Properties

Label 570.2.n.a.179.16
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
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.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.16
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.15471 - 1.29099i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.17455 - 0.520902i) q^{5} +(-1.64550 + 0.540671i) q^{6} -4.14066i q^{7} -1.00000i q^{8} +(-0.333286 - 2.98143i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.15471 - 1.29099i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.17455 - 0.520902i) q^{5} +(-1.64550 + 0.540671i) q^{6} -4.14066i q^{7} -1.00000i q^{8} +(-0.333286 - 2.98143i) q^{9} +(-2.14367 - 0.636160i) q^{10} +0.276925i q^{11} +(1.69538 + 0.354516i) q^{12} +(0.418840 + 0.725452i) q^{13} +(-2.07033 + 3.58592i) q^{14} +(1.83850 - 3.40880i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.82932 + 4.90052i) q^{17} +(-1.20208 + 2.74864i) q^{18} +(-2.04202 - 3.85099i) q^{19} +(1.53839 + 1.62276i) q^{20} +(-5.34553 - 4.78126i) q^{21} +(0.138462 - 0.239824i) q^{22} +(0.101759 + 0.176252i) q^{23} +(-1.29099 - 1.15471i) q^{24} +(4.45732 - 2.26545i) q^{25} -0.837680i q^{26} +(-4.23383 - 3.01242i) q^{27} +(3.58592 - 2.07033i) q^{28} +(4.06700 + 7.04425i) q^{29} +(-3.29659 + 2.03286i) q^{30} +5.54805i q^{31} +(0.866025 - 0.500000i) q^{32} +(0.357506 + 0.319768i) q^{33} +(4.90052 - 2.82932i) q^{34} +(-2.15688 - 9.00406i) q^{35} +(2.41535 - 1.77935i) q^{36} +1.84341 q^{37} +(-0.157053 + 4.35607i) q^{38} +(1.42019 + 0.296971i) q^{39} +(-0.520902 - 2.17455i) q^{40} +(2.91976 - 5.05717i) q^{41} +(2.23873 + 6.81346i) q^{42} +(9.67160 + 5.58390i) q^{43} +(-0.239824 + 0.138462i) q^{44} +(-2.27778 - 6.30965i) q^{45} -0.203518i q^{46} +(-5.89995 - 10.2190i) q^{47} +(0.540671 + 1.64550i) q^{48} -10.1451 q^{49} +(-4.99288 - 0.266723i) q^{50} +(3.05946 + 9.31129i) q^{51} +(-0.418840 + 0.725452i) q^{52} +(-8.06300 + 4.65518i) q^{53} +(2.16039 + 4.72575i) q^{54} +(0.144251 + 0.602187i) q^{55} -4.14066 q^{56} +(-7.32952 - 1.81056i) q^{57} -8.13400i q^{58} +(-1.94977 + 3.37710i) q^{59} +(3.87136 - 0.112214i) q^{60} +(-2.56141 - 4.43650i) q^{61} +(2.77402 - 4.80475i) q^{62} +(-12.3451 + 1.38003i) q^{63} -1.00000 q^{64} +(1.28868 + 1.35936i) q^{65} +(-0.149725 - 0.455680i) q^{66} +(-5.36719 - 9.29624i) q^{67} -5.65864 q^{68} +(0.345041 + 0.0721505i) q^{69} +(-2.63412 + 8.87619i) q^{70} +(5.59684 - 9.69401i) q^{71} +(-2.98143 + 0.333286i) q^{72} +(5.57300 + 3.21757i) q^{73} +(-1.59644 - 0.921703i) q^{74} +(2.22225 - 8.37028i) q^{75} +(2.31405 - 3.69394i) q^{76} +1.14665 q^{77} +(-1.08143 - 0.967278i) q^{78} +(14.0332 + 8.10205i) q^{79} +(-0.636160 + 2.14367i) q^{80} +(-8.77784 + 1.98734i) q^{81} +(-5.05717 + 2.91976i) q^{82} +1.50224 q^{83} +(1.46793 - 7.02000i) q^{84} +(-3.59980 + 12.1302i) q^{85} +(-5.58390 - 9.67160i) q^{86} +(13.7902 + 2.88364i) q^{87} +0.276925 q^{88} +(3.27700 + 5.67592i) q^{89} +(-1.18221 + 6.60321i) q^{90} +(3.00385 - 1.73427i) q^{91} +(-0.101759 + 0.176252i) q^{92} +(7.16245 + 6.40639i) q^{93} +11.7999i q^{94} +(-6.44646 - 7.31048i) q^{95} +(0.354516 - 1.69538i) q^{96} +(3.24889 - 5.62724i) q^{97} +(8.78588 + 5.07253i) q^{98} +(0.825632 - 0.0922953i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.15471 1.29099i 0.666673 0.745351i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 2.17455 0.520902i 0.972488 0.232954i
\(6\) −1.64550 + 0.540671i −0.671773 + 0.220728i
\(7\) 4.14066i 1.56502i −0.622637 0.782511i \(-0.713939\pi\)
0.622637 0.782511i \(-0.286061\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.333286 2.98143i −0.111095 0.993810i
\(10\) −2.14367 0.636160i −0.677886 0.201172i
\(11\) 0.276925i 0.0834960i 0.999128 + 0.0417480i \(0.0132927\pi\)
−0.999128 + 0.0417480i \(0.986707\pi\)
\(12\) 1.69538 + 0.354516i 0.489414 + 0.102340i
\(13\) 0.418840 + 0.725452i 0.116165 + 0.201204i 0.918245 0.396013i \(-0.129606\pi\)
−0.802080 + 0.597217i \(0.796273\pi\)
\(14\) −2.07033 + 3.58592i −0.553319 + 0.958376i
\(15\) 1.83850 3.40880i 0.474698 0.880149i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.82932 + 4.90052i −0.686210 + 1.18855i 0.286844 + 0.957977i \(0.407394\pi\)
−0.973055 + 0.230574i \(0.925940\pi\)
\(18\) −1.20208 + 2.74864i −0.283333 + 0.647860i
\(19\) −2.04202 3.85099i −0.468472 0.883478i
\(20\) 1.53839 + 1.62276i 0.343994 + 0.362861i
\(21\) −5.34553 4.78126i −1.16649 1.04336i
\(22\) 0.138462 0.239824i 0.0295203 0.0511307i
\(23\) 0.101759 + 0.176252i 0.0212182 + 0.0367511i 0.876440 0.481512i \(-0.159912\pi\)
−0.855221 + 0.518263i \(0.826579\pi\)
\(24\) −1.29099 1.15471i −0.263521 0.235704i
\(25\) 4.45732 2.26545i 0.891465 0.453090i
\(26\) 0.837680i 0.164283i
\(27\) −4.23383 3.01242i −0.814801 0.579741i
\(28\) 3.58592 2.07033i 0.677674 0.391256i
\(29\) 4.06700 + 7.04425i 0.755223 + 1.30808i 0.945263 + 0.326309i \(0.105805\pi\)
−0.190040 + 0.981776i \(0.560862\pi\)
\(30\) −3.29659 + 2.03286i −0.601872 + 0.371148i
\(31\) 5.54805i 0.996459i 0.867045 + 0.498229i \(0.166016\pi\)
−0.867045 + 0.498229i \(0.833984\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 0.357506 + 0.319768i 0.0622338 + 0.0556645i
\(34\) 4.90052 2.82932i 0.840433 0.485224i
\(35\) −2.15688 9.00406i −0.364579 1.52196i
\(36\) 2.41535 1.77935i 0.402558 0.296558i
\(37\) 1.84341 0.303054 0.151527 0.988453i \(-0.451581\pi\)
0.151527 + 0.988453i \(0.451581\pi\)
\(38\) −0.157053 + 4.35607i −0.0254774 + 0.706648i
\(39\) 1.42019 + 0.296971i 0.227412 + 0.0475534i
\(40\) −0.520902 2.17455i −0.0823618 0.343826i
\(41\) 2.91976 5.05717i 0.455990 0.789798i −0.542755 0.839891i \(-0.682619\pi\)
0.998745 + 0.0500936i \(0.0159520\pi\)
\(42\) 2.23873 + 6.81346i 0.345444 + 1.05134i
\(43\) 9.67160 + 5.58390i 1.47491 + 0.851537i 0.999600 0.0282839i \(-0.00900424\pi\)
0.475305 + 0.879821i \(0.342338\pi\)
\(44\) −0.239824 + 0.138462i −0.0361548 + 0.0208740i
\(45\) −2.27778 6.30965i −0.339551 0.940588i
\(46\) 0.203518i 0.0300071i
