Properties

Label 300.2.n.a.11.20
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.20
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.654964 + 1.25340i) q^{2} +(1.65603 - 0.507508i) q^{3} +(-1.14204 - 1.64187i) q^{4} +(-1.89530 + 1.18653i) q^{5} +(-0.448527 + 2.40807i) q^{6} -4.72716i q^{7} +(2.80592 - 0.356077i) q^{8} +(2.48487 - 1.68090i) q^{9} +O(q^{10})\) \(q+(-0.654964 + 1.25340i) q^{2} +(1.65603 - 0.507508i) q^{3} +(-1.14204 - 1.64187i) q^{4} +(-1.89530 + 1.18653i) q^{5} +(-0.448527 + 2.40807i) q^{6} -4.72716i q^{7} +(2.80592 - 0.356077i) q^{8} +(2.48487 - 1.68090i) q^{9} +(-0.245847 - 3.15271i) q^{10} +(2.39258 - 1.73831i) q^{11} +(-2.72452 - 2.13939i) q^{12} +(3.16282 + 2.29792i) q^{13} +(5.92505 + 3.09612i) q^{14} +(-2.53650 + 2.92680i) q^{15} +(-1.39147 + 3.75017i) q^{16} +(0.528610 - 0.171756i) q^{17} +(0.479344 + 4.21547i) q^{18} +(1.14860 - 0.373201i) q^{19} +(4.11264 + 1.75676i) q^{20} +(-2.39908 - 7.82833i) q^{21} +(0.611754 + 4.13741i) q^{22} +(-0.664017 + 0.482436i) q^{23} +(4.46598 - 2.01370i) q^{24} +(2.18430 - 4.49765i) q^{25} +(-4.95175 + 2.45923i) q^{26} +(3.26195 - 4.04471i) q^{27} +(-7.76139 + 5.39863i) q^{28} +(-6.07319 - 1.97330i) q^{29} +(-2.00716 - 5.09621i) q^{30} +(-4.42801 + 1.43875i) q^{31} +(-3.78912 - 4.20030i) q^{32} +(3.07998 - 4.09296i) q^{33} +(-0.130941 + 0.775057i) q^{34} +(5.60891 + 8.95938i) q^{35} +(-5.59765 - 2.16017i) q^{36} +(3.51289 + 2.55226i) q^{37} +(-0.284517 + 1.68409i) q^{38} +(6.40393 + 2.20027i) q^{39} +(-4.89556 + 4.00418i) q^{40} +(1.90569 - 2.62296i) q^{41} +(11.3834 + 2.12026i) q^{42} +9.83201i q^{43} +(-5.58652 - 1.94308i) q^{44} +(-2.71514 + 6.13417i) q^{45} +(-0.169781 - 1.14826i) q^{46} +(1.36526 - 4.20183i) q^{47} +(-0.401072 + 6.91658i) q^{48} -15.3461 q^{49} +(4.20673 + 5.68361i) q^{50} +(0.788227 - 0.552707i) q^{51} +(0.160810 - 7.81726i) q^{52} +(7.98997 + 2.59610i) q^{53} +(2.93320 + 6.73768i) q^{54} +(-2.47210 + 6.13349i) q^{55} +(-1.68324 - 13.2641i) q^{56} +(1.71271 - 1.20095i) q^{57} +(6.45106 - 6.31972i) q^{58} +(-0.804579 - 0.584561i) q^{59} +(7.70222 + 0.822056i) q^{60} +(-4.40480 + 3.20028i) q^{61} +(1.09685 - 6.49241i) q^{62} +(-7.94588 - 11.7464i) q^{63} +(7.74642 - 1.99825i) q^{64} +(-8.72102 - 0.602474i) q^{65} +(3.11285 + 6.54120i) q^{66} +(0.581557 - 0.188959i) q^{67} +(-0.885697 - 0.671757i) q^{68} +(-0.854791 + 1.13592i) q^{69} +(-14.9034 + 1.16216i) q^{70} +(-4.78758 + 14.7347i) q^{71} +(6.37383 - 5.60128i) q^{72} +(8.18277 - 5.94513i) q^{73} +(-5.49983 + 2.73143i) q^{74} +(1.33468 - 8.55679i) q^{75} +(-1.92450 - 1.45963i) q^{76} +(-8.21730 - 11.3101i) q^{77} +(-6.95217 + 6.58562i) q^{78} +(-14.2920 - 4.64377i) q^{79} +(-1.81243 - 8.75871i) q^{80} +(3.34916 - 8.35363i) q^{81} +(2.03947 + 4.10654i) q^{82} +(0.119077 + 0.366481i) q^{83} +(-10.1132 + 12.8793i) q^{84} +(-0.798081 + 0.952740i) q^{85} +(-12.3235 - 6.43961i) q^{86} +(-11.0588 - 0.185647i) q^{87} +(6.09444 - 5.72952i) q^{88} +(5.82238 + 8.01381i) q^{89} +(-5.91028 - 7.42082i) q^{90} +(10.8626 - 14.9511i) q^{91} +(1.55043 + 0.539265i) q^{92} +(-6.60273 + 4.62986i) q^{93} +(4.37240 + 4.46327i) q^{94} +(-1.73412 + 2.07017i) q^{95} +(-8.40659 - 5.03282i) q^{96} +(-4.82234 + 14.8416i) q^{97} +(10.0511 - 19.2348i) q^{98} +(3.02333 - 8.34118i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.654964 + 1.25340i −0.463130 + 0.886291i
\(3\) 1.65603 0.507508i 0.956109 0.293010i
\(4\) −1.14204 1.64187i −0.571022 0.820935i
\(5\) −1.89530 + 1.18653i −0.847603 + 0.530631i
\(6\) −0.448527 + 2.40807i −0.183110 + 0.983092i
\(7\) 4.72716i 1.78670i −0.449361 0.893350i \(-0.648348\pi\)
0.449361 0.893350i \(-0.351652\pi\)
\(8\) 2.80592 0.356077i 0.992044 0.125892i
\(9\) 2.48487 1.68090i 0.828290 0.560299i
\(10\) −0.245847 3.15271i −0.0777436 0.996973i
\(11\) 2.39258 1.73831i 0.721391 0.524122i −0.165437 0.986220i \(-0.552903\pi\)
0.886828 + 0.462099i \(0.152903\pi\)
\(12\) −2.72452 2.13939i −0.786502 0.617588i
\(13\) 3.16282 + 2.29792i 0.877207 + 0.637328i 0.932511 0.361141i \(-0.117613\pi\)
−0.0553039 + 0.998470i \(0.517613\pi\)
\(14\) 5.92505 + 3.09612i 1.58354 + 0.827474i
\(15\) −2.53650 + 2.92680i −0.654921 + 0.755698i
\(16\) −1.39147 + 3.75017i −0.347868 + 0.937544i
\(17\) 0.528610 0.171756i 0.128207 0.0416569i −0.244211 0.969722i \(-0.578529\pi\)
0.372418 + 0.928065i \(0.378529\pi\)
\(18\) 0.479344 + 4.21547i 0.112982 + 0.993597i
\(19\) 1.14860 0.373201i 0.263506 0.0856183i −0.174284 0.984695i \(-0.555761\pi\)
0.437790 + 0.899077i \(0.355761\pi\)
\(20\) 4.11264 + 1.75676i 0.919614 + 0.392824i
\(21\) −2.39908 7.82833i −0.523521 1.70828i
\(22\) 0.611754 + 4.13741i 0.130426 + 0.882099i
\(23\) −0.664017 + 0.482436i −0.138457 + 0.100595i −0.654858 0.755752i \(-0.727272\pi\)
0.516401 + 0.856347i \(0.327272\pi\)
\(24\) 4.46598 2.01370i 0.911615 0.411046i
\(25\) 2.18430 4.49765i 0.436861 0.899529i
\(26\) −4.95175 + 2.45923i −0.971119 + 0.482295i
\(27\) 3.26195 4.04471i 0.627763 0.778405i
\(28\) −7.76139 + 5.39863i −1.46676 + 1.02025i
\(29\) −6.07319 1.97330i −1.12776 0.366432i −0.315037 0.949079i \(-0.602017\pi\)
−0.812725 + 0.582647i \(0.802017\pi\)
\(30\) −2.00716 5.09621i −0.366455 0.930436i
\(31\) −4.42801 + 1.43875i −0.795293 + 0.258406i −0.678356 0.734733i \(-0.737307\pi\)
−0.116937 + 0.993139i \(0.537307\pi\)
\(32\) −3.78912 4.20030i −0.669828 0.742516i
\(33\) 3.07998 4.09296i 0.536156 0.712493i
\(34\) −0.130941 + 0.775057i −0.0224562 + 0.132921i
\(35\) 5.60891 + 8.95938i 0.948079 + 1.51441i
\(36\) −5.59765 2.16017i −0.932941 0.360029i
\(37\) 3.51289 + 2.55226i 0.577515 + 0.419589i 0.837827 0.545935i \(-0.183826\pi\)
−0.260312 + 0.965524i \(0.583826\pi\)
\(38\) −0.284517 + 1.68409i −0.0461547 + 0.273195i
\(39\) 6.40393 + 2.20027i 1.02545 + 0.352325i
\(40\) −4.89556 + 4.00418i −0.774057 + 0.633116i
\(41\) 1.90569 2.62296i 0.297619 0.409637i −0.633851 0.773455i \(-0.718527\pi\)
0.931470 + 0.363818i \(0.118527\pi\)
\(42\) 11.3834 + 2.12026i 1.75649 + 0.327163i
\(43\) 9.83201i 1.49937i 0.661796 + 0.749684i \(0.269794\pi\)
−0.661796 + 0.749684i \(0.730206\pi\)
\(44\) −5.58652 1.94308i −0.842200 0.292930i
\(45\) −2.71514 + 6.13417i −0.404749 + 0.914428i
