Properties

Label 378.2.z.a.41.18
Level $378$
Weight $2$
Character 378.41
Analytic conductor $3.018$
Analytic rank $0$
Dimension $144$
CM no
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 41.18
Character \(\chi\) \(=\) 378.41
Dual form 378.2.z.a.83.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-0.0750633 - 1.73042i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-2.14704 - 1.80158i) q^{5} +(-0.374408 - 1.69110i) q^{6} +(2.53928 + 0.743006i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.98873 + 0.259783i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-0.0750633 - 1.73042i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-2.14704 - 1.80158i) q^{5} +(-0.374408 - 1.69110i) q^{6} +(2.53928 + 0.743006i) q^{7} +(0.866025 - 0.500000i) q^{8} +(-2.98873 + 0.259783i) q^{9} +(-2.42726 - 1.40138i) q^{10} +(-3.45351 - 4.11574i) q^{11} +(-0.662376 - 1.60039i) q^{12} +(2.86511 + 0.505196i) q^{13} +(2.62972 + 0.290777i) q^{14} +(-2.95633 + 3.85051i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.473965 + 0.820932i) q^{17} +(-2.89821 + 0.774824i) q^{18} +(-0.211551 + 0.122139i) q^{19} +(-2.63373 - 0.958599i) q^{20} +(1.09511 - 4.44980i) q^{21} +(-4.11574 - 3.45351i) q^{22} +(0.103339 + 0.283921i) q^{23} +(-0.930218 - 1.46106i) q^{24} +(0.495843 + 2.81206i) q^{25} +2.90931 q^{26} +(0.673878 + 5.15227i) q^{27} +(2.64027 - 0.170287i) q^{28} +(6.17949 - 1.08961i) q^{29} +(-2.24278 + 4.30538i) q^{30} +(-1.27129 - 3.49284i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-6.86274 + 6.28498i) q^{33} +(-0.324211 + 0.890763i) q^{34} +(-4.11334 - 6.16997i) q^{35} +(-2.71964 + 1.26632i) q^{36} +(-2.84955 + 4.93556i) q^{37} +(-0.187127 + 0.157019i) q^{38} +(0.659138 - 4.99577i) q^{39} +(-2.76018 - 0.486694i) q^{40} +(-0.505122 + 2.86469i) q^{41} +(0.305771 - 4.57236i) q^{42} +(7.36730 - 6.18190i) q^{43} +(-4.65291 - 2.68636i) q^{44} +(6.88493 + 4.82667i) q^{45} +(0.151071 + 0.261663i) q^{46} +(12.6003 + 4.58613i) q^{47} +(-1.16980 - 1.27733i) q^{48} +(5.89588 + 3.77340i) q^{49} +(0.976619 + 2.68324i) q^{50} +(1.45614 + 0.758539i) q^{51} +(2.86511 - 0.505196i) q^{52} +1.40916i q^{53} +(1.55832 + 4.95698i) q^{54} +15.0584i q^{55} +(2.57058 - 0.626178i) q^{56} +(0.227231 + 0.356904i) q^{57} +(5.89640 - 2.14612i) q^{58} +(8.84872 + 7.42496i) q^{59} +(-1.46109 + 4.62942i) q^{60} +(4.43433 - 12.1832i) q^{61} +(-1.85850 - 3.21902i) q^{62} +(-7.78224 - 1.56098i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-5.24134 - 6.24639i) q^{65} +(-5.66710 + 7.38120i) q^{66} +(-0.239571 + 1.35868i) q^{67} +(-0.164606 + 0.933529i) q^{68} +(0.483547 - 0.200132i) q^{69} +(-5.12226 - 5.36196i) q^{70} +(-3.49176 - 2.01597i) q^{71} +(-2.45843 + 1.71934i) q^{72} +(-11.8393 + 6.83540i) q^{73} +(-1.94920 + 5.35539i) q^{74} +(4.82884 - 1.06910i) q^{75} +(-0.157019 + 0.187127i) q^{76} +(-5.71142 - 13.0170i) q^{77} +(-0.218382 - 5.03433i) q^{78} +(1.23285 + 6.99182i) q^{79} -2.80276 q^{80} +(8.86503 - 1.55284i) q^{81} +2.90888i q^{82} +(2.12140 + 12.0310i) q^{83} +(-0.492857 - 4.55600i) q^{84} +(2.49659 - 0.908686i) q^{85} +(6.18190 - 7.36730i) q^{86} +(-2.34934 - 10.6114i) q^{87} +(-5.04870 - 1.83758i) q^{88} +(-7.16195 - 12.4049i) q^{89} +(7.61848 + 3.55778i) q^{90} +(6.89995 + 3.41163i) q^{91} +(0.194214 + 0.231455i) q^{92} +(-5.94867 + 2.46206i) q^{93} +(13.2052 + 2.32844i) q^{94} +(0.674249 + 0.118888i) q^{95} +(-1.37383 - 1.05479i) q^{96} +(2.31776 + 2.76220i) q^{97} +(6.46156 + 2.69226i) q^{98} +(11.3908 + 11.4037i) 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
\(3\) −0.0750633 1.73042i −0.0433378 0.999060i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −2.14704 1.80158i −0.960184 0.805690i 0.0207992 0.999784i \(-0.493379\pi\)
−0.980983 + 0.194094i \(0.937823\pi\)
\(6\) −0.374408 1.69110i −0.152851 0.690389i
\(7\) 2.53928 + 0.743006i 0.959758 + 0.280830i
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) −2.98873 + 0.259783i −0.996244 + 0.0865942i
\(10\) −2.42726 1.40138i −0.767566 0.443155i
\(11\) −3.45351 4.11574i −1.04127 1.24094i −0.969903 0.243492i \(-0.921707\pi\)
−0.0713711 0.997450i \(-0.522737\pi\)
\(12\) −0.662376 1.60039i −0.191212 0.461994i
\(13\) 2.86511 + 0.505196i 0.794638 + 0.140116i 0.556207 0.831044i \(-0.312256\pi\)
0.238430 + 0.971160i \(0.423367\pi\)
\(14\) 2.62972 + 0.290777i 0.702823 + 0.0777134i
\(15\) −2.95633 + 3.85051i −0.763321 + 0.994198i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.473965 + 0.820932i −0.114953 + 0.199105i −0.917761 0.397133i \(-0.870005\pi\)
0.802808 + 0.596238i \(0.203339\pi\)
\(18\) −2.89821 + 0.774824i −0.683116 + 0.182628i
\(19\) −0.211551 + 0.122139i −0.0485330 + 0.0280206i −0.524070 0.851675i \(-0.675587\pi\)
0.475537 + 0.879696i \(0.342254\pi\)
\(20\) −2.63373 0.958599i −0.588920 0.214349i
\(21\) 1.09511 4.44980i 0.238972 0.971026i
\(22\) −4.11574 3.45351i −0.877478 0.736292i
\(23\) 0.103339 + 0.283921i 0.0215476 + 0.0592017i 0.950000 0.312250i \(-0.101083\pi\)
−0.928452 + 0.371451i \(0.878860\pi\)
\(24\) −0.930218 1.46106i −0.189880 0.298237i
\(25\) 0.495843 + 2.81206i 0.0991685 + 0.562413i
\(26\) 2.90931 0.570562
\(27\) 0.673878 + 5.15227i 0.129688 + 0.991555i
\(28\) 2.64027 0.170287i 0.498963 0.0321813i
\(29\) 6.17949 1.08961i 1.14750 0.202336i 0.432618 0.901577i \(-0.357590\pi\)
0.714885 + 0.699242i \(0.246479\pi\)
\(30\) −2.24278 + 4.30538i −0.409474 + 0.786051i
\(31\) −1.27129 3.49284i −0.228331 0.627333i 0.771631 0.636070i \(-0.219441\pi\)
−0.999962 + 0.00873703i \(0.997219\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −6.86274 + 6.28498i −1.19465 + 1.09408i
\(34\) −0.324211 + 0.890763i −0.0556018 + 0.152765i
\(35\) −4.11334 6.16997i −0.695282 1.04292i
\(36\) −2.71964 + 1.26632i −0.453273 + 0.211054i
\(37\) −2.84955 + 4.93556i −0.468462 + 0.811401i −0.999350 0.0360414i \(-0.988525\pi\)
0.530888 + 0.847442i \(0.321859\pi\)
\(38\) −0.187127 + 0.157019i −0.0303561 + 0.0254718i
\(39\) 0.659138 4.99577i 0.105547 0.799964i
\(40\) −2.76018 0.486694i −0.436422 0.0769530i
\(41\) −0.505122 + 2.86469i −0.0788868 + 0.447389i 0.919622 + 0.392804i \(0.128495\pi\)
−0.998509 + 0.0545856i \(0.982616\pi\)
