Properties

Label 576.2.bm.a.205.17
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.17
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.19825 + 0.751129i) q^{2} +(0.809513 - 1.53124i) q^{3} +(0.871611 - 1.80008i) q^{4} +(2.13241 + 2.43155i) q^{5} +(0.180157 + 2.44286i) q^{6} +(-3.26846 - 0.430301i) q^{7} +(0.307686 + 2.81164i) q^{8} +(-1.68938 - 2.47911i) q^{9} +O(q^{10})\) \(q+(-1.19825 + 0.751129i) q^{2} +(0.809513 - 1.53124i) q^{3} +(0.871611 - 1.80008i) q^{4} +(2.13241 + 2.43155i) q^{5} +(0.180157 + 2.44286i) q^{6} +(-3.26846 - 0.430301i) q^{7} +(0.307686 + 2.81164i) q^{8} +(-1.68938 - 2.47911i) q^{9} +(-4.38156 - 1.31189i) q^{10} +(-2.09356 - 4.24532i) q^{11} +(-2.05077 - 2.79183i) q^{12} +(-1.82497 - 5.37620i) q^{13} +(4.23965 - 1.93943i) q^{14} +(5.44949 - 1.29685i) q^{15} +(-2.48059 - 3.13794i) q^{16} +(0.816625 + 0.816625i) q^{17} +(3.88643 + 1.70166i) q^{18} +(-0.428672 + 2.15508i) q^{19} +(6.23561 - 1.71915i) q^{20} +(-3.30475 + 4.65645i) q^{21} +(5.69739 + 3.51443i) q^{22} +(-1.06407 - 8.08243i) q^{23} +(4.55437 + 1.80492i) q^{24} +(-0.712618 + 5.41287i) q^{25} +(6.22500 + 5.07125i) q^{26} +(-5.16369 + 0.579959i) q^{27} +(-3.62340 + 5.50844i) q^{28} +(5.53448 - 0.362749i) q^{29} +(-5.55575 + 5.64722i) q^{30} +(7.01027 - 4.04738i) q^{31} +(5.32937 + 1.89680i) q^{32} +(-8.19536 - 0.230906i) q^{33} +(-1.59191 - 0.365131i) q^{34} +(-5.92339 - 8.86498i) q^{35} +(-5.93509 + 0.880193i) q^{36} +(0.116858 + 0.587485i) q^{37} +(-1.10509 - 2.90431i) q^{38} +(-9.70958 - 1.55764i) q^{39} +(-6.18052 + 6.74372i) q^{40} +(0.609971 + 4.63319i) q^{41} +(0.462328 - 8.06190i) q^{42} +(-6.66329 + 3.28597i) q^{43} +(-9.46669 + 0.0683141i) q^{44} +(2.42564 - 9.39428i) q^{45} +(7.34597 + 8.88553i) q^{46} +(5.32188 - 1.42599i) q^{47} +(-6.81300 + 1.25817i) q^{48} +(3.73619 + 1.00111i) q^{49} +(-3.21187 - 7.02124i) q^{50} +(1.91152 - 0.589378i) q^{51} +(-11.2683 - 1.40085i) q^{52} +(4.17842 - 6.25344i) q^{53} +(5.75177 - 4.57353i) q^{54} +(5.85836 - 14.1433i) q^{55} +(0.204194 - 9.32213i) q^{56} +(2.95292 + 2.40096i) q^{57} +(-6.35923 + 4.59178i) q^{58} +(-5.90851 - 6.73736i) q^{59} +(2.41539 - 10.9399i) q^{60} +(0.257853 + 3.93408i) q^{61} +(-5.35996 + 10.1154i) q^{62} +(4.45489 + 8.82983i) q^{63} +(-7.81066 + 1.73020i) q^{64} +(9.18089 - 15.9018i) q^{65} +(9.99354 - 5.87909i) q^{66} +(-1.94284 - 0.958102i) q^{67} +(2.18177 - 0.758213i) q^{68} +(-13.2375 - 4.91349i) q^{69} +(13.7565 + 6.17324i) q^{70} +(5.13191 + 12.3895i) q^{71} +(6.45059 - 5.51271i) q^{72} +(-0.154951 + 0.374084i) q^{73} +(-0.581302 - 0.616179i) q^{74} +(7.71152 + 5.47298i) q^{75} +(3.50568 + 2.65003i) q^{76} +(5.01595 + 14.7765i) q^{77} +(12.8045 - 5.42671i) q^{78} +(-0.526366 - 1.96443i) q^{79} +(2.34042 - 12.7230i) q^{80} +(-3.29202 + 8.37631i) q^{81} +(-4.21102 - 5.09356i) q^{82} +(6.72068 + 5.89388i) q^{83} +(5.50154 + 10.0074i) q^{84} +(-0.244283 + 3.72704i) q^{85} +(5.51610 - 8.94240i) q^{86} +(3.92478 - 8.76826i) q^{87} +(11.2922 - 7.19257i) q^{88} +(-7.71250 + 3.19462i) q^{89} +(4.14979 + 13.0787i) q^{90} +(3.65147 + 18.3572i) q^{91} +(-15.4765 - 5.12932i) q^{92} +(-0.522594 - 14.0108i) q^{93} +(-5.30584 + 5.70612i) q^{94} +(-6.15427 + 3.55317i) q^{95} +(7.21864 - 6.62504i) q^{96} +(-3.40083 - 1.96347i) q^{97} +(-5.22885 + 1.60678i) q^{98} +(-6.98783 + 12.3621i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.19825 + 0.751129i −0.847291 + 0.531128i
\(3\) 0.809513 1.53124i 0.467373 0.884060i
\(4\) 0.871611 1.80008i 0.435805 0.900041i
\(5\) 2.13241 + 2.43155i 0.953642 + 1.08742i 0.996092 + 0.0883216i \(0.0281503\pi\)
−0.0424501 + 0.999099i \(0.513516\pi\)
\(6\) 0.180157 + 2.44286i 0.0735486 + 0.997292i
\(7\) −3.26846 0.430301i −1.23536 0.162638i −0.515581 0.856841i \(-0.672424\pi\)
−0.719780 + 0.694202i \(0.755757\pi\)
\(8\) 0.307686 + 2.81164i 0.108783 + 0.994065i
\(9\) −1.68938 2.47911i −0.563125 0.826371i
\(10\) −4.38156 1.31189i −1.38557 0.414855i
\(11\) −2.09356 4.24532i −0.631232 1.28001i −0.943926 0.330158i \(-0.892898\pi\)
0.312693 0.949854i \(-0.398769\pi\)
\(12\) −2.05077 2.79183i −0.592007 0.805933i
\(13\) −1.82497 5.37620i −0.506157 1.49109i −0.836893 0.547367i \(-0.815630\pi\)
0.330736 0.943723i \(-0.392703\pi\)
\(14\) 4.23965 1.93943i 1.13309 0.518333i
\(15\) 5.44949 1.29685i 1.40705 0.334846i
\(16\) −2.48059 3.13794i −0.620148 0.784485i
\(17\) 0.816625 + 0.816625i 0.198061 + 0.198061i 0.799168 0.601108i \(-0.205274\pi\)
−0.601108 + 0.799168i \(0.705274\pi\)
\(18\) 3.88643 + 1.70166i 0.916041 + 0.401086i
\(19\) −0.428672 + 2.15508i −0.0983440 + 0.494409i 0.899949 + 0.435996i \(0.143604\pi\)
−0.998293 + 0.0584126i \(0.981396\pi\)
\(20\) 6.23561 1.71915i 1.39432 0.384413i
\(21\) −3.30475 + 4.65645i −0.721157 + 1.01612i
\(22\) 5.69739 + 3.51443i 1.21469 + 0.749278i
\(23\) −1.06407 8.08243i −0.221874 1.68530i −0.633336 0.773877i \(-0.718315\pi\)
0.411462 0.911427i \(-0.365018\pi\)
\(24\) 4.55437 + 1.80492i 0.929656 + 0.368428i
\(25\) −0.712618 + 5.41287i −0.142524 + 1.08257i
\(26\) 6.22500 + 5.07125i 1.22082 + 0.994554i
\(27\) −5.16369 + 0.579959i −0.993752 + 0.111613i
\(28\) −3.62340 + 5.50844i −0.684758 + 1.04100i
\(29\) 5.53448 0.362749i 1.02773 0.0673608i 0.457800 0.889055i \(-0.348638\pi\)
0.569928 + 0.821695i \(0.306971\pi\)
\(30\) −5.55575 + 5.64722i −1.01434 + 1.03104i
\(31\) 7.01027 4.04738i 1.25908 0.726932i 0.286186 0.958174i \(-0.407612\pi\)
0.972896 + 0.231243i \(0.0742791\pi\)
\(32\) 5.32937 + 1.89680i 0.942108 + 0.335310i
\(33\) −8.19536 0.230906i −1.42663 0.0401956i
\(34\) −1.59191 0.365131i −0.273011 0.0626194i
\(35\) −5.92339 8.86498i −1.00124 1.49846i
\(36\) −5.93509 + 0.880193i −0.989181 + 0.146699i
\(37\) 0.116858 + 0.587485i 0.0192113 + 0.0965819i 0.989201 0.146563i \(-0.0468210\pi\)
−0.969990 + 0.243145i \(0.921821\pi\)
\(38\) −1.10509 2.90431i −0.179269 0.471142i
\(39\) −9.70958 1.55764i −1.55478 0.249422i
\(40\) −6.18052 + 6.74372i −0.977227 + 1.06628i
\(41\) 0.609971 + 4.63319i 0.0952615 + 0.723583i 0.970707 + 0.240266i \(0.0772347\pi\)
−0.875446 + 0.483317i \(0.839432\pi\)
\(42\) 0.462328 8.06190i 0.0713388 1.24398i
\(43\) −6.66329 + 3.28597i −1.01614 + 0.501106i −0.872547 0.488531i \(-0.837533\pi\)
−0.143595 + 0.989637i \(0.545866\pi\)
