Properties

Label 483.2.bf.a.388.18
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 388.18
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.18

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0565006 0.0444325i 0.0399519 0.0314185i −0.597983 0.801509i \(-0.704031\pi\)
0.637935 + 0.770090i \(0.279789\pi\)
\(3\) −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 0.996582 + 0.0826055i \(0.0263241\pi\)
0.955896 + 0.293704i \(0.0948880\pi\)
\(6\) −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 0.103530 + 0.994626i \(0.466986\pi\)
−0.990998 + 0.133880i \(0.957256\pi\)
\(12\) −0.741405 1.85194i −0.214025 0.534609i
\(13\) 2.81483 4.37996i 0.780693 1.21478i −0.191705 0.981453i \(-0.561402\pi\)
0.972398 0.233330i \(-0.0749621\pi\)
\(14\) 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 −0.345382 0.938462i \(-0.612250\pi\)
0.920965 + 0.389644i \(0.127402\pi\)
\(18\) −0.0235093 0.0679255i −0.00554118 0.0160102i
\(19\) −2.63586 2.51329i −0.604707 0.576587i 0.324620 0.945845i \(-0.394764\pi\)
−0.929327 + 0.369257i \(0.879612\pi\)
\(20\) −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 0.163133 0.986604i \(-0.447840\pi\)
−0.396162 + 0.918180i \(0.629658\pi\)
\(30\) −0.146444 + 0.284062i −0.0267369 + 0.0518624i
\(31\) −0.457278 + 4.78884i −0.0821296 + 0.860101i 0.856722 + 0.515779i \(0.172497\pi\)
−0.938852 + 0.344322i \(0.888109\pi\)
\(32\) −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 0.0485372 0.998821i \(-0.484544\pi\)
−0.579278 + 0.815130i \(0.696665\pi\)
\(38\) −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 0.561409 0.827538i \(-0.310259\pi\)
−0.739218 + 0.673466i \(0.764805\pi\)
\(42\) −0.180076 + 0.0611444i −0.0277863 + 0.00943478i
\(43\) 6.41277 + 2.92862i 0.977939 + 0.446610i 0.839262 0.543728i \(-0.182988\pi\)
0.138677 + 0.990338i \(0.455715\pi\)
\(44\) −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 −0.232044 0.972705i \(-0.574541\pi\)
0.726366 + 0.687308i \(0.241208\pi\)
\(48\) 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 −0.299825 0.953994i \(-0.596928\pi\)
−0.207785 + 0.978175i \(0.566625\pi\)
\(54\) 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 0.694798 0.719205i \(-0.255494\pi\)
−0.988869 + 0.148786i \(0.952463\pi\)
\(60\) −1.67856 8.70919i −0.216701 1.12435i
\(61\) −0.636099 + 0.893277i −0.0814442 + 0.114372i −0.853288 0.521440i \(-0.825395\pi\)
0.771844 + 0.635812i \(0.219335\pi\)
\(62\) 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 −0.771880 0.635768i \(-0.780683\pi\)
0.997366 + 0.0725311i \(0.0231077\pi\)
\(68\) 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 −0.763788 0.645467i \(-0.776663\pi\)
0.551000 0.834505i \(-0.314246\pi\)
\(72\) 0.285844 0.0272948i 0.0336870 0.00321672i
\(73\) 3.87269 + 0.939505i 0.453264 + 0.109961i 0.455891 0.890036i \(-0.349321\pi\)
−0.00262639 + 0.999997i \(0.500836\pi\)
\(74\) −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 0.288584 0.957454i \(-0.406815\pi\)
0.196266 + 0.980551i \(0.437118\pi\)
\(80\) −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 0.145666 0.989334i \(-0.453468\pi\)
−0.999994 + 0.00338636i \(0.998922\pi\)
\(84\) 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 −0.271229 0.962515i \(-0.587430\pi\)
−0.0841707 + 0.996451i \(0.526824\pi\)
\(90\) −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 −0.970910 0.239445i \(-0.923035\pi\)
0.375182 + 0.926951i \(0.377580\pi\)
\(98\) 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 0.881989 + 0.471269i \(0.156204\pi\)
−0.643658 + 0.765314i \(0.722584\pi\)
\(102\) 0.108003 + 0.209496i 0.0106939 + 0.0207432i
\(103\) 17.7924 7.12300i 1.75314 0.701850i 0.754156 0.656695i \(-0.228046\pi\)
0.998980 0.0451551i \(-0.0143782\pi\)
\(104\) 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 0.512736 0.858546i \(-0.328632\pi\)
−0.643628 + 0.765339i \(0.722571\pi\)
