Properties

Label 169.2.k.a.4.13
Level $169$
Weight $2$
Character 169.4
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [169,2,Mod(4,169)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(169, base_ring=CyclotomicField(78))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("169.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 169 = 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 169.k (of order \(78\), degree \(24\), 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: \(1.34947179416\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.13
Character \(\chi\) \(=\) 169.4
Dual form 169.2.k.a.127.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.95970 + 0.0789734i) q^{2} +(0.177516 - 0.612858i) q^{3} +(1.84069 + 0.148596i) q^{4} +(0.0713672 + 0.0270660i) q^{5} +(0.396279 - 1.18700i) q^{6} +(-0.605333 - 1.42077i) q^{7} +(-0.298517 - 0.0362466i) q^{8} +(2.19149 + 1.38581i) q^{9} +O(q^{10})\) \(q+(1.95970 + 0.0789734i) q^{2} +(0.177516 - 0.612858i) q^{3} +(1.84069 + 0.148596i) q^{4} +(0.0713672 + 0.0270660i) q^{5} +(0.396279 - 1.18700i) q^{6} +(-0.605333 - 1.42077i) q^{7} +(-0.298517 - 0.0362466i) q^{8} +(2.19149 + 1.38581i) q^{9} +(0.137721 + 0.0586775i) q^{10} +(0.108462 + 0.171519i) q^{11} +(0.417821 - 1.10170i) q^{12} +(-1.33034 + 3.35115i) q^{13} +(-1.07407 - 2.83209i) q^{14} +(0.0292565 - 0.0389333i) q^{15} +(-4.22767 - 0.687063i) q^{16} +(-5.66161 + 2.41219i) q^{17} +(4.18523 + 2.88885i) q^{18} +(0.558811 - 0.322630i) q^{19} +(0.127343 + 0.0604250i) q^{20} +(-0.978186 + 0.118773i) q^{21} +(0.199008 + 0.344691i) q^{22} +(2.33752 - 4.04870i) q^{23} +(-0.0752058 + 0.176514i) q^{24} +(-3.73819 - 3.31175i) q^{25} +(-2.87172 + 6.46220i) q^{26} +(2.67109 - 2.36638i) q^{27} +(-0.903110 - 2.70514i) q^{28} +(0.0968729 - 2.40388i) q^{29} +(0.0604087 - 0.0739873i) q^{30} +(6.07845 + 6.86115i) q^{31} +(-7.64146 - 1.56002i) q^{32} +(0.124370 - 0.0360243i) q^{33} +(-11.2856 + 4.28005i) q^{34} +(-0.00474638 - 0.117780i) q^{35} +(3.82792 + 2.87650i) q^{36} +(-1.35802 + 0.277241i) q^{37} +(1.12058 - 0.588128i) q^{38} +(1.81762 + 1.41019i) q^{39} +(-0.0203233 - 0.0106665i) q^{40} +(3.60147 + 1.04318i) q^{41} +(-1.92634 + 0.155510i) q^{42} +(0.272547 - 1.33502i) q^{43} +(0.174157 + 0.331829i) q^{44} +(0.118892 + 0.158216i) q^{45} +(4.90058 - 7.74965i) q^{46} +(-0.916812 + 0.632829i) q^{47} +(-1.17155 + 2.46900i) q^{48} +(3.19691 - 3.32834i) q^{49} +(-7.06421 - 6.78527i) q^{50} +(0.473298 + 3.89796i) q^{51} +(-2.94670 + 5.97074i) q^{52} +(0.0271438 - 0.223550i) q^{53} +(5.42143 - 4.42646i) q^{54} +(0.00309829 + 0.0151764i) q^{55} +(0.129204 + 0.446066i) q^{56} +(-0.0985281 - 0.399744i) q^{57} +(0.379684 - 4.70323i) q^{58} +(-0.288254 - 1.77370i) q^{59} +(0.0596374 - 0.0673167i) q^{60} +(8.17375 - 6.14217i) q^{61} +(11.3701 + 13.9259i) q^{62} +(0.642340 - 3.95248i) q^{63} +(-6.53445 - 1.61060i) q^{64} +(-0.185645 + 0.203155i) q^{65} +(0.246574 - 0.0607750i) q^{66} +(-0.174783 - 2.16507i) q^{67} +(-10.7797 + 3.59879i) q^{68} +(-2.06633 - 2.15128i) q^{69} -0.231189i q^{70} +(6.76014 - 6.49321i) q^{71} +(-0.603966 - 0.493123i) q^{72} +(-5.45930 + 10.4018i) q^{73} +(-2.68320 + 0.436063i) q^{74} +(-2.69322 + 1.70309i) q^{75} +(1.07654 - 0.510825i) q^{76} +(0.178033 - 0.257925i) q^{77} +(3.45063 + 2.90710i) q^{78} +(1.55852 + 2.25791i) q^{79} +(-0.283121 - 0.163460i) q^{80} +(2.35857 + 4.97058i) q^{81} +(6.97543 + 2.32874i) q^{82} +(-2.04142 + 8.28237i) q^{83} +(-1.81819 + 0.0732704i) q^{84} +(-0.469341 + 0.0189138i) q^{85} +(0.639542 - 2.59472i) q^{86} +(-1.45604 - 0.486097i) q^{87} +(-0.0261608 - 0.0551326i) q^{88} +(-12.6524 - 7.30488i) q^{89} +(0.220498 + 0.319447i) q^{90} +(5.56651 - 0.138461i) q^{91} +(4.90426 - 7.10505i) q^{92} +(5.28394 - 2.50726i) q^{93} +(-1.84666 + 1.16775i) q^{94} +(0.0486131 - 0.00790040i) q^{95} +(-2.31255 + 4.40620i) q^{96} +(1.08184 + 0.883293i) q^{97} +(6.52786 - 6.27009i) q^{98} +0.526188i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 360 q - 23 q^{2} - 24 q^{3} - 41 q^{4} - 26 q^{5} - 32 q^{6} - 26 q^{7} - 26 q^{8} - 11 q^{9} - 27 q^{10} - 26 q^{11} - 14 q^{12} - 34 q^{13} - 30 q^{14} - 84 q^{15} - 13 q^{16} - 31 q^{17} + 52 q^{18} - 33 q^{19} - 29 q^{20} - 26 q^{21} - 33 q^{22} + 57 q^{23} + 58 q^{24} + 2 q^{25} - 29 q^{26} - 30 q^{27} - 26 q^{28} - 19 q^{29} + 178 q^{30} - 78 q^{31} - 30 q^{32} - 26 q^{33} - 91 q^{34} - 18 q^{35} - 51 q^{36} - 41 q^{37} + 25 q^{38} + 12 q^{39} - 134 q^{40} - 17 q^{41} + 250 q^{42} - 28 q^{43} + 42 q^{45} + 18 q^{46} + 117 q^{47} - 57 q^{48} - 117 q^{49} - 20 q^{50} - 59 q^{51} + 37 q^{52} - 75 q^{53} + 118 q^{54} + 64 q^{55} - 42 q^{56} - 104 q^{57} - 87 q^{58} + 170 q^{59} + 78 q^{60} - 15 q^{61} + 19 q^{62} + 39 q^{63} + 32 q^{64} - 17 q^{65} + 73 q^{66} + 20 q^{67} - 76 q^{68} - 11 q^{69} + 46 q^{71} - 198 q^{72} - 26 q^{73} + 29 q^{74} - 70 q^{75} + 58 q^{76} + 6 q^{77} + 128 q^{78} - 54 q^{79} - 24 q^{80} - 7 q^{81} + 81 q^{82} + 234 q^{83} - 273 q^{84} - 74 q^{85} + 52 q^{86} - 112 q^{87} + 256 q^{88} - 27 q^{89} + 28 q^{90} - 78 q^{91} - 34 q^{92} + 51 q^{93} + 28 q^{94} - 11 q^{95} + 143 q^{96} + 40 q^{97} - 47 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/169\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.95970 + 0.0789734i 1.38572 + 0.0558426i 0.721873 0.692026i \(-0.243281\pi\)
0.663847 + 0.747868i \(0.268923\pi\)
\(3\) 0.177516 0.612858i 0.102489 0.353834i −0.892840 0.450374i \(-0.851291\pi\)
0.995329 + 0.0965406i \(0.0307778\pi\)
\(4\) 1.84069 + 0.148596i 0.920345 + 0.0742979i
\(5\) 0.0713672 + 0.0270660i 0.0319164 + 0.0121043i 0.370511 0.928828i \(-0.379182\pi\)
−0.338595 + 0.940932i \(0.609952\pi\)
\(6\) 0.396279 1.18700i 0.161780 0.484591i
\(7\) −0.605333 1.42077i −0.228794 0.537000i 0.765529 0.643402i \(-0.222477\pi\)
−0.994323 + 0.106401i \(0.966067\pi\)
\(8\) −0.298517 0.0362466i −0.105542 0.0128151i
\(9\) 2.19149 + 1.38581i 0.730496 + 0.461938i
\(10\) 0.137721 + 0.0586775i 0.0435512 + 0.0185555i
\(11\) 0.108462 + 0.171519i 0.0327024 + 0.0517148i 0.861146 0.508358i \(-0.169747\pi\)
−0.828443 + 0.560073i \(0.810773\pi\)
\(12\) 0.417821 1.10170i 0.120614 0.318034i
\(13\) −1.33034 + 3.35115i −0.368969 + 0.929442i
\(14\) −1.07407 2.83209i −0.287058 0.756909i
\(15\) 0.0292565 0.0389333i 0.00755399 0.0100525i
\(16\) −4.22767 0.687063i −1.05692 0.171766i
\(17\) −5.66161 + 2.41219i −1.37314 + 0.585041i −0.947472 0.319838i \(-0.896372\pi\)
−0.425669 + 0.904879i \(0.639961\pi\)
\(18\) 4.18523 + 2.88885i 0.986467 + 0.680909i
\(19\) 0.558811 0.322630i 0.128200 0.0740164i −0.434528 0.900658i \(-0.643085\pi\)
