Properties

Label 483.2.bf.a.388.16
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.16
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.159206 + 0.125201i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.461847 + 1.90376i) q^{4} +(-3.31997 - 0.639872i) q^{5} +(-0.0570617 + 0.194334i) q^{6} +(1.87991 - 1.86170i) q^{7} +(-0.333099 - 0.729384i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(-0.159206 + 0.125201i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.461847 + 1.90376i) q^{4} +(-3.31997 - 0.639872i) q^{5} +(-0.0570617 + 0.194334i) q^{6} +(1.87991 - 1.86170i) q^{7} +(-0.333099 - 0.729384i) q^{8} +(0.327068 - 0.945001i) q^{9} +(0.608672 - 0.313792i) q^{10} +(3.22421 - 4.09991i) q^{11} +(0.728079 + 1.81865i) q^{12} +(-1.15354 + 1.79495i) q^{13} +(-0.0662071 + 0.531761i) q^{14} +(-3.07553 + 1.40455i) q^{15} +(-3.33807 - 1.72089i) q^{16} +(3.59238 - 3.42533i) q^{17} +(0.0662439 + 0.191399i) q^{18} +(2.34903 + 2.23980i) q^{19} +(2.75148 - 6.02490i) q^{20} +(0.451441 - 2.60695i) q^{21} +1.05641i q^{22} +(0.195104 - 4.79186i) q^{23} +(-0.694419 - 0.400923i) q^{24} +(5.97093 + 2.39040i) q^{25} +(-0.0410783 - 0.430191i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(2.67599 + 4.43872i) q^{28} +(5.28754 + 1.55256i) q^{29} +(0.313792 - 0.608672i) q^{30} +(0.552360 - 5.78458i) q^{31} +(2.32161 - 0.447453i) q^{32} +(0.248179 - 5.20992i) q^{33} +(-0.143074 + 0.995103i) q^{34} +(-7.43251 + 4.97788i) q^{35} +(1.64800 + 1.05910i) q^{36} +(9.27830 + 3.21125i) q^{37} +(-0.654406 - 0.0624882i) q^{38} +(0.101524 + 2.13124i) q^{39} +(0.639165 + 2.63467i) q^{40} +(-3.67902 - 3.18789i) q^{41} +(0.254521 + 0.471563i) q^{42} +(-10.7881 - 4.92677i) q^{43} +(6.31615 + 8.03164i) q^{44} +(-1.69054 + 2.92809i) q^{45} +(0.568884 + 0.787320i) q^{46} +(-9.15693 + 5.28676i) q^{47} +(-3.71733 + 0.534471i) q^{48} +(0.0681535 - 6.99967i) q^{49} +(-1.24989 + 0.367000i) q^{50} +(0.939382 - 4.87398i) q^{51} +(-2.88438 - 3.02506i) q^{52} +(0.978821 - 0.0466270i) q^{53} +(0.164983 + 0.117484i) q^{54} +(-13.3277 + 11.5485i) q^{55} +(-1.98409 - 0.751050i) q^{56} +(3.21268 + 0.461913i) q^{57} +(-1.03619 + 0.414828i) q^{58} +(-2.02813 - 3.93401i) q^{59} +(-1.25349 - 6.50375i) q^{60} +(-4.91030 + 6.89554i) q^{61} +(0.636296 + 0.990095i) q^{62} +(-1.14445 - 2.38542i) q^{63} +(4.60513 - 5.31461i) q^{64} +(4.97826 - 5.22105i) q^{65} +(0.612775 + 0.860522i) q^{66} +(-0.244630 + 0.611056i) q^{67} +(4.86187 + 8.42100i) q^{68} +(-2.62063 - 4.01651i) q^{69} +(0.560064 - 1.72307i) q^{70} +(1.59564 + 11.0979i) q^{71} +(-0.798215 + 0.0762203i) q^{72} +(7.21612 + 1.75061i) q^{73} +(-1.87921 + 0.650402i) q^{74} +(6.25034 - 1.51632i) q^{75} +(-5.34893 + 3.43755i) q^{76} +(-1.57157 - 13.7100i) q^{77} +(-0.282997 - 0.326596i) q^{78} +(10.6683 + 0.508194i) q^{79} +(9.98113 + 7.84925i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(0.984849 + 0.0469141i) q^{82} +(-7.36124 - 8.49533i) q^{83} +(4.75451 + 2.06345i) q^{84} +(-14.1184 + 9.07333i) q^{85} +(2.33437 - 0.566312i) q^{86} +(5.20767 - 1.80239i) q^{87} +(-4.06439 - 0.986011i) q^{88} +(-8.61490 + 0.822623i) q^{89} +(-0.0974568 - 0.677827i) q^{90} +(1.17309 + 5.52190i) q^{91} +(9.03243 + 2.58454i) q^{92} +(-2.90544 - 5.03238i) q^{93} +(0.795931 - 1.98814i) q^{94} +(-6.36554 - 8.93915i) q^{95} +(1.63158 - 1.71115i) q^{96} +(-2.77352 + 3.20081i) q^{97} +(0.865515 + 1.12292i) q^{98} +(-2.81989 - 4.38783i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.159206 + 0.125201i −0.112576 + 0.0885305i −0.672860 0.739770i \(-0.734934\pi\)
0.560284 + 0.828300i \(0.310692\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) −0.461847 + 1.90376i −0.230923 + 0.951879i
\(5\) −3.31997 0.639872i −1.48474 0.286159i −0.618496 0.785788i \(-0.712258\pi\)
−0.866240 + 0.499629i \(0.833470\pi\)
\(6\) −0.0570617 + 0.194334i −0.0232953 + 0.0793366i
\(7\) 1.87991 1.86170i 0.710541 0.703656i
\(8\) −0.333099 0.729384i −0.117768 0.257876i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) 0.608672 0.313792i 0.192479 0.0992298i
\(11\) 3.22421 4.09991i 0.972135 1.23617i 0.000423847 1.00000i \(-0.499865\pi\)
0.971712 0.236171i \(-0.0758925\pi\)
\(12\) 0.728079 + 1.81865i 0.210178 + 0.525000i
\(13\) −1.15354 + 1.79495i −0.319935 + 0.497829i −0.963553 0.267518i \(-0.913796\pi\)
0.643618 + 0.765347i \(0.277433\pi\)
\(14\) −0.0662071 + 0.531761i −0.0176946 + 0.142119i
\(15\) −3.07553 + 1.40455i −0.794098 + 0.362653i
\(16\) −3.33807 1.72089i −0.834517 0.430223i
\(17\) 3.59238 3.42533i 0.871281 0.830765i −0.115419 0.993317i \(-0.536821\pi\)
0.986700 + 0.162552i \(0.0519726\pi\)
\(18\) 0.0662439 + 0.191399i 0.0156138 + 0.0451132i
\(19\) 2.34903 + 2.23980i 0.538906 + 0.513845i 0.909921 0.414781i \(-0.136142\pi\)
−0.371016 + 0.928627i \(0.620990\pi\)
\(20\) 2.75148 6.02490i 0.615249 1.34721i
\(21\) 0.451441 2.60695i 0.0985126 0.568884i
\(22\) 1.05641i 0.225226i
\(23\) 0.195104 4.79186i 0.0406819 0.999172i
\(24\) −0.694419 0.400923i −0.141748 0.0818380i
\(25\) 5.97093 + 2.39040i 1.19419 + 0.478080i
\(26\) −0.0410783 0.430191i −0.00805611 0.0843674i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 2.67599 + 4.43872i 0.505715 + 0.838839i
\(29\) 5.28754 + 1.55256i 0.981871 + 0.288303i 0.732996 0.680232i \(-0.238121\pi\)
0.248874 + 0.968536i \(0.419939\pi\)
\(30\) 0.313792 0.608672i 0.0572903 0.111128i
\(31\) 0.552360 5.78458i 0.0992068 1.03894i −0.799582 0.600558i \(-0.794945\pi\)
0.898788 0.438383i \(-0.144449\pi\)
\(32\) 2.32161 0.447453i 0.410406 0.0790993i
\(33\) 0.248179 5.20992i 0.0432024 0.906930i
\(34\) −0.143074 + 0.995103i −0.0245370 + 0.170659i
\(35\) −7.43251 + 4.97788i −1.25632 + 0.841416i
\(36\) 1.64800 + 1.05910i 0.274666 + 0.176517i
\(37\) 9.27830 + 3.21125i 1.52534 + 0.527926i 0.955795 0.294032i \(-0.0949974\pi\)
0.569547 + 0.821959i \(0.307119\pi\)
\(38\) −0.654406 0.0624882i −0.106159 0.0101369i
\(39\) 0.101524 + 2.13124i 0.0162568 + 0.341272i
\(40\) 0.639165 + 2.63467i 0.101061 + 0.416579i
\(41\) −3.67902 3.18789i −0.574566 0.497864i 0.318419 0.947950i \(-0.396848\pi\)
−0.892985 + 0.450086i \(0.851393\pi\)
\(42\) 0.254521 + 0.471563i 0.0392734 + 0.0727638i
\(43\) −10.7881 4.92677i −1.64517 0.751325i −0.645253 0.763969i \(-0.723248\pi\)
−0.999920 + 0.0126442i \(0.995975\pi\)
\(44\) 6.31615 + 8.03164i 0.952196 + 1.21082i
