Properties

Label 176.2.w.a.5.4
Level $176$
Weight $2$
Character 176.5
Analytic conductor $1.405$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [176,2,Mod(5,176)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(176, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("176.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 176 = 2^{4} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 176.w (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.40536707557\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.4
Character \(\chi\) \(=\) 176.5
Dual form 176.2.w.a.141.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.34050 + 0.450612i) q^{2} +(-3.05021 + 0.483105i) q^{3} +(1.59390 - 1.20809i) q^{4} +(-2.67423 + 1.36259i) q^{5} +(3.87112 - 2.02206i) q^{6} +(-0.413323 - 0.568890i) q^{7} +(-1.59224 + 2.33768i) q^{8} +(6.21720 - 2.02009i) q^{9} +O(q^{10})\) \(q+(-1.34050 + 0.450612i) q^{2} +(-3.05021 + 0.483105i) q^{3} +(1.59390 - 1.20809i) q^{4} +(-2.67423 + 1.36259i) q^{5} +(3.87112 - 2.02206i) q^{6} +(-0.413323 - 0.568890i) q^{7} +(-1.59224 + 2.33768i) q^{8} +(6.21720 - 2.02009i) q^{9} +(2.97081 - 3.03159i) q^{10} +(-0.659625 - 3.25037i) q^{11} +(-4.27808 + 4.45496i) q^{12} +(4.47635 + 2.28081i) q^{13} +(0.810409 + 0.576350i) q^{14} +(7.49867 - 5.44810i) q^{15} +(1.08102 - 3.85116i) q^{16} +(1.01561 - 3.12573i) q^{17} +(-7.42390 + 5.50948i) q^{18} +(1.40610 - 0.222704i) q^{19} +(-2.61631 + 5.40254i) q^{20} +(1.53555 + 1.53555i) q^{21} +(2.34889 + 4.05989i) q^{22} -0.0232537i q^{23} +(3.72732 - 7.89964i) q^{24} +(2.35592 - 3.24264i) q^{25} +(-7.02832 - 1.04034i) q^{26} +(-9.73293 + 4.95917i) q^{27} +(-1.34607 - 0.407419i) q^{28} +(0.705769 - 4.45605i) q^{29} +(-7.59701 + 10.6822i) q^{30} +(-1.05702 - 3.25318i) q^{31} +(0.286271 + 5.64961i) q^{32} +(3.58226 + 9.59563i) q^{33} +(0.0470620 + 4.64769i) q^{34} +(1.88048 + 0.958152i) q^{35} +(7.46912 - 10.7308i) q^{36} +(-1.06347 - 0.168438i) q^{37} +(-1.78453 + 0.932140i) q^{38} +(-14.7557 - 4.79440i) q^{39} +(1.07272 - 8.42106i) q^{40} +(-2.98024 + 4.10195i) q^{41} +(-2.75035 - 1.36647i) q^{42} +(-6.76232 - 6.76232i) q^{43} +(-4.97813 - 4.38386i) q^{44} +(-13.8736 + 13.8736i) q^{45} +(0.0104784 + 0.0311716i) q^{46} +(5.82825 + 4.23447i) q^{47} +(-1.43681 + 12.2691i) q^{48} +(2.01032 - 6.18713i) q^{49} +(-1.69694 + 5.40838i) q^{50} +(-1.58776 + 10.0248i) q^{51} +(9.89027 - 1.77247i) q^{52} +(6.19188 - 12.1522i) q^{53} +(10.8124 - 11.0336i) q^{54} +(6.19289 + 7.79342i) q^{55} +(1.98799 - 0.0604072i) q^{56} +(-4.18130 + 1.35859i) q^{57} +(1.06186 + 6.29137i) q^{58} +(12.8069 + 2.02841i) q^{59} +(5.37029 - 17.7428i) q^{60} +(1.87761 + 3.68502i) q^{61} +(2.88286 + 3.88459i) q^{62} +(-3.71892 - 2.70195i) q^{63} +(-2.92953 - 7.44432i) q^{64} -15.0786 q^{65} +(-9.12594 - 11.2488i) q^{66} +(2.33392 - 2.33392i) q^{67} +(-2.15739 - 6.20904i) q^{68} +(0.0112340 + 0.0709285i) q^{69} +(-2.95254 - 0.437039i) q^{70} +(12.0493 + 3.91507i) q^{71} +(-5.17695 + 17.7503i) q^{72} +(-7.74716 - 10.6630i) q^{73} +(1.50149 - 0.253423i) q^{74} +(-5.61949 + 11.0289i) q^{75} +(1.97213 - 2.05367i) q^{76} +(-1.57646 + 1.71871i) q^{77} +(21.9404 - 0.222166i) q^{78} +(0.936869 + 2.88339i) q^{79} +(2.35665 + 11.7718i) q^{80} +(11.4256 - 8.30121i) q^{81} +(2.14664 - 6.84162i) q^{82} +(-2.68950 - 5.27844i) q^{83} +(4.30261 + 0.592421i) q^{84} +(1.54310 + 9.74275i) q^{85} +(12.1121 + 6.01773i) q^{86} +13.9328i q^{87} +(8.64862 + 3.63338i) q^{88} -6.20205i q^{89} +(12.3460 - 24.8493i) q^{90} +(-0.552645 - 3.48926i) q^{91} +(-0.0280926 - 0.0370640i) q^{92} +(4.79576 + 9.41221i) q^{93} +(-9.72089 - 3.05004i) q^{94} +(-3.45677 + 2.51149i) q^{95} +(-3.60254 - 17.0942i) q^{96} +(1.23613 + 3.80443i) q^{97} +(0.0931555 + 9.19974i) q^{98} +(-10.6671 - 18.8757i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24} - 68 q^{26} - 18 q^{27} - 46 q^{28} - 22 q^{29} + 26 q^{30} - 12 q^{31} - 16 q^{32} - 16 q^{33} + 12 q^{34} - 26 q^{35} - 22 q^{36} + 18 q^{37} - 34 q^{38} + 14 q^{40} - 10 q^{42} - 40 q^{43} + 2 q^{44} - 24 q^{45} + 38 q^{46} - 12 q^{47} - 26 q^{48} + 8 q^{49} - 62 q^{50} + 6 q^{51} + 74 q^{52} - 30 q^{53} - 52 q^{54} - 96 q^{56} - 26 q^{58} + 10 q^{59} + 118 q^{60} - 6 q^{61} - 42 q^{62} - 28 q^{63} - 106 q^{64} - 32 q^{65} + 6 q^{66} + 24 q^{67} + 116 q^{68} + 12 q^{69} + 52 q^{70} - 98 q^{72} + 96 q^{74} - 46 q^{75} + 112 q^{76} - 14 q^{77} + 44 q^{78} - 52 q^{79} - 28 q^{80} + 66 q^{82} + 54 q^{83} + 120 q^{84} + 14 q^{85} + 86 q^{86} + 142 q^{88} + 228 q^{90} - 122 q^{91} + 146 q^{92} + 6 q^{93} + 56 q^{94} + 52 q^{95} + 86 q^{96} - 12 q^{97} + 140 q^{98} + 92 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/176\mathbb{Z}\right)^\times\).

