Properties

Label 273.2.by.d.97.5
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.5
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0473445 + 0.176692i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.70307 - 0.983269i) q^{4} +(2.80040 + 2.80040i) q^{5} +(0.0473445 - 0.176692i) q^{6} +(-0.467560 - 2.60411i) q^{7} +(0.513062 + 0.513062i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.0473445 + 0.176692i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.70307 - 0.983269i) q^{4} +(2.80040 + 2.80040i) q^{5} +(0.0473445 - 0.176692i) q^{6} +(-0.467560 - 2.60411i) q^{7} +(0.513062 + 0.513062i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.362225 + 0.627392i) q^{10} +(-2.53602 + 0.679524i) q^{11} -1.96654 q^{12} +(1.37067 + 3.33485i) q^{13} +(0.437989 - 0.205904i) q^{14} +(-1.02502 - 3.82542i) q^{15} +(1.90018 - 3.29120i) q^{16} +(-1.43204 - 2.48037i) q^{17} +(-0.129347 + 0.129347i) q^{18} +(0.759707 - 2.83527i) q^{19} +(7.52284 + 2.01574i) q^{20} +(-0.897136 + 2.48901i) q^{21} +(-0.240133 - 0.415922i) q^{22} +(7.27090 + 4.19786i) q^{23} +(-0.187794 - 0.700855i) q^{24} +10.6845i q^{25} +(-0.524348 + 0.400074i) q^{26} -1.00000i q^{27} +(-3.35683 - 3.97525i) q^{28} +(1.66138 - 2.87760i) q^{29} +(0.627392 - 0.362225i) q^{30} +(-6.75045 - 6.75045i) q^{31} +(2.07320 + 0.555513i) q^{32} +(2.53602 + 0.679524i) q^{33} +(0.370463 - 0.370463i) q^{34} +(5.98320 - 8.60192i) q^{35} +(1.70307 + 0.983269i) q^{36} +(-6.77592 + 1.81560i) q^{37} +0.536937 q^{38} +(0.480389 - 3.57341i) q^{39} +2.87356i q^{40} +(-2.79099 + 0.747843i) q^{41} +(-0.482262 - 0.0406761i) q^{42} +(-2.43132 + 1.40372i) q^{43} +(-3.65087 + 3.65087i) q^{44} +(-1.02502 + 3.82542i) q^{45} +(-0.397491 + 1.48346i) q^{46} +(-4.85765 + 4.85765i) q^{47} +(-3.29120 + 1.90018i) q^{48} +(-6.56278 + 2.43516i) q^{49} +(-1.88787 + 0.505853i) q^{50} +2.86409i q^{51} +(5.61342 + 4.33176i) q^{52} -5.43259 q^{53} +(0.176692 - 0.0473445i) q^{54} +(-9.00481 - 5.19893i) q^{55} +(1.09618 - 1.57596i) q^{56} +(-2.07556 + 2.07556i) q^{57} +(0.587105 + 0.157314i) q^{58} +(-0.00666592 - 0.00178613i) q^{59} +(-5.50710 - 5.50710i) q^{60} +(5.65469 - 3.26474i) q^{61} +(0.873154 - 1.51235i) q^{62} +(2.02145 - 1.70697i) q^{63} -7.20808i q^{64} +(-5.50050 + 13.1774i) q^{65} +0.480266i q^{66} +(2.10207 + 7.84504i) q^{67} +(-4.87775 - 2.81617i) q^{68} +(-4.19786 - 7.27090i) q^{69} +(1.80316 + 0.649930i) q^{70} +(-14.5933 - 3.91026i) q^{71} +(-0.187794 + 0.700855i) q^{72} +(0.321617 - 0.321617i) q^{73} +(-0.641604 - 1.11129i) q^{74} +(5.34226 - 9.25307i) q^{75} +(-1.49399 - 5.57566i) q^{76} +(2.95530 + 6.28635i) q^{77} +(0.654136 - 0.0843000i) q^{78} +0.280448 q^{79} +(14.5379 - 3.89543i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.264276 - 0.457739i) q^{82} +(-2.42973 - 2.42973i) q^{83} +(0.919475 + 5.12108i) q^{84} +(2.93575 - 10.9564i) q^{85} +(-0.363136 - 0.363136i) q^{86} +(-2.87760 + 1.66138i) q^{87} +(-1.64977 - 0.952496i) q^{88} +(0.0536096 + 0.200074i) q^{89} -0.724450 q^{90} +(8.04346 - 5.12863i) q^{91} +16.5105 q^{92} +(2.47084 + 9.22129i) q^{93} +(-1.08829 - 0.628324i) q^{94} +(10.0674 - 5.81240i) q^{95} +(-1.51769 - 1.51769i) q^{96} +(0.197356 - 0.736543i) q^{97} +(-0.740984 - 1.04430i) q^{98} +(-1.85649 - 1.85649i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0473445 + 0.176692i 0.0334776 + 0.124940i 0.980642 0.195807i \(-0.0627327\pi\)
−0.947165 + 0.320747i \(0.896066\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) 1.70307 0.983269i 0.851536 0.491635i
\(5\) 2.80040 + 2.80040i 1.25238 + 1.25238i 0.954651 + 0.297728i \(0.0962288\pi\)
0.297728 + 0.954651i \(0.403771\pi\)
\(6\) 0.0473445 0.176692i 0.0193283 0.0721342i
\(7\) −0.467560 2.60411i −0.176721 0.984261i
\(8\) 0.513062 + 0.513062i 0.181395 + 0.181395i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −0.362225 + 0.627392i −0.114546 + 0.198399i
\(11\) −2.53602 + 0.679524i −0.764638 + 0.204884i −0.620001 0.784601i \(-0.712868\pi\)
−0.144637 + 0.989485i \(0.546201\pi\)
\(12\) −1.96654 −0.567691
\(13\) 1.37067 + 3.33485i 0.380156 + 0.924922i
\(14\) 0.437989 0.205904i 0.117057 0.0550302i
\(15\) −1.02502 3.82542i −0.264659 0.987720i
\(16\) 1.90018 3.29120i 0.475044 0.822800i
\(17\) −1.43204 2.48037i −0.347322 0.601579i 0.638451 0.769663i \(-0.279576\pi\)
−0.985773 + 0.168083i \(0.946242\pi\)
\(18\) −0.129347 + 0.129347i −0.0304875 + 0.0304875i
\(19\) 0.759707 2.83527i 0.174289 0.650455i −0.822383 0.568934i \(-0.807356\pi\)
0.996672 0.0815202i \(-0.0259775\pi\)
\(20\) 7.52284 + 2.01574i 1.68216 + 0.450733i
\(21\) −0.897136 + 2.48901i −0.195771 + 0.543145i
\(22\) −0.240133 0.415922i −0.0511965 0.0886749i
\(23\) 7.27090 + 4.19786i 1.51609 + 0.875314i 0.999822 + 0.0188857i \(0.00601188\pi\)
0.516266 + 0.856428i \(0.327321\pi\)
\(24\) −0.187794 0.700855i −0.0383332 0.143062i
\(25\) 10.6845i 2.13690i
\(26\) −0.524348 + 0.400074i −0.102833 + 0.0784609i
\(27\) 1.00000i 0.192450i
\(28\) −3.35683 3.97525i −0.634381 0.751252i
\(29\) 1.66138 2.87760i 0.308511 0.534356i −0.669526 0.742789i \(-0.733503\pi\)
0.978037 + 0.208432i \(0.0668361\pi\)
\(30\) 0.627392 0.362225i 0.114546 0.0661330i
\(31\) −6.75045 6.75045i −1.21242 1.21242i −0.970229 0.242188i \(-0.922135\pi\)
−0.242188 0.970229i \(-0.577865\pi\)
\(32\) 2.07320 + 0.555513i 0.366494 + 0.0982017i
\(33\) 2.53602 + 0.679524i 0.441464 + 0.118290i
\(34\) 0.370463 0.370463i 0.0635339 0.0635339i
\(35\) 5.98320 8.60192i 1.01135 1.45399i
\(36\) 1.70307 + 0.983269i 0.283845 + 0.163878i
\(37\) −6.77592 + 1.81560i −1.11395 + 0.298483i −0.768434 0.639929i \(-0.778964\pi\)
−0.345519 + 0.938412i \(0.612297\pi\)
\(38\) 0.536937 0.0871026
\(39\) 0.480389 3.57341i 0.0769239 0.572203i
\(40\) 2.87356i 0.454350i
\(41\) −2.79099 + 0.747843i −0.435879 + 0.116793i −0.470085 0.882621i \(-0.655777\pi\)
0.0342056 + 0.999415i \(0.489110\pi\)
\(42\) −0.482262 0.0406761i −0.0744146 0.00627646i
\(43\) −2.43132 + 1.40372i −0.370773 + 0.214066i −0.673796 0.738917i \(-0.735337\pi\)
0.303023 + 0.952983i \(0.402004\pi\)
\(44\) −3.65087 + 3.65087i −0.550389 + 0.550389i