0.562729 + 0.826642i \(0.309752\pi\)
\(20\) 0.127343 + 0.0604250i 0.0284748 + 0.0135114i
\(21\) −0.978186 + 0.118773i −0.213458 + 0.0259185i
\(22\) 0.199008 + 0.344691i 0.0424285 + 0.0734884i
\(23\) 2.33752 4.04870i 0.487406 0.844212i −0.512489 0.858694i \(-0.671276\pi\)
0.999895 + 0.0144817i \(0.00460982\pi\)
\(24\) −0.0752058 + 0.176514i −0.0153513 + 0.0360309i
\(25\) −3.73819 3.31175i −0.747639 0.662350i
\(26\) −2.87172 + 6.46220i −0.563190 + 1.26734i
\(27\) 2.67109 2.36638i 0.514052 0.455410i
\(28\) −0.903110 2.70514i −0.170672 0.511224i
\(29\) 0.0968729 2.40388i 0.0179888 0.446388i −0.964948 0.262443i \(-0.915472\pi\)
0.982936 0.183946i \(-0.0588871\pi\)
\(30\) 0.0604087 0.0739873i 0.0110291 0.0135082i
\(31\) 6.07845 + 6.86115i 1.09172 + 1.23230i 0.970864 + 0.239630i \(0.0770261\pi\)
0.120858 + 0.992670i \(0.461435\pi\)
\(32\) −7.64146 1.56002i −1.35083 0.275774i
\(33\) 0.124370 0.0360243i 0.0216501 0.00627102i
\(34\) −11.2856 + 4.28005i −1.93546 + 0.734023i
\(35\) −0.00474638 0.117780i −0.000802285 0.0199085i
\(36\) 3.82792 + 2.87650i 0.637987 + 0.479416i
\(37\) −1.35802 + 0.277241i −0.223256 + 0.0455781i −0.310351 0.950622i \(-0.600447\pi\)
0.0870951 + 0.996200i \(0.472242\pi\)
\(38\) 1.12058 0.588128i 0.181783 0.0954070i
\(39\) 1.81762 + 1.41019i 0.291052 + 0.225811i
\(40\) −0.0203233 0.0106665i −0.00321340 0.00168652i
\(41\) 3.60147 + 1.04318i 0.562455 + 0.162917i 0.547253 0.836967i \(-0.315674\pi\)
0.0152022 + 0.999884i \(0.495161\pi\)
\(42\) −1.92634 + 0.155510i −0.297240 + 0.0239957i
\(43\) 0.272547 1.33502i 0.0415630 0.203589i −0.953707 0.300738i \(-0.902767\pi\)
0.995270 + 0.0971488i \(0.0309723\pi\)
\(44\) 0.174157 + 0.331829i 0.0262552 + 0.0500252i
\(45\) 0.118892 + 0.158216i 0.0177234 + 0.0235855i
\(46\) 4.90058 7.74965i 0.722551 1.14262i
\(47\) −0.916812 + 0.632829i −0.133731 + 0.0923076i −0.633052 0.774109i \(-0.718198\pi\)
0.499321 + 0.866417i \(0.333583\pi\)
\(48\) −1.17155 + 2.46900i −0.169099 + 0.356369i
\(49\) 3.19691 3.32834i 0.456702 0.475477i
\(50\) −7.06421 6.78527i −0.999031 0.959582i
\(51\) 0.473298 + 3.89796i 0.0662750 + 0.545824i
\(52\) −2.94670 + 5.97074i −0.408634 + 0.827993i
\(53\) 0.0271438 0.223550i 0.00372849 0.0307069i −0.990726 0.135876i \(-0.956615\pi\)
0.994454 + 0.105169i \(0.0335383\pi\)
\(54\) 5.42143 4.42646i 0.737763 0.602365i
\(55\) 0.00309829 + 0.0151764i 0.000417773 + 0.00204639i
\(56\) 0.129204 + 0.446066i 0.0172657 + 0.0596080i
\(57\) −0.0985281 0.399744i −0.0130504 0.0529474i
\(58\) 0.379684 4.70323i 0.0498550 0.617565i
\(59\) −0.288254 1.77370i −0.0375275 0.230916i 0.961511 0.274768i \(-0.0886011\pi\)
−0.999038 + 0.0438520i \(0.986037\pi\)
\(60\) 0.0596374 0.0673167i 0.00769916 0.00869055i
\(61\) 8.17375 6.14217i 1.04654 0.786425i 0.0690951 0.997610i \(-0.477989\pi\)
0.977446 + 0.211185i \(0.0677324\pi\)
\(62\) 11.3701 + 13.9259i 1.44401 + 1.76859i
\(63\) 0.642340 3.95248i 0.0809272 0.497965i
\(64\) −6.53445 1.61060i −0.816806 0.201325i
\(65\) −0.185645 + 0.203155i −0.0230264 + 0.0251983i
\(66\) 0.246574 0.0607750i 0.0303511 0.00748088i
\(67\) −0.174783 2.16507i −0.0213531 0.264506i −0.998621 0.0524978i \(-0.983282\pi\)
0.977268 0.212008i \(-0.0680003\pi\)
\(68\) −10.7797 + 3.59879i −1.30723 + 0.436418i
\(69\) −2.06633 2.15128i −0.248757 0.258983i
\(70\) 0.231189i 0.0276324i
\(71\) 6.76014 6.49321i 0.802281 0.770602i −0.174542 0.984650i \(-0.555844\pi\)
0.976823 + 0.214048i \(0.0686649\pi\)
\(72\) −0.603966 0.493123i −0.0711781 0.0581151i
\(73\) −5.45930 + 10.4018i −0.638963 + 1.21744i 0.323551 + 0.946211i \(0.395123\pi\)
−0.962514 + 0.271231i \(0.912569\pi\)
\(74\) −2.68320 + 0.436063i −0.311916 + 0.0506913i
\(75\) −2.69322 + 1.70309i −0.310987 + 0.196656i
\(76\) 1.07654 0.510825i 0.123488 0.0585956i
\(77\) 0.178033 0.257925i 0.0202887 0.0293933i
\(78\) 3.45063 + 2.90710i 0.390707 + 0.329164i
\(79\) 1.55852 + 2.25791i 0.175348 + 0.254035i 0.900797 0.434241i \(-0.142983\pi\)
−0.725449 + 0.688276i \(0.758368\pi\)
\(80\) −0.283121 0.163460i −0.0316539 0.0182754i
\(81\) 2.35857 + 4.97058i 0.262063 + 0.552287i
\(82\) 6.97543 + 2.32874i 0.770308 + 0.257166i
\(83\) −2.04142 + 8.28237i −0.224075 + 0.909108i 0.745930 + 0.666024i \(0.232005\pi\)
−0.970005 + 0.243084i \(0.921841\pi\)
\(84\) −1.81819 + 0.0732704i −0.198380 + 0.00799446i
\(85\) −0.469341 + 0.0189138i −0.0509072 + 0.00205149i
\(86\) 0.639542 2.59472i 0.0689636 0.279796i
\(87\) −1.45604 0.486097i −0.156104 0.0521150i
\(88\) −0.0261608 0.0551326i −0.00278875 0.00587716i
\(89\) −12.6524 7.30488i −1.34115 0.774315i −0.354177 0.935179i \(-0.615239\pi\)
−0.986977 + 0.160863i \(0.948572\pi\)
\(90\) 0.220498 + 0.319447i 0.0232425 + 0.0336726i
\(91\) 5.56651 0.138461i 0.583528 0.0145146i
\(92\) 4.90426 7.10505i 0.511305 0.740753i
\(93\) 5.28394 2.50726i 0.547919 0.259991i
\(94\) −1.84666 + 1.16775i −0.190468 + 0.120445i
\(95\) 0.0486131 0.00790040i 0.00498760 0.000810564i
\(96\) −2.31255 + 4.40620i −0.236024 + 0.449706i
\(97\) 1.08184 + 0.883293i 0.109844 + 0.0896848i 0.685776 0.727813i \(-0.259463\pi\)
−0.575932 + 0.817498i \(0.695361\pi\)
\(98\) 6.52786 6.27009i 0.659413 0.633375i
\(99\) 0.526188i 0.0528839i
\(100\) −6.38874 6.65138i −0.638874 0.665138i
\(101\) 4.55666 1.52124i 0.453405 0.151369i −0.0807883 0.996731i \(-0.525744\pi\)
0.534193 + 0.845363i \(0.320616\pi\)
\(102\) 0.619690 + 7.67623i 0.0613584 + 0.760060i
\(103\) 12.5777 3.10011i 1.23931 0.305463i 0.435415 0.900230i \(-0.356602\pi\)
0.803899 + 0.594766i \(0.202755\pi\)
\(104\) 0.518596 0.952157i 0.0508526 0.0933666i
\(105\) −0.0730251 0.0179991i −0.00712652 0.00175653i
\(106\) 0.0708483 0.435947i 0.00688140 0.0423429i
\(107\) −7.41674 9.08386i −0.717004 0.878170i 0.279634 0.960107i \(-0.409787\pi\)
−0.996638 + 0.0819366i \(0.973890\pi\)
\(108\) 5.26828 3.95886i 0.506941 0.380941i
\(109\) −9.94900 + 11.2301i −0.952941 + 1.07565i 0.0441187 + 0.999026i \(0.485952\pi\)
−0.997060 + 0.0766223i \(0.975586\pi\)
\(110\) 0.00487320 + 0.0299860i 0.000464641 + 0.00285905i
\(111\) −0.0711609 + 0.881485i −0.00675429 + 0.0836669i
\(112\) 1.58299 + 6.42245i 0.149579 + 0.606864i
\(113\) 0.681939 + 2.35433i 0.0641514 + 0.221476i 0.986189 0.165624i \(-0.0529638\pi\)
−0.922038 + 0.387100i \(0.873477\pi\)
\(114\) −0.161517 0.791161i −0.0151274 0.0740991i
\(115\) 0.276404 0.225677i 0.0257748 0.0210445i
\(116\) 0.535519 4.41039i 0.0497217 0.409495i
\(117\) −7.55948 + 5.50041i −0.698874 + 0.508513i
\(118\) −0.424818 3.49869i −0.0391077 0.322081i
\(119\) 6.85432 + 6.58366i 0.628334 + 0.603523i
