Properties

Label 168.2.ba.c.5.11
Level $168$
Weight $2$
Character 168.5
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [168,2,Mod(5,168)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(168, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([0, 3, 3, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("168.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 168 = 2^{3} \cdot 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 168.ba (of order \(6\), degree \(2\), 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: \(1.34148675396\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.11
Character \(\chi\) \(=\) 168.5
Dual form 168.2.ba.c.101.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.174432 - 1.40341i) q^{2} +(1.09218 + 1.34430i) q^{3} +(-1.93915 + 0.489600i) q^{4} +(2.46958 + 1.42581i) q^{5} +(1.69610 - 1.76727i) q^{6} +(-1.02032 + 2.44110i) q^{7} +(1.02536 + 2.63603i) q^{8} +(-0.614290 + 2.93643i) q^{9} +O(q^{10})\) \(q+(-0.174432 - 1.40341i) q^{2} +(1.09218 + 1.34430i) q^{3} +(-1.93915 + 0.489600i) q^{4} +(2.46958 + 1.42581i) q^{5} +(1.69610 - 1.76727i) q^{6} +(-1.02032 + 2.44110i) q^{7} +(1.02536 + 2.63603i) q^{8} +(-0.614290 + 2.93643i) q^{9} +(1.57023 - 3.71455i) q^{10} +(-2.42621 - 4.20231i) q^{11} +(-2.77607 - 2.07207i) q^{12} +2.75221 q^{13} +(3.60385 + 1.00612i) q^{14} +(0.780502 + 4.87710i) q^{15} +(3.52058 - 1.89881i) q^{16} +(-1.75366 - 3.03743i) q^{17} +(4.22819 + 0.349896i) q^{18} +(3.14493 - 5.44717i) q^{19} +(-5.48696 - 1.55575i) q^{20} +(-4.39594 + 1.29450i) q^{21} +(-5.47438 + 4.13799i) q^{22} +(-3.15865 - 1.82365i) q^{23} +(-2.42373 + 4.25741i) q^{24} +(1.56588 + 2.71219i) q^{25} +(-0.480073 - 3.86249i) q^{26} +(-4.61837 + 2.38132i) q^{27} +(0.783383 - 5.23319i) q^{28} +3.90427 q^{29} +(6.70845 - 1.94609i) q^{30} +(-0.858051 + 0.495396i) q^{31} +(-3.27893 - 4.60963i) q^{32} +(2.99932 - 7.85123i) q^{33} +(-3.95689 + 2.99094i) q^{34} +(-6.00030 + 4.57370i) q^{35} +(-0.246481 - 5.99494i) q^{36} +(1.06516 + 0.614970i) q^{37} +(-8.19322 - 3.46348i) q^{38} +(3.00591 + 3.69980i) q^{39} +(-1.22627 + 7.97185i) q^{40} +2.10659 q^{41} +(2.58351 + 5.94352i) q^{42} +5.11768i q^{43} +(6.76223 + 6.96103i) q^{44} +(-5.70384 + 6.37590i) q^{45} +(-2.00837 + 4.75100i) q^{46} +(-5.61268 + 9.72145i) q^{47} +(6.39768 + 2.65888i) q^{48} +(-4.91791 - 4.98138i) q^{49} +(3.53319 - 2.67068i) q^{50} +(2.16791 - 5.67487i) q^{51} +(-5.33694 + 1.34748i) q^{52} +(-1.00417 - 1.73927i) q^{53} +(4.14757 + 6.06611i) q^{54} -13.8373i q^{55} +(-7.48099 - 0.186576i) q^{56} +(10.7575 - 1.72156i) q^{57} +(-0.681029 - 5.47932i) q^{58} +(-0.890996 + 0.514417i) q^{59} +(-3.90134 - 9.07528i) q^{60} +(1.24347 - 2.15376i) q^{61} +(0.844918 + 1.11779i) q^{62} +(-6.54135 - 4.49563i) q^{63} +(-5.89727 + 5.40576i) q^{64} +(6.79681 + 3.92414i) q^{65} +(-11.5417 - 2.83979i) q^{66} +(5.02777 - 2.90279i) q^{67} +(4.88774 + 5.03144i) q^{68} +(-0.998281 - 6.23793i) q^{69} +(7.46545 + 7.62311i) q^{70} -9.75277i q^{71} +(-8.37039 + 1.39162i) q^{72} +(0.291019 - 0.168020i) q^{73} +(0.677260 - 1.60213i) q^{74} +(-1.93577 + 5.06722i) q^{75} +(-3.43154 + 12.1026i) q^{76} +(12.7338 - 1.63491i) q^{77} +(4.66803 - 4.86390i) q^{78} +(-2.80082 + 4.85116i) q^{79} +(11.4017 + 0.330420i) q^{80} +(-8.24530 - 3.60764i) q^{81} +(-0.367457 - 2.95643i) q^{82} -0.138115i q^{83} +(7.89058 - 4.66248i) q^{84} -10.0016i q^{85} +(7.18223 - 0.892686i) q^{86} +(4.26417 + 5.24852i) q^{87} +(8.58967 - 10.7044i) q^{88} +(-0.580993 + 1.00631i) q^{89} +(9.94296 + 6.89270i) q^{90} +(-2.80813 + 6.71841i) q^{91} +(7.01795 + 1.98985i) q^{92} +(-1.60311 - 0.612418i) q^{93} +(14.6223 + 6.18119i) q^{94} +(15.5333 - 8.96815i) q^{95} +(2.61555 - 9.44240i) q^{96} -11.0953i q^{97} +(-6.13311 + 7.77078i) q^{98} +(13.8302 - 4.54296i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

\(n\) \(73\) \(85\) \(113\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.174432 1.40341i −0.123342 0.992364i
\(3\) 1.09218 + 1.34430i 0.630570 + 0.776132i
\(4\) −1.93915 + 0.489600i −0.969574 + 0.244800i
\(5\) 2.46958 + 1.42581i 1.10443 + 0.637643i 0.937381 0.348306i \(-0.113243\pi\)
0.167049 + 0.985949i \(0.446576\pi\)
\(6\) 1.69610 1.76727i 0.692430 0.721485i
\(7\) −1.02032 + 2.44110i −0.385643 + 0.922648i
\(8\) 1.02536 + 2.63603i 0.362520 + 0.931976i
\(9\) −0.614290 + 2.93643i −0.204763 + 0.978812i
\(10\) 1.57023 3.71455i 0.496552 1.17464i
\(11\) −2.42621 4.20231i −0.731529 1.26705i −0.956230 0.292617i \(-0.905474\pi\)
0.224701 0.974428i \(-0.427860\pi\)
\(12\) −2.77607 2.07207i −0.801381 0.598154i
\(13\) 2.75221 0.763326 0.381663 0.924302i \(-0.375351\pi\)
0.381663 + 0.924302i \(0.375351\pi\)
\(14\) 3.60385 + 1.00612i 0.963169 + 0.268898i
\(15\) 0.780502 + 4.87710i 0.201525 + 1.25926i
\(16\) 3.52058 1.89881i 0.880146 0.474703i
\(17\) −1.75366 3.03743i −0.425326 0.736686i 0.571125 0.820863i \(-0.306507\pi\)
−0.996451 + 0.0841773i \(0.973174\pi\)
\(18\) 4.22819 + 0.349896i 0.996593 + 0.0824713i
\(19\) 3.14493 5.44717i 0.721496 1.24967i −0.238905 0.971043i \(-0.576788\pi\)
0.960400 0.278624i \(-0.0898784\pi\)
\(20\) −5.48696 1.55575i −1.22692 0.347877i
\(21\) −4.39594 + 1.29450i −0.959272 + 0.282484i
\(22\) −5.47438 + 4.13799i −1.16714 + 0.882223i
\(23\) −3.15865 1.82365i −0.658624 0.380257i 0.133128 0.991099i \(-0.457498\pi\)
−0.791753 + 0.610842i \(0.790831\pi\)
\(24\) −2.42373 + 4.25741i −0.494743 + 0.869039i
\(25\) 1.56588 + 2.71219i 0.313177 + 0.542438i
\(26\) −0.480073 3.86249i −0.0941501 0.757498i
\(27\) −4.61837 + 2.38132i −0.888805 + 0.458286i
\(28\) 0.783383 5.23319i 0.148045 0.988981i
\(29\) 3.90427 0.725005 0.362503 0.931983i \(-0.381922\pi\)
0.362503 + 0.931983i \(0.381922\pi\)
\(30\) 6.70845 1.94609i 1.22479 0.355306i
\(31\) −0.858051 + 0.495396i −0.154111 + 0.0889758i −0.575072 0.818103i \(-0.695026\pi\)
0.420962 + 0.907078i \(0.361693\pi\)
\(32\) −3.27893 4.60963i −0.579638 0.814874i
\(33\) 2.99932 7.85123i 0.522115 1.36672i
\(34\) −3.95689 + 2.99094i −0.678600 + 0.512942i
\(35\) −6.00030 + 4.57370i −1.01424 + 0.773097i
\(36\) −0.246481 5.99494i −0.0410801 0.999156i
