Properties

Label 483.2.bf.a.61.18
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 61.18
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0565006 + 0.0444325i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.470300 - 1.93860i) q^{4} +(4.36588 - 0.841453i) q^{5} +(-0.0202506 - 0.0689672i) q^{6} +(1.52202 - 2.16413i) q^{7} +(0.119284 - 0.261195i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(0.0565006 + 0.0444325i) q^{2} +(-0.814576 - 0.580057i) q^{3} +(-0.470300 - 1.93860i) q^{4} +(4.36588 - 0.841453i) q^{5} +(-0.0202506 - 0.0689672i) q^{6} +(1.52202 - 2.16413i) q^{7} +(0.119284 - 0.261195i) q^{8} +(0.327068 + 0.945001i) q^{9} +(0.284062 + 0.146444i) q^{10} +(-2.94340 - 3.74283i) q^{11} +(-0.741405 + 1.85194i) q^{12} +(2.81483 + 4.37996i) q^{13} +(0.182153 - 0.0546475i) q^{14} +(-4.04443 - 1.84703i) q^{15} +(-3.52781 + 1.81871i) q^{16} +(2.37319 + 2.26284i) q^{17} +(-0.0235093 + 0.0679255i) q^{18} +(-2.63586 + 2.51329i) q^{19} +(-3.68451 - 8.06796i) q^{20} +(-2.49512 + 0.879992i) q^{21} -0.342255i q^{22} +(-3.81651 + 2.90418i) q^{23} +(-0.248674 + 0.143572i) q^{24} +(13.7110 - 5.48905i) q^{25} +(-0.0355733 + 0.372540i) q^{26} +(0.281733 - 0.959493i) q^{27} +(-4.91119 - 1.93280i) q^{28} +(-1.25490 + 0.368473i) q^{29} +(-0.146444 - 0.284062i) q^{30} +(-0.457278 - 4.78884i) q^{31} +(-0.844043 - 0.162676i) q^{32} +(0.226564 + 4.75616i) q^{33} +(0.0335433 + 0.233298i) q^{34} +(4.82392 - 10.7290i) q^{35} +(1.67816 - 1.07849i) q^{36} +(-3.22837 + 1.11735i) q^{37} +(-0.260599 + 0.0248842i) q^{38} +(0.247734 - 5.20057i) q^{39} +(0.300995 - 1.24072i) q^{40} +(-1.13853 + 0.986544i) q^{41} +(-0.180076 - 0.0611444i) q^{42} +(6.41277 - 2.92862i) q^{43} +(-5.87158 + 7.46633i) q^{44} +(2.22311 + 3.85054i) q^{45} +(-0.344675 - 0.00548921i) q^{46} +(3.38890 + 1.95658i) q^{47} +(3.92863 + 0.564851i) q^{48} +(-2.36692 - 6.58769i) q^{49} +(1.01857 + 0.299079i) q^{50} +(-0.620573 - 3.21984i) q^{51} +(7.16719 - 7.51673i) q^{52} +(-3.69545 - 0.176036i) q^{53} +(0.0585507 - 0.0416938i) q^{54} +(-15.9999 - 13.8640i) q^{55} +(-0.383709 - 0.655690i) q^{56} +(3.60496 - 0.518314i) q^{57} +(-0.0872749 - 0.0349396i) q^{58} +(-2.25880 + 4.38146i) q^{59} +(-1.67856 + 8.70919i) q^{60} +(-0.636099 - 0.893277i) q^{61} +(0.186944 - 0.290890i) q^{62} +(2.54291 + 0.730490i) q^{63} +(5.15786 + 5.95249i) q^{64} +(15.9747 + 16.7538i) q^{65} +(-0.198527 + 0.278792i) q^{66} +(1.84568 + 4.61029i) q^{67} +(3.27062 - 5.66489i) q^{68} +(4.79343 - 0.151885i) q^{69} +(0.749272 - 0.391857i) q^{70} +(-1.79298 + 12.4705i) q^{71} +(0.285844 + 0.0272948i) q^{72} +(3.87269 - 0.939505i) q^{73} +(-0.232051 - 0.0803137i) q^{74} +(-14.3526 - 3.48190i) q^{75} +(6.11190 + 3.92788i) q^{76} +(-12.5799 + 0.673236i) q^{77} +(0.245072 - 0.282828i) q^{78} +(4.30944 - 0.205284i) q^{79} +(-13.8716 + 10.9088i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(-0.108162 + 0.00515241i) q^{82} +(-7.78330 + 8.98241i) q^{83} +(2.87941 + 4.42318i) q^{84} +(12.2651 + 7.88232i) q^{85} +(0.492451 + 0.119467i) q^{86} +(1.23595 + 0.427766i) q^{87} +(-1.32871 + 0.322341i) q^{88} +(-3.35284 - 0.320157i) q^{89} +(-0.0454823 + 0.316336i) q^{90} +(13.7630 + 0.574718i) q^{91} +(7.42496 + 6.03285i) q^{92} +(-2.40531 + 4.16612i) q^{93} +(0.104539 + 0.261126i) q^{94} +(-9.39301 + 13.1906i) q^{95} +(0.593176 + 0.622105i) q^{96} +(-5.86724 - 6.77115i) q^{97} +(0.158975 - 0.477377i) q^{98} +(2.57429 - 4.00567i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0565006 + 0.0444325i 0.0399519 + 0.0314185i 0.637935 0.770090i \(-0.279789\pi\)
−0.597983 + 0.801509i \(0.704031\pi\)
\(3\) −0.814576 0.580057i −0.470296 0.334896i
\(4\) −0.470300 1.93860i −0.235150 0.969301i
\(5\) 4.36588 0.841453i 1.95248 0.376309i 0.955896 0.293704i \(-0.0948880\pi\)
0.996582 0.0826055i \(-0.0263241\pi\)
\(6\) −0.0202506 0.0689672i −0.00826727 0.0281557i
\(7\) 1.52202 2.16413i 0.575269 0.817965i
\(8\) 0.119284 0.261195i 0.0421732 0.0923465i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) 0.284062 + 0.146444i 0.0898284 + 0.0463098i
\(11\) −2.94340 3.74283i −0.887467 1.12851i −0.990998 0.133880i \(-0.957256\pi\)
0.103530 0.994626i \(-0.466986\pi\)
\(12\) −0.741405 + 1.85194i −0.214025 + 0.534609i
\(13\) 2.81483 + 4.37996i 0.780693 + 1.21478i 0.972398 + 0.233330i \(0.0749621\pi\)
−0.191705 + 0.981453i \(0.561402\pi\)
\(14\) 0.182153 0.0546475i 0.0486823 0.0146052i
\(15\) −4.04443 1.84703i −1.04427 0.476901i
\(16\) −3.52781 + 1.81871i −0.881953 + 0.454678i
\(17\) 2.37319 + 2.26284i 0.575584 + 0.548818i 0.920965 0.389644i \(-0.127402\pi\)
−0.345382 + 0.938462i \(0.612250\pi\)
\(18\) −0.0235093 + 0.0679255i −0.00554118 + 0.0160102i
\(19\) −2.63586 + 2.51329i −0.604707 + 0.576587i −0.929327 0.369257i \(-0.879612\pi\)
0.324620 + 0.945845i \(0.394764\pi\)
\(20\) −3.68451 8.06796i −0.823882 1.80405i
\(21\) −2.49512 + 0.879992i −0.544479 + 0.192030i
\(22\) 0.342255i 0.0729689i
\(23\) −3.81651 + 2.90418i −0.795797 + 0.605564i
\(24\) −0.248674 + 0.143572i −0.0507603 + 0.0293065i
\(25\) 13.7110 5.48905i 2.74220 1.09781i
\(26\) −0.0355733 + 0.372540i −0.00697649 + 0.0730611i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) −4.91119 1.93280i −0.928128 0.365264i
\(29\) −1.25490 + 0.368473i −0.233030 + 0.0684236i −0.396162 0.918180i \(-0.629658\pi\)
0.163133 + 0.986604i \(0.447840\pi\)
\(30\) −0.146444 0.284062i −0.0267369 0.0518624i
\(31\) −0.457278 4.78884i −0.0821296 0.860101i −0.938852 0.344322i \(-0.888109\pi\)
0.856722 0.515779i \(-0.172497\pi\)
\(32\) −0.844043 0.162676i −0.149207 0.0287573i
\(33\) 0.226564 + 4.75616i 0.0394397 + 0.827941i
\(34\) 0.0335433 + 0.233298i 0.00575262 + 0.0400104i
\(35\) 4.82392 10.7290i 0.815392 1.81354i
\(36\) 1.67816 1.07849i 0.279693 0.179748i
\(37\) −3.22837 + 1.11735i −0.530740 + 0.183691i −0.579278 0.815130i \(-0.696665\pi\)
0.0485372 + 0.998821i \(0.484544\pi\)
\(38\) −0.260599 + 0.0248842i −0.0422748 + 0.00403675i
\(39\) 0.247734 5.20057i 0.0396691 0.832758i
\(40\) 0.300995 1.24072i 0.0475915 0.196175i
\(41\) −1.13853 + 0.986544i −0.177809 + 0.154072i −0.739218 0.673466i \(-0.764805\pi\)
0.561409 + 0.827538i \(0.310259\pi\)
\(42\) −0.180076 0.0611444i −0.0277863 0.00943478i
\(43\) 6.41277 2.92862i 0.977939 0.446610i 0.138677 0.990338i \(-0.455715\pi\)
0.839262 + 0.543728i \(0.182988\pi\)
\(44\) −5.87158 + 7.46633i −0.885174 + 1.12559i