\(120\) −0.0101448 + 0.0105618i −0.000926086 + 0.000964158i
\(121\) 4.69796 9.90075i 0.427088 0.900068i
\(122\) 16.5032 11.3913i 1.49413 1.03132i
\(123\) 1.27864 2.02201i 0.115291 0.182318i
\(124\) 10.1690 + 13.5325i 0.913204 + 1.21525i
\(125\) −0.354504 0.675450i −0.0317078 0.0604141i
\(126\) 1.57094 7.69496i 0.139950 0.685521i
\(127\) 15.9555 1.28806i 1.41583 0.114297i 0.651266 0.758850i \(-0.274238\pi\)
0.764560 + 0.644552i \(0.222956\pi\)
\(128\) 2.30391 + 0.667335i 0.203639 + 0.0589847i
\(129\) −0.769797 0.404021i −0.0677768 0.0355720i
\(130\) −0.379853 + 0.383463i −0.0333153 + 0.0336320i
\(131\) −15.9883 + 8.39132i −1.39691 + 0.733153i −0.984092 0.177661i \(-0.943147\pi\)
−0.412815 + 0.910815i \(0.635455\pi\)
\(132\) 0.234280 0.0478286i 0.0203915 0.00416295i
\(133\) −0.796650 0.598643i −0.0690783 0.0519090i
\(134\) −0.171539 4.25671i −0.0148188 0.367724i
\(135\) 0.254677 0.0965862i 0.0219191 0.00831282i
\(136\) 1.77752 0.514866i 0.152421 0.0441494i
\(137\) −5.13549 1.04842i −0.438755 0.0895724i −0.0244299 0.999702i \(-0.507777\pi\)
−0.414325 + 0.910129i \(0.635982\pi\)
\(138\) −3.87950 4.37905i −0.330245 0.372770i
\(139\) −0.896988 + 1.09861i −0.0760815 + 0.0931829i −0.811243 0.584709i \(-0.801209\pi\)
0.735162 + 0.677892i \(0.237106\pi\)
\(140\) 0.00876504 0.217502i 0.000740781 0.0183823i
\(141\) 0.225085 + 0.674213i 0.0189556 + 0.0567790i
\(142\) 13.7607 12.1909i 1.15477 1.02304i
\(143\) −0.719075 + 0.135294i −0.0601321 + 0.0113139i
\(144\) −8.31275 7.36445i −0.692729 0.613704i
\(145\) 0.0719769 0.168936i 0.00597735 0.0140294i
\(146\) −11.5201 + 19.9534i −0.953409 + 1.65135i
\(147\) −1.47229 2.55009i −0.121433 0.210328i
\(148\) −2.54088 + 0.308519i −0.208859 + 0.0253601i
\(149\) −16.1152 7.64676i −1.32021 0.626447i −0.367413 0.930058i \(-0.619756\pi\)
−0.952796 + 0.303611i \(0.901808\pi\)
\(150\) −5.41242 + 3.12486i −0.441922 + 0.255144i
\(151\) 14.0468 + 9.69580i 1.14311 + 0.789033i 0.980279 0.197620i \(-0.0633213\pi\)
0.162833 + 0.986654i \(0.447937\pi\)
\(152\) −0.178509 + 0.0760557i −0.0144790 + 0.00616893i
\(153\) −15.7502 2.55965i −1.27333 0.206936i
\(154\) 0.369261 0.491397i 0.0297559 0.0395979i
\(155\) 0.248098 + 0.654181i 0.0199277 + 0.0525451i
\(156\) 3.13613 + 2.86582i 0.251091 + 0.229449i
\(157\) −3.07409 + 8.10571i −0.245339 + 0.646906i −0.999957 0.00925811i \(-0.997053\pi\)
0.754618 + 0.656164i \(0.227822\pi\)
\(158\) 2.87593 + 4.54792i 0.228797 + 0.361813i
\(159\) −0.132186 0.0563190i −0.0104830 0.00446639i
\(160\) −0.503126 0.318158i −0.0397756 0.0251526i
\(161\) −7.16724 0.870261i −0.564858 0.0685862i
\(162\) 4.22956 + 9.92713i 0.332305 + 0.779949i
\(163\) −0.234191 + 0.701488i −0.0183433 + 0.0549448i −0.957310 0.289063i \(-0.906656\pi\)
0.938967 + 0.344008i \(0.111785\pi\)
\(164\) 6.47418 + 2.45533i 0.505548 + 0.191729i
\(165\) 0.00985099 0.000795254i 0.000766898 6.19104e-5i
\(166\) −4.65467 + 16.0698i −0.361272 + 1.24726i
\(167\) −23.0467 0.928750i −1.78341 0.0718688i −0.873535 0.486761i \(-0.838178\pi\)
−0.909871 + 0.414892i \(0.863819\pi\)
\(168\) 0.296311 0.0228609
\(169\) −9.46041 8.91631i −0.727724 0.685870i
\(170\) −0.921264 −0.0706577
\(171\) 1.67173 + 0.0673685i 0.127841 + 0.00515180i
\(172\) 0.700052 2.41686i 0.0533785 0.184284i
\(173\) −13.0598 1.05430i −0.992919 0.0801567i −0.426684 0.904401i \(-0.640318\pi\)
−0.566235 + 0.824244i \(0.691600\pi\)
\(174\) −2.81501 1.06759i −0.213406 0.0809341i
\(175\) −2.44238 + 7.31582i −0.184627 + 0.553024i
\(176\) −0.340696 0.799644i −0.0256810 0.0602754i
\(177\) −1.13820 0.138202i −0.0855521 0.0103879i
\(178\) −24.2181 15.3146i −1.81522 1.14788i
\(179\) −14.5045 6.17978i −1.08412 0.461898i −0.225355 0.974277i \(-0.572354\pi\)
−0.858760 + 0.512378i \(0.828765\pi\)
\(180\) 0.195333 + 0.308894i 0.0145592 + 0.0230236i
\(181\) −7.07229 + 18.6481i −0.525679 + 1.38610i 0.364803 + 0.931085i \(0.381136\pi\)
−0.890482 + 0.455018i \(0.849633\pi\)
\(182\) 10.9196 + 0.168264i 0.809418 + 0.0124725i
\(183\) −2.31330 6.09968i −0.171004 0.450901i
\(184\) −0.844541 + 1.12388i −0.0622604 + 0.0828536i
\(185\) −0.104422 0.0169702i −0.00767723 0.00124767i
\(186\) 10.5530 4.49620i 0.773781 0.329677i
\(187\) −1.02780 0.709441i −0.0751603 0.0518794i
\(188\) −1.78160 + 1.02861i −0.129937 + 0.0750190i
\(189\) −4.97898 2.36256i −0.362168 0.171851i
\(190\) 0.0958913 0.0116433i 0.00695668 0.000844694i
\(191\) −1.92367 3.33190i −0.139192 0.241088i 0.787999 0.615677i \(-0.211117\pi\)
−0.927191 + 0.374589i \(0.877784\pi\)
\(192\) −2.14704 + 3.71878i −0.154949 + 0.268380i
\(193\) −6.04346 + 14.1845i −0.435018 + 1.02102i 0.547827 + 0.836592i \(0.315455\pi\)
−0.982845 + 0.184433i \(0.940955\pi\)
\(194\) 2.05032 + 1.81643i 0.147205 + 0.130412i
\(195\) 0.0915503 + 0.149837i 0.00655606 + 0.0107301i
\(196\) 6.37910 5.65139i 0.455650 0.403671i
\(197\) 6.11016 + 18.3022i 0.435331 + 1.30397i 0.906602 + 0.421986i \(0.138667\pi\)
−0.471272 + 0.881988i \(0.656205\pi\)
\(198\) −0.0415549 + 1.03117i −0.00295318 + 0.0732823i
\(199\) 5.39643 6.60942i 0.382543 0.468530i −0.547060 0.837093i \(-0.684253\pi\)
0.929602 + 0.368564i \(0.120150\pi\)
\(200\) 0.995876 + 1.12411i 0.0704191 + 0.0794867i
\(201\) −1.35791 0.277219i −0.0957796 0.0195535i
\(202\) 9.04985 2.62132i 0.636745 0.184435i
\(203\) −3.47399 + 1.31751i −0.243826 + 0.0924712i
\(204\) 0.291974 + 7.24527i 0.0204423 + 0.507270i
\(205\) 0.228792 + 0.171926i 0.0159795 + 0.0120078i
\(206\) 24.8933 5.08201i 1.73440 0.354080i
\(207\) 10.7334 5.63331i 0.746021 0.391542i
\(208\) 7.92668 13.2535i 0.549616 0.918967i
\(209\) 0.115947 + 0.0608535i 0.00802020 + 0.00420933i
\(210\) −0.141686 0.0410399i −0.00977728 0.00283202i
\(211\) 23.0574 1.86139i 1.58734 0.128143i 0.744990 0.667076i \(-0.232454\pi\)
0.842349 + 0.538932i \(0.181172\pi\)
\(212\) 0.0831819 0.407452i 0.00571296 0.0279839i
\(213\) −2.77938 5.29566i −0.190440 0.362853i
\(214\) −13.8172 18.3874i −0.944527 1.25694i
\(215\) 0.0555846 0.0879000i 0.00379084 0.00599473i
\(216\) −0.883141 + 0.609588i −0.0600901 + 0.0414772i
\(217\) 6.06863 12.7894i 0.411965 0.868198i
\(218\) −20.3840 + 21.2220i −1.38058 + 1.43733i
\(219\) 5.40573 + 5.19227i 0.365285 + 0.350861i
\(220\) 0.00344784 + 0.0283955i 0.000232453 + 0.00191442i
\(221\) −0.551751 22.1819i −0.0371148 1.49212i
\(222\) −0.209068 + 1.72183i −0.0140317 + 0.115562i
\(223\) −5.29595 + 4.32401i −0.354643 + 0.289557i −0.792973 0.609257i \(-0.791468\pi\)
0.438329 + 0.898814i \(0.355570\pi\)
\(224\) 2.40921 + 11.8011i 0.160972 + 0.788493i
\(225\) −3.60274 12.4381i −0.240183 0.829206i
\(226\) 1.15047 + 4.66764i 0.0765281 + 0.310487i
