Properties

Label 570.2.bf.a.59.25
Level $570$
Weight $2$
Character 570.59
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 59.25
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.25

$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

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

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 −0.974120 0.226034i \(-0.927424\pi\)
−0.291309 + 0.956629i \(0.594091\pi\)
\(8\) 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 −0.126643 0.991948i \(-0.540420\pi\)
−0.922374 + 0.386298i \(0.873754\pi\)
\(12\) −1.60589 + 0.648943i −0.463580 + 0.187334i
\(13\) −0.681504 + 0.571849i −0.189015 + 0.158602i −0.732385 0.680891i \(-0.761593\pi\)
0.543370 + 0.839494i \(0.317148\pi\)
\(14\) −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 −0.835909 0.548868i \(-0.815059\pi\)
0.973221 0.229870i \(-0.0738300\pi\)
\(18\) 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 −0.488340 0.872653i \(-0.662397\pi\)
−0.935021 + 0.354592i \(0.884620\pi\)
\(24\) −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 −0.902162 0.431397i \(-0.858021\pi\)
0.700209 0.713938i \(-0.253090\pi\)
\(30\) 2.73733 + 2.73989i 0.499767 + 0.500233i
\(31\) 1.50475 0.868765i 0.270260 0.156035i −0.358746 0.933435i \(-0.616795\pi\)
0.629006 + 0.777401i \(0.283462\pi\)
\(32\) 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 0.919880 0.392201i \(-0.128286\pi\)
−0.226507 + 0.974010i \(0.572731\pi\)
\(42\) 3.14320 5.91244i 0.485007 0.912309i
\(43\) 0.819901 + 2.25266i 0.125034 + 0.343527i 0.986378 0.164494i \(-0.0525992\pi\)
−0.861344 + 0.508022i \(0.830377\pi\)
\(44\) −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 −0.873933 0.486047i \(-0.838438\pi\)
0.654990 0.755637i \(-0.272673\pi\)
\(48\) −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 0.321702 + 0.946841i \(0.395745\pi\)
−0.855056 + 0.518536i \(0.826477\pi\)
\(54\) 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 −0.984280 0.176614i \(-0.943486\pi\)
0.985326 + 0.170681i \(0.0545967\pi\)
\(60\) 2.21997 + 3.17360i 0.286597 + 0.409710i
\(61\) −2.60033 0.946444i −0.332939 0.121180i 0.170141 0.985420i \(-0.445578\pi\)
−0.503080 + 0.864240i \(0.667800\pi\)
\(62\) 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 0.998496 + 0.0548318i \(0.0174622\pi\)
−0.919525 + 0.393031i \(0.871427\pi\)
\(68\) 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 −0.933589 0.358345i \(-0.883341\pi\)
−0.484831 + 0.874608i \(0.661119\pi\)
\(72\) 1.76304 2.42728i 0.207776 0.286058i
\(73\) −7.68577 + 9.15955i −0.899552 + 1.07204i 0.0974943 + 0.995236i \(0.468917\pi\)
−0.997046 + 0.0768078i \(0.975527\pi\)
\(74\) 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 −0.121555 0.992585i \(-0.538788\pi\)
0.998613 0.0526520i \(-0.0167674\pi\)
\(80\) 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 0.771422 0.636324i \(-0.219546\pi\)
−0.936784 + 0.349909i \(0.886213\pi\)
\(84\) 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 −0.229215 0.973376i \(-0.573616\pi\)
0.918785 + 0.394757i \(0.129171\pi\)
\(90\) −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 −0.582806 0.812611i \(-0.698045\pi\)
0.825588 0.564273i \(-0.190843\pi\)
\(98\) 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 0.963063 + 0.269275i \(0.0867840\pi\)
0.0979496 + 0.995191i \(0.468772\pi\)
\(102\) 2.11578 + 5.23576i 0.209494 + 0.518417i
\(103\) −3.57794 + 6.19717i −0.352545 + 0.610626i −0.986695 0.162585i \(-0.948017\pi\)
0.634150 + 0.773210i \(0.281350\pi\)
\(104\) −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 −0.682552 0.730837i \(-0.739130\pi\)
0.291648 + 0.956526i \(0.405797\pi\)
\(108\) 1.43323 + 4.99458i 0.137913 + 0.480604i
