Properties

Label 648.2.bb.b.155.87
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.87
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.87

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24468 + 0.671398i) q^{2} +(-1.72723 + 0.129091i) q^{3} +(1.09845 + 1.67135i) q^{4} +(-1.37235 + 0.902608i) q^{5} +(-2.23652 - 0.998985i) q^{6} +(1.37945 + 1.30144i) q^{7} +(0.245073 + 2.81779i) q^{8} +(2.96667 - 0.445942i) q^{9} +O(q^{10})\) \(q+(1.24468 + 0.671398i) q^{2} +(-1.72723 + 0.129091i) q^{3} +(1.09845 + 1.67135i) q^{4} +(-1.37235 + 0.902608i) q^{5} +(-2.23652 - 0.998985i) q^{6} +(1.37945 + 1.30144i) q^{7} +(0.245073 + 2.81779i) q^{8} +(2.96667 - 0.445942i) q^{9} +(-2.31414 + 0.202064i) q^{10} +(0.176324 + 0.351090i) q^{11} +(-2.11303 - 2.74501i) q^{12} +(-4.46566 + 1.92630i) q^{13} +(0.843182 + 2.54603i) q^{14} +(2.25385 - 1.73617i) q^{15} +(-1.58682 + 3.67178i) q^{16} +(-2.12016 - 2.52671i) q^{17} +(3.99196 + 1.43676i) q^{18} +(-1.51407 - 1.27046i) q^{19} +(-3.01603 - 1.30221i) q^{20} +(-2.55063 - 2.06982i) q^{21} +(-0.0162545 + 0.555377i) q^{22} +(0.553115 + 0.586268i) q^{23} +(-0.787051 - 4.83534i) q^{24} +(-0.911759 + 2.11370i) q^{25} +(-6.85162 - 0.600616i) q^{26} +(-5.06657 + 1.15322i) q^{27} +(-0.659912 + 3.73510i) q^{28} +(1.75252 - 0.204840i) q^{29} +(3.97098 - 0.647747i) q^{30} +(2.11599 + 8.92807i) q^{31} +(-4.44031 + 3.50480i) q^{32} +(-0.349875 - 0.583652i) q^{33} +(-0.942490 - 4.56841i) q^{34} +(-3.06777 - 0.540931i) q^{35} +(4.00406 + 4.46850i) q^{36} +(-3.20621 + 0.565341i) q^{37} +(-1.03155 - 2.59786i) q^{38} +(7.46457 - 3.90364i) q^{39} +(-2.87968 - 3.64578i) q^{40} +(-8.88519 - 6.61478i) q^{41} +(-1.78504 - 4.28874i) q^{42} +(-0.499838 + 8.58188i) q^{43} +(-0.393111 + 0.680353i) q^{44} +(-3.66880 + 3.28973i) q^{45} +(0.294831 + 1.10108i) q^{46} +(3.79499 + 0.899430i) q^{47} +(2.26682 - 6.54687i) q^{48} +(-0.197889 - 3.39763i) q^{49} +(-2.55398 + 2.01872i) q^{50} +(3.98819 + 4.09052i) q^{51} +(-8.12481 - 5.34774i) q^{52} +(1.14382 + 1.98115i) q^{53} +(-7.08051 - 1.96630i) q^{54} +(-0.558874 - 0.322666i) q^{55} +(-3.32912 + 4.20594i) q^{56} +(2.77916 + 1.99892i) q^{57} +(2.31886 + 0.921680i) q^{58} +(2.78857 - 5.55250i) q^{59} +(5.37749 + 1.85987i) q^{60} +(6.81283 - 2.03963i) q^{61} +(-3.36056 + 12.5333i) q^{62} +(4.67273 + 3.24579i) q^{63} +(-7.87988 + 1.38113i) q^{64} +(4.38975 - 6.67429i) q^{65} +(-0.0436190 - 0.961365i) q^{66} +(8.05630 + 0.941646i) q^{67} +(1.89413 - 6.31899i) q^{68} +(-1.03104 - 0.941219i) q^{69} +(-3.45521 - 2.73298i) q^{70} +(12.9767 + 4.72312i) q^{71} +(1.98362 + 8.25017i) q^{72} +(-2.08493 + 0.758852i) q^{73} +(-4.37027 - 1.44898i) q^{74} +(1.30196 - 3.76855i) q^{75} +(0.460249 - 3.92608i) q^{76} +(-0.213693 + 0.713784i) q^{77} +(11.9119 + 0.152918i) q^{78} +(6.45050 - 4.80222i) q^{79} +(-1.13651 - 6.47125i) q^{80} +(8.60227 - 2.64593i) q^{81} +(-6.61805 - 14.1988i) q^{82} +(10.1434 - 7.55148i) q^{83} +(0.657652 - 6.53658i) q^{84} +(5.19023 + 1.55385i) q^{85} +(-6.38400 + 10.3461i) q^{86} +(-3.00057 + 0.580043i) q^{87} +(-0.946085 + 0.582886i) q^{88} +(1.18769 + 3.26316i) q^{89} +(-6.77519 + 1.63143i) q^{90} +(-8.66709 - 3.15456i) q^{91} +(-0.372290 + 1.56843i) q^{92} +(-4.80735 - 15.1477i) q^{93} +(4.11967 + 3.66745i) q^{94} +(3.22456 + 0.376897i) q^{95} +(7.21702 - 6.62681i) q^{96} +(13.1090 + 8.62192i) q^{97} +(2.03485 - 4.36181i) q^{98} +(0.679660 + 0.962937i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24468 + 0.671398i 0.880121 + 0.474750i
\(3\) −1.72723 + 0.129091i −0.997219 + 0.0745309i
\(4\) 1.09845 + 1.67135i 0.549224 + 0.835675i
\(5\) −1.37235 + 0.902608i −0.613733 + 0.403658i −0.817968 0.575263i \(-0.804900\pi\)
0.204235 + 0.978922i \(0.434529\pi\)
\(6\) −2.23652 0.998985i −0.913056 0.407834i
\(7\) 1.37945 + 1.30144i 0.521381 + 0.491898i 0.901344 0.433104i \(-0.142582\pi\)
−0.379963 + 0.925002i \(0.624063\pi\)
\(8\) 0.245073 + 2.81779i 0.0866464 + 0.996239i
\(9\) 2.96667 0.445942i 0.988890 0.148647i
\(10\) −2.31414 + 0.202064i −0.731796 + 0.0638982i
\(11\) 0.176324 + 0.351090i 0.0531636 + 0.105858i 0.918646 0.395083i \(-0.129284\pi\)
−0.865482 + 0.500940i \(0.832988\pi\)
\(12\) −2.11303 2.74501i −0.609980 0.792417i
\(13\) −4.46566 + 1.92630i −1.23855 + 0.534259i −0.911715 0.410823i \(-0.865242\pi\)
−0.326836 + 0.945081i \(0.605982\pi\)
\(14\) 0.843182 + 2.54603i 0.225350 + 0.680456i
\(15\) 2.25385 1.73617i 0.581941 0.448278i
\(16\) −1.58682 + 3.67178i −0.396706 + 0.917946i
\(17\) −2.12016 2.52671i −0.514215 0.612817i 0.444988 0.895537i \(-0.353208\pi\)
−0.959203 + 0.282719i \(0.908763\pi\)
\(18\) 3.99196 + 1.43676i 0.940913 + 0.338648i
\(19\) −1.51407 1.27046i −0.347352 0.291463i 0.452374 0.891829i \(-0.350577\pi\)
−0.799726 + 0.600365i \(0.795022\pi\)
\(20\) −3.01603 1.30221i −0.674404 0.291182i
\(21\) −2.55063 2.06982i −0.556593 0.451671i
\(22\) −0.0162545 + 0.555377i −0.00346548 + 0.118407i
\(23\) 0.553115 + 0.586268i 0.115333 + 0.122245i 0.782467 0.622692i \(-0.213961\pi\)
−0.667135 + 0.744937i \(0.732479\pi\)
\(24\) −0.787051 4.83534i −0.160656 0.987010i
\(25\) −0.911759 + 2.11370i −0.182352 + 0.422739i
\(26\) −6.85162 0.600616i −1.34371 0.117790i
\(27\) −5.06657 + 1.15322i −0.975061 + 0.221937i
\(28\) −0.659912 + 3.73510i −0.124712 + 0.705868i
\(29\) 1.75252 0.204840i 0.325435 0.0380379i 0.0481931 0.998838i \(-0.484654\pi\)
0.277242 + 0.960800i \(0.410580\pi\)
\(30\) 3.97098 0.647747i 0.724998 0.118262i
\(31\) 2.11599 + 8.92807i 0.380043 + 1.60353i 0.741374 + 0.671092i \(0.234174\pi\)
−0.361331 + 0.932438i \(0.617677\pi\)
\(32\) −4.44031 + 3.50480i −0.784944 + 0.619567i
\(33\) −0.349875 0.583652i −0.0609054 0.101601i
\(34\) −0.942490 4.56841i −0.161636 0.783477i
\(35\) −3.06777 0.540931i −0.518548 0.0914340i
\(36\) 4.00406 + 4.46850i 0.667343 + 0.744750i
\(37\) −3.20621 + 0.565341i −0.527097 + 0.0929415i −0.430863 0.902417i \(-0.641791\pi\)
−0.0962341 + 0.995359i \(0.530680\pi\)
\(38\) −1.03155 2.59786i −0.167340 0.421428i
\(39\) 7.46457 3.90364i 1.19529 0.625083i
\(40\) −2.87968 3.64578i −0.455318 0.576449i
\(41\) −8.88519 6.61478i −1.38763 1.03305i −0.993480 0.114010i \(-0.963630\pi\)
−0.394153 0.919045i \(-0.628962\pi\)
\(42\) −1.78504 4.28874i −0.275438 0.661768i
\(43\) −0.499838 + 8.58188i −0.0762245 + 1.30872i 0.715830 + 0.698275i \(0.246049\pi\)
