Properties

Label 168.2.ba.c.101.12
Level $168$
Weight $2$
Character 168.101
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 101.12
Character \(\chi\) \(=\) 168.101
Dual form 168.2.ba.c.5.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.0857242 + 1.41161i) q^{2} +(-0.528554 - 1.64943i) q^{3} +(-1.98530 - 0.242019i) q^{4} +(-2.66818 + 1.54047i) q^{5} +(2.37367 - 0.604718i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(0.511826 - 2.78173i) q^{8} +(-2.44126 + 1.74363i) q^{9} +O(q^{10})\) \(q+(-0.0857242 + 1.41161i) q^{2} +(-0.528554 - 1.64943i) q^{3} +(-1.98530 - 0.242019i) q^{4} +(-2.66818 + 1.54047i) q^{5} +(2.37367 - 0.604718i) q^{6} +(-1.46307 + 2.20441i) q^{7} +(0.511826 - 2.78173i) q^{8} +(-2.44126 + 1.74363i) q^{9} +(-1.94583 - 3.89849i) q^{10} +(0.621780 - 1.07696i) q^{11} +(0.650147 + 3.40254i) q^{12} -5.98957 q^{13} +(-2.98636 - 2.25426i) q^{14} +(3.95119 + 3.58676i) q^{15} +(3.88285 + 0.960961i) q^{16} +(-0.595854 + 1.03205i) q^{17} +(-2.25206 - 3.59559i) q^{18} +(0.614126 + 1.06370i) q^{19} +(5.66997 - 2.41256i) q^{20} +(4.40934 + 1.24808i) q^{21} +(1.46694 + 0.970035i) q^{22} +(2.56956 - 1.48354i) q^{23} +(-4.85881 + 0.626075i) q^{24} +(2.24612 - 3.89040i) q^{25} +(0.513451 - 8.45496i) q^{26} +(4.16634 + 3.10509i) q^{27} +(3.43814 - 4.02234i) q^{28} +3.19900 q^{29} +(-5.40183 + 5.27008i) q^{30} +(1.33987 + 0.773574i) q^{31} +(-1.68936 + 5.39871i) q^{32} +(-2.10501 - 0.456356i) q^{33} +(-1.40578 - 0.929587i) q^{34} +(0.507883 - 8.13559i) q^{35} +(5.26863 - 2.87080i) q^{36} +(-0.334978 + 0.193399i) q^{37} +(-1.55417 + 0.775723i) q^{38} +(3.16581 + 9.87940i) q^{39} +(2.91955 + 8.21062i) q^{40} -9.44060 q^{41} +(-2.13979 + 6.11729i) q^{42} +8.29057i q^{43} +(-1.49507 + 1.98760i) q^{44} +(3.82770 - 8.41302i) q^{45} +(1.87391 + 3.75440i) q^{46} +(-3.34244 - 5.78928i) q^{47} +(-0.467258 - 6.91243i) q^{48} +(-2.71887 - 6.45041i) q^{49} +(5.29919 + 3.50416i) q^{50} +(2.01724 + 0.437327i) q^{51} +(11.8911 + 1.44959i) q^{52} +(-5.25317 + 9.09875i) q^{53} +(-4.74035 + 5.61508i) q^{54} +3.83135i q^{55} +(5.38325 + 5.19813i) q^{56} +(1.42990 - 1.57518i) q^{57} +(-0.274232 + 4.51576i) q^{58} +(3.22898 + 1.86425i) q^{59} +(-6.97624 - 8.07707i) q^{60} +(3.16493 + 5.48181i) q^{61} +(-1.20685 + 1.82506i) q^{62} +(-0.271956 - 7.93259i) q^{63} +(-7.47607 - 2.84752i) q^{64} +(15.9813 - 9.22678i) q^{65} +(0.824648 - 2.93234i) q^{66} +(-10.7324 - 6.19634i) q^{67} +(1.43273 - 1.90472i) q^{68} +(-3.80515 - 3.45419i) q^{69} +(11.4408 + 1.41435i) q^{70} +6.21100i q^{71} +(3.60081 + 7.68337i) q^{72} +(-8.92963 - 5.15552i) q^{73} +(-0.244290 - 0.489438i) q^{74} +(-7.60415 - 1.64854i) q^{75} +(-0.961791 - 2.26039i) q^{76} +(1.46435 + 2.94632i) q^{77} +(-14.2173 + 3.62200i) q^{78} +(-6.41425 - 11.1098i) q^{79} +(-11.8405 + 3.41742i) q^{80} +(2.91950 - 8.51331i) q^{81} +(0.809288 - 13.3265i) q^{82} -5.22882i q^{83} +(-8.45182 - 3.54496i) q^{84} -3.67159i q^{85} +(-11.7031 - 0.710702i) q^{86} +(-1.69085 - 5.27654i) q^{87} +(-2.67756 - 2.28084i) q^{88} +(6.94090 + 12.0220i) q^{89} +(11.5478 + 6.12444i) q^{90} +(8.76314 - 13.2035i) q^{91} +(-5.46040 + 2.32339i) q^{92} +(0.567765 - 2.61890i) q^{93} +(8.45876 - 4.22196i) q^{94} +(-3.27720 - 1.89209i) q^{95} +(9.79773 - 0.0670247i) q^{96} +17.1489i q^{97} +(9.33855 - 3.28504i) q^{98} +(0.359884 + 3.71328i) 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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0857242 + 1.41161i −0.0606162 + 0.998161i
\(3\) −0.528554 1.64943i −0.305161 0.952301i
\(4\) −1.98530 0.242019i −0.992651 0.121009i
\(5\) −2.66818 + 1.54047i −1.19325 + 0.688921i −0.959041 0.283266i \(-0.908582\pi\)
−0.234205 + 0.972187i \(0.575249\pi\)
\(6\) 2.37367 0.604718i 0.969047 0.246875i
\(7\) −1.46307 + 2.20441i −0.552987 + 0.833190i
\(8\) 0.511826 2.78173i 0.180958 0.983491i
\(9\) −2.44126 + 1.74363i −0.813753 + 0.581210i
\(10\) −1.94583 3.89849i −0.615324 1.23281i
\(11\) 0.621780 1.07696i 0.187474 0.324714i −0.756933 0.653492i \(-0.773303\pi\)
0.944407 + 0.328778i \(0.106637\pi\)
\(12\) 0.650147 + 3.40254i 0.187681 + 0.982230i
\(13\) −5.98957 −1.66121 −0.830604 0.556864i \(-0.812005\pi\)
−0.830604 + 0.556864i \(0.812005\pi\)
\(14\) −2.98636 2.25426i −0.798138 0.602475i
\(15\) 3.95119 + 3.58676i 1.02019 + 0.926098i
\(16\) 3.88285 + 0.960961i 0.970713 + 0.240240i
\(17\) −0.595854 + 1.03205i −0.144516 + 0.250309i −0.929192 0.369597i \(-0.879496\pi\)
0.784676 + 0.619906i \(0.212829\pi\)
\(18\) −2.25206 3.59559i −0.530815 0.847488i
\(19\) 0.614126 + 1.06370i 0.140890 + 0.244029i 0.927832 0.372998i \(-0.121670\pi\)
−0.786942 + 0.617027i \(0.788337\pi\)
\(20\) 5.66997 2.41256i 1.26784 0.539464i
\(21\) 4.40934 + 1.24808i 0.962197 + 0.272353i
\(22\) 1.46694 + 0.970035i 0.312753 + 0.206812i
\(23\) 2.56956 1.48354i 0.535791 0.309339i −0.207581 0.978218i \(-0.566559\pi\)
0.743371 + 0.668879i \(0.233226\pi\)
\(24\) −4.85881 + 0.626075i −0.991800 + 0.127797i
\(25\) 2.24612 3.89040i 0.449225 0.778080i
\(26\) 0.513451 8.45496i 0.100696 1.65815i
\(27\) 4.16634 + 3.10509i 0.801813 + 0.597575i
\(28\) 3.43814 4.02234i 0.649747 0.760150i
\(29\) 3.19900 0.594040 0.297020 0.954871i \(-0.404007\pi\)
0.297020 + 0.954871i \(0.404007\pi\)
\(30\) −5.40183 + 5.27008i −0.986235 + 0.962180i
\(31\) 1.33987 + 0.773574i 0.240648 + 0.138938i 0.615474 0.788157i \(-0.288964\pi\)
−0.374827 + 0.927095i \(0.622298\pi\)
\(32\) −1.68936 + 5.39871i −0.298640 + 0.954366i
\(33\) −2.10501 0.456356i −0.366435 0.0794414i
\(34\) −1.40578 0.929587i −0.241088 0.159423i
\(35\) 0.507883 8.13559i 0.0858478 1.37517i
\(36\) 5.26863 2.87080i 0.878105 0.478467i
\(37\) −0.334978 + 0.193399i −0.0550700 + 0.0317947i −0.527282 0.849690i \(-0.676789\pi\)
0.472212 + 0.881485i \(0.343456\pi\)
\(38\) −1.55417 + 0.775723i −0.252120 + 0.125839i
\(39\) 3.16581 + 9.87940i 0.506936 + 1.58197i
\(40\) 2.91955 + 8.21062i 0.461621 + 1.29821i
\(41\) −9.44060 −1.47437 −0.737187 0.675689i \(-0.763846\pi\)
−0.737187 + 0.675689i \(0.763846\pi\)
\(42\) −2.13979 + 6.11729i −0.330177 + 0.943919i
