Properties

Label 169.2.k.a.4.1
Level $169$
Weight $2$
Character 169.4
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [169,2,Mod(4,169)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(169, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("169.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 169 = 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 169.k (of order \(78\), degree \(24\), 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: \(1.34947179416\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 169.4
Dual form 169.2.k.a.127.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.81837 - 0.113576i) q^{2} +(0.467697 - 1.61468i) q^{3} +(5.93678 + 0.479267i) q^{4} +(1.59753 + 0.605865i) q^{5} +(-1.50153 + 4.49764i) q^{6} +(1.15667 + 2.71481i) q^{7} +(-11.0774 - 1.34504i) q^{8} +(0.147123 + 0.0930351i) q^{9} +O(q^{10})\) \(q+(-2.81837 - 0.113576i) q^{2} +(0.467697 - 1.61468i) q^{3} +(5.93678 + 0.479267i) q^{4} +(1.59753 + 0.605865i) q^{5} +(-1.50153 + 4.49764i) q^{6} +(1.15667 + 2.71481i) q^{7} +(-11.0774 - 1.34504i) q^{8} +(0.147123 + 0.0930351i) q^{9} +(-4.43363 - 1.88899i) q^{10} +(1.00246 + 1.58527i) q^{11} +(3.55048 - 9.36185i) q^{12} +(-1.18730 + 3.40445i) q^{13} +(-2.95159 - 7.78269i) q^{14} +(1.72544 - 2.29614i) q^{15} +(19.3096 + 3.13811i) q^{16} +(-0.139658 + 0.0595025i) q^{17} +(-0.404081 - 0.278917i) q^{18} +(3.60617 - 2.08202i) q^{19} +(9.19385 + 4.36253i) q^{20} +(4.92451 - 0.597944i) q^{21} +(-2.64526 - 4.58172i) q^{22} +(-0.549486 + 0.951737i) q^{23} +(-7.35269 + 17.2574i) q^{24} +(-1.55751 - 1.37983i) q^{25} +(3.73292 - 9.46015i) q^{26} +(3.99388 - 3.53827i) q^{27} +(5.56579 + 16.6716i) q^{28} +(0.145118 - 3.60106i) q^{29} +(-5.12371 + 6.27541i) q^{30} +(-3.40949 - 3.84852i) q^{31} +(-32.1985 - 6.57336i) q^{32} +(3.02854 - 0.877228i) q^{33} +(0.400364 - 0.151838i) q^{34} +(0.203016 + 5.03779i) q^{35} +(0.828850 + 0.622840i) q^{36} +(-3.51635 + 0.717868i) q^{37} +(-10.4000 + 5.45833i) q^{38} +(4.94180 + 3.50937i) q^{39} +(-16.8817 - 8.86018i) q^{40} +(-4.62982 - 1.34104i) q^{41} +(-13.9470 + 1.12592i) q^{42} +(0.658342 - 3.22477i) q^{43} +(5.19163 + 9.89182i) q^{44} +(0.178668 + 0.237764i) q^{45} +(1.65675 - 2.61994i) q^{46} +(7.83635 - 5.40904i) q^{47} +(14.0981 - 29.7110i) q^{48} +(-1.18322 + 1.23186i) q^{49} +(4.23292 + 4.06577i) q^{50} +(0.0307600 + 0.253331i) q^{51} +(-8.68040 + 19.6425i) q^{52} +(-0.943119 + 7.76728i) q^{53} +(-11.6581 + 9.51854i) q^{54} +(0.641010 + 3.13987i) q^{55} +(-9.16140 - 31.6288i) q^{56} +(-1.67520 - 6.79657i) q^{57} +(-0.817990 + 10.1326i) q^{58} +(0.889991 + 5.47633i) q^{59} +(11.3440 - 12.8048i) q^{60} +(-8.26450 + 6.21037i) q^{61} +(9.17210 + 11.2338i) q^{62} +(-0.0823991 + 0.507022i) q^{63} +(52.0117 + 12.8197i) q^{64} +(-3.95940 + 4.71939i) q^{65} +(-8.63518 + 2.12838i) q^{66} +(-1.16823 - 14.4711i) q^{67} +(-0.857634 + 0.286320i) q^{68} +(1.27976 + 1.33237i) q^{69} -14.2214i q^{70} +(-3.77271 + 3.62374i) q^{71} +(-1.50461 - 1.22848i) q^{72} +(-0.450298 + 0.857971i) q^{73} +(9.99190 - 1.62384i) q^{74} +(-2.95643 + 1.86953i) q^{75} +(22.4069 - 10.6322i) q^{76} +(-3.14417 + 4.55512i) q^{77} +(-13.5292 - 10.4520i) q^{78} +(-0.951562 - 1.37858i) q^{79} +(28.9464 + 16.7122i) q^{80} +(-3.62137 - 7.63188i) q^{81} +(12.8962 + 4.30539i) q^{82} +(2.87759 - 11.6748i) q^{83} +(29.5223 - 1.18971i) q^{84} +(-0.259158 + 0.0104437i) q^{85} +(-2.22171 + 9.01382i) q^{86} +(-5.74668 - 1.91853i) q^{87} +(-8.97244 - 18.9090i) q^{88} +(4.63954 + 2.67864i) q^{89} +(-0.476547 - 0.690398i) q^{90} +(-10.6158 + 0.714534i) q^{91} +(-3.71831 + 5.38691i) q^{92} +(-7.80874 + 3.70529i) q^{93} +(-22.7000 + 14.3546i) q^{94} +(7.02241 - 1.14125i) q^{95} +(-25.6730 + 48.9158i) q^{96} +(-6.11236 - 4.99059i) q^{97} +(3.47465 - 3.33745i) q^{98} +0.326493i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9} - 27 q^{10} - 26 q^{11} - 14 q^{12} - 34 q^{13} - 30 q^{14} - 84 q^{15} - 13 q^{16} - 31 q^{17} + 52 q^{18} - 33 q^{19} - 29 q^{20} - 26 q^{21} - 33 q^{22} + 57 q^{23} + 58 q^{24} + 2 q^{25} - 29 q^{26} - 30 q^{27} - 26 q^{28} - 19 q^{29} + 178 q^{30} - 78 q^{31} - 30 q^{32} - 26 q^{33} - 91 q^{34} - 18 q^{35} - 51 q^{36} - 41 q^{37} + 25 q^{38} + 12 q^{39} - 134 q^{40} - 17 q^{41} + 250 q^{42} - 28 q^{43} + 42 q^{45} + 18 q^{46} + 117 q^{47} - 57 q^{48} - 117 q^{49} - 20 q^{50} - 59 q^{51} + 37 q^{52} - 75 q^{53} + 118 q^{54} + 64 q^{55} - 42 q^{56} - 104 q^{57} - 87 q^{58} + 170 q^{59} + 78 q^{60} - 15 q^{61} + 19 q^{62} + 39 q^{63} + 32 q^{64} - 17 q^{65} + 73 q^{66} + 20 q^{67} - 76 q^{68} - 11 q^{69} + 46 q^{71} - 198 q^{72} - 26 q^{73} + 29 q^{74} - 70 q^{75} + 58 q^{76} + 6 q^{77} + 128 q^{78} - 54 q^{79} - 24 q^{80} - 7 q^{81} + 81 q^{82} + 234 q^{83} - 273 q^{84} - 74 q^{85} + 52 q^{86} - 112 q^{87} + 256 q^{88} - 27 q^{89} + 28 q^{90} - 78 q^{91} - 34 q^{92} + 51 q^{93} + 28 q^{94} - 11 q^{95} + 143 q^{96} + 40 q^{97} - 47 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.81837 0.113576i −1.99289 0.0803106i −0.993461 0.114176i \(-0.963577\pi\)
−0.999426 + 0.0338657i \(0.989218\pi\)
\(3\) 0.467697 1.61468i 0.270025 0.932235i −0.704826 0.709380i \(-0.748975\pi\)
0.974852 0.222855i \(-0.0715378\pi\)
\(4\) 5.93678 + 0.479267i 2.96839 + 0.239633i
\(5\) 1.59753 + 0.605865i 0.714439 + 0.270951i 0.684925 0.728613i \(-0.259835\pi\)
0.0295140 + 0.999564i \(0.490604\pi\)
\(6\) −1.50153 + 4.49764i −0.612998 + 1.83615i
\(7\) 1.15667 + 2.71481i 0.437181 + 1.02610i 0.982227 + 0.187695i \(0.0601016\pi\)
−0.545047 + 0.838406i \(0.683488\pi\)
\(8\) −11.0774 1.34504i −3.91646 0.475544i
\(9\) 0.147123 + 0.0930351i 0.0490411 + 0.0310117i
\(10\) −4.43363 1.88899i −1.40204 0.597352i
\(11\) 1.00246 + 1.58527i 0.302253 + 0.477975i 0.961825 0.273667i \(-0.0882365\pi\)
−0.659571 + 0.751642i \(0.729262\pi\)
\(12\) 3.55048 9.36185i 1.02494 2.70253i
\(13\) −1.18730 + 3.40445i −0.329299 + 0.944226i
\(14\) −2.95159 7.78269i −0.788845 2.08001i
\(15\) 1.72544 2.29614i 0.445507 0.592862i
\(16\) 19.3096 + 3.13811i 4.82739 + 0.784527i
\(17\) −0.139658 + 0.0595025i −0.0338719 + 0.0144315i −0.408836 0.912608i \(-0.634065\pi\)
0.374964 + 0.927039i \(0.377655\pi\)
\(18\) −0.404081 0.278917i −0.0952428 0.0657413i
\(19\) 3.60617 2.08202i 0.827313 0.477649i −0.0256190 0.999672i \(-0.508156\pi\)
0.852932 + 0.522023i \(0.174822\pi\)
\(20\) 9.19385 + 4.36253i 2.05581 + 0.975492i
