Properties

Label 300.2.n.a.11.3
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 11.3
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39445 + 0.235585i) q^{2} +(-1.04145 - 1.38397i) q^{3} +(1.88900 - 0.657024i) q^{4} +(1.89530 - 1.18653i) q^{5} +(1.77830 + 1.68454i) q^{6} +4.72716i q^{7} +(-2.47934 + 1.36121i) q^{8} +(-0.830762 + 2.88268i) q^{9} +O(q^{10})\) \(q+(-1.39445 + 0.235585i) q^{2} +(-1.04145 - 1.38397i) q^{3} +(1.88900 - 0.657024i) q^{4} +(1.89530 - 1.18653i) q^{5} +(1.77830 + 1.68454i) q^{6} +4.72716i q^{7} +(-2.47934 + 1.36121i) q^{8} +(-0.830762 + 2.88268i) q^{9} +(-2.36338 + 2.10106i) q^{10} +(2.39258 - 1.73831i) q^{11} +(-2.87660 - 1.93007i) q^{12} +(3.16282 + 2.29792i) q^{13} +(-1.11365 - 6.59181i) q^{14} +(-3.61598 - 1.38733i) q^{15} +(3.13664 - 2.48223i) q^{16} +(-0.528610 + 0.171756i) q^{17} +(0.479344 - 4.21547i) q^{18} +(-1.14860 + 0.373201i) q^{19} +(2.80064 - 3.48661i) q^{20} +(6.54227 - 4.92311i) q^{21} +(-2.92683 + 2.98765i) 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} +(4.85475 - 1.85241i) q^{27} +(3.10586 + 8.92961i) q^{28} +(6.07319 + 1.97330i) q^{29} +(5.36915 + 1.08270i) q^{30} +(4.42801 - 1.43875i) q^{31} +(-3.78912 + 4.20030i) q^{32} +(-4.89754 - 1.50090i) q^{33} +(0.696659 - 0.364038i) q^{34} +(5.60891 + 8.95938i) q^{35} +(0.324678 + 5.99121i) q^{36} +(3.51289 + 2.55226i) q^{37} +(1.51374 - 0.791004i) q^{38} +(-0.113656 - 6.77042i) q^{39} +(-3.08397 + 5.52170i) q^{40} +(-1.90569 + 2.62296i) q^{41} +(-7.96308 + 8.40630i) q^{42} -9.83201i q^{43} +(3.37748 - 4.85566i) q^{44} +(1.84584 + 6.44925i) q^{45} +(0.812286 - 0.829167i) q^{46} +(1.36526 - 4.20183i) q^{47} +(-6.70200 - 1.75590i) q^{48} -15.3461 q^{49} +(-1.98633 + 6.78634i) q^{50} +(0.788227 + 0.552707i) q^{51} +(7.48435 + 2.26273i) q^{52} +(-7.98997 - 2.59610i) q^{53} +(-6.33332 + 3.72681i) q^{54} +(2.47210 - 6.13349i) q^{55} +(-6.43465 - 11.7202i) q^{56} +(1.71271 + 1.20095i) q^{57} +(-8.93365 - 1.32092i) q^{58} +(-0.804579 - 0.584561i) q^{59} +(-7.74209 - 0.244882i) q^{60} +(-4.40480 + 3.20028i) q^{61} +(-5.83570 + 3.04943i) q^{62} +(-13.6269 - 3.92715i) q^{63} +(4.29422 - 6.74979i) q^{64} +(8.72102 + 0.602474i) q^{65} +(7.18298 + 0.939156i) q^{66} +(-0.581557 + 0.188959i) q^{67} +(-0.885697 + 0.671757i) q^{68} +(1.35922 + 0.416548i) q^{69} +(-9.93206 - 11.1721i) q^{70} +(-4.78758 + 14.7347i) q^{71} +(-1.86419 - 8.27797i) q^{72} +(8.18277 - 5.94513i) q^{73} +(-5.49983 - 2.73143i) q^{74} +(-8.49946 + 1.66106i) q^{75} +(-1.92450 + 1.45963i) q^{76} +(8.21730 + 11.3101i) q^{77} +(1.75350 + 9.41426i) q^{78} +(14.2920 + 4.64377i) q^{79} +(2.99962 - 8.42628i) q^{80} +(-7.61967 - 4.78964i) q^{81} +(2.03947 - 4.10654i) q^{82} +(0.119077 + 0.366481i) q^{83} +(9.12374 - 13.5982i) q^{84} +(-0.798081 + 0.952740i) q^{85} +(2.31627 + 13.7103i) q^{86} +(-3.59393 - 10.4602i) q^{87} +(-3.56582 + 7.56667i) q^{88} +(-5.82238 - 8.01381i) q^{89} +(-4.09328 - 8.55833i) q^{90} +(-10.8626 + 14.9511i) q^{91} +(-0.937355 + 1.34760i) q^{92} +(-6.60273 - 4.62986i) q^{93} +(-0.913902 + 6.18090i) q^{94} +(-1.73412 + 2.07017i) q^{95} +(9.75929 + 0.869632i) q^{96} +(-4.82234 + 14.8416i) q^{97} +(21.3994 - 3.61530i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39445 + 0.235585i −0.986027 + 0.166584i
\(3\) −1.04145 1.38397i −0.601282 0.799037i
\(4\) 1.88900 0.657024i 0.944500 0.328512i
\(5\) 1.89530 1.18653i 0.847603 0.530631i
\(6\) 1.77830 + 1.68454i 0.725987 + 0.687709i
\(7\) 4.72716i 1.78670i 0.449361 + 0.893350i \(0.351652\pi\)
−0.449361 + 0.893350i \(0.648348\pi\)
\(8\) −2.47934 + 1.36121i −0.876578 + 0.481260i
\(9\) −0.830762 + 2.88268i −0.276921 + 0.960893i
\(10\) −2.36338 + 2.10106i −0.747365 + 0.664414i
\(11\) 2.39258 1.73831i 0.721391 0.524122i −0.165437 0.986220i \(-0.552903\pi\)
0.886828 + 0.462099i \(0.152903\pi\)
\(12\) −2.87660 1.93007i −0.830404 0.557162i
\(13\) 3.16282 + 2.29792i 0.877207 + 0.637328i 0.932511 0.361141i \(-0.117613\pi\)
−0.0553039 + 0.998470i \(0.517613\pi\)
\(14\) −1.11365 6.59181i −0.297635 1.76174i
\(15\) −3.61598 1.38733i −0.933642 0.358207i
\(16\) 3.13664 2.48223i 0.784160 0.620559i
\(17\) −0.528610 + 0.171756i −0.128207 + 0.0416569i −0.372418 0.928065i \(-0.621471\pi\)
0.244211 + 0.969722i \(0.421471\pi\)
\(18\) 0.479344 4.21547i 0.112982 0.993597i
\(19\) −1.14860 + 0.373201i −0.263506 + 0.0856183i −0.437790 0.899077i \(-0.644239\pi\)
0.174284 + 0.984695i \(0.444239\pi\)
\(20\) 2.80064 3.48661i 0.626242 0.779629i
\(21\) 6.54227 4.92311i 1.42764 1.07431i
\(22\) −2.92683 + 2.98765i −0.624002 + 0.636970i
\(23\) −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
\(27\) 4.85475 1.85241i 0.934296 0.356497i
\(28\) 3.10586 + 8.92961i 0.586952 + 1.68754i
\(29\) 6.07319 + 1.97330i 1.12776 + 0.366432i 0.812725 0.582647i \(-0.197983\pi\)
0.315037 + 0.949079i \(0.397983\pi\)
\(30\) 5.36915 + 1.08270i 0.980268 + 0.197673i
\(31\) 4.42801 1.43875i 0.795293 0.258406i 0.116937 0.993139i \(-0.462693\pi\)
0.678356 + 0.734733i \(0.262693\pi\)
\(32\) −3.78912 + 4.20030i −0.669828 + 0.742516i
\(33\) −4.89754 1.50090i −0.852552 0.261274i
\(34\) 0.696659 0.364038i 0.119476 0.0624320i
\(35\) 5.60891 + 8.95938i 0.948079 + 1.51441i
\(36\) 0.324678 + 5.99121i 0.0541131 + 0.998535i
\(37\) 3.51289 + 2.55226i 0.577515 + 0.419589i 0.837827 0.545935i \(-0.183826\pi\)
−0.260312 + 0.965524i \(0.583826\pi\)
\(38\) 1.51374 0.791004i 0.245561 0.128318i
\(39\) −0.113656 6.77042i −0.0181996 1.08414i
\(40\) −3.08397 + 5.52170i −0.487618 + 0.873057i
\(41\) −1.90569 + 2.62296i −0.297619 + 0.409637i −0.931470 0.363818i \(-0.881473\pi\)
0.633851 + 0.773455i \(0.281473\pi\)
\(42\) −7.96308 + 8.40630i −1.22873 + 1.29712i
\(43\) 9.83201i 1.49937i −0.661796 0.749684i \(-0.730206\pi\)