\(43\) 8.29057i 1.26430i 0.774846 + 0.632150i \(0.217827\pi\)
−0.774846 + 0.632150i \(0.782173\pi\)
\(44\) −1.49507 + 1.98760i −0.225390 + 0.299642i
\(45\) 3.82770 8.41302i 0.570600 1.25414i
\(46\) 1.87391 + 3.75440i 0.276292 + 0.553556i
\(47\) −3.34244 5.78928i −0.487546 0.844454i 0.512352 0.858776i \(-0.328774\pi\)
−0.999897 + 0.0143219i \(0.995441\pi\)
\(48\) −0.467258 6.91243i −0.0674429 0.997723i
\(49\) −2.71887 6.45041i −0.388410 0.921486i
\(50\) 5.29919 + 3.50416i 0.749419 + 0.495563i
\(51\) 2.01724 + 0.437327i 0.282470 + 0.0612380i
\(52\) 11.8911 + 1.44959i 1.64900 + 0.201022i
\(53\) −5.25317 + 9.09875i −0.721578 + 1.24981i 0.238789 + 0.971071i \(0.423250\pi\)
−0.960367 + 0.278738i \(0.910084\pi\)
\(54\) −4.74035 + 5.61508i −0.645079 + 0.764116i
\(55\) 3.83135i 0.516619i
\(56\) 5.38325 + 5.19813i 0.719367 + 0.694630i
\(57\) 1.42990 1.57518i 0.189395 0.208638i
\(58\) −0.274232 + 4.51576i −0.0360084 + 0.592948i
\(59\) 3.22898 + 1.86425i 0.420377 + 0.242705i 0.695238 0.718779i \(-0.255299\pi\)
−0.274862 + 0.961484i \(0.588632\pi\)
\(60\) −6.97624 8.07707i −0.900629 1.04274i
\(61\) 3.16493 + 5.48181i 0.405227 + 0.701874i 0.994348 0.106171i \(-0.0338590\pi\)
−0.589121 + 0.808045i \(0.700526\pi\)
\(62\) −1.20685 + 1.82506i −0.153270 + 0.231783i
\(63\) −0.271956 7.93259i −0.0342632 0.999413i
\(64\) −7.47607 2.84752i −0.934509 0.355940i
\(65\) 15.9813 9.22678i 1.98223 1.14444i
\(66\) 0.824648 2.93234i 0.101507 0.360946i
\(67\) −10.7324 6.19634i −1.31117 0.757003i −0.328878 0.944372i \(-0.606671\pi\)
−0.982290 + 0.187369i \(0.940004\pi\)
\(68\) 1.43273 1.90472i 0.173744 0.230982i
\(69\) −3.80515 3.45419i −0.458086 0.415836i
\(70\) 11.4408 + 1.41435i 1.36743 + 0.169047i
\(71\) 6.21100i 0.737110i 0.929606 + 0.368555i \(0.120147\pi\)
−0.929606 + 0.368555i \(0.879853\pi\)
\(72\) 3.60081 + 7.68337i 0.424360 + 0.905494i
\(73\) −8.92963 5.15552i −1.04513 0.603408i −0.123851 0.992301i \(-0.539524\pi\)
−0.921283 + 0.388893i \(0.872858\pi\)
\(74\) −0.244290 0.489438i −0.0283981 0.0568960i
\(75\) −7.60415 1.64854i −0.878052 0.190357i
\(76\) −0.961791 2.26039i −0.110325 0.259285i
\(77\) 1.46435 + 2.94632i 0.166878 + 0.335764i
\(78\) −14.2173 + 3.62200i −1.60979 + 0.410111i
\(79\) −6.41425 11.1098i −0.721660 1.24995i −0.960334 0.278852i \(-0.910046\pi\)
0.238674 0.971100i \(-0.423287\pi\)
\(80\) −11.8405 + 3.41742i −1.32381 + 0.382079i
\(81\) 2.91950 8.51331i 0.324389 0.945924i
\(82\) 0.809288 13.3265i 0.0893709 1.47166i
\(83\) 5.22882i 0.573938i −0.957940 0.286969i \(-0.907352\pi\)
0.957940 0.286969i \(-0.0926476\pi\)
\(84\) −8.45182 3.54496i −0.922169 0.386787i
\(85\) 3.67159i 0.398240i
\(86\) −11.7031 0.710702i −1.26197 0.0766370i
\(87\) −1.69085 5.27654i −0.181278 0.565705i
\(88\) −2.67756 2.28084i −0.285429 0.243138i
\(89\) 6.94090 + 12.0220i 0.735734 + 1.27433i 0.954400 + 0.298529i \(0.0964960\pi\)
−0.218666 + 0.975800i \(0.570171\pi\)
\(90\) 11.5478 + 6.12444i 1.21725 + 0.645572i
\(91\) 8.76314 13.2035i 0.918627 1.38410i
\(92\) −5.46040 + 2.32339i −0.569286 + 0.242230i
\(93\) 0.567765 2.61890i 0.0588745 0.271567i
\(94\) 8.45876 4.22196i 0.872454 0.435462i
\(95\) −3.27720 1.89209i −0.336233 0.194124i
\(96\) 9.79773 0.0670247i 0.999977 0.00684068i
\(97\) 17.1489i 1.74120i 0.491989 + 0.870601i \(0.336270\pi\)
−0.491989 + 0.870601i \(0.663730\pi\)
\(98\) 9.33855 3.28504i 0.943336 0.331839i
\(99\) 0.359884 + 3.71328i 0.0361697 + 0.373199i
\(100\) −5.40078 + 7.18002i −0.540078 + 0.718002i
\(101\) −2.87413 1.65938i −0.285986 0.165114i 0.350144 0.936696i \(-0.386133\pi\)
−0.636130 + 0.771582i \(0.719466\pi\)
\(102\) −0.790263 + 2.81007i −0.0782477 + 0.278238i
\(103\) 10.7667 6.21615i 1.06087 0.612496i 0.135200 0.990818i \(-0.456832\pi\)
0.925674 + 0.378322i \(0.123499\pi\)
\(104\) −3.06561 + 16.6614i −0.300608 + 1.63378i
\(105\) −13.6876 + 3.46238i −1.33577 + 0.337894i
\(106\) −12.3936 8.19542i −1.20377 0.796010i
\(107\) 4.79031 + 8.29706i 0.463097 + 0.802107i 0.999113 0.0421002i \(-0.0134049\pi\)
−0.536017 + 0.844207i \(0.680072\pi\)
\(108\) −7.51996 7.17288i −0.723608 0.690211i
\(109\) −0.510424 0.294693i −0.0488898 0.0282265i 0.475356 0.879794i \(-0.342319\pi\)
−0.524246 + 0.851567i \(0.675653\pi\)
\(110\) −5.40838 0.328439i −0.515669 0.0313155i
\(111\) 0.496053 + 0.450301i 0.0470833 + 0.0427407i
\(112\) −7.79923 + 7.15346i −0.736958 + 0.675939i
\(113\) 7.02041i 0.660425i 0.943907 + 0.330212i \(0.107120\pi\)
−0.943907 + 0.330212i \(0.892880\pi\)
\(114\) 2.10097 + 2.15349i 0.196774 + 0.201693i
\(115\) −4.57070 + 7.91669i −0.426220 + 0.738235i
\(116\) −6.35099 0.774219i −0.589675 0.0718845i
\(117\) 14.6221 10.4436i 1.35181 0.965511i
\(118\) −2.90840 + 4.39825i −0.267740 + 0.404892i
\(119\) −1.40329 2.82346i −0.128639 0.258827i
\(120\) 11.9997 9.15535i 1.09542 0.835766i
\(121\) 4.72678 + 8.18702i 0.429707 + 0.744275i
\(122\) −8.00951 + 3.99773i −0.725147 + 0.361937i
\(123\) 4.98987 + 15.5716i 0.449921 + 1.40405i
\(124\) −2.47283 1.86005i −0.222066 0.167038i
\(125\) 1.56436i 0.139921i
\(126\) 11.2211 + 0.296119i 0.999652 + 0.0263804i
\(127\) −5.88744 −0.522426 −0.261213 0.965281i \(-0.584123\pi\)
−0.261213 + 0.965281i \(0.584123\pi\)
\(128\) 4.66048 10.3092i 0.411932 0.911214i
\(129\) 13.6747 4.38201i 1.20399 0.385815i
\(130\) 11.6547 + 23.3503i 1.02218 + 2.04796i
\(131\) 3.67922 2.12420i 0.321455 0.185592i −0.330586 0.943776i \(-0.607246\pi\)
0.652041 + 0.758184i \(0.273913\pi\)
\(132\) 4.06864 + 1.41546i 0.354129 + 0.123200i
\(133\) −3.24333 0.202473i −0.281233 0.0175566i
\(134\) 9.66685 14.6188i 0.835089 1.26287i
\(135\) −15.8999 1.86680i −1.36844 0.160669i
\(136\) 2.56591 + 2.18574i 0.220025 + 0.187425i
\(137\) 0.674838 + 0.389618i 0.0576553 + 0.0332873i 0.528551 0.848902i \(-0.322736\pi\)
−0.470895 + 0.882189i \(0.656069\pi\)
\(138\) 5.20217 5.07529i 0.442838 0.432037i
\(139\) 5.54714 0.470502 0.235251 0.971935i \(-0.424409\pi\)
0.235251 + 0.971935i \(0.424409\pi\)
\(140\) −2.97727 + 16.0287i −0.251625 + 1.35467i
\(141\) −7.78237 + 8.57309i −0.655394 + 0.721984i
