Properties

Label 930.2.br.a.11.7
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.821805 + 1.52468i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.25273 - 1.19610i) q^{6} +(0.122441 + 1.16495i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-1.64927 + 2.50597i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.821805 + 1.52468i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.25273 - 1.19610i) q^{6} +(0.122441 + 1.16495i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-1.64927 + 2.50597i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(0.519826 + 0.231441i) q^{11} +(1.56104 + 0.750444i) q^{12} +(0.447115 + 2.10351i) q^{13} +(-0.476438 - 1.07010i) q^{14} +(1.47404 + 0.909505i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-5.00147 + 2.22680i) q^{17} +(0.794163 - 2.89298i) q^{18} +(3.58590 + 0.762207i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-1.67555 + 1.14404i) q^{21} +(-0.565903 - 0.0594788i) q^{22} +(-5.52033 - 4.01076i) q^{23} +(-1.71653 - 0.231328i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-1.07525 - 1.86239i) q^{26} +(-5.17618 - 0.455184i) q^{27} +(0.783797 + 0.870495i) q^{28} +(3.19081 + 9.82031i) q^{29} +(-1.68295 - 0.409487i) q^{30} +(4.19859 + 3.65676i) q^{31} +1.00000i q^{32} +(0.0743226 + 0.982766i) q^{33} +(4.06856 - 3.66335i) q^{34} +(0.688512 + 0.947655i) q^{35} +(0.138685 + 2.99679i) q^{36} +(-1.33670 - 0.771745i) q^{37} +(-3.64593 + 0.383203i) q^{38} +(-2.83973 + 2.41038i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(1.22627 + 1.10414i) q^{41} +(1.24001 - 1.60582i) q^{42} +(-1.07851 + 5.07399i) q^{43} +(0.556586 - 0.118306i) q^{44} +(-0.175325 + 2.99487i) q^{45} +(6.48954 + 2.10858i) q^{46} +(0.408277 + 0.132657i) q^{47} +(1.70400 - 0.310432i) q^{48} +(5.50492 - 1.17011i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(-7.50538 - 5.79563i) q^{51} +(1.59814 + 1.43897i) q^{52} +(0.499825 - 4.75551i) q^{53} +(5.06350 - 1.16662i) q^{54} +(0.565903 - 0.0594788i) q^{55} +(-1.01443 - 0.585683i) q^{56} +(1.78480 + 6.09373i) q^{57} +(-6.06929 - 8.35366i) q^{58} +(-2.81688 + 2.53633i) q^{59} +(1.72712 - 0.130615i) q^{60} -5.66315i q^{61} +(-5.12309 - 2.18035i) q^{62} +(-3.12127 - 1.61448i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(1.43897 + 1.59814i) q^{65} +(-0.374376 - 0.911699i) q^{66} +(6.10033 + 10.5661i) q^{67} +(-2.73740 + 4.74131i) q^{68} +(1.57846 - 11.7128i) q^{69} +(-0.947655 - 0.688512i) q^{70} +(-10.1259 - 1.06427i) q^{71} +(-1.05796 - 2.80726i) q^{72} +(1.02323 - 2.29822i) q^{73} +(1.50976 + 0.320909i) q^{74} +(1.73131 + 0.0506337i) q^{75} +(3.34907 - 1.49110i) q^{76} +(-0.205970 + 0.633909i) q^{77} +(1.95589 - 3.16993i) q^{78} +(0.346214 + 0.777609i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-3.55980 - 8.26606i) q^{81} +(-1.50745 - 0.671159i) q^{82} +(-2.23296 + 2.47995i) q^{83} +(-0.683094 + 1.91041i) q^{84} +(-3.21800 + 4.42920i) q^{85} +(-0.542226 - 5.15893i) q^{86} +(-12.3506 + 12.9353i) q^{87} +(-0.492786 + 0.284510i) q^{88} +(-10.6012 + 7.70220i) q^{89} +(-0.758722 - 2.90247i) q^{90} +(-2.39574 + 0.778422i) q^{91} -6.82351 q^{92} +(-2.12495 + 9.40662i) q^{93} -0.429288 q^{94} +(3.48659 - 1.13286i) q^{95} +(-1.52468 + 0.821805i) q^{96} +(0.672915 - 0.488901i) q^{97} +(-4.87391 + 2.81395i) q^{98} +(-1.43732 + 0.920960i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 0.821805 + 1.52468i 0.474469 + 0.880272i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.25273 1.19610i −0.511426 0.488306i
\(7\) 0.122441 + 1.16495i 0.0462784 + 0.440310i 0.992987 + 0.118220i \(0.0377187\pi\)
−0.946709 + 0.322090i \(0.895615\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −1.64927 + 2.50597i −0.549757 + 0.835324i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 0.519826 + 0.231441i 0.156733 + 0.0697822i 0.483604 0.875287i \(-0.339327\pi\)
−0.326871 + 0.945069i \(0.605994\pi\)
\(12\) 1.56104 + 0.750444i 0.450632 + 0.216634i
\(13\) 0.447115 + 2.10351i 0.124007 + 0.583409i 0.995642 + 0.0932532i \(0.0297266\pi\)
−0.871635 + 0.490155i \(0.836940\pi\)
\(14\) −0.476438 1.07010i −0.127333 0.285995i
\(15\) 1.47404 + 0.909505i 0.380596 + 0.234833i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −5.00147 + 2.22680i −1.21304 + 0.540078i −0.910678 0.413117i \(-0.864440\pi\)
−0.302357 + 0.953195i \(0.597774\pi\)
\(18\) 0.794163 2.89298i 0.187186 0.681881i
\(19\) 3.58590 + 0.762207i 0.822663 + 0.174862i 0.599966 0.800025i \(-0.295181\pi\)
0.222697 + 0.974888i \(0.428514\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) −1.67555 + 1.14404i −0.365634 + 0.249651i
\(22\) −0.565903 0.0594788i −0.120651 0.0126809i
\(23\) −5.52033 4.01076i −1.15107 0.836300i −0.162446 0.986717i \(-0.551938\pi\)
−0.988623 + 0.150417i \(0.951938\pi\)
\(24\) −1.71653 0.231328i −0.350386 0.0472195i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −1.07525 1.86239i −0.210874 0.365245i
\(27\) −5.17618 0.455184i −0.996156 0.0876002i
\(28\) 0.783797 + 0.870495i 0.148124 + 0.164508i
\(29\) 3.19081 + 9.82031i 0.592519 + 1.82359i 0.566707 + 0.823919i \(0.308217\pi\)
0.0258119 + 0.999667i \(0.491783\pi\)
\(30\) −1.68295 0.409487i −0.307263 0.0747617i
\(31\) 4.19859 + 3.65676i 0.754088 + 0.656773i
\(32\) 1.00000i 0.176777i
\(33\) 0.0743226 + 0.982766i 0.0129379 + 0.171078i
\(34\) 4.06856 3.66335i 0.697753 0.628260i
\(35\) 0.688512 + 0.947655i 0.116380 + 0.160183i
\(36\) 0.138685 + 2.99679i 0.0231141 + 0.499465i
\(37\) −1.33670 0.771745i −0.219752 0.126874i 0.386083 0.922464i \(-0.373828\pi\)
−0.605836 + 0.795590i \(0.707161\pi\)
\(38\) −3.64593 + 0.383203i −0.591448 + 0.0621637i
\(39\) −2.83973 + 2.41038i −0.454720 + 0.385970i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 1.22627 + 1.10414i 0.191511 + 0.172437i 0.759308 0.650731i \(-0.225538\pi\)
−0.567797 + 0.823169i \(0.692204\pi\)
\(42\) 1.24001 1.60582i 0.191338 0.247784i
\(43\) −1.07851 + 5.07399i −0.164471 + 0.773777i 0.816146 + 0.577845i \(0.196106\pi\)
−0.980618 + 0.195931i \(0.937227\pi\)
\(44\) 0.556586 0.118306i 0.0839085 0.0178353i
\(45\) −0.175325 + 2.99487i −0.0261360 + 0.446449i
\(46\) 6.48954 + 2.10858i 0.956830 + 0.310893i
\(47\) 0.408277 + 0.132657i 0.0595533 + 0.0193500i 0.338642 0.940915i \(-0.390032\pi\)