\(n\) \(111\) \(133\) \(145\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34050 + 0.450612i −0.947879 + 0.318631i
\(3\) −3.05021 + 0.483105i −1.76104 + 0.278921i −0.951388 0.307994i \(-0.900342\pi\)
−0.809649 + 0.586914i \(0.800342\pi\)
\(4\) 1.59390 1.20809i 0.796949 0.604047i
\(5\) −2.67423 + 1.36259i −1.19595 + 0.609367i −0.934539 0.355861i \(-0.884188\pi\)
−0.261411 + 0.965228i \(0.584188\pi\)
\(6\) 3.87112 2.02206i 1.58038 0.825504i
\(7\) −0.413323 0.568890i −0.156221 0.215020i 0.723731 0.690082i \(-0.242426\pi\)
−0.879952 + 0.475062i \(0.842426\pi\)
\(8\) −1.59224 + 2.33768i −0.562943 + 0.826496i
\(9\) 6.21720 2.02009i 2.07240 0.673363i
\(10\) 2.97081 3.03159i 0.939453 0.958673i
\(11\) −0.659625 3.25037i −0.198885 0.980023i
\(12\) −4.27808 + 4.45496i −1.23497 + 1.28604i
\(13\) 4.47635 + 2.28081i 1.24152 + 0.632584i 0.946437 0.322889i \(-0.104654\pi\)
0.295079 + 0.955473i \(0.404654\pi\)
\(14\) 0.810409 + 0.576350i 0.216591 + 0.154036i
\(15\) 7.49867 5.44810i 1.93615 1.40669i
\(16\) 1.08102 3.85116i 0.270254 0.962789i
\(17\) 1.01561 3.12573i 0.246322 0.758100i −0.749095 0.662463i \(-0.769511\pi\)
0.995416 0.0956369i \(-0.0304888\pi\)
\(18\) −7.42390 + 5.50948i −1.74983 + 1.29860i
\(19\) 1.40610 0.222704i 0.322581 0.0510918i 0.00695591 0.999976i \(-0.497786\pi\)
0.315625 + 0.948884i \(0.397786\pi\)
\(20\) −2.61631 + 5.40254i −0.585024 + 1.20804i
\(21\) 1.53555 + 1.53555i 0.335085 + 0.335085i
\(22\) 2.34889 + 4.05989i 0.500784 + 0.865572i
\(23\) 0.0232537i 0.00484872i −0.999997 0.00242436i \(-0.999228\pi\)
0.999997 0.00242436i \(-0.000771699\pi\)
\(24\) 3.72732 7.89964i 0.760836 1.61251i
\(25\) 2.35592 3.24264i 0.471183 0.648528i
\(26\) −7.02832 1.04034i −1.37837 0.204027i
\(27\) −9.73293 + 4.95917i −1.87310 + 0.954394i
\(28\) −1.34607 0.407419i −0.254383 0.0769950i
\(29\) 0.705769 4.45605i 0.131058 0.827467i −0.831328 0.555782i \(-0.812419\pi\)
0.962386 0.271685i \(-0.0875810\pi\)
\(30\) −7.59701 + 10.6822i −1.38702 + 1.95029i
\(31\) −1.05702 3.25318i −0.189847 0.584288i 0.810152 0.586221i \(-0.199385\pi\)
−0.999998 + 0.00193274i \(0.999385\pi\)
\(32\) 0.286271 + 5.64961i 0.0506061 + 0.998719i
\(33\) 3.58226 + 9.59563i 0.623592 + 1.67038i
\(34\) 0.0470620 + 4.64769i 0.00807107 + 0.797072i
\(35\) 1.88048 + 0.958152i 0.317859 + 0.161957i
\(36\) 7.46912 10.7308i 1.24485 1.78846i
\(37\) −1.06347 0.168438i −0.174834 0.0276910i 0.0684035 0.997658i \(-0.478209\pi\)
−0.243238 + 0.969967i \(0.578209\pi\)
\(38\) −1.78453 + 0.932140i −0.289488 + 0.151213i
\(39\) −14.7557 4.79440i −2.36280 0.767719i
\(40\) 1.07272 8.42106i 0.169612 1.33149i
\(41\) −2.98024 + 4.10195i −0.465436 + 0.640618i −0.975625 0.219445i \(-0.929575\pi\)
0.510189 + 0.860062i \(0.329575\pi\)
\(42\) −2.75035 1.36647i −0.424389 0.210852i
\(43\) −6.76232 6.76232i −1.03124 1.03124i −0.999496 0.0317483i \(-0.989893\pi\)
−0.0317483 0.999496i \(-0.510107\pi\)
\(44\) −4.97813 4.38386i −0.750481 0.660892i
\(45\) −13.8736 + 13.8736i −2.06816 + 2.06816i
\(46\) 0.0104784 + 0.0311716i 0.00154495 + 0.00459600i
\(47\) 5.82825 + 4.23447i 0.850138 + 0.617661i 0.925184 0.379519i \(-0.123910\pi\)
−0.0750462 + 0.997180i \(0.523910\pi\)
\(48\) −1.43681 + 12.2691i −0.207386 + 1.77089i
\(49\) 2.01032 6.18713i 0.287188 0.883875i
\(50\) −1.69694 + 5.40838i −0.239984 + 0.764860i
\(51\) −1.58776 + 10.0248i −0.222332 + 1.40375i
\(52\) 9.89027 1.77247i 1.37153 0.245797i
\(53\) 6.19188 12.1522i 0.850520 1.66924i 0.113327 0.993558i \(-0.463849\pi\)
0.737193 0.675682i \(-0.236151\pi\)
\(54\) 10.8124 11.0336i 1.47138 1.50148i
\(55\) 6.19289 + 7.79342i 0.835050 + 1.05086i
\(56\) 1.98799 0.0604072i 0.265657 0.00807225i
\(57\) −4.18130 + 1.35859i −0.553826 + 0.179949i
\(58\) 1.06186 + 6.29137i 0.139430 + 0.826098i
\(59\) 12.8069 + 2.02841i 1.66731 + 0.264076i 0.917547 0.397627i \(-0.130166\pi\)
0.749766 + 0.661703i \(0.230166\pi\)
\(60\) 5.37029 17.7428i 0.693301 2.29059i
\(61\) 1.87761 + 3.68502i 0.240404 + 0.471819i 0.979410 0.201879i \(-0.0647049\pi\)
−0.739007 + 0.673698i \(0.764705\pi\)
\(62\) 2.88286 + 3.88459i 0.366124 + 0.493343i
\(63\) −3.71892 2.70195i −0.468540 0.340414i
\(64\) −2.92953 7.44432i −0.366191 0.930540i
\(65\) −15.0786 −1.87027
\(66\) −9.12594 11.2488i −1.12333 1.38463i
\(67\) 2.33392 2.33392i 0.285134 0.285134i −0.550018 0.835153i \(-0.685379\pi\)
0.835153 + 0.550018i \(0.185379\pi\)
\(68\) −2.15739 6.20904i −0.261622 0.752956i
\(69\) 0.0112340 + 0.0709285i 0.00135241 + 0.00853879i
\(70\) −2.95254 0.437039i −0.352897 0.0522362i
\(71\) 12.0493 + 3.91507i 1.42999 + 0.464633i 0.918763 0.394810i \(-0.129190\pi\)
0.511231 + 0.859443i \(0.329190\pi\)
\(72\) −5.17695 + 17.7503i −0.610110 + 2.09189i
\(73\) −7.74716 10.6630i −0.906736 1.24802i −0.968269 0.249910i \(-0.919599\pi\)
0.0615328 0.998105i \(-0.480401\pi\)
\(74\) 1.50149 0.253423i 0.174545 0.0294598i
\(75\) −5.61949 + 11.0289i −0.648883 + 1.27351i
\(76\) 1.97213 2.05367i 0.226219 0.235572i
\(77\) −1.57646 + 1.71871i −0.179655 + 0.195865i
\(78\) 21.9404 0.222166i 2.48426 0.0251554i
\(79\) 0.936869 + 2.88339i 0.105406 + 0.324406i 0.989826 0.142286i \(-0.0454454\pi\)
−0.884420 + 0.466693i \(0.845445\pi\)
\(80\) 2.35665 + 11.7718i 0.263481 + 1.31613i
\(81\) 11.4256 8.30121i 1.26952 0.922357i
\(82\) 2.14664 6.84162i 0.237056 0.755530i
\(83\) −2.68950 5.27844i −0.295211 0.579384i 0.694993 0.719017i \(-0.255408\pi\)
−0.990203 + 0.139633i \(0.955408\pi\)
\(84\) 4.30261 + 0.592421i 0.469453 + 0.0646385i
\(85\) 1.54310 + 9.74275i 0.167373 + 1.05675i
\(86\) 12.1121 + 6.01773i 1.30608 + 0.648908i
\(87\) 13.9328i 1.49376i
\(88\) 8.64862 + 3.63338i 0.921946 + 0.387319i
\(89\) 6.20205i 0.657416i −0.944432 0.328708i \(-0.893387\pi\)
0.944432 0.328708i \(-0.106613\pi\)
\(90\) 12.3460 24.8493i 1.30139 2.61935i
\(91\) −0.552645 3.48926i −0.0579329 0.365774i
\(92\) −0.0280926 0.0370640i −0.00292886 0.00386418i
\(93\) 4.79576 + 9.41221i 0.497297 + 0.976000i
\(94\) −9.72089 3.05004i −1.00263 0.314588i
\(95\) −3.45677 + 2.51149i −0.354657 + 0.257673i
\(96\) −3.60254 17.0942i −0.367683 1.74467i
\(97\) 1.23613 + 3.80443i 0.125510 + 0.386282i 0.993994 0.109437i \(-0.0349048\pi\)
−0.868483 + 0.495718i \(0.834905\pi\)
\(98\) 0.0931555 + 9.19974i 0.00941013 + 0.929314i
\(99\) −10.6671 18.8757i −1.07208 1.89708i
\(100\) −0.162327 8.01461i −0.0162327 0.801461i
\(101\) −3.04887 + 5.98373i −0.303373 + 0.595404i −0.991488 0.130198i \(-0.958439\pi\)
0.688115 + 0.725602i \(0.258439\pi\)
\(102\) −2.38887 14.1537i −0.236534 1.40142i
\(103\) 1.00379 + 1.38160i 0.0989065 + 0.136133i 0.855602 0.517635i \(-0.173187\pi\)