\(47\) −5.89995 10.2190i −0.860596 1.49060i −0.871355 0.490654i \(-0.836758\pi\)
0.0107588 0.999942i \(-0.496575\pi\)
\(48\) 0.540671 + 1.64550i 0.0780391 + 0.237508i
\(49\) −10.1451 −1.44929
\(50\) −4.99288 0.266723i −0.706100 0.0377203i
\(51\) 3.05946 + 9.31129i 0.428410 + 1.30384i
\(52\) −0.418840 + 0.725452i −0.0580827 + 0.100602i
\(53\) −8.06300 + 4.65518i −1.10754 + 0.639438i −0.938191 0.346119i \(-0.887499\pi\)
−0.169348 + 0.985556i \(0.554166\pi\)
\(54\) 2.16039 + 4.72575i 0.293992 + 0.643093i
\(55\) 0.144251 + 0.602187i 0.0194508 + 0.0811989i
\(56\) −4.14066 −0.553319
\(57\) −7.32952 1.81056i −0.970819 0.239815i
\(58\) 8.13400i 1.06805i
\(59\) −1.94977 + 3.37710i −0.253838 + 0.439661i −0.964579 0.263793i \(-0.915026\pi\)
0.710741 + 0.703454i \(0.248360\pi\)
\(60\) 3.87136 0.112214i 0.499790 0.0144868i
\(61\) −2.56141 4.43650i −0.327956 0.568036i 0.654151 0.756364i \(-0.273026\pi\)
−0.982106 + 0.188329i \(0.939693\pi\)
\(62\) 2.77402 4.80475i 0.352301 0.610204i
\(63\) −12.3451 + 1.38003i −1.55533 + 0.173867i
\(64\) −1.00000 −0.125000
\(65\) 1.28868 + 1.35936i 0.159841 + 0.168607i
\(66\) −0.149725 0.455680i −0.0184299 0.0560904i
\(67\) −5.36719 9.29624i −0.655706 1.13572i −0.981716 0.190350i \(-0.939038\pi\)
0.326010 0.945366i \(-0.394296\pi\)
\(68\) −5.65864 −0.686210
\(69\) 0.345041 + 0.0721505i 0.0415380 + 0.00868589i
\(70\) −2.63412 + 8.87619i −0.314838 + 1.06091i
\(71\) 5.59684 9.69401i 0.664223 1.15047i −0.315273 0.949001i \(-0.602096\pi\)
0.979495 0.201466i \(-0.0645706\pi\)
\(72\) −2.98143 + 0.333286i −0.351365 + 0.0392782i
\(73\) 5.57300 + 3.21757i 0.652270 + 0.376588i 0.789325 0.613975i \(-0.210431\pi\)
−0.137055 + 0.990563i \(0.543764\pi\)
\(74\) −1.59644 0.921703i −0.185582 0.107146i
\(75\) 2.22225 8.37028i 0.256604 0.966517i
\(76\) 2.31405 3.69394i 0.265439 0.423724i
\(77\) 1.14665 0.130673
\(78\) −1.08143 0.967278i −0.122448 0.109523i
\(79\) 14.0332 + 8.10205i 1.57885 + 0.911552i 0.995020 + 0.0996789i \(0.0317816\pi\)
0.583834 + 0.811873i \(0.301552\pi\)
\(80\) −0.636160 + 2.14367i −0.0711249 + 0.239669i
\(81\) −8.77784 + 1.98734i −0.975316 + 0.220815i
\(82\) −5.05717 + 2.91976i −0.558471 + 0.322434i
\(83\) 1.50224 0.164892 0.0824461 0.996596i \(-0.473727\pi\)
0.0824461 + 0.996596i \(0.473727\pi\)
\(84\) 1.46793 7.02000i 0.160164 0.765944i
\(85\) −3.59980 + 12.1302i −0.390453 + 1.31571i
\(86\) −5.58390 9.67160i −0.602128 1.04292i
\(87\) 13.7902 + 2.88364i 1.47847 + 0.309158i
\(88\) 0.276925 0.0295203
\(89\) 3.27700 + 5.67592i 0.347361 + 0.601647i 0.985780 0.168042i \(-0.0537446\pi\)
−0.638419 + 0.769689i \(0.720411\pi\)
\(90\) −1.18221 + 6.60321i −0.124616 + 0.696039i
\(91\) 3.00385 1.73427i 0.314889 0.181801i
\(92\) −0.101759 + 0.176252i −0.0106091 + 0.0183755i
\(93\) 7.16245 + 6.40639i 0.742711 + 0.664312i
\(94\) 11.7999i 1.21707i
\(95\) −6.44646 7.31048i −0.661393 0.750039i
\(96\) 0.354516 1.69538i 0.0361827 0.173034i
\(97\) 3.24889 5.62724i 0.329874 0.571359i −0.652612 0.757692i \(-0.726327\pi\)
0.982487 + 0.186333i \(0.0596603\pi\)
\(98\) 8.78588 + 5.07253i 0.887508 + 0.512403i
\(99\) 0.825632 0.0922953i 0.0829792 0.00927603i
\(100\) 4.19060 + 2.72743i 0.419060 + 0.272743i
\(101\) −3.02926 + 1.74894i −0.301422 + 0.174026i −0.643082 0.765798i \(-0.722344\pi\)
0.341659 + 0.939824i \(0.389011\pi\)
\(102\) 2.00608 9.59355i 0.198631 0.949903i
\(103\) −6.70352 −0.660517 −0.330259 0.943890i \(-0.607136\pi\)
−0.330259 + 0.943890i \(0.607136\pi\)
\(104\) 0.725452 0.418840i 0.0711364 0.0410706i
\(105\) −14.1147 7.61259i −1.37745 0.742913i
\(106\) 9.31035 0.904302
\(107\) 5.90110i 0.570481i 0.958456 + 0.285240i \(0.0920734\pi\)
−0.958456 + 0.285240i \(0.907927\pi\)
\(108\) 0.491917 5.17282i 0.0473348 0.497754i
\(109\) 9.70976 + 5.60593i 0.930026 + 0.536951i 0.886820 0.462115i \(-0.152909\pi\)
0.0432062 + 0.999066i \(0.486243\pi\)
\(110\) 0.176169 0.593634i 0.0167970 0.0566008i
\(111\) 2.12860 2.37981i 0.202038 0.225881i
\(112\) 3.58592 + 2.07033i 0.338837 + 0.195628i
\(113\) 2.63010i 0.247419i 0.992318 + 0.123710i \(0.0394791\pi\)
−0.992318 + 0.123710i \(0.960521\pi\)
\(114\) 5.44227 + 5.23275i 0.509715 + 0.490092i
\(115\) 0.313090 + 0.330262i 0.0291958 + 0.0307971i
\(116\) −4.06700 + 7.04425i −0.377612 + 0.654042i
\(117\) 2.02329 1.49053i 0.187053 0.137799i
\(118\) 3.37710 1.94977i 0.310887 0.179491i
\(119\) 20.2914 + 11.7152i 1.86011 + 1.07393i
\(120\) −3.40880 1.83850i −0.311180 0.167831i
\(121\) 10.9233 0.993028
\(122\) 5.12283i 0.463799i
\(123\) −3.15726 9.60894i −0.284680 0.866409i
\(124\) −4.80475 + 2.77402i −0.431479 + 0.249115i
\(125\) 8.51259 7.24816i 0.761389 0.648295i
\(126\) 11.3812 + 4.97740i 1.01391 + 0.443422i
\(127\) 3.14595 + 5.44894i 0.279158 + 0.483515i 0.971176 0.238365i \(-0.0766115\pi\)
−0.692018 + 0.721880i \(0.743278\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 18.3766 6.03810i 1.61797 0.531625i
\(130\) −0.436349 1.82158i −0.0382703 0.159763i
\(131\) −0.437520 0.252602i −0.0382263 0.0220700i 0.480765 0.876849i \(-0.340359\pi\)
−0.518991 + 0.854779i \(0.673692\pi\)
\(132\) −0.0981744 + 0.469493i −0.00854498 + 0.0408642i
\(133\) −15.9456 + 8.45532i −1.38266 + 0.733169i
\(134\) 10.7344i 0.927309i
\(135\) −10.7758 4.34525i −0.927437 0.373979i
\(136\) 4.90052 + 2.82932i 0.420216 + 0.242612i
\(137\) 0.0331892 + 0.0574854i 0.00283555 + 0.00491131i 0.867440 0.497542i \(-0.165764\pi\)
−0.864604 + 0.502454i \(0.832431\pi\)
\(138\) −0.262739 0.235005i −0.0223658 0.0200049i
\(139\) 0.588959 + 1.02011i 0.0499548 + 0.0865243i 0.889922 0.456114i \(-0.150759\pi\)
−0.839967 + 0.542638i \(0.817426\pi\)
\(140\) 6.71931 6.36994i 0.567885 0.538358i
\(141\) −20.0053 4.18325i −1.68475 0.352293i
\(142\) −9.69401 + 5.59684i −0.813503 + 0.469676i
\(143\) −0.200896 + 0.115987i −0.0167998 + 0.00969934i
\(144\) 2.74864 + 1.20208i 0.229053 + 0.100173i
\(145\) 12.5133 + 13.1996i 1.03917 + 1.09616i
\(146\) −3.21757 5.57300i −0.266288 0.461224i
\(147\) −11.7146 + 13.0971i −0.966205 + 1.08023i