\(142\) −8.76752 0.532433i −0.735754 0.0446808i
\(143\) −3.72420 + 6.45050i −0.311433 + 0.539418i
\(144\) −11.1546 + 4.42431i −0.929552 + 0.368692i
\(145\) −8.53552 + 4.92798i −0.708836 + 0.409247i
\(146\) 8.04309 12.1632i 0.665651 1.00664i
\(147\) −9.20244 + 7.89399i −0.759005 + 0.651085i
\(148\) 0.711838 0.302886i 0.0585128 0.0248970i
\(149\) −2.07219 3.58914i −0.169761 0.294034i 0.768575 0.639760i \(-0.220966\pi\)
−0.938336 + 0.345726i \(0.887633\pi\)
\(150\) 2.97896 10.5928i 0.243231 0.864899i
\(151\) 2.16486 3.74965i 0.176174 0.305142i −0.764393 0.644751i \(-0.776961\pi\)
0.940567 + 0.339608i \(0.110295\pi\)
\(152\) 3.27325 1.16391i 0.265495 0.0944052i
\(153\) −0.344878 3.55845i −0.0278817 0.287684i
\(154\) −4.28459 + 1.81452i −0.345262 + 0.146218i
\(155\) −4.76668 −0.382869
\(156\) −3.89410 20.3798i −0.311777 1.63169i
\(157\) −3.21017 + 5.56018i −0.256200 + 0.443751i −0.965221 0.261437i \(-0.915804\pi\)
0.709021 + 0.705187i \(0.249137\pi\)
\(158\) 16.2326 8.10207i 1.29140 0.644566i
\(159\) 17.7844 + 3.85556i 1.41039 + 0.305766i
\(160\) −3.80906 17.0071i −0.301132 1.34453i
\(161\) −0.489111 + 7.83489i −0.0385473 + 0.617476i
\(162\) 11.7672 + 4.85101i 0.924521 + 0.381131i
\(163\) −9.18195 + 5.30120i −0.719186 + 0.415222i −0.814453 0.580230i \(-0.802963\pi\)
0.0952672 + 0.995452i \(0.469629\pi\)
\(164\) 18.7424 + 2.28480i 1.46354 + 0.178413i
\(165\) 6.31955 2.02508i 0.491977 0.157652i
\(166\) 7.38107 + 0.448237i 0.572882 + 0.0347899i
\(167\) −15.5718 −1.20498 −0.602492 0.798125i \(-0.705825\pi\)
−0.602492 + 0.798125i \(0.705825\pi\)
\(168\) 5.72863 11.6268i 0.441974 0.897028i
\(169\) 22.8750 1.75961
\(170\) 5.18287 + 0.314744i 0.397508 + 0.0241398i
\(171\) −3.35394 1.52595i −0.256482 0.116693i
\(172\) 2.00647 16.4593i 0.152992 1.25501i
\(173\) 1.61807 0.934192i 0.123019 0.0710253i −0.437228 0.899351i \(-0.644040\pi\)
0.560247 + 0.828326i \(0.310706\pi\)
\(174\) 7.59339 1.93450i 0.575653 0.146654i
\(175\) 5.28982 + 10.6433i 0.399873 + 0.804558i
\(176\) 3.44920 3.58415i 0.259993 0.270166i
\(177\) 1.36827 6.31134i 0.102845 0.474389i
\(178\) −17.5654 + 8.76729i −1.31658 + 0.657136i
\(179\) 7.73124 13.3909i 0.577860 1.00088i −0.417864 0.908509i \(-0.637221\pi\)
0.995724 0.0923734i \(-0.0294454\pi\)
\(180\) −9.63526 + 15.7760i −0.718170 + 1.17587i
\(181\) 16.6129 1.23483 0.617415 0.786638i \(-0.288180\pi\)
0.617415 + 0.786638i \(0.288180\pi\)
\(182\) 17.8870 + 13.5020i 1.32587 + 1.00084i
\(183\) 7.36905 8.11777i 0.544736 0.600083i
\(184\) −2.81164 7.90714i −0.207277 0.582922i
\(185\) 0.595854 1.03205i 0.0438081 0.0758778i
\(186\) 3.64820 + 1.02597i 0.267499 + 0.0752276i
\(187\) 0.740981 + 1.28342i 0.0541859 + 0.0938527i
\(188\) 5.23465 + 12.3024i 0.381776 + 0.897246i
\(189\) −12.9405 + 4.64138i −0.941286 + 0.337611i
\(190\) 2.95183 4.46393i 0.214149 0.323848i
\(191\) −0.391130 + 0.225819i −0.0283012 + 0.0163397i −0.514084 0.857740i \(-0.671868\pi\)
0.485783 + 0.874080i \(0.338535\pi\)
\(192\) −0.745290 + 13.8363i −0.0537867 + 0.998552i
\(193\) 0.859277 1.48831i 0.0618521 0.107131i −0.833441 0.552608i \(-0.813633\pi\)
0.895293 + 0.445477i \(0.146966\pi\)
\(194\) −24.2076 1.47007i −1.73800 0.105545i
\(195\) −23.6659 21.4832i −1.69475 1.53844i
\(196\) 3.83667 + 13.4640i 0.274048 + 0.961716i
\(197\) −16.4222 −1.17003 −0.585017 0.811021i \(-0.698912\pi\)
−0.585017 + 0.811021i \(0.698912\pi\)
\(198\) −5.27257 + 0.189699i −0.374705 + 0.0134813i
\(199\) 0.839396 + 0.484625i 0.0595032 + 0.0343542i 0.529456 0.848337i \(-0.322396\pi\)
−0.469953 + 0.882691i \(0.655729\pi\)
\(200\) −9.67243 8.23932i −0.683944 0.582608i
\(201\) −4.54780 + 20.9774i −0.320777 + 1.47963i
\(202\) 2.58878 3.91491i 0.182146 0.275452i
\(203\) −4.68036 + 7.05193i −0.328497 + 0.494948i
\(204\) −3.89899 1.35644i −0.272984 0.0949695i
\(205\) 25.1892 14.5430i 1.75929 1.01573i
\(206\) 7.85184 + 15.7313i 0.547063 + 1.09605i
\(207\) −3.68623 + 8.10207i −0.256211 + 0.563132i
\(208\) −23.2566 5.75575i −1.61256 0.399089i
\(209\) 1.52741 0.105653
\(210\) −3.71419 19.6183i −0.256303 1.35379i
\(211\) 9.99340i 0.687974i −0.938974 0.343987i \(-0.888222\pi\)
0.938974 0.343987i \(-0.111778\pi\)
\(212\) 12.6312 16.7924i 0.867514 1.15331i
\(213\) 10.2446 3.28285i 0.701950 0.224937i
\(214\) −12.1229 + 6.05081i −0.828703 + 0.413625i
\(215\) −12.7714 22.1207i −0.871003 1.50862i
\(216\) 10.7700 10.0004i 0.732804 0.680440i
\(217\) −3.66559 + 1.82184i −0.248837 + 0.123674i
\(218\) 0.459749 0.695259i 0.0311381 0.0470889i
\(219\) −3.78390 + 17.4538i −0.255692 + 1.17942i
\(220\) 0.927258 7.60639i 0.0625158 0.512822i
\(221\) 3.56891 6.18153i 0.240071 0.415815i
\(222\) −0.678175 + 0.661634i −0.0455161 + 0.0444060i
\(223\) 13.7534i 0.920996i 0.887661 + 0.460498i \(0.152329\pi\)
−0.887661 + 0.460498i \(0.847671\pi\)
\(224\) −9.42934 11.6227i −0.630024 0.776576i
\(225\) 1.30005 + 13.4139i 0.0866699 + 0.894259i
\(226\) −9.91010 0.601819i −0.659210 0.0400324i
\(227\) −4.13075 2.38489i −0.274167 0.158291i 0.356613 0.934252i \(-0.383932\pi\)
−0.630780 + 0.775962i \(0.717265\pi\)
\(228\) −3.22000 + 2.78115i −0.213250 + 0.184186i
\(229\) 0.743202 + 1.28726i 0.0491122 + 0.0850648i 0.889536 0.456864i \(-0.151027\pi\)
−0.840424 + 0.541929i \(0.817694\pi\)
\(230\) −10.7835 7.13071i −0.711042 0.470185i
\(231\) 4.08577 3.97263i 0.268824 0.261380i
\(232\) 1.63733 8.89877i 0.107496 0.584233i
\(233\) 2.00188 1.15579i 0.131148 0.0757182i −0.432991 0.901398i \(-0.642542\pi\)
0.564139 + 0.825680i \(0.309208\pi\)
\(234\) 13.4889 + 21.5360i 0.881794 + 1.40785i
\(235\) 17.8365 + 10.2979i 1.16352 + 0.671761i
\(236\) −5.95931 4.48257i −0.387918 0.291791i
\(237\) −14.9346 + 16.4520i −0.970108 + 1.06867i
\(238\) 4.10594 1.73886i 0.266148 0.112714i
\(239\) 21.6031i 1.39739i 0.715420 + 0.698695i \(0.246235\pi\)
−0.715420 + 0.698695i \(0.753765\pi\)
\(240\) 11.8951 + 17.7238i 0.767829 + 1.14407i
\(241\) 3.38489 + 1.95427i 0.218040 + 0.125885i 0.605042 0.796193i \(-0.293156\pi\)
−0.387002 + 0.922079i \(0.626489\pi\)
\(242\) −11.9621 + 5.97056i −0.768953 + 0.383802i
\(243\) −15.5853 0.315780i −0.999795 0.0202573i