\(42\) 0.305771 4.57236i 0.0471815 0.705531i
\(43\) 7.36730 6.18190i 1.12350 0.942731i 0.124727 0.992191i \(-0.460194\pi\)
0.998776 + 0.0494600i \(0.0157500\pi\)
\(44\) −4.65291 2.68636i −0.701452 0.404984i
\(45\) 6.88493 + 4.82667i 1.02635 + 0.719517i
\(46\) 0.151071 + 0.261663i 0.0222743 + 0.0385801i
\(47\) 12.6003 + 4.58613i 1.83794 + 0.668956i 0.990401 + 0.138222i \(0.0441388\pi\)
0.847539 + 0.530733i \(0.178083\pi\)
\(48\) −1.16980 1.27733i −0.168846 0.184367i
\(49\) 5.89588 + 3.77340i 0.842269 + 0.539057i
\(50\) 0.976619 + 2.68324i 0.138115 + 0.379467i
\(51\) 1.45614 + 0.758539i 0.203900 + 0.106217i
\(52\) 2.86511 0.505196i 0.397319 0.0700580i
\(53\) 1.40916i 0.193563i 0.995306 + 0.0967815i \(0.0308548\pi\)
−0.995306 + 0.0967815i \(0.969145\pi\)
\(54\) 1.55832 + 4.95698i 0.212061 + 0.674559i
\(55\) 15.0584i 2.03048i
\(56\) 2.57058 0.626178i 0.343509 0.0836765i
\(57\) 0.227231 + 0.356904i 0.0300975 + 0.0472731i
\(58\) 5.89640 2.14612i 0.774236 0.281799i
\(59\) 8.84872 + 7.42496i 1.15200 + 0.966647i 0.999765 0.0216967i \(-0.00690681\pi\)
0.152240 + 0.988344i \(0.451351\pi\)
\(60\) −1.46109 + 4.62942i −0.188625 + 0.597656i
\(61\) 4.43433 12.1832i 0.567758 1.55990i −0.240238 0.970714i \(-0.577225\pi\)
0.807996 0.589188i \(-0.200552\pi\)
\(62\) −1.85850 3.21902i −0.236030 0.408816i
\(63\) −7.78224 1.56098i −0.980471 0.196666i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −5.24134 6.24639i −0.650108 0.774769i
\(66\) −5.66710 + 7.38120i −0.697572 + 0.908563i
\(67\) −0.239571 + 1.35868i −0.0292683 + 0.165989i −0.995939 0.0900361i \(-0.971302\pi\)
0.966670 + 0.256025i \(0.0824129\pi\)
\(68\) −0.164606 + 0.933529i −0.0199615 + 0.113207i
\(69\) 0.483547 0.200132i 0.0582122 0.0240931i
\(70\) −5.12226 5.36196i −0.612227 0.640877i
\(71\) −3.49176 2.01597i −0.414395 0.239251i 0.278281 0.960500i \(-0.410235\pi\)
−0.692676 + 0.721248i \(0.743569\pi\)
\(72\) −2.45843 + 1.71934i −0.289728 + 0.202627i
\(73\) −11.8393 + 6.83540i −1.38568 + 0.800023i −0.992825 0.119577i \(-0.961846\pi\)
−0.392855 + 0.919600i \(0.628513\pi\)
\(74\) −1.94920 + 5.35539i −0.226590 + 0.622552i
\(75\) 4.82884 1.06910i 0.557587 0.123449i
\(76\) −0.157019 + 0.187127i −0.0180113 + 0.0214650i
\(77\) −5.71142 13.0170i −0.650877 1.48342i
\(78\) −0.218382 5.03433i −0.0247269 0.570026i
\(79\) 1.23285 + 6.99182i 0.138706 + 0.786641i 0.972207 + 0.234123i \(0.0752218\pi\)
−0.833501 + 0.552518i \(0.813667\pi\)
\(80\) −2.80276 −0.313358
\(81\) 8.86503 1.55284i 0.985003 0.172538i
\(82\) 2.90888i 0.321232i
\(83\) 2.12140 + 12.0310i 0.232854 + 1.32058i 0.847087 + 0.531454i \(0.178354\pi\)
−0.614234 + 0.789124i \(0.710535\pi\)
\(84\) −0.492857 4.55600i −0.0537751 0.497100i
\(85\) 2.49659 0.908686i 0.270794 0.0985608i
\(86\) 6.18190 7.36730i 0.666612 0.794437i
\(87\) −2.34934 10.6114i −0.251876 1.13766i
\(88\) −5.04870 1.83758i −0.538193 0.195886i
\(89\) −7.16195 12.4049i −0.759165 1.31491i −0.943277 0.332007i \(-0.892274\pi\)
0.184112 0.982905i \(-0.441059\pi\)
\(90\) 7.61848 + 3.55778i 0.803058 + 0.375023i
\(91\) 6.89995 + 3.41163i 0.723311 + 0.357636i
\(92\) 0.194214 + 0.231455i 0.0202482 + 0.0241308i
\(93\) −5.94867 + 2.46206i −0.616848 + 0.255303i
\(94\) 13.2052 + 2.32844i 1.36202 + 0.240160i
\(95\) 0.674249 + 0.118888i 0.0691765 + 0.0121977i
\(96\) −1.37383 1.05479i −0.140216 0.107654i
\(97\) 2.31776 + 2.76220i 0.235333 + 0.280459i 0.870767 0.491697i \(-0.163623\pi\)
−0.635434 + 0.772156i \(0.719179\pi\)
\(98\) 6.46156 + 2.69226i 0.652716 + 0.271960i
\(99\) 11.3908 + 11.4037i 1.14482 + 1.14611i
\(100\) 1.42772 + 2.47289i 0.142772 + 0.247289i
\(101\) −8.24231 2.99996i −0.820141 0.298507i −0.102335 0.994750i \(-0.532631\pi\)
−0.717806 + 0.696243i \(0.754853\pi\)
\(102\) 1.56573 + 0.494159i 0.155031 + 0.0489291i
\(103\) −1.56891 + 1.86975i −0.154589 + 0.184232i −0.837780 0.546007i \(-0.816147\pi\)
0.683191 + 0.730239i \(0.260591\pi\)
\(104\) 2.73385 0.995041i 0.268076 0.0975718i
\(105\) −10.3679 + 7.58096i −1.01180 + 0.739826i
\(106\) 0.244698 + 1.38775i 0.0237672 + 0.134790i
\(107\) 12.8021i 1.23762i −0.785539 0.618812i \(-0.787614\pi\)
0.785539 0.618812i \(-0.212386\pi\)
\(108\) 2.39542 + 4.61107i 0.230499 + 0.443700i
\(109\) 1.51794 0.145392 0.0726962 0.997354i \(-0.476840\pi\)
0.0726962 + 0.997354i \(0.476840\pi\)
\(110\) 2.61487 + 14.8296i 0.249318 + 1.41395i
\(111\) 8.75450 + 4.56044i 0.830941 + 0.432858i
\(112\) 2.42280 1.06304i 0.228933 0.100448i
\(113\) −8.80621 + 10.4948i −0.828419 + 0.987271i 0.171579 + 0.985170i \(0.445113\pi\)
−0.999998 + 0.00210074i \(0.999331\pi\)
\(114\) 0.285755 + 0.312023i 0.0267634 + 0.0292237i
\(115\) 0.289634 0.795762i 0.0270085 0.0742052i
\(116\) 5.43416 3.13741i 0.504549 0.291301i
\(117\) −8.69428 0.765589i −0.803786 0.0707787i
\(118\) 10.0036 + 5.77559i 0.920907 + 0.531686i
\(119\) −1.81349 + 1.73242i −0.166242 + 0.158810i
\(120\) −0.634998 + 4.81281i −0.0579671 + 0.439347i
\(121\) −3.10241 + 17.5946i −0.282037 + 1.59951i
\(122\) 2.25137 12.7682i 0.203829 1.15597i
\(123\) 4.99504 + 0.659042i 0.450388 + 0.0594238i
\(124\) −2.38925 2.84739i −0.214561 0.255703i
\(125\) −3.00533 + 5.20539i −0.268805 + 0.465584i
\(126\) −7.93508 0.185897i −0.706913 0.0165610i
\(127\) 2.22327 + 3.85081i 0.197283 + 0.341704i 0.947647 0.319321i \(-0.103455\pi\)
−0.750363 + 0.661025i \(0.770122\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −11.2503 12.2845i −0.990536 1.08159i
\(130\) −6.24639 5.24134i −0.547844 0.459696i
\(131\) 9.14073 3.32695i 0.798629 0.290677i 0.0897109 0.995968i \(-0.471406\pi\)
0.708918 + 0.705291i \(0.249183\pi\)
\(132\) −4.29927 + 8.25315i −0.374204 + 0.718344i
\(133\) −0.627936 + 0.152961i −0.0544489 + 0.0132634i
\(134\) 1.37964i 0.119182i
\(135\) 7.83537 12.2762i 0.674361 1.05656i
\(136\) 0.947931i 0.0812844i
\(137\) −11.4023 + 2.01053i −0.974164 + 0.171771i −0.638004 0.770033i \(-0.720239\pi\)
−0.336160 + 0.941805i \(0.609128\pi\)
\(138\) 0.441448 0.281059i 0.0375786 0.0239253i
\(139\) 1.04944 + 2.88331i 0.0890122 + 0.244559i 0.976209 0.216833i \(-0.0695726\pi\)
−0.887197 + 0.461392i \(0.847350\pi\)
\(140\) −5.97553 4.39103i −0.505025 0.371110i
\(141\) 6.99012 22.1481i 0.588675 1.86520i
