Properties

Label 169.2.k.a.4.14
Level $169$
Weight $2$
Character 169.4
Analytic conductor $1.349$
Analytic rank $0$
Dimension $360$
Inner twists $2$

Related objects

Downloads

Learn more

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 4.14
Character \(\chi\) \(=\) 169.4
Dual form 169.2.k.a.127.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.99581 + 0.0804286i) q^{2} +(-0.751408 + 2.59416i) q^{3} +(1.98329 + 0.160108i) q^{4} +(1.41011 + 0.534785i) q^{5} +(-1.70832 + 5.11703i) q^{6} +(-1.63799 - 3.84451i) q^{7} +(-0.0203394 - 0.00246965i) q^{8} +(-3.62949 - 2.29515i) q^{9} +O(q^{10})\) \(q+(1.99581 + 0.0804286i) q^{2} +(-0.751408 + 2.59416i) q^{3} +(1.98329 + 0.160108i) q^{4} +(1.41011 + 0.534785i) q^{5} +(-1.70832 + 5.11703i) q^{6} +(-1.63799 - 3.84451i) q^{7} +(-0.0203394 - 0.00246965i) q^{8} +(-3.62949 - 2.29515i) q^{9} +(2.77131 + 1.18074i) q^{10} +(3.00913 + 4.75856i) q^{11} +(-1.90561 + 5.02467i) q^{12} +(-0.967139 - 3.47342i) q^{13} +(-2.95992 - 7.80467i) q^{14} +(-2.44689 + 3.25621i) q^{15} +(-3.96835 - 0.644919i) q^{16} +(6.45100 - 2.74851i) q^{17} +(-7.05919 - 4.87261i) q^{18} +(-1.84691 + 1.06631i) q^{19} +(2.71104 + 1.28640i) q^{20} +(11.2041 - 1.36042i) q^{21} +(5.62295 + 9.73923i) q^{22} +(0.789020 - 1.36662i) q^{23} +(0.0216898 - 0.0509079i) q^{24} +(-2.04014 - 1.80740i) q^{25} +(-1.65087 - 7.01008i) q^{26} +(2.61650 - 2.31802i) q^{27} +(-2.63308 - 7.88704i) q^{28} +(-0.179760 + 4.46070i) q^{29} +(-5.14542 + 6.30200i) q^{30} +(-2.69431 - 3.04125i) q^{31} +(-7.82806 - 1.59811i) q^{32} +(-14.6056 + 4.23056i) q^{33} +(13.0961 - 4.96668i) q^{34} +(-0.253767 - 6.29716i) q^{35} +(-6.83086 - 5.13306i) q^{36} +(3.77702 - 0.771085i) q^{37} +(-3.77184 + 1.97962i) q^{38} +(9.73733 + 0.101040i) q^{39} +(-0.0273601 - 0.0143597i) q^{40} +(-4.49274 - 1.30134i) q^{41} +(22.4707 - 1.81402i) q^{42} +(-0.625951 + 3.06611i) q^{43} +(5.20610 + 9.91940i) q^{44} +(-3.89057 - 5.17741i) q^{45} +(1.68465 - 2.66406i) q^{46} +(-6.46667 + 4.46362i) q^{47} +(4.65487 - 9.80994i) q^{48} +(-7.24819 + 7.54616i) q^{49} +(-3.92636 - 3.77132i) q^{50} +(2.28276 + 18.8002i) q^{51} +(-1.36200 - 7.04365i) q^{52} +(-0.932805 + 7.68234i) q^{53} +(5.40848 - 4.41589i) q^{54} +(1.69841 + 8.31934i) q^{55} +(0.0238212 + 0.0822403i) q^{56} +(-1.37840 - 5.59241i) q^{57} +(-0.717536 + 8.88828i) q^{58} +(-0.475472 - 2.92570i) q^{59} +(-5.37423 + 6.06625i) q^{60} +(2.12835 - 1.59935i) q^{61} +(-5.13275 - 6.28647i) q^{62} +(-2.87865 + 17.7131i) q^{63} +(-7.68766 - 1.89484i) q^{64} +(0.493758 - 5.41512i) q^{65} +(-29.4903 + 7.26870i) q^{66} +(0.307874 + 3.81370i) q^{67} +(13.2343 - 4.41825i) q^{68} +(2.95236 + 3.07374i) q^{69} -12.5884i q^{70} +(-0.130995 + 0.125823i) q^{71} +(0.0681534 + 0.0556455i) q^{72} +(3.18128 - 6.06142i) q^{73} +(7.60025 - 1.23516i) q^{74} +(6.22167 - 3.93434i) q^{75} +(-3.83367 + 1.81910i) q^{76} +(13.3654 - 19.3631i) q^{77} +(19.4258 + 0.984817i) q^{78} +(5.93723 + 8.60156i) q^{79} +(-5.25092 - 3.03162i) q^{80} +(-1.47554 - 3.10963i) q^{81} +(-8.86200 - 2.95857i) q^{82} +(-1.37302 + 5.57058i) q^{83} +(22.4388 - 0.904252i) q^{84} +(10.5665 - 0.425815i) q^{85} +(-1.49588 + 6.06904i) q^{86} +(-11.4367 - 3.81814i) q^{87} +(-0.0494519 - 0.104218i) q^{88} +(-6.07451 - 3.50712i) q^{89} +(-7.34845 - 10.6461i) q^{90} +(-11.7694 + 9.40762i) q^{91} +(1.78366 - 2.58408i) q^{92} +(9.91403 - 4.70427i) q^{93} +(-13.2653 + 8.38844i) q^{94} +(-3.17459 + 0.515921i) q^{95} +(10.0278 - 19.1064i) q^{96} +(-7.22423 - 5.89840i) q^{97} +(-15.0730 + 14.4778i) q^{98} -24.1776i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.99581 + 0.0804286i 1.41125 + 0.0568716i 0.734136 0.679003i \(-0.237588\pi\)
0.677118 + 0.735874i \(0.263229\pi\)
\(3\) −0.751408 + 2.59416i −0.433826 + 1.49774i 0.384576 + 0.923093i \(0.374348\pi\)
−0.818402 + 0.574647i \(0.805139\pi\)
\(4\) 1.98329 + 0.160108i 0.991645 + 0.0800539i
\(5\) 1.41011 + 0.534785i 0.630621 + 0.239163i 0.649144 0.760666i \(-0.275127\pi\)
−0.0185232 + 0.999828i \(0.505896\pi\)
\(6\) −1.70832 + 5.11703i −0.697417 + 2.08902i
\(7\) −1.63799 3.84451i −0.619103 1.45309i −0.873905 0.486096i \(-0.838421\pi\)
0.254802 0.966993i \(-0.417990\pi\)
\(8\) −0.0203394 0.00246965i −0.00719106 0.000873153i
\(9\) −3.62949 2.29515i −1.20983 0.765050i
\(10\) 2.77131 + 1.18074i 0.876364 + 0.373384i
\(11\) 3.00913 + 4.75856i 0.907288 + 1.43476i 0.900535 + 0.434784i \(0.143175\pi\)
0.00675289 + 0.999977i \(0.497850\pi\)
\(12\) −1.90561 + 5.02467i −0.550101 + 1.45050i
\(13\) −0.967139 3.47342i −0.268236 0.963353i
\(14\) −2.95992 7.80467i −0.791073 2.08589i
\(15\) −2.44689 + 3.25621i −0.631783 + 0.840751i
\(16\) −3.96835 0.644919i −0.992087 0.161230i
\(17\) 6.45100 2.74851i 1.56460 0.666613i 0.576035 0.817425i \(-0.304599\pi\)
0.988562 + 0.150812i \(0.0481889\pi\)
\(18\) −7.05919 4.87261i −1.66387 1.14849i
\(19\) −1.84691 + 1.06631i −0.423709 + 0.244629i −0.696663 0.717399i \(-0.745333\pi\)
0.272954 + 0.962027i \(0.411999\pi\)
\(20\) 2.71104 + 1.28640i 0.606206 + 0.287648i
\(21\) 11.2041 1.36042i 2.44493 0.296869i
\(22\) 5.62295 + 9.73923i 1.19882 + 2.07641i
\(23\) 0.789020 1.36662i 0.164522 0.284960i −0.771963 0.635667i \(-0.780725\pi\)
0.936485 + 0.350707i \(0.114059\pi\)
\(24\) 0.0216898 0.0509079i 0.00442742 0.0103915i
\(25\) −2.04014 1.80740i −0.408027 0.361480i
\(26\) −1.65087 7.01008i −0.323762 1.37479i
\(27\) 2.61650 2.31802i 0.503546 0.446103i
\(28\) −2.63308 7.88704i −0.497606 1.49051i
\(29\) −0.179760 + 4.46070i −0.0333806 + 0.828332i 0.892620 + 0.450810i \(0.148865\pi\)
−0.926001 + 0.377522i \(0.876776\pi\)
\(30\) −5.14542 + 6.30200i −0.939421 + 1.15058i
\(31\) −2.69431 3.04125i −0.483913 0.546225i 0.454949 0.890517i \(-0.349657\pi\)
−0.938863 + 0.344292i \(0.888119\pi\)
\(32\) −7.82806 1.59811i −1.38382 0.282509i
\(33\) −14.6056 + 4.23056i −2.54250 + 0.736445i
\(34\) 13.0961 4.96668i 2.24596 0.851778i
\(35\) −0.253767 6.29716i −0.0428945 1.06441i
\(36\) −6.83086 5.13306i −1.13848 0.855510i
\(37\) 3.77702 0.771085i 0.620939 0.126766i 0.120751 0.992683i \(-0.461470\pi\)
0.500187 + 0.865917i \(0.333265\pi\)
\(38\) −3.77184 + 1.97962i −0.611873 + 0.321136i
\(39\) 9.73733 + 0.101040i 1.55922 + 0.0161794i
\(40\) −0.0273601 0.0143597i −0.00432601 0.00227046i
