Properties

Label 168.2.ba.c.5.16
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 5.16
Character \(\chi\) \(=\) 168.5
Dual form 168.2.ba.c.101.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.717256 + 1.21883i) q^{2} +(1.11142 - 1.32844i) q^{3} +(-0.971089 + 1.74842i) q^{4} +(0.337879 + 0.195075i) q^{5} +(2.41631 + 0.401798i) q^{6} +(1.39526 + 2.24795i) q^{7} +(-2.82755 + 0.0704754i) q^{8} +(-0.529502 - 2.95290i) q^{9} +O(q^{10})\) \(q+(0.717256 + 1.21883i) q^{2} +(1.11142 - 1.32844i) q^{3} +(-0.971089 + 1.74842i) q^{4} +(0.337879 + 0.195075i) q^{5} +(2.41631 + 0.401798i) q^{6} +(1.39526 + 2.24795i) q^{7} +(-2.82755 + 0.0704754i) q^{8} +(-0.529502 - 2.95290i) q^{9} +(0.00458308 + 0.551736i) q^{10} +(-0.748582 - 1.29658i) q^{11} +(1.24339 + 3.23326i) q^{12} +3.28768 q^{13} +(-1.73911 + 3.31293i) q^{14} +(0.634670 - 0.232043i) q^{15} +(-2.11397 - 3.39575i) q^{16} +(-1.68169 - 2.91278i) q^{17} +(3.21929 - 2.76336i) q^{18} +(-2.56203 + 4.43756i) q^{19} +(-0.669184 + 0.401321i) q^{20} +(4.53697 + 0.644892i) q^{21} +(1.04339 - 1.84237i) q^{22} +(-4.72764 - 2.72950i) q^{23} +(-3.04897 + 3.83455i) q^{24} +(-2.42389 - 4.19830i) q^{25} +(2.35811 + 4.00712i) q^{26} +(-4.51125 - 2.57850i) q^{27} +(-5.28528 + 0.256545i) q^{28} -4.13801 q^{29} +(0.738041 + 0.607120i) q^{30} +(-3.60237 + 2.07983i) q^{31} +(2.62258 - 5.01219i) q^{32} +(-2.55442 - 0.446598i) q^{33} +(2.34398 - 4.13891i) q^{34} +(0.0329110 + 1.03171i) q^{35} +(5.67712 + 1.94174i) q^{36} +(7.46581 + 4.31038i) q^{37} +(-7.24625 + 0.0601921i) q^{38} +(3.65399 - 4.36748i) q^{39} +(-0.969118 - 0.527771i) q^{40} +11.1607 q^{41} +(2.46815 + 5.99235i) q^{42} -4.79323i q^{43} +(2.99391 - 0.0497422i) q^{44} +(0.397129 - 1.10102i) q^{45} +(-0.0641268 - 7.71993i) q^{46} +(-2.51067 + 4.34861i) q^{47} +(-6.86055 - 0.965812i) q^{48} +(-3.10652 + 6.27292i) q^{49} +(3.37846 - 5.96557i) q^{50} +(-5.73852 - 1.00329i) q^{51} +(-3.19263 + 5.74826i) q^{52} +(-0.499243 - 0.864715i) q^{53} +(-0.0929724 - 7.34788i) q^{54} -0.584118i q^{55} +(-4.10358 - 6.25784i) q^{56} +(3.04755 + 8.33548i) q^{57} +(-2.96801 - 5.04353i) q^{58} +(1.36034 - 0.785391i) q^{59} +(-0.210612 + 1.33501i) q^{60} +(3.40889 - 5.90437i) q^{61} +(-5.11878 - 2.89891i) q^{62} +(5.89917 - 5.31035i) q^{63} +(7.99007 - 0.398545i) q^{64} +(1.11084 + 0.641343i) q^{65} +(-1.28784 - 3.43372i) q^{66} +(3.05467 - 1.76361i) q^{67} +(6.72585 - 0.111746i) q^{68} +(-8.88036 + 3.24676i) q^{69} +(-1.23388 + 0.780115i) q^{70} +14.3360i q^{71} +(1.70530 + 8.31216i) q^{72} +(2.76107 - 1.59410i) q^{73} +(0.101268 + 12.1912i) q^{74} +(-8.27115 - 1.44608i) q^{75} +(-5.27078 - 8.78877i) q^{76} +(1.87018 - 3.49184i) q^{77} +(7.94406 + 1.32098i) q^{78} +(-0.239413 + 0.414676i) q^{79} +(-0.0518426 - 1.55974i) q^{80} +(-8.43926 + 3.12713i) q^{81} +(8.00508 + 13.6030i) q^{82} +17.4548i q^{83} +(-5.53335 + 7.30630i) q^{84} -1.31222i q^{85} +(5.84213 - 3.43797i) q^{86} +(-4.59906 + 5.49710i) q^{87} +(2.20803 + 3.61339i) q^{88} +(2.54840 - 4.41396i) q^{89} +(1.62679 - 0.305678i) q^{90} +(4.58716 + 7.39053i) q^{91} +(9.36328 - 5.61532i) q^{92} +(-1.24081 + 7.09709i) q^{93} +(-7.10101 + 0.0589856i) q^{94} +(-1.73131 + 0.999573i) q^{95} +(-3.74361 - 9.05458i) q^{96} +9.00074i q^{97} +(-9.87379 + 0.712973i) q^{98} +(-3.43230 + 2.89703i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 6 q^{4} - 4 q^{7} - 14 q^{9} - 30 q^{10} - 18 q^{12} + 4 q^{15} + 6 q^{16} - 36 q^{22} - 12 q^{24} - 8 q^{25} - 10 q^{28} + 22 q^{30} + 48 q^{31} - 42 q^{33} + 52 q^{36} - 8 q^{39} - 18 q^{40} + 12 q^{42} - 8 q^{46} - 36 q^{49} - 48 q^{52} + 60 q^{54} + 4 q^{57} + 30 q^{58} - 32 q^{60} - 6 q^{63} - 60 q^{64} + 54 q^{66} + 42 q^{70} + 42 q^{72} - 36 q^{73} - 68 q^{78} - 56 q^{79} + 42 q^{81} + 48 q^{82} + 48 q^{84} - 132 q^{87} + 6 q^{88} + 48 q^{94} + 90 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.717256 + 1.21883i 0.507176 + 0.861842i
\(3\) 1.11142 1.32844i 0.641677 0.766975i
\(4\) −0.971089 + 1.74842i −0.485544 + 0.874212i
\(5\) 0.337879 + 0.195075i 0.151104 + 0.0872401i 0.573646 0.819103i \(-0.305529\pi\)
−0.422542 + 0.906344i \(0.638862\pi\)
\(6\) 2.41631 + 0.401798i 0.986455 + 0.164033i
\(7\) 1.39526 + 2.24795i 0.527357 + 0.849644i
\(8\) −2.82755 + 0.0704754i −0.999690 + 0.0249168i
\(9\) −0.529502 2.95290i −0.176501 0.984301i
\(10\) 0.00458308 + 0.551736i 0.00144930 + 0.174474i
\(11\) −0.748582 1.29658i −0.225706 0.390934i 0.730825 0.682565i \(-0.239136\pi\)
−0.956531 + 0.291631i \(0.905802\pi\)
\(12\) 1.24339 + 3.23326i 0.358936 + 0.933362i
\(13\) 3.28768 0.911838 0.455919 0.890021i \(-0.349311\pi\)
0.455919 + 0.890021i \(0.349311\pi\)
\(14\) −1.73911 + 3.31293i −0.464796 + 0.885418i
\(15\) 0.634670 0.232043i 0.163871 0.0599132i
\(16\) −2.11397 3.39575i −0.528493 0.848938i
\(17\) −1.68169 2.91278i −0.407871 0.706453i 0.586780 0.809746i \(-0.300395\pi\)
−0.994651 + 0.103293i \(0.967062\pi\)
\(18\) 3.21929 2.76336i 0.758795 0.651330i
\(19\) −2.56203 + 4.43756i −0.587769 + 1.01805i 0.406755 + 0.913537i \(0.366660\pi\)
−0.994524 + 0.104509i \(0.966673\pi\)
\(20\) −0.669184 + 0.401321i −0.149634 + 0.0897382i
\(21\) 4.53697 + 0.644892i 0.990048 + 0.140727i
\(22\) 1.04339 1.84237i 0.222451 0.392795i
\(23\) −4.72764 2.72950i −0.985780 0.569141i −0.0817700 0.996651i \(-0.526057\pi\)
−0.904010 + 0.427511i \(0.859391\pi\)
\(24\) −3.04897 + 3.83455i −0.622367 + 0.782725i
\(25\) −2.42389 4.19830i −0.484778 0.839661i
\(26\) 2.35811 + 4.00712i 0.462463 + 0.785861i
\(27\) −4.51125 2.57850i −0.868190 0.496232i
\(28\) −5.28528 + 0.256545i −0.998824 + 0.0484825i
\(29\) −4.13801 −0.768410 −0.384205 0.923248i \(-0.625524\pi\)
−0.384205 + 0.923248i \(0.625524\pi\)
\(30\) 0.738041 + 0.607120i 0.134747 + 0.110845i
\(31\) −3.60237 + 2.07983i −0.647005 + 0.373549i −0.787308 0.616560i \(-0.788526\pi\)
0.140303 + 0.990109i \(0.455192\pi\)
\(32\) 2.62258 5.01219i 0.463611 0.886039i
\(33\) −2.55442 0.446598i −0.444667 0.0777428i
\(34\) 2.34398 4.13891i 0.401989 0.709816i
\(35\) 0.0329110 + 1.03171i 0.00556298 + 0.174391i
\(36\) 5.67712 + 1.94174i 0.946186 + 0.323623i
\(37\) 7.46581 + 4.31038i 1.22737 + 0.708623i 0.966479 0.256745i \(-0.0826501\pi\)
