Properties

Label 378.2.z.a.41.16
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(41,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([17, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.z (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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(144\)
Relative dimension: \(24\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.16
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.33409 - 1.10463i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.22837 - 1.03073i) q^{5} +(-1.50564 - 0.856190i) q^{6} +(-2.38077 - 1.15409i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.559569 + 2.94735i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.33409 - 1.10463i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.22837 - 1.03073i) q^{5} +(-1.50564 - 0.856190i) q^{6} +(-2.38077 - 1.15409i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.559569 + 2.94735i) q^{9} +(-1.38870 - 0.801764i) q^{10} +(-1.11807 - 1.33247i) q^{11} +(-1.63144 - 0.581732i) q^{12} +(-5.29296 - 0.933292i) q^{13} +(-2.54501 - 0.723144i) q^{14} +(0.500179 + 2.73198i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-1.60003 + 2.77133i) q^{17} +(1.06287 + 2.80541i) q^{18} +(5.32168 - 3.07247i) q^{19} +(-1.50682 - 0.548439i) q^{20} +(1.90130 + 4.16954i) q^{21} +(-1.33247 - 1.11807i) q^{22} +(-0.619562 - 1.70223i) q^{23} +(-1.70767 - 0.289598i) q^{24} +(-0.421739 - 2.39180i) q^{25} -5.37462 q^{26} +(2.50923 - 4.55014i) q^{27} +(-2.63192 - 0.270222i) q^{28} +(-8.43923 + 1.48806i) q^{29} +(0.966984 + 2.60362i) q^{30} +(0.708408 + 1.94633i) q^{31} +(0.642788 - 0.766044i) q^{32} +(0.0197165 + 3.01269i) q^{33} +(-1.09448 + 3.00707i) q^{34} +(1.73492 + 3.87158i) q^{35} +(1.53388 + 2.57822i) q^{36} +(4.14213 - 7.17438i) q^{37} +(4.70730 - 3.94989i) q^{38} +(6.03032 + 7.09188i) q^{39} +(-1.57917 - 0.278450i) q^{40} +(0.912715 - 5.17626i) q^{41} +(2.59645 + 3.77604i) q^{42} +(6.21667 - 5.21641i) q^{43} +(-1.50638 - 0.869708i) q^{44} +(2.35056 - 4.19721i) q^{45} +(-0.905739 - 1.56879i) q^{46} +(4.67097 + 1.70009i) q^{47} +(-1.73201 + 0.0113352i) q^{48} +(4.33614 + 5.49526i) q^{49} +(-0.830664 - 2.28223i) q^{50} +(5.19588 - 1.92975i) q^{51} +(-5.29296 + 0.933292i) q^{52} +2.98316i q^{53} +(1.68099 - 4.91673i) q^{54} +2.78920i q^{55} +(-2.63885 + 0.190911i) q^{56} +(-10.4935 - 1.77956i) q^{57} +(-8.05262 + 2.93091i) q^{58} +(2.37450 + 1.99244i) q^{59} +(1.40441 + 2.39615i) q^{60} +(-1.98669 + 5.45838i) q^{61} +(1.03562 + 1.79375i) q^{62} +(2.06931 - 7.66276i) q^{63} +(0.500000 - 0.866025i) q^{64} +(5.53977 + 6.60204i) q^{65} +(0.542565 + 2.96350i) q^{66} +(1.59914 - 9.06919i) q^{67} +(-0.555684 + 3.15144i) q^{68} +(-1.05380 + 2.95531i) q^{69} +(2.38086 + 3.51150i) q^{70} +(-5.78309 - 3.33887i) q^{71} +(1.95828 + 2.27270i) q^{72} +(10.2097 - 5.89460i) q^{73} +(2.83338 - 7.78466i) q^{74} +(-2.07943 + 3.65673i) q^{75} +(3.94989 - 4.70730i) q^{76} +(1.12409 + 4.46267i) q^{77} +(7.17020 + 5.93698i) q^{78} +(1.51573 + 8.59615i) q^{79} -1.60353 q^{80} +(-8.37377 + 3.29849i) q^{81} -5.25611i q^{82} +(-2.15397 - 12.2158i) q^{83} +(3.21270 + 3.26780i) q^{84} +(4.82192 - 1.75503i) q^{85} +(5.21641 - 6.21667i) q^{86} +(12.9024 + 7.33706i) q^{87} +(-1.63452 - 0.594915i) q^{88} +(5.87485 + 10.1755i) q^{89} +(1.58601 - 4.54162i) q^{90} +(11.5242 + 8.33053i) q^{91} +(-1.16440 - 1.38767i) q^{92} +(1.20491 - 3.37911i) q^{93} +(4.89523 + 0.863161i) q^{94} +(-9.70389 - 1.71106i) q^{95} +(-1.70373 + 0.311924i) q^{96} +(-10.4532 - 12.4576i) q^{97} +(5.22450 + 4.65882i) q^{98} +(3.30162 - 4.04097i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q - 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 24 q^{21} - 60 q^{23} + 12 q^{29} - 72 q^{30} + 54 q^{35} - 12 q^{36} + 48 q^{39} + 24 q^{42} + 18 q^{49} - 60 q^{50} - 36 q^{51} + 6 q^{56} - 60 q^{57} - 36 q^{60} - 78 q^{63} + 72 q^{64} - 120 q^{65} + 36 q^{70} - 72 q^{71} - 24 q^{72} - 36 q^{74} + 66 q^{77} - 60 q^{78} - 72 q^{79} + 12 q^{84} - 72 q^{85} - 48 q^{86} - 18 q^{91} + 12 q^{92} + 24 q^{93} - 120 q^{95} + 36 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) −1.33409 1.10463i −0.770235 0.637761i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −1.22837 1.03073i −0.549345 0.460956i 0.325374 0.945585i \(-0.394510\pi\)
−0.874719 + 0.484630i \(0.838954\pi\)
\(6\) −1.50564 0.856190i −0.614673 0.349538i
\(7\) −2.38077 1.15409i −0.899847 0.436206i
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 0.559569 + 2.94735i 0.186523 + 0.982451i
\(10\) −1.38870 0.801764i −0.439144 0.253540i
\(11\) −1.11807 1.33247i −0.337112 0.401755i 0.570682 0.821171i \(-0.306679\pi\)
−0.907794 + 0.419417i \(0.862235\pi\)
\(12\) −1.63144 0.581732i −0.470955 0.167932i
\(13\) −5.29296 0.933292i −1.46800 0.258849i −0.618230 0.785997i \(-0.712150\pi\)
−0.849773 + 0.527148i \(0.823261\pi\)
\(14\) −2.54501 0.723144i −0.680182 0.193268i
\(15\) 0.500179 + 2.73198i 0.129146 + 0.705395i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −1.60003 + 2.77133i −0.388064 + 0.672146i −0.992189 0.124743i \(-0.960189\pi\)
0.604125 + 0.796889i \(0.293523\pi\)
\(18\) 1.06287 + 2.80541i 0.250521 + 0.661241i
\(19\) 5.32168 3.07247i 1.22088 0.704873i 0.255771 0.966737i \(-0.417671\pi\)
0.965105 + 0.261864i \(0.0843372\pi\)
\(20\) −1.50682 0.548439i −0.336936 0.122635i
\(21\) 1.90130 + 4.16954i 0.414898 + 0.909868i
\(22\) −1.33247 1.11807i −0.284084 0.238374i
\(23\) −0.619562 1.70223i −0.129188 0.354940i 0.858188 0.513335i \(-0.171590\pi\)
−0.987376 + 0.158395i \(0.949368\pi\)
\(24\) −1.70767 0.289598i −0.348576 0.0591140i
\(25\) −0.421739 2.39180i −0.0843478 0.478360i
\(26\) −5.37462 −1.05405
\(27\) 2.50923 4.55014i 0.482902 0.875674i
\(28\) −2.63192 0.270222i −0.497385 0.0510671i
\(29\) −8.43923 + 1.48806i −1.56713 + 0.276327i −0.888751 0.458389i \(-0.848426\pi\)
−0.678375 + 0.734716i \(0.737315\pi\)
\(30\) 0.966984 + 2.60362i 0.176546 + 0.475354i
\(31\) 0.708408 + 1.94633i 0.127234 + 0.349572i 0.986911 0.161266i \(-0.0515576\pi\)
−0.859677 + 0.510838i \(0.829335\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) 0.0197165 + 3.01269i 0.00343221 + 0.524442i
\(34\) −1.09448 + 3.00707i −0.187702 + 0.515708i
