Properties

Label 483.2.y.b.4.15
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.15
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.b.121.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.38638 - 1.94690i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.21423 - 3.50828i) q^{4} +(0.129724 - 2.72324i) q^{5} +(-1.56517 - 1.80630i) q^{6} +(-0.222669 + 2.63636i) q^{7} +(-3.92712 - 1.15311i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(1.38638 - 1.94690i) q^{2} +(0.235759 - 0.971812i) q^{3} +(-1.21423 - 3.50828i) q^{4} +(0.129724 - 2.72324i) q^{5} +(-1.56517 - 1.80630i) q^{6} +(-0.222669 + 2.63636i) q^{7} +(-3.92712 - 1.15311i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(-5.12202 - 4.02800i) q^{10} +(-0.659545 - 0.926201i) q^{11} +(-3.69565 + 0.352892i) q^{12} +(-0.207775 + 1.44511i) q^{13} +(4.82403 + 4.08852i) q^{14} +(-2.61589 - 0.768095i) q^{15} +(-1.85309 + 1.45728i) q^{16} +(1.95608 - 0.377003i) q^{17} +(-2.12438 + 1.09520i) q^{18} +(-1.21893 - 0.234930i) q^{19} +(-9.71140 + 2.85152i) q^{20} +(2.50955 + 0.837938i) q^{21} -2.71760 q^{22} +(4.69404 - 0.982842i) q^{23} +(-2.04646 + 3.54457i) q^{24} +(-2.42184 - 0.231258i) q^{25} +(2.52542 + 2.40798i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(9.51948 - 2.41996i) q^{28} +(1.79620 + 2.07293i) q^{29} +(-5.12202 + 4.02800i) q^{30} +(-1.50849 + 1.43834i) q^{31} +(-0.121397 - 2.54845i) q^{32} +(-1.05559 + 0.422593i) q^{33} +(1.97788 - 4.33095i) q^{34} +(7.15057 + 0.948379i) q^{35} +(-0.528339 + 3.67468i) q^{36} +(8.09956 + 4.17561i) q^{37} +(-2.14729 + 2.04743i) q^{38} +(1.35539 + 0.542615i) q^{39} +(-3.64963 + 10.5449i) q^{40} +(0.00782816 + 0.00503085i) q^{41} +(5.11058 - 3.72414i) q^{42} +(-10.5782 + 3.10603i) q^{43} +(-2.44854 + 3.43849i) q^{44} +(-1.36316 + 2.36107i) q^{45} +(4.59423 - 10.5014i) q^{46} +(-4.79449 - 8.30429i) q^{47} +(0.979322 + 2.14442i) q^{48} +(-6.90084 - 1.17407i) q^{49} +(-3.80783 + 4.39447i) q^{50} +(0.0947868 - 1.98982i) q^{51} +(5.32212 - 1.02576i) q^{52} +(10.4988 + 4.20308i) q^{53} +(0.563482 + 2.32270i) q^{54} +(-2.60783 + 1.67595i) q^{55} +(3.91446 - 10.0966i) q^{56} +(-0.515681 + 1.12918i) q^{57} +(6.52600 - 0.623157i) q^{58} +(-4.66616 - 3.66951i) q^{59} +(0.481595 + 10.1099i) q^{60} +(-0.595329 - 2.45398i) q^{61} +(0.708964 + 4.93095i) q^{62} +(1.40597 - 2.24126i) q^{63} +(-9.09630 - 5.84584i) q^{64} +(3.90842 + 0.753285i) q^{65} +(-0.640698 + 2.64099i) q^{66} +(8.82006 + 0.842213i) q^{67} +(-3.69776 - 6.40470i) q^{68} +(0.151524 - 4.79344i) q^{69} +(11.7598 - 12.6066i) q^{70} +(0.701456 + 1.53597i) q^{71} +(2.96218 + 2.82444i) q^{72} +(-2.02580 - 5.85316i) q^{73} +(19.3586 - 9.98003i) q^{74} +(-0.795710 + 2.29905i) q^{75} +(0.655860 + 4.56161i) q^{76} +(2.58866 - 1.53256i) q^{77} +(2.93550 - 1.88653i) q^{78} +(12.6317 - 5.05697i) q^{79} +(3.72814 + 5.23544i) q^{80} +(0.580057 + 0.814576i) q^{81} +(0.0206474 - 0.00826596i) q^{82} +(-6.99255 + 4.49384i) q^{83} +(-0.107447 - 9.82167i) q^{84} +(-0.772919 - 5.37577i) q^{85} +(-8.61825 + 24.9008i) q^{86} +(2.43797 - 1.25686i) q^{87} +(1.52211 + 4.39783i) q^{88} +(7.15104 + 6.81850i) q^{89} +(2.70690 + 5.92728i) q^{90} +(-3.76356 - 0.869550i) q^{91} +(-9.14772 - 15.2746i) q^{92} +(1.04216 + 1.80507i) q^{93} +(-22.8146 - 2.17853i) q^{94} +(-0.797894 + 3.28896i) q^{95} +(-2.50523 - 0.482843i) q^{96} +(9.14906 + 5.87975i) q^{97} +(-11.8530 + 11.8075i) q^{98} +(0.161817 + 1.12546i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38638 1.94690i 0.980319 1.37667i 0.0545766 0.998510i \(-0.482619\pi\)
0.925742 0.378155i \(-0.123442\pi\)
\(3\) 0.235759 0.971812i 0.136115 0.561076i
\(4\) −1.21423 3.50828i −0.607114 1.75414i
\(5\) 0.129724 2.72324i 0.0580143 1.21787i −0.762785 0.646652i \(-0.776168\pi\)
0.820799 0.571217i \(-0.193529\pi\)
\(6\) −1.56517 1.80630i −0.638977 0.737418i
\(7\) −0.222669 + 2.63636i −0.0841608 + 0.996452i
\(8\) −3.92712 1.15311i −1.38845 0.407685i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) −5.12202 4.02800i −1.61973 1.27377i
\(11\) −0.659545 0.926201i −0.198860 0.279260i 0.703089 0.711102i \(-0.251803\pi\)
−0.901950 + 0.431841i \(0.857864\pi\)
\(12\) −3.69565 + 0.352892i −1.06684 + 0.101871i
\(13\) −0.207775 + 1.44511i −0.0576264 + 0.400800i 0.940509 + 0.339768i \(0.110348\pi\)
−0.998136 + 0.0610326i \(0.980561\pi\)
\(14\) 4.82403 + 4.08852i 1.28928 + 1.09270i
\(15\) −2.61589 0.768095i −0.675420 0.198321i
\(16\) −1.85309 + 1.45728i −0.463271 + 0.364321i
\(17\) 1.95608 0.377003i 0.474418 0.0914366i 0.0535631 0.998564i \(-0.482942\pi\)
0.420855 + 0.907128i \(0.361730\pi\)
\(18\) −2.12438 + 1.09520i −0.500722 + 0.258140i
\(19\) −1.21893 0.234930i −0.279642 0.0538966i 0.0475018 0.998871i \(-0.484874\pi\)
−0.327144 + 0.944975i \(0.606086\pi\)
\(20\) −9.71140 + 2.85152i −2.17154 + 0.637620i
\(21\) 2.50955 + 0.837938i 0.547629 + 0.182853i
\(22\) −2.71760 −0.579394
\(23\) 4.69404 0.982842i 0.978775 0.204937i
\(24\) −2.04646 + 3.54457i −0.417732 + 0.723532i
\(25\) −2.42184 0.231258i −0.484369 0.0462516i
\(26\) 2.52542 + 2.40798i 0.495276 + 0.472244i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) 9.51948 2.41996i 1.79901 0.457330i
\(29\) 1.79620 + 2.07293i 0.333546 + 0.384933i 0.897604 0.440802i \(-0.145306\pi\)
−0.564058 + 0.825735i \(0.690761\pi\)
\(30\) −5.12202 + 4.02800i −0.935149 + 0.735409i
\(31\) −1.50849 + 1.43834i −0.270932 + 0.258333i −0.813349 0.581776i \(-0.802358\pi\)
0.542417 + 0.840110i \(0.317509\pi\)
\(32\) −0.121397 2.54845i −0.0214602 0.450506i
\(33\) −1.05559 + 0.422593i −0.183754 + 0.0735640i
\(34\) 1.97788 4.33095i 0.339204 0.742752i
\(35\) 7.15057 + 0.948379i 1.20867 + 0.160305i
\(36\) −0.528339 + 3.67468i −0.0880564 + 0.612446i
\(37\) 8.09956 + 4.17561i 1.33156 + 0.686466i 0.969362 0.245635i \(-0.0789966\pi\)
0.362197 + 0.932102i \(0.382027\pi\)
\(38\) −2.14729 + 2.04743i −0.348336 + 0.332137i
\(39\) 1.35539 + 0.542615i 0.217035 + 0.0868879i
\(40\) −3.64963 + 10.5449i −0.577057 + 1.66730i
\(41\) 0.00782816 + 0.00503085i 0.00122255 + 0.000785687i 0.541252 0.840860i \(-0.317951\pi\)
−0.540029 + 0.841646i \(0.681587\pi\)
\(42\) 5.11058 3.72414i 0.788579 0.574648i
\(43\) −10.5782 + 3.10603i −1.61316 + 0.473666i −0.959168 0.282837i \(-0.908724\pi\)