0.661796 0.749684i \(-0.269794\pi\)
\(44\) 3.37748 4.85566i 0.509174 0.732018i
\(45\) 1.84584 + 6.44925i 0.275161 + 0.961398i
\(46\) 0.812286 0.829167i 0.119765 0.122254i
\(47\) 1.36526 4.20183i 0.199143 0.612901i −0.800760 0.598986i \(-0.795571\pi\)
0.999903 0.0139148i \(-0.00442937\pi\)
\(48\) −6.70200 1.75590i −0.967350 0.253442i
\(49\) −15.3461 −2.19230
\(50\) −1.98633 + 6.78634i −0.280910 + 0.959734i
\(51\) 0.788227 + 0.552707i 0.110374 + 0.0773945i
\(52\) 7.48435 + 2.26273i 1.03789 + 0.313784i
\(53\) −7.98997 2.59610i −1.09751 0.356601i −0.296364 0.955075i \(-0.595774\pi\)
−0.801142 + 0.598474i \(0.795774\pi\)
\(54\) −6.33332 + 3.72681i −0.861855 + 0.507154i
\(55\) 2.47210 6.13349i 0.333338 0.827040i
\(56\) −6.43465 11.7202i −0.859867 1.56618i
\(57\) 1.71271 + 1.20095i 0.226853 + 0.159070i
\(58\) −8.93365 1.32092i −1.17305 0.173446i
\(59\) −0.804579 0.584561i −0.104747 0.0761034i 0.534179 0.845372i \(-0.320621\pi\)
−0.638926 + 0.769268i \(0.720621\pi\)
\(60\) −7.74209 0.244882i −0.999500 0.0316142i
\(61\) −4.40480 + 3.20028i −0.563977 + 0.409754i −0.832913 0.553405i \(-0.813328\pi\)
0.268935 + 0.963158i \(0.413328\pi\)
\(62\) −5.83570 + 3.04943i −0.741135 + 0.387279i
\(63\) −13.6269 3.92715i −1.71683 0.494774i
\(64\) 4.29422 6.74979i 0.536778 0.843723i
\(65\) 8.72102 + 0.602474i 1.08171 + 0.0747277i
\(66\) 7.18298 + 0.939156i 0.884164 + 0.115602i
\(67\) −0.581557 + 0.188959i −0.0710484 + 0.0230850i −0.344326 0.938850i \(-0.611892\pi\)
0.273277 + 0.961935i \(0.411892\pi\)
\(68\) −0.885697 + 0.671757i −0.107407 + 0.0814624i
\(69\) 1.35922 + 0.416548i 0.163631 + 0.0501464i
\(70\) −9.93206 11.1721i −1.18711 1.33532i
\(71\) −4.78758 + 14.7347i −0.568181 + 1.74868i 0.0901228 + 0.995931i \(0.471274\pi\)
−0.658304 + 0.752752i \(0.728726\pi\)
\(72\) −1.86419 8.27797i −0.219696 0.975568i
\(73\) 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
\(75\) −8.49946 + 1.66106i −0.981434 + 0.191802i
\(76\) −1.92450 + 1.45963i −0.220755 + 0.167431i
\(77\) 8.21730 + 11.3101i 0.936448 + 1.28891i
\(78\) 1.75350 + 9.41426i 0.198544 + 1.06596i
\(79\) 14.2920 + 4.64377i 1.60798 + 0.522465i 0.969064 0.246811i \(-0.0793826\pi\)
0.638917 + 0.769275i \(0.279383\pi\)
\(80\) 2.99962 8.42628i 0.335368 0.942087i
\(81\) −7.61967 4.78964i −0.846630 0.532182i
\(82\) 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 \(0.893268\pi\)
\(84\) 9.12374 13.5982i 0.995482 1.48368i
\(85\) −0.798081 + 0.952740i −0.0865640 + 0.103339i
\(86\) 2.31627 + 13.7103i 0.249770 + 1.47842i
\(87\) −3.59393 10.4602i −0.385310 1.12145i
\(88\) −3.56582 + 7.56667i −0.380117 + 0.806610i
\(89\) −5.82238 8.01381i −0.617171 0.849463i 0.379972 0.924998i \(-0.375933\pi\)
−0.997143 + 0.0755352i \(0.975933\pi\)
\(90\) −4.09328 8.55833i −0.431469 0.902128i
\(91\) −10.8626 + 14.9511i −1.13871 + 1.56731i
\(92\) −0.937355 + 1.34760i −0.0977261 + 0.140497i
\(93\) −6.60273 4.62986i −0.684672 0.480094i
\(94\) −0.913902 + 6.18090i −0.0942618 + 0.637511i
\(95\) −1.73412 + 2.07017i −0.177917 + 0.212395i
\(96\) 9.75929 + 0.869632i 0.996053 + 0.0887564i
\(97\) −4.82234 + 14.8416i −0.489634 + 1.50694i 0.335521 + 0.942033i \(0.391088\pi\)
−0.825155 + 0.564906i \(0.808912\pi\)
\(98\) 21.3994 3.61530i 2.16167 0.365201i
\(99\) 3.02333 + 8.34118i 0.303856 + 0.838320i
\(100\) 1.17109 9.93119i 0.117109 0.993119i
\(101\) 0.541191i 0.0538505i −0.999637 0.0269253i \(-0.991428\pi\)
0.999637 0.0269253i \(-0.00857161\pi\)
\(102\) −1.22936 0.585030i −0.121724 0.0579266i
\(103\) −4.33328 1.40797i −0.426971 0.138731i 0.0876456 0.996152i \(-0.472066\pi\)
−0.514617 + 0.857420i \(0.672066\pi\)
\(104\) −10.9696 1.39207i −1.07566 0.136504i
\(105\) 6.55814 17.0933i 0.640009 1.66814i
\(106\) 11.7532 + 1.73782i 1.14158 + 0.168792i
\(107\) −6.74072 −0.651650 −0.325825 0.945430i \(-0.605642\pi\)
−0.325825 + 0.945430i \(0.605642\pi\)
\(108\) 7.95353 6.68889i 0.765329 0.643639i
\(109\) −3.02378 2.19691i −0.289626 0.210426i 0.433479 0.901164i \(-0.357286\pi\)
−0.723105 + 0.690738i \(0.757286\pi\)
\(110\) −2.00227 + 9.13526i −0.190909 + 0.871013i
\(111\) −0.126236 7.51980i −0.0119818 0.713747i
\(112\) 11.7339 + 14.8274i 1.10875 + 1.40106i
\(113\) −3.67046 + 5.05195i −0.345287 + 0.475247i −0.945976 0.324235i \(-0.894893\pi\)
0.600689 + 0.799483i \(0.294893\pi\)
\(114\) −2.67122 1.27119i −0.250182 0.119058i
\(115\) −0.686085 + 1.70223i −0.0639778 + 0.158734i
\(116\) 12.7687 0.262668i 1.18555 0.0243881i
\(117\) −9.25171 + 7.20836i −0.855321 + 0.666413i
\(118\) 1.25966 + 0.625597i 0.115961 + 0.0575908i
\(119\) −0.811919 2.49883i −0.0744285 0.229067i
\(120\) 10.8537 1.48244i 0.990801 0.135328i
\(121\) −0.696462 + 2.14349i −0.0633148 + 0.194863i
\(122\) 5.38836 5.50034i 0.487839 0.497978i
\(123\) 5.61478 0.0942565i 0.506268 0.00849882i
\(124\) 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 0.431309 0.902204i \(-0.358052\pi\)
−0.991329 + 0.131403i \(0.958052\pi\)
\(128\) −4.39795 + 10.4239i −0.388727 + 0.921353i
\(129\) −13.6072 + 10.2395i −1.19805 + 0.901542i
\(130\) −12.3030 + 1.21442i −1.07904 + 0.106511i
\(131\) 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
\(134\) 0.766438 0.400501i 0.0662101 0.0345980i
\(135\) 7.00325 9.27117i 0.602744 0.797935i
\(136\) 1.07681 1.14539i 0.0923355 0.0982164i
\(137\) 11.2897 15.5390i 0.964546 1.32758i 0.0197913 0.999804i \(-0.493700\pi\)
0.944754 0.327779i \(-0.106300\pi\)
\(138\) −1.99350 0.260645i −0.169698 0.0221876i
\(139\) −2.56446 3.52968i −0.217515 0.299383i 0.686290 0.727328i \(-0.259238\pi\)
−0.903805 + 0.427944i \(0.859238\pi\)
\(140\) 16.4818 + 13.2391i 1.39296 + 1.11891i
\(141\) −7.23707 + 2.48652i −0.609472 + 0.209403i
\(142\) 3.20480 21.6747i 0.268941 1.81890i
\(143\) 11.5618 0.966847
\(144\) 4.54968 + 11.1041i 0.379140 + 0.925339i
