Properties

Label 273.2.r.b.68.19
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
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] = [273,2,Mod(68,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.68");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), 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: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.19
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+0.771110i q^{2} +(1.72370 - 0.169842i) q^{3} +1.40539 q^{4} +(-0.907647 + 1.57209i) q^{5} +(0.130967 + 1.32917i) q^{6} +(0.574285 - 2.58267i) q^{7} +2.62593i q^{8} +(2.94231 - 0.585513i) q^{9} +O(q^{10})\) \(q+0.771110i q^{2} +(1.72370 - 0.169842i) q^{3} +1.40539 q^{4} +(-0.907647 + 1.57209i) q^{5} +(0.130967 + 1.32917i) q^{6} +(0.574285 - 2.58267i) q^{7} +2.62593i q^{8} +(2.94231 - 0.585513i) q^{9} +(-1.21225 - 0.699896i) q^{10} +(-0.504401 - 0.291216i) q^{11} +(2.42247 - 0.238694i) q^{12} +(-3.53127 + 0.728085i) q^{13} +(1.99153 + 0.442837i) q^{14} +(-1.29751 + 2.86397i) q^{15} +0.785896 q^{16} -0.958191 q^{17} +(0.451495 + 2.26884i) q^{18} +(-1.66703 + 0.962462i) q^{19} +(-1.27560 + 2.20940i) q^{20} +(0.551252 - 4.54930i) q^{21} +(0.224560 - 0.388949i) q^{22} -8.73145i q^{23} +(0.445992 + 4.52633i) q^{24} +(0.852355 + 1.47632i) q^{25} +(-0.561434 - 2.72300i) q^{26} +(4.97222 - 1.50898i) q^{27} +(0.807094 - 3.62966i) q^{28} +(-4.26919 + 2.46482i) q^{29} +(-2.20844 - 1.00052i) q^{30} +(-2.83579 + 1.63724i) q^{31} +5.85787i q^{32} +(-0.918898 - 0.416302i) q^{33} -0.738871i q^{34} +(3.53895 + 3.24698i) q^{35} +(4.13509 - 0.822874i) q^{36} -1.79997 q^{37} +(-0.742164 - 1.28547i) q^{38} +(-5.96321 + 1.85476i) q^{39} +(-4.12820 - 2.38342i) q^{40} +(1.73088 + 2.99798i) q^{41} +(3.50801 + 0.425076i) q^{42} +(-0.367529 + 0.636578i) q^{43} +(-0.708879 - 0.409272i) q^{44} +(-1.75010 + 5.15701i) q^{45} +6.73291 q^{46} +(3.49201 - 6.04834i) q^{47} +(1.35465 - 0.133478i) q^{48} +(-6.34039 - 2.96638i) q^{49} +(-1.13841 + 0.657260i) q^{50} +(-1.65164 + 0.162741i) q^{51} +(-4.96281 + 1.02324i) q^{52} +(5.08741 - 2.93722i) q^{53} +(1.16359 + 3.83413i) q^{54} +(0.915636 - 0.528642i) q^{55} +(6.78192 + 1.50803i) q^{56} +(-2.71000 + 1.94213i) q^{57} +(-1.90065 - 3.29202i) q^{58} -7.65673 q^{59} +(-1.82350 + 4.02500i) q^{60} +(-3.31677 + 1.91494i) q^{61} +(-1.26249 - 2.18670i) q^{62} +(0.177535 - 7.93527i) q^{63} -2.94528 q^{64} +(2.06053 - 6.21232i) q^{65} +(0.321015 - 0.708572i) q^{66} +(5.07823 - 8.79576i) q^{67} -1.34663 q^{68} +(-1.48296 - 15.0504i) q^{69} +(-2.50378 + 2.72892i) q^{70} +(-9.73044 - 5.61787i) q^{71} +(1.53752 + 7.72630i) q^{72} +(-7.30674 + 4.21855i) q^{73} -1.38798i q^{74} +(1.71995 + 2.39998i) q^{75} +(-2.34283 + 1.35263i) q^{76} +(-1.04179 + 1.13546i) q^{77} +(-1.43022 - 4.59829i) q^{78} +(6.35477 - 11.0068i) q^{79} +(-0.713316 + 1.23550i) q^{80} +(8.31435 - 3.44552i) q^{81} +(-2.31177 + 1.33470i) q^{82} +7.45221 q^{83} +(0.774724 - 6.39353i) q^{84} +(0.869698 - 1.50636i) q^{85} +(-0.490872 - 0.283405i) q^{86} +(-6.94019 + 4.97370i) q^{87} +(0.764713 - 1.32452i) q^{88} +7.06905 q^{89} +(-3.97662 - 1.34952i) q^{90} +(-0.147552 + 9.53825i) q^{91} -12.2711i q^{92} +(-4.60998 + 3.30375i) q^{93} +(4.66394 + 2.69273i) q^{94} -3.49430i q^{95} +(0.994911 + 10.0972i) q^{96} +(-7.89537 - 4.55839i) q^{97} +(2.28741 - 4.88914i) q^{98} +(-1.65461 - 0.561514i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.771110i 0.545257i 0.962119 + 0.272629i \(0.0878930\pi\)
−0.962119 + 0.272629i \(0.912107\pi\)
\(3\) 1.72370 0.169842i 0.995181 0.0980581i
\(4\) 1.40539 0.702694
\(5\) −0.907647 + 1.57209i −0.405912 + 0.703060i −0.994427 0.105426i \(-0.966379\pi\)
0.588515 + 0.808486i \(0.299713\pi\)
\(6\) 0.130967 + 1.32917i 0.0534669 + 0.542630i
\(7\) 0.574285 2.58267i 0.217059 0.976158i
\(8\) 2.62593i 0.928407i
\(9\) 2.94231 0.585513i 0.980769 0.195171i
\(10\) −1.21225 0.699896i −0.383349 0.221326i
\(11\) −0.504401 0.291216i −0.152083 0.0878049i 0.422028 0.906583i \(-0.361319\pi\)
−0.574110 + 0.818778i \(0.694652\pi\)
\(12\) 2.42247 0.238694i 0.699308 0.0689049i
\(13\) −3.53127 + 0.728085i −0.979399 + 0.201935i
\(14\) 1.99153 + 0.442837i 0.532258 + 0.118353i
\(15\) −1.29751 + 2.86397i −0.335015 + 0.739475i
\(16\) 0.785896 0.196474
\(17\) −0.958191 −0.232395 −0.116198 0.993226i \(-0.537071\pi\)
−0.116198 + 0.993226i \(0.537071\pi\)
\(18\) 0.451495 + 2.26884i 0.106418 + 0.534772i
\(19\) −1.66703 + 0.962462i −0.382444 + 0.220804i −0.678881 0.734248i \(-0.737535\pi\)
0.296437 + 0.955052i \(0.404201\pi\)
\(20\) −1.27560 + 2.20940i −0.285232 + 0.494036i
\(21\) 0.551252 4.54930i 0.120293 0.992738i
\(22\) 0.224560 0.388949i 0.0478763 0.0829242i
\(23\) 8.73145i 1.82063i −0.413912 0.910317i \(-0.635838\pi\)
0.413912 0.910317i \(-0.364162\pi\)
\(24\) 0.445992 + 4.52633i 0.0910378 + 0.923932i
\(25\) 0.852355 + 1.47632i 0.170471 + 0.295265i
\(26\) −0.561434 2.72300i −0.110106 0.534024i
\(27\) 4.97222 1.50898i 0.956904 0.290403i
\(28\) 0.807094 3.62966i 0.152526 0.685941i
\(29\) −4.26919 + 2.46482i −0.792769 + 0.457705i −0.840936 0.541134i \(-0.817995\pi\)
0.0481677 + 0.998839i \(0.484662\pi\)
\(30\) −2.20844 1.00052i −0.403204 0.182669i
\(31\) −2.83579 + 1.63724i −0.509322 + 0.294057i −0.732555 0.680708i \(-0.761672\pi\)
0.223233 + 0.974765i \(0.428339\pi\)
\(32\) 5.85787i 1.03554i
\(33\) −0.918898 0.416302i −0.159960 0.0724688i
\(34\) 0.738871i 0.126715i
\(35\) 3.53895 + 3.24698i 0.598191 + 0.548840i
\(36\) 4.13509 0.822874i 0.689181 0.137146i
\(37\) −1.79997 −0.295914 −0.147957 0.988994i \(-0.547270\pi\)
−0.147957 + 0.988994i \(0.547270\pi\)
\(38\) −0.742164 1.28547i −0.120395 0.208530i
\(39\) −5.96321 + 1.85476i −0.954878 + 0.296999i
\(40\) −4.12820 2.38342i −0.652726 0.376851i
\(41\) 1.73088 + 2.99798i 0.270319 + 0.468205i 0.968943 0.247283i \(-0.0795377\pi\)
−0.698625 + 0.715488i \(0.746204\pi\)
\(42\) 3.50801 + 0.425076i 0.541298 + 0.0655907i
