Properties

Label 189.2.u.a.4.19
Level $189$
Weight $2$
Character 189.4
Analytic conductor $1.509$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [189,2,Mod(4,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([2, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.u (of order \(9\), degree \(6\), 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: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.19
Character \(\chi\) \(=\) 189.4
Dual form 189.2.u.a.142.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.371090 + 2.10456i) q^{2} +(0.871315 - 1.49693i) q^{3} +(-2.41207 + 0.877922i) q^{4} +(2.18602 - 0.795646i) q^{5} +(3.47372 + 1.27824i) q^{6} +(1.27150 - 2.32019i) q^{7} +(-0.605711 - 1.04912i) q^{8} +(-1.48162 - 2.60860i) q^{9} +O(q^{10})\) \(q+(0.371090 + 2.10456i) q^{2} +(0.871315 - 1.49693i) q^{3} +(-2.41207 + 0.877922i) q^{4} +(2.18602 - 0.795646i) q^{5} +(3.47372 + 1.27824i) q^{6} +(1.27150 - 2.32019i) q^{7} +(-0.605711 - 1.04912i) q^{8} +(-1.48162 - 2.60860i) q^{9} +(2.48569 + 4.30535i) q^{10} +(-1.37492 - 0.500429i) q^{11} +(-0.787484 + 4.37566i) q^{12} +(-5.79948 + 2.11084i) q^{13} +(5.35482 + 1.81494i) q^{14} +(0.713683 - 3.96558i) q^{15} +(-1.94951 + 1.63584i) q^{16} +(3.15768 + 5.46926i) q^{17} +(4.94014 - 4.08618i) q^{18} +(-2.94716 + 5.10463i) q^{19} +(-4.57432 + 3.83831i) q^{20} +(-2.36530 - 3.92497i) q^{21} +(0.542963 - 3.07930i) q^{22} +(0.628803 - 3.56612i) q^{23} +(-2.09823 - 0.00740721i) q^{24} +(0.315402 - 0.264654i) q^{25} +(-6.59451 - 11.4220i) q^{26} +(-5.19586 - 0.0550294i) q^{27} +(-1.02999 + 6.71275i) q^{28} +(-2.39036 - 0.870020i) q^{29} +(8.61064 + 0.0303974i) q^{30} +(5.82200 - 2.11903i) q^{31} +(-6.02216 - 5.05319i) q^{32} +(-1.94710 + 1.62213i) q^{33} +(-10.3386 + 8.67511i) q^{34} +(0.933465 - 6.08365i) q^{35} +(5.86392 + 4.99139i) q^{36} +0.375316 q^{37} +(-11.8366 - 4.30819i) q^{38} +(-1.89339 + 10.5206i) q^{39} +(-2.15882 - 1.81147i) q^{40} +(6.70424 - 2.44014i) q^{41} +(7.38258 - 6.43443i) q^{42} +(0.123419 + 0.699942i) q^{43} +3.75574 q^{44} +(-5.31437 - 4.52361i) q^{45} +7.73844 q^{46} +(7.13729 + 2.59776i) q^{47} +(0.750096 + 4.34362i) q^{48} +(-3.76659 - 5.90024i) q^{49} +(0.674022 + 0.565571i) q^{50} +(10.9385 + 0.0386151i) q^{51} +(12.1356 - 10.1830i) q^{52} +(-0.517201 + 0.895818i) q^{53} +(-1.81232 - 10.9554i) q^{54} -3.40376 q^{55} +(-3.20433 + 0.0714101i) q^{56} +(5.07338 + 8.85944i) q^{57} +(0.943968 - 5.35351i) q^{58} +(-2.58481 - 2.16891i) q^{59} +(1.76002 + 10.1918i) q^{60} +(-5.48842 - 1.99762i) q^{61} +(6.62011 + 11.4664i) q^{62} +(-7.93633 + 0.120812i) q^{63} +(5.85507 - 10.1413i) q^{64} +(-10.9983 + 9.22866i) q^{65} +(-4.13641 - 3.49582i) q^{66} +(1.04873 - 5.94764i) q^{67} +(-12.4181 - 10.4201i) q^{68} +(-4.79035 - 4.04849i) q^{69} +(13.1498 - 0.293050i) q^{70} +(3.69767 - 6.40455i) q^{71} +(-1.83931 + 3.13446i) q^{72} -6.77172 q^{73} +(0.139276 + 0.789875i) q^{74} +(-0.121354 - 0.702733i) q^{75} +(2.62729 - 14.9001i) q^{76} +(-2.90930 + 2.55378i) q^{77} +(-22.8439 - 0.0806439i) q^{78} +(0.0335365 + 0.190195i) q^{79} +(-2.96013 + 5.12709i) q^{80} +(-4.60961 + 7.72991i) q^{81} +(7.62331 + 13.2040i) q^{82} +(9.88619 + 3.59828i) q^{83} +(9.15109 + 7.39075i) q^{84} +(11.2543 + 9.44351i) q^{85} +(-1.42727 + 0.519483i) q^{86} +(-3.38512 + 2.82015i) q^{87} +(0.307791 + 1.74557i) q^{88} +(-1.46082 + 2.53022i) q^{89} +(7.54808 - 12.8631i) q^{90} +(-2.47647 + 16.1398i) q^{91} +(1.61406 + 9.15377i) q^{92} +(1.90074 - 10.5615i) q^{93} +(-2.81856 + 15.9848i) q^{94} +(-2.38107 + 13.5037i) q^{95} +(-12.8115 + 4.61185i) q^{96} +(-2.44666 - 13.8757i) q^{97} +(11.0196 - 10.1165i) q^{98} +(0.731684 + 4.32806i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 132 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 3 q^{5} - 18 q^{6} - 6 q^{7} - 6 q^{8} - 15 q^{9} + 3 q^{10} - 15 q^{11} - 3 q^{12} - 12 q^{13} - 30 q^{14} + 9 q^{16} + 27 q^{17} - 3 q^{18} + 3 q^{19} - 18 q^{20} + 15 q^{21} - 12 q^{22} - 36 q^{23} - 72 q^{24} - 3 q^{25} + 30 q^{26} - 12 q^{27} - 12 q^{28} - 30 q^{29} - 3 q^{30} - 3 q^{31} - 75 q^{32} + 15 q^{33} - 18 q^{34} + 15 q^{35} - 60 q^{36} - 6 q^{37} + 69 q^{38} + 51 q^{39} + 51 q^{40} - 39 q^{42} - 12 q^{43} - 6 q^{44} - 21 q^{45} - 6 q^{46} - 21 q^{47} + 90 q^{48} - 42 q^{49} - 39 q^{50} + 33 q^{51} + 9 q^{52} + 9 q^{53} - 9 q^{54} - 24 q^{55} + 111 q^{56} - 18 q^{57} - 3 q^{58} + 27 q^{59} - 63 q^{60} - 21 q^{61} + 75 q^{62} + 63 q^{63} - 30 q^{64} - 90 q^{65} - 3 q^{66} - 3 q^{67} - 30 q^{68} - 6 q^{69} + 39 q^{70} - 18 q^{71} + 183 q^{72} - 42 q^{73} + 51 q^{74} - 45 q^{75} - 24 q^{76} + 15 q^{77} - 30 q^{78} + 15 q^{79} + 102 q^{80} - 87 q^{81} - 6 q^{82} - 42 q^{83} + 135 q^{84} - 63 q^{85} - 93 q^{86} + 75 q^{87} - 51 q^{88} + 75 q^{89} - 39 q^{90} - 21 q^{91} - 66 q^{92} + 81 q^{93} + 33 q^{94} + 15 q^{95} - 171 q^{96} - 12 q^{97} - 36 q^{98} + 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.371090 + 2.10456i 0.262401 + 1.48815i 0.776336 + 0.630319i \(0.217076\pi\)
−0.513936 + 0.857829i \(0.671813\pi\)
\(3\) 0.871315 1.49693i 0.503054 0.864255i
\(4\) −2.41207 + 0.877922i −1.20604 + 0.438961i
\(5\) 2.18602 0.795646i 0.977617 0.355824i 0.196704 0.980463i \(-0.436976\pi\)
0.780913 + 0.624639i \(0.214754\pi\)
\(6\) 3.47372 + 1.27824i 1.41814 + 0.521838i
\(7\) 1.27150 2.32019i 0.480581 0.876950i
\(8\) −0.605711 1.04912i −0.214151 0.370921i
\(9\) −1.48162 2.60860i −0.493873 0.869534i
\(10\) 2.48569 + 4.30535i 0.786045 + 1.36147i
\(11\) −1.37492 0.500429i −0.414553 0.150885i 0.126319 0.991990i \(-0.459684\pi\)
−0.540872 + 0.841105i \(0.681906\pi\)
\(12\) −0.787484 + 4.37566i −0.227327 + 1.26314i
\(13\) −5.79948 + 2.11084i −1.60849 + 0.585441i −0.981140 0.193300i \(-0.938081\pi\)
−0.627346 + 0.778741i \(0.715859\pi\)
\(14\) 5.35482 + 1.81494i 1.43114 + 0.485063i
\(15\) 0.713683 3.96558i 0.184272 1.02391i
\(16\) −1.94951 + 1.63584i −0.487378 + 0.408959i
\(17\) 3.15768 + 5.46926i 0.765850 + 1.32649i 0.939796 + 0.341736i \(0.111015\pi\)
−0.173946 + 0.984755i \(0.555652\pi\)
\(18\) 4.94014 4.08618i 1.16440 0.963122i
\(19\) −2.94716 + 5.10463i −0.676124 + 1.17108i 0.300015 + 0.953935i \(0.403008\pi\)
−0.976139 + 0.217147i \(0.930325\pi\)
\(20\) −4.57432 + 3.83831i −1.02285 + 0.858272i
\(21\) −2.36530 3.92497i −0.516151 0.856498i
