Properties

Label 380.2.bb.a.59.16
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.16
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.906917 + 1.08513i) q^{2} +(1.82738 - 2.17779i) q^{3} +(-0.355003 - 1.96824i) q^{4} +(1.74742 - 1.39518i) q^{5} +(0.705894 + 3.95801i) q^{6} +(1.71831 + 2.97619i) q^{7} +(2.45775 + 1.39981i) q^{8} +(-0.882491 - 5.00485i) q^{9} +O(q^{10})\) \(q+(-0.906917 + 1.08513i) q^{2} +(1.82738 - 2.17779i) q^{3} +(-0.355003 - 1.96824i) q^{4} +(1.74742 - 1.39518i) q^{5} +(0.705894 + 3.95801i) q^{6} +(1.71831 + 2.97619i) q^{7} +(2.45775 + 1.39981i) q^{8} +(-0.882491 - 5.00485i) q^{9} +(-0.0708181 + 3.16148i) q^{10} +(4.04311 + 2.33429i) q^{11} +(-4.93513 - 2.82360i) q^{12} +(-3.55608 + 2.98391i) q^{13} +(-4.78791 - 0.834579i) q^{14} +(0.154799 - 6.35503i) q^{15} +(-3.74795 + 1.39746i) q^{16} +(-0.850042 - 0.149885i) q^{17} +(6.23125 + 3.58137i) q^{18} +(3.58397 - 2.48096i) q^{19} +(-3.36639 - 2.94405i) q^{20} +(9.62150 + 1.69653i) q^{21} +(-6.19976 + 2.27028i) q^{22} +(-4.09159 - 1.48922i) q^{23} +(7.53972 - 2.79448i) q^{24} +(1.10695 - 4.87593i) q^{25} +(-0.0128485 - 6.56496i) q^{26} +(-5.12608 - 2.95954i) q^{27} +(5.24786 - 4.43860i) q^{28} +(-6.10835 + 1.07707i) q^{29} +(6.75562 + 5.93146i) q^{30} +(-4.32882 - 7.49774i) q^{31} +(1.88265 - 5.33438i) q^{32} +(12.4719 - 4.53939i) q^{33} +(0.933562 - 0.786471i) q^{34} +(7.15492 + 2.80332i) q^{35} +(-9.53747 + 3.51369i) q^{36} -3.71390 q^{37} +(-0.558206 + 6.13909i) q^{38} +13.1971i q^{39} +(6.24770 - 0.982950i) q^{40} +(-6.52905 + 7.78102i) q^{41} +(-10.5669 + 8.90195i) q^{42} +(0.131946 - 0.0480244i) q^{43} +(3.15913 - 8.78649i) q^{44} +(-8.52475 - 7.51435i) q^{45} +(5.32672 - 3.08930i) q^{46} +(0.640662 + 3.63338i) q^{47} +(-3.80554 + 10.7159i) q^{48} +(-2.40515 + 4.16584i) q^{49} +(4.28709 + 5.62325i) q^{50} +(-1.87977 + 1.57731i) q^{51} +(7.13547 + 5.93993i) q^{52} +(-0.917952 - 0.334107i) q^{53} +(7.86041 - 2.87839i) q^{54} +(10.3218 - 1.56187i) q^{55} +(0.0570708 + 9.72004i) q^{56} +(1.14627 - 12.3388i) q^{57} +(4.37101 - 7.60514i) q^{58} +(-1.50948 + 8.56070i) q^{59} +(-12.5632 + 1.95137i) q^{60} +(-4.15281 - 1.51150i) q^{61} +(12.0619 + 2.10250i) q^{62} +(13.3790 - 11.2263i) q^{63} +(4.08108 + 6.88076i) q^{64} +(-2.05089 + 10.1755i) q^{65} +(-6.38513 + 17.6504i) q^{66} +(2.42352 - 0.427332i) q^{67} +(0.00675722 + 1.72630i) q^{68} +(-10.7201 + 6.18924i) q^{69} +(-9.53087 + 5.22163i) q^{70} +(-2.04891 + 0.745741i) q^{71} +(4.83689 - 13.5360i) q^{72} +(2.57634 - 3.07036i) q^{73} +(3.36819 - 4.03005i) q^{74} +(-8.59590 - 11.3209i) q^{75} +(-6.15545 - 6.17337i) q^{76} +16.0441i q^{77} +(-14.3206 - 11.9687i) q^{78} +(3.64005 + 3.05437i) q^{79} +(-4.59952 + 7.67101i) q^{80} +(-1.48581 + 0.540791i) q^{81} +(-2.52209 - 14.1416i) q^{82} +(-3.22919 - 5.59312i) q^{83} +(-0.0764839 - 19.5397i) q^{84} +(-1.69450 + 0.924048i) q^{85} +(-0.0675514 + 0.186732i) q^{86} +(-8.81664 + 15.2709i) q^{87} +(6.66939 + 11.3967i) q^{88} +(5.30431 + 6.32142i) q^{89} +(15.8853 - 2.43555i) q^{90} +(-14.9911 - 5.45632i) q^{91} +(-1.47861 + 8.58191i) q^{92} +(-24.2389 - 4.27397i) q^{93} +(-4.52370 - 2.59997i) q^{94} +(2.80132 - 9.33556i) q^{95} +(-8.17683 - 13.8479i) q^{96} +(3.18610 - 18.0692i) q^{97} +(-2.33920 - 6.38796i) q^{98} +(8.11477 - 22.2951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.906917 + 1.08513i −0.641287 + 0.767301i
\(3\) 1.82738 2.17779i 1.05504 1.25734i 0.0898031 0.995960i \(-0.471376\pi\)
0.965235 0.261385i \(-0.0841793\pi\)
\(4\) −0.355003 1.96824i −0.177502 0.984121i
\(5\) 1.74742 1.39518i 0.781470 0.623943i
\(6\) 0.705894 + 3.95801i 0.288180 + 1.61585i
\(7\) 1.71831 + 2.97619i 0.649458 + 1.12490i 0.983252 + 0.182249i \(0.0583377\pi\)
−0.333794 + 0.942646i \(0.608329\pi\)
\(8\) 2.45775 + 1.39981i 0.868946 + 0.494907i
\(9\) −0.882491 5.00485i −0.294164 1.66828i
\(10\) −0.0708181 + 3.16148i −0.0223947 + 0.999749i
\(11\) 4.04311 + 2.33429i 1.21904 + 0.703814i 0.964713 0.263303i \(-0.0848120\pi\)
0.254329 + 0.967118i \(0.418145\pi\)
\(12\) −4.93513 2.82360i −1.42465 0.815103i
\(13\) −3.55608 + 2.98391i −0.986280 + 0.827588i −0.985025 0.172412i \(-0.944844\pi\)
−0.00125547 + 0.999999i \(0.500400\pi\)
\(14\) −4.78791 0.834579i −1.27962 0.223051i
\(15\) 0.154799 6.35503i 0.0399689 1.64086i
\(16\) −3.74795 + 1.39746i −0.936986 + 0.349366i
\(17\) −0.850042 0.149885i −0.206166 0.0363525i 0.0696115 0.997574i \(-0.477824\pi\)
−0.275777 + 0.961222i \(0.588935\pi\)
\(18\) 6.23125 + 3.58137i 1.46872 + 0.844137i
\(19\) 3.58397 2.48096i 0.822219 0.569171i
\(20\) −3.36639 2.94405i −0.752747 0.658310i
\(21\) 9.62150 + 1.69653i 2.09958 + 0.370213i
\(22\) −6.19976 + 2.27028i −1.32179 + 0.484025i
\(23\) −4.09159 1.48922i −0.853155 0.310523i −0.121829 0.992551i \(-0.538876\pi\)
−0.731326 + 0.682028i \(0.761098\pi\)
\(24\) 7.53972 2.79448i 1.53904 0.570420i
\(25\) 1.10695 4.87593i 0.221391 0.975185i
\(26\) −0.0128485 6.56496i −0.00251980 1.28750i
\(27\) −5.12608 2.95954i −0.986514 0.569564i
\(28\) 5.24786 4.43860i 0.991752 0.838816i
\(29\) −6.10835 + 1.07707i −1.13429 + 0.200006i −0.709107 0.705101i \(-0.750902\pi\)
−0.425184 + 0.905107i \(0.639791\pi\)
\(30\) 6.75562 + 5.93146i 1.23340 + 1.08293i
\(31\) −4.32882 7.49774i −0.777479 1.34663i −0.933390 0.358863i \(-0.883165\pi\)
0.155911 0.987771i \(-0.450169\pi\)
\(32\) 1.88265 5.33438i 0.332808 0.942994i
\(33\) 12.4719 4.53939i 2.17107 0.790206i
\(34\) 0.933562 0.786471i 0.160105 0.134879i
\(35\) 7.15492 + 2.80332i 1.20940 + 0.473847i
\(36\) −9.53747 + 3.51369i −1.58958 + 0.585616i
\(37\) −3.71390 −0.610561 −0.305280 0.952263i \(-0.598750\pi\)
−0.305280 + 0.952263i \(0.598750\pi\)
\(38\) −0.558206 + 6.13909i −0.0905529 + 0.995892i
\(39\) 13.1971i 2.11323i
\(40\) 6.24770 0.982950i 0.987849 0.155418i
\(41\) −6.52905 + 7.78102i −1.01967 + 1.21519i −0.0433013 + 0.999062i \(0.513788\pi\)
−0.976365 + 0.216129i \(0.930657\pi\)
\(42\) −10.5669 + 8.90195i −1.63050 + 1.37360i
\(43\) 0.131946 0.0480244i 0.0201216 0.00732365i −0.331940 0.943301i \(-0.607703\pi\)
0.352061 + 0.935977i \(0.385481\pi\)
\(44\) 3.15913 8.78649i 0.476256 1.32461i
