Properties

Label 169.2.k.a.4.3
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 4.3
Character \(\chi\) \(=\) 169.4
Dual form 169.2.k.a.127.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.00062 - 0.0806224i) q^{2} +(-0.731230 + 2.52450i) q^{3} +(2.00248 + 0.161657i) q^{4} +(3.39858 + 1.28891i) q^{5} +(1.66645 - 4.99162i) q^{6} +(0.132610 + 0.311247i) q^{7} +(-0.0178867 - 0.00217183i) q^{8} +(-3.30283 - 2.08858i) q^{9} +O(q^{10})\) \(q+(-2.00062 - 0.0806224i) q^{2} +(-0.731230 + 2.52450i) q^{3} +(2.00248 + 0.161657i) q^{4} +(3.39858 + 1.28891i) q^{5} +(1.66645 - 4.99162i) q^{6} +(0.132610 + 0.311247i) q^{7} +(-0.0178867 - 0.00217183i) q^{8} +(-3.30283 - 2.08858i) q^{9} +(-6.69537 - 2.85263i) q^{10} +(0.00238191 + 0.00376669i) q^{11} +(-1.87238 + 4.93706i) q^{12} +(2.37696 + 2.71110i) q^{13} +(-0.240209 - 0.633379i) q^{14} +(-5.73901 + 7.63723i) q^{15} +(-3.93036 - 0.638745i) q^{16} +(0.00809655 - 0.00344962i) q^{17} +(6.43934 + 4.44476i) q^{18} +(-6.79345 + 3.92220i) q^{19} +(6.59725 + 3.13043i) q^{20} +(-0.882711 + 0.107180i) q^{21} +(-0.00446163 - 0.00772777i) q^{22} +(3.78890 - 6.56257i) q^{23} +(0.0185621 - 0.0435668i) q^{24} +(6.14652 + 5.44534i) q^{25} +(-4.53683 - 5.61553i) q^{26} +(1.78590 - 1.58217i) q^{27} +(0.215234 + 0.644704i) q^{28} +(0.0827532 - 2.05350i) q^{29} +(12.0973 - 14.8165i) q^{30} +(-4.27826 - 4.82916i) q^{31} +(7.84698 + 1.60197i) q^{32} +(-0.0112507 + 0.00325881i) q^{33} +(-0.0164763 + 0.00624863i) q^{34} +(0.0495157 + 1.22872i) q^{35} +(-6.27624 - 4.71629i) q^{36} +(-0.936614 + 0.191211i) q^{37} +(13.9074 - 7.29914i) q^{38} +(-8.58227 + 4.01820i) q^{39} +(-0.0579900 - 0.0304355i) q^{40} +(-0.964930 - 0.279495i) q^{41} +(1.77461 - 0.143262i) q^{42} +(-0.978870 + 4.79482i) q^{43} +(0.00416082 + 0.00792779i) q^{44} +(-8.53295 - 11.3553i) q^{45} +(-8.10926 + 12.8238i) q^{46} +(6.92404 - 4.77932i) q^{47} +(4.48651 - 9.45512i) q^{48} +(4.76978 - 4.96587i) q^{49} +(-11.8579 - 11.3896i) q^{50} +(0.00278812 + 0.0229622i) q^{51} +(4.32156 + 5.81318i) q^{52} +(-0.213557 + 1.75880i) q^{53} +(-3.70048 + 3.02135i) q^{54} +(0.00324019 + 0.0158715i) q^{55} +(-0.00169597 - 0.00585517i) q^{56} +(-4.93402 - 20.0181i) q^{57} +(-0.331116 + 4.10161i) q^{58} +(2.02929 + 12.4867i) q^{59} +(-12.7269 + 14.3657i) q^{60} +(10.0332 - 7.53947i) q^{61} +(8.16986 + 10.0063i) q^{62} +(0.212077 - 1.30496i) q^{63} +(-7.83728 - 1.93172i) q^{64} +(4.58393 + 12.2776i) q^{65} +(0.0227712 - 0.00561260i) q^{66} +(0.583355 + 7.22614i) q^{67} +(0.0167709 - 0.00559894i) q^{68} +(13.7966 + 14.3638i) q^{69} -2.46220i q^{70} +(6.99324 - 6.71710i) q^{71} +(0.0545406 + 0.0445310i) q^{72} +(-5.02409 + 9.57260i) q^{73} +(1.88923 - 0.307030i) q^{74} +(-18.2413 + 11.5351i) q^{75} +(-14.2378 + 6.75593i) q^{76} +(-0.000856505 + 0.00124086i) q^{77} +(17.4939 - 7.34699i) q^{78} +(-8.21232 - 11.8976i) q^{79} +(-12.5344 - 7.23671i) q^{80} +(-2.33745 - 4.92607i) q^{81} +(1.90793 + 0.636960i) q^{82} +(-0.316225 + 1.28298i) q^{83} +(-1.78494 + 0.0719307i) q^{84} +(0.0319631 - 0.00128807i) q^{85} +(2.34492 - 9.51372i) q^{86} +(5.12355 + 1.71049i) q^{87} +(-3.44238e-5 - 7.25466e-5i) q^{88} +(4.19964 + 2.42466i) q^{89} +(16.1557 + 23.4056i) q^{90} +(-0.528612 + 1.09934i) q^{91} +(8.64810 - 12.5289i) q^{92} +(15.3196 - 7.26925i) q^{93} +(-14.2377 + 9.00339i) q^{94} +(-28.1435 + 4.57376i) q^{95} +(-9.78213 + 18.6383i) q^{96} +(-0.503412 - 0.411023i) q^{97} +(-9.94290 + 9.55029i) q^{98} -0.0174156i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.00062 0.0806224i −1.41466 0.0570087i −0.678887 0.734242i \(-0.737538\pi\)
−0.735768 + 0.677234i \(0.763179\pi\)
\(3\) −0.731230 + 2.52450i −0.422176 + 1.45752i 0.414614 + 0.909997i \(0.363917\pi\)
−0.836790 + 0.547524i \(0.815571\pi\)
\(4\) 2.00248 + 0.161657i 1.00124 + 0.0808286i
\(5\) 3.39858 + 1.28891i 1.51989 + 0.576419i 0.966537 0.256526i \(-0.0825780\pi\)
0.553355 + 0.832945i \(0.313347\pi\)
\(6\) 1.66645 4.99162i 0.680325 2.03782i
\(7\) 0.132610 + 0.311247i 0.0501218 + 0.117640i 0.943158 0.332345i \(-0.107840\pi\)
−0.893036 + 0.449985i \(0.851429\pi\)
\(8\) −0.0178867 0.00217183i −0.00632389 0.000767859i
\(9\) −3.30283 2.08858i −1.10094 0.696195i
\(10\) −6.69537 2.85263i −2.11726 0.902081i
\(11\) 0.00238191 + 0.00376669i 0.000718173 + 0.00113570i 0.845549 0.533898i \(-0.179273\pi\)
−0.844831 + 0.535034i \(0.820299\pi\)
\(12\) −1.87238 + 4.93706i −0.540510 + 1.42521i
\(13\) 2.37696 + 2.71110i 0.659251 + 0.751923i
\(14\) −0.240209 0.633379i −0.0641986 0.169278i
\(15\) −5.73901 + 7.63723i −1.48181 + 1.97192i
\(16\) −3.93036 0.638745i −0.982589 0.159686i
\(17\) 0.00809655 0.00344962i 0.00196370 0.000836655i −0.390985 0.920397i \(-0.627865\pi\)
0.392948 + 0.919561i \(0.371455\pi\)
\(18\) 6.43934 + 4.44476i 1.51777 + 1.04764i
\(19\) −6.79345 + 3.92220i −1.55852 + 0.899814i −0.561125 + 0.827731i \(0.689631\pi\)
−0.997399 + 0.0720830i \(0.977035\pi\)
\(20\) 6.59725 + 3.13043i 1.47519 + 0.699986i
\(21\) −0.882711 + 0.107180i −0.192623 + 0.0233887i
\(22\) −0.00446163 0.00772777i −0.000951222 0.00164757i
\(23\) 3.78890 6.56257i 0.790040 1.36839i −0.135901 0.990722i \(-0.543393\pi\)
0.925941 0.377667i \(-0.123274\pi\)
\(24\) 0.0185621 0.0435668i 0.00378897 0.00889303i
\(25\) 6.14652 + 5.44534i 1.22930 + 1.08907i
\(26\) −4.53683 5.61553i −0.889746 1.10130i
\(27\) 1.78590 1.58217i 0.343697 0.304489i
\(28\) 0.215234 + 0.644704i 0.0406754 + 0.121838i
\(29\) 0.0827532 2.05350i 0.0153669 0.381325i −0.973146 0.230189i \(-0.926066\pi\)
0.988513 0.151136i \(-0.0482933\pi\)
\(30\) 12.0973 14.8165i 2.20866 2.70512i
\(31\) −4.27826 4.82916i −0.768399 0.867343i 0.225881 0.974155i \(-0.427474\pi\)
−0.994279 + 0.106812i \(0.965936\pi\)
\(32\) 7.84698 + 1.60197i 1.38716 + 0.283191i
\(33\) −0.0112507 + 0.00325881i −0.00195850 + 0.000567287i
\(34\) −0.0164763 + 0.00624863i −0.00282566 + 0.00107163i
\(35\) 0.0495157 + 1.22872i 0.00836969 + 0.207692i
\(36\) −6.27624 4.71629i −1.04604 0.786048i
\(37\) −0.936614 + 0.191211i −0.153978 + 0.0314349i −0.276396 0.961044i \(-0.589140\pi\)
0.122418 + 0.992479i \(0.460935\pi\)
\(38\) 13.9074 7.29914i 2.25607 1.18408i
\(39\) −8.58227 + 4.01820i −1.37426 + 0.643427i
\(40\) −0.0579900 0.0304355i −0.00916902 0.00481227i
\(41\) −0.964930 0.279495i −0.150697 0.0436498i 0.202012 0.979383i \(-0.435252\pi\)
−0.352708 + 0.935733i \(0.614739\pi\)
