Properties

Label 441.2.z.a.130.35
Level $441$
Weight $2$
Character 441.130
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 130.35
Character \(\chi\) \(=\) 441.130
Dual form 441.2.z.a.268.35

$q$-expansion

\(f(q)\) \(=\) \(q+(0.821420 - 0.560034i) q^{2} +(-1.08036 - 1.35382i) q^{3} +(-0.369590 + 0.941701i) q^{4} +(-0.0503266 - 0.220495i) q^{5} +(-1.64561 - 0.507013i) q^{6} +(1.99876 + 1.73348i) q^{7} +(0.666242 + 2.91900i) q^{8} +(-0.665643 + 2.92522i) q^{9} +O(q^{10})\) \(q+(0.821420 - 0.560034i) q^{2} +(-1.08036 - 1.35382i) q^{3} +(-0.369590 + 0.941701i) q^{4} +(-0.0503266 - 0.220495i) q^{5} +(-1.64561 - 0.507013i) q^{6} +(1.99876 + 1.73348i) q^{7} +(0.666242 + 2.91900i) q^{8} +(-0.665643 + 2.92522i) q^{9} +(-0.164824 - 0.152934i) q^{10} +(2.39852 + 1.15506i) q^{11} +(1.67418 - 0.517019i) q^{12} +(2.29139 - 1.56224i) q^{13} +(2.61263 + 0.304544i) q^{14} +(-0.244139 + 0.306347i) q^{15} +(0.698847 + 0.648435i) q^{16} +(1.07034 + 2.72719i) q^{17} +(1.09145 + 2.77562i) q^{18} +(-3.31409 - 5.74017i) q^{19} +(0.226241 + 0.0341003i) q^{20} +(0.187442 - 4.57874i) q^{21} +(2.61706 - 0.394459i) q^{22} +(3.25875 + 4.08634i) q^{23} +(3.23201 - 4.05554i) q^{24} +(4.45876 - 2.14723i) q^{25} +(1.00728 - 2.56652i) q^{26} +(4.67935 - 2.25913i) q^{27} +(-2.37115 + 1.24155i) q^{28} +(-0.700759 - 0.105622i) q^{29} +(-0.0289759 + 0.388366i) q^{30} +(1.46177 + 2.53186i) q^{31} +(-4.98406 - 0.751226i) q^{32} +(-1.02752 - 4.49504i) q^{33} +(2.40652 + 1.64074i) q^{34} +(0.281634 - 0.527957i) q^{35} +(-2.50867 - 1.70797i) q^{36} +(-8.10899 - 1.22223i) q^{37} +(-5.93695 - 2.85909i) q^{38} +(-4.59052 - 1.41434i) q^{39} +(0.610095 - 0.293806i) q^{40} +(11.2533 + 3.47117i) q^{41} +(-2.41028 - 3.86604i) q^{42} +(1.58948 - 0.490290i) q^{43} +(-1.97419 + 1.83178i) q^{44} +(0.678497 - 0.000445325i) q^{45} +(4.96529 + 1.53159i) q^{46} +(-6.76399 + 4.61161i) q^{47} +(0.122856 - 1.64665i) q^{48} +(0.990067 + 6.92963i) q^{49} +(2.45999 - 4.26083i) q^{50} +(2.53576 - 4.39539i) q^{51} +(0.624291 + 2.73520i) q^{52} +(1.80385 - 0.271886i) q^{53} +(2.57852 - 4.47629i) q^{54} +(0.133977 - 0.586992i) q^{55} +(-3.72838 + 6.98929i) q^{56} +(-4.19074 + 10.6881i) q^{57} +(-0.634770 + 0.305689i) q^{58} +(-5.56046 + 1.71517i) q^{59} +(-0.198256 - 0.343129i) q^{60} +(-1.77268 - 4.51672i) q^{61} +(2.61865 + 1.26108i) q^{62} +(-6.40128 + 4.69293i) q^{63} +(-6.23257 + 3.00145i) q^{64} +(-0.459785 - 0.426619i) q^{65} +(-3.36140 - 3.11687i) q^{66} +(0.681503 + 1.18040i) q^{67} -2.96378 q^{68} +(2.01154 - 8.82647i) q^{69} +(-0.0643341 - 0.591399i) q^{70} +(-1.06012 - 1.32935i) q^{71} +(-8.98219 + 0.00589538i) q^{72} +(0.771231 - 10.2914i) q^{73} +(-7.34537 + 3.53735i) q^{74} +(-7.72402 - 3.71657i) q^{75} +(6.63039 - 0.999370i) q^{76} +(2.79177 + 6.46648i) q^{77} +(-4.56282 + 1.40908i) q^{78} +(0.398579 - 0.690359i) q^{79} +(0.107806 - 0.186726i) q^{80} +(-8.11384 - 3.89431i) q^{81} +(11.1876 - 3.45092i) q^{82} +(-7.14143 - 4.86894i) q^{83} +(4.24253 + 1.86877i) q^{84} +(0.547465 - 0.373255i) q^{85} +(1.03105 - 1.29290i) q^{86} +(0.614079 + 1.06281i) q^{87} +(-1.77364 + 7.77082i) q^{88} +(1.36359 + 0.929683i) q^{89} +(0.557081 - 0.380347i) q^{90} +(7.28806 + 0.849542i) q^{91} +(-5.05252 + 1.55849i) q^{92} +(1.84843 - 4.71428i) q^{93} +(-2.97341 + 7.57613i) q^{94} +(-1.09889 + 1.01962i) q^{95} +(4.36755 + 7.55910i) q^{96} +(4.23708 + 7.33884i) q^{97} +(4.69409 + 5.13766i) q^{98} +(-4.97537 + 6.24733i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} + O(q^{10}) \) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.821420 0.560034i 0.580831 0.396004i −0.236960 0.971520i \(-0.576151\pi\)
0.817791 + 0.575515i \(0.195199\pi\)
\(3\) −1.08036 1.35382i −0.623746 0.781627i
\(4\) −0.369590 + 0.941701i −0.184795 + 0.470851i
\(5\) −0.0503266 0.220495i −0.0225067 0.0986085i 0.962427 0.271540i \(-0.0875331\pi\)
−0.984934 + 0.172932i \(0.944676\pi\)
\(6\) −1.64561 0.507013i −0.671819 0.206987i
\(7\) 1.99876 + 1.73348i 0.755459 + 0.655195i
\(8\) 0.666242 + 2.91900i 0.235552 + 1.03202i
\(9\) −0.665643 + 2.92522i −0.221881 + 0.975074i
\(10\) −0.164824 0.152934i −0.0521220 0.0483621i
\(11\) 2.39852 + 1.15506i 0.723180 + 0.348265i 0.758998 0.651093i \(-0.225689\pi\)
−0.0358179 + 0.999358i \(0.511404\pi\)
\(12\) 1.67418 0.517019i 0.483295 0.149250i
\(13\) 2.29139 1.56224i 0.635518 0.433289i −0.202236 0.979337i \(-0.564821\pi\)
0.837754 + 0.546048i \(0.183868\pi\)
\(14\) 2.61263 + 0.304544i 0.698255 + 0.0813929i
\(15\) −0.244139 + 0.306347i −0.0630365 + 0.0790985i
\(16\) 0.698847 + 0.648435i 0.174712 + 0.162109i
\(17\) 1.07034 + 2.72719i 0.259596 + 0.661440i 0.999942 0.0107864i \(-0.00343349\pi\)
−0.740346 + 0.672226i \(0.765338\pi\)
\(18\) 1.09145 + 2.77562i 0.257258 + 0.654219i
\(19\) −3.31409 5.74017i −0.760305 1.31689i −0.942694 0.333660i \(-0.891716\pi\)
0.182389 0.983226i \(-0.441617\pi\)
\(20\) 0.226241 + 0.0341003i 0.0505890 + 0.00762506i
\(21\) 0.187442 4.57874i 0.0409032 0.999163i
\(22\) 2.61706 0.394459i 0.557960 0.0840989i
\(23\) 3.25875 + 4.08634i 0.679496 + 0.852061i 0.995308 0.0967608i \(-0.0308482\pi\)
−0.315812 + 0.948822i \(0.602277\pi\)
\(24\) 3.23201 4.05554i 0.659731 0.827834i
\(25\) 4.45876 2.14723i 0.891752 0.429445i
\(26\) 1.00728 2.56652i 0.197545 0.503335i
\(27\) 4.67935 2.25913i 0.900541 0.434771i
\(28\) −2.37115 + 1.24155i −0.448104 + 0.234632i
\(29\) −0.700759 0.105622i −0.130128 0.0196136i 0.0836554 0.996495i \(-0.473340\pi\)
−0.213783 + 0.976881i \(0.568579\pi\)
\(30\) −0.0289759 + 0.388366i −0.00529024 + 0.0709056i
\(31\) 1.46177 + 2.53186i 0.262541 + 0.454735i 0.966917 0.255093i \(-0.0821061\pi\)
−0.704375 + 0.709828i \(0.748773\pi\)
\(32\) −4.98406 0.751226i −0.881065 0.132799i
\(33\) −1.02752 4.49504i −0.178867 0.782486i
\(34\) 2.40652 + 1.64074i 0.412714 + 0.281384i
\(35\) 0.281634 0.527957i 0.0476049 0.0892410i
\(36\) −2.50867 1.70797i −0.418112 0.284662i
\(37\) −8.10899 1.22223i −1.33311 0.200934i −0.556464 0.830872i \(-0.687842\pi\)
−0.776646 + 0.629938i \(0.783080\pi\)
\(38\) −5.93695 2.85909i −0.963101 0.463805i
\(39\) −4.59052 1.41434i −0.735072 0.226476i
\(40\) 0.610095 0.293806i 0.0964646 0.0464549i
\(41\) 11.2533 + 3.47117i 1.75746 + 0.542106i 0.994537 0.104381i \(-0.0332860\pi\)
0.762926 + 0.646486i \(0.223762\pi\)
\(42\) −2.41028 3.86604i −0.371915 0.596543i
