Properties

Label 570.2.bf.a.29.14
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 29.14
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(0.917943 + 1.46880i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.501847 - 2.17902i) q^{5} +(-1.15905 - 1.28709i) q^{6} +(-3.34801 - 1.93297i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.31476 + 2.69655i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(0.917943 + 1.46880i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.501847 - 2.17902i) q^{5} +(-1.15905 - 1.28709i) q^{6} +(-3.34801 - 1.93297i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-1.31476 + 2.69655i) q^{9} +(-0.115839 + 2.23307i) q^{10} +(3.47920 - 2.00872i) q^{11} +(1.36494 + 1.06627i) q^{12} +(-0.681504 - 0.571849i) q^{13} +(3.63280 + 1.32223i) q^{14} +(3.66122 - 1.26311i) 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} +(-0.234126 - 6.69192i) q^{21} +(-3.07753 + 2.58236i) q^{22} +(6.82620 - 2.48453i) q^{23} +(-1.52936 - 0.813048i) q^{24} +(-4.49630 - 2.18707i) q^{25} +(0.770451 + 0.444820i) q^{26} +(-5.16758 + 0.544161i) q^{27} +(-3.80722 - 0.671315i) q^{28} +(1.08755 - 6.16782i) q^{29} +(-3.38627 + 1.87968i) q^{30} +(1.50475 + 0.868765i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(6.14411 + 3.26637i) q^{33} +(1.11511 + 3.06373i) q^{34} +(-5.89219 + 6.32534i) q^{35} +(-0.313195 + 2.98361i) q^{36} +2.85084 q^{37} +(3.84038 + 2.06191i) q^{38} +(0.214352 - 1.52592i) q^{39} +(0.654901 + 2.13801i) q^{40} +(-4.43975 + 3.72539i) q^{41} +(1.39261 + 6.54960i) q^{42} +(0.819901 - 2.25266i) q^{43} +(2.58236 - 3.07753i) q^{44} +(5.21605 + 4.21815i) q^{45} +(-6.29106 + 3.63214i) q^{46} +(1.50099 - 8.51256i) q^{47} +(1.64731 + 0.535125i) q^{48} +(3.97278 + 6.88105i) q^{49} +(4.80777 + 1.37307i) q^{50} +(4.19636 - 3.77892i) q^{51} +(-0.835988 - 0.304275i) q^{52} +(3.88287 + 10.6681i) q^{53} +(4.99458 - 1.43323i) q^{54} +(-2.63102 - 8.58933i) q^{55} +3.86595 q^{56} +(0.819006 - 7.50528i) q^{57} +6.26297i q^{58} +(-0.00803551 - 0.0455717i) q^{59} +(3.00842 - 2.43915i) q^{60} +(-2.60033 + 0.946444i) q^{61} +(-1.63274 - 0.594270i) q^{62} +(9.61420 - 6.48669i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-1.58808 + 1.19803i) q^{65} +(-6.61797 - 2.14983i) q^{66} +(0.646399 - 3.66591i) q^{67} +(-1.63018 - 2.82355i) q^{68} +(9.91535 + 7.74568i) q^{69} +(4.70429 - 7.25241i) q^{70} +(11.9518 + 4.35011i) q^{71} +(-0.209661 - 2.99266i) 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} +(0.0538775 + 1.53996i) q^{78} +(7.79546 + 9.29027i) q^{79} +(-1.01621 - 1.99181i) q^{80} +(-5.54281 - 7.09065i) q^{81} +(3.72539 - 4.43975i) q^{82} +(1.50652 - 2.60937i) q^{83} +(-2.50878 - 6.20828i) q^{84} +(-7.28058 - 0.377675i) q^{85} +(-0.416275 + 2.36081i) q^{86} +(10.0576 - 4.06431i) q^{87} +(-2.00872 + 3.47920i) q^{88} +(-6.50540 - 5.45868i) q^{89} +(-5.86928 - 3.24831i) q^{90} +(1.17631 + 3.23189i) q^{91} +(5.56477 - 4.66940i) q^{92} +(0.105227 + 3.00765i) q^{93} +8.64388i q^{94} +(-7.59615 + 6.10725i) q^{95} +(-1.71521 - 0.240943i) q^{96} +(2.39112 + 13.5607i) q^{97} +(-5.10730 - 6.08665i) q^{98} +(0.842300 + 12.0228i) 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
\(3\) 0.917943 + 1.46880i 0.529975 + 0.848013i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 0.501847 2.17902i 0.224433 0.974490i
\(6\) −1.15905 1.28709i −0.473181 0.525452i
\(7\) −3.34801 1.93297i −1.26543 0.730595i −0.291309 0.956629i \(-0.594091\pi\)
−0.974120 + 0.226034i \(0.927424\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) −1.31476 + 2.69655i −0.438253 + 0.898851i
\(10\) −0.115839 + 2.23307i −0.0366314 + 0.706157i
\(11\) 3.47920 2.00872i 1.04902 0.605651i 0.126643 0.991948i \(-0.459580\pi\)
0.922374 + 0.386298i \(0.126246\pi\)
\(12\) 1.36494 + 1.06627i 0.394026 + 0.307805i
\(13\) −0.681504 0.571849i −0.189015 0.158602i 0.543370 0.839494i \(-0.317148\pi\)
−0.732385 + 0.680891i \(0.761593\pi\)
\(14\) 3.63280 + 1.32223i 0.970907 + 0.353381i
\(15\) 3.66122 1.26311i 0.945324 0.326133i
\(16\) 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
\(21\) −0.234126 6.69192i −0.0510904 1.46030i
\(22\) −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 \(0.115380\pi\)
\(24\) −1.52936 0.813048i −0.312180 0.165963i
\(25\) −4.49630 2.18707i −0.899260 0.437415i
\(26\) 0.770451 + 0.444820i 0.151098 + 0.0872364i
\(27\) −5.16758 + 0.544161i −0.994501 + 0.104724i
\(28\) −3.80722 0.671315i −0.719496 0.126867i
\(29\) 1.08755 6.16782i 0.201953 1.14534i −0.700209 0.713938i \(-0.746910\pi\)
0.902162 0.431397i \(-0.141979\pi\)
\(30\) −3.38627 + 1.87968i −0.618245 + 0.343182i
\(31\) 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
\(33\) 6.14411 + 3.26637i 1.06955 + 0.568601i
\(34\) 1.11511 + 3.06373i 0.191239 + 0.525425i
\(35\) −5.89219 + 6.32534i −0.995961 + 1.06918i
\(36\) −0.313195 + 2.98361i −0.0521991 + 0.497268i
\(37\) 2.85084 0.468674 0.234337 0.972155i \(-0.424708\pi\)
0.234337 + 0.972155i \(0.424708\pi\)
\(38\) 3.84038 + 2.06191i 0.622992 + 0.334486i
\(39\) 0.214352 1.52592i 0.0343238 0.244343i
\(40\) 0.654901 + 2.13801i 0.103549 + 0.338050i
\(41\) −4.43975 + 3.72539i −0.693373 + 0.581809i −0.919880 0.392201i \(-0.871714\pi\)
0.226507 + 0.974010i \(0.427269\pi\)
\(42\) 1.39261 + 6.54960i 0.214884 + 1.01063i
\(43\) 0.819901 2.25266i 0.125034 0.343527i −0.861344 0.508022i \(-0.830377\pi\)
0.986378 + 0.164494i \(0.0525992\pi\)
\(44\) 2.58236 3.07753i 0.389305 0.463955i