\(22\) 0.542963 3.07930i 0.115760 0.656509i
\(23\) 0.628803 3.56612i 0.131114 0.743587i −0.846373 0.532591i \(-0.821218\pi\)
0.977487 0.210996i \(-0.0676706\pi\)
\(24\) −2.09823 0.00740721i −0.428300 0.00151199i
\(25\) 0.315402 0.264654i 0.0630804 0.0529307i
\(26\) −6.59451 11.4220i −1.29329 2.24004i
\(27\) −5.19586 0.0550294i −0.999944 0.0105904i
\(28\) −1.02999 + 6.71275i −0.194651 + 1.26859i
\(29\) −2.39036 0.870020i −0.443879 0.161559i 0.110405 0.993887i \(-0.464785\pi\)
−0.554283 + 0.832328i \(0.687008\pi\)
\(30\) 8.61064 + 0.0303974i 1.57208 + 0.00554978i
\(31\) 5.82200 2.11903i 1.04566 0.380590i 0.238638 0.971109i \(-0.423299\pi\)
0.807024 + 0.590519i \(0.201077\pi\)
\(32\) −6.02216 5.05319i −1.06458 0.893287i
\(33\) −1.94710 + 1.62213i −0.338946 + 0.282376i
\(34\) −10.3386 + 8.67511i −1.77305 + 1.48777i
\(35\) 0.933465 6.08365i 0.157784 1.02832i
\(36\) 5.86392 + 4.99139i 0.977320 + 0.831898i
\(37\) 0.375316 0.0617016 0.0308508 0.999524i \(-0.490178\pi\)
0.0308508 + 0.999524i \(0.490178\pi\)
\(38\) −11.8366 4.30819i −1.92016 0.698880i
\(39\) −1.89339 + 10.5206i −0.303185 + 1.68465i
\(40\) −2.15882 1.81147i −0.341340 0.286418i
\(41\) 6.70424 2.44014i 1.04703 0.381087i 0.239487 0.970900i \(-0.423021\pi\)
0.807540 + 0.589813i \(0.200799\pi\)
\(42\) 7.38258 6.43443i 1.13916 0.992854i
\(43\) 0.123419 + 0.699942i 0.0188212 + 0.106740i 0.992771 0.120023i \(-0.0382968\pi\)
−0.973950 + 0.226763i \(0.927186\pi\)
\(44\) 3.75574 0.566199
\(45\) −5.31437 4.52361i −0.792219 0.674340i
\(46\) 7.73844 1.14097
\(47\) 7.13729 + 2.59776i 1.04108 + 0.378922i 0.805290 0.592882i \(-0.202010\pi\)
0.235791 + 0.971804i \(0.424232\pi\)
\(48\) 0.750096 + 4.34362i 0.108267 + 0.626947i
\(49\) −3.76659 5.90024i −0.538084 0.842891i
\(50\) 0.674022 + 0.565571i 0.0953211 + 0.0799839i
\(51\) 10.9385 + 0.0386151i 1.53169 + 0.00540720i
\(52\) 12.1356 10.1830i 1.68291 1.41213i
\(53\) −0.517201 + 0.895818i −0.0710430 + 0.123050i −0.899359 0.437212i \(-0.855966\pi\)
0.828316 + 0.560262i \(0.189299\pi\)
\(54\) −1.81232 10.9554i −0.246626 1.49084i
\(55\) −3.40376 −0.458963
\(56\) −3.20433 + 0.0714101i −0.428196 + 0.00954257i
\(57\) 5.07338 + 8.85944i 0.671986 + 1.17346i
\(58\) 0.943968 5.35351i 0.123949 0.702950i
\(59\) −2.58481 2.16891i −0.336514 0.282369i 0.458834 0.888522i \(-0.348267\pi\)
−0.795348 + 0.606154i \(0.792712\pi\)
\(60\) 1.76002 + 10.1918i 0.227217 + 1.31576i
\(61\) −5.48842 1.99762i −0.702720 0.255769i −0.0341481 0.999417i \(-0.510872\pi\)
−0.668572 + 0.743648i \(0.733094\pi\)
\(62\) 6.62011 + 11.4664i 0.840755 + 1.45623i
\(63\) −7.93633 + 0.120812i −0.999884 + 0.0152208i
\(64\) 5.85507 10.1413i 0.731883 1.26766i
\(65\) −10.9983 + 9.22866i −1.36417 + 1.14467i
\(66\) −4.13641 3.49582i −0.509157 0.430306i
\(67\) 1.04873 5.94764i 0.128123 0.726619i −0.851281 0.524709i \(-0.824174\pi\)
0.979404 0.201910i \(-0.0647149\pi\)
\(68\) −12.4181 10.4201i −1.50592 1.26362i
\(69\) −4.79035 4.04849i −0.576691 0.487381i
\(70\) 13.1498 0.293050i 1.57170 0.0350262i
\(71\) 3.69767 6.40455i 0.438833 0.760080i −0.558767 0.829325i \(-0.688725\pi\)
0.997600 + 0.0692443i \(0.0220588\pi\)
\(72\) −1.83931 + 3.13446i −0.216765 + 0.369399i
\(73\) −6.77172 −0.792570 −0.396285 0.918127i \(-0.629701\pi\)
−0.396285 + 0.918127i \(0.629701\pi\)
\(74\) 0.139276 + 0.789875i 0.0161905 + 0.0918210i
\(75\) −0.121354 0.702733i −0.0140128 0.0811446i
\(76\) 2.62729 14.9001i 0.301371 1.70916i
\(77\) −2.90930 + 2.55378i −0.331545 + 0.291030i
\(78\) −22.8439 0.0806439i −2.58656 0.00913113i
\(79\) 0.0335365 + 0.190195i 0.00377315 + 0.0213986i 0.986636 0.162939i \(-0.0520973\pi\)
−0.982863 + 0.184337i \(0.940986\pi\)
\(80\) −2.96013 + 5.12709i −0.330952 + 0.573226i
\(81\) −4.60961 + 7.72991i −0.512179 + 0.858879i
\(82\) 7.62331 + 13.2040i 0.841853 + 1.45813i
\(83\) 9.88619 + 3.59828i 1.08515 + 0.394963i 0.821822 0.569744i \(-0.192958\pi\)
0.263328 + 0.964706i \(0.415180\pi\)
\(84\) 9.15109 + 7.39075i 0.998465 + 0.806397i
\(85\) 11.2543 + 9.44351i 1.22070 + 1.02429i
\(86\) −1.42727 + 0.519483i −0.153906 + 0.0560173i
\(87\) −3.38512 + 2.82015i −0.362923 + 0.302352i
\(88\) 0.307791 + 1.74557i 0.0328107 + 0.186079i
\(89\) −1.46082 + 2.53022i −0.154847 + 0.268203i −0.933003 0.359868i \(-0.882822\pi\)
0.778156 + 0.628071i \(0.216155\pi\)
\(90\) 7.54808 12.8631i 0.795638 1.35589i
\(91\) −2.47647 + 16.1398i −0.259605 + 1.69191i
\(92\) 1.61406 + 9.15377i 0.168277 + 0.954346i
\(93\) 1.90074 10.5615i 0.197098 1.09517i
\(94\) −2.81856 + 15.9848i −0.290712 + 1.64871i
\(95\) −2.38107 + 13.5037i −0.244292 + 1.38545i
\(96\) −12.8115 + 4.61185i −1.30757 + 0.470695i
\(97\) −2.44666 13.8757i −0.248420 1.40886i −0.812413 0.583082i \(-0.801847\pi\)
0.563993 0.825780i \(-0.309265\pi\)
\(98\) 11.0196 10.1165i 1.11315 1.02192i
\(99\) 0.731684 + 4.32806i 0.0735370 + 0.434986i
\(100\) −0.528427 + 0.915262i −0.0528427 + 0.0915262i
\(101\) 1.67945 + 9.52463i 0.167111 + 0.947736i 0.946861 + 0.321644i \(0.104235\pi\)
−0.779749 + 0.626092i \(0.784653\pi\)
\(102\) 3.97789 + 23.0350i 0.393870 + 2.28080i
\(103\) 1.60902 0.585637i 0.158542 0.0577045i −0.261530 0.965195i \(-0.584227\pi\)
0.420072 + 0.907491i \(0.362005\pi\)
\(104\) 5.72733 + 4.80580i 0.561611 + 0.471248i
\(105\) −8.29347 6.69811i −0.809360 0.653668i
\(106\) −2.07723 0.756050i −0.201758 0.0734341i
\(107\) −1.53920 2.66597i −0.148800 0.257729i 0.781984 0.623298i \(-0.214208\pi\)
−0.930784 + 0.365569i \(0.880874\pi\)
\(108\) 12.5811 4.42883i 1.21062 0.426164i
\(109\) −0.812082 + 1.40657i −0.0777833 + 0.134725i −0.902293 0.431123i \(-0.858118\pi\)
0.824510 + 0.565847i \(0.191451\pi\)
\(110\) −1.26310 7.16341i −0.120432 0.683004i
\(111\) 0.327019 0.561823i 0.0310392 0.0533259i
\(112\) 1.31665 + 6.60321i 0.124412 + 0.623944i
\(113\) −0.388718 + 2.20453i −0.0365675 + 0.207385i −0.997617 0.0689905i \(-0.978022\pi\)
0.961050 + 0.276375i \(0.0891333\pi\)
\(114\) −16.7625 + 13.9649i −1.56995 + 1.30793i
\(115\) −1.46279 8.29590i −0.136406 0.773597i
\(116\) 6.52953 0.606252
\(117\) 14.0989 + 12.0011i 1.30345 + 1.10950i
\(118\) 3.60541 6.24475i 0.331905 0.574876i
\(119\) 16.7047 0.372274i 1.53132 0.0341263i
\(120\) −4.59267 + 1.65326i −0.419251 + 0.150921i
\(121\) −6.78652 5.69457i −0.616956 0.517688i
\(122\) 2.16741 12.2920i 0.196228 1.11286i
\(123\) 2.18877 12.1619i 0.197355 1.09661i