−0.792055 + 0.610450i \(0.790989\pi\)
\(44\) −0.393111 + 0.680353i −0.0592637 + 0.102567i
\(45\) −3.66880 + 3.28973i −0.546912 + 0.490404i
\(46\) 0.294831 + 1.10108i 0.0434705 + 0.162345i
\(47\) 3.79499 + 0.899430i 0.553557 + 0.131195i 0.497868 0.867253i \(-0.334116\pi\)
0.0556888 + 0.998448i \(0.482265\pi\)
\(48\) 2.26682 6.54687i 0.327187 0.944960i
\(49\) −0.197889 3.39763i −0.0282699 0.485375i
\(50\) −2.55398 + 2.01872i −0.361187 + 0.285490i
\(51\) 3.98819 + 4.09052i 0.558458 + 0.572788i
\(52\) −8.12481 5.34774i −1.12671 0.741598i
\(53\) 1.14382 + 1.98115i 0.157116 + 0.272132i 0.933827 0.357724i \(-0.116447\pi\)
−0.776712 + 0.629856i \(0.783114\pi\)
\(54\) −7.08051 1.96630i −0.963536 0.267579i
\(55\) −0.558874 0.322666i −0.0753586 0.0435083i
\(56\) −3.32912 + 4.20594i −0.444872 + 0.562042i
\(57\) 2.77916 + 1.99892i 0.368109 + 0.264764i
\(58\) 2.31886 + 0.921680i 0.304481 + 0.121022i
\(59\) 2.78857 5.55250i 0.363041 0.722874i −0.635757 0.771889i \(-0.719312\pi\)
0.998798 + 0.0490152i \(0.0156083\pi\)
\(60\) 5.37749 + 1.85987i 0.694231 + 0.240108i
\(61\) 6.81283 2.03963i 0.872294 0.261148i 0.180791 0.983522i \(-0.442134\pi\)
0.691503 + 0.722374i \(0.256949\pi\)
\(62\) −3.36056 + 12.5333i −0.426792 + 1.59172i
\(63\) 4.67273 + 3.24579i 0.588708 + 0.408931i
\(64\) −7.87988 + 1.38113i −0.984985 + 0.172641i
\(65\) 4.38975 6.67429i 0.544481 0.827844i
\(66\) −0.0436190 0.961365i −0.00536913 0.118336i
\(67\) 8.05630 + 0.941646i 0.984233 + 0.115040i 0.592958 0.805233i \(-0.297960\pi\)
0.391275 + 0.920274i \(0.372034\pi\)
\(68\) 1.89413 6.31899i 0.229697 0.766290i
\(69\) −1.03104 0.941219i −0.124123 0.113309i
\(70\) −3.45521 2.73298i −0.412976 0.326654i
\(71\) 12.9767 + 4.72312i 1.54005 + 0.560531i 0.966056 0.258332i \(-0.0831729\pi\)
0.573989 + 0.818863i \(0.305395\pi\)
\(72\) 1.98362 + 8.25017i 0.233772 + 0.972291i
\(73\) −2.08493 + 0.758852i −0.244022 + 0.0888169i −0.461136 0.887329i \(-0.652558\pi\)
0.217114 + 0.976146i \(0.430336\pi\)
\(74\) −4.37027 1.44898i −0.508033 0.168440i
\(75\) 1.30196 3.76855i 0.150338 0.435154i
\(76\) 0.460249 3.92608i 0.0527942 0.450352i
\(77\) −0.213693 + 0.713784i −0.0243526 + 0.0813432i
\(78\) 11.9119 + 0.152918i 1.34876 + 0.0173146i
\(79\) 6.45050 4.80222i 0.725737 0.540292i −0.169691 0.985497i \(-0.554277\pi\)
0.895428 + 0.445206i \(0.146869\pi\)
\(80\) −1.13651 6.47125i −0.127065 0.723507i
\(81\) 8.60227 2.64593i 0.955808 0.293992i
\(82\) −6.61805 14.1988i −0.730841 1.56799i
\(83\) 10.1434 7.55148i 1.11338 0.828883i 0.126765 0.991933i \(-0.459540\pi\)
0.986618 + 0.163050i \(0.0521331\pi\)
\(84\) 0.657652 6.53658i 0.0717558 0.713199i
\(85\) 5.19023 + 1.55385i 0.562959 + 0.168539i
\(86\) −6.38400 + 10.3461i −0.688404 + 1.11565i
\(87\) −3.00057 + 0.580043i −0.321695 + 0.0621871i
\(88\) −0.946085 + 0.582886i −0.100853 + 0.0621359i
\(89\) 1.18769 + 3.26316i 0.125895 + 0.345894i 0.986588 0.163231i \(-0.0521915\pi\)
−0.860693 + 0.509125i \(0.829969\pi\)
\(90\) −6.77519 + 1.63143i −0.714168 + 0.171968i
\(91\) −8.66709 3.15456i −0.908558 0.330688i
\(92\) −0.372290 + 1.56843i −0.0388140 + 0.163521i
\(93\) −4.80735 15.1477i −0.498499 1.57074i
\(94\) 4.11967 + 3.66745i 0.424912 + 0.378269i
\(95\) 3.22456 + 0.376897i 0.330833 + 0.0386688i
\(96\) 7.21702 6.62681i 0.736584 0.676346i
\(97\) 13.1090 + 8.62192i 1.33102 + 0.875423i 0.997726 0.0674009i \(-0.0214706\pi\)
0.333290 + 0.942824i \(0.391841\pi\)
\(98\) 2.03485 4.36181i 0.205551 0.440610i
\(99\) 0.679660 + 0.962937i 0.0683084 + 0.0967788i
\(100\) −4.53425 + 0.797917i −0.453425 + 0.0797917i
\(101\) 3.36678 + 11.2458i 0.335007 + 1.11900i 0.945130 + 0.326694i \(0.105935\pi\)
−0.610123 + 0.792307i \(0.708880\pi\)
\(102\) 2.21764 + 7.76905i 0.219579 + 0.769251i
\(103\) −7.15801 + 14.2528i −0.705299 + 1.40437i 0.200087 + 0.979778i \(0.435877\pi\)
−0.905387 + 0.424588i \(0.860419\pi\)
\(104\) −6.52231 12.1112i −0.639565 1.18760i
\(105\) 5.36858 + 0.538291i 0.523920 + 0.0525318i
\(106\) 0.0935440 + 3.23386i 0.00908580 + 0.314100i
\(107\) 4.66691 + 2.69444i 0.451168 + 0.260482i 0.708323 0.705888i \(-0.249452\pi\)
−0.257156 + 0.966370i \(0.582785\pi\)
\(108\) −7.49279 7.20126i −0.720994 0.692941i
\(109\) −7.82074 + 4.51530i −0.749091 + 0.432488i −0.825365 0.564599i \(-0.809031\pi\)
0.0762745 + 0.997087i \(0.475697\pi\)
\(110\) −0.478981 0.776843i −0.0456690 0.0740690i
\(111\) 5.46489 1.39037i 0.518704 0.131968i
\(112\) −6.96754 + 2.99987i −0.658371 + 0.283461i
\(113\) −1.51322 + 0.0881351i −0.142352 + 0.00829105i −0.129173 0.991622i \(-0.541232\pi\)
−0.0131791 + 0.999913i \(0.504195\pi\)
\(114\) 2.11709 + 4.35394i 0.198284 + 0.407784i
\(115\) −1.28824 0.305318i −0.120129 0.0284710i
\(116\) 2.26741 + 2.70407i 0.210524 + 0.251067i
\(117\) −12.3891 + 7.70611i −1.14537 + 0.712430i
\(118\) 7.19881 5.03884i 0.662705 0.463862i
\(119\) 0.363714 6.24472i 0.0333416 0.572453i
\(120\) 5.44453 + 5.92538i 0.497015 + 0.540911i
\(121\) 6.47657 8.69954i 0.588779 0.790868i
\(122\) 9.84919 + 2.03544i 0.891703 + 0.184280i
\(123\) 16.2007 + 10.2783i 1.46077 + 0.926760i
\(124\) −12.5976 + 13.3436i −1.13130 + 1.19829i
\(125\) −2.08273 11.8118i −0.186285 1.05648i
\(126\) 3.63682 + 7.17723i 0.323994 + 0.639398i
\(127\) −4.66243 0.822112i −0.413723 0.0729506i −0.0370877 0.999312i \(-0.511808\pi\)
−0.376636 + 0.926361i \(0.622919\pi\)
\(128\) −10.7352 3.57148i −0.948867 0.315677i
\(129\) −0.244510 14.8874i −0.0215279 1.31077i
\(130\) 9.94493 5.36007i 0.872228 0.470110i
\(131\) 0.239150 + 1.00905i 0.0208947 + 0.0881615i 0.982493 0.186298i \(-0.0596491\pi\)
−0.961599 + 0.274460i \(0.911501\pi\)
\(132\) 0.591167 1.22588i 0.0514545 0.106699i
\(133\) −0.435157 3.72300i −0.0377329 0.322825i
\(134\) 9.39528 + 6.58103i 0.811629 + 0.568515i
\(135\) 5.91219 6.15574i 0.508840 0.529802i
\(136\) 6.60014 6.59340i 0.565958 0.565379i
\(137\) −15.0380 6.48676i −1.28478 0.554201i −0.359382 0.933191i \(-0.617012\pi\)
−0.925401 + 0.378990i \(0.876272\pi\)
\(138\) −0.651382 1.86375i −0.0554493 0.158653i
\(139\) 6.99966 + 7.41920i 0.593703 + 0.629288i 0.952650 0.304070i \(-0.0983455\pi\)
−0.358947 + 0.933358i \(0.616864\pi\)
\(140\) −2.46570 5.72150i −0.208390 0.483555i
\(141\) −6.67095 1.06362i −0.561795 0.0895734i
\(142\) 12.9807 + 14.5913i 1.08931 + 1.22447i