−0.756695 + 0.653768i \(0.773187\pi\)
\(104\) −12.4592 + 6.83268i −1.22173 + 0.669999i
\(105\) −6.19874 2.01409i −0.604935 0.196555i
\(106\) −2.82428 + 19.0803i −0.274319 + 1.85324i
\(107\) −1.67332 10.5649i −0.161766 1.02135i −0.926306 0.376773i \(-0.877034\pi\)
0.764540 0.644577i \(-0.222966\pi\)
\(108\) −9.52214 + 19.6627i −0.916268 + 1.89204i
\(109\) 5.67118 5.67118i 0.543201 0.543201i −0.381265 0.924466i \(-0.624512\pi\)
0.924466 + 0.381265i \(0.124512\pi\)
\(110\) −11.8134 7.65651i −1.12636 0.730020i
\(111\) 3.32519 0.315613
\(112\) −2.63769 + 0.976791i −0.249239 + 0.0922980i
\(113\) −11.5671 8.40398i −1.08814 0.790580i −0.109056 0.994036i \(-0.534783\pi\)
−0.979084 + 0.203456i \(0.934783\pi\)
\(114\) 4.99285 3.70533i 0.467623 0.347036i
\(115\) 0.0316851 + 0.0621856i 0.00295465 + 0.00579883i
\(116\) −4.25840 7.95512i −0.395383 0.738614i
\(117\) 32.4378 + 5.13764i 2.99887 + 0.474975i
\(118\) −18.0817 + 3.05184i −1.66455 + 0.280945i
\(119\) −2.19797 + 0.714163i −0.201487 + 0.0654672i
\(120\) 0.796241 + 26.2042i 0.0726865 + 2.39211i
\(121\) −10.1298 + 4.28805i −0.920890 + 0.389823i
\(122\) −4.17746 4.09371i −0.378210 0.370627i
\(123\) 7.10869 13.9516i 0.640969 1.25797i
\(124\) −5.61493 3.90825i −0.504235 0.350971i
\(125\) 0.465701 2.94032i 0.0416535 0.262990i
\(126\) 6.20275 + 1.94619i 0.552585 + 0.173380i
\(127\) −0.790508 + 2.43293i −0.0701462 + 0.215888i −0.979984 0.199076i \(-0.936206\pi\)
0.909838 + 0.414964i \(0.136206\pi\)
\(128\) 7.28154 + 8.65905i 0.643604 + 0.765359i
\(129\) 23.8934 + 17.3596i 2.10370 + 1.52842i
\(130\) 20.2129 6.79459i 1.77279 0.595925i
\(131\) −1.80218 + 1.80218i −0.157457 + 0.157457i −0.781439 0.623982i \(-0.785514\pi\)
0.623982 + 0.781439i \(0.285514\pi\)
\(132\) 17.3022 + 10.9667i 1.50596 + 0.954531i
\(133\) −0.707866 0.707866i −0.0613798 0.0613798i
\(134\) −2.07694 + 4.18033i −0.179420 + 0.361125i
\(135\) 19.2707 26.5239i 1.65856 2.28281i
\(136\) 5.68986 + 7.35109i 0.487901 + 0.630350i
\(137\) 3.60175 + 1.17028i 0.307718 + 0.0999837i 0.458805 0.888537i \(-0.348277\pi\)
−0.151087 + 0.988520i \(0.548277\pi\)
\(138\) −0.0470204 0.0900177i −0.00400264 0.00766281i
\(139\) −8.75289 1.38632i −0.742410 0.117586i −0.226239 0.974072i \(-0.572643\pi\)
−0.516171 + 0.856486i \(0.672643\pi\)
\(140\) 4.15483 0.744600i 0.351147 0.0629302i
\(141\) −19.8231 10.1004i −1.66940 0.850603i
\(142\) −17.9164 + 0.181419i −1.50351 + 0.0152244i
\(143\) 4.46077 16.0543i 0.373028 1.34252i
\(144\) −1.05879 26.1272i −0.0882321 2.17726i
\(145\) 4.18436 + 12.8781i 0.347493 + 1.06947i
\(146\) 15.1900 + 10.8029i 1.25713 + 0.894053i
\(147\) −3.14285 + 19.8432i −0.259218 + 1.63664i
\(148\) −1.89856 + 1.01630i −0.156060 + 0.0835397i
\(149\) −9.36889 + 4.77369i −0.767529 + 0.391076i −0.793487 0.608587i \(-0.791737\pi\)
0.0259575 + 0.999663i \(0.491737\pi\)
\(150\) 2.56320 17.3165i 0.209285 1.41388i
\(151\) −4.78422 + 6.58491i −0.389334 + 0.535872i −0.958027 0.286677i \(-0.907449\pi\)
0.568693 + 0.822550i \(0.307449\pi\)
\(152\) −1.71824 + 3.64161i −0.139367 + 0.295374i
\(153\) 21.4849i 1.73695i
\(154\) 1.33878 3.01430i 0.107882 0.242900i
\(155\) 7.25945 + 7.25945i 0.583093 + 0.583093i
\(156\) −29.3111 + 10.1844i −2.34677 + 0.815407i
\(157\) 0.155034 0.0245549i 0.0123730 0.00195969i −0.150245 0.988649i \(-0.548006\pi\)
0.162618 + 0.986689i \(0.448006\pi\)
\(158\) −2.55516 3.44302i −0.203278 0.273912i
\(159\) −13.0157 + 40.0582i −1.03221 + 3.17682i
\(160\) −8.46363 14.7183i −0.669109 1.16358i
\(161\) −0.0132288 + 0.00961127i −0.00104257 + 0.000757474i
\(162\) −11.5755 + 16.2763i −0.909456 + 1.27879i
\(163\) 13.6751 + 6.96780i 1.07111 + 0.545760i 0.898385 0.439209i \(-0.144741\pi\)
0.172730 + 0.984969i \(0.444741\pi\)
\(164\) 0.205344 + 10.1385i 0.0160347 + 0.791685i
\(165\) −22.6546 20.7797i −1.76366 1.61770i
\(166\) 5.98381 + 5.86384i 0.464434 + 0.455122i
\(167\) −10.9701 + 3.56439i −0.848890 + 0.275821i −0.700981 0.713180i \(-0.747254\pi\)
−0.147909 + 0.989001i \(0.547254\pi\)
\(168\) −6.03461 + 1.14466i −0.465580 + 0.0883128i
\(169\) 7.19437 + 9.90220i 0.553413 + 0.761707i
\(170\) −6.45873 12.3648i −0.495362 0.948341i
\(171\) 8.29210 4.22504i 0.634113 0.323097i
\(172\) −18.9480 2.60892i −1.44477 0.198929i
\(173\) −2.80563 + 0.444367i −0.213308 + 0.0337846i −0.262174 0.965021i \(-0.584439\pi\)
0.0488659 + 0.998805i \(0.484439\pi\)
\(174\) −6.27830 18.6770i −0.475957 1.41590i
\(175\) −2.81846 −0.213056
\(176\) −13.2307 0.973383i −0.997305 0.0733715i
\(177\) −40.0435 −3.00986
\(178\) 2.79472 + 8.31386i 0.209473 + 0.623151i
\(179\) −13.2243 + 2.09452i −0.988431 + 0.156552i −0.629658 0.776873i \(-0.716805\pi\)
−0.358773 + 0.933425i \(0.616805\pi\)
\(180\) −5.35250 + 38.8738i −0.398951 + 2.89748i
\(181\) −3.25871 + 1.66039i −0.242218 + 0.123416i −0.570886 0.821029i \(-0.693400\pi\)
0.328668 + 0.944445i \(0.393400\pi\)
\(182\) 2.31313 + 4.42834i 0.171460 + 0.328250i
\(183\) −7.50736 10.3330i −0.554960 0.763837i
\(184\) 0.0543597 + 0.0370255i 0.00400745 + 0.00272955i
\(185\) 3.07348 0.998635i 0.225967 0.0734211i
\(186\) −10.6700 10.4561i −0.782361 0.766676i
\(187\) −10.8297 1.23930i −0.791945 0.0906264i
\(188\) 14.4053 0.291762i 1.05061 0.0212790i
\(189\) 6.84407 + 3.48723i 0.497832 + 0.253658i
\(190\) 3.50210 4.92432i 0.254069 0.357248i
\(191\) 14.7450 10.7129i 1.06691 0.775158i 0.0915589 0.995800i \(-0.470815\pi\)
0.975355 + 0.220641i \(0.0708150\pi\)
\(192\) 12.5321 + 21.2914i 0.904423 + 1.53658i
\(193\) 7.06714 21.7504i 0.508704 1.56563i −0.285750 0.958304i \(-0.592243\pi\)
0.794453 0.607325i \(-0.207757\pi\)
\(194\) −3.37137 4.54284i −0.242050 0.326157i
\(195\) 45.9927 7.28453i 3.29361 0.521656i
\(196\) −4.27039 12.2903i −0.305028 0.877878i
\(197\) 12.7337 + 12.7337i 0.907240 + 0.907240i 0.996049 0.0888090i \(-0.0283061\pi\)
−0.0888090 + 0.996049i \(0.528306\pi\)
\(198\) 22.8048 + 20.4962i 1.62067 + 1.45660i
\(199\) 3.30447i 0.234247i −0.993117 0.117124i \(-0.962633\pi\)
0.993117 0.117124i \(-0.0373674\pi\)
\(200\) 3.82908 + 10.6705i 0.270757 + 0.754515i
\(201\) −5.99142 + 8.24648i −0.422602 + 0.581662i
\(202\) 1.39067 9.39507i 0.0978471 0.661035i
\(203\) −2.82671 + 1.44028i −0.198396 + 0.101088i
\(204\) 9.58011 + 17.8966i 0.670742 + 1.25301i
\(205\) 2.38058 15.0304i 0.166267 1.04977i
\(206\) −1.96815 1.39972i −0.137128 0.0975230i
\(207\) −0.0469745 0.144573i −0.00326495 0.0100485i
\(208\) 13.6228 14.7735i 0.944569 1.02436i
\(209\) −1.65137 4.42343i −0.114227 0.305975i
\(210\) 9.21701 0.0933304i 0.636034 0.00644041i