\(44\) −9.46669 + 0.0683141i −1.42716 + 0.0102987i
\(45\) 2.42564 9.39428i 0.361593 1.40042i
\(46\) 7.34597 + 8.88553i 1.08310 + 1.31010i
\(47\) 5.32188 1.42599i 0.776276 0.208003i 0.151134 0.988513i \(-0.451708\pi\)
0.625142 + 0.780511i \(0.285041\pi\)
\(48\) −6.81300 + 1.25817i −0.983372 + 0.181601i
\(49\) 3.73619 + 1.00111i 0.533741 + 0.143016i
\(50\) −3.21187 7.02124i −0.454227 0.992954i
\(51\) 1.91152 0.589378i 0.267666 0.0825294i
\(52\) −11.2683 1.40085i −1.56263 0.194263i
\(53\) 4.17842 6.25344i 0.573950 0.858976i −0.424981 0.905202i \(-0.639719\pi\)
0.998931 + 0.0462258i \(0.0147194\pi\)
\(54\) 5.75177 4.57353i 0.782716 0.622379i
\(55\) 5.85836 14.1433i 0.789942 1.90709i
\(56\) 0.204194 9.32213i 0.0272866 1.24572i
\(57\) 2.95292 + 2.40096i 0.391124 + 0.318015i
\(58\) −6.35923 + 4.59178i −0.835008 + 0.602930i
\(59\) −5.90851 6.73736i −0.769222 0.877130i 0.226064 0.974113i \(-0.427414\pi\)
−0.995286 + 0.0969826i \(0.969081\pi\)
\(60\) 2.41539 10.9399i 0.311825 1.41233i
\(61\) 0.257853 + 3.93408i 0.0330147 + 0.503707i 0.982060 + 0.188568i \(0.0603845\pi\)
−0.949045 + 0.315139i \(0.897949\pi\)
\(62\) −5.35996 + 10.1154i −0.680716 + 1.28466i
\(63\) 4.45489 + 8.82983i 0.561264 + 1.11245i
\(64\) −7.81066 + 1.73020i −0.976332 + 0.216275i
\(65\) 9.18089 15.9018i 1.13875 1.97237i
\(66\) 9.99354 5.87909i 1.23012 0.723666i
\(67\) −1.94284 0.958102i −0.237356 0.117051i 0.319722 0.947512i \(-0.396411\pi\)
−0.557077 + 0.830461i \(0.688077\pi\)
\(68\) 2.18177 0.758213i 0.264579 0.0919468i
\(69\) −13.2375 4.91349i −1.59361 0.591515i
\(70\) 13.7565 + 6.17324i 1.64421 + 0.737844i
\(71\) 5.13191 + 12.3895i 0.609046 + 1.47037i 0.864040 + 0.503424i \(0.167926\pi\)
−0.254994 + 0.966943i \(0.582074\pi\)
\(72\) 6.45059 5.51271i 0.760209 0.649679i
\(73\) −0.154951 + 0.374084i −0.0181356 + 0.0437832i −0.932688 0.360684i \(-0.882543\pi\)
0.914552 + 0.404468i \(0.132543\pi\)
\(74\) −0.581302 0.616179i −0.0675750 0.0716293i
\(75\) 7.71152 + 5.47298i 0.890449 + 0.631965i
\(76\) 3.50568 + 2.65003i 0.402129 + 0.303980i
\(77\) 5.01595 + 14.7765i 0.571621 + 1.68394i
\(78\) 12.8045 5.42671i 1.44982 0.614454i
\(79\) −0.526366 1.96443i −0.0592208 0.221015i 0.929973 0.367627i \(-0.119830\pi\)
−0.989194 + 0.146612i \(0.953163\pi\)
\(80\) 2.34042 12.7230i 0.261666 1.42248i
\(81\) −3.29202 + 8.37631i −0.365780 + 0.930701i
\(82\) −4.21102 5.09356i −0.465030 0.562489i
\(83\) 6.72068 + 5.89388i 0.737691 + 0.646937i 0.943393 0.331677i \(-0.107614\pi\)
−0.205702 + 0.978615i \(0.565948\pi\)
\(84\) 5.50154 + 10.0074i 0.600267 + 1.09190i
\(85\) −0.244283 + 3.72704i −0.0264962 + 0.404254i
\(86\) 5.51610 8.94240i 0.594817 0.964284i
\(87\) 3.92478 8.76826i 0.420781 0.940056i
\(88\) 11.2922 7.19257i 1.20375 0.766730i
\(89\) −7.71250 + 3.19462i −0.817524 + 0.338629i −0.751952 0.659218i \(-0.770887\pi\)
−0.0655723 + 0.997848i \(0.520887\pi\)
\(90\) 4.14979 + 13.0787i 0.437426 + 1.37861i
\(91\) 3.65147 + 18.3572i 0.382778 + 1.92436i
\(92\) −15.4765 5.12932i −1.61354 0.534768i
\(93\) −0.522594 14.0108i −0.0541905 1.45285i
\(94\) −5.30584 + 5.70612i −0.547256 + 0.588541i
\(95\) −6.15427 + 3.55317i −0.631415 + 0.364548i
\(96\) 7.21864 6.62504i 0.736750 0.676166i
\(97\) −3.40083 1.96347i −0.345302 0.199360i 0.317312 0.948321i \(-0.397220\pi\)
−0.662614 + 0.748961i \(0.730553\pi\)
\(98\) −5.22885 + 1.60678i −0.528194 + 0.162309i
\(99\) −6.98783 + 12.3621i −0.702303 + 1.24244i
\(100\) 9.12248 + 6.00068i 0.912248 + 0.600068i
\(101\) 3.28806 + 1.11615i 0.327175 + 0.111061i 0.480194 0.877162i \(-0.340566\pi\)
−0.153019 + 0.988223i \(0.548900\pi\)
\(102\) −1.84778 + 2.14202i −0.182957 + 0.212091i
\(103\) −6.02615 4.62403i −0.593775 0.455619i 0.267642 0.963518i \(-0.413756\pi\)
−0.861417 + 0.507899i \(0.830422\pi\)
\(104\) 14.5544 6.78536i 1.42718 0.665359i
\(105\) −18.3695 + 1.89380i −1.79268 + 0.184816i
\(106\) −0.309650 + 10.6317i −0.0300759 + 1.03264i
\(107\) −4.40069 2.94044i −0.425430 0.284264i 0.324367 0.945931i \(-0.394849\pi\)
−0.749797 + 0.661668i \(0.769849\pi\)
\(108\) −3.45675 + 9.80056i −0.332626 + 0.943059i
\(109\) 2.35526 11.8407i 0.225593 1.13413i −0.687438 0.726243i \(-0.741265\pi\)
0.913031 0.407890i \(-0.133735\pi\)
\(110\) 3.60368 + 21.3477i 0.343598 + 2.03542i
\(111\) 0.994176 + 0.296639i 0.0943631 + 0.0281558i
\(112\) 6.75745 + 11.3236i 0.638519 + 1.06998i
\(113\) −5.60028 1.50059i −0.526830 0.141164i −0.0144058 0.999896i \(-0.504586\pi\)
−0.512424 + 0.858733i \(0.671252\pi\)
\(114\) −5.34177 0.658932i −0.500303 0.0617146i
\(115\) 17.3838 19.8224i 1.62104 1.84845i
\(116\) 4.17094 10.2787i 0.387262 0.954353i
\(117\) −10.2452 + 13.6067i −0.947165 + 1.25794i
\(118\) 12.1405 + 3.63500i 1.11762 + 0.334629i
\(119\) −2.31771 3.02050i −0.212464 0.276889i
\(120\) 5.32302 + 14.9230i 0.485923 + 1.36228i
\(121\) −6.94338 + 9.04878i −0.631216 + 0.822617i
\(122\) −3.26397 4.52033i −0.295506 0.409251i
\(123\) 7.58830 + 2.81662i 0.684214 + 0.253966i
\(124\) −1.17539 16.1468i −0.105553 1.45003i
\(125\) −1.23584 + 0.825761i −0.110537 + 0.0738583i
\(126\) −11.9704 7.23415i −1.06641 0.644469i
\(127\) −12.0526 −1.06949 −0.534746 0.845013i \(-0.679593\pi\)
−0.534746 + 0.845013i \(0.679593\pi\)
\(128\) 8.05952 7.94003i 0.712368 0.701806i
\(129\) −0.362421 + 12.8631i −0.0319094 + 1.13253i
\(130\) 0.943268 + 25.9503i 0.0827301 + 2.27600i
\(131\) 8.67053 + 4.27583i 0.757548 + 0.373581i 0.779684 0.626174i \(-0.215380\pi\)
−0.0221356 + 0.999755i \(0.507047\pi\)
\(132\) −7.55881 + 14.5511i −0.657910 + 1.26651i
\(133\) 2.32843 6.85933i 0.201900 0.594779i
\(134\) 3.04767 0.311276i 0.263278 0.0268901i
\(135\) −12.4213 11.3190i −1.06905 0.974187i
\(136\) −2.04479 + 2.54732i −0.175340 + 0.218431i
\(137\) −2.21034 2.88057i −0.188842 0.246104i 0.689331 0.724446i \(-0.257904\pi\)
−0.878173 + 0.478343i \(0.841238\pi\)
\(138\) 19.5525 4.05548i 1.66442 0.345225i
\(139\) 4.88860 + 0.320416i 0.414646 + 0.0271773i 0.271299 0.962495i \(-0.412547\pi\)
0.143347 + 0.989673i \(0.454214\pi\)
\(140\) −21.1206 + 2.93578i −1.78502 + 0.248119i
\(141\) 2.12460 9.30343i 0.178924 0.783490i
\(142\) −15.4554 10.9910i −1.29699 0.922347i
\(143\) −19.0030 + 19.0030i −1.58911 + 1.58911i
\(144\) −3.58867 + 11.4508i −0.299055 + 0.954236i
