Properties

Label 177.2.e.a.4.3
Level $177$
Weight $2$
Character 177.4
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.a.133.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.247015 + 0.0268645i) q^{2} +(0.647386 - 0.762162i) q^{3} +(-1.89295 - 0.416669i) q^{4} +(-2.60143 - 1.97756i) q^{5} +(0.180389 - 0.170874i) q^{6} +(0.505225 - 1.26802i) q^{7} +(-0.927322 - 0.312451i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(0.247015 + 0.0268645i) q^{2} +(0.647386 - 0.762162i) q^{3} +(-1.89295 - 0.416669i) q^{4} +(-2.60143 - 1.97756i) q^{5} +(0.180389 - 0.170874i) q^{6} +(0.505225 - 1.26802i) q^{7} +(-0.927322 - 0.312451i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(-0.589467 - 0.558372i) q^{10} +(0.272923 - 0.126267i) q^{11} +(-1.54304 + 1.17299i) q^{12} +(0.501045 - 3.05624i) q^{13} +(0.158863 - 0.299647i) q^{14} +(-3.19135 + 0.702470i) q^{15} +(3.29757 + 1.52562i) q^{16} +(-0.182367 - 0.457707i) q^{17} +(-0.0134520 - 0.248107i) q^{18} +(3.88962 + 5.73677i) q^{19} +(4.10039 + 4.82735i) q^{20} +(-0.639360 - 1.20596i) q^{21} +(0.0708080 - 0.0238580i) q^{22} +(0.233982 - 4.31554i) q^{23} +(-0.838474 + 0.504493i) q^{24} +(1.51908 + 5.47122i) q^{25} +(0.205870 - 0.741476i) q^{26} +(-0.856857 - 0.515554i) q^{27} +(-1.48471 + 2.18978i) q^{28} +(-4.09825 + 0.445711i) q^{29} +(-0.807183 + 0.0877864i) q^{30} +(3.49687 - 5.15750i) q^{31} +(2.45051 + 1.47442i) q^{32} +(0.0804501 - 0.289755i) q^{33} +(-0.0327513 - 0.117960i) q^{34} +(-3.82189 + 2.29955i) q^{35} +(-0.104935 + 1.93542i) q^{36} +(4.02986 - 1.35782i) q^{37} +(0.806680 + 1.52156i) q^{38} +(-2.00498 - 2.36044i) q^{39} +(1.79448 + 2.64665i) q^{40} +(-0.372998 - 6.87955i) q^{41} +(-0.125534 - 0.315066i) q^{42} +(1.23791 + 0.572717i) q^{43} +(-0.569240 + 0.125299i) q^{44} +(-1.53064 + 2.88710i) q^{45} +(0.173732 - 1.05972i) q^{46} +(-7.70904 + 5.86026i) q^{47} +(3.29757 - 1.52562i) q^{48} +(3.72935 + 3.53263i) q^{49} +(0.228253 + 1.39228i) q^{50} +(-0.466909 - 0.157320i) q^{51} +(-2.22189 + 5.57652i) q^{52} +(1.03901 - 0.984202i) q^{53} +(-0.197806 - 0.150368i) q^{54} +(-0.959691 - 0.211244i) q^{55} +(-0.864699 + 1.01800i) q^{56} +(6.89044 + 0.749380i) q^{57} -1.02430 q^{58} +(4.65329 + 6.11121i) q^{59} +6.33376 q^{60} +(9.23251 + 1.00410i) q^{61} +(1.00233 - 1.18004i) q^{62} +(-1.33305 - 0.293427i) q^{63} +(-5.21932 - 3.96762i) q^{64} +(-7.34732 + 6.95975i) q^{65} +(0.0276565 - 0.0694125i) q^{66} +(-12.5200 - 4.21849i) q^{67} +(0.154499 + 0.942402i) q^{68} +(-3.13766 - 2.97215i) q^{69} +(-1.00584 + 0.465351i) q^{70} +(9.31919 - 7.08427i) q^{71} +(-0.158311 + 0.965655i) q^{72} +(-3.53432 + 6.66644i) q^{73} +(1.03191 - 0.227141i) q^{74} +(5.15339 + 2.38421i) q^{75} +(-4.97252 - 12.4801i) q^{76} +(-0.0222222 - 0.409864i) q^{77} +(-0.431847 - 0.636927i) q^{78} +(-6.43059 - 7.57067i) q^{79} +(-5.56141 - 10.4899i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(0.0926794 - 1.70937i) q^{82} +(12.6733 - 7.62524i) q^{83} +(0.707787 + 2.54922i) q^{84} +(-0.430727 + 1.55134i) q^{85} +(0.290396 + 0.174725i) q^{86} +(-2.31344 + 3.41207i) q^{87} +(-0.292539 + 0.0318156i) q^{88} +(-6.10064 + 0.663484i) q^{89} +(-0.455652 + 0.672036i) q^{90} +(-3.62222 - 2.17942i) q^{91} +(-2.24107 + 8.07159i) q^{92} +(-1.66702 - 6.00407i) q^{93} +(-2.06168 + 1.24047i) q^{94} +(1.22619 - 22.6158i) q^{95} +(2.71018 - 0.913165i) q^{96} +(-5.00393 - 9.43842i) q^{97} +(0.826303 + 0.972799i) q^{98} +(-0.168758 - 0.248899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.247015 + 0.0268645i 0.174666 + 0.0189961i 0.195034 0.980796i \(-0.437518\pi\)
−0.0203681 + 0.999793i \(0.506484\pi\)
\(3\) 0.647386 0.762162i 0.373769 0.440034i
\(4\) −1.89295 0.416669i −0.946473 0.208335i
\(5\) −2.60143 1.97756i −1.16340 0.884391i −0.168541 0.985695i \(-0.553906\pi\)
−0.994856 + 0.101304i \(0.967699\pi\)
\(6\) 0.180389 0.170874i 0.0736435 0.0697589i
\(7\) 0.505225 1.26802i 0.190957 0.479266i −0.802059 0.597245i \(-0.796262\pi\)
0.993016 + 0.117979i \(0.0376415\pi\)
\(8\) −0.927322 0.312451i −0.327858 0.110468i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) −0.589467 0.558372i −0.186406 0.176573i
\(11\) 0.272923 0.126267i 0.0822893 0.0380711i −0.378313 0.925678i \(-0.623496\pi\)
0.460602 + 0.887607i \(0.347634\pi\)
\(12\) −1.54304 + 1.17299i −0.445436 + 0.338612i
\(13\) 0.501045 3.05624i 0.138965 0.847648i −0.821697 0.569925i \(-0.806972\pi\)
0.960661 0.277722i \(-0.0895796\pi\)
\(14\) 0.158863 0.299647i 0.0424578 0.0800839i
\(15\) −3.19135 + 0.702470i −0.824004 + 0.181377i
\(16\) 3.29757 + 1.52562i 0.824392 + 0.381405i
\(17\) −0.182367 0.457707i −0.0442306 0.111010i 0.905202 0.424982i \(-0.139720\pi\)
−0.949432 + 0.313972i \(0.898340\pi\)
\(18\) −0.0134520 0.248107i −0.00317066 0.0584794i
\(19\) 3.88962 + 5.73677i 0.892341 + 1.31610i 0.948203 + 0.317666i \(0.102899\pi\)
−0.0558615 + 0.998439i \(0.517791\pi\)
\(20\) 4.10039 + 4.82735i 0.916874 + 1.07943i
\(21\) −0.639360 1.20596i −0.139520 0.263162i
\(22\) 0.0708080 0.0238580i 0.0150963 0.00508654i
\(23\) 0.233982 4.31554i 0.0487886 0.899852i −0.867029 0.498258i \(-0.833973\pi\)
0.915818 0.401594i \(-0.131544\pi\)
\(24\) −0.838474 + 0.504493i −0.171153 + 0.102979i
\(25\) 1.51908 + 5.47122i 0.303815 + 1.09424i
\(26\) 0.205870 0.741476i 0.0403744 0.145415i
\(27\) −0.856857 0.515554i −0.164902 0.0992184i
\(28\) −1.48471 + 2.18978i −0.280583 + 0.413829i
\(29\) −4.09825 + 0.445711i −0.761025 + 0.0827665i −0.480398 0.877050i \(-0.659508\pi\)
−0.280627 + 0.959817i \(0.590542\pi\)
\(30\) −0.807183 + 0.0877864i −0.147371 + 0.0160275i
\(31\) 3.49687 5.15750i 0.628056 0.926314i −0.371942 0.928256i \(-0.621308\pi\)
0.999998 + 0.00194229i \(0.000618251\pi\)
\(32\) 2.45051 + 1.47442i 0.433193 + 0.260644i
\(33\) 0.0804501 0.289755i 0.0140046 0.0504399i
\(34\) −0.0327513 0.117960i −0.00561681 0.0202299i
\(35\) −3.82189 + 2.29955i −0.646017 + 0.388695i
\(36\) −0.104935 + 1.93542i −0.0174892 + 0.322570i
\(37\) 4.02986 1.35782i 0.662505 0.223224i 0.0320935 0.999485i \(-0.489783\pi\)
0.630412 + 0.776261i \(0.282886\pi\)
\(38\) 0.806680 + 1.52156i 0.130861 + 0.246830i
\(39\) −2.00498 2.36044i −0.321054 0.377973i
\(40\) 1.79448 + 2.64665i 0.283731 + 0.418473i
\(41\) −0.372998 6.87955i −0.0582525 1.07440i −0.870840 0.491566i \(-0.836425\pi\)
0.812588 0.582839i \(-0.198058\pi\)
