Properties

Label 690.2.w.a.7.11
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 7.11
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.24397 - 1.85810i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(0.294639 - 0.539591i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(1.24397 - 1.85810i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(0.294639 - 0.539591i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(1.10824 - 1.94211i) q^{10} +(-0.0136216 + 0.0118032i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(2.55823 - 1.39690i) q^{13} +(0.255394 - 0.559236i) q^{14} +(1.55121 + 1.61051i) q^{15} +(0.959493 - 0.281733i) q^{16} +(2.52854 + 3.37773i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(-0.208338 - 1.44903i) q^{19} +(0.966872 - 2.01622i) q^{20} +(0.464630 + 0.402604i) q^{21} +(-0.0127449 + 0.0127449i) q^{22} +(0.868851 - 4.71647i) q^{23} +1.00000i q^{24} +(-1.90508 - 4.62284i) q^{25} +(2.45206 - 1.57584i) q^{26} +(0.599278 - 0.800541i) q^{27} +(0.214848 - 0.576030i) q^{28} +(1.75151 + 0.251830i) q^{29} +(1.66215 + 1.49574i) q^{30} +(-2.35626 - 1.51428i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-0.00863796 - 0.0158192i) q^{33} +(2.76306 + 3.18874i) q^{34} +(-0.636093 - 1.21870i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(3.04312 + 8.15892i) q^{37} +(-0.311180 - 1.43047i) q^{38} +(0.821185 + 2.79670i) q^{39} +(0.820572 - 2.08006i) q^{40} +(4.04979 + 8.86780i) q^{41} +(0.492167 + 0.368432i) q^{42} +(-9.90459 - 2.15461i) q^{43} +(-0.0118032 + 0.0136216i) q^{44} +(-1.90344 + 1.17343i) q^{45} +(0.530168 - 4.76644i) q^{46} +(1.44422 + 1.44422i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(3.58014 + 5.57081i) q^{49} +(-2.23002 - 4.47516i) q^{50} +(-3.83802 + 1.75277i) q^{51} +(2.33339 - 1.74676i) q^{52} +(-1.02310 - 0.558655i) q^{53} +(0.540641 - 0.841254i) q^{54} +(0.00498667 + 0.0399931i) q^{55} +(0.173207 - 0.589890i) q^{56} +(1.46020 + 0.104435i) q^{57} +(1.76502 + 0.126236i) q^{58} +(-0.309071 + 1.05260i) q^{59} +(1.76462 + 1.37335i) q^{60} +(4.01893 - 6.25357i) q^{61} +(-2.45829 - 1.34233i) q^{62} +(-0.492167 + 0.368432i) q^{63} +(0.909632 - 0.415415i) q^{64} +(0.586778 - 6.49115i) q^{65} +(-0.00974449 - 0.0151627i) q^{66} +(-0.188015 - 2.62879i) q^{67} +(2.98351 + 2.98351i) q^{68} +(4.42400 + 1.85155i) q^{69} +(-0.721414 - 1.17022i) q^{70} +(-8.80307 + 10.1593i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(-10.3492 - 7.74734i) q^{73} +(3.61742 + 7.92104i) q^{74} +(4.92215 - 0.878890i) q^{75} +(-0.412436 - 1.40463i) q^{76} +(0.00235544 + 0.0108278i) q^{77} +(1.01861 + 2.73099i) q^{78} +(-0.217136 - 0.0637570i) q^{79} +(0.670092 - 2.13330i) q^{80} +(0.654861 + 0.755750i) q^{81} +(4.67209 + 8.55630i) q^{82} +(-4.39699 + 1.63999i) q^{83} +(0.517197 + 0.332382i) q^{84} +(9.42160 - 0.496488i) q^{85} +(-10.0331 - 1.44254i) q^{86} +(-0.618386 + 1.65796i) q^{87} +(-0.0108014 + 0.0144289i) q^{88} +(-1.41759 + 0.911027i) q^{89} +(-1.81488 + 1.30623i) q^{90} -1.79198i q^{91} +(0.188784 - 4.79211i) q^{92} +(1.98053 - 1.98053i) q^{93} +(1.54357 + 1.33751i) q^{94} +(-2.95160 - 1.41543i) q^{95} +(0.142315 + 0.989821i) q^{96} +(-12.0907 - 4.50962i) q^{97} +(3.96843 + 5.30121i) q^{98} +(0.0172939 - 0.00507793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 24 q^{6} + O(q^{10}) \) \( 240 q - 24 q^{6} + 44 q^{10} - 16 q^{13} + 24 q^{16} + 44 q^{21} + 72 q^{23} + 16 q^{25} + 44 q^{28} - 16 q^{31} - 44 q^{33} - 24 q^{36} + 44 q^{37} + 88 q^{43} - 8 q^{46} + 48 q^{47} + 8 q^{50} - 16 q^{52} + 56 q^{55} + 44 q^{57} + 16 q^{58} + 88 q^{61} + 8 q^{62} + 88 q^{65} - 132 q^{67} + 56 q^{70} - 64 q^{71} + 16 q^{73} - 32 q^{75} - 16 q^{77} - 16 q^{78} + 24 q^{81} - 24 q^{82} + 92 q^{85} - 16 q^{87} - 44 q^{88} + 116 q^{92} - 80 q^{93} + 20 q^{95} + 24 q^{96} - 88 q^{98} + O(q^{100}) \)

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
\(5\) 1.24397 1.85810i 0.556320 0.830968i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) 0.294639 0.539591i 0.111363 0.203946i −0.816053 0.577976i \(-0.803843\pi\)
0.927417 + 0.374030i \(0.122024\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) 1.10824 1.94211i 0.350458 0.614149i
\(11\) −0.0136216 + 0.0118032i −0.00410707 + 0.00355879i −0.656912 0.753967i \(-0.728138\pi\)
0.652805 + 0.757526i \(0.273592\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) 2.55823 1.39690i 0.709525 0.387430i −0.0835911 0.996500i \(-0.526639\pi\)
0.793117 + 0.609070i \(0.208457\pi\)
\(14\) 0.255394 0.559236i 0.0682570 0.149462i
\(15\) 1.55121 + 1.61051i 0.400522 + 0.415831i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) 2.52854 + 3.37773i 0.613261 + 0.819221i 0.994443 0.105279i \(-0.0335736\pi\)
−0.381182 + 0.924500i \(0.624483\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) −0.208338 1.44903i −0.0477961 0.332429i −0.999664 0.0259206i \(-0.991748\pi\)
0.951868 0.306509i \(-0.0991608\pi\)
\(20\) 0.966872 2.01622i 0.216199 0.450841i
\(21\) 0.464630 + 0.402604i 0.101391 + 0.0878554i
\(22\) −0.0127449 + 0.0127449i −0.00271721 + 0.00271721i
\(23\) 0.868851 4.71647i 0.181168 0.983452i
\(24\) 1.00000i 0.204124i
\(25\) −1.90508 4.62284i −0.381017 0.924568i
\(26\) 2.45206 1.57584i 0.480888 0.309048i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) 0.214848 0.576030i 0.0406025 0.108859i
\(29\) 1.75151 + 0.251830i 0.325248 + 0.0467636i 0.303005 0.952989i \(-0.402010\pi\)
0.0222430 + 0.999753i \(0.492919\pi\)
\(30\) 1.66215 + 1.49574i 0.303466 + 0.273084i
\(31\) −2.35626 1.51428i −0.423197 0.271972i 0.311661 0.950194i \(-0.399115\pi\)
−0.734858 + 0.678221i \(0.762751\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −0.00863796 0.0158192i −0.00150368 0.00275378i
\(34\) 2.76306 + 3.18874i 0.473861 + 0.546865i
\(35\) −0.636093 1.21870i −0.107519 0.205999i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 3.04312 + 8.15892i 0.500286 + 1.34132i 0.904430 + 0.426623i \(0.140297\pi\)
−0.404144 + 0.914696i \(0.632430\pi\)
\(38\) −0.311180 1.43047i −0.0504800 0.232053i
\(39\) 0.821185 + 2.79670i 0.131495 + 0.447830i
\(40\) 0.820572 2.08006i 0.129744 0.328887i
\(41\) 4.04979 + 8.86780i 0.632471 + 1.38492i 0.906092 + 0.423081i \(0.139051\pi\)
−0.273621 + 0.961838i \(0.588221\pi\)
\(42\) 0.492167 + 0.368432i 0.0759431 + 0.0568503i
\(43\) −9.90459 2.15461i −1.51044 0.328575i −0.620335 0.784337i \(-0.713003\pi\)