\(45\) −8.52475 7.51435i −1.27079 1.12017i
\(46\) 5.32672 3.08930i 0.785382 0.455492i
\(47\) 0.640662 + 3.63338i 0.0934502 + 0.529982i 0.995211 + 0.0977475i \(0.0311637\pi\)
−0.901761 + 0.432235i \(0.857725\pi\)
\(48\) −3.80554 + 10.7159i −0.549282 + 1.54671i
\(49\) −2.40515 + 4.16584i −0.343593 + 0.595120i
\(50\) 4.28709 + 5.62325i 0.606286 + 0.795247i
\(51\) −1.87977 + 1.57731i −0.263220 + 0.220868i
\(52\) 7.13547 + 5.93993i 0.989512 + 0.823721i
\(53\) −0.917952 0.334107i −0.126090 0.0458931i 0.278204 0.960522i \(-0.410261\pi\)
−0.404295 + 0.914629i \(0.632483\pi\)
\(54\) 7.86041 2.87839i 1.06967 0.391699i
\(55\) 10.3218 1.56187i 1.39178 0.210603i
\(56\) 0.0570708 + 9.72004i 0.00762641 + 1.29889i
\(57\) 1.14627 12.3388i 0.151828 1.63431i
\(58\) 4.37101 7.60514i 0.573941 0.998604i
\(59\) −1.50948 + 8.56070i −0.196518 + 1.11451i 0.713723 + 0.700429i \(0.247008\pi\)
−0.910240 + 0.414080i \(0.864103\pi\)
\(60\) −12.5632 + 1.95137i −1.62190 + 0.251921i
\(61\) −4.15281 1.51150i −0.531713 0.193528i 0.0621903 0.998064i \(-0.480191\pi\)
−0.593903 + 0.804537i \(0.702414\pi\)
\(62\) 12.0619 + 2.10250i 1.53186 + 0.267018i
\(63\) 13.3790 11.2263i 1.68560 1.41438i
\(64\) 4.08108 + 6.88076i 0.510135 + 0.860094i
\(65\) −2.05089 + 10.1755i −0.254381 + 1.26212i
\(66\) −6.38513 + 17.6504i −0.785955 + 2.17262i
\(67\) 2.42352 0.427332i 0.296080 0.0522069i −0.0236350 0.999721i \(-0.507524\pi\)
0.319715 + 0.947514i \(0.396413\pi\)
\(68\) 0.00675722 + 1.72630i 0.000819433 + 0.209344i
\(69\) −10.7201 + 6.18924i −1.29055 + 0.745097i
\(70\) −9.53087 + 5.22163i −1.13916 + 0.624104i
\(71\) −2.04891 + 0.745741i −0.243161 + 0.0885032i −0.460726 0.887543i \(-0.652411\pi\)
0.217565 + 0.976046i \(0.430189\pi\)
\(72\) 4.83689 13.5360i 0.570033 1.59523i
\(73\) 2.57634 3.07036i 0.301538 0.359359i −0.593905 0.804535i \(-0.702415\pi\)
0.895443 + 0.445176i \(0.146859\pi\)
\(74\) 3.36819 4.03005i 0.391545 0.468484i
\(75\) −8.59590 11.3209i −0.992569 1.30722i
\(76\) −6.15545 6.17337i −0.706078 0.708134i
\(77\) 16.0441i 1.82839i
\(78\) −14.3206 11.9687i −1.62148 1.35519i
\(79\) 3.64005 + 3.05437i 0.409538 + 0.343643i 0.824166 0.566348i \(-0.191644\pi\)
−0.414629 + 0.909991i \(0.636088\pi\)
\(80\) −4.59952 + 7.67101i −0.514242 + 0.857645i
\(81\) −1.48581 + 0.540791i −0.165090 + 0.0600879i
\(82\) −2.52209 14.1416i −0.278518 1.56168i
\(83\) −3.22919 5.59312i −0.354449 0.613924i 0.632574 0.774500i \(-0.281998\pi\)
−0.987024 + 0.160575i \(0.948665\pi\)
\(84\) −0.0764839 19.5397i −0.00834508 2.13196i
\(85\) −1.69450 + 0.924048i −0.183794 + 0.100227i
\(86\) −0.0675514 + 0.186732i −0.00728426 + 0.0201359i
\(87\) −8.81664 + 15.2709i −0.945243 + 1.63721i
\(88\) 6.66939 + 11.3967i 0.710960 + 1.21489i
\(89\) 5.30431 + 6.32142i 0.562255 + 0.670070i 0.970022 0.243016i \(-0.0781369\pi\)
−0.407767 + 0.913086i \(0.633692\pi\)
\(90\) 15.8853 2.43555i 1.67445 0.256729i
\(91\) −14.9911 5.45632i −1.57150 0.571978i
\(92\) −1.47861 + 8.58191i −0.154156 + 0.894726i
\(93\) −24.2389 4.27397i −2.51345 0.443190i
\(94\) −4.52370 2.59997i −0.466584 0.268166i
\(95\) 2.80132 9.33556i 0.287409 0.957808i
\(96\) −8.17683 13.8479i −0.834544 1.41335i
\(97\) 3.18610 18.0692i 0.323499 1.83465i −0.196521 0.980500i \(-0.562964\pi\)
0.520020 0.854154i \(-0.325925\pi\)
\(98\) −2.33920 6.38796i −0.236295 0.645282i
\(99\) 8.11477 22.2951i 0.815565 2.24075i
\(100\) −9.98997 0.447781i −0.998997 0.0447781i
\(101\) −0.621433 + 0.521445i −0.0618349 + 0.0518857i −0.673181 0.739477i \(-0.735073\pi\)
0.611346 + 0.791363i \(0.290628\pi\)
\(102\) −0.00679180 3.47028i −0.000672488 0.343609i
\(103\) 4.11262 + 2.37442i 0.405228 + 0.233959i 0.688737 0.725011i \(-0.258165\pi\)
−0.283509 + 0.958969i \(0.591499\pi\)
\(104\) −12.9169 + 2.35587i −1.26660 + 0.231012i
\(105\) 19.1798 10.4592i 1.87175 1.02071i
\(106\) 1.19505 0.693087i 0.116074 0.0673186i
\(107\) −1.07436 + 0.620284i −0.103863 + 0.0599652i −0.551032 0.834484i \(-0.685766\pi\)
0.447169 + 0.894450i \(0.352432\pi\)
\(108\) −4.00532 + 11.1400i −0.385412 + 1.07195i
\(109\) −2.29956 6.31798i −0.220257 0.605152i 0.779517 0.626381i \(-0.215464\pi\)
−0.999775 + 0.0212285i \(0.993242\pi\)
\(110\) −7.66614 + 12.6169i −0.730938 + 1.20297i
\(111\) −6.78669 + 8.08807i −0.644164 + 0.767685i
\(112\) −10.5992 8.75334i −1.00153 0.827113i
\(113\) 2.90665 0.273434 0.136717 0.990610i \(-0.456345\pi\)
0.136717 + 0.990610i \(0.456345\pi\)
\(114\) 12.3496 + 12.4341i 1.15664 + 1.16456i
\(115\) −9.22745 + 3.10621i −0.860464 + 0.289656i
\(116\) 4.28841 + 11.6403i 0.398169 + 1.08078i
\(117\) 18.0722 + 15.1644i 1.67078 + 1.40195i
\(118\) −7.92048 9.40183i −0.729139 0.865508i
\(119\) −1.01454 2.78744i −0.0930031 0.255524i
\(120\) 9.27627 15.4024i 0.846804 1.40604i
\(121\) 5.39780 + 9.34927i 0.490709 + 0.849933i
\(122\) 5.40642 3.13552i 0.489474 0.283877i
\(123\) 5.01434 + 28.4377i 0.452128 + 2.56414i
\(124\) −13.2206 + 11.1819i −1.18725 + 1.00416i
\(125\) −4.86848 10.0647i −0.435450 0.900213i
\(126\) 0.0483398 + 24.6993i 0.00430645 + 2.20039i
\(127\) 4.50820 + 5.37267i 0.400038 + 0.476747i 0.928032 0.372501i \(-0.121500\pi\)
−0.527993 + 0.849249i \(0.677055\pi\)
\(128\) −11.1677 1.81178i −0.987094 0.160141i
\(129\) 0.136528 0.375109i 0.0120207 0.0330265i
\(130\) −9.18175 11.4538i −0.805293 1.00457i
\(131\) −0.872822 0.153902i −0.0762588 0.0134465i 0.135389 0.990793i \(-0.456772\pi\)
−0.211647 + 0.977346i \(0.567883\pi\)
\(132\) −13.3622 22.9361i −1.16303 1.99633i
\(133\) 13.5422 + 6.40354i 1.17425 + 0.555257i
\(134\) −1.73422 + 3.01738i −0.149814 + 0.260662i
\(135\) −13.0865 + 1.98023i −1.12631 + 0.170431i
\(136\) −1.87938 1.55828i −0.161156 0.133621i
\(137\) −3.47747 + 9.55428i −0.297101 + 0.816277i 0.697881 + 0.716214i \(0.254127\pi\)
−0.994981 + 0.100063i \(0.968096\pi\)
\(138\) 3.00611 17.2458i 0.255897 1.46806i
\(139\) −0.774938 0.923535i −0.0657294 0.0783332i 0.732178 0.681114i \(-0.238504\pi\)
−0.797907 + 0.602780i \(0.794060\pi\)
\(140\) 2.97758 15.0778i 0.251651 1.27431i
\(141\) 9.08344 + 5.24433i 0.764964 + 0.441652i
\(142\) 1.04896 2.89965i 0.0880271 0.243333i
\(143\) −21.3429 + 3.76333i −1.78479 + 0.314706i
