Properties

Label 384.2.w.a.11.12
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.12
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12499 + 0.856964i) q^{2} +(0.434523 + 1.67666i) q^{3} +(0.531225 - 1.92816i) q^{4} +(-2.13158 - 1.13935i) q^{5} +(-1.92567 - 1.51386i) q^{6} +(1.86189 + 0.370353i) q^{7} +(1.05474 + 2.62441i) q^{8} +(-2.62238 + 1.45710i) q^{9} +O(q^{10})\) \(q+(-1.12499 + 0.856964i) q^{2} +(0.434523 + 1.67666i) q^{3} +(0.531225 - 1.92816i) q^{4} +(-2.13158 - 1.13935i) q^{5} +(-1.92567 - 1.51386i) q^{6} +(1.86189 + 0.370353i) q^{7} +(1.05474 + 2.62441i) q^{8} +(-2.62238 + 1.45710i) q^{9} +(3.37440 - 0.544921i) q^{10} +(-1.11565 + 0.915592i) q^{11} +(3.46370 + 0.0528527i) q^{12} +(-3.82121 + 2.04248i) q^{13} +(-2.41200 + 1.17893i) q^{14} +(0.984086 - 4.06901i) q^{15} +(-3.43560 - 2.04857i) q^{16} +(-4.29024 + 1.77708i) q^{17} +(1.70148 - 3.88651i) q^{18} +(-1.29196 + 4.25902i) q^{19} +(-3.32920 + 3.50477i) q^{20} +(0.188079 + 3.28269i) q^{21} +(0.470473 - 1.98611i) q^{22} +(-5.93323 - 3.96446i) q^{23} +(-3.94193 + 2.90881i) q^{24} +(0.467651 + 0.699890i) q^{25} +(2.54851 - 5.57242i) q^{26} +(-3.58254 - 3.76370i) q^{27} +(1.70318 - 3.39328i) q^{28} +(7.57068 + 6.21309i) q^{29} +(2.37990 + 5.42094i) q^{30} +(2.40772 - 2.40772i) q^{31} +(5.62058 - 0.639555i) q^{32} +(-2.01991 - 1.47272i) q^{33} +(3.30361 - 5.67578i) q^{34} +(-3.54680 - 2.91079i) q^{35} +(1.41644 + 5.83041i) q^{36} +(-2.34496 - 7.73030i) q^{37} +(-2.19638 - 5.89854i) q^{38} +(-5.08495 - 5.51936i) q^{39} +(0.741867 - 6.79585i) q^{40} +(3.34719 + 2.23652i) q^{41} +(-3.02473 - 3.53183i) q^{42} +(-0.764000 + 7.75702i) q^{43} +(1.17275 + 2.63754i) q^{44} +(7.24995 - 0.118100i) q^{45} +(10.0723 - 0.624574i) q^{46} +(1.44341 - 0.597878i) q^{47} +(1.94191 - 6.65049i) q^{48} +(-3.13768 - 1.29967i) q^{49} +(-1.12589 - 0.386612i) q^{50} +(-4.84376 - 6.42110i) q^{51} +(1.90831 + 8.45292i) q^{52} +(-2.65463 + 2.17860i) q^{53} +(7.25569 + 1.16403i) q^{54} +(3.42128 - 0.680535i) q^{55} +(0.991851 + 5.27699i) q^{56} +(-7.70232 - 0.315534i) q^{57} +(-13.8414 - 0.501896i) q^{58} +(-0.866259 - 0.463025i) q^{59} +(-7.32293 - 4.05903i) q^{60} +(1.05046 + 10.6655i) q^{61} +(-0.645341 + 4.77200i) q^{62} +(-5.42222 + 1.74175i) q^{63} +(-5.77505 + 5.53614i) q^{64} +10.4723 q^{65} +(3.53446 - 0.0741882i) q^{66} +(-14.9820 + 1.47560i) q^{67} +(1.14741 + 9.21630i) q^{68} +(4.06892 - 11.6707i) q^{69} +(6.48457 + 0.235134i) q^{70} +(6.43166 + 1.27934i) q^{71} +(-6.58994 - 5.34534i) q^{72} +(0.288813 + 1.45196i) q^{73} +(9.26266 + 6.68700i) q^{74} +(-0.970272 + 1.08821i) q^{75} +(7.52576 + 4.75361i) q^{76} +(-2.41631 + 1.29155i) q^{77} +(10.4504 + 1.85164i) q^{78} +(2.98850 - 7.21488i) q^{79} +(4.98921 + 8.28105i) q^{80} +(4.75374 - 7.64212i) q^{81} +(-5.68218 + 0.352349i) q^{82} +(-1.82354 + 6.01142i) q^{83} +(6.42945 + 1.38120i) q^{84} +(11.1697 + 1.10012i) q^{85} +(-5.78799 - 9.38132i) q^{86} +(-7.12761 + 15.3932i) q^{87} +(-3.57961 - 1.96222i) q^{88} +(5.69885 + 8.52894i) q^{89} +(-8.05495 + 6.34581i) q^{90} +(-7.87111 + 2.38768i) q^{91} +(-10.7960 + 9.33421i) q^{92} +(5.08314 + 2.99072i) q^{93} +(-1.11146 + 1.90956i) q^{94} +(7.60645 - 7.60645i) q^{95} +(3.51459 + 9.14591i) q^{96} +(3.88322 + 3.88322i) q^{97} +(4.64364 - 1.22676i) q^{98} +(1.59156 - 4.02664i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12499 + 0.856964i −0.795491 + 0.605965i
\(3\) 0.434523 + 1.67666i 0.250872 + 0.968020i
\(4\) 0.531225 1.92816i 0.265612 0.964080i
\(5\) −2.13158 1.13935i −0.953271 0.509534i −0.0800138 0.996794i \(-0.525496\pi\)
−0.873257 + 0.487260i \(0.837996\pi\)
\(6\) −1.92567 1.51386i −0.786153 0.618032i
\(7\) 1.86189 + 0.370353i 0.703729 + 0.139980i 0.533968 0.845505i \(-0.320700\pi\)
0.169761 + 0.985485i \(0.445700\pi\)
\(8\) 1.05474 + 2.62441i 0.372907 + 0.927869i
\(9\) −2.62238 + 1.45710i −0.874126 + 0.485699i
\(10\) 3.37440 0.544921i 1.06708 0.172319i
\(11\) −1.11565 + 0.915592i −0.336382 + 0.276061i −0.787386 0.616461i \(-0.788566\pi\)
0.451004 + 0.892522i \(0.351066\pi\)
\(12\) 3.46370 + 0.0528527i 0.999884 + 0.0152573i
\(13\) −3.82121 + 2.04248i −1.05981 + 0.566482i −0.906721 0.421730i \(-0.861423\pi\)
−0.153091 + 0.988212i \(0.548923\pi\)
\(14\) −2.41200 + 1.17893i −0.644633 + 0.315082i
\(15\) 0.984086 4.06901i 0.254090 1.05061i
\(16\) −3.43560 2.04857i −0.858900 0.512143i
\(17\) −4.29024 + 1.77708i −1.04054 + 0.431004i −0.836505 0.547960i \(-0.815405\pi\)
−0.204032 + 0.978964i \(0.565405\pi\)
\(18\) 1.70148 3.88651i 0.401043 0.916059i
\(19\) −1.29196 + 4.25902i −0.296396 + 0.977087i 0.674638 + 0.738148i \(0.264300\pi\)
−0.971035 + 0.238939i \(0.923200\pi\)
\(20\) −3.32920 + 3.50477i −0.744432 + 0.783691i
\(21\) 0.188079 + 3.28269i 0.0410421 + 0.716341i
\(22\) 0.470473 1.98611i 0.100305 0.423440i
\(23\) −5.93323 3.96446i −1.23716 0.826647i −0.247339 0.968929i \(-0.579556\pi\)
−0.989826 + 0.142282i \(0.954556\pi\)
\(24\) −3.94193 + 2.90881i −0.804644 + 0.593758i
\(25\) 0.467651 + 0.699890i 0.0935303 + 0.139978i
\(26\) 2.54851 5.57242i 0.499803 1.09284i
\(27\) −3.58254 3.76370i −0.689460 0.724324i
\(28\) 1.70318 3.39328i 0.321871 0.641270i
\(29\) 7.57068 + 6.21309i 1.40584 + 1.15374i 0.966879 + 0.255236i \(0.0821532\pi\)
0.438961 + 0.898506i \(0.355347\pi\)
\(30\) 2.37990 + 5.42094i 0.434509 + 0.989723i
\(31\) 2.40772 2.40772i 0.432439 0.432439i −0.457018 0.889457i \(-0.651083\pi\)
0.889457 + 0.457018i \(0.151083\pi\)
\(32\) 5.62058 0.639555i 0.993588 0.113059i
\(33\) −2.01991 1.47272i −0.351622 0.256368i
\(34\) 3.30361 5.67578i 0.566564 0.973389i
\(35\) −3.54680 2.91079i −0.599519 0.492013i
\(36\) 1.41644 + 5.83041i 0.236074 + 0.971735i
\(37\) −2.34496 7.73030i −0.385509 1.27085i −0.908274 0.418376i \(-0.862599\pi\)
0.522765 0.852477i \(-0.324901\pi\)
\(38\) −2.19638 5.89854i −0.356300 0.956870i
\(39\) −5.08495 5.51936i −0.814243 0.883806i
\(40\) 0.741867 6.79585i 0.117300 1.07452i
\(41\) 3.34719 + 2.23652i 0.522743 + 0.349286i 0.788778 0.614678i \(-0.210714\pi\)
−0.266036 + 0.963963i \(0.585714\pi\)
\(42\) −3.02473 3.53183i −0.466726 0.544973i
\(43\) −0.764000 + 7.75702i −0.116509 + 1.18293i 0.742095 + 0.670295i \(0.233832\pi\)
−0.858604 + 0.512640i \(0.828668\pi\)
