Properties

Label 570.2.bf.a.29.16
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 29.16
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.28709 + 1.15905i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.01621 + 1.99181i) q^{5} +(-1.46880 - 0.917943i) q^{6} +(3.34801 + 1.93297i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.313195 + 2.98361i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(1.28709 + 1.15905i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.01621 + 1.99181i) 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} +(0.654901 - 2.13801i) 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} +(-3.61657 + 1.38579i) 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} +(-2.93462 - 4.04821i) 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} +(3.32099 - 1.99275i) 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} +(-7.25241 + 4.70429i) q^{35} +(1.31476 + 2.69655i) q^{36} -2.85084 q^{37} +(3.84038 + 2.06191i) q^{38} +(0.214352 + 1.52592i) q^{39} +(-0.115839 - 2.23307i) 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} +(-6.26105 - 2.40816i) 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} +(3.59300 + 3.47712i) 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} +(-0.465374 - 8.97119i) q^{55} -3.86595 q^{56} +(-1.28048 - 7.44045i) q^{57} -6.26297i q^{58} +(0.00803551 + 0.0455717i) q^{59} +(-2.92450 + 2.53916i) 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} +(-1.83157 + 0.776305i) 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} +(6.32534 - 5.89219i) 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} +(0.914971 - 8.61178i) q^{75} +(-4.14008 - 1.36371i) q^{76} -15.5312 q^{77} +(-0.476069 - 1.46552i) q^{78} +(7.79546 + 9.29027i) q^{79} +(0.501847 + 2.17902i) 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} +(6.97068 + 2.13521i) 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} +(6.58411 + 1.28435i) q^{90} +(1.17631 + 3.23189i) q^{91} +(5.56477 - 4.66940i) q^{92} +(0.929796 + 2.86226i) q^{93} +8.64388i q^{94} +(8.85233 - 4.07875i) 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
\(5\) −1.01621 + 1.99181i −0.454464 + 0.890765i
\(6\) −1.46880 0.917943i −0.599636 0.374749i
\(7\) 3.34801 + 1.93297i 1.26543 + 0.730595i 0.974120 0.226034i \(-0.0725759\pi\)
0.291309 + 0.956629i \(0.405909\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 0.313195 + 2.98361i 0.104398 + 0.994536i
\(10\) 0.654901 2.13801i 0.207098 0.676099i
\(11\) −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 0.732385 0.680891i \(-0.238407\pi\)
−0.543370 + 0.839494i \(0.682852\pi\)
\(14\) −3.63280 1.32223i −0.970907 0.353381i
\(15\) −3.61657 + 1.38579i −0.933794 + 0.357810i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.566154 3.21082i −0.137313 0.778738i −0.973221 0.229870i \(-0.926170\pi\)
0.835909 0.548868i \(-0.184941\pi\)
\(18\) −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 \(-0.337603\pi\)
0.935021 + 0.354592i \(0.115380\pi\)
\(24\) −1.69418 0.360225i −0.345823 0.0735305i
\(25\) −2.93462 4.04821i −0.586924 0.809642i
\(26\) −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 \(0.858021\pi\)
\(30\) 3.32099 1.99275i 0.606326 0.363825i
\(31\) 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
\(35\) −7.25241 + 4.70429i −1.22588 + 0.795170i
\(36\) 1.31476 + 2.69655i 0.219127 + 0.449426i
\(37\) −2.85084 −0.468674 −0.234337 0.972155i \(-0.575292\pi\)
−0.234337 + 0.972155i \(0.575292\pi\)
\(38\) 3.84038 + 2.06191i 0.622992 + 0.334486i