\(42\) −0.125534 0.315066i −0.0193703 0.0486158i
\(43\) 1.23791 + 0.572717i 0.188779 + 0.0873386i 0.512002 0.858984i \(-0.328904\pi\)
−0.323222 + 0.946323i \(0.604766\pi\)
\(44\) −0.569240 + 0.125299i −0.0858161 + 0.0188896i
\(45\) −1.53064 + 2.88710i −0.228175 + 0.430383i
\(46\) 0.173732 1.05972i 0.0256153 0.156247i
\(47\) −7.70904 + 5.86026i −1.12448 + 0.854807i −0.990681 0.136202i \(-0.956510\pi\)
−0.133798 + 0.991009i \(0.542717\pi\)
\(48\) 3.29757 1.52562i 0.475963 0.220204i
\(49\) 3.72935 + 3.53263i 0.532764 + 0.504661i
\(50\) 0.228253 + 1.39228i 0.0322799 + 0.196898i
\(51\) −0.466909 0.157320i −0.0653804 0.0220292i
\(52\) −2.22189 + 5.57652i −0.308121 + 0.773325i
\(53\) 1.03901 0.984202i 0.142719 0.135191i −0.613010 0.790075i \(-0.710041\pi\)
0.755729 + 0.654885i \(0.227283\pi\)
\(54\) −0.197806 0.150368i −0.0269180 0.0204626i
\(55\) −0.959691 0.211244i −0.129405 0.0284841i
\(56\) −0.864699 + 1.01800i −0.115550 + 0.136036i
\(57\) 6.89044 + 0.749380i 0.912661 + 0.0992578i
\(58\) −1.02430 −0.134497
\(59\) 4.65329 + 6.11121i 0.605807 + 0.795612i
\(60\) 6.33376 0.817684
\(61\) 9.23251 + 1.00410i 1.18210 + 0.128561i 0.677986 0.735075i \(-0.262853\pi\)
0.504116 + 0.863636i \(0.331819\pi\)
\(62\) 1.00233 1.18004i 0.127296 0.149865i
\(63\) −1.33305 0.293427i −0.167949 0.0369683i
\(64\) −5.21932 3.96762i −0.652415 0.495953i
\(65\) −7.34732 + 6.95975i −0.911323 + 0.863251i
\(66\) 0.0276565 0.0694125i 0.00340428 0.00854409i
\(67\) −12.5200 4.21849i −1.52957 0.515371i −0.576232 0.817286i \(-0.695478\pi\)
−0.953335 + 0.301915i \(0.902374\pi\)
\(68\) 0.154499 + 0.942402i 0.0187358 + 0.114283i
\(69\) −3.13766 2.97215i −0.377730 0.357805i
\(70\) −1.00584 + 0.465351i −0.120221 + 0.0556201i
\(71\) 9.31919 7.08427i 1.10598 0.840748i 0.117652 0.993055i \(-0.462463\pi\)
0.988333 + 0.152307i \(0.0486703\pi\)
\(72\) −0.158311 + 0.965655i −0.0186571 + 0.113803i
\(73\) −3.53432 + 6.66644i −0.413661 + 0.780247i −0.999545 0.0301472i \(-0.990402\pi\)
0.585884 + 0.810395i \(0.300747\pi\)
\(74\) 1.03191 0.227141i 0.119957 0.0264046i
\(75\) 5.15339 + 2.38421i 0.595062 + 0.275305i
\(76\) −4.97252 12.4801i −0.570387 1.43156i
\(77\) −0.0222222 0.409864i −0.00253245 0.0467084i
\(78\) −0.431847 0.636927i −0.0488971 0.0721178i
\(79\) −6.43059 7.57067i −0.723498 0.851767i 0.270323 0.962770i \(-0.412870\pi\)
−0.993820 + 0.111003i \(0.964594\pi\)
\(80\) −5.56141 10.4899i −0.621784 1.17281i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) 0.0926794 1.70937i 0.0102347 0.188768i
\(83\) 12.6733 7.62524i 1.39107 0.836979i 0.394434 0.918924i \(-0.370941\pi\)
0.996637 + 0.0819451i \(0.0261132\pi\)
\(84\) 0.707787 + 2.54922i 0.0772259 + 0.278143i
\(85\) −0.430727 + 1.55134i −0.0467189 + 0.168266i
\(86\) 0.290396 + 0.174725i 0.0313142 + 0.0188411i
\(87\) −2.31344 + 3.41207i −0.248027 + 0.365813i
\(88\) −0.292539 + 0.0318156i −0.0311848 + 0.00339155i
\(89\) −6.10064 + 0.663484i −0.646666 + 0.0703292i −0.425574 0.904924i \(-0.639928\pi\)
−0.221092 + 0.975253i \(0.570962\pi\)
\(90\) −0.455652 + 0.672036i −0.0480299 + 0.0708388i
\(91\) −3.62222 2.17942i −0.379712 0.228465i
\(92\) −2.24107 + 8.07159i −0.233647 + 0.841521i
\(93\) −1.66702 6.00407i −0.172862 0.622593i
\(94\) −2.06168 + 1.24047i −0.212646 + 0.127945i
\(95\) 1.22619 22.6158i 0.125805 2.32033i
\(96\) 2.71018 0.913165i 0.276606 0.0931995i
\(97\) −5.00393 9.43842i −0.508072 0.958326i −0.996327 0.0856251i \(-0.972711\pi\)
0.488255 0.872701i \(-0.337634\pi\)
\(98\) 0.826303 + 0.972799i 0.0834692 + 0.0982675i
\(99\) −0.168758 0.248899i −0.0169608 0.0250153i
\(100\) −0.595843 10.9897i −0.0595843 1.09897i
\(101\) 7.14424 + 17.9307i 0.710879 + 1.78417i 0.614632 + 0.788814i \(0.289304\pi\)
0.0962463 + 0.995358i \(0.469316\pi\)
\(102\) −0.111107 0.0514036i −0.0110012 0.00508972i
\(103\) 5.44236 1.19795i 0.536251 0.118038i 0.0614155 0.998112i \(-0.480439\pi\)
0.474836 + 0.880074i \(0.342507\pi\)
\(104\) −1.41955 + 2.67756i −0.139199 + 0.262557i
\(105\) −0.721605 + 4.40160i −0.0704215 + 0.429552i
\(106\) 0.283091 0.215200i 0.0274962 0.0209021i
\(107\) 10.0892 4.66774i 0.975355 0.451248i 0.133558 0.991041i \(-0.457360\pi\)
0.841797 + 0.539793i \(0.181498\pi\)
\(108\) 1.40717 + 1.33294i 0.135405 + 0.128262i
\(109\) 1.87785 + 11.4544i 0.179865 + 1.09713i 0.910240 + 0.414082i \(0.135897\pi\)
−0.730374 + 0.683047i \(0.760654\pi\)
\(110\) −0.231383 0.0779620i −0.0220615 0.00743339i
\(111\) 1.57400 3.95044i 0.149397 0.374959i
\(112\) 3.60052 3.41060i 0.340218 0.322271i
\(113\) −8.02664 6.10169i −0.755082 0.573999i 0.155251 0.987875i \(-0.450381\pi\)
−0.910333 + 0.413876i \(0.864175\pi\)
\(114\) 1.68191 + 0.370216i 0.157525 + 0.0346739i
\(115\) −9.14292 + 10.7639i −0.852581 + 1.00374i
\(116\) 7.94347 + 0.863905i 0.737533 + 0.0802116i
\(117\) −3.09704 −0.286321
\(118\) 0.985257 + 1.63457i 0.0907002 + 0.150474i
\(119\) −0.672517 −0.0616496
\(120\) 3.17890 + 0.345726i 0.290192 + 0.0315603i
\(121\) −7.06271 + 8.31486i −0.642064 + 0.755896i
\(122\) 2.25359 + 0.496053i 0.204031 + 0.0449105i
\(123\) −5.48480 4.16944i −0.494548 0.375946i
\(124\) −8.76836 + 8.30583i −0.787422 + 0.745885i
\(125\) 0.820287 2.05876i 0.0733687 0.184141i
\(126\) −0.321400 0.108292i −0.0286326 0.00964745i
\(127\) −1.79053 10.9218i −0.158884 0.969151i −0.939101 0.343641i \(-0.888340\pi\)
0.780217 0.625509i \(-0.215109\pi\)
\(128\) −5.33519 5.05376i −0.471568 0.446693i
\(129\) 1.23791 0.572717i 0.108992 0.0504250i
\(130\) −2.00187 + 1.52178i −0.175575 + 0.133469i
\(131\) −1.53849 + 9.38438i −0.134419 + 0.819917i 0.830432 + 0.557120i \(0.188093\pi\)
−0.964851 + 0.262798i \(0.915355\pi\)
\(132\) −0.273020 + 0.514970i −0.0237633 + 0.0448224i
\(133\) 9.23946 2.03376i 0.801163 0.176349i
\(134\) −2.97931 1.37838i −0.257373 0.119073i
\(135\) 1.20952 + 3.03566i 0.104099 + 0.261268i
\(136\) 0.0261020 + 0.481423i 0.00223823 + 0.0412817i
\(137\) 9.22228 + 13.6018i 0.787913 + 1.16208i 0.983413 + 0.181381i \(0.0580566\pi\)
−0.195500 + 0.980704i \(0.562633\pi\)
\(138\) −0.695204 0.818457i −0.0591797 0.0696717i
\(139\) −4.07515 7.68655i −0.345650 0.651965i 0.648350 0.761342i \(-0.275459\pi\)
−0.994000 + 0.109377i \(0.965114\pi\)
\(140\) 8.19278 2.76047i 0.692416 0.233302i
\(141\) −0.524259 + 9.66939i −0.0441506 + 0.814310i
\(142\) 2.49229 1.49956i 0.209149 0.125841i