\(43\) −0.367529 + 0.636578i −0.0560476 + 0.0970772i −0.892688 0.450675i \(-0.851183\pi\)
0.836640 + 0.547753i \(0.184517\pi\)
\(44\) −0.708879 0.409272i −0.106868 0.0617000i
\(45\) −1.75010 + 5.15701i −0.260889 + 0.768762i
\(46\) 6.73291 0.992714
\(47\) 3.49201 6.04834i 0.509362 0.882241i −0.490579 0.871397i \(-0.663215\pi\)
0.999941 0.0108447i \(-0.00345203\pi\)
\(48\) 1.35465 0.133478i 0.195527 0.0192659i
\(49\) −6.34039 2.96638i −0.905770 0.423769i
\(50\) −1.13841 + 0.657260i −0.160995 + 0.0929506i
\(51\) −1.65164 + 0.162741i −0.231275 + 0.0227882i
\(52\) −4.96281 + 1.02324i −0.688218 + 0.141898i
\(53\) 5.08741 2.93722i 0.698810 0.403458i −0.108094 0.994141i \(-0.534475\pi\)
0.806904 + 0.590683i \(0.201142\pi\)
\(54\) 1.16359 + 3.83413i 0.158344 + 0.521759i
\(55\) 0.915636 0.528642i 0.123464 0.0712821i
\(56\) 6.78192 + 1.50803i 0.906272 + 0.201519i
\(57\) −2.71000 + 1.94213i −0.358949 + 0.257241i
\(58\) −1.90065 3.29202i −0.249567 0.432263i
\(59\) −7.65673 −0.996822 −0.498411 0.866941i \(-0.666083\pi\)
−0.498411 + 0.866941i \(0.666083\pi\)
\(60\) −1.82350 + 4.02500i −0.235413 + 0.519625i
\(61\) −3.31677 + 1.91494i −0.424668 + 0.245182i −0.697073 0.717000i \(-0.745515\pi\)
0.272404 + 0.962183i \(0.412181\pi\)
\(62\) −1.26249 2.18670i −0.160337 0.277712i
\(63\) 0.177535 7.93527i 0.0223673 0.999750i
\(64\) −2.94528 −0.368159
\(65\) 2.06053 6.21232i 0.255578 0.770544i
\(66\) 0.321015 0.708572i 0.0395142 0.0872192i
\(67\) 5.07823 8.79576i 0.620405 1.07457i −0.369005 0.929427i \(-0.620302\pi\)
0.989410 0.145146i \(-0.0463651\pi\)
\(68\) −1.34663 −0.163303
\(69\) −1.48296 15.0504i −0.178528 1.81186i
\(70\) −2.50378 + 2.72892i −0.299259 + 0.326168i
\(71\) −9.73044 5.61787i −1.15479 0.666719i −0.204740 0.978816i \(-0.565635\pi\)
−0.950050 + 0.312098i \(0.898968\pi\)
\(72\) 1.53752 + 7.72630i 0.181198 + 0.910553i
\(73\) −7.30674 + 4.21855i −0.855189 + 0.493744i −0.862398 0.506230i \(-0.831039\pi\)
0.00720927 + 0.999974i \(0.497705\pi\)
\(74\) 1.38798i 0.161349i
\(75\) 1.71995 + 2.39998i 0.198603 + 0.277125i
\(76\) −2.34283 + 1.35263i −0.268741 + 0.155158i
\(77\) −1.04179 + 1.13546i −0.118722 + 0.129398i
\(78\) −1.43022 4.59829i −0.161941 0.520654i
\(79\) 6.35477 11.0068i 0.714968 1.23836i −0.248004 0.968759i \(-0.579775\pi\)
0.962972 0.269602i \(-0.0868921\pi\)
\(80\) −0.713316 + 1.23550i −0.0797511 + 0.138133i
\(81\) 8.31435 3.44552i 0.923817 0.382836i
\(82\) −2.31177 + 1.33470i −0.255292 + 0.147393i
\(83\) 7.45221 0.817987 0.408993 0.912537i \(-0.365880\pi\)
0.408993 + 0.912537i \(0.365880\pi\)
\(84\) 0.774724 6.39353i 0.0845293 0.697592i
\(85\) 0.869698 1.50636i 0.0943320 0.163388i
\(86\) −0.490872 0.283405i −0.0529321 0.0305603i
\(87\) −6.94019 + 4.97370i −0.744066 + 0.533237i
\(88\) 0.764713 1.32452i 0.0815187 0.141194i
\(89\) 7.06905 0.749318 0.374659 0.927163i \(-0.377760\pi\)
0.374659 + 0.927163i \(0.377760\pi\)
\(90\) −3.97662 1.34952i −0.419173 0.142252i
\(91\) −0.147552 + 9.53825i −0.0154677 + 0.999880i
\(92\) 12.2711i 1.27935i
\(93\) −4.60998 + 3.30375i −0.478033 + 0.342583i
\(94\) 4.66394 + 2.69273i 0.481049 + 0.277734i
\(95\) 3.49430i 0.358508i
\(96\) 0.994911 + 10.0972i 0.101543 + 1.03054i
\(97\) −7.89537 4.55839i −0.801653 0.462835i 0.0423956 0.999101i \(-0.486501\pi\)
−0.844049 + 0.536266i \(0.819834\pi\)
\(98\) 2.28741 4.88914i 0.231063 0.493878i
\(99\) −1.65461 0.561514i −0.166295 0.0564343i
\(100\) 1.19789 + 2.07481i 0.119789 + 0.207481i
\(101\) −2.12969 + 3.68873i −0.211912 + 0.367043i −0.952313 0.305123i \(-0.901302\pi\)
0.740401 + 0.672166i \(0.234636\pi\)
\(102\) −0.125491 1.27359i −0.0124255 0.126105i
\(103\) −1.48182 0.855530i −0.146008 0.0842979i 0.425216 0.905092i \(-0.360198\pi\)
−0.571224 + 0.820794i \(0.693531\pi\)
\(104\) −1.91190 9.27288i −0.187477 0.909281i
\(105\) 6.65157 + 4.99577i 0.649126 + 0.487538i
\(106\) 2.26492 + 3.92296i 0.219988 + 0.381031i
\(107\) 18.3323i 1.77225i 0.463442 + 0.886127i \(0.346614\pi\)
−0.463442 + 0.886127i \(0.653386\pi\)
\(108\) 6.98790 2.12070i 0.672411 0.204064i
\(109\) 7.69087 + 13.3210i 0.736651 + 1.27592i 0.953995 + 0.299822i \(0.0969275\pi\)
−0.217344 + 0.976095i \(0.569739\pi\)
\(110\) 0.407642 + 0.706056i 0.0388671 + 0.0673198i
\(111\) −3.10262 + 0.305710i −0.294488 + 0.0290167i
\(112\) 0.451328 2.02971i 0.0426465 0.191790i
\(113\) 13.4652 + 7.77412i 1.26670 + 0.731328i 0.974362 0.224988i \(-0.0722343\pi\)
0.292335 + 0.956316i \(0.405568\pi\)
\(114\) −1.49760 2.08971i −0.140263 0.195719i
\(115\) 13.7266 + 7.92507i 1.28001 + 0.739017i
\(116\) −5.99987 + 3.46403i −0.557074 + 0.321627i
\(117\) −9.96379 + 4.20986i −0.921153 + 0.389202i
\(118\) 5.90419i 0.543524i
\(119\) −0.550275 + 2.47469i −0.0504436 + 0.226855i
\(120\) −7.52059 3.40716i −0.686533 0.311030i
\(121\) −5.33039 9.23250i −0.484581 0.839318i
\(122\) −1.47663 2.55759i −0.133688 0.231554i
\(123\) 3.49271 + 4.87365i 0.314927 + 0.439442i
\(124\) −3.98538 + 2.30096i −0.357898 + 0.206632i
\(125\) −12.1710 −1.08861
\(126\) 6.11897 + 0.136899i 0.545121 + 0.0121960i
\(127\) 3.36330 + 5.82541i 0.298445 + 0.516922i 0.975780 0.218753i \(-0.0701988\pi\)
−0.677336 + 0.735674i \(0.736865\pi\)
\(128\) 9.44461i 0.834794i
\(129\) −0.525393 + 1.15969i −0.0462583 + 0.102105i
\(130\) 4.79039 + 1.58890i 0.420145 + 0.139356i
\(131\) −8.45044 + 14.6366i −0.738318 + 1.27880i 0.214934 + 0.976629i \(0.431046\pi\)
−0.953252 + 0.302176i \(0.902287\pi\)
\(132\) −1.29141 0.585066i −0.112403 0.0509235i
\(133\) 1.52837 + 4.85813i 0.132527 + 0.421253i
\(134\) 6.78250 + 3.91588i 0.585919 + 0.338280i
\(135\) −2.14077 + 9.18640i −0.184248 + 0.790639i
\(136\) 2.51614i 0.215757i
\(137\) 13.8225i 1.18094i 0.807060 + 0.590470i \(0.201058\pi\)
−0.807060 + 0.590470i \(0.798942\pi\)
\(138\) 11.6055 1.14353i 0.987930 0.0973436i
\(139\) 6.06889 + 3.50387i 0.514756 + 0.297195i 0.734787 0.678298i \(-0.237282\pi\)
−0.220030 + 0.975493i \(0.570616\pi\)
