Properties

Label 483.2.bf.a.10.10
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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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 10.10
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.340926 + 0.985040i) q^{2} +(0.458227 + 0.888835i) q^{3} +(0.718033 + 0.564667i) q^{4} +(3.21073 - 0.306587i) q^{5} +(-1.03176 + 0.148345i) q^{6} +(-1.39165 - 2.25018i) q^{7} +(-2.55481 + 1.64188i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.340926 + 0.985040i) q^{2} +(0.458227 + 0.888835i) q^{3} +(0.718033 + 0.564667i) q^{4} +(3.21073 - 0.306587i) q^{5} +(-1.03176 + 0.148345i) q^{6} +(-1.39165 - 2.25018i) q^{7} +(-2.55481 + 1.64188i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.792618 + 3.26722i) q^{10} +(3.42423 - 1.18514i) q^{11} +(-0.172875 + 0.896959i) q^{12} +(1.57190 + 5.35341i) q^{13} +(2.69097 - 0.603691i) q^{14} +(1.74375 + 2.71332i) q^{15} +(-0.315598 - 1.30091i) q^{16} +(-5.14547 - 2.05994i) q^{17} +(-0.604633 - 0.849089i) q^{18} +(3.70419 - 1.48293i) q^{19} +(2.47853 + 1.59285i) q^{20} +(1.36235 - 2.26804i) q^{21} +3.77705i q^{22} +(-0.334412 + 4.78416i) q^{23} +(-2.63004 - 1.51845i) q^{24} +(5.30512 - 1.02248i) q^{25} +(-5.80922 - 0.276727i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(0.271349 - 2.40152i) q^{28} +(-0.591381 - 4.11315i) q^{29} +(-3.26722 + 0.792618i) q^{30} +(6.14466 - 0.292706i) q^{31} +(-4.65727 - 0.444715i) q^{32} +(2.62247 + 2.50052i) q^{33} +(3.78334 - 4.36621i) q^{34} +(-5.15809 - 6.79804i) q^{35} +(-0.876465 + 0.257353i) q^{36} +(-3.45893 - 2.46310i) q^{37} +(0.197896 + 4.15434i) q^{38} +(-4.03801 + 3.85024i) q^{39} +(-7.69941 + 6.05489i) q^{40} +(-5.01471 - 2.29014i) q^{41} +(1.76965 + 2.11520i) q^{42} +(3.31403 - 5.15673i) q^{43} +(3.12792 + 1.08258i) q^{44} +(-1.61267 + 2.79322i) q^{45} +(-4.59858 - 1.96045i) q^{46} +(-9.04873 + 5.22429i) q^{47} +(1.01168 - 0.876627i) q^{48} +(-3.12660 + 6.26294i) q^{49} +(-0.801469 + 5.57434i) q^{50} +(-0.526847 - 5.51739i) q^{51} +(-1.89422 + 4.73153i) q^{52} +(2.89573 + 3.03695i) q^{53} +(0.477641 - 0.926495i) q^{54} +(10.6309 - 4.85498i) q^{55} +(7.24992 + 3.46385i) q^{56} +(3.01544 + 2.61289i) q^{57} +(4.25323 + 0.819743i) q^{58} +(-2.41722 - 0.586410i) q^{59} +(-0.280057 + 2.93289i) q^{60} +(-7.25971 - 3.74264i) q^{61} +(-1.80654 + 6.15252i) q^{62} +(2.64018 + 0.171624i) q^{63} +(3.13803 - 6.87133i) q^{64} +(6.68823 + 16.7064i) q^{65} +(-3.35718 + 1.73074i) q^{66} +(1.76329 + 9.14881i) q^{67} +(-2.53144 - 4.38458i) q^{68} +(-4.40557 + 1.89499i) q^{69} +(8.45487 - 2.76330i) q^{70} +(-4.30912 - 4.97299i) q^{71} +(0.144502 - 3.03347i) q^{72} +(0.956047 - 1.21571i) q^{73} +(3.60549 - 2.56746i) q^{74} +(3.33976 + 4.24685i) q^{75} +(3.49709 + 1.02684i) q^{76} +(-7.43212 - 6.05583i) q^{77} +(-2.41597 - 5.29025i) q^{78} +(6.81420 - 7.14652i) q^{79} +(-1.41214 - 4.08011i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(3.96552 - 4.15892i) q^{82} +(-6.29463 - 13.7833i) q^{83} +(2.25890 - 0.859257i) q^{84} +(-17.1522 - 5.03635i) q^{85} +(3.94974 + 5.02251i) q^{86} +(3.38493 - 2.41039i) q^{87} +(-6.80241 + 8.64997i) q^{88} +(0.436962 - 9.17296i) q^{89} +(-2.20163 - 2.54082i) q^{90} +(9.85858 - 10.9872i) q^{91} +(-2.94158 + 3.24635i) q^{92} +(3.07581 + 5.32746i) q^{93} +(-2.06119 - 10.6944i) q^{94} +(11.4385 - 5.89695i) q^{95} +(-1.73880 - 4.34332i) q^{96} +(5.18238 - 11.3478i) q^{97} +(-5.10330 - 5.21502i) q^{98} +(-1.02086 + 3.47675i) 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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.340926 + 0.985040i −0.241071 + 0.696528i 0.757951 + 0.652311i \(0.226201\pi\)
−0.999022 + 0.0442170i \(0.985921\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) 0.718033 + 0.564667i 0.359017 + 0.282334i
\(5\) 3.21073 0.306587i 1.43588 0.137110i 0.652093 0.758139i \(-0.273891\pi\)
0.783787 + 0.621029i \(0.213285\pi\)
\(6\) −1.03176 + 0.148345i −0.421214 + 0.0605614i
\(7\) −1.39165 2.25018i −0.525996 0.850487i
\(8\) −2.55481 + 1.64188i −0.903262 + 0.580491i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.792618 + 3.26722i −0.250648 + 1.03318i
\(11\) 3.42423 1.18514i 1.03245 0.357333i 0.242267 0.970210i \(-0.422109\pi\)
0.790178 + 0.612877i \(0.209988\pi\)
\(12\) −0.172875 + 0.896959i −0.0499046 + 0.258930i
\(13\) 1.57190 + 5.35341i 0.435967 + 1.48477i 0.825843 + 0.563901i \(0.190700\pi\)
−0.389875 + 0.920868i \(0.627482\pi\)
\(14\) 2.69097 0.603691i 0.719191 0.161343i
\(15\) 1.74375 + 2.71332i 0.450233 + 0.700576i
\(16\) −0.315598 1.30091i −0.0788995 0.325228i
\(17\) −5.14547 2.05994i −1.24796 0.499608i −0.348787 0.937202i \(-0.613406\pi\)
−0.899173 + 0.437594i \(0.855831\pi\)
\(18\) −0.604633 0.849089i −0.142513 0.200132i
\(19\) 3.70419 1.48293i 0.849799 0.340208i 0.0944488 0.995530i \(-0.469891\pi\)
0.755350 + 0.655322i \(0.227467\pi\)
\(20\) 2.47853 + 1.59285i 0.554215 + 0.356173i
\(21\) 1.36235 2.26804i 0.297288 0.494927i
\(22\) 3.77705i 0.805270i
\(23\) −0.334412 + 4.78416i −0.0697297 + 0.997566i
\(24\) −2.63004 1.51845i −0.536855 0.309953i
\(25\) 5.30512 1.02248i 1.06102 0.204496i
\(26\) −5.80922 0.276727i −1.13928 0.0542707i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) 0.271349 2.40152i 0.0512801 0.453845i
\(29\) −0.591381 4.11315i −0.109817 0.763792i −0.968091 0.250600i \(-0.919372\pi\)
0.858274 0.513192i \(-0.171537\pi\)
\(30\) −3.26722 + 0.792618i −0.596509 + 0.144712i
\(31\) 6.14466 0.292706i 1.10361 0.0525715i 0.512144 0.858900i \(-0.328851\pi\)
0.591469 + 0.806328i \(0.298548\pi\)
\(32\) −4.65727 0.444715i −0.823296 0.0786153i