\(42\) 1.77461 0.143262i 0.273829 0.0221058i
\(43\) −0.978870 + 4.79482i −0.149276 + 0.731204i 0.834386 + 0.551180i \(0.185822\pi\)
−0.983662 + 0.180023i \(0.942383\pi\)
\(44\) 0.00416082 + 0.00792779i 0.000627268 + 0.00119516i
\(45\) −8.53295 11.3553i −1.27202 1.69275i
\(46\) −8.10926 + 12.8238i −1.19564 + 1.89076i
\(47\) 6.92404 4.77932i 1.00997 0.697135i 0.0564359 0.998406i \(-0.482026\pi\)
0.953538 + 0.301271i \(0.0974110\pi\)
\(48\) 4.48651 9.45512i 0.647572 1.36473i
\(49\) 4.76978 4.96587i 0.681397 0.709410i
\(50\) −11.8579 11.3896i −1.67695 1.61074i
\(51\) 0.00278812 + 0.0229622i 0.000390414 + 0.00321535i
\(52\) 4.32156 + 5.81318i 0.599293 + 0.806144i
\(53\) −0.213557 + 1.75880i −0.0293343 + 0.241589i 0.970665 + 0.240436i \(0.0772903\pi\)
−0.999999 + 0.00115368i \(0.999633\pi\)
\(54\) −3.70048 + 3.02135i −0.503571 + 0.411153i
\(55\) 0.00324019 + 0.0158715i 0.000436907 + 0.00214011i
\(56\) −0.00169597 0.00585517i −0.000226634 0.000782430i
\(57\) −4.93402 20.0181i −0.653526 2.65146i
\(58\) −0.331116 + 4.10161i −0.0434777 + 0.538568i
\(59\) 2.02929 + 12.4867i 0.264191 + 1.62563i 0.692094 + 0.721807i \(0.256688\pi\)
−0.427904 + 0.903824i \(0.640748\pi\)
\(60\) −12.7269 + 14.3657i −1.64303 + 1.85460i
\(61\) 10.0332 7.53947i 1.28462 0.965330i 0.284644 0.958633i \(-0.408125\pi\)
0.999978 0.00669709i \(-0.00213177\pi\)
\(62\) 8.16986 + 10.0063i 1.03757 + 1.27080i
\(63\) 0.212077 1.30496i 0.0267192 0.164410i
\(64\) −7.83728 1.93172i −0.979659 0.241464i
\(65\) 4.58393 + 12.2776i 0.568567 + 1.52285i
\(66\) 0.0227712 0.00561260i 0.00280294 0.000690864i
\(67\) 0.583355 + 7.22614i 0.0712681 + 0.882814i 0.929326 + 0.369261i \(0.120389\pi\)
−0.858058 + 0.513553i \(0.828329\pi\)
\(68\) 0.0167709 0.00559894i 0.00203377 0.000678971i
\(69\) 13.7966 + 14.3638i 1.66092 + 1.72920i
\(70\) 2.46220i 0.294289i
\(71\) 6.99324 6.71710i 0.829945 0.797173i −0.151592 0.988443i \(-0.548440\pi\)
0.981537 + 0.191270i \(0.0612606\pi\)
\(72\) 0.0545406 + 0.0445310i 0.00642767 + 0.00524803i
\(73\) −5.02409 + 9.57260i −0.588025 + 1.12039i 0.391709 + 0.920089i \(0.371884\pi\)
−0.979735 + 0.200300i \(0.935808\pi\)
\(74\) 1.88923 0.307030i 0.219618 0.0356915i
\(75\) −18.2413 + 11.5351i −2.10632 + 1.33196i
\(76\) −14.2378 + 6.75593i −1.63319 + 0.774958i
\(77\) −0.000856505 0.00124086i −9.76078e−5 0.000141409i
\(78\) 17.4939 7.34699i 1.98079 0.831883i
\(79\) −8.21232 11.8976i −0.923958 1.33858i −0.940885 0.338727i \(-0.890004\pi\)
0.0169268 0.999857i \(-0.494612\pi\)
\(80\) −12.5344 7.23671i −1.40138 0.809089i
\(81\) −2.33745 4.92607i −0.259716 0.547341i
\(82\) 1.90793 + 0.636960i 0.210696 + 0.0703405i
\(83\) −0.316225 + 1.28298i −0.0347102 + 0.140825i −0.985740 0.168273i \(-0.946181\pi\)
0.951030 + 0.309098i \(0.100027\pi\)
\(84\) −1.78494 + 0.0719307i −0.194753 + 0.00784828i
\(85\) 0.0319631 0.00128807i 0.00346688 0.000139711i
\(86\) 2.34492 9.51372i 0.252859 1.02589i
\(87\) 5.12355 + 1.71049i 0.549302 + 0.183384i
\(88\) −3.44238e−5 0 7.25466e-5i −3.66959e−6 0 7.73349e-6i
\(89\) 4.19964 + 2.42466i 0.445161 + 0.257014i 0.705784 0.708427i \(-0.250595\pi\)
−0.260623 + 0.965441i \(0.583928\pi\)
\(90\) 16.1557 + 23.4056i 1.70296 + 2.46717i
\(91\) −0.528612 + 1.09934i −0.0554136 + 0.115242i
\(92\) 8.64810 12.5289i 0.901627 1.30623i
\(93\) 15.3196 7.26925i 1.58857 0.753786i
\(94\) −14.2377 + 9.00339i −1.46851 + 0.928628i
\(95\) −28.1435 + 4.57376i −2.88746 + 0.469258i
\(96\) −9.78213 + 18.6383i −0.998384 + 1.90226i
\(97\) −0.503412 0.411023i −0.0511137 0.0417331i 0.606544 0.795050i \(-0.292555\pi\)
−0.657658 + 0.753317i \(0.728453\pi\)
\(98\) −9.94290 + 9.55029i −1.00438 + 0.964725i
\(99\) 0.0174156i 0.00175033i
\(100\) 11.4280 + 11.8978i 1.14280 + 1.18978i
\(101\) 3.11493 1.03992i 0.309947 0.103476i −0.157439 0.987529i \(-0.550324\pi\)
0.467386 + 0.884053i \(0.345196\pi\)
\(102\) −0.00372671 0.0461635i −0.000368999 0.00457087i
\(103\) 14.7198 3.62812i 1.45039 0.357489i 0.566065 0.824361i \(-0.308465\pi\)
0.884325 + 0.466872i \(0.154619\pi\)
\(104\) −0.0366279 0.0536549i −0.00359166 0.00526129i
\(105\) −3.13811 0.773475i −0.306248 0.0754835i
\(106\) 0.569045 3.50147i 0.0552705 0.340093i
\(107\) 0.358079 + 0.438567i 0.0346168 + 0.0423979i 0.791623 0.611010i \(-0.209236\pi\)
−0.757006 + 0.653407i \(0.773339\pi\)
\(108\) 3.83201 2.87957i 0.368735 0.277087i
\(109\) −3.09161 + 3.48971i −0.296123 + 0.334253i −0.877676 0.479255i \(-0.840907\pi\)
0.581553 + 0.813509i \(0.302445\pi\)
\(110\) −0.00520280 0.0320141i −0.000496067 0.00305242i
\(111\) 0.202168 2.50430i 0.0191890 0.237698i
\(112\) −0.322397 1.30801i −0.0304636 0.123596i
\(113\) −2.96382 10.2323i −0.278812 0.962572i −0.970645 0.240515i \(-0.922684\pi\)
0.691833 0.722058i \(-0.256803\pi\)
\(114\) 8.25721 + 40.4465i 0.773358 + 3.78816i
\(115\) 21.3355 17.4199i 1.98954 1.62441i
\(116\) 0.497675 4.09872i 0.0462079 0.380557i
\(117\) −2.18835 13.9188i −0.202313 1.28679i
\(118\) −3.05314 25.1448i −0.281064 2.31477i
\(119\) 0.00214736 + 0.00206257i 0.000196849 + 0.000189076i
\(120\) 0.119238 0.124140i 0.0108849 0.0113324i
\(121\) 4.71561 9.93794i 0.428692 0.903449i
\(122\) −20.6805 + 14.2748i −1.87233 + 1.29238i
\(123\) 1.41117 2.23159i 0.127241 0.201216i
\(124\) −7.78648 10.3619i −0.699247 0.930529i
\(125\) 5.42504 + 10.3365i 0.485230 + 0.924529i
\(126\) −0.529496 + 2.59364i −0.0471713 + 0.231060i
\(127\) −8.13941 + 0.657081i −0.722255 + 0.0583065i −0.436127 0.899885i \(-0.643650\pi\)
−0.286128 + 0.958191i \(0.592368\pi\)
\(128\) 0.138452 + 0.0401030i 0.0122375 + 0.00354464i
\(129\) −11.3887 5.97728i −1.00272 0.526270i
\(130\) −8.18088 24.9324i −0.717511 2.18672i
\(131\) −4.52006 + 2.37231i −0.394920 + 0.207270i −0.650480 0.759523i \(-0.725432\pi\)
0.255561 + 0.966793i \(0.417740\pi\)
\(132\) −0.0230562 + 0.00470696i −0.00200679 + 0.000409688i
\(133\) −2.12165 1.59432i −0.183970 0.138245i
\(134\) −0.584485 14.5038i −0.0504918 1.25294i
\(135\) 8.10881 3.07527i 0.697896 0.264677i
\(136\) −0.000152312 0 4.41178e-5i −1.30607e−5 0 3.78307e-6i
\(137\) 4.74665 + 0.969036i 0.405534 + 0.0827903i 0.398462 0.917185i \(-0.369544\pi\)
0.00707142 + 0.999975i \(0.497749\pi\)
\(138\) −26.4439 29.8489i −2.25105 2.54091i
\(139\) 4.70030 5.75682i 0.398674 0.488287i −0.535787 0.844353i \(-0.679985\pi\)
0.934461 + 0.356066i \(0.115882\pi\)
\(140\) −0.0994771 + 2.46850i −0.00840735 + 0.208626i