\(43\) 1.58948 0.490290i 0.242394 0.0747685i −0.171178 0.985240i \(-0.554757\pi\)
0.413572 + 0.910472i \(0.364281\pi\)
\(44\) −1.97419 + 1.83178i −0.297621 + 0.276152i
\(45\) 0.678497 0.000445325i 0.101144 6.63851e-5i
\(46\) 4.96529 + 1.53159i 0.732092 + 0.225821i
\(47\) −6.76399 + 4.61161i −0.986629 + 0.672672i −0.945208 0.326469i \(-0.894141\pi\)
−0.0414213 + 0.999142i \(0.513189\pi\)
\(48\) 0.122856 1.64665i 0.0177328 0.237674i
\(49\) 0.990067 + 6.92963i 0.141438 + 0.989947i
\(50\) 2.45999 4.26083i 0.347895 0.602572i
\(51\) 2.53576 4.39539i 0.355077 0.615478i
\(52\) 0.624291 + 2.73520i 0.0865736 + 0.379304i
\(53\) 1.80385 0.271886i 0.247778 0.0373464i −0.0239791 0.999712i \(-0.507634\pi\)
0.271757 + 0.962366i \(0.412395\pi\)
\(54\) 2.57852 4.47629i 0.350892 0.609146i
\(55\) 0.133977 0.586992i 0.0180655 0.0791500i
\(56\) −3.72838 + 6.98929i −0.498226 + 0.933983i
\(57\) −4.19074 + 10.6881i −0.555076 + 1.41568i
\(58\) −0.634770 + 0.305689i −0.0833493 + 0.0401389i
\(59\) −5.56046 + 1.71517i −0.723910 + 0.223297i −0.634746 0.772720i \(-0.718895\pi\)
−0.0891632 + 0.996017i \(0.528419\pi\)
\(60\) −0.198256 0.343129i −0.0255947 0.0442978i
\(61\) −1.77268 4.51672i −0.226969 0.578306i 0.771341 0.636422i \(-0.219586\pi\)
−0.998310 + 0.0581152i \(0.981491\pi\)
\(62\) 2.61865 + 1.26108i 0.332569 + 0.160157i
\(63\) −6.40128 + 4.69293i −0.806486 + 0.591253i
\(64\) −6.23257 + 3.00145i −0.779071 + 0.375181i
\(65\) −0.459785 0.426619i −0.0570294 0.0529155i
\(66\) −3.36140 3.11687i −0.413759 0.383660i
\(67\) 0.681503 + 1.18040i 0.0832589 + 0.144209i 0.904648 0.426160i \(-0.140134\pi\)
−0.821389 + 0.570368i \(0.806801\pi\)
\(68\) −2.96378 −0.359411
\(69\) 2.01154 8.82647i 0.242161 1.06258i
\(70\) −0.0643341 0.591399i −0.00768940 0.0706857i
\(71\) −1.06012 1.32935i −0.125813 0.157765i 0.714935 0.699190i \(-0.246456\pi\)
−0.840748 + 0.541426i \(0.817885\pi\)
\(72\) −8.98219 + 0.00589538i −1.05856 + 0.000694777i
\(73\) 0.771231 10.2914i 0.0902658 1.20451i −0.749664 0.661818i \(-0.769785\pi\)
0.839930 0.542695i \(-0.182596\pi\)
\(74\) −7.34537 + 3.53735i −0.853882 + 0.411208i
\(75\) −7.72402 3.71657i −0.891893 0.429152i
\(76\) 6.63039 0.999370i 0.760557 0.114636i
\(77\) 2.79177 + 6.46648i 0.318151 + 0.736924i
\(78\) −4.56282 + 1.40908i −0.516638 + 0.159547i
\(79\) 0.398579 0.690359i 0.0448436 0.0776714i −0.842732 0.538333i \(-0.819054\pi\)
0.887576 + 0.460661i \(0.152388\pi\)
\(80\) 0.107806 0.186726i 0.0120531 0.0208766i
\(81\) −8.11384 3.89431i −0.901538 0.432701i
\(82\) 11.1876 3.45092i 1.23547 0.381091i
\(83\) −7.14143 4.86894i −0.783873 0.534436i 0.103971 0.994580i \(-0.466845\pi\)
−0.887844 + 0.460145i \(0.847798\pi\)
\(84\) 4.24253 + 1.86877i 0.462898 + 0.203900i
\(85\) 0.547465 0.373255i 0.0593809 0.0404852i
\(86\) 1.03105 1.29290i 0.111181 0.139417i
\(87\) 0.614079 + 1.06281i 0.0658362 + 0.113945i
\(88\) −1.77364 + 7.77082i −0.189070 + 0.828372i
\(89\) 1.36359 + 0.929683i 0.144541 + 0.0985462i 0.633431 0.773799i \(-0.281646\pi\)
−0.488891 + 0.872345i \(0.662598\pi\)
\(90\) 0.557081 0.380347i 0.0587215 0.0400921i
\(91\) 7.28806 + 0.849542i 0.763997 + 0.0890562i
\(92\) −5.05252 + 1.55849i −0.526761 + 0.162484i
\(93\) 1.84843 4.71428i 0.191674 0.488848i
\(94\) −2.97341 + 7.57613i −0.306684 + 0.781418i
\(95\) −1.09889 + 1.01962i −0.112744 + 0.104611i
\(96\) 4.36755 + 7.55910i 0.445762 + 0.771497i
\(97\) 4.23708 + 7.33884i 0.430210 + 0.745146i 0.996891 0.0787914i \(-0.0251061\pi\)
−0.566681 + 0.823937i \(0.691773\pi\)
\(98\) 4.69409 + 5.13766i 0.474175 + 0.518982i
\(99\) −4.97537 + 6.24733i −0.500044 + 0.627880i
\(100\) 0.374130 + 4.99241i 0.0374130 + 0.499241i
\(101\) −2.13691 9.36243i −0.212631 0.931597i −0.962771 0.270318i \(-0.912871\pi\)
0.750140 0.661279i \(-0.229986\pi\)
\(102\) −0.378649 5.03057i −0.0374919 0.498101i
\(103\) −3.86377 16.9283i −0.380708 1.66799i −0.695266 0.718753i \(-0.744713\pi\)
0.314557 0.949238i \(-0.398144\pi\)
\(104\) 6.08681 + 5.64774i 0.596861 + 0.553806i
\(105\) −1.01902 + 0.189102i −0.0994465 + 0.0184545i
\(106\) 1.32945 1.23355i 0.129128 0.119813i
\(107\) −10.9421 7.46023i −1.05782 0.721208i −0.0961335 0.995368i \(-0.530648\pi\)
−0.961684 + 0.274161i \(0.911600\pi\)
\(108\) 0.397986 + 5.24150i 0.0382962 + 0.504364i
\(109\) −1.42140 + 0.969095i −0.136146 + 0.0928225i −0.629478 0.777019i \(-0.716731\pi\)
0.493332 + 0.869841i \(0.335779\pi\)
\(110\) −0.218684 0.557198i −0.0208507 0.0531268i
\(111\) 7.10595 + 12.2985i 0.674467 + 1.16733i
\(112\) 0.272774 + 2.50750i 0.0257747 + 0.236937i
\(113\) −0.951549 + 12.6975i −0.0895142 + 1.19448i 0.753815 + 0.657087i \(0.228212\pi\)
−0.843329 + 0.537397i \(0.819408\pi\)
\(114\) 2.54337 + 11.1264i 0.238208 + 1.04208i
\(115\) 0.737017 0.924190i 0.0687272 0.0861812i
\(116\) 0.358459 0.620869i 0.0332821 0.0576462i
\(117\) 3.04466 + 7.74273i 0.281479 + 0.715815i
\(118\) −3.60691 + 4.52292i −0.332043 + 0.416369i
\(119\) −2.58818 + 7.30640i −0.237258 + 0.669777i
\(120\) −1.05688 0.508541i −0.0964798 0.0464232i
\(121\) −2.43968 3.05926i −0.221789 0.278115i
\(122\) −3.98563 2.71736i −0.360842 0.246018i
\(123\) −7.45824 18.9850i −0.672487 1.71182i
\(124\) −2.92451 + 0.440799i −0.262629 + 0.0395849i
\(125\) −1.40291 1.75919i −0.125480 0.157347i
\(126\) −2.62994 + 7.43980i −0.234294 + 0.662790i
\(127\) 11.5237 14.4503i 1.02257 1.28226i 0.0638311 0.997961i \(-0.479668\pi\)
0.958736 0.284298i \(-0.0917605\pi\)
\(128\) 1.60171 2.77425i 0.141573 0.245211i
\(129\) −2.38097 1.62218i −0.209633 0.142825i
\(130\) −0.616598 0.0929372i −0.0540792 0.00815113i
\(131\) −2.79393 + 12.2410i −0.244107 + 1.06950i 0.693131 + 0.720812i \(0.256231\pi\)
−0.937238 + 0.348691i \(0.886626\pi\)
\(132\) 4.61274 + 0.693711i 0.401488 + 0.0603798i
\(133\) 3.32643 17.2181i 0.288438 1.49300i
\(134\) 1.22086 + 0.587937i 0.105467 + 0.0507900i
\(135\) −0.733624 0.918080i −0.0631403 0.0790157i
\(136\) −7.24754 + 4.94129i −0.621472 + 0.423712i
\(137\) 0.289390 1.26790i 0.0247242 0.108324i −0.961060 0.276339i \(-0.910879\pi\)
0.985784 + 0.168015i \(0.0537358\pi\)
\(138\) −3.29081 8.37677i −0.280132 0.713078i
\(139\) 0.232782 + 0.0718037i 0.0197443 + 0.00609031i 0.304612 0.952477i \(-0.401473\pi\)
−0.284867 + 0.958567i \(0.591950\pi\)
\(140\) 0.393088 + 0.460343i 0.0332220 + 0.0389061i
\(141\) 13.5508 + 4.17501i 1.14119 + 0.351599i