\(45\) −1.02502 + 3.82542i −0.152801 + 0.570260i
\(46\) −0.397491 + 1.48346i −0.0586068 + 0.218724i
\(47\) −4.85765 + 4.85765i −0.708561 + 0.708561i −0.966232 0.257672i \(-0.917045\pi\)
0.257672 + 0.966232i \(0.417045\pi\)
\(48\) −3.29120 + 1.90018i −0.475044 + 0.274267i
\(49\) −6.56278 + 2.43516i −0.937539 + 0.347879i
\(50\) −1.88787 + 0.505853i −0.266985 + 0.0715384i
\(51\) 2.86409i 0.401053i
\(52\) 5.61342 + 4.33176i 0.778441 + 0.600707i
\(53\) −5.43259 −0.746224 −0.373112 0.927786i \(-0.621709\pi\)
−0.373112 + 0.927786i \(0.621709\pi\)
\(54\) 0.176692 0.0473445i 0.0240447 0.00644277i
\(55\) −9.00481 5.19893i −1.21421 0.701024i
\(56\) 1.09618 1.57596i 0.146483 0.210596i
\(57\) −2.07556 + 2.07556i −0.274914 + 0.274914i
\(58\) 0.587105 + 0.157314i 0.0770907 + 0.0206564i
\(59\) −0.00666592 0.00178613i −0.000867829 0.000232534i 0.258385 0.966042i \(-0.416810\pi\)
−0.259253 + 0.965809i \(0.583476\pi\)
\(60\) −5.50710 5.50710i −0.710964 0.710964i
\(61\) 5.65469 3.26474i 0.724009 0.418007i −0.0922177 0.995739i \(-0.529396\pi\)
0.816226 + 0.577732i \(0.196062\pi\)
\(62\) 0.873154 1.51235i 0.110891 0.192068i
\(63\) 2.02145 1.70697i 0.254678 0.215058i
\(64\) 7.20808i 0.901010i
\(65\) −5.50050 + 13.1774i −0.682253 + 1.63445i
\(66\) 0.480266i 0.0591166i
\(67\) 2.10207 + 7.84504i 0.256809 + 0.958424i 0.967075 + 0.254491i \(0.0819079\pi\)
−0.710266 + 0.703933i \(0.751425\pi\)
\(68\) −4.87775 2.81617i −0.591514 0.341511i
\(69\) −4.19786 7.27090i −0.505363 0.875314i
\(70\) 1.80316 + 0.649930i 0.215519 + 0.0776815i
\(71\) −14.5933 3.91026i −1.73191 0.464063i −0.751286 0.659977i \(-0.770566\pi\)
−0.980621 + 0.195914i \(0.937233\pi\)
\(72\) −0.187794 + 0.700855i −0.0221317 + 0.0825966i
\(73\) 0.321617 0.321617i 0.0376425 0.0376425i −0.688035 0.725677i \(-0.741526\pi\)
0.725677 + 0.688035i \(0.241526\pi\)
\(74\) −0.641604 1.11129i −0.0745850 0.129185i
\(75\) 5.34226 9.25307i 0.616871 1.06845i
\(76\) −1.49399 5.57566i −0.171373 0.639572i
\(77\) 2.95530 + 6.28635i 0.336787 + 0.716396i
\(78\) 0.654136 0.0843000i 0.0740663 0.00954510i
\(79\) 0.280448 0.0315529 0.0157764 0.999876i \(-0.494978\pi\)
0.0157764 + 0.999876i \(0.494978\pi\)
\(80\) 14.5379 3.89543i 1.62539 0.435522i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −0.264276 0.457739i −0.0291844 0.0505488i
\(83\) −2.42973 2.42973i −0.266698 0.266698i 0.561070 0.827768i \(-0.310390\pi\)
−0.827768 + 0.561070i \(0.810390\pi\)
\(84\) 0.919475 + 5.12108i 0.100323 + 0.558756i
\(85\) 2.93575 10.9564i 0.318426 1.18838i
\(86\) −0.363136 0.363136i −0.0391580 0.0391580i
\(87\) −2.87760 + 1.66138i −0.308511 + 0.178119i
\(88\) −1.64977 0.952496i −0.175866 0.101536i
\(89\) 0.0536096 + 0.200074i 0.00568261 + 0.0212078i 0.968709 0.248200i \(-0.0798389\pi\)
−0.963026 + 0.269407i \(0.913172\pi\)
\(90\) −0.724450 −0.0763638
\(91\) 8.04346 5.12863i 0.843183 0.537626i
\(92\) 16.5105 1.72134
\(93\) 2.47084 + 9.22129i 0.256214 + 0.956203i
\(94\) −1.08829 0.628324i −0.112249 0.0648067i
\(95\) 10.0674 5.81240i 1.03289 0.596340i
\(96\) −1.51769 1.51769i −0.154899 0.154899i
\(97\) 0.197356 0.736543i 0.0200385 0.0747847i −0.955183 0.296017i \(-0.904341\pi\)
0.975221 + 0.221233i \(0.0710080\pi\)
\(98\) −0.740984 1.04430i −0.0748506 0.105490i
\(99\) −1.85649 1.85649i −0.186585 0.186585i
\(100\) 10.5058 + 18.1965i 1.05058 + 1.81965i
\(101\) 0.682084 1.18140i 0.0678699 0.117554i −0.830094 0.557624i \(-0.811713\pi\)
0.897963 + 0.440070i \(0.145046\pi\)
\(102\) −0.506062 + 0.135599i −0.0501076 + 0.0134263i
\(103\) −4.43543 −0.437036 −0.218518 0.975833i \(-0.570122\pi\)
−0.218518 + 0.975833i \(0.570122\pi\)
\(104\) −1.00775 + 2.41423i −0.0988177 + 0.236734i
\(105\) −9.48256 + 4.45788i −0.925403 + 0.435044i
\(106\) −0.257203 0.959895i −0.0249818 0.0932333i
\(107\) −1.81150 + 3.13761i −0.175124 + 0.303324i −0.940204 0.340611i \(-0.889366\pi\)
0.765080 + 0.643935i \(0.222699\pi\)
\(108\) −0.983269 1.70307i −0.0946151 0.163878i
\(109\) 11.1249 11.1249i 1.06557 1.06557i 0.0678792 0.997694i \(-0.478377\pi\)
0.997694 0.0678792i \(-0.0216232\pi\)
\(110\) 0.492281 1.83722i 0.0469372 0.175172i
\(111\) 6.77592 + 1.81560i 0.643142 + 0.172329i
\(112\) −9.45909 3.40943i −0.893800 0.322161i
\(113\) −2.74763 4.75903i −0.258475 0.447692i 0.707358 0.706855i \(-0.249887\pi\)
−0.965834 + 0.259163i \(0.916553\pi\)
\(114\) −0.465001 0.268468i −0.0435513 0.0251444i
\(115\) 8.60577 + 32.1172i 0.802492 + 2.99494i
\(116\) 6.53434i 0.606698i
\(117\) −2.20273 + 2.85447i −0.203643 + 0.263895i
\(118\) 0.00126238i 0.000116211i
\(119\) −5.78960 + 4.88893i −0.530732 + 0.448167i
\(120\) 1.43678 2.48858i 0.131159 0.227175i
\(121\) −3.55665 + 2.05343i −0.323331 + 0.186675i
\(122\) 0.844571 + 0.844571i 0.0764638 + 0.0764638i
\(123\) 2.79099 + 0.747843i 0.251655 + 0.0674307i
\(124\) −18.1340 4.85900i −1.62848 0.436351i
\(125\) −15.9190 + 15.9190i −1.42383 + 1.42383i
\(126\) 0.397313 + 0.276357i 0.0353954 + 0.0246199i
\(127\) 8.80555 + 5.08389i 0.781367 + 0.451122i 0.836914 0.547334i \(-0.184357\pi\)
−0.0555478 + 0.998456i \(0.517691\pi\)
\(128\) 5.42001 1.45229i 0.479066 0.128365i
\(129\) 2.80745 0.247182
\(130\) −2.58875 0.348018i −0.227049 0.0305232i
\(131\) 19.5230i 1.70573i 0.522129 + 0.852867i \(0.325138\pi\)
−0.522129 + 0.852867i \(0.674862\pi\)
\(132\) 4.98718 1.33631i 0.434078 0.116311i
\(133\) −7.73855 0.652704i −0.671018 0.0565966i
\(134\) −1.28663 + 0.742838i −0.111148 + 0.0641715i
\(135\) 2.80040 2.80040i 0.241020 0.241020i
\(136\) 0.537858 2.00731i 0.0461209 0.172126i
\(137\) −3.09421 + 11.5477i −0.264356 + 0.986590i 0.698287 + 0.715818i \(0.253946\pi\)
−0.962643 + 0.270773i \(0.912721\pi\)
\(138\) 1.08596 1.08596i 0.0924435 0.0924435i
\(139\) 14.4291 8.33062i 1.22386 0.706594i 0.258119 0.966113i \(-0.416897\pi\)
0.965738 + 0.259519i \(0.0835640\pi\)
\(140\) 1.73183 20.5328i 0.146366 1.73534i
\(141\) 6.63567 1.77802i 0.558824 0.149736i
\(142\) 2.76365i 0.231920i
\(143\) −5.74217 7.52585i −0.480184 0.629343i
\(144\) 3.80035 0.316696
\(145\) 12.7110 3.40589i 1.05559 0.282844i
\(146\) 0.0720540 + 0.0416004i 0.00596323 + 0.00344287i