0.260892 + 0.965368i \(0.415983\pi\)
\(38\) −7.24625 + 0.0601921i −1.17550 + 0.00976445i
\(39\) 3.65399 4.36748i 0.585106 0.699357i
\(40\) −0.969118 0.527771i −0.153231 0.0834480i
\(41\) 11.1607 1.74301 0.871505 0.490387i \(-0.163145\pi\)
0.871505 + 0.490387i \(0.163145\pi\)
\(42\) 2.46815 + 5.99235i 0.380845 + 0.924639i
\(43\) 4.79323i 0.730961i −0.930819 0.365480i \(-0.880905\pi\)
0.930819 0.365480i \(-0.119095\pi\)
\(44\) 2.99391 0.0497422i 0.451350 0.00749892i
\(45\) 0.397129 1.10102i 0.0592005 0.164130i
\(46\) −0.0641268 7.71993i −0.00945498 1.13824i
\(47\) −2.51067 + 4.34861i −0.366219 + 0.634310i −0.988971 0.148109i \(-0.952681\pi\)
0.622752 + 0.782419i \(0.286015\pi\)
\(48\) −6.86055 0.965812i −0.990236 0.139403i
\(49\) −3.10652 + 6.27292i −0.443788 + 0.896132i
\(50\) 3.37846 5.96557i 0.477787 0.843658i
\(51\) −5.73852 1.00329i −0.803553 0.140488i
\(52\) −3.19263 + 5.74826i −0.442738 + 0.797140i
\(53\) −0.499243 0.864715i −0.0685763 0.118778i 0.829699 0.558212i \(-0.188512\pi\)
−0.898275 + 0.439434i \(0.855179\pi\)
\(54\) −0.0929724 7.34788i −0.0126519 0.999920i
\(55\) 0.584118i 0.0787624i
\(56\) −4.10358 6.25784i −0.548364 0.836240i
\(57\) 3.04755 + 8.33548i 0.403657 + 1.10406i
\(58\) −2.96801 5.04353i −0.389719 0.662248i
\(59\) 1.36034 0.785391i 0.177101 0.102249i −0.408829 0.912611i \(-0.634063\pi\)
0.585930 + 0.810362i \(0.300729\pi\)
\(60\) −0.210612 + 1.33501i −0.0271899 + 0.172349i
\(61\) 3.40889 5.90437i 0.436464 0.755977i −0.560950 0.827850i \(-0.689564\pi\)
0.997414 + 0.0718723i \(0.0228974\pi\)
\(62\) −5.11878 2.89891i −0.650085 0.368161i
\(63\) 5.89917 5.31035i 0.743226 0.669041i
\(64\) 7.99007 0.398545i 0.998758 0.0498181i
\(65\) 1.11084 + 0.641343i 0.137783 + 0.0795488i
\(66\) −1.28784 3.43372i −0.158523 0.422662i
\(67\) 3.05467 1.76361i 0.373187 0.215460i −0.301663 0.953415i \(-0.597542\pi\)
0.674850 + 0.737955i \(0.264208\pi\)
\(68\) 6.72585 0.111746i 0.815629 0.0135512i
\(69\) −8.88036 + 3.24676i −1.06907 + 0.390864i
\(70\) −1.23388 + 0.780115i −0.147477 + 0.0932416i
\(71\) 14.3360i 1.70137i 0.525677 + 0.850684i \(0.323812\pi\)
−0.525677 + 0.850684i \(0.676188\pi\)
\(72\) 1.70530 + 8.31216i 0.200971 + 0.979597i
\(73\) 2.76107 1.59410i 0.323159 0.186576i −0.329641 0.944106i \(-0.606928\pi\)
0.652800 + 0.757531i \(0.273594\pi\)
\(74\) 0.101268 + 12.1912i 0.0117722 + 1.41720i
\(75\) −8.27115 1.44608i −0.955070 0.166978i
\(76\) −5.27078 8.78877i −0.604600 1.00814i
\(77\) 1.87018 3.49184i 0.213127 0.397932i
\(78\) 7.94406 + 1.32098i 0.899487 + 0.149572i
\(79\) −0.239413 + 0.414676i −0.0269361 + 0.0466547i −0.879179 0.476491i \(-0.841908\pi\)
0.852243 + 0.523146i \(0.175242\pi\)
\(80\) −0.0518426 1.55974i −0.00579618 0.174384i
\(81\) −8.43926 + 3.12713i −0.937695 + 0.347459i
\(82\) 8.00508 + 13.6030i 0.884013 + 1.50220i
\(83\) 17.4548i 1.91591i 0.286911 + 0.957957i \(0.407372\pi\)
−0.286911 + 0.957957i \(0.592628\pi\)
\(84\) −5.53335 + 7.30630i −0.603738 + 0.797183i
\(85\) 1.31222i 0.142331i
\(86\) 5.84213 3.43797i 0.629973 0.370726i
\(87\) −4.59906 + 5.49710i −0.493071 + 0.589351i
\(88\) 2.20803 + 3.61339i 0.235377 + 0.385189i
\(89\) 2.54840 4.41396i 0.270130 0.467879i −0.698765 0.715351i \(-0.746267\pi\)
0.968895 + 0.247473i \(0.0796000\pi\)
\(90\) 1.62679 0.305678i 0.171479 0.0322213i
\(91\) 4.58716 + 7.39053i 0.480865 + 0.774738i
\(92\) 9.36328 5.61532i 0.976190 0.585438i
\(93\) −1.24081 + 7.09709i −0.128666 + 0.735934i
\(94\) −7.10101 + 0.0589856i −0.732413 + 0.00608390i
\(95\) −1.73131 + 0.999573i −0.177629 + 0.102554i
\(96\) −3.74361 9.05458i −0.382081 0.924129i
\(97\) 9.00074i 0.913887i 0.889496 + 0.456943i \(0.151056\pi\)
−0.889496 + 0.456943i \(0.848944\pi\)
\(98\) −9.87379 + 0.712973i −0.997403 + 0.0720212i
\(99\) −3.43230 + 2.89703i −0.344959 + 0.291163i
\(100\) 9.69423 0.161064i 0.969423 0.0161064i
\(101\) −4.63907 + 2.67837i −0.461605 + 0.266508i −0.712719 0.701450i \(-0.752536\pi\)
0.251114 + 0.967958i \(0.419203\pi\)
\(102\) −2.89315 7.71388i −0.286464 0.763788i
\(103\) 7.70831 + 4.45039i 0.759522 + 0.438510i 0.829124 0.559065i \(-0.188840\pi\)
−0.0696021 + 0.997575i \(0.522173\pi\)
\(104\) −9.29608 + 0.231700i −0.911555 + 0.0227201i
\(105\) 1.40715 + 1.10294i 0.137323 + 0.107636i
\(106\) 0.695854 1.22871i 0.0675874 0.119343i
\(107\) 7.85256 13.6010i 0.759135 1.31486i −0.184157 0.982897i \(-0.558955\pi\)
0.943292 0.331964i \(-0.107711\pi\)
\(108\) 8.88913 5.38363i 0.855357 0.518040i
\(109\) −15.1582 + 8.75159i −1.45189 + 0.838250i −0.998589 0.0531069i \(-0.983088\pi\)
−0.453303 + 0.891357i \(0.649754\pi\)
\(110\) 0.711940 0.418962i 0.0678808 0.0399464i
\(111\) 14.0237 5.12723i 1.33107 0.486655i
\(112\) 4.68393 9.49004i 0.442590 0.896724i
\(113\) 0.0726142i 0.00683097i 0.999994 + 0.00341549i \(0.00108718\pi\)
−0.999994 + 0.00341549i \(0.998913\pi\)
\(114\) −7.97365 + 9.69311i −0.746801 + 0.907843i
\(115\) −1.06491 1.84448i −0.0993037 0.171999i
\(116\) 4.01838 7.23500i 0.373097 0.671753i
\(117\) −1.74083 9.70819i −0.160940 0.897523i
\(118\) 1.93297 + 1.09469i 0.177944 + 0.100775i
\(119\) 4.20138 7.84443i 0.385139 0.719098i
\(120\) −1.77821 + 0.700841i −0.162327 + 0.0639777i
\(121\) 4.37925 7.58508i 0.398114 0.689553i
\(122\) 9.64147 0.0800883i 0.872897 0.00725085i
\(123\) 12.4042 14.8263i 1.11845 1.33684i
\(124\) −0.138202 8.31817i −0.0124109 0.746994i
\(125\) 3.84211i 0.343649i
\(126\) 10.7036 + 3.38121i 0.953554 + 0.301222i
\(127\) −8.81577 −0.782273 −0.391137 0.920333i \(-0.627918\pi\)
−0.391137 + 0.920333i \(0.627918\pi\)
\(128\) 6.21668 + 9.45267i 0.549482 + 0.835506i
\(129\) −6.36751 5.32728i −0.560628 0.469041i
\(130\) 0.0150677 + 1.81393i 0.00132152 + 0.159092i
\(131\) 4.36183 + 2.51830i 0.381095 + 0.220025i 0.678294 0.734790i \(-0.262719\pi\)
−0.297200 + 0.954815i \(0.596053\pi\)
\(132\) 3.26141 4.03252i 0.283869 0.350986i
\(133\) −13.5501 + 0.432239i −1.17494 + 0.0374799i
\(134\) 4.34052 + 2.45816i 0.374964 + 0.212352i
\(135\) −1.02126 1.75125i −0.0878959 0.150724i
\(136\) 4.96035 + 8.11751i 0.425347 + 0.696071i
\(137\) −6.34787 + 3.66494i −0.542335 + 0.313117i −0.746025 0.665918i \(-0.768040\pi\)