\(33\) 2.62247 + 2.50052i 0.456513 + 0.435284i
\(34\) 3.78334 4.36621i 0.648838 0.748799i
\(35\) −5.15809 6.79804i −0.871877 1.14908i
\(36\) −0.876465 + 0.257353i −0.146077 + 0.0428922i
\(37\) −3.45893 2.46310i −0.568645 0.404931i 0.259252 0.965810i \(-0.416524\pi\)
−0.827898 + 0.560879i \(0.810463\pi\)
\(38\) 0.197896 + 4.15434i 0.0321029 + 0.673923i
\(39\) −4.03801 + 3.85024i −0.646599 + 0.616531i
\(40\) −7.69941 + 6.05489i −1.21738 + 0.957361i
\(41\) −5.01471 2.29014i −0.783166 0.357660i −0.0166306 0.999862i \(-0.505294\pi\)
−0.766536 + 0.642202i \(0.778021\pi\)
\(42\) 1.76965 + 2.11520i 0.273063 + 0.326382i
\(43\) 3.31403 5.15673i 0.505384 0.786393i −0.491017 0.871150i \(-0.663375\pi\)
0.996402 + 0.0847563i \(0.0270112\pi\)
\(44\) 3.12792 + 1.08258i 0.471552 + 0.163206i
\(45\) −1.61267 + 2.79322i −0.240402 + 0.416388i
\(46\) −4.59858 1.96045i −0.678023 0.289053i
\(47\) −9.04873 + 5.22429i −1.31989 + 0.762040i −0.983711 0.179757i \(-0.942469\pi\)
−0.336182 + 0.941797i \(0.609136\pi\)
\(48\) 1.01168 0.876627i 0.146024 0.126530i
\(49\) −3.12660 + 6.26294i −0.446657 + 0.894705i
\(50\) −0.801469 + 5.57434i −0.113345 + 0.788331i
\(51\) −0.526847 5.51739i −0.0737734 0.772590i
\(52\) −1.89422 + 4.73153i −0.262681 + 0.656145i
\(53\) 2.89573 + 3.03695i 0.397759 + 0.417158i 0.891906 0.452221i \(-0.149368\pi\)
−0.494147 + 0.869378i \(0.664520\pi\)
\(54\) 0.477641 0.926495i 0.0649987 0.126080i
\(55\) 10.6309 4.85498i 1.43347 0.654646i
\(56\) 7.24992 + 3.46385i 0.968812 + 0.462877i
\(57\) 3.01544 + 2.61289i 0.399405 + 0.346086i
\(58\) 4.25323 + 0.819743i 0.558477 + 0.107638i
\(59\) −2.41722 0.586410i −0.314695 0.0763441i 0.0753008 0.997161i \(-0.476008\pi\)
−0.389996 + 0.920817i \(0.627523\pi\)
\(60\) −0.280057 + 2.93289i −0.0361552 + 0.378634i
\(61\) −7.25971 3.74264i −0.929510 0.479196i −0.0741602 0.997246i \(-0.523628\pi\)
−0.855350 + 0.518050i \(0.826658\pi\)
\(62\) −1.80654 + 6.15252i −0.229431 + 0.781371i
\(63\) 2.64018 + 0.171624i 0.332631 + 0.0216225i
\(64\) 3.13803 6.87133i 0.392254 0.858916i
\(65\) 6.68823 + 16.7064i 0.829573 + 2.07217i
\(66\) −3.35718 + 1.73074i −0.413240 + 0.213040i
\(67\) 1.76329 + 9.14881i 0.215420 + 1.11771i 0.915093 + 0.403242i \(0.132117\pi\)
−0.699673 + 0.714463i \(0.746671\pi\)
\(68\) −2.53144 4.38458i −0.306982 0.531709i
\(69\) −4.40557 + 1.89499i −0.530368 + 0.228130i
\(70\) 8.45487 2.76330i 1.01055 0.330278i
\(71\) −4.30912 4.97299i −0.511398 0.590185i 0.440058 0.897969i \(-0.354958\pi\)
−0.951456 + 0.307784i \(0.900412\pi\)
\(72\) 0.144502 3.03347i 0.0170297 0.357498i
\(73\) 0.956047 1.21571i 0.111897 0.142288i −0.726878 0.686766i \(-0.759030\pi\)
0.838775 + 0.544478i \(0.183272\pi\)
\(74\) 3.60549 2.56746i 0.419129 0.298461i
\(75\) 3.33976 + 4.24685i 0.385642 + 0.490384i
\(76\) 3.49709 + 1.02684i 0.401144 + 0.117787i
\(77\) −7.43212 6.05583i −0.846969 0.690126i
\(78\) −2.41597 5.29025i −0.273555 0.599003i
\(79\) 6.81420 7.14652i 0.766657 0.804047i −0.218476 0.975842i \(-0.570108\pi\)
0.985133 + 0.171796i \(0.0549569\pi\)
\(80\) −1.41214 4.08011i −0.157882 0.456171i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 3.96552 4.15892i 0.437919 0.459276i
\(83\) −6.29463 13.7833i −0.690926 1.51292i −0.850637 0.525753i \(-0.823784\pi\)
0.159712 0.987164i \(-0.448944\pi\)
\(84\) 2.25890 0.859257i 0.246466 0.0937527i
\(85\) −17.1522 5.03635i −1.86042 0.546269i
\(86\) 3.94974 + 5.02251i 0.425912 + 0.541591i
\(87\) 3.38493 2.41039i 0.362902 0.258421i
\(88\) −6.80241 + 8.64997i −0.725140 + 0.922090i
\(89\) 0.436962 9.17296i 0.0463179 0.972332i −0.849411 0.527732i \(-0.823043\pi\)
0.895729 0.444600i \(-0.146654\pi\)
\(90\) −2.20163 2.54082i −0.232072 0.267826i
\(91\) 9.85858 10.9872i 1.03346 1.15177i
\(92\) −2.94158 + 3.24635i −0.306681 + 0.338456i
\(93\) 3.07581 + 5.32746i 0.318947 + 0.552432i
\(94\) −2.06119 10.6944i −0.212595 1.10305i
\(95\) 11.4385 5.89695i 1.17356 0.605014i
\(96\) −1.73880 4.34332i −0.177466 0.443289i
\(97\) 5.18238 11.3478i 0.526191 1.15220i −0.440851 0.897580i \(-0.645323\pi\)
0.967042 0.254617i \(-0.0819495\pi\)
\(98\) −5.10330 5.21502i −0.515511 0.526797i
\(99\) −1.02086 + 3.47675i −0.102601 + 0.349426i
\(100\) 4.38661 + 2.26145i 0.438661 + 0.226145i
\(101\) 0.498723 5.22287i 0.0496248 0.519695i −0.936147 0.351608i \(-0.885635\pi\)
0.985772 0.168087i \(-0.0537589\pi\)
\(102\) 5.61447 + 1.36206i 0.555915 + 0.134864i
\(103\) 16.1873 + 3.11985i 1.59498 + 0.307408i 0.907905 0.419175i \(-0.137681\pi\)
0.687078 + 0.726583i \(0.258893\pi\)
\(104\) −12.8055 11.0961i −1.25569 1.08806i
\(105\) 3.67876 7.69974i 0.359011 0.751418i
\(106\) −3.97875 + 1.81703i −0.386450 + 0.176486i
\(107\) 3.71036 7.19709i 0.358694 0.695769i −0.638580 0.769555i \(-0.720478\pi\)
0.997274 + 0.0737864i \(0.0235083\pi\)
\(108\) −0.630364 0.661107i −0.0606568 0.0636150i
\(109\) −4.51629 + 11.2811i −0.432582 + 1.08054i 0.538677 + 0.842513i \(0.318924\pi\)
−0.971259 + 0.238026i \(0.923500\pi\)
\(110\) 1.15800 + 12.1271i 0.110410 + 1.15627i
\(111\) 0.604312 4.20308i 0.0573587 0.398939i
\(112\) −2.48808 + 2.52057i −0.235102 + 0.238172i
\(113\) 0.838738 0.726771i 0.0789019 0.0683688i −0.614517 0.788904i \(-0.710649\pi\)
0.693419 + 0.720535i \(0.256104\pi\)
\(114\) −3.60184 + 2.07953i −0.337344 + 0.194765i
\(115\) 0.393056 + 15.4631i 0.0366527 + 1.44195i
\(116\) 1.89793 3.28731i 0.176218 0.305219i
\(117\) −5.27255 1.82485i −0.487448 0.168707i
\(118\) 1.40173 2.18113i 0.129040 0.200789i
\(119\) 2.52549 + 14.4449i 0.231511 + 1.32417i
\(120\) −8.90987 4.06900i −0.813356 0.371447i
\(121\) 1.67424 1.31664i 0.152204 0.119694i