\(142\) −1.61528 0.498249i −0.135552 0.0418121i
\(143\) 7.30043 1.10036i 0.610493 0.0920170i
\(144\) −2.36200 + 1.61266i −0.196833 + 0.134388i
\(145\) 0.0119776 + 0.159830i 0.000994684 + 0.0132731i
\(146\) −5.13001 8.88544i −0.424563 0.735364i
\(147\) 8.31182 8.82687i 0.685548 0.728028i
\(148\) 4.14798 7.18452i 0.340962 0.590564i
\(149\) 3.16666 + 1.52498i 0.259423 + 0.124932i 0.559075 0.829117i \(-0.311156\pi\)
−0.299652 + 0.954049i \(0.596871\pi\)
\(150\) −8.42606 + 1.27285i −0.687985 + 0.103928i
\(151\) −1.84409 2.31242i −0.150070 0.188182i 0.701114 0.713049i \(-0.252686\pi\)
−0.851184 + 0.524867i \(0.824115\pi\)
\(152\) 14.5476 13.4982i 1.17996 1.09485i
\(153\) −8.69009 + 1.31565i −0.702552 + 0.106364i
\(154\) 5.91467 + 3.74821i 0.476617 + 0.302039i
\(155\) 0.484696 0.449733i 0.0389318 0.0361234i
\(156\) 3.02850 3.80017i 0.242474 0.304257i
\(157\) 5.92969 1.82907i 0.473241 0.145975i −0.0489552 0.998801i \(-0.515589\pi\)
0.522196 + 0.852826i \(0.325113\pi\)
\(158\) −0.0592242 0.790292i −0.00471162 0.0628722i
\(159\) −2.31689 2.14834i −0.183741 0.170375i
\(160\) 0.0851889 + 1.13677i 0.00673478 + 0.0898693i
\(161\) −0.570158 + 13.8166i −0.0449347 + 1.08890i
\(162\) −8.84581 + 1.34517i −0.694993 + 0.105686i
\(163\) −21.8203 + 6.73067i −1.70910 + 0.527186i −0.986454 0.164036i \(-0.947549\pi\)
−0.722642 + 0.691222i \(0.757072\pi\)
\(164\) −7.42790 + 9.31429i −0.580022 + 0.727324i
\(165\) −0.939423 + 0.452782i −0.0731340 + 0.0352490i
\(166\) −8.59288 −0.666937
\(167\) −8.06213 20.5420i −0.623866 1.58958i −0.796527 0.604603i \(-0.793332\pi\)
0.172661 0.984981i \(-0.444764\pi\)
\(168\) 13.4902 2.50341i 1.04079 0.193142i
\(169\) −1.93956 + 4.94193i −0.149197 + 0.380148i
\(170\) 0.240663 0.613198i 0.0184580 0.0470302i
\(171\) 18.9973 5.87354i 1.45276 0.449161i
\(172\) −0.125750 + 1.67802i −0.00958838 + 0.127948i
\(173\) 9.76845 1.47236i 0.742681 0.111941i 0.233207 0.972427i \(-0.425078\pi\)
0.509474 + 0.860486i \(0.329840\pi\)
\(174\) 1.09963 + 0.529108i 0.0833625 + 0.0401116i
\(175\) 12.6342 + 3.43740i 0.955053 + 0.259843i
\(176\) 0.927211 + 2.36249i 0.0698911 + 0.178080i
\(177\) 8.32933 + 5.67484i 0.626071 + 0.426547i
\(178\) 1.64074 0.122979
\(179\) −8.74820 22.2901i −0.653871 1.66604i −0.742395 0.669963i \(-0.766310\pi\)
0.0885236 0.996074i \(-0.471785\pi\)
\(180\) −0.250347 + 0.639106i −0.0186597 + 0.0476361i
\(181\) 13.0641 6.29133i 0.971046 0.467631i 0.120030 0.992770i \(-0.461701\pi\)
0.851016 + 0.525139i \(0.175987\pi\)
\(182\) 6.46233 3.38374i 0.479020 0.250819i
\(183\) −4.19968 + 7.27957i −0.310449 + 0.538121i
\(184\) −9.75691 + 12.2348i −0.719289 + 0.901959i
\(185\) 0.138601 + 1.84950i 0.0101902 + 0.135978i
\(186\) −1.12182 4.90759i −0.0822559 0.359842i
\(187\) −0.582844 + 7.77751i −0.0426218 + 0.568748i
\(188\) −1.84285 8.07406i −0.134404 0.588862i
\(189\) 13.2691 + 3.59612i 0.965182 + 0.261579i
\(190\) −0.331628 + 1.45296i −0.0240588 + 0.105409i
\(191\) 5.47325 + 1.68827i 0.396030 + 0.122159i 0.486372 0.873752i \(-0.338320\pi\)
−0.0903420 + 0.995911i \(0.528796\pi\)
\(192\) 10.7968 + 5.19512i 0.779194 + 0.374925i
\(193\) 20.2877 18.8242i 1.46034 1.35500i 0.669904 0.742447i \(-0.266335\pi\)
0.790433 0.612548i \(-0.209855\pi\)
\(194\) 7.59042 + 3.65535i 0.544960 + 0.262439i
\(195\) −0.0808296 + 1.08337i −0.00578833 + 0.0775815i
\(196\) −6.89156 1.62878i −0.492254 0.116341i
\(197\) −1.46909 −0.104668 −0.0523340 0.998630i \(-0.516666\pi\)
−0.0523340 + 0.998630i \(0.516666\pi\)
\(198\) −0.588151 + 7.91806i −0.0417980 + 0.562712i
\(199\) −26.8093 8.26956i −1.90046 0.586214i −0.981358 0.192188i \(-0.938442\pi\)
−0.919100 0.394025i \(-0.871082\pi\)
\(200\) 9.23836 + 11.5845i 0.653251 + 0.819150i
\(201\) 0.861774 2.19789i 0.0607849 0.155027i
\(202\) −6.99859 6.49374i −0.492419 0.456898i
\(203\) −1.21755 1.42587i −0.0854555 0.100076i
\(204\) 3.20195 + 4.01242i 0.224182 + 0.280926i
\(205\) 0.199038 2.65598i 0.0139014 0.185502i
\(206\) −12.6542 11.7414i −0.881659 0.818060i
\(207\) −14.1226 + 6.81252i −0.981590 + 0.473503i
\(208\) 2.61435 + 0.394049i 0.181272 + 0.0273224i
\(209\) −1.31863 17.5959i −0.0912115 1.21713i
\(210\) −0.731142 + 0.726021i −0.0504536 + 0.0501002i
\(211\) 0.0541912 0.723131i 0.00373067 0.0497824i −0.995028 0.0995980i \(-0.968244\pi\)
0.998758 + 0.0498156i \(0.0158634\pi\)
\(212\) −0.410649 + 1.79917i −0.0282035 + 0.123568i
\(213\) −0.654383 + 2.87138i −0.0448376 + 0.196744i
\(214\) −13.1661 −0.900015
\(215\) −0.188100 0.325798i −0.0128283 0.0222193i
\(216\) 9.71199 + 12.1539i 0.660817 + 0.826967i
\(217\) −1.46721 + 7.59452i −0.0996008 + 0.515550i
\(218\) −0.624841 + 1.59207i −0.0423195 + 0.107828i
\(219\) −14.7658 + 10.0743i −0.997783 + 0.680756i
\(220\) 0.503254 + 0.343113i 0.0339294 + 0.0231327i
\(221\) 6.71310 + 4.57692i 0.451572 + 0.307877i
\(222\) 12.7246 + 6.12269i 0.854017 + 0.410928i
\(223\) −3.83242 + 9.76486i −0.256638 + 0.653903i −0.999886 0.0151131i \(-0.995189\pi\)
0.743248 + 0.669016i \(0.233284\pi\)
\(224\) −8.65968 10.1413i −0.578599 0.677594i
\(225\) 3.31317 + 14.4721i 0.220878 + 0.964809i
\(226\) 6.32944 + 10.9629i 0.421028 + 0.729242i
\(227\) −22.4400 −1.48939 −0.744697 0.667403i \(-0.767406\pi\)
−0.744697 + 0.667403i \(0.767406\pi\)
\(228\) −8.51617 7.89665i −0.563997 0.522969i
\(229\) −2.53434 + 11.1037i −0.167474 + 0.733752i 0.819527 + 0.573040i \(0.194236\pi\)
−0.987001 + 0.160712i \(0.948621\pi\)
\(230\) 0.0878220 1.17190i 0.00579081 0.0772730i
\(231\) 5.73832 10.7657i 0.377554 0.708329i
\(232\) −0.158564 2.11589i −0.0104102 0.138915i
\(233\) 18.0171 + 2.71564i 1.18034 + 0.177908i 0.709756 0.704448i \(-0.248805\pi\)
0.470584 + 0.882355i \(0.344043\pi\)
\(234\) 6.83714 + 4.65491i 0.446958 + 0.304301i
\(235\) 1.35725 + 1.25934i 0.0885370 + 0.0821503i
\(236\) 0.439911 5.87020i 0.0286357 0.382117i
\(237\) −1.36523 + 0.206233i −0.0886811 + 0.0133963i
\(238\) 1.96586 + 7.45109i 0.127428 + 0.482983i
\(239\) 19.8695 + 18.4362i 1.28525 + 1.19254i 0.969884 + 0.243568i \(0.0783178\pi\)
0.315366 + 0.948970i \(0.397873\pi\)
\(240\) −0.369262 + 0.0557813i −0.0238358 + 0.00360067i
\(241\) 11.6518 + 14.6109i 0.750560 + 0.941173i 0.999627 0.0273135i \(-0.00869523\pi\)
−0.249067 + 0.968486i \(0.580124\pi\)
\(242\) −3.71730 1.14663i −0.238957 0.0737084i
\(243\) 3.49369 + 15.1919i 0.224120 + 0.974561i