\(144\) 10.3016 + 17.5247i 0.858469 + 1.46039i
\(145\) −9.17114 + 10.4043i −0.761622 + 0.864032i
\(146\) 0.995208 + 5.58022i 0.0823640 + 0.461822i
\(147\) 4.67719 + 12.8505i 0.385768 + 1.05989i
\(148\) 1.31844 + 7.30984i 0.108376 + 0.600865i
\(149\) 11.9994 + 10.0687i 0.983030 + 0.824860i 0.984544 0.175138i \(-0.0560373\pi\)
−0.00151347 + 0.999999i \(0.500482\pi\)
\(150\) 20.0804 + 0.939445i 1.63955 + 0.0767053i
\(151\) 21.0575 1.71364 0.856818 0.515619i \(-0.172438\pi\)
0.856818 + 0.515619i \(0.172438\pi\)
\(152\) 12.2814 1.08071i 0.996151 0.0876574i
\(153\) 4.38661i 0.354636i
\(154\) −17.4099 14.5506i −1.40293 1.17252i
\(155\) −18.0250 7.06222i −1.44780 0.567251i
\(156\) 25.9751 4.68502i 2.07967 0.375102i
\(157\) 4.76506 + 13.0919i 0.380293 + 1.04485i 0.971233 + 0.238132i \(0.0765349\pi\)
−0.590940 + 0.806716i \(0.701243\pi\)
\(158\) −6.61560 + 1.17986i −0.526309 + 0.0938649i
\(159\) −2.40506 + 1.38856i −0.190734 + 0.110120i
\(160\) −4.15264 11.9480i −0.328295 0.944575i
\(161\) −2.59840 14.7363i −0.204783 1.16138i
\(162\) 0.760680 2.10275i 0.0597647 0.165207i
\(163\) 7.40579 12.8272i 0.580066 1.00470i −0.415405 0.909637i \(-0.636360\pi\)
0.995471 0.0950672i \(-0.0303066\pi\)
\(164\) 17.6328 + 10.0885i 1.37689 + 0.787776i
\(165\) 15.4603 25.3327i 1.20358 1.97215i
\(166\) 8.99785 + 1.56841i 0.698369 + 0.121732i
\(167\) 4.90918 13.4879i 0.379884 1.04372i −0.591520 0.806290i \(-0.701472\pi\)
0.971404 0.237432i \(-0.0763057\pi\)
\(168\) 21.2724 + 17.6379i 1.64120 + 1.36079i
\(169\) 1.48460 8.41957i 0.114200 0.647659i
\(170\) 0.534059 2.67678i 0.0409604 0.205300i
\(171\) −15.5797 15.7478i −1.19141 1.20427i
\(172\) −0.141365 0.242653i −0.0107790 0.0185021i
\(173\) −1.52104 + 8.62625i −0.115643 + 0.655842i 0.870787 + 0.491660i \(0.163610\pi\)
−0.986430 + 0.164182i \(0.947502\pi\)
\(174\) −8.57488 23.4166i −0.650060 1.77521i
\(175\) 16.4138 5.08383i 1.24077 0.384301i
\(176\) −18.4154 3.09869i −1.38811 0.233573i
\(177\) 15.8850 + 18.9310i 1.19399 + 1.42294i
\(178\) −11.6701 + 0.0228400i −0.874712 + 0.00171193i
\(179\) −1.23910 + 2.14619i −0.0926148 + 0.160414i −0.908611 0.417644i \(-0.862856\pi\)
0.815996 + 0.578058i \(0.196189\pi\)
\(180\) −11.7637 + 19.4464i −0.876817 + 1.44945i
\(181\) −22.8937 + 4.03678i −1.70168 + 0.300052i −0.938280 0.345877i \(-0.887582\pi\)
−0.763398 + 0.645928i \(0.776470\pi\)
\(182\) 19.5165 11.3189i 1.44666 0.839009i
\(183\) −10.8805 + 6.28184i −0.804308 + 0.464367i
\(184\) −7.97149 9.38756i −0.587666 0.692060i
\(185\) −6.48973 + 5.18155i −0.477135 + 0.380955i
\(186\) 26.6204 22.4261i 1.95191 1.64436i
\(187\) −3.08693 2.59025i −0.225739 0.189418i
\(188\) 6.92392 2.55084i 0.504979 0.186039i
\(189\) 20.3416i 1.47963i
\(190\) 7.58971 + 11.5064i 0.550615 + 0.834759i
\(191\) 9.80543i 0.709496i 0.934962 + 0.354748i \(0.115433\pi\)
−0.934962 + 0.354748i \(0.884567\pi\)
\(192\) 22.4425 + 3.68603i 1.61965 + 0.266017i
\(193\) −13.8351 11.6090i −0.995870 0.835634i −0.00946292 0.999955i \(-0.503012\pi\)
−0.986407 + 0.164321i \(0.947457\pi\)
\(194\) 16.7179 + 19.8446i 1.20028 + 1.42476i
\(195\) 18.4123 + 23.0609i 1.31854 + 1.65143i
\(196\) 9.05321 + 3.25502i 0.646658 + 0.232502i
\(197\) 7.66980 4.42816i 0.546451 0.315494i −0.201238 0.979542i \(-0.564497\pi\)
0.747689 + 0.664049i \(0.231163\pi\)
\(198\) 16.8336 + 29.0254i 1.19632 + 2.06275i
\(199\) −4.42663 + 0.780533i −0.313795 + 0.0553306i −0.328328 0.944564i \(-0.606485\pi\)
0.0145327 + 0.999894i \(0.495374\pi\)
\(200\) 9.54597 10.4343i 0.675002 0.737816i
\(201\) 3.49805 6.05880i 0.246733 0.427355i
\(202\) −0.00224530 1.14724i −0.000157979 0.0807196i
\(203\) −13.7016 16.3289i −0.961661 1.14606i
\(204\) 3.77185 + 3.13988i 0.264083 + 0.219836i
\(205\) −0.553081 + 22.7059i −0.0386289 + 1.58585i
\(206\) −6.30635 + 2.30931i −0.439384 + 0.160897i
\(207\) −3.84252 + 21.7920i −0.267074 + 1.51465i
\(208\) 9.15811 16.1530i 0.635000 1.12001i
\(209\) 20.2816 1.66476i 1.40291 0.115154i
\(210\) −6.04493 + 30.2981i −0.417140 + 2.09077i
\(211\) −2.29936 + 13.0403i −0.158295 + 0.897734i 0.797417 + 0.603429i \(0.206199\pi\)
−0.955712 + 0.294305i \(0.904912\pi\)
\(212\) −0.331727 + 1.92536i −0.0227831 + 0.132234i
\(213\) −2.12007 + 5.82483i −0.145264 + 0.399111i
\(214\) 0.301271 1.72837i 0.0205945 0.118149i
\(215\) 0.163562 0.268007i 0.0111549 0.0182779i
\(216\) −8.45584 14.4493i −0.575347 0.983153i
\(217\) 14.8765 25.7668i 1.00988 1.74917i
\(218\) 8.94131 + 3.23457i 0.605582 + 0.219073i
\(219\) −1.97864 11.2214i −0.133704 0.758274i
\(220\) −6.73840 19.7612i −0.454303 1.33230i
\(221\) 3.47007 2.00344i 0.233422 0.134766i
\(222\) −2.62162 14.6996i −0.175951 0.986575i
\(223\) 1.95899 + 5.38228i 0.131184 + 0.360424i 0.987842 0.155460i \(-0.0496858\pi\)
−0.856659 + 0.515884i \(0.827464\pi\)
\(224\) 19.1111 3.56297i 1.27692 0.238061i
\(225\) −25.3802 1.23718i −1.69201 0.0824786i
\(226\) −2.63609 + 3.15408i −0.175350 + 0.209806i
\(227\) 12.6209i 0.837678i 0.908061 + 0.418839i \(0.137563\pi\)
−0.908061 + 0.418839i \(0.862437\pi\)
\(228\) −24.6926 + 2.12416i −1.63531 + 0.140676i
\(229\) 8.13430 0.537530 0.268765 0.963206i \(-0.413385\pi\)
0.268765 + 0.963206i \(0.413385\pi\)
\(230\) 4.99789 12.8300i 0.329551 0.845987i
\(231\) 34.9406 + 29.3186i 2.29892 + 1.92902i
\(232\) −16.5205 5.90335i −1.08462 0.387574i
\(233\) 1.12043 + 3.07837i 0.0734021 + 0.201670i 0.970968 0.239210i \(-0.0768885\pi\)
−0.897566 + 0.440881i \(0.854666\pi\)
\(234\) −32.8453 + 5.85782i −2.14717 + 0.382938i
\(235\) 6.18871 + 5.45520i 0.403707 + 0.355858i
\(236\) 17.3854 0.0680513i 1.13169 0.00442977i
\(237\) 13.3035 2.34577i 0.864156 0.152374i
\(238\) 3.94483 + 1.42706i 0.255706 + 0.0925029i
\(239\) 6.39890 + 3.69441i 0.413910 + 0.238971i 0.692468 0.721448i \(-0.256523\pi\)
−0.278558 + 0.960419i \(0.589857\pi\)
\(240\) 8.30074 + 24.0346i 0.535811 + 1.55143i
\(241\) −8.67239 10.3353i −0.558637 0.665758i 0.410620 0.911807i \(-0.365312\pi\)
−0.969258 + 0.246048i \(0.920868\pi\)
\(242\) −15.0405 2.62171i −0.966840 0.168530i
\(243\) 4.53593 12.4624i 0.290980 0.799461i
\(244\) −1.50073 + 8.71031i −0.0960746 + 0.557621i