\(147\) 6.90111 + 1.17248i 0.569194 + 0.0967046i
\(148\) −9.75465 + 9.75465i −0.801827 + 0.801827i
\(149\) 14.7603 + 3.95502i 1.20921 + 0.324008i 0.806454 0.591297i \(-0.201384\pi\)
0.402761 + 0.915305i \(0.368051\pi\)
\(150\) 1.88787 + 0.505853i 0.154144 + 0.0413027i
\(151\) −7.50367 7.50367i −0.610640 0.610640i 0.332473 0.943113i \(-0.392117\pi\)
−0.943113 + 0.332473i \(0.892117\pi\)
\(152\) 1.84444 1.06489i 0.149604 0.0863740i
\(153\) 1.43204 2.48037i 0.115774 0.200526i
\(154\) −0.970831 + 0.819801i −0.0782318 + 0.0660614i
\(155\) 37.8080i 3.03681i
\(156\) −2.69548 6.55812i −0.215811 0.525070i
\(157\) 13.4871i 1.07639i −0.842820 0.538195i \(-0.819106\pi\)
0.842820 0.538195i \(-0.180894\pi\)
\(158\) 0.0132777 + 0.0495530i 0.00105632 + 0.00394222i
\(159\) 4.70476 + 2.71630i 0.373112 + 0.215416i
\(160\) 4.25014 + 7.36146i 0.336003 + 0.581975i
\(161\) 7.53210 20.8970i 0.593612 1.64691i
\(162\) −0.176692 0.0473445i −0.0138822 0.00371973i
\(163\) −1.07320 + 4.00525i −0.0840598 + 0.313716i −0.995134 0.0985258i \(-0.968587\pi\)
0.911075 + 0.412241i \(0.135254\pi\)
\(164\) −4.01792 + 4.01792i −0.313747 + 0.313747i
\(165\) 5.19893 + 9.00481i 0.404736 + 0.701024i
\(166\) 0.314280 0.544349i 0.0243928 0.0422496i
\(167\) 3.62497 + 13.5286i 0.280508 + 1.04687i 0.952059 + 0.305913i \(0.0989618\pi\)
−0.671551 + 0.740958i \(0.734372\pi\)
\(168\) −1.73730 + 0.816727i −0.134036 + 0.0630119i
\(169\) −9.24251 + 9.14199i −0.710962 + 0.703230i
\(170\) 2.07489 0.159137
\(171\) 2.83527 0.759707i 0.216818 0.0580963i
\(172\) −2.76048 + 4.78129i −0.210484 + 0.364570i
\(173\) −7.63123 13.2177i −0.580192 1.00492i −0.995456 0.0952206i \(-0.969644\pi\)
0.415265 0.909701i \(-0.363689\pi\)
\(174\) −0.429791 0.429791i −0.0325824 0.0325824i
\(175\) 27.8237 4.99566i 2.10327 0.377636i
\(176\) −2.58243 + 9.63776i −0.194658 + 0.726473i
\(177\) 0.00487979 + 0.00487979i 0.000366788 + 0.000366788i
\(178\) −0.0328133 + 0.0189448i −0.00245946 + 0.00141997i
\(179\) 6.94881 + 4.01190i 0.519379 + 0.299863i 0.736680 0.676241i \(-0.236392\pi\)
−0.217302 + 0.976104i \(0.569726\pi\)
\(180\) 2.01574 + 7.52284i 0.150244 + 0.560719i
\(181\) 9.08130 0.675008 0.337504 0.941324i \(-0.390417\pi\)
0.337504 + 0.941324i \(0.390417\pi\)
\(182\) 1.28700 + 1.17840i 0.0953988 + 0.0873489i
\(183\) −6.52947 −0.482672
\(184\) 1.57666 + 5.88418i 0.116233 + 0.433788i
\(185\) −24.0597 13.8909i −1.76891 1.02128i
\(186\) −1.51235 + 0.873154i −0.110891 + 0.0640228i
\(187\) 5.31717 + 5.31717i 0.388830 + 0.388830i
\(188\) −3.49655 + 13.0493i −0.255012 + 0.951718i
\(189\) −2.60411 + 0.467560i −0.189421 + 0.0340100i
\(190\) 1.50364 + 1.50364i 0.109085 + 0.109085i
\(191\) −10.2571 17.7658i −0.742179 1.28549i −0.951501 0.307645i \(-0.900459\pi\)
0.209323 0.977847i \(-0.432874\pi\)
\(192\) −3.60404 + 6.24238i −0.260099 + 0.450505i
\(193\) 14.0081 3.75346i 1.00832 0.270180i 0.283396 0.959003i \(-0.408539\pi\)
0.724929 + 0.688823i \(0.241872\pi\)
\(194\) 0.139485 0.0100144
\(195\) 11.3523 8.66169i 0.812952 0.620277i
\(196\) −8.78247 + 10.6002i −0.627319 + 0.757159i
\(197\) 4.65346 + 17.3669i 0.331545 + 1.23734i 0.907567 + 0.419908i \(0.137938\pi\)
−0.576022 + 0.817434i \(0.695396\pi\)
\(198\) 0.240133 0.415922i 0.0170655 0.0295583i
\(199\) 1.63893 + 2.83871i 0.116181 + 0.201231i 0.918251 0.395999i \(-0.129601\pi\)
−0.802070 + 0.597230i \(0.796268\pi\)
\(200\) −5.48182 + 5.48182i −0.387623 + 0.387623i
\(201\) 2.10207 7.84504i 0.148269 0.553346i
\(202\) 0.241037 + 0.0645858i 0.0169593 + 0.00454424i
\(203\) −8.27037 2.98097i −0.580466 0.209223i
\(204\) 2.81617 + 4.87775i 0.197171 + 0.341511i
\(205\) −9.91015 5.72163i −0.692155 0.399616i
\(206\) −0.209993 0.783706i −0.0146309 0.0546034i
\(207\) 8.39572i 0.583543i
\(208\) 13.5802 + 1.82565i 0.941617 + 0.126586i
\(209\) 7.70652i 0.533071i
\(210\) −1.23662 1.46444i −0.0853347 0.101056i
\(211\) 12.5254 21.6946i 0.862283 1.49352i −0.00743594 0.999972i \(-0.502367\pi\)
0.869719 0.493546i \(-0.164300\pi\)
\(212\) −9.25209 + 5.34170i −0.635436 + 0.366869i
\(213\) 10.6830 + 10.6830i 0.731990 + 0.731990i
\(214\) −0.640155 0.171529i −0.0437601 0.0117255i
\(215\) −10.7397 2.87769i −0.732440 0.196257i
\(216\) 0.513062 0.513062i 0.0349094 0.0349094i
\(217\) −14.4227 + 20.7352i −0.979075 + 1.40759i
\(218\) 2.49238 + 1.43898i 0.168806 + 0.0974599i
\(219\) −0.439338 + 0.117720i −0.0296877 + 0.00795479i
\(220\) −20.4478 −1.37859
\(221\) 6.30882 8.17544i 0.424377 0.549940i
\(222\) 1.28321i 0.0861233i
\(223\) 9.63125 2.58069i 0.644956 0.172816i 0.0785089 0.996913i \(-0.474984\pi\)
0.566447 + 0.824098i \(0.308317\pi\)
\(224\) 0.477270 5.65858i 0.0318889 0.378080i
\(225\) −9.25307 + 5.34226i −0.616871 + 0.356151i
\(226\) 0.710798 0.710798i 0.0472816 0.0472816i
\(227\) 4.05289 15.1256i 0.269000 1.00392i −0.690757 0.723087i \(-0.742722\pi\)
0.959757 0.280833i \(-0.0906108\pi\)
\(228\) −1.49399 + 5.57566i −0.0989421 + 0.369257i
\(229\) −1.59130 + 1.59130i −0.105156 + 0.105156i −0.757727 0.652571i \(-0.773690\pi\)
0.652571 + 0.757727i \(0.273690\pi\)
\(230\) −5.26741 + 3.04114i −0.347323 + 0.200527i
\(231\) 0.583814 6.92179i 0.0384122 0.455420i
\(232\) 2.32878 0.623994i 0.152892 0.0409672i
\(233\) 8.49682i 0.556645i −0.960488 0.278323i \(-0.910222\pi\)
0.960488 0.278323i \(-0.0897784\pi\)
\(234\) −0.608648 0.254062i −0.0397886 0.0166085i
\(235\) −27.2067 −1.77477
\(236\) −0.0131088 + 0.00351249i −0.000853310 + 0.000228644i
\(237\) −0.242875 0.140224i −0.0157764 0.00910854i
\(238\) −1.13794 0.791512i −0.0737617 0.0513061i
\(239\) −6.87958 + 6.87958i −0.445003 + 0.445003i −0.893689 0.448686i \(-0.851892\pi\)
0.448686 + 0.893689i \(0.351892\pi\)
\(240\) −14.5379 3.89543i −0.938420 0.251449i
\(241\) 19.8128 + 5.30883i 1.27626 + 0.341972i 0.832424 0.554139i \(-0.186952\pi\)
0.443831 + 0.896110i \(0.353619\pi\)
\(242\) −0.531212 0.531212i −0.0341476 0.0341476i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 6.42023 11.1202i 0.411013 0.711895i
\(245\) −25.1978 11.5590i −1.60983 0.738477i
\(246\) 0.528551i 0.0336992i
