Properties

Label 162.2.g.b.157.1
Level $162$
Weight $2$
Character 162.157
Analytic conductor $1.294$
Analytic rank $0$
Dimension $90$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), 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: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(90\)
Relative dimension: \(5\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 157.1
Character \(\chi\) \(=\) 162.157
Dual form 162.2.g.b.97.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.973045 - 0.230616i) q^{2} +(-1.71858 - 0.215573i) q^{3} +(0.893633 - 0.448799i) q^{4} +(-1.74099 - 2.33856i) q^{5} +(-1.72197 + 0.186570i) q^{6} +(3.14295 - 2.06715i) q^{7} +(0.766044 - 0.642788i) q^{8} +(2.90706 + 0.740960i) q^{9} +O(q^{10})\) \(q+(0.973045 - 0.230616i) q^{2} +(-1.71858 - 0.215573i) q^{3} +(0.893633 - 0.448799i) q^{4} +(-1.74099 - 2.33856i) q^{5} +(-1.72197 + 0.186570i) q^{6} +(3.14295 - 2.06715i) q^{7} +(0.766044 - 0.642788i) q^{8} +(2.90706 + 0.740960i) q^{9} +(-2.23337 - 1.87402i) q^{10} +(-2.28467 - 0.267040i) q^{11} +(-1.63253 + 0.578656i) q^{12} +(-1.19996 - 4.00816i) q^{13} +(2.58151 - 2.73625i) q^{14} +(2.48791 + 4.39432i) q^{15} +(0.597159 - 0.802123i) q^{16} +(-0.456248 + 2.58751i) q^{17} +(2.99957 + 0.0505743i) q^{18} +(1.50312 + 8.52463i) q^{19} +(-2.60535 - 1.30846i) q^{20} +(-5.84705 + 2.87504i) q^{21} +(-2.28467 + 0.267040i) q^{22} +(6.27720 + 4.12858i) q^{23} +(-1.45508 + 0.939545i) q^{24} +(-1.00379 + 3.35289i) q^{25} +(-2.09196 - 3.62338i) q^{26} +(-4.83629 - 1.90009i) q^{27} +(1.88091 - 3.25783i) q^{28} +(-1.68597 - 1.78703i) q^{29} +(3.43425 + 3.70212i) q^{30} +(0.165331 - 2.83863i) q^{31} +(0.396080 - 0.918216i) q^{32} +(3.86883 + 0.951444i) q^{33} +(0.152771 + 2.62298i) q^{34} +(-10.3060 - 3.75108i) q^{35} +(2.93038 - 0.642538i) q^{36} +(5.99816 - 2.18315i) q^{37} +(3.42852 + 7.94820i) q^{38} +(1.19819 + 7.14703i) q^{39} +(-2.83688 - 0.672352i) q^{40} +(-4.24317 - 1.00565i) q^{41} +(-5.02641 + 4.14596i) q^{42} +(4.40534 + 10.2127i) q^{43} +(-2.16150 + 0.786723i) q^{44} +(-3.32839 - 8.08833i) q^{45} +(7.06011 + 2.56967i) q^{46} +(-0.0956182 - 1.64170i) q^{47} +(-1.19918 + 1.24978i) q^{48} +(2.83247 - 6.56640i) q^{49} +(-0.203502 + 3.49400i) q^{50} +(1.34190 - 4.34850i) q^{51} +(-2.87118 - 3.04328i) q^{52} +(0.561391 - 0.972358i) q^{53} +(-5.14411 - 0.733543i) q^{54} +(3.35311 + 5.80776i) q^{55} +(1.07890 - 3.60378i) q^{56} +(-0.745560 - 14.9743i) q^{57} +(-2.05264 - 1.35004i) q^{58} +(9.21881 - 1.07752i) q^{59} +(4.19545 + 2.81034i) q^{60} +(-3.19981 - 1.60701i) q^{61} +(-0.493758 - 2.80024i) q^{62} +(10.6684 - 3.68052i) q^{63} +(0.173648 - 0.984808i) q^{64} +(-7.28419 + 9.78436i) q^{65} +(3.98396 + 0.0335834i) q^{66} +(-1.00647 + 1.06680i) q^{67} +(0.753555 + 2.51705i) q^{68} +(-9.89788 - 8.44850i) q^{69} +(-10.8933 - 1.27324i) q^{70} +(-1.46893 - 1.23258i) q^{71} +(2.70321 - 1.30101i) q^{72} +(-0.123017 + 0.103223i) q^{73} +(5.33301 - 3.50757i) q^{74} +(2.44789 - 5.54583i) q^{75} +(5.16909 + 6.94329i) q^{76} +(-7.73262 + 3.88347i) q^{77} +(2.81411 + 6.67806i) q^{78} +(-9.27560 + 2.19836i) q^{79} -2.91546 q^{80} +(7.90196 + 4.30803i) q^{81} -4.36071 q^{82} +(-2.15900 + 0.511693i) q^{83} +(-3.93480 + 5.19338i) q^{84} +(6.84538 - 3.43788i) q^{85} +(6.64181 + 8.92150i) q^{86} +(2.51225 + 3.43460i) q^{87} +(-1.92181 + 1.26399i) q^{88} +(-0.717829 + 0.602330i) q^{89} +(-5.10397 - 7.10273i) q^{90} +(-12.0569 - 10.1169i) q^{91} +(7.46241 + 0.872231i) q^{92} +(-0.896067 + 4.84278i) q^{93} +(-0.471643 - 1.57540i) q^{94} +(17.3184 - 18.3565i) q^{95} +(-0.878639 + 1.49265i) q^{96} +(-3.02994 + 4.06992i) q^{97} +(1.24180 - 7.04262i) q^{98} +(-6.44380 - 2.46915i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 90 q - 9 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 90 q - 9 q^{6} - 18 q^{13} - 9 q^{18} - 9 q^{20} - 54 q^{21} + 27 q^{23} - 18 q^{25} - 27 q^{26} - 27 q^{27} - 18 q^{28} - 27 q^{29} + 9 q^{30} + 54 q^{31} - 63 q^{33} - 27 q^{35} - 9 q^{36} - 18 q^{38} - 9 q^{41} - 9 q^{42} - 36 q^{43} + 63 q^{45} + 18 q^{46} - 27 q^{47} - 9 q^{48} - 36 q^{51} + 36 q^{52} - 27 q^{53} - 54 q^{55} - 81 q^{57} - 9 q^{58} - 45 q^{59} - 63 q^{63} + 9 q^{65} + 36 q^{66} + 81 q^{67} + 36 q^{68} + 18 q^{69} - 72 q^{70} + 72 q^{71} + 18 q^{72} - 36 q^{73} + 45 q^{74} + 216 q^{75} - 18 q^{76} + 144 q^{77} + 54 q^{78} - 99 q^{79} + 18 q^{80} + 144 q^{81} + 72 q^{82} + 45 q^{83} + 18 q^{84} - 117 q^{85} + 72 q^{86} + 81 q^{87} - 18 q^{88} + 45 q^{89} + 162 q^{90} - 63 q^{91} + 36 q^{92} + 45 q^{93} - 72 q^{94} + 45 q^{95} + 18 q^{96} + 117 q^{97} + 36 q^{98} - 81 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{25}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.973045 0.230616i 0.688047 0.163070i
\(3\) −1.71858 0.215573i −0.992224 0.124461i
\(4\) 0.893633 0.448799i 0.446816 0.224400i
\(5\) −1.74099 2.33856i −0.778596 1.04584i −0.997540 0.0700985i \(-0.977669\pi\)
0.218944 0.975737i \(-0.429739\pi\)
\(6\) −1.72197 + 0.186570i −0.702993 + 0.0761670i
\(7\) 3.14295 2.06715i 1.18792 0.781310i 0.207505 0.978234i \(-0.433466\pi\)
0.980419 + 0.196924i \(0.0630952\pi\)
\(8\) 0.766044 0.642788i 0.270838 0.227260i
\(9\) 2.90706 + 0.740960i 0.969019 + 0.246987i
\(10\) −2.23337 1.87402i −0.706255 0.592618i
\(11\) −2.28467 0.267040i −0.688854 0.0805155i −0.235538 0.971865i \(-0.575685\pi\)
−0.453316 + 0.891350i \(0.649759\pi\)
\(12\) −1.63253 + 0.578656i −0.471271 + 0.167043i
\(13\) −1.19996 4.00816i −0.332810 1.11166i −0.946658 0.322239i \(-0.895565\pi\)
0.613849 0.789424i \(-0.289621\pi\)
\(14\) 2.58151 2.73625i 0.689939 0.731292i
\(15\) 2.48791 + 4.39432i 0.642376 + 1.13461i
\(16\) 0.597159 0.802123i 0.149290 0.200531i
\(17\) −0.456248 + 2.58751i −0.110656 + 0.627564i 0.878153 + 0.478380i \(0.158776\pi\)
−0.988809 + 0.149184i \(0.952335\pi\)
\(18\) 2.99957 + 0.0505743i 0.707006 + 0.0119205i
\(19\) 1.50312 + 8.52463i 0.344840 + 1.95568i 0.289343 + 0.957225i \(0.406563\pi\)
0.0554968 + 0.998459i \(0.482326\pi\)
\(20\) −2.60535 1.30846i −0.582575 0.292580i
\(21\) −5.84705 + 2.87504i −1.27593 + 0.627384i
\(22\) −2.28467 + 0.267040i −0.487094 + 0.0569331i
\(23\) 6.27720 + 4.12858i 1.30889 + 0.860868i 0.996037 0.0889345i \(-0.0283462\pi\)
0.312849 + 0.949803i \(0.398717\pi\)
\(24\) −1.45508 + 0.939545i −0.297017 + 0.191784i
\(25\) −1.00379 + 3.35289i −0.200758 + 0.670578i
