Properties

Label 570.2.bf.a.29.25
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.25
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.28709 - 1.15905i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.501847 + 2.17902i) q^{5} +(-1.46880 - 0.917943i) q^{6} +(-3.34801 - 1.93297i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.313195 + 2.98361i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(-1.28709 - 1.15905i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-0.501847 + 2.17902i) q^{5} +(-1.46880 - 0.917943i) q^{6} +(-3.34801 - 1.93297i) q^{7} +(0.866025 - 0.500000i) q^{8} +(0.313195 + 2.98361i) q^{9} +(-0.115839 + 2.23307i) q^{10} +(-3.47920 + 2.00872i) q^{11} +(-1.60589 - 0.648943i) q^{12} +(-0.681504 - 0.571849i) q^{13} +(-3.63280 - 1.32223i) q^{14} +(3.17153 - 2.22293i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.566154 + 3.21082i) q^{17} +(0.826534 + 2.88389i) q^{18} +(-3.42399 - 2.69746i) q^{19} +(0.273689 + 2.21926i) q^{20} +(2.06877 + 6.36843i) q^{21} +(-3.07753 + 2.58236i) q^{22} +(-6.82620 + 2.48453i) q^{23} +(-1.69418 - 0.360225i) q^{24} +(-4.49630 - 2.18707i) q^{25} +(-0.770451 - 0.444820i) q^{26} +(3.05505 - 4.20318i) q^{27} +(-3.80722 - 0.671315i) q^{28} +(-1.08755 + 6.16782i) q^{29} +(2.73733 - 2.73989i) q^{30} +(1.50475 + 0.868765i) q^{31} +(0.642788 - 0.766044i) q^{32} +(6.80624 + 1.44718i) q^{33} +(1.11511 + 3.06373i) q^{34} +(5.89219 - 6.32534i) q^{35} +(1.31476 + 2.69655i) q^{36} +2.85084 q^{37} +(-3.84038 - 2.06191i) q^{38} +(0.214352 + 1.52592i) q^{39} +(0.654901 + 2.13801i) q^{40} +(4.43975 - 3.72539i) q^{41} +(3.14320 + 5.91244i) q^{42} +(0.819901 - 2.25266i) q^{43} +(-2.58236 + 3.07753i) q^{44} +(-6.65853 - 0.814854i) q^{45} +(-6.29106 + 3.63214i) q^{46} +(-1.50099 + 8.51256i) q^{47} +(-1.73099 - 0.0605610i) q^{48} +(3.97278 + 6.88105i) q^{49} +(-4.80777 - 1.37307i) q^{50} +(2.99282 - 4.78881i) q^{51} +(-0.835988 - 0.304275i) q^{52} +(-3.88287 - 10.6681i) q^{53} +(2.27876 - 4.66982i) q^{54} +(-2.63102 - 8.58933i) q^{55} -3.86595 q^{56} +(1.28048 + 7.44045i) q^{57} +6.26297i q^{58} +(0.00803551 + 0.0455717i) q^{59} +(2.21997 - 3.17360i) q^{60} +(-2.60033 + 0.946444i) q^{61} +(1.63274 + 0.594270i) q^{62} +(4.71865 - 10.5945i) q^{63} +(0.500000 - 0.866025i) q^{64} +(1.58808 - 1.19803i) q^{65} +(6.95414 + 0.243300i) q^{66} +(0.646399 - 3.66591i) q^{67} +(1.63018 + 2.82355i) q^{68} +(11.6656 + 4.71411i) q^{69} +(4.70429 - 7.25241i) q^{70} +(-11.9518 - 4.35011i) q^{71} +(1.76304 + 2.42728i) q^{72} +(-7.68577 - 9.15955i) q^{73} +(2.80752 - 0.495042i) q^{74} +(3.25220 + 8.02640i) q^{75} +(-4.14008 - 1.36371i) q^{76} +15.5312 q^{77} +(0.476069 + 1.46552i) q^{78} +(7.79546 + 9.29027i) q^{79} +(1.01621 + 1.99181i) q^{80} +(-8.80382 + 1.86890i) q^{81} +(3.72539 - 4.43975i) q^{82} +(-1.50652 + 2.60937i) q^{83} +(4.12213 + 5.27680i) q^{84} +(-7.28058 - 0.377675i) q^{85} +(0.416275 - 2.36081i) q^{86} +(8.54860 - 6.67800i) q^{87} +(-2.00872 + 3.47920i) q^{88} +(6.50540 + 5.45868i) q^{89} +(-6.69887 + 0.353767i) q^{90} +(1.17631 + 3.23189i) q^{91} +(-5.56477 + 4.66940i) q^{92} +(-0.929796 - 2.86226i) q^{93} +8.64388i q^{94} +(7.59615 - 6.10725i) q^{95} +(-1.71521 + 0.240943i) q^{96} +(2.39112 + 13.5607i) q^{97} +(5.10730 + 6.08665i) q^{98} +(-7.08288 - 9.75144i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.984808 0.173648i 0.696364 0.122788i
\(3\) −1.28709 1.15905i −0.743101 0.669179i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −0.501847 + 2.17902i −0.224433 + 0.974490i
\(6\) −1.46880 0.917943i −0.599636 0.374749i
\(7\) −3.34801 1.93297i −1.26543 0.730595i −0.291309 0.956629i \(-0.594091\pi\)
−0.974120 + 0.226034i \(0.927424\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 0.313195 + 2.98361i 0.104398 + 0.994536i
\(10\) −0.115839 + 2.23307i −0.0366314 + 0.706157i
\(11\) −3.47920 + 2.00872i −1.04902 + 0.605651i −0.922374 0.386298i \(-0.873754\pi\)
−0.126643 + 0.991948i \(0.540420\pi\)
\(12\) −1.60589 0.648943i −0.463580 0.187334i
\(13\) −0.681504 0.571849i −0.189015 0.158602i 0.543370 0.839494i \(-0.317148\pi\)
−0.732385 + 0.680891i \(0.761593\pi\)
\(14\) −3.63280 1.32223i −0.970907 0.353381i
\(15\) 3.17153 2.22293i 0.818884 0.573959i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.566154 + 3.21082i 0.137313 + 0.778738i 0.973221 + 0.229870i \(0.0738300\pi\)
−0.835909 + 0.548868i \(0.815059\pi\)
\(18\) 0.826534 + 2.88389i 0.194816 + 0.679740i
\(19\) −3.42399 2.69746i −0.785517 0.618840i
\(20\) 0.273689 + 2.21926i 0.0611987 + 0.496241i
\(21\) 2.06877 + 6.36843i 0.451442 + 1.38970i
\(22\) −3.07753 + 2.58236i −0.656132 + 0.550560i
\(23\) −6.82620 + 2.48453i −1.42336 + 0.518061i −0.935021 0.354592i \(-0.884620\pi\)
−0.488340 + 0.872653i \(0.662397\pi\)
\(24\) −1.69418 0.360225i −0.345823 0.0735305i
\(25\) −4.49630 2.18707i −0.899260 0.437415i
\(26\) −0.770451 0.444820i −0.151098 0.0872364i
\(27\) 3.05505 4.20318i 0.587944 0.808902i
\(28\) −3.80722 0.671315i −0.719496 0.126867i
\(29\) −1.08755 + 6.16782i −0.201953 + 1.14534i 0.700209 + 0.713938i \(0.253090\pi\)
−0.902162 + 0.431397i \(0.858021\pi\)
\(30\) 2.73733 2.73989i 0.499767 0.500233i
\(31\) 1.50475 + 0.868765i 0.270260 + 0.156035i 0.629006 0.777401i \(-0.283462\pi\)
−0.358746 + 0.933435i \(0.616795\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) 6.80624 + 1.44718i 1.18481 + 0.251921i
\(34\) 1.11511 + 3.06373i 0.191239 + 0.525425i
\(35\) 5.89219 6.32534i 0.995961 1.06918i
\(36\) 1.31476 + 2.69655i 0.219127 + 0.449426i
\(37\) 2.85084 0.468674 0.234337 0.972155i \(-0.424708\pi\)
0.234337 + 0.972155i \(0.424708\pi\)
\(38\) −3.84038 2.06191i −0.622992 0.334486i
\(39\) 0.214352 + 1.52592i 0.0343238 + 0.244343i
\(40\) 0.654901 + 2.13801i 0.103549 + 0.338050i
\(41\) 4.43975 3.72539i 0.693373 0.581809i −0.226507 0.974010i \(-0.572731\pi\)
0.919880 + 0.392201i \(0.128286\pi\)
\(42\) 3.14320 + 5.91244i 0.485007 + 0.912309i
\(43\) 0.819901 2.25266i 0.125034 0.343527i −0.861344 0.508022i \(-0.830377\pi\)
0.986378 + 0.164494i \(0.0525992\pi\)
\(44\) −2.58236 + 3.07753i −0.389305 + 0.463955i
\(45\) −6.65853 0.814854i −0.992595 0.121471i
\(46\) −6.29106 + 3.63214i −0.927566 + 0.535531i
