Properties

Label 483.2.bf.a.61.3
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.3
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.96199 - 1.54292i) q^{2} +(0.814576 + 0.580057i) q^{3} +(0.997264 + 4.11078i) q^{4} +(2.33608 - 0.450242i) q^{5} +(-0.703204 - 2.39489i) q^{6} +(-0.792487 + 2.52427i) q^{7} +(2.31225 - 5.06312i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(-1.96199 - 1.54292i) q^{2} +(0.814576 + 0.580057i) q^{3} +(0.997264 + 4.11078i) q^{4} +(2.33608 - 0.450242i) q^{5} +(-0.703204 - 2.39489i) q^{6} +(-0.792487 + 2.52427i) q^{7} +(2.31225 - 5.06312i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-5.27804 - 2.72102i) q^{10} +(3.31117 + 4.21049i) q^{11} +(-1.57214 + 3.92701i) q^{12} +(-1.53274 - 2.38499i) q^{13} +(5.44962 - 3.72985i) q^{14} +(2.16408 + 0.988301i) q^{15} +(-4.82905 + 2.48955i) q^{16} +(-2.09340 - 1.99605i) q^{17} +(0.816362 - 2.35872i) q^{18} +(-5.86014 + 5.58763i) q^{19} +(4.18053 + 9.15408i) q^{20} +(-2.10976 + 1.59653i) q^{21} -13.3698i q^{22} +(2.72136 + 3.94895i) q^{23} +(4.82040 - 2.78306i) q^{24} +(0.612696 - 0.245286i) q^{25} +(-0.672642 + 7.04422i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(-11.1671 - 0.740371i) q^{28} +(-2.12886 + 0.625088i) q^{29} +(-2.72102 - 5.27804i) q^{30} +(0.694028 + 7.26819i) q^{31} +(2.38465 + 0.459604i) q^{32} +(0.254872 + 5.35043i) q^{33} +(1.02747 + 7.14618i) q^{34} +(-0.714777 + 6.25371i) q^{35} +(-3.55852 + 2.28692i) q^{36} +(2.18048 - 0.754670i) q^{37} +(20.1188 - 1.92111i) q^{38} +(0.134897 - 2.83183i) q^{39} +(3.12196 - 12.8689i) q^{40} +(4.41413 - 3.82487i) q^{41} +(6.60265 + 0.122842i) q^{42} +(6.34454 - 2.89746i) q^{43} +(-14.0063 + 17.8104i) q^{44} +(1.18953 + 2.06033i) q^{45} +(0.753663 - 11.9466i) q^{46} +(-6.81760 - 3.93614i) q^{47} +(-5.37770 - 0.773197i) q^{48} +(-5.74393 - 4.00091i) q^{49} +(-1.58056 - 0.464095i) q^{50} +(-0.547408 - 2.84022i) q^{51} +(8.27562 - 8.67922i) q^{52} +(12.7881 + 0.609171i) q^{53} +(2.03318 - 1.44782i) q^{54} +(9.63088 + 8.34520i) q^{55} +(10.9483 + 9.84921i) q^{56} +(-8.01467 + 1.15234i) q^{57} +(5.14125 + 2.05825i) q^{58} +(4.16774 - 8.08428i) q^{59} +(-1.90453 + 9.88164i) q^{60} +(-1.35718 - 1.90589i) q^{61} +(9.85260 - 15.3309i) q^{62} +(-2.64464 + 0.0767083i) q^{63} +(3.14620 + 3.63091i) q^{64} +(-4.65442 - 4.88141i) q^{65} +(7.75526 - 10.8907i) q^{66} +(0.407416 + 1.01768i) q^{67} +(6.11765 - 10.5961i) q^{68} +(-0.0738644 + 4.79526i) q^{69} +(11.0514 - 11.1669i) q^{70} +(0.579695 - 4.03187i) q^{71} +(5.54092 + 0.529093i) q^{72} +(2.69359 - 0.653459i) q^{73} +(-5.44247 - 1.88366i) q^{74} +(0.641367 + 0.155594i) q^{75} +(-28.8136 - 18.5174i) q^{76} +(-13.2525 + 5.02154i) q^{77} +(-4.63397 + 5.34788i) q^{78} +(7.83299 - 0.373131i) q^{79} +(-10.1601 + 7.99001i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(-14.5620 + 0.693672i) q^{82} +(0.179297 - 0.206920i) q^{83} +(-8.66696 - 7.08062i) q^{84} +(-5.78904 - 3.72039i) q^{85} +(-16.9185 - 4.10438i) q^{86} +(-2.09670 - 0.725675i) q^{87} +(28.9745 - 7.02913i) q^{88} +(14.6127 + 1.39535i) q^{89} +(0.845088 - 5.87772i) q^{90} +(7.23504 - 1.97898i) q^{91} +(-13.5194 + 15.1250i) q^{92} +(-3.65063 + 6.32307i) q^{93} +(7.30288 + 18.2417i) q^{94} +(-11.1739 + 15.6916i) q^{95} +(1.67588 + 1.75762i) q^{96} +(5.61961 + 6.48538i) q^{97} +(5.09641 + 16.7122i) q^{98} +(-2.89594 + 4.50617i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.96199 1.54292i −1.38734 1.09101i −0.984431 0.175770i \(-0.943758\pi\)
−0.402904 0.915242i \(-0.631999\pi\)
\(3\) 0.814576 + 0.580057i 0.470296 + 0.334896i
\(4\) 0.997264 + 4.11078i 0.498632 + 2.05539i
\(5\) 2.33608 0.450242i 1.04473 0.201354i 0.362112 0.932134i \(-0.382056\pi\)
0.682613 + 0.730780i \(0.260844\pi\)
\(6\) −0.703204 2.39489i −0.287082 0.977712i
\(7\) −0.792487 + 2.52427i −0.299532 + 0.954086i
\(8\) 2.31225 5.06312i 0.817504 1.79008i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −5.27804 2.72102i −1.66906 0.860462i
\(11\) 3.31117 + 4.21049i 0.998355 + 1.26951i 0.962820 + 0.270143i \(0.0870708\pi\)
0.0355342 + 0.999368i \(0.488687\pi\)
\(12\) −1.57214 + 3.92701i −0.453837 + 1.13363i
\(13\) −1.53274 2.38499i −0.425105 0.661477i 0.560958 0.827844i \(-0.310433\pi\)
−0.986064 + 0.166367i \(0.946796\pi\)
\(14\) 5.44962 3.72985i 1.45647 0.996844i
\(15\) 2.16408 + 0.988301i 0.558762 + 0.255178i
\(16\) −4.82905 + 2.48955i −1.20726 + 0.622387i
\(17\) −2.09340 1.99605i −0.507723 0.484113i 0.392372 0.919807i \(-0.371655\pi\)
−0.900095 + 0.435694i \(0.856503\pi\)
\(18\) 0.816362 2.35872i 0.192418 0.555956i
\(19\) −5.86014 + 5.58763i −1.34441 + 1.28189i −0.416473 + 0.909148i \(0.636734\pi\)
−0.927935 + 0.372743i \(0.878417\pi\)
\(20\) 4.18053 + 9.15408i 0.934795 + 2.04692i
\(21\) −2.10976 + 1.59653i −0.460388 + 0.348391i
\(22\) 13.3698i 2.85046i
\(23\) 2.72136 + 3.94895i 0.567442 + 0.823413i
\(24\) 4.82040 2.78306i 0.983960 0.568090i
\(25\) 0.612696 0.245286i 0.122539 0.0490573i
\(26\) −0.672642 + 7.04422i −0.131916 + 1.38149i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) −11.1671 0.740371i −2.11037 0.139917i
\(29\) −2.12886 + 0.625088i −0.395318 + 0.116076i −0.473349 0.880875i \(-0.656955\pi\)
0.0780305 + 0.996951i \(0.475137\pi\)
\(30\) −2.72102 5.27804i −0.496788 0.963635i
\(31\) 0.694028 + 7.26819i 0.124651 + 1.30541i 0.813952 + 0.580931i \(0.197312\pi\)
−0.689301 + 0.724475i \(0.742082\pi\)
\(32\) 2.38465 + 0.459604i 0.421551 + 0.0812473i
\(33\) 0.254872 + 5.35043i 0.0443676 + 0.931390i
\(34\) 1.02747 + 7.14618i 0.176209 + 1.22556i
\(35\) −0.714777 + 6.25371i −0.120819 + 1.05707i
\(36\) −3.55852 + 2.28692i −0.593086 + 0.381153i
\(37\) 2.18048 0.754670i 0.358468 0.124067i −0.141897 0.989881i \(-0.545320\pi\)
0.500365 + 0.865814i \(0.333199\pi\)
\(38\) 20.1188 1.92111i 3.26370 0.311646i
\(39\) 0.134897 2.83183i 0.0216008 0.453456i
\(40\) 3.12196 12.8689i 0.493626 2.03475i
\(41\) 4.41413 3.82487i 0.689372 0.597344i −0.238099 0.971241i \(-0.576524\pi\)
0.927470 + 0.373897i \(0.121979\pi\)
\(42\) 6.60265 + 0.122842i 1.01881 + 0.0189550i
\(43\) 6.34454 2.89746i 0.967534 0.441858i 0.131972 0.991254i \(-0.457869\pi\)
0.835562 + 0.549396i \(0.185142\pi\)
\(44\) −14.0063 + 17.8104i −2.11153 + 2.68503i