\(45\) 5.21605 + 4.21815i 0.777563 + 0.628805i
\(46\) −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 \(-0.161562\pi\)
\(48\) 1.64731 + 0.535125i 0.237769 + 0.0772387i
\(49\) 3.97278 + 6.88105i 0.567539 + 0.983007i
\(50\) 4.80777 + 1.37307i 0.679922 + 0.194182i
\(51\) 4.19636 3.77892i 0.587608 0.529154i
\(52\) −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 \(0.604255\pi\)
\(54\) 4.99458 1.43323i 0.679676 0.195039i
\(55\) −2.63102 8.58933i −0.354766 1.15818i
\(56\) 3.86595 0.516609
\(57\) 0.819006 7.50528i 0.108480 0.994099i
\(58\) 6.26297i 0.822368i
\(59\) −0.00803551 0.0455717i −0.00104613 0.00593293i 0.984280 0.176614i \(-0.0565144\pi\)
−0.985326 + 0.170681i \(0.945403\pi\)
\(60\) 3.00842 2.43915i 0.388385 0.314892i
\(61\) −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
\(63\) 9.61420 6.48669i 1.21128 0.817246i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −1.58808 + 1.19803i −0.196978 + 0.148598i
\(66\) −6.61797 2.14983i −0.814616 0.264626i
\(67\) 0.646399 3.66591i 0.0789702 0.447862i −0.919525 0.393031i \(-0.871427\pi\)
0.998496 0.0548318i \(-0.0174622\pi\)
\(68\) −1.63018 2.82355i −0.197688 0.342405i
\(69\) 9.91535 + 7.74568i 1.19367 + 0.932470i
\(70\) 4.70429 7.25241i 0.562270 0.866829i
\(71\) 11.9518 + 4.35011i 1.41842 + 0.516263i 0.933589 0.358345i \(-0.116659\pi\)
0.484831 + 0.874608i \(0.338881\pi\)
\(72\) −0.209661 2.99266i −0.0247088 0.352689i
\(73\) −7.68577 9.15955i −0.899552 1.07204i −0.997046 0.0768078i \(-0.975527\pi\)
0.0974943 0.995236i \(-0.468917\pi\)
\(74\) −2.80752 + 0.495042i −0.326368 + 0.0575475i
\(75\) −0.914971 8.61178i −0.105652 0.994403i
\(76\) −4.14008 1.36371i −0.474900 0.156428i
\(77\) −15.5312 −1.76994
\(78\) 0.0538775 + 1.53996i 0.00610042 + 0.174366i
\(79\) 7.79546 + 9.29027i 0.877058 + 1.04524i 0.998613 + 0.0526520i \(0.0167674\pi\)
−0.121555 + 0.992585i \(0.538788\pi\)
\(80\) −1.01621 1.99181i −0.113616 0.222691i
\(81\) −5.54281 7.09065i −0.615868 0.787850i
\(82\) 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 \(0.113787\pi\)
\(84\) −2.50878 6.20828i −0.273730 0.677378i
\(85\) −7.28058 0.377675i −0.789690 0.0409646i
\(86\) −0.416275 + 2.36081i −0.0448881 + 0.254573i
\(87\) 10.0576 4.06431i 1.07829 0.435739i
\(88\) −2.00872 + 3.47920i −0.214130 + 0.370884i
\(89\) −6.50540 5.45868i −0.689571 0.578618i 0.229215 0.973376i \(-0.426384\pi\)
−0.918785 + 0.394757i \(0.870829\pi\)
\(90\) −5.86928 3.24831i −0.618677 0.342402i
\(91\) 1.17631 + 3.23189i 0.123311 + 0.338794i
\(92\) 5.56477 4.66940i 0.580167 0.486818i
\(93\) 0.105227 + 3.00765i 0.0109115 + 0.311879i
\(94\) 8.64388i 0.891548i
\(95\) −7.59615 + 6.10725i −0.779349 + 0.626591i
\(96\) −1.71521 0.240943i −0.175058 0.0245911i
\(97\) 2.39112 + 13.5607i 0.242782 + 1.37688i 0.825588 + 0.564273i \(0.190843\pi\)
−0.582806 + 0.812611i \(0.698045\pi\)
\(98\) −5.10730 6.08665i −0.515915 0.614844i
\(99\) 0.842300 + 12.0228i 0.0846543 + 1.20834i
\(100\) −4.97316 0.517351i −0.497316 0.0517351i
\(101\) −10.6630 + 12.7077i −1.06101 + 1.26447i −0.0979496 + 0.995191i \(0.531228\pi\)
−0.963063 + 0.269275i \(0.913216\pi\)
\(102\) −3.47641 + 4.45020i −0.344216 + 0.440635i
\(103\) −3.57794 6.19717i −0.352545 0.610626i 0.634150 0.773210i \(-0.281350\pi\)
−0.986695 + 0.162585i \(0.948017\pi\)
\(104\) 0.876124 + 0.154484i 0.0859110 + 0.0151484i
\(105\) −14.6994 2.84815i −1.43451 0.277951i
\(106\) −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 \(0.594203\pi\)
\(108\) −4.66982 + 2.27876i −0.449354 + 0.219274i
\(109\) 2.47142 6.79017i 0.236719 0.650381i −0.763272 0.646078i \(-0.776408\pi\)
0.999991 0.00430289i \(-0.00136966\pi\)
\(110\) 4.08257 + 8.00196i 0.389258 + 0.762957i
\(111\) 2.61690 + 4.18731i 0.248386 + 0.397442i
\(112\) −3.80722 + 0.671315i −0.359748 + 0.0634333i
\(113\) 4.32432i 0.406798i 0.979096 + 0.203399i \(0.0651988\pi\)
−0.979096 + 0.203399i \(0.934801\pi\)
\(114\) 0.496714 + 7.53348i 0.0465216 + 0.705575i
\(115\) −1.98816 16.1213i −0.185396 1.50332i
\(116\) −1.08755 6.16782i −0.100977 0.572668i
\(117\) 2.43804 1.08587i 0.225397 0.100388i
\(118\) 0.0158269 + 0.0434840i 0.00145698 + 0.00400302i
\(119\) −4.31094 + 11.8442i −0.395183 + 1.08576i
\(120\) −2.53916 + 2.92450i −0.231792 + 0.266969i
\(121\) 2.56988 4.45116i 0.233625 0.404651i
\(122\) 2.39648 1.38361i 0.216967 0.125266i
\(123\) −9.54731 3.10142i −0.860852 0.279645i
\(124\) 1.71113 + 0.301719i 0.153664 + 0.0270952i
\(125\) −7.02214 + 8.69997i −0.628079 + 0.778149i
\(126\) −8.34174 + 8.05763i −0.743141 + 0.717831i
\(127\) −2.47835 2.07958i −0.219918 0.184533i 0.526172 0.850378i \(-0.323627\pi\)
−0.746090 + 0.665845i \(0.768071\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 4.06133 0.863541i 0.357581 0.0760306i
\(130\) 1.35592 1.45560i 0.118922 0.127665i
\(131\) −7.71257 + 1.35993i −0.673851 + 0.118818i −0.500095 0.865971i \(-0.666701\pi\)
−0.173756 + 0.984789i \(0.555590\pi\)
\(132\) 6.89074 + 0.967970i 0.599762 + 0.0842510i
\(133\) 6.24943 + 15.6496i 0.541894 + 1.35699i
\(134\) 3.72246i 0.321572i
\(135\) −1.40759 + 11.5334i −0.121146 + 0.992635i
\(136\) 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 \(0.254832\pi\)
\(138\) −11.1097 5.90622i −0.945724 0.502771i
\(139\) 16.7234 + 14.0326i 1.41846 + 1.19023i 0.952158 + 0.305606i \(0.0988591\pi\)
0.466304 + 0.884625i \(0.345585\pi\)
\(140\) −3.37345 + 7.95912i −0.285109 + 0.672668i
\(141\) 13.8811 5.60938i 1.16900 0.472395i
\(142\) −12.5256 2.20861i −1.05113 0.185342i