\(227\) −1.21587 + 15.0612i −0.0807000 + 0.999649i 0.822031 + 0.569443i \(0.192841\pi\)
−0.902731 + 0.430206i \(0.858441\pi\)
\(228\) −0.121959 0.750446i −0.00807695 0.0496995i
\(229\) 7.56055 8.53410i 0.499615 0.563949i −0.443560 0.896245i \(-0.646285\pi\)
0.943175 + 0.332296i \(0.107823\pi\)
\(230\) 0.559493 0.420432i 0.0368919 0.0277224i
\(231\) −0.126468 0.154895i −0.00832096 0.0101913i
\(232\) −0.116051 + 0.714088i −0.00761909 + 0.0468821i
\(233\) 10.9049 + 2.68782i 0.714405 + 0.176085i 0.579735 0.814805i \(-0.303156\pi\)
0.134671 + 0.990890i \(0.457002\pi\)
\(234\) −15.2487 + 10.1822i −0.996841 + 0.665629i
\(235\) −0.0825585 + 0.0203488i −0.00538552 + 0.00132741i
\(236\) −0.267022 3.30767i −0.0173817 0.215311i
\(237\) 1.66044 0.554337i 0.107857 0.0360081i
\(238\) 12.9125 + 13.4433i 0.836993 + 0.871402i
\(239\) 20.9797i 1.35706i −0.734572 0.678531i \(-0.762617\pi\)
0.734572 0.678531i \(-0.237383\pi\)
\(240\) −0.150436 + 0.144496i −0.00971063 + 0.00932718i
\(241\) 18.3063 + 14.9466i 1.17921 + 0.962797i 0.999780 0.0209739i \(-0.00667670\pi\)
0.179432 + 0.983770i \(0.442574\pi\)
\(242\) 9.98852 19.0315i 0.642086 1.22339i
\(243\) 14.0319 2.28041i 0.900149 0.146288i
\(244\) 15.9580 10.0912i 1.02161 0.646026i
\(245\) 0.318240 0.151007i 0.0203316 0.00964746i
\(246\) 2.66544 3.86156i 0.169942 0.246204i
\(247\) 0.337774 + 2.30187i 0.0214920 + 0.146464i
\(248\) −1.56583 2.26850i −0.0994304 0.144050i
\(249\) 4.71353 + 2.72136i 0.298708 + 0.172459i
\(250\) −0.641380 1.35168i −0.0405644 0.0854877i
\(251\) −9.62565 3.21351i −0.607566 0.202835i −0.00379428 0.999993i \(-0.501208\pi\)
−0.603771 + 0.797158i \(0.706336\pi\)
\(252\) 1.76967 7.17983i 0.111479 0.452287i
\(253\) 0.947958 0.0382014i 0.0595976 0.00240170i
\(254\) 31.3699 1.26416i 1.96832 0.0793206i
\(255\) −0.0717243 + 0.290997i −0.00449155 + 0.0182229i
\(256\) 17.2296 + 5.75209i 1.07685 + 0.359505i
\(257\) −2.95406 6.22555i −0.184269 0.388339i 0.790204 0.612844i \(-0.209975\pi\)
−0.974473 + 0.224505i \(0.927923\pi\)
\(258\) −1.47667 0.852554i −0.0919333 0.0530777i
\(259\) 1.21595 + 1.76160i 0.0755553 + 0.109461i
\(260\) −0.371902 + 0.346360i −0.0230644 + 0.0214803i
\(261\) 3.54362 5.13382i 0.219344 0.317775i
\(262\) −31.9951 + 15.1819i −1.97666 + 0.937939i
\(263\) 9.35621 5.91651i 0.576928 0.364827i −0.213909 0.976854i \(-0.568620\pi\)
0.790838 + 0.612026i \(0.209645\pi\)
\(264\) −0.0384324 + 0.00624588i −0.00236535 + 0.000384407i
\(265\) 0.00798777 0.0152194i 0.000490685 0.000934922i
\(266\) −1.51392 1.23608i −0.0928245 0.0757888i
\(267\) −6.72286 + 6.45740i −0.411433 + 0.395186i
\(268\) 4.01120i 0.245023i
\(269\) 6.82025 + 7.10063i 0.415838 + 0.432933i 0.895869 0.444318i \(-0.146554\pi\)
−0.480031 + 0.877251i \(0.659375\pi\)
\(270\) 0.506719 0.169168i 0.0308379 0.0102952i
\(271\) 2.05625 + 25.4713i 0.124909 + 1.54727i 0.690956 + 0.722897i \(0.257190\pi\)
−0.566047 + 0.824373i \(0.691528\pi\)
\(272\) 25.5927 6.30804i 1.55179 0.382481i
\(273\) 0.903290 3.43606i 0.0546696 0.207960i
\(274\) −9.98125 2.46016i −0.602989 0.148623i
\(275\) 0.162576 1.00037i 0.00980367 0.0603244i
\(276\) −3.48380 4.26688i −0.209700 0.256836i
\(277\) −3.40210 + 2.55651i −0.204412 + 0.153606i −0.698019 0.716079i \(-0.745935\pi\)
0.493606 + 0.869685i \(0.335678\pi\)
\(278\) −1.84459 + 2.08211i −0.110631 + 0.124877i
\(279\) 3.81258 + 23.4597i 0.228253 + 1.40450i
\(280\) −0.00285225 + 0.0353315i −0.000170455 + 0.00211146i
\(281\) 1.68398 + 6.83216i 0.100458 + 0.407573i 0.999544 0.0301988i \(-0.00961403\pi\)
−0.899086 + 0.437772i \(0.855768\pi\)
\(282\) 0.387856 + 1.33903i 0.0230965 + 0.0797383i
\(283\) −5.21566 25.5480i −0.310039 1.51867i −0.774212 0.632926i \(-0.781854\pi\)
0.464173 0.885745i \(-0.346352\pi\)
\(284\) 13.4082 10.9474i 0.795630 0.649612i
\(285\) 0.00378781 0.0311954i 0.000224370 0.00184786i
\(286\) −1.41986 + 0.208349i −0.0839580 + 0.0123199i
\(287\) −0.697973 5.74833i −0.0412001 0.339313i
\(288\) −14.5843 14.0084i −0.859387 0.825452i
\(289\) 14.4588 15.0532i 0.850520 0.885485i
\(290\) 0.154395 0.325380i 0.00906638 0.0191070i
\(291\) 0.733377 0.506213i 0.0429913 0.0296748i
\(292\) −11.5945 + 18.3353i −0.678520 + 1.07299i
\(293\) 12.9160 + 17.1881i 0.754563 + 1.00414i 0.999402 + 0.0345770i \(0.0110084\pi\)
−0.244839 + 0.969564i \(0.578735\pi\)
\(294\) −2.68387 5.11369i −0.156527 0.298237i
\(295\) 0.0274351 0.134386i 0.00159733 0.00782425i
\(296\) 0.415440 0.0335378i 0.0241470 0.00194935i
\(297\) 0.695589 + 0.201480i 0.0403622 + 0.0116910i
\(298\) −30.9772 16.2581i −1.79446 0.941804i
\(299\) 10.4581 + 13.2195i 0.604808 + 0.764504i
\(300\) −5.21046 + 2.73466i −0.300826 + 0.157886i
\(301\) −2.06174 + 0.420907i −0.118837 + 0.0242607i
\(302\) 26.7619 + 20.1102i 1.53997 + 1.15721i
\(303\) −0.123420 3.06263i −0.00709028 0.175944i
\(304\) −2.58414 + 0.980034i −0.148211 + 0.0562088i
\(305\) 0.749582 0.217119i 0.0429209 0.0124322i
\(306\) −30.6635 6.26001i −1.75292 0.357861i
\(307\) −7.66686 8.65410i −0.437571 0.493916i 0.487812 0.872949i \(-0.337795\pi\)
−0.925383 + 0.379033i \(0.876257\pi\)
\(308\) 0.366030 0.448305i 0.0208565 0.0255445i
\(309\) 0.332812 8.25864i 0.0189330 0.469818i
\(310\) 0.434536 + 1.30159i 0.0246800 + 0.0739256i
\(311\) 2.12449 1.88213i 0.120469 0.106726i −0.600738 0.799446i \(-0.705126\pi\)
0.721206 + 0.692720i \(0.243588\pi\)
\(312\) −0.491477 0.486849i −0.0278244 0.0275624i
\(313\) 5.53165 + 4.90061i 0.312667 + 0.276999i 0.804832 0.593503i \(-0.202256\pi\)
−0.492164 + 0.870502i \(0.663794\pi\)
\(314\) −6.66445 + 15.6420i −0.376096 + 0.882731i
\(315\) 0.152820 0.264692i 0.00861042 0.0149137i
\(316\) 2.53324 + 4.38770i 0.142506 + 0.246828i
\(317\) 9.84398 1.19528i 0.552893 0.0671334i 0.160678 0.987007i \(-0.448632\pi\)
0.392215 + 0.919874i \(0.371709\pi\)
\(318\) −0.254597 0.120808i −0.0142771 0.00677456i
\(319\) 0.422816 0.244113i 0.0236732 0.0136677i
\(320\) −0.422753 0.291805i −0.0236326 0.0163124i
\(321\) −6.88371 + 2.93288i −0.384211 + 0.163697i
\(322\) −13.9769 2.27148i −0.778905 0.126584i
\(323\) −2.38553 + 3.17456i −0.132734 + 0.176637i
\(324\) 3.60279 + 9.49977i 0.200155 + 0.527765i
\(325\) 16.0712 8.12150i 0.891471 0.450500i
\(326\) −0.514344 + 1.35621i −0.0284869 + 0.0751137i
\(327\) 5.11634 + 8.09085i 0.282934 + 0.447425i
\(328\) −1.03729 0.441948i −0.0572748 0.0244025i
\(329\) 1.45408 + 0.919505i 0.0801661 + 0.0506939i
\(330\) 0.0192422 + 0.00233643i 0.00105925 + 0.000128616i
\(331\) −5.30158 12.4433i −0.291401 0.683943i 0.708359 0.705852i \(-0.249436\pi\)
−0.999760 + 0.0219091i \(0.993026\pi\)
