\) 26.9332 + 1.54010i 1.11260 + 0.0636209i
\(587\) 0.213509 + 1.05371i 0.00881247 + 0.0434912i 0.984248 0.176796i \(-0.0565733\pi\)
−0.975435 + 0.220287i \(0.929301\pi\)
\(588\) −0.210195 + 0.171876i −0.00866829 + 0.00708803i
\(589\) 19.7695 + 9.71999i 0.814586 + 0.400505i
\(590\) −7.00258 + 2.49852i −0.288292 + 0.102862i
\(591\) 22.0744 + 28.6266i 0.908018 + 1.17754i
\(592\) −11.2454 + 18.6483i −0.462181 + 0.766442i
\(593\) 9.61407 + 11.0952i 0.394803 + 0.455627i 0.917997 0.396587i \(-0.129805\pi\)
−0.523195 + 0.852213i \(0.675260\pi\)
\(594\) 13.5690 19.2463i 0.556742 0.789686i
\(595\) 11.9583 13.8006i 0.490241 0.565769i
\(596\) 0.871239 + 2.68140i 0.0356874 + 0.109834i
\(597\) 25.2251 + 9.00029i 1.03239 + 0.368357i
\(598\) −1.34310 1.38201i −0.0549233 0.0565147i
\(599\) 5.34479 + 4.90540i 0.218382 + 0.200429i 0.777898 0.628390i \(-0.216286\pi\)
−0.559516 + 0.828819i \(0.689013\pi\)
\(600\) 2.68794 3.93098i 0.109735 0.160482i
\(601\) 25.1679 + 5.85255i 1.02662 + 0.238730i 0.705801 0.708410i \(-0.250587\pi\)
0.320820 + 0.947140i \(0.396042\pi\)
\(602\) −16.0042 11.6277i −0.652283 0.473911i
\(603\) −5.20172 0.596842i −0.211830 0.0243053i
\(604\) 2.83416 0.115320
\(605\) −9.08077 + 6.20803i −0.369186 + 0.252392i
\(606\) −18.7768 −0.762757
\(607\) −20.6269 2.36671i −0.837219 0.0960619i −0.315231 0.949015i \(-0.602082\pi\)
−0.521988 + 0.852953i \(0.674809\pi\)
\(608\) −8.04814 5.84732i −0.326395 0.237140i
\(609\) 37.2331 + 8.65818i 1.50876 + 0.350847i
\(610\) 10.7134 15.6678i 0.433771 0.634370i
\(611\) 1.26450 + 1.16054i 0.0511561 + 0.0469506i
\(612\) −0.861080 0.886030i −0.0348071 0.0358157i
\(613\) −23.6738 8.44681i −0.956178 0.341163i −0.188553 0.982063i \(-0.560380\pi\)
−0.767625 + 0.640900i \(0.778562\pi\)
\(614\) −9.80037 30.1624i −0.395511 1.21726i
\(615\) 10.1005 11.6566i 0.407291 0.470039i
\(616\) 6.58779 + 26.6072i 0.265430 + 1.07204i
\(617\) 9.24517 + 10.6695i 0.372197 + 0.429538i 0.910689 0.413093i \(-0.135551\pi\)
−0.538492 + 0.842630i \(0.681006\pi\)
\(618\) −4.11879 + 6.83024i −0.165682 + 0.274752i
\(619\) −16.8320 21.8281i −0.676534 0.877344i 0.321033 0.947068i \(-0.395970\pi\)
−0.997566 + 0.0697238i \(0.977788\pi\)
\(620\) −1.49612 + 0.533814i −0.0600856 + 0.0214385i
\(621\) 6.31991 + 3.10729i 0.253609 + 0.124691i
\(622\) −27.1942 + 22.2366i −1.09039 + 0.891607i
\(623\) 1.19959 + 5.92021i 0.0480605 + 0.237188i
\(624\) 5.87479 + 0.335933i 0.235180 + 0.0134481i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −3.97542 27.6497i −0.158890 1.10510i
\(627\) −16.7304 19.8763i −0.668149 0.793783i
\(628\) 0.937666 6.52161i 0.0374169 0.260241i
\(629\) 26.0133 + 38.0433i 1.03722 + 1.51688i
\(630\) 0.656454 + 1.68609i 0.0261537 + 0.0671753i
\(631\) 9.89592 12.8333i 0.393950 0.510884i −0.552597 0.833449i \(-0.686363\pi\)