\(143\) −0.249157 0.897382i −0.0208355 0.0750428i
\(144\) 0.972033 3.50095i 0.0810028 0.291746i
\(145\) 11.5427 + 6.94503i 0.958572 + 0.576754i
\(146\) −1.05212 + 1.55176i −0.0870741 + 0.128425i
\(147\) 5.10677 0.555394i 0.421199 0.0458081i
\(148\) −8.19408 + 0.891159i −0.673549 + 0.0732529i
\(149\) −6.15787 + 9.08218i −0.504472 + 0.744041i −0.991607 0.129286i \(-0.958732\pi\)
0.487135 + 0.873327i \(0.338042\pi\)
\(150\) 1.20891 + 0.727379i 0.0987073 + 0.0593902i
\(151\) 3.50286 12.6162i 0.285059 1.02669i −0.672888 0.739744i \(-0.734947\pi\)
0.957947 0.286945i \(-0.0926396\pi\)
\(152\) −1.81447 6.53515i −0.147173 0.530070i
\(153\) −0.422174 + 0.254014i −0.0341307 + 0.0205358i
\(154\) 0.00552158 0.101840i 0.000444941 0.00820646i
\(155\) −19.2961 + 6.50162i −1.54990 + 0.522223i
\(156\) 2.81179 + 5.30361i 0.225124 + 0.424628i
\(157\) 5.96196 + 7.01896i 0.475816 + 0.560174i 0.946740 0.322000i \(-0.104355\pi\)
−0.470924 + 0.882174i \(0.656079\pi\)
\(158\) −1.38507 2.04282i −0.110190 0.162518i
\(159\) −0.0774810 1.42905i −0.00614464 0.113331i
\(160\) −3.45908 8.68164i −0.273464 0.686344i
\(161\) −5.35397 2.47701i −0.421952 0.195216i
\(162\) −0.242662 + 0.0534140i −0.0190653 + 0.00419660i
\(163\) −6.56354 + 12.3802i −0.514096 + 0.969689i 0.481545 + 0.876421i \(0.340076\pi\)
−0.995641 + 0.0932671i \(0.970269\pi\)
\(164\) −2.16043 + 13.1780i −0.168701 + 1.02903i
\(165\) −0.782293 + 0.594684i −0.0609014 + 0.0462961i
\(166\) 3.33533 1.54309i 0.258872 0.119767i
\(167\) 12.8661 + 12.1875i 0.995612 + 0.943094i 0.998380 0.0569024i \(-0.0181224\pi\)
−0.00276774 + 0.999996i \(0.500881\pi\)
\(168\) 0.216089 + 1.31808i 0.0166716 + 0.101692i
\(169\) 3.22995 + 1.08830i 0.248458 + 0.0837151i
\(170\) −0.148072 + 0.371632i −0.0113566 + 0.0285029i
\(171\) 5.03192 4.76649i 0.384801 0.364503i
\(172\) −2.10466 1.59992i −0.160479 0.121993i
\(173\) 16.7149 + 3.67923i 1.27081 + 0.279727i 0.798655 0.601789i \(-0.205545\pi\)
0.472155 + 0.881515i \(0.343476\pi\)
\(174\) −0.663119 + 0.780684i −0.0502709 + 0.0591835i
\(175\) 7.70508 + 0.837978i 0.582450 + 0.0633452i
\(176\) 1.09262 0.0823591
\(177\) 7.67021 + 0.409755i 0.576528 + 0.0307991i
\(178\) −1.52477 −0.114287
\(179\) 4.74416 + 0.515959i 0.354595 + 0.0385646i 0.283683 0.958918i \(-0.408444\pi\)
0.0709119 + 0.997483i \(0.477409\pi\)
\(180\) 4.10039 4.82735i 0.305625 0.359809i
\(181\) 0.702777 + 0.154693i 0.0522370 + 0.0114982i 0.241012 0.970522i \(-0.422521\pi\)
−0.188775 + 0.982020i \(0.560452\pi\)
\(182\) −0.836194 0.635658i −0.0619828 0.0471181i
\(183\) 6.74228 6.38663i 0.498404 0.472113i
\(184\) −1.56537 + 3.92878i −0.115401 + 0.289634i
\(185\) −13.1686 4.43701i −0.968174 0.326216i
\(186\) −0.250483 1.52788i −0.0183663 0.112030i
\(187\) −0.107566 0.101892i −0.00786598 0.00745105i
\(188\) 17.0346 7.88104i 1.24238 0.574784i
\(189\) −1.08664 + 0.826040i −0.0790412 + 0.0600856i
\(190\) 0.910449 5.55349i 0.0660509 0.402893i
\(191\) 0.815378 1.53797i 0.0589987 0.111283i −0.852259 0.523120i \(-0.824768\pi\)
0.911258 + 0.411837i \(0.135113\pi\)
\(192\) −6.40289 + 1.40938i −0.462089 + 0.101713i
\(193\) 21.8504 + 10.1091i 1.57282 + 0.727666i 0.996013 0.0892112i \(-0.0284346\pi\)
0.576812 + 0.816877i \(0.304297\pi\)
\(194\) −0.982487 2.46586i −0.0705385 0.177038i
\(195\) 0.547904 + 10.1055i 0.0392362 + 0.723670i
\(196\) −5.58752 8.24098i −0.399109 0.588642i
\(197\) −5.35917 6.30931i −0.381825 0.449519i 0.537355 0.843356i \(-0.319423\pi\)
−0.919180 + 0.393837i \(0.871148\pi\)
\(198\) −0.0349992 0.0660155i −0.00248728 0.00469151i
\(199\) −22.1397 + 7.45973i −1.56944 + 0.528806i −0.963730 0.266878i \(-0.914008\pi\)
−0.605711 + 0.795684i \(0.707111\pi\)
\(200\) 0.300816 5.54822i 0.0212709 0.392318i
\(201\) −11.3205 + 6.81131i −0.798485 + 0.480433i
\(202\) 1.28304 + 4.62108i 0.0902740 + 0.325138i
\(203\) −1.50536 + 5.42183i −0.105656 + 0.380538i
\(204\) 0.818284 + 0.492345i 0.0572913 + 0.0344710i
\(205\) −12.6344 + 18.6343i −0.882423 + 1.30148i
\(206\) 1.37652 0.149706i 0.0959070 0.0104305i
\(207\) −4.29654 + 0.467277i −0.298630 + 0.0324780i
\(208\) 6.31488 9.31375i 0.437858 0.645793i
\(209\) 1.78593 + 1.07456i 0.123536 + 0.0743289i
\(210\) −0.296494 + 1.06787i −0.0204600 + 0.0736903i
\(211\) 1.50024 + 5.40336i 0.103281 + 0.371983i 0.997069 0.0765057i \(-0.0243763\pi\)
−0.893789 + 0.448488i \(0.851963\pi\)
\(212\) −2.37688 + 1.43012i −0.163244 + 0.0982209i
\(213\) 0.633759 11.6890i 0.0434244 0.800917i
\(214\) 2.61757 0.881961i 0.178933 0.0602896i
\(215\) −2.08775 3.93792i −0.142384 0.268564i
\(216\) 0.633497 + 0.745810i 0.0431040 + 0.0507460i
\(217\) −4.77309 7.03979i −0.324019 0.477892i
\(218\) 0.156141 + 2.87985i 0.0105752 + 0.195048i
\(219\) 2.79283 + 7.00949i 0.188722 + 0.473657i
\(220\) 1.72863 + 0.799747i 0.116544 + 0.0539189i
\(221\) −1.49024 + 0.328026i −0.100244 + 0.0220654i
\(222\) 0.494928 0.933533i 0.0332174 0.0626546i
\(223\) 2.54644 15.5326i 0.170522 1.04014i −0.753400 0.657562i \(-0.771588\pi\)
0.923923 0.382579i \(-0.124964\pi\)
\(224\) 3.10765 2.36238i 0.207639 0.157843i
\(225\) 5.15339 2.38421i 0.343559 0.158947i
\(226\) −1.81878 1.72284i −0.120983 0.114602i
\(227\) 1.69700 + 10.3513i 0.112634 + 0.687037i 0.981423 + 0.191855i \(0.0614504\pi\)
−0.868789 + 0.495182i \(0.835101\pi\)
\(228\) −12.7310 4.28957i −0.843130 0.284084i
\(229\) −10.9368 + 27.4494i −0.722726 + 1.81390i −0.160277 + 0.987072i \(0.551239\pi\)
−0.562449 + 0.826832i \(0.690141\pi\)
\(230\) −2.54760 + 2.41322i −0.167984 + 0.159123i
\(231\) −0.326769 0.248404i −0.0214998 0.0163438i
\(232\) 3.93966 + 0.867184i 0.258651 + 0.0569334i
\(233\) −3.33764 + 3.92938i −0.218656 + 0.257422i −0.860543 0.509377i \(-0.829876\pi\)
0.641887 + 0.766799i \(0.278152\pi\)
\(234\) −0.765014 0.0832003i −0.0500105 0.00543897i
\(235\) 31.6436 2.06420
\(236\) −6.26207 13.5071i −0.407626 0.879236i
\(237\) −9.93315 −0.645228
\(238\) −0.166122 0.0180668i −0.0107681 0.00117110i
\(239\) 5.14216 6.05381i 0.332618 0.391589i −0.570275 0.821454i \(-0.693163\pi\)
0.902893 + 0.429866i \(0.141439\pi\)
\(240\) −11.5954 2.55234i −0.748480 0.164753i
\(241\) −9.26190 7.04071i −0.596611 0.453532i 0.262776 0.964857i \(-0.415362\pi\)
−0.859388 + 0.511325i \(0.829155\pi\)
\(242\) −1.96797 + 1.86416i −0.126506 + 0.119833i
\(243\) −0.370138 + 0.928977i −0.0237444 + 0.0595939i
\(244\) −17.0583 5.74760i −1.09204 0.367952i