\(143\) −1.46371 1.22819i −0.122401 0.102707i
\(144\) −3.07018 + 11.6006i −0.255848 + 0.966717i
\(145\) −2.22018 + 1.86295i −0.184376 + 0.154710i
\(146\) −3.10456 0.455291i −0.256935 0.0376802i
\(147\) 0.780405 + 5.84295i 0.0643667 + 0.481918i
\(148\) −4.46674 4.73770i −0.367163 0.389436i
\(149\) −0.515874 1.19593i −0.0422621 0.0979745i 0.895777 0.444503i \(-0.146620\pi\)
−0.938039 + 0.346528i \(0.887360\pi\)
\(150\) 4.15072 3.81649i 0.338905 0.311615i
\(151\) 4.87627 + 9.70946i 0.396825 + 0.790144i 0.999972 0.00748604i \(-0.00238290\pi\)
−0.603147 + 0.797630i \(0.706087\pi\)
\(152\) 3.20882 4.57769i 0.260270 0.371300i
\(153\) −7.41659 6.55045i −0.599595 0.529572i
\(154\) −0.745212 + 0.744958i −0.0600509 + 0.0600305i
\(155\) −10.9624 10.3425i −0.880523 0.830731i
\(156\) 14.7238 + 8.18795i 1.17885 + 0.655561i
\(157\) 1.17555 + 1.78733i 0.0938189 + 0.142645i 0.879347 0.476181i \(-0.157979\pi\)
−0.785529 + 0.618825i \(0.787609\pi\)
\(158\) 11.2530 1.64636i 0.895240 0.130978i
\(159\) −2.23139 3.27426i −0.176961 0.259665i
\(160\) 2.93020 8.81767i 0.231652 0.697098i
\(161\) 1.52857i 0.120468i
\(162\) 12.4835 + 2.48223i 0.980799 + 0.195022i
\(163\) 1.74990 0.137063 0.0685315 0.997649i \(-0.478169\pi\)
0.0685315 + 0.997649i \(0.478169\pi\)
\(164\) 1.29569 22.1162i 0.101176 1.72699i
\(165\) 1.00696 + 0.485174i 0.0783917 + 0.0377707i
\(166\) 17.6953 2.58890i 1.37342 0.200938i
\(167\) 4.19376 2.75828i 0.324523 0.213442i −0.376785 0.926301i \(-0.622970\pi\)
0.701308 + 0.712859i \(0.252600\pi\)
\(168\) 5.20722 7.69439i 0.401745 0.593635i
\(169\) 7.31035 7.74851i 0.562334 0.596040i
\(170\) 5.41691 + 5.41876i 0.415458 + 0.415600i
\(171\) −5.05831 3.09384i −0.386818 0.236592i
\(172\) −14.8924 + 8.59135i −1.13553 + 0.655084i
\(173\) 5.44314 2.73365i 0.413835 0.207836i −0.229685 0.973265i \(-0.573770\pi\)
0.643520 + 0.765429i \(0.277473\pi\)
\(174\) −4.12419 1.29261i −0.312654 0.0979927i
\(175\) −4.00857 + 1.72913i −0.303019 + 0.130710i
\(176\) −1.56892 + 0.0903062i −0.118262 + 0.00680708i
\(177\) −4.09973 + 9.95045i −0.308155 + 0.747921i
\(178\) −0.712584 + 4.85900i −0.0534104 + 0.364197i
\(179\) −11.6603 13.8962i −0.871530 1.03865i −0.998905 0.0467948i \(-0.985099\pi\)
0.127374 0.991855i \(-0.459345\pi\)
\(180\) −9.52827 2.51825i −0.710195 0.187699i
\(181\) −0.316525 + 0.377220i −0.0235271 + 0.0280385i −0.777680 0.628661i \(-0.783603\pi\)
0.754153 + 0.656699i \(0.228048\pi\)
\(182\) −8.66977 9.74549i −0.642646 0.722384i
\(183\) −11.5041 + 4.40239i −0.850404 + 0.325434i
\(184\) −1.51643 + 1.70224i −0.111792 + 0.125491i
\(185\) 3.88975 3.66979i 0.285980 0.269809i
\(186\) 4.18654 22.0817i 0.306972 1.61911i
\(187\) 0.513267 1.18989i 0.0375338 0.0870131i
\(188\) 2.66534 + 7.33074i 0.194390 + 0.534649i
\(189\) −8.48990 5.00303i −0.617549 0.363917i
\(190\) 3.76049 + 2.63408i 0.272815 + 0.191096i
\(191\) −9.32715 + 1.09019i −0.674889 + 0.0788832i −0.446632 0.894718i \(-0.647377\pi\)
−0.228257 + 0.973601i \(0.573303\pi\)
\(192\) 13.4321 3.40276i 0.969378 0.245573i
\(193\) 12.4634 2.95387i 0.897134 0.212625i 0.243917 0.969796i \(-0.421567\pi\)
0.653216 + 0.757171i \(0.273419\pi\)
\(194\) 10.5277 + 19.5329i 0.755847 + 1.40238i
\(195\) −6.72053 + 12.0947i −0.481267 + 0.866122i
\(196\) 5.46125 4.06286i 0.390089 0.290204i
\(197\) −2.93839 + 16.6644i −0.209352 + 1.18729i 0.681091 + 0.732198i \(0.261506\pi\)
−0.890443 + 0.455094i \(0.849605\pi\)
\(198\) 0.199444 + 1.65487i 0.0141739 + 0.117606i
\(199\) 2.04331 0.360291i 0.144846 0.0255403i −0.100755 0.994911i \(-0.532126\pi\)
0.245601 + 0.969371i \(0.421015\pi\)
\(200\) −6.17940 2.05114i −0.436949 0.145037i
\(201\) −14.0367 0.586444i −0.990070 0.0413646i
\(202\) −3.35987 + 16.2579i −0.236400 + 1.14390i
\(203\) 2.68410 + 1.99824i 0.188387 + 0.140249i
\(204\) −2.45588 + 11.1589i −0.171946 + 0.781279i
\(205\) 18.1641 + 1.05794i 1.26864 + 0.0738897i
\(206\) −18.4787 + 12.9342i −1.28747 + 0.901170i
\(207\) 1.90235 + 1.49261i 0.132223 + 0.103743i
\(208\) 0.0132603 19.4536i 0.000919436 1.34887i
\(209\) 0.179077 0.755587i 0.0123870 0.0522651i
\(210\) 6.32075 + 4.27446i 0.436173 + 0.294966i
\(211\) 0.962278 + 16.5217i 0.0662460 + 1.13740i 0.853611 + 0.520912i \(0.174408\pi\)
−0.787365 + 0.616487i \(0.788555\pi\)
\(212\) −2.05477 + 4.08792i −0.141122 + 0.280759i
\(213\) −23.0234 6.48275i −1.57754 0.444191i
\(214\) 3.99976 + 6.48707i 0.273418 + 0.443447i
\(215\) −7.06012 12.2285i −0.481496 0.833976i
\(216\) −4.49120 13.9939i −0.305588 0.952164i
\(217\) −8.70046 + 15.0696i −0.590625 + 1.02299i
\(218\) −12.7659 + 0.369272i −0.864614 + 0.0250102i
\(219\) 3.50320 1.57986i 0.236724 0.106757i
\(220\) −0.0746063 1.28851i −0.00502996 0.0868711i
\(221\) 14.3351 + 7.19936i 0.964284 + 0.484282i
\(222\) 7.73552 + 1.93855i 0.519174 + 0.130107i
\(223\) −9.80938 + 2.93673i −0.656884 + 0.196658i −0.597863 0.801598i \(-0.703983\pi\)
−0.0590215 + 0.998257i \(0.518798\pi\)
\(224\) −10.6865 0.944120i −0.714019 0.0630816i
\(225\) −1.76230 + 6.67723i −0.117487 + 0.445149i
\(226\) −1.94265 0.906274i −0.129223 0.0602845i
\(227\) −6.44606 + 9.80076i −0.427840 + 0.650499i −0.983500 0.180911i \(-0.942095\pi\)
0.555659 + 0.831410i \(0.312466\pi\)
\(228\) −0.288135 + 6.84067i −0.0190822 + 0.453034i
\(229\) 2.67998 22.9287i 0.177098 1.51517i −0.553780 0.832663i \(-0.686815\pi\)
0.730878 0.682508i \(-0.239111\pi\)
\(230\) −1.39845 1.24494i −0.0922111 0.0820891i
\(231\) 0.276954 1.26046i 0.0182222 0.0829320i
\(232\) 1.00669 + 4.88804i 0.0660926 + 0.320915i
\(233\) −8.13748 + 22.3576i −0.533104 + 1.46469i 0.322253 + 0.946654i \(0.395560\pi\)
−0.855357 + 0.518038i \(0.826662\pi\)
\(234\) −20.5943 + 1.27360i −1.34629 + 0.0832575i
\(235\) −6.01989 + 2.19106i −0.392694 + 0.142929i
\(236\) 12.3433 1.43846i 0.803479 0.0936356i
\(237\) −10.5216 + 9.12725i −0.683451 + 0.592879i
\(238\) 4.64540 7.52847i 0.301117 0.487998i
\(239\) 6.92444 23.1293i 0.447905 1.49611i −0.374512 0.927222i \(-0.622190\pi\)
0.822417 0.568885i \(-0.192625\pi\)
\(240\) 2.79840 + 11.0306i 0.180636 + 0.712025i
\(241\) 10.2670 + 13.7910i 0.661359 + 0.888359i 0.998591 0.0530626i \(-0.0168983\pi\)
−0.337233 + 0.941421i \(0.609491\pi\)
\(242\) 13.9021 6.47978i 0.893661 0.416536i
\(243\) −14.5166 + 5.68061i −0.931238 + 0.364411i
\(244\) 10.8925 + 9.14620i 0.697319 + 0.585525i