\(109\) 2.47142 + 6.79017i 0.236719 + 0.650381i 0.999991 + 0.00430289i \(0.00136966\pi\)
−0.763272 + 0.646078i \(0.776408\pi\)
\(110\) −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 \(0.0651988\pi\)
−0.979096 + 0.203399i \(0.934801\pi\)
\(114\) 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 −0.746090 0.665845i \(-0.768071\pi\)
0.526172 + 0.850378i \(0.323627\pi\)
\(128\) 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 0.500095 0.865971i \(-0.333299\pi\)
0.173756 + 0.984789i \(0.444410\pi\)
\(132\) 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 −0.0720248 0.997403i \(-0.522946\pi\)
−0.696292 + 0.717758i \(0.745168\pi\)
\(138\) 12.3070 2.61678i 1.04764 0.222755i
\(139\) 16.7234 14.0326i 1.41846 1.19023i 0.466304 0.884625i \(-0.345585\pi\)
0.952158 0.305606i \(-0.0988591\pi\)
\(140\) 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 −0.0757813 + 0.997124i \(0.524145\pi\)
−0.968817 + 0.247779i \(0.920299\pi\)
\(150\) 4.59657 7.33973i 0.375308 0.599286i
\(151\) 6.57645i 0.535184i 0.963532 + 0.267592i \(0.0862280\pi\)
−0.963532 + 0.267592i \(0.913772\pi\)
\(152\) −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 −0.760649 0.649163i \(-0.775119\pi\)
0.165417 0.986224i \(-0.447103\pi\)
\(158\) 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 0.409348 0.912378i \(-0.365756\pi\)
−0.585469 + 0.810695i \(0.699090\pi\)
\(164\) 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 −0.226363 0.974043i \(-0.572683\pi\)
0.799507 0.600657i \(-0.205094\pi\)
\(168\) 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 −0.0641627 0.997939i \(-0.520438\pi\)
−0.401609 + 0.915811i \(0.631549\pi\)
\(174\) 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 −0.696305 0.717746i \(-0.745174\pi\)
0.969739 + 0.244145i \(0.0785071\pi\)
\(180\) −6.53567 1.51164i −0.487140 0.112671i
\(181\) −11.3503 + 2.00137i −0.843663 + 0.148760i −0.578743 0.815510i \(-0.696457\pi\)
−0.264920 + 0.964270i \(0.585345\pi\)
\(182\) 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 \(-0.677103\pi\)
0.528121 0.849169i \(-0.322897\pi\)
\(192\) −1.64731 0.535125i −0.118885 0.0386193i
\(193\) −16.7865 14.0855i −1.20832 1.01390i −0.999353 0.0359748i \(-0.988546\pi\)
−0.208964 0.977923i \(-0.567009\pi\)
\(194\) 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 0.564836 0.825203i \(-0.308940\pi\)
−0.997065 + 0.0765605i \(0.975606\pi\)
\(198\) −8.66860 + 8.37336i −0.616051 + 0.595069i
\(199\) −1.61915 9.18266i −0.114779 0.650942i −0.986860 0.161580i \(-0.948341\pi\)
0.872081 0.489362i \(-0.162770\pi\)
\(200\) −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 −0.253300 0.967388i \(-0.581516\pi\)
−0.568891 + 0.822413i \(0.692627\pi\)
\(212\) −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 0.283067 0.959100i \(-0.408648\pi\)
0.833339 + 0.552762i \(0.186426\pi\)
\(224\) −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 \(0.0922054\pi\)
−0.958338 + 0.285638i \(0.907795\pi\)
\(228\) 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 −0.391590 0.920140i \(-0.628075\pi\)
0.291479 + 0.956577i \(0.405853\pi\)
\(234\) 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 0.254005 0.967203i \(-0.418252\pi\)
−0.710620 + 0.703576i \(0.751585\pi\)
\(240\) 1.00066 + 3.74148i 0.0645921 + 0.241512i
\(241\) −12.5315 14.9345i −0.807225 0.962013i 0.192589 0.981279i \(-0.438311\pi\)
−0.999814 + 0.0192662i \(0.993867\pi\)
\(242\) 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 −0.910094 0.414401i \(-0.863991\pi\)
0.963545 + 0.267547i \(0.0862132\pi\)
\(252\) 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 0.0887217 0.996056i \(-0.471722\pi\)
0.424043 + 0.905642i \(0.360611\pi\)