\(39\) 0.214352 + 1.52592i 0.0343238 + 0.244343i
\(40\) −0.115839 2.23307i −0.0183157 0.353079i
\(41\) 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 −0.986378 0.164494i \(-0.947401\pi\)
0.861344 + 0.508022i \(0.169623\pi\)
\(44\) −2.58236 + 3.07753i −0.389305 + 0.463955i
\(45\) −6.26105 2.40816i −0.933343 0.358987i
\(46\) −6.29106 + 3.63214i −0.927566 + 0.535531i
\(47\) 1.50099 8.51256i 0.218943 1.24168i −0.654990 0.755637i \(-0.727327\pi\)
0.873933 0.486047i \(-0.161562\pi\)
\(48\) 1.73099 + 0.0605610i 0.249847 + 0.00874123i
\(49\) 3.97278 + 6.88105i 0.567539 + 0.983007i
\(50\) 3.59300 + 3.47712i 0.508127 + 0.491739i
\(51\) 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 \(0.173523\pi\)
−0.321702 + 0.946841i \(0.604255\pi\)
\(54\) 2.27876 4.66982i 0.310100 0.635482i
\(55\) −0.465374 8.97119i −0.0627510 1.20967i
\(56\) −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 \(0.943486\pi\)
\(60\) −2.92450 + 2.53916i −0.377551 + 0.327804i
\(61\) −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
\(65\) −1.83157 + 0.776305i −0.227178 + 0.0962888i
\(66\) 6.95414 + 0.243300i 0.855996 + 0.0299481i
\(67\) −0.646399 + 3.66591i −0.0789702 + 0.447862i 0.919525 + 0.393031i \(0.128573\pi\)
−0.998496 + 0.0548318i \(0.982538\pi\)
\(68\) −1.63018 2.82355i −0.197688 0.342405i
\(69\) 11.6656 + 4.71411i 1.40438 + 0.567512i
\(70\) 6.32534 5.89219i 0.756023 0.704251i
\(71\) −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 \(0.0244728\pi\)
−0.0974943 + 0.995236i \(0.531083\pi\)
\(74\) 2.80752 0.495042i 0.326368 0.0575475i
\(75\) 0.914971 8.61178i 0.105652 0.994403i
\(76\) −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 \(0.538788\pi\)
\(80\) 0.501847 + 2.17902i 0.0561082 + 0.243622i
\(81\) −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 \(-0.780454\pi\)
0.936784 + 0.349909i \(0.113787\pi\)
\(84\) 4.12213 + 5.27680i 0.449762 + 0.575747i
\(85\) 6.97068 + 2.13521i 0.756076 + 0.231596i
\(86\) 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 \(0.573616\pi\)
\(90\) 6.58411 + 1.28435i 0.694026 + 0.135382i
\(91\) 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
\(95\) 8.85233 4.07875i 0.908230 0.418471i
\(96\) −1.71521 + 0.240943i −0.175058 + 0.0245911i
\(97\) −2.39112 13.5607i −0.242782 1.37688i −0.825588 0.564273i \(-0.809157\pi\)
0.582806 0.812611i \(-0.301955\pi\)
\(98\) −5.10730 6.08665i −0.515915 0.614844i
\(99\) −7.08288 9.75144i −0.711857 0.980056i
\(100\) −4.14221 2.80037i −0.414221 0.280037i
\(101\) 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 0.986695 0.162585i \(-0.0519830\pi\)
−0.634150 + 0.773210i \(0.718650\pi\)
\(104\) −0.876124 0.154484i −0.0859110 0.0151484i
\(105\) −14.7870 2.35109i −1.44306 0.229443i
\(106\) −5.67638 9.83178i −0.551339 0.954947i
\(107\) 4.04355 + 2.33454i 0.390904 + 0.225689i 0.682552 0.730837i \(-0.260870\pi\)
−0.291648 + 0.956526i \(0.594203\pi\)
\(108\) −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 \(-0.00136966\pi\)
\(110\) 2.01613 + 8.75408i 0.192231 + 0.834669i
\(111\) −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
\(120\) 2.43915 3.00842i 0.222662 0.274630i
\(121\) 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
\(125\) 11.0455 1.73136i 0.987937 0.154858i
\(126\) 2.80725 11.2530i 0.250089 1.00249i
\(127\) 2.47835 + 2.07958i 0.219918 + 0.184533i 0.746090 0.665845i \(-0.231929\pi\)
−0.526172 + 0.850378i \(0.676373\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) −3.66624 + 1.94906i −0.322794 + 0.171606i