\(245\) 3.33830 + 4.48411i 0.213276 + 0.286479i
\(246\) 13.2639 + 23.6703i 0.845672 + 1.50916i
\(247\) 9.20861 + 2.75688i 0.585930 + 0.175416i
\(248\) −24.6389 + 8.15045i −1.56457 + 0.517554i
\(249\) −16.5452 + 14.3526i −1.04851 + 0.909559i
\(250\) 5.33807 16.1002i 0.337609 1.01827i
\(251\) 4.08338 + 11.2190i 0.257741 + 0.708136i 0.999306 + 0.0372555i \(0.0118615\pi\)
−0.741565 + 0.670881i \(0.765916\pi\)
\(252\) −0.292103 + 11.3751i −0.0184008 + 0.716564i
\(253\) −0.108305 + 0.297566i −0.00680909 + 0.0187078i
\(254\) −5.25126 4.15361i −0.329493 0.260621i
\(255\) −9.16532 2.01385i −0.573955 0.126112i
\(256\) −10.9640 11.6529i −0.685249 0.728308i
\(257\) 1.11133 9.50806i 0.0693231 0.593097i −0.913274 0.407346i \(-0.866454\pi\)
0.982597 0.185751i \(-0.0594717\pi\)
\(258\) 9.69107 18.6942i 0.603339 1.16385i
\(259\) −5.15855 3.39283i −0.320537 0.210820i
\(260\) 15.9770 + 0.00544524i 0.990851 + 0.000337700i
\(261\) 5.10781 1.38922i 0.316165 0.0859904i
\(262\) −0.379812 + 1.41651i −0.0234649 + 0.0875125i
\(263\) −6.37472 21.2930i −0.393082 1.31298i −0.894224 0.447620i \(-0.852272\pi\)
0.501142 0.865365i \(-0.332913\pi\)
\(264\) 1.55886 1.12891i 0.0959414 0.0694797i
\(265\) −3.35792 1.68641i −0.206275 0.103595i
\(266\) 1.95799 4.92610i 0.120052 0.302039i
\(267\) −2.47267 5.48291i −0.151325 0.335549i
\(268\) 7.27561 + 14.4992i 0.444428 + 0.885682i
\(269\) 6.27576 10.8699i 0.382640 0.662751i −0.608799 0.793324i \(-0.708348\pi\)
0.991439 + 0.130573i \(0.0416818\pi\)
\(270\) 11.4917 3.69248i 0.699364 0.224717i
\(271\) −18.6459 + 10.7652i −1.13266 + 0.653941i −0.944602 0.328217i \(-0.893552\pi\)
−0.188057 + 0.982158i \(0.560219\pi\)
\(272\) 12.6419 3.77533i 0.766525 0.228913i
\(273\) 15.3773 + 4.32982i 0.930678 + 0.262053i
\(274\) −14.3623 18.1704i −0.867656 1.09771i
\(275\) −0.902862 + 0.0525857i −0.0544446 + 0.00317104i
\(276\) 0.440561 2.75711i 0.0265187 0.165959i
\(277\) 2.55446 10.7781i 0.153483 0.647594i −0.840849 0.541270i \(-0.817944\pi\)
0.994332 0.106324i \(-0.0339081\pi\)
\(278\) 3.73108 + 13.9341i 0.223775 + 0.835710i
\(279\) 10.2589 + 25.5430i 0.614182 + 1.52922i
\(280\) 0.772401 8.77690i 0.0461598 0.524520i
\(281\) 19.3364 + 1.12622i 1.15351 + 0.0671845i 0.624216 0.781252i \(-0.285418\pi\)
0.529298 + 0.848436i \(0.322456\pi\)
\(282\) −7.58907 5.80274i −0.451923 0.345548i
\(283\) 15.9678 21.4485i 0.949190 1.27498i −0.0122374 0.999925i \(-0.503895\pi\)
0.961428 0.275058i \(-0.0886972\pi\)
\(284\) 6.36020 + 26.8766i 0.377409 + 1.59483i
\(285\) −5.61822 0.234726i −0.332795 0.0139040i
\(286\) −0.997234 2.51144i −0.0589677 0.148504i
\(287\) −3.64790 20.6883i −0.215329 1.22119i
\(288\) −11.6100 + 12.3777i −0.684126 + 0.729363i
\(289\) 1.06284 6.02767i 0.0625200 0.354569i
\(290\) −4.01419 + 0.828151i −0.235722 + 0.0486307i
\(291\) −23.7553 13.1998i −1.39256 0.773787i
\(292\) −3.55849 2.65109i −0.208245 0.155143i
\(293\) −17.4442 + 4.13434i −1.01910 + 0.241531i −0.706017 0.708195i \(-0.749510\pi\)
−0.313082 + 0.949726i \(0.601362\pi\)
\(294\) −2.95159 + 7.79655i −0.172140 + 0.454704i
\(295\) 1.18484 + 10.1370i 0.0689840 + 0.590196i
\(296\) −2.37877 8.89587i −0.138263 0.517062i
\(297\) −1.29824 1.57548i −0.0753315 0.0914186i
\(298\) 0.160849 1.83491i 0.00931771 0.106293i
\(299\) −3.59935 1.55261i −0.208156 0.0897897i
\(300\) 7.72870 1.96352i 0.446217 0.113364i
\(301\) −11.8583 + 11.1877i −0.683501 + 0.644850i
\(302\) −0.449523 + 15.3591i −0.0258671 + 0.883815i
\(303\) −7.26695 18.9895i −0.417475 1.09092i
\(304\) 7.06741 3.54336i 0.405344 0.203225i
\(305\) −7.50859 + 8.94839i −0.429941 + 0.512384i
\(306\) −4.83330 13.1327i −0.276302 0.750746i
\(307\) −8.88661 + 7.45675i −0.507186 + 0.425579i −0.860138 0.510062i \(-0.829622\pi\)
0.352952 + 0.935642i \(0.385178\pi\)
\(308\) −1.42771 + 0.426899i −0.0813515 + 0.0243248i
\(309\) 10.5236 25.5419i 0.598669 1.45303i
\(310\) −6.70075 20.2333i −0.380577 1.14917i
\(311\) −9.39538 21.7809i −0.532763 1.23508i −0.945913 0.324421i \(-0.894831\pi\)
0.413150 0.910663i \(-0.364429\pi\)
\(312\) 12.8290 + 20.0769i 0.726300 + 1.13663i
\(313\) −23.1703 + 11.6366i −1.30967 + 0.657739i −0.960227 0.279221i \(-0.909924\pi\)
−0.349438 + 0.936959i \(0.613628\pi\)
\(314\) 0.263166 + 3.01391i 0.0148513 + 0.170085i
\(315\) −9.34229 0.236716i −0.526378 0.0133374i
\(316\) 15.1117 + 5.50605i 0.850101 + 0.309740i
\(317\) 4.93081 5.22635i 0.276942 0.293541i −0.573941 0.818897i \(-0.694586\pi\)
0.850883 + 0.525356i \(0.176068\pi\)
\(318\) −0.579035 5.57355i −0.0324707 0.312549i
\(319\) 0.380929 + 0.579174i 0.0213279 + 0.0324275i
\(320\) 9.56732 9.00783i 0.534830 0.503553i
\(321\) −8.40868 4.05148i −0.469327 0.226131i
\(322\) −1.02628 + 1.90258i −0.0571924 + 0.106027i
\(323\) 6.51920i 0.362738i
\(324\) 13.8714 + 11.4710i 0.770634 + 0.637278i
\(325\) 11.1954i 0.621007i
\(326\) 2.17807 + 1.17488i 0.120632 + 0.0650707i
\(327\) 12.9254 8.80857i 0.714774 0.487115i
\(328\) 16.4615 26.6577i 0.908936 1.47192i
\(329\) 4.06443 + 6.17967i 0.224079 + 0.340696i
\(330\) 0.927596 + 1.27996i 0.0510625 + 0.0704593i
\(331\) 23.4095 24.8126i 1.28670 1.36382i 0.390234 0.920716i \(-0.372394\pi\)
0.896468 0.443108i \(-0.146124\pi\)
\(332\) 23.7632 + 8.65826i 1.30417 + 0.475184i
\(333\) −9.25965 + 3.10696i −0.507426 + 0.170261i
\(334\) 7.07179 0.617487i 0.386951 0.0337874i
\(335\) −11.9060 + 5.97941i −0.650493 + 0.326690i
\(336\) 11.6473 6.08093i 0.635413 0.331742i
\(337\) 12.4757 + 28.9220i 0.679596 + 1.57548i 0.811589 + 0.584229i \(0.198603\pi\)
−0.131993 + 0.991251i \(0.542138\pi\)
\(338\) 14.3014 4.73625i 0.777892 0.257618i
\(339\) 2.60231 0.347574i 0.141338 0.0188776i
\(340\) 3.10417 + 10.3815i 0.168347 + 0.563017i
\(341\) −2.76145 + 2.31714i −0.149541 + 0.125480i
\(342\) −4.21876 7.24698i −0.228125 0.391872i
\(343\) 12.6820 15.1139i 0.684766 0.816072i
\(344\) −24.3044 + 0.694751i −1.31041 + 0.0374585i
\(345\) 2.26450 + 0.361055i 0.121917 + 0.0194385i
\(346\) 8.61033 + 0.252004i 0.462894 + 0.0135478i
\(347\) 17.1427 16.1733i 0.920269 0.868229i −0.0713467 0.997452i \(-0.522730\pi\)
0.991616 + 0.129223i \(0.0412482\pi\)
\(348\) −4.26543 4.37786i −0.228651 0.234678i
\(349\) 12.0705 + 5.20669i 0.646117 + 0.278708i 0.693814 0.720154i \(-0.255929\pi\)
−0.0476973 + 0.998862i \(0.515188\pi\)