\(124\) −12.1827 + 10.2225i −1.09404 + 0.918009i
\(125\) −5.33688 + 9.24374i −0.477345 + 0.826785i
\(126\) −3.19935 16.6576i −0.285021 1.48398i
\(127\) −9.92699 17.1940i −0.880878 1.52572i −0.850367 0.526190i \(-0.823620\pi\)
−0.0305106 0.999534i \(-0.509713\pi\)
\(128\) 8.74111 + 3.18150i 0.772612 + 0.281208i
\(129\) 1.15530 + 0.425121i 0.101719 + 0.0374298i
\(130\) −23.5036 19.7219i −2.06140 1.72972i
\(131\) 0.874588 4.96003i 0.0764131 0.433360i −0.922468 0.386073i \(-0.873831\pi\)
0.998881 0.0472872i \(-0.0150576\pi\)
\(132\) 3.27243 5.62209i 0.284829 0.489340i
\(133\) 8.09641 + 13.3285i 0.702048 + 1.15573i
\(134\) 12.9063 1.11494
\(135\) −11.4020 + 4.01377i −0.981331 + 0.345450i
\(136\) 3.82528 6.62558i 0.328015 0.568139i
\(137\) 6.55693 5.50192i 0.560196 0.470061i −0.318180 0.948030i \(-0.603072\pi\)
0.878376 + 0.477970i \(0.158627\pi\)
\(138\) 6.74262 11.5839i 0.573970 0.986090i
\(139\) 8.63861 + 7.24866i 0.732718 + 0.614823i 0.930871 0.365348i \(-0.119050\pi\)
−0.198153 + 0.980171i \(0.563494\pi\)
\(140\) 3.08938 + 15.4937i 0.261100 + 1.30946i
\(141\) 10.1075 8.42058i 0.851205 0.709140i
\(142\) 14.8509 + 5.40529i 1.24626 + 0.453602i
\(143\) 9.03012 0.755137
\(144\) 7.15568 + 2.66182i 0.596307 + 0.221818i
\(145\) −5.91760 −0.491430
\(146\) −2.51292 14.2515i −0.207971 1.17946i
\(147\) −12.1141 + 0.497365i −0.999158 + 0.0410220i
\(148\) −0.905289 + 0.329498i −0.0744143 + 0.0270846i
\(149\) −10.8257 9.08381i −0.886873 0.744175i 0.0807075 0.996738i \(-0.474282\pi\)
−0.967580 + 0.252563i \(0.918726\pi\)
\(150\) 1.43391 0.516175i 0.117078 0.0421455i
\(151\) 14.9078 + 5.42601i 1.21318 + 0.441563i 0.867807 0.496902i \(-0.165529\pi\)
0.345376 + 0.938464i \(0.387751\pi\)
\(152\) 7.14050 0.579171
\(153\) 9.58865 16.3405i 0.775196 1.32105i
\(154\) −6.45419 5.17510i −0.520093 0.417021i
\(155\) 11.0410 9.26449i 0.886834 0.744142i
\(156\) −4.66931 27.0388i −0.373844 2.16483i
\(157\) 1.05236 + 0.883038i 0.0839877 + 0.0704741i 0.683815 0.729656i \(-0.260320\pi\)
−0.599827 + 0.800130i \(0.704764\pi\)
\(158\) −0.387832 + 0.141159i −0.0308542 + 0.0112300i
\(159\) 0.890335 + 1.55476i 0.0706082 + 0.123300i
\(160\) −17.1851 6.25487i −1.35860 0.494491i
\(161\) −7.47456 5.99325i −0.589078 0.472334i
\(162\) −17.9786 6.83269i −1.41253 0.536827i
\(163\) −8.15141 14.1187i −0.638468 1.10586i −0.985769 0.168105i \(-0.946235\pi\)
0.347302 0.937753i \(-0.387098\pi\)
\(164\) −14.0289 + 11.7716i −1.09547 + 0.919208i
\(165\) −2.96575 + 5.09520i −0.230883 + 0.396661i
\(166\) −3.90412 + 22.1414i −0.303018 + 1.71850i
\(167\) −1.93682 + 10.9843i −0.149876 + 0.849988i 0.813446 + 0.581640i \(0.197589\pi\)
−0.963322 + 0.268348i \(0.913522\pi\)
\(168\) −2.68508 + 4.85888i −0.207159 + 0.374871i
\(169\) 19.2197 16.1273i 1.47844 1.24056i
\(170\) −15.6980 + 27.1898i −1.20399 + 2.08536i
\(171\) 17.6825 + 0.124848i 1.35221 + 0.00954734i
\(172\) −0.912189 1.57996i −0.0695538 0.120471i
\(173\) 9.41636 7.90126i 0.715912 0.600722i −0.210339 0.977629i \(-0.567457\pi\)
0.926251 + 0.376907i \(0.123012\pi\)
\(174\) −7.19135 6.07765i −0.545175 0.460746i
\(175\) −0.213015 1.06830i −0.0161024 0.0807559i
\(176\) 3.49904 1.27355i 0.263750 0.0959971i
\(177\) −5.49890 + 1.97948i −0.413323 + 0.148787i
\(178\) −5.86709 2.13545i −0.439757 0.160058i
\(179\) 10.4647 + 18.1254i 0.782171 + 1.35476i 0.930675 + 0.365848i \(0.119221\pi\)
−0.148504 + 0.988912i \(0.547446\pi\)
\(180\) 16.7900 + 6.24566i 1.25145 + 0.465524i
\(181\) 10.3316 + 17.8949i 0.767942 + 1.33012i 0.938677 + 0.344798i \(0.112053\pi\)
−0.170734 + 0.985317i \(0.554614\pi\)
\(182\) −34.8862 + 0.777457i −2.58594 + 0.0576290i
\(183\) −7.77245 + 6.47524i −0.574556 + 0.478663i
\(184\) −4.12216 + 1.50035i −0.303890 + 0.110607i
\(185\) 0.820448 0.298619i 0.0603205 0.0219549i
\(186\) 22.9326 + 0.0809571i 1.68150 + 0.00593606i
\(187\) −1.60457 9.09998i −0.117338 0.665456i
\(188\) −19.4963 −1.42191
\(189\) −6.73420 + 11.9854i −0.489841 + 0.871812i
\(190\) −29.3029 −2.12586
\(191\) 2.33173 + 13.2239i 0.168718 + 0.956846i 0.945148 + 0.326643i \(0.105917\pi\)
−0.776430 + 0.630203i \(0.782971\pi\)
\(192\) −10.0792 17.6009i −0.727404 1.27023i
\(193\) −14.3151 + 5.21028i −1.03043 + 0.375044i −0.801243 0.598339i \(-0.795828\pi\)
−0.229183 + 0.973383i \(0.573605\pi\)
\(194\) 28.2942 10.2983i 2.03141 0.739372i
\(195\) 4.23171 + 24.5048i 0.303039 + 1.75482i
\(196\) 14.2652 + 10.9250i 1.01895 + 0.780359i
\(197\) 4.15038 + 7.18868i 0.295703 + 0.512172i 0.975148 0.221554i \(-0.0711129\pi\)
−0.679446 + 0.733726i \(0.737780\pi\)
\(198\) −8.83713 + 3.14597i −0.628027 + 0.223575i
\(199\) 0.0177052 + 0.0306663i 0.00125509 + 0.00217388i 0.866652 0.498913i \(-0.166267\pi\)
−0.865397 + 0.501087i \(0.832934\pi\)
\(200\) −0.468696 0.170592i −0.0331418 0.0120626i
\(201\) −7.98944 6.75214i −0.563532 0.476259i
\(202\) −19.4219 + 7.06900i −1.36652 + 0.497373i
\(203\) −5.05795 + 4.43987i −0.354999 + 0.311618i
\(204\) −26.4182 + 9.50997i −1.84965 + 0.665831i
\(205\) 12.7141 10.6684i 0.887992 0.745114i
\(206\) 1.82960 + 3.16896i 0.127474 + 0.220792i
\(207\) −10.2342 + 3.64333i −0.711328 + 0.253229i
\(208\) 7.85317 13.6021i 0.544520 0.943135i
\(209\) 6.60660 5.54360i 0.456988 0.383458i
\(210\) 11.0189 19.9397i 0.760379 1.37597i
\(211\) 0.173013 0.981208i 0.0119107 0.0675491i −0.978273 0.207321i \(-0.933526\pi\)
0.990184 + 0.139771i \(0.0446368\pi\)
\(212\) 0.461067 2.61484i 0.0316662 0.179588i
\(213\) −6.36535 11.1155i −0.436147 0.761625i
\(214\) 5.03951 4.22865i 0.344494 0.289065i
\(215\) 0.826701 + 1.43189i 0.0563806 + 0.0976540i
\(216\) 3.08946 + 5.48442i 0.210211 + 0.373168i
\(217\) 2.48609 16.2025i 0.168767 1.09990i
\(218\) −3.26156 1.18711i −0.220901 0.0804012i
\(219\) −5.90031 + 10.1368i −0.398706 + 0.684983i
\(220\) 8.21011 2.98824i 0.553526 0.201467i
\(221\) −29.8576 25.0535i −2.00844 1.68528i
\(222\) 1.30374 + 0.479743i 0.0875015 + 0.0321982i
\(223\) 14.0014 11.7485i 0.937601 0.786741i −0.0395650 0.999217i \(-0.512597\pi\)
0.977166 + 0.212476i \(0.0681528\pi\)
\(224\) −19.3815 + 7.54745i −1.29498 + 0.504286i
\(225\) −1.15768 0.430642i −0.0771788 0.0287095i
\(226\) −4.78381 −0.318214
\(227\) −4.94795 1.80091i −0.328407 0.119530i 0.172554 0.985000i \(-0.444798\pi\)
−0.500961 + 0.865470i \(0.667020\pi\)
\(228\) −20.0153 16.9156i −1.32554 1.12026i
