Properties

Label 690.2.w.b.7.12
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.12
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.b.493.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.93237 - 1.12513i) q^{5} +(0.142315 - 0.989821i) q^{6} +(-0.968092 + 1.77293i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.93237 - 1.12513i) q^{5} +(0.142315 - 0.989821i) q^{6} +(-0.968092 + 1.77293i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(1.84719 - 1.26012i) q^{10} +(0.321659 - 0.278719i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(4.67392 - 2.55215i) q^{13} +(-0.839146 + 1.83747i) q^{14} +(-0.688666 - 2.12738i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-0.744916 - 0.995091i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(-0.0697719 - 0.485274i) q^{19} +(1.75258 - 1.38869i) q^{20} +(1.52663 + 1.32283i) q^{21} +(0.300956 - 0.300956i) q^{22} +(-1.55878 + 4.53544i) q^{23} -1.00000i q^{24} +(2.46814 - 4.34836i) q^{25} +(4.47995 - 2.87909i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(-0.705924 + 1.89266i) q^{28} +(-0.244429 - 0.0351436i) q^{29} +(-0.838677 - 2.07283i) q^{30} +(-1.06130 - 0.682055i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-0.203976 - 0.373554i) q^{33} +(-0.814007 - 0.939414i) q^{34} +(0.124066 + 4.51520i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(-0.587159 - 1.57423i) q^{37} +(-0.104213 - 0.479060i) q^{38} +(-1.50032 - 5.10961i) q^{39} +(1.64905 - 1.51018i) q^{40} +(-0.149201 - 0.326705i) q^{41} +(1.61711 + 1.21055i) q^{42} +(-2.91534 - 0.634194i) q^{43} +(0.278719 - 0.321659i) q^{44} +(-2.22515 + 0.220721i) q^{45} +(-1.23126 + 4.63508i) q^{46} +(-0.514682 - 0.514682i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(1.57841 + 2.45606i) q^{49} +(2.15165 - 4.51336i) q^{50} +(-1.13069 + 0.516371i) q^{51} +(4.26314 - 3.19135i) q^{52} +(-11.4864 - 6.27207i) q^{53} +(-0.540641 + 0.841254i) q^{54} +(0.307969 - 0.900499i) q^{55} +(-0.569105 + 1.93819i) q^{56} +(-0.489015 - 0.0349751i) q^{57} +(-0.246313 - 0.0176167i) q^{58} +(-2.87477 + 9.79058i) q^{59} +(-0.984414 - 2.00772i) q^{60} +(-7.18877 + 11.1859i) q^{61} +(-1.10725 - 0.604605i) q^{62} +(1.61711 - 1.21055i) q^{63} +(0.909632 - 0.415415i) q^{64} +(6.16025 - 10.1905i) q^{65} +(-0.230105 - 0.358051i) q^{66} +(0.459759 + 6.42827i) q^{67} +(-0.878950 - 0.878950i) q^{68} +(4.10045 + 2.48724i) q^{69} +(0.445861 + 4.49484i) q^{70} +(6.34548 - 7.32307i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(5.32346 + 3.98509i) q^{73} +(-0.697968 - 1.52834i) q^{74} +(-3.72435 - 3.33605i) q^{75} +(-0.138123 - 0.470405i) q^{76} +(0.182753 + 0.840104i) q^{77} +(-1.86101 - 4.98956i) q^{78} +(12.0678 + 3.54343i) q^{79} +(1.53711 - 1.62397i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-0.172128 - 0.315229i) q^{82} +(-8.26343 + 3.08210i) q^{83} +(1.69935 + 1.09210i) q^{84} +(-2.55907 - 1.08476i) q^{85} +(-2.95316 - 0.424600i) q^{86} +(-0.0862975 + 0.231373i) q^{87} +(0.255062 - 0.340723i) q^{88} +(12.7191 - 8.17409i) q^{89} +(-2.20373 + 0.378899i) q^{90} +10.7573i q^{91} +(-0.897457 + 4.71111i) q^{92} +(-0.892063 + 0.892063i) q^{93} +(-0.550087 - 0.476653i) q^{94} +(-0.680824 - 0.859229i) q^{95} +(-0.142315 - 0.989821i) q^{96} +(3.50298 + 1.30655i) q^{97} +(1.74960 + 2.33720i) q^{98} +(-0.408375 + 0.119910i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) 1.93237 1.12513i 0.864184 0.503175i
\(6\) 0.142315 0.989821i 0.0580998 0.404093i
\(7\) −0.968092 + 1.77293i −0.365904 + 0.670104i −0.994162 0.107902i \(-0.965587\pi\)
0.628257 + 0.778006i \(0.283769\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 1.84719 1.26012i 0.584131 0.398486i
\(11\) 0.321659 0.278719i 0.0969838 0.0840369i −0.605019 0.796211i \(-0.706835\pi\)
0.702003 + 0.712174i \(0.252289\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) 4.67392 2.55215i 1.29631 0.707840i 0.325015 0.945709i \(-0.394630\pi\)
0.971297 + 0.237868i \(0.0764487\pi\)
\(14\) −0.839146 + 1.83747i −0.224271 + 0.491086i
\(15\) −0.688666 2.12738i −0.177813 0.549287i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −0.744916 0.995091i −0.180669 0.241345i 0.701060 0.713103i \(-0.252711\pi\)
−0.881728 + 0.471758i \(0.843620\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) −0.0697719 0.485274i −0.0160068 0.111330i 0.980252 0.197754i \(-0.0633649\pi\)
−0.996258 + 0.0864248i \(0.972456\pi\)
\(20\) 1.75258 1.38869i 0.391889 0.310520i
\(21\) 1.52663 + 1.32283i 0.333138 + 0.288665i
\(22\) 0.300956 0.300956i 0.0641640 0.0641640i
\(23\) −1.55878 + 4.53544i −0.325029 + 0.945704i
\(24\) 1.00000i 0.204124i
\(25\) 2.46814 4.34836i 0.493629 0.869673i
\(26\) 4.47995 2.87909i 0.878590 0.564635i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) −0.705924 + 1.89266i −0.133407 + 0.357679i
\(29\) −0.244429 0.0351436i −0.0453893 0.00652599i 0.119583 0.992824i \(-0.461844\pi\)
−0.164972 + 0.986298i \(0.552753\pi\)
\(30\) −0.838677 2.07283i −0.153121 0.378445i
\(31\) −1.06130 0.682055i −0.190615 0.122501i 0.441853 0.897088i \(-0.354321\pi\)
−0.632467 + 0.774587i \(0.717958\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −0.203976 0.373554i −0.0355076 0.0650274i
\(34\) −0.814007 0.939414i −0.139601 0.161108i
\(35\) 0.124066 + 4.51520i 0.0209710 + 0.763208i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) −0.587159 1.57423i −0.0965284 0.258803i 0.879707 0.475517i \(-0.157739\pi\)
−0.976235 + 0.216714i \(0.930466\pi\)
\(38\) −0.104213 0.479060i −0.0169056 0.0777139i
\(39\) −1.50032 5.10961i −0.240243 0.818192i
\(40\) 1.64905 1.51018i 0.260738 0.238780i
\(41\) −0.149201 0.326705i −0.0233013 0.0510228i 0.897624 0.440763i \(-0.145292\pi\)
−0.920925 + 0.389740i \(0.872565\pi\)
\(42\) 1.61711 + 1.21055i 0.249525 + 0.186792i
\(43\) −2.91534 0.634194i −0.444586 0.0967137i −0.0153011 0.999883i \(-0.504871\pi\)
−0.429285 + 0.903169i \(0.641234\pi\)
\(44\) 0.278719 0.321659i 0.0420185 0.0484919i
\(45\) −2.22515 + 0.220721i −0.331705 + 0.0329031i
\(46\) −1.23126 + 4.63508i −0.181539 + 0.683406i
\(47\) −0.514682 0.514682i −0.0750740 0.0750740i 0.668573 0.743647i \(-0.266906\pi\)
−0.743647 + 0.668573i \(0.766906\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) 1.57841 + 2.45606i 0.225487 + 0.350865i
\(50\) 2.15165 4.51336i 0.304289 0.638285i
