Properties

Label 416.2.bf.a.53.1
Level $416$
Weight $2$
Character 416.53
Analytic conductor $3.322$
Analytic rank $0$
Dimension $192$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [416,2,Mod(53,416)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(416, base_ring=CyclotomicField(8))
 
chi = DirichletCharacter(H, H._module([0, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("416.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 416 = 2^{5} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 416.bf (of order \(8\), degree \(4\), 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: \(3.32177672409\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(48\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 53.1
Character \(\chi\) \(=\) 416.53
Dual form 416.2.bf.a.157.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.41213 - 0.0766792i) q^{2} +(2.98623 - 1.23694i) q^{3} +(1.98824 + 0.216563i) q^{4} +(-1.24588 + 3.00782i) q^{5} +(-4.31180 + 1.51774i) q^{6} +(2.81433 + 2.81433i) q^{7} +(-2.79105 - 0.458272i) q^{8} +(5.26623 - 5.26623i) q^{9} +O(q^{10})\) \(q+(-1.41213 - 0.0766792i) q^{2} +(2.98623 - 1.23694i) q^{3} +(1.98824 + 0.216563i) q^{4} +(-1.24588 + 3.00782i) q^{5} +(-4.31180 + 1.51774i) q^{6} +(2.81433 + 2.81433i) q^{7} +(-2.79105 - 0.458272i) q^{8} +(5.26623 - 5.26623i) q^{9} +(1.98999 - 4.15191i) q^{10} +(-2.28952 - 0.948348i) q^{11} +(6.20521 - 1.81262i) q^{12} +(-0.382683 - 0.923880i) q^{13} +(-3.75841 - 4.19002i) q^{14} +10.5231i q^{15} +(3.90620 + 0.861157i) q^{16} +5.03098i q^{17} +(-7.84043 + 7.03281i) q^{18} +(-0.451597 - 1.09025i) q^{19} +(-3.12849 + 5.71046i) q^{20} +(11.8854 + 4.92309i) q^{21} +(3.16038 + 1.51475i) q^{22} +(-3.29411 + 3.29411i) q^{23} +(-8.90158 + 2.08385i) q^{24} +(-3.95924 - 3.95924i) q^{25} +(0.469558 + 1.33398i) q^{26} +(5.50136 - 13.2815i) q^{27} +(4.98609 + 6.20505i) q^{28} +(6.38189 - 2.64347i) q^{29} +(0.806905 - 14.8600i) q^{30} -2.68063 q^{31} +(-5.45004 - 1.51559i) q^{32} -8.01006 q^{33} +(0.385771 - 7.10441i) q^{34} +(-11.9713 + 4.95869i) q^{35} +(11.6110 - 9.33006i) q^{36} +(2.87519 - 6.94132i) q^{37} +(0.554115 + 1.57421i) q^{38} +(-2.28556 - 2.28556i) q^{39} +(4.85572 - 7.82404i) q^{40} +(5.68170 - 5.68170i) q^{41} +(-16.4063 - 7.86343i) q^{42} +(-2.51795 - 1.04297i) q^{43} +(-4.34673 - 2.38137i) q^{44} +(9.27879 + 22.4010i) q^{45} +(4.90431 - 4.39913i) q^{46} -2.66003i q^{47} +(12.7300 - 2.26011i) q^{48} +8.84095i q^{49} +(5.28738 + 5.89457i) q^{50} +(6.22300 + 15.0236i) q^{51} +(-0.560789 - 1.91977i) q^{52} +(-4.80489 - 1.99025i) q^{53} +(-8.78707 + 18.3334i) q^{54} +(5.70493 - 5.70493i) q^{55} +(-6.56523 - 9.14469i) q^{56} +(-2.69714 - 2.69714i) q^{57} +(-9.21478 + 3.24357i) q^{58} +(4.29152 - 10.3607i) q^{59} +(-2.27891 + 20.9225i) q^{60} +(-7.28600 + 3.01796i) q^{61} +(3.78540 + 0.205548i) q^{62} +29.6419 q^{63} +(7.57997 + 2.55812i) q^{64} +3.25564 q^{65} +(11.3113 + 0.614206i) q^{66} +(7.16645 - 2.96844i) q^{67} +(-1.08952 + 10.0028i) q^{68} +(-5.76236 + 13.9116i) q^{69} +(17.2854 - 6.08438i) q^{70} +(-4.87700 - 4.87700i) q^{71} +(-17.1117 + 12.2850i) q^{72} +(-4.84461 + 4.84461i) q^{73} +(-4.59241 + 9.58161i) q^{74} +(-16.7205 - 6.92587i) q^{75} +(-0.661775 - 2.26548i) q^{76} +(-3.77449 - 9.11243i) q^{77} +(3.05226 + 3.40277i) q^{78} +1.23125i q^{79} +(-7.45687 + 10.6763i) q^{80} -24.1236i q^{81} +(-8.45898 + 7.58765i) q^{82} +(-0.0450971 - 0.108874i) q^{83} +(22.5649 + 12.3622i) q^{84} +(-15.1323 - 6.26799i) q^{85} +(3.47571 + 1.66589i) q^{86} +(15.7880 - 15.7880i) q^{87} +(5.95556 + 3.69611i) q^{88} +(-2.37318 - 2.37318i) q^{89} +(-11.3852 - 32.3446i) q^{90} +(1.52311 - 3.67710i) q^{91} +(-7.26287 + 5.83610i) q^{92} +(-8.00496 + 3.31576i) q^{93} +(-0.203969 + 3.75632i) q^{94} +3.84192 q^{95} +(-18.1498 + 2.21545i) q^{96} -5.42571 q^{97} +(0.677918 - 12.4846i) q^{98} +(-17.0513 + 7.06289i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 16 q^{10} - 16 q^{12} - 40 q^{16} - 40 q^{18} - 8 q^{22} - 16 q^{23} + 24 q^{24} + 80 q^{30} - 48 q^{31} - 48 q^{35} + 80 q^{36} - 56 q^{38} - 64 q^{40} - 16 q^{43} - 80 q^{44} + 24 q^{50} + 32 q^{51} - 32 q^{53} - 24 q^{54} + 32 q^{55} + 16 q^{56} - 64 q^{58} - 56 q^{60} - 64 q^{61} + 24 q^{62} + 80 q^{63} + 72 q^{64} + 96 q^{66} + 80 q^{67} - 32 q^{68} - 64 q^{69} - 120 q^{72} - 32 q^{74} + 32 q^{75} + 64 q^{76} - 32 q^{77} - 56 q^{80} - 80 q^{82} - 80 q^{83} + 112 q^{84} - 112 q^{87} - 88 q^{88} - 120 q^{90} + 144 q^{92} + 40 q^{94} + 136 q^{96} + 56 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(287\) \(353\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41213 0.0766792i −0.998529 0.0542204i
\(3\) 2.98623 1.23694i 1.72410 0.714146i 0.724407 0.689373i \(-0.242114\pi\)
0.999693 0.0247726i \(-0.00788619\pi\)
\(4\) 1.98824 + 0.216563i 0.994120 + 0.108281i
\(5\) −1.24588 + 3.00782i −0.557175 + 1.34514i 0.354819 + 0.934935i \(0.384542\pi\)
−0.911994 + 0.410204i \(0.865458\pi\)
\(6\) −4.31180 + 1.51774i −1.76028 + 0.619614i
\(7\) 2.81433 + 2.81433i 1.06372 + 1.06372i 0.997827 + 0.0658916i \(0.0209891\pi\)
0.0658916 + 0.997827i \(0.479011\pi\)
\(8\) −2.79105 0.458272i −0.986787 0.162024i
\(9\) 5.26623 5.26623i 1.75541 1.75541i
\(10\) 1.98999 4.15191i 0.629289 1.31295i
\(11\) −2.28952 0.948348i −0.690315 0.285938i 0.00981654 0.999952i \(-0.496875\pi\)
−0.700131 + 0.714014i \(0.746875\pi\)
\(12\) 6.20521 1.81262i 1.79129 0.523259i
\(13\) −0.382683 0.923880i −0.106137 0.256238i
\(14\) −3.75841 4.19002i −1.00448 1.11983i
\(15\) 10.5231i 2.71706i
\(16\) 3.90620 + 0.861157i 0.976550 + 0.215289i
\(17\) 5.03098i 1.22019i 0.792328 + 0.610095i \(0.208869\pi\)
−0.792328 + 0.610095i \(0.791131\pi\)
\(18\) −7.84043 + 7.03281i −1.84801 + 1.65765i
\(19\) −0.451597 1.09025i −0.103603 0.250121i 0.863574 0.504222i \(-0.168220\pi\)
−0.967178 + 0.254101i \(0.918220\pi\)
\(20\) −3.12849 + 5.71046i −0.699552 + 1.27690i
\(21\) 11.8854 + 4.92309i 2.59361 + 1.07431i
\(22\) 3.16038 + 1.51475i 0.673796 + 0.322946i
\(23\) −3.29411 + 3.29411i −0.686870 + 0.686870i −0.961539 0.274669i \(-0.911432\pi\)
0.274669 + 0.961539i \(0.411432\pi\)