\(26\) −2.09196 3.62338i −0.410268 0.710604i
\(27\) −4.83629 1.90009i −0.930744 0.365672i
\(28\) 1.88091 3.25783i 0.355458 0.615672i
\(29\) −1.68597 1.78703i −0.313077 0.331842i 0.551658 0.834070i \(-0.313995\pi\)
−0.864735 + 0.502228i \(0.832514\pi\)
\(30\) 3.43425 + 3.70212i 0.627005 + 0.675912i
\(31\) 0.165331 2.83863i 0.0296944 0.509832i −0.950366 0.311133i \(-0.899291\pi\)
0.980061 0.198699i \(-0.0636716\pi\)
\(32\) 0.396080 0.918216i 0.0700177 0.162319i
\(33\) 3.86883 + 0.951444i 0.673477 + 0.165625i
\(34\) 0.152771 + 2.62298i 0.0262001 + 0.449838i
\(35\) −10.3060 3.75108i −1.74203 0.634049i
\(36\) 2.93038 0.642538i 0.488397 0.107090i
\(37\) 5.99816 2.18315i 0.986091 0.358908i 0.201886 0.979409i \(-0.435293\pi\)
0.784205 + 0.620501i \(0.213071\pi\)
\(38\) 3.42852 + 7.94820i 0.556179 + 1.28937i
\(39\) 1.19819 + 7.14703i 0.191863 + 1.14444i
\(40\) −2.83688 0.672352i −0.448549 0.106308i
\(41\) −4.24317 1.00565i −0.662672 0.157056i −0.114502 0.993423i \(-0.536527\pi\)
−0.548170 + 0.836367i \(0.684675\pi\)
\(42\) −5.02641 + 4.14596i −0.775592 + 0.639736i
\(43\) 4.40534 + 10.2127i 0.671808 + 1.55743i 0.822450 + 0.568838i \(0.192607\pi\)
−0.150641 + 0.988588i \(0.548134\pi\)
\(44\) −2.16150 + 0.786723i −0.325859 + 0.118603i
\(45\) −3.32839 8.08833i −0.496167 1.20574i
\(46\) 7.06011 + 2.56967i 1.04096 + 0.378877i
\(47\) −0.0956182 1.64170i −0.0139473 0.239467i −0.998076 0.0620082i \(-0.980249\pi\)
0.984128 0.177458i \(-0.0567875\pi\)
\(48\) −1.19918 + 1.24978i −0.173087 + 0.180391i
\(49\) 2.83247 6.56640i 0.404639 0.938058i
\(50\) −0.203502 + 3.49400i −0.0287796 + 0.494126i
\(51\) 1.34190 4.34850i 0.187903 0.608912i
\(52\) −2.87118 3.04328i −0.398161 0.422026i
\(53\) 0.561391 0.972358i 0.0771130 0.133564i −0.824890 0.565293i \(-0.808763\pi\)
0.902003 + 0.431729i \(0.142096\pi\)
\(54\) −5.14411 0.733543i −0.700025 0.0998226i
\(55\) 3.35311 + 5.80776i 0.452133 + 0.783118i
\(56\) 1.07890 3.60378i 0.144174 0.481575i
\(57\) −0.745560 14.9743i −0.0987519 1.98340i
\(58\) −2.05264 1.35004i −0.269525 0.177270i
\(59\) 9.21881 1.07752i 1.20019 0.140282i 0.507585 0.861602i \(-0.330538\pi\)
0.692602 + 0.721320i \(0.256464\pi\)
\(60\) 4.19545 + 2.81034i 0.541630 + 0.362813i
\(61\) −3.19981 1.60701i −0.409694 0.205756i 0.232002 0.972715i \(-0.425473\pi\)
−0.641696 + 0.766959i \(0.721769\pi\)
\(62\) −0.493758 2.80024i −0.0627073 0.355631i
\(63\) 10.6684 3.68052i 1.34409 0.463702i
\(64\) 0.173648 0.984808i 0.0217060 0.123101i
\(65\) −7.28419 + 9.78436i −0.903492 + 1.21360i
\(66\) 3.98396 + 0.0335834i 0.490392 + 0.00413384i
\(67\) −1.00647 + 1.06680i −0.122960 + 0.130330i −0.785929 0.618317i \(-0.787815\pi\)
0.662969 + 0.748647i \(0.269296\pi\)
\(68\) 0.753555 + 2.51705i 0.0913820 + 0.305237i
\(69\) −9.89788 8.44850i −1.19156 1.01708i
\(70\) −10.8933 1.27324i −1.30200 0.152181i
\(71\) −1.46893 1.23258i −0.174330 0.146280i 0.551448 0.834209i \(-0.314076\pi\)
−0.725778 + 0.687929i \(0.758520\pi\)
\(72\) 2.70321 1.30101i 0.318577 0.153326i
\(73\) −0.123017 + 0.103223i −0.0143980 + 0.0120814i −0.649958 0.759970i \(-0.725214\pi\)
0.635560 + 0.772051i \(0.280769\pi\)
\(74\) 5.33301 3.50757i 0.619950 0.407747i
\(75\) 2.44789 5.54583i 0.282658 0.640377i
\(76\) 5.16909 + 6.94329i 0.592935 + 0.796450i
\(77\) −7.73262 + 3.88347i −0.881214 + 0.442562i
\(78\) 2.81411 + 6.67806i 0.318635 + 0.756141i
\(79\) −9.27560 + 2.19836i −1.04359 + 0.247334i −0.716447 0.697642i \(-0.754233\pi\)
−0.327139 + 0.944976i \(0.606085\pi\)
\(80\) −2.91546 −0.325959
\(81\) 7.90196 + 4.30803i 0.877995 + 0.478670i
\(82\) −4.36071 −0.481560
\(83\) −2.15900 + 0.511693i −0.236981 + 0.0561656i −0.347390 0.937721i \(-0.612932\pi\)
0.110409 + 0.993886i \(0.464784\pi\)
\(84\) −3.93480 + 5.19338i −0.429322 + 0.566644i
\(85\) 6.84538 3.43788i 0.742486 0.372890i
\(86\) 6.64181 + 8.92150i 0.716205 + 0.962030i
\(87\) 2.51225 + 3.43460i 0.269341 + 0.368228i
\(88\) −1.92181 + 1.26399i −0.204866 + 0.134742i
\(89\) −0.717829 + 0.602330i −0.0760897 + 0.0638469i −0.680039 0.733176i \(-0.738037\pi\)
0.603950 + 0.797023i \(0.293593\pi\)
\(90\) −5.10397 7.10273i −0.538005 0.748694i
\(91\) −12.0569 10.1169i −1.26391 1.06054i
\(92\) 7.46241 + 0.872231i 0.778010 + 0.0909364i
\(93\) −0.896067 + 4.84278i −0.0929178 + 0.502172i
\(94\) −0.471643 1.57540i −0.0486463 0.162490i
\(95\) 17.3184 18.3565i 1.77683 1.88333i
\(96\) −0.878639 + 1.49265i −0.0896757 + 0.152343i
\(97\) −3.02994 + 4.06992i −0.307644 + 0.413237i −0.928877 0.370388i \(-0.879225\pi\)
0.621233 + 0.783626i \(0.286632\pi\)
\(98\) 1.24180 7.04262i 0.125441 0.711412i
\(99\) −6.44380 2.46915i −0.647627 0.248159i
\(100\) 0.607755 + 3.44675i 0.0607755 + 0.344675i
\(101\) 4.62840 + 2.32447i 0.460543 + 0.231293i 0.663915 0.747808i \(-0.268894\pi\)
−0.203372 + 0.979102i \(0.565190\pi\)
\(102\) 0.302894 4.54075i 0.0299910 0.449601i
\(103\) −3.03292 + 0.354498i −0.298843 + 0.0349297i −0.264193 0.964470i \(-0.585106\pi\)
−0.0346496 + 0.999400i \(0.511032\pi\)
\(104\) −3.49562 2.29910i −0.342774 0.225446i
\(105\) 16.9031 + 8.66825i 1.64958 + 0.845934i
\(106\) 0.322018 1.07561i 0.0312771 0.104473i
\(107\) 5.80874 + 10.0610i 0.561552 + 0.972637i 0.997361 + 0.0725980i \(0.0231290\pi\)
−0.435809 + 0.900039i \(0.643538\pi\)
\(108\) −5.17462 + 0.472544i −0.497928 + 0.0454706i
\(109\) −1.27249 + 2.20401i −0.121882 + 0.211106i −0.920510 0.390719i \(-0.872226\pi\)
0.798628 + 0.601825i \(0.205560\pi\)
\(110\) 4.60209 + 4.87793i 0.438792 + 0.465092i
\(111\) −10.7790 + 2.45889i −1.02309 + 0.233387i
\(112\) 0.218730 3.75545i 0.0206681 0.354857i
\(113\) 5.35665 12.4181i 0.503911 1.16820i −0.456528 0.889709i \(-0.650907\pi\)
0.960440 0.278489i \(-0.0898335\pi\)
\(114\) −4.17878 14.3987i −0.391379 1.34857i
\(115\) −1.27363 21.8674i −0.118767 2.03915i
\(116\) −2.30866 0.840282i −0.214353 0.0780182i
\(117\) −0.518476 12.5411i −0.0479331 1.15942i
\(118\) 8.72183 3.17448i 0.802909 0.292235i
\(119\) 3.91481 + 9.07556i 0.358870 + 0.831955i
\(120\) 4.73047 + 1.76705i 0.431831 + 0.161309i
\(121\) −5.55508 1.31658i −0.505007 0.119689i
\(122\) −3.48416 0.825762i −0.315441 0.0747610i
\(123\) 7.07545 + 2.64301i 0.637972 + 0.238312i
\(124\) −1.12623 2.61089i −0.101138 0.234465i
\(125\) −4.10967 + 1.49580i −0.367580 + 0.133788i
\(126\) 9.53206 6.04162i 0.849183 0.538230i
\(127\) −9.84592 3.58362i −0.873684 0.317995i −0.134026 0.990978i \(-0.542790\pi\)
−0.739658 + 0.672983i \(0.765013\pi\)