\(140\) 4.97359 + 4.56327i 0.420345 + 0.385667i
\(141\) 4.99193 11.0186i 0.420397 0.927937i
\(142\) 4.33200 7.50324i 0.363533 0.629658i
\(143\) 1.99321 + 0.661116i 0.166680 + 0.0552853i
\(144\) 2.31235 0.460152i 0.192696 0.0383460i
\(145\) 8.94873i 0.743152i
\(146\) −3.25297 5.63430i −0.269217 0.466298i
\(147\) −11.4328 4.03630i −0.942959 0.332908i
\(148\) −2.52966 −0.207937
\(149\) 19.9386 11.5115i 1.63343 0.943062i 0.650407 0.759586i \(-0.274598\pi\)
0.983024 0.183476i \(-0.0587351\pi\)
\(150\) −1.85065 + 1.32627i −0.151105 + 0.108290i
\(151\) 6.63079 + 11.4849i 0.539606 + 0.934624i 0.998925 + 0.0463533i \(0.0147600\pi\)
−0.459319 + 0.888271i \(0.651907\pi\)
\(152\) −2.52736 4.37751i −0.204996 0.355063i
\(153\) −2.81929 + 0.561033i −0.227926 + 0.0453569i
\(154\) −0.875566 0.803332i −0.0705551 0.0647343i
\(155\) 5.94415i 0.477445i
\(156\) −8.38063 + 2.60666i −0.670987 + 0.208700i
\(157\) 16.2821 9.40048i 1.29945 0.750240i 0.319144 0.947706i \(-0.396605\pi\)
0.980310 + 0.197466i \(0.0632714\pi\)
\(158\) 8.48745 + 4.90023i 0.675225 + 0.389842i
\(159\) 8.27033 5.92695i 0.655880 0.470037i
\(160\) −9.20910 5.31688i −0.728044 0.420336i
\(161\) −22.5505 5.01434i −1.77723 0.395186i
\(162\) 2.65688 + 6.41128i 0.208744 + 0.503718i
\(163\) 2.66816 + 4.62139i 0.208987 + 0.361976i 0.951396 0.307971i \(-0.0996501\pi\)
−0.742409 + 0.669947i \(0.766317\pi\)
\(164\) 2.43256 + 4.21332i 0.189951 + 0.329005i
\(165\) 1.48850 1.06674i 0.115879 0.0830453i
\(166\) 5.74648i 0.446013i
\(167\) 3.96880 + 6.87417i 0.307115 + 0.531939i 0.977730 0.209867i \(-0.0673030\pi\)
−0.670615 + 0.741806i \(0.733970\pi\)
\(168\) 11.9461 + 1.44755i 0.921665 + 0.111681i
\(169\) 11.9398 5.14214i 0.918445 0.395549i
\(170\) 1.16157 + 0.670633i 0.0890884 + 0.0514352i
\(171\) −4.34139 + 3.80793i −0.331994 + 0.291200i
\(172\) −0.516520 + 0.894640i −0.0393843 + 0.0682156i
\(173\) −9.33110 16.1619i −0.709430 1.22877i −0.965069 0.261997i \(-0.915619\pi\)
0.255638 0.966772i \(-0.417714\pi\)
\(174\) −3.83527 5.35165i −0.290751 0.405708i
\(175\) 4.30235 1.35352i 0.325227 0.102317i
\(176\) −0.396407 0.228865i −0.0298803 0.0172514i
\(177\) −13.1979 + 1.30043i −0.992018 + 0.0977464i
\(178\) 5.45102i 0.408571i
\(179\) −10.3657 5.98466i −0.774771 0.447315i 0.0598026 0.998210i \(-0.480953\pi\)
−0.834574 + 0.550896i \(0.814286\pi\)
\(180\) −2.45957 + 7.24761i −0.183325 + 0.540205i
\(181\) 25.7422i 1.91340i 0.291075 + 0.956700i \(0.405987\pi\)
−0.291075 + 0.956700i \(0.594013\pi\)
\(182\) −7.35504 0.113779i −0.545192 0.00843387i
\(183\) −5.39189 + 3.86411i −0.398580 + 0.285643i
\(184\) 22.9282 1.69029
\(185\) 1.63374 2.82972i 0.120115 0.208045i
\(186\) −2.54756 3.55480i −0.186796 0.260651i
\(187\) 0.483312 + 0.279040i 0.0353433 + 0.0204055i
\(188\) 4.90764 8.50027i 0.357926 0.619946i
\(189\) −1.04172 13.7082i −0.0757740 0.997125i
\(190\) 2.69449 0.195479
\(191\) −7.66046 + 4.42277i −0.554291 + 0.320020i −0.750851 0.660472i \(-0.770356\pi\)
0.196560 + 0.980492i \(0.437023\pi\)
\(192\) −5.07678 + 0.500230i −0.366385 + 0.0361010i
\(193\) 4.83838 8.38032i 0.348274 0.603228i −0.637669 0.770311i \(-0.720101\pi\)
0.985943 + 0.167082i \(0.0534345\pi\)
\(194\) 3.51502 6.08820i 0.252364 0.437107i
\(195\) 2.49664 11.0582i 0.178788 0.791892i
\(196\) −8.91072 4.16892i −0.636480 0.297780i
\(197\) −6.49684 + 3.75095i −0.462881 + 0.267244i −0.713255 0.700905i \(-0.752780\pi\)
0.250374 + 0.968149i \(0.419446\pi\)
\(198\) 0.432989 1.27589i 0.0307712 0.0906735i
\(199\) 11.8757i 0.841846i 0.907096 + 0.420923i \(0.138294\pi\)
−0.907096 + 0.420923i \(0.861706\pi\)
\(200\) −3.87672 + 2.23823i −0.274126 + 0.158266i
\(201\) 7.25948 16.0238i 0.512045 1.13023i
\(202\) −2.84442 1.64223i −0.200133 0.115547i
\(203\) 3.91408 + 12.4414i 0.274715 + 0.873217i
\(204\) −2.32119 + 0.228714i −0.162516 + 0.0160132i
\(205\) −6.28412 −0.438902
\(206\) 0.659708 1.14265i 0.0459640 0.0796121i
\(207\) −5.11238 25.6906i −0.355335 1.78562i
\(208\) −2.77521 + 0.572199i −0.192426 + 0.0396749i
\(209\) 1.12114 0.0775507
\(210\) −3.85229 + 5.12909i −0.265833 + 0.353941i
\(211\) 10.9251 + 18.9229i 0.752118 + 1.30271i 0.946794 + 0.321839i \(0.104301\pi\)
−0.194677 + 0.980867i \(0.562366\pi\)
\(212\) 7.14979 4.12793i 0.491050 0.283508i
\(213\) −17.7265 8.03091i −1.21460 0.550269i
\(214\) −14.1363 −0.966335
\(215\) −0.667172 1.15558i −0.0455008 0.0788096i
\(216\) 3.96247 + 13.0567i 0.269612 + 0.888396i
\(217\) 2.59991 + 8.26415i 0.176493 + 0.561007i
\(218\) −10.2719 + 5.93051i −0.695703 + 0.401665i
\(219\) −11.8782 + 8.51251i −0.802652 + 0.575222i
\(220\) 1.28682 0.742948i 0.0867577 0.0500896i
\(221\) 3.38363 0.697645i 0.227608 0.0469287i
\(222\) −0.235736 2.39246i −0.0158216 0.160571i
\(223\) 24.0650 13.8939i 1.61151 0.930405i 0.622488 0.782629i \(-0.286122\pi\)
0.989021 0.147776i \(-0.0472115\pi\)
\(224\) 15.1290 + 3.36409i 1.01085 + 0.224773i
\(225\) 3.37230 + 3.84473i 0.224820 + 0.256315i
\(226\) −5.99471 + 10.3831i −0.398762 + 0.690676i
\(227\) 20.2085 1.34128 0.670641 0.741782i \(-0.266019\pi\)
0.670641 + 0.741782i \(0.266019\pi\)
\(228\) −3.80861 + 2.72945i −0.252231 + 0.180762i
\(229\) −20.9871 12.1169i −1.38687 0.800710i −0.393909 0.919150i \(-0.628877\pi\)
−0.992961 + 0.118440i \(0.962211\pi\)
\(230\) −6.11111 + 10.5847i −0.402954 + 0.697937i
\(231\) −1.60288 + 2.13414i −0.105462 + 0.140416i
\(232\) −6.47244 11.2106i −0.424937 0.736012i
\(233\) −1.70972 0.987109i −0.112008 0.0646676i 0.442950 0.896547i \(-0.353932\pi\)
−0.554957 + 0.831879i \(0.687265\pi\)
\(234\) −3.24627 7.68318i −0.212215 0.502265i
\(235\) 6.33903 + 10.9795i 0.413512 + 0.716225i
\(236\) −10.7607 −0.700461
\(237\) 9.08434 20.0518i 0.590091 1.30250i
\(238\) −1.90826 0.424323i −0.123694 0.0275047i
\(239\) 15.2639i 0.987340i −0.869649 0.493670i \(-0.835655\pi\)
0.869649 0.493670i \(-0.164345\pi\)
\(240\) −1.01971 + 2.25078i −0.0658217 + 0.145288i
\(241\) 7.72863i 0.497845i −0.968523 0.248922i \(-0.919924\pi\)