\(141\) 7.00232 + 20.9745i 0.589702 + 1.76637i
\(142\) −14.5324 + 12.8746i −1.21953 + 1.08041i
\(143\) −0.00455015 + 0.0154109i −0.000380503 + 0.00128872i
\(144\) 11.6472 + 10.3186i 0.970603 + 0.859879i
\(145\) 2.92802 6.87232i 0.243159 0.570715i
\(146\) 10.8231 18.7461i 0.895725 1.55144i
\(147\) 9.04853 + 15.6725i 0.746310 + 1.29265i
\(148\) −1.90647 + 0.231487i −0.156711 + 0.0190281i
\(149\) −21.5157 10.2093i −1.76263 0.836379i −0.975628 0.219431i \(-0.929580\pi\)
−0.787003 0.616949i \(-0.788369\pi\)
\(150\) 37.4239 21.6067i 3.05565 1.76418i
\(151\) 12.1096 + 8.35864i 0.985464 + 0.680216i 0.947731 0.319071i \(-0.103371\pi\)
0.0377330 + 0.999288i \(0.487986\pi\)
\(152\) 0.130030 0.0554008i 0.0105469 0.00449360i
\(153\) −0.0339464 0.00551682i −0.00274440 0.000446009i
\(154\) 0.00181359 0.00241344i 0.000146143 0.000194481i
\(155\) −8.31567 21.9266i −0.667930 1.76119i
\(156\) −17.8354 + 6.65900i −1.42798 + 0.533147i
\(157\) −1.63077 + 4.29998i −0.130149 + 0.343176i −0.984212 0.176995i \(-0.943362\pi\)
0.854062 + 0.520171i \(0.174132\pi\)
\(158\) 15.4706 + 24.4647i 1.23077 + 1.94631i
\(159\) −4.28392 1.82521i −0.339737 0.144749i
\(160\) 24.6038 + 15.5585i 1.94510 + 1.23001i
\(161\) 2.54502 + 0.309022i 0.200576 + 0.0243543i
\(162\) 4.27920 + 10.0437i 0.336206 + 0.789105i
\(163\) 5.52848 16.5598i 0.433024 1.29707i −0.475678 0.879620i \(-0.657797\pi\)
0.908702 0.417446i \(-0.137075\pi\)
\(164\) −1.88707 0.715673i −0.147356 0.0558847i
\(165\) −0.0424369 0.00342586i −0.00330371 0.000266703i
\(166\) 0.736084 2.54126i 0.0571312 0.197240i
\(167\) 15.6153 + 0.629276i 1.20835 + 0.0486948i 0.636246 0.771486i \(-0.280486\pi\)
0.572104 + 0.820181i \(0.306127\pi\)
\(168\) 0.0160215 0.00123609
\(169\) −1.70011 + 12.8884i −0.130777 + 0.991412i
\(170\) −0.0640499 −0.00491241
\(171\) 30.6295 + 1.23433i 2.34229 + 0.0943912i
\(172\) −2.73529 + 9.44331i −0.208564 + 0.720046i
\(173\) 13.7350 + 1.10880i 1.04425 + 0.0843006i 0.590669 0.806914i \(-0.298864\pi\)
0.453582 + 0.891215i \(0.350146\pi\)
\(174\) −10.1124 3.83512i −0.766618 0.290740i
\(175\) −0.879755 + 2.63519i −0.0665033 + 0.199202i
\(176\) −0.00695580 0.0163259i −0.000524313 0.00123061i
\(177\) −33.0066 4.00772i −2.48093 0.301239i
\(178\) −8.20643 5.18943i −0.615098 0.388964i
\(179\) 0.517446 + 0.220463i 0.0386757 + 0.0164782i 0.411218 0.911537i \(-0.365104\pi\)
−0.372542 + 0.928015i \(0.621514\pi\)
\(180\) −15.2514 24.1182i −1.13677 1.79767i
\(181\) −1.49977 + 3.95458i −0.111477 + 0.293942i −0.979132 0.203226i \(-0.934857\pi\)
0.867654 + 0.497168i \(0.165627\pi\)
\(182\) 1.14619 2.15675i 0.0849609 0.159869i
\(183\) 11.6968 + 30.8419i 0.864653 + 2.27990i
\(184\) −0.0820236 + 0.109154i −0.00604686 + 0.00804691i
\(185\) −3.42962 0.557367i −0.252150 0.0409784i
\(186\) −31.2349 + 13.3079i −2.29025 + 0.975785i
\(187\) 3.22789e−5 0 2.22805e-5i 2.36047e−6 0 1.62931e-6i
\(188\) 14.6379 8.45119i 1.06758 0.616366i
\(189\) 0.729274 + 0.346045i 0.0530469 + 0.0251710i
\(190\) 56.6733 6.88138i 4.11151 0.499228i
\(191\) 8.75831 + 15.1698i 0.633729 + 1.09765i 0.986783 + 0.162048i \(0.0518101\pi\)
−0.353053 + 0.935603i \(0.614857\pi\)
\(192\) 10.6075 18.3727i 0.765528 1.32593i
\(193\) −3.74154 + 8.78171i −0.269322 + 0.632121i −0.998645 0.0520483i \(-0.983425\pi\)
0.729323 + 0.684170i \(0.239835\pi\)
\(194\) 0.974001 + 0.862889i 0.0699292 + 0.0619518i
\(195\) −34.3467 + 2.59440i −2.45962 + 0.185789i
\(196\) 10.3542 9.17300i 0.739584 0.655215i
\(197\) −0.0644449 0.193036i −0.00459151 0.0137533i 0.946216 0.323536i \(-0.104872\pi\)
−0.950807 + 0.309783i \(0.899744\pi\)
\(198\) −0.00140408 + 0.0348420i −9.97840e−5 + 0.00247611i
\(199\) 6.69891 8.20467i 0.474873 0.581614i −0.480508 0.876990i \(-0.659548\pi\)
0.955381 + 0.295377i \(0.0954451\pi\)
\(200\) −0.0981143 0.110748i −0.00693773 0.00783108i
\(201\) −18.6690 3.81130i −1.31681 0.268828i
\(202\) −6.31565 + 1.82935i −0.444367 + 0.128713i
\(203\) 0.650119 0.246557i 0.0456294 0.0173049i
\(204\) 0.00187115 + 0.0464322i 0.000131007 + 0.00325090i
\(205\) −2.91915 2.19360i −0.203882 0.153208i
\(206\) −29.7414 + 6.07175i −2.07218 + 0.423039i
\(207\) −26.2206 + 13.7616i −1.82246 + 0.956499i
\(208\) −7.61061 12.1739i −0.527701 0.844105i
\(209\) −0.0309551 0.0162465i −0.00214121 0.00112379i
\(210\) 6.21583 + 1.80044i 0.428933 + 0.124242i
\(211\) −14.1030 + 1.13851i −0.970888 + 0.0783782i −0.555723 0.831368i \(-0.687558\pi\)
−0.415165 + 0.909746i \(0.636276\pi\)
\(212\) −0.711966 + 3.48744i −0.0488980 + 0.239518i
\(213\) 11.8436 + 22.5662i 0.811513 + 1.54621i
\(214\) −0.681023 0.906277i −0.0465538 0.0619518i
\(215\) −9.50688 + 15.0339i −0.648364 + 1.02531i
\(216\) −0.0353800 + 0.0244211i −0.00240731 + 0.00166164i
\(217\) 0.935721 1.97199i 0.0635209 0.133867i
\(218\) 6.46650 6.73234i 0.437967 0.455972i
\(219\) −20.4923 19.6831i −1.38474 1.33006i
\(220\) 0.00392268 + 0.0323062i 0.000264467 + 0.00217808i
\(221\) 0.0285974 + 0.0137509i 0.00192367 + 0.000924988i
\(222\) −0.606365 + 4.99387i −0.0406966 + 0.335167i
\(223\) −16.7762 + 13.6973i −1.12342 + 0.917241i −0.997201 0.0747619i \(-0.976180\pi\)
−0.126215 + 0.992003i \(0.540283\pi\)
\(224\) 0.541978 + 2.65478i 0.0362124 + 0.177380i
\(225\) −8.92787 30.8226i −0.595191 2.05484i
\(226\) 5.10453 + 20.7099i 0.339549 + 1.37760i
\(227\) −1.09547 + 13.5699i −0.0727092 + 0.900665i 0.852873 + 0.522118i \(0.174858\pi\)
−0.925582 + 0.378547i \(0.876424\pi\)
\(228\) −6.64422 40.8835i −0.440024 2.70758i
\(229\) 7.56873 8.54333i 0.500156 0.564559i −0.443166 0.896440i \(-0.646145\pi\)
0.943321 + 0.331881i \(0.107683\pi\)
\(230\) −44.0887 + 33.1305i −2.90712 + 2.18456i
\(231\) −0.00250625 0.00306960i −0.000164899 0.000201965i
\(232\) −0.00594004 + 0.0365505i −0.000389982 + 0.00239966i
\(233\) −15.5541 3.83374i −1.01898 0.251157i −0.305771 0.952105i \(-0.598914\pi\)
−0.713212 + 0.700948i \(0.752760\pi\)
\(234\) 3.25590 + 28.0227i 0.212845 + 1.83190i
\(235\) 29.6920 7.31843i 1.93689 0.477402i
\(236\) 2.04505 + 25.3325i 0.133121 + 1.64900i
\(237\) 36.0406 12.0321i 2.34109 0.781570i
\(238\) −0.00412978 0.00429956i −0.000267694 0.000278699i
\(239\) 10.5719i 0.683839i −0.939729 0.341919i \(-0.888923\pi\)
0.939729 0.341919i \(-0.111077\pi\)
\(240\) 27.4346 26.3513i 1.77089 1.70097i
\(241\) 1.57210 + 1.28358i 0.101268 + 0.0826828i 0.681727 0.731607i \(-0.261229\pi\)
−0.580459 + 0.814290i \(0.697127\pi\)