\(21\) 4.92451 0.597944i 1.07462 0.130482i
\(22\) −2.64526 4.58172i −0.563970 0.976825i
\(23\) −0.549486 + 0.951737i −0.114576 + 0.198451i −0.917610 0.397482i \(-0.869884\pi\)
0.803034 + 0.595933i \(0.203218\pi\)
\(24\) −7.35269 + 17.2574i −1.50086 + 3.52265i
\(25\) −1.55751 1.37983i −0.311502 0.275966i
\(26\) 3.73292 9.46015i 0.732087 1.85529i
\(27\) 3.99388 3.53827i 0.768623 0.680941i
\(28\) 5.56579 + 16.6716i 1.05184 + 3.15063i
\(29\) 0.145118 3.60106i 0.0269477 0.668700i −0.928115 0.372295i \(-0.878571\pi\)
0.955062 0.296405i \(-0.0957879\pi\)
\(30\) −5.12371 + 6.27541i −0.935458 + 1.14573i
\(31\) −3.40949 3.84852i −0.612363 0.691215i 0.357764 0.933812i \(-0.383539\pi\)
−0.970127 + 0.242597i \(0.922001\pi\)
\(32\) −32.1985 6.57336i −5.69194 1.16202i
\(33\) 3.02854 0.877228i 0.527202 0.152706i
\(34\) 0.400364 0.151838i 0.0686619 0.0260400i
\(35\) 0.203016 + 5.03779i 0.0343159 + 0.851541i
\(36\) 0.828850 + 0.622840i 0.138142 + 0.103807i
\(37\) −3.51635 + 0.717868i −0.578084 + 0.118017i −0.480166 0.877178i \(-0.659424\pi\)
−0.0979183 + 0.995194i \(0.531218\pi\)
\(38\) −10.4000 + 5.45833i −1.68710 + 0.885459i
\(39\) 4.94180 + 3.50937i 0.791322 + 0.561949i
\(40\) −16.8817 8.86018i −2.66922 1.40092i
\(41\) −4.62982 1.34104i −0.723056 0.209436i −0.103770 0.994601i \(-0.533091\pi\)
−0.619286 + 0.785165i \(0.712578\pi\)
\(42\) −13.9470 + 1.12592i −2.15207 + 0.173733i
\(43\) 0.658342 3.22477i 0.100396 0.491773i −0.898237 0.439511i \(-0.855152\pi\)
0.998633 0.0522622i \(-0.0166432\pi\)
\(44\) 5.19163 + 9.89182i 0.782667 + 1.49125i
\(45\) 0.178668 + 0.237764i 0.0266342 + 0.0354437i
\(46\) 1.65675 2.61994i 0.244274 0.386289i
\(47\) 7.83635 5.40904i 1.14305 0.788990i 0.162781 0.986662i \(-0.447954\pi\)
0.980268 + 0.197673i \(0.0633383\pi\)
\(48\) 14.0981 29.7110i 2.03488 4.28842i
\(49\) −1.18322 + 1.23186i −0.169031 + 0.175980i
\(50\) 4.23292 + 4.06577i 0.598625 + 0.574987i
\(51\) 0.0307600 + 0.253331i 0.00430726 + 0.0354735i
\(52\) −8.68040 + 19.6425i −1.20376 + 2.72392i
\(53\) −0.943119 + 7.76728i −0.129547 + 1.06692i 0.772419 + 0.635113i \(0.219046\pi\)
−0.901967 + 0.431806i \(0.857877\pi\)
\(54\) −11.6581 + 9.51854i −1.58647 + 1.29531i
\(55\) 0.641010 + 3.13987i 0.0864337 + 0.423380i
\(56\) −9.16140 31.6288i −1.22424 4.22658i
\(57\) −1.67520 6.79657i −0.221886 0.900227i
\(58\) −0.817990 + 10.1326i −0.107407 + 1.33048i
\(59\) 0.889991 + 5.47633i 0.115867 + 0.712958i 0.978363 + 0.206895i \(0.0663357\pi\)
−0.862496 + 0.506063i \(0.831100\pi\)
\(60\) 11.3440 12.8048i 1.46451 1.65309i
\(61\) −8.26450 + 6.21037i −1.05816 + 0.795156i −0.979439 0.201740i \(-0.935340\pi\)
−0.0787217 + 0.996897i \(0.525084\pi\)
\(62\) 9.17210 + 11.2338i 1.16486 + 1.42669i
\(63\) −0.0823991 + 0.507022i −0.0103813 + 0.0638788i
\(64\) 52.0117 + 12.8197i 6.50146 + 1.60247i
\(65\) −3.95940 + 4.71939i −0.491103 + 0.585368i
\(66\) −8.63518 + 2.12838i −1.06292 + 0.261986i
\(67\) −1.16823 14.4711i −0.142722 1.76793i −0.531941 0.846781i \(-0.678537\pi\)
0.389219 0.921145i \(-0.372745\pi\)
\(68\) −0.857634 + 0.286320i −0.104003 + 0.0347214i
\(69\) 1.27976 + 1.33237i 0.154065 + 0.160398i
\(70\) 14.2214i 1.69978i
\(71\) −3.77271 + 3.62374i −0.447738 + 0.430058i −0.882375 0.470548i \(-0.844056\pi\)
0.434636 + 0.900606i \(0.356877\pi\)
\(72\) −1.50461 1.22848i −0.177320 0.144777i
\(73\) −0.450298 + 0.857971i −0.0527034 + 0.100418i −0.910383 0.413767i \(-0.864213\pi\)
0.857680 + 0.514184i \(0.171905\pi\)
\(74\) 9.99190 1.62384i 1.16153 0.188768i
\(75\) −2.95643 + 1.86953i −0.341379 + 0.215875i
\(76\) 22.4069 10.6322i 2.57025 1.21960i
\(77\) −3.14417 + 4.55512i −0.358312 + 0.519104i
\(78\) −13.5292 10.4520i −1.53188 1.18345i
\(79\) −0.951562 1.37858i −0.107059 0.155102i 0.765792 0.643088i \(-0.222347\pi\)
−0.872851 + 0.487986i \(0.837732\pi\)
\(80\) 28.9464 + 16.7122i 3.23631 + 1.86848i
\(81\) −3.62137 7.63188i −0.402375 0.847987i
\(82\) 12.8962 + 4.30539i 1.42415 + 0.475451i
\(83\) 2.87759 11.6748i 0.315856 1.28148i −0.571579 0.820547i \(-0.693669\pi\)
0.887435 0.460933i \(-0.152485\pi\)
\(84\) 29.5223 1.18971i 3.22115 0.129808i
\(85\) −0.259158 + 0.0104437i −0.0281097 + 0.00113278i
\(86\) −2.22171 + 9.01382i −0.239573 + 0.971986i
\(87\) −5.74668 1.91853i −0.616109 0.205687i
\(88\) −8.97244 18.9090i −0.956465 2.01571i
\(89\) 4.63954 + 2.67864i 0.491791 + 0.283936i 0.725317 0.688415i \(-0.241693\pi\)
−0.233526 + 0.972350i \(0.575026\pi\)
\(90\) −0.476547 0.690398i −0.0502325 0.0727743i
\(91\) −10.6158 + 0.714534i −1.11283 + 0.0749036i
\(92\) −3.71831 + 5.38691i −0.387661 + 0.561624i
\(93\) −7.80874 + 3.70529i −0.809728 + 0.384221i
\(94\) −22.7000 + 14.3546i −2.34133 + 1.48057i
\(95\) 7.02241 1.14125i 0.720484 0.117090i
\(96\) −25.6730 + 48.9158i −2.62024 + 4.99245i
\(97\) −6.11236 4.99059i −0.620616 0.506717i 0.269172 0.963092i \(-0.413250\pi\)
−0.889788 + 0.456375i \(0.849148\pi\)
\(98\) 3.47465 3.33745i 0.350993 0.337133i
\(99\) 0.326493i 0.0328138i
\(100\) −8.58528 8.93823i −0.858528 0.893823i
\(101\) −2.68789 + 0.897349i −0.267455 + 0.0892896i −0.447233 0.894418i \(-0.647590\pi\)
0.179778 + 0.983707i \(0.442462\pi\)
\(102\) −0.0579205 0.717474i −0.00573498 0.0710405i
\(103\) −5.53449 + 1.36413i −0.545329 + 0.134412i −0.502350 0.864664i \(-0.667531\pi\)
−0.0429794 + 0.999076i \(0.513685\pi\)
\(104\) 17.7314 36.1156i 1.73871 3.54143i
\(105\) 8.22936 + 2.02835i 0.803103 + 0.197947i
\(106\) 3.54024 21.7839i 0.343858 2.11584i
\(107\) 4.90312 + 6.00523i 0.474002 + 0.580547i 0.955161 0.296086i \(-0.0956815\pi\)
−0.481159 + 0.876633i \(0.659784\pi\)
\(108\) 25.4066 19.0918i 2.44475 1.83711i
\(109\) −9.48399 + 10.7052i −0.908401 + 1.02537i 0.0911624 + 0.995836i \(0.470942\pi\)
−0.999564 + 0.0295371i \(0.990597\pi\)
\(110\) −1.44999 8.92212i −0.138251 0.850691i
\(111\) −0.485461 + 6.01352i −0.0460780 + 0.570778i
\(112\) 13.8154 + 56.0515i 1.30544 + 5.29637i
\(113\) 1.55132 + 5.35577i 0.145936 + 0.503828i 0.999863 0.0165642i \(-0.00527281\pi\)
−0.853927 + 0.520393i \(0.825786\pi\)
\(114\) 3.94941 + 19.3455i 0.369896 + 1.81187i
\(115\) −1.45445 + 1.18752i −0.135628 + 0.110737i
\(116\) 2.58740 21.3092i 0.240234 1.97851i
\(117\) −0.491414 + 0.390414i −0.0454312 + 0.0360937i
\(118\) −1.88634 15.5354i −0.173652 1.43015i
\(119\) −0.323076 0.310318i −0.0296163 0.0284468i
\(120\) −22.2018 + 23.1146i −2.02674 + 2.11006i
\(121\) 3.20748 6.75962i 0.291589 0.614511i