\(142\) −3.78878 1.37900i −0.317947 0.115723i
\(143\) −7.81544 13.5367i −0.653560 1.13200i
\(144\) −2.12252 + 2.12012i −0.176876 + 0.176677i
\(145\) −15.2306 8.79340i −1.26483 0.730252i
\(146\) −10.4724 + 8.78742i −0.866705 + 0.727252i
\(147\) 6.08702 10.4856i 0.502049 0.864839i
\(148\) −0.989637 + 5.61251i −0.0813476 + 0.461345i
\(149\) −14.8804 2.62382i −1.21905 0.214952i −0.473135 0.880990i \(-0.656878\pi\)
−0.745918 + 0.666038i \(0.767989\pi\)
\(150\) 4.56983 1.89138i 0.373125 0.154430i
\(151\) −14.2791 + 11.9816i −1.16202 + 0.975049i −0.999931 0.0117270i \(-0.996267\pi\)
−0.162087 + 0.986776i \(0.551823\pi\)
\(152\) −0.122139 + 0.211551i −0.00990676 + 0.0171590i
\(153\) 1.20329 2.57667i 0.0972803 0.208312i
\(154\) −7.88503 11.8275i −0.635394 0.953084i
\(155\) −3.56312 + 9.78959i −0.286197 + 0.786319i
\(156\) −1.08927 4.91993i −0.0872112 0.393909i
\(157\) 14.0831 16.7835i 1.12395 1.33947i 0.190117 0.981761i \(-0.439113\pi\)
0.933833 0.357710i \(-0.116442\pi\)
\(158\) 2.42823 + 6.67151i 0.193180 + 0.530757i
\(159\) 2.43844 0.105776i 0.193381 0.00838860i
\(160\) −2.76018 + 0.486694i −0.218211 + 0.0384765i
\(161\) 0.0514511 + 0.797737i 0.00405492 + 0.0628705i
\(162\) 8.46070 3.06865i 0.664735 0.241096i
\(163\) 4.24081 0.332166 0.166083 0.986112i \(-0.446888\pi\)
0.166083 + 0.986112i \(0.446888\pi\)
\(164\) 0.505122 + 2.86469i 0.0394434 + 0.223695i
\(165\) 26.0574 1.13033i 2.02857 0.0879964i
\(166\) 4.17834 + 11.4799i 0.324302 + 0.891012i
\(167\) 0.608984 + 0.510998i 0.0471246 + 0.0395422i 0.666046 0.745911i \(-0.267986\pi\)
−0.618921 + 0.785453i \(0.712430\pi\)
\(168\) −1.27651 4.40120i −0.0984848 0.339560i
\(169\) −4.26239 1.55138i −0.327876 0.119337i
\(170\) 2.30087 1.32841i 0.176469 0.101884i
\(171\) 0.600538 0.419997i 0.0459243 0.0321180i
\(172\) 4.80867 8.32885i 0.366657 0.635069i
\(173\) −6.23129 + 5.22867i −0.473756 + 0.397529i −0.848163 0.529736i \(-0.822291\pi\)
0.374406 + 0.927265i \(0.377847\pi\)
\(174\) −4.15629 10.0422i −0.315088 0.761296i
\(175\) −0.830297 + 7.50903i −0.0627646 + 0.567629i
\(176\) −5.29109 0.932962i −0.398831 0.0703247i
\(177\) 12.1841 15.8694i 0.915813 1.19281i
\(178\) −9.20722 10.9727i −0.690110 0.822442i
\(179\) 12.4107 + 7.16534i 0.927622 + 0.535563i 0.886059 0.463573i \(-0.153433\pi\)
0.0415635 + 0.999136i \(0.486766\pi\)
\(180\) 8.12054 + 2.18080i 0.605269 + 0.162547i
\(181\) −21.2822 + 12.2873i −1.58189 + 0.913306i −0.587310 + 0.809362i \(0.699813\pi\)
−0.994583 + 0.103944i \(0.966854\pi\)
\(182\) 7.38754 + 2.16163i 0.547601 + 0.160231i
\(183\) −21.4150 6.75876i −1.58304 0.499622i
\(184\) 0.231455 + 0.194214i 0.0170631 + 0.0143176i
\(185\) 15.0099 5.46314i 1.10355 0.401658i
\(186\) −5.43076 + 3.45763i −0.398203 + 0.253526i
\(187\) 5.01559 0.884384i 0.366776 0.0646725i
\(188\) 13.4089 0.977948
\(189\) −2.11700 + 13.5838i −0.153989 + 0.988073i
\(190\) 0.684650 0.0496698
\(191\) 11.5001 2.02778i 0.832117 0.146725i 0.258669 0.965966i \(-0.416716\pi\)
0.573449 + 0.819241i \(0.305605\pi\)
\(192\) −1.53612 0.800205i −0.110860 0.0577498i
\(193\) 12.3582 4.49803i 0.889565 0.323775i 0.143502 0.989650i \(-0.454164\pi\)
0.746063 + 0.665875i \(0.231942\pi\)
\(194\) 2.76220 + 2.31776i 0.198314 + 0.166406i
\(195\) −10.4155 + 9.53861i −0.745867 + 0.683074i
\(196\) 6.83090 + 1.52933i 0.487921 + 0.109238i
\(197\) −4.95847 + 2.86277i −0.353276 + 0.203964i −0.666127 0.745838i \(-0.732049\pi\)
0.312851 + 0.949802i \(0.398716\pi\)
\(198\) 13.1980 + 9.25243i 0.937941 + 0.657542i
\(199\) −15.9473 9.20720i −1.13048 0.652681i −0.186422 0.982470i \(-0.559689\pi\)
−0.944055 + 0.329789i \(0.893022\pi\)
\(200\) 1.83544 + 2.18740i 0.129785 + 0.154672i
\(201\) 2.36907 + 0.312573i 0.167101 + 0.0220472i
\(202\) −8.63803 1.52312i −0.607770 0.107166i
\(203\) 16.5011 + 1.82457i 1.15815 + 0.128060i
\(204\) 1.62776 + 0.214765i 0.113966 + 0.0150366i
\(205\) 6.24548 5.24058i 0.436203 0.366018i
\(206\) −1.22039 + 2.11378i −0.0850288 + 0.147274i
\(207\) −0.382610 0.821719i −0.0265932 0.0571134i
\(208\) 2.51953 1.45465i 0.174698 0.100862i
\(209\) 1.23328 + 0.448879i 0.0853080 + 0.0310496i
\(210\) −8.89397 + 9.26616i −0.613742 + 0.639426i
\(211\) −20.8913 17.5298i −1.43821 1.20680i −0.940651 0.339376i \(-0.889784\pi\)
−0.497563 0.867428i \(-0.665772\pi\)
\(212\) 0.481961 + 1.32418i 0.0331012 + 0.0909449i
\(213\) −3.22637 + 6.19354i −0.221067 + 0.424374i
\(214\) −2.22306 12.6076i −0.151965 0.861838i
\(215\) −26.9550 −1.83832
\(216\) 3.15973 + 4.12506i 0.214992 + 0.280675i
\(217\) −0.632960 9.81388i −0.0429681 0.666210i
\(218\) 1.49488 0.263588i 0.101246 0.0178524i
\(219\) 12.7168 + 19.9738i 0.859324 + 1.34971i
\(220\) 5.15028 + 14.1503i 0.347232 + 0.954012i
\(221\) −1.77269 + 2.11261i −0.119244 + 0.142110i
\(222\) 9.41341 + 2.97095i 0.631787 + 0.199397i
\(223\) 8.35687 22.9603i 0.559618 1.53754i −0.260577 0.965453i \(-0.583913\pi\)
0.820195 0.572084i \(-0.193865\pi\)
\(224\) 2.20139 1.46761i 0.147087 0.0980586i
\(225\) −2.21247 8.27569i −0.147498 0.551713i
\(226\) −6.85002 + 11.8646i −0.455656 + 0.789220i
\(227\) 12.6126 10.5833i 0.837130 0.702436i −0.119786 0.992800i \(-0.538221\pi\)
0.956916 + 0.290364i \(0.0937763\pi\)
\(228\) 0.335596 + 0.257662i 0.0222254 + 0.0170641i
\(229\) 11.0698 + 1.95190i 0.731510 + 0.128985i 0.526983 0.849876i \(-0.323323\pi\)
0.204527 + 0.978861i \(0.434434\pi\)
\(230\) 0.147051 0.833967i 0.00969625 0.0549902i
\(231\) −22.0962 + 10.8603i −1.45382 + 0.714554i
\(232\) 4.80679 4.03338i 0.315581 0.264804i
\(233\) 1.79517 + 1.03644i 0.117605 + 0.0678996i 0.557649 0.830077i \(-0.311704\pi\)
−0.440043 + 0.897977i \(0.645037\pi\)
\(234\) −8.69513 + 0.755787i −0.568419 + 0.0494074i
\(235\) −18.7910 32.5470i −1.22579 2.12313i
\(236\) 10.8546 + 3.95074i 0.706572 + 0.257171i
\(237\) 12.0063 2.65817i 0.779891 0.172667i
\(238\) −1.48511 + 2.02101i −0.0962651 + 0.131002i
\(239\) 4.84561 + 13.3132i 0.313437 + 0.861160i 0.991957 + 0.126578i \(0.0403994\pi\)
−0.678520 + 0.734582i \(0.737378\pi\)
\(240\) 0.210384 + 4.84996i 0.0135802 + 0.313063i
\(241\) 1.02110 0.180047i 0.0657746 0.0115978i −0.140664 0.990057i \(-0.544924\pi\)
0.206439 + 0.978460i \(0.433813\pi\)