\(41\) −4.49274 1.30134i −0.701648 0.203235i −0.0918280 0.995775i \(-0.529271\pi\)
−0.609820 + 0.792540i \(0.708758\pi\)
\(42\) 22.4707 1.81402i 3.46730 0.279910i
\(43\) −0.625951 + 3.06611i −0.0954566 + 0.467577i 0.903761 + 0.428037i \(0.140795\pi\)
−0.999218 + 0.0395406i \(0.987411\pi\)
\(44\) 5.20610 + 9.91940i 0.784849 + 1.49541i
\(45\) −3.89057 5.17741i −0.579972 0.771803i
\(46\) 1.68465 2.66406i 0.248388 0.392795i
\(47\) −6.46667 + 4.46362i −0.943260 + 0.651085i −0.937161 0.348896i \(-0.886557\pi\)
−0.00609861 + 0.999981i \(0.501941\pi\)
\(48\) 4.65487 9.80994i 0.671873 1.41594i
\(49\) −7.24819 + 7.54616i −1.03546 + 1.07802i
\(50\) −3.92636 3.77132i −0.555272 0.533346i
\(51\) 2.28276 + 18.8002i 0.319650 + 2.63255i
\(52\) −1.36200 7.04365i −0.188875 0.976778i
\(53\) −0.932805 + 7.68234i −0.128131 + 1.05525i 0.776817 + 0.629727i \(0.216833\pi\)
−0.904947 + 0.425524i \(0.860090\pi\)
\(54\) 5.40848 4.41589i 0.736002 0.600927i
\(55\) 1.69841 + 8.31934i 0.229013 + 1.12178i
\(56\) 0.0238212 + 0.0822403i 0.00318324 + 0.0109898i
\(57\) −1.37840 5.59241i −0.182574 0.740732i
\(58\) −0.717536 + 8.88828i −0.0942171 + 1.16709i
\(59\) −0.475472 2.92570i −0.0619012 0.380893i −0.999454 0.0330497i \(-0.989478\pi\)
0.937552 0.347844i \(-0.113086\pi\)
\(60\) −5.37423 + 6.06625i −0.693810 + 0.783150i
\(61\) 2.12835 1.59935i 0.272507 0.204776i −0.455699 0.890134i \(-0.650611\pi\)
0.728206 + 0.685358i \(0.240354\pi\)
\(62\) −5.13275 6.28647i −0.651860 0.798383i
\(63\) −2.87865 + 17.7131i −0.362676 + 2.23164i
\(64\) −7.68766 1.89484i −0.960957 0.236855i
\(65\) 0.493758 5.41512i 0.0612431 0.671663i
\(66\) −29.4903 + 7.26870i −3.63000 + 0.894715i
\(67\) 0.307874 + 3.81370i 0.0376128 + 0.465918i 0.987958 + 0.154721i \(0.0494478\pi\)
−0.950345 + 0.311197i \(0.899270\pi\)
\(68\) 13.2343 4.41825i 1.60489 0.535791i
\(69\) 2.95236 + 3.07374i 0.355423 + 0.370034i
\(70\) 12.5884i 1.50460i
\(71\) −0.130995 + 0.125823i −0.0155463 + 0.0149324i −0.700457 0.713694i \(-0.747021\pi\)
0.684911 + 0.728627i \(0.259841\pi\)
\(72\) 0.0681534 + 0.0556455i 0.00803196 + 0.00655789i
\(73\) 3.18128 6.06142i 0.372340 0.709435i −0.625130 0.780521i \(-0.714954\pi\)
0.997470 + 0.0710856i \(0.0226463\pi\)
\(74\) 7.60025 1.23516i 0.883511 0.143585i
\(75\) 6.22167 3.93434i 0.718416 0.454299i
\(76\) −3.83367 + 1.81910i −0.439753 + 0.208665i
\(77\) 13.3654 19.3631i 1.52313 2.20664i
\(78\) 19.4258 + 0.984817i 2.19954 + 0.111509i
\(79\) 5.93723 + 8.60156i 0.667990 + 0.967751i 0.999703 + 0.0243703i \(0.00775807\pi\)
−0.331713 + 0.943380i \(0.607627\pi\)
\(80\) −5.25092 3.03162i −0.587070 0.338945i
\(81\) −1.47554 3.10963i −0.163949 0.345514i
\(82\) −8.86200 2.95857i −0.978645 0.326720i
\(83\) −1.37302 + 5.57058i −0.150709 + 0.611451i 0.846199 + 0.532868i \(0.178886\pi\)
−0.996908 + 0.0785829i \(0.974960\pi\)
\(84\) 22.4388 0.904252i 2.44827 0.0986620i
\(85\) 10.5665 0.425815i 1.14610 0.0461861i
\(86\) −1.49588 + 6.06904i −0.161305 + 0.654441i
\(87\) −11.4367 3.81814i −1.22614 0.409347i
\(88\) −0.0494519 0.104218i −0.00527160 0.0111097i
\(89\) −6.07451 3.50712i −0.643897 0.371754i 0.142217 0.989835i \(-0.454577\pi\)
−0.786114 + 0.618081i \(0.787910\pi\)
\(90\) −7.34845 10.6461i −0.774595 1.12219i
\(91\) −11.7694 + 9.40762i −1.23377 + 0.986186i
\(92\) 1.78366 2.58408i 0.185960 0.269409i
\(93\) 9.91403 4.70427i 1.02804 0.487810i
\(94\) −13.2653 + 8.38844i −1.36821 + 0.865202i
\(95\) −3.17459 + 0.515921i −0.325706 + 0.0529324i
\(96\) 10.0278 19.1064i 1.02346 1.95004i
\(97\) −7.22423 5.89840i −0.733510 0.598892i 0.190308 0.981724i \(-0.439051\pi\)
−0.923818 + 0.382832i \(0.874949\pi\)
\(98\) −15.0730 + 14.4778i −1.52260 + 1.46248i
\(99\) 24.1776i 2.42994i
\(100\) −3.75680 3.91124i −0.375680 0.391124i
\(101\) 7.16845 2.39318i 0.713287 0.238130i 0.0632120 0.998000i \(-0.479866\pi\)
0.650075 + 0.759870i \(0.274737\pi\)
\(102\) 3.04389 + 37.7053i 0.301390 + 3.73338i
\(103\) 9.68310 2.38667i 0.954105 0.235166i 0.268615 0.963248i \(-0.413434\pi\)
0.685490 + 0.728082i \(0.259588\pi\)
\(104\) 0.0110929 + 0.0730357i 0.00108775 + 0.00716174i
\(105\) 16.5265 + 4.07343i 1.61283 + 0.397526i
\(106\) −2.47958 + 15.2575i −0.240838 + 1.48194i
\(107\) 3.24006 + 3.96836i 0.313229 + 0.383635i 0.907093 0.420930i \(-0.138296\pi\)
−0.593865 + 0.804565i \(0.702399\pi\)
\(108\) 5.56041 4.17838i 0.535051 0.402065i
\(109\) 1.10737 1.24996i 0.106067 0.119725i −0.693080 0.720861i \(-0.743747\pi\)
0.799147 + 0.601136i \(0.205285\pi\)
\(110\) 2.72059 + 16.7405i 0.259398 + 1.59614i
\(111\) −0.837767 + 10.3776i −0.0795173 + 0.984999i
\(112\) 4.02073 + 16.3127i 0.379923 + 1.54141i
\(113\) 2.35579 + 8.13314i 0.221614 + 0.765101i 0.991858 + 0.127351i \(0.0406475\pi\)
−0.770243 + 0.637750i \(0.779865\pi\)
\(114\) −2.30125 11.2723i −0.215532 1.05574i
\(115\) 1.84345 1.50513i 0.171903 0.140354i
\(116\) −1.07071 + 8.81809i −0.0994129 + 0.818739i
\(117\) −4.46180 + 14.8265i −0.412493 + 1.37071i
\(118\) −0.713644 5.87739i −0.0656963 0.541058i
\(119\) −21.1334 20.2989i −1.93730 1.86080i
\(120\) 0.0578099 0.0601865i 0.00527730 0.00549425i
\(121\) −8.87343 + 18.7003i −0.806675 + 1.70003i
\(122\) 4.37642 3.02083i 0.396223 0.273493i
\(123\) 6.75176 10.6771i 0.608786 0.962718i
\(124\) −4.85668 6.46307i −0.436143 0.580401i
\(125\) −5.41452 10.3165i −0.484290 0.922737i
\(126\) −7.16989 + 35.1205i −0.638745 + 3.12878i
\(127\) 12.6305 1.01964i 1.12078 0.0904786i 0.493844 0.869550i \(-0.335591\pi\)
0.626935 + 0.779072i \(0.284309\pi\)
\(128\) 0.157437 + 0.0456021i 0.0139156 + 0.00403069i
\(129\) −7.48364 3.92772i −0.658898 0.345816i
\(130\) 1.42098 10.7679i 0.124628 0.944403i
\(131\) −2.41869 + 1.26943i −0.211322 + 0.110911i −0.567064 0.823674i \(-0.691921\pi\)
0.355741 + 0.934584i \(0.384228\pi\)
\(132\) −29.6444 + 6.05195i −2.58022 + 0.526755i
\(133\) 7.12467 + 5.35384i 0.617787 + 0.464237i
\(134\) 0.307728 + 7.63620i 0.0265837 + 0.659667i
\(135\) 4.92920 1.86940i 0.424238 0.160892i
\(136\) −0.137997 + 0.0399714i −0.0118332 + 0.00342752i
\(137\) 8.80398 + 1.79735i 0.752175 + 0.153558i 0.560791 0.827958i \(-0.310497\pi\)
0.191384 + 0.981515i \(0.438702\pi\)
\(138\) 5.64515 + 6.37206i 0.480547 + 0.542426i