\(245\) 1.60929 + 10.6351i 0.102813 + 0.679450i
\(246\) −35.4062 20.3495i −2.25741 1.29743i
\(247\) −5.34194 + 19.5167i −0.339900 + 1.24182i
\(248\) −0.143775 24.4871i −0.00912972 1.55493i
\(249\) −18.0816 3.18827i −1.14587 0.202048i
\(250\) 15.3368 + 3.84492i 0.969983 + 0.243174i
\(251\) 7.74655 21.2835i 0.488958 1.34340i −0.412667 0.910882i \(-0.635403\pi\)
0.901625 0.432519i \(-0.142375\pi\)
\(252\) −26.8457 22.3478i −1.69112 1.40778i
\(253\) −13.0665 15.5720i −0.821481 0.979003i
\(254\) −9.91860 + 0.0194120i −0.622348 + 0.00121802i
\(255\) −1.08411 + 5.37884i −0.0678897 + 0.336836i
\(256\) 12.0942 10.4752i 0.755887 0.654702i
\(257\) 0.620867 + 3.52111i 0.0387286 + 0.219641i 0.998030 0.0627446i \(-0.0199853\pi\)
−0.959301 + 0.282386i \(0.908874\pi\)
\(258\) 0.283221 + 0.488343i 0.0176326 + 0.0304029i
\(259\) −6.38161 11.0533i −0.396534 0.686817i
\(260\) 20.7559 + 0.424298i 1.28723 + 0.0263138i
\(261\) 10.7811 + 29.6209i 0.667334 + 1.83349i
\(262\) 0.958580 0.807547i 0.0592213 0.0498904i
\(263\) −5.61188 4.70893i −0.346043 0.290365i 0.453156 0.891431i \(-0.350298\pi\)
−0.799199 + 0.601067i \(0.794743\pi\)
\(264\) 37.0070 + 6.30152i 2.27762 + 0.387832i
\(265\) −2.07019 + 0.696881i −0.127171 + 0.0428091i
\(266\) −19.2303 + 8.88750i −1.17908 + 0.544928i
\(267\) 23.4597 1.43571
\(268\) −1.70145 4.61837i −0.103933 0.282112i
\(269\) 12.7358 15.1779i 0.776515 0.925415i −0.222255 0.974989i \(-0.571342\pi\)
0.998770 + 0.0495737i \(0.0157863\pi\)
\(270\) 9.71957 15.9964i 0.591514 0.973512i
\(271\) 5.37147 + 14.7580i 0.326293 + 0.896484i 0.989041 + 0.147641i \(0.0471680\pi\)
−0.662748 + 0.748843i \(0.730610\pi\)
\(272\) 3.39537 0.626141i 0.205875 0.0379654i
\(273\) −39.2772 + 22.6767i −2.37716 + 1.37246i
\(274\) −7.21383 12.4384i −0.435803 0.751434i
\(275\) 15.8573 17.1299i 0.956234 1.03297i
\(276\) 15.9876 + 18.9025i 0.962339 + 1.13780i
\(277\) −13.2484 7.64898i −0.796021 0.459583i 0.0460571 0.998939i \(-0.485334\pi\)
−0.842078 + 0.539356i \(0.818668\pi\)
\(278\) 1.70496 0.00333683i 0.102257 0.000200130i
\(279\) −33.7050 + 28.2818i −2.01786 + 1.69319i
\(280\) 13.6609 + 16.9054i 0.816396 + 1.01029i
\(281\) −6.33825 + 17.4142i −0.378108 + 1.03884i 0.594032 + 0.804442i \(0.297535\pi\)
−0.972140 + 0.234402i \(0.924687\pi\)
\(282\) −13.9287 + 5.10052i −0.829442 + 0.303732i
\(283\) 1.99634 11.3218i 0.118670 0.673013i −0.866197 0.499703i \(-0.833443\pi\)
0.984867 0.173310i \(-0.0554463\pi\)
\(284\) 2.19517 + 3.76800i 0.130259 + 0.223590i
\(285\) −15.2118 23.1603i −0.901067 1.37190i
\(286\) 15.2726 26.5728i 0.903086 1.57128i
\(287\) −34.3767 6.06154i −2.02919 0.357801i
\(288\) −28.3592 4.71484i −1.67108 0.277825i
\(289\) −15.2747 5.55952i −0.898510 0.327031i
\(290\) −2.97255 19.3877i −0.174554 1.13849i
\(291\) −33.5287 39.9580i −1.96549 2.34238i
\(292\) −6.95782 3.98087i −0.407176 0.232963i
\(293\) 10.9159 18.9069i 0.637715 1.10455i −0.348219 0.937413i \(-0.613213\pi\)
0.985933 0.167141i \(-0.0534534\pi\)
\(294\) −18.1862 6.57896i −1.06064 0.383693i
\(295\) 9.30601 + 17.0651i 0.541817 + 0.993571i
\(296\) −9.12783 5.19874i −0.530544 0.302170i
\(297\) −13.8169 23.9315i −0.801735 1.38865i
\(298\) −21.8083 + 3.88942i −1.26332 + 0.225308i
\(299\) 18.9937 6.91315i 1.09844 0.399798i
\(300\) −19.2306 + 20.9377i −1.11028 + 1.20884i
\(301\) 0.369653 + 0.310176i 0.0213065 + 0.0178782i
\(302\) −19.0974 + 22.8501i −1.09893 + 1.31488i
\(303\) 2.30623i 0.132489i
\(304\) −9.96547 + 14.3070i −0.571559 + 0.820561i
\(305\) −9.36551 + 3.15269i −0.536268 + 0.180522i
\(306\) −4.76003 3.97829i −0.272113 0.227424i
\(307\) −17.7548 + 21.1593i −1.01332 + 1.20763i −0.0352433 + 0.999379i \(0.511221\pi\)
−0.978076 + 0.208248i \(0.933224\pi\)
\(308\) 31.5786 5.69570i 1.79936 0.324543i
\(309\) 12.6863 4.61743i 0.721697 0.262676i
\(310\) 24.0106 13.1545i 1.36371 0.747127i
\(311\) −6.34142 + 3.66122i −0.359589 + 0.207609i −0.668900 0.743352i \(-0.733235\pi\)
0.309312 + 0.950961i \(0.399901\pi\)
\(312\) −18.4734 + 32.4352i −1.04585 + 1.83628i
\(313\) 26.2011 4.61996i 1.48097 0.261135i 0.626006 0.779819i \(-0.284689\pi\)
0.854966 + 0.518683i \(0.173578\pi\)
\(314\) −18.5279 6.70257i −1.04559 0.378248i
\(315\) 7.71603 38.2832i 0.434749 2.15702i
\(316\) 4.71950 8.24881i 0.265493 0.464032i
\(317\) −12.9765 + 10.8886i −0.728831 + 0.611562i −0.929813 0.368033i \(-0.880031\pi\)
0.200981 + 0.979595i \(0.435587\pi\)
\(318\) 0.674423 3.86911i 0.0378197 0.216969i
\(319\) −27.2109 9.90395i −1.52352 0.554514i
\(320\) 16.7312 + 6.32974i 0.935305 + 0.353843i
\(321\) −0.612424 + 3.47323i −0.0341822 + 0.193857i
\(322\) 18.3473 + 10.5450i 1.02245 + 0.587649i
\(323\) −3.41839 + 1.57174i −0.190204 + 0.0874537i
\(324\) 1.59187 + 2.73245i 0.0884375 + 0.151803i
\(325\) 10.6129 + 20.6423i 0.588698 + 1.14503i
\(326\) 7.20271 + 19.6694i 0.398921 + 1.08939i
\(327\) −17.9614 6.53740i −0.993265 0.361519i
\(328\) −26.9387 + 9.98439i −1.48744 + 0.551296i
\(329\) −9.71277 + 8.14998i −0.535482 + 0.449323i
\(330\) 13.4680 + 39.7511i 0.741387 + 2.18822i
\(331\) 9.76891 16.9202i 0.536948 0.930021i −0.462119 0.886818i \(-0.652911\pi\)
0.999066 0.0432025i \(-0.0137561\pi\)
\(332\) −9.86223 + 8.34139i −0.541260 + 0.457794i
\(333\) 3.27748 + 18.5875i 0.179605 + 1.01859i
\(334\) 10.1838 + 17.5595i 0.557234 + 0.960811i
\(335\) 3.63870 4.12797i 0.198804 0.225535i
\(336\) −38.4317 + 7.08720i −2.09662 + 0.386638i
\(337\) −28.4901 + 10.3696i −1.55196 + 0.564866i −0.968875 0.247549i \(-0.920375\pi\)
−0.583080 + 0.812415i \(0.698153\pi\)
\(338\) 7.78990 + 9.24683i 0.423715 + 0.502961i
\(339\) 5.31154 6.33005i 0.288483 0.343801i
\(340\) 2.42030 + 3.00714i 0.131259 + 0.163085i
\(341\) 40.4189i 2.18880i
\(342\) 31.2179 2.62395i 1.68807 0.141887i
\(343\) 7.52516 0.406321
\(344\) 0.391515 + 0.0666669i 0.0211091 + 0.00359444i
\(345\) −10.0974 + 25.7716i −0.543625 + 1.38750i
\(346\) −7.98113 9.47382i −0.429068 0.509316i
\(347\) 4.54198 1.65315i 0.243826 0.0887455i −0.217216 0.976123i \(-0.569698\pi\)
0.461043 + 0.887378i \(0.347476\pi\)
\(348\) 33.1867 + 11.9321i 1.77899 + 0.639626i
\(349\) 2.55060 + 4.41777i 0.136531 + 0.236478i 0.926181 0.377079i \(-0.123071\pi\)
