Properties

Label 168.2.ba.c.5.21
Level $168$
Weight $2$
Character 168.5
Analytic conductor $1.341$
Analytic rank $0$
Dimension $48$
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 5.21
Character \(\chi\) \(=\) 168.5
Dual form 168.2.ba.c.101.21

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.30261 - 0.550645i) q^{2} +(-0.618109 - 1.61801i) q^{3} +(1.39358 - 1.43455i) q^{4} +(2.46958 + 1.42581i) q^{5} +(-1.69610 - 1.76727i) q^{6} +(-1.02032 + 2.44110i) q^{7} +(1.02536 - 2.63603i) q^{8} +(-2.23588 + 2.00021i) q^{9} +O(q^{10})\) \(q+(1.30261 - 0.550645i) q^{2} +(-0.618109 - 1.61801i) q^{3} +(1.39358 - 1.43455i) 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} +(-2.23588 + 2.00021i) q^{9} +(4.00201 + 0.497414i) q^{10} +(-2.42621 - 4.20231i) q^{11} +(-3.18249 - 1.36811i) q^{12} -2.75221 q^{13} +(0.0151045 + 3.74163i) q^{14} +(0.780502 - 4.87710i) q^{15} +(-0.115871 - 3.99832i) q^{16} +(1.75366 + 3.03743i) q^{17} +(-1.81107 + 3.83667i) q^{18} +(-3.14493 + 5.44717i) q^{19} +(5.48696 - 1.55575i) q^{20} +(4.58037 + 0.142013i) q^{21} +(-5.47438 - 4.13799i) q^{22} +(3.15865 + 1.82365i) q^{23} +(-4.89889 - 0.0296875i) q^{24} +(1.56588 + 2.71219i) q^{25} +(-3.58505 + 1.51549i) q^{26} +(4.61837 + 2.38132i) q^{27} +(2.07998 + 4.86556i) q^{28} +3.90427 q^{29} +(-1.66886 - 6.78274i) q^{30} +(-0.858051 + 0.495396i) q^{31} +(-2.35259 - 5.14445i) q^{32} +(-5.29970 + 6.52310i) 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} +(-1.09715 + 8.82727i) q^{38} +(1.70117 + 4.45309i) q^{39} +(6.29069 - 5.04791i) q^{40} -2.10659 q^{41} +(6.04464 - 2.33717i) q^{42} -5.11768i q^{43} +(-9.40954 - 2.37574i) q^{44} +(-8.37361 + 1.75172i) q^{45} +(5.11867 + 0.636204i) 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} +(3.83063 - 4.71490i) q^{51} +(-3.83543 + 3.94819i) q^{52} +(-1.00417 - 1.73927i) q^{53} +(7.32719 + 0.558850i) q^{54} -13.8373i q^{55} +(5.38860 + 5.19259i) q^{56} +(10.7575 + 1.72156i) q^{57} +(5.08574 - 2.14987i) q^{58} +(-0.890996 + 0.514417i) q^{59} +(-5.90876 - 7.91630i) q^{60} +(-1.24347 + 2.15376i) q^{61} +(-0.844918 + 1.11779i) q^{62} +(-2.60139 - 7.49885i) q^{63} +(-5.89727 - 5.40576i) q^{64} +(-6.79681 - 3.92414i) q^{65} +(-3.31153 + 11.4153i) q^{66} +(-5.02777 + 2.90279i) q^{67} +(6.80122 + 1.71719i) q^{68} +(0.998281 - 6.23793i) q^{69} +(-5.29756 + 9.26178i) q^{70} +9.75277i q^{71} +(2.98001 + 7.94478i) q^{72} +(0.291019 - 0.168020i) q^{73} +(-1.72612 - 0.214540i) q^{74} +(3.42045 - 4.21004i) 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} +(5.41471 - 10.0394i) q^{80} +(0.998337 - 8.94446i) q^{81} +(-2.74407 + 1.15999i) q^{82} -0.138115i q^{83} +(6.58684 - 6.37287i) q^{84} +10.0016i q^{85} +(-2.81803 - 6.66634i) q^{86} +(-2.41327 - 6.31714i) q^{87} +(-13.5651 + 2.08666i) 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} +(1.33192 + 1.08212i) q^{93} +(1.95806 - 15.7538i) q^{94} +(-15.5333 + 8.96815i) q^{95} +(-6.86958 + 6.98633i) q^{96} -11.0953i q^{97} +(-9.14908 - 3.78077i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30261 0.550645i 0.921084 0.389365i
\(3\) −0.618109 1.61801i −0.356866 0.934156i
\(4\) 1.39358 1.43455i 0.696790 0.717275i
\(5\) 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
\(9\) −2.23588 + 2.00021i −0.745294 + 0.666736i
\(10\) 4.00201 + 0.497414i 1.26555 + 0.157296i
\(11\) −2.42621 4.20231i −0.731529 1.26705i −0.956230 0.292617i \(-0.905474\pi\)
0.224701 0.974428i \(-0.427860\pi\)
\(12\) −3.18249 1.36811i −0.918707 0.394939i
\(13\) −2.75221 −0.763326 −0.381663 0.924302i \(-0.624649\pi\)
−0.381663 + 0.924302i \(0.624649\pi\)
\(14\) 0.0151045 + 3.74163i 0.00403685 + 0.999992i
\(15\) 0.780502 4.87710i 0.201525 1.25926i
\(16\) −0.115871 3.99832i −0.0289677 0.999580i
\(17\) 1.75366 + 3.03743i 0.425326 + 0.736686i 0.996451 0.0841773i \(-0.0268262\pi\)
−0.571125 + 0.820863i \(0.693493\pi\)
\(18\) −1.81107 + 3.83667i −0.426874 + 0.904311i
\(19\) −3.14493 + 5.44717i −0.721496 + 1.24967i 0.238905 + 0.971043i \(0.423212\pi\)
−0.960400 + 0.278624i \(0.910122\pi\)
\(20\) 5.48696 1.55575i 1.22692 0.347877i
\(21\) 4.58037 + 0.142013i 0.999520 + 0.0309899i
\(22\) −5.47438 4.13799i −1.16714 0.882223i
\(23\) 3.15865 + 1.82365i 0.658624 + 0.380257i 0.791753 0.610842i \(-0.209169\pi\)
−0.133128 + 0.991099i \(0.542502\pi\)
\(24\) −4.89889 0.0296875i −0.999982 0.00605994i
\(25\) 1.56588 + 2.71219i 0.313177 + 0.542438i
\(26\) −3.58505 + 1.51549i −0.703087 + 0.297212i
\(27\) 4.61837 + 2.38132i 0.888805 + 0.458286i
\(28\) 2.07998 + 4.86556i 0.393080 + 0.919504i
\(29\) 3.90427 0.725005 0.362503 0.931983i \(-0.381922\pi\)
0.362503 + 0.931983i \(0.381922\pi\)
\(30\) −1.66886 6.78274i −0.304691 1.23835i
\(31\) −0.858051 + 0.495396i −0.154111 + 0.0889758i −0.575072 0.818103i \(-0.695026\pi\)
0.420962 + 0.907078i \(0.361693\pi\)
\(32\) −2.35259 5.14445i −0.415883 0.909418i
\(33\) −5.29970 + 6.52310i −0.922560 + 1.13553i
\(34\) 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 0.409883 0.912138i \(-0.365570\pi\)
−0.584994 + 0.811038i \(0.698903\pi\)
\(38\) −1.09715 + 8.82727i −0.177981 + 1.43197i
\(39\) 1.70117 + 4.45309i 0.272405 + 0.713065i
\(40\) 6.29069 5.04791i 0.994646 0.798144i
\(41\) −2.10659 −0.328995 −0.164497 0.986378i \(-0.552600\pi\)