\(145\) 12.6838 + 12.6838i 1.05333 + 1.05333i
\(146\) −0.0953155 0.564634i −0.00788837 0.0467295i
\(147\) 4.55743 4.91058i 0.375890 0.405018i
\(148\) 1.15938 + 0.301704i 0.0953000 + 0.0247999i
\(149\) −1.52151 + 23.2138i −0.124647 + 1.90175i 0.240269 + 0.970706i \(0.422764\pi\)
−0.364916 + 0.931040i \(0.618902\pi\)
\(150\) −13.3512 0.765658i −1.09012 0.0625158i
\(151\) 2.08948 1.60332i 0.170040 0.130476i −0.520236 0.854023i \(-0.674156\pi\)
0.690276 + 0.723547i \(0.257489\pi\)
\(152\) −6.19120 0.542185i −0.502173 0.0439770i
\(153\) 0.644920 3.40409i 0.0521387 0.275205i
\(154\) −17.1094 13.9384i −1.37872 1.12318i
\(155\) 24.7902 + 8.41513i 1.99119 + 0.675919i
\(156\) −11.2669 + 16.1204i −0.902070 + 1.29066i
\(157\) −6.39526 + 12.9683i −0.510397 + 1.03498i 0.477320 + 0.878730i \(0.341608\pi\)
−0.987717 + 0.156254i \(0.950058\pi\)
\(158\) 2.10626 + 1.95851i 0.167565 + 0.155810i
\(159\) −6.19302 11.4604i −0.491138 0.908868i
\(160\) 6.75224 + 17.0033i 0.533811 + 1.34423i
\(161\) 26.8750i 2.11804i
\(162\) −2.34703 12.5097i −0.184400 0.982851i
\(163\) −8.21465 12.2941i −0.643421 0.962948i −0.999593 0.0285276i \(-0.990918\pi\)
0.356172 0.934421i \(-0.384082\pi\)
\(164\) 8.87178 + 2.94034i 0.692770 + 0.229602i
\(165\) −16.9144 20.4198i −1.31678 1.58968i
\(166\) −12.4801 2.01425i −0.968646 0.156336i
\(167\) 17.7282 + 13.6033i 1.37185 + 1.05266i 0.991815 + 0.127685i \(0.0407547\pi\)
0.380035 + 0.924972i \(0.375912\pi\)
\(168\) −14.1091 7.85906i −1.08854 0.606340i
\(169\) −15.2594 + 11.7090i −1.17380 + 0.900690i
\(170\) −2.50677 4.64942i −0.192261 0.356594i
\(171\) 6.06687 2.57801i 0.463945 0.197145i
\(172\) 0.107223 + 14.8585i 0.00817568 + 1.13295i
\(173\) −0.202774 0.177828i −0.0154166 0.0135200i 0.651603 0.758560i \(-0.274097\pi\)
−0.667019 + 0.745040i \(0.732430\pi\)
\(174\) 1.88322 + 13.4546i 0.142766 + 1.01999i
\(175\) 4.65833 17.3851i 0.352136 1.31419i
\(176\) −8.12830 + 17.1004i −0.612694 + 1.28899i
\(177\) −15.0995 + 3.59334i −1.13495 + 0.270092i
\(178\) 6.84194 9.62105i 0.512825 0.721128i
\(179\) 17.4655 + 3.47410i 1.30543 + 0.259666i 0.798330 0.602221i \(-0.205717\pi\)
0.507101 + 0.861887i \(0.330717\pi\)
\(180\) −14.7963 12.5545i −1.10285 0.935757i
\(181\) 13.5288 20.2473i 1.00559 1.50497i 0.149087 0.988824i \(-0.452366\pi\)
0.856501 0.516145i \(-0.172634\pi\)
\(182\) −18.1640 19.2538i −1.34640 1.42719i
\(183\) 6.23274 + 2.78985i 0.460737 + 0.206232i
\(184\) 22.3975 5.47864i 1.65117 0.403891i
\(185\) −1.17931 + 1.53690i −0.0867043 + 0.112995i
\(186\) 11.1501 + 16.3959i 0.817566 + 1.20221i
\(187\) 1.75718 5.17649i 0.128498 0.378542i
\(188\) 2.07170 10.8227i 0.151094 0.789329i
\(189\) 17.1269 + 0.326365i 1.24580 + 0.0237395i
\(190\) 4.70547 8.88024i 0.341371 0.644241i
\(191\) −2.49397 + 4.31967i −0.180457 + 0.312561i −0.942036 0.335511i \(-0.891091\pi\)
0.761579 + 0.648072i \(0.224424\pi\)
\(192\) −3.67348 + 13.3606i −0.265111 + 0.964218i
\(193\) 1.24164 + 2.15058i 0.0893749 + 0.154802i 0.907247 0.420598i \(-0.138180\pi\)
−0.817872 + 0.575400i \(0.804846\pi\)
\(194\) 5.54987 0.201732i 0.398458 0.0144835i
\(195\) −16.9173 26.9308i −1.21147 1.92856i
\(196\) 5.05858 5.85287i 0.361327 0.418062i
\(197\) 18.2916 3.63842i 1.30322 0.259227i 0.505801 0.862650i \(-0.331197\pi\)
0.797421 + 0.603424i \(0.206197\pi\)
\(198\) −0.912378 20.0617i −0.0648399 1.42572i
\(199\) 1.89526 + 4.57556i 0.134351 + 0.324353i 0.976710 0.214565i \(-0.0688334\pi\)
−0.842358 + 0.538918i \(0.818833\pi\)
\(200\) −15.4383 0.338164i −1.09165 0.0239118i
\(201\) −3.03984 + 2.19935i −0.214414 + 0.155130i
\(202\) −4.77830 + 1.13234i −0.336200 + 0.0796708i
\(203\) −18.2453 1.19586i −1.28057 0.0839331i
\(204\) 0.605169 3.95459i 0.0423703 0.276877i
\(205\) −9.96511 + 11.3630i −0.695993 + 0.793628i
\(206\) 10.6941 + 1.01433i 0.745092 + 0.0706717i
\(207\) −18.2397 + 16.2922i −1.26774 + 1.13239i
\(208\) −12.3432 + 19.0628i −0.855846 + 1.32177i
\(209\) 10.0464 2.69194i 0.694927 0.186205i
\(210\) 20.5887 16.0671i 1.42076 1.10873i
\(211\) 10.4901 3.56093i 0.722172 0.245144i 0.0639336 0.997954i \(-0.479635\pi\)
0.658238 + 0.752810i \(0.271302\pi\)
\(212\) −7.61476 12.9721i −0.522984 0.890925i
\(213\) 23.1257 + 2.17132i 1.58454 + 0.148776i
\(214\) 7.48178 + 0.217908i 0.511444 + 0.0148959i
\(215\) −22.1988 9.19505i −1.51395 0.627098i
\(216\) −3.21943 14.3400i −0.219054 0.975713i
\(217\) −24.6544 + 10.2122i −1.67365 + 0.693248i
\(218\) 6.07170 + 15.9572i 0.411227 + 1.08076i
\(219\) 0.447377 + 0.540092i 0.0302309 + 0.0364960i
\(220\) −20.3530 22.8730i −1.37220 1.54210i
\(221\) 2.90002 5.88066i 0.195077 0.395576i
\(222\) −1.41409 + 0.391306i −0.0949073 + 0.0262628i
\(223\) 20.7892 + 12.0027i 1.39215 + 0.803758i 0.993553 0.113368i \(-0.0361638\pi\)
0.398597 + 0.917126i \(0.369497\pi\)
\(224\) −16.6026 8.49284i −1.10931 0.567452i
\(225\) 14.6230 7.37771i 0.974867 0.491847i
\(226\) 7.83767 2.40845i 0.521354 0.160208i
\(227\) 18.8133 1.23309i 1.24868 0.0818431i 0.573322 0.819330i \(-0.305654\pi\)
0.675362 + 0.737487i \(0.263988\pi\)
\(228\) 6.89573 3.22279i 0.456681 0.213435i
\(229\) 15.7267 13.7919i 1.03925 0.911395i 0.0430981 0.999071i \(-0.486277\pi\)
0.996149 + 0.0876755i \(0.0279439\pi\)
\(230\) −5.94094 + 36.8096i −0.391734 + 2.42716i
\(231\) 26.6868 + 4.28118i 1.75587 + 0.281681i
\(232\) 2.72280 + 15.4494i 0.178761 + 1.01430i
\(233\) −3.68447 1.52616i −0.241378 0.0999819i 0.258715 0.965954i \(-0.416701\pi\)
−0.500093 + 0.865972i \(0.666701\pi\)
\(234\) 2.05584 23.9997i 0.134394 1.56891i
\(235\) 14.8158 + 9.89960i 0.966476 + 0.645778i
\(236\) −17.2777 + 4.76344i −1.12468 + 0.310074i
\(237\) −3.43410 0.784237i −0.223069 0.0509417i
\(238\) 5.04598 + 1.87842i 0.327083 + 0.121760i
\(239\) 2.18070 8.13850i 0.141058 0.526436i −0.858841 0.512242i \(-0.828815\pi\)
0.999899 0.0141938i \(-0.00451818\pi\)
\(240\) −17.5874 13.8832i −1.13526 0.896157i
\(241\) −0.644704 2.40607i −0.0415290 0.154988i 0.942048 0.335479i \(-0.108898\pi\)
−0.983577 + 0.180491i \(0.942231\pi\)
\(242\) 1.52310 16.0581i 0.0979088 1.03225i
\(243\) 10.1612 + 11.8216i 0.651841 + 0.758356i
\(244\) 7.30641 + 2.96483i 0.467745 + 0.189804i
\(245\) 5.53284 + 11.2195i 0.353480 + 0.716786i
\(246\) −11.2083 + 2.32477i −0.714617 + 0.148222i