\(128\) −0.0581448 0.998308i −0.00513933 0.0882388i
\(129\) −5.36936 18.5011i −0.472745 1.62893i
\(130\) −4.83141 + 11.2005i −0.423743 + 0.982346i
\(131\) −0.00963024 + 0.165345i −0.000841398 + 0.0144462i −0.998703 0.0509202i \(-0.983785\pi\)
0.997861 + 0.0653664i \(0.0208216\pi\)
\(132\) 3.88432 0.886087i 0.338087 0.0771240i
\(133\) 22.3459 + 23.6853i 1.93764 + 2.05378i
\(134\) −0.733321 + 1.27015i −0.0633493 + 0.109724i
\(135\) 3.97648 + 14.6180i 0.342241 + 1.25812i
\(136\) 1.31371 + 2.27542i 0.112650 + 0.195116i
\(137\) −5.71490 + 19.0891i −0.488257 + 1.63089i 0.258655 + 0.965970i \(0.416721\pi\)
−0.746912 + 0.664922i \(0.768465\pi\)
\(138\) −11.5794 5.93816i −0.985707 0.505490i
\(139\) −18.1963 11.9679i −1.54339 1.01510i −0.982293 0.187351i \(-0.940010\pi\)
−0.561095 0.827751i \(-0.689620\pi\)
\(140\) −10.8933 + 1.27324i −0.920650 + 0.107609i
\(141\) −0.189579 + 2.84201i −0.0159654 + 0.239341i
\(142\) −1.71359 0.860596i −0.143801 0.0722196i
\(143\) 1.67118 + 9.47776i 0.139751 + 0.792570i
\(144\) 2.33032 1.88935i 0.194193 0.157446i
\(145\) −1.24380 + 7.05395i −0.103292 + 0.585799i
\(146\) −0.0958960 + 0.128811i −0.00793641 + 0.0106604i
\(147\) −6.28337 + 10.6743i −0.518244 + 0.880402i
\(148\) 4.38035 4.64290i 0.360063 0.381644i
\(149\) 2.52073 + 8.41984i 0.206507 + 0.689780i 0.997006 + 0.0773178i \(0.0246356\pi\)
−0.790500 + 0.612462i \(0.790179\pi\)
\(150\) 1.10295 5.96086i 0.0900553 0.486702i
\(151\) −12.7453 1.48971i −1.03719 0.121231i −0.419585 0.907716i \(-0.637824\pi\)
−0.617609 + 0.786485i \(0.711899\pi\)
\(152\) 6.63099 + 5.56406i 0.537844 + 0.451305i
\(153\) −3.24358 + 7.18398i −0.262228 + 0.580791i
\(154\) −6.62860 + 5.56206i −0.534148 + 0.448203i
\(155\) −6.92614 + 4.55539i −0.556321 + 0.365898i
\(156\) 4.27832 + 5.84907i 0.342540 + 0.468301i
\(157\) 2.79034 + 3.74808i 0.222693 + 0.299129i 0.899403 0.437121i \(-0.144002\pi\)
−0.676709 + 0.736250i \(0.736595\pi\)
\(158\) −8.51860 + 4.27820i −0.677703 + 0.340355i
\(159\) −1.17441 + 1.55006i −0.0931369 + 0.122928i
\(160\) −2.83688 + 0.672352i −0.224275 + 0.0531541i
\(161\) 28.2633 2.22746
\(162\) 8.68246 + 2.36959i 0.682158 + 0.186172i
\(163\) 14.0056 1.09700 0.548502 0.836149i \(-0.315198\pi\)
0.548502 + 0.836149i \(0.315198\pi\)
\(164\) −4.24317 + 1.00565i −0.331336 + 0.0785281i
\(165\) −4.51060 10.7040i −0.351150 0.833302i
\(166\) −1.98280 + 0.995800i −0.153895 + 0.0772891i
\(167\) 6.24495 + 8.38842i 0.483248 + 0.649115i 0.975153 0.221534i \(-0.0711064\pi\)
−0.491904 + 0.870649i \(0.663699\pi\)
\(168\) −2.63106 + 5.96081i −0.202991 + 0.459887i
\(169\) −3.76406 + 2.47566i −0.289543 + 0.190435i
\(170\) 5.86803 4.92386i 0.450057 0.377643i
\(171\) −1.94675 + 25.8953i −0.148872 + 1.98027i
\(172\) 8.52022 + 7.14931i 0.649661 + 0.545130i
\(173\) 13.4690 + 1.57431i 1.02403 + 0.119692i 0.611495 0.791248i \(-0.290568\pi\)
0.412538 + 0.910941i \(0.364643\pi\)
\(174\) 3.23661 + 2.76266i 0.245366 + 0.209437i
\(175\) 3.77607 + 12.6130i 0.285444 + 0.953449i
\(176\) −1.57851 + 1.67312i −0.118985 + 0.126116i
\(177\) −16.0756 0.135512i −1.20831 0.0101857i
\(178\) −0.559573 + 0.751637i −0.0419418 + 0.0563376i
\(179\) 0.755656 4.28554i 0.0564804 0.320316i −0.943457 0.331495i \(-0.892447\pi\)
0.999938 + 0.0111784i \(0.00355826\pi\)
\(180\) −6.60439 5.73422i −0.492262 0.427404i
\(181\) 0.311609 + 1.76722i 0.0231617 + 0.131357i 0.994196 0.107583i \(-0.0343112\pi\)
−0.971034 + 0.238940i \(0.923200\pi\)
\(182\) −14.0650 7.06372i −1.04257 0.523598i
\(183\) 5.15272 + 3.45157i 0.380900 + 0.255147i
\(184\) 7.46241 0.872231i 0.550136 0.0643017i
\(185\) −15.5482 10.2262i −1.14313 0.751845i
\(186\) 0.244908 + 4.91888i 0.0179575 + 0.360670i
\(187\) 1.73335 5.78978i 0.126755 0.423391i
\(188\) −0.822242 1.42416i −0.0599681 0.103868i
\(189\) −19.1280 + 4.02546i −1.39136 + 0.292809i
\(190\) 12.6183 21.8556i 0.915429 1.58557i
\(191\) −17.2650 18.2998i −1.24925 1.32413i −0.925862 0.377862i \(-0.876659\pi\)
−0.323388 0.946266i \(-0.604822\pi\)
\(192\) −0.510727 + 1.65504i −0.0368585 + 0.119442i
\(193\) 0.764997 13.1345i 0.0550657 0.945441i −0.851759 0.523933i \(-0.824464\pi\)
0.906825 0.421507i \(-0.138499\pi\)
\(194\) −2.00968 + 4.65896i −0.144287 + 0.334494i
\(195\) 14.6277 15.2450i 1.04751 1.09171i
\(196\) −0.415809 7.13916i −0.0297006 0.509940i
\(197\) −19.0986 6.95133i −1.36072 0.495262i −0.444443 0.895807i \(-0.646598\pi\)
−0.916277 + 0.400545i \(0.868821\pi\)
\(198\) −6.83954 0.916551i −0.486065 0.0651365i
\(199\) −2.74737 + 0.999961i −0.194756 + 0.0708853i −0.437557 0.899191i \(-0.644156\pi\)
0.242801 + 0.970076i \(0.421934\pi\)
\(200\) 1.38625 + 3.21368i 0.0980226 + 0.227242i
\(201\) 1.95968 1.61641i 0.138225 0.114013i
\(202\) 5.03970 + 1.19443i 0.354592 + 0.0840399i
\(203\) −8.99298 2.13138i −0.631184 0.149593i
\(204\) −0.752439 4.48820i −0.0526813 0.314237i
\(205\) 5.03556 + 11.6737i 0.351699 + 0.815329i
\(206\) −2.86942 + 1.04438i −0.199922 + 0.0727656i
\(207\) 15.1891 + 16.6532i 1.05571 + 1.15748i
\(208\) −3.93160 1.43099i −0.272608 0.0992211i
\(209\) −1.15773 19.8774i −0.0800815 1.37495i
\(210\) 18.4465 + 4.53647i 1.27293 + 0.313046i
\(211\) −10.2424 + 23.7444i −0.705113 + 1.63463i 0.0659088 + 0.997826i \(0.479005\pi\)
−0.771021 + 0.636809i \(0.780254\pi\)
\(212\) 0.0652840 1.12088i 0.00448372 0.0769826i
\(213\) 2.25877 + 2.43495i 0.154768 + 0.166840i
\(214\) 7.97240 + 8.45025i 0.544982 + 0.577647i
\(215\) 16.2134 28.0824i 1.10575 1.91521i
\(216\) −4.92616 + 1.65316i −0.335183 + 0.112483i
\(217\) −5.34824 9.26343i −0.363062 0.628843i
\(218\) −0.729908 + 2.43806i −0.0494356 + 0.165126i
\(219\) 0.233667 0.150879i 0.0157897 0.0101954i
\(220\) 5.60296 + 3.68513i 0.377752 + 0.248451i
\(221\) 10.9186 1.27621i 0.734467 0.0858469i
\(222\) −9.92136 + 4.87841i −0.665878 + 0.327417i
\(223\) 5.44386 + 2.73401i 0.364548 + 0.183083i 0.621638 0.783305i \(-0.286467\pi\)
−0.257090 + 0.966387i \(0.582764\pi\)
\(224\) −0.653233 3.70467i −0.0436459 0.247528i
\(225\) −5.40243 + 9.00327i −0.360162 + 0.600218i
\(226\) 2.34845 13.3187i 0.156216 0.885947i
\(227\) 15.7094 21.1014i 1.04267 1.40055i 0.130165 0.991492i \(-0.458449\pi\)
0.912508 0.409059i \(-0.134143\pi\)
\(228\) −7.38672 13.0469i −0.489197 0.864054i
\(229\) 0.107641 0.114093i 0.00711310 0.00753945i −0.723807 0.690002i \(-0.757610\pi\)
0.730920 + 0.682463i \(0.239091\pi\)
\(230\) −6.28228 20.9843i −0.414241 1.38366i
