Properties

Label 216.2.t.a.13.33
Level $216$
Weight $2$
Character 216.13
Analytic conductor $1.725$
Analytic rank $0$
Dimension $204$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 216 = 2^{3} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 216.t (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.72476868366\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 13.33
Character \(\chi\) \(=\) 216.13
Dual form 216.2.t.a.133.33

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40920 + 0.118992i) q^{2} +(1.30914 + 1.13409i) q^{3} +(1.97168 + 0.335368i) q^{4} +(0.508621 - 0.606151i) q^{5} +(1.70988 + 1.75394i) q^{6} +(-3.72062 - 1.35420i) q^{7} +(2.73858 + 0.707214i) q^{8} +(0.427672 + 2.96936i) q^{9} +O(q^{10})\) \(q+(1.40920 + 0.118992i) q^{2} +(1.30914 + 1.13409i) q^{3} +(1.97168 + 0.335368i) q^{4} +(0.508621 - 0.606151i) q^{5} +(1.70988 + 1.75394i) q^{6} +(-3.72062 - 1.35420i) q^{7} +(2.73858 + 0.707214i) q^{8} +(0.427672 + 2.96936i) q^{9} +(0.788875 - 0.793665i) q^{10} +(-2.92987 - 3.49168i) q^{11} +(2.20086 + 2.67511i) q^{12} +(-3.31770 - 0.585000i) q^{13} +(-5.08196 - 2.35106i) q^{14} +(1.35328 - 0.216711i) q^{15} +(3.77506 + 1.32248i) q^{16} +(-2.50743 + 4.34299i) q^{17} +(0.249344 + 4.23531i) q^{18} +(6.10844 - 3.52671i) q^{19} +(1.20612 - 1.02456i) q^{20} +(-3.33502 - 5.99236i) q^{21} +(-3.71328 - 5.26910i) q^{22} +(-4.33163 + 1.57658i) q^{23} +(2.78313 + 4.03165i) q^{24} +(0.759517 + 4.30744i) q^{25} +(-4.60569 - 1.21916i) q^{26} +(-2.80765 + 4.37231i) q^{27} +(-6.88173 - 3.91782i) q^{28} +(3.32150 - 0.585669i) q^{29} +(1.93283 - 0.144358i) q^{30} +(7.51376 - 2.73478i) q^{31} +(5.16244 + 2.31283i) q^{32} +(0.124291 - 7.89382i) q^{33} +(-4.05025 + 5.82177i) q^{34} +(-2.71323 + 1.56649i) q^{35} +(-0.152594 + 5.99806i) q^{36} +(3.56434 + 2.05787i) q^{37} +(9.02765 - 4.24297i) q^{38} +(-3.67987 - 4.52842i) q^{39} +(1.82158 - 1.30029i) q^{40} +(0.333012 - 1.88860i) q^{41} +(-3.98666 - 8.84126i) q^{42} +(-3.66311 - 4.36553i) q^{43} +(-4.60577 - 7.86706i) q^{44} +(2.01740 + 1.25104i) q^{45} +(-6.29173 + 1.70629i) q^{46} +(-7.37860 - 2.68559i) q^{47} +(3.44225 + 6.01256i) q^{48} +(6.64689 + 5.57740i) q^{49} +(0.557759 + 6.16041i) q^{50} +(-8.20791 + 2.84191i) q^{51} +(-6.34526 - 2.26608i) q^{52} +1.95507i q^{53} +(-4.47680 + 5.82737i) q^{54} -3.60667 q^{55} +(-9.23154 - 6.33986i) q^{56} +(11.9964 + 2.31059i) q^{57} +(4.75034 - 0.430092i) q^{58} +(-3.02793 + 3.60855i) q^{59} +(2.74092 + 0.0265629i) q^{60} +(1.87567 - 5.15337i) q^{61} +(10.9138 - 2.95978i) q^{62} +(2.42989 - 11.6270i) q^{63} +(6.99970 + 3.87353i) q^{64} +(-2.04205 + 1.71348i) q^{65} +(1.11445 - 11.1092i) q^{66} +(5.36107 + 0.945302i) q^{67} +(-6.40035 + 7.72209i) q^{68} +(-7.45868 - 2.84850i) q^{69} +(-4.00989 + 1.88464i) q^{70} +(-5.56518 + 9.63918i) q^{71} +(-0.928758 + 8.43430i) q^{72} +(-1.32161 - 2.28909i) q^{73} +(4.77799 + 3.32408i) q^{74} +(-3.89072 + 6.50038i) q^{75} +(13.2266 - 4.90497i) q^{76} +(6.17251 + 16.9588i) q^{77} +(-4.64683 - 6.81932i) q^{78} +(-0.150274 - 0.852245i) q^{79} +(2.72169 - 1.61561i) q^{80} +(-8.63419 + 2.53982i) q^{81} +(0.694009 - 2.62179i) q^{82} +(0.0489550 - 0.00863210i) q^{83} +(-4.56595 - 12.9335i) q^{84} +(1.35718 + 3.72882i) q^{85} +(-4.64259 - 6.58778i) q^{86} +(5.01249 + 3.00016i) q^{87} +(-5.55432 - 11.6343i) q^{88} +(-2.15515 - 3.73283i) q^{89} +(2.69406 + 2.00303i) q^{90} +(11.5517 + 6.66938i) q^{91} +(-9.06933 + 1.65583i) q^{92} +(12.9380 + 4.94109i) q^{93} +(-10.0783 - 4.66252i) q^{94} +(0.969162 - 5.49639i) q^{95} +(4.13537 + 8.88250i) q^{96} +(5.00174 - 4.19696i) q^{97} +(8.70312 + 8.65059i) q^{98} +(9.11503 - 10.1931i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 6q^{6} - 12q^{7} - 3q^{8} - 12q^{9} - 3q^{10} + 3q^{12} - 21q^{14} - 12q^{15} - 6q^{16} - 6q^{17} - 27q^{18} + 15q^{20} - 6q^{22} - 12q^{23} - 12q^{25} - 30q^{26} - 12q^{28} - 39q^{30} - 12q^{31} - 36q^{32} - 36q^{36} - 42q^{38} - 12q^{39} - 21q^{40} - 24q^{41} - 66q^{42} + 21q^{44} - 3q^{46} - 12q^{47} + 51q^{48} - 12q^{49} - 99q^{50} - 33q^{52} - 90q^{54} - 24q^{55} + 99q^{56} - 30q^{57} + 21q^{58} + 102q^{60} - 36q^{62} - 72q^{63} - 3q^{64} - 12q^{65} - 9q^{66} + 75q^{68} + 9q^{70} - 90q^{71} + 60q^{72} - 6q^{73} + 9q^{74} - 18q^{76} + 12q^{78} - 12q^{79} + 78q^{80} - 12q^{81} - 12q^{82} + 102q^{84} - 30q^{86} - 48q^{87} - 30q^{88} - 6q^{89} + 6q^{90} + 111q^{92} - 33q^{94} - 42q^{95} + 126q^{96} - 12q^{97} + 54q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).