\(44\) 1.17275 + 2.63754i 0.176798 + 0.397624i
\(45\) 7.24995 0.118100i 1.08076 0.0176054i
\(46\) 10.0723 0.624574i 1.48507 0.0920884i
\(47\) 1.44341 0.597878i 0.210542 0.0872095i −0.274920 0.961467i \(-0.588651\pi\)
0.485462 + 0.874258i \(0.338651\pi\)
\(48\) 1.94191 6.65049i 0.280291 0.959915i
\(49\) −3.13768 1.29967i −0.448240 0.185667i
\(50\) −1.12589 0.386612i −0.159224 0.0546751i
\(51\) −4.84376 6.42110i −0.678262 0.899133i
\(52\) 1.90831 + 8.45292i 0.264634 + 1.17221i
\(53\) −2.65463 + 2.17860i −0.364641 + 0.299253i −0.798816 0.601575i \(-0.794540\pi\)
0.434175 + 0.900829i \(0.357040\pi\)
\(54\) 7.25569 + 1.16403i 0.987374 + 0.158404i
\(55\) 3.42128 0.680535i 0.461326 0.0917634i
\(56\) 0.991851 + 5.27699i 0.132542 + 0.705167i
\(57\) −7.70232 0.315534i −1.02020 0.0417935i
\(58\) −13.8414 0.501896i −1.81746 0.0659022i
\(59\) −0.866259 0.463025i −0.112777 0.0602807i 0.414044 0.910257i \(-0.364116\pi\)
−0.526821 + 0.849976i \(0.676616\pi\)
\(60\) −7.32293 4.05903i −0.945386 0.524019i
\(61\) 1.05046 + 10.6655i 0.134497 + 1.36558i 0.791261 + 0.611479i \(0.209425\pi\)
−0.656763 + 0.754097i \(0.728075\pi\)
\(62\) −0.645341 + 4.77200i −0.0819584 + 0.606044i
\(63\) −5.42222 + 1.74175i −0.683136 + 0.219440i
\(64\) −5.77505 + 5.53614i −0.721881 + 0.692017i
\(65\) 10.4723 1.29893
\(66\) 3.53446 0.0741882i 0.435062 0.00913193i
\(67\) −14.9820 + 1.47560i −1.83035 + 0.180273i −0.953680 0.300824i \(-0.902738\pi\)
−0.876667 + 0.481097i \(0.840238\pi\)
\(68\) 1.14741 + 9.21630i 0.139143 + 1.11764i
\(69\) 4.06892 11.6707i 0.489841 1.40498i
\(70\) 6.48457 + 0.235134i 0.775055 + 0.0281039i
\(71\) 6.43166 + 1.27934i 0.763297 + 0.151829i 0.561363 0.827570i \(-0.310277\pi\)
0.201934 + 0.979399i \(0.435277\pi\)
\(72\) −6.58994 5.34534i −0.776632 0.629954i
\(73\) 0.288813 + 1.45196i 0.0338030 + 0.169939i 0.993999 0.109387i \(-0.0348889\pi\)
−0.960196 + 0.279326i \(0.909889\pi\)
\(74\) 9.26266 + 6.68700i 1.07676 + 0.777348i
\(75\) −0.970272 + 1.08821i −0.112037 + 0.125656i
\(76\) 7.52576 + 4.75361i 0.863264 + 0.545276i
\(77\) −2.41631 + 1.29155i −0.275365 + 0.147185i
\(78\) 10.4504 + 1.85164i 1.18328 + 0.209656i
\(79\) 2.98850 7.21488i 0.336233 0.811737i −0.661838 0.749647i \(-0.730223\pi\)
0.998071 0.0620904i \(-0.0197767\pi\)
\(80\) 4.98921 + 8.28105i 0.557810 + 0.925850i
\(81\) 4.75374 7.64212i 0.528194 0.849124i
\(82\) −5.68218 + 0.352349i −0.627492 + 0.0389104i
\(83\) −1.82354 + 6.01142i −0.200160 + 0.659839i 0.798189 + 0.602406i \(0.205791\pi\)
−0.998349 + 0.0574324i \(0.981709\pi\)
\(84\) 6.42945 + 1.38120i 0.701511 + 0.150701i
\(85\) 11.1697 + 1.10012i 1.21152 + 0.119325i
\(86\) −5.78799 9.38132i −0.624135 1.01161i
\(87\) −7.12761 + 15.3932i −0.764160 + 1.65032i
\(88\) −3.57961 1.96222i −0.381588 0.209173i
\(89\) 5.69885 + 8.52894i 0.604077 + 0.904066i 0.999898 0.0142621i \(-0.00453993\pi\)
−0.395821 + 0.918328i \(0.629540\pi\)
\(90\) −8.05495 + 6.34581i −0.849066 + 0.668907i
\(91\) −7.87111 + 2.38768i −0.825117 + 0.250296i
\(92\) −10.7960 + 9.33421i −1.12556 + 0.973158i
\(93\) 5.08314 + 2.99072i 0.527097 + 0.310123i
\(94\) −1.11146 + 1.90956i −0.114639 + 0.196956i
\(95\) 7.60645 7.60645i 0.780405 0.780405i
\(96\) 3.51459 + 9.14591i 0.358707 + 0.933450i
\(97\) 3.88322 + 3.88322i 0.394281 + 0.394281i 0.876210 0.481929i \(-0.160064\pi\)
−0.481929 + 0.876210i \(0.660064\pi\)
\(98\) 4.64364 1.22676i 0.469079 0.123921i
\(99\) 1.59156 4.02664i 0.159958 0.404693i
\(100\) 1.59793 0.529908i 0.159793 0.0529908i
\(101\) 0.504249 + 1.66229i 0.0501747 + 0.165404i 0.978447 0.206497i \(-0.0662063\pi\)
−0.928273 + 0.371900i \(0.878706\pi\)
\(102\) 10.9519 + 3.07277i 1.08440 + 0.304249i
\(103\) 12.8453 8.58294i 1.26568 0.845703i 0.272488 0.962159i \(-0.412154\pi\)
0.993196 + 0.116457i \(0.0371537\pi\)
\(104\) −9.39068 7.87413i −0.920832 0.772122i
\(105\) 3.33923 7.21159i 0.325876 0.703779i
\(106\) 1.11946 4.72583i 0.108732 0.459013i
\(107\) 0.676057 6.86412i 0.0653569 0.663580i −0.905569 0.424199i \(-0.860556\pi\)
0.970926 0.239380i \(-0.0769443\pi\)
\(108\) −9.16014 + 4.90834i −0.881435 + 0.472305i
\(109\) 7.56065 + 2.29350i 0.724179 + 0.219677i 0.630791 0.775952i \(-0.282730\pi\)
0.0933878 + 0.995630i \(0.470230\pi\)
\(110\) −3.26573 + 3.69751i −0.311375 + 0.352544i
\(111\) 11.9421 7.29070i 1.13350 0.692002i
\(112\) −5.63802 5.08660i −0.532743 0.480639i
\(113\) 10.2042 + 4.22670i 0.959927 + 0.397615i 0.806953 0.590615i \(-0.201115\pi\)
0.152974 + 0.988230i \(0.451115\pi\)
\(114\) 8.93547 6.24564i 0.836884 0.584958i
\(115\) 8.13024 + 15.2106i 0.758148 + 1.41840i
\(116\) 16.0016 11.2969i 1.48571 1.04889i
\(117\) 7.04457 10.9240i 0.651271 1.00993i
\(118\) 1.37133 0.221452i 0.126241 0.0203863i
\(119\) −8.64611 + 1.71982i −0.792587 + 0.157655i
\(120\) 11.7167 1.70910i 1.06958 0.156019i
\(121\) −1.73962 + 8.74567i −0.158148 + 0.795061i
\(122\) −10.3217 11.0984i −0.934483 1.00480i
\(123\) −2.29545 + 6.58391i −0.206974 + 0.593652i
\(124\) −3.36343 5.92151i −0.302045 0.531767i
\(125\) 0.985109 + 10.0020i 0.0881108 + 0.894604i
\(126\) 4.60736 6.60611i 0.410456 0.588519i
\(127\) 0.243775i 0.0216315i 0.999942 + 0.0108158i \(0.00344283\pi\)
−0.999942 + 0.0108158i \(0.996557\pi\)
\(128\) 1.75263 11.1771i 0.154912 0.987928i
\(129\) −13.3379 + 2.08964i −1.17433 + 0.183982i
\(130\) −11.7813 + 8.97440i −1.03329 + 0.787107i
\(131\) 4.64043 0.457043i 0.405437 0.0399320i 0.106756 0.994285i \(-0.465954\pi\)
0.298680 + 0.954353i \(0.403454\pi\)
\(132\) −3.91267 + 3.11237i −0.340555 + 0.270897i
\(133\) −3.98283 + 7.45136i −0.345355 + 0.646115i
\(134\) 15.5902 14.4991i 1.34679 1.25253i
\(135\) 3.34829 + 12.1044i 0.288175 + 1.04178i
\(136\) −9.18886 9.38500i −0.787938 0.804757i
\(137\) −1.35764 6.82530i −0.115991 0.583125i −0.994441 0.105292i \(-0.966422\pi\)
0.878451 0.477833i \(-0.158578\pi\)
\(138\) 5.42383 + 16.6164i 0.461707 + 1.41448i
\(139\) 6.70605 + 8.17135i 0.568800 + 0.693085i 0.975380 0.220530i \(-0.0707788\pi\)
−0.406580 + 0.913615i \(0.633279\pi\)
\(140\) −7.49661 + 5.29252i −0.633579 + 0.447300i
\(141\) 1.62963 + 2.16031i 0.137240 + 0.181931i
\(142\) −8.33192 + 4.07245i −0.699199 + 0.341753i
\(143\) 2.39306 5.77736i 0.200118 0.483127i
\(144\) 11.9944 + 0.366132i 0.999534 + 0.0305110i
\(145\) −9.05859 21.8694i −0.752275 1.81615i