\(45\) 1.18953 + 2.06033i 0.177325 + 0.307137i
\(46\) 0.753663 11.9466i 0.111122 1.76144i
\(47\) −6.81760 3.93614i −0.994450 0.574146i −0.0878482 0.996134i \(-0.527999\pi\)
−0.906601 + 0.421988i \(0.861332\pi\)
\(48\) −5.37770 0.773197i −0.776205 0.111601i
\(49\) −5.74393 4.00091i −0.820561 0.571559i
\(50\) −1.58056 0.464095i −0.223525 0.0656329i
\(51\) −0.547408 2.84022i −0.0766525 0.397711i
\(52\) 8.27562 8.67922i 1.14762 1.20359i
\(53\) 12.7881 + 0.609171i 1.75658 + 0.0836761i 0.900952 0.433919i \(-0.142870\pi\)
0.855626 + 0.517595i \(0.173173\pi\)
\(54\) 2.03318 1.44782i 0.276681 0.197024i
\(55\) 9.63088 + 8.34520i 1.29863 + 1.12527i
\(56\) 10.9483 + 9.84921i 1.46303 + 1.31616i
\(57\) −8.01467 + 1.15234i −1.06157 + 0.152631i
\(58\) 5.14125 + 2.05825i 0.675080 + 0.270261i
\(59\) 4.16774 8.08428i 0.542593 1.05248i −0.445012 0.895525i \(-0.646801\pi\)
0.987605 0.156959i \(-0.0501690\pi\)
\(60\) −1.90453 + 9.88164i −0.245874 + 1.27571i
\(61\) −1.35718 1.90589i −0.173769 0.244024i 0.718502 0.695525i \(-0.244828\pi\)
−0.892271 + 0.451501i \(0.850889\pi\)
\(62\) 9.85260 15.3309i 1.25128 1.94703i
\(63\) −2.64464 + 0.0767083i −0.333193 + 0.00966433i
\(64\) 3.14620 + 3.63091i 0.393275 + 0.453863i
\(65\) −4.65442 4.88141i −0.577310 0.605465i
\(66\) 7.75526 10.8907i 0.954606 1.34056i
\(67\) 0.407416 + 1.01768i 0.0497738 + 0.124329i 0.951171 0.308664i \(-0.0998818\pi\)
−0.901397 + 0.432993i \(0.857458\pi\)
\(68\) 6.11765 10.5961i 0.741874 1.28496i
\(69\) −0.0738644 + 4.79526i −0.00889222 + 0.577282i
\(70\) 11.0514 11.1669i 1.32089 1.33470i
\(71\) 0.579695 4.03187i 0.0687972 0.478495i −0.926074 0.377343i \(-0.876838\pi\)
0.994871 0.101152i \(-0.0322530\pi\)
\(72\) 5.54092 + 0.529093i 0.653003 + 0.0623543i
\(73\) 2.69359 0.653459i 0.315261 0.0764816i −0.0750062 0.997183i \(-0.523898\pi\)
0.390268 + 0.920701i \(0.372383\pi\)
\(74\) −5.44247 1.88366i −0.632674 0.218971i
\(75\) 0.641367 + 0.155594i 0.0740587 + 0.0179665i
\(76\) −28.8136 18.5174i −3.30515 2.12409i
\(77\) −13.2525 + 5.02154i −1.51026 + 0.572257i
\(78\) −4.63397 + 5.34788i −0.524694 + 0.605529i
\(79\) 7.83299 0.373131i 0.881281 0.0419806i 0.397938 0.917412i \(-0.369726\pi\)
0.483342 + 0.875432i \(0.339423\pi\)
\(80\) −10.1601 + 7.99001i −1.13594 + 0.893310i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) −14.5620 + 0.693672i −1.60810 + 0.0766032i
\(83\) 0.179297 0.206920i 0.0196804 0.0227124i −0.745824 0.666143i \(-0.767944\pi\)
0.765504 + 0.643431i \(0.222489\pi\)
\(84\) −8.66696 7.08062i −0.945643 0.772559i
\(85\) −5.78904 3.72039i −0.627909 0.403533i
\(86\) −16.9185 4.10438i −1.82437 0.442587i
\(87\) −2.09670 0.725675i −0.224790 0.0778006i
\(88\) 28.9745 7.02913i 3.08869 0.749308i
\(89\) 14.6127 + 1.39535i 1.54895 + 0.147907i 0.834194 0.551470i \(-0.185933\pi\)
0.714753 + 0.699377i \(0.246539\pi\)
\(90\) 0.845088 5.87772i 0.0890801 0.619566i
\(91\) 7.23504 1.97898i 0.758439 0.207454i
\(92\) −13.5194 + 15.1250i −1.40949 + 1.57689i
\(93\) −3.65063 + 6.32307i −0.378552 + 0.655672i
\(94\) 7.30288 + 18.2417i 0.753235 + 1.88149i
\(95\) −11.1739 + 15.6916i −1.14642 + 1.60993i
\(96\) 1.67588 + 1.75762i 0.171044 + 0.179386i
\(97\) 5.61961 + 6.48538i 0.570585 + 0.658490i 0.965554 0.260204i \(-0.0837899\pi\)
−0.394968 + 0.918695i \(0.629244\pi\)
\(98\) 5.09641 + 16.7122i 0.514816 + 1.68819i
\(99\) −2.89594 + 4.50617i −0.291053 + 0.452887i
\(100\) 1.61934 + 2.27404i 0.161934 + 0.227404i
\(101\) −0.876860 + 4.54958i −0.0872508 + 0.452700i 0.911859 + 0.410505i \(0.134647\pi\)
−0.999109 + 0.0421957i \(0.986565\pi\)
\(102\) −3.30824 + 6.41709i −0.327565 + 0.635387i
\(103\) −2.50045 1.00103i −0.246377 0.0986345i 0.245187 0.969476i \(-0.421151\pi\)
−0.491564 + 0.870841i \(0.663575\pi\)
\(104\) −15.6196 + 2.24575i −1.53162 + 0.220214i
\(105\) −4.20975 + 4.67951i −0.410829 + 0.456673i
\(106\) −24.1502 20.9262i −2.34567 2.03254i
\(107\) 7.89231 5.62009i 0.762978 0.543314i −0.131023 0.991379i \(-0.541826\pi\)
0.894001 + 0.448065i \(0.147887\pi\)
\(108\) −4.22523 0.201272i −0.406572 0.0193674i
\(109\) −13.5620 + 14.2234i −1.29901 + 1.36236i −0.404992 + 0.914320i \(0.632726\pi\)
−0.894014 + 0.448039i \(0.852123\pi\)
\(110\) −6.01965 31.2329i −0.573951 2.97794i
\(111\) 2.21391 + 0.650064i 0.210135 + 0.0617013i
\(112\) −2.45734 14.1628i −0.232197 1.33826i
\(113\) −9.86358 1.41817i −0.927887 0.133410i −0.338230 0.941064i \(-0.609828\pi\)
−0.589657 + 0.807654i \(0.700737\pi\)
\(114\) 17.5027 + 10.1052i 1.63927 + 0.946436i
\(115\) 8.13528 + 7.99978i 0.758619 + 0.745984i
\(116\) −4.69263 8.12787i −0.435700 0.754654i
\(117\) 1.75251 2.22849i 0.162019 0.206024i
\(118\) −20.6505 + 9.43076i −1.90103 + 0.868172i
\(119\) 6.69757 3.70246i 0.613965 0.339404i
\(120\) 10.0078 8.67179i 0.913581 0.791622i
\(121\) −4.17106 + 17.1934i −0.379188 + 1.56303i
\(122\) −0.277877 + 5.83336i −0.0251578 + 0.528128i
\(123\) 5.81429 0.555197i 0.524257 0.0500604i
\(124\) −29.1858 + 10.1013i −2.62096 + 0.907124i
\(125\) −8.68614 + 5.58224i −0.776912 + 0.499291i
\(126\) 5.30711 + 3.92998i 0.472795 + 0.350110i
\(127\) −0.835891 5.81375i −0.0741733 0.515887i −0.992708 0.120546i \(-0.961536\pi\)
0.918534 0.395341i \(-0.129374\pi\)
\(128\) −0.801698 16.8297i −0.0708608 1.48755i
\(129\) 6.84880 + 1.32000i 0.603003 + 0.116219i
\(130\) 1.60026 + 16.7587i 0.140352 + 1.46983i
\(131\) −4.04037 7.83722i −0.353009 0.684741i 0.643746 0.765239i \(-0.277379\pi\)
−0.996755 + 0.0804979i \(0.974349\pi\)
\(132\) −21.7403 + 6.38352i −1.89225 + 0.555614i
\(133\) −9.46063 19.2207i −0.820341 1.66665i
\(134\) 0.770852 2.62528i 0.0665915 0.226790i
\(135\) −0.226145 + 2.36830i −0.0194635 + 0.203831i
\(136\) −14.9467 + 5.98375i −1.28167 + 0.513103i
\(137\) 8.53634 4.92846i 0.729309 0.421067i −0.0888605 0.996044i \(-0.528323\pi\)
0.818169 + 0.574977i \(0.194989\pi\)
\(138\) 7.54365 9.29428i 0.642158 0.791182i
\(139\) 1.77991i 0.150970i 0.997147 + 0.0754850i \(0.0240505\pi\)
−0.997147 + 0.0754850i \(0.975949\pi\)
\(140\) −26.4204 + 3.29831i −2.23293 + 0.278758i
\(141\) −3.27027 7.16089i −0.275406 0.603055i
\(142\) −7.35823 + 7.01606i −0.617489 + 0.588774i
\(143\) 4.96682 14.3507i 0.415346 1.20006i
\(144\) −3.93205 3.74920i −0.327671 0.312434i