\(122\) 6.16167 5.87514i 0.557851 0.531910i
\(123\) −0.262314 5.50666i −0.0236521 0.496519i
\(124\) 4.57735 + 3.25951i 0.411058 + 0.292713i
\(125\) 1.24639 0.365974i 0.111481 0.0327337i
\(126\) −1.06916 + 2.54217i −0.0952484 + 0.226475i
\(127\) 2.58585 2.98423i 0.229457 0.264807i −0.629333 0.777136i \(-0.716672\pi\)
0.858789 + 0.512329i \(0.171217\pi\)
\(128\) −1.07321 1.02330i −0.0948593 0.0904482i
\(129\) 6.10206 + 0.582676i 0.537256 + 0.0513017i
\(130\) −18.7367 + 0.892537i −1.64331 + 0.0782807i
\(131\) 3.57121 0.866366i 0.312018 0.0756947i −0.0766922 0.997055i \(-0.524436\pi\)
0.388710 + 0.921360i \(0.372921\pi\)
\(132\) 0.471058 + 3.27628i 0.0410003 + 0.285163i
\(133\) −8.49181 6.27135i −0.736333 0.543795i
\(134\) −9.61310 1.38215i −0.830445 0.119400i
\(135\) −3.22168 0.153467i −0.277278 0.0132084i
\(136\) 16.5279 3.18548i 1.41725 0.273153i
\(137\) −3.93685 2.27294i −0.336348 0.194191i 0.322308 0.946635i \(-0.395541\pi\)
−0.658656 + 0.752444i \(0.728875\pi\)
\(138\) −0.364671 4.98571i −0.0310429 0.424412i
\(139\) 5.71712i 0.484920i −0.970161 0.242460i \(-0.922046\pi\)
0.970161 0.242460i \(-0.0779542\pi\)
\(140\) 0.134951 7.79382i 0.0114054 0.658698i
\(141\) −8.78990 5.64892i −0.740243 0.475725i
\(142\) 6.36768 2.54923i 0.534364 0.213927i
\(143\) 11.7271 + 16.4684i 0.980669 + 1.37716i
\(144\) 1.24276 + 0.497525i 0.103563 + 0.0414604i
\(145\) −3.15980 13.0249i −0.262407 1.08166i
\(146\) 0.871585 + 1.35621i 0.0721329 + 0.112241i
\(147\) −6.99941 + 0.0908101i −0.577302 + 0.00748989i
\(148\) −1.09280 3.72173i −0.0898275 0.305924i
\(149\) −3.35148 + 17.3891i −0.274564 + 1.42457i 0.538611 + 0.842555i \(0.318949\pi\)
−0.813175 + 0.582019i \(0.802263\pi\)
\(150\) −5.32193 + 1.84194i −0.434534 + 0.150394i
\(151\) −3.50958 + 14.4667i −0.285606 + 1.17728i 0.630449 + 0.776230i \(0.282871\pi\)
−0.916055 + 0.401053i \(0.868644\pi\)
\(152\) −7.02870 + 9.87043i −0.570103 + 0.800597i
\(153\) 4.66264 2.99650i 0.376952 0.242252i
\(154\) 8.49904 5.25635i 0.684872 0.423568i
\(155\) 19.6391 2.82367i 1.57745 0.226803i
\(156\) −5.07353 + 0.484463i −0.406207 + 0.0387881i
\(157\) 1.21509 + 0.955558i 0.0969748 + 0.0762618i 0.665469 0.746425i \(-0.268231\pi\)
−0.568494 + 0.822687i \(0.692474\pi\)
\(158\) 4.71648 + 9.14869i 0.375223 + 0.727830i
\(159\) −1.37245 + 3.96544i −0.108842 + 0.314480i
\(160\) −15.0895 −1.19293
\(161\) 11.2306 5.90540i 0.885095 0.465411i
\(162\) 1.04237 0.0818963
\(163\) −4.06882 + 11.7561i −0.318695 + 0.920809i 0.665913 + 0.746030i \(0.268042\pi\)
−0.984608 + 0.174779i \(0.944079\pi\)
\(164\) −2.30756 4.47604i −0.180190 0.349520i
\(165\) 9.18665 + 7.22446i 0.715180 + 0.562424i
\(166\) 15.7231 1.50138i 1.22035 0.116529i
\(167\) 19.6329 2.82278i 1.51924 0.218434i 0.668377 0.743823i \(-0.266989\pi\)
0.850862 + 0.525389i \(0.176080\pi\)
\(168\) 0.243312 + 8.03122i 0.0187720 + 0.619622i
\(169\) −15.2518 + 9.80175i −1.17322 + 0.753981i
\(170\) 10.8086 15.1786i 0.828986 1.16415i
\(171\) −0.940678 + 3.87753i −0.0719354 + 0.296522i
\(172\) 5.29142 1.83138i 0.403467 0.139641i
\(173\) 1.87585 9.73283i 0.142618 0.739973i −0.838248 0.545289i \(-0.816420\pi\)
0.980866 0.194684i \(-0.0623681\pi\)
\(174\) 1.22033 + 4.15605i 0.0925127 + 0.315069i
\(175\) −9.68364 10.5145i −0.732015 0.794823i
\(176\) −2.62244 4.08060i −0.197674 0.307587i
\(177\) −0.586410 2.41722i −0.0440773 0.181689i
\(178\) 8.88676 + 3.55772i 0.666091 + 0.266663i
\(179\) 13.6909 + 19.2262i 1.02331 + 1.43704i 0.895406 + 0.445251i \(0.146885\pi\)
0.127904 + 0.991787i \(0.459175\pi\)
\(180\) −2.73519 + 1.09500i −0.203869 + 0.0816167i
\(181\) −14.3454 9.21925i −1.06629 0.685262i −0.114938 0.993373i \(-0.536667\pi\)
−0.951350 + 0.308111i \(0.900303\pi\)
\(182\) 7.46174 + 13.4569i 0.553101 + 0.997491i
\(183\) 8.16766i 0.603771i
\(184\) −7.00064 12.7717i −0.516094 0.941540i
\(185\) −11.8608 6.84786i −0.872026 0.503465i
\(186\) −6.29638 + 1.21353i −0.461673 + 0.0889802i
\(187\) −20.0606 0.955605i −1.46698 0.0698807i
\(188\) −9.44727 1.35831i −0.689013 0.0990651i
\(189\) 1.05725 + 2.42533i 0.0769040 + 0.176417i
\(190\) 1.90906 + 13.2778i 0.138497 + 0.963271i
\(191\) 4.88534 1.18517i 0.353491 0.0857559i −0.0550816 0.998482i \(-0.517542\pi\)
0.408572 + 0.912726i \(0.366027\pi\)
\(192\) 7.54541 0.359432i 0.544543 0.0259398i
\(193\) −2.97815 0.284379i −0.214372 0.0204700i −0.0126825 0.999920i \(-0.504037\pi\)
−0.201689 + 0.979450i \(0.564643\pi\)
\(194\) 9.41126 + 8.97362i 0.675689 + 0.644268i
\(195\) −11.7845 + 13.6001i −0.843907 + 0.973920i
\(196\) −5.78148 + 2.73151i −0.412963 + 0.195108i
\(197\) 5.80252 1.70377i 0.413413 0.121389i −0.0684108 0.997657i \(-0.521793\pi\)
0.481823 + 0.876268i \(0.339975\pi\)
\(198\) −3.07669 2.19090i −0.218651 0.155701i
\(199\) −1.09651 23.0185i −0.0777293 1.63174i −0.615140 0.788418i \(-0.710900\pi\)
0.537411 0.843321i \(-0.319403\pi\)
\(200\) −11.8748 + 11.3226i −0.839674 + 0.800628i
\(201\) −7.32380 + 5.75950i −0.516581 + 0.406244i
\(202\) 4.97471 + 2.27187i 0.350019 + 0.159848i
\(203\) −8.43232 + 7.05479i −0.591833 + 0.495149i
\(204\) 2.73720 4.25917i 0.191642 0.298201i
\(205\) −16.8030 5.81557i −1.17357 0.406177i
\(206\) −8.59185 + 14.8815i −0.598622 + 1.03684i
\(207\) −3.70308 3.04749i −0.257382 0.211815i
\(208\) 6.46823 3.73443i 0.448491 0.258936i
\(209\) 10.9265 9.46788i 0.755803 0.654907i
\(210\) 6.33036 + 6.24877i 0.436837 + 0.431206i
\(211\) −1.47352 + 10.2485i −0.101441 + 0.705538i 0.874104 + 0.485739i \(0.161449\pi\)
−0.975545 + 0.219799i \(0.929460\pi\)
\(212\) 0.364360 + 3.81576i 0.0250244 + 0.262067i
\(213\) 2.44561 6.10885i 0.167571 0.418572i