\(24\) −8.90158 + 2.08385i −1.81703 + 0.425364i
\(25\) −3.95924 3.95924i −0.791848 0.791848i
\(26\) 0.469558 + 1.33398i 0.0920878 + 0.261616i
\(27\) 5.50136 13.2815i 1.05874 2.55602i
\(28\) 4.98609 + 6.20505i 0.942283 + 1.17264i
\(29\) 6.38189 2.64347i 1.18509 0.490879i 0.298935 0.954273i \(-0.403368\pi\)
0.886152 + 0.463394i \(0.153368\pi\)
\(30\) 0.806905 14.8600i 0.147320 2.71306i
\(31\) −2.68063 −0.481455 −0.240727 0.970593i \(-0.577386\pi\)
−0.240727 + 0.970593i \(0.577386\pi\)
\(32\) −5.45004 1.51559i −0.963441 0.267922i
\(33\) −8.01006 −1.39437
\(34\) 0.385771 7.10441i 0.0661592 1.21840i
\(35\) −11.9713 + 4.95869i −2.02353 + 0.838172i
\(36\) 11.6110 9.33006i 1.93517 1.55501i
\(37\) 2.87519 6.94132i 0.472678 1.14115i −0.490296 0.871556i \(-0.663112\pi\)
0.962975 0.269591i \(-0.0868885\pi\)
\(38\) 0.554115 + 1.57421i 0.0898893 + 0.255370i
\(39\) −2.28556 2.28556i −0.365983 0.365983i
\(40\) 4.85572 7.82404i 0.767757 1.23709i
\(41\) 5.68170 5.68170i 0.887332 0.887332i −0.106934 0.994266i \(-0.534103\pi\)
0.994266 + 0.106934i \(0.0341033\pi\)
\(42\) −16.4063 7.86343i −2.53154 1.21335i
\(43\) −2.51795 1.04297i −0.383984 0.159051i 0.182337 0.983236i \(-0.441634\pi\)
−0.566321 + 0.824185i \(0.691634\pi\)
\(44\) −4.34673 2.38137i −0.655294 0.359005i
\(45\) 9.27879 + 22.4010i 1.38320 + 3.33934i
\(46\) 4.90431 4.39913i 0.723102 0.648617i
\(47\) 2.66003i 0.388006i −0.981001 0.194003i \(-0.937853\pi\)
0.981001 0.194003i \(-0.0621471\pi\)
\(48\) 12.7300 2.26011i 1.83742 0.326219i
\(49\) 8.84095i 1.26299i
\(50\) 5.28738 + 5.89457i 0.747749 + 0.833618i
\(51\) 6.22300 + 15.0236i 0.871394 + 2.10373i
\(52\) −0.560789 1.91977i −0.0777674 0.266224i
\(53\) −4.80489 1.99025i −0.660002 0.273382i 0.0274375 0.999624i \(-0.491265\pi\)
−0.687439 + 0.726242i \(0.741265\pi\)
\(54\) −8.78707 + 18.3334i −1.19577 + 2.49485i
\(55\) 5.70493 5.70493i 0.769252 0.769252i
\(56\) −6.56523 9.14469i −0.877316 1.22201i
\(57\) −2.69714 2.69714i −0.357245 0.357245i
\(58\) −9.21478 + 3.24357i −1.20996 + 0.425901i
\(59\) 4.29152 10.3607i 0.558709 1.34884i −0.352080 0.935970i \(-0.614525\pi\)
0.910789 0.412873i \(-0.135475\pi\)
\(60\) −2.27891 + 20.9225i −0.294207 + 2.70108i
\(61\) −7.28600 + 3.01796i −0.932877 + 0.386410i −0.796769 0.604284i \(-0.793459\pi\)
−0.136108 + 0.990694i \(0.543459\pi\)
\(62\) 3.78540 + 0.205548i 0.480746 + 0.0261047i
\(63\) 29.6419 3.73452
\(64\) 7.57997 + 2.55812i 0.947497 + 0.319766i
\(65\) 3.25564 0.403813
\(66\) 11.3113 + 0.614206i 1.39232 + 0.0756035i
\(67\) 7.16645 2.96844i 0.875521 0.362653i 0.100763 0.994910i \(-0.467872\pi\)
0.774758 + 0.632258i \(0.217872\pi\)
\(68\) −1.08952 + 10.0028i −0.132124 + 1.21302i
\(69\) −5.76236 + 13.9116i −0.693707 + 1.67476i
\(70\) 17.2854 6.08438i 2.06600 0.727223i
\(71\) −4.87700 4.87700i −0.578794 0.578794i 0.355777 0.934571i \(-0.384216\pi\)
−0.934571 + 0.355777i \(0.884216\pi\)
\(72\) −17.1117 + 12.2850i −2.01663 + 1.44780i
\(73\) −4.84461 + 4.84461i −0.567018 + 0.567018i −0.931292 0.364274i \(-0.881317\pi\)
0.364274 + 0.931292i \(0.381317\pi\)
\(74\) −4.59241 + 9.58161i −0.533857 + 1.11384i
\(75\) −16.7205 6.92587i −1.93072 0.799731i
\(76\) −0.661775 2.26548i −0.0759108 0.259868i
\(77\) −3.77449 9.11243i −0.430143 1.03846i
\(78\) 3.05226 + 3.40277i 0.345600 + 0.385288i
\(79\) 1.23125i 0.138526i 0.997598 + 0.0692630i \(0.0220648\pi\)
−0.997598 + 0.0692630i \(0.977935\pi\)
\(80\) −7.45687 + 10.6763i −0.833703 + 1.19364i
\(81\) 24.1236i 2.68040i
\(82\) −8.45898 + 7.58765i −0.934138 + 0.837915i
\(83\) −0.0450971 0.108874i −0.00495005 0.0119505i 0.921385 0.388651i \(-0.127059\pi\)
−0.926335 + 0.376700i \(0.877059\pi\)
\(84\) 22.5649 + 12.3622i 2.46203 + 1.34883i
\(85\) −15.1323 6.26799i −1.64133 0.679860i
\(86\) 3.47571 + 1.66589i 0.374795 + 0.179637i
\(87\) 15.7880 15.7880i 1.69265 1.69265i
\(88\) 5.95556 + 3.69611i 0.634865 + 0.394007i
\(89\) −2.37318 2.37318i −0.251556 0.251556i 0.570052 0.821609i \(-0.306923\pi\)
−0.821609 + 0.570052i \(0.806923\pi\)
\(90\) −11.3852 32.3446i −1.20010 3.40943i
\(91\) 1.52311 3.67710i 0.159665 0.385465i
\(92\) −7.26287 + 5.83610i −0.757206 + 0.608456i
\(93\) −8.00496 + 3.31576i −0.830076 + 0.343829i
\(94\) −0.203969 + 3.75632i −0.0210378 + 0.387435i
\(95\) 3.84192 0.394172
\(96\) −18.1498 + 2.21545i −1.85240 + 0.226113i
\(97\) −5.42571 −0.550898 −0.275449 0.961316i \(-0.588826\pi\)
−0.275449 + 0.961316i \(0.588826\pi\)
\(98\) 0.677918 12.4846i 0.0684800 1.26114i
\(99\) −17.0513 + 7.06289i −1.71372 + 0.709847i
\(100\) −7.01450 8.72935i −0.701450 0.872935i
\(101\) 1.71982 4.15201i 0.171128 0.413140i −0.814926 0.579565i \(-0.803222\pi\)
0.986054 + 0.166425i \(0.0532224\pi\)
\(102\) −7.63570 21.6926i −0.756047 2.14788i
\(103\) −5.04947 5.04947i −0.497539 0.497539i 0.413132 0.910671i \(-0.364435\pi\)
−0.910671 + 0.413132i \(0.864435\pi\)
\(104\) 0.644702 + 2.75397i 0.0632183 + 0.270049i
\(105\) −29.6156 + 29.6156i −2.89018 + 2.89018i
\(106\) 6.63253 + 3.17893i 0.644208 + 0.308765i
\(107\) 1.05578 + 0.437319i 0.102066 + 0.0422772i 0.433132 0.901330i \(-0.357408\pi\)
−0.331066 + 0.943608i \(0.607408\pi\)
\(108\) 13.8143 25.2154i 1.32928 2.42635i
\(109\) 4.72303 + 11.4024i 0.452384 + 1.09215i 0.971413 + 0.237396i \(0.0762937\pi\)
−0.519029 + 0.854757i \(0.673706\pi\)
\(110\) −8.49356 + 7.61867i −0.809830 + 0.726411i
\(111\) 24.2848i 2.30501i
\(112\) 8.56977 + 13.4169i 0.809767 + 1.26778i
\(113\) 15.2252i 1.43227i 0.697964 + 0.716133i \(0.254089\pi\)
−0.697964 + 0.716133i \(0.745911\pi\)
\(114\) 3.60191 + 4.01554i 0.337350 + 0.376090i
\(115\) −5.80403 14.0122i −0.541229 1.30664i
\(116\) 13.2612 3.87377i 1.23127 0.359670i
\(117\) −6.88066 2.85006i −0.636117 0.263488i
\(118\) −6.85465 + 14.3016i −0.631022 + 1.31656i
\(119\) −14.1588 + 14.1588i −1.29794 + 1.29794i
\(120\) 4.82245 29.3706i 0.440228 2.68116i
\(121\) −3.43566 3.43566i −0.312333 0.312333i
\(122\) 10.5202 3.70308i 0.952456 0.335261i
\(123\) 9.93895 23.9947i 0.896165 2.16353i
\(124\) −5.32973 0.580523i −0.478624 0.0521325i
\(125\) 1.80233 0.746548i 0.161205 0.0667733i
\(126\) −41.8582 2.27292i −3.72903 0.202487i