\(145\) −4.69173 + 2.41875i −0.389627 + 0.200867i
\(146\) −6.29304 2.87393i −0.520816 0.237849i
\(147\) −2.35811 6.59085i −0.194494 0.543604i
\(148\) 5.27679 + 8.21085i 0.433750 + 0.674928i
\(149\) 4.78377 11.9493i 0.391902 0.978924i −0.592905 0.805272i \(-0.702019\pi\)
0.984807 0.173651i \(-0.0555566\pi\)
\(150\) −1.01829 1.29486i −0.0831427 0.105725i
\(151\) −6.33983 3.26841i −0.515928 0.265980i 0.180539 0.983568i \(-0.442216\pi\)
−0.696468 + 0.717588i \(0.745246\pi\)
\(152\) 14.7407 + 42.5906i 1.19563 + 3.45455i
\(153\) 1.20159 2.63111i 0.0971424 0.212712i
\(154\) 33.7491 + 10.5954i 2.71958 + 0.853803i
\(155\) 4.89375 + 16.6666i 0.393075 + 1.33869i
\(156\) 11.7756 2.26955i 0.942799 0.181710i
\(157\) −4.96844 20.4802i −0.396525 1.63450i −0.724116 0.689678i \(-0.757752\pi\)
0.327592 0.944819i \(-0.393763\pi\)
\(158\) −15.9440 11.3536i −1.26843 0.903247i
\(159\) 10.0635 + 7.91403i 0.798088 + 0.627623i
\(160\) 5.77766 0.456764
\(161\) −12.1249 + 3.73996i −0.955574 + 0.294750i
\(162\) 2.49600 0.196104
\(163\) 1.31504 + 1.03416i 0.103002 + 0.0810014i 0.668332 0.743863i \(-0.267009\pi\)
−0.565330 + 0.824865i \(0.691251\pi\)
\(164\) 20.1252 + 14.3311i 1.57152 + 1.11907i
\(165\) 3.00439 + 12.3843i 0.233891 + 0.964113i
\(166\) −0.671040 + 0.129332i −0.0520828 + 0.0100381i
\(167\) −1.94311 6.61761i −0.150362 0.512086i 0.849518 0.527559i \(-0.176893\pi\)
−0.999880 + 0.0154731i \(0.995075\pi\)
\(168\) 3.20510 + 14.3736i 0.247279 + 1.10894i
\(169\) 2.06151 4.51408i 0.158578 0.347237i
\(170\) 5.61775 + 16.2314i 0.430862 + 1.24489i
\(171\) −7.19698 3.71030i −0.550367 0.283734i
\(172\) 18.2380 + 23.1915i 1.39063 + 1.76833i
\(173\) 1.50837 3.76772i 0.114679 0.286454i −0.859913 0.510440i \(-0.829483\pi\)
0.974592 + 0.223986i \(0.0719068\pi\)
\(174\) 2.99404 + 4.65882i 0.226978 + 0.353184i
\(175\) 0.133617 + 1.74100i 0.0101005 + 0.131607i
\(176\) −26.4720 12.0894i −1.99540 0.911270i
\(177\) 8.08428 4.16774i 0.607652 0.313266i
\(178\) −26.5171 25.2840i −1.98754 1.89512i
\(179\) −1.80164 + 5.20548i −0.134661 + 0.389076i −0.992091 0.125525i \(-0.959939\pi\)
0.857430 + 0.514601i \(0.172060\pi\)
\(180\) −7.28330 + 6.94461i −0.542865 + 0.517621i
\(181\) 6.85320 + 15.0064i 0.509394 + 1.11542i 0.973301 + 0.229534i \(0.0737201\pi\)
−0.463907 + 0.885884i \(0.653553\pi\)
\(182\) −17.2485 7.28039i −1.27854 0.539658i
\(183\) 2.33973i 0.172958i
\(184\) 26.2865 4.64760i 1.93786 0.342626i
\(185\) 4.75397 2.74471i 0.349519 0.201795i
\(186\) 16.9185 6.77315i 1.24053 0.496632i
\(187\) 1.47276 15.4235i 0.107699 1.12788i
\(188\) 9.38167 31.9510i 0.684229 2.33027i
\(189\) −2.19875 1.47156i −0.159936 0.107040i
\(190\) 46.1341 13.5462i 3.34692 0.982745i
\(191\) −9.47226 18.3736i −0.685389 1.32947i −0.932743 0.360543i \(-0.882591\pi\)
0.247354 0.968925i \(-0.420439\pi\)
\(192\) 0.456685 + 4.78262i 0.0329584 + 0.345156i
\(193\) 24.9440 + 4.80757i 1.79551 + 0.346056i 0.974419 0.224739i \(-0.0721528\pi\)
0.821092 + 0.570795i \(0.193365\pi\)
\(194\) −1.01916 21.3949i −0.0731717 1.53606i
\(195\) −0.959880 6.67611i −0.0687384 0.478086i
\(196\) 10.7186 27.6020i 0.765618 1.97157i
\(197\) −7.95545 + 5.11266i −0.566803 + 0.364262i −0.792440 0.609949i \(-0.791190\pi\)
0.225638 + 0.974211i \(0.427553\pi\)
\(198\) 12.6345 4.37284i 0.897894 0.310764i
\(199\) −17.9955 + 1.71836i −1.27567 + 0.121812i −0.710815 0.703379i \(-0.751674\pi\)
−0.564854 + 0.825191i \(0.691067\pi\)
\(200\) 0.174791 3.66932i 0.0123596 0.259460i
\(201\) −0.258439 + 1.06530i −0.0182289 + 0.0751404i
\(202\) 8.74005 7.57330i 0.614948 0.532855i
\(203\) 0.109196 5.86919i 0.00766406 0.411936i
\(204\) 11.1296 5.08273i 0.779229 0.355862i
\(205\) 8.58963 10.9226i 0.599926 0.762868i
\(206\) 3.36135 + 5.82203i 0.234196 + 0.405640i
\(207\) −2.84169 + 3.86326i −0.197511 + 0.268515i
\(208\) 13.3392 + 7.70140i 0.924908 + 0.533996i
\(209\) −42.9306 6.17249i −2.96957 0.426960i
\(210\) 15.4796 2.68582i 1.06819 0.185339i
\(211\) 20.2973 + 5.95981i 1.39732 + 0.410290i 0.891763 0.452502i \(-0.149469\pi\)
0.505558 + 0.862793i \(0.331287\pi\)
\(212\) 10.2489 + 53.1765i 0.703899 + 3.65217i
\(213\) 2.81092 2.94801i 0.192601 0.201994i
\(214\) −24.1560 1.15069i −1.65127 0.0786597i
\(215\) 13.5168 9.62526i 0.921837 0.656437i
\(216\) 4.20659 + 3.64503i 0.286222 + 0.248013i
\(217\) −18.8969 4.00803i −1.28281 0.272083i
\(218\) 48.5542 6.98105i 3.28851 0.472816i
\(219\) 2.57318 + 1.03015i 0.173879 + 0.0696108i
\(220\) −24.7008 + 47.9128i −1.66532 + 3.23028i
\(221\) −1.55193 + 8.05215i −0.104394 + 0.541646i
\(222\) −3.34068 4.69132i −0.224211 0.314861i
\(223\) 3.25911 5.07127i 0.218246 0.339598i −0.714816 0.699312i \(-0.753490\pi\)
0.933062 + 0.359715i \(0.117126\pi\)
\(224\) −3.04997 + 5.65529i −0.203785 + 0.377860i
\(225\) 0.432189 + 0.498773i 0.0288126 + 0.0332515i
\(226\) 17.1641 + 18.0012i 1.14174 + 1.19742i
\(227\) −10.8938 + 15.2981i −0.723044 + 1.01537i 0.275493 + 0.961303i \(0.411159\pi\)
−0.998537 + 0.0540702i \(0.982781\pi\)
\(228\) −12.7297 31.7974i −0.843048 2.10583i
\(229\) 5.37068 9.30229i 0.354904 0.614712i −0.632197 0.774807i \(-0.717847\pi\)
0.987102 + 0.160095i \(0.0511801\pi\)
\(230\) −3.61826 28.2476i −0.238581 1.86259i
\(231\) −13.7079 3.59678i −0.901916 0.236651i
\(232\) −1.75755 + 12.2240i −0.115389 + 0.802546i
\(233\) −7.28847 0.695965i −0.477484 0.0455942i −0.146460 0.989217i \(-0.546788\pi\)
−0.331024 + 0.943622i \(0.607394\pi\)
\(234\) −6.87680 + 1.66829i −0.449550 + 0.109060i
\(235\) −17.6987 6.12557i −1.15453 0.399588i
\(236\) 37.3890 + 9.07048i 2.43382 + 0.590438i
\(237\) 6.59701 + 4.23964i 0.428522 + 0.275394i
\(238\) −18.8532 3.06965i −1.22207 0.198976i
\(239\) −0.461334 + 0.532408i −0.0298412 + 0.0344386i −0.770474 0.637471i \(-0.779980\pi\)
0.740633 + 0.671910i \(0.234526\pi\)
\(240\) −12.9109 + 0.615020i −0.833392 + 0.0396994i
\(241\) 5.32305 4.18609i 0.342888 0.269650i −0.431833 0.901954i \(-0.642133\pi\)
0.774721 + 0.632304i \(0.217891\pi\)
\(242\) 34.7116 27.2975i 2.23135 1.75475i
\(243\) −0.998867 + 0.0475819i −0.0640774 + 0.00305238i
\(244\) 6.48123 7.47974i 0.414918 0.478841i
\(245\) −15.2196 6.76028i −0.972347 0.431898i
\(246\) −12.2642 7.88172i −0.781936 0.502520i
\(247\) 22.3085 + 5.41199i 1.41946 + 0.344356i