\(108\) −1.99257 + 0.0949180i −0.191736 + 0.00913349i
\(109\) −6.78531 7.11623i −0.649915 0.681611i 0.313511 0.949584i \(-0.398495\pi\)
−0.963426 + 0.267973i \(0.913646\pi\)
\(110\) −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 −0.443760 0.896146i \(-0.646356\pi\)
−0.173311 + 0.984867i \(0.555447\pi\)
\(114\) 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 0.588013 + 0.808852i \(0.299910\pi\)
−0.792074 + 0.610425i \(0.790999\pi\)
\(128\) 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 −0.719604 0.694385i \(-0.755677\pi\)
0.983040 + 0.183389i \(0.0587069\pi\)
\(132\) 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 0.203628 0.979048i \(-0.434727\pi\)
−0.746067 + 0.665871i \(0.768060\pi\)
\(138\) 0.277580 0.204402i 0.0236292 0.0173999i
\(139\) 13.4074i 1.13720i 0.822613 + 0.568602i \(0.192515\pi\)
−0.822613 + 0.568602i \(0.807485\pi\)
\(140\) −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 0.968202 + 0.250171i \(0.0804869\pi\)
−0.528083 + 0.849193i \(0.677089\pi\)
\(150\) −0.656220 + 0.834452i −0.0535801 + 0.0681327i
\(151\) 13.2013 6.80575i 1.07431 0.553844i 0.172071 0.985085i \(-0.444954\pi\)
0.902237 + 0.431240i \(0.141924\pi\)
\(152\) 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 −0.998865 0.0476284i \(-0.984834\pi\)
0.909651 + 0.415373i \(0.136349\pi\)
\(158\) 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 −0.194624 0.980878i \(-0.562349\pi\)
0.907344 + 0.420388i \(0.138106\pi\)
\(164\) 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 0.665543 + 0.746360i \(0.268200\pi\)
−0.963403 + 0.268058i \(0.913618\pi\)
\(168\) −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 −0.999463 0.0327566i \(-0.989571\pi\)
0.700741 0.713416i \(-0.252853\pi\)
\(174\) 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 −0.989329 0.145700i \(-0.953457\pi\)
0.687599 0.726090i \(-0.258665\pi\)
\(180\) 6.41914 + 6.12064i 0.478455 + 0.456206i
\(181\) 7.88016 17.2551i 0.585728 1.28256i −0.352262 0.935901i \(-0.614587\pi\)
0.937990 0.346663i \(-0.112685\pi\)
\(182\) 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 −0.656112 0.754663i \(-0.727800\pi\)
0.995313 + 0.0967058i \(0.0308306\pi\)
\(192\) −0.748687 + 7.84060i −0.0540318 + 0.565847i
\(193\) 11.0920 2.13781i 0.798420 0.153883i 0.226305 0.974056i \(-0.427335\pi\)
0.572115 + 0.820173i \(0.306123\pi\)
\(194\) −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 0.742596 0.669740i \(-0.233594\pi\)
−0.300732 + 0.953709i \(0.597231\pi\)
\(198\) 0.323431 + 0.111941i 0.0229852 + 0.00795527i
\(199\) 1.64532 + 0.157109i 0.116634 + 0.0111372i 0.153210 0.988194i \(-0.451039\pi\)
−0.0365760 + 0.999331i \(0.511645\pi\)
\(200\) 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 0.461918 0.886923i \(-0.347161\pi\)
0.868097 + 0.496395i \(0.165343\pi\)
\(212\) 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 0.597188 0.802101i \(-0.296285\pi\)
−0.977698 + 0.210017i \(0.932648\pi\)
\(224\) −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 0.682141 0.731221i \(-0.261049\pi\)
−0.914111 + 0.405465i \(0.867110\pi\)
\(228\) −2.70021 + 6.74481i −0.178826 + 0.446686i
\(229\) −2.19525 3.80228i −0.145066 0.251262i 0.784332 0.620342i \(-0.213006\pi\)
−0.929398 + 0.369080i \(0.879673\pi\)
\(230\) −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 −0.166663 0.986014i \(-0.553299\pi\)
0.0229535 + 0.999737i \(0.492693\pi\)
\(234\) −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 0.168442 0.985712i \(-0.446126\pi\)
−0.999650 + 0.0264461i \(0.991581\pi\)
\(240\) 17.6272 + 0.839687i 1.13783 + 0.0542016i
\(241\) −0.506211 0.398089i −0.0326079 0.0256432i 0.601722 0.798706i \(-0.294482\pi\)
−0.634330 + 0.773062i \(0.718724\pi\)
\(242\) −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 −0.949325 0.314297i \(-0.898231\pi\)
0.822323 0.569021i \(-0.192678\pi\)