0.946547 + 0.322565i \(0.104545\pi\)
\(632\) −6.52026 + 20.0673i −0.259362 + 0.798234i
\(633\) 18.0703 + 29.9663i 0.718231 + 1.19105i
\(634\) −1.95297 + 5.01616i −0.0775623 + 0.199217i
\(635\) 14.6432 3.40512i 0.581096 0.135128i
\(636\) 2.47906 + 1.04766i 0.0983013 + 0.0415425i
\(637\) 0.478625 + 0.307594i 0.0189638 + 0.0121873i
\(638\) 23.4378 29.5106i 0.927911 1.16833i
\(639\) 5.34046 3.43211i 0.211265 0.135772i
\(640\) −7.25875 + 1.25618i −0.286927 + 0.0496547i
\(641\) −2.33106 27.1400i −0.0920713 1.07197i −0.885916 0.463846i \(-0.846469\pi\)
0.793845 0.608121i \(-0.208076\pi\)
\(642\) −3.03877 + 35.3797i −0.119931 + 1.39633i
\(643\) −1.32828 0.229868i −0.0523822 0.00906509i 0.144271 0.989538i \(-0.453916\pi\)
−0.196653 + 0.980473i \(0.563007\pi\)
\(644\) −1.14751 + 0.484941i −0.0452181 + 0.0191093i
\(645\) −7.19743 + 5.22924i −0.283399 + 0.205901i
\(646\) 37.0231 20.9079i 1.45665 0.822610i
\(647\) 0.818424 + 28.6486i 0.0321756 + 1.12629i 0.841952 + 0.539553i \(0.181407\pi\)
−0.809776 + 0.586739i \(0.800411\pi\)
\(648\) −20.8298 + 6.11619i −0.818273 + 0.240267i
\(649\) −14.7231 12.3952i −0.577934 0.486555i
\(650\) −1.45501 0.427230i −0.0570702 0.0167573i
\(651\) −4.85663 + 18.4765i −0.190346 + 0.724152i
\(652\) −0.513564 + 2.53454i −0.0201127 + 0.0992601i
\(653\) −11.2621 21.3441i −0.440721 0.835260i −0.999980 0.00626668i \(-0.998005\pi\)
0.559259 0.828993i \(-0.311086\pi\)
\(654\) 0.306659 10.7345i 0.0119913 0.419751i
\(655\) −5.07798 19.3186i −0.198413 0.754841i
\(656\) −30.8247 + 1.76262i −1.20350 + 0.0688188i
\(657\) −4.23996 + 4.36281i −0.165416 + 0.170210i
\(658\) −4.56037 + 2.24218i −0.177782 + 0.0874094i
\(659\) 17.3806 38.0582i 0.677052 1.48254i −0.188685 0.982038i \(-0.560423\pi\)
0.865737 0.500499i \(-0.166850\pi\)
\(660\) 1.86858 + 0.133731i 0.0727344 + 0.00520546i
\(661\) 4.93201 + 10.7996i 0.191833 + 0.420055i 0.980969 0.194162i \(-0.0621989\pi\)
−0.789137 + 0.614218i \(0.789472\pi\)
\(662\) −16.4181 13.4250i −0.638109 0.521779i
\(663\) 5.81159 11.0142i 0.225703 0.427756i
\(664\) −7.39775 4.17770i −0.287088 0.162126i
\(665\) 13.5061 1.54968i 0.523746 0.0600942i
\(666\) −4.53674 + 0.520542i −0.175795 + 0.0201706i
\(667\) 9.81356 + 5.54197i 0.379983 + 0.214586i
\(668\) 0.870117 1.64906i 0.0336658 0.0638039i
\(669\) −17.5842 14.3785i −0.679844 0.555906i
\(670\) 5.39732 + 11.8185i 0.208517 + 0.456588i
\(671\) 49.0071 + 3.50735i 1.89190 + 0.135400i
\(672\) 3.58376 7.84733i 0.138246 0.302718i
\(673\) 15.4802 7.61110i 0.596718 0.293386i −0.117763 0.993042i \(-0.537572\pi\)
0.714480 + 0.699655i \(0.246663\pi\)
\(674\) −19.6087 + 20.1768i −0.755298 + 0.777183i
\(675\) 5.53258 0.316364i 0.212949 0.0121769i
\(676\) −1.05685 4.02066i −0.0406479 0.154641i
\(677\) −1.15223 + 40.3333i −0.0442838 + 1.55013i 0.609092 + 0.793100i \(0.291534\pi\)