\(45\) 2.22311 + 3.85054i 0.331402 + 0.574005i
\(46\) −0.344675 0.00548921i −0.0508195 0.000809340i
\(47\) 3.38890 + 1.95658i 0.494322 + 0.285397i 0.726366 0.687308i \(-0.241208\pi\)
−0.232044 + 0.972705i \(0.574541\pi\)
\(48\) 3.92863 + 0.564851i 0.567049 + 0.0815293i
\(49\) −2.36692 6.58769i −0.338132 0.941099i
\(50\) 1.01857 + 0.299079i 0.144048 + 0.0422962i
\(51\) −0.620573 3.21984i −0.0868976 0.450868i
\(52\) 7.16719 7.51673i 0.993910 1.04238i
\(53\) −3.69545 0.176036i −0.507610 0.0241804i −0.207785 0.978175i \(-0.566625\pi\)
−0.299825 + 0.953994i \(0.596928\pi\)
\(54\) 0.0585507 0.0416938i 0.00796775 0.00567381i
\(55\) −15.9999 13.8640i −2.15743 1.86942i
\(56\) −0.383709 0.655690i −0.0512752 0.0876202i
\(57\) 3.60496 0.518314i 0.477488 0.0686524i
\(58\) −0.0872749 0.0349396i −0.0114597 0.00458779i
\(59\) −2.25880 + 4.38146i −0.294071 + 0.570418i −0.988869 0.148786i \(-0.952463\pi\)
0.694798 + 0.719205i \(0.255494\pi\)
\(60\) −1.67856 + 8.70919i −0.216701 + 1.12435i
\(61\) −0.636099 0.893277i −0.0814442 0.114372i 0.771844 0.635812i \(-0.219335\pi\)
−0.853288 + 0.521440i \(0.825395\pi\)
\(62\) 0.186944 0.290890i 0.0237419 0.0369431i
\(63\) 2.54291 + 0.730490i 0.320376 + 0.0920331i
\(64\) 5.15786 + 5.95249i 0.644732 + 0.744061i
\(65\) 15.9747 + 16.7538i 1.98142 + 2.07805i
\(66\) −0.198527 + 0.278792i −0.0244370 + 0.0343170i
\(67\) 1.84568 + 4.61029i 0.225486 + 0.563237i 0.997366 0.0725311i \(-0.0231077\pi\)
−0.771880 + 0.635768i \(0.780683\pi\)
\(68\) 3.27062 5.66489i 0.396622 0.686969i
\(69\) 4.79343 0.151885i 0.577061 0.0182848i
\(70\) 0.749272 0.391857i 0.0895552 0.0468359i
\(71\) −1.79298 + 12.4705i −0.212788 + 1.47997i 0.551000 + 0.834505i \(0.314246\pi\)
−0.763788 + 0.645467i \(0.776663\pi\)
\(72\) 0.285844 + 0.0272948i 0.0336870 + 0.00321672i
\(73\) 3.87269 0.939505i 0.453264 0.109961i −0.00262639 0.999997i \(-0.500836\pi\)
0.455891 + 0.890036i \(0.349321\pi\)
\(74\) −0.232051 0.0803137i −0.0269754 0.00933628i
\(75\) −14.3526 3.48190i −1.65730 0.402055i
\(76\) 6.11190 + 3.92788i 0.701084 + 0.450559i
\(77\) −12.5799 + 0.673236i −1.43361 + 0.0767224i
\(78\) 0.245072 0.282828i 0.0277489 0.0320239i
\(79\) 4.30944 0.205284i 0.484850 0.0230963i 0.196266 0.980551i \(-0.437118\pi\)
0.288584 + 0.957454i \(0.406815\pi\)
\(80\) −13.8716 + 10.9088i −1.55089 + 1.21964i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) −0.108162 + 0.00515241i −0.0119445 + 0.000568988i
\(83\) −7.78330 + 8.98241i −0.854328 + 0.985947i −0.999994 0.00338636i \(-0.998922\pi\)
0.145666 + 0.989334i \(0.453468\pi\)
\(84\) 2.87941 + 4.42318i 0.314169 + 0.482609i
\(85\) 12.2651 + 7.88232i 1.33034 + 0.854958i
\(86\) 0.492451 + 0.119467i 0.0531024 + 0.0128825i
\(87\) 1.23595 + 0.427766i 0.132508 + 0.0458613i
\(88\) −1.32871 + 0.322341i −0.141641 + 0.0343617i
\(89\) −3.35284 0.320157i −0.355400 0.0339366i −0.0841707 0.996451i \(-0.526824\pi\)
−0.271229 + 0.962515i \(0.587430\pi\)
\(90\) −0.0454823 + 0.316336i −0.00479426 + 0.0333448i
\(91\) 13.7630 + 0.574718i 1.44276 + 0.0602468i
\(92\) 7.42496 + 6.03285i 0.774105 + 0.628968i
\(93\) −2.40531 + 4.16612i −0.249419 + 0.432006i
\(94\) 0.104539 + 0.261126i 0.0107824 + 0.0269330i
\(95\) −9.39301 + 13.1906i −0.963703 + 1.35333i
\(96\) 0.593176 + 0.622105i 0.0605408 + 0.0634933i
\(97\) −5.86724 6.77115i −0.595728 0.687507i 0.375182 0.926951i \(-0.377580\pi\)
−0.970910 + 0.239445i \(0.923035\pi\)
\(98\) 0.158975 0.477377i 0.0160589 0.0482223i
\(99\) 2.57429 4.00567i 0.258726 0.402585i
\(100\) −17.0894 23.9986i −1.70894 2.39986i
\(101\) 2.39520 12.4275i 0.238332 1.23658i −0.643658 0.765314i \(-0.722584\pi\)
0.881989 0.471269i \(-0.156204\pi\)
\(102\) 0.108003 0.209496i 0.0106939 0.0207432i
\(103\) 17.7924 + 7.12300i 1.75314 + 0.701850i 0.998980 + 0.0451551i \(0.0143782\pi\)
0.754156 + 0.656695i \(0.228046\pi\)
\(104\) 1.47979 0.212761i 0.145105 0.0208630i
\(105\) −10.1529 + 5.94146i −0.990822 + 0.579827i
\(106\) −0.200974 0.174145i −0.0195203 0.0169144i
\(107\) −1.35396 + 0.964147i −0.130892 + 0.0932076i −0.643628 0.765339i \(-0.722571\pi\)
0.512736 + 0.858546i \(0.328632\pi\)
\(108\) −1.99257 0.0949180i −0.191736 0.00913349i
\(109\) −6.78531 + 7.11623i −0.649915 + 0.681611i −0.963426 0.267973i \(-0.913646\pi\)
0.313511 + 0.949584i \(0.398495\pi\)
\(110\) −0.287991 1.49424i −0.0274589 0.142470i
\(111\) 3.27788 + 0.962472i 0.311122 + 0.0913538i
\(112\) −1.43346 + 10.4028i −0.135449 + 0.982969i
\(113\) −6.55955 0.943121i −0.617071 0.0887214i −0.173311 0.984867i \(-0.555447\pi\)
−0.443760 + 0.896146i \(0.646356\pi\)
\(114\) 0.226712 + 0.130892i 0.0212335 + 0.0122592i
\(115\) −14.2187 + 15.8907i −1.32590 + 1.48182i
\(116\) 1.30450 + 2.25946i 0.121120 + 0.209786i
\(117\) −3.21843 + 4.09256i −0.297544 + 0.378357i
\(118\) −0.322303 + 0.147191i −0.0296704 + 0.0135500i
\(119\) 8.50911 1.69183i 0.780029 0.155089i
\(120\) −0.964870 + 0.836065i −0.0880802 + 0.0763219i
\(121\) −2.75186 + 11.3433i −0.250169 + 1.03121i
\(122\) 0.00375057 0.0787341i 0.000339561 0.00712825i
\(123\) 1.49967 0.143201i 0.135221 0.0129120i
\(124\) −9.06859 + 3.13867i −0.814384 + 0.281861i
\(125\) 36.5397 23.4826i 3.26821 2.10035i
\(126\) 0.111218 + 0.154261i 0.00990811 + 0.0137427i
\(127\) −2.29965 15.9944i −0.204061 1.41928i −0.792074 0.610425i \(-0.790999\pi\)
0.588013 0.808852i \(-0.299910\pi\)
\(128\) 0.108738 + 2.28270i 0.00961122 + 0.201764i
\(129\) −6.92245 1.33419i −0.609488 0.117469i
\(130\) 0.158167 + 1.65640i 0.0138721 + 0.145276i
\(131\) 3.01517 + 5.84861i 0.263436 + 0.510995i 0.983040 0.183389i \(-0.0587069\pi\)
−0.719604 + 0.694385i \(0.755677\pi\)
\(132\) 9.11374 2.67604i 0.793250 0.232919i
\(133\) 1.42726 + 9.52961i 0.123759 + 0.826322i
\(134\) −0.100565 + 0.342493i −0.00868748 + 0.0295869i
\(135\) 0.422640 4.42609i 0.0363751 0.380937i
\(136\) 0.874126 0.349947i 0.0749556 0.0300077i
\(137\) −6.34909 + 3.66565i −0.542439 + 0.313177i −0.746067 0.665871i \(-0.768060\pi\)
0.203628 + 0.979048i \(0.434727\pi\)
\(138\) 0.277580 + 0.204402i 0.0236292 + 0.0173999i
\(139\) 13.4074i 1.13720i −0.822613 0.568602i \(-0.807485\pi\)
0.822613 0.568602i \(-0.192515\pi\)
\(140\) −23.0680 4.30581i −1.94960 0.363907i
\(141\) −1.62559 3.55954i −0.136899 0.299767i
\(142\) −0.655399 + 0.624921i −0.0549998 + 0.0524422i
\(143\) 8.10830 23.4274i 0.678050 1.95910i
\(144\) −2.87252 2.73894i −0.239377 0.228245i