\(47\) −1.50099 + 8.51256i −0.218943 + 1.24168i 0.654990 + 0.755637i \(0.272673\pi\)
−0.873933 + 0.486047i \(0.838438\pi\)
\(48\) −1.73099 0.0605610i −0.249847 0.00874123i
\(49\) 3.97278 + 6.88105i 0.567539 + 0.983007i
\(50\) −4.80777 1.37307i −0.679922 0.194182i
\(51\) 2.99282 4.78881i 0.419078 0.670568i
\(52\) −0.835988 0.304275i −0.115931 0.0421953i
\(53\) −3.88287 10.6681i −0.533354 1.46538i −0.855056 0.518536i \(-0.826477\pi\)
0.321702 0.946841i \(-0.395745\pi\)
\(54\) 2.27876 4.66982i 0.310100 0.635482i
\(55\) −2.63102 8.58933i −0.354766 1.15818i
\(56\) −3.86595 −0.516609
\(57\) 1.28048 + 7.44045i 0.169604 + 0.985512i
\(58\) 6.26297i 0.822368i
\(59\) 0.00803551 + 0.0455717i 0.00104613 + 0.00593293i 0.985326 0.170681i \(-0.0545967\pi\)
−0.984280 + 0.176614i \(0.943486\pi\)
\(60\) 2.21997 3.17360i 0.286597 0.409710i
\(61\) −2.60033 + 0.946444i −0.332939 + 0.121180i −0.503080 0.864240i \(-0.667800\pi\)
0.170141 + 0.985420i \(0.445578\pi\)
\(62\) 1.63274 + 0.594270i 0.207359 + 0.0754724i
\(63\) 4.71865 10.5945i 0.594495 1.33479i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 1.58808 1.19803i 0.196978 0.148598i
\(66\) 6.95414 + 0.243300i 0.855996 + 0.0299481i
\(67\) 0.646399 3.66591i 0.0789702 0.447862i −0.919525 0.393031i \(-0.871427\pi\)
0.998496 0.0548318i \(-0.0174622\pi\)
\(68\) 1.63018 + 2.82355i 0.197688 + 0.342405i
\(69\) 11.6656 + 4.71411i 1.40438 + 0.567512i
\(70\) 4.70429 7.25241i 0.562270 0.866829i
\(71\) −11.9518 4.35011i −1.41842 0.516263i −0.484831 0.874608i \(-0.661119\pi\)
−0.933589 + 0.358345i \(0.883341\pi\)
\(72\) 1.76304 + 2.42728i 0.207776 + 0.286058i
\(73\) −7.68577 9.15955i −0.899552 1.07204i −0.997046 0.0768078i \(-0.975527\pi\)
0.0974943 0.995236i \(-0.468917\pi\)
\(74\) 2.80752 0.495042i 0.326368 0.0575475i
\(75\) 3.25220 + 8.02640i 0.375532 + 0.926809i
\(76\) −4.14008 1.36371i −0.474900 0.156428i
\(77\) 15.5312 1.76994
\(78\) 0.476069 + 1.46552i 0.0539042 + 0.165937i
\(79\) 7.79546 + 9.29027i 0.877058 + 1.04524i 0.998613 + 0.0526520i \(0.0167674\pi\)
−0.121555 + 0.992585i \(0.538788\pi\)
\(80\) 1.01621 + 1.99181i 0.113616 + 0.222691i
\(81\) −8.80382 + 1.86890i −0.978202 + 0.207656i
\(82\) 3.72539 4.43975i 0.411401 0.490288i
\(83\) −1.50652 + 2.60937i −0.165362 + 0.286416i −0.936784 0.349909i \(-0.886213\pi\)
0.771422 + 0.636324i \(0.219546\pi\)
\(84\) 4.12213 + 5.27680i 0.449762 + 0.575747i
\(85\) −7.28058 0.377675i −0.789690 0.0409646i
\(86\) 0.416275 2.36081i 0.0448881 0.254573i
\(87\) 8.54860 6.67800i 0.916506 0.715957i
\(88\) −2.00872 + 3.47920i −0.214130 + 0.370884i
\(89\) 6.50540 + 5.45868i 0.689571 + 0.578618i 0.918785 0.394757i \(-0.129171\pi\)
−0.229215 + 0.973376i \(0.573616\pi\)
\(90\) −6.69887 + 0.353767i −0.706123 + 0.0372903i
\(91\) 1.17631 + 3.23189i 0.123311 + 0.338794i
\(92\) −5.56477 + 4.66940i −0.580167 + 0.486818i
\(93\) −0.929796 2.86226i −0.0964154 0.296802i
\(94\) 8.64388i 0.891548i
\(95\) 7.59615 6.10725i 0.779349 0.626591i
\(96\) −1.71521 + 0.240943i −0.175058 + 0.0245911i
\(97\) 2.39112 + 13.5607i 0.242782 + 1.37688i 0.825588 + 0.564273i \(0.190843\pi\)
−0.582806 + 0.812611i \(0.698045\pi\)
\(98\) 5.10730 + 6.08665i 0.515915 + 0.614844i
\(99\) −7.08288 9.75144i −0.711857 0.980056i
\(100\) −4.97316 0.517351i −0.497316 0.0517351i
\(101\) 10.6630 12.7077i 1.06101 1.26447i 0.0979496 0.995191i \(-0.468772\pi\)
0.963063 0.269275i \(-0.0867840\pi\)
\(102\) 2.11578 5.23576i 0.209494 0.518417i
\(103\) −3.57794 6.19717i −0.352545 0.610626i 0.634150 0.773210i \(-0.281350\pi\)
−0.986695 + 0.162585i \(0.948017\pi\)
\(104\) −0.876124 0.154484i −0.0859110 0.0151484i
\(105\) −14.9152 + 1.31192i −1.45557 + 0.128030i
\(106\) −5.67638 9.83178i −0.551339 0.954947i
\(107\) −4.04355 2.33454i −0.390904 0.225689i 0.291648 0.956526i \(-0.405797\pi\)
−0.682552 + 0.730837i \(0.739130\pi\)
\(108\) 1.43323 4.99458i 0.137913 0.480604i
\(109\) 2.47142 6.79017i 0.236719 0.650381i −0.763272 0.646078i \(-0.776408\pi\)
0.999991 0.00430289i \(-0.00136966\pi\)
\(110\) −4.08257 8.00196i −0.389258 0.762957i
\(111\) −3.66928 3.30427i −0.348272 0.313627i
\(112\) −3.80722 + 0.671315i −0.359748 + 0.0634333i
\(113\) 4.32432i 0.406798i −0.979096 0.203399i \(-0.934801\pi\)
0.979096 0.203399i \(-0.0651988\pi\)
\(114\) 2.55305 + 7.10506i 0.239115 + 0.665450i
\(115\) −1.98816 16.1213i −0.185396 1.50332i
\(116\) 1.08755 + 6.16782i 0.100977 + 0.572668i
\(117\) 1.49273 2.21244i 0.138003 0.204540i
\(118\) 0.0158269 + 0.0434840i 0.00145698 + 0.00400302i
\(119\) 4.31094 11.8442i 0.395183 1.08576i
\(120\) 1.63516 3.51088i 0.149269 0.320498i
\(121\) 2.56988 4.45116i 0.233625 0.404651i
\(122\) −2.39648 + 1.38361i −0.216967 + 0.125266i
\(123\) −10.0323 0.350992i −0.904580 0.0316479i
\(124\) 1.71113 + 0.301719i 0.153664 + 0.0270952i
\(125\) 7.02214 8.69997i 0.628079 0.778149i
\(126\) 2.80725 11.2530i 0.250089 1.00249i
\(127\) −2.47835 2.07958i −0.219918 0.184533i 0.526172 0.850378i \(-0.323627\pi\)
−0.746090 + 0.665845i \(0.768071\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −3.66624 + 1.94906i −0.322794 + 0.171606i
\(130\) 1.35592 1.45560i 0.118922 0.127665i
\(131\) 7.71257 1.35993i 0.673851 0.118818i 0.173756 0.984789i \(-0.444410\pi\)
0.500095 + 0.865971i \(0.333299\pi\)
\(132\) 6.89074 0.967970i 0.599762 0.0842510i
\(133\) 6.24943 + 15.6496i 0.541894 + 1.35699i
\(134\) 3.72246i 0.321572i
\(135\) 7.62566 + 8.76637i 0.656312 + 0.754489i
\(136\) 2.09571 + 2.49757i 0.179706 + 0.214165i
\(137\) −8.99292 + 3.27316i −0.768317 + 0.279645i −0.696292 0.717758i \(-0.745168\pi\)
−0.0720248 + 0.997403i \(0.522946\pi\)
\(138\) 12.3070 + 2.61678i 1.04764 + 0.222755i
\(139\) 16.7234 + 14.0326i 1.41846 + 1.19023i 0.952158 + 0.305606i \(0.0988591\pi\)
0.466304 + 0.884625i \(0.345585\pi\)
\(140\) 3.37345 7.95912i 0.285109 0.672668i
\(141\) 11.7984 9.21669i 0.993606 0.776185i
\(142\) −12.5256 2.20861i −1.05113 0.185342i
\(143\) 3.51977 + 0.620630i 0.294338 + 0.0518997i
\(144\) 2.15775 + 2.08426i 0.179812 + 0.173688i
\(145\) −12.8940 5.46510i −1.07079 0.453852i
\(146\) −9.15955 7.68577i −0.758049 0.636079i
\(147\) 2.86218 13.4612i 0.236069 1.11026i
\(148\) 2.67891 0.975043i 0.220205 0.0801480i