\(247\) 12.3685 1.62834i 0.786986 0.103609i
\(248\) 13.5368 + 18.4651i 0.859585 + 1.17253i
\(249\) 14.4654 5.51979i 0.916708 0.349802i
\(250\) 0.860592 1.91774i 0.0544286 0.121289i
\(251\) 15.7343 3.12974i 0.993139 0.197548i 0.328332 0.944562i \(-0.393514\pi\)
0.664807 + 0.747015i \(0.268514\pi\)
\(252\) 19.7773 0.323002i 1.24586 0.0203472i
\(253\) −32.0848 + 21.4384i −2.01716 + 1.34782i
\(254\) 14.4420 9.05304i 0.906172 0.568038i
\(255\) 5.50923 + 3.39114i 0.345001 + 0.212362i
\(256\) −3.69335 + 15.5679i −0.230834 + 0.972993i
\(257\) −5.94085 10.2899i −0.370580 0.641863i 0.619075 0.785332i \(-0.287508\pi\)
−0.989655 + 0.143469i \(0.954174\pi\)
\(258\) −9.22758 15.6855i −0.574484 0.976534i
\(259\) −0.129150 1.97045i −0.00802501 0.122438i
\(260\) −20.6223 30.3865i −1.27894 1.88449i
\(261\) −10.2491 13.1078i −0.634405 0.811352i
\(262\) −13.6012 + 1.38917i −0.840284 + 0.0858230i
\(263\) −25.5626 3.36538i −1.57626 0.207518i −0.708938 0.705271i \(-0.750825\pi\)
−0.867319 + 0.497753i \(0.834159\pi\)
\(264\) −1.87237 23.1135i −0.115236 1.42254i
\(265\) 24.1156 3.17488i 1.48141 0.195031i
\(266\) 2.36220 + 9.96814i 0.144836 + 0.611186i
\(267\) −1.35165 + 14.3958i −0.0827195 + 0.881007i
\(268\) −3.41806 + 2.66218i −0.208791 + 0.162618i
\(269\) 19.7297 + 3.92448i 1.20294 + 0.239280i 0.755570 0.655068i \(-0.227360\pi\)
0.447371 + 0.894348i \(0.352360\pi\)
\(270\) 23.3859 + 4.23305i 1.42322 + 0.257615i
\(271\) −2.74590 + 2.74590i −0.166801 + 0.166801i −0.785572 0.618771i \(-0.787631\pi\)
0.618771 + 0.785572i \(0.287631\pi\)
\(272\) 0.536809 4.58823i 0.0325488 0.278202i
\(273\) 31.0651 + 9.26912i 1.88015 + 0.560993i
\(274\) 4.81222 + 1.79139i 0.290717 + 0.108222i
\(275\) 24.4713 8.30688i 1.47567 0.500924i
\(276\) −20.3826 + 19.5459i −1.22689 + 1.17653i
\(277\) −16.4410 + 8.10781i −0.987845 + 0.487151i −0.863098 0.505037i \(-0.831479\pi\)
−0.124748 + 0.992189i \(0.539812\pi\)
\(278\) −6.09844 + 3.28803i −0.365760 + 0.197203i
\(279\) −21.8769 10.5417i −1.30974 0.631116i
\(280\) 23.1026 19.3821i 1.38065 1.15830i
\(281\) −1.05007 + 7.97608i −0.0626420 + 0.475813i 0.931157 + 0.364619i \(0.118801\pi\)
−0.993799 + 0.111194i \(0.964533\pi\)
\(282\) 4.44227 + 12.7437i 0.264533 + 0.758875i
\(283\) 5.31952 4.66509i 0.316213 0.277311i −0.486496 0.873683i \(-0.661725\pi\)
0.802708 + 0.596372i \(0.203392\pi\)
\(284\) 26.7752 + 1.56098i 1.58882 + 0.0926273i
\(285\) 0.458782 + 12.3000i 0.0271759 + 0.728589i
\(286\) 8.49666 37.0441i 0.502418 2.19046i
\(287\) 15.4059i 0.909380i
\(288\) −4.30093 16.4165i −0.253435 0.967353i
\(289\) 15.6662i 0.921544i
\(290\) −24.7256 5.67121i −1.45194 0.333025i
\(291\) −5.75956 + 3.61803i −0.337631 + 0.212092i
\(292\) 0.538325 + 0.604979i 0.0315031 + 0.0354037i
\(293\) 6.35681 5.57477i 0.371369 0.325682i −0.453236 0.891390i \(-0.649731\pi\)
0.824605 + 0.565709i \(0.191397\pi\)
\(294\) −1.77246 + 9.30732i −0.103372 + 0.542814i
\(295\) 3.78285 28.7336i 0.220246 1.67294i
\(296\) −1.61584 + 0.509323i −0.0939188 + 0.0296038i
\(297\) 13.2726 + 20.7073i 0.770154 + 1.20156i
\(298\) −15.6134 28.9588i −0.904459 1.67754i
\(299\) −41.5109 + 20.4709i −2.40064 + 1.18386i
\(300\) 16.5732 9.11105i 0.956857 0.526027i
\(301\) 23.1926 7.87284i 1.33680 0.453783i
\(302\) −1.29943 + 3.49064i −0.0747736 + 0.200864i
\(303\) 4.37082 4.13127i 0.251097 0.237335i
\(304\) 7.82587 4.00072i 0.448844 0.229457i
\(305\) −9.01604 + 9.01604i −0.516257 + 0.516257i
\(306\) 1.78414 + 4.56338i 0.101992 + 0.260871i
\(307\) −26.8077 5.33238i −1.53000 0.304335i −0.642910 0.765941i \(-0.722273\pi\)
−0.887085 + 0.461607i \(0.847273\pi\)
\(308\) 30.9709 + 3.85025i 1.76473 + 0.219388i
\(309\) −11.9587 + 5.48426i −0.680309 + 0.311989i
\(310\) −36.0257 + 8.53718i −2.04612 + 0.484879i
\(311\) −14.3347 + 1.88720i −0.812847 + 0.107013i −0.525479 0.850807i \(-0.676114\pi\)
−0.287369 + 0.957820i \(0.592780\pi\)
\(312\) 1.39202 27.7791i 0.0788078 1.57268i
\(313\) 4.52225 + 0.595366i 0.255613 + 0.0336521i 0.257244 0.966347i \(-0.417186\pi\)
−0.00163075 + 0.999999i \(0.500519\pi\)
\(314\) −2.07774 20.3430i −0.117254 1.14802i
\(315\) −11.9705 + 29.6611i −0.674460 + 1.67121i
\(316\) −3.99491 0.764712i −0.224731 0.0430184i
\(317\) −1.04852 15.9973i −0.0588905 0.898496i −0.920455 0.390848i \(-0.872182\pi\)
0.861565 0.507648i \(-0.169485\pi\)
\(318\) 16.0290 + 9.08067i 0.898863 + 0.509219i
\(319\) −13.1268 22.7362i −0.734958 1.27298i
\(320\) −20.8626 15.3025i −1.16625 0.855434i
\(321\) −8.06493 + 4.35817i −0.450141 + 0.243249i
\(322\) −20.1866 32.2030i −1.12495 1.79460i
\(323\) −2.10995 + 1.40983i −0.117401 + 0.0784448i
\(324\) 12.2087 + 13.2268i 0.678261 + 0.734821i
\(325\) 30.4012 6.04717i 1.68635 0.335437i
\(326\) 19.0777 + 8.56115i 1.05661 + 0.474158i
\(327\) −16.2243 13.1917i −0.897206 0.729501i
\(328\) −12.8392 + 3.14059i −0.708926 + 0.173410i
\(329\) −18.0080 + 2.37079i −0.992811 + 0.130706i
\(330\) 35.6056 + 11.7631i 1.96002 + 0.647539i
\(331\) 4.09285 + 8.29947i 0.224963 + 0.456180i 0.979866 0.199657i \(-0.0639826\pi\)
−0.754903 + 0.655837i \(0.772316\pi\)
\(332\) 16.4673 6.96061i 0.903760 0.382013i
\(333\) 1.25902 1.28219i 0.0689941 0.0702634i
\(334\) −31.4607 2.98403i −1.72145 0.163279i
\(335\) −1.81326 6.76717i −0.0990688 0.369730i
\(336\) 22.8094 1.18063i 1.24436 0.0644085i
\(337\) 7.33016 27.3565i 0.399299 1.49020i −0.415033 0.909806i \(-0.636230\pi\)
0.814333 0.580399i \(-0.197103\pi\)
\(338\) 9.48968 25.4921i 0.516170 1.38659i
\(339\) −6.83126 + 7.36061i −0.371023 + 0.399773i
\(340\) 6.49606 + 3.68826i 0.352298 + 0.200024i
\(341\) −31.8589 21.2874i −1.72525 1.15278i
\(342\) −5.33322 + 7.64611i −0.288387 + 0.413454i
\(343\) 9.53923 + 3.95128i 0.515070 + 0.213349i
\(344\) −11.2892 17.7237i −0.608671 0.955599i
\(345\) −16.2804 42.6652i −0.876506 2.29701i
\(346\) 0.376545 + 0.0607731i 0.0202432 + 0.00326718i
\(347\) 9.85387 8.64161i 0.528983 0.463906i −0.352707 0.935734i \(-0.614739\pi\)
0.881691 + 0.471828i \(0.156406\pi\)
\(348\) −12.3627 14.7074i −0.662710 0.788402i
\(349\) 13.9067 0.911494i 0.744410 0.0487912i 0.311522 0.950239i \(-0.399161\pi\)
0.432888 + 0.901448i \(0.357495\pi\)
\(350\) 7.47661 + 24.3307i 0.399642 + 1.30053i
\(351\) 12.5416 + 26.7026i 0.669420 + 1.42528i