\(214\) 5.82446 + 6.10852i 0.398152 + 0.417570i
\(215\) 9.05945 17.5729i 0.617849 1.19846i
\(216\) 2.76247 1.26158i 0.187962 0.0858394i
\(217\) −9.20987 13.4192i −0.625207 0.910956i
\(218\) −9.57266 8.29476i −0.648343 0.561792i
\(219\) 1.51866 + 0.292697i 0.102621 + 0.0197786i
\(220\) 10.3748 + 2.51690i 0.699469 + 0.169689i
\(221\) 2.93950 30.7838i 0.197732 2.07074i
\(222\) 3.93418 + 2.02821i 0.264045 + 0.136124i
\(223\) 3.10068 10.5600i 0.207637 0.707147i −0.788152 0.615480i \(-0.788962\pi\)
0.995790 0.0916674i \(-0.0292197\pi\)
\(224\) 5.48061 + 11.0986i 0.366189 + 0.741554i
\(225\) −2.24438 + 4.91452i −0.149626 + 0.327635i
\(226\) 0.429951 + 1.07397i 0.0285999 + 0.0714391i
\(227\) −14.5565 + 7.50438i −0.966147 + 0.498083i −0.867716 0.497060i \(-0.834413\pi\)
−0.0984312 + 0.995144i \(0.531382\pi\)
\(228\) 0.689770 + 3.57886i 0.0456811 + 0.237016i
\(229\) 3.17489 + 5.49907i 0.209803 + 0.363389i 0.951652 0.307177i \(-0.0993845\pi\)
−0.741850 + 0.670566i \(0.766051\pi\)
\(230\) −15.3658 4.88461i −1.01319 0.322081i
\(231\) 1.97704 9.38087i 0.130080 0.617216i
\(232\) 8.26415 + 9.53733i 0.542568 + 0.626157i
\(233\) −1.13043 + 23.7306i −0.0740569 + 1.55465i 0.590272 + 0.807205i \(0.299021\pi\)
−0.664329 + 0.747441i \(0.731282\pi\)
\(234\) 3.59510 4.57154i 0.235019 0.298851i
\(235\) −27.4513 + 19.5480i −1.79072 + 1.27517i
\(236\) −1.40451 1.78598i −0.0914261 0.116258i
\(237\) 9.47453 + 2.78197i 0.615437 + 0.180709i
\(238\) −15.0898 2.43694i −0.978130 0.157963i
\(239\) 6.32662 + 13.8534i 0.409235 + 0.896100i 0.996250 + 0.0865238i \(0.0275758\pi\)
−0.587015 + 0.809576i \(0.699697\pi\)
\(240\) 2.97947 3.12478i 0.192324 0.201704i
\(241\) 5.89512 + 17.0328i 0.379738 + 1.09718i 0.959333 + 0.282277i \(0.0910897\pi\)
−0.579595 + 0.814905i \(0.696789\pi\)
\(242\) 0.726148 + 2.09807i 0.0466786 + 0.134869i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) −3.09936 6.78666i −0.198416 0.434471i
\(245\) −8.11852 + 21.0671i −0.518673 + 1.34593i
\(246\) 5.51371 + 1.61897i 0.351541 + 0.103222i
\(247\) 13.7614 + 17.4990i 0.875615 + 1.11343i
\(248\) −15.2178 + 10.8366i −0.966334 + 0.688123i
\(249\) 9.36674 11.9108i 0.593593 0.754815i
\(250\) −0.0644284 + 1.35252i −0.00407481 + 0.0855407i
\(251\) −6.77296 7.81641i −0.427505 0.493367i 0.500603 0.865677i \(-0.333112\pi\)
−0.928109 + 0.372309i \(0.878566\pi\)
\(252\) 1.79883 + 1.61405i 0.113315 + 0.101676i
\(253\) 4.52479 + 16.7784i 0.284471 + 1.05485i
\(254\) 2.05800 + 3.56456i 0.129130 + 0.223660i
\(255\) −3.38312 17.5533i −0.211859 1.09923i
\(256\) 14.8023 7.63114i 0.925147 0.476946i
\(257\) 2.81753 + 7.03786i 0.175753 + 0.439009i 0.989921 0.141620i \(-0.0452310\pi\)
−0.814168 + 0.580629i \(0.802807\pi\)
\(258\) −2.65431 + 5.81212i −0.165250 + 0.361847i
\(259\) −0.728766 + 11.2110i −0.0452833 + 0.696617i
\(260\) −4.63119 + 15.7724i −0.287214 + 0.978161i
\(261\) 3.69351 + 1.90413i 0.228622 + 0.117863i
\(262\) −0.364112 + 3.81315i −0.0224949 + 0.235577i
\(263\) −15.9519 3.86990i −0.983638 0.238628i −0.288481 0.957486i \(-0.593150\pi\)
−0.695157 + 0.718858i \(0.744665\pi\)
\(264\) −10.8054 2.08258i −0.665029 0.128174i
\(265\) 10.2285 + 8.86303i 0.628330 + 0.544451i
\(266\) 9.07260 6.22670i 0.556277 0.381784i
\(267\) 8.35348 3.81491i 0.511225 0.233469i
\(268\) −3.89994 + 7.56482i −0.238227 + 0.462095i
\(269\) −11.1967 11.7427i −0.682674 0.715968i 0.287661 0.957732i \(-0.407122\pi\)
−0.970335 + 0.241765i \(0.922274\pi\)
\(270\) 1.24952 3.12116i 0.0760436 0.189948i
\(271\) 1.20190 + 12.5869i 0.0730102 + 0.764598i 0.955642 + 0.294532i \(0.0951637\pi\)
−0.882631 + 0.470066i \(0.844230\pi\)
\(272\) −1.05590 + 7.34392i −0.0640231 + 0.445290i
\(273\) 14.2832 + 3.72805i 0.864461 + 0.225632i
\(274\) 3.58111 3.10305i 0.216343 0.187462i
\(275\) 16.9542 9.78851i 1.02238 0.590269i
\(276\) −4.23338 1.12701i −0.254820 0.0678382i
\(277\) 15.4137 26.6973i 0.926120 1.60409i 0.136371 0.990658i \(-0.456456\pi\)
0.789750 0.613429i \(-0.210210\pi\)
\(278\) 5.63159 + 1.94911i 0.337760 + 0.116900i
\(279\) −3.32582 + 5.17507i −0.199112 + 0.309824i
\(280\) 24.3395 + 8.89875i 1.45456 + 0.531802i
\(281\) −11.0736 5.05714i −0.660596 0.301684i 0.0567634 0.998388i \(-0.481922\pi\)
−0.717359 + 0.696704i \(0.754649\pi\)
\(282\) 8.56112 6.73254i 0.509807 0.400917i
\(283\) −17.1811 + 16.3821i −1.02131 + 0.973815i −0.999663 0.0259504i \(-0.991739\pi\)
−0.0216449 + 0.999766i \(0.506890\pi\)
\(284\) −0.286005 6.00399i −0.0169713 0.356271i
\(285\) 10.4828 + 7.46479i 0.620949 + 0.442176i
\(286\) −20.2201 + 5.93716i −1.19564 + 0.351071i
\(287\) 1.82551 + 14.4711i 0.107757 + 0.854201i
\(288\) 3.06373 3.53574i 0.180532 0.208345i
\(289\) 9.92906 + 9.46734i 0.584063 + 0.556902i
\(290\) 13.9073 + 1.32798i 0.816664 + 0.0779819i
\(291\) 12.4611 0.593593i 0.730480 0.0347971i
\(292\) 1.37295 0.333073i 0.0803457 0.0194916i
\(293\) −0.944767 6.57100i −0.0551939 0.383882i −0.998630 0.0523275i \(-0.983336\pi\)
0.943436 0.331554i \(-0.107573\pi\)
\(294\) 2.29683 6.92566i 0.133954 0.403913i
\(295\) −7.94080 1.14171i −0.462331 0.0664732i
\(296\) 12.8810 + 0.613598i 0.748694 + 0.0356647i
\(297\) −3.55804 + 0.685757i −0.206459 + 0.0397916i
\(298\) −15.9864 9.22975i −0.926067 0.534665i
\(299\) −26.1372 + 5.72999i −1.51155 + 0.331374i
\(300\) 4.93523i 0.284936i
\(301\) −16.2155 0.280773i −0.934648 0.0161835i
\(302\) −13.0538 8.38915i −0.751160 0.482741i
\(303\) 4.87080 1.94997i 0.279820 0.112023i
\(304\) −3.09820 4.35081i −0.177694 0.249536i
\(305\) −24.4564 9.79085i −1.40037 0.560623i
\(306\) 1.36206 + 5.61447i 0.0778635 + 0.320958i
\(307\) −10.3485 16.1026i −0.590620 0.919022i −0.999978 0.00664838i \(-0.997884\pi\)