\(145\) −5.16869 + 2.66465i −0.429237 + 0.221287i
\(146\) 0.260554 + 0.118991i 0.0215636 + 0.00984776i
\(147\) −1.89320 + 6.73913i −0.156148 + 0.555834i
\(148\) 3.68440 + 5.73303i 0.302856 + 0.471252i
\(149\) 5.37234 13.4194i 0.440119 1.09936i −0.528083 0.849193i \(-0.677089\pi\)
0.968202 0.250171i \(-0.0804869\pi\)
\(150\) −0.656220 0.834452i −0.0535801 0.0681327i
\(151\) 13.2013 + 6.80575i 1.07431 + 0.553844i 0.902237 0.431240i \(-0.141924\pi\)
0.172071 + 0.985085i \(0.444954\pi\)
\(152\) 0.342043 + 0.988268i 0.0277433 + 0.0801591i
\(153\) −1.36219 + 2.98277i −0.110126 + 0.241143i
\(154\) −0.740684 0.520918i −0.0596860 0.0419767i
\(155\) −6.02600 20.5227i −0.484020 1.64842i
\(156\) −10.1983 + 1.96557i −0.816521 + 0.157372i
\(157\) −1.11785 4.60782i −0.0892138 0.367744i 0.909651 0.415373i \(-0.136349\pi\)
−0.998865 + 0.0476284i \(0.984834\pi\)
\(158\) 0.252607 + 0.179881i 0.0200963 + 0.0143105i
\(159\) 2.90812 + 2.28697i 0.230629 + 0.181368i
\(160\) −3.82187 −0.302145
\(161\) 0.476237 + 12.6796i 0.0375327 + 0.999295i
\(162\) −0.0718788 −0.00564733
\(163\) 9.09941 + 7.15585i 0.712721 + 0.560490i 0.907344 0.420388i \(-0.138106\pi\)
−0.194624 + 0.980878i \(0.562349\pi\)
\(164\) 2.44797 + 1.74319i 0.191154 + 0.136120i
\(165\) 4.99123 + 20.5741i 0.388567 + 1.60170i
\(166\) −0.838872 + 0.161679i −0.0651091 + 0.0125488i
\(167\) −3.84920 13.1092i −0.297860 1.01442i −0.963403 0.268058i \(-0.913618\pi\)
0.665543 0.746360i \(-0.268200\pi\)
\(168\) −0.0677776 + 0.756682i −0.00522916 + 0.0583793i
\(169\) −5.86039 + 12.8325i −0.450799 + 0.987112i
\(170\) 0.342755 + 0.990327i 0.0262881 + 0.0759546i
\(171\) −3.23716 1.66887i −0.247552 0.127622i
\(172\) −8.69335 11.0545i −0.662861 0.842897i
\(173\) −3.92908 + 9.81437i −0.298722 + 0.746172i 0.700741 + 0.713416i \(0.252853\pi\)
−0.999463 + 0.0327566i \(0.989571\pi\)
\(174\) 0.0508251 + 0.0790853i 0.00385304 + 0.00599544i
\(175\) 8.98934 38.0268i 0.679530 2.87456i
\(176\) 17.1909 + 7.85081i 1.29581 + 0.591777i
\(177\) 4.38146 2.25880i 0.329331 0.169782i
\(178\) −0.175212 0.167064i −0.0131327 0.0125220i
\(179\) −4.03687 + 11.6638i −0.301730 + 0.871791i 0.687599 + 0.726090i \(0.258665\pi\)
−0.989329 + 0.145700i \(0.953457\pi\)
\(180\) 6.41914 6.12064i 0.478455 0.456206i
\(181\) 7.88016 + 17.2551i 0.585728 + 1.28256i 0.937990 + 0.346663i \(0.112685\pi\)
−0.352262 + 0.935901i \(0.614587\pi\)
\(182\) 0.752083 + 0.643998i 0.0557481 + 0.0477363i
\(183\) 1.09662i 0.0810642i
\(184\) 0.303311 + 1.34328i 0.0223604 + 0.0990276i
\(185\) −13.1545 + 7.59473i −0.967135 + 0.558376i
\(186\) −0.321013 + 0.128514i −0.0235378 + 0.00942311i
\(187\) 1.48417 15.5429i 0.108533 1.13661i
\(188\) 2.19924 7.48991i 0.160396 0.546258i
\(189\) −1.64767 2.07007i −0.119850 0.150576i
\(190\) −1.11680 + 0.327923i −0.0810215 + 0.0237901i
\(191\) 4.68785 + 9.09315i 0.339201 + 0.657957i 0.995313 0.0967058i \(-0.0308306\pi\)
−0.656112 + 0.754663i \(0.727800\pi\)
\(192\) −0.748687 7.84060i −0.0540318 0.565847i
\(193\) 11.0920 + 2.13781i 0.798420 + 0.153883i 0.572115 0.820173i \(-0.306123\pi\)
0.226305 + 0.974056i \(0.427335\pi\)
\(194\) −0.0306427 0.643270i −0.00220002 0.0461841i
\(195\) −3.29446 22.9135i −0.235921 1.64087i
\(196\) −11.6577 + 7.68671i −0.832696 + 0.549051i
\(197\) 6.20186 3.98569i 0.441864 0.283969i −0.300732 0.953709i \(-0.597231\pi\)
0.742596 + 0.669740i \(0.233594\pi\)
\(198\) 0.323431 0.111941i 0.0229852 0.00795527i
\(199\) 1.64532 0.157109i 0.116634 0.0111372i −0.0365760 0.999331i \(-0.511645\pi\)
0.153210 + 0.988194i \(0.451039\pi\)
\(200\) 0.201785 4.23600i 0.0142684 0.299530i
\(201\) 1.17078 4.82604i 0.0825807 0.340402i
\(202\) 0.687516 0.595736i 0.0483734 0.0419158i
\(203\) −1.11256 + 3.27659i −0.0780865 + 0.229972i
\(204\) −5.95013 + 2.71733i −0.416592 + 0.190251i
\(205\) −4.14056 + 5.26515i −0.289189 + 0.367734i
\(206\) 0.688787 + 1.19301i 0.0479901 + 0.0831213i
\(207\) −3.99271 2.65674i −0.277513 0.184656i
\(208\) −17.8961 10.3323i −1.24087 0.716417i
\(209\) 17.1652 + 2.46798i 1.18734 + 0.170714i
\(210\) −0.837639 0.115423i −0.0578026 0.00796496i
\(211\) 19.3196 + 5.67274i 1.33001 + 0.390528i 0.868097 0.496395i \(-0.165343\pi\)
0.461918 + 0.886923i \(0.347161\pi\)
\(212\) 1.39671 + 7.24681i 0.0959263 + 0.497713i
\(213\) 8.69410 9.11811i 0.595710 0.624762i
\(214\) −0.119339 0.00568480i −0.00815783 0.000388605i
\(215\) 25.5331 18.1820i 1.74134 1.24000i
\(216\) −0.217009 0.188039i −0.0147656 0.0127945i
\(217\) −11.0597 6.29908i −0.750778 0.427610i
\(218\) −0.699566 + 0.100582i −0.0473806 + 0.00681230i
\(219\) −3.69957 1.48108i −0.249994 0.100082i
\(220\) −19.3520 + 37.5377i −1.30471 + 2.53079i
\(221\) −3.23099 + 16.7640i −0.217340 + 1.12767i
\(222\) 0.142437 + 0.200025i 0.00955974 + 0.0134248i
\(223\) −5.68222 + 8.84170i −0.380509 + 0.592084i −0.977698 0.210017i \(-0.932648\pi\)
0.597188 + 0.802101i \(0.296285\pi\)
\(224\) −1.63670 + 1.57902i −0.109357 + 0.105503i
\(225\) 9.67158 + 11.1616i 0.644772 + 0.744107i
\(226\) −0.328713 0.344744i −0.0218657 0.0229321i
\(227\) −3.49498 + 4.90801i −0.231970 + 0.325756i −0.914111 0.405465i \(-0.867110\pi\)
0.682141 + 0.731221i \(0.261049\pi\)
\(228\) −2.70021 6.74481i −0.178826 0.446686i
\(229\) −2.19525 + 3.80228i −0.145066 + 0.251262i −0.929398 0.369080i \(-0.879673\pi\)
0.784332 + 0.620342i \(0.213006\pi\)
\(230\) −1.50943 + 0.266063i −0.0995287 + 0.0175437i
\(231\) 10.6378 + 6.74864i 0.699915 + 0.444028i
\(232\) −0.0534463 + 0.371727i −0.00350892 + 0.0244051i
\(233\) −2.19363 0.209466i −0.143709 0.0137226i 0.0229535 0.999737i \(-0.492693\pi\)
−0.166663 + 0.986014i \(0.553299\pi\)
\(234\) −0.363686 + 0.0882292i −0.0237749 + 0.00576772i
\(235\) 16.4419 + 5.69060i 1.07255 + 0.371214i
\(236\) 9.55623 + 2.31832i 0.622058 + 0.150910i
\(237\) −3.62944 2.33250i −0.235758 0.151512i
\(238\) 0.555942 + 0.282492i 0.0360364 + 0.0183113i
\(239\) −12.8502 + 14.8299i −0.831208 + 0.959265i −0.999650 0.0264461i \(-0.991581\pi\)
0.168442 + 0.985712i \(0.446126\pi\)
\(240\) 17.6272 0.839687i 1.13783 0.0542016i
\(241\) −0.506211 + 0.398089i −0.0326079 + 0.0256432i −0.634330 0.773062i \(-0.718724\pi\)
0.601722 + 0.798706i \(0.294482\pi\)
\(242\) −0.659495 + 0.518633i −0.0423940 + 0.0333390i
\(243\) 0.998867 0.0475819i 0.0640774 0.00305238i
\(244\) −1.43255 + 1.65325i −0.0917097 + 0.105839i
\(245\) −15.8769 26.7694i −1.01434 1.71023i