\(45\) −1.69054 + 2.92809i −0.252010 + 0.436494i
\(46\) 0.568884 + 0.787320i 0.0838774 + 0.116084i
\(47\) −9.15693 + 5.28676i −1.33568 + 0.771153i −0.986163 0.165779i \(-0.946986\pi\)
−0.349513 + 0.936932i \(0.613653\pi\)
\(48\) −3.71733 + 0.534471i −0.536550 + 0.0771442i
\(49\) 0.0681535 6.99967i 0.00973621 0.999953i
\(50\) −1.24989 + 0.367000i −0.176761 + 0.0519017i
\(51\) 0.939382 4.87398i 0.131540 0.682493i
\(52\) −2.88438 3.02506i −0.399992 0.419500i
\(53\) 0.978821 0.0466270i 0.134451 0.00640471i 0.0197517 0.999805i \(-0.493712\pi\)
0.114700 + 0.993400i \(0.463409\pi\)
\(54\) 0.164983 + 0.117484i 0.0224513 + 0.0159875i
\(55\) −13.3277 + 11.5485i −1.79711 + 1.55720i
\(56\) −1.98409 0.751050i −0.265135 0.100363i
\(57\) 3.21268 + 0.461913i 0.425530 + 0.0611819i
\(58\) −1.03619 + 0.414828i −0.136058 + 0.0544696i
\(59\) −2.02813 3.93401i −0.264039 0.512165i 0.719127 0.694879i \(-0.244542\pi\)
−0.983166 + 0.182714i \(0.941512\pi\)
\(60\) −1.25349 6.50375i −0.161825 0.839630i
\(61\) −4.91030 + 6.89554i −0.628699 + 0.882884i −0.998939 0.0460521i \(-0.985336\pi\)
0.370240 + 0.928936i \(0.379275\pi\)
\(62\) 0.636296 + 0.990095i 0.0808096 + 0.125742i
\(63\) −1.14445 2.38542i −0.144187 0.300535i
\(64\) 4.60513 5.31461i 0.575642 0.664326i
\(65\) 4.97826 5.22105i 0.617478 0.647592i
\(66\) 0.612775 + 0.860522i 0.0754274 + 0.105923i
\(67\) −0.244630 + 0.611056i −0.0298863 + 0.0746524i −0.942560 0.334036i \(-0.891589\pi\)
0.912674 + 0.408688i \(0.134014\pi\)
\(68\) 4.86187 + 8.42100i 0.589588 + 1.02120i
\(69\) −2.62063 4.01651i −0.315486 0.483531i
\(70\) 0.560064 1.72307i 0.0669405 0.205946i
\(71\) 1.59564 + 11.0979i 0.189368 + 1.31708i 0.833650 + 0.552294i \(0.186247\pi\)
−0.644282 + 0.764788i \(0.722844\pi\)
\(72\) −0.798215 + 0.0762203i −0.0940705 + 0.00898264i
\(73\) 7.21612 + 1.75061i 0.844583 + 0.204894i 0.634629 0.772817i \(-0.281153\pi\)
0.209955 + 0.977711i \(0.432668\pi\)
\(74\) −1.87921 + 0.650402i −0.218454 + 0.0756077i
\(75\) 6.25034 1.51632i 0.721727 0.175089i
\(76\) −5.34893 + 3.43755i −0.613564 + 0.394314i
\(77\) −1.57157 13.7100i −0.179097 1.56240i
\(78\) −0.282997 0.326596i −0.0320431 0.0369797i
\(79\) 10.6683 + 0.508194i 1.20028 + 0.0571763i 0.638175 0.769891i \(-0.279689\pi\)
0.562103 + 0.827067i \(0.309993\pi\)
\(80\) 9.98113 + 7.84925i 1.11592 + 0.877573i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 0.984849 + 0.0469141i 0.108758 + 0.00518080i
\(83\) −7.36124 8.49533i −0.808001 0.932483i 0.190790 0.981631i \(-0.438895\pi\)
−0.998792 + 0.0491474i \(0.984350\pi\)
\(84\) 4.75451 + 2.06345i 0.518759 + 0.225141i
\(85\) −14.1184 + 9.07333i −1.53135 + 0.984141i
\(86\) 2.33437 0.566312i 0.251722 0.0610670i
\(87\) 5.20767 1.80239i 0.558321 0.193237i
\(88\) −4.06439 0.986011i −0.433266 0.105109i
\(89\) −8.61490 + 0.822623i −0.913178 + 0.0871979i −0.541057 0.840986i \(-0.681976\pi\)
−0.372121 + 0.928184i \(0.621369\pi\)
\(90\) −0.0974568 0.677827i −0.0102728 0.0714492i
\(91\) 1.17309 + 5.52190i 0.122973 + 0.578852i
\(92\) 9.03243 + 2.58454i 0.941696 + 0.269456i
\(93\) −2.90544 5.03238i −0.301280 0.521833i
\(94\) 0.795931 1.98814i 0.0820940 0.205061i
\(95\) −6.36554 8.93915i −0.653091 0.917137i
\(96\) 1.63158 1.71115i 0.166522 0.174643i
\(97\) −2.77352 + 3.20081i −0.281608 + 0.324993i −0.878877 0.477048i \(-0.841707\pi\)
0.597270 + 0.802041i \(0.296252\pi\)
\(98\) 0.865515 + 1.12292i 0.0874302 + 0.113432i
\(99\) −2.81989 4.38783i −0.283409 0.440994i
\(100\) −7.30839 + 10.2632i −0.730839 + 1.02632i
\(101\) 1.55155 + 8.05019i 0.154385 + 0.801024i 0.973727 + 0.227719i \(0.0731268\pi\)
−0.819342 + 0.573305i \(0.805661\pi\)
\(102\) 0.460672 + 0.893578i 0.0456133 + 0.0884774i
\(103\) 2.42045 0.969000i 0.238494 0.0954784i −0.249337 0.968417i \(-0.580213\pi\)
0.487830 + 0.872938i \(0.337788\pi\)
\(104\) 1.69345 + 0.243481i 0.166056 + 0.0238753i
\(105\) −3.16689 + 8.36614i −0.309057 + 0.816452i
\(106\) −0.149996 + 0.129973i −0.0145689 + 0.0126241i
\(107\) −6.46566 4.60418i −0.625059 0.445103i 0.223135 0.974787i \(-0.428371\pi\)
−0.848195 + 0.529685i \(0.822310\pi\)
\(108\) 1.95676 0.0932119i 0.188289 0.00896932i
\(109\) 9.10675 + 9.55088i 0.872268 + 0.914809i 0.997002 0.0773817i \(-0.0246560\pi\)
−0.124733 + 0.992190i \(0.539808\pi\)
\(110\) 0.675964 3.50723i 0.0644506 0.334402i
\(111\) 9.42059 2.76613i 0.894162 0.262550i
\(112\) −9.47907 + 2.97935i −0.895688 + 0.281522i
\(113\) 8.04799 1.15713i 0.757092 0.108853i 0.247050 0.969003i \(-0.420539\pi\)
0.510042 + 0.860150i \(0.329630\pi\)
\(114\) −0.569310 + 0.328691i −0.0533207 + 0.0307847i
\(115\) −3.71392 + 15.7840i −0.346324 + 1.47187i
\(116\) −5.39773 + 9.34914i −0.501167 + 0.868046i
\(117\) 1.31894 + 1.67717i 0.121936 + 0.155054i
\(118\) 0.815432 + 0.372395i 0.0750666 + 0.0342818i
\(119\) 0.376437 13.1273i 0.0345079 1.20337i
\(120\) 2.04891 + 1.77539i 0.187039 + 0.162070i
\(121\) −3.82043 15.7480i −0.347312 1.43164i
\(122\) −0.0815805 1.71259i −0.00738595 0.155050i
\(123\) −4.84600 0.462737i −0.436949 0.0417236i
\(124\) 10.7573 + 3.72315i 0.966036 + 0.334348i
\(125\) −4.07206 2.61696i −0.364216 0.234068i
\(126\) 0.480860 + 0.236488i 0.0428384 + 0.0210680i
\(127\) 0.647650 4.50451i 0.0574697 0.399710i −0.940700 0.339239i \(-0.889831\pi\)
0.998170 0.0604714i \(-0.0192604\pi\)
\(128\) −0.292770 + 6.14600i −0.0258775 + 0.543235i
\(129\) −11.6455 + 2.24450i −1.02533 + 0.197617i
\(130\) −0.138889 + 1.45451i −0.0121813 + 0.127569i
\(131\) 0.0869913 0.168740i 0.00760047 0.0147429i −0.885005 0.465582i \(-0.845845\pi\)
0.892605 + 0.450839i \(0.148875\pi\)
\(132\) 9.80380 + 2.87865i 0.853311 + 0.250555i
\(133\) 8.58582 0.162564i 0.744485 0.0140961i
\(134\) −0.0375583 0.127912i −0.00324454 0.0110499i
\(135\) 0.321391 + 3.36576i 0.0276609 + 0.289679i
\(136\) −3.69500 1.47925i −0.316844 0.126845i
\(137\) 4.54047 + 2.62144i 0.387919 + 0.223965i 0.681258 0.732043i \(-0.261433\pi\)
−0.293339 + 0.956008i \(0.594767\pi\)
\(138\) 0.920090 + 0.311347i 0.0783233 + 0.0265036i
\(139\) 2.81270i 0.238570i 0.992860 + 0.119285i \(0.0380602\pi\)
−0.992860 + 0.119285i \(0.961940\pi\)
\(140\) −6.04400 16.4487i −0.510811 1.39017i
\(141\) −4.39240 + 9.61800i −0.369906 + 0.809982i
\(142\) −1.64351 1.56708i −0.137920 0.131506i
\(143\) 3.63987 + 10.5167i 0.304381 + 0.879452i