0.409358 0.912374i \(-0.365753\pi\)
\(308\) −1.91698 8.54496i −0.109230 0.486895i
\(309\) 4.64442 + 15.8175i 0.264212 + 0.899824i
\(310\) −3.91403 + 20.3079i −0.222302 + 1.15341i
\(311\) 11.9344 4.13054i 0.676739 0.234222i 0.0329868 0.999456i \(-0.489498\pi\)
0.643752 + 0.765234i \(0.277377\pi\)
\(312\) 3.99474 16.4665i 0.226158 0.932234i
\(313\) −16.1294 + 22.6506i −0.911689 + 1.28029i 0.0478910 + 0.998853i \(0.484750\pi\)
−0.959580 + 0.281436i \(0.909189\pi\)
\(314\) −1.35552 + 0.871138i −0.0764963 + 0.0491612i
\(315\) 8.52951 0.258408i 0.480583 0.0145597i
\(316\) 8.92823 1.28369i 0.502252 0.0722129i
\(317\) −7.65084 + 0.730567i −0.429714 + 0.0410327i −0.307673 0.951492i \(-0.599550\pi\)
−0.122042 + 0.992525i \(0.538944\pi\)
\(318\) −3.43821 2.70384i −0.192805 0.151624i
\(319\) −6.89968 13.3835i −0.386308 0.749333i
\(320\) 7.96870 23.0240i 0.445464 1.28708i
\(321\) 8.09721 0.451942
\(322\) 1.98826 + 13.0759i 0.110802 + 0.728691i
\(323\) −22.1145 −1.23049
\(324\) 0.298766 0.863226i 0.0165981 0.0479570i
\(325\) 13.8129 + 26.7932i 0.766200 + 1.48622i
\(326\) −10.1931 8.01591i −0.564541 0.443960i
\(327\) −12.0966 + 1.15508i −0.668942 + 0.0638762i
\(328\) 16.5718 2.38266i 0.915022 0.131560i
\(329\) 24.3483 + 13.0909i 1.34236 + 0.721722i
\(330\) −10.2483 + 6.58621i −0.564153 + 0.362559i
\(331\) 10.3604 14.5491i 0.569457 0.799690i −0.424960 0.905212i \(-0.639712\pi\)
0.994417 + 0.105522i \(0.0336514\pi\)
\(332\) 3.26324 13.4513i 0.179094 0.738234i
\(333\) 4.01276 1.38883i 0.219898 0.0761074i
\(334\) −3.91280 + 20.3015i −0.214099 + 1.11085i
\(335\) 8.46635 + 28.8337i 0.462566 + 1.57535i
\(336\) −3.38048 1.05650i −0.184420 0.0576369i
\(337\) 2.90609 + 4.52196i 0.158305 + 0.246327i 0.911341 0.411652i \(-0.135048\pi\)
−0.753036 + 0.657979i \(0.771412\pi\)
\(338\) −4.45538 18.3653i −0.242341 0.998941i
\(339\) 1.03031 + 0.412475i 0.0559589 + 0.0224025i
\(340\) −9.47201 13.3016i −0.513692 0.721380i
\(341\) 20.6938 8.28456i 1.12063 0.448634i
\(342\) −3.49882 2.24855i −0.189194 0.121588i
\(343\) 18.4439 1.68043i 0.995875 0.0907347i
\(344\) 18.6157i 1.00369i
\(345\) −13.5641 + 7.43499i −0.730266 + 0.400286i
\(346\) 8.94770 + 5.16595i 0.481031 + 0.277723i
\(347\) 9.39767 1.81125i 0.504493 0.0972331i 0.0693464 0.997593i \(-0.477909\pi\)
0.435147 + 0.900360i \(0.356696\pi\)
\(348\) 3.79156 + 0.180614i 0.203249 + 0.00968194i
\(349\) −23.2662 3.34517i −1.24541 0.179063i −0.512081 0.858937i \(-0.671125\pi\)
−0.733329 + 0.679874i \(0.762034\pi\)
\(350\) 13.6586 5.95410i 0.730084 0.318260i
\(351\) −0.794034 5.52262i −0.0423824 0.294776i
\(352\) −16.4746 + 3.99670i −0.878100 + 0.213025i
\(353\) −18.7131 + 0.891415i −0.995998 + 0.0474452i −0.539246 0.842149i \(-0.681291\pi\)
−0.456753 + 0.889594i \(0.650988\pi\)
\(354\) 2.58098 + 0.246453i 0.137177 + 0.0130988i
\(355\) −15.3600 14.6458i −0.815227 0.777317i
\(356\) 5.49343 6.33975i 0.291151 0.336006i
\(357\) −11.6819 + 8.86380i −0.618273 + 0.469122i
\(358\) −23.6062 + 6.93141i −1.24763 + 0.366336i
\(359\) 5.00349 + 3.56297i 0.264074 + 0.188046i 0.704423 0.709780i \(-0.251206\pi\)
−0.440349 + 0.897827i \(0.645145\pi\)
\(360\) −0.466066 9.78394i −0.0245638 0.515659i
\(361\) −2.22904 + 2.12538i −0.117318 + 0.111862i
\(362\) 13.9721 10.9877i 0.734355 0.577503i
\(363\) 1.93745 + 0.884805i 0.101690 + 0.0464402i
\(364\) 13.2829 2.32232i 0.696212 0.121723i
\(365\) 2.69688 4.19643i 0.141161 0.219651i
\(366\) 8.04547 + 2.78456i 0.420544 + 0.145552i
\(367\) −14.8355 + 25.6958i −0.774405 + 1.34131i 0.160723 + 0.987000i \(0.448618\pi\)
−0.935128 + 0.354310i \(0.884716\pi\)
\(368\) 6.32931 1.07483i 0.329938 0.0560294i
\(369\) 4.77431 2.75645i 0.248541 0.143495i
\(370\) 10.7891 9.34879i 0.560898 0.486021i
\(371\) 2.80383 10.7423i 0.145568 0.557712i
\(372\) −0.799710 + 5.56210i −0.0414630 + 0.288382i
\(373\) −1.76566 18.4909i −0.0914225 0.957420i −0.918523 0.395367i \(-0.870618\pi\)
0.827101 0.562053i \(-0.189988\pi\)
\(374\) 7.78048 19.4347i 0.402319 1.00494i
\(375\) 0.896422 + 0.940140i 0.0462910 + 0.0485486i
\(376\) 14.5401 28.2039i 0.749851 1.45451i
\(377\) 21.0898 9.63138i 1.08618 0.496041i
\(378\) −2.74949 + 0.214582i −0.141418 + 0.0110369i
\(379\) −8.85017 7.66872i −0.454603 0.393916i 0.397239 0.917715i \(-0.369969\pi\)
−0.851841 + 0.523800i \(0.824514\pi\)
\(380\) 11.5430 + 2.22473i 0.592144 + 0.114126i
\(381\) 3.83739 + 0.930941i 0.196595 + 0.0476935i
\(382\) −0.498097 + 5.21631i −0.0254849 + 0.266890i
\(383\) −8.17229 4.21311i −0.417585 0.215280i 0.236612 0.971604i \(-0.423963\pi\)
−0.654197 + 0.756324i \(0.726993\pi\)
\(384\) 0.417775 1.42281i 0.0213195 0.0726076i
\(385\) −25.7191 17.1650i −1.31077 0.874811i
\(386\) 1.29545 2.83664i 0.0659367 0.144381i
\(387\) 2.27822 + 5.69072i 0.115809 + 0.289276i
\(388\) 10.1289 5.22180i 0.514215 0.265096i
\(389\) 3.85234 + 19.9878i 0.195321 + 1.01342i 0.938748 + 0.344605i \(0.111987\pi\)
−0.743427 + 0.668818i \(0.766801\pi\)
\(390\) −9.37895 16.2448i −0.474922 0.822589i
\(391\) 11.5758 23.9279i 0.585412 1.21009i
\(392\) −2.29510 21.1341i −0.115920 1.06743i
\(393\) 2.40648 + 2.77723i 0.121391 + 0.140092i
\(394\) −0.299943 + 6.29658i −0.0151109 + 0.317217i
\(395\) 19.6875 25.0347i 0.990585 1.25963i
\(396\) −2.69622 + 1.91997i −0.135490 + 0.0964821i
\(397\) 1.15739 + 1.47174i 0.0580879 + 0.0738648i 0.814229 0.580544i \(-0.197160\pi\)
−0.756141 + 0.654409i \(0.772918\pi\)
\(398\) 23.0480 + 6.76750i 1.15529 + 0.339224i
\(399\) 1.68303 10.4215i 0.0842568 0.521729i
\(400\) −3.00444 6.57880i −0.150222 0.328940i
\(401\) −8.11409 + 8.50982i −0.405198 + 0.424960i −0.894440 0.447189i \(-0.852425\pi\)