\(51\) −1.13069 + 0.516371i −0.158329 + 0.0723063i
\(52\) 4.26314 3.19135i 0.591191 0.442560i
\(53\) −11.4864 6.27207i −1.57778 0.861536i −0.998937 0.0460999i \(-0.985321\pi\)
−0.578848 0.815436i \(-0.696497\pi\)
\(54\) −0.540641 + 0.841254i −0.0735719 + 0.114480i
\(55\) 0.307969 0.900499i 0.0415265 0.121423i
\(56\) −0.569105 + 1.93819i −0.0760499 + 0.259002i
\(57\) −0.489015 0.0349751i −0.0647717 0.00463256i
\(58\) −0.246313 0.0176167i −0.0323425 0.00231318i
\(59\) −2.87477 + 9.79058i −0.374263 + 1.27462i 0.530127 + 0.847918i \(0.322144\pi\)
−0.904390 + 0.426706i \(0.859674\pi\)
\(60\) −0.984414 2.00772i −0.127087 0.259195i
\(61\) −7.18877 + 11.1859i −0.920427 + 1.43221i −0.0187394 + 0.999824i \(0.505965\pi\)
−0.901688 + 0.432388i \(0.857671\pi\)
\(62\) −1.10725 0.604605i −0.140621 0.0767849i
\(63\) 1.61711 1.21055i 0.203737 0.152515i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 6.16025 10.1905i 0.764085 1.26398i
\(66\) −0.230105 0.358051i −0.0283240 0.0440730i
\(67\) 0.459759 + 6.42827i 0.0561685 + 0.785338i 0.944993 + 0.327091i \(0.106068\pi\)
−0.888824 + 0.458248i \(0.848477\pi\)
\(68\) −0.878950 0.878950i −0.106588 0.106588i
\(69\) 4.10045 + 2.48724i 0.493636 + 0.299428i
\(70\) 0.445861 + 4.49484i 0.0532905 + 0.537236i
\(71\) 6.34548 7.32307i 0.753070 0.869089i −0.241792 0.970328i \(-0.577735\pi\)
0.994862 + 0.101239i \(0.0322808\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) 5.32346 + 3.98509i 0.623064 + 0.466420i 0.863571 0.504228i \(-0.168223\pi\)
−0.240507 + 0.970647i \(0.577314\pi\)
\(74\) −0.697968 1.52834i −0.0811371 0.177665i
\(75\) −3.72435 3.33605i −0.430051 0.385214i
\(76\) −0.138123 0.470405i −0.0158439 0.0539592i
\(77\) 0.182753 + 0.840104i 0.0208267 + 0.0957387i
\(78\) −1.86101 4.98956i −0.210718 0.564956i
\(79\) 12.0678 + 3.54343i 1.35774 + 0.398668i 0.877965 0.478726i \(-0.158901\pi\)
0.479772 + 0.877393i \(0.340719\pi\)
\(80\) 1.53711 1.62397i 0.171854 0.181566i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −0.172128 0.315229i −0.0190084 0.0348112i
\(83\) −8.26343 + 3.08210i −0.907030 + 0.338305i −0.759313 0.650725i \(-0.774465\pi\)
−0.147716 + 0.989030i \(0.547192\pi\)
\(84\) 1.69935 + 1.09210i 0.185414 + 0.119158i
\(85\) −2.55907 1.08476i −0.277570 0.117659i
\(86\) −2.95316 0.424600i −0.318447 0.0457858i
\(87\) −0.0862975 + 0.231373i −0.00925206 + 0.0248057i
\(88\) 0.255062 0.340723i 0.0271897 0.0363212i
\(89\) 12.7191 8.17409i 1.34823 0.866452i 0.350682 0.936495i \(-0.385950\pi\)
0.997544 + 0.0700423i \(0.0223134\pi\)
\(90\) −2.20373 + 0.378899i −0.232294 + 0.0399394i
\(91\) 10.7573i 1.12767i
\(92\) −0.897457 + 4.71111i −0.0935664 + 0.491167i
\(93\) −0.892063 + 0.892063i −0.0925026 + 0.0925026i
\(94\) −0.550087 0.476653i −0.0567372 0.0491630i
\(95\) −0.680824 0.859229i −0.0698511 0.0881550i
\(96\) −0.142315 0.989821i −0.0145249 0.101023i
\(97\) 3.50298 + 1.30655i 0.355674 + 0.132660i 0.520949 0.853588i \(-0.325578\pi\)
−0.165274 + 0.986248i \(0.552851\pi\)
\(98\) 1.74960 + 2.33720i 0.176737 + 0.236093i
\(99\) −0.408375 + 0.119910i −0.0410433 + 0.0120514i
\(100\) 1.82419 4.65536i 0.182419 0.465536i
\(101\) −1.24216 + 2.71995i −0.123600 + 0.270645i −0.961310 0.275470i \(-0.911167\pi\)
0.837710 + 0.546115i \(0.183894\pi\)
\(102\) −1.09098 + 0.595718i −0.108023 + 0.0589848i
\(103\) −0.711413 + 9.94685i −0.0700976 + 0.980092i 0.833724 + 0.552182i \(0.186205\pi\)
−0.903821 + 0.427910i \(0.859250\pi\)
\(104\) 4.02461 3.48734i 0.394645 0.341962i
\(105\) 4.43838 + 0.838543i 0.433142 + 0.0818334i
\(106\) −11.9046 5.43666i −1.15628 0.528055i
\(107\) −5.60980 + 1.22034i −0.542320 + 0.117974i −0.475377 0.879782i \(-0.657688\pi\)
−0.0669430 + 0.997757i \(0.521325\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) 0.454044 3.15794i 0.0434895 0.302476i −0.956454 0.291882i \(-0.905719\pi\)
0.999944 0.0105943i \(-0.00337234\pi\)
\(110\) 0.242944 0.920175i 0.0231638 0.0877352i
\(111\) −1.66307 + 0.239113i −0.157851 + 0.0226956i
\(112\) −0.429386 + 1.97386i −0.0405732 + 0.186512i
\(113\) −11.0438 + 0.789865i −1.03891 + 0.0743043i −0.580356 0.814363i \(-0.697087\pi\)
−0.458553 + 0.888667i \(0.651632\pi\)
\(114\) −0.490265 −0.0459175
\(115\) 2.09082 + 10.5180i 0.194970 + 0.980809i
\(116\) −0.246942 −0.0229280
\(117\) −5.31175 + 0.379904i −0.491072 + 0.0351221i
\(118\) −2.16900 + 9.97071i −0.199672 + 0.917879i
\(119\) 2.48537 0.357343i 0.227834 0.0327576i
\(120\) −1.12513 1.93237i −0.102710 0.176401i
\(121\) −1.53968 + 10.7087i −0.139971 + 0.973521i
\(122\) −6.37245 + 11.6703i −0.576935 + 1.05658i
\(123\) −0.350954 + 0.0763454i −0.0316445 + 0.00688384i
\(124\) −1.14756 0.524074i −0.103054 0.0470632i
\(125\) −0.123114 11.1797i −0.0110116 0.999939i
\(126\) 1.52663 1.32283i 0.136003 0.117847i
\(127\) 0.00850050 0.118852i 0.000754297 0.0105465i −0.997061 0.0766114i \(-0.975590\pi\)
0.997815 + 0.0660650i \(0.0210445\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) −1.23940 + 2.71391i −0.109123 + 0.238947i
\(130\) 5.41757 10.6040i 0.475153 0.930034i
\(131\) −6.95705 + 2.04277i −0.607840 + 0.178478i −0.571146 0.820848i \(-0.693501\pi\)
−0.0366944 + 0.999327i \(0.511683\pi\)
\(132\) −0.255062 0.340723i −0.0222003 0.0296561i
\(133\) 0.927903 + 0.346090i 0.0804594 + 0.0300098i
\(134\) 0.917175 + 6.37909i 0.0792319 + 0.551070i
\(135\) −0.257312 + 2.22121i −0.0221459 + 0.191172i
\(136\) −0.939414 0.814007i −0.0805541 0.0698005i
\(137\) −14.6440 + 14.6440i −1.25112 + 1.25112i −0.295905 + 0.955217i \(0.595621\pi\)
−0.955217 + 0.295905i \(0.904379\pi\)
\(138\) 4.26744 + 2.18838i 0.363268 + 0.186287i
\(139\) 2.99155i 0.253740i 0.991919 + 0.126870i \(0.0404932\pi\)
−0.991919 + 0.126870i \(0.959507\pi\)
\(140\) 0.765383 + 4.45158i 0.0646867 + 0.376227i
\(141\) −0.612323 + 0.393516i −0.0515669 + 0.0331400i
\(142\) 5.80689 7.75709i 0.487303 0.650961i
\(143\) 0.792075 2.12363i 0.0662366 0.177587i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −0.511869 + 0.207105i −0.0425084 + 0.0171991i
\(146\) 5.59419 + 3.59517i 0.462978 + 0.297538i
\(147\) 2.73544 1.02027i 0.225616 0.0841503i
\(148\) −0.805220 1.47465i −0.0661886 0.121215i
\(149\) −3.00356 3.46629i −0.246061 0.283970i 0.619262 0.785185i \(-0.287432\pi\)
−0.865323 + 0.501215i \(0.832887\pi\)
\(150\) −3.95285 3.06186i −0.322749 0.250000i