\(144\) −2.71802 + 2.59163i −0.226502 + 0.215969i
\(145\) −16.5610 8.53780i −1.37532 0.709026i
\(146\) −1.36803 + 0.624758i −0.113219 + 0.0517053i
\(147\) −4.00469 5.74129i −0.330301 0.473534i
\(148\) −10.3986 + 16.1805i −0.854759 + 1.33003i
\(149\) 6.30164 + 15.7407i 0.516250 + 1.28953i 0.926066 + 0.377362i \(0.123169\pi\)
−0.409816 + 0.912168i \(0.634407\pi\)
\(150\) −0.805247 + 1.02396i −0.0657482 + 0.0836056i
\(151\) −15.0923 + 7.78060i −1.22819 + 0.633177i −0.945371 0.325996i \(-0.894300\pi\)
−0.282820 + 0.959173i \(0.591270\pi\)
\(152\) 0.851215 2.45942i 0.0690426 0.199486i
\(153\) −2.06199 4.51512i −0.166702 0.365026i
\(154\) 1.96671 + 1.98595i 0.158482 + 0.160032i
\(155\) −5.53521 + 18.8512i −0.444598 + 1.51416i
\(156\) −4.10426 0.791030i −0.328603 0.0633331i
\(157\) −1.71634 + 7.07483i −0.136978 + 0.564633i 0.861411 + 0.507908i \(0.169581\pi\)
−0.998390 + 0.0567251i \(0.981934\pi\)
\(158\) −1.76208 + 1.25477i −0.140184 + 0.0998245i
\(159\) 0.770278 0.605753i 0.0610870 0.0480394i
\(160\) −7.99398 −0.631980
\(161\) −8.55423 9.37151i −0.674167 0.738579i
\(162\) 0.202538 0.0159129
\(163\) 10.0570 7.90893i 0.787727 0.619475i −0.141098 0.989996i \(-0.545063\pi\)
0.928824 + 0.370521i \(0.120821\pi\)
\(164\) 7.76811 5.53165i 0.606587 0.431949i
\(165\) −4.15762 + 17.1380i −0.323671 + 1.33419i
\(166\) 2.23558 + 0.430872i 0.173514 + 0.0334422i
\(167\) −2.84952 + 9.70459i −0.220503 + 0.750964i 0.772721 + 0.634746i \(0.218895\pi\)
−0.993224 + 0.116218i \(0.962923\pi\)
\(168\) −2.05184 + 0.539098i −0.158303 + 0.0415923i
\(169\) 3.50922 + 7.68412i 0.269940 + 0.591086i
\(170\) 1.11174 3.21216i 0.0852666 0.246362i
\(171\) 2.88491 1.48727i 0.220614 0.113735i
\(172\) 14.3618 18.2626i 1.09508 1.39251i
\(173\) −5.65682 14.1300i −0.430080 1.07429i −0.972234 0.234009i \(-0.924816\pi\)
0.542155 0.840279i \(-0.317609\pi\)
\(174\) −0.603432 + 0.938958i −0.0457460 + 0.0711822i
\(175\) 15.6750 6.62232i 1.18492 0.500601i
\(176\) −17.8181 + 8.13727i −1.34309 + 0.613370i
\(177\) −3.93401 2.02813i −0.295699 0.152443i
\(178\) 1.26855 1.20956i 0.0950819 0.0906604i
\(179\) 1.57095 + 4.53897i 0.117419 + 0.339259i 0.988361 0.152126i \(-0.0486120\pi\)
−0.870942 + 0.491385i \(0.836491\pi\)
\(180\) −4.79361 4.57070i −0.357295 0.340680i
\(181\) 2.09959 4.59746i 0.156061 0.341726i −0.815410 0.578884i \(-0.803488\pi\)
0.971471 + 0.237157i \(0.0762157\pi\)
\(182\) −0.878110 0.732247i −0.0650898 0.0542777i
\(183\) 8.46520i 0.625765i
\(184\) −3.56010 + 1.45386i −0.262454 + 0.107180i
\(185\) −28.7489 16.5982i −2.11366 1.22032i
\(186\) 1.09262 + 0.437420i 0.0801150 + 0.0320732i
\(187\) −2.46097 25.7724i −0.179964 1.88467i
\(188\) −5.83561 19.8742i −0.425605 1.44948i
\(189\) −2.31592 1.27926i −0.168458 0.0930527i
\(190\) 2.13262 + 0.626195i 0.154717 + 0.0454289i
\(191\) 0.713241 1.38349i 0.0516083 0.100106i −0.861621 0.507552i \(-0.830550\pi\)
0.913229 + 0.407446i \(0.133581\pi\)
\(192\) 0.668456 7.00039i 0.0482417 0.505210i
\(193\) 9.47742 1.82662i 0.682199 0.131483i 0.163634 0.986521i \(-0.447678\pi\)
0.518565 + 0.855038i \(0.326466\pi\)
\(194\) 0.0408161 0.856835i 0.00293042 0.0615171i
\(195\) 1.02667 7.14062i 0.0735211 0.511350i
\(196\) 13.2942 + 3.36252i 0.949585 + 0.240180i
\(197\) −5.54677 3.56469i −0.395191 0.253974i 0.327920 0.944705i \(-0.393652\pi\)
−0.723111 + 0.690732i \(0.757289\pi\)
\(198\) 0.998304 + 0.345516i 0.0709464 + 0.0245548i
\(199\) 16.3346 + 1.55977i 1.15793 + 0.110569i 0.656292 0.754507i \(-0.272124\pi\)
0.501641 + 0.865076i \(0.332730\pi\)
\(200\) −0.245389 5.15134i −0.0173516 0.364255i
\(201\) 0.155178 + 0.639651i 0.0109454 + 0.0451175i
\(202\) −1.25491 1.08738i −0.0882950 0.0765081i
\(203\) 12.8305 6.92512i 0.900526 0.486048i
\(204\) 8.84502 + 4.03939i 0.619275 + 0.282814i
\(205\) 10.1744 + 12.9378i 0.710610 + 0.903615i
\(206\) −0.264030 + 0.457313i −0.0183958 + 0.0318625i
\(207\) −4.46450 1.75164i −0.310304 0.121747i
\(208\) 6.93952 4.00653i 0.481169 0.277803i
\(209\) 16.7568 2.40926i 1.15909 0.166652i
\(210\) −0.543261 1.72844i −0.0374886 0.119273i
\(211\) 23.1097 6.78561i 1.59093 0.467140i 0.637929 0.770095i \(-0.279791\pi\)
0.953005 + 0.302955i \(0.0979731\pi\)
\(212\) −0.363299 + 1.88497i −0.0249515 + 0.129460i
\(213\) 7.73720 + 8.11454i 0.530144 + 0.555999i
\(214\) 1.60582 0.0764946i 0.109772 0.00522907i
\(215\) 32.6637 + 23.2597i 2.22765 + 1.58630i
\(216\) −0.605994 + 0.525097i −0.0412327 + 0.0357283i
\(217\) −9.73075 11.9028i −0.660566 0.808017i
\(218\) −2.64563 0.380384i −0.179185 0.0257629i
\(219\) 6.89354 2.75976i 0.465822 0.186487i
\(220\) −15.8302 30.7063i −1.06727 2.07022i
\(221\) 2.00432 + 10.3994i 0.134825 + 0.699540i
\(222\) −1.15349 + 1.61985i −0.0774173 + 0.108717i
\(223\) −7.98042 12.4178i −0.534409 0.831556i 0.464121 0.885772i \(-0.346370\pi\)
−0.998529 + 0.0542159i \(0.982734\pi\)
\(224\) 3.53140 5.16331i 0.235952 0.344988i
\(225\) 4.21183 4.86071i 0.280788 0.324047i
\(226\) −1.13642 + 1.19184i −0.0755932 + 0.0792799i
\(227\) 10.9896 + 15.4327i 0.729404 + 1.02430i 0.998132 + 0.0610886i \(0.0194572\pi\)
−0.268728 + 0.963216i \(0.586603\pi\)
\(228\) −2.36314 + 5.90283i −0.156503 + 0.390924i
\(229\) 9.64285 + 16.7019i 0.637217 + 1.10369i 0.986041 + 0.166504i \(0.0532479\pi\)
−0.348824 + 0.937188i \(0.613419\pi\)
\(230\) −1.38489 2.97789i −0.0913172 0.196356i
\(231\) −9.23274 10.2562i −0.607470 0.674810i
\(232\) −0.628858 4.37380i −0.0412865 0.287154i
\(233\) −1.77185 + 0.169191i −0.116078 + 0.0110841i −0.152933 0.988237i \(-0.548872\pi\)
0.0368555 + 0.999321i \(0.488266\pi\)
\(234\) −0.419966 0.101883i −0.0274541 0.00666028i
\(235\) 33.7836 11.6926i 2.20380 0.762742i
\(236\) 8.42609 2.04415i 0.548492 0.133063i
\(237\) 8.98493 5.77426i 0.583634 0.375079i
\(238\) 1.58362 + 2.13707i 0.102651 + 0.138526i
\(239\) −16.7102 19.2847i −1.08090 1.24742i −0.967230 0.253902i \(-0.918286\pi\)
−0.113666 0.993519i \(-0.536259\pi\)
\(240\) 12.6834 + 0.604185i 0.818710 + 0.0390000i
\(241\) −14.1813 11.1523i −0.913498 0.718383i 0.0463434 0.998926i \(-0.485243\pi\)
−0.959842 + 0.280543i \(0.909486\pi\)
\(242\) 2.57990 + 2.02886i 0.165843 + 0.130420i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) −10.8596 12.5327i −0.695217 0.802324i
\(245\) −4.70516 + 23.1951i −0.300602 + 1.48188i
\(246\) 0.829447 0.533053i 0.0528836 0.0339862i