\(244\) 4.90856 0.314239
\(245\) 1.47812 0.567050i 0.0944339 0.0362275i
\(246\) −16.7586 11.4178i −1.06849 0.727969i
\(247\) −16.5614 7.97557i −1.05378 0.507473i
\(248\) −6.41659 + 5.95373i −0.407454 + 0.378062i
\(249\) 1.12366 + 14.9284i 0.0712088 + 0.946049i
\(250\) −2.13758 0.659357i −0.135193 0.0417014i
\(251\) 1.17853 5.16348i 0.0743882 0.325916i −0.924018 0.382348i \(-0.875115\pi\)
0.998406 + 0.0564324i \(0.0179725\pi\)
\(252\) −2.05348 7.76256i −0.129357 0.488995i
\(253\) 3.09617 + 13.5652i 0.194655 + 0.852838i
\(254\) 1.37315 18.3235i 0.0861594 1.14972i
\(255\) −1.09678 0.337917i −0.0686829 0.0211612i
\(256\) −1.27191 16.9724i −0.0794941 1.06078i
\(257\) 9.18775 11.5211i 0.573116 0.718665i −0.407806 0.913069i \(-0.633706\pi\)
0.980922 + 0.194404i \(0.0622773\pi\)
\(258\) −2.86425 0.000939963i −0.178321 5.85195e-5i
\(259\) −14.0892 16.4998i −0.875459 1.02524i
\(260\) 0.571680 0.275306i 0.0354541 0.0170738i
\(261\) 0.775425 1.97957i 0.0479976 0.122532i
\(262\) 4.56040 + 11.6197i 0.281742 + 0.717868i
\(263\) 20.0583 1.23685 0.618423 0.785846i \(-0.287772\pi\)
0.618423 + 0.785846i \(0.287772\pi\)
\(264\) 12.4364 5.99410i 0.765410 0.368911i
\(265\) −0.150731 0.384057i −0.00925934 0.0235924i
\(266\) −6.91035 16.0062i −0.423701 0.981405i
\(267\) −0.214552 2.85045i −0.0131304 0.174445i
\(268\) −1.36346 + 0.205508i −0.0832865 + 0.0125534i
\(269\) −0.718249 + 9.58436i −0.0437924 + 0.584369i 0.931542 + 0.363635i \(0.118464\pi\)
−0.975334 + 0.220734i \(0.929155\pi\)
\(270\) −1.11677 0.343274i −0.0679644 0.0208910i
\(271\) 8.86876 22.5972i 0.538739 1.37268i −0.359487 0.933150i \(-0.617048\pi\)
0.898226 0.439534i \(-0.144856\pi\)
\(272\) −1.02040 + 2.59993i −0.0618707 + 0.157644i
\(273\) −6.72361 10.7845i −0.406931 0.652709i
\(274\) −0.472357 1.20355i −0.0285361 0.0727089i
\(275\) 13.1746 0.794458
\(276\) 7.56845 + 5.15645i 0.455567 + 0.310382i
\(277\) 1.52404 1.91108i 0.0915704 0.114826i −0.733935 0.679219i \(-0.762319\pi\)
0.825506 + 0.564394i \(0.190890\pi\)
\(278\) 0.231424 0.0713849i 0.0138799 0.00428138i
\(279\) −8.37926 + 2.59068i −0.501653 + 0.155100i
\(280\) 1.72874 + 0.470343i 0.103312 + 0.0281083i
\(281\) 1.27051 + 16.9538i 0.0757924 + 1.01138i 0.897369 + 0.441281i \(0.145476\pi\)
−0.821577 + 0.570098i \(0.806905\pi\)
\(282\) 13.4691 4.15949i 0.802071 0.247694i
\(283\) 1.17869 + 15.7285i 0.0700656 + 0.934960i 0.915872 + 0.401470i \(0.131501\pi\)
−0.845806 + 0.533490i \(0.820880\pi\)
\(284\) 1.64366 0.507001i 0.0975332 0.0300850i
\(285\) 2.56759 + 0.386140i 0.152091 + 0.0228729i
\(286\) 5.38048 4.99235i 0.318154 0.295204i
\(287\) 16.4753 + 26.4454i 0.972507 + 1.56102i
\(288\) 5.51510 14.0794i 0.324981 0.829638i
\(289\) 6.16997 5.72490i 0.362939 0.336759i
\(290\) 0.0993487 + 0.124579i 0.00583396 + 0.00731555i
\(291\) 5.35787 13.6648i 0.314084 0.801046i
\(292\) 9.40635 + 4.52986i 0.550465 + 0.265090i
\(293\) 1.64606 2.85106i 0.0961638 0.166561i −0.813930 0.580963i \(-0.802676\pi\)
0.910094 + 0.414402i \(0.136009\pi\)
\(294\) 1.88415 11.9055i 0.109886 0.694341i
\(295\) 0.658026 + 1.13974i 0.0383118 + 0.0663579i
\(296\) −1.83485 24.4844i −0.106649 1.42313i
\(297\) 13.8329 0.0136187i 0.802669 0.000790236i
\(298\) 3.45520 0.520788i 0.200154 0.0301684i
\(299\) 13.8509 + 4.27245i 0.801020 + 0.247082i
\(300\) 6.35462 5.90011i 0.366884 0.340643i
\(301\) 4.02690 + 1.77537i 0.232106 + 0.102331i
\(302\) −2.80981 0.866710i −0.161686 0.0498736i
\(303\) −10.3664 + 13.0078i −0.595533 + 0.747278i
\(304\) 1.40609 6.16047i 0.0806447 0.353327i
\(305\) −0.906702 + 0.618179i −0.0519176 + 0.0353968i
\(306\) −6.40140 + 5.94745i −0.365943 + 0.339993i
\(307\) −10.5747 5.09249i −0.603528 0.290644i 0.107059 0.994253i \(-0.465857\pi\)
−0.710588 + 0.703609i \(0.751571\pi\)
\(308\) −7.12131 + 0.239060i −0.405774 + 0.0136217i
\(309\) −18.7435 + 23.5195i −1.06628 + 1.33798i
\(310\) 0.146273 0.640866i 0.00830777 0.0363987i
\(311\) −26.2689 3.95940i −1.48957 0.224517i −0.646748 0.762703i \(-0.723872\pi\)
−0.842826 + 0.538186i \(0.819110\pi\)
\(312\) 1.07005 14.3420i 0.0605798 0.811957i
\(313\) −4.28059 + 7.41421i −0.241954 + 0.419076i −0.961271 0.275606i \(-0.911121\pi\)
0.719317 + 0.694682i \(0.244455\pi\)
\(314\) 3.84642 4.82326i 0.217066 0.272192i
\(315\) 1.35692 + 1.17527i 0.0764539 + 0.0662192i
\(316\) 0.502801 + 0.630492i 0.0282847 + 0.0354679i
\(317\) 21.5610 3.24980i 1.21099 0.182527i 0.487660 0.873034i \(-0.337851\pi\)
0.723326 + 0.690507i \(0.242613\pi\)
\(318\) −3.10629 0.467155i −0.174192 0.0261967i
\(319\) −1.55878 1.06276i −0.0872750 0.0595031i
\(320\) 0.975469 + 1.22320i 0.0545304 + 0.0683789i
\(321\) 1.72167 + 22.8734i 0.0960944 + 1.27667i
\(322\) 7.26943 + 11.6685i 0.405109 + 0.650262i
\(323\) 12.1073 15.1821i 0.673669 0.844754i
\(324\) 6.66607 6.20151i 0.370337 0.344529i
\(325\) 6.86227 11.8858i 0.380650 0.659306i
\(326\) −14.1542 + 17.7488i −0.783929 + 0.983016i
\(327\) 2.84760 + 0.877346i 0.157473 + 0.0485174i
\(328\) −2.63494 + 35.1609i −0.145490 + 1.94143i
\(329\) −21.5137 2.50777i −1.18609 0.138258i
\(330\) −0.518087 + 0.898033i −0.0285197 + 0.0494351i
\(331\) 8.17954 + 20.8411i 0.449588 + 1.14553i 0.958596 + 0.284770i \(0.0919172\pi\)
−0.509008 + 0.860762i \(0.669988\pi\)
\(332\) 7.22449 4.92557i 0.396495 0.270326i
\(333\) 8.97300 22.9070i 0.491717 1.25530i
\(334\) −18.1266 12.3585i −0.991843 0.676227i
\(335\) 0.225974 0.209674i 0.0123463 0.0114557i
\(336\) 3.10001 3.07829i 0.169119 0.167935i
\(337\) −23.5706 21.8703i −1.28397 1.19135i −0.970324 0.241810i \(-0.922259\pi\)
−0.313646 0.949540i \(-0.601551\pi\)
\(338\) 1.17445 + 5.14562i 0.0638819 + 0.279885i
\(339\) 18.2182 12.4297i 0.989475 0.675088i
\(340\) 0.149157 + 0.653500i 0.00808918 + 0.0354410i
\(341\) 0.581617 + 7.76113i 0.0314963 + 0.420289i
\(342\) 12.3154 15.4638i 0.665938 0.836185i
\(343\) −10.0335 + 15.5669i −0.541758 + 0.840535i
\(344\) 2.49013 + 4.31304i 0.134259 + 0.232543i
\(345\) −2.04743 0.000671905i −0.110230 3.61742e-5i
\(346\) 7.19942 6.68009i 0.387043 0.359124i
\(347\) 8.11828 20.6850i 0.435812 1.11043i −0.529263 0.848458i \(-0.677532\pi\)
0.965075 0.261973i \(-0.0843732\pi\)
\(348\) −1.22781 + 0.185474i −0.0658174 + 0.00994247i
\(349\) −27.7675 + 8.56514i −1.48636 + 0.458482i −0.928462 0.371427i \(-0.878868\pi\)
−0.557899 + 0.829909i \(0.688392\pi\)