0.489241 + 0.872148i \(0.337274\pi\)
\(402\) −3.17647 9.17780i −0.158428 0.457747i
\(403\) 11.2258 + 32.4347i 0.559196 + 1.61569i
\(404\) 3.30728 3.46858i 0.164543 0.172568i
\(405\) −1.33985 2.93386i −0.0665777 0.145785i
\(406\) −4.07446 10.7113i −0.202212 0.531594i
\(407\) −14.7633 4.33490i −0.731790 0.214873i
\(408\) 10.4049 + 13.2309i 0.515118 + 0.655026i
\(409\) 5.51354 3.92617i 0.272627 0.194137i −0.435564 0.900158i \(-0.643451\pi\)
0.708191 + 0.706021i \(0.249512\pi\)
\(410\) 11.4571 14.5689i 0.565828 0.719509i
\(411\) 0.216302 4.54073i 0.0106694 0.223978i
\(412\) 9.86135 + 11.3806i 0.485834 + 0.560682i
\(413\) 2.04440 + 6.25525i 0.100598 + 0.307800i
\(414\) 4.26437 2.60872i 0.209582 0.128211i
\(415\) −24.4361 42.3246i −1.19952 2.07763i
\(416\) −4.94003 25.6313i −0.242205 1.25668i
\(417\) 5.08158 2.61973i 0.248846 0.128289i
\(418\) 5.60111 + 13.9909i 0.273959 + 0.684317i
\(419\) 8.43433 18.4686i 0.412044 0.902251i −0.583862 0.811853i \(-0.698459\pi\)
0.995906 0.0903977i \(-0.0288138\pi\)
\(420\) 6.98927 3.45139i 0.341041 0.168411i
\(421\) 4.68683 15.9619i 0.228422 0.777934i −0.762904 0.646511i \(-0.776227\pi\)
0.991326 0.131423i \(-0.0419545\pi\)
\(422\) −9.59285 4.94546i −0.466973 0.240741i
\(423\) 0.993200 10.4013i 0.0482910 0.505727i
\(424\) −12.3843 3.00441i −0.601436 0.145907i
\(425\) −29.4036 5.66708i −1.42628 0.274894i
\(426\) 5.18369 + 4.49169i 0.251151 + 0.217623i
\(427\) 1.68139 + 21.5441i 0.0813684 + 1.04259i
\(428\) 6.72812 3.07263i 0.325216 0.148521i
\(429\) −9.26403 + 17.9697i −0.447272 + 0.867586i
\(430\) 14.2214 + 14.9150i 0.685816 + 0.719263i
\(431\) −6.15667 + 15.3786i −0.296557 + 0.740763i 0.703006 + 0.711184i \(0.251841\pi\)
−0.999562 + 0.0295785i \(0.990583\pi\)
\(432\) 0.127246 + 1.33259i 0.00612215 + 0.0641140i
\(433\) −4.01236 + 27.9065i −0.192821 + 1.34110i 0.631674 + 0.775234i \(0.282368\pi\)
−0.824495 + 0.565869i \(0.808541\pi\)
\(434\) 16.3583 4.49713i 0.785226 0.215869i
\(435\) 10.1291 8.77689i 0.485652 0.420820i
\(436\) −9.61294 + 5.55004i −0.460377 + 0.265799i
\(437\) 5.85586 + 18.2173i 0.280124 + 0.871453i
\(438\) −0.806066 + 1.39615i −0.0385153 + 0.0667105i
\(439\) 2.31010 + 0.799535i 0.110255 + 0.0381597i 0.381639 0.924312i \(-0.375360\pi\)
−0.271383 + 0.962471i \(0.587481\pi\)
\(440\) −19.1887 + 29.8582i −0.914786 + 1.42343i
\(441\) −3.28803 6.17971i −0.156573 0.294272i
\(442\) 29.3212 + 13.3905i 1.39466 + 0.636922i
\(443\) −8.28241 + 6.51336i −0.393509 + 0.309459i −0.795235 0.606301i \(-0.792653\pi\)
0.401726 + 0.915760i \(0.368410\pi\)
\(444\) 2.80726 2.67671i 0.133227 0.127031i
\(445\) −1.40935 29.5858i −0.0668094 1.40250i
\(446\) 9.34488 + 6.65446i 0.442493 + 0.315098i
\(447\) −16.9918 + 4.98925i −0.803686 + 0.235983i
\(448\) −19.8288 + 2.50138i −0.936821 + 0.118179i
\(449\) −23.0667 + 26.6203i −1.08858 + 1.25629i −0.124065 + 0.992274i \(0.539593\pi\)
−0.964518 + 0.264017i \(0.914952\pi\)
\(450\) −4.07583 3.88629i −0.192136 0.183202i
\(451\) −19.8857 1.89885i −0.936380 0.0894135i
\(452\) 1.01263 0.0482373i 0.0476299 0.00226889i
\(453\) −14.4667 + 3.50958i −0.679705 + 0.164895i
\(454\) −2.42944 16.8971i −0.114019 0.793022i
\(455\) 28.2847 38.2992i 1.32601 1.79550i
\(456\) −11.9939 1.72447i −0.561667 0.0807555i
\(457\) 7.30530 + 0.347994i 0.341728 + 0.0162785i 0.217744 0.976006i \(-0.430130\pi\)
0.123983 + 0.992284i \(0.460433\pi\)
\(458\) −6.49921 + 1.25262i −0.303688 + 0.0585311i
\(459\) 4.79994 + 2.77125i 0.224042 + 0.129351i
\(460\) −8.44931 + 11.3250i −0.393951 + 0.528031i
\(461\) 41.0703i 1.91283i 0.292005 + 0.956417i \(0.405678\pi\)
−0.292005 + 0.956417i \(0.594322\pi\)
\(462\) 8.56651 + 5.14565i 0.398550 + 0.239397i
\(463\) 3.80183 + 2.44329i 0.176686 + 0.113549i 0.625994 0.779827i \(-0.284693\pi\)
−0.449309 + 0.893377i \(0.648330\pi\)
\(464\) −5.16421 + 2.06744i −0.239742 + 0.0959783i
\(465\) 11.5089 + 16.1620i 0.533713 + 0.749495i
\(466\) −22.9902 9.20390i −1.06500 0.426362i
\(467\) 4.58572 + 18.9026i 0.212202 + 0.874708i 0.973937 + 0.226819i \(0.0728327\pi\)
−0.761735 + 0.647889i \(0.775652\pi\)
\(468\) −2.75543 4.28754i −0.127370 0.198192i
\(469\) 18.1326 16.6997i 0.837284 0.771120i
\(470\) −9.89668 33.7050i −0.456500 1.55470i
\(471\) −0.292547 + 1.51788i −0.0134798 + 0.0699401i
\(472\) 7.13834 2.47060i 0.328569 0.113719i
\(473\) 5.23657 21.5854i 0.240778 0.992499i
\(474\) −5.97046 + 8.38434i −0.274232 + 0.385106i
\(475\) 18.1349 11.6546i 0.832086 0.534749i
\(476\) −6.34320 + 11.7980i −0.290740 + 0.540761i
\(477\) −4.15352 + 0.597185i −0.190176 + 0.0273432i
\(478\) −15.8030 + 1.50901i −0.722814 + 0.0690203i
\(479\) −1.47757 1.16197i −0.0675117 0.0530918i 0.583833 0.811874i \(-0.301552\pi\)
−0.651345 + 0.758782i \(0.725795\pi\)
\(480\) −6.91443 13.4121i −0.315599 0.612177i
\(481\) 7.74885 22.3888i 0.353317 1.02084i
\(482\) −18.7878 −0.855762
\(483\) 10.3951 + 7.27614i 0.472993 + 0.331076i
\(484\) 1.94562 0.0884373
\(485\) 13.1601 38.0236i 0.597569 1.72656i
\(486\) 0.477641 + 0.926495i 0.0216662 + 0.0420267i
\(487\) 29.4564 + 23.1648i 1.33480 + 1.04970i 0.993979 + 0.109569i \(0.0349469\pi\)
0.340819 + 0.940129i \(0.389296\pi\)
\(488\) 24.6921 2.35781i 1.11776 0.106733i
\(489\) −12.3137 + 1.77044i −0.556844 + 0.0800621i
\(490\) −17.9842 15.1794i −0.812442 0.685735i
\(491\) 19.6826 12.6492i 0.888262 0.570851i −0.0150258 0.999887i \(-0.504783\pi\)
0.903287 + 0.429036i \(0.141147\pi\)
\(492\) 2.92108 4.10208i 0.131692 0.184936i
\(493\) −5.42989 + 22.3823i −0.244550 + 1.00805i
\(494\) −21.9288 + 7.58964i −0.986624 + 0.341474i
\(495\) −2.21179 + 11.4759i −0.0994126 + 0.515802i