\(46\) −0.169781 1.14826i −0.0250328 0.169302i
\(47\) 1.36526 4.20183i 0.199143 0.612901i −0.800760 0.598986i \(-0.795571\pi\)
0.999903 0.0139148i \(-0.00442937\pi\)
\(48\) −0.401072 + 6.91658i −0.0578897 + 0.998323i
\(49\) −15.3461 −2.19230
\(50\) 4.20673 + 5.68361i 0.594921 + 0.803784i
\(51\) 0.788227 0.552707i 0.110374 0.0773945i
\(52\) 0.160810 7.81726i 0.0223003 1.08406i
\(53\) 7.98997 + 2.59610i 1.09751 + 0.356601i 0.801142 0.598474i \(-0.204226\pi\)
0.296364 + 0.955075i \(0.404226\pi\)
\(54\) 2.93320 + 6.73768i 0.399158 + 0.916882i
\(55\) −2.47210 + 6.13349i −0.333338 + 0.827040i
\(56\) −1.68324 13.2641i −0.224932 1.77249i
\(57\) 1.71271 1.20095i 0.226853 0.159070i
\(58\) 6.45106 6.31972i 0.847065 0.829820i
\(59\) −0.804579 0.584561i −0.104747 0.0761034i 0.534179 0.845372i \(-0.320621\pi\)
−0.638926 + 0.769268i \(0.720621\pi\)
\(60\) 7.70222 + 0.822056i 0.994353 + 0.106127i
\(61\) −4.40480 + 3.20028i −0.563977 + 0.409754i −0.832913 0.553405i \(-0.813328\pi\)
0.268935 + 0.963158i \(0.413328\pi\)
\(62\) 1.09685 6.49241i 0.139301 0.824537i
\(63\) −7.94588 11.7464i −1.00109 1.47991i
\(64\) 7.74642 1.99825i 0.968302 0.249781i
\(65\) −8.72102 0.602474i −1.08171 0.0747277i
\(66\) 3.11285 + 6.54120i 0.383166 + 0.805167i
\(67\) 0.581557 0.188959i 0.0710484 0.0230850i −0.273277 0.961935i \(-0.588108\pi\)
0.344326 + 0.938850i \(0.388108\pi\)
\(68\) −0.885697 0.671757i −0.107407 0.0814624i
\(69\) −0.854791 + 1.13592i −0.102905 + 0.136749i
\(70\) −14.9034 + 1.16216i −1.78129 + 0.138905i
\(71\) −4.78758 + 14.7347i −0.568181 + 1.74868i 0.0901228 + 0.995931i \(0.471274\pi\)
−0.658304 + 0.752752i \(0.728726\pi\)
\(72\) 6.37383 5.60128i 0.751163 0.660117i
\(73\) 8.18277 5.94513i 0.957720 0.695825i 0.00510015 0.999987i \(-0.498377\pi\)
0.952620 + 0.304162i \(0.0983766\pi\)
\(74\) −5.49983 + 2.73143i −0.639342 + 0.317522i
\(75\) 1.33468 8.55679i 0.154116 0.988053i
\(76\) −1.92450 1.45963i −0.220755 0.167431i
\(77\) −8.21730 11.3101i −0.936448 1.28891i
\(78\) −6.95217 + 6.58562i −0.787178 + 0.745674i
\(79\) −14.2920 4.64377i −1.60798 0.522465i −0.638917 0.769275i \(-0.720617\pi\)
−0.969064 + 0.246811i \(0.920617\pi\)
\(80\) −1.81243 8.75871i −0.202636 0.979254i
\(81\) 3.34916 8.35363i 0.372129 0.928181i
\(82\) 2.03947 + 4.10654i 0.225221 + 0.453492i
\(83\) 0.119077 + 0.366481i 0.0130704 + 0.0402265i 0.957379 0.288835i \(-0.0932678\pi\)
−0.944309 + 0.329061i \(0.893268\pi\)
\(84\) −10.1132 + 12.8793i −1.10344 + 1.40524i
\(85\) −0.798081 + 0.952740i −0.0865640 + 0.103339i
\(86\) −12.3235 6.43961i −1.32888 0.694401i
\(87\) −11.0588 0.185647i −1.18563 0.0199035i
\(88\) 6.09444 5.72952i 0.649669 0.610769i
\(89\) 5.82238 + 8.01381i 0.617171 + 0.849463i 0.997143 0.0755352i \(-0.0240665\pi\)
−0.379972 + 0.924998i \(0.624067\pi\)
\(90\) −5.91028 7.42082i −0.622998 0.782223i
\(91\) 10.8626 14.9511i 1.13871 1.56731i
\(92\) 1.55043 + 0.539265i 0.161644 + 0.0562223i
\(93\) −6.60273 + 4.62986i −0.684672 + 0.480094i
\(94\) 4.37240 + 4.46327i 0.450979 + 0.460351i
\(95\) −1.73412 + 2.07017i −0.177917 + 0.212395i
\(96\) −8.40659 5.03282i −0.857994 0.513660i
\(97\) −4.82234 + 14.8416i −0.489634 + 1.50694i 0.335521 + 0.942033i \(0.391088\pi\)
−0.825155 + 0.564906i \(0.808912\pi\)
\(98\) 10.0511 19.2348i 1.01532 1.94301i
\(99\) 3.02333 8.34118i 0.303856 0.838320i
\(100\) −9.87912 + 1.55017i −0.987912 + 0.155017i
\(101\) 0.541191i 0.0538505i 0.999637 + 0.0269253i \(0.00857161\pi\)
−0.999637 + 0.0269253i \(0.991428\pi\)
\(102\) 0.176505 + 1.34997i 0.0174766 + 0.133667i
\(103\) 4.33328 + 1.40797i 0.426971 + 0.138731i 0.514617 0.857420i \(-0.327934\pi\)
−0.0876456 + 0.996152i \(0.527934\pi\)
\(104\) 9.69286 + 5.32158i 0.950463 + 0.521824i
\(105\) 13.8355 + 11.9904i 1.35021 + 1.17015i
\(106\) −8.48710 + 8.31431i −0.824340 + 0.807557i
\(107\) −6.74072 −0.651650 −0.325825 0.945430i \(-0.605642\pi\)
−0.325825 + 0.945430i \(0.605642\pi\)
\(108\) −10.3662 0.736458i −0.997486 0.0708657i
\(109\) −3.02378 2.19691i −0.289626 0.210426i 0.433479 0.901164i \(-0.357286\pi\)
−0.723105 + 0.690738i \(0.757286\pi\)
\(110\) −6.06861 7.11576i −0.578619 0.678461i
\(111\) 7.11274 + 2.44380i 0.675112 + 0.231955i
\(112\) 17.7277 + 6.57771i 1.67511 + 0.621535i
\(113\) 3.67046 5.05195i 0.345287 0.475247i −0.600689 0.799483i \(-0.705107\pi\)
0.945976 + 0.324235i \(0.105107\pi\)
\(114\) 0.383521 + 2.93330i 0.0359200 + 0.274728i
\(115\) 0.686085 1.70223i 0.0639778 0.158734i
\(116\) 3.69595 + 12.2250i 0.343160 + 1.13506i
\(117\) 11.7218 + 0.393662i 1.08368 + 0.0363941i
\(118\) 1.25966 0.625597i 0.115961 0.0575908i
\(119\) −0.811919 2.49883i −0.0744285 0.229067i
\(120\) −6.07505 + 9.11558i −0.554573 + 0.832135i
\(121\) −0.696462 + 2.14349i −0.0633148 + 0.194863i
\(122\) −1.12625 7.61707i −0.101966 0.689617i
\(123\) 1.82471 5.31085i 0.164528 0.478863i
\(124\) 7.41921 + 5.62710i 0.666265 + 0.505328i
\(125\) 1.19667 + 11.1161i 0.107034 + 0.994255i
\(126\) 19.9272 2.26594i 1.77526 0.201866i
\(127\) 6.31110 + 8.68649i 0.560020 + 0.770801i 0.991329 0.131403i \(-0.0419481\pi\)
−0.431309 + 0.902204i \(0.641948\pi\)
\(128\) −2.56901 + 11.0182i −0.227070 + 0.973878i
\(129\) 4.98983 + 16.2821i 0.439330 + 1.43356i
\(130\) 6.46710 10.5364i 0.567202 0.924100i
\(131\) 3.43036 + 10.5576i 0.299712 + 0.922418i 0.981598 + 0.190959i \(0.0611599\pi\)
−0.681886 + 0.731458i \(0.738840\pi\)
\(132\) −10.2376 0.382591i −0.891067 0.0333003i
\(133\) −1.76418 5.42960i −0.152974 0.470806i
\(134\) −0.144056 + 0.852687i −0.0124446 + 0.0736609i
\(135\) −1.38320 + 11.5363i −0.119047 + 0.992889i
\(136\) 1.42208 0.670160i 0.121943 0.0574658i
\(137\) −11.2897 + 15.5390i −0.964546 + 1.32758i −0.0197913 + 0.999804i \(0.506300\pi\)
−0.944754 + 0.327779i \(0.893700\pi\)
\(138\) −0.863914 1.81539i −0.0735412 0.154536i
\(139\) 2.56446 + 3.52968i 0.217515 + 0.299383i 0.903805 0.427944i \(-0.140762\pi\)
−0.686290 + 0.727328i \(0.740762\pi\)
\(140\) 8.30451 19.4411i 0.701859 1.64307i
\(141\) 0.128443 7.65124i 0.0108169 0.644351i
\(142\) −15.3328 15.6514i −1.28670 1.31344i
\(143\) 11.5618 0.966847
\(144\) 2.84604 + 11.6576i 0.237170 + 0.971468i
\(145\) 13.8519 3.46602i 1.15033 0.287837i
\(146\) 2.09223 + 14.1502i 0.173154 + 1.17108i