\(244\) −4.95663 11.6490i −0.317316 0.745753i
\(245\) 17.1911 + 13.0225i 1.09830 + 0.831976i
\(246\) −22.4089 + 5.70890i −1.42874 + 0.363986i
\(247\) −3.67835 6.37109i −0.234048 0.405383i
\(248\) 2.83766 3.33122i 0.180191 0.211533i
\(249\) −8.62459 + 2.76372i −0.546561 + 0.175143i
\(250\) 2.20827 + 0.134104i 0.139664 + 0.00848147i
\(251\) 15.6528i 0.987995i 0.869463 + 0.493997i \(0.164465\pi\)
−0.869463 + 0.493997i \(0.835535\pi\)
\(252\) −1.37992 + 15.8144i −0.0869270 + 0.996215i
\(253\) 3.68974i 0.231972i
\(254\) 0.504696 8.31079i 0.0316675 0.521465i
\(255\) −6.05604 + 1.94064i −0.379244 + 0.121527i
\(256\) 14.1531 + 7.46255i 0.884569 + 0.466409i
\(257\) −6.53148 11.3128i −0.407422 0.705676i 0.587178 0.809458i \(-0.300239\pi\)
−0.994600 + 0.103782i \(0.966906\pi\)
\(258\) 5.01345 + 19.6791i 0.312124 + 1.22517i
\(259\) 0.0637623 1.02139i 0.00396200 0.0634658i
\(260\) −33.9607 + 14.4502i −2.10615 + 0.896163i
\(261\) −7.80960 + 5.57788i −0.483402 + 0.345262i
\(262\) 2.68315 + 5.37573i 0.165766 + 0.332114i
\(263\) 26.2857 + 15.1761i 1.62085 + 0.935796i 0.986694 + 0.162586i \(0.0519836\pi\)
0.634151 + 0.773209i \(0.281350\pi\)
\(264\) −2.34686 + 5.62200i −0.144439 + 0.346010i
\(265\) 32.3695i 1.98844i
\(266\) 0.563845 4.56098i 0.0345716 0.279651i
\(267\) 16.1608 17.8028i 0.989027 1.08952i
\(268\) 19.8074 + 14.8990i 1.20993 + 0.910104i
\(269\) −0.684713 0.395319i −0.0417477 0.0241030i 0.478981 0.877825i \(-0.341006\pi\)
−0.520729 + 0.853722i \(0.674340\pi\)
\(270\) 3.99821 22.2844i 0.243323 1.35619i
\(271\) −4.95134 + 2.85866i −0.300773 + 0.173651i −0.642790 0.766043i \(-0.722223\pi\)
0.342017 + 0.939694i \(0.388890\pi\)
\(272\) −3.30537 + 3.43470i −0.200418 + 0.208259i
\(273\) −26.4101 7.47545i −1.59841 0.452435i
\(274\) −0.607840 + 0.919211i −0.0367209 + 0.0555315i
\(275\) −2.79319 4.83795i −0.168436 0.291739i
\(276\) 6.71839 + 7.77853i 0.404400 + 0.468212i
\(277\) −15.4143 8.89945i −0.926156 0.534716i −0.0405619 0.999177i \(-0.512915\pi\)
−0.885594 + 0.464461i \(0.846248\pi\)
\(278\) −0.475524 + 7.83041i −0.0285200 + 0.469637i
\(279\) −4.61980 + 0.447742i −0.276580 + 0.0268056i
\(280\) −22.3711 5.57679i −1.33693 0.333277i
\(281\) 27.9140i 1.66521i −0.553866 0.832606i \(-0.686848\pi\)
0.553866 0.832606i \(-0.313152\pi\)
\(282\) −11.4347 11.7206i −0.680929 0.697953i
\(283\) 1.81190 3.13830i 0.107706 0.186552i −0.807134 0.590368i \(-0.798983\pi\)
0.914841 + 0.403815i \(0.132316\pi\)
\(284\) 1.50318 12.3307i 0.0891972 0.731693i
\(285\) −1.38870 + 6.40559i −0.0822595 + 0.379434i
\(286\) −8.78636 5.81009i −0.519548 0.343558i
\(287\) 13.8122 20.8110i 0.815309 1.22843i
\(288\) −5.28919 16.1253i −0.311668 0.950191i
\(289\) 7.78992 + 13.4925i 0.458230 + 0.793678i
\(290\) −6.22471 12.4713i −0.365527 0.732340i
\(291\) 28.2859 9.06411i 1.65815 0.531347i
\(292\) 16.4803 + 12.3964i 0.964435 + 0.725445i
\(293\) 9.77037i 0.570791i −0.958410 0.285396i \(-0.907875\pi\)
0.958410 0.285396i \(-0.0921250\pi\)
\(294\) −10.3544 13.6670i −0.603880 0.797075i
\(295\) −11.4873 −0.668817
\(296\) 0.366535 + 1.03081i 0.0213044 + 0.0599143i
\(297\) 5.93460 2.55628i 0.344360 0.148330i
\(298\) 5.24411 2.61746i 0.303783 0.151625i
\(299\) −15.3906 + 8.88575i −0.890059 + 0.513876i
\(300\) 14.6976 + 5.11320i 0.848564 + 0.295211i
\(301\) −18.2758 12.1296i −1.05340 0.699141i
\(302\) 5.10747 + 3.37738i 0.293902 + 0.194347i
\(303\) −1.21790 + 5.61775i −0.0699666 + 0.322731i
\(304\) 1.36239 + 4.72033i 0.0781383 + 0.270730i
\(305\) −16.8892 9.75098i −0.967072 0.558339i
\(306\) 5.05272 0.181789i 0.288845 0.0103922i
\(307\) 9.56907 0.546136 0.273068 0.961995i \(-0.411962\pi\)
0.273068 + 0.961995i \(0.411962\pi\)
\(308\) −2.19411 6.20373i −0.125021 0.353491i
\(309\) −15.9439 14.4734i −0.907018 0.823361i
\(310\) 0.408620 6.72871i 0.0232081 0.382165i
\(311\) 8.85168 15.3316i 0.501933 0.869373i −0.498065 0.867140i \(-0.665956\pi\)
0.999998 0.00223345i \(-0.000710930\pi\)
\(312\) 29.1022 3.74992i 1.64759 0.212297i
\(313\) −9.93451 + 5.73569i −0.561532 + 0.324200i −0.753760 0.657150i \(-0.771762\pi\)
0.192228 + 0.981350i \(0.438429\pi\)
\(314\) −7.57363 5.00816i −0.427405 0.282627i
\(315\) 12.9456 + 20.7466i 0.729401 + 1.16894i
\(316\) 10.0455 + 23.6087i 0.565101 + 1.32809i
\(317\) −1.15640 2.00294i −0.0649499 0.112497i 0.831722 0.555193i \(-0.187355\pi\)
−0.896672 + 0.442696i \(0.854022\pi\)
\(318\) −6.96711 + 24.7741i −0.390696 + 1.38926i
\(319\) 1.98908 3.44519i 0.111367 0.192893i
\(320\) 24.3340 3.91899i 1.36031 0.219078i
\(321\) 11.1535 12.2867i 0.622528 0.685779i
\(322\) −11.0179 1.36207i −0.614004 0.0759055i
\(323\) −1.46372 −0.0814434
\(324\) −7.85648 + 16.1949i −0.436471 + 0.899718i
\(325\) −13.4533 + 23.3018i −0.746256 + 1.29255i
\(326\) −6.69613 13.4158i −0.370864 0.743032i
\(327\) −0.216290 + 0.997672i −0.0119609 + 0.0551714i
\(328\) −4.83194 + 26.2612i −0.266799 + 1.45003i
\(329\) 17.6522 + 1.10198i 0.973197 + 0.0607540i
\(330\) 2.31688 + 9.09436i 0.127540 + 0.500628i
\(331\) 20.7165 11.9607i 1.13868 0.657418i 0.192578 0.981282i \(-0.438315\pi\)
0.946104 + 0.323863i \(0.104982\pi\)
\(332\) −1.26547 + 10.3808i −0.0694519 + 0.569720i
\(333\) 0.480551 1.05622i 0.0263340 0.0578803i
\(334\) 1.33488 21.9814i 0.0730415 1.20277i
\(335\) 38.1812 2.08606
\(336\) 15.9215 + 9.08331i 0.868588 + 0.495535i
\(337\) −25.6463 −1.39704 −0.698522 0.715589i \(-0.746159\pi\)
−0.698522 + 0.715589i \(0.746159\pi\)
\(338\) −1.96094 + 32.2906i −0.106661 + 1.75638i
\(339\) 11.5797 3.71067i 0.628923 0.201536i
\(340\) −0.888594 + 7.28922i −0.0481908 + 0.395313i
\(341\) 1.66621 0.961986i 0.0902303 0.0520945i
\(342\) 2.44157 4.60365i 0.132025 0.248937i
\(343\) 18.1972 + 3.44385i 0.982559 + 0.185950i
\(344\) 23.0621 + 4.24332i 1.24343 + 0.228785i
\(345\) 15.4739 + 3.35467i 0.833087 + 0.180609i
\(346\) 1.18001 + 2.36417i 0.0634377 + 0.127099i
\(347\) 0.473950 0.820906i 0.0254430 0.0440686i −0.853024 0.521872i \(-0.825234\pi\)
0.878467 + 0.477804i \(0.158567\pi\)
\(348\) 2.07982 + 10.8848i 0.111490 + 0.583484i