−0.890102 + 0.455762i \(0.849367\pi\)
\(44\) −0.0118032 + 0.0136216i −0.00177940 + 0.00205353i
\(45\) −1.90344 + 1.17343i −0.283748 + 0.174924i
\(46\) 0.530168 4.76644i 0.0781690 0.702773i
\(47\) 1.44422 + 1.44422i 0.210662 + 0.210662i 0.804548 0.593887i \(-0.202407\pi\)
−0.593887 + 0.804548i \(0.702407\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) 3.58014 + 5.57081i 0.511448 + 0.795829i
\(50\) −2.23002 4.47516i −0.315372 0.632883i
\(51\) −3.83802 + 1.75277i −0.537431 + 0.245436i
\(52\) 2.33339 1.74676i 0.323583 0.242231i
\(53\) −1.02310 0.558655i −0.140534 0.0767371i 0.407444 0.913230i \(-0.366420\pi\)
−0.547977 + 0.836493i \(0.684602\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) 0.00498667 + 0.0399931i 0.000672402 + 0.00539267i
\(56\) 0.173207 0.589890i 0.0231458 0.0788273i
\(57\) 1.46020 + 0.104435i 0.193408 + 0.0138328i
\(58\) 1.76502 + 0.126236i 0.231758 + 0.0165757i
\(59\) −0.309071 + 1.05260i −0.0402376 + 0.137037i −0.977162 0.212495i \(-0.931841\pi\)
0.936925 + 0.349532i \(0.113659\pi\)
\(60\) 1.76462 + 1.37335i 0.227812 + 0.177299i
\(61\) 4.01893 6.25357i 0.514571 0.800688i −0.482601 0.875840i \(-0.660308\pi\)
0.997172 + 0.0751526i \(0.0239444\pi\)
\(62\) −2.45829 1.34233i −0.312203 0.170476i
\(63\) −0.492167 + 0.368432i −0.0620072 + 0.0464180i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 0.586778 6.49115i 0.0727808 0.805128i
\(66\) −0.00974449 0.0151627i −0.00119946 0.00186640i
\(67\) −0.188015 2.62879i −0.0229697 0.321158i −0.995926 0.0901705i \(-0.971259\pi\)
0.972957 0.230988i \(-0.0741957\pi\)
\(68\) 2.98351 + 2.98351i 0.361803 + 0.361803i
\(69\) 4.42400 + 1.85155i 0.532587 + 0.222901i
\(70\) −0.721414 1.17022i −0.0862254 0.139868i
\(71\) −8.80307 + 10.1593i −1.04473 + 1.20569i −0.0665837 + 0.997781i \(0.521210\pi\)
−0.978149 + 0.207905i \(0.933336\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) −10.3492 7.74734i −1.21129 0.906758i −0.213749 0.976889i \(-0.568568\pi\)
−0.997538 + 0.0701305i \(0.977658\pi\)
\(74\) 3.61742 + 7.92104i 0.420516 + 0.920802i
\(75\) 4.92215 0.878890i 0.568361 0.101485i
\(76\) −0.412436 1.40463i −0.0473096 0.161122i
\(77\) 0.00235544 + 0.0108278i 0.000268427 + 0.00123394i
\(78\) 1.01861 + 2.73099i 0.115335 + 0.309224i
\(79\) −0.217136 0.0637570i −0.0244297 0.00717322i 0.269495 0.963002i \(-0.413143\pi\)
−0.293925 + 0.955829i \(0.594961\pi\)
\(80\) 0.670092 2.13330i 0.0749185 0.238510i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 4.67209 + 8.55630i 0.515946 + 0.944885i
\(83\) −4.39699 + 1.63999i −0.482633 + 0.180013i −0.578991 0.815334i \(-0.696553\pi\)
0.0963582 + 0.995347i \(0.469281\pi\)
\(84\) 0.517197 + 0.332382i 0.0564308 + 0.0362659i
\(85\) 9.42160 0.496488i 1.02192 0.0538517i
\(86\) −10.0331 1.44254i −1.08189 0.155553i
\(87\) −0.618386 + 1.65796i −0.0662979 + 0.177752i
\(88\) −0.0108014 + 0.0144289i −0.00115143 + 0.00153813i
\(89\) −1.41759 + 0.911027i −0.150264 + 0.0965687i −0.613612 0.789607i \(-0.710284\pi\)
0.463348 + 0.886176i \(0.346648\pi\)
\(90\) −1.81488 + 1.30623i −0.191305 + 0.137688i
\(91\) 1.79198i 0.187850i
\(92\) 0.188784 4.79211i 0.0196820 0.499612i
\(93\) 1.98053 1.98053i 0.205372 0.205372i
\(94\) 1.54357 + 1.33751i 0.159207 + 0.137954i
\(95\) −2.95160 1.41543i −0.302828 0.145220i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) −12.0907 4.50962i −1.22763 0.457882i −0.349786 0.936830i \(-0.613746\pi\)
−0.877843 + 0.478948i \(0.841018\pi\)
\(98\) 3.96843 + 5.30121i 0.400872 + 0.535503i
\(99\) 0.0172939 0.00507793i 0.00173810 0.000510352i
\(100\) −2.54359 4.30467i −0.254359 0.430467i
\(101\) −7.52637 + 16.4804i −0.748902 + 1.63987i 0.0194277 + 0.999811i \(0.493816\pi\)
−0.768329 + 0.640055i \(0.778912\pi\)
\(102\) −3.70320 + 2.02210i −0.366672 + 0.200218i
\(103\) 0.306591 4.28670i 0.0302093 0.422381i −0.959733 0.280913i \(-0.909363\pi\)
0.989943 0.141469i \(-0.0451825\pi\)
\(104\) 2.20283 1.90877i 0.216006 0.187170i
\(105\) 1.32606 0.362502i 0.129411 0.0353766i
\(106\) −1.06035 0.484244i −0.102990 0.0470340i
\(107\) −6.63134 + 1.44256i −0.641075 + 0.139457i −0.521341 0.853349i \(-0.674568\pi\)
−0.119735 + 0.992806i \(0.538204\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) 0.531525 3.69684i 0.0509109 0.354093i −0.948403 0.317066i \(-0.897302\pi\)
0.999314 0.0370268i \(-0.0117887\pi\)
\(110\) 0.00782704 + 0.0395355i 0.000746279 + 0.00376956i
\(111\) −8.61933 + 1.23927i −0.818110 + 0.117627i
\(112\) 0.130684 0.600743i 0.0123484 0.0567649i
\(113\) 5.84904 0.418332i 0.550232 0.0393533i 0.206544 0.978437i \(-0.433778\pi\)
0.343688 + 0.939084i \(0.388324\pi\)
\(114\) 1.46393 0.137109
\(115\) −7.68286 7.48156i −0.716430 0.697659i
\(116\) 1.76952 0.164296
\(117\) −2.90734 + 0.207937i −0.268784 + 0.0192238i
\(118\) −0.233192 + 1.07197i −0.0214671 + 0.0986825i
\(119\) 2.56760 0.369165i 0.235372 0.0338413i
\(120\) 1.85810 + 1.24397i 0.169621 + 0.113558i
\(121\) −1.56542 + 10.8877i −0.142311 + 0.989792i
\(122\) 3.56256 6.52434i 0.322539 0.590686i
\(123\) −9.52599 + 2.07225i −0.858930 + 0.186849i
\(124\) −2.54778 1.16353i −0.228798 0.104488i
\(125\) −10.9596 2.21083i −0.980254 0.197743i
\(126\) −0.464630 + 0.402604i −0.0413925 + 0.0358668i
\(127\) 0.558640 7.81080i 0.0495712 0.693097i −0.910530 0.413443i \(-0.864326\pi\)
0.960101 0.279653i \(-0.0902195\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) 4.21075 9.22025i 0.370736 0.811798i
\(130\) 0.122209 6.51647i 0.0107185 0.571532i
\(131\) −10.2958 + 3.02311i −0.899545 + 0.264130i −0.698634 0.715479i \(-0.746208\pi\)
−0.200911 + 0.979610i \(0.564390\pi\)
\(132\) −0.0108014 0.0144289i −0.000940137 0.00125588i
\(133\) −0.843266 0.314522i −0.0731204 0.0272725i
\(134\) −0.375072 2.60868i −0.0324013 0.225356i
\(135\) −0.742004 2.10937i −0.0638615 0.181545i
\(136\) 3.18874 + 2.76306i 0.273433 + 0.236931i
\(137\) 3.67869 3.67869i 0.314292 0.314292i −0.532278 0.846570i \(-0.678664\pi\)
0.846570 + 0.532278i \(0.178664\pi\)
\(138\) 4.54481 + 1.53123i 0.386880 + 0.130347i
\(139\) 0.208568i 0.0176905i −0.999961 0.00884525i \(-0.997184\pi\)
0.999961 0.00884525i \(-0.00281557\pi\)
\(140\) −0.803058 1.11577i −0.0678708 0.0943001i
\(141\) −1.71821 + 1.10423i −0.144699 + 0.0929926i
\(142\) −8.05589 + 10.7614i −0.676035 + 0.903077i
\(143\) −0.0183593 + 0.0492233i −0.00153528 + 0.00411626i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) 2.64675 2.94122i 0.219801 0.244255i