\(242\) −10.2354 + 19.5019i −0.657955 + 1.25363i
\(243\) 21.2102 3.44699i 1.36063 0.221125i
\(244\) 21.3102 13.4757i 1.36424 0.862695i
\(245\) 22.6111 10.7291i 1.44457 0.685456i
\(246\) −3.00314 + 4.35080i −0.191473 + 0.277397i
\(247\) −26.7812 9.09479i −1.70405 0.578687i
\(248\) 0.0660357 + 0.0956692i 0.00419327 + 0.00607500i
\(249\) −3.00764 1.73646i −0.190601 0.110044i
\(250\) −10.0201 21.1169i −0.633727 1.33555i
\(251\) −3.67382 1.22650i −0.231890 0.0774162i 0.198348 0.980132i \(-0.436442\pi\)
−0.430238 + 0.902715i \(0.641570\pi\)
\(252\) 0.635638 2.57888i 0.0400414 0.162454i
\(253\) 0.0337440 0.00135984i 0.00212146 8.54921e-5i
\(254\) 16.3369 0.658353i 1.02507 0.0413088i
\(255\) −0.0201206 + 0.0816326i −0.00126000 + 0.00511203i
\(256\) 15.0391 + 5.02079i 0.939943 + 0.313799i
\(257\) 1.16815 + 2.46183i 0.0728675 + 0.153565i 0.936615 0.350359i \(-0.113940\pi\)
−0.863748 + 0.503924i \(0.831889\pi\)
\(258\) 22.3027 + 12.8765i 1.38851 + 0.801654i
\(259\) −0.183718 0.266162i −0.0114157 0.0165385i
\(260\) 7.19449 + 25.3267i 0.446184 + 1.57070i
\(261\) −4.56223 + 6.60953i −0.282395 + 0.409119i
\(262\) 9.23421 4.38169i 0.570491 0.270702i
\(263\) 13.2220 8.36110i 0.815305 0.515568i −0.0605366 0.998166i \(-0.519281\pi\)
0.875842 + 0.482598i \(0.160307\pi\)
\(264\) 0.000208316 0 3.38546e-5i 1.28209e−5 0 2.08361e-6i
\(265\) −2.99273 + 5.70216i −0.183842 + 0.350281i
\(266\) 4.11609 + 3.36068i 0.252373 + 0.206057i
\(267\) −9.19197 + 8.82901i −0.562540 + 0.540327i
\(268\) 14.5645i 0.889671i
\(269\) −10.2799 10.7025i −0.626774 0.652541i 0.329793 0.944053i \(-0.393021\pi\)
−0.956567 + 0.291513i \(0.905841\pi\)
\(270\) −16.4706 + 5.49870i −1.00237 + 0.334640i
\(271\) 0.620658 + 7.68823i 0.0377023 + 0.467027i 0.987870 + 0.155286i \(0.0496300\pi\)
−0.950167 + 0.311741i \(0.899088\pi\)
\(272\) −0.0340258 + 0.00838660i −0.00206311 + 0.000508512i
\(273\) −2.38875 2.13835i −0.144574 0.129419i
\(274\) −9.41814 2.32136i −0.568971 0.140239i
\(275\) −0.00587045 + 0.0361223i −0.000354001 + 0.00217826i
\(276\) 25.3055 + 30.9937i 1.52321 + 1.86560i
\(277\) −16.3610 + 12.2945i −0.983035 + 0.738703i −0.965301 0.261140i \(-0.915902\pi\)
−0.0177341 + 0.999843i \(0.505645\pi\)
\(278\) −9.86766 + 11.1383i −0.591823 + 0.668030i
\(279\) 4.04427 + 24.8854i 0.242124 + 1.48985i
\(280\) 0.00178291 0.0220852i 0.000106549 0.00131985i
\(281\) −3.35179 13.5987i −0.199951 0.811232i −0.982134 0.188184i \(-0.939740\pi\)
0.782183 0.623049i \(-0.214106\pi\)
\(282\) −12.3180 42.5267i −0.733526 2.53243i
\(283\) −1.27892 6.26455i −0.0760237 0.372389i 0.923924 0.382575i \(-0.124963\pi\)
−0.999948 + 0.0101864i \(0.996758\pi\)
\(284\) 15.0897 12.3204i 0.895410 0.731080i
\(285\) 9.03290 74.3927i 0.535063 4.40664i
\(286\) 0.0103456 0.0304645i 0.000611749 0.00180140i
\(287\) −0.0409672 0.337395i −0.00241822 0.0199158i
\(288\) −22.5714 21.6801i −1.33003 1.27751i
\(289\) −11.7763 + 12.2604i −0.692721 + 0.721199i
\(290\) −6.41194 + 13.5129i −0.376522 + 0.793503i
\(291\) 1.40574 0.970311i 0.0824058 0.0568806i
\(292\) −11.6081 + 18.3568i −0.679315 + 1.07425i
\(293\) −7.26507 9.66805i −0.424430 0.564814i 0.535686 0.844418i \(-0.320053\pi\)
−0.960115 + 0.279604i \(0.909797\pi\)
\(294\) −16.8391 32.0843i −0.982079 1.87120i
\(295\) −9.19758 + 45.0527i −0.535504 + 2.62307i
\(296\) 0.0171682 0.00138596i 0.000997880 8.05572e-5i
\(297\) 0.0102134 + 0.00295835i 0.000592642 + 0.000171661i
\(298\) 42.2217 + 22.1596i 2.44584 + 1.28367i
\(299\) 26.7978 5.32689i 1.54976 0.308062i
\(300\) −38.3926 + 20.1500i −2.21660 + 1.16336i
\(301\) −1.62218 + 0.331171i −0.0935009 + 0.0190884i
\(302\) −23.5528 17.6988i −1.35531 1.01845i
\(303\) 0.347538 + 8.62406i 0.0199655 + 0.495439i
\(304\) 29.2060 11.0764i 1.67508 0.635273i
\(305\) 43.8164 12.6916i 2.50892 0.726718i
\(306\) 0.0674692 + 0.0137739i 0.00385696 + 0.000787403i
\(307\) −4.01817 4.53558i −0.229329 0.258859i 0.622571 0.782563i \(-0.286088\pi\)
−0.851900 + 0.523704i \(0.824550\pi\)
\(308\) −0.00191573 + 0.00234635i −0.000109159 + 0.000133695i
\(309\) −1.60442 + 39.8132i −0.0912722 + 2.26490i
\(310\) 14.8687 + 44.5373i 0.844488 + 2.52955i
\(311\) 4.10576 3.63739i 0.232816 0.206257i −0.538646 0.842532i \(-0.681064\pi\)
0.771462 + 0.636275i \(0.219526\pi\)
\(312\) 0.162235 0.0532330i 0.00918475 0.00301372i
\(313\) −10.6573 9.44155i −0.602387 0.533668i 0.305875 0.952072i \(-0.401051\pi\)
−0.908261 + 0.418404i \(0.862590\pi\)
\(314\) 3.60923 8.47117i 0.203680 0.478056i
\(315\) 2.40274 4.16168i 0.135379 0.234484i
\(316\) −14.5217 25.1523i −0.816910 1.41493i
\(317\) 15.1084 1.83450i 0.848574 0.103036i 0.315314 0.948987i \(-0.397890\pi\)
0.533259 + 0.845952i \(0.320967\pi\)
\(318\) 8.42337 + 3.99694i 0.472359 + 0.224137i
\(319\) 0.00793200 0.00457954i 0.000444107 0.000256405i
\(320\) −24.1458 16.6667i −1.34979 0.931694i
\(321\) −1.36900 + 0.583277i −0.0764102 + 0.0325553i
\(322\) −5.06672 0.823422i −0.282357 0.0458875i
\(323\) −0.0414734 + 0.0551911i −0.00230764 + 0.00307091i
\(324\) −3.88437 10.2422i −0.215798 0.569013i
\(325\) −0.152813 + 29.6072i −0.00847651 + 1.64231i
\(326\) −12.3955 + 32.6843i −0.686524 + 1.81021i
\(327\) −6.54909 10.3566i −0.362165 0.572719i
\(328\) 0.0166524 + 0.00709491i 0.000919473 + 0.000391751i
\(329\) 2.40574 + 1.52130i 0.132633 + 0.0838719i
\(330\) 0.0846240 + 0.0102752i 0.00465840 + 0.000565632i
\(331\) −0.515144 1.20909i −0.0283149 0.0664574i 0.905222 0.424940i \(-0.139705\pi\)
−0.933537 + 0.358482i \(0.883294\pi\)
\(332\) −0.840638 + 2.51802i −0.0461360 + 0.138194i
\(333\) 3.49284 + 1.32466i 0.191406 + 0.0725909i
\(334\) −31.1897 2.51789i −1.70662 0.137773i
\(335\) −7.33129 + 25.3105i −0.400551 + 1.38286i
\(336\) 3.53783 + 0.142570i 0.193004 + 0.00777781i
\(337\) −15.0011 −0.817160 −0.408580 0.912723i \(-0.633976\pi\)
−0.408580 + 0.912723i \(0.633976\pi\)
\(338\) 4.44036 25.6477i 0.241524 1.39505i
\(339\) 27.9986 1.52068
\(340\) 0.0642137 + 0.00258773i 0.00348248 + 0.000140339i
\(341\) 0.00799951 0.0276175i 0.000433198 0.00149557i
\(342\) −61.1785 4.93884i −3.30816 0.267062i
\(343\) 4.39247 + 1.66584i 0.237171 + 0.0899471i
\(344\) 0.0279223 0.0836374i 0.00150547 0.00450943i
\(345\) 28.3753 + 66.5993i 1.52768 + 3.58559i
\(346\) −27.3891 3.32564i −1.47245 0.178788i
\(347\) −20.5731 13.0096i −1.10442 0.698394i −0.147594 0.989048i \(-0.547153\pi\)