\(127\) −4.37941 −0.388609 −0.194305 0.980941i \(-0.562245\pi\)
−0.194305 + 0.980941i \(0.562245\pi\)
\(128\) −10.5078 4.19364i −0.928765 0.370669i
\(129\) −8.80926 −0.775612
\(130\) −4.59740 0.249640i −0.403219 0.0218949i
\(131\) −13.8357 + 5.73093i −1.20883 + 0.500714i −0.893842 0.448381i \(-0.852001\pi\)
−0.314988 + 0.949096i \(0.602001\pi\)
\(132\) −15.9259 1.73468i −1.38617 0.150985i
\(133\) 1.79739 4.33927i 0.155853 0.376263i
\(134\) −10.3476 + 3.64231i −0.893896 + 0.314648i
\(135\) 33.0942 + 33.0942i 2.84830 + 2.84830i
\(136\) 2.30556 14.0417i 0.197700 1.20407i
\(137\) 6.40347 6.40347i 0.547085 0.547085i −0.378512 0.925597i \(-0.623564\pi\)
0.925597 + 0.378512i \(0.123564\pi\)
\(138\) 9.20395 19.2031i 0.783492 1.63468i
\(139\) 11.2427 + 4.65688i 0.953594 + 0.394992i 0.804580 0.593844i \(-0.202390\pi\)
0.149013 + 0.988835i \(0.452390\pi\)
\(140\) −24.8758 + 7.26653i −2.10239 + 0.614134i
\(141\) −3.29029 7.94346i −0.277092 0.668960i
\(142\) 6.51301 + 7.26094i 0.546560 + 0.609325i
\(143\) 2.47815i 0.207234i
\(144\) 25.1060 16.0359i 2.09217 1.33632i
\(145\) 22.4890i 1.86761i
\(146\) 7.21271 6.46975i 0.596928 0.535440i
\(147\) 10.9357 + 26.4011i 0.901961 + 2.17753i
\(148\) 7.21980 13.1784i 0.593464 1.08325i
\(149\) 2.69314 + 1.11554i 0.220631 + 0.0913883i 0.490261 0.871576i \(-0.336901\pi\)
−0.269630 + 0.962964i \(0.586901\pi\)
\(150\) 23.0805 + 11.0624i 1.88452 + 0.903239i
\(151\) −4.19802 + 4.19802i −0.341630 + 0.341630i −0.856980 0.515350i \(-0.827662\pi\)
0.515350 + 0.856980i \(0.327662\pi\)
\(152\) 0.760800 + 3.24990i 0.0617090 + 0.263602i
\(153\) 26.4943 + 26.4943i 2.14193 + 2.14193i
\(154\) 4.63135 + 13.1574i 0.373205 + 1.06025i
\(155\) 3.33974 8.06285i 0.268254 0.647623i
\(156\) −4.04928 5.03921i −0.324202 0.403460i
\(157\) 14.2653 5.90890i 1.13850 0.471582i 0.267837 0.963464i \(-0.413691\pi\)
0.870662 + 0.491883i \(0.163691\pi\)
\(158\) 0.0944110 1.73868i 0.00751093 0.138322i
\(159\) −16.8103 −1.33314
\(160\) 11.3487 14.5045i 0.897197 1.14668i
\(161\) −18.5415 −1.46127
\(162\) −1.84978 + 34.0658i −0.145332 + 2.67646i
\(163\) −6.27570 + 2.59948i −0.491551 + 0.203607i −0.614669 0.788785i \(-0.710710\pi\)
0.123119 + 0.992392i \(0.460710\pi\)
\(164\) 12.5270 10.0661i 0.978196 0.786033i
\(165\) 9.97958 24.0928i 0.776909 1.87563i
\(166\) 0.0553348 + 0.157203i 0.00429481 + 0.0122013i
\(167\) 16.5953 + 16.5953i 1.28418 + 1.28418i 0.938267 + 0.345913i \(0.112431\pi\)
0.345913 + 0.938267i \(0.387569\pi\)
\(168\) −30.9167 19.1874i −2.38527 1.48034i
\(169\) −0.707107 + 0.707107i −0.0543928 + 0.0543928i
\(170\) 20.8882 + 10.0116i 1.60205 + 0.767853i
\(171\) −8.11972 3.36330i −0.620931 0.257198i
\(172\) −4.78042 2.61897i −0.364504 0.199694i
\(173\) 2.99935 + 7.24108i 0.228036 + 0.550529i 0.995938 0.0900388i \(-0.0286991\pi\)
−0.767902 + 0.640568i \(0.778699\pi\)
\(174\) −23.5054 + 21.0841i −1.78194 + 1.59838i
\(175\) 22.2853i 1.68461i
\(176\) −8.12663 5.67607i −0.612568 0.427850i
\(177\) 36.2476i 2.72454i
\(178\) 3.16927 + 3.53322i 0.237547 + 0.264826i
\(179\) −6.59756 15.9279i −0.493124 1.19051i −0.953122 0.302587i \(-0.902150\pi\)
0.459997 0.887920i \(-0.347850\pi\)
\(180\) 13.5972 + 46.5480i 1.01348 + 3.46948i
\(181\) −2.64475 1.09549i −0.196582 0.0814271i 0.282220 0.959350i \(-0.408929\pi\)
−0.478803 + 0.877923i \(0.658929\pi\)
\(182\) −2.43279 + 5.07577i −0.180330 + 0.376241i
\(183\) −18.0246 + 18.0246i −1.33242 + 1.33242i
\(184\) 10.7036 7.68444i 0.789083 0.566505i
\(185\) 17.2961 + 17.2961i 1.27164 + 1.27164i
\(186\) 11.5583 4.06849i 0.847497 0.298316i
\(187\) 4.77112 11.5185i 0.348899 0.842316i
\(188\) 0.576064 5.28878i 0.0420138 0.385724i
\(189\) 52.8612 21.8958i 3.84508 1.59269i
\(190\) −5.42530 0.294595i −0.393593 0.0213722i
\(191\) −16.3917 −1.18606 −0.593032 0.805179i \(-0.702069\pi\)
−0.593032 + 0.805179i \(0.702069\pi\)
\(192\) 25.7998 1.73680i 1.86194 0.125343i
\(193\) −7.28239 −0.524198 −0.262099 0.965041i \(-0.584415\pi\)
−0.262099 + 0.965041i \(0.584415\pi\)
\(194\) 7.66183 + 0.416039i 0.550087 + 0.0298699i
\(195\) 9.72209 4.02702i 0.696214 0.288381i
\(196\) −1.91462 + 17.5779i −0.136759 + 1.25557i
\(197\) −7.07961 + 17.0917i −0.504401 + 1.21773i 0.442663 + 0.896688i \(0.354034\pi\)
−0.947064 + 0.321044i \(0.895966\pi\)
\(198\) 24.6203 8.66626i 1.74969 0.615884i
\(199\) −11.5241 11.5241i −0.816920 0.816920i 0.168740 0.985661i \(-0.446030\pi\)
−0.985661 + 0.168740i \(0.946030\pi\)
\(200\) 9.23605 + 12.8649i 0.653087 + 0.909684i
\(201\) 17.7289 17.7289i 1.25050 1.25050i
\(202\) −2.74698 + 5.73131i −0.193277 + 0.403254i
\(203\) 25.4004 + 10.5212i 1.78276 + 0.738442i
\(204\) 9.11925 + 31.2183i 0.638475 + 2.18572i
\(205\) 10.0108 + 24.1683i 0.699186 + 1.68798i
\(206\) 6.74334 + 7.51772i 0.469831 + 0.523784i
\(207\) 34.6951i 2.41147i
\(208\) −0.699233 3.93841i −0.0484831 0.273080i
\(209\) 2.92442i 0.202286i
\(210\) 44.0920 39.5502i 3.04264 2.72923i
\(211\) −3.16194 7.63359i −0.217677 0.525518i 0.776888 0.629639i \(-0.216797\pi\)
−0.994565 + 0.104121i \(0.966797\pi\)
\(212\) −9.12225 4.99765i −0.626519 0.343240i
\(213\) −20.5964 8.53130i −1.41124 0.584555i
\(214\) −1.45737 0.698509i −0.0996238 0.0477491i
\(215\) 6.27413 6.27413i 0.427892 0.427892i
\(216\) −21.4411 + 34.5482i −1.45888 + 2.35071i
\(217\) −7.54418 7.54418i −0.512132 0.512132i
\(218\) −5.79522 16.4639i −0.392502 1.11507i
\(219\) −8.47463 + 20.4596i −0.572662 + 1.38253i
\(220\) 12.5782 10.1073i 0.848025 0.681433i
\(221\) 4.64801 1.92527i 0.312659 0.129508i
\(222\) −1.86214 + 34.2934i −0.124979 + 2.30162i
\(223\) −7.05196 −0.472234 −0.236117 0.971725i \(-0.575875\pi\)
−0.236117 + 0.971725i \(0.575875\pi\)
\(224\) −11.0729 19.6036i −0.739836 1.30982i
\(225\) −41.7005 −2.78004
\(226\) 1.16746 21.5000i 0.0776580 1.43016i
\(227\) 3.19053 1.32156i 0.211763 0.0877151i −0.274281 0.961650i \(-0.588440\pi\)
0.486043 + 0.873935i \(0.338440\pi\)
\(228\) −4.77847 5.94667i −0.316462 0.393828i
\(229\) −6.59378 + 15.9188i −0.435729 + 1.05194i 0.541680 + 0.840585i \(0.317789\pi\)
−0.977409 + 0.211358i \(0.932211\pi\)
\(230\) 7.12162 + 20.2321i 0.469586 + 1.33406i