−0.653990 + 0.756503i \(0.726906\pi\)
\(44\) −2.44854 + 3.43849i −0.369131 + 0.518371i
\(45\) −1.36316 + 2.36107i −0.203208 + 0.351967i
\(46\) 4.59423 10.5014i 0.677382 1.54835i
\(47\) −4.79449 8.30429i −0.699348 1.21131i −0.968693 0.248262i \(-0.920141\pi\)
0.269345 0.963044i \(-0.413193\pi\)
\(48\) 0.979322 + 2.14442i 0.141353 + 0.309520i
\(49\) −6.90084 1.17407i −0.985834 0.167724i
\(50\) −3.80783 + 4.39447i −0.538509 + 0.621472i
\(51\) 0.0947868 1.98982i 0.0132728 0.278631i
\(52\) 5.32212 1.02576i 0.738046 0.142247i
\(53\) 10.4988 + 4.20308i 1.44212 + 0.577337i 0.955160 0.296089i \(-0.0956825\pi\)
0.486957 + 0.873426i \(0.338107\pi\)
\(54\) 0.563482 + 2.32270i 0.0766802 + 0.316080i
\(55\) −2.60783 + 1.67595i −0.351639 + 0.225985i
\(56\) 3.91446 10.0966i 0.523092 1.34921i
\(57\) −0.515681 + 1.12918i −0.0683036 + 0.149564i
\(58\) 6.52600 0.623157i 0.856905 0.0818245i
\(59\) −4.66616 3.66951i −0.607483 0.477730i 0.266403 0.963862i \(-0.414165\pi\)
−0.873885 + 0.486132i \(0.838407\pi\)
\(60\) 0.481595 + 10.1099i 0.0621737 + 1.30519i
\(61\) −0.595329 2.45398i −0.0762241 0.314200i 0.920917 0.389758i \(-0.127441\pi\)
−0.997141 + 0.0755581i \(0.975926\pi\)
\(62\) 0.708964 + 4.93095i 0.0900385 + 0.626232i
\(63\) 1.40597 2.24126i 0.177135 0.282372i
\(64\) −9.09630 5.84584i −1.13704 0.730730i
\(65\) 3.90842 + 0.753285i 0.484779 + 0.0934336i
\(66\) −0.640698 + 2.64099i −0.0788645 + 0.325084i
\(67\) 8.82006 + 0.842213i 1.07754 + 0.102893i 0.618701 0.785626i \(-0.287659\pi\)
0.458840 + 0.888519i \(0.348265\pi\)
\(68\) −3.69776 6.40470i −0.448419 0.776684i
\(69\) 0.151524 4.79344i 0.0182414 0.577062i
\(70\) 11.7598 12.6066i 1.40556 1.50678i
\(71\) 0.701456 + 1.53597i 0.0832475 + 0.182287i 0.946678 0.322181i \(-0.104416\pi\)
−0.863431 + 0.504468i \(0.831689\pi\)
\(72\) 2.96218 + 2.82444i 0.349097 + 0.332863i
\(73\) −2.02580 5.85316i −0.237102 0.685061i −0.999289 0.0377040i \(-0.987996\pi\)
0.762187 0.647357i \(-0.224126\pi\)
\(74\) 19.3586 9.98003i 2.25039 1.16015i
\(75\) −0.795710 + 2.29905i −0.0918807 + 0.265472i
\(76\) 0.655860 + 4.56161i 0.0752323 + 0.523252i
\(77\) 2.58866 1.53256i 0.295006 0.174652i
\(78\) 2.93550 1.88653i 0.332379 0.213607i
\(79\) 12.6317 5.05697i 1.42118 0.568954i 0.471412 0.881913i \(-0.343745\pi\)
0.949767 + 0.312959i \(0.101320\pi\)
\(80\) 3.72814 + 5.23544i 0.416819 + 0.585340i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) 0.0206474 0.00826596i 0.00228012 0.000912823i
\(83\) −6.99255 + 4.49384i −0.767532 + 0.493263i −0.864874 0.501988i \(-0.832602\pi\)
0.0973426 + 0.995251i \(0.468966\pi\)
\(84\) −0.107447 9.82167i −0.0117234 1.07163i
\(85\) −0.772919 5.37577i −0.0838349 0.583084i
\(86\) −8.61825 + 24.9008i −0.929330 + 2.68512i
\(87\) 2.43797 1.25686i 0.261377 0.134749i
\(88\) 1.52211 + 4.39783i 0.162257 + 0.468811i
\(89\) 7.15104 + 6.81850i 0.758008 + 0.722759i 0.966893 0.255181i \(-0.0821350\pi\)
−0.208885 + 0.977940i \(0.566983\pi\)
\(90\) 2.70690 + 5.92728i 0.285332 + 0.624790i
\(91\) −3.76356 0.869550i −0.394528 0.0911536i
\(92\) −9.14772 15.2746i −0.953716 1.59249i
\(93\) 1.04216 + 1.80507i 0.108066 + 0.187177i
\(94\) −22.8146 2.17853i −2.35315 0.224698i
\(95\) −0.797894 + 3.28896i −0.0818622 + 0.337441i
\(96\) −2.50523 0.482843i −0.255689 0.0492800i
\(97\) 9.14906 + 5.87975i 0.928947 + 0.596998i 0.915240 0.402908i \(-0.132001\pi\)
0.0137064 + 0.999906i \(0.495637\pi\)
\(98\) −11.8530 + 11.8075i −1.19733 + 1.19274i
\(99\) 0.161817 + 1.12546i 0.0162632 + 0.113113i
\(100\) 2.12935 + 8.77730i 0.212935 + 0.877730i
\(101\) 0.246138 + 5.16708i 0.0244917 + 0.514143i 0.977466 + 0.211093i \(0.0677022\pi\)
−0.952974 + 0.303051i \(0.901995\pi\)
\(102\) −3.74257 2.94319i −0.370569 0.291419i
\(103\) −15.7582 + 1.50473i −1.55271 + 0.148265i −0.835851 0.548957i \(-0.815025\pi\)
−0.716855 + 0.697222i \(0.754419\pi\)
\(104\) 2.48232 5.43552i 0.243412 0.532997i
\(105\) 2.60746 6.72541i 0.254462 0.656333i
\(106\) 22.7383 14.6130i 2.20853 1.41934i
\(107\) 4.64699 + 19.1552i 0.449242 + 1.85180i 0.519795 + 0.854291i \(0.326008\pi\)
−0.0705531 + 0.997508i \(0.522476\pi\)
\(108\) 3.44653 + 1.37978i 0.331643 + 0.132770i
\(109\) −12.3131 + 2.37316i −1.17938 + 0.227308i −0.741015 0.671488i \(-0.765655\pi\)
−0.438368 + 0.898796i \(0.644443\pi\)
\(110\) −0.352537 + 7.40067i −0.0336131 + 0.705626i
\(111\) 5.96745 6.88681i 0.566405 0.653667i
\(112\) −3.42930 5.20990i −0.324039 0.492289i
\(113\) 5.16158 + 11.3023i 0.485560 + 1.06323i 0.980897 + 0.194528i \(0.0623174\pi\)
−0.495337 + 0.868701i \(0.664955\pi\)
\(114\) 1.48348 + 2.56946i 0.138940 + 0.240652i
\(115\) −2.06759 12.9105i −0.192803 1.20391i
\(116\) 5.09141 8.81859i 0.472726 0.818785i
\(117\) 0.846864 1.18925i 0.0782926 0.109947i
\(118\) −13.6132 + 3.99721i −1.25320 + 0.367973i
\(119\) 0.558360 + 5.24088i 0.0511848 + 0.480431i
\(120\) 9.38724 + 6.03281i 0.856934 + 0.550718i
\(121\) 3.17490 9.17327i 0.288627 0.833933i
\(122\) −5.60300 2.24310i −0.507272 0.203081i
\(123\) 0.00673460 0.00642143i 0.000607239 0.000579001i
\(124\) 6.87774 + 3.54572i 0.617639 + 0.318415i
\(125\) 0.996042 6.92763i 0.0890887 0.619626i
\(126\) −2.41430 5.84452i −0.215083 0.520671i
\(127\) 0.386622 0.846585i 0.0343072 0.0751223i −0.891703 0.452622i \(-0.850489\pi\)
0.926010 + 0.377500i \(0.123216\pi\)
\(128\) −19.2550 + 7.70855i −1.70192 + 0.681346i
\(129\) 0.524579 + 11.0123i 0.0461866 + 0.969577i
\(130\) 6.88512 6.56495i 0.603865 0.575784i
\(131\) −3.56313 + 2.80208i −0.311312 + 0.244819i −0.761574 0.648078i \(-0.775573\pi\)
0.450262 + 0.892897i \(0.351331\pi\)
\(132\) 2.76430 + 3.19017i 0.240601 + 0.277669i
\(133\) 0.890778 3.16123i 0.0772402 0.274114i
\(134\) 13.8677 16.0041i 1.19798 1.38255i
\(135\) 1.97314 + 1.88138i 0.169820 + 0.161924i
\(136\) −8.11648 0.775030i −0.695983 0.0664583i
\(137\) 4.03519 6.98915i 0.344749 0.597123i −0.640559 0.767909i \(-0.721297\pi\)
0.985308 + 0.170786i \(0.0546306\pi\)
\(138\) −9.12226 6.94053i −0.776539 0.590817i
\(139\) 13.3420 1.13165 0.565827 0.824524i \(-0.308557\pi\)
0.565827 + 0.824524i \(0.308557\pi\)
\(140\) −5.35524 26.2377i −0.452600 2.21749i
\(141\) −9.20055 + 2.70153i −0.774826 + 0.227510i
\(142\) 3.96287 + 0.763781i 0.332557 + 0.0640951i
\(143\) 1.47550 0.760671i 0.123387 0.0636105i
