Properties

Label 483.2.bf.a.388.11
Level $483$
Weight $2$
Character 483.388
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 388.11
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.03420 + 0.813301i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.0634142 + 0.261397i) q^{4} +(-0.255961 - 0.0493325i) q^{5} +(-0.370671 + 1.26239i) q^{6} +(-2.61931 - 0.373143i) q^{7} +(-1.24012 - 2.71548i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(-1.03420 + 0.813301i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.0634142 + 0.261397i) q^{4} +(-0.255961 - 0.0493325i) q^{5} +(-0.370671 + 1.26239i) q^{6} +(-2.61931 - 0.373143i) q^{7} +(-1.24012 - 2.71548i) q^{8} +(0.327068 - 0.945001i) q^{9} +(0.304836 - 0.157154i) q^{10} +(1.25293 - 1.59323i) q^{11} +(0.0999694 + 0.249711i) q^{12} +(1.10216 - 1.71500i) q^{13} +(3.01235 - 1.74438i) q^{14} +(-0.237115 + 0.108287i) q^{15} +(3.01288 + 1.55325i) q^{16} +(5.65102 - 5.38824i) q^{17} +(0.430318 + 1.24332i) q^{18} +(0.566098 + 0.539774i) q^{19} +(0.0291269 - 0.0637790i) q^{20} +(-2.35007 + 1.21539i) q^{21} +2.66672i q^{22} +(4.54762 + 1.52286i) q^{23} +(-2.58531 - 1.49263i) q^{24} +(-4.57876 - 1.83306i) q^{25} +(0.254958 + 2.67004i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(0.263640 - 0.661016i) q^{28} +(2.59510 + 0.761990i) q^{29} +(0.157154 - 0.304836i) q^{30} +(0.0699355 - 0.732398i) q^{31} +(1.48345 - 0.285912i) q^{32} +(0.0964423 - 2.02457i) q^{33} +(-1.46201 + 10.1685i) q^{34} +(0.652032 + 0.224727i) q^{35} +(0.226279 + 0.145421i) q^{36} +(-9.20070 - 3.18439i) q^{37} +(-1.02446 - 0.0978236i) q^{38} +(-0.0970018 - 2.03632i) q^{39} +(0.183461 + 0.756237i) q^{40} +(-5.57319 - 4.82920i) q^{41} +(1.44195 - 3.16827i) q^{42} +(10.1601 + 4.63996i) q^{43} +(0.337011 + 0.428544i) q^{44} +(-0.130336 + 0.225748i) q^{45} +(-5.94168 + 2.12365i) q^{46} +(8.06516 - 4.65642i) q^{47} +(3.35519 - 0.482404i) q^{48} +(6.72153 + 1.95475i) q^{49} +(6.22616 - 1.82817i) q^{50} +(1.47770 - 7.66705i) q^{51} +(0.378403 + 0.396858i) q^{52} +(-3.40335 + 0.162122i) q^{53} +(1.07172 + 0.763171i) q^{54} +(-0.399298 + 0.345994i) q^{55} +(2.23499 + 7.57543i) q^{56} +(0.774230 + 0.111317i) q^{57} +(-3.30357 + 1.32255i) q^{58} +(-6.10908 - 11.8500i) q^{59} +(-0.0132694 - 0.0688481i) q^{60} +(-5.30028 + 7.44320i) q^{61} +(0.523333 + 0.814322i) q^{62} +(-1.20931 + 2.35320i) q^{63} +(-5.74120 + 6.62570i) q^{64} +(-0.366717 + 0.384601i) q^{65} +(1.54685 + 2.17224i) q^{66} +(4.50035 - 11.2413i) q^{67} +(1.05011 + 1.81885i) q^{68} +(4.58773 - 1.39739i) q^{69} +(-0.857100 + 0.297887i) q^{70} +(-0.470637 - 3.27335i) q^{71} +(-2.97174 + 0.283767i) q^{72} +(7.87904 + 1.91143i) q^{73} +(12.1052 - 4.18965i) q^{74} +(-4.79302 + 1.16277i) q^{75} +(-0.176994 + 0.113747i) q^{76} +(-3.87630 + 3.70563i) q^{77} +(1.75646 + 2.02706i) q^{78} +(-9.01330 - 0.429357i) q^{79} +(-0.694554 - 0.546203i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(9.69137 + 0.461657i) q^{82} +(10.8506 + 12.5222i) q^{83} +(-0.168672 - 0.691373i) q^{84} +(-1.71226 + 1.10040i) q^{85} +(-14.2812 + 3.46459i) q^{86} +(2.55590 - 0.884607i) q^{87} +(-5.88016 - 1.42651i) q^{88} +(5.44048 - 0.519503i) q^{89} +(-0.0488085 - 0.339470i) q^{90} +(-3.52685 + 4.08085i) q^{91} +(-0.686455 + 1.09216i) q^{92} +(-0.367865 - 0.637160i) q^{93} +(-4.55389 + 11.3751i) q^{94} +(-0.118271 - 0.166088i) q^{95} +(1.04254 - 1.09338i) q^{96} +(-8.55002 + 9.86725i) q^{97} +(-8.54118 + 3.44503i) q^{98} +(-1.09581 - 1.70511i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.03420 + 0.813301i −0.731287 + 0.575091i −0.912853 0.408288i \(-0.866126\pi\)
0.181566 + 0.983379i \(0.441883\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) −0.0634142 + 0.261397i −0.0317071 + 0.130698i
\(5\) −0.255961 0.0493325i −0.114469 0.0220621i 0.131695 0.991290i \(-0.457958\pi\)
−0.246164 + 0.969228i \(0.579170\pi\)
\(6\) −0.370671 + 1.26239i −0.151326 + 0.515368i
\(7\) −2.61931 0.373143i −0.990005 0.141035i
\(8\) −1.24012 2.71548i −0.438449 0.960069i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) 0.304836 0.157154i 0.0963977 0.0496964i
\(11\) 1.25293 1.59323i 0.377772 0.480376i −0.559572 0.828782i \(-0.689034\pi\)
0.937344 + 0.348406i \(0.113277\pi\)
\(12\) 0.0999694 + 0.249711i 0.0288587 + 0.0720855i
\(13\) 1.10216 1.71500i 0.305686 0.475656i −0.654093 0.756414i \(-0.726950\pi\)
0.959779 + 0.280758i \(0.0905859\pi\)
\(14\) 3.01235 1.74438i 0.805086 0.466206i
\(15\) −0.237115 + 0.108287i −0.0612229 + 0.0279596i
\(16\) 3.01288 + 1.55325i 0.753220 + 0.388312i
\(17\) 5.65102 5.38824i 1.37057 1.30684i 0.463361 0.886170i \(-0.346643\pi\)
0.907214 0.420670i \(-0.138205\pi\)
\(18\) 0.430318 + 1.24332i 0.101427 + 0.293054i
\(19\) 0.566098 + 0.539774i 0.129872 + 0.123833i 0.752232 0.658899i \(-0.228977\pi\)
−0.622360 + 0.782731i \(0.713826\pi\)
\(20\) 0.0291269 0.0637790i 0.00651297 0.0142614i
\(21\) −2.35007 + 1.21539i −0.512827 + 0.265221i
\(22\) 2.66672i 0.568546i
\(23\) 4.54762 + 1.52286i 0.948245 + 0.317539i
\(24\) −2.58531 1.49263i −0.527724 0.304681i
\(25\) −4.57876 1.83306i −0.915751 0.366612i
\(26\) 0.254958 + 2.67004i 0.0500014 + 0.523638i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 0.263640 0.661016i 0.0498232 0.124920i
\(29\) 2.59510 + 0.761990i 0.481898 + 0.141498i 0.513654 0.857998i \(-0.328292\pi\)
−0.0317556 + 0.999496i \(0.510110\pi\)
\(30\) 0.157154 0.304836i 0.0286923 0.0556552i
\(31\) 0.0699355 0.732398i 0.0125608 0.131543i −0.987016 0.160620i \(-0.948651\pi\)
0.999577 + 0.0290771i \(0.00925682\pi\)
\(32\) 1.48345 0.285912i 0.262240 0.0505426i
\(33\) 0.0964423 2.02457i 0.0167885 0.352433i
\(34\) −1.46201 + 10.1685i −0.250732 + 1.74388i
\(35\) 0.652032 + 0.224727i 0.110214 + 0.0379858i
\(36\) 0.226279 + 0.145421i 0.0377132 + 0.0242368i
\(37\) −9.20070 3.18439i −1.51259 0.523511i −0.560187 0.828366i \(-0.689271\pi\)
−0.952399 + 0.304855i \(0.901392\pi\)
\(38\) −1.02446 0.0978236i −0.166189 0.0158691i
\(39\) −0.0970018 2.03632i −0.0155327 0.326072i
\(40\) 0.183461 + 0.756237i 0.0290077 + 0.119571i
\(41\) −5.57319 4.82920i −0.870387 0.754194i 0.100195 0.994968i \(-0.468053\pi\)
−0.970581 + 0.240773i \(0.922599\pi\)
\(42\) 1.44195 3.16827i 0.222498 0.488874i
\(43\) 10.1601 + 4.63996i 1.54940 + 0.707588i 0.992415 0.122934i \(-0.0392304\pi\)
0.556986 + 0.830522i \(0.311958\pi\)