\(149\) −12.7509 15.1960i −1.04460 1.24490i −0.968817 0.247779i \(-0.920299\pi\)
−0.0757813 0.997124i \(-0.524145\pi\)
\(150\) 4.59657 + 7.33973i 0.375308 + 0.599286i
\(151\) 6.57645i 0.535184i −0.963532 0.267592i \(-0.913772\pi\)
0.963532 0.267592i \(-0.0862280\pi\)
\(152\) −4.31399 0.624074i −0.349911 0.0506191i
\(153\) −9.40251 + 2.69479i −0.760148 + 0.217861i
\(154\) 15.2952 2.69696i 1.23252 0.217327i
\(155\) −2.64821 + 2.84289i −0.212710 + 0.228346i
\(156\) 0.723320 + 1.36058i 0.0579120 + 0.108934i
\(157\) −7.45824 + 20.4913i −0.595232 + 1.63539i 0.165417 + 0.986224i \(0.447103\pi\)
−0.760649 + 0.649163i \(0.775119\pi\)
\(158\) 9.29027 + 7.79546i 0.739094 + 0.620173i
\(159\) −7.36729 + 18.2313i −0.584264 + 1.44583i
\(160\) 1.34665 + 1.78509i 0.106462 + 0.141124i
\(161\) 27.6567 + 4.87662i 2.17965 + 0.384332i
\(162\) −8.34554 + 3.36927i −0.655687 + 0.264715i
\(163\) −2.24857 + 1.29821i −0.176121 + 0.101684i −0.585469 0.810695i \(-0.699090\pi\)
0.409348 + 0.912378i \(0.365756\pi\)
\(164\) 2.89784 5.01921i 0.226283 0.391934i
\(165\) −6.56913 + 14.1047i −0.511406 + 1.09805i
\(166\) −1.03052 + 2.83133i −0.0799840 + 0.219754i
\(167\) 7.40665 + 20.3496i 0.573144 + 1.57470i 0.799507 + 0.600657i \(0.205094\pi\)
−0.226363 + 0.974043i \(0.572683\pi\)
\(168\) 4.97582 + 4.48084i 0.383893 + 0.345704i
\(169\) −2.11999 12.0231i −0.163076 0.924851i
\(170\) −7.23555 + 0.892322i −0.554942 + 0.0684380i
\(171\) 6.97578 11.0607i 0.533452 0.845831i
\(172\) 2.39723i 0.182787i
\(173\) −6.12627 + 1.08023i −0.465771 + 0.0821281i −0.401609 0.915811i \(-0.631549\pi\)
−0.0641627 + 0.997939i \(0.520438\pi\)
\(174\) 7.25911 8.06099i 0.550312 0.611102i
\(175\) 10.8261 + 16.0136i 0.818376 + 1.21051i
\(176\) −1.37404 + 3.77515i −0.103572 + 0.284563i
\(177\) 0.0424775 0.0679684i 0.00319281 0.00510882i
\(178\) 7.35445 + 4.24610i 0.551240 + 0.318258i
\(179\) 3.65830 + 6.33636i 0.273434 + 0.473602i 0.969739 0.244145i \(-0.0785071\pi\)
−0.696305 + 0.717746i \(0.745174\pi\)
\(180\) −6.53567 + 1.51164i −0.487140 + 0.112671i
\(181\) −11.3503 2.00137i −0.843663 0.148760i −0.264920 0.964270i \(-0.585345\pi\)
−0.578743 + 0.815510i \(0.696457\pi\)
\(182\) 1.71965 + 2.97852i 0.127469 + 0.220783i
\(183\) 4.44384 + 1.79577i 0.328498 + 0.132747i
\(184\) −4.66940 + 5.56477i −0.344232 + 0.410240i
\(185\) −1.43068 + 6.21204i −0.105186 + 0.456718i
\(186\) −1.41270 2.65731i −0.103584 0.194844i
\(187\) −8.41939 10.0338i −0.615686 0.733747i
\(188\) 1.50099 + 8.51256i 0.109471 + 0.620842i
\(189\) −18.3530 + 8.16694i −1.33498 + 0.594058i
\(190\) 6.42024 7.33352i 0.465773 0.532030i
\(191\) 23.4715i 1.69834i 0.528121 + 0.849169i \(0.322897\pi\)
−0.528121 + 0.849169i \(0.677103\pi\)
\(192\) −1.64731 + 0.535125i −0.118885 + 0.0386193i
\(193\) −16.7865 + 14.0855i −1.20832 + 1.01390i −0.208964 + 0.977923i \(0.567009\pi\)
−0.999353 + 0.0359748i \(0.988546\pi\)
\(194\) 4.70959 + 12.9395i 0.338129 + 0.929002i
\(195\) −3.43259 0.298699i −0.245813 0.0213903i
\(196\) 6.08665 + 5.10730i 0.434760 + 0.364807i
\(197\) −6.06663 + 10.5077i −0.432229 + 0.748643i −0.997065 0.0765605i \(-0.975606\pi\)
0.564836 + 0.825203i \(0.308940\pi\)
\(198\) −8.66860 8.37336i −0.616051 0.595069i
\(199\) −1.61915 + 9.18266i −0.114779 + 0.650942i 0.872081 + 0.489362i \(0.162770\pi\)
−0.986860 + 0.161580i \(0.948341\pi\)
\(200\) −4.98745 + 0.354089i −0.352666 + 0.0250379i
\(201\) −5.08096 + 3.96914i −0.358383 + 0.279962i
\(202\) 8.29438 14.3663i 0.583591 1.01081i
\(203\) 15.5634 18.5477i 1.09233 1.30179i
\(204\) 1.17446 5.52361i 0.0822285 0.386730i
\(205\) 5.88965 + 11.5439i 0.411351 + 0.806261i
\(206\) −4.59971 5.48172i −0.320477 0.381930i
\(207\) −9.55080 19.5886i −0.663826 1.36150i
\(208\) −0.889640 −0.0616854
\(209\) 17.3312 + 2.50717i 1.19882 + 0.173425i
\(210\) −14.4608 + 3.88198i −0.997887 + 0.267882i
\(211\) −11.9430 + 2.10588i −0.822191 + 0.144974i −0.568891 0.822413i \(-0.692627\pi\)
−0.253300 + 0.967388i \(0.581516\pi\)
\(212\) −7.29742 8.69672i −0.501189 0.597293i
\(213\) 10.3410 + 19.4518i 0.708557 + 1.33281i
\(214\) −4.38751 1.59692i −0.299924 0.109163i
\(215\) 4.49714 + 2.91707i 0.306702 + 0.198943i
\(216\) 0.544161 5.16758i 0.0370254 0.351609i
\(217\) −3.35860 5.81727i −0.227997 0.394902i
\(218\) 1.25477 7.11617i 0.0849840 0.481968i
\(219\) −0.724124 + 20.6974i −0.0489318 + 1.39860i
\(220\) −5.41007 7.17147i −0.364747 0.483500i
\(221\) 1.45027 2.51194i 0.0975557 0.168971i
\(222\) −4.18731 2.61690i −0.281034 0.175635i
\(223\) 16.6715 + 6.06793i 1.11641 + 0.406339i 0.833339 0.552762i \(-0.186426\pi\)
0.283067 + 0.959100i \(0.408648\pi\)
\(224\) −3.63280 + 1.32223i −0.242727 + 0.0883453i
\(225\) 5.11715 14.1002i 0.341143 0.940011i
\(226\) −0.750910 4.25862i −0.0499498 0.283279i
\(227\) 8.60714i 0.571276i −0.958338 0.285638i \(-0.907795\pi\)
0.958338 0.285638i \(-0.0922054\pi\)
\(228\) 3.74804 + 6.55379i 0.248220 + 0.434035i
\(229\) −0.547836 −0.0362020 −0.0181010 0.999836i \(-0.505762\pi\)
−0.0181010 + 0.999836i \(0.505762\pi\)
\(230\) −4.75739 15.5312i −0.313693 1.02409i
\(231\) −19.9900 18.0015i −1.31525 1.18441i
\(232\) 2.14206 + 5.88526i 0.140633 + 0.386387i
\(233\) −1.52812 0.556189i −0.100110 0.0364371i 0.291479 0.956577i \(-0.405853\pi\)
−0.391590 + 0.920140i \(0.628075\pi\)
\(234\) 1.08587 2.43804i 0.0709853 0.159379i
\(235\) −17.7958 7.54270i −1.16087 0.492032i
\(236\) 0.0231373 + 0.0400751i 0.00150611 + 0.00260866i
\(237\) 0.734459 20.9927i 0.0477082 1.36363i
\(238\) 2.18872 12.4129i 0.141874 0.804606i
\(239\) −7.05910 + 4.07557i −0.456615 + 0.263627i −0.710620 0.703576i \(-0.751585\pi\)
0.254005 + 0.967203i \(0.418252\pi\)
\(240\) 1.00066 3.74148i 0.0645921 0.241512i
\(241\) −12.5315 + 14.9345i −0.807225 + 0.962013i −0.999814 0.0192662i \(-0.993867\pi\)
0.192589 + 0.981279i \(0.438311\pi\)
\(242\) 1.75790 4.82979i 0.113002 0.310471i
\(243\) 13.4974 + 7.79865i 0.865862 + 0.500283i
\(244\) −2.11981 + 1.77873i −0.135707 + 0.113872i
\(245\) −16.9877 + 5.20355i −1.08530 + 0.332442i
\(246\) −9.94082 + 1.39643i −0.633803 + 0.0890329i
\(247\) 0.790921 + 3.79634i 0.0503251 + 0.241555i
\(248\) 1.73753 0.110333
\(249\) 4.96343 1.61236i 0.314544 0.102179i
\(250\) 5.40472 9.78718i 0.341825 0.618996i