\(350\) 12.3030 4.25201i 0.657624 0.227280i
\(351\) 7.19290 12.4869i 0.383929 0.666499i
\(352\) −11.0866 7.55873i −0.590919 0.402882i
\(353\) 2.84433 12.4618i 0.151388 0.663276i −0.841094 0.540889i \(-0.818088\pi\)
0.992482 0.122387i \(-0.0390549\pi\)
\(354\) 10.0200 0.00328826i 0.532556 0.000174769i
\(355\) −0.239763 + 0.300653i −0.0127253 + 0.0159570i
\(356\) −1.37946 + 0.940497i −0.0731110 + 0.0498462i
\(357\) 12.6877 4.38963i 0.671504 0.232324i
\(358\) −19.6691 13.4102i −1.03955 0.708751i
\(359\) −11.4449 + 3.53028i −0.604038 + 0.186321i −0.581665 0.813429i \(-0.697598\pi\)
−0.0223730 + 0.999750i \(0.507122\pi\)
\(360\) 0.453343 + 1.98023i 0.0238933 + 0.104368i
\(361\) −12.4664 + 21.5924i −0.656126 + 1.13644i
\(362\) 7.20773 12.4842i 0.378830 0.656153i
\(363\) −1.50595 + 6.60799i −0.0790419 + 0.346830i
\(364\) −3.49361 + 6.54920i −0.183115 + 0.343271i
\(365\) −2.30801 + 0.347877i −0.120807 + 0.0182087i
\(366\) 0.627112 + 8.33154i 0.0327797 + 0.435497i
\(367\) −3.09639 + 1.49114i −0.161630 + 0.0778370i −0.512950 0.858419i \(-0.671447\pi\)
0.351320 + 0.936256i \(0.385733\pi\)
\(368\) −0.372361 + 4.96881i −0.0194107 + 0.259017i
\(369\) −17.6446 + 30.6077i −0.918541 + 1.59337i
\(370\) 1.14964 + 1.44160i 0.0597667 + 0.0749451i
\(371\) 4.07676 + 2.58351i 0.211655 + 0.134129i
\(372\) 3.75628 + 3.48303i 0.194754 + 0.180587i
\(373\) −30.4062 −1.57437 −0.787186 0.616715i \(-0.788463\pi\)
−0.787186 + 0.616715i \(0.788463\pi\)
\(374\) 3.87691 + 6.71501i 0.200470 + 0.347225i
\(375\) −0.865977 + 3.79984i −0.0447188 + 0.196223i
\(376\) −17.9677 16.6716i −0.926615 0.859773i
\(377\) −1.77072 + 0.852735i −0.0911968 + 0.0439181i
\(378\) 12.9134 4.47721i 0.664194 0.230283i
\(379\) 24.3385 + 11.7208i 1.25019 + 0.602058i 0.937562 0.347819i \(-0.113078\pi\)
0.312625 + 0.949877i \(0.398792\pi\)
\(380\) −0.554041 1.41167i −0.0284217 0.0724173i
\(381\) −32.0129 + 0.0105057i −1.64007 + 0.000538222i
\(382\) 5.44133 1.67843i 0.278402 0.0858758i
\(383\) −17.1327 + 8.25069i −0.875441 + 0.421590i −0.816957 0.576698i \(-0.804341\pi\)
−0.0584840 + 0.998288i \(0.518627\pi\)
\(384\) −5.48625 + 0.828760i −0.279969 + 0.0422925i
\(385\) 1.28533 0.941008i 0.0655064 0.0479582i
\(386\) 6.12248 26.8243i 0.311626 1.36532i
\(387\) 0.376180 + 4.97594i 0.0191223 + 0.252941i
\(388\) −8.47698 + 1.27770i −0.430353 + 0.0648653i
\(389\) 5.43458 + 23.8105i 0.275544 + 1.20724i 0.903362 + 0.428878i \(0.141091\pi\)
−0.627818 + 0.778360i \(0.716052\pi\)
\(390\) 0.540328 + 0.935166i 0.0273606 + 0.0473540i
\(391\) −7.65624 + 13.2610i −0.387193 + 0.670637i
\(392\) −19.5680 + 7.50681i −0.988331 + 0.379151i
\(393\) 19.5905 9.44223i 0.988212 0.476298i
\(394\) −1.20674 + 0.822739i −0.0607945 + 0.0414490i
\(395\) −0.172280 0.0531413i −0.00866834 0.00267383i
\(396\) −4.04427 6.99427i −0.203232 0.351475i
\(397\) −0.770589 + 0.715002i −0.0386747 + 0.0358849i −0.699273 0.714854i \(-0.746493\pi\)
0.660599 + 0.750739i \(0.270303\pi\)
\(398\) −26.6529 + 8.22133i −1.33599 + 0.412098i
\(399\) −26.9040 + 14.0984i −1.34688 + 0.705804i
\(400\) 4.50833 + 1.39063i 0.225416 + 0.0695317i
\(401\) 4.12046 1.98431i 0.205766 0.0990916i −0.328163 0.944621i \(-0.606429\pi\)
0.533929 + 0.845530i \(0.320715\pi\)
\(402\) −0.523013 2.28801i −0.0260855 0.114116i
\(403\) 7.30486 + 3.51784i 0.363881 + 0.175236i
\(404\) 9.60640 + 1.44793i 0.477936 + 0.0720373i
\(405\) −0.450334 + 1.98505i −0.0223773 + 0.0986379i
\(406\) −1.79866 0.489365i −0.0892659 0.0242868i
\(407\) −18.0378 12.2980i −0.894100 0.609587i
\(408\) 14.5196 + 4.47347i 0.718826 + 0.221470i
\(409\) −10.0118 1.50904i −0.495052 0.0746170i −0.103229 0.994658i \(-0.532917\pi\)
−0.391823 + 0.920041i \(0.628155\pi\)
\(410\) −1.32395 2.29314i −0.0653851 0.113250i
\(411\) −2.02915 + 0.978008i −0.100091 + 0.0482416i
\(412\) 17.3694 + 2.61801i 0.855728 + 0.128980i
\(413\) −14.0872 6.21074i −0.693187 0.305611i
\(414\) −7.78535 + 13.5051i −0.382629 + 0.663739i
\(415\) −0.714175 + 1.81969i −0.0350575 + 0.0893250i
\(416\) −12.5940 + 6.06496i −0.617473 + 0.297359i
\(417\) −0.154279 0.392718i −0.00755509 0.0192315i
\(418\) −10.9375 13.7151i −0.534968 0.670829i
\(419\) 12.5192 1.88697i 0.611604 0.0921845i 0.164066 0.986449i \(-0.447539\pi\)
0.447538 + 0.894265i \(0.352301\pi\)
\(420\) 0.198544 1.02951i 0.00968793 0.0502348i
\(421\) 5.21060 + 0.785372i 0.253949 + 0.0382767i 0.274783 0.961506i \(-0.411394\pi\)
−0.0208338 + 0.999783i \(0.506632\pi\)
\(422\) −0.360464 0.624343i −0.0175471 0.0303925i
\(423\) −8.98758 22.8558i −0.436991 1.11129i
\(424\) 1.99543 + 5.08428i 0.0969069 + 0.246915i
\(425\) 10.6283 + 9.86160i 0.515547 + 0.478358i
\(426\) 1.07055 + 2.72509i 0.0518683 + 0.132031i
\(427\) 4.28650 12.1007i 0.207438 0.585596i
\(428\) 11.0694 7.54700i 0.535061 0.364798i
\(429\) −9.37679 8.69467i −0.452716 0.419782i
\(430\) −0.336967 0.162275i −0.0162500 0.00782558i
\(431\) 17.9243 + 16.6313i 0.863382 + 0.801101i 0.981413 0.191909i \(-0.0614678\pi\)
−0.118031 + 0.993010i \(0.537658\pi\)
\(432\) 4.73505 + 1.45547i 0.227815 + 0.0700261i
\(433\) 0.208141 + 0.911926i 0.0100026 + 0.0438244i 0.979683 0.200553i \(-0.0642737\pi\)
−0.969680 + 0.244377i \(0.921417\pi\)
\(434\) 3.04800 + 7.05998i 0.146308 + 0.338890i
\(435\) 0.203440 0.188889i 0.00975421 0.00905654i
\(436\) −0.387262 1.69670i −0.0185465 0.0812574i
\(437\) 12.6565 32.2483i 0.605444 1.54265i
\(438\) −6.48700 + 16.5446i −0.309961 + 0.790531i
\(439\) −3.65808 + 2.49403i −0.174590 + 0.119034i −0.647462 0.762097i \(-0.724170\pi\)
0.472872 + 0.881131i \(0.343217\pi\)
\(440\) 1.80269 0.0859398
\(441\) −20.9297 1.71650i −0.996654 0.0817379i
\(442\) 8.07750 0.384208
\(443\) −15.1096 + 10.3016i −0.717881 + 0.489443i −0.866327 0.499478i \(-0.833525\pi\)
0.148446 + 0.988920i \(0.452573\pi\)
\(444\) −14.2078 + 2.14626i −0.674274 + 0.101857i
\(445\) 0.136366 0.347454i 0.00646435 0.0164709i
\(446\) 2.32063 + 10.1673i 0.109885 + 0.481437i
\(447\) −1.35659 5.93461i −0.0641643 0.280698i
\(448\) −17.6604 4.80489i −0.834374 0.227010i
\(449\) 0.402939 + 1.76539i 0.0190158 + 0.0833139i 0.983545 0.180661i \(-0.0578236\pi\)
−0.964530 + 0.263975i \(0.914966\pi\)
\(450\) 10.8264 + 10.0322i 0.510361 + 0.472923i
\(451\) 22.9817 + 21.3239i 1.08217 + 1.00410i
\(452\) −11.6056 5.58897i −0.545882 0.262883i
\(453\) −1.13831 + 4.99481i −0.0534824 + 0.234676i