\(151\) −15.3577 4.50943i −1.24979 0.366972i −0.411106 0.911587i \(-0.634857\pi\)
−0.838686 + 0.544615i \(0.816676\pi\)
\(152\) −0.171330 0.459353i −0.0138967 0.0372585i
\(153\) 0.264224 + 1.21462i 0.0213612 + 0.0981959i
\(154\) 0.242220 + 0.824926i 0.0195187 + 0.0664744i
\(155\) −2.81823 0.123882i −0.226366 0.00995048i
\(156\) −2.21222 4.84408i −0.177119 0.387837i
\(157\) −7.06033 5.28529i −0.563475 0.421812i 0.279201 0.960233i \(-0.409930\pi\)
−0.842676 + 0.538420i \(0.819021\pi\)
\(158\) 12.2899 + 2.67350i 0.977729 + 0.212692i
\(159\) −8.57036 + 9.89072i −0.679673 + 0.784385i
\(160\) 1.41734 1.72949i 0.112051 0.136728i
\(161\) −6.53196 7.15433i −0.514791 0.563840i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) −0.0367262 0.513499i −0.00287662 0.0402204i 0.995811 0.0914349i \(-0.0291453\pi\)
−0.998688 + 0.0512145i \(0.983691\pi\)
\(164\) −0.194178 0.302147i −0.0151627 0.0235937i
\(165\) −0.814456 0.492346i −0.0634053 0.0383291i
\(166\) −8.02250 + 3.66376i −0.622667 + 0.284363i
\(167\) −10.5262 + 7.87983i −0.814544 + 0.609760i −0.923200 0.384320i \(-0.874436\pi\)
0.108656 + 0.994079i \(0.465345\pi\)
\(168\) 1.77293 + 0.968092i 0.136784 + 0.0746899i
\(169\) 8.30373 12.9209i 0.638748 0.993912i
\(170\) −2.62993 0.899433i −0.201707 0.0689834i
\(171\) −0.138123 + 0.470405i −0.0105626 + 0.0359728i
\(172\) −2.97593 0.212842i −0.226912 0.0162291i
\(173\) −5.22546 0.373732i −0.397284 0.0284143i −0.128732 0.991679i \(-0.541091\pi\)
−0.268552 + 0.963265i \(0.586545\pi\)
\(174\) −0.0695717 + 0.236939i −0.00527422 + 0.0179623i
\(175\) 5.31995 + 8.58546i 0.402150 + 0.649000i
\(176\) 0.230105 0.358051i 0.0173448 0.0269891i
\(177\) 8.95575 + 4.89021i 0.673156 + 0.367571i
\(178\) 12.1036 9.06064i 0.907203 0.679124i
\(179\) 20.2096 9.22942i 1.51054 0.689839i 0.523751 0.851871i \(-0.324532\pi\)
0.986785 + 0.162032i \(0.0518049\pi\)
\(180\) −2.17109 + 0.535146i −0.161823 + 0.0398874i
\(181\) 9.41541 + 14.6507i 0.699842 + 1.08897i 0.991202 + 0.132361i \(0.0422559\pi\)
−0.291360 + 0.956613i \(0.594108\pi\)
\(182\) 0.767414 + 10.7298i 0.0568845 + 0.795349i
\(183\) 9.40222 + 9.40222i 0.695032 + 0.695032i
\(184\) −0.559083 + 4.76313i −0.0412162 + 0.351143i
\(185\) −2.90584 2.38138i −0.213641 0.175082i
\(186\) −0.826151 + 0.953429i −0.0605763 + 0.0699088i
\(187\) −0.516960 0.112458i −0.0378038 0.00822372i
\(188\) −0.582690 0.436196i −0.0424970 0.0318129i
\(189\) −0.839146 1.83747i −0.0610389 0.133657i
\(190\) −0.740387 0.808470i −0.0537133 0.0586526i
\(191\) 0.628879 + 2.14177i 0.0455041 + 0.154973i 0.979111 0.203326i \(-0.0651751\pi\)
−0.933607 + 0.358299i \(0.883357\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) −4.34530 11.6502i −0.312781 0.838599i −0.994282 0.106782i \(-0.965945\pi\)
0.681501 0.731817i \(-0.261327\pi\)
\(194\) 3.58727 + 1.05332i 0.257551 + 0.0756237i
\(195\) −8.64817 8.18562i −0.619308 0.586184i
\(196\) 1.91188 + 2.20643i 0.136563 + 0.157602i
\(197\) −6.73334 12.3312i −0.479730 0.878561i −0.999703 0.0243776i \(-0.992240\pi\)
0.519972 0.854183i \(-0.325942\pi\)
\(198\) −0.398780 + 0.148737i −0.0283401 + 0.0105703i
\(199\) 11.0213 + 7.08299i 0.781282 + 0.502100i 0.869459 0.494005i \(-0.164468\pi\)
−0.0881767 + 0.996105i \(0.528104\pi\)
\(200\) 1.48743 4.77363i 0.105177 0.337547i
\(201\) 6.37909 + 0.917175i 0.449947 + 0.0646926i
\(202\) −1.04496 + 2.80164i −0.0735229 + 0.197122i
\(203\) 0.298937 0.399333i 0.0209812 0.0280277i
\(204\) −1.04570 + 0.672029i −0.0732135 + 0.0470515i
\(205\) −0.655901 0.463446i −0.0458101 0.0323685i
\(206\) 9.97226i 0.694800i
\(207\) 3.30201 3.47804i 0.229505 0.241740i
\(208\) 3.76557 3.76557i 0.261095 0.261095i
\(209\) −0.157698 0.136646i −0.0109082 0.00945200i
\(210\) 4.48690 + 0.519776i 0.309625 + 0.0358680i
\(211\) 2.44962 + 17.0375i 0.168639 + 1.17291i 0.881702 + 0.471808i \(0.156398\pi\)
−0.713063 + 0.701100i \(0.752693\pi\)
\(212\) −12.2621 4.57354i −0.842167 0.314112i
\(213\) −5.80689 7.75709i −0.397881 0.531507i
\(214\) −5.50845 + 1.61743i −0.376550 + 0.110565i
\(215\) −6.34709 + 2.05465i −0.432868 + 0.140126i
\(216\) −0.415415 + 0.909632i −0.0282654 + 0.0618926i
\(217\) 2.23667 1.22131i 0.151835 0.0829082i
\(218\) 0.227602 3.18229i 0.0154151 0.215532i
\(219\) 5.02560 4.35471i 0.339599 0.294264i
\(220\) 0.176680 0.935162i 0.0119118 0.0630486i
\(221\) −6.02131 2.74984i −0.405037 0.184974i
\(222\) −1.64177 + 0.357146i −0.110189 + 0.0239701i
\(223\) 9.34418 17.1126i 0.625732 1.14594i −0.351983 0.936007i \(-0.614492\pi\)
0.977715 0.209937i \(-0.0673258\pi\)
\(224\) −0.287479 + 1.99946i −0.0192080 + 0.133594i
\(225\) −4.05148 + 2.93011i −0.270099 + 0.195340i
\(226\) −10.9593 + 1.57571i −0.729000 + 0.104814i
\(227\) 1.06268 4.88507i 0.0705327 0.324234i −0.928338 0.371736i \(-0.878763\pi\)
0.998871 + 0.0475026i \(0.0151262\pi\)
\(228\) −0.489015 + 0.0349751i −0.0323858 + 0.00231628i
\(229\) 6.18889 0.408973 0.204487 0.978869i \(-0.434447\pi\)
0.204487 + 0.978869i \(0.434447\pi\)
\(230\) 2.83584 + 10.3420i 0.186990 + 0.681935i
\(231\) 0.859752 0.0565675
\(232\) −0.246313 + 0.0176167i −0.0161712 + 0.00115659i
\(233\) 3.56179 16.3733i 0.233341 1.07265i −0.700135 0.714010i \(-0.746877\pi\)
0.933476 0.358640i \(-0.116759\pi\)
\(234\) −5.27112 + 0.757872i −0.344584 + 0.0495437i
\(235\) −1.57364 0.415472i −0.102653 0.0271024i
\(236\) −1.45217 + 10.1000i −0.0945280 + 0.657457i
\(237\) 6.02766 11.0388i 0.391538 0.717049i
\(238\) 2.45355 0.533737i 0.159040 0.0345970i
\(239\) 20.1973 + 9.22378i 1.30645 + 0.596637i 0.942321 0.334711i \(-0.108639\pi\)
0.364131 + 0.931348i \(0.381366\pi\)
\(240\) −1.26012 1.84719i −0.0813405 0.119235i
\(241\) 5.42682 4.70237i 0.349572 0.302906i −0.462320 0.886713i \(-0.652983\pi\)
0.811893 + 0.583807i \(0.198437\pi\)
\(242\) −0.771808 + 10.7913i −0.0496137 + 0.693690i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) −5.52367 + 12.0951i −0.353617 + 0.774313i
\(245\) 5.81348 + 2.97010i 0.371410 + 0.189753i
\(246\) −0.344614 + 0.101188i −0.0219718 + 0.00645149i
\(247\) −1.56460 2.09007i −0.0995534 0.132988i
\(248\) −1.18203 0.440873i −0.0750587 0.0279954i
\(249\) 1.25515 + 8.72974i 0.0795417 + 0.553225i
\(250\) −0.920348 11.1424i −0.0582079 0.704707i
\(251\) −19.9335 17.2725i −1.25819 1.09023i −0.991991 0.126311i \(-0.959686\pi\)
