Properties

Label 483.2.bf.a.61.11
Level $483$
Weight $2$
Character 483.61
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 61.11
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.11

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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 0.181566 0.983379i \(-0.441883\pi\)
−0.912853 + 0.408288i \(0.866126\pi\)
\(3\) 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 −0.246164 0.969228i \(-0.579170\pi\)
0.131695 + 0.991290i \(0.457958\pi\)
\(6\) −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 0.937344 0.348406i \(-0.113277\pi\)
−0.559572 + 0.828782i \(0.689034\pi\)
\(12\) 0.0999694 0.249711i 0.0288587 0.0720855i
\(13\) 1.10216 + 1.71500i 0.305686 + 0.475656i 0.959779 0.280758i \(-0.0905859\pi\)
−0.654093 + 0.756414i \(0.726950\pi\)
\(14\) 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 0.907214 + 0.420670i \(0.138205\pi\)
0.463361 + 0.886170i \(0.346643\pi\)
\(18\) 0.430318 1.24332i 0.101427 0.293054i
\(19\) 0.566098 0.539774i 0.129872 0.123833i −0.622360 0.782731i \(-0.713826\pi\)
0.752232 + 0.658899i \(0.228977\pi\)
\(20\) 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 −0.0317556 0.999496i \(-0.510110\pi\)
0.513654 + 0.857998i \(0.328292\pi\)
\(30\) 0.157154 + 0.304836i 0.0286923 + 0.0556552i
\(31\) 0.0699355 + 0.732398i 0.0125608 + 0.131543i 0.999577 0.0290771i \(-0.00925682\pi\)
−0.987016 + 0.160620i \(0.948651\pi\)
\(32\) 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 −0.952399 0.304855i \(-0.901392\pi\)
−0.560187 + 0.828366i \(0.689271\pi\)
\(38\) −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 −0.970581 0.240773i \(-0.922599\pi\)
0.100195 + 0.994968i \(0.468053\pi\)
\(42\) 1.44195 + 3.16827i 0.222498 + 0.488874i
\(43\) 10.1601 4.63996i 1.54940 0.707588i 0.556986 0.830522i \(-0.311958\pi\)
0.992415 + 0.122934i \(0.0392304\pi\)
\(44\) 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 0.955185 0.296010i \(-0.0956562\pi\)
0.221240 + 0.975219i \(0.428990\pi\)
\(48\) 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 −0.187483 0.982268i \(-0.560033\pi\)
−0.280004 + 0.959999i \(0.590336\pi\)
\(54\) 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 0.0439457 + 0.999034i \(0.486007\pi\)
−0.839280 + 0.543699i \(0.817023\pi\)
\(60\) −0.0132694 + 0.0688481i −0.00171307 + 0.00888826i
\(61\) −5.30028 7.44320i −0.678631 0.953004i −0.999982 0.00604360i \(-0.998076\pi\)
0.321351 0.946960i \(-0.395863\pi\)
\(62\) 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 0.899679 + 0.436551i \(0.143800\pi\)
−0.349874 + 0.936797i \(0.613775\pi\)
\(68\) 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 0.942649 + 0.333785i \(0.108326\pi\)
−0.998503 + 0.0546899i \(0.982583\pi\)
\(72\) −2.97174 0.283767i −0.350223 0.0334422i
\(73\) 7.87904 1.91143i 0.922172 0.223716i 0.253553 0.967322i \(-0.418401\pi\)
0.668619 + 0.743605i \(0.266886\pi\)
\(74\) 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 −0.548034 0.836456i \(-0.684624\pi\)
−0.466042 + 0.884763i \(0.654320\pi\)
\(80\) −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 0.281102 0.959678i \(-0.409300\pi\)
0.909905 0.414817i \(-0.136155\pi\)
\(84\) −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 0.379326 0.925263i \(-0.376156\pi\)
0.197364 + 0.980330i \(0.436762\pi\)
\(90\) −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 −0.999944 0.0105935i \(-0.996628\pi\)
0.131821 0.991274i \(-0.457918\pi\)
\(98\) −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 −0.999998 0.00195446i \(-0.999378\pi\)
0.929093 + 0.369847i \(0.120590\pi\)
\(102\) 4.70738 9.13105i 0.466100 0.904108i
\(103\) 4.34796 + 1.74066i 0.428417 + 0.171512i 0.575842 0.817561i \(-0.304674\pi\)
−0.147425 + 0.989073i \(0.547099\pi\)
\(104\) −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 −0.370904 + 0.928671i \(0.620952\pi\)
−0.998906 + 0.0467660i \(0.985108\pi\)