\(146\) −1.56919 1.38595i −0.129867 0.114702i
\(147\) 0.815710 5.82556i 0.0672786 0.480484i
\(148\) −16.1510 + 0.414934i −1.32760 + 0.0341074i
\(149\) −18.4369 1.81588i −1.51041 0.148763i −0.691373 0.722498i \(-0.742994\pi\)
−0.819040 + 0.573736i \(0.805494\pi\)
\(150\) 0.158993 2.05572i 0.0129817 0.167849i
\(151\) −5.71155 + 8.54793i −0.464799 + 0.695621i −0.987628 0.156817i \(-0.949877\pi\)
0.522829 + 0.852438i \(0.324877\pi\)
\(152\) −12.5401 + 1.10153i −1.01714 + 0.0893456i
\(153\) 8.66127 10.9115i 0.700222 0.882139i
\(154\) 1.61153 3.52368i 0.129861 0.283946i
\(155\) −7.87548 + 2.38900i −0.632574 + 0.191889i
\(156\) −13.3435 + 6.87257i −1.06833 + 0.550246i
\(157\) 0.904729 1.10242i 0.0722052 0.0879823i −0.735655 0.677356i \(-0.763126\pi\)
0.807860 + 0.589374i \(0.200626\pi\)
\(158\) 2.82085 + 10.6777i 0.224415 + 0.849475i
\(159\) −4.80626 3.50426i −0.381161 0.277906i
\(160\) −12.7094 5.04056i −1.00477 0.398492i
\(161\) −9.57878 9.57878i −0.754914 0.754914i
\(162\) 1.20109 + 12.6711i 0.0943662 + 0.995538i
\(163\) 8.26690 10.0732i 0.647514 0.788998i −0.341011 0.940059i \(-0.610769\pi\)
0.988524 + 0.151062i \(0.0482692\pi\)
\(164\) 6.09047 5.26582i 0.475586 0.411191i
\(165\) 2.62765 + 5.44062i 0.204563 + 0.423552i
\(166\) −3.10009 8.32552i −0.240614 0.646186i
\(167\) −11.5135 + 7.69305i −0.890938 + 0.595306i −0.914576 0.404415i \(-0.867475\pi\)
0.0236377 + 0.999721i \(0.492475\pi\)
\(168\) −8.41674 + 3.95597i −0.649365 + 0.305210i
\(169\) 3.20751 4.80037i 0.246731 0.369259i
\(170\) −13.5086 + 8.33441i −1.03606 + 0.639220i
\(171\) −2.81780 13.0513i −0.215482 0.998057i
\(172\) 14.5509 + 5.59383i 1.10950 + 0.426526i
\(173\) 0.449028 + 0.136211i 0.0341390 + 0.0103559i 0.307308 0.951610i \(-0.400572\pi\)
−0.273169 + 0.961966i \(0.588072\pi\)
\(174\) −5.17289 23.4254i −0.392156 1.77587i
\(175\) 0.611509 + 1.47631i 0.0462258 + 0.111599i
\(176\) 5.70859 0.860115i 0.430301 0.0648336i
\(177\) 0.399926 1.65362i 0.0300603 0.124293i
\(178\) −13.7202 4.71129i −1.02837 0.353126i
\(179\) −10.3329 19.3314i −0.772315 1.44490i −0.891975 0.452085i \(-0.850680\pi\)
0.119659 0.992815i \(-0.461820\pi\)
\(180\) 3.62364 14.0418i 0.270090 1.04661i
\(181\) 12.5218 + 15.2579i 0.930738 + 1.13411i 0.990721 + 0.135908i \(0.0433951\pi\)
−0.0599837 + 0.998199i \(0.519105\pi\)
\(182\) 6.80880 9.43138i 0.504702 0.699101i
\(183\) −17.4259 + 6.39566i −1.28816 + 0.472781i
\(184\) 4.14635 19.7527i 0.305673 1.45619i
\(185\) −3.80907 + 19.1495i −0.280048 + 1.40790i
\(186\) −8.28144 + 0.991527i −0.607224 + 0.0727023i
\(187\) 3.15934 5.91071i 0.231034 0.432234i
\(188\) −0.386032 3.10073i −0.0281543 0.226144i
\(189\) −5.27640 8.33440i −0.383802 0.606238i
\(190\) −2.03876 + 15.0757i −0.147907 + 1.09370i
\(191\) 6.15009i 0.445005i 0.974932 + 0.222503i \(0.0714226\pi\)
−0.974932 + 0.222503i \(0.928577\pi\)
\(192\) −11.7916 7.27722i −0.850986 0.525188i
\(193\) 18.9430i 1.36355i 0.731562 + 0.681775i \(0.238792\pi\)
−0.731562 + 0.681775i \(0.761208\pi\)
\(194\) −7.69638 1.04082i −0.552568 0.0747265i
\(195\) 4.55046 + 17.5585i 0.325865 + 1.25739i
\(196\) −4.17279 + 5.35953i −0.298056 + 0.382824i
\(197\) 0.245644 0.459567i 0.0175014 0.0327428i −0.873019 0.487687i \(-0.837841\pi\)
0.890520 + 0.454944i \(0.150341\pi\)
\(198\) 1.66019 + 5.89386i 0.117985 + 0.418858i
\(199\) 3.61027 18.1501i 0.255926 1.28662i −0.612368 0.790573i \(-0.709783\pi\)
0.868293 0.496051i \(-0.165217\pi\)
\(200\) −1.34355 + 1.96551i −0.0950031 + 0.138983i
\(201\) −8.98413 24.4786i −0.633691 1.72659i
\(202\) −1.99180 1.43794i −0.140142 0.101173i
\(203\) 11.7947 + 14.3719i 0.827828 + 1.00871i
\(204\) −14.9540 + 5.92850i −1.04699 + 0.415078i
\(205\) −4.58661 8.58094i −0.320343 0.599319i
\(206\) −7.09559 + 20.6637i −0.494373 + 1.43971i
\(207\) 21.3358 + 1.75103i 1.48294 + 0.121705i
\(208\) 17.3123 + 0.810879i 1.20039 + 0.0562243i
\(209\) −2.45815 5.93450i −0.170034 0.410498i
\(210\) 2.42346 + 10.9746i 0.167234 + 0.757319i
\(211\) 5.08807 + 1.54345i 0.350278 + 0.106256i 0.460520 0.887649i \(-0.347663\pi\)
−0.110243 + 0.993905i \(0.535163\pi\)
\(212\) 2.79048 + 6.27587i 0.191651 + 0.431028i
\(213\) 0.649693 + 11.3396i 0.0445162 + 0.776977i
\(214\) 5.12175 + 8.30145i 0.350115 + 0.567476i
\(215\) 10.4665 15.6642i 0.713810 1.06829i
\(216\) 6.09883 13.3718i 0.414973 0.909834i
\(217\) 5.37462 3.59120i 0.364853 0.243787i
\(218\) −10.4711 + 3.89904i −0.709195 + 0.264076i
\(219\) −2.30895 + 1.11515i −0.156024 + 0.0753550i
\(220\) 0.505288 6.95830i 0.0340665 0.469128i
\(221\) 12.7643 15.5533i 0.858618 1.04623i
\(222\) −7.18698 + 18.4360i −0.482358 + 1.23734i
\(223\) 2.40254 + 2.40254i 0.160886 + 0.160886i 0.782959 0.622073i \(-0.213709\pi\)
−0.622073 + 0.782959i \(0.713709\pi\)
\(224\) 10.7018 + 0.890818i 0.715042 + 0.0595203i
\(225\) −2.24617 1.15396i −0.149744 0.0769309i
\(226\) −15.1018 + 3.98959i −1.00455 + 0.265383i
\(227\) 9.69488 11.8132i 0.643472 0.784072i −0.344487 0.938791i \(-0.611947\pi\)
0.987959 + 0.154719i \(0.0494471\pi\)
\(228\) −4.70006 + 14.6837i −0.311269 + 0.972451i
\(229\) −8.78681 + 2.66545i −0.580649 + 0.176138i −0.566927 0.823768i \(-0.691868\pi\)
−0.0137218 + 0.999906i \(0.504368\pi\)
\(230\) −22.1814 10.1445i −1.46260 0.668910i
\(231\) −3.21543 3.49013i −0.211560 0.229634i
\(232\) −8.32061 + 26.4217i −0.546275 + 1.73467i
\(233\) −14.4718 + 21.6586i −0.948082 + 1.41890i −0.0404289 + 0.999182i \(0.512872\pi\)
−0.907653 + 0.419722i \(0.862128\pi\)
\(234\) 1.43639 + 18.3264i 0.0939000 + 1.19803i
\(235\) −3.75793 0.370124i −0.245140 0.0241442i
\(236\) −1.35296 + 1.42431i −0.0880704 + 0.0927150i
\(237\) 13.3955 + 1.87567i 0.870130 + 0.121838i
\(238\) 8.25300 9.34419i 0.534962 0.605694i
\(239\) −7.46201 18.0149i −0.482677 1.16529i −0.958333 0.285654i \(-0.907789\pi\)
0.475655 0.879632i \(-0.342211\pi\)
\(240\) −11.7166 + 11.9635i −0.756302 + 0.772242i
\(241\) 0.423644 1.02277i 0.0272893 0.0658822i −0.909647 0.415381i \(-0.863648\pi\)
0.936937 + 0.349499i \(0.113648\pi\)
\(242\) −5.53766 11.3296i −0.355975 0.728296i
\(243\) 14.8788 + 4.64973i 0.954478 + 0.298281i
\(244\) 21.1228 + 3.64032i 1.35225 + 0.233047i
\(245\) 5.20743 + 6.34527i 0.332691 + 0.405385i
\(246\) −3.05981 9.37399i −0.195086 0.597664i