\(139\) −5.46241 + 6.69024i −0.463316 + 0.567459i −0.952429 0.304762i \(-0.901423\pi\)
0.489113 + 0.872220i \(0.337321\pi\)
\(140\) 0.504931 12.5297i 0.0426745 1.05896i
\(141\) −6.72024 20.1296i −0.565946 1.69522i
\(142\) −0.271562 + 0.240583i −0.0227890 + 0.0201893i
\(143\) 13.6182 15.0542i 1.13881 1.25889i
\(144\) 12.9229 + 11.4487i 1.07691 + 0.954057i
\(145\) −2.63900 + 6.19395i −0.219157 + 0.514380i
\(146\) 6.83675 11.8416i 0.565813 0.980017i
\(147\) −14.1296 24.4732i −1.16539 2.01852i
\(148\) 7.61439 0.924554i 0.625899 0.0759979i
\(149\) 16.1993 + 7.68667i 1.32710 + 0.629717i 0.954482 0.298268i \(-0.0964089\pi\)
0.372618 + 0.927985i \(0.378460\pi\)
\(150\) 12.7337 7.35182i 1.03970 0.600274i
\(151\) 1.80201 + 1.24384i 0.146645 + 0.101222i 0.639128 0.769100i \(-0.279295\pi\)
−0.492483 + 0.870322i \(0.663911\pi\)
\(152\) 0.0401983 0.0171269i 0.00326052 0.00138918i
\(153\) −29.7221 4.83031i −2.40289 0.390508i
\(154\) 28.2322 37.5703i 2.27502 3.02750i
\(155\) −2.17287 5.72938i −0.174529 0.460195i
\(156\) 19.2958 + 1.75941i 1.54490 + 0.140866i
\(157\) 4.27634 11.2758i 0.341289 0.899906i −0.648988 0.760799i \(-0.724807\pi\)
0.990277 0.139107i \(-0.0444234\pi\)
\(158\) 11.1578 + 17.6446i 0.887666 + 1.40373i
\(159\) −19.2283 8.19242i −1.52490 0.649701i
\(160\) −10.1838 6.43984i −0.805099 0.509114i
\(161\) −6.54641 0.794878i −0.515929 0.0626451i
\(162\) −2.69479 6.32491i −0.211723 0.496932i
\(163\) −2.19300 + 6.56885i −0.171769 + 0.514512i −0.998869 0.0475431i \(-0.984861\pi\)
0.827100 + 0.562055i \(0.189989\pi\)
\(164\) −8.70205 3.30025i −0.679516 0.257706i
\(165\) −22.8579 1.84528i −1.77949 0.143655i
\(166\) −3.18834 + 11.0074i −0.247463 + 0.854341i
\(167\) 9.37859 + 0.377944i 0.725737 + 0.0292462i 0.400385 0.916347i \(-0.368876\pi\)
0.325352 + 0.945593i \(0.394517\pi\)
\(168\) −0.231244 −0.0178409
\(169\) −11.1293 + 6.71856i −0.856099 + 0.516812i
\(170\) 21.1230 1.62006
\(171\) 9.15067 + 0.368759i 0.699769 + 0.0281997i
\(172\) −1.73235 + 5.98076i −0.132090 + 0.456029i
\(173\) −0.252651 0.0203961i −0.0192087 0.00155069i 0.0708585 0.997486i \(-0.477426\pi\)
−0.0900672 + 0.995936i \(0.528708\pi\)
\(174\) −22.5185 8.54013i −1.70712 0.647425i
\(175\) −3.60685 + 10.8038i −0.272652 + 0.816694i
\(176\) −8.87240 20.8243i −0.668782 1.56969i
\(177\) 7.94701 + 0.964941i 0.597334 + 0.0725294i
\(178\) −11.8415 7.48813i −0.887560 0.561259i
\(179\) −11.8180 5.03517i −0.883317 0.376346i −0.0978144 0.995205i \(-0.531185\pi\)
−0.785502 + 0.618859i \(0.787595\pi\)
\(180\) −6.88719 10.8912i −0.513341 0.811784i
\(181\) −6.15382 + 16.2263i −0.457410 + 1.20609i 0.485852 + 0.874041i \(0.338509\pi\)
−0.943262 + 0.332050i \(0.892260\pi\)
\(182\) −24.2463 + 17.8293i −1.79725 + 1.32159i
\(183\) 2.54972 + 6.72305i 0.188480 + 0.496982i
\(184\) −0.0194233 + 0.0258477i −0.00143190 + 0.00190551i
\(185\) 5.73838 + 0.932578i 0.421894 + 0.0685645i
\(186\) 20.1649 8.59147i 1.47856 0.629957i
\(187\) 32.4909 + 22.4269i 2.37597 + 1.64001i
\(188\) −13.5399 + 7.81728i −0.987501 + 0.570134i
\(189\) −13.1975 6.26227i −0.959974 0.455513i
\(190\) −6.37738 + 0.774354i −0.462664 + 0.0561776i
\(191\) −8.94862 15.4995i −0.647500 1.12150i −0.983718 0.179718i \(-0.942481\pi\)
0.336219 0.941784i \(-0.390852\pi\)
\(192\) 10.6921 18.5192i 0.771634 1.33651i
\(193\) 7.49253 17.5856i 0.539324 1.26584i −0.398001 0.917385i \(-0.630296\pi\)
0.937325 0.348455i \(-0.113294\pi\)
\(194\) −13.9438 12.3532i −1.00111 0.886905i
\(195\) 13.6767 + 5.34985i 0.979407 + 0.383111i
\(196\) −15.5835 + 13.8057i −1.11310 + 0.986124i
\(197\) −7.59567 22.7518i −0.541169 1.62100i −0.763344 0.645992i \(-0.776444\pi\)
0.222176 0.975007i \(-0.428684\pi\)
\(198\) 1.94457 48.2539i 0.138194 3.42926i
\(199\) 8.96125 10.9755i 0.635246 0.778035i −0.352211 0.935920i \(-0.614570\pi\)
0.987457 + 0.157885i \(0.0504676\pi\)
\(200\) 0.0370315 + 0.0417999i 0.00261852 + 0.00295570i
\(201\) −10.1247 2.06697i −0.714141 0.145793i
\(202\) 14.4994 4.19979i 1.02017 0.295496i
\(203\) 17.4437 6.61552i 1.22431 0.464318i
\(204\) 1.51731 + 37.6517i 0.106233 + 2.63615i
\(205\) −5.63932 4.23768i −0.393867 0.295972i
\(206\) 19.5176 3.98455i 1.35986 0.277617i
\(207\) −6.00034 + 3.14922i −0.417053 + 0.218886i
\(208\) 1.59787 + 14.4075i 0.110792 + 0.998978i
\(209\) −10.6317 5.57994i −0.735410 0.385973i
\(210\) 32.6563 + 9.45901i 2.25350 + 0.652734i
\(211\) −25.5484 + 2.06248i −1.75882 + 0.141987i −0.917290 0.398220i \(-0.869628\pi\)
−0.841532 + 0.540207i \(0.818346\pi\)
\(212\) −3.08002 + 15.0870i −0.211537 + 1.03618i
\(213\) −0.227973 0.434367i −0.0156205 0.0297623i
\(214\) 6.14739 + 8.18069i 0.420227 + 0.559221i
\(215\) −2.52237 + 3.98880i −0.172024 + 0.272034i
\(216\) −0.0589427 + 0.0406852i −0.00401054 + 0.00276828i
\(217\) −7.27886 + 15.3399i −0.494121 + 1.04134i
\(218\) 2.31064 2.40563i 0.156496 0.162930i
\(219\) 13.3339 + 12.8073i 0.901019 + 0.865440i
\(220\) 2.03644 + 16.7716i 0.137297 + 1.13074i
\(221\) −15.7858 19.7488i −1.06187 1.32845i
\(222\) −2.50668 + 20.6444i −0.168238 + 1.38556i
\(223\) 13.0486 10.6539i 0.873800 0.713435i −0.0853450 0.996351i \(-0.527199\pi\)
0.959145 + 0.282916i \(0.0913018\pi\)
\(224\) 6.67836 + 32.7128i 0.446217 + 2.18571i
\(225\) 3.25639 + 11.2424i 0.217093 + 0.749491i
\(226\) 4.04759 + 16.4217i 0.269241 + 1.09236i
\(227\) 0.337296 4.17817i 0.0223871 0.277315i −0.975872 0.218342i \(-0.929935\pi\)
0.998260 0.0589731i \(-0.0187826\pi\)
\(228\) −1.83839 11.3121i −0.121750 0.749159i
\(229\) 2.42838 2.74108i 0.160472 0.181135i −0.662775 0.748818i \(-0.730622\pi\)
0.823247 + 0.567683i \(0.192160\pi\)
\(230\) 3.80025 2.85570i 0.250581 0.188299i
\(231\) 40.1883 + 49.2217i 2.64419 + 3.23855i
\(232\) 0.0146726 0.0902840i 0.000963302 0.00592744i
\(233\) 11.5935 + 2.85754i 0.759515 + 0.187204i 0.600009 0.799993i \(-0.295164\pi\)
0.159506 + 0.987197i \(0.449010\pi\)
\(234\) −10.0974 + 29.2320i −0.660087 + 1.91096i
\(235\) −11.5058 + 2.83592i −0.750555 + 0.184995i
\(236\) −0.474573 5.87864i −0.0308920 0.382667i
\(237\) −26.7751 + 8.93884i −1.73923 + 0.580640i
\(238\) −40.5457 42.2126i −2.62819 2.73623i
\(239\) 15.5704i 1.00717i −0.863946 0.503584i \(-0.832015\pi\)
0.863946 0.503584i \(-0.167985\pi\)
\(240\) 11.8101 11.3437i 0.762338 0.732236i