\(231\) 14.1263 5.00712i 0.929444 0.329444i
\(232\) −2.44021 0.285219i −0.160208 0.0187256i
\(233\) 8.65323 + 7.26092i 0.566892 + 0.475679i 0.880613 0.473836i \(-0.157131\pi\)
−0.313721 + 0.949515i \(0.601576\pi\)
\(234\) −3.39667 12.0834i −0.222047 0.789920i
\(235\) −3.67275 + 3.08180i −0.239584 + 0.201034i
\(236\) 7.75464 5.10031i 0.504784 0.332002i
\(237\) 16.4148 1.77849i 1.06626 0.115525i
\(238\) 5.90226 + 7.92811i 0.382587 + 0.513903i
\(239\) −21.6463 + 10.8712i −1.40019 + 0.703200i −0.979016 0.203782i \(-0.934676\pi\)
−0.421169 + 0.906982i \(0.638380\pi\)
\(240\) 5.01047 + 0.628495i 0.323424 + 0.0405692i
\(241\) 17.5713 4.16447i 1.13186 0.268257i 0.378334 0.925669i \(-0.376497\pi\)
0.753531 + 0.657413i \(0.228349\pi\)
\(242\) −5.70897 −0.366986
\(243\) −12.6515 9.10715i −0.811592 0.584224i
\(244\) −3.58068 −0.229230
\(245\) −20.2872 + 4.80816i −1.29610 + 0.307182i
\(246\) 7.49425 + 0.940052i 0.477816 + 0.0599355i
\(247\) 32.3644 16.2540i 2.05929 1.03422i
\(248\) −1.69798 2.28079i −0.107822 0.144830i
\(249\) 3.82073 0.413964i 0.242129 0.0262339i
\(250\) −3.65394 + 2.40323i −0.231095 + 0.151994i
\(251\) −3.12459 + 2.62184i −0.197222 + 0.165489i −0.736051 0.676926i \(-0.763312\pi\)
0.538828 + 0.842416i \(0.318867\pi\)
\(252\) 7.88183 8.07701i 0.496508 0.508804i
\(253\) −13.2388 11.1087i −0.832319 0.698399i
\(254\) −10.4070 1.21640i −0.652991 0.0763237i
\(255\) −12.5055 + 4.43260i −0.783123 + 0.277580i
\(256\) −0.286803 0.957990i −0.0179252 0.0598743i
\(257\) −13.2735 + 14.0691i −0.827980 + 0.877607i −0.994097 0.108499i \(-0.965396\pi\)
0.166117 + 0.986106i \(0.446877\pi\)
\(258\) −9.49127 16.7641i −0.590901 1.04369i
\(259\) 14.3390 19.2606i 0.890983 1.19680i
\(260\) −2.11817 + 12.0128i −0.131364 + 0.745000i
\(261\) −3.57710 6.44423i −0.221417 0.398888i
\(262\) 0.0287605 + 0.163109i 0.00177683 + 0.0100769i
\(263\) 13.6259 + 6.84318i 0.840209 + 0.421969i 0.816218 0.577743i \(-0.196067\pi\)
0.0239904 + 0.999712i \(0.492363\pi\)
\(264\) 3.57527 1.75799i 0.220043 0.108197i
\(265\) −3.25130 + 0.380022i −0.199726 + 0.0233446i
\(266\) 27.2058 + 17.8935i 1.66810 + 1.09712i
\(267\) 1.36350 0.880410i 0.0834446 0.0538802i
\(268\) −0.420637 + 1.40503i −0.0256945 + 0.0858257i
\(269\) 9.42374 + 16.3224i 0.574576 + 0.995194i 0.996088 + 0.0883713i \(0.0281662\pi\)
−0.421512 + 0.906823i \(0.638500\pi\)
\(270\) 7.24043 + 13.3069i 0.440639 + 0.809833i
\(271\) −5.56282 + 9.63509i −0.337917 + 0.585290i −0.984041 0.177943i \(-0.943056\pi\)
0.646123 + 0.763233i \(0.276389\pi\)
\(272\) 1.80305 + 1.91112i 0.109326 + 0.115879i
\(273\) 18.5398 + 19.9859i 1.12208 + 1.20960i
\(274\) −1.15861 + 19.8925i −0.0699940 + 1.20175i
\(275\) 3.18868 7.39220i 0.192285 0.445766i
\(276\) −12.6368 3.10770i −0.760643 0.187061i
\(277\) −1.51610 26.0305i −0.0910938 1.56402i −0.666095 0.745867i \(-0.732035\pi\)
0.575001 0.818153i \(-0.305002\pi\)
\(278\) −20.4658 7.44893i −1.22746 0.446757i
\(279\) 2.58394 8.12954i 0.154696 0.486703i
\(280\) −10.3060 + 3.75108i −0.615902 + 0.224170i
\(281\) −6.70946 15.5543i −0.400253 0.927890i −0.992512 0.122143i \(-0.961023\pi\)
0.592260 0.805747i \(-0.298236\pi\)
\(282\) 0.470945 + 2.80913i 0.0280443 + 0.167281i
\(283\) −16.6679 3.95036i −0.990802 0.234824i −0.296912 0.954905i \(-0.595957\pi\)
−0.693890 + 0.720081i \(0.744105\pi\)
\(284\) −1.86587 0.442218i −0.110719 0.0262408i
\(285\) −33.7203 + 27.8137i −1.99742 + 1.64754i
\(286\) 3.81186 + 8.83688i 0.225400 + 0.522536i
\(287\) −15.4149 + 5.61057i −0.909913 + 0.331181i
\(288\) 1.83179 2.37583i 0.107939 0.139997i
\(289\) 9.48772 + 3.45325i 0.558101 + 0.203132i
\(290\) 0.416478 + 7.15065i 0.0244564 + 0.419901i
\(291\) 6.08457 6.34132i 0.356684 0.371735i
\(292\) −0.0636053 + 0.147454i −0.00372222 + 0.00862907i
\(293\) 0.166826 2.86429i 0.00974608 0.167334i −0.989923 0.141607i \(-0.954773\pi\)
0.999669 0.0257266i \(-0.00818993\pi\)
\(294\) −3.65234 + 11.8356i −0.213009 + 0.690268i
\(295\) −18.5698 19.6828i −1.08117 1.14598i
\(296\) 3.19155 5.52793i 0.185505 0.321305i
\(297\) 10.5419 + 5.63255i 0.611705 + 0.326834i
\(298\) 4.39454 + 7.61156i 0.254569 + 0.440926i
\(299\) 9.01558 30.1141i 0.521385 1.74155i
\(300\) −0.301451 6.05454i −0.0174043 0.349559i
\(301\) 34.9570 + 22.9916i 2.01489 + 1.32521i
\(302\) −12.7453 + 1.48971i −0.733407 + 0.0857230i
\(303\) −7.45320 4.99255i −0.428175 0.286815i
\(304\) 7.73541 + 3.88487i 0.443656 + 0.222812i
\(305\) 1.81277 + 10.2807i 0.103799 + 0.588674i
\(306\) −1.49941 + 7.73836i −0.0857157 + 0.442373i
\(307\) 3.45879 19.6157i 0.197403 1.11953i −0.711551 0.702634i \(-0.752007\pi\)
0.908954 0.416896i \(-0.136882\pi\)
\(308\) −5.16723 + 6.94079i −0.294430 + 0.395488i
\(309\) 5.28875 + 0.0445823i 0.300866 + 0.00253620i
\(310\) −5.68890 + 6.02988i −0.323108 + 0.342474i
\(311\) 2.62713 + 8.77522i 0.148971 + 0.497597i 0.999603 0.0281637i \(-0.00896596\pi\)
−0.850633 + 0.525761i \(0.823781\pi\)
\(312\) 5.51189 + 4.70476i 0.312049 + 0.266355i
\(313\) −9.36704 1.09485i −0.529456 0.0618846i −0.152835 0.988252i \(-0.548840\pi\)
−0.376622 + 0.926367i \(0.622914\pi\)
\(314\) 3.57949 + 3.00355i 0.202002 + 0.169500i
\(315\) −27.1808 18.5410i −1.53146 1.04466i
\(316\) −7.30236 + 6.12740i −0.410790 + 0.344693i
\(317\) 14.1723 9.32125i 0.795994 0.523534i −0.0851574 0.996368i \(-0.527139\pi\)
0.881152 + 0.472834i \(0.156769\pi\)
\(318\) −0.785288 + 1.77911i −0.0440367 + 0.0997678i
\(319\) 3.37469 + 4.53299i 0.188946 + 0.253799i
\(320\) −2.60535 + 1.30846i −0.145644 + 0.0731450i
\(321\) −7.81392 18.5429i −0.436130 1.03497i
\(322\) 27.5015 6.51797i 1.53260 0.363232i
\(323\) −22.7434 −1.26548
\(324\) 8.99488 + 0.303403i 0.499716 + 0.0168557i
\(325\) 14.6434 0.812270
\(326\) 13.6281 3.22992i 0.754790 0.178889i
\(327\) 2.66200 3.51347i 0.147209 0.194295i
\(328\) −3.89688 + 1.95708i −0.215169 + 0.108062i
\(329\) −3.69417 4.96213i −0.203666 0.273571i
\(330\) −6.85752 9.37521i −0.377494 0.516088i
\(331\) −8.12667 + 5.34499i −0.446682 + 0.293787i −0.752852 0.658189i \(-0.771323\pi\)
0.306170 + 0.951977i \(0.400952\pi\)
\(332\) −1.69971 + 1.42622i −0.0932835 + 0.0782742i
\(333\) 19.0546 1.90215i 1.04419 0.104237i
\(334\) 8.01111 + 6.72212i 0.438349 + 0.367818i
\(335\) 4.24703 + 0.496406i 0.232040 + 0.0271216i
\(336\) −1.18548 + 6.40690i −0.0646732 + 0.349525i
\(337\) −4.97107 16.6045i −0.270792 0.904507i −0.979914 0.199421i \(-0.936094\pi\)