\(37\) 1.06516 + 0.614970i 0.175111 + 0.101100i 0.584994 0.811038i \(-0.301097\pi\)
−0.409883 + 0.912138i \(0.634430\pi\)
\(38\) −8.19322 3.46348i −1.32912 0.561850i
\(39\) 3.00591 + 3.69980i 0.481330 + 0.592442i
\(40\) −1.22627 + 7.97185i −0.193890 + 1.26046i
\(41\) 2.10659 0.328995 0.164497 0.986378i \(-0.447400\pi\)
0.164497 + 0.986378i \(0.447400\pi\)
\(42\) 2.58351 + 5.94352i 0.398645 + 0.917105i
\(43\) 5.11768i 0.780439i 0.920722 + 0.390220i \(0.127601\pi\)
−0.920722 + 0.390220i \(0.872399\pi\)
\(44\) 6.76223 + 6.96103i 1.01944 + 1.04942i
\(45\) −5.70384 + 6.37590i −0.850279 + 0.950463i
\(46\) −2.00837 + 4.75100i −0.296117 + 0.700497i
\(47\) −5.61268 + 9.72145i −0.818693 + 1.41802i 0.0879518 + 0.996125i \(0.471968\pi\)
−0.906645 + 0.421894i \(0.861365\pi\)
\(48\) 6.39768 + 2.65888i 0.923426 + 0.383776i
\(49\) −4.91791 4.98138i −0.702558 0.711626i
\(50\) 3.53319 2.67068i 0.499668 0.377691i
\(51\) 2.16791 5.67487i 0.303568 0.794641i
\(52\) −5.33694 + 1.34748i −0.740101 + 0.186862i
\(53\) −1.00417 1.73927i −0.137933 0.238907i 0.788781 0.614674i \(-0.210712\pi\)
−0.926714 + 0.375767i \(0.877379\pi\)
\(54\) 4.14757 + 6.06611i 0.564413 + 0.825492i
\(55\) 13.8373i 1.86582i
\(56\) −7.48099 0.186576i −0.999689 0.0249323i
\(57\) 10.7575 1.72156i 1.42486 0.228026i
\(58\) −0.681029 5.47932i −0.0894235 0.719469i
\(59\) −0.890996 + 0.514417i −0.115998 + 0.0669714i −0.556876 0.830595i \(-0.688000\pi\)
0.440879 + 0.897567i \(0.354667\pi\)
\(60\) −3.90134 9.07528i −0.503661 1.17161i
\(61\) 1.24347 2.15376i 0.159211 0.275761i −0.775374 0.631503i \(-0.782438\pi\)
0.934584 + 0.355742i \(0.115772\pi\)
\(62\) 0.844918 + 1.11779i 0.107305 + 0.141959i
\(63\) −6.54135 4.49563i −0.824133 0.566397i
\(64\) −5.89727 + 5.40576i −0.737159 + 0.675720i
\(65\) 6.79681 + 3.92414i 0.843040 + 0.486729i
\(66\) −11.5417 2.83979i −1.42069 0.349554i
\(67\) 5.02777 2.90279i 0.614240 0.354632i −0.160383 0.987055i \(-0.551273\pi\)
0.774623 + 0.632423i \(0.217940\pi\)
\(68\) 4.88774 + 5.03144i 0.592725 + 0.610151i
\(69\) −0.998281 6.23793i −0.120179 0.750958i
\(70\) 7.46545 + 7.62311i 0.892292 + 0.911136i
\(71\) 9.75277i 1.15744i −0.815526 0.578720i \(-0.803552\pi\)
0.815526 0.578720i \(-0.196448\pi\)
\(72\) −8.37039 + 1.39162i −0.986460 + 0.164004i
\(73\) 0.291019 0.168020i 0.0340612 0.0196652i −0.482873 0.875691i \(-0.660407\pi\)
0.516934 + 0.856025i \(0.327073\pi\)
\(74\) 0.677260 1.60213i 0.0787299 0.186244i
\(75\) −1.93577 + 5.06722i −0.223524 + 0.585112i
\(76\) −3.43154 + 12.1026i −0.393624 + 1.38827i
\(77\) 12.7338 1.63491i 1.45115 0.186316i
\(78\) 4.66803 4.86390i 0.528550 0.550728i
\(79\) −2.80082 + 4.85116i −0.315117 + 0.545798i −0.979462 0.201627i \(-0.935377\pi\)
0.664346 + 0.747426i \(0.268710\pi\)
\(80\) 11.4017 + 0.330420i 1.27475 + 0.0369421i
\(81\) −8.24530 3.60764i −0.916144 0.400849i
\(82\) −0.367457 2.95643i −0.0405788 0.326483i
\(83\) 0.138115i 0.0151600i −0.999971 0.00758002i \(-0.997587\pi\)
0.999971 0.00758002i \(-0.00241282\pi\)
\(84\) 7.89058 4.66248i 0.860933 0.508718i
\(85\) 10.0016i 1.08482i
\(86\) 7.18223 0.892686i 0.774480 0.0962609i
\(87\) 4.26417 + 5.24852i 0.457167 + 0.562700i
\(88\) 8.58967 10.7044i 0.915662 1.14110i
\(89\) −0.580993 + 1.00631i −0.0615852 + 0.106669i −0.895174 0.445717i \(-0.852949\pi\)
0.833589 + 0.552385i \(0.186282\pi\)
\(90\) 9.94296 + 6.89270i 1.04808 + 0.726554i
\(91\) −2.80813 + 6.71841i −0.294372 + 0.704281i
\(92\) 7.01795 + 1.98985i 0.731671 + 0.207456i
\(93\) −1.60311 0.612418i −0.166234 0.0635048i
\(94\) 14.6223 + 6.18119i 1.50817 + 0.637541i
\(95\) 15.5333 8.96815i 1.59368 0.920113i
\(96\) 2.61555 9.44240i 0.266949 0.963711i
\(97\) 11.0953i 1.12656i −0.826266 0.563280i \(-0.809539\pi\)
0.826266 0.563280i \(-0.190461\pi\)
\(98\) −6.13311 + 7.77078i −0.619538 + 0.784967i
\(99\) 13.8302 4.54296i 1.38999 0.456585i
\(100\) −4.36437 4.49268i −0.436437 0.449268i
\(101\) −6.16256 + 3.55796i −0.613198 + 0.354030i −0.774216 0.632922i \(-0.781856\pi\)
0.161018 + 0.986951i \(0.448522\pi\)
\(102\) −8.34235 2.05260i −0.826016 0.203238i
\(103\) 1.50519 + 0.869021i 0.148311 + 0.0856271i 0.572319 0.820031i \(-0.306044\pi\)
−0.424008 + 0.905658i \(0.639377\pi\)
\(104\) 2.82201 + 7.25490i 0.276721 + 0.711402i
\(105\) −12.7018 3.07091i −1.23957 0.299690i
\(106\) −2.26576 + 1.71265i −0.220070 + 0.166347i
\(107\) 0.532028 0.921500i 0.0514331 0.0890847i −0.839163 0.543881i \(-0.816954\pi\)
0.890596 + 0.454796i \(0.150288\pi\)
\(108\) 7.78980 6.87889i 0.749573 0.661921i
\(109\) −7.85874 + 4.53725i −0.752731 + 0.434589i −0.826680 0.562673i \(-0.809773\pi\)
0.0739489 + 0.997262i \(0.476440\pi\)
\(110\) −19.4194 + 2.41366i −1.85157 + 0.230133i
\(111\) 0.336640 + 2.10355i 0.0319524 + 0.199660i
\(112\) 1.04308 + 10.5315i 0.0985616 + 0.995131i
\(113\) 16.8126i 1.58159i 0.612078 + 0.790797i \(0.290334\pi\)
−0.612078 + 0.790797i \(0.709666\pi\)
\(114\) −4.29251 14.7969i −0.402030 1.38586i
\(115\) −5.20036 9.00729i −0.484936 0.839934i
\(116\) −7.57096 + 1.91153i −0.702946 + 0.177481i
\(117\) −1.69066 + 8.08169i −0.156301 + 0.747152i
\(118\) 0.877358 + 1.16071i 0.0807674 + 0.106852i
\(119\) 9.20396 1.18172i 0.843726 0.108328i
\(120\) −12.0559 + 7.05821i −1.10055 + 0.644324i
\(121\) −6.27296 + 10.8651i −0.570269 + 0.987735i
\(122\) −3.23952 1.36943i −0.293293 0.123982i
\(123\) 2.30078 + 2.83190i 0.207454 + 0.255343i
\(124\) 1.42134 1.38075i 0.127640 0.123995i
\(125\) 5.32750i 0.476506i
\(126\) −5.16822 + 9.96441i −0.460422 + 0.887700i
\(127\) 15.6371 1.38756 0.693782 0.720185i \(-0.255943\pi\)
0.693782 + 0.720185i \(0.255943\pi\)
\(128\) 8.61519 + 7.33338i 0.761483 + 0.648185i
\(129\) −6.87971 + 5.58943i −0.605724 + 0.492122i
\(130\) 4.32162 10.2232i 0.379031 0.896637i
\(131\) −8.73260 5.04177i −0.762971 0.440502i 0.0673904 0.997727i \(-0.478533\pi\)
−0.830361 + 0.557225i \(0.811866\pi\)
\(132\) −1.97216 + 16.6932i −0.171655 + 1.45295i
\(133\) 10.0883 + 13.2349i 0.874763 + 1.14761i
\(134\) −4.95082 6.54971i −0.427685 0.565809i
\(135\) −14.8007 0.704060i −1.27385 0.0605958i
\(136\) 6.20862 7.73717i 0.532384 0.663457i