−0.653376 + 0.757034i \(0.726648\pi\)
\(678\) −10.6127 20.1134i −0.407579 0.772449i
\(679\) −3.72664 + 18.3917i −0.143015 + 0.705809i
\(680\) −5.12869 + 19.5116i −0.196676 + 0.748235i
\(681\) 2.28373 + 0.670563i 0.0875126 + 0.0256960i
\(682\) 14.4078 + 12.1297i 0.551701 + 0.464470i
\(683\) 23.3670 6.86117i 0.894113 0.262535i 0.197774 0.980248i \(-0.436629\pi\)
0.696340 + 0.717712i \(0.254811\pi\)
\(684\) −0.0262663 0.919442i −0.00100432 0.0351557i
\(685\) −3.31806 + 1.87379i −0.126776 + 0.0715939i
\(686\) 18.4826 13.4284i 0.705668 0.512698i
\(687\) 9.18363 3.88103i 0.350377 0.148071i
\(688\) 17.5480 + 3.03680i 0.669010 + 0.115777i
\(689\) 0.482596 5.61876i 0.0183854 0.214058i
\(690\) −0.219592 2.55666i −0.00835971 0.0973303i
\(691\) −32.5854 + 5.63913i −1.23961 + 0.214523i −0.752366 0.658745i \(-0.771088\pi\)
−0.487241 + 0.873267i \(0.661997\pi\)
\(692\) 0.996138 0.640179i 0.0378675 0.0243360i
\(693\) −2.91295 + 3.66770i −0.110654 + 0.139324i
\(694\) −30.2853 19.4632i −1.14961 0.738812i
\(695\) −14.8351 6.26936i −0.562727 0.237810i
\(696\) −41.1348 + 9.56549i −1.55921 + 0.362579i
\(697\) −23.7067 + 60.8901i −0.897955 + 2.30638i
\(698\) 2.04288 + 3.38774i 0.0773243 + 0.128228i
\(699\) 4.22014 12.9883i 0.159620 0.491261i
\(700\) −0.598604 + 0.776283i −0.0226251 + 0.0293407i
\(701\) −4.09875 10.5276i −0.154808 0.397620i 0.833005 0.553265i \(-0.186618\pi\)
−0.987813 + 0.155644i \(0.950255\pi\)
\(702\) 4.74331 + 6.93686i 0.179025 + 0.261815i
\(703\) −4.88290 + 33.9613i −0.184162 + 1.28087i
\(704\) −18.9526 22.5163i −0.714301 0.848613i
\(705\) 0.325243 + 2.26212i 0.0122494 + 0.0851963i
\(706\) 18.2423 16.7426i 0.686557 0.630116i
\(707\) 25.3925 + 1.45199i 0.954982 + 0.0546079i
\(708\) 0.650923 + 3.21243i 0.0244632 + 0.120731i
\(709\) 12.7208 10.4017i 0.477739 0.390645i −0.363255 0.931690i \(-0.618335\pi\)
0.840994 + 0.541044i \(0.181971\pi\)
\(710\) −14.1366 6.95051i −0.530538 0.260848i
\(711\) −3.39574 + 1.21160i −0.127350 + 0.0454384i
\(712\) −4.07517 5.28477i −0.152723 0.198055i
\(713\) −2.90859 + 4.82335i −0.108928 + 0.180636i
\(714\) 24.1462 + 27.8662i 0.903648 + 1.04287i
\(715\) −0.943428 3.81038i −0.0352822 0.142500i
\(716\) 3.03200 3.49912i 0.113311 0.130768i
\(717\) 7.32636 + 22.5482i 0.273608 + 0.842079i
\(718\) −33.0945 11.8081i −1.23507 0.440674i
\(719\) −0.322505 0.331850i −0.0120274 0.0123759i 0.711091 0.703100i \(-0.248201\pi\)
−0.723119 + 0.690724i \(0.757292\pi\)
\(720\) −1.20005 1.10140i −0.0447234 0.0410467i
\(721\) 6.09813 8.91823i 0.227106 0.332132i
\(722\) 7.12063 + 1.65583i 0.265003 + 0.0616237i
\(723\) −17.2914 12.5630i −0.643075 0.467222i
\(724\) 2.60250 + 0.298609i 0.0967211 + 0.0110977i
\(725\) 8.86842 0.329365
\(726\) −9.79821 19.9332i −0.363646 0.739792i