\(332\) −4.98835 + 14.9419i −0.273771 + 0.820045i
\(333\) −3.36028 1.27439i −0.184142 0.0698359i
\(334\) −45.0913 3.64015i −2.46729 0.199180i
\(335\) 0.0461262 0.159246i 0.00252014 0.00870054i
\(336\) 4.21705 + 0.169941i 0.230059 + 0.00927107i
\(337\) −27.5972 −1.50331 −0.751657 0.659554i \(-0.770745\pi\)
−0.751657 + 0.659554i \(0.770745\pi\)
\(338\) −17.8355 18.2205i −0.970121 0.991062i
\(339\) 1.56392 0.0849406
\(340\) −0.866722 0.0349277i −0.0470046 0.00189422i
\(341\) −0.517536 + 1.78674i −0.0280261 + 0.0967574i
\(342\) 3.27078 + 0.264045i 0.176864 + 0.0142779i
\(343\) −16.7719 6.36076i −0.905600 0.343449i
\(344\) −0.129750 + 0.388648i −0.00699564 + 0.0209545i
\(345\) −0.0892417 0.209458i −0.00480461 0.0112768i
\(346\) −25.5101 3.09749i −1.37143 0.166522i
\(347\) 8.92807 + 5.64577i 0.479284 + 0.303081i 0.752174 0.658964i \(-0.229005\pi\)
−0.272890 + 0.962045i \(0.587980\pi\)
\(348\) −2.60788 1.11111i −0.139797 0.0595620i
\(349\) 8.40941 + 13.2984i 0.450145 + 0.711848i 0.991665 0.128840i \(-0.0411254\pi\)
−0.541520 + 0.840688i \(0.682151\pi\)
\(350\) −5.36410 + 14.1440i −0.286723 + 0.756027i
\(351\) 4.37664 + 12.0993i 0.233608 + 0.645813i
\(352\) −0.561235 1.47985i −0.0299139 0.0788765i
\(353\) 10.5126 13.9898i 0.559532 0.744602i −0.427695 0.903923i \(-0.640674\pi\)
0.987227 + 0.159322i \(0.0509307\pi\)
\(354\) −2.21961 0.360722i −0.117971 0.0191722i
\(355\) 0.658198 0.280432i 0.0349335 0.0148838i
\(356\) −22.2037 15.3261i −1.17679 0.812282i
\(357\) 5.25160 3.03201i 0.277944 0.160471i
\(358\) −27.9364 13.2560i −1.47649 0.700602i
\(359\) 27.7807 3.37319i 1.46621 0.178030i 0.651830 0.758365i \(-0.274001\pi\)
0.814378 + 0.580335i \(0.197078\pi\)
\(360\) −0.0297565 0.0515398i −0.00156831 0.00271639i
\(361\) −9.29182 + 16.0939i −0.489043 + 0.847048i
\(362\) −15.3323 + 35.9862i −0.805848 + 1.89139i
\(363\) −5.23379 4.63673i −0.274703 0.243365i
\(364\) 10.2668 + 0.572296i 0.538126 + 0.0299965i
\(365\) −0.671151 + 0.594588i −0.0351297 + 0.0311222i
\(366\) −4.05168 12.1363i −0.211785 0.634373i
\(367\) 1.41005 34.9901i 0.0736041 1.82647i −0.368641 0.929572i \(-0.620177\pi\)
0.442245 0.896894i \(-0.354182\pi\)
\(368\) −12.6640 + 15.5105i −0.660155 + 0.808543i
\(369\) 6.44693 + 7.27707i 0.335614 + 0.378829i
\(370\) −0.203295 0.0415030i −0.0105688 0.00215764i
\(371\) −0.334043 + 0.0967568i −0.0173427 + 0.00502336i
\(372\) 10.0987 3.82992i 0.523591 0.198572i
\(373\) −0.507745 12.5996i −0.0262900 0.652381i −0.957591 0.288130i \(-0.906966\pi\)
0.931301 0.364250i \(-0.118675\pi\)
\(374\) −1.95816 1.47146i −0.101254 0.0760875i
\(375\) −0.476885 + 0.0973568i −0.0246263 + 0.00502749i
\(376\) 0.296622 0.155679i 0.0152971 0.00802855i
\(377\) 7.92687 + 3.52260i 0.408255 + 0.181423i
\(378\) −9.57075 5.02312i −0.492266 0.258361i
\(379\) −13.0677 3.78509i −0.671240 0.194427i −0.0749393 0.997188i \(-0.523876\pi\)
−0.596301 + 0.802761i \(0.703363\pi\)
\(380\) 0.0906556 0.00731848i 0.00465054 0.000375430i
\(381\) 2.04297 10.0071i 0.104665 0.512681i
\(382\) −3.50670 6.68145i −0.179418 0.341853i
\(383\) 2.81531 + 3.74650i 0.143856 + 0.191437i 0.865620 0.500702i \(-0.166925\pi\)
−0.721764 + 0.692139i \(0.756668\pi\)
\(384\) 0.817964 1.29351i 0.0417415 0.0660089i
\(385\) 0.0196867 0.0135887i 0.00100333 0.000692547i
\(386\) −12.9636 + 27.3202i −0.659830 + 1.39056i
\(387\) 2.44737 2.54798i 0.124407 0.129521i
\(388\) 1.86007 + 1.78662i 0.0944309 + 0.0907021i
\(389\) 3.46746 + 28.5571i 0.175807 + 1.44790i 0.767143 + 0.641476i \(0.221678\pi\)
−0.591336 + 0.806425i \(0.701399\pi\)
\(390\) 0.167578 + 0.300867i 0.00848566 + 0.0152350i
\(391\) −3.46789 + 28.5607i −0.175379 + 1.44438i
\(392\) −1.07498 + 0.877691i −0.0542945 + 0.0443301i
\(393\) 2.30450 + 11.2882i 0.116247 + 0.569413i
\(394\) 10.5287 + 36.3494i 0.530429 + 1.83125i
\(395\) 0.0501148 + 0.203324i 0.00252155 + 0.0102303i
\(396\) −0.0781894 + 0.968549i −0.00392916 + 0.0486714i
\(397\) −5.14669 31.6689i −0.258305 1.58942i −0.714565 0.699569i \(-0.753375\pi\)
0.456260 0.889847i \(-0.349189\pi\)
\(398\) 11.0974 12.5263i 0.556261 0.627889i
\(399\) −0.508302 + 0.381964i −0.0254469 + 0.0191221i
\(400\) 13.5285 + 16.5694i 0.676423 + 0.828468i
\(401\) 5.37772 33.0905i 0.268551 1.65246i −0.405737 0.913990i \(-0.632985\pi\)
0.674287 0.738469i \(-0.264451\pi\)
\(402\) −2.63921 0.650506i −0.131632 0.0324443i
\(403\) −31.0791 + 11.2422i −1.54816 + 0.560012i
\(404\) 8.61345 2.12302i 0.428535 0.105624i
\(405\) 0.0337907 + 0.418574i 0.00167908 + 0.0207991i
\(406\) −6.91205 + 2.30758i −0.343039 + 0.114523i
\(407\) −0.194845 0.202855i −0.00965809 0.0100551i
\(408\) 1.18077i 0.0584566i
\(409\) 15.6894 15.0699i 0.775791 0.745157i −0.196101 0.980584i \(-0.562828\pi\)
0.971892 + 0.235426i \(0.0756486\pi\)
\(410\) 0.434787 + 0.354993i 0.0214726 + 0.0175318i
\(411\) −1.55417 + 2.96121i −0.0766613 + 0.146066i
\(412\) 23.6122 3.83736i 1.16329 0.189053i
\(413\) −2.34553 + 1.48322i −0.115416 + 0.0729846i
\(414\) 21.4791 10.1920i 1.05564 0.500908i
\(415\) −0.369861 + 0.535837i −0.0181558 + 0.0263032i
\(416\) 15.3936 23.5323i 0.754731 1.15377i
\(417\) 0.514062 + 0.744747i 0.0251737 + 0.0364704i
\(418\) 0.222415 + 0.128412i 0.0108787 + 0.00628082i
\(419\) −0.135519 0.285601i −0.00662055 0.0139525i 0.900113 0.435656i \(-0.143484\pi\)
−0.906734 + 0.421704i \(0.861432\pi\)
\(420\) −0.131742 0.0439819i −0.00642835 0.00214610i
\(421\) −5.73161 + 23.2540i −0.279341 + 1.13333i 0.648756 + 0.760996i \(0.275289\pi\)
−0.928098 + 0.372337i \(0.878557\pi\)
\(422\) 45.3327 1.82685i 2.20676 0.0889295i
\(423\) −2.88616 + 0.116308i −0.140330 + 0.00565511i
\(424\) −0.0162058 + 0.0657496i −0.000787024 + 0.00319308i
\(425\) 29.1527 + 9.73261i 1.41412 + 0.472101i
\(426\) −5.02854 10.5974i −0.243634 0.513447i
\(427\) −13.6744 7.89495i −0.661753 0.382063i
\(428\) −12.3021 17.8227i −0.594644 0.861491i
\(429\) −0.0447315 + 0.464708i −0.00215966 + 0.0224363i
\(430\) 0.115871 0.167868i 0.00558780 0.00809533i
\(431\) 27.5191 13.0580i 1.32555 0.628980i 0.371444 0.928455i \(-0.378863\pi\)
0.954104 + 0.299475i \(0.0968115\pi\)
\(432\) −12.9184 + 8.16907i −0.621534 + 0.393035i
\(433\) −6.43977 + 1.04656i −0.309476 + 0.0502947i −0.313166 0.949699i \(-0.601390\pi\)
0.00369011 + 0.999993i \(0.498825\pi\)
\(434\) 12.9027 24.5841i 0.619351 1.18007i
\(435\) −0.0907566 0.0741005i −0.00435145 0.00355285i
\(436\) −19.9818 + 19.1927i −0.956953 + 0.919166i
\(437\) 3.01661i 0.144304i
\(438\) 10.1836 + 10.6022i 0.486590 + 0.506594i
\(439\) 28.2916 9.44513i 1.35029 0.450792i 0.452712 0.891657i \(-0.350457\pi\)