\(248\) 38.4045 + 13.2919i 2.43869 + 0.844039i
\(249\) 0.266076 0.0645494i 0.0168619 0.00409065i
\(250\) 25.6551 + 2.44976i 1.62257 + 0.154937i
\(251\) −3.24504 + 22.5698i −0.204825 + 1.42459i 0.584887 + 0.811114i \(0.301139\pi\)
−0.789713 + 0.613477i \(0.789770\pi\)
\(252\) −2.95273 10.7950i −0.186005 0.680023i
\(253\) −7.61616 + 24.5339i −0.478824 + 1.54243i
\(254\) −7.33017 + 12.6962i −0.459936 + 0.796632i
\(255\) −2.55757 6.38851i −0.160162 0.400064i
\(256\) −18.8204 + 26.4296i −1.17628 + 1.65185i
\(257\) −14.5472 15.2566i −0.907428 0.951683i 0.0915988 0.995796i \(-0.470802\pi\)
−0.999027 + 0.0441131i \(0.985954\pi\)
\(258\) −11.4006 13.1570i −0.709771 0.819120i
\(259\) 0.176995 + 6.10219i 0.0109979 + 0.379171i
\(260\) 15.4247 24.0013i 0.956601 1.48850i
\(261\) −1.28699 1.80732i −0.0796626 0.111871i
\(262\) −4.16509 + 21.6105i −0.257320 + 1.33510i
\(263\) 8.76955 17.0106i 0.540754 1.04892i −0.447239 0.894414i \(-0.647593\pi\)
0.987993 0.154501i \(-0.0493770\pi\)
\(264\) 27.6792 + 11.0811i 1.70354 + 0.681994i
\(265\) 30.1482 4.33466i 1.85199 0.266276i
\(266\) −11.0945 + 52.3079i −0.680247 + 3.20720i
\(267\) 11.0938 + 9.61284i 0.678930 + 0.588296i
\(268\) −3.77714 + 2.68969i −0.230726 + 0.164299i
\(269\) 8.25626 + 0.393294i 0.503393 + 0.0239796i 0.297743 0.954646i \(-0.403766\pi\)
0.205650 + 0.978626i \(0.434069\pi\)
\(270\) 4.09780 4.29765i 0.249384 0.261546i
\(271\) 0.594997 + 3.08714i 0.0361435 + 0.187530i 0.995513 0.0946213i \(-0.0301640\pi\)
−0.959370 + 0.282152i \(0.908952\pi\)
\(272\) 15.0784 + 4.42741i 0.914260 + 0.268451i
\(273\) 7.04142 + 2.58471i 0.426166 + 0.156434i
\(274\) −24.3524 3.50135i −1.47118 0.211524i
\(275\) 3.06152 + 1.76757i 0.184616 + 0.106588i
\(276\) −19.7859 + 4.47850i −1.19097 + 0.269574i
\(277\) 5.14192 + 8.90607i 0.308948 + 0.535114i 0.978133 0.207983i \(-0.0666898\pi\)
−0.669185 + 0.743096i \(0.733356\pi\)
\(278\) 2.74627 3.49216i 0.164710 0.209446i
\(279\) −6.64146 + 3.03305i −0.397614 + 0.181584i
\(280\) 30.0106 + 18.0791i 1.79347 + 1.08044i
\(281\) −11.9616 + 10.3648i −0.713570 + 0.618312i −0.934076 0.357073i \(-0.883775\pi\)
0.220506 + 0.975386i \(0.429229\pi\)
\(282\) −4.63248 + 19.0954i −0.275860 + 1.13711i
\(283\) −0.170449 + 3.57817i −0.0101322 + 0.212700i 0.988124 + 0.153662i \(0.0491065\pi\)
−0.998256 + 0.0590386i \(0.981196\pi\)
\(284\) 17.1522 1.63784i 1.01780 0.0971879i
\(285\) −18.2041 + 6.30049i −1.07832 + 0.373209i
\(286\) −31.8869 + 20.4924i −1.88551 + 1.21174i
\(287\) 6.15687 + 14.1736i 0.363429 + 0.836644i
\(288\) 0.345617 + 2.40382i 0.0203657 + 0.141646i
\(289\) −0.410797 8.62370i −0.0241646 0.507276i
\(290\) 12.9371 + 2.49342i 0.759691 + 0.146418i
\(291\) 0.815712 + 8.54253i 0.0478179 + 0.500772i
\(292\) 5.37245 + 10.4211i 0.314399 + 0.609849i
\(293\) 21.6904 6.36888i 1.26717 0.372074i 0.422010 0.906591i \(-0.361325\pi\)
0.845158 + 0.534517i \(0.179507\pi\)
\(294\) −5.54261 + 16.5696i −0.323251 + 0.966356i
\(295\) 6.09627 20.7620i 0.354938 1.20881i
\(296\) 1.22082 12.7850i 0.0709587 0.743113i
\(297\) −4.97280 + 1.99081i −0.288551 + 0.115518i
\(298\) −27.8226 + 16.0634i −1.61172 + 0.930525i
\(299\) 5.24707 12.5431i 0.303446 0.725387i
\(300\) 2.79169i 0.161178i
\(301\) 2.28601 + 18.3116i 0.131763 + 1.05546i
\(302\) 7.39577 + 16.1945i 0.425579 + 0.931887i
\(303\) −3.35329 + 3.19735i −0.192641 + 0.183683i
\(304\) 14.3882 41.5720i 0.825221 2.38432i
\(305\) −4.02859 3.84125i −0.230676 0.219949i
\(306\) −6.41709 + 3.30824i −0.366841 + 0.189120i
\(307\) −7.23146 3.30250i −0.412721 0.188483i 0.198223 0.980157i \(-0.436483\pi\)
−0.610944 + 0.791673i \(0.709210\pi\)
\(308\) −33.8587 49.4703i −1.92928 2.81883i
\(309\) −1.45616 2.26582i −0.0828378 0.128898i
\(310\) 16.1138 40.2503i 0.915202 2.28606i
\(311\) −6.79735 8.64354i −0.385442 0.490130i 0.554154 0.832414i \(-0.313042\pi\)
−0.939596 + 0.342284i \(0.888799\pi\)
\(312\) −14.0260 7.23090i −0.794065 0.409369i
\(313\) −1.54466 4.46300i −0.0873093 0.252264i 0.892891 0.450273i \(-0.148673\pi\)
−0.980200 + 0.198010i \(0.936552\pi\)
\(314\) −21.8514 + 47.8478i −1.23314 + 2.70021i
\(315\) −6.14354 + 1.36992i −0.346149 + 0.0771864i
\(316\) 9.34542 + 31.8276i 0.525721 + 1.79044i
\(317\) 15.0078 2.89252i 0.842922 0.162460i 0.250529 0.968109i \(-0.419395\pi\)
0.592393 + 0.805649i \(0.298183\pi\)
\(318\) −7.53373 31.0545i −0.422471 1.74145i
\(319\) −9.68092 6.89376i −0.542028 0.385976i
\(320\) 8.98454 + 7.06552i 0.502251 + 0.394975i
\(321\) 9.68886 0.540779
\(322\) 29.5594 + 11.3700i 1.64728 + 0.633626i
\(323\) 23.4208 1.30317
\(324\) −3.32502 2.61482i −0.184723 0.145268i
\(325\) −1.52411 1.08531i −0.0845423 0.0602023i
\(326\) −0.984462 4.05801i −0.0545243 0.224752i
\(327\) −19.2977 + 3.71933i −1.06717 + 0.205679i
\(328\) −9.15919 31.1933i −0.505732 1.72236i
\(329\) 15.3388 14.0902i 0.845654 0.776816i
\(330\) 13.2134 28.9333i 0.727374 1.59273i
\(331\) −6.28867 18.1699i −0.345657 0.998709i −0.975120 0.221679i \(-0.928846\pi\)
0.629463 0.777030i \(-0.283275\pi\)
\(332\) 1.02941 + 0.530696i 0.0564961 + 0.0291258i
\(333\) 1.42633 + 1.81372i 0.0781623 + 0.0993914i
\(334\) −6.39813 + 15.9817i −0.350090 + 0.874482i
\(335\) 1.40996 + 2.19393i 0.0770341 + 0.119867i
\(336\) 6.21353 12.9621i 0.338976 0.707138i
\(337\) −7.25406 3.31282i −0.395154 0.180461i 0.207921 0.978146i \(-0.433330\pi\)
−0.603074 + 0.797685i \(0.706058\pi\)
\(338\) −11.0096 + 5.67582i −0.598841 + 0.308724i
\(339\) −7.21201 6.87664i −0.391703 0.373488i
\(340\) 9.52050 27.5077i 0.516321 1.49181i
\(341\) −28.3046 + 26.9884i −1.53278 + 1.46150i
\(342\) 8.39568 + 18.3840i 0.453986 + 0.994091i
\(343\) 14.6514 11.3286i 0.791101 0.611686i
\(344\) 38.8228i 2.09319i
\(345\) 1.98648 + 11.2354i 0.106948 + 0.604891i
\(346\) −8.77271 + 5.06492i −0.471624 + 0.272292i
\(347\) −8.19278 + 3.27990i −0.439812 + 0.176074i −0.580991 0.813910i \(-0.697335\pi\)
0.141179 + 0.989984i \(0.454911\pi\)
\(348\) 0.892126 9.34276i 0.0478230 0.500825i
\(349\) 3.56222 12.1318i 0.190681 0.649401i −0.807542 0.589811i \(-0.799202\pi\)
0.998223 0.0595902i \(-0.0189794\pi\)
\(350\) 2.42408 3.62198i 0.129572 0.193603i
\(351\) 2.72020 0.798724i 0.145194 0.0426327i
\(352\) 5.96082 + 11.5624i 0.317713 + 0.616277i