\(108\) 0.268674 + 0.0127985i 0.0258532 + 0.00123154i
\(109\) −10.2171 + 10.7154i −0.978623 + 1.02635i 0.0210244 + 0.999779i \(0.493307\pi\)
−0.999647 + 0.0265708i \(0.991541\pi\)
\(110\) 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 −0.208691 0.977982i \(-0.566920\pi\)
−0.475767 + 0.879572i \(0.657829\pi\)
\(114\) −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 0.982742 0.184983i \(-0.0592229\pi\)
−0.995049 + 0.0993808i \(0.968314\pi\)
\(128\) 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 0.706392 0.707821i \(-0.250322\pi\)
−0.986321 + 0.164834i \(0.947291\pi\)
\(132\) 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 −0.923929 0.382565i \(-0.875041\pi\)
−0.130653 + 0.991428i \(0.541708\pi\)
\(138\) −3.60812 5.17639i −0.307143 0.440643i
\(139\) 1.23748i 0.104962i 0.998622 + 0.0524810i \(0.0167129\pi\)
−0.998622 + 0.0524810i \(0.983287\pi\)
\(140\) −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 −0.513878 0.857863i \(-0.671792\pi\)
0.963904 0.266248i \(-0.0857841\pi\)
\(150\) 4.01124 + 5.10071i 0.327517 + 0.416471i
\(151\) 5.72988 + 2.95396i 0.466291 + 0.240390i 0.675327 0.737518i \(-0.264002\pi\)
−0.209036 + 0.977908i \(0.567033\pi\)
\(152\) 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 −0.900639 0.434568i \(-0.856901\pi\)
0.601389 0.798956i \(-0.294614\pi\)
\(158\) 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 0.980893 + 0.194547i \(0.0623236\pi\)
0.420317 + 0.907377i \(0.361919\pi\)
\(164\) 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 −0.997422 0.0717626i \(-0.977138\pi\)
0.800287 0.599617i \(-0.204681\pi\)
\(168\) 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 −0.451440 0.892302i \(-0.649089\pi\)
0.942481 0.334260i \(-0.108486\pi\)
\(174\) −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 −0.618740 0.785595i \(-0.712357\pi\)
0.971986 0.235040i \(-0.0755220\pi\)
\(180\) −0.0507448 + 0.0483850i −0.00378229 + 0.00360641i
\(181\) −2.35681 5.16070i −0.175181 0.383592i 0.801592 0.597872i \(-0.203987\pi\)
−0.976772 + 0.214280i \(0.931260\pi\)
\(182\) 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 0.895322 0.445420i \(-0.146946\pi\)
−0.882166 + 0.470938i \(0.843915\pi\)
\(192\) −0.833362 8.72736i −0.0601427 0.629843i
\(193\) −0.612952 0.118137i −0.0441212 0.00850367i 0.167143 0.985933i \(-0.446546\pi\)
−0.211264 + 0.977429i \(0.567758\pi\)
\(194\) 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 −0.282021 0.959408i \(-0.591005\pi\)
0.755553 + 0.655088i \(0.227368\pi\)
\(198\) 2.52005 0.872198i 0.179092 0.0619844i
\(199\) 12.0069 1.14652i 0.851143 0.0812743i 0.339640 0.940556i \(-0.389695\pi\)
0.511503 + 0.859281i \(0.329089\pi\)
\(200\) 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 0.717512 0.696546i \(-0.245281\pi\)
0.227029 + 0.973888i \(0.427099\pi\)
\(212\) 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 −0.765005 0.644024i \(-0.777264\pi\)
0.903619 + 0.428336i \(0.140900\pi\)
\(224\) −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 −0.540954 0.841052i \(-0.681937\pi\)
0.971724 + 0.236121i \(0.0758762\pi\)
\(228\) −0.0781952 0.195322i −0.00517860 0.0129355i
\(229\) 5.45640 9.45076i 0.360569 0.624524i −0.627485 0.778628i \(-0.715916\pi\)
0.988055 + 0.154104i \(0.0492492\pi\)
\(230\) 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 0.614938 0.788576i \(-0.289181\pi\)
0.454586 + 0.890703i \(0.349787\pi\)
\(234\) 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 −0.136703 + 0.990612i \(0.543650\pi\)
−0.961074 + 0.276290i \(0.910895\pi\)
\(240\) −0.882596 + 0.0420432i −0.0569713 + 0.00271388i
\(241\) 1.96594 1.54603i 0.126637 0.0995888i −0.552831 0.833293i \(-0.686453\pi\)
0.679469 + 0.733704i \(0.262210\pi\)
\(242\) −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 0.840084 + 0.542457i \(0.182506\pi\)
−0.958882 + 0.283805i \(0.908403\pi\)