0.897573 + 0.440865i \(0.145328\pi\)
\(440\) −0.000374800 0.00464273i −1.78679e−5 0.000221333i
\(441\) 11.6185 2.86369i 0.553260 0.136366i
\(442\) 0.670512 43.5136i 0.0318930 2.06973i
\(443\) 18.7508 + 4.62166i 0.890878 + 0.219582i 0.658084 0.752944i \(-0.271367\pi\)
0.232794 + 0.972526i \(0.425213\pi\)
\(444\) −0.261970 + 1.61197i −0.0124326 + 0.0765006i
\(445\) −0.705254 0.863779i −0.0334322 0.0409471i
\(446\) −10.7200 + 8.05555i −0.507606 + 0.381441i
\(447\) −7.54709 + 8.51891i −0.356965 + 0.402930i
\(448\) 1.66723 + 10.2589i 0.0787693 + 0.484687i
\(449\) −1.12992 + 13.9965i −0.0533241 + 0.660537i 0.913789 + 0.406190i \(0.133143\pi\)
−0.967113 + 0.254348i \(0.918139\pi\)
\(450\) −6.07802 24.6595i −0.286521 1.16246i
\(451\) 0.211697 + 0.730864i 0.00996843 + 0.0344150i
\(452\) 0.905395 + 4.43492i 0.0425862 + 0.208601i
\(453\) 8.43569 6.88753i 0.396343 0.323604i
\(454\) −3.57218 + 29.4195i −0.167651 + 1.38073i
\(455\) 0.401014 + 0.140782i 0.0187998 + 0.00659994i
\(456\) 0.0149230 + 0.122902i 0.000698833 + 0.00575541i
\(457\) −10.4238 10.0122i −0.487605 0.468351i 0.408140 0.912919i \(-0.366178\pi\)
−0.895745 + 0.444568i \(0.853357\pi\)
\(458\) 15.4904 16.1272i 0.723819 0.753576i
\(459\) −9.41452 + 19.8407i −0.439432 + 0.926084i
\(460\) 0.542309 0.374329i 0.0252853 0.0174532i
\(461\) −6.43448 + 10.1753i −0.299684 + 0.473912i −0.961136 0.276075i \(-0.910966\pi\)
0.661452 + 0.749987i \(0.269940\pi\)
\(462\) −0.235606 0.313535i −0.0109614 0.0145870i
\(463\) 15.3347 + 29.2178i 0.712663 + 1.35787i 0.924735 + 0.380611i \(0.124286\pi\)
−0.212073 + 0.977254i \(0.568021\pi\)
\(464\) −2.06116 + 10.0962i −0.0956870 + 0.468706i
\(465\) 0.444961 0.0359210i 0.0206346 0.00166580i
\(466\) 21.1582 + 6.12854i 0.980133 + 0.283899i
\(467\) −33.7293 17.7025i −1.56081 0.819174i −0.560845 0.827921i \(-0.689524\pi\)
−0.999962 + 0.00874657i \(0.997216\pi\)
\(468\) −14.7320 + 9.00123i −0.680987 + 0.416082i
\(469\) −2.97027 + 1.55892i −0.137154 + 0.0719841i
\(470\) −0.163397 + 0.0333578i −0.00753695 + 0.00153868i
\(471\) 4.42195 + 3.32288i 0.203753 + 0.153110i
\(472\) 0.0217584 + 0.539929i 0.00100151 + 0.0248522i
\(473\) 0.258542 0.0980519i 0.0118878 0.00450843i
\(474\) 3.29775 0.955206i 0.151471 0.0438741i
\(475\) −3.15741 0.644591i −0.144872 0.0295759i
\(476\) 11.6384 + 13.1370i 0.533444 + 0.602133i
\(477\) 0.369283 0.452290i 0.0169083 0.0207089i
\(478\) 1.65684 41.1140i 0.0757819 1.88051i
\(479\) −10.2429 30.6813i −0.468011 1.40187i −0.873079 0.487579i \(-0.837880\pi\)
0.405068 0.914287i \(-0.367248\pi\)
\(480\) −0.284299 + 0.251867i −0.0129764 + 0.0114961i
\(481\) 0.877542 4.91974i 0.0400125 0.224321i
\(482\) 34.6945 + 30.7367i 1.58029 + 1.40002i
\(483\) −1.80565 + 4.23802i −0.0821599 + 0.192836i
\(484\) 10.1187 17.5261i 0.459941 0.796641i
\(485\) 0.0533005 + 0.0923192i 0.00242025 + 0.00419200i
\(486\) 27.6785 3.36078i 1.25552 0.152448i
\(487\) −0.439236 0.208420i −0.0199037 0.00944442i 0.418715 0.908118i \(-0.362481\pi\)
−0.438618 + 0.898673i \(0.644532\pi\)
\(488\) −2.66264 + 1.53728i −0.120532 + 0.0695892i
\(489\) 0.388340 + 0.268051i 0.0175613 + 0.0121217i
\(490\) 0.635581 0.270796i 0.0287126 0.0122333i
\(491\) −28.6434 4.65501i −1.29266 0.210078i −0.525092 0.851046i \(-0.675969\pi\)
−0.767568 + 0.640968i \(0.778533\pi\)
\(492\) 2.65404 3.53189i 0.119653 0.159230i
\(493\) 5.25014 + 13.8435i 0.236454 + 0.623479i
\(494\) 0.480151 + 4.53765i 0.0216030 + 0.204159i
\(495\) −0.0142418 + 0.0375526i −0.000640122 + 0.00168786i
\(496\) −20.9837 33.1830i −0.942194 1.48996i
\(497\) −13.3175 5.67405i −0.597371 0.254516i
\(498\) 9.02221 + 5.70530i 0.404295 + 0.255661i
\(499\) −24.9976 3.03526i −1.11905 0.135877i −0.459958 0.887941i \(-0.652135\pi\)
−0.659090 + 0.752064i \(0.729059\pi\)
\(500\) −0.552162 1.29597i −0.0246934 0.0579576i
\(501\) −4.66036 + 13.9595i −0.208209 + 0.623663i
\(502\) −18.6096 7.05771i −0.830589 0.315001i
\(503\) −19.5843 1.58101i −0.873220 0.0704936i −0.364274 0.931292i \(-0.618683\pi\)
−0.508946 + 0.860798i \(0.669965\pi\)
\(504\) −0.335013 + 1.15660i −0.0149227 + 0.0515191i
\(505\) 0.366370 + 0.0147642i 0.0163033 + 0.000656999i
\(506\) 1.86073 0.0827197
\(507\) −7.14381 + 4.21509i −0.317268 + 0.187199i
\(508\) 29.5606 1.31154
\(509\) −5.86266 0.236257i −0.259858 0.0104719i −0.0900048 0.995941i \(-0.528688\pi\)
−0.169853 + 0.985469i \(0.554329\pi\)
\(510\) −0.163539 + 0.564604i −0.00724165 + 0.0250011i
\(511\) 18.0833 + 1.45983i 0.799958 + 0.0645793i
\(512\) 28.8252 + 10.9319i 1.27391 + 0.483128i
\(513\) 0.729171 2.18413i 0.0321937 0.0964319i
\(514\) −5.29743 12.4335i −0.233660 0.548420i
\(515\) 0.981540 + 0.119181i 0.0432518 + 0.00525172i
\(516\) −1.35692 0.858065i −0.0597351 0.0377742i
\(517\) −0.207981 0.0886124i −0.00914699 0.00389717i
\(518\) 2.24378 + 3.54825i 0.0985859 + 0.155901i
\(519\) −2.96446 + 7.81665i −0.130126 + 0.343113i
\(520\) 0.0627819 0.0539164i 0.00275317 0.00236439i
\(521\) 0.942402 + 2.48491i 0.0412874 + 0.108866i 0.954074 0.299571i \(-0.0968434\pi\)
−0.912787 + 0.408436i \(0.866074\pi\)
\(522\) 7.34988 9.78091i 0.321695 0.428099i
\(523\) −19.9046 3.23482i −0.870369 0.141449i −0.291206 0.956660i \(-0.594056\pi\)
−0.579163 + 0.815212i \(0.696621\pi\)
\(524\) −30.6765 + 13.0700i −1.34011 + 0.570967i
\(525\) 4.05000 + 2.79551i 0.176756 + 0.122006i
\(526\) 18.8026 10.8557i 0.819834 0.473332i
\(527\) −50.9642 24.1828i −2.22003 1.05342i
\(528\) −0.550547 + 0.0668485i −0.0239595 + 0.00290921i
\(529\) 0.572025 + 0.990776i 0.0248707 + 0.0430772i
\(530\) 0.0168556 0.0291948i 0.000732161 0.00126814i
\(531\) 1.82631 4.28651i 0.0792551 0.186019i
\(532\) −1.37743 1.22030i −0.0597191 0.0529065i
\(533\) −8.28701 + 10.6813i −0.358950 + 0.462658i
\(534\) −13.6848 + 12.1237i −0.592199 + 0.524642i
\(535\) −0.283448 0.849032i −0.0122545 0.0367068i
\(536\) −0.0263008 + 0.652648i −0.00113602 + 0.0281901i
\(537\) −6.36211 + 7.79217i −0.274545 + 0.336257i
\(538\) 12.8049 + 14.4538i 0.552059 + 0.623146i
\(539\) 0.917615 + 0.187332i 0.0395245 + 0.00806898i
\(540\) 0.483133 0.139941i 0.0207907 0.00602211i
\(541\) −11.9639 + 4.53730i −0.514368 + 0.195074i −0.598111 0.801413i \(-0.704082\pi\)
0.0837431 + 0.996487i \(0.473312\pi\)
\(542\) 2.01810 + 50.0786i 0.0866847 + 2.15106i
\(543\) 10.1732 + 7.64465i 0.436573 + 0.328063i
\(544\) 47.0260 9.60042i 2.01622 0.411615i
\(545\) −1.01399 + 0.532181i −0.0434344 + 0.0227961i
\(546\) 2.04154 6.66232i 0.0873697 0.285121i
\(547\) 3.40350 + 1.78630i 0.145523 + 0.0763765i 0.535913 0.844273i \(-0.319967\pi\)
−0.390390 + 0.920650i \(0.627660\pi\)
\(548\) −9.29705 2.69292i −0.397150 0.115036i