\(143\) −3.51977 0.620630i −0.294338 0.0518997i
\(144\) 0.726147 + 2.91079i 0.0605122 + 0.242566i
\(145\) −12.8940 5.46510i −1.07079 0.453852i
\(146\) 9.15955 + 7.68577i 0.758049 + 0.636079i
\(147\) −6.46012 + 12.1516i −0.532822 + 1.00225i
\(148\) 2.67891 0.975043i 0.220205 0.0801480i
\(149\) 12.7509 + 15.1960i 1.04460 + 1.24490i 0.968817 + 0.247779i \(0.0797006\pi\)
0.0757813 + 0.997124i \(0.475855\pi\)
\(150\) 2.39649 + 8.32207i 0.195673 + 0.679494i
\(151\) 6.57645i 0.535184i −0.963532 0.267592i \(-0.913772\pi\)
0.963532 0.267592i \(-0.0862280\pi\)
\(152\) 4.31399 + 0.624074i 0.349911 + 0.0506191i
\(153\) 9.40251 + 2.69479i 0.760148 + 0.217861i
\(154\) 15.2952 2.69696i 1.23252 0.217327i
\(155\) 2.64821 2.84289i 0.212710 0.228346i
\(156\) −0.320470 1.50721i −0.0256581 0.120673i
\(157\) −7.45824 + 20.4913i −0.595232 + 1.63539i 0.165417 + 0.986224i \(0.447103\pi\)
−0.760649 + 0.649163i \(0.775119\pi\)
\(158\) −9.29027 7.79546i −0.739094 0.620173i
\(159\) −12.1051 + 15.4959i −0.959996 + 1.22890i
\(160\) 1.34665 + 1.78509i 0.106462 + 0.141124i
\(161\) −27.6567 4.87662i −2.17965 0.384332i
\(162\) 6.68988 + 6.02042i 0.525607 + 0.473009i
\(163\) −2.24857 + 1.29821i −0.176121 + 0.101684i −0.585469 0.810695i \(-0.699090\pi\)
0.409348 + 0.912378i \(0.365756\pi\)
\(164\) −2.89784 + 5.01921i −0.226283 + 0.391934i
\(165\) 10.2009 11.7490i 0.794139 0.914655i
\(166\) −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 \(-0.427317\pi\)
\(168\) 3.54872 + 5.67831i 0.273790 + 0.438091i
\(169\) −2.11999 12.0231i −0.163076 0.924851i
\(170\) 7.23555 0.892322i 0.554942 0.0684380i
\(171\) 11.7756 5.68646i 0.900501 0.434855i
\(172\) 2.39723i 0.182787i
\(173\) 6.12627 1.08023i 0.465771 0.0821281i 0.0641627 0.997939i \(-0.479562\pi\)
0.401609 + 0.915811i \(0.368451\pi\)
\(174\) −9.19906 + 5.74905i −0.697379 + 0.435834i
\(175\) 10.8261 + 16.0136i 0.818376 + 1.21051i
\(176\) 1.37404 3.77515i 0.103572 0.284563i
\(177\) 0.0595596 0.0536348i 0.00447678 0.00403144i
\(178\) 7.35445 + 4.24610i 0.551240 + 0.318258i
\(179\) −3.65830 6.33636i −0.273434 0.473602i 0.696305 0.717746i \(-0.254826\pi\)
−0.969739 + 0.244145i \(0.921493\pi\)
\(180\) 6.34418 + 2.17977i 0.472867 + 0.162471i
\(181\) −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
\(183\) −3.77710 2.95059i −0.279211 0.218114i
\(184\) −4.66940 + 5.56477i −0.344232 + 0.410240i
\(185\) 1.43068 6.21204i 0.105186 0.456718i
\(186\) −0.625901 2.94369i −0.0458933 0.215841i
\(187\) −8.41939 10.0338i −0.615686 0.733747i
\(188\) −1.50099 8.51256i −0.109471 0.620842i
\(189\) 18.3530 + 8.16694i 1.33498 + 0.594058i
\(190\) 6.42024 7.33352i 0.465773 0.532030i
\(191\) 23.4715i 1.69834i −0.528121 0.849169i \(-0.677103\pi\)
0.528121 0.849169i \(-0.322897\pi\)
\(192\) 1.73099 0.0605610i 0.124924 0.00437062i
\(193\) −16.7865 + 14.0855i −1.20832 + 1.01390i −0.208964 + 0.977923i \(0.567009\pi\)
−0.999353 + 0.0359748i \(0.988546\pi\)
\(194\) −4.70959 12.9395i −0.338129 0.929002i
\(195\) −3.21744 1.23286i −0.230406 0.0882867i
\(196\) 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 \(0.0243938\pi\)
\(198\) −2.91725 11.6939i −0.207320 0.831050i
\(199\) −1.61915 + 9.18266i −0.114779 + 0.650942i 0.872081 + 0.489362i \(0.162770\pi\)
−0.986860 + 0.161580i \(0.948341\pi\)
\(200\) 4.98745 0.354089i 0.352666 0.0250379i
\(201\) 5.97786 2.41567i 0.421646 0.170388i
\(202\) 8.29438 14.3663i 0.583591 1.01081i
\(203\) −15.5634 + 18.5477i −1.09233 + 1.30179i
\(204\) 2.65082 4.98626i 0.185595 0.349108i
\(205\) 5.88965 + 11.5439i 0.411351 + 0.806261i
\(206\) 4.59971 + 5.48172i 0.320477 + 0.381930i
\(207\) −2.27514 + 21.6738i −0.158133 + 1.50643i
\(208\) −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
\(213\) 4.58165 + 21.5480i 0.313929 + 1.47645i
\(214\) −4.38751 1.59692i −0.299924 0.109163i
\(215\) −4.49714 2.91707i −0.306702 0.198943i
\(216\) 4.20318 3.05505i 0.285990 0.207870i
\(217\) −3.35860 5.81727i −0.227997 0.394902i
\(218\) −1.25477 + 7.11617i −0.0849840 + 0.481968i
\(219\) 6.39846 19.6968i 0.432368 1.33099i
\(220\) −5.41007 7.17147i −0.364747 0.483500i
\(221\) −1.45027 + 2.51194i −0.0975557 + 0.168971i
\(222\) −3.30427 3.66928i −0.221768 0.246266i
\(223\) 16.6715 + 6.06793i 1.11641 + 0.406339i 0.833339 0.552762i \(-0.186426\pi\)
0.283067 + 0.959100i \(0.408648\pi\)
\(224\) 3.63280 1.32223i 0.242727 0.0883453i
\(225\) 11.8091 9.24904i 0.787274 0.616603i
\(226\) −0.750910 4.25862i −0.0499498 0.283279i
\(227\) 8.60714i 0.571276i 0.958338 + 0.285638i \(0.0922054\pi\)
−0.958338 + 0.285638i \(0.907795\pi\)
\(228\) −1.79734 7.33277i −0.119032 0.485625i
\(229\) −0.547836 −0.0362020 −0.0181010 0.999836i \(-0.505762\pi\)
−0.0181010 + 0.999836i \(0.505762\pi\)
\(230\) 4.75739 + 15.5312i 0.313693 + 1.02409i
\(231\) −14.2567 22.8122i −0.938025 1.50093i
\(232\) 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 \(0.594147\pi\)
\(234\) −2.21244 + 1.49273i −0.144632 + 0.0975828i
\(235\) −17.7958 7.54270i −1.16087 0.492032i
\(236\) −0.0231373 0.0400751i −0.00150611 0.00260866i
\(237\) −6.48978 + 19.9779i −0.421556 + 1.29771i
\(238\) 2.18872 12.4129i 0.141874 0.804606i
\(239\) 7.05910 4.07557i 0.456615 0.263627i −0.254005 0.967203i \(-0.581748\pi\)
0.710620 + 0.703576i \(0.248415\pi\)
\(240\) 1.99275 3.32099i 0.128631 0.214369i
\(241\) −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
\(243\) 5.32677 14.6501i 0.341713 0.939805i
\(244\) −2.11981 + 1.77873i −0.135707 + 0.113872i
\(245\) 16.9877 5.20355i 1.08530 0.332442i