\(130\) 1.66894 1.08256i 0.146376 0.0949468i
\(131\) 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
\(135\) −5.26735 10.3564i −0.453341 0.891337i
\(136\) 2.09571 + 2.49757i 0.179706 + 0.214165i
\(137\) 8.99292 3.27316i 0.768317 0.279645i 0.0720248 0.997403i \(-0.477054\pi\)
0.696292 + 0.717758i \(0.254832\pi\)
\(138\) −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 \(0.345585\pi\)
\(140\) −5.20608 + 6.90105i −0.439994 + 0.583245i
\(141\) 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
\(145\) −11.1799 8.43402i −0.928444 0.700407i
\(146\) −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 \(-0.524145\pi\)
\(150\) 0.594350 + 8.63983i 0.0485285 + 0.705440i
\(151\) 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
\(155\) −3.25956 + 2.11432i −0.261814 + 0.169826i
\(156\) 0.723320 + 1.36058i 0.0579120 + 0.108934i
\(157\) 7.45824 20.4913i 0.595232 1.63539i −0.165417 0.986224i \(-0.552897\pi\)
0.760649 0.649163i \(-0.224881\pi\)
\(158\) −9.29027 7.79546i −0.739094 0.620173i
\(159\) −7.36729 + 18.2313i −0.584264 + 1.44583i
\(160\) −0.872606 2.05878i −0.0689856 0.162761i
\(161\) 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 \(-0.634244\pi\)
0.585469 + 0.810695i \(0.300910\pi\)
\(164\) 2.89784 5.01921i 0.226283 0.391934i
\(165\) 9.79910 12.0861i 0.762859 0.940902i
\(166\) −1.03052 + 2.83133i −0.0799840 + 0.219754i
\(167\) −7.40665 20.3496i −0.573144 1.57470i −0.799507 0.600657i \(-0.794906\pi\)
0.226363 0.974043i \(-0.427317\pi\)
\(168\) −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 \(-0.479562\pi\)
0.401609 + 0.915811i \(0.368451\pi\)
\(174\) 7.25911 8.06099i 0.550312 0.611102i
\(175\) −2.00005 19.2260i −0.151190 1.45335i
\(176\) −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 \(0.745174\pi\)
\(180\) −6.70710 0.121521i −0.499918 0.00905762i
\(181\) −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
\(185\) 2.89706 5.67832i 0.212996 0.417479i
\(186\) −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
\(190\) −8.00958 + 5.55397i −0.581076 + 0.402928i
\(191\) 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 \(-0.432991\pi\)
0.999353 0.0359748i \(-0.0114536\pi\)
\(194\) 4.70959 + 12.9395i 0.338129 + 0.929002i
\(195\) −3.25717 1.12371i −0.233251 0.0804706i
\(196\) 6.08665 + 5.10730i 0.434760 + 0.364807i
\(197\) 6.06663 10.5077i 0.432229 0.748643i −0.564836 0.825203i \(-0.691060\pi\)
0.997065 + 0.0765605i \(0.0243938\pi\)
\(198\) 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 \(0.948341\pi\)
\(200\) 4.56556 + 2.03854i 0.322834 + 0.144147i
\(201\) −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
\(205\) 2.90854 + 12.6289i 0.203142 + 0.882043i
\(206\) −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
\(210\) 14.9706 0.252366i 1.03307 0.0174149i
\(211\) −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
\(215\) −3.65368 3.92227i −0.249179 0.267497i
\(216\) 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
\(220\) −3.50564 8.27099i −0.236350 0.557630i
\(221\) 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 \(-0.591352\pi\)
−0.833339 + 0.552762i \(0.813574\pi\)
\(224\) −3.63280 + 1.32223i −0.242727 + 0.0883453i
\(225\) 11.1592 10.0236i 0.743944 0.668242i
\(226\) −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 \(0.505762\pi\)
\(230\) −0.841486 16.2216i −0.0554860 1.06962i
\(231\) −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 \(-0.371925\pi\)
−0.291479 + 0.956577i \(0.594147\pi\)
\(234\) 1.08587 2.43804i 0.0709853 0.159379i