\(241\) 5.78675 + 4.72473i 0.372757 + 0.304347i 0.800244 0.599675i \(-0.204703\pi\)
−0.427487 + 0.904022i \(0.640601\pi\)
\(242\) −19.2137 + 36.6087i −1.23511 + 2.35330i
\(243\) 19.5266 3.17339i 1.25263 0.203573i
\(244\) 4.47720 2.83121i 0.286624 0.181250i
\(245\) −14.2563 + 6.76471i −0.910803 + 0.432181i
\(246\) 14.3340 20.7664i 0.913902 1.32402i
\(247\) 5.48996 + 5.38381i 0.349318 + 0.342563i
\(248\) 0.0472899 + 0.0685112i 0.00300291 + 0.00435047i
\(249\) −13.4193 7.74763i −0.850413 0.490986i
\(250\) −9.97664 21.0253i −0.630978 1.32976i
\(251\) 0.653774 + 0.218262i 0.0412658 + 0.0137766i 0.337226 0.941424i \(-0.390511\pi\)
−0.295960 + 0.955200i \(0.595640\pi\)
\(252\) −8.54521 + 34.6693i −0.538297 + 2.18396i
\(253\) 8.87742 0.357748i 0.558119 0.0224914i
\(254\) 25.2902 1.01916i 1.58685 0.0639478i
\(255\) −6.83511 + 27.7311i −0.428031 + 1.73659i
\(256\) 15.3311 + 5.11826i 0.958191 + 0.319891i
\(257\) 5.15529 + 10.8645i 0.321578 + 0.677712i 0.998285 0.0585410i \(-0.0186448\pi\)
−0.676707 + 0.736253i \(0.736594\pi\)
\(258\) −14.6200 8.44089i −0.910204 0.525507i
\(259\) −9.15118 13.2578i −0.568627 0.823798i
\(260\) 1.84627 10.6607i 0.114501 0.661148i
\(261\) 10.8904 15.7775i 0.674101 0.976603i
\(262\) −4.92936 + 2.33901i −0.304537 + 0.144505i
\(263\) −4.78435 + 3.02544i −0.295016 + 0.186557i −0.673771 0.738940i \(-0.735327\pi\)
0.378755 + 0.925497i \(0.376352\pi\)
\(264\) 0.307516 0.0499763i 0.0189263 0.00307583i
\(265\) −5.42375 + 10.3341i −0.333179 + 0.634819i
\(266\) 13.7889 + 11.2583i 0.845452 + 0.690290i
\(267\) 13.6625 13.1230i 0.836130 0.803114i
\(268\) 7.61297i 0.465036i
\(269\) 21.9131 + 22.8139i 1.33606 + 1.39099i 0.858871 + 0.512191i \(0.171166\pi\)
0.477193 + 0.878799i \(0.341654\pi\)
\(270\) 9.98811 3.33452i 0.607857 0.202933i
\(271\) 0.959838 + 11.8897i 0.0583060 + 0.722249i 0.958192 + 0.286125i \(0.0923672\pi\)
−0.899886 + 0.436125i \(0.856351\pi\)
\(272\) −27.3724 + 6.74669i −1.65969 + 0.409078i
\(273\) −15.5612 37.6008i −0.941809 2.27570i
\(274\) 17.4266 + 4.29526i 1.05278 + 0.259486i
\(275\) 2.46160 15.1468i 0.148440 0.913388i
\(276\) 5.36326 + 6.56881i 0.322831 + 0.395396i
\(277\) −16.4414 + 12.3549i −0.987870 + 0.742336i −0.966297 0.257431i \(-0.917124\pi\)
−0.0215736 + 0.999767i \(0.506868\pi\)
\(278\) −11.4400 + 12.9131i −0.686128 + 0.774479i
\(279\) 2.79886 + 17.2221i 0.167563 + 1.03106i
\(280\) −0.0103903 + 0.128707i −0.000620940 + 0.00769172i
\(281\) 5.68800 + 23.0771i 0.339318 + 1.37667i 0.854440 + 0.519549i \(0.173900\pi\)
−0.515123 + 0.857116i \(0.672254\pi\)
\(282\) −11.7934 40.7154i −0.702284 2.42457i
\(283\) −2.94812 14.4408i −0.175248 0.858419i −0.968401 0.249398i \(-0.919767\pi\)
0.793154 0.609022i \(-0.208438\pi\)
\(284\) −0.279947 + 0.228569i −0.0166118 + 0.0135631i
\(285\) 1.04703 8.62306i 0.0620207 0.510786i
\(286\) 28.3903 28.9500i 1.67875 1.71185i
\(287\) 2.35607 + 19.4040i 0.139074 + 1.14538i
\(288\) 24.7440 + 23.7669i 1.45805 + 1.40048i
\(289\) 22.2848 23.2009i 1.31087 1.36476i
\(290\) −5.76512 + 12.1497i −0.338539 + 0.713457i
\(291\) 20.7298 14.3087i 1.21520 0.838792i
\(292\) 7.27987 11.5122i 0.426022 0.673701i
\(293\) 7.46258 + 9.93089i 0.435969 + 0.580169i 0.962941 0.269714i \(-0.0869291\pi\)
−0.526972 + 0.849883i \(0.676673\pi\)
\(294\) −26.2317 49.9804i −1.52987 2.91492i
\(295\) 0.894150 4.37983i 0.0520594 0.255004i
\(296\) −0.0787266 + 0.00635547i −0.00457589 + 0.000369404i
\(297\) 18.9038 + 5.47556i 1.09691 + 0.317724i
\(298\) 31.7126 + 16.6441i 1.83706 + 0.964165i
\(299\) −5.50994 1.41888i −0.318648 0.0820561i
\(300\) 12.9693 6.80681i 0.748782 0.392991i
\(301\) 12.8130 2.61579i 0.738529 0.150772i
\(302\) 3.49643 + 2.62740i 0.201197 + 0.151190i
\(303\) 0.821865 + 20.3944i 0.0472149 + 1.17163i
\(304\) 8.01684 3.04039i 0.459798 0.174378i
\(305\) 3.85652 1.11705i 0.220824 0.0639623i
\(306\) −58.9313 12.0309i −3.36888 0.687761i
\(307\) −19.7940 22.3428i −1.12970 1.27517i −0.956966 0.290201i \(-0.906278\pi\)
−0.172736 0.984968i \(-0.555261\pi\)
\(308\) 29.6077 36.2628i 1.68705 2.06627i
\(309\) −1.08455 + 26.9129i −0.0616981 + 1.53102i
\(310\) −3.87583 11.6095i −0.220133 0.659378i
\(311\) 11.7558 10.4147i 0.666609 0.590564i −0.260446 0.965488i \(-0.583870\pi\)
0.927056 + 0.374924i \(0.122331\pi\)
\(312\) −0.197802 0.0261029i −0.0111983 0.00147778i
\(313\) 0.273059 + 0.241909i 0.0154342 + 0.0136735i 0.670805 0.741634i \(-0.265949\pi\)
−0.655370 + 0.755308i \(0.727487\pi\)
\(314\) 9.44168 22.1604i 0.532825 1.25059i
\(315\) −13.5319 + 23.4379i −0.762436 + 1.32058i
\(316\) 10.3981 + 18.0100i 0.584937 + 1.01314i
\(317\) −14.6380 + 1.77738i −0.822154 + 0.0998276i −0.520794 0.853683i \(-0.674364\pi\)
−0.301361 + 0.953510i \(0.597441\pi\)
\(318\) −37.7172 17.8970i −2.11508 1.00362i
\(319\) −21.7675 + 12.5675i −1.21874 + 0.703642i
\(320\) −9.82712 6.78317i −0.549353 0.379191i
\(321\) −12.7292 + 5.42339i −0.710473 + 0.302704i
\(322\) −13.0015 2.11295i −0.724544 0.117750i
\(323\) −8.98362 + 11.9550i −0.499862 + 0.665195i
\(324\) −2.42854 6.40354i −0.134919 0.355752i
\(325\) −4.30477 + 8.83425i −0.238786 + 0.490036i
\(326\) −4.90515 + 12.9338i −0.271671 + 0.716338i
\(327\) 2.41052 + 3.81193i 0.133302 + 0.210800i
\(328\) 0.0881657 + 0.0375639i 0.00486814 + 0.00207412i
\(329\) 27.7528 + 17.5498i 1.53006 + 0.967552i
\(330\) −45.4717 5.52127i −2.50314 0.303936i
\(331\) −0.782037 1.83551i −0.0429847 0.100889i 0.897103 0.441821i \(-0.145667\pi\)
−0.940088 + 0.340933i \(0.889257\pi\)
\(332\) −3.61500 + 10.8282i −0.198399 + 0.594277i
\(333\) −15.4784 5.87019i −0.848212 0.321685i
\(334\) 18.6875 + 1.50861i 1.02254 + 0.0825476i
\(335\) −1.60537 + 5.54239i −0.0877108 + 0.302813i
\(336\) −45.3391 1.82710i −2.47345 0.0996766i
\(337\) 11.4442 0.623404 0.311702 0.950180i \(-0.399101\pi\)
0.311702 + 0.950180i \(0.399101\pi\)
\(338\) −22.7523 + 12.5139i −1.23756 + 0.680665i
\(339\) −22.8688 −1.24206
\(340\) 21.0246 + 0.847262i 1.14022 + 0.0459492i
\(341\) 6.36444 21.9726i 0.344654 1.18988i
\(342\) 18.2334 + 1.47195i 0.985948 + 0.0795940i
\(343\) 13.5323 + 5.13214i 0.730678 + 0.277110i
\(344\) 0.0203037 0.0608169i 0.00109470 0.00327903i
\(345\) 2.51937 + 5.91319i 0.135638 + 0.318355i
\(346\) −0.502604 0.0610272i −0.0270202 0.00328084i