\(252\) −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 0.894914 0.446238i \(-0.147236\pi\)
−0.488314 + 0.872668i \(0.662388\pi\)
\(258\) −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 −0.421348 0.906899i \(-0.638443\pi\)
0.983144 0.182833i \(-0.0585268\pi\)
\(264\) −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 0.00598370 0.999982i \(-0.498095\pi\)
−0.0890977 + 0.996023i \(0.528398\pi\)
\(270\) −0.236670 + 0.248213i −0.0144033 + 0.0151057i
\(271\) −4.57741 23.7498i −0.278058 1.44270i −0.805241 0.592948i \(-0.797964\pi\)
0.527183 0.849752i \(-0.323248\pi\)
\(272\) 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 0.933180 0.359410i \(-0.117022\pi\)
−0.777848 + 0.628453i \(0.783689\pi\)
\(278\) 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 −0.601057 0.799206i \(-0.705253\pi\)
0.705532 + 0.708678i \(0.250708\pi\)
\(282\) 2.88870 11.9074i 0.172019 0.709073i
\(283\) −0.443148 + 9.30282i −0.0263424 + 0.552995i 0.946665 + 0.322220i \(0.104429\pi\)
−0.973007 + 0.230775i \(0.925874\pi\)
\(284\) 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 −0.568364 0.822777i \(-0.692423\pi\)
−0.0333113 + 0.999445i \(0.510605\pi\)
\(294\) −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 0.990661 0.136349i \(-0.0435368\pi\)
0.545699 + 0.837981i \(0.316264\pi\)
\(308\) −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 0.830412 0.557149i \(-0.188105\pi\)
−0.737221 + 0.675651i \(0.763862\pi\)
\(312\) −5.40930 2.78869i −0.306241 0.157878i
\(313\) −3.54229 10.2348i −0.200222 0.578504i 0.799533 0.600622i \(-0.205080\pi\)
−0.999755 + 0.0221178i \(0.992959\pi\)
\(314\) −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 −0.0745723 0.997216i \(-0.523759\pi\)
0.301397 + 0.953499i \(0.402547\pi\)
\(318\) 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 0.994501 0.104725i \(-0.0333962\pi\)
−0.846467 + 0.532441i \(0.821275\pi\)
\(332\) −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 0.0793042 0.996850i \(-0.474730\pi\)
−0.701436 + 0.712732i \(0.747457\pi\)
\(338\) −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 −0.529334 0.848414i \(-0.677558\pi\)
0.202376 + 0.979308i \(0.435134\pi\)
\(348\) 0.0691529 0.724202i 0.00370698 0.0388213i
\(349\) 8.33615 28.3903i 0.446224 1.51970i −0.362769 0.931879i \(-0.618168\pi\)
0.808992 0.587819i \(-0.200013\pi\)
\(350\) −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 −0.999607 0.0280283i \(-0.991077\pi\)
0.976239 0.216699i \(-0.0695289\pi\)
\(354\) 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 0.0810677 0.996709i \(-0.474167\pi\)
0.679848 + 0.733353i \(0.262046\pi\)
\(360\) 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 −0.959947 0.280180i \(-0.909606\pi\)
0.237330 0.971429i \(-0.423728\pi\)
\(368\) 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 −0.997951 0.0639865i \(-0.979619\pi\)
0.902684 0.430304i \(-0.141594\pi\)
\(374\) 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 −0.716299 0.697794i \(-0.754165\pi\)
−0.490692 + 0.871333i \(0.663256\pi\)
\(380\) 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 0.917013 + 0.398858i \(0.130593\pi\)
0.0769955 + 0.997031i \(0.475467\pi\)
\(384\) −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 0.988325 + 0.152361i \(0.0486875\pi\)
−0.610144 + 0.792291i \(0.708888\pi\)
\(390\) −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 0.253398 0.967362i \(-0.418452\pi\)
−0.218042 + 0.975939i \(0.569967\pi\)
\(398\) −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 −0.269350 0.963042i \(-0.586809\pi\)
−0.176587 + 0.984285i \(0.556506\pi\)
\(402\) 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 −0.250060 0.968230i \(-0.580450\pi\)
−0.795081 + 0.606504i \(0.792572\pi\)
\(410\) −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 0.331558 0.943435i \(-0.392426\pi\)
−0.981018 + 0.193918i \(0.937880\pi\)
\(420\) 0.00906639 0.185286i 0.000442395 0.00904102i