\(235\) 15.4301 + 11.6403i 1.00655 + 0.759328i
\(236\) 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 \(0.418252\pi\)
\(240\) −1.87968 + 3.38627i −0.121333 + 0.218582i
\(241\) −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
\(245\) −17.7429 + 0.920403i −1.13355 + 0.0588024i
\(246\) −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
\(250\) −10.5770 + 3.62309i −0.668949 + 0.229144i
\(251\) 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
\(255\) 6.49707 + 10.8276i 0.406862 + 0.678049i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −8.22024 1.44945i −0.512764 0.0904142i −0.0887217 0.996056i \(-0.528278\pi\)
−0.424043 + 0.905642i \(0.639389\pi\)
\(258\) 3.27209 2.55609i 0.203711 0.159135i
\(259\) −9.54462 5.51059i −0.593074 0.342411i
\(260\) −1.45560 + 1.35592i −0.0902725 + 0.0840907i
\(261\) −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 \(-0.712544\pi\)
0.665779 + 0.746149i \(0.268099\pi\)
\(264\) 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 \(0.533653\pi\)
\(270\) 6.98570 + 9.28440i 0.425136 + 0.565030i
\(271\) 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
\(275\) 18.3418 + 8.18970i 1.10605 + 0.493858i
\(276\) 12.5744 + 0.439933i 0.756891 + 0.0264808i
\(277\) 9.66682 5.58114i 0.580823 0.335338i −0.180638 0.983550i \(-0.557816\pi\)
0.761460 + 0.648212i \(0.224483\pi\)
\(278\) −18.9061 10.9154i −1.13391 0.654664i
\(279\) −2.12078 + 4.76166i −0.126967 + 0.285073i
\(280\) 3.92863 7.70024i 0.234780 0.460177i
\(281\) −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 −0.0744206 0.997227i \(-0.523711\pi\)
0.271139 + 0.962540i \(0.412600\pi\)
\(284\) −12.7189 −0.754725
\(285\) 16.1212 + 5.01061i 0.954939 + 0.296803i
\(286\) 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
\(290\) 12.4746 + 6.36451i 0.732536 + 0.373737i
\(291\) 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 \(-0.471813\pi\)
0.906850 + 0.421453i \(0.138480\pi\)
\(294\) 0.481191 13.7537i 0.0280636 0.802131i
\(295\) −0.0989359 0.0303053i −0.00576027 0.00176444i
\(296\) 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
\(300\) −2.08561 8.40537i −0.120413 0.485284i
\(301\) −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 \(0.564294\pi\)
−0.999623 + 0.0274503i \(0.991261\pi\)
\(308\) −14.5945 + 5.31198i −0.831601 + 0.302678i
\(309\) −2.57772 + 12.1233i −0.146642 + 0.689672i
\(310\) 2.84289 2.64821i 0.161465 0.150408i
\(311\) −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 0.100767 0.994910i \(-0.467870\pi\)
−0.245589 + 0.969374i \(0.578981\pi\)
\(314\) −3.78665 + 21.4751i −0.213693 + 1.21191i
\(315\) −16.3072 20.1650i −0.918804 1.13617i
\(316\) 10.5028 + 6.06379i 0.590828 + 0.341115i
\(317\) 10.9483 13.0477i 0.614917 0.732830i −0.365270 0.930901i \(-0.619023\pi\)
0.980188 + 0.198072i \(0.0634679\pi\)
\(318\) 4.08954 19.2336i 0.229330 1.07857i
\(319\) −8.60558 23.6436i −0.481820 1.32379i
\(320\) 1.21685 + 1.87597i 0.0680241 + 0.104870i
\(321\) 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
\(325\) 0.315012 4.43703i 0.0174737 0.246122i
\(326\) −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
\(330\) −7.55150 + 13.6041i −0.415696 + 0.748880i
\(331\) −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
\(335\) −6.64492 5.01285i −0.363051 0.273881i
\(336\) 5.67831 + 3.54872i 0.309777 + 0.193599i
\(337\) −21.6519 7.88064i −1.17945 0.429286i −0.323444 0.946247i \(-0.604841\pi\)
−0.856009 + 0.516962i \(0.827063\pi\)