\(144\) 2.31485 0.446151i 0.192904 0.0371793i
\(145\) 5.87809 4.62258i 0.488149 0.383884i
\(146\) −14.2040 4.17068i −1.17553 0.345168i
\(147\) −2.76791 + 6.42952i −0.228293 + 0.530298i
\(148\) 4.81451 33.4857i 0.395750 2.75250i
\(149\) −8.36611 + 0.798866i −0.685378 + 0.0654457i −0.431935 0.901905i \(-0.642169\pi\)
−0.253443 + 0.967350i \(0.581563\pi\)
\(150\) 3.37287 + 4.73653i 0.275393 + 0.386736i
\(151\) −3.64233 2.86436i −0.296409 0.233098i 0.458868 0.888504i \(-0.348255\pi\)
−0.755277 + 0.655406i \(0.772497\pi\)
\(152\) 4.51599 + 2.32816i 0.366295 + 0.188838i
\(153\) −1.91138 0.561233i −0.154526 0.0453730i
\(154\) 0.605124 7.16458i 0.0487623 0.577339i
\(155\) 3.72125 + 4.29456i 0.298898 + 0.344947i
\(156\) 0.257897 5.41393i 0.0206483 0.433461i
\(157\) 5.21843 + 15.0777i 0.416476 + 1.20333i 0.936954 + 0.349453i \(0.113632\pi\)
−0.520478 + 0.853875i \(0.674246\pi\)
\(158\) 7.66694 31.6035i 0.609949 2.51424i
\(159\) 6.55978 9.21192i 0.520224 0.730553i
\(160\) −6.95578 −0.549902
\(161\) 1.54592 + 12.5941i 0.121835 + 0.992550i
\(162\) 2.39008 0.187782
\(163\) −7.27276 + 10.2132i −0.569647 + 0.799957i −0.994437 0.105335i \(-0.966408\pi\)
0.424790 + 0.905292i \(0.360348\pi\)
\(164\) 0.00814448 0.0335720i 0.000635977 0.00262153i
\(165\) 1.01389 + 2.92943i 0.0789310 + 0.228056i
\(166\) −0.945284 + 19.8439i −0.0733682 + 1.54019i
\(167\) −1.14522 1.32165i −0.0886197 0.102273i 0.709708 0.704496i \(-0.248827\pi\)
−0.798327 + 0.602224i \(0.794282\pi\)
\(168\) −8.88910 6.18447i −0.685809 0.477143i
\(169\) 10.4282 + 3.06201i 0.802173 + 0.235539i
\(170\) −11.5376 5.94807i −0.884897 0.456196i
\(171\) 0.975778 + 0.767360i 0.0746196 + 0.0586815i
\(172\) 23.7412 + 33.3398i 1.81025 + 2.54214i
\(173\) −18.1860 + 1.73655i −1.38265 + 0.132027i −0.759722 0.650248i \(-0.774665\pi\)
−0.622932 + 0.782276i \(0.714059\pi\)
\(174\) 0.932971 6.48895i 0.0707283 0.491926i
\(175\) 1.14895 6.33337i 0.0868523 0.478758i
\(176\) 2.57193 + 0.755187i 0.193866 + 0.0569243i
\(177\) −4.66616 + 3.66951i −0.350730 + 0.275817i
\(178\) 23.1890 4.46931i 1.73809 0.334989i
\(179\) −10.6835 + 5.50774i −0.798524 + 0.411668i −0.808657 0.588281i \(-0.799805\pi\)
0.0101326 + 0.999949i \(0.496775\pi\)
\(180\) 9.93848 + 1.91549i 0.740771 + 0.142772i
\(181\) −12.4346 + 3.65113i −0.924258 + 0.271387i −0.709031 0.705177i \(-0.750867\pi\)
−0.215227 + 0.976564i \(0.569049\pi\)
\(182\) −6.91065 + 6.12174i −0.512252 + 0.453774i
\(183\) −2.52516 −0.186665
\(184\) −19.5674 1.55299i −1.44253 0.114488i
\(185\) 12.4219 21.5154i 0.913276 1.58184i
\(186\) 4.95910 + 0.473537i 0.363619 + 0.0347214i
\(187\) −1.63930 1.56307i −0.119878 0.114303i
\(188\) −23.3122 + 26.9037i −1.70022 + 1.96215i
\(189\) −1.84661 1.89473i −0.134321 0.137822i
\(190\) 5.29709 + 6.11317i 0.384292 + 0.443496i
\(191\) 2.12167 1.66850i 0.153519 0.120728i −0.538445 0.842660i \(-0.680988\pi\)
0.691964 + 0.721932i \(0.256746\pi\)
\(192\) −7.82559 + 7.46168i −0.564763 + 0.538501i
\(193\) −0.220687 4.63279i −0.0158854 0.333476i −0.992795 0.119824i \(-0.961767\pi\)
0.976910 0.213652i \(-0.0685359\pi\)
\(194\) 24.1314 9.66074i 1.73253 0.693600i
\(195\) 1.65350 3.62065i 0.118409 0.259280i
\(196\) 4.26022 + 25.6357i 0.304301 + 1.83112i
\(197\) 2.48958 17.3154i 0.177375 1.23367i −0.685431 0.728137i \(-0.740386\pi\)
0.862806 0.505534i \(-0.168705\pi\)
\(198\) 2.41550 + 1.24528i 0.171662 + 0.0884979i
\(199\) −0.0692133 + 0.0659948i −0.00490640 + 0.00467824i −0.692528 0.721391i \(-0.743503\pi\)
0.687622 + 0.726069i \(0.258655\pi\)
\(200\) 9.24421 + 3.70083i 0.653665 + 0.261688i
\(201\) 2.89788 8.37287i 0.204401 0.590577i
\(202\) 10.4010 + 6.68433i 0.731813 + 0.470308i
\(203\) −5.86495 + 4.27387i −0.411639 + 0.299967i
\(204\) −7.09594 + 2.08356i −0.496815 + 0.145878i
\(205\) 0.0147157 0.0206653i 0.00102779 0.00144333i
\(206\) −18.9174 + 32.7658i −1.31804 + 2.28290i
\(207\) −4.62259 1.27735i −0.321293 0.0887819i
\(208\) −1.72090 2.98069i −0.119323 0.206674i
\(209\) 0.586347 + 1.28392i 0.0405585 + 0.0888107i
\(210\) −9.47877 14.4004i −0.654097 0.993724i
\(211\) −11.3669 + 13.1181i −0.782527 + 0.903084i −0.997289 0.0735822i \(-0.976557\pi\)
0.214762 + 0.976666i \(0.431102\pi\)
\(212\) 1.99766 41.9361i 0.137200 2.88019i
\(213\) 1.65805 0.319563i 0.113608 0.0218961i
\(214\) 43.7356 + 17.5091i 2.98971 + 1.19690i
\(215\) 7.08623 + 29.2098i 0.483277 + 1.99210i
\(216\) 3.44318 2.21280i 0.234279 0.150562i
\(217\) −3.45609 4.29719i −0.234615 0.291712i
\(218\) −12.4504 + 27.2625i −0.843245 + 1.84645i
\(219\) −6.16577 + 0.588760i −0.416644 + 0.0397847i
\(220\) 9.04619 + 7.11400i 0.609894 + 0.479626i
\(221\) 0.138386 + 2.90507i 0.00930882 + 0.195416i
\(222\) −5.13476 21.1658i −0.344622 1.42055i
\(223\) 2.49353 + 17.3429i 0.166979 + 1.16137i 0.885084 + 0.465432i \(0.154101\pi\)
−0.718104 + 0.695936i \(0.754990\pi\)
\(224\) 6.74566 + 0.247411i 0.450714 + 0.0165308i
\(225\) 2.04665 + 1.31530i 0.136443 + 0.0876869i
\(226\) 29.1603 + 5.62019i 1.93971 + 0.373849i
\(227\) −1.21111 + 4.99226i −0.0803841 + 0.331348i −0.997778 0.0666338i \(-0.978774\pi\)
0.917393 + 0.397982i \(0.130289\pi\)
\(228\) 4.58765 + 0.438067i 0.303825 + 0.0290117i
\(229\) −11.0057 19.0624i −0.727274 1.25968i −0.958031 0.286664i \(-0.907454\pi\)
0.230757 0.973011i \(-0.425880\pi\)
\(230\) −28.0019 13.8735i −1.84639 0.914790i
\(231\) −0.879064 2.87701i −0.0578381 0.189293i
\(232\) −4.66360 10.2119i −0.306180 0.670441i
\(233\) −12.9544 12.3520i −0.848671 0.809206i 0.134686 0.990888i \(-0.456997\pi\)
−0.983357 + 0.181682i \(0.941846\pi\)
\(234\) −1.14128 3.29751i −0.0746079 0.215565i
\(235\) −23.2365 + 11.9793i −1.51578 + 0.781441i
\(236\) −7.20789 + 20.8258i −0.469194 + 1.35565i
\(237\) −1.93639 13.4679i −0.125782 0.874832i
\(238\) 10.9776 + 6.17878i 0.711569 + 0.400511i
\(239\) −0.174126 + 0.111904i −0.0112633 + 0.00723846i −0.546260 0.837615i \(-0.683949\pi\)
0.534997 + 0.844854i \(0.320313\pi\)
\(240\) 5.96680 2.38875i 0.385155 0.154193i
\(241\) −0.519218 0.729140i −0.0334458 0.0469680i 0.797514 0.603300i \(-0.206148\pi\)
−0.830960 + 0.556332i \(0.812208\pi\)
\(242\) −13.4578 18.8988i −0.865100 1.21486i
\(243\) 0.928368 0.371662i 0.0595548 0.0238422i
\(244\) −7.88638 + 5.06827i −0.504874 + 0.324463i
\(245\) −4.09248 + 18.6403i −0.261459 + 1.19089i