\(44\) 0.337011 + 0.428544i 0.0508063 + 0.0646055i
\(45\) −0.130336 + 0.225748i −0.0194293 + 0.0336526i
\(46\) −5.94168 + 2.12365i −0.876053 + 0.313115i
\(47\) 8.06516 4.65642i 1.17642 0.679209i 0.221240 0.975219i \(-0.428990\pi\)
0.955185 + 0.296010i \(0.0956562\pi\)
\(48\) 3.35519 0.482404i 0.484280 0.0696290i
\(49\) 6.72153 + 1.95475i 0.960218 + 0.279250i
\(50\) 6.22616 1.82817i 0.880512 0.258542i
\(51\) 1.47770 7.66705i 0.206920 1.07360i
\(52\) 0.378403 + 0.396858i 0.0524751 + 0.0550343i
\(53\) −3.40335 + 0.162122i −0.467487 + 0.0222691i −0.280004 0.959999i \(-0.590336\pi\)
−0.187483 + 0.982268i \(0.560033\pi\)
\(54\) 1.07172 + 0.763171i 0.145843 + 0.103854i
\(55\) −0.399298 + 0.345994i −0.0538414 + 0.0466538i
\(56\) 2.23499 + 7.57543i 0.298663 + 1.01231i
\(57\) 0.774230 + 0.111317i 0.102549 + 0.0147444i
\(58\) −3.30357 + 1.32255i −0.433780 + 0.173659i
\(59\) −6.10908 11.8500i −0.795334 1.54273i −0.839280 0.543699i \(-0.817023\pi\)
0.0439457 0.999034i \(-0.486007\pi\)
\(60\) −0.0132694 0.0688481i −0.00171307 0.00888826i
\(61\) −5.30028 + 7.44320i −0.678631 + 0.953004i 0.321351 + 0.946960i \(0.395863\pi\)
−0.999982 + 0.00604360i \(0.998076\pi\)
\(62\) 0.523333 + 0.814322i 0.0664634 + 0.103419i
\(63\) −1.20931 + 2.35320i −0.152359 + 0.296476i
\(64\) −5.74120 + 6.62570i −0.717650 + 0.828212i
\(65\) −0.366717 + 0.384601i −0.0454856 + 0.0477039i
\(66\) 1.54685 + 2.17224i 0.190404 + 0.267385i
\(67\) 4.50035 11.2413i 0.549806 1.37335i −0.349874 0.936797i \(-0.613775\pi\)
0.899679 0.436551i \(-0.143800\pi\)
\(68\) 1.05011 + 1.81885i 0.127345 + 0.220568i
\(69\) 4.58773 1.39739i 0.552298 0.168226i
\(70\) −0.857100 + 0.297887i −0.102443 + 0.0356043i
\(71\) −0.470637 3.27335i −0.0558543 0.388475i −0.998503 0.0546899i \(-0.982583\pi\)
0.942649 0.333785i \(-0.108326\pi\)
\(72\) −2.97174 + 0.283767i −0.350223 + 0.0334422i
\(73\) 7.87904 + 1.91143i 0.922172 + 0.223716i 0.668619 0.743605i \(-0.266886\pi\)
0.253553 + 0.967322i \(0.418401\pi\)
\(74\) 12.1052 4.18965i 1.40720 0.487037i
\(75\) −4.79302 + 1.16277i −0.553451 + 0.134266i
\(76\) −0.176994 + 0.113747i −0.0203026 + 0.0130477i
\(77\) −3.87630 + 3.70563i −0.441746 + 0.422296i
\(78\) 1.75646 + 2.02706i 0.198880 + 0.229519i
\(79\) −9.01330 0.429357i −1.01408 0.0483064i −0.466042 0.884763i \(-0.654320\pi\)
−0.548034 + 0.836456i \(0.684624\pi\)
\(80\) −0.694554 0.546203i −0.0776535 0.0610674i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 9.69137 + 0.461657i 1.07023 + 0.0509815i
\(83\) 10.8506 + 12.5222i 1.19101 + 1.37450i 0.909905 + 0.414817i \(0.136155\pi\)
0.281102 + 0.959678i \(0.409300\pi\)
\(84\) −0.168672 0.691373i −0.0184037 0.0754350i
\(85\) −1.71226 + 1.10040i −0.185720 + 0.119355i
\(86\) −14.2812 + 3.46459i −1.53998 + 0.373596i
\(87\) 2.55590 0.884607i 0.274022 0.0948398i
\(88\) −5.88016 1.42651i −0.626828 0.152067i
\(89\) 5.44048 0.519503i 0.576689 0.0550672i 0.197364 0.980330i \(-0.436762\pi\)
0.379326 + 0.925263i \(0.376156\pi\)
\(90\) −0.0488085 0.339470i −0.00514487 0.0357833i
\(91\) −3.52685 + 4.08085i −0.369714 + 0.427789i
\(92\) −0.686455 + 1.09216i −0.0715679 + 0.113866i
\(93\) −0.367865 0.637160i −0.0381458 0.0660705i
\(94\) −4.55389 + 11.3751i −0.469698 + 1.17325i
\(95\) −0.118271 0.166088i −0.0121343 0.0170403i
\(96\) 1.04254 1.09338i 0.106404 0.111593i
\(97\) −8.55002 + 9.86725i −0.868123 + 1.00187i 0.131821 + 0.991274i \(0.457918\pi\)
−0.999944 + 0.0105935i \(0.996628\pi\)
\(98\) −8.54118 + 3.44503i −0.862790 + 0.348000i
\(99\) −1.09581 1.70511i −0.110133 0.171370i
\(100\) 0.769514 1.08063i 0.0769514 0.108063i
\(101\) −0.712592 3.69728i −0.0709055 0.367893i 0.929093 0.369847i \(-0.120590\pi\)
−0.999998 + 0.00195446i \(0.999378\pi\)
\(102\) 4.70738 + 9.13105i 0.466100 + 0.904108i
\(103\) 4.34796 1.74066i 0.428417 0.171512i −0.147425 0.989073i \(-0.547099\pi\)
0.575842 + 0.817561i \(0.304674\pi\)
\(104\) −6.02388 0.866103i −0.590690 0.0849284i
\(105\) 0.661484 0.195159i 0.0645542 0.0190455i
\(106\) 3.38788 2.93562i 0.329060 0.285132i
\(107\) −14.1694 10.0900i −1.36981 0.975437i −0.998906 0.0467660i \(-0.985108\pi\)
−0.370904 0.928671i \(-0.620952\pi\)
\(108\) 0.268674 0.0127985i 0.0258532 0.00123154i
\(109\) −10.2171 10.7154i −0.978623 1.02635i −0.999647 0.0265708i \(-0.991541\pi\)
0.0210244 0.999779i \(-0.493307\pi\)
\(110\) 0.131556 0.682576i 0.0125433 0.0650810i
\(111\) −9.34180 + 2.74300i −0.886684 + 0.260354i
\(112\) −7.31207 5.19266i −0.690926 0.490661i
\(113\) −7.27588 + 1.04611i −0.684457 + 0.0984101i −0.475767 0.879572i \(-0.657829\pi\)
−0.208691 + 0.977982i \(0.566920\pi\)
\(114\) −0.891240 + 0.514558i −0.0834723 + 0.0481927i
\(115\) −1.08889 0.614139i −0.101539 0.0572688i
\(116\) −0.363748 + 0.630030i −0.0337732 + 0.0584968i
\(117\) −1.26020 1.60247i −0.116505 0.148148i
\(118\) 15.9556 + 7.28667i 1.46883 + 0.670792i
\(119\) −16.8123 + 12.0048i −1.54118 + 1.10048i
\(120\) 0.588103 + 0.509594i 0.0536862 + 0.0465194i
\(121\) 1.62480 + 6.69753i 0.147709 + 0.608866i
\(122\) −0.572033 12.0085i −0.0517894 1.08719i
\(123\) −7.34100 0.700981i −0.661916 0.0632053i
\(124\) 0.187012 + 0.0647253i 0.0167941 + 0.00581251i
\(125\) 2.17801 + 1.39972i 0.194807 + 0.125195i
\(126\) −0.663197 3.41721i −0.0590823 0.304429i
\(127\) −0.138701 + 0.964684i −0.0123077 + 0.0856018i −0.995049 0.0993808i \(-0.968314\pi\)
0.982742 + 0.184983i \(0.0592229\pi\)
\(128\) 0.405072 8.50352i 0.0358037 0.751612i
\(129\) 10.9676 2.11383i 0.965645 0.186113i
\(130\) 0.0664603 0.696004i 0.00582896 0.0610436i
\(131\) −3.20394 + 6.21477i −0.279929 + 0.542987i −0.986321 0.164834i \(-0.947291\pi\)
0.706392 + 0.707821i \(0.250322\pi\)
\(132\) 0.523101 + 0.153596i 0.0455301 + 0.0133689i
\(133\) −1.28137 1.62507i −0.111109 0.140911i
\(134\) 4.48834 + 15.2859i 0.387734 + 1.32050i
\(135\) 0.0247784 + 0.259491i 0.00213259 + 0.0223335i
\(136\) −21.6396 8.66320i −1.85558 0.742863i
\(137\) −12.3436 7.12656i −1.05458 0.608863i −0.130653 0.991428i \(-0.541708\pi\)
−0.923929 + 0.382565i \(0.875041\pi\)
\(138\) −3.60812 + 5.17639i −0.307143 + 0.440643i
\(139\) 1.23748i 0.104962i −0.998622 0.0524810i \(-0.983287\pi\)
0.998622 0.0524810i \(-0.0167129\pi\)
\(140\) −0.100091 + 0.156188i −0.00845923 + 0.0132003i
\(141\) 3.86870 8.47126i 0.325803 0.713409i
\(142\) 3.14895 + 3.00252i 0.264254 + 0.251966i
\(143\) −1.35145 3.90477i −0.113014 0.326533i