\(247\) 10.4965 1.35271i 0.667877 0.0860709i
\(248\) 6.92680i 0.439852i
\(249\) 0.889344 + 3.31908i 0.0563599 + 0.210338i
\(250\) −3.56642 2.05908i −0.225561 0.130227i
\(251\) 4.35546 + 7.54388i 0.274914 + 0.476165i 0.970113 0.242652i \(-0.0780172\pi\)
−0.695199 + 0.718817i \(0.744684\pi\)
\(252\) 1.76425 4.89472i 0.111137 0.308339i
\(253\) −21.2917 5.70509i −1.33860 0.358676i
\(254\) −0.481388 + 1.79656i −0.0302050 + 0.112726i
\(255\) −8.02061 + 8.02061i −0.502270 + 0.502270i
\(256\) −6.69487 11.5958i −0.418429 0.724741i
\(257\) 6.96099 12.0568i 0.434215 0.752082i −0.563016 0.826446i \(-0.690359\pi\)
0.997231 + 0.0743637i \(0.0236926\pi\)
\(258\) 0.132917 + 0.496054i 0.00827506 + 0.0308829i
\(259\) 7.89617 + 16.7963i 0.490644 + 1.04367i
\(260\) 3.58916 + 27.8505i 0.222590 + 1.72721i
\(261\) 3.32276 0.205674
\(262\) −3.44956 + 0.924307i −0.213114 + 0.0571039i
\(263\) −5.34924 + 9.26516i −0.329848 + 0.571314i −0.982482 0.186360i \(-0.940331\pi\)
0.652633 + 0.757674i \(0.273664\pi\)
\(264\) 0.952496 + 1.64977i 0.0586221 + 0.101536i
\(265\) −15.2134 15.2134i −0.934555 0.934555i
\(266\) −0.251050 1.39824i −0.0153929 0.0857317i
\(267\) 0.0536096 0.200074i 0.00328086 0.0122443i
\(268\) 11.2938 + 11.2938i 0.689877 + 0.689877i
\(269\) 7.98188 4.60834i 0.486664 0.280976i −0.236526 0.971625i \(-0.576009\pi\)
0.723189 + 0.690650i \(0.242675\pi\)
\(270\) 0.627392 + 0.362225i 0.0381819 + 0.0220443i
\(271\) −0.262832 0.980903i −0.0159659 0.0595856i 0.957483 0.288489i \(-0.0931528\pi\)
−0.973449 + 0.228903i \(0.926486\pi\)
\(272\) −10.8845 −0.659972
\(273\) −9.53015 + 0.419795i −0.576791 + 0.0254071i
\(274\) −2.18689 −0.132115
\(275\) −7.26039 27.0961i −0.437818 1.63396i
\(276\) −14.2985 8.25525i −0.860669 0.496908i
\(277\) 0.795438 0.459247i 0.0477933 0.0275935i −0.475913 0.879492i \(-0.657882\pi\)
0.523706 + 0.851899i \(0.324549\pi\)
\(278\) 2.15509 + 2.15509i 0.129254 + 0.129254i
\(279\) 2.47084 9.22129i 0.147925 0.552064i
\(280\) 7.48307 1.34356i 0.447199 0.0802932i
\(281\) 3.41893 + 3.41893i 0.203956 + 0.203956i 0.801693 0.597737i \(-0.203933\pi\)
−0.597737 + 0.801693i \(0.703933\pi\)
\(282\) 0.628324 + 1.08829i 0.0374162 + 0.0648067i
\(283\) 7.94500 13.7611i 0.472281 0.818015i −0.527216 0.849731i \(-0.676764\pi\)
0.999497 + 0.0317167i \(0.0100974\pi\)
\(284\) −28.6983 + 7.68968i −1.70293 + 0.456299i
\(285\) −11.6248 −0.688594
\(286\) 1.05790 1.37090i 0.0625547 0.0810631i
\(287\) 3.25242 + 6.91838i 0.191984 + 0.408379i
\(288\) 0.555513 + 2.07320i 0.0327339 + 0.122165i
\(289\) 4.39849 7.61842i 0.258735 0.448142i
\(290\) 1.20359 + 2.08468i 0.0706771 + 0.122416i
\(291\) −0.539187 + 0.539187i −0.0316077 + 0.0316077i
\(292\) 0.231501 0.863974i 0.0135476 0.0505603i
\(293\) −14.2807 3.82651i −0.834288 0.223547i −0.183705 0.982981i \(-0.558809\pi\)
−0.650584 + 0.759435i \(0.725476\pi\)
\(294\) 0.119561 + 1.27488i 0.00697296 + 0.0743526i
\(295\) −0.0136654 0.0236692i −0.000795630 0.00137807i
\(296\) −4.40798 2.54495i −0.256209 0.147922i
\(297\) 0.679524 + 2.53602i 0.0394300 + 0.147155i
\(298\) 2.79528i 0.161926i
\(299\) −4.03321 + 30.0013i −0.233247 + 1.73502i
\(300\) 21.0115i 1.21310i
\(301\) 4.79224 + 5.67510i 0.276220 + 0.327107i
\(302\) 0.970581 1.68110i 0.0558506 0.0967362i
\(303\) −1.18140 + 0.682084i −0.0678699 + 0.0391847i
\(304\) −7.88785 7.88785i −0.452399 0.452399i
\(305\) 24.9780 + 6.69283i 1.43024 + 0.383230i
\(306\) 0.506062 + 0.135599i 0.0289296 + 0.00775167i
\(307\) −11.9699 + 11.9699i −0.683157 + 0.683157i −0.960710 0.277553i \(-0.910477\pi\)
0.277553 + 0.960710i \(0.410477\pi\)
\(308\) 11.2143 + 7.80026i 0.638992 + 0.444461i
\(309\) 3.84120 + 2.21772i 0.218518 + 0.126162i
\(310\) 6.68037 1.79000i 0.379419 0.101665i
\(311\) 22.3022 1.26464 0.632322 0.774706i \(-0.282102\pi\)
0.632322 + 0.774706i \(0.282102\pi\)
\(312\) 2.07985 1.58691i 0.117748 0.0898410i
\(313\) 21.7630i 1.23012i 0.788481 + 0.615059i \(0.210868\pi\)
−0.788481 + 0.615059i \(0.789132\pi\)
\(314\) 2.38307 0.638541i 0.134484 0.0360349i
\(315\) 10.4411 + 0.880647i 0.588288 + 0.0496188i
\(316\) 0.477624 0.275756i 0.0268684 0.0155125i
\(317\) 3.88719 3.88719i 0.218327 0.218327i −0.589466 0.807793i \(-0.700662\pi\)
0.807793 + 0.589466i \(0.200662\pi\)
\(318\) −0.257203 + 0.959895i −0.0144232 + 0.0538282i
\(319\) −2.25790 + 8.42659i −0.126418 + 0.471798i
\(320\) 20.1855 20.1855i 1.12841 1.12841i
\(321\) 3.13761 1.81150i 0.175124 0.101108i
\(322\) 4.04893 + 0.341505i 0.225638 + 0.0190313i
\(323\) −8.12046 + 2.17587i −0.451834 + 0.121069i
\(324\) 1.96654i 0.109252i
\(325\) −35.6313 + 14.6450i −1.97647 + 0.812358i
\(326\) −0.758506 −0.0420098
\(327\) −15.1969 + 4.07200i −0.840391 + 0.225182i
\(328\) −1.81564 1.04826i −0.100252 0.0578804i
\(329\) 14.9211 + 10.3786i 0.822626 + 0.572191i
\(330\) −1.34494 + 1.34494i −0.0740364 + 0.0740364i
\(331\) −17.6440 4.72770i −0.969802 0.259858i −0.261058 0.965323i \(-0.584071\pi\)
−0.708744 + 0.705466i \(0.750738\pi\)
\(332\) −6.52709 1.74893i −0.358221 0.0959849i
\(333\) −4.96032 4.96032i −0.271824 0.271824i
\(334\) −2.21877 + 1.28101i −0.121406 + 0.0700935i
\(335\) −16.0826 + 27.8559i −0.878688 + 1.52193i
\(336\) 6.48710 + 7.68220i 0.353900 + 0.419098i
\(337\) 12.4905i 0.680402i 0.940353 + 0.340201i \(0.110495\pi\)
−0.940353 + 0.340201i \(0.889505\pi\)
\(338\) −2.05290 1.20025i −0.111663 0.0652852i
\(339\) 5.49526i 0.298462i
\(340\) −5.77326 21.5461i −0.313099 1.16850i
\(341\) 21.7064 + 12.5322i 1.17547 + 0.678655i
\(342\) 0.268468 + 0.465001i 0.0145171 + 0.0251444i
\(343\) 9.40990 + 15.9516i 0.508087 + 0.861306i
\(344\) −1.96762 0.527221i −0.106087 0.0284258i
\(345\) 8.60577 32.1172i 0.463319 1.72913i
\(346\) 1.97416 1.97416i 0.106132 0.106132i
\(347\) −2.70509 4.68534i −0.145217 0.251522i 0.784237 0.620461i \(-0.213055\pi\)
−0.929454 + 0.368939i \(0.879721\pi\)
\(348\) −3.26717 + 5.65891i −0.175139 + 0.303349i
\(349\) −1.60376 5.98531i −0.0858472 0.320386i 0.909626 0.415428i \(-0.136368\pi\)
−0.995473 + 0.0950418i \(0.969702\pi\)
\(350\) 2.19999 + 4.67970i 0.117594 + 0.250141i
\(351\) 3.33485 1.37067i 0.178001 0.0731611i