\(247\) −3.76211 18.9134i −0.239378 1.20343i
\(248\) 8.85836 + 3.77932i 0.562506 + 0.239987i
\(249\) −10.8715 0.445362i −0.688952 0.0282237i
\(250\) −9.67958 10.4080i −0.612190 0.658257i
\(251\) 6.19832 11.5962i 0.391234 0.731948i −0.606784 0.794867i \(-0.707541\pi\)
0.998019 + 0.0629185i \(0.0200408\pi\)
\(252\) 0.477949 + 11.3802i 0.0301079 + 0.716883i
\(253\) 10.2493 1.00946i 0.644365 0.0634644i
\(254\) −0.208906 0.274245i −0.0131080 0.0172077i
\(255\) 3.00897 + 19.2058i 0.188429 + 1.20272i
\(256\) 7.60671 + 14.0762i 0.475419 + 0.879759i
\(257\) 28.2737i 1.76367i −0.471562 0.881833i \(-0.656310\pi\)
0.471562 0.881833i \(-0.343690\pi\)
\(258\) 13.2143 13.7809i 0.822685 0.857961i
\(259\) −1.50312 15.2614i −0.0933994 0.948300i
\(260\) 5.56315 20.1923i 0.345012 1.25227i
\(261\) −28.9063 5.26188i −1.78925 0.325702i
\(262\) −4.82879 + 4.49086i −0.298324 + 0.277446i
\(263\) 0.764939 3.84561i 0.0471681 0.237130i −0.950008 0.312225i \(-0.898926\pi\)
0.997176 + 0.0750944i \(0.0239258\pi\)
\(264\) 1.73455 6.85442i 0.106754 0.421860i
\(265\) 8.14073 1.61929i 0.500081 0.0994723i
\(266\) −1.90488 11.7959i −0.116796 0.723252i
\(267\) −11.8238 + 13.2611i −0.723608 + 0.811564i
\(268\) −5.11363 + 29.6716i −0.312365 + 1.81248i
\(269\) 1.19848 + 2.24220i 0.0730726 + 0.136709i 0.915805 0.401624i \(-0.131554\pi\)
−0.842732 + 0.538333i \(0.819054\pi\)
\(270\) −14.1398 10.7480i −0.860523 0.654103i
\(271\) 6.14587 + 2.54570i 0.373335 + 0.154640i 0.561458 0.827505i \(-0.310240\pi\)
−0.188123 + 0.982145i \(0.560240\pi\)
\(272\) 18.3800 + 2.68354i 1.11445 + 0.162714i
\(273\) −7.42350 12.1597i −0.449291 0.735937i
\(274\) 7.37638 + 6.51498i 0.445623 + 0.393584i
\(275\) −1.16255 0.352656i −0.0701044 0.0212659i
\(276\) −20.3414 14.0453i −1.22441 0.845427i
\(277\) 2.47411 25.1200i 0.148655 1.50932i −0.574428 0.818555i \(-0.694775\pi\)
0.723082 0.690762i \(-0.242725\pi\)
\(278\) −14.5468 3.44587i −0.872461 0.206670i
\(279\) −2.80567 + 9.82223i −0.167971 + 0.588041i
\(280\) 3.89814 12.3784i 0.232959 0.739750i
\(281\) −14.3743 + 9.60461i −0.857500 + 0.572963i −0.904761 0.425919i \(-0.859951\pi\)
0.0472611 + 0.998883i \(0.484951\pi\)
\(282\) −3.68464 1.03380i −0.219417 0.0615618i
\(283\) 6.25825 + 20.6307i 0.372014 + 1.22637i 0.920678 + 0.390323i \(0.127637\pi\)
−0.548664 + 0.836043i \(0.684863\pi\)
\(284\) 5.88342 11.7216i 0.349117 0.695552i
\(285\) 16.0586 + 9.44825i 0.951230 + 0.559666i
\(286\) 2.25881 + 8.55027i 0.133566 + 0.505588i
\(287\) 5.40379 + 5.40379i 0.318976 + 0.318976i
\(288\) −13.8074 + 9.86689i −0.813609 + 0.581412i
\(289\) 3.22735 3.22735i 0.189844 0.189844i
\(290\) 28.9321 + 16.8400i 1.69895 + 0.988880i
\(291\) −4.82349 + 8.19819i −0.282758 + 0.480586i
\(292\) 2.95304 + 0.214440i 0.172813 + 0.0125491i
\(293\) −30.0320 + 9.11010i −1.75449 + 0.532218i −0.993223 0.116224i \(-0.962921\pi\)
−0.761264 + 0.648442i \(0.775421\pi\)
\(294\) 4.07463 + 7.25276i 0.237637 + 0.422989i
\(295\) 1.31895 + 1.97395i 0.0767922 + 0.114928i
\(296\) 17.8141 14.3076i 1.03543 0.831612i
\(297\) 7.44288 + 0.918831i 0.431880 + 0.0533160i
\(298\) 22.2976 13.7569i 1.29167 0.796918i
\(299\) 30.7695 + 3.03053i 1.77944 + 0.175260i
\(300\) 1.58281 + 2.44892i 0.0913837 + 0.141389i
\(301\) −4.29532 + 14.1598i −0.247578 + 0.816156i
\(302\) −0.899816 14.5110i −0.0517786 0.835012i
\(303\) −2.56798 + 1.56776i −0.147527 + 0.0900653i
\(304\) 13.1636 11.9856i 0.754983 0.687423i
\(305\) 9.91261 23.9312i 0.567594 1.37029i
\(306\) −0.393147 + 19.6977i −0.0224747 + 1.12604i
\(307\) −4.98568 + 2.66490i −0.284548 + 0.152094i −0.607496 0.794323i \(-0.707826\pi\)
0.322948 + 0.946417i \(0.395326\pi\)
\(308\) 1.20670 + 5.34514i 0.0687583 + 0.304568i
\(309\) 19.9723 + 17.8077i 1.13618 + 1.01304i
\(310\) 6.81258 9.43662i 0.386929 0.535964i
\(311\) −0.958082 4.81660i −0.0543278 0.273124i 0.944068 0.329752i \(-0.106965\pi\)
−0.998395 + 0.0566278i \(0.981965\pi\)
\(312\) 9.12178 19.1665i 0.516419 1.08509i
\(313\) −14.1112 2.80690i −0.797615 0.158655i −0.220573 0.975370i \(-0.570793\pi\)
−0.577041 + 0.816715i \(0.695793\pi\)
\(314\) −0.0730844 + 2.01553i −0.00412439 + 0.113743i
\(315\) 13.5424 + 2.46515i 0.763025 + 0.138896i
\(316\) −12.3239 9.59503i −0.693272 0.539763i
\(317\) −13.5512 + 1.33467i −0.761109 + 0.0749627i −0.471122 0.882068i \(-0.656151\pi\)
−0.289987 + 0.957031i \(0.593651\pi\)
\(318\) 8.41004 0.176526i 0.471612 0.00989910i
\(319\) −14.1349 −0.791402
\(320\) 18.6176 5.22089i 1.04075 0.291857i
\(321\) 11.8026 1.84910i 0.658755 0.103207i
\(322\) 18.9848 + 2.56740i 1.05798 + 0.143076i
\(323\) −2.02579 20.5682i −0.112718 1.14444i
\(324\) −12.2099 13.2257i −0.678329 0.734759i
\(325\) −3.21650 1.71926i −0.178420 0.0953672i
\(326\) −0.667804 + 18.4168i −0.0369862 + 1.02001i
\(327\) −0.560139 + 13.6732i −0.0309757 + 0.756131i
\(328\) −2.33913 + 11.1433i −0.129157 + 0.615288i
\(329\) 2.90889 0.578614i 0.160372 0.0319000i
\(330\) −7.61851 3.86886i −0.419385 0.212974i
\(331\) −23.0423 + 18.9103i −1.26652 + 1.03940i −0.269438 + 0.963018i \(0.586838\pi\)
−0.997078 + 0.0763858i \(0.975662\pi\)
\(332\) 10.6223 + 6.70950i 0.582972 + 0.368231i
\(333\) 17.4132 + 16.8549i 0.954236 + 0.923645i
\(334\) 6.35991 18.5213i 0.347999 1.01344i
\(335\) 33.6166 + 13.9245i 1.83667 + 0.760774i
\(336\) 6.07865 11.6633i 0.331618 0.636285i
\(337\) −1.71302 + 0.709554i −0.0933139 + 0.0386519i −0.428852 0.903375i \(-0.641082\pi\)
0.335538 + 0.942027i \(0.391082\pi\)
\(338\) 0.505321 + 8.14911i 0.0274858 + 0.443253i
\(339\) −2.65280 + 18.9455i −0.144080 + 1.02898i
\(340\) 8.05483 20.9526i 0.436834 1.13631i
\(341\) −0.481688 + 4.89066i −0.0260849 + 0.264844i
\(342\) 14.3545 + 12.2679i 0.776202 + 0.663371i
\(343\) −16.4097 10.9646i −0.886042 0.592034i
\(344\) −21.1634 + 6.17659i −1.14105 + 0.333019i
\(345\) −21.9702 + 20.2410i −1.18284 + 1.08974i
\(346\) −0.621882 + 0.231564i −0.0334326 + 0.0124490i
\(347\) 10.0859 + 33.2488i 0.541440 + 1.78489i 0.616088 + 0.787678i \(0.288717\pi\)
−0.0746480 + 0.997210i \(0.523783\pi\)
\(348\) 25.8942 + 21.9204i 1.38807 + 1.17506i
\(349\) −15.6925 12.8785i −0.840001 0.689371i 0.112584 0.993642i \(-0.464087\pi\)
−0.952585 + 0.304271i \(0.901587\pi\)
\(350\) −1.95309 1.13680i −0.104397 0.0607647i