\(35\) 1.73492 + 3.87158i 0.293255 + 0.654417i
\(36\) 1.53388 + 2.57822i 0.255646 + 0.429704i
\(37\) 4.14213 7.17438i 0.680962 1.17946i −0.293726 0.955890i \(-0.594895\pi\)
0.974688 0.223571i \(-0.0717715\pi\)
\(38\) 4.70730 3.94989i 0.763625 0.640757i
\(39\) 6.03032 + 7.09188i 0.965624 + 1.13561i
\(40\) −1.57917 0.278450i −0.249688 0.0440268i
\(41\) 0.912715 5.17626i 0.142542 0.808396i −0.826766 0.562546i \(-0.809822\pi\)
0.969308 0.245850i \(-0.0790671\pi\)
\(42\) 2.59645 + 3.77604i 0.400641 + 0.582655i
\(43\) 6.21667 5.21641i 0.948034 0.795495i −0.0309317 0.999522i \(-0.509847\pi\)
0.978965 + 0.204027i \(0.0654030\pi\)
\(44\) −1.50638 0.869708i −0.227095 0.131113i
\(45\) 2.35056 4.19721i 0.350401 0.625684i
\(46\) −0.905739 1.56879i −0.133544 0.231305i
\(47\) 4.67097 + 1.70009i 0.681331 + 0.247984i 0.659419 0.751776i \(-0.270802\pi\)
0.0219122 + 0.999760i \(0.493025\pi\)
\(48\) −1.73201 + 0.0113352i −0.249995 + 0.00163609i
\(49\) 4.33614 + 5.49526i 0.619448 + 0.785038i
\(50\) −0.830664 2.28223i −0.117474 0.322756i
\(51\) 5.19588 1.92975i 0.727568 0.270218i
\(52\) −5.29296 + 0.933292i −0.734002 + 0.129424i
\(53\) 2.98316i 0.409768i 0.978786 + 0.204884i \(0.0656817\pi\)
−0.978786 + 0.204884i \(0.934318\pi\)
\(54\) 1.68099 4.91673i 0.228753 0.669083i
\(55\) 2.78920i 0.376096i
\(56\) −2.63885 + 0.190911i −0.352632 + 0.0255116i
\(57\) −10.4935 1.77956i −1.38990 0.235709i
\(58\) −8.05262 + 2.93091i −1.05736 + 0.384848i
\(59\) 2.37450 + 1.99244i 0.309133 + 0.259394i 0.784134 0.620592i \(-0.213108\pi\)
−0.475000 + 0.879986i \(0.657552\pi\)
\(60\) 1.40441 + 2.39615i 0.181308 + 0.309342i
\(61\) −1.98669 + 5.45838i −0.254369 + 0.698873i 0.745121 + 0.666930i \(0.232392\pi\)
−0.999490 + 0.0319436i \(0.989830\pi\)
\(62\) 1.03562 + 1.79375i 0.131524 + 0.227807i
\(63\) 2.06931 7.66276i 0.260709 0.965417i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 5.53977 + 6.60204i 0.687123 + 0.818882i
\(66\) 0.542565 + 2.96350i 0.0667852 + 0.364781i
\(67\) 1.59914 9.06919i 0.195366 1.10798i −0.716530 0.697556i \(-0.754271\pi\)
0.911896 0.410421i \(-0.134618\pi\)
\(68\) −0.555684 + 3.15144i −0.0673866 + 0.382168i
\(69\) −1.05380 + 2.95531i −0.126862 + 0.355778i
\(70\) 2.38086 + 3.51150i 0.284567 + 0.419705i
\(71\) −5.78309 3.33887i −0.686327 0.396251i 0.115908 0.993260i \(-0.463022\pi\)
−0.802235 + 0.597009i \(0.796356\pi\)
\(72\) 1.95828 + 2.27270i 0.230785 + 0.267840i
\(73\) 10.2097 5.89460i 1.19496 0.689911i 0.235533 0.971866i \(-0.424316\pi\)
0.959427 + 0.281956i \(0.0909831\pi\)
\(74\) 2.83338 7.78466i 0.329374 0.904948i
\(75\) −2.07943 + 3.65673i −0.240112 + 0.422243i
\(76\) 3.94989 4.70730i 0.453084 0.539964i
\(77\) 1.12409 + 4.46267i 0.128101 + 0.508568i
\(78\) 7.17020 + 5.93698i 0.811865 + 0.672231i
\(79\) 1.51573 + 8.59615i 0.170533 + 0.967143i 0.943174 + 0.332299i \(0.107824\pi\)
−0.772641 + 0.634844i \(0.781065\pi\)
\(80\) −1.60353 −0.179280
\(81\) −8.37377 + 3.29849i −0.930418 + 0.366499i
\(82\) 5.25611i 0.580441i
\(83\) −2.15397 12.2158i −0.236429 1.34085i −0.839584 0.543230i \(-0.817201\pi\)
0.603156 0.797624i \(-0.293910\pi\)
\(84\) 3.21270 + 3.26780i 0.350535 + 0.356546i
\(85\) 4.82192 1.75503i 0.523011 0.190360i
\(86\) 5.21641 6.21667i 0.562500 0.670361i
\(87\) 12.9024 + 7.33706i 1.38329 + 0.786615i
\(88\) −1.63452 0.594915i −0.174240 0.0634182i
\(89\) 5.87485 + 10.1755i 0.622732 + 1.07860i 0.988975 + 0.148085i \(0.0473108\pi\)
−0.366242 + 0.930520i \(0.619356\pi\)
\(90\) 1.58601 4.54162i 0.167180 0.478729i
\(91\) 11.5242 + 8.33053i 1.20807 + 0.873277i
\(92\) −1.16440 1.38767i −0.121397 0.144675i
\(93\) 1.20491 3.37911i 0.124943 0.350397i
\(94\) 4.89523 + 0.863161i 0.504904 + 0.0890282i
\(95\) −9.70389 1.71106i −0.995598 0.175551i
\(96\) −1.70373 + 0.311924i −0.173886 + 0.0318356i
\(97\) −10.4532 12.4576i −1.06136 1.26488i −0.962934 0.269737i \(-0.913063\pi\)
−0.0984275 0.995144i \(-0.531381\pi\)
\(98\) 5.22450 + 4.65882i 0.527755 + 0.470611i
\(99\) 3.30162 4.04097i 0.331825 0.406133i
\(100\) −1.21435 2.10331i −0.121435 0.210331i
\(101\) −3.21758 1.17110i −0.320162 0.116529i 0.176940 0.984222i \(-0.443380\pi\)
−0.497102 + 0.867692i \(0.665602\pi\)
\(102\) 4.78184 2.80268i 0.473473 0.277507i
\(103\) −2.82956 + 3.37214i −0.278805 + 0.332267i −0.887215 0.461356i \(-0.847363\pi\)
0.608410 + 0.793623i \(0.291808\pi\)
\(104\) −5.05049 + 1.83823i −0.495241 + 0.180253i
\(105\) 1.96215 7.08148i 0.191486 0.691081i
\(106\) 0.518020 + 2.93784i 0.0503145 + 0.285348i
\(107\) 1.33167i 0.128738i 0.997926 + 0.0643688i \(0.0205034\pi\)
−0.997926 + 0.0643688i \(0.979497\pi\)
\(108\) 0.801668 5.13394i 0.0771405 0.494014i
\(109\) 10.1589 0.973049 0.486525 0.873667i \(-0.338264\pi\)
0.486525 + 0.873667i \(0.338264\pi\)
\(110\) 0.484340 + 2.74683i 0.0461800 + 0.261900i
\(111\) −13.4510 + 4.99570i −1.27671 + 0.474171i
\(112\) −2.56561 + 0.646243i −0.242428 + 0.0610642i
\(113\) −12.6657 + 15.0944i −1.19149 + 1.41996i −0.308075 + 0.951362i \(0.599685\pi\)
−0.883412 + 0.468597i \(0.844760\pi\)
\(114\) −10.6431 + 0.0696538i −0.996820 + 0.00652368i
\(115\) −0.993485 + 2.72958i −0.0926430 + 0.254535i
\(116\) −7.42134 + 4.28471i −0.689054 + 0.397825i
\(117\) −0.211036 16.1225i −0.0195103 1.49052i
\(118\) 2.68441 + 1.54984i 0.247120 + 0.142675i
\(119\) 7.00767 4.75132i 0.642392 0.435553i
\(120\) 1.79916 + 2.11588i 0.164240 + 0.193152i
\(121\) 1.38475 7.85328i 0.125886 0.713935i
\(122\) −1.00867 + 5.72044i −0.0913204 + 0.517904i
\(123\) −6.93551 + 5.89736i −0.625354 + 0.531747i
\(124\) 1.33137 + 1.58667i 0.119561 + 0.142487i
\(125\) −5.95606 + 10.3162i −0.532726 + 0.922709i
\(126\) 0.707252 7.90568i 0.0630071 0.704294i
\(127\) 5.05821 + 8.76108i 0.448844 + 0.777420i 0.998311 0.0580951i \(-0.0185027\pi\)
−0.549467 + 0.835515i \(0.685169\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −14.0558 + 0.0919880i −1.23754 + 0.00809909i
\(130\) 6.60204 + 5.53977i 0.579037 + 0.485870i
\(131\) 5.94083 2.16229i 0.519053 0.188920i −0.0691909 0.997603i \(-0.522042\pi\)
0.588244 + 0.808684i \(0.299820\pi\)
\(132\) 1.04893 + 2.82426i 0.0912975 + 0.245820i
\(133\) −16.2156 + 1.17314i −1.40607 + 0.101724i
\(134\) 9.20909i 0.795544i
\(135\) −7.77223 + 3.00293i −0.668927 + 0.258451i