\(245\) −2.71568 16.5649i −0.173498 1.05829i
\(246\) −1.24282 1.17726i −0.0792392 0.0750593i
\(247\) 19.4818 9.01324i 1.23960 0.573499i
\(248\) −4.85419 + 3.69006i −0.308241 + 0.234319i
\(249\) 2.39282 14.5956i 0.151639 0.924956i
\(250\) 0.257931 0.486509i 0.0163130 0.0307695i
\(251\) −4.66556 + 1.02697i −0.294488 + 0.0648217i −0.359757 0.933046i \(-0.617140\pi\)
0.0652692 + 0.997868i \(0.479209\pi\)
\(252\) 2.40113 + 1.11088i 0.151257 + 0.0699789i
\(253\) −0.481053 1.20735i −0.0302435 0.0759056i
\(254\) −0.148881 2.74594i −0.00934160 0.172296i
\(255\) 0.903524 + 1.33260i 0.0565808 + 0.0834505i
\(256\) 7.30664 + 8.60204i 0.456665 + 0.537628i
\(257\) 1.67163 + 3.15304i 0.104274 + 0.196681i 0.930159 0.367157i \(-0.119669\pi\)
−0.825885 + 0.563838i \(0.809324\pi\)
\(258\) 0.321168 0.108214i 0.0199950 0.00673711i
\(259\) 0.314247 5.79594i 0.0195264 0.360142i
\(260\) 16.8080 10.1130i 1.04239 0.627184i
\(261\) 1.10286 + 3.97215i 0.0682654 + 0.245870i
\(262\) −0.632137 + 2.27675i −0.0390535 + 0.140658i
\(263\) −21.2433 12.7817i −1.30992 0.788152i −0.322544 0.946555i \(-0.604538\pi\)
−0.987375 + 0.158403i \(0.949366\pi\)
\(264\) −0.165137 + 0.243559i −0.0101635 + 0.0149900i
\(265\) −4.64923 + 0.505634i −0.285600 + 0.0310609i
\(266\) 2.33692 0.254155i 0.143286 0.0155833i
\(267\) −3.44379 + 5.07921i −0.210756 + 0.310842i
\(268\) 21.9421 + 13.2021i 1.34032 + 0.806446i
\(269\) 5.27955 19.0152i 0.321900 1.15938i −0.608719 0.793386i \(-0.708316\pi\)
0.930618 0.365991i \(-0.119270\pi\)
\(270\) 0.217218 + 0.782347i 0.0132194 + 0.0476121i
\(271\) −6.48271 + 3.90052i −0.393796 + 0.236939i −0.698656 0.715458i \(-0.746218\pi\)
0.304859 + 0.952397i \(0.401391\pi\)
\(272\) 0.0969178 1.78754i 0.00587651 0.108386i
\(273\) −4.00605 + 1.34980i −0.242457 + 0.0816933i
\(274\) 1.91263 + 3.60761i 0.115546 + 0.217944i
\(275\) 1.10543 + 1.30141i 0.0666598 + 0.0784780i
\(276\) 4.70102 + 6.93349i 0.282968 + 0.417347i
\(277\) −1.57179 28.9900i −0.0944397 1.74184i −0.535655 0.844437i \(-0.679935\pi\)
0.441216 0.897401i \(-0.354547\pi\)
\(278\) −0.800128 2.00817i −0.0479885 0.120442i
\(279\) −5.65529 2.61641i −0.338573 0.156641i
\(280\) 4.26262 0.938273i 0.254740 0.0560725i
\(281\) −3.97122 + 7.49052i −0.236903 + 0.446847i −0.973247 0.229761i \(-0.926206\pi\)
0.736344 + 0.676607i \(0.236551\pi\)
\(282\) −0.389263 + 2.37440i −0.0231803 + 0.141393i
\(283\) 10.5091 7.98879i 0.624700 0.474885i −0.244298 0.969700i \(-0.578558\pi\)
0.868998 + 0.494816i \(0.164764\pi\)
\(284\) −20.5925 + 9.52712i −1.22194 + 0.565330i
\(285\) −16.4431 15.5757i −0.974003 0.922625i
\(286\) −0.0374377 0.228360i −0.00221374 0.0135032i
\(287\) −8.91184 3.00275i −0.526049 0.177247i
\(288\) 1.05855 2.65676i 0.0623758 0.156551i
\(289\) 12.1657 11.5239i 0.715629 0.677879i
\(290\) 2.66465 + 2.02562i 0.156474 + 0.118948i
\(291\) −10.4331 2.29649i −0.611598 0.134623i
\(292\) 9.46798 11.1466i 0.554072 0.652303i
\(293\) 15.3042 + 1.66443i 0.894079 + 0.0972369i 0.543610 0.839338i \(-0.317057\pi\)
0.350468 + 0.936575i \(0.386022\pi\)
\(294\) 1.27637 0.0744393
\(295\) −0.0199426 25.1001i −0.00116110 1.46138i
\(296\) −4.16123 −0.241867
\(297\) −0.298953 0.0325131i −0.0173470 0.00188660i
\(298\) −1.76507 + 2.07801i −0.102248 + 0.120376i
\(299\) −13.0721 2.87738i −0.755978 0.166403i
\(300\) −8.76166 6.66044i −0.505855 0.384541i
\(301\) 1.35164 1.28034i 0.0779071 0.0737975i
\(302\) 1.20419 3.02228i 0.0692931 0.173912i
\(303\) 18.2912 + 6.16302i 1.05080 + 0.354056i
\(304\) 4.07419 + 24.8515i 0.233671 + 1.42533i
\(305\) −22.0321 20.8699i −1.26155 1.19501i
\(306\) −0.111107 + 0.0514036i −0.00635157 + 0.00293855i
\(307\) 5.62892 4.27899i 0.321259 0.244215i −0.432098 0.901827i \(-0.642226\pi\)
0.753357 + 0.657612i \(0.228433\pi\)
\(308\) −0.128712 + 0.785110i −0.00733406 + 0.0447358i
\(309\) 2.61027 4.92349i 0.148493 0.280088i
\(310\) −4.94109 + 1.08762i −0.280635 + 0.0617725i
\(311\) −21.6697 10.0255i −1.22878 0.568492i −0.305340 0.952243i \(-0.598770\pi\)
−0.923437 + 0.383751i \(0.874632\pi\)
\(312\) 1.12174 + 2.81535i 0.0635059 + 0.159388i
\(313\) 1.31007 + 24.1627i 0.0740493 + 1.36576i 0.765547 + 0.643380i \(0.222468\pi\)
−0.691498 + 0.722379i \(0.743049\pi\)
\(314\) 1.28413 + 1.89395i 0.0724677 + 0.106882i
\(315\) 2.88757 + 3.39951i 0.162696 + 0.191541i
\(316\) 9.01829 + 17.0103i 0.507319 + 0.956904i
\(317\) −14.2066 + 4.78675i −0.797921 + 0.268851i −0.688586 0.725154i \(-0.741768\pi\)
−0.109334 + 0.994005i \(0.534872\pi\)
\(318\) 0.0192518 0.355079i 0.00107959 0.0199118i
\(319\) −1.06223 + 0.639120i −0.0594732 + 0.0357838i
\(320\) 5.73151 + 20.6430i 0.320401 + 1.15398i
\(321\) 2.97401 10.7114i 0.165993 0.597852i
\(322\) −1.25597 0.755690i −0.0699922 0.0421129i
\(323\) 1.91642 2.82651i 0.106632 0.157271i
\(324\) 1.92690 0.209563i 0.107050 0.0116424i
\(325\) 17.4825 1.90133i 0.969753 0.105467i
\(326\) −1.95388 + 2.88176i −0.108215 + 0.159606i
\(327\) 9.94578 + 5.98418i 0.550003 + 0.330926i
\(328\) −1.80363 + 6.49610i −0.0995889 + 0.358687i
\(329\) 3.53612 + 12.7359i 0.194953 + 0.702156i
\(330\) −0.209214 + 0.125880i −0.0115168 + 0.00692945i
\(331\) −0.436444 + 8.04973i −0.0239891 + 0.442453i 0.961724 + 0.274020i \(0.0883535\pi\)
−0.985713 + 0.168433i \(0.946129\pi\)
\(332\) −27.1670 + 9.15363i −1.49098 + 0.502371i
\(333\) −1.99189 3.75711i −0.109155 0.205888i
\(334\) 2.85072 + 3.35613i 0.155984 + 0.183639i
\(335\) 24.2277 + 35.7332i 1.32370 + 1.95232i
\(336\) −0.268498 4.95216i −0.0146478 0.270162i
\(337\) −6.99195 17.5485i −0.380876 0.955927i −0.987024 0.160575i \(-0.948665\pi\)
0.606148 0.795352i \(-0.292714\pi\)
\(338\) 0.768609 + 0.355596i 0.0418068 + 0.0193419i
\(339\) −9.84681 + 2.16745i −0.534805 + 0.117720i
\(340\) 1.46174 2.75713i 0.0792738 0.149526i
\(341\) 0.303151 1.84914i 0.0164165 0.100136i
\(342\) 1.37101 1.04221i 0.0741357 0.0563565i
\(343\) 15.0352 6.95604i 0.811827 0.375591i
\(344\) −0.968993 0.917879i −0.0522446 0.0494887i
\(345\) 2.28482 + 13.9368i 0.123010 + 0.750330i
\(346\) 4.02999 + 1.35786i 0.216654 + 0.0729991i
\(347\) 6.70882 16.8379i 0.360149 0.903905i −0.631552 0.775334i \(-0.717582\pi\)
0.991700 0.128571i \(-0.0410390\pi\)
\(348\) 5.80093 5.49493i 0.310963 0.294559i
\(349\) 17.6105 + 13.3872i 0.942669 + 0.716598i 0.959041 0.283268i \(-0.0914186\pi\)
−0.0163722 + 0.999866i \(0.505212\pi\)