\(229\) 2.74297 + 2.30162i 0.181260 + 0.152096i 0.728903 0.684617i \(-0.240030\pi\)
−0.547643 + 0.836712i \(0.684475\pi\)
\(230\) 16.9164 6.15706i 1.11543 0.405984i
\(231\) 1.28792 + 6.58017i 0.0847392 + 0.432943i
\(232\) 0.535110 + 3.03476i 0.0351317 + 0.199242i
\(233\) 1.43067 0.0937262 0.0468631 0.998901i \(-0.485078\pi\)
0.0468631 + 0.998901i \(0.485078\pi\)
\(234\) −20.0250 + 34.1255i −1.30907 + 2.23086i
\(235\) 17.6691 1.15261
\(236\) 8.13889 + 2.96231i 0.529796 + 0.192830i
\(237\) 0.313930 + 0.115518i 0.0203920 + 0.00750370i
\(238\) 6.98244 + 35.0179i 0.452604 + 2.26987i
\(239\) 10.1253 + 8.49612i 0.654950 + 0.549569i 0.908569 0.417736i \(-0.137176\pi\)
−0.253618 + 0.967304i \(0.581621\pi\)
\(240\) 5.09571 + 8.89842i 0.328926 + 0.574391i
\(241\) −22.2596 + 18.6780i −1.43386 + 1.20316i −0.490481 + 0.871452i \(0.663179\pi\)
−0.943384 + 0.331703i \(0.892377\pi\)
\(242\) 9.46613 16.3958i 0.608506 1.05396i
\(243\) 7.55474 + 13.6355i 0.484637 + 0.874716i
\(244\) 14.9922 0.959778
\(245\) −12.9283 9.90116i −0.825961 0.632562i
\(246\) 26.4077 + 0.0932251i 1.68370 + 0.00594381i
\(247\) 6.31694 35.8251i 0.401937 2.27950i
\(248\) −5.74957 4.82446i −0.365098 0.306354i
\(249\) 14.0004 11.6637i 0.887238 0.739159i
\(250\) −21.4345 7.80150i −1.35563 0.493410i
\(251\) 2.58209 + 4.47231i 0.162980 + 0.282290i 0.935936 0.352170i \(-0.114556\pi\)
−0.772956 + 0.634460i \(0.781223\pi\)
\(252\) 19.0369 7.25889i 1.19921 0.457267i
\(253\) −2.64914 + 4.58844i −0.166550 + 0.288473i
\(254\) 32.5021 27.2725i 2.03936 1.71123i
\(255\) 23.9424 8.61872i 1.49933 0.539725i
\(256\) 0.614970 3.48767i 0.0384356 0.217979i
\(257\) −22.7350 19.0769i −1.41817 1.18998i −0.952313 0.305123i \(-0.901302\pi\)
−0.465855 0.884861i \(-0.654253\pi\)
\(258\) −0.465969 + 2.58916i −0.0290100 + 0.161194i
\(259\) 0.477213 0.870806i 0.0296526 0.0541092i
\(260\) 18.4266 31.9158i 1.14277 1.97934i
\(261\) 1.27207 + 7.52454i 0.0787390 + 0.465757i
\(262\) 10.7632 0.664955
\(263\) −4.58677 26.0129i −0.282833 1.60402i −0.712926 0.701239i \(-0.752631\pi\)
0.430094 0.902784i \(-0.358480\pi\)
\(264\) 2.88119 + 1.06020i 0.177325 + 0.0652508i
\(265\) −0.417857 + 2.36978i −0.0256687 + 0.145575i
\(266\) −25.0461 + 21.9854i −1.53567 + 1.34801i
\(267\) 2.51473 + 4.39137i 0.153899 + 0.268747i
\(268\) 2.69195 + 15.2668i 0.164437 + 0.932570i
\(269\) 4.17652 7.23394i 0.254647 0.441061i −0.710153 0.704048i \(-0.751374\pi\)
0.964800 + 0.262986i \(0.0847075\pi\)
\(270\) −12.6784 22.5068i −0.771582 1.36972i
\(271\) 11.6652 + 20.2047i 0.708609 + 1.22735i 0.965373 + 0.260873i \(0.0840104\pi\)
−0.256764 + 0.966474i \(0.582656\pi\)
\(272\) −15.1028 5.49695i −0.915739 0.333302i
\(273\) 22.0025 + 17.7700i 1.33165 + 1.07549i
\(274\) 14.0123 + 11.7577i 0.846515 + 0.710311i
\(275\) −0.566092 + 0.206041i −0.0341366 + 0.0124247i
\(276\) 15.1089 + 5.55968i 0.909451 + 0.334654i
\(277\) 3.78966 + 21.4922i 0.227699 + 1.29134i 0.857459 + 0.514553i \(0.172042\pi\)
−0.629760 + 0.776790i \(0.716847\pi\)
\(278\) −12.0495 + 20.8704i −0.722682 + 1.25172i
\(279\) −14.1537 12.0477i −0.847359 0.721275i
\(280\) −6.94790 + 2.70561i −0.415216 + 0.161691i
\(281\) 4.66276 + 26.4438i 0.278157 + 1.57751i 0.728751 + 0.684778i \(0.240101\pi\)
−0.450594 + 0.892729i \(0.648788\pi\)
\(282\) 21.4724 + 18.1470i 1.27866 + 1.08064i
\(283\) −2.25911 + 12.8120i −0.134290 + 0.761597i 0.841061 + 0.540940i \(0.181931\pi\)
−0.975351 + 0.220657i \(0.929180\pi\)
\(284\) −3.29634 + 18.6945i −0.195602 + 1.10931i
\(285\) 18.1395 + 15.3303i 1.07449 + 0.908087i
\(286\) 3.35099 + 19.0044i 0.198148 + 1.12376i
\(287\) 2.86282 18.6578i 0.168987 1.10133i
\(288\) −4.25922 + 23.1963i −0.250977 + 1.36686i
\(289\) −11.4419 + 19.8179i −0.673053 + 1.16576i
\(290\) −2.19596 12.4539i −0.128951 0.731320i
\(291\) −22.9028 8.42761i −1.34258 0.494035i
\(292\) 16.3339 5.94505i 0.955868 0.347908i
\(293\) −16.5967 13.9263i −0.969592 0.813584i 0.0128946 0.999917i \(-0.495895\pi\)
−0.982487 + 0.186332i \(0.940340\pi\)
\(294\) −5.54218 25.3104i −0.323226 1.47613i
\(295\) −7.37613 2.68469i −0.429455 0.156309i
\(296\) −0.227333 0.393752i −0.0132135 0.0228864i
\(297\) 7.11634 + 2.67582i 0.412932 + 0.155267i
\(298\) 15.1001 26.1542i 0.874726 1.51507i
\(299\) 3.88076 + 22.0089i 0.224430 + 1.27281i
\(300\) 0.909660 + 1.58850i 0.0525192 + 0.0917122i
\(301\) 1.78093 + 0.603619i 0.102651 + 0.0347920i
\(302\) −5.88720 + 33.3880i −0.338770 + 1.92126i
\(303\) 15.7211 + 5.78493i 0.903152 + 0.332336i
\(304\) −2.60481 14.7726i −0.149396 0.847266i
\(305\) −13.5872 −0.778000
\(306\) 37.9478 + 14.1161i 2.16933 + 0.806962i
\(307\) 2.66936 4.62347i 0.152348 0.263875i −0.779742 0.626101i \(-0.784650\pi\)
0.932090 + 0.362226i \(0.117983\pi\)
\(308\) 4.77541 8.71403i 0.272104 0.496528i
\(309\) 0.525308 2.91888i 0.0298837 0.166049i
\(310\) 23.5949 + 19.7984i 1.34010 + 1.12448i
\(311\) −2.63744 + 14.9577i −0.149556 + 0.848172i 0.814040 + 0.580809i \(0.197264\pi\)
−0.963596 + 0.267364i \(0.913848\pi\)
\(312\) 12.1843 4.38607i 0.689799 0.248312i
\(313\) −5.78325 + 4.85272i −0.326889 + 0.274292i −0.791431 0.611259i \(-0.790663\pi\)
0.464542 + 0.885551i \(0.346219\pi\)
\(314\) −1.46788 + 2.54245i −0.0828374 + 0.143479i
\(315\) −17.2528 + 6.57861i −0.972088 + 0.370662i
\(316\) −0.247869 0.429322i −0.0139437 0.0241512i
\(317\) −3.63433 1.32279i −0.204125 0.0742953i 0.237935 0.971281i \(-0.423530\pi\)
−0.442059 + 0.896986i \(0.645752\pi\)
\(318\) −2.94168 + 2.45072i −0.164961 + 0.137429i
\(319\) 2.85116 + 2.39241i 0.159635 + 0.133949i
\(320\) 4.73042 26.8276i 0.264439 1.49971i
\(321\) −5.33191 0.0188228i −0.297598 0.00105059i
\(322\) 9.83941 17.9547i 0.548329 1.00058i
\(323\) −37.2247 −2.07124
\(324\) 4.33245 22.6920i 0.240691 1.26067i
\(325\) −1.27053 + 2.20061i −0.0704761 + 0.122068i
\(326\) 26.6886 22.3944i 1.47815 1.24031i
\(327\) 1.39796 + 2.44120i 0.0773072 + 0.134998i
\(328\) −6.62084 5.55555i −0.365575 0.306754i
\(329\) 15.1023 13.2568i 0.832619 0.730873i
\(330\) −11.8237 4.35081i −0.650874 0.239504i
\(331\) −12.9416 4.71035i −0.711333 0.258904i −0.0390912 0.999236i \(-0.512446\pi\)
−0.672242 + 0.740332i \(0.734669\pi\)
\(332\) −27.0052 −1.48210
\(333\) −0.556076 0.979050i −0.0304728 0.0536516i
\(334\) −23.8358 −1.30423
\(335\) −2.43967 13.8361i −0.133293 0.755945i