\(144\) 2.45324 2.33916i 0.204436 0.194930i
\(145\) −0.626654 0.323062i −0.0520408 0.0268289i
\(146\) −9.70305 + 4.43123i −0.803030 + 0.366731i
\(147\) 6.60906 2.30658i 0.545106 0.190243i
\(148\) 1.41585 2.20310i 0.116382 0.181094i
\(149\) 5.49327 + 13.7215i 0.450026 + 1.12411i 0.963904 + 0.266248i \(0.0857841\pi\)
−0.513878 + 0.857863i \(0.671792\pi\)
\(150\) 4.01124 5.10071i 0.327517 0.416471i
\(151\) 5.72988 2.95396i 0.466291 0.240390i −0.209036 0.977908i \(-0.567033\pi\)
0.675327 + 0.737518i \(0.264002\pi\)
\(152\) 0.763717 2.20662i 0.0619456 0.178980i
\(153\) −3.24362 7.10254i −0.262231 0.574206i
\(154\) 0.995067 6.98495i 0.0801848 0.562863i
\(155\) −0.0540318 + 0.184015i −0.00433994 + 0.0147805i
\(156\) 0.538438 + 0.103775i 0.0431096 + 0.00830869i
\(157\) −3.74959 + 15.4560i −0.299250 + 1.23352i 0.601389 + 0.798956i \(0.294614\pi\)
−0.900639 + 0.434568i \(0.856901\pi\)
\(158\) 9.67072 6.88649i 0.769362 0.547860i
\(159\) −2.67825 + 2.10620i −0.212399 + 0.167032i
\(160\) −0.393811 −0.0311335
\(161\) −11.3434 5.68576i −0.893983 0.448101i
\(162\) 1.31568 0.103370
\(163\) 17.8895 14.0684i 1.40121 1.10192i 0.420317 0.907377i \(-0.361919\pi\)
0.980893 0.194547i \(-0.0623236\pi\)
\(164\) 1.61576 1.15058i 0.126169 0.0898449i
\(165\) −0.124563 + 0.513454i −0.00969719 + 0.0399724i
\(166\) −21.4060 4.12567i −1.66143 0.320214i
\(167\) −2.54755 + 8.67614i −0.197135 + 0.671380i 0.800287 + 0.599617i \(0.204681\pi\)
−0.997422 + 0.0717626i \(0.977138\pi\)
\(168\) 6.21475 + 4.87434i 0.479478 + 0.376063i
\(169\) 3.67393 + 8.04479i 0.282610 + 0.618830i
\(170\) 0.875853 2.53061i 0.0671749 0.194089i
\(171\) 0.695239 0.358421i 0.0531663 0.0274091i
\(172\) −1.85717 + 2.36158i −0.141608 + 0.180069i
\(173\) 6.45864 + 16.1329i 0.491041 + 1.22656i 0.942481 + 0.334260i \(0.108486\pi\)
−0.451440 + 0.892302i \(0.649089\pi\)
\(174\) −1.92386 + 2.99358i −0.145847 + 0.226942i
\(175\) 11.3092 + 6.50987i 0.854893 + 0.492100i
\(176\) 6.24959 2.85409i 0.471081 0.215135i
\(177\) −11.8500 6.10908i −0.890698 0.459186i
\(178\) −5.20401 + 4.96201i −0.390057 + 0.371919i
\(179\) 4.72610 + 13.6552i 0.353245 + 1.02064i 0.971986 + 0.235040i \(0.0755220\pi\)
−0.618740 + 0.785595i \(0.712357\pi\)
\(180\) −0.0507448 0.0483850i −0.00378229 0.00360641i
\(181\) −2.35681 + 5.16070i −0.175181 + 0.383592i −0.976772 0.214280i \(-0.931260\pi\)
0.801592 + 0.597872i \(0.203987\pi\)
\(182\) 0.328494 7.08879i 0.0243496 0.525456i
\(183\) 9.13751i 0.675464i
\(184\) −1.50429 14.2375i −0.110898 1.04961i
\(185\) 2.19793 + 1.26897i 0.161595 + 0.0932968i
\(186\) 0.898648 + 0.359764i 0.0658920 + 0.0263792i
\(187\) −1.50437 15.7544i −0.110010 1.15208i
\(188\) 0.705729 + 2.40349i 0.0514706 + 0.175293i
\(189\) 0.379916 + 2.61833i 0.0276348 + 0.190456i
\(190\) 0.257395 + 0.0755779i 0.0186734 + 0.00548300i
\(191\) 0.181813 0.352668i 0.0131555 0.0255181i −0.882166 0.470938i \(-0.843915\pi\)
0.895322 + 0.445420i \(0.146946\pi\)
\(192\) −0.833362 + 8.72736i −0.0601427 + 0.629843i
\(193\) −0.612952 + 0.118137i −0.0441212 + 0.00850367i −0.211264 0.977429i \(-0.567758\pi\)
0.167143 + 0.985933i \(0.446546\pi\)
\(194\) 0.817356 17.1584i 0.0586827 1.23190i
\(195\) −0.0756279 + 0.526003i −0.00541582 + 0.0376679i
\(196\) −0.937206 + 1.63303i −0.0669433 + 0.116645i
\(197\) 6.64634 + 4.27134i 0.473532 + 0.304321i 0.755553 0.655088i \(-0.227368\pi\)
−0.282021 + 0.959408i \(0.591005\pi\)
\(198\) 2.52005 + 0.872198i 0.179092 + 0.0619844i
\(199\) 12.0069 + 1.14652i 0.851143 + 0.0812743i 0.511503 0.859281i \(-0.329089\pi\)
0.339640 + 0.940556i \(0.389695\pi\)
\(200\) 0.700569 + 14.7068i 0.0495377 + 1.03992i
\(201\) −2.85474 11.7674i −0.201358 0.830007i
\(202\) 3.74396 + 3.24416i 0.263424 + 0.228258i
\(203\) −6.51303 2.96423i −0.457125 0.208048i
\(204\) 1.91043 + 0.872466i 0.133757 + 0.0610848i
\(205\) 1.18828 + 1.51103i 0.0829934 + 0.105535i
\(206\) −3.08096 + 5.33638i −0.214661 + 0.371803i
\(207\) 2.92649 3.79943i 0.203405 0.264079i
\(208\) 5.98451 3.45516i 0.414951 0.239572i
\(209\) 1.56926 0.225626i 0.108548 0.0156069i
\(210\) −0.525382 + 0.739818i −0.0362548 + 0.0510523i
\(211\) 13.7202 4.02863i 0.944541 0.277342i 0.227029 0.973888i \(-0.427099\pi\)
0.717512 + 0.696546i \(0.245281\pi\)
\(212\) 0.173443 0.899907i 0.0119121 0.0618058i
\(213\) −2.28210 2.39340i −0.156367 0.163993i
\(214\) 22.8602 1.08896i 1.56269 0.0744401i
\(215\) −2.37169 1.68887i −0.161748 0.115180i
\(216\) −2.25611 + 1.95493i −0.153509 + 0.133016i
\(217\) −0.456472 + 1.89228i −0.0309873 + 0.128456i
\(218\) 19.2814 + 2.77224i 1.30590 + 0.187760i
\(219\) 7.52682 3.01328i 0.508615 0.203619i
\(220\) −0.0651206 0.126316i −0.00439043 0.00851624i
\(221\) −3.01248 15.6302i −0.202641 1.05140i
\(222\) 7.43037 10.4345i 0.498694 0.700318i
\(223\) 2.06995 + 3.22090i 0.138614 + 0.215688i 0.903619 0.428336i \(-0.140900\pi\)
−0.765005 + 0.644024i \(0.777264\pi\)
\(224\) −3.99230 + 0.195351i −0.266747 + 0.0130524i
\(225\) −3.22981 + 3.72739i −0.215320 + 0.248493i
\(226\) 6.67389 6.99937i 0.443940 0.465591i
\(227\) 6.49020 + 9.11420i 0.430769 + 0.604931i 0.971724 0.236121i \(-0.0758762\pi\)
−0.540954 + 0.841052i \(0.681937\pi\)
\(228\) −0.0781952 + 0.195322i −0.00517860 + 0.0129355i
\(229\) 5.45640 + 9.45076i 0.360569 + 0.624524i 0.988055 0.154104i \(-0.0492492\pi\)
−0.627485 + 0.778628i \(0.715916\pi\)
\(230\) 1.62560 0.250454i 0.107189 0.0165144i
\(231\) −1.00807 + 5.26699i −0.0663260 + 0.346543i
\(232\) −1.14906 7.99191i −0.0754397 0.524695i
\(233\) 16.3256 1.55890i 1.06952 0.102127i 0.454586 0.890703i \(-0.349787\pi\)
0.614938 + 0.788576i \(0.289181\pi\)
\(234\) 2.60658 + 0.632349i 0.170397 + 0.0413380i
\(235\) −2.29408 + 0.793989i −0.149649 + 0.0517941i
\(236\) 3.48494 0.845438i 0.226851 0.0550333i
\(237\) −7.59107 + 4.87849i −0.493093 + 0.316892i
\(238\) 7.62374 26.0888i 0.494174 1.69109i
\(239\) −16.9712 19.5858i −1.09778 1.26690i −0.961074 0.276290i \(-0.910895\pi\)
−0.136703 0.990612i \(-0.543650\pi\)
\(240\) −0.882596 0.0420432i −0.0569713 0.00271388i
\(241\) 1.96594 + 1.54603i 0.126637 + 0.0995888i 0.679469 0.733704i \(-0.262210\pi\)
−0.552831 + 0.833293i \(0.686453\pi\)
\(242\) −7.12748 5.60511i −0.458171 0.360310i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) −1.60952 1.85748i −0.103039 0.118913i
\(245\) −1.62402 0.831930i −0.103755 0.0531500i