−0.789651 + 0.613557i \(0.789738\pi\)
\(350\) −9.36934 + 22.4216i −0.500812 + 1.19849i
\(351\) 27.0598 4.77137i 1.44434 0.254677i
\(352\) 20.0637 17.1728i 1.06940 0.915315i
\(353\) 19.8591 + 11.4657i 1.05700 + 0.610257i 0.924600 0.380940i \(-0.124400\pi\)
0.132396 + 0.991197i \(0.457733\pi\)
\(354\) −34.9489 + 0.0683996i −1.85751 + 0.00363540i
\(355\) −2.53986 + 4.16171i −0.134802 + 0.220881i
\(356\) 10.5590 12.6843i 0.559628 0.672265i
\(357\) −7.92440 2.88425i −0.419404 0.152650i
\(358\) −1.20512 3.29100i −0.0636928 0.173935i
\(359\) 0.881437 + 0.155421i 0.0465205 + 0.00820281i 0.196860 0.980432i \(-0.436926\pi\)
−0.150340 + 0.988634i \(0.548037\pi\)
\(360\) −10.4331 30.4014i −0.549871 1.60229i
\(361\) 6.68968 17.7834i 0.352088 0.935967i
\(362\) 16.3823 28.5036i 0.861034 1.49812i
\(363\) 30.2245 + 5.32940i 1.58638 + 0.279721i
\(364\) −5.41746 + 31.4432i −0.283952 + 1.64807i
\(365\) 0.218244 8.95966i 0.0114234 0.468970i
\(366\) 3.05108 17.5038i 0.159483 0.914939i
\(367\) 22.9620 19.2674i 1.19861 1.00575i 0.198937 0.980012i \(-0.436251\pi\)
0.999669 0.0257372i \(-0.00819333\pi\)
\(368\) 17.4162 0.136346i 0.907881 0.00710751i
\(369\) 44.7047 + 25.8103i 2.32723 + 1.34363i
\(370\) 0.263011 11.7414i 0.0136733 0.610407i
\(371\) −0.582954 3.30610i −0.0302655 0.171644i
\(372\) 0.192681 + 49.2252i 0.00999006 + 2.55221i
\(373\) −12.2669 21.2470i −0.635158 1.10013i −0.986482 0.163872i \(-0.947602\pi\)
0.351324 0.936254i \(-0.385732\pi\)
\(374\) 5.61034 1.00058i 0.290104 0.0517388i
\(375\) −30.8153 7.78950i −1.59129 0.402248i
\(376\) −3.51144 + 9.82674i −0.181089 + 0.506775i
\(377\) 18.5079 22.0569i 0.953207 1.13599i
\(378\) 22.0732 + 18.4481i 1.13532 + 0.948870i
\(379\) −8.65227 −0.444437 −0.222219 0.974997i \(-0.571330\pi\)
−0.222219 + 0.974997i \(0.571330\pi\)
\(380\) −19.3691 2.19952i −0.993614 0.112833i
\(381\) 19.9387 1.02149
\(382\) −10.6401 8.89271i −0.544397 0.454990i
\(383\) 19.1029 22.7660i 0.976114 1.16329i −0.0104555 0.999945i \(-0.503328\pi\)
0.986570 0.163342i \(-0.0522274\pi\)
\(384\) −24.3533 + 21.0100i −1.24277 + 1.07216i
\(385\) 22.3844 + 28.0357i 1.14081 + 1.42883i
\(386\) 25.1445 4.48441i 1.27982 0.228251i
\(387\) −0.356796 0.617989i −0.0181370 0.0314141i
\(388\) −36.6957 + 0.143637i −1.86294 + 0.00729208i
\(389\) −1.11628 6.33074i −0.0565976 0.320981i 0.943344 0.331817i \(-0.107662\pi\)
−0.999941 + 0.0108363i \(0.996551\pi\)
\(390\) −41.7225 0.934595i −2.11270 0.0473251i
\(391\) 3.25481 + 1.87917i 0.164603 + 0.0950335i
\(392\) −11.7426 + 6.87185i −0.593092 + 0.347081i
\(393\) −1.93014 + 1.61958i −0.0973628 + 0.0816971i
\(394\) −2.15075 + 12.3387i −0.108353 + 0.621614i
\(395\) 10.6221 + 0.258738i 0.534455 + 0.0130185i
\(396\) −46.7630 8.05697i −2.34993 0.404878i
\(397\) 7.38246 + 1.30173i 0.370515 + 0.0653318i 0.355805 0.934560i \(-0.384207\pi\)
0.0147094 + 0.999892i \(0.495318\pi\)
\(398\) 3.16760 5.51133i 0.158778 0.276258i
\(399\) 38.6922 17.7902i 1.93703 0.890626i
\(400\) 2.66513 + 19.8216i 0.133257 + 0.991082i
\(401\) −15.6217 2.75453i −0.780112 0.137555i −0.230609 0.973047i \(-0.574072\pi\)
−0.549503 + 0.835492i \(0.685183\pi\)
\(402\) 3.40213 + 9.29066i 0.169683 + 0.463376i
\(403\) 37.7662 + 13.7458i 1.88127 + 0.684726i
\(404\) 1.24694 + 1.03802i 0.0620376 + 0.0516432i
\(405\) −1.84184 + 3.01796i −0.0915216 + 0.149964i
\(406\) 30.1451 0.0589980i 1.49608 0.00292802i
\(407\) −15.0157 8.66930i −0.744299 0.429721i
\(408\) −6.82793 + 1.24533i −0.338033 + 0.0616529i
\(409\) 16.8767 2.97582i 0.834501 0.147145i 0.259958 0.965620i \(-0.416291\pi\)
0.574542 + 0.818475i \(0.305180\pi\)
\(410\) −24.1372 21.1925i −1.19205 1.04662i
\(411\) 14.4525 + 25.0325i 0.712890 + 1.23476i
\(412\) 3.21344 8.93754i 0.158315 0.440321i
\(413\) −28.0721 + 10.2174i −1.38134 + 0.502765i
\(414\) −20.1623 23.9332i −0.990922 1.17625i
\(415\) −13.4461 5.26823i −0.660045 0.258607i
\(416\) 9.22246 + 24.5872i 0.452168 + 1.20549i
\(417\) −3.42737 −0.167839
\(418\) −16.5873 + 23.5180i −0.811311 + 1.15030i
\(419\) 6.05663i 0.295886i −0.988996 0.147943i \(-0.952735\pi\)
0.988996 0.147943i \(-0.0472652\pi\)
\(420\) −27.3950 34.0374i −1.33674 1.66085i
\(421\) 6.50178 7.74852i 0.316877 0.377640i −0.583970 0.811775i \(-0.698502\pi\)
0.900848 + 0.434135i \(0.142946\pi\)
\(422\) −12.0651 14.3216i −0.587320 0.697165i
\(423\) 17.6191 6.41284i 0.856672 0.311803i
\(424\) −1.78841 2.10611i −0.0868529 0.102282i
\(425\) −1.67179 + 3.97883i −0.0810936 + 0.193001i
\(426\) −4.39796 7.58318i −0.213082 0.367406i
\(427\) −2.63728 14.9568i −0.127627 0.723809i
\(428\) 1.60227 + 1.89440i 0.0774487 + 0.0915695i
\(429\) −30.8059 + 53.3574i −1.48732 + 2.57612i
\(430\) 0.142484 + 0.420546i 0.00687120 + 0.0202805i
\(431\) −20.1606 + 16.9168i −0.971103 + 0.814852i −0.982723 0.185080i \(-0.940745\pi\)
0.0116205 + 0.999932i \(0.496301\pi\)
\(432\) 23.3481 + 3.92870i 1.12334 + 0.189019i
\(433\) 29.3923 + 10.6979i 1.41251 + 0.514110i 0.931864 0.362807i \(-0.118182\pi\)
0.480641 + 0.876917i \(0.340404\pi\)
\(434\) 14.4686 + 39.5112i 0.694513 + 1.89660i
\(435\) 5.89922 + 38.9854i 0.282846 + 1.86921i
\(436\) −11.6189 + 6.76898i −0.556447 + 0.324175i
\(437\) −18.3588 + 4.81376i −0.878221 + 0.230273i
\(438\) 13.9711 + 8.02982i 0.667567 + 0.383680i
\(439\) 2.60807 14.7911i 0.124476 0.705940i −0.857141 0.515081i \(-0.827762\pi\)
0.981618 0.190859i \(-0.0611272\pi\)
\(440\) 27.5546 + 10.6098i 1.31361 + 0.505801i
\(441\) 22.9719 + 8.36110i 1.09390 + 0.398148i
\(442\) −0.973070 + 5.58242i −0.0462842 + 0.265529i
\(443\) −10.5270 + 8.83324i −0.500155 + 0.419680i −0.857649 0.514236i \(-0.828076\pi\)
0.357494 + 0.933915i \(0.383631\pi\)
\(444\) 18.3286 + 10.4866i 0.869835 + 0.497670i
\(445\) 18.0884 + 3.64573i 0.857471 + 0.172824i
\(446\) −7.61710 2.75553i −0.360680 0.130478i
\(447\) 43.8550 7.73281i 2.07427 0.365749i
\(448\) −13.4659 + 23.9693i −0.636205 + 1.13244i
\(449\) 1.96533 1.13468i 0.0927497 0.0535491i −0.452908 0.891557i \(-0.649613\pi\)
0.545657 + 0.838008i \(0.316280\pi\)
\(450\) 24.3602 26.4187i 1.14835 1.24539i
\(451\) −44.5608 + 16.2188i −2.09828 + 0.763713i
\(452\) −1.03187 5.72098i −0.0485350 0.269092i