\(347\) −20.7503 13.1217i −1.11393 0.704410i −0.154966 0.987920i \(-0.549527\pi\)
−0.958969 + 0.283510i \(0.908501\pi\)
\(348\) −22.0710 9.40358i −1.18313 0.504085i
\(349\) −11.7946 18.6516i −0.631348 0.998398i −0.997691 0.0679177i \(-0.978364\pi\)
0.366342 0.930480i \(-0.380610\pi\)
\(350\) −8.06754 + 21.2724i −0.431228 + 1.13706i
\(351\) −10.5820 6.84636i −0.564824 0.365432i
\(352\) −15.9510 42.0593i −0.850190 2.24177i
\(353\) −11.3408 + 15.0918i −0.603608 + 0.803256i −0.993037 0.117800i \(-0.962416\pi\)
0.389430 + 0.921056i \(0.372672\pi\)
\(354\) 15.7831 + 2.56501i 0.838865 + 0.136329i
\(355\) −0.252006 + 0.107370i −0.0133751 + 0.00569859i
\(356\) −11.4860 7.92822i −0.608757 0.420195i
\(357\) 68.5385 39.5707i 3.62744 2.09430i
\(358\) −23.1815 10.9998i −1.22518 0.581356i
\(359\) −7.74831 + 0.940816i −0.408940 + 0.0496543i −0.322422 0.946596i \(-0.604497\pi\)
−0.0865180 + 0.996250i \(0.527574\pi\)
\(360\) 0.0663455 + 0.114914i 0.00349671 + 0.00605649i
\(361\) −7.22596 + 12.5157i −0.380314 + 0.658723i
\(362\) −13.5869 + 31.8897i −0.714114 + 1.67609i
\(363\) −41.8442 37.0707i −2.19625 1.94571i
\(364\) −24.8484 + 16.7737i −1.30241 + 0.879179i
\(365\) 7.72750 6.84597i 0.404476 0.358335i
\(366\) 4.54803 + 13.6230i 0.237730 + 0.712087i
\(367\) 0.257734 6.39561i 0.0134536 0.333848i −0.978420 0.206624i \(-0.933752\pi\)
0.991874 0.127224i \(-0.0406067\pi\)
\(368\) −4.01246 + 4.91438i −0.209164 + 0.256180i
\(369\) 13.3196 + 15.0347i 0.693390 + 0.782675i
\(370\) 11.3777 + 2.32278i 0.591501 + 0.120756i
\(371\) 31.0628 8.99744i 1.61270 0.467124i
\(372\) 20.4156 7.74261i 1.05850 0.401436i
\(373\) 0.476693 + 11.8290i 0.0246822 + 0.612484i 0.963443 + 0.267914i \(0.0863342\pi\)
−0.938761 + 0.344570i \(0.888025\pi\)
\(374\) 63.0420 + 47.3730i 3.25983 + 2.44960i
\(375\) 30.8312 6.29424i 1.59212 0.325033i
\(376\) 0.142552 0.0748168i 0.00735154 0.00385838i
\(377\) 15.6677 3.68974i 0.806930 0.190031i
\(378\) −25.8360 13.5598i −1.32886 0.697440i
\(379\) −14.1547 4.09995i −0.727077 0.210600i −0.106018 0.994364i \(-0.533810\pi\)
−0.621059 + 0.783764i \(0.713297\pi\)
\(380\) −6.37873 + 0.514945i −0.327222 + 0.0264161i
\(381\) −6.84557 + 33.5318i −0.350709 + 1.71789i
\(382\) −16.6132 31.6538i −0.850005 1.61955i
\(383\) −0.706777 0.940549i −0.0361146 0.0480598i 0.781024 0.624501i \(-0.214698\pi\)
−0.817139 + 0.576441i \(0.804441\pi\)
\(384\) −0.236598 + 0.374150i −0.0120739 + 0.0190933i
\(385\) 29.2018 20.1566i 1.48826 1.02727i
\(386\) 16.3681 34.4950i 0.833113 1.75575i
\(387\) 9.30906 9.69176i 0.473206 0.492660i
\(388\) −13.3834 12.8549i −0.679438 0.652609i
\(389\) 4.58196 + 37.7358i 0.232315 + 1.91328i 0.381315 + 0.924445i \(0.375471\pi\)
−0.149001 + 0.988837i \(0.547606\pi\)
\(390\) 26.8658 + 11.7773i 1.36040 + 0.596367i
\(391\) 1.33379 10.9847i 0.0674524 0.555521i
\(392\) 0.166060 0.135584i 0.00838730 0.00684802i
\(393\) −1.47568 7.22834i −0.0744381 0.364622i
\(394\) −13.3296 46.0193i −0.671538 2.31842i
\(395\) 3.77217 + 15.3043i 0.189798 + 0.770042i
\(396\) 3.87102 47.9512i 0.194526 2.40964i
\(397\) −4.13292 25.4309i −0.207425 1.27634i −0.856711 0.515796i \(-0.827496\pi\)
0.649286 0.760544i \(-0.275068\pi\)
\(398\) 18.7677 21.1844i 0.940741 1.06188i
\(399\) −19.2423 + 14.4596i −0.963318 + 0.723886i
\(400\) 6.93034 + 8.48812i 0.346517 + 0.424406i
\(401\) −3.49577 + 21.5103i −0.174570 + 1.07418i 0.740848 + 0.671672i \(0.234424\pi\)
−0.915419 + 0.402503i \(0.868140\pi\)
\(402\) −20.0408 4.93961i −0.999543 0.246365i
\(403\) −7.95777 + 12.2998i −0.396405 + 0.612697i
\(404\) 14.6003 3.59865i 0.726391 0.179039i
\(405\) −0.417690 5.17402i −0.0207552 0.257099i
\(406\) 35.3464 11.8004i 1.75421 0.585642i
\(407\) 15.0348 + 15.6529i 0.745248 + 0.775886i
\(408\) 0.388022i 0.0192100i
\(409\) −16.7058 + 16.0462i −0.826051 + 0.793433i −0.980902 0.194505i \(-0.937690\pi\)
0.154850 + 0.987938i \(0.450510\pi\)
\(410\) −10.9142 8.91118i −0.539015 0.440092i
\(411\) −11.2780 + 21.4884i −0.556302 + 1.05995i
\(412\) 19.5865 3.18312i 0.964959 0.156821i
\(413\) −10.4691 + 6.62024i −0.515149 + 0.325760i
\(414\) −12.2289 + 5.80266i −0.601016 + 0.285185i
\(415\) −4.91518 + 7.12086i −0.241277 + 0.349550i
\(416\) 2.01992 + 28.7357i 0.0990346 + 1.40889i
\(417\) −13.2511 19.1975i −0.648907 0.940105i
\(418\) −20.7701 11.9916i −1.01590 0.586529i
\(419\) 2.05380 + 4.32829i 0.100335 + 0.211451i 0.947410 0.320022i \(-0.103690\pi\)
−0.847076 + 0.531472i \(0.821639\pi\)
\(420\) 32.1247 + 10.7248i 1.56753 + 0.523317i
\(421\) 3.40791 13.8264i 0.166091 0.673859i −0.827562 0.561374i \(-0.810273\pi\)
0.993653 0.112485i \(-0.0358810\pi\)
\(422\) −51.1557 + 2.06150i −2.49022 + 0.100352i
\(423\) 33.7154 1.35868i 1.63930 0.0660614i
\(424\) 0.0379454 0.153950i 0.00184279 0.00747649i
\(425\) −18.1286 6.05221i −0.879366 0.293575i
\(426\) −0.420057 0.885251i −0.0203518 0.0428906i
\(427\) −9.63495 5.56274i −0.466268 0.269200i
\(428\) 5.79062 + 8.38916i 0.279900 + 0.405505i
\(429\) 28.8201 + 46.6397i 1.39145 + 2.25179i
\(430\) −5.35499 + 7.75804i −0.258241 + 0.374126i
\(431\) 19.6971 9.34639i 0.948776 0.450200i 0.109549 0.993981i \(-0.465059\pi\)
0.839227 + 0.543782i \(0.183008\pi\)
\(432\) −11.8781 + 7.51127i −0.571486 + 0.361386i
\(433\) 25.9555 4.21818i 1.24734 0.202713i 0.499338 0.866407i \(-0.333577\pi\)
0.748004 + 0.663694i \(0.231012\pi\)
\(434\) −15.7610 + 30.0301i −0.756553 + 1.44149i
\(435\) −14.0852 11.5002i −0.675332 0.551391i
\(436\) 2.39636 2.30174i 0.114765 0.110233i
\(437\) 3.36536i 0.160987i
\(438\) 25.5818 + 26.6335i 1.22235 + 1.27260i
\(439\) −13.4758 + 4.49890i −0.643167 + 0.214721i −0.619497 0.784999i \(-0.712663\pi\)
−0.0236700 + 0.999720i \(0.507535\pi\)
\(440\) −0.0139987 0.173405i −0.000667361 0.00826675i
\(441\) 43.6268 10.7530i 2.07747 0.512050i
\(442\) −29.9171 40.6846i −1.42301 1.93517i
\(443\) −18.8633 4.64938i −0.896222 0.220899i −0.235807 0.971800i \(-0.575773\pi\)
−0.660415 + 0.750901i \(0.729619\pi\)
\(444\) −3.32307 + 20.4477i −0.157706 + 0.970404i
\(445\) −6.69018 8.19399i −0.317145 0.388432i
\(446\) 26.8995 20.2136i 1.27373 0.957144i
\(447\) −32.1128 + 36.2478i −1.51888 + 1.71446i
\(448\) 5.30761 + 32.6590i 0.250761 + 1.54299i
\(449\) 2.30623 28.5678i 0.108838 1.34820i −0.679827 0.733372i \(-0.737945\pi\)