0.709122 0.705086i \(-0.249091\pi\)
\(338\) −3.09167 + 3.27698i −0.168165 + 0.178244i
\(339\) −11.8829 + 20.1868i −0.645388 + 1.09640i
\(340\) 4.57434 6.14440i 0.248078 0.333227i
\(341\) −1.13575 + 6.44118i −0.0615045 + 0.348809i
\(342\) 4.07760 + 25.6463i 0.220491 + 1.38679i
\(343\) −0.0988085 0.560371i −0.00533516 0.0302572i
\(344\) 9.93930 + 4.99171i 0.535891 + 0.269135i
\(345\) −2.52519 + 37.8556i −0.135951 + 2.03808i
\(346\) 13.4690 1.57431i 0.724100 0.0846352i
\(347\) −19.8165 13.0335i −1.06381 0.699676i −0.108142 0.994135i \(-0.534490\pi\)
−0.955664 + 0.294459i \(0.904860\pi\)
\(348\) 3.78648 + 1.94178i 0.202976 + 0.104090i
\(349\) −0.643481 + 2.14938i −0.0344448 + 0.115054i −0.973483 0.228759i \(-0.926533\pi\)
0.939038 + 0.343812i \(0.111718\pi\)
\(350\) 6.58303 + 11.4021i 0.351878 + 0.609470i
\(351\) −1.81247 + 21.6646i −0.0967425 + 1.15637i
\(352\) −1.15011 + 1.99205i −0.0613012 + 0.106177i
\(353\) 9.54050 + 10.1123i 0.507790 + 0.538225i 0.929654 0.368433i \(-0.120106\pi\)
−0.421865 + 0.906659i \(0.638624\pi\)
\(354\) −15.6735 + 3.57543i −0.833038 + 0.190032i
\(355\) −0.325062 + 5.58110i −0.0172525 + 0.296214i
\(356\) −0.371150 + 0.860423i −0.0196709 + 0.0456023i
\(357\) −4.77149 16.4410i −0.252534 0.870152i
\(358\) −0.253026 4.34429i −0.0133728 0.229603i
\(359\) 19.2529 + 7.00747i 1.01613 + 0.369840i 0.795783 0.605582i \(-0.207060\pi\)
0.220344 + 0.975422i \(0.429282\pi\)
\(360\) −7.74877 4.05658i −0.408396 0.213800i
\(361\) −52.5558 + 19.1287i −2.76609 + 1.00678i
\(362\) 0.710760 + 1.64773i 0.0373567 + 0.0866026i
\(363\) 9.26305 + 3.46017i 0.486184 + 0.181612i
\(364\) −15.3149 3.62970i −0.802719 0.190248i
\(365\) 0.455566 + 0.107971i 0.0238454 + 0.00565146i
\(366\) 5.80981 + 2.17023i 0.303684 + 0.113440i
\(367\) 9.04356 + 20.9653i 0.472070 + 1.09438i 0.973397 + 0.229124i \(0.0735860\pi\)
−0.501327 + 0.865258i \(0.667155\pi\)
\(368\) 7.06011 2.56967i 0.368034 0.133953i
\(369\) −11.5900 6.06750i −0.603351 0.315862i
\(370\) −17.4874 6.36490i −0.909127 0.330895i
\(371\) −0.245586 4.21656i −0.0127502 0.218913i
\(372\) 1.37268 + 4.72982i 0.0711701 + 0.245230i
\(373\) 1.55098 3.59558i 0.0803068 0.186172i −0.873332 0.487125i \(-0.838046\pi\)
0.953639 + 0.300953i \(0.0973048\pi\)
\(374\) 0.351409 6.03345i 0.0181709 0.311982i
\(375\) 7.38527 1.68472i 0.381374 0.0869985i
\(376\) −1.12851 1.19615i −0.0581986 0.0616869i
\(377\) −5.13958 + 8.90201i −0.264702 + 0.458477i
\(378\) −17.6840 + 8.32817i −0.909569 + 0.428355i
\(379\) −2.67609 4.63513i −0.137462 0.238091i 0.789073 0.614299i \(-0.210561\pi\)
−0.926535 + 0.376208i \(0.877228\pi\)
\(380\) 7.23795 24.1764i 0.371299 1.24023i
\(381\) 16.1485 + 8.28126i 0.827312 + 0.424262i
\(382\) −21.0198 13.8250i −1.07547 0.707347i
\(383\) 22.1513 2.58911i 1.13188 0.132297i 0.470534 0.882382i \(-0.344061\pi\)
0.661342 + 0.750084i \(0.269987\pi\)
\(384\) −0.115282 + 1.72821i −0.00588294 + 0.0881924i
\(385\) 22.5442 + 11.3221i 1.14896 + 0.577028i
\(386\) −2.28464 12.9569i −0.116285 0.659487i
\(387\) 5.23935 + 32.9532i 0.266331 + 1.67510i
\(388\) −0.881079 + 4.99685i −0.0447300 + 0.253676i
\(389\) −10.1548 + 13.6403i −0.514871 + 0.691592i −0.981194 0.193023i \(-0.938171\pi\)
0.466323 + 0.884614i \(0.345578\pi\)
\(390\) 10.7177 18.2074i 0.542712 0.921968i
\(391\) −13.5467 + 14.3587i −0.685087 + 0.726149i
\(392\) −2.05100 6.85083i −0.103591 0.346019i
\(393\) 0.0521943 0.282083i 0.00263285 0.0142292i
\(394\) −20.1869 2.35951i −1.01700 0.118870i
\(395\) 21.2897 + 17.8642i 1.07120 + 0.898846i
\(396\) −6.86655 + 0.685460i −0.345057 + 0.0344457i
\(397\) 0.818172 0.686528i 0.0410629 0.0344559i −0.622025 0.782997i \(-0.713690\pi\)
0.663088 + 0.748541i \(0.269245\pi\)
\(398\) −2.44271 + 1.60659i −0.122442 + 0.0805312i
\(399\) −33.2975 45.5224i −1.66696 2.27897i
\(400\) 2.09001 + 2.80737i 0.104500 + 0.140368i
\(401\) 29.6738 14.9027i 1.48184 0.744207i 0.490001 0.871722i \(-0.336997\pi\)
0.991837 + 0.127515i \(0.0407003\pi\)
\(402\) 1.53408 2.02477i 0.0765131 0.100986i
\(403\) −11.5760 + 2.74357i −0.576644 + 0.136667i
\(404\) 5.17931 0.257680
\(405\) −3.68267 25.9794i −0.182993 1.29093i
\(406\) −9.24211 −0.458678
\(407\) −14.2868 + 3.38604i −0.708171 + 0.167840i
\(408\) −1.76721 4.19370i −0.0874899 0.207619i
\(409\) −9.34646 + 4.69397i −0.462153 + 0.232102i −0.664612 0.747189i \(-0.731403\pi\)
0.202459 + 0.979291i \(0.435107\pi\)
\(410\) 7.59197 + 10.1978i 0.374941 + 0.503633i
\(411\) 13.9366 31.5742i 0.687443 1.55744i
\(412\) −2.55122 + 1.67796i −0.125690 + 0.0826673i
\(413\) 26.7469 22.4433i 1.31613 1.10436i
\(414\) 18.6201 + 12.7014i 0.915129 + 0.624242i
\(415\) 4.95543 + 4.15810i 0.243253 + 0.204113i
\(416\) −4.15563 0.485724i −0.203747 0.0238146i
\(417\) 28.6919 + 24.4904i 1.40505 + 1.19930i
\(418\) −5.71056 19.0746i −0.279312 0.932969i
\(419\) −0.0335250 + 0.0355345i −0.00163781 + 0.00173597i −0.728192 0.685373i \(-0.759639\pi\)
0.726554 + 0.687109i \(0.241121\pi\)
\(420\) 18.9955 + 0.160125i 0.926884 + 0.00781331i
\(421\) 23.4041 31.4372i 1.14065 1.53216i 0.332573 0.943078i \(-0.392083\pi\)
0.808076 0.589079i \(-0.200509\pi\)
\(422\) −4.49042 + 25.4665i −0.218590 + 1.23969i
\(423\) 0.938468 4.84337i 0.0456299 0.235493i
\(424\) −0.194969 1.10573i −0.00946854 0.0536988i
\(425\) −8.21766 4.12707i −0.398615 0.200192i
\(426\) 2.75942 + 1.84841i 0.133694 + 0.0895557i
\(427\) −13.3788 + 1.56376i −0.647445 + 0.0756755i
\(428\) 9.70627 + 6.38391i 0.469170 + 0.308578i
\(429\) −0.828921 16.6486i −0.0400207 0.803801i
\(430\) 9.30012 31.0646i 0.448491 1.49807i
\(431\) −11.4768 19.8784i −0.552819 0.957510i −0.998070 0.0621044i \(-0.980219\pi\)
0.445251 0.895406i \(-0.353115\pi\)
\(432\) −4.41213 + 2.74465i −0.212279 + 0.132052i
\(433\) −13.6316 + 23.6107i −0.655095 + 1.13466i 0.326775 + 0.945102i \(0.394038\pi\)
−0.981870 + 0.189555i \(0.939295\pi\)
\(434\) −7.34038 7.78034i −0.352349 0.373468i
\(435\) 3.65822 11.8547i 0.175398 0.568388i
\(436\) −0.147977 + 2.54067i −0.00708683 + 0.121676i
\(437\) −25.7592 + 59.7166i −1.23223 + 2.85663i
\(438\) 0.192573 0.200699i 0.00920151 0.00958978i
\(439\) 0.537077 + 9.22126i 0.0256333 + 0.440107i 0.986570 + 0.163339i \(0.0522263\pi\)
−0.960937 + 0.276768i \(0.910737\pi\)
\(440\) 6.30179 + 2.29366i 0.300426 + 0.109346i
\(441\) 13.0996 16.9902i 0.623790 0.809055i
\(442\) 10.3300 3.75982i 0.491348 0.178836i