\(338\) 4.17557 + 11.4723i 0.227121 + 0.624010i
\(339\) −5.01211 + 5.56578i −0.272221 + 0.302292i
\(340\) 7.28058 0.377675i 0.394845 0.0204823i
\(341\) −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
\(345\) −21.2444 + 18.4452i −1.14376 + 0.993055i
\(346\) −5.84561 + 2.12763i −0.314262 + 0.114382i
\(347\) 11.2327 + 4.08837i 0.603004 + 0.219475i 0.625439 0.780273i \(-0.284920\pi\)
−0.0224354 + 0.999748i \(0.507142\pi\)
\(348\) −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 \(-0.0369016\pi\)
\(350\) 5.30822 + 18.5866i 0.283737 + 0.993495i
\(351\) −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 \(0.101134\pi\)
−0.204427 + 0.978882i \(0.565533\pi\)
\(354\) 0.0300296 0.0743119i 0.00159606 0.00394963i
\(355\) 20.8102 19.3851i 1.10449 1.02886i
\(356\) 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 \(0.599500\pi\)
\(360\) 6.62631 1.04500i 0.349237 0.0550764i
\(361\) 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
\(365\) −26.0545 + 6.00055i −1.36375 + 0.314083i
\(366\) 4.68816 + 0.996819i 0.245054 + 0.0521046i
\(367\) 0.560061 0.667455i 0.0292350 0.0348409i −0.751229 0.660042i \(-0.770539\pi\)
0.780464 + 0.625201i \(0.214983\pi\)
\(368\) 3.63214 6.29106i 0.189339 0.327944i
\(369\) 12.5056 + 12.0797i 0.651016 + 0.628844i
\(370\) −1.86701 + 6.09513i −0.0970614 + 0.316871i
\(371\) −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 \(-0.707029\pi\)
0.991971 + 0.126463i \(0.0403624\pi\)
\(374\) −10.0338 8.41939i −0.518837 0.435356i
\(375\) 16.2232 + 10.5739i 0.837764 + 0.546032i
\(376\) 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 \(-0.133951\pi\)
\(380\) 6.92346 6.86044i 0.355166 0.351933i
\(381\) 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 \(0.0714456\pi\)
0.0498995 + 0.998754i \(0.484110\pi\)
\(384\) −1.52936 + 0.813048i −0.0780450 + 0.0414907i
\(385\) 15.7830 30.9352i 0.804376 1.57660i
\(386\) −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 \(0.515705\pi\)
\(390\) 3.40282 + 0.541038i 0.172308 + 0.0273965i
\(391\) −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
\(395\) −26.4263 + 6.08619i −1.32965 + 0.306229i
\(396\) −9.99092 6.74087i −0.502063 0.338741i
\(397\) −30.3973 + 5.35986i −1.52560 + 0.269004i −0.872629 0.488383i \(-0.837587\pi\)
−0.652966 + 0.757387i \(0.726476\pi\)
\(398\) 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
\(405\) 5.22406 19.4347i 0.259586 0.965720i
\(406\) 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 \(0.362025\pi\)
\(410\) −5.05735 11.9320i −0.249765 0.589280i
\(411\) 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
\(415\) 3.66643 + 5.65238i 0.179978 + 0.277465i
\(416\) −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 \(-0.159347\pi\)
\(420\) −14.6994 + 2.84815i −0.717256 + 0.138976i
\(421\) −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
\(425\) −11.3366 + 11.7144i −0.549907 + 0.568234i
\(426\) 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
\(430\) 4.27926 + 3.22823i 0.206364 + 0.155679i
\(431\) 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 −0.462556 0.886590i \(-0.653068\pi\)
0.215550 + 0.976493i \(0.430845\pi\)
\(434\) −4.31773 5.14567i −0.207258 0.247000i
\(435\) −4.61411 23.8135i −0.221229 1.14177i
\(436\) 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 \(0.668191\pi\)
\(440\) 4.88862 + 7.53659i 0.233056 + 0.359293i
\(441\) −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 \(-0.903603\pi\)
−0.459448 0.888205i \(-0.651953\pi\)
\(444\) −4.57812 1.85003i −0.217268 0.0877985i