0.203690 + 0.979035i \(0.434707\pi\)
\(138\) −10.3267 8.49488i −0.879070 0.723132i
\(139\) 15.7497 1.33587 0.667935 0.744220i \(-0.267178\pi\)
0.667935 + 0.744220i \(0.267178\pi\)
\(140\) −1.83583 0.944343i −0.155156 0.0798116i
\(141\) 2.98646 + 8.16840i 0.251505 + 0.687903i
\(142\) −17.4731 + 10.2826i −1.46631 + 0.862894i
\(143\) −2.46110 4.26275i −0.205807 0.356469i
\(144\) −8.90796 + 8.04041i −0.742330 + 0.670034i
\(145\) −1.39815 0.807222i −0.116110 0.0670361i
\(146\) 3.92333 + 2.22189i 0.324697 + 0.183885i
\(147\) 4.88056 + 11.0987i 0.402542 + 0.915402i
\(148\) −14.7863 + 8.86763i −1.21543 + 0.728914i
\(149\) 8.98969 15.5706i 0.736464 1.27559i −0.217613 0.976035i \(-0.569827\pi\)
0.954078 0.299559i \(-0.0968395\pi\)
\(150\) −4.17001 11.1183i −0.340480 0.907807i
\(151\) −7.89149 13.6685i −0.642201 1.11232i −0.984940 0.172894i \(-0.944688\pi\)
0.342740 0.939430i \(-0.388645\pi\)
\(152\) 6.93152 12.7280i 0.562220 1.03238i
\(153\) −7.71069 + 6.50820i −0.623373 + 0.526157i
\(154\) 5.59735 0.225107i 0.451047 0.0181396i
\(155\) −1.62289 −0.130354
\(156\) 4.08787 + 10.6299i 0.327291 + 0.851075i
\(157\) −2.53274 4.38683i −0.202134 0.350107i 0.747082 0.664732i \(-0.231454\pi\)
−0.949216 + 0.314625i \(0.898121\pi\)
\(158\) −0.677140 + 0.00562477i −0.0538704 + 0.000447482i
\(159\) −1.70359 0.297845i −0.135103 0.0236206i
\(160\) 1.86387 1.18192i 0.147352 0.0934387i
\(161\) −0.460494 14.4358i −0.0362920 1.13770i
\(162\) −9.86455 8.04306i −0.775032 0.631922i
\(163\) −10.8745 6.27840i −0.851757 0.491762i 0.00948597 0.999955i \(-0.496980\pi\)
−0.861243 + 0.508193i \(0.830314\pi\)
\(164\) −10.8380 + 19.5136i −0.846308 + 1.52376i
\(165\) −0.775965 0.649199i −0.0604088 0.0505400i
\(166\) −21.2744 + 12.5196i −1.65122 + 0.971706i
\(167\) −7.43145 −0.575063 −0.287531 0.957771i \(-0.592835\pi\)
−0.287531 + 0.957771i \(0.592835\pi\)
\(168\) −12.8740 1.50372i −0.993248 0.116015i
\(169\) −2.19116 −0.168551
\(170\) 1.59938 0.941200i 0.122667 0.0721868i
\(171\) 14.4603 + 5.21571i 1.10580 + 0.398856i
\(172\) 8.38060 + 4.65465i 0.639014 + 0.354914i
\(173\) 15.2445 + 8.80144i 1.15902 + 0.669161i 0.951069 0.308978i \(-0.0999870\pi\)
0.207952 + 0.978139i \(0.433320\pi\)
\(174\) −9.99873 1.66264i −0.758002 0.126045i
\(175\) 6.05561 11.3065i 0.457761 0.854690i
\(176\) −2.82039 + 5.28294i −0.212595 + 0.398216i
\(177\) 0.468558 2.68002i 0.0352190 0.201443i
\(178\) 7.20771 0.0598720i 0.540241 0.00448759i
\(179\) 8.11784 + 14.0605i 0.606756 + 1.05093i 0.991771 + 0.128022i \(0.0408627\pi\)
−0.385016 + 0.922910i \(0.625804\pi\)
\(180\) 1.53940 + 1.76353i 0.114740 + 0.131446i
\(181\) −6.19340 −0.460351 −0.230176 0.973149i \(-0.573930\pi\)
−0.230176 + 0.973149i \(0.573930\pi\)
\(182\) −5.71762 + 10.8919i −0.423818 + 0.807358i
\(183\) −4.05490 11.0907i −0.299747 0.819850i
\(184\) 13.5600 + 7.38462i 0.999655 + 0.544401i
\(185\) 1.68169 + 2.91278i 0.123641 + 0.214152i
\(186\) −9.54012 + 3.57809i −0.699516 + 0.262358i
\(187\) −2.51777 + 4.36091i −0.184118 + 0.318901i
\(188\) −5.16513 8.61261i −0.376706 0.628139i
\(189\) −0.498031 13.7387i −0.0362264 0.999344i
\(190\) −2.46010 1.39322i −0.178475 0.101075i
\(191\) −7.28788 4.20766i −0.527333 0.304456i 0.212597 0.977140i \(-0.431808\pi\)
−0.739930 + 0.672684i \(0.765141\pi\)
\(192\) 8.35086 11.0573i 0.602671 0.797990i
\(193\) 6.57333 + 11.3853i 0.473158 + 0.819534i 0.999528 0.0307215i \(-0.00978048\pi\)
−0.526370 + 0.850256i \(0.676447\pi\)
\(194\) −10.9704 + 6.45583i −0.787626 + 0.463502i
\(195\) 2.08659 0.762882i 0.149424 0.0546311i
\(196\) −7.95102 11.5231i −0.567930 0.823077i
\(197\) −17.6119 −1.25480 −0.627398 0.778699i \(-0.715880\pi\)
−0.627398 + 0.778699i \(0.715880\pi\)
\(198\) −5.99282 2.10548i −0.425891 0.149630i
\(199\) 17.2688 9.97017i 1.22416 0.706767i 0.258354 0.966050i \(-0.416820\pi\)
0.965801 + 0.259284i \(0.0834864\pi\)
\(200\) 7.14955 + 11.7001i 0.505549 + 0.827321i
\(201\) 1.05216 6.01805i 0.0742135 0.424480i
\(202\) −6.59187 3.73316i −0.463803 0.262664i
\(203\) −5.77359 9.30203i −0.405227 0.652874i
\(204\) 7.32678 9.05908i 0.512977 0.634262i
\(205\) 3.77097 + 2.17717i 0.263376 + 0.152060i
\(206\) 0.104557 + 12.5872i 0.00728485 + 0.876990i
\(207\) −5.55666 + 15.4055i −0.386214 + 1.07076i
\(208\) −6.95007 11.1641i −0.481900 0.774094i
\(209\) 7.67154 0.530652
\(210\) −0.335017 + 2.50616i −0.0231184 + 0.172942i
\(211\) 14.5159i 0.999314i −0.866223 0.499657i \(-0.833459\pi\)
0.866223 0.499657i \(-0.166541\pi\)
\(212\) 1.99670 0.0331740i 0.137134 0.00227840i
\(213\) 19.0445 + 15.9333i 1.30491 + 1.09173i
\(214\) 22.2096 0.184488i 1.51822 0.0126113i
\(215\) 0.935038 1.61953i 0.0637691 0.110451i
\(216\) 12.9375 + 6.97289i 0.880285 + 0.474445i
\(217\) −9.70158 5.19604i −0.658586 0.352730i
\(218\) −21.5390 12.1981i −1.45880 0.826161i
\(219\) 0.951031 5.43963i 0.0642647 0.367576i
\(220\) 1.02129 + 0.567230i 0.0688550 + 0.0382426i
\(221\) −5.52887 9.57629i −0.371912 0.644171i
\(222\) 16.3078 + 13.4150i 1.09451 + 0.900354i
\(223\) 2.77897i 0.186093i 0.995662 + 0.0930467i \(0.0296606\pi\)
−0.995662 + 0.0930467i \(0.970339\pi\)
\(224\) 14.9263 1.09788i 0.997306 0.0733549i
\(225\) −11.1137 + 9.38052i −0.740915 + 0.625368i
\(226\) −0.0885043 + 0.0520830i −0.00588722 + 0.00346451i
\(227\) −14.0438 + 8.10819i −0.932119 + 0.538159i −0.887481 0.460844i \(-0.847547\pi\)
−0.0446379 + 0.999003i \(0.514213\pi\)
\(228\) −17.5334 2.76608i −1.16118 0.183188i
\(229\) 10.3150 17.8661i 0.681633 1.18062i −0.292849 0.956159i \(-0.594603\pi\)
0.974482 0.224464i \(-0.0720633\pi\)
\(230\) 1.48430 2.62091i 0.0978716 0.172818i
\(231\) −2.56014 6.36531i −0.168445 0.418807i
\(232\) 11.7004 0.291628i 0.768171 0.0191463i
\(233\) −1.80462 1.04190i −0.118225 0.0682572i 0.439721 0.898134i \(-0.355077\pi\)
−0.557946 + 0.829877i \(0.688411\pi\)
\(234\) 10.5840 9.08503i 0.691898 0.593907i
\(235\) −1.69661 + 0.979538i −0.110675 + 0.0638980i
\(236\) 0.0521881 + 3.14113i 0.00339716 + 0.204470i
\(237\) 0.284784 + 0.778925i 0.0184987 + 0.0505966i
\(238\) 12.5745 0.505704i 0.815083 0.0327799i
\(239\) 0.851762i 0.0550959i −0.999620 0.0275480i \(-0.991230\pi\)