−0.164497 + 0.986378i \(0.552600\pi\)
\(42\) 6.04464 2.33717i 0.932708 0.360634i
\(43\) 5.11768i 0.780439i −0.920722 0.390220i \(-0.872399\pi\)
0.920722 0.390220i \(-0.127601\pi\)
\(44\) −9.40954 2.37574i −1.41854 0.358157i
\(45\) −8.37361 + 1.75172i −1.24826 + 0.261132i
\(46\) 5.11867 + 0.636204i 0.754706 + 0.0938032i
\(47\) 5.61268 9.72145i 0.818693 1.41802i −0.0879518 0.996125i \(-0.528032\pi\)
0.906645 0.421894i \(-0.138635\pi\)
\(48\) −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
\(51\) 3.83063 4.71490i 0.536395 0.660218i
\(52\) −3.83543 + 3.94819i −0.531878 + 0.547515i
\(53\) −1.00417 1.73927i −0.137933 0.238907i 0.788781 0.614674i \(-0.210712\pi\)
−0.926714 + 0.375767i \(0.877379\pi\)
\(54\) 7.32719 + 0.558850i 0.997104 + 0.0760499i
\(55\) 13.8373i 1.86582i
\(56\) 5.38860 + 5.19259i 0.720082 + 0.693889i
\(57\) 10.7575 + 1.72156i 1.42486 + 0.228026i
\(58\) 5.08574 2.14987i 0.667791 0.282292i
\(59\) −0.890996 + 0.514417i −0.115998 + 0.0669714i −0.556876 0.830595i \(-0.688000\pi\)
0.440879 + 0.897567i \(0.354667\pi\)
\(60\) −5.90876 7.91630i −0.762817 1.02199i
\(61\) −1.24347 + 2.15376i −0.159211 + 0.275761i −0.934584 0.355742i \(-0.884228\pi\)
0.775374 + 0.631503i \(0.217562\pi\)
\(62\) −0.844918 + 1.11779i −0.107305 + 0.141959i
\(63\) −2.60139 7.49885i −0.327745 0.944766i
\(64\) −5.89727 5.40576i −0.737159 0.675720i
\(65\) −6.79681 3.92414i −0.843040 0.486729i
\(66\) −3.31153 + 11.4153i −0.407621 + 1.40513i
\(67\) −5.02777 + 2.90279i −0.614240 + 0.354632i −0.774623 0.632423i \(-0.782060\pi\)
0.160383 + 0.987055i \(0.448727\pi\)
\(68\) 6.80122 + 1.71719i 0.824769 + 0.208240i
\(69\) 0.998281 6.23793i 0.120179 0.750958i
\(70\) −5.29756 + 9.26178i −0.633179 + 1.10699i
\(71\) 9.75277i 1.15744i 0.815526 + 0.578720i \(0.196448\pi\)
−0.815526 + 0.578720i \(0.803552\pi\)
\(72\) 2.98001 + 7.94478i 0.351198 + 0.936301i
\(73\) 0.291019 0.168020i 0.0340612 0.0196652i −0.482873 0.875691i \(-0.660407\pi\)
0.516934 + 0.856025i \(0.327073\pi\)
\(74\) −1.72612 0.214540i −0.200657 0.0249398i
\(75\) 3.42045 4.21004i 0.394960 0.486133i
\(76\) 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 \(0.268710\pi\)
\(80\) 5.41471 10.0394i 0.605383 1.12244i
\(81\) 0.998337 8.94446i 0.110926 0.993829i
\(82\) −2.74407 + 1.15999i −0.303032 + 0.128099i
\(83\) 0.138115i 0.0151600i −0.999971 0.00758002i \(-0.997587\pi\)
0.999971 0.00758002i \(-0.00241282\pi\)
\(84\) 6.58684 6.37287i 0.718683 0.695337i
\(85\) 10.0016i 1.08482i
\(86\) −2.81803 6.66634i −0.303876 0.718850i
\(87\) −2.41327 6.31714i −0.258729 0.677268i
\(88\) −13.5651 + 2.08666i −1.44605 + 0.222438i
\(89\) 0.580993 1.00631i 0.0615852 0.106669i −0.833589 0.552385i \(-0.813718\pi\)
0.895174 + 0.445717i \(0.147051\pi\)
\(90\) −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
\(93\) 1.33192 + 1.08212i 0.138114 + 0.112211i
\(94\) 1.95806 15.7538i 0.201958 1.62488i
\(95\) −15.5333 + 8.96815i −1.59368 + 0.920113i
\(96\) −6.86958 + 6.98633i −0.701124 + 0.713040i
\(97\) 11.0953i 1.12656i −0.826266 0.563280i \(-0.809539\pi\)
0.826266 0.563280i \(-0.190461\pi\)
\(98\) −9.14908 3.78077i −0.924197 0.381916i
\(99\) 13.8302 + 4.54296i 1.38999 + 0.456585i
\(100\) 6.07296 + 1.53331i 0.607296 + 0.153331i
\(101\) −6.16256 + 3.55796i −0.613198 + 0.354030i −0.774216 0.632922i \(-0.781856\pi\)
0.161018 + 0.986951i \(0.448522\pi\)
\(102\) 2.39357 8.25099i 0.236999 0.816970i
\(103\) 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
\(105\) 11.1091 + 6.88147i 1.08414 + 0.671563i
\(106\) −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 \(0.150288\pi\)
\(108\) 9.85219 3.30672i 0.948027 0.318189i
\(109\) 7.85874 4.53725i 0.752731 0.434589i −0.0739489 0.997262i \(-0.523560\pi\)
0.826680 + 0.562673i \(0.190227\pi\)
\(110\) −7.61942 18.0245i −0.726484 1.71857i
\(111\) −0.336640 + 2.10355i −0.0319524 + 0.199660i
\(112\) 9.87851 + 3.79670i 0.933432 + 0.358755i
\(113\) 16.8126i 1.58159i −0.612078 0.790797i \(-0.709666\pi\)
0.612078 0.790797i \(-0.290334\pi\)
\(114\) 14.9607 3.68103i 1.40120 0.344760i
\(115\) 5.20036 + 9.00729i 0.484936 + 0.839934i
\(116\) 5.44092 5.60088i 0.505176 0.520028i
\(117\) 6.15362 5.50499i 0.568902 0.508937i
\(118\) −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
\(122\) −0.433803 + 3.49022i −0.0392747 + 0.315990i
\(123\) 1.30211 + 3.40848i 0.117407 + 0.307332i
\(124\) −0.485092 + 1.92129i −0.0435626 + 0.172537i
\(125\) 5.32750i 0.476506i
\(126\) −7.51780 8.33562i −0.669739 0.742596i
\(127\) 15.6371 1.38756 0.693782 0.720185i \(-0.255943\pi\)
0.693782 + 0.720185i \(0.255943\pi\)
\(128\) −10.6585 3.79429i −0.942086 0.335371i
\(129\) −8.28044 + 3.16329i −0.729052 + 0.278512i
\(130\) −11.0144 1.36899i −0.966026 0.120068i
\(131\) −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
\(135\) 8.01011 + 12.4658i 0.689400 + 1.07288i
\(136\) 9.80489 1.50824i 0.840763 0.129330i
\(137\) 17.0704 9.85557i 1.45842 0.842019i 0.459485 0.888185i \(-0.348034\pi\)
0.998934 + 0.0461669i \(0.0147006\pi\)
\(138\) −2.13451 8.67528i −0.181702 0.738489i
\(139\) 0.111832 0.00948546 0.00474273 0.999989i \(-0.498490\pi\)
0.00474273 + 0.999989i \(0.498490\pi\)
\(140\) −1.80069 + 14.9816i −0.152186 + 1.26617i
\(141\) −19.1986 3.07243i −1.61681 0.258745i