\(242\) 17.8661i 1.14847i
\(243\) −3.35251 15.2237i −0.215064 0.976600i
\(244\) 12.9651i 0.830007i
\(245\) −5.86060 18.7235i −0.374420 1.19620i
\(246\) 5.03360 0.218350i 0.320931 0.0139215i
\(247\) −0.667819 + 0.243066i −0.0424923 + 0.0154659i
\(248\) −2.84739 2.38925i −0.180810 0.151717i
\(249\) 20.6596 4.57401i 1.30925 0.289866i
\(250\) −2.05577 + 5.64818i −0.130018 + 0.357222i
\(251\) 4.27148 + 7.39842i 0.269614 + 0.466984i 0.968762 0.247992i \(-0.0797707\pi\)
−0.699148 + 0.714976i \(0.746437\pi\)
\(252\) −7.84681 + 1.19484i −0.494302 + 0.0752678i
\(253\) 0.811663 1.40584i 0.0510288 0.0883845i
\(254\) 2.85818 + 3.40624i 0.179338 + 0.213727i
\(255\) −1.75981 4.25195i −0.110204 0.266268i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 3.98557 22.6033i 0.248613 1.40995i −0.563337 0.826227i \(-0.690483\pi\)
0.811950 0.583727i \(-0.198406\pi\)
\(258\) −13.2126 10.1443i −0.822580 0.631556i
\(259\) −10.9029 + 10.4155i −0.677476 + 0.647190i
\(260\) −7.06164 4.07704i −0.437944 0.252847i
\(261\) −18.1858 + 4.86188i −1.12567 + 0.300943i
\(262\) 8.42414 4.86368i 0.520445 0.300479i
\(263\) −7.88878 + 21.6742i −0.486443 + 1.33649i 0.417437 + 0.908706i \(0.362928\pi\)
−0.903880 + 0.427786i \(0.859294\pi\)
\(264\) −2.80081 + 8.87433i −0.172378 + 0.546177i
\(265\) 2.53871 3.02552i 0.155952 0.185856i
\(266\) −0.591835 + 0.259677i −0.0362877 + 0.0159218i
\(267\) −20.9281 + 13.3244i −1.28078 + 0.815437i
\(268\) 0.239571 + 1.35868i 0.0146341 + 0.0829944i
\(269\) −21.7007 −1.32312 −0.661559 0.749893i \(-0.730105\pi\)
−0.661559 + 0.749893i \(0.730105\pi\)
\(270\) 5.58460 13.4502i 0.339868 0.818556i
\(271\) 9.94757i 0.604272i 0.953265 + 0.302136i \(0.0976996\pi\)
−0.953265 + 0.302136i \(0.902300\pi\)
\(272\) 0.164606 + 0.933529i 0.00998073 + 0.0566035i
\(273\) 5.38562 12.1959i 0.325953 0.738130i
\(274\) −10.8799 + 3.95998i −0.657281 + 0.239231i
\(275\) 9.86132 11.7523i 0.594660 0.708688i
\(276\) 0.385936 0.353445i 0.0232306 0.0212749i
\(277\) −9.20585 3.35066i −0.553126 0.201321i 0.0503089 0.998734i \(-0.483979\pi\)
−0.603435 + 0.797412i \(0.706202\pi\)
\(278\) 1.53418 + 2.65727i 0.0920138 + 0.159373i
\(279\) 4.70693 + 10.1089i 0.281796 + 0.605205i
\(280\) −6.64724 3.28668i −0.397249 0.196417i
\(281\) 13.3280 + 15.8837i 0.795083 + 0.947543i 0.999509 0.0313394i \(-0.00997726\pi\)
−0.204426 + 0.978882i \(0.565533\pi\)
\(282\) 3.03796 23.0254i 0.180908 1.37114i
\(283\) −0.0941297 0.0165976i −0.00559543 0.000986625i 0.170850 0.985297i \(-0.445349\pi\)
−0.176445 + 0.984310i \(0.556460\pi\)
\(284\) −3.97068 0.700138i −0.235616 0.0415455i
\(285\) 0.155116 1.17566i 0.00918826 0.0696401i
\(286\) −10.0473 11.9739i −0.594111 0.708034i
\(287\) −3.41113 + 6.89894i −0.201353 + 0.407232i
\(288\) −1.72211 + 2.45649i −0.101477 + 0.144750i
\(289\) 8.05071 + 13.9442i 0.473571 + 0.820250i
\(290\) −16.5262 6.01504i −0.970451 0.353215i
\(291\) 4.60580 4.21805i 0.269997 0.247266i
\(292\) −8.78742 + 10.4724i −0.514245 + 0.612853i
\(293\) −1.92130 + 0.699296i −0.112244 + 0.0408533i −0.397531 0.917589i \(-0.630133\pi\)
0.285288 + 0.958442i \(0.407911\pi\)
\(294\) 4.17373 11.3833i 0.243417 0.663889i
\(295\) −5.62188 31.8833i −0.327319 1.85632i
\(296\) 5.69909i 0.331253i
\(297\) 18.8782 20.5669i 1.09542 1.19342i
\(298\) −15.1100 −0.875298
\(299\) 0.152641 + 0.865671i 0.00882747 + 0.0500631i
\(300\) 4.17197 2.65619i 0.240869 0.153355i
\(301\) 23.3008 10.2236i 1.34304 0.589280i
\(302\) −11.9816 + 14.2791i −0.689464 + 0.821671i
\(303\) −4.57250 + 14.4879i −0.262683 + 0.832307i
\(304\) −0.0835478 + 0.229546i −0.00479180 + 0.0131654i
\(305\) −31.4697 + 18.1690i −1.80195 + 1.04036i
\(306\) 0.737576 2.74648i 0.0421644 0.157006i
\(307\) 22.4148 + 12.9412i 1.27928 + 0.738591i 0.976716 0.214539i \(-0.0688248\pi\)
0.302562 + 0.953130i \(0.402158\pi\)
\(308\) −9.81906 10.2786i −0.559493 0.585675i
\(309\) 3.35323 + 2.57452i 0.190758 + 0.146460i
\(310\) −1.80904 + 10.2596i −0.102747 + 0.582706i
\(311\) −4.30869 + 24.4358i −0.244324 + 1.38563i 0.577735 + 0.816225i \(0.303937\pi\)
−0.822058 + 0.569404i \(0.807174\pi\)
\(312\) −1.92706 4.65603i −0.109098 0.263596i
\(313\) 11.6016 + 13.8262i 0.655759 + 0.781503i 0.986770 0.162124i \(-0.0518344\pi\)
−0.331012 + 0.943627i \(0.607390\pi\)
\(314\) 10.9547 18.9740i 0.618208 1.07077i
\(315\) 13.8965 + 17.3718i 0.782980 + 0.978790i
\(316\) 3.54984 + 6.14850i 0.199694 + 0.345880i
\(317\) 3.54406 9.73724i 0.199054 0.546898i −0.799499 0.600668i \(-0.794902\pi\)
0.998553 + 0.0537699i \(0.0171238\pi\)
\(318\) 2.38303 0.527600i 0.133634 0.0295864i
\(319\) −25.8255 21.6702i −1.44595 1.21330i
\(320\) −2.63373 + 0.958599i −0.147230 + 0.0535873i
\(321\) −22.1530 + 0.960967i −1.23646 + 0.0536360i
\(322\) 0.189195 + 0.776683i 0.0105434 + 0.0432829i
\(323\) 0.231558i 0.0128842i
\(324\) 7.79930 4.49121i 0.433294 0.249512i
\(325\) 8.30736i 0.460810i
\(326\) 4.17638 0.736408i 0.231308 0.0407859i
\(327\) −0.113942 2.62668i −0.00630099 0.145256i
\(328\) 0.994896 + 2.73346i 0.0549340 + 0.150930i
\(329\) 28.5881 + 21.0075i 1.57611 + 1.15818i
\(330\) 25.4653 5.63799i 1.40182 0.310361i
\(331\) 16.0033 + 5.82473i 0.879622 + 0.320156i 0.742057 0.670337i \(-0.233850\pi\)
0.137565 + 0.990493i \(0.456073\pi\)
\(332\) 6.10832 + 10.5799i 0.335238 + 0.580649i
\(333\) 7.23435 15.4913i 0.396440 0.848919i
\(334\) 0.688466 + 0.397486i 0.0376712 + 0.0217495i
\(335\) 2.96213 2.48552i 0.161838 0.135799i
\(336\) −2.02138 4.11267i −0.110275 0.224364i
\(337\) 1.78231 10.1080i 0.0970888 0.550618i −0.896998 0.442034i \(-0.854257\pi\)
0.994087 0.108584i \(-0.0346317\pi\)
\(338\) −4.46703 0.787657i −0.242974 0.0428429i
\(339\) 18.8215 + 14.4507i 1.02225 + 0.784854i
\(340\) 2.03524 1.70777i 0.110376 0.0926168i
\(341\) −9.98521 + 17.2949i −0.540729 + 0.936571i
\(342\) 0.518483 0.517899i 0.0280363 0.0280048i
\(343\) 12.1676 + 13.9624i 0.656991 + 0.753899i
\(344\) 3.28932 9.03734i 0.177348 0.487260i
\(345\) −1.39875 0.441456i −0.0753060 0.0237672i
\(346\) −5.22867 + 6.23129i −0.281095 + 0.334996i
\(347\) 7.62446 + 20.9480i 0.409302 + 1.12455i 0.957559 + 0.288239i \(0.0930696\pi\)
−0.548256 + 0.836310i \(0.684708\pi\)
\(348\) −5.83696 9.16789i −0.312894 0.491450i