0.999620 0.0275480i \(-0.00876990\pi\)
\(240\) −2.12963 1.66465i −0.137467 0.107453i
\(241\) 13.0417 7.52961i 0.840087 0.485025i −0.0172066 0.999852i \(-0.505477\pi\)
0.857294 + 0.514827i \(0.172144\pi\)
\(242\) 12.3860 0.102886i 0.796200 0.00661375i
\(243\) −5.22533 + 14.6866i −0.335205 + 0.942145i
\(244\) 7.01301 + 11.6939i 0.448962 + 0.748622i
\(245\) −2.27332 + 1.51349i −0.145237 + 0.0966932i
\(246\) 26.9677 + 4.48434i 1.71940 + 0.285911i
\(247\) −8.42312 + 14.5893i −0.535950 + 0.928293i
\(248\) 10.0393 6.13470i 0.637496 0.389554i
\(249\) 23.1877 + 19.3996i 1.46946 + 1.22940i
\(250\) 4.68287 2.75577i 0.296171 0.174290i
\(251\) 11.8022i 0.744948i −0.928043 0.372474i \(-0.878510\pi\)
0.928043 0.372474i \(-0.121490\pi\)
\(252\) 3.55612 + 15.4711i 0.224014 + 0.974586i
\(253\) 8.17302i 0.513834i
\(254\) −6.32316 10.7449i −0.396750 0.674196i
\(255\) −1.74321 1.45843i −0.109164 0.0913304i
\(256\) −7.06224 + 14.3570i −0.441390 + 0.897315i
\(257\) −8.86901 + 15.3616i −0.553233 + 0.958228i 0.444805 + 0.895627i \(0.353273\pi\)
−0.998039 + 0.0626011i \(0.980060\pi\)
\(258\) 1.92591 11.5819i 0.119902 0.721060i
\(259\) 0.727204 + 22.7968i 0.0451863 + 1.41653i
\(260\) −2.20006 + 1.31942i −0.136442 + 0.0818267i
\(261\) 2.19109 + 12.2191i 0.135625 + 0.756346i
\(262\) 0.0591649 + 7.12259i 0.00365522 + 0.440035i
\(263\) 6.27815 3.62469i 0.387128 0.223508i −0.293787 0.955871i \(-0.594916\pi\)
0.680915 + 0.732363i \(0.261582\pi\)
\(264\) 7.25421 + 1.08275i 0.446466 + 0.0666390i
\(265\) 0.389559i 0.0239304i
\(266\) −10.2457 16.2052i −0.628204 0.993605i
\(267\) −3.03134 8.29114i −0.185515 0.507410i
\(268\) 0.117190 + 7.05348i 0.00715850 + 0.430860i
\(269\) −2.95817 + 1.70790i −0.180363 + 0.104132i −0.587463 0.809251i \(-0.699873\pi\)
0.407100 + 0.913383i \(0.366540\pi\)
\(270\) 1.40197 2.50083i 0.0853213 0.152196i
\(271\) 3.96989 + 2.29201i 0.241153 + 0.139230i 0.615707 0.787975i \(-0.288871\pi\)
−0.374553 + 0.927205i \(0.622204\pi\)
\(272\) −6.33602 + 11.8682i −0.384177 + 0.719612i
\(273\) 14.9161 + 2.12020i 0.902764 + 0.128320i
\(274\) −9.01998 5.10826i −0.544917 0.308601i
\(275\) −3.62896 + 6.28555i −0.218835 + 0.379033i
\(276\) 2.94690 18.6795i 0.177383 1.12438i
\(277\) −10.6940 + 6.17421i −0.642543 + 0.370972i −0.785593 0.618743i \(-0.787642\pi\)
0.143050 + 0.989715i \(0.454309\pi\)
\(278\) 11.2965 + 19.1962i 0.677521 + 1.15131i
\(279\) 8.04900 + 9.53617i 0.481881 + 0.570916i
\(280\) −0.165768 2.91490i −0.00990653 0.174199i
\(281\) 7.91565i 0.472208i −0.971728 0.236104i \(-0.924129\pi\)
0.971728 0.236104i \(-0.0758706\pi\)
\(282\) −7.81383 + 9.49882i −0.465307 + 0.565646i
\(283\) −11.3552 19.6678i −0.674999 1.16913i −0.976469 0.215656i \(-0.930811\pi\)
0.301471 0.953475i \(-0.402522\pi\)
\(284\) −25.0654 13.9215i −1.48736 0.826090i
\(285\) −0.596338 + 3.41089i −0.0353240 + 0.202043i
\(286\) 3.43032 6.05714i 0.202839 0.358166i
\(287\) 15.5720 + 25.0887i 0.919189 + 1.48094i
\(288\) −16.1892 5.09026i −0.953956 0.299946i
\(289\) 2.84381 4.92562i 0.167283 0.289742i
\(290\) −0.0189648 2.28309i −0.00111365 0.134068i
\(291\) 11.9569 + 10.0036i 0.700928 + 0.586420i
\(292\) 0.105926 + 6.37554i 0.00619885 + 0.373100i
\(293\) 12.8246i 0.749220i 0.927183 + 0.374610i \(0.122223\pi\)
−0.927183 + 0.374610i \(0.877777\pi\)
\(294\) −10.0268 + 13.9091i −0.584772 + 0.811197i
\(295\) 0.612840 0.0356809
\(296\) −21.4137 11.6617i −1.24465 0.677821i
\(297\) 0.0338081 + 7.77942i 0.00196175 + 0.451408i
\(298\) 25.4258 0.211203i 1.47288 0.0122347i
\(299\) −15.5430 8.97373i −0.898872 0.518964i
\(300\) 10.5604 13.0572i 0.609703 0.753858i
\(301\) 10.7749 6.68778i 0.621056 0.385477i
\(302\) 10.9993 19.4222i 0.632939 1.11762i
\(303\) −1.59789 + 9.13951i −0.0917966 + 0.525051i
\(304\) 20.4849 0.680878i 1.17489 0.0390511i
\(305\) 2.30359 1.32998i 0.131903 0.0761542i
\(306\) −13.4629 4.72997i −0.769624 0.270395i
\(307\) −12.3622 −0.705549 −0.352774 0.935708i \(-0.614762\pi\)
−0.352774 + 0.935708i \(0.614762\pi\)
\(308\) 4.28910 + 6.66075i 0.244394 + 0.379532i
\(309\) 14.4792 5.29377i 0.823694 0.301152i
\(310\) −1.16403 1.97802i −0.0661123 0.112344i
\(311\) 0.720819 + 1.24850i 0.0408739 + 0.0707957i 0.885739 0.464184i \(-0.153652\pi\)
−0.844865 + 0.534980i \(0.820319\pi\)
\(312\) −10.0240 + 12.6068i −0.567498 + 0.713719i
\(313\) −20.8822 12.0564i −1.18033 0.681466i −0.224242 0.974533i \(-0.571991\pi\)
−0.956092 + 0.293067i \(0.905324\pi\)
\(314\) 3.53017 6.23345i 0.199219 0.351774i
\(315\) 3.02912 0.643477i 0.170672 0.0362558i
\(316\) −0.492538 0.821284i −0.0277074 0.0462008i
\(317\) −13.4686 + 23.3283i −0.756472 + 1.31025i 0.188167 + 0.982137i \(0.439745\pi\)
−0.944639 + 0.328111i \(0.893588\pi\)
\(318\) −0.858887 2.29001i −0.0481640 0.128418i
\(319\) 3.09764 + 5.36527i 0.173435 + 0.300398i
\(320\) 2.77742 + 1.42400i 0.155263 + 0.0796040i
\(321\) −9.34067 25.5481i −0.521345 1.42595i
\(322\) 17.2645 10.9154i 0.962114 0.608294i
\(323\) 17.2342 0.958935
\(324\) 2.72771 17.7921i 0.151540 0.988451i
\(325\) −7.96898 13.8027i −0.442039 0.765635i
\(326\) −0.147504 17.7574i −0.00816952 0.983491i
\(327\) −5.22113 + 29.8634i −0.288729 + 1.65145i
\(328\) −31.5574 + 0.786555i −1.74247 + 0.0434302i
\(329\) −13.2785 + 0.423575i −0.732066 + 0.0233524i
\(330\) 0.234697 1.41141i 0.0129196 0.0776956i
\(331\) −15.2782 8.82087i −0.839766 0.484839i 0.0174189 0.999848i \(-0.494455\pi\)
−0.857185 + 0.515009i \(0.827788\pi\)
\(332\) −30.5184 16.9502i −1.67492 0.930262i
\(333\) 8.77498 24.3281i 0.480866 1.33317i
\(334\) −5.33025 9.05766i −0.291658 0.495613i
\(335\) 1.37615 0.0751868
\(336\) −7.40114 16.7697i −0.403765 0.914863i
\(337\) 11.0396 0.601365 0.300682 0.953724i \(-0.402786\pi\)
0.300682 + 0.953724i \(0.402786\pi\)
\(338\) −1.57162 2.67065i −0.0854850 0.145264i
\(339\) 0.0964636 + 0.0807047i 0.00523918 + 0.00438328i
\(340\) 2.29432 + 1.27429i 0.124427 + 0.0691079i
\(341\) 5.39334 + 3.11385i 0.292066 + 0.168624i
\(342\) 4.01465 + 21.3656i 0.217087 + 1.15532i
\(343\) −18.4356 + 1.76905i −0.995428 + 0.0955198i
\(344\) 0.337805 + 13.5531i 0.0182132 + 0.730734i
\(345\) −3.63385 0.635319i −0.195640 0.0342045i
\(346\) 0.206781 + 24.8934i 0.0111166 + 1.33828i