\(146\) −10.8756 6.98930i −0.900068 0.578438i
\(147\) −6.20451 + 2.31416i −0.511739 + 0.190869i
\(148\) 4.17328 + 7.64280i 0.343042 + 0.628234i
\(149\) 2.31784 + 2.67493i 0.189885 + 0.219139i 0.842707 0.538372i \(-0.180961\pi\)
−0.652822 + 0.757511i \(0.726415\pi\)
\(150\) 4.84691 1.22779i 0.395748 0.100249i
\(151\) 8.43988 + 2.47817i 0.686828 + 0.201671i 0.606483 0.795096i \(-0.292580\pi\)
0.0803447 + 0.996767i \(0.474398\pi\)
\(152\) −0.511590 1.37162i −0.0414954 0.111253i
\(153\) −0.896880 4.12289i −0.0725084 0.333316i
\(154\) 0.00312188 + 0.0106321i 0.000251568 + 0.000856763i
\(155\) −5.74480 + 2.49446i −0.461434 + 0.200360i
\(156\) 1.21084 + 2.65137i 0.0969446 + 0.212279i
\(157\) −11.1737 8.36452i −0.891757 0.667561i 0.0518404 0.998655i \(-0.483491\pi\)
−0.943598 + 0.331094i \(0.892582\pi\)
\(158\) −0.221131 0.0481042i −0.0175923 0.00382696i
\(159\) 0.763363 0.880968i 0.0605386 0.0698653i
\(160\) 0.516196 2.17567i 0.0408089 0.172002i
\(161\) −2.28897 1.85848i −0.180396 0.146469i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) −0.0566236 0.791701i −0.00443510 0.0620108i 0.994753 0.102310i \(-0.0326234\pi\)
−0.999188 + 0.0402993i \(0.987169\pi\)
\(164\) 5.27059 + 8.20120i 0.411564 + 0.640406i
\(165\) −0.0401391 0.00362844i −0.00312483 0.000282474i
\(166\) −4.26879 + 1.94949i −0.331323 + 0.151310i
\(167\) −11.1969 + 8.38187i −0.866439 + 0.648608i −0.937165 0.348888i \(-0.886559\pi\)
0.0707254 + 0.997496i \(0.477469\pi\)
\(168\) 0.539591 + 0.294639i 0.0416304 + 0.0227319i
\(169\) −2.43512 + 3.78911i −0.187317 + 0.291470i
\(170\) 9.36218 1.16735i 0.718046 0.0895318i
\(171\) −0.412436 + 1.40463i −0.0315397 + 0.107414i
\(172\) −10.1104 0.723111i −0.770912 0.0551367i
\(173\) 14.6515 + 1.04789i 1.11393 + 0.0796699i 0.616147 0.787631i \(-0.288693\pi\)
0.497784 + 0.867301i \(0.334147\pi\)
\(174\) −0.498533 + 1.69785i −0.0377937 + 0.128713i
\(175\) −3.05576 0.334104i −0.230993 0.0252559i
\(176\) −0.00974449 + 0.0151627i −0.000734518 + 0.00114293i
\(177\) −0.962846 0.525754i −0.0723720 0.0395181i
\(178\) −1.34898 + 1.00984i −0.101111 + 0.0756904i
\(179\) −4.52854 + 2.06812i −0.338479 + 0.154578i −0.577401 0.816460i \(-0.695933\pi\)
0.238922 + 0.971039i \(0.423206\pi\)
\(180\) −1.71707 + 1.43237i −0.127983 + 0.106762i
\(181\) −13.2807 20.6652i −0.987146 1.53603i −0.836882 0.547383i \(-0.815624\pi\)
−0.150264 0.988646i \(-0.548012\pi\)
\(182\) −0.127838 1.78741i −0.00947601 0.132492i
\(183\) 5.25637 + 5.25637i 0.388562 + 0.388562i
\(184\) −0.153563 4.79337i −0.0113208 0.353372i
\(185\) 18.9457 + 4.49502i 1.39291 + 0.330480i
\(186\) 1.83420 2.11678i 0.134490 0.155210i
\(187\) −0.0743108 0.0161653i −0.00543414 0.00118213i
\(188\) 1.63506 + 1.22399i 0.119249 + 0.0892685i
\(189\) −0.255394 0.559236i −0.0185772 0.0406784i
\(190\) −3.04506 1.20126i −0.220912 0.0871484i
\(191\) 1.69225 + 5.76327i 0.122447 + 0.417016i 0.997787 0.0664921i \(-0.0211807\pi\)
−0.875340 + 0.483508i \(0.839363\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) −5.53130 14.8300i −0.398152 1.06749i −0.969136 0.246525i \(-0.920711\pi\)
0.570985 0.820961i \(-0.306562\pi\)
\(194\) −12.3817 3.63558i −0.888951 0.261020i
\(195\) 6.21808 + 1.95316i 0.445286 + 0.139869i
\(196\) 4.33651 + 5.00460i 0.309751 + 0.357471i
\(197\) 8.02314 + 14.6933i 0.571625 + 1.04685i 0.990330 + 0.138731i \(0.0443022\pi\)
−0.418705 + 0.908122i \(0.637516\pi\)
\(198\) 0.0168875 0.00629873i 0.00120015 0.000447631i
\(199\) 16.3014 + 10.4763i 1.15557 + 0.742642i 0.970741 0.240128i \(-0.0771893\pi\)
0.184833 + 0.982770i \(0.440826\pi\)
\(200\) −2.84420 4.11224i −0.201115 0.290779i
\(201\) 2.60868 + 0.375072i 0.184002 + 0.0264555i
\(202\) −6.33149 + 16.9754i −0.445482 + 1.19438i
\(203\) 0.651949 0.870902i 0.0457579 0.0611253i
\(204\) −3.54951 + 2.28113i −0.248516 + 0.159711i
\(205\) 21.5151 + 3.50635i 1.50268 + 0.244894i
\(206\) 4.29765i 0.299432i
\(207\) −2.74963 + 3.92932i −0.191112 + 0.273107i
\(208\) 2.06105 2.06105i 0.142908 0.142908i
\(209\) 0.0199410 + 0.0172790i 0.00137935 + 0.00119521i
\(210\) 1.29682 0.456179i 0.0894894 0.0314793i
\(211\) 0.225867 + 1.57094i 0.0155493 + 0.108148i 0.996118 0.0880283i \(-0.0280566\pi\)
−0.980569 + 0.196176i \(0.937148\pi\)
\(212\) −1.09219 0.407366i −0.0750120 0.0279780i
\(213\) −8.05589 10.7614i −0.551980 0.737360i
\(214\) −6.51153 + 1.91196i −0.445119 + 0.130699i
\(215\) −16.3245 + 15.7235i −1.11332 + 1.07233i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) −1.51134 + 0.825253i −0.102596 + 0.0560218i
\(218\) 0.266442 3.72534i 0.0180457 0.252312i
\(219\) 9.77018 8.46591i 0.660208 0.572073i
\(220\) 0.0106275 + 0.0388763i 0.000716507 + 0.00262104i
\(221\) 11.1869 + 5.10891i 0.752515 + 0.343662i
\(222\) −8.50896 + 1.85101i −0.571084 + 0.124232i
\(223\) −8.21317 + 15.0413i −0.549994 + 1.00724i 0.443813 + 0.896120i \(0.353626\pi\)
−0.993807 + 0.111120i \(0.964556\pi\)
\(224\) 0.0874942 0.608535i 0.00584595 0.0406595i
\(225\) −0.187473 + 4.99648i −0.0124982 + 0.333099i
\(226\) 5.80430 0.834532i 0.386096 0.0555122i
\(227\) 4.10264 18.8595i 0.272302 1.25175i −0.614246 0.789115i \(-0.710540\pi\)
0.886548 0.462637i \(-0.153097\pi\)
\(228\) 1.46020 0.104435i 0.0967038 0.00691639i
\(229\) 25.5479 1.68825 0.844127 0.536143i \(-0.180119\pi\)
0.844127 + 0.536143i \(0.180119\pi\)
\(230\) −8.19701 6.91441i −0.540495 0.455922i
\(231\) −0.0110810 −0.000729077
\(232\) 1.76502 0.126236i 0.115879 0.00828783i
\(233\) −3.37852 + 15.5308i −0.221334 + 1.01746i 0.723606 + 0.690213i \(0.242483\pi\)
−0.944940 + 0.327243i \(0.893880\pi\)
\(234\) −2.88510 + 0.414815i −0.188605 + 0.0271173i
\(235\) 4.48008 0.886944i 0.292248 0.0578579i
\(236\) −0.156125 + 1.08587i −0.0101628 + 0.0706842i
\(237\) 0.108456 0.198621i 0.00704494 0.0129019i
\(238\) 2.53472 0.551395i 0.164302 0.0357417i
\(239\) 13.2295 + 6.04171i 0.855745 + 0.390806i 0.794461 0.607315i \(-0.207753\pi\)
0.0612836 + 0.998120i \(0.480481\pi\)
\(240\) 1.94211 + 1.10824i 0.125363 + 0.0715368i
\(241\) 1.63837 1.41966i 0.105537 0.0914482i −0.600494 0.799629i \(-0.705029\pi\)
0.706031 + 0.708181i \(0.250484\pi\)
\(242\) −0.784708 + 10.9716i −0.0504429 + 0.705284i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) 3.08804 6.76187i 0.197692 0.432884i
\(245\) 14.8047 + 0.277646i 0.945838 + 0.0177382i