\(349\) 14.1965 0.759919 0.379960 0.925003i \(-0.375938\pi\)
0.379960 + 0.925003i \(0.375938\pi\)
\(350\) −15.4777 + 6.55479i −0.827317 + 0.350368i
\(351\) −24.9546 18.5982i −1.33198 0.992697i
\(352\) 4.76376 + 5.17618i 0.253909 + 0.275891i
\(353\) −7.75978 + 13.4403i −0.413011 + 0.715356i −0.995217 0.0976847i \(-0.968856\pi\)
0.582206 + 0.813041i \(0.302190\pi\)
\(354\) 8.79187 + 2.47250i 0.467283 + 0.131412i
\(355\) −9.56788 16.5721i −0.507810 0.879553i
\(356\) −10.8702 25.5471i −0.576122 1.35400i
\(357\) −3.91540 + 3.80699i −0.207225 + 0.201487i
\(358\) 18.2400 + 12.0614i 0.964015 + 0.637467i
\(359\) −12.2735 + 7.08613i −0.647772 + 0.373991i −0.787602 0.616184i \(-0.788678\pi\)
0.139830 + 0.990176i \(0.455344\pi\)
\(360\) −21.4437 14.9536i −1.13018 0.788126i
\(361\) 8.74570 15.1480i 0.460300 0.797263i
\(362\) −1.42413 + 23.4510i −0.0748507 + 1.23256i
\(363\) 11.0056 12.1238i 0.577643 0.636334i
\(364\) −20.5930 + 24.0921i −1.07937 + 1.26277i
\(365\) 31.7678 1.66280
\(366\) 10.8274 + 11.0981i 0.565960 + 0.580109i
\(367\) −11.5602 6.67430i −0.603439 0.348396i 0.166954 0.985965i \(-0.446607\pi\)
−0.770393 + 0.637569i \(0.779940\pi\)
\(368\) 11.4029 3.29111i 0.594415 0.171561i
\(369\) 23.0470 16.4609i 1.19978 0.856921i
\(370\) 1.40578 + 0.929587i 0.0730828 + 0.0483269i
\(371\) −12.3717 24.8922i −0.642305 1.29234i
\(372\) −1.76101 + 5.06190i −0.0913040 + 0.262447i
\(373\) −4.56967 + 2.63830i −0.236609 + 0.136606i −0.613617 0.789604i \(-0.710286\pi\)
0.377008 + 0.926210i \(0.376953\pi\)
\(374\) −1.87521 + 0.935958i −0.0969646 + 0.0483972i
\(375\) −2.58031 + 0.826851i −0.133247 + 0.0426984i
\(376\) −17.8150 + 6.33468i −0.918738 + 0.326686i
\(377\) −19.1607 −0.986824
\(378\) −5.44252 18.6649i −0.279933 0.960020i
\(379\) 15.3619i 0.789086i 0.918877 + 0.394543i \(0.129097\pi\)
−0.918877 + 0.394543i \(0.870903\pi\)
\(380\) 6.04830 + 4.54951i 0.310271 + 0.233385i
\(381\) 3.11183 + 9.71094i 0.159424 + 0.497507i
\(382\) −0.285240 0.571482i −0.0145941 0.0292396i
\(383\) −1.35424 2.34561i −0.0691983 0.119855i 0.829350 0.558729i \(-0.188711\pi\)
−0.898549 + 0.438874i \(0.855377\pi\)
\(384\) −19.4677 2.23817i −0.993456 0.114216i
\(385\) −8.44587 5.60552i −0.430442 0.285684i
\(386\) 2.02726 + 1.34055i 0.103185 + 0.0682323i
\(387\) −14.4557 20.2394i −0.734824 1.02883i
\(388\) 4.15035 34.0457i 0.210702 1.72841i
\(389\) −6.35306 + 11.0038i −0.322113 + 0.557916i −0.980924 0.194393i \(-0.937726\pi\)
0.658811 + 0.752308i \(0.271060\pi\)
\(390\) 32.3546 31.5655i 1.63834 1.59838i
\(391\) 3.53589i 0.178817i
\(392\) −19.3349 + 4.26170i −0.976559 + 0.215248i
\(393\) −5.44840 4.94588i −0.274835 0.249487i
\(394\) 1.40778 23.1818i 0.0709229 1.16788i
\(395\) 34.2288 + 19.7620i 1.72224 + 0.994334i
\(396\) 0.184206 7.45909i 0.00925668 0.374833i
\(397\) 11.9617 + 20.7184i 0.600343 + 1.03982i 0.992769 + 0.120041i \(0.0383026\pi\)
−0.392426 + 0.919784i \(0.628364\pi\)
\(398\) −0.756060 + 1.14336i −0.0378979 + 0.0573113i
\(399\) 1.38031 + 5.45668i 0.0691021 + 0.273176i
\(400\) 12.4599 12.9474i 0.622995 0.647371i
\(401\) −23.5968 + 13.6236i −1.17837 + 0.680331i −0.955636 0.294549i \(-0.904831\pi\)
−0.222731 + 0.974880i \(0.571497\pi\)
\(402\) −29.2222 8.21801i −1.45747 0.409877i
\(403\) −8.02524 4.63338i −0.399766 0.230805i
\(404\) 5.30441 + 3.98996i 0.263904 + 0.198508i
\(405\) 5.32478 + 27.2125i 0.264590 + 1.35220i
\(406\) −9.55337 7.21137i −0.474126 0.357894i
\(407\) 0.481008i 0.0238427i
\(408\) 2.24900 5.38758i 0.111342 0.266725i
\(409\) 6.82328 + 3.93942i 0.337390 + 0.194792i 0.659117 0.752040i \(-0.270930\pi\)
−0.321727 + 0.946832i \(0.604263\pi\)
\(410\) 18.3698 + 36.8041i 0.907218 + 1.81763i
\(411\) 0.285960 1.31903i 0.0141054 0.0650632i
\(412\) −22.8796 + 9.73520i −1.12720 + 0.479619i
\(413\) −8.83378 + 4.39047i −0.434682 + 0.216041i
\(414\) −11.1210 5.89807i −0.546566 0.289874i
\(415\) 8.05487 + 13.9514i 0.395398 + 0.684849i
\(416\) 10.1185 32.3359i 0.496102 1.58540i
\(417\) −2.93196 9.14963i −0.143579 0.448059i
\(418\) −0.130936 + 2.15611i −0.00640427 + 0.105459i
\(419\) 19.8589i 0.970173i 0.874466 + 0.485086i \(0.161212\pi\)
−0.874466 + 0.485086i \(0.838788\pi\)
\(420\) 28.0119 3.56123i 1.36684 0.173770i
\(421\) 16.6507i 0.811505i 0.913983 + 0.405753i \(0.132991\pi\)
−0.913983 + 0.405753i \(0.867009\pi\)
\(422\) 14.1068 + 0.856676i 0.686709 + 0.0417024i
\(423\) 18.2541 + 8.30516i 0.887547 + 0.403811i
\(424\) 22.6216 + 19.2699i 1.09860 + 0.935828i
\(425\) 2.67672 + 4.63622i 0.129840 + 0.224890i
\(426\) 3.75590 + 14.7429i 0.181974 + 0.714294i
\(427\) −16.7147 1.04345i −0.808880 0.0504962i
\(428\) −7.50217 17.6315i −0.362631 0.852252i
\(429\) 12.6081 + 2.73338i 0.608725 + 0.131969i
\(430\) 32.3207 16.1320i 1.55864 0.777954i
\(431\) −19.8541 11.4628i −0.956339 0.552142i −0.0612944 0.998120i \(-0.519523\pi\)
−0.895044 + 0.445977i \(0.852856\pi\)
\(432\) 13.1934 + 16.0603i 0.634769 + 0.772702i
\(433\) 10.5825i 0.508564i 0.967130 + 0.254282i \(0.0818392\pi\)
−0.967130 + 0.254282i \(0.918161\pi\)
\(434\) −2.25750 5.33058i −0.108363 0.255876i
\(435\) 12.6399 + 11.4741i 0.606035 + 0.550139i
\(436\) 0.942025 + 0.708588i 0.0451148 + 0.0339352i
\(437\) 3.15607 + 1.82216i 0.150975 + 0.0871656i
\(438\) −24.3136 6.83761i −1.16175 0.326714i
\(439\) −6.69332 + 3.86439i −0.319455 + 0.184437i −0.651150 0.758949i \(-0.725713\pi\)
0.331695 + 0.943387i \(0.392380\pi\)
\(440\) 10.6578 + 1.96098i 0.508090 + 0.0934861i
\(441\) 17.8846 + 11.0064i 0.851648 + 0.524115i
\(442\) 8.41999 + 5.56783i 0.400498 + 0.264834i
\(443\) −2.28548 3.95856i −0.108586 0.188077i 0.806611 0.591082i \(-0.201299\pi\)
−0.915198 + 0.403005i \(0.867966\pi\)
\(444\) −0.875835 1.01404i −0.0415653 0.0481241i
\(445\) −37.0392 21.3846i −1.75582 1.01373i
\(446\) −19.4145 1.17900i −0.919303 0.0558273i
\(447\) −4.82478 + 5.31500i −0.228204 + 0.251391i
\(448\) 17.2151 12.3142i 0.813337 0.581793i
\(449\) 4.33700i 0.204676i −0.994750 0.102338i \(-0.967368\pi\)
0.994750 0.102338i \(-0.0326323\pi\)
\(450\) −19.0467 + 0.685269i −0.897868 + 0.0323039i
\(451\) −5.86998 + 10.1671i −0.276406 + 0.478750i