\(350\) −6.15031 0.539139i −0.328748 0.0288182i
\(351\) 20.4041 14.9096i 1.08909 0.795815i
\(352\) −2.01343 0.940968i −0.107316 0.0501538i
\(353\) −2.56093 21.9101i −0.136304 1.16616i −0.872230 0.489096i \(-0.837327\pi\)
0.735926 0.677062i \(-0.236747\pi\)
\(354\) −11.7836 + 9.63255i −0.626289 + 0.511964i
\(355\) −22.0716 + 5.23107i −1.17144 + 0.277636i
\(356\) −4.14926 + 5.56946i −0.219910 + 0.295181i
\(357\) 0.177921 + 10.8330i 0.00941659 + 0.573345i
\(358\) −5.18343 25.1250i −0.273953 1.32790i
\(359\) −4.31748 + 24.4856i −0.227868 + 1.29230i 0.629258 + 0.777196i \(0.283359\pi\)
−0.857126 + 0.515106i \(0.827752\pi\)
\(360\) −10.1689 9.53167i −0.535947 0.502363i
\(361\) −2.62096 14.8642i −0.137945 0.782327i
\(362\) −0.647237 + 0.257003i −0.0340180 + 0.0135078i
\(363\) −10.0635 + 15.8622i −0.528197 + 0.832550i
\(364\) −4.24797 17.9509i −0.222654 0.940881i
\(365\) 2.17630 2.92328i 0.113913 0.153012i
\(366\) −17.2746 2.24424i −0.902958 0.117308i
\(367\) −13.2676 0.772750i −0.692563 0.0403372i −0.291747 0.956496i \(-0.594236\pi\)
−0.400816 + 0.916158i \(0.631273\pi\)
\(368\) −3.03034 + 1.10062i −0.157968 + 0.0573736i
\(369\) −29.3092 15.6616i −1.52578 0.815310i
\(370\) 7.30538 1.95614i 0.379789 0.101695i
\(371\) −1.00051 + 4.22150i −0.0519441 + 0.219170i
\(372\) 20.0365 24.6737i 1.03884 1.27927i
\(373\) −16.9199 + 0.985470i −0.876077 + 0.0510257i −0.490287 0.871561i \(-0.663108\pi\)
−0.385790 + 0.922587i \(0.626071\pi\)
\(374\) 1.43774 1.13642i 0.0743437 0.0587628i
\(375\) 5.12217 + 20.1328i 0.264508 + 1.03965i
\(376\) −1.60435 + 10.9139i −0.0827382 + 0.562843i
\(377\) −7.43158 + 4.29062i −0.382746 + 0.220978i
\(378\) −7.20816 11.9273i −0.370748 0.613472i
\(379\) −2.41292 + 4.17930i −0.123943 + 0.214676i −0.921319 0.388807i \(-0.872887\pi\)
0.797376 + 0.603483i \(0.206221\pi\)
\(380\) 2.91209 + 5.80337i 0.149387 + 0.297707i
\(381\) 8.15923 + 0.818100i 0.418010 + 0.0419125i
\(382\) −12.3413 4.90530i −0.631433 0.250977i
\(383\) 16.8173 + 8.44598i 0.859326 + 0.431570i 0.823182 0.567777i \(-0.192196\pi\)
0.0361432 + 0.999347i \(0.488493\pi\)
\(384\) 19.0032 + 4.78295i 0.969755 + 0.244079i
\(385\) −0.351006 1.17244i −0.0178889 0.0597531i
\(386\) 17.4961 + 4.69127i 0.890529 + 0.238779i
\(387\) 2.34417 + 25.6825i 0.119161 + 1.30552i
\(388\) −0.0106950 + 31.3804i −0.000542957 + 1.59310i
\(389\) 23.7289 + 15.6067i 1.20310 + 0.791293i 0.982896 0.184160i \(-0.0589566\pi\)
0.220206 + 0.975453i \(0.429327\pi\)
\(390\) −16.4853 + 10.5419i −0.834765 + 0.533810i
\(391\) 0.308635 2.64054i 0.0156084 0.133538i
\(392\) 9.52530 1.39028i 0.481100 0.0702196i
\(393\) −0.543329 1.71200i −0.0274073 0.0863590i
\(394\) −14.8458 + 18.7690i −0.747923 + 0.945571i
\(395\) −4.51781 + 12.4126i −0.227316 + 0.624545i
\(396\) −0.862833 + 2.19369i −0.0433590 + 0.110237i
\(397\) 0.331078 + 0.909629i 0.0166163 + 0.0456530i 0.947723 0.319093i \(-0.103378\pi\)
−0.931107 + 0.364746i \(0.881156\pi\)
\(398\) 2.78516 + 0.923429i 0.139608 + 0.0462873i
\(399\) 1.23222 + 6.37432i 0.0616884 + 0.319115i
\(400\) −6.31423 6.70184i −0.315712 0.335092i
\(401\) −1.75306 0.524832i −0.0875437 0.0262089i 0.242732 0.970093i \(-0.421956\pi\)
−0.330276 + 0.943885i \(0.607142\pi\)
\(402\) −17.0774 10.1541i −0.851743 0.506442i
\(403\) −26.6474 35.7937i −1.32740 1.78301i
\(404\) −15.0975 + 17.9800i −0.751127 + 0.894539i
\(405\) −9.41708 + 11.3956i −0.467939 + 0.566252i
\(406\) 1.99922 + 4.28926i 0.0992198 + 0.212872i
\(407\) −0.763816 1.02598i −0.0378610 0.0508561i
\(408\) −10.5488 + 12.2404i −0.522245 + 0.605988i
\(409\) 6.77199 22.6200i 0.334853 1.11849i −0.610384 0.792105i \(-0.708985\pi\)
0.945238 0.326383i \(-0.105830\pi\)
\(410\) 21.8982 + 13.5122i 1.08147 + 0.667318i
\(411\) 26.8115 + 9.26287i 1.32251 + 0.456904i
\(412\) −31.6841 + 3.69239i −1.56096 + 0.181911i
\(413\) 11.0729 4.03022i 0.544863 0.198314i
\(414\) 1.36568 + 3.13505i 0.0671197 + 0.154079i
\(415\) −7.10426 + 19.5188i −0.348734 + 0.958139i
\(416\) 13.0776 24.2046i 0.641184 1.18673i
\(417\) −13.0478 11.9111i −0.638953 0.583289i
\(418\) 0.730194 0.820231i 0.0357150 0.0401188i
\(419\) 0.0296287 0.253490i 0.00144746 0.0123838i −0.992495 0.122283i \(-0.960979\pi\)
0.993943 + 0.109899i \(0.0350527\pi\)
\(420\) 4.99744 + 9.56407i 0.243850 + 0.466679i
\(421\) 11.1411 16.9392i 0.542983 0.825566i −0.454904 0.890541i \(-0.650326\pi\)
0.997887 + 0.0649747i \(0.0206967\pi\)
\(422\) −9.89490 + 21.2102i −0.481676 + 1.03250i
\(423\) 11.6596 + 0.975966i 0.566909 + 0.0474531i
\(424\) −5.30215 + 3.70857i −0.257495 + 0.180104i
\(425\) 7.27377 2.17762i 0.352830 0.105630i
\(426\) −24.3042 23.5268i −1.17754 1.13988i
\(427\) 12.0524 + 6.05293i 0.583256 + 0.292922i
\(428\) 0.623005 + 10.7598i 0.0301141 + 0.520092i
\(429\) 2.68671 + 1.93243i 0.129716 + 0.0932985i
\(430\) −0.577393 19.9607i −0.0278443 0.962590i
\(431\) −12.4225 + 21.5164i −0.598370 + 1.03641i 0.394692 + 0.918813i \(0.370851\pi\)
−0.993062 + 0.117593i \(0.962482\pi\)
\(432\) 3.80538 20.4333i 0.183086 0.983097i
\(433\) 3.78722 + 6.55966i 0.182002 + 0.315237i 0.942562 0.334030i \(-0.108409\pi\)
−0.760560 + 0.649268i \(0.775075\pi\)
\(434\) −20.9470 + 12.9154i −1.00549 + 0.619958i
\(435\) 3.59428 3.50436i 0.172332 0.168021i
\(436\) −16.1373 8.11136i −0.772838 0.388464i
\(437\) −0.0926281 1.59036i −0.00443100 0.0760773i
\(438\) 5.42107 + 0.385623i 0.259029 + 0.0184258i
\(439\) −5.05965 + 21.3483i −0.241484 + 1.01890i 0.708280 + 0.705932i \(0.249472\pi\)
−0.949764 + 0.312968i \(0.898677\pi\)
\(440\) 0.772240 1.65387i 0.0368151 0.0788450i
\(441\) −2.10222 9.99139i −0.100106 0.475780i
\(442\) 13.0090 + 18.5855i 0.618773 + 0.884020i
\(443\) 29.7826 + 1.73464i 1.41501 + 0.0824151i 0.748528 0.663104i \(-0.230761\pi\)
0.666485 + 0.745519i \(0.267798\pi\)
\(444\) 8.32669 + 7.60649i 0.395167 + 0.360988i
\(445\) −4.57528 3.40617i −0.216889 0.161468i
\(446\) −14.1812 2.93071i −0.671501 0.138773i
\(447\) 1.04542 + 1.99906i 0.0494467 + 0.0945522i
\(448\) −12.6673 8.35000i −0.598475 0.394500i
\(449\) −2.91507 + 0.514006i −0.137571 + 0.0242574i −0.242010 0.970274i \(-0.577807\pi\)
0.104439 + 0.994531i \(0.466695\pi\)
\(450\) −6.67658 + 7.12780i −0.314737 + 0.336008i
\(451\) 0.755709 4.28584i 0.0355850 0.201812i
\(452\) −1.80950 2.43231i −0.0851117 0.114406i
\(453\) −9.67587 16.1410i −0.454612 0.758371i