\(352\) −3.10484 26.5959i −0.165489 1.41757i
\(353\) 6.65569 + 3.84266i 0.354247 + 0.204524i 0.666554 0.745457i \(-0.267769\pi\)
−0.312307 + 0.949981i \(0.601102\pi\)
\(354\) 15.3939 15.6474i 0.818179 0.831651i
\(355\) −19.1824 + 38.8980i −1.01809 + 2.06449i
\(356\) −0.971715 + 16.6676i −0.0515008 + 0.883381i
\(357\) −6.50132 + 1.10383i −0.344086 + 0.0584209i
\(358\) −23.5375 + 8.95598i −1.24400 + 0.473338i
\(359\) −19.7329 + 8.17362i −1.04146 + 0.431387i −0.836836 0.547453i \(-0.815597\pi\)
−0.204625 + 0.978840i \(0.565597\pi\)
\(360\) 27.1597 + 3.92955i 1.43144 + 0.207105i
\(361\) 13.0931 + 5.42334i 0.689111 + 0.285439i
\(362\) −1.00258 + 34.4232i −0.0526944 + 1.80924i
\(363\) 8.23508 + 17.9571i 0.432230 + 0.942502i
\(364\) 36.2271 + 9.42737i 1.89882 + 0.494128i
\(365\) −1.24002 + 0.420930i −0.0649056 + 0.0220325i
\(366\) −9.56393 + 1.33865i −0.499915 + 0.0699722i
\(367\) 10.7779 2.88794i 0.562603 0.150749i 0.0337012 0.999432i \(-0.489271\pi\)
0.528902 + 0.848683i \(0.322604\pi\)
\(368\) −22.7227 + 23.3882i −1.18450 + 1.21919i
\(369\) 10.4557 9.33939i 0.544304 0.486189i
\(370\) 0.258693 2.72741i 0.0134488 0.141791i
\(371\) −16.3478 + 18.6411i −0.848738 + 0.967800i
\(372\) −25.6761 11.2713i −1.33124 0.584387i
\(373\) −17.9717 1.17792i −0.930537 0.0609906i −0.407410 0.913245i \(-0.633568\pi\)
−0.523127 + 0.852255i \(0.675235\pi\)
\(374\) 1.78267 + 7.52260i 0.0921795 + 0.388985i
\(375\) 0.264008 + 2.56083i 0.0136333 + 0.132241i
\(376\) 5.64685 + 14.5245i 0.291214 + 0.749042i
\(377\) −12.0505 29.0925i −0.620633 1.49834i
\(378\) −20.7674 + 12.4734i −1.06816 + 0.641563i
\(379\) 13.5640 2.69804i 0.696734 0.138589i 0.165998 0.986126i \(-0.446916\pi\)
0.530736 + 0.847537i \(0.321916\pi\)
\(380\) 1.03187 + 14.1752i 0.0529338 + 0.727171i
\(381\) −9.75672 + 18.4554i −0.499852 + 0.945496i
\(382\) −0.256236 7.04934i −0.0131102 0.360676i
\(383\) −7.90326 13.6888i −0.403838 0.699467i 0.590348 0.807149i \(-0.298991\pi\)
−0.994185 + 0.107682i \(0.965657\pi\)
\(384\) −5.63378 18.7686i −0.287498 0.957781i
\(385\) −25.2337 + 43.7061i −1.28603 + 2.22747i
\(386\) −3.10315 1.64430i −0.157946 0.0836927i
\(387\) 19.4031 + 10.9678i 0.986314 + 0.557525i
\(388\) −6.49861 + 4.41040i −0.329917 + 0.223904i
\(389\) 11.0953 32.6856i 0.562552 1.65722i −0.177068 0.984199i \(-0.556661\pi\)
0.739620 0.673025i \(-0.235005\pi\)
\(390\) 40.4997 + 19.5628i 2.05078 + 0.990600i
\(391\) 5.73137 7.46926i 0.289848 0.377737i
\(392\) −1.66519 + 10.8128i −0.0841047 + 0.546131i
\(393\) 13.5662 9.81530i 0.684326 0.495116i
\(394\) −19.1850 + 18.0991i −0.966525 + 0.911818i
\(395\) 3.65416 5.46884i 0.183861 0.275167i
\(396\) 16.1622 + 23.3536i 0.812179 + 1.17356i
\(397\) −3.83597 0.763022i −0.192522 0.0382950i 0.0978874 0.995197i \(-0.468791\pi\)
−0.290409 + 0.956902i \(0.593791\pi\)
\(398\) −5.70783 4.05908i −0.286108 0.203463i
\(399\) −8.61836 9.11809i −0.431458 0.456476i
\(400\) 18.7530 11.1910i 0.937649 0.559548i
\(401\) 4.94608 18.4590i 0.246996 0.921800i −0.725374 0.688355i \(-0.758333\pi\)
0.972370 0.233445i \(-0.0750000\pi\)
\(402\) 1.99049 4.91869i 0.0992767 0.245322i
\(403\) −34.5531 30.3023i −1.72121 1.50946i
\(404\) 4.87507 4.94594i 0.242544 0.246070i
\(405\) −27.3873 + 9.85703i −1.36089 + 0.489800i
\(406\) 22.7607 12.2717i 1.12960 0.609032i
\(407\) 2.24941 1.72603i 0.111499 0.0855563i
\(408\) 2.24527 + 5.19315i 0.111157 + 0.257099i
\(409\) −20.3627 15.6249i −1.00687 0.772600i −0.0329434 0.999457i \(-0.510488\pi\)
−0.973928 + 0.226858i \(0.927155\pi\)
\(410\) 3.40560 21.1008i 0.168191 1.04210i
\(411\) −6.20013 + 1.05269i −0.305830 + 0.0519255i
\(412\) −13.5761 + 6.81722i −0.668846 + 0.335860i
\(413\) 16.4126 + 24.5632i 0.807613 + 1.20868i
\(414\) 9.61812 33.2225i 0.472705 1.63280i
\(415\) 28.9098i 1.41913i
\(416\) 0.471606 32.1134i 0.0231224 1.57449i
\(417\) 4.44802 7.22622i 0.217820 0.353870i
\(418\) −10.0162 + 10.7718i −0.489907 + 0.526866i
\(419\) −17.1044 + 34.6844i −0.835607 + 1.69444i −0.123531 + 0.992341i \(0.539422\pi\)
−0.712076 + 0.702103i \(0.752245\pi\)
\(420\) −12.6020 + 34.7172i −0.614916 + 1.69403i
\(421\) 14.4737 + 4.91317i 0.705406 + 0.239453i 0.651013 0.759067i \(-0.274344\pi\)
0.0543930 + 0.998520i \(0.482678\pi\)
\(422\) −9.89511 + 12.1463i −0.481687 + 0.591274i
\(423\) −12.5259 10.7845i −0.609028 0.524361i
\(424\) 18.8681 + 9.82412i 0.916315 + 0.477101i
\(425\) −5.00223 + 3.83834i −0.242644 + 0.186187i
\(426\) −29.3413 + 14.7686i −1.42159 + 0.715539i
\(427\) 0.850055 12.9693i 0.0411370 0.627630i
\(428\) −9.12873 + 5.35867i −0.441254 + 0.259021i
\(429\) 13.7149 + 44.4813i 0.662163 + 2.14758i
\(430\) 33.5064 5.65620i 1.61582 0.272766i
\(431\) 6.89675 + 6.89675i 0.332205 + 0.332205i 0.853423 0.521218i \(-0.174522\pi\)
−0.521218 + 0.853423i \(0.674522\pi\)
\(432\) 14.6289 + 14.7647i 0.703832 + 0.710367i
\(433\) −1.91580 + 1.91580i −0.0920677 + 0.0920677i −0.751641 0.659573i \(-0.770737\pi\)
0.659573 + 0.751641i \(0.270737\pi\)
\(434\) 21.8715 30.7554i 1.04986 1.47631i
\(435\) 29.6897 9.15422i 1.42351 0.438911i
\(436\) −19.2614 14.5601i −0.922452 0.697305i
\(437\) 17.8744 + 1.17155i 0.855049 + 0.0560429i
\(438\) −0.941748 0.311128i −0.0449985 0.0148663i
\(439\) 12.5530 + 16.3594i 0.599124 + 0.780793i 0.990214 0.139559i \(-0.0445686\pi\)
−0.391090 + 0.920352i \(0.627902\pi\)
\(440\) 41.5685 + 12.1199i 1.98170 + 0.577795i
\(441\) −3.82996 10.9537i −0.182379 0.521604i
\(442\) 0.942182 + 9.22480i 0.0448150 + 0.438779i
\(443\) −8.33925 + 24.5666i −0.396210 + 1.16720i 0.547610 + 0.836734i \(0.315538\pi\)
−0.943819 + 0.330462i \(0.892796\pi\)
\(444\) 1.40051 1.53105i 0.0664653 0.0726602i
\(445\) −24.2141 11.9411i −1.14786 0.566061i
\(446\) −33.9263 + 1.23319i −1.60646 + 0.0583930i
\(447\) 34.3141 + 21.1217i 1.62300 + 0.999020i
\(448\) 26.2733 2.29416i 1.24130 0.108389i
\(449\) 18.0598 0.852296 0.426148 0.904653i \(-0.359870\pi\)
0.426148 + 0.904653i \(0.359870\pi\)
\(450\) −11.9804 + 19.8241i −0.564762 + 0.934518i
\(451\) 18.3924 12.2894i 0.866063 0.578685i
\(452\) −7.58244 + 8.77303i −0.356648 + 0.412648i
\(453\) −0.763593 4.49740i −0.0358767 0.211306i
\(454\) −21.6169 + 15.6088i −1.01453 + 0.732556i
\(455\) −36.8499 + 48.0237i −1.72755 + 2.25139i
\(456\) −5.84208 + 9.04130i −0.273580 + 0.423397i