\(246\) 9.94082 + 1.39643i 0.633803 + 0.0890329i
\(247\) 0.790921 + 3.79634i 0.0503251 + 0.241555i
\(248\) −1.73753 −0.110333
\(249\) 5.21555 0.182473i 0.330522 0.0115638i
\(250\) 5.40472 9.78718i 0.341825 0.618996i
\(251\) −0.846815 2.32661i −0.0534505 0.146854i 0.910094 0.414401i \(-0.136009\pi\)
−0.963545 + 0.267547i \(0.913787\pi\)
\(252\) 6.81581 9.38374i 0.429356 0.591120i
\(253\) 18.7590 22.3561i 1.17937 1.40551i
\(254\) 2.80181 + 1.61763i 0.175801 + 0.101499i
\(255\) −6.12843 11.0404i −0.383777 0.691378i
\(256\) 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 \(0.639389\pi\)
\(258\) −3.84968 + 1.55567i −0.239671 + 0.0968515i
\(259\) −9.54462 5.51059i −0.593074 0.342411i
\(260\) −1.08256 + 1.66894i −0.0671375 + 0.103503i
\(261\) 15.2020 + 11.0418i 0.940979 + 0.683473i
\(262\) 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 \(0.268099\pi\)
\(264\) −6.95414 + 0.243300i −0.427998 + 0.0149741i
\(265\) 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 \(-0.466347\pi\)
0.997634 + 0.0687551i \(0.0219027\pi\)
\(270\) −0.616540 11.6026i −0.0375215 0.706111i
\(271\) 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
\(273\) −3.66721 + 4.69445i −0.221950 + 0.284121i
\(274\) −8.28792 + 4.78503i −0.500692 + 0.289074i
\(275\) −20.0367 + 1.42253i −1.20826 + 0.0857818i
\(276\) 11.9666 + 3.88730i 0.720302 + 0.233988i
\(277\) −9.66682 + 5.58114i −0.580823 + 0.335338i −0.761460 0.648212i \(-0.775517\pi\)
0.180638 + 0.983550i \(0.442184\pi\)
\(278\) −18.9061 10.9154i −1.13391 0.654664i
\(279\) −4.32105 + 2.91541i −0.258695 + 0.174541i
\(280\) 1.94011 8.42400i 0.115944 0.503430i
\(281\) 18.5627 6.75629i 1.10736 0.403046i 0.277336 0.960773i \(-0.410548\pi\)
0.830025 + 0.557727i \(0.188326\pi\)
\(282\) −12.6962 + 7.93459i −0.756045 + 0.472498i
\(283\) −3.30932 + 0.583522i −0.196719 + 0.0346868i −0.271139 0.962540i \(-0.587400\pi\)
0.0744206 + 0.997227i \(0.476289\pi\)
\(284\) 12.7189 0.754725
\(285\) −15.9432 5.55114i −0.944392 0.328821i
\(286\) 3.57407 0.211339
\(287\) 22.0654 3.89073i 1.30248 0.229662i
\(288\) −1.22057 2.74048i −0.0719227 0.161484i
\(289\) 5.98594 2.17871i 0.352114 0.128159i
\(290\) 13.6472 + 3.14305i 0.801389 + 0.184566i
\(291\) −17.7231 + 15.9601i −1.03895 + 0.935596i
\(292\) −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 \(0.138480\pi\)
\(294\) 4.25187 13.0888i 0.247974 0.763355i
\(295\) −0.103334 0.00536040i −0.00601636 0.000312095i
\(296\) −2.46890 + 1.42542i −0.143502 + 0.0828507i
\(297\) −16.8860 + 12.2734i −0.979823 + 0.712177i
\(298\) −15.1960 12.7509i −0.880280 0.738642i
\(299\) −6.07286 2.21034i −0.351202 0.127827i
\(300\) −3.80519 7.77949i −0.219693 0.449149i
\(301\) −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
\(306\) −9.72761 1.02112i −0.556090 0.0583738i
\(307\) 21.0299 17.6462i 1.20024 1.00712i 0.200616 0.979670i \(-0.435706\pi\)
0.999623 0.0274503i \(-0.00873881\pi\)
\(308\) −14.5945 + 5.31198i −0.831601 + 0.302678i
\(309\) 5.81808 10.9439i 0.330979 0.622579i
\(310\) −2.11432 + 3.25956i −0.120085 + 0.185130i
\(311\) 12.0317 + 6.94649i 0.682254 + 0.393899i 0.800704 0.599061i \(-0.204459\pi\)
−0.118450 + 0.992960i \(0.537793\pi\)
\(312\) 0.577325 + 1.42866i 0.0326846 + 0.0808820i
\(313\) 2.56217 + 0.451779i 0.144822 + 0.0255361i 0.245589 0.969374i \(-0.421019\pi\)
−0.100767 + 0.994910i \(0.532130\pi\)
\(314\) 3.78665 21.4751i 0.213693 1.21191i
\(315\) −9.30981 24.2049i −0.524548 1.36379i
\(316\) 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 \(0.0634679\pi\)
\(318\) 9.23035 17.3625i 0.517612 0.973641i
\(319\) −8.60558 23.6436i −0.481820 1.32379i
\(320\) −1.63617 1.52412i −0.0914646 0.0852011i
\(321\) 0.282765 + 8.08215i 0.0157824 + 0.451102i
\(322\) 28.0834 1.56502
\(323\) −6.72255 + 12.5210i −0.374053 + 0.696687i
\(324\) −7.63368 4.76727i −0.424093 0.264849i
\(325\) 1.81357 + 4.06170i 0.100599 + 0.225303i
\(326\) 1.98897 1.66895i 0.110159 0.0924344i
\(327\) 12.2420 2.60297i 0.676987 0.143944i
\(328\) 1.98224 5.44616i 0.109451 0.300714i
\(329\) −21.4799 + 25.5987i −1.18423 + 1.41130i
\(330\) −8.00574 + 13.3418i −0.440701 + 0.734444i
\(331\) −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
\(333\) −3.74817 + 7.68743i −0.205398 + 0.421269i
\(334\) 10.8278 + 18.7543i 0.592471 + 1.02619i
\(335\) −7.66372 3.24825i −0.418714 0.177471i
\(336\) −4.48084 4.97582i −0.244450 0.271453i
\(337\) 21.6519 + 7.88064i 1.17945 + 0.429286i 0.856009 0.516962i \(-0.172937\pi\)
0.323444 + 0.946247i \(0.395159\pi\)
\(338\) 4.17557 + 11.4723i 0.227121 + 0.624010i
\(339\) −6.35157 + 3.96948i −0.344970 + 0.215593i
\(340\) −6.97068 + 2.13521i −0.378038 + 0.115798i
\(341\) 6.98041 0.378010
\(342\) −10.6092 + 7.64488i −0.573682 + 0.413388i
\(343\) 3.65545i 0.197376i
\(344\) 0.416275 + 2.36081i 0.0224440 + 0.127286i
\(345\) 21.8540 17.7187i 1.17658 0.953940i
\(346\) −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 \(0.507142\pi\)
\(348\) 8.06099 7.25911i 0.432115 0.389129i
\(349\) 11.1495 19.3114i 0.596817 1.03372i −0.396470 0.918048i \(-0.629765\pi\)
0.993288 0.115670i \(-0.0369016\pi\)
\(350\) −13.4424 13.8904i −0.718524 0.742471i
\(351\) 3.83290 + 2.58423i 0.204585 + 0.137936i
\(352\) −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 \(0.565533\pi\)
\(354\) −0.0493412 + 0.0631624i −0.00262246 + 0.00335704i
\(355\) 15.4770 23.8602i 0.821432 1.26637i
\(356\) −7.98005 2.90450i −0.422942 0.153938i
\(357\) −21.3540 + 4.54040i −1.13017 + 0.240303i