\(122\) 23.9977 16.5645i 2.17265 1.49967i
\(123\) −4.33071 + 6.84847i −0.390487 + 0.617506i
\(124\) −18.3969 24.4819i −1.65209 2.19854i
\(125\) −5.62223 10.7123i −0.502867 0.958134i
\(126\) 0.289817 1.41962i 0.0258189 0.126469i
\(127\) 10.1701 0.821011i 0.902446 0.0728530i 0.379474 0.925203i \(-0.376105\pi\)
0.522972 + 0.852350i \(0.324823\pi\)
\(128\) −82.0018 23.7521i −7.24800 2.09941i
\(129\) −4.89907 2.57123i −0.431339 0.226384i
\(130\) 11.6951 12.8513i 1.02572 1.12713i
\(131\) 3.59496 1.88678i 0.314094 0.164849i −0.300308 0.953842i \(-0.597090\pi\)
0.614402 + 0.788993i \(0.289397\pi\)
\(132\) 18.4002 3.75643i 1.60153 0.326956i
\(133\) 9.82345 + 7.38184i 0.851801 + 0.640087i
\(134\) 1.64892 + 40.9176i 0.142445 + 3.53474i
\(135\) 8.52408 3.23276i 0.733636 0.278231i
\(136\) 1.62708 0.471289i 0.139521 0.0404127i
\(137\) −2.76910 0.565316i −0.236580 0.0482982i 0.0802725 0.996773i \(-0.474421\pi\)
−0.316853 + 0.948475i \(0.602626\pi\)
\(138\) −3.45550 3.90045i −0.294152 0.332029i
\(139\) −2.53539 + 3.10528i −0.215049 + 0.263387i −0.870852 0.491545i \(-0.836432\pi\)
0.655804 + 0.754931i \(0.272330\pi\)
\(140\) −1.20918 + 30.0055i −0.102194 + 2.53593i
\(141\) −5.06882 15.1830i −0.426872 1.27864i
\(142\) 11.0445 9.78453i 0.926830 0.821099i
\(143\) −6.58719 + 1.53064i −0.550848 + 0.127999i
\(144\) 2.54893 + 2.25816i 0.212411 + 0.188180i
\(145\) 2.41359 5.66490i 0.200438 0.470444i
\(146\) 1.36655 2.36693i 0.113096 0.195889i
\(147\) 1.43567 + 2.48666i 0.118412 + 0.205096i
\(148\) −21.2198 + 2.57656i −1.74426 + 0.211792i
\(149\) −3.46824 1.64570i −0.284129 0.134821i 0.281295 0.959621i \(-0.409236\pi\)
−0.565424 + 0.824800i \(0.691287\pi\)
\(150\) 8.54464 4.93325i 0.697667 0.402798i
\(151\) 5.65159 + 3.90101i 0.459919 + 0.317459i 0.775398 0.631473i \(-0.217549\pi\)
−0.315478 + 0.948933i \(0.602165\pi\)
\(152\) −42.7475 + 18.2130i −3.46728 + 1.47727i
\(153\) −0.0260827 0.00423885i −0.00210866 0.000342691i
\(154\) 9.37879 12.4809i 0.755764 1.00574i
\(155\) −3.11510 8.21384i −0.250211 0.659752i
\(156\) 27.6565 + 23.2028i 2.21429 + 1.85771i
\(157\) 0.164067 0.432608i 0.0130939 0.0345259i −0.928310 0.371807i \(-0.878738\pi\)
0.941404 + 0.337281i \(0.109507\pi\)
\(158\) 2.52528 + 3.99341i 0.200900 + 0.317699i
\(159\) 12.1006 + 5.15557i 0.959638 + 0.408863i
\(160\) −47.4556 30.0091i −3.75169 2.37243i
\(161\) −3.21936 0.390901i −0.253721 0.0308073i
\(162\) 9.33956 + 21.9208i 0.733785 + 1.72226i
\(163\) −5.82159 + 17.4378i −0.455982 + 1.36583i 0.430300 + 0.902686i \(0.358408\pi\)
−0.886282 + 0.463146i \(0.846720\pi\)
\(164\) −26.8435 10.1804i −2.09613 0.794956i
\(165\) 5.36968 + 0.433486i 0.418029 + 0.0337468i
\(166\) −9.43609 + 32.5772i −0.732383 + 2.52848i
\(167\) 8.42661 + 0.339581i 0.652071 + 0.0262776i 0.364098 0.931361i \(-0.381377\pi\)
0.287973 + 0.957638i \(0.407018\pi\)
\(168\) −55.3552 −4.27074
\(169\) −10.1806 8.08424i −0.783125 0.621865i
\(170\) 0.731589 0.0561103
\(171\) 0.724253 + 0.0291864i 0.0553850 + 0.00223194i
\(172\) 5.45396 18.8293i 0.415861 1.43572i
\(173\) 7.56191 + 0.610460i 0.574921 + 0.0464124i 0.364508 0.931200i \(-0.381237\pi\)
0.210413 + 0.977613i \(0.432519\pi\)
\(174\) 15.9784 + 6.05980i 1.21132 + 0.459392i
\(175\) 1.94445 5.82435i 0.146987 0.440279i
\(176\) 14.3823 + 33.7566i 1.08411 + 2.54450i
\(177\) 9.25877 + 1.12422i 0.695932 + 0.0845014i
\(178\) −12.7717 8.07634i −0.957280 0.605347i
\(179\) 11.4099 + 4.86130i 0.852816 + 0.363351i 0.773729 0.633517i \(-0.218389\pi\)
0.0790871 + 0.996868i \(0.474799\pi\)
\(180\) 0.946760 + 1.49718i 0.0705673 + 0.111593i
\(181\) −3.26245 + 8.60237i −0.242496 + 0.639409i −0.999909 0.0135273i \(-0.995694\pi\)
0.757413 + 0.652937i \(0.226463\pi\)
\(182\) 30.0003 0.808122i 2.22377 0.0599020i
\(183\) 6.16247 + 16.2491i 0.455543 + 1.20117i
\(184\) 7.36701 9.80372i 0.543104 0.722740i
\(185\) −6.05242 0.983614i −0.444983 0.0723167i
\(186\) 22.4287 9.55599i 1.64455 0.700679i
\(187\) −0.234328 0.161745i −0.0171358 0.0118280i
\(188\) 49.1151 28.3566i 3.58208 2.06812i
\(189\) 14.2253 + 6.75000i 1.03474 + 0.490991i
\(190\) −19.9214 + 2.41889i −1.44525 + 0.175485i
\(191\) −5.58684 9.67670i −0.404250 0.700181i 0.589984 0.807415i \(-0.299134\pi\)
−0.994234 + 0.107234i \(0.965801\pi\)
\(192\) 45.0255 77.9864i 3.24943 5.62818i
\(193\) 9.97810 23.4195i 0.718239 1.68577i −0.00953651 0.999955i \(-0.503036\pi\)
0.727776 0.685815i \(-0.240554\pi\)
\(194\) 16.6601 + 14.7595i 1.19612 + 1.05967i
\(195\) 5.76850 + 8.60040i 0.413091 + 0.615888i
\(196\) −7.61490 + 6.74621i −0.543921 + 0.481872i
\(197\) −1.92376 5.76238i −0.137063 0.410552i 0.857527 0.514440i \(-0.172000\pi\)
−0.994589 + 0.103887i \(0.966872\pi\)
\(198\) 0.0370819 0.920179i 0.00263530 0.0653942i
\(199\) −1.15291 + 1.41206i −0.0817279 + 0.100098i −0.813850 0.581075i \(-0.802632\pi\)
0.732122 + 0.681173i \(0.238530\pi\)
\(200\) 15.3972 + 17.3799i 1.08875 + 1.22894i
\(201\) −23.9126 4.88178i −1.68666 0.344334i
\(202\) 7.67738 2.22378i 0.540178 0.156465i
\(203\) 9.94404 3.77128i 0.697935 0.264692i
\(204\) 0.0612021 + 1.51871i 0.00428500 + 0.106331i
\(205\) −6.58381 4.94741i −0.459833 0.345542i
\(206\) 15.7532 3.21603i 1.09757 0.224071i
\(207\) −0.169387 + 0.0889012i −0.0117732 + 0.00617906i
\(208\) −33.6098 + 62.0126i −2.33042 + 4.29980i
\(209\) 6.91561 + 3.62959i 0.478363 + 0.251064i
\(210\) −22.9630 6.65131i −1.58460 0.458984i
\(211\) −15.0880 + 1.21803i −1.03870 + 0.0838526i −0.588031 0.808838i \(-0.700097\pi\)
−0.450669 + 0.892691i \(0.648815\pi\)
\(212\) −9.32169 + 45.6607i −0.640216 + 3.13599i
\(213\) 4.08668 + 7.78652i 0.280015 + 0.533524i
\(214\) −13.1367 17.4818i −0.898009 1.19503i
\(215\) 3.00550 4.75282i 0.204974 0.324140i
\(216\) −49.0011 + 33.8230i −3.33410 + 2.30136i
\(217\) 6.50433 13.7076i 0.441543 0.930532i
\(218\) 27.9452 29.0941i 1.89269 1.97050i
\(219\) 1.17474 + 1.12836i 0.0793818 + 0.0762473i
\(220\) 2.30070 + 18.9480i 0.155113 + 1.27747i
\(221\) −0.0367577 0.546105i −0.00247259 0.0367350i
\(222\) 2.05120 16.8932i 0.137668 1.13380i
\(223\) 3.14625 2.56883i 0.210688 0.172022i −0.521225 0.853419i \(-0.674525\pi\)
0.731914 + 0.681397i \(0.238627\pi\)
\(224\) −19.3976 95.0158i −1.29606 6.34851i
\(225\) −0.100773 0.347908i −0.00671819 0.0231939i
\(226\) −3.76389 15.2707i −0.250370 1.01579i
\(227\) −1.94853 + 24.1369i −0.129328 + 1.60202i 0.528554 + 0.848900i \(0.322735\pi\)
−0.657882 + 0.753121i \(0.728548\pi\)