\(350\) 1.88076 + 0.413986i 0.100531 + 0.0221285i
\(351\) −2.00498 + 2.36044i −0.107018 + 0.125991i
\(352\) 0.854971 + 0.0929837i 0.0455701 + 0.00495605i
\(353\) −4.21501 −0.224343 −0.112171 0.993689i \(-0.535781\pi\)
−0.112171 + 0.993689i \(0.535781\pi\)
\(354\) 1.88365 + 0.307272i 0.100115 + 0.0163313i
\(355\) −38.2528 −2.03025
\(356\) 11.8246 + 1.28601i 0.626704 + 0.0681582i
\(357\) −0.435379 + 0.512567i −0.0230427 + 0.0271279i
\(358\) 1.15802 + 0.254899i 0.0612031 + 0.0134718i
\(359\) 6.97691 + 5.30371i 0.368227 + 0.279919i 0.772881 0.634551i \(-0.218815\pi\)
−0.404654 + 0.914470i \(0.632608\pi\)
\(360\) 2.32147 2.19902i 0.122352 0.115898i
\(361\) −10.7487 + 26.9772i −0.565721 + 1.41985i
\(362\) 0.169440 + 0.0570911i 0.00890559 + 0.00300064i
\(363\) 1.76497 + 10.7659i 0.0926370 + 0.565061i
\(364\) 5.94858 + 5.63479i 0.311790 + 0.295343i
\(365\) 22.3776 10.3530i 1.17130 0.541899i
\(366\) 1.83702 1.39646i 0.0960224 0.0729944i
\(367\) −0.314397 + 1.91773i −0.0164114 + 0.100105i −0.993762 0.111521i \(-0.964428\pi\)
0.977351 + 0.211626i \(0.0678759\pi\)
\(368\) 7.35543 13.8738i 0.383429 0.723223i
\(369\) −6.72857 + 1.48107i −0.350276 + 0.0771015i
\(370\) −3.13364 1.44978i −0.162910 0.0753702i
\(371\) −0.723053 1.81473i −0.0375390 0.0942158i
\(372\) 0.653874 + 12.0600i 0.0339018 + 0.625281i
\(373\) −13.8609 20.4433i −0.717690 1.05851i −0.995207 0.0977927i \(-0.968822\pi\)
0.277517 0.960721i \(-0.410489\pi\)
\(374\) −0.0238330 0.0280584i −0.00123238 0.00145087i
\(375\) −1.03807 1.95801i −0.0536057 0.101111i
\(376\) 8.97980 3.02565i 0.463098 0.156036i
\(377\) −0.691205 + 12.7485i −0.0355989 + 0.656583i
\(378\) −0.290607 + 0.174852i −0.0149472 + 0.00899343i
\(379\) 3.83399 + 13.8088i 0.196939 + 0.709310i 0.994376 + 0.105908i \(0.0337748\pi\)
−0.797437 + 0.603402i \(0.793811\pi\)
\(380\) −11.7444 + 42.2995i −0.602475 + 2.16992i
\(381\) −9.48333 5.70593i −0.485846 0.292324i
\(382\) 0.242727 0.357996i 0.0124190 0.0183167i
\(383\) 36.1170 3.92796i 1.84549 0.200709i 0.882513 0.470288i \(-0.155850\pi\)
0.962978 + 0.269579i \(0.0868846\pi\)
\(384\) −7.30571 + 0.794543i −0.372818 + 0.0405464i
\(385\) −0.752721 + 1.11018i −0.0383622 + 0.0565800i
\(386\) 5.12579 + 3.08409i 0.260896 + 0.156976i
\(387\) 0.364901 1.31426i 0.0185490 0.0668074i
\(388\) 5.53948 + 19.9514i 0.281224 + 1.01288i
\(389\) 21.0373 12.6577i 1.06663 0.641773i 0.129798 0.991540i \(-0.458567\pi\)
0.936837 + 0.349768i \(0.113739\pi\)
\(390\) −0.136139 + 2.51093i −0.00689364 + 0.127146i
\(391\) −2.01792 + 0.679918i −0.102051 + 0.0343849i
\(392\) −2.35453 4.44112i −0.118922 0.224311i
\(393\) 6.15642 + 7.24790i 0.310550 + 0.365608i
\(394\) −1.15430 1.70246i −0.0581527 0.0857689i
\(395\) 1.75730 + 32.4115i 0.0884193 + 1.63080i
\(396\) 0.215741 + 0.541470i 0.0108414 + 0.0272099i
\(397\) −11.8770 5.49490i −0.596092 0.275781i 0.0985560 0.995132i \(-0.468578\pi\)
−0.694648 + 0.719350i \(0.744440\pi\)
\(398\) −5.66924 + 1.24789i −0.284173 + 0.0625512i
\(399\) 4.43144 8.35859i 0.221850 0.418453i
\(400\) −3.33773 + 20.3593i −0.166887 + 1.01796i
\(401\) 5.83210 4.43345i 0.291241 0.221396i −0.449343 0.893359i \(-0.648342\pi\)
0.740584 + 0.671964i \(0.234549\pi\)
\(402\) −2.97931 + 1.37838i −0.148594 + 0.0687471i
\(403\) −14.0104 13.2714i −0.697910 0.661096i
\(404\) −6.05250 36.9186i −0.301123 1.83677i
\(405\) 3.09669 + 1.04340i 0.153876 + 0.0518468i
\(406\) −0.517502 + 1.29883i −0.0256832 + 0.0644600i
\(407\) 0.928392 0.879420i 0.0460187 0.0435912i
\(408\) 0.383820 + 0.291773i 0.0190019 + 0.0144449i
\(409\) −1.89420 0.416946i −0.0936624 0.0206166i 0.167892 0.985805i \(-0.446304\pi\)
−0.261554 + 0.965189i \(0.584235\pi\)
\(410\) −3.62148 + 4.26353i −0.178852 + 0.210561i
\(411\) 16.3372 + 1.77678i 0.805854 + 0.0876419i
\(412\) −10.8012 −0.532139
\(413\) 10.1001 2.81292i 0.496993 0.138415i
\(414\) −1.07386 −0.0527775
\(415\) −48.0480 5.22553i −2.35858 0.256511i
\(416\) 5.73400 6.75059i 0.281133 0.330975i
\(417\) −8.49660 1.87024i −0.416080 0.0915862i
\(418\) 0.412285 + 0.313411i 0.0201655 + 0.0153294i
\(419\) −16.2221 + 15.3664i −0.792501 + 0.750697i −0.972483 0.232973i \(-0.925155\pi\)
0.179982 + 0.983670i \(0.442396\pi\)
\(420\) 3.19997 8.03132i 0.156143 0.391888i
\(421\) −13.9099 4.68678i −0.677926 0.228420i −0.0407860 0.999168i \(-0.512986\pi\)
−0.637140 + 0.770748i \(0.719883\pi\)
\(422\) 0.225422 + 1.37501i 0.0109734 + 0.0669346i
\(423\) 7.03024 + 6.65940i 0.341822 + 0.323791i
\(424\) −1.27101 + 0.588032i −0.0617257 + 0.0285574i
\(425\) 2.22719 1.69306i 0.108034 0.0821257i
\(426\) 0.470567 2.87033i 0.0227990 0.139068i
\(427\) 5.93770 11.1997i 0.287345 0.541991i
\(428\) −21.0431 + 4.63194i −1.01716 + 0.223893i
\(429\) −0.845251 0.391055i −0.0408091 0.0188803i
\(430\) −0.409916 1.02881i −0.0197679 0.0496137i
\(431\) −0.0869407 1.60353i −0.00418779 0.0772392i 0.995692 0.0927180i \(-0.0295555\pi\)
−0.999880 + 0.0154788i \(0.995073\pi\)
\(432\) −2.03901 3.00731i −0.0981018 0.144689i
\(433\) −14.0999 16.5997i −0.677598 0.797730i 0.310661 0.950521i \(-0.399450\pi\)
−0.988258 + 0.152791i \(0.951174\pi\)
\(434\) −0.989905 1.86716i −0.0475170 0.0896265i
\(435\) 12.7658 4.30131i 0.612076 0.206232i
\(436\) 1.21801 22.4649i 0.0583323 1.07588i
\(437\) 25.6673 15.4435i 1.22784 0.738764i
\(438\) 0.501565 + 1.80647i 0.0239657 + 0.0863167i
\(439\) −5.12285 + 18.4508i −0.244500 + 0.880610i 0.734815 + 0.678268i \(0.237269\pi\)
−0.979315 + 0.202342i \(0.935145\pi\)
\(440\) 0.823939 + 0.495748i 0.0392797 + 0.0236338i
\(441\) 2.88275 4.25174i 0.137274 0.202464i
\(442\) −0.376923 + 0.0409928i −0.0179284 + 0.00194983i
\(443\) 36.7298 3.99461i 1.74508 0.189789i 0.820728 0.571319i \(-0.193568\pi\)
0.924357 + 0.381529i \(0.124603\pi\)
\(444\) −4.62552 + 6.82214i −0.219518 + 0.323764i
\(445\) 17.1825 + 10.3384i 0.814528 + 0.490085i
\(446\) 1.04629 3.76838i 0.0495430 0.178438i
\(447\) 2.93557 + 10.5730i 0.138848 + 0.500084i
\(448\) −7.66795 + 4.61365i −0.362276 + 0.217975i
\(449\) 1.70124 31.3775i 0.0802864 1.48080i −0.629842 0.776723i \(-0.716880\pi\)
0.710128 0.704072i \(-0.248637\pi\)
\(450\) 1.33701 0.450492i 0.0630274 0.0212364i
\(451\) −0.970462 1.83049i −0.0456973 0.0861942i
\(452\) 12.6516 + 14.8946i 0.595082 + 0.700584i
\(453\) −7.34786 10.8373i −0.345232 0.509180i
\(454\) 0.141104 + 2.60250i 0.00662233 + 0.122142i