\(246\) −0.00316515 0.0220141i −0.000201803 0.00140357i
\(247\) 0.592761 1.71267i 0.0377165 0.108975i
\(248\) 7.58257 3.90909i 0.481494 0.248227i
\(249\) 2.71861 + 7.85490i 0.172285 + 0.497784i
\(250\) −12.1065 11.5435i −0.765682 0.730076i
\(251\) 10.0945 + 22.1039i 0.637160 + 1.39519i 0.902356 + 0.430992i \(0.141836\pi\)
−0.265195 + 0.964195i \(0.585436\pi\)
\(252\) −9.57014 2.21113i −0.602862 0.139288i
\(253\) −4.00624 3.69940i −0.251870 0.232579i
\(254\) −1.11221 1.92640i −0.0697862 0.120873i
\(255\) −5.40646 0.516254i −0.338566 0.0323291i
\(256\) −6.58860 + 27.1586i −0.411787 + 1.69741i
\(257\) 8.29255 + 1.59826i 0.517275 + 0.0996967i 0.441206 0.897406i \(-0.354551\pi\)
0.0760694 + 0.997103i \(0.475763\pi\)
\(258\) 22.1670 + 14.2459i 1.38006 + 0.886911i
\(259\) −12.8120 + 20.4236i −0.796096 + 1.26906i
\(260\) −2.10297 14.6265i −0.130421 0.907096i
\(261\) −0.646658 2.66556i −0.0400271 0.164994i
\(262\) 0.515506 + 10.8218i 0.0318480 + 0.668573i
\(263\) −4.95895 3.89976i −0.305782 0.240470i 0.453462 0.891276i \(-0.350189\pi\)
−0.759244 + 0.650806i \(0.774431\pi\)
\(264\) 4.63272 0.442371i 0.285124 0.0272260i
\(265\) 12.8079 28.0454i 0.786784 1.72282i
\(266\) −4.91965 6.11693i −0.301643 0.375053i
\(267\) 8.31222 5.34194i 0.508699 0.326921i
\(268\) −7.75484 31.9659i −0.473702 1.95263i
\(269\) 21.7589 + 8.71095i 1.32666 + 0.531116i 0.923355 0.383948i \(-0.125436\pi\)
0.403308 + 0.915064i \(0.367860\pi\)
\(270\) 6.39837 1.23319i 0.389393 0.0750493i
\(271\) −1.35280 + 28.3988i −0.0821770 + 1.72511i 0.462635 + 0.886549i \(0.346904\pi\)
−0.544812 + 0.838558i \(0.683399\pi\)
\(272\) −3.07538 + 3.54918i −0.186472 + 0.215200i
\(273\) −1.73233 + 3.45247i −0.104845 + 0.208953i
\(274\) −8.01286 17.5457i −0.484074 1.05998i
\(275\) 1.38312 + 2.39564i 0.0834054 + 0.144462i
\(276\) −17.0007 + 5.28873i −1.02332 + 0.318344i
\(277\) −11.2903 + 19.5554i −0.678370 + 1.17497i 0.297102 + 0.954846i \(0.403980\pi\)
−0.975472 + 0.220125i \(0.929353\pi\)
\(278\) 18.4971 25.9755i 1.10938 1.55791i
\(279\) 1.99988 0.587218i 0.119730 0.0351558i
\(280\) −26.9876 11.9698i −1.61282 0.715331i
\(281\) 11.2857 + 7.25287i 0.673247 + 0.432670i 0.832095 0.554633i \(-0.187141\pi\)
−0.158848 + 0.987303i \(0.550778\pi\)
\(282\) −7.49587 + 21.6579i −0.446372 + 1.28971i
\(283\) −7.03473 2.81628i −0.418172 0.167411i 0.153028 0.988222i \(-0.451098\pi\)
−0.571200 + 0.820811i \(0.693522\pi\)
\(284\) 4.53690 4.32593i 0.269216 0.256697i
\(285\) 3.00814 + 1.55081i 0.178187 + 0.0918618i
\(286\) 0.564649 3.92722i 0.0333884 0.232221i
\(287\) −0.0150063 + 0.0195177i −0.000885791 + 0.00115209i
\(288\) −1.05986 + 2.32078i −0.0624530 + 0.136753i
\(289\) −12.0981 + 4.84337i −0.711656 + 0.284904i
\(290\) −0.850428 17.8527i −0.0499389 1.04835i
\(291\) 7.87098 7.50496i 0.461405 0.439949i
\(292\) −18.0748 + 14.2141i −1.05774 + 0.831820i
\(293\) 4.90100 + 5.65606i 0.286320 + 0.330430i 0.880629 0.473806i \(-0.157120\pi\)
−0.594310 + 0.804236i \(0.702575\pi\)
\(294\) 8.68024 + 14.3026i 0.506242 + 0.834144i
\(295\) −10.5983 + 12.2311i −0.617055 + 0.712119i
\(296\) −26.9930 25.7378i −1.56894 1.49598i
\(297\) 1.13189 + 0.108082i 0.0656787 + 0.00627155i
\(298\) −10.0433 + 17.3955i −0.581792 + 1.00769i
\(299\) 0.445008 + 6.98760i 0.0257355 + 0.404103i
\(300\) 9.03190 0.521457
\(301\) −5.83321 28.5796i −0.336221 1.64730i
\(302\) −10.6263 + 3.12015i −0.611473 + 0.179545i
\(303\) 5.07946 + 0.978985i 0.291807 + 0.0562412i
\(304\) 2.60114 1.34098i 0.149186 0.0769106i
\(305\) −6.76000 + 1.30288i −0.387077 + 0.0746029i
\(306\) −3.74257 + 2.94319i −0.213948 + 0.168251i
\(307\) 25.0228 + 7.34737i 1.42813 + 0.419336i 0.902246 0.431221i \(-0.141917\pi\)
0.525882 + 0.850557i \(0.323735\pi\)
\(308\) −8.51989 7.22088i −0.485466 0.411448i
\(309\) −2.25283 + 15.6688i −0.128159 + 0.891367i
\(310\) 13.5201 1.29102i 0.767892 0.0733248i
\(311\) −19.9605 28.0306i −1.13185 1.58947i −0.744623 0.667485i \(-0.767371\pi\)
−0.387232 0.921982i \(-0.626569\pi\)
\(312\) −4.69708 3.69382i −0.265920 0.209121i
\(313\) −13.6632 7.04387i −0.772289 0.398143i 0.0265805 0.999647i \(-0.491538\pi\)
−0.798870 + 0.601504i \(0.794568\pi\)
\(314\) 36.5894 + 10.7436i 2.06486 + 0.606297i
\(315\) −5.92110 4.11953i −0.333616 0.232109i
\(316\) −33.0791 38.1753i −1.86084 2.14753i
\(317\) 0.847737 17.7962i 0.0476136 0.999533i −0.841045 0.540965i \(-0.818059\pi\)
0.888659 0.458569i \(-0.151638\pi\)
\(318\) −8.84032 25.5424i −0.495741 1.43235i
\(319\) 0.735272 3.03083i 0.0411673 0.169694i
\(320\) −17.0996 + 24.0131i −0.955898 + 1.34237i
\(321\) 19.7108 1.10015
\(322\) 26.6626 + 14.4504i 1.48585 + 0.805289i
\(323\) −2.47289 −0.137595
\(324\) 2.15344 3.02408i 0.119636 0.168005i
\(325\) 0.837390 3.45177i 0.0464501 0.191470i
\(326\) 9.80118 + 28.3187i 0.542837 + 1.56843i
\(327\) −0.596664 + 12.5255i −0.0329956 + 0.692663i
\(328\) −0.0249411 0.0287835i −0.00137714 0.00158930i
\(329\) 22.9607 10.7909i 1.26587 0.594922i
\(330\) 7.10895 + 2.08737i 0.391335 + 0.114906i
\(331\) −14.8107 7.63543i −0.814068 0.419681i 0.000321699 1.00000i \(-0.499898\pi\)
−0.814389 + 0.580319i \(0.802928\pi\)
\(332\) 24.2562 + 19.0753i 1.33123 + 1.04689i
\(333\) −5.28580 7.42286i −0.289660 0.406770i
\(334\) −4.16083 + 0.397311i −0.227671 + 0.0217399i
\(335\) 3.43772 23.9099i 0.187823 1.30634i
\(336\) −5.87153 + 2.10436i −0.320318 + 0.114802i
\(337\) −24.8730 7.30336i −1.35492 0.397840i −0.477949 0.878388i \(-0.658620\pi\)
−0.876968 + 0.480548i \(0.840438\pi\)
\(338\) 20.4189 16.0576i 1.11064 0.873420i
\(339\) 12.2006 2.35147i 0.662644 0.127714i
\(340\) −17.9212 + 9.23903i −0.971914 + 0.501057i
\(341\) 2.32711 + 0.448513i 0.126020 + 0.0242883i
\(342\) 2.84677 0.835888i 0.153936 0.0451996i
\(343\) 4.63188 17.9317i 0.250098 0.968221i
\(344\) 45.1234 2.43289
\(345\) −13.0340 1.03446i −0.701728 0.0556935i
\(346\) −21.8318 + 37.8138i −1.17368 + 2.03288i
\(347\) 9.39919 + 0.897514i 0.504575 + 0.0481811i 0.344240 0.938882i \(-0.388137\pi\)
0.160335 + 0.987063i \(0.448743\pi\)
\(348\) −7.36966 7.02695i −0.395055 0.376684i
\(349\) 7.34673 8.47858i 0.393261 0.453848i −0.524246 0.851567i \(-0.675653\pi\)
0.917507 + 0.397719i \(0.130198\pi\)
\(350\) −10.7375 11.0173i −0.573946 0.588902i
\(351\) −0.956075 1.10337i −0.0510315 0.0588935i