\(136\) 3.20006i 0.274403i
\(137\) −13.4336 + 2.36870i −1.14771 + 0.202372i −0.714975 0.699150i \(-0.753562\pi\)
−0.432733 + 0.901522i \(0.642451\pi\)
\(138\) −0.524601 + 3.09341i −0.0446570 + 0.263328i
\(139\) −5.44079 14.9484i −0.461482 1.26791i −0.924371 0.381495i \(-0.875409\pi\)
0.462889 0.886416i \(-0.346813\pi\)
\(140\) 2.95445 + 3.04472i 0.249697 + 0.257326i
\(141\) −4.35349 7.42778i −0.366630 0.625532i
\(142\) −6.27502 2.28392i −0.526588 0.191662i
\(143\) 4.67435 + 8.09620i 0.390888 + 0.677039i
\(144\) 2.32318 + 1.89812i 0.193598 + 0.158177i
\(145\) 11.9003 + 6.87065i 0.988268 + 0.570577i
\(146\) 9.03105 7.57795i 0.747415 0.627156i
\(147\) 0.285476 12.1210i 0.0235456 0.999723i
\(148\) 1.43855 8.15840i 0.118248 0.670617i
\(149\) 7.31949 + 1.29062i 0.599636 + 0.105732i 0.465223 0.885193i \(-0.345974\pi\)
0.134413 + 0.990925i \(0.457085\pi\)
\(150\) −1.41285 + 3.96227i −0.115359 + 0.323518i
\(151\) 2.73491 2.29487i 0.222564 0.186754i −0.524687 0.851295i \(-0.675818\pi\)
0.747251 + 0.664542i \(0.231373\pi\)
\(152\) 3.07247 5.32168i 0.249210 0.431645i
\(153\) −9.06341 3.16510i −0.732733 0.255883i
\(154\) 1.88194 + 4.19967i 0.151651 + 0.338419i
\(155\) 1.13595 3.12100i 0.0912418 0.250685i
\(156\) 8.09221 + 4.60169i 0.647895 + 0.368430i
\(157\) 0.928447 1.10648i 0.0740981 0.0883067i −0.727722 0.685872i \(-0.759421\pi\)
0.801820 + 0.597566i \(0.203865\pi\)
\(158\) 2.98541 + 8.20235i 0.237507 + 0.652544i
\(159\) 3.29530 3.97979i 0.261334 0.315618i
\(160\) −1.57917 + 0.278450i −0.124844 + 0.0220134i
\(161\) −0.489501 + 4.76766i −0.0385781 + 0.375744i
\(162\) −7.67377 + 4.70247i −0.602909 + 0.369461i
\(163\) −19.2613 −1.50866 −0.754332 0.656493i \(-0.772039\pi\)
−0.754332 + 0.656493i \(0.772039\pi\)
\(164\) −0.912715 5.17626i −0.0712710 0.404198i
\(165\) 3.08105 3.72103i 0.239859 0.289682i
\(166\) −4.24249 11.6561i −0.329281 0.904692i
\(167\) −19.7152 16.5431i −1.52561 1.28014i −0.821850 0.569704i \(-0.807058\pi\)
−0.703762 0.710436i \(-0.748498\pi\)
\(168\) 3.73134 + 2.66028i 0.287879 + 0.205245i
\(169\) 14.9284 + 5.43350i 1.14834 + 0.417961i
\(170\) 4.44390 2.56569i 0.340832 0.196779i
\(171\) 12.0335 + 13.9656i 0.920224 + 1.06798i
\(172\) 4.05764 7.02805i 0.309392 0.535884i
\(173\) −6.13189 + 5.14527i −0.466199 + 0.391187i −0.845406 0.534124i \(-0.820641\pi\)
0.379207 + 0.925312i \(0.376197\pi\)
\(174\) 13.9805 + 4.98511i 1.05986 + 0.377920i
\(175\) −1.75630 + 6.18105i −0.132764 + 0.467244i
\(176\) −1.71299 0.302046i −0.129121 0.0227676i
\(177\) −0.966867 5.28104i −0.0726742 0.396947i
\(178\) 7.55256 + 9.00079i 0.566088 + 0.674637i
\(179\) −3.14472 1.81561i −0.235048 0.135705i 0.377851 0.925866i \(-0.376663\pi\)
−0.612898 + 0.790162i \(0.709997\pi\)
\(180\) 0.773271 4.74803i 0.0576362 0.353897i
\(181\) −2.16569 + 1.25036i −0.160974 + 0.0929386i −0.578323 0.815808i \(-0.696293\pi\)
0.417349 + 0.908746i \(0.362959\pi\)
\(182\) 12.7957 + 6.20281i 0.948482 + 0.459783i
\(183\) 8.67992 5.08738i 0.641638 0.376070i
\(184\) −1.38767 1.16440i −0.102301 0.0858404i
\(185\) −12.4829 + 4.54341i −0.917762 + 0.334038i
\(186\) 0.599829 3.53700i 0.0439816 0.259346i
\(187\) 5.48166 0.966565i 0.400859 0.0706822i
\(188\) 4.97074 0.362529
\(189\) −11.2252 + 7.93695i −0.816512 + 0.577328i
\(190\) −9.85359 −0.714854
\(191\) 13.1908 2.32589i 0.954451 0.168296i 0.325328 0.945601i \(-0.394525\pi\)
0.629123 + 0.777306i \(0.283414\pi\)
\(192\) −1.62368 + 0.603035i −0.117179 + 0.0435203i
\(193\) −7.49502 + 2.72796i −0.539503 + 0.196363i −0.597377 0.801961i \(-0.703790\pi\)
0.0578734 + 0.998324i \(0.481568\pi\)
\(194\) −12.4576 10.4532i −0.894406 0.750496i
\(195\) −0.0976903 14.9271i −0.00699574 1.06895i
\(196\) 5.95413 + 3.68081i 0.425295 + 0.262915i
\(197\) 5.83373 3.36811i 0.415636 0.239968i −0.277572 0.960705i \(-0.589530\pi\)
0.693209 + 0.720737i \(0.256196\pi\)
\(198\) 2.54975 4.55290i 0.181203 0.323560i
\(199\) −1.71387 0.989503i −0.121493 0.0701440i 0.438022 0.898964i \(-0.355679\pi\)
−0.559515 + 0.828820i \(0.689013\pi\)
\(200\) −1.56114 1.86049i −0.110389 0.131557i
\(201\) −12.1515 + 10.3326i −0.857102 + 0.728806i
\(202\) −3.37206 0.594586i −0.237257 0.0418349i
\(203\) 21.8092 + 6.19692i 1.53071 + 0.434939i
\(204\) 4.22252 3.59046i 0.295635 0.251383i
\(205\) −6.45647 + 5.41762i −0.450940 + 0.378383i
\(206\) −2.20101 + 3.81226i −0.153352 + 0.265613i
\(207\) 4.67039 2.77858i 0.324615 0.193125i
\(208\) −4.65455 + 2.68731i −0.322735 + 0.186331i
\(209\) −10.0440 3.65572i −0.694759 0.252871i
\(210\) 0.702657 7.31462i 0.0484879 0.504757i
\(211\) 14.1109 + 11.8405i 0.971436 + 0.815131i 0.982775 0.184804i \(-0.0591651\pi\)
−0.0113396 + 0.999936i \(0.503610\pi\)
\(212\) 1.02030 + 2.80325i 0.0700745 + 0.192528i
\(213\) 4.02691 + 10.8425i 0.275919 + 0.742918i
\(214\) 0.231242 + 1.31144i 0.0158074 + 0.0896482i
\(215\) −13.0131 −0.887486
\(216\) −0.102011 5.19515i −0.00694094 0.353485i
\(217\) 0.559695 5.45134i 0.0379946 0.370061i
\(218\) 10.0046 1.76408i 0.677597 0.119479i
\(219\) −20.1321 3.41413i −1.36040 0.230706i
\(220\) 0.953963 + 2.62099i 0.0643162 + 0.176707i
\(221\) 11.0553 13.1753i 0.743663 0.886263i
\(222\) −12.3792 + 7.25555i −0.830836 + 0.486961i
\(223\) −3.35466 + 9.21684i −0.224644 + 0.617205i −0.999896 0.0144477i \(-0.995401\pi\)
0.775251 + 0.631653i \(0.217623\pi\)
\(224\) −2.41442 + 1.08194i −0.161320 + 0.0722901i
\(225\) 6.81349 2.58139i 0.454232 0.172093i
\(226\) −9.85215 + 17.0644i −0.655355 + 1.13511i
\(227\) 16.4371 13.7924i 1.09097 0.915432i 0.0941848 0.995555i \(-0.469976\pi\)
0.996785 + 0.0801223i \(0.0255311\pi\)
\(228\) −10.4693 + 1.91675i −0.693349 + 0.126940i
\(229\) −21.1385 3.72728i −1.39687 0.246306i −0.576013 0.817441i \(-0.695392\pi\)
−0.820856 + 0.571135i \(0.806503\pi\)
\(230\) −0.504406 + 2.86063i −0.0332595 + 0.188624i
\(231\) 3.42999 7.19528i 0.225677 0.473415i
\(232\) −6.56456 + 5.50832i −0.430984 + 0.361639i
\(233\) 13.5669 + 7.83287i 0.888799 + 0.513149i 0.873550 0.486735i \(-0.161812\pi\)
0.0152499 + 0.999884i \(0.495146\pi\)
\(234\) −3.00747 15.8409i −0.196604 1.03555i
\(235\) −3.98536 6.90285i −0.259976 0.450292i
\(236\) 2.91275 + 1.06016i 0.189604 + 0.0690103i
\(237\) 7.47348 13.1423i 0.485455 0.853686i