\(455\) 5.11304 + 12.8328i 0.239703 + 0.601610i
\(456\) −6.15551 2.84784i −0.288258 0.133362i
\(457\) 12.5365 2.75949i 0.586433 0.129084i 0.0881638 0.996106i \(-0.471900\pi\)
0.498269 + 0.867022i \(0.333969\pi\)
\(458\) −3.43897 + 6.48659i −0.160693 + 0.303098i
\(459\) −0.0797101 + 0.486210i −0.00372055 + 0.0226943i
\(460\) 21.7920 16.5659i 1.01606 0.772388i
\(461\) 9.96780 4.61159i 0.464247 0.214783i −0.173800 0.984781i \(-0.555605\pi\)
0.638047 + 0.769998i \(0.279743\pi\)
\(462\) −0.0740436 0.0701378i −0.00344482 0.00326311i
\(463\) −1.24598 7.60012i −0.0579054 0.353207i −0.999848 0.0174335i \(-0.994450\pi\)
0.941943 0.335774i \(-0.108998\pi\)
\(464\) −14.1942 4.78259i −0.658951 0.222026i
\(465\) −7.53676 + 18.9158i −0.349509 + 0.877201i
\(466\) −0.930008 + 0.880950i −0.0430818 + 0.0408092i
\(467\) −1.20217 0.913866i −0.0556298 0.0422887i 0.576990 0.816751i \(-0.304227\pi\)
−0.632620 + 0.774463i \(0.718020\pi\)
\(468\) 5.86252 + 1.29044i 0.270995 + 0.0596506i
\(469\) −11.6746 + 13.7444i −0.539081 + 0.634655i
\(470\) 7.81643 + 0.850088i 0.360545 + 0.0392116i
\(471\) 9.20927 0.424341
\(472\) −2.40564 7.12098i −0.110729 0.327770i
\(473\) 0.410169 0.0188596
\(474\) −2.45364 0.266849i −0.112699 0.0122568i
\(475\) −25.4785 + 29.9956i −1.16903 + 1.37629i
\(476\) 1.27304 + 0.280217i 0.0583497 + 0.0128437i
\(477\) −1.13933 0.866096i −0.0521663 0.0396558i
\(478\) 1.43282 1.35724i 0.0655357 0.0620787i
\(479\) −9.10015 + 22.8397i −0.415797 + 1.04357i 0.560696 + 0.828022i \(0.310534\pi\)
−0.976493 + 0.215549i \(0.930846\pi\)
\(480\) −8.85618 2.98399i −0.404228 0.136200i
\(481\) −2.13068 12.9965i −0.0971504 0.592591i
\(482\) −2.09868 1.98798i −0.0955923 0.0905499i
\(483\) −5.35397 + 2.47701i −0.243614 + 0.112708i
\(484\) 16.8339 12.7968i 0.765176 0.581672i
\(485\) −5.64762 + 34.4490i −0.256445 + 1.56425i
\(486\) −0.116386 + 0.219527i −0.00527938 + 0.00995797i
\(487\) 9.39032 2.06697i 0.425516 0.0936632i 0.00295080 0.999996i \(-0.499061\pi\)
0.422565 + 0.906332i \(0.361130\pi\)
\(488\) −8.24777 3.81583i −0.373359 0.172734i
\(489\) 5.18654 + 13.0172i 0.234543 + 0.588659i
\(490\) −0.225805 4.16473i −0.0102008 0.188143i
\(491\) −19.8652 29.2990i −0.896505 1.32225i −0.946234 0.323484i \(-0.895146\pi\)
0.0497284 0.998763i \(-0.484164\pi\)
\(492\) 8.64516 + 10.1779i 0.389754 + 0.458854i
\(493\) 0.951391 + 1.79451i 0.0428485 + 0.0808208i
\(494\) 5.05443 1.70304i 0.227410 0.0766232i
\(495\) −0.0532004 + 0.981224i −0.00239118 + 0.0441027i
\(496\) 19.3995 11.6723i 0.871065 0.524102i
\(497\) −4.27469 15.3961i −0.191746 0.690607i
\(498\) 0.983164 3.54104i 0.0440566 0.158678i
\(499\) −13.5092 8.12820i −0.604754 0.363868i 0.180009 0.983665i \(-0.442387\pi\)
−0.784762 + 0.619797i \(0.787215\pi\)
\(500\) −2.41058 + 3.55534i −0.107804 + 0.159000i
\(501\) 17.6182 1.91609i 0.787122 0.0856047i
\(502\) −1.18005 + 0.128338i −0.0526683 + 0.00572802i
\(503\) −7.98319 + 11.7743i −0.355953 + 0.524991i −0.962938 0.269722i \(-0.913068\pi\)
0.606985 + 0.794713i \(0.292379\pi\)
\(504\) 1.14448 + 0.688614i 0.0509794 + 0.0306733i
\(505\) 16.8737 60.7737i 0.750871 2.70439i
\(506\) −0.0863924 0.311157i −0.00384061 0.0138326i
\(507\) 2.92048 1.75720i 0.129703 0.0780399i
\(508\) −1.16138 + 21.4204i −0.0515279 + 0.950376i
\(509\) −42.5963 + 14.3524i −1.88805 + 0.636158i −0.916107 + 0.400933i \(0.868686\pi\)
−0.971941 + 0.235224i \(0.924418\pi\)
\(510\) 0.187384 + 0.353444i 0.00829751 + 0.0156508i
\(511\) 6.66754 + 7.84963i 0.294954 + 0.347247i
\(512\) 9.82185 + 14.4861i 0.434068 + 0.640203i
\(513\) −0.375240 6.92090i −0.0165673 0.305565i
\(514\) 0.328214 + 0.823754i 0.0144769 + 0.0363342i
\(515\) −16.5269 7.64618i −0.728264 0.336931i
\(516\) −2.58193 + 0.568325i −0.113663 + 0.0250191i
\(517\) −1.36401 + 2.57280i −0.0599891 + 0.113152i
\(518\) 0.233329 1.42324i 0.0102519 0.0625337i
\(519\) 13.6252 10.3576i 0.598078 0.454647i
\(520\) 8.98791 4.15825i 0.394146 0.182351i
\(521\) 15.3056 + 14.4982i 0.670550 + 0.635178i 0.945248 0.326352i \(-0.105819\pi\)
−0.274699 + 0.961530i \(0.588578\pi\)
\(522\) 0.165714 + 1.01081i 0.00725308 + 0.0442419i
\(523\) −17.0589 5.74780i −0.745933 0.251334i −0.0794338 0.996840i \(-0.525311\pi\)
−0.666499 + 0.745506i \(0.732208\pi\)
\(524\) 6.82246 17.1231i 0.298041 0.748026i
\(525\) 5.62684 5.33003i 0.245575 0.232621i
\(526\) −4.90404 3.72795i −0.213826 0.162546i
\(527\) −2.99834 0.659984i −0.130610 0.0287494i
\(528\) 0.707345 0.832751i 0.0307833 0.0362408i
\(529\) 4.29605 + 0.467223i 0.186785 + 0.0203141i
\(530\) −1.16201 −0.0504746
\(531\) 5.27789 5.58067i 0.229041 0.242181i
\(532\) −18.3372 −0.795019
\(533\) −21.2124 2.30699i −0.918812 0.0999268i
\(534\) −0.987117 + 1.16212i −0.0427167 + 0.0502900i
\(535\) −35.4770 7.80908i −1.53380 0.337616i
\(536\) 10.2920 + 7.82380i 0.444548 + 0.337937i
\(537\) 3.46455 3.28180i 0.149506 0.141620i
\(538\) 1.81496 4.55521i 0.0782485 0.196389i
\(539\) 1.46388 + 0.493239i 0.0630538 + 0.0212453i
\(540\) −1.02469 6.25032i −0.0440955 0.268971i
\(541\) −7.13341 6.75712i −0.306689 0.290511i 0.518839 0.854872i \(-0.326364\pi\)
−0.825529 + 0.564360i \(0.809123\pi\)
\(542\) −1.70611 + 0.789331i −0.0732837 + 0.0339047i
\(543\) 0.572869 0.435484i 0.0245842 0.0186884i
\(544\) 0.227961 1.39050i 0.00977377 0.0596173i
\(545\) 17.7666 33.5113i 0.761037 1.43547i
\(546\) −1.02582 + 0.225799i −0.0439008 + 0.00966330i
\(547\) −7.62183 3.52623i −0.325886 0.150771i 0.250124 0.968214i \(-0.419529\pi\)
−0.576009 + 0.817443i \(0.695391\pi\)
\(548\) −11.7898 29.5902i −0.503636 1.26403i
\(549\) −0.502785 9.27333i −0.0214584 0.395776i
\(550\) 0.238095 + 0.351164i 0.0101524 + 0.0149737i
\(551\) −18.4976 21.7770i −0.788023 0.927733i
\(552\) 1.98097 + 3.73651i 0.0843157 + 0.159036i
\(553\) −12.8486 + 4.32921i −0.546380 + 0.184097i
\(554\) 0.390545 7.20318i 0.0165927 0.306034i
\(555\) −11.9069 + 7.16414i −0.505419 + 0.304101i
\(556\) 4.51130 + 16.2482i 0.191322 + 0.689078i
\(557\) −5.83098 + 21.0013i −0.247067 + 0.889853i 0.731141 + 0.682226i \(0.238988\pi\)
−0.978208 + 0.207627i \(0.933426\pi\)
\(558\) −1.32665 0.798219i −0.0561616 0.0337913i
\(559\) 2.37061 3.49639i 0.100266 0.147881i
\(560\) −16.1112 + 1.75220i −0.680822 + 0.0740438i
\(561\) −0.147294 + 0.0160192i −0.00621878 + 0.000676333i
\(562\) −1.18218 + 1.74358i −0.0498672 + 0.0735486i