0.968523 0.248922i \(-0.0800764\pi\)
\(242\) 7.11928 4.11032i 0.457644 0.264221i
\(243\) 13.7463 7.35118i 0.881824 0.471578i
\(244\) −4.66135 + 2.69123i −0.298412 + 0.172288i
\(245\) 10.4183 7.27524i 0.665598 0.464798i
\(246\) −3.75812 + 2.69326i −0.239609 + 0.171716i
\(247\) 5.18599 4.61246i 0.329977 0.293484i
\(248\) −4.29928 7.44657i −0.273005 0.472858i
\(249\) 12.8454 1.26570i 0.814044 0.0802102i
\(250\) 9.38520i 0.593572i
\(251\) −3.19849 + 5.53994i −0.201887 + 0.349678i −0.949136 0.314866i \(-0.898041\pi\)
0.747250 + 0.664543i \(0.231374\pi\)
\(252\) 0.249506 11.1521i 0.0157174 0.702519i
\(253\) −2.54274 + 4.40415i −0.159861 + 0.276887i
\(254\) −4.49203 + 2.59348i −0.281855 + 0.162729i
\(255\) 1.24326 2.74423i 0.0778559 0.171851i
\(256\) −13.1734 −0.823337
\(257\) 11.9012 0.742376 0.371188 0.928558i \(-0.378950\pi\)
0.371188 + 0.928558i \(0.378950\pi\)
\(258\) −0.894252 0.405136i −0.0556737 0.0252226i
\(259\) −1.03370 + 4.64874i −0.0642308 + 0.288859i
\(260\) 2.89585 8.73073i 0.179593 0.541457i
\(261\) −11.1181 + 9.75192i −0.688192 + 0.603629i
\(262\) −11.2864 6.51622i −0.697278 0.402574i
\(263\) 2.82133 + 1.62890i 0.173971 + 0.100442i 0.584457 0.811425i \(-0.301308\pi\)
−0.410486 + 0.911867i \(0.634641\pi\)
\(264\) 1.09318 2.41296i 0.0672806 0.148508i
\(265\) 10.6638i 0.655074i
\(266\) −3.74615 + 1.17854i −0.229691 + 0.0722611i
\(267\) 12.1849 1.20062i 0.745707 0.0734767i
\(268\) 7.13689 12.3615i 0.435955 0.755096i
\(269\) −24.8332 −1.51410 −0.757052 0.653354i \(-0.773361\pi\)
−0.757052 + 0.653354i \(0.773361\pi\)
\(270\) −7.08373 1.65077i −0.431102 0.100463i
\(271\) 3.52655i 0.214223i −0.994247 0.107111i \(-0.965840\pi\)
0.994247 0.107111i \(-0.0341602\pi\)
\(272\) −0.753038 −0.0456596
\(273\) 1.36566 + 16.4662i 0.0826532 + 0.996578i
\(274\) −10.6587 −0.643916
\(275\) 0.992878i 0.0598728i
\(276\) −2.08414 21.1517i −0.125451 1.27318i
\(277\) −19.7137 −1.18448 −0.592240 0.805761i \(-0.701756\pi\)
−0.592240 + 0.805761i \(0.701756\pi\)
\(278\) −2.70187 + 4.67978i −0.162048 + 0.280675i
\(279\) −7.38513 + 6.47766i −0.442136 + 0.387807i
\(280\) −8.52635 + 9.29302i −0.509547 + 0.555364i
\(281\) 7.26918i 0.433643i 0.976211 + 0.216822i \(0.0695690\pi\)
−0.976211 + 0.216822i \(0.930431\pi\)
\(282\) 8.49659 + 3.84933i 0.505964 + 0.229224i
\(283\) 6.62817 + 3.82677i 0.394004 + 0.227478i 0.683893 0.729582i \(-0.260285\pi\)
−0.289890 + 0.957060i \(0.593619\pi\)
\(284\) −13.6750 7.89529i −0.811465 0.468499i
\(285\) −0.593478 6.02314i −0.0351546 0.356780i
\(286\) −0.509794 + 1.53698i −0.0301447 + 0.0908837i
\(287\) 8.73681 2.74861i 0.515718 0.162245i
\(288\) 3.42986 + 17.2357i 0.202107 + 1.01562i
\(289\) −16.0819 −0.945992
\(290\) 6.90046 0.405209
\(291\) −14.3835 6.51636i −0.843175 0.381996i
\(292\) −10.2688 + 5.92870i −0.600937 + 0.346951i
\(293\) −1.60733 + 2.78398i −0.0939012 + 0.162642i −0.909149 0.416470i \(-0.863267\pi\)
0.815248 + 0.579112i \(0.196600\pi\)
\(294\) 3.11243 8.81593i 0.181521 0.514155i
\(295\) 6.94961 12.0371i 0.404622 0.700825i
\(296\) 4.72660i 0.274728i
\(297\) −2.94743 0.686861i −0.171027 0.0398557i
\(298\) 8.87667 + 15.3748i 0.514211 + 0.890640i
\(299\) 6.35724 + 30.8331i 0.367649 + 1.78313i
\(300\) 2.41720 + 3.37290i 0.139557 + 0.194735i
\(301\) 1.43301 + 1.31478i 0.0825971 + 0.0757828i
\(302\) −8.85609 + 5.11307i −0.509611 + 0.294224i
\(303\) −3.04445 + 6.71999i −0.174899 + 0.386053i
\(304\) −1.31011 + 0.756395i −0.0751402 + 0.0433822i
\(305\) 6.95234i 0.398090i
\(306\) −0.432619 2.17398i −0.0247312 0.124278i
\(307\) 0.411157i 0.0234660i −0.999931 0.0117330i \(-0.996265\pi\)
0.999931 0.0117330i \(-0.00373481\pi\)
\(308\) −1.46411 + 1.59576i −0.0834256 + 0.0909271i
\(309\) −2.69953 1.22301i −0.153571 0.0695743i
\(310\) 4.58359 0.260331
\(311\) 6.37864 + 11.0481i 0.361700 + 0.626482i 0.988241 0.152906i \(-0.0488632\pi\)
−0.626541 + 0.779388i \(0.715530\pi\)
\(312\) −4.87047 15.6590i −0.275736 0.886515i
\(313\) −16.6392 9.60667i −0.940505 0.543001i −0.0503864 0.998730i \(-0.516045\pi\)
−0.890119 + 0.455729i \(0.849379\pi\)
\(314\) 7.24881 + 12.5553i 0.409074 + 0.708537i
\(315\) 12.3138 + 7.48152i 0.693805 + 0.421536i
\(316\) 8.93093 15.4688i 0.502404 0.870189i
\(317\) −10.7952 6.23260i −0.606318 0.350058i 0.165205 0.986259i \(-0.447171\pi\)
−0.771523 + 0.636201i \(0.780505\pi\)
\(318\) 4.57033 + 6.37733i 0.256291 + 0.357623i
\(319\) 2.87118 0.160755
\(320\) 2.67327 4.63024i 0.149440 0.258838i
\(321\) 3.11360 + 31.5995i 0.173784 + 1.76371i
\(322\) 3.86661 17.3889i 0.215478 0.969046i
\(323\) 1.59734 0.922222i 0.0888781 0.0513138i
\(324\) 11.6849 4.84230i 0.649161 0.269016i
\(325\) −4.08479 4.59271i −0.226583 0.254758i
\(326\) −3.56360 + 2.05745i −0.197370 + 0.113952i
\(327\) 15.5192 + 21.6552i 0.858215 + 1.19753i
\(328\) −7.87248 + 4.54518i −0.434685 + 0.250965i
\(329\) −13.6155 12.4922i −0.750646 0.688717i
\(330\) 0.822571 + 1.14780i 0.0452810 + 0.0631841i
\(331\) −2.79920 4.84835i −0.153858 0.266490i 0.778785 0.627291i \(-0.215836\pi\)
−0.932643 + 0.360802i \(0.882503\pi\)
\(332\) 10.4733 0.574795
\(333\) −5.29607 + 1.05391i −0.290223 + 0.0577538i
\(334\) −5.30074 + 3.06038i −0.290044 + 0.167457i
\(335\) 9.21848 + 15.9669i 0.503660 + 0.872364i
\(336\) 0.433227 3.57527i 0.0236345 0.195047i
\(337\) −2.46442 −0.134246 −0.0671229 0.997745i \(-0.521382\pi\)
−0.0671229 + 0.997745i \(0.521382\pi\)
\(338\) 3.96515 + 9.20689i 0.215676 + 0.500789i
\(339\) 24.5303 + 11.1133i 1.33231 + 0.603593i
\(340\) 1.22226 2.11702i 0.0662866 0.114812i
\(341\) 1.90716 0.103279
\(342\) −2.93633 3.34769i −0.158779 0.181022i
\(343\) −11.3024 + 14.6716i −0.610271 + 0.792192i
\(344\) −1.67161 0.965104i −0.0901272 0.0520349i
\(345\) 25.0066 + 11.3291i 1.34631 + 0.609940i
\(346\) 12.4626 7.19531i 0.669995 0.386822i
\(347\) 25.7386i 1.38172i −0.722987 0.690861i \(-0.757232\pi\)
0.722987 0.690861i \(-0.242768\pi\)
\(348\) −9.75366 + 6.98998i −0.522851 + 0.374703i