\(246\) 8.16215 5.24549i 0.520399 0.334440i
\(247\) 1.54965 0.375940i 0.0986017 0.0239205i
\(248\) −2.07554 + 0.718353i −0.131797 + 0.0456155i
\(249\) 16.1022 + 3.90636i 1.02044 + 0.247556i
\(250\) −3.39088 + 0.323790i −0.214458 + 0.0204783i
\(251\) −1.88212 13.0904i −0.118798 0.826262i −0.958882 0.283805i \(-0.908403\pi\)
0.840084 0.542457i \(-0.182506\pi\)
\(252\) −0.538432 0.465337i −0.0339180 0.0293135i
\(253\) 8.12411 5.33736i 0.510758 0.335557i
\(254\) −0.641135 1.11048i −0.0402284 0.0696776i
\(255\) −0.756468 + 1.88957i −0.0473719 + 0.118329i
\(256\) −3.67379 5.15911i −0.229612 0.322445i
\(257\) 6.51830 6.83620i 0.406600 0.426430i −0.488314 0.872668i \(-0.662388\pi\)
0.894914 + 0.446238i \(0.147236\pi\)
\(258\) −9.62349 + 11.1061i −0.599132 + 0.691435i
\(259\) 22.9112 + 11.7741i 1.42363 + 0.731606i
\(260\) −0.0772785 0.120248i −0.00479261 0.00745745i
\(261\) 1.56886 2.20315i 0.0971097 0.136372i
\(262\) −1.74098 9.03306i −0.107558 0.558064i
\(263\) 9.11080 + 17.6725i 0.561796 + 1.08973i 0.983144 + 0.182833i \(0.0585268\pi\)
−0.421348 + 0.906899i \(0.638443\pi\)
\(264\) −5.61730 + 2.24883i −0.345721 + 0.138406i
\(265\) 0.879124 + 0.126399i 0.0540042 + 0.00776463i
\(266\) 2.64686 + 0.638499i 0.162289 + 0.0391489i
\(267\) 4.13034 3.57896i 0.252773 0.219029i
\(268\) 2.65306 + 1.88924i 0.162062 + 0.115404i
\(269\) −1.36317 + 0.0649359i −0.0831140 + 0.00395921i −0.0890977 0.996023i \(-0.528398\pi\)
0.00598370 + 0.999982i \(0.498095\pi\)
\(270\) −0.236670 0.248213i −0.0144033 0.0151057i
\(271\) −4.57741 + 23.7498i −0.278058 + 1.44270i 0.527183 + 0.849752i \(0.323248\pi\)
−0.805241 + 0.592948i \(0.797964\pi\)
\(272\) 25.3951 7.45668i 1.53981 0.452128i
\(273\) −0.505760 + 5.36993i −0.0306100 + 0.325003i
\(274\) 18.5617 2.66877i 1.12135 0.161226i
\(275\) −8.65733 + 4.99831i −0.522057 + 0.301410i
\(276\) 0.0743469 + 1.28783i 0.00447516 + 0.0775185i
\(277\) 2.58524 4.47777i 0.155332 0.269043i −0.777848 0.628453i \(-0.783689\pi\)
0.933180 + 0.359410i \(0.117022\pi\)
\(278\) 1.00645 + 1.27980i 0.0603627 + 0.0767574i
\(279\) −0.669243 0.305633i −0.0400665 0.0182978i
\(280\) −0.198356 2.04927i −0.0118540 0.122467i
\(281\) 1.75133 + 1.51754i 0.104476 + 0.0905288i 0.705532 0.708678i \(-0.250708\pi\)
−0.601057 + 0.799206i \(0.705253\pi\)
\(282\) 2.88870 + 11.9074i 0.172019 + 0.709073i
\(283\) −0.443148 9.30282i −0.0263424 0.552995i −0.973007 0.230775i \(-0.925874\pi\)
0.946665 0.322220i \(-0.104429\pi\)
\(284\) 0.885489 + 0.0845539i 0.0525441 + 0.00501735i
\(285\) −0.192681 0.0666876i −0.0114134 0.00395023i
\(286\) 4.57343 + 2.93916i 0.270432 + 0.173796i
\(287\) 12.7959 + 14.7288i 0.755319 + 0.869411i
\(288\) 0.215003 1.49538i 0.0126691 0.0881158i
\(289\) 2.09204 43.9174i 0.123061 2.58338i
\(290\) 0.910830 0.175548i 0.0534858 0.0103085i
\(291\) −1.24107 + 12.9971i −0.0727531 + 0.761905i
\(292\) −0.999286 + 1.93834i −0.0584788 + 0.113433i
\(293\) −10.2990 3.02407i −0.601675 0.176668i −0.0333113 0.999445i \(-0.510605\pi\)
−0.568364 + 0.822777i \(0.692423\pi\)
\(294\) −4.95913 + 7.76061i −0.289222 + 0.452608i
\(295\) 0.979099 + 3.33450i 0.0570053 + 0.194142i
\(296\) 2.76280 + 28.9334i 0.160585 + 1.68172i
\(297\) −1.88168 0.753311i −0.109186 0.0437116i
\(298\) −16.8409 9.72307i −0.975565 0.563243i
\(299\) 7.62394 6.12074i 0.440904 0.353971i
\(300\) 1.32662i 0.0765923i
\(301\) −24.8810 15.9447i −1.43412 0.919035i
\(302\) −3.52336 + 7.71509i −0.202747 + 0.443954i
\(303\) −2.72509 2.59837i −0.156552 0.149272i
\(304\) 0.867184 + 2.50556i 0.0497364 + 0.143704i
\(305\) 1.72386 1.64369i 0.0987077 0.0941176i
\(306\) 9.13105 + 4.70738i 0.521987 + 0.269103i
\(307\) 26.9192 12.2936i 1.53636 0.701632i 0.545699 0.837981i \(-0.316264\pi\)
0.990661 + 0.136349i \(0.0435368\pi\)
\(308\) −0.722827 1.24824i −0.0411869 0.0711252i
\(309\) 2.53206 3.93996i 0.144044 0.224137i
\(310\) −0.0937804 0.234252i −0.00532637 0.0133046i
\(311\) 1.64344 2.08981i 0.0931911 0.118502i −0.737221 0.675651i \(-0.763862\pi\)
0.830412 + 0.557149i \(0.188105\pi\)
\(312\) −5.40930 + 2.78869i −0.306241 + 0.157878i
\(313\) −3.54229 + 10.2348i −0.200222 + 0.578504i −0.999755 0.0221178i \(-0.992959\pi\)
0.799533 + 0.600622i \(0.205080\pi\)
\(314\) −8.69258 19.0341i −0.490551 1.07416i
\(315\) 0.425626 0.542670i 0.0239813 0.0305760i
\(316\) 0.683804 2.32882i 0.0384670 0.131006i
\(317\) 4.03850 + 0.778357i 0.226825 + 0.0437169i 0.301397 0.953499i \(-0.402547\pi\)
−0.0745723 + 0.997216i \(0.523759\pi\)
\(318\) 1.05686 4.35645i 0.0592659 0.244297i
\(319\) 4.46550 3.17987i 0.250020 0.178038i
\(320\) 1.79639 1.41269i 0.100421 0.0789720i
\(321\) −17.3948 −0.970886
\(322\) 16.3555 3.34539i 0.911457 0.186431i
\(323\) 6.10747 0.339828
\(324\) 0.211432 0.166272i 0.0117462 0.00923732i
\(325\) −8.19024 + 5.83225i −0.454313 + 0.323515i
\(326\) −7.05935 + 29.0990i −0.390981 + 1.61165i
\(327\) −14.5382 2.80200i −0.803962 0.154951i
\(328\) −6.20219 + 21.1227i −0.342459 + 1.16631i
\(329\) −22.8626 + 9.18714i −1.26046 + 0.506503i
\(330\) −0.288771 0.632320i −0.0158963 0.0348080i
\(331\) 2.69324 7.78160i 0.148034 0.427716i −0.846467 0.532441i \(-0.821275\pi\)
0.994501 + 0.104725i \(0.0333962\pi\)
\(332\) −3.96136 + 2.04222i −0.217408 + 0.112081i
\(333\) −6.01851 + 7.65316i −0.329812 + 0.419390i
\(334\) −4.42165 11.0448i −0.241942 0.604342i
\(335\) −1.70648 + 2.65533i −0.0932349 + 0.145076i
\(336\) −8.96828 + 0.0115965i −0.489260 + 0.000632642i
\(337\) −11.4208 + 5.21572i −0.622132 + 0.284118i −0.701436 0.712732i \(-0.747457\pi\)
0.0793042 + 0.996850i \(0.474730\pi\)
\(338\) −10.3424 5.33188i −0.562552 0.290016i
\(339\) −5.31995 + 5.07256i −0.288940 + 0.275504i
\(340\) −0.179060 0.517360i −0.00971088 0.0280578i
\(341\) −1.07925 1.02906i −0.0584448 0.0557270i
\(342\) −0.427510 + 0.936116i −0.0231171 + 0.0506194i
\(343\) −16.8763 7.62818i −0.911237 0.411883i
\(344\) 33.3437i 1.79777i
\(345\) −1.24322 + 0.131354i −0.0669326 + 0.00707187i
\(346\) −19.8004 11.4318i −1.06448 0.614576i
\(347\) −6.09055 2.43829i −0.326958 0.130894i 0.202376 0.979308i \(-0.435134\pi\)
−0.529334 + 0.848414i \(0.677558\pi\)
\(348\) 0.0691529 + 0.724202i 0.00370698 + 0.0388213i
\(349\) 8.33615 + 28.3903i 0.446224 + 1.51970i 0.808992 + 0.587819i \(0.200013\pi\)
−0.362769 + 0.931879i \(0.618168\pi\)
\(350\) −16.9904 + 2.46528i −0.908175 + 0.131775i
\(351\) −1.95605 0.574347i −0.104406 0.0306564i