\(251\) 0.846815 + 2.32661i 0.0534505 + 0.146854i 0.963545 0.267547i \(-0.0862132\pi\)
−0.910094 + 0.414401i \(0.863991\pi\)
\(252\) 0.810539 11.5695i 0.0510592 0.728809i
\(253\) 18.7590 22.3561i 1.17937 1.40551i
\(254\) −2.80181 1.61763i −0.175801 0.101499i
\(255\) 8.93300 + 8.92467i 0.559406 + 0.558885i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 8.22024 + 1.44945i 0.512764 + 0.0904142i 0.424043 0.905642i \(-0.360611\pi\)
0.0887217 + 0.996056i \(0.471722\pi\)
\(258\) −3.27209 + 2.55609i −0.203711 + 0.159135i
\(259\) −9.54462 5.51059i −0.593074 0.342411i
\(260\) 1.08256 1.66894i 0.0671375 0.103503i
\(261\) −18.7430 1.31310i −1.16016 0.0812789i
\(262\) 7.35925 2.67855i 0.454656 0.165481i
\(263\) −0.755363 + 0.633825i −0.0465777 + 0.0390833i −0.665779 0.746149i \(-0.731901\pi\)
0.619202 + 0.785232i \(0.287456\pi\)
\(264\) 6.61797 2.14983i 0.407308 0.132313i
\(265\) 25.1947 3.10712i 1.54770 0.190869i
\(266\) 8.87201 + 14.3266i 0.543978 + 0.878423i
\(267\) −2.04613 14.5659i −0.125221 0.891418i
\(268\) −0.646399 3.66591i −0.0394851 0.223931i
\(269\) −18.0932 + 15.1820i −1.10316 + 0.925661i −0.997634 0.0687551i \(-0.978097\pi\)
−0.105527 + 0.994416i \(0.533653\pi\)
\(270\) 9.03207 + 7.30901i 0.549674 + 0.444812i
\(271\) 27.8483 + 10.1359i 1.69166 + 0.615714i 0.994833 0.101523i \(-0.0323717\pi\)
0.696828 + 0.717238i \(0.254594\pi\)
\(272\) 2.49757 + 2.09571i 0.151438 + 0.127071i
\(273\) 2.23191 5.52313i 0.135081 0.334275i
\(274\) −8.28792 + 4.78503i −0.500692 + 0.289074i
\(275\) 20.0367 1.42253i 1.20826 0.0857818i
\(276\) 12.5744 + 0.439933i 0.756891 + 0.0264808i
\(277\) −9.66682 + 5.58114i −0.580823 + 0.335338i −0.761460 0.648212i \(-0.775517\pi\)
0.180638 + 0.983550i \(0.442184\pi\)
\(278\) 18.9061 + 10.9154i 1.13391 + 0.654664i
\(279\) −2.12078 + 4.76166i −0.126967 + 0.285073i
\(280\) 1.94011 8.42400i 0.115944 0.503430i
\(281\) −18.5627 + 6.75629i −1.10736 + 0.403046i −0.830025 0.557727i \(-0.811674\pi\)
−0.277336 + 0.960773i \(0.589452\pi\)
\(282\) 10.0187 11.1254i 0.596606 0.662510i
\(283\) −3.30932 + 0.583522i −0.196719 + 0.0346868i −0.271139 0.962540i \(-0.587400\pi\)
0.0744206 + 0.997227i \(0.476289\pi\)
\(284\) −12.7189 −0.754725
\(285\) −16.8555 0.943765i −0.998436 0.0559038i
\(286\) 3.57407 0.211339
\(287\) −22.0654 + 3.89073i −1.30248 + 0.229662i
\(288\) 2.48689 + 1.67790i 0.146542 + 0.0988715i
\(289\) 5.98594 2.17871i 0.352114 0.128159i
\(290\) −13.6472 3.14305i −0.801389 0.184566i
\(291\) 12.6400 20.2253i 0.740971 1.18563i
\(292\) −10.3550 5.97847i −0.605981 0.349863i
\(293\) −17.0365 + 9.83605i −0.995286 + 0.574628i −0.906850 0.421453i \(-0.861520\pi\)
−0.0884356 + 0.996082i \(0.528187\pi\)
\(294\) 0.481191 13.7537i 0.0280636 0.802131i
\(295\) −0.103334 0.00536040i −0.00601636 0.000312095i
\(296\) 2.46890 1.42542i 0.143502 0.0828507i
\(297\) −2.18613 + 20.7604i −0.126852 + 1.20464i
\(298\) −15.1960 12.7509i −0.880280 0.738642i
\(299\) 6.07286 + 2.21034i 0.351202 + 0.127827i
\(300\) 5.80126 + 6.43003i 0.334936 + 0.371238i
\(301\) −7.09937 + 5.95708i −0.409201 + 0.343360i
\(302\) −1.14199 6.47654i −0.0657141 0.372683i
\(303\) −28.4532 + 3.99694i −1.63459 + 0.229618i
\(304\) −4.35682 + 0.134524i −0.249881 + 0.00771551i
\(305\) −0.757356 6.14116i −0.0433661 0.351642i
\(306\) −8.79171 + 4.28658i −0.502589 + 0.245048i
\(307\) 21.0299 17.6462i 1.20024 1.00712i 0.200616 0.979670i \(-0.435706\pi\)
0.999623 0.0274503i \(-0.00873881\pi\)
\(308\) 14.5945 5.31198i 0.831601 0.302678i
\(309\) −2.57772 + 12.1233i −0.146642 + 0.689672i
\(310\) −2.11432 + 3.25956i −0.120085 + 0.185130i
\(311\) −12.0317 6.94649i −0.682254 0.393899i 0.118450 0.992960i \(-0.462207\pi\)
−0.800704 + 0.599061i \(0.795541\pi\)
\(312\) 0.948594 + 1.21431i 0.0537036 + 0.0687467i
\(313\) 2.56217 + 0.451779i 0.144822 + 0.0255361i 0.245589 0.969374i \(-0.421019\pi\)
−0.100767 + 0.994910i \(0.532130\pi\)
\(314\) −3.78665 + 21.4751i −0.213693 + 1.21191i
\(315\) 20.7177 + 15.5989i 1.16731 + 0.878898i
\(316\) 10.5028 + 6.06379i 0.590828 + 0.341115i
\(317\) −10.9483 + 13.0477i −0.614917 + 0.732830i −0.980188 0.198072i \(-0.936532\pi\)
0.365270 + 0.930901i \(0.380977\pi\)
\(318\) −4.08954 + 19.2336i −0.229330 + 1.07857i
\(319\) −8.60558 23.6436i −0.481820 1.32379i
\(320\) 1.63617 + 1.52412i 0.0914646 + 0.0852011i
\(321\) 2.49855 + 7.69145i 0.139455 + 0.429295i
\(322\) 28.0834 1.56502
\(323\) 6.72255 12.5210i 0.374053 0.696687i
\(324\) −7.63368 + 4.76727i −0.424093 + 0.264849i
\(325\) 1.81357 + 4.06170i 0.100599 + 0.225303i
\(326\) −1.98897 + 1.66895i −0.110159 + 0.0924344i
\(327\) −11.0511 + 5.87505i −0.611128 + 0.324891i
\(328\) 1.98224 5.44616i 0.109451 0.300714i
\(329\) 21.4799 25.5987i 1.18423 1.41130i
\(330\) −4.02007 + 15.0311i −0.221297 + 0.827437i
\(331\) −5.19292 + 2.99813i −0.285429 + 0.164792i −0.635878 0.771789i \(-0.719362\pi\)
0.350450 + 0.936582i \(0.386029\pi\)
\(332\) −0.523209 + 2.96727i −0.0287148 + 0.162850i
\(333\) 0.892867 + 8.50577i 0.0489288 + 0.466113i
\(334\) 10.8278 + 18.7543i 0.592471 + 1.02619i
\(335\) 7.66372 + 3.24825i 0.418714 + 0.177471i
\(336\) 5.67831 + 3.54872i 0.309777 + 0.193599i
\(337\) 21.6519 + 7.88064i 1.17945 + 0.429286i 0.856009 0.516962i \(-0.172937\pi\)
0.323444 + 0.946247i \(0.395159\pi\)
\(338\) −4.17557 11.4723i −0.227121 0.624010i
\(339\) −5.01211 + 5.56578i −0.272221 + 0.302292i
\(340\) −6.97068 + 2.13521i −0.378038 + 0.115798i
\(341\) −6.98041 −0.378010
\(342\) 4.94914 12.1040i 0.267619 0.654508i
\(343\) 3.65545i 0.197376i
\(344\) −0.416275 2.36081i −0.0224440 0.127286i
\(345\) −16.1265 + 23.0539i −0.868222 + 1.24118i
\(346\) −5.84561 + 2.12763i −0.314262 + 0.114382i
\(347\) −11.2327 4.08837i −0.603004 0.219475i 0.0224354 0.999748i \(-0.492858\pi\)
−0.625439 + 0.780273i \(0.715080\pi\)
\(348\) 5.74905 9.19906i 0.308181 0.493121i
\(349\) 11.1495 19.3114i 0.596817 1.03372i −0.396470 0.918048i \(-0.629765\pi\)
0.993288 0.115670i \(-0.0369016\pi\)
\(350\) 13.4424 + 13.8904i 0.718524 + 0.742471i
\(351\) −4.48561 + 1.11745i −0.239424 + 0.0596452i
\(352\) −0.697620 + 3.95640i −0.0371833 + 0.210877i
\(353\) −14.0071 24.2610i −0.745523 1.29128i −0.949950 0.312402i \(-0.898866\pi\)
0.204427 0.978882i \(-0.434467\pi\)