\(231\) −22.5430 22.5430i −1.48322 1.48322i
\(232\) −19.0236 + 4.45342i −1.24896 + 0.292381i
\(233\) −12.1049 + 12.1049i −0.793018 + 0.793018i −0.981984 0.188965i \(-0.939487\pi\)
0.188965 + 0.981984i \(0.439487\pi\)
\(234\) 9.49787 + 4.55227i 0.620895 + 0.297591i
\(235\) 8.00090 + 3.31408i 0.521921 + 0.216187i
\(236\) 10.7763 19.6701i 0.701478 1.28041i
\(237\) 1.52297 + 3.67678i 0.0989277 + 0.238833i
\(238\) 21.0799 18.9085i 1.36640 1.22566i
\(239\) 4.78738i 0.309670i −0.987940 0.154835i \(-0.950515\pi\)
0.987940 0.154835i \(-0.0494846\pi\)
\(240\) −9.06206 + 41.1054i −0.584953 + 2.65334i
\(241\) 19.6957i 1.26871i 0.773041 + 0.634355i \(0.218734\pi\)
−0.773041 + 0.634355i \(0.781266\pi\)
\(242\) 4.58816 + 5.11505i 0.294938 + 0.328808i
\(243\) −13.3353 32.1942i −0.855459 2.06526i
\(244\) −15.1399 + 4.42256i −0.969233 + 0.283125i
\(245\) −26.5920 11.0148i −1.69890 0.703708i
\(246\) −15.8750 + 33.1217i −1.01215 + 2.11176i
\(247\) −0.834442 + 0.834442i −0.0530943 + 0.0530943i
\(248\) 7.48178 + 1.22846i 0.475093 + 0.0780070i
\(249\) −0.269341 0.269341i −0.0170688 0.0170688i
\(250\) −2.60237 + 0.916024i −0.164588 + 0.0579344i
\(251\) 3.39654 8.19996i 0.214387 0.517577i −0.779701 0.626152i \(-0.784629\pi\)
0.994088 + 0.108575i \(0.0346288\pi\)
\(252\) 58.9351 + 6.41932i 3.71256 + 0.404379i
\(253\) 10.6659 4.41795i 0.670558 0.277754i
\(254\) 6.18430 + 0.335810i 0.388038 + 0.0210706i
\(255\) −52.9416 −3.31533
\(256\) 14.5168 + 6.72771i 0.907301 + 0.420482i
\(257\) 24.4356 1.52425 0.762125 0.647430i \(-0.224156\pi\)
0.762125 + 0.647430i \(0.224156\pi\)
\(258\) 12.4399 + 0.675487i 0.774471 + 0.0420540i
\(259\) 27.6270 11.4435i 1.71666 0.711062i
\(260\) 6.47300 + 0.705051i 0.401439 + 0.0437254i
\(261\) 19.6874 47.5296i 1.21862 2.94201i
\(262\) 19.9773 7.03193i 1.23420 0.434434i
\(263\) −14.0555 14.0555i −0.866699 0.866699i 0.125407 0.992105i \(-0.459976\pi\)
−0.992105 + 0.125407i \(0.959976\pi\)
\(264\) 22.3565 + 3.67079i 1.37595 + 0.225921i
\(265\) 11.9726 11.9726i 0.735473 0.735473i
\(266\) −2.87088 + 5.98981i −0.176025 + 0.367259i
\(267\) −10.0223 4.15138i −0.613356 0.254061i
\(268\) 14.8915 4.34999i 0.909641 0.265718i
\(269\) −8.73781 21.0949i −0.532754 1.28618i −0.929693 0.368336i \(-0.879927\pi\)
0.396939 0.917845i \(-0.370073\pi\)
\(270\) −44.1958 49.2711i −2.68967 2.99855i
\(271\) 13.8283i 0.840008i 0.907522 + 0.420004i \(0.137971\pi\)
−0.907522 + 0.420004i \(0.862029\pi\)
\(272\) −4.33246 + 19.6520i −0.262694 + 1.19158i
\(273\) 12.8647i 0.778605i
\(274\) −9.53356 + 8.55153i −0.575943 + 0.516617i
\(275\) 5.31000 + 12.8195i 0.320205 + 0.773044i
\(276\) −14.4697 + 26.4116i −0.870973 + 1.58979i
\(277\) 7.98404 + 3.30710i 0.479714 + 0.198704i 0.609419 0.792849i \(-0.291403\pi\)
−0.129704 + 0.991553i \(0.541403\pi\)
\(278\) −15.5191 7.43822i −0.930775 0.446115i
\(279\) −14.1168 + 14.1168i −0.845150 + 0.845150i
\(280\) 35.6851 8.35385i 2.13259 0.499238i
\(281\) 20.4757 + 20.4757i 1.22148 + 1.22148i 0.967107 + 0.254371i \(0.0818685\pi\)
0.254371 + 0.967107i \(0.418132\pi\)
\(282\) 4.03723 + 11.4695i 0.240414 + 0.683000i
\(283\) 7.02096 16.9501i 0.417353 1.00758i −0.565759 0.824571i \(-0.691417\pi\)
0.983112 0.183007i \(-0.0585832\pi\)
\(284\) −8.64048 10.7528i −0.512718 0.638063i
\(285\) 11.4728 4.75221i 0.679592 0.281496i
\(286\) 0.190023 3.49948i 0.0112363 0.206929i
\(287\) 31.9804 1.88774
\(288\) −36.6826 + 20.7197i −2.16155 + 1.22092i
\(289\) −8.31071 −0.488865
\(290\) 1.72444 31.7575i 0.101263 1.86487i
\(291\) −16.2024 + 6.71126i −0.949802 + 0.393421i
\(292\) −10.6814 + 8.58308i −0.625082 + 0.502287i
\(293\) 7.62665 18.4124i 0.445554 1.07566i −0.528417 0.848985i \(-0.677214\pi\)
0.973970 0.226676i \(-0.0727859\pi\)
\(294\) −13.4182 38.1204i −0.782568 2.22323i
\(295\) 25.8163 + 25.8163i 1.50308 + 1.50308i
\(296\) −11.2058 + 18.0560i −0.651326 + 1.04948i
\(297\) −25.1909 + 25.1909i −1.46172 + 1.46172i
\(298\) −3.71754 1.78179i −0.215351 0.103217i
\(299\) 4.30396 + 1.78276i 0.248905 + 0.103100i
\(300\) −31.7445 17.3913i −1.83277 1.00409i
\(301\) −4.15109 10.0216i −0.239265 0.577636i
\(302\) 6.25007 5.60627i 0.359651 0.322604i
\(303\) 14.5261i 0.834505i
\(304\) −0.825150 4.64764i −0.0473256 0.266560i
\(305\) 25.6750i 1.47015i
\(306\) −35.3819 39.4450i −2.02265 2.25492i
\(307\) −3.91358 9.44823i −0.223360 0.539239i 0.771982 0.635644i \(-0.219265\pi\)
−0.995342 + 0.0964054i \(0.969265\pi\)
\(308\) −5.53119 18.9351i −0.315169 1.07893i
\(309\) −21.3247 8.83300i −1.21312 0.502492i
\(310\) −5.33441 + 11.1297i −0.302974 + 0.632126i
\(311\) 11.1550 11.1550i 0.632544 0.632544i −0.316161 0.948705i \(-0.602394\pi\)
0.948705 + 0.316161i \(0.102394\pi\)
\(312\) 5.33172 + 7.42653i 0.301849 + 0.420445i
\(313\) −0.338915 0.338915i −0.0191566 0.0191566i 0.697464 0.716620i \(-0.254312\pi\)
−0.716620 + 0.697464i \(0.754312\pi\)
\(314\) −20.5977 + 7.25030i −1.16239 + 0.409158i
\(315\) −36.9302 + 89.1574i −2.08078 + 5.02345i
\(316\) −0.266642 + 2.44801i −0.0149998 + 0.137711i
\(317\) −25.8141 + 10.6926i −1.44987 + 0.600554i −0.962168 0.272458i \(-0.912164\pi\)
−0.487699 + 0.873012i \(0.662164\pi\)
\(318\) 23.7384 + 1.28900i 1.33118 + 0.0722836i
\(319\) −17.1184 −0.958445
\(320\) −17.1381 + 19.6121i −0.958050 + 1.09635i
\(321\) 3.69374 0.206164
\(322\) 26.1830 + 1.42174i 1.45912 + 0.0792307i
\(323\) 5.48503 2.27197i 0.305195 0.126416i
\(324\) 5.22427 47.9635i 0.290237 2.66464i
\(325\) −2.14273 + 5.17300i −0.118857 + 0.286946i
\(326\) 9.06145 3.18960i 0.501867 0.176655i
\(327\) 28.2081 + 28.2081i 1.55991 + 1.55991i
\(328\) −18.4617 + 13.2542i −1.01938 + 0.731839i
\(329\) 7.48622 7.48622i 0.412729 0.412729i
\(330\) −15.9399 + 33.2571i −0.877464 + 1.83074i
\(331\) −5.33866 2.21135i −0.293439 0.121547i 0.231107 0.972928i \(-0.425765\pi\)
−0.524547 + 0.851382i \(0.675765\pi\)
\(332\) −0.0660859 0.226234i −0.00362694 0.0124162i
\(333\) −21.4132 51.6960i −1.17344 2.83292i
\(334\) −22.1622 24.7072i −1.21266 1.35192i
\(335\) 25.2537i 1.37976i
\(336\) 42.1872 + 29.4658i 2.30150 + 1.60749i
\(337\) 15.0228i 0.818345i 0.912457 + 0.409172i \(0.134183\pi\)
−0.912457 + 0.409172i \(0.865817\pi\)