\(145\) 13.8519 3.46602i 1.15033 0.287837i
\(146\) −10.0099 + 10.2179i −0.828426 + 0.845642i
\(147\) 15.9822 + 21.2386i 1.31819 + 1.75173i
\(148\) 8.31274 + 2.51317i 0.683303 + 0.206581i
\(149\) 4.69487i 0.384619i 0.981334 + 0.192310i \(0.0615978\pi\)
−0.981334 + 0.192310i \(0.938402\pi\)
\(150\) 11.4608 4.31861i 0.935769 0.352613i
\(151\) 7.47785i 0.608539i 0.952586 + 0.304269i \(0.0984123\pi\)
−0.952586 + 0.304269i \(0.901588\pi\)
\(152\) 2.33975 2.48877i 0.189779 0.201866i
\(153\) −0.0559676 1.66650i −0.00452471 0.134729i
\(154\) −14.1231 13.8356i −1.13807 1.11490i
\(155\) 6.68527 7.98080i 0.536974 0.641033i
\(156\) −4.66302 12.7146i −0.373341 1.01799i
\(157\) 3.23025 0.257802 0.128901 0.991657i \(-0.458855\pi\)
0.128901 + 0.991657i \(0.458855\pi\)
\(158\) −21.0236 3.10853i −1.67255 0.247301i
\(159\) 4.72823 + 13.7616i 0.374973 + 1.09137i
\(160\) −2.19773 + 12.4567i −0.173746 + 0.984790i
\(161\) −2.28056 3.13892i −0.179733 0.247381i
\(162\) 11.7536 + 4.88385i 0.923453 + 0.383712i
\(163\) −8.63821 + 11.8895i −0.676597 + 0.931255i −0.999887 0.0150445i \(-0.995211\pi\)
0.323290 + 0.946300i \(0.395211\pi\)
\(164\) −1.87650 + 6.20685i −0.146530 + 0.484673i
\(165\) −11.0632 + 2.96641i −0.861266 + 0.230934i
\(166\) −0.252385 0.482988i −0.0195888 0.0374872i
\(167\) −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
\(170\) 0.888436 1.51657i 0.0681399 0.116315i
\(171\) −0.121610 3.62107i −0.00929972 0.276910i
\(172\) −6.45986 18.5727i −0.492560 1.41615i
\(173\) −11.4970 15.8242i −0.874098 1.20309i −0.978021 0.208508i \(-0.933139\pi\)
0.103923 0.994585i \(-0.466861\pi\)
\(174\) 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
\(177\) 0.0289127 + 1.72231i 0.00217321 + 0.129457i
\(178\) 10.0070 + 9.80323i 0.750054 + 0.734783i
\(179\) −2.93426 + 9.03072i −0.219317 + 0.674988i 0.779502 + 0.626400i \(0.215472\pi\)
−0.998819 + 0.0485880i \(0.984528\pi\)
\(180\) 7.72410 + 10.9699i 0.575720 + 0.817647i
\(181\) −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
\(183\) 9.01648 + 2.76320i 0.666518 + 0.204262i
\(184\) 0.989625 2.09999i 0.0729561 0.154813i
\(185\) 9.68630 + 0.669158i 0.712151 + 0.0491975i
\(186\) 10.2979 + 4.90062i 0.755081 + 0.359331i
\(187\) −0.966180 + 1.32983i −0.0706540 + 0.0972469i
\(188\) −0.181731 8.83427i −0.0132541 0.644305i
\(189\) 8.75667 + 22.9492i 0.636954 + 1.66931i
\(190\) 1.93045 3.29528i 0.140049 0.239065i
\(191\) −13.9771 10.1550i −1.01135 0.734788i −0.0468569 0.998902i \(-0.514920\pi\)
−0.964491 + 0.264114i \(0.914920\pi\)
\(192\) −13.8137 + 1.08648i −0.996921 + 0.0784098i
\(193\) 3.00653 0.216415 0.108207 0.994128i \(-0.465489\pi\)
0.108207 + 0.994128i \(0.465489\pi\)
\(194\) 3.22806 21.8320i 0.231762 1.56745i
\(195\) −8.24870 12.6971i −0.590702 0.909259i
\(196\) −28.9887 + 10.0827i −2.07062 + 0.720196i
\(197\) 1.59660 + 0.518766i 0.113753 + 0.0369606i 0.365340 0.930874i \(-0.380953\pi\)
−0.251587 + 0.967835i \(0.580953\pi\)
\(198\) −6.18095 10.9191i −0.439261 0.775989i
\(199\) 18.8808i 1.33842i −0.743072 0.669212i \(-0.766632\pi\)
0.743072 0.669212i \(-0.233368\pi\)
\(200\) 0.706605 + 14.1245i 0.0499645 + 0.998751i
\(201\) 0.867177 + 0.608067i 0.0611659 + 0.0428897i
\(202\) 0.127496 + 0.754666i 0.00897061 + 0.0530981i
\(203\) −9.32810 + 28.7089i −0.654704 + 2.01497i
\(204\) 1.85210 + 0.526180i 0.129673 + 0.0368400i
\(205\) −0.499638 + 7.23244i −0.0348962 + 0.505135i
\(206\) 6.37425 + 0.942492i 0.444115 + 0.0656665i
\(207\) −0.839069 2.31494i −0.0583193 0.160899i
\(208\) 15.6246 0.643104i 1.08337 0.0445912i
\(209\) −2.09937 + 2.88954i −0.145217 + 0.199873i
\(210\) −5.11809 + 25.3809i −0.353182 + 1.75145i
\(211\) −1.63417 2.24924i −0.112501 0.154844i 0.749053 0.662510i \(-0.230509\pi\)
−0.861554 + 0.507665i \(0.830509\pi\)
\(212\) −16.7987 + 0.345570i −1.15374 + 0.0237338i
\(213\) 25.3784 8.71954i 1.73890 0.597453i
\(214\) 9.39962 1.58801i 0.642545 0.108554i
\(215\) −11.6659 18.6346i −0.795611 1.27087i
\(216\) −9.51503 + 11.2011i −0.647416 + 0.762137i
\(217\) 6.80119 + 20.9319i 0.461695 + 1.42095i
\(218\) 4.73408 + 2.35113i 0.320633 + 0.159239i
\(219\) −16.7498 5.13317i −1.13185 0.346868i
\(220\) 0.639950 13.2104i 0.0431454 0.890644i
\(221\) −2.06658 0.671472i −0.139013 0.0451681i
\(222\) 1.94758 + 10.4563i 0.130713 + 0.701778i
\(223\) −6.88081 9.47063i −0.460773 0.634200i 0.513896 0.857853i \(-0.328202\pi\)
−0.974669 + 0.223653i \(0.928202\pi\)
\(224\) −19.8555 17.9118i −1.32665 1.19678i
\(225\) 11.1506 + 10.0331i 0.743375 + 0.668875i
\(226\) 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 \(0.0521739\pi\)
\(228\) 4.02436 + 1.14331i 0.266520 + 0.0757179i
\(229\) 8.59053 26.4389i 0.567678 1.74713i −0.0921790 0.995742i \(-0.529383\pi\)
0.659857 0.751391i \(-0.270617\pi\)
\(230\) 0.555693 2.53532i 0.0366413 0.167174i
\(231\) 7.09502 23.1515i 0.466818 1.52325i
\(232\) −17.7435 + 3.37440i −1.16492 + 0.221540i
\(233\) 6.85704 2.22799i 0.449220 0.145960i −0.0756657 0.997133i \(-0.524108\pi\)
0.524885 + 0.851173i \(0.324108\pi\)
\(234\) 11.2029 12.2313i 0.732357 0.799584i
\(235\) −2.39802 9.58364i −0.156430 0.625168i
\(236\) −1.90392 0.575608i −0.123935 0.0374689i
\(237\) −8.45761 24.6161i −0.549381 1.59899i
\(238\) 1.72087 + 3.29322i 0.111547 + 0.213468i
\(239\) 11.1364 8.09108i 0.720355 0.523368i −0.166143 0.986102i \(-0.553131\pi\)
0.886498 + 0.462733i \(0.153131\pi\)
\(240\) −14.7857 + 4.62416i −0.954413 + 0.298488i
\(241\) −12.2762 8.91917i −0.790779 0.574534i 0.117416 0.993083i \(-0.462539\pi\)
−0.908194 + 0.418549i \(0.862539\pi\)
\(242\) 0.466211 3.15307i 0.0299692 0.202687i
\(243\) 1.30677 + 15.5336i 0.0838296 + 0.996480i
\(244\) −6.21802 + 8.93939i −0.398068 + 0.572286i
\(245\) −29.0854 + 18.2086i −1.85820 + 1.16330i