\(137\) −17.0704 + 9.85557i −1.45842 + 0.842019i −0.998934 0.0461669i \(-0.985299\pi\)
−0.459485 + 0.888185i \(0.651966\pi\)
\(138\) −8.58027 + 2.48909i −0.730401 + 0.211886i
\(139\) −0.111832 −0.00948546 −0.00474273 0.999989i \(-0.501510\pi\)
−0.00474273 + 0.999989i \(0.501510\pi\)
\(140\) 9.39618 11.8068i 0.794122 0.997860i
\(141\) −19.1986 + 3.07243i −1.61681 + 0.258745i
\(142\) −13.6872 + 1.70119i −1.14860 + 0.142761i
\(143\) −6.67743 11.5657i −0.558395 0.967169i
\(144\) 3.41308 + 11.5044i 0.284424 + 0.958699i
\(145\) 9.64192 + 5.56676i 0.800718 + 0.462295i
\(146\) −0.286564 0.379112i −0.0237162 0.0313755i
\(147\) 1.32524 12.0517i 0.109304 0.994008i
\(148\) −2.36659 0.671015i −0.194532 0.0551571i
\(149\) −5.49834 + 9.52340i −0.450441 + 0.780187i −0.998413 0.0563094i \(-0.982067\pi\)
0.547972 + 0.836497i \(0.315400\pi\)
\(150\) 7.44907 + 1.83281i 0.608214 + 0.149648i
\(151\) 4.16727 + 7.21792i 0.339127 + 0.587386i 0.984269 0.176677i \(-0.0565349\pi\)
−0.645141 + 0.764063i \(0.723202\pi\)
\(152\) 17.5836 + 2.70479i 1.42622 + 0.219387i
\(153\) 9.99648 3.28365i 0.808168 0.265468i
\(154\) −4.51563 17.5856i −0.363880 1.41708i
\(155\) −2.82537 −0.226939
\(156\) −7.64032 5.70276i −0.611715 0.456587i
\(157\) −5.42198 9.39114i −0.432721 0.749495i 0.564386 0.825511i \(-0.309113\pi\)
−0.997107 + 0.0760165i \(0.975780\pi\)
\(158\) 7.29674 + 3.08451i 0.580498 + 0.245391i
\(159\) 1.24137 3.24949i 0.0984470 0.257702i
\(160\) −1.52510 16.0590i −0.120570 1.26957i
\(161\) 7.67452 5.84987i 0.604837 0.461035i
\(162\) −3.62478 + 12.2009i −0.284790 + 0.958590i
\(163\) 10.0621 + 5.80934i 0.788122 + 0.455022i 0.839301 0.543667i \(-0.182965\pi\)
−0.0511792 + 0.998689i \(0.516298\pi\)
\(164\) −4.08500 + 1.03139i −0.318985 + 0.0805379i
\(165\) 18.6014 15.1128i 1.44812 1.17653i
\(166\) −0.193832 + 0.0240916i −0.0150443 + 0.00186987i
\(167\) 7.75061 0.599761 0.299880 0.953977i \(-0.403053\pi\)
0.299880 + 0.953977i \(0.403053\pi\)
\(168\) −7.91976 10.2605i −0.611023 0.791613i
\(169\) −5.42533 −0.417333
\(170\) −14.0364 + 1.74459i −1.07654 + 0.133804i
\(171\) 14.0634 + 12.5810i 1.07545 + 0.962094i
\(172\) −2.50562 9.92394i −0.191052 0.756693i
\(173\) −0.880487 0.508349i −0.0669422 0.0386491i 0.466155 0.884703i \(-0.345639\pi\)
−0.533098 + 0.846054i \(0.678972\pi\)
\(174\) 6.62204 6.89990i 0.502016 0.523080i
\(175\) −8.21842 + 1.05518i −0.621254 + 0.0797642i
\(176\) −16.5211 10.1877i −1.24532 0.767925i
\(177\) −1.66466 0.635932i −0.125123 0.0477996i
\(178\) 1.51361 + 0.639843i 0.113450 + 0.0479582i
\(179\) 10.8103 + 18.7240i 0.808002 + 1.39950i 0.914246 + 0.405160i \(0.132784\pi\)
−0.106244 + 0.994340i \(0.533883\pi\)
\(180\) 7.93895 15.1564i 0.591734 1.12969i
\(181\) −9.37049 −0.696503 −0.348251 0.937401i \(-0.613224\pi\)
−0.348251 + 0.937401i \(0.613224\pi\)
\(182\) 9.91855 + 2.76906i 0.735212 + 0.205257i
\(183\) 4.25340 0.680689i 0.314420 0.0503180i
\(184\) 1.56843 10.1962i 0.115626 0.751673i
\(185\) 1.75366 + 3.03743i 0.128932 + 0.223317i
\(186\) −0.579844 + 2.35665i −0.0425162 + 0.172798i
\(187\) −8.50950 + 14.7389i −0.622276 + 1.07781i
\(188\) 6.12419 21.5993i 0.446652 1.57529i
\(189\) −1.10084 13.7036i −0.0800744 0.996789i
\(190\) −15.2955 20.2353i −1.10966 1.46803i
\(191\) −7.70657 4.44939i −0.557628 0.321947i 0.194565 0.980890i \(-0.437671\pi\)
−0.752193 + 0.658943i \(0.771004\pi\)
\(192\) −13.7078 2.02365i −0.989278 0.146044i
\(193\) 7.45779 + 12.9173i 0.536824 + 0.929806i 0.999073 + 0.0430556i \(0.0137093\pi\)
−0.462249 + 0.886750i \(0.652957\pi\)
\(194\) −15.5713 + 1.93538i −1.11796 + 0.138952i
\(195\) 2.14811 + 13.4228i 0.153829 + 0.961228i
\(196\) 11.9754 + 7.25183i 0.855388 + 0.517988i
\(197\) 2.74394 0.195497 0.0977487 0.995211i \(-0.468836\pi\)
0.0977487 + 0.995211i \(0.468836\pi\)
\(198\) −8.78808 18.6171i −0.624542 1.32306i
\(199\) −20.1826 + 11.6525i −1.43071 + 0.826021i −0.997175 0.0751162i \(-0.976067\pi\)
−0.433535 + 0.901137i \(0.642734\pi\)
\(200\) −5.54381 + 6.90869i −0.392007 + 0.488518i
\(201\) 9.39344 + 3.58848i 0.662562 + 0.253112i
\(202\) 6.06823 + 8.02801i 0.426959 + 0.564849i
\(203\) −3.98360 + 9.53071i −0.279594 + 0.668925i
\(204\) −1.42548 + 12.0658i −0.0998035 + 0.844776i
\(205\) 5.20240 + 3.00361i 0.363352 + 0.209781i
\(206\) 0.957044 2.26399i 0.0666804 0.157740i
\(207\) 7.29535 8.15492i 0.507062 0.566806i
\(208\) 9.68939 5.22594i 0.671838 0.362354i
\(209\) −30.5210 −2.11118
\(210\) −2.09415 + 18.3616i −0.144510 + 1.26707i
\(211\) 20.3918i 1.40383i −0.712259 0.701916i \(-0.752328\pi\)
0.712259 0.701916i \(-0.247672\pi\)
\(212\) 2.79877 + 2.88105i 0.192220 + 0.197872i
\(213\) 13.1107 10.6518i 0.898328 0.729847i
\(214\) −1.38605 0.585917i −0.0947484 0.0400525i
\(215\) −7.29686 + 12.6385i −0.497642 + 0.861941i
\(216\) −11.0127 9.73242i −0.749321 0.662207i
\(217\) −0.333826 2.60005i −0.0226616 0.176503i
\(218\) 7.73845 + 10.2376i 0.524114 + 0.693380i
\(219\) 0.543714 + 0.207709i 0.0367408 + 0.0140357i
\(220\) 6.77473 + 26.8325i 0.456752 + 1.80905i
\(221\) −4.82645 8.35966i −0.324662 0.562332i
\(222\) 2.89343 0.839371i 0.194195 0.0563349i
\(223\) 11.4666i 0.767860i 0.923362 + 0.383930i \(0.125430\pi\)
−0.923362 + 0.383930i \(0.874570\pi\)
\(224\) 14.5981 3.30090i 0.975376 0.220550i
\(225\) −8.92608 + 2.93204i −0.595072 + 0.195470i
\(226\) 23.5950 2.93265i 1.56952 0.195077i
\(227\) 18.3699 10.6059i 1.21926 0.703938i 0.254497 0.967073i \(-0.418090\pi\)
0.964759 + 0.263136i \(0.0847567\pi\)
\(228\) −20.0174 + 8.60521i −1.32569 + 0.569894i
\(229\) 1.13465 1.96528i 0.0749800 0.129869i −0.826098 0.563527i \(-0.809444\pi\)
0.901078 + 0.433658i \(0.142777\pi\)
\(230\) −11.7339 + 8.86942i −0.773707 + 0.584832i
\(231\) 16.1054 + 15.3324i 1.05965 + 1.00880i
\(232\) 4.00329 + 10.2918i 0.262829 + 0.675688i
\(233\) 22.5624 + 13.0264i 1.47811 + 0.853389i 0.999694 0.0247423i \(-0.00787651\pi\)
0.478420 + 0.878131i \(0.341210\pi\)
\(234\) 11.6369 + 0.962988i 0.760726 + 0.0629525i
\(235\) −27.7219 + 16.0053i −1.80838 + 1.04407i
\(236\) 1.47591 1.43376i 0.0960738 0.0933300i
\(237\) −9.58042 + 1.53319i −0.622315 + 0.0995916i
\(238\) −3.26390 12.7108i −0.211567 0.823922i