\(211\) 4.86015 + 2.47637i 0.334587 + 0.170480i 0.613210 0.789920i \(-0.289878\pi\)
−0.278623 + 0.960401i \(0.589878\pi\)
\(212\) −4.81184 26.8498i −0.330479 1.84405i
\(213\) −38.6444 6.12067i −2.64787 0.419381i
\(214\) 7.00378 + 13.4083i 0.478768 + 0.916573i
\(215\) 27.2982 + 8.86973i 1.86172 + 0.604910i
\(216\) 3.90420 30.6487i 0.265647 2.08538i
\(217\) −1.41381 + 1.94594i −0.0959756 + 0.132099i
\(218\) −5.04673 + 10.1577i −0.341808 + 0.687969i
\(219\) 28.7818 + 28.7818i 1.94489 + 1.94489i
\(220\) 19.2860 + 4.94032i 1.30026 + 0.333076i
\(221\) 11.6754 11.6754i 0.785373 0.785373i
\(222\) −4.45743 + 1.49837i −0.299163 + 0.100564i
\(223\) 0.931322 + 0.676645i 0.0623659 + 0.0453115i 0.618531 0.785760i \(-0.287728\pi\)
−0.556165 + 0.831072i \(0.687728\pi\)
\(224\) 3.09568 2.49797i 0.206839 0.166902i
\(225\) 8.09677 24.9193i 0.539785 1.66129i
\(226\) 19.2926 + 6.05329i 1.28333 + 0.402659i
\(227\) −0.0598241 + 0.377715i −0.00397067 + 0.0250698i −0.989594 0.143887i \(-0.954040\pi\)
0.985623 + 0.168957i \(0.0540398\pi\)
\(228\) −5.02326 + 7.21685i −0.332673 + 0.477947i
\(229\) −3.42790 + 6.72763i −0.226522 + 0.444574i −0.976094 0.217348i \(-0.930259\pi\)
0.749572 + 0.661922i \(0.230259\pi\)
\(230\) −0.0704956 0.0690822i −0.00464834 0.00455515i
\(231\) 3.97822 6.00400i 0.261748 0.395034i
\(232\) 9.29308 + 8.74497i 0.610120 + 0.574136i
\(233\) 9.35704 3.04029i 0.613000 0.199176i 0.0139700 0.999902i \(-0.495553\pi\)
0.599030 + 0.800727i \(0.295553\pi\)
\(234\) −45.7980 + 7.72984i −2.99391 + 0.505315i
\(235\) −21.3559 3.38244i −1.39310 0.220646i
\(236\) 22.8634 12.2388i 1.48828 0.796680i
\(237\) −4.25062 8.34231i −0.276108 0.541892i
\(238\) 2.62457 1.94777i 0.170126 0.126255i
\(239\) 1.78726 + 1.29852i 0.115608 + 0.0839944i 0.644087 0.764952i \(-0.277237\pi\)
−0.528479 + 0.848946i \(0.677237\pi\)
\(240\) −12.8753 34.7680i −0.831097 2.24427i
\(241\) 10.6895 0.688572 0.344286 0.938865i \(-0.388121\pi\)
0.344286 + 0.938865i \(0.388121\pi\)
\(242\) 11.6468 10.3128i 0.748682 0.662929i
\(243\) −7.66792 + 7.66792i −0.491897 + 0.491897i
\(244\) 7.44457 + 3.60521i 0.476590 + 0.230800i
\(245\) 3.05444 + 19.2850i 0.195141 + 1.23207i
\(246\) −3.24246 + 21.9054i −0.206732 + 1.39664i
\(247\) 6.80213 + 2.21014i 0.432809 + 0.140628i
\(248\) 9.28793 + 2.70886i 0.589784 + 0.172013i
\(249\) 10.7536 + 14.8010i 0.681479 + 0.937976i
\(250\) 0.700670 + 4.15135i 0.0443143 + 0.262555i
\(251\) 5.54161 10.8760i 0.349783 0.686488i −0.647347 0.762196i \(-0.724121\pi\)
0.997130 + 0.0757073i \(0.0241215\pi\)
\(252\) −9.19179 + 0.186169i −0.579028 + 0.0117276i
\(253\) −0.0755830 + 0.0153387i −0.00475186 + 0.000964336i
\(254\) −0.0366311 3.61757i −0.00229844 0.226986i
\(255\) −9.41355 28.9719i −0.589499 1.81429i
\(256\) −13.6628 8.32633i −0.853925 0.520396i
\(257\) 0.875019 0.635738i 0.0545822 0.0396563i −0.560160 0.828385i \(-0.689260\pi\)
0.614742 + 0.788728i \(0.289260\pi\)
\(258\) −39.8516 12.5039i −2.48105 0.778458i
\(259\) 0.343736 + 0.674619i 0.0213587 + 0.0419188i
\(260\) −24.0337 + 18.2163i −1.49051 + 1.12973i
\(261\) −4.61371 29.1298i −0.285582 1.80309i
\(262\) 1.60374 3.22791i 0.0990795 0.199421i
\(263\) 15.0798i 0.929859i −0.885348 0.464930i \(-0.846080\pi\)
0.885348 0.464930i \(-0.153920\pi\)
\(264\) −28.1354 6.90436i −1.73161 0.424934i
\(265\) 40.9348i 2.51461i
\(266\) 1.26787 + 0.629924i 0.0777381 + 0.0386231i
\(267\) 2.99624 + 18.9175i 0.183367 + 1.15773i
\(268\) 0.900435 6.53963i 0.0550028 0.399472i
\(269\) −8.13360 15.9631i −0.495915 0.973287i −0.994329 0.106348i \(-0.966084\pi\)
0.498414 0.866939i \(-0.333916\pi\)
\(270\) −13.8805 + 44.2390i −0.844740 + 2.69230i
\(271\) 0.457786 0.332601i 0.0278085 0.0202041i −0.573794 0.819000i \(-0.694529\pi\)
0.601603 + 0.798795i \(0.294529\pi\)
\(272\) −10.9398 7.29023i −0.663321 0.442035i
\(273\) 3.37136 + 10.3760i 0.204044 + 0.627983i
\(274\) −5.35550 + 0.0542292i −0.323537 + 0.00327610i
\(275\) −12.0938 5.51867i −0.729284 0.332788i
\(276\) 0.103594 + 0.0994810i 0.00623563 + 0.00598805i
\(277\) 8.29193 16.2738i 0.498214 0.977799i −0.495789 0.868443i \(-0.665121\pi\)
0.994003 0.109356i \(-0.0348790\pi\)
\(278\) 12.3580 2.08579i 0.741182 0.125097i
\(279\) −13.1434 18.0904i −0.786876 1.08304i
\(280\) −5.23404 + 2.87036i −0.312794 + 0.171537i
\(281\) −0.325484 0.105756i −0.0194168 0.00630889i 0.299293 0.954161i \(-0.403249\pi\)
−0.318709 + 0.947853i \(0.603249\pi\)
\(282\) 31.1242 + 4.60704i 1.85342 + 0.274345i
\(283\) 1.21298 + 7.65844i 0.0721041 + 0.455247i 0.997153 + 0.0754001i \(0.0240234\pi\)
−0.925049 + 0.379847i \(0.875977\pi\)
\(284\) 23.9352 8.31652i 1.42029 0.493495i
\(285\) 9.33054 9.33054i 0.552694 0.552694i
\(286\) 1.25457 + 23.5309i 0.0741843 + 1.39141i
\(287\) 3.56536 0.210457
\(288\) 13.1925 + 34.5464i 0.777377 + 2.03567i
\(289\) 5.01459 + 3.64332i 0.294976 + 0.214313i
\(290\) −11.4122 15.3777i −0.670148 0.903008i
\(291\) −5.60841 11.0071i −0.328771 0.645249i
\(292\) −25.2301 7.63651i −1.47648 0.446893i
\(293\) −1.06028 0.167932i −0.0619421 0.00981067i 0.125386 0.992108i \(-0.459983\pi\)
−0.187329 + 0.982297i \(0.559983\pi\)
\(294\) −4.72858 28.0161i −0.275777 1.63393i
\(295\) −37.0124 + 12.0260i −2.15494 + 0.700183i
\(296\) 2.08706 2.21787i 0.121308 0.128911i
\(297\) 22.5392 + 28.3644i 1.30786 + 1.64587i
\(298\) 10.4079 10.6209i 0.602916 0.615251i
\(299\) 0.0530373 0.104091i 0.00306722 0.00601977i
\(300\) 4.36703 + 24.3678i 0.252130 + 1.40687i
\(301\) −1.05200 + 6.64204i −0.0606360 + 0.382841i
\(302\) 3.44602 10.9829i 0.198296 0.631996i
\(303\) 6.40889 19.7245i 0.368181 1.13315i
\(304\) 0.662348 5.65585i 0.0379882 0.324385i
\(305\) −10.0423 7.29617i −0.575021 0.417778i
\(306\) 9.68135 + 28.8005i 0.553446 + 1.64642i
\(307\) −1.16530 + 1.16530i −0.0665072 + 0.0665072i −0.739578 0.673071i \(-0.764975\pi\)
0.673071 + 0.739578i \(0.264975\pi\)
\(308\) −0.436363 + 4.64396i −0.0248641 + 0.264614i
\(309\) −3.72923 3.72923i −0.212148 0.212148i
\(310\) −13.0025 6.46012i −0.738493 0.366910i
\(311\) −6.19992 + 8.53345i −0.351565 + 0.483888i −0.947775 0.318941i \(-0.896673\pi\)
0.596209 + 0.802829i \(0.296673\pi\)
\(312\) 34.7024 26.8602i 1.96463 1.52066i
\(313\) 3.03794 + 0.987087i 0.171715 + 0.0557935i 0.393613 0.919276i \(-0.371225\pi\)
−0.221898 + 0.975070i \(0.571225\pi\)
\(314\) −0.196758 + 0.102776i −0.0111037 + 0.00579998i
\(315\) 13.6269 + 2.15828i 0.767787 + 0.121606i
\(316\) 4.97667 + 3.46399i 0.279960 + 0.194865i
\(317\) 28.6896 + 14.6181i 1.61137 + 0.821032i 0.999549 + 0.0300332i \(0.00956132\pi\)
0.611818 + 0.790999i \(0.290439\pi\)