\(n\) \(55\) \(109\) \(137\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40920 + 0.118992i 0.996454 + 0.0841403i
\(3\) 1.30914 + 1.13409i 0.755830 + 0.654768i
\(4\) 1.97168 + 0.335368i 0.985841 + 0.167684i
\(5\) 0.508621 0.606151i 0.227462 0.271079i −0.640227 0.768186i \(-0.721160\pi\)
0.867689 + 0.497107i \(0.165604\pi\)
\(6\) 1.70988 + 1.75394i 0.698057 + 0.716042i
\(7\) −3.72062 1.35420i −1.40626 0.511838i −0.476233 0.879319i \(-0.657998\pi\)
−0.930031 + 0.367481i \(0.880220\pi\)
\(8\) 2.73858 + 0.707214i 0.968236 + 0.250038i
\(9\) 0.427672 + 2.96936i 0.142557 + 0.989787i
\(10\) 0.788875 0.793665i 0.249464 0.250979i
\(11\) −2.92987 3.49168i −0.883388 1.05278i −0.998234 0.0593973i \(-0.981082\pi\)
0.114847 0.993383i \(-0.463362\pi\)
\(12\) 2.20086 + 2.67511i 0.635334 + 0.772238i
\(13\) −3.31770 0.585000i −0.920164 0.162250i −0.306549 0.951855i \(-0.599174\pi\)
−0.613615 + 0.789605i \(0.710285\pi\)
\(14\) −5.08196 2.35106i −1.35821 0.628347i
\(15\) 1.35328 0.216711i 0.349417 0.0559545i
\(16\) 3.77506 + 1.32248i 0.943764 + 0.330619i
\(17\) −2.50743 + 4.34299i −0.608140 + 1.05333i 0.383406 + 0.923580i \(0.374751\pi\)
−0.991547 + 0.129750i \(0.958582\pi\)
\(18\) 0.249344 + 4.23531i 0.0587709 + 0.998271i
\(19\) 6.10844 3.52671i 1.40137 0.809082i 0.406838 0.913500i \(-0.366631\pi\)
0.994533 + 0.104418i \(0.0332981\pi\)
\(20\) 1.20612 1.02456i 0.269697 0.229099i
\(21\) −3.33502 5.99236i −0.727761 1.30764i
\(22\) −3.71328 5.26910i −0.791674 1.12338i
\(23\) −4.33163 + 1.57658i −0.903207 + 0.328740i −0.751537 0.659691i \(-0.770687\pi\)
−0.151670 + 0.988431i \(0.548465\pi\)
\(24\) 2.78313 + 4.03165i 0.568105 + 0.822956i
\(25\) 0.759517 + 4.30744i 0.151903 + 0.861487i
\(26\) −4.60569 1.21916i −0.903249 0.239097i
\(27\) −2.80765 + 4.37231i −0.540332 + 0.841452i
\(28\) −6.88173 3.91782i −1.30053 0.740399i
\(29\) 3.32150 0.585669i 0.616786 0.108756i 0.143479 0.989653i \(-0.454171\pi\)
0.473307 + 0.880897i \(0.343060\pi\)
\(30\) 1.93283 0.144358i 0.352885 0.0263561i
\(31\) 7.51376 2.73478i 1.34951 0.491182i 0.436716 0.899600i \(-0.356142\pi\)
0.912795 + 0.408418i \(0.133919\pi\)
\(32\) 5.16244 + 2.31283i 0.912599 + 0.408855i
\(33\) 0.124291 7.89382i 0.0216364 1.37414i
\(34\) −4.05025 + 5.82177i −0.694611 + 0.998426i
\(35\) −2.71323 + 1.56649i −0.458620 + 0.264785i
\(36\) −0.152594 + 5.99806i −0.0254323 + 0.999677i
\(37\) 3.56434 + 2.05787i 0.585973 + 0.338312i 0.763504 0.645803i \(-0.223477\pi\)
−0.177530 + 0.984115i \(0.556811\pi\)
\(38\) 9.02765 4.24297i 1.46448 0.688301i
\(39\) −3.67987 4.52842i −0.589251 0.725127i
\(40\) 1.82158 1.30029i 0.288017 0.205594i
\(41\) 0.333012 1.88860i 0.0520077 0.294950i −0.947699 0.319165i \(-0.896597\pi\)
0.999707 + 0.0242149i \(0.00770860\pi\)
\(42\) −3.98666 8.84126i −0.615155 1.36424i
\(43\) −3.66311 4.36553i −0.558619 0.665737i 0.410634 0.911800i \(-0.365307\pi\)
−0.969254 + 0.246064i \(0.920863\pi\)
\(44\) −4.60577 7.86706i −0.694345 1.18600i
\(45\) 2.01740 + 1.25104i 0.300737 + 0.186495i
\(46\) −6.29173 + 1.70629i −0.927664 + 0.251579i
\(47\) −7.37860 2.68559i −1.07628 0.391733i −0.257757 0.966210i \(-0.582984\pi\)
−0.818521 + 0.574476i \(0.805206\pi\)
\(48\) 3.44225 + 6.01256i 0.496846 + 0.867839i
\(49\) 6.64689 + 5.57740i 0.949555 + 0.796771i
\(50\) 0.557759 + 6.16041i 0.0788790 + 0.871214i
\(51\) −8.20791 + 2.84191i −1.14934 + 0.397947i
\(52\) −6.34526 2.26608i −0.879929 0.314249i
\(53\) 1.95507i 0.268550i 0.990944 + 0.134275i \(0.0428705\pi\)
−0.990944 + 0.134275i \(0.957129\pi\)
\(54\) −4.47680 + 5.82737i −0.609216 + 0.793005i
\(55\) −3.60667 −0.486324
\(56\) −9.23154 6.33986i −1.23362 0.847200i
\(57\) 11.9964 + 2.31059i 1.58896 + 0.306045i
\(58\) 4.75034 0.430092i 0.623750 0.0564738i
\(59\) −3.02793 + 3.60855i −0.394203 + 0.469793i −0.926243 0.376926i \(-0.876981\pi\)
0.532040 + 0.846719i \(0.321426\pi\)
\(60\) 2.74092 + 0.0265629i 0.353852 + 0.00342926i
\(61\) 1.87567 5.15337i 0.240156 0.659822i −0.759798 0.650159i \(-0.774702\pi\)
0.999953 0.00966241i \(-0.00307569\pi\)
\(62\) 10.9138 2.95978i 1.38605 0.375892i
\(63\) 2.42989 11.6270i 0.306137 1.46487i
\(64\) 6.99970 + 3.87353i 0.874962 + 0.484192i
\(65\) −2.04205 + 1.71348i −0.253285 + 0.212531i
\(66\) 1.11445 11.1092i 0.137180 1.36744i
\(67\) 5.36107 + 0.945302i 0.654959 + 0.115487i 0.491246 0.871021i \(-0.336542\pi\)
0.163713 + 0.986508i \(0.447653\pi\)
\(68\) −6.40035 + 7.72209i −0.776156 + 0.936441i
\(69\) −7.45868 2.84850i −0.897919 0.342919i
\(70\) −4.00989 + 1.88464i −0.479273 + 0.225257i
\(71\) −5.56518 + 9.63918i −0.660465 + 1.14396i 0.320028 + 0.947408i \(0.396308\pi\)
−0.980493 + 0.196552i \(0.937026\pi\)
\(72\) −0.928758 + 8.43430i −0.109455 + 0.993992i
\(73\) −1.32161 2.28909i −0.154683 0.267918i 0.778261 0.627941i \(-0.216102\pi\)
−0.932943 + 0.360023i \(0.882769\pi\)
\(74\) 4.77799 + 3.32408i 0.555430 + 0.386416i
\(75\) −3.89072 + 6.50038i −0.449261 + 0.750599i
\(76\) 13.2266 4.90497i 1.51720 0.562639i
\(77\) 6.17251 + 16.9588i 0.703423 + 1.93264i
\(78\) −4.64683 6.81932i −0.526150 0.772136i
\(79\) −0.150274 0.852245i −0.0169071 0.0958850i 0.975187 0.221385i \(-0.0710577\pi\)
−0.992094 + 0.125500i \(0.959947\pi\)
\(80\) 2.72169 1.61561i 0.304295 0.180631i
\(81\) −8.63419 + 2.53982i −0.959355 + 0.282203i
\(82\) 0.694009 2.62179i 0.0766405 0.289529i
\(83\) 0.0489550 0.00863210i 0.00537351 0.000947496i −0.170961 0.985278i \(-0.554687\pi\)
0.176334 + 0.984330i \(0.443576\pi\)
\(84\) −4.56595 12.9335i −0.498186 1.41116i
\(85\) 1.35718 + 3.72882i 0.147207 + 0.404447i
\(86\) −4.64259 6.58778i −0.500623 0.710378i
\(87\) 5.01249 + 3.00016i 0.537395 + 0.321651i
\(88\) −5.55432 11.6343i −0.592093 1.24022i
\(89\) −2.15515 3.73283i −0.228445 0.395679i 0.728902 0.684618i \(-0.240031\pi\)
−0.957348 + 0.288939i \(0.906698\pi\)
\(90\) 2.69406 + 2.00303i 0.283978 + 0.211137i
\(91\) 11.5517 + 6.66938i 1.21095 + 0.699141i
\(92\) −9.06933 + 1.65583i −0.945543 + 0.172633i
\(93\) 12.9380 + 4.94109i 1.34161 + 0.512367i
\(94\) −10.0783 4.66252i −1.03950 0.480903i
\(95\) 0.969162 5.49639i 0.0994339 0.563918i
\(96\) 4.13537 + 8.88250i 0.422064 + 0.906566i
\(97\) 5.00174 4.19696i 0.507850 0.426137i −0.352522 0.935804i \(-0.614676\pi\)
0.860372 + 0.509667i \(0.170231\pi\)
\(98\) 8.70312 + 8.65059i 0.879147 + 0.873842i
\(99\) 9.11503 10.1931i 0.916095 1.02445i
\(100\) 0.0529517 + 8.74761i 0.00529517 + 0.874761i
\(101\) 1.65905 4.55822i 0.165082 0.453559i −0.829376 0.558690i \(-0.811304\pi\)
0.994458 + 0.105131i \(0.0335262\pi\)
\(102\) −11.9047 + 3.02814i −1.17875 + 0.299831i
\(103\) 2.89374 + 2.42813i 0.285128 + 0.239251i 0.774122 0.633036i \(-0.218192\pi\)