\(338\) 1.05275 0.944309i 0.0572620 0.0513636i
\(339\) 18.8326 + 45.4659i 1.02285 + 2.46937i
\(340\) −28.7292 15.7394i −1.55806 0.853587i
\(341\) 6.13733 + 2.54217i 0.332355 + 0.137666i
\(342\) 11.2082 + 5.37204i 0.606072 + 0.290487i
\(343\) −5.18106 + 5.18106i −0.279751 + 0.279751i
\(344\) 6.54977 + 4.06489i 0.353140 + 0.219164i
\(345\) −34.6643 34.6643i −1.86626 1.86626i
\(346\) −3.68024 10.4554i −0.197851 0.562083i
\(347\) 5.43101 13.1116i 0.291552 0.703869i −0.708446 0.705765i \(-0.750603\pi\)
0.999998 + 0.00189580i \(0.000603454\pi\)
\(348\) 34.8094 27.9712i 1.86598 1.49942i
\(349\) 21.4996 8.90544i 1.15085 0.476697i 0.276031 0.961149i \(-0.410981\pi\)
0.874818 + 0.484452i \(0.160981\pi\)
\(350\) −1.70882 + 31.4698i −0.0913401 + 1.68213i
\(351\) −14.3758 −0.767321
\(352\) 11.0406 + 8.63851i 0.588469 + 0.460434i
\(353\) 34.0510 1.81235 0.906176 0.422900i \(-0.138988\pi\)
0.906176 + 0.422900i \(0.138988\pi\)
\(354\) −2.77944 + 51.1865i −0.147726 + 2.72053i
\(355\) 20.7453 8.59299i 1.10105 0.456069i
\(356\) −4.20451 5.23239i −0.222839 0.277316i
\(357\) −24.7680 + 59.7951i −1.31086 + 3.16469i
\(358\) 8.09529 + 22.9982i 0.427849 + 1.21549i
\(359\) 10.3817 + 10.3817i 0.547927 + 0.547927i 0.925841 0.377914i \(-0.123359\pi\)
−0.377914 + 0.925841i \(0.623359\pi\)
\(360\) −15.6319 66.7745i −0.823871 3.51933i
\(361\) 12.4503 12.4503i 0.655280 0.655280i
\(362\) 3.65073 + 1.74977i 0.191878 + 0.0919661i
\(363\) −14.5094 6.00997i −0.761544 0.315442i
\(364\) 3.82463 6.98112i 0.200465 0.365910i
\(365\) −8.53591 20.6075i −0.446790 1.07865i
\(366\) 26.8353 24.0711i 1.40270 1.25822i
\(367\) 34.1426i 1.78223i 0.453780 + 0.891114i \(0.350075\pi\)
−0.453780 + 0.891114i \(0.649925\pi\)
\(368\) −15.7042 + 10.0307i −0.818638 + 0.522887i
\(369\) 59.8422i 3.11526i
\(370\) −23.0982 25.7507i −1.20082 1.33871i
\(371\) −7.92133 19.1238i −0.411255 0.992857i
\(372\) −16.6339 + 4.85896i −0.862426 + 0.251925i
\(373\) 3.74850 + 1.55268i 0.194090 + 0.0803946i 0.477611 0.878571i \(-0.341503\pi\)
−0.283522 + 0.958966i \(0.591503\pi\)
\(374\) −7.62068 + 15.8998i −0.394056 + 0.822159i
\(375\) 4.45872 4.45872i 0.230248 0.230248i
\(376\) −1.21902 + 7.42430i −0.0628661 + 0.382879i
\(377\) −4.88449 4.88449i −0.251564 0.251564i
\(378\) −76.3260 + 26.8664i −3.92578 + 1.38186i
\(379\) 6.21125 14.9953i 0.319050 0.770256i −0.680254 0.732976i \(-0.738131\pi\)
0.999305 0.0372799i \(-0.0118693\pi\)
\(380\) 7.63865 + 0.832016i 0.391855 + 0.0426815i
\(381\) −13.0779 + 5.41705i −0.670001 + 0.277524i
\(382\) 23.1473 + 1.25691i 1.18432 + 0.0643089i
\(383\) 28.7391 1.46850 0.734249 0.678880i \(-0.237534\pi\)
0.734249 + 0.678880i \(0.237534\pi\)
\(384\) −36.5659 + 0.474285i −1.86600 + 0.0242032i
\(385\) 32.1111 1.63654
\(386\) 10.2837 + 0.558408i 0.523427 + 0.0284222i
\(387\) −18.7526 + 7.76759i −0.953249 + 0.394849i
\(388\) −10.7876 1.17501i −0.547658 0.0596519i
\(389\) −6.72659 + 16.2394i −0.341052 + 0.823372i 0.656558 + 0.754275i \(0.272012\pi\)
−0.997610 + 0.0690965i \(0.977988\pi\)
\(390\) −14.0377 + 4.94121i −0.710826 + 0.250208i
\(391\) −16.5726 16.5726i −0.838112 0.838112i
\(392\) 4.05156 24.6756i 0.204635 1.24631i
\(393\) −34.2278 + 34.2278i −1.72656 + 1.72656i
\(394\) 11.3079 23.5929i 0.569685 1.18859i
\(395\) −3.70337 1.53398i −0.186337 0.0771832i
\(396\) −35.4317 + 10.3500i −1.78051 + 0.520109i
\(397\) 7.41312 + 17.8969i 0.372054 + 0.898218i 0.993402 + 0.114683i \(0.0365853\pi\)
−0.621348 + 0.783535i \(0.713415\pi\)
\(398\) 15.3899 + 17.1572i 0.771425 + 0.860012i
\(399\) 15.1813i 0.760017i
\(400\) −12.0561 18.8751i −0.602803 0.943756i
\(401\) 14.3453i 0.716370i −0.933651 0.358185i \(-0.883396\pi\)
0.933651 0.358185i \(-0.116604\pi\)
\(402\) −26.3950 + 23.6761i −1.31646 + 1.18086i
\(403\) 1.02583 + 2.47658i 0.0511003 + 0.123367i
\(404\) 4.31858 7.88274i 0.214857 0.392181i
\(405\) 72.5595 + 30.0551i 3.60551 + 1.49345i
\(406\) −35.0620 16.8050i −1.74010 0.834018i
\(407\) −13.1656 + 13.1656i −0.652594 + 0.652594i
\(408\) −10.4838 44.7836i −0.519026 2.21712i
\(409\) 2.93002 + 2.93002i 0.144880 + 0.144880i 0.775826 0.630946i \(-0.217333\pi\)
−0.630946 + 0.775826i \(0.717333\pi\)
\(410\) −12.2834 34.8964i −0.606634 1.72341i
\(411\) 11.2015 27.0429i 0.552531 1.33393i
\(412\) −8.94604 11.1331i −0.440740 0.548488i
\(413\) 41.2361 17.0806i 2.02910 0.840480i
\(414\) 2.66039 48.9941i 0.130751 2.40793i
\(415\) 0.383660 0.0188331
\(416\) 0.685416 + 5.61518i 0.0336053 + 0.275307i
\(417\) 39.3336 1.92617
\(418\) 0.224242 4.12967i 0.0109680 0.201989i
\(419\) 22.5931 9.35836i 1.10374 0.457186i 0.244965 0.969532i \(-0.421223\pi\)
0.858779 + 0.512346i \(0.171223\pi\)
\(420\) −65.2965 + 52.4693i −3.18614 + 2.56024i
\(421\) −5.67597 + 13.7030i −0.276630 + 0.667844i −0.999738 0.0228913i \(-0.992713\pi\)
0.723108 + 0.690735i \(0.242713\pi\)
\(422\) 3.87974 + 11.0221i 0.188863 + 0.536548i
\(423\) −14.0083 14.0083i −0.681109 0.681109i
\(424\) 12.4986 + 7.75684i 0.606987 + 0.376705i
\(425\) 19.9188 19.9188i 0.966206 0.966206i
\(426\) 28.4307 + 13.6266i 1.37747 + 0.660213i
\(427\) −28.9988 12.0117i −1.40335 0.581286i
\(428\) 2.00444 + 1.09814i 0.0968882 + 0.0530805i
\(429\) 3.06532 + 7.40033i 0.147995 + 0.357291i
\(430\) −9.34100 + 8.37881i −0.450463 + 0.404062i
\(431\) 12.3254i 0.593695i −0.954925 0.296848i \(-0.904065\pi\)
0.954925 0.296848i \(-0.0959354\pi\)
\(432\) 32.9269 47.1425i 1.58419 2.26815i
\(433\) 27.8891i 1.34026i 0.742243 + 0.670131i \(0.233762\pi\)
−0.742243 + 0.670131i \(0.766238\pi\)
\(434\) 10.0749 + 11.2319i 0.483611 + 0.539147i
\(435\) 27.8175 + 67.1574i 1.33375 + 3.21995i
\(436\) 6.92119 + 23.6936i 0.331465 + 1.13472i
\(437\) 5.07902 + 2.10380i 0.242962 + 0.100638i
\(438\) 13.5361 28.2418i 0.646781 1.34945i
\(439\) −16.3895 + 16.3895i −0.782230 + 0.782230i −0.980207 0.197977i \(-0.936563\pi\)
0.197977 + 0.980207i \(0.436563\pi\)
\(440\) −18.5372 + 13.3084i −0.883725 + 0.634451i
\(441\) 46.5585 + 46.5585i 2.21707 + 2.21707i
\(442\) −6.71124 + 2.36233i −0.319221 + 0.112365i
\(443\) −15.2525 + 36.8227i −0.724667 + 1.74950i −0.0650697 + 0.997881i \(0.520727\pi\)