\(549\) 26.4246 2.13321i 1.12777 0.0910432i
\(550\) 0.397602 1.94759i 0.0169538 0.0830453i
\(551\) −0.721428 1.37457i −0.0307339 0.0585585i
\(552\) 0.538859 + 0.717091i 0.0229354 + 0.0305214i
\(553\) 2.26454 3.58109i 0.0962982 0.152283i
\(554\) −6.86901 + 4.74133i −0.291836 + 0.201440i
\(555\) −0.0289368 + 0.0609831i −0.00122830 + 0.00258859i
\(556\) −1.81432 + 1.88891i −0.0769445 + 0.0801077i
\(557\) −12.2365 11.7533i −0.518476 0.498003i 0.387187 0.922001i \(-0.373447\pi\)
−0.905663 + 0.423999i \(0.860626\pi\)
\(558\) 5.61883 + 46.2752i 0.237864 + 1.95899i
\(559\) 4.11128 + 2.68937i 0.173889 + 0.113748i
\(560\) −0.0608564 + 0.501197i −0.00257165 + 0.0211795i
\(561\) −0.617238 + 0.503959i −0.0260598 + 0.0212772i
\(562\) 2.76054 + 13.5220i 0.116446 + 0.570392i
\(563\) −6.24370 21.5558i −0.263141 0.908467i −0.977896 0.209092i \(-0.932949\pi\)
0.714755 0.699375i \(-0.246538\pi\)
\(564\) 0.314127 + 1.27446i 0.0132271 + 0.0536646i
\(565\) −0.0150541 + 0.186479i −0.000633332 + 0.00784523i
\(566\) −8.20354 50.4784i −0.344821 2.12177i
\(567\) 5.63433 6.35984i 0.236619 0.267088i
\(568\) −2.25338 + 1.69330i −0.0945496 + 0.0710494i
\(569\) 19.3641 + 23.7167i 0.811786 + 0.994257i 0.999927 + 0.0121152i \(0.00385647\pi\)
−0.188141 + 0.982142i \(0.560246\pi\)
\(570\) 0.00988658 0.0608346i 0.000414103 0.00254808i
\(571\) −30.1754 7.43756i −1.26280 0.311252i −0.449596 0.893232i \(-0.648432\pi\)
−0.813203 + 0.581980i \(0.802278\pi\)
\(572\) −1.34370 + 0.142183i −0.0561828 + 0.00594497i
\(573\) −2.38346 + 0.587471i −0.0995706 + 0.0245420i
\(574\) −0.913856 11.3201i −0.0381436 0.472494i
\(575\) −22.1464 + 7.39354i −0.923567 + 0.308332i
\(576\) −12.0882 12.5851i −0.503674 0.524380i
\(577\) 23.6041i 0.982653i −0.870976 0.491326i \(-0.836512\pi\)
0.870976 0.491326i \(-0.163488\pi\)
\(578\) 29.5239 28.3581i 1.22803 1.17954i
\(579\) 7.62029 + 6.22177i 0.316688 + 0.258568i
\(580\) 0.157590 0.300263i 0.00654358 0.0124677i
\(581\) 13.0031 2.11321i 0.539459 0.0876705i
\(582\) 1.47718 0.934111i 0.0612310 0.0387202i
\(583\) 0.0412869 0.0195909i 0.00170993 0.000811372i
\(584\) 2.00673 2.90725i 0.0830390 0.120303i
\(585\) −0.688373 + 0.187944i −0.0284607 + 0.00777051i
\(586\) 23.9542 + 34.7037i 0.989539 + 1.43359i
\(587\) 2.59294 + 1.49703i 0.107022 + 0.0617891i 0.552556 0.833476i \(-0.313653\pi\)
−0.445534 + 0.895265i \(0.646986\pi\)
\(588\) −2.33110 4.91270i −0.0961331 0.202596i
\(589\) 5.61032 + 1.87300i 0.231169 + 0.0771757i
\(590\) 0.0643776 0.261190i 0.00265038 0.0107530i
\(591\) 12.3013 0.495724i 0.506007 0.0203914i
\(592\) 5.93173 0.239040i 0.243792 0.00982450i
\(593\) 1.37033 5.55964i 0.0562726 0.228307i −0.936072 0.351809i \(-0.885567\pi\)
0.992344 + 0.123502i \(0.0394127\pi\)
\(594\) 1.34724 + 0.449774i 0.0552778 + 0.0184545i
\(595\) 0.310980 + 0.655376i 0.0127489 + 0.0268678i
\(596\) −28.5268 16.4700i −1.16850 0.674636i
\(597\) −3.09268 4.48052i −0.126575 0.183376i
\(598\) 19.4508 + 26.7322i 0.795403 + 1.09316i
\(599\) 16.2987 23.6127i 0.665945 0.964789i −0.333809 0.942641i \(-0.608334\pi\)
0.999755 0.0221479i \(-0.00705047\pi\)
\(600\) 0.865705 0.410782i 0.0353423 0.0167701i
\(601\) −5.23289 + 3.30908i −0.213454 + 0.134980i −0.636914 0.770934i \(-0.719790\pi\)
0.423461 + 0.905915i \(0.360815\pi\)
\(602\) −4.07364 + 0.662031i −0.166029 + 0.0269824i
\(603\) 2.61735 4.98695i 0.106587 0.203084i
\(604\) 24.4150 + 19.9343i 0.993434 + 0.811114i
\(605\) 0.603254 0.579434i 0.0245258 0.0235573i
\(606\) 6.01160i 0.244204i
\(607\) 0.436076 + 0.454003i 0.0176998 + 0.0184274i 0.729993 0.683454i \(-0.239523\pi\)
−0.712294 + 0.701882i \(0.752344\pi\)
\(608\) −4.77344 + 1.59361i −0.193589 + 0.0646294i
\(609\) 0.190756 + 2.36294i 0.00772984 + 0.0957513i
\(610\) 1.48610 0.366292i 0.0601706 0.0148307i
\(611\) −0.901038 3.91425i −0.0364521 0.158354i
\(612\) −28.6108 7.05194i −1.15652 0.285058i
\(613\) 5.56269 34.2286i 0.224675 1.38248i −0.592258 0.805749i \(-0.701763\pi\)
0.816933 0.576733i \(-0.195673\pi\)
\(614\) −14.3413 17.5650i −0.578770 0.708864i
\(615\) 0.145981 0.109697i 0.00588651 0.00442342i
\(616\) −0.0624948 + 0.0705420i −0.00251799 + 0.00284222i
\(617\) 3.13984 + 19.3202i 0.126405 + 0.777802i 0.970409 + 0.241465i \(0.0776280\pi\)
−0.844004 + 0.536336i \(0.819808\pi\)
\(618\) 1.30443 16.1582i 0.0524717 0.649978i
\(619\) 3.80828 + 15.4508i 0.153068 + 0.621021i 0.996486 + 0.0837626i \(0.0266937\pi\)
−0.843418 + 0.537258i \(0.819460\pi\)
\(620\) 0.359463 + 1.24101i 0.0144364 + 0.0498402i
\(621\) −3.33704 16.3459i −0.133911 0.655938i
\(622\) 4.31201 3.52065i 0.172896 0.141165i
\(623\) −2.71961 + 22.3980i −0.108959 + 0.897359i
\(624\) −6.71542 7.21065i −0.268832 0.288657i
\(625\) 3.00289 + 24.7310i 0.120116 + 0.989240i
\(626\) 10.4534 + 10.0406i 0.417801 + 0.401303i
\(627\) 0.0578770 0.0602563i 0.00231138 0.00240641i
\(628\) −6.86292 + 14.4633i −0.273860 + 0.577149i
\(629\) 7.01979 4.84541i 0.279898 0.193199i
\(630\) 0.320385 0.506649i 0.0127644 0.0201854i
\(631\) 20.6661 + 27.5016i 0.822705 + 1.09482i 0.993976 + 0.109598i \(0.0349563\pi\)
−0.171271 + 0.985224i \(0.554787\pi\)
\(632\) −0.383405 0.730517i −0.0152510 0.0290584i
\(633\) 2.95231 14.4614i 0.117344 0.574787i
\(634\) 19.3857 1.56497i 0.769904 0.0621531i
\(635\) 1.17357 + 0.339927i 0.0465715 + 0.0134896i
\(636\) −0.234944 0.123308i −0.00931613 0.00488948i
\(637\) 6.90079 + 15.1412i 0.273419 + 0.599914i
\(638\) 0.847873 0.444998i 0.0335676 0.0176176i
\(639\) 23.8131 4.86149i 0.942033 0.192317i
\(640\) 0.146361 + 0.109984i 0.00578545 + 0.00434748i
\(641\) 0.847967 + 21.0421i 0.0334927 + 0.831113i 0.925422 + 0.378938i \(0.123711\pi\)
−0.891929 + 0.452175i \(0.850648\pi\)
\(642\) −13.7217 + 5.20394i −0.541551 + 0.205383i
\(643\) −11.7245 + 3.39605i −0.462370 + 0.133927i −0.501224 0.865318i \(-0.667117\pi\)
0.0388534 + 0.999245i \(0.487629\pi\)
\(644\) −13.0634 2.66690i −0.514768 0.105091i
\(645\) −0.0440030 0.0496691i −0.00173262 0.00195572i
\(646\) −4.92563 + 6.03281i −0.193797 + 0.237358i
\(647\) 0.0924077 2.29307i 0.00363292 0.0901501i −0.996355 0.0853000i \(-0.972815\pi\)
0.999988 0.00485008i \(-0.00154383\pi\)
\(648\) −0.523908 1.56930i −0.0205810 0.0616477i
\(649\) 0.272958 0.241820i 0.0107145 0.00949225i
\(650\) 32.1362 14.6465i 1.26049 0.574485i
\(651\) −6.76078 5.98953i −0.264976 0.234748i
\(652\) −0.535311 + 1.25642i −0.0209644 + 0.0492053i
\(653\) −15.7357 + 27.2551i −0.615787 + 1.06657i 0.374459 + 0.927244i \(0.377829\pi\)
−0.990246 + 0.139331i \(0.955505\pi\)
\(654\) 9.38756 + 16.2597i 0.367083 + 0.635806i