\(352\) 1.40313 2.72170i 0.0747873 0.145067i
\(353\) −0.439056 + 4.59800i −0.0233686 + 0.244727i 0.976239 + 0.216699i \(0.0695289\pi\)
−0.999607 + 0.0280283i \(0.991077\pi\)
\(354\) 17.2237 3.31960i 0.915430 0.176435i
\(355\) −0.0410177 + 0.861068i −0.00217700 + 0.0457008i
\(356\) −0.209207 + 1.45507i −0.0110880 + 0.0771184i
\(357\) −6.73146 + 19.5309i −0.356267 + 1.03369i
\(358\) −15.9935 10.2784i −0.845282 0.543230i
\(359\) 14.4173 + 4.98987i 0.760916 + 0.263355i 0.679848 0.733353i \(-0.262046\pi\)
0.0810677 + 0.996709i \(0.474167\pi\)
\(360\) 0.774648 + 0.0739699i 0.0408276 + 0.00389856i
\(361\) −0.874945 18.3673i −0.0460497 0.966703i
\(362\) −1.75980 7.25398i −0.0924929 0.381261i
\(363\) 5.20847 + 4.51317i 0.273374 + 0.236880i
\(364\) −0.843069 1.18069i −0.0441888 0.0618850i
\(365\) −1.92243 0.877945i −0.100625 0.0459537i
\(366\) −7.43155 9.44998i −0.388453 0.493959i
\(367\) −13.8433 + 23.9774i −0.722617 + 1.25161i 0.237330 + 0.971429i \(0.423728\pi\)
−0.959947 + 0.280180i \(0.909606\pi\)
\(368\) 11.3361 + 11.6518i 0.590933 + 0.607391i
\(369\) −6.38641 + 3.68720i −0.332463 + 0.191948i
\(370\) −3.30515 + 0.475208i −0.171826 + 0.0247049i
\(371\) 8.97492 + 0.845292i 0.465955 + 0.0438853i
\(372\) 0.189880 0.0557537i 0.00984480 0.00289069i
\(373\) −1.83990 + 9.54633i −0.0952667 + 0.494290i 0.902684 + 0.430304i \(0.141594\pi\)
−0.997951 + 0.0639865i \(0.979619\pi\)
\(374\) 14.3689 + 15.0697i 0.742999 + 0.779235i
\(375\) 2.58607 0.123190i 0.133544 0.00636149i
\(376\) −22.6462 16.1263i −1.16789 0.831650i
\(377\) 4.16704 3.61076i 0.214614 0.185964i
\(378\) −2.52240 2.39888i −0.129738 0.123385i
\(379\) −23.4976 3.37844i −1.20699 0.173539i −0.490692 0.871333i \(-0.663256\pi\)
−0.716299 + 0.697794i \(0.754165\pi\)
\(380\) 0.0509149 0.0203833i 0.00261188 0.00104564i
\(381\) 0.446589 + 0.866262i 0.0228795 + 0.0443800i
\(382\) 0.0987948 + 0.512596i 0.00505478 + 0.0262267i
\(383\) 19.4531 27.3181i 0.994008 1.39589i 0.0769955 0.997031i \(-0.475467\pi\)
0.917013 0.398858i \(-0.130593\pi\)
\(384\) −4.60256 7.16173i −0.234873 0.365470i
\(385\) 1.17499 0.757269i 0.0598830 0.0385940i
\(386\) 0.537832 0.620691i 0.0273749 0.0315923i
\(387\) 7.70781 8.08372i 0.391810 0.410919i
\(388\) −2.03707 2.86067i −0.103417 0.145229i
\(389\) 7.45890 18.6314i 0.378181 0.944651i −0.610144 0.792291i \(-0.708888\pi\)
0.988325 0.152361i \(-0.0486875\pi\)
\(390\) −0.349585 0.605499i −0.0177019 0.0306606i
\(391\) 33.9043 15.8980i 1.71461 0.803994i
\(392\) −3.02741 20.6763i −0.152907 1.04431i
\(393\) 0.995070 + 6.92087i 0.0501947 + 0.349111i
\(394\) −10.3475 + 0.988067i −0.521300 + 0.0497781i
\(395\) 2.28587 + 0.554547i 0.115015 + 0.0279023i
\(396\) 0.515200 0.178313i 0.0258898 0.00896055i
\(397\) 0.704474 0.170904i 0.0353566 0.00857741i −0.218042 0.975939i \(-0.569967\pi\)
0.253398 + 0.967362i \(0.418452\pi\)
\(398\) −13.3499 + 8.57946i −0.669170 + 0.430050i
\(399\) −1.98641 0.580473i −0.0994447 0.0290600i
\(400\) −10.9480 12.6347i −0.547402 0.631736i
\(401\) −8.92989 0.425383i −0.445937 0.0212426i −0.176587 0.984285i \(-0.556506\pi\)
−0.269350 + 0.963042i \(0.586809\pi\)
\(402\) 12.5228 + 9.84803i 0.624580 + 0.491175i
\(403\) −1.17898 0.927163i −0.0587294 0.0461853i
\(404\) 1.01164 + 0.0481906i 0.0503312 + 0.00239757i
\(405\) 0.170704 + 0.197003i 0.00848233 + 0.00978914i
\(406\) 9.14656 2.23146i 0.453936 0.110745i
\(407\) −16.6013 + 10.6690i −0.822895 + 0.528842i
\(408\) −22.6523 + 5.49538i −1.12145 + 0.272062i
\(409\) −21.1367 + 7.31547i −1.04514 + 0.361727i −0.795081 0.606504i \(-0.792572\pi\)
−0.250060 + 0.968230i \(0.580450\pi\)
\(410\) −2.45784 0.596265i −0.121384 0.0294474i
\(411\) −14.1886 + 1.35485i −0.699871 + 0.0668296i
\(412\) 0.179281 + 1.24692i 0.00883253 + 0.0614316i
\(413\) 11.5798 + 33.3182i 0.569806 + 1.63948i
\(414\) 0.0635153 + 6.30947i 0.00312161 + 0.310094i
\(415\) −2.15958 3.74049i −0.106009 0.183614i
\(416\) 1.14467 2.85924i 0.0561220 0.140186i
\(417\) −0.717811 1.00802i −0.0351514 0.0493632i
\(418\) −1.43942 + 1.50962i −0.0704045 + 0.0738381i
\(419\) −13.2941 + 15.3422i −0.649460 + 0.749517i −0.981018 0.193918i \(-0.937880\pi\)
0.331558 + 0.943435i \(0.392426\pi\)
\(420\) 0.00906639 + 0.185286i 0.000442395 + 0.00904102i
\(421\) 4.25782 + 6.62530i 0.207513 + 0.322897i 0.929373 0.369143i \(-0.120349\pi\)
−0.721859 + 0.692040i \(0.756712\pi\)
\(422\) −10.9129 + 15.3251i −0.531234 + 0.746013i
\(423\) −1.76247 9.14455i −0.0856941 0.444623i
\(424\) 4.66081 + 9.04071i 0.226349 + 0.439055i
\(425\) −35.7516 + 14.3128i −1.73421 + 0.694272i
\(426\) 4.30669 + 0.619209i 0.208660 + 0.0300008i
\(427\) 16.6604 17.5183i 0.806255 0.847768i
\(428\) 3.53604 3.06399i 0.170921 0.148104i
\(429\) −3.36585 2.39681i −0.162505 0.115719i
\(430\) 3.82635 0.182272i 0.184523 0.00878992i
\(431\) 7.21104 + 7.56273i 0.347344 + 0.364284i 0.874111 0.485726i \(-0.161445\pi\)
−0.526767 + 0.850009i \(0.676596\pi\)
\(432\) 0.641504 3.32844i 0.0308644 0.160139i
\(433\) −3.39294 + 0.996258i −0.163054 + 0.0478771i −0.362241 0.932085i \(-0.617988\pi\)
0.199186 + 0.979962i \(0.436170\pi\)
\(434\) −1.06691 2.32824i −0.0512134 0.111759i
\(435\) −0.697852 + 0.100336i −0.0334594 + 0.00481074i
\(436\) 3.44888 1.99121i 0.165172 0.0953618i
\(437\) 1.75240 + 3.31678i 0.0838287 + 0.158663i
\(438\) −5.33350 + 9.23789i −0.254845 + 0.441404i
\(439\) 19.2712 + 24.5054i 0.919765 + 1.16958i 0.985146 + 0.171716i \(0.0549313\pi\)
−0.0653811 + 0.997860i \(0.520826\pi\)
\(440\) 1.43472 + 0.655215i 0.0683976 + 0.0312361i
\(441\) 4.04564 5.71251i 0.192649 0.272024i
\(442\) 15.8276 + 13.7147i 0.752842 + 0.652341i
\(443\) −2.29063 9.44210i −0.108831 0.448608i 0.891156 0.453697i \(-0.149895\pi\)
−0.999987 + 0.00508930i \(0.998380\pi\)
\(444\) −0.124609 2.61586i −0.00591368 0.124143i
\(445\) −1.41818 0.135420i −0.0672281 0.00641951i
\(446\) −4.76030 1.64755i −0.225407 0.0780140i
\(447\) 12.4340 + 7.99082i 0.588106 + 0.377953i
\(448\) 17.5103 15.2124i 0.827284 0.718720i
\(449\) 2.19567 15.2712i 0.103620 0.720692i −0.870089 0.492895i \(-0.835939\pi\)
0.973709 0.227797i \(-0.0731522\pi\)
\(450\) 0.308760 6.48166i 0.0145551 0.305549i
\(451\) −14.6768 + 2.82873i −0.691105 + 0.133199i
\(452\) 0.187943 1.96823i 0.00884011 0.0925778i
\(453\) 2.95396 5.72988i 0.138789 0.269213i
\(454\) −14.1247 4.14739i −0.662906 0.194647i