\(142\) 5.37032 + 12.7040i 0.450667 + 1.06610i
\(143\) 6.67743 + 11.5657i 0.558395 + 0.967169i
\(144\) 8.25655 + 8.70801i 0.688046 + 0.725667i
\(145\) 9.64192 + 5.56676i 0.800718 + 0.462295i
\(146\) 0.286564 0.379112i 0.0237162 0.0313755i
\(147\) −5.02010 + 11.0362i −0.414051 + 0.910254i
\(148\) −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 \(0.315400\pi\)
\(150\) 2.13727 7.36749i 0.174508 0.601553i
\(151\) 4.16727 + 7.21792i 0.339127 + 0.587386i 0.984269 0.176677i \(-0.0565349\pi\)
−0.645141 + 0.764063i \(0.723202\pi\)
\(152\) 11.1342 + 13.8754i 0.903103 + 1.12545i
\(153\) −9.99648 3.28365i −0.808168 0.265468i
\(154\) 15.6868 9.14143i 1.26408 0.736638i
\(155\) −2.82537 −0.226939
\(156\) 8.75890 + 3.76533i 0.701273 + 0.301468i
\(157\) 5.42198 + 9.39114i 0.432721 + 0.749495i 0.997107 0.0760165i \(-0.0242202\pi\)
−0.564386 + 0.825511i \(0.690887\pi\)
\(158\) −0.977103 + 7.86142i −0.0777342 + 0.625421i
\(159\) −2.19346 + 2.69980i −0.173953 + 0.214108i
\(160\) 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 0.0511792 0.998689i \(-0.483702\pi\)
−0.839301 + 0.543667i \(0.817035\pi\)
\(164\) −2.93571 + 3.02202i −0.229240 + 0.235980i
\(165\) −22.3888 + 8.55294i −1.74296 + 0.665846i
\(166\) −0.0760521 0.179909i −0.00590279 0.0139637i
\(167\) −7.75061 −0.599761 −0.299880 0.953977i \(-0.596947\pi\)
−0.299880 + 0.953977i \(0.596947\pi\)
\(168\) 5.07089 11.9284i 0.391228 0.920294i
\(169\) −5.42533 −0.417333
\(170\) 5.50732 + 13.0281i 0.422392 + 0.999213i
\(171\) −3.86379 18.4697i −0.295472 1.41242i
\(172\) −7.34158 7.13190i −0.559790 0.543802i
\(173\) −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
\(177\) 1.38306 + 1.12367i 0.103957 + 0.0844603i
\(178\) 0.202687 1.63075i 0.0151921 0.122230i
\(179\) 10.8103 + 18.7240i 0.808002 + 1.39950i 0.914246 + 0.405160i \(0.132784\pi\)
−0.106244 + 0.994340i \(0.533883\pi\)
\(180\) −9.15636 + 14.4535i −0.682475 + 1.07730i
\(181\) 9.37049 0.696503 0.348251 0.937401i \(-0.386776\pi\)
0.348251 + 0.937401i \(0.386776\pi\)
\(182\) −0.0415708 10.2977i −0.00308144 0.763320i
\(183\) 4.25340 + 0.680689i 0.314420 + 0.0503180i
\(184\) 8.04594 6.45639i 0.593155 0.475971i
\(185\) −1.75366 3.03743i −0.128932 0.223317i
\(186\) 2.33084 + 0.676166i 0.170905 + 0.0495789i
\(187\) 8.50950 14.7389i 0.622276 1.07781i
\(188\) −6.12419 21.5993i −0.446652 1.57529i
\(189\) −10.5252 + 8.84418i −0.765598 + 0.643319i
\(190\) −15.2955 + 20.2353i −1.10966 + 1.46803i
\(191\) 7.70657 + 4.44939i 0.557628 + 0.321947i 0.752193 0.658943i \(-0.228996\pi\)
−0.194565 + 0.980890i \(0.562329\pi\)
\(192\) −5.10139 + 12.8832i −0.368161 + 0.929762i
\(193\) 7.45779 + 12.9173i 0.536824 + 0.929806i 0.999073 + 0.0430556i \(0.0137093\pi\)
−0.462249 + 0.886750i \(0.652957\pi\)
\(194\) −6.10958 14.4529i −0.438643 1.03766i
\(195\) −2.14811 + 13.4228i −0.153829 + 0.961228i
\(196\) −13.9995 + 0.113031i −0.999967 + 0.00807364i
\(197\) 2.74394 0.195497 0.0977487 0.995211i \(-0.468836\pi\)
0.0977487 + 0.995211i \(0.468836\pi\)
\(198\) 20.5169 1.69784i 1.45807 0.120660i
\(199\) −20.1826 + 11.6525i −1.43071 + 0.826021i −0.997175 0.0751162i \(-0.976067\pi\)
−0.433535 + 0.901137i \(0.642734\pi\)
\(200\) 8.75500 1.34674i 0.619072 0.0952287i
\(201\) 7.80443 + 6.34072i 0.550482 + 0.447240i
\(202\) −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
\(206\) 2.43919 + 0.303170i 0.169947 + 0.0211228i
\(207\) −10.7100 + 2.24050i −0.744399 + 0.155725i
\(208\) 0.318901 + 11.0042i 0.0221118 + 0.763006i
\(209\) 30.5210 2.11118
\(210\) 18.2601 + 2.84668i 1.26007 + 0.196440i
\(211\) 20.3918i 1.40383i 0.712259 + 0.701916i \(0.247672\pi\)
−0.712259 + 0.701916i \(0.752328\pi\)
\(212\) −3.89445 0.983280i −0.267472 0.0675320i
\(213\) 15.7800 6.02828i 1.08123 0.413051i
\(214\) 0.185605 1.49331i 0.0126877 0.102081i
\(215\) 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
\(219\) −0.451738 0.367015i −0.0305256 0.0248006i
\(220\) −19.8503 19.2833i −1.33830 1.30008i
\(221\) −4.82645 8.35966i −0.324662 0.562332i
\(222\) 0.719800 + 2.92547i 0.0483098 + 0.196345i
\(223\) 11.4666i 0.767860i 0.923362 + 0.383930i \(0.125430\pi\)
−0.923362 + 0.383930i \(0.874570\pi\)
\(224\) 14.9585 0.493938i 0.999455 0.0330026i
\(225\) −8.92608 2.93204i −0.595072 0.195470i
\(226\) −9.25776 21.9002i −0.615817 1.45678i
\(227\) 18.3699 10.6059i 1.21926 0.703938i 0.254497 0.967073i \(-0.418090\pi\)
0.964759 + 0.263136i \(0.0847567\pi\)
\(228\) 17.4610 13.0330i 1.15639 0.863131i
\(229\) −1.13465 + 1.96528i −0.0749800 + 0.129869i −0.901078 0.433658i \(-0.857223\pi\)
0.826098 + 0.563527i \(0.190556\pi\)
\(230\) 11.7339 + 8.86942i 0.773707 + 0.584832i
\(231\) −10.5162 19.5927i −0.691912 1.28911i
\(232\) 4.00329 10.2918i 0.262829 0.675688i
\(233\) −22.5624 13.0264i −1.47811 0.853389i −0.478420 0.878131i \(-0.658790\pi\)
−0.999694 + 0.0247423i \(0.992123\pi\)
\(234\) 4.98446 10.5593i 0.325844 0.690284i
\(235\) 27.7219 16.0053i 1.80838 1.04407i
\(236\) −0.503717 + 1.99506i −0.0327892 + 0.129867i
\(237\) 9.58042 + 1.53319i 0.622315 + 0.0995916i
\(238\) −11.3385 + 6.60743i −0.734963 + 0.428296i
\(239\) 8.32874i 0.538742i 0.963037 + 0.269371i \(0.0868157\pi\)
−0.963037 + 0.269371i \(0.913184\pi\)
\(240\) −19.5907 2.55559i −1.26457 0.164962i