\(352\) −2.28031 + 1.79325i −0.121541 + 0.0955807i
\(353\) 13.2791 12.6616i 0.706777 0.673911i −0.248832 0.968547i \(-0.580047\pi\)
0.955610 + 0.294636i \(0.0951983\pi\)
\(354\) 0.675090 + 14.1719i 0.0358806 + 0.753227i
\(355\) 4.27382 1.71098i 0.226831 0.0908094i
\(356\) 15.2382 33.3670i 0.807624 1.76845i
\(357\) 5.22479 + 0.692963i 0.276525 + 0.0366755i
\(358\) −4.08842 + 28.4356i −0.216079 + 1.50287i
\(359\) −2.85734 1.47306i −0.150805 0.0777453i 0.381172 0.924504i \(-0.375520\pi\)
−0.531977 + 0.846759i \(0.678551\pi\)
\(360\) 8.07588 7.70034i 0.425636 0.405843i
\(361\) −16.2084 6.48886i −0.853073 0.341519i
\(362\) −10.1307 + 29.2708i −0.532459 + 1.53844i
\(363\) −8.16618 5.24808i −0.428613 0.275453i
\(364\) 1.51920 + 14.2595i 0.0796275 + 0.747399i
\(365\) −16.2024 + 4.75744i −0.848070 + 0.249016i
\(366\) −3.50083 + 4.91623i −0.182991 + 0.256975i
\(367\) 8.60875 14.9108i 0.449373 0.778337i −0.548972 0.835841i \(-0.684981\pi\)
0.998345 + 0.0575034i \(0.0183140\pi\)
\(368\) −7.26618 + 8.66183i −0.378776 + 0.451529i
\(369\) −0.00465268 0.00805867i −0.000242209 0.000419518i
\(370\) −24.6667 54.0126i −1.28236 2.80798i
\(371\) −13.4186 + 26.7427i −0.696658 + 1.38841i
\(372\) 5.06726 5.84793i 0.262725 0.303201i
\(373\) 1.25987 26.4479i 0.0652335 1.36942i −0.694644 0.719354i \(-0.744438\pi\)
0.759877 0.650066i \(-0.225259\pi\)
\(374\) −5.31583 + 1.02454i −0.274875 + 0.0529779i
\(375\) −6.49752 2.60122i −0.335531 0.134326i
\(376\) 9.25280 + 38.1406i 0.477177 + 1.96695i
\(377\) −3.36881 + 2.16500i −0.173502 + 0.111503i
\(378\) −6.24896 + 0.968350i −0.321412 + 0.0498066i
\(379\) −9.64997 + 21.1305i −0.495686 + 1.08540i 0.482162 + 0.876082i \(0.339852\pi\)
−0.977848 + 0.209318i \(0.932876\pi\)
\(380\) 12.5074 1.19432i 0.641618 0.0612671i
\(381\) −0.731571 0.575314i −0.0374795 0.0294742i
\(382\) −0.306958 6.44385i −0.0157054 0.329696i
\(383\) −5.18191 21.3601i −0.264783 1.09145i −0.936507 0.350650i \(-0.885961\pi\)
0.671723 0.740802i \(-0.265554\pi\)
\(384\) 2.95171 + 20.5296i 0.150629 + 1.04765i
\(385\) −3.83773 7.24836i −0.195589 0.369411i
\(386\) −9.32554 5.99316i −0.474657 0.305044i
\(387\) 10.8255 + 2.08645i 0.550293 + 0.106060i
\(388\) 9.51875 39.2368i 0.483242 1.99195i
\(389\) −2.11558 0.202014i −0.107264 0.0102425i 0.0412858 0.999147i \(-0.486855\pi\)
−0.148550 + 0.988905i \(0.547461\pi\)
\(390\) −4.75666 8.23878i −0.240863 0.417187i
\(391\) 8.81137 3.69218i 0.445610 0.186722i
\(392\) 25.7466 + 12.5681i 1.30040 + 0.634787i
\(393\) 1.88305 + 4.12331i 0.0949873 + 0.207993i
\(394\) −30.2598 28.8527i −1.52447 1.45358i
\(395\) −12.1327 35.0552i −0.610463 1.76382i
\(396\) 3.75195 1.93427i 0.188543 0.0972005i
\(397\) 1.52399 4.40329i 0.0764870 0.220995i −0.900275 0.435322i \(-0.856635\pi\)
0.976762 + 0.214327i \(0.0687558\pi\)
\(398\) 0.0325291 + 0.226245i 0.00163054 + 0.0113406i
\(399\) −2.86212 1.61096i −0.143285 0.0806487i
\(400\) 4.82489 3.10077i 0.241244 0.155038i
\(401\) 35.5280 14.2233i 1.77418 0.710277i 0.777503 0.628879i \(-0.216486\pi\)
0.996682 0.0813976i \(-0.0259384\pi\)
\(402\) −12.2836 17.2499i −0.612649 0.860345i
\(403\) −1.76513 2.47877i −0.0879272 0.123476i
\(404\) 17.8287 7.13753i 0.887011 0.355105i
\(405\) 2.29353 1.47396i 0.113967 0.0732418i
\(406\) 0.189735 + 17.3437i 0.00941641 + 0.860752i
\(407\) −1.47456 10.2558i −0.0730915 0.508362i
\(408\) −2.66672 + 7.70497i −0.132022 + 0.381453i
\(409\) −6.07221 + 3.13044i −0.300251 + 0.154790i −0.601769 0.798670i \(-0.705537\pi\)
0.301517 + 0.953461i \(0.402507\pi\)
\(410\) −0.0198317 0.0573000i −0.000979419 0.00282985i
\(411\) −5.84080 5.56919i −0.288106 0.274708i
\(412\) 24.4131 + 53.4573i 1.20275 + 2.63365i
\(413\) 10.7132 11.4846i 0.527161 0.565121i
\(414\) −8.89554 + 7.22883i −0.437192 + 0.355278i
\(415\) 11.3307 + 19.6253i 0.556202 + 0.963370i
\(416\) 3.70800 + 0.354071i 0.181800 + 0.0173598i
\(417\) 3.14550 12.9659i 0.154036 0.634943i
\(418\) 3.31257 + 0.638445i 0.162023 + 0.0312273i
\(419\) 2.26953 + 1.45854i 0.110874 + 0.0712541i 0.594902 0.803798i \(-0.297191\pi\)
−0.484029 + 0.875052i \(0.660827\pi\)
\(420\) −26.7607 0.981502i −1.30579 0.0478924i
\(421\) 4.63918 + 32.2662i 0.226100 + 1.57256i 0.714307 + 0.699832i \(0.246742\pi\)
−0.488207 + 0.872728i \(0.662349\pi\)
\(422\) 9.78073 + 40.3167i 0.476119 + 1.96259i
\(423\) 0.456262 + 9.57811i 0.0221842 + 0.465704i
\(424\) −36.3834 28.6122i −1.76693 1.38953i
\(425\) −4.82450 + 0.460684i −0.234022 + 0.0223464i
\(426\) 1.67653 3.67110i 0.0812283 0.177865i
\(427\) 6.60215 1.02308i 0.319500 0.0495103i
\(428\) 61.5592 39.5617i 2.97557 1.91229i
\(429\) −0.391367 1.61324i −0.0188954 0.0778879i
\(430\) 66.6928 + 26.6998i 3.21621 + 1.28758i
\(431\) 12.3403 2.37840i 0.594413 0.114564i 0.116832 0.993152i \(-0.462726\pi\)
0.477581 + 0.878588i \(0.341514\pi\)
\(432\) 0.112172 2.35479i 0.00539689 0.113295i
\(433\) 14.5110 16.7465i 0.697352 0.804787i −0.291040 0.956711i \(-0.594001\pi\)
0.988392 + 0.151924i \(0.0485469\pi\)
\(434\) −13.1577 + 0.771120i −0.631588 + 0.0370149i
\(435\) −3.10646 6.80221i −0.148944 0.326141i
\(436\) 23.2766 + 40.3163i 1.11475 + 1.93080i
\(437\) −5.95261 + 0.0952474i −0.284752 + 0.00455630i
\(438\) −7.40185 + 12.8204i −0.353674 + 0.612581i
\(439\) −15.7619 + 22.1344i −0.752272 + 1.05642i 0.243968 + 0.969783i \(0.421551\pi\)
−0.996240 + 0.0866351i \(0.972389\pi\)
\(440\) 12.1738 3.57455i 0.580363 0.170410i
\(441\) 5.59572 + 4.20570i 0.266463 + 0.200272i
\(442\) 5.84773 + 3.75811i 0.278148 + 0.178755i
\(443\) 6.68711 19.3211i 0.317714 0.917974i −0.667192 0.744886i \(-0.732504\pi\)
0.984906 0.173089i \(-0.0553747\pi\)
\(444\) −31.4067 12.5733i −1.49050 0.596704i
\(445\) 19.4961 18.5895i 0.924202 0.881225i
\(446\) 37.2219 + 19.1892i 1.76251 + 0.908636i
\(447\) −1.19604 + 8.31862i −0.0565706 + 0.393457i
\(448\) 17.4372 22.6795i 0.823831 1.07151i
\(449\) 3.97744 8.70938i 0.187707 0.411021i −0.792259 0.610185i \(-0.791095\pi\)
0.979966 + 0.199164i \(0.0638225\pi\)
\(450\) 5.39820 2.16111i 0.254473 0.101876i
\(451\) −0.000503441 0.0105685i −2.37061e−5 0.000497652i
\(452\) 33.3842 31.8318i 1.57026 1.49724i
\(453\) −3.64233 + 2.86436i −0.171132 + 0.134579i
\(454\) 8.04037 + 9.27908i 0.377353 + 0.435489i
\(455\) −2.85622 + 10.1363i −0.133901 + 0.475196i