\(246\) −7.80735 + 1.45419i −0.497778 + 0.0927160i
\(247\) −4.49038 1.45901i −0.285716 0.0928349i
\(248\) −9.02008 + 9.59457i −0.572776 + 0.609256i
\(249\) 0.383187 0.546471i 0.0242835 0.0346312i
\(250\) 4.28749 + 15.2190i 0.271165 + 0.962533i
\(251\) 11.6075 0.732661 0.366331 0.930485i \(-0.380614\pi\)
0.366331 + 0.930485i \(0.380614\pi\)
\(252\) −28.3214 + 1.53481i −1.78408 + 0.0966838i
\(253\) −0.750090 + 2.30854i −0.0471578 + 0.145137i
\(254\) 10.8469 + 10.6261i 0.680598 + 0.666741i
\(255\) 2.14973 + 0.112291i 0.134621 + 0.00703196i
\(256\) 3.67702 15.5718i 0.229814 0.973235i
\(257\) 0.872538i 0.0544274i 0.999630 + 0.0272137i \(0.00866346\pi\)
−0.999630 + 0.0272137i \(0.991337\pi\)
\(258\) 16.5624 17.4842i 1.03113 1.08852i
\(259\) −12.0650 + 16.6060i −0.749680 + 1.03185i
\(260\) 16.8698 4.59184i 1.04622 0.284774i
\(261\) −10.7338 + 15.8677i −0.664403 + 0.982186i
\(262\) −7.27067 13.9139i −0.449184 0.859602i
\(263\) 11.1421 + 8.09520i 0.687050 + 0.499171i 0.875689 0.482875i \(-0.160408\pi\)
−0.188639 + 0.982047i \(0.560408\pi\)
\(264\) 14.1857 2.94532i 0.873069 0.181272i
\(265\) −18.2237 + 4.55994i −1.11947 + 0.280115i
\(266\) 3.73920 + 7.15571i 0.229265 + 0.438745i
\(267\) −5.02719 + 16.4040i −0.307659 + 1.00391i
\(268\) −0.974410 + 0.739040i −0.0595215 + 0.0451441i
\(269\) 5.48763 1.78304i 0.334587 0.108714i −0.136905 0.990584i \(-0.543716\pi\)
0.471492 + 0.881870i \(0.343716\pi\)
\(270\) −7.58156 + 14.5781i −0.461399 + 0.887193i
\(271\) −21.3973 6.95241i −1.29979 0.422329i −0.424284 0.905529i \(-0.639474\pi\)
−0.875510 + 0.483201i \(0.839474\pi\)
\(272\) −1.23172 + 1.85087i −0.0746841 + 0.112226i
\(273\) 32.0049 0.537273i 1.93702 0.0325172i
\(274\) −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 \(0.305809\pi\)
\(278\) 4.40756 + 4.31782i 0.264348 + 0.258966i
\(279\) 0.468823 + 13.9598i 0.0280677 + 0.835750i
\(280\) −26.1020 14.5784i −1.55989 0.871228i
\(281\) −29.7848 + 9.67767i −1.77681 + 0.577322i −0.998708 0.0508130i \(-0.983819\pi\)
−0.778105 + 0.628135i \(0.783819\pi\)
\(282\) 9.50598 5.17228i 0.566073 0.308005i
\(283\) 4.58299 1.48910i 0.272430 0.0885180i −0.169616 0.985510i \(-0.554253\pi\)
0.442046 + 0.896992i \(0.354253\pi\)
\(284\) 0.637280 + 30.9793i 0.0378156 + 1.83828i
\(285\) 4.67105 + 0.243993i 0.276689 + 0.0144529i
\(286\) −16.1224 + 2.72379i −0.953338 + 0.161061i
\(287\) −12.3991 9.00851i −0.731899 0.531755i
\(288\) −8.96027 14.4123i −0.527989 0.849251i
\(289\) −13.5034 + 9.81077i −0.794315 + 0.577104i
\(290\) −18.4992 + 8.09649i −1.08631 + 0.475442i
\(291\) 25.5626 8.78284i 1.49851 0.514859i
\(292\) 11.5512 16.6066i 0.675980 0.971829i
\(293\) 29.2911i 1.71120i 0.517635 + 0.855602i \(0.326813\pi\)
−0.517635 + 0.855602i \(0.673187\pi\)
\(294\) −27.2899 25.8510i −1.59158 1.50766i
\(295\) −2.21852 0.153262i −0.129167 0.00892323i
\(296\) −12.1838 1.54615i −0.708169 0.0898680i
\(297\) 8.39531 12.8711i 0.487146 0.746859i
\(298\) −1.10604 6.54678i −0.0640712 0.379245i
\(299\) −3.20876 −0.185568
\(300\) −14.9641 + 8.72208i −0.863955 + 0.503570i
\(301\) 46.4775 2.67892
\(302\) −1.76167 10.4275i −0.101373 0.600036i
\(303\) −0.748994 + 0.563624i −0.0430286 + 0.0323793i
\(304\) −2.67636 + 4.02168i −0.153500 + 0.230659i
\(305\) −4.55120 + 11.2919i −0.260601 + 0.646572i
\(306\) 0.470647 + 2.31067i 0.0269051 + 0.132092i
\(307\) 0.637534i 0.0363860i 0.999834 + 0.0181930i \(0.00579133\pi\)
−0.999834 + 0.0181930i \(0.994209\pi\)
\(308\) 22.9535 + 15.9659i 1.30790 + 0.909741i
\(309\) 2.56431 + 7.46347i 0.145878 + 0.424582i
\(310\) −7.44215 + 12.7038i −0.422686 + 0.721528i
\(311\) −18.8639 + 13.7054i −1.06967 + 0.777161i −0.975853 0.218428i \(-0.929907\pi\)
−0.0938179 + 0.995589i \(0.529907\pi\)
\(312\) 9.49774 + 16.6314i 0.537704 + 0.941570i
\(313\) −19.0299 13.8260i −1.07563 0.781494i −0.0987180 0.995115i \(-0.531474\pi\)
−0.976917 + 0.213621i \(0.931474\pi\)
\(314\) −4.50443 + 0.760997i −0.254200 + 0.0429455i
\(315\) −30.4867 + 8.72557i −1.71773 + 0.491630i
\(316\) 30.0487 0.618137i 1.69037 0.0347729i
\(317\) 5.47100 1.77764i 0.307282 0.0998421i −0.151317 0.988485i \(-0.548351\pi\)
0.458599 + 0.888643i \(0.348351\pi\)
\(318\) −9.83531 18.0760i −0.551537 1.01365i
\(319\) 17.9608 5.83583i 1.00561 0.326744i
\(320\) 0.130023 17.8881i 0.00726852 0.999974i
\(321\) 7.02013 + 9.32898i 0.391825 + 0.520693i
\(322\) 3.91961 + 3.83981i 0.218431 + 0.213984i
\(323\) 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
\(327\) 0.108660 + 6.47281i 0.00600893 + 0.357947i
\(328\) 1.15446 9.09724i 0.0637442 0.502311i
\(329\) 19.8628 + 6.45380i 1.09507 + 0.355810i
\(330\) 14.7282 6.74282i 0.810762 0.371180i
\(331\) −0.975079 + 0.316822i −0.0535952 + 0.0174141i −0.335692 0.941972i \(-0.608970\pi\)
0.282097 + 0.959386i \(0.408970\pi\)
\(332\) 0.465723 + 0.614047i 0.0255599 + 0.0337002i
\(333\) −10.2757 + 8.00620i −0.563106 + 0.438737i
\(334\) 0.694020 + 1.32814i 0.0379751 + 0.0726728i
\(335\) −0.878017 + 1.04817i −0.0479712 + 0.0572675i
\(336\) 8.30043 31.6815i 0.452825 1.72837i
\(337\) −15.6066 11.3389i −0.850145 0.617667i 0.0750408 0.997180i \(-0.476091\pi\)
−0.925186 + 0.379514i \(0.876091\pi\)
\(338\) −1.49583 2.86257i −0.0813626 0.155704i
\(339\) 10.8144 0.181543i 0.587355 0.00986005i
\(340\) −0.881602 + 2.32408i −0.0478116 + 0.126041i
\(341\) 8.09339 11.1396i 0.438281 0.603243i
\(342\) 1.02265 + 5.02077i 0.0552985 + 0.271492i
\(343\) 39.4533i 2.13028i
\(344\) 13.3834 + 24.3769i 0.721585 + 1.31431i
\(345\) 3.07037 0.823270i 0.165303 0.0443234i
\(346\) 19.7599 + 19.3576i 1.06230 + 1.04067i
\(347\) −0.379677 + 1.16852i −0.0203821 + 0.0627297i −0.960730 0.277484i \(-0.910499\pi\)
0.940348 + 0.340214i \(0.110499\pi\)
\(348\) −13.6615 17.3980i −0.732336 0.932633i