\(241\) 6.24112 3.60331i 0.402026 0.232110i −0.285332 0.958429i \(-0.592104\pi\)
0.687358 + 0.726319i \(0.258771\pi\)
\(242\) −2.18841 + 17.6071i −0.140676 + 1.13183i
\(243\) −15.0893 + 3.91334i −0.967977 + 0.251041i
\(244\) 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
\(248\) 0.426065 + 2.76981i 0.0270551 + 0.175883i
\(249\) −0.223470 + 0.0853699i −0.0141618 + 0.00541010i
\(250\) −2.93356 6.93965i −0.185535 0.438902i
\(251\) 8.41270i 0.531005i −0.964110 0.265502i \(-0.914462\pi\)
0.964110 0.265502i \(-0.0855378\pi\)
\(252\) −14.3827 6.71842i −0.906027 0.423220i
\(253\) 17.6982i 1.11268i
\(254\) 20.3690 8.61047i 1.27806 0.540269i
\(255\) 16.1826 6.18207i 1.01339 0.387136i
\(256\) −15.9731 + 0.926576i −0.998322 + 0.0579110i
\(257\) −15.1284 + 26.2032i −0.943685 + 1.63451i −0.185321 + 0.982678i \(0.559332\pi\)
−0.758364 + 0.651832i \(0.774001\pi\)
\(258\) −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
\(261\) −8.72950 + 7.80936i −0.540342 + 0.483387i
\(262\) −14.1514 1.75889i −0.874276 0.108665i
\(263\) 20.9078 12.0711i 1.28923 0.744338i 0.310714 0.950504i \(-0.399432\pi\)
0.978517 + 0.206166i \(0.0660986\pi\)
\(264\) 11.7610 + 20.6587i 0.723837 + 1.27145i
\(265\) 5.72701i 0.351808i
\(266\) −20.4288 11.6849i −1.25257 0.716445i
\(267\) −1.98733 0.318041i −0.121623 0.0194638i
\(268\) −2.84241 + 11.2579i −0.173628 + 0.687683i
\(269\) 17.4083 10.0507i 1.06140 0.612800i 0.135581 0.990766i \(-0.456710\pi\)
0.925819 + 0.377966i \(0.123377\pi\)
\(270\) 17.2983 + 11.8273i 1.05274 + 0.719788i
\(271\) −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
\(273\) −12.6062 0.390851i −0.762959 0.0236554i
\(274\) 16.8091 22.2377i 1.01547 1.34343i
\(275\) 7.59832 13.1607i 0.458196 0.793618i
\(276\) −7.55744 10.1251i −0.454904 0.609461i
\(277\) 11.4072 6.58598i 0.685395 0.395713i −0.116490 0.993192i \(-0.537164\pi\)
0.801885 + 0.597479i \(0.203831\pi\)
\(278\) 0.145673 0.0615797i 0.00873690 0.00369331i
\(279\) 0.927606 2.82393i 0.0555343 0.169064i
\(280\) 5.90393 + 20.5066i 0.352827 + 1.22551i
\(281\) 15.3821i 0.917618i 0.888535 + 0.458809i \(0.151724\pi\)
−0.888535 + 0.458809i \(0.848276\pi\)
\(282\) −26.7001 + 6.56944i −1.58997 + 0.391205i
\(283\) 4.64882 + 8.05200i 0.276344 + 0.478641i 0.970473 0.241209i \(-0.0775438\pi\)
−0.694129 + 0.719850i \(0.744210\pi\)
\(284\) 13.9908 + 13.5913i 0.830204 + 0.806493i
\(285\) 24.1118 + 19.5897i 1.42826 + 1.16039i
\(286\) 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
\(290\) 15.6250 + 1.94204i 0.917529 + 0.114041i
\(291\) −17.9523 + 6.85812i −1.05238 + 0.402030i
\(292\) 0.164525 0.651630i 0.00962810 0.0381338i
\(293\) 17.8462i 1.04258i 0.853378 + 0.521292i \(0.174550\pi\)
−0.853378 + 0.521292i \(0.825450\pi\)
\(294\) −0.462177 + 17.1402i −0.0269547 + 0.999637i
\(295\) −2.93385 −0.170815
\(296\) −2.71325 + 2.17722i −0.157704 + 0.126548i
\(297\) −1.19805 25.1854i −0.0695179 1.46141i
\(298\) −1.91817 + 15.4329i −0.111117 + 0.894004i
\(299\) −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
\(303\) 9.56593 + 7.77185i 0.549548 + 0.446481i
\(304\) 22.1440 + 11.9433i 1.27004 + 0.684993i
\(305\) −6.14172 + 3.54592i −0.351674 + 0.203039i
\(306\) −14.8296 + 1.22720i −0.847754 + 0.0701544i
\(307\) −17.6654 −1.00822 −0.504110 0.863640i \(-0.668179\pi\)
−0.504110 + 0.863640i \(0.668179\pi\)
\(308\) 15.4001 20.5456i 0.877504 1.17069i
\(309\) 0.475709 2.97255i 0.0270622 0.169103i
\(310\) −3.68035 + 1.55578i −0.209030 + 0.0883621i
\(311\) −4.15091 7.18958i −0.235376 0.407684i 0.724006 0.689794i \(-0.242299\pi\)
−0.959382 + 0.282110i \(0.908966\pi\)
\(312\) 13.4828 + 0.0817063i 0.763312 + 0.00462571i
\(313\) −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
\(315\) 4.26761 22.2281i 0.240452 1.25241i
\(316\) 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 \(0.866496\pi\)
\(318\) −1.37059 + 4.72461i −0.0768586 + 0.264943i
\(319\) −9.47258 16.4070i −0.530362 0.918615i
\(320\) −6.85618 21.7584i −0.383272 1.21633i
\(321\) −1.81984 0.291237i −0.101574 0.0162553i
\(322\) −6.77570 + 11.8460i −0.377595 + 0.660154i
\(323\) −22.0606 −1.22748
\(324\) −11.4400 13.8970i −0.635556 0.772054i
\(325\) −4.30964 7.46452i −0.239056 0.414057i
\(326\) −16.3058 2.02666i −0.903096 0.112247i
\(327\) −12.1988 9.91097i −0.674598 0.548078i
\(328\) −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 0.437027 0.899448i \(-0.356031\pi\)
−0.560431 + 0.828201i \(0.689365\pi\)
\(332\) −0.198132 0.192474i −0.0108739 0.0105634i
\(333\) 3.61164 0.755539i 0.197916 0.0414033i
\(334\) −10.0960 + 4.26784i −0.552430 + 0.233526i
\(335\) −16.5553 −0.904513
\(336\) 0.0370842 18.3303i 0.00202311 0.999998i
\(337\) 11.1713 0.608541 0.304271 0.952586i \(-0.401587\pi\)
0.304271 + 0.952586i \(0.401587\pi\)
\(338\) −7.06709 + 2.98743i −0.384399 + 0.162495i
\(339\) −27.2028 + 10.3920i −1.47746 + 0.564416i
\(340\) 14.3478 + 13.9380i 0.778117 + 0.755894i
\(341\) 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
\(345\) 11.3594 13.9817i 0.611572 0.752749i
\(346\) −1.42685 0.177345i −0.0767079 0.00953410i
\(347\) 7.23643 + 12.5339i 0.388472 + 0.672853i 0.992244 0.124304i \(-0.0396697\pi\)
−0.603772 + 0.797157i \(0.706336\pi\)
\(348\) −12.4253 5.34148i −0.666068 0.286333i
\(349\) −22.8018 −1.22055 −0.610275 0.792189i \(-0.708941\pi\)