\(147\) −25.4136 + 7.78827i −2.09608 + 0.642365i
\(148\) 0.178609 8.68250i 0.0146816 0.713697i
\(149\) 4.69487i 0.384619i −0.981334 0.192310i \(-0.938402\pi\)
0.981334 0.192310i \(-0.0615978\pi\)
\(150\) 9.85095 + 7.27728i 0.804326 + 0.594188i
\(151\) 7.47785i 0.608539i −0.952586 0.304269i \(-0.901588\pi\)
0.952586 0.304269i \(-0.0984123\pi\)
\(152\) 3.08998 1.45616i 0.250631 0.118110i
\(153\) 1.02482 1.31533i 0.0828521 0.106338i
\(154\) 19.5582 2.89186i 1.57605 0.233033i
\(155\) 6.68527 7.98080i 0.536974 0.641033i
\(156\) −3.70102 13.0272i −0.296319 1.04301i
\(157\) 3.23025 0.257802 0.128901 0.991657i \(-0.458855\pi\)
0.128901 + 0.991657i \(0.458855\pi\)
\(158\) 15.1813 14.8722i 1.20776 1.18317i
\(159\) 14.5492 + 0.244240i 1.15382 + 0.0193695i
\(160\) 12.1653 + 3.46493i 0.961751 + 0.273927i
\(161\) 2.28056 + 3.13892i 0.179733 + 0.247381i
\(162\) 8.27689 + 9.66918i 0.650294 + 0.759683i
\(163\) 8.63821 11.8895i 0.676597 0.931255i −0.323290 0.946300i \(-0.604789\pi\)
0.999887 + 0.0150445i \(0.00478900\pi\)
\(164\) −6.48293 0.133361i −0.506232 0.0104138i
\(165\) −0.981075 + 11.4119i −0.0763766 + 0.888412i
\(166\) −0.537340 0.0907805i −0.0417057 0.00704593i
\(167\) −0.327444 1.00777i −0.0253383 0.0779834i 0.937588 0.347749i \(-0.113054\pi\)
−0.962926 + 0.269765i \(0.913054\pi\)
\(168\) −9.51911 21.1114i −0.734415 1.62878i
\(169\) 0.705745 + 2.17206i 0.0542881 + 0.167082i
\(170\) −0.671453 1.62433i −0.0514981 0.124580i
\(171\) 2.22680 2.85803i 0.170288 0.218559i
\(172\) 16.1429 11.2286i 1.23088 0.856172i
\(173\) 11.4970 + 15.8242i 0.874098 + 1.20309i 0.978021 + 0.208508i \(0.0668606\pi\)
−0.103923 + 0.994585i \(0.533139\pi\)
\(174\) 7.47584 13.7396i 0.566742 1.04160i
\(175\) −21.2611 10.3256i −1.60719 0.780539i
\(176\) 3.18977 + 11.3914i 0.240438 + 0.858661i
\(177\) −1.62908 0.559720i −0.122449 0.0420711i
\(178\) −13.8580 + 2.04903i −1.03870 + 0.153581i
\(179\) −2.93426 + 9.03072i −0.219317 + 0.674988i 0.779502 + 0.626400i \(0.215472\pi\)
−0.998819 + 0.0485880i \(0.984528\pi\)
\(180\) 13.1723 2.54759i 0.981806 0.189886i
\(181\) −5.97127 18.3777i −0.443841 1.36600i −0.883750 0.467960i \(-0.844989\pi\)
0.439908 0.898043i \(-0.355011\pi\)
\(182\) 11.6252 + 23.4078i 0.861716 + 1.73510i
\(183\) −5.67032 + 7.53523i −0.419162 + 0.557020i
\(184\) −1.69140 + 1.59012i −0.124691 + 0.117225i
\(185\) −9.68630 0.669158i −0.712151 0.0491975i
\(186\) −1.47853 11.3083i −0.108411 0.829164i
\(187\) 0.966180 1.32983i 0.0706540 0.0972469i
\(188\) −8.45805 + 2.55710i −0.616867 + 0.186496i
\(189\) −19.1200 15.4198i −1.39078 1.12162i
\(190\) −1.45897 3.52944i −0.105845 0.256052i
\(191\) −13.9771 10.1550i −1.01135 0.734788i −0.0468569 0.998902i \(-0.514920\pi\)
−0.964491 + 0.264114i \(0.914920\pi\)
\(192\) 11.8142 7.24054i 0.852614 0.522541i
\(193\) 3.00653 0.216415 0.108207 0.994128i \(-0.465489\pi\)
0.108207 + 0.994128i \(0.465489\pi\)
\(194\) −15.4441 15.7651i −1.10882 1.13187i
\(195\) −14.7480 + 3.42828i −1.05613 + 0.245504i
\(196\) 17.5259 + 25.1963i 1.25185 + 1.79973i
\(197\) −1.59660 0.518766i −0.113753 0.0369606i 0.251587 0.967835i \(-0.419047\pi\)
−0.365340 + 0.930874i \(0.619047\pi\)
\(198\) 8.47469 + 9.25263i 0.602270 + 0.657556i
\(199\) 18.8808i 1.33842i 0.743072 + 0.669212i \(0.233368\pi\)
−0.743072 + 0.669212i \(0.766632\pi\)
\(200\) 4.52748 13.3978i 0.320141 0.947370i
\(201\) 0.867177 0.608067i 0.0611659 0.0428897i
\(202\) −0.678331 0.354461i −0.0477272 0.0249398i
\(203\) −9.32810 + 28.7089i −0.654704 + 2.01497i
\(204\) −1.80766 0.662950i −0.126562 0.0464158i
\(205\) −0.499638 + 7.23244i −0.0348962 + 0.505135i
\(206\) −4.60290 + 4.50918i −0.320699 + 0.314170i
\(207\) −0.839069 + 2.31494i −0.0583193 + 0.160899i
\(208\) −13.0186 + 8.66362i −0.902675 + 0.600714i
\(209\) 2.09937 2.88954i 0.145217 0.199873i
\(210\) −24.0906 + 9.48815i −1.66241 + 0.654745i
\(211\) 1.63417 + 2.24924i 0.112501 + 0.154844i 0.861554 0.507665i \(-0.169491\pi\)
−0.749053 + 0.662510i \(0.769491\pi\)
\(212\) −4.86244 16.0833i −0.333954 1.10461i
\(213\) −0.450414 + 26.8308i −0.0308618 + 1.83841i
\(214\) 4.41493 8.44885i 0.301798 0.577551i
\(215\) −11.6659 18.6346i −0.795611 1.27087i
\(216\) 7.71255 12.5107i 0.524773 0.851242i
\(217\) 6.80119 + 20.9319i 0.461695 + 1.42095i
\(218\) 4.73408 2.35113i 0.320633 0.159239i
\(219\) 10.5337 13.9981i 0.711802 0.945906i
\(220\) 12.8936 2.94585i 0.869289 0.198609i
\(221\) 2.06658 + 0.671472i 0.139013 + 0.0451681i
\(222\) −7.72166 + 7.31454i −0.518244 + 0.490920i
\(223\) 6.88081 + 9.47063i 0.460773 + 0.634200i 0.974669 0.223653i \(-0.0717981\pi\)
−0.513896 + 0.857853i \(0.671798\pi\)
\(224\) −19.8555 + 17.9118i −1.32665 + 1.19678i
\(225\) −2.13237 14.8477i −0.142158 0.989844i
\(226\) 3.92812 + 7.90941i 0.261294 + 0.526126i
\(227\) 17.1198 12.4383i 1.13628 0.825558i 0.149686 0.988734i \(-0.452174\pi\)
0.986597 + 0.163176i \(0.0521739\pi\)
\(228\) −3.92780 1.44050i −0.260125 0.0953992i
\(229\) 8.59053 26.4389i 0.567678 1.74713i −0.0921790 0.995742i \(-0.529383\pi\)
0.659857 0.751391i \(-0.270617\pi\)
\(230\) 1.68423 + 1.97484i 0.111055 + 0.130217i
\(231\) −19.3481 14.5596i −1.27301 0.957950i
\(232\) −17.7435 3.37440i −1.16492 0.221540i
\(233\) −6.85704 + 2.22799i −0.449220 + 0.145960i −0.524885 0.851173i \(-0.675892\pi\)
0.0756657 + 0.997133i \(0.475892\pi\)
\(234\) −8.17075 + 14.4343i −0.534138 + 0.943597i
\(235\) 2.39802 + 9.58364i 0.156430 + 0.625168i
\(236\) −0.0409080 + 1.98861i −0.00266288 + 0.129447i
\(237\) −26.0248 0.436884i −1.69049 0.0283787i
\(238\) 3.66382 + 0.618981i 0.237490 + 0.0401226i
\(239\) 11.1364 8.09108i 0.720355 0.523368i −0.166143 0.986102i \(-0.553131\pi\)
0.886498 + 0.462733i \(0.153131\pi\)
\(240\) −7.44657 13.5849i −0.480674 0.876899i
\(241\) −12.2762 8.91917i −0.790779 0.574534i 0.117416 0.993083i \(-0.462539\pi\)
−0.908194 + 0.418549i \(0.862539\pi\)
\(242\) −2.23050 2.27686i −0.143382 0.146362i
\(243\) 1.30677 15.5336i 0.0838296 0.996480i
\(244\) 10.2849 + 3.57726i 0.658425 + 0.229010i
\(245\) 29.0854 18.2086i 1.85820 1.16330i
\(246\) 5.46152 + 5.76551i 0.348214 + 0.367596i
\(247\) 4.49038 + 1.45901i 0.285716 + 0.0928349i
\(248\) −11.9123 + 5.61372i −0.756434 + 0.356472i