\(239\) 8.32874i 0.538742i −0.963037 0.269371i \(-0.913184\pi\)
0.963037 0.269371i \(-0.0868157\pi\)
\(240\) 12.0085 + 15.6882i 0.775147 + 1.01267i
\(241\) 6.24112 3.60331i 0.402026 0.232110i −0.285332 0.958429i \(-0.592104\pi\)
0.687358 + 0.726319i \(0.258771\pi\)
\(242\) 16.3424 + 6.90835i 1.05053 + 0.444085i
\(243\) −4.15558 15.0244i −0.266581 0.963813i
\(244\) −1.35680 + 4.78527i −0.0868601 + 0.306345i
\(245\) −5.04265 19.3139i −0.322163 1.23392i
\(246\) 3.57300 3.72292i 0.227806 0.237365i
\(247\) 8.65550 14.9918i 0.550736 0.953904i
\(248\) −2.18569 1.75389i −0.138791 0.111372i
\(249\) 0.185668 0.150846i 0.0117662 0.00955947i
\(250\) −7.47669 + 0.929285i −0.472867 + 0.0587731i
\(251\) 8.41270i 0.531005i −0.964110 0.265502i \(-0.914462\pi\)
0.964110 0.265502i \(-0.0855378\pi\)
\(252\) 14.8857 + 5.51505i 0.937711 + 0.347415i
\(253\) 17.6982i 1.11268i
\(254\) −2.72760 21.9453i −0.171145 1.37697i
\(255\) 13.4451 10.9235i 0.841967 0.684057i
\(256\) 8.78901 13.3699i 0.549313 0.835616i
\(257\) 15.1284 26.2032i 0.943685 1.63451i 0.185321 0.982678i \(-0.440668\pi\)
0.758364 0.651832i \(-0.225999\pi\)
\(258\) 9.04432 + 8.68011i 0.563075 + 0.540400i
\(259\) −2.58800 + 1.97269i −0.160810 + 0.122577i
\(260\) −15.1013 4.28176i −0.936541 0.265544i
\(261\) −2.39836 + 11.4646i −0.148454 + 0.709644i
\(262\) −5.55245 + 13.1349i −0.343032 + 0.811478i
\(263\) −20.9078 + 12.0711i −1.28923 + 0.744338i −0.978517 0.206166i \(-0.933901\pi\)
−0.310714 + 0.950504i \(0.600568\pi\)
\(264\) 23.7714 0.144056i 1.46303 0.00886604i
\(265\) 5.72701i 0.351808i
\(266\) 16.8144 16.4666i 1.03095 1.00963i
\(267\) −1.98733 + 0.318041i −0.121623 + 0.0194638i
\(268\) −8.32839 + 8.09053i −0.508737 + 0.494208i
\(269\) 17.4083 10.0507i 1.06140 0.612800i 0.135581 0.990766i \(-0.456710\pi\)
0.925819 + 0.377966i \(0.123377\pi\)
\(270\) 1.59363 + 20.8944i 0.0969853 + 1.27159i
\(271\) −1.57903 0.911656i −0.0959195 0.0553791i 0.451273 0.892386i \(-0.350970\pi\)
−0.547192 + 0.837007i \(0.684303\pi\)
\(272\) −11.9414 7.36366i −0.724056 0.446487i
\(273\) −12.0985 + 3.56274i −0.732237 + 0.215627i
\(274\) 16.8091 + 22.2377i 1.01547 + 1.34343i
\(275\) 7.59832 13.1607i 0.458196 0.793618i
\(276\) 4.98990 + 11.6075i 0.300357 + 0.698689i
\(277\) −11.4072 + 6.58598i −0.685395 + 0.395713i −0.801885 0.597479i \(-0.796169\pi\)
0.116490 + 0.993192i \(0.462836\pi\)
\(278\) 0.0195070 + 0.156947i 0.00116995 + 0.00941303i
\(279\) −0.927606 2.82393i −0.0555343 0.169064i
\(280\) −18.2089 11.1273i −1.08819 0.664981i
\(281\) 15.3821i 0.917618i −0.888535 0.458809i \(-0.848276\pi\)
0.888535 0.458809i \(-0.151724\pi\)
\(282\) 7.66074 + 26.4077i 0.456190 + 1.57255i
\(283\) −4.64882 8.05200i −0.276344 0.478641i 0.694129 0.719850i \(-0.255790\pi\)
−0.970473 + 0.241209i \(0.922456\pi\)
\(284\) 4.77496 + 18.9121i 0.283342 + 1.12222i
\(285\) 29.0210 + 11.0866i 1.71906 + 0.656713i
\(286\) −15.0667 + 11.3886i −0.890910 + 0.673424i
\(287\) −2.14939 + 5.14240i −0.126875 + 0.303546i
\(288\) 15.5501 6.79670i 0.916297 0.400500i
\(289\) 2.34933 4.06916i 0.138196 0.239362i
\(290\) 6.13062 14.5026i 0.360003 0.851624i
\(291\) 14.9154 12.1181i 0.874359 0.710374i
\(292\) −0.482066 + 0.468298i −0.0282108 + 0.0274051i
\(293\) 17.8462i 1.04258i 0.853378 + 0.521292i \(0.174550\pi\)
−0.853378 + 0.521292i \(0.825450\pi\)
\(294\) −17.1447 + 0.242334i −0.999900 + 0.0141332i
\(295\) −2.93385 −0.170815
\(296\) −0.528904 + 3.43835i −0.0307419 + 0.199850i
\(297\) 21.2122 + 13.6302i 1.23086 + 0.790907i
\(298\) 14.3244 + 6.05527i 0.829788 + 0.350772i
\(299\) −8.69327 5.01906i −0.502745 0.290260i
\(300\) 1.27284 10.7738i 0.0734875 0.622028i
\(301\) −12.4928 5.22166i −0.720071 0.300971i
\(302\) 9.40283 7.10744i 0.541072 0.408987i
\(303\) −11.5136 4.39841i −0.661438 0.252682i
\(304\) 0.728810 25.1489i 0.0418001 1.44239i
\(305\) 6.14172 3.54592i 0.351674 0.203039i
\(306\) −6.35203 13.4564i −0.363121 0.769253i
\(307\) 17.6654 1.00822 0.504110 0.863640i \(-0.331821\pi\)
0.504110 + 0.863640i \(0.331821\pi\)
\(308\) −23.8922 + 9.40479i −1.36138 + 0.535888i
\(309\) 0.475709 + 2.97255i 0.0270622 + 0.169103i
\(310\) 0.492834 + 3.96516i 0.0279911 + 0.225206i
\(311\) 4.15091 + 7.18958i 0.235376 + 0.407684i 0.959382 0.282110i \(-0.0910344\pi\)
−0.724006 + 0.689794i \(0.757701\pi\)
\(312\) −6.67063 + 11.7173i −0.377650 + 0.663360i
\(313\) −23.0954 13.3342i −1.30543 0.753691i −0.324101 0.946023i \(-0.605062\pi\)
−0.981330 + 0.192332i \(0.938395\pi\)
\(314\) −12.2339 + 9.24740i −0.690399 + 0.521861i
\(315\) −9.74446 20.4291i −0.549038 1.15105i
\(316\) 3.05607 10.7784i 0.171917 0.606332i
\(317\) −14.4097 + 24.9584i −0.809331 + 1.40180i 0.103996 + 0.994578i \(0.466837\pi\)
−0.913328 + 0.407225i \(0.866496\pi\)
\(318\) −4.77692 1.17534i −0.267876 0.0659099i
\(319\) −9.47258 16.4070i −0.530362 0.918615i
\(320\) −22.2714 + 4.94155i −1.24501 + 0.276241i
\(321\) 1.81984 0.291237i 0.101574 0.0162553i
\(322\) −9.54848 9.75014i −0.532116 0.543354i
\(323\) −22.0606 −1.22748
\(324\) 17.7551 + 2.95885i 0.986397 + 0.164381i
\(325\) 4.30964 + 7.46452i 0.239056 + 0.414057i
\(326\) 6.39776 15.1346i 0.354339 0.838227i
\(327\) −14.6826 5.60903i −0.811948 0.310180i
\(328\) 2.16002 + 5.55304i 0.119267 + 0.306615i
\(329\) −18.0043 23.6200i −0.992608 1.30222i
\(330\) −24.4542 23.4694i −1.34616 1.29195i
\(331\) 2.24514 + 1.29623i 0.123404 + 0.0712472i 0.560431 0.828201i \(-0.310635\pi\)
−0.437027 + 0.899448i \(0.643969\pi\)
\(332\) 0.0676209 + 0.267825i 0.00371118 + 0.0146988i
\(333\) −2.46013 + 2.75000i −0.134815 + 0.150699i
\(334\) −1.35195 10.8773i −0.0739756 0.595181i
\(335\) 16.5553 0.904513
\(336\) −13.0182 + 12.9045i −0.710203 + 0.703996i
\(337\) 11.1713 0.608541 0.304271 0.952586i \(-0.401587\pi\)
0.304271 + 0.952586i \(0.401587\pi\)
\(338\) 0.946350 + 7.61399i 0.0514747 + 0.414147i
\(339\) −22.6012 + 18.3623i −1.22753 + 0.997306i
\(340\) 4.89678 + 19.3945i 0.265565 + 1.05182i
\(341\) 4.16362 + 2.40387i 0.225473 + 0.130177i
\(342\) 15.2033 21.9313i 0.822100 1.18591i
\(343\) 17.1779 6.92250i 0.927517 0.373780i
\(344\) −13.4903 + 5.24747i −0.727351 + 0.282925i
\(345\) 6.42878 16.8284i 0.346114 0.906012i