\(351\) 21.3769 + 7.06461i 1.14101 + 0.377081i
\(352\) −5.68504 + 5.85968i −0.303014 + 0.312322i
\(353\) −17.2534 + 17.2534i −0.918308 + 0.918308i −0.996906 0.0785986i \(-0.974955\pi\)
0.0785986 + 0.996906i \(0.474955\pi\)
\(354\) 0.967176 + 2.20303i 0.0514048 + 0.117090i
\(355\) −12.2520 10.0549i −0.650267 0.533660i
\(356\) 19.4725 6.45752i 1.03204 0.342248i
\(357\) −6.64048 13.7493i −0.351452 0.727689i
\(358\) 28.1908 + 12.8929i 1.48993 + 0.681409i
\(359\) −4.74617 7.10314i −0.250493 0.374890i 0.684819 0.728713i \(-0.259881\pi\)
−0.935312 + 0.353824i \(0.884881\pi\)
\(360\) 7.95675 + 18.9023i 0.419358 + 0.996237i
\(361\) −0.672206 0.449153i −0.0353792 0.0236397i
\(362\) −27.1624 6.43427i −1.42762 0.338178i
\(363\) −15.4194 + 0.883443i −0.809310 + 0.0463687i
\(364\) 0.422492 + 16.4452i 0.0221446 + 0.861960i
\(365\) 1.03867 3.42403i 0.0543663 0.179222i
\(366\) 14.1232 22.1285i 0.738233 1.15668i
\(367\) −1.24876 + 0.517252i −0.0651846 + 0.0270003i −0.415038 0.909804i \(-0.636232\pi\)
0.349853 + 0.936805i \(0.386232\pi\)
\(368\) 12.2627 + 25.7750i 0.639240 + 1.34361i
\(369\) −12.0364 0.987828i −0.626591 0.0514243i
\(370\) −12.1252 24.8073i −0.630361 1.28967i
\(371\) −5.74947 + 3.07316i −0.298498 + 0.159550i
\(372\) 8.46687 8.21236i 0.438987 0.425791i
\(373\) 5.19815 4.26601i 0.269150 0.220886i −0.490131 0.871649i \(-0.663051\pi\)
0.759281 + 0.650763i \(0.225551\pi\)
\(374\) 1.51103 + 9.35696i 0.0781333 + 0.483837i
\(375\) −16.3419 + 5.99778i −0.843890 + 0.309724i
\(376\) 3.09149 + 3.15748i 0.159432 + 0.162835i
\(377\) −41.6193 8.27858i −2.14350 0.426369i
\(378\) 13.0782 + 4.85446i 0.672670 + 0.249687i
\(379\) −7.78425 4.16077i −0.399850 0.213724i 0.259200 0.965824i \(-0.416541\pi\)
−0.659050 + 0.752100i \(0.729041\pi\)
\(380\) −10.6257 18.7072i −0.545088 0.959658i
\(381\) −0.408728 + 0.105926i −0.0209398 + 0.00542675i
\(382\) −5.27041 6.91882i −0.269658 0.353998i
\(383\) 29.4410 1.50437 0.752184 0.658954i \(-0.229001\pi\)
0.752184 + 0.658954i \(0.229001\pi\)
\(384\) 19.5018 1.91816i 0.995198 0.0978859i
\(385\) 6.62209 0.337493
\(386\) −16.2335 21.3108i −0.826264 1.08469i
\(387\) −9.29922 21.4551i −0.472706 1.09062i
\(388\) 9.55033 5.42461i 0.484845 0.275393i
\(389\) 31.7789 + 16.9862i 1.61126 + 0.861234i 0.997419 + 0.0718007i \(0.0228746\pi\)
0.613836 + 0.789433i \(0.289625\pi\)
\(390\) −20.1663 15.8536i −1.02116 0.802780i
\(391\) 32.5002 + 6.46468i 1.64360 + 0.326933i
\(392\) 0.101430 9.60537i 0.00512301 0.485145i
\(393\) 2.78268 + 7.58183i 0.140368 + 0.382453i
\(394\) 0.117485 + 0.727519i 0.00591880 + 0.0366519i
\(395\) −14.5905 + 11.9741i −0.734128 + 0.602484i
\(396\) −6.91853 5.20783i −0.347669 0.261703i
\(397\) −20.9095 + 11.1764i −1.04942 + 0.560925i −0.903596 0.428386i \(-0.859082\pi\)
−0.145821 + 0.989311i \(0.546582\pi\)
\(398\) 11.4924 + 23.5126i 0.576063 + 1.17858i
\(399\) −14.2240 3.44007i −0.712092 0.172219i
\(400\) −0.172889 3.36256i −0.00864446 0.168128i
\(401\) 15.3826 6.37169i 0.768171 0.318187i 0.0360397 0.999350i \(-0.488526\pi\)
0.732131 + 0.681163i \(0.238526\pi\)
\(402\) 31.0844 + 19.8392i 1.55035 + 0.989490i
\(403\) −4.28268 + 14.1181i −0.213336 + 0.703273i
\(404\) 3.47303 0.0892255i 0.172789 0.00443913i
\(405\) −18.8400 + 10.8736i −0.936169 + 0.540312i
\(406\) −25.5852 6.06067i −1.26977 0.300786i
\(407\) 9.69396 + 6.47730i 0.480512 + 0.321068i
\(408\) 11.7427 19.4846i 0.581349 0.964631i
\(409\) 18.7435 + 28.0517i 0.926809 + 1.38707i 0.922047 + 0.387079i \(0.126516\pi\)
0.00476212 + 0.999989i \(0.498484\pi\)
\(410\) 12.5135 + 5.72295i 0.617996 + 0.282636i
\(411\) 10.8538 5.24205i 0.535378 0.258571i
\(412\) −9.72556 29.3272i −0.479144 1.44485i
\(413\) −1.44140 1.18292i −0.0709265 0.0582078i
\(414\) −25.5032 + 16.3141i −1.25341 + 0.801795i
\(415\) 10.7361 10.7361i 0.527017 0.527017i
\(416\) −20.1711 + 13.9238i −0.988972 + 0.682670i
\(417\) −10.7866 + 14.7944i −0.528224 + 0.724485i
\(418\) 7.85106 + 4.56973i 0.384008 + 0.223513i
\(419\) −24.6945 20.2663i −1.20641 0.990072i −0.999932 0.0116199i \(-0.996301\pi\)
−0.206474 0.978452i \(-0.566199\pi\)
\(420\) −12.1312 10.2695i −0.591943 0.501102i
\(421\) −6.16672 20.3290i −0.300548 0.990773i −0.969009 0.247026i \(-0.920547\pi\)
0.668461 0.743747i \(-0.266953\pi\)
\(422\) −7.04674 + 2.62393i −0.343030 + 0.127731i
\(423\) −2.91399 + 3.67104i −0.141683 + 0.178492i
\(424\) −8.51746 4.66898i −0.413645 0.226745i
\(425\) −3.25009 2.17164i −0.157653 0.105340i
\(426\) −10.4485 12.2002i −0.506233 0.591103i
\(427\) −1.99416 + 20.2470i −0.0965040 + 0.979821i
\(428\) −12.8760 4.94993i −0.622384 0.239264i
\(429\) 10.7265 + 1.50195i 0.517881 + 0.0725150i
\(430\) 1.64893 + 26.5916i 0.0795183 + 1.28236i
\(431\) −25.9892 + 10.7651i −1.25185 + 0.518535i −0.907400 0.420268i \(-0.861936\pi\)
−0.344454 + 0.938803i \(0.611936\pi\)
\(432\) 4.59797 + 20.2696i 0.221220 + 0.975224i
\(433\) −7.43702 3.08052i −0.357400 0.148040i 0.196756 0.980452i \(-0.436959\pi\)
−0.554157 + 0.832412i \(0.686959\pi\)
\(434\) −2.96888 + 8.64594i −0.142511 + 0.415018i
\(435\) 32.7313 24.6909i 1.56935 1.18384i
\(436\) 8.43864 13.3598i 0.404137 0.639818i
\(437\) 24.5502 20.1479i 1.17440 0.963803i
\(438\) 1.64191 3.23323i 0.0784534 0.154490i
\(439\) −6.35955 + 1.26499i −0.303525 + 0.0603748i −0.344503 0.938785i \(-0.611953\pi\)
0.0409784 + 0.999160i \(0.486953\pi\)
\(440\) 5.39456 + 8.26106i 0.257176 + 0.393830i
\(441\) 10.1219 1.16367i 0.481997 0.0554131i
\(442\) −1.03110 + 28.4359i −0.0490446 + 1.35256i
\(443\) 25.5014 + 13.6308i 1.21161 + 0.647619i 0.948387 0.317117i \(-0.102715\pi\)
0.263222 + 0.964735i \(0.415215\pi\)
\(444\) −7.71367 26.8994i −0.366075 1.27659i
\(445\) −2.43009 24.6731i −0.115197 1.16962i
\(446\) −4.76174 0.643954i −0.225475 0.0304921i
\(447\) −4.96667 31.7015i −0.234915 1.49943i
\(448\) −12.8028 + 8.16887i −0.604877 + 0.385943i
\(449\) 19.4433 0.917586 0.458793 0.888543i \(-0.348282\pi\)
0.458793 + 0.888543i \(0.348282\pi\)
\(450\) 3.51583 0.626682i 0.165738 0.0295421i
\(451\) −5.78203 + 0.569481i −0.272265 + 0.0268158i
\(452\) 13.5705 17.4299i 0.638301 0.819835i
\(453\) −16.8138 5.86205i −0.789980 0.275423i
\(454\) −0.783156 + 21.5980i −0.0367553 + 1.01364i
\(455\) 19.4983 + 3.87845i 0.914094 + 0.181825i
\(456\) −7.29585 20.5469i −0.341660 0.962195i