\(228\) −6.68795 41.1526i −0.442920 2.72540i
\(229\) 4.94193 5.57828i 0.326572 0.368623i −0.562178 0.827016i \(-0.690036\pi\)
0.888750 + 0.458393i \(0.151575\pi\)
\(230\) 4.23404 3.18168i 0.279184 0.209793i
\(231\) 5.88453 + 7.20724i 0.387174 + 0.474202i
\(232\) −6.45111 + 39.6953i −0.423536 + 2.60612i
\(233\) −13.2946 3.27682i −0.870957 0.214672i −0.221584 0.975141i \(-0.571123\pi\)
−0.649373 + 0.760470i \(0.724969\pi\)
\(234\) 1.42933 1.04452i 0.0934380 0.0682821i
\(235\) 15.7960 3.89336i 1.03042 0.253975i
\(236\) 2.65906 + 32.9383i 0.173090 + 2.14410i
\(237\) −2.67100 + 0.891711i −0.173500 + 0.0579229i
\(238\) 0.875301 + 0.911285i 0.0567373 + 0.0590698i
\(239\) 26.2250i 1.69635i −0.529714 0.848177i \(-0.677701\pi\)
0.529714 0.848177i \(-0.322299\pi\)
\(240\) 40.5230 38.9229i 2.61575 2.51246i
\(241\) −3.13218 2.55734i −0.201761 0.164733i 0.526178 0.850374i \(-0.323624\pi\)
−0.727940 + 0.685641i \(0.759522\pi\)
\(242\) −9.80759 + 18.6868i −0.630456 + 1.20123i
\(243\) 1.78328 0.289810i 0.114397 0.0185914i
\(244\) −52.0410 + 32.9087i −3.33158 + 2.10676i
\(245\) −2.63657 + 1.25107i −0.168445 + 0.0799279i
\(246\) 12.9834 18.8096i 0.827788 1.19926i
\(247\) 2.80654 + 14.7490i 0.178576 + 0.938459i
\(248\) 32.5920 + 47.2176i 2.06959 + 2.99832i
\(249\) −17.5053 10.1067i −1.10935 0.640485i
\(250\) 14.6288 + 30.8296i 0.925209 + 1.94984i
\(251\) −26.8377 8.95974i −1.69398 0.565534i −0.704437 0.709767i \(-0.748800\pi\)
−0.989544 + 0.144233i \(0.953928\pi\)
\(252\) −0.732185 + 2.97059i −0.0461233 + 0.187130i
\(253\) −2.05959 + 0.0829988i −0.129486 + 0.00521809i
\(254\) −28.7562 + 1.15883i −1.80432 + 0.0727118i
\(255\) −0.104344 + 0.423342i −0.00653430 + 0.0265107i
\(256\) 126.791 + 42.3289i 7.92441 + 2.64556i
\(257\) −0.409954 0.863960i −0.0255722 0.0538923i 0.890262 0.455448i \(-0.150521\pi\)
−0.915835 + 0.401556i \(0.868470\pi\)
\(258\) 13.5153 + 7.80309i 0.841429 + 0.485799i
\(259\) −6.01613 8.71587i −0.373824 0.541578i
\(260\) −25.7679 + 26.1204i −1.59806 + 1.61992i
\(261\) 0.356375 0.516299i 0.0220591 0.0319581i
\(262\) −10.3462 + 4.90935i −0.639192 + 0.303300i
\(263\) −3.31086 + 2.09366i −0.204156 + 0.129101i −0.632632 0.774453i \(-0.718025\pi\)
0.428475 + 0.903553i \(0.359051\pi\)
\(264\) −34.7284 + 5.64391i −2.13738 + 0.347359i
\(265\) −6.21259 + 11.8371i −0.381636 + 0.727147i
\(266\) −26.8477 21.9205i −1.64614 1.34403i
\(267\) 6.49505 6.23858i 0.397491 0.381795i
\(268\) 86.4717i 5.28210i
\(269\) −1.45975 1.51976i −0.0890024 0.0926614i 0.675212 0.737624i \(-0.264052\pi\)
−0.764214 + 0.644963i \(0.776873\pi\)
\(270\) −24.3912 + 8.14297i −1.48440 + 0.495565i
\(271\) −0.0270782 0.335423i −0.00164488 0.0203755i 0.995883 0.0906501i \(-0.0288945\pi\)
−0.997528 + 0.0702746i \(0.977612\pi\)
\(272\) −2.88345 + 0.710706i −0.174835 + 0.0430929i
\(273\) −3.81122 + 17.4752i −0.230665 + 1.05765i
\(274\) 7.74013 + 1.90777i 0.467598 + 0.115253i
\(275\) 0.626059 3.85229i 0.0377527 0.232302i
\(276\) 6.95908 + 8.52333i 0.418887 + 0.513044i
\(277\) −11.7199 + 8.80696i −0.704183 + 0.529159i −0.891433 0.453153i \(-0.850299\pi\)
0.187250 + 0.982312i \(0.440043\pi\)
\(278\) 7.49834 8.46387i 0.449720 0.507629i
\(279\) −0.143568 0.883410i −0.00859519 0.0528884i
\(280\) 4.52714 56.0787i 0.270549 3.35135i
\(281\) −4.44158 18.0202i −0.264962 1.07499i −0.941076 0.338196i \(-0.890183\pi\)
0.676113 0.736798i \(-0.263663\pi\)
\(282\) 12.5614 + 43.3669i 0.748019 + 2.58246i
\(283\) −4.26357 20.8844i −0.253443 1.24145i −0.884806 0.465959i \(-0.845710\pi\)
0.631363 0.775487i \(-0.282496\pi\)
\(284\) −24.1345 + 19.7052i −1.43212 + 1.16929i
\(285\) 1.44161 11.8727i 0.0853934 0.703278i
\(286\) 18.7390 3.56576i 1.10806 0.210848i
\(287\) −1.71450 14.1202i −0.101204 0.833490i
\(288\) −4.12559 3.96268i −0.243103 0.233503i
\(289\) −11.7604 + 12.2438i −0.691785 + 0.720225i
\(290\) −7.44577 + 15.6916i −0.437231 + 0.921445i
\(291\) −10.9169 + 7.53541i −0.639962 + 0.441734i
\(292\) −3.08452 + 4.87777i −0.180508 + 0.285450i
\(293\) 18.4958 + 24.6134i 1.08054 + 1.43793i 0.889835 + 0.456283i \(0.150819\pi\)
0.190700 + 0.981648i \(0.438924\pi\)
\(294\) −3.76382 7.17137i −0.219511 0.418243i
\(295\) −1.89613 + 9.28785i −0.110397 + 0.540759i
\(296\) 39.9176 3.22249i 2.32017 0.187303i
\(297\) 9.61281 + 2.78438i 0.557792 + 0.161566i
\(298\) 9.58786 + 5.03209i 0.555410 + 0.291501i
\(299\) −2.58774 3.00070i −0.149653 0.173535i
\(300\) −18.4477 + 9.68209i −1.06508 + 0.558996i
\(301\) 9.51612 1.94273i 0.548500 0.111977i
\(302\) −15.4852 11.6364i −0.891072 0.669597i
\(303\) 0.191812 + 4.75977i 0.0110193 + 0.273441i
\(304\) 76.1672 28.8864i 4.36849 1.65675i
\(305\) −16.9655 + 4.91411i −0.971440 + 0.281381i
\(306\) 0.0730292 + 0.0149090i 0.00417480 + 0.000852292i
\(307\) −3.84631 4.34159i −0.219520 0.247787i 0.628426 0.777869i \(-0.283700\pi\)
−0.847946 + 0.530082i \(0.822161\pi\)
\(308\) −20.8494 + 25.5359i −1.18800 + 1.45504i
\(309\) −0.385836 + 9.57442i −0.0219494 + 0.544670i
\(310\) 7.84660 + 23.5034i 0.445657 + 1.33490i
\(311\) −5.13393 + 4.54826i −0.291118 + 0.257908i −0.796022 0.605267i \(-0.793066\pi\)
0.504904 + 0.863175i \(0.331528\pi\)
\(312\) −50.0222 45.5217i −2.83195 2.57716i
\(313\) 19.6958 + 17.4489i 1.11327 + 0.986271i 0.999973 0.00729028i \(-0.00232059\pi\)
0.113296 + 0.993561i \(0.463859\pi\)
\(314\) −0.511534 + 1.20062i −0.0288676 + 0.0677546i
\(315\) −0.438823 + 0.760063i −0.0247249 + 0.0428247i
\(316\) −4.98851 8.64036i −0.280626 0.486058i
\(317\) −18.3180 + 2.22421i −1.02884 + 0.124924i −0.617512 0.786562i \(-0.711859\pi\)
−0.411332 + 0.911486i \(0.634936\pi\)
\(318\) −33.5183 15.9046i −1.87961 0.891888i
\(319\) 5.85411 3.37987i 0.327767 0.189237i
\(320\) 75.3234 + 51.9920i 4.21071 + 2.90644i
\(321\) 11.9897 5.10833i 0.669199 0.285119i
\(322\) 9.02894 + 1.46735i 0.503163 + 0.0817719i
\(323\) −0.379743 + 0.505347i −0.0211295 + 0.0281182i
\(324\) −17.8416 47.0444i −0.991200 2.61358i
\(325\) 6.54681 3.66419i 0.363152 0.203253i
\(326\) 18.3879 48.4849i 1.01841 2.68533i
\(327\) 12.8498 + 20.3204i 0.710598 + 1.12372i
\(328\) 49.4827 + 21.0826i 2.73223 + 1.16409i
\(329\) 23.7486 + 15.0177i 1.30930 + 0.827952i
\(330\) −15.0845 1.83159i −0.830375 0.100826i
\(331\) 8.54018 + 20.0445i 0.469411 + 1.10175i 0.971523 + 0.236945i \(0.0761461\pi\)
−0.502112 + 0.864802i \(0.667444\pi\)
\(332\) 22.6790 67.9318i 1.24467 3.72824i