\(246\) −9.35389 + 2.74655i −0.596382 + 0.175114i
\(247\) −2.55712 3.41591i −0.162706 0.217349i
\(248\) −2.62430 0.978813i −0.166643 0.0621547i
\(249\) −0.667866 4.64511i −0.0423243 0.294372i
\(250\) −11.0894 1.42335i −0.701353 0.0900208i
\(251\) 18.2331 + 15.7990i 1.15086 + 0.997227i 0.999962 + 0.00867741i \(0.00276214\pi\)
0.150899 + 0.988549i \(0.451783\pi\)
\(252\) −0.434724 + 0.434724i −0.0273851 + 0.0273851i
\(253\) 0.0438342 + 0.0745011i 0.00275583 + 0.00468384i
\(254\) 7.83075i 0.491345i
\(255\) −1.51756 + 9.31182i −0.0950335 + 0.583129i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 9.32166 12.4523i 0.581469 0.776752i −0.409287 0.912406i \(-0.634223\pi\)
0.990756 + 0.135654i \(0.0433135\pi\)
\(258\) 3.54225 9.49715i 0.220531 0.591267i
\(259\) 5.29910 + 0.761896i 0.329270 + 0.0473419i
\(260\) −0.342982 6.50859i −0.0212708 0.403645i
\(261\) −1.48862 0.956677i −0.0921432 0.0592168i
\(262\) −10.0539 + 3.74990i −0.621130 + 0.231669i
\(263\) −1.35119 2.47452i −0.0833181 0.152586i 0.832698 0.553728i \(-0.186795\pi\)
−0.916016 + 0.401142i \(0.868613\pi\)
\(264\) −0.0118032 0.0136216i −0.000726436 0.000838351i
\(265\) −2.31074 + 1.20607i −0.141948 + 0.0740885i
\(266\) −0.863555 0.253563i −0.0529479 0.0155469i
\(267\) −0.588878 1.57884i −0.0360387 0.0966236i
\(268\) −0.560218 2.57528i −0.0342207 0.157310i
\(269\) 2.74506 + 9.34880i 0.167369 + 0.570007i 0.999872 + 0.0159863i \(0.00508881\pi\)
−0.832503 + 0.554020i \(0.813093\pi\)
\(270\) −0.890594 2.05106i −0.0541998 0.124823i
\(271\) −7.61637 16.6775i −0.462662 1.01309i −0.986873 0.161499i \(-0.948367\pi\)
0.524211 0.851588i \(-0.324360\pi\)
\(272\) 3.37773 + 2.52854i 0.204805 + 0.153315i
\(273\) 1.75103 + 0.380913i 0.105977 + 0.0230539i
\(274\) 3.40688 3.93175i 0.205817 0.237526i
\(275\) 0.0805145 + 0.0404844i 0.00485521 + 0.00244130i
\(276\) 4.64247 + 1.20311i 0.279444 + 0.0724185i
\(277\) 3.05207 + 3.05207i 0.183381 + 0.183381i 0.792827 0.609446i \(-0.208608\pi\)
−0.609446 + 0.792827i \(0.708608\pi\)
\(278\) −0.0148791 0.208036i −0.000892387 0.0124772i
\(279\) 1.51428 + 2.35626i 0.0906575 + 0.141066i
\(280\) −0.880611 1.05564i −0.0526265 0.0630866i
\(281\) −15.5516 + 7.10218i −0.927731 + 0.423680i −0.821207 0.570630i \(-0.806699\pi\)
−0.106523 + 0.994310i \(0.533972\pi\)
\(282\) −1.63506 + 1.22399i −0.0973662 + 0.0728874i
\(283\) 3.99262 + 2.18013i 0.237336 + 0.129595i 0.593516 0.804822i \(-0.297739\pi\)
−0.356180 + 0.934417i \(0.615921\pi\)
\(284\) −7.26765 + 11.3087i −0.431256 + 0.671047i
\(285\) 2.01049 2.58328i 0.119091 0.153020i
\(286\) −0.0148010 + 0.0504076i −0.000875202 + 0.00298066i
\(287\) 5.97821 + 0.427570i 0.352883 + 0.0252387i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) −0.226121 + 0.770097i −0.0133012 + 0.0452998i
\(290\) 2.43019 3.12255i 0.142705 0.183362i
\(291\) 6.97663 10.8558i 0.408977 0.636381i
\(292\) −11.3465 6.19564i −0.664001 0.362572i
\(293\) −2.64782 + 1.98213i −0.154687 + 0.115798i −0.673818 0.738897i \(-0.735347\pi\)
0.519130 + 0.854695i \(0.326256\pi\)
\(294\) −6.02361 + 2.75089i −0.351304 + 0.160435i
\(295\) 1.57136 + 1.88369i 0.0914882 + 0.109672i
\(296\) 4.70788 + 7.32560i 0.273640 + 0.425792i
\(297\) 0.00128581 + 0.0179780i 7.46105e−5 + 0.00104319i
\(298\) 2.50276 + 2.50276i 0.144981 + 0.144981i
\(299\) −4.36571 13.2795i −0.252476 0.767974i
\(300\) 4.74697 1.57044i 0.274066 0.0906693i
\(301\) −4.08089 + 4.70960i −0.235219 + 0.271457i
\(302\) 8.59517 + 1.86976i 0.494596 + 0.107593i
\(303\) −14.5040 10.8575i −0.833232 0.623749i
\(304\) −0.608137 1.33163i −0.0348790 0.0763744i
\(305\) −6.62035 15.2468i −0.379080 0.873030i
\(306\) −1.18872 4.04840i −0.0679545 0.231432i
\(307\) −2.45848 11.3015i −0.140313 0.645009i −0.992549 0.121850i \(-0.961117\pi\)
0.852235 0.523158i \(-0.175246\pi\)
\(308\) 0.00387241 + 0.0103823i 0.000220651 + 0.000591589i
\(309\) 4.12357 + 1.21079i 0.234582 + 0.0688794i
\(310\) −5.55221 + 2.89794i −0.315344 + 0.164592i
\(311\) 3.63731 + 4.19768i 0.206253 + 0.238029i 0.849446 0.527675i \(-0.176936\pi\)
−0.643193 + 0.765704i \(0.722391\pi\)
\(312\) 1.39690 + 2.55823i 0.0790839 + 0.144831i
\(313\) 7.22248 2.69385i 0.408239 0.152265i −0.136951 0.990578i \(-0.543730\pi\)
0.545190 + 0.838313i \(0.316458\pi\)
\(314\) −11.7419 7.54608i −0.662636 0.425850i
\(315\) 0.0723429 + 1.37281i 0.00407606 + 0.0773493i
\(316\) −0.224000 0.0322063i −0.0126010 0.00181175i
\(317\) 9.02545 24.1982i 0.506920 1.35910i −0.391585 0.920142i \(-0.628073\pi\)
0.898505 0.438963i \(-0.144654\pi\)
\(318\) 0.698571 0.933181i 0.0391739 0.0523302i
\(319\) −0.0268308 + 0.0172431i −0.00150224 + 0.000965429i
\(320\) 0.359671 2.20695i 0.0201062 0.123372i
\(321\) 6.78643i 0.378781i
\(322\) −2.41572 1.69045i −0.134623 0.0942052i
\(323\) 4.36763 4.36763i 0.243021 0.243021i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) −11.3313 9.16508i −0.628547 0.508387i
\(326\) −0.112959 0.785644i −0.00625620 0.0435128i
\(327\) 3.49937 + 1.30520i 0.193516 + 0.0721776i
\(328\) 5.84223 + 7.80430i 0.322583 + 0.430920i
\(329\) 1.20481 0.353765i 0.0664235 0.0195037i
\(330\) −0.0402957 0.000755703i −0.00221821 4.16001e-5i
\(331\) 4.86105 10.6442i 0.267188 0.585059i −0.727717 0.685877i \(-0.759419\pi\)
0.994905 + 0.100818i \(0.0321460\pi\)
\(332\) −4.11884 + 2.24906i −0.226051 + 0.123433i
\(333\) 0.621219 8.68578i 0.0340426 0.475978i
\(334\) −10.5704 + 9.15928i −0.578385 + 0.501174i
\(335\) −5.11845 2.92079i −0.279651 0.159580i
\(336\) 0.559236 + 0.255394i 0.0305088 + 0.0139329i
\(337\) 0.504184 0.109678i 0.0274646 0.00597457i −0.198812 0.980038i \(-0.563708\pi\)
0.226277 + 0.974063i \(0.427345\pi\)
\(338\) −2.15860 + 3.95318i −0.117412 + 0.215025i
\(339\) −0.834532 + 5.80430i −0.0453255 + 0.315246i
\(340\) 9.25504 1.83227i 0.501925 0.0993687i
\(341\) 0.0499694 0.00718451i 0.00270599 0.000389063i
\(342\) −0.311180 + 1.43047i −0.0168267 + 0.0773510i
\(343\) 8.35339 0.597446i 0.451041 0.0322591i
\(344\) −10.1362 −0.546509
\(345\) 8.94369 5.91696i 0.481512 0.318559i
\(346\) 14.6889 0.789680
\(347\) 6.13116 0.438509i 0.329138 0.0235404i 0.0942074 0.995553i \(-0.469968\pi\)
0.234930 + 0.972012i \(0.424514\pi\)
\(348\) −0.376140 + 1.72909i −0.0201632 + 0.0926887i
\(349\) 6.64224 0.955009i 0.355551 0.0511205i 0.0377747 0.999286i \(-0.487973\pi\)
0.317776 + 0.948166i \(0.397064\pi\)
\(350\) −3.07180 0.115257i −0.164195 0.00616076i