\(457\) 13.1904 + 17.1901i 0.617022 + 0.804119i 0.992439 0.122737i \(-0.0391672\pi\)
−0.375417 + 0.926856i \(0.622501\pi\)
\(458\) −8.48498 + 28.3389i −0.396477 + 1.32419i
\(459\) −4.69040 3.74319i −0.218929 0.174717i
\(460\) −20.5300 48.5696i −0.957218 2.26457i
\(461\) −1.87318 + 2.13595i −0.0872426 + 0.0994811i −0.793814 0.608161i \(-0.791908\pi\)
0.706571 + 0.707642i \(0.250241\pi\)
\(462\) −35.1932 + 14.9153i −1.63734 + 0.693924i
\(463\) 12.3508 + 3.30940i 0.573992 + 0.153801i 0.534127 0.845404i \(-0.320641\pi\)
0.0398651 + 0.999205i \(0.487307\pi\)
\(464\) −14.8671 16.4671i −0.690186 0.764464i
\(465\) 32.9535 31.1475i 1.52818 1.44443i
\(466\) 5.56126 0.938792i 0.257620 0.0434887i
\(467\) −0.898027 + 4.51469i −0.0415557 + 0.208915i −0.995985 0.0895233i \(-0.971466\pi\)
0.954429 + 0.298438i \(0.0964656\pi\)
\(468\) 15.5635 + 30.3019i 0.719422 + 1.40071i
\(469\) 5.93782 + 3.96752i 0.274183 + 0.183203i
\(470\) −25.1889 0.733629i −1.16188 0.0338398i
\(471\) 14.6805 + 20.2907i 0.676442 + 0.934945i
\(472\) 17.1251 18.6856i 0.788246 0.860074i
\(473\) 27.9000 + 21.4084i 1.28284 + 0.984360i
\(474\) 4.70398 1.63974i 0.216061 0.0753158i
\(475\) −11.3597 3.85609i −0.521218 0.176930i
\(476\) −7.45729 + 1.53937i −0.341804 + 0.0705569i
\(477\) −22.5619 + 0.205643i −1.03304 + 0.00941573i
\(478\) 3.50003 + 11.3900i 0.160088 + 0.520964i
\(479\) −10.2884 5.94004i −0.470091 0.271407i 0.246187 0.969222i \(-0.420822\pi\)
−0.716278 + 0.697815i \(0.754156\pi\)
\(480\) 31.5022 + 3.42516i 1.43787 + 0.156336i
\(481\) 2.94517 1.70040i 0.134288 0.0775314i
\(482\) 2.57978 + 2.39882i 0.117506 + 0.109263i
\(483\) 41.1520 + 21.7557i 1.87248 + 0.989916i
\(484\) 10.2366 + 20.3857i 0.465302 + 0.926621i
\(485\) −2.47769 12.4562i −0.112506 0.565607i
\(486\) −21.0552 6.53287i −0.955083 0.296337i
\(487\) −26.2417 + 10.8697i −1.18913 + 0.492552i −0.887470 0.460865i \(-0.847539\pi\)
−0.301656 + 0.953417i \(0.597539\pi\)
\(488\) −10.9819 + 1.93545i −0.497126 + 0.0876137i
\(489\) −25.4751 + 2.62635i −1.15202 + 0.118768i
\(490\) −15.0570 9.28788i −0.680206 0.419584i
\(491\) 1.31601 20.0784i 0.0593907 0.906127i −0.859381 0.511336i \(-0.829151\pi\)
0.918771 0.394790i \(-0.129183\pi\)
\(492\) 11.6842 11.2046i 0.526764 0.505140i
\(493\) 4.81583 + 4.22337i 0.216894 + 0.190211i
\(494\) −13.5974 + 11.2415i −0.611777 + 0.505777i
\(495\) −44.9599 + 9.36987i −2.02080 + 0.421144i
\(496\) −30.0901 11.9579i −1.35108 0.536927i
\(497\) −11.4422 42.7029i −0.513253 1.91549i
\(498\) −13.1871 + 17.4795i −0.590929 + 0.783274i
\(499\) −9.27560 27.3250i −0.415233 1.22324i −0.930527 0.366223i \(-0.880651\pi\)
0.515294 0.857013i \(-0.327683\pi\)
\(500\) 0.409268 + 2.94435i 0.0183030 + 0.131676i
\(501\) 35.1811 16.1340i 1.57178 0.720814i
\(502\) −16.5028 + 15.5687i −0.736555 + 0.694865i
\(503\) −3.23660 + 7.81384i −0.144313 + 0.348402i −0.979464 0.201618i \(-0.935380\pi\)
0.835151 + 0.550020i \(0.185380\pi\)
\(504\) −23.4556 + 15.2424i −1.04480 + 0.678949i
\(505\) 4.29753 + 10.3752i 0.191238 + 0.461688i
\(506\) 22.3427 49.7884i 0.993253 2.21336i
\(507\) 5.57650 + 32.8444i 0.247661 + 1.45867i
\(508\) −10.5052 + 21.6956i −0.466091 + 0.962587i
\(509\) 34.4190 + 16.9736i 1.52560 + 0.752340i 0.995425 0.0955508i \(-0.0304612\pi\)
0.530171 + 0.847891i \(0.322128\pi\)
\(510\) −9.14863 + 0.0747023i −0.405108 + 0.00330787i
\(511\) 0.667419 1.15600i 0.0295249 0.0511386i
\(512\) −7.26794 21.4284i −0.321200 0.947011i
\(513\) 0.963668 11.3768i 0.0425470 0.502296i
\(514\) 14.8476 + 7.86748i 0.654901 + 0.347020i
\(515\) −1.60668 24.5132i −0.0707987 1.08018i
\(516\) 22.8388 + 11.8640i 1.00542 + 0.522284i
\(517\) −17.1955 19.6077i −0.756256 0.862345i
\(518\) 1.63482 + 2.26409i 0.0718298 + 0.0994784i
\(519\) −0.436444 + 0.166541i −0.0191578 + 0.00731032i
\(520\) 47.5349 + 20.9206i 2.08454 + 0.917430i
\(521\) −10.2475 + 24.7396i −0.448950 + 1.08386i 0.523766 + 0.851862i \(0.324527\pi\)
−0.972716 + 0.232000i \(0.925473\pi\)
\(522\) 22.1267 + 8.00802i 0.968458 + 0.350502i
\(523\) 17.8122 26.6578i 0.778873 1.16567i −0.203562 0.979062i \(-0.565252\pi\)
0.982435 0.186604i \(-0.0597481\pi\)
\(524\) 15.2542 11.8808i 0.666382 0.519016i
\(525\) −22.8497 21.2065i −0.997245 0.925527i
\(526\) 33.1582 15.1682i 1.44577 0.661366i
\(527\) 9.02996 + 2.41957i 0.393351 + 0.105398i
\(528\) 19.6048 + 26.2893i 0.853188 + 1.14410i
\(529\) −41.9772 + 11.2477i −1.82509 + 0.489032i
\(530\) −26.5118 + 21.9182i −1.15160 + 0.952068i
\(531\) −6.72100 + 26.0298i −0.291667 + 1.12960i
\(532\) −10.3179 10.1700i −0.447336 0.440926i
\(533\) 23.7958 11.7348i 1.03071 0.508290i
\(534\) −9.19346 18.2650i −0.397840 0.790404i
\(535\) −2.23423 16.9707i −0.0965944 0.733707i
\(536\) 2.09606 5.75736i 0.0905359 0.248680i
\(537\) 19.4582 23.9314i 0.839683 1.03272i
\(538\) −26.5889 + 10.1170i −1.14633 + 0.436176i
\(539\) −3.57191 17.9572i −0.153853 0.773471i
\(540\) −31.2017 + 12.4935i −1.34271 + 0.537637i
\(541\) −11.8111 17.6766i −0.507799 0.759975i 0.485662 0.874147i \(-0.338579\pi\)
−0.993461 + 0.114171i \(0.963579\pi\)
\(542\) 1.22775 5.35279i 0.0527364 0.229922i
\(543\) −20.0517 37.1063i −0.860499 1.59238i
\(544\) 2.80312 + 5.90107i 0.120183 + 0.253006i
\(545\) 33.8136 19.5223i 1.44841 0.836243i
\(546\) −44.1861 + 12.2272i −1.89099 + 0.523275i
\(547\) −21.5432 + 1.41202i −0.921123 + 0.0603736i −0.518581 0.855028i \(-0.673540\pi\)
−0.402541 + 0.915402i \(0.631873\pi\)
\(548\) −7.11181 + 1.46806i −0.303802 + 0.0627122i
\(549\) 9.31742 7.28538i 0.397658 0.310933i
\(550\) −23.0832 + 28.3348i −0.984271 + 1.20820i
\(551\) −1.59072 + 12.0827i −0.0677671 + 0.514742i
\(552\) 9.74198 38.7309i 0.414646 1.64850i
\(553\) 0.875113 + 6.64714i 0.0372136 + 0.282665i
\(554\) 13.6105 22.0645i 0.578253 0.937432i
\(555\) 1.39870 + 3.04994i 0.0593714 + 0.129463i
\(556\) 4.83773 8.52060i 0.205165 0.361354i
\(557\) −1.38661 + 6.97097i −0.0587526 + 0.295369i −0.998979 0.0451812i \(-0.985613\pi\)
0.940226 + 0.340551i \(0.110613\pi\)
\(558\) 34.1322 3.80076i 1.44493 0.160899i
\(559\) 29.8264 + 29.8264i 1.26152 + 1.26152i
\(560\) −13.1243 + 40.5777i −0.554602 + 1.71472i
\(561\) −6.50397 6.88110i −0.274598 0.290520i
\(562\) −4.73282 10.3461i −0.199642 0.436423i