\(336\) 11.0318 + 3.78253i 0.601833 + 0.206354i
\(337\) −5.07604 + 1.84753i −0.276509 + 0.100641i −0.476553 0.879146i \(-0.658114\pi\)
0.200043 + 0.979787i \(0.435892\pi\)
\(338\) 41.0730 + 34.4643i 2.23408 + 1.87461i
\(339\) 2.96134 + 2.50273i 0.160838 + 0.135929i
\(340\) −35.4370 12.8980i −1.92184 0.699492i
\(341\) −9.06519 −0.490907
\(342\) 6.29906 + 37.2602i 0.340614 + 2.01480i
\(343\) −18.4789 + 1.23707i −0.997767 + 0.0667958i
\(344\) 0.659569 0.553444i 0.0355616 0.0298397i
\(345\) −13.6930 5.03864i −0.737204 0.271271i
\(346\) 20.1230 + 16.8852i 1.08182 + 0.907753i
\(347\) 9.33144 3.39636i 0.500938 0.182326i −0.0791780 0.996860i \(-0.525230\pi\)
0.580116 + 0.814534i \(0.303007\pi\)
\(348\) 5.68928 9.77427i 0.304977 0.523956i
\(349\) 11.9746 + 4.35840i 0.640986 + 0.233300i 0.642006 0.766700i \(-0.278103\pi\)
−0.00102019 + 0.999999i \(0.500325\pi\)
\(350\) 2.16925 0.844738i 0.115951 0.0451531i
\(351\) 30.2494 10.6485i 1.61460 0.568373i
\(352\) 5.75121 + 9.96139i 0.306541 + 0.530944i
\(353\) −11.9407 + 10.0194i −0.635540 + 0.533281i −0.902645 0.430386i \(-0.858377\pi\)
0.267105 + 0.963667i \(0.413933\pi\)
\(354\) −6.20653 10.8382i −0.329873 0.576044i
\(355\) 2.98742 16.9425i 0.158556 0.899214i
\(356\) 1.30227 7.38555i 0.0690203 0.391434i
\(357\) 13.9978 25.3302i 0.740843 1.34062i
\(358\) −34.2627 + 28.7498i −1.81084 + 1.51948i
\(359\) 7.46084 12.9226i 0.393768 0.682026i −0.599175 0.800618i \(-0.704505\pi\)
0.992943 + 0.118592i \(0.0378380\pi\)
\(360\) −1.52685 + 8.31542i −0.0804718 + 0.438261i
\(361\) −7.87146 13.6338i −0.414288 0.717567i
\(362\) −33.8268 + 28.3841i −1.77790 + 1.49183i
\(363\) −14.4376 + 5.19721i −0.757777 + 0.272783i
\(364\) −8.19609 41.1046i −0.429592 2.15446i
\(365\) −14.8031 + 5.38789i −0.774830 + 0.282015i
\(366\) −16.5118 13.9547i −0.863085 0.729422i
\(367\) 9.93599 + 3.61640i 0.518654 + 0.188775i 0.588065 0.808813i \(-0.299890\pi\)
−0.0694110 + 0.997588i \(0.522112\pi\)
\(368\) 4.60772 + 7.98081i 0.240194 + 0.416028i
\(369\) −16.2985 13.8733i −0.848466 0.722217i
\(370\) 0.932920 + 1.61587i 0.0485002 + 0.0840049i
\(371\) 1.42085 + 2.33904i 0.0737669 + 0.121437i
\(372\) 4.68744 + 27.1438i 0.243032 + 1.40734i
\(373\) 22.5189 8.19620i 1.16598 0.424383i 0.314752 0.949174i \(-0.398079\pi\)
0.851231 + 0.524791i \(0.175856\pi\)
\(374\) 18.5560 6.75383i 0.959508 0.349232i
\(375\) 9.18716 + 16.0432i 0.474423 + 0.828465i
\(376\) −1.59777 9.06138i −0.0823985 0.467305i
\(377\) 15.6993 0.808556
\(378\) −27.7230 9.72484i −1.42592 0.500192i
\(379\) −37.7717 −1.94020 −0.970102 0.242698i \(-0.921968\pi\)
−0.970102 + 0.242698i \(0.921968\pi\)
\(380\) −6.11189 34.6623i −0.313534 1.77814i
\(381\) −34.3879 0.121397i −1.76174 0.00621934i
\(382\) −26.9651 + 9.81451i −1.37966 + 0.502154i
\(383\) −4.79996 + 1.74704i −0.245267 + 0.0892698i −0.461728 0.887021i \(-0.652771\pi\)
0.216462 + 0.976291i \(0.430548\pi\)
\(384\) 12.3788 10.3128i 0.631701 0.526271i
\(385\) −4.32787 + 7.89738i −0.220569 + 0.402488i
\(386\) −16.2775 28.1935i −0.828505 1.43501i
\(387\) 1.64301 1.35900i 0.0835189 0.0690817i
\(388\) 18.0833 + 31.3212i 0.918039 + 1.59009i
\(389\) 4.76924 + 1.73586i 0.241810 + 0.0880117i 0.460082 0.887876i \(-0.347820\pi\)
−0.218272 + 0.975888i \(0.570042\pi\)
\(390\) −50.0014 + 17.9994i −2.53192 + 0.911433i
\(391\) 21.4896 7.82157i 1.08678 0.395554i
\(392\) −3.90861 + 7.52545i −0.197414 + 0.380093i
\(393\) −6.66280 5.63095i −0.336094 0.284044i
\(394\) −13.5888 + 11.4024i −0.684595 + 0.574443i
\(395\) 0.224639 + 0.389087i 0.0113028 + 0.0195771i
\(396\) −5.56457 9.79722i −0.279630 0.492329i
\(397\) 6.93068 12.0043i 0.347841 0.602478i −0.638025 0.770016i \(-0.720248\pi\)
0.985866 + 0.167538i \(0.0535817\pi\)
\(398\) −0.0579688 + 0.0486416i −0.00290572 + 0.00243818i
\(399\) 27.0064 0.506473i 1.35201 0.0253554i
\(400\) −0.181950 + 1.03189i −0.00909752 + 0.0515946i
\(401\) −0.514490 + 2.91782i −0.0256924 + 0.145709i −0.994955 0.100318i \(-0.968014\pi\)
0.969263 + 0.246027i \(0.0791251\pi\)
\(402\) 11.2455 19.3199i 0.560873 0.963589i
\(403\) −29.2916 + 24.5786i −1.45912 + 1.22435i
\(404\) −12.4128 21.4997i −0.617562 1.06965i
\(405\) −3.92642 + 20.5653i −0.195105 + 1.02190i
\(406\) −11.2209 8.99716i −0.556885 0.446522i
\(407\) −0.516029 0.187819i −0.0255786 0.00930984i
\(408\) −6.58503 11.4992i −0.326008 0.569294i
\(409\) −5.65537 + 2.05839i −0.279640 + 0.101781i −0.478033 0.878342i \(-0.658650\pi\)
0.198393 + 0.980123i \(0.436428\pi\)
\(410\) 27.1704 + 22.7986i 1.34185 + 1.12594i
\(411\) −2.52285 14.6092i −0.124443 0.720618i
\(412\) −3.36694 + 2.82520i −0.165877 + 0.139187i
\(413\) −8.31888 + 3.23949i −0.409345 + 0.159405i
\(414\) −11.4654 20.1865i −0.563495 0.992113i
\(415\) 24.4744 1.20140
\(416\) 45.5919 + 16.5941i 2.23532 + 0.813592i
\(417\) 18.3777 6.61556i 0.899961 0.323966i
\(418\) 14.1185 + 11.8468i 0.690557 + 0.579446i
\(419\) −7.39201 + 2.69047i −0.361123 + 0.131438i −0.516209 0.856463i \(-0.672657\pi\)
0.155085 + 0.987901i \(0.450435\pi\)
\(420\) 25.8849 + 8.87530i 1.26305 + 0.433070i
\(421\) 0.794417 + 4.50536i 0.0387175 + 0.219578i 0.998028 0.0627768i \(-0.0199956\pi\)
−0.959310 + 0.282355i \(0.908885\pi\)
\(422\) 2.12921 0.103648
\(423\) −3.79822 22.4672i −0.184676 1.09239i
\(424\) 1.25310 0.0608558
\(425\) 2.44340 + 0.889325i 0.118522 + 0.0431386i
\(426\) 21.0312 17.5211i 1.01896 0.848901i
\(427\) −11.6134 + 10.1942i −0.562011 + 0.493333i
\(428\) 6.05318 + 5.07922i 0.292591 + 0.245513i
\(429\) 7.86809 13.5175i 0.379875 0.652631i
\(430\) −2.70671 + 2.27120i −0.130529 + 0.109527i
\(431\) −7.55944 + 13.0933i −0.364126 + 0.630684i −0.988635 0.150333i \(-0.951965\pi\)
0.624510 + 0.781017i \(0.285299\pi\)
\(432\) 10.2194 8.39229i 0.491682 0.403774i
\(433\) 23.9348 1.15024 0.575118 0.818071i \(-0.304956\pi\)
0.575118 + 0.818071i \(0.304956\pi\)
\(434\) 35.0217 0.780476i 1.68109 0.0374641i
\(435\) −5.15609 + 8.85825i −0.247216 + 0.424721i
\(436\) 0.723943 4.10568i 0.0346706 0.196627i
\(437\) 16.3505 + 13.7197i 0.782151 + 0.656303i
\(438\) −23.5231 8.65586i −1.12398 0.413593i
\(439\) −12.4086 4.51635i −0.592229 0.215554i 0.0284806 0.999594i \(-0.490933\pi\)
−0.620709 + 0.784041i \(0.713155\pi\)
\(440\) 2.06169 + 3.57096i 0.0982874 + 0.170239i
\(441\) −9.81072 + 18.5674i −0.467177 + 0.884164i
\(442\) 41.6467 72.1342i 1.98093 3.43107i