\(148\) 0.921703 + 1.59644i 0.0757635 + 0.131226i
\(149\) −5.80877 3.35370i −0.475873 0.274745i 0.242822 0.970071i \(-0.421927\pi\)
−0.718695 + 0.695325i \(0.755260\pi\)
\(150\) −6.10967 + 6.13775i −0.498852 + 0.501145i
\(151\) 11.6812i 0.950601i 0.879823 + 0.475301i \(0.157661\pi\)
−0.879823 + 0.475301i \(0.842339\pi\)
\(152\) −3.85099 + 2.04202i −0.312357 + 0.165630i
\(153\) 15.5535 + 6.80213i 1.25743 + 0.549920i
\(154\) −0.993030 0.573326i −0.0800206 0.0461999i
\(155\) 2.88999 + 12.0645i 0.232129 + 0.969044i
\(156\) 0.452909 + 1.37840i 0.0362618 + 0.110361i
\(157\) −0.115351 0.0665981i −0.00920603 0.00531511i 0.495390 0.868671i \(-0.335025\pi\)
−0.504596 + 0.863356i \(0.668359\pi\)
\(158\) −8.10205 14.0332i −0.644564 1.11642i
\(159\) −3.30067 + 15.7846i −0.261760 + 1.25180i
\(160\) 1.62276 1.53839i 0.128291 0.121620i
\(161\) 0.729799 0.421350i 0.0575162 0.0332070i
\(162\) 8.59550 + 2.66783i 0.675326 + 0.209605i
\(163\) 4.40488i 0.345017i −0.985008 0.172508i \(-0.944813\pi\)
0.985008 0.172508i \(-0.0551872\pi\)
\(164\) 5.83952 0.455990
\(165\) 0.943982 + 0.509126i 0.0734889 + 0.0396354i
\(166\) −1.30098 0.751119i −0.100975 0.0582982i
\(167\) 6.03723 3.48560i 0.467175 0.269724i −0.247881 0.968790i \(-0.579734\pi\)
0.715056 + 0.699067i \(0.246401\pi\)
\(168\) −4.78126 + 5.34553i −0.368882 + 0.412417i
\(169\) 6.14915 10.6506i 0.473011 0.819279i
\(170\) 9.18263 8.70518i 0.704275 0.667657i
\(171\) −10.8009 + 7.37163i −0.825964 + 0.563723i
\(172\) 11.1678i 0.851537i
\(173\) 20.7581 + 11.9847i 1.57821 + 0.911181i 0.995109 + 0.0987817i \(0.0314946\pi\)
0.583102 + 0.812399i \(0.301839\pi\)
\(174\) −10.5009 9.39242i −0.796070 0.712038i
\(175\) −9.38046 18.4563i −0.709096 1.39516i
\(176\) −0.239824 0.138462i −0.0180774 0.0104370i
\(177\) 2.10837 + 6.41670i 0.158475 + 0.482309i
\(178\) 6.55399i 0.491242i
\(179\) 13.0272 0.973695 0.486848 0.873487i \(-0.338147\pi\)
0.486848 + 0.873487i \(0.338147\pi\)
\(180\) 4.32543 5.12744i 0.322399 0.382177i
\(181\) −13.0547 + 7.53713i −0.970347 + 0.560230i −0.899342 0.437246i \(-0.855954\pi\)
−0.0710052 + 0.997476i \(0.522621\pi\)
\(182\) −3.46855 −0.257106
\(183\) −8.68515 1.81613i −0.642025 0.134252i
\(184\) 0.176252 0.101759i 0.0129935 0.00750178i
\(185\) 4.00857 0.960233i 0.294716 0.0705977i
\(186\) −2.99967 9.12932i −0.219946 0.669394i
\(187\) −1.35708 0.783509i −0.0992393 0.0572958i
\(188\) 5.89995 10.2190i 0.430298 0.745298i
\(189\) −12.4734 + 17.5309i −0.907307 + 1.27518i
\(190\) 1.92756 + 9.55429i 0.139840 + 0.693141i
\(191\) 8.16641i 0.590901i 0.955358 + 0.295450i \(0.0954697\pi\)
−0.955358 + 0.295450i \(0.904530\pi\)
\(192\) −1.15471 + 1.29099i −0.0833341 + 0.0931688i
\(193\) −11.0461 + 19.1325i −0.795118 + 1.37718i 0.127646 + 0.991820i \(0.459258\pi\)
−0.922764 + 0.385365i \(0.874076\pi\)
\(194\) −5.62724 + 3.24889i −0.404012 + 0.233256i
\(195\) 3.24296 0.0939998i 0.232233 0.00673146i
\(196\) −5.07253 8.78588i −0.362324 0.627563i
\(197\) −26.9122 −1.91742 −0.958708 0.284391i \(-0.908209\pi\)
−0.958708 + 0.284391i \(0.908209\pi\)
\(198\) −0.761166 0.332886i −0.0540937 0.0236572i
\(199\) −1.85693 3.21630i −0.131635 0.227998i 0.792672 0.609648i \(-0.208689\pi\)
−0.924307 + 0.381650i \(0.875356\pi\)
\(200\) −2.26545 4.45732i −0.160192 0.315180i
\(201\) −18.1989 3.80551i −1.28365 0.268420i
\(202\) 3.49788 0.246110
\(203\) 29.1679 16.8401i 2.04718 1.18194i
\(204\) −6.53409 + 7.30522i −0.457478 + 0.511467i
\(205\) 3.71487 12.5180i 0.259458 0.874293i
\(206\) 5.80542 + 3.35176i 0.404483 + 0.233528i
\(207\) 0.491568 0.362130i 0.0341663 0.0251698i
\(208\) −0.837680 −0.0580827
\(209\) 1.06644 0.565487i 0.0737669 0.0391156i
\(210\) 8.41738 + 13.6500i 0.580854 + 0.941942i
\(211\) 1.72302 + 0.994784i 0.118617 + 0.0684837i 0.558135 0.829750i \(-0.311517\pi\)
−0.439517 + 0.898234i \(0.644851\pi\)
\(212\) −8.06300 4.65518i −0.553769 0.319719i
\(213\) −6.05209 18.4192i −0.414683 1.26206i
\(214\) 2.95055 5.11050i 0.201695 0.349347i
\(215\) 23.9400 + 7.10451i 1.63270 + 0.484524i
\(216\) −3.01242 + 4.23383i −0.204969 + 0.288076i
\(217\) 22.9726 1.55948
\(218\) −5.60593 9.70976i −0.379682 0.657628i
\(219\) 10.5890 3.47929i 0.715541 0.235109i
\(220\) −0.449384 + 0.426018i −0.0302974 + 0.0287221i
\(221\) −4.74013 −0.318855
\(222\) −3.03333 + 0.996675i −0.203584 + 0.0668925i
\(223\) 11.2416 19.4711i 0.752794 1.30388i −0.193669 0.981067i \(-0.562039\pi\)
0.946463 0.322811i \(-0.104628\pi\)
\(224\) −2.07033 3.58592i −0.138330 0.239594i
\(225\) −8.23985 12.5341i −0.549323 0.835610i
\(226\) 1.31505 2.27774i 0.0874759 0.151513i
\(227\) 28.1102i 1.86574i 0.360216 + 0.932869i \(0.382703\pi\)
−0.360216 + 0.932869i \(0.617297\pi\)
\(228\) −2.09677 7.25283i −0.138862 0.480331i
\(229\) −22.6293 −1.49538 −0.747692 0.664046i \(-0.768838\pi\)
−0.747692 + 0.664046i \(0.768838\pi\)
\(230\) −0.106013 0.442560i −0.00699028 0.0291815i
\(231\) 1.32405 1.48031i 0.0871162 0.0973973i
\(232\) 7.04425 4.06700i 0.462478 0.267012i
\(233\) −9.37752 + 16.2423i −0.614342 + 1.06407i 0.376158 + 0.926556i \(0.377245\pi\)
−0.990500 + 0.137515i \(0.956088\pi\)
\(234\) −2.49748 + 0.279187i −0.163266 + 0.0182510i
\(235\) −18.1528 19.1484i −1.18416 1.24911i
\(236\) −3.89954 −0.253838
\(237\) 26.6639 8.76108i 1.73200 0.569093i
\(238\) −11.7152 20.2914i −0.759386 1.31530i
\(239\) 9.41201i 0.608812i −0.952542 0.304406i \(-0.901542\pi\)
0.952542 0.304406i \(-0.0984580\pi\)
\(240\) 2.03286 + 3.29659i 0.131220 + 0.212794i
\(241\) 6.84761 3.95347i 0.441093 0.254665i −0.262968 0.964805i \(-0.584701\pi\)
0.704061 + 0.710139i \(0.251368\pi\)
\(242\) −9.45987 5.46166i −0.608103 0.351089i
\(243\) −7.57024 + 13.6269i −0.485631 + 0.874164i
\(244\) 2.56141 4.43650i 0.163978 0.284018i
\(245\) −22.0609 + 5.28458i −1.40942 + 0.337619i
\(246\) −2.07020 + 9.90022i −0.131991 + 0.631215i
\(247\) 1.93843 3.09434i 0.123339 0.196888i
\(248\) 5.54805 0.352301
\(249\) 1.73465 1.93937i 0.109929 0.122902i
\(250\) −10.9962 + 2.02080i −0.695461 + 0.127806i