−0.266201 0.963918i \(-0.585768\pi\)
\(252\) 1.42837 1.42837i 0.0899788 0.0899788i
\(253\) 0.762716 + 1.89333i 0.0479516 + 0.119032i
\(254\) 0.119156i 0.00747652i
\(255\) −1.60394 + 2.27000i −0.100442 + 0.142153i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 16.0808 21.4815i 1.00310 1.33998i 0.0633920 0.997989i \(-0.479808\pi\)
0.939704 0.341990i \(-0.111101\pi\)
\(258\) −1.04264 + 2.79542i −0.0649117 + 0.174035i
\(259\) 3.35943 + 0.483013i 0.208745 + 0.0300130i
\(260\) 4.64729 10.9635i 0.288213 0.679926i
\(261\) 0.207741 + 0.133507i 0.0128589 + 0.00826388i
\(262\) −6.79360 + 2.53388i −0.419710 + 0.156544i
\(263\) −9.98394 18.2842i −0.615636 1.12745i −0.980524 0.196401i \(-0.937074\pi\)
0.364888 0.931052i \(-0.381107\pi\)
\(264\) −0.278719 0.321659i −0.0171540 0.0197967i
\(265\) −29.2530 + 0.803800i −1.79700 + 0.0493770i
\(266\) 0.950228 + 0.279012i 0.0582622 + 0.0171073i
\(267\) −5.28364 14.1660i −0.323354 0.866945i
\(268\) 1.36992 + 6.29741i 0.0836810 + 0.384676i
\(269\) −4.04189 13.7654i −0.246438 0.839291i −0.986077 0.166288i \(-0.946822\pi\)
0.739639 0.673004i \(-0.234996\pi\)
\(270\) −0.0981972 + 2.23391i −0.00597609 + 0.135951i
\(271\) 4.92305 + 10.7800i 0.299054 + 0.654836i 0.998189 0.0601529i \(-0.0191588\pi\)
−0.699135 + 0.714989i \(0.746432\pi\)
\(272\) −0.995091 0.744916i −0.0603363 0.0451672i
\(273\) 10.5114 + 2.28662i 0.636180 + 0.138392i
\(274\) −13.5620 + 15.6514i −0.819311 + 0.945535i
\(275\) −0.418071 2.08661i −0.0252106 0.125827i
\(276\) 4.41268 + 1.87837i 0.265612 + 0.113064i
\(277\) 17.9030 + 17.9030i 1.07569 + 1.07569i 0.996891 + 0.0787992i \(0.0251086\pi\)
0.0787992 + 0.996891i \(0.474891\pi\)
\(278\) 0.213415 + 2.98393i 0.0127998 + 0.178964i
\(279\) 0.682055 + 1.06130i 0.0408335 + 0.0635382i
\(280\) 1.08101 + 4.38564i 0.0646024 + 0.262092i
\(281\) 15.0582 6.87683i 0.898295 0.410238i 0.0879053 0.996129i \(-0.471983\pi\)
0.810390 + 0.585891i \(0.199255\pi\)
\(282\) −0.582690 + 0.436196i −0.0346987 + 0.0259751i
\(283\) −17.1865 9.38456i −1.02163 0.557854i −0.121100 0.992640i \(-0.538642\pi\)
−0.900534 + 0.434786i \(0.856824\pi\)
\(284\) 5.23871 8.15159i 0.310860 0.483708i
\(285\) −0.984313 + 0.482623i −0.0583057 + 0.0285881i
\(286\) 0.638558 2.17473i 0.0377587 0.128594i
\(287\) 0.723666 + 0.0517576i 0.0427167 + 0.00305516i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) 4.35415 14.8289i 0.256126 0.872286i
\(290\) −0.495790 + 0.243093i −0.0291138 + 0.0142749i
\(291\) 2.02130 3.14520i 0.118491 0.184375i
\(292\) 5.83641 + 3.18692i 0.341550 + 0.186501i
\(293\) 1.64811 1.23376i 0.0962839 0.0720772i −0.550051 0.835131i \(-0.685392\pi\)
0.646335 + 0.763054i \(0.276301\pi\)
\(294\) 2.65569 1.21281i 0.154883 0.0707327i
\(295\) 5.46058 + 22.1536i 0.317927 + 1.28983i
\(296\) −0.908368 1.41345i −0.0527978 0.0821550i
\(297\) 0.0303631 + 0.424531i 0.00176184 + 0.0246338i
\(298\) −3.24319 3.24319i −0.187873 0.187873i
\(299\) 4.28951 + 25.1765i 0.248069 + 1.45600i
\(300\) −4.16121 2.77206i −0.240247 0.160045i
\(301\) 3.94670 4.55474i 0.227484 0.262531i
\(302\) −15.6403 3.40233i −0.899997 0.195782i
\(303\) 2.39375 + 1.79194i 0.137517 + 0.102944i
\(304\) −0.203663 0.445960i −0.0116809 0.0255776i
\(305\) −1.30570 + 29.7038i −0.0747644 + 1.70083i
\(306\) 0.350200 + 1.19267i 0.0200196 + 0.0681805i
\(307\) −4.37707 20.1211i −0.249813 1.14837i −0.915556 0.402190i \(-0.868249\pi\)
0.665744 0.746180i \(-0.268114\pi\)
\(308\) 0.300452 + 0.805544i 0.0171199 + 0.0459001i
\(309\) 9.56831 + 2.80951i 0.544322 + 0.159827i
\(310\) −2.81989 + 0.0774833i −0.160159 + 0.00440076i
\(311\) −9.64472 11.1306i −0.546902 0.631158i 0.413257 0.910615i \(-0.364391\pi\)
−0.960158 + 0.279456i \(0.909846\pi\)
\(312\) −2.55215 4.67392i −0.144487 0.264609i
\(313\) −6.65571 + 2.48245i −0.376203 + 0.140316i −0.530451 0.847716i \(-0.677977\pi\)
0.154248 + 0.988032i \(0.450705\pi\)
\(314\) −7.41939 4.76815i −0.418700 0.269082i
\(315\) 1.76283 4.15871i 0.0993240 0.234317i
\(316\) 12.4493 + 1.78994i 0.700327 + 0.100692i
\(317\) −8.11970 + 21.7698i −0.456048 + 1.22271i 0.481989 + 0.876177i \(0.339914\pi\)
−0.938037 + 0.346535i \(0.887358\pi\)
\(318\) −7.84292 + 10.4769i −0.439809 + 0.587517i
\(319\) −0.0884179 + 0.0568227i −0.00495045 + 0.00318146i
\(320\) 1.29035 1.82620i 0.0721329 0.102087i
\(321\) 5.74100i 0.320431i
\(322\) −7.02570 6.67012i −0.391527 0.371711i
\(323\) −0.430918 + 0.430918i −0.0239769 + 0.0239769i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 0.438220 26.6230i 0.0243081 1.47678i
\(326\) −0.0732652 0.509571i −0.00405778 0.0282225i
\(327\) −2.98926 1.11494i −0.165307 0.0616562i
\(328\) −0.215238 0.287524i −0.0118845 0.0158759i
\(329\) 1.41075 0.414234i 0.0777773 0.0228375i
\(330\) −0.847505 0.432989i −0.0466536 0.0238352i
\(331\) 6.36854 13.9451i 0.350046 0.766495i −0.649932 0.759992i \(-0.725203\pi\)
0.999979 0.00650270i \(-0.00206989\pi\)
\(332\) −7.74069 + 4.22674i −0.424826 + 0.231972i
\(333\) −0.119862 + 1.67589i −0.00656839 + 0.0918381i
\(334\) −9.93726 + 8.61069i −0.543743 + 0.471156i
\(335\) 8.12110 + 11.9045i 0.443703 + 0.650414i
\(336\) 1.83747 + 0.839146i 0.100242 + 0.0457792i
\(337\) 19.8139 4.31024i 1.07933 0.234794i 0.362459 0.932000i \(-0.381937\pi\)
0.716871 + 0.697206i \(0.245574\pi\)
\(338\) 7.36081 13.4803i 0.400375 0.733232i
\(339\) −1.57571 + 10.9593i −0.0855806 + 0.595226i
\(340\) −2.68740 0.709524i −0.145745 0.0384793i
\(341\) −0.531477 + 0.0764149i −0.0287811 + 0.00413810i
\(342\) −0.104213 + 0.479060i −0.00563521 + 0.0259046i
\(343\) −19.9866 + 1.42947i −1.07917 + 0.0771840i
\(344\) −2.98353 −0.160861
\(345\) 10.7221 + 0.192721i 0.577257 + 0.0103757i
\(346\) −5.23880 −0.281640
\(347\) −9.05710 + 0.647777i −0.486211 + 0.0347745i −0.312293 0.949986i \(-0.601097\pi\)
−0.173917 + 0.984760i \(0.555643\pi\)
\(348\) −0.0524914 + 0.241299i −0.00281383 + 0.0129350i
\(349\) −22.4242 + 3.22412i −1.20034 + 0.172583i −0.713340 0.700818i \(-0.752818\pi\)
−0.487001 + 0.873401i \(0.661909\pi\)
\(350\) 5.91887 + 8.18407i 0.316377 + 0.437457i
\(351\) −0.757872 + 5.27112i −0.0404522 + 0.281351i
\(352\) 0.203976 0.373554i 0.0108719 0.0199105i
\(353\) 9.33679 2.03109i 0.496947 0.108104i 0.0428955 0.999080i \(-0.486342\pi\)
0.454052 + 0.890975i \(0.349978\pi\)