\(358\) 4.70302 + 5.60484i 0.248562 + 0.296225i
\(359\) 17.4683 3.08014i 0.921943 0.162563i 0.307521 0.951541i \(-0.400500\pi\)
0.614422 + 0.788978i \(0.289389\pi\)
\(360\) −6.62631 1.04500i −0.349237 0.0550764i
\(361\) 4.44742 + 18.4722i 0.234075 + 0.972219i
\(362\) 11.5254 0.605762
\(363\) 8.89688 0.311269i 0.466965 0.0163374i
\(364\) 2.21074 + 2.63466i 0.115874 + 0.138094i
\(365\) −23.8160 + 12.1508i −1.24658 + 0.636002i
\(366\) 4.23208 + 2.24988i 0.221214 + 0.117603i
\(367\) −0.560061 + 0.667455i −0.0292350 + 0.0348409i −0.780464 0.625201i \(-0.785017\pi\)
0.751229 + 0.660042i \(0.229461\pi\)
\(368\) 3.63214 6.29106i 0.189339 0.327944i
\(369\) −4.20852 16.8700i −0.219087 0.878219i
\(370\) −0.330237 + 6.36610i −0.0171682 + 0.330958i
\(371\) 7.62128 43.2224i 0.395677 2.24400i
\(372\) 1.12756 + 2.79028i 0.0584611 + 0.144669i
\(373\) −7.46389 + 12.9278i −0.386466 + 0.669378i −0.991971 0.126463i \(-0.959638\pi\)
0.605506 + 0.795841i \(0.292971\pi\)
\(374\) 10.0338 + 8.41939i 0.518837 + 0.435356i
\(375\) −19.2245 2.32805i −0.992747 0.120220i
\(376\) 2.95638 + 8.12259i 0.152464 + 0.418891i
\(377\) −4.26823 + 3.58147i −0.219825 + 0.184455i
\(378\) −19.4923 4.85591i −1.00258 0.249761i
\(379\) 15.9056i 0.817015i −0.912755 0.408507i \(-0.866049\pi\)
0.912755 0.408507i \(-0.133951\pi\)
\(380\) −5.04924 + 8.33697i −0.259021 + 0.427678i
\(381\) 0.779510 5.54914i 0.0399355 0.284291i
\(382\) 4.07578 + 23.1149i 0.208535 + 1.18266i
\(383\) 20.0560 + 23.9018i 1.02482 + 1.22133i 0.974916 + 0.222573i \(0.0714456\pi\)
0.0498995 + 0.998754i \(0.484110\pi\)
\(384\) −1.69418 + 0.360225i −0.0864556 + 0.0183826i
\(385\) −7.79427 + 33.8428i −0.397233 + 1.72479i
\(386\) 14.0855 16.7865i 0.716934 0.854409i
\(387\) 4.99645 + 5.17262i 0.253984 + 0.262939i
\(388\) 6.88497 + 11.9251i 0.349531 + 0.605406i
\(389\) −4.85075 0.855317i −0.245943 0.0433663i 0.0493178 0.998783i \(-0.484295\pi\)
−0.295260 + 0.955417i \(0.595406\pi\)
\(390\) 3.38265 + 0.655423i 0.171287 + 0.0331886i
\(391\) −11.8421 20.5111i −0.598879 1.03729i
\(392\) −6.88105 3.97278i −0.347545 0.200655i
\(393\) −9.07718 10.0799i −0.457883 0.508464i
\(394\) −4.14982 + 11.4015i −0.209065 + 0.574401i
\(395\) 24.1558 12.3242i 1.21541 0.620098i
\(396\) 4.90355 + 11.0097i 0.246413 + 0.553257i
\(397\) 30.3973 5.35986i 1.52560 0.269004i 0.652966 0.757387i \(-0.273524\pi\)
0.872629 + 0.488383i \(0.162413\pi\)
\(398\) 9.32432i 0.467386i
\(399\) −17.2496 + 23.5446i −0.863558 + 1.17871i
\(400\) −4.85019 + 1.21477i −0.242509 + 0.0607385i
\(401\) 5.52383 + 31.3272i 0.275847 + 1.56441i 0.736258 + 0.676701i \(0.236591\pi\)
−0.460411 + 0.887706i \(0.652298\pi\)
\(402\) −5.46756 + 3.41701i −0.272697 + 0.170425i
\(403\) −0.528686 1.45255i −0.0263358 0.0723569i
\(404\) −5.67369 + 15.5883i −0.282277 + 0.775549i
\(405\) −18.2323 + 8.51951i −0.905972 + 0.423338i
\(406\) 12.1062 20.9685i 0.600818 1.04065i
\(407\) 9.91862 5.72652i 0.491648 0.283853i
\(408\) −1.74470 + 5.37082i −0.0863753 + 0.265895i
\(409\) 22.7535 + 4.01205i 1.12509 + 0.198383i 0.705073 0.709135i \(-0.250914\pi\)
0.420014 + 0.907518i \(0.362025\pi\)
\(410\) −7.80475 10.3458i −0.385449 0.510943i
\(411\) 13.0626 + 10.2043i 0.644331 + 0.503339i
\(412\) −5.48172 4.59971i −0.270065 0.226611i
\(413\) −0.0611859 + 0.168107i −0.00301076 + 0.00827199i
\(414\) −1.52304 21.7396i −0.0748533 1.06844i
\(415\) −4.92984 4.59225i −0.241996 0.225425i
\(416\) 0.876124 0.154484i 0.0429555 0.00757422i
\(417\) −5.25999 + 37.4445i −0.257583 + 1.83367i
\(418\) 17.5032 0.540443i 0.856111 0.0264339i
\(419\) 19.6488i 0.959909i 0.877293 + 0.479954i \(0.159347\pi\)
−0.877293 + 0.479954i \(0.840653\pi\)
\(420\) −14.7870 + 2.35109i −0.721532 + 0.114721i
\(421\) −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
\(423\) 20.9811 + 15.2395i 1.02014 + 0.740969i
\(424\) −8.69672 7.29742i −0.422350 0.354394i
\(425\) −4.47670 + 15.6750i −0.217152 + 0.760350i
\(426\) −8.25381 20.4251i −0.399899 0.989597i
\(427\) 10.5354 + 1.85767i 0.509843 + 0.0898991i
\(428\) 4.59815 + 0.810778i 0.222260 + 0.0391904i
\(429\) −2.31936 5.73955i −0.111980 0.277108i
\(430\) 4.93536 + 2.09184i 0.238004 + 0.100877i
\(431\) −10.7509 9.02106i −0.517852 0.434529i 0.346030 0.938223i \(-0.387529\pi\)
−0.863882 + 0.503694i \(0.831974\pi\)
\(432\) −3.60882 + 3.73851i −0.173629 + 0.179869i
\(433\) 5.13986 1.87075i 0.247006 0.0899027i −0.215550 0.976493i \(-0.569155\pi\)
0.462556 + 0.886590i \(0.346932\pi\)
\(434\) 4.31773 + 5.14567i 0.207258 + 0.247000i
\(435\) −3.80885 23.9555i −0.182620 1.14858i
\(436\) 7.22595i 0.346060i
\(437\) −30.0748 9.90638i −1.43867 0.473886i
\(438\) −2.88094 + 20.5087i −0.137656 + 0.979942i
\(439\) −26.6777 + 4.70400i −1.27326 + 0.224510i −0.769115 0.639111i \(-0.779303\pi\)
−0.504143 + 0.863620i \(0.668191\pi\)
\(440\) 6.57319 + 6.12307i 0.313365 + 0.291906i
\(441\) −23.7784 + 1.66587i −1.13230 + 0.0793273i
\(442\) 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 \(-0.651953\pi\)
\(444\) 3.89123 + 3.03975i 0.184670 + 0.144260i
\(445\) −15.1593 + 11.4360i −0.718620 + 0.542118i
\(446\) −17.4719 3.08077i −0.827319 0.145879i
\(447\) −10.6153 + 32.6777i −0.502084 + 1.54560i
\(448\) −3.34801 + 1.93297i −0.158179 + 0.0913244i
\(449\) −8.43082 + 14.6026i −0.397875 + 0.689140i −0.993464 0.114150i \(-0.963586\pi\)
0.595589 + 0.803290i \(0.296919\pi\)
\(450\) −10.0236 + 11.1592i −0.472519 + 0.526048i
\(451\) −7.96352 + 21.8796i −0.374987 + 1.03027i