−0.956828 + 0.290654i \(0.906127\pi\)
\(348\) 9.98331 + 4.25349i 0.535161 + 0.228011i
\(349\) −18.5094 29.2703i −0.990787 1.56680i −0.812612 0.582805i \(-0.801955\pi\)
−0.178175 0.983999i \(-0.557019\pi\)
\(350\) 1.97252 5.20110i 0.105435 0.278010i
\(351\) 8.53444 + 1.08100i 0.455535 + 0.0576993i
\(352\) 0.0126567 + 0.0333729i 0.000674602 + 0.00177878i
\(353\) 3.50589 4.66549i 0.186600 0.248319i −0.696443 0.717612i \(-0.745235\pi\)
0.883042 + 0.469294i \(0.155491\pi\)
\(354\) 65.7107 + 10.6790i 3.49248 + 0.567584i
\(355\) 32.4249 13.8149i 1.72093 0.733221i
\(356\) 8.01775 + 5.53426i 0.424940 + 0.293315i
\(357\) −0.00677718 + 0.00391281i −0.000358686 + 0.000207088i
\(358\) −1.01744 0.482782i −0.0537734 0.0255158i
\(359\) 6.35856 0.772069i 0.335592 0.0407483i 0.0489938 0.998799i \(-0.484399\pi\)
0.286598 + 0.958051i \(0.407475\pi\)
\(360\) 0.127964 + 0.221640i 0.00674430 + 0.0116815i
\(361\) 21.2673 36.8360i 1.11933 1.93874i
\(362\) 3.31931 7.79072i 0.174459 0.409471i
\(363\) 21.6401 + 19.1715i 1.13581 + 1.00624i
\(364\) −1.23625 + 2.11596i −0.0647973 + 0.110906i
\(365\) −29.4130 + 26.0577i −1.53955 + 1.36392i
\(366\) −20.9144 62.6462i −1.09321 3.27457i
\(367\) −0.237033 + 5.88191i −0.0123730 + 0.307033i 0.981139 + 0.193305i \(0.0619205\pi\)
−0.993512 + 0.113729i \(0.963720\pi\)
\(368\) −19.0835 + 23.3731i −0.994798 + 1.21841i
\(369\) 2.60325 + 2.93846i 0.135520 + 0.152970i
\(370\) 6.81644 + 1.39159i 0.354370 + 0.0723451i
\(371\) −0.575740 + 0.166765i −0.0298909 + 0.00865801i
\(372\) 31.8524 12.0800i 1.65147 0.626320i
\(373\) 1.05549 + 26.1917i 0.0546512 + 1.35615i 0.761212 + 0.648503i \(0.224604\pi\)
−0.706561 + 0.707652i \(0.749754\pi\)
\(374\) −6.27816e−5 0 4.71773e-5i −3.24636e−6 0 2.43948e-6i
\(375\) −30.0616 + 6.13711i −1.55237 + 0.316919i
\(376\) −0.134228 + 0.0704482i −0.00692227 + 0.00363309i
\(377\) 5.76394 4.65674i 0.296858 0.239834i
\(378\) −1.43110 0.751101i −0.0736080 0.0386325i
\(379\) −5.71958 1.65670i −0.293795 0.0850987i 0.128047 0.991768i \(-0.459129\pi\)
−0.421842 + 0.906669i \(0.638616\pi\)
\(380\) −57.0962 + 4.60928i −2.92897 + 0.236451i
\(381\) 4.29298 21.0284i 0.219936 1.07732i
\(382\) −16.2991 31.0553i −0.833933 1.58893i
\(383\) −5.07267 6.75050i −0.259201 0.344934i 0.651017 0.759063i \(-0.274343\pi\)
−0.910218 + 0.414129i \(0.864086\pi\)
\(384\) −0.202480 + 0.320197i −0.0103328 + 0.0163400i
\(385\) −0.00451027 + 0.00311321i −0.000229864 + 0.000158664i
\(386\) 8.19342 17.2673i 0.417034 0.878880i
\(387\) 13.2474 13.7920i 0.673405 0.701089i
\(388\) −0.941630 0.904448i −0.0478040 0.0459164i
\(389\) −2.28226 18.7961i −0.115715 0.952999i −0.928730 0.370757i \(-0.879098\pi\)
0.813015 0.582243i \(-0.197825\pi\)
\(390\) 68.9240 2.42130i 3.49010 0.122607i
\(391\) 0.00803867 0.0662044i 0.000406533 0.00334810i
\(392\) −0.0961005 + 0.0784636i −0.00485381 + 0.00396301i
\(393\) −2.68369 13.1456i −0.135374 0.663108i
\(394\) 0.113367 + 0.391389i 0.00571135 + 0.0197179i
\(395\) −12.5753 51.0199i −0.632731 2.56709i
\(396\) 0.00281535 0.0348744i 0.000141477 0.00175250i
\(397\) −4.18250 25.7359i −0.209914 1.29165i −0.851401 0.524516i \(-0.824246\pi\)
0.641487 0.767134i \(-0.278318\pi\)
\(398\) −14.0635 + 15.8744i −0.704939 + 0.795711i
\(399\) 5.57627 4.19029i 0.279162 0.209777i
\(400\) −20.6798 25.3282i −1.03399 1.26641i
\(401\) −3.60662 + 22.1924i −0.180106 + 1.10824i 0.726783 + 0.686867i \(0.241014\pi\)
−0.906889 + 0.421369i \(0.861550\pi\)
\(402\) 37.0423 + 9.13011i 1.84750 + 0.455369i
\(403\) 2.92306 23.0775i 0.145608 1.14957i
\(404\) 6.40571 1.57887i 0.318696 0.0785515i
\(405\) −1.59474 19.7544i −0.0792433 0.981605i
\(406\) −1.32052 + 0.440855i −0.0655364 + 0.0218793i
\(407\) −0.00295116 0.00307249i −0.000146284 0.000152297i
\(408\) 0 0.000416773i 0 2.06333e-5i
\(409\) −25.0992 + 24.1081i −1.24108 + 1.19207i −0.267539 + 0.963547i \(0.586211\pi\)
−0.973538 + 0.228524i \(0.926610\pi\)
\(410\) 5.66327 + 4.62392i 0.279689 + 0.228359i
\(411\) −5.91723 + 11.2743i −0.291875 + 0.556122i
\(412\) 30.0628 4.88568i 1.48109 0.240700i
\(413\) −3.61734 + 2.28747i −0.177998 + 0.112559i
\(414\) 53.5670 25.4179i 2.63268 1.24922i
\(415\) −2.72836 + 3.95271i −0.133930 + 0.194031i
\(416\) 14.3089 + 25.0818i 0.701550 + 1.22973i
\(417\) 11.0961 + 16.0755i 0.543378 + 0.787219i
\(418\) 0.0606197 + 0.0349988i 0.00296500 + 0.00171185i
\(419\) −5.33503 11.2433i −0.260633 0.549273i 0.730379 0.683042i \(-0.239343\pi\)
−0.991013 + 0.133769i \(0.957292\pi\)
\(420\) −6.15898 2.05617i −0.300528 0.100331i
\(421\) −7.24709 + 29.4026i −0.353201 + 1.43299i 0.478655 + 0.878003i \(0.341125\pi\)
−0.831856 + 0.554991i \(0.812722\pi\)
\(422\) 28.3065 1.14071i 1.37794 0.0555291i
\(423\) −32.8509 + 1.32385i −1.59727 + 0.0643677i
\(424\) 0.00763963 0.0309952i 0.000371013 0.00150526i
\(425\) 0.0685499 + 0.0228853i 0.00332516 + 0.00111010i
\(426\) −21.8754 46.1013i −1.05986 2.23362i
\(427\) 3.67714 + 2.12300i 0.177949 + 0.102739i
\(428\) 0.646150 + 0.936110i 0.0312328 + 0.0452486i
\(429\) −0.0355775 0.0227558i −0.00171770 0.00109866i
\(430\) 20.2318 29.3108i 0.975662 1.41349i
\(431\) 6.45996 3.06529i 0.311165 0.147650i −0.266705 0.963778i \(-0.585935\pi\)
0.577871 + 0.816128i \(0.303884\pi\)
\(432\) −8.02983 + 5.07776i −0.386336 + 0.244304i
\(433\) −0.317126 + 0.0515379i −0.0152401 + 0.00247675i −0.168027 0.985782i \(-0.553739\pi\)
0.152786 + 0.988259i \(0.451175\pi\)
\(434\) −2.03101 + 3.86977i −0.0974917 + 0.185755i
\(435\) 15.2081 + 12.4170i 0.729174 + 0.595352i
\(436\) −6.75504 + 6.48830i −0.323508 + 0.310733i
\(437\) 59.4433i 2.84356i
\(438\) 39.4104 + 41.0306i 1.88310 + 1.96052i
\(439\) −20.1457 + 6.72561i −0.961500 + 0.320996i −0.753732 0.657182i \(-0.771748\pi\)
−0.207768 + 0.978178i \(0.566620\pi\)
\(440\) −2.34859e−5 0 0.000290925i −1.11965e−6 0 1.38693e-5i
\(441\) −26.1254 + 6.43934i −1.24407 + 0.306635i
\(442\) −0.0561041 0.0298161i −0.00266860 0.00141821i
\(443\) −29.2008 7.19734i −1.38737 0.341956i −0.526238 0.850337i \(-0.676398\pi\)
−0.861132 + 0.508381i \(0.830244\pi\)
\(444\) 0.809677 4.98214i 0.0384256 0.236442i
\(445\) 11.1477 + 13.6534i 0.528449 + 0.647233i
\(446\) 34.6672 26.0507i 1.64154 1.23354i
\(447\) 41.5063 46.8509i 1.96318 2.21597i
\(448\) −0.438060 2.69549i −0.0206964 0.127350i
\(449\) 0.619514 7.67406i 0.0292367 0.362161i −0.965553 0.260208i \(-0.916209\pi\)
0.994789 0.101953i \(-0.0325092\pi\)