\(354\) 0.0300296 0.0743119i 0.00159606 0.00394963i
\(355\) 15.4770 23.8602i 0.821432 1.26637i
\(356\) 7.98005 + 2.90450i 0.422942 + 0.153938i
\(357\) −19.2766 + 10.2479i −1.02023 + 0.542379i
\(358\) 4.70302 + 5.60484i 0.248562 + 0.296225i
\(359\) −17.4683 + 3.08014i −0.921943 + 0.162563i −0.614422 0.788978i \(-0.710611\pi\)
−0.307521 + 0.951541i \(0.599500\pi\)
\(360\) −6.17388 + 2.62358i −0.325392 + 0.138275i
\(361\) 4.44742 + 18.4722i 0.234075 + 0.972219i
\(362\) −11.5254 −0.605762
\(363\) −8.46679 + 2.75041i −0.444391 + 0.144359i
\(364\) 2.21074 + 2.63466i 0.115874 + 0.138094i
\(365\) 23.8160 12.1508i 1.24658 0.636002i
\(366\) 4.68816 + 0.996819i 0.245054 + 0.0521046i
\(367\) −0.560061 + 0.667455i −0.0292350 + 0.0348409i −0.780464 0.625201i \(-0.785017\pi\)
0.751229 + 0.660042i \(0.229461\pi\)
\(368\) −3.63214 + 6.29106i −0.189339 + 0.327944i
\(369\) 12.5056 + 12.0797i 0.651016 + 0.628844i
\(370\) −0.330237 + 6.36610i −0.0171682 + 0.330958i
\(371\) −7.62128 + 43.2224i −0.395677 + 2.24400i
\(372\) −1.85267 2.37163i −0.0960566 0.122963i
\(373\) −7.46389 + 12.9278i −0.386466 + 0.669378i −0.991971 0.126463i \(-0.959638\pi\)
0.605506 + 0.795841i \(0.292971\pi\)
\(374\) −10.0338 8.41939i −0.518837 0.435356i
\(375\) −19.1218 + 3.05861i −0.987448 + 0.157946i
\(376\) 2.95638 + 8.12259i 0.152464 + 0.418891i
\(377\) 4.26823 3.58147i 0.219825 0.184455i
\(378\) −16.6560 + 11.2298i −0.856690 + 0.577600i
\(379\) 15.9056i 0.817015i −0.912755 0.408507i \(-0.866049\pi\)
0.912755 0.408507i \(-0.133951\pi\)
\(380\) 5.04924 8.33697i 0.259021 0.427678i
\(381\) 0.779510 + 5.54914i 0.0399355 + 0.284291i
\(382\) 4.07578 + 23.1149i 0.208535 + 1.18266i
\(383\) −20.0560 23.9018i −1.02482 1.22133i −0.974916 0.222573i \(-0.928554\pi\)
−0.0498995 0.998754i \(-0.515890\pi\)
\(384\) −1.52936 + 0.813048i −0.0780450 + 0.0414907i
\(385\) −7.79427 + 33.8428i −0.397233 + 1.72479i
\(386\) −14.0855 + 16.7865i −0.716934 + 0.854409i
\(387\) 6.97784 + 1.74074i 0.354703 + 0.0884868i
\(388\) 6.88497 + 11.9251i 0.349531 + 0.605406i
\(389\) 4.85075 + 0.855317i 0.245943 + 0.0433663i 0.295260 0.955417i \(-0.404594\pi\)
−0.0493178 + 0.998783i \(0.515705\pi\)
\(390\) −3.43231 + 0.301902i −0.173802 + 0.0152874i
\(391\) −11.8421 20.5111i −0.598879 1.03729i
\(392\) 6.88105 + 3.97278i 0.347545 + 0.200655i
\(393\) −11.5030 7.18892i −0.580250 0.362633i
\(394\) −4.14982 + 11.4015i −0.209065 + 0.574401i
\(395\) −24.1558 + 12.3242i −1.21541 + 0.620098i
\(396\) −9.99092 6.74087i −0.502063 0.338741i
\(397\) 30.3973 5.35986i 1.52560 0.269004i 0.652966 0.757387i \(-0.273524\pi\)
0.872629 + 0.488383i \(0.162413\pi\)
\(398\) 9.32432i 0.467386i
\(399\) 10.0951 27.3858i 0.505389 1.37101i
\(400\) −4.85019 + 1.21477i −0.242509 + 0.0607385i
\(401\) −5.52383 31.3272i −0.275847 1.56441i −0.736258 0.676701i \(-0.763409\pi\)
0.460411 0.887706i \(-0.347702\pi\)
\(402\) −4.31453 + 4.79114i −0.215189 + 0.238960i
\(403\) −0.528686 1.45255i −0.0263358 0.0723569i
\(404\) 5.67369 15.5883i 0.282277 0.775549i
\(405\) 0.345787 20.1216i 0.0171823 0.999852i
\(406\) 12.1062 20.9685i 0.600818 1.04065i
\(407\) −9.91862 + 5.72652i −0.491648 + 0.283853i
\(408\) 0.197450 5.64364i 0.00977524 0.279402i
\(409\) 22.7535 + 4.01205i 1.12509 + 0.198383i 0.705073 0.709135i \(-0.250914\pi\)
0.420014 + 0.907518i \(0.362025\pi\)
\(410\) 7.80475 + 10.3458i 0.385449 + 0.510943i
\(411\) 15.3684 + 6.21043i 0.758070 + 0.306338i
\(412\) −5.48172 4.59971i −0.270065 0.226611i
\(413\) 0.0611859 0.168107i 0.00301076 0.00827199i
\(414\) −12.8072 17.6325i −0.629440 0.866589i
\(415\) −4.92984 4.59225i −0.241996 0.225425i
\(416\) −0.876124 + 0.154484i −0.0429555 + 0.00757422i
\(417\) −5.25999 37.4445i −0.257583 1.83367i
\(418\) 17.5032 0.540443i 0.856111 0.0264339i
\(419\) 19.6488i 0.959909i −0.877293 0.479954i \(-0.840653\pi\)
0.877293 0.479954i \(-0.159347\pi\)
\(420\) −13.5670 + 6.33409i −0.662000 + 0.309072i
\(421\) −7.30361 8.70410i −0.355956 0.424212i 0.558117 0.829763i \(-0.311524\pi\)
−0.914073 + 0.405551i \(0.867080\pi\)
\(422\) −11.3959 + 4.14777i −0.554743 + 0.201910i
\(423\) −25.8682 1.81229i −1.25776 0.0881164i
\(424\) −8.69672 7.29742i −0.422350 0.354394i
\(425\) 4.47670 15.6750i 0.217152 0.760350i
\(426\) 13.5617 + 17.3605i 0.657067 + 0.841121i
\(427\) 10.5354 + 1.85767i 0.509843 + 0.0898991i
\(428\) −4.59815 0.810778i −0.222260 0.0391904i
\(429\) −3.81091 4.87840i −0.183993 0.235532i
\(430\) 4.93536 + 2.09184i 0.238004 + 0.100877i
\(431\) 10.7509 + 9.02106i 0.517852 + 0.434529i 0.863882 0.503694i \(-0.168026\pi\)
−0.346030 + 0.938223i \(0.612471\pi\)
\(432\) −0.361447 5.18357i −0.0173901 0.249394i
\(433\) 5.13986 1.87075i 0.247006 0.0899027i −0.215550 0.976493i \(-0.569155\pi\)
0.462556 + 0.886590i \(0.346932\pi\)
\(434\) −4.31773 5.14567i −0.207258 0.247000i
\(435\) 10.2614 + 21.9789i 0.491998 + 1.05381i
\(436\) 7.22595i 0.346060i
\(437\) 30.0748 + 9.90638i 1.43867 + 0.473886i
\(438\) 2.88094 + 20.5087i 0.137656 + 0.979942i
\(439\) −26.6777 + 4.70400i −1.27326 + 0.224510i −0.769115 0.639111i \(-0.779303\pi\)
−0.504143 + 0.863620i \(0.668191\pi\)
\(440\) −6.57319 6.12307i −0.313365 0.291906i
\(441\) −19.2861 + 14.0083i −0.918385 + 0.667062i
\(442\) 0.992042 2.72561i 0.0471866 0.129644i
\(443\) 29.7600 + 24.9716i 1.41394 + 1.18644i 0.954493 + 0.298232i \(0.0963970\pi\)
0.459448 + 0.888205i \(0.348047\pi\)
\(444\) −4.57812 1.85003i −0.217268 0.0877985i
\(445\) −15.1593 + 11.4360i −0.718620 + 0.542118i
\(446\) 17.4719 + 3.08077i 0.827319 + 0.145879i
\(447\) −1.20135 + 34.3376i −0.0568217 + 1.62411i
\(448\) −3.34801 + 1.93297i −0.158179 + 0.0913244i
\(449\) 8.43082 14.6026i 0.397875 0.689140i −0.595589 0.803290i \(-0.703081\pi\)
0.993464 + 0.114150i \(0.0364145\pi\)
\(450\) 2.59094 14.7745i 0.122138 0.696479i
\(451\) −7.96352 + 21.8796i −0.374987 + 1.03027i
\(452\) −1.47900 4.06353i −0.0695665 0.191132i
\(453\) −7.62246 + 8.46448i −0.358134 + 0.397696i
\(454\) −1.49461 8.47638i −0.0701457 0.397816i
\(455\) −7.63269 + 0.941298i −0.357826 + 0.0441287i
\(456\) 4.82916 + 5.80338i 0.226146 + 0.271768i
\(457\) 0.862202i 0.0403321i 0.999797 + 0.0201661i \(0.00641949\pi\)
−0.999797 + 0.0201661i \(0.993581\pi\)