\(251\) −11.6568 + 6.73004i −0.735769 + 0.424796i −0.820529 0.571605i \(-0.806321\pi\)
0.0847602 + 0.996401i \(0.472988\pi\)
\(252\) −7.36768 10.0011i −0.464120 0.630013i
\(253\) −0.0488085 + 0.0281796i −0.00306857 + 0.00177164i
\(254\) 6.29189i 0.394788i
\(255\) 11.5032 + 18.6542i 0.720359 + 1.16817i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −12.2806 + 7.09019i −0.766040 + 0.442274i −0.831460 0.555584i \(-0.812495\pi\)
0.0654199 + 0.997858i \(0.479161\pi\)
\(258\) −18.9337 3.95917i −1.17876 0.246487i
\(259\) 7.63291i 0.474286i
\(260\) −0.532899 + 1.79571i −0.0330490 + 0.111365i
\(261\) 19.6465 14.4732i 1.21609 0.895871i
\(262\) 0.252602 + 0.437520i 0.0156058 + 0.0270301i
\(263\) 0.000326808 0 0.000566048i 2.01518e−5 0 3.49040e-5i −0.866015 0.500017i \(-0.833327\pi\)
0.866035 + 0.499983i \(0.166660\pi\)
\(264\) 0.319768 0.357506i 0.0196804 0.0220030i
\(265\) −15.1085 + 14.3229i −0.928108 + 0.879851i
\(266\) 18.0370 + 0.650304i 1.10592 + 0.0398727i
\(267\) 11.1115 + 2.32350i 0.680014 + 0.142196i
\(268\) 5.36719 9.29624i 0.327853 0.567858i
\(269\) −2.56468 + 4.44215i −0.156371 + 0.270843i −0.933557 0.358428i \(-0.883313\pi\)
0.777186 + 0.629270i \(0.216646\pi\)
\(270\) 7.15953 + 9.15102i 0.435715 + 0.556913i
\(271\) 1.83855 3.18447i 0.111684 0.193443i −0.804765 0.593593i \(-0.797709\pi\)
0.916449 + 0.400151i \(0.131042\pi\)
\(272\) −2.82932 4.90052i −0.171553 0.297138i
\(273\) 1.22966 5.88051i 0.0744222 0.355905i
\(274\) 0.0663784i 0.00401007i
\(275\) 0.627360 + 1.23434i 0.0378312 + 0.0744337i
\(276\) 0.110036 + 0.334889i 0.00662341 + 0.0201580i
\(277\) 25.8215i 1.55146i −0.631064 0.775731i \(-0.717381\pi\)
0.631064 0.775731i \(-0.282619\pi\)
\(278\) 1.17792i 0.0706468i
\(279\) 16.5411 1.84909i 0.990290 0.110702i
\(280\) −9.00406 + 2.15688i −0.538096 + 0.128898i
\(281\) 4.30234 + 7.45188i 0.256656 + 0.444542i 0.965344 0.260980i \(-0.0840458\pi\)
−0.708688 + 0.705522i \(0.750712\pi\)
\(282\) 15.2335 + 13.6255i 0.907141 + 0.811385i
\(283\) 12.9655 + 7.48566i 0.770722 + 0.444976i 0.833132 0.553074i \(-0.186545\pi\)
−0.0624104 + 0.998051i \(0.519879\pi\)
\(284\) 11.1937 0.664223
\(285\) −16.8815 0.119195i −0.999975 0.00706053i
\(286\) 0.231975 0.0137169
\(287\) −20.9400 12.0897i −1.23605 0.713634i
\(288\) −1.77935 2.41535i −0.104849 0.142326i
\(289\) −7.51008 13.0078i −0.441769 0.765167i
\(290\) −4.23702 17.6878i −0.248806 1.03866i
\(291\) −3.51316 10.6921i −0.205945 0.626782i
\(292\) 6.43514i 0.376588i
\(293\) 9.99594i 0.583969i −0.956423 0.291984i \(-0.905684\pi\)
0.956423 0.291984i \(-0.0943155\pi\)
\(294\) 16.6937 5.48514i 0.973597 0.319900i
\(295\) −2.48073 + 8.35931i −0.144434 + 0.486698i
\(296\) 1.84341i 0.107146i
\(297\) 0.834214 1.17245i 0.0484060 0.0680327i
\(298\) 3.35370 + 5.80877i 0.194274 + 0.336493i
\(299\) −0.0852415 + 0.147643i −0.00492965 + 0.00853840i
\(300\) 8.36000 2.26061i 0.482665 0.130516i
\(301\) 23.1210 40.0468i 1.33267 2.30826i
\(302\) 5.84059 10.1162i 0.336088 0.582122i
\(303\) −1.24006 + 5.93025i −0.0712394 + 0.340684i
\(304\) 4.35607 + 0.157053i 0.249838 + 0.00900762i
\(305\) −7.88090 8.31314i −0.451259 0.476009i
\(306\) −10.0687 13.6676i −0.575589 0.781324i
\(307\) −14.4133 + 24.9645i −0.822608 + 1.42480i 0.0811250 + 0.996704i \(0.474149\pi\)
−0.903733 + 0.428096i \(0.859185\pi\)
\(308\) 0.573326 + 0.993030i 0.0326683 + 0.0565831i
\(309\) −7.74063 + 8.65415i −0.440349 + 0.492317i
\(310\) 3.52945 11.8932i 0.200459 0.675486i
\(311\) 19.0823i 1.08206i −0.841003 0.541030i \(-0.818034\pi\)
0.841003 0.541030i \(-0.181966\pi\)
\(312\) 0.296971 1.42019i 0.0168127 0.0804023i
\(313\) −12.6849 + 7.32365i −0.716995 + 0.413957i −0.813646 0.581361i \(-0.802520\pi\)
0.0966505 + 0.995318i \(0.469187\pi\)
\(314\) 0.0665981 + 0.115351i 0.00375835 + 0.00650965i
\(315\) −26.1261 + 9.43151i −1.47204 + 0.531405i
\(316\) 16.2041i 0.911552i
\(317\) −2.79008 + 1.61085i −0.156706 + 0.0904744i −0.576303 0.817236i \(-0.695505\pi\)
0.419596 + 0.907711i \(0.362172\pi\)
\(318\) 10.7508 12.0195i 0.602873 0.674022i
\(319\) −1.95073 + 1.12625i −0.109220 + 0.0630581i
\(320\) −2.17455 + 0.520902i −0.121561 + 0.0291193i
\(321\) 7.61823 + 6.81406i 0.425208 + 0.380324i
\(322\) −0.842699 −0.0469618
\(323\) 24.6494 + 0.888707i 1.37153 + 0.0494490i
\(324\) −6.11001 6.60816i −0.339445 0.367120i
\(325\) 3.51038 + 2.28471i 0.194721 + 0.126733i
\(326\) −2.20244 + 3.81474i −0.121982 + 0.211279i
\(327\) 18.4491 6.06193i 1.02024 0.335225i
\(328\) −5.05717 2.91976i −0.279236 0.161217i
\(329\) −42.3134 + 24.4297i −2.33282 + 1.34685i
\(330\) −0.562950 0.912907i −0.0309894 0.0502539i
\(331\) 12.4330i 0.683377i −0.939813 0.341689i \(-0.889001\pi\)
0.939813 0.341689i \(-0.110999\pi\)
\(332\) 0.751119 + 1.30098i 0.0412230 + 0.0714004i
\(333\) −0.614382 5.49598i −0.0336679 0.301178i
\(334\) −6.97119 −0.381447
\(335\) −16.5136 17.4194i −0.902236 0.951721i
\(336\) 6.81346 2.23873i 0.371705 0.122133i
\(337\) −0.671895 + 1.16376i −0.0366005 + 0.0633939i −0.883745 0.467968i \(-0.844986\pi\)
0.847145 + 0.531362i \(0.178320\pi\)
\(338\) −10.6506 + 6.14915i −0.579318 + 0.334469i
\(339\) 3.39543 + 3.03701i 0.184414 + 0.164948i
\(340\) −12.3050 + 2.94759i −0.667331 + 0.159856i
\(341\) −1.53639 −0.0832003
\(342\) 13.0397 0.983575i 0.705104 0.0531857i
\(343\) 13.0226i 0.703155i
\(344\) 5.58390 9.67160i 0.301064 0.521458i
\(345\) 0.787891 0.0228377i 0.0424186 0.00122954i
\(346\) −11.9847 20.7581i −0.644302 1.11596i
\(347\) 11.9747 20.7407i 0.642834 1.11342i −0.341963 0.939713i \(-0.611092\pi\)
0.984797 0.173708i \(-0.0555748\pi\)
\(348\) 4.39782 + 13.3845i 0.235748 + 0.717485i
\(349\) −29.4972 −1.57895 −0.789474 0.613784i \(-0.789646\pi\)
−0.789474 + 0.613784i \(0.789646\pi\)
\(350\) −1.10441 + 20.6738i −0.0590331 + 1.10506i
\(351\) 0.412069 4.33316i 0.0219946 0.231287i
\(352\) 0.138462 + 0.239824i 0.00738008 + 0.0127827i
\(353\) −29.0595 −1.54668 −0.773339 0.633992i \(-0.781415\pi\)
−0.773339 + 0.633992i \(0.781415\pi\)