\(351\) 0.414815 2.88510i 0.0221412 0.153995i
\(352\) −0.00863796 + 0.0158192i −0.000460405 + 0.000843169i
\(353\) −11.9449 + 2.59845i −0.635761 + 0.138301i −0.518884 0.854845i \(-0.673652\pi\)
−0.116878 + 0.993146i \(0.537289\pi\)
\(354\) −0.997900 0.455726i −0.0530378 0.0242215i
\(355\) 7.92624 + 28.9948i 0.420681 + 1.53889i
\(356\) −1.27350 + 1.10350i −0.0674956 + 0.0584853i
\(357\) −0.185054 + 2.58740i −0.00979411 + 0.136940i
\(358\) −4.36947 + 2.38591i −0.230933 + 0.126099i
\(359\) −2.63193 + 5.76312i −0.138908 + 0.304166i −0.966282 0.257485i \(-0.917106\pi\)
0.827374 + 0.561651i \(0.189834\pi\)
\(360\) −1.61051 + 1.55121i −0.0848812 + 0.0817561i
\(361\) 16.1741 4.74914i 0.851268 0.249955i
\(362\) −14.7211 19.6651i −0.773723 1.03357i
\(363\) −10.3061 3.84399i −0.540932 0.201757i
\(364\) −0.255025 1.77374i −0.0133670 0.0929692i
\(365\) −27.2695 + 9.59248i −1.42735 + 0.502094i
\(366\) 5.61796 + 4.86799i 0.293656 + 0.254454i
\(367\) −20.0339 + 20.0339i −1.04576 + 1.04576i −0.0468593 + 0.998902i \(0.514921\pi\)
−0.998902 + 0.0468593i \(0.985079\pi\)
\(368\) −0.495127 4.77020i −0.0258103 0.248664i
\(369\) 9.74878i 0.507501i
\(370\) 19.2181 + 3.13200i 0.999099 + 0.162825i
\(371\) −0.602890 + 0.387454i −0.0313005 + 0.0201156i
\(372\) 1.67851 2.24223i 0.0870269 0.116254i
\(373\) −7.10590 + 19.0517i −0.367929 + 0.986457i 0.612653 + 0.790352i \(0.290102\pi\)
−0.980583 + 0.196105i \(0.937171\pi\)
\(374\) −0.0752747 0.0108229i −0.00389236 0.000559637i
\(375\) 4.48993 10.2392i 0.231859 0.528748i
\(376\) 1.71821 + 1.10423i 0.0886099 + 0.0569461i
\(377\) 4.83256 1.80245i 0.248889 0.0928309i
\(378\) −0.294639 0.539591i −0.0151546 0.0277536i
\(379\) 22.0989 + 25.5035i 1.13514 + 1.31003i 0.944554 + 0.328355i \(0.106494\pi\)
0.190589 + 0.981670i \(0.438960\pi\)
\(380\) −3.12300 0.980965i −0.160206 0.0503224i
\(381\) 7.51355 + 2.20618i 0.384931 + 0.113026i
\(382\) 2.09908 + 5.62786i 0.107398 + 0.287946i
\(383\) −6.15549 28.2963i −0.314531 1.44587i −0.814668 0.579928i \(-0.803081\pi\)
0.500137 0.865946i \(-0.333283\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) 0.0230492 + 0.00909277i 0.00117470 + 0.000463410i
\(386\) −6.57517 14.3976i −0.334667 0.732819i
\(387\) 8.11448 + 6.07442i 0.412482 + 0.308780i
\(388\) −12.6095 2.74302i −0.640149 0.139256i
\(389\) 8.81064 10.1680i 0.446717 0.515539i −0.487072 0.873362i \(-0.661935\pi\)
0.933790 + 0.357822i \(0.116481\pi\)
\(390\) 6.34157 + 1.50459i 0.321118 + 0.0761880i
\(391\) 18.1279 8.99104i 0.916768 0.454696i
\(392\) 4.68248 + 4.68248i 0.236501 + 0.236501i
\(393\) −0.765499 10.7031i −0.0386143 0.539899i
\(394\) 9.05090 + 14.0835i 0.455978 + 0.709515i
\(395\) −0.388578 + 0.324150i −0.0195515 + 0.0163097i
\(396\) 0.0163952 0.00748742i 0.000823888 0.000376257i
\(397\) 11.2082 8.39036i 0.562524 0.421100i −0.279811 0.960055i \(-0.590272\pi\)
0.842334 + 0.538955i \(0.181181\pi\)
\(398\) 17.0072 + 9.28664i 0.852495 + 0.465497i
\(399\) 0.486583 0.757138i 0.0243596 0.0379043i
\(400\) −3.13032 3.89886i −0.156516 0.194943i
\(401\) 1.61309 5.49367i 0.0805537 0.274341i −0.909360 0.416009i \(-0.863428\pi\)
0.989914 + 0.141668i \(0.0452467\pi\)
\(402\) 2.62879 + 0.188015i 0.131112 + 0.00937734i
\(403\) −8.14316 0.582410i −0.405640 0.0290119i
\(404\) −5.10435 + 17.3838i −0.253951 + 0.864877i
\(405\) 2.21889 0.276669i 0.110257 0.0137478i
\(406\) 0.588159 0.915193i 0.0291898 0.0454203i
\(407\) −0.137753 0.0752190i −0.00682818 0.00372847i
\(408\) −3.37773 + 2.52854i −0.167223 + 0.125181i
\(409\) −25.4807 + 11.6366i −1.25994 + 0.575395i −0.929636 0.368480i \(-0.879878\pi\)
−0.330303 + 0.943875i \(0.607151\pi\)
\(410\) 21.7104 + 1.96255i 1.07220 + 0.0969233i
\(411\) 2.81266 + 4.37658i 0.138738 + 0.215881i
\(412\) −0.306591 4.28670i −0.0151047 0.211191i
\(413\) 0.476909 + 0.476909i 0.0234671 + 0.0234671i
\(414\) −2.46231 + 4.11546i −0.121016 + 0.202264i
\(415\) −2.42245 + 10.2102i −0.118913 + 0.501197i
\(416\) 1.90877 2.20283i 0.0935850 0.108003i
\(417\) 0.203801 + 0.0443343i 0.00998020 + 0.00217106i
\(418\) 0.0211229 + 0.0158124i 0.00103315 + 0.000773409i
\(419\) 2.00101 + 4.38161i 0.0977559 + 0.214056i 0.952192 0.305502i \(-0.0988242\pi\)
−0.854436 + 0.519557i \(0.826097\pi\)
\(420\) 1.26098 0.547531i 0.0615294 0.0267168i
\(421\) 1.48573 + 5.05993i 0.0724101 + 0.246606i 0.987742 0.156094i \(-0.0498901\pi\)
−0.915332 + 0.402700i \(0.868072\pi\)
\(422\) 0.337361 + 1.55082i 0.0164225 + 0.0754929i
\(423\) −0.713759 1.91366i −0.0347042 0.0930455i
\(424\) −1.11847 0.328412i −0.0543177 0.0159491i
\(425\) 10.7977 18.1239i 0.523763 0.879139i
\(426\) −8.80307 10.1593i −0.426510 0.492219i
\(427\) −2.19024 4.01112i −0.105993 0.194112i
\(428\) −6.35854 + 2.37161i −0.307352 + 0.114636i
\(429\) −0.0441958 0.0284029i −0.00213379 0.00137131i
\(430\) −15.1612 + 16.8480i −0.731138 + 0.812482i
\(431\) 24.4618 + 3.51707i 1.17828 + 0.169411i 0.703502 0.710693i \(-0.251619\pi\)
0.474780 + 0.880105i \(0.342528\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) 24.1739 32.2926i 1.16172 1.55188i 0.383932 0.923361i \(-0.374570\pi\)
0.777793 0.628521i \(-0.216339\pi\)
\(434\) −1.44861 + 0.930968i −0.0695357 + 0.0446879i
\(435\) 2.31140 + 3.21147i 0.110823 + 0.153978i
\(436\) 3.73486i 0.178867i
\(437\) −7.01530 0.276365i −0.335587 0.0132203i
\(438\) 9.14134 9.14134i 0.436790 0.436790i
\(439\) −9.33086 8.08524i −0.445338 0.385887i 0.403123 0.915146i \(-0.367925\pi\)
−0.848461 + 0.529259i \(0.822470\pi\)
\(440\) 0.0133738 + 0.0380191i 0.000637573 + 0.00181249i
\(441\) −0.942413 6.55463i −0.0448768 0.312125i
\(442\) 11.5229 + 4.29782i 0.548089 + 0.204427i
\(443\) 7.58563 + 10.1332i 0.360404 + 0.481444i 0.943694 0.330821i \(-0.107326\pi\)
−0.583289 + 0.812264i \(0.698235\pi\)
\(444\) −8.35523 + 2.45332i −0.396522 + 0.116429i
\(445\) −0.0706518 + 3.76731i −0.00334922 + 0.178588i
\(446\) −7.11921 + 15.5889i −0.337104 + 0.738155i
\(447\) −3.10649 + 1.69627i −0.146932 + 0.0802309i
\(448\) 0.0438588 0.613227i 0.00207214 0.0289722i
\(449\) 6.70209 5.80739i 0.316291 0.274068i −0.482217 0.876052i \(-0.660168\pi\)
0.798508 + 0.601984i \(0.205623\pi\)
\(450\) 0.169449 + 4.99713i 0.00798792 + 0.235567i
\(451\) −0.159833 0.0729932i −0.00752624 0.00343712i
\(452\) 5.72997 1.24648i 0.269515 0.0586295i
\(453\) −4.21557 + 7.72023i −0.198065 + 0.362728i
\(454\) 2.74676 19.1042i 0.128912 0.896603i