\(563\) −8.37893 24.6835i −0.353130 1.04029i −0.967847 0.251539i \(-0.919063\pi\)
0.614717 0.788747i \(-0.289270\pi\)
\(564\) −14.8951 11.9334i −0.627197 0.502487i
\(565\) −8.29332 16.8172i −0.348903 0.707505i
\(566\) −2.87003 + 9.58560i −0.120636 + 0.402913i
\(567\) 14.3642 25.9611i 0.603238 1.09026i
\(568\) −33.2559 + 18.2412i −1.39539 + 0.765382i
\(569\) −2.41248 0.317609i −0.101136 0.0133148i 0.0797881 0.996812i \(-0.474576\pi\)
−0.180924 + 0.983497i \(0.557909\pi\)
\(570\) −9.78862 14.3939i −0.410000 0.602893i
\(571\) −4.03650 4.60275i −0.168922 0.192619i 0.661185 0.750223i \(-0.270054\pi\)
−0.830107 + 0.557604i \(0.811721\pi\)
\(572\) 17.6437 + 50.7702i 0.737722 + 2.12281i
\(573\) 4.59555 + 7.31569i 0.191982 + 0.305617i
\(574\) 11.5718 + 18.4601i 0.482997 + 0.770510i
\(575\) 44.5074 1.85609
\(576\) 17.4845 + 16.4406i 0.728521 + 0.685023i
\(577\) 34.6414 1.44214 0.721070 0.692862i \(-0.243651\pi\)
0.721070 + 0.692862i \(0.243651\pi\)
\(578\) 11.7674 + 18.7721i 0.489458 + 0.780816i
\(579\) 4.29816 0.160319i 0.178626 0.00666262i
\(580\) 33.8873 11.7766i 1.40709 0.488995i
\(581\) −19.4301 22.1558i −0.806098 0.919179i
\(582\) 4.18380 8.66148i 0.173424 0.359030i
\(583\) −35.2956 4.64676i −1.46180 0.192449i
\(584\) −1.09947 0.320565i −0.0454962 0.0132651i
\(585\) −54.9323 + 4.10359i −2.27117 + 0.169662i
\(586\) −3.42968 + 11.4548i −0.141679 + 0.473192i
\(587\) 2.70343 + 5.48202i 0.111583 + 0.226267i 0.945500 0.325622i \(-0.105574\pi\)
−0.833917 + 0.551889i \(0.813907\pi\)
\(588\) −4.86714 12.4839i −0.200718 0.514826i
\(589\) 5.71732 + 16.8427i 0.235578 + 0.693991i
\(590\) 17.0498 + 37.2715i 0.701931 + 1.53444i
\(591\) 9.23599 30.9541i 0.379918 1.27328i
\(592\) 1.55362 1.82400i 0.0638532 0.0749660i
\(593\) 2.40050 + 2.40050i 0.0985768 + 0.0985768i 0.754675 0.656099i \(-0.227794\pi\)
−0.656099 + 0.754675i \(0.727794\pi\)
\(594\) −31.4578 14.8431i −1.29073 0.609021i
\(595\) 2.40218 12.0766i 0.0984797 0.495091i
\(596\) 40.4605 + 22.9722i 1.65733 + 0.940979i
\(597\) 8.54050 + 0.801885i 0.349540 + 0.0328190i
\(598\) 34.3642 55.7093i 1.40526 2.27812i
\(599\) 2.70128 + 20.5183i 0.110371 + 0.838353i 0.953659 + 0.300890i \(0.0972838\pi\)
−0.843287 + 0.537463i \(0.819383\pi\)
\(600\) −13.0153 + 23.3660i −0.531349 + 0.953912i
\(601\) 0.471639 3.58245i 0.0192386 0.146131i −0.979130 0.203237i \(-0.934854\pi\)
0.998368 + 0.0571056i \(0.0181872\pi\)
\(602\) −21.8771 + 26.8543i −0.891643 + 1.09450i
\(603\) 0.906941 + 6.43512i 0.0369335 + 0.262058i
\(604\) −1.06489 5.15870i −0.0433296 0.209905i
\(605\) −36.8086 + 2.41257i −1.49648 + 0.0980848i
\(606\) −2.13422 + 8.23335i −0.0866968 + 0.334457i
\(607\) −23.6757 + 13.6692i −0.960969 + 0.554816i −0.896471 0.443102i \(-0.853878\pi\)
−0.0644977 + 0.997918i \(0.520545\pi\)
\(608\) −6.37230 + 10.6721i −0.258431 + 0.432811i
\(609\) −16.6010 + 26.9699i −0.672706 + 1.09287i
\(610\) 4.03127 17.5757i 0.163221 0.711619i
\(611\) −17.3787 26.0091i −0.703068 1.05222i
\(612\) −5.56553 4.12795i −0.224973 0.166863i
\(613\) 1.99619 + 10.0355i 0.0806253 + 0.405331i 0.999931 + 0.0117856i \(0.00375156\pi\)
−0.919305 + 0.393545i \(0.871248\pi\)
\(614\) 36.1276 13.7465i 1.45799 0.554763i
\(615\) 9.33260 + 24.4575i 0.376327 + 0.986220i
\(616\) −40.0029 + 18.6496i −1.61176 + 0.751413i
\(617\) −0.275756 2.09458i −0.0111015 0.0843245i 0.984997 0.172570i \(-0.0552072\pi\)
−0.996099 + 0.0882459i \(0.971874\pi\)
\(618\) 10.2102 15.5541i 0.410714 0.625677i
\(619\) −14.8900 + 7.34295i −0.598481 + 0.295138i −0.716185 0.697911i \(-0.754113\pi\)
0.117704 + 0.993049i \(0.462447\pi\)
\(620\) 36.7553 37.2896i 1.47613 1.49759i
\(621\) 10.1820 + 41.1180i 0.408590 + 1.65001i
\(622\) 15.7591 13.0286i 0.631881 0.522398i
\(623\) 26.5827 7.12280i 1.06501 0.285369i
\(624\) 19.1977 + 34.3320i 0.768524 + 1.37438i
\(625\) 21.7245 + 5.82107i 0.868982 + 0.232843i
\(626\) −5.86599 + 2.68340i −0.234452 + 0.107250i
\(627\) 4.01074 17.5627i 0.160173 0.701385i
\(628\) 17.7698 + 22.8153i 0.709094 + 0.910430i
\(629\) −0.384325 + 0.575184i −0.0153241 + 0.0229341i
\(630\) −7.93565 44.5328i −0.316164 1.77423i
\(631\) 10.5658 25.5081i 0.420618 1.01546i −0.561547 0.827445i \(-0.689794\pi\)
0.982166 0.188018i \(-0.0602063\pi\)
\(632\) 5.36130 2.08438i 0.213261 0.0829121i
\(633\) 3.03929 18.9455i 0.120801 0.753017i
\(634\) 13.2724 + 18.3812i 0.527114 + 0.730010i
\(635\) −25.7010 29.3064i −1.01991 1.16299i
\(636\) −26.0275 + 1.15894i −1.03206 + 0.0459551i
\(637\) −1.43629 21.9135i −0.0569077 0.868244i
\(638\) 32.8070 + 17.3838i 1.29884 + 0.688231i
\(639\) 22.0453 33.6532i 0.872100 1.33130i
\(640\) 36.4927 + 2.66572i 1.44250 + 0.105372i
\(641\) −10.0538 + 17.4138i −0.397103 + 0.687802i −0.993367 0.114986i \(-0.963318\pi\)
0.596264 + 0.802788i \(0.296651\pi\)
\(642\) 6.39027 11.2800i 0.252204 0.445185i
\(643\) 13.8120 + 6.81134i 0.544693 + 0.268613i 0.693750 0.720216i \(-0.255957\pi\)
−0.149057 + 0.988829i \(0.547624\pi\)
\(644\) 48.3772 + 23.4245i 1.90633 + 0.923055i
\(645\) −32.0501 + 26.5482i −1.26197 + 1.04533i
\(646\) 1.46929 3.27417i 0.0578086 0.128821i
\(647\) −8.03896 19.4078i −0.316044 0.762998i −0.999456 0.0329652i \(-0.989505\pi\)
0.683413 0.730032i \(-0.260495\pi\)
\(648\) −24.5641 6.67870i −0.964969 0.262364i
\(649\) −16.2324 + 39.1886i −0.637179 + 1.53829i
\(650\) −31.8861 + 30.0812i −1.25067 + 1.17988i
\(651\) −4.32078 + 46.0186i −0.169345 + 1.80361i
\(652\) −29.2904 + 4.07138i −1.14710 + 0.159448i
\(653\) 5.34137 + 15.7352i 0.209024 + 0.615764i 0.999992 + 0.00390750i \(0.00124380\pi\)
−0.790969 + 0.611857i \(0.790423\pi\)
\(654\) 29.3494 + 3.62039i 1.14765 + 0.141568i
\(655\) 8.09223 + 30.2006i 0.316190 + 1.18004i
\(656\) 13.0256 13.4071i 0.508564 0.523459i
\(657\) 1.18917 0.247828i 0.0463938 0.00966869i
\(658\) 19.7973 16.3671i 0.771778 0.638056i
\(659\) 15.0362 + 13.1864i 0.585726 + 0.513668i 0.900130 0.435621i \(-0.143471\pi\)
−0.314404 + 0.949289i \(0.601805\pi\)
\(660\) −51.5000 + 12.6492i −2.00464 + 0.492369i
\(661\) 0.175735 2.68119i 0.00683528 0.104286i −0.993078 0.117457i \(-0.962526\pi\)
0.999913 + 0.0131707i \(0.00419247\pi\)
\(662\) −11.1382 6.87059i −0.432900 0.267033i
\(663\) −6.65708 9.20110i −0.258540 0.357341i
\(664\) −14.5036 + 20.7096i −0.562850 + 0.803689i