\(352\) −5.63516 −0.300355
\(353\) 34.1022 9.13766i 1.81508 0.486348i 0.818918 0.573911i \(-0.194575\pi\)
0.996159 + 0.0875628i \(0.0279078\pi\)
\(354\) −0.000631189 0.00109325i −3.35473e−5 5.81057e-5i
\(355\) −29.9168 51.8175i −1.58782 2.75019i
\(356\) 0.288028 + 0.288028i 0.0152654 + 0.0152654i
\(357\) 7.45840 1.33913i 0.394741 0.0708745i
\(358\) −0.379882 + 1.41774i −0.0200774 + 0.0749299i
\(359\) 7.81387 + 7.81387i 0.412400 + 0.412400i 0.882574 0.470174i \(-0.155809\pi\)
−0.470174 + 0.882574i \(0.655809\pi\)
\(360\) −2.48858 + 1.43678i −0.131159 + 0.0757250i
\(361\) 8.99290 + 5.19206i 0.473311 + 0.273266i
\(362\) 0.429949 + 1.60459i 0.0225976 + 0.0843355i
\(363\) 4.10686 0.215554
\(364\) 8.65576 16.6433i 0.453685 0.872346i
\(365\) 1.80132 0.0942852
\(366\) −0.309134 1.15371i −0.0161587 0.0603051i
\(367\) 19.4308 + 11.2184i 1.01428 + 0.585593i 0.912441 0.409208i \(-0.134195\pi\)
0.101836 + 0.994801i \(0.467528\pi\)
\(368\) 27.6320 15.9533i 1.44042 0.831625i
\(369\) −2.04314 2.04314i −0.106362 0.106362i
\(370\) 1.31531 4.90882i 0.0683799 0.255197i
\(371\) 2.54006 + 14.1471i 0.131873 + 0.734479i
\(372\) 13.2750 + 13.2750i 0.688278 + 0.688278i
\(373\) −3.45623 5.98637i −0.178957 0.309962i 0.762567 0.646910i \(-0.223939\pi\)
−0.941523 + 0.336947i \(0.890606\pi\)
\(374\) −0.687762 + 1.19124i −0.0355633 + 0.0615975i
\(375\) 21.7457 5.82674i 1.12294 0.300892i
\(376\) −4.98455 −0.257058
\(377\) 11.8736 + 1.59622i 0.611520 + 0.0822095i
\(378\) −0.205904 0.437989i −0.0105906 0.0225277i
\(379\) 2.16569 + 8.08246i 0.111244 + 0.415168i 0.998979 0.0451875i \(-0.0143885\pi\)
−0.887735 + 0.460356i \(0.847722\pi\)
\(380\) 11.4303 19.7979i 0.586363 1.01561i
\(381\) −5.08389 8.80555i −0.260456 0.451122i
\(382\) 2.65346 2.65346i 0.135763 0.135763i
\(383\) −0.572661 + 2.13720i −0.0292616 + 0.109206i −0.979012 0.203802i \(-0.934670\pi\)
0.949750 + 0.313008i \(0.101337\pi\)
\(384\) −5.42001 1.45229i −0.276589 0.0741118i
\(385\) −9.32830 + 25.8803i −0.475414 + 1.31898i
\(386\) 1.32641 + 2.29741i 0.0675126 + 0.116935i
\(387\) −2.43132 1.40372i −0.123591 0.0713553i
\(388\) −0.388109 1.44844i −0.0197032 0.0735334i
\(389\) 24.7852i 1.25666i 0.777946 + 0.628331i \(0.216262\pi\)
−0.777946 + 0.628331i \(0.783738\pi\)
\(390\) 2.06792 + 1.59577i 0.104713 + 0.0808050i
\(391\) 24.0461i 1.21606i
\(392\) −4.61649 2.11772i −0.233168 0.106961i
\(393\) 9.76151 16.9074i 0.492403 0.852867i
\(394\) −2.84828 + 1.64446i −0.143494 + 0.0828465i
\(395\) 0.785368 + 0.785368i 0.0395162 + 0.0395162i
\(396\) −4.98718 1.33631i −0.250615 0.0671521i
\(397\) 11.9456 + 3.20082i 0.599534 + 0.160645i 0.545807 0.837911i \(-0.316223\pi\)
0.0537271 + 0.998556i \(0.482890\pi\)
\(398\) −0.423983 + 0.423983i −0.0212524 + 0.0212524i
\(399\) 6.37543 + 4.43453i 0.319171 + 0.222004i
\(400\) 35.1649 + 20.3025i 1.75824 + 1.01512i
\(401\) −27.4395 + 7.35239i −1.37026 + 0.367161i −0.867575 0.497307i \(-0.834322\pi\)
−0.502688 + 0.864468i \(0.667656\pi\)
\(402\) 1.48568 0.0740988
\(403\) 13.2591 31.7644i 0.660484 1.58230i
\(404\) 2.68269i 0.133469i
\(405\) −3.82542 + 1.02502i −0.190087 + 0.0509336i
\(406\) 0.135157 1.60244i 0.00670773 0.0795278i
\(407\) 15.9501 9.20880i 0.790617 0.456463i
\(408\) −1.46946 + 1.46946i −0.0727489 + 0.0727489i
\(409\) −8.06083 + 30.0834i −0.398583 + 1.48753i 0.417009 + 0.908902i \(0.363078\pi\)
−0.815592 + 0.578628i \(0.803588\pi\)
\(410\) 0.541775 2.02193i 0.0267564 0.0998561i
\(411\) 8.45353 8.45353i 0.416982 0.416982i
\(412\) −7.55386 + 4.36123i −0.372152 + 0.214862i
\(413\) −0.00153456 + 0.0181939i −7.55105e−5 + 0.000895264i
\(414\) −1.48346 + 0.397491i −0.0729079 + 0.0195356i
\(415\) 13.6085i 0.668013i
\(416\) 0.989128 + 7.67525i 0.0484960 + 0.376310i
\(417\) −16.6612 −0.815905
\(418\) −1.36168 + 0.364861i −0.0666020 + 0.0178460i
\(419\) −15.4180 8.90159i −0.753219 0.434871i 0.0736368 0.997285i \(-0.476539\pi\)
−0.826856 + 0.562414i \(0.809873\pi\)
\(420\) −11.7662 + 16.9160i −0.574132 + 0.825416i
\(421\) −7.27536 + 7.27536i −0.354579 + 0.354579i −0.861810 0.507231i \(-0.830669\pi\)
0.507231 + 0.861810i \(0.330669\pi\)
\(422\) 4.42627 + 1.18602i 0.215468 + 0.0577344i
\(423\) −6.63567 1.77802i −0.322637 0.0864504i
\(424\) −2.78725 2.78725i −0.135361 0.135361i
\(425\) 26.5016 15.3007i 1.28552 0.742194i
\(426\) −1.38182 + 2.39339i −0.0669496 + 0.115960i
\(427\) −11.1456 13.1990i −0.539375 0.638743i
\(428\) 7.12477i 0.344389i
\(429\) 1.20994 + 9.38866i 0.0584164 + 0.453289i
\(430\) 2.03386i 0.0980813i
\(431\) −5.92484 22.1118i −0.285389 1.06509i −0.948554 0.316615i \(-0.897454\pi\)
0.663165 0.748473i \(-0.269213\pi\)
\(432\) −3.29120 1.90018i −0.158348 0.0914222i
\(433\) 3.70820 + 6.42278i 0.178205 + 0.308659i 0.941266 0.337667i \(-0.109638\pi\)
−0.763061 + 0.646326i \(0.776304\pi\)
\(434\) −4.34657 1.56668i −0.208642 0.0752029i
\(435\) −12.7110 3.40589i −0.609444 0.163300i
\(436\) 8.00774 29.8853i 0.383501 1.43125i
\(437\) 17.4258 17.4258i 0.833589 0.833589i
\(438\) −0.0416004 0.0720540i −0.00198774 0.00344287i
\(439\) −18.4110 + 31.8888i −0.878709 + 1.52197i −0.0259510 + 0.999663i \(0.508261\pi\)
−0.852758 + 0.522306i \(0.825072\pi\)
\(440\) −1.95265 7.28740i −0.0930891 0.347413i
\(441\) −5.39029 4.46595i −0.256681 0.212664i
\(442\) 1.74322 + 0.727656i 0.0829167 + 0.0346111i
\(443\) 25.6906 1.22060 0.610298 0.792172i \(-0.291050\pi\)
0.610298 + 0.792172i \(0.291050\pi\)
\(444\) 13.3251 3.57045i 0.632381 0.169446i
\(445\) −0.410159 + 0.710416i −0.0194434 + 0.0336770i
\(446\) 0.911973 + 1.57958i 0.0431832 + 0.0747955i
\(447\) −10.8053 10.8053i −0.511074 0.511074i
\(448\) −18.7706 + 3.37021i −0.886829 + 0.159228i
\(449\) −1.26128 + 4.70715i −0.0595234 + 0.222144i −0.989280 0.146030i \(-0.953350\pi\)
0.929757 + 0.368174i \(0.120017\pi\)
\(450\) −1.38202 1.38202i −0.0651489 0.0651489i
\(451\) 6.56982 3.79308i 0.309361 0.178609i
\(452\) −9.35882 5.40332i −0.440202 0.254151i
\(453\) 2.74653 + 10.2502i 0.129043 + 0.481596i
\(454\) 2.86445 0.134435
\(455\) 36.8871 + 8.16269i 1.72930 + 0.382673i
\(456\) −2.12978 −0.0997361