\(443\) −24.7912 + 20.8023i −1.17787 + 0.988346i −0.177874 + 0.984053i \(0.556922\pi\)
−0.999991 + 0.00429310i \(0.998633\pi\)
\(444\) −0.295555 + 1.64225i −0.0140264 + 0.0779380i
\(445\) −1.18023 + 6.69340i −0.0559481 + 0.317298i
\(446\) 29.9213 + 25.1069i 1.41681 + 1.18885i
\(447\) −23.0304 + 8.29043i −1.08930 + 0.392124i
\(448\) −16.0850 26.4795i −0.759945 1.25104i
\(449\) 8.34855 14.4601i 0.393992 0.682415i −0.598980 0.800764i \(-0.704427\pi\)
0.992972 + 0.118349i \(0.0377603\pi\)
\(450\) 0.476707 2.59622i 0.0224722 0.122387i
\(451\) −10.4389 −0.491549
\(452\) −0.997790 5.65875i −0.0469321 0.266165i
\(453\) 21.1118 17.5883i 0.991919 0.826370i
\(454\) 1.95398 11.0816i 0.0917047 0.520083i
\(455\) 7.42797 + 37.2524i 0.348229 + 1.74642i
\(456\) 6.22163 10.6889i 0.291354 0.500551i
\(457\) 0.0143321 + 0.0812812i 0.000670426 + 0.00380217i 0.985141 0.171747i \(-0.0549411\pi\)
−0.984471 + 0.175549i \(0.943830\pi\)
\(458\) −3.82601 + 6.62685i −0.178778 + 0.309652i
\(459\) −16.1059 28.5913i −0.751759 1.33453i
\(460\) 10.8115 + 18.7261i 0.504089 + 0.873108i
\(461\) 33.5842 + 12.2237i 1.56417 + 0.569312i 0.971688 0.236269i \(-0.0759247\pi\)
0.592485 + 0.805581i \(0.298147\pi\)
\(462\) −13.3704 + 5.15235i −0.622048 + 0.239709i
\(463\) −17.9836 15.0900i −0.835768 0.701292i 0.120840 0.992672i \(-0.461441\pi\)
−0.956607 + 0.291380i \(0.905886\pi\)
\(464\) 6.08325 2.21412i 0.282408 0.102788i
\(465\) −4.24814 24.5999i −0.197003 1.14079i
\(466\) 0.530907 + 3.01092i 0.0245938 + 0.139478i
\(467\) 7.82703 13.5568i 0.362192 0.627334i −0.626130 0.779719i \(-0.715362\pi\)
0.988321 + 0.152385i \(0.0486953\pi\)
\(468\) −44.5437 16.5697i −2.05903 0.765933i
\(469\) −12.4662 9.99566i −0.575636 0.461557i
\(470\) 6.55685 + 37.1857i 0.302445 + 1.71525i
\(471\) 2.23879 0.805914i 0.103158 0.0371345i
\(472\) −0.709807 + 4.02552i −0.0326715 + 0.185289i
\(473\) 0.180581 1.02412i 0.00830311 0.0470893i
\(474\) −0.126618 + 0.703552i −0.00581574 + 0.0323152i
\(475\) 0.421419 + 2.38998i 0.0193360 + 0.109660i
\(476\) −39.9662 + 15.5634i −1.83185 + 0.713347i
\(477\) 3.10313 + 0.0219097i 0.142082 + 0.00100318i
\(478\) −14.1232 + 24.4621i −0.645980 + 1.11887i
\(479\) −0.769741 4.36542i −0.0351704 0.199461i 0.962160 0.272486i \(-0.0878459\pi\)
−0.997330 + 0.0730249i \(0.976735\pi\)
\(480\) −24.3368 + 20.2750i −1.11082 + 0.925423i
\(481\) −2.17664 + 0.792231i −0.0992461 + 0.0361226i
\(482\) −47.5692 39.9153i −2.16672 1.81809i
\(483\) −15.4842 + 5.96690i −0.704555 + 0.271503i
\(484\) 21.3690 + 7.77767i 0.971316 + 0.353530i
\(485\) −16.3886 28.3858i −0.744166 1.28893i
\(486\) −25.8931 + 20.9594i −1.17454 + 0.950737i
\(487\) −2.36648 + 4.09887i −0.107236 + 0.185737i −0.914649 0.404248i \(-0.867533\pi\)
0.807414 + 0.589986i \(0.200867\pi\)
\(488\) 1.22865 + 6.96800i 0.0556182 + 0.315427i
\(489\) −28.2371 0.0996832i −1.27693 0.00450783i
\(490\) 16.0400 30.8826i 0.724613 1.39514i
\(491\) 5.47411 31.0452i 0.247043 1.40105i −0.568656 0.822575i \(-0.692536\pi\)
0.815699 0.578476i \(-0.196352\pi\)
\(492\) 5.39776 + 31.2570i 0.243350 + 1.40918i
\(493\) −2.78963 15.8208i −0.125638 0.712531i
\(494\) 77.7402 3.49770
\(495\) 5.04307 + 8.87905i 0.226669 + 0.399084i
\(496\) −7.88367 + 13.6549i −0.353987 + 0.613124i
\(497\) −10.1582 16.7227i −0.455658 0.750114i
\(498\) 29.7424 + 25.1363i 1.33279 + 1.12638i
\(499\) −7.99879 6.71178i −0.358075 0.300461i 0.445948 0.895059i \(-0.352867\pi\)
−0.804023 + 0.594598i \(0.797311\pi\)
\(500\) 4.75764 26.9819i 0.212768 1.20667i
\(501\) 14.7551 + 12.4701i 0.659211 + 0.557121i
\(502\) −8.45406 + 7.09380i −0.377323 + 0.316612i
\(503\) 17.1453 29.6965i 0.764470 1.32410i −0.176057 0.984380i \(-0.556334\pi\)
0.940526 0.339720i \(-0.110332\pi\)
\(504\) 4.93387 + 8.25301i 0.219772 + 0.367618i
\(505\) 11.2495 + 19.4848i 0.500598 + 0.867061i
\(506\) −10.6397 3.87254i −0.472993 0.172155i
\(507\) −7.39500 42.8226i −0.328423 1.90182i
\(508\) 39.0396 + 32.7581i 1.73210 + 1.45341i
\(509\) −5.41332 + 30.7005i −0.239941 + 1.36077i 0.592012 + 0.805929i \(0.298334\pi\)
−0.831953 + 0.554846i \(0.812777\pi\)
\(510\) 27.0234 + 47.1898i 1.19662 + 2.08960i
\(511\) −8.61023 + 15.7117i −0.380894 + 0.695045i
\(512\) 26.1724 1.15667
\(513\) 15.5939 26.3607i 0.688488 1.16386i
\(514\) 31.7117 54.9263i 1.39874 2.42270i
\(515\) 3.05140 2.56043i 0.134461 0.112826i
\(516\) −3.15990 0.0111551i −0.139107 0.000491077i
\(517\) −8.51319 7.14341i −0.374410 0.314167i
\(518\) 2.00975 + 0.681176i 0.0883034 + 0.0299291i
\(519\) −3.62305 20.9802i −0.159034 0.920926i
\(520\) 16.3438 + 5.94864i 0.716722 + 0.260865i
\(521\) 6.87522 0.301209 0.150604 0.988594i \(-0.451878\pi\)
0.150604 + 0.988594i \(0.451878\pi\)
\(522\) −15.3638 + 5.46942i −0.672454 + 0.239390i
\(523\) −34.3434 −1.50173 −0.750865 0.660456i \(-0.770363\pi\)
−0.750865 + 0.660456i \(0.770363\pi\)
\(524\) 2.24496 + 12.7318i 0.0980713 + 0.556190i
\(525\) −1.78478 0.611957i −0.0778940 0.0267080i
\(526\) 53.0435 19.3063i 2.31281 0.841793i
\(527\) 29.9735 + 25.1508i 1.30567 + 1.09559i
\(528\) 1.14235 6.34749i 0.0497145 0.276239i
\(529\) 9.29113 + 3.38170i 0.403962 + 0.147030i
\(530\) −5.14241 −0.223372
\(531\) −1.82813 + 9.95625i −0.0793340 + 0.432064i
\(532\) −31.2305 25.0413i −1.35401 1.08568i
\(533\) −33.7303 + 28.3031i −1.46102 + 1.22594i
\(534\) −8.30870 + 6.92199i −0.359553 + 0.299544i
\(535\) −5.48589 4.60321i −0.237176 0.199014i
\(536\) −6.87502 + 2.50230i −0.296956 + 0.108083i
\(537\) 36.2507 + 0.127973i 1.56433 + 0.00552243i
\(538\) 16.7741 + 6.10528i 0.723184 + 0.263217i
\(539\) 2.22610 + 9.99725i 0.0958848 + 0.430612i
\(540\) 23.9787 19.6916i 1.03188 0.847391i
\(541\) 20.9638 + 36.3104i 0.901306 + 1.56111i 0.825800 + 0.563963i \(0.190724\pi\)
0.0755060 + 0.997145i \(0.475943\pi\)
\(542\) −38.1931 + 32.0478i −1.64053 + 1.37657i
\(543\) 35.7895 + 0.126345i 1.53588 + 0.00542197i
\(544\) 8.62118 48.8932i 0.369630 2.09628i
\(545\) −0.656097 + 3.72091i −0.0281041 + 0.159386i
\(546\) −29.2331 + 52.8997i −1.25106 + 2.26390i
\(547\) −9.91952 + 8.32346i −0.424128 + 0.355886i −0.829731 0.558164i \(-0.811506\pi\)
0.405603 + 0.914049i \(0.367062\pi\)
\(548\) −10.9855 + 19.0275i −0.469279 + 0.812814i
\(549\) 2.92075 + 17.2768i 0.124654 + 0.737356i
\(550\) −0.643696 1.11491i −0.0274473 0.0475401i
\(551\) 11.4859 9.63781i 0.489315 0.410584i