\(349\) 16.4024 9.46994i 0.878001 0.506914i 0.00800232 0.999968i \(-0.497453\pi\)
0.869999 + 0.493054i \(0.164119\pi\)
\(350\) 1.04372 + 3.31759i 0.0557890 + 0.177333i
\(351\) −16.4596 + 8.94881i −0.878549 + 0.477652i
\(352\) 1.70591 2.95472i 0.0909251 0.157487i
\(353\) 14.7276 25.5089i 0.783869 1.35770i −0.145804 0.989314i \(-0.546577\pi\)
0.929673 0.368387i \(-0.120090\pi\)
\(354\) −1.00278 10.1771i −0.0532970 0.540905i
\(355\) 17.6636 10.1981i 0.937486 0.541258i
\(356\) 9.93476 0.526541
\(357\) −0.528205 + 4.35910i −0.0279556 + 0.230708i
\(358\) 4.61483 7.99313i 0.243902 0.422450i
\(359\) −15.2203 8.78743i −0.803295 0.463783i 0.0413270 0.999146i \(-0.486841\pi\)
−0.844622 + 0.535363i \(0.820175\pi\)
\(360\) −13.5420 4.59563i −0.713724 0.242211i
\(361\) −7.64733 + 13.2456i −0.402491 + 0.697135i
\(362\) −19.8501 −1.04330
\(363\) −10.7561 15.0088i −0.564547 0.787756i
\(364\) −0.207368 + 13.4050i −0.0108691 + 0.702610i
\(365\) 15.3158i 0.801666i
\(366\) −2.97965 4.15774i −0.155749 0.217329i
\(367\) 0.647406 + 0.373780i 0.0337943 + 0.0195112i 0.516802 0.856105i \(-0.327122\pi\)
−0.483008 + 0.875616i \(0.660456\pi\)
\(368\) 6.86201i 0.357707i
\(369\) 6.84815 + 7.80752i 0.356500 + 0.406443i
\(370\) 2.18203 + 1.25979i 0.113438 + 0.0654935i
\(371\) −4.66425 14.8259i −0.242156 0.769723i
\(372\) −6.47882 + 4.64306i −0.335911 + 0.240731i
\(373\) −15.3884 26.6535i −0.796782 1.38007i −0.921701 0.387901i \(-0.873200\pi\)
0.124919 0.992167i \(-0.460133\pi\)
\(374\) −0.215171 + 0.372687i −0.0111262 + 0.0192712i
\(375\) −20.9792 + 2.06714i −1.08336 + 0.106747i
\(376\) 15.8825 + 9.16978i 0.819079 + 0.472895i
\(377\) 13.2811 11.8123i 0.684010 0.608363i
\(378\) 10.5705 0.803282i 0.543690 0.0413163i
\(379\) 4.18402 + 7.24693i 0.214918 + 0.372250i 0.953247 0.302191i \(-0.0977181\pi\)
−0.738329 + 0.674441i \(0.764385\pi\)
\(380\) 4.91085i 0.251921i
\(381\) 6.78673 + 9.47005i 0.347695 + 0.485165i
\(382\) −3.41044 5.90706i −0.174493 0.302231i
\(383\) 8.89052 + 15.3988i 0.454284 + 0.786843i 0.998647 0.0520069i \(-0.0165618\pi\)
−0.544363 + 0.838850i \(0.683228\pi\)
\(384\) 1.60409 + 16.2797i 0.0818583 + 0.830771i
\(385\) −0.839474 2.66838i −0.0427836 0.135993i
\(386\) 6.46215 + 3.73092i 0.328915 + 0.189899i
\(387\) −0.708657 + 2.08820i −0.0360231 + 0.106149i
\(388\) −11.0961 6.40632i −0.563317 0.325231i
\(389\) 3.30858 1.91021i 0.167752 0.0968516i −0.413773 0.910380i \(-0.635789\pi\)
0.581525 + 0.813528i \(0.302456\pi\)
\(390\) 8.52707 + 1.92518i 0.431785 + 0.0974854i
\(391\) 8.36640i 0.423107i
\(392\) 7.78951 16.6494i 0.393430 0.840923i
\(393\) −12.0802 + 26.6644i −0.609363 + 1.34504i
\(394\) −2.89240 5.00978i −0.145717 0.252389i
\(395\) 11.5358 + 19.9806i 0.580428 + 1.00533i
\(396\) −2.32538 0.789145i −0.116855 0.0396560i
\(397\) 1.15498 0.666826i 0.0579666 0.0334670i −0.470737 0.882274i \(-0.656012\pi\)
0.528703 + 0.848807i \(0.322678\pi\)
\(398\) −9.15748 −0.459023
\(399\) 3.45957 + 8.11439i 0.173195 + 0.406228i
\(400\) 0.669862 + 1.16024i 0.0334931 + 0.0580118i
\(401\) 4.06775i 0.203134i 0.994829 + 0.101567i \(0.0323856\pi\)
−0.994829 + 0.101567i \(0.967614\pi\)
\(402\) 12.3561 + 5.59786i 0.616266 + 0.279196i
\(403\) 8.82188 7.84624i 0.439449 0.390849i
\(404\) −2.99304 + 5.18410i −0.148909 + 0.257919i
\(405\) −2.12982 + 16.1982i −0.105832 + 0.804896i
\(406\) −9.59371 + 3.01819i −0.476128 + 0.149790i
\(407\) 0.907908 + 0.524181i 0.0450033 + 0.0259827i
\(408\) −0.427346 4.33708i −0.0211568 0.214718i
\(409\) 30.1305i 1.48986i −0.667145 0.744928i \(-0.732484\pi\)
0.667145 0.744928i \(-0.267516\pi\)
\(410\) 4.84575i 0.239315i
\(411\) 2.34764 + 23.8260i 0.115801 + 1.17525i
\(412\) −2.08254 1.20235i −0.102599 0.0592357i
\(413\) −4.39715 + 19.7748i −0.216370 + 0.973056i
\(414\) 19.8103 3.94221i 0.973623 0.193749i
\(415\) −6.76398 + 11.7155i −0.332030 + 0.575094i
\(416\) −4.26503 20.6858i −0.209110 1.01420i
\(417\) 11.0561 + 5.00889i 0.541418 + 0.245286i
\(418\) 0.864520i 0.0422851i
\(419\) −2.07087 3.58686i −0.101169 0.175229i 0.810998 0.585049i \(-0.198925\pi\)
−0.912166 + 0.409820i \(0.865592\pi\)
\(420\) 9.34804 + 7.02101i 0.456137 + 0.342590i
\(421\) 15.5075 0.755792 0.377896 0.925848i \(-0.376648\pi\)
0.377896 + 0.925848i \(0.376648\pi\)
\(422\) −14.5916 + 8.42449i −0.710310 + 0.410098i
\(423\) 6.73319 19.8407i 0.327379 0.964688i
\(424\) 7.71293 + 13.3592i 0.374573 + 0.648780i
\(425\) −0.816719 1.41460i −0.0396167 0.0686181i
\(426\) 6.19272 13.6691i 0.300038 0.662271i
\(427\) 3.04088 + 9.66584i 0.147159 + 0.467763i
\(428\) 25.7641i 1.24535i
\(429\) 3.54798 + 0.801039i 0.171298 + 0.0386745i
\(430\) 0.891076 0.514463i 0.0429715 0.0248096i
\(431\) −6.91490 3.99232i −0.333079 0.192303i 0.324128 0.946013i \(-0.394929\pi\)
−0.657207 + 0.753710i \(0.728262\pi\)
\(432\) 3.90765 1.18590i 0.188007 0.0570566i
\(433\) 27.4285 + 15.8358i 1.31813 + 0.761022i 0.983427 0.181302i \(-0.0580312\pi\)
0.334701 + 0.942324i \(0.391365\pi\)
\(434\) −6.37257 + 2.00482i −0.305893 + 0.0962342i
\(435\) −1.51987 15.4250i −0.0728721 0.739570i
\(436\) 10.8087 + 18.7211i 0.517641 + 0.896580i
\(437\) 8.40369 + 14.5556i 0.402003 + 0.696290i
\(438\) −6.56409 9.15938i −0.313644 0.437652i
\(439\) 30.8182i 1.47087i −0.677593 0.735437i \(-0.736977\pi\)
0.677593 0.735437i \(-0.263023\pi\)
\(440\) 1.38818 + 2.40440i 0.0661788 + 0.114625i
\(441\) −20.3922 5.01562i −0.971059 0.238839i
\(442\) 0.537961 + 2.60915i 0.0255882 + 0.124105i
\(443\) −6.41453 3.70343i −0.304763 0.175955i 0.339817 0.940491i \(-0.389635\pi\)
−0.644581 + 0.764536i \(0.722968\pi\)
\(444\) −4.36039 + 0.429642i −0.206935 + 0.0203899i
\(445\) −6.41620 + 11.1132i −0.304157 + 0.526815i
\(446\) 10.7137 + 18.5567i 0.507310 + 0.878687i
\(447\) 32.4130 23.2289i 1.53308 1.09869i
\(448\) −1.69143 + 7.60668i −0.0799125 + 0.359382i
\(449\) 15.2937 + 8.82982i 0.721754 + 0.416705i 0.815398 0.578901i \(-0.196518\pi\)
−0.0936437 + 0.995606i \(0.529851\pi\)