\(450\) 15.3763 + 62.3842i 0.724847 + 2.94082i
\(451\) −0.00124560 0.00430032i −5.86532e−5 0.000202494i
\(452\) −4.28087 20.9691i −0.201355 0.986304i
\(453\) −29.9563 + 24.4585i −1.40747 + 1.14916i
\(454\) 3.28567 27.0599i 0.154204 1.26999i
\(455\) −3.21348 + 3.05486i −0.150650 + 0.143214i
\(456\) 0.0447771 + 0.368773i 0.00209688 + 0.0172694i
\(457\) 29.5485 + 28.3817i 1.38222 + 1.32764i 0.889125 + 0.457665i \(0.151314\pi\)
0.493095 + 0.869975i \(0.335865\pi\)
\(458\) −15.8310 + 16.4818i −0.739733 + 0.770143i
\(459\) 0.00900176 0.0189708i 0.000420166 0.000885481i
\(460\) 45.5400 31.4340i 2.12331 1.46562i
\(461\) −12.0278 + 19.0204i −0.560189 + 0.885868i −0.999925 0.0122588i \(-0.996098\pi\)
0.439736 + 0.898127i \(0.355072\pi\)
\(462\) 0.00476659 + 0.00634318i 0.000221762 + 0.000295112i
\(463\) −3.95645 7.53839i −0.183872 0.350339i 0.776020 0.630708i \(-0.217235\pi\)
−0.959892 + 0.280369i \(0.909543\pi\)
\(464\) −1.63691 + 8.01812i −0.0759917 + 0.372232i
\(465\) 61.4344 4.95950i 2.84895 0.229991i
\(466\) 30.8088 + 8.92389i 1.42719 + 0.413391i
\(467\) 12.9210 + 6.78146i 0.597912 + 0.313808i 0.736390 0.676557i \(-0.236529\pi\)
−0.138478 + 0.990365i \(0.544221\pi\)
\(468\) −2.13206 28.2259i −0.0985545 1.30474i
\(469\) −2.17176 + 1.13983i −0.100282 + 0.0526322i
\(470\) −59.9926 + 12.2476i −2.76725 + 0.564939i
\(471\) −9.66283 7.26115i −0.445240 0.334576i
\(472\) −0.00917813 0.227753i −0.000422458 0.0104832i
\(473\) −0.0203922 + 0.00773373i −0.000937634 + 0.000355597i
\(474\) −73.0737 + 21.1661i −3.35639 + 0.972189i
\(475\) −63.1137 12.8848i −2.89586 0.591193i
\(476\) 0.00396663 + 0.00447741i 0.000181810 + 0.000205222i
\(477\) 4.37874 5.36298i 0.200489 0.245554i
\(478\) −0.852331 + 21.1504i −0.0389847 + 0.967396i
\(479\) −3.81174 11.4176i −0.174163 0.521681i 0.824885 0.565300i \(-0.191240\pi\)
−0.999048 + 0.0436186i \(0.986111\pi\)
\(480\) −57.2685 + 50.7355i −2.61394 + 2.31575i
\(481\) −2.74469 2.08475i −0.125147 0.0950565i
\(482\) −3.04170 2.69471i −0.138546 0.122741i
\(483\) −2.64112 + 6.19895i −0.120175 + 0.282062i
\(484\) 11.0495 19.1383i 0.502249 0.869920i
\(485\) −1.18111 2.04575i −0.0536316 0.0928927i
\(486\) −42.7116 + 5.18612i −1.93744 + 0.235247i
\(487\) −30.0720 14.2693i −1.36269 0.646605i −0.399827 0.916590i \(-0.630930\pi\)
−0.962865 + 0.269985i \(0.912981\pi\)
\(488\) −0.195835 + 0.113065i −0.00886504 + 0.00511823i
\(489\) 37.7627 + 26.0657i 1.70769 + 1.17873i
\(490\) −46.1013 + 19.6419i −2.08264 + 0.887331i
\(491\) −4.80369 0.780676i −0.216788 0.0352314i 0.0510473 0.998696i \(-0.483744\pi\)
−0.267835 + 0.963465i \(0.586308\pi\)
\(492\) 3.18660 4.24060i 0.143663 0.191181i
\(493\) −0.00641377 0.0169117i −0.000288862 0.000761666i
\(494\) 52.8459 + 20.3544i 2.37765 + 0.915789i
\(495\) 0.0224471 0.0591882i 0.00100892 0.00266031i
\(496\) 13.7305 + 21.7130i 0.616517 + 0.974944i
\(497\) 3.01805 + 1.28587i 0.135378 + 0.0576792i
\(498\) 5.87716 + 3.71649i 0.263362 + 0.166540i
\(499\) −23.5615 2.86089i −1.05476 0.128071i −0.425259 0.905072i \(-0.639817\pi\)
−0.629500 + 0.777001i \(0.716740\pi\)
\(500\) 9.19258 + 21.5758i 0.411105 + 0.964898i
\(501\) −13.0070 + 38.9607i −0.581110 + 1.74064i
\(502\) 7.25106 + 2.74996i 0.323631 + 0.122737i
\(503\) −14.3146 1.15560i −0.638258 0.0515255i −0.242898 0.970052i \(-0.578098\pi\)
−0.395360 + 0.918526i \(0.629380\pi\)
\(504\) −0.00662751 + 0.0228808i −0.000295213 + 0.00101919i
\(505\) 11.9267 + 0.480630i 0.530732 + 0.0213878i
\(506\) −0.0676186 −0.00300602
\(507\) −31.2935 13.7163i −1.38979 0.609161i
\(508\) −16.4053 −0.727865
\(509\) −26.1387 1.05335i −1.15858 0.0466890i −0.546480 0.837472i \(-0.684032\pi\)
−0.612096 + 0.790783i \(0.709674\pi\)
\(510\) 0.0468353 0.161694i 0.00207390 0.00715993i
\(511\) −3.64569 0.294310i −0.161276 0.0130195i
\(512\) −29.9523 11.3594i −1.32372 0.502020i
\(513\) −5.92684 + 17.7531i −0.261676 + 0.783817i
\(514\) −2.13856 5.01939i −0.0943279 0.221396i
\(515\) 54.7029 + 6.64214i 2.41050 + 0.292688i
\(516\) −21.8395 13.8105i −0.961431 0.607972i
\(517\) 0.0344946 + 0.0146968i 0.00151707 + 0.000646364i
\(518\) 0.346092 + 0.547301i 0.0152064 + 0.0240470i
\(519\) −12.8426 + 33.8631i −0.563728 + 1.48643i
\(520\) −0.0553264 0.229561i −0.00242622 0.0100669i
\(521\) −1.15283 3.03975i −0.0505062 0.133174i 0.907389 0.420292i \(-0.138072\pi\)
−0.957895 + 0.287118i \(0.907303\pi\)
\(522\) 9.66018 12.8554i 0.422814 0.562664i
\(523\) 20.7356 + 3.36986i 0.906705 + 0.147354i 0.595843 0.803101i \(-0.296818\pi\)
0.310862 + 0.950455i \(0.399382\pi\)
\(524\) −9.43485 + 4.01982i −0.412164 + 0.175606i
\(525\) −6.00923 4.14787i −0.262264 0.181028i
\(526\) −27.1264 + 15.6614i −1.18277 + 0.682871i
\(527\) −0.0512979 0.0243412i −0.00223457 0.00106032i
\(528\) 0.0463009 0.00562195i 0.00201499 0.000244664i
\(529\) −17.2115 29.8112i −0.748327 1.29614i
\(530\) 6.44704 11.1666i 0.280042 0.485046i
\(531\) 19.3772 45.4799i 0.840897 1.97366i
\(532\) −3.99084 3.53557i −0.173025 0.153287i
\(533\) −1.53586 3.28037i −0.0665256 0.142089i
\(534\) 19.1015 16.9225i 0.826603 0.732306i
\(535\) 0.651686 + 1.95204i 0.0281749 + 0.0843940i
\(536\) 0.00525972 0.130519i 0.000227185 0.00563754i
\(537\) −0.934932 + 1.14508i −0.0403453 + 0.0494140i
\(538\) 19.7033 + 22.2404i 0.849468 + 0.958852i
\(539\) 0.0300661 + 0.00613803i 0.00129504 + 0.000264384i
\(540\) 16.7349 4.84733i 0.720156 0.208596i
\(541\) 30.1433 11.4318i 1.29596 0.491494i 0.392338 0.919821i \(-0.371666\pi\)
0.903624 + 0.428327i \(0.140897\pi\)
\(542\) −0.621860 15.4313i −0.0267112 0.662831i
\(543\) −8.88666 6.67789i −0.381363 0.286576i
\(544\) 0.0690597 0.0140986i 0.00296091 0.000604474i
\(545\) −15.0050 + 7.87524i −0.642745 + 0.337338i
\(546\) 4.60659 + 4.47063i 0.197144 + 0.191325i
\(547\) 9.51757 + 4.99521i 0.406942 + 0.213580i 0.655758 0.754971i \(-0.272349\pi\)
−0.248816 + 0.968551i \(0.580041\pi\)
\(548\) 9.34844 + 2.70781i 0.399346 + 0.115672i
\(549\) −48.8849 + 3.94639i −2.08635 + 0.168428i
\(550\) 0.0146568 0.0717939i 0.000624970 0.00306130i
\(551\) 7.49205 + 14.2749i 0.319172 + 0.608132i
\(552\) −0.215580 0.286885i −0.00917570 0.0122106i
\(553\) 2.61405 4.13380i 0.111161 0.175787i
\(554\) 33.7234 23.2776i 1.43277 0.988969i
\(555\) 3.91491 8.25050i 0.166179 0.350214i
\(556\) 10.3429 10.7681i 0.438637 0.456669i
\(557\) 6.77391 + 6.50643i 0.287020 + 0.275686i 0.822381 0.568937i \(-0.192645\pi\)