−0.488994 + 0.872287i \(0.662636\pi\)
\(104\) −8.67208 3.94840i −0.850367 0.387172i
\(105\) −5.32853 1.02631i −0.520011 0.100158i
\(106\) −0.232639 + 2.75509i −0.0225959 + 0.267598i
\(107\) 6.44327i 0.622894i −0.950263 0.311447i \(-0.899186\pi\)
0.950263 0.311447i \(-0.100814\pi\)
\(108\) −7.00212 + 7.67922i −0.673779 + 0.738933i
\(109\) 1.86527i 0.178660i 0.996002 + 0.0893301i \(0.0284726\pi\)
−0.996002 + 0.0893301i \(0.971527\pi\)
\(110\) −5.08252 0.429166i −0.484599 0.0409194i
\(111\) 2.33239 + 6.73632i 0.221380 + 0.639383i
\(112\) −12.2547 10.0326i −1.15796 0.947992i
\(113\) 4.03671 + 3.38720i 0.379741 + 0.318641i 0.812601 0.582821i \(-0.198051\pi\)
−0.432859 + 0.901461i \(0.642495\pi\)
\(114\) 16.6303 + 4.68356i 1.55757 + 0.438655i
\(115\) −1.24751 + 3.42750i −0.116331 + 0.319616i
\(116\) 6.74535 0.0408314i 0.626290 0.00379110i
\(117\) 0.318188 10.1016i 0.0294165 0.933896i
\(118\) −4.69635 + 4.72486i −0.432334 + 0.434959i
\(119\) 15.2105 12.7631i 1.39434 1.16999i
\(120\) 3.85935 + 0.363581i 0.352308 + 0.0331903i
\(121\) −1.69757 + 9.62741i −0.154325 + 0.875219i
\(122\) 3.25641 7.03894i 0.294821 0.637275i
\(123\) 2.57781 2.09477i 0.232433 0.188879i
\(124\) 15.7319 2.87225i 1.41277 0.257936i
\(125\) 6.42358 + 3.70865i 0.574542 + 0.331712i
\(126\) 4.80772 16.0956i 0.428306 1.43391i
\(127\) 8.80265 + 15.2466i 0.781109 + 1.35292i 0.931296 + 0.364263i \(0.118679\pi\)
−0.150187 + 0.988658i \(0.547988\pi\)
\(128\) 9.40304 + 6.29149i 0.831119 + 0.556094i
\(129\) 0.155397 9.86937i 0.0136820 0.868950i
\(130\) −3.08154 + 2.17165i −0.270269 + 0.190466i
\(131\) 3.58706 + 9.85536i 0.313403 + 0.861067i 0.991964 + 0.126523i \(0.0403817\pi\)
−0.678561 + 0.734544i \(0.737396\pi\)
\(132\) 2.89239 15.5224i 0.251751 1.35105i
\(133\) −27.5031 + 4.84953i −2.38482 + 0.420508i
\(134\) 7.44233 + 1.97004i 0.642920 + 0.170186i
\(135\) 1.22225 + 3.92571i 0.105195 + 0.337871i
\(136\) −9.93823 + 10.1204i −0.852196 + 0.867814i
\(137\) −1.18700 6.73181i −0.101412 0.575137i −0.992593 0.121489i \(-0.961233\pi\)
0.891181 0.453649i \(-0.149878\pi\)
\(138\) −10.1718 4.90163i −0.865882 0.417254i
\(139\) −3.94000 10.8251i −0.334187 0.918171i −0.987010 0.160660i \(-0.948638\pi\)
0.652823 0.757510i \(-0.273585\pi\)
\(140\) −5.87498 + 2.17868i −0.496527 + 0.184132i
\(141\) −6.61388 11.8838i −0.556989 1.00080i
\(142\) −8.98943 + 12.9213i −0.754376 + 1.08433i
\(143\) 7.67778 + 13.2983i 0.642048 + 1.11206i
\(144\) −2.31242 + 11.7751i −0.192702 + 0.981257i
\(145\) 1.33438 2.31121i 0.110814 0.191936i
\(146\) −1.59003 3.38305i −0.131591 0.279983i
\(147\) 2.37639 + 14.8398i 0.196002 + 1.22396i
\(148\) 6.33759 + 5.25283i 0.520947 + 0.431780i
\(149\) 10.7148 + 1.88931i 0.877789 + 0.154778i 0.594344 0.804211i \(-0.297412\pi\)
0.283445 + 0.958989i \(0.408523\pi\)
\(150\) −6.25629 + 8.69736i −0.510824 + 0.710137i
\(151\) −13.6914 + 11.4884i −1.11419 + 0.934917i −0.998296 0.0583451i \(-0.981418\pi\)
−0.115894 + 0.993262i \(0.536973\pi\)
\(152\) 19.2226 5.33821i 1.55916 0.432986i
\(153\) −13.9683 5.58808i −1.12927 0.451769i
\(154\) 6.68032 + 24.6329i 0.538316 + 1.98497i
\(155\) 2.16396 5.94544i 0.173814 0.477549i
\(156\) −5.73686 10.1627i −0.459316 0.813668i
\(157\) −5.09556 + 6.07265i −0.406670 + 0.484650i −0.930042 0.367454i \(-0.880229\pi\)
0.523372 + 0.852104i \(0.324674\pi\)
\(158\) −0.110355 1.21886i −0.00877937 0.0969676i
\(159\) −2.21723 + 2.55946i −0.175838 + 0.202978i
\(160\) 4.02765 1.95286i 0.318414 0.154387i
\(161\) 18.2514 1.43841
\(162\) −12.4695 + 2.55171i −0.979697 + 0.200482i
\(163\) 16.2608i 1.27365i −0.771009 0.636824i \(-0.780248\pi\)
0.771009 0.636824i \(-0.219752\pi\)
\(164\) 1.28997 3.61204i 0.100730 0.282053i
\(165\) −4.72163 4.09030i −0.367578 0.318429i
\(166\) 0.0700145 0.00633906i 0.00543418 0.000492007i
\(167\) −9.24890 7.76075i −0.715701 0.600545i 0.210491 0.977596i \(-0.432494\pi\)
−0.926193 + 0.377051i \(0.876938\pi\)
\(168\) −4.89535 18.7691i −0.377685 1.44807i
\(169\) −1.55110 0.564555i −0.119316 0.0434273i
\(170\) 1.46883 + 5.41614i 0.112654 + 0.415399i
\(171\) 13.0845 + 16.6299i 1.00059 + 1.27172i
\(172\) −5.75843 9.83592i −0.439076 0.749982i
\(173\) −2.11267 2.51778i −0.160623 0.191423i 0.679730 0.733462i \(-0.262097\pi\)
−0.840353 + 0.542039i \(0.817652\pi\)
\(174\) 6.70660 + 4.82427i 0.508426 + 0.365727i
\(175\) 3.00724 17.0549i 0.227326 1.28923i
\(176\) −6.44275 17.0560i −0.485641 1.28564i
\(177\) −8.05640 + 1.29013i −0.605556 + 0.0969720i
\(178\) −2.59285 5.51674i −0.194343 0.413497i
\(179\) −7.43771 4.29416i −0.555920 0.320961i 0.195586 0.980687i \(-0.437339\pi\)
−0.751506 + 0.659726i \(0.770672\pi\)
\(180\) 3.55812 + 3.14323i 0.265206 + 0.234283i
\(181\) −10.0107 + 5.77968i −0.744089 + 0.429600i −0.823554 0.567237i \(-0.808012\pi\)
0.0794649 + 0.996838i \(0.474679\pi\)
\(182\) 15.4850 + 10.7730i 1.14783 + 0.798551i
\(183\) 8.29991 4.61928i 0.613547 0.341467i
\(184\) −12.9775 + 1.25422i −0.956715 + 0.0924622i
\(185\) 3.06028 1.11385i 0.224996 0.0818918i
\(186\) 17.6443 + 8.50250i 1.29374 + 0.623433i
\(187\) 22.5108 3.96925i 1.64615 0.290261i
\(188\) −13.6476 7.76967i −0.995352 0.566661i
\(189\) 16.3672 12.4656i 1.19054 0.906741i
\(190\) 2.01977 7.63018i 0.146530 0.553552i
\(191\) 4.01620 + 22.7770i 0.290602 + 1.64809i 0.684558 + 0.728958i \(0.259995\pi\)
−0.393956 + 0.919129i \(0.628894\pi\)
\(192\) 4.77061 + 13.0093i 0.344289 + 0.938864i
\(193\) 2.47922 0.902363i 0.178458 0.0649535i −0.251246 0.967923i \(-0.580840\pi\)
0.429704 + 0.902970i \(0.358618\pi\)
\(194\) 7.54785 5.31918i 0.541904 0.381895i
\(195\) −4.61657 0.0726898i −0.330599 0.00520542i
\(196\) 11.2351 + 13.2260i 0.802505 + 0.944715i
\(197\) −13.8978 + 8.02392i −0.990180 + 0.571680i −0.905328 0.424713i \(-0.860375\pi\)
−0.0848516 + 0.996394i \(0.527042\pi\)
\(198\) 14.0578 13.2795i 0.999043 0.943734i
\(199\) 9.62310 16.6677i 0.682164 1.18154i −0.292156 0.956371i \(-0.594373\pi\)
0.974319 0.225171i \(-0.0722941\pi\)
\(200\) −0.966279 + 12.3334i −0.0683262 + 0.872105i
\(201\) 5.94631 + 7.31748i 0.419421 + 0.516135i
\(202\) 2.88033 6.22602i 0.202659 0.438061i
\(203\) −13.1512 2.31890i −0.923030 0.162755i
\(204\) −17.1365 + 2.85068i −1.19979 + 0.199587i
\(205\) −0.975402 1.16244i −0.0681250 0.0811883i
\(206\) 3.78892 + 3.76605i 0.263987 + 0.262393i
\(207\) −6.53396 12.1879i −0.454142 0.847118i
\(208\) −11.7509 6.59599i −0.814775 0.457349i
\(209\) −30.2110 10.9959i −2.08974 0.760603i
\(210\) −7.38684 2.08033i −0.509740 0.143557i
\(211\) −13.9505 + 16.6256i −0.960392 + 1.14455i 0.0290432 + 0.999578i \(0.490754\pi\)
−0.989436 + 0.144973i \(0.953690\pi\)