\(452\) 1.47900 + 4.06353i 0.0695665 + 0.191132i
\(453\) 9.65951 6.03681i 0.453843 0.283634i
\(454\) −1.49461 8.47638i −0.0701457 0.397816i
\(455\) 7.63269 0.941298i 0.357826 0.0441287i
\(456\) 3.04336 + 6.90927i 0.142518 + 0.323556i
\(457\) 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
\(459\) 4.67285 + 16.2841i 0.218110 + 0.760076i
\(460\) −7.38207 14.4691i −0.344191 0.674625i
\(461\) −4.22524 + 11.6088i −0.196789 + 0.540674i −0.998361 0.0572241i \(-0.981775\pi\)
0.801572 + 0.597898i \(0.203997\pi\)
\(462\) 18.0015 + 19.9900i 0.837503 + 0.930019i
\(463\) 30.4784 + 17.5967i 1.41645 + 0.817789i 0.995985 0.0895191i \(-0.0285330\pi\)
0.420467 + 0.907308i \(0.361866\pi\)
\(464\) −3.13148 5.42389i −0.145375 0.251798i
\(465\) 6.60655 + 1.28009i 0.306372 + 0.0593627i
\(466\) −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 \(0.781455\pi\)
\(468\) 1.91962 1.85424i 0.0887343 0.0857122i
\(469\) −9.25026 + 11.0240i −0.427137 + 0.509042i
\(470\) 18.8352 + 4.33790i 0.868805 + 0.200093i
\(471\) −36.9440 + 7.85521i −1.70229 + 0.361949i
\(472\) 0.0297448 + 0.0354485i 0.00136912 + 0.00163165i
\(473\) −1.67235 9.48440i −0.0768950 0.436093i
\(474\) 2.92205 20.8014i 0.134214 0.955438i
\(475\) 9.49575 + 19.6171i 0.435695 + 0.900094i
\(476\) 12.6043i 0.577719i
\(477\) −33.8722 3.55563i −1.55090 0.162801i
\(478\) −6.24414 + 5.23946i −0.285600 + 0.239647i
\(479\) −12.2466 33.6473i −0.559561 1.53738i −0.820277 0.571967i \(-0.806181\pi\)
0.260715 0.965416i \(-0.416042\pi\)
\(480\) −1.38579 + 3.61657i −0.0632525 + 0.165073i
\(481\) −1.94285 1.63025i −0.0885865 0.0743329i
\(482\) 9.74778 16.8836i 0.443999 0.769029i
\(483\) −18.2245 45.0987i −0.829243 2.05206i
\(484\) 0.892510 5.06167i 0.0405686 0.230076i
\(485\) 30.7492 + 1.59509i 1.39625 + 0.0724294i
\(486\) −2.70188 + 15.3525i −0.122560 + 0.696404i
\(487\) −2.83150 + 4.90431i −0.128308 + 0.222235i −0.923021 0.384749i \(-0.874288\pi\)
0.794713 + 0.606985i \(0.207621\pi\)
\(488\) 1.77873 2.11981i 0.0805194 0.0959593i
\(489\) −3.97087 2.11101i −0.179569 0.0954634i
\(490\) −15.8260 + 8.07438i −0.714947 + 0.364763i
\(491\) 21.5559 + 25.6893i 0.972803 + 1.15934i 0.987207 + 0.159445i \(0.0509705\pi\)
−0.0144039 + 0.999896i \(0.504585\pi\)
\(492\) −10.0323 + 0.350992i −0.452290 + 0.0158240i
\(493\) −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
\(498\) −5.10463 + 1.08537i −0.228744 + 0.0486367i
\(499\) −33.5611 12.2152i −1.50240 0.546829i −0.545719 0.837969i \(-0.683743\pi\)
−0.956680 + 0.291140i \(0.905965\pi\)
\(500\) −3.62309 + 10.5770i −0.162029 + 0.473018i
\(501\) 23.0907 29.5587i 1.03162 1.32059i
\(502\) 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 \(0.0222267\pi\)
\(504\) −5.08279 + 10.4247i −0.226406 + 0.464355i
\(505\) 22.3392 + 29.6124i 0.994083 + 1.31773i
\(506\) −14.5919 + 25.2739i −0.648689 + 1.12356i
\(507\) 15.7135 14.1503i 0.697860 0.628439i
\(508\) −3.04014 1.10652i −0.134885 0.0490940i
\(509\) 11.5642 4.20904i 0.512576 0.186563i −0.0727656 0.997349i \(-0.523183\pi\)
0.585342 + 0.810787i \(0.300960\pi\)
\(510\) 7.95247 + 9.80849i 0.352141 + 0.434327i
\(511\) 8.02687 + 45.5226i 0.355088 + 2.01380i
\(512\) 1.00000i 0.0441942i
\(513\) 19.1616 + 12.0761i 0.846005 + 0.533175i
\(514\) 8.34705 0.368172
\(515\) −15.2994 + 4.68639i −0.674171 + 0.206507i
\(516\) 3.52106 2.20052i 0.155006 0.0968725i
\(517\) −11.8771 32.6320i −0.522353 1.43515i
\(518\) 10.3565 + 3.76947i 0.455039 + 0.165621i
\(519\) 7.21020 + 8.00669i 0.316493 + 0.351455i
\(520\) 0.776305 1.83157i 0.0340432 0.0803196i
\(521\) −2.61622 4.53143i −0.114619 0.198526i 0.803009 0.595968i \(-0.203231\pi\)
−0.917627 + 0.397442i \(0.869898\pi\)
\(522\) −16.8884 8.23430i −0.739187 0.360406i
\(523\) 6.20970 35.2170i 0.271531 1.53993i −0.478237 0.878231i \(-0.658724\pi\)
0.749769 0.661700i \(-0.230165\pi\)
\(524\) −6.78232 + 3.91578i −0.296287 + 0.171061i
\(525\) −13.5830 + 30.6009i −0.592812 + 1.33553i
\(526\) −0.633825 + 0.755363i −0.0276361 + 0.0329354i
\(527\) 1.93753 5.32332i 0.0844001 0.231887i
\(528\) 6.80624 1.44718i 0.296204 0.0629803i
\(529\) 22.8051 19.1357i 0.991525 0.831988i
\(530\) −24.2724 + 7.43493i −1.05432 + 0.322953i
\(531\) 0.133451 + 0.0382476i 0.00579129 + 0.00165981i
\(532\) 11.2250 + 12.5684i 0.486666 + 0.544909i
\(533\) 5.15607 0.223334
\(534\) 0.514296 + 14.6999i 0.0222558 + 0.636127i
\(535\) 7.11627 7.63941i 0.307663 0.330280i
\(536\) 1.27316 + 3.49797i 0.0549920 + 0.151089i
\(537\) 5.94875 11.1897i 0.256707 0.482873i
\(538\) −15.1820 + 18.0932i −0.654541 + 0.780052i
\(539\) 27.6441 + 15.9604i 1.19072 + 0.687461i
\(540\) 2.62194 + 11.3193i 0.112830 + 0.487103i
\(541\) 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
\(543\) −7.47934 18.5085i −0.320969 0.794276i
\(544\) 2.82355 + 1.63018i 0.121059 + 0.0698932i
\(545\) −13.5557 8.79292i −0.580662 0.376647i
\(546\) 2.79632 5.25994i 0.119671 0.225105i
\(547\) −2.66159 + 0.968739i −0.113801 + 0.0414203i −0.398293 0.917258i \(-0.630397\pi\)
0.284492 + 0.958678i \(0.408175\pi\)
\(548\) 7.33110 6.15152i 0.313169 0.262780i
\(549\) 0.866678 8.25629i 0.0369889 0.352370i
\(550\) 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
\(555\) 10.4375 3.60091i 0.443049 0.152850i
\(556\) 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 \(0.676880\pi\)
\(558\) 3.74915 3.62146i 0.158714 0.153309i
\(559\) −1.84695 + 1.06634i −0.0781176 + 0.0451012i
\(560\) −0.447827 + 8.63291i −0.0189241 + 0.364807i
\(561\) 7.00920 21.5769i 0.295929 0.910978i