\(457\) −2.87558 14.4565i −0.134514 0.676247i −0.987916 0.154993i \(-0.950464\pi\)
0.853402 0.521254i \(-0.174536\pi\)
\(458\) 7.60092 10.5286i 0.355168 0.491969i
\(459\) 22.0583 + 9.78072i 1.02959 + 0.456525i
\(460\) 33.6475 7.59615i 1.56882 0.354172i
\(461\) 4.77360 2.55154i 0.222329 0.118837i −0.356473 0.934306i \(-0.616021\pi\)
0.578801 + 0.815469i \(0.303521\pi\)
\(462\) 6.60826 + 1.17087i 0.307444 + 0.0544738i
\(463\) −1.91499 + 4.62320i −0.0889973 + 0.214858i −0.962111 0.272658i \(-0.912097\pi\)
0.873114 + 0.487517i \(0.162097\pi\)
\(464\) −13.2819 36.8548i −0.616595 1.71094i
\(465\) −7.42762 12.1664i −0.344448 0.564205i
\(466\) −2.27994 36.7677i −0.105616 1.70323i
\(467\) 1.94631 6.41611i 0.0900643 0.296902i −0.900323 0.435222i \(-0.856670\pi\)
0.990388 + 0.138319i \(0.0441700\pi\)
\(468\) −17.3210 19.3862i −0.800664 0.896126i
\(469\) −28.4414 2.80123i −1.31330 0.129349i
\(470\) 4.54483 2.80402i 0.209637 0.129340i
\(471\) 2.24150 + 1.03790i 0.103283 + 0.0478238i
\(472\) 0.301490 2.76179i 0.0138772 0.127122i
\(473\) −6.24991 9.35365i −0.287371 0.430081i
\(474\) −16.6772 + 9.36933i −0.766010 + 0.430347i
\(475\) −3.58504 + 1.08751i −0.164493 + 0.0498983i
\(476\) −1.27694 + 17.5847i −0.0585285 + 0.805993i
\(477\) 3.78701 9.58115i 0.173395 0.438691i
\(478\) 23.8328 + 13.8720i 1.09009 + 0.634489i
\(479\) −26.6217 + 26.6217i −1.21638 + 1.21638i −0.247483 + 0.968892i \(0.579604\pi\)
−0.968892 + 0.247483i \(0.920396\pi\)
\(480\) 2.92878 23.4996i 0.133680 1.07260i
\(481\) 24.7496 + 24.7496i 1.12848 + 1.12848i
\(482\) 0.399877 + 1.51365i 0.0182139 + 0.0689451i
\(483\) 11.8982 20.2226i 0.541385 0.920159i
\(484\) 15.9389 + 8.00019i 0.724497 + 0.363645i
\(485\) −3.85303 12.7017i −0.174957 0.576757i
\(486\) −20.7233 + 7.51971i −0.940027 + 0.341101i
\(487\) −11.6494 + 7.78389i −0.527885 + 0.352722i −0.790778 0.612103i \(-0.790324\pi\)
0.262892 + 0.964825i \(0.415324\pi\)
\(488\) −26.8826 + 14.0061i −1.21692 + 0.634028i
\(489\) 20.4816 + 9.48372i 0.926209 + 0.428869i
\(490\) −11.2960 2.67581i −0.510301 0.120881i
\(491\) 3.74838 38.0579i 0.169162 1.71753i −0.418325 0.908297i \(-0.637383\pi\)
0.587487 0.809234i \(-0.300117\pi\)
\(492\) 11.4754 + 7.92353i 0.517353 + 0.357221i
\(493\) −43.5212 13.2020i −1.96009 0.594588i
\(494\) 20.4405 + 18.0535i 0.919661 + 0.812265i
\(495\) −7.98029 + 6.76976i −0.358687 + 0.304278i
\(496\) −13.2043 + 3.33958i −0.592893 + 0.149951i
\(497\) 11.5012 + 4.76397i 0.515901 + 0.213693i
\(498\) 12.6120 8.81544i 0.565158 0.395029i
\(499\) 6.31710 + 11.8185i 0.282792 + 0.529067i 0.982709 0.185157i \(-0.0592795\pi\)
−0.699917 + 0.714225i \(0.746779\pi\)
\(500\) 19.8087 + 3.41385i 0.885873 + 0.152672i
\(501\) −17.9015 15.9613i −0.799780 0.713100i
\(502\) 2.96449 + 18.3574i 0.132312 + 0.819333i
\(503\) −5.14031 + 1.02247i −0.229195 + 0.0455898i −0.308352 0.951272i \(-0.599777\pi\)
0.0791564 + 0.996862i \(0.474777\pi\)
\(504\) −10.2901 12.3930i −0.458357 0.552030i
\(505\) 0.819084 4.11781i 0.0364488 0.183240i
\(506\) −10.6653 + 9.91888i −0.474129 + 0.440948i
\(507\) 9.44233 + 3.29202i 0.419349 + 0.146204i
\(508\) 0.470037 + 0.129499i 0.0208545 + 0.00574560i
\(509\) −1.78800 18.1538i −0.0792516 0.804655i −0.949859 0.312677i \(-0.898774\pi\)
0.870608 0.491978i \(-0.163726\pi\)
\(510\) −19.8438 19.0279i −0.878697 0.842568i
\(511\) 2.81035i 0.124323i
\(512\) −20.6203 9.31691i −0.911295 0.411753i
\(513\) 20.6582 10.3956i 0.912081 0.458976i
\(514\) 24.2296 + 31.8078i 1.06872 + 1.40298i
\(515\) −37.1597 + 3.65991i −1.63745 + 0.161275i
\(516\) −3.05624 + 26.8276i −0.134544 + 1.18102i
\(517\) −1.06293 + 1.98860i −0.0467474 + 0.0874583i
\(518\) 14.7695 + 15.8809i 0.648935 + 0.697767i
\(519\) −0.0332667 + 0.812054i −0.00146025 + 0.0356452i
\(520\) 11.0456 + 27.4836i 0.484380 + 1.20524i
\(521\) 5.73848 + 28.8493i 0.251407 + 1.26391i 0.875752 + 0.482762i \(0.160366\pi\)
−0.624344 + 0.781149i \(0.714634\pi\)
\(522\) 37.0286 18.8520i 1.62070 0.825131i
\(523\) −14.5770 17.7622i −0.637409 0.776685i 0.349678 0.936870i \(-0.386291\pi\)
−0.987087 + 0.160185i \(0.948791\pi\)
\(524\) 1.58386 9.19029i 0.0691913 0.401480i
\(525\) −2.20956 + 1.66679i −0.0964332 + 0.0727445i
\(526\) 2.43500 + 4.98181i 0.106171 + 0.217217i
\(527\) −6.05099 + 14.6084i −0.263585 + 0.636352i
\(528\) 3.92264 + 9.19763i 0.170711 + 0.400275i
\(529\) 10.6846 + 25.7949i 0.464548 + 1.12152i
\(530\) −7.77060 + 8.79801i −0.337533 + 0.382161i
\(531\) 2.94633 0.0479951i 0.127860 0.00208281i
\(532\) 12.2516 + 11.6379i 0.531175 + 0.504566i
\(533\) −17.3583 1.70965i −0.751873 0.0740531i
\(534\) 1.93750 25.0512i 0.0838439 1.08407i
\(535\) −9.26172 + 13.8611i −0.400419 + 0.599269i
\(536\) −19.6747 37.7626i −0.849819 1.63110i
\(537\) 27.9224 25.7247i 1.20494 1.11010i
\(538\) −3.26976 1.49540i −0.140970 0.0644715i
\(539\) 4.69053 1.42286i 0.202035 0.0612868i
\(540\) 25.1179 0.0258843i 1.08090 0.00111388i
\(541\) 20.3000 24.7356i 0.872766 1.06347i −0.124691 0.992196i \(-0.539794\pi\)
0.997457 0.0712728i \(-0.0227061\pi\)
\(542\) −9.09565 + 2.40289i −0.390692 + 0.103213i
\(543\) −20.1412 + 27.6247i −0.864343 + 1.18549i
\(544\) −22.9771 + 12.7321i −0.985136 + 0.545882i
\(545\) −13.5030 13.5030i −0.578406 0.578406i
\(546\) 18.7718 + 7.31789i 0.803359 + 0.313177i
\(547\) −0.234886 + 0.286209i −0.0100430 + 0.0122374i −0.778008 0.628255i \(-0.783770\pi\)
0.767965 + 0.640492i \(0.221270\pi\)
\(548\) −13.8815 1.00803i −0.592988 0.0430608i
\(549\) −18.2953 26.4383i −0.780826 1.12836i
\(550\) 1.61008 0.599528i 0.0686538 0.0255640i
\(551\) −36.2427 + 24.2166i −1.54399 + 1.03166i
\(552\) 34.9203 1.63099i 1.48631 0.0694196i
\(553\) 8.23631 12.3265i 0.350244 0.524177i
\(554\) 18.7436 + 30.3801i 0.796340 + 1.29073i
\(555\) −33.7623 + 1.93438i −1.43313 + 0.0821099i
\(556\) 19.3181 8.58952i 0.819269 0.364277i
\(557\) −13.2271 4.01239i −0.560449 0.170010i −0.00266507 0.999996i \(-0.500848\pi\)
−0.557784 + 0.829986i \(0.688348\pi\)
\(558\) −5.26093 13.4543i −0.222713 0.569567i
\(559\) −12.9241 31.2016i −0.546633 1.31969i
\(560\) 6.22245 + 17.2662i 0.262946 + 0.729629i
\(561\) 11.2831 + 2.72880i 0.476371 + 0.115210i
\(562\) 7.94022 23.1234i 0.334938 0.975402i
\(563\) 10.6378 + 19.9020i 0.448331 + 0.838768i 0.999989 + 0.00469790i \(0.00149539\pi\)