\(421\) 4.25782 6.62530i 0.207513 0.322897i −0.721859 0.692040i \(-0.756712\pi\)
0.929373 + 0.369143i \(0.120349\pi\)
\(422\) −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 −0.526767 0.850009i \(-0.676596\pi\)
0.874111 + 0.485726i \(0.161445\pi\)
\(432\) 0.641504 + 3.32844i 0.0308644 + 0.160139i
\(433\) −3.39294 0.996258i −0.163054 0.0478771i 0.199186 0.979962i \(-0.436170\pi\)
−0.362241 + 0.932085i \(0.617988\pi\)
\(434\) −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 −0.0653811 0.997860i \(-0.520826\pi\)
0.985146 0.171716i \(-0.0549313\pi\)
\(440\) 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 −0.999987 0.00508930i \(-0.998380\pi\)
0.891156 + 0.453697i \(0.149895\pi\)
\(444\) −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 0.973709 + 0.227797i \(0.0731522\pi\)
−0.870089 + 0.492895i \(0.835939\pi\)
\(450\) 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 −0.867088 0.498156i \(-0.834011\pi\)
0.945695 0.325056i \(-0.105383\pi\)
\(458\) −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 \(0.161913\pi\)
−0.873395 + 0.487012i \(0.838087\pi\)
\(462\) −3.24111 + 6.26697i −0.150790 + 0.291566i
\(463\) 0.369330 + 0.808719i 0.0171642 + 0.0375844i 0.918020 0.396534i \(-0.129787\pi\)
−0.900856 + 0.434119i \(0.857060\pi\)
\(464\) 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 0.121617 0.992577i \(-0.461192\pi\)
0.879074 + 0.476685i \(0.158162\pi\)
\(468\) 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 −0.992740 0.120284i \(-0.961620\pi\)
0.827265 0.561812i \(-0.189896\pi\)
\(480\) −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 0.990397 0.138252i \(-0.0441484\pi\)
−0.943651 + 0.330943i \(0.892633\pi\)
\(488\) 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 −0.691983 0.721913i \(-0.743263\pi\)
0.998739 + 0.0502135i \(0.0159902\pi\)
\(492\) 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 −0.104705 0.994503i \(-0.533390\pi\)
0.749363 + 0.662159i \(0.230360\pi\)
\(500\) −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 0.917199 + 0.398430i \(0.130445\pi\)
−0.299525 + 0.954089i \(0.596828\pi\)
\(504\) 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 0.971179 + 0.238352i \(0.0766071\pi\)
−0.998737 + 0.0502476i \(0.983999\pi\)
\(510\) −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 −0.103414 0.994638i \(-0.532977\pi\)
0.0866915 + 0.996235i \(0.472371\pi\)
\(522\) 0.169319 3.55444i 0.00741089 0.155574i
\(523\) −0.0440489 + 0.181572i −0.00192612 + 0.00793959i −0.972767 0.231787i \(-0.925543\pi\)
0.970840 + 0.239727i \(0.0770579\pi\)
\(524\) −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 −0.489705 0.871888i \(-0.662895\pi\)
−0.956088 + 0.293080i \(0.905320\pi\)
\(542\) −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 0.719996 0.693978i \(-0.244144\pi\)
−0.789381 + 0.613904i \(0.789598\pi\)
\(548\) 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 0.767527 0.641017i \(-0.221487\pi\)
0.207066 + 0.978327i \(0.433608\pi\)
\(558\) 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 −0.415271 0.909698i \(-0.636313\pi\)
0.786151 + 0.618034i \(0.212071\pi\)
\(564\) 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 −0.0217053 0.999764i \(-0.506910\pi\)
−0.477411 + 0.878680i \(0.658425\pi\)
\(570\) 0.253507 + 0.0877397i 0.0106182 + 0.00367501i
\(571\) −20.3353 + 4.93330i −0.851007 + 0.206452i −0.637463 0.770481i \(-0.720016\pi\)
−0.213544 + 0.976933i \(0.568501\pi\)
\(572\) 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 0.775460 + 0.631397i \(0.217518\pi\)
−0.125513 + 0.992092i \(0.540058\pi\)
\(578\) 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 0.00433621 0.999991i \(-0.498620\pi\)
0.285890 + 0.958262i \(0.407711\pi\)
\(588\) 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 −0.995191 0.0979566i \(-0.968769\pi\)
0.887496 0.460815i \(-0.152443\pi\)