\(318\) −0.603130 59.5632i −0.0338219 3.34014i
\(319\) −14.9493 + 0.645315i −0.837002 + 0.0361307i
\(320\) 17.9777 + 15.9160i 1.00499 + 0.889734i
\(321\) 10.2079 + 31.4168i 0.569752 + 1.75352i
\(322\) 0.0134023 0.0188450i 0.000746879 0.00105019i
\(323\) 0.731935 4.62125i 0.0407259 0.257133i
\(324\) 8.18265 27.0345i 0.454592 1.50192i
\(325\) 17.9418 9.14178i 0.995230 0.507095i
\(326\) −21.4713 3.17820i −1.18918 0.176024i
\(327\) −14.5585 + 20.0380i −0.805087 + 1.10811i
\(328\) −4.84380 13.4982i −0.267454 0.745312i
\(329\) 5.06584i 0.279289i
\(330\) 39.7322 + 17.6468i 2.18719 + 0.971426i
\(331\) −3.77472 3.77472i −0.207477 0.207477i 0.595717 0.803194i \(-0.296868\pi\)
−0.803194 + 0.595717i \(0.796868\pi\)
\(332\) −10.6636 5.16412i −0.585243 0.283418i
\(333\) −6.95209 + 1.10110i −0.380972 + 0.0603401i
\(334\) 13.0993 9.72133i 0.716760 0.531927i
\(335\) −3.06127 + 9.42161i −0.167255 + 0.514758i
\(336\) 7.57361 4.25370i 0.413175 0.232058i
\(337\) −29.4673 + 21.4093i −1.60519 + 1.16624i −0.728671 + 0.684864i \(0.759862\pi\)
−0.876516 + 0.481373i \(0.840138\pi\)
\(338\) −14.1061 10.0321i −0.767272 0.545672i
\(339\) 39.3420 + 20.0457i 2.13676 + 1.08874i
\(340\) 14.2297 + 13.6647i 0.771714 + 0.741074i
\(341\) −9.87678 + 5.58159i −0.534858 + 0.302260i
\(342\) −9.21174 + 9.40020i −0.498114 + 0.508305i
\(343\) −9.03210 + 2.93471i −0.487687 + 0.158459i
\(344\) 26.5754 5.04091i 1.43285 0.271788i
\(345\) −0.126688 0.174372i −0.00682067 0.00938785i
\(346\) 3.56071 1.85993i 0.191425 0.0999902i
\(347\) −15.3944 + 7.84383i −0.826414 + 0.421079i −0.815427 0.578861i \(-0.803498\pi\)
−0.0109877 + 0.999940i \(0.503498\pi\)
\(348\) 16.8322 + 22.2075i 0.902299 + 1.19045i
\(349\) −20.8973 + 3.30981i −1.11861 + 0.177170i −0.688239 0.725484i \(-0.741616\pi\)
−0.430367 + 0.902654i \(0.641616\pi\)
\(350\) 3.77815 1.27003i 0.201951 0.0678861i
\(351\) −54.8789 −2.92922
\(352\) 18.1745 4.65711i 0.968702 0.248225i
\(353\) −12.3613 −0.657927 −0.328964 0.944343i \(-0.606699\pi\)
−0.328964 + 0.944343i \(0.606699\pi\)
\(354\) 53.6785 18.0441i 2.85298 0.959034i
\(355\) −37.5573 + 5.94849i −1.99333 + 0.315713i
\(356\) −7.49266 9.88543i −0.397110 0.523927i
\(357\) 6.35924 3.24019i 0.336567 0.171489i
\(358\) 16.7834 8.76675i 0.887031 0.463337i
\(359\) −14.3165 19.7049i −0.755594 1.03999i −0.997568 0.0697026i \(-0.977795\pi\)
0.241974 0.970283i \(-0.422205\pi\)
\(360\) −10.3420 54.5224i −0.545071 2.87358i
\(361\) −16.1426 + 5.24504i −0.849608 + 0.276055i
\(362\) 3.62011 3.69418i 0.190269 0.194162i
\(363\) 28.8264 17.9732i 1.51299 0.943348i
\(364\) −5.09621 4.89388i −0.267114 0.256509i
\(365\) 35.2470 + 17.9592i 1.84491 + 0.940029i
\(366\) 14.7198 + 10.4685i 0.769417 + 0.547197i
\(367\) −25.5480 + 18.5617i −1.33359 + 0.968913i −0.333941 + 0.942594i \(0.608379\pi\)
−0.999654 + 0.0263193i \(0.991621\pi\)
\(368\) −0.0895535 0.0251376i −0.00466830 0.00131039i
\(369\) −10.2425 + 31.5230i −0.533201 + 1.64102i
\(370\) −3.67002 + 2.72362i −0.190795 + 0.141594i
\(371\) −9.47254 + 1.50030i −0.491790 + 0.0778918i
\(372\) 19.0148 + 9.20836i 0.985870 + 0.477431i
\(373\) 21.2777 + 21.2777i 1.10172 + 1.10172i 0.994203 + 0.107515i \(0.0342895\pi\)
0.107515 + 0.994203i \(0.465711\pi\)
\(374\) 15.0757 3.21870i 0.779544 0.166435i
\(375\) 9.19356i 0.474753i
\(376\) −19.1788 + 6.88230i −0.989073 + 0.354928i
\(377\) 13.3227 18.3371i 0.686153 0.944408i
\(378\) −10.7459 1.59062i −0.552708 0.0818125i
\(379\) 18.9392 9.65000i 0.972841 0.495687i 0.106051 0.994361i \(-0.466179\pi\)
0.866790 + 0.498673i \(0.166179\pi\)
\(380\) −2.47562 + 8.17916i −0.126997 + 0.419582i
\(381\) 1.23585 7.80285i 0.0633145 0.399752i
\(382\) −14.9384 + 21.0050i −0.764316 + 1.07471i
\(383\) −2.91834 8.98173i −0.149120 0.458945i 0.848398 0.529360i \(-0.177568\pi\)
−0.997518 + 0.0704148i \(0.977568\pi\)
\(384\) −26.3934 22.8941i −1.34688 1.16831i
\(385\) 1.87394 6.74427i 0.0955046 0.343720i
\(386\) 0.327482 + 32.3410i 0.0166684 + 1.64612i
\(387\) −55.7032 28.3822i −2.83155 1.44275i
\(388\) 6.56638 + 4.57051i 0.333358 + 0.232032i
\(389\) 0.255052 + 0.0403963i 0.0129317 + 0.00204817i 0.162897 0.986643i \(-0.447916\pi\)
−0.149965 + 0.988691i \(0.547916\pi\)
\(390\) −58.3709 + 30.4898i −2.95573 + 1.54391i
\(391\) −0.0726846 0.0236166i −0.00367582 0.00119435i
\(392\) 11.2626 + 14.5509i 0.568849 + 0.734931i
\(393\) 4.62637 6.36766i 0.233370 0.321206i
\(394\) −22.8076 11.3316i −1.14903 0.570879i
\(395\) −6.43426 6.43426i −0.323743 0.323743i
\(396\) −39.8058 17.1991i −2.00032 0.864286i
\(397\) 13.7350 13.7350i 0.689340 0.689340i −0.272746 0.962086i \(-0.587932\pi\)
0.962086 + 0.272746i \(0.0879319\pi\)
\(398\) 1.48903 + 4.42965i 0.0746384 + 0.222038i
\(399\) 2.50111 + 1.81716i 0.125212 + 0.0909720i
\(400\) −9.94113 12.5784i −0.497057 0.628918i
\(401\) 1.76068 5.41880i 0.0879239 0.270602i −0.897421 0.441175i \(-0.854562\pi\)
0.985345 + 0.170573i \(0.0545618\pi\)
\(402\) 4.31555 13.7542i 0.215240 0.685999i
\(403\) 2.68829 16.9732i 0.133913 0.845496i
\(404\) 2.36934 + 13.2208i 0.117879 + 0.657758i
\(405\) −19.2436 + 37.7677i −0.956223 + 1.87669i
\(406\) 3.14021 3.20445i 0.155846 0.159034i
\(407\) 0.154010 + 3.56779i 0.00763399 + 0.176849i
\(408\) −20.9066 19.6735i −1.03503 0.973985i
\(409\) 6.42907 2.08893i 0.317897 0.103291i −0.145722 0.989326i \(-0.546551\pi\)
0.463619 + 0.886035i \(0.346551\pi\)
\(410\) 3.58170 + 21.2210i 0.176888 + 1.04803i
\(411\) −11.5514 1.82957i −0.569791 0.0902460i
\(412\) 3.26904 + 0.989455i 0.161054 + 0.0487469i
\(413\) −4.13943 8.12409i −0.203688 0.399760i
\(414\) 0.128116 + 0.172633i 0.00629654 + 0.00848444i
\(415\) 14.3847 + 10.4511i 0.706115 + 0.513022i
\(416\) −11.6042 + 25.9425i −0.568945 + 1.27194i
\(417\) 27.3679 1.34021
\(418\) 4.20692 + 5.18550i 0.205767 + 0.253631i
\(419\) 15.1619 15.1619i 0.740705 0.740705i −0.232009 0.972714i \(-0.574530\pi\)
0.972714 + 0.232009i \(0.0745298\pi\)
\(420\) −12.3134 + 4.27840i −0.600831 + 0.208765i
\(421\) −1.19914 7.57107i −0.0584425 0.368991i −0.999525 0.0308146i \(-0.990190\pi\)
0.941083 0.338177i \(-0.109810\pi\)
\(422\) −7.63093 1.12954i −0.371468 0.0549851i
\(423\) 44.7894 + 14.5530i 2.17774 + 0.707589i
\(424\) 18.5491 + 33.8240i 0.900826 + 1.64264i
\(425\) −7.74291 10.6572i −0.375586 0.516950i
\(426\) 54.5610 9.20885i 2.64349 0.446170i
\(427\) 1.32031 2.59126i 0.0638944 0.125400i
\(428\) −15.4305 14.8179i −0.745863 0.716249i
\(429\) −5.85037 + 51.1238i −0.282458 + 2.46828i
\(430\) −40.5901 + 0.411011i −1.95743 + 0.0198207i
\(431\) 10.6859 + 32.8877i 0.514720 + 1.58414i 0.783791 + 0.621024i \(0.213283\pi\)