\(456\) 3.32722 3.83981i 0.155811 0.179816i
\(457\) 1.77975 + 1.69699i 0.0832532 + 0.0793817i 0.730563 0.682845i \(-0.239258\pi\)
−0.647310 + 0.762227i \(0.724106\pi\)
\(458\) −52.3705 5.00077i −2.44711 0.233671i
\(459\) −0.996038 + 1.72519i −0.0464911 + 0.0805249i
\(460\) −42.7831 + 22.9299i −1.99477 + 1.06911i
\(461\) −39.5078 −1.84006 −0.920031 0.391845i \(-0.871837\pi\)
−0.920031 + 0.391845i \(0.871837\pi\)
\(462\) −6.81996 2.27718i −0.317293 0.105944i
\(463\) 14.9868 4.40052i 0.696495 0.204509i 0.0857267 0.996319i \(-0.472679\pi\)
0.610768 + 0.791809i \(0.290861\pi\)
\(464\) −6.34936 1.22374i −0.294761 0.0568106i
\(465\) 5.05082 2.60388i 0.234226 0.120752i
\(466\) −42.0078 + 8.09634i −1.94597 + 0.375056i
\(467\) 21.7793 17.1275i 1.00783 0.792564i 0.0294866 0.999565i \(-0.490613\pi\)
0.978341 + 0.207001i \(0.0663703\pi\)
\(468\) −5.20052 1.52701i −0.240394 0.0705861i
\(469\) −4.18433 + 23.0654i −0.193214 + 1.06506i
\(470\) −8.89226 + 61.8470i −0.410169 + 2.85279i
\(471\) 15.8829 1.51664i 0.731847 0.0698829i
\(472\) 14.0933 + 19.7912i 0.648695 + 0.910965i
\(473\) 9.85360 + 7.74896i 0.453069 + 0.356297i
\(474\) −28.9051 14.9016i −1.32766 0.684455i
\(475\) 2.89773 + 0.850850i 0.132957 + 0.0390397i
\(476\) 17.7085 8.32251i 0.811668 0.381461i
\(477\) −7.40572 8.54666i −0.339085 0.391325i
\(478\) −0.0235391 + 0.494147i −0.00107665 + 0.0226017i
\(479\) −11.1275 32.1508i −0.508429 1.46901i −0.848798 0.528717i \(-0.822673\pi\)
0.340369 0.940292i \(-0.389448\pi\)
\(480\) −1.63989 + 6.75970i −0.0748502 + 0.308537i
\(481\) −7.71709 + 10.8371i −0.351869 + 0.494131i
\(482\) −2.13940 −0.0974468
\(483\) 12.6035 + 1.46682i 0.573480 + 0.0667427i
\(484\) −36.0374 −1.63807
\(485\) 17.1988 24.1523i 0.780958 1.09670i
\(486\) 0.563482 2.32270i 0.0255601 0.105360i
\(487\) −12.6382 36.5158i −0.572694 1.65469i −0.742995 0.669297i \(-0.766595\pi\)
0.170301 0.985392i \(-0.445526\pi\)
\(488\) −0.491772 + 10.3236i −0.0222615 + 0.467326i
\(489\) 8.21065 + 9.47560i 0.371299 + 0.428501i
\(490\) 30.6171 + 33.8102i 1.38314 + 1.52739i
\(491\) −6.62011 1.94384i −0.298761 0.0877242i 0.128917 0.991655i \(-0.458850\pi\)
−0.427678 + 0.903931i \(0.640668\pi\)
\(492\) −0.0307055 0.0158298i −0.00138431 0.000713662i
\(493\) 4.29501 + 3.37763i 0.193437 + 0.152121i
\(494\) −2.51261 3.52846i −0.113047 0.158753i
\(495\) 3.08589 0.294667i 0.138701 0.0132443i
\(496\) 0.699288 4.86365i 0.0313990 0.218385i
\(497\) −4.20558 + 1.50728i −0.188646 + 0.0676108i
\(498\) 19.0617 + 5.59703i 0.854176 + 0.250809i
\(499\) −17.2086 + 13.5330i −0.770361 + 0.605819i −0.924037 0.382303i \(-0.875131\pi\)
0.153676 + 0.988121i \(0.450889\pi\)
\(500\) −25.5135 + 4.91732i −1.14100 + 0.219909i
\(501\) −1.55439 + 0.801345i −0.0694452 + 0.0358015i
\(502\) 57.0289 + 10.9914i 2.54533 + 0.490571i
\(503\) −42.1953 + 12.3897i −1.88139 + 0.552427i −0.885207 + 0.465198i \(0.845983\pi\)
−0.996188 + 0.0872294i \(0.972199\pi\)
\(504\) −8.10583 + 7.18048i −0.361062 + 0.319844i
\(505\) 14.1031 0.627581
\(506\) −12.7565 + 2.67097i −0.567097 + 0.118739i
\(507\) 5.43425 9.41240i 0.241343 0.418019i
\(508\) −3.43951 0.328433i −0.152603 0.0145719i
\(509\) 20.2290 + 19.2883i 0.896634 + 0.854939i 0.990054 0.140688i \(-0.0449313\pi\)
−0.0934196 + 0.995627i \(0.529780\pi\)
\(510\) −8.50050 + 9.81010i −0.376409 + 0.434399i
\(511\) 15.8822 4.03743i 0.702585 0.178605i
\(512\) 16.5761 + 19.1298i 0.732567 + 0.845427i
\(513\) 0.975778 0.767360i 0.0430816 0.0338798i
\(514\) 14.6083 13.9290i 0.644344 0.614380i
\(515\) 2.05352 + 43.1087i 0.0904889 + 1.89960i
\(516\) 37.9972 15.2118i 1.67273 0.669661i
\(517\) −4.52927 + 9.91771i −0.199197 + 0.436181i
\(518\) 22.0005 + 53.2585i 0.966645 + 2.34004i
\(519\) −2.59991 + 18.0827i −0.114123 + 0.793745i
\(520\) −14.4802 7.46507i −0.634999 0.327365i
\(521\) −6.16358 + 5.87696i −0.270031 + 0.257474i −0.812980 0.582291i \(-0.802156\pi\)
0.542949 + 0.839766i \(0.317308\pi\)
\(522\) −6.08608 2.43650i −0.266381 0.106643i
\(523\) −4.04429 + 11.6852i −0.176845 + 0.510959i −0.998234 0.0594093i \(-0.981078\pi\)
0.821389 + 0.570368i \(0.193199\pi\)
\(524\) 14.1569 + 9.09810i 0.618448 + 0.397452i
\(525\) −5.88397 2.60971i −0.256797 0.113897i
\(526\) −14.4674 + 4.24802i −0.630810 + 0.185222i
\(527\) −2.40846 + 3.38221i −0.104914 + 0.147331i
\(528\) 1.34025 2.32139i 0.0583271 0.101025i
\(529\) 21.0680 9.22700i 0.916002 0.401174i
\(530\) −36.8450 63.8174i −1.60044 2.77205i
\(531\) 2.46598 + 5.39975i 0.107015 + 0.234329i
\(532\) −12.1721 + 0.713360i −0.527728 + 0.0309281i
\(533\) −0.00889661 + 0.0102672i −0.000385355 + 0.000444723i
\(534\) 1.12368 23.5890i 0.0486265 1.02080i
\(535\) 52.7669 10.1700i 2.28131 0.439687i
\(536\) −33.6663 13.4780i −1.45416 0.582159i
\(537\) 2.83375 + 11.6809i 0.122285 + 0.504067i
\(538\) 47.1254 30.2857i 2.03172 1.30571i
\(539\) 3.46399 + 7.16592i 0.149204 + 0.308658i
\(540\) 4.20458 9.20674i 0.180936 0.396195i
\(541\) 4.14071 0.395390i 0.178023 0.0169991i −0.00566379 0.999984i \(-0.501803\pi\)
0.183687 + 0.982985i \(0.441197\pi\)
\(542\) 53.4142 + 42.0054i 2.29433 + 1.80428i
\(543\) 0.616641 + 12.9449i 0.0264626 + 0.555519i
\(544\) −1.19823 4.93919i −0.0513739 0.211766i
\(545\) 4.86538 + 33.8394i 0.208410 + 1.44952i
\(546\) 4.31993 + 8.15911i 0.184876 + 0.349178i
\(547\) −4.85280 3.11871i −0.207491 0.133346i 0.432768 0.901505i \(-0.357537\pi\)
−0.640259 + 0.768159i \(0.721173\pi\)
\(548\) −29.4195 5.67015i −1.25674 0.242217i
\(549\) −0.595329 + 2.45398i −0.0254080 + 0.104733i
\(550\) 6.58160 + 0.628466i 0.280640 + 0.0267979i
\(551\) −1.70245 2.94874i −0.0725270 0.125620i
\(552\) −6.12241 + 18.6497i −0.260587 + 0.793784i
\(553\) 10.5193 + 34.4278i 0.447328 + 1.46402i
\(554\) 22.4197 + 49.0923i 0.952523 + 2.08573i
\(555\) −17.9803 17.1442i −0.763221 0.727730i
\(556\) −16.2002 46.8075i −0.687043 1.98508i
\(557\) −12.0606 + 6.21769i −0.511026 + 0.263452i −0.694398 0.719591i \(-0.744329\pi\)
0.183372 + 0.983044i \(0.441299\pi\)
\(558\) 1.62934 4.70767i 0.0689755 0.199292i
\(559\) −2.29067 15.9320i −0.0968850 0.673850i
\(560\) −14.6327 + 8.66297i −0.618343 + 0.366077i
\(561\) −1.90549 + 1.22458i −0.0804498 + 0.0517020i
\(562\) 29.7668 11.9168i 1.25564 0.502682i
\(563\) −23.8267 33.4600i −1.00418 1.41017i −0.909997 0.414615i \(-0.863916\pi\)