\(347\) −10.8299 18.7579i −0.581377 1.00697i −0.995316 0.0966701i \(-0.969181\pi\)
0.413940 0.910304i \(-0.364152\pi\)
\(348\) −5.14516 13.3793i −0.275810 0.717205i
\(349\) 6.46130 0.345865 0.172933 0.984934i \(-0.444676\pi\)
0.172933 + 0.984934i \(0.444676\pi\)
\(350\) 18.1241 0.728891i 0.968774 0.0389609i
\(351\) −14.8315 8.47727i −0.791649 0.452483i
\(352\) −8.46193 + 0.351646i −0.451023 + 0.0187428i
\(353\) 14.9846 + 25.9541i 0.797549 + 1.38140i 0.921208 + 0.389071i \(0.127204\pi\)
−0.123659 + 0.992325i \(0.539463\pi\)
\(354\) 3.60257 1.35117i 0.191474 0.0718138i
\(355\) −2.79659 + 4.84383i −0.148428 + 0.257084i
\(356\) 5.24275 + 8.74203i 0.277865 + 0.463327i
\(357\) −5.75137 14.2997i −0.304395 0.756821i
\(358\) −11.3148 + 19.9792i −0.598005 + 1.05594i
\(359\) 9.44412 + 5.45257i 0.498442 + 0.287775i 0.728070 0.685503i \(-0.240418\pi\)
−0.229628 + 0.973278i \(0.573751\pi\)
\(360\) −1.04531 + 3.14117i −0.0550925 + 0.165554i
\(361\) −3.62795 6.28380i −0.190945 0.330726i
\(362\) −4.44225 7.54869i −0.233479 0.396750i
\(363\) −5.20915 14.2478i −0.273409 0.747814i
\(364\) −17.3763 + 0.843438i −0.910766 + 0.0442082i
\(365\) 1.24388 0.0651075
\(366\) 10.6093 12.8971i 0.554557 0.674143i
\(367\) −2.43552 + 1.40615i −0.127133 + 0.0734002i −0.562218 0.826989i \(-0.690052\pi\)
0.435085 + 0.900389i \(0.356718\pi\)
\(368\) 0.725387 + 21.8240i 0.0378134 + 1.13765i
\(369\) −5.90961 32.9565i −0.307642 1.71564i
\(370\) −2.34398 + 4.13891i −0.121858 + 0.215171i
\(371\) 1.24726 2.32877i 0.0647545 0.120904i
\(372\) −11.2038 9.06137i −0.580889 0.469810i
\(373\) 26.9266 + 15.5461i 1.39421 + 0.804947i 0.993778 0.111380i \(-0.0355271\pi\)
0.400431 + 0.916327i \(0.368860\pi\)
\(374\) −7.12109 + 0.0591524i −0.368223 + 0.00305870i
\(375\) −5.10401 4.27019i −0.263570 0.220511i
\(376\) 6.79258 12.4729i 0.350301 0.643238i
\(377\) −13.6045 −0.700665
\(378\) 16.3879 10.4612i 0.842903 0.538065i
\(379\) 17.6950i 0.908931i 0.890764 + 0.454465i \(0.150170\pi\)
−0.890764 + 0.454465i \(0.849830\pi\)
\(380\) −0.0664203 3.99774i −0.00340729 0.205080i
\(381\) −9.79800 + 11.7112i −0.501967 + 0.599984i
\(382\) −0.0988546 11.9007i −0.00505784 0.608890i
\(383\) 17.4953 30.3028i 0.893968 1.54840i 0.0588917 0.998264i \(-0.481243\pi\)
0.835076 0.550134i \(-0.185423\pi\)
\(384\) 19.4666 + 2.24738i 0.993402 + 0.114686i
\(385\) 1.31306 0.814994i 0.0669200 0.0415359i
\(386\) −9.16202 + 16.1780i −0.466335 + 0.823436i
\(387\) −14.1539 + 2.53802i −0.719485 + 0.129015i
\(388\) −15.7371 8.74052i −0.798931 0.443733i
\(389\) 10.4422 + 18.0864i 0.529439 + 0.917015i 0.999410 + 0.0343338i \(0.0109309\pi\)
−0.469971 + 0.882682i \(0.655736\pi\)
\(390\) 2.42644 + 1.99602i 0.122868 + 0.101072i
\(391\) 18.3608i 0.928543i
\(392\) 8.34175 17.9559i 0.421322 0.906911i
\(393\) 8.19322 2.99554i 0.413293 0.151105i
\(394\) −12.6322 21.4659i −0.636402 1.08144i
\(395\) −0.161786 + 0.0934070i −0.00814032 + 0.00469982i
\(396\) −1.73217 8.81440i −0.0870447 0.442940i
\(397\) 2.44443 4.23387i 0.122682 0.212492i −0.798142 0.602469i \(-0.794184\pi\)
0.920825 + 0.389977i \(0.127517\pi\)
\(398\) 24.5381 + 13.8966i 1.22998 + 0.696574i
\(399\) −14.4856 + 18.4808i −0.725186 + 0.925200i
\(400\) −9.13235 + 17.1060i −0.456617 + 0.855301i
\(401\) 6.62355 + 3.82411i 0.330764 + 0.190967i 0.656180 0.754604i \(-0.272171\pi\)
−0.325416 + 0.945571i \(0.605504\pi\)
\(402\) 8.08964 3.03408i 0.403475 0.151326i
\(403\) −11.8434 + 6.83782i −0.589964 + 0.340616i
\(404\) −0.177974 10.7120i −0.00885453 0.532942i
\(405\) −3.46148 0.589691i −0.172002 0.0293020i
\(406\) 7.19644 13.7090i 0.357153 0.680364i
\(407\) 12.9067i 0.639762i
\(408\) 16.2966 + 2.43242i 0.806804 + 0.120423i
\(409\) −6.66584 + 3.84852i −0.329604 + 0.190297i −0.655666 0.755051i \(-0.727612\pi\)
0.326061 + 0.945349i \(0.394279\pi\)
\(410\) 0.0511504 + 6.15776i 0.00252614 + 0.304110i
\(411\) −2.18648 + 12.5060i −0.107851 + 0.616877i
\(412\) −15.2666 + 9.15566i −0.752133 + 0.451067i
\(413\) 3.66354 + 1.96214i 0.180271 + 0.0965507i
\(414\) −22.7622 + 4.27708i −1.11870 + 0.210207i
\(415\) −3.40499 + 5.89762i −0.167145 + 0.289503i
\(416\) 8.62221 16.4785i 0.422738 0.807924i
\(417\) 17.5045 20.9225i 0.857197 1.02458i
\(418\) 5.50246 + 9.35030i 0.269134 + 0.457338i
\(419\) 4.38235i 0.214092i 0.994254 + 0.107046i \(0.0341392\pi\)
−0.994254 + 0.107046i \(0.965861\pi\)
\(420\) −3.29488 + 1.38923i −0.160774 + 0.0677876i
\(421\) 11.9400i 0.581921i 0.956735 + 0.290961i \(0.0939749\pi\)
−0.956735 + 0.290961i \(0.906025\pi\)
\(422\) 17.6924 10.4116i 0.861251 0.506829i
\(423\) 14.1704 + 5.11117i 0.688990 + 0.248514i
\(424\) 1.47258 + 2.40984i 0.0715146 + 0.117032i
\(425\) −8.15249 + 14.1205i −0.395454 + 0.684946i
\(426\) −5.76017 + 34.6402i −0.279081 + 1.67832i
\(427\) 18.0290 0.575113i 0.872484 0.0278317i
\(428\) 16.1548 + 26.9374i 0.780873 + 1.30207i
\(429\) −8.39811 1.46827i −0.405464 0.0708888i
\(430\) 2.64460 0.0219677i 0.127534 0.00105938i
\(431\) −0.588922 + 0.340014i −0.0283674 + 0.0163779i −0.514117 0.857720i \(-0.671880\pi\)
0.485749 + 0.874098i \(0.338547\pi\)
\(432\) 0.780729 + 20.7699i 0.0375628 + 0.999294i
\(433\) 0.238499i 0.0114615i 0.999984 + 0.00573077i \(0.00182417\pi\)
−0.999984 + 0.00573077i \(0.998176\pi\)
\(434\) −0.625428 15.5515i −0.0300215 0.746494i
\(435\) −2.62627 + 0.960196i −0.125920 + 0.0460379i
\(436\) −0.581531 35.0015i −0.0278503 1.67627i
\(437\) 24.2247 13.9861i 1.15882 0.669046i
\(438\) 7.31211 2.74246i 0.349386 0.131040i
\(439\) 3.29894 + 1.90465i 0.157450 + 0.0909038i 0.576655 0.816988i \(-0.304358\pi\)
−0.419205 + 0.907892i \(0.637691\pi\)
\(440\) 0.0411659 + 1.65162i 0.00196251 + 0.0787380i
\(441\) 20.1682 + 5.85172i 0.960392 + 0.278653i
\(442\) 7.70624 13.6074i 0.366549 0.647238i
\(443\) 3.02001 5.23080i 0.143485 0.248523i −0.785322 0.619088i \(-0.787503\pi\)
0.928807 + 0.370565i \(0.120836\pi\)
\(444\) −4.65370 + 29.4984i −0.220855 + 1.39993i
\(445\) 1.72210 0.994257i 0.0816355 0.0471323i
\(446\) −3.38709 + 1.99323i −0.160383 + 0.0943822i
\(447\) −10.6933 29.2477i −0.505776 1.38337i
\(448\) 12.0441 + 17.4052i 0.569030 + 0.822317i