−0.610275 + 0.792189i \(0.708941\pi\)
\(350\) −10.1244 + 5.89992i −0.541169 + 0.315364i
\(351\) −12.7107 6.55390i −0.678448 0.349821i
\(352\) −15.9107 + 22.3678i −0.848043 + 1.19221i
\(353\) 2.06060 + 3.56907i 0.109675 + 0.189962i 0.915639 0.402003i \(-0.131686\pi\)
−0.805964 + 0.591965i \(0.798352\pi\)
\(354\) 2.42033 + 0.702127i 0.128639 + 0.0373176i
\(355\) −13.9056 + 24.0852i −0.738034 + 1.27831i
\(356\) −0.633942 2.23584i −0.0335989 0.118499i
\(357\) 7.60108 + 14.1616i 0.402292 + 0.749513i
\(358\) 24.3919 + 18.4374i 1.28915 + 0.974449i
\(359\) −9.83790 5.67992i −0.519225 0.299775i 0.217393 0.976084i \(-0.430245\pi\)
−0.736617 + 0.676310i \(0.763578\pi\)
\(360\) −3.96838 + 23.8692i −0.209152 + 1.25802i
\(361\) −10.2811 17.8074i −0.541112 0.937234i
\(362\) 12.2061 5.15981i 0.641537 0.271194i
\(363\) 21.4571 + 3.43387i 1.12621 + 0.180232i
\(364\) −5.72456 13.3910i −0.300048 0.701882i
\(365\) 0.958259 0.0501576
\(366\) 5.91533 1.45544i 0.309200 0.0760772i
\(367\) 24.2527 14.0023i 1.26598 0.730914i 0.291755 0.956493i \(-0.405761\pi\)
0.974225 + 0.225580i \(0.0724275\pi\)
\(368\) 6.92553 12.8406i 0.361018 0.669363i
\(369\) 4.71010 4.21363i 0.245198 0.219353i
\(370\) −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 0.994860 0.101259i \(-0.0322872\pi\)
0.409737 + 0.912204i \(0.365621\pi\)
\(374\) 2.96865 23.8847i 0.153505 1.23505i
\(375\) −8.61992 + 3.29298i −0.445131 + 0.170049i
\(376\) −19.8710 24.7632i −1.02477 1.27706i
\(377\) −10.7454 −0.553416
\(378\) −8.84026 + 17.3162i −0.454694 + 0.890648i
\(379\) 28.8128i 1.48001i −0.672600 0.740006i \(-0.734822\pi\)
0.672600 0.740006i \(-0.265178\pi\)
\(380\) −8.78162 + 34.7811i −0.450488 + 1.78423i
\(381\) −9.66541 25.3008i −0.495174 1.29620i
\(382\) 12.4887 + 1.55223i 0.638977 + 0.0794190i
\(383\) 12.6701 21.9453i 0.647413 1.12135i −0.336325 0.941746i \(-0.609184\pi\)
0.983738 0.179607i \(-0.0574826\pi\)
\(384\) 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
\(387\) 10.2364 + 11.4425i 0.520347 + 0.581657i
\(388\) −15.9168 15.4622i −0.808053 0.784975i
\(389\) −2.20886 3.82586i −0.111994 0.193979i 0.804580 0.593844i \(-0.202390\pi\)
−0.916574 + 0.399865i \(0.869057\pi\)
\(390\) 4.59306 + 18.6675i 0.232579 + 0.945267i
\(391\) 12.7923i 0.646932i
\(392\) −18.1737 + 7.85602i −0.917910 + 0.396789i
\(393\) −2.75991 + 17.2458i −0.139219 + 0.869934i
\(394\) 3.57427 1.51093i 0.180069 0.0761198i
\(395\) −13.8337 + 7.98689i −0.696049 + 0.401864i
\(396\) 25.7906 13.5092i 1.29603 0.678861i
\(397\) −8.01775 + 13.8871i −0.402399 + 0.696976i −0.994015 0.109244i \(-0.965157\pi\)
0.591616 + 0.806220i \(0.298490\pi\)
\(398\) −19.8737 + 26.2921i −0.996180 + 1.31790i
\(399\) −15.1785 + 24.5035i −0.759876 + 1.22671i
\(400\) 10.6628 6.57517i 0.533139 0.328759i
\(401\) 6.53545 + 3.77324i 0.326365 + 0.188427i 0.654226 0.756299i \(-0.272994\pi\)
−0.327861 + 0.944726i \(0.606328\pi\)
\(402\) 13.6576 + 3.96201i 0.681180 + 0.197607i
\(403\) 2.36154 1.36343i 0.117637 0.0679175i
\(404\) −3.48395 + 13.7988i −0.173333 + 0.686516i
\(405\) 15.2186 20.6656i 0.756218 1.02688i
\(406\) 0.0589722 + 14.6083i 0.00292674 + 0.725000i
\(407\) 5.96817i 0.295831i
\(408\) −8.50083 14.9321i −0.420854 0.739250i
\(409\) −24.3612 + 14.0650i −1.20458 + 0.695467i −0.961571 0.274556i \(-0.911469\pi\)
−0.243013 + 0.970023i \(0.578136\pi\)
\(410\) −8.43062 1.04785i −0.416359 0.0517496i
\(411\) −26.4977 21.5281i −1.30704 1.06190i
\(412\) 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
\(416\) 6.47483 + 14.1586i 0.317454 + 0.694183i
\(417\) −0.0691243 0.180945i −0.00338503 0.00886090i
\(418\) 39.7569 16.8062i 1.94457 0.822019i
\(419\) 19.5661i 0.955866i −0.878396 0.477933i \(-0.841386\pi\)
0.878396 0.477933i \(-0.158614\pi\)
\(420\) 25.3533 6.34671i 1.23711 0.309688i
\(421\) 26.0983i 1.27195i 0.771708 + 0.635977i \(0.219403\pi\)
−0.771708 + 0.635977i \(0.780597\pi\)
\(422\) 11.2287 + 26.5626i 0.546603 + 1.29305i
\(423\) 6.89562 + 32.9625i 0.335277 + 1.60269i
\(424\) −5.61439 + 0.863632i −0.272659 + 0.0419417i
\(425\) −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
\(429\) 14.5859 17.9530i 0.704214 0.866777i
\(430\) 2.54561 20.4810i 0.122760 0.987683i
\(431\) 10.4072 6.00858i 0.501296 0.289423i −0.227953 0.973672i \(-0.573203\pi\)
0.729248 + 0.684249i \(0.239870\pi\)
\(432\) 8.98616 18.7416i 0.432347 0.901707i
\(433\) 35.6343i 1.71247i 0.516583 + 0.856237i \(0.327204\pi\)
−0.516583 + 0.856237i \(0.672796\pi\)
\(434\) −1.86655 3.20302i −0.0895972 0.153750i
\(435\) 3.04729 19.0415i 0.146107 0.912972i
\(436\) 4.44287 17.5968i 0.212775 0.842733i
\(437\) −19.8674 + 11.4705i −0.950389 + 0.548707i
\(438\) −0.790533 0.229330i −0.0377732 0.0109578i
\(439\) −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
\(441\) 20.9597 + 1.30095i 0.998079 + 0.0619500i
\(442\) −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 \(-0.0221536\pi\)
\(444\) 2.54852 + 3.41439i 0.120947 + 0.162040i
\(445\) 2.86962 1.65678i 0.136033 0.0785387i
\(446\) 6.31402 + 14.9365i 0.298978 + 0.707263i
\(447\) 18.8075 + 3.00984i 0.889563 + 0.142360i
\(448\) 19.2131 8.88022i 0.907732 0.419551i
\(449\) 30.6292i 1.44548i −0.691120 0.722740i \(-0.742883\pi\)
0.691120 0.722740i \(-0.257117\pi\)