−0.279089 + 0.960265i \(0.590032\pi\)
\(48\) 1.70400 0.310432i 0.245952 0.0448071i
\(49\) 5.50492 1.17011i 0.786417 0.167158i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) −7.50538 5.79563i −1.05096 0.811550i
\(52\) 1.59814 + 1.43897i 0.221621 + 0.199549i
\(53\) 0.499825 4.75551i 0.0686562 0.653220i −0.905033 0.425341i \(-0.860154\pi\)
0.973689 0.227879i \(-0.0731791\pi\)
\(54\) 5.06350 1.16662i 0.689055 0.158757i
\(55\) 0.565903 0.0594788i 0.0763064 0.00802012i
\(56\) −1.01443 0.585683i −0.135559 0.0782652i
\(57\) 1.78480 + 6.09373i 0.236402 + 0.807134i
\(58\) −6.06929 8.35366i −0.796936 1.09689i
\(59\) −2.81688 + 2.53633i −0.366727 + 0.330202i −0.831806 0.555067i \(-0.812693\pi\)
0.465079 + 0.885269i \(0.346026\pi\)
\(60\) 1.72712 0.130615i 0.222970 0.0168623i
\(61\) 5.66315i 0.725092i −0.931966 0.362546i \(-0.881908\pi\)
0.931966 0.362546i \(-0.118092\pi\)
\(62\) −5.12309 2.18035i −0.650633 0.276904i
\(63\) −3.12127 1.61448i −0.393243 0.203406i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 1.43897 + 1.59814i 0.178482 + 0.198224i
\(66\) −0.374376 0.911699i −0.0460825 0.112222i
\(67\) 6.10033 + 10.5661i 0.745274 + 1.29085i 0.950067 + 0.312047i \(0.101015\pi\)
−0.204792 + 0.978805i \(0.565652\pi\)
\(68\) −2.73740 + 4.74131i −0.331958 + 0.574968i
\(69\) 1.57846 11.7128i 0.190025 1.41005i
\(70\) −0.947655 0.688512i −0.113266 0.0822929i
\(71\) −10.1259 1.06427i −1.20172 0.126306i −0.517567 0.855643i \(-0.673162\pi\)
−0.684155 + 0.729336i \(0.739829\pi\)
\(72\) −1.05796 2.80726i −0.124681 0.330839i
\(73\) 1.02323 2.29822i 0.119760 0.268986i −0.843711 0.536798i \(-0.819634\pi\)
0.963471 + 0.267812i \(0.0863005\pi\)
\(74\) 1.50976 + 0.320909i 0.175506 + 0.0373050i
\(75\) 1.73131 + 0.0506337i 0.199915 + 0.00584668i
\(76\) 3.34907 1.49110i 0.384165 0.171041i
\(77\) −0.205970 + 0.633909i −0.0234724 + 0.0722406i
\(78\) 1.95589 3.16993i 0.221461 0.358924i
\(79\) 0.346214 + 0.777609i 0.0389521 + 0.0874878i 0.931974 0.362526i \(-0.118086\pi\)
−0.893022 + 0.450014i \(0.851419\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −3.55980 8.26606i −0.395533 0.918452i
\(82\) −1.50745 0.671159i −0.166470 0.0741171i
\(83\) −2.23296 + 2.47995i −0.245099 + 0.272210i −0.853125 0.521707i \(-0.825295\pi\)
0.608025 + 0.793918i \(0.291962\pi\)
\(84\) −0.683094 + 1.91041i −0.0745317 + 0.208443i
\(85\) −3.21800 + 4.42920i −0.349041 + 0.480414i
\(86\) −0.542226 5.15893i −0.0584697 0.556302i
\(87\) −12.3506 + 12.9353i −1.32412 + 1.38681i
\(88\) −0.492786 + 0.284510i −0.0525312 + 0.0303289i
\(89\) −10.6012 + 7.70220i −1.12372 + 0.816431i −0.984769 0.173868i \(-0.944374\pi\)
−0.138952 + 0.990299i \(0.544374\pi\)
\(90\) −0.758722 2.90247i −0.0799763 0.305947i
\(91\) −2.39574 + 0.778422i −0.251141 + 0.0816008i
\(92\) −6.82351 −0.711400
\(93\) −2.12495 + 9.40662i −0.220347 + 0.975422i
\(94\) −0.429288 −0.0442776
\(95\) 3.48659 1.13286i 0.357716 0.116229i
\(96\) −1.52468 + 0.821805i −0.155612 + 0.0838751i
\(97\) 0.672915 0.488901i 0.0683242 0.0496404i −0.553099 0.833116i \(-0.686555\pi\)
0.621423 + 0.783475i \(0.286555\pi\)
\(98\) −4.87391 + 2.81395i −0.492339 + 0.284252i
\(99\) −1.43732 + 0.920960i −0.144456 + 0.0925600i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 9.35065 12.8701i 0.930424 1.28062i −0.0292699 0.999572i \(-0.509318\pi\)
0.959694 0.281047i \(-0.0906818\pi\)
\(102\) 8.92899 + 3.19268i 0.884102 + 0.316122i
\(103\) −2.88696 + 3.20629i −0.284460 + 0.315925i −0.868393 0.495877i \(-0.834847\pi\)
0.583932 + 0.811802i \(0.301513\pi\)
\(104\) −1.96458 0.874688i −0.192643 0.0857703i
\(105\) −0.879044 + 1.82855i −0.0857860 + 0.178448i
\(106\) 0.994173 + 4.67722i 0.0965626 + 0.454291i
\(107\) 1.88572 + 4.23539i 0.182299 + 0.409450i 0.981460 0.191667i \(-0.0613893\pi\)
−0.799161 + 0.601117i \(0.794723\pi\)
\(108\) −4.45517 + 2.67423i −0.428699 + 0.257328i
\(109\) 0.311319 0.958142i 0.0298190 0.0917734i −0.935039 0.354544i \(-0.884636\pi\)
0.964858 + 0.262770i \(0.0846362\pi\)
\(110\) −0.519826 + 0.231441i −0.0495635 + 0.0220671i
\(111\) 0.0781526 2.67226i 0.00741791 0.253640i
\(112\) 1.14577 + 0.243541i 0.108265 + 0.0230124i
\(113\) 6.93779 15.5825i 0.652653 1.46588i −0.218983 0.975729i \(-0.570274\pi\)
0.871636 0.490154i \(-0.163059\pi\)
\(114\) −3.58051 5.24395i −0.335345 0.491141i
\(115\) −6.78613 0.713251i −0.632809 0.0665110i
\(116\) 8.35366 + 6.06929i 0.775618 + 0.563519i
\(117\) −6.00875 2.34880i −0.555509 0.217147i
\(118\) 1.89524 3.28266i 0.174471 0.302193i
\(119\) −3.20649 5.55381i −0.293939 0.509117i
\(120\) −1.60223 + 0.657931i −0.146263 + 0.0600606i
\(121\) −7.14378 7.93397i −0.649435 0.721270i
\(122\) 1.75001 + 5.38598i 0.158438 + 0.487623i
\(123\) −0.675698 + 2.77705i −0.0609256 + 0.250398i
\(124\) 5.54612 + 0.490512i 0.498056 + 0.0440492i
\(125\) 1.00000i 0.0894427i
\(126\) 3.46741 + 0.570941i 0.308901 + 0.0508634i
\(127\) −11.2462 + 10.1261i −0.997937 + 0.898547i −0.994841 0.101449i \(-0.967652\pi\)
−0.00309626 + 0.999995i \(0.500986\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) −8.62252 + 2.52546i −0.759171 + 0.222354i
\(130\) −1.86239 1.07525i −0.163342 0.0943058i
\(131\) 12.4646 1.31008i 1.08904 0.114463i 0.457051 0.889441i \(-0.348906\pi\)
0.631988 + 0.774978i \(0.282239\pi\)
\(132\) 0.637784 + 0.751389i 0.0555119 + 0.0654000i
\(133\) −0.448871 + 4.27072i −0.0389221 + 0.370319i
\(134\) −9.06686 8.16384i −0.783257 0.705248i
\(135\) −4.71029 + 2.19389i −0.405397 + 0.188820i
\(136\) 1.13827 5.35516i 0.0976062 0.459201i
\(137\) −4.64789 + 0.987941i −0.397096 + 0.0844055i −0.402132 0.915582i \(-0.631731\pi\)
0.00503517 + 0.999987i \(0.498397\pi\)
\(138\) 2.11824 + 11.6273i 0.180316 + 0.989780i
\(139\) 4.27398 + 1.38870i 0.362514 + 0.117788i 0.484610 0.874730i \(-0.338961\pi\)
−0.122096 + 0.992518i \(0.538961\pi\)
\(140\) 1.11404 + 0.361972i 0.0941532 + 0.0305922i
\(141\) 0.133265 + 0.731508i 0.0112229 + 0.0616041i
\(142\) 9.95918 2.11689i 0.835756 0.177645i
\(143\) −0.254417 + 1.19694i −0.0212755 + 0.100093i
\(144\) 1.87367 + 2.34294i 0.156139 + 0.195245i
\(145\) 7.67348 + 6.90923i 0.637248 + 0.573781i
\(146\) −0.262964 + 2.50193i −0.0217630 + 0.207061i
\(147\) 6.30800 + 7.43162i 0.520275 + 0.612949i