\(457\) −1.32032 4.92751i −0.0617621 0.230499i 0.928145 0.372220i \(-0.121403\pi\)
−0.989907 + 0.141721i \(0.954737\pi\)
\(458\) −0.356509 0.205830i −0.0166586 0.00961783i
\(459\) −2.48037 + 1.43204i −0.115774 + 0.0668421i
\(460\) 46.2361 + 46.2361i 2.15577 + 2.15577i
\(461\) −2.21189 + 8.25490i −0.103018 + 0.384469i −0.998113 0.0614071i \(-0.980441\pi\)
0.895095 + 0.445876i \(0.147108\pi\)
\(462\) 1.25066 0.224553i 0.0581862 0.0104472i
\(463\) 0.176712 + 0.176712i 0.00821253 + 0.00821253i 0.711201 0.702989i \(-0.248152\pi\)
−0.702989 + 0.711201i \(0.748152\pi\)
\(464\) −6.31383 10.9359i −0.293112 0.507685i
\(465\) −18.9040 + 32.7427i −0.876652 + 1.51841i
\(466\) 1.50132 0.402277i 0.0695473 0.0186351i
\(467\) −23.3883 −1.08228 −0.541140 0.840932i \(-0.682007\pi\)
−0.541140 + 0.840932i \(0.682007\pi\)
\(468\) −0.944704 + 7.02724i −0.0436690 + 0.324834i
\(469\) 19.4465 9.14205i 0.897956 0.422141i
\(470\) −1.28809 4.80721i −0.0594151 0.221740i
\(471\) −6.74356 + 11.6802i −0.310727 + 0.538195i
\(472\) −0.00250364 0.00433642i −0.000115239 0.000199600i
\(473\) 5.21201 5.21201i 0.239648 0.239648i
\(474\) 0.0132777 0.0495530i 0.000609864 0.00227604i
\(475\) 30.2935 + 8.11711i 1.38996 + 0.372438i
\(476\) −5.05298 + 14.0189i −0.231603 + 0.642557i
\(477\) −2.71630 4.70476i −0.124371 0.215416i
\(478\) −1.54128 0.889857i −0.0704964 0.0407011i
\(479\) −8.63573 32.2290i −0.394577 1.47258i −0.822500 0.568765i \(-0.807421\pi\)
0.427924 0.903815i \(-0.359245\pi\)
\(480\) 8.50029i 0.387983i
\(481\) −15.3423 20.1081i −0.699550 0.916851i
\(482\) 3.75211i 0.170904i
\(483\) −16.9715 + 14.3313i −0.772229 + 0.652095i
\(484\) −4.03815 + 6.99428i −0.183552 + 0.317922i
\(485\) 2.61530 1.50994i 0.118754 0.0685629i
\(486\) 0.129347 + 0.129347i 0.00586732 + 0.00586732i
\(487\) −14.6137 3.91573i −0.662211 0.177439i −0.0879671 0.996123i \(-0.528037\pi\)
−0.574243 + 0.818685i \(0.694704\pi\)
\(488\) 4.57622 + 1.22619i 0.207156 + 0.0555072i
\(489\) 2.93205 2.93205i 0.132592 0.132592i
\(490\) 0.849404 4.99951i 0.0383722 0.225855i
\(491\) −11.7579 6.78843i −0.530627 0.306357i 0.210645 0.977563i \(-0.432444\pi\)
−0.741272 + 0.671205i \(0.765777\pi\)
\(492\) 5.48858 1.47066i 0.247444 0.0663025i
\(493\) −9.51669 −0.428610
\(494\) 0.735965 + 1.79061i 0.0331126 + 0.0805632i
\(495\) 10.3979i 0.467349i
\(496\) −35.0441 + 9.39005i −1.57353 + 0.421626i
\(497\) −3.35951 + 39.8308i −0.150695 + 1.78666i
\(498\) −0.544349 + 0.314280i −0.0243928 + 0.0140832i
\(499\) 9.45211 9.45211i 0.423135 0.423135i −0.463147 0.886282i \(-0.653280\pi\)
0.886282 + 0.463147i \(0.153280\pi\)
\(500\) −11.4585 + 42.7637i −0.512440 + 1.91245i
\(501\) 3.62497 13.5286i 0.161952 0.604412i
\(502\) −1.12674 + 1.12674i −0.0502887 + 0.0502887i
\(503\) 1.20476 0.695570i 0.0537177 0.0310140i −0.472901 0.881116i \(-0.656793\pi\)
0.526618 + 0.850102i \(0.323460\pi\)
\(504\) 1.91291 + 0.161343i 0.0852078 + 0.00718680i
\(505\) 5.21852 1.39830i 0.232221 0.0622234i
\(506\) 4.03217i 0.179252i
\(507\) 12.5752 3.29594i 0.558486 0.146378i
\(508\) 19.9953 0.887149
\(509\) −22.4834 + 6.02441i −0.996559 + 0.267027i −0.720003 0.693971i \(-0.755860\pi\)
−0.276556 + 0.960998i \(0.589193\pi\)
\(510\) −1.79691 1.03745i −0.0795684 0.0459389i
\(511\) −0.987902 0.687152i −0.0437022 0.0303978i
\(512\) 9.66738 9.66738i 0.427242 0.427242i
\(513\) −2.83527 0.759707i −0.125180 0.0335419i
\(514\) 2.45990 + 0.659129i 0.108502 + 0.0290729i
\(515\) −12.4210 12.4210i −0.547335 0.547335i
\(516\) 4.78129 2.76048i 0.210484 0.121523i
\(517\) 9.01819 15.6200i 0.396620 0.686965i
\(518\) −2.59394 + 2.19040i −0.113971 + 0.0962408i
\(519\) 15.2625i 0.669947i
\(520\) −9.58291 + 3.93871i −0.420238 + 0.172724i
\(521\) 6.02463i 0.263944i 0.991253 + 0.131972i \(0.0421309\pi\)
−0.991253 + 0.131972i \(0.957869\pi\)
\(522\) 0.157314 + 0.587105i 0.00688547 + 0.0256969i
\(523\) 2.29311 + 1.32393i 0.100271 + 0.0578914i 0.549297 0.835627i \(-0.314896\pi\)
−0.449026 + 0.893519i \(0.648229\pi\)
\(524\) 19.1964 + 33.2491i 0.838598 + 1.45249i
\(525\) −26.5938 9.58547i −1.16065 0.418344i
\(526\) −1.89034 0.506514i −0.0824226 0.0220851i
\(527\) −7.07670 + 26.4106i −0.308266 + 1.15046i
\(528\) 7.05533 7.05533i 0.307044 0.307044i
\(529\) 23.7440 + 41.1258i 1.03235 + 1.78808i
\(530\) 1.96782 3.40837i 0.0854767 0.148050i
\(531\) −0.00178613 0.00666592i −7.75114e−5 0.000289276i
\(532\) −13.8211 + 6.49748i −0.599221 + 0.281701i
\(533\) −6.31948 8.28249i −0.273727 0.358754i
\(534\) 0.0378896 0.00163964
\(535\) −13.8595 + 3.71364i −0.599199 + 0.160555i
\(536\) −2.94650 + 5.10348i −0.127269 + 0.220437i
\(537\) −4.01190 6.94881i −0.173126 0.299863i
\(538\) 1.19215 + 1.19215i 0.0513974 + 0.0513974i
\(539\) 14.9886 10.6352i 0.645603 0.458089i
\(540\) 2.01574 7.52284i 0.0867436 0.323732i
\(541\) −22.5427 22.5427i −0.969185 0.969185i 0.0303542 0.999539i \(-0.490336\pi\)
−0.999539 + 0.0303542i \(0.990336\pi\)
\(542\) 0.160874 0.0928807i 0.00691013 0.00398957i
\(543\) −7.86464 4.54065i −0.337504 0.194858i
\(544\) −1.59104 5.93784i −0.0682152 0.254583i
\(545\) 62.3085 2.66900
\(546\) −0.525374 1.66403i −0.0224839 0.0712137i
\(547\) 24.3001 1.03900 0.519500 0.854471i \(-0.326118\pi\)
0.519500 + 0.854471i \(0.326118\pi\)
\(548\) 6.08488 + 22.7091i 0.259933 + 0.970084i
\(549\) 5.65469 + 3.26474i 0.241336 + 0.139336i
\(550\) 4.44393 2.56570i 0.189490 0.109402i
\(551\) −6.89659 6.89659i −0.293805 0.293805i
\(552\) 1.57666 5.88418i 0.0671072 0.250447i
\(553\) −0.131126 0.730318i −0.00557606 0.0310563i
\(554\) 0.118805 + 0.118805i 0.00504753 + 0.00504753i
\(555\) 13.8909 + 24.0597i 0.589635 + 1.02128i
\(556\) 16.3825 28.3753i 0.694772 1.20338i
\(557\) −4.94226 + 1.32427i −0.209410 + 0.0561113i −0.361999 0.932178i \(-0.617906\pi\)
0.152589 + 0.988290i \(0.451239\pi\)
\(558\) 1.74631 0.0739271
\(559\) −8.01376 6.18406i −0.338946 0.261558i
\(560\) −16.9415 36.0371i −0.715909 1.52284i
\(561\) −1.94622 7.26338i −0.0821694 0.306660i
\(562\) −0.442230 + 0.765964i −0.0186543 + 0.0323102i
\(563\) −10.0206 17.3563i −0.422320 0.731480i 0.573846 0.818963i \(-0.305451\pi\)