−0.269072 + 0.963120i \(0.586717\pi\)
\(432\) 8.57709 + 42.8440i 0.412666 + 2.06133i
\(433\) 12.2258 8.88258i 0.587535 0.426870i −0.253897 0.967231i \(-0.581713\pi\)
0.841433 + 0.540362i \(0.181713\pi\)
\(434\) 1.01835 3.24562i 0.0488824 0.155795i
\(435\) −18.9847 37.2595i −0.910245 1.78646i
\(436\) 2.18796 15.8906i 0.104784 0.761022i
\(437\) −0.00517868 0.0326969i −0.000247730 0.00156411i
\(438\) −51.5515 25.6127i −2.46323 1.22382i
\(439\) 26.8564i 1.28179i −0.767630 0.640893i \(-0.778564\pi\)
0.767630 0.640893i \(-0.221436\pi\)
\(440\) −28.0791 + 2.06801i −1.33862 + 0.0985885i
\(441\) 42.5276i 2.02512i
\(442\) −10.3898 + 20.9120i −0.494195 + 0.994683i
\(443\) 6.00051 + 37.8857i 0.285093 + 1.80001i 0.549392 + 0.835565i \(0.314860\pi\)
−0.264299 + 0.964441i \(0.585140\pi\)
\(444\) 5.30001 4.01714i 0.251527 0.190645i
\(445\) 8.45082 + 16.5857i 0.400608 + 0.786237i
\(446\) −1.55334 0.487380i −0.0735530 0.0230781i
\(447\) 26.2709 19.0869i 1.24257 0.902779i
\(448\) −3.02416 + 4.74349i −0.142878 + 0.224109i
\(449\) −8.65613 26.6408i −0.408508 1.25726i −0.917930 0.396742i \(-0.870141\pi\)
0.509422 0.860517i \(-0.329859\pi\)
\(450\) 0.375194 + 37.0529i 0.0176868 + 1.74669i
\(451\) 15.2987 + 6.98114i 0.720388 + 0.328729i
\(452\) −28.5895 + 0.579049i −1.34474 + 0.0272362i
\(453\) 11.4116 22.3966i 0.536166 1.05228i
\(454\) −0.0900084 0.533285i −0.00422430 0.0250283i
\(455\) 6.23231 + 8.57804i 0.292175 + 0.402145i
\(456\) 3.48170 11.9378i 0.163045 0.559036i
\(457\) 19.3761 + 6.29568i 0.906376 + 0.294499i 0.724866 0.688890i \(-0.241902\pi\)
0.181510 + 0.983389i \(0.441902\pi\)
\(458\) 1.56356 10.5631i 0.0730602 0.493579i
\(459\) 5.61616 + 35.4590i 0.262140 + 1.65509i
\(460\) 0.125629 + 0.0608388i 0.00585747 + 0.00283662i
\(461\) −27.0897 + 27.0897i −1.26169 + 1.26169i −0.311419 + 0.950273i \(0.600804\pi\)
−0.950273 + 0.311419i \(0.899196\pi\)
\(462\) −2.62734 + 9.84102i −0.122235 + 0.457846i
\(463\) −10.5732 −0.491380 −0.245690 0.969348i \(-0.579015\pi\)
−0.245690 + 0.969348i \(0.579015\pi\)
\(464\) −16.3980 7.53509i −0.761257 0.349808i
\(465\) −25.6499 18.6357i −1.18949 0.864211i
\(466\) −11.1731 + 8.29191i −0.517586 + 0.384115i
\(467\) −11.4897 22.5499i −0.531682 1.04348i −0.988113 0.153726i \(-0.950873\pi\)
0.456431 0.889759i \(-0.349127\pi\)
\(468\) 57.9092 30.9990i 2.67686 1.43293i
\(469\) −2.29241 0.363082i −0.105854 0.0167656i
\(470\) 30.1518 5.08905i 1.39080 0.234741i
\(471\) −0.461022 + 0.149795i −0.0212428 + 0.00690219i
\(472\) −25.1334 + 26.7087i −1.15686 + 1.22937i
\(473\) −17.5194 + 26.4406i −0.805544 + 1.21574i
\(474\) 9.45712 + 9.26752i 0.434380 + 0.425671i
\(475\) 2.59050 5.08414i 0.118860 0.233276i
\(476\) −2.64056 + 3.79366i −0.121030 + 0.173882i
\(477\) 13.9475 88.0611i 0.638613 4.03204i
\(478\) −2.98096 0.935310i −0.136346 0.0427801i
\(479\) −8.59270 + 26.4456i −0.392611 + 1.20833i 0.538196 + 0.842820i \(0.319106\pi\)
−0.930807 + 0.365512i \(0.880894\pi\)
\(480\) 32.9263 + 40.8049i 1.50287 + 1.86248i
\(481\) −4.37631 3.17957i −0.199542 0.144976i
\(482\) −14.3293 + 4.81682i −0.652683 + 0.219400i
\(483\) 0.0357072 0.0357072i 0.00162474 0.00162474i
\(484\) −10.9655 + 19.0725i −0.498431 + 0.866930i
\(485\) −8.48957 8.48957i −0.385491 0.385491i
\(486\) 6.82361 13.7341i 0.309525 0.622992i
\(487\) 3.03593 4.17860i 0.137571 0.189351i −0.734673 0.678422i \(-0.762664\pi\)
0.872244 + 0.489071i \(0.162664\pi\)
\(488\) −11.6040 1.47818i −0.525290 0.0669142i
\(489\) −45.0780 14.6467i −2.03850 0.662348i
\(490\) −12.7846 24.4752i −0.577547 1.10568i
\(491\) 14.5837 + 2.30983i 0.658154 + 0.104241i 0.476573 0.879135i \(-0.341879\pi\)
0.181581 + 0.983376i \(0.441879\pi\)
\(492\) −5.52431 30.8253i −0.249055 1.38971i
\(493\) −13.2116 6.73164i −0.595020 0.303178i
\(494\) −10.1142 + 0.102415i −0.455059 + 0.00460788i
\(495\) 54.2459 + 35.9430i 2.43817 + 1.61552i
\(496\) −13.6711 + 0.554014i −0.613853 + 0.0248760i
\(497\) −2.75302 8.47294i −0.123490 0.380063i
\(498\) −21.0847 14.9951i −0.944828 0.671947i
\(499\) −3.04703 + 19.2382i −0.136404 + 0.861219i 0.820676 + 0.571394i \(0.193597\pi\)
−0.957080 + 0.289825i \(0.906403\pi\)
\(500\) −2.80990 5.24917i −0.125663 0.234750i
\(501\) 31.7390 16.1718i 1.41799 0.722504i
\(502\) −2.52768 + 17.0765i −0.112816 + 0.762159i
\(503\) 21.5738 29.6937i 0.961927 1.32398i 0.0159057 0.999873i \(-0.494937\pi\)
0.946021 0.324105i \(-0.105063\pi\)
\(504\) 12.2377 4.39149i 0.545112 0.195613i
\(505\) 20.1562i 0.896939i
\(506\) 0.0944074 0.0546202i 0.00419692 0.00242816i
\(507\) −26.7281 26.7281i −1.18704 1.18704i
\(508\) 1.67922 + 4.83285i 0.0745035 + 0.214423i
\(509\) 8.49575 1.34560i 0.376568 0.0596425i 0.0347181 0.999397i \(-0.488947\pi\)
0.341850 + 0.939755i \(0.388947\pi\)
\(510\) 25.6740 + 34.5951i 1.13686 + 1.53190i
\(511\) −2.86402 + 8.81456i −0.126697 + 0.389933i
\(512\) 22.0670 + 5.00484i 0.975232 + 0.221185i
\(513\) −12.5810 + 9.14064i −0.555466 + 0.403569i
\(514\) −0.886494 + 1.24650i −0.0391016 + 0.0549809i
\(515\) −4.56691 2.32696i −0.201242 0.102538i
\(516\) 59.0556 1.19610i 2.59978 0.0526555i
\(517\) 9.91913 21.7371i 0.436243 0.955998i
\(518\) −0.764770 0.749438i −0.0336021 0.0329284i
\(519\) 8.34306 2.71082i 0.366220 0.118992i
\(520\) 24.0087 35.2489i 1.05285 1.54577i
\(521\) 16.9151 + 23.2816i 0.741063 + 1.01999i 0.998557 + 0.0537061i \(0.0171034\pi\)
−0.257494 + 0.966280i \(0.582897\pi\)
\(522\) 19.3110 + 36.9697i 0.845218 + 1.61812i
\(523\) 33.3857 17.0109i 1.45986 0.743834i 0.469573 0.882894i \(-0.344408\pi\)
0.990284 + 0.139060i \(0.0444080\pi\)
\(524\) −0.695286 + 5.04969i −0.0303737 + 0.220597i
\(525\) 8.59688 1.36161i 0.375199 0.0594256i
\(526\) 6.79514 + 20.2145i 0.296282 + 0.881394i
\(527\) −11.2421 −0.489712
\(528\) 40.8267 3.42282i 1.77676 0.148959i
\(529\) 22.9995 0.999976
\(530\) −18.4457 54.8733i −0.801231 2.38354i
\(531\) 83.7205 13.2600i 3.63316 0.575436i
\(532\) −1.98343 0.273097i −0.0859928 0.0118403i
\(533\) −22.6964 + 11.5644i −0.983090 + 0.500909i
\(534\) −12.5409 24.0089i −0.542700 1.03896i
\(535\) 18.8705 + 25.9730i 0.815841 + 1.12291i
\(536\) 1.73980 + 9.17215i 0.0751481 + 0.396176i
\(537\) 39.3250 12.7775i 1.69700 0.551388i
\(538\) 18.0963 + 17.7335i 0.780186 + 0.764544i
\(539\) −21.4365 2.45309i −0.923335 0.105662i
\(540\) −1.32779 65.5573i −0.0571389 2.82114i
\(541\) −14.2414 7.25635i −0.612285 0.311975i 0.120209 0.992749i \(-0.461644\pi\)
−0.732494 + 0.680774i \(0.761644\pi\)
\(542\) −0.463789 + 0.652137i −0.0199215 + 0.0280117i
\(543\) 9.13758 6.63884i 0.392131 0.284900i