\(246\) 0.0910951 + 0.0585433i 0.00580801 + 0.00373258i
\(247\) −18.4276 4.47048i −1.17252 0.284450i
\(248\) −1.30537 0.451792i −0.0828909 0.0286888i
\(249\) 11.5504 2.80210i 0.731977 0.177576i
\(250\) 3.10790 + 0.296769i 0.196561 + 0.0187693i
\(251\) −2.01209 + 13.9944i −0.127002 + 0.883318i 0.822323 + 0.569021i \(0.192678\pi\)
−0.949325 + 0.314297i \(0.898231\pi\)
\(252\) 0.220200 5.27324i 0.0138713 0.332183i
\(253\) 22.1034 + 5.73639i 1.38963 + 0.360644i
\(254\) 0.580742 1.00587i 0.0364390 0.0631142i
\(255\) −5.41869 13.5352i −0.339331 0.847609i
\(256\) 9.04209 12.6978i 0.565130 0.793615i
\(257\) −20.3954 21.3901i −1.27223 1.33428i −0.916680 0.399621i \(-0.869142\pi\)
−0.355551 0.934657i \(-0.615707\pi\)
\(258\) −0.331841 0.382965i −0.0206595 0.0238424i
\(259\) −2.49554 + 8.68724i −0.155066 + 0.539799i
\(260\) 24.9661 38.8480i 1.54833 2.40925i
\(261\) −0.758645 1.06537i −0.0469590 0.0659446i
\(262\) −0.0895098 + 0.464421i −0.00552994 + 0.0286920i
\(263\) 2.21363 4.29383i 0.136498 0.264769i −0.810672 0.585500i \(-0.800898\pi\)
0.947170 + 0.320731i \(0.103929\pi\)
\(264\) 1.26931 + 0.508156i 0.0781207 + 0.0312748i
\(265\) −16.2820 + 2.34100i −1.00020 + 0.143807i
\(266\) −0.342784 + 0.601845i −0.0210174 + 0.0369015i
\(267\) 2.54543 + 2.20563i 0.155778 + 0.134982i
\(268\) 8.06950 5.74627i 0.492923 0.351009i
\(269\) −9.56088 0.455441i −0.582937 0.0277687i −0.245957 0.969281i \(-0.579102\pi\)
−0.336980 + 0.941512i \(0.609405\pi\)
\(270\) 0.220542 0.231298i 0.0134218 0.0140763i
\(271\) −1.82762 9.48261i −0.111020 0.576028i −0.994250 0.107087i \(-0.965848\pi\)
0.883229 0.468941i \(-0.155364\pi\)
\(272\) −12.4876 3.66670i −0.757174 0.222326i
\(273\) −10.8777 8.45149i −0.658346 0.511507i
\(274\) −0.521601 0.0749949i −0.0315111 0.00453061i
\(275\) −60.9014 35.1615i −3.67249 2.12032i
\(276\) −2.54879 9.22111i −0.153419 0.555046i
\(277\) −9.92157 17.1847i −0.596129 1.03253i −0.993386 0.114819i \(-0.963371\pi\)
0.397257 0.917707i \(-0.369962\pi\)
\(278\) 0.595726 0.757527i 0.0357293 0.0454335i
\(279\) 4.37589 1.99840i 0.261978 0.119641i
\(280\) −2.22696 2.53979i −0.133086 0.151781i
\(281\) −0.295274 + 0.255856i −0.0176146 + 0.0152631i −0.663624 0.748067i \(-0.730982\pi\)
0.646009 + 0.763330i \(0.276437\pi\)
\(282\) 0.0663128 0.273345i 0.00394887 0.0162775i
\(283\) 0.401420 8.42684i 0.0238619 0.500924i −0.955026 0.296524i \(-0.904173\pi\)
0.978887 0.204400i \(-0.0655243\pi\)
\(284\) 25.0185 2.38898i 1.48458 0.141760i
\(285\) 15.3026 5.29630i 0.906451 0.313726i
\(286\) 1.49906 0.963388i 0.0886414 0.0569663i
\(287\) 0.402143 + 3.96547i 0.0237378 + 0.234074i
\(288\) −0.122331 0.850827i −0.00720839 0.0501355i
\(289\) −0.297269 6.24045i −0.0174864 0.367086i
\(290\) −0.410431 0.0791041i −0.0241013 0.00464515i
\(291\) 0.851657 + 8.91895i 0.0499250 + 0.522838i
\(292\) −3.64265 7.06576i −0.213170 0.413492i
\(293\) 7.09034 2.08191i 0.414222 0.121626i −0.0679800 0.997687i \(-0.521655\pi\)
0.482202 + 0.876060i \(0.339837\pi\)
\(294\) −0.406403 + 0.296645i −0.0237019 + 0.0173007i
\(295\) −6.17485 + 21.0296i −0.359514 + 1.22439i
\(296\) −0.0932460 + 0.976516i −0.00541981 + 0.0567588i
\(297\) −4.42047 + 1.76969i −0.256502 + 0.102688i
\(298\) 0.899800 0.519500i 0.0521240 0.0300938i
\(299\) −23.4630 8.54137i −1.35690 0.493960i
\(300\) 29.4615i 1.70096i
\(301\) 3.42245 18.3355i 0.197267 1.05684i
\(302\) 0.443485 + 0.971097i 0.0255197 + 0.0558803i
\(303\) −9.15974 + 8.73379i −0.526213 + 0.501743i
\(304\) 4.72787 13.6603i 0.271162 0.783470i
\(305\) −3.52878 3.36469i −0.202057 0.192661i
\(306\) −0.209496 + 0.108003i −0.0119761 + 0.00617411i
\(307\) −16.2386 7.41594i −0.926788 0.423250i −0.105924 0.994374i \(-0.533780\pi\)
−0.820864 + 0.571124i \(0.806507\pi\)
\(308\) 7.22145 + 24.0708i 0.411480 + 1.37156i
\(309\) −10.3615 16.1228i −0.589446 0.917195i
\(310\) 0.571402 1.42729i 0.0324535 0.0810648i
\(311\) −6.88923 8.76037i −0.390653 0.496755i 0.550454 0.834866i \(-0.314455\pi\)
−0.941106 + 0.338110i \(0.890212\pi\)
\(312\) −1.32881 0.685051i −0.0752293 0.0387834i
\(313\) 2.06328 + 5.96144i 0.116623 + 0.336961i 0.988172 0.153348i \(-0.0490054\pi\)
−0.871549 + 0.490308i \(0.836884\pi\)
\(314\) 0.141578 0.310013i 0.00798973 0.0174951i
\(315\) 11.7167 + 1.04949i 0.660161 + 0.0591320i
\(316\) −2.42469 8.25775i −0.136400 0.464535i
\(317\) 29.0849 5.60566i 1.63357 0.314845i 0.711742 0.702441i \(-0.247907\pi\)
0.921829 + 0.387596i \(0.126694\pi\)
\(318\) 0.0626945 + 0.258430i 0.00351573 + 0.0144920i
\(319\) 5.07280 + 3.61233i 0.284023 + 0.202252i
\(320\) 27.5273 + 21.6477i 1.53882 + 1.21014i
\(321\) 1.66216 0.0927727
\(322\) −0.536481 + 0.737567i −0.0298969 + 0.0411030i
\(323\) −11.9426 −0.664501
\(324\) 1.56804 + 1.23312i 0.0871136 + 0.0685069i
\(325\) 62.6359 + 44.6028i 3.47441 + 2.47412i
\(326\) 0.196169 + 0.808619i 0.0108648 + 0.0447853i
\(327\) 9.65497 1.86084i 0.533921 0.102905i
\(328\) 0.121872 + 0.415058i 0.00672925 + 0.0229177i
\(329\) 9.39227 4.35607i 0.517813 0.240158i
\(330\) −0.632154 + 1.38422i −0.0347989 + 0.0761990i
\(331\) −0.766099 2.21350i −0.0421086 0.121665i 0.921986 0.387222i \(-0.126565\pi\)
−0.964095 + 0.265557i \(0.914444\pi\)
\(332\) 21.0738 + 10.8643i 1.15658 + 0.596256i
\(333\) −2.11179 2.68536i −0.115725 0.147157i
\(334\) 0.364992 0.911705i 0.0199715 0.0498863i
\(335\) 11.9374 + 18.5749i 0.652208 + 1.01486i
\(336\) 7.20185 7.64235i 0.392893 0.416924i
\(337\) −28.1465 12.8541i −1.53324 0.700205i −0.543016 0.839722i \(-0.682718\pi\)
−0.990220 + 0.139517i \(0.955445\pi\)
\(338\) −0.901294 + 0.464649i −0.0490239 + 0.0252736i
\(339\) 4.79619 + 4.57316i 0.260493 + 0.248380i
\(340\) 9.51240 27.4843i 0.515882 1.49054i
\(341\) −16.5779 + 15.8070i −0.897741 + 0.855995i
\(342\) −0.108749 0.238128i −0.00588048 0.0128765i
\(343\) −17.8591 4.90425i −0.964302 0.264805i
\(344\) 2.02432i 0.109144i
\(345\) 20.7997 4.69656i 1.11982 0.252854i
\(346\) −0.658072 + 0.379938i −0.0353782 + 0.0204256i
\(347\) −8.95754 + 3.58606i −0.480866 + 0.192510i −0.599415 0.800438i \(-0.704600\pi\)
0.118549 + 0.992948i \(0.462176\pi\)
\(348\) 0.248002 2.59719i 0.0132943 0.139224i
\(349\) 2.60267 8.86387i 0.139318 0.474472i −0.860043 0.510221i \(-0.829564\pi\)
0.999361 + 0.0357491i \(0.0113817\pi\)
\(350\) 2.19753 1.74912i 0.117463 0.0934942i
\(351\) 4.99557 1.46683i 0.266644 0.0782937i