\(333\) −0.584124 0.221529i −0.0320098 0.0121397i
\(334\) −23.7107 1.91413i −1.29739 0.104736i
\(335\) 6.90125 23.8259i 0.377056 1.30175i
\(336\) 96.9666 + 3.90762i 5.28996 + 0.213178i
\(337\) 15.9897 0.871014 0.435507 0.900185i \(-0.356569\pi\)
0.435507 + 0.900185i \(0.356569\pi\)
\(338\) 27.7746 + 23.9406i 1.51074 + 1.30220i
\(339\) 9.37339 0.509093
\(340\) −1.54357 0.0622038i −0.0837119 0.00337347i
\(341\) 2.68304 9.26294i 0.145295 0.501617i
\(342\) −2.03790 0.164516i −0.110197 0.00889601i
\(343\) 14.6014 + 5.53758i 0.788401 + 0.299001i
\(344\) −11.6302 + 34.8367i −0.627058 + 1.87827i
\(345\) 1.23722 + 2.90387i 0.0666098 + 0.156339i
\(346\) −21.2429 2.57936i −1.14203 0.138667i
\(347\) −25.4819 16.1138i −1.36794 0.865032i −0.369989 0.929036i \(-0.620638\pi\)
−0.997950 + 0.0640044i \(0.979613\pi\)
\(348\) −33.1973 14.1441i −1.77956 0.758201i
\(349\) −4.79331 7.58001i −0.256580 0.405749i 0.692191 0.721715i \(-0.256646\pi\)
−0.948770 + 0.315966i \(0.897671\pi\)
\(350\) −6.14169 + 16.1943i −0.328287 + 0.865622i
\(351\) 7.30393 + 17.7980i 0.389855 + 0.949987i
\(352\) −21.8572 57.6326i −1.16499 3.07183i
\(353\) −9.32455 + 12.4087i −0.496296 + 0.660450i −0.976200 0.216871i \(-0.930415\pi\)
0.479905 + 0.877321i \(0.340671\pi\)
\(354\) −25.9669 4.22004i −1.38013 0.224292i
\(355\) −8.22253 + 3.50329i −0.436406 + 0.185935i
\(356\) 26.2602 + 18.1261i 1.39179 + 0.960681i
\(357\) −0.652166 + 0.376528i −0.0345163 + 0.0199280i
\(358\) −31.6052 14.9968i −1.67038 0.792608i
\(359\) 12.5590 1.52494i 0.662841 0.0804834i 0.217799 0.975994i \(-0.430112\pi\)
0.445041 + 0.895510i \(0.353189\pi\)
\(360\) −1.65938 2.87412i −0.0874568 0.151480i
\(361\) −0.830349 + 1.43821i −0.0437026 + 0.0756951i
\(362\) 10.1718 23.8741i 0.534618 1.25480i
\(363\) −9.41449 8.34051i −0.494132 0.437763i
\(364\) −63.3659 0.845743i −3.32127 0.0443290i
\(365\) −1.23918 + 1.09782i −0.0648617 + 0.0574624i
\(366\) −15.5226 46.4958i −0.811378 2.43037i
\(367\) −0.172026 + 4.26878i −0.00897969 + 0.222829i 0.988468 + 0.151429i \(0.0483876\pi\)
−0.997448 + 0.0713995i \(0.977253\pi\)
\(368\) −13.5970 + 16.6533i −0.708792 + 0.868112i
\(369\) −0.556390 0.628034i −0.0289645 0.0326942i
\(370\) 16.9462 + 3.45960i 0.880993 + 0.179856i
\(371\) −22.1776 + 6.42381i −1.15140 + 0.333507i
\(372\) −48.1346 + 18.2550i −2.49566 + 0.946480i
\(373\) −1.10448 27.4074i −0.0571878 1.41910i −0.732097 0.681200i \(-0.761458\pi\)
0.674909 0.737901i \(-0.264183\pi\)
\(374\) 0.642053 + 0.482472i 0.0331998 + 0.0249480i
\(375\) −19.9264 + 4.06800i −1.02899 + 0.210070i
\(376\) −94.0819 + 49.3780i −4.85190 + 2.54648i
\(377\) 12.0873 + 4.76960i 0.622530 + 0.245647i
\(378\) −39.3256 20.6397i −2.02269 1.06159i
\(379\) 22.5409 + 6.52905i 1.15785 + 0.335375i 0.800929 0.598760i \(-0.204340\pi\)
0.356920 + 0.934135i \(0.383827\pi\)
\(380\) 42.2375 3.40976i 2.16674 0.174917i
\(381\) 3.43084 16.8054i 0.175767 0.860964i
\(382\) 14.6467 + 27.9070i 0.749392 + 1.42785i
\(383\) 4.67963 + 6.22745i 0.239118 + 0.318208i 0.903009 0.429621i \(-0.141353\pi\)
−0.663892 + 0.747829i \(0.731096\pi\)
\(384\) −76.7040 + 121.298i −3.91429 + 6.18995i
\(385\) −7.78271 + 5.37202i −0.396644 + 0.273783i
\(386\) −30.7818 + 64.8714i −1.56675 + 3.30187i
\(387\) 0.396875 0.413190i 0.0201743 0.0210036i
\(388\) −33.8959 32.5575i −1.72080 1.65286i
\(389\) 1.98265 + 16.3286i 0.100524 + 0.827893i 0.952548 + 0.304389i \(0.0984523\pi\)
−0.852023 + 0.523504i \(0.824625\pi\)
\(390\) −15.2809 24.8943i −0.773781 1.26057i
\(391\) 0.0201091 0.165613i 0.00101696 0.00837541i
\(392\) 14.7639 12.0544i 0.745690 0.608837i
\(393\) −1.36519 6.68716i −0.0688649 0.337322i
\(394\) 4.76741 + 16.4590i 0.240178 + 0.829192i
\(395\) −0.684923 2.77884i −0.0344622 0.139819i
\(396\) −0.156477 + 1.93832i −0.00786329 + 0.0974043i
\(397\) 4.24193 + 26.1016i 0.212896 + 1.31000i 0.844853 + 0.534999i \(0.179688\pi\)
−0.631957 + 0.775004i \(0.717748\pi\)
\(398\) 3.40971 3.84877i 0.170913 0.192921i
\(399\) 16.5137 12.4092i 0.826719 0.621239i
\(400\) −25.7447 31.5316i −1.28724 1.57658i
\(401\) 0.596776 3.67211i 0.0298016 0.183377i −0.967882 0.251406i \(-0.919107\pi\)
0.997683 + 0.0680295i \(0.0216712\pi\)
\(402\) 66.8399 + 16.4746i 3.33367 + 0.821676i
\(403\) 17.1502 7.03810i 0.854313 0.350593i
\(404\) −16.3875 + 4.03915i −0.815308 + 0.200955i
\(405\) −1.16138 14.3863i −0.0577094 0.714859i
\(406\) −28.4543 + 9.49943i −1.41216 + 0.471449i
\(407\) −4.66301 4.85471i −0.231137 0.240639i
\(408\) 2.84763i 0.140979i
\(409\) −16.7510 + 16.0896i −0.828284 + 0.795578i −0.981267 0.192651i \(-0.938292\pi\)
0.152983 + 0.988229i \(0.451112\pi\)
\(410\) 17.9937 + 14.6914i 0.888644 + 0.725556i
\(411\) −2.20790 + 4.20681i −0.108908 + 0.207507i
\(412\) −33.5108 + 5.44604i −1.65096 + 0.268307i
\(413\) −13.8378 + 8.75047i −0.680912 + 0.430583i
\(414\) 0.487492 0.231318i 0.0239589 0.0113687i
\(415\) 11.6704 16.9075i 0.572879 0.829958i
\(416\) 60.6081 101.814i 2.97155 4.99182i
\(417\) 3.82824 + 5.54617i 0.187470 + 0.271597i
\(418\) −19.0785 11.0150i −0.933159 0.538760i
\(419\) −1.81090 3.81640i −0.0884685 0.186443i 0.854394 0.519626i \(-0.173929\pi\)
−0.942862 + 0.333183i \(0.891877\pi\)
\(420\) 47.8838 + 15.9860i 2.33649 + 0.780035i
\(421\) 4.75317 19.2844i 0.231655 0.939862i −0.733815 0.679349i \(-0.762262\pi\)
0.965470 0.260513i \(-0.0838917\pi\)
\(422\) 42.6619 1.71921i 2.07675 0.0836900i
\(423\) 1.65614 0.0667401i 0.0805243 0.00324502i
\(424\) 20.8947 84.7729i 1.01473 4.11694i
\(425\) 0.299621 + 0.100028i 0.0145338 + 0.00485208i
\(426\) −10.6334 22.4094i −0.515190 1.08574i
\(427\) −26.4193 15.2532i −1.27852 0.738152i
\(428\) 26.2306 + 38.0016i 1.26791 + 1.83688i
\(429\) −0.609316 + 11.3521i −0.0294181 + 0.548083i
\(430\) −9.01042 + 13.0538i −0.434521 + 0.629512i
\(431\) 17.1860 8.15487i 0.827822 0.392806i 0.0328558 0.999460i \(-0.489540\pi\)
0.794966 + 0.606654i \(0.207489\pi\)
\(432\) 88.2236 55.7892i 4.24466 2.68416i
\(433\) 30.8839 5.01912i 1.48419 0.241204i 0.636325 0.771421i \(-0.280454\pi\)
0.847862 + 0.530218i \(0.177890\pi\)
\(434\) −19.8885 + 37.8943i −0.954677 + 1.81898i
\(435\) −8.01816 6.54663i −0.384441 0.313887i
\(436\) −61.4350 + 59.0091i −2.94220 + 2.82603i
\(437\) 4.57617i 0.218908i
\(438\) −3.18271 3.31355i −0.152076 0.158327i
\(439\) 24.8936 8.31069i 1.18811 0.396648i 0.347180 0.937799i \(-0.387139\pi\)
0.840925 + 0.541151i \(0.182011\pi\)
\(440\) −2.87747 35.6439i −0.137178 1.69926i