\(354\) 1.38245 6.61121i 0.0734764 0.351382i
\(355\) 7.12097 23.9955i 0.377942 1.27355i
\(356\) −3.27700 + 5.67592i −0.173680 + 0.300823i
\(357\) 38.5549 12.6682i 2.04054 0.670471i
\(358\) −11.2818 6.51358i −0.596264 0.344253i
\(359\) −29.7773 17.1919i −1.57159 0.907356i −0.995975 0.0896318i \(-0.971431\pi\)
−0.575611 0.817724i \(-0.695236\pi\)
\(360\) −6.30965 + 2.27778i −0.332548 + 0.120049i
\(361\) −10.6603 + 15.7276i −0.561068 + 0.827770i
\(362\) 15.0743 0.792285
\(363\) 12.6133 14.1018i 0.662025 0.740154i
\(364\) 3.00385 + 1.73427i 0.157445 + 0.0909007i
\(365\) 13.7948 + 4.09378i 0.722052 + 0.214278i
\(366\) 6.61350 + 5.91539i 0.345693 + 0.309202i
\(367\) −9.51432 + 5.49310i −0.496644 + 0.286737i −0.727326 0.686292i \(-0.759237\pi\)
0.230683 + 0.973029i \(0.425904\pi\)
\(368\) −0.203518 −0.0106091
\(369\) −16.0507 7.01957i −0.835567 0.365424i
\(370\) −3.95164 1.17270i −0.205436 0.0609658i
\(371\) 19.2755 + 33.3861i 1.00073 + 1.73332i
\(372\) −1.96687 + 9.40606i −0.101978 + 0.487681i
\(373\) 2.18309 0.113036 0.0565180 0.998402i \(-0.482000\pi\)
0.0565180 + 0.998402i \(0.482000\pi\)
\(374\) 0.783509 + 1.35708i 0.0405143 + 0.0701728i
\(375\) 0.472306 19.3592i 0.0243898 0.999703i
\(376\) −10.2190 + 5.89995i −0.527005 + 0.304267i
\(377\) −3.40685 + 5.90083i −0.175462 + 0.303908i
\(378\) 19.5677 8.94546i 1.00645 0.460105i
\(379\) 9.44771i 0.485296i 0.970114 + 0.242648i \(0.0780160\pi\)
−0.970114 + 0.242648i \(0.921984\pi\)
\(380\) 3.10783 9.23804i 0.159428 0.473902i
\(381\) 10.6672 + 2.23058i 0.546495 + 0.114276i
\(382\) 4.08321 7.07232i 0.208915 0.361851i
\(383\) −22.9528 13.2518i −1.17283 0.677136i −0.218488 0.975840i \(-0.570113\pi\)
−0.954346 + 0.298703i \(0.903446\pi\)
\(384\) 1.64550 0.540671i 0.0839716 0.0275910i
\(385\) 2.49345 0.597293i 0.127078 0.0304409i
\(386\) 19.1325 11.0461i 0.973817 0.562233i
\(387\) 13.4246 30.6962i 0.682410 1.56038i
\(388\) 6.49777 0.329874
\(389\) 30.4555 17.5835i 1.54415 0.891518i 0.545585 0.838056i \(-0.316308\pi\)
0.998570 0.0534626i \(-0.0170258\pi\)
\(390\) −2.85548 1.54007i −0.144593 0.0779846i
\(391\) −1.15163 −0.0582407
\(392\) 10.1451i 0.512403i
\(393\) −0.831315 + 0.273149i −0.0419343 + 0.0137786i
\(394\) 23.3067 + 13.4561i 1.17417 + 0.677909i
\(395\) 34.7362 + 10.3084i 1.74777 + 0.518672i
\(396\) 0.492746 + 0.668871i 0.0247614 + 0.0336120i
\(397\) 12.7678 + 7.37147i 0.640796 + 0.369963i 0.784921 0.619596i \(-0.212704\pi\)
−0.144125 + 0.989559i \(0.546037\pi\)
\(398\) 3.71387i 0.186159i
\(399\) −7.49692 + 30.3490i −0.375315 + 1.51935i
\(400\) −0.266723 + 4.99288i −0.0133361 + 0.249644i
\(401\) −10.0032 + 17.3261i −0.499537 + 0.865224i −1.00000 0.000534108i \(-0.999830\pi\)
0.500462 + 0.865758i \(0.333163\pi\)
\(402\) 13.8579 + 12.3951i 0.691170 + 0.618211i
\(403\) −4.02484 + 2.32374i −0.200492 + 0.115754i
\(404\) −3.02926 1.74894i −0.150711 0.0870131i
\(405\) −18.0526 + 8.89396i −0.897042 + 0.441944i
\(406\) −33.6801 −1.67152
\(407\) 0.510485i 0.0253038i
\(408\) 9.31129 3.05946i 0.460978 0.151466i
\(409\) 6.13313 3.54097i 0.303264 0.175089i −0.340644 0.940192i \(-0.610645\pi\)
0.643908 + 0.765103i \(0.277312\pi\)
\(410\) −9.47616 + 8.98345i −0.467994 + 0.443661i
\(411\) 0.112537 + 0.0235322i 0.00555103 + 0.00116076i
\(412\) −3.35176 5.80542i −0.165129 0.286012i
\(413\) 13.9834 + 8.07333i 0.688079 + 0.397263i
\(414\) −0.606775 + 0.0678298i −0.0298214 + 0.00333365i
\(415\) 3.26669 0.782519i 0.160356 0.0384123i
\(416\) 0.725452 + 0.418840i 0.0355682 + 0.0205353i
\(417\) 1.99702 + 0.417591i 0.0977945 + 0.0204495i
\(418\) −1.20630 0.0434920i −0.0590023 0.00212726i
\(419\) 15.8313i 0.773409i 0.922204 + 0.386705i \(0.126387\pi\)
−0.922204 + 0.386705i \(0.873613\pi\)
\(420\) −0.464642 16.0300i −0.0226722 0.782183i
\(421\) 9.83472 + 5.67808i 0.479315 + 0.276733i 0.720131 0.693838i \(-0.244082\pi\)
−0.240816 + 0.970571i \(0.577415\pi\)
\(422\) −0.994784 1.72302i −0.0484253 0.0838751i
\(423\) −28.5009 + 20.9961i −1.38576 + 1.02087i
\(424\) 4.65518 + 8.06300i 0.226075 + 0.391574i
\(425\) −1.50929 + 28.2529i −0.0732112 + 1.37047i
\(426\) −3.96834 + 18.9776i −0.192267 + 0.919466i
\(427\) −18.3700 + 10.6059i −0.888988 + 0.513258i
\(428\) −5.11050 + 2.95055i −0.247025 + 0.142620i
\(429\) −0.0822387 + 0.393285i −0.00397052 + 0.0189880i
\(430\) −17.1804 18.1227i −0.828513 0.873954i
\(431\) −6.74460 11.6820i −0.324876 0.562702i 0.656611 0.754229i \(-0.271989\pi\)
−0.981487 + 0.191527i \(0.938656\pi\)
\(432\) 4.72575 2.16039i 0.227368 0.103942i
\(433\) 7.19759 + 12.4666i 0.345894 + 0.599106i 0.985516 0.169584i \(-0.0542423\pi\)
−0.639622 + 0.768690i \(0.720909\pi\)
\(434\) −19.8948 11.4863i −0.954982 0.551359i
\(435\) 31.4896 0.912752i 1.50981 0.0437631i
\(436\) 11.2119i 0.536951i
\(437\) 0.470950 0.751784i 0.0225286 0.0359627i
\(438\) −10.9100 2.28136i −0.521301 0.109008i
\(439\) −19.8233 11.4450i −0.946117 0.546241i −0.0542443 0.998528i \(-0.517275\pi\)
−0.891873 + 0.452287i \(0.850608\pi\)
\(440\) 0.602187 0.144251i 0.0287081 0.00687688i
\(441\) 3.38121 + 30.2468i 0.161010 + 1.44032i
\(442\) 4.10507 + 2.37006i 0.195258 + 0.112732i
\(443\) 2.22771 + 3.85851i 0.105842 + 0.183324i 0.914082 0.405530i \(-0.132913\pi\)
−0.808240 + 0.588853i \(0.799580\pi\)
\(444\) 3.12527 + 0.653517i 0.148319 + 0.0310145i
\(445\) 10.0826 + 10.6356i 0.477960 + 0.504175i
\(446\) −19.4711 + 11.2416i −0.921981 + 0.532306i
\(447\) −11.0370 + 3.62649i −0.522033 + 0.171527i
\(448\) 4.14066i 0.195628i
\(449\) 22.9854 1.08475 0.542375 0.840137i \(-0.317525\pi\)
0.542375 + 0.840137i \(0.317525\pi\)
\(450\) 0.868844 + 14.9748i 0.0409577 + 0.705920i
\(451\) 1.40046 + 0.808555i 0.0659450 + 0.0380733i
\(452\) −2.27774 + 1.31505i −0.107136 + 0.0618548i
\(453\) 15.0802 + 13.4884i 0.708531 + 0.633740i
\(454\) 14.0551 24.3441i 0.659638 1.14253i
\(455\) 5.62863 5.33597i 0.263874 0.250154i
\(456\) −1.81056 + 7.32952i −0.0847873 + 0.343236i
\(457\) 13.1695i 0.616045i 0.951379 + 0.308022i \(0.0996672\pi\)