\(544\) 17.9499 + 4.84299i 0.769594 + 0.207641i
\(545\) −7.43855 + 22.8935i −0.318632 + 0.980649i
\(546\) −9.19486 12.3899i −0.393504 0.530237i
\(547\) 41.3689 6.55219i 1.76881 0.280151i 0.814757 0.579803i \(-0.196870\pi\)
0.954049 + 0.299652i \(0.0968704\pi\)
\(548\) 7.15462 2.48595i 0.305630 0.106194i
\(549\) 19.1176 + 19.1176i 0.815918 + 0.815918i
\(550\) 18.6986 + 1.94818i 0.797309 + 0.0830706i
\(551\) 6.42282i 0.273621i
\(552\) −0.183696 0.0866739i −0.00781860 0.00368908i
\(553\) 1.25310 1.72474i 0.0532872 0.0733436i
\(554\) −3.78217 + 25.5516i −0.160689 + 1.08558i
\(555\) −8.89231 + 4.53086i −0.377457 + 0.192324i
\(556\) −15.6260 + 8.36466i −0.662690 + 0.354741i
\(557\) −4.40254 + 27.7965i −0.186541 + 1.17778i 0.699660 + 0.714476i \(0.253335\pi\)
−0.886201 + 0.463300i \(0.846665\pi\)
\(558\) 25.7705 + 18.3276i 1.09095 + 0.775869i
\(559\) −14.8469 45.6941i −0.627957 1.93265i
\(560\) 5.72282 6.20624i 0.241833 0.262262i
\(561\) 33.6315 1.45176i 1.41992 0.0612934i
\(562\) 0.483968 0.00490061i 0.0204150 0.000206720i
\(563\) −17.9303 9.13592i −0.755670 0.385033i 0.0333154 0.999445i \(-0.489393\pi\)
−0.788986 + 0.614412i \(0.789393\pi\)
\(564\) −43.7981 + 7.84920i −1.84423 + 0.330511i
\(565\) 42.3841 + 6.71299i 1.78311 + 0.282418i
\(566\) −5.07699 9.71958i −0.213402 0.408545i
\(567\) −9.44495 3.06885i −0.396651 0.128880i
\(568\) −28.3377 + 21.9338i −1.18902 + 0.920322i
\(569\) 9.55592 13.1526i 0.400605 0.551386i −0.560291 0.828296i \(-0.689311\pi\)
0.960896 + 0.276910i \(0.0893105\pi\)
\(570\) −8.30317 + 16.7121i −0.347781 + 0.699992i
\(571\) −24.8458 24.8458i −1.03977 1.03977i −0.999176 0.0405895i \(-0.987076\pi\)
−0.0405895 0.999176i \(-0.512924\pi\)
\(572\) −12.2850 30.9779i −0.513664 1.29525i
\(573\) −39.8000 + 39.8000i −1.66267 + 1.66267i
\(574\) −4.77938 + 1.60660i −0.199488 + 0.0670580i
\(575\) −0.0754033 0.0547837i −0.00314453 0.00228464i
\(576\) −33.2517 40.3649i −1.38549 1.68187i
\(577\) 0.524752 1.61502i 0.0218457 0.0672342i −0.939539 0.342441i \(-0.888746\pi\)
0.961385 + 0.275207i \(0.0887463\pi\)
\(578\) −8.36380 2.62424i −0.347888 0.109154i
\(579\) −11.0485 + 69.7574i −0.459160 + 2.89902i
\(580\) 22.2275 + 15.4713i 0.922945 + 0.642412i
\(581\) −1.89122 + 3.71173i −0.0784610 + 0.153988i
\(582\) 12.4780 + 12.2279i 0.517231 + 0.506861i
\(583\) −43.5836 12.1100i −1.80505 0.501543i
\(584\) 37.2622 1.13225i 1.54192 0.0468528i
\(585\) −93.7464 + 30.4601i −3.87594 + 1.25937i
\(586\) 1.49698 0.252662i 0.0618396 0.0104374i
\(587\) −30.4380 4.82091i −1.25631 0.198980i −0.507436 0.861690i \(-0.669407\pi\)
−0.748877 + 0.662709i \(0.769407\pi\)
\(588\) 18.9631 + 35.4249i 0.782024 + 1.46090i
\(589\) −2.21077 4.33888i −0.0910932 0.178780i
\(590\) 44.1961 32.7992i 1.81952 1.35032i
\(591\) −44.9922 32.6887i −1.85073 1.34463i
\(592\) −1.79831 + 3.91352i −0.0739103 + 0.160845i
\(593\) −12.0793 −0.496037 −0.248018 0.968755i \(-0.579779\pi\)
−0.248018 + 0.968755i \(0.579779\pi\)
\(594\) −42.9953 27.8661i −1.76412 1.14336i
\(595\) 4.90475 4.90475i 0.201075 0.201075i
\(596\) −9.16598 + 18.9273i −0.375453 + 0.775291i
\(597\) 1.59640 + 10.0793i 0.0653365 + 0.412518i
\(598\) −0.0241917 + 0.163434i −0.000989273 + 0.00668332i
\(599\) −5.82850 1.89379i −0.238146 0.0773783i 0.187512 0.982262i \(-0.439958\pi\)
−0.425658 + 0.904884i \(0.639958\pi\)
\(600\) −16.8344 30.6972i −0.687263 1.25321i
\(601\) 5.88323 + 8.09758i 0.239982 + 0.330307i 0.911971 0.410254i \(-0.134560\pi\)
−0.671989 + 0.740561i \(0.734560\pi\)
\(602\) −1.58278 9.37771i −0.0645093 0.382207i
\(603\) 9.79573 19.2252i 0.398913 0.782911i
\(604\) 0.329641 + 16.2755i 0.0134129 + 0.662239i
\(605\) 21.2465 25.2699i 0.863793 1.02737i
\(606\) 0.296980 + 29.3287i 0.0120640 + 1.19140i
\(607\) 0.813818 + 2.50467i 0.0330318 + 0.101662i 0.966213 0.257745i \(-0.0829793\pi\)
−0.933181 + 0.359406i \(0.882979\pi\)
\(608\) 1.66072 + 7.88014i 0.0673509 + 0.319582i
\(609\) 7.92624 5.75875i 0.321188 0.233356i
\(610\) 16.7495 + 5.25535i 0.678168 + 0.212783i
\(611\) 16.4312 + 32.2481i 0.664737 + 1.30462i
\(612\) −25.9558 34.2447i −1.04920 1.38426i
\(613\) −4.41731 27.8898i −0.178413 1.12646i −0.900565 0.434722i \(-0.856847\pi\)
0.722151 0.691735i \(-0.243153\pi\)
\(614\) 1.03699 2.08719i 0.0418495 0.0842320i
\(615\) 46.9959i 1.89506i
\(616\) −1.50768 6.42187i −0.0607461 0.258744i
\(617\) 7.43817i 0.299450i 0.988728 + 0.149725i \(0.0478388\pi\)
−0.988728 + 0.149725i \(0.952161\pi\)
\(618\) 6.67948 + 3.31861i 0.268688 + 0.133494i
\(619\) −0.416593 2.63027i −0.0167443 0.105719i 0.977901 0.209070i \(-0.0670436\pi\)
−0.994645 + 0.103351i \(0.967044\pi\)
\(620\) 20.3409 + 2.80072i 0.816911 + 0.112480i
\(621\) 0.115319 + 0.226326i 0.00462759 + 0.00908216i
\(622\) 4.46573 14.2329i 0.179059 0.570687i
\(623\) −3.52828 + 2.56345i −0.141358 + 0.102702i
\(624\) −34.4151 + 51.6435i −1.37771 + 2.06739i
\(625\) 8.95394 + 27.5574i 0.358158 + 1.10230i
\(626\) −4.51716 + 0.0457403i −0.180542 + 0.00182815i
\(627\) 7.17400 + 12.6946i 0.286502 + 0.506974i
\(628\) 0.217443 0.226433i 0.00867692 0.00903567i
\(629\) −1.60657 + 3.15306i −0.0640580 + 0.125721i
\(630\) −19.2394 + 3.24725i −0.766516 + 0.129373i
\(631\) −11.4956 15.8223i −0.457631 0.629875i 0.516385 0.856357i \(-0.327278\pi\)
−0.974015 + 0.226482i \(0.927278\pi\)
\(632\) −8.23217 2.40095i −0.327458 0.0955045i
\(633\) −16.0208 5.20548i −0.636770 0.206899i
\(634\) −45.0455 6.66769i −1.78899 0.264808i
\(635\) −1.20108 7.58335i −0.0476636 0.300936i
\(636\) 27.6484 + 79.5728i 1.09633 + 3.15527i
\(637\) 23.1106 23.1106i 0.915674 0.915674i
\(638\) 19.7489 7.60140i 0.781864 0.300942i
\(639\) 82.8220 3.27639
\(640\) −31.2712 13.2345i −1.23610 0.523140i
\(641\) 9.23455 + 6.70929i 0.364743 + 0.265001i 0.755028 0.655693i \(-0.227623\pi\)
−0.390285 + 0.920694i \(0.627623\pi\)
\(642\) −27.8406 37.5145i −1.09878 1.48058i
\(643\) 11.7667 + 23.0935i 0.464035 + 0.910719i 0.997876 + 0.0651348i \(0.0207477\pi\)
−0.533842 + 0.845584i \(0.679252\pi\)
\(644\) −0.00947399 + 0.0313010i −0.000373328 + 0.00123343i
\(645\) −87.5502 13.8666i −3.44729 0.545996i
\(646\) 1.10123 + 6.52463i 0.0433274 + 0.256708i
\(647\) 30.6276 9.95150i 1.20409 0.391234i 0.362828 0.931856i \(-0.381811\pi\)
0.841266 + 0.540622i \(0.181811\pi\)
\(648\) 1.21322 + 39.9271i 0.0476599 + 1.56848i
\(649\) −1.85466 42.9651i −0.0728019 1.68653i
\(650\) −19.9316 + 20.3394i −0.781781 + 0.797775i
\(651\) 3.37231 6.61854i 0.132171 0.259401i
\(652\) 30.2144 5.41482i 1.18329 0.212061i
\(653\) −4.35071 + 27.4693i −0.170257 + 1.07496i 0.743512 + 0.668722i \(0.233159\pi\)