\(441\) −0.288685 + 0.0711545i −0.0137469 + 0.00338831i
\(442\) 0.0415721 + 1.54330i 0.00197738 + 0.0734073i
\(443\) −32.8361 8.09338i −1.56009 0.384528i −0.637545 0.770413i \(-0.720050\pi\)
−0.922547 + 0.385885i \(0.873896\pi\)
\(444\) −5.76416 + 35.4683i −0.273555 + 1.68325i
\(445\) 5.78894 + 7.09016i 0.274422 + 0.336106i
\(446\) −9.15903 + 6.88257i −0.433693 + 0.325899i
\(447\) −4.27936 + 4.83040i −0.202407 + 0.228470i
\(448\) 25.3573 + 156.030i 1.19802 + 7.37172i
\(449\) −0.220233 + 2.72807i −0.0103934 + 0.128746i −0.999873 0.0159257i \(-0.994930\pi\)
0.989480 + 0.144671i \(0.0462125\pi\)
\(450\) 0.244501 + 0.991979i 0.0115259 + 0.0467624i
\(451\) −2.51530 8.68384i −0.118441 0.408906i
\(452\) 6.64299 + 32.5395i 0.312460 + 1.53053i
\(453\) 8.94211 7.30100i 0.420137 0.343031i
\(454\) 8.23305 67.8053i 0.386396 3.18226i
\(455\) −17.3920 5.29022i −0.815347 0.248009i
\(456\) 9.41526 + 77.5417i 0.440910 + 3.63122i
\(457\) 22.3989 + 21.5144i 1.04778 + 1.00640i 0.999972 + 0.00754546i \(0.00240182\pi\)
0.0478041 + 0.998857i \(0.484778\pi\)
\(458\) −14.5617 + 15.1604i −0.680425 + 0.708398i
\(459\) −0.347240 + 0.731792i −0.0162078 + 0.0341571i
\(460\) −9.20387 + 6.35298i −0.429133 + 0.296209i
\(461\) 12.0054 18.9850i 0.559146 0.884218i −0.440765 0.897623i \(-0.645293\pi\)
0.999910 + 0.0134047i \(0.00426698\pi\)
\(462\) −15.7662 20.9810i −0.733510 0.976125i
\(463\) −0.244576 0.466002i −0.0113664 0.0216569i 0.879707 0.475517i \(-0.157739\pi\)
−0.891073 + 0.453860i \(0.850047\pi\)
\(464\) 14.1027 69.0795i 0.654700 3.20693i
\(465\) −14.7196 + 1.18829i −0.682607 + 0.0551057i
\(466\) 37.0969 + 10.7452i 1.71848 + 0.497763i
\(467\) −9.65797 5.06890i −0.446918 0.234561i 0.226222 0.974076i \(-0.427362\pi\)
−0.673140 + 0.739515i \(0.735055\pi\)
\(468\) −3.10453 + 2.08228i −0.143507 + 0.0962535i
\(469\) 37.9350 19.9098i 1.75168 0.919350i
\(470\) −44.9611 + 9.17887i −2.07390 + 0.423390i
\(471\) −0.621790 0.467245i −0.0286506 0.0215295i
\(472\) −2.49290 61.8607i −0.114745 2.84737i
\(473\) 5.77208 2.18906i 0.265401 0.100653i
\(474\) 7.62914 2.20981i 0.350418 0.101500i
\(475\) −8.48949 1.73314i −0.389524 0.0795220i
\(476\) −1.76930 1.99713i −0.0810959 0.0915384i
\(477\) −0.861385 + 1.05500i −0.0394401 + 0.0483053i
\(478\) −2.97854 + 73.9116i −0.136235 + 3.38064i
\(479\) 2.94693 + 8.82713i 0.134649 + 0.403322i 0.994176 0.107768i \(-0.0343702\pi\)
−0.859527 + 0.511090i \(0.829242\pi\)
\(480\) −70.6499 + 62.5904i −3.22471 + 2.85685i
\(481\) 1.73103 12.8236i 0.0789280 0.584705i
\(482\) 8.53717 + 7.56327i 0.388857 + 0.344498i
\(483\) −2.13686 + 5.01541i −0.0972307 + 0.228209i
\(484\) 22.2818 38.5932i 1.01281 1.75423i
\(485\) −6.74108 11.6759i −0.306097 0.530175i
\(486\) −5.05884 + 0.614255i −0.229474 + 0.0278632i
\(487\) 21.8525 + 10.3691i 0.990232 + 0.469871i 0.853700 0.520765i \(-0.174353\pi\)
0.136532 + 0.990636i \(0.456404\pi\)
\(488\) 99.9026 57.6788i 4.52238 2.61100i
\(489\) 25.4337 + 17.5556i 1.15015 + 0.793891i
\(490\) 7.57293 3.22652i 0.342110 0.145759i
\(491\) −9.36729 1.52233i −0.422740 0.0687019i −0.0546797 0.998504i \(-0.517414\pi\)
−0.368060 + 0.929802i \(0.619978\pi\)
\(492\) −28.9927 + 38.5823i −1.30709 + 1.73942i
\(493\) 0.194005 + 0.511550i 0.00873756 + 0.0230391i
\(494\) −6.23471 41.8870i −0.280513 1.88458i
\(495\) −0.197811 + 0.521585i −0.00889094 + 0.0234435i
\(496\) −53.7587 85.0126i −2.41384 3.81718i
\(497\) −14.2015 6.05070i −0.637026 0.271411i
\(498\) 48.1884 + 30.4725i 2.15937 + 1.36551i
\(499\) −34.3345 4.16896i −1.53702 0.186628i −0.692212 0.721695i \(-0.743364\pi\)
−0.844810 + 0.535066i \(0.820287\pi\)
\(500\) −28.2439 66.2909i −1.26311 2.96462i
\(501\) 4.48942 13.4475i 0.200573 0.600788i
\(502\) 74.6209 + 28.3000i 3.33049 + 1.26309i
\(503\) −7.52904 0.607807i −0.335703 0.0271008i −0.0885343 0.996073i \(-0.528218\pi\)
−0.247169 + 0.968972i \(0.579500\pi\)
\(504\) 1.59474 5.50567i 0.0710352 0.245242i
\(505\) −4.83767 0.194951i −0.215273 0.00867522i
\(506\) 5.81412 0.258469
\(507\) −17.8149 + 12.6575i −0.791188 + 0.562137i
\(508\) 60.7709 2.69627
\(509\) 35.7484 + 1.44061i 1.58452 + 0.0638540i 0.816797 0.576926i \(-0.195748\pi\)
0.767725 + 0.640780i \(0.221389\pi\)
\(510\) 0.342162 1.18128i 0.0151512 0.0523080i
\(511\) −2.85007 0.230082i −0.126080 0.0101782i
\(512\) −192.886 73.1519i −8.52442 3.23289i
\(513\) 7.03586 21.0750i 0.310641 0.930483i
\(514\) 1.05728 + 2.48152i 0.0466344 + 0.109455i
\(515\) −9.66802 1.17391i −0.426024 0.0517286i
\(516\) −27.8524 17.6128i −1.22613 0.775360i
\(517\) 16.4304 + 7.00034i 0.722608 + 0.307875i
\(518\) 15.9658 + 25.2478i 0.701495 + 1.10933i
\(519\) 4.52238 11.9245i 0.198511 0.523429i
\(520\) 50.2077 46.9531i 2.20175 2.05903i
\(521\) 7.06975 + 18.6414i 0.309731 + 0.816695i 0.996001 + 0.0893470i \(0.0284780\pi\)
−0.686269 + 0.727348i \(0.740753\pi\)
\(522\) −1.06304 + 1.41464i −0.0465278 + 0.0619173i
\(523\) −1.62919 0.264770i −0.0712397 0.0115776i 0.124687 0.992196i \(-0.460207\pi\)
−0.195927 + 0.980619i \(0.562771\pi\)
\(524\) 22.2468 9.47847i 0.971856 0.414069i
\(525\) −8.49504 5.86370i −0.370754 0.255913i
\(526\) 9.56900 5.52467i 0.417228 0.240887i
\(527\) 0.705158 + 0.334602i 0.0307172 + 0.0145755i
\(528\) 61.2326 7.43499i 2.66481 0.323566i
\(529\) 10.8961 + 18.8727i 0.473745 + 0.820550i
\(530\) 18.8538 32.6557i 0.818956 1.41847i
\(531\) −0.378553 + 0.888496i −0.0164278 + 0.0385575i
\(532\) 54.7818 + 48.5324i 2.37509 + 2.10415i
\(533\) 10.0625 14.1698i 0.435856 0.613761i
\(534\) −19.0140 + 16.8449i −0.822816 + 0.728951i
\(535\) 4.19454 + 12.5642i 0.181346 + 0.543197i
\(536\) −6.52329 + 161.874i −0.281763 + 6.99188i
\(537\) 13.1858 16.1497i 0.569010 0.696911i
\(538\) 3.94150 + 4.44903i 0.169930 + 0.191811i
\(539\) −3.13896 0.640823i −0.135204 0.0276022i
\(540\) 52.1550 15.1069i 2.24439 0.650096i
\(541\) −28.4879 + 10.8040i −1.22479 + 0.464502i −0.880359 0.474309i \(-0.842698\pi\)
−0.344433 + 0.938811i \(0.611929\pi\)
\(542\) 0.0382201 + 0.948421i 0.00164169 + 0.0407382i
\(543\) 12.3642 + 9.29112i 0.530600 + 0.398720i
\(544\) 4.88789 0.997870i 0.209567 0.0427833i
\(545\) −21.6369 + 11.3559i −0.926824 + 0.486435i
\(546\) 12.7262 48.8187i 0.544631 2.08925i
\(547\) −15.9153 8.35301i −0.680491 0.357149i 0.0887987 0.996050i \(-0.471697\pi\)
−0.769289 + 0.638901i \(0.779390\pi\)
\(548\) −16.1686 4.68329i −0.690688 0.200060i
\(549\) −1.79368 + 0.144801i −0.0765525 + 0.00617996i