\(562\) −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 \(0.428564\pi\)
\(564\) 11.1254 10.0187i 0.468466 0.421864i
\(565\) 9.42280 + 2.17015i 0.396420 + 0.0912987i
\(566\) 3.15771 1.14931i 0.132729 0.0483093i
\(567\) 4.85135 + 34.4537i 0.203737 + 1.44692i
\(568\) −12.5256 + 2.20861i −0.525564 + 0.0926711i
\(569\) −39.3716 −1.65054 −0.825272 0.564735i \(-0.808978\pi\)
−0.825272 + 0.564735i \(0.808978\pi\)
\(570\) 16.6649 + 2.69830i 0.698016 + 0.113019i
\(571\) 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
\(573\) 34.4750 21.5455i 1.44021 0.900076i
\(574\) −21.0546 + 7.66324i −0.878801 + 0.319857i
\(575\) −36.1265 3.75819i −1.50658 0.156727i
\(576\) 1.67790 + 2.48689i 0.0699127 + 0.103621i
\(577\) −36.8254 21.2611i −1.53306 0.885113i −0.999218 0.0395281i \(-0.987415\pi\)
−0.533842 0.845585i \(-0.679252\pi\)
\(578\) −5.51668 + 3.18505i −0.229463 + 0.132481i
\(579\) −36.0979 11.7263i −1.50018 0.487328i
\(580\) −13.9856 0.725494i −0.580721 0.0301245i
\(581\) −10.0877 + 5.82413i −0.418508 + 0.241626i
\(582\) 14.6824 18.7952i 0.608606 0.779086i
\(583\) 34.9385 + 29.3169i 1.44700 + 1.21418i
\(584\) 11.2358 + 4.08951i 0.464943 + 0.169225i
\(585\) −1.14261 5.85748i −0.0472411 0.242177i
\(586\) −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
\(591\) 21.0026 0.734802i 0.863930 0.0302257i
\(592\) 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 \(0.545956\pi\)
\(594\) 14.4982 15.0192i 0.594867 0.616245i
\(595\) 23.6454 + 15.3376i 0.969367 + 0.628781i
\(596\) 17.1793 + 9.91847i 0.703691 + 0.406276i
\(597\) −14.9738 + 6.05095i −0.612837 + 0.247649i
\(598\) 6.36442 + 1.12222i 0.260260 + 0.0458909i
\(599\) 4.52174 25.6440i 0.184753 1.04779i −0.741519 0.670932i \(-0.765894\pi\)
0.926272 0.376855i \(-0.122995\pi\)
\(600\) 5.09828 + 7.00054i 0.208136 + 0.285796i
\(601\) 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
\(603\) 9.03547 + 6.56285i 0.367953 + 0.267260i
\(604\) −2.24928 6.17985i −0.0915219 0.251454i
\(605\) −8.40951 7.83363i −0.341895 0.318482i
\(606\) 28.7150 1.00463i 1.16647 0.0408104i
\(607\) −13.9107 −0.564620 −0.282310 0.959323i \(-0.591101\pi\)
−0.282310 + 0.959323i \(0.591101\pi\)
\(608\) 4.26727 0.889035i 0.173061 0.0360551i
\(609\) −41.5292 5.83378i −1.68285 0.236396i
\(610\) −1.81225 5.91635i −0.0733759 0.239546i
\(611\) −5.89084 + 4.94300i −0.238318 + 0.199972i
\(612\) 9.75714 0.683569i 0.394409 0.0276317i
\(613\) 1.92488 5.28856i 0.0777452 0.213603i −0.894731 0.446605i \(-0.852633\pi\)
0.972476 + 0.233002i \(0.0748550\pi\)
\(614\) −17.6462 + 21.0299i −0.712142 + 0.848697i
\(615\) −11.5493 + 19.2474i −0.465715 + 0.776129i
\(616\) 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 \(-0.110688\pi\)
\(618\) −3.82929 + 11.7880i −0.154037 + 0.474182i
\(619\) −10.4425 18.0870i −0.419721 0.726978i 0.576190 0.817315i \(-0.304539\pi\)
−0.995911 + 0.0903379i \(0.971205\pi\)
\(620\) 1.51618 3.57719i 0.0608912 0.143663i
\(621\) −33.9229 + 16.5536i −1.36128 + 0.664272i
\(622\) −13.0551 4.75168i −0.523463 0.190525i
\(623\) 11.2286 + 30.8505i 0.449866 + 1.23600i
\(624\) −0.816639 1.30670i −0.0326917 0.0523101i
\(625\) 15.4334 + 19.6675i 0.617337 + 0.786699i
\(626\) −2.60169 −0.103985
\(627\) −12.2265 27.7575i −0.488279 1.10853i
\(628\) 21.8064i 0.870171i
\(629\) −1.61401 9.15352i −0.0643549 0.364975i
\(630\) 13.3715 + 22.2205i 0.532734 + 0.885288i
\(631\) −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
\(633\) −14.0561 15.6089i −0.558681 0.620396i
\(634\) −8.51626 + 14.7506i −0.338224 + 0.585821i
\(635\) −5.77521 + 4.35675i −0.229182 + 0.172892i
\(636\) −6.07515 + 18.7016i −0.240895 + 0.741565i
\(637\) 1.22746 6.96129i 0.0486339 0.275816i
\(638\) 12.5805 + 21.7901i 0.498068 + 0.862678i
\(639\) −27.4441 + 26.5094i −1.08567 + 1.04869i
\(640\) 1.87597 + 1.21685i 0.0741543 + 0.0481003i
\(641\) 43.0495 + 15.6687i 1.70035 + 0.618878i 0.995866 0.0908379i \(-0.0289545\pi\)
0.704488 + 0.709716i \(0.251177\pi\)
\(642\) −1.68192 7.91026i −0.0663801 0.312193i
\(643\) −10.2594 12.2266i −0.404590 0.482172i 0.524824 0.851211i \(-0.324131\pi\)
−0.929414 + 0.369039i \(0.879687\pi\)
\(644\) −27.6567 + 4.87662i −1.08983 + 0.192166i
\(645\) 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 \(0.578487\pi\)
\(648\) 8.34554 + 3.36927i 0.327844 + 0.132358i
\(649\) −0.119498 0.142412i −0.00469069 0.00559015i
\(650\) −2.49132 3.68508i −0.0977177 0.144541i
\(651\) 5.46141 10.2730i 0.214050 0.402632i
\(652\) −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 \(0.179914\pi\)
\(654\) −11.6041 + 4.68923i −0.453755 + 0.183363i
\(655\) −0.907197 + 17.4884i −0.0354471 + 0.683327i
\(656\) −1.00641 + 5.70763i −0.0392937 + 0.222846i
\(657\) 34.8042 8.68249i 1.35784 0.338736i
\(658\) 16.7084 28.9398i 0.651361 1.12819i
\(659\) 6.27245 + 5.26321i 0.244340 + 0.205026i 0.756730 0.653727i \(-0.226796\pi\)
−0.512391 + 0.858753i \(0.671240\pi\)
\(660\) 5.56733 14.5293i 0.216708 0.565553i
\(661\) −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
\(663\) −5.02081 + 0.175660i −0.194992 + 0.00682205i
\(664\) 3.01304i 0.116929i
\(665\) 37.2371 5.76397i 1.44399 0.223517i
\(666\) 2.35631 8.22150i 0.0913053 0.318577i
\(667\) −7.90030 44.8048i −0.305901 1.73485i
\(668\) −13.9200 16.5892i −0.538579 0.641854i
\(669\) 6.39090 + 30.0571i 0.247087 + 1.16208i
\(670\) 8.11134 + 1.86811i 0.313368 + 0.0721712i
\(671\) −7.14594 + 8.51620i −0.275866 + 0.328764i
\(672\) 5.27680 + 4.12213i 0.203557 + 0.159015i