\(148\) −1.53503 + 0.161339i −0.126179 + 0.0132619i
\(149\) 15.4834 + 8.93935i 1.26845 + 0.732340i 0.974695 0.223540i \(-0.0717613\pi\)
0.293756 + 0.955880i \(0.405095\pi\)
\(150\) −1.66222 + 0.486849i −0.135720 + 0.0397510i
\(151\) 0.434637 + 0.598227i 0.0353703 + 0.0486830i 0.826336 0.563178i \(-0.190421\pi\)
−0.790966 + 0.611861i \(0.790421\pi\)
\(152\) −2.72438 + 2.45304i −0.220976 + 0.198968i
\(153\) 2.66849 16.2062i 0.215735 1.31019i
\(154\) 0.666531i 0.0537106i
\(155\) 5.46446 + 1.06755i 0.438916 + 0.0857478i
\(156\) −0.880603 + 3.61919i −0.0705047 + 0.289767i
\(157\) 4.49248 + 13.8264i 0.358539 + 1.10347i 0.953929 + 0.300033i \(0.0969976\pi\)
−0.595390 + 0.803437i \(0.703002\pi\)
\(158\) −0.569563 0.632564i −0.0453120 0.0503241i
\(159\) 7.66137 3.14603i 0.607586 0.249497i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 3.99641 6.92199i 0.314961 0.545529i
\(162\) 5.93993 + 6.76146i 0.466685 + 0.531230i
\(163\) −1.48950 1.08219i −0.116667 0.0847633i 0.527922 0.849293i \(-0.322971\pi\)
−0.644589 + 0.764530i \(0.722971\pi\)
\(164\) 1.64107 + 0.172483i 0.128146 + 0.0134687i
\(165\) 0.555748 + 0.813939i 0.0432649 + 0.0633651i
\(166\) 1.35732 3.04860i 0.105349 0.236617i
\(167\) 8.07631 + 1.71667i 0.624964 + 0.132840i 0.509499 0.860471i \(-0.329831\pi\)
0.115465 + 0.993312i \(0.463164\pi\)
\(168\) 0.0593106 2.02800i 0.00457591 0.156464i
\(169\) 7.65125 3.40656i 0.588558 0.262043i
\(170\) 1.69180 5.20684i 0.129755 0.399346i
\(171\) −7.82420 + 7.72909i −0.598332 + 0.591058i
\(172\) 2.10989 + 4.73888i 0.160877 + 0.361336i
\(173\) −2.62903 12.3686i −0.199881 0.940368i −0.957670 0.287868i \(-0.907054\pi\)
0.757789 0.652500i \(-0.226280\pi\)
\(174\) 7.74885 16.1188i 0.587439 1.22196i
\(175\) 1.07010 + 0.476438i 0.0808917 + 0.0360153i
\(176\) 0.380749 0.422865i 0.0287000 0.0318746i
\(177\) −6.18201 2.21046i −0.464669 0.166148i
\(178\) 7.70220 10.6012i 0.577304 0.794591i
\(179\) 0.510614 + 4.85816i 0.0381651 + 0.363116i 0.996892 + 0.0787862i \(0.0251045\pi\)
−0.958726 + 0.284330i \(0.908229\pi\)
\(180\) 1.61850 + 2.52596i 0.120636 + 0.188274i
\(181\) 10.9043 6.29562i 0.810513 0.467950i −0.0366213 0.999329i \(-0.511660\pi\)
0.847134 + 0.531380i \(0.178326\pi\)
\(182\) 2.03794 1.48065i 0.151062 0.109753i
\(183\) 8.63447 4.65401i 0.638278 0.344034i
\(184\) 6.48954 2.10858i 0.478415 0.155447i
\(185\) −1.54349 −0.113480
\(186\) −0.885860 9.60288i −0.0649544 0.704117i
\(187\) −3.11527 −0.227811
\(188\) 0.408277 0.132657i 0.0297766 0.00967502i
\(189\) −0.103510 6.08572i −0.00752927 0.442671i
\(190\) −2.96587 + 2.15483i −0.215167 + 0.156328i
\(191\) 15.8368 9.14337i 1.14591 0.661591i 0.198022 0.980198i \(-0.436548\pi\)
0.947887 + 0.318606i \(0.103215\pi\)
\(192\) 1.19610 1.25273i 0.0863212 0.0904083i
\(193\) −1.65439 15.7405i −0.119086 1.13303i −0.876939 0.480601i \(-0.840419\pi\)
0.757854 0.652425i \(-0.226248\pi\)
\(194\) −0.488901 + 0.672915i −0.0351011 + 0.0483125i
\(195\) −1.25409 + 3.50731i −0.0898070 + 0.251164i
\(196\) 3.76580 4.18235i 0.268986 0.298739i
\(197\) 16.5671 + 7.37615i 1.18036 + 0.525529i 0.900645 0.434555i \(-0.143094\pi\)
0.279712 + 0.960084i \(0.409761\pi\)
\(198\) 1.08238 1.32004i 0.0769215 0.0938113i
\(199\) −4.21524 19.8311i −0.298810 1.40579i −0.829633 0.558309i \(-0.811451\pi\)
0.530823 0.847483i \(-0.321883\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −11.0966 + 17.9843i −0.782692 + 1.26851i
\(202\) −4.91593 + 15.1297i −0.345883 + 1.06452i
\(203\) −11.0495 + 4.91955i −0.775521 + 0.345284i
\(204\) −9.47857 0.277209i −0.663632 0.0194085i
\(205\) 1.61405 + 0.343077i 0.112730 + 0.0239615i
\(206\) 1.75486 3.94148i 0.122267 0.274616i
\(207\) 19.1554 7.21897i 1.33139 0.501753i
\(208\) 2.13872 + 0.224789i 0.148294 + 0.0155863i
\(209\) 1.68764 + 1.22614i 0.116736 + 0.0848140i
\(210\) 0.270969 2.01069i 0.0186987 0.138751i
\(211\) −8.73743 + 15.1337i −0.601510 + 1.04185i 0.391083 + 0.920355i \(0.372101\pi\)
−0.992593 + 0.121490i \(0.961233\pi\)
\(212\) −2.39085 4.14108i −0.164205 0.284411i
\(213\) −6.69884 16.3133i −0.458997 1.11777i
\(214\) −3.10223 3.44537i −0.212064 0.235521i
\(215\) 1.60298 + 4.93346i 0.109322 + 0.336459i
\(216\) 3.41073 3.92006i 0.232071 0.266727i
\(217\) −3.74586 + 5.33888i −0.254285 + 0.362427i
\(218\) 1.00745i 0.0682331i
\(219\) 4.34494 0.328590i 0.293604 0.0222040i
\(220\) 0.422865 0.380749i 0.0285095 0.0256701i
\(221\) −6.92032 9.52501i −0.465511 0.640722i
\(222\) 0.751446 + 2.56562i 0.0504337 + 0.172193i
\(223\) 11.8538 + 6.84380i 0.793790 + 0.458295i 0.841295 0.540576i \(-0.181794\pi\)
−0.0475051 + 0.998871i \(0.515127\pi\)
\(224\) −1.16495 + 0.122441i −0.0778365 + 0.00818094i
\(225\) 1.34560 + 2.68130i 0.0897067 + 0.178753i
\(226\) −1.78296 + 16.9638i −0.118601 + 1.12841i
\(227\) −12.8460 11.5666i −0.852620 0.767703i 0.121772 0.992558i \(-0.461142\pi\)
−0.974392 + 0.224856i \(0.927809\pi\)
\(228\) 5.02573 + 3.88085i 0.332837 + 0.257016i
\(229\) 3.74095 17.5998i 0.247209 1.16303i −0.662917 0.748693i \(-0.730682\pi\)
0.910126 0.414332i \(-0.135985\pi\)
\(230\) 6.67440 1.41869i 0.440097 0.0935454i
\(231\) −1.13577 + 0.206913i −0.0747284 + 0.0136139i
\(232\) −9.82031 3.19081i −0.644735 0.209487i
\(233\) 24.9434 + 8.10459i 1.63409 + 0.530949i 0.975207 0.221293i \(-0.0710277\pi\)
0.658887 + 0.752242i \(0.271028\pi\)
\(234\) 6.44048 + 0.377038i 0.421027 + 0.0246477i
\(235\) 0.419907 0.0892539i 0.0273917 0.00582228i
\(236\) −0.788087 + 3.70766i −0.0513001 + 0.241348i
\(237\) −0.901081 + 1.16691i −0.0585315 + 0.0757987i
\(238\) 4.76578 + 4.29113i 0.308920 + 0.278152i
\(239\) 1.54501 14.6997i 0.0999381 0.950848i −0.823556 0.567235i \(-0.808013\pi\)
0.923494 0.383613i \(-0.125320\pi\)
\(240\) 1.32050 1.12084i 0.0852376 0.0723502i
\(241\) −3.01041 + 0.316407i −0.193918 + 0.0203816i −0.200989 0.979593i \(-0.564416\pi\)
0.00707169 + 0.999975i \(0.497749\pi\)
\(242\) 9.24587 + 5.33811i 0.594347 + 0.343147i
\(243\) 9.67761 12.2206i 0.620819 0.783954i
\(244\) −3.32872 4.58159i −0.213099 0.293306i
\(245\) 4.18235 3.76580i 0.267200 0.240588i
\(246\) −0.215529 2.84993i −0.0137416 0.181705i
\(247\) 7.88378i 0.501633i
\(248\) −5.42625 + 1.24734i −0.344567 + 0.0792062i