\(352\) 1.87548 + 3.63793i 0.0999636 + 0.193902i
\(353\) 1.30484 + 13.6649i 0.0694498 + 0.727312i 0.961396 + 0.275169i \(0.0887340\pi\)
−0.891946 + 0.452142i \(0.850660\pi\)
\(354\) 0.347920 + 0.0670560i 0.0184917 + 0.00356399i
\(355\) 2.66538 + 55.9532i 0.141464 + 2.96969i
\(356\) 0.956181 + 6.65039i 0.0506775 + 0.352470i
\(357\) −7.91267 3.55765i −0.418783 0.188291i
\(358\) −0.746336 + 0.479641i −0.0394451 + 0.0253498i
\(359\) −3.04142 + 1.05265i −0.160520 + 0.0555565i −0.406146 0.913808i \(-0.633128\pi\)
0.245626 + 0.969365i \(0.421006\pi\)
\(360\) 1.27093 0.121359i 0.0669836 0.00639616i
\(361\) −0.272913 + 5.72915i −0.0143639 + 0.301534i
\(362\) −0.321456 + 1.32506i −0.0168954 + 0.0696436i
\(363\) 8.82138 7.64377i 0.463003 0.401194i
\(364\) −5.35860 26.9513i −0.280867 1.41263i
\(365\) 16.1171 7.36045i 0.843609 0.385263i
\(366\) −0.0487254 + 0.0619594i −0.00254692 + 0.00323867i
\(367\) 0.307102 + 0.531917i 0.0160306 + 0.0277658i 0.873929 0.486053i \(-0.161564\pi\)
−0.857899 + 0.513819i \(0.828230\pi\)
\(368\) 8.18205 17.1865i 0.426519 0.895910i
\(369\) −1.30466 0.753247i −0.0679180 0.0392125i
\(370\) −1.08069 0.155379i −0.0561822 0.00807779i
\(371\) −6.00551 + 7.72952i −0.311791 + 0.401297i
\(372\) 9.20766 + 2.70361i 0.477395 + 0.140176i
\(373\) −0.0376280 0.195233i −0.00194831 0.0101088i 0.980942 0.194303i \(-0.0622445\pi\)
−0.982890 + 0.184194i \(0.941032\pi\)
\(374\) 0.774466 0.812236i 0.0400467 0.0419997i
\(375\) −43.3856 2.06671i −2.24042 0.106724i
\(376\) 0.915292 0.651776i 0.0472026 0.0336128i
\(377\) −5.14623 4.45923i −0.265044 0.229662i
\(378\) −0.00111556 0.190170i −5.73781e−5 0.00978130i
\(379\) −32.0812 + 4.61258i −1.64790 + 0.236933i −0.902813 0.430033i \(-0.858502\pi\)
−0.745089 + 0.666965i \(0.767593\pi\)
\(380\) 29.9889 + 12.0058i 1.53840 + 0.615883i
\(381\) −7.40444 + 14.3626i −0.379341 + 0.735819i
\(382\) −0.139166 + 0.722061i −0.00712034 + 0.0369439i
\(383\) −0.834162 1.17142i −0.0426237 0.0598566i 0.792714 0.609594i \(-0.208667\pi\)
−0.835338 + 0.549737i \(0.814728\pi\)
\(384\) 1.23552 1.92251i 0.0630499 0.0981076i
\(385\) −54.3557 + 13.5246i −2.77022 + 0.689280i
\(386\) 0.531716 + 0.613633i 0.0270637 + 0.0312331i
\(387\) 4.86496 + 5.10222i 0.247300 + 0.259360i
\(388\) −10.3672 + 14.5587i −0.526316 + 0.739107i
\(389\) −4.80251 11.9961i −0.243497 0.608225i 0.755396 0.655268i \(-0.227444\pi\)
−0.998893 + 0.0470430i \(0.985020\pi\)
\(390\) 0.831966 1.44101i 0.0421282 0.0729682i
\(391\) −15.6290 1.74394i −0.790392 0.0881950i
\(392\) −2.00301 0.167576i −0.101167 0.00846386i
\(393\) 0.936443 6.51310i 0.0472373 0.328543i
\(394\) 0.527503 + 0.0503704i 0.0265752 + 0.00253763i
\(395\) 18.6417 4.52244i 0.937968 0.227549i
\(396\) −8.97609 3.10666i −0.451066 0.156115i
\(397\) 7.33389 + 1.77918i 0.368077 + 0.0892946i 0.415531 0.909579i \(-0.363596\pi\)
−0.0474541 + 0.998873i \(0.515111\pi\)
\(398\) 0.0999422 + 0.0642289i 0.00500965 + 0.00321951i
\(399\) 4.36511 8.59048i 0.218529 0.430062i
\(400\) −38.3868 + 44.3007i −1.91934 + 2.21503i
\(401\) −25.5196 + 1.21565i −1.27439 + 0.0607066i −0.673838 0.738879i \(-0.735355\pi\)
−0.600551 + 0.799586i \(0.705052\pi\)
\(402\) 0.280583 0.220653i 0.0139942 0.0110052i
\(403\) 19.6878 15.4826i 0.980717 0.771244i
\(404\) −25.2184 + 1.20130i −1.25466 + 0.0597670i
\(405\) −2.91166 + 3.36023i −0.144681 + 0.166971i
\(406\) −0.208448 + 0.135696i −0.0103451 + 0.00673446i
\(407\) 13.6844 + 8.79444i 0.678311 + 0.435924i
\(408\) −0.915031 0.221984i −0.0453008 0.0109898i
\(409\) 23.5381 + 8.14661i 1.16388 + 0.402824i 0.839637 0.543148i \(-0.182768\pi\)
0.324247 + 0.945972i \(0.394889\pi\)
\(410\) −0.467888 + 0.113508i −0.0231073 + 0.00560578i
\(411\) 7.29810 + 0.696884i 0.359988 + 0.0343747i
\(412\) 5.44090 37.8423i 0.268054 1.86436i
\(413\) 6.04413 + 11.5570i 0.297412 + 0.568683i
\(414\) −0.107545 0.327513i −0.00528554 0.0160964i
\(415\) −26.4226 + 45.7654i −1.29704 + 2.24653i
\(416\) −1.66332 4.15478i −0.0815511 0.203705i
\(417\) −7.77707 + 10.9214i −0.380845 + 0.534822i
\(418\) 0.860183 + 0.902134i 0.0420729 + 0.0441248i
\(419\) −15.7275 18.1505i −0.768338 0.886710i 0.227871 0.973691i \(-0.426823\pi\)
−0.996210 + 0.0869813i \(0.972278\pi\)
\(420\) 16.2930 + 16.8882i 0.795019 + 0.824058i
\(421\) −0.877801 + 1.36588i −0.0427814 + 0.0665691i −0.861986 0.506933i \(-0.830779\pi\)
0.819204 + 0.573502i \(0.194416\pi\)
\(422\) 0.839513 + 1.17893i 0.0408668 + 0.0573895i
\(423\) −0.740572 + 3.84245i −0.0360078 + 0.186826i
\(424\) −0.486788 + 0.944237i −0.0236405 + 0.0458562i
\(425\) 44.9596 + 17.9991i 2.18086 + 0.873086i
\(426\) 0.896362 0.128877i 0.0434289 0.00624413i
\(427\) −2.90132 + 0.0170194i −0.140405 + 0.000823629i
\(428\) 2.50586 + 2.17134i 0.121125 + 0.104956i
\(429\) −20.1940 + 14.3801i −0.974977 + 0.694278i
\(430\) 2.25051 + 0.107205i 0.108529 + 0.00516988i
\(431\) 0.901095 0.945042i 0.0434042 0.0455210i −0.701674 0.712498i \(-0.747564\pi\)
0.745078 + 0.666977i \(0.232412\pi\)
\(432\) 0.751143 + 3.89730i 0.0361394 + 0.187509i
\(433\) 2.70841 + 0.795260i 0.130158 + 0.0382177i 0.346163 0.938175i \(-0.387485\pi\)
−0.216005 + 0.976392i \(0.569303\pi\)
\(434\) −0.344992 0.847310i −0.0165602 0.0406722i
\(435\) 5.75594 + 0.827579i 0.275976 + 0.0396794i
\(436\) 16.9867 + 9.80726i 0.813514 + 0.469683i
\(437\) 2.76073 17.2470i 0.132064 0.825035i
\(438\) −0.143219 0.248063i −0.00684328 0.0118529i
\(439\) −5.34963 + 6.80261i −0.255324 + 0.324671i −0.896770 0.442498i \(-0.854093\pi\)
0.641446 + 0.767168i \(0.278335\pi\)
\(440\) −5.52974 + 2.52535i −0.263620 + 0.120391i
\(441\) 5.45123 4.39137i 0.259582 0.209113i
\(442\) −0.927419 + 0.803613i −0.0441128 + 0.0382240i
\(443\) 6.97947 28.7698i 0.331605 1.36689i −0.525080 0.851053i \(-0.675965\pi\)
0.856685 0.515840i \(-0.172520\pi\)
\(444\) 0.324265 6.80715i 0.0153889 0.323053i
\(445\) −14.9075 + 1.42349i −0.706682 + 0.0674799i
\(446\) −0.713908 + 0.247086i −0.0338045 + 0.0116999i
\(447\) −12.1602 + 7.81490i −0.575159 + 0.369632i
\(448\) 20.7323 2.10249i 0.979510 0.0993334i
\(449\) 0.829141 + 5.76680i 0.0391296 + 0.272152i 0.999988 0.00488755i \(-0.00155576\pi\)
−0.960858 + 0.277040i \(0.910647\pi\)
\(450\) 0.0505116 + 1.06037i 0.00238114 + 0.0499863i
\(451\) 7.04362 + 1.35755i 0.331671 + 0.0639243i
\(452\) 1.25662 + 13.1599i 0.0591064 + 0.618990i
\(453\) −6.80575 13.2013i −0.319762 0.620252i