\(238\) 6.07615 5.89600i 0.393858 0.382181i
\(239\) −3.12366 8.58218i −0.202053 0.555135i 0.796737 0.604326i \(-0.206558\pi\)
−0.998789 + 0.0491916i \(0.984336\pi\)
\(240\) 2.13924 + 1.77131i 0.138088 + 0.114338i
\(241\) −9.06995 + 1.59928i −0.584247 + 0.103018i −0.457956 0.888975i \(-0.651418\pi\)
−0.126291 + 0.991993i \(0.540307\pi\)
\(242\) 7.97443i 0.512616i
\(243\) 14.8149 + 4.84947i 0.950379 + 0.311094i
\(244\) 5.80868i 0.371863i
\(245\) 0.337725 11.2196i 0.0215764 0.716795i
\(246\) −5.80608 + 7.01211i −0.370182 + 0.447076i
\(247\) −31.0349 + 11.2958i −1.97471 + 0.718734i
\(248\) 1.58667 + 1.33137i 0.100753 + 0.0845421i
\(249\) −10.6204 + 18.6762i −0.673038 + 1.18356i
\(250\) −4.07419 + 11.1937i −0.257674 + 0.707954i
\(251\) 10.9768 + 19.0123i 0.692847 + 1.20005i 0.970901 + 0.239481i \(0.0769771\pi\)
−0.278054 + 0.960565i \(0.589690\pi\)
\(252\) −0.676299 7.90839i −0.0426029 0.498182i
\(253\) −1.57546 + 2.72877i −0.0990482 + 0.171556i
\(254\) 6.50271 + 7.74963i 0.408016 + 0.486255i
\(255\) −8.37152 2.98509i −0.524245 0.186933i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 5.48114 31.0851i 0.341904 1.93904i −0.00190994 0.999998i \(-0.500608\pi\)
0.343814 0.939038i \(-0.388281\pi\)
\(258\) −13.8263 + 2.53135i −0.860787 + 0.157595i
\(259\) −18.1414 + 12.3001i −1.12725 + 0.764294i
\(260\) 7.46371 + 4.30917i 0.462879 + 0.267244i
\(261\) −9.10818 24.0407i −0.563782 1.48808i
\(262\) 5.47510 3.16105i 0.338253 0.195290i
\(263\) 2.50148 6.87277i 0.154248 0.423793i −0.838366 0.545108i \(-0.816489\pi\)
0.992614 + 0.121315i \(0.0387110\pi\)
\(264\) 1.52342 + 2.59921i 0.0937601 + 0.159970i
\(265\) 3.07482 3.66443i 0.188885 0.225104i
\(266\) −15.7655 + 3.97113i −0.966647 + 0.243485i
\(267\) 3.40269 20.0646i 0.208241 1.22793i
\(268\) −1.59914 9.06919i −0.0976831 0.553989i
\(269\) 14.2394 0.868190 0.434095 0.900867i \(-0.357068\pi\)
0.434095 + 0.900867i \(0.357068\pi\)
\(270\) −7.13270 + 4.30695i −0.434082 + 0.262112i
\(271\) 12.6413i 0.767903i −0.923353 0.383951i \(-0.874563\pi\)
0.923353 0.383951i \(-0.125437\pi\)
\(272\) 0.555684 + 3.15144i 0.0336933 + 0.191084i
\(273\) −6.17212 23.8437i −0.373554 1.44309i
\(274\) −12.8182 + 4.66543i −0.774374 + 0.281849i
\(275\) −2.71547 + 3.23617i −0.163749 + 0.195148i
\(276\) 0.0205334 + 3.13751i 0.00123596 + 0.188856i
\(277\) 0.920051 + 0.334871i 0.0552805 + 0.0201205i 0.369512 0.929226i \(-0.379525\pi\)
−0.314232 + 0.949346i \(0.601747\pi\)
\(278\) −7.95390 13.7766i −0.477043 0.826263i
\(279\) −5.34013 + 3.17703i −0.319705 + 0.190204i
\(280\) 3.43828 + 2.48543i 0.205476 + 0.148533i
\(281\) 16.5364 + 19.7074i 0.986481 + 1.17564i 0.984454 + 0.175644i \(0.0562008\pi\)
0.00202711 + 0.999998i \(0.499355\pi\)
\(282\) −5.57718 6.55896i −0.332116 0.390581i
\(283\) 0.657693 + 0.115969i 0.0390958 + 0.00689364i 0.193162 0.981167i \(-0.438126\pi\)
−0.154066 + 0.988061i \(0.549237\pi\)
\(284\) −6.57629 1.15958i −0.390231 0.0688083i
\(285\) 11.0557 + 13.0019i 0.654885 + 0.770168i
\(286\) 6.00922 + 7.16151i 0.355333 + 0.423469i
\(287\) −8.14685 + 11.2701i −0.480894 + 0.665255i
\(288\) 2.61749 + 1.46587i 0.154237 + 0.0863770i
\(289\) 3.37982 + 5.85402i 0.198813 + 0.344354i
\(290\) 12.9126 + 4.69980i 0.758254 + 0.275982i
\(291\) 0.184336 + 28.1665i 0.0108059 + 1.65115i
\(292\) 7.57795 9.03105i 0.443466 0.528502i
\(293\) −3.25175 + 1.18354i −0.189969 + 0.0691431i −0.435253 0.900308i \(-0.643341\pi\)
0.245284 + 0.969451i \(0.421119\pi\)
\(294\) −1.82365 11.9864i −0.106357 0.699062i
\(295\) −0.863107 4.89493i −0.0502521 0.284994i
\(296\) 8.28426i 0.481513i
\(297\) −8.86843 + 1.74392i −0.514599 + 0.101192i
\(298\) 7.43241 0.430548
\(299\) 1.69064 + 9.58809i 0.0977722 + 0.554494i
\(300\) −0.703346 + 4.14741i −0.0406077 + 0.239451i
\(301\) −20.8207 + 5.24445i −1.20008 + 0.302285i
\(302\) 2.29487 2.73491i 0.132055 0.157377i
\(303\) 2.99889 + 5.11661i 0.172282 + 0.293941i
\(304\) 2.10169 5.77436i 0.120540 0.331182i
\(305\) 8.06649 4.65719i 0.461886 0.266670i
\(306\) −9.47533 1.54317i −0.541668 0.0882170i
\(307\) 11.6130 + 6.70477i 0.662789 + 0.382662i 0.793339 0.608780i \(-0.208341\pi\)
−0.130550 + 0.991442i \(0.541674\pi\)
\(308\) 2.58262 + 3.80908i 0.147158 + 0.217042i
\(309\) 7.49986 1.37309i 0.426652 0.0781126i
\(310\) 0.576738 3.27084i 0.0327565 0.185771i
\(311\) −0.883926 + 5.01299i −0.0501228 + 0.284261i −0.999559 0.0296998i \(-0.990545\pi\)
0.949436 + 0.313961i \(0.101656\pi\)
\(312\) 8.76835 + 3.12659i 0.496410 + 0.177008i
\(313\) 9.10627 + 10.8524i 0.514717 + 0.613416i 0.959323 0.282311i \(-0.0911009\pi\)
−0.444606 + 0.895726i \(0.646656\pi\)
\(314\) 0.722203 1.25089i 0.0407563 0.0705920i
\(315\) −10.4401 + 7.27984i −0.588234 + 0.410172i
\(316\) 4.36438 + 7.55933i 0.245516 + 0.425246i
\(317\) 6.24042 17.1454i 0.350497 0.962982i −0.631714 0.775201i \(-0.717648\pi\)
0.982211 0.187780i \(-0.0601293\pi\)
\(318\) 2.55415 4.49155i 0.143230 0.251873i
\(319\) 11.4185 + 9.58126i 0.639313 + 0.536447i
\(320\) −1.50682 + 0.548439i −0.0842340 + 0.0306587i
\(321\) 1.47101 1.77656i 0.0821037 0.0991581i
\(322\) 0.345831 + 4.78023i 0.0192724 + 0.266392i
\(323\) 19.6642i 1.09414i
\(324\) −6.74062 + 5.96356i −0.374479 + 0.331309i
\(325\) 13.0533i 0.724068i
\(326\) −18.9687 + 3.34470i −1.05058 + 0.185246i
\(327\) −13.5529 11.2219i −0.749476 0.620572i
\(328\) −1.79770 4.93913i −0.0992612 0.272718i
\(329\) −9.15844 9.43827i −0.504921 0.520349i
\(330\) 2.38809 4.19952i 0.131460 0.231176i
\(331\) −16.2498 5.91444i −0.893169 0.325087i −0.145657 0.989335i \(-0.546530\pi\)
−0.747512 + 0.664248i \(0.768752\pi\)
\(332\) −6.20210 10.7424i −0.340385 0.589563i
\(333\) 23.4632 + 8.19376i 1.28578 + 0.449015i
\(334\) −22.2884 12.8682i −1.21957 0.704117i
\(335\) −11.3122 + 9.49207i −0.618052 + 0.518607i
\(336\) 4.13661 + 1.97192i 0.225671 + 0.107577i
\(337\) 3.88611 22.0392i 0.211690 1.20055i −0.674869 0.737938i \(-0.735800\pi\)
0.886559 0.462616i \(-0.153089\pi\)
\(338\) 15.6451 + 2.75866i 0.850983 + 0.150051i
\(339\) 33.5709 6.14625i 1.82332 0.333818i
\(340\) 3.93086 3.29839i 0.213181 0.178880i
\(341\) 1.80138 3.12008i 0.0975501 0.168962i
\(342\) 14.2758 + 11.6638i 0.771946 + 0.630708i
\(343\) −3.98130 18.0873i −0.214970 0.976621i
\(344\) 2.77559 7.62588i 0.149650 0.411160i