\(349\) −11.8031 + 2.08121i −0.631807 + 0.111405i −0.480375 0.877063i \(-0.659500\pi\)
−0.151432 + 0.988468i \(0.548388\pi\)
\(350\) 0.486246 + 7.53913i 0.0259910 + 0.402983i
\(351\) −0.672172 + 15.1022i −0.0358779 + 0.806098i
\(352\) −5.37272 −0.286367
\(353\) 4.14606 + 23.5135i 0.220672 + 1.25150i 0.870788 + 0.491659i \(0.163610\pi\)
−0.650115 + 0.759836i \(0.725279\pi\)
\(354\) 9.24331 17.7440i 0.491276 0.943084i
\(355\) 3.86501 + 10.6190i 0.205133 + 0.563599i
\(356\) −10.9727 9.20722i −0.581554 0.487982i
\(357\) 3.13394 + 3.00806i 0.165866 + 0.159203i
\(358\) 13.4664 + 4.90138i 0.711724 + 0.259046i
\(359\) 13.6340 7.87157i 0.719573 0.415446i −0.0950226 0.995475i \(-0.530292\pi\)
0.814595 + 0.580030i \(0.196959\pi\)
\(360\) 8.37586 + 0.737550i 0.441447 + 0.0388723i
\(361\) −9.47016 + 16.4028i −0.498430 + 0.863306i
\(362\) −18.8252 + 15.7962i −0.989431 + 0.830231i
\(363\) 30.6791 + 4.04777i 1.61023 + 0.212453i
\(364\) 7.65067 + 0.845959i 0.401004 + 0.0443403i
\(365\) 37.7338 + 6.65349i 1.97508 + 0.348260i
\(366\) −22.2633 2.93740i −1.16372 0.153541i
\(367\) −4.52071 5.38757i −0.235979 0.281229i 0.635039 0.772480i \(-0.280984\pi\)
−0.871018 + 0.491251i \(0.836540\pi\)
\(368\) 0.261663 + 0.151071i 0.0136401 + 0.00787514i
\(369\) 0.765478 8.69301i 0.0398492 0.452540i
\(370\) 13.8332 7.98658i 0.719152 0.415203i
\(371\) −1.04701 + 3.57825i −0.0543583 + 0.185774i
\(372\) −4.74785 + 4.34814i −0.246164 + 0.225441i
\(373\) −19.5831 16.4322i −1.01397 0.850825i −0.0251156 0.999685i \(-0.507995\pi\)
−0.988858 + 0.148859i \(0.952440\pi\)
\(374\) 4.78582 1.74190i 0.247469 0.0900713i
\(375\) 9.23312 + 4.80977i 0.476796 + 0.248375i
\(376\) 13.2052 2.32844i 0.681008 0.120080i
\(377\) 18.2554 0.940200
\(378\) 0.273952 + 13.7450i 0.0140906 + 0.706966i
\(379\) −21.1805 −1.08797 −0.543985 0.839095i \(-0.683085\pi\)
−0.543985 + 0.839095i \(0.683085\pi\)
\(380\) 0.674249 0.118888i 0.0345882 0.00609884i
\(381\) 6.49665 4.13625i 0.332833 0.211906i
\(382\) 10.9733 3.99394i 0.561441 0.204348i
\(383\) −8.57383 7.19430i −0.438102 0.367611i 0.396896 0.917863i \(-0.370087\pi\)
−0.834999 + 0.550252i \(0.814532\pi\)
\(384\) −1.65174 0.521303i −0.0842900 0.0266026i
\(385\) −11.1885 + 38.2375i −0.570218 + 1.94876i
\(386\) 11.3894 6.57568i 0.579706 0.334693i
\(387\) −20.4129 + 20.3899i −1.03765 + 1.03648i
\(388\) 3.12271 + 1.80290i 0.158532 + 0.0915283i
\(389\) −6.56008 7.81799i −0.332609 0.396388i 0.573657 0.819096i \(-0.305524\pi\)
−0.906266 + 0.422708i \(0.861080\pi\)
\(390\) −8.60086 + 11.2023i −0.435522 + 0.567252i
\(391\) −0.282059 0.0497346i −0.0142643 0.00251519i
\(392\) 6.99269 + 0.319919i 0.353184 + 0.0161583i
\(393\) −6.44317 15.5676i −0.325015 0.785282i
\(394\) −4.38602 + 3.68031i −0.220965 + 0.185411i
\(395\) 9.94933 17.2328i 0.500605 0.867074i
\(396\) 14.6042 + 6.82006i 0.733887 + 0.342721i
\(397\) −1.02285 + 0.590540i −0.0513351 + 0.0296384i −0.525448 0.850826i \(-0.676102\pi\)
0.474113 + 0.880464i \(0.342769\pi\)
\(398\) −17.3039 6.29809i −0.867365 0.315695i
\(399\) 0.311822 + 1.07511i 0.0156106 + 0.0538230i
\(400\) 2.18740 + 1.83544i 0.109370 + 0.0917722i
\(401\) 3.66036 + 10.0568i 0.182790 + 0.502210i 0.996916 0.0784775i \(-0.0250059\pi\)
−0.814126 + 0.580688i \(0.802784\pi\)
\(402\) 2.38735 0.103560i 0.119070 0.00516511i
\(403\) −1.87782 10.6496i −0.0935406 0.530495i
\(404\) −8.77128 −0.436388
\(405\) −21.8311 12.6370i −1.08480 0.627939i
\(406\) 16.5672 1.06852i 0.822216 0.0530299i
\(407\) 30.1544 5.31704i 1.49470 0.263556i
\(408\) 1.64032 0.0711548i 0.0812080 0.00352269i
\(409\) 5.29875 + 14.5582i 0.262006 + 0.719857i 0.999032 + 0.0439918i \(0.0140075\pi\)
−0.737025 + 0.675865i \(0.763770\pi\)
\(410\) 5.24058 6.24548i 0.258814 0.308442i
\(411\) 4.33497 + 19.5799i 0.213828 + 0.965804i
\(412\) −0.834798 + 2.29359i −0.0411275 + 0.112997i
\(413\) 16.9526 + 25.4287i 0.834182 + 1.25126i
\(414\) −0.519487 0.742795i −0.0255314 0.0365064i
\(415\) 17.1201 29.6529i 0.840394 1.45561i
\(416\) 2.22866 1.87007i 0.109269 0.0916875i
\(417\) 4.91057 2.03240i 0.240472 0.0995272i
\(418\) 1.29249 + 0.227902i 0.0632180 + 0.0111470i
\(419\) −1.39741 + 7.92510i −0.0682679 + 0.387166i 0.931460 + 0.363843i \(0.118536\pi\)
−0.999728 + 0.0233229i \(0.992575\pi\)
\(420\) −7.14980 + 10.6698i −0.348874 + 0.520633i
\(421\) −1.78713 + 1.49958i −0.0870996 + 0.0730853i −0.685298 0.728263i \(-0.740328\pi\)
0.598198 + 0.801348i \(0.295884\pi\)
\(422\) −23.6179 13.6358i −1.14970 0.663780i
\(423\) −38.8503 10.4334i −1.88896 0.507288i
\(424\) 0.704580 + 1.22037i 0.0342174 + 0.0592663i
\(425\) −2.54353 0.925768i −0.123379 0.0449063i
\(426\) −2.10186 + 6.65970i −0.101835 + 0.322664i
\(427\) 20.3122 27.6419i 0.982977 1.33768i
\(428\) −4.37857 12.0300i −0.211646 0.581494i
\(429\) −22.8376 + 14.5401i −1.10261 + 0.702004i
\(430\) −26.5455 + 4.68069i −1.28014 + 0.225723i
\(431\) 0.304337i 0.0146594i 0.999973 + 0.00732969i \(0.00233313\pi\)
−0.999973 + 0.00732969i \(0.997667\pi\)
\(432\) 3.82804 + 3.51371i 0.184176 + 0.169053i
\(433\) 4.57215i 0.219723i 0.993947 + 0.109862i \(0.0350408\pi\)
−0.993947 + 0.109862i \(0.964959\pi\)
\(434\) −2.32751 9.55487i −0.111724 0.458649i
\(435\) −14.0730 + 27.0155i −0.674751 + 1.29529i
\(436\) 1.42640 0.519166i 0.0683121 0.0248636i
\(437\) −0.0565392 0.0474420i −0.00270464 0.00226946i
\(438\) 15.9921 + 17.4621i 0.764130 + 0.834373i
\(439\) 0.779667 2.14212i 0.0372115 0.102238i −0.919695 0.392633i \(-0.871564\pi\)
0.956907 + 0.290395i \(0.0937866\pi\)
\(440\) 7.52921 + 13.0410i 0.358941 + 0.621704i
\(441\) −18.6015 9.74603i −0.885785 0.464097i
\(442\) −1.37891 + 2.38834i −0.0655881 + 0.113602i
\(443\) −18.6857 22.2687i −0.887784 1.05802i −0.997943 0.0641054i \(-0.979581\pi\)
0.110159 0.993914i \(-0.464864\pi\)
\(444\) 9.78630 + 1.29120i 0.464437 + 0.0612775i
\(445\) −6.97135 + 39.5365i −0.330474 + 1.87421i
\(446\) 4.24290 24.0627i 0.200907 1.13940i
\(447\) −3.42335 + 25.9464i −0.161919 + 1.22722i
\(448\) 1.91310 1.82758i 0.0903856 0.0863449i
\(449\) 3.91704 + 2.26150i 0.184856 + 0.106727i 0.589572 0.807716i \(-0.299296\pi\)
−0.404716 + 0.914442i \(0.632630\pi\)
\(450\) −3.61591 7.76577i −0.170456 0.366082i