\(496\) −2.32003 7.90128i −0.104172 0.354778i
\(497\) −5.19331 + 16.6170i −0.232952 + 0.745372i
\(498\) 8.53923 + 13.2873i 0.382652 + 0.595418i
\(499\) 4.39921 + 18.1338i 0.196936 + 0.811780i 0.981458 + 0.191679i \(0.0613933\pi\)
−0.784522 + 0.620101i \(0.787092\pi\)
\(500\) 1.10161 + 0.441017i 0.0492653 + 0.0197229i
\(501\) 11.5053 + 16.1569i 0.514019 + 0.721839i
\(502\) 10.0085 4.00682i 0.446703 0.178833i
\(503\) 8.45724 + 5.43514i 0.377090 + 0.242341i 0.715432 0.698682i \(-0.246230\pi\)
−0.338342 + 0.941023i \(0.609866\pi\)
\(504\) −7.02694 + 3.89638i −0.313005 + 0.173559i
\(505\) 16.9221i 0.753023i
\(506\) −18.0700 1.26309i −0.803310 0.0561512i
\(507\) −15.7009 9.06493i −0.697303 0.402588i
\(508\) 3.54182 0.682630i 0.157143 0.0302868i
\(509\) −12.9112 0.615036i −0.572278 0.0272610i −0.240551 0.970636i \(-0.577328\pi\)
−0.331727 + 0.943375i \(0.607631\pi\)
\(510\) 18.4441 + 2.65186i 0.816719 + 0.117426i
\(511\) −4.06606 0.459425i −0.179872 0.0203238i
\(512\) 2.04841 + 14.2470i 0.0905276 + 0.629634i
\(513\) −3.87753 + 0.940678i −0.171197 + 0.0415319i
\(514\) −7.89314 + 0.375996i −0.348151 + 0.0165845i
\(515\) 52.9295 + 5.05416i 2.33235 + 0.222713i
\(516\) 4.05246 + 3.86401i 0.178400 + 0.170104i
\(517\) −24.7935 + 28.6132i −1.09041 + 1.25841i
\(518\) −10.7948 4.53998i −0.474297 0.199475i
\(519\) 9.51044 2.79252i 0.417462 0.122578i
\(520\) −44.5170 31.7004i −1.95220 1.39016i
\(521\) −1.37073 28.7752i −0.0600529 1.26067i −0.804892 0.593422i \(-0.797777\pi\)
0.744839 0.667244i \(-0.232526\pi\)
\(522\) −3.13486 + 2.98908i −0.137209 + 0.130829i
\(523\) −26.5963 + 20.9156i −1.16297 + 0.914574i −0.997431 0.0716289i \(-0.977180\pi\)
−0.165544 + 0.986202i \(0.552938\pi\)
\(524\) 3.05345 + 1.39447i 0.133391 + 0.0609175i
\(525\) 4.90838 13.4252i 0.214219 0.585924i
\(526\) 9.25042 14.3939i 0.403338 0.627606i
\(527\) −32.2201 11.1515i −1.40353 0.485766i
\(528\) 2.42531 4.20076i 0.105548 0.182815i
\(529\) −22.7763 3.19976i −0.990276 0.139120i
\(530\) −12.2176 + 7.05383i −0.530698 + 0.306399i
\(531\) 1.87980 1.62885i 0.0815763 0.0706863i
\(532\) −2.55617 9.29808i −0.110824 0.403123i
\(533\) 4.37743 30.4457i 0.189607 1.31875i
\(534\) 0.909920 + 9.52911i 0.0393761 + 0.412365i
\(535\) 9.70640 24.2454i 0.419644 1.04822i
\(536\) −19.5261 20.4784i −0.843398 0.884531i
\(537\) −10.8154 + 20.9790i −0.466720 + 0.905310i
\(538\) 15.3843 7.02578i 0.663264 0.302903i
\(539\) −3.28376 + 25.1512i −0.141442 + 1.08334i
\(540\) −2.22661 1.92937i −0.0958181 0.0830269i
\(541\) 30.2630 + 5.83271i 1.30111 + 0.250768i 0.792310 0.610119i \(-0.208878\pi\)
0.508796 + 0.860887i \(0.330091\pi\)
\(542\) −12.8083 3.10726i −0.550164 0.133468i
\(543\) 1.62094 16.9752i 0.0695612 0.728477i
\(544\) 23.0478 + 11.8819i 0.988164 + 0.509434i
\(545\) −11.0419 + 37.6053i −0.472984 + 1.61083i
\(546\) −8.54180 + 12.7986i −0.365555 + 0.547728i
\(547\) 12.0609 26.4096i 0.515686 1.12919i −0.455361 0.890307i \(-0.650490\pi\)
0.971047 0.238888i \(-0.0767829\pi\)
\(548\) −1.54333 3.85506i −0.0659279 0.164680i
\(549\) 7.25971 3.74264i 0.309837 0.159732i
\(550\) 3.86195 + 20.0377i 0.164674 + 0.854411i
\(551\) −8.29011 14.3589i −0.353171 0.611709i
\(552\) 8.14404 12.0747i 0.346633 0.513935i
\(553\) −25.5639 5.38767i −1.08709 0.229107i
\(554\) 21.0430 + 24.2849i 0.894032 + 1.03177i
\(555\) 0.651669 13.6802i 0.0276618 0.580693i
\(556\) 3.22827 4.10508i 0.136909 0.174094i
\(557\) 2.06734 1.47214i 0.0875959 0.0623767i −0.535420 0.844586i \(-0.679847\pi\)
0.623016 + 0.782209i \(0.285907\pi\)
\(558\) −3.96380 5.04038i −0.167801 0.213376i
\(559\) 32.8154 + 9.63547i 1.38794 + 0.407537i
\(560\) −7.21577 + 8.85567i −0.304922 + 0.374221i
\(561\) −8.34293 18.2685i −0.352239 0.771295i
\(562\) 8.75676 9.18383i 0.369382 0.387396i
\(563\) 1.96407 + 5.67481i 0.0827757 + 0.239165i 0.978792 0.204856i \(-0.0656727\pi\)
−0.896016 + 0.444021i \(0.853552\pi\)
\(564\) −3.12167 9.01948i −0.131446 0.379789i
\(565\) 2.47014 2.59061i 0.103920 0.108988i
\(566\) −10.2796 22.5091i −0.432082 0.946128i
\(567\) −1.67125 + 2.05107i −0.0701861 + 0.0861370i
\(568\) 19.1740 + 5.62999i 0.804523 + 0.236229i
\(569\) 7.28911 + 9.26886i 0.305576 + 0.388571i 0.914452 0.404694i \(-0.132622\pi\)
−0.608877 + 0.793265i \(0.708380\pi\)
\(570\) −10.9270 + 7.78107i −0.457681 + 0.325913i
\(571\) −4.59430 + 5.84213i −0.192266 + 0.244486i −0.872622 0.488395i \(-0.837582\pi\)
0.680357 + 0.732881i \(0.261825\pi\)
\(572\) −0.878728 + 18.4468i −0.0367415 + 0.771298i
\(573\) 3.29201 + 3.79919i 0.137526 + 0.158713i
\(574\) −14.8770 3.13536i −0.620952 0.130867i
\(575\) 3.11760 + 25.7225i 0.130013 + 1.07270i
\(576\) 3.77698 + 6.54193i 0.157374 + 0.272580i
\(577\) 2.23278 + 11.5847i 0.0929516 + 0.482279i 0.998335 + 0.0576837i \(0.0183715\pi\)
−0.905383 + 0.424595i \(0.860416\pi\)
\(578\) −12.7108 + 6.55286i −0.528699 + 0.272563i
\(579\) −1.11190 2.77739i −0.0462090 0.115425i
\(580\) 5.08588 11.1365i 0.211180 0.462419i
\(581\) −22.2550 + 33.3457i −0.923292 + 1.38341i
\(582\) −3.66358 + 12.4770i −0.151860 + 0.517189i
\(583\) 13.5149 + 6.96740i 0.559728 + 0.288560i
\(584\) −0.446468 + 4.67563i −0.0184750 + 0.193479i
\(585\) −17.4882 4.24259i −0.723048 0.175409i
\(586\) 6.79479 + 1.30959i 0.280690 + 0.0540986i
\(587\) −5.15556 4.46732i −0.212793 0.184386i 0.541942 0.840416i \(-0.317689\pi\)
−0.754735 + 0.656030i \(0.772235\pi\)
\(588\) −5.07709 3.88713i −0.209375 0.160303i
\(589\) 22.3269 10.1963i 0.919963 0.420133i
\(590\) 3.83186 7.43277i 0.157755 0.306002i
\(591\) 4.17324 + 4.37677i 0.171664 + 0.180036i
\(592\) −2.11264 + 5.27712i −0.0868289 + 0.216888i