\(345\) 4.34058 2.54405i 0.233689 0.136967i
\(346\) −5.14527 + 6.13189i −0.276611 + 0.329653i
\(347\) −4.31557 11.8569i −0.231672 0.636513i 0.768322 0.640064i \(-0.221092\pi\)
−0.999994 + 0.00355038i \(0.998870\pi\)
\(348\) 14.6337 + 2.48169i 0.784450 + 0.133032i
\(349\) 32.5133 5.73298i 1.74040 0.306879i 0.788898 0.614524i \(-0.210652\pi\)
0.951501 + 0.307644i \(0.0995407\pi\)
\(350\) −0.656287 + 6.39213i −0.0350800 + 0.341674i
\(351\) −17.5279 + 21.7419i −0.935569 + 1.16049i
\(352\) −1.73942 −0.0927112
\(353\) 4.61908 + 26.1961i 0.245849 + 1.39428i 0.818513 + 0.574488i \(0.194799\pi\)
−0.572664 + 0.819790i \(0.694090\pi\)
\(354\) −1.86922 5.03291i −0.0993480 0.267496i
\(355\) 3.66233 + 10.0622i 0.194376 + 0.534045i
\(356\) 9.00079 + 7.55256i 0.477041 + 0.400285i
\(357\) −14.5973 1.40225i −0.772571 0.0742147i
\(358\) −3.41222 1.24195i −0.180342 0.0656390i
\(359\) 24.4201 14.0989i 1.28884 0.744113i 0.310394 0.950608i \(-0.399539\pi\)
0.978448 + 0.206494i \(0.0662055\pi\)
\(360\) −0.0629630 4.81017i −0.00331844 0.253518i
\(361\) 9.38016 16.2469i 0.493692 0.855100i
\(362\) −1.91566 + 1.60743i −0.100685 + 0.0844848i
\(363\) −10.5224 + 8.94732i −0.552281 + 0.469612i
\(364\) 13.6784 + 3.88662i 0.716945 + 0.203714i
\(365\) −18.6171 3.28270i −0.974464 0.171824i
\(366\) 7.66463 6.51734i 0.400637 0.340667i
\(367\) 2.45598 + 2.92692i 0.128201 + 0.152784i 0.826326 0.563191i \(-0.190427\pi\)
−0.698125 + 0.715976i \(0.745982\pi\)
\(368\) −1.56879 0.905739i −0.0817787 0.0472149i
\(369\) 15.7670 0.206383i 0.820797 0.0107439i
\(370\) −11.5043 + 6.64202i −0.598081 + 0.345302i
\(371\) 3.44284 7.10221i 0.178743 0.368728i
\(372\) −0.0234779 3.58743i −0.00121727 0.185999i
\(373\) 15.1183 + 12.6858i 0.782798 + 0.656846i 0.943952 0.330084i \(-0.107077\pi\)
−0.161154 + 0.986929i \(0.551521\pi\)
\(374\) 5.23054 1.90376i 0.270465 0.0984412i
\(375\) 19.3415 7.18343i 0.998792 0.370951i
\(376\) 4.89523 0.863161i 0.252452 0.0445141i
\(377\) 46.0573 2.37207
\(378\) −9.67642 + 9.76560i −0.497701 + 0.502288i
\(379\) 0.150694 0.00774063 0.00387031 0.999993i \(-0.498768\pi\)
0.00387031 + 0.999993i \(0.498768\pi\)
\(380\) −9.70389 + 1.71106i −0.497799 + 0.0877754i
\(381\) 2.92970 17.2755i 0.150093 0.885051i
\(382\) 12.5865 4.58111i 0.643981 0.234390i
\(383\) 27.4731 + 23.0527i 1.40381 + 1.17794i 0.959378 + 0.282124i \(0.0910389\pi\)
0.444432 + 0.895813i \(0.353406\pi\)
\(384\) −1.49430 + 0.875823i −0.0762557 + 0.0446942i
\(385\) 3.21900 6.64045i 0.164055 0.338429i
\(386\) −6.90745 + 3.98802i −0.351580 + 0.202985i
\(387\) 18.8532 + 15.4038i 0.958364 + 0.783018i
\(388\) −14.0836 8.13114i −0.714984 0.412796i
\(389\) −9.44854 11.2603i −0.479060 0.570922i 0.471340 0.881952i \(-0.343771\pi\)
−0.950400 + 0.311030i \(0.899326\pi\)
\(390\) −2.68827 14.6834i −0.136126 0.743521i
\(391\) 5.70877 + 1.00661i 0.288705 + 0.0509064i
\(392\) 6.50284 + 2.59097i 0.328443 + 0.130864i
\(393\) −10.3141 3.67777i −0.520278 0.185519i
\(394\) 5.16024 4.32995i 0.259969 0.218140i
\(395\) 6.99841 12.1216i 0.352128 0.609904i
\(396\) 1.72041 4.92649i 0.0864540 0.247565i
\(397\) 20.0560 11.5793i 1.00658 0.581149i 0.0963916 0.995343i \(-0.469270\pi\)
0.910189 + 0.414194i \(0.135937\pi\)
\(398\) −1.85966 0.676860i −0.0932162 0.0339279i
\(399\) 22.9289 + 16.3472i 1.14788 + 0.818386i
\(400\) −1.86049 1.56114i −0.0930245 0.0780568i
\(401\) 8.16730 + 22.4395i 0.407856 + 1.12057i 0.958315 + 0.285713i \(0.0922303\pi\)
−0.550460 + 0.834862i \(0.685548\pi\)
\(402\) −10.1727 + 12.2857i −0.507367 + 0.612756i
\(403\) −1.93308 10.9630i −0.0962934 0.546107i
\(404\) −3.42408 −0.170354
\(405\) 13.6860 + 4.57929i 0.680061 + 0.227547i
\(406\) 22.5540 + 2.31564i 1.11934 + 0.114923i
\(407\) −14.1909 + 2.50223i −0.703415 + 0.124031i
\(408\) 3.53489 4.26915i 0.175003 0.211354i
\(409\) 4.78525 + 13.1474i 0.236615 + 0.650096i 0.999991 + 0.00414126i \(0.00131821\pi\)
−0.763376 + 0.645954i \(0.776460\pi\)
\(410\) −5.41762 + 6.45647i −0.267557 + 0.318862i
\(411\) 20.5381 + 11.6791i 1.01307 + 0.576089i
\(412\) −1.50558 + 4.13654i −0.0741745 + 0.203793i
\(413\) −3.35367 7.48394i −0.165024 0.368261i
\(414\) 4.11694 3.54738i 0.202337 0.174344i
\(415\) −9.94524 + 17.2257i −0.488193 + 0.845575i
\(416\) −4.11719 + 3.45474i −0.201862 + 0.169382i
\(417\) −9.25408 + 25.9526i −0.453174 + 1.27090i
\(418\) −10.5262 1.85606i −0.514855 0.0907827i
\(419\) 0.0954356 0.541242i 0.00466233 0.0264414i −0.982388 0.186853i \(-0.940171\pi\)
0.987050 + 0.160412i \(0.0512822\pi\)
\(420\) −0.578188 7.32551i −0.0282127 0.357448i
\(421\) −1.82662 + 1.53272i −0.0890240 + 0.0747000i −0.686214 0.727400i \(-0.740728\pi\)
0.597190 + 0.802100i \(0.296284\pi\)
\(422\) 15.9526 + 9.21025i 0.776561 + 0.448348i
\(423\) −2.39705 + 14.7183i −0.116548 + 0.715629i
\(424\) 1.49158 + 2.58349i 0.0724374 + 0.125465i
\(425\) 7.30326 + 2.65817i 0.354260 + 0.128940i
\(426\) 5.84852 + 9.97855i 0.283362 + 0.483462i
\(427\) 11.0293 10.7023i 0.533746 0.517921i
\(428\) 0.455458 + 1.25136i 0.0220154 + 0.0604869i
\(429\) 2.70736 15.9645i 0.130713 0.770772i
\(430\) −12.8154 + 2.25970i −0.618013 + 0.108972i
\(431\) 15.8551i 0.763715i −0.924221 0.381857i \(-0.875285\pi\)
0.924221 0.381857i \(-0.124715\pi\)
\(432\) −1.00259 5.09851i −0.0482371 0.245302i
\(433\) 36.7588i 1.76651i 0.468889 + 0.883257i \(0.344654\pi\)
−0.468889 + 0.883257i \(0.655346\pi\)
\(434\) −0.395424 5.46572i −0.0189809 0.262363i
\(435\) −8.28649 22.3115i −0.397307 1.06976i
\(436\) 9.54627 3.47456i 0.457184 0.166401i
\(437\) −8.52717 7.15515i −0.407910 0.342277i
\(438\) −20.4191 + 0.133632i −0.975660 + 0.00638520i
\(439\) 1.10729 3.04226i 0.0528483 0.145199i −0.910460 0.413598i \(-0.864272\pi\)
0.963308 + 0.268398i \(0.0864943\pi\)
\(440\) 1.39460 + 2.41552i 0.0664850 + 0.115155i
\(441\) −13.7701 + 15.8551i −0.655719 + 0.755005i
\(442\) 8.59953 14.8948i 0.409038 0.708475i
\(443\) −4.05781 4.83591i −0.192792 0.229761i 0.660985 0.750399i \(-0.270139\pi\)
−0.853778 + 0.520638i \(0.825694\pi\)
\(444\) −10.9312 + 9.29494i −0.518772 + 0.441118i
\(445\) 3.27170 18.5547i 0.155093 0.879578i
\(446\) −1.70320 + 9.65935i −0.0806490 + 0.457383i
\(447\) −8.33917 9.80716i −0.394429 0.463863i