\(458\) −0.539513 + 0.0951308i −0.0252098 + 0.00444517i
\(459\) 15.2253 + 7.42956i 0.710655 + 0.346782i
\(460\) −7.38207 14.4691i −0.344191 0.674625i
\(461\) 4.22524 11.6088i 0.196789 0.540674i −0.801572 0.597898i \(-0.796003\pi\)
0.998361 + 0.0572241i \(0.0182249\pi\)
\(462\) −22.8122 14.2567i −1.06132 0.663284i
\(463\) 30.4784 + 17.5967i 1.41645 + 0.817789i 0.995985 0.0895191i \(-0.0285330\pi\)
0.420467 + 0.907308i \(0.361866\pi\)
\(464\) 3.13148 + 5.42389i 0.145375 + 0.251798i
\(465\) 6.70354 0.589636i 0.310869 0.0273437i
\(466\) −1.60148 0.282385i −0.0741872 0.0130812i
\(467\) −3.50646 6.07337i −0.162260 0.281042i 0.773419 0.633895i \(-0.218545\pi\)
−0.935679 + 0.352853i \(0.885212\pi\)
\(468\) 0.646009 2.58956i 0.0298618 0.119702i
\(469\) −9.25026 + 11.0240i −0.427137 + 0.509042i
\(470\) −18.8352 4.33790i −0.868805 0.200093i
\(471\) 33.3499 17.7297i 1.53668 0.816941i
\(472\) 0.0297448 + 0.0354485i 0.00136912 + 0.00163165i
\(473\) 1.67235 + 9.48440i 0.0768950 + 0.436093i
\(474\) −2.92205 20.8014i −0.134214 0.955438i
\(475\) 9.49575 + 19.6171i 0.435695 + 0.900094i
\(476\) 12.6043i 0.577719i
\(477\) 30.6133 14.9262i 1.40169 0.683422i
\(478\) −6.24414 + 5.23946i −0.285600 + 0.239647i
\(479\) 12.2466 + 33.6473i 0.559561 + 1.53738i 0.820277 + 0.571967i \(0.193819\pi\)
−0.260715 + 0.965416i \(0.583958\pi\)
\(480\) 0.335753 3.85840i 0.0153249 0.176111i
\(481\) −1.94285 1.63025i −0.0885865 0.0743329i
\(482\) −9.74778 + 16.8836i −0.443999 + 0.769029i
\(483\) −29.9444 38.3322i −1.36252 1.74418i
\(484\) 0.892510 5.06167i 0.0405686 0.230076i
\(485\) −30.7492 1.59509i −1.39625 0.0724294i
\(486\) 14.6466 + 5.33636i 0.664384 + 0.242062i
\(487\) −2.83150 + 4.90431i −0.128308 + 0.222235i −0.923021 0.384749i \(-0.874288\pi\)
0.794713 + 0.606985i \(0.207621\pi\)
\(488\) −1.77873 + 2.11981i −0.0805194 + 0.0959593i
\(489\) 4.39880 + 0.935294i 0.198920 + 0.0422955i
\(490\) −15.8260 + 8.07438i −0.714947 + 0.364763i
\(491\) −21.5559 25.6893i −0.972803 1.15934i −0.987207 0.159445i \(-0.949030\pi\)
0.0144039 0.999896i \(-0.495415\pi\)
\(492\) −9.54731 + 3.10142i −0.430426 + 0.139823i
\(493\) −20.4195 −0.919647
\(494\) 1.43813 + 3.60132i 0.0647046 + 0.162031i
\(495\) 24.8032 10.5401i 1.11482 0.473740i
\(496\) 1.71113 0.301719i 0.0768322 0.0135476i
\(497\) 31.6062 + 37.6667i 1.41773 + 1.68958i
\(498\) 4.60804 2.44975i 0.206491 0.109776i
\(499\) −33.5611 12.2152i −1.50240 0.546829i −0.545719 0.837969i \(-0.683743\pi\)
−0.956680 + 0.291140i \(0.905965\pi\)
\(500\) 3.62309 10.5770i 0.162029 0.473018i
\(501\) 14.0532 34.7765i 0.627853 1.55370i
\(502\) 1.23796 + 2.14421i 0.0552529 + 0.0957008i
\(503\) −0.814068 + 4.61681i −0.0362975 + 0.205853i −0.997563 0.0697704i \(-0.977773\pi\)
0.961266 + 0.275624i \(0.0888844\pi\)
\(504\) −1.21079 11.5345i −0.0539331 0.513786i
\(505\) 22.3392 + 29.6124i 0.994083 + 1.31773i
\(506\) 14.5919 25.2739i 0.648689 1.12356i
\(507\) −11.2067 + 17.9319i −0.497709 + 0.796385i
\(508\) −3.04014 1.10652i −0.134885 0.0490940i
\(509\) −11.5642 + 4.20904i −0.512576 + 0.186563i −0.585342 0.810787i \(-0.699040\pi\)
0.0727656 + 0.997349i \(0.476817\pi\)
\(510\) 10.3470 + 7.23789i 0.458175 + 0.320499i
\(511\) 8.02687 + 45.5226i 0.355088 + 2.01380i
\(512\) 1.00000i 0.0441942i
\(513\) −21.7984 + 6.15077i −0.962421 + 0.271563i
\(514\) 8.34705 0.368172
\(515\) 15.2994 4.68639i 0.674171 0.206507i
\(516\) −2.77852 + 3.08545i −0.122317 + 0.135829i
\(517\) −11.8771 32.6320i −0.522353 1.43515i
\(518\) −10.3565 3.76947i −0.455039 0.165621i
\(519\) 9.13709 + 5.71032i 0.401074 + 0.250655i
\(520\) 0.776305 1.83157i 0.0340432 0.0803196i
\(521\) 2.61622 + 4.53143i 0.114619 + 0.198526i 0.917627 0.397442i \(-0.130102\pi\)
−0.803009 + 0.595968i \(0.796769\pi\)
\(522\) −18.6862 + 1.96153i −0.817874 + 0.0858538i
\(523\) 6.20970 35.2170i 0.271531 1.53993i −0.478237 0.878231i \(-0.658724\pi\)
0.749769 0.661700i \(-0.230165\pi\)
\(524\) 6.78232 3.91578i 0.296287 0.171061i
\(525\) 4.62642 33.1589i 0.201913 1.44717i
\(526\) −0.633825 + 0.755363i −0.0276361 + 0.0329354i
\(527\) −1.93753 + 5.32332i −0.0844001 + 0.231887i
\(528\) 6.14411 3.26637i 0.267388 0.142150i
\(529\) 22.8051 19.1357i 0.991525 0.831988i
\(530\) 24.2724 7.43493i 1.05432 0.322953i
\(531\) −0.133451 + 0.0382476i −0.00579129 + 0.00165981i
\(532\) 11.2250 + 12.5684i 0.486666 + 0.544909i
\(533\) −5.15607 −0.223334
\(534\) −4.54439 13.9893i −0.196655 0.605376i
\(535\) 7.11627 7.63941i 0.307663 0.330280i
\(536\) −1.27316 3.49797i −0.0549920 0.151089i
\(537\) 2.63562 12.3956i 0.113735 0.534910i
\(538\) −15.1820 + 18.0932i −0.654541 + 0.780052i
\(539\) −27.6441 15.9604i −1.19072 0.687461i
\(540\) 10.1641 + 5.62957i 0.437391 + 0.242258i
\(541\) 6.50100 36.8690i 0.279500 1.58512i −0.444796 0.895632i \(-0.646724\pi\)
0.724296 0.689489i \(-0.242165\pi\)
\(542\) 29.1853 + 5.14615i 1.25361 + 0.221046i
\(543\) 12.2892 + 15.7316i 0.527379 + 0.675106i
\(544\) 2.82355 + 1.63018i 0.121059 + 0.0698932i
\(545\) 13.5557 + 8.79292i 0.580662 + 0.376647i
\(546\) 1.23892 5.82679i 0.0530209 0.249363i
\(547\) −2.66159 + 0.968739i −0.113801 + 0.0414203i −0.398293 0.917258i \(-0.630397\pi\)
0.284492 + 0.958678i \(0.408175\pi\)
\(548\) −7.33110 + 6.15152i −0.313169 + 0.262780i
\(549\) −3.63823 7.46195i −0.155276 0.318468i
\(550\) 19.4853 4.88026i 0.830856 0.208095i
\(551\) 20.3612 18.1849i 0.867417 0.774704i
\(552\) 12.4598 1.75028i 0.530324 0.0744967i
\(553\) −8.14143 46.1723i −0.346209 1.96345i
\(554\) −8.55080 + 7.17497i −0.363289 + 0.304835i
\(555\) 9.04150 6.33721i 0.383790 0.269000i
\(556\) 20.5143 + 7.46660i 0.870001 + 0.316654i
\(557\) −5.13324 4.30730i −0.217502 0.182506i 0.527526 0.849539i \(-0.323120\pi\)
−0.745028 + 0.667033i \(0.767564\pi\)
\(558\) −1.26170 + 5.05759i −0.0534121 + 0.214105i
\(559\) −1.84695 + 1.06634i −0.0781176 + 0.0451012i
\(560\) 0.447827 8.63291i 0.0189241 0.364807i
\(561\) −0.793243 + 22.6729i −0.0334907 + 0.957252i
\(562\) −17.1075 + 9.87703i −0.721637 + 0.416637i
\(563\) −27.9541 16.1393i −1.17812 0.680190i −0.222543 0.974923i \(-0.571436\pi\)
−0.955580 + 0.294733i \(0.904769\pi\)
\(564\) 7.93459 12.6962i 0.334107 0.534604i
\(565\) 9.42280 + 2.17015i 0.396420 + 0.0912987i