−0.951379 + 0.308022i \(0.900333\pi\)
\(458\) 19.5975 + 11.3146i 0.915732 + 0.528698i
\(459\) 26.7413 12.2249i 1.24818 0.570609i
\(460\) −0.129470 + 0.436275i −0.00603658 + 0.0203414i
\(461\) −12.4399 7.18219i −0.579385 0.334508i 0.181504 0.983390i \(-0.441903\pi\)
−0.760889 + 0.648882i \(0.775237\pi\)
\(462\) −1.88682 + 0.619961i −0.0877827 + 0.0288432i
\(463\) 29.1669i 1.35550i 0.735292 + 0.677750i \(0.237045\pi\)
−0.735292 + 0.677750i \(0.762955\pi\)
\(464\) −8.13400 −0.377612
\(465\) 18.9122 + 10.2001i 0.877032 + 0.473017i
\(466\) 16.2423 9.37752i 0.752412 0.434405i
\(467\) 29.0053 1.34221 0.671103 0.741364i \(-0.265821\pi\)
0.671103 + 0.741364i \(0.265821\pi\)
\(468\) 2.30248 + 1.00696i 0.106432 + 0.0465467i
\(469\) −38.4926 + 22.2237i −1.77742 + 1.02619i
\(470\) 6.14659 + 25.6594i 0.283521 + 1.18358i
\(471\) −0.219174 + 0.0720153i −0.0100990 + 0.00331829i
\(472\) 3.37710 + 1.94977i 0.155444 + 0.0897454i
\(473\) −1.54632 + 2.67831i −0.0711000 + 0.123149i
\(474\) −27.4721 5.74461i −1.26184 0.263859i
\(475\) −17.8262 12.5390i −0.817922 0.575329i
\(476\) 23.4305i 1.07393i
\(477\) 16.5664 + 22.4878i 0.758522 + 1.02964i
\(478\) −4.70600 + 8.15104i −0.215248 + 0.372820i
\(479\) 22.9576 13.2546i 1.04896 0.605617i 0.126602 0.991954i \(-0.459593\pi\)
0.922358 + 0.386336i \(0.126260\pi\)
\(480\) −0.112214 3.87136i −0.00512186 0.176702i
\(481\) 0.772092 + 1.33730i 0.0352044 + 0.0609757i
\(482\) −7.90693 −0.360151
\(483\) 0.298750 1.42870i 0.0135936 0.0650079i
\(484\) 5.46166 + 9.45987i 0.248257 + 0.429994i
\(485\) 4.13362 13.9290i 0.187698 0.632485i
\(486\) 13.3695 8.01609i 0.606451 0.363617i
\(487\) −11.6600 −0.528366 −0.264183 0.964473i \(-0.585102\pi\)
−0.264183 + 0.964473i \(0.585102\pi\)
\(488\) −4.43650 + 2.56141i −0.200831 + 0.115950i
\(489\) −5.68663 5.08636i −0.257158 0.230013i
\(490\) 21.7476 + 6.45388i 0.982457 + 0.291557i
\(491\) −0.670228 0.386956i −0.0302470 0.0174631i 0.484800 0.874625i \(-0.338892\pi\)
−0.515047 + 0.857162i \(0.672226\pi\)
\(492\) 6.74296 7.53874i 0.303996 0.339872i
\(493\) −46.0274 −2.07297
\(494\) −3.22590 + 1.71056i −0.145140 + 0.0769618i
\(495\) 1.74730 0.630774i 0.0785353 0.0283512i
\(496\) −4.80475 2.77402i −0.215740 0.124557i
\(497\) −40.1396 23.1746i −1.80051 1.03952i
\(498\) −2.47194 + 0.812217i −0.110770 + 0.0363963i
\(499\) 5.69523 9.86443i 0.254953 0.441592i −0.709929 0.704273i \(-0.751273\pi\)
0.964883 + 0.262680i \(0.0846065\pi\)
\(500\) 10.5334 + 3.74804i 0.471067 + 0.167617i
\(501\) 2.47140 11.8188i 0.110414 0.528027i
\(502\) 13.4601 0.600753
\(503\) 15.2932 + 26.4887i 0.681892 + 1.18107i 0.974403 + 0.224809i \(0.0721759\pi\)
−0.292511 + 0.956262i \(0.594491\pi\)
\(504\) 1.38003 + 12.3451i 0.0614712 + 0.549894i
\(505\) −5.67624 + 5.38110i −0.252589 + 0.239456i
\(506\) 0.0563593 0.00250547
\(507\) −6.64933 20.2369i −0.295307 0.898750i
\(508\) −3.14595 + 5.44894i −0.139579 + 0.241758i
\(509\) −11.0074 19.0654i −0.487894 0.845058i 0.512009 0.858980i \(-0.328902\pi\)
−0.999903 + 0.0139223i \(0.995568\pi\)
\(510\) −0.634980 21.9066i −0.0281174 0.970041i
\(511\) 13.3229 23.0759i 0.589369 1.02082i
\(512\) 1.00000i 0.0441942i
\(513\) −2.95523 + 22.4559i −0.130477 + 0.991451i
\(514\) 14.1804 0.625469
\(515\) −14.5771 + 3.49187i −0.642345 + 0.153870i
\(516\) 14.4175 + 12.8956i 0.634694 + 0.567696i
\(517\) 2.82990 1.63384i 0.124459 0.0718563i
\(518\) −3.81646 + 6.61030i −0.167685 + 0.290440i
\(519\) 39.4417 12.9596i 1.73130 0.568862i
\(520\) 1.35936 1.28868i 0.0596117 0.0565122i
\(521\) 24.9351 1.09243 0.546214 0.837646i \(-0.316069\pi\)
0.546214 + 0.837646i \(0.316069\pi\)
\(522\) −24.2510 + 2.71095i −1.06144 + 0.118655i
\(523\) 8.63200 + 14.9511i 0.377451 + 0.653764i 0.990691 0.136133i \(-0.0434674\pi\)
−0.613240 + 0.789897i \(0.710134\pi\)
\(524\) 0.505204i 0.0220700i
\(525\) −34.6585 9.20159i −1.51262 0.401591i
\(526\) −0.000566048 0 0.000326808i −2.46809e−5 0 1.42495e-5i
\(527\) −27.1883 15.6972i −1.18434 0.683780i
\(528\) −0.455680 + 0.149725i −0.0198309 + 0.00651595i
\(529\) 11.4793 19.8827i 0.499100 0.864466i
\(530\) 20.2458 4.84978i 0.879422 0.210661i
\(531\) 10.7184 + 4.68756i 0.465140 + 0.203423i
\(532\) −15.2953 9.58168i −0.663137 0.415418i
\(533\) 4.89165 0.211881
\(534\) −8.46111 7.56796i −0.366148 0.327498i
\(535\) 3.07389 + 12.8322i 0.132896 + 0.554786i
\(536\) −9.29624 + 5.36719i −0.401537 + 0.231827i
\(537\) 15.0426 16.8179i 0.649136 0.725744i
\(538\) 4.44215 2.56468i 0.191515 0.110571i
\(539\) 2.80942i 0.121010i
\(540\) −1.62483 11.5048i −0.0699216 0.495087i
\(541\) 1.98420 + 3.43673i 0.0853073 + 0.147757i 0.905522 0.424299i \(-0.139479\pi\)
−0.820215 + 0.572056i \(0.806146\pi\)
\(542\) −3.18447 + 1.83855i −0.136785 + 0.0789726i
\(543\) −5.34407 + 25.5566i −0.229336 + 1.09674i
\(544\) 5.65864i 0.242612i
\(545\) 24.0345 + 7.13254i 1.02952 + 0.305524i
\(546\) −4.00517 + 4.47784i −0.171405 + 0.191634i
\(547\) 1.00884 + 1.74735i 0.0431347 + 0.0747115i 0.886787 0.462179i \(-0.152932\pi\)
−0.843652 + 0.536890i \(0.819599\pi\)
\(548\) −0.0331892 + 0.0574854i −0.00141777 + 0.00245566i
\(549\) −12.3734 + 9.11530i −0.528085 + 0.389032i
\(550\) 0.0738622 1.38265i 0.00314949 0.0589565i
\(551\) 18.8225 30.0465i 0.801864 1.28002i
\(552\) 0.0721505 0.345041i 0.00307093 0.0146859i
\(553\) 33.5478 58.1065i 1.42660 2.47094i
\(554\) −12.9107 + 22.3621i −0.548525 + 0.950073i
\(555\) 3.38910 6.28380i 0.143859 0.266733i
\(556\) −0.588959 + 1.02011i −0.0249774 + 0.0432622i
\(557\) −12.2671 21.2472i −0.519773 0.900274i −0.999736 0.0229846i \(-0.992683\pi\)
0.479963 0.877289i \(-0.340650\pi\)
\(558\) −15.2496 6.66920i −0.645566 0.282330i
\(559\) 9.35505i 0.395676i
\(560\) 8.87619 + 2.63412i 0.375087 + 0.111312i
\(561\) −2.57853 + 0.847241i −0.108866 + 0.0357705i
\(562\) 8.60469i 0.362967i
\(563\) 27.1996i 1.14633i −0.819441 0.573164i \(-0.805716\pi\)
0.819441 0.573164i \(-0.194284\pi\)
\(564\) −6.37986 19.4167i −0.268641 0.817593i
\(565\) 1.37003 + 5.71929i 0.0576374 + 0.240612i