\(665\) 21.6439 8.96521i 0.839315 0.347656i
\(666\) −0.545540 + 2.48207i −0.0211392 + 0.0961783i
\(667\) −8.82099 44.3461i −0.341550 1.71709i
\(668\) 39.9392 20.0554i 1.54529 0.775967i
\(669\) 35.2081 22.1169i 1.36122 0.855090i
\(670\) 7.25575 + 6.74678i 0.280314 + 0.260651i
\(671\) 16.1616 9.33090i 0.623911 0.360215i
\(672\) −26.4446 + 18.5475i −1.02012 + 0.715485i
\(673\) −14.2485 8.22635i −0.549238 0.317103i 0.199577 0.979882i \(-0.436043\pi\)
−0.748815 + 0.662780i \(0.769377\pi\)
\(674\) 11.7649 + 38.2859i 0.453167 + 1.47472i
\(675\) 0.540490 28.3636i 0.0208035 1.09172i
\(676\) 7.77683 + 37.6739i 0.299109 + 1.44900i
\(677\) 17.4954 + 5.93888i 0.672402 + 0.228250i 0.636698 0.771113i \(-0.280300\pi\)
0.0357031 + 0.999362i \(0.488633\pi\)
\(678\) 2.65680 13.9510i 0.102034 0.535785i
\(679\) 10.2706 + 7.88091i 0.394149 + 0.302442i
\(680\) −10.5543 + 0.459919i −0.404737 + 0.0176371i
\(681\) 13.3415 29.8059i 0.511247 1.14216i
\(682\) 54.1645 + 1.57755i 2.07407 + 0.0604074i
\(683\) −18.7649 12.5383i −0.718020 0.479765i 0.142104 0.989852i \(-0.454613\pi\)
−0.860123 + 0.510086i \(0.829613\pi\)
\(684\) 0.647319 13.1679i 0.0247509 0.503487i
\(685\) 2.29089 11.5171i 0.0875304 0.440045i
\(686\) −14.3983 + 2.43057i −0.549730 + 0.0927996i
\(687\) −8.38775 35.2460i −0.320013 1.34472i
\(688\) 26.8401 + 12.7579i 1.02327 + 0.486389i
\(689\) −41.2453 11.0516i −1.57132 0.421034i
\(690\) 51.5550 + 38.8949i 1.96267 + 1.48070i
\(691\) −6.37276 + 7.26674i −0.242431 + 0.276440i −0.860241 0.509888i \(-0.829687\pi\)
0.617810 + 0.786328i \(0.288020\pi\)
\(692\) −0.496844 + 0.210013i −0.0188872 + 0.00798348i
\(693\) 28.1589 37.3982i 1.06967 1.42064i
\(694\) −5.31644 + 17.7563i −0.201809 + 0.674022i
\(695\) 9.64538 + 12.5701i 0.365870 + 0.476811i
\(696\) 25.8608 + 8.33722i 0.980251 + 0.316022i
\(697\) −3.28546 + 4.28170i −0.124446 + 0.162181i
\(698\) −15.9791 + 11.5379i −0.604817 + 0.436717i
\(699\) −5.31954 + 4.40635i −0.201203 + 0.166664i
\(700\) −27.2344 23.5384i −1.02936 0.889668i
\(701\) 15.9318 10.6453i 0.601737 0.402068i −0.217054 0.976160i \(-0.569645\pi\)
0.818791 + 0.574092i \(0.194645\pi\)
\(702\) −35.0851 22.5761i −1.32420 0.852079i
\(703\) −1.31617 −0.0496402
\(704\) 23.6974 + 29.5365i 0.893128 + 1.11320i
\(705\) 27.1522 14.6726i 1.02261 0.552604i
\(706\) −10.8615 + 0.394805i −0.408779 + 0.0148587i
\(707\) −10.2666 5.06294i −0.386116 0.190411i
\(708\) −6.69259 + 30.3124i −0.251523 + 1.13921i
\(709\) 10.6054 31.2425i 0.398294 1.17334i −0.544154 0.838985i \(-0.683149\pi\)
0.942448 0.334352i \(-0.108517\pi\)
\(710\) −6.23212 61.0180i −0.233887 2.28996i
\(711\) −3.98080 + 4.62357i −0.149292 + 0.173398i
\(712\) −11.3552 20.7019i −0.425553 0.775835i
\(713\) −40.1721 52.3533i −1.50446 1.96065i
\(714\) 6.96110 6.20600i 0.260512 0.232254i
\(715\) −86.7288 5.68451i −3.24347 0.212589i
\(716\) 21.4767 28.4112i 0.802624 1.06178i
\(717\) −10.6967 9.92740i −0.399474 0.370745i
\(718\) 17.5055 24.6160i 0.653299 0.918661i
\(719\) 11.9827 11.9827i 0.446878 0.446878i −0.447437 0.894315i \(-0.647663\pi\)
0.894315 + 0.447437i \(0.147663\pi\)
\(720\) −35.4957 + 15.6918i −1.32285 + 0.584800i
\(721\) 17.7065 + 17.7065i 0.659425 + 0.659425i
\(722\) −19.7625 + 3.33609i −0.735483 + 0.124156i
\(723\) −4.20616 0.960549i −0.156429 0.0357232i
\(724\) −24.6549 42.0007i −0.916293 1.56094i
\(725\) −1.98046 + 30.2159i −0.0735523 + 1.12219i
\(726\) −23.3558 15.3315i −0.866814 0.569004i
\(727\) −9.08074 + 6.96790i −0.336786 + 0.258425i −0.763283 0.646064i \(-0.776414\pi\)
0.426497 + 0.904489i \(0.359747\pi\)
\(728\) −50.4903 + 15.9149i −1.87130 + 0.589844i
\(729\) 26.3273 5.98946i 0.975085 0.221832i
\(730\) 1.16968 1.43579i 0.0432919 0.0531412i
\(731\) −8.12481 2.75800i −0.300507 0.102008i
\(732\) 10.4545 8.78778i 0.386409 0.324806i
\(733\) −17.4079 + 35.2998i −0.642976 + 1.30383i 0.294458 + 0.955664i \(0.404861\pi\)
−0.937434 + 0.348162i \(0.886806\pi\)
\(734\) −10.7454 + 11.5561i −0.396622 + 0.426543i
\(735\) 21.6586 + 0.610235i 0.798889 + 0.0225089i
\(736\) 9.65990 45.0926i 0.356069 1.66213i
\(737\) 10.2538i 0.377704i
\(738\) −5.51351 + 19.0445i −0.202955 + 0.701039i
\(739\) 18.8646 + 28.2328i 0.693944 + 1.03856i 0.996348 + 0.0853814i \(0.0272109\pi\)
−0.302404 + 0.953180i \(0.597789\pi\)
\(740\) 1.73865 + 3.46243i 0.0639142 + 0.127281i
\(741\) 7.51906 20.2572i 0.276219 0.744167i
\(742\) 5.58692 34.6161i 0.205102 1.27080i
\(743\) −33.6564 25.8255i −1.23473 0.947445i −0.235036 0.971987i \(-0.575521\pi\)
−0.999699 + 0.0245414i \(0.992187\pi\)
\(744\) 39.2326 5.78027i 1.43834 0.211915i
\(745\) −59.6898 + 45.8016i −2.18687 + 1.67804i
\(746\) 22.4193 12.0876i 0.820830 0.442558i
\(747\) 3.25784 26.6183i 0.119198 0.973914i
\(748\) −7.78653 7.67495i −0.284704 0.280624i
\(749\) 13.1182 + 11.5043i 0.479328 + 0.420360i
\(750\) −2.23986 2.87021i −0.0817881 0.104805i
\(751\) −10.2303 + 38.1801i −0.373310 + 1.39321i 0.482489 + 0.875902i \(0.339733\pi\)
−0.855798 + 0.517309i \(0.826934\pi\)
\(752\) −17.6761 13.1624i −0.644581 0.479985i
\(753\) 7.94473 26.6265i 0.289522 0.970323i
\(754\) 36.2917 + 25.8086i 1.32167 + 0.939895i
\(755\) 8.35416 + 1.66175i 0.304039 + 0.0604771i
\(756\) 15.5154 30.5453i 0.564291 1.11092i
\(757\) −5.08605 + 7.61181i −0.184856 + 0.276656i −0.912310 0.409500i \(-0.865703\pi\)
0.727455 + 0.686156i \(0.240703\pi\)
\(758\) −14.2265 + 13.4212i −0.516728 + 0.487480i
\(759\) 6.85417 + 66.4841i 0.248791 + 2.41322i
\(760\) −11.8838 16.2104i −0.431072 0.588011i
\(761\) 15.2004 19.8095i 0.551013 0.718094i −0.431950 0.901898i \(-0.642174\pi\)
0.982963 + 0.183803i \(0.0588410\pi\)
\(762\) −2.17135 29.4427i −0.0786597 1.06660i
\(763\) −12.7931 + 37.6874i −0.463143 + 1.36437i
\(764\) 5.60200 + 8.25442i 0.202673 + 0.298634i
\(765\) 9.65244 5.69076i 0.348985 0.205750i
\(766\) 19.7522 + 10.4663i 0.713675 + 0.378163i
\(767\) −25.4385 + 44.0609i −0.918533 + 1.59095i
\(768\) 20.8483 + 18.2578i 0.752299 + 0.658822i
\(769\) −6.38646 11.0617i −0.230302 0.398894i 0.727595 0.686007i \(-0.240638\pi\)
−0.957897 + 0.287113i \(0.907305\pi\)
\(770\) −2.59258 71.3246i −0.0934300 2.57036i
\(771\) −20.5654 + 0.767077i −0.740645 + 0.0276256i
\(772\) 4.95344 0.360581i 0.178278 0.0129776i
\(773\) −30.3196 + 6.03094i