\(563\) −8.88109 5.34357i −0.374293 0.225205i 0.315960 0.948772i \(-0.397673\pi\)
−0.690253 + 0.723568i \(0.742501\pi\)
\(564\) 5.02133 18.0852i 0.211436 0.761524i
\(565\) 8.81431 + 31.7463i 0.370821 + 1.33558i
\(566\) 2.81051 1.69103i 0.118135 0.0710793i
\(567\) −0.0738976 + 1.36296i −0.00310341 + 0.0572390i
\(568\) −10.8554 + 3.65760i −0.455481 + 0.153470i
\(569\) 8.36974 + 15.7870i 0.350878 + 0.661826i 0.994640 0.103400i \(-0.0329721\pi\)
−0.643762 + 0.765226i \(0.722627\pi\)
\(570\) −3.64325 4.28916i −0.152599 0.179653i
\(571\) −3.59367 5.30027i −0.150391 0.221810i 0.745030 0.667031i \(-0.232435\pi\)
−0.895420 + 0.445222i \(0.853125\pi\)
\(572\) 0.0977293 + 1.80251i 0.00408627 + 0.0753668i
\(573\) −0.644315 1.61711i −0.0269166 0.0675557i
\(574\) −2.12069 0.981135i −0.0885158 0.0409518i
\(575\) 23.9667 5.27547i 0.999481 0.220002i
\(576\) −3.07096 + 5.79245i −0.127957 + 0.241352i
\(577\) 0.767107 4.67915i 0.0319351 0.194795i −0.966041 0.258390i \(-0.916808\pi\)
0.997976 + 0.0635943i \(0.0202564\pi\)
\(578\) 3.31469 2.51976i 0.137873 0.104808i
\(579\) 21.8504 10.1091i 0.908071 0.420118i
\(580\) −18.9560 17.9561i −0.787105 0.745585i
\(581\) −3.26611 19.9224i −0.135501 0.826519i
\(582\) −2.51543 0.847548i −0.104268 0.0351320i
\(583\) 0.159296 0.399804i 0.00659738 0.0165582i
\(584\) 5.36039 5.07763i 0.221814 0.210114i
\(585\) 8.05673 + 6.12457i 0.333105 + 0.253220i
\(586\) 3.73564 + 0.822277i 0.154318 + 0.0339679i
\(587\) −20.9109 + 24.6182i −0.863085 + 1.01610i 0.136590 + 0.990628i \(0.456386\pi\)
−0.999675 + 0.0254751i \(0.991890\pi\)
\(588\) −9.89825 1.07650i −0.408197 0.0443941i
\(589\) 43.1889 1.77957
\(590\) 0.669374 6.20062i 0.0275577 0.255276i
\(591\) −8.27817 −0.340518
\(592\) 15.3603 + 1.67053i 0.631303 + 0.0686583i
\(593\) −14.1682 + 16.6801i −0.581820 + 0.684971i −0.971788 0.235857i \(-0.924210\pi\)
0.389968 + 0.920828i \(0.372486\pi\)
\(594\) −0.0729725 0.0160625i −0.00299410 0.000659050i
\(595\) 1.74951 + 1.32994i 0.0717229 + 0.0545223i
\(596\) 15.4408 14.6263i 0.632479 0.599116i
\(597\) −8.64741 + 21.7034i −0.353915 + 0.888260i
\(598\) −3.15170 1.06193i −0.128882 0.0434256i
\(599\) −5.41076 33.0042i −0.221078 1.34851i −0.831097 0.556127i \(-0.812287\pi\)
0.610019 0.792386i \(-0.291162\pi\)
\(600\) −4.03390 3.82111i −0.164683 0.155996i
\(601\) −5.05752 + 2.33986i −0.206301 + 0.0954448i −0.520319 0.853972i \(-0.674187\pi\)
0.314018 + 0.949417i \(0.398325\pi\)
\(602\) 0.368270 0.279952i 0.0150096 0.0114100i
\(603\) −2.13740 + 13.0376i −0.0870418 + 0.530932i
\(604\) −11.8875 + 22.4222i −0.483695 + 0.912346i
\(605\) 34.8163 7.66364i 1.41548 0.311571i
\(606\) 4.35263 + 2.01374i 0.176813 + 0.0818026i
\(607\) −6.74801 16.9362i −0.273893 0.687420i 0.726107 0.687582i \(-0.241328\pi\)
−1.00000 0.000161753i \(0.999949\pi\)
\(608\) 1.07314 + 19.7930i 0.0435217 + 0.802711i
\(609\) 3.15776 + 4.65735i 0.127959 + 0.188725i
\(610\) −4.88160 5.74706i −0.197650 0.232692i
\(611\) 14.0478 + 26.4969i 0.568312 + 1.07195i
\(612\) 0.904992 0.304927i 0.0365821 0.0123260i
\(613\) −0.860405 + 15.8692i −0.0347514 + 0.640952i 0.928332 + 0.371751i \(0.121242\pi\)
−0.963084 + 0.269201i \(0.913240\pi\)
\(614\) 1.50538 0.905757i 0.0607522 0.0365534i
\(615\) 6.02304 + 21.6930i 0.242872 + 0.874748i
\(616\) −0.107455 + 0.387019i −0.00432950 + 0.0155935i
\(617\) 16.4308 + 9.88610i 0.661480 + 0.397999i 0.806340 0.591453i \(-0.201445\pi\)
−0.144860 + 0.989452i \(0.546273\pi\)
\(618\) 0.777043 1.14605i 0.0312573 0.0461010i
\(619\) 3.81101 0.414473i 0.153177 0.0166591i −0.0312089 0.999513i \(-0.509936\pi\)
0.184386 + 0.982854i \(0.440970\pi\)
\(620\) 39.2356 4.26712i 1.57574 0.171372i
\(621\) −2.42538 + 3.57717i −0.0973272 + 0.143547i
\(622\) −5.08341 3.05859i −0.203826 0.122638i
\(623\) −2.24088 + 8.07093i −0.0897790 + 0.323355i
\(624\) −3.01042 10.8426i −0.120513 0.434050i
\(625\) 18.1218 10.9035i 0.724870 0.436140i
\(626\) −0.325514 + 6.00375i −0.0130101 + 0.239958i
\(627\) 1.97518 0.665515i 0.0788810 0.0265781i
\(628\) −8.36108 15.7707i −0.333643 0.629318i
\(629\) −1.35640 1.59688i −0.0540832 0.0636716i
\(630\) 0.621947 + 0.917303i 0.0247790 + 0.0365462i
\(631\) 1.38187 + 25.4871i 0.0550115 + 1.01463i 0.887565 + 0.460682i \(0.152395\pi\)
−0.832554 + 0.553945i \(0.813122\pi\)
\(632\) 3.59776 + 9.02969i 0.143111 + 0.359182i
\(633\) 5.08947 + 2.35464i 0.202288 + 0.0935885i
\(634\) −3.63783 + 0.800746i −0.144477 + 0.0318017i
\(635\) −16.9405 + 31.9532i −0.672263 + 1.26802i
\(636\) −0.448774 + 2.73740i −0.0177951 + 0.108545i
\(637\) 12.6651 9.62778i 0.501810 0.381466i
\(638\) −0.279555 + 0.129336i −0.0110677 + 0.00512046i
\(639\) −8.49862 8.05032i −0.336200 0.318466i
\(640\) 3.88503 + 23.6976i 0.153569 + 0.936732i
\(641\) 11.8393 + 3.98913i 0.467625 + 0.157561i 0.543243 0.839576i \(-0.317196\pi\)
−0.0756180 + 0.997137i \(0.524093\pi\)
\(642\) 1.02238 2.56598i 0.0403501 0.101271i
\(643\) 2.49003 2.35868i 0.0981971 0.0930173i −0.637026 0.770842i \(-0.719836\pi\)
0.735224 + 0.677825i \(0.237077\pi\)
\(644\) 9.10268 + 6.91968i 0.358696 + 0.272674i
\(645\) −4.35292 0.958150i −0.171396 0.0377271i
\(646\) 0.549317 0.646706i 0.0216126 0.0254443i
\(647\) 4.11888 + 0.447955i 0.161930 + 0.0176109i 0.188725 0.982030i \(-0.439565\pi\)
−0.0267949 + 0.999641i \(0.508530\pi\)
\(648\) 0.978545 0.0384409
\(649\) 2.04163 + 1.08033i 0.0801412 + 0.0424066i
\(650\) 4.36951 0.171386
\(651\) −8.45549 0.919590i −0.331397 0.0360416i
\(652\) 17.5829 20.7001i 0.688598 0.810680i
\(653\) 10.9246 + 2.40468i 0.427511 + 0.0941023i 0.423514 0.905890i \(-0.360797\pi\)
0.00399745 + 0.999992i \(0.498728\pi\)
\(654\) 2.29599 + 1.74537i 0.0897804 + 0.0682493i
\(655\) 22.5604 21.3704i 0.881510 0.835010i
\(656\) 9.26557 23.2548i 0.361760 0.907949i
\(657\) 7.15041 + 2.40925i 0.278964 + 0.0939939i
\(658\) 0.531329 + 3.24096i 0.0207134 + 0.126346i
\(659\) 17.1156 + 16.2128i 0.666730 + 0.631560i 0.944277 0.329152i \(-0.106763\pi\)
−0.277547 + 0.960712i \(0.589521\pi\)
\(660\) 1.72863 0.799747i 0.0672866 0.0311301i
\(661\) −38.5719 + 29.3216i −1.50027 + 1.14048i −0.547498 + 0.836807i \(0.684420\pi\)
−0.952777 + 0.303672i \(0.901787\pi\)
\(662\) −0.324060 + 1.97668i −0.0125949 + 0.0768257i
\(663\) −0.714750 + 1.34816i −0.0277586 + 0.0523582i
\(664\) −14.1347 + 3.11128i −0.548533 + 0.120741i