\(249\) −5.61619 1.36650i −0.355911 0.0865986i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 8.51058 + 9.45196i 0.537183 + 0.596602i 0.949239 0.314556i \(-0.101856\pi\)
−0.412056 + 0.911159i \(0.635189\pi\)
\(252\) −3.47413 + 0.528491i −0.218850 + 0.0332918i
\(253\) −1.94136 3.36253i −0.122052 0.211400i
\(254\) 7.56661 13.1058i 0.474772 0.822328i
\(255\) −9.39767 1.26647i −0.588505 0.0793095i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −9.15701 0.962441i −0.571199 0.0600354i −0.185474 0.982649i \(-0.559382\pi\)
−0.385725 + 0.922614i \(0.626049\pi\)
\(258\) 7.42010 5.06636i 0.461955 0.315418i
\(259\) 0.735376 1.65168i 0.0456941 0.102631i
\(260\) 2.10351 + 0.447115i 0.130454 + 0.0277289i
\(261\) −29.8720 8.20028i −1.84903 0.507585i
\(262\) −11.4497 + 5.09775i −0.707366 + 0.314940i
\(263\) 8.49185 26.1352i 0.523630 1.61157i −0.243379 0.969931i \(-0.578256\pi\)
0.767009 0.641637i \(-0.221744\pi\)
\(264\) −0.838760 0.517527i −0.0516221 0.0318516i
\(265\) −1.94490 4.36831i −0.119474 0.268343i
\(266\) −0.892824 4.20041i −0.0547426 0.257544i
\(267\) −20.4555 9.83364i −1.25185 0.601809i
\(268\) 11.1459 + 4.96246i 0.680842 + 0.303130i
\(269\) −3.12757 + 3.47352i −0.190692 + 0.211784i −0.830908 0.556411i \(-0.812178\pi\)
0.640216 + 0.768195i \(0.278845\pi\)
\(270\) 3.80181 3.54207i 0.231371 0.215564i
\(271\) 12.0604 16.5997i 0.732618 1.00836i −0.266392 0.963865i \(-0.585831\pi\)
0.999010 0.0444972i \(-0.0141686\pi\)
\(272\) 0.572272 + 5.44480i 0.0346991 + 0.330140i
\(273\) −3.15567 3.01301i −0.190990 0.182356i
\(274\) 4.11512 2.37587i 0.248604 0.143531i
\(275\) 0.460347 0.334462i 0.0277600 0.0201688i
\(276\) −5.60759 10.4036i −0.337537 0.626225i
\(277\) 28.9704 9.41307i 1.74067 0.565576i 0.745744 0.666233i \(-0.232094\pi\)
0.994921 + 0.100656i \(0.0320942\pi\)
\(278\) −4.49393 −0.269528
\(279\) −16.0883 + 4.49056i −0.963184 + 0.268843i
\(280\) −1.17137 −0.0700025
\(281\) 6.09864 1.98157i 0.363815 0.118211i −0.121405 0.992603i \(-0.538740\pi\)
0.485219 + 0.874393i \(0.338740\pi\)
\(282\) −0.352791 0.654524i −0.0210084 0.0389764i
\(283\) 12.5885 9.14610i 0.748310 0.543679i −0.146993 0.989138i \(-0.546959\pi\)
0.895303 + 0.445459i \(0.146959\pi\)
\(284\) −8.81759 + 5.09084i −0.523227 + 0.302085i
\(285\) 4.59254 + 4.38492i 0.272039 + 0.259741i
\(286\) −0.127909 1.21698i −0.00756344 0.0719613i
\(287\) −1.13612 + 1.56373i −0.0670630 + 0.0923042i
\(288\) −2.50597 1.64927i −0.147666 0.0971843i
\(289\) 8.68088 9.64109i 0.510640 0.567123i
\(290\) −9.43298 4.19984i −0.553924 0.246623i
\(291\) 1.29842 + 0.624195i 0.0761148 + 0.0365910i
\(292\) −0.523046 2.46074i −0.0306090 0.144004i
\(293\) 12.2895 + 27.6027i 0.717960 + 1.61257i 0.788484 + 0.615055i \(0.210866\pi\)
−0.0705235 + 0.997510i \(0.522467\pi\)
\(294\) −8.29576 5.11861i −0.483819 0.298523i
\(295\) −1.17133 + 3.60497i −0.0681972 + 0.209889i
\(296\) 1.41005 0.627794i 0.0819573 0.0364898i
\(297\) −2.58536 1.43460i −0.150018 0.0832439i
\(298\) −17.4880 3.71719i −1.01305 0.215331i
\(299\) 5.96844 13.4053i 0.345164 0.775251i
\(300\) 1.43042 0.976675i 0.0825854 0.0563884i
\(301\) −6.04300 0.635145i −0.348313 0.0366091i
\(302\) −0.598227 0.434637i −0.0344241 0.0250106i
\(303\) 27.3071 + 3.68002i 1.56875 + 0.211412i
\(304\) 1.83301 3.17486i 0.105130 0.182091i
\(305\) −2.83158 4.90443i −0.162136 0.280827i
\(306\) 2.47009 + 16.2376i 0.141206 + 0.928241i
\(307\) −13.6916 15.2061i −0.781421 0.867856i 0.212590 0.977142i \(-0.431810\pi\)
−0.994010 + 0.109286i \(0.965144\pi\)
\(308\) 0.205970 + 0.633909i 0.0117362 + 0.0361203i
\(309\) −7.26107 1.76673i −0.413068 0.100506i
\(310\) −5.52690 + 0.673310i −0.313907 + 0.0382414i
\(311\) 32.8476i 1.86262i 0.364230 + 0.931309i \(0.381332\pi\)
−0.364230 + 0.931309i \(0.618668\pi\)
\(312\) −0.280888 3.71417i −0.0159021 0.210274i
\(313\) 13.2534 11.9334i 0.749125 0.674515i −0.203359 0.979104i \(-0.565186\pi\)
0.952484 + 0.304589i \(0.0985192\pi\)
\(314\) −8.54521 11.7615i −0.482234 0.663738i
\(315\) −3.51034 + 0.162450i −0.197785 + 0.00915304i
\(316\) 0.737160 + 0.425599i 0.0414685 + 0.0239418i
\(317\) 27.4340 2.88343i 1.54085 0.161950i 0.704323 0.709880i \(-0.251251\pi\)
0.836524 + 0.547930i \(0.184584\pi\)
\(318\) −6.31422 + 5.35955i −0.354084 + 0.300549i
\(319\) −0.614160 + 5.84334i −0.0343863 + 0.327164i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −4.90790 + 6.35577i −0.273932 + 0.354744i
\(322\) −1.66180 + 7.81816i −0.0926086 + 0.435689i
\(323\) −19.6321 + 4.17293i −1.09236 + 0.232188i
\(324\) −7.73861 4.59499i −0.429923 0.255277i
\(325\) 2.04525 + 0.664542i 0.113450 + 0.0368622i
\(326\) 1.75101 + 0.568938i 0.0969796 + 0.0315106i
\(327\) 1.71670 0.312745i 0.0949337 0.0172948i
\(328\) −1.61405 + 0.343077i −0.0891209 + 0.0189432i
\(329\) −0.104549 + 0.491865i −0.00576398 + 0.0271174i
\(330\) −0.780069 0.602366i −0.0429414 0.0331592i
\(331\) 2.86711 + 2.58156i 0.157591 + 0.141895i 0.744154 0.668008i \(-0.232853\pi\)
−0.586563 + 0.809903i \(0.699519\pi\)
\(332\) −0.348823 + 3.31883i −0.0191441 + 0.182144i
\(333\) 4.13855 2.07692i 0.226791 0.113814i
\(334\) −8.21151 + 0.863065i −0.449314 + 0.0472248i
\(335\) 10.5661 + 6.10033i 0.577287 + 0.333297i
\(336\) 0.570278 + 1.94707i 0.0311112 + 0.106221i
\(337\) 6.05519 + 8.33426i 0.329847 + 0.453996i 0.941442 0.337175i \(-0.109472\pi\)
−0.611594 + 0.791171i \(0.709472\pi\)
\(338\) −6.22409 + 5.60419i −0.338546 + 0.304828i
\(339\) 29.4598 2.22793i 1.60004 0.121004i
\(340\) 5.47479i 0.296912i
\(341\) 1.33621 + 2.87260i 0.0723598 + 0.155560i
\(342\) 5.05284 9.76861i 0.273226 0.528226i
\(343\) 4.57095 + 14.0679i 0.246808 + 0.759597i
\(344\) −3.47101 3.85495i −0.187145 0.207845i
\(345\) −4.48940 10.9328i −0.241701 0.588602i
\(346\) 6.32246 + 10.9508i 0.339898 + 0.588720i
\(347\) −14.3911 + 24.9261i −0.772554 + 1.33810i 0.163605 + 0.986526i \(0.447688\pi\)
−0.936159 + 0.351577i \(0.885646\pi\)
\(348\) −2.38862 + 17.7244i −0.128043 + 0.950127i
\(349\) −12.5161 9.09349i −0.669973 0.486764i 0.200043 0.979787i \(-0.435892\pi\)
−0.870016 + 0.493023i \(0.835892\pi\)
\(350\) −1.16495 0.122441i −0.0622692 0.00654475i
\(351\) −1.35686 11.0917i −0.0724239 0.592029i
\(352\) −0.231441 + 0.519826i −0.0123359 + 0.0277068i
\(353\) −7.48355 1.59068i −0.398309 0.0846632i 0.00440211 0.999990i \(-0.498599\pi\)