\(252\) 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 −0.355551 + 0.934657i \(0.615707\pi\)
−0.916680 + 0.399621i \(0.869142\pi\)
\(258\) −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 0.947170 0.320731i \(-0.103929\pi\)
−0.810672 + 0.585500i \(0.800898\pi\)
\(264\) 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 −0.336980 0.941512i \(-0.609405\pi\)
−0.245957 + 0.969281i \(0.579102\pi\)
\(270\) 0.220542 + 0.231298i 0.0134218 + 0.0140763i
\(271\) −1.82762 + 9.48261i −0.111020 + 0.576028i 0.883229 + 0.468941i \(0.155364\pi\)
−0.994250 + 0.107087i \(0.965848\pi\)
\(272\) −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 0.397257 + 0.917707i \(0.369962\pi\)
−0.993386 + 0.114819i \(0.963371\pi\)
\(278\) 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 0.646009 0.763330i \(-0.276437\pi\)
−0.663624 + 0.748067i \(0.730982\pi\)
\(282\) 0.0663128 + 0.273345i 0.00394887 + 0.0162775i
\(283\) 0.401420 + 8.42684i 0.0238619 + 0.500924i 0.978887 + 0.204400i \(0.0655243\pi\)
−0.955026 + 0.296524i \(0.904173\pi\)
\(284\) 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 0.482202 0.876060i \(-0.339837\pi\)
−0.0679800 + 0.997687i \(0.521655\pi\)
\(294\) −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 −0.820864 0.571124i \(-0.806507\pi\)
−0.105924 + 0.994374i \(0.533780\pi\)
\(308\) 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 −0.941106 0.338110i \(-0.890212\pi\)
0.550454 + 0.834866i \(0.314455\pi\)
\(312\) −1.32881 + 0.685051i −0.0752293 + 0.0387834i
\(313\) 2.06328 5.96144i 0.116623 0.336961i −0.871549 0.490308i \(-0.836884\pi\)
0.988172 + 0.153348i \(0.0490054\pi\)
\(314\) 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 0.921829 0.387596i \(-0.126694\pi\)
0.711742 + 0.702441i \(0.247907\pi\)
\(318\) 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 −0.964095 0.265557i \(-0.914444\pi\)
0.921986 + 0.387222i \(0.126565\pi\)
\(332\) 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 −0.990220 0.139517i \(-0.955445\pi\)
−0.543016 + 0.839722i \(0.682718\pi\)
\(338\) −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 0.118549 0.992948i \(-0.462176\pi\)
−0.599415 + 0.800438i \(0.704600\pi\)
\(348\) 0.248002 + 2.59719i 0.0132943 + 0.139224i
\(349\) 2.60267 + 8.86387i 0.139318 + 0.474472i 0.999361 0.0357491i \(-0.0113817\pi\)
−0.860043 + 0.510221i \(0.829564\pi\)
\(350\) 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 −0.891946 0.452142i \(-0.850660\pi\)
0.961396 0.275169i \(-0.0887340\pi\)
\(354\) 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 0.245626 0.969365i \(-0.421006\pi\)
−0.406146 + 0.913808i \(0.633128\pi\)
\(360\) 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 −0.857899 0.513819i \(-0.828230\pi\)
0.873929 + 0.486053i \(0.161564\pi\)
\(368\) 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 −0.982890 0.184194i \(-0.941032\pi\)
0.980942 + 0.194303i \(0.0622445\pi\)
\(374\) 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 −0.745089 0.666965i \(-0.767593\pi\)
−0.902813 + 0.430033i \(0.858502\pi\)
\(380\) 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 −0.835338 0.549737i \(-0.814728\pi\)
0.792714 + 0.609594i \(0.208667\pi\)
\(384\) 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 −0.998893 0.0470430i \(-0.985020\pi\)
0.755396 + 0.655268i \(0.227444\pi\)
\(390\) 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 −0.0474541 0.998873i \(-0.515111\pi\)
0.415531 + 0.909579i \(0.363596\pi\)
\(398\) 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 −0.600551 0.799586i \(-0.705052\pi\)
−0.673838 + 0.738879i \(0.735355\pi\)
\(402\) 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 0.324247 0.945972i \(-0.394889\pi\)
0.839637 + 0.543148i \(0.182768\pi\)
\(410\) −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 −0.996210 0.0869813i \(-0.972278\pi\)
0.227871 + 0.973691i \(0.426823\pi\)