\(247\) −6.73003 + 1.63269i −0.428222 + 0.103885i
\(248\) −4.40317 + 1.52395i −0.279601 + 0.0967710i
\(249\) −10.9241 2.65015i −0.692285 0.167946i
\(250\) 0.975942 0.0931912i 0.0617240 0.00589393i
\(251\) 3.26369 + 22.6994i 0.206002 + 1.43278i 0.786035 + 0.618183i \(0.212131\pi\)
−0.580033 + 0.814593i \(0.696960\pi\)
\(252\) 5.06983 1.07705i 0.319369 0.0678479i
\(253\) −19.0172 16.2499i −1.19560 1.02162i
\(254\) 0.460859 + 0.798231i 0.0289169 + 0.0500855i
\(255\) −6.23744 + 15.5804i −0.390604 + 0.975681i
\(256\) 7.43532 + 10.4414i 0.464707 + 0.652590i
\(257\) 4.44170 4.65832i 0.277065 0.290578i −0.570468 0.821320i \(-0.693238\pi\)
0.847533 + 0.530742i \(0.178087\pi\)
\(258\) 1.57303 1.81537i 0.0979325 0.113020i
\(259\) 23.4208 11.2365i 1.45530 0.698204i
\(260\) 7.64042 + 11.8887i 0.473839 + 0.737308i
\(261\) 3.19656 4.48893i 0.197862 0.277858i
\(262\) 0.00727683 + 0.0377558i 0.000449564 + 0.00233256i
\(263\) 2.34264 + 4.54408i 0.144453 + 0.280200i 0.949951 0.312398i \(-0.101132\pi\)
−0.805498 + 0.592598i \(0.798102\pi\)
\(264\) −3.88270 + 1.55440i −0.238964 + 0.0956666i
\(265\) −3.27949 0.471520i −0.201458 0.0289652i
\(266\) −1.34656 + 1.10083i −0.0825629 + 0.0674965i
\(267\) −6.54032 + 5.66722i −0.400261 + 0.346828i
\(268\) −1.05032 0.747930i −0.0641586 0.0456871i
\(269\) 13.1121 0.624608i 0.799461 0.0380830i 0.356125 0.934438i \(-0.384098\pi\)
0.443336 + 0.896355i \(0.353795\pi\)
\(270\) −0.472564 0.495611i −0.0287593 0.0301619i
\(271\) −0.589108 + 3.05658i −0.0357858 + 0.185674i −0.995423 0.0955664i \(-0.969534\pi\)
0.959637 + 0.281241i \(0.0907459\pi\)
\(272\) −17.8862 + 5.25188i −1.08451 + 0.318442i
\(273\) 4.15859 + 3.81754i 0.251689 + 0.231048i
\(274\) −1.05108 + 0.151122i −0.0634979 + 0.00912962i
\(275\) 29.0519 16.7731i 1.75190 1.01146i
\(276\) 8.85678 3.13403i 0.533116 0.188646i
\(277\) −8.42175 + 14.5869i −0.506014 + 0.876441i 0.493962 + 0.869483i \(0.335548\pi\)
−0.999976 + 0.00695797i \(0.997785\pi\)
\(278\) −0.352153 0.447799i −0.0211207 0.0268572i
\(279\) −5.28577 2.41393i −0.316451 0.144518i
\(280\) 6.10655 + 3.76303i 0.364936 + 0.224884i
\(281\) −7.44276 6.44919i −0.443998 0.384726i 0.403972 0.914772i \(-0.367629\pi\)
−0.847969 + 0.530045i \(0.822175\pi\)
\(282\) −0.504888 2.08118i −0.0300656 0.123932i
\(283\) −1.39607 29.3071i −0.0829878 1.74213i −0.530352 0.847777i \(-0.677940\pi\)
0.447364 0.894352i \(-0.352363\pi\)
\(284\) −21.8647 2.08783i −1.29743 0.123890i
\(285\) −10.3704 3.58924i −0.614291 0.212608i
\(286\) −1.89619 1.21861i −0.112124 0.0720578i
\(287\) −12.8511 + 0.856270i −0.758578 + 0.0505440i
\(288\) 0.336480 2.34027i 0.0198273 0.137902i
\(289\) 0.363436 7.62945i 0.0213786 0.448791i
\(290\) 3.70556 0.714187i 0.217598 0.0419385i
\(291\) −0.402588 + 4.21610i −0.0236002 + 0.247152i
\(292\) −6.66548 + 12.9292i −0.390068 + 0.756626i
\(293\) 24.2951 + 7.13368i 1.41933 + 0.416754i 0.899278 0.437378i \(-0.144093\pi\)
0.520056 + 0.854132i \(0.325911\pi\)
\(294\) 1.35639 + 0.412657i 0.0791061 + 0.0240667i
\(295\) 4.21605 + 14.3586i 0.245468 + 0.835987i
\(296\) −0.748353 7.83711i −0.0434971 0.455523i
\(297\) −4.84220 1.93853i −0.280973 0.112485i
\(298\) −2.97401 1.71705i −0.172280 0.0994659i
\(299\) 8.37608 + 5.87782i 0.484401 + 0.339923i
\(300\) 12.5994i 0.727429i
\(301\) −29.4529 + 10.8223i −1.69764 + 0.623789i
\(302\) 1.42864 3.12829i 0.0822090 0.180013i
\(303\) 5.93342 + 5.65751i 0.340866 + 0.325015i
\(304\) −3.98678 11.5190i −0.228657 0.660662i
\(305\) 20.7143 19.7510i 1.18610 1.13094i
\(306\) 0.893578 + 0.460672i 0.0510825 + 0.0263348i
\(307\) −17.1892 + 7.85003i −0.981038 + 0.448025i −0.840359 0.542030i \(-0.817656\pi\)
−0.140679 + 0.990055i \(0.544929\pi\)
\(308\) 26.8263 + 3.34002i 1.52857 + 0.190315i
\(309\) 1.40956 2.19332i 0.0801872 0.124774i
\(310\) −1.47895 3.69423i −0.0839986 0.209818i
\(311\) −6.31069 + 8.02470i −0.357847 + 0.455039i −0.931329 0.364179i \(-0.881350\pi\)
0.573482 + 0.819218i \(0.305592\pi\)
\(312\) 1.52068 0.783963i 0.0860914 0.0443832i
\(313\) −0.987152 + 2.85219i −0.0557971 + 0.161215i −0.969455 0.245268i \(-0.921124\pi\)
0.913658 + 0.406484i \(0.133245\pi\)
\(314\) −0.612525 1.34124i −0.0345668 0.0756907i
\(315\) 2.27317 + 8.65183i 0.128078 + 0.487475i
\(316\) −5.89460 + 20.0752i −0.331597 + 1.12932i
\(317\) −9.56393 1.84330i −0.537164 0.103530i −0.0865478 0.996248i \(-0.527584\pi\)
−0.450616 + 0.892718i \(0.648796\pi\)
\(318\) −0.0467920 + 0.192879i −0.00262396 + 0.0108161i
\(319\) 23.4135 16.6727i 1.31090 0.933490i
\(320\) −18.6896 + 14.6976i −1.04478 + 0.821623i
\(321\) −7.93746 −0.443026
\(322\) 2.53521 + 0.421004i 0.141282 + 0.0234616i
\(323\) 16.1107 0.896423
\(324\) 1.53986 1.21096i 0.0855478 0.0672756i
\(325\) −11.1784 + 7.96007i −0.620064 + 0.441545i
\(326\) −0.610932 + 2.51830i −0.0338364 + 0.139476i
\(327\) 12.9582 + 2.49749i 0.716590 + 0.138111i
\(328\) −1.09972 + 3.74530i −0.0607218 + 0.206800i
\(329\) −7.37189 + 26.9861i −0.406426 + 1.48779i
\(330\) −1.48377 3.24901i −0.0816789 0.178852i
\(331\) −2.85180 + 8.23974i −0.156749 + 0.452897i −0.995843 0.0910902i \(-0.970965\pi\)
0.839093 + 0.543987i \(0.183086\pi\)
\(332\) 19.5728 10.0905i 1.07420 0.553787i
\(333\) 6.06927 7.71770i 0.332594 0.422927i
\(334\) −0.761363 1.90179i −0.0416599 0.104061i
\(335\) 1.20316 1.87216i 0.0657357 0.102287i
\(336\) −5.99323 + 7.92530i −0.326957 + 0.432361i
\(337\) 11.6135 5.30369i 0.632626 0.288911i −0.0731769 0.997319i \(-0.523314\pi\)
0.705803 + 0.708408i \(0.250586\pi\)
\(338\) −1.52075 0.784000i −0.0827178 0.0426440i
\(339\) 5.88450 5.61086i 0.319602 0.304740i
\(340\) −10.7529 31.0685i −0.583158 1.68492i
\(341\) −21.9353 20.9153i −1.18787 1.13263i
\(342\) −0.273086 + 0.597976i −0.0147668 + 0.0323348i
\(343\) −12.9032 13.2857i −0.696705 0.717358i
\(344\) 9.50978i 0.512733i
\(345\) 6.13035 + 15.0115i 0.330047 + 0.808194i
\(346\) 2.66969 + 1.54135i 0.143524 + 0.0828634i
\(347\) 9.82983 + 3.93527i 0.527693 + 0.211256i 0.620183 0.784457i \(-0.287058\pi\)
−0.0924899 + 0.995714i \(0.529483\pi\)
\(348\) 1.02617 + 10.7466i 0.0550087 + 0.576077i
\(349\) 1.89485 + 6.45328i 0.101429 + 0.345436i 0.994534 0.104412i \(-0.0332962\pi\)
−0.893105 + 0.449849i \(0.851478\pi\)
\(350\) −1.66644 + 3.01684i −0.0890748 + 0.161257i
\(351\) 2.04723 + 0.601121i 0.109273 + 0.0320855i