\(453\) 38.4801 45.8588i 1.80795 2.15463i
\(454\) −13.6953 11.4461i −0.642751 0.537192i
\(455\) −33.8083 + 11.3808i −1.58496 + 0.533541i
\(456\) 20.0892 28.7211i 0.940761 1.34499i
\(457\) 0.929220i 0.0434671i 0.999764 + 0.0217335i \(0.00691854\pi\)
−0.999764 + 0.0217335i \(0.993081\pi\)
\(458\) −7.37713 + 8.82675i −0.344711 + 0.412447i
\(459\) 3.91379 + 3.28406i 0.182680 + 0.153287i
\(460\) 9.38954 + 17.0591i 0.437790 + 0.795386i
\(461\) −31.5614 + 11.4874i −1.46996 + 0.535022i −0.948090 0.318003i \(-0.896988\pi\)
−0.521871 + 0.853025i \(0.674766\pi\)
\(462\) −63.5026 + 11.3254i −2.95441 + 0.526906i
\(463\) 5.32246 + 9.21877i 0.247356 + 0.428433i 0.962791 0.270246i \(-0.0871051\pi\)
−0.715436 + 0.698679i \(0.753772\pi\)
\(464\) 21.3886 12.5730i 0.992940 0.583686i
\(465\) −48.3184 + 26.3491i −2.24071 + 1.22191i
\(466\) −4.35656 1.57601i −0.201814 0.0730072i
\(467\) 3.02908 5.24652i 0.140169 0.242780i −0.787391 0.616454i \(-0.788569\pi\)
0.927560 + 0.373674i \(0.121902\pi\)
\(468\) 23.4315 40.9539i 1.08312 1.89310i
\(469\) 5.43617 + 6.47857i 0.251019 + 0.299153i
\(470\) −11.5322 + 1.76813i −0.531942 + 0.0815580i
\(471\) 37.2189 + 13.5466i 1.71496 + 0.624193i
\(472\) −15.6933 + 18.9271i −0.722341 + 0.871190i
\(473\) 0.645574 + 0.113832i 0.0296835 + 0.00523401i
\(474\) −9.51972 + 16.5634i −0.437255 + 0.760783i
\(475\) −8.12969 20.2215i −0.373016 0.927825i
\(476\) −5.12618 + 2.98642i −0.234958 + 0.136882i
\(477\) −0.862073 + 4.88906i −0.0394716 + 0.223855i
\(478\) −9.81217 + 3.59310i −0.448798 + 0.164345i
\(479\) 2.52323 6.93251i 0.115289 0.316754i −0.868605 0.495505i \(-0.834983\pi\)
0.983894 + 0.178750i \(0.0572054\pi\)
\(480\) −33.6087 12.7900i −1.53402 0.583783i
\(481\) 13.2069 11.0819i 0.602184 0.505292i
\(482\) 19.0803 0.0373427i 0.869084 0.00170091i
\(483\) −36.8407 21.2700i −1.67631 0.967819i
\(484\) 16.4854 13.9432i 0.749335 0.633782i
\(485\) −19.6424 36.0197i −0.891914 1.63557i
\(486\) 9.40954 + 16.2244i 0.426825 + 0.735953i
\(487\) 7.61067 4.39402i 0.344873 0.199112i −0.317552 0.948241i \(-0.602861\pi\)
0.662425 + 0.749129i \(0.269527\pi\)
\(488\) −8.09076 9.52802i −0.366252 0.431313i
\(489\) −14.4017 39.5684i −0.651268 1.78934i
\(490\) −12.9999 7.89885i −0.587276 0.356834i
\(491\) 14.0462 16.7396i 0.633896 0.755448i −0.349497 0.936938i \(-0.613647\pi\)
0.983393 + 0.181490i \(0.0580919\pi\)
\(492\) 54.1922 19.9649i 2.44317 0.900088i
\(493\) 5.35379 0.241122
\(494\) −16.3335 23.4968i −0.734877 1.05717i
\(495\) −16.9258 50.2805i −0.760758 2.25994i
\(496\) 26.7020 + 22.0517i 1.19896 + 0.990153i
\(497\) −5.74012 4.81653i −0.257479 0.216051i
\(498\) 19.8581 16.7293i 0.889865 0.749658i
\(499\) 10.2528 + 28.1692i 0.458976 + 1.26103i 0.926248 + 0.376914i \(0.123015\pi\)
−0.467272 + 0.884114i \(0.654763\pi\)
\(500\) −18.0814 + 13.1553i −0.808625 + 0.588324i
\(501\) −20.4027 35.3386i −0.911527 1.57881i
\(502\) 16.0698 + 27.7083i 0.717230 + 1.23668i
\(503\) −4.97150 28.1948i −0.221668 1.25714i −0.868953 0.494895i \(-0.835207\pi\)
0.647284 0.762249i \(-0.275905\pi\)
\(504\) 48.5970 8.86347i 2.16468 0.394810i
\(505\) −0.358397 + 1.77819i −0.0159485 + 0.0791286i
\(506\) 28.7478 0.0562633i 1.27800 0.00250121i
\(507\) −15.6231 18.6189i −0.693846 0.826893i
\(508\) 8.97428 10.7805i 0.398169 0.478309i
\(509\) 6.83422 18.7769i 0.302922 0.832270i −0.691067 0.722790i \(-0.742859\pi\)
0.993989 0.109480i \(-0.0349185\pi\)
\(510\) −4.85353 6.05456i −0.214918 0.268100i
\(511\) 13.5649 + 2.39186i 0.600077 + 0.105810i
\(512\) 0.398543 + 22.6239i 0.0176133 + 0.999845i
\(513\) −25.7142 + 2.11068i −1.13531 + 0.0931889i
\(514\) −4.38393 2.51964i −0.193367 0.111136i
\(515\) 10.4992 1.58872i 0.462650 0.0700076i
\(516\) −0.786772 0.135556i −0.0346357 0.00596752i
\(517\) −5.89108 + 16.1856i −0.259089 + 0.711842i
\(518\) 17.7818 + 3.09954i 0.781287 + 0.136186i
\(519\) 16.0066 + 19.0759i 0.702612 + 0.837341i
\(520\) −19.2843 + 22.1380i −0.845674 + 0.970817i
\(521\) −31.5755 18.2301i −1.38335 0.798676i −0.390793 0.920479i \(-0.627799\pi\)
−0.992554 + 0.121803i \(0.961133\pi\)
\(522\) −41.9200 15.1648i −1.83479 0.663745i
\(523\) −15.1193 + 2.66594i −0.661120 + 0.116573i −0.494134 0.869386i \(-0.664515\pi\)
−0.166986 + 0.985959i \(0.553404\pi\)
\(524\) 0.00693830 + 1.77256i 0.000303101 + 0.0774346i
\(525\) 18.9227 45.0358i 0.825855 1.96552i
\(526\) 10.1993 1.81900i 0.444710 0.0793122i
\(527\) 2.55588 + 7.02222i 0.111336 + 0.305893i
\(528\) −40.4002 + 34.4424i −1.75819 + 1.49891i
\(529\) −3.09569 2.59760i −0.134595 0.112939i
\(530\) 1.12128 2.87843i 0.0487054 0.125031i
\(531\) 44.1772 1.91713
\(532\) 7.79619 28.9275i 0.338008 1.25417i
\(533\) 47.1520i 2.04238i
\(534\) −21.2760 + 25.4567i −0.920702 + 1.10162i
\(535\) −1.01196 + 2.58283i −0.0437507 + 0.111665i
\(536\) 6.55459 + 2.34218i 0.283115 + 0.101167i
\(537\) 2.40963 + 6.62039i 0.103983 + 0.285691i
\(538\) 4.91968 + 27.5851i 0.212102 + 1.18928i
\(539\) −19.4485 + 11.2286i −0.837708 + 0.483651i
\(540\) 8.54333 + 25.0544i 0.367646 + 1.07817i
\(541\) −4.74621 26.9171i −0.204055 1.15726i −0.898919 0.438114i \(-0.855647\pi\)
0.694864 0.719141i \(-0.255465\pi\)
\(542\) −20.8858 7.55554i −0.897120 0.324538i
\(543\) −33.0443 + 57.2344i −1.41807 + 2.45616i
\(544\) −2.39988 + 4.25227i −0.102894 + 0.182315i
\(545\) −12.8330 7.83187i −0.549705 0.335480i
\(546\) 11.0140 63.1866i 0.471357 2.70414i
\(547\) 6.21084 17.0641i 0.265556 0.729610i −0.733212 0.680000i \(-0.761980\pi\)
0.998769 0.0496104i \(-0.0157980\pi\)
\(548\) 20.0396 + 3.45271i 0.856051 + 0.147492i
\(549\) −3.90001 + 22.1181i −0.166449 + 0.943977i
\(550\) 4.20687 + 32.7427i 0.179382 + 1.39615i
\(551\) −19.2200 + 19.0147i −0.818798 + 0.810055i
\(552\) −35.0110 + 0.205566i −1.49017 + 0.00874946i
\(553\) −2.83566 + 16.0818i −0.120585 + 0.683869i
\(554\) 20.3153 7.43924i 0.863116 0.316063i
\(555\) −0.574906 + 23.6019i −0.0244034 + 1.00184i
\(556\) −1.54263 + 1.85312i −0.0654223 + 0.0785899i
\(557\) 30.0001 + 35.7528i 1.27115 + 1.51489i 0.750020 + 0.661415i \(0.230044\pi\)
0.521127 + 0.853479i \(0.325512\pi\)
\(558\) −0.121780 62.2234i −0.00515534 2.63413i