0.788665 0.614823i \(-0.210773\pi\)
\(450\) 5.59494 + 22.6996i 0.263748 + 1.07007i
\(451\) −7.32675 25.2949i −0.345003 1.19109i
\(452\) 3.37004 + 16.5076i 0.158513 + 0.776450i
\(453\) −4.58076 + 3.74007i −0.215223 + 0.175724i
\(454\) 1.00922 8.31171i 0.0473653 0.390088i
\(455\) −21.6273 + 6.97167i −1.01390 + 0.326837i
\(456\) 0.0142246 + 0.117150i 0.000666129 + 0.00548606i
\(457\) 23.8794 + 22.9365i 1.11703 + 1.07292i 0.996780 + 0.0801796i \(0.0255494\pi\)
0.120251 + 0.992744i \(0.461630\pi\)
\(458\) 5.06706 5.27537i 0.236768 0.246502i
\(459\) 10.5079 22.1450i 0.490469 1.03364i
\(460\) 3.89709 2.68997i 0.181703 0.125420i
\(461\) −18.1033 + 28.6280i −0.843153 + 1.33334i 0.0979394 + 0.995192i \(0.468775\pi\)
−0.941093 + 0.338148i \(0.890199\pi\)
\(462\) 76.2495 + 101.470i 3.54745 + 4.72079i
\(463\) 12.5829 + 23.9748i 0.584779 + 1.11420i 0.980627 + 0.195887i \(0.0627585\pi\)
−0.395848 + 0.918316i \(0.629549\pi\)
\(464\) 3.59014 17.5857i 0.166668 0.816395i
\(465\) 16.4957 1.33167i 0.764968 0.0617546i
\(466\) 22.9086 + 6.63557i 1.06122 + 0.307387i
\(467\) −19.4378 10.2018i −0.899476 0.472082i −0.0494229 0.998778i \(-0.515738\pi\)
−0.850054 + 0.526696i \(0.823431\pi\)
\(468\) −11.2229 + 28.6908i −0.518778 + 1.32623i
\(469\) 14.1575 7.43044i 0.653734 0.343106i
\(470\) −23.1915 + 4.73458i −1.06974 + 0.218390i
\(471\) 26.0380 + 19.5663i 1.19977 + 0.901565i
\(472\) 0.00244537 + 0.0606812i 0.000112557 + 0.00279308i
\(473\) −16.4738 + 6.24770i −0.757468 + 0.287270i
\(474\) −54.1571 + 15.6868i −2.48752 + 0.720518i
\(475\) 5.69519 + 1.16268i 0.261313 + 0.0533475i
\(476\) −38.6637 43.6422i −1.77215 2.00034i
\(477\) 21.0177 25.7420i 0.962336 1.17865i
\(478\) 1.25231 31.0757i 0.0572792 1.42137i
\(479\) −3.45774 10.3572i −0.157988 0.473232i 0.839556 0.543273i \(-0.182815\pi\)
−0.997544 + 0.0700410i \(0.977687\pi\)
\(480\) 24.3582 21.5795i 1.11179 0.984963i
\(481\) −6.33121 12.3734i −0.288678 0.564180i
\(482\) 11.1693 + 9.89511i 0.508746 + 0.450710i
\(483\) 6.98106 16.3852i 0.317649 0.745550i
\(484\) −20.5927 + 35.6675i −0.936030 + 1.62125i
\(485\) −7.03260 12.1808i −0.319334 0.553102i
\(486\) 39.2268 4.76299i 1.77936 0.216054i
\(487\) −36.3107 17.2297i −1.64540 0.780750i −0.999855 0.0170241i \(-0.994581\pi\)
−0.645541 0.763726i \(-0.723368\pi\)
\(488\) −0.0472392 + 0.0272735i −0.00213842 + 0.00123462i
\(489\) −15.3928 10.6249i −0.696087 0.480474i
\(490\) −28.9970 + 12.3545i −1.30995 + 0.558119i
\(491\) −7.26513 1.18070i −0.327871 0.0532842i −0.00575195 0.999983i \(-0.501831\pi\)
−0.322119 + 0.946699i \(0.604395\pi\)
\(492\) 15.1002 20.0947i 0.680769 0.905939i
\(493\) 11.1007 + 29.2701i 0.499949 + 1.31826i
\(494\) 10.5239 + 11.1866i 0.473494 + 0.503310i
\(495\) 12.9298 34.0931i 0.581151 1.53237i
\(496\) 8.73061 + 13.8064i 0.392016 + 0.619924i
\(497\) 0.698296 + 0.297516i 0.0313229 + 0.0133454i
\(498\) −26.1593 16.5421i −1.17222 0.741270i
\(499\) 17.4844 + 2.12299i 0.782709 + 0.0950381i 0.502129 0.864793i \(-0.332550\pi\)
0.280580 + 0.959831i \(0.409473\pi\)
\(500\) −9.08682 21.3275i −0.406375 0.953797i
\(501\) −8.02760 + 24.0456i −0.358647 + 1.07428i
\(502\) 1.28726 + 0.488192i 0.0574531 + 0.0217891i
\(503\) 12.1173 + 0.978209i 0.540284 + 0.0436162i 0.347597 0.937644i \(-0.386998\pi\)
0.192687 + 0.981260i \(0.438280\pi\)
\(504\) 0.102295 0.353164i 0.00455659 0.0157312i
\(505\) 11.3881 + 0.458926i 0.506766 + 0.0204220i
\(506\) 17.7465 0.788926
\(507\) −9.06640 33.9195i −0.402653 1.50642i
\(508\) 25.2133 1.11866
\(509\) −39.7729 1.60279i −1.76290 0.0710426i −0.862489 0.506076i \(-0.831096\pi\)
−0.900414 + 0.435033i \(0.856737\pi\)
\(510\) −15.8720 + 54.7965i −0.702824 + 2.42643i
\(511\) −28.5141 2.30190i −1.26139 0.101830i
\(512\) 29.8798 + 11.3319i 1.32051 + 0.500804i
\(513\) −2.36070 + 7.07116i −0.104228 + 0.312200i
\(514\) 9.41518 + 22.0982i 0.415286 + 0.974712i
\(515\) 14.9306 + 1.81290i 0.657921 + 0.0798861i
\(516\) −14.2134 8.98799i −0.625709 0.395674i
\(517\) −40.6995 17.3404i −1.78996 0.762631i
\(518\) −17.1978 27.1961i −0.755626 1.19493i
\(519\) 0.242755 0.640092i 0.0106558 0.0280969i
\(520\) −0.0234162 + 0.108921i −0.00102687 + 0.00477649i
\(521\) −8.99446 23.7164i −0.394055 1.03904i −0.974431 0.224688i \(-0.927864\pi\)
0.580376 0.814348i \(-0.302905\pi\)
\(522\) 23.0042 30.6131i 1.00687 1.33990i
\(523\) −0.834172 0.135566i −0.0364758 0.00592790i 0.142146 0.989846i \(-0.454600\pi\)
−0.178622 + 0.983918i \(0.557164\pi\)
\(524\) −5.00022 + 2.13039i −0.218436 + 0.0930667i
\(525\) −25.3167 17.4749i −1.10491 0.762665i
\(526\) −9.79201 + 5.65342i −0.426952 + 0.246501i
\(527\) −25.7400 12.2138i −1.12125 0.532040i
\(528\) 60.6883 7.36890i 2.64112 0.320690i
\(529\) 10.2549 + 17.7620i 0.445865 + 0.772261i
\(530\) −11.6560 + 20.1887i −0.506303 + 0.876942i
\(531\) −4.98920 + 11.7101i −0.216513 + 0.508174i
\(532\) 13.2731 + 11.7589i 0.575462 + 0.509814i
\(533\) −0.174988 + 16.8637i −0.00757958 + 0.730450i
\(534\) 28.3232 25.0922i 1.22567 1.08585i
\(535\) 2.44663 + 7.32856i 0.105777 + 0.316841i
\(536\) 0.00315654 0.0783287i 0.000136342 0.00338328i
\(537\) 21.9422 26.8743i 0.946874 1.15971i
\(538\) 41.8995 + 47.2948i 1.80642 + 2.03902i
\(539\) −57.7196 11.7835i −2.48616 0.507553i
\(540\) 10.0753 2.91836i 0.433573 0.125586i
\(541\) −18.9242 + 7.17698i −0.813613 + 0.308563i −0.726090 0.687600i \(-0.758664\pi\)
−0.0875230 + 0.996162i \(0.527895\pi\)
\(542\) 0.959384 + 23.8069i 0.0412091 + 1.02259i
\(543\) −37.4696 28.1566i −1.60797 1.20831i
\(544\) −54.8913 + 11.2061i −2.35344 + 0.480459i
\(545\) 2.22997 1.17038i 0.0955216 0.0501336i
\(546\) −28.0332 76.2957i −1.19971 3.26516i
\(547\) 8.94300 + 4.69365i 0.382375 + 0.200686i 0.644948 0.764226i \(-0.276879\pi\)
−0.262573 + 0.964912i \(0.584571\pi\)
\(548\) 17.1731 + 4.97425i 0.733598 + 0.212489i
\(549\) −11.3956 + 0.919946i −0.486351 + 0.0392623i
\(550\) 6.13113 30.0323i 0.261432 1.28058i
\(551\) −4.42450 8.43018i −0.188490 0.359138i
\(552\) −0.0524582 0.0698092i −0.00223277 0.00297128i
\(553\) 23.3437 36.9150i 0.992673 1.56979i
\(554\) −33.8077 + 23.3358i −1.43635 + 0.991443i
\(555\) −6.73113 + 14.1856i −0.285720 + 0.602143i
\(556\) −11.9047 + 12.3941i −0.504872 + 0.525628i
\(557\) 10.5868 + 10.1687i 0.448576 + 0.430863i 0.882662 0.470009i \(-0.155749\pi\)