\(352\) 5.65083 10.9611i 0.301190 0.584227i
\(353\) −1.11724 + 11.7002i −0.0594645 + 0.622741i 0.915790 + 0.401657i \(0.131566\pi\)
−0.975255 + 0.221084i \(0.929041\pi\)
\(354\) 0.880242 0.169653i 0.0467843 0.00901694i
\(355\) 1.80377 37.8658i 0.0957342 2.00971i
\(356\) 2.41269 16.7806i 0.127872 0.889371i
\(357\) −7.30792 10.9115i −0.386776 0.577498i
\(358\) −0.818389 0.525947i −0.0432532 0.0277972i
\(359\) −19.0171 6.58188i −1.00368 0.347378i −0.224704 0.974427i \(-0.572142\pi\)
−0.778980 + 0.627049i \(0.784263\pi\)
\(360\) 2.69882 + 0.257706i 0.142240 + 0.0135823i
\(361\) −0.402797 8.45574i −0.0211998 0.445039i
\(362\) 0.241339 + 0.994814i 0.0126845 + 0.0522863i
\(363\) −12.2468 10.6119i −0.642789 0.556980i
\(364\) −11.0541 0.316988i −0.579394 0.0166147i
\(365\) −22.8371 10.4294i −1.19535 0.545899i
\(366\) −1.05985 1.34771i −0.0553993 0.0704459i
\(367\) 13.0823 22.6592i 0.682890 1.18280i −0.291205 0.956661i \(-0.594056\pi\)
0.974095 0.226140i \(-0.0726105\pi\)
\(368\) −8.89755 + 15.6598i −0.463817 + 0.816324i
\(369\) −4.21585 + 2.43402i −0.219468 + 0.126710i
\(370\) 6.65510 0.956859i 0.345982 0.0497447i
\(371\) 1.75329 1.90993i 0.0910265 0.0991584i
\(372\) 10.9223 3.20707i 0.566295 0.166279i
\(373\) −3.72704 + 19.3377i −0.192979 + 1.00127i 0.748229 + 0.663440i \(0.230904\pi\)
−0.941208 + 0.337828i \(0.890308\pi\)
\(374\) 3.61854 + 3.79501i 0.187110 + 0.196235i
\(375\) −4.83499 + 0.230319i −0.249678 + 0.0118936i
\(376\) 6.90624 + 4.91791i 0.356162 + 0.253622i
\(377\) −8.88616 + 7.69990i −0.457661 + 0.396565i
\(378\) 0.528873 0.0862891i 0.0272023 0.00443823i
\(379\) −12.9554 1.86271i −0.665477 0.0956811i −0.198706 0.980059i \(-0.563674\pi\)
−0.466771 + 0.884378i \(0.654583\pi\)
\(380\) 19.9579 7.98993i 1.02382 0.409875i
\(381\) −2.08531 4.04494i −0.106834 0.207228i
\(382\) 0.0596626 + 0.309559i 0.00305260 + 0.0158384i
\(383\) 1.79775 2.52458i 0.0918605 0.129000i −0.766088 0.642736i \(-0.777799\pi\)
0.857949 + 0.513736i \(0.171739\pi\)
\(384\) 3.32655 + 5.17621i 0.169757 + 0.264147i
\(385\) −3.55506 + 46.5224i −0.181183 + 2.37100i
\(386\) −1.28017 + 1.47739i −0.0651588 + 0.0751972i
\(387\) −8.18425 + 8.58339i −0.416029 + 0.436318i
\(388\) −4.81262 6.75838i −0.244324 0.343105i
\(389\) −8.24978 + 20.6069i −0.418280 + 1.04481i 0.558296 + 0.829642i \(0.311455\pi\)
−0.976576 + 0.215172i \(0.930969\pi\)
\(390\) 0.730561 + 1.26537i 0.0369934 + 0.0640745i
\(391\) −15.7128 17.8825i −0.794631 0.904357i
\(392\) −5.12815 + 2.28187i −0.259011 + 0.115252i
\(393\) −0.0270176 0.187911i −0.00136286 0.00947887i
\(394\) 1.32938 0.126941i 0.0669733 0.00639517i
\(395\) −35.0933 8.51354i −1.76573 0.428363i
\(396\) 9.65572 3.34188i 0.485218 0.167936i
\(397\) −17.5949 + 4.26847i −0.883062 + 0.214229i −0.651552 0.758604i \(-0.725882\pi\)
−0.231510 + 0.972832i \(0.574367\pi\)
\(398\) −2.79586 + 1.79679i −0.140144 + 0.0900649i
\(399\) 6.89950 5.11268i 0.345407 0.255954i
\(400\) −15.8177 18.2546i −0.790887 0.912732i
\(401\) −28.0800 1.33761i −1.40225 0.0667973i −0.667233 0.744849i \(-0.732521\pi\)
−0.735014 + 0.678052i \(0.762824\pi\)
\(402\) −0.104790 0.0824079i −0.00522646 0.00411013i
\(403\) 9.74584 + 7.66421i 0.485475 + 0.381782i
\(404\) −16.0422 0.764184i −0.798129 0.0380196i
\(405\) 2.21413 + 2.55524i 0.110021 + 0.126971i
\(406\) −1.17566 + 2.70891i −0.0583472 + 0.134441i
\(407\) 43.0810 27.6865i 2.13545 1.37237i
\(408\) −3.86791 + 0.938345i −0.191490 + 0.0464550i
\(409\) 14.2977 4.94849i 0.706977 0.244687i 0.0501644 0.998741i \(-0.484025\pi\)
0.656813 + 0.754054i \(0.271904\pi\)
\(410\) −3.23965 0.785930i −0.159995 0.0388143i
\(411\) 5.21914 0.498368i 0.257441 0.0245827i
\(412\) 0.726867 + 5.05547i 0.0358102 + 0.249065i
\(413\) −11.1367 3.61985i −0.547999 0.178121i
\(414\) 0.930082 0.280089i 0.0457110 0.0137656i
\(415\) 19.0032 + 32.9145i 0.932830 + 1.61571i
\(416\) −1.87492 + 4.68332i −0.0919255 + 0.229619i
\(417\) 1.63153 + 2.29116i 0.0798962 + 0.112199i
\(418\) −2.36614 + 2.48153i −0.115732 + 0.121376i
\(419\) −10.1456 + 11.7087i −0.495647 + 0.572008i −0.947366 0.320153i \(-0.896266\pi\)
0.451718 + 0.892161i \(0.350811\pi\)
\(420\) −14.4645 9.89286i −0.705795 0.482722i
\(421\) 20.2861 + 31.5658i 0.988686 + 1.53843i 0.834959 + 0.550312i \(0.185491\pi\)
0.153726 + 0.988113i \(0.450873\pi\)
\(422\) −2.82963 + 3.97366i −0.137744 + 0.193435i
\(423\) 2.00105 + 10.3824i 0.0972944 + 0.504811i
\(424\) −0.360053 0.698405i −0.0174857 0.0339176i
\(425\) 29.6378 11.8652i 1.43764 0.575545i
\(426\) −2.24776 0.323179i −0.108904 0.0156581i
\(427\) 3.60650 + 22.1045i 0.174531 + 1.06971i
\(428\) 11.7514 10.1826i 0.568024 0.492196i
\(429\) 9.06524 + 6.45533i 0.437674 + 0.311666i
\(430\) −8.11240 + 0.386441i −0.391215 + 0.0186359i
\(431\) −18.6052 19.5126i −0.896182 0.939889i 0.102312 0.994752i \(-0.467376\pi\)
−0.998494 + 0.0548635i \(0.982528\pi\)
\(432\) −0.710743 + 3.68768i −0.0341956 + 0.177424i
\(433\) 16.6979 4.90295i 0.802451 0.235621i 0.145308 0.989386i \(-0.453583\pi\)
0.657143 + 0.753766i \(0.271765\pi\)
\(434\) 3.03944 + 0.676703i 0.145898 + 0.0324828i
\(435\) −18.4426 + 2.65165i −0.884256 + 0.127137i
\(436\) −22.3885 + 12.9260i −1.07221 + 0.619043i
\(437\) 11.1911 10.8193i 0.535344 0.517555i
\(438\) −0.751968 + 1.30245i −0.0359304 + 0.0622333i
\(439\) −8.88628 11.2998i −0.424119 0.539311i 0.526293 0.850303i \(-0.323581\pi\)
−0.950413 + 0.310992i \(0.899339\pi\)
\(440\) 12.8627 + 5.87422i 0.613207 + 0.280042i
\(441\) −6.59240 2.35377i −0.313924 0.112084i
\(442\) −1.62112 1.40470i −0.0771086 0.0668150i
\(443\) 6.32017 + 26.0521i 0.300280 + 1.23777i 0.899405 + 0.437117i \(0.144000\pi\)
−0.599124 + 0.800656i \(0.704484\pi\)
\(444\) 0.915182 + 19.2120i 0.0434326 + 0.911763i
\(445\) 29.1276 + 2.78135i 1.38078 + 0.131849i
\(446\) 2.82525 + 0.977828i 0.133779 + 0.0463015i
\(447\) 14.2637 + 9.16671i 0.674649 + 0.433570i
\(448\) −1.23694 18.5644i −0.0584401 0.877085i
\(449\) −4.70183 + 32.7020i −0.221893 + 1.54330i 0.508974 + 0.860782i \(0.330025\pi\)
−0.730867 + 0.682520i \(0.760884\pi\)
\(450\) −0.0619828 + 1.30118i −0.00292190 + 0.0613382i
\(451\) −24.9320 + 4.80525i −1.17400 + 0.226270i
\(452\) −1.51405 + 15.8558i −0.0712149 + 0.745796i
\(453\) −7.78060 + 15.0923i −0.365565 + 0.709097i
\(454\) −3.68180 1.08107i −0.172795 0.0507373i