\(258\) −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 0.619202 0.785232i \(-0.287456\pi\)
−0.665779 + 0.746149i \(0.731901\pi\)
\(264\) 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 −0.105527 0.994416i \(-0.533653\pi\)
−0.997634 + 0.0687551i \(0.978097\pi\)
\(270\) 9.03207 7.30901i 0.549674 0.444812i
\(271\) 27.8483 10.1359i 1.69166 0.615714i 0.696828 0.717238i \(-0.254594\pi\)
0.994833 + 0.101523i \(0.0323717\pi\)
\(272\) 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 0.180638 0.983550i \(-0.442184\pi\)
−0.761460 + 0.648212i \(0.775517\pi\)
\(278\) 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 −0.277336 0.960773i \(-0.589452\pi\)
−0.830025 + 0.557727i \(0.811674\pi\)
\(282\) 10.0187 + 11.1254i 0.596606 + 0.662510i
\(283\) −3.30932 0.583522i −0.196719 0.0346868i 0.0744206 0.997227i \(-0.476289\pi\)
−0.271139 + 0.962540i \(0.587400\pi\)
\(284\) −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 −0.0884356 0.996082i \(-0.528187\pi\)
−0.906850 + 0.421453i \(0.861520\pi\)
\(294\) 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 0.999623 + 0.0274503i \(0.00873881\pi\)
0.200616 + 0.979670i \(0.435706\pi\)
\(308\) 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 −0.800704 0.599061i \(-0.795541\pi\)
0.118450 + 0.992960i \(0.462207\pi\)
\(312\) 0.948594 1.21431i 0.0537036 0.0687467i
\(313\) 2.56217 0.451779i 0.144822 0.0255361i −0.100767 0.994910i \(-0.532130\pi\)
0.245589 + 0.969374i \(0.421019\pi\)
\(314\) −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 0.365270 0.930901i \(-0.380977\pi\)
−0.980188 + 0.198072i \(0.936532\pi\)
\(318\) −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 0.350450 0.936582i \(-0.386029\pi\)
−0.635878 + 0.771789i \(0.719362\pi\)
\(332\) −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 0.323444 0.946247i \(-0.395159\pi\)
0.856009 + 0.516962i \(0.172937\pi\)
\(338\) −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 −0.625439 0.780273i \(-0.715080\pi\)
0.0224354 + 0.999748i \(0.492858\pi\)
\(348\) 5.74905 + 9.19906i 0.308181 + 0.493121i
\(349\) 11.1495 + 19.3114i 0.596817 + 1.03372i 0.993288 + 0.115670i \(0.0369016\pi\)
−0.396470 + 0.918048i \(0.629765\pi\)
\(350\) 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 0.204427 + 0.978882i \(0.434467\pi\)
−0.949950 + 0.312402i \(0.898866\pi\)
\(354\) 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 −0.307521 0.951541i \(-0.599500\pi\)
−0.614422 + 0.788978i \(0.710611\pi\)
\(360\) −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 0.751229 0.660042i \(-0.229461\pi\)
−0.780464 + 0.625201i \(0.785017\pi\)
\(368\) −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 0.605506 0.795841i \(-0.292971\pi\)
−0.991971 + 0.126463i \(0.959638\pi\)
\(374\) −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 \(0.133951\pi\)
−0.912755 + 0.408507i \(0.866049\pi\)
\(380\) 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 −0.0498995 + 0.998754i \(0.515890\pi\)
−0.974916 + 0.222573i \(0.928554\pi\)
\(384\) −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 −0.0493178 0.998783i \(-0.515705\pi\)
0.295260 + 0.955417i \(0.404594\pi\)
\(390\) −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 0.872629 0.488383i \(-0.162413\pi\)
0.652966 + 0.757387i \(0.273524\pi\)
\(398\) 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 0.460411 + 0.887706i \(0.347702\pi\)
−0.736258 + 0.676701i \(0.763409\pi\)
\(402\) −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 0.420014 0.907518i \(-0.362025\pi\)
0.705073 + 0.709135i \(0.250914\pi\)
\(410\) 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 \(0.159347\pi\)
−0.877293 + 0.479954i \(0.840653\pi\)