\(450\) −2.96471 + 2.60041i −0.139758 + 0.122585i
\(451\) 2.01624i 0.0949412i
\(452\) 18.9238 + 10.9257i 0.890101 + 0.513900i
\(453\) 13.3801 + 18.6703i 0.628653 + 0.877208i
\(454\) 15.5830i 0.731344i
\(455\) −14.8611 8.88933i −0.696697 0.416738i
\(456\) −5.09990 7.11628i −0.238825 0.333250i
\(457\) −1.63128 −0.0763083 −0.0381541 0.999272i \(-0.512148\pi\)
−0.0381541 + 0.999272i \(0.512148\pi\)
\(458\) 9.34349 16.1834i 0.436593 0.756201i
\(459\) −4.76434 + 1.44589i −0.222380 + 0.0674883i
\(460\) 19.2913 + 11.1378i 0.899459 + 0.519303i
\(461\) −4.15756 + 7.20111i −0.193637 + 0.335389i −0.946453 0.322842i \(-0.895362\pi\)
0.752816 + 0.658231i \(0.228695\pi\)
\(462\) −1.64566 1.23600i −0.0765628 0.0575038i
\(463\) −33.1765 −1.54184 −0.770922 0.636930i \(-0.780204\pi\)
−0.770922 + 0.636930i \(0.780204\pi\)
\(464\) −3.35514 + 1.93709i −0.155758 + 0.0899271i
\(465\) −1.00956 10.2459i −0.0468174 0.475144i
\(466\) 0.761170 1.31838i 0.0352605 0.0610730i
\(467\) 13.1401 22.7593i 0.608050 1.05317i −0.383512 0.923536i \(-0.625286\pi\)
0.991562 0.129637i \(-0.0413811\pi\)
\(468\) −14.0030 + 5.91649i −0.647289 + 0.273490i
\(469\) −19.8002 18.1667i −0.914289 0.838860i
\(470\) −8.46642 + 4.88809i −0.390527 + 0.225471i
\(471\) 26.4689 18.9690i 1.21962 0.874046i
\(472\) 20.1060i 0.925456i
\(473\) 0.370763 0.214060i 0.0170477 0.00984251i
\(474\) 15.4621 + 7.00503i 0.710198 + 0.321751i
\(475\) −2.84181 1.64072i −0.130391 0.0752813i
\(476\) −0.773350 + 3.47791i −0.0354464 + 0.159410i
\(477\) 13.2489 11.6209i 0.606628 0.532087i
\(478\) 11.7702 0.538354
\(479\) −16.8054 + 29.1078i −0.767857 + 1.32997i 0.170866 + 0.985294i \(0.445343\pi\)
−0.938723 + 0.344673i \(0.887990\pi\)
\(480\) −16.7768 7.60063i −0.765752 0.346920i
\(481\) 6.35619 1.31053i 0.289817 0.0597552i
\(482\) 5.95962 0.271453
\(483\) −39.7220 4.81323i −1.80741 0.219010i
\(484\) −7.49127 12.9753i −0.340512 0.589784i
\(485\) 14.3324 8.27482i 0.650801 0.375740i
\(486\) 5.66857 + 10.5999i 0.257131 + 0.480821i
\(487\) −12.0864 −0.547689 −0.273844 0.961774i \(-0.588295\pi\)
−0.273844 + 0.961774i \(0.588295\pi\)
\(488\) −5.02849 8.70960i −0.227629 0.394265i
\(489\) 5.38403 + 7.51275i 0.243474 + 0.339738i
\(490\) 5.61001 + 8.03362i 0.253435 + 0.362922i
\(491\) −0.903219 + 0.521474i −0.0407617 + 0.0235338i −0.520242 0.854019i \(-0.674158\pi\)
0.479481 + 0.877552i \(0.340825\pi\)
\(492\) 4.90862 + 6.84937i 0.221298 + 0.308793i
\(493\) 4.09070 2.36177i 0.184236 0.106369i
\(494\) 3.55671 + 3.99897i 0.160024 + 0.179922i
\(495\) 2.38455 2.09155i 0.107178 0.0940080i
\(496\) −2.22863 + 1.28670i −0.100069 + 0.0577746i
\(497\) −20.0972 + 21.9043i −0.901481 + 0.982541i
\(498\) 0.975991 + 9.90522i 0.0437352 + 0.443864i
\(499\) 8.90725 15.4278i 0.398743 0.690643i −0.594828 0.803853i \(-0.702780\pi\)
0.993571 + 0.113210i \(0.0361132\pi\)
\(500\) −17.1050 −0.764959
\(501\) 8.00856 + 11.1750i 0.357796 + 0.499260i
\(502\) −4.27190 2.46639i −0.190664 0.110080i
\(503\) 9.42384 16.3226i 0.420188 0.727787i −0.575769 0.817612i \(-0.695297\pi\)
0.995958 + 0.0898249i \(0.0286307\pi\)
\(504\) 20.8375 + 0.466195i 0.928174 + 0.0207660i
\(505\) −3.86601 6.69613i −0.172035 0.297974i
\(506\) −3.39609 1.96073i −0.150975 0.0871652i
\(507\) 19.7073 10.8914i 0.875232 0.483704i
\(508\) 4.72675 + 8.18697i 0.209715 + 0.363238i
\(509\) 18.5291 0.821289 0.410644 0.911796i \(-0.365304\pi\)
0.410644 + 0.911796i \(0.365304\pi\)
\(510\) 2.11611 + 0.958690i 0.0937027 + 0.0424515i
\(511\) 6.69897 + 21.2936i 0.296345 + 0.941972i
\(512\) 8.73109i 0.385863i
\(513\) −6.83652 + 7.30109i −0.301840 + 0.322351i
\(514\) 9.17714i 0.404786i
\(515\) 2.68994 1.55304i 0.118533 0.0684350i
\(516\) −0.738381 + 1.62982i −0.0325054 + 0.0717488i
\(517\) −3.52275 + 2.03386i −0.154930 + 0.0894491i
\(518\) −3.58469 0.797095i −0.157502 0.0350223i
\(519\) −18.8290 26.2736i −0.826502 1.15328i
\(520\) 16.3131 + 5.41082i 0.715378 + 0.237280i
\(521\) 15.3273 + 26.5477i 0.671502 + 1.16307i 0.977478 + 0.211036i \(0.0676837\pi\)
−0.305977 + 0.952039i \(0.598983\pi\)
\(522\) −7.51981 8.57327i −0.329133 0.375242i
\(523\) 4.90639i 0.214541i −0.994230 0.107271i \(-0.965789\pi\)
0.994230 0.107271i \(-0.0342111\pi\)
\(524\) −11.8762 + 20.5701i −0.518812 + 0.898609i
\(525\) 7.18610 3.06379i 0.313627 0.133715i
\(526\) −1.25606 + 2.17556i −0.0547668 + 0.0948589i
\(527\) 2.71722 1.56879i 0.118364 0.0683375i
\(528\) −0.722158 0.327170i −0.0314279 0.0142382i
\(529\) −53.2383 −2.31471
\(530\) −8.22298 −0.357184
\(531\) −22.5285 + 4.48312i −0.977652 + 0.194551i
\(532\) 2.14796 + 6.82756i 0.0931257 + 0.296012i
\(533\) −8.29500 9.32645i −0.359297 0.403973i
\(534\) 0.925809 + 9.39594i 0.0400637 + 0.406602i
\(535\) −28.8201 16.6393i −1.24600 0.719379i
\(536\) 23.0971 + 13.3351i 0.997641 + 0.575988i
\(537\) −18.8839 8.55525i −0.814900 0.369186i
\(538\) 19.1491i 0.825577i
\(539\) 2.33424 + 3.34267i 0.100543 + 0.143979i
\(540\) −3.00862 + 12.9105i −0.129470 + 0.555578i
\(541\) −5.85957 + 10.1491i −0.251923 + 0.436343i −0.964055 0.265702i \(-0.914396\pi\)
0.712132 + 0.702045i \(0.247730\pi\)
\(542\) 2.71936 0.116807
\(543\) 4.37209 + 44.3719i 0.187624 + 1.90418i
\(544\) 5.61296i 0.240654i
\(545\) −27.9224 −1.19606
\(546\) −12.6972 + 1.05307i −0.543392 + 0.0450673i
\(547\) −18.8378 −0.805447 −0.402724 0.915322i \(-0.631936\pi\)
−0.402724 + 0.915322i \(0.631936\pi\)
\(548\) 19.4260i 0.829840i
\(549\) −8.63773 + 7.57634i −0.368649 + 0.323350i
\(550\) 0.765618 0.0326461
\(551\) 4.74459 8.21786i 0.202126 0.350093i
\(552\) 39.5214 3.89416i 1.68214 0.165746i
\(553\) −24.7775 22.7333i −1.05365 0.966720i
\(554\) 15.2014i 0.645847i
\(555\) 2.33548 5.15507i 0.0991355 0.218821i
\(556\) 8.52914 + 4.92430i 0.361716 + 0.208837i
\(557\) −15.6752 9.05007i −0.664179 0.383464i 0.129688 0.991555i \(-0.458602\pi\)
−0.793867 + 0.608091i \(0.791936\pi\)
\(558\) −4.99499 5.69475i −0.211455 0.241078i
\(559\) 0.834360 2.51552i 0.0352897 0.106395i