\(353\) −0.818856 8.57545i −0.0435833 0.456425i −0.990752 0.135688i \(-0.956676\pi\)
0.947168 0.320737i \(-0.103931\pi\)
\(354\) −22.2918 4.29639i −1.18479 0.228350i
\(355\) −0.461104 9.67976i −0.0244728 0.513748i
\(356\) 8.83680 + 61.4613i 0.468349 + 3.25744i
\(357\) 7.60332 + 0.869032i 0.402410 + 0.0459941i
\(358\) 11.5665 7.43331i 0.611306 0.392863i
\(359\) −18.4970 + 6.40186i −0.976233 + 0.337877i −0.768176 0.640239i \(-0.778835\pi\)
−0.208057 + 0.978117i \(0.566714\pi\)
\(360\) 13.1822 1.25875i 0.694764 0.0663419i
\(361\) 2.21555 46.5101i 0.116608 2.44790i
\(362\) 9.70787 40.0164i 0.510234 2.10321i
\(363\) −13.3708 + 11.5858i −0.701784 + 0.608099i
\(364\) 15.3504 + 27.7681i 0.804580 + 1.45544i
\(365\) 5.99823 2.73930i 0.313962 0.143381i
\(366\) −3.61003 + 4.59053i −0.188700 + 0.239951i
\(367\) 0.967942 + 1.67653i 0.0505262 + 0.0875139i 0.890182 0.455604i \(-0.150577\pi\)
−0.839656 + 0.543118i \(0.817244\pi\)
\(368\) −22.9727 12.2947i −1.19753 0.640907i
\(369\) 5.05822 + 2.92037i 0.263321 + 0.152028i
\(370\) −13.5621 1.94994i −0.705061 0.101372i
\(371\) −11.6721 + 31.7979i −0.605986 + 1.65086i
\(372\) −29.6334 8.70115i −1.53642 0.451134i
\(373\) −3.88233 20.1435i −0.201020 1.04299i −0.932512 0.361139i \(-0.882388\pi\)
0.731493 0.681849i \(-0.238824\pi\)
\(374\) −26.6868 + 27.9883i −1.37994 + 1.44724i
\(375\) −10.3135 0.491294i −0.532589 0.0253703i
\(376\) −35.6932 + 25.4170i −1.84074 + 1.31078i
\(377\) 4.75381 + 4.11920i 0.244834 + 0.212150i
\(378\) 2.04343 + 6.27969i 0.105103 + 0.322992i
\(379\) 0.427136 0.0614129i 0.0219405 0.00315457i −0.131336 0.991338i \(-0.541927\pi\)
0.153276 + 0.988183i \(0.451018\pi\)
\(380\) −75.6481 30.2849i −3.88067 1.55358i
\(381\) 2.69141 5.22060i 0.137885 0.267460i
\(382\) −9.76465 + 50.6638i −0.499603 + 2.59219i
\(383\) −4.53124 6.36324i −0.231536 0.325146i 0.682420 0.730960i \(-0.260928\pi\)
−0.913956 + 0.405814i \(0.866988\pi\)
\(384\) 9.10915 14.1741i 0.464849 0.723320i
\(385\) −28.6979 + 17.6975i −1.46258 + 0.901949i
\(386\) −41.5222 47.9192i −2.11342 2.43902i
\(387\) 4.81320 + 5.04793i 0.244668 + 0.256601i
\(388\) −21.0557 + 29.5686i −1.06894 + 1.50112i
\(389\) −2.79041 6.97011i −0.141480 0.353399i 0.840657 0.541568i \(-0.182169\pi\)
−0.982137 + 0.188169i \(0.939745\pi\)
\(390\) −8.41746 + 14.5795i −0.426235 + 0.738260i
\(391\) 2.18542 13.6987i 0.110522 0.692772i
\(392\) −33.5385 + 19.8311i −1.69395 + 1.00162i
\(393\) 1.25485 8.72766i 0.0632987 0.440252i
\(394\) 23.4970 + 2.24369i 1.18376 + 0.113035i
\(395\) 18.1305 4.39840i 0.912243 0.221308i
\(396\) −21.4119 7.41073i −1.07599 0.372403i
\(397\) −28.0243 6.79861i −1.40650 0.341213i −0.540535 0.841322i \(-0.681778\pi\)
−0.865962 + 0.500109i \(0.833293\pi\)
\(398\) 37.9583 + 24.3943i 1.90268 + 1.22278i
\(399\) 3.44271 21.1444i 0.172351 1.05855i
\(400\) −2.34809 + 2.70984i −0.117404 + 0.135492i
\(401\) 32.7008 1.55773i 1.63300 0.0777895i 0.789092 0.614275i \(-0.210551\pi\)
0.843910 + 0.536485i \(0.180248\pi\)
\(402\) 2.15073 1.69135i 0.107269 0.0843570i
\(403\) 16.2708 12.7955i 0.810506 0.637389i
\(404\) −19.5768 + 0.932557i −0.973982 + 0.0463965i
\(405\) −1.55796 + 1.79798i −0.0774156 + 0.0893424i
\(406\) −9.26996 + 11.3468i −0.460060 + 0.563132i
\(407\) 10.3975 + 6.68204i 0.515383 + 0.331216i
\(408\) −15.6461 3.79571i −0.774599 0.187916i
\(409\) 4.84170 + 1.67573i 0.239406 + 0.0828594i 0.444137 0.895959i \(-0.353510\pi\)
−0.204730 + 0.978818i \(0.565632\pi\)
\(410\) −33.7055 + 8.17687i −1.66460 + 0.403827i
\(411\) 9.81228 + 0.936959i 0.484004 + 0.0462168i
\(412\) 1.62140 11.2771i 0.0798808 0.555583i
\(413\) 17.1041 + 16.9272i 0.841636 + 0.832933i
\(414\) 11.5361 3.19515i 0.566968 0.157033i
\(415\) 0.325687 0.564107i 0.0159874 0.0276909i
\(416\) −2.55890 6.39182i −0.125460 0.313385i
\(417\) −1.03245 + 1.44987i −0.0505593 + 0.0710006i
\(418\) 74.7056 + 78.3490i 3.65397 + 3.83217i
\(419\) 11.8588 + 13.6858i 0.579342 + 0.668596i 0.967463 0.253012i \(-0.0814212\pi\)
−0.388121 + 0.921608i \(0.626876\pi\)
\(420\) −23.4347 12.6386i −1.14349 0.616702i
\(421\) −1.98662 + 3.09124i −0.0968220 + 0.150658i −0.886285 0.463140i \(-0.846723\pi\)
0.789463 + 0.613798i \(0.210359\pi\)
\(422\) −30.6274 43.0102i −1.49092 2.09371i
\(423\) 1.48984 7.73003i 0.0724385 0.375847i
\(424\) 32.6535 63.3390i 1.58580 3.07602i
\(425\) −1.77222 0.709490i −0.0859653 0.0344153i
\(426\) −10.0635 + 1.44692i −0.487580 + 0.0701035i
\(427\) 5.88654 1.91550i 0.284870 0.0926975i
\(428\) 30.9737 + 26.8388i 1.49717 + 1.29730i
\(429\) 12.3701 8.80868i 0.597232 0.425287i
\(430\) −41.3708 1.97074i −1.99508 0.0950373i
\(431\) 18.1569 19.0424i 0.874586 0.917239i −0.122581 0.992459i \(-0.539117\pi\)
0.997167 + 0.0752191i \(0.0239656\pi\)
\(432\) −1.02820 5.33482i −0.0494694 0.256672i
\(433\) −30.8798 9.06712i −1.48399 0.435738i −0.563371 0.826204i \(-0.690496\pi\)
−0.920617 + 0.390466i \(0.872314\pi\)
\(434\) 30.8915 + 37.0203i 1.48284 + 1.77703i
\(435\) −5.22478 0.751210i −0.250509 0.0360178i
\(436\) −71.9943 41.5660i −3.44790 1.99065i
\(437\) −38.0128 7.93546i −1.81840 0.379605i
\(438\) −3.45911 5.99136i −0.165283 0.286278i
\(439\) −1.61642 + 2.05545i −0.0771475 + 0.0981011i −0.823095 0.567904i \(-0.807755\pi\)
0.745947 + 0.666005i \(0.231997\pi\)
\(440\) 64.5218 29.4661i 3.07596 1.40474i
\(441\) 1.90221 6.73659i 0.0905814 0.320790i
\(442\) 15.4687 13.4037i 0.735772 0.637550i
\(443\) −2.84706 + 11.7357i −0.135268 + 0.557582i 0.863330 + 0.504640i \(0.168375\pi\)
−0.998598 + 0.0529414i \(0.983140\pi\)
\(444\) −0.464412 + 9.74920i −0.0220400 + 0.462676i
\(445\) 34.7647 3.31963i 1.64801 0.157365i
\(446\) −14.2189 + 4.92122i −0.673286 + 0.233026i
\(447\) 10.8280 6.95874i 0.512147 0.329137i
\(448\) −11.6587 + 5.06442i −0.550823 + 0.239271i
\(449\) 4.89102 + 34.0178i 0.230821 + 1.60540i 0.694566 + 0.719429i \(0.255597\pi\)
−0.463744 + 0.885969i \(0.653494\pi\)
\(450\) −0.0783811 1.64542i −0.00369492 0.0775659i
\(451\) 30.7205 + 5.92089i 1.44657 + 0.278804i
\(452\) −4.00681 41.9613i −0.188465 1.97369i
\(453\) −3.26841 6.33983i −0.153563 0.297871i
\(454\) 44.9773 13.2065i 2.11089 0.619813i
\(455\) 16.0106 7.88057i 0.750588 0.369447i
\(456\) −12.6975 + 43.2437i −0.594615 + 2.02507i