\(455\) 1.10405 0.870551i 0.0517589 0.0408120i
\(456\) −0.657857 2.24046i −0.0308070 0.104919i
\(457\) 1.68043 + 17.5982i 0.0786072 + 0.823211i 0.945695 + 0.325056i \(0.105383\pi\)
−0.867088 + 0.498156i \(0.834011\pi\)
\(458\) −13.3293 5.33625i −0.622838 0.249347i
\(459\) −6.76206 3.90407i −0.315626 0.182227i
\(460\) 0.229585 0.245687i 0.0107045 0.0114552i
\(461\) 20.9132i 0.974025i −0.873395 0.487012i \(-0.838087\pi\)
0.873395 0.487012i \(-0.161913\pi\)
\(462\) −3.24111 6.26697i −0.150790 0.291566i
\(463\) 0.369330 0.808719i 0.0171642 0.0375844i −0.900856 0.434119i \(-0.857060\pi\)
0.918020 + 0.396534i \(0.129787\pi\)
\(464\) 6.63516 + 6.32662i 0.308030 + 0.293706i
\(465\) 0.0627264 + 0.181236i 0.00290887 + 0.00840461i
\(466\) −15.6160 + 14.8898i −0.723397 + 0.689758i
\(467\) 21.6251 + 11.1485i 1.00069 + 0.515892i 0.879074 0.476685i \(-0.158162\pi\)
0.121617 + 0.992577i \(0.461192\pi\)
\(468\) 0.498794 0.227792i 0.0230568 0.0105297i
\(469\) −15.9824 + 27.7652i −0.738000 + 1.28208i
\(470\) 1.72678 2.68692i 0.0796503 0.123938i
\(471\) 5.91105 + 14.7651i 0.272367 + 0.680339i
\(472\) −24.6024 + 31.2845i −1.13242 + 1.43999i
\(473\) 20.1224 10.3738i 0.925228 0.476988i
\(474\) 3.88298 11.2191i 0.178351 0.515312i
\(475\) −1.60259 3.50918i −0.0735319 0.161012i
\(476\) −2.07188 5.15597i −0.0949644 0.236323i
\(477\) −0.959923 + 3.26920i −0.0439519 + 0.149686i
\(478\) 33.4808 + 6.45289i 1.53137 + 0.295148i
\(479\) −3.62159 + 14.9284i −0.165475 + 0.682096i 0.827265 + 0.561812i \(0.189896\pi\)
−0.992740 + 0.120284i \(0.961620\pi\)
\(480\) −0.320789 + 0.228433i −0.0146419 + 0.0104265i
\(481\) −15.6019 + 12.2695i −0.711387 + 0.559441i
\(482\) −3.29056 −0.149881
\(483\) −12.5381 + 1.94832i −0.570503 + 0.0886517i
\(484\) −1.85375 −0.0842613
\(485\) 2.67525 2.10384i 0.121477 0.0955303i
\(486\) 1.07172 0.763171i 0.0486144 0.0346181i
\(487\) 1.03160 4.25232i 0.0467463 0.192691i −0.943651 0.330943i \(-0.892633\pi\)
0.990397 + 0.138252i \(0.0441484\pi\)
\(488\) 26.7849 + 5.16236i 1.21249 + 0.233689i
\(489\) 6.41183 21.8367i 0.289953 0.987490i
\(490\) 2.35616 0.460436i 0.106441 0.0208004i
\(491\) 6.79724 + 14.8839i 0.306755 + 0.671700i 0.998739 0.0502135i \(-0.0159902\pi\)
−0.691983 + 0.721913i \(0.743263\pi\)
\(492\) 0.648758 1.87446i 0.0292483 0.0845073i
\(493\) 18.7708 9.67700i 0.845392 0.435830i
\(494\) −1.29689 + 1.64913i −0.0583497 + 0.0741977i
\(495\) 0.196367 + 0.490501i 0.00882604 + 0.0220464i
\(496\) 1.34830 2.09800i 0.0605406 0.0942030i
\(497\) 0.0113137 + 8.74952i 0.000507487 + 0.392470i
\(498\) −19.8299 + 9.05603i −0.888601 + 0.405810i
\(499\) 14.4006 + 7.42401i 0.644658 + 0.332344i 0.749363 0.662159i \(-0.230360\pi\)
−0.104705 + 0.994503i \(0.533390\pi\)
\(500\) −0.503999 + 0.480563i −0.0225395 + 0.0214914i
\(501\) 2.95749 + 8.54510i 0.132131 + 0.381767i
\(502\) 12.5930 + 12.0074i 0.562051 + 0.535915i
\(503\) 13.8530 30.3338i 0.617674 1.35252i −0.299525 0.954089i \(-0.596828\pi\)
0.917199 0.398430i \(-0.130445\pi\)
\(504\) 7.88978 + 0.365612i 0.351439 + 0.0162857i
\(505\) 0.981513i 0.0436767i
\(506\) −4.06104 + 12.1272i −0.180535 + 0.539121i
\(507\) 7.65913 + 4.42200i 0.340154 + 0.196388i
\(508\) −0.243370 0.0974305i −0.0107978 0.00432278i
\(509\) −0.621734 6.51110i −0.0275579 0.288599i −0.998737 0.0502476i \(-0.983999\pi\)
0.971179 0.238352i \(-0.0766071\pi\)
\(510\) −0.754450 2.56942i −0.0334076 0.113776i
\(511\) −19.9244 7.94664i −0.881403 0.351539i
\(512\) 24.3320 + 7.14451i 1.07533 + 0.315746i
\(513\) 0.358421 0.695239i 0.0158247 0.0306956i
\(514\) −1.18132 + 12.3713i −0.0521057 + 0.545675i
\(515\) −1.19878 + 0.231046i −0.0528245 + 0.0101811i
\(516\) −0.142953 + 3.00095i −0.00629314 + 0.132109i
\(517\) 2.68632 18.6838i 0.118144 0.821712i
\(518\) −33.2706 + 6.45701i −1.46183 + 0.283705i
\(519\) 14.6191 + 9.39510i 0.641705 + 0.412399i
\(520\) 1.49915 + 0.518861i 0.0657421 + 0.0227536i
\(521\) −0.381697 0.0364476i −0.0167224 0.00159680i 0.0866915 0.996235i \(-0.472371\pi\)
−0.103414 + 0.994638i \(0.532977\pi\)
\(522\) 0.169319 + 3.55444i 0.00741089 + 0.155574i
\(523\) −0.0440489 0.181572i −0.00192612 0.00793959i 0.970840 0.239727i \(-0.0770579\pi\)
−0.972767 + 0.231787i \(0.925543\pi\)
\(524\) −1.42135 1.23160i −0.0620918 0.0538028i
\(525\) 12.9883 1.25718i 0.566855 0.0548678i
\(526\) −23.7954 10.8670i −1.03753 0.473824i
\(527\) −3.55113 4.51563i −0.154690 0.196704i
\(528\) 3.43523 5.95000i 0.149499 0.258940i
\(529\) 18.3618 + 13.8508i 0.798338 + 0.602209i
\(530\) −1.01199 + 0.584271i −0.0439579 + 0.0253791i
\(531\) −13.1963 + 1.89734i −0.572671 + 0.0823376i
\(532\) 0.506045 0.231894i 0.0219398 0.0100539i
\(533\) −14.4247 + 4.23546i −0.624802 + 0.183458i
\(534\) −1.36081 + 7.06056i −0.0588881 + 0.305540i
\(535\) 3.12906 + 3.28166i 0.135281 + 0.141879i
\(536\) −36.1067 + 1.71997i −1.55957 + 0.0742915i
\(537\) 11.7705 + 8.38177i 0.507936 + 0.361700i
\(538\) 1.35697 1.17583i 0.0585033 0.0506934i
\(539\) 11.5360 8.25976i 0.496889 0.355773i
\(540\) −0.0694015 0.00997843i −0.00298657 0.000429403i
\(541\) −33.6283 + 13.4627i −1.44579 + 0.578808i −0.956088 0.293080i \(-0.905320\pi\)
−0.489705 + 0.871888i \(0.662895\pi\)
\(542\) −14.5818 28.2848i −0.626343 1.21494i
\(543\) 1.07370 + 5.57087i 0.0460768 + 0.239069i
\(544\) 6.84246 9.60889i 0.293368 0.411978i
\(545\) 2.08657 + 3.24676i 0.0893787 + 0.139076i
\(546\) −3.84432 5.96490i −0.164522 0.255274i
\(547\) −1.62277 + 1.87278i −0.0693847 + 0.0800742i −0.789381 0.613904i \(-0.789598\pi\)
0.719996 + 0.693978i \(0.244144\pi\)
\(548\) 2.64562 2.77464i 0.113015 0.118527i
\(549\) 5.30028 + 7.44320i 0.226210 + 0.317668i
\(550\) 4.88825 12.2103i 0.208436 0.520647i
\(551\) 1.05778 + 1.83213i 0.0450629 + 0.0780513i
\(552\) −9.48394 10.7250i −0.403663 0.456486i
\(553\) 23.4484 + 4.48787i 0.997127 + 0.190844i
\(554\) 0.968127 + 6.73347i 0.0411318 + 0.286078i
\(555\) 2.52646 0.241247i 0.107242 0.0102404i
\(556\) 0.323474 + 0.0784740i 0.0137184 + 0.00332804i
\(557\) 23.0012 7.96080i 0.974593 0.337310i 0.207066 0.978327i \(-0.433608\pi\)
0.767527 + 0.641017i \(0.221487\pi\)
\(558\) 0.940701 0.228211i 0.0398230 0.00966096i
\(559\) 19.1556 12.3106i 0.810198 0.520682i
\(560\) 1.61544 + 1.68984i 0.0682647 + 0.0714089i
\(561\) −10.3639 11.9606i −0.437564 0.504976i
\(562\) −3.04544 0.145072i −0.128464 0.00611950i
