Properties

Label 570.2.bf.a.59.16
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 59.16
Character \(\chi\) \(=\) 570.59
Dual form 570.2.bf.a.29.16

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

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

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
\(5\) −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 0.291309 0.956629i \(-0.405909\pi\)
0.974120 + 0.226034i \(0.0725759\pi\)
\(8\) −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 −0.126643 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 −0.543370 0.839494i \(-0.682852\pi\)
0.732385 + 0.680891i \(0.238407\pi\)
\(14\) −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 0.835909 + 0.548868i \(0.184941\pi\)
−0.973221 + 0.229870i \(0.926170\pi\)
\(18\) −0.826534 + 2.88389i −0.194816 + 0.679740i
\(19\) −3.42399 + 2.69746i −0.785517 + 0.618840i
\(20\) −0.273689 2.21926i −0.0611987 0.496241i
\(21\) 2.06877 6.36843i 0.451442 1.38970i
\(22\) 3.07753 + 2.58236i 0.656132 + 0.550560i
\(23\) 6.82620 + 2.48453i 1.42336 + 0.518061i 0.935021 0.354592i \(-0.115380\pi\)
0.488340 + 0.872653i \(0.337603\pi\)
\(24\) −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 −0.902162 0.431397i \(-0.858021\pi\)
0.700209 0.713938i \(-0.253090\pi\)
\(30\) 3.32099 + 1.99275i 0.606326 + 0.363825i
\(31\) 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
\(35\) −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 0.919880 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 0.861344 0.508022i \(-0.169623\pi\)
−0.986378 + 0.164494i \(0.947401\pi\)
\(44\) −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 0.873933 + 0.486047i \(0.161562\pi\)
−0.654990 + 0.755637i \(0.727327\pi\)
\(48\) 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 −0.321702 0.946841i \(-0.604255\pi\)
0.855056 0.518536i \(-0.173523\pi\)
\(54\) 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 −0.984280 0.176614i \(-0.943486\pi\)
0.985326 + 0.170681i \(0.0545967\pi\)
\(60\) −2.92450 2.53916i −0.377551 0.327804i
\(61\) −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
\(65\) −1.83157 0.776305i −0.227178 0.0962888i
\(66\) 6.95414 0.243300i 0.855996 0.0299481i
\(67\) −0.646399 3.66591i −0.0789702 0.447862i −0.998496 0.0548318i \(-0.982538\pi\)
0.919525 0.393031i \(-0.128573\pi\)
\(68\) −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 −0.933589 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 \(-0.531083\pi\)
0.997046 0.0768078i \(-0.0244728\pi\)
\(74\) 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 −0.121555 0.992585i \(-0.538788\pi\)
0.998613 0.0526520i \(-0.0167674\pi\)
\(80\) 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 0.936784 0.349909i \(-0.113787\pi\)
−0.771422 + 0.636324i \(0.780454\pi\)
\(84\) 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 −0.229215 0.973376i \(-0.573616\pi\)
0.918785 + 0.394757i \(0.129171\pi\)
\(90\) 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 0.582806 + 0.812611i \(0.301955\pi\)
−0.825588 + 0.564273i \(0.809157\pi\)
\(98\) −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 0.963063 + 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 −0.634150 0.773210i \(-0.718650\pi\)
0.986695 + 0.162585i \(0.0519830\pi\)
\(104\) −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 −0.291648 0.956526i \(-0.594203\pi\)
0.682552 + 0.730837i \(0.260870\pi\)
\(108\) −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 \(0.776408\pi\)
\(110\) 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 \(-0.934801\pi\)
0.979096 0.203399i \(-0.0651988\pi\)
\(114\) 2.55305 7.10506i 0.239115 0.665450i
\(115\) −1.98816 16.1213i −0.185396 1.50332i
\(116\) 1.08755 6.16782i 0.100977 0.572668i
\(117\) −1.49273 2.21244i −0.138003 0.204540i
\(118\) −0.0158269 + 0.0434840i −0.00145698 + 0.00400302i
\(119\) 4.31094 + 11.8442i 0.395183 + 1.08576i
\(120\) 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 −0.526172 0.850378i \(-0.676373\pi\)
0.746090 + 0.665845i \(0.231929\pi\)
\(128\) −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 0.500095 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
\(135\) −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 0.696292 0.717758i \(-0.254832\pi\)
0.0720248 + 0.997403i \(0.477054\pi\)
\(138\) −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 \(-0.0988591\pi\)