\(454\) −18.4326 + 12.5672i −0.865087 + 0.589806i
\(455\) −0.179463 1.64974i −0.00841337 0.0773409i
\(456\) −33.9907 5.11186i −1.59176 0.239385i
\(457\) −3.45387 3.20473i −0.161565 0.149911i 0.595247 0.803542i \(-0.297054\pi\)
−0.756813 + 0.653632i \(0.773245\pi\)
\(458\) 4.13668 + 10.5401i 0.193295 + 0.492506i
\(459\) 11.1696 + 10.3434i 0.521351 + 0.482789i
\(460\) 0.597917 + 1.03562i 0.0278780 + 0.0482861i
\(461\) 10.0601 + 1.51632i 0.468547 + 0.0706221i 0.379073 0.925367i \(-0.376243\pi\)
0.0894748 + 0.995989i \(0.471481\pi\)
\(462\) −1.31558 12.0568i −0.0612062 0.560933i
\(463\) −7.08319 + 1.06762i −0.329184 + 0.0496164i −0.311555 0.950228i \(-0.600850\pi\)
−0.0176287 + 0.999845i \(0.505612\pi\)
\(464\) −0.421234 0.528211i −0.0195553 0.0245216i
\(465\) −1.13250 0.170317i −0.0525185 0.00789827i
\(466\) 16.3205 7.85952i 0.756030 0.364085i
\(467\) 2.43591 6.20659i 0.112720 0.287207i −0.863370 0.504571i \(-0.831651\pi\)
0.976091 + 0.217364i \(0.0697460\pi\)
\(468\) −8.41661 + 0.00552416i −0.389058 + 0.000255355i
\(469\) −0.684041 + 3.54070i −0.0315861 + 0.163495i
\(470\) 1.82014 + 0.274342i 0.0839569 + 0.0126545i
\(471\) −8.88242 6.05166i −0.409280 0.278846i
\(472\) −8.71120 15.0882i −0.400965 0.694492i
\(473\) 4.37871 + 0.659985i 0.201333 + 0.0303461i
\(474\) −1.00593 + 0.933979i −0.0462038 + 0.0428991i
\(475\) −27.1022 18.4780i −1.24353 0.847827i
\(476\) −5.92388 5.13767i −0.271521 0.235485i
\(477\) −0.405391 + 5.45763i −0.0185616 + 0.249888i
\(478\) 26.6461 + 4.01625i 1.21876 + 0.183699i
\(479\) −26.5683 12.7946i −1.21394 0.584601i −0.286320 0.958134i \(-0.592432\pi\)
−0.927617 + 0.373533i \(0.878146\pi\)
\(480\) 1.44694 1.34345i 0.0660435 0.0613198i
\(481\) −20.4903 + 9.86761i −0.934277 + 0.449924i
\(482\) 17.7537 + 5.47628i 0.808657 + 0.249438i
\(483\) 19.3211 14.1550i 0.879142 0.644075i
\(484\) 3.78260 1.16678i 0.171936 0.0530353i
\(485\) 1.40494 1.30359i 0.0637951 0.0591932i
\(486\) 11.3778 + 10.5223i 0.516106 + 0.477303i
\(487\) −0.00730478 0.00225323i −0.000331011 0.000102103i 0.294590 0.955624i \(-0.404817\pi\)
−0.294921 + 0.955522i \(0.595293\pi\)
\(488\) 12.0033 8.18368i 0.543362 0.370458i
\(489\) 32.6859 + 22.2691i 1.47811 + 1.00704i
\(490\) 0.896592 1.29359i 0.0405039 0.0584382i
\(491\) −15.2281 + 26.3759i −0.687236 + 1.19033i 0.285493 + 0.958381i \(0.407843\pi\)
−0.972729 + 0.231947i \(0.925491\pi\)
\(492\) 20.6347 0.00677168i 0.930282 0.000305291i
\(493\) −0.462000 2.02415i −0.0208074 0.0911633i
\(494\) −18.0705 + 2.72369i −0.813029 + 0.122544i
\(495\) 1.62790 + 0.782640i 0.0731687 + 0.0351770i
\(496\) −0.620193 + 2.71724i −0.0278475 + 0.122008i
\(497\) 0.185481 4.49474i 0.00831995 0.201617i
\(498\) 9.28341 + 11.6332i 0.415999 + 0.521296i
\(499\) 3.04314 1.46550i 0.136230 0.0656048i −0.364527 0.931193i \(-0.618769\pi\)
0.500757 + 0.865588i \(0.333055\pi\)
\(500\) 2.17513 0.670939i 0.0972749 0.0300053i
\(501\) −19.1001 + 33.1074i −0.853328 + 1.47913i
\(502\) −1.92366 4.90140i −0.0858571 0.218760i
\(503\) −37.5019 18.0600i −1.67213 0.805254i −0.997763 0.0668554i \(-0.978703\pi\)
−0.674364 0.738399i \(-0.735582\pi\)
\(504\) −17.9635 15.5587i −0.800156 0.693040i
\(505\) −1.95683 + 0.942359i −0.0870777 + 0.0419344i
\(506\) 10.1402 + 9.40877i 0.450789 + 0.418271i
\(507\) 8.78590 2.71325i 0.390195 0.120500i
\(508\) 9.34882 + 16.1926i 0.414787 + 0.718432i
\(509\) −2.04534 −0.0906582 −0.0453291 0.998972i \(-0.514434\pi\)
−0.0453291 + 0.998972i \(0.514434\pi\)
\(510\) −1.09016 + 0.336662i −0.0482731 + 0.0149076i
\(511\) 19.3814 19.2330i 0.857383 0.850819i
\(512\) −6.55530 8.22008i −0.289706 0.363280i
\(513\) −28.4756 19.3733i −1.25723 0.855352i
\(514\) 1.09480 14.6091i 0.0482895 0.644379i
\(515\) −3.53815 + 1.70388i −0.155910 + 0.0750821i
\(516\) 2.40759 1.64263i 0.105988 0.0723126i
\(517\) −21.5502 + 3.24818i −0.947779 + 0.142855i
\(518\) −20.8136 5.66279i −0.914495 0.248809i
\(519\) −12.5467 11.6340i −0.550741 0.510677i
\(520\) 0.938970 1.62634i 0.0411766 0.0713199i
\(521\) −12.2358 + 21.1930i −0.536058 + 0.928480i 0.463053 + 0.886331i \(0.346754\pi\)
−0.999111 + 0.0421498i \(0.986579\pi\)
\(522\) −0.471678 2.06032i −0.0206448 0.0901778i
\(523\) −2.59243 + 0.799659i −0.113359 + 0.0349667i −0.350916 0.936407i \(-0.614130\pi\)
0.237557 + 0.971374i \(0.423653\pi\)
\(524\) −10.4948 7.15521i −0.458466 0.312577i
\(525\) −8.99583 20.8180i −0.392610 0.908571i
\(526\) 16.4762 11.2333i 0.718398 0.489796i
\(527\) −5.34025 + 6.69646i −0.232625 + 0.291703i
\(528\) 2.19666 3.80762i 0.0955976 0.165705i
\(529\) −0.960763 + 4.20938i −0.0417723 + 0.183016i
\(530\) −0.338898 0.231057i −0.0147208 0.0100365i
\(531\) −1.31598 17.4073i −0.0571088 0.755411i
\(532\) 14.9849 + 9.49617i 0.649679 + 0.411711i
\(533\) 31.2084 9.62653i 1.35179 0.416971i
\(534\) −1.77259 2.22126i −0.0767074 0.0961233i
\(535\) −1.09426 + 2.78814i −0.0473092 + 0.120542i
\(536\) −2.99153 + 2.77574i −0.129215 + 0.119894i
\(537\) −20.7255 + 35.9248i −0.894369 + 1.55027i
\(538\) 4.77759 + 8.27503i 0.205976 + 0.356762i
\(539\) −5.62948 + 17.7644i −0.242479 + 0.765168i
\(540\) 1.13570 0.351541i 0.0488726 0.0151279i
\(541\) −1.52309 20.3242i −0.0654828 0.873808i −0.929140 0.369728i \(-0.879451\pi\)
0.863657 0.504080i \(-0.168168\pi\)
\(542\) −5.37025 23.5286i −0.230672 1.01064i
\(543\) −22.6312 10.8895i −0.971199 0.467312i
\(544\) −3.28591 14.3965i −0.140882 0.617246i
\(545\) 0.285215 + 0.264641i 0.0122173 + 0.0113360i
\(546\) −11.5626 5.09316i −0.494834 0.217967i
\(547\) 31.9326 29.6291i 1.36534 1.26685i 0.434861 0.900498i \(-0.356798\pi\)
0.930477 0.366350i \(-0.119393\pi\)
\(548\) 1.08703 + 0.741122i 0.0464355 + 0.0316592i
\(549\) 14.3924 2.17896i 0.614251 0.0929959i
\(550\) 10.8219 7.37822i 0.461446 0.314608i
\(551\) 1.71609 + 4.37252i 0.0731078 + 0.186276i
\(552\) 27.1046 0.00889493i 1.15365 0.000378593i
\(553\) 1.99339 0.688930i 0.0847675 0.0292963i
\(554\) 0.181602 2.42331i 0.00771553 0.102957i
\(555\) 2.35415 2.18577i 0.0999282 0.0927808i
\(556\) −0.153652 + 0.192673i −0.00651628 + 0.00817116i
\(557\) −2.17427 + 3.76595i −0.0921270 + 0.159569i −0.908406 0.418089i \(-0.862700\pi\)
0.816279 + 0.577658i \(0.196033\pi\)
\(558\) −5.43201 + 6.82071i −0.229955 + 0.288744i
\(559\) 2.87617 3.60660i 0.121649 0.152543i
\(560\) 0.539165 0.186339i 0.0227839 0.00787428i
\(561\) 11.1590 7.61345i 0.471134 0.321440i