−0.659597 + 0.751619i \(0.729273\pi\)
\(444\) 5.25918 48.2840i 0.249590 2.29146i
\(445\) 10.0948 4.18140i 0.478539 0.198217i
\(446\) 9.95830 + 0.540739i 0.471539 + 0.0256047i
\(447\) 9.42218 0.445654
\(448\) 14.1332 + 28.5320i 0.667729 + 1.34801i
\(449\) −31.4242 −1.48300 −0.741501 0.670952i \(-0.765886\pi\)
−0.741501 + 0.670952i \(0.765886\pi\)
\(450\) 58.8867 + 3.19757i 2.77595 + 0.150735i
\(451\) −18.3966 + 7.62011i −0.866260 + 0.358817i
\(452\) −3.29721 + 30.2713i −0.155088 + 1.42384i
\(453\) −7.34357 + 17.7289i −0.345031 + 0.832978i
\(454\) −4.60679 + 1.62157i −0.216207 + 0.0761042i
\(455\) 9.16247 + 9.16247i 0.429543 + 0.429543i
\(456\) 6.29185 + 8.76390i 0.294643 + 0.410407i
\(457\) −4.52894 + 4.52894i −0.211855 + 0.211855i −0.805055 0.593200i \(-0.797864\pi\)
0.593200 + 0.805055i \(0.297864\pi\)
\(458\) 10.5319 21.9738i 0.492125 1.02677i
\(459\) 66.8187 + 27.6772i 3.11883 + 1.29186i
\(460\) −8.50530 29.1165i −0.396561 1.35756i
\(461\) −6.62676 15.9984i −0.308639 0.745120i −0.999750 0.0223714i \(-0.992878\pi\)
0.691111 0.722749i \(-0.257122\pi\)
\(462\) 30.1051 + 33.5623i 1.40062 + 1.56146i
\(463\) 6.20003i 0.288140i −0.989568 0.144070i \(-0.953981\pi\)
0.989568 0.144070i \(-0.0460190\pi\)
\(464\) 27.2054 4.83010i 1.26298 0.224232i
\(465\) 28.2086i 1.30814i
\(466\) 18.0219 16.1655i 0.834850 0.748854i
\(467\) 3.69171 + 8.91258i 0.170832 + 0.412425i 0.985988 0.166817i \(-0.0533488\pi\)
−0.815156 + 0.579242i \(0.803349\pi\)
\(468\) −13.0632 7.15670i −0.603846 0.330819i
\(469\) 28.5230 + 11.8146i 1.31707 + 0.545547i
\(470\) −11.0442 5.29343i −0.509432 0.244168i
\(471\) 35.2907 35.2907i 1.62611 1.62611i
\(472\) −16.7259 + 26.9505i −0.769871 + 1.24050i
\(473\) 4.77579 + 4.77579i 0.219591 + 0.219591i
\(474\) −1.86871 5.30888i −0.0858325 0.243845i
\(475\) −2.52859 + 6.10455i −0.116019 + 0.280096i
\(476\) −31.2175 + 25.0849i −1.43085 + 1.14977i
\(477\) −35.7847 + 14.8225i −1.63847 + 0.678677i
\(478\) −0.367093 + 6.76042i −0.0167904 + 0.309214i
\(479\) 7.58274 0.346464 0.173232 0.984881i \(-0.444579\pi\)
0.173232 + 0.984881i \(0.444579\pi\)
\(480\) 15.9488 57.3515i 0.727958 2.61772i
\(481\) −7.51324 −0.342574
\(482\) 1.51025 27.8129i 0.0687900 1.26684i
\(483\) −55.3690 + 22.9346i −2.51938 + 1.04356i
\(484\) −6.08688 7.57495i −0.276676 0.344316i
\(485\) 6.75979 16.3196i 0.306946 0.741034i
\(486\) 16.3626 + 46.4851i 0.742221 + 2.10861i
\(487\) −21.0479 21.0479i −0.953772 0.953772i 0.0452060 0.998978i \(-0.485606\pi\)
−0.998978 + 0.0452060i \(0.985606\pi\)
\(488\) 21.7187 5.08432i 0.983158 0.230156i
\(489\) −15.5253 + 15.5253i −0.702077 + 0.702077i
\(490\) 36.7069 + 17.5934i 1.65825 + 0.794788i
\(491\) −27.2676 11.2946i −1.23057 0.509719i −0.329814 0.944046i \(-0.606986\pi\)
−0.900755 + 0.434327i \(0.856986\pi\)
\(492\) 24.9574 45.5549i 1.12517 2.05377i
\(493\) 13.2992 + 32.1071i 0.598967 + 1.44603i
\(494\) 1.24233 1.11436i 0.0558950 0.0501374i
\(495\) 60.0869i 2.70070i
\(496\) −10.4711 2.30844i −0.470165 0.103652i
\(497\) 27.4510i 1.23135i
\(498\) 0.359692 + 0.400998i 0.0161182 + 0.0179691i
\(499\) 1.62725 + 3.92854i 0.0728459 + 0.175866i 0.956108 0.293013i \(-0.0946581\pi\)
−0.883262 + 0.468879i \(0.844658\pi\)
\(500\) 3.74513 1.09400i 0.167487 0.0489252i
\(501\) 70.0845 + 29.0300i 3.13114 + 1.29696i
\(502\) −5.42513 + 11.3190i −0.242135 + 0.505192i
\(503\) 5.43931 5.43931i 0.242527 0.242527i −0.575368 0.817895i \(-0.695141\pi\)
0.817895 + 0.575368i \(0.195141\pi\)
\(504\) −82.7320 13.5840i −3.68518 0.605081i
\(505\) 10.3458 + 10.3458i 0.460382 + 0.460382i
\(506\) −15.4004 + 5.42089i −0.684632 + 0.240988i
\(507\) −1.23694 + 2.98623i −0.0549343 + 0.132623i
\(508\) −8.70731 0.948416i −0.386325 0.0420791i
\(509\) −13.0802 + 5.41799i −0.579769 + 0.240148i −0.653242 0.757149i \(-0.726592\pi\)
0.0734731 + 0.997297i \(0.476592\pi\)
\(510\) 74.7605 + 4.05952i 3.31045 + 0.179758i
\(511\) −27.2687 −1.20630
\(512\) −19.9838 10.6136i −0.883168 0.469057i
\(513\) −16.9645 −0.749002
\(514\) −34.5063 1.87370i −1.52201 0.0826455i
\(515\) 21.4789 8.89687i 0.946476 0.392043i
\(516\) −17.5149 1.90776i −0.771052 0.0839843i
\(517\) −2.52264 + 6.09018i −0.110945 + 0.267846i
\(518\) −39.8904 + 14.0413i −1.75268 + 0.616938i
\(519\) 17.9135 + 17.9135i 0.786315 + 0.786315i
\(520\) −9.08668 1.49197i −0.398477 0.0654272i
\(521\) −4.78754 + 4.78754i −0.209746 + 0.209746i −0.804160 0.594413i \(-0.797384\pi\)
0.594413 + 0.804160i \(0.297384\pi\)
\(522\) −31.4458 + 65.6085i −1.37634 + 2.87161i
\(523\) 15.8038 + 6.54613i 0.691050 + 0.286242i 0.700438 0.713714i \(-0.252988\pi\)
−0.00938762 + 0.999956i \(0.502988\pi\)
\(524\) −28.7498 + 8.39818i −1.25594 + 0.366876i
\(525\) −27.5654 66.5489i −1.20305 2.90443i
\(526\) 18.7705 + 20.9260i 0.818431 + 0.912416i
\(527\) 13.4862i 0.587467i
\(528\) −31.2889 6.89792i −1.36168 0.300194i
\(529\) 1.29767i 0.0564204i
\(530\) −17.8250 + 15.9889i −0.774268 + 0.694513i
\(531\) −31.9614 77.1617i −1.38701 3.34853i
\(532\) 4.51336 8.23828i 0.195679 0.357175i
\(533\) −7.42350 3.07491i −0.321547 0.133189i
\(534\) 13.8345 + 6.63081i 0.598679 + 0.286943i
\(535\) −2.63075 + 2.63075i −0.113737 + 0.113737i
\(536\) −21.3623 + 5.00089i −0.922711 + 0.216006i
\(537\) −39.4036 39.4036i −1.70039 1.70039i
\(538\) 10.7214 + 30.4589i 0.462233 + 1.31318i
\(539\) 8.38430 20.2415i 0.361138 0.871863i
\(540\) 58.6323 + 72.9663i 2.52313 + 3.13997i
\(541\) −30.0551 + 12.4492i −1.29217 + 0.535234i −0.919632 0.392782i \(-0.871513\pi\)
−0.372539 + 0.928017i \(0.621513\pi\)
\(542\) 1.06034 19.5274i 0.0455456 0.838773i
\(543\) −9.25287 −0.397079
\(544\) 7.62491 27.4190i 0.326915 1.17558i
\(545\) −40.1807 −1.72115
\(546\) −0.986453 + 18.1666i −0.0422163 + 0.777459i
\(547\) 25.3753 10.5108i 1.08497 0.449409i 0.232720 0.972544i \(-0.425238\pi\)
0.852250 + 0.523135i \(0.175238\pi\)
\(548\) 14.1184 11.3449i 0.603107 0.484629i
\(549\) −22.4765 + 54.2630i −0.959273 + 2.31589i
\(550\) −6.51544 18.5100i −0.277819 0.789268i
\(551\) −5.76408 5.76408i −0.245558 0.245558i
\(552\) 22.4584 36.1872i 0.955891 1.54023i
\(553\) −3.46514 + 3.46514i −0.147353 + 0.147353i
\(554\) −11.0209 5.28227i −0.468235 0.224422i