\(559\) −0.325910 + 0.564493i −0.0137845 + 0.0238755i
\(560\) −30.7338 0.507926i −1.29874 0.0214638i
\(561\) −11.2820 + 1.98932i −0.476326 + 0.0839892i
\(562\) −13.1484 22.6710i −0.554630 0.956320i
\(563\) −19.0270 + 10.9853i −0.801893 + 0.462973i −0.844133 0.536134i \(-0.819884\pi\)
0.0422394 + 0.999108i \(0.486551\pi\)
\(564\) 7.09745 19.7402i 0.298857 0.831211i
\(565\) 5.07913 4.05529i 0.213681 0.170607i
\(566\) 10.4751 + 12.4343i 0.440302 + 0.522651i
\(567\) −4.16258 3.49282i −0.174812 0.146684i
\(568\) −6.07960 1.03523i −0.255094 0.0434373i
\(569\) 37.1428i 1.55711i 0.627579 + 0.778553i \(0.284046\pi\)
−0.627579 + 0.778553i \(0.715954\pi\)
\(570\) 38.9277 + 4.49773i 1.63050 + 0.188389i
\(571\) 26.5171i 1.10971i 0.831948 + 0.554854i \(0.187226\pi\)
−0.831948 + 0.554854i \(0.812774\pi\)
\(572\) 14.9840 + 40.6720i 0.626511 + 1.70058i
\(573\) 21.3541 + 17.9182i 0.892081 + 0.748545i
\(574\) 37.7544 31.8058i 1.57584 1.32755i
\(575\) −11.7905 + 18.3018i −0.491698 + 0.763237i
\(576\) 30.8357 26.4974i 1.28482 1.10406i
\(577\) 19.8642 11.4686i 0.826956 0.477443i −0.0258536 0.999666i \(-0.508230\pi\)
0.852809 + 0.522223i \(0.174897\pi\)
\(578\) 19.8856 11.5329i 0.827134 0.479707i
\(579\) −50.5638 + 8.91576i −2.10136 + 0.370527i
\(580\) 23.7340 + 14.3575i 0.985500 + 0.596161i
\(581\) 11.0975 19.2214i 0.460400 0.797437i
\(582\) 73.7673 0.144372i 3.05775 0.00598443i
\(583\) −2.93147 3.49359i −0.121409 0.144690i
\(584\) 10.6299 3.93980i 0.439869 0.163030i
\(585\) 52.7369 + 1.28459i 2.18040 + 0.0531112i
\(586\) 10.6166 + 28.9922i 0.438567 + 1.19766i
\(587\) −6.60964 + 37.4852i −0.272809 + 1.54718i 0.473027 + 0.881048i \(0.343161\pi\)
−0.745836 + 0.666130i \(0.767950\pi\)
\(588\) 23.6324 13.7678i 0.974583 0.567774i
\(589\) −34.1160 16.1320i −1.40572 0.664709i
\(590\) −26.9576 5.37846i −1.10983 0.221428i
\(591\) 4.37205 24.7951i 0.179842 1.01993i
\(592\) 13.9195 5.19003i 0.572087 0.213309i
\(593\) −2.34352 + 6.43876i −0.0962367 + 0.264408i −0.978465 0.206414i \(-0.933821\pi\)
0.882228 + 0.470822i \(0.156043\pi\)
\(594\) 38.4995 + 6.71083i 1.57965 + 0.275349i
\(595\) −5.66181 3.45535i −0.232112 0.141656i
\(596\) 15.5578 27.1922i 0.637273 1.11383i
\(597\) −6.38929 + 11.0666i −0.261496 + 0.452925i
\(598\) −9.72408 + 26.8803i −0.397647 + 1.09922i
\(599\) 4.92120 + 27.9095i 0.201075 + 1.14035i 0.903498 + 0.428593i \(0.140990\pi\)
−0.702423 + 0.711760i \(0.747898\pi\)
\(600\) −5.27954 39.8565i −0.215536 1.62713i
\(601\) 24.7723 14.3023i 1.01048 0.583403i 0.0991509 0.995072i \(-0.468387\pi\)
0.911333 + 0.411669i \(0.135054\pi\)
\(602\) −0.671825 + 0.119817i −0.0273815 + 0.00488338i
\(603\) −4.27747 11.7522i −0.174192 0.478588i
\(604\) −7.47549 41.4463i −0.304173 1.68642i
\(605\) 22.4761 + 8.80620i 0.913784 + 0.358023i
\(606\) −2.50255 2.09155i −0.101659 0.0849636i
\(607\) 10.8352i 0.439787i −0.975524 0.219893i \(-0.929429\pi\)
0.975524 0.219893i \(-0.0705709\pi\)
\(608\) −6.48703 23.7890i −0.263084 0.964773i
\(609\) −60.5987 −2.45558
\(610\) 5.07267 13.0220i 0.205387 0.527245i
\(611\) −13.1199 11.0089i −0.530775 0.445373i
\(612\) 8.63391 1.55726i 0.349005 0.0629485i
\(613\) −1.27385 3.49987i −0.0514503 0.141359i 0.911306 0.411731i \(-0.135076\pi\)
−0.962756 + 0.270372i \(0.912853\pi\)
\(614\) −6.85846 38.4560i −0.276785 1.55196i
\(615\) 48.4379 + 42.6968i 1.95320 + 1.72170i
\(616\) −22.4586 + 39.4324i −0.904884 + 1.58877i
\(617\) −31.4246 + 5.54100i −1.26511 + 0.223072i −0.765644 0.643264i \(-0.777580\pi\)
−0.499461 + 0.866336i \(0.666469\pi\)
\(618\) −6.49490 + 17.9539i −0.261263 + 0.722210i
\(619\) 6.35552 + 3.66936i 0.255450 + 0.147484i 0.622257 0.782813i \(-0.286216\pi\)
−0.366807 + 0.930297i \(0.619549\pi\)
\(620\) −7.50123 + 37.9846i −0.301257 + 1.52550i
\(621\) 16.5664 + 19.7431i 0.664787 + 0.792262i
\(622\) 1.77825 10.2017i 0.0713013 0.409050i
\(623\) −9.69936 + 26.6488i −0.388597 + 1.06766i
\(624\) −18.4425 49.4621i −0.738291 1.98007i
\(625\) −22.5493 10.7948i −0.901972 0.431794i
\(626\) −18.7490 + 32.6214i −0.749359 + 1.30381i
\(627\) 33.4367 47.2112i 1.33533 1.88543i
\(628\) 24.0764 14.0265i 0.960753 0.559717i
\(629\) 3.15697 + 0.556659i 0.125877 + 0.0221954i
\(630\) 34.5444 + 43.0926i 1.37628 + 1.71685i
\(631\) −6.73065 + 18.4923i −0.267943 + 0.736168i 0.730630 + 0.682773i \(0.239226\pi\)
−0.998573 + 0.0533944i \(0.982996\pi\)
\(632\) 4.67082 + 12.6022i 0.185795 + 0.501290i
\(633\) 24.1973 + 28.8372i 0.961754 + 1.14617i
\(634\) −0.0468854 23.9561i −0.00186206 0.951420i
\(635\) 15.3736 + 3.09856i 0.610081 + 0.122963i
\(636\) 3.58683 + 4.24079i 0.142227 + 0.168158i
\(637\) −3.87757 21.9908i −0.153635 0.871308i
\(638\) 35.4250 20.5452i 1.40249 0.813392i
\(639\) 5.54047 + 9.59637i 0.219178 + 0.379627i
\(640\) −22.0424 + 12.4150i −0.871303 + 0.490745i
\(641\) 2.71749 + 7.46623i 0.107334 + 0.294898i 0.981719 0.190334i \(-0.0609572\pi\)
−0.874385 + 0.485233i \(0.838735\pi\)
\(642\) −3.21348 3.81449i −0.126826 0.150546i
\(643\) 7.22956 + 6.06632i 0.285106 + 0.239232i 0.774113 0.633047i \(-0.218196\pi\)
−0.489007 + 0.872280i \(0.662641\pi\)
\(644\) −28.0821 + 10.3457i −1.10659 + 0.407678i
\(645\) −0.284771 0.845954i −0.0112129 0.0333094i
\(646\) 1.39466 5.13482i 0.0548721 0.202027i
\(647\) 36.5463 1.43678 0.718391 0.695640i \(-0.244879\pi\)
0.718391 + 0.695640i \(0.244879\pi\)
\(648\) −4.40876 0.750720i −0.173192 0.0294911i
\(649\) −26.0861 + 31.0883i −1.02397 + 1.22032i
\(650\) −32.0245 7.20446i −1.25610 0.282582i
\(651\) −28.9296 79.4835i −1.13384 3.11520i
\(652\) −27.8761 10.0227i −1.09171 0.392518i
\(653\) −37.8679 + 21.8631i −1.48189 + 0.855567i −0.999789 0.0205502i \(-0.993458\pi\)
−0.482097 + 0.876118i \(0.660125\pi\)
\(654\) 23.3834 13.5615i 0.914362 0.530296i
\(655\) −1.73991 + 0.948811i −0.0679838 + 0.0370731i
\(656\) 13.5968 38.2869i 0.530867 1.49485i
\(657\) −17.6403 10.1846i −0.688214 0.397340i
\(658\) −0.0350933 17.9310i −0.00136808 0.699021i
\(659\) 7.93151 6.65533i 0.308968 0.259255i −0.475097 0.879933i \(-0.657587\pi\)
0.784065 + 0.620678i \(0.213143\pi\)
\(660\) −55.3493 21.4365i −2.15447 0.834413i
\(661\) −2.38897 + 6.56364i −0.0929201 + 0.255296i −0.977442 0.211202i \(-0.932262\pi\)