\(457\) −1.65088 + 17.2888i −0.0772247 + 0.808734i 0.871031 + 0.491227i \(0.163452\pi\)
−0.948256 + 0.317507i \(0.897154\pi\)
\(458\) −24.8899 + 9.96443i −1.16303 + 0.465607i
\(459\) 2.50497 1.44625i 0.116922 0.0675050i
\(460\) −24.7723 + 41.4202i −1.15502 + 1.93123i
\(461\) 9.30329i 0.433297i 0.976250 + 0.216649i \(0.0695126\pi\)
−0.976250 + 0.216649i \(0.930487\pi\)
\(462\) 21.3453 + 28.2072i 0.993071 + 1.31232i
\(463\) 9.09328 + 19.9115i 0.422600 + 0.925366i 0.994470 + 0.105021i \(0.0334910\pi\)
−0.571870 + 0.820345i \(0.693782\pi\)
\(464\) 8.72416 8.31847i 0.405009 0.386175i
\(465\) −5.68123 + 16.4148i −0.263461 + 0.761220i
\(466\) 13.2261 + 12.6110i 0.612686 + 0.584195i
\(467\) −8.09580 + 4.17367i −0.374629 + 0.193135i −0.635250 0.772307i \(-0.719103\pi\)
0.260621 + 0.965441i \(0.416073\pi\)
\(468\) 10.9086 + 4.98177i 0.504248 + 0.230282i
\(469\) −2.89177 + 0.221935i −0.133529 + 0.0102480i
\(470\) 25.2733 + 39.3260i 1.16577 + 1.81397i
\(471\) 7.83250 19.5646i 0.360903 0.901491i
\(472\) −31.2948 39.7946i −1.44046 1.83170i
\(473\) 33.2076 + 17.1197i 1.52689 + 0.787164i
\(474\) −6.40181 18.4968i −0.294045 0.849586i
\(475\) −2.21991 + 4.86093i −0.101857 + 0.223035i
\(476\) 21.8993 + 23.8399i 1.00375 + 1.09270i
\(477\) 3.60690 + 12.2840i 0.165149 + 0.562445i
\(478\) 1.72660 0.332774i 0.0789727 0.0152207i
\(479\) 0.962956 + 3.96936i 0.0439986 + 0.181365i 0.989571 0.144048i \(-0.0460119\pi\)
−0.945572 + 0.325413i \(0.894497\pi\)
\(480\) 4.70635 + 3.35137i 0.214814 + 0.152969i
\(481\) −5.14198 4.04370i −0.234454 0.184377i
\(482\) −16.9026 −0.769892
\(483\) −12.0460 3.98664i −0.548113 0.181398i
\(484\) −74.8377 −3.40172
\(485\) 16.0478 + 12.6202i 0.728694 + 0.573052i
\(486\) 2.03318 + 1.44782i 0.0922270 + 0.0656745i
\(487\) 8.74133 + 36.0322i 0.396107 + 1.63278i 0.725242 + 0.688494i \(0.241728\pi\)
−0.329135 + 0.944283i \(0.606757\pi\)
\(488\) −12.7879 + 2.46467i −0.578881 + 0.111570i
\(489\) 0.471328 + 1.60520i 0.0213142 + 0.0725894i
\(490\) 19.4301 + 36.7463i 0.877764 + 1.66003i
\(491\) −11.4298 + 25.0277i −0.515819 + 1.12949i 0.455180 + 0.890400i \(0.349575\pi\)
−0.970998 + 0.239086i \(0.923152\pi\)
\(492\) 8.08067 + 23.3476i 0.364305 + 1.05259i
\(493\) 5.70424 + 2.94074i 0.256906 + 0.132444i
\(494\) −35.4187 45.0386i −1.59356 2.02638i
\(495\) −4.73627 + 11.8306i −0.212880 + 0.531748i
\(496\) −21.4460 33.3706i −0.962954 1.49839i
\(497\) 9.71815 + 4.65852i 0.435918 + 0.208963i
\(498\) −0.621633 0.283890i −0.0278561 0.0127214i
\(499\) −1.77939 + 0.917340i −0.0796565 + 0.0410658i −0.497594 0.867410i \(-0.665783\pi\)
0.417938 + 0.908476i \(0.362753\pi\)
\(500\) −31.6097 30.1398i −1.41363 1.34789i
\(501\) 2.25578 6.51766i 0.100781 0.291188i
\(502\) 41.1902 39.2748i 1.83841 1.75292i
\(503\) −17.6180 38.5779i −0.785546 1.72011i −0.688982 0.724778i \(-0.741942\pi\)
−0.0965635 0.995327i \(-0.530785\pi\)
\(504\) −5.72668 + 13.5675i −0.255087 + 0.604344i
\(505\) 11.0230i 0.490516i
\(506\) 52.7968 36.3841i 2.34710 1.61747i
\(507\) 4.29768 2.48127i 0.190867 0.110197i
\(508\) 23.0654 9.23400i 1.02336 0.409693i
\(509\) 1.33529 13.9838i 0.0591859 0.619822i −0.916409 0.400243i \(-0.868926\pi\)
0.975595 0.219579i \(-0.0704684\pi\)
\(510\) −4.83906 + 16.4803i −0.214277 + 0.729761i
\(511\) −0.485129 + 7.31723i −0.0214609 + 0.323695i
\(512\) 45.3718 13.3224i 2.00517 0.588771i
\(513\) −3.71030 7.19698i −0.163814 0.317754i
\(514\) 5.00154 + 52.3785i 0.220609 + 2.31032i
\(515\) −6.29196 1.21268i −0.277257 0.0534369i
\(516\) 1.40384 + 29.4703i 0.0618008 + 1.29736i
\(517\) −6.00112 41.7387i −0.263929 1.83567i
\(518\) 9.06795 12.2455i 0.398423 0.538037i
\(519\) 3.41417 2.19415i 0.149865 0.0963127i
\(520\) −35.4774 + 12.2788i −1.55579 + 0.538463i
\(521\) 11.7924 1.12604i 0.516635 0.0493327i 0.166518 0.986038i \(-0.446748\pi\)
0.350118 + 0.936706i \(0.386142\pi\)
\(522\) −0.263506 + 5.53168i −0.0115334 + 0.242115i
\(523\) −3.43842 + 14.1734i −0.150352 + 0.619758i 0.845907 + 0.533331i \(0.179060\pi\)
−0.996258 + 0.0864267i \(0.972455\pi\)
\(524\) 28.1878 24.4248i 1.23139 1.06700i
\(525\) −0.901038 + 1.49568i −0.0393245 + 0.0652769i
\(526\) −43.4518 + 19.8438i −1.89459 + 0.865229i
\(527\) 13.0548 16.6005i 0.568676 0.723130i
\(528\) −14.5509 25.2030i −0.633248 1.09682i
\(529\) −8.18843 + 21.4930i −0.356019 + 0.934479i
\(530\) −65.8385 38.0119i −2.85984 1.65113i
\(531\) 9.00278 + 1.29440i 0.390688 + 0.0561724i
\(532\) 69.5774 58.0587i 3.01656 2.51716i
\(533\) −15.8880 4.66513i −0.688185 0.202069i
\(534\) −6.93403 35.9772i −0.300065 1.55689i
\(535\) 15.9066 16.6824i 0.687704 0.721243i
\(536\) 6.09467 + 0.290325i 0.263250 + 0.0125401i
\(537\) −4.48704 + 3.19521i −0.193630 + 0.137883i
\(538\) −15.5919 13.5104i −0.672213 0.582476i
\(539\) −2.17330 37.4324i −0.0936106 1.61233i
\(540\) −9.96107 + 1.43219i −0.428656 + 0.0616315i
\(541\) −26.8975 10.7681i −1.15641 0.462958i −0.287431 0.957801i \(-0.592801\pi\)
−0.868982 + 0.494844i \(0.835225\pi\)
\(542\) 3.59585 6.97497i 0.154455 0.299600i
\(543\) −3.12212 + 16.1991i −0.133983 + 0.695170i
\(544\) −4.07463 5.72202i −0.174698 0.245329i
\(545\) −25.2779 + 39.3332i −1.08279 + 1.68485i
\(546\) −9.82717 15.9355i −0.420564 0.681978i
\(547\) −11.2335 12.9641i −0.480309 0.554307i 0.462941 0.886389i \(-0.346794\pi\)
−0.943250 + 0.332083i \(0.892249\pi\)
\(548\) 28.7728 + 30.1760i 1.22911 + 1.28906i
\(549\) 1.35718 1.90589i 0.0579230 0.0813415i
\(550\) −3.27944 8.19163i −0.139836 0.349292i
\(551\) 8.98262 15.5584i 0.382673 0.662808i
\(552\) 24.1082 + 11.4618i 1.02611 + 0.487848i
\(553\) −5.26566 + 20.0683i −0.223919 + 0.853392i
\(554\) 3.65300 25.4072i 0.155201 1.07945i
\(555\) 5.46456 + 0.521802i 0.231958 + 0.0221493i
\(556\) −7.31682 + 1.77504i −0.310302 + 0.0752785i
\(557\) 2.41546 + 0.835998i 0.102346 + 0.0354224i 0.377761 0.925903i \(-0.376694\pi\)
−0.275415 + 0.961325i \(0.588815\pi\)
\(558\) 17.7102 + 4.29646i 0.749734 + 0.181883i
\(559\) −16.6349 10.6906i −0.703583 0.452165i
\(560\) −12.1172 31.9789i −0.512046 1.35136i
\(561\) 10.1462 11.7093i 0.428372 0.494368i
\(562\) 39.4607 1.87974i 1.66455 0.0792922i
\(563\) 18.8136 14.7952i 0.792898 0.623542i −0.137329 0.990525i \(-0.543852\pi\)
0.930227 + 0.366983i \(0.119609\pi\)