\(552\) −1.34579 + 7.47788i −0.0572805 + 0.318280i
\(553\) 0.483931 + 0.164021i 0.0205788 + 0.00697490i
\(554\) −43.8253 + 15.9511i −1.86196 + 0.677698i
\(555\) 0.267857 1.48835i 0.0113699 0.0631768i
\(556\) −27.2007 9.90025i −1.15357 0.419864i
\(557\) −5.97287 10.3453i −0.253079 0.438345i 0.711293 0.702895i \(-0.248110\pi\)
−0.964372 + 0.264550i \(0.914777\pi\)
\(558\) 20.1027 34.2580i 0.851016 1.45026i
\(559\) −2.19323 3.79878i −0.0927636 0.160671i
\(560\) 8.13204 + 13.3871i 0.343641 + 0.565710i
\(561\) −15.0202 5.52701i −0.634151 0.233351i
\(562\) −53.9223 + 19.6261i −2.27457 + 0.827877i
\(563\) 32.0705 11.6727i 1.35161 0.491946i 0.438160 0.898897i \(-0.355630\pi\)
0.913450 + 0.406951i \(0.133408\pi\)
\(564\) −16.9874 + 29.1846i −0.715299 + 1.22889i
\(565\) 0.904280 + 5.12843i 0.0380433 + 0.215754i
\(566\) −27.8020 −1.16861
\(567\) 12.0738 + 20.5237i 0.507051 + 0.861916i
\(568\) −8.95887 −0.375906
\(569\) −6.21554 35.2501i −0.260569 1.47776i −0.781362 0.624077i \(-0.785475\pi\)
0.520793 0.853683i \(-0.325636\pi\)
\(570\) −25.5321 + 43.8645i −1.06942 + 1.83728i
\(571\) −10.8944 + 3.96523i −0.455916 + 0.165940i −0.559762 0.828654i \(-0.689107\pi\)
0.103846 + 0.994593i \(0.466885\pi\)
\(572\) −21.7813 + 7.92775i −0.910722 + 0.331476i
\(573\) 21.8269 + 8.03173i 0.911833 + 0.335530i
\(574\) 40.3287 0.898747i 1.68329 0.0375130i
\(575\) −0.745460 1.29118i −0.0310878 0.0538457i
\(576\) −35.1295 0.248033i −1.46373 0.0103347i
\(577\) 17.5190 + 30.3437i 0.729324 + 1.26323i 0.957169 + 0.289529i \(0.0934985\pi\)
−0.227846 + 0.973697i \(0.573168\pi\)
\(578\) −45.9540 16.7259i −1.91143 0.695705i
\(579\) −4.67355 + 25.9686i −0.194226 + 1.07922i
\(580\) 14.2737 5.19519i 0.592682 0.215719i
\(581\) 20.9190 18.3627i 0.867865 0.761812i
\(582\) 9.23739 51.3276i 0.382902 2.12760i
\(583\) 1.15940 0.972854i 0.0480175 0.0402915i
\(584\) 4.10171 + 7.10436i 0.169730 + 0.293981i
\(585\) 40.3692 + 15.0168i 1.66906 + 0.620868i
\(586\) 23.1499 40.0967i 0.956312 1.65638i
\(587\) −1.35689 + 1.13856i −0.0560047 + 0.0469935i −0.670360 0.742036i \(-0.733860\pi\)
0.614356 + 0.789029i \(0.289416\pi\)
\(588\) 28.7836 11.8350i 1.18701 0.488066i
\(589\) −6.34146 + 35.9642i −0.261295 + 1.48188i
\(590\) 2.91288 16.5198i 0.119921 0.680108i
\(591\) 14.3773 + 0.0507548i 0.591401 + 0.00208778i
\(592\) −0.731684 + 0.613955i −0.0300720 + 0.0252334i
\(593\) 9.36976 + 16.2289i 0.384770 + 0.666441i 0.991737 0.128286i \(-0.0409475\pi\)
−0.606967 + 0.794727i \(0.707614\pi\)
\(594\) −2.99061 + 15.9697i −0.122706 + 0.655246i
\(595\) 36.2206 14.1048i 1.48490 0.578242i
\(596\) 34.0872 + 12.4067i 1.39626 + 0.508199i
\(597\) 0.0613323 0.000216516i 0.00251016 8.86142e-6i
\(598\) −44.8789 + 16.3346i −1.83524 + 0.667971i
\(599\) −1.75555 1.47308i −0.0717297 0.0601883i 0.606218 0.795299i \(-0.292686\pi\)
−0.677948 + 0.735110i \(0.737130\pi\)
\(600\) −0.663747 + 0.552968i −0.0270973 + 0.0225748i
\(601\) 11.9327 10.0128i 0.486746 0.408429i −0.366112 0.930571i \(-0.619311\pi\)
0.852859 + 0.522142i \(0.174867\pi\)
\(602\) −0.609467 + 3.97206i −0.0248400 + 0.161889i
\(603\) −17.0688 + 6.07642i −0.695097 + 0.247451i
\(604\) −40.7224 −1.65697
\(605\) −19.3663 7.04876i −0.787353 0.286573i
\(606\) −6.34079 + 35.2326i −0.257577 + 1.43123i
\(607\) −5.53515 4.64454i −0.224665 0.188516i 0.523507 0.852022i \(-0.324623\pi\)
−0.748171 + 0.663505i \(0.769068\pi\)
\(608\) 43.5429 15.8483i 1.76590 0.642735i
\(609\) 2.23912 + 11.4399i 0.0907336 + 0.463570i
\(610\) −5.04207 28.5950i −0.204148 1.15778i
\(611\) −46.8760 −1.89640
\(612\) −8.78282 + 47.8325i −0.355025 + 1.93352i
\(613\) 24.6669 0.996285 0.498143 0.867095i \(-0.334016\pi\)
0.498143 + 0.867095i \(0.334016\pi\)
\(614\) 10.7209 + 3.90210i 0.432661 + 0.157476i
\(615\) −4.89189 28.3277i −0.197260 1.14228i
\(616\) 4.44142 + 1.50535i 0.178950 + 0.0606525i
\(617\) 17.0382 + 14.2967i 0.685931 + 0.575564i 0.917733 0.397199i \(-0.130018\pi\)
−0.231802 + 0.972763i \(0.574462\pi\)
\(618\) 6.33788 + 0.0223741i 0.254947 + 0.000900018i
\(619\) 23.2093 19.4749i 0.932860 0.782762i −0.0434687 0.999055i \(-0.513841\pi\)
0.976329 + 0.216292i \(0.0693964\pi\)
\(620\) −18.4982 + 32.0397i −0.742904 + 1.28675i
\(621\) −3.46341 + 18.4944i −0.138982 + 0.742156i
\(622\) −32.4580 −1.30145
\(623\) 4.01316 + 6.60655i 0.160784 + 0.264686i
\(624\) −13.5188 23.6074i −0.541187 0.945052i
\(625\) −4.66925 + 26.4806i −0.186770 + 1.05922i
\(626\) −12.3589 10.3704i −0.493963 0.414484i
\(627\) −2.54196 14.7199i −0.101516 0.587855i
\(628\) −3.31361 1.20606i −0.132228 0.0481269i
\(629\) 1.18513 + 2.05270i 0.0472542 + 0.0818466i
\(630\) −20.2474 33.8684i −0.806677 1.34935i
\(631\) −5.86210 + 10.1534i −0.233366 + 0.404202i −0.958797 0.284093i \(-0.908307\pi\)
0.725430 + 0.688296i \(0.241641\pi\)
\(632\) 0.179224 0.150387i 0.00712917 0.00598208i
\(633\) −1.31805 1.11393i −0.0523879 0.0442748i
\(634\) 1.43522 8.13954i 0.0569999 0.323263i
\(635\) −35.3809 29.6881i −1.40405 1.17814i
\(636\) −3.51251 2.96854i −0.139280 0.117710i
\(637\) 34.2987 + 26.2676i 1.35896 + 1.04076i
\(638\) −3.97693 + 6.88824i −0.157448 + 0.272708i
\(639\) −22.1855 0.156641i −0.877643 0.00619662i
\(640\) 21.6396 0.855379
\(641\) 6.21595 + 35.2524i 0.245515 + 1.39239i 0.819293 + 0.573375i \(0.194366\pi\)
−0.573778 + 0.819011i \(0.694523\pi\)
\(642\) −1.93901 11.2283i −0.0765265 0.443146i
\(643\) 3.10936 17.6340i 0.122621 0.695419i −0.860071 0.510174i \(-0.829581\pi\)
0.982692 0.185245i \(-0.0593078\pi\)
\(644\) 23.2908 + 7.89407i 0.917785 + 0.311070i
\(645\) 2.86376 + 0.0101097i 0.112760 + 0.000398069i
\(646\) −13.8137 78.3416i −0.543494 3.08231i
\(647\) 9.02096 15.6248i 0.354651 0.614273i −0.632407 0.774636i \(-0.717933\pi\)
0.987058 + 0.160363i \(0.0512665\pi\)
\(648\) 10.9017 + 0.153951i 0.428260 + 0.00604777i
\(649\) 2.46851 + 4.27559i 0.0968976 + 0.167832i
\(650\) −5.10280 1.85727i −0.200148 0.0728480i
\(651\) −22.0879 17.8390i −0.865693 0.699165i
\(652\) 32.0569 + 26.8989i 1.25544 + 1.05344i
\(653\) −1.36691 + 0.497513i −0.0534912 + 0.0194692i −0.368627 0.929577i \(-0.620172\pi\)
0.315136 + 0.949047i \(0.397950\pi\)
\(654\) −4.61887 + 3.84799i −0.180612 + 0.150468i
\(655\) −2.03456 11.5386i −0.0794970 0.450850i
\(656\) −9.07833 + 15.7241i −0.354449 + 0.613924i
\(657\) 10.0331 + 17.6647i 0.391429 + 0.689167i