\(449\) 28.1482i 1.32839i −0.747558 0.664197i \(-0.768774\pi\)
0.747558 0.664197i \(-0.231226\pi\)
\(450\) −19.4046 6.81750i −0.914743 0.321380i
\(451\) −8.35470 14.4708i −0.393408 0.681402i
\(452\) −0.126960 0.0705149i −0.00597172 0.00331674i
\(453\) −26.9285 4.70801i −1.26521 0.221201i
\(454\) −19.9555 11.3013i −0.936557 0.530398i
\(455\) 0.108201 + 3.39194i 0.00507254 + 0.159017i
\(456\) −9.20453 23.3542i −0.431042 1.09366i
\(457\) −6.23304 + 10.7959i −0.291569 + 0.505013i −0.974181 0.225768i \(-0.927511\pi\)
0.682612 + 0.730781i \(0.260844\pi\)
\(458\) 29.1742 0.242340i 1.36322 0.0113238i
\(459\) 0.0759502 + 17.4765i 0.00354505 + 0.815734i
\(460\) 4.25907 0.0707621i 0.198580 0.00329930i
\(461\) 31.6209i 1.47273i −0.676583 0.736367i \(-0.736540\pi\)
0.676583 0.736367i \(-0.263460\pi\)
\(462\) 5.92195 7.68593i 0.275514 0.357582i
\(463\) 23.5095 1.09258 0.546290 0.837596i \(-0.316040\pi\)
0.546290 + 0.837596i \(0.316040\pi\)
\(464\) 8.74765 + 14.0517i 0.406099 + 0.652332i
\(465\) −1.80371 + 2.15591i −0.0836449 + 0.0999779i
\(466\) −0.0244784 2.94684i −0.00113394 0.136510i
\(467\) −12.7642 7.36942i −0.590657 0.341016i 0.174700 0.984622i \(-0.444104\pi\)
−0.765357 + 0.643606i \(0.777438\pi\)
\(468\) 18.6645 + 6.38381i 0.862769 + 0.295092i
\(469\) 8.22655 + 4.40603i 0.379867 + 0.203452i
\(470\) −2.41079 1.36530i −0.111201 0.0629765i
\(471\) −8.64256 1.51101i −0.398228 0.0696237i
\(472\) −3.79107 + 2.31660i −0.174498 + 0.106630i
\(473\) −6.21481 + 3.58812i −0.285757 + 0.164982i
\(474\) −0.745113 + 0.905791i −0.0342242 + 0.0416044i
\(475\) 24.8403 1.13975
\(476\) 9.63548 + 14.9634i 0.441642 + 0.685848i
\(477\) −2.28907 + 1.93208i −0.104809 + 0.0884641i
\(478\) 1.03815 0.610931i 0.0474840 0.0279433i
\(479\) −17.3034 29.9703i −0.790611 1.36938i −0.925589 0.378529i \(-0.876430\pi\)
0.134979 0.990848i \(-0.456903\pi\)
\(480\) 0.501431 3.78964i 0.0228871 0.172973i
\(481\) 24.5452 + 14.1712i 1.11916 + 0.646150i
\(482\) 18.5315 + 10.4949i 0.844087 + 0.478030i
\(483\) −19.6889 15.4325i −0.895877 0.702203i
\(484\) 9.00930 + 15.0226i 0.409514 + 0.682844i
\(485\) −1.75582 + 3.04117i −0.0797276 + 0.138092i
\(486\) −21.6483 + 4.16526i −0.981989 + 0.188940i
\(487\) −12.0284 20.8338i −0.545058 0.944068i −0.998603 0.0528351i \(-0.983174\pi\)
0.453545 0.891233i \(-0.350159\pi\)
\(488\) −9.22269 + 16.9351i −0.417492 + 0.766618i
\(489\) −20.4266 + 7.46820i −0.923723 + 0.337724i
\(490\) −3.47523 1.68523i −0.156995 0.0761308i
\(491\) 15.3708 0.693675 0.346837 0.937925i \(-0.387256\pi\)
0.346837 + 0.937925i \(0.387256\pi\)
\(492\) 13.8771 + 36.0855i 0.625628 + 1.62686i
\(493\) 6.95887 + 12.0531i 0.313412 + 0.542845i
\(494\) −23.8234 + 0.197892i −1.07186 + 0.00890360i
\(495\) −1.72484 + 0.309291i −0.0775259 + 0.0139016i
\(496\) 14.6779 + 7.83605i 0.659057 + 0.351849i
\(497\) −32.2265 + 20.0024i −1.44556 + 0.897229i
\(498\) −7.01330 + 42.1763i −0.314274 + 1.88996i
\(499\) 22.8684 + 13.2031i 1.02373 + 0.591051i 0.915182 0.403040i \(-0.132047\pi\)
0.108548 + 0.994091i \(0.465380\pi\)
\(500\) 6.71763 + 3.73103i 0.300422 + 0.166857i
\(501\) −8.25944 + 9.87223i −0.369005 + 0.441059i
\(502\) 14.3849 8.46519i 0.642028 0.377820i
\(503\) −28.3616 −1.26458 −0.632291 0.774731i \(-0.717885\pi\)
−0.632291 + 0.774731i \(0.717885\pi\)
\(504\) −16.3059 + 15.4310i −0.726325 + 0.687352i
\(505\) −2.08993 −0.0930006
\(506\) −9.96152 + 5.86215i −0.442844 + 0.260604i
\(507\) −2.43530 + 2.91083i −0.108155 + 0.129274i
\(508\) 8.56090 15.4137i 0.379828 0.683873i
\(509\) 18.3731 + 10.6077i 0.814373 + 0.470179i 0.848472 0.529240i \(-0.177523\pi\)
−0.0340991 + 0.999418i \(0.510856\pi\)
\(510\) 0.527249 3.17074i 0.0233470 0.140403i
\(511\) 7.43586 + 3.98255i 0.328943 + 0.176178i
\(512\) −22.5642 + 1.69001i −0.997207 + 0.0746885i
\(513\) 23.0002 13.4128i 1.01548 0.592188i
\(514\) −25.0845 + 0.208368i −1.10643 + 0.00919072i
\(515\) 1.73632 + 3.00739i 0.0765113 + 0.132522i
\(516\) 15.4978 5.95985i 0.682251 0.262368i
\(517\) 7.51778 0.330631
\(518\) −27.2638 + 17.2375i −1.19790 + 0.757371i
\(519\) 28.6352 10.4694i 1.25695 0.459554i
\(520\) −3.18615 1.73514i −0.139722 0.0760910i
\(521\) −5.91179 10.2395i −0.259000 0.448601i 0.706974 0.707239i \(-0.250060\pi\)
−0.965974 + 0.258638i \(0.916726\pi\)
\(522\) −13.3215 + 11.4348i −0.583065 + 0.500488i
\(523\) 3.37960 5.85364i 0.147780 0.255962i −0.782627 0.622491i \(-0.786121\pi\)
0.930407 + 0.366529i \(0.119454\pi\)
\(524\) −8.63878 + 5.18083i −0.377387 + 0.226326i
\(525\) −8.28967 20.6107i −0.361791 0.899526i
\(526\) 8.92092 + 5.05217i 0.388971 + 0.220285i
\(527\) 12.1162 + 6.99528i 0.527789 + 0.304719i
\(528\) 3.88343 + 9.61826i 0.169005 + 0.418581i
\(529\) 3.40036 + 5.88960i 0.147842 + 0.256070i
\(530\) 0.474806 0.279413i 0.0206242 0.0121369i
\(531\) −3.03948 3.60108i −0.131902 0.156273i
\(532\) 12.4026 24.1110i 0.537720 1.04535i
\(533\) 36.6928 1.58934
\(534\) 7.93124 9.64155i 0.343218 0.417231i
\(535\) 5.30643 3.06367i 0.229417 0.132454i
\(536\) −8.51293 + 5.20198i −0.367702 + 0.224691i
\(537\) 27.7008 + 4.84304i 1.19538 + 0.208993i
\(538\) −4.20340 2.38050i −0.181221 0.102631i
\(539\) 10.4588 0.667940i 0.450494 0.0287702i
\(540\) 4.05366 0.0849721i 0.174442 0.00365662i
\(541\) −15.3128 8.84087i −0.658351 0.380099i 0.133298 0.991076i \(-0.457443\pi\)
−0.791648 + 0.610977i \(0.790777\pi\)
\(542\) 0.0538485 + 6.48257i 0.00231299 + 0.278450i
\(543\) −6.88345 + 8.22755i −0.295397 + 0.353078i
\(544\) −19.0098 + 0.789975i −0.815038 + 0.0338699i
\(545\) −6.82885 −0.292516
\(546\) 8.11450 + 19.7009i 0.347269 + 0.843121i
\(547\) 1.49834i 0.0640644i 0.999487 + 0.0320322i \(0.0101979\pi\)
−0.999487 + 0.0320322i \(0.989802\pi\)
\(548\) −0.243530 14.6577i −0.0104031 0.626148i
\(549\) −19.2400 6.93974i −0.821145 0.296181i
\(550\) −10.2639 + 0.0852587i −0.437654 + 0.00363544i
\(551\) 10.6017 18.3627i 0.451647 0.782276i
\(552\) 24.8808 9.80622i 1.05900 0.417381i
\(553\) −1.26621 + 0.0403914i −0.0538448 + 0.00171762i
\(554\) −15.1957 8.60573i −0.645602 0.365622i
\(555\) 5.73852 + 1.00329i 0.243586 + 0.0425871i
\(556\) −15.2943 + 27.5371i −0.648624 + 1.16783i