\(560\) 2.78124 + 2.55179i 0.117529 + 0.107833i
\(561\) 0.880480 + 0.398896i 0.0371739 + 0.0168414i
\(562\) −5.60534 −0.236447
\(563\) −41.4101 −1.74523 −0.872613 0.488413i \(-0.837576\pi\)
−0.872613 + 0.488413i \(0.837576\pi\)
\(564\) 7.01561 15.4855i 0.295410 0.652056i
\(565\) −24.4432 + 14.1123i −1.02833 + 0.593709i
\(566\) −2.95086 + 5.11105i −0.124034 + 0.214833i
\(567\) −4.12384 23.4519i −0.173185 0.984889i
\(568\) 14.7521 25.5515i 0.618986 1.07212i
\(569\) 36.9416i 1.54867i −0.632774 0.774337i \(-0.718084\pi\)
0.632774 0.774337i \(-0.281916\pi\)
\(570\) 4.64450 0.457637i 0.194537 0.0191683i
\(571\) 4.11160 + 7.12150i 0.172065 + 0.298026i 0.939142 0.343530i \(-0.111623\pi\)
−0.767077 + 0.641556i \(0.778289\pi\)
\(572\) 2.80123 + 0.929126i 0.117125 + 0.0388487i
\(573\) −12.4532 + 8.92460i −0.520239 + 0.372831i
\(574\) 2.11948 + 6.73705i 0.0884654 + 0.281199i
\(575\) 12.8904 7.44230i 0.537569 0.310365i
\(576\) −8.66591 + 1.72450i −0.361079 + 0.0718541i
\(577\) 6.19495 3.57666i 0.257899 0.148898i −0.365477 0.930821i \(-0.619094\pi\)
0.623376 + 0.781922i \(0.285761\pi\)
\(578\) 12.4009i 0.515809i
\(579\) 6.91660 15.2669i 0.287444 0.634472i
\(580\) 12.5765i 0.522209i
\(581\) 4.27970 19.2466i 0.177552 0.798484i
\(582\) 5.02483 11.0913i 0.208286 0.459747i
\(583\) −3.42146 −0.141702
\(584\) −11.0776 19.1870i −0.458395 0.793963i
\(585\) 2.42532 19.4850i 0.100275 0.805607i
\(586\) −2.14675 1.23943i −0.0886815 0.0512003i
\(587\) −19.5383 33.8414i −0.806433 1.39678i −0.915319 0.402729i \(-0.868062\pi\)
0.108886 0.994054i \(-0.465272\pi\)
\(588\) −16.0675 5.67257i −0.662612 0.233933i
\(589\) 3.15156 5.45867i 0.129858 0.224921i
\(590\) 9.28191 + 5.35891i 0.382130 + 0.220623i
\(591\) −10.5616 + 7.56897i −0.434445 + 0.311346i
\(592\) −1.41459 −0.0581393
\(593\) 11.8909 20.5957i 0.488302 0.845763i −0.511608 0.859219i \(-0.670950\pi\)
0.999909 + 0.0134558i \(0.00428325\pi\)
\(594\) 0.529646 2.27279i 0.0217316 0.0932539i
\(595\) −3.39098 3.11123i −0.139017 0.127548i
\(596\) 28.0214 16.1782i 1.14780 0.662684i
\(597\) 2.01699 + 20.4702i 0.0825499 + 0.837789i
\(598\) −23.7758 + 4.90214i −0.972263 + 0.200463i
\(599\) −23.4451 + 13.5361i −0.957942 + 0.553068i −0.895539 0.444983i \(-0.853210\pi\)
−0.0624030 + 0.998051i \(0.519876\pi\)
\(600\) −6.30217 + 4.51647i −0.257285 + 0.184384i
\(601\) −14.6961 + 8.48480i −0.599467 + 0.346102i −0.768832 0.639451i \(-0.779162\pi\)
0.169365 + 0.985553i \(0.445828\pi\)
\(602\) −1.01384 + 1.10501i −0.0413211 + 0.0450367i
\(603\) 9.79169 28.8532i 0.398749 1.17499i
\(604\) 9.31883 + 16.1407i 0.379178 + 0.656755i
\(605\) 19.3524 0.786788
\(606\) −5.18185 2.34761i −0.210498 0.0953651i
\(607\) −11.6683 + 6.73667i −0.473600 + 0.273433i −0.717746 0.696305i \(-0.754826\pi\)
0.244145 + 0.969739i \(0.421493\pi\)
\(608\) −5.63798 9.76527i −0.228650 0.396034i
\(609\) 8.85979 + 20.7806i 0.359017 + 0.842071i
\(610\) 5.36102 0.217061
\(611\) −7.92754 + 23.9008i −0.320714 + 0.966924i
\(612\) −3.96220 + 0.788470i −0.160162 + 0.0318720i
\(613\) 18.0706 31.2992i 0.729864 1.26416i −0.227076 0.973877i \(-0.572917\pi\)
0.956940 0.290285i \(-0.0937501\pi\)
\(614\) 0.317047 0.0127950
\(615\) −10.8320 + 1.06731i −0.436787 + 0.0430379i
\(616\) −2.98164 2.73566i −0.120134 0.110223i
\(617\) 7.10815 + 4.10389i 0.286163 + 0.165216i 0.636210 0.771516i \(-0.280501\pi\)
−0.350047 + 0.936732i \(0.613834\pi\)
\(618\) 0.943072 2.08163i 0.0379359 0.0837355i
\(619\) 10.3240 5.96058i 0.414958 0.239576i −0.277960 0.960593i \(-0.589658\pi\)
0.692918 + 0.721017i \(0.256325\pi\)
\(620\) 8.35384i 0.335498i
\(621\) −13.1756 43.4147i −0.528717 1.74217i
\(622\) −8.51933 + 4.91864i −0.341594 + 0.197219i
\(623\) 4.05965 18.2570i 0.162646 0.731453i
\(624\) −4.68646 + 1.45765i −0.187609 + 0.0583526i
\(625\) 6.78521 11.7523i 0.271408 0.470093i
\(626\) 7.40780 12.8307i 0.296075 0.512817i
\(627\) 1.93251 0.190416i 0.0771769 0.00760447i
\(628\) 22.8827 13.2113i 0.913119 0.527189i
\(629\) 1.72472 0.0687689
\(630\) −5.76908 + 9.49531i −0.229846 + 0.378302i
\(631\) −19.3093 + 33.4446i −0.768690 + 1.33141i 0.169583 + 0.985516i \(0.445758\pi\)
−0.938273 + 0.345895i \(0.887575\pi\)
\(632\) 28.9031 + 16.6872i 1.14970 + 0.663781i
\(633\) 22.0456 + 30.7619i 0.876234 + 1.22268i
\(634\) 4.80602 8.32428i 0.190872 0.330599i
\(635\) −12.2108 −0.484569
\(636\) 11.6230 8.32967i 0.460883 0.330293i
\(637\) 24.5494 + 5.85876i 0.972684 + 0.232132i
\(638\) 2.21399i 0.0876529i
\(639\) −31.9193 10.8322i −1.26271 0.428515i
\(640\) −14.8478 8.57237i −0.586910 0.338853i
\(641\) 16.8297i 0.664734i 0.943150 + 0.332367i \(0.107847\pi\)
−0.943150 + 0.332367i \(0.892153\pi\)
\(642\) −24.3667 + 2.40093i −0.961678 + 0.0947570i
\(643\) 7.41784 + 4.28269i 0.292531 + 0.168893i 0.639083 0.769138i \(-0.279314\pi\)
−0.346552 + 0.938031i \(0.612647\pi\)
\(644\) −31.6922 7.04710i −1.24885 0.277695i
\(645\) −1.34627 1.87856i −0.0530094 0.0739681i
\(646\) 0.711135 + 1.23172i 0.0279792 + 0.0484614i
\(647\) 17.8175 30.8607i 0.700476 1.21326i −0.267823 0.963468i \(-0.586304\pi\)
0.968299 0.249793i \(-0.0803624\pi\)
\(648\) 9.04770 + 21.8329i 0.355427 + 0.857677i
\(649\) 3.86206 + 2.22976i 0.151599 + 0.0875259i
\(650\) 3.54149 3.14982i 0.138909 0.123546i
\(651\) 5.88507 + 13.8034i 0.230654 + 0.540997i
\(652\) 3.74981 + 6.49486i 0.146854 + 0.254358i
\(653\) 3.32890i 0.130270i 0.997876 + 0.0651350i \(0.0207478\pi\)
−0.997876 + 0.0651350i \(0.979252\pi\)
\(654\) −16.6985 + 11.9670i −0.652964 + 0.467948i
\(655\) −15.3400 26.5697i −0.599384 1.03816i
\(656\) 1.36029 + 2.35610i 0.0531105 + 0.0919902i
\(657\) −19.0287 + 16.6905i −0.742379 + 0.651157i
\(658\) 9.63286 10.4990i 0.375528 0.409295i
\(659\) 33.3537 + 19.2568i 1.29928 + 0.750137i 0.980279 0.197618i \(-0.0633206\pi\)
0.318997 + 0.947756i \(0.396654\pi\)
\(660\) 2.09192 1.49918i 0.0814279 0.0583555i
\(661\) 14.9963 + 8.65809i 0.583287 + 0.336761i 0.762438 0.647061i \(-0.224002\pi\)