\(454\) −0.415543 + 0.122015i −0.0195024 + 0.00572642i
\(455\) 60.5713 9.07180i 2.83962 0.425293i
\(456\) 0.294632 1.00342i 0.0137974 0.0469896i
\(457\) −3.45106 + 36.1412i −0.161434 + 1.69061i 0.445041 + 0.895510i \(0.353189\pi\)
−0.606475 + 0.795103i \(0.707417\pi\)
\(458\) −0.292978 + 0.117291i −0.0136899 + 0.00548063i
\(459\) 2.83978 1.63955i 0.132550 0.0765275i
\(460\) 37.4928 + 20.0909i 1.74811 + 0.936745i
\(461\) 37.7010i 1.75591i 0.478742 + 0.877955i \(0.341093\pi\)
−0.478742 + 0.877955i \(0.658907\pi\)
\(462\) 0.301181 + 0.853966i 0.0140122 + 0.0397301i
\(463\) −10.7800 23.6050i −0.500990 1.09702i −0.976146 0.217114i \(-0.930336\pi\)
0.475156 0.879902i \(-0.342392\pi\)
\(464\) 3.75691 3.58221i 0.174410 0.166300i
\(465\) −6.99569 + 20.2127i −0.324417 + 0.937342i
\(466\) −0.114634 0.109303i −0.00531032 0.00506338i
\(467\) −19.4375 + 10.0207i −0.899459 + 0.463704i −0.844972 0.534811i \(-0.820383\pi\)
−0.0544877 + 0.998514i \(0.517353\pi\)
\(468\) 9.44747 + 4.31452i 0.436710 + 0.199439i
\(469\) 12.7864 + 3.02265i 0.590423 + 0.139573i
\(470\) 0.676129 + 1.05208i 0.0311875 + 0.0485287i
\(471\) −1.76223 + 4.40184i −0.0811992 + 0.202826i
\(472\) 0.874979 + 1.11263i 0.0402742 + 0.0512128i
\(473\) −29.8366 15.3819i −1.37189 0.707259i
\(474\) −0.101427 0.293053i −0.00465868 0.0134604i
\(475\) −22.3447 + 48.9280i −1.02524 + 2.24497i
\(476\) −7.28161 15.7001i −0.333752 0.719614i
\(477\) −1.04231 3.54978i −0.0477241 0.162533i
\(478\) −1.38497 + 0.266931i −0.0633471 + 0.0122092i
\(479\) −4.52006 18.6319i −0.206527 0.851315i −0.976896 0.213717i \(-0.931443\pi\)
0.770369 0.637598i \(-0.220072\pi\)
\(480\) 3.11320 + 2.21690i 0.142098 + 0.101187i
\(481\) −13.9812 10.9950i −0.637490 0.501328i
\(482\) −0.0462893 −0.00210842
\(483\) 6.96698 10.6048i 0.317009 0.482534i
\(484\) 23.2844 1.05838
\(485\) −31.3132 24.6250i −1.42186 1.11816i
\(486\) 0.0585507 + 0.0416938i 0.00265592 + 0.00189127i
\(487\) −2.34595 9.67012i −0.106305 0.438195i 0.893639 0.448787i \(-0.148144\pi\)
−0.999944 + 0.0105916i \(0.996629\pi\)
\(488\) −0.309196 + 0.0595927i −0.0139966 + 0.00269763i
\(489\) −3.26136 11.1072i −0.147484 0.502283i
\(490\) 0.292376 2.21794i 0.0132082 0.100196i
\(491\) −5.93294 + 12.9913i −0.267750 + 0.586290i −0.994977 0.100107i \(-0.968082\pi\)
0.727227 + 0.686397i \(0.240809\pi\)
\(492\) −0.982906 2.83992i −0.0443128 0.128033i
\(493\) −3.81192 1.96518i −0.171680 0.0885073i
\(494\) −0.842534 1.07137i −0.0379074 0.0482032i
\(495\) 7.86844 19.6544i 0.353660 0.883400i
\(496\) 10.3227 + 16.0625i 0.463504 + 0.721226i
\(497\) 24.2588 + 22.8605i 1.08815 + 1.02543i
\(498\) 0.777108 + 0.354893i 0.0348231 + 0.0159032i
\(499\) 2.29811 1.18476i 0.102878 0.0530372i −0.406020 0.913864i \(-0.633084\pi\)
0.508897 + 0.860827i \(0.330053\pi\)
\(500\) −62.7080 59.7920i −2.80439 2.67398i
\(501\) −4.46860 + 12.9112i −0.199642 + 0.576829i
\(502\) −0.735490 + 0.701289i −0.0328265 + 0.0313000i
\(503\) −11.2330 24.5969i −0.500856 1.09672i −0.976190 0.216916i \(-0.930400\pi\)
0.475334 0.879805i \(-0.342327\pi\)
\(504\) 0.494129 0.577060i 0.0220102 0.0257043i
\(505\) 56.2724i 2.50409i
\(506\) 0.993969 + 1.30622i 0.0441873 + 0.0580684i
\(507\) 12.2173 7.05366i 0.542589 0.313264i
\(508\) −29.9253 + 11.9803i −1.32772 + 0.531540i
\(509\) −1.66367 + 17.4227i −0.0737407 + 0.772248i 0.880666 + 0.473738i \(0.157096\pi\)
−0.954407 + 0.298510i \(0.903510\pi\)
\(510\) 0.295246 1.00551i 0.0130737 0.0445249i
\(511\) 3.86109 9.81095i 0.170805 0.434011i
\(512\) 5.46052 1.60335i 0.241323 0.0708589i
\(513\) 1.66887 + 3.23716i 0.0736825 + 0.142924i
\(514\) −0.201936 2.11477i −0.00890703 0.0932786i
\(515\) 83.6730 + 16.1267i 3.68707 + 0.710625i
\(516\) 0.669158 + 14.0474i 0.0294580 + 0.618400i
\(517\) −2.65172 18.4431i −0.116622 0.811126i
\(518\) −0.526996 + 0.379950i −0.0231549 + 0.0166941i
\(519\) 8.89342 5.71546i 0.390378 0.250881i
\(520\) 6.28154 2.17406i 0.275464 0.0953390i
\(521\) 19.7613 1.88697i 0.865756 0.0826697i 0.347280 0.937762i \(-0.387105\pi\)
0.518477 + 0.855092i \(0.326499\pi\)
\(522\) 0.00447312 0.0939024i 0.000195783 0.00411000i
\(523\) −4.90592 + 20.2225i −0.214521 + 0.884268i 0.758150 + 0.652080i \(0.226103\pi\)
−0.972671 + 0.232188i \(0.925412\pi\)
\(524\) 9.92009 8.59581i 0.433361 0.375510i
\(525\) −29.3802 + 25.7614i −1.28226 + 1.12432i
\(526\) 0.315857 0.144247i 0.0137720 0.00628947i
\(527\) 9.75114 12.3996i 0.424766 0.540134i
\(528\) −9.44936 16.3668i −0.411231 0.712272i
\(529\) 6.13146 22.1677i 0.266585 0.963811i
\(530\) −1.02396 0.591184i −0.0444780 0.0256794i
\(531\) −4.87927 0.701533i −0.211742 0.0304439i
\(532\) 17.8029 7.24865i 0.771853 0.314269i
\(533\) −7.52579 2.20977i −0.325978 0.0957159i
\(534\) 0.0458166 + 0.237719i 0.00198268 + 0.0102871i
\(535\) −5.09991 + 5.34864i −0.220489 + 0.231242i
\(536\) 1.42435 + 0.0678500i 0.0615224 + 0.00293067i
\(537\) 10.0540 7.15941i 0.433861 0.308951i
\(538\) −0.519959 0.450547i −0.0224170 0.0194244i
\(539\) −17.6898 + 28.2492i −0.761955 + 1.21678i
\(540\) −8.77920 + 1.26226i −0.377797 + 0.0543189i
\(541\) −13.9308 5.57705i −0.598932 0.239776i 0.0523293 0.998630i \(-0.483335\pi\)
−0.651261 + 0.758854i \(0.725760\pi\)
\(542\) 0.318075 0.616979i 0.0136625 0.0265015i
\(543\) 3.58998 18.6266i 0.154061 0.799342i
\(544\) −1.63497 2.29599i −0.0700987 0.0984398i
\(545\) −23.6359 + 36.7781i −1.01245 + 1.57540i
\(546\) −0.239073 0.960836i −0.0102314 0.0411200i
\(547\) 19.4702 + 22.4698i 0.832485 + 0.960738i 0.999683 0.0251849i \(-0.00801746\pi\)
−0.167198 + 0.985923i \(0.553472\pi\)
\(548\) 10.0922 + 10.5844i 0.431118 + 0.452143i
\(549\) 0.636099 0.893277i 0.0271481 0.0381241i
\(550\) −1.87865 4.69265i −0.0801060 0.200095i
\(551\) 2.38167 4.12517i 0.101462 0.175738i
\(552\) 0.532107 1.27014i 0.0226480 0.0540606i
\(553\) 6.11478 9.63864i 0.260027 0.409877i
\(554\) 0.202984 1.41178i 0.00862395 0.0599809i
\(555\) 15.1207 + 1.44385i 0.641837 + 0.0612880i
\(556\) −25.9917 + 6.30551i −1.10229 + 0.267413i
\(557\) −2.95863 1.02399i −0.125361 0.0433879i 0.263667 0.964614i \(-0.415068\pi\)
−0.389028 + 0.921226i \(0.627189\pi\)
\(558\) 0.336035 + 0.0815211i 0.0142255 + 0.00345106i
\(559\) 30.8781 + 19.8441i 1.30600 + 0.839318i
\(560\) 2.49514 + 46.6233i 0.105439 + 1.97020i
\(561\) −10.2247 + 11.8000i −0.431688 + 0.498195i
\(562\) −0.0280515 + 0.00133626i −0.00118328 + 5.63666e-5i