\(658\) 33.5041 + 26.8643i 1.30613 + 1.04728i
\(659\) −6.17337 35.0109i −0.240480 1.36383i −0.830759 0.556632i \(-0.812093\pi\)
0.590278 0.807200i \(-0.299018\pi\)
\(660\) 2.68040 14.8937i 0.104335 0.579736i
\(661\) 4.28997 24.3296i 0.166861 0.946313i −0.780265 0.625449i \(-0.784916\pi\)
0.947125 0.320864i \(-0.103973\pi\)
\(662\) 5.11071 28.9843i 0.198633 1.12651i
\(663\) −63.5188 + 22.8654i −2.46687 + 0.888017i
\(664\) −2.21314 12.5513i −0.0858865 0.487087i
\(665\) 28.3037 + 22.6944i 1.09757 + 0.880053i
\(666\) 1.85411 1.53361i 0.0718455 0.0594262i
\(667\) −4.60566 + 7.97723i −0.178332 + 0.308880i
\(668\) −4.97158 28.1952i −0.192356 1.09091i
\(669\) −5.38718 31.1958i −0.208280 1.20610i
\(670\) 28.2135 10.2689i 1.08998 0.396721i
\(671\) 6.54645 + 5.49313i 0.252723 + 0.212060i
\(672\) −5.58940 + 35.5891i −0.215616 + 1.37288i
\(673\) −0.751164 0.273401i −0.0289552 0.0105388i 0.327502 0.944851i \(-0.393793\pi\)
−0.356457 + 0.934312i \(0.616015\pi\)
\(674\) −5.77190 9.99722i −0.222325 0.385079i
\(675\) −1.65335 + 1.35775i −0.0636374 + 0.0522597i
\(676\) −32.2009 + 55.7735i −1.23849 + 2.14514i
\(677\) −2.34890 13.3213i −0.0902756 0.511979i −0.996093 0.0883102i \(-0.971853\pi\)
0.905817 0.423668i \(-0.139258\pi\)
\(678\) −4.16821 + 7.16105i −0.160079 + 0.275018i
\(679\) −35.3052 11.9662i −1.35489 0.459220i
\(680\) 3.09052 17.5272i 0.118516 0.672138i
\(681\) −7.00706 + 5.83760i −0.268511 + 0.223697i
\(682\) −3.36400 19.0782i −0.128814 0.730543i
\(683\) −50.1795 −1.92006 −0.960032 0.279889i \(-0.909702\pi\)
−0.960032 + 0.279889i \(0.909702\pi\)
\(684\) −42.7611 + 15.2227i −1.63501 + 0.582055i
\(685\) 9.95599 17.2443i 0.380399 0.658870i
\(686\) −9.46084 38.4308i −0.361216 1.46730i
\(687\) 5.83537 2.10060i 0.222633 0.0801429i
\(688\) −1.38560 1.16265i −0.0528254 0.0443257i
\(689\) 1.10857 6.28700i 0.0422331 0.239516i
\(690\) 5.52279 30.6874i 0.210249 1.16825i
\(691\) 22.9191 19.2314i 0.871884 0.731597i −0.0926102 0.995702i \(-0.529521\pi\)
0.964494 + 0.264105i \(0.0850766\pi\)
\(692\) −15.7762 + 27.3252i −0.599723 + 1.03875i
\(693\) 10.9723 + 3.80547i 0.416802 + 0.144558i
\(694\) 10.6107 + 18.3782i 0.402775 + 0.697627i
\(695\) 24.6515 + 8.97242i 0.935086 + 0.340343i
\(696\) 5.00908 + 1.84321i 0.189869 + 0.0698667i
\(697\) 34.5156 + 28.9621i 1.30737 + 1.09702i
\(698\) −4.72884 + 26.8186i −0.178989 + 1.01510i
\(699\) 1.24656 2.14162i 0.0471493 0.0810033i
\(700\) 1.45169 + 2.38981i 0.0548688 + 0.0903262i
\(701\) 43.0198 1.62484 0.812418 0.583076i \(-0.198151\pi\)
0.812418 + 0.583076i \(0.198151\pi\)
\(702\) 33.6356 + 59.7101i 1.26949 + 2.25361i
\(703\) −1.10612 + 1.91585i −0.0417179 + 0.0722576i
\(704\) −13.1252 + 11.0134i −0.494675 + 0.415082i
\(705\) 15.3954 26.4495i 0.579824 0.996147i
\(706\) −25.5176 21.4118i −0.960367 0.805844i
\(707\) 24.2344 + 8.21389i 0.911428 + 0.308915i
\(708\) 11.5259 9.60226i 0.433171 0.360875i
\(709\) 0.592841 + 0.215777i 0.0222646 + 0.00810366i 0.353128 0.935575i \(-0.385118\pi\)
−0.330864 + 0.943679i \(0.607340\pi\)
\(710\) 36.7651 1.37977
\(711\) 0.446455 0.369280i 0.0167434 0.0138491i
\(712\) 3.53934 0.132642
\(713\) −3.89583 22.0944i −0.145900 0.827441i
\(714\) 58.5034 + 20.0594i 2.18943 + 0.750705i
\(715\) 19.7400 7.18478i 0.738235 0.268696i
\(716\) −41.1544 34.5327i −1.53801 1.29055i
\(717\) 21.5404 7.75408i 0.804443 0.289581i
\(718\) 29.9649 + 10.9063i 1.11828 + 0.407021i
\(719\) 24.1094 0.899128 0.449564 0.893248i \(-0.351579\pi\)
0.449564 + 0.893248i \(0.351579\pi\)
\(720\) 17.7603 + 0.125397i 0.661888 + 0.00467327i
\(721\) 0.687079 4.47788i 0.0255882 0.166765i
\(722\) 25.7721 21.6253i 0.959136 0.804811i
\(723\) 8.56461 + 49.5955i 0.318521 + 1.84448i
\(724\) −40.6309 34.0934i −1.51004 1.26707i
\(725\) −0.984178 + 0.358212i −0.0365515 + 0.0133036i
\(726\) −16.2955 28.4561i −0.604782 1.05611i
\(727\) 35.9584 + 13.0878i 1.33362 + 0.485399i 0.907798 0.419408i \(-0.137762\pi\)
0.425824 + 0.904806i \(0.359984\pi\)
\(728\) 18.4327 7.17795i 0.683160 0.266032i
\(729\) 26.9939 + 0.571850i 0.999776 + 0.0211796i
\(730\) −16.8324 29.1546i −0.622996 1.07906i
\(731\) −3.43845 + 2.88520i −0.127176 + 0.106713i
\(732\) 13.0629 22.4423i 0.482820 0.829493i
\(733\) −4.56217 + 25.8734i −0.168508 + 0.955654i 0.776866 + 0.629666i \(0.216808\pi\)
−0.945374 + 0.325989i \(0.894303\pi\)
\(734\) −3.92378 + 22.2529i −0.144829 + 0.821369i
\(735\) −26.0860 + 10.7258i −0.962198 + 0.395628i
\(736\) −21.8070 + 18.2983i −0.803818 + 0.674483i
\(737\) −4.41828 + 7.65269i −0.162750 + 0.281891i
\(738\) 23.1490 39.4494i 0.852127 1.45215i
\(739\) −15.9719 27.6642i −0.587536 1.01764i −0.994554 0.104222i \(-0.966765\pi\)
0.407018 0.913420i \(-0.366569\pi\)
\(740\) −1.71682 + 1.44058i −0.0631114 + 0.0529567i
\(741\) −48.1238 40.6710i −1.76787 1.49409i
\(742\) −4.39537 + 3.85826i −0.161359 + 0.141641i
\(743\) −29.0519 + 10.5740i −1.06581 + 0.387923i −0.814608 0.580012i \(-0.803048\pi\)
−0.251202 + 0.967935i \(0.580826\pi\)
\(744\) −12.2316 + 4.40310i −0.448432 + 0.161425i
\(745\) −30.8926 11.2440i −1.13182 0.411948i
\(746\) 25.6059 + 44.3507i 0.937499 + 1.62380i
\(747\) −5.26109 31.1204i −0.192493 1.13864i
\(748\) 11.8594 + 20.5411i 0.433623 + 0.751058i
\(749\) −8.14266 + 0.181463i −0.297526 + 0.00663053i
\(750\) −30.3545 + 25.2884i −1.10839 + 0.923401i
\(751\) −6.13940 + 2.23456i −0.224030 + 0.0815402i −0.451596 0.892222i \(-0.649145\pi\)
0.227567 + 0.973763i \(0.426923\pi\)
\(752\) −18.1637 + 6.61106i −0.662364 + 0.241081i
\(753\) 8.94457 + 0.0315763i 0.325958 + 0.00115070i
\(754\) 5.82586 + 33.0401i 0.212165 + 1.20325i
\(755\) 36.9060 1.34315
\(756\) 5.72110 34.8218i 0.208075 1.26646i
\(757\) −18.2609 −0.663705 −0.331852 0.943331i \(-0.607674\pi\)
−0.331852 + 0.943331i \(0.607674\pi\)
\(758\) −14.0167 79.4928i −0.509110 2.88731i
\(759\) 4.56036 + 7.96357i 0.165531 + 0.289059i
\(760\) 15.6093 5.68131i 0.566208 0.206083i
\(761\) −17.9032 + 6.51622i −0.648990 + 0.236213i −0.645476 0.763781i \(-0.723341\pi\)
−0.00351399 + 0.999994i \(0.501119\pi\)
\(762\) −12.5055 72.4163i −0.453027 2.62337i
\(763\) 2.23095 + 3.67263i 0.0807657 + 0.132958i
\(764\) −17.2338 29.8499i −0.623498 1.07993i
\(765\) 7.95972 43.3498i 0.287784 1.56732i
\(766\) −5.45797 9.45349i −0.197205 0.341568i
\(767\) 19.5688 + 7.12245i 0.706587 + 0.257177i
\(768\) −4.68498 3.95943i