\(455\) −3.32968 2.22917i −0.156098 0.104505i
\(456\) 1.44903 0.208338i 0.0678568 0.00975634i
\(457\) 3.43892 15.8085i 0.160866 0.739489i −0.824059 0.566504i \(-0.808295\pi\)
0.984925 0.172984i \(-0.0553409\pi\)
\(458\) 25.4828 1.82257i 1.19073 0.0851630i
\(459\) 4.21931 0.196941
\(460\) −8.66939 6.31202i −0.404213 0.294299i
\(461\) 32.3954 1.50881 0.754403 0.656412i \(-0.227927\pi\)
0.754403 + 0.656412i \(0.227927\pi\)
\(462\) −0.0110528 0.000790510i −0.000514221 3.67778e-5i
\(463\) −8.53834 + 39.2501i −0.396810 + 1.82411i 0.152271 + 0.988339i \(0.451341\pi\)
−0.549082 + 0.835769i \(0.685022\pi\)
\(464\) 1.75151 0.251830i 0.0813120 0.0116909i
\(465\) −1.21631 6.14375i −0.0564050 0.284910i
\(466\) −2.26195 + 15.7322i −0.104783 + 0.728782i
\(467\) 12.7779 23.4009i 0.591289 1.08286i −0.395131 0.918625i \(-0.629301\pi\)
0.986420 0.164240i \(-0.0525172\pi\)
\(468\) −2.84816 + 0.619578i −0.131656 + 0.0286400i
\(469\) −1.47387 0.673094i −0.0680570 0.0310806i
\(470\) 4.40539 1.20429i 0.203206 0.0555497i
\(471\) 10.5485 9.14033i 0.486049 0.421164i
\(472\) −0.0782617 + 1.09424i −0.00360229 + 0.0503666i
\(473\) 0.160348 0.0875564i 0.00737279 0.00402585i
\(474\) 0.0940097 0.205853i 0.00431801 0.00945512i
\(475\) −6.30171 + 3.72363i −0.289142 + 0.170852i
\(476\) 2.48893 0.730816i 0.114080 0.0334969i
\(477\) 0.698571 + 0.933181i 0.0319853 + 0.0427274i
\(478\) 13.6268 + 5.08253i 0.623275 + 0.232470i
\(479\) −4.20032 29.2139i −0.191917 1.33481i −0.826926 0.562310i \(-0.809913\pi\)
0.635009 0.772505i \(-0.280996\pi\)
\(480\) 2.01622 + 0.966872i 0.0920276 + 0.0441315i
\(481\) 19.1822 + 16.6215i 0.874633 + 0.757874i
\(482\) 1.53292 1.53292i 0.0698227 0.0698227i
\(483\) 2.30256 1.84161i 0.104770 0.0837961i
\(484\) 10.9997i 0.499985i
\(485\) −23.4198 + 16.8560i −1.06344 + 0.765392i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) −19.1072 + 25.5243i −0.865832 + 1.15662i 0.120642 + 0.992696i \(0.461505\pi\)
−0.986474 + 0.163920i \(0.947586\pi\)
\(488\) 2.59779 6.96494i 0.117596 0.315288i
\(489\) 0.785644 + 0.112959i 0.0355281 + 0.00510817i
\(490\) 14.7868 0.779217i 0.667999 0.0352014i
\(491\) 4.83201 + 3.10534i 0.218066 + 0.140142i 0.645113 0.764087i \(-0.276810\pi\)
−0.427048 + 0.904229i \(0.640446\pi\)
\(492\) −9.13412 + 3.40685i −0.411798 + 0.153593i
\(493\) 3.57816 + 6.55291i 0.161152 + 0.295128i
\(494\) −2.79429 3.22479i −0.125721 0.145090i
\(495\) 0.0120777 0.0384505i 0.000542852 0.00172822i
\(496\) −2.68744 0.789104i −0.120670 0.0354318i
\(497\) 2.88813 + 7.74338i 0.129550 + 0.347338i
\(498\) −0.997543 4.58563i −0.0447010 0.205487i
\(499\) 9.50443 + 32.3691i 0.425477 + 1.44904i 0.841783 + 0.539816i \(0.181506\pi\)
−0.416307 + 0.909224i \(0.636676\pi\)
\(500\) −11.1627 0.628621i −0.499209 0.0281128i
\(501\) −5.81025 12.7227i −0.259583 0.568407i
\(502\) 19.3137 + 14.4581i 0.862013 + 0.645295i
\(503\) −24.3451 5.29595i −1.08549 0.236135i −0.365987 0.930620i \(-0.619269\pi\)
−0.719507 + 0.694485i \(0.755632\pi\)
\(504\) −0.402604 + 0.464630i −0.0179334 + 0.0206962i
\(505\) 21.2598 + 34.4859i 0.946048 + 1.53460i
\(506\) 0.0490374 + 0.0711841i 0.00217998 + 0.00316452i
\(507\) −3.18490 3.18490i −0.141446 0.141446i
\(508\) −0.558640 7.81080i −0.0247856 0.346548i
\(509\) −13.4669 20.9549i −0.596909 0.928809i −0.999907 0.0136081i \(-0.995668\pi\)
0.402998 0.915201i \(-0.367968\pi\)
\(510\) −0.849399 + 9.39636i −0.0376120 + 0.416078i
\(511\) −7.22969 + 3.30169i −0.319823 + 0.146058i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) −1.28486 0.701585i −0.0567278 0.0309757i
\(514\) 8.40957 13.0855i 0.370930 0.577179i
\(515\) −7.58374 5.90220i −0.334180 0.260082i
\(516\) 2.85571 9.72565i 0.125716 0.428148i
\(517\) −0.0367190 0.00262620i −0.00161490 0.000115500i
\(518\) 5.33996 + 0.381921i 0.234624 + 0.0167807i
\(519\) −4.13834 + 14.0939i −0.181653 + 0.618653i
\(520\) −0.806425 6.46754i −0.0353641 0.283620i
\(521\) −10.9030 + 16.9654i −0.477669 + 0.743268i −0.993550 0.113392i \(-0.963828\pi\)
0.515881 + 0.856660i \(0.327465\pi\)
\(522\) −1.55307 0.848043i −0.0679762 0.0371178i
\(523\) 3.22347 2.41306i 0.140953 0.105516i −0.526475 0.850191i \(-0.676486\pi\)
0.667427 + 0.744675i \(0.267396\pi\)
\(524\) −9.76073 + 4.45758i −0.426400 + 0.194730i
\(525\) 0.976016 2.91490i 0.0425968 0.127217i
\(526\) −1.52428 2.37183i −0.0664618 0.103417i
\(527\) −0.843076 11.7877i −0.0367250 0.513482i
\(528\) −0.0127449 0.0127449i −0.000554649 0.000554649i
\(529\) −21.4902 8.19582i −0.934356 0.356340i
\(530\) −2.21881 + 1.36785i −0.0963791 + 0.0594155i
\(531\) 0.718406 0.829085i 0.0311762 0.0359792i
\(532\) −0.879443 0.191311i −0.0381287 0.00829439i
\(533\) 22.7477 + 17.0287i 0.985313 + 0.737596i
\(534\) −0.700011 1.53281i −0.0302924 0.0663312i
\(535\) −5.56875 + 14.1162i −0.240758 + 0.610296i
\(536\) −0.742509 2.52875i −0.0320715 0.109225i
\(537\) −1.05824 4.86466i −0.0456665 0.209926i
\(538\) 3.40500 + 9.12915i 0.146800 + 0.393586i
\(539\) −0.114520 0.0336262i −0.00493274 0.00144838i
\(540\) −1.03465 1.98230i −0.0445241 0.0853046i
\(541\) −12.8893 14.8751i −0.554156 0.639530i 0.407690 0.913120i \(-0.366334\pi\)
−0.961846 + 0.273590i \(0.911789\pi\)
\(542\) −8.78673 16.0917i −0.377422 0.691197i
\(543\) 23.0159 8.58449i 0.987707 0.368396i
\(544\) 3.54951 + 2.28113i 0.152184 + 0.0978028i
\(545\) −6.20790 5.58638i −0.265917 0.239294i
\(546\) 1.77374 + 0.255025i 0.0759090 + 0.0109141i
\(547\) 11.6487 31.2313i 0.498060 1.33535i −0.408300 0.912848i \(-0.633878\pi\)
0.906361 0.422504i \(-0.138849\pi\)
\(548\) 3.11771 4.16478i 0.133182 0.177911i
\(549\) −6.25357 + 4.01893i −0.266896 + 0.171524i
\(550\) 0.0831975 + 0.0346375i 0.00354755 + 0.00147695i
\(551\) 2.59045i 0.110357i
\(552\) 4.71647 + 0.868851i 0.200746 + 0.0369808i
\(553\) −0.0983795 + 0.0983795i −0.00418352 + 0.00418352i
\(554\) 3.26202 + 2.82656i 0.138590 + 0.120089i
\(555\) −8.41948 + 17.5572i −0.357387 + 0.745262i
\(556\) −0.0296823 0.206445i −0.00125881 0.00875522i
\(557\) 34.1973 + 12.7549i 1.44899 + 0.540444i 0.946090 0.323903i \(-0.104995\pi\)
0.502896 + 0.864347i \(0.332268\pi\)
\(558\) 1.67851 + 2.24223i 0.0710572 + 0.0949213i
\(559\) −28.3480 + 8.32373i −1.19899 + 0.352056i
\(560\) −0.953675 0.990129i −0.0403001 0.0418406i
\(561\) 0.0315918 0.0691763i 0.00133381 0.00292063i
\(562\) −15.0053 + 8.19352i −0.632961 + 0.345623i