\(665\) −28.0577 12.9809i −1.08803 0.503377i
\(666\) −0.391094 0.981572i −0.0151546 0.0380351i
\(667\) 0.964569 + 17.7904i 0.0373483 + 0.688848i
\(668\) −19.2768 28.4311i −0.745841 1.10003i
\(669\) −10.1898 11.9964i −0.393962 0.463808i
\(670\) 5.02466 + 9.47751i 0.194119 + 0.366148i
\(671\) 2.64654 0.891725i 0.102169 0.0344246i
\(672\) 0.211338 3.89791i 0.00815255 0.150365i
\(673\) −30.9613 + 18.6288i −1.19347 + 0.718087i −0.966713 0.255864i \(-0.917640\pi\)
−0.226758 + 0.973951i \(0.572813\pi\)
\(674\) −1.25569 4.52257i −0.0483672 0.174203i
\(675\) 1.51908 5.47122i 0.0584693 0.210587i
\(676\) −5.66066 3.40591i −0.217718 0.130996i
\(677\) −1.33640 + 1.97104i −0.0513619 + 0.0757532i −0.852503 0.522723i \(-0.824916\pi\)
0.801141 + 0.598476i \(0.204227\pi\)
\(678\) −2.49054 + 0.270862i −0.0956484 + 0.0104024i
\(679\) −14.4962 + 1.57656i −0.556313 + 0.0605027i
\(680\) 0.884139 1.30401i 0.0339052 0.0500064i
\(681\) 8.98796 + 5.40787i 0.344419 + 0.207230i
\(682\) 0.124559 0.448621i 0.00476961 0.0171786i
\(683\) 9.02076 + 32.4899i 0.345170 + 1.24319i 0.908824 + 0.417179i \(0.136981\pi\)
−0.563654 + 0.826011i \(0.690605\pi\)
\(684\) −11.5112 + 6.92606i −0.440142 + 0.264825i
\(685\) 2.90729 53.6219i 0.111082 2.04879i
\(686\) 3.90080 1.31433i 0.148933 0.0501814i
\(687\) 13.8405 + 26.1060i 0.528048 + 0.996005i
\(688\) 3.20834 + 3.77715i 0.122317 + 0.144003i
\(689\) −2.48736 3.66859i −0.0947610 0.139762i
\(690\) 0.189980 + 3.50397i 0.00723240 + 0.133394i
\(691\) 13.5843 + 34.0941i 0.516773 + 1.29700i 0.923551 + 0.383475i \(0.125273\pi\)
−0.406778 + 0.913527i \(0.633348\pi\)
\(692\) −30.1074 13.9292i −1.14451 0.529507i
\(693\) −0.400870 + 0.0882381i −0.0152278 + 0.00335189i
\(694\) 2.10952 3.97898i 0.0800763 0.151040i
\(695\) −4.59937 + 28.0549i −0.174464 + 1.06418i
\(696\) 3.21141 2.44125i 0.121728 0.0925354i
\(697\) −3.08080 + 1.42533i −0.116693 + 0.0539881i
\(698\) 3.99042 + 3.77992i 0.151040 + 0.143072i
\(699\) 0.834078 + 5.08765i 0.0315477 + 0.192433i
\(700\) −14.2362 4.79672i −0.538076 0.181299i
\(701\) −1.81667 + 4.55950i −0.0686147 + 0.172210i −0.959285 0.282440i \(-0.908856\pi\)
0.890670 + 0.454650i \(0.150236\pi\)
\(702\) −0.558672 + 0.529202i −0.0210857 + 0.0199734i
\(703\) 23.4641 + 17.8370i 0.884967 + 0.672734i
\(704\) −1.92545 0.423824i −0.0725682 0.0159735i
\(705\) 20.4856 24.1175i 0.771533 0.908318i
\(706\) −1.04117 0.113234i −0.0391850 0.00426162i
\(707\) 26.3459 0.990839
\(708\) −14.3486 3.97158i −0.539252 0.149261i
\(709\) −2.87947 −0.108141 −0.0540704 0.998537i \(-0.517220\pi\)
−0.0540704 + 0.998537i \(0.517220\pi\)
\(710\) −9.44901 1.02764i −0.354615 0.0385667i
\(711\) −6.43059 + 7.57067i −0.241166 + 0.283922i
\(712\) 5.86456 + 1.29089i 0.219784 + 0.0483780i
\(713\) −21.4392 16.2976i −0.802903 0.610351i
\(714\) −0.121315 + 0.114916i −0.00454009 + 0.00430060i
\(715\) −1.12646 + 2.82720i −0.0421272 + 0.105731i
\(716\) −8.76546 2.95343i −0.327581 0.110375i
\(717\) −1.28503 7.83831i −0.0479902 0.292727i
\(718\) 1.58092 + 1.49753i 0.0589994 + 0.0558872i
\(719\) 28.1277 13.0133i 1.04899 0.485313i 0.181821 0.983332i \(-0.441801\pi\)
0.867167 + 0.498018i \(0.165939\pi\)
\(720\) −9.45200 + 7.18523i −0.352255 + 0.267778i
\(721\) 1.23059 7.50624i 0.0458294 0.279547i
\(722\) −3.37981 + 6.37501i −0.125784 + 0.237253i
\(723\) −11.3622 + 2.50101i −0.422564 + 0.0930135i
\(724\) −1.26586 0.585650i −0.0470454 0.0217655i
\(725\) −8.66414 21.7453i −0.321778 0.807602i
\(726\) 0.146755 + 2.70674i 0.00544660 + 0.100457i
\(727\) 5.15263 + 7.59955i 0.191100 + 0.281852i 0.911154 0.412067i \(-0.135193\pi\)
−0.720053 + 0.693919i \(0.755883\pi\)
\(728\) 2.67800 + 3.15279i 0.0992535 + 0.116850i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) 5.80572 1.95617i 0.214879 0.0724013i
\(731\) 0.0363830 0.671045i 0.00134567 0.0248195i
\(732\) −15.4239 + 9.28025i −0.570083 + 0.343008i
\(733\) 7.31566 + 26.3486i 0.270210 + 0.973208i 0.966757 + 0.255697i \(0.0823050\pi\)
−0.696547 + 0.717511i \(0.745281\pi\)
\(734\) −0.129180 + 0.465263i −0.00476811 + 0.0171732i
\(735\) −14.3832 8.65411i −0.530534 0.319211i
\(736\) 6.93631 10.2303i 0.255676 0.377093i
\(737\) −3.94966 + 0.429552i −0.145488 + 0.0158227i
\(738\) −1.70185 + 0.185087i −0.0626458 + 0.00681314i
\(739\) −15.3003 + 22.5662i −0.562829 + 0.830111i −0.997514 0.0704719i \(-0.977549\pi\)
0.434685 + 0.900583i \(0.356860\pi\)
\(740\) 23.0787 + 13.8860i 0.848389 + 0.510458i
\(741\) 5.74270 20.6833i 0.210963 0.759821i
\(742\) −0.129853 0.467689i −0.00476706 0.0171694i
\(743\) −10.0839 + 6.06731i −0.369944 + 0.222588i −0.688370 0.725360i \(-0.741673\pi\)
0.318426 + 0.947948i \(0.396846\pi\)
\(744\) −0.330113 + 6.08857i −0.0121025 + 0.223218i
\(745\) 33.9798 11.4491i 1.24492 0.419464i
\(746\) −2.87465 5.42216i −0.105248 0.198519i
\(747\) −9.57510 11.2727i −0.350335 0.412446i
\(748\) 0.161161 + 0.237695i 0.00589263 + 0.00869098i
\(749\) −0.821490 15.1515i −0.0300166 0.553623i
\(750\) −0.203818 0.511544i −0.00744237 0.0186789i
\(751\) 14.1068 + 6.52652i 0.514766 + 0.238156i 0.660033 0.751236i \(-0.270542\pi\)
−0.145267 + 0.989392i \(0.546404\pi\)
\(752\) −34.3616 + 7.56356i −1.25304 + 0.275815i
\(753\) −2.23771 + 4.22076i −0.0815465 + 0.153813i
\(754\) −0.513221 + 3.13051i −0.0186904 + 0.114006i
\(755\) −34.0617 + 25.8930i −1.23963 + 0.942343i
\(756\) 2.40113 1.11088i 0.0873283 0.0404024i
\(757\) 9.62317 + 9.11555i 0.349760 + 0.331310i 0.842330 0.538963i \(-0.181184\pi\)
−0.492569 + 0.870273i \(0.663942\pi\)
\(758\) 0.576087 + 3.51397i 0.0209244 + 0.127633i
\(759\) −1.23163 0.414983i −0.0447052 0.0150629i
\(760\) −8.20340 + 20.5890i −0.297569 + 0.746841i
\(761\) −34.1493 + 32.3480i −1.23791 + 1.17261i −0.259547 + 0.965731i \(0.583573\pi\)
−0.978366 + 0.206882i \(0.933668\pi\)
\(762\) −2.18924 1.66421i −0.0793077 0.0602881i
\(763\) 15.4731 + 3.40588i 0.560163 + 0.123301i
\(764\) −2.18429 + 2.57154i −0.0790248 + 0.0930352i
\(765\) 1.60058 + 0.174074i 0.0578692 + 0.00629366i
\(766\) 9.02695 0.326157
\(767\) 21.0088 11.1596i 0.758584 0.402948i
\(768\) 11.2864 0.407262
\(769\) 52.3494 + 5.69334i 1.88777 + 0.205307i 0.977825 0.209424i \(-0.0671590\pi\)
0.909944 + 0.414732i \(0.136125\pi\)
\(770\) −0.215758 + 0.254009i −0.00777536 + 0.00915387i
\(771\) 3.48532 + 0.767176i 0.125521 + 0.0276292i
\(772\) −37.1495 28.2403i −1.33704