\(450\) −13.2417 + 1.09579i −0.624220 + 0.0516562i
\(451\) 5.11103 + 8.85257i 0.240669 + 0.416851i
\(452\) −24.1185 23.4297i −1.13444 1.10204i
\(453\) 9.10281 11.2041i 0.427687 0.526416i
\(454\) 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 \(0.0790950\pi\)
\(458\) −0.395839 + 3.18478i −0.0184964 + 0.148815i
\(459\) 0.865951 + 18.2040i 0.0404191 + 0.849691i
\(460\) 20.1685 + 5.09219i 0.940362 + 0.237425i
\(461\) 30.8362i 1.43618i 0.695948 + 0.718092i \(0.254985\pi\)
−0.695948 + 0.718092i \(0.745015\pi\)
\(462\) −24.4871 19.7310i −1.13924 0.917969i
\(463\) −32.3199 −1.50203 −0.751016 0.660284i \(-0.770436\pi\)
−0.751016 + 0.660284i \(0.770436\pi\)
\(464\) −0.452391 15.6105i −0.0210017 0.724701i
\(465\) 1.74639 + 4.57146i 0.0809867 + 0.211996i
\(466\) −36.5629 4.54444i −1.69375 0.210517i
\(467\) 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
\(471\) 11.8435 14.5775i 0.545722 0.671698i
\(472\) 0.442424 + 2.87615i 0.0203642 + 0.132386i
\(473\) −21.5061 + 12.4166i −0.988852 + 0.570914i
\(474\) 13.3238 3.27826i 0.611981 0.150575i
\(475\) −19.6984 −0.903823
\(476\) −11.1312 + 14.8504i −0.510199 + 0.680665i
\(477\) 5.72409 + 1.88025i 0.262088 + 0.0860910i
\(478\) 4.58618 + 10.8491i 0.209767 + 0.496226i
\(479\) −17.6827 30.6273i −0.807943 1.39940i −0.914286 0.405068i \(-0.867248\pi\)
0.106344 0.994329i \(-0.466086\pi\)
\(480\) −26.9262 + 7.45857i −1.22901 + 0.340436i
\(481\) 2.93154 + 1.69253i 0.133667 + 0.0771726i
\(482\) 6.14559 8.13034i 0.279924 0.370327i
\(483\) 14.2088 + 8.80156i 0.646524 + 0.400485i
\(484\) 6.84464 + 24.1402i 0.311120 + 1.09728i
\(485\) 15.8198 27.4008i 0.718342 1.24421i
\(486\) −17.5005 + 13.4064i −0.793841 + 0.608126i
\(487\) 16.4191 + 28.4386i 0.744018 + 1.28868i 0.950652 + 0.310259i \(0.100416\pi\)
−0.206634 + 0.978418i \(0.566251\pi\)
\(488\) 4.40236 + 5.48621i 0.199286 + 0.248349i
\(489\) −3.18008 + 19.8713i −0.143808 + 0.898610i
\(490\) −17.2037 22.3818i −0.777185 1.01111i
\(491\) 22.5295 1.01674 0.508371 0.861138i \(-0.330248\pi\)
0.508371 + 0.861138i \(0.330248\pi\)
\(492\) 6.70422 + 2.88205i 0.302250 + 0.129933i
\(493\) 6.84678 + 11.8590i 0.308363 + 0.534101i
\(494\) 3.01959 24.2945i 0.135858 1.09306i
\(495\) 27.6774 + 30.9385i 1.24401 + 1.39058i
\(496\) 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 0.731346 0.682007i \(-0.238893\pi\)
−0.224962 + 0.974367i \(0.572226\pi\)
\(500\) −7.64256 7.42429i −0.341786 0.332024i
\(501\) 4.79073 + 12.5405i 0.214034 + 0.560270i
\(502\) −4.63241 10.9585i −0.206755 0.489100i
\(503\) −2.77607 −0.123779 −0.0618894 0.998083i \(-0.519713\pi\)
−0.0618894 + 0.998083i \(0.519713\pi\)
\(504\) −22.4345 0.831688i −0.999314 0.0370463i
\(505\) −20.2919 −0.902978
\(506\) −9.74542 23.0538i −0.433237 1.02487i
\(507\) 3.35345 + 8.77822i 0.148932 + 0.389854i
\(508\) 21.7915 22.4321i 0.966841 0.995265i
\(509\) −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
\(513\) −27.4959 + 17.6680i −1.21397 + 0.780059i
\(514\) −5.27775 + 42.4629i −0.232792 + 1.87296i
\(515\) 2.47812 + 4.29223i 0.109199 + 0.189138i
\(516\) −7.00156 + 16.2870i −0.308226 + 0.716995i
\(517\) −54.4701 −2.39559
\(518\) 2.28490 3.99471i 0.100393 0.175518i
\(519\) −0.278275 + 1.73885i −0.0122149 + 0.0763270i
\(520\) −17.3133 + 13.8929i −0.759239 + 0.609244i
\(521\) 2.92633 + 5.06856i 0.128205 + 0.222058i 0.922981 0.384845i \(-0.125745\pi\)
−0.794776 + 0.606903i \(0.792412\pi\)
\(522\) −7.07093 + 14.9794i −0.309486 + 0.655630i
\(523\) −9.81038 + 16.9921i −0.428978 + 0.743012i −0.996783 0.0801516i \(-0.974460\pi\)
0.567805 + 0.823163i \(0.307793\pi\)
\(524\) −19.4023 + 5.50125i −0.847591 + 0.240323i
\(525\) 6.78717 + 12.6452i 0.296216 + 0.551883i
\(526\) 20.5878 27.2367i 0.897670 1.18758i
\(527\) −3.00947 1.73752i −0.131094 0.0756874i
\(528\) 26.6955 + 20.4341i 1.16177 + 0.889279i
\(529\) −4.84862 8.39806i −0.210810 0.365133i
\(530\) −3.15355 7.46006i −0.136982 0.324044i
\(531\) 0.963222 2.93235i 0.0418003 0.127253i
\(532\) −33.0449 3.97179i −1.43268 0.172199i
\(533\) 5.79779 0.251130
\(534\) −2.76384 + 0.680032i −0.119603 + 0.0294279i
\(535\) 2.62777 1.51715i 0.113609 0.0655919i
\(536\) 2.49654 + 16.2297i 0.107834 + 0.701018i
\(537\) 23.6136 29.0647i 1.01900 1.25423i
\(538\) 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 \(-0.989876\pi\)
−0.527287 0.849687i \(-0.676791\pi\)
\(542\) −2.55886 0.318043i −0.109913 0.0136611i
\(543\) −5.79199 15.1615i −0.248558 0.650642i
\(544\) 11.5003 16.1675i 0.493070 0.693174i
\(545\) 25.8771 1.10845
\(546\) −16.6361 + 6.43239i −0.711960 + 0.275281i
\(547\) 13.0813i 0.559315i 0.960100 + 0.279658i \(0.0902209\pi\)
−0.960100 + 0.279658i \(0.909779\pi\)
\(548\) 9.65058 38.2228i 0.412252 1.63280i
\(549\) −1.52771 7.30276i −0.0652010 0.311674i
\(550\) 2.65078 21.3272i 0.113029 0.909394i
\(551\) −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
\(555\) −3.83063 + 4.71490i −0.162601 + 0.200136i
\(556\) 0.155847 0.160429i 0.00660937 0.00680369i
\(557\) −19.2814 33.3964i −0.816980 1.41505i −0.907898 0.419192i \(-0.862313\pi\)
0.0909180 0.995858i \(-0.471020\pi\)
\(558\) −0.346674 4.18926i −0.0146759 0.177345i
\(559\) 14.0849i 0.595730i
\(560\) 18.9824 + 23.4612i 0.802153 + 0.991416i
\(561\) −29.1074 4.65817i −1.22891 0.196668i