−0.0941805 0.995555i \(-0.530023\pi\)
\(564\) 20.6493 + 28.9979i 0.869491 + 1.22103i
\(565\) 31.4484 12.5900i 1.32304 0.529667i
\(566\) −15.2358 + 9.79148i −0.640410 + 0.411566i
\(567\) −2.27668 + 1.34786i −0.0956116 + 0.0566048i
\(568\) −0.983561 6.84082i −0.0412693 0.287034i
\(569\) −2.69185 + 7.77758i −0.112848 + 0.326053i −0.987256 0.159138i \(-0.949129\pi\)
0.874408 + 0.485191i \(0.161250\pi\)
\(570\) 7.18969 3.70654i 0.301143 0.155250i
\(571\) −8.86928 25.6261i −0.371168 1.07242i −0.963726 0.266892i \(-0.914003\pi\)
0.592559 0.805527i \(-0.298118\pi\)
\(572\) −4.46023 4.25282i −0.186492 0.177820i
\(573\) −1.12126 2.45523i −0.0468415 0.102569i
\(574\) 0.0171946 + 0.0562746i 0.000717687 + 0.00234886i
\(575\) −11.5955 + 1.29476i −0.483567 + 0.0539950i
\(576\) 5.40640 + 9.36416i 0.225267 + 0.390173i
\(577\) 29.9726 + 2.86204i 1.24778 + 0.119148i 0.697959 0.716138i \(-0.254092\pi\)
0.549816 + 0.835286i \(0.314698\pi\)
\(578\) −7.34309 + 30.2686i −0.305432 + 1.25901i
\(579\) −4.55423 0.877756i −0.189267 0.0364783i
\(580\) −23.3546 15.0091i −0.969749 0.623220i
\(581\) −10.2904 19.4355i −0.426917 0.806322i
\(582\) −3.69923 25.7287i −0.153338 1.06649i
\(583\) −3.03152 12.4961i −0.125553 0.517535i
\(584\) 1.20624 + 25.3221i 0.0499145 + 1.04783i
\(585\) −3.12876 2.46049i −0.129358 0.101729i
\(586\) 17.8064 1.70031i 0.735577 0.0702390i
\(587\) 17.7154 38.7912i 0.731191 1.60108i −0.0663333 0.997798i \(-0.521130\pi\)
0.797524 0.603287i \(-0.206143\pi\)
\(588\) 25.9174 + 1.90371i 1.06882 + 0.0785076i
\(589\) 2.17665 1.39885i 0.0896873 0.0576385i
\(590\) 9.11939 + 37.5906i 0.375439 + 1.54758i
\(591\) −16.2404 6.50167i −0.668040 0.267443i
\(592\) −21.0942 + 4.06558i −0.866967 + 0.167094i
\(593\) 1.87645 39.3914i 0.0770564 1.61761i −0.547619 0.836728i \(-0.684466\pi\)
0.624675 0.780885i \(-0.285231\pi\)
\(594\) 1.77965 2.05382i 0.0730199 0.0842694i
\(595\) 14.3446 0.840682i 0.588071 0.0344646i
\(596\) 12.9610 + 28.3806i 0.530904 + 1.16252i
\(597\) 0.0478168 + 0.0828212i 0.00195701 + 0.00338964i
\(598\) 14.2211 + 8.82108i 0.581544 + 0.360721i
\(599\) −7.34431 + 12.7207i −0.300080 + 0.519755i −0.976154 0.217080i \(-0.930347\pi\)
0.676073 + 0.736834i \(0.263680\pi\)
\(600\) 5.77591 8.11113i 0.235801 0.331136i
\(601\) 28.4850 8.36396i 1.16193 0.341173i 0.356747 0.934201i \(-0.383886\pi\)
0.805182 + 0.593028i \(0.202068\pi\)
\(602\) −63.7286 28.2655i −2.59738 1.15201i
\(603\) −7.45365 4.79017i −0.303536 0.195071i
\(604\) −5.62636 + 16.2563i −0.228933 + 0.661459i
\(605\) −24.5691 9.83600i −0.998878 0.399890i
\(606\) 8.94804 8.53194i 0.363489 0.346586i
\(607\) 1.57103 + 0.809924i 0.0637663 + 0.0328738i 0.489815 0.871827i \(-0.337064\pi\)
−0.426048 + 0.904700i \(0.640095\pi\)
\(608\) −0.450730 + 3.13490i −0.0182795 + 0.127137i
\(609\) 2.77068 + 6.70723i 0.112274 + 0.271791i
\(610\) −6.83535 + 14.9673i −0.276755 + 0.606009i
\(611\) 12.9968 5.20312i 0.525793 0.210496i
\(612\) 0.351893 + 7.38713i 0.0142244 + 0.298607i
\(613\) −19.2845 + 18.3878i −0.778895 + 0.742675i −0.971098 0.238680i \(-0.923285\pi\)
0.192203 + 0.981355i \(0.438437\pi\)
\(614\) 48.9957 38.5307i 1.97731 1.55497i
\(615\) −0.0166135 0.0191729i −0.000669919 0.000773128i
\(616\) −11.9332 + 3.03356i −0.480803 + 0.122226i
\(617\) 25.3191 29.2199i 1.01931 1.17635i 0.0350929 0.999384i \(-0.488827\pi\)
0.984218 0.176963i \(-0.0566272\pi\)
\(618\) 27.3823 + 26.1089i 1.10148 + 1.05026i
\(619\) −22.8837 2.18513i −0.919772 0.0878276i −0.375582 0.926789i \(-0.622557\pi\)
−0.544190 + 0.838962i \(0.683163\pi\)
\(620\) 10.5481 18.2698i 0.423620 0.733732i
\(621\) −2.33116 + 4.19114i −0.0935462 + 0.168185i
\(622\) −82.2455 −3.29774
\(623\) −19.5684 + 17.3345i −0.783990 + 0.694491i
\(624\) −3.30239 + 0.969669i −0.132201 + 0.0388178i
\(625\) −30.6808 5.91325i −1.22723 0.236530i
\(626\) −32.6561 + 16.8354i −1.30520 + 0.672877i
\(627\) 1.38597 0.267123i 0.0553502 0.0106679i
\(628\) 46.5603 36.6154i 1.85796 1.46111i
\(629\) 17.4176 + 5.11426i 0.694484 + 0.203919i
\(630\) −16.2292 + 5.81655i −0.646587 + 0.231737i
\(631\) −3.45230 + 24.0113i −0.137434 + 0.955874i 0.798072 + 0.602562i \(0.205853\pi\)
−0.935506 + 0.353311i \(0.885056\pi\)
\(632\) −55.4375 + 5.29364i −2.20519 + 0.210570i
\(633\) 10.0684 + 14.1391i 0.400185 + 0.561981i
\(634\) −33.4721 26.3227i −1.32935 1.04541i
\(635\) −2.25530 1.16269i −0.0894988 0.0461398i
\(636\) −40.2831 11.8282i −1.59733 0.469018i
\(637\) 3.13048 9.72850i 0.124034 0.385457i
\(638\) −4.88136 5.63339i −0.193255 0.223028i
\(639\) 0.0803453 1.68665i 0.00317841 0.0667230i
\(640\) 18.4944 + 53.4360i 0.731055 + 2.11224i
\(641\) 7.05644 29.0870i 0.278712 1.14887i −0.644508 0.764598i \(-0.722938\pi\)
0.923220 0.384271i \(-0.125547\pi\)
\(642\) 27.3266 38.3749i 1.07850 1.51454i
\(643\) −18.8086 −0.741740 −0.370870 0.928685i \(-0.620941\pi\)
−0.370870 + 0.928685i \(0.620941\pi\)
\(644\) 42.3064 20.7156i 1.66710 0.816307i
\(645\) 30.0571 1.18350
\(646\) −3.42837 + 4.81447i −0.134887 + 0.189423i
\(647\) 3.99253 16.4574i 0.156963 0.647008i −0.837904 0.545817i \(-0.816219\pi\)
0.994867 0.101191i \(-0.0322655\pi\)
\(648\) −1.33866 3.86781i −0.0525876 0.151942i
\(649\) −0.321162 + 6.74201i −0.0126067 + 0.264647i
\(650\) −5.55930 6.41578i −0.218054 0.251648i
\(651\) −4.99087 + 2.34557i −0.195607 + 0.0919301i
\(652\) 44.6614 + 13.1138i 1.74908 + 0.513575i
\(653\) 17.3533 + 8.94627i 0.679089 + 0.350095i 0.763018 0.646377i \(-0.223717\pi\)
−0.0839293 + 0.996472i \(0.526747\pi\)
\(654\) 23.5587 + 18.5268i 0.921219 + 0.724455i
\(655\) 7.16850 + 10.0667i 0.280096 + 0.393340i
\(656\) −0.0218376 + 0.00208524i −0.000852616 + 8.14150e-5i
\(657\) −0.881472 + 6.13077i −0.0343895 + 0.239184i
\(658\) 10.8235 59.6625i 0.421944 2.32589i
\(659\) −2.28727 0.671603i −0.0890994 0.0261619i 0.236879 0.971539i \(-0.423875\pi\)
−0.325978 + 0.945377i \(0.605694\pi\)
\(660\) 9.04619 7.11400i 0.352122 0.276912i
\(661\) 9.12578 1.75885i 0.354952 0.0684114i −0.00865843 0.999963i \(-0.502756\pi\)
0.363610 + 0.931551i \(0.381544\pi\)
\(662\) −35.3986 + 18.2493i −1.37581 + 0.709277i
\(663\) 2.85581 + 0.550412i 0.110910 + 0.0213762i
\(664\) 32.6425 9.58470i 1.26677 0.371958i
\(665\) −8.49324 2.83589i −0.329354 0.109971i
\(666\) −21.7797 −0.843946