\(249\) 0.383187 + 0.546471i 0.0242835 + 0.0346312i
\(250\) −14.7168 5.78074i −0.930770 0.365606i
\(251\) 11.6075 0.732661 0.366331 0.930485i \(-0.380614\pi\)
0.366331 + 0.930485i \(0.380614\pi\)
\(252\) −10.2115 + 26.4610i −0.643264 + 1.66689i
\(253\) −0.750090 + 2.30854i −0.0471578 + 0.145137i
\(254\) −15.0212 + 2.22103i −0.942516 + 0.139360i
\(255\) −0.838122 + 1.98280i −0.0524853 + 0.124168i
\(256\) −12.1276 10.4365i −0.757976 0.652282i
\(257\) 0.872538i 0.0544274i −0.999630 0.0272137i \(-0.991337\pi\)
0.999630 0.0272137i \(-0.00866346\pi\)
\(258\) −23.6762 4.40992i −1.47402 0.274550i
\(259\) 12.0650 16.6060i 0.749680 1.03185i
\(260\) 8.97061 + 15.0068i 0.556334 + 0.930684i
\(261\) −18.4080 + 5.30502i −1.13943 + 0.328372i
\(262\) −15.4796 2.61519i −0.956335 0.161567i
\(263\) 11.1421 + 8.09520i 0.687050 + 0.499171i 0.875689 0.482875i \(-0.160408\pi\)
−0.188639 + 0.982047i \(0.560408\pi\)
\(264\) 7.18479 12.5812i 0.442193 0.774322i
\(265\) −18.2237 + 4.55994i −1.11947 + 0.280115i
\(266\) 7.96096 + 1.34496i 0.488118 + 0.0824647i
\(267\) 13.7091 + 10.3162i 0.838984 + 0.631342i
\(268\) −0.974410 0.739040i −0.0595215 0.0451441i
\(269\) −5.48763 + 1.78304i −0.334587 + 0.108714i −0.471492 0.881870i \(-0.656284\pi\)
0.136905 + 0.990584i \(0.456284\pi\)
\(270\) −13.5537 9.28959i −0.824854 0.565346i
\(271\) 21.3973 + 6.95241i 1.29979 + 0.422329i 0.875510 0.483201i \(-0.160526\pi\)
0.424284 + 0.905529i \(0.360526\pi\)
\(272\) −0.0914312 + 2.22137i −0.00554383 + 0.134691i
\(273\) 10.4010 30.2724i 0.629499 1.83217i
\(274\) −12.0822 24.3280i −0.729915 1.46971i
\(275\) −2.59219 14.5580i −0.156315 0.877881i
\(276\) 2.84125 + 0.106181i 0.171023 + 0.00639134i
\(277\) −0.491461 + 0.357067i −0.0295290 + 0.0214541i −0.602452 0.798155i \(-0.705809\pi\)
0.572923 + 0.819609i \(0.305809\pi\)
\(278\) −6.10374 + 0.902494i −0.366078 + 0.0541280i
\(279\) −8.58463 + 11.0181i −0.513949 + 0.659638i
\(280\) 18.9284 + 23.1421i 1.13119 + 1.38301i
\(281\) 29.7848 9.67767i 1.77681 0.577322i 0.778105 0.628135i \(-0.216181\pi\)
0.998708 + 0.0508130i \(0.0161812\pi\)
\(282\) 9.50598 + 5.17228i 0.566073 + 0.308005i
\(283\) −4.58299 + 1.48910i −0.272430 + 0.0885180i −0.442046 0.896992i \(-0.645747\pi\)
0.169616 + 0.985510i \(0.445747\pi\)
\(284\) 29.6600 8.96705i 1.76000 0.532096i
\(285\) −1.82112 + 4.30834i −0.107874 + 0.255204i
\(286\) −7.57257 + 14.4916i −0.447776 + 0.856908i
\(287\) −12.3991 9.00851i −0.731899 0.531755i
\(288\) −16.4758 4.06809i −0.970843 0.239714i
\(289\) −13.5034 + 9.81077i −0.794315 + 0.577104i
\(290\) −4.72815 + 19.6321i −0.277647 + 1.15284i
\(291\) −0.453684 + 27.0256i −0.0265954 + 1.58427i
\(292\) −19.1062 6.64544i −1.11811 0.388895i
\(293\) 29.2911i 1.71120i −0.517635 0.855602i \(-0.673187\pi\)
0.517635 0.855602i \(-0.326813\pi\)
\(294\) 6.88313 36.9545i 0.401432 2.15523i
\(295\) 2.21852 + 0.153262i 0.129167 + 0.00892323i
\(296\) 10.7657 + 5.91059i 0.625743 + 0.343546i
\(297\) 0.773512 15.3476i 0.0448837 0.890559i
\(298\) 5.88457 + 3.07497i 0.340884 + 0.178128i
\(299\) −3.20876 −0.185568
\(300\) −15.5734 + 7.58086i −0.899130 + 0.437681i
\(301\) 46.4775 2.67892
\(302\) 9.37277 + 4.89772i 0.539342 + 0.281832i
\(303\) 0.274659 + 0.896229i 0.0157787 + 0.0514870i
\(304\) −0.198667 + 4.82673i −0.0113943 + 0.276832i
\(305\) 4.55120 11.2919i 0.260601 0.646572i
\(306\) 0.977419 + 2.14601i 0.0558753 + 0.122679i
\(307\) 0.637534i 0.0363860i −0.999834 0.0181930i \(-0.994209\pi\)
0.999834 0.0181930i \(-0.00579133\pi\)
\(308\) −9.18526 + 26.4084i −0.523379 + 1.50476i
\(309\) 7.89060 + 0.132461i 0.448881 + 0.00753545i
\(310\) 5.62456 + 13.6065i 0.319453 + 0.772797i
\(311\) −18.8639 + 13.7054i −1.06967 + 0.777161i −0.975853 0.218428i \(-0.929907\pi\)
−0.0938179 + 0.995589i \(0.529907\pi\)
\(312\) 18.7524 + 3.89349i 1.06165 + 0.220426i
\(313\) −19.0299 13.8260i −1.07563 0.781494i −0.0987180 0.995115i \(-0.531474\pi\)
−0.976917 + 0.213621i \(0.931474\pi\)
\(314\) −2.11570 + 4.04881i −0.119396 + 0.228487i
\(315\) 28.9972 + 12.8349i 1.63381 + 0.723164i
\(316\) 8.69769 + 28.7691i 0.489283 + 1.61839i
\(317\) −5.47100 + 1.77764i −0.307282 + 0.0998421i −0.458599 0.888643i \(-0.651649\pi\)
0.151317 + 0.988485i \(0.451649\pi\)
\(318\) −9.83531 + 18.0760i −0.551537 + 1.01365i
\(319\) −17.9608 + 5.83583i −1.00561 + 0.326744i
\(320\) −12.3108 + 12.9786i −0.688194 + 0.725527i
\(321\) −11.1628 + 3.42097i −0.623049 + 0.190940i
\(322\) −5.42801 + 0.802581i −0.302491 + 0.0447261i
\(323\) 0.543060 0.394556i 0.0302167 0.0219537i
\(324\) −17.5405 + 4.04133i −0.974470 + 0.224518i
\(325\) 17.2438 9.20587i 0.956513 0.510650i
\(326\) 9.24460 + 18.6143i 0.512011 + 1.03095i
\(327\) −6.12243 2.10355i −0.338571 0.116327i
\(328\) 4.41325 8.03839i 0.243681 0.443846i
\(329\) −19.8628 6.45380i −1.09507 0.355810i
\(330\) −13.6611 8.70404i −0.752019 0.479142i
\(331\) 0.975079 0.316822i 0.0535952 0.0174141i −0.282097 0.959386i \(-0.591030\pi\)
0.335692 + 0.941972i \(0.391030\pi\)
\(332\) 0.465723 0.614047i 0.0255599 0.0337002i
\(333\) 13.0192 + 0.437234i 0.713446 + 0.0239603i
\(334\) 1.47760 + 0.249633i 0.0808509 + 0.0136593i
\(335\) −0.878017 + 1.04817i −0.0479712 + 0.0572675i
\(336\) 32.6958 + 1.89593i 1.78370 + 0.103432i
\(337\) −15.6066 11.3389i −0.850145 0.617667i 0.0750408 0.997180i \(-0.476091\pi\)
−0.925186 + 0.379514i \(0.876091\pi\)
\(338\) −3.18471 0.538038i −0.173225 0.0292654i
\(339\) 3.51448 10.2290i 0.190880 0.555561i
\(340\) 2.47572 + 0.222274i 0.134265 + 0.0120545i
\(341\) −8.09339 + 11.1396i −0.438281 + 0.603243i
\(342\) 2.12379 + 4.66299i 0.114842 + 0.252145i
\(343\) 39.4533i 2.13028i
\(344\) 3.50095 + 27.5879i 0.188759 + 1.48744i
\(345\) 0.272279 3.16715i 0.0146590 0.170513i
\(346\) −27.3642 + 4.04605i −1.47111 + 0.217517i
\(347\) −0.379677 + 1.16852i −0.0203821 + 0.0627297i −0.960730 0.277484i \(-0.910499\pi\)
0.940348 + 0.340214i \(0.110499\pi\)
\(348\) 12.3249 + 18.3692i 0.660683 + 0.984692i
\(349\) 25.1965 1.34874 0.674369 0.738395i \(-0.264416\pi\)
0.674369 + 0.738395i \(0.264416\pi\)
\(350\) 26.8674 19.8859i 1.43612 1.06295i
\(351\) 19.6114 5.29697i 1.04678 0.282732i
\(352\) −16.3672 3.46290i −0.872377 0.184573i