\(455\) −0.361321 19.0832i −0.0169390 0.894632i
\(456\) −0.733226 2.49714i −0.0343365 0.116939i
\(457\) −0.988777 10.3549i −0.0462530 0.484383i −0.988687 0.149992i \(-0.952075\pi\)
0.942434 0.334392i \(-0.108531\pi\)
\(458\) −3.62629 1.45175i −0.169446 0.0678358i
\(459\) −4.29867 2.48184i −0.200645 0.115842i
\(460\) −28.3336 14.3602i −1.32106 0.669547i
\(461\) 7.73506i 0.360258i −0.983643 0.180129i \(-0.942349\pi\)
0.983643 0.180129i \(-0.0576515\pi\)
\(462\) 2.75400 + 0.476905i 0.128128 + 0.0221876i
\(463\) 4.88304 10.6924i 0.226934 0.496917i −0.761575 0.648077i \(-0.775574\pi\)
0.988509 + 0.151160i \(0.0483008\pi\)
\(464\) −14.9784 14.2818i −0.695353 0.663018i
\(465\) 6.42591 + 18.5665i 0.297994 + 0.860999i
\(466\) 0.260906 0.248774i 0.0120862 0.0115242i
\(467\) 27.3275 + 14.0883i 1.26457 + 0.651929i 0.954337 0.298733i \(-0.0965642\pi\)
0.310228 + 0.950662i \(0.399594\pi\)
\(468\) −3.80207 + 1.73635i −0.175751 + 0.0802627i
\(469\) 0.677719 + 1.60416i 0.0312942 + 0.0740732i
\(470\) −3.91462 + 6.09127i −0.180568 + 0.280969i
\(471\) 2.70572 + 6.75856i 0.124673 + 0.311418i
\(472\) −2.19384 + 2.78970i −0.100980 + 0.128406i
\(473\) −54.9825 + 28.3454i −2.52810 + 1.30332i
\(474\) −0.707511 + 2.04422i −0.0324971 + 0.0938941i
\(475\) 8.67190 + 18.9888i 0.397894 + 0.871266i
\(476\) 24.8173 + 6.77943i 1.13750 + 0.310735i
\(477\) 0.276078 0.940237i 0.0126408 0.0430505i
\(478\) 5.07483 + 0.978093i 0.232117 + 0.0447369i
\(479\) −1.62528 + 6.69951i −0.0742611 + 0.306108i −0.996814 0.0797625i \(-0.974584\pi\)
0.922553 + 0.385871i \(0.126099\pi\)
\(480\) −6.51171 + 4.63696i −0.297217 + 0.211648i
\(481\) −16.4669 + 12.9497i −0.750828 + 0.590457i
\(482\) 3.65403 0.166436
\(483\) −12.4041 2.67187i −0.564405 0.121574i
\(484\) 31.7449 1.44295
\(485\) 11.2561 8.85189i 0.511113 0.401944i
\(486\) 0.164983 0.117484i 0.00748378 0.00532918i
\(487\) 6.59097 27.1684i 0.298665 1.23112i −0.602669 0.797992i \(-0.705896\pi\)
0.901334 0.433124i \(-0.142589\pi\)
\(488\) 6.66511 + 1.28460i 0.301716 + 0.0581509i
\(489\) 3.60458 12.2761i 0.163005 0.555143i
\(490\) −2.15496 4.28189i −0.0973511 0.193436i
\(491\) 5.15413 + 11.2860i 0.232602 + 0.509328i 0.989558 0.144139i \(-0.0460411\pi\)
−0.756955 + 0.653467i \(0.773314\pi\)
\(492\) 3.11905 9.01189i 0.140617 0.406287i
\(493\) 24.3129 12.5342i 1.09500 0.564510i
\(494\) 0.867048 1.10254i 0.0390103 0.0496057i
\(495\) 6.55429 + 16.3718i 0.294594 + 0.735859i
\(496\) −11.7985 + 18.3588i −0.529766 + 0.824332i
\(497\) 23.6607 + 17.8925i 1.06133 + 0.802590i
\(498\) 2.07098 0.945784i 0.0928028 0.0423816i
\(499\) 21.5849 + 11.1278i 0.966272 + 0.498148i 0.867758 0.496988i \(-0.165561\pi\)
0.0985147 + 0.995136i \(0.468591\pi\)
\(500\) 6.86272 6.54359i 0.306910 0.292638i
\(501\) 3.30806 + 9.55801i 0.147793 + 0.427020i
\(502\) −3.36159 3.20527i −0.150035 0.143058i
\(503\) −3.70179 + 8.10579i −0.165055 + 0.361419i −0.974029 0.226425i \(-0.927296\pi\)
0.808974 + 0.587845i \(0.200023\pi\)
\(504\) −1.35868 + 1.62932i −0.0605202 + 0.0725758i
\(505\) 27.7192i 1.23349i
\(506\) 5.06215 + 0.206109i 0.225040 + 0.00916265i
\(507\) 7.31575 + 4.22375i 0.324904 + 0.187583i
\(508\) 8.27637 + 3.31336i 0.367205 + 0.147007i
\(509\) −1.96616 20.5906i −0.0871487 0.912663i −0.928292 0.371851i \(-0.878723\pi\)
0.841144 0.540812i \(-0.181883\pi\)
\(510\) −0.957640 3.26142i −0.0424050 0.144418i
\(511\) 16.8248 10.1432i 0.744286 0.448711i
\(512\) −14.2985 4.19841i −0.631910 0.185545i
\(513\) 1.48727 2.88491i 0.0656647 0.127372i
\(514\) −0.123919 + 1.29774i −0.00546582 + 0.0572407i
\(515\) −8.65584 + 1.66828i −0.381422 + 0.0735131i
\(516\) 1.10548 23.2069i 0.0486661 1.02163i
\(517\) −7.84860 + 54.5882i −0.345181 + 2.40079i
\(518\) −2.32191 + 4.72123i −0.102019 + 0.207439i
\(519\) −12.8041 8.22872i −0.562039 0.361201i
\(520\) −5.46641 1.89194i −0.239718 0.0829671i
\(521\) 2.63538 + 0.251648i 0.115458 + 0.0110249i 0.152625 0.988284i \(-0.451227\pi\)
−0.0371670 + 0.999309i \(0.511833\pi\)
\(522\) 0.0531081 + 1.11488i 0.00232448 + 0.0487968i
\(523\) 10.2987 + 42.4519i 0.450332 + 1.85629i 0.513197 + 0.858271i \(0.328461\pi\)
−0.0628654 + 0.998022i \(0.520024\pi\)
\(524\) 0.281063 + 0.243542i 0.0122783 + 0.0106392i
\(525\) 8.92718 14.4868i 0.389614 0.632256i
\(526\) −0.941885 0.430145i −0.0410682 0.0187552i
\(527\) −17.8298 22.6724i −0.776678 0.987626i
\(528\) −9.79415 + 16.9640i −0.426236 + 0.738262i
\(529\) −22.9239 1.86982i −0.996690 0.0812965i
\(530\) 0.581150 0.335527i 0.0252435 0.0145744i
\(531\) −4.38098 + 0.629890i −0.190118 + 0.0273349i
\(532\) −3.65585 + 16.4204i −0.158501 + 0.711914i
\(533\) 9.96600 2.92628i 0.431675 0.126751i
\(534\) 0.331717 1.72111i 0.0143548 0.0744798i
\(535\) 18.5197 + 19.4229i 0.800677 + 0.839726i
\(536\) 0.527181 0.0251127i 0.0227707 0.00108470i
\(537\) 3.91252 + 2.78610i 0.168838 + 0.120229i
\(538\) −2.00933 + 1.74109i −0.0866283 + 0.0750639i
\(539\) −28.4783 22.8478i −1.22665 0.984125i
\(540\) −6.55603 0.942614i −0.282126 0.0405637i
\(541\) −30.5749 + 12.2403i −1.31452 + 0.526253i −0.919741 0.392525i \(-0.871602\pi\)
−0.394775 + 0.918778i \(0.629177\pi\)
\(542\) −0.288898 0.560383i −0.0124092 0.0240705i
\(543\) −0.956513 4.96286i −0.0410479 0.212977i
\(544\) 6.80743 9.55970i 0.291866 0.409869i
\(545\) −24.1228 37.5358i −1.03331 1.60786i
\(546\) −1.14003 0.0871170i −0.0487889 0.00372826i
\(547\) 12.8418 14.8202i 0.549076 0.633668i −0.411592 0.911368i \(-0.635027\pi\)
0.960668 + 0.277701i \(0.0895724\pi\)
\(548\) −7.08759 + 7.43325i −0.302767 + 0.317533i
\(549\) 4.91030 + 6.89554i 0.209566 + 0.294295i
\(550\) −2.52523 + 6.30772i −0.107676 + 0.268962i
\(551\) 8.94318 + 15.4900i 0.380992 + 0.659898i
\(552\) −2.05665 + 3.24934i −0.0875368 + 0.138301i
\(553\) 21.0016 18.9058i 0.893079 0.803957i
\(554\) −0.485501 3.37673i −0.0206269 0.143464i
\(555\) −33.0460 + 3.15551i −1.40273 + 0.133944i
\(556\) −5.35470 1.29904i −0.227090 0.0550914i
\(557\) 26.0706 9.02311i 1.10465 0.382322i 0.286934 0.957950i \(-0.407364\pi\)
0.817711 + 0.575629i \(0.195243\pi\)
\(558\) 1.14375 0.277471i 0.0484189 0.0117463i
\(559\) 21.2878 13.6809i 0.900380 0.578639i
\(560\) 33.3766 3.82595i 1.41042 0.161676i
\(561\) −16.9541 19.5661i −0.715804 0.826082i
\(562\) 1.99238 + 0.0949086i 0.0840433 + 0.00400348i