\(346\) −0.559840 + 1.32436i −0.0300972 + 0.0711981i
\(347\) 7.23643 + 12.5339i 0.388472 + 0.672853i 0.992244 0.124304i \(-0.0396697\pi\)
−0.603772 + 0.797157i \(0.706336\pi\)
\(348\) −10.8385 8.08991i −0.581006 0.433665i
\(349\) 22.8018 1.22055 0.610275 0.792189i \(-0.291059\pi\)
0.610275 + 0.792189i \(0.291059\pi\)
\(350\) 2.91441 + 11.3498i 0.155782 + 0.606672i
\(351\) −12.7107 + 6.55390i −0.678448 + 0.349821i
\(352\) −11.4157 + 24.9630i −0.608461 + 1.33053i
\(353\) −2.06060 3.56907i −0.109675 0.189962i 0.805964 0.591965i \(-0.201648\pi\)
−0.915639 + 0.402003i \(0.868314\pi\)
\(354\) −0.602107 + 2.44713i −0.0320016 + 0.130064i
\(355\) 13.9056 24.0852i 0.738034 1.27831i
\(356\) 0.633942 2.23584i 0.0335989 0.118499i
\(357\) 11.6410 + 11.0822i 0.616105 + 0.586535i
\(358\) 24.3919 18.4374i 1.28915 0.974449i
\(359\) 9.83790 + 5.67992i 0.519225 + 0.299775i 0.736617 0.676310i \(-0.236422\pi\)
−0.217393 + 0.976084i \(0.569755\pi\)
\(360\) −22.6555 8.49788i −1.19405 0.447878i
\(361\) −10.2811 17.8074i −0.541112 0.937234i
\(362\) 1.63451 + 13.1507i 0.0859080 + 0.691185i
\(363\) −21.4571 + 3.43387i −1.12621 + 0.180232i
\(364\) 2.15603 14.4029i 0.113007 0.754915i
\(365\) 0.958259 0.0501576
\(366\) −1.69722 5.85055i −0.0887149 0.305813i
\(367\) 24.2527 14.0023i 1.26598 0.730914i 0.291755 0.956493i \(-0.405761\pi\)
0.974225 + 0.225580i \(0.0724275\pi\)
\(368\) −14.5831 0.422615i −0.760194 0.0220303i
\(369\) −1.29406 + 6.18587i −0.0673660 + 0.322024i
\(370\) 3.95689 2.99094i 0.205709 0.155492i
\(371\) 5.27029 0.676664i 0.273620 0.0351306i
\(372\) 3.40850 + 0.402687i 0.176723 + 0.0208783i
\(373\) −27.1273 15.6619i −1.40460 0.810944i −0.409737 0.912204i \(-0.634379\pi\)
−0.994860 + 0.101259i \(0.967713\pi\)
\(374\) 22.1691 + 9.37143i 1.14634 + 0.484585i
\(375\) 7.16176 5.81858i 0.369832 0.300470i
\(376\) −31.3810 4.82718i −1.61835 0.248943i
\(377\) 10.7454 0.553416
\(378\) −19.0398 + 3.93528i −0.979301 + 0.202409i
\(379\) 28.8128i 1.48001i 0.672600 + 0.740006i \(0.265178\pi\)
−0.672600 + 0.740006i \(0.734822\pi\)
\(380\) −25.7305 + 24.9957i −1.31995 + 1.28225i
\(381\) 17.0785 + 21.0209i 0.874956 + 1.07693i
\(382\) −4.90007 + 11.5916i −0.250710 + 0.593080i
\(383\) −12.6701 + 21.9453i −0.647413 + 1.12135i 0.336325 + 0.941746i \(0.390816\pi\)
−0.983738 + 0.179607i \(0.942517\pi\)
\(384\) −0.448937 + 19.5908i −0.0229097 + 0.999738i
\(385\) 33.7781 + 14.1184i 1.72149 + 0.719540i
\(386\) 16.8274 12.7196i 0.856493 0.647409i
\(387\) −15.0277 3.14374i −0.763903 0.159805i
\(388\) 5.43227 + 21.5155i 0.275782 + 1.09228i
\(389\) −2.20886 3.82586i −0.111994 0.193979i 0.804580 0.593844i \(-0.202390\pi\)
−0.916574 + 0.399865i \(0.869057\pi\)
\(390\) 18.4631 5.35605i 0.934914 0.271214i
\(391\) 12.7923i 0.646932i
\(392\) 8.08843 18.0715i 0.408527 0.912746i
\(393\) −2.75991 17.2458i −0.139219 0.869934i
\(394\) −0.478629 3.85088i −0.0241130 0.194005i
\(395\) −13.8337 + 7.98689i −0.696049 + 0.401864i
\(396\) −24.5946 + 15.5807i −1.23592 + 0.782962i
\(397\) 8.01775 13.8871i 0.402399 0.696976i −0.591616 0.806220i \(-0.701510\pi\)
0.994015 + 0.109244i \(0.0348430\pi\)
\(398\) 19.8737 + 26.2921i 0.996180 + 1.31790i
\(399\) −6.77352 + 28.0165i −0.339100 + 1.40258i
\(400\) 10.6628 + 6.57517i 0.533139 + 0.328759i
\(401\) −6.53545 3.77324i −0.326365 0.188427i 0.327861 0.944726i \(-0.393672\pi\)
−0.654226 + 0.756299i \(0.727006\pi\)
\(402\) 3.39761 13.8088i 0.169457 0.688723i
\(403\) −2.36154 + 1.36343i −0.117637 + 0.0679175i
\(404\) 10.2081 9.91659i 0.507874 0.493369i
\(405\) −15.2186 20.6656i −0.756218 1.02688i
\(406\) 14.0704 + 3.92818i 0.698303 + 0.194952i
\(407\) 5.96817i 0.295831i
\(408\) 17.1820 0.104124i 0.850636 0.00515490i
\(409\) −24.3612 + 14.0650i −1.20458 + 0.695467i −0.961571 0.274556i \(-0.911469\pi\)
−0.243013 + 0.970023i \(0.578136\pi\)
\(410\) 3.30784 7.82505i 0.163363 0.386452i
\(411\) −31.8927 12.1836i −1.57315 0.600975i
\(412\) −3.34425 0.948219i −0.164760 0.0467154i
\(413\) −0.346643 2.69988i −0.0170572 0.132852i
\(414\) −12.7173 8.81592i −0.625020 0.433279i
\(415\) 0.196926 0.341085i 0.00966670 0.0167432i
\(416\) −9.02429 12.6867i −0.442452 0.622015i
\(417\) −0.122140 0.150336i −0.00598125 0.00736197i
\(418\) 5.32383 + 42.8336i 0.260397 + 2.09506i
\(419\) 19.5661i 0.955866i −0.878396 0.477933i \(-0.841386\pi\)
0.878396 0.477933i \(-0.158614\pi\)
\(420\) 26.1342 0.263882i 1.27522 0.0128761i
\(421\) 26.0983i 1.27195i −0.771708 0.635977i \(-0.780597\pi\)
0.771708 0.635977i \(-0.219403\pi\)
\(422\) −28.6182 + 3.55699i −1.39311 + 0.173151i
\(423\) −25.0986 22.4531i −1.22033 1.09170i
\(424\) 3.55512 4.43039i 0.172652 0.215159i
\(425\) 5.49207 9.51254i 0.266404 0.461426i
\(426\) −17.2358 16.5417i −0.835076 0.801447i
\(427\) 3.98880 + 5.23296i 0.193032 + 0.253241i
\(428\) −0.580514 + 2.04740i −0.0280602 + 0.0989650i
\(429\) 8.25477 21.6082i 0.398544 1.04326i
\(430\) 19.0099 + 8.03596i 0.916739 + 0.387528i
\(431\) −10.4072 + 6.00858i −0.501296 + 0.289423i −0.729248 0.684249i \(-0.760130\pi\)
0.227953 + 0.973672i \(0.426797\pi\)
\(432\) −11.7377 + 17.1531i −0.564728 + 0.825277i
\(433\) 35.6343i 1.71247i 0.516583 + 0.856237i \(0.327204\pi\)
−0.516583 + 0.856237i \(0.672796\pi\)
\(434\) −3.59072 + 0.922027i −0.172360 + 0.0442587i
\(435\) 3.04729 + 19.0415i 0.146107 + 0.912972i
\(436\) 13.0178 12.6460i 0.623440 0.605635i
\(437\) −19.8674 + 11.4705i −0.950389 + 0.548707i
\(438\) 0.196661 0.799287i 0.00939683 0.0381914i
\(439\) −11.6950 6.75210i −0.558171 0.322260i 0.194240 0.980954i \(-0.437776\pi\)
−0.752411 + 0.658694i \(0.771109\pi\)
\(440\) 36.4754 14.1882i 1.73890 0.676396i
\(441\) 17.6485 11.3811i 0.840406 0.541957i
\(442\) −10.8902 + 8.23170i −0.517993 + 0.391542i
\(443\) 11.7659 20.3791i 0.559014 0.968241i −0.438565 0.898700i \(-0.644513\pi\)
0.997579 0.0695416i \(-0.0221536\pi\)
\(444\) −1.68269 3.91428i −0.0798571 0.185763i
\(445\) −2.86962 + 1.65678i −0.136033 + 0.0785387i
\(446\) 16.0924 2.00014i 0.761996 0.0947092i
\(447\) −18.8075 + 3.00984i −0.889563 + 0.142360i
\(448\) −7.17890 19.9114i −0.339171 0.940725i