\(354\) 9.28180 + 4.23886i 0.493322 + 0.225293i
\(355\) 4.02240 21.2904i 0.213487 1.12998i
\(356\) 11.4264 9.90102i 0.605597 0.524753i
\(357\) 0.179128 2.50453i 0.00948045 0.132554i
\(358\) 19.4997 10.6476i 1.03059 0.562745i
\(359\) −3.18130 + 6.96608i −0.167903 + 0.367655i −0.974815 0.223016i \(-0.928410\pi\)
0.806912 + 0.590671i \(0.201137\pi\)
\(360\) −2.12738 + 0.688666i −0.112123 + 0.0362959i
\(361\) 17.9997 5.28520i 0.947355 0.278169i
\(362\) 10.4366 + 13.9416i 0.548535 + 0.732756i
\(363\) 10.1367 + 3.78080i 0.532040 + 0.198441i
\(364\) 1.53092 + 10.6478i 0.0802418 + 0.558094i
\(365\) 14.7707 + 1.71108i 0.773133 + 0.0895622i
\(366\) 10.0490 + 8.70752i 0.525270 + 0.455149i
\(367\) −5.48234 + 5.48234i −0.286176 + 0.286176i −0.835566 0.549390i \(-0.814860\pi\)
0.549390 + 0.835566i \(0.314860\pi\)
\(368\) −0.217861 + 4.79088i −0.0113568 + 0.249742i
\(369\) 0.359162i 0.0186972i
\(370\) −3.06832 2.16801i −0.159514 0.112709i
\(371\) 22.2399 14.2927i 1.15464 0.742040i
\(372\) −0.756029 + 1.00994i −0.0391983 + 0.0523628i
\(373\) 6.69643 17.9538i 0.346728 0.929614i −0.640165 0.768238i \(-0.721134\pi\)
0.986893 0.161377i \(-0.0515933\pi\)
\(374\) −0.523665 0.0752917i −0.0270781 0.00389324i
\(375\) −10.9503 2.25611i −0.565473 0.116505i
\(376\) −0.612323 0.393516i −0.0315781 0.0202940i
\(377\) −1.23213 + 0.459562i −0.0634581 + 0.0236686i
\(378\) −0.968092 1.77293i −0.0497933 0.0911896i
\(379\) 8.74731 + 10.0949i 0.449319 + 0.518542i 0.934544 0.355848i \(-0.115808\pi\)
−0.485225 + 0.874389i \(0.661262\pi\)
\(380\) −0.796176 0.753592i −0.0408430 0.0386585i
\(381\) −0.114329 0.0335701i −0.00585727 0.00171985i
\(382\) 0.780069 + 2.09145i 0.0399118 + 0.107008i
\(383\) −0.187283 0.860928i −0.00956974 0.0439914i 0.972114 0.234507i \(-0.0753476\pi\)
−0.981684 + 0.190516i \(0.938984\pi\)
\(384\) −0.281733 0.959493i −0.0143771 0.0489639i
\(385\) 1.29838 + 1.41777i 0.0661715 + 0.0722564i
\(386\) −5.16534 11.3105i −0.262909 0.575690i
\(387\) 2.38844 + 1.78796i 0.121411 + 0.0908872i
\(388\) 3.65327 + 0.794720i 0.185467 + 0.0403458i
\(389\) −6.45123 + 7.44512i −0.327090 + 0.377483i −0.895347 0.445369i \(-0.853073\pi\)
0.568257 + 0.822851i \(0.307618\pi\)
\(390\) −9.21009 7.54781i −0.466371 0.382198i
\(391\) 5.67434 1.82739i 0.286964 0.0924150i
\(392\) 2.06441 + 2.06441i 0.104269 + 0.104269i
\(393\) 0.517263 + 7.23228i 0.0260925 + 0.364820i
\(394\) −7.59588 11.8194i −0.382675 0.595454i
\(395\) 27.3064 6.73069i 1.37393 0.338658i
\(396\) −0.387154 + 0.176807i −0.0194552 + 0.00888489i
\(397\) 17.5490 13.1370i 0.880760 0.659329i −0.0600749 0.998194i \(-0.519134\pi\)
0.940835 + 0.338865i \(0.110043\pi\)
\(398\) 11.4986 + 6.27869i 0.576371 + 0.314722i
\(399\) 0.535420 0.833130i 0.0268045 0.0417087i
\(400\) 1.14309 4.86758i 0.0571546 0.243379i
\(401\) 3.95538 13.4708i 0.197522 0.672700i −0.799846 0.600205i \(-0.795086\pi\)
0.997369 0.0724948i \(-0.0230961\pi\)
\(402\) 6.42827 + 0.459759i 0.320613 + 0.0229307i
\(403\) −6.70113 0.479274i −0.333807 0.0238744i
\(404\) −0.842427 + 2.86904i −0.0419123 + 0.142740i
\(405\) 2.11576 + 0.723585i 0.105133 + 0.0359552i
\(406\) 0.269687 0.419641i 0.0133843 0.0208264i
\(407\) −0.627634 0.342714i −0.0311107 0.0169877i
\(408\) −0.995091 + 0.744916i −0.0492644 + 0.0368788i
\(409\) 15.1472 6.91749i 0.748980 0.342048i −0.00408695 0.999992i \(-0.501301\pi\)
0.753067 + 0.657944i \(0.228574\pi\)
\(410\) −0.687291 0.415474i −0.0339429 0.0205188i
\(411\) 11.1965 + 17.4222i 0.552285 + 0.859372i
\(412\) 0.711413 + 9.94685i 0.0350488 + 0.490046i
\(413\) −14.5749 14.5749i −0.717186 0.717186i
\(414\) 3.04547 3.70474i 0.149677 0.182078i
\(415\) −12.5003 + 15.2532i −0.613614 + 0.748753i
\(416\) 3.48734 4.02461i 0.170981 0.197323i
\(417\) 2.92319 + 0.635901i 0.143149 + 0.0311402i
\(418\) −0.167044 0.125048i −0.00817041 0.00611629i
\(419\) 7.41032 + 16.2263i 0.362018 + 0.792709i 0.999748 + 0.0224487i \(0.00714625\pi\)
−0.637730 + 0.770260i \(0.720126\pi\)
\(420\) 4.51254 + 0.198360i 0.220190 + 0.00967899i
\(421\) 3.09041 + 10.5250i 0.150617 + 0.512956i 0.999887 0.0150030i \(-0.00477579\pi\)
−0.849270 + 0.527959i \(0.822958\pi\)
\(422\) 3.65882 + 16.8193i 0.178108 + 0.818751i
\(423\) 0.254364 + 0.681977i 0.0123676 + 0.0331589i
\(424\) −12.5572 3.68712i −0.609830 0.179062i
\(425\) −6.16558 + 0.783137i −0.299075 + 0.0379877i
\(426\) −6.34548 7.32307i −0.307439 0.354804i
\(427\) −12.8725 23.5742i −0.622943 1.14083i
\(428\) −5.37903 + 2.00627i −0.260005 + 0.0969769i
\(429\) −1.90673 1.22538i −0.0920580 0.0591621i
\(430\) −6.18434 + 2.50222i −0.298236 + 0.120668i
\(431\) −8.33097 1.19781i −0.401289 0.0576966i −0.0612840 0.998120i \(-0.519520\pi\)
−0.340005 + 0.940424i \(0.610429\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) −8.84854 + 11.8203i −0.425234 + 0.568046i −0.961080 0.276270i \(-0.910902\pi\)
0.535846 + 0.844316i \(0.319993\pi\)
\(434\) 2.14384 1.37776i 0.102908 0.0661348i
\(435\) 0.0935661 + 0.544195i 0.00448615 + 0.0260921i
\(436\) 3.19042i 0.152793i
\(437\) 2.30969 + 0.439991i 0.110488 + 0.0210476i
\(438\) 4.70214 4.70214i 0.224677 0.224677i
\(439\) −30.5157 26.4420i −1.45644 1.26201i −0.903363 0.428876i \(-0.858910\pi\)
−0.553073 0.833133i \(-0.686545\pi\)
\(440\) 0.109516 0.945383i 0.00522098 0.0450694i
\(441\) −0.415491 2.88980i −0.0197853 0.137610i
\(442\) −6.20214 2.31328i −0.295006 0.110031i
\(443\) −9.90121 13.2265i −0.470421 0.628409i 0.501092 0.865394i \(-0.332932\pi\)
−0.971513 + 0.236985i \(0.923841\pi\)
\(444\) −1.61211 + 0.473358i −0.0765074 + 0.0224646i
\(445\) 15.3812 30.1062i 0.729138 1.42717i
\(446\) 8.09957 17.7356i 0.383526 0.839804i
\(447\) −4.02553 + 2.19811i −0.190401 + 0.103967i
\(448\) −0.144107 + 2.01487i −0.00680839 + 0.0951938i
\(449\) 14.8752 12.8895i 0.702005 0.608291i −0.228944 0.973440i \(-0.573527\pi\)
0.930949 + 0.365149i \(0.118982\pi\)
\(450\) −3.83212 + 3.21167i −0.180648 + 0.151400i
\(451\) −0.139051 0.0635024i −0.00654765 0.00299021i
\(452\) −10.8189 + 2.35352i −0.508880 + 0.110700i
\(453\) −7.67089 + 14.0482i −0.360410 + 0.660041i
\(454\) 0.711478 4.94844i 0.0333913 0.232242i
\(455\) 12.1034 + 20.7870i 0.567414 + 0.974512i
\(456\) −0.485274 + 0.0697719i −0.0227251 + 0.00326737i
\(457\) 2.01070 9.24302i 0.0940564 0.432370i −0.905904 0.423483i \(-0.860807\pi\)