\(454\) −14.6035 + 7.87092i −0.685375 + 0.369400i
\(455\) 14.7416 3.49383i 0.691097 0.163793i
\(456\) −4.95145 + 8.32098i −0.231873 + 0.389665i
\(457\) −24.5064 + 2.86438i −1.14636 + 0.133990i −0.667992 0.744169i \(-0.732846\pi\)
−0.478369 + 0.878159i \(0.658772\pi\)
\(458\) 18.7300 26.7395i 0.875195 1.24946i
\(459\) 13.6558 + 10.3567i 0.637397 + 0.483411i
\(460\) −0.904769 2.48847i −0.0421851 0.116026i
\(461\) −14.5125 + 33.6437i −0.675914 + 1.56695i 0.140887 + 0.990026i \(0.455005\pi\)
−0.816801 + 0.576920i \(0.804255\pi\)
\(462\) 1.19099 1.38292i 0.0554098 0.0643392i
\(463\) −30.1479 + 28.4430i −1.40109 + 1.32186i −0.515887 + 0.856657i \(0.672537\pi\)
−0.885204 + 0.465204i \(0.845981\pi\)
\(464\) −2.02881 + 6.75993i −0.0941852 + 0.313822i
\(465\) 20.2698 + 16.4488i 0.939990 + 0.762794i
\(466\) −25.1394 + 22.3645i −1.16456 + 1.03601i
\(467\) −13.3951 + 15.9637i −0.619853 + 0.738712i −0.981045 0.193780i \(-0.937925\pi\)
0.361192 + 0.932491i \(0.382370\pi\)
\(468\) −26.4884 12.2418i −1.22443 0.565877i
\(469\) 9.88773 + 11.7837i 0.456573 + 0.544122i
\(470\) −8.96390 1.31458i −0.413474 0.0606370i
\(471\) −2.26117 2.93539i −0.104189 0.135256i
\(472\) 16.3292 + 6.49684i 0.751612 + 0.299041i
\(473\) −3.10114 + 1.33770i −0.142591 + 0.0615076i
\(474\) −19.2240 + 4.29632i −0.882988 + 0.197336i
\(475\) 4.06583 2.04194i 0.186553 0.0936905i
\(476\) 10.8366 6.25161i 0.496696 0.286542i
\(477\) 4.27681 + 5.36735i 0.195822 + 0.245754i
\(478\) 24.1476 24.1394i 1.10449 1.10411i
\(479\) −11.8369 + 12.5464i −0.540843 + 0.573260i −0.938939 0.344084i \(-0.888190\pi\)
0.398096 + 0.917344i \(0.369671\pi\)
\(480\) −3.92285 + 15.6084i −0.179053 + 0.712424i
\(481\) 13.2288 8.70073i 0.603182 0.396719i
\(482\) 3.51989 + 24.0587i 0.160327 + 1.09584i
\(483\) −0.197325 2.64020i −0.00897861 0.120133i
\(484\) 21.6542 + 1.26862i 0.984280 + 0.0576644i
\(485\) −25.7723 −1.17026
\(486\) −21.8824 2.67587i −0.992606 0.121380i
\(487\) 24.3705i 1.10433i −0.833734 0.552166i \(-0.813801\pi\)
0.833734 0.552166i \(-0.186199\pi\)
\(488\) 7.41688 + 18.6973i 0.335747 + 0.846385i
\(489\) −3.02249 + 0.225897i −0.136682 + 0.0102154i
\(490\) 1.14448 + 7.82260i 0.0517024 + 0.353389i
\(491\) −1.73770 2.64205i −0.0784214 0.119234i 0.794147 0.607725i \(-0.207918\pi\)
−0.872569 + 0.488491i \(0.837547\pi\)
\(492\) 0.617061 + 38.3672i 0.0278192 + 1.72973i
\(493\) −4.23320 3.99382i −0.190654 0.179873i
\(494\) 9.61080 + 9.61407i 0.432410 + 0.432558i
\(495\) −1.80189 0.708019i −0.0809887 0.0318231i
\(496\) −36.1397 6.39780i −1.62272 0.287270i
\(497\) 11.7537 + 23.4036i 0.527227 + 1.04980i
\(498\) −30.2298 + 6.75596i −1.35463 + 0.302742i
\(499\) −11.7841 27.3187i −0.527529 1.22295i −0.948760 0.315997i \(-0.897661\pi\)
0.421231 0.906954i \(-0.361598\pi\)
\(500\) 17.4538 16.4556i 0.780559 0.735917i
\(501\) −6.88754 + 5.30557i −0.307712 + 0.237036i
\(502\) −2.44992 + 16.7056i −0.109345 + 0.745608i
\(503\) −2.04701 + 1.71764i −0.0912715 + 0.0765859i −0.687282 0.726391i \(-0.741196\pi\)
0.596010 + 0.802977i \(0.296752\pi\)
\(504\) −8.00080 + 13.9622i −0.356384 + 0.621927i
\(505\) −14.7710 12.3943i −0.657299 0.551539i
\(506\) −0.334591 + 0.297658i −0.0148744 + 0.0132325i
\(507\) −11.6264 + 14.3272i −0.516347 + 0.636293i
\(508\) −3.74740 8.69560i −0.166264 0.385805i
\(509\) 4.65600 + 4.93507i 0.206374 + 0.218743i 0.822291 0.569068i \(-0.192696\pi\)
−0.615917 + 0.787811i \(0.711214\pi\)
\(510\) −10.0558 8.66018i −0.445278 0.383479i
\(511\) −3.86365 1.66661i −0.170918 0.0737267i
\(512\) −5.82288 21.8654i −0.257337 0.966322i
\(513\) 9.13626 + 4.69080i 0.403376 + 0.207104i
\(514\) 7.76695 11.0883i 0.342586 0.489085i
\(515\) −3.04137 26.0206i −0.134019 1.14661i
\(516\) 24.6135 16.7617i 1.08355 0.737895i
\(517\) 0.353367 + 1.49097i 0.0155411 + 0.0655730i
\(518\) −4.14279 7.68642i −0.182024 0.337722i
\(519\) −9.04869 + 5.42431i −0.397193 + 0.238101i
\(520\) 19.8826 + 10.7337i 0.871908 + 0.470704i
\(521\) −8.10996 1.43001i −0.355304 0.0626497i −0.00685252 0.999977i \(-0.502181\pi\)
−0.348451 + 0.937327i \(0.613292\pi\)
\(522\) 7.29030 + 1.70025i 0.319088 + 0.0744177i
\(523\) −2.63348 14.9352i −0.115154 0.653072i −0.986674 0.162711i \(-0.947976\pi\)
0.871519 0.490361i \(-0.163135\pi\)
\(524\) −1.42379 + 1.50810i −0.0621985 + 0.0658816i
\(525\) 6.70052 3.50408i 0.292435 0.152931i
\(526\) 6.36164 30.7829i 0.277381 1.34220i
\(527\) 18.0724 24.2755i 0.787246 1.05746i
\(528\) 2.69823 0.358514i 0.117426 0.0156023i
\(529\) 1.29956 22.3125i 0.0565025 0.970110i
\(530\) −3.04728 4.35354i −0.132365 0.189106i
\(531\) 5.79668 17.7160i 0.251554 0.768808i
\(532\) 5.74444 4.81683i 0.249053 0.208836i
\(533\) 52.4202 + 12.4238i 2.27057 + 0.538136i
\(534\) 0.603544 8.48461i 0.0261179 0.367165i
\(535\) −8.83666 + 0.514677i −0.382042 + 0.0222514i
\(536\) −0.678978 + 22.9317i −0.0293274 + 0.990500i
\(537\) 21.9339 + 22.4967i 0.946518 + 0.970805i
\(538\) 15.1093 9.31603i 0.651410 0.401643i
\(539\) 1.15798 0.668559i 0.0498777 0.0287969i
\(540\) 16.7826 + 3.11958i 0.722209 + 0.134245i
\(541\) −23.2343 13.4143i −0.998920 0.576727i −0.0909916 0.995852i \(-0.529004\pi\)
−0.907929 + 0.419125i \(0.862337\pi\)
\(542\) −30.4359 + 0.880405i −1.30734 + 0.0378166i
\(543\) 0.498017 0.692407i 0.0213719 0.0297140i
\(544\) 18.2698 + 3.78864i 0.783311 + 0.162437i
\(545\) 6.65723 13.2556i 0.285164 0.567809i
\(546\) 16.2328 + 15.7135i 0.694699 + 0.672478i
\(547\) 6.47693 + 21.6345i 0.276934 + 0.925023i 0.977411 + 0.211348i \(0.0677854\pi\)
−0.700477 + 0.713675i \(0.747029\pi\)
\(548\) −5.67682 32.2591i −0.242502 1.37804i
\(549\) 19.3019 9.08903i 0.823784 0.387910i
\(550\) −1.15908 0.540728i −0.0494233 0.0230567i
\(551\) −2.91369 1.91636i −0.124127 0.0816398i
\(552\) 2.39948 3.13593i 0.102129 0.133474i
\(553\) 15.1479 + 1.77054i 0.644154 + 0.0752909i
\(554\) 10.4159 11.7002i 0.442528 0.497095i
\(555\) −6.24477 + 6.84072i −0.265076 + 0.290373i
\(556\) −4.71132 + 19.8485i −0.199805 + 0.841763i
\(557\) −9.80272 3.56790i −0.415355 0.151177i 0.125885 0.992045i \(-0.459823\pi\)
−0.541240 + 0.840868i \(0.682045\pi\)
\(558\) −4.38059 + 38.6807i −0.185445 + 1.63748i
\(559\) −14.2992 39.2866i −0.604790 1.66165i
\(560\) 6.85419 10.4058i 0.289642 0.439726i
\(561\) −0.732927 + 2.12147i −0.0309442 + 0.0895685i
\(562\) 23.3115 + 14.3842i 0.983335 + 0.606761i