−0.179152 + 0.983821i \(0.557335\pi\)
\(662\) 3.73862 2.15849i 0.145305 0.0838921i
\(663\) 5.71389 1.77721i 0.221909 0.0690213i
\(664\) 19.5690i 0.759424i
\(665\) −9.02463 2.00673i −0.349960 0.0778175i
\(666\) −0.812679 4.08386i −0.0314907 0.158246i
\(667\) 21.5214 + 37.2762i 0.833314 + 1.44334i
\(668\) 5.57771 + 9.66088i 0.215808 + 0.373791i
\(669\) 39.1211 28.0362i 1.51251 1.08394i
\(670\) −12.3122 + 7.10847i −0.475663 + 0.274624i
\(671\) 2.23064 0.0861129
\(672\) 26.6492 + 3.22917i 1.02802 + 0.124568i
\(673\) 2.57882 + 4.46665i 0.0994064 + 0.172177i 0.911439 0.411435i \(-0.134972\pi\)
−0.812033 + 0.583612i \(0.801639\pi\)
\(674\) 1.90034i 0.0731985i
\(675\) 6.46584 + 6.05442i 0.248870 + 0.233035i
\(676\) 16.7800 7.22670i 0.645386 0.277950i
\(677\) 5.51366 9.54995i 0.211907 0.367034i −0.740404 0.672162i \(-0.765366\pi\)
0.952311 + 0.305128i \(0.0986992\pi\)
\(678\) −8.56961 + 18.9156i −0.329114 + 0.726449i
\(679\) −16.3070 + 17.7733i −0.625806 + 0.682078i
\(680\) 3.95560 + 2.28377i 0.151690 + 0.0875785i
\(681\) 34.8334 3.43224i 1.33482 0.131524i
\(682\) 1.47063i 0.0563135i
\(683\) 36.2719i 1.38791i 0.720020 + 0.693954i \(0.244133\pi\)
−0.720020 + 0.693954i \(0.755867\pi\)
\(684\) −6.10134 + 5.35162i −0.233291 + 0.204624i
\(685\) −21.7303 12.5460i −0.830271 0.479357i
\(686\) −11.3134 8.71539i −0.431949 0.332755i
\(687\) −38.2336 17.3215i −1.45870 0.660857i
\(688\) −0.288839 + 0.500284i −0.0110119 + 0.0190731i
\(689\) −15.8265 + 14.0762i −0.602941 + 0.536260i
\(690\) −8.73600 + 19.2829i −0.332574 + 0.734087i
\(691\) 22.8502i 0.869263i 0.900608 + 0.434632i \(0.143121\pi\)
−0.900608 + 0.434632i \(0.856879\pi\)
\(692\) −13.1138 22.7138i −0.498513 0.863449i
\(693\) −2.40043 + 3.95086i −0.0911846 + 0.150081i
\(694\) 19.8473 0.753394
\(695\) −11.0168 + 6.36056i −0.417891 + 0.241270i
\(696\) −13.0606 18.2245i −0.495061 0.690796i
\(697\) −1.65852 2.87263i −0.0628208 0.108809i
\(698\) 7.30237 + 12.6481i 0.276399 + 0.478737i
\(699\) −3.11471 1.41110i −0.117809 0.0533727i
\(700\) 6.04648 1.90223i 0.228535 0.0718974i
\(701\) 27.8049i 1.05018i 0.851047 + 0.525089i \(0.175968\pi\)
−0.851047 + 0.525089i \(0.824032\pi\)
\(702\) −6.90052 12.6922i −0.260443 0.479035i
\(703\) 3.00061 1.73240i 0.113170 0.0653389i
\(704\) 1.48560 + 0.857711i 0.0559906 + 0.0323262i
\(705\) 12.7914 + 17.8488i 0.481751 + 0.672225i
\(706\) 19.6702 + 11.3566i 0.740296 + 0.427410i
\(707\) 8.30374 + 7.61868i 0.312294 + 0.286530i
\(708\) −18.5482 + 1.82761i −0.697085 + 0.0686859i
\(709\) −12.4442 21.5540i −0.467351 0.809476i 0.531953 0.846774i \(-0.321458\pi\)
−0.999304 + 0.0372977i \(0.988125\pi\)
\(710\) 7.86385 + 13.6206i 0.295125 + 0.511171i
\(711\) 12.2531 36.1062i 0.459526 1.35409i
\(712\) 18.5628i 0.695672i
\(713\) 14.2955 + 24.7605i 0.535370 + 0.927289i
\(714\) −3.36134 0.407304i −0.125795 0.0152430i
\(715\) −2.84846 + 2.53344i −0.106526 + 0.0947454i
\(716\) −14.5679 8.41078i −0.544428 0.314325i
\(717\) −2.59245 26.3104i −0.0968166 0.982581i
\(718\) 6.77608 11.7365i 0.252881 0.438003i
\(719\) 5.75338 + 9.96515i 0.214565 + 0.371638i 0.953138 0.302536i \(-0.0978333\pi\)
−0.738573 + 0.674174i \(0.764500\pi\)
\(720\) −1.37539 + 4.05287i −0.0512579 + 0.151042i
\(721\) −3.06054 + 3.33574i −0.113981 + 0.124230i
\(722\) −10.2138 5.89694i −0.380118 0.219461i
\(723\) −1.31264 13.3219i −0.0488177 0.495445i
\(724\) 36.1778i 1.34454i
\(725\) −7.27773 4.20180i −0.270288 0.156051i
\(726\) 11.5734 8.29412i 0.429530 0.307823i
\(727\) 18.2661i 0.677452i −0.940885 0.338726i \(-0.890004\pi\)
0.940885 0.338726i \(-0.109996\pi\)
\(728\) −25.0468 0.387462i −0.928296 0.0143603i
\(729\) 22.4460 15.0059i 0.831332 0.555776i
\(730\) 11.8102 0.437114
\(731\) 0.352162 0.609963i 0.0130252 0.0225603i
\(732\) −7.57770 + 5.43057i −0.280080 + 0.200720i
\(733\) −10.3435 5.97185i −0.382048 0.220575i 0.296661 0.954983i \(-0.404127\pi\)
−0.678709 + 0.734408i \(0.737460\pi\)
\(734\) −0.288226 + 0.499222i −0.0106386 + 0.0184266i
\(735\) 16.7223 14.3098i 0.616813 0.527825i
\(736\) 51.1477 1.88533
\(737\) −5.12293 + 2.95773i −0.188706 + 0.108949i
\(738\) −6.02046 + 5.28068i −0.221616 + 0.194384i
\(739\) −7.76677 + 13.4524i −0.285705 + 0.494856i −0.972780 0.231731i \(-0.925561\pi\)
0.687075 + 0.726587i \(0.258895\pi\)
\(740\) 2.29604 3.97685i 0.0844040 0.146192i
\(741\) 8.15573 8.83131i 0.299608 0.324426i
\(742\) 11.4324 3.59665i 0.419697 0.132037i
\(743\) −22.7023 + 13.1072i −0.832868 + 0.480856i −0.854833 0.518902i \(-0.826341\pi\)
0.0219659 + 0.999759i \(0.493007\pi\)
\(744\) −8.67543 12.1055i −0.318057 0.443809i
\(745\) 41.7936i 1.53120i
\(746\) 20.5528 11.8662i 0.752492 0.434451i
\(747\) 21.9267 4.36337i 0.802256 0.159647i
\(748\) 0.679242 + 0.392160i 0.0248355 + 0.0143388i
\(749\) 47.3464 + 10.5280i 1.73000 + 0.384685i
\(750\) −1.59400 16.1773i −0.0582045 0.590711i
\(751\) −2.26015 −0.0824740 −0.0412370 0.999149i \(-0.513130\pi\)
−0.0412370 + 0.999149i \(0.513130\pi\)
\(752\) 2.74436 4.75337i 0.100076 0.173337i
\(753\) −4.57233 + 10.0924i −0.166625 + 0.367789i
\(754\) 9.10857 + 10.2412i 0.331715 + 0.372962i
\(755\) −24.0736 −0.876130
\(756\) −1.46402 19.2654i −0.0532460 0.700674i
\(757\) 17.0033 + 29.4506i 0.617995 + 1.07040i 0.989851 + 0.142109i \(0.0453883\pi\)
−0.371856 + 0.928291i \(0.621278\pi\)
\(758\) −5.58818 + 3.22634i −0.202972 + 0.117186i
\(759\) −3.63492 + 8.02332i −0.131939 + 0.291228i
\(760\) 9.17579 0.332841
\(761\) −18.7506 32.4771i −0.679710 1.17729i −0.975068 0.221906i \(-0.928772\pi\)
0.295358 0.955387i \(-0.404561\pi\)
\(762\) −7.30245 + 5.23332i −0.264540 + 0.189583i
\(763\) 38.8205 12.2130i 1.40539 0.442138i
\(764\) −10.7659 + 6.21571i −0.389497 + 0.224876i
\(765\) 1.67693 4.94140i 0.0606294 0.178657i
\(766\) −11.8742 + 6.85557i −0.429032 + 0.247702i
\(767\) 27.0380 5.57475i 0.976286 0.201293i
\(768\) −22.7070 + 2.23739i −0.819369 + 0.0807349i
\(769\) 20.8816 12.0560i 0.753009 0.434750i −0.0737708 &min