\(353\) −28.7901 9.35448i −1.53234 0.497889i −0.583092 0.812406i \(-0.698157\pi\)
−0.949252 + 0.314517i \(0.898157\pi\)
\(354\) 1.76854 1.67530i 0.0939970 0.0890410i
\(355\) −8.40919 33.6072i −0.446314 1.78368i
\(356\) 6.50823 18.7117i 0.344935 0.991719i
\(357\) −2.61274 3.72608i −0.138281 0.197205i
\(358\) −9.39731 9.59261i −0.496663 0.506985i
\(359\) −16.9951 12.3476i −0.896966 0.651684i 0.0407191 0.999171i \(-0.487035\pi\)
−0.937685 + 0.347487i \(0.887035\pi\)
\(360\) −5.43423 + 18.1788i −0.286409 + 0.958107i
\(361\) −14.1913 + 10.3106i −0.746912 + 0.542663i
\(362\) 26.9456 + 4.55231i 1.41623 + 0.239264i
\(363\) −0.0655229 + 3.90315i −0.00343906 + 0.204862i
\(364\) −36.9535 0.760175i −1.93689 0.0398440i
\(365\) −8.45472 + 20.9769i −0.442540 + 1.09798i
\(366\) −5.73083 12.0425i −0.299556 0.629472i
\(367\) 0.370475 0.120375i 0.0193386 0.00628351i −0.299332 0.954149i \(-0.596764\pi\)
0.318670 + 0.947866i \(0.396764\pi\)
\(368\) −0.885261 3.16148i −0.0461474 0.164803i
\(369\) 0.326468 9.72098i 0.0169952 0.506054i
\(370\) 7.18290 11.7026i 0.373421 0.608388i
\(371\) 12.2722 37.7699i 0.637140 1.96091i
\(372\) 15.1422 + 5.55333i 0.785088 + 0.287927i
\(373\) −18.7228 + 13.6029i −0.969428 + 0.704330i −0.955321 0.295570i \(-0.904490\pi\)
−0.0141065 + 0.999900i \(0.504490\pi\)
\(374\) 1.03400 + 2.08201i 0.0534671 + 0.107658i
\(375\) 7.62325 + 17.8013i 0.393663 + 0.919255i
\(376\) 2.33463 12.2762i 0.120400 0.633095i
\(377\) −14.6739 20.1969i −0.755744 1.04019i
\(378\) 31.8501 13.8657i 1.63819 0.713175i
\(379\) −19.5775 6.36113i −1.00563 0.326749i −0.240517 0.970645i \(-0.577317\pi\)
−0.765113 + 0.643896i \(0.777317\pi\)
\(380\) 5.37938 + 0.482970i 0.275957 + 0.0247758i
\(381\) 14.8598 + 11.1821i 0.761293 + 0.572879i
\(382\) 21.8828 10.8678i 1.11962 0.556047i
\(383\) −8.82015 27.1456i −0.450689 1.38708i −0.876123 0.482088i \(-0.839879\pi\)
0.425434 0.904989i \(-0.360121\pi\)
\(384\) 1.33746 + 19.5502i 0.0682520 + 0.997668i
\(385\) 28.9940 + 11.6860i 1.47767 + 0.595575i
\(386\) −1.96917 + 3.76840i −0.100228 + 0.191806i
\(387\) 16.5266 + 24.4313i 0.840095 + 1.24191i
\(388\) 29.8753 9.03215i 1.51669 0.458538i
\(389\) 7.77318 + 10.6989i 0.394116 + 0.542454i 0.959255 0.282542i \(-0.0911776\pi\)
−0.565139 + 0.824995i \(0.691178\pi\)
\(390\) 5.36242 20.7306i 0.271536 1.04974i
\(391\) −0.268145 + 0.369070i −0.0135607 + 0.0186647i
\(392\) −43.0599 + 5.46439i −2.17486 + 0.275993i
\(393\) 11.0388 + 15.7427i 0.556835 + 0.794114i
\(394\) 1.69594 1.66141i 0.0854401 0.0837006i
\(395\) 32.5976 8.15659i 1.64017 0.410403i
\(396\) −17.1479 + 4.56208i −0.861715 + 0.229253i
\(397\) 0.489168 1.50550i 0.0245506 0.0755591i −0.938031 0.346553i \(-0.887352\pi\)
0.962581 + 0.270994i \(0.0873522\pi\)
\(398\) −23.6652 12.3662i −1.18623 0.619863i
\(399\) −5.67711 8.09624i −0.284211 0.405319i
\(400\) 13.8276 + 14.4499i 0.691378 + 0.722493i
\(401\) 0.673754i 0.0336457i 0.999858 + 0.0168228i \(0.00535513\pi\)
−0.999858 + 0.0168228i \(0.994645\pi\)
\(402\) 0.194184 + 1.48518i 0.00968502 + 0.0740743i
\(403\) −17.3111 5.62471i −0.862327 0.280187i
\(404\) 0.888565 0.618064i 0.0442078 0.0307498i
\(405\) 3.56415 + 19.8065i 0.177104 + 0.984192i
\(406\) −29.8743 30.4952i −1.48264 1.51345i
\(407\) 12.8415 0.636530
\(408\) 2.01490 1.83152i 0.0997524 0.0906740i
\(409\) 9.68951 + 7.03984i 0.479116 + 0.348098i 0.800983 0.598687i \(-0.204311\pi\)
−0.321868 + 0.946785i \(0.604311\pi\)
\(410\) −8.73792 5.36323i −0.431535 0.264871i
\(411\) −10.8100 + 31.4626i −0.533216 + 1.55194i
\(412\) −2.63710 8.72265i −0.129920 0.429734i
\(413\) −2.76332 + 3.80338i −0.135974 + 0.187152i
\(414\) −2.35199 2.56789i −0.115594 0.126205i
\(415\) −0.660526 0.553303i −0.0324240 0.0271606i
\(416\) −2.33233 21.9919i −0.114352 1.07824i
\(417\) 6.03817 + 4.54377i 0.295690 + 0.222509i
\(418\) 2.24674 + 4.52390i 0.109892 + 0.221271i
\(419\) −1.59083 4.89606i −0.0777169 0.239188i 0.904649 0.426158i \(-0.140133\pi\)
−0.982366 + 0.186970i \(0.940133\pi\)
\(420\) 3.88599 36.4097i 0.189617 1.77661i
\(421\) −3.17772 + 9.78003i −0.154873 + 0.476649i −0.998148 0.0608326i \(-0.980624\pi\)
0.843275 + 0.537482i \(0.180624\pi\)
\(422\) −3.88953 + 0.575102i −0.189339 + 0.0279955i
\(423\) −3.67037 12.7359i −0.178459 0.619239i
\(424\) 23.3437 + 4.43941i 1.13367 + 0.215597i
\(425\) 0.382149 2.75267i 0.0185369 0.133524i
\(426\) −33.3348 18.1377i −1.61508 0.878777i
\(427\) 15.1282 + 20.8222i 0.732107 + 1.00766i
\(428\) 7.69820 + 11.0674i 0.372107 + 0.534962i
\(429\) 19.1467 5.86772i 0.924412 0.283296i
\(430\) 30.9974 2.41717i 1.49483 0.116566i
\(431\) −0.375545 1.15581i −0.0180894 0.0556733i 0.941604 0.336721i \(-0.109318\pi\)
−0.959694 + 0.281048i \(0.909318\pi\)
\(432\) 10.6295 + 17.8610i 0.511410 + 0.859337i
\(433\) −8.97298 27.6160i −0.431214 1.32714i −0.896917 0.442199i \(-0.854198\pi\)
0.465703 0.884941i \(-0.345802\pi\)
\(434\) −30.6907 5.18501i −1.47320 0.248888i
\(435\) 21.1801 12.7698i 1.01551 0.612263i
\(436\) −0.153741 + 7.47363i −0.00736286 + 0.357922i
\(437\) −0.582641 + 0.801937i −0.0278715 + 0.0383618i
\(438\) 10.6461 + 22.3713i 0.508691 + 1.06894i
\(439\) −3.88565 5.34814i −0.185452 0.255253i 0.706161 0.708052i \(-0.250426\pi\)
−0.891613 + 0.452799i \(0.850426\pi\)
\(440\) −4.75253 + 18.0904i −0.226568 + 0.862425i
\(441\) −38.1330 + 25.7952i −1.81586 + 1.22834i
\(442\) −2.19516 + 2.15047i −0.104413 + 0.102287i
\(443\) −33.7862 −1.60523 −0.802616 0.596497i \(-0.796559\pi\)
−0.802616 + 0.596497i \(0.796559\pi\)
\(444\) −4.11066 14.4691i −0.195083 0.686674i
\(445\) −20.5437 8.28015i −0.973867 0.392517i
\(446\) −16.3772 + 2.42152i −0.775483 + 0.114662i
\(447\) −2.38269 7.77485i −0.112697 0.367738i
\(448\) −9.44606 36.6186i −0.446284 1.73007i
\(449\) 2.40917i 0.113696i −0.998383 0.0568479i \(-0.981895\pi\)
0.998383 0.0568479i \(-0.0181050\pi\)
\(450\) 20.0067 + 7.05196i 0.943127 + 0.332433i
\(451\) 9.58834i 0.451497i
\(452\) −12.4865 0.256861i −0.587314 0.0120817i
\(453\) −3.79507 12.3835i −0.178308 0.581830i
\(454\) 4.37732 + 29.6047i 0.205438 + 1.38942i
\(455\) −2.84799 + 41.2257i −0.133516 + 1.93269i
\(456\) 4.37809 3.97964i 0.205023 0.186364i
\(457\) −0.341439 −0.0159718 −0.00798591 0.999968i \(-0.502542\pi\)