\(443\) −2.84067 6.58542i −0.134964 0.312883i 0.837309 0.546730i \(-0.184128\pi\)
−0.972273 + 0.233848i \(0.924868\pi\)
\(444\) −8.52889 + 7.03493i −0.404763 + 0.333863i
\(445\) 2.65832 + 0.630034i 0.126017 + 0.0298665i
\(446\) 5.92763 + 1.40487i 0.280681 + 0.0665227i
\(447\) −2.51700 15.0136i −0.119050 0.710119i
\(448\) −1.48998 3.45416i −0.0703949 0.163194i
\(449\) −8.22352 + 2.99312i −0.388092 + 0.141254i −0.528694 0.848812i \(-0.677318\pi\)
0.140603 + 0.990066i \(0.455096\pi\)
\(450\) −3.18051 + 10.0065i −0.149931 + 0.471710i
\(451\) 9.42570 + 3.43068i 0.443839 + 0.161544i
\(452\) −0.786361 13.5013i −0.0369873 0.635047i
\(453\) 21.5826 + 5.30772i 1.01404 + 0.249378i
\(454\) 10.4197 24.1555i 0.489019 1.13367i
\(455\) −2.66809 + 45.8093i −0.125082 + 2.14757i
\(456\) −10.1964 10.9918i −0.477492 0.514736i
\(457\) 5.31162 + 5.62999i 0.248467 + 0.263360i 0.839589 0.543223i \(-0.182796\pi\)
−0.591121 + 0.806583i \(0.701315\pi\)
\(458\) 0.0784277 0.135841i 0.00366469 0.00634742i
\(459\) 7.12304 11.6470i 0.332475 0.543637i
\(460\) −10.9522 18.9699i −0.510651 0.884474i
\(461\) −12.0571 + 40.2734i −0.561554 + 1.87572i −0.0854238 + 0.996345i \(0.527224\pi\)
−0.476130 + 0.879375i \(0.657961\pi\)
\(462\) 12.5908 8.12991i 0.585778 0.378238i
\(463\) 5.23312 + 3.44188i 0.243204 + 0.159958i 0.665259 0.746612i \(-0.268321\pi\)
−0.422056 + 0.906570i \(0.638691\pi\)
\(464\) −2.44021 + 0.285219i −0.113284 + 0.0132410i
\(465\) 12.8852 6.33573i 0.597535 0.293813i
\(466\) 10.0945 + 5.06963i 0.467617 + 0.234846i
\(467\) 2.63963 + 14.9701i 0.122148 + 0.692734i 0.982961 + 0.183813i \(0.0588442\pi\)
−0.860814 + 0.508921i \(0.830045\pi\)
\(468\) −6.09174 10.9744i −0.281591 0.507292i
\(469\) −0.958058 + 5.43342i −0.0442390 + 0.250892i
\(470\) −2.86303 + 3.84572i −0.132062 + 0.177390i
\(471\) −3.98745 7.04290i −0.183732 0.324520i
\(472\) 6.36940 6.75117i 0.293175 0.310748i
\(473\) −7.33755 24.5091i −0.337381 1.12693i
\(474\) 15.5622 5.51606i 0.714795 0.253361i
\(475\) −30.0910 3.51713i −1.38067 0.161377i
\(476\) 7.57151 + 6.35325i 0.347040 + 0.291201i
\(477\) 2.35248 2.41073i 0.107712 0.110380i
\(478\) −18.5558 + 15.5702i −0.848722 + 0.712162i
\(479\) 17.0761 11.2311i 0.780228 0.513164i −0.0958134 0.995399i \(-0.530545\pi\)
0.876042 + 0.482235i \(0.160175\pi\)
\(480\) 5.02035 0.543939i 0.229146 0.0248273i
\(481\) −15.9480 21.4219i −0.727165 0.976752i
\(482\) 16.1372 8.10442i 0.735031 0.369146i
\(483\) −48.5729 6.09281i −2.21014 0.277233i
\(484\) −5.55508 + 1.31658i −0.252504 + 0.0598445i
\(485\) 14.7929 0.671709
\(486\) −14.4107 5.94404i −0.653683 0.269627i
\(487\) 24.1765 1.09554 0.547771 0.836628i \(-0.315476\pi\)
0.547771 + 0.836628i \(0.315476\pi\)
\(488\) −3.48416 + 0.825762i −0.157721 + 0.0373805i
\(489\) −24.0698 3.01923i −1.08847 0.136534i
\(490\) −18.6316 + 9.35712i −0.841688 + 0.422712i
\(491\) −8.59198 11.5410i −0.387751 0.520840i 0.564797 0.825230i \(-0.308955\pi\)
−0.952547 + 0.304391i \(0.901547\pi\)
\(492\) 7.50903 0.813580i 0.338533 0.0366790i
\(493\) 5.39317 3.54715i 0.242896 0.159755i
\(494\) 27.7435 23.2796i 1.24824 1.04740i
\(495\) 5.44436 + 19.3680i 0.244706 + 0.870527i
\(496\) −2.17820 1.82773i −0.0978040 0.0820673i
\(497\) −7.16471 0.837434i −0.321381 0.0375641i
\(498\) 3.62228 1.28393i 0.162318 0.0575341i
\(499\) 10.3103 + 34.4387i 0.461551 + 1.54169i 0.799585 + 0.600553i \(0.205053\pi\)
−0.338034 + 0.941134i \(0.609762\pi\)
\(500\) −3.00122 + 3.18111i −0.134219 + 0.142264i
\(501\) −8.92414 15.7624i −0.398701 0.704214i
\(502\) −2.43573 + 3.27175i −0.108712 + 0.146025i
\(503\) 0.139377 0.790444i 0.00621449 0.0352441i −0.981543 0.191242i \(-0.938748\pi\)
0.987757 + 0.155998i \(0.0498594\pi\)
\(504\) 5.80668 9.67697i 0.258650 0.431047i
\(505\) −2.62210 14.8707i −0.116682 0.661737i
\(506\) −15.4438 7.75619i −0.686562 0.344805i
\(507\) 7.00253 3.44320i 0.310993 0.152918i
\(508\) −10.4070 + 1.21640i −0.461734 + 0.0539690i
\(509\) −10.7873 7.09492i −0.478139 0.314477i 0.287463 0.957792i \(-0.407188\pi\)
−0.765602 + 0.643315i \(0.777559\pi\)
\(510\) −11.1462 + 7.19708i −0.493560 + 0.318692i
\(511\) −0.173258 + 0.578721i −0.00766446 + 0.0256011i
\(512\) −0.500000 0.866025i −0.0220971 0.0382733i
\(513\) 8.92799 44.0836i 0.394180 1.94634i
\(514\) −9.67117 + 16.7510i −0.426577 + 0.738853i
\(515\) 6.10931 + 6.47549i 0.269208 + 0.285344i
\(516\) −13.1015 14.1234i −0.576762 0.621749i
\(517\) −0.219943 + 3.77628i −0.00967310 + 0.166081i
\(518\) 9.51070 22.0483i 0.417876 0.968746i
\(519\) −22.8083 5.60914i −1.00117 0.246214i
\(520\) 0.709255 + 12.1774i 0.0311029 + 0.534016i
\(521\) −13.9069 5.06170i −0.609273 0.221757i 0.0189124 0.999821i \(-0.493980\pi\)
−0.628185 + 0.778064i \(0.716202\pi\)
\(522\) −4.96682 5.44558i −0.217392 0.238347i
\(523\) 3.67429 1.33733i 0.160666 0.0584775i −0.260435 0.965491i \(-0.583866\pi\)
0.421101 + 0.907014i \(0.361644\pi\)
\(524\) 0.0656007 + 0.152080i 0.00286578 + 0.00664363i
\(525\) −3.77048 22.4904i −0.164557 0.981563i
\(526\) 14.8368 + 3.51638i 0.646913 + 0.153321i
\(527\) 7.26955 + 1.72291i 0.316667 + 0.0750514i
\(528\) 3.07348 2.53512i 0.133756 0.110327i
\(529\) 13.2482 + 30.7129i 0.576010 + 1.33534i
\(530\) −3.07602 + 1.11958i −0.133614 + 0.0486314i
\(531\) 27.5980 + 3.69835i 1.19765 + 0.160495i
\(532\) 30.5990 + 11.1371i 1.32664 + 0.482856i
\(533\) 1.06085 + 18.2140i 0.0459504 + 0.788937i
\(534\) 1.12371 1.17112i 0.0486275 0.0506794i
\(535\) 13.4154 31.1003i 0.579997 1.34458i
\(536\) −0.0852776 + 1.46416i −0.00368343 + 0.0632421i
\(537\) −2.22250 + 7.20215i −0.0959081 + 0.310796i
\(538\) 12.9339 + 13.7092i 0.557621 + 0.591044i
\(539\) −8.22475 + 14.2457i −0.354265 + 0.613605i
\(540\) 10.1141 + 11.2785i 0.435240 + 0.485348i
\(541\) 0.299580 + 0.518888i 0.0128800 + 0.0223087i 0.872394 0.488804i \(-0.162567\pi\)
−0.859514 + 0.511113i \(0.829233\pi\)
\(542\) −3.19087 + 10.6583i −0.137060 + 0.457811i
\(543\) −0.154561 3.10430i −0.00663283 0.133218i
\(544\) 2.19518 + 1.44380i 0.0941178 + 0.0619022i
\(545\) 7.36962 0.861385i 0.315680 0.0368977i
\(546\) 22.6492 + 15.1716i 0.969295 + 0.649286i
\(547\) 9.85913 + 4.95144i 0.421546 + 0.211708i 0.646910 0.762566i \(-0.276061\pi\)
−0.225364 + 0.974275i \(0.572357\pi\)
\(548\) 3.46015 + 19.6235i 0.147810 + 0.838274i
\(549\) −8.11131 7.04260i −0.346182 0.300571i
\(550\) 1.39797 7.92830i 0.0596098 0.338064i
\(551\) 12.6995 17.0584i 0.541018 0.726713i
\(552\) −13.0128 0.109693i −0.553862 0.00466886i