−0.402711 + 0.915327i \(0.631932\pi\)
\(354\) 6.56251 + 0.191927i 0.348794 + 0.0102008i
\(355\) −9.30142 + 4.14126i −0.493668 + 0.219795i
\(356\) −4.04929 + 12.4624i −0.214612 + 0.660507i
\(357\) 5.83265 9.45302i 0.308696 0.500307i
\(358\) −1.98688 4.46260i −0.105010 0.235856i
\(359\) 1.09807 + 5.16601i 0.0579539 + 0.272652i 0.997578 0.0695567i \(-0.0221585\pi\)
−0.939624 + 0.342208i \(0.888825\pi\)
\(360\) −2.31985 1.90218i −0.122267 0.100254i
\(361\) −5.07962 2.26159i −0.267348 0.119031i
\(362\) −8.42518 + 9.35711i −0.442818 + 0.491799i
\(363\) 6.22594 17.4121i 0.326777 0.913900i
\(364\) −1.48065 + 2.03794i −0.0776070 + 0.106817i
\(365\) −0.262964 2.50193i −0.0137641 0.130957i
\(366\) −6.77370 + 7.09442i −0.354067 + 0.370831i
\(367\) −4.30266 + 2.48414i −0.224597 + 0.129671i −0.608077 0.793878i \(-0.708059\pi\)
0.383480 + 0.923549i \(0.374725\pi\)
\(368\) −5.52033 + 4.01076i −0.287767 + 0.209075i
\(369\) −4.78939 + 1.25197i −0.249326 + 0.0651751i
\(370\) 1.46795 0.476964i 0.0763148 0.0247962i
\(371\) 5.60113 0.290796
\(372\) 3.80996 + 8.85913i 0.197537 + 0.459325i
\(373\) −33.1963 −1.71884 −0.859419 0.511271i \(-0.829175\pi\)
−0.859419 + 0.511271i \(0.829175\pi\)
\(374\) 2.96280 0.962671i 0.153203 0.0497785i
\(375\) 1.52468 0.821805i 0.0787339 0.0424378i
\(376\) −0.347301 + 0.252329i −0.0179107 + 0.0130129i
\(377\) −19.2305 + 11.1027i −0.990419 + 0.571819i
\(378\) 1.97903 + 5.75588i 0.101791 + 0.296050i
\(379\) 2.07737 + 19.7648i 0.106707 + 1.01525i 0.908567 + 0.417739i \(0.137177\pi\)
−0.801860 + 0.597512i \(0.796156\pi\)
\(380\) 2.15483 2.96587i 0.110540 0.152146i
\(381\) −24.6812 8.82509i −1.26446 0.452123i
\(382\) −12.2362 + 13.5897i −0.626059 + 0.695309i
\(383\) 15.2225 + 6.77751i 0.777835 + 0.346315i 0.756955 0.653467i \(-0.226686\pi\)
0.0208806 + 0.999782i \(0.493353\pi\)
\(384\) −0.750444 + 1.56104i −0.0382959 + 0.0796613i
\(385\) 0.138580 + 0.651966i 0.00706267 + 0.0332273i
\(386\) 6.43750 + 14.4589i 0.327660 + 0.735937i
\(387\) −10.9365 11.0711i −0.555935 0.562776i
\(388\) 0.257031 0.791059i 0.0130488 0.0401599i
\(389\) −18.9726 + 8.44715i −0.961950 + 0.428288i −0.826774 0.562534i \(-0.809826\pi\)
−0.135176 + 0.990822i \(0.543160\pi\)
\(390\) 0.108888 3.72319i 0.00551376 0.188531i
\(391\) 36.5409 + 7.76702i 1.84795 + 0.392795i
\(392\) −2.28907 + 5.14134i −0.115616 + 0.259677i
\(393\) 12.2409 + 17.9279i 0.617474 + 0.904342i
\(394\) −18.0356 1.89562i −0.908621 0.0954999i
\(395\) 0.688634 + 0.500322i 0.0346490 + 0.0251739i
\(396\) −0.621490 + 1.58991i −0.0312311 + 0.0798959i
\(397\) 2.36809 4.10165i 0.118851 0.205856i −0.800462 0.599384i \(-0.795412\pi\)
0.919313 + 0.393528i \(0.128746\pi\)
\(398\) 10.1371 + 17.5579i 0.508126 + 0.880100i
\(399\) −6.88035 + 2.82532i −0.344448 + 0.141443i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) −5.38252 16.5657i −0.268790 0.827251i −0.990796 0.135364i \(-0.956780\pi\)
0.722006 0.691887i \(-0.243220\pi\)
\(402\) 4.99601 20.5331i 0.249178 1.02410i
\(403\) −5.81477 + 10.4668i −0.289654 + 0.521386i
\(404\) 15.9083i 0.791466i
\(405\) −7.21591 5.37872i −0.358561 0.267271i
\(406\) 8.98846 8.09324i 0.446090 0.401661i
\(407\) −0.516238 0.710541i −0.0255890 0.0352202i
\(408\) 9.10032 2.66540i 0.450533 0.131957i
\(409\) −22.7494 13.1343i −1.12488 0.649452i −0.182240 0.983254i \(-0.558335\pi\)
−0.942643 + 0.333802i \(0.891668\pi\)
\(410\) −1.64107 + 0.172483i −0.0810466 + 0.00851834i
\(411\) −5.32595 6.27464i −0.262710 0.309505i
\(412\) −0.450987 + 4.29085i −0.0222185 + 0.211395i
\(413\) −3.29960 2.97097i −0.162363 0.146192i
\(414\) −15.9871 + 12.7850i −0.785721 + 0.628348i
\(415\) −0.693824 + 3.26418i −0.0340585 + 0.160233i
\(416\) −2.10351 + 0.447115i −0.103133 + 0.0219216i
\(417\) 1.39506 + 7.65768i 0.0683165 + 0.374998i
\(418\) −1.98394 0.644621i −0.0970377 0.0315294i
\(419\) −5.07827 1.65003i −0.248090 0.0806092i 0.182333 0.983237i \(-0.441635\pi\)
−0.430422 + 0.902628i \(0.641635\pi\)
\(420\) 0.363630 + 1.99601i 0.0177433 + 0.0973955i
\(421\) 8.11085 1.72401i 0.395299 0.0840233i −0.00597357 0.999982i \(-0.501901\pi\)
0.401272 + 0.915959i \(0.368568\pi\)
\(422\) 3.63323 17.0930i 0.176863 0.832074i
\(423\) −1.00580 + 0.804343i −0.0489034 + 0.0391085i
\(424\) 3.55350 + 3.19959i 0.172573 + 0.155386i
\(425\) −0.572272 + 5.44480i −0.0277593 + 0.264112i
\(426\) 11.4121 + 13.4448i 0.552917 + 0.651405i
\(427\) 6.59729 0.693403i 0.319265 0.0335561i
\(428\) 4.01507 + 2.31810i 0.194076 + 0.112050i
\(429\) −2.03403 + 0.595747i −0.0982037 + 0.0287630i
\(430\) −3.04905 4.19665i −0.147038 0.202381i
\(431\) 19.2853 17.3645i 0.928938 0.836420i −0.0578680 0.998324i \(-0.518430\pi\)
0.986806 + 0.161904i \(0.0517636\pi\)
\(432\) −2.03243 + 4.78218i −0.0977855 + 0.230083i
\(433\) 5.55549i 0.266980i −0.991050 0.133490i \(-0.957382\pi\)
0.991050 0.133490i \(-0.0426184\pi\)
\(434\) 1.91272 6.23511i 0.0918134 0.299295i
\(435\) −4.22823 + 17.3776i −0.202728 + 0.833193i
\(436\) −0.311319 0.958142i −0.0149095 0.0458867i
\(437\) −16.7384 18.5898i −0.800704 0.889272i
\(438\) −4.03074 + 1.65517i −0.192596 + 0.0790869i
\(439\) 19.1175 + 33.1126i 0.912430 + 1.58038i 0.810620 + 0.585572i \(0.199130\pi\)
0.101810 + 0.994804i \(0.467537\pi\)
\(440\) −0.284510 + 0.492786i −0.0135635 + 0.0234927i
\(441\) −6.14685 + 15.7250i −0.292707 + 0.748809i
\(442\) 9.52501 + 6.92032i 0.453059 + 0.329166i
\(443\) 13.1871 + 1.38602i 0.626537 + 0.0658517i 0.412476 0.910969i \(-0.364664\pi\)
0.214061 + 0.976820i \(0.431331\pi\)
\(444\) −1.50749 2.20784i −0.0715422 0.104779i
\(445\) −5.32978 + 11.9709i −0.252656 + 0.567474i
\(446\) −13.3885 2.84581i −0.633964 0.134753i
\(447\) −0.905265 + 30.9536i −0.0428176 + 1.46405i
\(448\) 1.07010 0.476438i 0.0505573 0.0225096i
\(449\) −6.03767 + 18.5820i −0.284935 + 0.876940i 0.701483 + 0.712686i \(0.252522\pi\)
−0.986418 + 0.164254i \(0.947478\pi\)
\(450\) −2.10831 2.13425i −0.0993866 0.100610i
\(451\) 0.381903 + 0.857769i 0.0179831 + 0.0403908i
\(452\) −3.54639 16.6845i −0.166808 0.784772i
\(453\) −0.554915 + 1.15431i −0.0260722 + 0.0542341i
\(454\) 15.7916 + 7.03086i 0.741135 + 0.329975i
\(455\) −1.68556 + 1.87200i −0.0790202 + 0.0877608i
\(456\) −5.97901 2.13787i −0.279993 0.100115i