0.999961 0.00888741i \(-0.00282899\pi\)
\(458\) 6.17312 0.441510i 0.288451 0.0206304i
\(459\) 1.24302 0.0580194
\(460\) 3.56641 + 10.1134i 0.166285 + 0.471539i
\(461\) 10.4710 0.487682 0.243841 0.969815i \(-0.421592\pi\)
0.243841 + 0.969815i \(0.421592\pi\)
\(462\) 0.857561 0.0613340i 0.0398974 0.00285352i
\(463\) 8.26699 38.0027i 0.384200 1.76614i −0.226238 0.974072i \(-0.572643\pi\)
0.610437 0.792065i \(-0.290994\pi\)
\(464\) −0.244429 + 0.0351436i −0.0113473 + 0.00163150i
\(465\) −0.720109 + 2.72749i −0.0333942 + 0.126484i
\(466\) 2.38466 16.5857i 0.110467 0.768316i
\(467\) 15.0346 27.5338i 0.695719 1.27411i −0.255862 0.966713i \(-0.582359\pi\)
0.951580 0.307400i \(-0.0994590\pi\)
\(468\) −5.20362 + 1.13198i −0.240537 + 0.0523257i
\(469\) −11.8420 5.40804i −0.546811 0.249720i
\(470\) −1.59927 0.302151i −0.0737690 0.0139372i
\(471\) −6.66529 + 5.77551i −0.307120 + 0.266121i
\(472\) −0.727938 + 10.1779i −0.0335061 + 0.468476i
\(473\) −1.11451 + 0.608568i −0.0512451 + 0.0279820i
\(474\) 5.22480 11.4407i 0.239983 0.525489i
\(475\) −2.28236 0.894334i −0.104722 0.0410348i
\(476\) 2.40922 0.707411i 0.110426 0.0324241i
\(477\) 7.84292 + 10.4769i 0.359103 + 0.479705i
\(478\) 20.8038 + 7.75942i 0.951545 + 0.354908i
\(479\) 3.20483 + 22.2901i 0.146432 + 1.01846i 0.921998 + 0.387194i \(0.126555\pi\)
−0.775566 + 0.631266i \(0.782535\pi\)
\(480\) −1.38869 1.75258i −0.0633846 0.0799941i
\(481\) −6.76203 5.85933i −0.308322 0.267162i
\(482\) 5.07753 5.07753i 0.231275 0.231275i
\(483\) −8.37930 + 4.86192i −0.381271 + 0.221225i
\(484\) 10.8189i 0.491766i
\(485\) 8.23912 1.41659i 0.374119 0.0643242i
\(486\) 0.841254 0.540641i 0.0381600 0.0245240i
\(487\) −14.9638 + 19.9893i −0.678076 + 0.905803i −0.999149 0.0412514i \(-0.986866\pi\)
0.321073 + 0.947054i \(0.395956\pi\)
\(488\) −4.64674 + 12.4584i −0.210348 + 0.563965i
\(489\) −0.509571 0.0732652i −0.0230436 0.00331317i
\(490\) 6.01055 + 2.54780i 0.271529 + 0.115098i
\(491\) 2.89265 + 1.85900i 0.130544 + 0.0838953i 0.604283 0.796770i \(-0.293460\pi\)
−0.473739 + 0.880665i \(0.657096\pi\)
\(492\) −0.336517 + 0.125514i −0.0151714 + 0.00565862i
\(493\) 0.147108 + 0.269408i 0.00662541 + 0.0121335i
\(494\) −1.70972 1.97312i −0.0769240 0.0887750i
\(495\) −0.654219 + 0.691188i −0.0294050 + 0.0310666i
\(496\) −1.21046 0.355425i −0.0543515 0.0159590i
\(497\) 6.84028 + 18.3395i 0.306828 + 0.822638i
\(498\) 1.87472 + 8.61795i 0.0840082 + 0.386180i
\(499\) −7.65659 26.0759i −0.342756 1.16732i −0.932934 0.360047i \(-0.882761\pi\)
0.590178 0.807273i \(-0.299057\pi\)
\(500\) −1.71289 11.0483i −0.0766029 0.494097i
\(501\) 5.46224 + 11.9606i 0.244035 + 0.534362i
\(502\) −21.1149 15.8064i −0.942405 0.705475i
\(503\) −1.65481 0.359981i −0.0737842 0.0160508i 0.175522 0.984476i \(-0.443839\pi\)
−0.249306 + 0.968425i \(0.580202\pi\)
\(504\) 1.32283 1.52663i 0.0589236 0.0680015i
\(505\) 0.659992 + 6.65356i 0.0293693 + 0.296080i
\(506\) 0.895841 + 1.83409i 0.0398250 + 0.0815353i
\(507\) −10.8605 10.8605i −0.482331 0.482331i
\(508\) −0.00850050 0.118852i −0.000377149 0.00527323i
\(509\) −13.3412 20.7593i −0.591339 0.920141i −0.999972 0.00744261i \(-0.997631\pi\)
0.408633 0.912699i \(-0.366005\pi\)
\(510\) −1.43791 + 2.37864i −0.0636718 + 0.105328i
\(511\) −12.2189 + 5.58018i −0.540532 + 0.246853i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) 0.430295 + 0.234959i 0.0189980 + 0.0103737i
\(514\) 14.5074 22.5740i 0.639894 0.995694i
\(515\) 9.81683 + 20.0215i 0.432581 + 0.882252i
\(516\) −0.840557 + 2.86267i −0.0370035 + 0.126022i
\(517\) −0.309003 0.0221004i −0.0135900 0.000971973i
\(518\) 3.38533 + 0.242123i 0.148743 + 0.0106383i
\(519\) −1.47594 + 5.02659i −0.0647866 + 0.220643i
\(520\) 3.85332 11.2671i 0.168979 0.494094i
\(521\) −23.4331 + 36.4627i −1.02662 + 1.59746i −0.249231 + 0.968444i \(0.580178\pi\)
−0.777394 + 0.629014i \(0.783459\pi\)
\(522\) 0.216736 + 0.118347i 0.00948628 + 0.00517990i
\(523\) −16.8304 + 12.5991i −0.735942 + 0.550919i −0.900189 0.435500i \(-0.856571\pi\)
0.164247 + 0.986419i \(0.447481\pi\)
\(524\) −6.59552 + 3.01207i −0.288127 + 0.131583i
\(525\) 9.52009 3.37340i 0.415491 0.147227i
\(526\) −11.2629 17.5254i −0.491085 0.764143i
\(527\) 0.111871 + 1.56416i 0.00487318 + 0.0681360i
\(528\) −0.300956 0.300956i −0.0130974 0.0130974i
\(529\) −18.1404 14.1395i −0.788713 0.614762i
\(530\) −29.1212 + 2.88864i −1.26494 + 0.125475i
\(531\) 6.68214 7.71160i 0.289980 0.334655i
\(532\) 0.967712 + 0.210513i 0.0419556 + 0.00912689i
\(533\) −1.53116 1.14621i −0.0663218 0.0496479i
\(534\) −6.28077 13.7530i −0.271796 0.595149i
\(535\) −9.46719 + 8.66992i −0.409302 + 0.374834i
\(536\) 1.81568 + 6.18364i 0.0784254 + 0.267092i
\(537\) −4.72264 21.7096i −0.203797 0.936839i
\(538\) −5.01360 13.4420i −0.216152 0.579525i
\(539\) 1.19226 + 0.350079i 0.0513543 + 0.0150790i
\(540\) 0.0614183 + 2.23522i 0.00264302 + 0.0961887i
\(541\) 14.7021 + 16.9671i 0.632091 + 0.729471i 0.977956 0.208813i \(-0.0669600\pi\)
−0.345865 + 0.938284i \(0.612415\pi\)
\(542\) 5.67954 + 10.4013i 0.243957 + 0.446774i
\(543\) 16.3172 6.08601i 0.700239 0.261176i
\(544\) −1.04570 0.672029i −0.0448339 0.0288130i
\(545\) −2.67573 6.61319i −0.114616 0.283278i
\(546\) 10.6478 + 1.53092i 0.455682 + 0.0655172i
\(547\) 9.01780 24.1777i 0.385573 1.03376i −0.588692 0.808357i \(-0.700357\pi\)
0.974265 0.225405i \(-0.0723704\pi\)
\(548\) −12.4109 + 16.5790i −0.530167 + 0.708221i
\(549\) 11.1859 7.18877i 0.477404 0.306809i
\(550\) −0.565863 2.05147i −0.0241285 0.0874748i
\(551\) 0.121067i 0.00515763i
\(552\) 4.53544 + 1.55878i 0.193041 + 0.0663462i
\(553\) −17.9650 + 17.9650i −0.763951 + 0.763951i
\(554\) 19.1346 + 16.5802i 0.812952 + 0.704427i
\(555\) −2.94464 + 2.33323i −0.124993 + 0.0990402i
\(556\) 0.425743 + 2.96110i 0.0180555 + 0.125579i
\(557\) −26.3469 9.82690i −1.11636 0.416379i −0.277496 0.960727i \(-0.589505\pi\)
−0.838860 + 0.544348i \(0.816777\pi\)
\(558\) 0.756029 + 1.00994i 0.0320053 + 0.0427540i
\(559\) −15.2447 + 4.47624i −0.644780 + 0.189325i
\(560\) 1.39112 + 4.29735i 0.0587855 + 0.181596i
\(561\) −0.219775 + 0.481241i −0.00927892 + 0.0203180i
\(562\) 14.5292 7.93355i 0.612878 0.334657i
\(563\) −2.98414 + 41.7238i −0.125767 + 1.75845i 0.408155 + 0.912913i \(0.366172\pi\)
−0.533921 + 0.845534i \(0.679282\pi\)