\(140\) −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 −0.0757813 + 0.997124i \(0.524145\pi\)
−0.968817 + 0.247779i \(0.920299\pi\)
\(150\) 0.594350 8.63983i 0.0485285 0.705440i
\(151\) 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
\(155\) −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 0.760649 + 0.649163i \(0.224881\pi\)
−0.165417 + 0.986224i \(0.552897\pi\)
\(158\) −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 0.585469 0.810695i \(-0.300910\pi\)
−0.409348 + 0.912378i \(0.634244\pi\)
\(164\) 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 0.226363 + 0.974043i \(0.427317\pi\)
−0.799507 + 0.600657i \(0.794906\pi\)
\(168\) −4.97582 + 4.48084i −0.383893 + 0.345704i
\(169\) −2.11999 + 12.0231i −0.163076 + 0.924851i
\(170\) −7.23555 + 0.892322i −0.554942 + 0.0684380i
\(171\) 6.97578 + 11.0607i 0.533452 + 0.845831i
\(172\) 2.39723i 0.182787i
\(173\) 6.12627 + 1.08023i 0.465771 + 0.0821281i 0.401609 0.915811i \(-0.368451\pi\)
0.0641627 + 0.997939i \(0.479562\pi\)
\(174\) 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 −0.696305 0.717746i \(-0.745174\pi\)
0.969739 + 0.244145i \(0.0785071\pi\)
\(180\) −6.70710 + 0.121521i −0.499918 + 0.00905762i
\(181\) −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
\(185\) 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 \(-0.677103\pi\)
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 \(0.0114536\pi\)
0.208964 + 0.977923i \(0.432991\pi\)
\(194\) 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 0.997065 0.0765605i \(-0.0243938\pi\)
−0.564836 + 0.825203i \(0.691060\pi\)
\(198\) 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 \(-0.162770\pi\)
\(200\) 4.56556 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 −0.253300 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
\(215\) −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 −0.833339 0.552762i \(-0.813574\pi\)
−0.283067 + 0.959100i \(0.591352\pi\)
\(224\) −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 \(-0.907795\pi\)
0.958338 0.285638i \(-0.0922054\pi\)
\(228\) −3.74804 + 6.55379i −0.248220 + 0.434035i
\(229\) −0.547836 −0.0362020 −0.0181010 0.999836i \(-0.505762\pi\)
−0.0181010 + 0.999836i \(0.505762\pi\)
\(230\) −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 −0.291479 0.956577i \(-0.594147\pi\)
0.391590 + 0.920140i \(0.371925\pi\)
\(234\) 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 0.254005 0.967203i \(-0.418252\pi\)
−0.710620 + 0.703576i \(0.751585\pi\)
\(240\) −1.87968 3.38627i −0.121333 0.218582i
\(241\) −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
\(245\) −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 −0.910094 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
\(255\) 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 −0.424043 0.905642i \(-0.639389\pi\)
−0.0887217 + 0.996056i \(0.528278\pi\)
\(258\) 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 0.665779 0.746149i \(-0.268099\pi\)
−0.619202 + 0.785232i \(0.712544\pi\)
\(264\) 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 \(0.978097\pi\)
\(270\) 6.98570 9.28440i 0.425136 0.565030i
\(271\) 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
\(275\) 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 0.761460 0.648212i \(-0.224483\pi\)
−0.180638 + 0.983550i \(0.557816\pi\)
\(278\) −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 −0.277336 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 0.271139 0.962540i \(-0.412600\pi\)
−0.0744206 + 0.997227i \(0.523711\pi\)
\(284\) −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 0.906850 0.421453i \(-0.138480\pi\)
0.0884356 + 0.996082i \(0.471813\pi\)
\(294\) 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 −0.999623 0.0274503i \(-0.991261\pi\)
−0.200616 0.979670i \(-0.564294\pi\)
\(308\) −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 −0.800704 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 −0.245589 0.969374i \(-0.578981\pi\)
0.100767 + 0.994910i \(0.467870\pi\)
\(314\) −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 0.980188 0.198072i \(-0.0634679\pi\)
−0.365270 + 0.930901i \(0.619023\pi\)
\(318\) 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 0.350450 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
\(335\) −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 −0.856009 0.516962i \(-0.827063\pi\)
−0.323444 + 0.946247i \(0.604841\pi\)