\(457\) 8.32696 11.4611i 0.389519 0.536126i −0.568556 0.822644i \(-0.692498\pi\)
0.958075 + 0.286518i \(0.0924978\pi\)
\(458\) 1.88078 + 17.8944i 0.0878829 + 0.836150i
\(459\) 26.9021 9.24972i 1.25568 0.431740i
\(460\) −5.90933 + 3.41175i −0.275524 + 0.159074i
\(461\) 23.3216 16.9441i 1.08619 0.789166i 0.107442 0.994211i \(-0.465734\pi\)
0.978752 + 0.205045i \(0.0657341\pi\)
\(462\) 1.01624 0.547759i 0.0472800 0.0254841i
\(463\) −30.0461 + 9.76257i −1.39636 + 0.453705i −0.908012 0.418943i \(-0.862401\pi\)
−0.488349 + 0.872649i \(0.662401\pi\)
\(464\) 10.3257 0.479358
\(465\) 2.86305 + 9.20885i 0.132771 + 0.427050i
\(466\) −26.2270 −1.21494
\(467\) −2.95370 + 0.959715i −0.136681 + 0.0444103i −0.376559 0.926393i \(-0.622893\pi\)
0.239878 + 0.970803i \(0.422893\pi\)
\(468\) −6.24177 + 1.63163i −0.288526 + 0.0754223i
\(469\) −11.5620 + 8.40030i −0.533885 + 0.387890i
\(470\) −0.371774 + 0.214644i −0.0171487 + 0.00990078i
\(471\) −17.3889 + 18.2122i −0.801238 + 0.839175i
\(472\) −0.396214 3.76972i −0.0182372 0.173516i
\(473\) −1.73497 + 2.38798i −0.0797740 + 0.109800i
\(474\) 0.496385 1.38824i 0.0227997 0.0637641i
\(475\) 2.45304 2.72438i 0.112553 0.125003i
\(476\) −5.85856 2.60840i −0.268527 0.119556i
\(477\) 11.0928 + 9.09568i 0.507906 + 0.416463i
\(478\) 3.07308 + 14.4577i 0.140560 + 0.661281i
\(479\) 8.08892 + 18.1680i 0.369592 + 0.830118i 0.998609 + 0.0527261i \(0.0167910\pi\)
−0.629017 + 0.777392i \(0.716542\pi\)
\(480\) −0.909505 + 1.47404i −0.0415130 + 0.0672805i
\(481\) 1.02571 3.15682i 0.0467685 0.143939i
\(482\) 2.76530 1.23119i 0.125956 0.0560791i
\(483\) 13.8381 + 0.404706i 0.629654 + 0.0184148i
\(484\) −10.4429 2.21971i −0.474678 0.100896i
\(485\) 0.338311 0.759858i 0.0153619 0.0345034i
\(486\) −5.42756 + 14.6131i −0.246199 + 0.662862i
\(487\) −17.9348 1.88503i −0.812705 0.0854188i −0.310948 0.950427i \(-0.600646\pi\)
−0.501758 + 0.865008i \(0.667313\pi\)
\(488\) 4.58159 + 3.32872i 0.207399 + 0.150684i
\(489\) 0.425903 3.16035i 0.0192600 0.142916i
\(490\) −2.81395 + 4.87391i −0.127121 + 0.220181i
\(491\) 0.426512 + 0.738741i 0.0192482 + 0.0333389i 0.875489 0.483238i \(-0.160539\pi\)
−0.856241 + 0.516577i \(0.827206\pi\)
\(492\) 1.08566 + 2.64384i 0.0489452 + 0.119194i
\(493\) −37.8266 42.0107i −1.70363 1.89207i
\(494\) −2.43622 7.49792i −0.109611 0.337347i
\(495\) −0.784276 + 1.51624i −0.0352506 + 0.0681497i
\(496\) 4.77522 2.86309i 0.214414 0.128557i
\(497\) 11.9265i 0.534975i
\(498\) 5.76358 0.435876i 0.258272 0.0195321i
\(499\) −7.37273 + 6.63843i −0.330049 + 0.297177i −0.817448 0.576002i \(-0.804612\pi\)
0.487400 + 0.873179i \(0.337945\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) 4.01979 + 13.7245i 0.179591 + 0.613167i
\(502\) −11.0149 6.35943i −0.491617 0.283835i
\(503\) −32.0836 + 3.37213i −1.43054 + 0.150356i −0.787895 0.615810i \(-0.788829\pi\)
−0.642644 + 0.766165i \(0.722162\pi\)
\(504\) 3.14078 1.57619i 0.139902 0.0702091i
\(505\) 1.66287 15.8211i 0.0739966 0.704031i
\(506\) 2.88542 + 2.59804i 0.128273 + 0.115497i
\(507\) 11.4817 + 8.86615i 0.509922 + 0.393760i
\(508\) −3.14637 + 14.8025i −0.139598 + 0.656756i
\(509\) −6.94827 + 1.47690i −0.307977 + 0.0654625i −0.359307 0.933219i \(-0.616987\pi\)
0.0513307 + 0.998682i \(0.483654\pi\)
\(510\) 9.32907 1.69955i 0.413098 0.0752575i
\(511\) 2.80259 + 0.910618i 0.123979 + 0.0402834i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −18.2143 5.57757i −0.804182 0.246256i
\(514\) 9.00625 1.91434i 0.397248 0.0844378i
\(515\) −0.897032 + 4.22021i −0.0395280 + 0.185964i
\(516\) −5.49134 + 7.11133i −0.241743 + 0.313059i
\(517\) 0.181531 + 0.163451i 0.00798370 + 0.00718856i
\(518\) −0.188987 + 1.79809i −0.00830359 + 0.0790034i
\(519\) 16.6976 14.1730i 0.732942 0.622126i
\(520\) −2.13872 + 0.224789i −0.0937892 + 0.00985764i
\(521\) −5.15742 2.97764i −0.225951 0.130453i 0.382752 0.923851i \(-0.374976\pi\)
−0.608703 + 0.793398i \(0.708310\pi\)
\(522\) 30.9439 1.43201i 1.35438 0.0626775i
\(523\) −11.8967 16.3744i −0.520207 0.716004i 0.465392 0.885105i \(-0.345914\pi\)
−0.985599 + 0.169101i \(0.945914\pi\)
\(524\) 9.31404 8.38640i 0.406886 0.366362i
\(525\) 0.152998 + 2.02309i 0.00667738 + 0.0882948i
\(526\) 27.4802i 1.19819i
\(527\) −29.1420 8.93976i −1.26944 0.389422i
\(528\) 0.957633 + 0.233006i 0.0416756 + 0.0101403i
\(529\) 7.28051 + 22.4071i 0.316544 + 0.974222i
\(530\) 3.19959 + 3.55350i 0.138981 + 0.154354i
\(531\) −1.71017 11.2421i −0.0742152 0.487867i
\(532\) 2.14712 + 3.71893i 0.0930896 + 0.161236i
\(533\) −1.77428 + 3.07314i −0.0768526 + 0.133113i
\(534\) 22.4931 + 3.03126i 0.973369 + 0.131176i
\(535\) 3.75077 + 2.72509i 0.162160 + 0.117816i
\(536\) −12.1338 1.27532i −0.524102 0.0550853i
\(537\) −6.98750 + 4.77098i −0.301533 + 0.205883i
\(538\) 1.90112 4.26999i 0.0819632 0.184092i
\(539\) 3.13241 + 0.665814i 0.134922 + 0.0286787i
\(540\) −2.52117 + 4.54353i −0.108494 + 0.195523i
\(541\) 0.527913 0.235042i 0.0226967 0.0101052i −0.395357 0.918528i \(-0.629379\pi\)
0.418054 + 0.908422i \(0.362712\pi\)
\(542\) −6.34053 + 19.5142i −0.272349 + 0.838205i
\(543\) 18.5600 + 11.4518i 0.796486 + 0.491444i
\(544\) −2.22680 5.00147i −0.0954732 0.214436i
\(545\) −0.209461 0.985435i −0.00897231 0.0422114i
\(546\) 3.93229 + 1.89039i 0.168287 + 0.0809011i
\(547\) −16.0945 7.16573i −0.688151 0.306384i 0.0327096 0.999465i \(-0.489586\pi\)
−0.720860 + 0.693081i \(0.756253\pi\)
\(548\) −3.17953 + 3.53122i −0.135823 + 0.150846i
\(549\) 14.1917 + 9.34008i 0.605687 + 0.398625i
\(550\) −0.334462 + 0.460347i −0.0142615 + 0.0196293i
\(551\) 3.95683 + 37.6468i 0.168567 + 1.60381i
\(552\) 8.54804 + 8.16160i 0.363829 + 0.347381i
\(553\) −0.863484 + 0.498533i −0.0367191 + 0.0211998i
\(554\) −24.6437 + 17.9047i −1.04701 + 0.760699i
\(555\) −1.26845 2.35332i −0.0538426 0.0998929i
\(556\) 4.27398 1.38870i 0.181257 0.0588940i
\(557\) 18.8652 0.799343 0.399672 0.916658i \(-0.369124\pi\)
0.399672 + 0.916658i \(0.369124\pi\)
\(558\) 13.9133 9.24234i 0.588996 0.391260i
\(559\) −11.1554 −0.471824
\(560\) 1.11404 0.361972i 0.0470766 0.0152961i
\(561\) −2.56014 4.74978i −0.108089 0.200536i
\(562\) −5.18782 + 3.76917i −0.218835 + 0.158993i
\(563\) 9.19574 5.30916i 0.387554 0.223755i −0.293546 0.955945i \(-0.594835\pi\)