\(727\) 4.39915 0.163155 0.0815777 0.996667i \(-0.474004\pi\)
0.0815777 + 0.996667i \(0.474004\pi\)
\(728\) −9.71795 1.11503i −0.360171 0.0413258i
\(729\) −24.1975 17.5805i −0.896203 0.651130i
\(730\) 14.7042 + 3.41931i 0.544226 + 0.126554i
\(731\) 21.2736 31.1117i 0.786833 1.15071i
\(732\) −6.16470 5.65791i −0.227854 0.209122i
\(733\) 24.3567 + 25.0625i 0.899635 + 0.925703i 0.997583 0.0694888i \(-0.0221368\pi\)
−0.0979475 + 0.995192i \(0.531228\pi\)
\(734\) 2.33898 + 0.834546i 0.0863333 + 0.0308036i
\(735\) 0.234103 + 0.720494i 0.00863501 + 0.0265758i
\(736\) 1.66562 1.92223i 0.0613955 0.0708542i
\(737\) −19.3794 + 27.4879i −0.713851 + 1.01253i
\(738\) −4.23986 4.89306i −0.156071 0.180116i
\(739\) 21.3324 35.3758i 0.784725 1.30132i −0.164392 0.986395i \(-0.552566\pi\)
0.949117 0.314925i \(-0.101979\pi\)
\(740\) −1.51076 1.95919i −0.0555367 0.0720212i
\(741\) 8.73209 3.11560i 0.320781 0.114455i
\(742\) 14.9842 + 7.36725i 0.550088 + 0.270460i
\(743\) 29.4157 24.0531i 1.07916 0.882421i 0.0856641 0.996324i \(-0.472699\pi\)
0.993492 + 0.113903i \(0.0363352\pi\)
\(744\) −4.19147 20.6857i −0.153667 0.758376i
\(745\) 7.85360 + 0.449085i 0.287734 + 0.0164532i
\(746\) 11.4905 10.5459i 0.420699 0.386114i
\(747\) −0.206600 1.43694i −0.00755910 0.0525747i
\(748\) −7.64615 + 2.12662i −0.279571 + 0.0777568i
\(749\) 6.84529 47.6100i 0.250121 1.73963i
\(750\) −1.13973 1.66680i −0.0416169 0.0608628i
\(751\) 7.90217 + 20.2966i 0.288354 + 0.740632i 0.999301 + 0.0373860i \(0.0119031\pi\)
−0.710947 + 0.703246i \(0.751733\pi\)
\(752\) 2.79360 3.62280i 0.101872 0.132110i
\(753\) 7.81201 24.0429i 0.284686 0.876172i
\(754\) 6.94472 + 11.5165i 0.252912 + 0.419407i
\(755\) 2.86895 7.36884i 0.104412 0.268180i
\(756\) 5.29114 1.23040i 0.192437 0.0447493i
\(757\) −41.1674 17.3975i −1.49625 0.632322i −0.521029 0.853539i \(-0.674452\pi\)
−0.975225 + 0.221217i \(0.928997\pi\)
\(758\) 3.47037 + 2.23027i 0.126049 + 0.0810071i
\(759\) 5.42929 3.82699i 0.197071 0.138911i
\(760\) −12.6351 + 8.12008i −0.458323 + 0.294546i
\(761\) −50.8249 + 8.79559i −1.84240 + 0.318840i −0.981724 0.190311i \(-0.939050\pi\)
−0.860677 + 0.509151i \(0.829959\pi\)
\(762\) 2.59775 + 30.2451i 0.0941066 + 1.09566i
\(763\) −1.24479 + 14.4928i −0.0450644 + 0.524675i
\(764\) 5.83315 + 1.00947i 0.211036 + 0.0365212i
\(765\) −3.17534 + 1.34191i −0.114805 + 0.0485168i
\(766\) 27.4889 19.9719i 0.993215 0.721613i
\(767\) 5.98039 3.37728i 0.215939 0.121947i
\(768\) 0.373936 + 13.0895i 0.0134932 + 0.472325i
\(769\) 0.213877 0.0627999i 0.00771260 0.00226462i −0.277874 0.960618i \(-0.589630\pi\)
0.285587 + 0.958353i \(0.407812\pi\)
\(770\) 11.5266 + 1.49015i 0.415390 + 0.0537012i
\(771\) −33.5626 9.85486i −1.20873 0.354914i
\(772\) −0.251849 + 0.958132i −0.00906423 + 0.0344839i
\(773\) 0.453358 2.23741i