\(555\) 73.0444 + 30.2560i 3.10056 + 1.28429i
\(556\) 21.3447 + 11.6938i 0.905217 + 0.495925i
\(557\) −1.93473 4.67085i −0.0819771 0.197910i 0.877576 0.479437i \(-0.159159\pi\)
−0.959553 + 0.281527i \(0.909159\pi\)
\(558\) 21.0173 18.8523i 0.889731 0.798083i
\(559\) 2.72541i 0.115273i
\(560\) −51.0327 + 9.06044i −2.15652 + 0.382874i
\(561\) 40.2984i 1.70140i
\(562\) −27.3444 30.4845i −1.15345 1.28591i
\(563\) −4.40787 10.6416i −0.185770 0.448488i 0.803367 0.595484i \(-0.203040\pi\)
−0.989137 + 0.146996i \(0.953040\pi\)
\(564\) −4.82163 16.5061i −0.203027 0.695031i
\(565\) −45.7947 18.9688i −1.92660 0.798022i
\(566\) −11.2142 + 23.3974i −0.471370 + 0.983467i
\(567\) 67.8919 67.8919i 2.85119 2.85119i
\(568\) 11.3770 + 15.8470i 0.477368 + 0.664924i
\(569\) −2.52239 2.52239i −0.105744 0.105744i 0.652255 0.757999i \(-0.273823\pi\)
−0.757999 + 0.652255i \(0.773823\pi\)
\(570\) −16.5656 + 5.83102i −0.693856 + 0.244235i
\(571\) −8.71735 + 21.0455i −0.364810 + 0.880729i 0.629773 + 0.776779i \(0.283148\pi\)
−0.994583 + 0.103949i \(0.966852\pi\)
\(572\) −0.536675 + 4.92717i −0.0224395 + 0.206015i
\(573\) −48.9495 + 20.2755i −2.04489 + 0.847023i
\(574\) −45.1606 2.45223i −1.88497 0.102354i
\(575\) 26.0844 1.08779
\(576\) 53.3895 26.4462i 2.22456 1.10193i
\(577\) 22.8350 0.950633 0.475316 0.879815i \(-0.342334\pi\)
0.475316 + 0.879815i \(0.342334\pi\)
\(578\) 11.7358 + 0.637259i 0.488146 + 0.0265065i
\(579\) −21.7469 + 9.00785i −0.903770 + 0.374354i
\(580\) −4.87029 + 44.7136i −0.202228 + 1.85663i
\(581\) 0.179490 0.433327i 0.00744649 0.0179774i
\(582\) 23.3946 8.23480i 0.969737 0.341344i
\(583\) 9.11341 + 9.11341i 0.377439 + 0.377439i
\(584\) 15.7417 11.3014i 0.651396 0.467656i
\(585\) 17.1450 17.1450i 0.708857 0.708857i
\(586\) −12.1817 + 25.4159i −0.503221 + 1.04992i
\(587\) −39.1161 16.2024i −1.61449 0.668746i −0.621125 0.783711i \(-0.713324\pi\)
−0.993369 + 0.114966i \(0.963324\pi\)
\(588\) 16.0253 + 54.8600i 0.660872 + 2.26239i
\(589\) 1.21056 + 2.92256i 0.0498803 + 0.120422i
\(590\) −34.4765 38.4356i −1.41937 1.58237i
\(591\) 59.7967i 2.45971i
\(592\) 17.2086 24.6382i 0.707271 1.01262i
\(593\) 36.7908i 1.51082i 0.655254 + 0.755408i \(0.272562\pi\)
−0.655254 + 0.755408i \(0.727438\pi\)
\(594\) 37.5045 33.6413i 1.53883 1.38032i
\(595\) −24.9471 60.2275i −1.02273 2.46909i
\(596\) 5.11303 + 2.80119i 0.209438 + 0.114741i
\(597\) −48.6681 20.1590i −1.99185 0.825052i
\(598\) −5.94107 2.84752i −0.242948 0.116444i
\(599\) 20.7087 20.7087i 0.846135 0.846135i −0.143513 0.989648i \(-0.545840\pi\)
0.989648 + 0.143513i \(0.0458400\pi\)
\(600\) 43.4940 + 26.9930i 1.77563 + 1.10199i
\(601\) −28.0329 28.0329i −1.14349 1.14349i −0.987808 0.155680i \(-0.950243\pi\)
−0.155680 0.987808i \(-0.549757\pi\)
\(602\) 5.09344 + 14.4702i 0.207593 + 0.589760i
\(603\) 22.1077 53.3726i 0.900294 2.17350i
\(604\) −9.25582 + 7.43755i −0.376614 + 0.302629i
\(605\) 14.6143 6.05343i 0.594155 0.246107i
\(606\) −1.11385 + 20.5128i −0.0452472 + 0.833277i
\(607\) −2.89763 −0.117611 −0.0588056 0.998269i \(-0.518729\pi\)
−0.0588056 + 0.998269i \(0.518729\pi\)
\(608\) 0.808845 + 6.62635i 0.0328030 + 0.268734i
\(609\) 88.8654 3.60101
\(610\) −1.96874 + 36.2565i −0.0797120 + 1.46798i
\(611\) −2.45755 + 1.01795i −0.0994218 + 0.0411819i
\(612\) 46.9393 + 58.4146i 1.89741 + 2.36127i
\(613\) −2.68520 + 6.48264i −0.108454 + 0.261832i −0.968784 0.247906i \(-0.920258\pi\)
0.860330 + 0.509738i \(0.170258\pi\)
\(614\) 4.80202 + 13.6422i 0.193794 + 0.550556i
\(615\) 59.7892 + 59.7892i 2.41093 + 2.41093i
\(616\) 6.35884 + 27.1630i 0.256205 + 1.09443i
\(617\) −14.2576 + 14.2576i −0.573990 + 0.573990i −0.933241 0.359251i \(-0.883032\pi\)
0.359251 + 0.933241i \(0.383032\pi\)
\(618\) 29.4361 + 14.1085i 1.18409 + 0.567529i
\(619\) −37.4055 15.4939i −1.50345 0.622751i −0.529259 0.848460i \(-0.677530\pi\)
−0.974195 + 0.225709i \(0.927530\pi\)
\(620\) 8.38632 15.3076i 0.336803 0.614769i
\(621\) 25.6285 + 61.8727i 1.02844 + 2.48287i
\(622\) −16.6078 + 14.8970i −0.665911 + 0.597317i
\(623\) 13.3578i 0.535170i
\(624\) −6.95963 10.8961i −0.278608 0.436193i
\(625\) 21.6449i 0.865795i
\(626\) 0.452606 + 0.504581i 0.0180898 + 0.0201671i
\(627\) 3.61732 + 8.73298i 0.144462 + 0.348762i
\(628\) 29.6426 8.65898i 1.18287 0.345531i
\(629\) 34.9216 + 14.4650i 1.39242 + 0.576758i
\(630\) 58.9869 123.070i 2.35009 4.90324i
\(631\) 2.35802 2.35802i 0.0938714 0.0938714i −0.658612 0.752483i \(-0.728856\pi\)
0.752483 + 0.658612i \(0.228856\pi\)
\(632\) 0.564245 3.43647i 0.0224445 0.136696i
\(633\) −18.8845 18.8845i −0.750593 0.750593i
\(634\) 37.2729 13.1199i 1.48030 0.521059i
\(635\) 5.45622 13.1725i 0.216523 0.522734i
\(636\) −33.4229 3.64048i −1.32530 0.144354i
\(637\) 8.16798 3.38329i 0.323627 0.134051i
\(638\) 24.1734 + 1.31262i 0.957035 + 0.0519673i
\(639\) −51.3668 −2.03204
\(640\) 25.7052 26.3808i 1.01609 1.04279i
\(641\) 33.0315 1.30467 0.652333 0.757932i \(-0.273790\pi\)
0.652333 + 0.757932i \(0.273790\pi\)
\(642\) −5.21605 0.283233i −0.205861 0.0111783i
\(643\) −32.9748 + 13.6586i −1.30040 + 0.538643i −0.922068 0.387028i \(-0.873502\pi\)
−0.378331 + 0.925671i \(0.623502\pi\)
\(644\) −36.8649 4.01539i −1.45268 0.158228i
\(645\) 10.9753 26.4967i 0.432152 1.04331i
\(646\) −7.91980 + 2.78774i −0.311600 + 0.109682i
\(647\) 22.1855 + 22.1855i 0.872201 + 0.872201i 0.992712 0.120511i \(-0.0384534\pi\)
−0.120511 + 0.992712i \(0.538453\pi\)
\(648\) −11.0552 + 67.3303i −0.434288 + 2.64498i
\(649\) −19.6510 + 19.6510i −0.771370 + 0.771370i
\(650\) 3.42248 7.14066i 0.134241 0.280080i
\(651\) −31.8603 13.1970i −1.24870 0.517230i
\(652\) −13.0405 + 3.80931i −0.510707 + 0.149184i
\(653\) −1.15931 2.79883i −0.0453675 0.109527i 0.899571 0.436774i \(-0.143879\pi\)
−0.944939 + 0.327247i \(0.893879\pi\)
\(654\) −37.6706 41.9966i −1.47304 1.64220i
\(655\) 48.7554i 1.90503i
\(656\) 27.0867 17.3010i 1.05756 0.675491i
\(657\) 51.0256i 1.99070i
\(658\) −11.1456 + 9.99750i −0.434500 + 0.389743i
\(659\) 10.1074 + 24.4013i 0.393727 + 0.950541i 0.989121 + 0.147107i \(0.0469961\pi\)
−0.595394 + 0.803434i \(0.703004\pi\)