−0.00798591 + 0.999968i \(0.502542\pi\)
\(458\) 27.5122 + 28.0840i 1.28556 + 1.31228i
\(459\) 1.02960 2.69834i 0.0480575 0.125948i
\(460\) −3.57839 + 0.817565i −0.166843 + 0.0381192i
\(461\) 14.1785 + 19.5150i 0.660358 + 0.908905i 0.999493 0.0318327i \(-0.0101344\pi\)
−0.339135 + 0.940738i \(0.610134\pi\)
\(462\) 30.9213 14.7150i 1.43859 0.684602i
\(463\) −6.14463 + 8.45736i −0.285565 + 0.393047i −0.927567 0.373656i \(-0.878104\pi\)
0.642002 + 0.766703i \(0.278104\pi\)
\(464\) 15.8509 20.0297i 0.735858 0.929856i
\(465\) 7.02069 16.6093i 0.325577 0.770237i
\(466\) 1.69855 10.0539i 0.0786837 0.465738i
\(467\) 1.73157 + 5.32922i 0.0801275 + 0.246607i 0.983093 0.183105i \(-0.0586150\pi\)
−0.902966 + 0.429712i \(0.858615\pi\)
\(468\) −12.7404 19.6952i −0.588926 0.910410i
\(469\) −0.893241 2.74911i −0.0412460 0.126942i
\(470\) −13.5828 3.27125i −0.626528 0.150892i
\(471\) 5.34939 1.63938i 0.246487 0.0755385i
\(472\) −2.46574 1.35374i −0.113495 0.0623110i
\(473\) 17.0911 + 23.5239i 0.785851 + 1.08163i
\(474\) 17.5929 32.3335i 0.808069 1.48513i
\(475\) 0.830355 5.98116i 0.0380993 0.274435i
\(476\) −3.17550 + 4.18684i −0.145549 + 0.191903i
\(477\) 24.2178 6.97936i 1.10886 0.319563i
\(478\) 2.84744 + 19.2578i 0.130239 + 0.880831i
\(479\) 4.29353 13.2141i 0.196176 0.603769i −0.803784 0.594921i \(-0.797183\pi\)
0.999961 0.00884836i \(-0.00281656\pi\)
\(480\) 21.9046 0.435959i 0.999802 0.0198987i
\(481\) 5.24572 + 16.1447i 0.239184 + 0.736134i
\(482\) 19.2198 9.54529i 0.875437 0.434776i
\(483\) 5.36970 + 4.04074i 0.244330 + 0.183860i
\(484\) 4.31472 1.30446i 0.196124 0.0592937i
\(485\) −8.47024 33.8511i −0.384614 1.53710i
\(486\) 18.6140 + 11.8119i 0.844347 + 0.535797i
\(487\) 12.9137 17.7742i 0.585177 0.805427i −0.409074 0.912501i \(-0.634148\pi\)
0.994251 + 0.107074i \(0.0341482\pi\)
\(488\) −11.2200 + 10.5482i −0.507906 + 0.477494i
\(489\) 8.27112 24.0733i 0.374033 1.08863i
\(490\) 3.77279 + 48.3817i 0.170437 + 2.18566i
\(491\) 10.1785 + 7.39510i 0.459348 + 0.333736i 0.793276 0.608863i \(-0.208374\pi\)
−0.333927 + 0.942599i \(0.608374\pi\)
\(492\) −10.8036 + 3.06929i −0.487065 + 0.138374i
\(493\) −3.54928 −0.159851
\(494\) −4.76978 + 4.67266i −0.214602 + 0.210233i
\(495\) 4.16692 + 19.3963i 0.187289 + 0.871798i
\(496\) 0.765891 18.6078i 0.0343895 0.835513i
\(497\) 69.6532 + 22.6317i 3.12437 + 1.01517i
\(498\) −0.935924 + 0.122370i −0.0419397 + 0.00548351i
\(499\) 11.6724i 0.522527i 0.965268 + 0.261263i \(0.0841391\pi\)
−0.965268 + 0.261263i \(0.915861\pi\)
\(500\) 16.8846 14.6599i 0.755100 0.655610i
\(501\) −1.05371 1.50271i −0.0470762 0.0671363i
\(502\) −7.60252 + 14.5489i −0.339317 + 0.649351i
\(503\) 4.93243 15.1805i 0.219926 0.676863i −0.778841 0.627222i \(-0.784192\pi\)
0.998767 0.0496418i \(-0.0158080\pi\)
\(504\) −26.4782 30.1301i −1.17943 1.34210i
\(505\) −0.642138 1.02572i −0.0285748 0.0456438i
\(506\) −2.40225 2.45218i −0.106793 0.109013i
\(507\) 2.27107 + 3.23883i 0.100862 + 0.143841i
\(508\) 7.05452 20.2824i 0.312994 0.899884i
\(509\) 6.30000 8.67121i 0.279243 0.384345i −0.646240 0.763134i \(-0.723660\pi\)
0.925483 + 0.378789i \(0.123660\pi\)
\(510\) −1.93631 2.34917i −0.0857411 0.104023i
\(511\) −28.1036 38.6813i −1.24323 1.71116i
\(512\) 21.0243 8.36526i 0.929153 0.369696i
\(513\) 2.23717 5.86310i 0.0987735 0.258862i
\(514\) 1.09364 + 0.571481i 0.0482385 + 0.0252069i
\(515\) −9.88345 + 2.47304i −0.435517 + 0.108975i
\(516\) 21.0345 26.7875i 0.925991 1.17925i
\(517\) −4.03761 12.4265i −0.177574 0.546517i
\(518\) 12.9119 + 25.9986i 0.567317 + 1.14231i
\(519\) 27.0702 + 20.3706i 1.18825 + 0.894169i
\(520\) −24.6851 + 1.41486i −1.08251 + 0.0620458i
\(521\) −36.9235 11.9972i −1.61765 0.525606i −0.646263 0.763115i \(-0.723669\pi\)
−0.971385 + 0.237509i \(0.923669\pi\)
\(522\) 5.40724 26.5473i 0.236669 1.16194i
\(523\) −5.88363 8.09813i −0.257273 0.354106i 0.660769 0.750590i \(-0.270230\pi\)
−0.918042 + 0.396483i \(0.870230\pi\)
\(524\) 13.4165 17.6894i 0.586103 0.772765i
\(525\) −40.4493 6.30925i −1.76535 0.275358i
\(526\) −17.4442 + 8.66347i −0.760604 + 0.377745i
\(527\) −2.09358 + 1.52107i −0.0911976 + 0.0662590i
\(528\) 11.0636 + 17.2457i 0.481481 + 0.750523i
\(529\) −6.89922 + 21.2336i −0.299966 + 0.923200i
\(530\) 6.22043 25.8283i 0.270198 1.12191i
\(531\) −2.98186 0.100143i −0.129402 0.00434581i
\(532\) −6.89992 + 9.09740i −0.299150 + 0.394423i
\(533\) 12.0547 3.91681i 0.522147 0.169656i
\(534\) −21.9094 + 10.4263i −0.948111 + 0.451190i
\(535\) 12.7757 7.99805i 0.552340 0.345786i
\(536\) 1.56452 0.737284i 0.0675769 0.0318458i
\(537\) −0.276054 + 16.4443i −0.0119126 + 0.709624i
\(538\) 1.35933 8.04605i 0.0586050 0.346890i
\(539\) −36.7168 + 26.6763i −1.58150 + 1.14903i
\(540\) 20.5208 10.9039i 0.883075 0.469231i
\(541\) 22.3539 + 16.2411i 0.961071 + 0.698259i 0.953399 0.301712i \(-0.0975580\pi\)
0.00767157 + 0.999971i \(0.497558\pi\)
\(542\) −22.7286 + 22.2659i −0.976279 + 0.956402i
\(543\) −19.2154 27.4035i −0.824613 1.17600i
\(544\) −2.72440 1.56952i −0.116808 0.0672927i
\(545\) 8.33766 + 0.575990i 0.357146 + 0.0246727i
\(546\) 31.1313 + 32.8641i 1.33230 + 1.40645i
\(547\) 3.99568 + 1.29828i 0.170843 + 0.0555103i 0.393190 0.919457i \(-0.371372\pi\)
−0.222346 + 0.974968i \(0.571372\pi\)
\(548\) 38.4063 + 0.790062i 1.64064 + 0.0337498i
\(549\) −5.56603 + 15.3563i −0.237552 + 0.655391i
\(550\) 19.9449 + 6.28591i 0.850452 + 0.268032i
\(551\) −7.71207 −0.328545
\(552\) −1.99400 + 3.49169i −0.0848704 + 0.148616i
\(553\) −21.9519 + 67.5609i −0.933488 + 2.87298i
\(554\) −0.125660 0.849866i −0.00533880 0.0361073i
\(555\) −16.3804 + 3.80773i −0.695309 + 0.161629i
\(556\) 2.86654 8.24156i 0.121568 0.349520i
\(557\) 29.8853i 1.26628i 0.774036 + 0.633141i \(0.218235\pi\)
−0.774036 + 0.633141i \(0.781765\pi\)
\(558\) −8.18754 17.9765i −0.346606 0.761006i
\(559\) −22.5932 + 31.0968i −0.955589 + 1.31526i
\(560\) −41.4039 + 8.56768i −1.74963 + 0.362050i
\(561\) 0.925121 2.69259i 0.0390586 0.113681i
\(562\) −7.37795 + 43.6709i −0.311220 + 1.84215i
\(563\) 11.1929 + 8.13209i 0.471723 + 0.342727i 0.798112 0.602509i \(-0.205832\pi\)
−0.326389 + 0.945235i \(0.605832\pi\)