\(563\) 27.3778 + 8.19636i 1.15383 + 0.345435i 0.805882 0.592077i \(-0.201692\pi\)
0.347953 + 0.937512i \(0.386877\pi\)
\(564\) −5.55000 12.3178i −0.233697 0.518674i
\(565\) 1.99712 1.48680i 0.0840193 0.0625500i
\(566\) 34.2754 15.9757i 1.44070 0.671511i
\(567\) 15.3099 + 7.54543i 0.642955 + 0.316878i
\(568\) −10.1285 + 37.7230i −0.424983 + 1.58282i
\(569\) −26.8711 + 20.0048i −1.12649 + 0.838643i −0.988415 0.151778i \(-0.951500\pi\)
−0.138079 + 0.990421i \(0.544093\pi\)
\(570\) −6.83529 4.06423i −0.286299 0.170232i
\(571\) −0.699041 + 2.33496i −0.0292540 + 0.0977151i −0.971370 0.237572i \(-0.923648\pi\)
0.942116 + 0.335288i \(0.108833\pi\)
\(572\) 0.444938 3.79547i 0.0186038 0.158697i
\(573\) 15.9694 3.08706i 0.667133 0.128964i
\(574\) 9.34960 28.1994i 0.390245 1.17702i
\(575\) −1.74350 + 0.634582i −0.0727090 + 0.0264639i
\(576\) −22.7611 + 7.61132i −0.948379 + 0.317138i
\(577\) 5.13434 + 1.86875i 0.213745 + 0.0777969i 0.446674 0.894697i \(-0.352609\pi\)
−0.232928 + 0.972494i \(0.574831\pi\)
\(578\) 5.36986 6.78892i 0.223357 0.282382i
\(579\) −21.1458 + 6.71095i −0.878791 + 0.278897i
\(580\) −5.55240 1.66434i −0.230551 0.0691080i
\(581\) 23.8201 + 2.78417i 0.988223 + 0.115507i
\(582\) −20.7054 32.3788i −0.858266 1.34214i
\(583\) −0.493880 + 0.750907i −0.0204544 + 0.0310994i
\(584\) −2.64925 5.68892i −0.109627 0.235409i
\(585\) 10.0466 21.7580i 0.415376 0.899582i
\(586\) −24.4882 6.56606i −1.01160 0.271241i
\(587\) 27.5032 8.23393i 1.13518 0.339850i 0.336545 0.941667i \(-0.390741\pi\)
0.798634 + 0.601817i \(0.205556\pi\)
\(588\) −8.90838 + 7.72251i −0.367375 + 0.318471i
\(589\) 8.13898 16.2060i 0.335361 0.667758i
\(590\) −5.33119 + 13.4127i −0.219482 + 0.552194i
\(591\) 2.92405 29.1627i 0.120279 1.19959i
\(592\) 3.01187 12.6696i 0.123787 0.520717i
\(593\) 34.3819 + 19.8504i 1.41190 + 0.815159i 0.995567 0.0940554i \(-0.0299831\pi\)
0.416329 + 0.909214i \(0.363316\pi\)
\(594\) −0.558116 2.83260i −0.0228998 0.116223i
\(595\) 5.13739 + 8.89823i 0.210613 + 0.364792i
\(596\) 1.43216 2.17588i 0.0586635 0.0891273i
\(597\) −3.48276 + 0.886080i −0.142540 + 0.0362648i
\(598\) −3.43762 4.34910i −0.140575 0.177848i
\(599\) −1.46092 25.0831i −0.0596918 1.02487i −0.886602 0.462534i \(-0.846940\pi\)
0.826910 0.562334i \(-0.190097\pi\)
\(600\) 10.9380 + 2.74508i 0.446544 + 0.112068i
\(601\) 36.4622 + 8.64171i 1.48733 + 0.352503i 0.892388 0.451269i \(-0.149029\pi\)
0.594938 + 0.803772i \(0.297177\pi\)
\(602\) −22.2712 + 5.96348i −0.907706 + 0.243053i
\(603\) 24.3203 0.799086i 0.990399 0.0325413i
\(604\) −10.8716 + 18.8153i −0.442358 + 0.765583i
\(605\) −1.03584 + 17.7846i −0.0421127 + 0.723047i
\(606\) 3.70453 28.5149i 0.150486 1.15834i
\(607\) 18.7572 + 13.9642i 0.761331 + 0.566790i 0.906294 0.422647i \(-0.138899\pi\)
−0.144964 + 0.989437i \(0.546306\pi\)
\(608\) 11.1757 + 0.334709i 0.453233 + 0.0135742i
\(609\) −4.89402 3.10493i −0.198316 0.125818i
\(610\) −15.3537 + 6.09661i −0.621654 + 0.246845i
\(611\) −18.6797 + 3.29374i −0.755700 + 0.133250i
\(612\) 2.80135 19.5910i 0.113238 0.791921i
\(613\) 29.7509 + 5.24589i 1.20163 + 0.211879i 0.738402 0.674361i \(-0.235581\pi\)
0.463226 + 0.886240i \(0.346692\pi\)
\(614\) −16.0674 + 3.31480i −0.648429 + 0.133775i
\(615\) −31.5102 + 0.517523i −1.27062 + 0.0208685i
\(616\) −2.06366 0.427212i −0.0831474 0.0172129i
\(617\) 3.93834 + 16.6172i 0.158552 + 0.668982i 0.993022 + 0.117929i \(0.0376257\pi\)
−0.834470 + 0.551053i \(0.814226\pi\)
\(618\) 30.2473 24.7259i 1.21673 0.994620i
\(619\) −7.96492 + 0.930966i −0.320137 + 0.0374187i −0.274644 0.961546i \(-0.588560\pi\)
−0.0454932 + 0.998965i \(0.514486\pi\)
\(620\) 5.24431 29.6828i 0.210616 1.19209i
\(621\) −3.47849 2.33250i −0.139587 0.0936001i
\(622\) 2.92946 33.4183i 0.117461 1.33995i
\(623\) −2.60845 + 6.04706i −0.104505 + 0.242270i
\(624\) 2.48839 + 33.6027i 0.0996154 + 1.34518i
\(625\) 5.62114 + 5.95806i 0.224846 + 0.238322i
\(626\) −36.6524 1.07273i −1.46492 0.0428748i
\(627\) −0.211769 + 1.32819i −0.00845723 + 0.0530429i
\(628\) −1.69598 + 3.92804i −0.0676770 + 0.156746i
\(629\) 8.22613 + 6.90254i 0.327997 + 0.275222i
\(630\) −11.4692 6.56703i −0.456944 0.261637i
\(631\) −14.6241 17.4283i −0.582175 0.693809i 0.391907 0.920005i \(-0.371815\pi\)
−0.974082 + 0.226196i \(0.927371\pi\)
\(632\) 15.1125 + 16.9992i 0.601142 + 0.676194i
\(633\) −3.79488 28.4126i −0.150833 1.12930i
\(634\) 9.64623 3.19459i 0.383101 0.126873i
\(635\) 7.14052 3.08012i 0.283363 0.122231i
\(636\) 3.02136 7.32604i 0.119805 0.290496i
\(637\) 7.42854 + 14.7914i 0.294330 + 0.586058i
\(638\) 0.0852773 + 0.976640i 0.00337616 + 0.0386656i
\(639\) 40.6037 + 8.22510i 1.60626 + 0.325380i
\(640\) 17.9561 4.78837i 0.709776 0.189277i
\(641\) 2.66575 + 2.51501i 0.105291 + 0.0993368i 0.737087 0.675798i \(-0.236201\pi\)
−0.631796 + 0.775134i \(0.717682\pi\)
\(642\) −7.74595 10.6884i −0.305708 0.421836i
\(643\) −8.11628 + 5.33816i −0.320075 + 0.210516i −0.699371 0.714759i \(-0.746536\pi\)
0.379296 + 0.925275i \(0.376166\pi\)
\(644\) −2.55478 + 1.67906i −0.100672 + 0.0661641i
\(645\) 13.7731 + 20.2101i 0.542314 + 0.795770i
\(646\) −4.37698 + 8.11431i −0.172210 + 0.319253i
\(647\) −38.4661 −1.51226 −0.756130 0.654422i \(-0.772912\pi\)
−0.756130 + 0.654422i \(0.772912\pi\)
\(648\) 9.56385 + 23.5909i 0.375703 + 0.926740i
\(649\) 2.44112 0.0958222
\(650\) 7.51655 13.9346i 0.294823 0.546561i
\(651\) 13.0824 27.1519i 0.512738 1.06417i
\(652\) 1.92218 + 2.92470i 0.0752783 + 0.114540i
\(653\) 10.7746 7.08654i 0.421641 0.277318i −0.320907 0.947111i \(-0.603988\pi\)
0.742548 + 0.669793i \(0.233617\pi\)
\(654\) 22.0020 2.28578i 0.860345 0.0893811i
\(655\) −1.23898 1.16892i −0.0484109 0.0456733i
\(656\) 38.3872 22.1280i 1.49877 0.863954i
\(657\) −5.84689 + 3.18102i −0.228109 + 0.124103i
\(658\) 0.909891 + 10.4206i 0.0354713 + 0.406236i
\(659\) −0.835439 1.66349i −0.0325441 0.0648006i 0.876773 0.480904i \(-0.159692\pi\)
−0.909317 + 0.416104i \(0.863395\pi\)
\(660\) 0.295198 + 2.21592i 0.0114905 + 0.0862546i
\(661\) 16.1285 6.95715i 0.627325 0.270602i −0.0585913 0.998282i \(-0.518661\pi\)
0.685916 + 0.727680i \(0.259402\pi\)
\(662\) 45.7964 15.1666i 1.77993 0.589467i
\(663\) −25.6895 10.5844i −0.997696 0.411066i
\(664\) 23.7644 + 26.7313i 0.922237 + 1.03738i