\(564\) −0.550087 + 0.476653i −0.0231628 + 0.0200707i
\(565\) −20.4520 + 13.9520i −0.860421 + 0.586966i
\(566\) −17.8122 8.13458i −0.748704 0.341922i
\(567\) −1.97386 + 0.429386i −0.0828941 + 0.0180325i
\(568\) 4.64383 8.50454i 0.194851 0.356843i
\(569\) 3.59387 24.9959i 0.150663 1.04788i −0.764449 0.644684i \(-0.776989\pi\)
0.915112 0.403199i \(-0.132102\pi\)
\(570\) −0.947375 + 0.551614i −0.0396812 + 0.0231046i
\(571\) 29.0804 4.18113i 1.21698 0.174975i 0.496241 0.868185i \(-0.334713\pi\)
0.720736 + 0.693210i \(0.243804\pi\)
\(572\) 0.481788 2.21474i 0.0201446 0.0926030i
\(573\) 2.22650 0.159242i 0.0930133 0.00665244i
\(574\) 0.725515 0.0302824
\(575\) 15.8744 + 17.9723i 0.662009 + 0.749496i
\(576\) −1.00000 −0.0416667
\(577\) 20.5040 1.46647i 0.853591 0.0610500i 0.362317 0.932055i \(-0.381986\pi\)
0.491274 + 0.871005i \(0.336531\pi\)
\(578\) 3.28517 15.1017i 0.136645 0.628148i
\(579\) −12.3076 + 1.76957i −0.511487 + 0.0735407i
\(580\) −0.477185 + 0.277843i −0.0198140 + 0.0115368i
\(581\) 2.53542 17.6342i 0.105187 0.731591i
\(582\) 1.79177 3.28139i 0.0742714 0.136018i
\(583\) −5.44286 + 1.18402i −0.225420 + 0.0490372i
\(584\) 6.04889 + 2.76244i 0.250305 + 0.114310i
\(585\) −9.83685 + 6.71055i −0.406704 + 0.277447i
\(586\) 1.55590 1.34819i 0.0642736 0.0556934i
\(587\) −1.91063 + 26.7141i −0.0788602 + 1.10261i 0.791818 + 0.610757i \(0.209135\pi\)
−0.870678 + 0.491853i \(0.836320\pi\)
\(588\) 2.56240 1.39918i 0.105672 0.0577011i
\(589\) −0.256935 + 0.562609i −0.0105868 + 0.0231819i
\(590\) 7.02708 + 21.7076i 0.289300 + 0.893686i
\(591\) −13.4807 + 3.95828i −0.554520 + 0.162822i
\(592\) −1.00689 1.34505i −0.0413828 0.0552810i
\(593\) 27.5274 + 10.2672i 1.13042 + 0.421623i 0.843926 0.536460i \(-0.180239\pi\)
0.286490 + 0.958083i \(0.407512\pi\)
\(594\) 0.0605714 + 0.421283i 0.00248528 + 0.0172855i
\(595\) 4.40061 3.48690i 0.180408 0.142949i
\(596\) −3.46629 3.00356i −0.141985 0.123031i
\(597\) 9.26387 9.26387i 0.379145 0.379145i
\(598\) 6.07465 + 24.8064i 0.248411 + 1.01441i
\(599\) 17.5421i 0.716750i 0.933578 + 0.358375i \(0.116669\pi\)
−0.933578 + 0.358375i \(0.883331\pi\)
\(600\) −4.34836 2.46814i −0.177521 0.100762i
\(601\) 19.7350 12.6829i 0.805009 0.517348i −0.0722380 0.997387i \(-0.523014\pi\)
0.877247 + 0.480040i \(0.159378\pi\)
\(602\) 3.61172 4.82469i 0.147203 0.196640i
\(603\) 2.25219 6.03835i 0.0917162 0.245901i
\(604\) −15.8431 2.27790i −0.644648 0.0926864i
\(605\) 9.07352 + 22.4256i 0.368891 + 0.911732i
\(606\) 2.51549 + 1.61661i 0.102185 + 0.0656701i
\(607\) −23.4469 + 8.74523i −0.951679 + 0.354958i −0.776882 0.629646i \(-0.783200\pi\)
−0.174797 + 0.984604i \(0.555927\pi\)
\(608\) −0.234959 0.430295i −0.00952884 0.0174508i
\(609\) −0.326663 0.376989i −0.0132371 0.0152764i
\(610\) 0.816664 + 29.7212i 0.0330658 + 1.20338i
\(611\) −3.71913 1.09203i −0.150460 0.0441790i
\(612\) 0.434392 + 1.16465i 0.0175593 + 0.0470782i
\(613\) 2.68987 + 12.3651i 0.108643 + 0.499422i 0.999023 + 0.0442041i \(0.0140752\pi\)
−0.890380 + 0.455218i \(0.849561\pi\)
\(614\) −5.80134 19.7575i −0.234123 0.797350i
\(615\) −0.592276 + 0.542399i −0.0238829 + 0.0218716i
\(616\) 0.357154 + 0.782058i 0.0143901 + 0.0315100i
\(617\) 25.7437 + 19.2715i 1.03640 + 0.775842i 0.974985 0.222270i \(-0.0713467\pi\)
0.0614183 + 0.998112i \(0.480438\pi\)
\(618\) 9.74436 + 2.11976i 0.391976 + 0.0852691i
\(619\) 11.3318 13.0775i 0.455462 0.525631i −0.480849 0.876803i \(-0.659671\pi\)
0.936311 + 0.351173i \(0.114217\pi\)
\(620\) −2.80717 + 0.278454i −0.112739 + 0.0111830i
\(621\) −2.69666 3.96586i −0.108213 0.159144i
\(622\) −10.4142 10.4142i −0.417571 0.417571i
\(623\) 2.17879 + 30.4634i 0.0872912 + 1.22049i
\(624\) −2.87909 4.47995i −0.115256 0.179341i
\(625\) −12.8165 21.4648i −0.512661 0.858591i
\(626\) −6.46166 + 2.95094i −0.258260 + 0.117943i
\(627\) −0.167044 + 0.125048i −0.00667111 + 0.00499393i
\(628\) −7.74064 4.22671i −0.308885 0.168664i
\(629\) −1.12912 + 1.75695i −0.0450211 + 0.0700542i
\(630\) 1.46166 4.27387i 0.0582338 0.170275i
\(631\) −8.05579 + 27.4355i −0.320696 + 1.09219i 0.628580 + 0.777745i \(0.283636\pi\)
−0.949276 + 0.314445i \(0.898182\pi\)
\(632\) 12.5453 + 0.897254i 0.499023 + 0.0356909i
\(633\) 17.1688 + 1.22794i 0.682399 + 0.0488061i
\(634\) −6.54598 + 22.2935i −0.259974 + 0.885390i
\(635\) −0.117299 0.239232i −0.00465486 0.00949362i
\(636\) −7.07553 + 11.0097i −0.280563 + 0.436564i
\(637\) 13.6456 + 7.45107i 0.540659 + 0.295222i
\(638\) −0.0841389 + 0.0629856i −0.00333109 + 0.00249362i
\(639\) −8.81416 + 4.02529i −0.348683 + 0.159238i
\(640\) 1.15679 1.91360i 0.0457259 0.0756415i
\(641\) 11.4862 + 17.8728i 0.453676 + 0.705933i 0.990462 0.137785i \(-0.0439982\pi\)
−0.536786 + 0.843718i \(0.680362\pi\)
\(642\) 0.409558 + 5.72637i 0.0161640 + 0.226002i
\(643\) −25.3187 25.3187i −0.998471 0.998471i 0.00152801 0.999999i \(-0.499514\pi\)
−0.999999 + 0.00152801i \(0.999514\pi\)
\(644\) −7.48364 6.15192i −0.294897 0.242420i
\(645\) 0.658527 + 6.63879i 0.0259295 + 0.261402i
\(646\) −0.399079 + 0.460562i −0.0157015 + 0.0181206i
\(647\) −28.0497 6.10184i −1.10275 0.239888i −0.375882 0.926668i \(-0.622660\pi\)
−0.726866 + 0.686779i \(0.759024\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) 1.80412 + 3.95048i 0.0708180 + 0.155070i
\(650\) −1.46216 26.5864i −0.0573506 1.04281i
\(651\) −0.717965 2.44516i −0.0281392 0.0958335i
\(652\) −0.109431 0.503046i −0.00428564 0.0197008i
\(653\) −4.57552 12.2674i −0.179054 0.480062i 0.816155 0.577833i \(-0.196101\pi\)
−0.995209 + 0.0977710i \(0.968829\pi\)
\(654\) −3.06118 0.898845i −0.119702 0.0351476i
\(655\) −11.1452 + 11.7750i −0.435480 + 0.460088i
\(656\) −0.235201 0.271437i −0.00918307 0.0105978i
\(657\) −3.18692 5.83641i −0.124334 0.227700i
\(658\) 1.37761 0.513821i 0.0537047 0.0200308i
\(659\) 29.5561 + 18.9946i 1.15134 + 0.739924i 0.969906 0.243479i \(-0.0782886\pi\)
0.181438 + 0.983402i \(0.441925\pi\)
\(660\) −0.876234 0.371425i −0.0341074 0.0144577i
\(661\) −38.6464 5.55651i −1.50317 0.216123i −0.658977 0.752163i \(-0.729011\pi\)
−0.844193 + 0.536040i \(0.819920\pi\)
\(662\) 5.35747 14.3639i 0.208224 0.558271i
\(663\) −3.96692 + 5.29918i −0.154062 + 0.205803i
\(664\) −7.41944 + 4.76818i −0.287930 + 0.185041i
\(665\) 2.18245 0.375240i 0.0846319 0.0145512i
\(666\) 1.68017i 0.0651053i