\(349\) 25.1965 1.34874 0.674369 0.738395i \(-0.264416\pi\)
0.674369 + 0.738395i \(0.264416\pi\)
\(350\) −32.0802 9.38973i −1.71476 0.501902i
\(351\) 19.6114 + 5.29697i 1.04678 + 0.282732i
\(352\) −1.76434 + 16.6363i −0.0940398 + 0.886716i
\(353\) 28.7901 + 9.35448i 1.53234 + 0.497889i 0.949252 0.314517i \(-0.101843\pi\)
0.583092 + 0.812406i \(0.301843\pi\)
\(354\) −0.446067 2.39487i −0.0237082 0.127286i
\(355\) 8.40919 + 33.6072i 0.446314 + 1.78368i
\(356\) −16.2637 11.3127i −0.861976 0.599569i
\(357\) −2.61274 + 3.72608i −0.138281 + 0.197205i
\(358\) 1.96419 13.2842i 0.103811 0.702091i
\(359\) −16.9951 12.3476i −0.896966 0.651684i 0.0407191 0.999171i \(-0.487035\pi\)
−0.937685 + 0.347487i \(0.887035\pi\)
\(360\) −13.3552 13.4773i −0.703882 0.710317i
\(361\) −14.1913 + 10.3106i −0.746912 + 0.542663i
\(362\) 12.6562 + 24.2201i 0.665193 + 1.27298i
\(363\) 3.69186 1.26845i 0.193773 0.0665766i
\(364\) −10.6963 + 35.3797i −0.560637 + 1.85440i
\(365\) 8.45472 20.9769i 0.442540 1.09798i
\(366\) −13.2240 1.72901i −0.691231 0.0903767i
\(367\) −0.370475 + 0.120375i −0.0193386 + 0.00628351i −0.318670 0.947866i \(-0.603236\pi\)
0.299332 + 0.954149i \(0.403236\pi\)
\(368\) −0.885261 + 3.16148i −0.0461474 + 0.164803i
\(369\) −5.97797 7.67254i −0.311200 0.399417i
\(370\) −13.6647 + 1.34883i −0.710396 + 0.0701225i
\(371\) 12.2722 37.7699i 0.637140 1.96091i
\(372\) −15.5145 4.40765i −0.804389 0.228526i
\(373\) −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
\(375\) −14.1381 + 13.2330i −0.730090 + 0.683352i
\(376\) 2.33463 + 12.2762i 0.120400 + 0.633095i
\(377\) 14.6739 + 20.1969i 0.755744 + 1.04019i
\(378\) −17.6172 29.9386i −0.906133 1.53988i
\(379\) 19.5775 + 6.36113i 1.00563 + 0.326749i 0.765113 0.643896i \(-0.222683\pi\)
0.240517 + 0.970645i \(0.422683\pi\)
\(380\) −1.91560 + 5.04990i −0.0982680 + 0.259055i
\(381\) −5.44917 + 17.7809i −0.279169 + 0.910945i
\(382\) 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 \(-0.360121\pi\)
\(384\) 19.0067 4.76935i 0.969930 0.243385i
\(385\) 28.9940 + 11.6860i 1.47767 + 0.595575i
\(386\) −4.19246 + 0.708292i −0.213391 + 0.0360511i
\(387\) 28.3425 + 8.16806i 1.44073 + 0.415206i
\(388\) 0.641907 + 31.2042i 0.0325879 + 1.58415i
\(389\) −7.77318 10.6989i −0.394116 0.542454i 0.565139 0.824995i \(-0.308822\pi\)
−0.959255 + 0.282542i \(0.908822\pi\)
\(390\) 14.4937 + 15.7623i 0.733916 + 0.798153i
\(391\) 0.268145 0.369070i 0.0135607 0.0186647i
\(392\) 38.0481 20.8892i 1.92172 1.05506i
\(393\) 11.0388 15.7427i 0.556835 0.794114i
\(394\) −2.34859 0.347261i −0.118320 0.0174948i
\(395\) 32.5976 8.15659i 1.64017 0.410403i
\(396\) 11.1914 + 13.7701i 0.562390 + 0.691973i
\(397\) 0.489168 1.50550i 0.0245506 0.0755591i −0.938031 0.346553i \(-0.887352\pi\)
0.962581 + 0.270994i \(0.0873522\pi\)
\(398\) 4.44802 + 26.3284i 0.222959 + 1.31972i
\(399\) −5.67711 + 8.09624i −0.284211 + 0.405319i
\(400\) −4.31284 19.5295i −0.215642 0.976473i
\(401\) 0.673754i 0.0336457i −0.999858 0.0168228i \(-0.994645\pi\)
0.999858 0.0168228i \(-0.00535513\pi\)
\(402\) −1.35249 0.643627i −0.0674560 0.0321012i
\(403\) 17.3111 + 5.62471i 0.862327 + 0.280187i
\(404\) −0.355575 1.02231i −0.0176905 0.0508618i
\(405\) −20.1246 0.0368449i −0.999998 0.00183084i
\(406\) 6.24421 42.2308i 0.309895 2.09588i
\(407\) 12.8415 0.636530
\(408\) −2.70663 0.297406i −0.133998 0.0147238i
\(409\) 9.68951 + 7.03984i 0.479116 + 0.348098i 0.800983 0.598687i \(-0.204311\pi\)
−0.321868 + 0.946785i \(0.604311\pi\)
\(410\) −1.00713 10.2030i −0.0497386 0.503890i
\(411\) −33.2632 + 0.558396i −1.64075 + 0.0275436i
\(412\) −9.11064 + 0.187416i −0.448849 + 0.00923334i
\(413\) 2.76332 3.80338i 0.135974 0.187152i
\(414\) 1.71541 + 3.03040i 0.0843076 + 0.148936i
\(415\) 0.660526 + 0.553303i 0.0324240 + 0.0271606i
\(416\) −21.6363 + 4.57769i −1.06080 + 0.224440i
\(417\) −2.21422 + 7.22513i −0.108431 + 0.353816i
\(418\) 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 \(0.940133\pi\)
\(420\) 1.15760 36.5982i 0.0564851 1.78581i
\(421\) −3.17772 + 9.78003i −0.154873 + 0.476649i −0.998148 0.0608326i \(-0.980624\pi\)
0.843275 + 0.537482i \(0.180624\pi\)
\(422\) 2.80866 + 2.75148i 0.136723 + 0.133940i
\(423\) 10.9783 + 7.42633i 0.533785 + 0.361080i
\(424\) 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
\(428\) −12.7332 + 4.42881i −0.615483 + 0.214075i
\(429\) −12.0411 16.0012i −0.581348 0.772547i
\(430\) 20.6576 + 23.2367i 0.996200 + 1.12057i
\(431\) −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 \(-0.345802\pi\)
\(434\) −14.4152 27.5863i −0.691951 1.32419i
\(435\) −19.2229 15.5609i −0.921668 0.746089i
\(436\) −7.15535 2.16326i −0.342679 0.103601i
\(437\) 0.582641 0.801937i 0.0278715 0.0383618i
\(438\) 24.5662 + 3.21196i 1.17382 + 0.153473i
\(439\) 3.88565 + 5.34814i 0.185452 + 0.255253i 0.891613 0.452799i \(-0.149574\pi\)
−0.706161 + 0.708052i \(0.749574\pi\)
\(440\) 2.21979 + 18.5720i 0.105824 + 0.885387i
\(441\) 12.7489 44.2378i 0.607093 2.10656i
\(442\) 3.03994 + 0.449482i 0.144595 + 0.0213797i
\(443\) −33.7862 −1.60523 −0.802616 0.596497i \(-0.796559\pi\)
−0.802616 + 0.596497i \(0.796559\pi\)
\(444\) −5.17914 14.1220i −0.245791 0.670198i
\(445\) −20.5437 8.28015i −0.973867 0.392517i
\(446\) 11.8261 + 11.5853i 0.559982 + 0.548581i
\(447\) 6.49758 4.88948i 0.307325 0.231264i
\(448\) 31.9074 + 20.2995i 1.50748 + 0.959062i
\(449\) 2.40917i 0.113696i 0.998383 + 0.0568479i \(0.0181050\pi\)
−0.998383 + 0.0568479i \(0.981895\pi\)
\(450\) −17.9127 11.3638i −0.844412 0.535695i
\(451\) 9.58834i 0.451497i
\(452\) −3.61424 + 11.9547i −0.170000 + 0.562302i
\(453\) 10.3491 7.78781i 0.486245 0.365903i
\(454\) −20.9425 + 21.3778i −0.982881 + 1.00331i
\(455\) −2.84799 + 41.2257i −0.133516 + 1.93269i