\(667\) 10.4688 + 7.96502i 0.405354 + 0.308407i
\(668\) −3.24617 + 5.62254i −0.125598 + 0.217542i
\(669\) 17.4419 + 1.66550i 0.674344 + 0.0643920i
\(670\) −41.7841 39.8411i −1.61426 1.53919i
\(671\) −1.88023 + 2.16990i −0.0725856 + 0.0837682i
\(672\) 1.83079 6.49718i 0.0706241 0.250634i
\(673\) 2.51904 + 2.90712i 0.0971018 + 0.112061i 0.802221 0.597028i \(-0.203652\pi\)
−0.705119 + 0.709089i \(0.749106\pi\)
\(674\) −48.7023 + 38.2999i −1.87594 + 1.47526i
\(675\) 1.76074 1.67887i 0.0677710 0.0646195i
\(676\) −1.91988 40.3032i −0.0738415 1.55012i
\(677\) −17.7353 + 7.10015i −0.681624 + 0.272881i −0.686524 0.727107i \(-0.740864\pi\)
0.00490035 + 0.999988i \(0.498440\pi\)
\(678\) 12.3366 27.0133i 0.473783 1.03744i
\(679\) −17.5384 + 22.8110i −0.673061 + 0.875407i
\(680\) −3.16349 + 22.0026i −0.121314 + 0.843761i
\(681\) 4.56601 + 2.35394i 0.174970 + 0.0902032i
\(682\) 4.09946 3.90883i 0.156976 0.149677i
\(683\) −31.1591 12.4742i −1.19227 0.477314i −0.311222 0.950337i \(-0.600738\pi\)
−0.881050 + 0.473024i \(0.843162\pi\)
\(684\) 1.50730 4.35505i 0.0576330 0.166520i
\(685\) −18.5097 11.8954i −0.707218 0.454501i
\(686\) −28.4896 33.8779i −1.08774 1.29347i
\(687\) −21.1197 + 6.20130i −0.805767 + 0.236594i
\(688\) 15.0759 21.1711i 0.574763 0.807142i
\(689\) −8.25527 + 14.2985i −0.314501 + 0.544731i
\(690\) −20.0841 + 23.9418i −0.764588 + 0.911447i
\(691\) 13.6973 + 23.7243i 0.521068 + 0.902517i 0.999700 + 0.0245008i \(0.00779962\pi\)
−0.478632 + 0.878016i \(0.658867\pi\)
\(692\) 28.1742 + 61.6929i 1.07102 + 2.34521i
\(693\) −3.00316 + 0.176004i −0.114081 + 0.00668582i
\(694\) 14.7782 17.0550i 0.560974 0.647398i
\(695\) 1.73078 36.3335i 0.0656521 1.37821i
\(696\) −11.0235 + 2.12460i −0.417844 + 0.0805329i
\(697\) 0.0172091 + 0.00688950i 0.000651843 + 0.000260958i
\(698\) −6.32157 26.0579i −0.239275 0.986305i
\(699\) −15.0579 + 9.67714i −0.569543 + 0.366023i
\(700\) −23.6143 + 3.65932i −0.892537 + 0.138309i
\(701\) −3.21746 + 7.04525i −0.121522 + 0.266095i −0.960610 0.277900i \(-0.910362\pi\)
0.839088 + 0.543995i \(0.183089\pi\)
\(702\) −3.47363 + 0.331691i −0.131104 + 0.0125189i
\(703\) −8.89182 6.99261i −0.335362 0.263731i
\(704\) 0.584997 + 12.2806i 0.0220479 + 0.462843i
\(705\) 6.16337 + 25.4058i 0.232126 + 0.956836i
\(706\) −6.24098 43.4070i −0.234882 1.63364i
\(707\) −13.6771 0.501635i −0.514381 0.0188659i
\(708\) 18.5395 + 11.9146i 0.696756 + 0.447778i
\(709\) −24.2571 4.67516i −0.910993 0.175579i −0.287839 0.957679i \(-0.592937\pi\)
−0.623154 + 0.782099i \(0.714149\pi\)
\(710\) 2.59404 10.6928i 0.0973525 0.401292i
\(711\) −13.5448 1.29337i −0.507968 0.0485050i
\(712\) −20.2205 35.0230i −0.757797 1.31254i
\(713\) −5.66724 + 8.23423i −0.212240 + 0.308374i
\(714\) 8.59267 9.21142i 0.321572 0.344729i
\(715\) −1.88008 4.11680i −0.0703111 0.153960i
\(716\) 32.2949 + 30.7931i 1.20692 + 1.15079i
\(717\) 0.0676978 + 0.195600i 0.00252822 + 0.00730481i
\(718\) −6.82927 + 3.52073i −0.254866 + 0.131393i
\(719\) 10.7395 31.0298i 0.400517 1.15722i −0.546895 0.837201i \(-0.684190\pi\)
0.947412 0.320016i \(-0.103688\pi\)
\(720\) −0.914685 6.36178i −0.0340883 0.237089i
\(721\) −0.458152 41.8795i −0.0170625 1.55968i
\(722\) −35.1041 + 22.5601i −1.30644 + 0.839599i
\(723\) −0.830997 + 0.332681i −0.0309051 + 0.0123725i
\(724\) 27.9077 + 39.1908i 1.03718 + 1.45652i
\(725\) −3.87074 5.43569i −0.143756 0.201876i
\(726\) −21.5389 + 8.62288i −0.799384 + 0.320025i
\(727\) 12.4510 8.00175i 0.461781 0.296768i −0.288989 0.957332i \(-0.593319\pi\)
0.750770 + 0.660564i \(0.229683\pi\)
\(728\) 13.7773 + 7.75462i 0.510620 + 0.287405i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −13.2004 + 38.1400i −0.488567 + 1.41162i
\(731\) −19.5208 + 10.0636i −0.722001 + 0.372218i
\(732\) 3.06612 + 8.85897i 0.113327 + 0.327437i
\(733\) −4.81612 4.59216i −0.177887 0.169615i 0.595904 0.803055i \(-0.296794\pi\)
−0.773792 + 0.633440i \(0.781642\pi\)
\(734\) −17.0948 37.4324i −0.630981 1.38166i
\(735\) 17.1500 + 8.37174i 0.632589 + 0.308796i
\(736\) −3.07457 11.8432i −0.113330 0.436546i
\(737\) −5.03716 8.72462i −0.185546 0.321376i
\(738\) −0.0221398 0.00211409i −0.000814977 7.78209e-5i
\(739\) −9.33387 + 38.4747i −0.343352 + 1.41532i 0.494385 + 0.869243i \(0.335393\pi\)
−0.837737 + 0.546073i \(0.816122\pi\)
\(740\) −90.5649 17.4550i −3.32923 0.641657i
\(741\) −1.52465 0.979830i −0.0560092 0.0359950i
\(742\) 33.4621 + 63.2002i 1.22843 + 2.32015i
\(743\) −3.64183 25.3295i −0.133606 0.929249i −0.940800 0.338963i \(-0.889924\pi\)
0.807194 0.590286i \(-0.200985\pi\)
\(744\) −2.01124 8.29044i −0.0737356 0.303942i
\(745\) 1.09022 + 22.8865i 0.0399426 + 0.838498i
\(746\) −49.7447 39.1197i −1.82128 1.43227i
\(747\) 8.27442 0.790111i 0.302745 0.0289087i
\(748\) −3.49320 + 7.64905i −0.127724 + 0.279677i
\(749\) −51.5347 + 7.98591i −1.88304 + 0.291799i
\(750\) −14.0723 + 9.04374i −0.513849 + 0.330231i
\(751\) −1.71949 7.08782i −0.0627450 0.258638i 0.931796 0.362981i \(-0.118241\pi\)
−0.994541 + 0.104343i \(0.966726\pi\)
\(752\) 20.9863 + 8.40164i 0.765291 + 0.306376i
\(753\) 23.8607 4.59878i 0.869533 0.167589i
\(754\) −0.455410 + 9.56023i −0.0165851 + 0.348163i
\(755\) −8.27283 + 9.54736i −0.301079 + 0.347464i
\(756\) −4.40505 + 8.77908i −0.160210 + 0.319292i
\(757\) −10.9693 24.0194i −0.398685 0.872999i −0.997402 0.0720379i \(-0.977050\pi\)
0.598717 0.800961i \(-0.295678\pi\)
\(758\) 27.7604 + 48.0824i 1.00830 + 1.74643i
\(759\) −4.53962 + 3.02114i −0.164778 + 0.109661i
\(760\) 6.92596 11.9961i 0.251231 0.435145i
\(761\) −22.9179 + 32.1836i −0.830772 + 1.16666i 0.153176 + 0.988199i \(0.451050\pi\)
−0.983948 + 0.178457i \(0.942889\pi\)
\(762\) −2.13431 + 0.626691i −0.0773180 + 0.0227026i
\(763\) −3.51477 32.9903i −0.127243 1.19433i
\(764\) −8.42975 5.41747i −0.304978 0.195997i
\(765\) −1.77632 + 5.13235i −0.0642231 + 0.185560i
\(766\) −48.7701 19.5246i −1.76214 0.705453i
\(767\) 6.27234 5.98067i 0.226481 0.215949i
\(768\) 24.8397 + 12.8058i 0.896325 + 0.462088i
\(769\) −2.88804 + 20.0868i −0.104145 + 0.724347i 0.869110 + 0.494619i \(0.164693\pi\)
−0.973255 + 0.229727i \(0.926217\pi\)
\(770\) −19.4324 2.57731i −0.700294 0.0928800i
\(771\) 3.50825 7.68200i 0.126347 0.276660i
\(772\) −15.9852 + 6.39950i −0.575319 + 0.230323i
\