0.681100 + 0.732191i \(0.261502\pi\)
\(564\) 0.537783 + 0.513471i 0.0226448 + 0.0216210i
\(565\) −1.78296 16.9638i −0.0750099 0.713671i
\(566\) −9.14610 + 12.5885i −0.384439 + 0.529135i
\(567\) 9.19368 5.15909i 0.386098 0.216662i
\(568\) 6.81287 7.56646i 0.285862 0.317481i
\(569\) −26.4747 11.7873i −1.10988 0.494149i −0.231846 0.972753i \(-0.574476\pi\)
−0.878031 + 0.478604i \(0.841143\pi\)
\(570\) −5.72278 2.75114i −0.239701 0.115232i
\(571\) −5.05028 23.7597i −0.211348 0.994312i −0.948056 0.318102i \(-0.896954\pi\)
0.736709 0.676210i \(-0.236379\pi\)
\(572\) 0.497716 + 1.11789i 0.0208105 + 0.0467412i
\(573\) 26.9554 + 16.6319i 1.12608 + 0.694807i
\(574\) 0.597293 1.83828i 0.0249305 0.0767283i
\(575\) −6.23358 + 2.77537i −0.259958 + 0.115741i
\(576\) 2.89298 + 0.794163i 0.120541 + 0.0330901i
\(577\) 31.4854 + 6.69244i 1.31076 + 0.278610i 0.809720 0.586816i \(-0.199619\pi\)
0.501036 + 0.865426i \(0.332952\pi\)
\(578\) −5.27674 + 11.8518i −0.219484 + 0.492968i
\(579\) 22.6396 15.4580i 0.940868 0.642414i
\(580\) 10.2691 + 1.07933i 0.426402 + 0.0448167i
\(581\) −3.16243 2.29764i −0.131200 0.0953221i
\(582\) −1.42776 0.192411i −0.0591825 0.00797569i
\(583\) 1.36044 2.35636i 0.0563439 0.0975904i
\(584\) 1.25786 + 2.17867i 0.0520505 + 0.0901541i
\(585\) −6.37813 + 0.970253i −0.263703 + 0.0401150i
\(586\) −20.2177 22.4540i −0.835186 0.927568i
\(587\) −9.02095 27.7636i −0.372335 1.14593i −0.945259 0.326320i \(-0.894191\pi\)
0.572925 0.819608i \(-0.305809\pi\)
\(588\) 9.47148 + 2.30455i 0.390597 + 0.0950381i
\(589\) 12.2685 + 16.3130i 0.505516 + 0.672164i
\(590\) 3.79049i 0.156052i
\(591\) 2.36870 + 31.3212i 0.0974351 + 1.28838i
\(592\) −1.14704 + 1.03280i −0.0471429 + 0.0424476i
\(593\) −19.6006 26.9779i −0.804900 1.10785i −0.992090 0.125526i \(-0.959938\pi\)
0.187191 0.982324i \(-0.440062\pi\)
\(594\) 2.90214 + 0.565463i 0.119076 + 0.0232012i
\(595\) −5.55381 3.20649i −0.227684 0.131453i
\(596\) 17.7808 1.86883i 0.728329 0.0765504i
\(597\) 26.7719 22.7242i 1.09570 0.930039i
\(598\) −1.53385 + 14.5936i −0.0627237 + 0.596776i
\(599\) −17.3303 15.6043i −0.708097 0.637574i 0.234263 0.972173i \(-0.424732\pi\)
−0.942360 + 0.334599i \(0.891399\pi\)
\(600\) −1.05860 + 1.37090i −0.0432173 + 0.0559667i
\(601\) −4.22756 + 19.8891i −0.172446 + 0.811293i 0.803846 + 0.594837i \(0.202783\pi\)
−0.976292 + 0.216457i \(0.930550\pi\)
\(602\) 5.94351 1.26333i 0.242239 0.0514895i
\(603\) −36.5394 2.13909i −1.48800 0.0871103i
\(604\) 0.703258 + 0.228502i 0.0286152 + 0.00929763i
\(605\) −10.1537 3.29913i −0.412806 0.134129i
\(606\) −27.1078 + 4.93844i −1.10118 + 0.200611i
\(607\) 14.7869 3.14305i 0.600181 0.127572i 0.102205 0.994763i \(-0.467410\pi\)
0.497976 + 0.867191i \(0.334077\pi\)
\(608\) −0.762207 + 3.58590i −0.0309116 + 0.145428i
\(609\) −16.5812 12.8040i −0.671905 0.518843i
\(610\) 4.20854 + 3.78939i 0.170399 + 0.153428i
\(611\) −0.0964990 + 0.918127i −0.00390393 + 0.0371434i
\(612\) −7.36688 14.6796i −0.297789 0.593386i
\(613\) −5.40291 + 0.567868i −0.218221 + 0.0229360i −0.213008 0.977050i \(-0.568326\pi\)
−0.00521317 + 0.999986i \(0.501659\pi\)
\(614\) 17.7204 + 10.2309i 0.715138 + 0.412885i
\(615\) 0.803353 + 2.74284i 0.0323943 + 0.110602i
\(616\) −0.391777 0.539235i −0.0157852 0.0217264i
\(617\) −6.79995 + 6.12270i −0.273756 + 0.246491i −0.794560 0.607185i \(-0.792299\pi\)
0.520805 + 0.853676i \(0.325632\pi\)
\(618\) 7.45163 0.563536i 0.299749 0.0226688i
\(619\) 26.6125i 1.06965i −0.844963 0.534824i \(-0.820378\pi\)
0.844963 0.534824i \(-0.179622\pi\)
\(620\) 5.04833 2.34826i 0.202746 0.0943085i
\(621\) 26.7486 + 23.2731i 1.07338 + 0.933919i
\(622\) −10.1505 31.2400i −0.406997 1.25261i
\(623\) −10.2707 11.4068i −0.411487 0.457002i
\(624\) 1.41488 + 3.44559i 0.0566407 + 0.137934i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −8.91708 + 15.4448i −0.356398 + 0.617300i
\(627\) −0.482558 + 3.58075i −0.0192715 + 0.143002i
\(628\) 11.7615 + 8.54521i 0.469334 + 0.340991i
\(629\) 8.40399 + 0.883295i 0.335089 + 0.0352193i
\(630\) 3.28833 1.23925i 0.131010 0.0493731i
\(631\) −4.89230 + 10.9883i −0.194759 + 0.437437i −0.984356 0.176189i \(-0.943623\pi\)
0.789597 + 0.613626i \(0.210290\pi\)
\(632\) −0.832598 0.176974i −0.0331190 0.00703966i
\(633\) −30.2544 0.884817i −1.20251 0.0351683i
\(634\) −25.2003 + 11.2199i −1.00083 + 0.445598i
\(635\) −4.67642 + 14.3926i −0.185578 + 0.571151i
\(636\) 4.34899 7.04844i 0.172449 0.279489i
\(637\) 4.92266 + 11.0565i 0.195043 + 0.438073i
\(638\) −1.22159 5.74713i −0.0483632 0.227531i
\(639\) 19.3674 23.6199i 0.766163 0.934390i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) −18.2043 + 20.2180i −0.719028 + 0.798562i −0.986283 0.165064i \(-0.947217\pi\)
0.267255 + 0.963626i \(0.413884\pi\)
\(642\) 2.70365 7.56132i 0.106705 0.298421i
\(643\) −23.1182 + 31.8194i −0.911692 + 1.25484i 0.0548934 + 0.998492i \(0.482518\pi\)
−0.966586 + 0.256344i \(0.917482\pi\)
\(644\) −0.835478 7.94904i −0.0329224 0.313236i
\(645\) −6.20459 + 6.49837i −0.244306 + 0.255873i
\(646\) 17.3817 10.0353i 0.683874 0.394835i
\(647\) −0.346380 + 0.251660i −0.0136176 + 0.00989376i −0.594573 0.804041i \(-0.702679\pi\)
0.580956 + 0.813935i \(0.302679\pi\)
\(648\) 8.77978 + 1.97873i 0.344903 + 0.0777319i
\(649\) −2.05130 + 0.666508i −0.0805206 + 0.0261627i
\(650\) −2.15050 −0.0843497
\(651\) −11.2184 1.32370i −0.439685 0.0518799i
\(652\) −1.84112 −0.0721040
\(653\) 13.1871 4.28474i 0.516050 0.167675i −0.0394022 0.999223i \(-0.512545\pi\)
0.555452 + 0.831549i \(0.312545\pi\)
\(654\) −1.53603 + 0.827928i −0.0600637 + 0.0323745i
\(655\) 10.1396 7.36688i 0.396188 0.287848i
\(656\) 1.42904 0.825054i 0.0557944 0.0322129i
\(657\) 4.07168 + 6.35458i 0.158851 + 0.247916i
\(658\) −0.0525625 0.500098i −0.00204910 0.0194959i
\(659\) −18.8321 + 25.9202i −0.733595 + 1.00971i 0.265366 + 0.964148i \(0.414507\pi\)
−0.998962 + 0.0455599i \(0.985493\pi\)
\(660\) 0.928031 + 0.331830i 0.0361236 + 0.0129165i
\(661\) −0.371837 + 0.412966i −0.0144628 + 0.0160625i −0.750333 0.661060i \(-0.770107\pi\)
0.735870 + 0.677123i \(0.236773\pi\)
\(662\) −3.52453 1.56922i −0.136985 0.0609896i
\(663\) 8.83539 18.3790i 0.343138 0.713779i
\(664\) −0.693824 3.26418i −0.0269256 0.126675i
\(665\) 1.74663 + 3.92299i 0.0677313 + 0.152127i