\(449\) 30.6292i 1.44548i 0.691120 + 0.722740i \(0.257117\pi\)
−0.691120 + 0.722740i \(0.742883\pi\)
\(450\) 5.67187 + 12.0155i 0.267374 + 0.566418i
\(451\) −5.11103 8.85257i −0.240669 0.416851i
\(452\) −8.23144 32.6021i −0.387174 1.53347i
\(453\) −5.15165 + 13.4853i −0.242046 + 0.633596i
\(454\) −18.0888 23.9307i −0.848948 1.12312i
\(455\) −16.5141 + 12.5878i −0.774193 + 0.590125i
\(456\) 15.5684 + 26.5917i 0.729055 + 1.24527i
\(457\) 5.80736 10.0587i 0.271657 0.470524i −0.697629 0.716459i \(-0.745762\pi\)
0.969286 + 0.245935i \(0.0790950\pi\)
\(458\) −2.95602 1.24958i −0.138126 0.0583892i
\(459\) 15.3322 + 9.85194i 0.715644 + 0.459849i
\(460\) 14.4942 + 14.9204i 0.675797 + 0.695665i
\(461\) 30.8362i 1.43618i 0.695948 + 0.718092i \(0.254985\pi\)
−0.695948 + 0.718092i \(0.745015\pi\)
\(462\) 18.7084 25.2770i 0.870394 1.17599i
\(463\) −32.3199 −1.50203 −0.751016 0.660284i \(-0.770436\pi\)
−0.751016 + 0.660284i \(0.770436\pi\)
\(464\) 13.7453 7.41349i 0.638111 0.344163i
\(465\) −3.08581 3.79815i −0.143101 0.176135i
\(466\) 14.3459 33.9367i 0.664560 1.57209i
\(467\) 29.3749 + 16.9596i 1.35931 + 0.784797i 0.989531 0.144323i \(-0.0461004\pi\)
0.369778 + 0.929120i \(0.379434\pi\)
\(468\) −0.678367 16.4993i −0.0313575 0.762682i
\(469\) 1.95606 + 15.2350i 0.0903225 + 0.703489i
\(470\) 27.2976 + 36.1135i 1.25914 + 1.66579i
\(471\) 6.70275 17.5456i 0.308846 0.808458i
\(472\) −2.26961 1.82123i −0.104467 0.0838287i
\(473\) 21.5061 12.4166i 0.988852 0.570914i
\(474\) 3.82283 + 13.1779i 0.175589 + 0.605279i
\(475\) 19.6984 0.903823
\(476\) −17.2693 + 6.79778i −0.791535 + 0.311576i
\(477\) 5.72409 1.88025i 0.262088 0.0860910i
\(478\) −11.6887 + 1.45280i −0.534628 + 0.0664494i
\(479\) 17.6827 + 30.6273i 0.807943 + 1.39940i 0.914286 + 0.405068i \(0.132752\pi\)
−0.106344 + 0.994329i \(0.533914\pi\)
\(480\) 19.9224 19.5895i 0.909329 0.894133i
\(481\) 2.93154 + 1.69253i 0.133667 + 0.0771726i
\(482\) −6.14559 8.13034i −0.279924 0.370327i
\(483\) 16.2459 + 3.92776i 0.739216 + 0.178719i
\(484\) 6.84464 24.1402i 0.311120 1.09728i
\(485\) 15.8198 27.4008i 0.718342 1.24421i
\(486\) −20.3605 + 8.45273i −0.923573 + 0.383424i
\(487\) 16.4191 + 28.4386i 0.744018 + 1.28868i 0.950652 + 0.310259i \(0.100416\pi\)
−0.206634 + 0.978418i \(0.566251\pi\)
\(488\) 6.95238 + 1.06945i 0.314720 + 0.0484117i
\(489\) 3.18008 + 19.8713i 0.143808 + 0.898610i
\(490\) −26.2259 + 10.4459i −1.18476 + 0.471897i
\(491\) 22.5295 1.01674 0.508371 0.861138i \(-0.330248\pi\)
0.508371 + 0.861138i \(0.330248\pi\)
\(492\) −5.84804 4.36500i −0.263650 0.196789i
\(493\) −6.84678 11.8590i −0.308363 0.534101i
\(494\) −22.5495 9.53222i −1.01455 0.428875i
\(495\) 40.6322 + 8.50009i 1.82628 + 0.382051i
\(496\) −2.08018 + 3.37336i −0.0934027 + 0.151468i
\(497\) 23.8075 + 9.95092i 1.06791 + 0.446360i
\(498\) −0.244086 0.234256i −0.0109377 0.0104973i
\(499\) −11.3117 6.53084i −0.506383 0.292361i 0.224962 0.974367i \(-0.427774\pi\)
−0.731346 + 0.682007i \(0.761107\pi\)
\(500\) 2.60834 + 10.3308i 0.116649 + 0.462007i
\(501\) 8.46506 + 10.4192i 0.378191 + 0.465494i
\(502\) −11.8065 + 1.46744i −0.526950 + 0.0654951i
\(503\) 2.77607 0.123779 0.0618894 0.998083i \(-0.480287\pi\)
0.0618894 + 0.998083i \(0.480287\pi\)
\(504\) 5.14336 21.8528i 0.229104 0.973402i
\(505\) −20.2919 −0.902978
\(506\) 24.8379 3.08712i 1.10418 0.137239i
\(507\) −5.92543 7.29328i −0.263158 0.323906i
\(508\) −30.3225 + 7.65590i −1.34535 + 0.339676i
\(509\) −27.2704 15.7446i −1.20874 0.697866i −0.246255 0.969205i \(-0.579200\pi\)
−0.962484 + 0.271339i \(0.912534\pi\)
\(510\) −17.6755 16.9637i −0.782684 0.751165i
\(511\) 0.113221 + 0.881838i 0.00500861 + 0.0390102i
\(512\) −20.2965 10.0025i −0.896989 0.442052i
\(513\) −1.55295 + 32.6461i −0.0685645 + 1.44136i
\(514\) −39.4128 16.6608i −1.73842 0.734875i
\(515\) 2.47812 + 4.29223i 0.109199 + 0.189138i
\(516\) 10.6042 14.2070i 0.466823 0.625429i
\(517\) 54.4701 2.39559
\(518\) 3.21993 + 3.28794i 0.141476 + 0.144464i
\(519\) −0.278275 1.73885i −0.0122149 0.0763270i
\(520\) −3.37495 + 21.9402i −0.148001 + 0.962142i
\(521\) −2.92633 5.06856i −0.128205 0.222058i 0.794776 0.606903i \(-0.207588\pi\)
−0.922981 + 0.384845i \(0.874255\pi\)
\(522\) 16.5080 + 1.36609i 0.722536 + 0.0597922i
\(523\) 9.81038 16.9921i 0.428978 0.743012i −0.567805 0.823163i \(-0.692207\pi\)
0.996783 + 0.0801516i \(0.0255405\pi\)
\(524\) 19.4023 + 5.50125i 0.847591 + 0.240323i
\(525\) −10.3945 9.89558i −0.453652 0.431879i
\(526\) 20.5878 + 27.2367i 0.897670 + 1.18758i
\(527\) 3.00947 + 1.73752i 0.131094 + 0.0756874i
\(528\) −4.34866 33.3361i −0.189251 1.45077i
\(529\) −4.84862 8.39806i −0.210810 0.365133i
\(530\) −8.03738 + 0.998973i −0.349121 + 0.0433926i
\(531\) −0.963222 2.93235i −0.0418003 0.127253i
\(532\) −26.0424 20.7252i −1.12908 0.898553i
\(533\) 5.79779 0.251130
\(534\) 0.792997 + 2.73358i 0.0343163 + 0.118293i
\(535\) 2.62777 1.51715i 0.113609 0.0655919i
\(536\) 12.8071 + 10.2769i 0.553183 + 0.443896i
\(537\) −13.3639 + 34.9823i −0.576696 + 1.50960i
\(538\) −17.1418 22.6779i −0.739036 0.977712i
\(539\) −9.00148 + 32.7525i −0.387721 + 1.41075i
\(540\) 29.0455 5.88117i 1.24992 0.253085i
\(541\) 35.5120 + 20.5029i 1.52678 + 0.881488i 0.999494 + 0.0318007i \(0.0101242\pi\)
0.527287 + 0.849687i \(0.323209\pi\)
\(542\) −1.00400 + 2.37506i −0.0431254 + 0.102018i
\(543\) −10.2343 12.5968i −0.439194 0.540579i
\(544\) −8.25130 + 18.0432i −0.353772 + 0.773598i
\(545\) −25.8771 −1.10845
\(546\) 7.11038 + 16.3578i 0.304296 + 0.700050i
\(547\) 13.0813i 0.559315i −0.960100 0.279658i \(-0.909779\pi\)
0.960100 0.279658i \(-0.0902209\pi\)
\(548\) 28.2766 27.4691i 1.20792 1.17342i
\(549\) 5.56053 + 4.97442i 0.237317 + 0.212303i
\(550\) −19.7953 8.36795i −0.844073 0.356811i
\(551\) 12.2787 21.2673i 0.523088 0.906016i
\(552\) 15.4197 9.02762i 0.656308 0.384241i
\(553\) −8.98443 11.7868i −0.382057 0.501225i
\(554\) 11.2326 + 14.8603i 0.477229 + 0.631353i
\(555\) −2.16791 + 5.67487i −0.0920227 + 0.240885i
\(556\) 0.216859 0.0547529i 0.00919685 0.00232204i
\(557\) −19.2814 33.3964i −0.816980 1.41505i −0.907898 0.419192i \(-0.862313\pi\)
0.0909180 0.995858i \(-0.471020\pi\)