−0.535362 + 0.844623i \(0.679825\pi\)
\(558\) −6.08475 50.1125i −0.257588 2.12143i
\(559\) −15.3260 + 8.74330i −0.648219 + 0.369802i
\(560\) 0.590225 4.86094i 0.0249415 0.205412i
\(561\) −7.98505e−5 0 6.51959e-5i −3.37129e−6 0 2.75257e-6i
\(562\) 5.60930 + 27.4762i 0.236614 + 1.15901i
\(563\) 1.97341 + 6.81300i 0.0831693 + 0.287134i 0.991313 0.131525i \(-0.0419875\pi\)
−0.908144 + 0.418659i \(0.862500\pi\)
\(564\) 10.6314 + 43.1331i 0.447661 + 1.81623i
\(565\) 3.11574 38.5954i 0.131080 1.62372i
\(566\) 2.05357 + 12.6361i 0.0863179 + 0.531136i
\(567\) 1.22325 1.38077i 0.0513718 0.0579868i
\(568\) −0.139674 + 0.104958i −0.00586060 + 0.00440395i
\(569\) −0.0385486 0.0472134i −0.00161604 0.00197929i 0.773796 0.633435i \(-0.218355\pi\)
−0.775412 + 0.631455i \(0.782458\pi\)
\(570\) −24.0692 + 148.104i −1.00815 + 6.20337i
\(571\) 35.6404 + 8.78457i 1.49150 + 0.367623i 0.899001 0.437946i \(-0.144294\pi\)
0.592503 + 0.805568i \(0.298140\pi\)
\(572\) −0.0116029 + 0.0301245i −0.000485141 + 0.00125957i
\(573\) −44.7006 + 11.0177i −1.86740 + 0.460272i
\(574\) 0.0547584 + 0.678304i 0.00228557 + 0.0283119i
\(575\) 59.0239 19.7051i 2.46147 0.821759i
\(576\) 21.8507 + 22.7489i 0.910444 + 0.947873i
\(577\) 42.2317i 1.75813i 0.476702 + 0.879065i \(0.341832\pi\)
−0.476702 + 0.879065i \(0.658168\pi\)
\(578\) 24.5483 23.5790i 1.02108 0.980757i
\(579\) −19.4335 15.8670i −0.807629 0.659409i
\(580\) 6.97428 13.2884i 0.289591 0.551770i
\(581\) −0.441257 + 0.0717112i −0.0183064 + 0.00297508i
\(582\) −2.89058 + 1.82789i −0.119819 + 0.0757686i
\(583\) −0.00713351 + 0.00338489i −0.000295440 + 0.000140188i
\(584\) 0.110654 0.160310i 0.00457891 0.00663369i
\(585\) 10.5028 50.1248i 0.434238 2.07240i
\(586\) 13.7552 + 19.9279i 0.568223 + 0.823213i
\(587\) 14.6682 + 8.46869i 0.605422 + 0.349540i 0.771171 0.636627i \(-0.219671\pi\)
−0.165750 + 0.986168i \(0.553004\pi\)
\(588\) 15.5860 + 32.8467i 0.642754 + 1.35458i
\(589\) 48.0051 + 16.0264i 1.97801 + 0.660358i
\(590\) 22.0332 89.3920i 0.907091 3.68021i
\(591\) 0.534444 0.0215374i 0.0219841 0.000885928i
\(592\) 3.80336 0.153270i 0.156317 0.00629937i
\(593\) −4.77808 + 19.3854i −0.196212 + 0.796064i 0.787500 + 0.616315i \(0.211375\pi\)
−0.983712 + 0.179750i \(0.942471\pi\)
\(594\) −0.0201947 0.00674197i −0.000828597 0.000276626i
\(595\) 0.00463952 + 0.00977759i 0.000190202 + 0.000400842i
\(596\) −41.4344 23.9221i −1.69722 0.979889i
\(597\) 15.8143 + 22.9109i 0.647234 + 0.937681i
\(598\) −54.0419 + 8.49660i −2.20994 + 0.347452i
\(599\) 15.4281 22.3515i 0.630376 0.913257i −0.369497 0.929232i \(-0.620470\pi\)
0.999872 + 0.0159751i \(0.00508524\pi\)
\(600\) 0.351328 0.166707i 0.0143429 0.00680579i
\(601\) −2.51337 + 1.58936i −0.102523 + 0.0648313i −0.584743 0.811218i \(-0.698805\pi\)
0.482221 + 0.876050i \(0.339830\pi\)
\(602\) 3.27207 0.531764i 0.133360 0.0216731i
\(603\) 13.1657 25.0851i 0.536148 1.02155i
\(604\) 22.8980 + 18.6956i 0.931707 + 0.760715i
\(605\) 28.8355 27.6969i 1.17233 1.12604i
\(606\) 17.2815i 0.702014i
\(607\) 3.35587 + 3.49383i 0.136210 + 0.141810i 0.785814 0.618463i \(-0.212244\pi\)
−0.649603 + 0.760273i \(0.725065\pi\)
\(608\) −59.5913 + 19.8945i −2.41675 + 0.806828i
\(609\) 0.147048 + 1.82151i 0.00595868 + 0.0738115i
\(610\) −88.6835 + 21.8585i −3.59069 + 0.885025i
\(611\) 29.4154 + 7.41149i 1.19002 + 0.299837i
\(612\) −0.0670853 0.0165350i −0.00271176 0.000668389i
\(613\) −2.91629 + 17.9447i −0.117788 + 0.724778i 0.859225 + 0.511598i \(0.170946\pi\)
−0.977013 + 0.213180i \(0.931618\pi\)
\(614\) 7.67318 + 9.39794i 0.309664 + 0.379270i
\(615\) 7.67231 5.76537i 0.309377 0.232482i
\(616\) 1.80150e−5 0 2.03347e-5i 7.25843e−7 0 8.19308e-7i
\(617\) 0.923134 + 5.68027i 0.0371640 + 0.228679i 0.998987 0.0449919i \(-0.0143262\pi\)
−0.961823 + 0.273671i \(0.911762\pi\)
\(618\) 6.41968 79.5220i 0.258237 3.19884i
\(619\) −6.17662 25.0595i −0.248259 1.00723i −0.954251 0.299007i \(-0.903345\pi\)
0.705992 0.708220i \(-0.250502\pi\)
\(620\) −13.1074 45.2520i −0.526406 1.81736i
\(621\) −3.61650 17.7148i −0.145125 0.710870i
\(622\) −8.50734 + 6.94603i −0.341113 + 0.278510i
\(623\) −0.197755 + 1.62866i −0.00792289 + 0.0652509i
\(624\) 36.2980 10.3111i 1.45308 0.412774i
\(625\) 0.165507 + 1.36307i 0.00662029 + 0.0545230i
\(626\) 20.5601 + 19.7482i 0.821746 + 0.789297i
\(627\) 0.0636495 0.0662662i 0.00254192 0.00264642i
\(628\) −3.96071 + 8.34701i −0.158049 + 0.333082i
\(629\) −0.00692374 + 0.00477911i −0.000276068 + 0.000190556i
\(630\) −5.14251 + 8.13224i −0.204883 + 0.323996i
\(631\) −2.94551 3.91976i −0.117259 0.156043i 0.736997 0.675896i \(-0.236243\pi\)
−0.854256 + 0.519853i \(0.825987\pi\)
\(632\) 0.121051 + 0.230644i 0.00481516 + 0.00917453i
\(633\) 7.43835 36.4354i 0.295648 1.44818i
\(634\) −30.3742 + 2.45206i −1.20631 + 0.0973837i
\(635\) −28.5094 8.25784i −1.13136 0.327702i
\(636\) −8.28343 4.34748i −0.328459 0.172389i
\(637\) 24.8005 + 1.12767i 0.982633 + 0.0446798i
\(638\) −0.0162382 + 0.00852245i −0.000642875 + 0.000337407i
\(639\) −37.1267 + 7.57948i −1.46871 + 0.299840i
\(640\) 0.418851 + 0.314746i 0.0165565 + 0.0124414i
\(641\) 0.136809 + 3.39487i 0.00540361 + 0.134089i 0.999639 + 0.0268694i \(0.00855384\pi\)
−0.994235 + 0.107220i \(0.965805\pi\)
\(642\) 2.78588 1.05655i 0.109950 0.0416985i
\(643\) 21.0946 6.11011i 0.831888 0.240959i 0.165166 0.986266i \(-0.447184\pi\)
0.666722 + 0.745306i \(0.267697\pi\)
\(644\) 5.04641 + 1.03023i 0.198857 + 0.0405969i
\(645\) −31.0014 34.9934i −1.22068 1.37786i
\(646\) 0.0874224 0.107073i 0.00343959 0.00421273i
\(647\) 0.278297 6.90588i 0.0109410 0.271498i −0.984454 0.175642i \(-0.943800\pi\)
0.995395 0.0958564i \(-0.0305590\pi\)
\(648\) 0.0311105 + 0.0931874i 0.00122214 + 0.00366075i
\(649\) −0.0422000 + 0.0373859i −0.00165649 + 0.00146753i
\(650\) 2.69272 59.2205i 0.105617 2.32282i
\(651\) 4.29406 + 3.80421i 0.168297 + 0.149099i
\(652\) 13.7477 32.2671i 0.538402 1.26368i
\(653\) −20.5281 + 35.5557i −0.803325 + 1.39140i 0.114091 + 0.993470i \(0.463605\pi\)
−0.917416 + 0.397930i \(0.869729\pi\)
\(654\) 12.2673 + 21.2476i 0.479689 + 0.830846i
\(655\) −18.4195 + 2.23653i −0.719710 + 0.0873886i
\(656\) 3.61399 + 1.71486i 0.141103 + 0.0669541i
\(657\) 36.5869 21.1235i 1.42739 0.824105i
\(658\) −4.69034 3.23751i −0.182848 0.126211i
\(659\) 27.1770 11.5791i 1.05867 0.451056i 0.208748 0.977969i \(-0.433061\pi\)