\(562\) 10.5383 + 13.2147i 0.444533 + 0.557426i
\(563\) 24.3969 + 16.6335i 1.02821 + 0.701020i 0.955094 0.296303i \(-0.0957539\pi\)
0.0731142 + 0.997324i \(0.476706\pi\)
\(564\) −8.93986 + 11.2178i −0.376436 + 0.472354i
\(565\) 2.84764 0.429212i 0.119801 0.0180571i
\(566\) 9.77668 + 12.2596i 0.410944 + 0.515308i
\(567\) −9.46688 21.8490i −0.397572 0.917571i
\(568\) 3.17407 3.98015i 0.133181 0.167004i
\(569\) 12.7047 22.0051i 0.532607 0.922502i −0.466668 0.884432i \(-0.654546\pi\)
0.999275 0.0380698i \(-0.0121209\pi\)
\(570\) 2.32532 1.12075i 0.0973969 0.0469432i
\(571\) 43.0593 + 6.49015i 1.80198 + 0.271604i 0.962400 0.271636i \(-0.0875646\pi\)
0.839577 + 0.543240i \(0.182803\pi\)
\(572\) −1.66196 + 7.28151i −0.0694899 + 0.304455i
\(573\) −3.62747 9.23372i −0.151540 0.385744i
\(574\) 28.3435 + 12.4960i 1.18303 + 0.521573i
\(575\) 23.3043 + 11.2227i 0.971855 + 0.468021i
\(576\) −4.63123 20.2295i −0.192968 0.842897i
\(577\) −17.4493 + 11.8967i −0.726422 + 0.495266i −0.869183 0.494491i \(-0.835354\pi\)
0.142761 + 0.989757i \(0.454402\pi\)
\(578\) 1.86200 8.15794i 0.0774488 0.339325i
\(579\) −47.4025 7.12887i −1.96998 0.296266i
\(580\) −0.154939 0.0477922i −0.00643348 0.00198446i
\(581\) −5.83375 22.1114i −0.242025 0.917335i
\(582\) −3.25171 14.2251i −0.134788 0.589651i
\(583\) 4.64060 + 1.43144i 0.192194 + 0.0592840i
\(584\) 30.5543 4.60532i 1.26435 0.190569i
\(585\) 1.55401 1.06100i 0.0642503 0.0438669i
\(586\) −0.244585 3.26376i −0.0101037 0.134825i
\(587\) −7.41474 12.8427i −0.306039 0.530075i 0.671453 0.741047i \(-0.265671\pi\)
−0.977492 + 0.210972i \(0.932337\pi\)
\(588\) 5.24030 + 11.0896i 0.216106 + 0.457327i
\(589\) 9.68886 16.7816i 0.399223 0.691474i
\(590\) 1.17881 + 0.567683i 0.0485307 + 0.0233712i
\(591\) 1.58714 + 1.98888i 0.0652863 + 0.0818114i
\(592\) −4.87440 6.11231i −0.200337 0.251214i
\(593\) −15.7171 + 14.5833i −0.645423 + 0.598865i −0.933428 0.358764i \(-0.883198\pi\)
0.288005 + 0.957629i \(0.407008\pi\)
\(594\) 11.3550 7.75811i 0.465902 0.318319i
\(595\) 1.74128 + 0.202975i 0.0713856 + 0.00832115i
\(596\) −2.60645 + 2.41843i −0.106764 + 0.0990627i
\(597\) 17.7682 + 45.2289i 0.727203 + 1.85110i
\(598\) 13.7701 4.24753i 0.563103 0.173694i
\(599\) 2.11239 + 28.1878i 0.0863098 + 1.15172i 0.857279 + 0.514852i \(0.172153\pi\)
−0.770969 + 0.636872i \(0.780228\pi\)
\(600\) 5.70259 25.0225i 0.232807 1.02154i
\(601\) −0.364631 4.86566i −0.0148736 0.198474i −0.999690 0.0248781i \(-0.992080\pi\)
0.984817 0.173596i \(-0.0555388\pi\)
\(602\) 4.30204 0.796878i 0.175338 0.0324783i
\(603\) −3.90656 + 1.20782i −0.159088 + 0.0491864i
\(604\) 2.85916 0.881935i 0.116338 0.0358854i
\(605\) −0.551772 + 0.691901i −0.0224327 + 0.0281298i
\(606\) −1.23034 + 16.4904i −0.0499792 + 0.669876i
\(607\) 10.1561 0.412222 0.206111 0.978529i \(-0.433919\pi\)
0.206111 + 0.978529i \(0.433919\pi\)
\(608\) 12.2055 + 31.0990i 0.494996 + 1.26123i
\(609\) −0.614970 + 3.18880i −0.0249198 + 0.129217i
\(610\) −0.398581 + 1.01557i −0.0161381 + 0.0411192i
\(611\) −8.29449 + 21.1340i −0.335559 + 0.854990i
\(612\) 1.97282 8.66972i 0.0797466 0.350453i
\(613\) 2.49221 33.2562i 0.100659 1.34321i −0.686803 0.726843i \(-0.740987\pi\)
0.787463 0.616362i \(-0.211394\pi\)
\(614\) −11.5382 + 1.73911i −0.465644 + 0.0701846i
\(615\) −3.81075 + 2.59996i −0.153664 + 0.104840i
\(616\) −17.0157 + 12.4574i −0.685580 + 0.501923i
\(617\) −3.47685 8.85888i −0.139973 0.356645i 0.843648 0.536897i \(-0.180404\pi\)
−0.983620 + 0.180252i \(0.942309\pi\)
\(618\) −2.22459 + 29.8164i −0.0894860 + 1.19939i
\(619\) 37.4855 1.50667 0.753335 0.657637i \(-0.228444\pi\)
0.753335 + 0.657637i \(0.228444\pi\)
\(620\) 0.244375 + 0.622656i 0.00981432 + 0.0250065i
\(621\) 24.4804 + 11.7595i 0.982365 + 0.471891i
\(622\) −23.7952 + 11.4592i −0.954101 + 0.459471i
\(623\) 1.11391 + 4.22198i 0.0446277 + 0.169150i
\(624\) −2.29096 3.96506i −0.0917120 0.158730i
\(625\) 15.1105 18.9480i 0.604420 0.757918i
\(626\) 0.636047 + 8.48745i 0.0254215 + 0.339227i
\(627\) −22.3970 + 20.7951i −0.894451 + 0.830476i
\(628\) −0.469122 + 6.26000i −0.0187200 + 0.249801i
\(629\) −5.34613 23.4229i −0.213164 0.933933i
\(630\) 1.77280 + 0.205469i 0.0706299 + 0.00818608i
\(631\) 6.62163 29.0113i 0.263603 1.15492i −0.653707 0.756747i \(-0.726787\pi\)
0.917310 0.398173i \(-0.130356\pi\)
\(632\) 2.28071 + 0.703504i 0.0907216 + 0.0279839i
\(633\) −1.03753 + 0.707877i −0.0412382 + 0.0281356i
\(634\) 15.8906 14.7443i 0.631097 0.585572i
\(635\) −3.76618 1.81370i −0.149456 0.0719743i
\(636\) 2.87940 1.38781i 0.114176 0.0550302i
\(637\) 13.0944 + 14.3318i 0.518819 + 0.567845i
\(638\) −1.87560 −0.0742555
\(639\) 4.59430 2.21621i 0.181748 0.0876720i
\(640\) −0.692317 0.213551i −0.0273662 0.00844136i
\(641\) 16.4759 + 20.6601i 0.650759 + 0.816026i 0.992302 0.123840i \(-0.0395210\pi\)
−0.341543 + 0.939866i \(0.610950\pi\)
\(642\) 14.2241 + 17.8245i 0.561381 + 0.703476i
\(643\) 30.3128 + 28.1261i 1.19542 + 1.10919i 0.991488 + 0.130202i \(0.0415624\pi\)
0.203931 + 0.978985i \(0.434628\pi\)
\(644\) −12.8004 5.64340i −0.504406 0.222381i
\(645\) −0.237856 + 0.606632i −0.00936557 + 0.0238861i
\(646\) 1.44269 19.2514i 0.0567619 0.757435i
\(647\) 18.6132 + 17.2705i 0.731759 + 0.678974i 0.955272 0.295727i \(-0.0955620\pi\)
−0.223513 + 0.974701i \(0.571752\pi\)
\(648\) 5.96169 26.2788i 0.234197 1.03233i
\(649\) −15.3180 2.30881i −0.601283 0.0906289i
\(650\) −1.01965 13.6063i −0.0399941 0.533685i
\(651\) 11.8667 6.21848i 0.465093 0.243721i
\(652\) 1.72629 23.0358i 0.0676068 0.902151i
\(653\) 4.06907 17.8278i 0.159235 0.697655i −0.830769 0.556617i \(-0.812099\pi\)
0.990004 0.141038i \(-0.0450439\pi\)
\(654\) 2.83042 0.874087i 0.110678 0.0341795i
\(655\) 2.83969 0.110956
\(656\) 5.61347 + 9.72282i 0.219169 + 0.379612i
\(657\) 29.5911 + 9.10640i 1.15446 + 0.355274i
\(658\) −19.0762 + 9.98849i −0.743669 + 0.389392i
\(659\) −13.9685 + 35.5912i −0.544136 + 1.38644i 0.349201 + 0.937048i \(0.386453\pi\)
−0.893337 + 0.449388i \(0.851642\pi\)
\(660\) −0.0791837 1.05200i −0.00308222 0.0409490i
\(661\) 18.8469 + 12.8496i 0.733059 + 0.499791i 0.871388 0.490595i \(-0.163221\pi\)
−0.138328 + 0.990386i \(0.544173\pi\)
\(662\) 18.3906 + 12.5385i 0.714770 + 0.487322i
\(663\) −1.05626 14.0330i −0.0410218 0.544998i
\(664\) 9.45451 24.0897i 0.366906 0.934862i