\(566\) −7.48566 12.9655i −0.314646 0.544982i
\(567\) 8.22890 + 36.3460i 0.345581 + 1.52639i
\(568\) −9.69401 5.59684i −0.406752 0.234838i
\(569\) −14.1549 −0.593405 −0.296702 0.954970i \(-0.595887\pi\)
−0.296702 + 0.954970i \(0.595887\pi\)
\(570\) 14.5602 + 8.54399i 0.609861 + 0.357868i
\(571\) 29.8156 1.24774 0.623871 0.781527i \(-0.285559\pi\)
0.623871 + 0.781527i \(0.285559\pi\)
\(572\) −0.200896 0.115987i −0.00839988 0.00484967i
\(573\) 10.5427 + 9.42985i 0.440428 + 0.393937i
\(574\) 12.0897 + 20.9400i 0.504616 + 0.874020i
\(575\) 0.852863 + 0.555081i 0.0355668 + 0.0231485i
\(576\) 0.333286 + 2.98143i 0.0138869 + 0.124226i
\(577\) 10.8282i 0.450785i −0.974268 0.225393i \(-0.927634\pi\)
0.974268 0.225393i \(-0.0723665\pi\)
\(578\) 15.0202i 0.624756i
\(579\) 11.9446 + 36.3529i 0.496402 + 1.51077i
\(580\) −5.17453 + 17.4366i −0.214861 + 0.724015i
\(581\) 6.22026i 0.258060i
\(582\) −2.30356 + 11.0162i −0.0954858 + 0.456636i
\(583\) −1.28913 2.23285i −0.0533905 0.0924751i
\(584\) 3.21757 5.57300i 0.133144 0.230612i
\(585\) 3.62333 4.29516i 0.149806 0.177583i
\(586\) −4.99797 + 8.65674i −0.206464 + 0.357606i
\(587\) −7.46457 + 12.9290i −0.308096 + 0.533638i −0.977946 0.208859i \(-0.933025\pi\)
0.669850 + 0.742496i \(0.266358\pi\)
\(588\) −17.1997 3.59659i −0.709306 0.148321i
\(589\) 21.3655 11.3292i 0.880350 0.466813i
\(590\) 6.32803 5.99901i 0.260521 0.246975i
\(591\) −31.0758 + 34.7433i −1.27829 + 1.42915i
\(592\) −0.921703 + 1.59644i −0.0378817 + 0.0656131i
\(593\) −16.9851 29.4191i −0.697494 1.20810i −0.969333 0.245753i \(-0.920965\pi\)
0.271838 0.962343i \(-0.412368\pi\)
\(594\) −1.30868 + 0.598267i −0.0536957 + 0.0245472i
\(595\) 50.2271 + 14.9055i 2.05911 + 0.611068i
\(596\) 6.70739i 0.274745i
\(597\) −6.29642 1.31663i −0.257695 0.0538859i
\(598\) 0.147643 0.0852415i 0.00603756 0.00348579i
\(599\) −18.2404 31.5932i −0.745281 1.29086i −0.950063 0.312057i \(-0.898982\pi\)
0.204782 0.978808i \(-0.434351\pi\)
\(600\) −8.37028 2.22225i −0.341715 0.0907231i
\(601\) 6.32670i 0.258072i 0.991640 + 0.129036i \(0.0411882\pi\)
−0.991640 + 0.129036i \(0.958812\pi\)
\(602\) −40.0468 + 23.1210i −1.63219 + 0.942343i
\(603\) −25.9273 + 19.1002i −1.05584 + 0.777820i
\(604\) −10.1162 + 5.84059i −0.411622 + 0.237650i
\(605\) 23.7533 5.68997i 0.965708 0.231330i
\(606\) 4.03904 4.51572i 0.164075 0.183438i
\(607\) −30.0680 −1.22042 −0.610212 0.792238i \(-0.708916\pi\)
−0.610212 + 0.792238i \(0.708916\pi\)
\(608\) −3.69394 2.31405i −0.149809 0.0938470i
\(609\) 11.9402 57.1007i 0.483839 2.31384i
\(610\) 2.66849 + 11.1398i 0.108044 + 0.451039i
\(611\) 4.94227 8.56026i 0.199943 0.346311i
\(612\) 1.88595 + 16.8708i 0.0762349 + 0.681963i
\(613\) −10.8242 6.24937i −0.437187 0.252410i 0.265217 0.964189i \(-0.414556\pi\)
−0.702403 + 0.711779i \(0.747890\pi\)
\(614\) 24.9645 14.4133i 1.00749 0.581672i
\(615\) −11.8709 19.2505i −0.478682 0.776255i
\(616\) 1.14665i 0.0461999i
\(617\) 14.8991 + 25.8061i 0.599817 + 1.03891i 0.992848 + 0.119388i \(0.0380931\pi\)
−0.393031 + 0.919525i \(0.628574\pi\)
\(618\) 11.0307 3.62440i 0.443718 0.145795i
\(619\) 4.81279 0.193443 0.0967213 0.995312i \(-0.469164\pi\)
0.0967213 + 0.995312i \(0.469164\pi\)
\(620\) −9.00317 + 8.53505i −0.361576 + 0.342776i
\(621\) 0.100114 1.05276i 0.00401744 0.0422459i
\(622\) −9.54117 + 16.5258i −0.382566 + 0.662624i
\(623\) 23.5021 13.5689i 0.941590 0.543627i
\(624\) −0.967278 + 1.08143i −0.0387221 + 0.0432920i
\(625\) 14.7355 20.1957i 0.589418 0.807828i
\(626\) 14.6473 0.585424
\(627\) 0.501390 2.02973i 0.0200236 0.0810595i
\(628\) 0.133196i 0.00531511i
\(629\) −5.21558 + 9.03365i −0.207959 + 0.360195i
\(630\) 27.3416 + 4.89514i 1.08932 + 0.195027i
\(631\) 9.66769 + 16.7449i 0.384865 + 0.666605i 0.991750 0.128184i \(-0.0409147\pi\)
−0.606886 + 0.794789i \(0.707581\pi\)
\(632\) 8.10205 14.0332i 0.322282 0.558209i
\(633\) 3.27384 1.07570i 0.130123 0.0427553i
\(634\) 3.22170 0.127950
\(635\) 9.67937 + 10.2103i 0.384114 + 0.405182i
\(636\) −15.3202 + 5.03384i −0.607485 + 0.199605i
\(637\) −4.24916 7.35976i −0.168358 0.291604i
\(638\) 2.25251 0.0891777
\(639\) −30.7674 13.4557i −1.21714 0.532299i
\(640\) 2.14367 + 0.636160i 0.0847358 + 0.0251464i
\(641\) 8.82740 15.2895i 0.348661 0.603899i −0.637351 0.770574i \(-0.719970\pi\)
0.986012 + 0.166675i \(0.0533030\pi\)
\(642\) −3.19055 9.71027i −0.125921 0.383234i
\(643\) 22.5254 + 13.0051i 0.888315 + 0.512869i 0.873391 0.487019i \(-0.161916\pi\)
0.0149244 + 0.999889i \(0.495249\pi\)
\(644\) 0.729799 + 0.421350i 0.0287581 + 0.0166035i
\(645\) 36.8156 22.7026i 1.44961 0.893913i
\(646\) −20.9027 13.0943i −0.822404 0.515190i
\(647\) −32.4210 −1.27460 −0.637300 0.770616i \(-0.719949\pi\)
−0.637300 + 0.770616i \(0.719949\pi\)
\(648\) 1.98734 + 8.77784i 0.0780701 + 0.344826i
\(649\) −0.935204 0.539940i −0.0367099 0.0211945i
\(650\) −1.89772 3.73381i −0.0744349 0.146452i
\(651\) 26.5267 29.6573i 1.03966 1.16236i
\(652\) 3.81474 2.20244i 0.149397 0.0862541i
\(653\) −6.39815 −0.250379 −0.125190 0.992133i \(-0.539954\pi\)
−0.125190 + 0.992133i \(0.539954\pi\)
\(654\) −19.0084 3.97479i −0.743286 0.155426i
\(655\) −1.08299 0.321391i −0.0423159 0.0125578i
\(656\) 2.91976 + 5.05717i 0.113997 + 0.197449i
\(657\) 7.73556 17.6879i 0.301793 0.690069i
\(658\) 48.8593 1.90474
\(659\) −19.1631 33.1915i −0.746489 1.29296i −0.949496 0.313779i \(-0.898405\pi\)
0.203007 0.979177i \(-0.434928\pi\)
\(660\) 0.0310750 + 1.07208i 0.00120959 + 0.0417305i
\(661\) 6.47622 3.73905i 0.251896 0.145432i −0.368736 0.929534i \(-0.620209\pi\)
0.620632 + 0.784102i \(0.286876\pi\)
\(662\) −6.21648 + 10.7673i −0.241610 + 0.418481i
\(663\) −5.47347 + 6.11943i −0.212572 + 0.237659i
\(664\) 1.50224i 0.0582982i
\(665\) −30.2702 + 26.6926i −1.17383 + 1.03510i
\(666\) −2.21592 + 5.06685i −0.0858652 + 0.196336i
\(667\) −0.827708 + 1.43363i −0.0320490 + 0.0555105i
\(668\) 6.03723 + 3.48560i 0.233588 + 0.134862i
\(669\) −12.1560 36.9962i −0.469979 1.43036i