0.884522 + 0.466498i \(0.154484\pi\)
\(662\) 9.50103 + 25.9458i 0.369268 + 1.00841i
\(663\) 1.97806 11.2181i 0.0768213 0.435675i
\(664\) −0.107252 18.2667i −0.00416220 0.708887i
\(665\) 32.5979 7.70408i 1.26409 0.298751i
\(666\) −23.1422 13.3008i −0.896742 0.515397i
\(667\) 26.5968 + 4.68974i 1.02983 + 0.181587i
\(668\) −28.2901 4.87421i −1.09458 0.188589i
\(669\) 15.3013 + 5.56921i 0.591581 + 0.215318i
\(670\) 1.17937 + 7.69218i 0.0455632 + 0.297175i
\(671\) −13.2620 15.8050i −0.511973 0.610145i
\(672\) 27.1639 48.1308i 1.04787 1.85669i
\(673\) −7.96086 + 13.7886i −0.306869 + 0.531512i −0.977676 0.210120i \(-0.932615\pi\)
0.670807 + 0.741632i \(0.265948\pi\)
\(674\) 14.5859 40.3197i 0.561827 1.55306i
\(675\) −20.1048 + 21.7183i −0.773836 + 0.835938i
\(676\) −17.0988 + 0.0669294i −0.657645 + 0.00257421i
\(677\) −6.37809 11.0472i −0.245130 0.424578i 0.717038 0.697034i \(-0.245497\pi\)
−0.962168 + 0.272456i \(0.912164\pi\)
\(678\) 2.05178 + 11.5045i 0.0787982 + 0.441829i
\(679\) 59.2522 21.5661i 2.27389 0.827629i
\(680\) −5.45814 0.100890i −0.209310 0.00386897i
\(681\) 27.4856 + 23.0631i 1.05325 + 0.883782i
\(682\) 43.8596 + 36.6566i 1.67947 + 1.40365i
\(683\) 21.5440i 0.824358i 0.911103 + 0.412179i \(0.135232\pi\)
−0.911103 + 0.412179i \(0.864768\pi\)
\(684\) −25.4647 + 36.2551i −0.973666 + 1.38625i
\(685\) 7.25332 + 21.5470i 0.277135 + 0.823270i
\(686\) −6.82470 + 8.16576i −0.260568 + 0.311770i
\(687\) 14.8644 17.7148i 0.567114 0.675860i
\(688\) −0.427414 + 0.364382i −0.0162950 + 0.0138920i
\(689\) 4.26126 1.55097i 0.162341 0.0590873i
\(690\) −18.8080 34.3297i −0.716009 1.30691i
\(691\) −44.4006 + 25.6347i −1.68908 + 0.975190i −0.733854 + 0.679307i \(0.762281\pi\)
−0.955224 + 0.295883i \(0.904386\pi\)
\(692\) 17.5185 0.0685724i 0.665954 0.00260673i
\(693\) 80.2983 14.1588i 3.05028 0.537847i
\(694\) −2.32533 + 6.42789i −0.0882681 + 0.243999i
\(695\) −2.64264 0.532627i −0.100241 0.0202037i
\(696\) −43.0454 + 25.1904i −1.63163 + 0.954840i
\(697\) 6.71623 5.63558i 0.254395 0.213463i
\(698\) −7.10703 1.23882i −0.269005 0.0468902i
\(699\) 8.75148 + 3.18528i 0.331011 + 0.120478i
\(700\) −15.8331 30.5015i −0.598436 1.15285i
\(701\) −1.41289 + 8.01288i −0.0533640 + 0.302642i −0.999795 0.0202649i \(-0.993549\pi\)
0.946431 + 0.322907i \(0.104660\pi\)
\(702\) −19.3634 + 33.6905i −0.730826 + 1.27157i
\(703\) −13.3105 + 9.21402i −0.502015 + 0.347513i
\(704\) 0.438567 + 37.3460i 0.0165291 + 1.40753i
\(705\) 23.1894 3.50898i 0.873362 0.132156i
\(706\) −30.4523 + 11.1513i −1.14609 + 0.419684i
\(707\) −2.61973 0.953504i −0.0985252 0.0358602i
\(708\) 31.6215 37.9860i 1.18841 1.42760i
\(709\) 24.1744 20.2847i 0.907888 0.761808i −0.0638282 0.997961i \(-0.520331\pi\)
0.971716 + 0.236153i \(0.0758865\pi\)
\(710\) −2.21255 6.53040i −0.0830355 0.245082i
\(711\) 12.0743 20.9134i 0.452823 0.784313i
\(712\) 4.18788 + 22.9615i 0.156948 + 0.860518i
\(713\) 6.54600 + 37.1242i 0.245150 + 1.39031i
\(714\) 10.3165 5.98321i 0.386087 0.223916i
\(715\) −32.0445 + 36.3533i −1.19840 + 1.35954i
\(716\) 4.66410 + 1.67695i 0.174306 + 0.0626705i
\(717\) 19.7388 7.18435i 0.737160 0.268304i
\(718\) −0.968042 + 0.815517i −0.0361270 + 0.0304348i
\(719\) 23.9085 28.4930i 0.891637 1.06261i −0.106032 0.994363i \(-0.533815\pi\)
0.997668 0.0682484i \(-0.0217411\pi\)
\(720\) 42.4513 + 16.2503i 1.58207 + 0.605615i
\(721\) 16.3199i 0.607785i
\(722\) 13.2302 + 23.3872i 0.492378 + 0.870381i
\(723\) −38.3559 −1.42647
\(724\) 16.0727 + 43.6273i 0.597338 + 1.62140i
\(725\) −1.50996 + 30.9761i −0.0560784 + 1.15042i
\(726\) −33.1942 + 27.9641i −1.23195 + 1.03785i
\(727\) −45.1521 + 16.4340i −1.67460 + 0.609505i −0.992554 0.121804i \(-0.961132\pi\)
−0.682046 + 0.731309i \(0.738910\pi\)
\(728\) −29.2067 34.3950i −1.08247 1.27476i
\(729\) −21.2232 36.7597i −0.786046 1.36147i
\(730\) 9.52445 + 8.36249i 0.352516 + 0.309510i
\(731\) −0.119358 + 0.0210460i −0.00441461 + 0.000778414i
\(732\) 16.2268 + 19.1853i 0.599759 + 0.709110i
\(733\) −9.72122 5.61255i −0.359062 0.207304i 0.309608 0.950864i \(-0.399802\pi\)
−0.668669 + 0.743560i \(0.733136\pi\)
\(734\) 0.0829641 + 42.3906i 0.00306226 + 1.56467i
\(735\) 26.1017 + 15.9296i 0.962775 + 0.587574i
\(736\) −15.6471 + 19.0224i −0.576759 + 0.701176i
\(737\) 10.7961 + 3.92944i 0.397678 + 0.144743i
\(738\) −68.5509 + 25.1025i −2.52339 + 0.924036i
\(739\) −29.3362 5.17276i −1.07915 0.190283i −0.394310 0.918977i \(-0.629016\pi\)
−0.684839 + 0.728694i \(0.740127\pi\)
\(740\) 12.5024 + 10.9339i 0.459598 + 0.401938i
\(741\) 32.7415 + 47.2981i 1.20279 + 1.73754i
\(742\) 4.11623 + 2.36578i 0.151112 + 0.0868504i
\(743\) −25.3989 4.47851i −0.931794 0.164300i −0.312910 0.949783i \(-0.601304\pi\)
−0.618884 + 0.785482i \(0.712415\pi\)
\(744\) −53.5904 44.4341i −1.96472 1.62903i
\(745\) 35.0157 + 0.852928i 1.28287 + 0.0312489i
\(746\) 34.1807 + 5.95804i 1.25145 + 0.218139i
\(747\) −25.1430 + 21.0975i −0.919935 + 0.771917i
\(748\) −4.00236 + 6.99538i −0.146341 + 0.255776i
\(749\) −3.69217 2.13168i −0.134909 0.0778898i
\(750\) 36.3995 26.3741i 1.32912 0.963045i
\(751\) −5.71418 32.4067i −0.208513 1.18254i −0.891814 0.452402i \(-0.850567\pi\)
0.683301 0.730137i \(-0.260544\pi\)
\(752\) −7.47868 12.7224i −0.272719 0.463938i
\(753\) −32.1949 55.7633i −1.17325 2.03213i
\(754\) 7.14938 + 40.0872i 0.260365 + 1.45989i
\(755\) 36.7963 29.3790i 1.33916 1.06921i
\(756\) −40.0372 + 7.22133i −1.45614 + 0.262637i
\(757\) −7.90278 + 9.41817i −0.287231 + 0.342309i −0.890295 0.455384i \(-0.849502\pi\)
0.603064 + 0.797693i \(0.293946\pi\)
\(758\) 7.84689 9.38881i 0.285012 0.341017i
\(759\) −57.7899 −2.09764
\(760\) 19.9529 19.0232i 0.723769 0.690043i
\(761\) 11.3331 0.410825 0.205413 0.978675i \(-0.434146\pi\)
0.205413 + 0.978675i \(0.434146\pi\)
\(762\) −18.0828 + 21.6360i −0.655069 + 0.783791i
\(763\) 14.8522 17.7001i 0.537685 0.640788i
\(764\) 19.2994 3.48096i 0.698229 0.125937i
\(765\) 6.12010 + 7.66525i 0.221273 + 0.277138i
\(766\) 7.37922 + 41.3760i 0.266622 + 1.49497i
\(767\) −20.1765 34.9467i −0.728532 1.26185i
\(768\) −0.712153 45.4808i −0.0256976 1.64115i