\(452\) 1.69907 13.9376i 0.0799176 0.655572i
\(453\) −7.32905 1.58890i −0.344349 0.0746531i
\(454\) 3.72065 5.62658i 0.174619 0.264068i
\(455\) −3.04200 + 48.7287i −0.142611 + 2.28444i
\(456\) −3.64987 4.78381i −0.170921 0.224023i
\(457\) −9.88462 17.1207i −0.462383 0.800871i 0.536696 0.843776i \(-0.319672\pi\)
−0.999079 + 0.0429048i \(0.986339\pi\)
\(458\) −1.88083 + 0.938764i −0.0878853 + 0.0438656i
\(459\) −5.68714 + 2.44969i −0.265453 + 0.114342i
\(460\) 10.9902 14.6108i 0.512421 0.681233i
\(461\) 25.3326i 1.17986i −0.807455 0.589929i \(-0.799156\pi\)
0.807455 0.589929i \(-0.200844\pi\)
\(462\) 5.25757 + 6.10807i 0.244604 + 0.284173i
\(463\) 20.9574 0.973975 0.486988 0.873409i \(-0.338096\pi\)
0.486988 + 0.873409i \(0.338096\pi\)
\(464\) 12.4213 + 3.07412i 0.576643 + 0.142712i
\(465\) 2.51945 + 7.86233i 0.116837 + 0.364607i
\(466\) 1.45992 + 2.92497i 0.0676293 + 0.135496i
\(467\) 26.9170 15.5406i 1.24557 0.719131i 0.275348 0.961345i \(-0.411207\pi\)
0.970223 + 0.242214i \(0.0778735\pi\)
\(468\) −31.5568 + 17.1949i −1.45872 + 0.794834i
\(469\) 29.3615 14.5929i 1.35579 0.673839i
\(470\) −16.0657 + 24.2954i −0.741054 + 1.12066i
\(471\) 10.8679 + 2.35611i 0.500766 + 0.108564i
\(472\) 6.83852 8.02797i 0.314768 0.369517i
\(473\) 8.92857 + 5.15491i 0.410536 + 0.237023i
\(474\) −21.9436 22.4922i −1.00790 1.03310i
\(475\) 5.51761 0.253165
\(476\) 2.10262 + 5.94505i 0.0963735 + 0.272491i
\(477\) −3.04051 31.3720i −0.139216 1.43643i
\(478\) −30.4952 1.85191i −1.39482 0.0847044i
\(479\) −17.0894 + 29.5997i −0.780835 + 1.35245i 0.150620 + 0.988592i \(0.451873\pi\)
−0.931456 + 0.363855i \(0.881460\pi\)
\(480\) −26.0389 + 15.2720i −1.18851 + 0.697068i
\(481\) 2.00637 1.15838i 0.0914827 0.0528176i
\(482\) −3.04884 + 4.61063i −0.138871 + 0.210008i
\(483\) 13.1816 3.33441i 0.599786 0.151721i
\(484\) −7.40267 17.3977i −0.336485 0.790804i
\(485\) −26.4174 45.7562i −1.19955 2.07768i
\(486\) 1.78179 21.9733i 0.0808238 0.996728i
\(487\) −12.3371 + 21.3684i −0.559046 + 0.968296i 0.438531 + 0.898716i \(0.355499\pi\)
−0.997576 + 0.0695795i \(0.977834\pi\)
\(488\) 16.8688 5.99825i 0.763616 0.271528i
\(489\) 13.5971 + 12.3430i 0.614884 + 0.558171i
\(490\) −19.8564 + 23.1509i −0.897021 + 1.04585i
\(491\) −43.3064 −1.95439 −0.977196 0.212339i \(-0.931892\pi\)
−0.977196 + 0.212339i \(0.931892\pi\)
\(492\) −6.13777 32.1220i −0.276712 1.44817i
\(493\) −1.90614 + 3.30153i −0.0858482 + 0.148693i
\(494\) 9.30883 4.64625i 0.418824 0.209045i
\(495\) −6.68046 9.35332i −0.300264 0.420400i
\(496\) 4.45914 + 4.29124i 0.200221 + 0.192682i
\(497\) −13.6916 9.08710i −0.614152 0.407612i
\(498\) −3.16196 12.4115i −0.141691 0.556173i
\(499\) −32.3258 + 18.6633i −1.44710 + 0.835485i −0.998308 0.0581497i \(-0.981480\pi\)
−0.448795 + 0.893635i \(0.648147\pi\)
\(500\) −0.378605 + 3.10573i −0.0169317 + 0.138893i
\(501\) 8.23056 + 25.6847i 0.367714 + 1.14751i
\(502\) −22.0957 1.34182i −0.986178 0.0598885i
\(503\) 34.2432 1.52683 0.763414 0.645910i \(-0.223522\pi\)
0.763414 + 0.645910i \(0.223522\pi\)
\(504\) −22.2055 3.30360i −0.989114 0.147154i
\(505\) 10.2249 0.455003
\(506\) 5.20848 + 0.316300i 0.231545 + 0.0140612i
\(507\) −12.0907 37.7307i −0.536965 1.67568i
\(508\) 11.6884 + 1.42487i 0.518587 + 0.0632185i
\(509\) −24.1054 + 13.9173i −1.06845 + 0.616871i −0.927758 0.373182i \(-0.878267\pi\)
−0.140694 + 0.990053i \(0.544933\pi\)
\(510\) −2.22028 8.71515i −0.0983155 0.385913i
\(511\) 24.4295 12.1417i 1.08070 0.537118i
\(512\) −11.7475 + 19.3390i −0.519171 + 0.854671i
\(513\) −0.744220 + 6.33864i −0.0328581 + 0.279858i
\(514\) 16.5293 8.25013i 0.729075 0.363898i
\(515\) −19.1517 + 33.1716i −0.843923 + 1.46172i
\(516\) −28.2090 + 5.39008i −1.24183 + 0.237285i
\(517\) −8.31307 −0.365608
\(518\) 1.43634 + 0.177565i 0.0631089 + 0.00780177i
\(519\) −2.39612 2.17512i −0.105178 0.0954774i
\(520\) −17.4868 49.1781i −0.766848 2.15660i
\(521\) −8.13261 + 14.0861i −0.356296 + 0.617123i −0.987339 0.158625i \(-0.949294\pi\)
0.631043 + 0.775748i \(0.282627\pi\)
\(522\) −7.20434 11.5023i −0.315325 0.503442i
\(523\) 6.98922 + 12.1057i 0.305617 + 0.529345i 0.977399 0.211405i \(-0.0678038\pi\)
−0.671781 + 0.740750i \(0.734470\pi\)
\(524\) −7.81847 + 3.32674i −0.341551 + 0.145329i
\(525\) 14.7594 14.3508i 0.644155 0.626319i
\(526\) −23.6760 + 35.8043i −1.03232 + 1.56114i
\(527\) −1.59673 + 0.921874i −0.0695548 + 0.0401575i
\(528\) −7.73491 3.79480i −0.336619 0.165147i
\(529\) −7.09824 + 12.2945i −0.308619 + 0.534544i
\(530\) 45.6932 + 2.77485i 1.98478 + 0.120532i
\(531\) −11.1333 + 1.07902i −0.483145 + 0.0468255i
\(532\) 6.39000 + 1.18692i 0.277042 + 0.0514594i
\(533\) 56.5451 2.44924
\(534\) 23.7453 + 24.3390i 1.02756 + 1.05325i
\(535\) −25.5628 14.7587i −1.10518 0.638074i
\(536\) −22.7297 + 26.6831i −0.981771 + 1.15254i
\(537\) −26.1738 5.67434i −1.12948 0.244866i
\(538\) 0.616734 0.932661i 0.0265893 0.0402099i
\(539\) −8.63734 1.08263i −0.372037 0.0466322i
\(540\) 31.1142 + 7.55424i 1.33894 + 0.325083i
\(541\) −18.9287 + 10.9285i −0.813810 + 0.469853i −0.848277 0.529552i \(-0.822360\pi\)
0.0344673 + 0.999406i \(0.489027\pi\)
\(542\) −3.61087 7.23443i −0.155100 0.310746i
\(543\) −8.78084 27.4019i −0.376822 1.17593i
\(544\) −4.56512 4.96034i −0.195728 0.212673i
\(545\) 1.81587 0.0777834
\(546\) 12.8164 36.6400i 0.548492 1.56805i
\(547\) 9.11111i 0.389563i 0.980847 + 0.194782i \(0.0623998\pi\)
−0.980847 + 0.194782i \(0.937600\pi\)
\(548\) −1.24546 0.936833i −0.0532035 0.0400195i
\(549\) −17.2847 7.86407i −0.737692 0.335630i
\(550\) 7.06876 3.52818i 0.301413 0.150442i
\(551\) 1.96459 + 3.40277i 0.0836944 + 0.144963i
\(552\) −11.5562 + 8.81696i −0.491865 + 0.375275i
\(553\) 33.8751 + 2.11473i 1.44052 + 0.0899275i
\(554\) 13.8840 20.9961i 0.589873 0.892040i
\(555\) −2.01724 0.437327i −0.0856270 0.0185635i
\(556\) −11.0127 1.34251i −0.467044 0.0569352i
\(557\) 2.14436 3.71415i 0.0908596 0.157373i −0.817013 0.576619i \(-0.804372\pi\)
0.907873 + 0.419245i \(0.137705\pi\)
\(558\) −0.236010 6.55975i −0.00999108 0.277696i