\(451\) 13.5348 7.81430i 0.637327 0.367961i
\(452\) −4.68569 + 12.8738i −0.220396 + 0.605534i
\(453\) 21.8051 + 23.8096i 1.02449 + 1.11867i
\(454\) 10.5833 12.6126i 0.496697 0.591941i
\(455\) −8.66813 19.7557i −0.406368 0.926160i
\(456\) 0.375240 + 0.195472i 0.0175722 + 0.00915382i
\(457\) 5.36803 + 30.4436i 0.251106 + 1.42409i 0.805874 + 0.592087i \(0.201696\pi\)
−0.554768 + 0.832005i \(0.687193\pi\)
\(458\) 11.2405 0.525235
\(459\) −4.54906 1.88879i −0.212332 0.0881611i
\(460\) 0.846832i 0.0394838i
\(461\) −3.90927 22.1706i −0.182073 1.03259i −0.929659 0.368421i \(-0.879898\pi\)
0.747586 0.664165i \(-0.231213\pi\)
\(462\) −19.8746 + 14.5322i −0.924652 + 0.676101i
\(463\) 34.0483 12.3926i 1.58236 0.575931i 0.606643 0.794974i \(-0.292516\pi\)
0.975715 + 0.219043i \(0.0702936\pi\)
\(464\) 4.03338 4.80679i 0.187245 0.223150i
\(465\) 17.2076 + 5.43087i 0.797983 + 0.251850i
\(466\) 1.94787 + 0.708968i 0.0902335 + 0.0328423i
\(467\) 9.71447 + 16.8260i 0.449532 + 0.778612i 0.998356 0.0573259i \(-0.0182574\pi\)
−0.548823 + 0.835938i \(0.684924\pi\)
\(468\) −8.43179 + 2.25420i −0.389760 + 0.104200i
\(469\) −1.61784 + 3.27206i −0.0747051 + 0.151090i
\(470\) −24.1572 28.7895i −1.11429 1.32796i
\(471\) −30.0997 23.1098i −1.38692 1.06484i
\(472\) 11.3757 + 2.00584i 0.523609 + 0.0923263i
\(473\) −50.8862 8.97261i −2.33975 0.412561i
\(474\) 11.3623 4.70266i 0.521887 0.216000i
\(475\) −0.448358 0.534332i −0.0205721 0.0245168i
\(476\) −1.11160 + 2.24819i −0.0509501 + 0.103046i
\(477\) −0.366075 4.21160i −0.0167614 0.192836i
\(478\) 7.08381 + 12.2695i 0.324006 + 0.561195i
\(479\) −8.12673 2.95789i −0.371320 0.135149i 0.149618 0.988744i \(-0.452196\pi\)
−0.520938 + 0.853595i \(0.674418\pi\)
\(480\) 1.04937 + 4.73974i 0.0478971 + 0.216339i
\(481\) −10.6577 + 12.7013i −0.485948 + 0.579131i
\(482\) 0.974319 0.354623i 0.0443790 0.0161526i
\(483\) 1.37656 0.148913i 0.0626357 0.00677578i
\(484\) 3.10241 + 17.5946i 0.141019 + 0.799757i
\(485\) 10.1062i 0.458898i
\(486\) −5.94514 14.4102i −0.269677 0.653662i
\(487\) 11.7431 0.532129 0.266065 0.963955i \(-0.414277\pi\)
0.266065 + 0.963955i \(0.414277\pi\)
\(488\) −2.25137 12.7682i −0.101915 0.577987i
\(489\) −0.318329 7.33839i −0.0143953 0.331854i
\(490\) −9.02287 17.4214i −0.407612 0.787018i
\(491\) 0.558540 0.665642i 0.0252065 0.0300400i −0.753294 0.657684i \(-0.771536\pi\)
0.778500 + 0.627644i \(0.215981\pi\)
\(492\) 4.91921 1.08911i 0.221775 0.0491008i
\(493\) −2.03437 + 5.58938i −0.0916234 + 0.251733i
\(494\) −0.615465 + 0.355339i −0.0276911 + 0.0159875i
\(495\) −3.91191 45.0055i −0.175827 2.02285i
\(496\) −3.21902 1.85850i −0.144538 0.0834492i
\(497\) −7.36867 7.71350i −0.330530 0.345998i
\(498\) 19.5514 8.09201i 0.876120 0.362612i
\(499\) −1.99339 + 11.3051i −0.0892364 + 0.506085i 0.907125 + 0.420861i \(0.138272\pi\)
−0.996362 + 0.0852244i \(0.972839\pi\)
\(500\) −1.04374 + 5.91935i −0.0466775 + 0.264721i
\(501\) 0.838531 1.09216i 0.0374628 0.0487940i
\(502\) 5.49131 + 6.54429i 0.245089 + 0.292086i
\(503\) 21.1918 36.7052i 0.944894 1.63660i 0.188930 0.981991i \(-0.439498\pi\)
0.755964 0.654613i \(-0.227168\pi\)
\(504\) −7.52011 + 2.53927i −0.334972 + 0.113108i
\(505\) 12.2919 + 21.2902i 0.546982 + 0.947400i
\(506\) 0.555210 1.52543i 0.0246821 0.0678135i
\(507\) −2.36460 + 7.49219i −0.105016 + 0.332740i
\(508\) 3.40624 + 2.85818i 0.151128 + 0.126811i
\(509\) 27.7138 10.0870i 1.22839 0.447099i 0.355346 0.934735i \(-0.384363\pi\)
0.873047 + 0.487636i \(0.162141\pi\)
\(510\) −2.47142 3.88177i −0.109436 0.171888i
\(511\) −35.1419 + 8.56035i −1.55459 + 0.378688i
\(512\) 1.00000i 0.0441942i
\(513\) −0.771851 1.00766i −0.0340781 0.0444892i
\(514\) 22.9520i 1.01237i
\(515\) 6.73700 1.18791i 0.296868 0.0523458i
\(516\) −14.7734 7.69584i −0.650363 0.338790i
\(517\) −24.6400 67.6977i −1.08366 2.97734i
\(518\) −8.92866 + 12.1506i −0.392303 + 0.533866i
\(519\) 9.51556 + 10.3903i 0.417687 + 0.456083i
\(520\) −7.66233 2.78886i −0.336015 0.122300i
\(521\) −0.00768736 0.0133149i −0.000336789 0.000583337i 0.865857 0.500292i \(-0.166774\pi\)
−0.866194 + 0.499708i \(0.833441\pi\)
\(522\) −17.0652 + 7.94595i −0.746925 + 0.347785i
\(523\) −34.6851 20.0255i −1.51668 0.875653i −0.999808 0.0195870i \(-0.993765\pi\)
−0.516867 0.856066i \(-0.672902\pi\)
\(524\) 7.45159 6.25263i 0.325524 0.273147i
\(525\) 13.0561 + 0.873113i 0.569816 + 0.0381058i
\(526\) −4.00524 + 22.7148i −0.174637 + 0.990414i
\(527\) 3.46993 + 0.611843i 0.151153 + 0.0266523i
\(528\) −1.21725 + 9.22586i −0.0529741 + 0.401504i
\(529\) 17.5491 14.7254i 0.763004 0.640236i
\(530\) 1.97477 3.42039i 0.0857783 0.148572i
\(531\) −28.3753 19.8925i −1.23138 0.863259i
\(532\) −0.537751 + 0.358503i −0.0233145 + 0.0155431i
\(533\) −2.89446 + 7.95246i −0.125373 + 0.344459i
\(534\) −18.2964 + 16.7560i −0.791761 + 0.725105i
\(535\) −23.0640 + 27.4866i −0.997142 + 1.18835i
\(536\) 0.471863 + 1.29643i 0.0203814 + 0.0559974i
\(537\) 11.4675 22.0137i 0.494859 0.949961i
\(538\) −21.3711 + 3.76829i −0.921371 + 0.162463i
\(539\) −4.83119 37.2974i −0.208094 1.60651i
\(540\) 3.16415 14.2157i 0.136163 0.611745i
\(541\) −4.22483 −0.181640 −0.0908199 0.995867i \(-0.528949\pi\)
−0.0908199 + 0.995867i \(0.528949\pi\)
\(542\) 1.72738 + 9.79644i 0.0741972 + 0.420793i
\(543\) 22.8597 + 35.9049i 0.981004 + 1.54083i
\(544\) 0.324211 + 0.890763i 0.0139004 + 0.0381912i
\(545\) −3.25907 2.73469i −0.139603 0.117141i
\(546\) 3.18601 12.9458i 0.136348 0.554031i
\(547\) 10.3237 + 3.75751i 0.441408 + 0.160660i 0.553157 0.833077i \(-0.313423\pi\)
−0.111749 + 0.993737i \(0.535645\pi\)
\(548\) −10.0270 + 5.78910i −0.428333 + 0.247298i
\(549\) −10.0880 + 37.5644i −0.430547 + 1.60321i
\(550\) 7.67074 13.2861i 0.327082 0.566522i
\(551\) −1.17419 + 0.985264i −0.0500222 + 0.0419736i
\(552\) 0.318698 0.415093i 0.0135647 0.0176675i
\(553\) −2.06442 + 18.6702i −0.0877881 + 0.793937i
\(554\) −9.64783 1.70117i −0.409897 0.0722759i
\(555\) −10.5802 25.5633i −0.449106 1.08510i
\(556\) 1.97230 + 2.35049i 0.0836441 + 0.0996832i
\(557\) 7.91094 + 4.56738i 0.335197 + 0.193526i 0.658146 0.752890i \(-0.271341\pi\)
−0.322949 + 0.946416i \(0.604674\pi\)