\(212\) −0.655668 + 3.85478i −0.0450315 + 0.264748i
\(213\) −18.2173 + 6.30756i −1.24823 + 0.432187i
\(214\) 0.766699 9.07985i 0.0524105 0.620685i
\(215\) −4.50930 −0.307532
\(216\) −10.7811 + 9.98835i −0.733564 + 0.679621i
\(217\) −31.6593 −2.14917
\(218\) −0.221952 + 2.62853i −0.0150325 + 0.178027i
\(219\) 0.865877 4.49556i 0.0585106 0.303782i
\(220\) −7.11121 1.20956i −0.479438 0.0815486i
\(221\) 10.8595 12.9419i 0.730492 0.870566i
\(222\) 2.48523 + 9.77034i 0.166797 + 0.655743i
\(223\) −5.73818 2.08853i −0.384257 0.139858i 0.142666 0.989771i \(-0.454432\pi\)
−0.526924 + 0.849913i \(0.676655\pi\)
\(224\) −16.0755 15.5961i −1.07409 1.04206i
\(225\) −12.4655 + 4.09745i −0.831034 + 0.273163i
\(226\) 5.28547 + 5.25357i 0.351584 + 0.349462i
\(227\) −18.6090 22.1773i −1.23512 1.47196i −0.830063 0.557670i \(-0.811695\pi\)
−0.405059 0.914291i \(-0.632749\pi\)
\(228\) 22.8781 + 8.57894i 1.51514 + 0.568154i
\(229\) −12.6630 2.23282i −0.836791 0.147549i −0.261198 0.965285i \(-0.584118\pi\)
−0.575593 + 0.817736i \(0.695229\pi\)
\(230\) −2.16583 + 4.68159i −0.142811 + 0.308695i
\(231\) −11.1522 + 29.2016i −0.733762 + 1.92132i
\(232\) 9.51039 + 0.745105i 0.624388 + 0.0489185i
\(233\) 13.9217 24.1131i 0.912041 1.57970i 0.100865 0.994900i \(-0.467839\pi\)
0.811176 0.584802i \(-0.198828\pi\)
\(234\) 1.65041 14.1973i 0.107890 0.928109i
\(235\) −5.38078 + 3.10659i −0.351003 + 0.202652i
\(236\) −7.18031 + 6.09944i −0.467399 + 0.397040i
\(237\) 0.769795 1.28613i 0.0500036 0.0835430i
\(238\) 22.9533 16.1758i 1.48784 1.04852i
\(239\) 3.89187 1.41652i 0.251744 0.0916273i −0.213066 0.977038i \(-0.568345\pi\)
0.464810 + 0.885411i \(0.346123\pi\)
\(240\) 5.39532 + 0.971591i 0.348266 + 0.0627159i
\(241\) −3.28233 18.6150i −0.211434 1.19910i −0.886989 0.461791i \(-0.847207\pi\)
0.675555 0.737309i \(-0.263904\pi\)
\(242\) −3.53780 + 13.3649i −0.227419 + 0.859131i
\(243\) −14.1837 6.46699i −0.909886 0.414858i
\(244\) 5.42651 9.53177i 0.347397 0.610209i
\(245\) 6.76149 1.19223i 0.431976 0.0761690i
\(246\) 3.88190 2.64521i 0.247501 0.168653i
\(247\) −22.3291 + 8.12712i −1.42076 + 0.517116i
\(248\) 22.5111 2.17560i 1.42946 0.138151i
\(249\) 0.0738784 + 0.0442189i 0.00468185 + 0.00280226i
\(250\) 8.61080 + 5.99059i 0.544595 + 0.378878i
\(251\) −2.74444 + 1.58450i −0.173228 + 0.100013i −0.584107 0.811677i \(-0.698555\pi\)
0.410879 + 0.911690i \(0.365222\pi\)
\(252\) 8.69030 22.1099i 0.547437 1.39279i
\(253\) 18.1960 + 10.5055i 1.14397 + 0.660473i
\(254\) 10.5905 + 22.5330i 0.664504 + 1.41385i
\(255\) −2.45209 + 6.42069i −0.153556 + 0.402079i
\(256\) 12.5021 + 9.98485i 0.781382 + 0.624053i
\(257\) −0.803738 + 4.55822i −0.0501358 + 0.284334i −0.999560 0.0296622i \(-0.990557\pi\)
0.949424 + 0.313996i \(0.101668\pi\)
\(258\) 1.39336 13.8894i 0.0867471 0.864717i
\(259\) −10.4748 12.4834i −0.650872 0.775679i
\(260\) −4.60092 + 2.69361i −0.285337 + 0.167050i
\(261\) 3.15957 + 9.61224i 0.195573 + 0.594983i
\(262\) 3.88217 + 14.3150i 0.239841 + 0.884383i
\(263\) 16.1355 + 5.87284i 0.994957 + 0.362135i 0.787638 0.616139i \(-0.211304\pi\)
0.207319 + 0.978273i \(0.433526\pi\)
\(264\) 5.92300 21.5300i 0.364536 1.32508i
\(265\) 1.18507 + 0.994391i 0.0727982 + 0.0610850i
\(266\) −39.3343 + 3.56130i −2.41174 + 0.218357i
\(267\) 1.41199 7.33091i 0.0864121 0.448645i
\(268\) 10.2533 + 3.66176i 0.626320 + 0.223678i
\(269\) 2.41197i 0.147060i −0.997293 0.0735302i \(-0.976573\pi\)
0.997293 0.0735302i \(-0.0234265\pi\)
\(270\) 1.25527 + 5.67754i 0.0763933 + 0.345524i
\(271\) 17.5762 1.06768 0.533839 0.845586i \(-0.320749\pi\)
0.533839 + 0.845586i \(0.320749\pi\)
\(272\) −15.2092 + 13.0790i −0.922192 + 0.793033i
\(273\) 7.55906 + 21.8318i 0.457495 + 1.32132i
\(274\) −0.871685 9.62770i −0.0526604 0.581631i
\(275\) 12.8149 15.2722i 0.772767 0.920948i
\(276\) −13.7508 8.11774i −0.827704 0.488630i
\(277\) 5.51804 15.1607i 0.331547 0.910917i −0.656163 0.754619i \(-0.727822\pi\)
0.987710 0.156298i \(-0.0499560\pi\)
\(278\) −4.26415 15.7235i −0.255747 0.943033i
\(279\) 11.3340 + 21.1415i 0.678548 + 1.26571i
\(280\) −8.53827 + 2.37112i −0.510259 + 0.141701i
\(281\) −7.03652 + 5.90434i −0.419764 + 0.352223i −0.828073 0.560620i \(-0.810563\pi\)
0.408310 + 0.912843i \(0.366118\pi\)
\(282\) −7.90619 17.5336i −0.470807 1.04411i
\(283\) −0.0113336 0.00199842i −0.000673713 0.000118794i 0.173311 0.984867i \(-0.444553\pi\)
−0.173985 + 0.984748i \(0.555664\pi\)
\(284\) −14.2054 + 17.1390i −0.842937 + 1.01701i
\(285\) 7.50218 6.09640i 0.444390 0.361120i
\(286\) 9.23712 + 19.6536i 0.546203 + 1.16214i
\(287\) −3.79655 + 6.57582i −0.224103 + 0.388159i
\(288\) −4.65981 + 16.3183i −0.274582 + 0.961564i
\(289\) −4.07438 7.05704i −0.239670 0.415120i
\(290\) 2.15542 3.09817i 0.126571 0.181931i
\(291\) 11.3077 + 0.178044i 0.662869 + 0.0104371i
\(292\) −1.83810 4.95659i −0.107567 0.290063i
\(293\) −5.21237 14.3209i −0.304510 0.836634i −0.993702 0.112055i \(-0.964257\pi\)
0.689192 0.724579i \(-0.257966\pi\)
\(294\) 1.58299 + 21.1949i 0.0923220 + 1.23611i
\(295\) 0.647256 + 3.67077i 0.0376847 + 0.213720i
\(296\) 8.30588 + 8.15640i 0.482770 + 0.474081i
\(297\) 23.4927 3.00690i 1.36319 0.174478i
\(298\) 14.8744 + 3.93738i 0.861654 + 0.228087i
\(299\) 15.2933 2.69663i 0.884437 0.155950i
\(300\) −9.85127 + 11.5119i −0.568763 + 0.664638i
\(301\) 7.71728 + 21.2031i 0.444817 + 1.22212i
\(302\) −20.6609 + 14.5603i −1.18890 + 0.837853i
\(303\) 7.34136 4.08580i 0.421750 0.234723i
\(304\) 27.7237 5.23526i 1.59006 0.300263i
\(305\) −2.16971 3.75806i −0.124237 0.215186i
\(306\) −19.0191 9.53683i −1.08725 0.545184i
\(307\) 13.5691 + 7.83415i 0.774432 + 0.447119i 0.834453 0.551079i \(-0.185784\pi\)
−0.0600213 + 0.998197i \(0.519117\pi\)
\(308\) 6.48278 + 35.5075i 0.369391 + 2.02323i
\(309\) 1.03457 + 6.46052i 0.0588545 + 0.367526i
\(310\) 3.75692 8.12081i 0.213378 0.461231i
\(311\) 5.64104 31.9919i 0.319874 1.81410i −0.223612 0.974678i \(-0.571785\pi\)
0.543486 0.839418i \(-0.317104\pi\)
\(312\) −6.87509 15.0039i −0.389225 0.849430i
\(313\) 9.73885 8.17186i 0.550472 0.461901i −0.324629 0.945842i \(-0.605239\pi\)
0.875101 + 0.483941i \(0.160795\pi\)
\(314\) −7.90326 + 7.95124i −0.446006 + 0.448714i
\(315\) −5.81184 7.38663i −0.327460 0.416189i
\(316\) −0.0104767 1.73075i −0.000589361 0.0973624i
\(317\) −6.57901 + 18.0757i −0.369514 + 1.01523i 0.606033 + 0.795440i \(0.292760\pi\)
−0.975547 + 0.219792i \(0.929462\pi\)
\(318\) −3.42908 + 3.34295i −0.192293 + 0.187463i
\(319\) −11.7765 9.88166i −0.659358 0.553267i
\(320\) 5.90814 2.27271i 0.330275 0.127048i
\(321\) 7.30726 8.43511i 0.407851 0.470802i