\(562\) 8.47007 + 20.0368i 0.357288 + 0.845203i
\(563\) 9.75701 5.63321i 0.411209 0.237411i −0.280100 0.959971i \(-0.590368\pi\)
0.691309 + 0.722559i \(0.257034\pi\)
\(564\) −31.1623 + 23.2597i −1.31217 + 0.979409i
\(565\) 23.9716 41.5200i 1.00849 1.74676i
\(566\) 10.4894 + 7.92875i 0.440902 + 0.333270i
\(567\) 20.8157 + 11.5632i 0.874176 + 0.485609i
\(568\) 25.7086 + 10.0001i 1.07871 + 0.419595i
\(569\) 26.7497 + 15.4440i 1.12141 + 0.647445i 0.941760 0.336286i \(-0.109171\pi\)
0.179648 + 0.983731i \(0.442504\pi\)
\(570\) 42.1952 + 12.2406i 1.76736 + 0.512703i
\(571\) −6.49082 + 3.74748i −0.271633 + 0.156827i −0.629629 0.776896i \(-0.716793\pi\)
0.357997 + 0.933723i \(0.383460\pi\)
\(572\) 25.8971 + 6.53855i 1.08281 + 0.273390i
\(573\) 2.43564 15.2195i 0.101750 0.635803i
\(574\) −0.0318191 7.88209i −0.00132810 0.328992i
\(575\) 11.4225i 0.476350i
\(576\) 23.9982 + 0.290872i 0.999927 + 0.0121197i
\(577\) 18.4495 10.6518i 0.768064 0.443442i −0.0641196 0.997942i \(-0.520424\pi\)
0.832184 + 0.554500i \(0.187091\pi\)
\(578\) 0.819596 6.59418i 0.0340907 0.274282i
\(579\) 16.2905 20.0510i 0.677010 0.833292i
\(580\) 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
\(584\) −0.144505 0.939414i −0.00597967 0.0388732i
\(585\) 23.0459 4.82112i 0.952833 0.199329i
\(586\) 9.82690 + 23.2466i 0.405946 + 0.960307i
\(587\) 15.2002i 0.627381i −0.949525 0.313691i \(-0.898435\pi\)
0.949525 0.313691i \(-0.101565\pi\)
\(588\) 8.83613 + 22.5815i 0.364396 + 0.931244i
\(589\) 6.23194i 0.256783i
\(590\) −3.82166 + 1.61551i −0.157335 + 0.0665095i
\(591\) −1.69605 4.43970i −0.0697663 0.182625i
\(592\) −2.33543 + 4.33010i −0.0959854 + 0.177966i
\(593\) −4.55071 + 7.88206i −0.186875 + 0.323678i −0.944207 0.329353i \(-0.893169\pi\)
0.757332 + 0.653031i \(0.226503\pi\)
\(594\) −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
\(597\) 31.3288 + 25.4531i 1.28220 + 1.04173i
\(598\) −14.0877 1.75097i −0.576087 0.0716024i
\(599\) −37.6136 + 21.7162i −1.53685 + 0.887302i −0.537831 + 0.843053i \(0.680756\pi\)
−0.999021 + 0.0442488i \(0.985911\pi\)
\(600\) −7.59057 13.3332i −0.309884 0.544326i
\(601\) 15.5284i 0.633415i 0.948523 + 0.316708i \(0.102577\pi\)
−0.948523 + 0.316708i \(0.897423\pi\)
\(602\) 19.1485 0.0773002i 0.780433 0.00315052i
\(603\) 5.43533 16.5469i 0.221344 0.673841i
\(604\) 16.1619 + 4.08059i 0.657618 + 0.166037i
\(605\) −30.9831 + 17.8881i −1.25964 + 0.727256i
\(606\) 16.7402 + 4.85625i 0.680024 + 0.197272i
\(607\) 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
\(609\) 17.8830 + 0.554459i 0.724657 + 0.0224678i
\(610\) −6.04771 + 8.00086i −0.244865 + 0.323945i
\(611\) −15.4473 + 26.7555i −0.624930 + 1.08241i
\(612\) −18.6415 + 9.76443i −0.753536 + 0.394704i
\(613\) −35.7276 + 20.6273i −1.44302 + 0.833131i −0.998050 0.0624126i \(-0.980121\pi\)
−0.444974 + 0.895543i \(0.646787\pi\)
\(614\) −23.0112 + 9.72739i −0.928655 + 0.392565i
\(615\) −1.64420 + 10.2741i −0.0663006 + 0.414291i
\(616\) 8.74702 35.2429i 0.352427 1.41998i
\(617\) 15.3232i 0.616887i −0.951243 0.308444i \(-0.900192\pi\)
0.951243 0.308444i \(-0.0998081\pi\)
\(618\) −1.01716 4.13402i −0.0409161 0.166295i
\(619\) −7.95796 13.7836i −0.319857 0.554009i 0.660601 0.750738i \(-0.270302\pi\)
−0.980458 + 0.196728i \(0.936968\pi\)
\(620\) −3.93738 + 4.05313i −0.158129 + 0.162778i
\(621\) 10.2451 + 15.9440i 0.411122 + 0.639812i
\(622\) −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
\(626\) −37.4267 4.65180i −1.49587 0.185923i
\(627\) −18.8653 49.3831i −0.753407 1.97217i
\(628\) 21.0280 + 5.30920i 0.839110 + 0.211860i
\(629\) 4.31380i 0.172002i
\(630\) −6.68078 31.3045i −0.266169 1.24720i
\(631\) −27.9268 −1.11175 −0.555875 0.831266i \(-0.687617\pi\)
−0.555875 + 0.831266i \(0.687617\pi\)
\(632\) 9.91594 + 12.3572i 0.394435 + 0.491544i
\(633\) 32.9941 12.6044i 1.31140 0.500980i
\(634\) −5.02703 + 40.4457i −0.199649 + 1.60630i
\(635\) 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
\(639\) −19.5076 21.8060i −0.771708 0.862634i
\(640\) −20.9121 24.5673i −0.826622 0.971108i
\(641\) 7.03036 4.05898i 0.277683 0.160320i −0.354691 0.934984i \(-0.615414\pi\)
0.632374 + 0.774663i \(0.282081\pi\)
\(642\) −2.53091 + 0.622720i −0.0998871 + 0.0245768i
\(643\) 21.5611 0.850285 0.425143 0.905126i \(-0.360224\pi\)
0.425143 + 0.905126i \(0.360224\pi\)
\(644\) −2.30312 + 19.1618i −0.0907558 + 0.755079i
\(645\) −24.9595 3.99436i −0.982778 0.157278i
\(646\) −28.7363 + 12.1475i −1.13061 + 0.477939i
\(647\) 19.5173 + 33.8049i 0.767304 + 1.32901i 0.939020 + 0.343863i \(0.111736\pi\)
−0.171716 + 0.985147i \(0.554931\pi\)
\(648\) −22.5542 11.8029i −0.886011 0.463663i
\(649\) 4.32348 + 2.49616i 0.169712 + 0.0979830i
\(650\) −9.72408 7.35027i −0.381410 0.288301i
\(651\) −4.00055 + 2.14725i −0.156794 + 0.0841572i
\(652\) −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 \(0.275125\pi\)
\(654\) −21.3478 6.19288i −0.834763 0.242161i
\(655\) −14.3772 24.9021i −0.561765 0.973006i
\(656\) 0.244092 + 8.42284i 0.00953021 + 0.328857i
\(657\) −0.314609 + 0.957770i −0.0122741 + 0.0373662i
\(658\) 36.4588 + 20.8537i 1.42131 + 0.812962i
\(659\) −6.99022 −0.272300 −0.136150 0.990688i \(-0.543473\pi\)
−0.136150 + 0.990688i \(0.543473\pi\)
\(660\) −18.9309 + 44.0370i −0.736885 + 1.71414i