\(563\) 3.14038 43.9083i 0.132351 1.85051i −0.306396 0.951904i \(-0.599123\pi\)
0.438748 0.898610i \(-0.355422\pi\)
\(564\) −1.54357 + 1.33751i −0.0649961 + 0.0563195i
\(565\) 6.49872 11.3885i 0.273403 0.479118i
\(566\) 4.13797 + 1.88975i 0.173932 + 0.0794320i
\(567\) 0.600743 0.130684i 0.0252288 0.00548820i
\(568\) −6.44238 + 11.7983i −0.270316 + 0.495048i
\(569\) 1.13752 7.91166i 0.0476875 0.331674i −0.951986 0.306140i \(-0.900962\pi\)
0.999674 0.0255338i \(-0.00812854\pi\)
\(570\) 1.82108 2.72012i 0.0762766 0.113933i
\(571\) −26.9843 + 3.87975i −1.12926 + 0.162363i −0.681518 0.731802i \(-0.738680\pi\)
−0.447739 + 0.894164i \(0.647771\pi\)
\(572\) −0.0111673 + 0.0513350i −0.000466926 + 0.00214643i
\(573\) −5.99127 + 0.428504i −0.250289 + 0.0179010i
\(574\) 5.99348 0.250163
\(575\) −23.4587 + 4.96871i −0.978297 + 0.207209i
\(576\) −1.00000 −0.0416667
\(577\) 19.7474 1.41236i 0.822097 0.0587975i 0.346048 0.938217i \(-0.387523\pi\)
0.476048 + 0.879419i \(0.342069\pi\)
\(578\) −0.170607 + 0.784266i −0.00709630 + 0.0326212i
\(579\) 15.6668 2.25255i 0.651092 0.0936129i
\(580\) 2.20123 3.28796i 0.0914013 0.136525i
\(581\) −0.410600 + 2.85578i −0.0170345 + 0.118478i
\(582\) 6.18441 11.3259i 0.256352 0.469473i
\(583\) 0.0205302 0.00446606i 0.000850272 0.000184965i
\(584\) −11.7595 5.37040i −0.486613 0.222229i
\(585\) −3.23027 + 5.66080i −0.133555 + 0.234045i
\(586\) −2.49967 + 2.16598i −0.103260 + 0.0894757i
\(587\) 2.27297 31.7802i 0.0938153 1.31171i −0.704601 0.709604i \(-0.748874\pi\)
0.798416 0.602106i \(-0.205672\pi\)
\(588\) −5.81202 + 3.17360i −0.239684 + 0.130877i
\(589\) −1.70333 + 3.72977i −0.0701844 + 0.153682i
\(590\) 1.70174 + 1.76679i 0.0700595 + 0.0727375i
\(591\) −16.0629 + 4.71650i −0.660741 + 0.194011i
\(592\) 5.21849 + 6.97108i 0.214479 + 0.286510i
\(593\) −22.9919 8.57553i −0.944164 0.352155i −0.170218 0.985406i \(-0.554447\pi\)
−0.773946 + 0.633251i \(0.781720\pi\)
\(594\) 0.00256508 + 0.0178405i 0.000105246 + 0.000732004i
\(595\) 2.50807 5.23010i 0.102821 0.214413i
\(596\) 2.67493 + 2.31784i 0.109569 + 0.0949423i
\(597\) −13.7020 + 13.7020i −0.560784 + 0.560784i
\(598\) −5.30194 12.9342i −0.216813 0.528920i
\(599\) 14.9670i 0.611535i −0.952106 0.305768i \(-0.901087\pi\)
0.952106 0.305768i \(-0.0989131\pi\)
\(600\) 4.62284 1.90508i 0.188727 0.0777747i
\(601\) −31.3632 + 20.1559i −1.27933 + 0.822176i −0.990805 0.135296i \(-0.956801\pi\)
−0.288526 + 0.957472i \(0.593165\pi\)
\(602\) −3.73451 + 4.98872i −0.152207 + 0.203325i
\(603\) −0.921016 + 2.46934i −0.0375067 + 0.100559i
\(604\) 8.70666 + 1.25183i 0.354269 + 0.0509362i
\(605\) 18.2831 + 16.4527i 0.743316 + 0.668897i
\(606\) −15.2416 9.79517i −0.619147 0.397902i
\(607\) −29.9092 + 11.1555i −1.21398 + 0.452790i −0.873203 0.487356i \(-0.837961\pi\)
−0.340773 + 0.940146i \(0.610689\pi\)
\(608\) −0.701585 1.28486i −0.0284530 0.0521078i
\(609\) 0.712418 + 0.822174i 0.0288686 + 0.0333162i
\(610\) −7.69118 14.7357i −0.311407 0.596630i
\(611\) 5.71209 + 1.67722i 0.231086 + 0.0678531i
\(612\) −1.47450 3.95328i −0.0596031 0.159802i
\(613\) −1.90106 8.73904i −0.0767831 0.352966i 0.922686 0.385553i \(-0.125989\pi\)
−0.999469 + 0.0325864i \(0.989626\pi\)
\(614\) −3.25846 11.0973i −0.131501 0.447850i
\(615\) −7.99958 + 20.2781i −0.322574 + 0.817691i
\(616\) 0.00460322 + 0.0100796i 0.000185469 + 0.000406120i
\(617\) 10.3043 + 7.71373i 0.414837 + 0.310543i 0.786232 0.617932i \(-0.212029\pi\)
−0.371394 + 0.928475i \(0.621120\pi\)
\(618\) 4.19944 + 0.913532i 0.168926 + 0.0367476i
\(619\) 13.4371 15.5072i 0.540082 0.623287i −0.418462 0.908234i \(-0.637431\pi\)
0.958543 + 0.284947i \(0.0919760\pi\)
\(620\) −5.33133 + 3.28664i −0.214111 + 0.131995i
\(621\) −3.25505 3.52203i −0.130621 0.141334i
\(622\) 3.92750 + 3.92750i 0.157479 + 0.157479i
\(623\) 0.0739060 + 1.03334i 0.00296098 + 0.0413999i
\(624\) 1.57584 + 2.45206i 0.0630842 + 0.0981609i
\(625\) −17.7413 + 17.6138i −0.709653 + 0.704552i
\(626\) 7.01190 3.20223i 0.280252 0.127987i
\(627\) −0.0211229 + 0.0158124i −0.000843566 + 0.000631486i
\(628\) −12.2503 6.68920i −0.488842 0.266928i
\(629\) −19.8640 + 30.9090i −0.792030 + 1.23242i
\(630\) 0.170094 + 1.36416i 0.00677671 + 0.0543493i
\(631\) −9.89244 + 33.6905i −0.393812 + 1.34120i 0.489332 + 0.872097i \(0.337240\pi\)
−0.883144 + 0.469102i \(0.844578\pi\)
\(632\) −0.225727 0.0161443i −0.00897892 0.000642185i
\(633\) −1.58305 0.113222i −0.0629206 0.00450017i
\(634\) 7.27618 24.7804i 0.288974 0.984155i
\(635\) −13.8183 10.7544i −0.548364 0.426775i
\(636\) 0.630218 0.980639i 0.0249898 0.0388849i
\(637\) 16.9407 + 9.25031i 0.671214 + 0.366511i
\(638\) −0.0255323 + 0.0191133i −0.00101083 + 0.000756701i
\(639\) 12.2279 5.58429i 0.483727 0.220911i
\(640\) 0.201312 2.22699i 0.00795756 0.0880294i
\(641\) −24.9721 38.8574i −0.986340 1.53478i −0.837878 0.545857i \(-0.816204\pi\)
−0.148462 0.988918i \(-0.547432\pi\)
\(642\) −0.484138 6.76914i −0.0191074 0.267156i
\(643\) 3.83532 + 3.83532i 0.151250 + 0.151250i 0.778676 0.627426i \(-0.215891\pi\)
−0.627426 + 0.778676i \(0.715891\pi\)
\(644\) −2.53016 1.51381i −0.0997022 0.0596525i
\(645\) −11.8941 19.2937i −0.468330 0.759688i
\(646\) 4.04492 4.66809i 0.159145 0.183663i
\(647\) −35.3137 7.68203i −1.38833 0.302012i −0.544560 0.838722i \(-0.683303\pi\)
−0.843767 + 0.536710i \(0.819667\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) −0.00821398 0.0179861i −0.000322427 0.000706016i
\(650\) −11.9562 8.33337i −0.468962 0.326862i
\(651\) −0.485135 1.65222i −0.0190140 0.0647556i
\(652\) −0.168718 0.775584i −0.00660751 0.0303742i
\(653\) 15.7848 + 42.3207i 0.617707 + 1.65614i 0.747234 + 0.664561i \(0.231381\pi\)
−0.129527 + 0.991576i \(0.541346\pi\)
\(654\) 3.58357 + 1.05223i 0.140129 + 0.0411455i
\(655\) −7.19037 + 22.8912i −0.280951 + 0.894434i
\(656\) 6.38409 + 7.36764i 0.249257 + 0.287658i
\(657\) 6.19564 + 11.3465i 0.241715 + 0.442668i
\(658\) 1.17651 0.438814i 0.0458650 0.0171068i
\(659\) −12.2866 7.89614i −0.478619 0.307590i 0.278995 0.960293i \(-0.409999\pi\)
−0.757614 + 0.652703i \(0.773635\pi\)
\(660\) −0.0402469 + 0.00212089i −0.00156661 + 8.25553e-5i
\(661\) −11.4725 1.64949i −0.446227 0.0641578i −0.0844615 0.996427i \(-0.526917\pi\)
−0.361766 + 0.932269i \(0.617826\pi\)
\(662\) 4.08932 10.9639i 0.158936 0.426123i
\(663\) −7.37011 + 9.84531i −0.286231 + 0.382360i
\(664\) −3.94790 + 2.53716i −0.153208 + 0.0984610i