\(563\) 9.72028 + 7.64412i 0.409661 + 0.322161i 0.801633 0.597816i \(-0.203965\pi\)
−0.391972 + 0.919977i \(0.628207\pi\)
\(564\) −16.2817 12.8041i −0.685585 0.539150i
\(565\) −27.4595 1.30806i −1.15523 0.0550304i
\(566\) 3.89155 + 4.49108i 0.163574 + 0.188774i
\(567\) −2.62854 + 0.301309i −0.110388 + 0.0126538i
\(568\) 7.56315 4.86054i 0.317343 0.203944i
\(569\) −3.02742 + 0.734444i −0.126916 + 0.0307895i −0.298714 0.954343i \(-0.596558\pi\)
0.171798 + 0.985132i \(0.445042\pi\)
\(570\) 2.10041 0.726960i 0.0879766 0.0304490i
\(571\) 2.85414 + 0.692407i 0.119442 + 0.0289763i 0.295034 0.955487i \(-0.404669\pi\)
−0.175592 + 0.984463i \(0.556184\pi\)
\(572\) −21.7023 + 2.07232i −0.907420 + 0.0866481i
\(573\) −0.221516 1.54068i −0.00925398 0.0643629i
\(574\) 1.93877 1.74530i 0.0809227 0.0728473i
\(575\) 12.6194 28.1455i 0.526266 1.17375i
\(576\) −3.51612 6.09009i −0.146505 0.253754i
\(577\) −12.7127 + 31.7549i −0.529238 + 1.32197i 0.387273 + 0.921965i \(0.373417\pi\)
−0.916512 + 0.400008i \(0.869007\pi\)
\(578\) 0.897354 + 1.26016i 0.0373250 + 0.0524156i
\(579\) 6.66053 6.98536i 0.276802 0.290302i
\(580\) 23.9026 27.5850i 0.992500 1.14541i
\(581\) −29.6543 2.26607i −1.23027 0.0940123i
\(582\) −0.463765 0.721632i −0.0192237 0.0299126i
\(583\) 2.96476 4.16342i 0.122788 0.172431i
\(584\) −1.12681 5.84645i −0.0466278 0.241928i
\(585\) −3.30567 6.41210i −0.136673 0.265108i
\(586\) −4.76107 + 1.90604i −0.196678 + 0.0787380i
\(587\) 17.3947 + 2.50097i 0.717954 + 0.103226i 0.491603 0.870820i \(-0.336411\pi\)
0.226351 + 0.974046i \(0.427320\pi\)
\(588\) 12.7796 4.97236i 0.527021 0.205057i
\(589\) 14.2538 12.3510i 0.587318 0.508914i
\(590\) −2.46893 1.75811i −0.101644 0.0723804i
\(591\) −6.58599 + 0.313729i −0.270911 + 0.0129051i
\(592\) −25.4454 26.6863i −1.04580 1.09680i
\(593\) −2.14286 + 11.1182i −0.0879969 + 0.456571i 0.911025 + 0.412351i \(0.135292\pi\)
−0.999022 + 0.0442199i \(0.985920\pi\)
\(594\) 1.01361 0.297624i 0.0415891 0.0122116i
\(595\) −9.64953 + 43.3412i −0.395592 + 1.77682i
\(596\) −32.8769 + 4.72699i −1.34669 + 0.193625i
\(597\) 14.2106 8.20448i 0.581600 0.335787i
\(598\) −2.06943 + 0.112909i −0.0846253 + 0.00461721i
\(599\) −14.8837 + 25.7792i −0.608130 + 1.05331i 0.383419 + 0.923575i \(0.374747\pi\)
−0.991548 + 0.129737i \(0.958587\pi\)
\(600\) −3.18796 4.05382i −0.130148 0.165496i
\(601\) 2.56739 + 1.17249i 0.104726 + 0.0478268i 0.467089 0.884210i \(-0.345303\pi\)
−0.362363 + 0.932037i \(0.618030\pi\)
\(602\) 3.33411 5.41051i 0.135888 0.220516i
\(603\) 0.497438 + 0.431032i 0.0202572 + 0.0175530i
\(604\) −7.84207 32.3255i −0.319089 1.31530i
\(605\) 2.60700 + 54.7276i 0.105989 + 2.22499i
\(606\) −1.65296 0.157839i −0.0671470 0.00641176i
\(607\) 35.3160 + 12.2230i 1.43343 + 0.496116i 0.929885 0.367851i \(-0.119906\pi\)
0.503549 + 0.863967i \(0.332027\pi\)
\(608\) 6.45574 + 4.14885i 0.261815 + 0.168258i
\(609\) 6.43446 13.0835i 0.260738 0.530169i
\(610\) −0.824991 + 5.73794i −0.0334029 + 0.232322i
\(611\) 1.07346 22.5347i 0.0434276 0.911657i
\(612\) 9.54802 1.84023i 0.385956 0.0743869i
\(613\) 0.887989 9.29944i 0.0358655 0.375601i −0.959664 0.281150i \(-0.909284\pi\)
0.995529 0.0944513i \(-0.0301097\pi\)
\(614\) 1.75379 3.40187i 0.0707771 0.137288i
\(615\) 15.7925 + 4.63709i 0.636814 + 0.186985i
\(616\) −9.47636 + 5.71306i −0.381814 + 0.230186i
\(617\) −2.93336 9.99011i −0.118093 0.402187i 0.879137 0.476569i \(-0.158120\pi\)
−0.997230 + 0.0743822i \(0.976302\pi\)
\(618\) 0.0501952 + 0.525668i 0.00201915 + 0.0211455i
\(619\) −34.5855 13.8460i −1.39011 0.556516i −0.448670 0.893697i \(-0.648102\pi\)
−0.941440 + 0.337181i \(0.890527\pi\)
\(620\) −33.3317 19.2440i −1.33863 0.772859i
\(621\) −4.65272 + 1.16282i −0.186707 + 0.0466625i
\(622\) 2.06769i 0.0829066i
\(623\) −14.6638 + 17.5848i −0.587493 + 0.704521i
\(624\) 3.32875 7.28894i 0.133257 0.291791i
\(625\) −11.4294 10.8979i −0.457175 0.435915i
\(626\) −0.199936 0.577678i −0.00799106 0.0230887i
\(627\) 12.2522 11.6824i 0.489304 0.466550i
\(628\) −12.6761 6.53497i −0.505831 0.260774i
\(629\) 44.3308 20.2452i 1.76758 0.807229i
\(630\) −1.44512 1.09282i −0.0575749 0.0435390i
\(631\) −7.49428 + 11.6613i −0.298343 + 0.464230i −0.957769 0.287539i \(-0.907163\pi\)
0.659426 + 0.751769i \(0.270799\pi\)
\(632\) −3.18293 7.95057i −0.126610 0.316257i
\(633\) 14.8885 18.9323i 0.591766 0.752492i
\(634\) 1.75342 0.903950i 0.0696371 0.0359004i
\(635\) −5.03249 + 14.5404i −0.199708 + 0.577019i
\(636\) 0.797457 + 1.74619i 0.0316212 + 0.0692408i
\(637\) 12.4854 + 8.19675i 0.494690 + 0.324767i
\(638\) −1.64013 + 5.58578i −0.0649335 + 0.221143i
\(639\) 11.0094 + 2.12189i 0.435526 + 0.0839408i
\(640\) 4.90464 20.2172i 0.193873 0.799155i
\(641\) 16.2850 11.5965i 0.643218 0.458033i −0.211324 0.977416i \(-0.567777\pi\)
0.854542 + 0.519383i \(0.173838\pi\)
\(642\) 1.26369 0.993778i 0.0498739 0.0392213i
\(643\) 38.5470 1.52015 0.760073 0.649837i \(-0.225163\pi\)
0.760073 + 0.649837i \(0.225163\pi\)
\(644\) 21.7918 11.9570i 0.858718 0.471171i
\(645\) 40.0991 1.57890
\(646\) −2.56492 + 2.01707i −0.100915 + 0.0793607i
\(647\) 3.10671 2.21228i 0.122137 0.0869737i −0.517356 0.855770i \(-0.673084\pi\)
0.639493 + 0.768797i \(0.279144\pi\)
\(648\) −0.189042 + 0.779243i −0.00742628 + 0.0306115i
\(649\) −22.6682 4.36894i −0.889806 0.171496i
\(650\) 0.783053 2.66683i 0.0307139 0.104602i
\(651\) −14.8308 4.05137i −0.581263 0.158786i
\(652\) 10.4119 + 22.7988i 0.407761 + 0.892871i
\(653\) −7.62737 + 22.0378i −0.298482 + 0.862407i 0.691646 + 0.722237i \(0.256886\pi\)
−0.990127 + 0.140170i \(0.955235\pi\)
\(654\) −2.37571 + 1.22476i −0.0928976 + 0.0478920i
\(655\) −0.396780 + 0.504547i −0.0155035 + 0.0197143i
\(656\) 6.79480 + 16.9726i 0.265292 + 0.662668i
\(657\) 4.01449 6.24667i 0.156620 0.243706i
\(658\) −2.20504 5.21932i −0.0859613 0.203470i
\(659\) −8.13283 + 3.71414i −0.316810 + 0.144682i −0.567473 0.823392i \(-0.692079\pi\)
0.250663 + 0.968075i \(0.419352\pi\)
\(660\) −30.7063 15.8302i −1.19524 0.616190i
\(661\) 5.98707 5.70866i 0.232870 0.222041i −0.564655 0.825327i \(-0.690991\pi\)
0.797525 + 0.603286i \(0.206142\pi\)
\(662\) −0.577600 1.66886i −0.0224490 0.0648623i
\(663\) 7.66492 + 7.30848i 0.297681 + 0.283838i
\(664\) −3.74434 + 8.19896i −0.145309 + 0.318181i
\(665\) −28.6087 4.95411i −1.10940 0.192112i
\(666\) 1.98858i 0.0770560i