\(557\) −1.46808 2.54278i −0.0622044 0.107741i 0.833246 0.552902i \(-0.186480\pi\)
−0.895450 + 0.445161i \(0.853146\pi\)
\(558\) −5.84978 + 16.6502i −0.247641 + 0.704860i
\(559\) 15.7586i 0.666518i
\(560\) 3.43387 2.29277i 0.145107 0.0968873i
\(561\) 2.99491 + 8.19150i 0.126445 + 0.345845i
\(562\) 9.64783 5.67755i 0.406969 0.239493i
\(563\) 14.3950 8.31096i 0.606677 0.350265i −0.164987 0.986296i \(-0.552758\pi\)
0.771664 + 0.636031i \(0.219425\pi\)
\(564\) −17.1819 2.71064i −0.723490 0.114139i
\(565\) −0.0141652 + 0.0245348i −0.000595934 + 0.00103219i
\(566\) 15.8271 27.9470i 0.665264 1.17470i
\(567\) −18.8046 14.6078i −0.789717 0.613471i
\(568\) −1.01033 40.5357i −0.0423927 1.70084i
\(569\) 19.2204 + 11.0969i 0.805763 + 0.465207i 0.845482 0.534003i \(-0.179313\pi\)
−0.0397194 + 0.999211i \(0.512646\pi\)
\(570\) −4.58501 + 1.71964i −0.192045 + 0.0720279i
\(571\) 5.22532 3.01684i 0.218673 0.126251i −0.386663 0.922221i \(-0.626372\pi\)
0.605336 + 0.795970i \(0.293039\pi\)
\(572\) 9.84303 0.163537i 0.411558 0.00683781i
\(573\) −13.6895 + 5.00504i −0.571887 + 0.209089i
\(574\) −19.4096 + 36.9746i −0.810143 + 1.54329i
\(575\) 26.4641i 1.10363i
\(576\) −5.40762 23.3828i −0.225317 0.974285i
\(577\) −17.4549 + 10.0776i −0.726659 + 0.419537i −0.817199 0.576356i \(-0.804474\pi\)
0.0905396 + 0.995893i \(0.471141\pi\)
\(578\) 8.04323 0.0668123i 0.334554 0.00277902i
\(579\) 22.4304 + 3.92160i 0.932177 + 0.162976i
\(580\) 2.76909 1.66067i 0.114980 0.0689557i
\(581\) −39.2375 + 24.3539i −1.62784 + 1.01037i
\(582\) −3.61648 + 21.7486i −0.149908 + 0.901508i
\(583\) −0.747449 + 1.29462i −0.0309562 + 0.0536177i
\(584\) −7.69472 + 4.70200i −0.318410 + 0.194570i
\(585\) 1.30563 3.61979i 0.0539812 0.149660i
\(586\) −15.6310 + 9.19850i −0.645709 + 0.379986i
\(587\) 0.369829i 0.0152645i 0.999971 + 0.00763224i \(0.00242944\pi\)
−0.999971 + 0.00763224i \(0.997571\pi\)
\(588\) −24.1446 2.24450i −0.995707 0.0925616i
\(589\) 21.3143i 0.878241i
\(590\) 0.439563 + 0.746947i 0.0180965 + 0.0307513i
\(591\) −19.5742 + 23.3963i −0.805174 + 0.962396i
\(592\) −1.14552 34.4640i −0.0470805 1.41646i
\(593\) 4.89233 8.47376i 0.200904 0.347976i −0.747916 0.663793i \(-0.768945\pi\)
0.948820 + 0.315818i \(0.102279\pi\)
\(594\) −9.45753 + 5.62104i −0.388047 + 0.230634i
\(595\) 2.94981 1.83089i 0.120930 0.0750592i
\(596\) 18.4942 + 30.8382i 0.757553 + 1.26318i
\(597\) 5.94813 34.0216i 0.243441 1.39241i
\(598\) −0.210828 25.3807i −0.00862141 1.03789i
\(599\) 31.2524 18.0436i 1.27694 0.737240i 0.300653 0.953734i \(-0.402795\pi\)
0.976284 + 0.216494i \(0.0694621\pi\)
\(600\) 23.4890 + 3.50594i 0.958934 + 0.143129i
\(601\) 9.75944i 0.398096i −0.979990 0.199048i \(-0.936215\pi\)
0.979990 0.199048i \(-0.0637849\pi\)
\(602\) 15.8796 + 8.33593i 0.647206 + 0.339747i
\(603\) −6.82523 8.08629i −0.277945 0.329299i
\(604\) 31.5616 0.524379i 1.28422 0.0213367i
\(605\) 2.95932 1.70856i 0.120313 0.0694629i
\(606\) −12.2856 + 4.60780i −0.499068 + 0.187179i
\(607\) −7.33740 4.23625i −0.297816 0.171944i 0.343645 0.939099i \(-0.388338\pi\)
−0.641461 + 0.767155i \(0.721672\pi\)
\(608\) 15.5228 + 24.4792i 0.629532 + 0.992764i
\(609\) −18.7741 2.66857i −0.760763 0.108136i
\(610\) 3.27328 + 1.85375i 0.132531 + 0.0750560i
\(611\) −8.25429 + 14.2968i −0.333933 + 0.578388i
\(612\) −3.89133 19.8016i −0.157298 0.800432i
\(613\) −10.1968 + 5.88712i −0.411844 + 0.237779i −0.691582 0.722298i \(-0.743086\pi\)
0.279737 + 0.960077i \(0.409753\pi\)
\(614\) −8.86687 15.0674i −0.357838 0.608072i
\(615\) 7.08336 2.58976i 0.285629 0.104429i
\(616\) −5.04194 + 10.0051i −0.203146 + 0.403118i
\(617\) 17.5244i 0.705506i −0.935717 0.352753i \(-0.885246\pi\)
0.935717 0.352753i \(-0.114754\pi\)
\(618\) 16.8375 + 13.8507i 0.677304 + 0.557157i
\(619\) 12.8081 + 22.1843i 0.514801 + 0.891661i 0.999852 + 0.0171755i \(0.00546739\pi\)
−0.485052 + 0.874485i \(0.661199\pi\)
\(620\) 1.57597 2.83750i 0.0632925 0.113957i
\(621\) 14.2895 + 24.5037i 0.573419 + 0.983298i
\(622\) −1.00469 + 1.77405i −0.0402844 + 0.0711328i
\(623\) 13.4780 0.429940i 0.539985 0.0172252i
\(624\) −22.5553 3.17528i −0.902935 0.127113i
\(625\) −11.3700 + 19.6933i −0.454798 + 0.787734i
\(626\) −0.283252 34.0994i −0.0113210 1.36289i
\(627\) 8.52629 10.1912i 0.340507 0.406997i
\(628\) 10.1295 0.168297i 0.404213 0.00671577i
\(629\) 28.9950i 1.15611i
\(630\) 2.95694 + 3.23045i 0.117807 + 0.128704i
\(631\) −7.24555 −0.288441 −0.144220 0.989546i \(-0.546067\pi\)
−0.144220 + 0.989546i \(0.546067\pi\)
\(632\) 0.647729 1.18939i 0.0257653 0.0473114i
\(633\) −19.2835 16.1332i −0.766449 0.641237i
\(634\) −38.0937 + 0.316431i −1.51289 + 0.0125671i
\(635\) −2.97867 1.71973i −0.118205 0.0682456i
\(636\) 2.17509 2.68936i 0.0862481 0.106640i
\(637\) −10.2132 + 20.6234i −0.404663 + 0.817127i
\(638\) −4.31755 + 7.62377i −0.170933 + 0.301828i
\(639\) 42.3328 7.59093i 1.67466 0.300293i
\(640\) 0.256511 + 4.40658i 0.0101395 + 0.174185i
\(641\) −11.9401 + 6.89362i −0.471606 + 0.272282i −0.716912 0.697164i \(-0.754445\pi\)
0.245306 + 0.969446i \(0.421112\pi\)
\(642\) 24.4391 29.7092i 0.964534 1.17253i
\(643\) 20.7470 0.818184 0.409092 0.912493i \(-0.365846\pi\)
0.409092 + 0.912493i \(0.365846\pi\)
\(644\) 25.6871 + 13.2133i 1.01221 + 0.520678i
\(645\) −1.11223 3.04212i −0.0437942 0.119783i
\(646\) 12.3613 + 21.0055i 0.486349 + 0.826451i
\(647\) 16.1242 + 27.9279i 0.633907 + 1.09796i 0.986746 + 0.162275i \(0.0518832\pi\)
−0.352838 + 0.935684i \(0.614783\pi\)
\(648\) 23.6420 9.43688i 0.928746 0.370716i
\(649\) −2.03665 1.17586i −0.0799454 0.0461565i
\(650\) 11.1073 19.6129i 0.435665 0.769280i
\(651\) −17.6851 + 7.11299i −0.693135 + 0.278780i
\(652\) 21.5374 12.9164i 0.843471 0.505844i
\(653\) −9.95455 + 17.2418i −0.389552 + 0.674723i −0.992389 0.123141i \(-0.960703\pi\)
0.602838 + 0.797864i \(0.294037\pi\)
\(654\) −40.1433 + 15.0560i −1.56973 + 0.588737i
\(655\) 0.982514 + 1.70176i 0.0383900 + 0.0664934i
\(656\) −23.5934 37.8990i −0.921168 1.47971i
\(657\) −6.16923 7.30909i −0.240684 0.285155i
\(658\) −10.0403 15.8804i −0.391413 0.619082i
\(659\) −11.4275 −0.445153 −0.222576 0.974915i \(-0.571447\pi\)
−0.222576 + 0.974915i \(0.571447\pi\)