\(665\) −1.63341 + 1.17562i −0.0633409 + 0.0455885i
\(666\) 8.70796i 0.337427i
\(667\) 2.70955 8.04216i 0.104914 0.311394i
\(668\) −9.89003 + 9.89003i −0.382657 + 0.382657i
\(669\) −12.9517 11.2227i −0.500742 0.433896i
\(670\) −5.31378 2.54820i −0.205289 0.0984455i
\(671\) 0.0190678 + 0.132620i 0.000736106 + 0.00511973i
\(672\) 0.576030 + 0.214848i 0.0222208 + 0.00828795i
\(673\) 19.1478 + 25.5785i 0.738094 + 0.985978i 0.999783 + 0.0208260i \(0.00662960\pi\)
−0.261689 + 0.965152i \(0.584279\pi\)
\(674\) 0.495075 0.145367i 0.0190696 0.00559933i
\(675\) −4.84245 1.24527i −0.186386 0.0479304i
\(676\) −1.87108 + 4.09710i −0.0719647 + 0.157581i
\(677\) 19.5718 10.6870i 0.752204 0.410734i −0.0569152 0.998379i \(-0.518126\pi\)
0.809119 + 0.587645i \(0.199945\pi\)
\(678\) −0.418332 + 5.84904i −0.0160659 + 0.224631i
\(679\) −5.99575 + 5.19535i −0.230096 + 0.199379i
\(680\) 9.10075 2.48785i 0.348998 0.0954046i
\(681\) 17.5565 + 8.01777i 0.672765 + 0.307241i
\(682\) 0.0493295 0.0107310i 0.00188893 0.000410911i
\(683\) −7.71423 + 14.1276i −0.295177 + 0.540576i −0.982612 0.185670i \(-0.940555\pi\)
0.687436 + 0.726245i \(0.258736\pi\)
\(684\) −0.208338 + 1.44903i −0.00796602 + 0.0554049i
\(685\) −2.25920 11.4116i −0.0863198 0.436013i
\(686\) 8.28949 1.19185i 0.316494 0.0455050i
\(687\) −5.43060 + 24.9641i −0.207190 + 0.952439i
\(688\) −10.1104 + 0.723111i −0.385456 + 0.0275683i
\(689\) −3.39771 −0.129442
\(690\) 8.49879 6.53992i 0.323543 0.248971i
\(691\) 5.17874 0.197009 0.0985043 0.995137i \(-0.468594\pi\)
0.0985043 + 0.995137i \(0.468594\pi\)
\(692\) 14.6515 1.04789i 0.556965 0.0398349i
\(693\) 0.00235544 0.0108278i 8.94756e−5 0.000411313i
\(694\) 6.08425 0.874784i 0.230955 0.0332063i
\(695\) −0.387540 0.259452i −0.0147002 0.00984157i
\(696\) −0.251830 + 1.75151i −0.00954558 + 0.0663910i
\(697\) −19.7130 + 36.1017i −0.746684 + 1.36745i
\(698\) 6.55718 1.42643i 0.248193 0.0539911i
\(699\) −14.4577 6.60261i −0.546841 0.249734i
\(700\) −3.07220 + 0.104176i −0.116118 + 0.00393749i
\(701\) 7.54152 6.53476i 0.284839 0.246815i −0.500708 0.865616i \(-0.666927\pi\)
0.785547 + 0.618802i \(0.212382\pi\)
\(702\) 0.207937 2.90734i 0.00784808 0.109731i
\(703\) 11.1885 6.10938i 0.421982 0.230419i
\(704\) −0.00748742 + 0.0163952i −0.000282193 + 0.000617916i
\(705\) −0.0856348 + 4.56623i −0.00322519 + 0.171974i
\(706\) −11.7291 + 3.44396i −0.441429 + 0.129615i
\(707\) 6.67514 + 8.91694i 0.251044 + 0.335356i
\(708\) −1.02787 0.383375i −0.0386297 0.0144081i
\(709\) −2.60866 18.1436i −0.0979701 0.681397i −0.978324 0.207080i \(-0.933604\pi\)
0.880354 0.474317i \(-0.157305\pi\)
\(710\) 9.97451 + 28.3555i 0.374337 + 1.06416i
\(711\) 0.171028 + 0.148197i 0.00641407 + 0.00555782i
\(712\) −1.19154 + 1.19154i −0.0446547 + 0.0446547i
\(713\) −9.18929 + 9.79757i −0.344142 + 0.366922i
\(714\) 2.59401i 0.0970782i
\(715\) 0.0686234 + 0.0953457i 0.00256637 + 0.00356573i
\(716\) −4.18812 + 2.69154i −0.156518 + 0.100588i
\(717\) −8.71577 + 11.6429i −0.325496 + 0.434812i
\(718\) −2.21409 + 5.93619i −0.0826290 + 0.221537i
\(719\) −46.7069 6.71544i −1.74187 0.250444i −0.803313 0.595557i \(-0.796931\pi\)
−0.938561 + 0.345113i \(0.887840\pi\)
\(720\) −1.49574 + 1.66215i −0.0557430 + 0.0619448i
\(721\) −2.22273 1.42846i −0.0827789 0.0531988i
\(722\) 15.7941 5.89089i 0.587795 0.219236i
\(723\) 1.03895 + 1.90270i 0.0386391 + 0.0707622i
\(724\) −16.0865 18.5648i −0.597849 0.689954i
\(725\) −2.17261 8.57673i −0.0806887 0.318532i
\(726\) −10.5541 3.09897i −0.391700 0.115013i
\(727\) −2.03314 5.45106i −0.0754050 0.202169i 0.893778 0.448509i \(-0.148045\pi\)
−0.969183 + 0.246340i \(0.920772\pi\)
\(728\) −0.380913 1.75103i −0.0141176 0.0648974i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −26.5157 + 11.5134i −0.981390 + 0.426131i
\(731\) −17.7665 38.9031i −0.657116 1.43888i
\(732\) 5.95093 + 4.45481i 0.219953 + 0.164655i
\(733\) −20.1360 4.38032i −0.743741 0.161791i −0.175300 0.984515i \(-0.556090\pi\)
−0.568441 + 0.822724i \(0.692453\pi\)
\(734\) −18.5536 + 21.4121i −0.684828 + 0.790333i
\(735\) −3.41827 + 14.4074i −0.126085 + 0.531423i
\(736\) −0.834168 4.72273i −0.0307478 0.174082i
\(737\) 0.0335892 + 0.0335892i 0.00123727 + 0.00123727i
\(738\) −0.695470 9.72394i −0.0256006 0.357943i
\(739\) 3.24449 + 5.04852i 0.119350 + 0.185713i 0.895788 0.444481i \(-0.146612\pi\)
−0.776438 + 0.630194i \(0.782975\pi\)
\(740\) 19.3925 + 1.75302i 0.712883 + 0.0644422i
\(741\) 3.88140 1.77258i 0.142587 0.0651173i
\(742\) −0.573713 + 0.429476i −0.0210617 + 0.0157666i
\(743\) 39.6133 + 21.6305i 1.45327 + 0.793546i 0.995431 0.0954887i \(-0.0304414\pi\)
0.457840 + 0.889035i \(0.348623\pi\)
\(744\) 1.51428 2.35626i 0.0555162 0.0863848i
\(745\) 7.85360 0.979251i 0.287734 0.0358770i
\(746\) −5.72866 + 19.5100i −0.209741 + 0.714313i
\(747\) 4.68092 + 0.334786i 0.171266 + 0.0122492i
\(748\) −0.0758550 0.00542525i −0.00277353 0.000198367i
\(749\) −1.17546 + 4.00324i −0.0429503 + 0.146275i
\(750\) 3.74804 10.5334i 0.136859 0.384625i
\(751\) 20.0032 31.1256i 0.729927 1.13579i −0.255684 0.966760i \(-0.582301\pi\)
0.985611 0.169028i \(-0.0540628\pi\)
\(752\) 1.79261 + 0.978837i 0.0653696 + 0.0356945i
\(753\) −19.3137 + 14.4581i −0.703830 + 0.526881i
\(754\) 4.69166 2.14261i 0.170860 0.0780292i
\(755\) 15.1037 12.5994i 0.549678 0.458539i
\(756\) −0.332382 0.517197i −0.0120886 0.0188103i
\(757\) −1.53158 21.4143i −0.0556662 0.778315i −0.946238 0.323472i \(-0.895150\pi\)
0.890572 0.454843i \(-0.150305\pi\)
\(758\) 23.8620 + 23.8620i 0.866706 + 0.866706i
\(759\) −0.0821161 + 0.0269961i −0.00298063 + 0.000979897i
\(760\) −3.18502 0.755673i −0.115533 0.0274111i
\(761\) −17.8697 + 20.6228i −0.647777 + 0.747575i −0.980730 0.195369i \(-0.937410\pi\)
0.332952 + 0.942944i \(0.391955\pi\)
\(762\) 7.65180 + 1.66455i 0.277195 + 0.0603001i
\(763\) −1.83817 1.37604i −0.0665464 0.0498160i
\(764\) 2.49522 + 5.46378i 0.0902740 + 0.197672i
\(765\) −8.77644 3.46225i −0.317313 0.125178i
\(766\) −8.15844 27.7851i −0.294776 1.00392i
\(767\) 0.679700 + 3.12453i 0.0245426 + 0.112820i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) −22.3027 6.54866i −0.804256 0.236151i −0.146332 0.989235i \(-0.546747\pi\)
−0.657924 + 0.753085i \(0.728565\pi\)
\(770\) 0.0236391 + 0.00742529i 0.000851895 + 0.000267589i
\(771\) 10.1862 + 11.7555i 0.366848 + 0.423366i
\(772\) −7.58553