\(564\) 26.1755 20.5846i 1.10219 0.866770i
\(565\) −23.6806 + 1.12805i −0.996250 + 0.0474572i
\(566\) 5.85527 6.75734i 0.246115 0.284032i
\(567\) −0.937466 2.47410i −0.0393699 0.103902i
\(568\) −19.0734 12.2578i −0.800304 0.514324i
\(569\) −14.8217 3.59571i −0.621359 0.150740i −0.0872926 0.996183i \(-0.527821\pi\)
−0.534066 + 0.845443i \(0.679337\pi\)
\(570\) 45.4373 + 15.7260i 1.90316 + 0.658690i
\(571\) 31.7817 7.71016i 1.33002 0.322660i 0.493097 0.869974i \(-0.335865\pi\)
0.836927 + 0.547314i \(0.184350\pi\)
\(572\) 63.9457 + 6.10608i 2.67371 + 0.255308i
\(573\) 2.94187 20.4612i 0.122898 0.854777i
\(574\) 9.78915 37.3081i 0.408591 1.55721i
\(575\) 2.63599 + 1.75199i 0.109928 + 0.0730632i
\(576\) −2.40219 + 4.16071i −0.100091 + 0.173363i
\(577\) 0.890784 + 2.22507i 0.0370838 + 0.0926309i 0.945754 0.324884i \(-0.105325\pi\)
−0.908670 + 0.417515i \(0.862901\pi\)
\(578\) −12.4997 + 17.5534i −0.519921 + 0.730126i
\(579\) 17.5302 + 18.3851i 0.728528 + 0.764059i
\(580\) −14.6219 16.8745i −0.607139 0.700676i
\(581\) 0.380232 + 0.616576i 0.0157747 + 0.0255799i
\(582\) 11.5801 18.0189i 0.480009 0.746908i
\(583\) 39.7786 + 55.8612i 1.64746 + 2.31353i
\(584\) 2.91972 15.1490i 0.120819 0.626868i
\(585\) 3.09063 5.99498i 0.127782 0.247862i
\(586\) −52.3830 20.9710i −2.16392 0.866304i
\(587\) 19.5469 2.81042i 0.806788 0.115999i 0.273434 0.961891i \(-0.411840\pi\)
0.533354 + 0.845892i \(0.320931\pi\)
\(588\) 24.7419 16.2665i 1.02034 0.670818i
\(589\) −44.6791 38.7147i −1.84097 1.59521i
\(590\) −43.9950 + 31.3287i −1.81125 + 1.28978i
\(591\) −9.44595 0.449966i −0.388555 0.0185091i
\(592\) −8.65083 + 9.07273i −0.355547 + 0.372887i
\(593\) 8.19730 + 42.5316i 0.336623 + 1.74657i 0.617267 + 0.786753i \(0.288240\pi\)
−0.280645 + 0.959812i \(0.590548\pi\)
\(594\) 12.8282 + 3.76671i 0.526349 + 0.154550i
\(595\) 13.9790 11.6648i 0.573084 0.478209i
\(596\) 53.8916 + 7.74844i 2.20748 + 0.317388i
\(597\) −15.6555 9.03869i −0.640736 0.369929i
\(598\) −29.6478 + 16.5136i −1.21239 + 0.675292i
\(599\) 22.9879 + 39.8161i 0.939259 + 1.62684i 0.766858 + 0.641817i \(0.221819\pi\)
0.172401 + 0.985027i \(0.444848\pi\)
\(600\) 2.27079 2.88755i 0.0927048 0.117884i
\(601\) −26.0380 + 11.8911i −1.06211 + 0.485050i −0.868326 0.495994i \(-0.834804\pi\)
−0.193785 + 0.981044i \(0.562076\pi\)
\(602\) 23.7683 39.4542i 0.968722 1.60803i
\(603\) −0.828452 + 0.717858i −0.0337372 + 0.0292334i
\(604\) 7.11323 29.3211i 0.289433 1.19306i
\(605\) −2.00275 + 42.0430i −0.0814235 + 1.70929i
\(606\) 11.5124 1.09930i 0.467659 0.0446560i
\(607\) −5.17318 + 1.79046i −0.209973 + 0.0726723i −0.430030 0.902815i \(-0.641497\pi\)
0.220057 + 0.975487i \(0.429376\pi\)
\(608\) −16.5425 + 10.6312i −0.670887 + 0.431153i
\(609\) 3.49341 4.71756i 0.141560 0.191165i
\(610\) 1.97728 + 13.7523i 0.0800578 + 0.556814i
\(611\) 1.06195 + 22.2930i 0.0429617 + 0.901878i
\(612\) 12.0142 + 2.31555i 0.485645 + 0.0936004i
\(613\) 3.12289 + 32.7044i 0.126132 + 1.32092i 0.807888 + 0.589336i \(0.200611\pi\)
−0.681756 + 0.731580i \(0.738783\pi\)
\(614\) 9.09254 + 17.6371i 0.366945 + 0.711774i
\(615\) 13.3326 3.91482i 0.537624 0.157861i
\(616\) −5.21844 + 78.7100i −0.210257 + 3.17132i
\(617\) −1.96930 + 6.70682i −0.0792810 + 0.270006i −0.989588 0.143927i \(-0.954027\pi\)
0.910307 + 0.413933i \(0.135845\pi\)
\(618\) −0.639033 + 6.69225i −0.0257057 + 0.269202i
\(619\) 20.0306 8.01903i 0.805097 0.322312i 0.0676430 0.997710i \(-0.478452\pi\)
0.737454 + 0.675397i \(0.236028\pi\)
\(620\) −63.6323 + 36.7381i −2.55553 + 1.47544i
\(621\) −4.55569 + 1.49857i −0.182813 + 0.0601357i
\(622\) 27.4463i 1.10050i
\(623\) −15.1027 + 35.7808i −0.605075 + 1.43353i
\(624\) 6.39855 + 14.0109i 0.256147 + 0.560884i
\(625\) −20.1663 + 19.2286i −0.806653 + 0.769143i
\(626\) −3.85547 + 11.1396i −0.154095 + 0.445230i
\(627\) −31.3898 29.9301i −1.25359 1.19529i
\(628\) 79.2347 40.8483i 3.16181 1.63003i
\(629\) −6.07096 2.77251i −0.242065 0.110547i
\(630\) 14.1672 + 6.79125i 0.564437 + 0.270570i
\(631\) 25.2022 + 39.2154i 1.00328 + 1.56114i 0.815358 + 0.578957i \(0.196540\pi\)
0.187926 + 0.982183i \(0.439824\pi\)
\(632\) 16.2226 40.5222i 0.645302 1.61189i
\(633\) 13.0766 + 16.6283i 0.519749 + 0.660915i
\(634\) −33.9081 17.4808i −1.34666 0.694252i
\(635\) −4.57030 13.2050i −0.181367 0.524025i
\(636\) −22.4968 + 49.2612i −0.892058 + 1.95333i
\(637\) −0.738187 + 19.8316i −0.0292480 + 0.785755i
\(638\) 8.35732 + 28.4624i 0.330869 + 1.12684i
\(639\) 3.99972 0.770883i 0.158226 0.0304957i
\(640\) −9.45027 38.9545i −0.373555 1.53981i
\(641\) 1.37581 + 0.979710i 0.0543412 + 0.0386962i 0.606905 0.794775i \(-0.292411\pi\)
−0.552564 + 0.833471i \(0.686350\pi\)
\(642\) −19.0094 14.9492i −0.750242 0.589997i
\(643\) 17.0115 0.670867 0.335434 0.942064i \(-0.391117\pi\)
0.335434 + 0.942064i \(0.391117\pi\)
\(644\) −27.4659 46.1130i −1.08231 1.81711i
\(645\) 16.5936 0.653374
\(646\) −45.9513 36.1365i −1.80793 1.42177i
\(647\) 15.7084 + 11.1859i 0.617560 + 0.439762i 0.845546 0.533902i \(-0.179275\pi\)
−0.227987 + 0.973664i \(0.573214\pi\)
\(648\) 1.31226 + 5.40922i 0.0515505 + 0.212494i
\(649\) 47.8389 9.22018i 1.87784 0.361924i
\(650\) 1.31573 + 4.48096i 0.0516071 + 0.175758i
\(651\) −13.0681 14.2261i −0.512179 0.557566i
\(652\) −2.93975 + 6.43715i −0.115129 + 0.252098i
\(653\) −9.07343 26.2160i −0.355071 1.02591i −0.971200 0.238265i \(-0.923421\pi\)
0.616130 0.787645i \(-0.288700\pi\)
\(654\) 43.6005 + 22.4776i 1.70492 + 0.878945i
\(655\) −12.9673 16.4892i −0.506673 0.644287i
\(656\) −11.7939 + 29.4597i −0.460473 + 1.15021i
\(657\) 1.49851 + 2.33172i 0.0584623 + 0.0909692i
\(658\) −51.8346 + 3.97815i −2.02072 + 0.155085i
\(659\) −26.8690 12.2707i −1.04667 0.477998i −0.183557 0.983009i \(-0.558761\pi\)
−0.863113 + 0.505011i \(0.831488\pi\)
\(660\) −47.9128 + 24.7008i −1.86500 + 0.961476i
\(661\) −19.9673 19.0388i −0.776637 0.740522i 0.194018 0.980998i \(-0.437848\pi\)
−0.970655 + 0.240476i \(0.922696\pi\)
\(662\) −15.6965 + 45.3521i −0.610063 + 1.76266i
\(663\) −5.93487 + 5.65888i −0.230491 + 0.219773i
\(664\) −0.633080 1.38625i −0.0245683 0.0537970i
\(665\) −30.7547 40.6415i −1.19262 1.57601i
\(666\) 5.75922i 0.223165i
\(667\) −8.26182 6.70566i −0.319899 0.259644i