\(559\) 49.6569i 2.10026i
\(560\) 9.79002 31.1012i 0.413704 1.31427i
\(561\) 1.72526 1.90055i 0.0728406 0.0802414i
\(562\) 39.4038 + 2.39291i 1.66215 + 0.100939i
\(563\) −27.2512 15.7335i −1.14850 0.663087i −0.199979 0.979800i \(-0.564087\pi\)
−0.948521 + 0.316713i \(0.897421\pi\)
\(564\) 17.5252 15.1367i 0.737945 0.637370i
\(565\) −10.8148 18.7317i −0.454981 0.788049i
\(566\) 4.27474 + 2.82673i 0.179681 + 0.118816i
\(567\) 14.4954 + 18.8913i 0.608751 + 0.793362i
\(568\) 17.2773 + 3.17895i 0.724941 + 0.133386i
\(569\) 8.62592 4.98018i 0.361617 0.208780i −0.308173 0.951330i \(-0.599717\pi\)
0.669790 + 0.742551i \(0.266384\pi\)
\(570\) −8.92317 2.50942i −0.373750 0.105108i
\(571\) −29.5465 17.0587i −1.23648 0.713883i −0.268108 0.963389i \(-0.586399\pi\)
−0.968373 + 0.249506i \(0.919732\pi\)
\(572\) 8.95480 11.9049i 0.374419 0.497768i
\(573\) 0.579206 + 0.525785i 0.0241967 + 0.0219650i
\(574\) 28.1930 + 21.2815i 1.17675 + 0.888273i
\(575\) 13.3288i 0.555851i
\(576\) 23.2161 6.08396i 0.967336 0.253498i
\(577\) 0.843668 + 0.487092i 0.0351224 + 0.0202779i 0.517458 0.855708i \(-0.326878\pi\)
−0.482336 + 0.875986i \(0.660212\pi\)
\(578\) −19.7140 + 9.83971i −0.819995 + 0.409278i
\(579\) −2.90905 0.630667i −0.120896 0.0262096i
\(580\) 18.1383 7.71779i 0.753150 0.320464i
\(581\) 11.5265 + 7.65011i 0.478199 + 0.317380i
\(582\) 10.3702 + 40.7058i 0.429860 + 1.68731i
\(583\) 6.53263 + 11.3149i 0.270554 + 0.468613i
\(584\) −18.9117 + 22.2011i −0.782571 + 0.918688i
\(585\) −22.9263 + 50.3904i −0.947886 + 2.08339i
\(586\) 13.7920 + 0.837557i 0.569741 + 0.0345992i
\(587\) 25.9212i 1.06988i 0.844890 + 0.534940i \(0.179666\pi\)
−0.844890 + 0.534940i \(0.820334\pi\)
\(588\) 20.1801 13.4448i 0.832214 0.554454i
\(589\) 1.90029i 0.0782999i
\(590\) 0.984741 16.2156i 0.0405412 0.667588i
\(591\) 8.68003 + 27.0873i 0.357049 + 1.11422i
\(592\) −1.48652 + 0.429041i −0.0610956 + 0.0176335i
\(593\) 22.1118 + 38.2987i 0.908022 + 1.57274i 0.816808 + 0.576909i \(0.195741\pi\)
0.0912135 + 0.995831i \(0.470925\pi\)
\(594\) 3.09974 + 8.59649i 0.127184 + 0.352718i
\(595\) 8.09370 + 5.37178i 0.331809 + 0.220222i
\(596\) 3.24529 + 7.62704i 0.132932 + 0.312416i
\(597\) 0.355691 1.64068i 0.0145575 0.0671485i
\(598\) −11.2239 22.4872i −0.458979 0.919572i
\(599\) −8.58632 4.95731i −0.350827 0.202550i 0.314222 0.949349i \(-0.398256\pi\)
−0.665050 + 0.746799i \(0.731590\pi\)
\(600\) −8.47780 + 20.3090i −0.346105 + 0.829110i
\(601\) 11.8235i 0.482292i −0.970489 0.241146i \(-0.922477\pi\)
0.970489 0.241146i \(-0.0775233\pi\)
\(602\) 18.6890 24.7586i 0.761709 1.00908i
\(603\) 37.0046 3.58642i 1.50695 0.146050i
\(604\) −5.20539 + 6.92025i −0.211804 + 0.281581i
\(605\) −25.2238 14.5630i −1.02549 0.592069i
\(606\) −7.82569 2.20078i −0.317897 0.0894007i
\(607\) 5.56281 3.21169i 0.225788 0.130359i −0.382840 0.923815i \(-0.625054\pi\)
0.608627 + 0.793456i \(0.291721\pi\)
\(608\) −6.78007 + 1.51852i −0.274968 + 0.0615841i
\(609\) 14.1055 + 3.99261i 0.571584 + 0.161789i
\(610\) 15.2124 23.0051i 0.615933 0.931449i
\(611\) 20.0198 + 34.6753i 0.809915 + 1.40281i
\(612\) −0.176525 + 7.14807i −0.00713559 + 0.288944i
\(613\) 17.5740 + 10.1463i 0.709805 + 0.409806i 0.810989 0.585061i \(-0.198930\pi\)
−0.101184 + 0.994868i \(0.532263\pi\)
\(614\) −0.820301 + 13.5078i −0.0331047 + 0.545131i
\(615\) −37.3016 33.8612i −1.50414 1.36541i
\(616\) 8.94536 2.56542i 0.360419 0.103364i
\(617\) 26.7202i 1.07571i −0.843036 0.537856i \(-0.819234\pi\)
0.843036 0.537856i \(-0.180766\pi\)
\(618\) 21.7976 21.2659i 0.876827 0.855441i
\(619\) −7.12358 + 12.3384i −0.286321 + 0.495922i −0.972929 0.231106i \(-0.925766\pi\)
0.686608 + 0.727028i \(0.259099\pi\)
\(620\) 9.46331 + 1.15363i 0.380056 + 0.0463308i
\(621\) 15.3122 + 1.79780i 0.614457 + 0.0721434i
\(622\) 20.8834 + 13.8094i 0.837350 + 0.553708i
\(623\) −36.6564 2.28836i −1.46861 0.0916813i
\(624\) 2.79867 + 41.4025i 0.112037 + 1.65743i
\(625\) 13.6405 + 23.6260i 0.545619 + 0.945040i
\(626\) −7.24495 14.5154i −0.289566 0.580151i
\(627\) −0.807317 2.51935i −0.0322411 0.100613i
\(628\) 7.71883 10.2617i 0.308015 0.409487i
\(629\) 0.460951i 0.0183793i
\(630\) −30.3960 + 16.4957i −1.21101 + 0.657203i
\(631\) −13.9775 −0.556436 −0.278218 0.960518i \(-0.589744\pi\)
−0.278218 + 0.960518i \(0.589744\pi\)
\(632\) −34.1875 + 12.1565i −1.35991 + 0.483558i
\(633\) −16.4834 + 5.28206i −0.655158 + 0.209943i
\(634\) 2.92651 1.46069i 0.116227 0.0580113i
\(635\) 15.7088 9.06945i 0.623383 0.359910i
\(636\) −34.3742 11.9586i −1.36303 0.474190i
\(637\) 16.2849 + 38.6352i 0.645231 + 1.53078i
\(638\) 4.69276 + 3.10315i 0.185788 + 0.122855i
\(639\) −10.8297 15.1627i −0.428416 0.599826i
\(640\) 3.44608 + 34.6862i 0.136218 + 1.37109i
\(641\) 6.31225 + 3.64438i 0.249319 + 0.143944i 0.619452 0.785034i \(-0.287355\pi\)
−0.370133 + 0.928979i \(0.620688\pi\)
\(642\) 16.3880 + 16.7977i 0.646783 + 0.662953i
\(643\) 25.1189 0.990594 0.495297 0.868724i \(-0.335059\pi\)
0.495297 + 0.868724i \(0.335059\pi\)
\(644\) 2.86722 15.4362i 0.112984 0.608273i
\(645\) −29.7363 + 32.7576i −1.17086 + 1.28983i
\(646\) 0.125476 2.06620i 0.00493679 0.0812936i
\(647\) 20.2246 35.0301i 0.795112 1.37717i −0.127657 0.991818i \(-0.540746\pi\)
0.922768 0.385355i \(-0.125921\pi\)
\(648\) −22.1875 12.4786i −0.871607 0.490206i
\(649\) 4.01543 2.31831i 0.157619 0.0910016i
\(650\) −31.7399 20.9884i −1.24494 0.823233i
\(651\) 4.94246 + 5.08321i 0.193710 + 0.199227i
\(652\) 19.5119 8.30228i 0.764146 0.325142i
\(653\) 22.0316 + 38.1599i 0.862164 + 1.49331i 0.869836 + 0.493341i \(0.164225\pi\)
−0.00767187 + 0.999971i \(0.502442\pi\)
\(654\) −1.38979 0.390843i −0.0543449 0.0152832i
\(655\) −6.54455 + 11.3355i −0.255717 + 0.442915i
\(656\) −36.6565 9.07205i −1.43119 0.354204i
\(657\) 30.7889 2.98400i 1.20119 0.116417i
\(658\) −3.06879 + 24.8236i −0.119634 + 0.967724i
\(659\) 5.89051 0.229462 0.114731 0.993397i \(-0.463399\pi\)
0.114731 + 0.993397i \(0.463399\pi\)
\(660\) −13.0363 + 2.49094i −0.507439 + 0.0969596i
\(661\) 21.0993 36.5450i 0.820667 1.42144i −0.0845192 0.996422i \(-0.526935\pi\)