\(456\) −5.88113 0.646222i −0.275409 0.0302621i
\(457\) −0.341439 −0.0159718 −0.00798591 0.999968i \(-0.502542\pi\)
−0.00798591 + 0.999968i \(0.502542\pi\)
\(458\) −5.75048 + 38.8916i −0.268702 + 1.81729i
\(459\) −2.24811 + 1.81304i −0.104933 + 0.0846253i
\(460\) −0.177606 + 3.66630i −0.00828093 + 0.170942i
\(461\) −14.1785 19.5150i −0.660358 0.908905i 0.339135 0.940738i \(-0.389866\pi\)
−0.999493 + 0.0318327i \(0.989866\pi\)
\(462\) −4.43954 + 33.9551i −0.206546 + 1.57974i
\(463\) 6.14463 8.45736i 0.285565 0.393047i −0.642002 0.766703i \(-0.721896\pi\)
0.927567 + 0.373656i \(0.121896\pi\)
\(464\) 23.9476 8.88555i 1.11174 0.412501i
\(465\) −18.0076 0.940629i −0.835082 0.0436206i
\(466\) −9.03694 + 4.72224i −0.418628 + 0.218754i
\(467\) 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
\(470\) 5.60169 + 12.7990i 0.258387 + 0.590374i
\(471\) −3.36414 4.47057i −0.155012 0.205993i
\(472\) 2.79053 + 0.354124i 0.128445 + 0.0162999i
\(473\) −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
\(477\) 14.1215 20.8758i 0.646578 0.955836i
\(478\) −13.6231 + 13.9062i −0.623105 + 0.636055i
\(479\) 4.29353 13.2141i 0.196176 0.603769i −0.803784 0.594921i \(-0.797183\pi\)
0.999961 0.00884836i \(-0.00281656\pi\)
\(480\) 19.5286 9.93146i 0.891355 0.453307i
\(481\) 5.24572 + 16.1447i 0.239184 + 0.736134i
\(482\) 19.2198 + 9.54529i 0.875437 + 0.434776i
\(483\) −1.96909 + 6.42525i −0.0895967 + 0.292359i
\(484\) 0.0927069 + 4.50665i 0.00421395 + 0.204848i
\(485\) 8.47024 + 33.8511i 0.384614 + 1.53710i
\(486\) −5.48171 21.3530i −0.248655 0.968592i
\(487\) −12.9137 + 17.7742i −0.585177 + 0.805427i −0.994251 0.107074i \(-0.965852\pi\)
0.409074 + 0.912501i \(0.365852\pi\)
\(488\) 6.56475 13.9304i 0.297172 0.630601i
\(489\) 25.4510 0.427251i 1.15093 0.0193209i
\(490\) 36.2686 32.2430i 1.63845 1.45659i
\(491\) 10.1785 + 7.39510i 0.459348 + 0.333736i 0.793276 0.608863i \(-0.208374\pi\)
−0.333927 + 0.942599i \(0.608374\pi\)
\(492\) 10.5444 3.86710i 0.475378 0.174342i
\(493\) −3.54928 −0.159851
\(494\) 6.60535 + 0.976661i 0.297189 + 0.0439421i
\(495\) 15.6272 + 12.2217i 0.702388 + 0.549327i
\(496\) 10.3178 15.5042i 0.463281 0.696158i
\(497\) −69.6532 22.6317i −3.12437 1.01517i
\(498\) −0.405597 + 0.852302i −0.0181752 + 0.0381926i
\(499\) 11.6724i 0.522527i −0.965268 0.261263i \(-0.915861\pi\)
0.965268 0.261263i \(-0.0841391\pi\)
\(500\) −9.56407 20.2121i −0.427718 0.903912i
\(501\) −1.05371 + 1.50271i −0.0470762 + 0.0671363i
\(502\) −16.1862 + 2.73456i −0.722424 + 0.122049i
\(503\) 4.93243 15.1805i 0.219926 0.676863i −0.778841 0.627222i \(-0.784192\pi\)
0.998767 0.0496418i \(-0.0158080\pi\)
\(504\) 39.1313 8.81231i 1.74305 0.392532i
\(505\) −0.642138 1.02572i −0.0285748 0.0456438i
\(506\) 0.502109 3.39586i 0.0223215 0.150964i
\(507\) 2.27107 3.23883i 0.100862 0.143841i
\(508\) −17.6289 12.2622i −0.782156 0.544049i
\(509\) −6.30000 + 8.67121i −0.279243 + 0.384345i −0.925483 0.378789i \(-0.876340\pi\)
0.646240 + 0.763134i \(0.276340\pi\)
\(510\) −3.02415 + 0.349858i −0.133912 + 0.0154920i
\(511\) 28.1036 + 38.6813i 1.24323 + 1.71116i
\(512\) −1.45896 + 22.5803i −0.0644777 + 0.997919i
\(513\) −4.88482 + 3.93947i −0.215670 + 0.173932i
\(514\) −0.205557 1.21671i −0.00906671 0.0536669i
\(515\) −9.88345 + 2.47304i −0.435517 + 0.108975i
\(516\) −18.9764 + 28.2828i −0.835391 + 1.24508i
\(517\) −4.03761 12.4265i −0.177574 0.546517i
\(518\) 12.9119 25.9986i 0.567317 1.14231i
\(519\) −9.92677 + 32.3916i −0.435737 + 1.42183i
\(520\) −22.4424 + 10.3774i −0.984166 + 0.455079i
\(521\) 36.9235 + 11.9972i 1.61765 + 0.525606i 0.971385 0.237509i \(-0.0763310\pi\)
0.646263 + 0.763115i \(0.276331\pi\)
\(522\) 11.2295 24.6555i 0.491503 1.07914i
\(523\) 5.88363 + 8.09813i 0.257273 + 0.354106i 0.918042 0.396483i \(-0.129770\pi\)
−0.660769 + 0.750590i \(0.729770\pi\)
\(524\) 13.4165 + 17.6894i 0.586103 + 0.772765i
\(525\) −7.85209 40.1784i −0.342693 1.75353i
\(526\) −17.4442 8.66347i −0.760604 0.377745i
\(527\) −2.09358 + 1.52107i −0.0911976 + 0.0662590i
\(528\) −19.0874 + 7.44905i −0.830673 + 0.324178i
\(529\) −6.89922 + 21.2336i −0.299966 + 0.923200i
\(530\) 24.3379 10.6518i 1.05717 0.462687i
\(531\) 2.35352 1.83371i 0.102134 0.0795763i
\(532\) −6.89992 9.09740i −0.299150 0.394423i
\(533\) −12.0547 + 3.91681i −0.522147 + 0.169656i
\(534\) 3.14564 24.0589i 0.136125 1.04113i
\(535\) −12.7757 + 7.99805i −0.552340 + 0.345786i
\(536\) 1.18466 1.26011i 0.0511696 0.0544286i
\(537\) 15.5542 5.34411i 0.671211 0.230615i
\(538\) −7.23219 + 3.77917i −0.311802 + 0.162931i
\(539\) −36.7168 + 26.6763i −1.58150 + 1.14903i
\(540\) 7.13776 22.1145i 0.307160 0.951658i
\(541\) 22.3539 + 16.2411i 0.961071 + 0.698259i 0.953399 0.301712i \(-0.0975580\pi\)
0.00767157 + 0.999971i \(0.497558\pi\)
\(542\) 31.4754 + 4.65393i 1.35199 + 0.199903i
\(543\) −19.2154 + 27.4035i −0.824613 + 1.17600i
\(544\) 1.28154 2.87113i 0.0549456 0.123099i
\(545\) −8.33766 0.575990i −0.357146 0.0246727i
\(546\) −44.5028 + 8.28906i −1.90454 + 0.354739i
\(547\) −3.99568 1.29828i −0.170843 0.0555103i 0.222346 0.974968i \(-0.428628\pi\)
−0.393190 + 0.919457i \(0.628628\pi\)
\(548\) 11.1168 36.7707i 0.474886 1.57077i
\(549\) −5.56603 15.3563i −0.237552 0.655391i
\(550\) 7.04433 + 19.6898i 0.300371 + 0.839575i
\(551\) −7.71207 −0.328545
\(552\) −3.93697 + 0.817419i −0.167569 + 0.0347917i
\(553\) −21.9519 + 67.5609i −0.933488 + 2.87298i
\(554\) 0.601200 0.613695i 0.0255425 0.0260734i
\(555\) −9.16170 14.1025i −0.388893 0.598616i
\(556\) −7.16335 4.98265i −0.303794 0.211311i
\(557\) 29.8853i 1.26628i −0.774036 0.633141i \(-0.781765\pi\)
0.774036 0.633141i \(-0.218235\pi\)
\(558\) −3.94246 19.3558i −0.166898 0.819396i
\(559\) 22.5932 31.0968i 0.955589 1.31526i
\(560\) 39.8324 + 14.1797i 1.68323 + 0.599203i