\(338\) 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 −0.0224354 0.999748i \(-0.507142\pi\)
0.625439 + 0.780273i \(0.284920\pi\)
\(348\) −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 \(0.629765\pi\)
\(350\) 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 −0.204427 0.978882i \(-0.565533\pi\)
0.949950 0.312402i \(-0.101134\pi\)
\(354\) 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 −0.307521 0.951541i \(-0.599500\pi\)
−0.614422 + 0.788978i \(0.710611\pi\)
\(360\) 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 0.780464 0.625201i \(-0.214983\pi\)
−0.751229 + 0.660042i \(0.770539\pi\)
\(368\) 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 0.991971 0.126463i \(-0.0403624\pi\)
−0.605506 + 0.795841i \(0.707029\pi\)
\(374\) −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 \(0.133951\pi\)
−0.912755 + 0.408507i \(0.866049\pi\)
\(380\) 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 0.0498995 0.998754i \(-0.484110\pi\)
0.974916 0.222573i \(-0.0714456\pi\)
\(384\) −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 −0.0493178 0.998783i \(-0.515705\pi\)
0.295260 + 0.955417i \(0.404594\pi\)
\(390\) 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 −0.652966 0.757387i \(-0.726476\pi\)
−0.872629 + 0.488383i \(0.837587\pi\)
\(398\) 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
\(405\) 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 0.420014 0.907518i \(-0.362025\pi\)
0.705073 + 0.709135i \(0.250914\pi\)
\(410\) −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 \(0.159347\pi\)
−0.877293 + 0.479954i \(0.840653\pi\)
\(420\) −14.6994 2.84815i −0.717256 0.138976i
\(421\) −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
\(425\) −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 −0.346030 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 0.215550 0.976493i \(-0.430845\pi\)
−0.462556 + 0.886590i \(0.653068\pi\)
\(434\) −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 −0.504143 0.863620i \(-0.668191\pi\)
−0.769115 + 0.639111i \(0.779303\pi\)
\(440\) 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 −0.459448 + 0.888205i \(0.651953\pi\)
−0.954493 + 0.298232i \(0.903603\pi\)
\(444\) −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 0.993464 0.114150i \(-0.0364145\pi\)
−0.595589 + 0.803290i \(0.703081\pi\)
\(450\) −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 \(0.00641949\pi\)
−0.999797 + 0.0201661i \(0.993581\pi\)
\(458\) 0.539513 + 0.0951308i 0.0252098 + 0.00444517i
\(459\) 15.2253 7.42956i 0.710655 0.346782i
\(460\) 3.64556 15.8291i 0.169975 0.738034i
\(461\) 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 −0.995985 0.0895191i \(-0.971467\pi\)
−0.420467 + 0.907308i \(0.638134\pi\)
\(464\) 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 −0.773419 0.633895i \(-0.781455\pi\)
0.935679 + 0.352853i \(0.114788\pi\)
\(468\) −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 −0.260715 0.965416i \(-0.583958\pi\)
0.820277 0.571967i \(-0.193819\pi\)
\(480\) 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 0.923021 0.384749i \(-0.125712\pi\)
−0.794713 + 0.606985i \(0.792379\pi\)
\(488\) 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 0.0144039 + 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
\(495\) 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 −0.956680 0.291140i \(-0.905965\pi\)
−0.545719 + 0.837969i \(0.683743\pi\)
\(500\) 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 0.997563 0.0697704i \(-0.0222267\pi\)
−0.961266 + 0.275624i \(0.911116\pi\)
\(504\) −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 0.0727656 0.997349i \(-0.476817\pi\)
−0.585342 + 0.810787i \(0.699040\pi\)
\(510\) −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 −0.803009 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 \(-0.769835\pi\)
0.478237 0.878231i \(-0.341276\pi\)
\(524\) 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 0.724296 + 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
\(545\) 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 0.398293 0.917258i \(-0.369603\pi\)
−0.284492 + 0.958678i \(0.591825\pi\)
\(548\) 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 −0.527526 0.849539i \(-0.676880\pi\)
0.745028 + 0.667033i \(0.232436\pi\)
\(558\) 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 0.222543 0.974923i \(-0.428564\pi\)