0.905186 0.425015i \(-0.139731\pi\)
\(662\) 15.1079 + 30.2690i 0.587187 + 1.17644i
\(663\) −12.0824 2.61940i −0.469241 0.101729i
\(664\) −14.5452 2.67624i −0.564462 0.103858i
\(665\) 8.96570 4.45604i 0.347675 0.172798i
\(666\) 1.44977 + 0.768895i 0.0561776 + 0.0297941i
\(667\) 8.22004 4.74584i 0.318281 0.183760i
\(668\) 30.9148 + 3.76868i 1.19613 + 0.145814i
\(669\) 22.6853 7.26942i 0.877065 0.281052i
\(670\) −3.27305 + 53.8971i −0.126449 + 2.08223i
\(671\) 7.87156 0.303878
\(672\) −14.1870 + 21.6963i −0.547275 + 0.836953i
\(673\) −46.7729 −1.80296 −0.901481 0.432818i \(-0.857519\pi\)
−0.901481 + 0.432818i \(0.857519\pi\)
\(674\) 2.19851 36.2027i 0.0846834 1.39447i
\(675\) 21.4382 9.23431i 0.825155 0.355429i
\(676\) −45.4137 5.53617i −1.74668 0.212930i
\(677\) 35.7518 20.6413i 1.37405 0.793310i 0.382618 0.923907i \(-0.375023\pi\)
0.991436 + 0.130596i \(0.0416892\pi\)
\(678\) 4.24537 + 16.6641i 0.163042 + 0.639983i
\(679\) −37.8032 25.0899i −1.45075 0.962863i
\(680\) −10.2134 1.87921i −0.391665 0.0720646i
\(681\) −1.75039 + 8.07394i −0.0670751 + 0.309394i
\(682\) 1.21512 + 2.43451i 0.0465293 + 0.0932221i
\(683\) 17.1346 29.6781i 0.655638 1.13560i −0.326095 0.945337i \(-0.605733\pi\)
0.981733 0.190262i \(-0.0609338\pi\)
\(684\) 6.28927 + 3.84119i 0.240476 + 0.146872i
\(685\) −2.40079 −0.0917293
\(686\) −6.42133 + 25.3923i −0.245168 + 0.969481i
\(687\) 1.73043 1.90625i 0.0660201 0.0727280i
\(688\) −7.96691 + 32.1911i −0.303736 + 1.22727i
\(689\) 31.4642 54.4976i 1.19869 2.07619i
\(690\) −6.06198 + 21.5556i −0.230776 + 0.820608i
\(691\) −3.57575 6.19338i −0.136028 0.235607i 0.789962 0.613156i \(-0.210100\pi\)
−0.925990 + 0.377549i \(0.876767\pi\)
\(692\) −3.43845 + 1.46305i −0.130710 + 0.0556169i
\(693\) −8.71215 4.63945i −0.330947 0.176238i
\(694\) 1.11817 + 0.739406i 0.0424453 + 0.0280675i
\(695\) −14.8008 + 8.54522i −0.561425 + 0.324139i
\(696\) −15.5434 + 2.00282i −0.589169 + 0.0759166i
\(697\) 5.62522 9.74316i 0.213070 0.369048i
\(698\) −1.21698 + 20.0399i −0.0460634 + 0.758522i
\(699\) −2.96450 2.69108i −0.112128 0.101786i
\(700\) −7.92602 22.4104i −0.299575 0.847034i
\(701\) −12.4116 −0.468778 −0.234389 0.972143i \(-0.575309\pi\)
−0.234389 + 0.972143i \(0.575309\pi\)
\(702\) 28.3926 33.6319i 1.07161 1.26935i
\(703\) −0.411437 0.237543i −0.0155176 0.00895911i
\(704\) −7.71513 + 6.28086i −0.290775 + 0.236719i
\(705\) 7.55815 34.8631i 0.284656 1.31302i
\(706\) −18.3073 12.1060i −0.689006 0.455614i
\(707\) 7.86299 3.90798i 0.295718 0.146975i
\(708\) −4.24389 + 12.1988i −0.159495 + 0.458458i
\(709\) −30.5908 + 17.6616i −1.14886 + 0.663295i −0.948609 0.316450i \(-0.897509\pi\)
−0.200251 + 0.979745i \(0.564176\pi\)
\(710\) 24.2135 12.0855i 0.908718 0.453561i
\(711\) 35.0303 + 15.9379i 1.31374 + 0.597717i
\(712\) 36.9945 13.1546i 1.38643 0.492988i
\(713\) 4.59050 0.171916
\(714\) −5.03835 5.85338i −0.188555 0.219057i
\(715\) 22.9481i 0.858211i
\(716\) −18.5897 + 24.7139i −0.694730 + 0.923601i
\(717\) 35.6329 11.4184i 1.33073 0.426429i
\(718\) −8.95073 17.9329i −0.334038 0.669251i
\(719\) 12.1803 + 21.0969i 0.454250 + 0.786783i 0.998645 0.0520455i \(-0.0165741\pi\)
−0.544395 + 0.838829i \(0.683241\pi\)
\(720\) 22.9470 28.9882i 0.855184 1.08033i
\(721\) −2.04942 + 32.8289i −0.0763243 + 1.22261i
\(722\) 20.6334 + 13.6441i 0.767895 + 0.507781i
\(723\) 1.43434 6.61609i 0.0533435 0.246055i
\(724\) −32.9817 4.02064i −1.22576 0.149426i
\(725\) 7.18536 12.4454i 0.266858 0.462211i
\(726\) 16.1707 + 16.5749i 0.600149 + 0.615153i
\(727\) 5.15142i 0.191055i 0.995427 + 0.0955277i \(0.0304539\pi\)
−0.995427 + 0.0955277i \(0.969546\pi\)
\(728\) −32.2434 31.1346i −1.19502 1.15392i
\(729\) 7.71680 + 25.8738i 0.285807 + 0.958287i
\(730\) −2.72327 + 44.8438i −0.100793 + 1.65975i
\(731\) −8.55627 4.93997i −0.316465 0.182711i
\(732\) −16.5944 + 14.3328i −0.613348 + 0.529755i
\(733\) 3.74171 + 6.48083i 0.138203 + 0.239375i 0.926817 0.375514i \(-0.122534\pi\)
−0.788613 + 0.614889i \(0.789201\pi\)
\(734\) 10.4125 15.7464i 0.384333 0.581211i
\(735\) 12.3933 35.2387i 0.457133 1.29980i
\(736\) 3.66827 + 16.3785i 0.135214 + 0.603721i
\(737\) −13.3464 + 7.70552i −0.491619 + 0.283837i
\(738\) 21.2608 + 33.9445i 0.782619 + 1.24951i
\(739\) 2.26360 + 1.30689i 0.0832679 + 0.0480747i 0.541056 0.840987i \(-0.318025\pi\)
−0.457788 + 0.889061i \(0.651358\pi\)
\(740\) −1.43273 + 1.90472i −0.0526680 + 0.0700190i
\(741\) −8.56448 + 9.43466i −0.314624 + 0.346591i
\(742\) 36.1987 15.3302i 1.32890 0.562788i
\(743\) 23.6093i 0.866140i −0.901360 0.433070i \(-0.857430\pi\)
0.901360 0.433070i \(-0.142570\pi\)
\(744\) −6.99449 2.91979i −0.256430 0.107045i
\(745\) 11.0580 + 6.38431i 0.405132 + 0.233903i
\(746\) −3.33253 6.67677i −0.122012 0.244454i
\(747\) 9.11713 + 12.7649i 0.333578 + 0.467044i
\(748\) −1.16046 2.72730i −0.0424306 0.0997200i
\(749\) −25.2987 1.57933i −0.924394 0.0577074i
\(750\) −0.945998 3.71328i −0.0345430 0.135590i
\(751\) 0.504993 + 0.874673i 0.0184275 + 0.0319173i 0.875092 0.483956i \(-0.160801\pi\)
−0.856665 + 0.515874i \(0.827467\pi\)
\(752\) −7.41494 25.6909i −0.270395 0.936851i
\(753\) 25.8182 8.27335i 0.940868 0.301497i
\(754\) 1.64253 27.0474i 0.0598175 0.985010i
\(755\) 13.3397i 0.485480i
\(756\) 26.8142 6.08269i 0.975223 0.221225i
\(757\) 11.1837i 0.406478i −0.979129 0.203239i \(-0.934853\pi\)
0.979129 0.203239i \(-0.0651469\pi\)
\(758\) −21.6850 1.31688i −0.787635 0.0478314i
\(759\) −6.08598 + 1.95023i −0.220907 + 0.0707888i
\(760\) −6.94064 + 8.14786i −0.251763 + 0.295554i
\(761\) −3.99009 6.91104i −0.144641 0.250525i 0.784598 0.620005i \(-0.212869\pi\)
−0.929239 + 0.369480i \(0.879536\pi\)
\(762\) −13.9749 + 3.56024i −0.506256 + 0.128974i
\(763\) 1.39641 0.694029i 0.0505534 0.0251255i
\(764\) 0.831163 0.353658i 0.0300704 0.0127949i
\(765\) 6.40190 + 8.96331i 0.231461 + 0.324069i
\(766\) 3.42718 1.71058i 0.123829 0.0618059i
\(767\) −19.3402 11.1661i −0.698333 0.403183i
\(768\) 4.82828 27.2890i 0.174226 0.984706i
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