\(445\) −17.4835 + 7.41034i −0.828798 + 0.351284i
\(446\) 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 \(0.0364145\pi\)
\(450\) −9.24904 + 11.8091i −0.436004 + 0.556687i
\(451\) −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
\(460\) 3.64556 + 15.8291i 0.169975 + 0.738034i
\(461\) 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 −0.420467 0.907308i \(-0.638134\pi\)
−0.995985 + 0.0895191i \(0.971467\pi\)
\(464\) 3.13148 + 5.42389i 0.145375 + 0.251798i
\(465\) −6.64595 1.05669i −0.308198 0.0490026i
\(466\) −1.60148 0.282385i −0.0741872 0.0130812i
\(467\) 3.50646 + 6.07337i 0.162260 + 0.281042i 0.935679 0.352853i \(-0.114788\pi\)
−0.773419 + 0.633895i \(0.781455\pi\)
\(468\) −0.646009 + 2.58956i −0.0298618 + 0.119702i
\(469\) −9.25026 + 11.0240i −0.427137 + 0.509042i
\(470\) −17.2170 8.78403i −0.794160 0.405177i
\(471\) 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
\(475\) −0.871771 + 21.7771i −0.0399996 + 0.999200i
\(476\) 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 \(0.583958\pi\)
\(480\) 1.26311 3.66122i 0.0576527 0.167111i
\(481\) −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
\(485\) 29.4403 + 9.01794i 1.33682 + 0.409483i
\(486\) 14.6466 + 5.33636i 0.664384 + 0.242062i
\(487\) 2.83150 4.90431i 0.128308 0.222235i −0.794713 0.606985i \(-0.792379\pi\)
0.923021 + 0.384749i \(0.125712\pi\)
\(488\) 1.77873 2.11981i 0.0805194 0.0959593i
\(489\) 4.39880 + 0.935294i 0.198920 + 0.0422955i
\(490\) 17.3136 3.98745i 0.782147 0.180135i
\(491\) −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
\(495\) 26.6207 4.19822i 1.19651 0.188696i
\(496\) 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 \(0.905965\pi\)
\(500\) 9.78718 5.40472i 0.437696 0.241707i
\(501\) 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 \(-0.911116\pi\)
0.997563 + 0.0697704i \(0.0222267\pi\)
\(504\) −1.21079 11.5345i −0.0539331 0.513786i
\(505\) 14.4755 + 34.1525i 0.644149 + 1.51977i
\(506\) 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 \(0.476817\pi\)
\(510\) −8.27855 9.53488i −0.366580 0.422212i
\(511\) 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
\(515\) −15.9795 + 0.828928i −0.704143 + 0.0365269i
\(516\) −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
\(520\) 1.19803 1.58808i 0.0525372 0.0696421i
\(521\) 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 \(0.341276\pi\)
−0.749769 + 0.661700i \(0.769835\pi\)
\(524\) 6.78232 3.91578i 0.296287 0.171061i
\(525\) 19.7097 27.0637i 0.860201 1.18116i
\(526\) −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
\(530\) 25.3515 1.31509i 1.10120 0.0571238i
\(531\) −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
\(535\) −8.75907 + 5.68159i −0.378688 + 0.245636i
\(536\) −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
\(540\) −8.49179 7.93029i −0.365428 0.341265i
\(541\) 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
\(545\) 11.0133 + 11.8229i 0.471756 + 0.506436i
\(546\) 1.23892 5.82679i 0.0530209 0.249363i
\(547\) 2.66159 0.968739i 0.113801 0.0414203i −0.284492 0.958678i \(-0.591825\pi\)
0.398293 + 0.917258i \(0.369603\pi\)
\(548\) 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
\(555\) 10.3102 3.95067i 0.437646 0.167696i
\(556\) 20.5143 + 7.46660i 0.870001 + 0.316654i
\(557\) 5.13324 + 4.30730i 0.217502 + 0.182506i 0.745028 0.667033i \(-0.232436\pi\)
−0.527526 + 0.849539i \(0.676880\pi\)
\(558\) 1.26170 5.05759i 0.0534121 0.214105i
\(559\) −1.84695 + 1.06634i −0.0781176 + 0.0451012i