−0.434086 + 0.900871i \(0.642929\pi\)
\(558\) 4.20085 + 34.5971i 0.177836 + 1.46461i
\(559\) 11.2553 0.791165i 0.476047 0.0334627i
\(560\) −3.05413 + 25.1530i −0.129060 + 1.06291i
\(561\) −82.5928 + 67.4349i −3.48707 + 2.84711i
\(562\) 9.49613 + 46.5151i 0.400570 + 1.96212i
\(563\) 0.216310 + 0.746788i 0.00911637 + 0.0314734i 0.964947 0.262443i \(-0.0845283\pi\)
−0.955831 + 0.293917i \(0.905041\pi\)
\(564\) −10.1053 40.9988i −0.425509 1.72636i
\(565\) −1.02755 + 12.7285i −0.0432293 + 0.535491i
\(566\) −4.72244 29.0584i −0.198499 1.22141i
\(567\) −9.53809 + 10.7663i −0.400562 + 0.452141i
\(568\) 0.00297510 0.00223564i 0.000124832 9.38055e-5i
\(569\) −0.582071 0.712908i −0.0244017 0.0298866i 0.762260 0.647271i \(-0.224090\pi\)
−0.786662 + 0.617384i \(0.788192\pi\)
\(570\) 2.78322 17.1258i 0.116576 0.717322i
\(571\) 17.1250 + 4.22093i 0.716658 + 0.176640i 0.580751 0.814081i \(-0.302759\pi\)
0.135907 + 0.990722i \(0.456605\pi\)
\(572\) 29.4192 27.6764i 1.23008 1.15721i
\(573\) 46.9322 11.5677i 1.96062 0.483250i
\(574\) 3.14164 + 38.9162i 0.131130 + 1.62433i
\(575\) −4.07974 + 1.36202i −0.170137 + 0.0568001i
\(576\) 23.5533 + 24.5216i 0.981389 + 1.02173i
\(577\) 28.6096i 1.19103i −0.803342 0.595517i \(-0.796947\pi\)
0.803342 0.595517i \(-0.203053\pi\)
\(578\) 46.3423 44.5123i 1.92758 1.85147i
\(579\) 39.9900 + 32.6508i 1.66193 + 1.35692i
\(580\) −6.22560 + 11.8619i −0.258504 + 0.492538i
\(581\) 23.6652 3.84597i 0.981797 0.159558i
\(582\) 42.5236 26.8903i 1.76266 1.11464i
\(583\) −39.3638 + 18.6784i −1.63028 + 0.773579i
\(584\) −0.0796748 + 0.115429i −0.00329697 + 0.00477648i
\(585\) −14.2206 + 18.5209i −0.587950 + 0.765744i
\(586\) 14.0952 + 20.4204i 0.582267 + 0.843560i
\(587\) 23.4935 + 13.5640i 0.969682 + 0.559846i 0.899139 0.437662i \(-0.144194\pi\)
0.0705428 + 0.997509i \(0.477527\pi\)
\(588\) −24.1048 50.7997i −0.994064 2.09495i
\(589\) 8.21907 + 2.74393i 0.338661 + 0.113062i
\(590\) 2.13682 8.66942i 0.0879715 0.356914i
\(591\) 64.7293 2.60850i 2.66261 0.107299i
\(592\) −15.4858 + 0.624057i −0.636463 + 0.0256486i
\(593\) 6.81419 27.6463i 0.279825 1.13530i −0.647808 0.761804i \(-0.724314\pi\)
0.927633 0.373492i \(-0.121840\pi\)
\(594\) 37.2881 + 12.4486i 1.52995 + 0.510773i
\(595\) −18.9449 39.9255i −0.776665 1.63679i
\(596\) 30.8973 + 17.8385i 1.26560 + 0.730695i
\(597\) 21.7388 + 31.4940i 0.889708 + 1.28897i
\(598\) −10.8827 3.27498i −0.445027 0.133924i
\(599\) 12.1147 17.5511i 0.494992 0.717120i −0.493272 0.869875i \(-0.664199\pi\)
0.988264 + 0.152755i \(0.0488147\pi\)
\(600\) −0.136261 + 0.0646568i −0.00556285 + 0.00263960i
\(601\) −34.7696 + 21.9870i −1.41828 + 0.896868i −0.999935 0.0114183i \(-0.996365\pi\)
−0.418349 + 0.908286i \(0.637391\pi\)
\(602\) 25.7827 4.19010i 1.05083 0.170776i
\(603\) 7.63559 14.5484i 0.310945 0.592457i
\(604\) 3.37476 + 2.75540i 0.137317 + 0.112116i
\(605\) −22.5132 + 21.6242i −0.915291 + 0.879149i
\(606\) 40.7695i 1.65615i
\(607\) 2.11058 + 2.19735i 0.0856659 + 0.0891876i 0.762655 0.646805i \(-0.223895\pi\)
−0.676990 + 0.735993i \(0.736716\pi\)
\(608\) 16.1618 5.39559i 0.655446 0.218820i
\(609\) 4.05439 + 50.2227i 0.164292 + 2.03513i
\(610\) 7.78673 1.91926i 0.315276 0.0777085i
\(611\) 21.7582 + 18.1445i 0.880242 + 0.734048i
\(612\) −58.1742 14.3387i −2.35155 0.579606i
\(613\) 2.22353 13.6819i 0.0898074 0.552607i −0.902685 0.430302i \(-0.858407\pi\)
0.992493 0.122305i \(-0.0390288\pi\)
\(614\) −37.7081 46.1840i −1.52177 1.86384i
\(615\) 15.2307 11.4451i 0.614159 0.461511i
\(616\) −0.319665 + 0.360827i −0.0128797 + 0.0145381i
\(617\) −3.72393 22.9143i −0.149920 0.922494i −0.947611 0.319427i \(-0.896509\pi\)
0.797691 0.603067i \(-0.206055\pi\)
\(618\) −4.32913 + 53.6259i −0.174143 + 2.15715i
\(619\) −5.41183 21.9566i −0.217520 0.882512i −0.973642 0.228082i \(-0.926755\pi\)
0.756122 0.654430i \(-0.227091\pi\)
\(620\) −3.39211 11.7109i −0.136230 0.470322i
\(621\) −1.10338 5.40473i −0.0442773 0.216884i
\(622\) 24.3000 19.8403i 0.974341 0.795525i
\(623\) −3.53316 + 29.0982i −0.141553 + 1.16579i
\(624\) −38.5759 6.68075i −1.54427 0.267444i
\(625\) −0.475298 3.91443i −0.0190119 0.156577i
\(626\) 0.525519 + 0.504768i 0.0210040 + 0.0201746i
\(627\) 22.4640 23.3875i 0.897126 0.934008i
\(628\) 10.2866 21.6785i 0.410479 0.865066i
\(629\) 22.2462 15.3555i 0.887016 0.612263i
\(630\) −28.8922 + 45.6894i −1.15109 + 1.82031i
\(631\) −22.9172 30.4972i −0.912318 1.21407i −0.976365 0.216128i \(-0.930657\pi\)
0.0640471 0.997947i \(-0.479599\pi\)
\(632\) −0.0995167 0.189613i −0.00395856 0.00754241i
\(633\) 13.8469 67.8264i 0.550363 2.69586i
\(634\) −29.3578 + 2.37000i −1.16595 + 0.0941249i
\(635\) 18.3558 + 5.31681i 0.728426 + 0.210991i
\(636\) −36.8236 19.3265i −1.46015 0.766347i
\(637\) 33.2210 + 17.8778i 1.31626 + 0.708344i
\(638\) −44.4546 + 23.3316i −1.75997 + 0.923706i
\(639\) 0.764228 0.156018i 0.0302324 0.00617199i
\(640\) 0.197616 + 0.148499i 0.00781145 + 0.00586993i
\(641\) −1.37995 34.2432i −0.0545049 1.35253i −0.762812 0.646621i \(-0.776182\pi\)
0.708307 0.705905i \(-0.249459\pi\)
\(642\) −25.8412 + 9.80029i −1.01987 + 0.386787i
\(643\) 20.4143 5.91307i 0.805061 0.233189i 0.149922 0.988698i \(-0.452098\pi\)
0.655138 + 0.755509i \(0.272610\pi\)
\(644\) −12.8562 2.62460i −0.506604 0.103424i
\(645\) −8.45228 9.54065i −0.332808 0.375663i
\(646\) −18.8912 + 23.1375i −0.743262 + 0.910331i
\(647\) 0.147247 3.65391i 0.00578889 0.143650i −0.993710 0.111987i \(-0.964279\pi\)
0.999499 0.0316632i \(-0.0100804\pi\)
\(648\) 0.0223318 + 0.0668920i 0.000877277 + 0.00262777i
\(649\) 12.4914 11.0664i 0.490329 0.434393i
\(650\) −9.30205 + 17.2853i −0.364856 + 0.677985i
\(651\) −34.3247 30.4091i −1.34529 1.19183i
\(652\) −5.40109 + 12.6768i −0.211523 + 0.496462i
\(653\) 18.9152 32.7622i 0.740211 1.28208i −0.212188 0.977229i \(-0.568059\pi\)
0.952399 0.304854i \(-0.0986076\pi\)
\(654\) 4.50435 + 7.80177i 0.176134 + 0.305073i
\(655\) −4.08950 + 0.496555i −0.159790 + 0.0194020i
\(656\) 16.9895 + 8.06161i 0.663328 + 0.314753i
\(657\) −25.4583 + 14.6983i −0.993222 + 0.573437i
\(658\) 53.9779 + 37.2583i 2.10428 + 1.45248i
\(659\) 14.3482 6.11321i 0.558928 0.238137i −0.0939804 0.995574i \(-0.529959\pi\)