−0.551658 + 0.834070i \(0.686005\pi\)
\(564\) 5.03112 1.99458i 0.211848 0.0839871i
\(565\) −16.9353 20.6357i −0.712472 0.868150i
\(566\) −24.7202 17.8463i −1.03907 0.750136i
\(567\) 11.6812 12.4682i 0.490566 0.523616i
\(568\) 3.42622 + 18.2287i 0.143761 + 0.764858i
\(569\) −1.67666 + 8.42914i −0.0702893 + 0.353368i −0.999884 0.0152146i \(-0.995157\pi\)
0.929595 + 0.368583i \(0.120157\pi\)
\(570\) −26.1626 + 3.13242i −1.09583 + 0.131203i
\(571\) 19.6934 36.8438i 0.824144 1.54187i −0.0162361 0.999868i \(-0.505168\pi\)
0.840380 0.541997i \(-0.182332\pi\)
\(572\) −9.86843 7.68329i −0.412620 0.321254i
\(573\) −10.3116 + 2.67236i −0.430774 + 0.111639i
\(574\) −10.7101 1.44838i −0.447031 0.0604542i
\(575\) 6.00660i 0.250492i
\(576\) 7.07769 22.9326i 0.294904 0.955527i
\(577\) 29.7906i 1.24020i 0.784523 + 0.620100i \(0.212908\pi\)
−0.784523 + 0.620100i \(0.787092\pi\)
\(578\) −0.865028 + 6.39648i −0.0359804 + 0.266059i
\(579\) −31.7610 + 8.23119i −1.31994 + 0.342077i
\(580\) −46.9798 + 5.84886i −1.95073 + 0.242861i
\(581\) −5.62159 + 10.5172i −0.233223 + 0.436329i
\(582\) −1.59916 13.3565i −0.0662871 0.553644i
\(583\) 0.966935 4.86111i 0.0400463 0.201327i
\(584\) −3.50592 + 2.28940i −0.145076 + 0.0947362i
\(585\) −27.4624 + 15.2592i −1.13543 + 0.630889i
\(586\) 25.9788 35.9851i 1.07317 1.48653i
\(587\) 17.2234 + 20.9867i 0.710885 + 0.866216i 0.995726 0.0923591i \(-0.0294408\pi\)
−0.284841 + 0.958575i \(0.591941\pi\)
\(588\) −10.7993 4.66750i −0.445355 0.192484i
\(589\) 7.14386 + 13.3652i 0.294357 + 0.550704i
\(590\) −3.17541 1.09039i −0.130730 0.0448905i
\(591\) 0.877276 + 0.212169i 0.0360863 + 0.00872745i
\(592\) −7.77972 + 31.3620i −0.319745 + 1.28897i
\(593\) 17.3006 + 41.7673i 0.710450 + 1.71518i 0.698875 + 0.715244i \(0.253684\pi\)
0.0115748 + 0.999933i \(0.496316\pi\)
\(594\) −9.16060 + 5.34460i −0.375864 + 0.219292i
\(595\) 20.3893 + 6.18504i 0.835881 + 0.253562i
\(596\) −13.2955 + 34.5847i −0.544603 + 1.41665i
\(597\) 32.0002 1.83343i 1.30968 0.0750372i
\(598\) −37.2125 + 22.9590i −1.52173 + 0.938863i
\(599\) 7.15208 10.7038i 0.292226 0.437347i −0.656086 0.754686i \(-0.727789\pi\)
0.948312 + 0.317339i \(0.102789\pi\)
\(600\) −3.87930 1.39861i −0.158372 0.0570981i
\(601\) 1.87889 1.25543i 0.0766413 0.0512101i −0.516659 0.856191i \(-0.672825\pi\)
0.593301 + 0.804981i \(0.297825\pi\)
\(602\) −7.30221 19.6106i −0.297616 0.799268i
\(603\) 37.1385 25.6999i 1.51240 1.04658i
\(604\) 13.4477 + 15.5536i 0.547178 + 0.632869i
\(605\) 13.6725 16.6600i 0.555868 0.677327i
\(606\) 1.54545 3.96439i 0.0627798 0.161042i
\(607\) −5.12555 5.12555i −0.208040 0.208040i 0.595394 0.803434i \(-0.296996\pi\)
−0.803434 + 0.595394i \(0.796996\pi\)
\(608\) −4.53769 + 24.7645i −0.184028 + 1.00433i
\(609\) −18.9717 + 26.0207i −0.768774 + 1.05441i
\(610\) 9.35652 + 35.4172i 0.378834 + 1.43400i
\(611\) −4.29440 + 5.23274i −0.173733 + 0.211694i
\(612\) −16.4380 22.4967i −0.664465 0.909377i
\(613\) −30.6482 + 9.29703i −1.23787 + 0.375503i −0.840327 0.542081i \(-0.817637\pi\)
−0.397542 + 0.917584i \(0.630137\pi\)
\(614\) 3.32514 7.27055i 0.134192 0.293416i
\(615\) 12.3943 11.4188i 0.499788 0.460451i
\(616\) −5.93813 4.97915i −0.239254 0.200616i
\(617\) 4.80262 7.18762i 0.193346 0.289363i −0.722112 0.691776i \(-0.756829\pi\)
0.915458 + 0.402413i \(0.131829\pi\)
\(618\) −37.7292 2.91804i −1.51769 0.117381i
\(619\) 25.4376 + 2.50539i 1.02242 + 0.100700i 0.595309 0.803497i \(-0.297030\pi\)
0.427116 + 0.904197i \(0.359530\pi\)
\(620\) 0.422727 + 16.4543i 0.0169771 + 0.660820i
\(621\) 6.33502 + 36.5337i 0.254216 + 1.46605i
\(622\) 5.20549 + 4.59761i 0.208721 + 0.184347i
\(623\) 7.45192 + 17.9905i 0.298555 + 0.720776i
\(624\) 6.16304 + 29.3792i 0.246719 + 1.17611i
\(625\) 10.9066 26.3308i 0.436262 1.05323i
\(626\) 18.2805 8.93508i 0.730635 0.357118i
\(627\) 8.88201 6.70016i 0.354714 0.267579i
\(628\) −1.64502 2.33009i −0.0656434 0.0929808i
\(629\) 23.7978 + 28.9977i 0.948880 + 1.15621i
\(630\) −17.3476 + 8.83203i −0.691146 + 0.351877i
\(631\) 3.04359 + 15.3012i 0.121163 + 0.609129i 0.992880 + 0.119119i \(0.0380070\pi\)
−0.871717 + 0.490010i \(0.836993\pi\)
\(632\) 22.0869 + 0.233232i 0.878569 + 0.00927748i
\(633\) −0.376955 + 9.20164i −0.0149826 + 0.365732i
\(634\) 14.1012 13.1144i 0.560031 0.520838i
\(635\) 0.277746 0.519625i 0.0110220 0.0206207i
\(636\) −9.30997 + 7.40569i −0.369164 + 0.293655i
\(637\) 14.6443 1.44234i 0.580228 0.0571474i
\(638\) 15.9017 12.1131i 0.629554 0.479562i
\(639\) −18.7304 + 6.01664i −0.740961 + 0.238014i
\(640\) −16.4706 + 21.8281i −0.651056 + 0.862830i
\(641\) 16.2092i 0.640223i 0.947380 + 0.320112i \(0.103720\pi\)
−0.947380 + 0.320112i \(0.896280\pi\)
\(642\) −11.6932 + 12.1946i −0.461494 + 0.481283i
\(643\) 1.04748 + 10.6352i 0.0413084 + 0.419411i 0.993493 + 0.113889i \(0.0363309\pi\)
−0.952185 + 0.305522i \(0.901169\pi\)
\(644\) −23.5579 + 13.3809i −0.928312 + 0.527283i
\(645\) 30.8115 + 10.7423i 1.21320 + 0.422978i
\(646\) 19.9052 + 21.4030i 0.783159 + 0.842091i
\(647\) 5.00936 25.1838i 0.196938 0.990076i −0.748217 0.663454i \(-0.769090\pi\)
0.945155 0.326622i \(-0.105910\pi\)
\(648\) 25.0700 + 4.41533i 0.984843 + 0.173450i
\(649\) 1.39039 0.276565i 0.0545774 0.0108561i
\(650\) 5.09189 0.822274i 0.199720 0.0322523i
\(651\) 8.35662 + 7.45094i 0.327522 + 0.292025i
\(652\) −15.0313 21.2911i −0.588669 0.833822i
\(653\) −6.64416 12.4303i −0.260006 0.486437i 0.717717 0.696335i \(-0.245187\pi\)
−0.977723 + 0.209897i \(0.932687\pi\)
\(654\) −11.0873 15.8623i −0.433548 0.620266i
\(655\) −10.4122 4.31287i −0.406838 0.168518i
\(656\) −6.91793 14.5407i −0.270100 0.567720i
\(657\) −2.87302 3.38676i −0.112087 0.132130i
\(658\) −2.77663 + 3.14375i −0.108244 + 0.122556i
\(659\) −33.1682 10.0615i −1.29205 0.391939i −0.431873 0.901934i \(-0.642147\pi\)
−0.860177 + 0.509995i \(0.829647\pi\)
\(660\) 11.8863 2.17634i 0.462672 0.0847141i
\(661\) 0.313521 3.18323i 0.0121946 0.123813i −0.987160 0.159734i \(-0.948936\pi\)
0.999355 + 0.0359206i \(0.0114364\pi\)
\(662\) 9.71696 41.0204i 0.377661 1.59430i
\(663\) 31.6240 + 14.6431i 1.22817 + 0.568690i
\(664\) −17.6998 + 1.55475i −0.686885 + 0.0603362i
\(665\) 16.9794 11.3453i 0.658435 0.439952i