\(665\) −3.96393 + 0.133068i −0.153714 + 0.00516015i
\(666\) −5.45812 23.8415i −0.211498 0.923838i
\(667\) −1.85199 3.20774i −0.0717093 0.124204i
\(668\) 22.3241 0.863744
\(669\) 17.3602 5.36116i 0.671185 0.207275i
\(670\) 0.0681954 0.298783i 0.00263462 0.0115430i
\(671\) 0.965296 12.8810i 0.0372648 0.497265i
\(672\) −4.37389 + 22.6799i −0.168726 + 0.874896i
\(673\) 2.44753 + 32.6600i 0.0943452 + 1.25895i 0.820592 + 0.571515i \(0.193644\pi\)
−0.726247 + 0.687434i \(0.758737\pi\)
\(674\) −31.6094 4.76435i −1.21755 0.183516i
\(675\) 16.0132 20.1206i 0.616349 0.774440i
\(676\) −3.93698 3.65298i −0.151422 0.140499i
\(677\) 2.46027 32.8300i 0.0945559 1.26176i −0.724995 0.688754i \(-0.758158\pi\)
0.819551 0.573006i \(-0.194223\pi\)
\(678\) 8.00370 20.4128i 0.307380 0.783949i
\(679\) −4.25286 + 22.0135i −0.163210 + 0.844799i
\(680\) 1.45428 + 1.34937i 0.0557689 + 0.0517460i
\(681\) 24.2433 + 30.3796i 0.929004 + 1.16415i
\(682\) 4.82425 + 6.04942i 0.184730 + 0.231644i
\(683\) 18.4078 + 5.67807i 0.704357 + 0.217265i 0.626185 0.779675i \(-0.284616\pi\)
0.0781718 + 0.996940i \(0.475092\pi\)
\(684\) −1.49009 + 20.0606i −0.0569751 + 0.767035i
\(685\) −0.294130 −0.0112381
\(686\) 0.476297 + 18.4061i 0.0181851 + 0.702747i
\(687\) 17.7704 8.56494i 0.677981 0.326773i
\(688\) 1.42872 + 0.688037i 0.0544696 + 0.0262312i
\(689\) 3.70857 3.44105i 0.141285 0.131094i
\(690\) −1.68142 + 1.14718i −0.0640106 + 0.0436725i
\(691\) 7.13695 + 2.20146i 0.271502 + 0.0837473i 0.427517 0.904007i \(-0.359388\pi\)
−0.156015 + 0.987755i \(0.549865\pi\)
\(692\) −2.22380 + 9.74313i −0.0845364 + 0.370378i
\(693\) −20.7742 + 3.86217i −0.789147 + 0.146712i
\(694\) −4.91582 21.5376i −0.186602 0.817556i
\(695\) 0.00411725 0.0549409i 0.000156176 0.00208403i
\(696\) −2.69322 + 2.50058i −0.102086 + 0.0947844i
\(697\) 2.57830 + 34.4051i 0.0976602 + 1.30318i
\(698\) −18.0120 + 22.5863i −0.681764 + 0.854905i
\(699\) −15.7885 27.3257i −0.597175 1.03355i
\(700\) −7.90647 + 10.6272i −0.298837 + 0.401669i
\(701\) −18.8824 + 9.09331i −0.713180 + 0.343449i −0.755044 0.655674i \(-0.772385\pi\)
0.0418641 + 0.999123i \(0.486670\pi\)
\(702\) −1.08467 14.2852i −0.0409383 0.539161i
\(703\) 19.8581 + 50.5976i 0.748962 + 1.90832i
\(704\) −18.4158 −0.694071
\(705\) 0.238602 3.19801i 0.00898627 0.120444i
\(706\) −4.64266 11.8293i −0.174729 0.445202i
\(707\) 11.9585 22.4175i 0.449744 0.843098i
\(708\) −8.42244 + 5.74637i −0.316535 + 0.215962i
\(709\) −18.8044 + 2.83431i −0.706215 + 0.106445i −0.492323 0.870413i \(-0.663852\pi\)
−0.213892 + 0.976857i \(0.568614\pi\)
\(710\) −0.0285698 + 0.381237i −0.00107220 + 0.0143076i
\(711\) 1.75414 + 1.62546i 0.0657854 + 0.0609596i
\(712\) −1.80526 + 4.59972i −0.0676549 + 0.172382i
\(713\) −5.58250 + 14.2240i −0.209066 + 0.532692i
\(714\) 7.96359 10.7113i 0.298030 0.400859i
\(715\) −0.610031 1.55433i −0.0228139 0.0581288i
\(716\) 24.2238 0.905287
\(717\) 3.49303 46.8174i 0.130449 1.74843i
\(718\) −7.42397 + 9.30936i −0.277060 + 0.347422i
\(719\) −22.9049 + 7.06523i −0.854210 + 0.263489i −0.690779 0.723066i \(-0.742732\pi\)
−0.163431 + 0.986555i \(0.552256\pi\)
\(720\) 0.474454 + 0.439650i 0.0176819 + 0.0163848i
\(721\) 21.6221 40.5333i 0.805251 1.50954i
\(722\) 1.85236 + 24.7181i 0.0689378 + 0.919911i
\(723\) 7.19236 31.5595i 0.267487 1.17371i
\(724\) 1.09619 + 14.6277i 0.0407397 + 0.543634i
\(725\) −3.35131 + 1.03374i −0.124465 + 0.0383922i
\(726\) 2.46369 + 6.27132i 0.0914360 + 0.232750i
\(727\) 13.5462 12.5690i 0.502401 0.466160i −0.387790 0.921748i \(-0.626761\pi\)
0.890191 + 0.455588i \(0.150571\pi\)
\(728\) 2.37580 + 21.8398i 0.0880531 + 0.809438i
\(729\) 16.7926 21.1426i 0.621949 0.783058i
\(730\) −1.70102 + 1.57832i −0.0629576 + 0.0584161i
\(731\) 3.03840 + 3.81003i 0.112379 + 0.140919i
\(732\) −5.30302 6.64530i −0.196005 0.245617i
\(733\) 16.1629 + 7.78366i 0.596992 + 0.287496i 0.707875 0.706337i \(-0.249654\pi\)
−0.110884 + 0.993833i \(0.535368\pi\)
\(734\) −1.70834 + 2.95894i −0.0630561 + 0.109216i
\(735\) −2.36459 1.38849i −0.0872191 0.0512153i
\(736\) −13.1720 22.8146i −0.485527 0.840958i
\(737\) 0.271160 + 3.61838i 0.00998832 + 0.133285i
\(738\) 2.64775 + 35.0233i 0.0974652 + 1.28923i
\(739\) 7.37401 1.11145i 0.271257 0.0408855i −0.0120050 0.999928i \(-0.503821\pi\)
0.283262 + 0.959042i \(0.408583\pi\)
\(740\) −1.79291 0.553038i −0.0659085 0.0203301i
\(741\) 7.09486 + 31.0377i 0.260636 + 1.14020i
\(742\) 4.79559 0.160986i 0.176052 0.00590999i
\(743\) −30.7640 9.48944i −1.12862 0.348134i −0.326442 0.945217i \(-0.605850\pi\)
−0.802179 + 0.597083i \(0.796326\pi\)
\(744\) 14.9925 + 2.25472i 0.549651 + 0.0826621i
\(745\) 0.176884 0.774981i 0.00648054 0.0283931i
\(746\) −24.9762 + 17.0285i −0.914445 + 0.623458i
\(747\) 18.9964 17.6493i 0.695041 0.645753i
\(748\) −7.10868 3.42336i −0.259919 0.125170i
\(749\) −8.93852 33.8792i −0.326606 1.23792i
\(750\) 1.41671 + 3.60624i 0.0517309 + 0.131681i
\(751\) 3.30768 14.4919i 0.120699 0.528817i −0.878039 0.478589i \(-0.841148\pi\)
0.998738 0.0502273i \(-0.0159946\pi\)
\(752\) −7.71732 1.16320i −0.281422 0.0424175i
\(753\) −8.26365 + 3.98290i −0.301144 + 0.145145i
\(754\) −0.976945 + 1.69212i −0.0355782 + 0.0616233i
\(755\) −0.417070 + 0.522989i −0.0151787 + 0.0190335i
\(756\) −8.29058 + 11.1664i −0.301526 + 0.406118i
\(757\) 25.0797 + 31.4489i 0.911537 + 1.14303i 0.989276 + 0.146057i \(0.0466583\pi\)
−0.0777396 + 0.996974i \(0.524770\pi\)
\(758\) 26.5562 4.00270i 0.964565 0.145385i
\(759\) 15.0198 18.8470i 0.545186 0.684102i
\(760\) −3.70841 2.52835i −0.134518 0.0917130i
\(761\) −9.64424 12.0935i −0.349604 0.438389i 0.575674 0.817679i \(-0.304740\pi\)
−0.925278 + 0.379290i \(0.876168\pi\)
\(762\) −26.2901 + 17.9369i −0.952391 + 0.649787i
\(763\) −4.52095 0.526990i −0.163669 0.0190783i
\(764\) −3.61271 + 4.53020i −0.130703 + 0.163897i
\(765\) 0.727438 + 1.84991i 0.0263006 + 0.0668837i
\(766\) −9.45249 + 16.3722i −0.341532 + 0.591551i
\(767\) −10.0617 + 12.6169i −0.363306 + 0.455571i
\(768\) −21.6034 + 20.0582i −0.779546 + 0.723790i
\(769\) −0.0470133 + 0.627350i −0.00169534 + 0.0226228i −0.997987 0.0634139i \(-0.979801\pi\)
0.996292 + 0.0860367i \(0.0274202\pi\)
\(770\) 0.528797 1.49279i 0.0190565 0.0537964i
\(771\) −25.5235 + 0.00837605i −0.919207 + 0.000301656i
\(772\) 10.2286 + 26.0622i 0.368137 + 0.937998i</