\(448\) −2.18986 + 1.48476i −0.103461 + 0.0701484i
\(449\) −30.9116 17.8468i −1.45881 0.842244i −0.459856 0.887994i \(-0.652099\pi\)
−0.998953 + 0.0457500i \(0.985432\pi\)
\(450\) 6.26172 3.72532i 0.295180 0.175613i
\(451\) −7.91770 + 4.57128i −0.372830 + 0.215253i
\(452\) −6.73927 + 18.5160i −0.316989 + 0.870919i
\(453\) −6.18360 + 0.0404685i −0.290531 + 0.00190138i
\(454\) 13.7924 16.4371i 0.647308 0.771432i
\(455\) −5.56955 22.1113i −0.261104 1.03660i
\(456\) −9.97744 + 3.70562i −0.467237 + 0.173531i
\(457\) 0.345111 + 1.95722i 0.0161436 + 0.0915549i 0.991815 0.127683i \(-0.0407540\pi\)
−0.975671 + 0.219238i \(0.929643\pi\)
\(458\) −21.4646 −1.00297
\(459\) 8.59509 + 14.2343i 0.401184 + 0.664398i
\(460\) 2.90476i 0.135435i
\(461\) 3.21451 + 18.2304i 0.149715 + 0.849075i 0.963460 + 0.267853i \(0.0863141\pi\)
−0.813745 + 0.581222i \(0.802575\pi\)
\(462\) 2.12843 7.68158i 0.0990235 0.357380i
\(463\) −27.5487 + 10.0269i −1.28029 + 0.465989i −0.890530 0.454925i \(-0.849666\pi\)
−0.389765 + 0.920914i \(0.627444\pi\)
\(464\) −5.50832 + 6.56456i −0.255717 + 0.304752i
\(465\) −4.96302 + 2.90887i −0.230155 + 0.134896i
\(466\) 14.7210 + 5.35800i 0.681937 + 0.248205i
\(467\) −18.1270 31.3969i −0.838817 1.45287i −0.890884 0.454230i \(-0.849914\pi\)
0.0520675 0.998644i \(-0.483419\pi\)
\(468\) −5.71252 15.0780i −0.264061 0.696980i
\(469\) −14.2739 + 19.7461i −0.659106 + 0.911790i
\(470\) −5.12348 6.10593i −0.236329 0.281646i
\(471\) −2.46088 + 0.450545i −0.113391 + 0.0207600i
\(472\) 3.05260 + 0.538255i 0.140507 + 0.0247752i
\(473\) −13.9014 2.45119i −0.639188 0.112706i
\(474\) 5.07780 14.2404i 0.233231 0.654085i
\(475\) −9.59310 11.4326i −0.440161 0.524564i
\(476\) 4.96001 6.86154i 0.227342 0.314498i
\(477\) −8.79241 + 1.66928i −0.402577 + 0.0764311i
\(478\) −4.56648 7.90938i −0.208866 0.361766i
\(479\) −26.1409 9.51451i −1.19441 0.434729i −0.333139 0.942878i \(-0.608108\pi\)
−0.861269 + 0.508149i \(0.830330\pi\)
\(480\) 2.41433 + 1.37293i 0.110199 + 0.0626652i
\(481\) −28.6199 + 34.1079i −1.30496 + 1.55519i
\(482\) −8.65445 + 3.14996i −0.394199 + 0.143477i
\(483\) 5.91955 5.81975i 0.269349 0.264808i
\(484\) −1.38475 7.85328i −0.0629430 0.356967i
\(485\) 26.0770i 1.18410i
\(486\) 15.4320 + 2.20321i 0.700009 + 0.0999397i
\(487\) 10.8334 0.490910 0.245455 0.969408i \(-0.421063\pi\)
0.245455 + 0.969408i \(0.421063\pi\)
\(488\) 1.00867 + 5.72044i 0.0456602 + 0.258952i
\(489\) 25.6963 + 21.2767i 1.16203 + 0.962167i
\(490\) −1.61567 11.1078i −0.0729886 0.501800i
\(491\) 17.2429 20.5492i 0.778159 0.927374i −0.220689 0.975344i \(-0.570831\pi\)
0.998849 + 0.0479700i \(0.0152752\pi\)
\(492\) −4.50023 + 7.91379i −0.202886 + 0.356781i
\(493\) 9.37909 25.7688i 0.422413 1.16057i
\(494\) −28.6020 + 16.5133i −1.28686 + 0.742971i
\(495\) −8.22076 + 1.56075i −0.369496 + 0.0701505i
\(496\) 1.79375 + 1.03562i 0.0805418 + 0.0465008i
\(497\) 9.91485 + 14.6233i 0.444742 + 0.655945i
\(498\) −7.21592 + 20.2367i −0.323353 + 0.906827i
\(499\) 2.01165 11.4086i 0.0900537 0.510720i −0.906098 0.423069i \(-0.860953\pi\)
0.996151 0.0876511i \(-0.0279361\pi\)
\(500\) −2.06852 + 11.7312i −0.0925070 + 0.524633i
\(501\) 8.02781 + 43.8480i 0.358656 + 1.95898i
\(502\) 14.1114 + 16.8174i 0.629825 + 0.750596i
\(503\) 2.49206 4.31637i 0.111115 0.192457i −0.805105 0.593132i \(-0.797891\pi\)
0.916220 + 0.400675i \(0.131224\pi\)
\(504\) −2.03930 7.67080i −0.0908377 0.341685i
\(505\) 2.74531 + 4.75501i 0.122164 + 0.211595i
\(506\) −1.07768 + 2.96089i −0.0479086 + 0.131628i
\(507\) −13.9138 23.7392i −0.617932 1.05429i
\(508\) 7.74963 + 6.50271i 0.343834 + 0.288511i
\(509\) 31.3602 11.4142i 1.39002 0.505925i 0.464819 0.885406i \(-0.346119\pi\)
0.925200 + 0.379480i \(0.123897\pi\)
\(510\) −8.76270 1.48604i −0.388019 0.0658028i
\(511\) −31.1100 + 2.25069i −1.37622 + 0.0995646i
\(512\) 1.00000i 0.0441942i
\(513\) −0.626849 31.9239i −0.0276761 1.40947i
\(514\) 31.5646i 1.39226i
\(515\) 6.95152 1.22574i 0.306320 0.0540126i
\(516\) −13.1767 + 4.89380i −0.580070 + 0.215438i
\(517\) −2.95717 8.12476i −0.130056 0.357327i
\(518\) −15.7299 + 15.2635i −0.691130 + 0.670640i
\(519\) 13.8641 0.0907335i 0.608567 0.00398276i
\(520\) 8.09860 + 2.94765i 0.355147 + 0.129263i
\(521\) −17.6096 30.5007i −0.771491 1.33626i −0.936746 0.350011i \(-0.886178\pi\)
0.165255 0.986251i \(-0.447155\pi\)
\(522\) −13.1444 22.0939i −0.575316 0.967022i
\(523\) −30.3929 17.5474i −1.32899 0.767293i −0.343847 0.939026i \(-0.611730\pi\)
−0.985144 + 0.171733i \(0.945063\pi\)
\(524\) 4.84301 4.06377i 0.211568 0.177527i
\(525\) 9.17085 6.30599i 0.400249 0.275216i
\(526\) 1.27004 7.20273i 0.0553762 0.314054i
\(527\) −6.52741 1.15096i −0.284338 0.0501365i
\(528\) 1.95162 + 2.29518i 0.0849336 + 0.0998850i
\(529\) 15.1053 12.6748i 0.656751 0.551080i
\(530\) 2.39179 4.14270i 0.103893 0.179947i
\(531\) −4.54373 + 8.11339i −0.197181 + 0.352091i
\(532\) −14.8365 + 6.64845i −0.643242 + 0.288247i
\(533\) −9.66193 + 26.5459i −0.418505 + 1.14983i
\(534\) −0.133185 20.3506i −0.00576346 0.880658i
\(535\) 1.37259 1.63579i 0.0593423 0.0707214i
\(536\) −3.14970 8.65372i −0.136046 0.373784i
\(537\) 2.18975 + 5.89594i 0.0944946 + 0.254429i
\(538\) 14.0231 2.47264i 0.604577 0.106603i
\(539\) 2.47415 11.9219i 0.106569 0.513512i
\(540\) −6.27644 + 5.48009i −0.270095 + 0.235826i
\(541\) 19.8606 0.853875 0.426937 0.904281i \(-0.359592\pi\)
0.426937 + 0.904281i \(0.359592\pi\)
\(542\) −2.19513 12.4492i −0.0942891 0.534740i
\(543\) 4.27041 + 0.724205i 0.183261 + 0.0310786i
\(544\) 1.09448 + 3.00707i 0.0469256 + 0.128927i
\(545\) −12.4790 10.4711i −0.534540 0.448532i
\(546\) −10.2188 22.4097i −0.437323 0.959045i
\(547\) 15.7946 + 5.74878i 0.675330 + 0.245800i 0.656841 0.754029i \(-0.271892\pi\)
0.0184889 + 0.999829i \(0.494114\pi\)
\(548\) −11.8133 + 6.82041i −0.504639 + 0.291353i
\(549\) −17.1994 2.80113i −0.734054 0.119549i
\(550\) −2.11226 + 3.65854i −0.0900670 + 0.156001i
\(551\) −40.3388 + 33.8483i −1.71849 + 1.44199i
\(552\) 0.565044 + 3.08627i 0.0240499 + 0.131361i
\(553\) 6.31215 22.2148i 0.268420 0.944668i
\(554\) 0.964223 + 0.170019i 0.0409659 + 0.00722340i
\(555\) 21.6721 + 7.72775i 0.919929 + 0.328025i
\(556\) −10.2253 12.1861i −0.433651 0.516805i