\(563\) 16.3936 12.8921i 0.690909 0.543337i −0.209808 0.977743i \(-0.567284\pi\)
0.900717 + 0.434406i \(0.143042\pi\)
\(564\) −6.13602 + 4.82542i −0.258373 + 0.203187i
\(565\) −29.4318 + 1.40201i −1.23820 + 0.0589829i
\(566\) 0.397106 0.458285i 0.0166916 0.0192632i
\(567\) 0.141390 + 2.64197i 0.00593783 + 0.110952i
\(568\) 3.04335 + 1.95584i 0.127696 + 0.0820654i
\(569\) 6.96506 + 1.68970i 0.291990 + 0.0708361i 0.379079 0.925365i \(-0.376241\pi\)
−0.0870881 + 0.996201i \(0.527756\pi\)
\(570\) 1.09994 + 0.380692i 0.0460713 + 0.0159454i
\(571\) −25.4175 + 6.16621i −1.06369 + 0.258048i −0.729164 0.684339i \(-0.760091\pi\)
−0.334524 + 0.942387i \(0.608576\pi\)
\(572\) −49.2297 4.70087i −2.05840 0.196553i
\(573\) 1.45594 10.1263i 0.0608227 0.423031i
\(574\) −0.153474 + 0.241919i −0.00640590 + 0.0100975i
\(575\) −36.3869 + 60.7682i −1.51744 + 2.53421i
\(576\) −3.93813 + 6.82105i −0.164089 + 0.284210i
\(577\) 11.7888 + 29.4470i 0.490774 + 1.22589i 0.942641 + 0.333809i \(0.108334\pi\)
−0.451866 + 0.892086i \(0.649242\pi\)
\(578\) 0.260483 0.365798i 0.0108347 0.0152152i
\(579\) −7.79523 8.17540i −0.323959 0.339758i
\(580\) 7.59653 + 8.76686i 0.315429 + 0.364024i
\(581\) 7.59278 + 30.5155i 0.315002 + 1.26599i
\(582\) −0.348173 + 0.541767i −0.0144322 + 0.0224570i
\(583\) 10.2183 + 14.3496i 0.423199 + 0.594300i
\(584\) 0.216555 1.12360i 0.00896113 0.0464947i
\(585\) −10.6075 + 20.5758i −0.438568 + 0.850703i
\(586\) 0.493112 + 0.197412i 0.0203703 + 0.00815503i
\(587\) 12.9485 1.86171i 0.534442 0.0768411i 0.130190 0.991489i \(-0.458441\pi\)
0.404251 + 0.914648i \(0.367532\pi\)
\(588\) 13.9549 + 0.500745i 0.575488 + 0.0206504i
\(589\) 13.2410 + 11.4734i 0.545587 + 0.472754i
\(590\) −1.28328 + 0.913820i −0.0528318 + 0.0376214i
\(591\) −7.36381 0.350782i −0.302907 0.0144292i
\(592\) 9.35694 9.81327i 0.384568 0.403323i
\(593\) −6.80936 35.3303i −0.279627 1.45084i −0.801590 0.597874i \(-0.796012\pi\)
0.521963 0.852968i \(-0.325200\pi\)
\(594\) −0.328391 0.0964243i −0.0134740 0.00395634i
\(595\) 35.7261 14.5463i 1.46463 0.596341i
\(596\) −28.5416 4.10366i −1.16911 0.168092i
\(597\) −1.43137 0.826401i −0.0585820 0.0338224i
\(598\) −0.946159 1.52511i −0.0386913 0.0623665i
\(599\) 4.19079 + 7.25866i 0.171231 + 0.296581i 0.938850 0.344325i \(-0.111892\pi\)
−0.767620 + 0.640906i \(0.778559\pi\)
\(600\) −2.62149 + 3.33350i −0.107022 + 0.136089i
\(601\) 31.0537 14.1817i 1.26671 0.578486i 0.335178 0.942155i \(-0.391203\pi\)
0.931528 + 0.363669i \(0.118476\pi\)
\(602\) 1.00806 0.883897i 0.0410856 0.0360250i
\(603\) −3.75307 + 3.25205i −0.152837 + 0.132434i
\(604\) 6.98507 28.7928i 0.284218 1.17156i
\(605\) −2.46940 + 51.8392i −0.100396 + 2.10756i
\(606\) −0.905595 + 0.0864738i −0.0367873 + 0.00351276i
\(607\) 24.6526 8.53235i 1.00062 0.346317i 0.222839 0.974855i \(-0.428467\pi\)
0.777779 + 0.628538i \(0.216346\pi\)
\(608\) 2.63363 1.69253i 0.106808 0.0686412i
\(609\) 2.80688 2.02369i 0.113740 0.0820039i
\(610\) −0.0498766 0.346899i −0.00201944 0.0140455i
\(611\) 0.969423 + 20.3507i 0.0392187 + 0.823301i
\(612\) 6.42304 + 1.23794i 0.259636 + 0.0500407i
\(613\) 0.788833 + 8.26103i 0.0318607 + 0.333660i 0.997323 + 0.0731183i \(0.0232951\pi\)
−0.965463 + 0.260542i \(0.916099\pi\)
\(614\) −0.587983 1.14053i −0.0237291 0.0460280i
\(615\) 6.42688 1.88710i 0.259157 0.0760954i
\(616\) −1.32473 + 3.36611i −0.0533749 + 0.135624i
\(617\) 12.4458 42.3865i 0.501049 1.70641i −0.188411 0.982090i \(-0.560334\pi\)
0.689459 0.724325i \(-0.257848\pi\)
\(618\) 0.130947 1.37134i 0.00526745 0.0551633i
\(619\) 13.2330 5.29770i 0.531880 0.212933i −0.0901471 0.995928i \(-0.528734\pi\)
0.622027 + 0.782996i \(0.286309\pi\)
\(620\) −36.9513 + 21.3338i −1.48400 + 0.856788i
\(621\) 1.71131 + 4.48011i 0.0686724 + 0.179781i
\(622\) 0.801072i 0.0321201i
\(623\) −5.79594 + 6.76869i −0.232209 + 0.271182i
\(624\) 8.58439 + 18.7972i 0.343651 + 0.752490i
\(625\) 86.3242 82.3100i 3.45297 3.29240i
\(626\) −0.148306 + 0.428501i −0.00592749 + 0.0171264i
\(627\) −12.5508 11.9671i −0.501230 0.477921i
\(628\) −8.40701 + 4.33412i −0.335476 + 0.172950i
\(629\) −10.1899 4.65358i −0.406299 0.185550i
\(630\) 0.615368 + 0.579899i 0.0245169 + 0.0231037i
\(631\) −7.45497 11.6002i −0.296778 0.461795i 0.660557 0.750776i \(-0.270320\pi\)
−0.957335 + 0.288981i \(0.906684\pi\)
\(632\) 0.460428 1.15009i 0.0183148 0.0457482i
\(633\) −12.4468 15.8273i −0.494714 0.629080i
\(634\) 1.89239 + 0.975593i 0.0751563 + 0.0387458i
\(635\) −23.4986 67.8947i −0.932512 2.69432i
\(636\) 3.06584 6.71324i 0.121568 0.266197i
\(637\) 22.1913 28.9103i 0.879253 1.14547i
\(638\) 0.126111 + 0.429496i 0.00499280 + 0.0170039i
\(639\) −12.3710 + 2.38432i −0.489390 + 0.0943222i
\(640\) 2.39553 + 9.87449i 0.0946915 + 0.390324i
\(641\) −26.9785 19.2113i −1.06559 0.758802i −0.0940218 0.995570i \(-0.529972\pi\)
−0.971566 + 0.236768i \(0.923912\pi\)
\(642\) 0.0939129 + 0.0738539i 0.00370645 + 0.00291478i
\(643\) −46.9886 −1.85305 −0.926524 0.376236i \(-0.877218\pi\)
−0.926524 + 0.376236i \(0.877218\pi\)
\(644\) 24.3568 6.88646i 0.959792 0.271365i
\(645\) −31.3452 −1.23422
\(646\) −0.674761 0.530638i −0.0265481 0.0208777i
\(647\) −19.0070 13.5348i −0.747243 0.532110i 0.141821 0.989892i \(-0.454704\pi\)
−0.889064 + 0.457783i \(0.848644\pi\)
\(648\) 0.0676967 + 0.279050i 0.00265938 + 0.0109621i
\(649\) 23.0476 4.44207i 0.904699 0.174366i
\(650\) 1.55715 + 5.30316i 0.0610763 + 0.208007i
\(651\) 5.35510 + 11.5463i 0.209883 + 0.452536i
\(652\) 9.59290 21.0055i 0.375687 0.822640i
\(653\) 14.2368 + 41.1344i 0.557128 + 1.60971i 0.773772 + 0.633464i \(0.218368\pi\)
−0.216644 + 0.976251i \(0.569511\pi\)
\(654\) 0.628193 + 0.323856i 0.0245643 + 0.0126638i
\(655\) 18.0852 + 22.9972i 0.706646 + 0.898574i
\(656\) 2.22229 5.55100i 0.0867657 0.216730i
\(657\) 2.15447 + 3.35241i 0.0840537 + 0.130790i
\(658\) 0.724220 + 0.171202i 0.0282330 + 0.00667414i
\(659\) −38.9773 17.8003i −1.51834 0.693402i −0.530329 0.847792i \(-0.677932\pi\)
−0.988010 + 0.154389i \(0.950659\pi\)
\(660\) 37.5377 19.3520i 1.46115 0.753277i
\(661\) −20.5373 19.5822i −0.798807 0.761661i 0.176076 0.984377i \(-0.443659\pi\)
−0.974884 + 0.222715i \(0.928508\pi\)
\(662\) 0.0550663 0.159104i 0.00214021 0.00618374i
\(663\) 12.3560 11.7814i 0.479866 0.457551i
\(664\) 1.41774 + 3.10442i 0.0550190 + 0.120475i
\(665\) 14.2499 + 40.4041i 0.552589 + 1.56680i