\(566\) −3.15771 + 1.14931i −0.132729 + 0.0483093i
\(567\) 33.0878 + 10.7605i 1.38956 + 0.451897i
\(568\) −12.5256 + 2.20861i −0.525564 + 0.0926711i
\(569\) 39.3716 1.65054 0.825272 0.564735i \(-0.191022\pi\)
0.825272 + 0.564735i \(0.191022\pi\)
\(570\) −16.7634 + 1.99751i −0.702140 + 0.0836664i
\(571\) 21.6060 0.904184 0.452092 0.891971i \(-0.350678\pi\)
0.452092 + 0.891971i \(0.350678\pi\)
\(572\) 3.51977 0.620630i 0.147169 0.0259499i
\(573\) 27.2047 30.2099i 1.13649 1.26204i
\(574\) −21.0546 + 7.66324i −0.878801 + 0.319857i
\(575\) 36.1265 + 3.75819i 1.50658 + 0.156727i
\(576\) 2.74048 + 1.22057i 0.114187 + 0.0508570i
\(577\) −36.8254 21.2611i −1.53306 0.885113i −0.999218 0.0395281i \(-0.987415\pi\)
−0.533842 0.845585i \(-0.679252\pi\)
\(578\) 5.51668 3.18505i 0.229463 0.132481i
\(579\) 37.9315 + 1.32708i 1.57638 + 0.0551518i
\(580\) −13.9856 0.725494i −0.580721 0.0301245i
\(581\) 10.0877 5.82413i 0.418508 0.241626i
\(582\) 8.93590 22.1130i 0.370405 0.916612i
\(583\) 34.9385 + 29.3169i 1.44700 + 1.21418i
\(584\) −11.2358 4.08951i −0.464943 0.169225i
\(585\) 4.07184 + 4.36300i 0.168350 + 0.180388i
\(586\) −15.0697 + 12.6450i −0.622524 + 0.522360i
\(587\) −4.88741 27.7179i −0.201725 1.14404i −0.902510 0.430668i \(-0.858278\pi\)
0.700785 0.713372i \(-0.252833\pi\)
\(588\) −1.91442 13.6283i −0.0789494 0.562021i
\(589\) −2.80877 7.03363i −0.115734 0.289816i
\(590\) −0.102695 + 0.0126649i −0.00422790 + 0.000521404i
\(591\) 19.9873 6.49281i 0.822166 0.267078i
\(592\) 2.18387 1.83248i 0.0897564 0.0753145i
\(593\) 21.6775 7.88996i 0.890188 0.324002i 0.143874 0.989596i \(-0.454044\pi\)
0.746314 + 0.665594i \(0.231822\pi\)
\(594\) 1.45209 + 20.8246i 0.0595800 + 0.854445i
\(595\) 23.6454 + 15.3376i 0.969367 + 0.628781i
\(596\) −17.1793 9.91847i −0.703691 0.406276i
\(597\) 12.7272 9.94222i 0.520889 0.406908i
\(598\) 6.36442 + 1.12222i 0.260260 + 0.0458909i
\(599\) −4.52174 + 25.6440i −0.184753 + 1.04779i 0.741519 + 0.670932i \(0.234106\pi\)
−0.926272 + 0.376855i \(0.877005\pi\)
\(600\) 6.82969 + 5.32497i 0.278821 + 0.217391i
\(601\) 5.09656 + 2.94250i 0.207893 + 0.120027i 0.600332 0.799751i \(-0.295035\pi\)
−0.392439 + 0.919778i \(0.628369\pi\)
\(602\) −5.95708 + 7.09937i −0.242792 + 0.289349i
\(603\) 11.1401 + 0.780456i 0.453659 + 0.0317826i
\(604\) −2.24928 6.17985i −0.0915219 0.251454i
\(605\) 8.40951 + 7.83363i 0.341895 + 0.318482i
\(606\) −27.3269 + 8.87706i −1.11008 + 0.360606i
\(607\) −13.9107 −0.564620 −0.282310 0.959323i \(-0.591101\pi\)
−0.282310 + 0.959323i \(0.591101\pi\)
\(608\) −4.26727 + 0.889035i −0.173061 + 0.0360551i
\(609\) −41.5292 + 5.83378i −1.68285 + 0.236396i
\(610\) −1.81225 5.91635i −0.0733759 0.239546i
\(611\) 5.89084 4.94300i 0.238318 0.199972i
\(612\) −7.91379 + 5.74812i −0.319896 + 0.232354i
\(613\) 1.92488 5.28856i 0.0777452 0.213603i −0.894731 0.446605i \(-0.852633\pi\)
0.972476 + 0.233002i \(0.0748550\pi\)
\(614\) 17.6462 21.0299i 0.712142 0.848697i
\(615\) 5.79949 21.6844i 0.233858 0.874401i
\(616\) 13.4504 7.76559i 0.541932 0.312885i
\(617\) −4.30340 + 24.4058i −0.173248 + 0.982540i 0.766898 + 0.641769i \(0.221799\pi\)
−0.940146 + 0.340771i \(0.889312\pi\)
\(618\) −0.433367 + 12.3868i −0.0174326 + 0.498269i
\(619\) −10.4425 18.0870i −0.419721 0.726978i 0.576190 0.817315i \(-0.304539\pi\)
−0.995911 + 0.0903379i \(0.971205\pi\)
\(620\) −1.51618 + 3.57719i −0.0608912 + 0.143663i
\(621\) −10.4114 + 36.2821i −0.417796 + 1.45595i
\(622\) −13.0551 4.75168i −0.523463 0.190525i
\(623\) −11.2286 30.8505i −0.449866 1.23600i
\(624\) 1.14505 + 1.03114i 0.0458385 + 0.0412786i
\(625\) 15.4334 + 19.6675i 0.617337 + 0.786699i
\(626\) 2.60169 0.103985
\(627\) −19.4008 23.3147i −0.774794 0.931099i
\(628\) 21.8064i 0.870171i
\(629\) 1.61401 + 9.15352i 0.0643549 + 0.364975i
\(630\) 23.1117 + 11.7643i 0.920792 + 0.468702i
\(631\) −15.6660 + 5.70194i −0.623652 + 0.226991i −0.634466 0.772951i \(-0.718780\pi\)
0.0108141 + 0.999942i \(0.496558\pi\)
\(632\) 11.3962 + 4.14788i 0.453316 + 0.164994i
\(633\) 17.8125 + 11.1321i 0.707985 + 0.442463i
\(634\) −8.51626 + 14.7506i −0.338224 + 0.585821i
\(635\) 5.77521 4.35675i 0.229182 0.172892i
\(636\) −0.687535 + 19.6515i −0.0272625 + 0.779234i
\(637\) 1.22746 6.96129i 0.0486339 0.275816i
\(638\) −12.5805 21.7901i −0.498068 0.862678i
\(639\) 9.23576 37.0220i 0.365361 1.46457i
\(640\) 1.87597 + 1.21685i 0.0741543 + 0.0481003i
\(641\) −43.0495 15.6687i −1.70035 0.618878i −0.704488 0.709716i \(-0.748823\pi\)
−0.995866 + 0.0908379i \(0.971045\pi\)
\(642\) 3.79619 + 7.14073i 0.149824 + 0.281822i
\(643\) −10.2594 12.2266i −0.404590 0.482172i 0.524824 0.851211i \(-0.324131\pi\)
−0.929414 + 0.369039i \(0.879687\pi\)
\(644\) 27.6567 4.87662i 1.08983 0.192166i
\(645\) −2.40717 8.96695i −0.0947823 0.353073i
\(646\) 4.44617 13.4981i 0.174932 0.531077i
\(647\) 12.4171 0.488168 0.244084 0.969754i \(-0.421513\pi\)
0.244084 + 0.969754i \(0.421513\pi\)
\(648\) −6.68988 + 6.02042i −0.262803 + 0.236505i
\(649\) −0.119498 0.142412i −0.00469069 0.00559015i
\(650\) 2.49132 + 3.68508i 0.0977177 + 0.144541i
\(651\) −2.41970 + 11.3801i −0.0948355 + 0.446023i
\(652\) −1.66895 + 1.98897i −0.0653610 + 0.0778942i
\(653\) 1.06318 1.84148i 0.0416053 0.0720625i −0.844473 0.535598i \(-0.820086\pi\)
0.886078 + 0.463536i \(0.153419\pi\)
\(654\) −9.86302 + 7.70480i −0.385675 + 0.301281i
\(655\) −0.907197 + 17.4884i −0.0354471 + 0.683327i
\(656\) 1.00641 5.70763i 0.0392937 0.222846i
\(657\) 24.9213 25.8000i 0.972274 1.00656i
\(658\) 16.7084 28.9398i 0.651361 1.12819i
\(659\) −6.27245 5.26321i −0.244340 0.205026i 0.512391 0.858753i \(-0.328760\pi\)
−0.756730 + 0.653727i \(0.773204\pi\)
\(660\) −1.34886 + 15.5009i −0.0525044 + 0.603370i
\(661\) −2.66756 7.32905i −0.103756 0.285067i 0.876942 0.480596i \(-0.159580\pi\)
−0.980698 + 0.195529i \(0.937358\pi\)
\(662\) −4.59341 + 3.85433i −0.178528 + 0.149803i
\(663\) −4.77809 + 1.55215i −0.185566 + 0.0602806i
\(664\) 3.01304i 0.116929i
\(665\) −37.2371 + 5.76397i −1.44399 + 0.223517i
\(666\) 2.35631 + 8.22150i 0.0913053 + 0.318577i
\(667\) −7.90030 44.8048i −0.305901 1.73485i
\(668\) 13.9200 + 16.5892i 0.538579 + 0.641854i
\(669\) −14.4246 27.1331i −0.557689 1.04903i