\(420\) 16.2930 16.8882i 0.795019 0.824058i
\(421\) −0.877801 1.36588i −0.0427814 0.0665691i 0.819204 0.573502i \(-0.194416\pi\)
−0.861986 + 0.506933i \(0.830779\pi\)
\(422\) 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 0.745078 0.666977i \(-0.232412\pi\)
−0.701674 + 0.712498i \(0.747564\pi\)
\(432\) 0.751143 3.89730i 0.0361394 0.187509i
\(433\) 2.70841 0.795260i 0.130158 0.0382177i −0.216005 0.976392i \(-0.569303\pi\)
0.346163 + 0.938175i \(0.387485\pi\)
\(434\) −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 0.641446 0.767168i \(-0.278335\pi\)
−0.896770 + 0.442498i \(0.854093\pi\)
\(440\) −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 0.856685 + 0.515840i \(0.172520\pi\)
−0.525080 + 0.851053i \(0.675965\pi\)
\(444\) 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 −0.960858 0.277040i \(-0.910647\pi\)
0.999988 + 0.00488755i \(0.00155576\pi\)
\(450\) 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 −0.606475 0.795103i \(-0.707417\pi\)
0.445041 0.895510i \(-0.353189\pi\)
\(458\) −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 \(-0.658907\pi\)
0.478742 0.877955i \(-0.341093\pi\)
\(462\) 0.301181 0.853966i 0.0140122 0.0397301i
\(463\) −10.7800 + 23.6050i −0.500990 + 1.09702i 0.475156 + 0.879902i \(0.342392\pi\)
−0.976146 + 0.217114i \(0.930336\pi\)
\(464\) 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 −0.0544877 0.998514i \(-0.517353\pi\)
−0.844972 + 0.534811i \(0.820383\pi\)
\(468\) 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 0.770369 + 0.637598i \(0.220072\pi\)
−0.976896 + 0.213717i \(0.931443\pi\)
\(480\) 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 −0.999944 0.0105916i \(-0.996629\pi\)
0.893639 + 0.448787i \(0.148144\pi\)
\(488\) −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 0.727227 0.686397i \(-0.240809\pi\)
−0.994977 + 0.100107i \(0.968082\pi\)
\(492\) −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 0.508897 0.860827i \(-0.330053\pi\)
−0.406020 + 0.913864i \(0.633084\pi\)
\(500\) −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 0.475334 + 0.879805i \(0.342327\pi\)
−0.976190 + 0.216916i \(0.930400\pi\)
\(504\) 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 −0.954407 0.298510i \(-0.903510\pi\)
0.880666 0.473738i \(-0.157096\pi\)
\(510\) 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 0.518477 0.855092i \(-0.326499\pi\)
0.347280 + 0.937762i \(0.387105\pi\)
\(522\) 0.00447312 + 0.0939024i 0.000195783 + 0.00411000i
\(523\) −4.90592 20.2225i −0.214521 0.884268i −0.972671 0.232188i \(-0.925412\pi\)
0.758150 0.652080i \(-0.226103\pi\)
\(524\) 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 −0.651261 0.758854i \(-0.725760\pi\)
0.0523293 + 0.998630i \(0.483335\pi\)
\(542\) 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 −0.167198 0.985923i \(-0.553472\pi\)
0.999683 + 0.0251849i \(0.00801746\pi\)
\(548\) 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 −0.389028 0.921226i \(-0.627189\pi\)
0.263667 + 0.964614i \(0.415068\pi\)
\(558\) 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 0.900717 0.434406i \(-0.143042\pi\)
−0.209808 + 0.977743i \(0.567284\pi\)
\(564\) −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 −0.0870881 0.996201i \(-0.527756\pi\)
0.379079 + 0.925365i \(0.376241\pi\)
\(570\) 1.09994 0.380692i 0.0460713 0.0159454i
\(571\) −25.4175 6.16621i −1.06369 0.258048i −0.334524 0.942387i \(-0.608576\pi\)
−0.729164 + 0.684339i \(0.760091\pi\)
\(572\) −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 −0.451866 0.892086i \(-0.649242\pi\)
0.942641 0.333809i \(-0.108334\pi\)
\(578\) 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 0.404251 0.914648i \(-0.367532\pi\)
0.130190 + 0.991489i \(0.458441\pi\)
\(588\) 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 0.521963 + 0.852968i \(0.325200\pi\)
−0.801590 + 0.597874i \(0.796012\pi\)