\(668\) 25.2657 14.5872i 0.977561 0.564395i
\(669\) 5.59642 2.24047i 0.216370 0.0866215i
\(670\) 0.618758 6.47993i 0.0239047 0.250342i
\(671\) 3.53089 12.0251i 0.136309 0.464225i
\(672\) −5.76482 + 2.83750i −0.222383 + 0.109459i
\(673\) 30.6007 8.98518i 1.17957 0.346353i 0.367562 0.929999i \(-0.380193\pi\)
0.812008 + 0.583646i \(0.198374\pi\)
\(674\) 9.12095 + 17.6922i 0.351326 + 0.681477i
\(675\) 0.0627342 + 0.656983i 0.00241464 + 0.0252873i
\(676\) 20.6123 + 3.97269i 0.792779 + 0.152796i
\(677\) −1.54422 32.4171i −0.0593492 1.24589i −0.810491 0.585751i \(-0.800800\pi\)
0.751142 0.660141i \(-0.229503\pi\)
\(678\) 3.53975 + 24.6195i 0.135943 + 0.945506i
\(679\) −20.8243 + 9.04586i −0.799165 + 0.347148i
\(680\) −32.2225 + 20.7081i −1.23568 + 0.794121i
\(681\) −17.7476 + 6.14250i −0.680089 + 0.235381i
\(682\) 97.1744 9.27903i 3.72100 0.355313i
\(683\) −0.547114 + 11.4853i −0.0209347 + 0.439474i 0.963931 + 0.266153i \(0.0857528\pi\)
−0.984865 + 0.173321i \(0.944550\pi\)
\(684\) 8.07494 33.2853i 0.308753 1.27270i
\(685\) 17.7225 15.3567i 0.677144 0.586748i
\(686\) −46.2250 0.379450i −1.76488 0.0144875i
\(687\) 9.77068 4.46212i 0.372775 0.170240i
\(688\) −23.4247 + 29.7870i −0.893060 + 1.13562i
\(689\) −18.1479 31.4331i −0.691381 1.19751i
\(690\) 13.4379 25.1086i 0.511571 0.955869i
\(691\) 3.90375 + 2.25383i 0.148506 + 0.0857398i 0.572412 0.819966i \(-0.306008\pi\)
−0.423906 + 0.905706i \(0.639341\pi\)
\(692\) 16.9925 + 2.44315i 0.645958 + 0.0928747i
\(693\) −9.07982 10.8812i −0.344914 0.413344i
\(694\) 21.1348 + 6.20573i 0.802265 + 0.235566i
\(695\) 0.801390 + 4.15801i 0.0303985 + 0.157722i
\(696\) −8.52228 + 8.93791i −0.323036 + 0.338791i
\(697\) −16.8752 0.803863i −0.639192 0.0304485i
\(698\) −25.7075 + 18.3062i −0.973043 + 0.692901i
\(699\) −5.53332 4.79465i −0.209289 0.181350i
\(700\) −7.02361 + 2.28550i −0.265468 + 0.0863840i
\(701\) −1.66733 + 0.239726i −0.0629741 + 0.00905431i −0.173730 0.984793i \(-0.555582\pi\)
0.110756 + 0.993848i \(0.464673\pi\)
\(702\) −6.56938 2.62998i −0.247945 0.0992623i
\(703\) −8.56107 + 16.6062i −0.322887 + 0.626313i
\(704\) −4.87031 + 25.2696i −0.183557 + 0.952383i
\(705\) −10.8637 15.2560i −0.409152 0.574573i
\(706\) −11.6247 + 18.0884i −0.437501 + 0.680765i
\(707\) −10.7895 5.81892i −0.405781 0.218843i
\(708\) 25.1948 + 29.0763i 0.946879 + 1.09276i
\(709\) 16.0421 + 16.8245i 0.602475 + 0.631858i 0.952375 0.304929i \(-0.0986328\pi\)
−0.349900 + 0.936787i \(0.613784\pi\)
\(710\) −14.0305 + 19.7030i −0.526554 + 0.739441i
\(711\) 2.91453 + 7.28015i 0.109303 + 0.273027i
\(712\) 40.8531 70.7597i 1.53104 2.65183i
\(713\) −26.8130 + 22.5200i −1.00416 + 0.843382i
\(714\) −13.5768 13.4364i −0.508098 0.502844i
\(715\) 5.14159 35.7606i 0.192285 1.33737i
\(716\) −23.1953 2.21488i −0.866849 0.0827740i
\(717\) −0.684618 + 0.166087i −0.0255675 + 0.00620262i
\(718\) 46.1684 + 15.9791i 1.72299 + 0.596333i
\(719\) −25.8136 6.26230i −0.962683 0.233544i −0.276533 0.961004i \(-0.589186\pi\)
−0.686150 + 0.727460i \(0.740701\pi\)
\(720\) −10.8736 6.98805i −0.405236 0.260429i
\(721\) 4.50846 5.51853i 0.167904 0.205521i
\(722\) −76.1085 + 87.8339i −2.83246 + 3.26884i
\(723\) 6.76420 0.322219i 0.251563 0.0119834i
\(724\) −54.8536 + 43.1373i −2.03862 + 1.60319i
\(725\) −1.15102 + 0.905168i −0.0427476 + 0.0336171i
\(726\) 44.1094 2.10119i 1.63705 0.0779825i
\(727\) 33.5319 38.6979i 1.24363 1.43523i 0.384774 0.923011i \(-0.374279\pi\)
0.858857 0.512216i \(-0.171175\pi\)
\(728\) 6.70941 41.2078i 0.248667 1.52726i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −15.9950 3.88034i −0.592001 0.143618i
\(731\) −19.0651 6.59850i −0.705149 0.244054i
\(732\) 9.61813 2.33333i 0.355496 0.0862425i
\(733\) −33.4650 3.19552i −1.23606 0.118029i −0.543512 0.839401i \(-0.682906\pi\)
−0.692548 + 0.721372i \(0.743512\pi\)
\(734\) 0.687661 4.78279i 0.0253820 0.176536i
\(735\) −8.47620 14.3350i −0.312649 0.528755i
\(736\) 4.67454 + 10.6676i 0.172306 + 0.393214i
\(737\) −2.93590 + 5.08512i −0.108145 + 0.187313i
\(738\) −5.41827 13.5342i −0.199449 0.498200i
\(739\) −9.81130 + 13.7780i −0.360915 + 0.506834i −0.954611 0.297856i \(-0.903729\pi\)
0.593696 + 0.804689i \(0.297668\pi\)
\(740\) 16.0239 + 16.8053i 0.589049 + 0.617776i
\(741\) 15.0327 + 17.3487i 0.552241 + 0.637320i
\(742\) 71.9623 44.3779i 2.64182 1.62916i
\(743\) 7.98368 12.4229i 0.292893 0.455750i −0.663356 0.748304i \(-0.730869\pi\)
0.956249 + 0.292553i \(0.0945049\pi\)
\(744\) 23.5733 + 33.1041i 0.864240 + 1.21365i
\(745\) 5.79519 30.0683i 0.212319 1.10162i
\(746\) −23.4627 + 45.5114i −0.859032 + 1.66629i
\(747\) 0.254182 + 0.101759i 0.00930002 + 0.00372317i
\(748\) 64.8713 9.32708i 2.37193 0.341032i
\(749\) 7.93209 + 24.3762i 0.289832 + 0.890687i
\(750\) 19.4770 + 16.8769i 0.711200 + 0.616258i
\(751\) 26.5625 18.9151i 0.969281 0.690222i 0.0184169 0.999830i \(-0.494137\pi\)
0.950864 + 0.309608i \(0.100198\pi\)
\(752\) 42.7217 + 2.03509i 1.55790 + 0.0742120i
\(753\) −15.7351 + 16.5025i −0.573418 + 0.601384i
\(754\) −2.97130 15.4166i −0.108209 0.561439i
\(755\) −16.2819 4.78080i −0.592559 0.173991i
\(756\) 3.85650 10.5061i 0.140260 0.382104i
\(757\) −21.2393 3.05375i −0.771954 0.110990i −0.254928 0.966960i \(-0.582052\pi\)
−0.517026 + 0.855970i \(0.672961\pi\)
\(758\) −0.932792 0.538548i −0.0338805 0.0195609i
\(759\) −20.4350 + 15.5669i −0.741743 + 0.565043i
\(760\) 53.6116 + 92.8580i 1.94470 + 3.36831i
\(761\) −0.0385367 + 0.0490034i −0.00139695 + 0.00177637i −0.786751 0.617270i \(-0.788238\pi\)
0.785354 + 0.619047i \(0.212481\pi\)
\(762\) −13.3355 + 6.09012i −0.483095 + 0.220622i
\(763\) −25.1561 45.5062i −0.910714 1.64743i
\(764\) 66.0835 57.2617i 2.39082 2.07166i
\(765\) 1.62236 6.68747i 0.0586566 0.241786i
\(766\) −0.927755 + 19.4760i −0.0335212 + 0.703696i
\(767\) −25.6690 + 2.45109i −0.926853 + 0.0885037i
\(768\) −30.6614 + 10.6120i −1.10640 + 0.382928i
\(769\) 12.1218 7.79022i 0.437124 0.280923i −0.303514 0.952827i \(-0.598160\pi\)
0.740638 + 0.671904i \(0.234523\pi\)
\(770\) 83.6110 + 9.55644i 3.01313 + 0.344390i
\(771\) −3.00006 20.8659i −0.108045 0.751466i
\(772\) 5.11294 + 107.334i 0.184019 + 3.86303i
\(773\) −21.4548 4.13508i −0.771677 0.148729i −0.211810 0.977311i \(-0.567936\pi\)