\(594\) 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 0.889075 0.457761i \(-0.151348\pi\)
−0.840970 + 0.541081i \(0.818015\pi\)
\(600\) 9.10142 11.5734i 0.371564 0.472482i
\(601\) −5.41551 + 2.47318i −0.220903 + 0.100883i −0.522793 0.852460i \(-0.675110\pi\)
0.301890 + 0.953343i \(0.402383\pi\)
\(602\) 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 0.854854 0.518868i \(-0.173646\pi\)
0.992704 0.120578i \(-0.0384748\pi\)
\(608\) 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 0.999996 + 0.00266766i \(0.000849145\pi\)
−0.981420 + 0.191870i \(0.938545\pi\)
\(614\) −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 0.625505 + 0.780220i \(0.284893\pi\)
−0.948027 + 0.318190i \(0.896925\pi\)
\(618\) 0.585728 6.13402i 0.0235614 0.246747i
\(619\) 29.1260 11.6603i 1.17067 0.468667i 0.296857 0.954922i \(-0.404062\pi\)
0.873817 + 0.486255i \(0.161637\pi\)
\(620\) −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 −0.853746 0.520690i \(-0.825675\pi\)
−0.118977 0.992897i \(-0.537962\pi\)
\(632\) 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 0.890295 0.455384i \(-0.150498\pi\)
−0.139151 + 0.990271i \(0.544437\pi\)
\(642\) 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 0.961013 0.276504i \(-0.0891759\pi\)
0.0530200 + 0.998593i \(0.483115\pi\)
\(648\) −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 0.820740 0.571302i \(-0.193561\pi\)
−0.998301 + 0.0582743i \(0.981440\pi\)
\(654\) 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 −0.217071 0.976156i \(-0.569650\pi\)
−0.879881 + 0.475195i \(0.842378\pi\)
\(660\) −0.126316 + 0.0651206i −0.00491685 + 0.00253481i
\(661\) −18.9673 18.0853i −0.737743 0.703436i 0.224848 0.974394i \(-0.427811\pi\)
−0.962591 + 0.270957i \(0.912660\pi\)
\(662\) 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 −0.422791 0.906227i \(-0.638950\pi\)
0.134269 + 0.990945i \(0.457132\pi\)
\(674\) 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 0.999811 0.0194484i \(-0.00619101\pi\)
−0.997132 + 0.0756777i \(0.975888\pi\)
\(678\) 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 −0.762715 0.646735i \(-0.776134\pi\)
0.820737 0.571306i \(-0.193563\pi\)
\(684\) 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 0.352651 0.935755i \(-0.385280\pi\)
−0.634062 + 0.773282i \(0.718614\pi\)
\(692\) −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 −0.920872 0.389865i \(-0.872522\pi\)
−0.773733 + 0.633512i \(0.781613\pi\)
\(702\) 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 0.542804 0.839859i \(-0.317363\pi\)
−0.864736 + 0.502227i \(0.832514\pi\)
\(710\) −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 −0.177538 0.984114i \(-0.556813\pi\)
−0.608749 + 0.793363i \(0.708328\pi\)
\(720\) −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 −0.987980 0.154582i \(-0.950597\pi\)
0.293613 + 0.955924i \(0.405142\pi\)
\(728\) 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 0.182487 0.983208i \(-0.441585\pi\)
−0.00688465 + 0.999976i \(0.502191\pi\)
\(734\) −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 −0.776196 0.630492i \(-0.782853\pi\)
0.849684 + 0.527292i \(0.176793\pi\)
\(740\) −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 −0.942643 0.333802i \(-0.891668\pi\)
0.695225 + 0.718792i \(0.255305\pi\)
\(744\) −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 −0.497621 0.867395i \(-0.665793\pi\)
0.656933 + 0.753949i \(0.271854\pi\)
\(752\) 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 0.0423975 0.999101i \(-0.486500\pi\)
−0.240799 + 0.970575i \(0.577409\pi\)
\(758\) 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 −0.987980 0.154584i \(-0.950596\pi\)
0.383151 + 0.923686i \(0.374839\pi\)
\(762\) −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 −0.291031 0.956714i \(-0.593998\pi\)
0.749359 + 0.662164i \(0.230362\pi\)
\(770\) −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
\(773\)