−0.996166 + 0.0874837i \(0.972117\pi\)
\(564\) 9.55275 9.55275i 0.402243 0.402243i
\(565\) 5.63274 21.0217i 0.236971 0.884389i
\(566\) 2.80763 + 0.752303i 0.118014 + 0.0316217i
\(567\) 2.48901 + 0.897136i 0.104528 + 0.0376762i
\(568\) −5.48106 9.49347i −0.229980 0.398337i
\(569\) −29.3938 16.9705i −1.23225 0.711441i −0.264754 0.964316i \(-0.585291\pi\)
−0.967499 + 0.252875i \(0.918624\pi\)
\(570\) −0.550370 2.05401i −0.0230525 0.0860330i
\(571\) 19.5735i 0.819124i −0.912282 0.409562i \(-0.865681\pi\)
0.912282 0.409562i \(-0.134319\pi\)
\(572\) −17.1793 7.17096i −0.718301 0.299833i
\(573\) 20.5142i 0.856994i
\(574\) −1.06844 + 0.902223i −0.0445957 + 0.0376581i
\(575\) −44.8521 + 77.6861i −1.87046 + 3.23973i
\(576\) 6.24238 3.60404i 0.260099 0.150168i
\(577\) −32.3003 32.3003i −1.34468 1.34468i −0.891335 0.453345i \(-0.850231\pi\)
−0.453345 0.891335i \(-0.649769\pi\)
\(578\) 1.55436 + 0.416489i 0.0646527 + 0.0173237i
\(579\) −14.0081 3.75346i −0.582157 0.155988i
\(580\) 18.2988 18.2988i 0.759816 0.759816i
\(581\) −5.19124 + 7.46334i −0.215369 + 0.309631i
\(582\) −0.120798 0.0697425i −0.00500722 0.00289092i
\(583\) 13.7771 3.69158i 0.570591 0.152889i
\(584\) 0.330019 0.0136563
\(585\) −14.1622 + 1.82512i −0.585535 + 0.0754592i
\(586\) 2.70445i 0.111720i
\(587\) −12.7987 + 3.42941i −0.528260 + 0.141547i −0.513084 0.858338i \(-0.671497\pi\)
−0.0151751 + 0.999885i \(0.504831\pi\)
\(588\) 12.9059 4.78883i 0.532232 0.197488i
\(589\) −24.2677 + 14.0110i −0.999933 + 0.577312i
\(590\) 0.00353517 0.00353517i 0.000145541 0.000145541i
\(591\) 4.65346 17.3669i 0.191418 0.714380i
\(592\) −6.89992 + 25.7509i −0.283585 + 1.05835i
\(593\) 28.9194 28.9194i 1.18758 1.18758i 0.209843 0.977735i \(-0.432705\pi\)
0.977735 0.209843i \(-0.0672954\pi\)
\(594\) −0.415922 + 0.240133i −0.0170655 + 0.00985277i
\(595\) −29.9042 2.52225i −1.22595 0.103402i
\(596\) 29.0268 7.77770i 1.18898 0.318587i
\(597\) 3.27786i 0.134154i
\(598\) −5.49194 + 0.707759i −0.224582 + 0.0289424i
\(599\) 10.2540 0.418967 0.209484 0.977812i \(-0.432822\pi\)
0.209484 + 0.977812i \(0.432822\pi\)
\(600\) 7.48830 2.00649i 0.305709 0.0819144i
\(601\) 27.4693 + 15.8594i 1.12050 + 0.646919i 0.941528 0.336936i \(-0.109390\pi\)
0.178969 + 0.983855i \(0.442724\pi\)
\(602\) −0.775859 + 1.11544i −0.0316216 + 0.0454617i
\(603\) −5.74297 + 5.74297i −0.233872 + 0.233872i
\(604\) −20.1574 5.40116i −0.820194 0.219770i
\(605\) −15.7105 4.20961i −0.638722 0.171145i
\(606\) −0.176452 0.176452i −0.00716786 0.00716786i
\(607\) −23.1914 + 13.3895i −0.941309 + 0.543465i −0.890370 0.455237i \(-0.849555\pi\)
−0.0509383 + 0.998702i \(0.516221\pi\)
\(608\) 3.15005 5.45605i 0.127752 0.221272i
\(609\) 5.67187 + 6.71678i 0.229836 + 0.272178i
\(610\) 4.73028i 0.191523i
\(611\) −22.8578 9.54130i −0.924727 0.386000i
\(612\) 5.63234i 0.227674i
\(613\) 8.17678 + 30.5162i 0.330257 + 1.23254i 0.908920 + 0.416970i \(0.136908\pi\)
−0.578663 + 0.815567i \(0.696425\pi\)
\(614\) −2.68169 1.54827i −0.108224 0.0624833i
\(615\) 5.72163 + 9.91015i 0.230718 + 0.399616i
\(616\) −1.70904 + 4.74154i −0.0688591 + 0.191042i
\(617\) 35.9374 + 9.62939i 1.44678 + 0.387665i 0.894904 0.446259i \(-0.147244\pi\)
0.551880 + 0.833923i \(0.313911\pi\)
\(618\) −0.209993 + 0.783706i −0.00844717 + 0.0315253i
\(619\) 13.9520 13.9520i 0.560777 0.560777i −0.368751 0.929528i \(-0.620215\pi\)
0.929528 + 0.368751i \(0.120215\pi\)
\(620\) −37.1754 64.3897i −1.49300 2.58595i
\(621\) 4.19786 7.27090i 0.168454 0.291771i
\(622\) 1.05589 + 3.94062i 0.0423372 + 0.158005i
\(623\) 0.495949 0.233152i 0.0198698 0.00934104i
\(624\) −10.8480 8.37115i −0.434266 0.335114i
\(625\) −35.7364 −1.42945
\(626\) −3.84535 + 1.03036i −0.153691 + 0.0411814i
\(627\) 3.85326 6.67405i 0.153884 0.266536i
\(628\) −13.2615 22.9695i −0.529190 0.916585i
\(629\) 14.2068 + 14.2068i 0.566462 + 0.566462i
\(630\) 0.338724 + 1.88655i 0.0134951 + 0.0751619i
\(631\) −2.16532 + 8.08109i −0.0862001 + 0.321703i −0.995539 0.0943536i \(-0.969922\pi\)
0.909339 + 0.416057i \(0.136588\pi\)
\(632\) 0.143887 + 0.143887i 0.00572353 + 0.00572353i
\(633\) −21.6946 + 12.5254i −0.862283 + 0.497840i
\(634\) 0.870873 + 0.502799i 0.0345868 + 0.0199687i
\(635\) 10.4222 + 38.8960i 0.413591 + 1.54354i
\(636\) 10.6834 0.423624
\(637\) −17.1163 18.5481i −0.678173 0.734902i
\(638\) −1.59581 −0.0631787
\(639\) −3.91026 14.5933i −0.154688 0.577302i
\(640\) 19.2452 + 11.1112i 0.760734 + 0.439210i
\(641\) −19.7158 + 11.3829i −0.778726 + 0.449598i −0.835979 0.548762i \(-0.815099\pi\)
0.0572524 + 0.998360i \(0.481766\pi\)
\(642\) 0.468626 + 0.468626i 0.0184952 + 0.0184952i
\(643\) −3.68359 + 13.7474i −0.145267 + 0.542143i 0.854477 + 0.519490i \(0.173878\pi\)
−0.999743 + 0.0226531i \(0.992789\pi\)
\(644\) −7.71965 42.9951i −0.304197 1.69425i
\(645\) 7.86199 + 7.86199i 0.309565 + 0.309565i
\(646\) −0.768917 1.33180i −0.0302527 0.0523991i
\(647\) −22.6826 + 39.2874i −0.891744 + 1.54455i −0.0539612 + 0.998543i \(0.517185\pi\)
−0.837783 + 0.546003i \(0.816149\pi\)
\(648\) −0.700855 + 0.187794i −0.0275322 + 0.00737723i
\(649\) 0.0181186 0.000711218
\(650\) −4.27460 5.60241i −0.167663 0.219745i
\(651\) 22.8580 10.7458i 0.895875 0.421163i
\(652\) 2.11050 + 7.87648i 0.0826534 + 0.308467i
\(653\) 5.43437 9.41260i 0.212663 0.368344i −0.739884 0.672735i \(-0.765120\pi\)
0.952547 + 0.304391i \(0.0984529\pi\)
\(654\) −1.43898 2.49238i −0.0562685 0.0974599i
\(655\) −54.6723 + 54.6723i −2.13622 + 2.13622i
\(656\) −2.84206 + 10.6067i −0.110964 + 0.414123i
\(657\) 0.439338 + 0.117720i 0.0171402 + 0.00459270i
\(658\) −1.12738 + 3.12781i −0.0439500 + 0.121935i
\(659\) −4.13172 7.15635i −0.160949 0.278772i 0.774260 0.632867i \(-0.218122\pi\)
−0.935209 + 0.354096i \(0.884789\pi\)
\(660\) 17.7083 + 10.2239i 0.689295 + 0.397965i
\(661\) 0.844712 + 3.15251i 0.0328555 + 0.122618i 0.980406 0.196988i \(-0.0631160\pi\)
−0.947550 + 0.319606i \(0.896449\pi\)
\(662\) 3.34138i 0.129867i
\(663\) −9.55132 + 3.92573i −0.370943 + 0.152463i
\(664\) 2.49321i 0.0967552i
\(665\) −19.8432 23.4989i −0.769488 0.911248i
\(666\) 0.641604 1.11129i 0.0248617 0.0430617i