\(560\) −2.53181 + 8.26545i −0.106989 + 0.349279i
\(561\) −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 \(-0.0952308\pi\)
0.222543 + 0.974923i \(0.428564\pi\)
\(564\) 7.93459 12.6962i 0.334107 0.534604i
\(565\) −8.61323 4.39443i −0.362361 0.184875i
\(566\) −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 \(0.191022\pi\)
\(570\) −16.7464 2.13507i −0.701429 0.0894282i
\(571\) 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
\(575\) −30.0902 20.3427i −1.25485 0.848350i
\(576\) 2.74048 + 1.22057i 0.114187 + 0.0508570i
\(577\) 36.8254 + 21.2611i 1.53306 + 0.885113i 0.999218 + 0.0395281i \(0.0125855\pi\)
0.533842 + 0.845585i \(0.320748\pi\)
\(578\) −5.51668 + 3.18505i −0.229463 + 0.132481i
\(579\) 37.9315 + 1.32708i 1.57638 + 0.0551518i
\(580\) −13.3903 4.10162i −0.556002 0.170311i
\(581\) 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
\(585\) −2.88983 5.22155i −0.119480 0.215884i
\(586\) −15.0697 + 12.6450i −0.622524 + 0.522360i
\(587\) 4.88741 + 27.7179i 0.201725 + 1.14404i 0.902510 + 0.430668i \(0.141722\pi\)
−0.700785 + 0.713372i \(0.747167\pi\)
\(588\) 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 \(-0.768178\pi\)
−0.143874 + 0.989596i \(0.545956\pi\)
\(594\) 1.45209 + 20.8246i 0.0595800 + 0.854445i
\(595\) 19.2106 + 20.6228i 0.787558 + 0.845453i
\(596\) −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 \(0.877005\pi\)
\(600\) 3.51350 + 7.91551i 0.143438 + 0.323149i
\(601\) 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
\(605\) 6.25432 + 9.64204i 0.254274 + 0.392005i
\(606\) −27.3269 + 8.87706i −1.11008 + 0.360606i
\(607\) 13.9107 0.564620 0.282310 0.959323i \(-0.408899\pi\)
0.282310 + 0.959323i \(0.408899\pi\)
\(608\) 4.26727 0.889035i 0.173061 0.0360551i
\(609\) −41.5292 + 5.83378i −1.68285 + 0.236396i
\(610\) 0.320551 + 6.17938i 0.0129787 + 0.250196i
\(611\) 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 \(-0.925145\pi\)
0.894731 + 0.446605i \(0.147367\pi\)
\(614\) 17.6462 21.0299i 0.712142 0.848697i
\(615\) −10.8940 + 19.6257i −0.439290 + 0.791385i
\(616\) 13.4504 7.76559i 0.541932 0.312885i
\(617\) 4.30340 24.4058i 0.173248 0.982540i −0.766898 0.641769i \(-0.778201\pi\)
0.940146 0.340771i \(-0.110688\pi\)
\(618\) 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 \(0.971205\pi\)
\(620\) −2.33984 + 3.10164i −0.0939704 + 0.124565i
\(621\) −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
\(625\) −7.77601 + 23.7599i −0.311040 + 0.950397i
\(626\) 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
\(630\) 19.5610 + 17.0269i 0.779330 + 0.678369i
\(631\) −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
\(635\) −6.66066 + 2.82310i −0.264320 + 0.112031i
\(636\) −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
\(640\) −1.52412 1.63617i −0.0602463 0.0646752i
\(641\) −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 0.929414 0.369039i \(-0.120313\pi\)
−0.524824 + 0.851211i \(0.675869\pi\)
\(644\) 27.6567 4.87662i 1.08983 0.192166i
\(645\) −0.156489 9.28311i −0.00616176 0.365522i
\(646\) 4.44617 13.4981i 0.174932 0.531077i
\(647\) −12.4171 −0.488168 −0.244084 0.969754i \(-0.578487\pi\)
−0.244084 + 0.969754i \(0.578487\pi\)
\(648\) 6.68988 6.02042i 0.262803 0.236505i
\(649\) −0.119498 0.142412i −0.00469069 0.00559015i
\(650\) 0.460256 + 4.42432i 0.0180527 + 0.173536i
\(651\) −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 \(-0.846581\pi\)
0.844473 + 0.535598i \(0.179914\pi\)
\(654\) −9.86302 + 7.70480i −0.385675 + 0.301281i