\(558\) 6.39081 + 9.13798i 0.270545 + 0.386842i
\(559\) 24.2312 13.9899i 1.02487 0.591709i
\(560\) −7.11698 2.08247i −0.300747 0.0880002i
\(561\) −1.90684 8.61271i −0.0805070 0.363629i
\(562\) 15.8837 + 13.3280i 0.670014 + 0.562208i
\(563\) −39.6355 + 14.4262i −1.67044 + 0.607990i −0.991951 0.126622i \(-0.959587\pi\)
−0.678488 + 0.734612i \(0.737364\pi\)
\(564\) −1.00652 23.2031i −0.0423821 0.977029i
\(565\) 37.8145 6.66772i 1.59087 0.280513i
\(566\) −0.0955818 −0.00401760
\(567\) 23.6646 + 2.64367i 0.993818 + 0.111024i
\(568\) −4.03193 −0.169176
\(569\) 14.0605 2.47925i 0.589448 0.103936i 0.129035 0.991640i \(-0.458812\pi\)
0.460414 + 0.887704i \(0.347701\pi\)
\(570\) −0.0513921 1.18474i −0.00215258 0.0496231i
\(571\) 4.50855 1.64098i 0.188677 0.0686727i −0.245954 0.969282i \(-0.579101\pi\)
0.434631 + 0.900609i \(0.356879\pi\)
\(572\) −11.9739 10.0473i −0.500656 0.420100i
\(573\) −4.37215 19.7478i −0.182649 0.824977i
\(574\) −2.16132 + 7.38647i −0.0902117 + 0.308305i
\(575\) −0.747165 + 0.431376i −0.0311589 + 0.0179896i
\(576\) −1.26939 + 2.71821i −0.0528911 + 0.113259i
\(577\) 19.3505 + 11.1720i 0.805572 + 0.465097i 0.845416 0.534109i \(-0.179353\pi\)
−0.0398438 + 0.999206i \(0.512686\pi\)
\(578\) 10.3498 + 12.3344i 0.430495 + 0.513044i
\(579\) −8.71115 21.0473i −0.362023 0.874698i
\(580\) −17.3196 3.05392i −0.719158 0.126807i
\(581\) −3.55232 + 32.1264i −0.147375 + 1.33283i
\(582\) 3.80337 4.95376i 0.157655 0.205340i
\(583\) 5.79973 4.86655i 0.240200 0.201552i
\(584\) −6.83540 + 11.8393i −0.282851 + 0.489912i
\(585\) 17.2877 + 17.3072i 0.714757 + 0.715563i
\(586\) −1.77068 + 1.02230i −0.0731461 + 0.0422309i
\(587\) −21.9122 7.97538i −0.904413 0.329179i −0.152393 0.988320i \(-0.548698\pi\)
−0.752020 + 0.659141i \(0.770920\pi\)
\(588\) 2.13363 11.9351i 0.0879895 0.492197i
\(589\) 0.695554 + 0.583639i 0.0286598 + 0.0240484i
\(590\) −11.0730 30.4227i −0.455866 1.25248i
\(591\) 5.32601 + 8.36536i 0.219083 + 0.344105i
\(592\) 0.989637 + 5.61251i 0.0406738 + 0.230673i
\(593\) −16.7880 −0.689401 −0.344701 0.938713i \(-0.612020\pi\)
−0.344701 + 0.938713i \(0.612020\pi\)
\(594\) 15.0199 23.5326i 0.616275 0.965556i
\(595\) 7.01471 0.452423i 0.287575 0.0185475i
\(596\) −14.8804 + 2.62382i −0.609526 + 0.107476i
\(597\) −14.7353 + 28.2868i −0.603075 + 1.15770i
\(598\) 0.300644 + 0.826014i 0.0122943 + 0.0337782i
\(599\) 22.5053 26.8208i 0.919542 1.09587i −0.0755727 0.997140i \(-0.524079\pi\)
0.995115 0.0987270i \(-0.0314770\pi\)
\(600\) 3.64735 3.34029i 0.148902 0.136367i
\(601\) −4.00672 + 11.0084i −0.163437 + 0.449041i −0.994195 0.107594i \(-0.965685\pi\)
0.830757 + 0.556635i \(0.187908\pi\)
\(602\) 21.1715 14.1145i 0.862887 0.575262i
\(603\) 0.363054 4.12295i 0.0147847 0.167900i
\(604\) −9.32004 + 16.1428i −0.379227 + 0.656840i
\(605\) 38.3591 32.1871i 1.55952 1.30859i
\(606\) −1.98724 + 15.0618i −0.0807261 + 0.611843i
\(607\) −34.5452 6.09125i −1.40215 0.247236i −0.579121 0.815242i \(-0.696604\pi\)
−0.823025 + 0.568005i \(0.807715\pi\)
\(608\) −0.0424183 + 0.240566i −0.00172029 + 0.00975625i
\(609\) 1.91866 28.6908i 0.0777481 1.16261i
\(610\) −27.8366 + 23.3577i −1.12707 + 0.945724i
\(611\) 33.7843 + 19.5054i 1.36677 + 0.789102i
\(612\) 0.249450 2.83283i 0.0100834 0.114510i
\(613\) −14.2980 24.7648i −0.577490 1.00024i −0.995766 0.0919224i \(-0.970699\pi\)
0.418276 0.908320i \(-0.362634\pi\)
\(614\) 24.3214 + 8.85228i 0.981533 + 0.357249i
\(615\) −9.53722 10.4139i −0.384578 0.419931i
\(616\) −11.4547 8.41734i −0.461524 0.339144i
\(617\) −12.1982 33.5143i −0.491082 1.34924i −0.899691 0.436527i \(-0.856208\pi\)
0.408609 0.912710i \(-0.366014\pi\)
\(618\) 3.74935 + 1.95313i 0.150821 + 0.0785664i
\(619\) 34.9977 6.17103i 1.40668 0.248035i 0.581792 0.813338i \(-0.302352\pi\)
0.824883 + 0.565303i \(0.191241\pi\)
\(620\) 10.4179i 0.418391i
\(621\) −1.39320 + 0.723758i −0.0559072 + 0.0290434i
\(622\) 24.8128i 0.994902i
\(623\) −8.96930 36.8208i −0.359348 1.47519i
\(624\) −2.70629 4.25067i −0.108338 0.170163i
\(625\) 29.2467 10.6449i 1.16987 0.425797i
\(626\) 13.8262 + 11.6016i 0.552606 + 0.463692i
\(627\) 0.684176 2.16780i 0.0273234 0.0865735i
\(628\) 7.49344 20.5880i 0.299021 0.821552i
\(629\) −2.70117 4.67857i −0.107703 0.186547i
\(630\) 16.7020 + 14.6948i 0.665423 + 0.585454i
\(631\) 16.8880 29.2508i 0.672300 1.16446i −0.304951 0.952368i \(-0.598640\pi\)
0.977250 0.212089i \(-0.0680267\pi\)
\(632\) 4.56358 + 5.43867i 0.181530 + 0.216339i
\(633\) −28.7659 + 37.4666i −1.14334 + 1.48916i
\(634\) 1.79937 10.2047i 0.0714621 0.405281i
\(635\) 2.16410 12.2732i 0.0858797 0.487048i
\(636\) 2.25521 0.933394i 0.0894249 0.0370115i
\(637\) 14.9860 + 13.7898i 0.593768 + 0.546371i
\(638\) −29.1962 16.8564i −1.15589 0.667352i
\(639\) 10.9596 + 5.11808i 0.433556 + 0.202468i
\(640\) −2.42726 + 1.40138i −0.0959458 + 0.0553943i
\(641\) 2.74024 7.52876i 0.108233 0.297368i −0.873739 0.486396i \(-0.838311\pi\)
0.981972 + 0.189028i \(0.0605336\pi\)
\(642\) −21.6496 + 4.79320i −0.854442 + 0.189173i
\(643\) −10.5957 + 12.6274i −0.417853 + 0.497978i −0.933377 0.358897i \(-0.883153\pi\)
0.515524 + 0.856875i \(0.327597\pi\)
\(644\) 0.321190 + 0.732030i 0.0126567 + 0.0288460i
\(645\) 2.02333 + 46.6436i 0.0796687 + 1.83659i
\(646\) −0.0402096 0.228040i −0.00158203 0.00897212i
\(647\) 4.03618 0.158679 0.0793394 0.996848i \(-0.474719\pi\)
0.0793394 + 0.996848i \(0.474719\pi\)
\(648\) 6.90092 5.77731i 0.271094 0.226954i
\(649\) 62.0612i 2.43612i
\(650\) 1.44256 + 8.18115i 0.0565818 + 0.320891i
\(651\) −16.9347 + 1.83195i −0.663722 + 0.0717998i
\(652\) 3.98505 1.45044i 0.156067 0.0568037i
\(653\) −17.1181 + 20.4005i −0.669883 + 0.798335i −0.988768 0.149458i \(-0.952247\pi\)
0.318885 + 0.947793i \(0.396691\pi\)
\(654\) −0.568329 2.56699i −0.0222234 0.100377i
\(655\) −25.6192 9.32464i −1.00103 0.364344i
\(656\) 1.45444 + 2.51917i 0.0567864 + 0.0983569i
\(657\) 33.6086 23.5048i 1.31120 0.917010i
\(658\) 31.8017 + 15.7241i 1.23976 + 0.612990i
\(659\) 9.49979 + 11.3214i 0.370059 + 0.441019i 0.918650 0.395071i \(-0.129280\pi\)
−0.548591 + 0.836091i \(0.684836\pi\)
\(660\) 24.0994 9.97433i 0.938067 0.388250i