\(667\) 24.1595 13.9485i 0.935459 0.540088i
\(668\) 19.4758 + 19.4758i 0.753542 + 0.753542i
\(669\) −9.63125 2.58069i −0.372366 0.0997751i
\(670\) −5.68334 1.52285i −0.219567 0.0588327i
\(671\) −12.1219 + 12.1219i −0.467962 + 0.467962i
\(672\) −3.24262 + 4.66184i −0.125087 + 0.179834i
\(673\) −29.2655 16.8964i −1.12810 0.651310i −0.184645 0.982805i \(-0.559114\pi\)
−0.943457 + 0.331495i \(0.892447\pi\)
\(674\) −2.20697 + 0.591357i −0.0850095 + 0.0227782i
\(675\) 10.6845 0.411247
\(676\) −6.75162 + 24.6573i −0.259678 + 0.948360i
\(677\) 26.7526i 1.02819i 0.857734 + 0.514093i \(0.171871\pi\)
−0.857734 + 0.514093i \(0.828129\pi\)
\(678\) −0.970968 + 0.260170i −0.0372898 + 0.00999177i
\(679\) −2.01032 0.169559i −0.0771488 0.00650707i
\(680\) 7.12751 4.11507i 0.273327 0.157806i
\(681\) −11.0727 + 11.0727i −0.424307 + 0.424307i
\(682\) −1.18666 + 4.42867i −0.0454395 + 0.169583i
\(683\) −4.61892 + 17.2380i −0.176738 + 0.659595i 0.819511 + 0.573063i \(0.194245\pi\)
−0.996249 + 0.0865317i \(0.972422\pi\)
\(684\) 4.08167 4.08167i 0.156066 0.156066i
\(685\) −41.0034 + 23.6733i −1.56666 + 0.904511i
\(686\) −2.37301 + 2.41787i −0.0906021 + 0.0923149i
\(687\) 2.17375 0.582456i 0.0829339 0.0222221i
\(688\) 10.6693i 0.406763i
\(689\) −7.44631 18.1169i −0.283682 0.690199i
\(690\) 6.08228 0.231548
\(691\) 28.7650 7.70756i 1.09427 0.293209i 0.333842 0.942629i \(-0.391655\pi\)
0.760430 + 0.649420i \(0.224988\pi\)
\(692\) −25.9931 15.0071i −0.988108 0.570484i
\(693\) −3.96649 + 5.70254i −0.150675 + 0.216621i
\(694\) 0.699792 0.699792i 0.0265637 0.0265637i
\(695\) 63.7363 + 17.0781i 2.41766 + 0.647809i
\(696\) −2.32878 0.623994i −0.0882720 0.0236524i
\(697\) 5.85175 + 5.85175i 0.221651 + 0.221651i
\(698\) 0.981627 0.566743i 0.0371551 0.0214515i
\(699\) −4.24841 + 7.35846i −0.160690 + 0.278323i
\(700\) 42.4736 35.8661i 1.60535 1.35561i
\(701\) 23.3038i 0.880172i −0.897956 0.440086i \(-0.854948\pi\)
0.897956 0.440086i \(-0.145052\pi\)
\(702\) 0.400074 + 0.524348i 0.0150998 + 0.0197902i
\(703\) 20.5909i 0.776599i
\(704\) 4.89806 + 18.2798i 0.184603 + 0.688947i
\(705\) 23.5617 + 13.6034i 0.887386 + 0.512333i
\(706\) 3.22910 + 5.59297i 0.121529 + 0.210494i
\(707\) −3.39542 1.22384i −0.127698 0.0460274i
\(708\) 0.0131088 + 0.00351249i 0.000492659 + 0.000132007i
\(709\) 2.40630 8.98045i 0.0903706 0.337268i −0.905906 0.423478i \(-0.860809\pi\)
0.996277 + 0.0862104i \(0.0274757\pi\)
\(710\) 7.73933 7.73933i 0.290452 0.290452i
\(711\) 0.140224 + 0.242875i 0.00525882 + 0.00910854i
\(712\) −0.0751452 + 0.130155i −0.00281619 + 0.00487778i
\(713\) −20.7444 77.4193i −0.776886 2.89938i
\(714\) 0.589728 + 1.25444i 0.0220700 + 0.0469462i
\(715\) 4.99502 37.1558i 0.186803 1.38955i
\(716\) 15.7791 0.589693
\(717\) 9.39768 2.51810i 0.350963 0.0940402i
\(718\) −1.01070 + 1.75059i −0.0377191 + 0.0653315i
\(719\) 7.87045 + 13.6320i 0.293518 + 0.508388i 0.974639 0.223783i \(-0.0718405\pi\)
−0.681121 + 0.732171i \(0.738507\pi\)
\(720\) 10.6425 + 10.6425i 0.396623 + 0.396623i
\(721\) 2.07383 + 11.5504i 0.0772335 + 0.430158i
\(722\) −0.491630 + 1.83479i −0.0182966 + 0.0682838i
\(723\) −14.5040 14.5040i −0.539409 0.539409i
\(724\) 15.4661 8.92936i 0.574793 0.331857i
\(725\) 30.7457 + 17.7511i 1.14187 + 0.659258i
\(726\) 0.194437 + 0.725649i 0.00721624 + 0.0269314i
\(727\) 5.72068 0.212168 0.106084 0.994357i \(-0.466169\pi\)
0.106084 + 0.994357i \(0.466169\pi\)
\(728\) 6.75809 + 1.49549i 0.250472 + 0.0554264i
\(729\) −1.00000 −0.0370370
\(730\) 0.0852824 + 0.318278i 0.00315644 + 0.0117800i
\(731\) 6.96352 + 4.02039i 0.257555 + 0.148700i
\(732\) −11.1202 + 6.42023i −0.411013 + 0.237298i
\(733\) 12.5077 + 12.5077i 0.461982 + 0.461982i 0.899305 0.437322i \(-0.144073\pi\)
−0.437322 + 0.899305i \(0.644073\pi\)
\(734\) −1.06225 + 3.96439i −0.0392085 + 0.146328i
\(735\) 16.0425 + 22.6093i 0.591735 + 0.833957i
\(736\) 12.7421 + 12.7421i 0.469680 + 0.469680i
\(737\) −10.6618 18.4668i −0.392732 0.680232i
\(738\) 0.264276 0.457739i 0.00972812 0.0168496i
\(739\) 34.5884 9.26794i 1.27236 0.340927i 0.441423 0.897299i \(-0.354474\pi\)
0.830933 + 0.556372i \(0.187807\pi\)
\(740\) −54.6339 −2.00838
\(741\) −9.76660 4.07677i −0.358785 0.149764i
\(742\) −2.37941 + 1.11859i −0.0873510 + 0.0410649i
\(743\) −1.35076 5.04112i −0.0495547 0.184941i 0.936712 0.350101i \(-0.113853\pi\)
−0.986267 + 0.165160i \(0.947186\pi\)
\(744\) −3.46340 + 5.99879i −0.126974 + 0.219926i
\(745\) 30.2593 + 52.4106i 1.10861 + 1.92017i
\(746\) 0.894109 0.894109i 0.0327357 0.0327357i
\(747\) 0.889344 3.31908i 0.0325394 0.121439i
\(748\) 14.2837 + 3.82731i 0.522265 + 0.139940i
\(749\) 9.01766 + 3.25032i 0.329498 + 0.118764i
\(750\) 2.05908 + 3.56642i 0.0751868 + 0.130227i
\(751\) 24.9221 + 14.3888i 0.909421 + 0.525055i 0.880245 0.474520i \(-0.157378\pi\)
0.0291764 + 0.999574i \(0.490712\pi\)
\(752\) 6.75711 + 25.2179i 0.246406 + 0.919601i
\(753\) 8.71092i 0.317444i
\(754\) 0.280109 + 2.17354i 0.0102010 + 0.0791556i
\(755\) 42.0266i 1.52950i
\(756\) −3.97525 + 3.35683i −0.144578 + 0.122087i
\(757\) 8.90997 15.4325i 0.323838 0.560905i −0.657438 0.753508i \(-0.728360\pi\)
0.981277 + 0.192604i \(0.0616933\pi\)
\(758\) −1.32557 + 0.765320i −0.0481470 + 0.0277977i
\(759\) 15.5866 + 15.5866i 0.565758 + 0.565758i
\(760\) 8.14731 + 2.18306i 0.295534 + 0.0791881i
\(761\) −52.7426 14.1323i −1.91192 0.512296i −0.993044 0.117741i \(-0.962435\pi\)
−0.918872 0.394556i \(-0.870899\pi\)
\(762\) 1.31518 1.31518i 0.0476438 0.0476438i
\(763\) −34.1720 23.7689i −1.23711 0.860492i
\(764\) −34.9372 20.1710i −1.26398 0.729761i
\(765\) 10.9564 2.93575i 0.396128 0.106142i
\(766\) −0.404738 −0.0146238
\(767\) −0.00318032 0.0246781i −0.000114835 0.000891074i
\(768\) 13.3897i 0.483160i
\(769\) −23.1319 + 6.19819i −0.834159 + 0.223512i −0.650527 0.759483i \(-0.725452\pi\)
−0.183632 + 0.982995i \(0.558785\pi\)
\(770\) −5.01449 0.422944i −0.180710 0.0152419i
\(771\) −12.0568 + 6.96099i −0.434215 + 0.250694i
\(772\) 20.1661 20.1661i 0.725795 0.725795i
\(773\) 10.0708 37.5846i 0.362221 1.35183i −0.508929 0.860808