\(420\) −13.5670 6.33409i −0.662000 0.309072i
\(421\) −7.30361 + 8.70410i −0.355956 + 0.424212i −0.914073 0.405551i \(-0.867080\pi\)
0.558117 + 0.829763i \(0.311524\pi\)
\(422\) −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 −0.346030 0.938223i \(-0.612471\pi\)
0.863882 + 0.503694i \(0.168026\pi\)
\(432\) −0.361447 + 5.18357i −0.0173901 + 0.249394i
\(433\) 5.13986 + 1.87075i 0.247006 + 0.0899027i 0.462556 0.886590i \(-0.346932\pi\)
−0.215550 + 0.976493i \(0.569155\pi\)
\(434\) −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 −0.504143 0.863620i \(-0.668191\pi\)
−0.769115 + 0.639111i \(0.779303\pi\)
\(440\) −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 0.459448 0.888205i \(-0.348047\pi\)
0.954493 0.298232i \(-0.0963970\pi\)
\(444\) −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 0.993464 0.114150i \(-0.0364145\pi\)
−0.595589 + 0.803290i \(0.703081\pi\)
\(450\) 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 \(-0.993581\pi\)
0.999797 0.0201661i \(-0.00641949\pi\)
\(458\) −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 0.998361 0.0572241i \(-0.0182249\pi\)
−0.801572 + 0.597898i \(0.796003\pi\)
\(462\) −22.8122 + 14.2567i −1.06132 + 0.663284i
\(463\) 30.4784 17.5967i 1.41645 0.817789i 0.420467 0.907308i \(-0.361866\pi\)
0.995985 + 0.0895191i \(0.0285330\pi\)
\(464\) 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 −0.935679 0.352853i \(-0.885212\pi\)
0.773419 + 0.633895i \(0.218545\pi\)
\(468\) 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 −0.260715 0.965416i \(-0.583958\pi\)
0.820277 0.571967i \(-0.193819\pi\)
\(480\) 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 0.794713 0.606985i \(-0.207621\pi\)
−0.923021 + 0.384749i \(0.874288\pi\)
\(488\) −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 0.0144039 + 0.999896i \(0.495415\pi\)
−0.987207 + 0.159445i \(0.949030\pi\)
\(492\) −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 −0.956680 0.291140i \(-0.905965\pi\)
−0.545719 + 0.837969i \(0.683743\pi\)
\(500\) 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 0.961266 0.275624i \(-0.0888844\pi\)
−0.997563 + 0.0697704i \(0.977773\pi\)
\(504\) −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 0.0727656 0.997349i \(-0.476817\pi\)
−0.585342 + 0.810787i \(0.699040\pi\)
\(510\) 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 −0.803009 0.595968i \(-0.796769\pi\)
0.917627 + 0.397442i \(0.130102\pi\)
\(522\) −18.6862 1.96153i −0.817874 0.0858538i
\(523\) 6.20970 + 35.2170i 0.271531 + 1.53993i 0.749769 + 0.661700i \(0.230165\pi\)
−0.478237 + 0.878231i \(0.658724\pi\)
\(524\) 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 0.724296 + 0.689489i \(0.242165\pi\)
−0.444796 + 0.895632i \(0.646724\pi\)
\(542\) 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 0.284492 0.958678i \(-0.408175\pi\)
−0.398293 + 0.917258i \(0.630397\pi\)
\(548\) −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 −0.745028 0.667033i \(-0.767564\pi\)
0.527526 + 0.849539i \(0.323120\pi\)
\(558\) −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 −0.955580 0.294733i \(-0.904769\pi\)
−0.222543 + 0.974923i \(0.571436\pi\)
\(564\) 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 −0.533842 + 0.845585i \(0.679252\pi\)
−0.999218 + 0.0395281i \(0.987415\pi\)
\(578\) 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 0.700785 + 0.713372i \(0.252833\pi\)
−0.902510 + 0.430668i \(0.858278\pi\)
\(588\) −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 0.746314 0.665594i \(-0.231822\pi\)
0.143874 + 0.989596i \(0.454044\pi\)
\(594\) 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 −0.926272 0.376855i \(-0.877005\pi\)
0.741519 0.670932i \(-0.234106\pi\)