−0.913769 + 0.406235i \(0.866841\pi\)
\(654\) 10.4863 33.4213i 0.410047 1.30688i
\(655\) 2.36381 7.27506i 0.0923617 0.284260i
\(656\) 12.5756 + 15.9117i 0.490994 + 0.621246i
\(657\) −69.7059 50.6443i −2.71949 1.97582i
\(658\) 2.28273 + 6.79077i 0.0889900 + 0.264732i
\(659\) −18.8607 + 18.8607i −0.734707 + 0.734707i −0.971548 0.236841i \(-0.923888\pi\)
0.236841 + 0.971548i \(0.423888\pi\)
\(660\) −61.2130 5.75180i −2.38271 0.223889i
\(661\) −1.72862 1.72862i −0.0672355 0.0672355i 0.672689 0.739925i \(-0.265139\pi\)
−0.739925 + 0.672689i \(0.765139\pi\)
\(662\) 6.76096 + 3.35909i 0.262772 + 0.130555i
\(663\) −29.9720 + 41.2529i −1.16401 + 1.60213i
\(664\) 16.6216 + 2.11736i 0.645045 + 0.0821693i
\(665\) 2.85752 + 0.928465i 0.110810 + 0.0360043i
\(666\) 8.82313 4.60873i 0.341889 0.178585i
\(667\) −0.103619 0.0164117i −0.00401216 0.000635464i
\(668\) −13.1790 + 18.9342i −0.509913 + 0.732585i
\(669\) −3.16762 1.61398i −0.122467 0.0624001i
\(670\) −0.141855 14.0091i −0.00548034 0.541220i
\(671\) 10.7392 8.53367i 0.414581 0.329438i
\(672\) −8.23569 + 9.11486i −0.317699 + 0.351613i
\(673\) 11.3879 + 35.0484i 0.438972 + 1.35102i 0.888962 + 0.457982i \(0.151428\pi\)
−0.449990 + 0.893034i \(0.648572\pi\)
\(674\) 29.8538 41.9775i 1.14992 1.61691i
\(675\) −6.84914 + 43.2438i −0.263624 + 1.66445i
\(676\) 23.4299 + 7.09161i 0.901149 + 0.272754i
\(677\) −17.2058 + 8.76679i −0.661273 + 0.336935i −0.752212 0.658921i \(-0.771013\pi\)
0.0909393 + 0.995856i \(0.471013\pi\)
\(678\) −61.7709 9.14340i −2.37230 0.351150i
\(679\) 1.65338 2.27568i 0.0634509 0.0873327i
\(680\) −25.2325 11.9055i −0.967621 0.456557i
\(681\) 1.18101i 0.0452563i
\(682\) 10.7247 11.9327i 0.410671 0.456928i
\(683\) 24.5630 + 24.5630i 0.939879 + 0.939879i 0.998292 0.0584138i \(-0.0186043\pi\)
−0.0584138 + 0.998292i \(0.518604\pi\)
\(684\) 8.11252 16.7519i 0.310190 0.640526i
\(685\) −11.2265 + 1.77810i −0.428942 + 0.0679378i
\(686\) 10.7851 8.00395i 0.411778 0.305592i
\(687\) 7.20564 22.1767i 0.274912 0.846093i
\(688\) −33.3529 + 18.7326i −1.27157 + 0.714172i
\(689\) 55.4340 40.2752i 2.11187 1.53436i
\(690\) 0.248400 + 0.176658i 0.00945643 + 0.00672527i
\(691\) −21.3508 10.8788i −0.812223 0.413848i −0.00202005 0.999998i \(-0.500643\pi\)
−0.810203 + 0.586150i \(0.800643\pi\)
\(692\) −3.93504 + 4.09774i −0.149588 + 0.155773i
\(693\) −6.32925 + 13.8701i −0.240428 + 0.526883i
\(694\) 17.1017 17.4516i 0.649172 0.662453i
\(695\) 25.2962 8.21923i 0.959539 0.311773i
\(696\) −32.5705 22.1844i −1.23458 0.840899i
\(697\) 9.79482 + 13.4814i 0.371005 + 0.510645i
\(698\) 26.5214 13.8534i 1.00385 0.524358i
\(699\) −27.0721 + 13.7939i −1.02396 + 0.521734i
\(700\) −4.49234 + 3.40496i −0.169794 + 0.128696i
\(701\) −31.6312 + 5.00988i −1.19469 + 0.189221i −0.721928 0.691968i \(-0.756744\pi\)
−0.472764 + 0.881189i \(0.656744\pi\)
\(702\) 73.5654 24.7291i 2.77655 0.933340i
\(703\) −1.53286 −0.0578129
\(704\) −22.2644 + 14.4325i −0.839120 + 0.543946i
\(705\) 66.7740 2.51485
\(706\) 16.5704 5.57016i 0.623635 0.209636i
\(707\) 4.66425 0.738745i 0.175417 0.0277834i
\(708\) −63.8253 + 48.3764i −2.39870 + 1.81810i
\(709\) 20.0390 10.2104i 0.752581 0.383459i −0.0352274 0.999379i \(-0.511216\pi\)
0.787809 + 0.615920i \(0.211216\pi\)
\(710\) 47.6652 24.8977i 1.78884 0.934396i
\(711\) 11.6494 + 16.0340i 0.436887 + 0.601323i
\(712\) 14.4984 + 9.87516i 0.543351 + 0.370087i
\(713\) −0.0756483 + 0.0245796i −0.00283305 + 0.000920514i
\(714\) −7.06451 + 7.20904i −0.264383 + 0.269792i
\(715\) 9.94621 + 49.0109i 0.371967 + 1.83290i
\(716\) −18.5478 + 19.3147i −0.693164 + 0.721823i
\(717\) −6.07884 3.09732i −0.227018 0.115672i
\(718\) 28.0705 + 19.9633i 1.04758 + 0.745025i
\(719\) 22.6579 16.4620i 0.844999 0.613927i −0.0787640 0.996893i \(-0.525097\pi\)
0.923762 + 0.382966i \(0.125097\pi\)
\(720\) 38.4319 + 68.4272i 1.43227 + 2.55013i
\(721\) 0.371089 1.14209i 0.0138201 0.0425338i
\(722\) 19.2757 14.3050i 0.717366 0.532378i
\(723\) −32.6052 + 5.16416i −1.21260 + 0.192057i
\(724\) −3.18813 + 6.58332i −0.118486 + 0.244667i
\(725\) −12.7866 12.7866i −0.474884 0.474884i
\(726\) −30.5429 + 37.0826i −1.13355 + 1.37627i
\(727\) 36.2571i 1.34470i −0.740232 0.672352i \(-0.765284\pi\)
0.740232 0.672352i \(-0.234716\pi\)
\(728\) 9.03673 + 4.26384i 0.334924 + 0.158028i
\(729\) −5.21933 + 7.18379i −0.193308 + 0.266066i
\(730\) −55.3413 8.19169i −2.04827 0.303188i
\(731\) −28.0050 + 14.2693i −1.03580 + 0.527768i
\(732\) −24.4492 7.40013i −0.903668 0.273517i
\(733\) 0.871747 5.50400i 0.0321987 0.203295i −0.966345 0.257251i \(-0.917183\pi\)
0.998543 + 0.0539564i \(0.0171832\pi\)
\(734\) 25.8830 36.3943i 0.955360 1.34334i
\(735\) −18.6334 57.3476i −0.687302 2.11530i
\(736\) 0.131374 0.00665686i 0.00484251 0.000245375i
\(737\) −9.12563 6.04660i −0.336147 0.222729i
\(738\) −0.474622 46.8721i −0.0174711 1.72539i
\(739\) −27.5784 14.0519i −1.01449 0.516907i −0.134002 0.990981i \(-0.542783\pi\)
−0.880485 + 0.474074i \(0.842783\pi\)
\(740\) 3.69237 5.30478i 0.135734 0.195007i
\(741\) −21.8156 3.45525i −0.801417 0.126932i
\(742\) 12.0219 6.27960i 0.441338 0.230531i
\(743\) 24.2140 + 7.86760i 0.888325 + 0.288634i 0.717410 0.696651i \(-0.245328\pi\)
0.170915 + 0.985286i \(0.445328\pi\)
\(744\) −29.6388 3.77555i −1.08661 0.138418i
\(745\) 18.5500 25.5318i 0.679618 0.935414i
\(746\) −38.1109 18.9349i −1.39534 0.693254i
\(747\) −27.3841 27.3841i −1.00193 1.00193i
\(748\) −18.7586 + 11.1080i −0.685882 + 0.406147i
\(749\) −5.31866 + 5.31866i −0.194340 + 0.194340i
\(750\) −4.14273 12.3240i −0.151271 0.450009i
\(751\) −19.4962 14.1648i −0.711425 0.516881i 0.172208 0.985061i \(-0.444910\pi\)
−0.883633 + 0.468180i \(0.844910\pi\)
\(752\) 22.6081 17.8680i 0.824431 0.651578i
\(753\) −11.6488 + 35.8513i −0.424505 + 1.30649i
\(754\) −9.59617 + 30.5843i −0.349472 + 1.11381i
\(755\) 3.82157 24.1284i 0.139081 0.878124i
\(756\) 15.1216 2.71000i 0.549968 0.0985616i
\(757\) −16.3443 + 32.0776i −0.594045 + 1.16588i 0.376828 + 0.926283i \(0.377015\pi\)
−0.970873 + 0.239596i \(0.922985\pi\)
\(758\) −21.0396 + 21.4701i −0.764194 + 0.779829i
\(759\) 0.223133 0.0833008i 0.00809923 0.00302363i
\(760\) −0.367055 12.0797i −0.0133145 0.438178i
\(761\) 23.9430 7.77955i 0.867933 0.282008i 0.158995 0.987279i \(-0.449175\pi\)
0.708938 + 0.705271i \(0.249175\pi\)
\(762\) 1.85940 + 11.0166i 0.0673589 + 0.399090i
\(763\) −5.57031 0.882250i −0.201659 0.0319396i
\(764\) 10.5599 34.8887i 0.382043 1.26223i
\(765\) 29.2750 + 57.4554i 1.05844 + 2.07730i
\(766\) 7.95932 + 10.7250i 0.287582 + 0.387510i
\(767\) 52.7016