\(564\) −12.7090 + 8.52717i −0.535147 + 0.359059i
\(565\) −0.962328 + 13.9300i −0.0404854 + 0.586041i
\(566\) 1.13524 6.71964i 0.0477179 0.282448i
\(567\) −39.4890 15.8320i −1.65838 0.664883i
\(568\) −8.18691 + 43.0491i −0.343515 + 1.80630i
\(569\) 18.9950 6.17185i 0.796312 0.258737i 0.117522 0.993070i \(-0.462505\pi\)
0.678789 + 0.734333i \(0.262505\pi\)
\(570\) −4.20732 5.10441i −0.176225 0.213800i
\(571\) −4.17672 1.35710i −0.174790 0.0567928i 0.220314 0.975429i \(-0.429292\pi\)
−0.395105 + 0.918636i \(0.629292\pi\)
\(572\) −13.2041 18.9830i −0.552091 0.793719i
\(573\) −28.3002 9.72343i −1.18226 0.406202i
\(574\) 19.4123 9.64089i 0.810254 0.402403i
\(575\) 0.719413 + 4.04030i 0.0300016 + 0.168492i
\(576\) 15.8900 17.9863i 0.662083 0.749431i
\(577\) 20.3805 14.8073i 0.848452 0.616437i −0.0762666 0.997087i \(-0.524300\pi\)
0.924719 + 0.380651i \(0.124300\pi\)
\(578\) −3.45264 23.3509i −0.143611 0.971268i
\(579\) 4.97890 1.52584i 0.206916 0.0634117i
\(580\) −21.5102 18.7846i −0.893162 0.779989i
\(581\) 1.73242 0.562896i 0.0718728 0.0233529i
\(582\) −33.5768 18.2694i −1.39180 0.757292i
\(583\) 23.6295 7.67769i 0.978634 0.317978i
\(584\) 20.8433 19.5953i 0.862502 0.810858i
\(585\) −22.6833 + 13.1621i −0.937839 + 0.544185i
\(586\) 36.7136 + 19.1846i 1.51662 + 0.792509i
\(587\) −3.48619 2.53287i −0.143891 0.104543i 0.513511 0.858083i \(-0.328345\pi\)
−0.657402 + 0.753540i \(0.728345\pi\)
\(588\) 41.8107 + 32.8312i 1.72425 + 1.35394i
\(589\) −4.54905 + 3.30508i −0.187440 + 0.136183i
\(590\) −1.64515 + 2.68032i −0.0677296 + 0.110347i
\(591\) −2.90729 0.0488053i −0.119590 0.00200758i
\(592\) −14.4595 + 9.62254i −0.594282 + 0.395484i
\(593\) 1.44492i 0.0593356i 0.999560 + 0.0296678i \(0.00944494\pi\)
−0.999560 + 0.0296678i \(0.990555\pi\)
\(594\) 18.7301 + 11.0217i 0.768507 + 0.452224i
\(595\) 4.50376 + 3.77266i 0.184636 + 0.154664i
\(596\) −7.70837 + 5.36175i −0.315747 + 0.219626i
\(597\) 9.58216 + 31.2671i 0.392172 + 1.27968i
\(598\) 2.10162 4.02188i 0.0859418 0.164467i
\(599\) 4.78359 0.195452 0.0977261 0.995213i \(-0.468843\pi\)
0.0977261 + 0.995213i \(0.468843\pi\)
\(600\) 0.698134 24.4849i 0.0285012 0.999594i
\(601\) −5.10574 −0.208267 −0.104134 0.994563i \(-0.533207\pi\)
−0.104134 + 0.994563i \(0.533207\pi\)
\(602\) −30.4411 + 58.2551i −1.24069 + 2.37430i
\(603\) 1.12747 1.44708i 0.0459142 0.0589295i
\(604\) −12.2777 + 8.54003i −0.499571 + 0.347489i
\(605\) −1.22331 4.88892i −0.0497345 0.198763i
\(606\) −1.30323 0.242739i −0.0529400 0.00986059i
\(607\) 28.3746i 1.15169i −0.817559 0.575844i \(-0.804673\pi\)
0.817559 0.575844i \(-0.195327\pi\)
\(608\) −5.91973 3.41035i −0.240077 0.138308i
\(609\) −0.877584 + 52.2770i −0.0355615 + 2.11837i
\(610\) 11.1724 + 13.1003i 0.452359 + 0.530415i
\(611\) 13.9735 10.1524i 0.565309 0.410721i
\(612\) −3.33000 0.180461i −0.134607 0.00729469i
\(613\) 17.6715 + 12.8391i 0.713746 + 0.518567i 0.884380 0.466768i \(-0.154582\pi\)
−0.170634 + 0.985334i \(0.554582\pi\)
\(614\) 0.799088 + 0.417562i 0.0322485 + 0.0168514i
\(615\) 2.84311 + 12.2307i 0.114645 + 0.493190i
\(616\) −27.0844 28.8094i −1.09126 1.16076i
\(617\) 12.5336 4.07242i 0.504584 0.163949i −0.0456535 0.998957i \(-0.514537\pi\)
0.550238 + 0.835008i \(0.314537\pi\)
\(618\) −5.33409 + 9.80335i −0.214568 + 0.394349i
\(619\) −17.4954 + 5.68459i −0.703199 + 0.228483i −0.638724 0.769436i \(-0.720537\pi\)
−0.0644749 + 0.997919i \(0.520537\pi\)
\(620\) −20.7383 1.86192i −0.832871 0.0747765i
\(621\) −0.214674 + 4.25944i −0.00861455 + 0.170925i
\(622\) −4.82325 32.6206i −0.193395 1.30797i
\(623\) 37.8826 27.5233i 1.51773 1.10270i
\(624\) −17.1623 + 20.9543i −0.687041 + 0.838841i
\(625\) −15.4576 19.6485i −0.618305 0.785938i
\(626\) 29.7935 14.7966i 1.19079 0.591392i
\(627\) 2.01016 5.85061i 0.0802780 0.233651i
\(628\) −3.68908 5.30364i −0.147211 0.211638i
\(629\) 2.29532 + 0.745793i 0.0915202 + 0.0297367i
\(630\) −35.0795 + 27.9389i −1.39760 + 1.11311i
\(631\) −14.0665 + 4.57049i −0.559979 + 0.181948i −0.575312 0.817934i \(-0.695119\pi\)
0.0153325 + 0.999882i \(0.495119\pi\)
\(632\) −41.7559 7.94099i −1.66096 0.315875i
\(633\) 3.84774 + 2.89546i 0.152934 + 0.115084i
\(634\) 1.35521 8.02167i 0.0538224 0.318581i
\(635\) −22.2682 8.97518i −0.883686 0.356169i
\(636\) −16.2148 24.1668i −0.642958 0.958275i
\(637\) −48.5368 35.2641i −1.92310 1.39721i
\(638\) 4.44905 26.3344i 0.176139 1.04259i
\(639\) 12.8709 + 44.6612i 0.509167 + 1.76677i
\(640\) −8.20433 23.9309i −0.324305 0.945953i
\(641\) −20.0413 + 27.5845i −0.791583 + 1.08952i 0.202326 + 0.979318i \(0.435150\pi\)
−0.993909 + 0.110202i \(0.964850\pi\)
\(642\) 3.02340 16.2322i 0.119324 0.640632i
\(643\) 4.06227i 0.160200i −0.996787 0.0801001i \(-0.974476\pi\)
0.996787 0.0801001i \(-0.0255240\pi\)
\(644\) 2.54920 7.32916i 0.100452 0.288809i
\(645\) −28.7764 24.9389i −1.13307 0.981966i
\(646\) 0.138854 + 0.939094i 0.00546312 + 0.0369482i
\(647\) −8.68537 + 26.7308i −0.341457 + 1.05090i 0.621996 + 0.783020i \(0.286322\pi\)
−0.963453 + 0.267876i \(0.913678\pi\)
\(648\) 6.42296 24.6322i 0.252318 0.967644i
\(649\) −2.94118 −0.115451
\(650\) 0.244614 + 27.6429i 0.00959455 + 1.08425i
\(651\) 21.8861 + 31.2122i 0.857784 + 1.22330i
\(652\) −29.3862 0.604508i −1.15085 0.0236743i
\(653\) 0.961734 + 0.312486i 0.0376356 + 0.0122285i 0.327774 0.944756i \(-0.393701\pi\)
−0.290139 + 0.956985i \(0.593701\pi\)
\(654\) 6.64657 6.29613i 0.259901 0.246198i
\(655\) −19.0284 15.9395i −0.743500 0.622807i
\(656\) 7.18484 + 10.7964i 0.280521 + 0.421530i
\(657\) 10.3400 28.5273i 0.403400 1.11295i
\(658\) 21.0986 20.6691i 0.822510 0.805764i
\(659\) −15.8356 11.5053i −0.616869 0.448182i 0.234957 0.972006i \(-0.424505\pi\)
−0.851827 + 0.523824i \(0.824505\pi\)
\(660\) 19.8572 11.4220i 0.772941 0.444603i
\(661\) 13.7758 10.0087i 0.535816 0.389293i −0.286713 0.958017i \(-0.592563\pi\)
0.822529 + 0.568724i \(0.192563\pi\)
\(662\) −0.241535 + 1.42968i −0.00938754 + 0.0555659i
\(663\) 3.76309 + 0.0631718i 0.146146 + 0.00245339i
\(664\) 0.464617 + 0.985918i 0.0180306 + 0.0382610i
\(665\) 9.78603 + 8.19746i 0.379486 + 0.317884i
\(666\) −9.07512 + 16.0319i −0.351654 + 0.621224i
\(667\) 4.98469 1.61962i 0.193008 0.0627121i