\(660\) 1.88861 0.726286i 0.0735139 0.0282706i
\(661\) −2.31268 4.00568i −0.0899529 0.155803i 0.817538 0.575875i \(-0.195338\pi\)
−0.907491 + 0.420071i \(0.862005\pi\)
\(662\) −0.207237 24.9483i −0.00805450 0.969644i
\(663\) −18.8664 3.29848i −0.732710 0.128102i
\(664\) −1.23013 49.3543i −0.0477385 1.91532i
\(665\) −4.66261 2.49723i −0.180808 0.0968385i
\(666\) 35.9458 6.75429i 1.39287 0.261724i
\(667\) 19.5630 + 11.2947i 0.757483 + 0.437333i
\(668\) 7.21660 12.9933i 0.279218 0.502727i
\(669\) 3.69169 + 3.08859i 0.142729 + 0.119412i
\(670\) 0.987048 + 1.67729i 0.0381330 + 0.0647992i
\(671\) −10.2073 −0.394050
\(672\) 15.1309 21.0489i 0.583687 0.811979i
\(673\) 19.2606 0.742441 0.371220 0.928545i \(-0.378939\pi\)
0.371220 + 0.928545i \(0.378939\pi\)
\(674\) 7.91821 + 13.4554i 0.304998 + 0.518282i
\(675\) 0.109470 + 25.1896i 0.00421350 + 0.969548i
\(676\) 2.12781 3.83108i 0.0818389 0.147349i
\(677\) −36.2236 20.9137i −1.39219 0.803780i −0.398630 0.917112i \(-0.630514\pi\)
−0.993557 + 0.113332i \(0.963848\pi\)
\(678\) −0.0291762 + 0.175459i −0.00112051 + 0.00673844i
\(679\) −20.2332 + 12.5583i −0.776478 + 0.481945i
\(680\) 0.0924795 + 3.71038i 0.00354643 + 0.142287i
\(681\) −4.83728 + 27.6679i −0.185365 + 1.06024i
\(682\) 0.0731565 + 8.80698i 0.00280131 + 0.337237i
\(683\) 6.73357 + 11.6629i 0.257653 + 0.446268i 0.965613 0.259985i \(-0.0837176\pi\)
−0.707960 + 0.706253i \(0.750384\pi\)
\(684\) −23.1615 + 20.2178i −0.885602 + 0.773046i
\(685\) −2.85975 −0.109265
\(686\) −15.3792 21.2010i −0.587180 0.809456i
\(687\) −12.2697 33.5595i −0.468120 1.28037i
\(688\) −16.2766 + 10.1328i −0.620540 + 0.386308i
\(689\) −1.64135 2.84291i −0.0625305 0.108306i
\(690\) −1.83205 4.88473i −0.0697451 0.185958i
\(691\) 15.2232 26.3674i 0.579118 1.00306i −0.416463 0.909153i \(-0.636730\pi\)
0.995581 0.0939090i \(-0.0299363\pi\)
\(692\) −30.1925 + 18.1069i −1.14774 + 0.688323i
\(693\) −11.3013 3.67353i −0.429301 0.139546i
\(694\) 15.0948 26.6539i 0.572993 1.01177i
\(695\) 5.32149 + 3.07236i 0.201856 + 0.116541i
\(696\) 12.6167 15.8674i 0.478233 0.601454i
\(697\) −18.7689 32.5087i −0.710923 1.23135i
\(698\) 4.63440 + 7.87522i 0.175415 + 0.298081i
\(699\) −3.38979 + 1.23935i −0.128214 + 0.0468764i
\(700\) 13.8880 + 21.5674i 0.524917 + 0.815170i
\(701\) −37.2839 −1.40819 −0.704096 0.710105i \(-0.748647\pi\)
−0.704096 + 0.710105i \(0.748647\pi\)
\(702\) −0.305663 24.1575i −0.0115365 0.911765i
\(703\) −38.2552 + 22.0866i −1.44282 + 0.833013i
\(704\) −6.49797 10.0614i −0.244901 0.379204i
\(705\) −0.584385 + 3.34252i −0.0220092 + 0.125886i
\(706\) −20.8858 + 36.8793i −0.786047 + 1.38797i
\(707\) −12.4935 6.69137i −0.469867 0.251655i
\(708\) 4.23080 + 3.42178i 0.159003 + 0.128598i
\(709\) −39.5076 22.8097i −1.48374 0.856637i −0.483910 0.875118i \(-0.660784\pi\)
−0.999829 + 0.0184810i \(0.994117\pi\)
\(710\) −7.90968 + 0.0657029i −0.296845 + 0.00246579i
\(711\) 1.35127 + 0.487392i 0.0506765 + 0.0182786i
\(712\) −6.89465 + 12.6603i −0.258388 + 0.474464i
\(713\) 22.7076 0.850406
\(714\) 13.3037 17.2665i 0.497879 0.646182i
\(715\) 1.92039i 0.0718186i
\(716\) −32.4669 + 0.539419i −1.21334 + 0.0201590i
\(717\) −1.13151 0.946663i −0.0422572 0.0353538i
\(718\) 0.128102 + 15.4217i 0.00478074 + 0.575531i
\(719\) −8.37315 + 14.5027i −0.312266 + 0.540860i −0.978853 0.204567i \(-0.934421\pi\)
0.666587 + 0.745428i \(0.267755\pi\)
\(720\) −4.57830 + 0.978970i −0.170623 + 0.0364840i
\(721\) 0.750825 + 23.5373i 0.0279622 + 0.876575i
\(722\) 5.05671 8.92895i 0.188191 0.332301i
\(723\) 4.49211 25.6936i 0.167063 0.955555i
\(724\) 6.01434 10.8287i 0.223521 0.402445i
\(725\) 10.0301 + 17.3726i 0.372508 + 0.645204i
\(726\) 13.6293 16.5683i 0.505831 0.614909i
\(727\) 14.7144i 0.545726i −0.962053 0.272863i \(-0.912029\pi\)
0.962053 0.272863i \(-0.0879705\pi\)
\(728\) −13.4913 20.5738i −0.500019 0.762515i
\(729\) 13.7027 + 23.2645i 0.507508 + 0.861647i
\(730\) 0.892178 + 1.51607i 0.0330210 + 0.0561124i
\(731\) −13.9616 + 8.06075i −0.516389 + 0.298137i
\(732\) 23.3290 + 3.68040i 0.862263 + 0.136031i
\(733\) −17.1186 + 29.6503i −0.632290 + 1.09516i 0.354793 + 0.934945i \(0.384551\pi\)
−0.987082 + 0.160213i \(0.948782\pi\)
\(734\) −3.46074 1.95991i −0.127738 0.0723417i
\(735\) −0.516028 + 4.70208i −0.0190340 + 0.173439i
\(736\) −26.0794 + 16.5375i −0.961299 + 0.609580i
\(737\) −4.57334 2.64042i −0.168461 0.0972610i
\(738\) 35.9296 30.8410i 1.32259 1.13527i
\(739\) 1.92964 1.11408i 0.0709829 0.0409820i −0.464089 0.885789i \(-0.653618\pi\)
0.535071 + 0.844807i \(0.320285\pi\)
\(740\) −6.72585 + 0.111746i −0.247247 + 0.00410787i
\(741\) 10.0194 + 27.4044i 0.368070 + 1.00673i
\(742\) 3.73298 0.150128i 0.137042 0.00551137i
\(743\) 14.7964i 0.542829i 0.962463 + 0.271414i \(0.0874914\pi\)
−0.962463 + 0.271414i \(0.912509\pi\)
\(744\) 3.00828 20.1548i 0.110289 0.738912i
\(745\) 6.07486 3.50732i 0.222566 0.128498i
\(746\) 0.365239 + 43.9695i 0.0133724 + 1.60984i
\(747\) 51.5423 9.24236i 1.88584 0.338160i
\(748\) −5.17974 8.63696i −0.189390 0.315799i
\(749\) 41.5307 1.32480i 1.51750 0.0484073i
\(750\) 1.54375 9.28373i 0.0563698 0.338994i
\(751\) 18.2439 31.5994i 0.665729 1.15308i −0.313358 0.949635i \(-0.601454\pi\)
0.979087 0.203442i \(-0.0652128\pi\)
\(752\) 20.0743 0.667231i 0.732034 0.0243314i
\(753\) −15.6785 13.1172i −0.571356 0.478016i
\(754\) −9.75788 16.5815i −0.355361 0.603863i
\(755\) 6.15772i 0.224103i
\(756\) 24.5047 + 12.4707i 0.891228 + 0.453556i
\(757\) 19.9557i 0.725302i 0.931925 + 0.362651i \(0.118128\pi\)
−0.931925 + 0.362651i \(0.881872\pi\)
\(758\) −21.5672 + 12.6918i −0.783355 + 0.460988i
\(759\) 10.8574 + 9.08364i 0.394097 + 0.329715i
\(760\) 4.82492 2.94836i 0.175018 0.106948i
\(761\) −18.2013 + 31.5257i −0.659798 + 1.14280i 0.320869 + 0.947124i \(0.396025\pi\)
−0.980668 + 0.195681i \(0.937308\pi\)
\(762\) −21.3016 3.54216i −0.771677 0.128319i
\(763\) −40.8227 21.8641i −1.47788 0.791533i
\(764\) 14.4340 8.65630i 0.522202 0.313174i
\(765\) −3.87487 + 0.694825i −0.140096 + 0.0251215i
\(766\) 49.4825 0.411034i 1.78787 0.0148513i
\(767\) 4.47235 2.58211i 0.161487 0.0932347i
\(768\) 11.2234 + 25.3384i 0.404988 + 0.914322i