\(557\) −27.8434 16.0754i −1.17976 0.681136i −0.223803 0.974634i \(-0.571847\pi\)
−0.955960 + 0.293498i \(0.905181\pi\)
\(558\) −4.70731 + 4.05607i −0.199277 + 0.171707i
\(559\) −37.7730 + 21.8083i −1.59763 + 0.922392i
\(560\) 3.81763 + 1.85062i 0.161324 + 0.0782030i
\(561\) −8.38071 4.76575i −0.353834 0.201210i
\(562\) 19.7074 + 16.5364i 0.831304 + 0.697547i
\(563\) 3.65909 1.33180i 0.154212 0.0561287i −0.263761 0.964588i \(-0.584963\pi\)
0.417973 + 0.908459i \(0.362741\pi\)
\(564\) −6.63140 5.49085i −0.279232 0.231207i
\(565\) 31.1164 5.48666i 1.30908 0.230825i
\(566\) 0.667839 0.0280714
\(567\) 23.7428 + 1.81116i 0.997103 + 0.0760614i
\(568\) −6.67774 −0.280192
\(569\) −11.7033 + 2.06361i −0.490627 + 0.0865108i −0.413488 0.910509i \(-0.635690\pi\)
−0.0771392 + 0.997020i \(0.524579\pi\)
\(570\) 13.1455 + 10.8846i 0.550606 + 0.455906i
\(571\) 6.19644 2.25532i 0.259313 0.0943822i −0.209092 0.977896i \(-0.567051\pi\)
0.468405 + 0.883514i \(0.344829\pi\)
\(572\) 7.16151 + 6.00922i 0.299438 + 0.251258i
\(573\) −20.1669 11.4680i −0.842484 0.479084i
\(574\) −6.06605 + 12.5136i −0.253192 + 0.522308i
\(575\) −3.81011 + 2.19977i −0.158893 + 0.0917366i
\(576\) 2.83227 + 0.989075i 0.118011 + 0.0412115i
\(577\) −10.7996 6.23516i −0.449594 0.259573i 0.258065 0.966128i \(-0.416915\pi\)
−0.707659 + 0.706555i \(0.750248\pi\)
\(578\) 4.34502 + 5.17819i 0.180729 + 0.215384i
\(579\) 13.0124 + 4.63991i 0.540777 + 0.192828i
\(580\) 13.5325 + 2.38615i 0.561908 + 0.0990796i
\(581\) −8.97002 + 31.5688i −0.372139 + 1.30969i
\(582\) 5.07260 + 27.7066i 0.210266 + 1.14847i
\(583\) 3.97497 3.33539i 0.164626 0.138138i
\(584\) 5.89460 10.2097i 0.243920 0.422482i
\(585\) −16.3586 + 20.0219i −0.676347 + 0.827805i
\(586\) −2.99683 + 1.73022i −0.123798 + 0.0714747i
\(587\) −7.02298 2.55616i −0.289869 0.105504i 0.192993 0.981200i \(-0.438181\pi\)
−0.482862 + 0.875696i \(0.660403\pi\)
\(588\) −3.87736 11.4876i −0.159900 0.473743i
\(589\) 9.74997 + 8.18120i 0.401741 + 0.337100i
\(590\) −1.69999 4.67068i −0.0699875 0.192289i
\(591\) −11.5032 1.95079i −0.473179 0.0802450i
\(592\) −1.43855 8.15840i −0.0591239 0.335308i
\(593\) 4.71184 0.193492 0.0967461 0.995309i \(-0.469157\pi\)
0.0967461 + 0.995309i \(0.469157\pi\)
\(594\) −8.43087 + 3.25741i −0.345923 + 0.133653i
\(595\) −13.5054 1.38661i −0.553666 0.0568454i
\(596\) 7.31949 1.29062i 0.299818 0.0528660i
\(597\) 1.19341 + 3.21328i 0.0488430 + 0.131511i
\(598\) 3.32991 + 9.14885i 0.136170 + 0.374124i
\(599\) −5.10528 + 6.08423i −0.208596 + 0.248595i −0.860191 0.509972i \(-0.829656\pi\)
0.651595 + 0.758567i \(0.274100\pi\)
\(600\) 0.0275297 + 4.20654i 0.00112389 + 0.171731i
\(601\) 8.27886 22.7460i 0.337702 0.927828i −0.648343 0.761348i \(-0.724538\pi\)
0.986045 0.166480i \(-0.0532401\pi\)
\(602\) −19.5937 + 8.78025i −0.798579 + 0.357856i
\(603\) 27.6249 0.361598i 1.12497 0.0147254i
\(604\) 1.78509 3.09186i 0.0726342 0.125806i
\(605\) −9.79558 + 8.21947i −0.398247 + 0.334169i
\(606\) 3.84182 + 4.51812i 0.156063 + 0.183536i
\(607\) 3.08287 + 0.543592i 0.125130 + 0.0220637i 0.235862 0.971787i \(-0.424209\pi\)
−0.110733 + 0.993850i \(0.535320\pi\)
\(608\) 1.06706 6.05159i 0.0432749 0.245424i
\(609\) −22.2501 32.3584i −0.901618 1.31123i
\(610\) 7.13523 5.98717i 0.288897 0.242413i
\(611\) −23.1366 13.3579i −0.936006 0.540403i
\(612\) −9.59934 + 0.125651i −0.388031 + 0.00507914i
\(613\) −17.6416 30.5562i −0.712538 1.23415i −0.963901 0.266260i \(-0.914212\pi\)
0.251363 0.967893i \(-0.419121\pi\)
\(614\) 12.6009 + 4.58633i 0.508529 + 0.185089i
\(615\) 14.5980 0.0955363i 0.588647 0.00385240i
\(616\) 3.20482 + 3.30274i 0.129126 + 0.133071i
\(617\) 11.3252 + 31.1158i 0.455937 + 1.25268i 0.928484 + 0.371371i \(0.121112\pi\)
−0.472547 + 0.881305i \(0.656665\pi\)
\(618\) 7.14748 2.65457i 0.287514 0.106782i
\(619\) 24.5649 4.33145i 0.987346 0.174096i 0.343419 0.939182i \(-0.388415\pi\)
0.643927 + 0.765087i \(0.277304\pi\)
\(620\) 3.32130i 0.133387i
\(621\) −9.30002 1.45220i −0.373197 0.0582749i
\(622\) 5.09033i 0.204103i
\(623\) −2.24315 31.0057i −0.0898698 1.24222i
\(624\) 9.17806 + 1.55648i 0.367417 + 0.0623090i
\(625\) 6.53832 2.37975i 0.261533 0.0951902i
\(626\) 10.8524 + 9.10627i 0.433750 + 0.363960i
\(627\) 9.36133 + 15.9720i 0.373856 + 0.637860i
\(628\) 0.494016 1.35730i 0.0197134 0.0541621i
\(629\) 13.2550 + 22.9584i 0.528513 + 0.915412i
\(630\) −9.01738 + 8.98215i −0.359261 + 0.357857i
\(631\) 17.2586 29.8928i 0.687056 1.19002i −0.285730 0.958310i \(-0.592236\pi\)
0.972786 0.231705i \(-0.0744305\pi\)
\(632\) 5.61074 + 6.68662i 0.223183 + 0.265979i
\(633\) −5.74579 31.3836i −0.228375 1.24739i
\(634\) 3.16834 17.9686i 0.125831 0.713623i
\(635\) 2.81692 15.9755i 0.111786 0.633969i
\(636\) 1.73540 4.86683i 0.0688130 0.192982i
\(637\) −17.8223 33.1331i −0.706146 1.31278i
\(638\) 12.9088 + 7.45289i 0.511064 + 0.295063i
\(639\) 6.60479 18.9131i 0.261281 0.748192i
\(640\) −1.38870 + 0.801764i −0.0548930 + 0.0316925i
\(641\) 9.50637 26.1185i 0.375479 1.03162i −0.597730 0.801698i \(-0.703930\pi\)
0.973209 0.229923i \(-0.0738474\pi\)
\(642\) 1.14016 2.00501i 0.0449987 0.0791315i
\(643\) 3.29387 3.92549i 0.129898 0.154806i −0.697175 0.716901i \(-0.745560\pi\)
0.827073 + 0.562095i \(0.190004\pi\)
\(644\) 1.17066 + 4.64755i 0.0461303 + 0.183139i
\(645\) 17.3606 + 14.3747i 0.683572 + 0.566003i
\(646\) 3.41465 + 19.3654i 0.134347 + 0.761922i
\(647\) −23.6758 −0.930793 −0.465396 0.885102i \(-0.654088\pi\)
−0.465396 + 0.885102i \(0.654088\pi\)
\(648\) −5.60265 + 7.04346i −0.220093 + 0.276693i
\(649\) 5.39165i 0.211641i
\(650\) 2.26668 + 12.8550i 0.0889067 + 0.504215i
\(651\) −6.76842 + 6.65430i −0.265275 + 0.260803i
\(652\) −18.0997 + 6.58777i −0.708841 + 0.257997i
\(653\) −5.11269 + 6.09307i −0.200075 + 0.238440i −0.856748 0.515735i \(-0.827519\pi\)
0.656673 + 0.754176i \(0.271963\pi\)
\(654\) −15.2956 8.69798i −0.598107 0.340118i
\(655\) −9.52629 3.46729i −0.372223 0.135478i
\(656\) −2.62806 4.55193i −0.102608 0.177723i
\(657\) 23.0865 + 26.7933i 0.900691 + 1.04531i
\(658\) −10.6582 7.70454i −0.415502 0.300354i
\(659\) −15.7090 18.7213i −0.611936 0.729277i 0.367726 0.929934i \(-0.380137\pi\)
−0.979661 + 0.200658i \(0.935692\pi\)
\(660\) 1.62257 4.55041i 0.0631584 0.177124i