\(558\) −3.80134 + 1.79440i −0.160924 + 0.0759630i
\(559\) 14.0849i 0.595730i
\(560\) −12.4399 + 27.4956i −0.525684 + 1.16190i
\(561\) −29.1074 + 4.65817i −1.22891 + 0.196668i
\(562\) −21.5874 + 2.68312i −0.910611 + 0.113181i
\(563\) 9.75701 5.63321i 0.411209 0.237411i −0.280100 0.959971i \(-0.590368\pi\)
0.691309 + 0.722559i \(0.257034\pi\)
\(564\) 35.7246 15.3575i 1.50428 0.646669i
\(565\) −23.9716 + 41.5200i −1.00849 + 1.74676i
\(566\) −10.4894 + 7.92875i −0.440902 + 0.333270i
\(567\) 17.2194 16.4466i 0.723148 0.690693i
\(568\) 25.7086 10.0001i 1.07871 0.419595i
\(569\) −26.7497 15.4440i −1.12141 0.647445i −0.179648 0.983731i \(-0.557496\pi\)
−0.941760 + 0.336286i \(0.890829\pi\)
\(570\) 10.4969 42.6624i 0.439667 1.78693i
\(571\) 6.49082 3.74748i 0.271633 0.156827i −0.357997 0.933723i \(-0.616540\pi\)
0.629629 + 0.776896i \(0.283207\pi\)
\(572\) 18.6111 + 19.1582i 0.778168 + 0.801046i
\(573\) −2.43564 15.2195i −0.101750 0.635803i
\(574\) 7.59184 + 2.11949i 0.316877 + 0.0884659i
\(575\) 11.4225i 0.476350i
\(576\) −12.2510 20.6376i −0.510459 0.859902i
\(577\) 18.4495 10.6518i 0.768064 0.443442i −0.0641196 0.997942i \(-0.520424\pi\)
0.832184 + 0.554500i \(0.187091\pi\)
\(578\) −6.12052 2.58730i −0.254580 0.107617i
\(579\) −9.21946 + 24.1335i −0.383148 + 1.00295i
\(580\) −21.4226 6.07409i −0.889524 0.252213i
\(581\) 0.337151 + 0.140921i 0.0139874 + 0.00584637i
\(582\) −19.6084 18.8188i −0.812795 0.780064i
\(583\) −4.87263 + 8.43964i −0.201804 + 0.349534i
\(584\) 0.741304 + 0.594852i 0.0306754 + 0.0246152i
\(585\) −15.6982 + 17.5478i −0.649040 + 0.725513i
\(586\) 25.0456 3.11294i 1.03462 0.128594i
\(587\) 15.2002i 0.627381i −0.949525 0.313691i \(-0.898435\pi\)
0.949525 0.313691i \(-0.101565\pi\)
\(588\) 3.33068 + 24.0189i 0.137355 + 0.990522i
\(589\) 6.23194i 0.256783i
\(590\) 0.511756 + 4.11741i 0.0210687 + 0.169511i
\(591\) 2.99687 + 3.68868i 0.123275 + 0.151732i
\(592\) 4.91769 + 0.142514i 0.202116 + 0.00585728i
\(593\) 4.55071 7.88206i 0.186875 0.323678i −0.757332 0.653031i \(-0.773497\pi\)
0.944207 + 0.329353i \(0.106831\pi\)
\(594\) 15.4288 32.1470i 0.633052 1.31901i
\(595\) 24.4148 + 10.2048i 1.00091 + 0.418355i
\(596\) 5.99943 21.1593i 0.245746 0.866717i
\(597\) −37.7075 14.4050i −1.54326 0.589557i
\(598\) −5.52745 + 13.0758i −0.226034 + 0.534707i
\(599\) 37.6136 21.7162i 1.53685 0.887302i 0.537831 0.843053i \(-0.319244\pi\)
0.999021 0.0442488i \(-0.0140894\pi\)
\(600\) −15.3422 + 0.0929744i −0.626342 + 0.00379566i
\(601\) 15.5284i 0.633415i 0.948523 + 0.316708i \(0.102577\pi\)
−0.948523 + 0.316708i \(0.897423\pi\)
\(602\) −5.14902 + 18.4434i −0.209858 + 0.751695i
\(603\) 5.43533 + 16.5469i 0.221344 + 0.673841i
\(604\) −11.6148 11.9563i −0.472601 0.486496i
\(605\) −30.9831 + 17.8881i −1.25964 + 0.727256i
\(606\) −4.16446 + 16.9256i −0.169170 + 0.687554i
\(607\) 1.01612 + 0.586656i 0.0412430 + 0.0238116i 0.520480 0.853874i \(-0.325753\pi\)
−0.479237 + 0.877686i \(0.659086\pi\)
\(608\) −35.4214 + 3.36394i −1.43653 + 0.136426i
\(609\) −17.1629 + 5.05409i −0.695478 + 0.204802i
\(610\) −6.04771 8.00086i −0.244865 0.323945i
\(611\) −15.4473 + 26.7555i −0.624930 + 1.08241i
\(612\) −17.7770 + 11.2618i −0.718592 + 0.455230i
\(613\) 35.7276 20.6273i 1.44302 0.833131i 0.444974 0.895543i \(-0.353213\pi\)
0.998050 + 0.0624126i \(0.0198795\pi\)
\(614\) −3.08141 24.7919i −0.124356 1.00052i
\(615\) 1.64420 + 10.2741i 0.0663006 + 0.414291i
\(616\) 17.3664 + 31.8901i 0.699711 + 1.28489i
\(617\) 15.3232i 0.616887i 0.951243 + 0.308444i \(0.0998081\pi\)
−0.951243 + 0.308444i \(0.900192\pi\)
\(618\) 4.08874 1.18613i 0.164473 0.0477130i
\(619\) 7.95796 + 13.7836i 0.319857 + 0.554009i 0.980458 0.196728i \(-0.0630316\pi\)
−0.660601 + 0.750738i \(0.729698\pi\)
\(620\) 5.47881 1.38330i 0.220034 0.0555547i
\(621\) 18.9305 + 0.900509i 0.759655 + 0.0361362i
\(622\) 9.36592 7.07954i 0.375539 0.283864i
\(623\) −1.86370 2.44502i −0.0746677 0.0979575i
\(624\) 17.6078 + 7.31780i 0.704875 + 0.292946i
\(625\) 15.4254 26.7176i 0.617017 1.06871i
\(626\) −14.6848 + 34.7384i −0.586922 + 1.38842i
\(627\) −33.3344 41.0294i −1.33125 1.63856i
\(628\) 15.1119 + 15.5562i 0.603031 + 0.620760i
\(629\) 4.31380i 0.172002i
\(630\) −26.9707 + 17.2390i −1.07454 + 0.686818i
\(631\) −27.9268 −1.11175 −0.555875 0.831266i \(-0.687617\pi\)
−0.555875 + 0.831266i \(0.687617\pi\)
\(632\) −15.6596 2.40884i −0.622907 0.0958186i
\(633\) 27.4128 22.2715i 1.08956 0.885215i
\(634\) 37.5405 + 15.8693i 1.49092 + 0.630251i
\(635\) 38.6170 + 22.2955i 1.53247 + 0.884770i
\(636\) −0.816245 + 6.90902i −0.0323662 + 0.273960i
\(637\) −13.5351 13.7098i −0.536281 0.543203i
\(638\) −21.3735 + 16.1559i −0.846184 + 0.639616i
\(639\) 28.6384 + 5.99103i 1.13292 + 0.237001i
\(640\) 10.8199 + 30.3940i 0.427693 + 1.20143i
\(641\) −7.03036 + 4.05898i −0.277683 + 0.160320i −0.632374 0.774663i \(-0.717919\pi\)
0.354691 + 0.934984i \(0.384586\pi\)
\(642\) −0.726164 2.50319i −0.0286594 0.0987932i
\(643\) −21.5611 −0.850285 −0.425143 0.905126i \(-0.639776\pi\)
−0.425143 + 0.905126i \(0.639776\pi\)
\(644\) −12.0179 + 15.1012i −0.473573 + 0.595071i
\(645\) −24.9595 + 3.99436i −0.982778 + 0.157278i
\(646\) 3.84806 + 30.9601i 0.151400 + 1.21811i
\(647\) −19.5173 33.8049i −0.767304 1.32901i −0.939020 0.343863i \(-0.888264\pi\)
0.171716 0.985147i \(-0.445069\pi\)
\(648\) 1.05544 25.4340i 0.0414615 0.999140i
\(649\) 4.32348 + 2.49616i 0.169712 + 0.0979830i
\(650\) 9.72408 7.35027i 0.381410 0.288301i
\(651\) 3.13065 3.28848i 0.122700 0.128886i
\(652\) −22.3561 6.33877i −0.875531 0.248245i
\(653\) −8.53952 + 14.7909i −0.334177 + 0.578812i −0.983326 0.181849i \(-0.941792\pi\)
0.649149 + 0.760661i \(0.275125\pi\)
\(654\) −5.31069 + 21.5841i −0.207664 + 0.844007i
\(655\) −14.3772 24.9021i −0.561765 0.973006i
\(656\) 7.41644 4.00003i 0.289563 0.156175i
\(657\) 0.314609 + 0.957770i 0.0122741 + 0.0373662i
\(658\) −30.0082 + 29.3876i −1.16984 + 1.14565i
\(659\) −6.99022 −0.272300 −0.136150 0.990688i \(-0.543473\pi\)
−0.136150 + 0.990688i \(0.543473\pi\)
\(660\) −28.6717 + 38.4132i −1.11605 + 1.49523i