\(666\) −3.29420 + 3.25415i −0.127648 + 0.126096i
\(667\) 21.7725 67.0089i 0.843036 2.59460i
\(668\) 7.54291 3.35832i 0.291844 0.129937i
\(669\) −0.693054 + 23.6975i −0.0267950 + 0.916198i
\(670\) −11.9340 2.53666i −0.461053 0.0979997i
\(671\) 1.31069 2.94385i 0.0505986 0.113646i
\(672\) −1.14404 1.67555i −0.0441325 0.0646356i
\(673\) −15.2554 1.60341i −0.588053 0.0618068i −0.194170 0.980968i \(-0.562202\pi\)
−0.393882 + 0.919161i \(0.628868\pi\)
\(674\) −8.33426 6.05519i −0.321024 0.233237i
\(675\) −2.98229 + 4.25511i −0.114788 + 0.163779i
\(676\) 4.18767 7.25325i 0.161064 0.278971i
\(677\) −0.114376 0.198105i −0.00439582 0.00761378i 0.863819 0.503802i \(-0.168066\pi\)
−0.868215 + 0.496188i \(0.834733\pi\)
\(678\) −27.3295 + 11.2225i −1.04958 + 0.430997i
\(679\) 0.651938 + 0.724050i 0.0250191 + 0.0277865i
\(680\) −1.69180 5.20684i −0.0648777 0.199673i
\(681\) 7.07840 29.0915i 0.271245 1.11479i
\(682\) −2.15849 2.31910i −0.0826530 0.0888029i
\(683\) 11.8167i 0.452154i 0.974109 + 0.226077i \(0.0725900\pi\)
−0.974109 + 0.226077i \(0.927410\pi\)
\(684\) −1.78687 + 10.8519i −0.0683226 + 0.414933i
\(685\) −3.53122 + 3.17953i −0.134921 + 0.121484i
\(686\) −8.69446 11.9669i −0.331956 0.456898i
\(687\) 29.9083 8.75985i 1.14107 0.334209i
\(688\) 4.49238 + 2.59367i 0.171270 + 0.0988829i
\(689\) 10.2267 1.07487i 0.389608 0.0409494i
\(690\) 7.64809 + 9.01040i 0.291158 + 0.343020i
\(691\) 2.30335 21.9149i 0.0876236 0.833683i −0.859137 0.511745i \(-0.828999\pi\)
0.946761 0.321938i \(-0.104334\pi\)
\(692\) −9.39701 8.46111i −0.357221 0.321643i
\(693\) −1.24886 1.56164i −0.0474402 0.0593219i
\(694\) 5.98415 28.1532i 0.227155 1.06868i
\(695\) 4.39573 0.934341i 0.166739 0.0354416i
\(696\) −3.20543 17.5950i −0.121501 0.666937i
\(697\) −8.59184 2.79166i −0.325439 0.105742i
\(698\) 14.7136 + 4.78073i 0.556917 + 0.180953i
\(699\) 8.14171 + 44.6909i 0.307948 + 1.69037i
\(700\) 1.14577 0.243541i 0.0433060 0.00920498i
\(701\) 8.94605 42.0878i 0.337888 1.58964i −0.401176 0.916001i \(-0.631399\pi\)
0.739064 0.673635i \(-0.235268\pi\)
\(702\) 4.71796 + 10.1295i 0.178068 + 0.382313i
\(703\) −4.20505 3.78624i −0.158597 0.142801i
\(704\) 0.0594788 0.565903i 0.00224169 0.0213283i
\(705\) 0.481165 + 0.566872i 0.0181217 + 0.0213496i
\(706\) 7.60882 0.799720i 0.286362 0.0300978i
\(707\) 16.1379 + 9.31721i 0.606927 + 0.350410i
\(708\) −6.30063 + 1.84540i −0.236792 + 0.0693542i
\(709\) −22.8863 31.5003i −0.859512 1.18302i −0.981686 0.190508i \(-0.938986\pi\)
0.122173 0.992509i \(-0.461014\pi\)
\(710\) 7.56646 6.81287i 0.283964 0.255682i
\(711\) −2.51967 0.414886i −0.0944949 0.0155595i
\(712\) 13.1038i 0.491084i
\(713\) −8.51123 37.0260i −0.318748 1.38664i
\(714\) −2.62604 + 10.7927i −0.0982769 + 0.403908i
\(715\) 0.378138 + 1.16379i 0.0141416 + 0.0435232i
\(716\) 3.26865 + 3.63021i 0.122155 + 0.135667i
\(717\) 23.6820 9.72470i 0.884422 0.363175i
\(718\) −2.64071 4.57385i −0.0985505 0.170694i
\(719\) −20.4449 + 35.4115i −0.762464 + 1.32063i 0.179113 + 0.983829i \(0.442677\pi\)
−0.941577 + 0.336798i \(0.890656\pi\)
\(720\) 2.79411 + 1.09221i 0.104130 + 0.0407043i
\(721\) −4.08865 2.97058i −0.152269 0.110630i
\(722\) 5.52987 + 0.581213i 0.205801 + 0.0216305i
\(723\) −2.95639 4.32988i −0.109949 0.161030i
\(724\) 5.12132 11.5027i 0.190332 0.427493i
\(725\) 10.1000 + 2.14683i 0.375106 + 0.0797313i
\(726\) −0.540576 + 18.4838i −0.0200627 + 0.686000i
\(727\) 4.72429 2.10339i 0.175214 0.0780104i −0.317255 0.948340i \(-0.602761\pi\)
0.492469 + 0.870330i \(0.336094\pi\)
\(728\) 0.778422 2.39574i 0.0288502 0.0887919i
\(729\) 26.5856 + 4.71223i 0.984652 + 0.174527i
\(730\) 1.02323 + 2.29822i 0.0378715 + 0.0850609i
\(731\) −5.90462 27.7791i −0.218390 1.02745i
\(732\) 4.24988 8.84039i 0.157080 0.326750i
\(733\) 24.7784 + 11.0320i 0.915209 + 0.407477i 0.809635 0.586934i \(-0.199665\pi\)
0.105575 + 0.994411i \(0.466332\pi\)
\(734\) 3.32443 3.69215i 0.122707 0.136280i
\(735\) 9.17870 + 3.28197i 0.338561 + 0.121057i
\(736\) 4.01076 5.52033i 0.147838 0.203482i
\(737\) 0.725681 + 6.90440i 0.0267308 + 0.254327i
\(738\) 4.16810 2.67070i 0.153430 0.0983098i
\(739\) 12.4505 7.18833i 0.458001 0.264427i −0.253203 0.967413i \(-0.581484\pi\)
0.711203 + 0.702986i \(0.248151\pi\)
\(740\) −1.24871 + 0.907240i −0.0459034 + 0.0333508i
\(741\) −12.0202 + 6.47893i −0.441573 + 0.238009i
\(742\) −5.32699 + 1.73084i −0.195560 + 0.0635413i
\(743\) 35.0045 1.28419 0.642096 0.766624i \(-0.278065\pi\)
0.642096 + 0.766624i \(0.278065\pi\)
\(744\) −6.36111 7.24820i −0.233209 0.265732i
\(745\) 17.8787 0.655025
\(746\) 31.5715 10.2582i 1.15592 0.375580i
\(747\) −2.53194 9.68586i −0.0926388 0.354387i
\(748\) −2.52031 + 1.83111i −0.0921515 + 0.0669520i
\(749\) −4.70312 + 2.71535i −0.171848 + 0.0992167i
\(750\) −1.19610 + 1.25273i −0.0436754 + 0.0457434i
\(751\) 2.35946 + 22.4487i 0.0860978 + 0.819166i 0.949314 + 0.314331i \(0.101780\pi\)
−0.863216 + 0.504835i \(0.831553\pi\)
\(752\) 0.252329 0.347301i 0.00920149 0.0126648i
\(753\) −7.41713 + 20.7435i −0.270295 + 0.755937i
\(754\) 14.8583 16.5018i 0.541108 0.600962i
\(755\) 0.675520 + 0.300761i 0.0245847 + 0.0109458i
\(756\) −3.66084 4.86261i −0.133143 0.176851i
\(757\) −2.59886 12.2267i −0.0944572 0.444386i −0.999806 0.0197166i \(-0.993724\pi\)
0.905348 0.424670i \(-0.139610\pi\)
\(758\) −8.08336 18.1555i −0.293601 0.659438i
\(759\) 3.53135 5.72328i 0.128180 0.207742i
\(760\) −1.13286 + 3.48659i −0.0410932 + 0.126472i
\(761\) 8.95391 3.98654i 0.324579 0.144512i −0.237978 0.971271i \(-0.576484\pi\)
0.562557 + 0.826759i \(0.309818\pi\)
\(762\) 26.2003 + 0.766251i 0.949137 + 0.0277584i
\(763\) 1.15431 + 0.245355i 0.0417887 + 0.00888245i
\(764\) 7.43789 16.7058i 0.269093 0.604394i
\(765\) −5.79209 15.3692i −0.209414 0.555674i
\(766\) −16.5719 1.74177i −0.598766 0.0629328i
\(767\) −6.59467 4.79131i −0.238120 0.173004i
\(768\) 0.231328 1.71653i 0.00834731 0.0619401i
\(769\) −10.5137 + 18.2102i −0.379133 + 0.656678i −0.990936 0.134332i \(-0.957111\pi\)
0.611803 + 0.791010i \(0.290444\pi\)
\(770\) −0.333266 0.577233i −0.0120101 0.0208020i
\(771\) −6.05787 14.7524i −0.218169 0.531295i
\(772\) −10.5905 11.7619i −0.381159 0.423320i
\(773\) −11.0955 34.1484i −0.399077