\(550\) −2.20199 + 10.7861i −0.0938933 + 0.459920i
\(551\) −6.97418 13.2882i −0.297110 0.566096i
\(552\) −12.3843 16.4805i −0.527112 0.701458i
\(553\) 2.64192 4.17787i 0.112346 0.177661i
\(554\) 34.0313 23.4901i 1.44585 0.998000i
\(555\) −4.41892 + 9.31268i −0.187573 + 0.395301i
\(556\) −16.5403 + 17.2203i −0.701465 + 0.730302i
\(557\) 14.4951 + 13.9227i 0.614177 + 0.589925i 0.933877 0.357594i \(-0.116403\pi\)
−0.319700 + 0.947519i \(0.603582\pi\)
\(558\) 0.304293 + 2.50608i 0.0128818 + 0.106091i
\(559\) 10.1969 + 6.07008i 0.431285 + 0.256737i
\(560\) −11.8890 + 97.9145i −0.502401 + 4.13764i
\(561\) −0.370762 + 0.302717i −0.0156536 + 0.0127807i
\(562\) 10.4713 + 51.2919i 0.441706 + 2.16362i
\(563\) 3.89397 + 13.4435i 0.164111 + 0.566578i 0.999848 + 0.0174472i \(0.00555390\pi\)
−0.835737 + 0.549131i \(0.814959\pi\)
\(564\) −22.8158 92.5674i −0.960719 3.89779i
\(565\) −0.766590 + 9.49592i −0.0322507 + 0.399496i
\(566\) 9.64434 + 59.3440i 0.405382 + 2.49442i
\(567\) 16.5304 18.6589i 0.694210 0.783601i
\(568\) 46.6660 35.0672i 1.95806 1.47139i
\(569\) 3.30413 + 4.04682i 0.138516 + 0.169652i 0.839204 0.543816i \(-0.183021\pi\)
−0.700688 + 0.713468i \(0.747124\pi\)
\(570\) −5.41144 + 33.2979i −0.226660 + 1.39470i
\(571\) −2.30854 0.569003i −0.0966093 0.0238120i 0.190715 0.981646i \(-0.438919\pi\)
−0.287324 + 0.957833i \(0.592766\pi\)
\(572\) −39.8403 + 5.93007i −1.66581 + 0.247949i
\(573\) −18.2377 + 4.49519i −0.761891 + 0.187789i
\(574\) 3.22838 + 39.9907i 0.134750 + 1.66918i
\(575\) 2.16907 0.724141i 0.0904564 0.0301988i
\(576\) 6.45944 + 6.72499i 0.269143 + 0.280208i
\(577\) 25.9347i 1.07968i 0.841769 + 0.539838i \(0.181514\pi\)
−0.841769 + 0.539838i \(0.818486\pi\)
\(578\) 34.5356 33.1719i 1.43649 1.37977i
\(579\) −33.1482 27.0646i −1.37759 1.12477i
\(580\) 17.0439 32.4745i 0.707711 1.34843i
\(581\) 35.0234 5.69185i 1.45301 0.236138i
\(582\) 31.6238 19.9977i 1.31085 0.828930i
\(583\) −13.2586 + 6.29130i −0.549117 + 0.260559i
\(584\) 6.14215 8.89843i 0.254164 0.368220i
\(585\) −1.02159 + 0.325969i −0.0422375 + 0.0134771i
\(586\) −49.3324 71.4703i −2.03790 2.95241i
\(587\) −27.2103 15.7099i −1.12309 0.648416i −0.180902 0.983501i \(-0.557902\pi\)
−0.942188 + 0.335085i \(0.891235\pi\)
\(588\) 7.33150 + 15.4508i 0.302346 + 0.637180i
\(589\) −20.3079 6.77978i −0.836774 0.279356i
\(590\) 6.39887 25.9612i 0.263437 1.06881i
\(591\) −10.2041 + 0.411212i −0.419742 + 0.0169150i
\(592\) −70.1519 + 2.82702i −2.88322 + 0.116190i
\(593\) −7.42771 + 30.1354i −0.305020 + 1.23751i 0.595734 + 0.803182i \(0.296861\pi\)
−0.900753 + 0.434331i \(0.856985\pi\)
\(594\) −26.7762 8.93921i −1.09864 0.366780i
\(595\) −0.328114 0.691485i −0.0134513 0.0283481i
\(596\) −19.8014 11.4324i −0.811099 0.468288i
\(597\) 1.74081 + 2.52200i 0.0712467 + 0.103219i
\(598\) 6.95240 + 8.75098i 0.284305 + 0.357854i
\(599\) −17.3969 + 25.2038i −0.710819 + 1.02980i 0.286604 + 0.958049i \(0.407474\pi\)
−0.997423 + 0.0717500i \(0.977142\pi\)
\(600\) 35.2642 16.7331i 1.43966 0.683125i
\(601\) 2.35731 1.49067i 0.0961568 0.0608059i −0.485522 0.874224i \(-0.661370\pi\)
0.581679 + 0.813419i \(0.302396\pi\)
\(602\) −27.0406 + 4.39452i −1.10209 + 0.179107i
\(603\) 1.17445 2.23772i 0.0478272 0.0911271i
\(604\) 31.6826 + 25.8680i 1.28915 + 1.05256i
\(605\) 9.21948 8.85543i 0.374825 0.360024i
\(606\) 13.4366i 0.545823i
\(607\) 11.9867 + 12.4795i 0.486525 + 0.506526i 0.918533 0.395343i \(-0.129374\pi\)
−0.432008 + 0.901870i \(0.642195\pi\)
\(608\) −129.799 + 43.3333i −5.26405 + 1.75740i
\(609\) −1.43860 17.8202i −0.0582950 0.722113i
\(610\) 48.3731 11.9229i 1.95857 0.482744i
\(611\) 9.11071 + 33.1007i 0.368580 + 1.33911i
\(612\) −0.152816 0.0376657i −0.00617721 0.00152255i
\(613\) −2.37667 + 14.6242i −0.0959928 + 0.590667i 0.893835 + 0.448396i \(0.148005\pi\)
−0.989828 + 0.142271i \(0.954560\pi\)
\(614\) 10.3472 + 12.6730i 0.417579 + 0.511442i
\(615\) −11.0677 + 8.31684i −0.446293 + 0.335367i
\(616\) 40.9561 46.2299i 1.65017 1.86266i
\(617\) −0.641616 3.94802i −0.0258305 0.158941i 0.970931 0.239361i \(-0.0769380\pi\)
−0.996761 + 0.0804198i \(0.974374\pi\)
\(618\) 2.17486 26.9404i 0.0874855 1.08370i
\(619\) 10.1598 + 41.2201i 0.408358 + 1.65678i 0.710639 + 0.703556i \(0.248406\pi\)
−0.302281 + 0.953219i \(0.597748\pi\)
\(620\) −14.5570 50.2567i −0.584625 2.01836i
\(621\) 1.17292 + 5.74536i 0.0470678 + 0.230553i
\(622\) 14.9859 12.2356i 0.600879 0.490602i
\(623\) −1.90557 + 15.6938i −0.0763450 + 0.628758i
\(624\) 84.4112 + 83.2722i 3.37915 + 3.33356i
\(625\) −1.23745 10.1913i −0.0494980 0.407653i
\(626\) −53.5281 51.4144i −2.13941 2.05493i
\(627\) 9.09504 9.46894i 0.363221 0.378153i
\(628\) 1.18136 2.48967i 0.0471415 0.0993486i
\(629\) 0.448370 0.309487i 0.0178777 0.0123401i
\(630\) 1.32309 2.09230i 0.0527131 0.0833591i
\(631\) −7.62442 10.1463i −0.303523 0.403916i 0.621751 0.783215i \(-0.286422\pi\)
−0.925274 + 0.379299i \(0.876165\pi\)
\(632\) 8.68662 + 16.5510i 0.345535 + 0.658362i
\(633\) −5.08989 + 24.9319i −0.202305 + 0.990955i
\(634\) 51.8796 4.18815i 2.06040 0.166333i
\(635\) 16.7444 + 4.85008i 0.664483 + 0.192470i
\(636\) 69.3676 + 36.4069i 2.75060 + 1.44363i
\(637\) −2.78897 5.49081i −0.110503 0.217554i
\(638\) −16.8829 + 8.86083i −0.668401 + 0.350804i
\(639\) −0.892188 + 0.182141i −0.0352944 + 0.00720540i
\(640\) −116.610 87.6268i −4.60942 3.46375i
\(641\) −1.53924 38.1958i −0.0607963 1.50865i −0.685666 0.727916i \(-0.740489\pi\)
0.624870 0.780729i \(-0.285152\pi\)
\(642\) −34.3716 + 13.0354i −1.35654 + 0.514467i
\(643\) 0.178161 0.0516048i 0.00702597 0.00203510i −0.274703 0.961529i \(-0.588579\pi\)
0.281729 + 0.959494i \(0.409092\pi\)
\(644\) −18.9253 3.86362i −0.745761 0.152248i
\(645\) −6.26861 7.07580i −0.246826 0.278609i
\(646\) 1.12765 1.38112i 0.0443669 0.0543395i
\(647\) 0.444061 11.0193i 0.0174578 0.433212i −0.966699 0.255914i \(-0.917623\pi\)
0.984157 0.177298i \(-0.0567355\pi\)
\(648\) 29.8503 + 89.4125i 1.17263 + 3.51246i
\(649\) −7.78926 + 6.90068i −0.305755 + 0.270876i
\(650\) −18.8675 + 9.58347i −0.740044 + 0.375894i
\(651\) −19.0913 16.9134i −0.748247 0.662889i
\(652\) −42.9188 + 100.734i −1.68083 + 3.94506i
\(653\) 19.9813 34.6087i 0.781930 1.35434i −0.148887 0.988854i \(-0.547569\pi\)
0.930816 0.365487i \(-0.119098\pi\)
\(654\) −33.9077 58.7298i −1.32589 2.29652i
\(655\) 6.88622 0.836138i 0.269067 0.0326706i