\(673\) 15.4166 + 26.7024i 0.594268 + 1.02930i 0.993650 + 0.112517i \(0.0358913\pi\)
−0.399382 + 0.916785i \(0.630775\pi\)
\(674\) −22.6914 4.00110i −0.874040 0.154117i
\(675\) 24.4251 + 8.85516i 0.940123 + 0.340835i
\(676\) −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 \(0.728135\pi\)
\(678\) 5.56578 5.01211i 0.213753 0.192489i
\(679\) 18.2070 50.0234i 0.698722 1.91972i
\(680\) 6.49400 3.31321i 0.249034 0.127056i
\(681\) −12.6422 + 7.90086i −0.484449 + 0.302762i
\(682\) −6.87436 + 1.21214i −0.263233 + 0.0464151i
\(683\) 9.22304i 0.352910i −0.984309 0.176455i \(-0.943537\pi\)
0.984309 0.176455i \(-0.0564630\pi\)
\(684\) 9.12054 9.37101i 0.348732 0.358310i
\(685\) −2.61922 21.2384i −0.100075 0.811478i
\(686\) 0.634763 + 3.59992i 0.0242353 + 0.137445i
\(687\) −0.502883 0.804663i −0.0191862 0.0306998i
\(688\) −0.819901 2.25266i −0.0312584 0.0858818i
\(689\) 3.45436 9.49077i 0.131601 0.361570i
\(690\) −18.4452 + 21.2444i −0.702196 + 0.808760i
\(691\) 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
\(693\) 20.4198 41.8807i 0.775683 1.59092i
\(694\) −11.7720 2.07572i −0.446859 0.0787933i
\(695\) 38.9700 29.3985i 1.47822 1.11515i
\(696\) −6.67800 + 8.54860i −0.253129 + 0.324034i
\(697\) 14.4751 + 12.1461i 0.548285 + 0.460066i
\(698\) −7.62668 + 20.9541i −0.288674 + 0.793126i
\(699\) 0.585793 + 2.75505i 0.0221567 + 0.104206i
\(700\) 15.6502 + 11.3451i 0.591521 + 0.428804i
\(701\) 6.38170 1.12527i 0.241033 0.0425007i −0.0518263 0.998656i \(-0.516504\pi\)
0.292860 + 0.956155i \(0.405393\pi\)
\(702\) −4.22342 1.87939i −0.159403 0.0709331i
\(703\) −9.76123 7.69001i −0.368152 0.290034i
\(704\) 4.01743i 0.151413i
\(705\) −5.25681 33.0623i −0.197983 1.24520i
\(706\) −18.0072 21.4601i −0.677710 0.807663i
\(707\) 60.2637 21.9342i 2.26645 0.824920i
\(708\) 0.0376236 0.0707708i 0.00141398 0.00265973i
\(709\) −30.5872 25.6657i −1.14873 0.963896i −0.149037 0.988832i \(-0.547617\pi\)
−0.999689 + 0.0249357i \(0.992062\pi\)
\(710\) −11.0986 + 26.1853i −0.416521 + 0.982716i
\(711\) −35.3009 + 8.80641i −1.32389 + 0.330266i
\(712\) 8.36318 + 1.47465i 0.313423 + 0.0552650i
\(713\) 12.4302 + 2.19177i 0.465513 + 0.0820826i
\(714\) 20.2412 8.17950i 0.757506 0.306110i
\(715\) −3.11875 + 7.35820i −0.116635 + 0.275181i
\(716\) −5.60484 4.70302i −0.209463 0.175760i
\(717\) 12.4661 + 6.62728i 0.465554 + 0.247500i
\(718\) −16.6681 + 6.06669i −0.622048 + 0.226407i
\(719\) 22.3939 + 26.6880i 0.835152 + 0.995296i 0.999960 + 0.00897016i \(0.00285533\pi\)
−0.164807 + 0.986326i \(0.552700\pi\)
\(720\) 6.70710 0.121521i 0.249959 0.00452881i
\(721\) 27.6643i 1.03027i
\(722\) −7.58751 17.4192i −0.282378 0.648277i
\(723\) −33.4390 4.69731i −1.24361 0.174695i
\(724\) −11.3503 + 2.00137i −0.421831 + 0.0743802i
\(725\) −18.3794 + 25.3538i −0.682595 + 0.941617i
\(726\) −8.70766 + 1.85147i −0.323172 + 0.0687144i
\(727\) −17.1263 + 47.0541i −0.635179 + 1.74514i 0.0311866 + 0.999514i \(0.490071\pi\)
−0.666365 + 0.745625i \(0.732151\pi\)
\(728\) −2.63466 2.21074i −0.0976469 0.0819355i
\(729\) 26.4078 5.62399i 0.978066 0.208296i
\(730\) 21.3442 16.1018i 0.789983 0.595954i
\(731\) −7.69707 1.35720i −0.284687 0.0501979i
\(732\) −4.55847 1.48081i −0.168486 0.0547322i
\(733\) −25.6802 + 14.8265i −0.948521 + 0.547629i −0.892621 0.450808i \(-0.851136\pi\)
−0.0558997 + 0.998436i \(0.517803\pi\)
\(734\) 0.435650 0.754569i 0.0160801 0.0278516i
\(735\) 23.2367 + 20.1750i 0.857100 + 0.744167i
\(736\) −2.48453 + 6.82620i −0.0915811 + 0.251617i
\(737\) −5.11482 14.0529i −0.188407 0.517644i
\(738\) 7.07403 + 15.8829i 0.260399 + 0.584659i
\(739\) 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
\(741\) −4.85005 + 4.64653i −0.178171 + 0.170694i
\(742\) 43.8892i 1.61122i
\(743\) 7.70027 1.35777i 0.282496 0.0498116i −0.0306050 0.999532i \(-0.509743\pi\)
0.313101 + 0.949720i \(0.398632\pi\)
\(744\) −1.59495 2.55209i −0.0584739 0.0935641i
\(745\) 39.5114 20.1586i 1.44759 0.738553i
\(746\) 5.10560 14.0275i 0.186929 0.513584i
\(747\) 5.05560 + 7.49312i 0.184975 + 0.274159i
\(748\) −11.3434 6.54912i −0.414756 0.239460i
\(749\) −9.02522 15.6321i −0.329774 0.571186i
\(750\) 19.3367 1.04561i 0.706075 0.0381803i
\(751\) 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
\(753\) 2.64000 3.37950i 0.0962068 0.123156i
\(754\) 3.58147 4.26823i 0.130430 0.155440i
\(755\) −14.3303 3.30037i −0.521532 0.120113i
\(756\) 20.0394 + 1.39734i 0.728826 + 0.0508206i
\(757\) −0.216899 0.258490i −0.00788332 0.00939498i 0.762088 0.647473i \(-0.224174\pi\)
−0.769972 + 0.638078i \(0.779730\pi\)
\(758\) 2.76198 + 15.6639i 0.100319 + 0.568940i
\(759\) 50.0563 + 7.03162i 1.81693 + 0.255232i
\(760\) 3.52483 9.08711i 0.127859 0.329624i
\(761\) 3.44946i 0.125043i −0.998044 0.0625214i \(-0.980086\pi\)
0.998044 0.0625214i \(-0.0199142\pi\)
\(762\) 0.195930 + 5.60020i 0.00709781 + 0.202874i
\(763\) −21.3996 + 17.9564i −0.774716 + 0.650064i
\(764\) −8.02773 22.0560i −0.290433 0.797958i
\(765\) 10.5906 19.1359i 0.382905 0.691861i
\(766\) −23.9018 20.0560i −0.863609 0.724654i
\(767\) −0.0205839 + 0.0356524i −0.000743242 + 0.00128733i
\(768\) 1.60589 0.648943i 0.0579475 0.0234167i
\(769\) −1.74841 + 9.91572i −0.0630493 + 0.357570i 0.936919 + 0.349548i \(0.113665\pi\)
−0.999968 + 0.00802243i \(0.997446\pi\)
\(770\) 1.79911 34.6821i 0.0648355 1.24986i
\(771\) −5.41676 13.4044i −0.195080 0.482748i
\(772\) −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 \(0.337038\pi\)
\(774\)