\(322\) 25.7198 + 2.17177i 1.43331 + 0.121028i
\(323\) 35.3718i 1.96814i
\(324\) −17.8757 + 2.11210i −0.993092 + 0.117339i
\(325\) 14.7351i 0.817356i
\(326\) 1.93492 22.9148i 0.107165 1.26913i
\(327\) −2.11538 + 2.44189i −0.116981 + 0.135037i
\(328\) 2.24763 4.93659i 0.124105 0.272578i
\(329\) 23.8162 + 19.9841i 1.31303 + 1.10176i
\(330\) −6.16699 6.32588i −0.339482 0.348228i
\(331\) −1.10235 + 3.02867i −0.0605905 + 0.166471i −0.966294 0.257440i \(-0.917121\pi\)
0.905704 + 0.423911i \(0.139343\pi\)
\(332\) 0.0994187 0.000601809i 0.00545631 3.30285e-5i
\(333\) −4.58619 + 11.4639i −0.251322 + 0.628217i
\(334\) −12.1101 12.0370i −0.662634 0.658635i
\(335\) 3.29975 2.76882i 0.180285 0.151277i
\(336\) −4.66514 27.0320i −0.254504 1.47471i
\(337\) −5.11170 + 28.9899i −0.278452 + 1.57918i 0.449326 + 0.893368i \(0.351664\pi\)
−0.727778 + 0.685813i \(0.759447\pi\)
\(338\) −2.11863 0.980140i −0.115239 0.0533126i
\(339\) 1.44320 + 9.01230i 0.0783840 + 0.489481i
\(340\) 1.42540 + 7.80719i 0.0773031 + 0.423404i
\(341\) −31.5633 18.2231i −1.70925 0.986835i
\(342\) 16.4598 + 24.9917i 0.890044 + 1.35140i
\(343\) −3.31975 5.74998i −0.179250 0.310470i
\(344\) −6.94438 14.5460i −0.374416 0.784266i
\(345\) −5.52026 + 3.07228i −0.297201 + 0.165406i
\(346\) −2.67757 3.79944i −0.143947 0.204259i
\(347\) 0.677943 + 1.86263i 0.0363939 + 0.0999914i 0.956559 0.291540i \(-0.0941677\pi\)
−0.920165 + 0.391531i \(0.871945\pi\)
\(348\) 8.87688 + 7.59639i 0.475851 + 0.407209i
\(349\) 31.3630 5.53015i 1.67882 0.296022i 0.748603 0.663019i \(-0.230725\pi\)
0.930222 + 0.366997i \(0.119614\pi\)
\(350\) 6.26720 23.6759i 0.334996 1.26553i
\(351\) 11.8727 12.8635i 0.633719 0.686605i
\(352\) −7.04959 24.8019i −0.375744 1.32194i
\(353\) 6.25698 + 35.4851i 0.333025 + 1.88868i 0.445917 + 0.895074i \(0.352878\pi\)
−0.112892 + 0.993607i \(0.536011\pi\)
\(354\) −11.5066 + 0.859397i −0.611568 + 0.0456764i
\(355\) 3.01223 + 8.27603i 0.159872 + 0.439246i
\(356\) −2.99740 8.08271i −0.158862 0.428383i
\(357\) 34.3871 + 0.541439i 1.81996 + 0.0286560i
\(358\) −9.97023 6.93636i −0.526943 0.366598i
\(359\) 8.08048 + 13.9958i 0.426472 + 0.738670i 0.996557 0.0829153i \(-0.0264231\pi\)
−0.570085 + 0.821586i \(0.693090\pi\)
\(360\) 4.64007 + 4.85283i 0.244553 + 0.255767i
\(361\) 15.3753 26.6308i 0.809228 1.40162i
\(362\) −14.7948 + 6.95352i −0.777597 + 0.365469i
\(363\) −13.1407 + 10.6784i −0.689709 + 0.560470i
\(364\) 20.5396 + 17.0240i 1.07657 + 0.892298i
\(365\) −2.05973 0.363187i −0.107811 0.0190101i
\(366\) 12.2459 5.52185i 0.640102 0.288632i
\(367\) −15.7119 + 13.1839i −0.820156 + 0.688193i −0.953009 0.302943i \(-0.902031\pi\)
0.132853 + 0.991136i \(0.457586\pi\)
\(368\) −18.4371 + 0.223218i −0.961102 + 0.0116361i
\(369\) 5.75036 + 0.181129i 0.299352 + 0.00942918i
\(370\) 4.44508 1.20549i 0.231089 0.0626702i
\(371\) 2.64755 7.27409i 0.137454 0.377652i
\(372\) 23.8526 + 14.0812i 1.23670 + 0.730079i
\(373\) 16.8068 20.0295i 0.870221 1.03709i −0.128748 0.991677i \(-0.541096\pi\)
0.998968 0.0454111i \(-0.0144598\pi\)
\(374\) 32.1944 2.91486i 1.66473 0.150724i
\(375\) 4.20338 + 12.1401i 0.217062 + 0.626910i
\(376\) −18.3076 12.5730i −0.944144 0.648401i
\(377\) −11.3623 −0.585190
\(378\) 24.5479 15.6190i 1.26261 0.803354i
\(379\) 6.99042i 0.359074i 0.983751 + 0.179537i \(0.0574599\pi\)
−0.983751 + 0.179537i \(0.942540\pi\)
\(380\) 3.75419 10.5121i 0.192586 0.539260i
\(381\) −5.76722 + 29.9429i −0.295464 + 1.53402i
\(382\) 2.94934 + 32.5752i 0.150901 + 1.66669i
\(383\) −7.84570 6.58332i −0.400896 0.336392i 0.419944 0.907550i \(-0.362050\pi\)
−0.820840 + 0.571158i \(0.806494\pi\)
\(384\) 5.17473 + 18.9003i 0.264072 + 0.964503i
\(385\) 13.4191 + 4.88415i 0.683900 + 0.248919i
\(386\) 3.60109 0.976601i 0.183291 0.0497077i
\(387\) 11.3962 12.7441i 0.579302 0.647819i
\(388\) 11.2694 6.59765i 0.572115 0.334945i
\(389\) −7.20890 8.59123i −0.365506 0.435593i 0.551678 0.834057i \(-0.313988\pi\)
−0.917184 + 0.398464i \(0.869543\pi\)
\(390\) −6.49701 0.651770i −0.328989 0.0330037i
\(391\) 4.01415 22.7654i 0.203004 1.15130i
\(392\) 14.2586 + 19.9750i 0.720170 + 1.00889i
\(393\) −6.48094 + 16.9701i −0.326920 + 0.856026i
\(394\) −20.5396 + 9.65356i −1.03477 + 0.486339i
\(395\) −0.593021 0.342381i −0.0298381 0.0172271i
\(396\) 21.3904 17.0407i 1.07491 0.856327i
\(397\) −3.99340 + 2.30559i −0.200423 + 0.115714i −0.596853 0.802351i \(-0.703582\pi\)
0.396430 + 0.918065i \(0.370249\pi\)
\(398\) 15.5442 22.3430i 0.779160 1.11995i
\(399\) −41.5050 24.8423i −2.07785 1.24367i
\(400\) −2.82926 + 17.2653i −0.141463 + 0.863263i
\(401\) 14.3732 5.23142i 0.717764 0.261245i 0.0427879 0.999084i \(-0.486376\pi\)
0.674976 + 0.737839i \(0.264154\pi\)
\(402\) 7.50881 + 11.0193i 0.374506 + 0.549595i
\(403\) −26.5282 + 4.67764i −1.32147 + 0.233010i
\(404\) 4.79981 8.43096i 0.238799 0.419456i
\(405\) −2.85201 + 6.52543i −0.141718 + 0.324251i
\(406\) −18.2567 4.83268i −0.906062 0.239842i
\(407\) −3.25761 18.4748i −0.161474 0.915762i
\(408\) −24.4879 + 1.97806i −1.21233 + 0.0979287i
\(409\) 0.943481 0.343399i 0.0466521 0.0169800i −0.318589 0.947893i \(-0.603209\pi\)
0.365241 + 0.930913i \(0.380987\pi\)
\(410\) −1.23621 1.75417i −0.0610523 0.0866324i
\(411\) 6.08055 10.1590i 0.299931 0.501107i
\(412\) 4.89121 + 5.75797i 0.240973 + 0.283675i
\(413\) 16.1525 9.32565i 0.794812 0.458885i
\(414\) −7.75738 17.9527i −0.381254 0.882325i
\(415\) 0.0196672 0.0340646i 0.000965425 0.00167217i
\(416\) −15.7744 10.6933i −0.773404 0.524283i
\(417\) 7.11862 18.6398i 0.348601 0.912796i
\(418\) −41.2649 19.0903i −2.01833 0.933737i
\(419\) 23.6393 + 4.16825i 1.15486 + 0.203633i 0.718096 0.695944i \(-0.245014\pi\)
0.436762 + 0.899577i \(0.356125\pi\)
\(420\) −10.1620 3.81058i −0.495854 0.185937i
\(421\) −4.34097 5.17337i −0.211566 0.252135i 0.649817 0.760091i \(-0.274846\pi\)
−0.861383 + 0.507956i \(0.830401\pi\)
\(422\) −21.6373 + 21.7687i −1.05329 + 1.05968i
\(423\) 4.81886 23.0583i 0.234301 1.12113i
\(424\) −1.38266 + 5.35413i −0.0671477 + 0.260020i
\(425\) −20.6116 7.50201i −0.999809 0.363901i
\(426\) −26.4223 + 6.72089i −1.28017 + 0.325628i
\(427\) −13.9574 + 16.6337i −0.675444 + 0.804963i
\(428\) 2.16086 12.7041i 0.104449 0.614075i
\(429\) −5.03024 + 26.1166i −0.242862 + 1.26092i
\(430\) −6.35450 0.536572i −0.306441 0.0258758i
\(431\) −29.2021 −1.40662 −0.703309 0.710884i \(-0.748295\pi\)
−0.703309 + 0.710884i \(0.748295\pi\)
\(432\) −16.3813 + 12.7927i −0.788146 + 0.615489i
\(433\) −11.3701 −0.546412 −0.273206 0.961956i \(-0.588084\pi\)
−0.273206 + 0.961956i \(0.588084\pi\)
\(434\) −44.6143 3.76721i −2.14155 0.180832i