\(666\) −34.0338 4.03926i −1.31878 0.156518i
\(667\) −20.2870 66.8774i −0.785517 2.58950i
\(668\) 8.71719 + 26.2865i 0.337278 + 1.01706i
\(669\) −2.98429 + 5.07221i −0.115379 + 0.196103i
\(670\) −49.7513 + 13.1433i −1.92206 + 0.507770i
\(671\) −10.9372 10.9372i −0.422225 0.422225i
\(672\) 3.15657 + 18.3303i 0.121767 + 0.707108i
\(673\) 26.2088 26.2088i 1.01027 1.01027i 0.0103278 0.999947i \(-0.496712\pi\)
0.999947 0.0103278i \(-0.00328751\pi\)
\(674\) 1.31907 2.26624i 0.0508087 0.0872922i
\(675\) 0.958793 4.26748i 0.0369040 0.164255i
\(676\) −7.55198 8.73466i −0.290461 0.335948i
\(677\) −19.3471 + 5.86888i −0.743569 + 0.225559i −0.639265 0.768986i \(-0.720761\pi\)
−0.104304 + 0.994545i \(0.533261\pi\)
\(678\) −13.2512 23.5870i −0.508911 0.905851i
\(679\) 5.79197 + 8.66829i 0.222275 + 0.332659i
\(680\) 8.89396 + 30.4742i 0.341068 + 1.16863i
\(681\) 24.0194 + 11.1219i 0.920427 + 0.426192i
\(682\) −3.64923 5.91476i −0.139736 0.226488i
\(683\) −5.89774 0.580876i −0.225671 0.0222266i −0.0154502 0.999881i \(-0.504918\pi\)
−0.210220 + 0.977654i \(0.567418\pi\)
\(684\) −26.6619 1.50000i −1.01944 0.0573541i
\(685\) −4.88252 + 16.0955i −0.186551 + 0.614977i
\(686\) 27.8571 1.72740i 1.06359 0.0659526i
\(687\) −8.28713 13.5743i −0.316174 0.517892i
\(688\) 18.5156 25.0849i 0.705901 0.956353i
\(689\) 5.69415 13.7469i 0.216930 0.523715i
\(690\) 7.37057 41.5987i 0.280593 1.58364i
\(691\) −23.2345 + 12.4191i −0.883883 + 0.472445i −0.849880 0.526976i \(-0.823326\pi\)
−0.0340033 + 0.999422i \(0.510826\pi\)
\(692\) 0.501171 0.793439i 0.0190517 0.0301620i
\(693\) 4.45458 6.90773i 0.169216 0.262403i
\(694\) −39.8396 28.7614i −1.51229 1.09177i
\(695\) −4.98443 25.0584i −0.189070 0.950520i
\(696\) −47.9158 2.46997i −1.81624 0.0936240i
\(697\) −18.3347 3.64700i −0.694476 0.138140i
\(698\) 28.6904 + 1.04033i 1.08595 + 0.0393771i
\(699\) −42.6025 14.8532i −1.61138 0.561799i
\(700\) 3.17142 0.394834i 0.119868 0.0149233i
\(701\) −36.9634 + 3.64058i −1.39609 + 0.137503i −0.767906 0.640563i \(-0.778701\pi\)
−0.628183 + 0.778066i \(0.716201\pi\)
\(702\) −30.1030 + 10.3716i −1.13617 + 0.391451i
\(703\) 35.9531 1.35600
\(704\) 1.37410 11.4640i 0.0517885 0.432065i
\(705\) −1.01234 6.46159i −0.0381268 0.243358i
\(706\) 4.62444 34.1956i 0.174043 1.28697i
\(707\) 0.323224 + 3.28175i 0.0121561 + 0.123423i
\(708\) −2.97599 1.64956i −0.111844 0.0619944i
\(709\) −17.2369 9.21330i −0.647345 0.346013i 0.114829 0.993385i \(-0.463368\pi\)
−0.762174 + 0.647372i \(0.775868\pi\)
\(710\) 22.4001 + 0.812241i 0.840661 + 0.0304829i
\(711\) 2.67579 + 23.2747i 0.100350 + 0.872869i
\(712\) −16.3726 + 23.9519i −0.613590 + 0.897637i
\(713\) −23.8309 + 4.74025i −0.892473 + 0.177524i
\(714\) 19.2531 + 9.77721i 0.720531 + 0.365903i
\(715\) −11.6835 + 9.58836i −0.436936 + 0.358584i
\(716\) −42.7632 + 9.65409i −1.59814 + 0.360790i
\(717\) 26.9624 20.3391i 1.00693 0.759579i
\(718\) 11.4266 + 3.92370i 0.426435 + 0.146431i
\(719\) 7.90662 + 3.27503i 0.294867 + 0.122138i 0.525213 0.850971i \(-0.323986\pi\)
−0.230346 + 0.973109i \(0.573986\pi\)
\(720\) −25.1499 14.4463i −0.937281 0.538382i
\(721\) 27.0952 11.2232i 1.00908 0.417974i
\(722\) 1.14114 0.0707611i 0.0424687 0.00263346i
\(723\) 1.89891 + 0.265891i 0.0706214 + 0.00988858i
\(724\) 36.0715 16.0387i 1.34059 0.596073i
\(725\) −0.808043 + 8.20420i −0.0300100 + 0.304696i
\(726\) 16.5897 14.2078i 0.615701 0.527300i
\(727\) −15.2418 10.1842i −0.565286 0.377712i 0.239843 0.970812i \(-0.422904\pi\)
−0.805129 + 0.593099i \(0.797904\pi\)
\(728\) −14.5682 18.1386i −0.539934 0.672263i
\(729\) −1.33082 + 26.9672i −0.0492897 + 0.998785i
\(730\) 1.76577 + 4.74211i 0.0653542 + 0.175513i
\(731\) −10.5071 34.6372i −0.388618 1.28110i
\(732\) 3.07477 + 36.9975i 0.113647 + 1.36747i
\(733\) 16.2008 + 13.2957i 0.598392 + 0.491087i 0.884143 0.467216i \(-0.154743\pi\)
−0.285751 + 0.958304i \(0.592243\pi\)
\(734\) 0.961578 1.65205i 0.0354925 0.0609781i
\(735\) −8.37612 + 11.4883i −0.308958 + 0.423751i
\(736\) −35.8837 18.4880i −1.32269 0.681475i
\(737\) 15.3637 15.3637i 0.565929 0.565929i
\(738\) 14.3874 9.20348i 0.529609 0.338785i
\(739\) 9.67979 + 7.94400i 0.356077 + 0.292225i 0.795376 0.606116i \(-0.207273\pi\)
−0.439300 + 0.898341i \(0.644773\pi\)
\(740\) 34.8998 + 17.5172i 1.28294 + 0.643944i
\(741\) 30.0767 14.5261i 1.10489 0.533630i
\(742\) 3.83454 8.38438i 0.140770 0.307800i
\(743\) −22.2968 33.3695i −0.817989 1.22421i −0.971730 0.236096i \(-0.924132\pi\)
0.153741 0.988111i \(-0.450868\pi\)
\(744\) −2.48748 + 16.4947i −0.0911954 + 0.604723i
\(745\) 37.2309 + 24.8769i 1.36403 + 0.911418i
\(746\) −2.19207 + 9.25387i −0.0802574 + 0.338808i
\(747\) −3.97719 18.4213i −0.145518 0.674000i
\(748\) −9.71847 9.23163i −0.355343 0.337542i
\(749\) 3.80089 12.5299i 0.138882 0.457831i
\(750\) 13.2446 20.7519i 0.483625 0.757751i
\(751\) 12.6943 5.25813i 0.463220 0.191872i −0.138853 0.990313i \(-0.544342\pi\)
0.602073 + 0.798441i \(0.294342\pi\)
\(752\) −6.18376 0.902849i −0.225499 0.0329235i
\(753\) 22.1363 + 5.35364i 0.806690 + 0.195097i
\(754\) 53.9159 26.3528i 1.96350 0.959714i
\(755\) 21.9137 11.7131i 0.797522 0.426284i
\(756\) −18.8730 + 5.74631i −0.686404 + 0.208991i
\(757\) −13.6323 + 11.1877i −0.495475 + 0.406626i −0.848669 0.528924i \(-0.822596\pi\)
0.353194 + 0.935550i \(0.385096\pi\)
\(758\) 12.3229 1.98998i 0.447586 0.0722794i
\(759\) 6.14607 + 16.7459i 0.223088 + 0.607837i
\(760\) 27.9852 + 11.9396i 1.01513 + 0.433095i
\(761\) 9.22035 + 1.83404i 0.334237 + 0.0664840i 0.359356 0.933201i \(-0.382996\pi\)
−0.0251187 + 0.999684i \(0.507996\pi\)
\(762\) 0.369042 0.469431i 0.0133690 0.0170057i
\(763\) 13.2277 + 7.07036i 0.478875 + 0.255964i
\(764\) 11.8584 + 3.26708i 0.429021 + 0.118199i
\(765\) −30.8942 + 13.3904i −1.11698 + 0.484131i
\(766\) −33.1210 + 25.2299i −1.19671 + 0.911594i
\(767\) 4.25587 0.153671
\(768\) −20.2956 + 18.8703i −0.732355 + 0.680923i
\(769\) 24.0753 0.868176 0.434088 0.900870i \(-0.357071\pi\)
0.434088 + 0.900870i \(0.357071\pi\)
\(770\) −7.44981 + 5.67490i −0.268473 + 0.204509i
\(771\) 47.4054 12.2856i 1.70726 0.442455i
\(772\) 36.5252 + 10.0630i 1.31457 + 0.362176i
\(773\) 44.7717 + 23.9310i 1.61033 + 0.860738i 0.997511 + 0.0705118i \(0.0224633\pi\)
0.612816 + </