0.955580 + 0.294733i \(0.0952308\pi\)
\(564\) 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 0.533842 0.845585i \(-0.320748\pi\)
0.999218 0.0395281i \(-0.0125855\pi\)
\(578\) −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 −0.700785 0.713372i \(-0.747167\pi\)
0.902510 0.430668i \(-0.141722\pi\)
\(588\) 1.91442 13.6283i 0.0789494 0.562021i
\(589\) −2.80877 + 7.03363i −0.115734 + 0.289816i
\(590\) 0.102695 0.0126649i 0.00422790 0.000521404i
\(591\) 19.9873 + 6.49281i 0.822166 + 0.267078i
\(592\) −2.18387 1.83248i −0.0897564 0.0753145i
\(593\) −21.6775 7.88996i −0.890188 0.324002i −0.143874 0.989596i \(-0.545956\pi\)
−0.746314 + 0.665594i \(0.768178\pi\)
\(594\) 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 −0.926272 0.376855i \(-0.877005\pi\)
0.741519 0.670932i \(-0.234106\pi\)
\(600\) 3.51350 7.91551i 0.143438 0.323149i
\(601\) 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
\(605\) 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 0.894731 0.446605i \(-0.147367\pi\)
−0.972476 + 0.233002i \(0.925145\pi\)
\(614\) 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 0.940146 + 0.340771i \(0.110688\pi\)
−0.766898 + 0.641769i \(0.778201\pi\)
\(618\) 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 \(0.304539\pi\)
\(620\) −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 0.0108141 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
\(635\) −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 −0.995866 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 −0.524824 0.851211i \(-0.675869\pi\)
0.929414 + 0.369039i \(0.120313\pi\)
\(644\) 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 0.844473 0.535598i \(-0.179914\pi\)
−0.886078 + 0.463536i \(0.846581\pi\)
\(654\) −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 −0.756730 0.653727i \(-0.773204\pi\)
0.512391 + 0.858753i \(0.328760\pi\)
\(660\) 5.07445 + 14.7087i 0.197523 + 0.572536i
\(661\) −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
\(665\) 37.5218 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 0.399382 + 0.916785i \(0.369225\pi\)
−0.993650 + 0.112517i \(0.964109\pi\)
\(674\) 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 −0.656906 0.753972i \(-0.728135\pi\)
0.324506 + 0.945884i \(0.394802\pi\)
\(678\) 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 \(0.0564630\pi\)
−0.984309 + 0.176455i \(0.943537\pi\)
\(684\) 2.77212 + 12.7795i 0.105995 + 0.488636i
\(685\) −2.61922 21.2384i −0.100075 0.811478i
\(686\) −0.634763 + 3.59992i −0.0242353 + 0.137445i
\(687\) −0.705114 + 0.634971i −0.0269018 + 0.0242256i
\(688\) 0.819901 2.25266i 0.0312584 0.0858818i
\(689\) −3.45436 9.49077i −0.131601 0.361570i
\(690\) 17.7187 + 21.8540i 0.674538 + 0.831968i
\(691\) 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
\(695\) −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 0.0518263 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
\(705\) 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 −0.999689 0.0249357i \(-0.992062\pi\)
−0.149037 + 0.988832i \(0.547617\pi\)
\(710\) −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 0.164807 + 0.986326i \(0.447300\pi\)
−0.999960 + 0.00897016i \(0.997145\pi\)
\(720\) −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 0.666365 + 0.745625i \(0.267849\pi\)
−0.0311866 + 0.999514i \(0.509929\pi\)
\(728\) −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 0.892621 0.450808i \(-0.148864\pi\)
0.0558997 + 0.998436i \(0.482197\pi\)
\(734\) −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 −0.957030 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 0.313101 0.949720i \(-0.398632\pi\)
−0.0306050 + 0.999532i \(0.509743\pi\)
\(744\) −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 0.185516 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
\(755\) 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 −0.762088 0.647473i \(-0.775826\pi\)
0.769972 + 0.638078i \(0.220270\pi\)
\(758\) 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 \(-0.980086\pi\)
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
\(765\) −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 −0.999968 0.00802243i \(-0.997446\pi\)
0.936919 0.349548i \(-0.113665\pi\)
\(770\) −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 0.489888 0.871785i \(-0.337038\pi\)
−0.943609 + 0.331061i \(0.892593\pi\)
\(774\)