\(600\) 6.82969 5.32497i 0.278821 0.217391i
\(601\) 5.09656 2.94250i 0.207893 0.120027i −0.392439 0.919778i \(-0.628369\pi\)
0.600332 + 0.799751i \(0.295035\pi\)
\(602\) −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 0.972476 0.233002i \(-0.0748550\pi\)
−0.894731 + 0.446605i \(0.852633\pi\)
\(614\) 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 −0.940146 0.340771i \(-0.889312\pi\)
0.766898 0.641769i \(-0.221799\pi\)
\(618\) −0.433367 12.3868i −0.0174326 0.498269i
\(619\) −10.4425 + 18.0870i −0.419721 + 0.726978i −0.995911 0.0903379i \(-0.971205\pi\)
0.576190 + 0.817315i \(0.304539\pi\)
\(620\) −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 0.0108141 0.999942i \(-0.496558\pi\)
−0.634466 + 0.772951i \(0.718780\pi\)
\(632\) 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 −0.995866 0.0908379i \(-0.971045\pi\)
−0.704488 + 0.709716i \(0.748823\pi\)
\(642\) 3.79619 7.14073i 0.149824 0.281822i
\(643\) −10.2594 + 12.2266i −0.404590 + 0.482172i −0.929414 0.369039i \(-0.879687\pi\)
0.524824 + 0.851211i \(0.324131\pi\)
\(644\) 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 0.886078 0.463536i \(-0.153419\pi\)
−0.844473 + 0.535598i \(0.820086\pi\)
\(654\) −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 −0.756730 0.653727i \(-0.773204\pi\)
0.512391 + 0.858753i \(0.328760\pi\)
\(660\) −1.34886 15.5009i −0.0525044 0.603370i
\(661\) −2.66756 + 7.32905i −0.103756 + 0.285067i −0.980698 0.195529i \(-0.937358\pi\)
0.876942 + 0.480596i \(0.159580\pi\)
\(662\) −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 −0.399382 0.916785i \(-0.630775\pi\)
0.993650 0.112517i \(-0.0358913\pi\)
\(674\) 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 −0.324506 0.945884i \(-0.605198\pi\)
0.656906 + 0.753972i \(0.271865\pi\)
\(678\) −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 \(-0.943537\pi\)
0.984309 0.176455i \(-0.0564630\pi\)
\(684\) 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 0.979187 0.202959i \(-0.0650560\pi\)
−0.665362 + 0.746521i \(0.731723\pi\)
\(692\) −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 0.0518263 0.998656i \(-0.483496\pi\)
−0.292860 + 0.956155i \(0.594607\pi\)
\(702\) −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 −0.999689 0.0249357i \(-0.992062\pi\)
−0.149037 + 0.988832i \(0.547617\pi\)
\(710\) 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 0.164807 + 0.986326i \(0.447300\pi\)
−0.999960 + 0.00897016i \(0.997145\pi\)
\(720\) −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 −0.666365 0.745625i \(-0.732151\pi\)
0.0311866 0.999514i \(-0.490071\pi\)
\(728\) 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 −0.0558997 0.998436i \(-0.517803\pi\)
−0.892621 + 0.450808i \(0.851136\pi\)
\(734\) −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 −0.957030 0.289989i \(-0.906348\pi\)
0.998496 + 0.0548228i \(0.0174594\pi\)
\(740\) 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 0.0306050 0.999532i \(-0.490257\pi\)
−0.313101 + 0.949720i \(0.601368\pi\)
\(744\) −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 0.185516 0.982641i \(-0.440604\pi\)
0.510411 + 0.859930i \(0.329493\pi\)
\(752\) 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 −0.769972 0.638078i \(-0.779730\pi\)
0.762088 + 0.647473i \(0.224174\pi\)
\(758\) −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 \(-0.980086\pi\)
0.998044 0.0625214i \(-0.0199142\pi\)
\(762\) 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 −0.999968 0.00802243i \(-0.997446\pi\)
0.936919 0.349548i \(-0.113665\pi\)
\(770\) −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 0.943609 0.331061i \(-0.107407\pi\)
−0.489888 + 0.871785i \(0.662962\pi\)