\(656\) −85.1914 40.4238i −3.32617 1.57829i
\(657\) −0.146071 + 0.0843339i −0.00569876 + 0.00329018i
\(658\) −65.2266 45.0227i −2.54280 1.75517i
\(659\) 26.1445 11.1391i 1.01845 0.433920i 0.182778 0.983154i \(-0.441491\pi\)
0.835668 + 0.549235i \(0.185081\pi\)
\(660\) 31.6709 + 5.14702i 1.23279 + 0.200348i
\(661\) −14.2396 + 18.9495i −0.553858 + 0.737051i −0.986364 0.164580i \(-0.947373\pi\)
0.432506 + 0.901631i \(0.357629\pi\)
\(662\) −21.7928 57.4628i −0.847000 2.23336i
\(663\) −0.898976 0.196060i −0.0349133 0.00761434i
\(664\) −47.5794 + 125.457i −1.84644 + 4.86866i
\(665\) 11.2209 + 17.7444i 0.435128 + 0.688100i
\(666\) 1.62111 + 0.690692i 0.0628169 + 0.0267638i
\(667\) 3.34752 + 2.11685i 0.129617 + 0.0819646i
\(668\) 49.8642 + 6.05461i 1.92930 + 0.234260i
\(669\) −2.67634 6.28161i −0.103473 0.242861i
\(670\) −22.1563 + 66.3663i −0.855973 + 2.56395i
\(671\) −18.1299 6.87577i −0.699898 0.265436i
\(672\) −162.492 13.1177i −6.26828 0.506028i
\(673\) 6.47682 22.3606i 0.249663 0.861937i −0.733574 0.679609i \(-0.762149\pi\)
0.983238 0.182328i \(-0.0583634\pi\)
\(674\) −45.0648 1.81605i −1.73583 0.0699517i
\(675\) −11.1027 −0.427344
\(676\) −56.5656 52.8736i −2.17560 2.03360i
\(677\) −46.3183 −1.78016 −0.890078 0.455809i \(-0.849350\pi\)
−0.890078 + 0.455809i \(0.849350\pi\)
\(678\) −26.4177 1.06460i −1.01456 0.0408855i
\(679\) 6.47849 22.3663i 0.248622 0.858341i
\(680\) 2.88485 + 0.232889i 0.110629 + 0.00893090i
\(681\) 38.0620 + 14.4350i 1.45854 + 0.553151i
\(682\) −8.61386 + 25.8017i −0.329842 + 0.987996i
\(683\) −2.67011 6.26697i −0.102169 0.239799i 0.861048 0.508523i \(-0.169808\pi\)
−0.963217 + 0.268724i \(0.913398\pi\)
\(684\) 4.28575 + 0.520384i 0.163870 + 0.0198974i
\(685\) −4.08123 2.58081i −0.155936 0.0986077i
\(686\) −40.5232 17.2653i −1.54718 0.659193i
\(687\) −6.69581 10.5886i −0.255461 0.403979i
\(688\) 22.8320 60.2030i 0.870461 2.29522i
\(689\) −25.3236 12.4329i −0.964752 0.473657i
\(690\) −3.15713 8.32468i −0.120190 0.316915i
\(691\) 3.24660 4.32045i 0.123507 0.164357i −0.733454 0.679739i \(-0.762093\pi\)
0.856961 + 0.515381i \(0.172350\pi\)
\(692\) 44.6008 + 7.24834i 1.69547 + 0.275541i
\(693\) −0.886367 + 0.377646i −0.0336703 + 0.0143456i
\(694\) 69.9871 + 48.3086i 2.65668 + 1.83377i
\(695\) −5.93175 + 3.42470i −0.225004 + 0.129906i
\(696\) 61.0780 + 28.9819i 2.31515 + 1.09855i
\(697\) 0.726385 0.0881990i 0.0275138 0.00334078i
\(698\) 12.6484 + 21.9077i 0.478749 + 0.829217i
\(699\) −11.5089 + 19.9339i −0.435305 + 0.753970i
\(700\) 14.3352 33.6460i 0.541820 1.27170i
\(701\) 28.5942 + 25.3322i 1.07999 + 0.956786i 0.999202 0.0399458i \(-0.0127185\pi\)
0.0807859 + 0.996731i \(0.474257\pi\)
\(702\) −18.5637 50.9908i −0.700643 1.92453i
\(703\) −11.1859 + 9.90988i −0.421886 + 0.373758i
\(704\) 31.8170 + 95.3036i 1.19915 + 3.59189i
\(705\) 1.10121 27.3264i 0.0414741 1.02917i
\(706\) 27.6893 33.9133i 1.04210 1.27634i
\(707\) −5.54513 6.25916i −0.208546 0.235400i
\(708\) 54.4285 + 11.1117i 2.04555 + 0.417602i
\(709\) 5.05870 1.46527i 0.189984 0.0550294i −0.181862 0.983324i \(-0.558212\pi\)
0.371845 + 0.928295i \(0.378725\pi\)
\(710\) 23.5720 8.93968i 0.884641 0.335500i
\(711\) −0.0117410 0.291349i −0.000440321 0.0109265i
\(712\) −47.7913 35.9128i −1.79106 1.34589i
\(713\) 5.53625 1.13023i 0.207334 0.0423276i
\(714\) 1.88081 0.987125i 0.0703875 0.0369422i
\(715\) −11.4506 1.54569i −0.428229 0.0578057i
\(716\) 65.4082 + 34.3289i 2.44442 + 1.28293i
\(717\) −42.3449 12.2654i −1.58140 0.458058i
\(718\) −35.5692 + 2.87144i −1.32743 + 0.107161i
\(719\) 5.09301 24.9472i 0.189937 0.930374i −0.767349 0.641230i \(-0.778424\pi\)
0.957286 0.289144i \(-0.0933705\pi\)
\(720\) 2.70387 + 5.15179i 0.100767 + 0.191996i
\(721\) −10.1049 13.4472i −0.376327 0.500801i
\(722\) 2.50358 3.95909i 0.0931734 0.147342i
\(723\) −5.59420 + 3.86140i −0.208050 + 0.143607i
\(724\) −23.4913 + 49.5068i −0.873047 + 1.83991i
\(725\) −5.19488 + 5.40844i −0.192933 + 0.200865i
\(726\) 25.5862 + 24.5759i 0.949593 + 0.912097i
\(727\) −0.0399584 0.329087i −0.00148197 0.0122052i 0.991949 0.126637i \(-0.0404183\pi\)
−0.993431 + 0.114432i \(0.963495\pi\)
\(728\) 118.556 + 6.36345i 4.39399 + 0.235845i
\(729\) 3.42078 28.1726i 0.126695 1.04343i
\(730\) 3.61715 2.95331i 0.133877 0.109307i
\(731\) 0.0999396 + 0.489537i 0.00369640 + 0.0181062i
\(732\) 28.7976 + 99.4208i 1.06439 + 3.67470i
\(733\) −0.984522 3.99436i −0.0363642 0.147535i 0.949953 0.312392i \(-0.101130\pi\)
−0.986318 + 0.164856i \(0.947284\pi\)
\(734\) 0.969666 12.0115i 0.0357910 0.443351i
\(735\) 0.786957 + 4.84234i 0.0290274 + 0.178612i
\(736\) 23.9487 27.0325i 0.882761 0.996432i
\(737\) 21.7694 16.3587i 0.801887 0.602579i
\(738\) 1.49678 + 1.83322i 0.0550973 + 0.0674819i
\(739\) −5.21809 + 32.1082i −0.191951 + 1.18112i 0.694915 + 0.719092i \(0.255442\pi\)
−0.886866 + 0.462028i \(0.847122\pi\)
\(740\) −35.4605 8.74023i −1.30355 0.321297i
\(741\) 25.1276 + 2.36643i 0.923085 + 0.0869332i
\(742\) 63.2341 15.5858i 2.32140 0.572173i
\(743\) −1.34210 16.6249i −0.0492370 0.609910i −0.973580 0.228347i \(-0.926668\pi\)
0.924343 0.381563i \(-0.124614\pi\)
\(744\) 91.4845 30.5420i 3.35398 1.11972i
\(745\) −4.54356 4.73035i −0.166463 0.173306i
\(746\) 77.3696i 2.83270i
\(747\) 1.50953 1.44992i 0.0552308 0.0530499i
\(748\) −1.31364 1.07255i −0.0480314 0.0392164i
\(749\) −10.6317 + 20.2571i −0.388475 + 0.740178i
\(750\) 56.6218 9.20195i 2.06754 0.336008i
\(751\) −16.8983 + 10.6858i −0.616627 + 0.389931i −0.805950 0.591984i \(-0.798345\pi\)
0.189323 + 0.981915i \(0.439371\pi\)
\(752\) 168.291 79.8548i 6.13692 2.91201i
\(753\) −27.0190 + 39.1438i −0.984628 + 1.42648i
\(754\) −33.5249 14.8153i −1.22090 0.539542i
\(755\) 6.66512 + 9.65609i 0.242569 + 0.351421i
\(756\) 81.2177 + 46.8910i 2.95386 + 1.70541i
\(757\) 1.92709 + 4.06125i 0.0700412 + 0.147609i 0.935451 0.353455i \(-0.114993\pi\)
−0.865410 + 0.501064i \(0.832942\pi\)
\(758\) −62.7870 20.9614i −2.28053 0.761352i
\(759\) −0.829251 + 3.36440i −0.0300999 + 0.122120i
\(760\) −79.3252 + 3.19670i −2.87743 + 0.115956i
\(761\) 10.9331 0.440590i 0.396326 0.0159714i 0.158697 0.987327i \(-0.449271\pi\)
0.237629 + 0.971356i \(0.423630\pi\)
\(762\) −11.5781 + 46.9740i −0.419429 + 1.70169i
\(763\) −40.0324 13.3648i −1.44927 0.483838i
\(764\) −28.5302 60.1260i −1.03218 2.17528i
\(765\) −0.0390998 0.0225743i −0.00141366 0.000816176i
\(766\) −12.4816 18.0827i −0.450979