\(553\) −24.6084 + 26.0834i −1.04646 + 1.10918i
\(554\) −7.47828 24.9792i −0.317722 1.06126i
\(555\) 24.5164 + 20.9264i 1.04066 + 0.888274i
\(556\) −21.6320 2.52841i −0.917400 0.107229i
\(557\) −30.1952 25.3368i −1.27941 1.07355i −0.993325 0.115349i \(-0.963201\pi\)
−0.286086 0.958204i \(-0.592354\pi\)
\(558\) 0.639485 8.50631i 0.0270715 0.360101i
\(559\) 35.6480 29.9122i 1.50775 1.26515i
\(560\) −9.16316 + 6.02670i −0.387214 + 0.254675i
\(561\) −4.22702 + 9.57656i −0.178465 + 0.404322i
\(562\) −10.1157 13.5877i −0.426704 0.573162i
\(563\) 4.18633 2.10245i 0.176433 0.0886078i −0.358391 0.933572i \(-0.616674\pi\)
0.534823 + 0.844964i \(0.320378\pi\)
\(564\) 1.10608 + 2.62480i 0.0465743 + 0.110524i
\(565\) −38.3664 + 9.09300i −1.61409 + 0.382545i
\(566\) −17.1296 −0.720011
\(567\) 33.7408 2.79462i 1.41698 0.117363i
\(568\) −1.91755 −0.0804587
\(569\) 24.2228 5.74091i 1.01547 0.240672i 0.311006 0.950408i \(-0.399334\pi\)
0.704467 + 0.709737i \(0.251186\pi\)
\(570\) −26.3971 + 34.8405i −1.10565 + 1.45931i
\(571\) −32.5654 + 16.3550i −1.36282 + 0.684434i −0.971769 0.235935i \(-0.924185\pi\)
−0.391051 + 0.920369i \(0.627888\pi\)
\(572\) 5.74703 + 7.71961i 0.240296 + 0.322773i
\(573\) 25.7264 + 35.1716i 1.07473 + 1.46932i
\(574\) −13.7055 + 9.01426i −0.572057 + 0.376248i
\(575\) −20.1437 + 16.9025i −0.840048 + 0.704884i
\(576\) 1.23451 2.73423i 0.0514379 0.113926i
\(577\) 6.24646 + 5.24140i 0.260043 + 0.218202i 0.763483 0.645828i \(-0.223488\pi\)
−0.503439 + 0.864031i \(0.667932\pi\)
\(578\) 10.0283 + 1.17215i 0.417124 + 0.0487548i
\(579\) −4.14615 + 22.4078i −0.172308 + 0.931236i
\(580\) 2.05430 + 6.86186i 0.0853004 + 0.284923i
\(581\) −5.72789 + 6.07121i −0.237633 + 0.251876i
\(582\) 4.45815 7.57359i 0.184796 0.313935i
\(583\) −1.54225 + 2.07161i −0.0638736 + 0.0857971i
\(584\) −0.0278857 + 0.158147i −0.00115392 + 0.00654419i
\(585\) −28.4254 + 23.0464i −1.17524 + 0.952851i
\(586\) −0.498222 2.82556i −0.0205814 0.116723i
\(587\) 1.96062 + 0.984662i 0.0809236 + 0.0406413i 0.488801 0.872395i \(-0.337435\pi\)
−0.407877 + 0.913037i \(0.633731\pi\)
\(588\) −0.824409 + 12.3589i −0.0339980 + 0.509672i
\(589\) 24.4468 2.85742i 1.00731 0.117738i
\(590\) −22.6084 14.8698i −0.930772 0.612178i
\(591\) 31.3240 + 16.0636i 1.28850 + 0.660767i
\(592\) 1.83070 6.11495i 0.0752411 0.251323i
\(593\) −18.7384 32.4558i −0.769493 1.33280i −0.937838 0.347072i \(-0.887176\pi\)
0.168346 0.985728i \(-0.446157\pi\)
\(594\) 11.5567 + 3.04959i 0.474178 + 0.125126i
\(595\) 14.4081 24.9555i 0.590674 1.02308i
\(596\) 6.03143 + 6.39294i 0.247057 + 0.261865i
\(597\) 4.93715 1.12626i 0.202064 0.0460946i
\(598\) 1.82777 31.3815i 0.0747429 1.28329i
\(599\) −4.76448 + 11.0453i −0.194671 + 0.451299i −0.987394 0.158284i \(-0.949404\pi\)
0.792722 + 0.609583i \(0.208663\pi\)
\(600\) −1.68960 5.82182i −0.0689776 0.237675i
\(601\) −1.05142 18.0522i −0.0428884 0.736366i −0.949378 0.314137i \(-0.898285\pi\)
0.906489 0.422229i \(-0.138752\pi\)
\(602\) 39.3170 + 14.3102i 1.60244 + 0.583241i
\(603\) −3.71632 + 2.35548i −0.151340 + 0.0959227i
\(604\) −12.0582 + 4.38881i −0.490639 + 0.178578i
\(605\) 6.59246 + 15.2830i 0.268022 + 0.621344i
\(606\) −8.40366 3.13915i −0.341375 0.127519i
\(607\) 4.57034 + 1.08319i 0.185504 + 0.0439653i 0.322318 0.946631i \(-0.395538\pi\)
−0.136814 + 0.990597i \(0.543686\pi\)
\(608\) 8.42281 + 1.99624i 0.341590 + 0.0809583i
\(609\) 14.9957 + 5.60159i 0.607657 + 0.226988i
\(610\) 4.13481 + 9.58558i 0.167414 + 0.388109i
\(611\) −6.46546 + 2.35323i −0.261564 + 0.0952016i
\(612\) 0.325593 + 7.87556i 0.0131613 + 0.318351i
\(613\) −17.4302 6.34408i −0.704000 0.256235i −0.0348821 0.999391i \(-0.511106\pi\)
−0.669118 + 0.743156i \(0.733328\pi\)
\(614\) −1.15815 19.8847i −0.0467391 0.802479i
\(615\) −6.13748 21.1478i −0.247487 0.852763i
\(616\) −3.42729 + 7.94535i −0.138089 + 0.320127i
\(617\) 0.919178 15.7817i 0.0370047 0.635347i −0.927913 0.372796i \(-0.878399\pi\)
0.964918 0.262551i \(-0.0845638\pi\)
\(618\) 5.15647 1.17629i 0.207424 0.0473173i
\(619\) 11.1428 + 11.8107i 0.447866 + 0.474711i 0.911490 0.411321i \(-0.134933\pi\)
−0.463624 + 0.886032i \(0.653451\pi\)
\(620\) −4.14497 + 7.17929i −0.166466 + 0.288327i
\(621\) −22.5137 31.8942i −0.903443 1.27987i
\(622\) 4.58002 + 7.93282i 0.183642 + 0.318077i
\(623\) −1.01099 + 3.37696i −0.0405046 + 0.135295i
\(624\) 6.44830 + 3.30682i 0.258139 + 0.132379i
\(625\) 25.2736 + 16.6227i 1.01095 + 0.664909i
\(626\) −9.36704 + 1.09485i −0.374382 + 0.0437590i
\(627\) −2.29538 + 34.4105i −0.0916686 + 1.37422i
\(628\) 4.17567 + 2.09710i 0.166627 + 0.0836834i
\(629\) 2.91228 + 16.5164i 0.116120 + 0.658551i
\(630\) −30.7239 11.7729i −1.22407 0.469042i
\(631\) 1.49267 8.46536i 0.0594223 0.337001i −0.940574 0.339588i \(-0.889712\pi\)
0.999997 + 0.00258717i \(0.000823521\pi\)
\(632\) −5.69244 + 7.64628i −0.226433 + 0.304153i
\(633\) 22.7210 38.5988i 0.903079 1.53417i
\(634\) 11.6406 12.3383i 0.462308 0.490018i
\(635\) 8.76116 + 29.2643i 0.347676 + 1.16132i
\(636\) −0.353828 + 1.91226i −0.0140302 + 0.0758259i
\(637\) −29.7180 3.47354i −1.17747 0.137627i
\(638\) 4.32910 + 3.63255i 0.171391 + 0.143814i
\(639\) −3.35697 4.67160i −0.132800 0.184806i
\(640\) −2.23337 + 1.87402i −0.0882819 + 0.0740773i
\(641\) −6.21351 + 4.08669i −0.245419 + 0.161415i −0.666259 0.745720i \(-0.732106\pi\)
0.420840 + 0.907135i \(0.361735\pi\)
\(642\) −11.8796 16.2411i −0.468850 0.640985i
\(643\) 23.5984 + 31.6982i 0.930631 + 1.25005i 0.968051 + 0.250755i \(0.0806787\pi\)
−0.0374199 + 0.999300i \(0.511914\pi\)
\(644\) 25.2570 12.6846i 0.995267 0.499842i
\(645\) −33.9179 + 44.7669i −1.33552 + 1.76269i
\(646\) −22.1303 + 5.24499i −0.870706 + 0.206361i
\(647\) −36.6479 −1.44078 −0.720388 0.693571i \(-0.756036\pi\)
−0.720388 + 0.693571i \(0.756036\pi\)
\(648\) 8.82240 1.77914i 0.346576 0.0698912i
\(649\) −21.3497 −0.838049
\(650\) 14.2487 3.37700i 0.558880 0.132457i
\(651\) 7.19446 + 17.0729i 0.281973 + 0.669140i
\(652\) 12.5159 6.28571i 0.490159 0.246167i
\(653\) −14.8810 19.9887i −0.582340 0.782218i 0.409141 0.912471i \(-0.365828\pi\)
−0.991481 + 0.130253i \(0.958421\pi\)
\(654\) 1.77999 4.03266i 0.0696030 0.157690i
\(655\) 0.403435 0.265343i 0.0157635 0.0103678i
\(656\) −3.34050 + 2.80301i −0.130425 + 0.109439i
\(657\) −0.434101 + 0.208926i −0.0169359 + 0.00815096i
\(658\) −4.73894 3.97644i −0.184743 0.155018i