\(660\) 25.0594 45.7412i 0.975437 1.78047i
\(661\) −38.7561 16.0533i −1.50744 0.624400i −0.532409 0.846487i \(-0.678713\pi\)
−0.975027 + 0.222087i \(0.928713\pi\)
\(662\) 7.36933 + 3.53208i 0.286417 + 0.137278i
\(663\) 11.4986 11.4986i 0.446569 0.446569i
\(664\) 0.0759746 + 0.324540i 0.00294839 + 0.0125946i
\(665\) 10.8124 + 10.8124i 0.419288 + 0.419288i
\(666\) 26.2743 + 74.6436i 1.01811 + 2.89238i
\(667\) −12.3148 + 29.7305i −0.476831 + 1.15117i
\(668\) 29.4015 + 36.5893i 1.13758 + 1.41568i
\(669\) −21.0588 + 8.72282i −0.814179 + 0.337244i
\(670\) 1.93644 35.6616i 0.0748110 1.37773i
\(671\) 19.5435 0.754468
\(672\) −57.3145 44.8445i −2.21096 1.72991i
\(673\) 27.6438 1.06559 0.532795 0.846244i \(-0.321142\pi\)
0.532795 + 0.846244i \(0.321142\pi\)
\(674\) 1.15194 21.2142i 0.0443710 0.817141i
\(675\) −74.3658 + 30.8033i −2.86234 + 1.18562i
\(676\) −1.55903 + 1.25277i −0.0599627 + 0.0481833i
\(677\) −7.13997 + 17.2374i −0.274411 + 0.662488i −0.999662 0.0259972i \(-0.991724\pi\)
0.725251 + 0.688485i \(0.241724\pi\)
\(678\) −23.1078 65.6480i −0.887451 2.52119i
\(679\) −15.2698 15.2698i −0.586000 0.586000i
\(680\) 39.3626 + 24.4290i 1.50949 + 0.936810i
\(681\) 7.89297 7.89297i 0.302459 0.302459i
\(682\) −8.47180 4.06049i −0.324402 0.155484i
\(683\) 37.7391 + 15.6320i 1.44405 + 0.598144i 0.960776 0.277327i \(-0.0894485\pi\)
0.483271 + 0.875471i \(0.339449\pi\)
\(684\) −15.4156 8.44548i −0.589430 0.322921i
\(685\) 11.2825 + 27.2384i 0.431083 + 1.04073i
\(686\) 7.71363 6.91907i 0.294508 0.264171i
\(687\) 55.6932i 2.12483i
\(688\) −8.93746 6.24240i −0.340737 0.237989i
\(689\) 5.20077i 0.198134i
\(690\) 46.2926 + 51.6087i 1.76233 + 1.96471i
\(691\) 12.2904 + 29.6715i 0.467547 + 1.12876i 0.965231 + 0.261400i \(0.0841842\pi\)
−0.497683 + 0.867359i \(0.665816\pi\)
\(692\) 4.39529 + 15.0465i 0.167084 + 0.571984i
\(693\) −67.8655 28.1108i −2.57800 1.06784i
\(694\) −8.67471 + 18.0989i −0.329287 + 0.687026i
\(695\) −28.0141 + 28.0141i −1.06264 + 1.06264i
\(696\) −51.3003 + 36.8300i −1.94453 + 1.39604i
\(697\) 28.5845 + 28.5845i 1.08271 + 1.08271i
\(698\) −31.0432 + 10.9271i −1.17500 + 0.413596i
\(699\) −21.1750 + 51.1210i −0.800912 + 1.93357i
\(700\) 4.82615 44.3085i 0.182411 1.67470i
\(701\) 47.3958 19.6320i 1.79012 0.741490i 0.800218 0.599709i \(-0.204717\pi\)
0.989898 0.141782i \(-0.0452831\pi\)
\(702\) 20.3005 + 1.10232i 0.766192 + 0.0416045i
\(703\) −8.86621 −0.334396
\(704\) −14.9285 13.0453i −0.562638 0.491664i
\(705\) 27.9918 1.05423
\(706\) −48.0846 2.61101i −1.80969 0.0982665i
\(707\) 16.5253 6.84499i 0.621497 0.257432i
\(708\) 7.84988 72.0690i 0.295017 2.70852i
\(709\) 4.83578 11.6746i 0.181612 0.438449i −0.806687 0.590978i \(-0.798742\pi\)
0.988299 + 0.152529i \(0.0487418\pi\)
\(710\) −29.9541 + 10.5437i −1.12416 + 0.395699i
\(711\) 6.48402 + 6.48402i 0.243170 + 0.243170i
\(712\) 5.53611 + 7.71123i 0.207475 + 0.288991i
\(713\) 8.83028 8.83028i 0.330697 0.330697i
\(714\) 39.5607 82.5395i 1.48052 3.08896i
\(715\) −7.45384 3.08748i −0.278758 0.115465i
\(716\) −9.66814 33.0973i −0.361315 1.23690i
\(717\) −5.92168 14.2962i −0.221149 0.533902i
\(718\) −13.8643 15.4564i −0.517412 0.576829i
\(719\) 13.4962i 0.503325i 0.967815 + 0.251662i \(0.0809773\pi\)
−0.967815 + 0.251662i \(0.919023\pi\)
\(720\) 16.9540 + 95.4932i 0.631840 + 3.55882i
\(721\) 28.4218i 1.05848i
\(722\) −18.5362 + 16.6268i −0.689846 + 0.618787i
\(723\) 24.3623 + 58.8158i 0.906044 + 2.18738i
\(724\) −5.02115 2.75085i −0.186610 0.102235i
\(725\) −35.7336 14.8013i −1.32711 0.549708i
\(726\) 20.0283 + 9.59945i 0.743320 + 0.356269i
\(727\) 21.8851 21.8851i 0.811673 0.811673i −0.173211 0.984885i \(-0.555414\pi\)
0.984885 + 0.173211i \(0.0554144\pi\)
\(728\) −5.93619 + 9.56500i −0.220010 + 0.354503i
\(729\) −28.4705 28.4705i −1.05446 1.05446i
\(730\) 10.4737 + 29.7551i 0.387648 + 1.10128i
\(731\) 5.24715 12.6677i 0.194073 0.468533i
\(732\) −39.7408 + 31.9339i −1.46886 + 1.18031i
\(733\) 0.332272 0.137632i 0.0122728 0.00508355i −0.376539 0.926401i \(-0.622886\pi\)
0.388811 + 0.921317i \(0.372886\pi\)
\(734\) 2.61803 48.2138i 0.0966331 1.77961i
\(735\) −93.0344 −3.43163
\(736\) 22.9456 12.9605i 0.845785 0.477731i
\(737\) −19.2228 −0.708081
\(738\) −4.58866 + 84.5052i −0.168911 + 3.11068i
\(739\) 39.4456 16.3389i 1.45103 0.601037i 0.488587 0.872515i \(-0.337513\pi\)
0.962445 + 0.271478i \(0.0875126\pi\)
\(740\) 30.6432 + 38.1346i 1.12647 + 1.40185i
\(741\) −1.45968 + 3.52399i −0.0536228 + 0.129457i
\(742\) 9.71957 + 27.6127i 0.356817 + 1.01369i
\(743\) 3.84570 + 3.84570i 0.141085 + 0.141085i 0.774122 0.633037i \(-0.218192\pi\)
−0.633037 + 0.774122i \(0.718192\pi\)
\(744\) 23.8618 5.58603i 0.874816 0.204794i
\(745\) −6.71067 + 6.71067i −0.245860 + 0.245860i
\(746\) −5.17432 2.48002i −0.189445 0.0908000i
\(747\) −0.810848 0.335864i −0.0296674 0.0122886i
\(748\) 11.9806 21.8683i 0.438054 0.799584i
\(749\) 1.74056 + 4.20208i 0.0635987 + 0.153541i
\(750\) −6.63820 + 5.95442i −0.242393 + 0.217425i
\(751\) 28.6037i 1.04376i −0.853018 0.521882i \(-0.825230\pi\)
0.853018 0.521882i \(-0.174770\pi\)
\(752\) 2.29071 10.3906i 0.0835335 0.378907i
\(753\) 28.6883i 1.04546i
\(754\) 6.52301 + 7.27209i 0.237554 + 0.264834i
\(755\) −7.39667 17.8571i −0.269192 0.649888i
\(756\) 109.843 32.0864i 3.99493 1.16697i
\(757\) 12.8251 + 5.31232i 0.466135 + 0.193079i 0.603374 0.797459i \(-0.293823\pi\)
−0.137239 + 0.990538i \(0.543823\pi\)
\(758\) −9.92094 + 20.6991i −0.360345 + 0.751824i
\(759\) 26.3860 26.3860i 0.957752 0.957752i
\(760\) −10.7230 1.76064i −0.388964 0.0638652i
\(761\) 28.3230 + 28.3230i 1.02671 + 1.02671i 0.999633 + 0.0270756i \(0.00861949\pi\)
0.0270756 + 0.999633i \(0.491381\pi\)
\(762\) 18.8831 6.64679i 0.684063 0.240788i
\(763\) −18.7980 + 45.3824i −0.680533 + 1.64295i
\(764\) −32.5907 3.54984i −1.17909 0.128429i
\(765\) −112.699 + 46.6813i −4.07463 + 1.68777i
\(766\) −40.5834 2.20369i −1.46634 0.0796226i
\(767\) −11.2143 −0.404925
\(768\) 51.6723 + 2.13409i 1.86456 + 0.0770074i
\(769\) 45.4051 1.63735 0.818675 0.574257i \(-0.194709\pi\)
0.818675 + 0.574257i \(0.194709\pi\)
\(770\) −45.3452 2.46226i