\(594\) −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 −0.767620 0.640906i \(-0.778559\pi\)
0.938850 + 0.344325i \(0.111892\pi\)
\(600\) −2.62149 3.33350i −0.107022 0.136089i
\(601\) 31.0537 + 14.1817i 1.26671 + 0.578486i 0.931528 0.363669i \(-0.118476\pi\)
0.335178 + 0.942155i \(0.391203\pi\)
\(602\) 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 0.777779 0.628538i \(-0.216346\pi\)
0.222839 + 0.974855i \(0.428467\pi\)
\(608\) 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 −0.965463 0.260542i \(-0.916099\pi\)
0.997323 0.0731183i \(-0.0232951\pi\)
\(614\) −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 0.689459 + 0.724325i \(0.257848\pi\)
−0.188411 + 0.982090i \(0.560334\pi\)
\(618\) 0.130947 + 1.37134i 0.00526745 + 0.0551633i
\(619\) 13.2330 + 5.29770i 0.531880 + 0.212933i 0.622027 0.782996i \(-0.286309\pi\)
−0.0901471 + 0.995928i \(0.528734\pi\)
\(620\) −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 −0.957335 0.288981i \(-0.906684\pi\)
0.660557 + 0.750776i \(0.270320\pi\)
\(632\) 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 −0.971566 0.236768i \(-0.923912\pi\)
−0.0940218 + 0.995570i \(0.529972\pi\)
\(642\) 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 −0.889064 0.457783i \(-0.848644\pi\)
0.141821 + 0.989892i \(0.454704\pi\)
\(648\) 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 −0.216644 0.976251i \(-0.569511\pi\)
0.773772 0.633464i \(-0.218368\pi\)
\(654\) 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 −0.988010 0.154389i \(-0.950659\pi\)
−0.530329 + 0.847792i \(0.677932\pi\)
\(660\) 37.5377 + 19.3520i 1.46115 + 0.753277i
\(661\) −20.5373 + 19.5822i −0.798807 + 0.761661i −0.974884 0.222715i \(-0.928508\pi\)
0.176076 + 0.984377i \(0.443659\pi\)
\(662\) 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 −0.0356393 0.999365i \(-0.511347\pi\)
−0.570279 + 0.821451i \(0.693165\pi\)
\(674\) −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 0.725205 + 0.688533i \(0.241745\pi\)
−0.787370 + 0.616481i \(0.788558\pi\)
\(678\) 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 −0.871919 0.489651i \(-0.837124\pi\)
0.821426 0.570315i \(-0.193179\pi\)
\(684\) −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 −0.529394 0.848376i \(-0.677581\pi\)
0.470018 + 0.882657i \(0.344247\pi\)
\(692\) 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 −0.263639 0.964621i \(-0.584923\pi\)
−0.524725 + 0.851272i \(0.675832\pi\)
\(702\) 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 −0.683301 0.730137i \(-0.739456\pi\)
0.761823 + 0.647785i \(0.224305\pi\)
\(710\) −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 0.486694 0.873573i \(-0.338203\pi\)
0.832885 + 0.553446i \(0.186688\pi\)
\(720\) −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 0.954884 0.296979i \(-0.0959791\pi\)
−0.429850 + 0.902900i \(0.641434\pi\)
\(728\) 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 −0.585418 0.810732i \(-0.699070\pi\)
−0.421407 + 0.906872i \(0.638463\pi\)
\(734\) −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 0.377546 0.925991i \(-0.376768\pi\)
−0.998545 + 0.0539190i \(0.982829\pi\)
\(740\) 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 0.959349 0.282224i \(-0.0910720\pi\)
−0.655247 + 0.755414i \(0.727436\pi\)
\(744\) 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 0.546168 0.837676i \(-0.316086\pi\)
−0.612970 + 0.790106i \(0.710025\pi\)
\(752\) −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 −0.677490 0.735532i \(-0.736932\pi\)
−0.442824 + 0.896609i \(0.646023\pi\)
\(758\) −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 0.648556 0.761167i \(-0.275373\pi\)
−0.892613 + 0.450823i \(0.851131\pi\)
\(762\) −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 0.916602 0.399801i \(-0.130921\pi\)
0.0170984 + 0.999854i \(0.494557\pi\)
\(770\) −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