\(661\) −23.0740 39.9653i −0.897474 1.55447i −0.830712 0.556702i \(-0.812067\pi\)
−0.0667617 0.997769i \(-0.521267\pi\)
\(662\) 1.42753 3.37696i 0.0554823 0.131249i
\(663\) 5.96655 15.6184i 0.231722 0.606570i
\(664\) 0.364074 0.141617i 0.0141288 0.00549582i
\(665\) 6.04325 + 47.0686i 0.234347 + 1.82524i
\(666\) 4.28852 + 2.97290i 0.166177 + 0.115198i
\(667\) −12.3322 7.12002i −0.477506 0.275688i
\(668\) −15.0296 + 3.79470i −0.581512 + 0.146821i
\(669\) −15.4145 + 12.5236i −0.595961 + 0.484189i
\(670\) −2.88777 23.2340i −0.111564 0.897607i
\(671\) −12.0677 −0.465869
\(672\) 20.3811 + 16.0191i 0.786219 + 0.617948i
\(673\) 8.04494 0.310110 0.155055 0.987906i \(-0.450445\pi\)
0.155055 + 0.987906i \(0.450445\pi\)
\(674\) −1.94863 15.6780i −0.0750586 0.603894i
\(675\) −13.6904 8.79702i −0.526945 0.338597i
\(676\) 10.5205 2.65624i 0.404635 0.102163i
\(677\) −8.53140 4.92561i −0.327888 0.189306i 0.327015 0.945019i \(-0.393957\pi\)
−0.654903 + 0.755713i \(0.727291\pi\)
\(678\) 29.7123 + 28.5158i 1.14110 + 1.09514i
\(679\) 27.0847 + 11.3207i 1.03942 + 0.434450i
\(680\) 26.3644 10.2552i 1.01103 0.393270i
\(681\) 34.3208 + 13.1112i 1.31518 + 0.502422i
\(682\) 2.64736 6.26260i 0.101372 0.239807i
\(683\) −20.1018 34.8173i −0.769173 1.33225i −0.938012 0.346603i \(-0.887335\pi\)
0.168839 0.985644i \(-0.445998\pi\)
\(684\) −33.4306 17.5110i −1.27825 0.669550i
\(685\) −56.2088 −2.14763
\(686\) −12.7115 22.9002i −0.485327 0.874332i
\(687\) 3.88117 0.621119i 0.148076 0.0236972i
\(688\) 9.71753 + 18.0172i 0.370477 + 0.686900i
\(689\) −2.76368 4.78683i −0.105288 0.182364i
\(690\) −24.7386 6.08684i −0.941784 0.231722i
\(691\) −17.2791 + 29.9282i −0.657326 + 1.13852i 0.323979 + 0.946064i \(0.394979\pi\)
−0.981305 + 0.192458i \(0.938354\pi\)
\(692\) 1.95628 + 0.554678i 0.0743667 + 0.0210857i
\(693\) −3.02139 + 38.3961i −0.114773 + 1.45855i
\(694\) 16.3280 12.3420i 0.619801 0.468497i
\(695\) −0.276178 0.159451i −0.0104760 0.00604834i
\(696\) −9.46292 + 16.6221i −0.358691 + 0.630058i
\(697\) −3.69426 6.39864i −0.139930 0.242366i
\(698\) −3.97735 32.0003i −0.150545 1.21123i
\(699\) 7.13078 + 44.5579i 0.269711 + 1.68533i
\(700\) 15.4201 6.06989i 0.582825 0.229420i
\(701\) 29.6534 1.11999 0.559997 0.828495i \(-0.310802\pi\)
0.559997 + 0.828495i \(0.310802\pi\)
\(702\) 11.4150 + 16.6952i 0.430831 + 0.630120i
\(703\) 6.69969 3.86807i 0.252684 0.145887i
\(704\) 37.0247 + 11.6667i 1.39542 + 0.439705i
\(705\) −51.7932 19.7860i −1.95064 0.745184i
\(706\) −4.64945 + 3.51444i −0.174984 + 0.132268i
\(707\) −2.39755 18.6736i −0.0901692 0.702295i
\(708\) 3.53937 + 0.418148i 0.133018 + 0.0157150i
\(709\) 9.81381 + 5.66601i 0.368565 + 0.212791i 0.672832 0.739796i \(-0.265078\pi\)
−0.304266 + 0.952587i \(0.598411\pi\)
\(710\) −36.2272 15.3141i −1.35958 0.574729i
\(711\) −12.5246 11.2044i −0.469709 0.420199i
\(712\) −3.24839 0.499683i −0.121738 0.0187264i
\(713\) 3.61371 0.135335
\(714\) 13.5224 18.2702i 0.506065 0.683745i
\(715\) 38.0831i 1.42423i
\(716\) −30.1301 31.0159i −1.12601 1.15912i
\(717\) 11.1963 9.09648i 0.418135 0.339714i
\(718\) 6.25524 14.7974i 0.233443 0.552235i
\(719\) 8.51080 14.7411i 0.317399 0.549752i −0.662545 0.749022i \(-0.730524\pi\)
0.979945 + 0.199270i \(0.0638572\pi\)
\(720\) −7.97421 + 33.2774i −0.297181 + 1.24018i
\(721\) −3.65713 + 2.78763i −0.136199 + 0.103817i
\(722\) −23.1979 + 17.5349i −0.863335 + 0.652580i
\(723\) 11.6604 + 4.45448i 0.433653 + 0.165664i
\(724\) 18.1708 4.58779i 0.675311 0.170504i
\(725\) 6.11364 + 10.5891i 0.227055 + 0.393271i
\(726\) 8.56195 + 29.5143i 0.317764 + 1.09538i
\(727\) 42.1153i 1.56197i −0.624550 0.780985i \(-0.714718\pi\)
0.624550 0.780985i \(-0.285282\pi\)
\(728\) −20.5893 0.513497i −0.763089 0.0190315i
\(729\) 15.6586 21.9956i 0.579949 0.814653i
\(730\) −0.167151 1.34483i −0.00618653 0.0497746i
\(731\) 15.5446 8.97469i 0.574939 0.331941i
\(732\) −7.91470 + 3.40242i −0.292536 + 0.125757i
\(733\) 20.3500 35.2472i 0.751644 1.30189i −0.195382 0.980727i \(-0.562595\pi\)
0.947026 0.321158i \(-0.104072\pi\)
\(734\) −23.8815 31.5941i −0.881481 1.16616i
\(735\) 20.4563 27.8731i 0.754541 1.02812i
\(736\) 1.95064 + 20.5398i 0.0719017 + 0.757107i
\(737\) −24.3968 14.0855i −0.898669 0.518847i
\(738\) 8.90707 + 0.737089i 0.327874 + 0.0271326i
\(739\) −7.63741 + 4.40946i −0.280947 + 0.162205i −0.633852 0.773454i \(-0.718527\pi\)
0.352905 + 0.935659i \(0.385194\pi\)
\(740\) −4.88774 5.03144i −0.179677 0.184959i
\(741\) 29.6068 4.73810i 1.08763 0.174058i
\(742\) −1.86895 7.27837i −0.0686112 0.267197i
\(743\) 16.3412i 0.599502i 0.954017 + 0.299751i \(0.0969036\pi\)
−0.954017 + 0.299751i \(0.903096\pi\)
\(744\) −0.0294142 4.85378i −0.00107838 0.177948i
\(745\) −27.1572 + 15.6792i −0.994962 + 0.574441i
\(746\) −17.2483 + 40.8028i −0.631507 + 1.49390i
\(747\) 0.405564 + 0.0848424i 0.0148388 + 0.00310422i
\(748\) 9.28501 32.7471i 0.339494 1.19735i
\(749\) 1.70663 + 2.23895i 0.0623590 + 0.0818096i
\(750\) −9.41512 9.03598i −0.343792 0.329947i
\(751\) 6.17492 10.6953i 0.225326 0.390276i −0.731091 0.682280i \(-0.760989\pi\)
0.956417 + 0.292004i \(0.0943219\pi\)
\(752\) −1.30069 + 44.8826i −0.0474313 + 1.63670i
\(753\) 11.3092 9.18817i 0.412130 0.334836i
\(754\) −1.87434 15.0802i −0.0682593 0.549190i
\(755\) 23.7670i 0.864969i
\(756\) 8.84397 + 26.0343i 0.321652 + 0.946858i
\(757\) 29.0246i 1.05492i 0.849581 + 0.527459i \(0.176855\pi\)
−0.849581 + 0.527459i \(0.823145\pi\)
\(758\) 40.4363 5.02586i 1.46871 0.182548i
\(759\) −23.7917 + 19.3296i −0.863583 + 0.701620i
\(760\) 39.5675 + 31.7506i 1.43527 + 1.15171i
\(761\) −15.5050 + 26.8554i −0.562055 + 0.973507i 0.435262 + 0.900304i \(0.356656\pi\)
−0.997317 + 0.0732037i \(0.976678\pi\)
\(762\) 26.5220 27.6349i 0.960792 1.00111i
\(763\) −3.05745 23.8134i −0.110687 0.862102i
\(764\) 17.1226 + 4.85489i 0.619474 + 0.175644i
\(765\) 29.3690 + 6.14387i 1.06184 + 0.222132i
\(766\) 33.0084 + 13.9535i 1.19264 + 0.504160i
\(767\) −2.45221 + 1.41578i −0.0885442 + 0.0511210i
\(768\) 27.5723 2.78721i 0.994930 0.100575i
\(769\) 42.3916i 1.52868i −0.644813 0.764340i \(-0.723065\pi\)
0.644813 0.764340i \(-0.276935\pi\)