\(435\) 4.36801 1.51238i 0.209430 0.0725131i
\(436\) −0.625550 + 3.67771i −0.0299584 + 0.176131i
\(437\) −20.8993 + 24.9068i −0.999750 + 1.19146i
\(438\) 1.75513 6.23211i 0.0838634 0.297782i
\(439\) −8.53681 3.10714i −0.407440 0.148296i 0.130166 0.991492i \(-0.458449\pi\)
−0.537606 + 0.843196i \(0.680671\pi\)
\(440\) −9.87718 2.55069i −0.470876 0.121599i
\(441\) −13.7186 + 22.1223i −0.653268 + 1.05344i
\(442\) 16.8432 16.9455i 0.801151 0.806015i
\(443\) 17.5098 + 20.8674i 0.831917 + 0.991440i 0.999984 + 0.00566416i \(0.00180297\pi\)
−0.168067 + 0.985776i \(0.553753\pi\)
\(444\) 2.33958 + 14.0641i 0.111032 + 0.667452i
\(445\) −3.35881 0.592249i −0.159223 0.0280753i
\(446\) −7.83772 3.62595i −0.371127 0.171694i
\(447\) 11.8845 + 14.6249i 0.562116 + 0.691734i
\(448\) −20.7977 23.8909i −0.982599 1.12874i
\(449\) 3.83919 6.64967i 0.181183 0.313818i −0.761101 0.648633i \(-0.775341\pi\)
0.942284 + 0.334816i \(0.108674\pi\)
\(450\) −18.0539 + 4.29082i −0.851071 + 0.202271i
\(451\) −7.57008 + 4.37059i −0.356461 + 0.205803i
\(452\) 6.82314 + 8.03226i 0.320934 + 0.377806i
\(453\) −30.9528 0.487366i −1.45429 0.0228984i
\(454\) −23.5848 33.4666i −1.10689 1.57066i
\(455\) 9.91809 3.60989i 0.464967 0.169234i
\(456\) 31.2190 + 14.8118i 1.46196 + 0.693624i
\(457\) 2.12889 + 12.0735i 0.0995853 + 0.564776i 0.993245 + 0.116032i \(0.0370175\pi\)
−0.893660 + 0.448744i \(0.851871\pi\)
\(458\) −17.5789 4.65328i −0.821409 0.217434i
\(459\) −11.9490 23.1568i −0.557729 1.08087i
\(460\) −3.60916 + 6.33957i −0.168278 + 0.295584i
\(461\) 16.2573 2.86660i 0.757177 0.133511i 0.218285 0.975885i \(-0.429954\pi\)
0.538893 + 0.842374i \(0.318843\pi\)
\(462\) −19.1905 + 39.8238i −0.892821 + 1.85277i
\(463\) 37.1376 13.5170i 1.72593 0.628187i 0.727601 0.686001i \(-0.240635\pi\)
0.998327 + 0.0578141i \(0.0184131\pi\)
\(464\) 13.3134 + 2.18166i 0.618058 + 0.101281i
\(465\) 9.57559 5.32925i 0.444058 0.247138i
\(466\) 22.4877 32.3236i 1.04172 1.49736i
\(467\) 4.76538 2.75129i 0.220516 0.127315i −0.385673 0.922635i \(-0.626031\pi\)
0.606189 + 0.795321i \(0.292698\pi\)
\(468\) 4.01512 19.8105i 0.185599 0.915740i
\(469\) −18.6664 10.7771i −0.861935 0.497638i
\(470\) −7.95225 + 3.73754i −0.366810 + 0.172400i
\(471\) −13.5577 + 2.17109i −0.624707 + 0.100039i
\(472\) −10.8443 + 7.74092i −0.499148 + 0.356305i
\(473\) −4.51059 + 25.5808i −0.207397 + 1.17621i
\(474\) 1.23783 1.72081i 0.0568556 0.0790394i
\(475\) 19.8305 + 23.6331i 0.909887 + 1.08436i
\(476\) 34.2705 20.0637i 1.57079 0.919616i
\(477\) −5.80532 + 0.836130i −0.265807 + 0.0382838i
\(478\) 5.65297 1.53306i 0.258561 0.0701206i
\(479\) −15.7910 5.74745i −0.721508 0.262608i −0.0449423 0.998990i \(-0.514310\pi\)
−0.676566 + 0.736382i \(0.736533\pi\)
\(480\) 7.48747 + 2.01117i 0.341755 + 0.0917967i
\(481\) −10.6215 8.91253i −0.484301 0.406377i
\(482\) −2.41041 26.6229i −0.109791 1.21264i
\(483\) 23.8935 + 20.6987i 1.08719 + 0.941824i
\(484\) −6.57579 + 18.4129i −0.298900 + 0.836949i
\(485\) 5.16647i 0.234597i
\(486\) −19.2182 10.8010i −0.871754 0.489945i
\(487\) −6.70956 −0.304039 −0.152020 0.988377i \(-0.548578\pi\)
−0.152020 + 0.988377i \(0.548578\pi\)
\(488\) 8.78123 12.7864i 0.397508 0.578815i
\(489\) 18.4413 21.2876i 0.833944 0.962661i
\(490\) 9.67015 0.875528i 0.436853 0.0395523i
\(491\) −19.8688 + 23.6787i −0.896667 + 1.06861i 0.100615 + 0.994925i \(0.467919\pi\)
−0.997282 + 0.0736810i \(0.976525\pi\)
\(492\) 5.78513 3.26571i 0.260814 0.147230i
\(493\) −5.78485 + 15.8938i −0.260537 + 0.715819i
\(494\) −32.4332 + 8.79574i −1.45924 + 0.395739i
\(495\) −1.54247 10.7095i −0.0693290 0.481357i
\(496\) 31.9816 0.387200i 1.43601 0.0173858i
\(497\) 33.7593 28.3274i 1.51431 1.27066i
\(498\) 0.0988476 + 0.0711042i 0.00442947 + 0.00318626i
\(499\) 13.9388 + 2.45779i 0.623986 + 0.110026i 0.476697 0.879068i \(-0.341834\pi\)
0.147289 + 0.989093i \(0.452945\pi\)
\(500\) 11.4215 + 9.46655i 0.510785 + 0.423357i
\(501\) −3.30666 20.6490i −0.147731 0.922528i
\(502\) −4.05601 + 1.90631i −0.181029 + 0.0850830i
\(503\) 9.87132 17.0976i 0.440140 0.762346i −0.557559 0.830137i \(-0.688262\pi\)
0.997699 + 0.0677917i \(0.0215953\pi\)
\(504\) 14.8773 30.1231i 0.662686 1.34179i
\(505\) −1.91914 3.32404i −0.0854004 0.147918i
\(506\) 24.3917 + 16.9695i 1.08434 + 0.754385i
\(507\) −1.39035 2.49817i −0.0617475 0.110948i
\(508\) 12.2428 + 33.0136i 0.543186 + 1.46474i
\(509\) −11.0783 30.4374i −0.491037 1.34911i −0.899733 0.436442i \(-0.856239\pi\)
0.408696 0.912671i \(-0.365984\pi\)
\(510\) −4.21949 + 8.75625i −0.186842 + 0.387733i
\(511\) 1.81733 + 10.3066i 0.0803939 + 0.455936i
\(512\) 16.4298 + 15.5583i 0.726103 + 0.687586i
\(513\) −1.73045 + 36.6097i −0.0764013 + 1.61636i
\(514\) −1.67502 + 6.32780i −0.0738819 + 0.279107i
\(515\) 2.94363 0.519041i 0.129712 0.0228717i
\(516\) 3.61626 19.4071i 0.159197 0.854352i
\(517\) 12.2411 + 33.6321i 0.538362 + 1.47914i
\(518\) −13.2756 18.8380i −0.583298 0.827693i
\(519\) 0.0896241 5.69208i 0.00393406 0.249854i
\(520\) −6.80413 + 3.24835i −0.298381 + 0.142450i
\(521\) −3.03183 5.25129i −0.132827 0.230063i 0.791938 0.610601i \(-0.209072\pi\)
−0.924765 + 0.380538i \(0.875739\pi\)
\(522\) 3.30868 + 13.9215i 0.144817 + 0.609329i
\(523\) −36.4139 21.0236i −1.59227 0.919298i −0.992917 0.118814i \(-0.962091\pi\)
−0.599354 0.800484i \(-0.704576\pi\)
\(524\) 3.76737 + 20.6346i 0.164578 + 0.901427i
\(525\) 23.2787 18.9167i 1.01597 0.825592i
\(526\) 22.0393 + 10.1960i 0.960958 + 0.444566i
\(527\) −6.96306 + 39.4895i −0.303316 + 1.72019i
\(528\) 10.9086 29.6352i 0.474736 1.28971i
\(529\) −1.34164 + 1.12577i −0.0583322 + 0.0489465i
\(530\) 1.55167 + 1.54231i 0.0674004 + 0.0669936i
\(531\) −12.0100 7.44775i −0.521192 0.323205i
\(532\) −55.8536 + 0.338097i −2.42156 + 0.0146584i
\(533\) −2.20967 + 6.07101i −0.0957113 + 0.262965i
\(534\) 2.86209 10.1627i 0.123855 0.439783i
\(535\) −3.90559 3.27718i −0.168853 0.141685i
\(536\) 14.0132 + 6.38022i 0.605279 + 0.275583i
\(537\) −4.86699 14.0567i −0.210026 0.606591i
\(538\) 0.287006 3.39895i 0.0123737 0.146539i
\(539\) 39.5498i 1.70353i
\(540\) 1.09334 + 8.15015i 0.0470499 + 0.350727i
\(541\) 10.0195i 0.430773i 0.976529 + 0.215387i \(0.0691012\pi\)
−0.976529 + 0.215387i \(0.930899\pi\)
\(542\) 24.7683 + 2.09143i 1.06389 + 0.0898346i
\(543\) −19.6600 3.78667i −0.843693 0.162501i
\(544\) −22.9891 + 16.6212i −0.985648 + 0.712627i
\(545\) 1.13063 + 0.948714i 0.0484310 + 0.0406384i
\(546\) 8.05440 + 31.6648i 0.344697 + 1.35513i
\(547\) 3.01183 8.27494i 0.128777 0.353811i −0.858502 0.512810i \(-0.828605\pi\)
0.987279 + 0.158999i \(0.0508267\pi\)
\(548\) −0.0827547 13.6711i −0.00353511 0.583999i