\(670\) 5.59155 + 23.3424i 0.216021 + 0.901796i
\(671\) 1.22858 0.709320i 0.0474287 0.0273830i
\(672\) −7.02000 1.46793i −0.270802 0.0566266i
\(673\) −36.1921 −1.39510 −0.697551 0.716535i \(-0.745727\pi\)
−0.697551 + 0.716535i \(0.745727\pi\)
\(674\) 1.16376 0.671895i 0.0448262 0.0258804i
\(675\) −25.6960 3.83579i −0.989041 0.147640i
\(676\) 12.2983 0.473011
\(677\) 4.59634i 0.176652i 0.996092 + 0.0883258i \(0.0281516\pi\)
−0.996092 + 0.0883258i \(0.971848\pi\)
\(678\) −1.42202 4.32784i −0.0546124 0.166210i
\(679\) −23.3005 13.4525i −0.894190 0.516261i
\(680\) 12.1302 + 3.59980i 0.465173 + 0.138046i
\(681\) 36.2898 + 32.4591i 1.39063 + 1.24384i
\(682\) 1.33056 + 0.768196i 0.0509496 + 0.0294158i
\(683\) 20.8899i 0.799330i 0.916661 + 0.399665i \(0.130874\pi\)
−0.916661 + 0.399665i \(0.869126\pi\)
\(684\) −11.7845 5.66803i −0.450590 0.216722i
\(685\) 0.102116 + 0.107717i 0.00390164 + 0.00411564i
\(686\) 6.51131 11.2779i 0.248603 0.430593i
\(687\) −26.1303 + 29.2141i −0.996932 + 1.11459i
\(688\) −9.67160 + 5.58390i −0.368726 + 0.212884i
\(689\) −6.75422 3.89955i −0.257315 0.148561i
\(690\) −0.693753 0.374168i −0.0264107 0.0142443i
\(691\) −37.5189 −1.42729 −0.713644 0.700509i \(-0.752957\pi\)
−0.713644 + 0.700509i \(0.752957\pi\)
\(692\) 23.9694i 0.911181i
\(693\) −0.382163 3.41866i −0.0145172 0.129864i
\(694\) −20.7407 + 11.9747i −0.787308 + 0.454552i
\(695\) 1.81210 + 1.91148i 0.0687367 + 0.0725066i
\(696\) 2.88364 13.7902i 0.109304 0.522718i
\(697\) 16.5219 + 28.6167i 0.625810 + 1.08393i
\(698\) 25.5453 + 14.7486i 0.966904 + 0.558242i
\(699\) 10.1403 + 30.8614i 0.383541 + 1.16729i
\(700\) 11.2934 17.3518i 0.426849 0.655838i
\(701\) −14.7634 8.52364i −0.557605 0.321933i 0.194579 0.980887i \(-0.437666\pi\)
−0.752184 + 0.658954i \(0.770999\pi\)
\(702\) −2.52344 + 3.54660i −0.0952413 + 0.133858i
\(703\) −3.76427 7.09894i −0.141972 0.267742i
\(704\) 0.276925i 0.0104370i
\(705\) −45.6816 + 1.32412i −1.72047 + 0.0498692i
\(706\) 25.1662 + 14.5297i 0.947143 + 0.546834i
\(707\) 7.24177 + 12.5431i 0.272355 + 0.471733i
\(708\) −4.50284 + 5.03425i −0.169227 + 0.189199i
\(709\) 8.29143 + 14.3612i 0.311391 + 0.539345i 0.978664 0.205468i \(-0.0658717\pi\)
−0.667273 + 0.744814i \(0.732538\pi\)
\(710\) −18.1647 + 17.2202i −0.681709 + 0.646263i
\(711\) 19.4786 44.5392i 0.730506 1.67035i
\(712\) 5.67592 3.27700i 0.212714 0.122811i
\(713\) −0.977854 + 0.564564i −0.0366209 + 0.0211431i
\(714\) −39.7236 8.30648i −1.48662 0.310862i
\(715\) −0.376440 + 0.356867i −0.0140781 + 0.0133461i
\(716\) 6.51358 + 11.2818i 0.243424 + 0.421622i
\(717\) −12.1508 10.8681i −0.453778 0.405878i
\(718\) 17.1919 + 29.7773i 0.641597 + 1.11128i
\(719\) −22.8964 13.2192i −0.853892 0.492994i 0.00807046 0.999967i \(-0.497431\pi\)
−0.861962 + 0.506973i \(0.830764\pi\)
\(720\) 6.60321 + 1.18221i 0.246087 + 0.0440585i
\(721\) 27.7570i 1.03372i
\(722\) 17.0959 8.29038i 0.636243 0.308536i
\(723\) 2.80314 13.4053i 0.104250 0.498547i
\(724\) −13.0547 7.53713i −0.485174 0.280115i
\(725\) 34.0864 + 22.1849i 1.26594 + 0.823927i
\(726\) −17.9743 + 5.90592i −0.667090 + 0.219189i
\(727\) 4.72362 + 2.72718i 0.175189 + 0.101146i 0.585031 0.811011i \(-0.301083\pi\)
−0.409841 + 0.912157i \(0.634416\pi\)
\(728\) −1.73427 3.00385i −0.0642765 0.111330i
\(729\) 8.85065 + 25.5082i 0.327802 + 0.944747i
\(730\) −9.89975 10.4427i −0.366406 0.386502i
\(731\) −54.7281 + 31.5973i −2.02419 + 1.16867i
\(732\) −2.76976 8.42962i −0.102373 0.311568i
\(733\) 6.23280i 0.230214i −0.993353 0.115107i \(-0.963279\pi\)
0.993353 0.115107i \(-0.0367210\pi\)
\(734\) 10.9862 0.405508
\(735\) −18.6517 + 34.5825i −0.687977 + 1.27559i
\(736\) 0.176252 + 0.101759i 0.00649673 + 0.00375089i
\(737\) 2.57436 1.48631i 0.0948278 0.0547489i
\(738\) 10.3905 + 14.1045i 0.382481 + 0.519193i
\(739\) −7.84449 + 13.5871i −0.288564 + 0.499808i −0.973467 0.228826i \(-0.926511\pi\)
0.684903 + 0.728634i \(0.259845\pi\)
\(740\) 2.83587 + 2.99141i 0.104249 + 0.109966i
\(741\) −1.75642 6.07555i −0.0645237 0.223191i
\(742\) 38.5510i 1.41525i
\(743\) −17.9419 10.3588i −0.658225 0.380026i 0.133375 0.991066i \(-0.457418\pi\)
−0.791600 + 0.611039i \(0.790752\pi\)
\(744\) 6.40639 7.16245i 0.234870 0.262588i
\(745\) −14.3784 4.26698i −0.526784 0.156330i
\(746\) −1.89061 1.09154i −0.0692201 0.0399643i
\(747\) −0.500676 4.47882i −0.0183188 0.163871i
\(748\) 1.56702i 0.0572958i
\(749\) 24.4344 0.892815
\(750\) −10.0886 + 16.5294i −0.368384 + 0.603567i
\(751\) −44.2932 + 25.5727i −1.61628 + 0.933161i −0.628411 + 0.777881i \(0.716294\pi\)
−0.987871 + 0.155279i \(0.950372\pi\)
\(752\) 11.7999 0.430298
\(753\) −4.77181 + 22.8200i −0.173895 + 0.831606i
\(754\) 5.90083 3.40685i 0.214896 0.124070i
\(755\) 6.08475 + 25.4013i 0.221447 + 0.924448i
\(756\) −21.4189 2.03686i −0.778997 0.0740799i
\(757\) 22.3683 + 12.9143i 0.812988 + 0.469379i 0.847993 0.530008i \(-0.177811\pi\)
−0.0350041 + 0.999387i \(0.511144\pi\)
\(758\) 4.72385 8.18196i 0.171578 0.297182i
\(759\) −0.0199803 + 0.0955504i −0.000725238 + 0.00346826i
\(760\) −7.31048 + 6.44646i −0.265179 + 0.233838i
\(761\) 1.34313i 0.0486886i 0.999704 + 0.0243443i \(0.00774979\pi\)
−0.999704 + 0.0243443i \(0.992250\pi\)
\(762\) −8.12274 7.26532i −0.294256 0.263195i
\(763\) 23.2122 40.2048i 0.840340 1.45551i
\(764\) −7.07232 + 4.08321i −0.255868 + 0.147725i
\(765\) 37.3652 + 6.68971i 1.35094 + 0.241867i
\(766\) 13.2518 + 22.9528i 0.478808 + 0.829319i
\(767\) −3.26657 −0.117949
\(768\) −1.69538 0.354516i −0.0611768 0.0127925i
\(769\) −26.6553 46.1683i −0.961214 1.66487i −0.719461 0.694533i \(-0.755611\pi\)
−0.241753 0.970338i \(-0.577722\pi\)
\(770\) −2.45804 0.729454i −0.0885815 0.0262877i
\(771\) −5.02717 + 24.0411i −0.181049 + 0.865820i
\(772\) −22.0923 −0.795118
\(773\) 22.3337 12.8944i 0.803289 0.463779i −0.0413311 0.999146i \(-0.513160\pi\)
0.844620 + 0.535366i \(0.179826\pi\)
\(774\) −26.9742 + 19.8714i −0.969566 + 0.714263i
\(775\) 12.5688 + 24.7294i 0.451486 + 0.888308i