\(661\) −26.3966 4.65443i −1.02671 0.181036i −0.365165 0.930943i \(-0.618987\pi\)
−0.661544 + 0.749907i \(0.730098\pi\)
\(662\) −17.0300 3.00284i −0.661888 0.116709i
\(663\) −29.3026 + 5.36480i −1.13802 + 0.208352i
\(664\) −7.97327 9.50217i −0.309423 0.368756i
\(665\) 21.1280 + 15.2728i 0.819309 + 0.592255i
\(666\) 24.5296 + 3.99493i 0.950503 + 0.154800i
\(667\) 7.76166 + 13.4436i 0.300533 + 0.520538i
\(668\) −24.1843 8.80238i −0.935720 0.340574i
\(669\) 14.6566 8.59039i 0.566658 0.332124i
\(670\) −9.49207 + 11.3122i −0.366711 + 0.437029i
\(671\) 9.49438 3.45567i 0.366527 0.133405i
\(672\) 4.41618 + 1.22365i 0.170358 + 0.0472032i
\(673\) 0.328912 + 1.86535i 0.0126786 + 0.0719041i 0.990491 0.137580i \(-0.0439325\pi\)
−0.977812 + 0.209484i \(0.932821\pi\)
\(674\) 22.3792i 0.862016i
\(675\) −11.9413 4.08261i −0.459619 0.157140i
\(676\) 15.8865 0.611019
\(677\) 1.95245 + 11.0729i 0.0750387 + 0.425566i 0.999065 + 0.0432364i \(0.0137669\pi\)
−0.924026 + 0.382329i \(0.875122\pi\)
\(678\) 31.9936 11.8824i 1.22871 0.456340i
\(679\) 10.5094 + 41.7227i 0.403313 + 1.60117i
\(680\) 3.29839 3.93086i 0.126487 0.150742i
\(681\) −37.1640 + 0.243220i −1.42413 + 0.00932021i
\(682\) 1.23222 3.38548i 0.0471840 0.129637i
\(683\) −9.64029 + 5.56582i −0.368875 + 0.212970i −0.672967 0.739672i \(-0.734980\pi\)
0.304092 + 0.952643i \(0.401647\pi\)
\(684\) 16.0843 + 9.00767i 0.614999 + 0.344417i
\(685\) 18.9429 + 10.9367i 0.723773 + 0.417870i
\(686\) −7.06164 17.1211i −0.269615 0.653688i
\(687\) 24.0832 + 28.3228i 0.918833 + 1.08058i
\(688\) 1.40921 7.99200i 0.0537254 0.304692i
\(689\) 2.78416 15.7897i 0.106068 0.601541i
\(690\) 3.83287 3.25914i 0.145915 0.124073i
\(691\) 14.0944 + 16.7970i 0.536176 + 0.638989i 0.964326 0.264718i \(-0.0852790\pi\)
−0.428150 + 0.903708i \(0.640835\pi\)
\(692\) −4.00231 + 6.93220i −0.152145 + 0.263523i
\(693\) −12.5240 + 5.81024i −0.475749 + 0.220713i
\(694\) −6.30894 10.9274i −0.239484 0.414799i
\(695\) −8.72446 + 23.9703i −0.330938 + 0.909244i
\(696\) 14.8424 0.0971357i 0.562598 0.00368192i
\(697\) 12.8848 + 10.8116i 0.488045 + 0.409518i
\(698\) 31.0239 11.2918i 1.17427 0.427400i
\(699\) −9.44700 25.4362i −0.357318 0.962086i
\(700\) 0.463665 + 6.40898i 0.0175249 + 0.242237i
\(701\) 15.5108i 0.585834i −0.956138 0.292917i \(-0.905374\pi\)
0.956138 0.292917i \(-0.0946260\pi\)
\(702\) −13.4862 + 24.4552i −0.509002 + 0.923004i
\(703\) 50.9063i 1.91997i
\(704\) −1.71299 + 0.302046i −0.0645607 + 0.0113838i
\(705\) −2.30831 + 13.6114i −0.0869359 + 0.512634i
\(706\) 9.09782 + 24.9960i 0.342401 + 0.940738i
\(707\) 6.30877 + 6.50153i 0.237266 + 0.244515i
\(708\) −2.71478 4.63187i −0.102028 0.174076i
\(709\) −16.5983 6.04129i −0.623362 0.226885i 0.0109773 0.999940i \(-0.496506\pi\)
−0.634340 + 0.773054i \(0.718728\pi\)
\(710\) 5.35397 + 9.27335i 0.200931 + 0.348023i
\(711\) −24.4877 + 9.27754i −0.918362 + 0.347935i
\(712\) 10.1755 + 5.87485i 0.381344 + 0.220169i
\(713\) 2.87421 2.41175i 0.107640 0.0903208i
\(714\) −14.6190 + 1.15385i −0.547104 + 0.0431818i
\(715\) 2.60314 14.7631i 0.0973519 0.552110i
\(716\) −3.57605 0.630553i −0.133643 0.0235649i
\(717\) −5.31294 + 14.8999i −0.198415 + 0.556445i
\(718\) 21.6008 18.1252i 0.806136 0.676428i
\(719\) −23.5227 + 40.7425i −0.877247 + 1.51944i −0.0228981 + 0.999738i \(0.507289\pi\)
−0.854349 + 0.519699i \(0.826044\pi\)
\(720\) −0.897284 4.72616i −0.0334398 0.176134i
\(721\) 10.6283 4.76271i 0.395819 0.177373i
\(722\) 6.41641 17.6289i 0.238794 0.656081i
\(723\) 13.8667 + 7.88540i 0.515708 + 0.293261i
\(724\) −1.60743 + 1.91566i −0.0597398 + 0.0711951i
\(725\) 7.11831 + 19.5574i 0.264367 + 0.726343i
\(726\) −8.80883 + 10.6386i −0.326926 + 0.394835i
\(727\) −38.6709 + 6.81873i −1.43423 + 0.252893i −0.836130 0.548532i \(-0.815187\pi\)
−0.598096 + 0.801424i \(0.704076\pi\)
\(728\) 14.1455 + 1.45234i 0.524268 + 0.0538272i
\(729\) −14.4075 22.8347i −0.533612 0.845730i
\(730\) −18.9043 −0.699680
\(731\) 4.50953 + 25.5748i 0.166791 + 0.945920i
\(732\) 6.41647 7.74928i 0.237159 0.286422i
\(733\) 5.69843 + 15.6563i 0.210476 + 0.578279i 0.999341 0.0362876i \(-0.0115532\pi\)
−0.788865 + 0.614566i \(0.789331\pi\)
\(734\) 2.92692 + 2.45598i 0.108035 + 0.0906519i
\(735\) −12.8441 + 14.5949i −0.473762 + 0.538340i
\(736\) −1.70223 0.619562i −0.0627452 0.0228374i
\(737\) −13.8724 + 8.00922i −0.510996 + 0.295023i
\(738\) 15.4916 2.94116i 0.570254 0.108265i
\(739\) −22.0028 + 38.1099i −0.809384 + 1.40189i 0.103907 + 0.994587i \(0.466866\pi\)
−0.913291 + 0.407308i \(0.866468\pi\)
\(740\) −10.1762 + 8.53882i −0.374083 + 0.313893i
\(741\) 53.8810 + 19.2127i 1.97937 + 0.705796i
\(742\) 2.15725 7.59216i 0.0791952 0.278717i
\(743\) 5.04480 + 0.889535i 0.185076 + 0.0326339i 0.265418 0.964133i \(-0.414490\pi\)
−0.0803419 + 0.996767i \(0.525601\pi\)
\(744\) −0.646071 3.52885i −0.0236861 0.129374i
\(745\) −7.66079 9.12978i −0.280670 0.334489i
\(746\) 17.0915 + 9.86780i 0.625765 + 0.361286i
\(747\) 34.7988 13.1841i 1.27322 0.482379i
\(748\) 4.82049 2.78311i 0.176255 0.101761i
\(749\) 1.53687 3.17040i 0.0561561 0.115844i
\(750\) 17.8003 10.4329i 0.649975 0.380956i
\(751\) −16.3130 13.6882i −0.595268 0.499490i 0.294652 0.955605i \(-0.404796\pi\)
−0.889921 + 0.456115i \(0.849241\pi\)
\(752\) 4.67097 1.70009i 0.170333 0.0619961i
\(753\) 6.35770 37.4893i 0.231687 1.36619i
\(754\) 45.3576 7.99777i 1.65183 0.291262i
\(755\) −5.72488 −0.208350
\(756\) −7.83363 + 11.2975i −0.284906 + 0.410887i
\(757\) −17.3360 −0.630089 −0.315045 0.949077i \(-0.602020\pi\)
−0.315045 + 0.949077i \(0.602020\pi\)
\(758\) 0.148405 0.0261677i 0.00539030 0.000950455i
\(759\) 5.11609 1.90011i 0.185702 0.0689697i
\(760\) −9.25934 + 3.37013i −0.335872 + 0.122247i
\(761\) 23.0654 + 19.3541i 0.836119 + 0.701587i 0.956687 0.291118i \(-0.0940273\pi\)
−0.120568 + 0.992705i \(0.538472\pi\)
\(762\) −0.114671 17.5218i −0.00415410 0.634747i
\(763\) −24.1861 11.7244i −0.875595 0.424450i
\(764\) 11.5998 6.69714i 0.419665 0.242294i
\(765\) 7.87090 + 13.2298i 0.284573 + 0.478325i
\(766\) 31.0588 + 17.9318i 1.12220 + 0.647902i
\(767\) −10.7086 12.7620i −0.386665 0.460810i
\(768\) −1.31951 + 1.12200i −0.0476138 + 0.0404867i
\(769\) 26.5452 + 4.68063i 0.957243 + 0.168788i