\(666\) 0.245557i 0.00951513i
\(667\) 3.71923 5.05074i 0.144009 0.195566i
\(668\) −23.6032 + 13.6273i −0.913235 + 0.527256i
\(669\) 9.75729 3.90623i 0.377239 0.151024i
\(670\) −0.150862 + 1.57990i −0.00582832 + 0.0610369i
\(671\) −1.47109 + 5.01008i −0.0567909 + 0.193412i
\(672\) 2.24914 0.336855i 0.0867625 0.0129945i
\(673\) −15.7189 + 4.61548i −0.605918 + 0.177914i −0.570279 0.821451i \(-0.693165\pi\)
−0.0356393 + 0.999365i \(0.511347\pi\)
\(674\) −1.01915 1.97688i −0.0392563 0.0761466i
\(675\) −1.40387 14.7020i −0.0540351 0.565882i
\(676\) 27.6332 + 5.32586i 1.06281 + 0.204841i
\(677\) −1.61750 33.9555i −0.0621655 1.30501i −0.787370 0.616481i \(-0.788558\pi\)
0.725205 0.688533i \(-0.241745\pi\)
\(678\) 0.0677904 + 0.471493i 0.00260348 + 0.0181076i
\(679\) −23.5837 + 2.39165i −0.905059 + 0.0917833i
\(680\) 3.52186 2.26336i 0.135057 0.0867959i
\(681\) 5.69385 1.97066i 0.218189 0.0755158i
\(682\) −1.63900 + 0.156506i −0.0627606 + 0.00599291i
\(683\) −1.31958 + 27.7014i −0.0504924 + 1.05997i 0.821426 + 0.570315i \(0.193179\pi\)
−0.871919 + 0.489651i \(0.837124\pi\)
\(684\) −1.71284 + 7.06044i −0.0654922 + 0.269963i
\(685\) −24.6348 + 21.3462i −0.941249 + 0.815597i
\(686\) −0.791142 1.07062i −0.0302060 0.0408764i
\(687\) 3.99373 1.82388i 0.152370 0.0695853i
\(688\) −17.2967 + 21.9946i −0.659432 + 0.838536i
\(689\) −9.63104 16.6815i −0.366913 0.635513i
\(690\) 1.38387 + 0.658825i 0.0526832 + 0.0250810i
\(691\) −1.56079 0.901125i −0.0593754 0.0342804i 0.470018 0.882657i \(-0.344247\pi\)
−0.529394 + 0.848376i \(0.677581\pi\)
\(692\) 20.8740 + 3.00123i 0.793510 + 0.114090i
\(693\) −4.75068 11.6678i −0.180464 0.443223i
\(694\) −0.665444 0.195392i −0.0252599 0.00741698i
\(695\) −11.2817 58.5352i −0.427940 2.22037i
\(696\) 0.259159 0.271798i 0.00982340 0.0103025i
\(697\) −4.93434 0.235052i −0.186902 0.00890322i
\(698\) 0.540896 0.385171i 0.0204732 0.0145789i
\(699\) 1.66537 + 1.44305i 0.0629902 + 0.0545813i
\(700\) −77.9465 + 0.457242i −2.94610 + 0.0172821i
\(701\) −20.8731 + 3.00109i −0.788364 + 0.113350i −0.524725 0.851272i \(-0.675832\pi\)
−0.263639 + 0.964621i \(0.584923\pi\)
\(702\) 0.347428 + 0.139089i 0.0131128 + 0.00524958i
\(703\) 5.70130 11.0590i 0.215029 0.417097i
\(704\) 7.09754 36.8255i 0.267499 1.38791i
\(705\) −10.0923 14.1727i −0.380098 0.533773i
\(706\) −0.533444 + 0.830054i −0.0200764 + 0.0312395i
\(707\) −23.2492 24.0984i −0.874376 0.906314i
\(708\) −6.43952 7.43160i −0.242012 0.279297i
\(709\) 2.09082 + 2.19279i 0.0785225 + 0.0823520i 0.761823 0.647785i \(-0.224305\pi\)
−0.683301 + 0.730137i \(0.739456\pi\)
\(710\) −2.33555 + 3.27982i −0.0876515 + 0.123089i
\(711\) 1.60347 + 4.00528i 0.0601350 + 0.150210i
\(712\) −0.483563 + 0.837556i −0.0181223 + 0.0313887i
\(713\) 15.6529 + 16.9486i 0.586204 + 0.634731i
\(714\) −0.288995 0.552589i −0.0108154 0.0206801i
\(715\) 15.6868 109.104i 0.586651 4.08025i
\(716\) 24.5099 + 2.34042i 0.915979 + 0.0874654i
\(717\) 19.0696 4.62624i 0.712168 0.172770i
\(718\) −0.218614 0.0756629i −0.00815859 0.00282371i
\(719\) 35.3834 + 8.58393i 1.31958 + 0.320126i 0.832885 0.553446i \(-0.186688\pi\)
0.486694 + 0.873573i \(0.338203\pi\)
\(720\) −14.8458 9.54079i −0.553269 0.355564i
\(721\) 42.4954 27.6637i 1.58261 1.03025i
\(722\) −0.269980 + 0.311574i −0.0100476 + 0.0115956i
\(723\) 0.643262 0.0306423i 0.0239232 0.00113960i
\(724\) 29.7448 23.3916i 1.10546 0.869341i
\(725\) −15.1834 + 11.9403i −0.563897 + 0.443453i
\(726\) 0.838045 0.0399210i 0.0311028 0.00148161i
\(727\) 14.1565 16.3374i 0.525034 0.605921i −0.429850 0.902900i \(-0.641434\pi\)
0.954884 + 0.296979i \(0.0959791\pi\)
\(728\) 1.79182 3.52628i 0.0664093 0.130693i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 1.23767 + 0.300256i 0.0458082 + 0.0111130i
\(731\) 21.8457 + 7.56088i 0.807993 + 0.279649i
\(732\) 2.12590 0.515738i 0.0785756 0.0190622i
\(733\) −27.2587 2.60289i −1.00682 0.0961401i −0.421407 0.906872i \(-0.638463\pi\)
−0.585418 + 0.810732i \(0.699070\pi\)
\(734\) −0.00628296 + 0.0436990i −0.000231908 + 0.00161296i
\(735\) −2.59480 + 31.0152i −0.0957106 + 1.14401i
\(736\) 3.69374 1.83040i 0.136153 0.0674694i
\(737\) 11.8230 20.4780i 0.435505 0.754317i
\(738\) −0.0402455 0.100528i −0.00148146 0.00370050i
\(739\) −16.8816 + 23.7069i −0.621000 + 0.872072i −0.998545 0.0539190i \(-0.982829\pi\)
0.377546 + 0.925991i \(0.376768\pi\)
\(740\) 20.9097 + 21.9295i 0.768656 + 0.806143i
\(741\) 12.4175 + 14.3306i 0.456169 + 0.526447i
\(742\) −0.682757 + 0.169882i −0.0250648 + 0.00623656i
\(743\) 8.28920 12.8982i 0.304101 0.473191i −0.655247 0.755414i \(-0.727436\pi\)
0.959349 + 0.282224i \(0.0910720\pi\)
\(744\) 0.801256 + 1.12521i 0.0293755 + 0.0412521i
\(745\) 12.1631 63.1082i 0.445622 2.31211i
\(746\) 0.00654868 0.0127027i 0.000239764 0.000465078i
\(747\) −11.0341 4.41737i −0.403715 0.161623i
\(748\) −30.8295 + 4.43261i −1.12724 + 0.162072i
\(749\) 0.0257967 + 4.39758i 0.000942590 + 0.160684i
\(750\) −2.35948 2.04450i −0.0861560 0.0746546i
\(751\) −1.83066 + 1.30361i −0.0668017 + 0.0475693i −0.612970 0.790106i \(-0.710025\pi\)
0.546168 + 0.837676i \(0.316086\pi\)
\(752\) −15.5139 0.739017i −0.565733 0.0269492i
\(753\) 9.75654 10.2324i 0.355548 0.372888i
\(754\) −0.0926299 0.480609i −0.00337338 0.0175028i
\(755\) 63.3620 + 18.6048i 2.30598 + 0.677097i
\(756\) −3.23815 + 4.16772i −0.117770 + 0.151579i
\(757\) −30.8239 4.43181i −1.12031 0.161077i −0.442824 0.896609i \(-0.646023\pi\)
−0.677490 + 0.735532i \(0.736932\pi\)
\(758\) −2.01756 1.16484i −0.0732809 0.0423088i
\(759\) −14.6774 17.4939i −0.532757 0.634989i
\(760\) 2.32490 + 4.02684i 0.0843329 + 0.146069i
\(761\) −6.73261 + 8.56121i −0.244057 + 0.310344i −0.892613 0.450823i \(-0.851131\pi\)
0.648556 + 0.761167i \(0.275373\pi\)
\(762\) −1.05652 + 0.482498i −0.0382738 + 0.0174790i
\(763\) 5.07309 + 25.5153i 0.183658 + 0.923717i
\(764\) 15.4233 13.3644i 0.557996 0.483506i
\(765\) −3.43727 + 14.1686i −0.124275 + 0.512268i
\(766\) 0.00491839 0.103250i 0.000177709 0.00373056i
\(767\) −25.5488 + 2.43961i −0.922513 + 0.0880893i
\(768\) −14.7309 + 5.09843i −0.531557 + 0.183974i
\(769\) 25.8923 16.6400i 0.933700 0.600053i 0.0170984 0.999854i \(-0.494557\pi\)
0.916602 + 0.399801i \(0.130921\pi\)
\(770\) −3.67206 1.65101i −0.132332 0.0594983i
\(771\) 4.20614 + 29.2544i 0.151481 + 1.05357i
\(772\) −1.07221 22.5084i −0.0385896 0.810095i