\(670\) 8.11134 + 1.86811i 0.313368 + 0.0721712i
\(671\) 7.14594 8.51620i 0.275866 0.328764i
\(672\) 6.20828 + 2.50878i 0.239489 + 0.0967782i
\(673\) 15.4166 + 26.7024i 0.594268 + 1.02930i 0.993650 + 0.112517i \(0.0358913\pi\)
−0.399382 + 0.916785i \(0.630775\pi\)
\(674\) 22.6914 + 4.00110i 0.874040 + 0.154117i
\(675\) −22.9291 + 12.2171i −0.882540 + 0.470237i
\(676\) −6.10427 10.5729i −0.234780 0.406650i
\(677\) 8.64881 + 4.99339i 0.332401 + 0.191912i 0.656906 0.753972i \(-0.271865\pi\)
−0.324506 + 0.945884i \(0.605198\pi\)
\(678\) −3.96948 + 6.35157i −0.152447 + 0.243931i
\(679\) 18.2070 50.0234i 0.698722 1.91972i
\(680\) −6.49400 + 3.31321i −0.249034 + 0.127056i
\(681\) −9.97612 + 11.0781i −0.382286 + 0.424516i
\(682\) −6.87436 + 1.21214i −0.263233 + 0.0464151i
\(683\) 9.22304i 0.352910i 0.984309 + 0.176455i \(0.0564630\pi\)
−0.984309 + 0.176455i \(0.943537\pi\)
\(684\) 2.77212 12.7795i 0.105995 0.488636i
\(685\) −2.61922 21.2384i −0.100075 0.811478i
\(686\) −0.634763 3.59992i −0.0242353 0.137445i
\(687\) 0.705114 + 0.634971i 0.0269018 + 0.0242256i
\(688\) −0.819901 2.25266i −0.0312584 0.0858818i
\(689\) −3.45436 + 9.49077i −0.131601 + 0.361570i
\(690\) −11.8782 + 25.5040i −0.452197 + 0.970922i
\(691\) 8.24949 14.2885i 0.313826 0.543562i −0.665362 0.746521i \(-0.731723\pi\)
0.979187 + 0.202959i \(0.0650560\pi\)
\(692\) −5.38735 + 3.11039i −0.204796 + 0.118239i
\(693\) 4.86428 + 46.3389i 0.184779 + 1.76027i
\(694\) −11.7720 2.07572i −0.446859 0.0787933i
\(695\) −38.9700 + 29.3985i −1.47822 + 1.11515i
\(696\) 4.06431 10.0576i 0.154057 0.381233i
\(697\) 14.4751 + 12.1461i 0.548285 + 0.460066i
\(698\) 7.62668 20.9541i 0.288674 0.793126i
\(699\) 1.32217 + 2.48703i 0.0500090 + 0.0940682i
\(700\) 15.6502 + 11.3451i 0.591521 + 0.428804i
\(701\) −6.38170 + 1.12527i −0.241033 + 0.0425007i −0.292860 0.956155i \(-0.594607\pi\)
0.0518263 + 0.998656i \(0.483496\pi\)
\(702\) −4.22342 + 1.87939i −0.159403 + 0.0709331i
\(703\) −9.76123 7.69001i −0.368152 0.290034i
\(704\) 4.01743i 0.151413i
\(705\) 14.1624 + 30.3344i 0.533387 + 1.14246i
\(706\) −18.0072 21.4601i −0.677710 0.807663i
\(707\) −60.2637 + 21.9342i −2.26645 + 0.824920i
\(708\) 0.0166693 0.0783975i 0.000626470 0.00294636i
\(709\) −30.5872 25.6657i −1.14873 0.963896i −0.149037 0.988832i \(-0.547617\pi\)
−0.999689 + 0.0249357i \(0.992062\pi\)
\(710\) 11.0986 26.1853i 0.416521 0.982716i
\(711\) −25.2770 + 26.1682i −0.947962 + 0.981386i
\(712\) 8.36318 + 1.47465i 0.313423 + 0.0552650i
\(713\) −12.4302 2.19177i −0.465513 0.0820826i
\(714\) −17.2042 + 13.4396i −0.643852 + 0.502965i
\(715\) −3.11875 + 7.35820i −0.116635 + 0.275181i
\(716\) 5.60484 + 4.70302i 0.209463 + 0.175760i
\(717\) 13.8095 + 2.93624i 0.515725 + 0.109656i
\(718\) −16.6681 + 6.06669i −0.622048 + 0.226407i
\(719\) −22.3939 26.6880i −0.835152 0.995296i −0.999960 0.00897016i \(-0.997145\pi\)
0.164807 0.986326i \(-0.447300\pi\)
\(720\) −5.62451 + 3.65581i −0.209613 + 0.136244i
\(721\) 27.6643i 1.03027i
\(722\) 7.58751 + 17.4192i 0.282378 + 0.648277i
\(723\) 33.4390 4.69731i 1.24361 0.174695i
\(724\) −11.3503 + 2.00137i −0.421831 + 0.0743802i
\(725\) 18.3794 25.3538i 0.682595 0.941617i
\(726\) −7.86056 + 4.17887i −0.291733 + 0.155092i
\(727\) −17.1263 + 47.0541i −0.635179 + 1.74514i 0.0311866 + 0.999514i \(0.490071\pi\)
−0.666365 + 0.745625i \(0.732151\pi\)
\(728\) 2.63466 + 2.21074i 0.0976469 + 0.0819355i
\(729\) −8.33337 25.6818i −0.308643 0.951178i
\(730\) 21.3442 16.1018i 0.789983 0.595954i
\(731\) 7.69707 + 1.35720i 0.284687 + 0.0501979i
\(732\) 4.79003 + 0.167585i 0.177045 + 0.00619414i
\(733\) −25.6802 + 14.8265i −0.948521 + 0.547629i −0.892621 0.450808i \(-0.851136\pi\)
−0.0558997 + 0.998436i \(0.517803\pi\)
\(734\) −0.435650 + 0.754569i −0.0160801 + 0.0278516i
\(735\) 27.8959 + 12.9922i 1.02895 + 0.479225i
\(736\) −2.48453 + 6.82620i −0.0915811 + 0.251617i
\(737\) 5.11482 + 14.0529i 0.188407 + 0.517644i
\(738\) 14.4132 + 9.72460i 0.530559 + 0.357968i
\(739\) 1.12724 + 6.39289i 0.0414662 + 0.235166i 0.998496 0.0548228i \(-0.0174594\pi\)
−0.957030 + 0.289989i \(0.906348\pi\)
\(740\) 0.780242 + 6.32673i 0.0286823 + 0.232575i
\(741\) 3.38217 5.80294i 0.124247 0.213176i
\(742\) 43.8892i 1.61122i
\(743\) −7.70027 + 1.35777i −0.282496 + 0.0498116i −0.313101 0.949720i \(-0.601368\pi\)
0.0306050 + 0.999532i \(0.490257\pi\)
\(744\) −2.23636 2.01389i −0.0819888 0.0738327i
\(745\) 39.5114 20.1586i 1.44759 0.738553i
\(746\) −5.10560 + 14.0275i −0.186929 + 0.513584i
\(747\) −8.25717 3.67763i −0.302114 0.134557i
\(748\) −11.3434 6.54912i −0.414756 0.239460i
\(749\) 9.02522 + 15.6321i 0.329774 + 0.571186i
\(750\) −18.3002 + 6.33262i −0.668229 + 0.231235i
\(751\) 19.0715 + 3.36281i 0.695928 + 0.122711i 0.510411 0.859930i \(-0.329493\pi\)
0.185516 + 0.982641i \(0.440604\pi\)
\(752\) 4.32194 + 7.48582i 0.157605 + 0.272980i
\(753\) 1.60673 3.97605i 0.0585526 0.144895i
\(754\) 3.58147 4.26823i 0.130430 0.155440i
\(755\) 14.3303 + 3.30037i 0.521532 + 0.120113i
\(756\) −14.4529 + 13.9515i −0.525646 + 0.507411i
\(757\) −0.216899 0.258490i −0.00788332 0.00939498i 0.762088 0.647473i \(-0.224174\pi\)
−0.769972 + 0.638078i \(0.779730\pi\)
\(758\) −2.76198 15.6639i −0.100319 0.568940i
\(759\) −50.0563 + 7.03162i −1.81693 + 0.255232i
\(760\) 3.52483 9.08711i 0.127859 0.329624i
\(761\) 3.44946i 0.125043i 0.998044 + 0.0625214i \(0.0199142\pi\)
−0.998044 + 0.0625214i \(0.980086\pi\)
\(762\) 1.73127 + 5.32948i 0.0627172 + 0.193067i
\(763\) −21.3996 + 17.9564i −0.774716 + 0.650064i
\(764\) 8.02773 + 22.0560i 0.290433 + 0.797958i
\(765\) −1.15341 21.8407i −0.0417014 0.789651i
\(766\) −23.9018 20.0560i −0.863609 0.724654i
\(767\) 0.0205839 0.0356524i 0.000743242 0.00128733i
\(768\) −1.36494 + 1.06627i −0.0492532 + 0.0384756i
\(769\) −1.74841 + 9.91572i −0.0630493 + 0.357570i 0.936919 + 0.349548i \(0.113665\pi\)
−0.999968 + 0.00802243i \(0.997446\pi\)
\(770\) −1.79911 + 34.6821i −0.0648355 + 1.24986i
\(771\) −8.90019 11.3933i −0.320532 0.410318i
\(772\) −10.9566 + 18.9774i −0.394336 + 0.683011i
\(773\) 12.6148 15.0337i 0.453721 0.540724i −0.489888 0.871785i \(-0.662962\pi\)
0.943609 + 0.331061i \(0.107407\pi\)
\(774\) 7.17411 + 0.502606i 0.257868