\(667\) 8.47127 25.0342i 0.328009 0.969329i
\(668\) −17.1591 9.90683i −0.663907 0.383307i
\(669\) −13.7037 5.48613i −0.529815 0.212106i
\(670\) 0.0428452 + 0.448696i 0.00165526 + 0.0173346i
\(671\) 12.4393 + 42.3645i 0.480215 + 1.63546i
\(672\) −0.118419 6.25432i −0.00456813 0.241266i
\(673\) −26.5613 7.79909i −1.02386 0.300633i −0.273649 0.961830i \(-0.588231\pi\)
−0.750212 + 0.661197i \(0.770049\pi\)
\(674\) −1.18491 + 2.29840i −0.0456409 + 0.0885310i
\(675\) 0.611366 6.40252i 0.0235315 0.246433i
\(676\) −16.2494 + 3.13182i −0.624978 + 0.120455i
\(677\) 0.358723 7.53052i 0.0137868 0.289421i −0.981436 0.191791i \(-0.938571\pi\)
0.995223 0.0976307i \(-0.0311264\pi\)
\(678\) −0.234363 + 1.63003i −0.00900065 + 0.0626009i
\(679\) 0.744969 + 11.1807i 0.0285893 + 0.429076i
\(680\) 11.3208 + 7.27541i 0.434131 + 0.278999i
\(681\) 17.9037 + 6.19653i 0.686071 + 0.237451i
\(682\) 6.11085 + 0.583516i 0.233997 + 0.0223440i
\(683\) −0.216300 4.54070i −0.00827650 0.173745i −0.999221 0.0394709i \(-0.987433\pi\)
0.990944 0.134274i \(-0.0428703\pi\)
\(684\) 1.49902 + 6.17906i 0.0573166 + 0.236262i
\(685\) −13.3968 11.6084i −0.511867 0.443535i
\(686\) 3.71764 + 0.499669i 0.141940 + 0.0190774i
\(687\) 17.5429 + 8.01157i 0.669303 + 0.305660i
\(688\) 27.5330 + 35.0111i 1.04969 + 1.33479i
\(689\) −1.04542 + 1.81072i −0.0398273 + 0.0689829i
\(690\) −2.85545 1.62240i −0.108705 0.0617638i
\(691\) −25.6091 + 14.7854i −0.974217 + 0.562464i −0.900519 0.434816i \(-0.856813\pi\)
−0.0736976 + 0.997281i \(0.523480\pi\)
\(692\) 29.5128 4.24329i 1.12191 0.161306i
\(693\) −13.4700 2.99896i −0.511682 0.113921i
\(694\) −2.05767 + 0.604186i −0.0781080 + 0.0229346i
\(695\) 1.79977 9.33808i 0.0682691 0.354214i
\(696\) −3.04931 3.19802i −0.115584 0.121221i
\(697\) −24.1360 + 1.14974i −0.914217 + 0.0435495i
\(698\) −1.10963 0.790163i −0.0420001 0.0299081i
\(699\) −1.34517 + 1.16559i −0.0508788 + 0.0440868i
\(700\) 5.36784 + 32.9000i 0.202885 + 1.24350i
\(701\) 7.33742 + 1.05496i 0.277131 + 0.0398454i 0.279479 0.960152i \(-0.409838\pi\)
−0.00234816 + 0.999997i \(0.500747\pi\)
\(702\) −0.401192 + 0.160613i −0.0151420 + 0.00606195i
\(703\) 14.6025 + 28.3249i 0.550743 + 1.06829i
\(704\) −6.94153 36.0161i −0.261619 1.35741i
\(705\) 20.7369 29.1209i 0.780997 1.09676i
\(706\) −1.28701 2.00263i −0.0484373 0.0753699i
\(707\) 17.9038 + 12.2452i 0.673342 + 0.460527i
\(708\) 5.67797 6.55273i 0.213391 0.246267i
\(709\) −14.6434 + 15.3576i −0.549945 + 0.576766i −0.938769 0.344546i \(-0.888033\pi\)
0.388824 + 0.921312i \(0.372881\pi\)
\(710\) 4.45366 + 6.25430i 0.167143 + 0.234720i
\(711\) 3.96950 9.91534i 0.148868 0.371854i
\(712\) 3.46962 + 6.00956i 0.130030 + 0.225218i
\(713\) −27.6111 3.77542i −1.03404 0.141391i
\(714\) 2.52960 + 0.822218i 0.0946678 + 0.0307708i
\(715\) −5.35491 37.2442i −0.200262 1.39285i
\(716\) −9.36664 + 0.894406i −0.350048 + 0.0334255i
\(717\) −24.7980 6.01592i −0.926097 0.224669i
\(718\) 3.85170 1.33308i 0.143744 0.0497503i
\(719\) 10.3020 2.49925i 0.384201 0.0932062i −0.0390064 0.999239i \(-0.512419\pi\)
0.423208 + 0.906033i \(0.360904\pi\)
\(720\) 10.6821 6.86494i 0.398097 0.255841i
\(721\) 2.74624 6.32778i 0.102275 0.235659i
\(722\) 1.12280 + 1.29577i 0.0417861 + 0.0482237i
\(723\) −18.0207 0.858433i −0.670198 0.0319255i
\(724\) 7.78276 + 6.12043i 0.289244 + 0.227464i
\(725\) 27.8603 + 21.9095i 1.03470 + 0.813700i
\(726\) 3.27838 + 0.156169i 0.121672 + 0.00579596i
\(727\) 8.47920 + 9.78551i 0.314476 + 0.362925i 0.890879 0.454241i \(-0.150090\pi\)
−0.576403 + 0.817166i \(0.695544\pi\)
\(728\) 3.63683 2.69497i 0.134790 0.0998822i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 4.94158 1.19881i 0.182896 0.0443701i
\(731\) −55.6309 + 19.2540i −2.05758 + 0.712136i
\(732\) −16.1157 3.90962i −0.595653 0.144504i
\(733\) −18.0134 + 1.72007i −0.665339 + 0.0635322i −0.422261 0.906474i \(-0.638763\pi\)
−0.243078 + 0.970007i \(0.578157\pi\)
\(734\) 0.754174 + 5.24540i 0.0278371 + 0.193611i
\(735\) 9.62176 + 21.6234i 0.354904 + 0.797592i
\(736\) −1.69118 11.2121i −0.0623377 0.413284i
\(737\) 1.71654 + 2.97313i 0.0632295 + 0.109517i
\(738\) 0.366446 0.915339i 0.0134891 0.0336941i
\(739\) 15.7594 + 22.1310i 0.579720 + 0.814102i 0.995440 0.0953902i \(-0.0304099\pi\)
−0.415720 + 0.909492i \(0.636470\pi\)
\(740\) 44.8765 47.0651i 1.64969 1.73015i
\(741\) −4.53507 + 5.23375i −0.166600 + 0.192267i
\(742\) −0.0400105 + 0.523586i −0.00146883 + 0.0192214i
\(743\) −13.2424 20.6056i −0.485818 0.755948i 0.508652 0.860972i \(-0.330144\pi\)
−0.994470 + 0.105025i \(0.966508\pi\)
\(744\) −2.70274 + 3.79546i −0.0990871 + 0.139148i
\(745\) −10.8492 56.2910i −0.397484 2.06234i
\(746\) −1.82773 3.54531i −0.0669181 0.129803i
\(747\) −10.4357 + 4.17783i −0.381823 + 0.152859i
\(748\) 50.2011 + 7.21782i 1.83553 + 0.263910i
\(749\) −20.7265 + 3.38166i −0.757329 + 0.123563i
\(750\) 0.740923 0.642013i 0.0270547 0.0234430i
\(751\) −33.5613 23.8989i −1.22467 0.872084i −0.229799 0.973238i \(-0.573807\pi\)
−0.994871 + 0.101154i \(0.967746\pi\)
\(752\) 39.6644 1.88945i 1.44641 0.0689011i
\(753\) 15.8255 + 16.5973i 0.576713 + 0.604839i
\(754\) 0.450695 2.33843i 0.0164133 0.0851605i
\(755\) 55.0845 16.1743i 2.00473 0.588642i
\(756\) 3.50501 3.81813i 0.127476 0.138864i
\(757\) 2.46383 0.354245i 0.0895494 0.0128753i −0.0973944 0.995246i \(-0.531051\pi\)
0.186944 + 0.982371i \(0.440142\pi\)
\(758\) 2.29580 1.32548i 0.0833872 0.0481436i
\(759\) −24.9168 2.20571i −0.904422 0.0800623i
\(760\) −4.39972 + 7.62054i −0.159595 + 0.276426i
\(761\) 4.92663 + 6.26471i 0.178590 + 0.227096i 0.867104 0.498128i \(-0.165979\pi\)
−0.688514 + 0.725223i \(0.741736\pi\)
\(762\) 0.838424 + 0.382895i 0.0303729 + 0.0138708i
\(763\) 34.9008 + 1.00081i 1.26349 + 0.0362319i
\(764\) 2.30443 + 1.99680i 0.0833713 + 0.0722417i
\(765\) 3.95664 + 16.3095i 0.143052 + 0.589670i
\(766\) 0.0298681 + 0.627008i 0.00107918 + 0.0226547i
\(767\) 9.40088 + 0.897675i 0.339446 + 0.0324132i
\(768\) 12.1133 + 4.19244i 0.437100 + 0.151282i
\(769\) 21.5092 + 13.8231i 0.775641 + 0.498474i 0.867584 0.497290i \(-0.165672\pi\)
−0.0919435 + 0.995764i \(0.529308\pi\)
\(770\) −5.25866 7.85174i −0.189509 0.282957i
\(771\) 0.916010 6.37099i 0.0329893 0.229446i
\(772\) −0.899667 + 18.8863i −0.0323797 + 0.679734i
\(773\) 32.1624 </