\(655\) −1.36816 + 0.166125i −0.0534585 + 0.00649104i
\(656\) −14.5091 6.88465i −0.566485 0.268801i
\(657\) −26.3790 + 15.2299i −1.02914 + 0.594175i
\(658\) 2.77695 + 1.91679i 0.108257 + 0.0747243i
\(659\) −38.3879 + 16.3555i −1.49538 + 0.637121i −0.976068 0.217465i \(-0.930221\pi\)
−0.519310 + 0.854586i \(0.673811\pi\)
\(660\) 0.0180144 + 0.00292763i 0.000701211 + 0.000113958i
\(661\) 15.1160 20.1157i 0.587943 0.782411i −0.403213 0.915106i \(-0.632107\pi\)
0.991157 + 0.132695i \(0.0423632\pi\)
\(662\) −9.40684 24.8038i −0.365607 0.964027i
\(663\) −13.6923 3.59951i −0.531765 0.139793i
\(664\) 0.909608 2.39844i 0.0352996 0.0930775i
\(665\) −0.0406518 0.0642856i −0.00157641 0.00249289i
\(666\) −6.48451 2.76279i −0.251270 0.107056i
\(667\) −9.50613 6.01131i −0.368079 0.232759i
\(668\) −42.2838 5.13418i −1.63601 0.198647i
\(669\) 1.70989 + 4.01325i 0.0661080 + 0.155161i
\(670\) 0.102970 0.308432i 0.00397807 0.0119158i
\(671\) 1.94004 + 0.735758i 0.0748942 + 0.0284036i
\(672\) 7.66006 + 0.618384i 0.295493 + 0.0238547i
\(673\) 0.960824 3.31715i 0.0370370 0.127867i −0.939869 0.341534i \(-0.889054\pi\)
0.976907 + 0.213667i \(0.0685408\pi\)
\(674\) −54.0823 2.17944i −2.08317 0.0839490i
\(675\) −17.8219 −0.685966
\(676\) −16.0887 17.8179i −0.618798 0.685306i
\(677\) 42.4077 1.62986 0.814931 0.579558i \(-0.196775\pi\)
0.814931 + 0.579558i \(0.196775\pi\)
\(678\) 3.06483 + 0.123508i 0.117704 + 0.00474331i
\(679\) 0.600083 2.07173i 0.0230291 0.0795056i
\(680\) 0.140792 + 0.0113659i 0.00539913 + 0.000435863i
\(681\) 9.01456 + 3.41877i 0.345439 + 0.131008i
\(682\) −1.15532 + 3.46061i −0.0442395 + 0.132514i
\(683\) −14.3785 33.7476i −0.550178 1.29132i −0.930442 0.366438i \(-0.880577\pi\)
0.380264 0.924878i \(-0.375833\pi\)
\(684\) 3.06713 + 0.372417i 0.117275 + 0.0142397i
\(685\) −0.338129 0.213820i −0.0129193 0.00816964i
\(686\) −32.3657 13.7897i −1.23573 0.526495i
\(687\) −3.88807 6.14849i −0.148339 0.234579i
\(688\) −2.06948 + 5.45677i −0.0788982 + 0.208038i
\(689\) 0.713037 + 0.388359i 0.0271646 + 0.0147953i
\(690\) −0.158346 0.417523i −0.00602812 0.0158948i
\(691\) −24.8365 + 33.0514i −0.944827 + 1.25734i 0.0214340 + 0.999770i \(0.493177\pi\)
−0.966261 + 0.257566i \(0.917080\pi\)
\(692\) −23.8824 3.88126i −0.907872 0.147544i
\(693\) 0.747592 0.318519i 0.0283987 0.0120995i
\(694\) 17.0505 + 11.7691i 0.647228 + 0.446749i
\(695\) −0.0937505 + 0.0541269i −0.00355616 + 0.00205315i
\(696\) 0.417033 + 0.197885i 0.0158076 + 0.00750080i
\(697\) −22.9064 + 2.78135i −0.867643 + 0.105351i
\(698\) 15.4297 + 26.7251i 0.584024 + 1.01156i
\(699\) 3.58306 6.20604i 0.135524 0.234734i
\(700\) −5.58276 + 13.1032i −0.211009 + 0.495255i
\(701\) −34.2443 30.3378i −1.29339 1.14584i −0.980600 0.196019i \(-0.937199\pi\)
−0.312788 0.949823i \(-0.601263\pi\)
\(702\) 7.62141 + 24.0567i 0.287651 + 0.907962i
\(703\) −0.669429 + 0.593062i −0.0252480 + 0.0223678i
\(704\) −0.432491 1.29547i −0.0163001 0.0488248i
\(705\) −0.00218454 + 0.0542088i −8.22746e−5 + 0.00204162i
\(706\) 21.7065 26.5856i 0.816935 1.00056i
\(707\) −4.91962 5.55311i −0.185022 0.208846i
\(708\) −2.07453 0.423518i −0.0779656 0.0159168i
\(709\) 32.1426 9.31022i 1.20714 0.349653i 0.387143 0.922020i \(-0.373462\pi\)
0.819997 + 0.572367i \(0.193975\pi\)
\(710\) 1.31202 0.497583i 0.0492392 0.0186740i
\(711\) 0.286443 + 7.10801i 0.0107424 + 0.266571i
\(712\) 3.51219 + 2.63924i 0.131625 + 0.0989097i
\(713\) 41.9872 8.57176i 1.57243 0.321015i
\(714\) 10.5310 5.52711i 0.394114 0.206847i
\(715\) −0.0549802 0.00980692i −0.00205614 0.000366758i
\(716\) −25.7799 13.5304i −0.963442 0.505653i
\(717\) −12.8576 3.72424i −0.480174 0.139084i
\(718\) 54.7083 4.41651i 2.04170 0.164823i
\(719\) −9.79014 + 47.9553i −0.365111 + 1.78843i 0.217906 + 0.975970i \(0.430077\pi\)
−0.583016 + 0.812460i \(0.698128\pi\)
\(720\) −0.393931 0.750573i −0.0146810 0.0279722i
\(721\) −12.0182 15.9933i −0.447582 0.595623i
\(722\) −19.4802 + 30.8055i −0.724978 + 1.14646i
\(723\) 12.4098 8.56588i 0.461526 0.318569i
\(724\) −15.7889 + 33.2744i −0.586791 + 1.23664i
\(725\) −8.32316 + 8.66533i −0.309115 + 0.321822i
\(726\) −9.89049 9.49995i −0.367071 0.352576i
\(727\) −1.81390 14.9388i −0.0672738 0.554049i −0.986909 0.161276i \(-0.948439\pi\)
0.919636 0.392773i \(-0.128484\pi\)
\(728\) −1.66672 0.160434i −0.0617727 0.00594608i
\(729\) −0.896166 + 7.38059i −0.0331913 + 0.273355i
\(730\) −1.36221 + 1.11221i −0.0504178 + 0.0411649i
\(731\) 1.67727 + 8.21580i 0.0620360 + 0.303872i
\(732\) −3.35169 11.5714i −0.123882 0.427690i
\(733\) 0.135808 + 0.550994i 0.00501618 + 0.0203514i 0.973397 0.229127i \(-0.0735870\pi\)
−0.968380 + 0.249478i \(0.919741\pi\)
\(734\) 5.52657 68.4588i 0.203989 2.52686i
\(735\) −0.0360528 0.221842i −0.00132983 0.00818276i
\(736\) −24.1781 + 27.2914i −0.891216 + 1.00597i
\(737\) 0.352393 0.264806i 0.0129806 0.00975426i
\(738\) 12.0594 + 14.7701i 0.443912 + 0.543693i
\(739\) −3.66343 + 22.5420i −0.134762 + 0.829222i 0.828368 + 0.560184i \(0.189270\pi\)
−0.963130 + 0.269037i \(0.913294\pi\)
\(740\) −0.189686 0.0467534i −0.00697300 0.00171869i
\(741\) 1.47068 + 0.201612i 0.0540267 + 0.00740640i
\(742\) −0.662267 + 0.163234i −0.0243126 + 0.00599252i
\(743\) 0.855699 + 10.5997i 0.0313926 + 0.388867i 0.993306 + 0.115512i \(0.0368510\pi\)
−0.961913 + 0.273354i \(0.911867\pi\)
\(744\) −1.66823 + 0.556936i −0.0611602 + 0.0204183i
\(745\) −0.943130 0.981902i −0.0345536 0.0359741i
\(746\) 24.7315i 0.905485i
\(747\) −15.9516 + 15.3217i −0.583637 + 0.560591i
\(748\) −1.78644 1.45859i −0.0653189 0.0533312i
\(749\) −8.41647 + 16.0362i −0.307531 + 0.585952i
\(750\) −0.942243 + 0.153129i −0.0344058 + 0.00559149i
\(751\) 35.1071 22.2004i 1.28108 0.810103i 0.291845 0.956466i \(-0.405731\pi\)
0.989231 + 0.146363i \(0.0467566\pi\)
\(752\) 4.31077 2.04549i 0.157198 0.0745912i
\(753\) −3.67814 + 5.32870i −0.134039 + 0.194189i
\(754\) 15.2561 + 7.52926i 0.555596 + 0.274200i
\(755\) 0.740054 + 1.07215i 0.0269333 + 0.0390196i
\(756\) −8.81369 5.08859i −0.320551 0.185070i
\(757\) −22.6661 47.7678i −0.823814 1.73615i −0.662242 0.749290i \(-0.730395\pi\)
−0.161572 0.986861i \(-0.551656\pi\)
\(758\) −25.3098 8.44966i −0.919294 0.306905i
\(759\) 0.144866 0.587745i 0.00525831 0.0213338i
\(760\) −0.0147982 0.000596348i −0.000536788 2.16318e-5i
\(761\) 39.5841 1.59518i 1.43492 0.0578254i 0.689436 0.724346i \(-0.257858\pi\)
0.745486 + 0.666521i \(0.232217\pi\)
\(762\) 4.79392 19.4497i 0.173665 0.704588i
\(763\) 21.9778 + 7.33728i 0.795651 + 0.265627i
\(764\) −3.04578 6.41884i −0.110192 0.232225i
\(765\) −1.05477 0.608970i