\(659\) 6.20553 + 0.725323i 0.241733 + 0.0282546i 0.236097 0.971730i \(-0.424132\pi\)
0.00563648 + 0.999984i \(0.498206\pi\)
\(660\) −8.83475 7.54105i −0.343892 0.293535i
\(661\) −2.30731 7.70696i −0.0897440 0.299766i 0.901320 0.433154i \(-0.142599\pi\)
−0.991064 + 0.133388i \(0.957414\pi\)
\(662\) −6.67497 + 7.07506i −0.259430 + 0.274980i
\(663\) −19.0397 0.160498i −0.739440 0.00623323i
\(664\) −1.32498 + 1.77976i −0.0514193 + 0.0690680i
\(665\) 16.4854 93.4933i 0.639276 3.62552i
\(666\) 18.1023 6.24517i 0.701451 0.241995i
\(667\) −3.20531 18.1782i −0.124110 0.703862i
\(668\) 9.34540 + 4.69344i 0.361584 + 0.181595i
\(669\) −8.76635 5.87217i −0.338927 0.227031i
\(670\) 4.24703 0.496406i 0.164077 0.0191778i
\(671\) 6.88139 + 4.52596i 0.265653 + 0.174723i
\(672\) 0.324008 + 6.50760i 0.0124989 + 0.251036i
\(673\) 2.73069 9.12116i 0.105261 0.351595i −0.889091 0.457730i \(-0.848663\pi\)
0.994352 + 0.106136i \(0.0338477\pi\)
\(674\) −8.66635 15.0106i −0.333815 0.578185i
\(675\) 11.2254 14.3082i 0.432065 0.550725i
\(676\) −2.25261 + 3.90164i −0.0866389 + 0.150063i
\(677\) −4.14696 4.39552i −0.159380 0.168933i 0.642762 0.766066i \(-0.277788\pi\)
−0.802143 + 0.597132i \(0.796307\pi\)
\(678\) −6.90716 + 22.3830i −0.265268 + 0.859616i
\(679\) −1.10982 + 19.0549i −0.0425910 + 0.731260i
\(680\) 3.03404 7.03369i 0.116350 0.269730i
\(681\) −31.5469 + 32.8781i −1.20888 + 1.25989i
\(682\) 0.380299 + 6.52948i 0.0145624 + 0.250027i
\(683\) −9.85302 3.58621i −0.377015 0.137222i 0.146560 0.989202i \(-0.453180\pi\)
−0.523575 + 0.851979i \(0.675402\pi\)
\(684\) 9.88212 + 24.0146i 0.377852 + 0.918222i
\(685\) 54.5906 19.8694i 2.08580 0.759169i
\(686\) −0.225376 0.522479i −0.00860488 0.0199484i
\(687\) −0.209585 + 0.172873i −0.00799616 + 0.00659552i
\(688\) 10.8226 + 2.56499i 0.412606 + 0.0977894i
\(689\) −4.57101 1.08335i −0.174142 0.0412723i
\(690\) 6.27298 + 37.4175i 0.238808 + 1.42446i
\(691\) −8.09693 18.7708i −0.308022 0.714074i 0.691947 0.721948i \(-0.256753\pi\)
−0.999969 + 0.00787360i \(0.997494\pi\)
\(692\) 12.7429 4.63805i 0.484413 0.176312i
\(693\) −25.3567 + 5.55990i −0.963220 + 0.211203i
\(694\) −22.2881 8.11220i −0.846044 0.307935i
\(695\) 3.69199 + 63.3891i 0.140045 + 2.40449i
\(696\) 4.13222 + 1.01622i 0.156631 + 0.0385196i
\(697\) 4.53807 10.5204i 0.171892 0.398490i
\(698\) −0.130456 + 2.23984i −0.00493782 + 0.0847791i
\(699\) −13.3060 14.3439i −0.503281 0.542536i
\(700\) 9.03510 + 9.57665i 0.341495 + 0.361963i
\(701\) −1.14992 + 1.99172i −0.0434320 + 0.0752264i −0.886924 0.461915i \(-0.847163\pi\)
0.843492 + 0.537141i \(0.180496\pi\)
\(702\) 3.23259 + 21.4986i 0.122006 + 0.811414i
\(703\) 27.6265 + 47.8505i 1.04195 + 1.80472i
\(704\) −0.659712 + 2.20359i −0.0248638 + 0.0830510i
\(705\) 6.97627 4.50458i 0.262742 0.169652i
\(706\) 11.6154 + 7.63957i 0.437151 + 0.287519i
\(707\) 19.3519 2.26191i 0.727802 0.0850679i
\(708\) −14.4265 + 7.09361i −0.542180 + 0.266594i
\(709\) −33.4321 16.7902i −1.25557 0.630570i −0.308385 0.951262i \(-0.599788\pi\)
−0.947184 + 0.320692i \(0.896085\pi\)
\(710\) 0.970789 + 5.50562i 0.0364331 + 0.206622i
\(711\) −28.5936 0.482102i −1.07234 0.0180802i
\(712\) −0.162719 + 0.922824i −0.00609814 + 0.0345843i
\(713\) 12.7573 17.1360i 0.477765 0.641750i
\(714\) −8.43444 14.8975i −0.315651 0.557524i
\(715\) 19.2548 20.4089i 0.720088 0.763249i
\(716\) −1.24807 4.16883i −0.0466425 0.155797i
\(717\) 39.5446 14.0167i 1.47682 0.523463i
\(718\) 20.3499 + 2.37856i 0.759452 + 0.0887672i
\(719\) −23.5264 19.7410i −0.877385 0.736214i 0.0882543 0.996098i \(-0.471871\pi\)
−0.965640 + 0.259884i \(0.916316\pi\)
\(720\) −8.47541 2.16024i −0.315860 0.0805075i
\(721\) −8.79953 + 7.38368i −0.327711 + 0.274983i
\(722\) −46.7277 + 30.7333i −1.73903 + 1.14378i
\(723\) −31.0954 + 3.36909i −1.15645 + 0.125298i
\(724\) 1.07159 + 1.43940i 0.0398255 + 0.0534949i
\(725\) 7.68406 3.85908i 0.285379 0.143323i
\(726\) 9.81133 + 1.23070i 0.364133 + 0.0456755i
\(727\) −16.9543 + 4.01825i −0.628801 + 0.149029i −0.532646 0.846338i \(-0.678802\pi\)
−0.0961545 + 0.995366i \(0.530654\pi\)
\(728\) −15.7392 −0.583332
\(729\) 19.7794 + 18.3787i 0.732569 + 0.680693i
\(730\) 0.468186 0.0173283
\(731\) −28.4355 + 6.73933i −1.05172 + 0.249263i
\(732\) 6.15370 + 0.771899i 0.227447 + 0.0285302i
\(733\) 14.0133 7.03774i 0.517593 0.259945i −0.170771 0.985311i \(-0.554626\pi\)
0.688364 + 0.725366i \(0.258329\pi\)
\(734\) 13.6347 + 18.3146i 0.503267 + 0.676005i
\(735\) 35.9018 3.88985i 1.32426 0.143479i
\(736\) 6.27720 4.12858i 0.231381 0.152181i
\(737\) 2.58433 2.16851i 0.0951951 0.0798781i
\(738\) −12.6768 3.23112i −0.466641 0.118939i
\(739\) 35.8862 + 30.1121i 1.32009 + 1.10769i 0.986285 + 0.165050i \(0.0527785\pi\)
0.333809 + 0.942641i \(0.391666\pi\)
\(740\) −18.4839 2.16046i −0.679481 0.0794199i
\(741\) −59.1248 + 20.9570i −2.17200 + 0.769873i
\(742\) −1.21137 4.04626i −0.0444708 0.148543i
\(743\) −24.3469 + 25.8062i −0.893200 + 0.946737i −0.998863 0.0476653i \(-0.984822\pi\)
0.105663 + 0.994402i \(0.466303\pi\)
\(744\) 2.42645 + 4.28576i 0.0889579 + 0.157124i
\(745\) 15.3017 20.5538i 0.560611 0.753032i
\(746\) 0.679977 3.85634i 0.0248957 0.141191i
\(747\) −6.65548 0.112215i −0.243511 0.00410572i
\(748\) −1.04947 5.95186i −0.0383726 0.217622i
\(749\) 39.0543 + 19.6138i 1.42701 + 0.716673i
\(750\) 6.79767 3.34247i 0.248216 0.122050i
\(751\) −3.16188 + 0.369570i −0.115378 + 0.0134858i −0.173586 0.984819i \(-0.555536\pi\)
0.0582077 + 0.998304i \(0.481461\pi\)
\(752\) −1.37395 0.903658i −0.0501026 0.0329530i
\(753\) 5.93507 3.83228i 0.216286 0.139656i
\(754\) −2.94809 + 9.84732i −0.107363 + 0.358618i
\(755\) 18.7056 + 32.3991i 0.680768 + 1.17912i
\(756\) −15.2868 + 12.1819i −0.555974 + 0.443052i
\(757\) 19.7532 34.2135i 0.717942 1.24351i −0.243872 0.969807i \(-0.578418\pi\)
0.961814 0.273704i \(-0.0882489\pi\)
\(758\) −3.67290 3.89304i −0.133406 0.141402i
\(759\) 20.3573 + 21.9452i 0.738924 + 0.796560i
\(760\) 1.46738 25.1939i 0.0532275 0.913880i
\(761\) 10.0606 23.3230i 0.364695 0.845458i −0.632773 0.774338i \(-0.718083\pi\)
0.997468 0.0711204i \(-0.0226575\pi\)
\(762\) 17.6230 + 4.33394i 0.638414 + 0.157002i
\(763\) 0.556663 + 9.55754i 0.0201526 + 0.346006i
\(764\) −23.6415 8.60480i −0.855319 0.311311i
\(765\) 22.4472 4.92195i 0.811581 0.177954i
\(766\) 20.9571 7.62775i 0.757210 0.275602i
\(767\) −15.3811 35.6575i −0.555380