\(549\) 16.1044 + 3.36560i 0.687319 + 0.143640i
\(550\) 19.8760 19.9967i 0.847516 0.852662i
\(551\) 18.2237 15.2915i 0.776354 0.651438i
\(552\) −18.4117 13.0757i −0.783655 0.556541i
\(553\) −0.594995 + 3.37438i −0.0253017 + 0.143493i
\(554\) 9.58001 20.7078i 0.407016 0.879790i
\(555\) 5.26952 + 2.01245i 0.223679 + 0.0854239i
\(556\) −4.13806 22.6649i −0.175493 0.961208i
\(557\) 3.90866 + 2.25666i 0.165615 + 0.0956179i 0.580517 0.814248i \(-0.302851\pi\)
−0.414901 + 0.909866i \(0.636184\pi\)
\(558\) 13.4562 + 31.1412i 0.569645 + 1.31831i
\(559\) 9.59927 + 16.6264i 0.406006 + 0.703223i
\(560\) −12.3143 + 2.32539i −0.520372 + 0.0982656i
\(561\) 33.9711 + 20.3330i 1.43426 + 0.858459i
\(562\) −10.6184 + 7.48310i −0.447911 + 0.315655i
\(563\) −5.14318 14.1308i −0.216759 0.595541i 0.782886 0.622165i \(-0.213747\pi\)
−0.999646 + 0.0266239i \(0.991524\pi\)
\(564\) −9.05502 25.6492i −0.381285 1.08002i
\(565\) 4.10631 0.724053i 0.172754 0.0304611i
\(566\) −0.0157335 0.00416479i −0.000661329 0.000175059i
\(567\) 35.5640 + 2.24266i 1.49355 + 0.0941829i
\(568\) −22.0577 + 22.4619i −0.925520 + 0.942482i
\(569\) 4.81063 + 27.2824i 0.201672 + 1.14374i 0.902591 + 0.430499i \(0.141662\pi\)
−0.700919 + 0.713241i \(0.747227\pi\)
\(570\) 11.2975 7.69834i 0.473199 0.322448i
\(571\) −13.0209 35.7745i −0.544906 1.49712i −0.840504 0.541805i \(-0.817741\pi\)
0.295598 0.955312i \(-0.404481\pi\)
\(572\) 10.6783 + 28.7949i 0.446483 + 1.20398i
\(573\) −20.5735 + 34.3730i −0.859469 + 1.43595i
\(574\) −6.13257 + 8.81488i −0.255968 + 0.367926i
\(575\) −10.0810 17.4608i −0.420406 0.728164i
\(576\) −8.50834 + 22.4412i −0.354514 + 0.935051i
\(577\) −5.45660 + 9.45110i −0.227161 + 0.393454i −0.956966 0.290201i \(-0.906278\pi\)
0.729805 + 0.683656i \(0.239611\pi\)
\(578\) −4.90188 10.4296i −0.203891 0.433814i
\(579\) 4.26900 + 1.63035i 0.177414 + 0.0677550i
\(580\) 3.40607 4.10947i 0.141430 0.170636i
\(581\) −0.193833 0.0341780i −0.00804154 0.00141794i
\(582\) 15.9136 + 1.59643i 0.659640 + 0.0661741i
\(583\) 6.82649 5.72810i 0.282724 0.237234i
\(584\) −2.00046 7.20354i −0.0827796 0.298085i
\(585\) −5.96127 5.33077i −0.246468 0.220400i
\(586\) −5.64119 20.8012i −0.233035 0.859289i
\(587\) −15.6970 + 43.1271i −0.647883 + 1.78004i −0.0224745 + 0.999747i \(0.507154\pi\)
−0.625409 + 0.780297i \(0.715068\pi\)
\(588\) −0.291282 + 30.0562i −0.0120122 + 1.23950i
\(589\) 36.2525 43.2041i 1.49376 1.78019i
\(590\) 0.475318 + 5.24986i 0.0195686 + 0.216133i
\(591\) −27.2940 5.25702i −1.12273 0.216245i
\(592\) 10.7341 + 12.4823i 0.441168 + 0.513021i
\(593\) −15.2625 −0.626755 −0.313378 0.949629i \(-0.601461\pi\)
−0.313378 + 0.949629i \(0.601461\pi\)
\(594\) 33.4637 1.44186i 1.37303 0.0591604i
\(595\) 15.7114i 0.644105i
\(596\) 20.4925 + 7.31850i 0.839407 + 0.299777i
\(597\) 31.5006 10.9068i 1.28924 0.446386i
\(598\) 21.8722 1.98030i 0.894422 0.0809803i
\(599\) −0.191609 0.160779i −0.00782893 0.00656925i 0.638865 0.769319i \(-0.279404\pi\)
−0.646694 + 0.762750i \(0.723849\pi\)
\(600\) −15.2522 + 15.0503i −0.622669 + 0.614425i
\(601\) 40.8905 + 14.8829i 1.66796 + 0.607087i 0.991583 0.129472i \(-0.0413282\pi\)
0.676374 + 0.736559i \(0.263550\pi\)
\(602\) 8.35218 + 30.7976i 0.340410 + 1.25522i
\(603\) −0.514160 + 16.3232i −0.0209382 + 0.664734i
\(604\) −30.8479 + 18.0599i −1.25518 + 0.734847i
\(605\) 4.97224 + 5.92569i 0.202150 + 0.240913i
\(606\) 10.8316 4.88414i 0.440004 0.198405i
\(607\) −4.64267 + 26.3299i −0.188440 + 1.06870i 0.733015 + 0.680213i \(0.238113\pi\)
−0.921455 + 0.388485i \(0.872999\pi\)
\(608\) 39.6911 4.07862i 1.60969 0.165410i
\(609\) −14.5868 17.9504i −0.591087 0.727386i
\(610\) −2.61038 5.55403i −0.105691 0.224876i
\(611\) 22.9089 + 13.2265i 0.926794 + 0.535085i
\(612\) −25.6669 15.7024i −1.03752 0.634732i
\(613\) 20.7249 11.9655i 0.837070 0.483283i −0.0191971 0.999816i \(-0.506111\pi\)
0.856267 + 0.516533i \(0.172778\pi\)
\(614\) 18.1894 + 12.6545i 0.734065 + 0.510694i
\(615\) 0.0413787 2.62799i 0.00166855 0.105971i
\(616\) 4.91041 + 50.8085i 0.197846 + 2.04713i
\(617\) 7.04370 2.56370i 0.283569 0.103210i −0.196320 0.980540i \(-0.562899\pi\)
0.479889 + 0.877329i \(0.340677\pi\)
\(618\) 0.689159 + 9.22726i 0.0277221 + 0.371175i
\(619\) −14.0173 + 2.47163i −0.563402 + 0.0993430i −0.448094 0.893987i \(-0.647897\pi\)
−0.115309 + 0.993330i \(0.536786\pi\)
\(620\) 6.26055 10.9968i 0.251430 0.441642i
\(621\) 5.26836 23.3657i 0.211412 0.937634i
\(622\) 11.7561 44.4118i 0.471378 1.78075i
\(623\) 2.96352 + 16.8069i 0.118731 + 0.673356i
\(624\) −7.90301 21.9616i −0.316374 0.879167i
\(625\) −15.0354 + 5.47243i −0.601415 + 0.218897i
\(626\) 14.6964 10.3569i 0.587385 0.413946i
\(627\) −27.0800 48.6572i −1.08147 1.94318i
\(628\) −12.0834 + 10.2645i −0.482180 + 0.409596i
\(629\) −17.8746 + 10.3199i −0.712708 + 0.411482i
\(630\) −7.31108 11.1008i −0.291280 0.442266i
\(631\) −22.2070 + 38.4637i −0.884048 + 1.53122i −0.0372471 + 0.999306i \(0.511859\pi\)
−0.846801 + 0.531910i \(0.821474\pi\)
\(632\) 0.191182 2.44022i 0.00760483 0.0970668i
\(633\) −37.1180 + 5.94397i −1.47531 + 0.236251i
\(634\) −11.4220 + 24.6894i −0.453626 + 0.980541i
\(635\) 13.7190 + 2.41903i 0.544421 + 0.0959961i
\(636\) −5.23004 + 4.30284i −0.207384 + 0.170619i
\(637\) −18.7896 22.3926i −0.744471 0.887226i
\(638\) −15.4196 15.3265i −0.610468 0.606783i
\(639\) −31.0023 12.4026i −1.22643 0.490640i
\(640\) 8.59617 2.49968i 0.339794 0.0988084i
\(641\) −34.2487 12.4655i −1.35274 0.492359i −0.438941 0.898516i \(-0.644646\pi\)
−0.913803 + 0.406157i \(0.866868\pi\)
\(642\) 11.3011 11.0172i 0.446018 0.434816i
\(643\) −12.8834 + 15.3538i −0.508072 + 0.605496i −0.957717 0.287711i \(-0.907106\pi\)
0.449646 + 0.893207i \(0.351550\pi\)
\(644\) 35.9859 + 6.12092i 1.41804 + 0.241198i
\(645\) −5.90329 5.11396i −0.232442 0.201362i
\(646\) −4.20898 + 49.8460i −0.165600 + 1.96116i
\(647\) 24.2273 0.952475 0.476238 0.879317i \(-0.342000\pi\)
0.476238 + 0.879317i \(0.342000\pi\)
\(648\) −25.4417 + 0.849299i −0.999443 + 0.0333636i
\(649\) 21.4713 0.842824
\(650\) 1.75336 20.7647i 0.0687726 0.814458i
\(651\) −41.4463 35.9046i −1.62441 1.40721i
\(652\) 5.45336 32.0612i 0.213570 1.25561i
\(653\) 18.5592 22.1180i 0.726277 0.865543i −0.268948 0.963155i \(-0.586676\pi\)
0.995225 + 0.0976117i \(0.0311203\pi\)
\(654\) −3.27156 + 3.18939i −0.127928 + 0.124715i
\(655\) 7.79829 + 2.83834i 0.304704 + 0.110903i
\(656\) 3.75477 6.68919i 0.146599 0.261169i
\(657\) 6.23193 4.90331i 0.243131 0.191297i
\(658\) 31.1837 + 30.9956i 1.21567 + 1.20833i
\(659\) 12.4603 + 14.8496i 0.485384 + 0.578458i 0.952037 0.305982i \(-0.0989848\pi\)