\(661\) 23.0740 + 39.9653i 0.897474 + 1.55447i 0.830712 + 0.556702i \(0.187933\pi\)
0.0667617 + 0.997769i \(0.478733\pi\)
\(662\) −3.63830 0.452207i −0.141406 0.0175755i
\(663\) −10.5427 + 12.9764i −0.409444 + 0.503962i
\(664\) −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
\(668\) −10.8011 + 11.1186i −0.417907 + 0.430193i
\(669\) 18.5530 7.08760i 0.717301 0.274023i
\(670\) −21.5651 + 9.11610i −0.833133 + 0.352186i
\(671\) 12.0677 0.465869
\(672\) −10.0452 23.8976i −0.387501 0.921869i
\(673\) 8.04494 0.310110 0.155055 0.987906i \(-0.450445\pi\)
0.155055 + 0.987906i \(0.450445\pi\)
\(674\) 14.5519 6.15144i 0.560517 0.236945i
\(675\) 0.773227 + 16.2548i 0.0297615 + 0.625646i
\(676\) −7.56063 + 7.78291i −0.290794 + 0.299343i
\(677\) −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
\(681\) −28.5150 23.1671i −1.09270 0.887764i
\(682\) 6.74725 + 0.838621i 0.258365 + 0.0321125i
\(683\) −20.1018 34.8173i −0.769173 1.33225i −0.938012 0.346603i \(-0.887335\pi\)
0.168839 0.985644i \(-0.445998\pi\)
\(684\) −31.8803 20.1963i −1.21897 0.772223i
\(685\) 56.2088 2.14763
\(686\) 18.5642 18.4762i 0.708784 0.705425i
\(687\) 3.88117 + 0.621119i 0.148076 + 0.0236972i
\(688\) −20.4621 + 0.592989i −0.780112 + 0.0226075i
\(689\) 2.76368 + 4.78683i 0.105288 + 0.182364i
\(690\) 7.09796 24.4677i 0.270215 0.931470i
\(691\) 17.2791 29.9282i 0.657326 1.13852i −0.323979 0.946064i \(-0.605021\pi\)
0.981305 0.192458i \(-0.0616460\pi\)
\(692\) −1.95628 + 0.554678i −0.0743667 + 0.0210857i
\(693\) −25.2010 + 29.1256i −0.957307 + 1.10639i
\(694\) 16.3280 + 12.3420i 0.619801 + 0.468497i
\(695\) 0.276178 + 0.159451i 0.0104760 + 0.00604834i
\(696\) −19.1266 0.115908i −0.724992 0.00439349i
\(697\) −3.69426 6.39864i −0.139930 0.242366i
\(698\) −29.7018 + 12.5557i −1.12423 + 0.475240i
\(699\) −7.13078 + 44.5579i −0.269711 + 1.68533i
\(700\) −9.93931 + 13.2602i −0.375671 + 0.501189i
\(701\) 29.6534 1.11999 0.559997 0.828495i \(-0.310802\pi\)
0.559997 + 0.828495i \(0.310802\pi\)
\(702\) −20.1660 1.53807i −0.761115 0.0580508i
\(703\) 6.69969 3.86807i 0.252684 0.145887i
\(704\) −8.40869 + 37.8977i −0.316915 + 1.42832i
\(705\) −43.0318 34.9612i −1.62067 1.31672i
\(706\) 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 0.304266 0.952587i \(-0.401589\pi\)
−0.672832 + 0.739796i \(0.734922\pi\)
\(710\) −4.85116 + 39.0307i −0.182061 + 1.46480i
\(711\) −3.44103 16.4488i −0.129049 0.616880i
\(712\) −2.05693 2.56335i −0.0770868 0.0960654i
\(713\) −3.61371 −0.135335
\(714\) 17.6993 + 14.2616i 0.662378 + 0.533726i
\(715\) 38.0831i 1.42423i
\(716\) 41.9256 + 10.5855i 1.56683 + 0.395598i
\(717\) 13.4759 5.14807i 0.503269 0.192258i
\(718\) −15.9426 1.98152i −0.594971 0.0739495i
\(719\) −8.51080 + 14.7411i −0.317399 + 0.549752i −0.979945 0.199270i \(-0.936143\pi\)
0.662545 + 0.749022i \(0.269476\pi\)
\(720\) 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
\(723\) −9.68787 7.87092i −0.360296 0.292723i
\(724\) 13.0585 13.4424i 0.485316 0.499584i
\(725\) 6.11364 + 10.5891i 0.227055 + 0.393271i
\(726\) 29.8411 7.34228i 1.10751 0.272497i
\(727\) 42.1153i 1.56197i −0.624550 0.780985i \(-0.714718\pi\)
0.624550 0.780985i \(-0.285282\pi\)
\(728\) −14.8306 14.2911i −0.549658 0.529663i
\(729\) 15.6586 + 21.9956i 0.579949 + 0.814653i
\(730\) 1.24824 0.527661i 0.0461993 0.0195296i
\(731\) 15.5446 8.97469i 0.574939 0.331941i
\(732\) 6.90394 5.15312i 0.255177 0.190465i
\(733\) −20.3500 + 35.2472i −0.751644 + 1.30189i 0.195382 + 0.980727i \(0.437405\pi\)
−0.947026 + 0.321158i \(0.895928\pi\)
\(734\) 23.8815 31.5941i 0.881481 1.16616i
\(735\) −28.1332 + 20.0972i −1.03771 + 0.741295i
\(736\) 1.95064 20.5398i 0.0719017 0.757107i
\(737\) 24.3968 + 14.0855i 0.898669 + 0.518847i
\(738\) 3.81520 8.08230i 0.140439 0.297513i
\(739\) 7.63741 4.40946i 0.280947 0.162205i −0.352905 0.935659i \(-0.614806\pi\)
0.633852 + 0.773454i \(0.281473\pi\)
\(740\) −6.80122 1.71719i −0.250018 0.0631251i
\(741\) −29.6068 4.73810i −1.08763 0.174058i
\(742\) 6.49252 3.78349i 0.238348 0.138896i
\(743\) 16.3412i 0.599502i −0.954017 0.299751i \(-0.903096\pi\)
0.954017 0.299751i \(-0.0969036\pi\)
\(744\) 4.21821 2.40142i 0.154647 0.0880402i
\(745\) −27.1572 + 15.6792i −0.994962 + 0.574441i
\(746\) 43.9604 + 5.46388i 1.60950 + 0.200047i
\(747\) 0.276258 + 0.308808i 0.0101077 + 0.0112987i
\(748\) −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 \(0.0943219\pi\)
\(752\) −39.5198 21.3149i −1.44114 0.777273i
\(753\) −13.6118 + 5.19997i −0.496041 + 0.189497i
\(754\) −13.9970 + 5.91690i −0.509742 + 0.215481i
\(755\) 23.7670i 0.864969i
\(756\) −1.98034 + 27.4240i −0.0720241 + 0.997403i
\(757\) 29.0246i 1.05492i −0.849581 0.527459i \(-0.823145\pi\)
0.849581 0.527459i \(-0.176855\pi\)
\(758\) −15.8656 37.5318i −0.576265 1.36322i
\(759\) −28.6358 + 10.9394i −1.03941 + 0.397075i
\(760\) 7.71305 + 50.1418i 0.279782 + 1.81883i
\(761\) 15.5050 26.8554i 0.562055 0.973507i −0.435262 0.900304i \(-0.643344\pi\)
0.997317 0.0732037i \(-0.0233223\pi\)
\(762\) −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
\(765\) −20.0052 22.3624i −0.723291 0.808513i
\(766\) 4.42015 35.5629i 0.159706 1.28494i
\(767\) 2.45221 1.41578i 0.0885442 0.0511210i
\(768\) 11.3724 + 25.2719i 0.410365 + 0.911922i