\(668\) −1.28067 + 1.68854i −0.0495505 + 0.0653314i
\(669\) 16.2013 + 12.1916i 0.626377 + 0.471353i
\(670\) −0.738707 1.78702i −0.0285387 0.0690387i
\(671\) −4.97578 + 15.3139i −0.192088 + 0.591186i
\(672\) −23.7910 + 39.7393i −0.917756 + 1.53298i
\(673\) −2.43636 + 1.77012i −0.0939149 + 0.0682331i −0.633752 0.773537i \(-0.718486\pi\)
0.539837 + 0.841770i \(0.318486\pi\)
\(674\) 24.4339 12.1348i 0.941160 0.467416i
\(675\) −11.0666 23.5060i −0.425953 0.904745i
\(676\) 2.76025 3.63933i 0.106163 0.139974i
\(677\) −11.6857 16.0840i −0.449119 0.618159i 0.523089 0.852278i \(-0.324780\pi\)
−0.972208 + 0.234119i \(0.924780\pi\)
\(678\) 10.5192 + 11.1047i 0.403986 + 0.426472i
\(679\) 70.1588 + 22.7960i 2.69245 + 0.874830i
\(680\) −1.90011 + 2.95749i −0.0728657 + 0.113415i
\(681\) 22.0384 29.2866i 0.844514 1.12227i
\(682\) −8.66153 17.4403i −0.331667 0.667824i
\(683\) −1.22546 3.77158i −0.0468909 0.144315i 0.924870 0.380284i \(-0.124174\pi\)
−0.971761 + 0.235969i \(0.924174\pi\)
\(684\) −7.23561 0.392116i −0.276661 0.0149929i
\(685\) 2.95996 42.8465i 0.113094 1.63708i
\(686\) −49.4509 25.8405i −1.88805 0.986595i
\(687\) 0.808193 48.1434i 0.0308345 1.83679i
\(688\) −36.8717 13.6810i −1.40572 0.521581i
\(689\) 19.3052 + 26.5713i 0.735468 + 1.01229i
\(690\) 3.79138 + 2.41564i 0.144335 + 0.0919619i
\(691\) −3.57072 + 4.91468i −0.135837 + 0.186963i −0.871516 0.490366i \(-0.836863\pi\)
0.735680 + 0.677330i \(0.236863\pi\)
\(692\) 12.8513 36.9485i 0.488531 1.40457i
\(693\) −39.4301 14.2918i −1.49783 0.542900i
\(694\) −1.21596 1.24123i −0.0461572 0.0471164i
\(695\) −9.04848 3.64699i −0.343228 0.138338i
\(696\) −31.0964 + 3.41689i −1.17871 + 0.129517i
\(697\) 0.556859 1.71384i 0.0210925 0.0649162i
\(698\) −16.5028 + 31.5814i −0.624640 + 1.19537i
\(699\) −10.2247 + 7.16962i −0.386735 + 0.271180i
\(700\) 7.32789 + 46.7002i 0.276968 + 1.76510i
\(701\) 21.6026i 0.815921i −0.913000 0.407960i \(-0.866240\pi\)
0.913000 0.407960i \(-0.133760\pi\)
\(702\) −6.20549 + 28.0503i −0.234211 + 1.05869i
\(703\) 4.98740 + 1.62050i 0.188103 + 0.0611184i
\(704\) 15.0604 18.2467i 0.567609 0.687698i
\(705\) 8.83497 + 14.6538i 0.332744 + 0.551893i
\(706\) 30.5814 29.9588i 1.15095 1.12751i
\(707\) 2.55830 0.0962147
\(708\) 0.941491 + 3.31396i 0.0353834 + 0.124546i
\(709\) −27.4257 19.9260i −1.02999 0.748335i −0.0616869 0.998096i \(-0.519648\pi\)
−0.968308 + 0.249761i \(0.919648\pi\)
\(710\) 47.6311 + 11.4714i 1.78756 + 0.430513i
\(711\) −43.3196 + 12.4843i −1.62461 + 0.468199i
\(712\) 19.1907 + 20.4129i 0.719201 + 0.765007i
\(713\) 2.24617 3.09158i 0.0841196 0.115781i
\(714\) 6.38153 0.834369i 0.238823 0.0312255i
\(715\) −21.9131 + 13.7184i −0.819503 + 0.513039i
\(716\) 18.1783 5.49581i 0.679355 0.205388i
\(717\) 14.3359 19.0509i 0.535386 0.711469i
\(718\) 26.6078 13.2144i 0.992992 0.493158i
\(719\) 12.2302 + 37.6406i 0.456108 + 1.40376i 0.869829 + 0.493353i \(0.164229\pi\)
−0.413721 + 0.910404i \(0.635771\pi\)
\(720\) −19.2262 18.7178i −0.716517 0.697569i
\(721\) 6.65570 20.4841i 0.247871 0.762869i
\(722\) −3.62854 24.5405i −0.135040 0.913305i
\(723\) −24.8563 8.54015i −0.924415 0.317611i
\(724\) −23.3543 + 30.7922i −0.867956 + 1.14438i
\(725\) −22.1409 + 23.0048i −0.822292 + 0.854375i
\(726\) −4.84930 2.63855i −0.179975 0.0979257i
\(727\) 19.2803 + 26.5370i 0.715066 + 0.984203i 0.999673 + 0.0255594i \(0.00813668\pi\)
−0.284608 + 0.958644i \(0.591863\pi\)
\(728\) 25.1560 45.8197i 0.932343 1.69819i
\(729\) −5.71937 26.3873i −0.211828 0.977307i
\(730\) −20.7550 24.3363i −0.768175 0.900726i
\(731\) 1.68871 + 5.19730i 0.0624590 + 0.192229i
\(732\) 18.8476 + 0.704359i 0.696628 + 0.0260339i
\(733\) 10.6589 + 32.8046i 0.393694 + 1.21167i 0.929974 + 0.367625i \(0.119829\pi\)
−0.536280 + 0.844040i \(0.680171\pi\)
\(734\) −0.0917698 + 0.543196i −0.00338729 + 0.0200497i
\(735\) 38.9253 44.9150i 1.43578 1.65671i
\(736\) 4.54242 + 0.961063i 0.167436 + 0.0354253i
\(737\) 1.06295 1.46303i 0.0391544 0.0538914i
\(738\) 11.9705 + 6.77609i 0.440640 + 0.249431i
\(739\) −5.12509 7.05408i −0.188530 0.259489i 0.704281 0.709922i \(-0.251270\pi\)
−0.892810 + 0.450433i \(0.851270\pi\)
\(740\) 9.96351 + 16.6678i 0.366266 + 0.612722i
\(741\) 8.17667 + 0.137263i 0.300378 + 0.00504250i
\(742\) 39.3031 + 40.1199i 1.44286 + 1.47285i
\(743\) 0.480665 0.0176339 0.00881694 0.999961i \(-0.497193\pi\)
0.00881694 + 0.999961i \(0.497193\pi\)
\(744\) −16.8782 + 15.3421i −0.618784 + 0.562469i
\(745\) 5.57060 + 8.89818i 0.204091 + 0.326004i
\(746\) −4.78717 32.3766i −0.175271 1.18539i
\(747\) 0.911909 + 0.710502i 0.0333650 + 0.0259959i
\(748\) −3.28683 0.0676139i −0.120178 0.00247221i
\(749\) 31.8645i 1.16430i
\(750\) −27.3052 2.10420i −0.997044 0.0768343i
\(751\) 23.7249i 0.865735i −0.901458 0.432868i \(-0.857502\pi\)
0.901458 0.432868i \(-0.142498\pi\)
\(752\) 13.8579 + 10.9667i 0.505345 + 0.399914i
\(753\) 19.2224 5.89092i 0.700504 0.214677i
\(754\) 34.9257 5.16408i 1.27192 0.188065i
\(755\) 8.87268 + 14.1728i 0.322910 + 0.515799i
\(756\) −3.48136 + 49.0026i −0.126616 + 1.78221i
\(757\) 19.1634 0.696505 0.348252 0.937401i \(-0.386775\pi\)
0.348252 + 0.937401i \(0.386775\pi\)
\(758\) 20.7957 20.3723i 0.755332 0.739954i
\(759\) −0.0705682 + 4.20369i −0.00256146 + 0.152584i
\(760\) −4.12866 + 6.42621i −0.149762 + 0.233103i
\(761\) 0.518237 + 0.713292i 0.0187861 + 0.0258568i 0.818307 0.574782i \(-0.194913\pi\)
−0.799521 + 0.600639i \(0.794913\pi\)
\(762\) −23.7484 + 11.3015i −0.860314 + 0.409410i
\(763\) −10.3851 + 14.2939i −0.375968 + 0.517475i
\(764\) −0.710651 + 34.5460i −0.0257105 + 1.24983i
\(765\) −0.381669 + 3.70893i −0.0137993 + 0.134097i
\(766\) 39.8013 + 6.72420i 1.43808 + 0.242955i
\(767\) −1.20146 3.69772i −0.0433823 0.133517i
\(768\) −25.3803 11.1283i −0.915833 0.401558i
\(769\) −4.35809 13.4128i −0.157157 0.483679i 0.841216 0.540699i \(-0.181840\pi\)
−0.998373 + 0.0570200i \(0.981840\pi\)
\(770\) −33.6374 + 28.6873i −1.21221 + 1.03382i
\(771\) −0.442820 1.44495i −0.0159478 0.0520385i
\(772\) −3.43359 4.93633i −0.123578 0.177662i
\(773\) −18.3307 25.2300i −0.659309 0.907461i 0.340149 0.940371i \(-0.389522\pi\)
−0.999458 + 0.0329106i \(0.989522\pi\)
\(774\) −41.4466 +