\(665\) 3.95760 + 4.71648i 0.153469 + 0.182897i
\(666\) −13.6113 2.34975i −0.527427 0.0910509i
\(667\) 1.08944 + 0.914147i 0.0421832 + 0.0353959i
\(668\) 9.21668 + 3.97942i 0.356604 + 0.153968i
\(669\) 16.5640 6.33873i 0.640400 0.245070i
\(670\) −18.8337 0.551217i −0.727609 0.0212954i
\(671\) 1.91736 + 2.03228i 0.0740187 + 0.0784553i
\(672\) 18.5799 + 0.251186i 0.716735 + 0.00968969i
\(673\) 2.76668 6.41389i 0.106648 0.247237i −0.856533 0.516093i \(-0.827386\pi\)
0.963181 + 0.268855i \(0.0866453\pi\)
\(674\) −3.88991 + 44.3747i −0.149834 + 1.70925i
\(675\) 2.18194 11.7606i 0.0839828 0.452667i
\(676\) 20.9805 + 3.70680i 0.806943 + 0.142569i
\(677\) −4.49331 + 0.525192i −0.172692 + 0.0201848i −0.201999 0.979386i \(-0.564744\pi\)
0.0293075 + 0.999570i \(0.490670\pi\)
\(678\) 3.47240 + 1.31457i 0.133357 + 0.0504857i
\(679\) 6.86223 + 28.9540i 0.263348 + 1.11115i
\(680\) −3.10644 + 15.0058i −0.119127 + 0.575445i
\(681\) 9.86866 17.7603i 0.378168 0.680577i
\(682\) −4.99284 + 1.03005i −0.191186 + 0.0394427i
\(683\) 35.6596 + 6.28774i 1.36448 + 0.240594i 0.807467 0.589913i \(-0.200838\pi\)
0.557009 + 0.830507i \(0.311949\pi\)
\(684\) −0.385395 11.8526i −0.0147359 0.453196i
\(685\) 26.4924 4.67132i 1.01222 0.178482i
\(686\) 25.9325 10.2972i 0.990107 0.393149i
\(687\) −1.66905 + 39.9492i −0.0636784 + 1.52416i
\(688\) −30.7177 15.4532i −1.17110 0.589148i
\(689\) −8.92419 6.64382i −0.339985 0.253109i
\(690\) 2.57616 + 1.96978i 0.0980728 + 0.0749882i
\(691\) 1.94309 33.3616i 0.0739188 1.26914i −0.733717 0.679455i \(-0.762216\pi\)
0.807636 0.589681i \(-0.200747\pi\)
\(692\) 10.5479 + 6.09463i 0.400971 + 0.231683i
\(693\) −0.315650 + 2.21286i −0.0119906 + 0.0840595i
\(694\) 32.1959 8.62098i 1.22214 0.327248i
\(695\) −16.3026 3.86379i −0.618393 0.146562i
\(696\) −2.36980 8.31283i −0.0898269 0.315097i
\(697\) 2.12441 + 36.4747i 0.0804677 + 1.38158i
\(698\) 11.5281 + 14.5847i 0.436344 + 0.552040i
\(699\) 11.1692 39.6672i 0.422457 1.50035i
\(700\) −7.29319 4.80037i −0.275657 0.181437i
\(701\) −17.4920 30.2971i −0.660665 1.14431i −0.980441 0.196812i \(-0.936941\pi\)
0.319776 0.947493i \(-0.396392\pi\)
\(702\) 35.4068 4.85835i 1.33634 0.183367i
\(703\) 5.57267 + 3.21738i 0.210177 + 0.121346i
\(704\) −1.87431 2.52302i −0.0706407 0.0950898i
\(705\) 10.1149 4.56159i 0.380949 0.171799i
\(706\) 11.5229 28.9905i 0.433670 1.09107i
\(707\) −9.99147 + 19.8947i −0.375768 + 0.748215i
\(708\) −21.1340 + 4.07796i −0.794265 + 0.153259i
\(709\) 42.9931 12.8713i 1.61464 0.483391i 0.652919 0.757427i \(-0.273544\pi\)
0.961719 + 0.274036i \(0.0883588\pi\)
\(710\) −30.9842 8.30785i −1.16282 0.311788i
\(711\) 16.9950 17.1231i 0.637362 0.642168i
\(712\) −8.90382 + 4.14638i −0.333685 + 0.155392i
\(713\) −4.06386 + 6.17879i −0.152193 + 0.231398i
\(714\) −7.05183 + 13.6031i −0.263908 + 0.509084i
\(715\) 3.11729 + 0.364359i 0.116580 + 0.0136263i
\(716\) 10.4172 34.7527i 0.389308 1.29877i
\(717\) −8.97434 + 40.8435i −0.335153 + 1.52533i
\(718\) −21.8135 + 27.5780i −0.814072 + 1.02920i
\(719\) 7.92331 + 2.88385i 0.295489 + 0.107549i 0.485511 0.874231i \(-0.338634\pi\)
−0.190022 + 0.981780i \(0.560856\pi\)
\(720\) −6.25744 18.6912i −0.233201 0.696581i
\(721\) −28.4232 + 10.3452i −1.05853 + 0.385275i
\(722\) 6.71756 20.2609i 0.250002 0.754032i
\(723\) −19.5139 22.4950i −0.725729 0.836596i
\(724\) −0.978153 0.114668i −0.0363528 0.00426159i
\(725\) −1.16491 + 3.89106i −0.0432636 + 0.144510i
\(726\) −23.1757 + 12.9867i −0.860131 + 0.481983i
\(727\) −6.93185 + 5.16057i −0.257088 + 0.191395i −0.717985 0.696059i \(-0.754935\pi\)
0.460897 + 0.887454i \(0.347528\pi\)
\(728\) 6.76483 25.1951i 0.250721 0.933794i
\(729\) 24.3402 11.6857i 0.901488 0.432804i
\(730\) 4.67149 2.17738i 0.172899 0.0805885i
\(731\) 22.7437 16.9320i 0.841205 0.626254i
\(732\) −19.9945 14.3915i −0.739020 0.531925i
\(733\) −31.1489 9.32535i −1.15051 0.344440i −0.345915 0.938266i \(-0.612432\pi\)
−0.804594 + 0.593826i \(0.797617\pi\)
\(734\) −15.9951 9.86967i −0.590389 0.364296i
\(735\) −6.34488 7.31416i −0.234034 0.269787i
\(736\) −4.51076 0.664655i −0.166269 0.0244995i
\(737\) 1.08992 + 2.99452i 0.0401475 + 0.110304i
\(738\) −25.9654 39.1718i −0.955799 1.44193i
\(739\) −6.56714 2.39024i −0.241576 0.0879265i 0.218395 0.975861i \(-0.429918\pi\)
−0.459971 + 0.887934i \(0.652140\pi\)
\(740\) 10.4062 + 2.47006i 0.382540 + 0.0908013i
\(741\) −16.2613 3.57302i −0.597374 0.131258i
\(742\) −4.07963 + 4.58267i −0.149768 + 0.168235i
\(743\) −16.3302 1.90872i −0.599096 0.0700243i −0.188861 0.982004i \(-0.560479\pi\)
−0.410236 + 0.911980i \(0.634554\pi\)
\(744\) 41.5049 17.2584i 1.52164 0.632724i
\(745\) 1.78742 + 1.17560i 0.0654859 + 0.0430707i
\(746\) −21.7214 10.1334i −0.795278 0.371009i
\(747\) 26.7246 26.9261i 0.977803 0.985176i
\(748\) 2.55251 0.449180i 0.0933291 0.0164236i
\(749\) 2.93110 + 9.79055i 0.107100 + 0.357739i
\(750\) −7.14170 + 28.4979i −0.260778 + 1.04060i
\(751\) 18.2641 36.3669i 0.666468 1.32705i −0.265361 0.964149i \(-0.585491\pi\)
0.931829 0.362898i \(-0.118213\pi\)
\(752\) −9.32449 + 12.5072i −0.340029 + 0.456089i
\(753\) −8.50122 18.8507i −0.309802 0.686957i
\(754\) −12.1306 + 0.350897i −0.441772 + 0.0127789i
\(755\) −15.4558 8.92340i −0.562493 0.324756i
\(756\) −0.963897 19.6852i −0.0350566 0.715942i
\(757\) −32.7442 + 18.9049i −1.19011 + 0.687109i −0.958331 0.285660i \(-0.907787\pi\)
−0.231777 + 0.972769i \(0.574454\pi\)
\(758\) −5.80928 + 3.58185i −0.211003 + 0.130099i
\(759\) 0.148655 0.527947i 0.00539584 0.0191633i
\(760\) −0.271763 + 9.17850i −0.00985790 + 0.332939i
\(761\) −50.0751 + 2.91654i −1.81522 + 0.105725i −0.931826 0.362904i \(-0.881785\pi\)
−0.883395 + 0.468629i \(0.844748\pi\)
\(762\) 9.60634 + 6.49636i 0.348001 + 0.235338i
\(763\) −16.6647 3.94960i −0.603302 0.142985i
\(764\) −12.0675 14.3914i −0.436586 0.520663i
\(765\) 16.0906 + 2.29523i 0.581758 + 0.0829842i
\(766\) 15.2616 + 21.8037i 0.551422 + 0.787798i
\(767\) −1.75704 + 30.1672i −0.0634430 + 1.08927i
\(768\) 20.4417 + 18.7120i 0.737625 + 0.675211i
\(769\) 14.6394 19.6642i 0.527912 0.709109i −0.455553 0.890209i \(-0.650558\pi\)
0.983465 + 0.181100i \(0.0579658\pi\)
\(770\) 0.350286 1.69498i 0.0126234 0.0610827i
\(771\) −0.692123 + 16.5661i −0.0249262 + 0.596614i
\(772\) 18.6273 + 17.5860i 0.670413 + 0.632934i