0.849919 + 0.526914i \(0.176651\pi\)
\(660\) −0.0844254 0.0137205i −0.00328625 0.000534068i
\(661\) 11.6836 15.5480i 0.454439 0.604749i −0.512834 0.858488i \(-0.671404\pi\)
0.967273 + 0.253740i \(0.0816606\pi\)
\(662\) 0.933130 + 2.46046i 0.0362671 + 0.0956285i
\(663\) −0.0556256 + 0.0621392i −0.00216032 + 0.00241328i
\(664\) 0.00844262 0.0222614i 0.000327637 0.000863909i
\(665\) −5.15567 8.15304i −0.199928 0.316161i
\(666\) −6.88107 2.93175i −0.266636 0.113603i
\(667\) −13.1627 8.32357i −0.509661 0.322290i
\(668\) 31.1677 + 3.78444i 1.20591 + 0.146425i
\(669\) −22.3117 52.3674i −0.862618 2.02464i
\(670\) 16.7078 50.0458i 0.645477 1.93344i
\(671\) 0.0522971 + 0.0198337i 0.00201891 + 0.000765670i
\(672\) −7.09831 0.573035i −0.273823 0.0221053i
\(673\) −1.75696 + 6.06573i −0.0677258 + 0.233817i −0.987240 0.159241i \(-0.949095\pi\)
0.919514 + 0.393057i \(0.128583\pi\)
\(674\) 30.0115 + 1.20942i 1.15600 + 0.0465852i
\(675\) 19.5925 0.754117
\(676\) −5.48793 + 25.5339i −0.211074 + 0.982073i
\(677\) 9.79018 0.376267 0.188134 0.982143i \(-0.439756\pi\)
0.188134 + 0.982143i \(0.439756\pi\)
\(678\) −56.0148 2.25732i −2.15123 0.0866918i
\(679\) 0.0611722 0.211191i 0.00234757 0.00810477i
\(680\) −0.000574510 0 4.63792e-5i −2.20314e−5 0 1.77856e-6i
\(681\) −33.4561 12.6882i −1.28204 0.486214i
\(682\) −0.0182306 + 0.0546073i −0.000698086 + 0.00209102i
\(683\) −8.47299 19.8868i −0.324210 0.760948i −0.999722 0.0235992i \(-0.992487\pi\)
0.675512 0.737349i \(-0.263923\pi\)
\(684\) 61.1355 + 7.42319i 2.33757 + 0.283833i
\(685\) 14.8829 + 9.41137i 0.568646 + 0.359590i
\(686\) −8.65338 3.68686i −0.330387 0.140765i
\(687\) 16.0332 + 25.3544i 0.611703 + 0.967331i
\(688\) 6.90998 18.2201i 0.263440 0.694635i
\(689\) −5.27589 + 3.60162i −0.200995 + 0.137211i
\(690\) −51.3990 135.528i −1.95673 5.15946i
\(691\) −4.64316 + 6.17892i −0.176634 + 0.235057i −0.879073 0.476686i \(-0.841838\pi\)
0.702439 + 0.711744i \(0.252094\pi\)
\(692\) 27.3248 + 4.44072i 1.03873 + 0.168811i
\(693\) 0.00542054 0.00230948i 0.000205909 8.77297e-5i
\(694\) 40.1102 + 27.6861i 1.52256 + 1.05095i
\(695\) 23.3944 13.5068i 0.887400 0.512340i
\(696\) −0.0879282 0.0417225i −0.00333291 0.00158149i
\(697\) −0.00877676 + 0.00106569i −0.000332443 + 4.03659e-5i
\(698\) 34.6706 + 60.0512i 1.31230 + 2.27297i
\(699\) 21.0519 36.4630i 0.796256 1.37916i
\(700\) −2.18769 + 5.13471i −0.0826871 + 0.194074i
\(701\) −6.48544 5.74560i −0.244952 0.217008i 0.531710 0.846927i \(-0.321550\pi\)
−0.776661 + 0.629919i \(0.783088\pi\)
\(702\) −16.9871 2.85073i −0.641135 0.107594i
\(703\) 5.61287 4.97257i 0.211693 0.187544i
\(704\) −0.0113915 0.0341217i −0.000429334 0.00128601i
\(705\) −3.23634 + 80.3090i −0.121888 + 3.02461i
\(706\) −7.39011 + 9.05124i −0.278130 + 0.340648i
\(707\) 0.736741 + 0.831609i 0.0277080 + 0.0312759i
\(708\) −65.4473 13.3612i −2.45966 0.502143i
\(709\) −16.5197 + 4.78500i −0.620412 + 0.179704i −0.573515 0.819195i \(-0.694420\pi\)
−0.0468971 + 0.998900i \(0.514933\pi\)
\(710\) −65.9838 + 25.0243i −2.47633 + 0.939147i
\(711\) 2.27477 + 56.4479i 0.0853106 + 2.11696i
\(712\) −0.0698516 0.0524901i −0.00261780 0.00196715i
\(713\) −47.9016 + 9.77918i −1.79393 + 0.366233i
\(714\) 0.0138741 0.00728167i 0.000519224 0.000272510i
\(715\) −0.0353273 + 0.0465104i −0.00132117 + 0.00173939i
\(716\) 1.00054 + 0.525123i 0.0373919 + 0.0196248i
\(717\) 26.6887 + 7.73049i 0.996709 + 0.288700i
\(718\) −12.7833 + 1.03198i −0.477070 + 0.0385131i
\(719\) −4.09722 + 20.0695i −0.152800 + 0.748466i 0.829105 + 0.559093i \(0.188851\pi\)
−0.981905 + 0.189373i \(0.939355\pi\)
\(720\) 26.2844 + 50.0807i 0.979561 + 1.86640i
\(721\) 3.08124 + 4.10038i 0.114751 + 0.152706i
\(722\) −45.5177 + 71.9804i −1.69399 + 2.67883i
\(723\) −4.38997 + 3.03018i −0.163265 + 0.112694i
\(724\) −3.64256 + 7.67654i −0.135375 + 0.285296i
\(725\) 11.6906 12.1712i 0.434179 0.452029i
\(726\) −41.7481 40.0996i −1.54942 1.48824i
\(727\) 5.49637 + 45.2667i 0.203849 + 1.67885i 0.631865 + 0.775078i \(0.282290\pi\)
−0.428016 + 0.903771i \(0.640787\pi\)
\(728\) 0.0118427 0.0185155i 0.000438919 0.000686229i
\(729\) −4.83593 + 39.8274i −0.179108 + 1.47509i
\(730\) 60.9453 49.7603i 2.25569 1.84171i
\(731\) 0.00861483 + 0.0421983i 0.000318631 + 0.00156076i
\(732\) 18.4368 + 63.6514i 0.681445 + 2.35262i
\(733\) −6.61583 26.8415i −0.244361 0.991413i −0.957048 0.289930i \(-0.906368\pi\)
0.712686 0.701483i \(-0.247478\pi\)
\(734\) 0.948428 11.7484i 0.0350071 0.433641i
\(735\) 10.5517 + 64.9271i 0.389204 + 2.39487i
\(736\) 40.2445 45.4266i 1.48343 1.67445i
\(737\) −0.0258291 + 0.0194093i −0.000951429 + 0.000714952i
\(738\) −4.97122 6.08865i −0.182993 0.224126i
\(739\) −0.415120 + 2.55434i −0.0152704 + 0.0939628i −0.993567 0.113248i \(-0.963875\pi\)
0.978296 + 0.207211i \(0.0664386\pi\)
\(740\) −6.77765 1.67054i −0.249151 0.0614103i
\(741\) 42.5430 60.9588i 1.56286 2.23938i
\(742\) 1.16528 0.287217i 0.0427789 0.0105441i
\(743\) −1.52665 18.9109i −0.0560073 0.693775i −0.962452 0.271451i \(-0.912497\pi\)
0.906445 0.422324i \(-0.138786\pi\)
\(744\) −0.289804 + 0.0967509i −0.0106247 + 0.00354706i
\(745\) −59.9639 62.4290i −2.19691 2.28722i
\(746\) 52.4849i 1.92161i
\(747\) 3.72404 3.57699i 0.136256 0.130875i
\(748\) 6.10362e−5 0 4.98345e-5i 2.23170e−6 0 1.82213e-6i
\(749\) −0.0890178 + 0.169609i −0.00325264 + 0.00619739i
\(750\) 60.6367 9.85443i 2.21414 0.359833i
\(751\) 5.05284 3.19522i 0.184381 0.116595i −0.439086 0.898445i \(-0.644698\pi\)
0.623467 + 0.781849i \(0.285723\pi\)
\(752\) −30.2667 + 14.3617i −1.10371 + 0.523718i
\(753\) 5.78272 8.37771i 0.210734 0.305301i
\(754\) −11.9069 + 8.85168i −0.433624 + 0.322359i
\(755\) 30.3819 + 44.0157i 1.10571 + 1.60190i
\(756\) 1.40442 + 0.810841i 0.0510782 + 0.0294900i
\(757\) 8.96995 + 18.9038i 0.326018 + 0.687069i 0.998597 0.0529567i \(-0.0168645\pi\)
−0.672578 + 0.740026i \(0.734813\pi\)
\(758\) 11.3092 + 3.77555i 0.410767 + 0.137134i
\(759\) −0.0212417 + 0.0861810i −0.000771025 + 0.00312817i
\(760\) 0.513326 0.0206863i 0.0186203 0.000750372i
\(761\) −20.3971 + 0.821974i −0.739394 + 0.0297965i −0.407105 0.913381i \(-0.633462\pi\)
−0.332288 + 0.943178i \(0.607821\pi\)
\(762\) −10.2840 + 41.7238i −0.372550 + 1.51150i
\(763\) −1.49614 0.499484i −0.0541638 0.0180825i
\(764\) 15.0861 + 31.7932i 0.545795 + 1.15024i
\(765\) −0.108259 0.0625033i −0.00391411