\(561\) 2.84668 0.0477878i 0.120187 0.00201760i
\(562\) 39.2536 20.5119i 1.65581 0.865243i
\(563\) 11.1929 + 8.13209i 0.471723 + 0.342727i 0.798112 0.602509i \(-0.205832\pi\)
−0.326389 + 0.945235i \(0.605832\pi\)
\(564\) −12.0371 + 9.45197i −0.506855 + 0.398000i
\(565\) −0.962328 + 13.9300i −0.0404854 + 0.586041i
\(566\) −6.03995 + 3.15617i −0.253878 + 0.132664i
\(567\) 22.6414 36.0194i 0.950850 1.51267i
\(568\) −8.18691 43.0491i −0.343515 1.80630i
\(569\) −18.9950 + 6.17185i −0.796312 + 0.258737i −0.678789 0.734333i \(-0.737495\pi\)
−0.117522 + 0.993070i \(0.537495\pi\)
\(570\) −6.57105 + 0.760192i −0.275231 + 0.0318409i
\(571\) 4.17672 + 1.35710i 0.174790 + 0.0567928i 0.395105 0.918636i \(-0.370708\pi\)
−0.220314 + 0.975429i \(0.570708\pi\)
\(572\) 21.8403 7.59638i 0.913187 0.317621i
\(573\) 0.502270 + 29.9198i 0.0209826 + 1.24992i
\(574\) 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 \(0.124300\pi\)
\(578\) 16.5185 16.8618i 0.687081 0.701360i
\(579\) −3.13115 4.16095i −0.130126 0.172923i
\(580\) 23.8889 15.6483i 0.991933 0.649761i
\(581\) −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
\(584\) −12.1953 + 25.8784i −0.504644 + 1.07086i
\(585\) −8.98183 + 24.6394i −0.371353 + 1.01871i
\(586\) −6.90053 40.8450i −0.285058 1.68729i
\(587\) −3.48619 2.53287i −0.143891 0.104543i 0.513511 0.858083i \(-0.328345\pi\)
−0.657402 + 0.753540i \(0.728345\pi\)
\(588\) 44.1446 + 29.6190i 1.82049 + 1.22147i
\(589\) −4.54905 + 3.30508i −0.187440 + 0.136183i
\(590\) 3.12972 0.308932i 0.128849 0.0127185i
\(591\) −0.944819 2.74992i −0.0388647 0.113116i
\(592\) 17.3540 0.714285i 0.713244 0.0293569i
\(593\) 1.44492i 0.0593356i −0.999560 0.0296678i \(-0.990555\pi\)
0.999560 0.0296678i \(-0.00944494\pi\)
\(594\) −8.67463 + 19.9260i −0.355924 + 0.817574i
\(595\) −4.50376 3.77266i −0.184636 0.154664i
\(596\) 3.08464 + 8.86861i 0.126352 + 0.363273i
\(597\) −26.1305 + 19.6634i −1.06945 + 0.804769i
\(598\) 4.47447 0.755936i 0.182975 0.0309125i
\(599\) 4.78359 0.195452 0.0977261 0.995213i \(-0.468843\pi\)
0.0977261 + 0.995213i \(0.468843\pi\)
\(600\) 18.8120 15.6879i 0.767996 0.640454i
\(601\) −5.10574 −0.208267 −0.104134 0.994563i \(-0.533207\pi\)
−0.104134 + 0.994563i \(0.533207\pi\)
\(602\) −64.8107 + 10.9494i −2.64149 + 0.446264i
\(603\) −0.0615734 1.83342i −0.00250746 0.0746627i
\(604\) 4.91312 + 14.1257i 0.199912 + 0.574765i
\(605\) 1.22331 + 4.88892i 0.0497345 + 0.198763i
\(606\) 0.911656 0.962398i 0.0370335 0.0390948i
\(607\) 28.3746i 1.15169i 0.817559 + 0.575844i \(0.195327\pi\)
−0.817559 + 0.575844i \(0.804673\pi\)
\(608\) 2.78461 6.23856i 0.112931 0.253007i
\(609\) 49.4472 16.9891i 2.00370 0.688433i
\(610\) 3.68623 16.8182i 0.149251 0.680950i
\(611\) 13.9735 10.1524i 0.565309 0.410721i
\(612\) −1.20065 3.11125i −0.0485336 0.125765i
\(613\) 17.6715 + 12.8391i 0.713746 + 0.518567i 0.884380 0.466768i \(-0.154582\pi\)
−0.170634 + 0.985334i \(0.554582\pi\)
\(614\) −0.150193 0.889011i −0.00606130 0.0358776i
\(615\) 10.5298 6.84074i 0.424604 0.275845i
\(616\) −35.7689 16.8562i −1.44117 0.679156i
\(617\) −12.5336 + 4.07242i −0.504584 + 0.163949i −0.550238 0.835008i \(-0.685463\pi\)
0.0456535 + 0.998957i \(0.485463\pi\)
\(618\) −5.33409 9.80335i −0.214568 0.394349i
\(619\) 17.4954 5.68459i 0.703199 0.228483i 0.0644749 0.997919i \(-0.479463\pi\)
0.638724 + 0.769436i \(0.279463\pi\)
\(620\) 7.38491 19.4681i 0.296585 0.781858i
\(621\) −2.32996 + 3.57214i −0.0934981 + 0.143345i
\(622\) 23.0760 23.5556i 0.925263 0.944492i
\(623\) 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
\(627\) 6.18543 0.103836i 0.247022 0.00414681i
\(628\) 6.10194 2.12235i 0.243494 0.0846909i
\(629\) −2.29532 0.745793i −0.0915202 0.0297367i
\(630\) 40.4566 19.3496i 1.61183 0.770906i
\(631\) 14.0665 4.57049i 0.559979 0.181948i −0.0153325 0.999882i \(-0.504881\pi\)
0.575312 + 0.817934i \(0.304881\pi\)
\(632\) −41.7559 + 7.94099i −1.66096 + 0.315875i
\(633\) −1.41098 + 4.60412i −0.0560815 + 0.182997i
\(634\) −7.21028 + 3.76772i −0.286357 + 0.149635i
\(635\) −22.2682 8.97518i −0.883686 0.356169i
\(636\) 17.9733 + 22.8891i 0.712688 + 0.907612i
\(637\) −48.5368 35.2641i −1.92310 1.39721i
\(638\) −23.6707 + 12.3691i −0.937132 + 0.489697i
\(639\) −38.4979 26.0421i −1.52296 1.03021i
\(640\) 4.03284 + 24.9747i 0.159412 + 0.987212i
\(641\) 20.0413 27.5845i 0.791583 1.08952i −0.202326 0.979318i \(-0.564850\pi\)
0.993909 0.110202i \(-0.0351499\pi\)
\(642\) −11.9870 11.3550i −0.473089 0.448146i
\(643\) 4.06227i 0.160200i 0.996787 + 0.0801001i \(0.0255240\pi\)
−0.996787 + 0.0801001i \(0.974476\pi\)
\(644\) −6.37031 4.43103i −0.251026 0.174607i
\(645\) −13.6402 + 35.5523i −0.537084 + 1.39987i
\(646\) −0.664321 + 0.678127i −0.0261373 + 0.0266806i
\(647\) −8.68537 + 26.7308i −0.341457 + 1.05090i 0.621996 + 0.783020i \(0.286322\pi\)
−0.963453 + 0.267876i \(0.913678\pi\)
\(648\) 25.4114 + 1.50318i 0.998255 + 0.0590504i
\(649\) −2.94118 −0.115451
\(650\) −21.8769 + 16.8995i −0.858082 + 0.662854i
\(651\) 21.8861 31.2122i 0.857784 1.22330i
\(652\) −8.50591 + 28.1347i −0.333117 + 1.10184i
\(653\) −0.961734 0.312486i −0.0376356 0.0122285i 0.290139 0.956985i \(-0.406299\pi\)
−0.327774 + 0.944756i \(0.606299\pi\)
\(654\) −1.67642 9.00043i −0.0655530 0.351945i
\(655\) 19.0284 + 15.9395i 0.743500 + 0.622807i
\(656\) 0.533333 + 12.9576i 0.0208232 + 0.505911i
\(657\) 10.3400 + 28.5273i 0.403400 + 1.11295i
\(658\) −29.2181 4.32016i −1.13904 0.168417i
\(659\) −15.8356 11.5053i −0.616869 0.448182i 0.234957 0.972006i \(-0.424505\pi\)
−0.851827 + 0.523824i \(0.824505\pi\)
\(660\) −18.9493 + 12.8723i −0.737601 + 0.501053i
\(661\) 13.7758 10.0087i 0.535816 0.389293i −0.286713 0.958017i \(-0.592563\pi\)
0.822529 + 0.568724i \(0.192563\pi\)