\(563\) 8.80011 + 6.92048i 0.370880 + 0.291664i 0.786151 0.618034i \(-0.212071\pi\)
−0.415271 + 0.909698i \(0.636313\pi\)
\(564\) 1.96903 + 1.54846i 0.0829112 + 0.0652021i
\(565\) 1.91395 + 0.0911727i 0.0805205 + 0.00383566i
\(566\) 8.02430 + 9.26053i 0.337286 + 0.389249i
\(567\) 1.82825 + 1.91246i 0.0767794 + 0.0803157i
\(568\) −8.30509 + 5.33736i −0.348474 + 0.223951i
\(569\) −11.9058 + 2.88831i −0.499116 + 0.121084i −0.477411 0.878680i \(-0.658425\pi\)
−0.0217053 + 0.999764i \(0.506910\pi\)
\(570\) 0.253507 0.0877397i 0.0106182 0.00367501i
\(571\) −20.3353 4.93330i −0.851007 0.206452i −0.213544 0.976933i \(-0.568501\pi\)
−0.637463 + 0.770481i \(0.720016\pi\)
\(572\) 1.10640 0.105648i 0.0462608 0.00441737i
\(573\) −0.0564669 0.392736i −0.00235894 0.0164068i
\(574\) −25.2124 4.82549i −1.05235 0.201412i
\(575\) −18.0310 15.3089i −0.751944 0.638424i
\(576\) 4.38353 + 7.59249i 0.182647 + 0.316354i
\(577\) 15.6123 38.9975i 0.649947 1.62349i −0.125513 0.992092i \(-0.540058\pi\)
0.775460 0.631397i \(-0.217518\pi\)
\(578\) 33.5545 + 47.1207i 1.39568 + 1.95996i
\(579\) −0.430770 + 0.451778i −0.0179022 + 0.0187753i
\(580\) 0.124186 0.143319i 0.00515655 0.00595098i
\(581\) −23.7484 36.8484i −0.985251 1.52873i
\(582\) −9.28706 14.4509i −0.384961 0.599011i
\(583\) −4.00586 + 5.62544i −0.165906 + 0.232982i
\(584\) −4.58049 23.7658i −0.189542 0.983437i
\(585\) 0.243507 + 0.472338i 0.0100678 + 0.0195288i
\(586\) 13.1107 5.24873i 0.541598 0.216823i
\(587\) 7.03164 + 1.01100i 0.290227 + 0.0417283i 0.285890 0.958262i \(-0.407711\pi\)
0.00433621 + 0.999991i \(0.498620\pi\)
\(588\) 0.183823 + 1.87386i 0.00758074 + 0.0772766i
\(589\) 0.434920 0.376860i 0.0179206 0.0155282i
\(590\) −3.72454 2.65223i −0.153337 0.109191i
\(591\) 7.89157 0.375922i 0.324616 0.0154634i
\(592\) −22.7745 23.8852i −0.936024 0.981674i
\(593\) −2.62253 + 13.6070i −0.107694 + 0.558771i 0.887496 + 0.460815i \(0.152443\pi\)
−0.995191 + 0.0979566i \(0.968769\pi\)
\(594\) 2.55870 0.751301i 0.104985 0.0308263i
\(595\) 4.89553 2.24337i 0.200697 0.0919692i
\(596\) −3.93512 + 0.565784i −0.161189 + 0.0231754i
\(597\) 10.4455 6.03073i 0.427507 0.246822i
\(598\) −2.90665 + 12.5306i −0.118862 + 0.512415i
\(599\) 1.17735 2.03923i 0.0481052 0.0833207i −0.840970 0.541081i \(-0.818015\pi\)
0.889075 + 0.457761i \(0.151348\pi\)
\(600\) 9.10142 + 11.5734i 0.371564 + 0.472482i
\(601\) −5.41551 2.47318i −0.220903 0.100883i 0.301890 0.953343i \(-0.402383\pi\)
−0.522793 + 0.852460i \(0.675110\pi\)
\(602\) 38.6997 3.74588i 1.57728 0.152671i
\(603\) −9.15115 7.92952i −0.372664 0.322915i
\(604\) 0.408800 + 1.68510i 0.0166338 + 0.0685655i
\(605\) −0.0854808 1.79446i −0.00347529 0.0729553i
\(606\) 4.93154 + 0.470905i 0.200330 + 0.0191292i
\(607\) 45.5190 + 15.7543i 1.84756 + 0.639446i 0.992704 + 0.120578i \(0.0384748\pi\)
0.854854 + 0.518868i \(0.173646\pi\)
\(608\) 0.994107 + 0.638874i 0.0403164 + 0.0259098i
\(609\) −7.02478 + 1.36334i −0.284658 + 0.0552453i
\(610\) −0.445988 + 3.10192i −0.0180575 + 0.125593i
\(611\) 0.903363 18.9639i 0.0365461 0.767198i
\(612\) 2.06227 0.397471i 0.0833625 0.0160668i
\(613\) 0.459923 4.81653i 0.0185761 0.194538i −0.981420 0.191870i \(-0.938545\pi\)
0.999996 0.00266766i \(-0.000849145\pi\)
\(614\) −17.8414 + 34.6074i −0.720019 + 1.39664i
\(615\) 1.84443 + 0.541573i 0.0743746 + 0.0218383i
\(616\) 14.8697 + 5.93062i 0.599116 + 0.238951i
\(617\) −8.01129 27.2839i −0.322522 1.09841i −0.948027 0.318190i \(-0.896925\pi\)
0.625505 0.780220i \(-0.284893\pi\)
\(618\) 0.585728 + 6.13402i 0.0235614 + 0.246747i
\(619\) 29.1260 + 11.6603i 1.17067 + 0.468667i 0.873817 0.486255i \(-0.161637\pi\)
0.296857 + 0.954922i \(0.404062\pi\)
\(620\) −0.0446746 0.0257929i −0.00179418 0.00103587i
\(621\) 0.179962 4.79245i 0.00722164 0.192315i
\(622\) 3.49789i 0.140253i
\(623\) −14.4441 0.669340i −0.578692 0.0268165i
\(624\) 2.87065 6.28585i 0.114918 0.251635i
\(625\) 17.3590 + 16.5518i 0.694361 + 0.662072i
\(626\) −4.66053 13.4657i −0.186272 0.538199i
\(627\) 1.14741 1.09405i 0.0458230 0.0436922i
\(628\) −3.80238 1.96026i −0.151731 0.0782230i
\(629\) −69.1517 + 31.5805i −2.75726 + 1.25920i
\(630\) 0.00117331 + 0.907390i 4.67458e−5 + 0.0361513i
\(631\) −24.4345 + 38.0209i −0.972723 + 1.51359i −0.118977 + 0.992897i \(0.537962\pi\)
−0.853746 + 0.520690i \(0.825675\pi\)
\(632\) 10.0117 + 25.0079i 0.398243 + 0.994763i
\(633\) 8.83935 11.2401i 0.351333 0.446756i
\(634\) −4.80964 + 2.47954i −0.191015 + 0.0984752i
\(635\) 0.0830922 0.240079i 0.00329741 0.00952724i
\(636\) −0.380715 0.833649i −0.0150963 0.0330563i
\(637\) 10.7606 9.37298i 0.426352 0.371371i
\(638\) −2.03201 + 6.92040i −0.0804481 + 0.273981i
\(639\) −3.24725 0.625856i −0.128459 0.0247585i
\(640\) −0.523182 + 2.15659i −0.0206806 + 0.0852465i
\(641\) 19.0174 13.5423i 0.751144 0.534887i −0.139151 0.990271i \(-0.544437\pi\)
0.890295 + 0.455384i \(0.150498\pi\)
\(642\) 17.9897 14.1472i 0.709996 0.558347i
\(643\) −1.40004 −0.0552122 −0.0276061 0.999619i \(-0.508788\pi\)
−0.0276061 + 0.999619i \(0.508788\pi\)
\(644\) 2.20557 2.60456i 0.0869116 0.102634i
\(645\) −2.91156 −0.114643
\(646\) −6.31632 + 4.96721i −0.248512 + 0.195432i
\(647\) 25.7931 18.3672i 1.01403 0.722089i 0.0530200 0.998593i \(-0.483115\pi\)
0.961013 + 0.276504i \(0.0891759\pi\)
\(648\) −0.703801 + 2.90111i −0.0276479 + 0.113966i
\(649\) −26.5339 5.11399i −1.04155 0.200742i
\(650\) 3.72695 12.6928i 0.146183 0.497853i
\(651\) 0.725798 + 1.80618i 0.0284463 + 0.0707899i
\(652\) 2.54300 + 5.56838i 0.0995914 + 0.218075i
\(653\) −4.53736 + 13.1098i −0.177561 + 0.513027i −0.998301 0.0582743i \(-0.981440\pi\)
0.820740 + 0.571302i \(0.193561\pi\)
\(654\) 17.3142 8.92609i 0.677038 0.349038i
\(655\) 1.12667 1.43268i 0.0440227 0.0559795i
\(656\) −9.29042 23.2063i −0.362730 0.906055i
\(657\) 4.38329 6.82053i 0.171008 0.266094i
\(658\) 16.1726 28.0955i 0.630472 1.09528i
\(659\) −28.1598 + 12.8602i −1.09695 + 0.500961i −0.879881 0.475195i \(-0.842378\pi\)
−0.217071 + 0.976156i \(0.569650\pi\)
\(660\) −0.126316 0.0651206i −0.00491685 0.00253481i
\(661\) −18.9673 + 18.0853i −0.737743 + 0.703436i −0.962591 0.270957i \(-0.912660\pi\)
0.224848 + 0.974394i \(0.427811\pi\)
\(662\) 3.54345 + 10.2381i 0.137720 + 0.397916i
\(663\) −11.5203 10.9846i −0.447412 0.426607i
\(664\) 20.5479 44.9937i 0.797415 1.74609i
\(665\) 0.247813 + 0.479167i 0.00960977 + 0.0185813i