\(667\) 0.540403 1.05381i 0.0209245 0.0408037i
\(668\) −9.29766 + 9.29766i −0.359737 + 0.359737i
\(669\) −14.7353 12.7682i −0.569698 0.493646i
\(670\) 8.94967 + 11.2949i 0.345756 + 0.436358i
\(671\) 0.805403 + 5.60170i 0.0310922 + 0.216251i
\(672\) 1.89266 + 0.705924i 0.0730108 + 0.0272316i
\(673\) 12.8567 + 17.1745i 0.495587 + 0.662027i 0.976694 0.214635i \(-0.0688561\pi\)
−0.481107 + 0.876662i \(0.659765\pi\)
\(674\) 19.4559 5.71276i 0.749413 0.220047i
\(675\) 2.00194 + 4.58173i 0.0770547 + 0.176351i
\(676\) 6.38038 13.9711i 0.245399 0.537349i
\(677\) −19.5366 + 10.6678i −0.750853 + 0.409997i −0.808619 0.588333i \(-0.799784\pi\)
0.0577652 + 0.998330i \(0.481603\pi\)
\(678\) −0.789865 + 11.0438i −0.0303346 + 0.424133i
\(679\) −5.70763 + 4.94569i −0.219039 + 0.189798i
\(680\) −2.73117 0.515999i −0.104736 0.0197877i
\(681\) −4.54754 2.07679i −0.174262 0.0795829i
\(682\) −0.524672 + 0.114135i −0.0200907 + 0.00437047i
\(683\) 1.58032 2.89414i 0.0604693 0.110741i −0.845696 0.533665i \(-0.820814\pi\)
0.906165 + 0.422924i \(0.138996\pi\)
\(684\) −0.0697719 + 0.485274i −0.00266780 + 0.0185549i
\(685\) −11.8212 + 44.7742i −0.451666 + 1.71073i
\(686\) −19.8337 + 2.85165i −0.757253 + 0.108877i
\(687\) 1.31554 6.04746i 0.0501911 0.230725i
\(688\) −2.97593 + 0.212842i −0.113456 + 0.00811454i
\(689\) −69.6941 −2.65513
\(690\) 10.7085 0.572674i 0.407666 0.0218013i
\(691\) −6.70888 −0.255218 −0.127609 0.991825i \(-0.540730\pi\)
−0.127609 + 0.991825i \(0.540730\pi\)
\(692\) −5.22546 + 0.373732i −0.198642 + 0.0142072i
\(693\) 0.182753 0.840104i 0.00694223 0.0319129i
\(694\) −8.98781 + 1.29225i −0.341173 + 0.0490532i
\(695\) 3.36590 + 5.78080i 0.127676 + 0.219278i
\(696\) −0.0351436 + 0.244429i −0.00133211 + 0.00926505i
\(697\) −0.213959 + 0.391837i −0.00810429 + 0.0148419i
\(698\) −22.1371 + 4.81563i −0.837901 + 0.182274i
\(699\) −15.2420 6.96078i −0.576505 0.263281i
\(700\) 6.48764 + 7.74097i 0.245210 + 0.292581i
\(701\) 14.8858 12.8986i 0.562228 0.487173i −0.326758 0.945108i \(-0.605956\pi\)
0.888986 + 0.457935i \(0.151411\pi\)
\(702\) −0.379904 + 5.31175i −0.0143386 + 0.200479i
\(703\) −0.722968 + 0.394771i −0.0272673 + 0.0148891i
\(704\) 0.176807 0.387154i 0.00666367 0.0145914i
\(705\) −0.740479 + 1.44937i −0.0278880 + 0.0545863i
\(706\) 9.16810 2.69200i 0.345046 0.101315i
\(707\) −3.61975 4.83543i −0.136135 0.181855i
\(708\) 9.56055 + 3.56590i 0.359307 + 0.134015i
\(709\) 5.02263 + 34.9331i 0.188629 + 1.31194i 0.835563 + 0.549395i \(0.185142\pi\)
−0.646934 + 0.762546i \(0.723949\pi\)
\(710\) 2.49331 21.5231i 0.0935722 0.807749i
\(711\) −9.50529 8.23638i −0.356476 0.308888i
\(712\) 10.6909 10.6909i 0.400660 0.400660i
\(713\) 4.74775 3.75027i 0.177805 0.140449i
\(714\) 2.51093i 0.0939692i
\(715\) −0.858789 4.99485i −0.0321169 0.186797i
\(716\) 18.6904 12.0116i 0.698494 0.448895i
\(717\) 13.3062 17.7750i 0.496930 0.663821i
\(718\) −2.67624 + 7.17528i −0.0998764 + 0.267779i
\(719\) 3.78306 + 0.543922i 0.141084 + 0.0202849i 0.212495 0.977162i \(-0.431841\pi\)
−0.0714108 + 0.997447i \(0.522750\pi\)
\(720\) −2.07283 + 0.838677i −0.0772498 + 0.0312556i
\(721\) −16.9463 10.8908i −0.631115 0.405593i
\(722\) 17.5768 6.55582i 0.654142 0.243982i
\(723\) −3.44135 6.30236i −0.127985 0.234387i
\(724\) 11.4046 + 13.1616i 0.423848 + 0.489146i
\(725\) −0.756103 + 0.976126i −0.0280809 + 0.0362524i
\(726\) 10.3806 + 3.04802i 0.385261 + 0.113123i
\(727\) 7.31117 + 19.6020i 0.271156 + 0.726998i 0.999142 + 0.0414060i \(0.0131837\pi\)
−0.727986 + 0.685592i \(0.759544\pi\)
\(728\) 2.28662 + 10.5114i 0.0847477 + 0.389579i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) 14.8551 + 0.652995i 0.549813 + 0.0241684i
\(731\) 1.54061 + 3.37346i 0.0569814 + 0.124772i
\(732\) 10.6446 + 7.96844i 0.393436 + 0.294522i
\(733\) 47.8187 + 10.4023i 1.76622 + 0.384219i 0.974096 0.226135i \(-0.0726091\pi\)
0.792129 + 0.610354i \(0.208973\pi\)
\(734\) −5.07726 + 5.85947i −0.187405 + 0.216277i
\(735\) 4.13797 5.04928i 0.152631 0.186246i
\(736\) 0.124472 + 4.79422i 0.00458808 + 0.176717i
\(737\) 1.93957 + 1.93957i 0.0714449 + 0.0714449i
\(738\) 0.0256223 + 0.358247i 0.000943171 + 0.0131873i
\(739\) −19.3799 30.1557i −0.712900 1.10929i −0.988964 0.148155i \(-0.952666\pi\)
0.276064 0.961139i \(-0.410970\pi\)
\(740\) −3.21517 1.94360i −0.118192 0.0714480i
\(741\) −2.37488 + 1.08457i −0.0872435 + 0.0398428i
\(742\) 21.1636 15.8429i 0.776940 0.581610i
\(743\) 16.7269 + 9.13357i 0.613650 + 0.335078i 0.755835 0.654762i \(-0.227231\pi\)
−0.142186 + 0.989840i \(0.545413\pi\)
\(744\) −0.682055 + 1.06130i −0.0250053 + 0.0389091i
\(745\) −9.70405 3.31877i −0.355529 0.121590i
\(746\) 5.39856 18.3858i 0.197655 0.673152i
\(747\) 8.79703 + 0.629176i 0.321867 + 0.0230204i
\(748\) −0.527702 0.0377420i −0.0192947 0.00137998i
\(749\) 3.26723 11.1272i 0.119382 0.406578i
\(750\) −11.0834 1.46917i −0.404708 0.0536465i
\(751\) 10.2355 15.9267i 0.373497 0.581173i −0.602724 0.797950i \(-0.705918\pi\)
0.976221 + 0.216777i \(0.0695543\pi\)
\(752\) −0.638836 0.348831i −0.0232959 0.0127205i
\(753\) −21.1149 + 15.8064i −0.769470 + 0.576018i
\(754\) −1.19621 + 0.546290i −0.0435634 + 0.0198947i
\(755\) −34.7506 + 8.56558i −1.26470 + 0.311733i
\(756\) −1.09210 1.69935i −0.0397195 0.0618047i
\(757\) 1.81556 + 25.3848i 0.0659876 + 0.922627i 0.917358 + 0.398062i \(0.130317\pi\)
−0.851371 + 0.524564i \(0.824228\pi\)
\(758\) 9.44518 + 9.44518i 0.343064 + 0.343064i
\(759\) 2.01218 0.342830i 0.0730377 0.0124440i
\(760\) −0.847908 0.694873i −0.0307568 0.0252057i
\(761\) −6.37380 + 7.35576i −0.231050 + 0.266646i −0.859422 0.511267i \(-0.829176\pi\)
0.628372 + 0.777913i \(0.283722\pi\)
\(762\) −0.116433 0.0253284i −0.00421792 0.000917553i
\(763\) 5.15925 + 3.86217i 0.186778 + 0.139820i
\(764\) 0.927283 + 2.03047i 0.0335479 + 0.0734597i
\(765\) 1.87719 + 2.04981i 0.0678698 + 0.0741109i
\(766\) −0.248224 0.845374i −0.00896871 0.0305446i
\(767\) 11.5506 + 53.0973i 0.417068 + 1.91723i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) −26.1823 7.68781i −0.944157 0.277229i −0.226805 0.973940i \(-0.572828\pi\)
−0.717352 + 0.696711i \(0.754646\pi\)
\(770\) 1.39621 + 1.32154i 0.0503160 + 0.0476248i
\(771\) −17.5723 20.2796i −0.632853 0.730351i
\(772\) −5.95906 10.9132i −0.214471 0.392775i