\(655\) −5.12889 + 16.7440i −0.200402 + 0.654241i
\(656\) 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 \(0.773204\pi\)
\(660\) 5.07445 14.7087i 0.197523 0.572536i
\(661\) −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
\(665\) 37.5218 + 3.45565i 1.45503 + 0.134004i
\(666\) 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
\(670\) 7.41444 + 3.78282i 0.286445 + 0.146143i
\(671\) 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 \(-0.964109\pi\)
0.399382 0.916785i \(-0.369225\pi\)
\(674\) 22.6914 + 4.00110i 0.874040 + 0.154117i
\(675\) 25.9807 + 0.0327469i 0.999999 + 0.00126043i
\(676\) −6.10427 10.5729i −0.234780 0.406650i
\(677\) −8.64881 4.99339i −0.332401 0.191912i 0.324506 0.945884i \(-0.394802\pi\)
−0.656906 + 0.753972i \(0.728135\pi\)
\(678\) 3.96948 6.35157i 0.152447 0.243931i
\(679\) 18.2070 50.0234i 0.698722 1.91972i
\(680\) −7.10439 + 1.63620i −0.272441 + 0.0627453i
\(681\) −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
\(690\) 17.7187 21.8540i 0.674538 0.831968i
\(691\) 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
\(695\) −44.9449 + 19.0498i −1.70486 + 0.722598i
\(696\) 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
\(700\) −8.45511 17.3825i −0.319573 0.656995i
\(701\) −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
\(705\) 6.36819 + 32.8663i 0.239840 + 1.23782i
\(706\) −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 \(0.992062\pi\)
\(710\) −17.1278 + 22.7043i −0.642796 + 0.852076i
\(711\) −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
\(715\) 4.81301 6.38002i 0.179997 0.238599i
\(716\) 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 \(-0.447300\pi\)
\(720\) −6.34418 + 2.17977i −0.236434 + 0.0812353i
\(721\) 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
\(725\) 28.1602 13.6976i 1.04584 0.508715i
\(726\) −7.86056 + 4.17887i −0.291733 + 0.155092i
\(727\) 17.1263 47.0541i 0.635179 1.74514i −0.0311866 0.999514i \(-0.509929\pi\)
0.666365 0.745625i \(-0.267849\pi\)
\(728\) −2.63466 2.21074i −0.0976469 0.0819355i
\(729\) −8.33337 25.6818i −0.308643 0.951178i
\(730\) 24.6167 10.4337i 0.911103 0.386169i
\(731\) 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 \(-0.482197\pi\)
0.892621 + 0.450808i \(0.148864\pi\)
\(734\) −0.435650 + 0.754569i −0.0160801 + 0.0278516i
\(735\) −23.9035 19.3804i −0.881695 0.714855i
\(736\) −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 −0.0306050 0.999532i \(-0.509743\pi\)
0.313101 + 0.949720i \(0.398632\pi\)
\(744\) −2.23636 2.01389i −0.0819888 0.0738327i
\(745\) 43.2252 9.95510i 1.58365 0.364727i
\(746\) −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
\(750\) −17.8129 7.59608i −0.650435 0.277370i
\(751\) 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
\(755\) 13.0991 + 6.68308i 0.476723 + 0.243222i
\(756\) −14.4529 + 13.9515i −0.525646 + 0.507411i
\(757\) 0.216899 + 0.258490i 0.00788332 + 0.00939498i 0.769972 0.638078i \(-0.220270\pi\)
−0.762088 + 0.647473i \(0.775826\pi\)
\(758\) 2.76198 + 15.6639i 0.100319 + 0.568940i
\(759\) −50.0563 + 7.03162i −1.81693 + 0.255232i
\(760\) −5.62697 + 7.95847i −0.204112 + 0.288684i
\(761\) 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
\(765\) −4.18744 + 21.4665i −0.151397 + 0.776123i
\(766\) −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 \(0.997446\pi\)
\(770\) −10.1714 + 33.2059i −0.366551 + 1.19666i
\(771\) −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 \(-0.892593\pi\)
0.489888 + 0.871785i \(0.337038\pi\)
\