\(666\) 12.8097i 0.496367i
\(667\) 10.6411 + 7.41723i 0.412026 + 0.287196i
\(668\) −2.10637 1.21611i −0.0814977 0.0470527i
\(669\) 3.55444 + 1.42298i 0.137422 + 0.0550157i
\(670\) −0.394751 4.13402i −0.0152505 0.159711i
\(671\) 5.21784 + 17.7703i 0.201433 + 0.686016i
\(672\) −3.13872 + 2.47489i −0.121079 + 0.0954709i
\(673\) −7.48493 2.19777i −0.288523 0.0847180i 0.134269 0.990945i \(-0.457132\pi\)
−0.422791 + 0.906227i \(0.638950\pi\)
\(674\) 7.56943 14.6826i 0.291563 0.565554i
\(675\) −0.468821 + 4.90972i −0.0180449 + 0.188975i
\(676\) −2.33586 + 0.450200i −0.0898408 + 0.0173154i
\(677\) 0.0696933 1.46304i 0.00267853 0.0562293i −0.997132 0.0756777i \(-0.975888\pi\)
0.999811 + 0.0194484i \(0.00619101\pi\)
\(678\) 1.37635 9.57275i 0.0528585 0.367639i
\(679\) 26.0770 22.6550i 1.00074 0.869417i
\(680\) 5.11153 + 3.28498i 0.196018 + 0.125973i
\(681\) 10.5735 + 3.65953i 0.405178 + 0.140233i
\(682\) 1.95310 + 0.186498i 0.0747880 + 0.00714139i
\(683\) 1.51637 + 31.8326i 0.0580224 + 1.21804i 0.820737 + 0.571306i \(0.193563\pi\)
−0.762715 + 0.646735i \(0.776134\pi\)
\(684\) 0.0496020 + 0.204462i 0.00189658 + 0.00781781i
\(685\) 2.80790 + 2.43306i 0.107284 + 0.0929625i
\(686\) 23.6575 5.83650i 0.903246 0.222839i
\(687\) 9.92663 + 4.53334i 0.378725 + 0.172958i
\(688\) 23.4041 + 29.7608i 0.892275 + 1.13462i
\(689\) −3.47302 + 6.01544i −0.132311 + 0.229170i
\(690\) 1.17890 1.14696i 0.0448800 0.0436639i
\(691\) −7.39741 + 4.27090i −0.281411 + 0.162473i −0.634062 0.773282i \(-0.718614\pi\)
0.352651 + 0.935755i \(0.385280\pi\)
\(692\) −4.62666 + 0.665213i −0.175879 + 0.0252876i
\(693\) 2.23401 + 4.87510i 0.0848629 + 0.185190i
\(694\) 8.28188 2.43178i 0.314376 0.0923091i
\(695\) −0.0610481 + 0.316748i −0.00231569 + 0.0120149i
\(696\) −5.57177 5.84350i −0.211197 0.221497i
\(697\) −57.5151 + 2.73978i −2.17854 + 0.103777i
\(698\) −31.7111 22.5814i −1.20028 0.854717i
\(699\) 12.3942 10.7396i 0.468790 0.406209i
\(700\) −2.41882 + 2.54336i −0.0914229 + 0.0961301i
\(701\) −44.8670 6.45091i −1.69460 0.243647i −0.773733 0.633512i \(-0.781613\pi\)
−0.920872 + 0.389865i \(0.872522\pi\)
\(702\) 2.49006 0.996868i 0.0939811 0.0376243i
\(703\) −3.48965 6.76898i −0.131615 0.255297i
\(704\) 3.36293 + 17.4486i 0.126745 + 0.657617i
\(705\) −1.40814 + 1.97746i −0.0530338 + 0.0744755i
\(706\) −3.28549 5.11232i −0.123651 0.192405i
\(707\) 0.486883 + 9.95020i 0.0183111 + 0.374216i
\(708\) 2.34835 2.71014i 0.0882564 0.101853i
\(709\) −8.57209 + 8.99015i −0.321932 + 0.337632i −0.864736 0.502227i \(-0.832514\pi\)
0.542804 + 0.839859i \(0.317363\pi\)
\(710\) −0.657887 0.923874i −0.0246901 0.0346724i
\(711\) −3.35371 + 8.37715i −0.125774 + 0.314168i
\(712\) −8.15755 14.1293i −0.305717 0.529517i
\(713\) 1.43338 3.22417i 0.0536806 0.120746i
\(714\) −8.92289 25.6735i −0.333931 0.960808i
\(715\) 0.153288 + 1.06614i 0.00573264 + 0.0398714i
\(716\) −3.86912 + 0.369456i −0.144596 + 0.0138072i
\(717\) −25.1852 6.10987i −0.940560 0.228177i
\(718\) −18.9686 + 6.56509i −0.707901 + 0.245007i
\(719\) −21.0836 + 5.11483i −0.786286 + 0.190751i −0.608749 0.793363i \(-0.708328\pi\)
−0.177538 + 0.984114i \(0.556813\pi\)
\(720\) −0.743329 + 0.477709i −0.0277022 + 0.0178031i
\(721\) −12.0381 + 2.93691i −0.448324 + 0.109376i
\(722\) 15.8431 + 18.2839i 0.589617 + 0.680455i
\(723\) 2.49820 + 0.119004i 0.0929090 + 0.00442580i
\(724\) −1.19954 0.943326i −0.0445804 0.0350584i
\(725\) −10.4856 8.24594i −0.389424 0.306246i
\(726\) −9.05715 0.431445i −0.336142 0.0160124i
\(727\) −18.7222 21.6065i −0.694367 0.801342i 0.293613 0.955924i \(-0.405142\pi\)
−0.987980 + 0.154582i \(0.950597\pi\)
\(728\) 15.4552 + 4.51636i 0.572808 + 0.167387i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 2.70221 0.655548i 0.100013 0.0242629i
\(731\) 82.4162 28.5245i 3.04827 1.05502i
\(732\) −2.38852 0.579448i −0.0882821 0.0214170i
\(733\) 4.75424 0.453975i 0.175602 0.0167679i −0.00688465 0.999976i \(-0.502191\pi\)
0.182487 + 0.983208i \(0.441585\pi\)
\(734\) −5.18409 36.0561i −0.191348 1.33086i
\(735\) −1.80545 + 0.264352i −0.0665951 + 0.00975078i
\(736\) 7.18159 + 0.958874i 0.264717 + 0.0353446i
\(737\) −12.2714 21.2547i −0.452022 0.782926i
\(738\) 3.60600 9.00736i 0.132739 0.331566i
\(739\) 1.99774 + 2.80543i 0.0734879 + 0.103199i 0.849684 0.527292i \(-0.176793\pi\)
−0.776196 + 0.630492i \(0.782853\pi\)
\(740\) −0.471086 + 0.494060i −0.0173174 + 0.0181620i
\(741\) 1.04424 1.20512i 0.0383610 0.0442710i
\(742\) −9.96931 + 6.42512i −0.365985 + 0.235873i
\(743\) −6.74414 10.4941i −0.247419 0.384991i 0.695225 0.718792i \(-0.255305\pi\)
−0.942643 + 0.333802i \(0.891668\pi\)
\(744\) −1.27400 + 1.78909i −0.0467072 + 0.0655911i
\(745\) −0.729147 3.78317i −0.0267139 0.138605i
\(746\) −5.86122 11.3692i −0.214595 0.416255i
\(747\) 15.3824 6.15819i 0.562813 0.225316i
\(748\) 4.21356 + 0.605818i 0.154063 + 0.0221509i
\(749\) 33.3490 + 31.7160i 1.21855 + 1.15888i
\(750\) −2.57432 + 2.23066i −0.0940007 + 0.0814521i
\(751\) 4.36584 + 3.10890i 0.159312 + 0.113445i 0.656933 0.753949i \(-0.271854\pi\)
−0.497621 + 0.867395i \(0.665793\pi\)
\(752\) 31.5319 1.50205i 1.14985 0.0547742i
\(753\) −9.12634 9.57143i −0.332582 0.348802i
\(754\) −1.37290 + 7.12330i −0.0499982 + 0.259415i
\(755\) −1.61235 + 0.473429i −0.0586795 + 0.0172299i
\(756\) −0.708516 0.0667307i −0.0257685 0.00242697i
\(757\) −5.45875 + 0.784850i −0.198402 + 0.0285258i −0.240799 0.970575i \(-0.577409\pi\)
0.0423975 + 0.999101i \(0.486500\pi\)
\(758\) 27.0488 15.6166i 0.982458 0.567222i
\(759\) 3.52173 9.06013i 0.127831 0.328862i
\(760\) −0.304340 + 0.527132i −0.0110396 + 0.0191211i
\(761\) −16.6849 21.2166i −0.604828 0.769102i 0.383151 0.923686i \(-0.374839\pi\)
−0.987980 + 0.154584i \(0.950596\pi\)
\(762\) −1.16639 0.532674i −0.0422540 0.0192967i
\(763\) 22.7634 + 31.8794i 0.824090 + 1.15411i
\(764\) 0.0806567 + 0.0698894i 0.00291806 + 0.00252851i
\(765\) 0.479855 + 1.97799i 0.0173492 + 0.0715144i
\(766\) 2.09948 + 44.0735i 0.0758573 + 1.59244i
\(767\) −27.0559 2.58353i −0.976932 0.0932857i
\(768\) −5.98516 2.07148i −0.215971 0.0747482i
\(769\) 12.7098 + 8.16812i 0.458328 + 0.294550i 0.749359 0.662164i \(-0.230362\pi\)
−0.291031 + 0.956714i \(0.593998\pi\)
\(770\) −0.599283 + 1.73879i −0.0215967 + 0.0626615i
\(771\) 1.34427 9.34959i 0.0484126 0.336717i
\(772\) 0.00798926 0.167715i 0.000287540 0.00603620i