0.652908 + 0.757437i \(0.273549\pi\)
\(660\) −45.0384 7.31946i −1.75312 0.284909i
\(661\) 22.7924 30.3311i 0.886520 1.17974i −0.0963319 0.995349i \(-0.530711\pi\)
0.982852 0.184395i \(-0.0590326\pi\)
\(662\) −1.41317 3.72623i −0.0549246 0.144824i
\(663\) 63.0932 26.1114i 2.45034 1.01408i
\(664\) 0.0416839 0.109911i 0.00161765 0.00426539i
\(665\) 7.18342 + 11.3597i 0.278561 + 0.440509i
\(666\) −30.4199 12.9607i −1.17875 0.502218i
\(667\) 5.95426 + 3.76525i 0.230550 + 0.145791i
\(668\) 18.5400 + 2.25116i 0.717333 + 0.0870999i
\(669\) 17.8330 + 41.8556i 0.689464 + 1.61823i
\(670\) −3.64979 + 10.9325i −0.141004 + 0.422358i
\(671\) 14.0151 + 5.31523i 0.541047 + 0.205192i
\(672\) −89.8804 7.25590i −3.46721 0.279902i
\(673\) −12.0086 + 41.4586i −0.462899 + 1.59811i 0.301565 + 0.953446i \(0.402491\pi\)
−0.764464 + 0.644667i \(0.776996\pi\)
\(674\) 22.8404 + 0.920438i 0.879781 + 0.0354540i
\(675\) −9.52761 −0.366718
\(676\) −23.1483 + 11.5430i −0.890319 + 0.443960i
\(677\) −18.7128 −0.719191 −0.359595 0.933108i \(-0.617085\pi\)
−0.359595 + 0.933108i \(0.617085\pi\)
\(678\) −45.6419 1.83931i −1.75287 0.0706382i
\(679\) −10.8432 + 37.4352i −0.416125 + 1.43663i
\(680\) −0.215968 0.0174347i −0.00828198 0.000668590i
\(681\) 10.5854 + 4.01451i 0.405633 + 0.153836i
\(682\) 14.4695 43.3413i 0.554064 1.65963i
\(683\) 11.1375 + 26.1407i 0.426166 + 1.00025i 0.985248 + 0.171135i \(0.0547434\pi\)
−0.559082 + 0.829112i \(0.688846\pi\)
\(684\) 18.0894 + 2.19645i 0.691665 + 0.0839834i
\(685\) 11.4534 + 7.24269i 0.437612 + 0.276729i
\(686\) 26.5953 + 11.3312i 1.01541 + 0.432627i
\(687\) 5.28609 + 8.35928i 0.201677 + 0.318926i
\(688\) 4.46138 11.7637i 0.170089 0.448487i
\(689\) 27.5861 4.18987i 1.05095 0.159621i
\(690\) 4.55261 + 12.0042i 0.173315 + 0.456994i
\(691\) −27.1424 + 36.1200i −1.03254 + 1.37407i −0.107502 + 0.994205i \(0.534285\pi\)
−0.925043 + 0.379863i \(0.875971\pi\)
\(692\) −0.497815 0.0809028i −0.0189241 0.00307546i
\(693\) −92.9510 + 39.6027i −3.53092 + 1.50438i
\(694\) −40.3584 27.8574i −1.53198 1.05745i
\(695\) −11.2804 + 6.51277i −0.427892 + 0.247043i
\(696\) 0.223186 + 0.105903i 0.00845986 + 0.00401425i
\(697\) −32.5594 + 3.95343i −1.23328 + 0.149747i
\(698\) −22.0396 38.1738i −0.834212 1.44490i
\(699\) −16.1244 + 27.9282i −0.609880 + 1.05634i
\(700\) −8.88321 + 20.8497i −0.335754 + 0.788043i
\(701\) −0.0187671 0.0166262i −0.000708823 0.000627962i 0.662768 0.748825i \(-0.269381\pi\)
−0.663477 + 0.748197i \(0.730920\pi\)
\(702\) −20.5690 14.5152i −0.776327 0.547839i
\(703\) −6.15359 + 5.45160i −0.232087 + 0.205611i
\(704\) −14.1165 42.2840i −0.532035 1.59364i
\(705\) 1.28870 31.9788i 0.0485353 1.20439i
\(706\) −23.8479 + 29.2083i −0.897526 + 1.09927i
\(707\) −20.9425 23.6392i −0.787623 0.889043i
\(708\) 15.6067 + 3.18614i 0.586537 + 0.119742i
\(709\) 7.34085 2.12630i 0.275691 0.0798550i −0.137492 0.990503i \(-0.543904\pi\)
0.413183 + 0.910648i \(0.364417\pi\)
\(710\) −0.511592 + 0.194021i −0.0191997 + 0.00728149i
\(711\) −1.80724 44.8461i −0.0677766 1.68186i
\(712\) 0.114891 + 0.0863346i 0.00430570 + 0.00323553i
\(713\) −6.28211 + 1.28250i −0.235267 + 0.0480301i
\(714\) 139.973 73.4633i 5.23834 2.74929i
\(715\) 27.2540 13.9452i 1.01924 0.521522i
\(716\) −22.6323 11.8784i −0.845809 0.443915i
\(717\) 40.3922 + 11.6997i 1.50847 + 0.436935i
\(718\) −15.5399 + 1.25451i −0.579942 + 0.0468178i
\(719\) 8.08174 39.5870i 0.301398 1.47635i −0.493576 0.869703i \(-0.664310\pi\)
0.794974 0.606643i \(-0.207484\pi\)
\(720\) 12.1001 + 23.0549i 0.450945 + 0.859204i
\(721\) −25.0365 33.3175i −0.932406 1.24081i
\(722\) −15.4283 + 24.3979i −0.574182 + 0.907996i
\(723\) −16.6049 + 11.4616i −0.617544 + 0.426260i
\(724\) −14.8028 + 31.1962i −0.550141 + 1.15940i
\(725\) 8.42902 8.77554i 0.313046 0.325915i
\(726\) −80.5316 77.3517i −2.98881 2.87079i
\(727\) −3.13307 25.8031i −0.116199 0.956985i −0.927879 0.372882i \(-0.878370\pi\)
0.811680 0.584103i \(-0.198554\pi\)
\(728\) 0.262617 0.162279i 0.00973322 0.00601445i
\(729\) −5.19555 + 42.7892i −0.192428 + 1.58479i
\(730\) 15.9733 13.0418i 0.591197 0.482698i
\(731\) 4.38924 + 21.4999i 0.162342 + 0.795203i
\(732\) 3.98041 + 13.7420i 0.147120 + 0.507918i
\(733\) 3.87323 + 15.7143i 0.143061 + 0.580422i 0.998086 + 0.0618355i \(0.0196954\pi\)
−0.855025 + 0.518586i \(0.826458\pi\)
\(734\) 1.02878 12.7437i 0.0379730 0.470380i
\(735\) −6.83643 42.0662i −0.252166 1.55164i
\(736\) −8.36051 + 9.43706i −0.308172 + 0.347855i
\(737\) −17.2213 + 12.9410i −0.634355 + 0.476687i
\(738\) 25.3742 + 31.0777i 0.934037 + 1.14399i
\(739\) 4.87315 29.9857i 0.179262 1.10304i −0.728961 0.684555i \(-0.759996\pi\)
0.908223 0.418487i \(-0.137440\pi\)
\(740\) 11.2316 + 2.76833i 0.412881 + 0.101766i
\(741\) −18.0917 + 10.1964i −0.664614 + 0.374575i
\(742\) 62.7192 15.4589i 2.30249 0.567514i
\(743\) 0.174255 + 2.15853i 0.00639279 + 0.0791890i 0.999167 0.0408086i \(-0.0129934\pi\)
−0.992774 + 0.119998i \(0.961711\pi\)
\(744\) −0.213263 + 0.0711977i −0.00781861 + 0.00261023i
\(745\) 18.7321 + 19.5022i 0.686292 + 0.714506i
\(746\) 23.6469i 0.865774i
\(747\) 17.7687 17.0671i 0.650123 0.624452i
\(748\) 60.8482 + 49.6810i 2.22483 + 1.81652i
\(749\) 9.94919 18.9566i 0.363536 0.692659i
\(750\) 62.0396 10.0824i 2.26537 0.368158i
\(751\) −20.1482 + 12.7409i −0.735218 + 0.464924i −0.848873 0.528597i \(-0.822718\pi\)
0.113655 + 0.993520i \(0.463744\pi\)
\(752\) 28.5406 13.5427i 1.04077 0.493852i
\(753\) −1.05746 + 1.53199i −0.0385359 + 0.0558289i
\(754\) 31.5667 6.10390i 1.14959 0.222291i
\(755\) 1.87585 + 2.71763i 0.0682691 + 0.0989048i
\(756\) −25.1718 14.5329i −0.915488 0.528557i
\(757\) −0.938828 1.97854i −0.0341223 0.0719112i 0.885674 0.464309i \(-0.153697\pi\)
−0.919796 + 0.392397i \(0.871646\pi\)
\(758\) −27.9204 9.32118i −1.01411 0.338561i
\(759\) −5.74251 + 23.2983i −0.208440 + 0.845674i
\(760\) 0.0658433 0.00265340i 0.00238839 9.62488e-5i
\(761\) −17.7931 + 0.717037i −0.644999 + 0.0259926i −0.360610 0.932717i \(-0.617432\pi\)
−0.284388 + 0.958709i \(0.591791\pi\)
\(762\) −16.3594 + 66.3727i −0.592639 + 2.40443i
\(763\) −6.61936 2.20987i −0.239637 0.0800025i
\(764\) −15.2661 32.1727i −0.552309 1.16397i
\(765\) −39.3283 22.7062i −1.42192 0.820944i
\(766\) −1.33495 1.93401i −0.0482336