\(661\) −4.89542 0.863195i −0.190410 0.0335744i 0.0776299 0.996982i \(-0.475265\pi\)
−0.268040 + 0.963408i \(0.586376\pi\)
\(662\) 16.7716 + 2.95729i 0.651848 + 0.114938i
\(663\) 3.78878 + 2.90893i 0.147144 + 0.112973i
\(664\) 7.85270 + 9.35849i 0.304744 + 0.363180i
\(665\) 1.62377 + 0.802862i 0.0629672 + 0.0311336i
\(666\) 4.43441 16.5122i 0.171830 0.639835i
\(667\) 0.947946 + 1.64189i 0.0367046 + 0.0635742i
\(668\) 0.747029 + 0.271896i 0.0289034 + 0.0105200i
\(669\) −40.3584 12.7375i −1.56034 0.492458i
\(670\) 2.48552 2.96213i 0.0960240 0.114437i
\(671\) −65.4570 + 23.8244i −2.52694 + 0.919731i
\(672\) −2.70482 3.69918i −0.104341 0.142699i
\(673\) −1.87117 10.6119i −0.0721282 0.409059i −0.999399 0.0346677i \(-0.988963\pi\)
0.927271 0.374391i \(-0.122148\pi\)
\(674\) 10.2639i 0.395352i
\(675\) −14.1544 + 4.44970i −0.544802 + 0.171269i
\(676\) −4.53594 −0.174459
\(677\) −4.21944 23.9296i −0.162166 0.919690i −0.951938 0.306289i \(-0.900912\pi\)
0.789772 0.613400i \(-0.210199\pi\)
\(678\) 21.0449 + 10.9628i 0.808226 + 0.421025i
\(679\) 3.83311 + 8.73611i 0.147101 + 0.335261i
\(680\) 1.70777 2.03524i 0.0654900 0.0780479i
\(681\) −19.2603 21.0308i −0.738055 0.805902i
\(682\) −6.83028 + 18.7661i −0.261545 + 0.718589i
\(683\) 0.466410 0.269282i 0.0178467 0.0103038i −0.491050 0.871131i \(-0.663387\pi\)
0.508897 + 0.860828i \(0.330053\pi\)
\(684\) 0.420674 0.600064i 0.0160849 0.0229440i
\(685\) 28.1033 + 16.2254i 1.07377 + 0.619942i
\(686\) 14.4073 + 11.6374i 0.550074 + 0.444318i
\(687\) 2.54668 19.3019i 0.0971618 0.736413i
\(688\) 1.67003 9.47122i 0.0636694 0.361087i
\(689\) −0.711901 + 4.03739i −0.0271213 + 0.153812i
\(690\) −1.45415 0.191860i −0.0553587 0.00730399i
\(691\) −8.01618 9.55331i −0.304950 0.363425i 0.591706 0.806154i \(-0.298455\pi\)
−0.896655 + 0.442729i \(0.854010\pi\)
\(692\) −4.06719 + 7.04457i −0.154611 + 0.267795i
\(693\) 20.4515 + 37.4206i 0.776888 + 1.42149i
\(694\) 11.1462 + 19.3058i 0.423104 + 0.732838i
\(695\) 2.94132 8.08121i 0.111571 0.306538i
\(696\) −7.34027 8.01503i −0.278232 0.303809i
\(697\) −2.11231 1.77243i −0.0800093 0.0671358i
\(698\) −11.2624 + 4.09918i −0.426289 + 0.155156i
\(699\) 1.65873 3.18420i 0.0627390 0.120438i
\(700\) 1.78802 + 7.34016i 0.0675806 + 0.277432i
\(701\) 11.3417i 0.428369i −0.976793 0.214185i \(-0.931291\pi\)
0.976793 0.214185i \(-0.0687094\pi\)
\(702\) 1.96052 + 14.9895i 0.0739950 + 0.565743i
\(703\) 1.39216i 0.0525063i
\(704\) −5.29109 + 0.932962i −0.199416 + 0.0351623i
\(705\) −54.9095 + 34.9595i −2.06801 + 1.31665i
\(706\) 8.16614 + 22.4363i 0.307337 + 0.844401i
\(707\) −18.7005 13.7418i −0.703307 0.516814i
\(708\) 6.02167 19.0795i 0.226308 0.717053i
\(709\) −11.0328 4.01562i −0.414347 0.150810i 0.126431 0.991975i \(-0.459648\pi\)
−0.540778 + 0.841166i \(0.681870\pi\)
\(710\) 5.65026 + 9.78654i 0.212051 + 0.367282i
\(711\) −5.50100 20.5764i −0.206304 0.771675i
\(712\) −12.4049 7.16195i −0.464892 0.268405i
\(713\) 0.860318 0.721893i 0.0322192 0.0270351i
\(714\) 3.60867 + 2.41816i 0.135051 + 0.0904973i
\(715\) −7.60745 + 43.1440i −0.284502 + 1.61349i
\(716\) 14.1130 + 2.48850i 0.527427 + 0.0929995i
\(717\) 22.6738 9.38429i 0.846767 0.350463i
\(718\) 12.0599 10.1195i 0.450073 0.377656i
\(719\) −9.49117 + 16.4392i −0.353961 + 0.613078i −0.986940 0.161091i \(-0.948499\pi\)
0.632979 + 0.774169i \(0.281832\pi\)
\(720\) 8.37669 0.728107i 0.312181 0.0271350i
\(721\) −5.37313 + 3.58211i −0.200106 + 0.133405i
\(722\) −6.47797 + 17.7981i −0.241085 + 0.662376i
\(723\) −0.388204 1.75341i −0.0144375 0.0652102i
\(724\) −15.7962 + 18.8252i −0.587062 + 0.699633i
\(725\) 6.12811 + 16.8369i 0.227592 + 0.625305i
\(726\) 30.9159 1.34109i 1.14740 0.0497724i
\(727\) 16.5106 2.91126i 0.612344 0.107973i 0.141129 0.989991i \(-0.454927\pi\)
0.471215 + 0.882018i \(0.343816\pi\)
\(728\) 7.68134 0.495418i 0.284689 0.0183614i
\(729\) −26.0918 + 6.94400i −0.966362 + 0.257185i
\(730\) 38.3159 1.41814
\(731\) 1.58307 + 8.97806i 0.0585521 + 0.332066i
\(732\) −22.4351 + 0.973205i −0.829227 + 0.0359707i
\(733\) 6.00752 + 16.5055i 0.221893 + 0.609645i 0.999825 0.0187029i \(-0.00595366\pi\)
−0.777932 + 0.628348i \(0.783731\pi\)
\(734\) −5.38757 4.52071i −0.198859 0.166862i
\(735\) −31.9597 + 11.5468i −1.17885 + 0.425909i
\(736\) 0.283921 + 0.103339i 0.0104655 + 0.00380912i
\(737\) 6.41932 3.70620i 0.236459 0.136519i
\(738\) −0.755677 8.69387i −0.0278169 0.320026i
\(739\) −14.8317 + 25.6893i −0.545593 + 0.944995i 0.452976 + 0.891523i \(0.350362\pi\)
−0.998569 + 0.0534726i \(0.982971\pi\)
\(740\) 12.2362 10.2674i 0.449810 0.377435i
\(741\) 0.470736 + 1.13736i 0.0172929 + 0.0417821i
\(742\) −0.409751 + 3.70570i −0.0150424 + 0.136041i
\(743\) −33.5884 5.92255i −1.23224 0.217277i −0.480653 0.876911i \(-0.659600\pi\)
−0.751587 + 0.659634i \(0.770711\pi\)
\(744\) −3.92067 + 5.10654i −0.143739 + 0.187215i
\(745\) 27.2218 + 32.4417i 0.997330 + 1.18857i
\(746\) −22.1390 12.7820i −0.810566 0.467981i
\(747\) −9.46574 35.4064i −0.346333 1.29545i
\(748\) 4.41063 2.54648i 0.161269 0.0931086i
\(749\) 9.51203 32.5081i 0.347562 1.18782i
\(750\) 9.92806 + 3.13338i 0.362521 + 0.114415i
\(751\) 9.27586 + 7.78337i 0.338481 + 0.284019i 0.796145 0.605106i \(-0.206869\pi\)
−0.457664 + 0.889125i \(0.651314\pi\)
\(752\) 12.6003 4.58613i 0.459485 0.167239i
\(753\) 12.4818 7.94682i 0.454861 0.289598i
\(754\) 17.9780 3.17001i 0.654722 0.115445i
\(755\) 52.2436 1.90134
\(756\) 2.65658 + 13.4886i 0.0966190 + 0.490576i
\(757\) −5.74566 −0.208830 −0.104415 0.994534i \(-0.533297\pi\)
−0.104415 + 0.994534i \(0.533297\pi\)
\(758\) −20.8587 + 3.67796i −0.757623 + 0.133589i
\(759\) −2.49363 1.29899i −0.0905130 0.0471505i
\(760\) 0.643361 0.234164i 0.0233372 0.00849403i
\(761\) −3.27963 2.75194i −0.118887 0.0997577i 0.581406 0.813613i \(-0.302503\pi\)
−0.700293 + 0.713856i \(0.746947\pi\)
\(762\) 5.67970 5.20154i 0.205754 0.188432i
\(763\) 3.85448 + 1.12784i 0.139541 + 0.0408305i
\(764\) 10.1130 5.83875i 0.365876 0.211239i
\(765\) −7.22558 + 3.36439i −0.261242 + 0.121640i
\(766\) −9.69285 5.59617i −0.350217 0.202198i
\(767\) 21.6015 + 25.7436i 0.779984 + 0.929549i
\(768\) −1.71717 0.226562i −0.0619630 0.00817535i
\(769\) −38.9273 6.86393