−0.466653 + 0.884440i \(0.654540\pi\)
\(660\) −7.93779 9.64825i −0.308978 0.375558i
\(661\) −0.820430 0.144664i −0.0319110 0.00562677i 0.157670 0.987492i \(-0.449602\pi\)
−0.189581 + 0.981865i \(0.560713\pi\)
\(662\) −1.91381 + 4.13683i −0.0743825 + 0.160783i
\(663\) 28.8939 4.62698i 1.12215 0.179697i
\(664\) 0.140172 + 0.0109820i 0.00543974 + 0.000426184i
\(665\) −11.0491 + 19.1376i −0.428465 + 0.742123i
\(666\) −7.82697 + 15.6092i −0.303289 + 0.604843i
\(667\) −13.4641 + 7.77352i −0.521333 + 0.300992i
\(668\) −15.6332 18.4035i −0.604866 0.712053i
\(669\) −5.14348 9.24179i −0.198858 0.357308i
\(670\) 4.97947 3.50917i 0.192374 0.135571i
\(671\) −23.4894 + 8.54944i −0.906798 + 0.330047i
\(672\) −3.35751 38.6485i −0.129519 1.49090i
\(673\) 4.69264 + 26.6133i 0.180888 + 1.02587i 0.931126 + 0.364698i \(0.118828\pi\)
−0.750238 + 0.661168i \(0.770061\pi\)
\(674\) −10.6530 + 40.2443i −0.410337 + 1.55015i
\(675\) −20.9659 8.77291i −0.806979 0.337669i
\(676\) −2.86895 1.63331i −0.110344 0.0628197i
\(677\) −3.65534 + 0.644536i −0.140486 + 0.0247715i −0.243449 0.969914i \(-0.578279\pi\)
0.102963 + 0.994685i \(0.467168\pi\)
\(678\) 0.961364 + 12.8718i 0.0369210 + 0.494340i
\(679\) −24.2931 + 8.84197i −0.932284 + 0.339324i
\(680\) 1.07967 + 11.1715i 0.0414036 + 0.428407i
\(681\) 0.789435 50.1374i 0.0302512 1.92127i
\(682\) −42.3105 29.4357i −1.62015 1.12715i
\(683\) 9.79814 5.65696i 0.374916 0.216458i −0.300688 0.953722i \(-0.597216\pi\)
0.675604 + 0.737265i \(0.263883\pi\)
\(684\) 20.2213 + 37.1769i 0.773180 + 1.42149i
\(685\) −4.68423 2.70444i −0.178975 0.103331i
\(686\) −3.99399 8.49789i −0.152491 0.324451i
\(687\) −14.0453 17.2840i −0.535862 0.659426i
\(688\) −8.05515 21.3245i −0.307100 0.812989i
\(689\) 1.14372 6.48634i 0.0435722 0.247110i
\(690\) −8.14472 + 3.67258i −0.310064 + 0.139813i
\(691\) 19.6465 + 23.4138i 0.747388 + 0.890703i 0.996981 0.0776481i \(-0.0247411\pi\)
−0.249592 + 0.968351i \(0.580297\pi\)
\(692\) −3.32113 5.67278i −0.126250 0.215647i
\(693\) −47.7171 + 25.5812i −1.81262 + 0.971750i
\(694\) 0.733717 + 2.70549i 0.0278515 + 0.102699i
\(695\) −8.56559 3.11762i −0.324912 0.118258i
\(696\) 11.6054 + 11.7611i 0.439901 + 0.445803i
\(697\) 7.36719 + 6.18180i 0.279052 + 0.234153i
\(698\) 44.8548 4.06112i 1.69778 0.153716i
\(699\) 45.5719 15.7788i 1.72369 0.596810i
\(700\) 11.6490 32.6183i 0.440290 1.23286i
\(701\) 17.0117i 0.642524i 0.946990 + 0.321262i \(0.104107\pi\)
−0.946990 + 0.321262i \(0.895893\pi\)
\(702\) 18.2617 16.7145i 0.689243 0.630849i
\(703\) 29.0300 1.09489
\(704\) −6.98303 35.7896i −0.263183 1.34887i
\(705\) −10.5673 2.03534i −0.397989 0.0766555i
\(706\) 4.59488 + 50.7501i 0.172930 + 1.91000i
\(707\) −12.3454 + 14.7127i −0.464298 + 0.553329i
\(708\) −16.3173 0.158135i −0.613243 0.00594307i
\(709\) −0.200362 + 0.550490i −0.00752475 + 0.0206741i −0.943398 0.331662i \(-0.892391\pi\)
0.935873 + 0.352336i \(0.114613\pi\)
\(710\) 3.26004 + 12.0210i 0.122347 + 0.451140i
\(711\) 2.46635 0.810698i 0.0924955 0.0304036i
\(712\) −3.26215 11.7468i −0.122254 0.440231i
\(713\) −28.2352 + 23.6921i −1.05742 + 0.887277i
\(714\) 48.3938 + 4.85479i 1.81109 + 0.181686i
\(715\) 11.9659 + 2.10990i 0.447498 + 0.0789059i
\(716\) −13.2247 10.9611i −0.494229 0.409635i
\(717\) 6.70145 + 2.55931i 0.250270 + 0.0955792i
\(718\) 9.72161 + 20.6844i 0.362807 + 0.771934i
\(719\) −20.6296 + 35.7316i −0.769356 + 1.33256i 0.168557 + 0.985692i \(0.446089\pi\)
−0.937913 + 0.346872i \(0.887244\pi\)
\(720\) 5.96133 + 7.39073i 0.222166 + 0.275436i
\(721\) −7.47833 12.9529i −0.278508 0.482390i
\(722\) 24.8358 35.6986i 0.924291 1.32856i
\(723\) 16.8141 28.0921i 0.625324 1.04476i
\(724\) −21.6762 + 8.03842i −0.805591 + 0.298746i
\(725\) 5.04547 + 13.8623i 0.187384 + 0.514833i
\(726\) −19.7885 + 13.4843i −0.734421 + 0.500450i
\(727\) 1.56785 + 8.89170i 0.0581482 + 0.329775i 0.999980 0.00630954i \(-0.00200840\pi\)
−0.941832 + 0.336084i \(0.890897\pi\)
\(728\) 26.9186 + 26.4342i 0.997671 + 0.979717i
\(729\) −11.2343 24.5518i −0.416084 0.909326i
\(730\) −2.85936 0.756895i −0.105830 0.0280139i
\(731\) 28.1444 4.96262i 1.04096 0.183549i
\(732\) 17.9139 6.32422i 0.662118 0.233750i
\(733\) −4.19617 11.5289i −0.154989 0.425829i 0.837759 0.546040i \(-0.183865\pi\)
−0.992748 + 0.120211i \(0.961643\pi\)
\(734\) −23.7100 + 16.7091i −0.875152 + 0.616744i
\(735\) 10.2038 + 6.10736i 0.376373 + 0.225273i
\(736\) −26.0081 1.87932i −0.958673 0.0692726i
\(737\) −12.4065 21.4888i −0.457001 0.791548i
\(738\) 8.08185 + 0.939495i 0.297497 + 0.0345833i
\(739\) 0.280828 + 0.162136i 0.0103304 + 0.00596427i 0.505156 0.863028i \(-0.331435\pi\)
−0.494826 + 0.868992i \(0.664768\pi\)
\(740\) 6.40744 1.16984i 0.235542 0.0430041i
\(741\) −38.4487 14.6837i −1.41245 0.539420i
\(742\) 4.59649 9.93560i 0.168742 0.364748i
\(743\) 2.52359 14.3120i 0.0925816 0.525056i −0.902880 0.429893i \(-0.858551\pi\)
0.995462 0.0951637i \(-0.0303374\pi\)
\(744\) 31.9375 + 22.6815i 1.17088 + 0.831546i
\(745\) 6.59497 5.53383i 0.241621 0.202744i
\(746\) 26.0674 26.2257i 0.954396 0.960190i
\(747\) 0.0465685 + 0.141673i 0.00170385 + 0.00518356i
\(748\) 45.7152 0.276727i 1.67151 0.0101181i
\(749\) −8.72545 + 23.9730i −0.318821 + 0.875954i
\(750\) 4.47882 + 17.6079i 0.163544 + 0.642950i
\(751\) 29.4541 + 24.7149i 1.07480 + 0.901861i 0.995478 0.0949883i \(-0.0302814\pi\)
0.0793178 + 0.996849i \(0.474726\pi\)
\(752\) −24.3030 19.8963i −0.886239 0.725542i
\(753\) −5.38982 1.03812i −0.196416 0.0378311i
\(754\) −16.0118 1.35203i −0.583115 0.0492381i
\(755\) 14.1423i 0.514692i
\(756\) 36.4514 19.0892i 1.32572 0.694269i
\(757\) 18.0723i 0.656850i −0.944530 0.328425i \(-0.893482\pi\)
0.944530 0.328425i \(-0.106518\pi\)
\(758\) −0.831806 + 9.85089i −0.0302125 + 0.357800i
\(759\) 11.9069 + 34.3890i 0.432192 + 1.24824i
\(760\) 6.54126 14.3669i 0.237276 0.521143i
\(761\) −28.4100 23.8388i −1.02986 0.864157i −0.0390275 0.999238i \(-0.512426\pi\)
−0.990835 + 0.135081i \(0.956870\pi\)
\(762\) −11.6901 + 41.5093i −0.423489 + 1.50372i
\(763\) 2.52594 6.93996i 0.0914451 0.251243i
\(764\) 0.280000 + 46.2559i 0.0101300 + 1.67348i
\(765\) −10.4918 + 5.62466i −0.379331 + 0.203360i
\(766\) −10.2728 10.2108i −0.371171 0.368931i
\(767\) 12.1568 10.2007i 0.438956 0.368328i
\(768\) 5.04323 + 27.2501i 0.181982 + 0.983302i
\(769\) 3.69811 20.9730i 0.133357 0.756307i −0.842632 0.538490i \(-0.818995\pi\)
0.975989 0.217818i \(-0.0698938\pi\)
\(770\) 18.3290 + 8.47950i 0.660530 + 0.305580i
\(771\) −6.22164 + 5.05582i −0.224067 + 0.182081i
\(772\) 5.19086 0.947722i 0.186823 0.0341093i
\(773\) 21.7593 + 12.5627i 0.782627 + 0.451850i