\(662\) 1.28506 0.671508i 0.0499454 0.0260989i
\(663\) 1.22294 + 3.55939i 0.0474951 + 0.138235i
\(664\) −0.794089 0.746542i −0.0308166 0.0289715i
\(665\) −9.78603 8.19746i −0.379486 0.317884i
\(666\) 12.4429 13.5851i 0.482152 0.526411i
\(667\) −4.98469 + 1.61962i −0.193008 + 0.0627121i
\(668\) −1.28067 1.68854i −0.0495505 0.0653314i
\(669\) −5.94107 + 19.3860i −0.229695 + 0.749508i
\(670\) 0.977422 1.66847i 0.0377611 0.0644585i
\(671\) −4.97578 + 15.3139i −0.192088 + 0.591186i
\(672\) −4.11089 + 46.1338i −0.158581 + 1.77965i
\(673\) −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
\(675\) 2.27274 25.8812i 0.0874778 0.996166i
\(676\) 2.76025 + 3.63933i 0.106163 + 0.139974i
\(677\) 11.6857 + 16.0840i 0.449119 + 0.618159i 0.972208 0.234119i \(-0.0752205\pi\)
−0.523089 + 0.852278i \(0.675220\pi\)
\(678\) −15.0373 + 2.80085i −0.577506 + 0.107566i
\(679\) −70.1588 22.7960i −2.69245 0.874830i
\(680\) 0.681835 3.44852i 0.0261472 0.132245i
\(681\) −35.0437 10.7395i −1.34288 0.411539i
\(682\) −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 \(0.924174\pi\)
\(684\) −2.60885 6.76031i −0.0997519 0.258487i
\(685\) 2.95996 42.8465i 0.113094 1.63708i
\(686\) 9.29459 + 55.0158i 0.354869 + 2.10051i
\(687\) −45.5374 + 15.6458i −1.73736 + 0.596923i
\(688\) −24.4054 30.8395i −0.930445 1.17574i
\(689\) −19.3052 26.5713i −0.735468 1.01229i
\(690\) −4.08754 + 1.87134i −0.155610 + 0.0712408i
\(691\) 3.57072 4.91468i 0.135837 0.186963i −0.735680 0.677330i \(-0.763137\pi\)
0.871516 + 0.490366i \(0.163137\pi\)
\(692\) −32.1147 22.3382i −1.22082 0.849169i
\(693\) −39.4301 + 14.2918i −1.49783 + 0.542900i
\(694\) 0.254155 1.71890i 0.00964759 0.0652485i
\(695\) −9.04848 3.64699i −0.343228 0.138338i
\(696\) 23.1491 + 21.0423i 0.877464 + 0.797607i
\(697\) 0.556859 1.71384i 0.0210925 0.0649162i
\(698\) −35.1353 + 5.93591i −1.32989 + 0.224678i
\(699\) −10.2247 7.16962i −0.386735 0.271180i
\(700\) 46.9464 + 5.53594i 1.77441 + 0.209239i
\(701\) 21.6026i 0.815921i 0.913000 + 0.407960i \(0.133760\pi\)
−0.913000 + 0.407960i \(0.866240\pi\)
\(702\) −28.5950 2.76625i −1.07925 0.104405i
\(703\) −4.98740 1.62050i −0.188103 0.0611184i
\(704\) −1.45896 23.6142i −0.0549865 0.889992i
\(705\) −10.7661 + 13.2997i −0.405474 + 0.500895i
\(706\) −42.3503 6.26187i −1.59387 0.235669i
\(707\) 2.55830 0.0962147
\(708\) 1.18621 + 3.23444i 0.0445806 + 0.121558i
\(709\) −27.4257 19.9260i −1.02999 0.748335i −0.0616869 0.998096i \(-0.519648\pi\)
−0.968308 + 0.249761i \(0.919648\pi\)
\(710\) −19.6436 44.8825i −0.737210 1.68441i
\(711\) −25.2598 + 37.3415i −0.947316 + 1.40042i
\(712\) 25.3441 + 11.9435i 0.949810 + 0.447601i
\(713\) −2.24617 + 3.09158i −0.0841196 + 0.115781i
\(714\) 2.76553 5.81136i 0.103498 0.217485i
\(715\) 21.9131 13.7184i 0.819503 0.513039i
\(716\) 0.390582 + 18.9869i 0.0145968 + 0.709574i
\(717\) −22.7959 6.98604i −0.851327 0.260898i
\(718\) 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 \(0.635771\pi\)
\(720\) 21.7983 + 15.6472i 0.812374 + 0.583136i
\(721\) 6.65570 20.4841i 0.247871 0.762869i
\(722\) 17.3601 17.7209i 0.646077 0.659504i
\(723\) 0.441147 + 26.2788i 0.0164064 + 0.977318i
\(724\) −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 \(-0.991863\pi\)
0.284608 0.958644i \(-0.408137\pi\)
\(728\) 6.58053 51.8553i 0.243891 1.92188i
\(729\) 20.1371 17.9860i 0.745819 0.666148i
\(730\) −6.84788 + 31.2431i −0.253451 + 1.15636i
\(731\) 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 \(0.680171\pi\)
\(734\) 0.488252 0.255135i 0.0180217 0.00941721i
\(735\) 55.4911 + 21.2901i 2.04682 + 0.785297i
\(736\) 0.489660 4.61708i 0.0180491 0.170188i
\(737\) −1.06295 + 1.46303i −0.0391544 + 0.0538914i
\(738\) 10.1435 + 9.29069i 0.373388 + 0.341995i
\(739\) 5.12509 + 7.05408i 0.188530 + 0.259489i 0.892810 0.450433i \(-0.148730\pi\)
−0.704281 + 0.709922i \(0.748730\pi\)
\(740\) 18.7371 5.10009i 0.688788 0.187483i
\(741\) 2.65728 + 7.73406i 0.0976175 + 0.284118i
\(742\) −8.21497 + 55.5595i −0.301581 + 2.03965i
\(743\) 0.480665 0.0176339 0.00881694 0.999961i \(-0.497193\pi\)
0.00881694 + 0.999961i \(0.497193\pi\)
\(744\) 22.6726 + 2.49128i 0.831218 + 0.0913348i
\(745\) 5.57060 + 8.89818i 0.204091 + 0.326004i
\(746\) 22.9034 23.3794i 0.838552 0.855980i
\(747\) −1.15537 + 0.0388019i −0.0422729 + 0.00141969i
\(748\) −0.951382 + 3.14686i −0.0347860 + 0.115060i
\(749\) 31.8645i 1.16430i
\(750\) 16.5974 21.7836i 0.606053 0.795424i
\(751\) 23.7249i 0.865735i 0.901458 + 0.432868i \(0.142498\pi\)
−0.901458 + 0.432868i \(0.857502\pi\)
\(752\) −6.14761 16.5685i −0.224180 0.604192i
\(753\) −12.0887 16.0645i −0.440536 0.585424i
\(754\) −25.2201 24.7067i −0.918463 0.899763i
\(755\) 8.87268 + 14.1728i 0.322910 + 0.515799i
\(756\) 31.6195 + 37.5977i 1.14999 + 1.36741i
\(757\) 19.1634 0.696505 0.348252 0.937401i \(-0.386775\pi\)
0.348252 + 0.937401i \(0.386775\pi\)
\(758\) −28.7986 4.25813i −1.04601 0.154662i
\(759\) 3.97614 1.36613i 0.144325 0.0495872i
\(760\) 1.48153 7.49314i 0.0537408 0.271805i
\(761\) −0.518237 0.713292i −0.0187861 0.0258568i 0.799521 0.600639i \(-0.205087\pi\)
−0.818307 + 0.574782i \(0.805087\pi\)
\(762\) 3.40969 26.0784i 0.123520 0.944722i
\(763\) 10.3851 14.2939i 0.375968 0.517475i
\(764\) −33.0748 9.99944i −1.19660 0.361767i
\(765\) −2.08343 3.09211i −0.0753264 0.111795i
\(766\) 18.6944 + 35.7754i 0.675456 + 1.29262i
\(767\) −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 \(0.981840\pi\)
\(770\) −43.1839 9.46508i −1.55624 0.341098i
\(771\) 1.20757 0.908705i 0.0434895 0.0327262i
\(772\) 5.67933 1.97536i 0.204404 0.0710948i
\(773\) 18.3307 + 25.2300i 0.659309 + 0.907461i 0.999458 0.0329106i \(-0.0104777\pi\)
−0.340149 + 0.940371i \(0.610478\pi\)
\(774\) −41.4466 4.71292