\(593\) −3.25178 34.0542i −0.133535 1.39844i −0.775328 0.631559i \(-0.782415\pi\)
0.641793 0.766878i \(-0.278191\pi\)
\(594\) 0.537530 3.73861i 0.0220551 0.153397i
\(595\) 12.5373 + 45.6045i 0.513979 + 1.86960i
\(596\) −12.2256 + 10.5935i −0.500778 + 0.433927i
\(597\) 19.9572 11.5223i 0.816794 0.471577i
\(598\) 3.26658 27.6997i 0.133580 1.13272i
\(599\) −8.63258 + 14.9521i −0.352718 + 0.610925i −0.986725 0.162402i \(-0.948076\pi\)
0.634007 + 0.773327i \(0.281409\pi\)
\(600\) −15.5053 5.36642i −0.632999 0.219083i
\(601\) 13.2646 20.6401i 0.541073 0.841925i −0.457817 0.889047i \(-0.651368\pi\)
0.998889 + 0.0471213i \(0.0150047\pi\)
\(602\) 5.80486 15.8772i 0.236588 0.647107i
\(603\) −8.47521 3.87050i −0.345137 0.157619i
\(604\) −10.6889 + 8.40582i −0.434924 + 0.342028i
\(605\) 4.97186 4.74066i 0.202135 0.192735i
\(606\) 0.260222 + 5.46273i 0.0105708 + 0.221908i
\(607\) 2.82775 + 2.01363i 0.114775 + 0.0817309i 0.636003 0.771686i \(-0.280587\pi\)
−0.521228 + 0.853417i \(0.674526\pi\)
\(608\) −17.9109 + 5.25911i −0.726382 + 0.213285i
\(609\) −10.1345 4.26225i −0.410669 0.172715i
\(610\) 17.9822 20.7525i 0.728077 0.840246i
\(611\) −42.1915 40.2295i −1.70688 1.62751i
\(612\) 5.03995 + 0.481257i 0.203728 + 0.0194537i
\(613\) 6.48736 0.309031i 0.262022 0.0124817i 0.0838402 0.996479i \(-0.473281\pi\)
0.178182 + 0.983998i \(0.442978\pi\)
\(614\) 19.3897 4.70390i 0.782506 0.189834i
\(615\) −2.53049 17.5999i −0.102039 0.709698i
\(616\) 28.9306 + 3.26887i 1.16565 + 0.131707i
\(617\) −18.7035 2.68916i −0.752975 0.108261i −0.244869 0.969556i \(-0.578745\pi\)
−0.508106 + 0.861295i \(0.669654\pi\)
\(618\) −17.1642 0.817633i −0.690447 0.0328900i
\(619\) 42.5818 8.20696i 1.71151 0.329866i 0.762946 0.646463i \(-0.223752\pi\)
0.948560 + 0.316597i \(0.102540\pi\)
\(620\) 15.6959 + 9.06205i 0.630364 + 0.363941i
\(621\) 1.01186 4.68787i 0.0406047 0.188118i
\(622\) 13.1641i 0.527832i
\(623\) −21.2489 + 11.7823i −0.851319 + 0.472050i
\(624\) 6.28321 + 4.03797i 0.251530 + 0.161648i
\(625\) −21.1891 + 8.48283i −0.847564 + 0.339313i
\(626\) −16.8128 23.6103i −0.671975 0.943657i
\(627\) 13.4222 + 5.37344i 0.536032 + 0.214595i
\(628\) 0.332903 + 1.37224i 0.0132843 + 0.0547585i
\(629\) 12.7240 + 19.7990i 0.507340 + 0.789437i
\(630\) −2.65338 + 8.49000i −0.105713 + 0.338250i
\(631\) −7.25150 24.6964i −0.288678 0.983146i −0.968343 0.249624i \(-0.919693\pi\)
0.679665 0.733523i \(-0.262125\pi\)
\(632\) −5.67527 + 29.4461i −0.225750 + 1.17130i
\(633\) −9.78446 + 3.38643i −0.388897 + 0.134599i
\(634\) 1.88873 7.78545i 0.0750111 0.309200i
\(635\) 7.38752 10.3743i 0.293165 0.411692i
\(636\) −3.22462 + 2.07234i −0.127864 + 0.0821735i
\(637\) −38.4428 6.89325i −1.52316 0.273120i
\(638\) 15.5356 2.23368i 0.615059 0.0884321i
\(639\) 6.55041 0.625488i 0.259130 0.0247439i
\(640\) −3.75952 2.95652i −0.148608 0.116867i
\(641\) 18.9041 + 36.6688i 0.746666 + 1.44833i 0.888710 + 0.458469i \(0.151602\pi\)
−0.142045 + 0.989860i \(0.545368\pi\)
\(642\) −2.76055 + 7.97607i −0.108950 + 0.314791i
\(643\) −32.7005 −1.28958 −0.644791 0.764359i \(-0.723056\pi\)
−0.644791 + 0.764359i \(0.723056\pi\)
\(644\) 11.3985 + 2.10127i 0.449165 + 0.0828018i
\(645\) 19.7707 0.778469
\(646\) 7.53941 21.7837i 0.296634 0.857068i
\(647\) 8.34586 + 16.1887i 0.328110 + 0.636444i 0.993972 0.109630i \(-0.0349667\pi\)
−0.665863 + 0.746074i \(0.731936\pi\)
\(648\) 2.38717 + 1.87729i 0.0937769 + 0.0737470i
\(649\) −8.97209 + 0.856731i −0.352185 + 0.0336296i
\(650\) −31.1016 + 4.47173i −1.21990 + 0.175396i
\(651\) 7.70727 14.3351i 0.302072 0.561837i
\(652\) −9.55984 + 6.14373i −0.374392 + 0.240607i
\(653\) 12.5561 17.6326i 0.491359 0.690017i −0.492225 0.870468i \(-0.663816\pi\)
0.983584 + 0.180451i \(0.0577557\pi\)
\(654\) 2.98623 12.3094i 0.116771 0.481336i
\(655\) 11.2006 3.87655i 0.437642 0.151469i
\(656\) −1.39664 + 7.24646i −0.0545297 + 0.282927i
\(657\) 0.435729 + 1.48396i 0.0169994 + 0.0578946i
\(658\) −21.1960 + 19.5210i −0.826304 + 0.761008i
\(659\) 16.0366 + 24.9535i 0.624698 + 0.972049i 0.998999 + 0.0447417i \(0.0142465\pi\)
−0.374301 + 0.927307i \(0.622117\pi\)
\(660\) 2.51690 + 10.3748i 0.0979702 + 0.403839i
\(661\) 29.6566 + 11.8727i 1.15351 + 0.461794i 0.867991 0.496580i \(-0.165411\pi\)
0.285515 + 0.958374i \(0.407835\pi\)
\(662\) 10.7993 + 15.1655i 0.419727 + 0.589424i
\(663\) 28.7087 11.4932i 1.11495 0.446360i
\(664\) 38.7121 + 24.8788i 1.50232 + 0.965483i
\(665\) −29.1876 17.5321i −1.13185 0.679866i
\(666\) 4.42621i 0.171512i
\(667\) 19.8757 1.45378i 0.769591 0.0562904i
\(668\) 15.6910 + 9.05920i 0.607103 + 0.350511i
\(669\) 10.8069 2.08286i 0.417818 0.0805279i
\(670\) −31.2888 1.49047i −1.20879 0.0575818i
\(671\) −29.2945 4.21191i −1.13090 0.162599i
\(672\) −7.35344 + 9.95702i −0.283665 + 0.384100i
\(673\) 2.91719 + 20.2895i 0.112449 + 0.782102i 0.965524 + 0.260313i \(0.0838259\pi\)
−0.853075 + 0.521788i \(0.825265\pi\)
\(674\) −5.44507 + 1.32096i −0.209736 + 0.0508815i
\(675\) −5.39663 + 0.257073i −0.207717 + 0.00989476i
\(676\) −16.4860 1.57423i −0.634078 0.0605471i
\(677\) 32.6240 + 31.1070i 1.25384 + 1.19554i 0.971714 + 0.236161i \(0.0758893\pi\)
0.282130 + 0.959376i \(0.408959\pi\)
\(678\) −0.757564 + 0.874275i −0.0290941 + 0.0335763i
\(679\) −32.7467 + 4.13097i −1.25670 + 0.158532i
\(680\) 52.0898 15.2949i 1.99755 0.586534i
\(681\) −13.3403 9.49960i −0.511202 0.364026i
\(682\) 1.10557 + 23.2087i 0.0423343 + 0.888706i
\(683\) 24.8346 23.6797i 0.950268 0.906079i −0.0454085 0.998969i \(-0.514459\pi\)
0.995676 + 0.0928899i \(0.0296104\pi\)
\(684\) −2.86495 + 2.25302i −0.109544 + 0.0861465i
\(685\) −13.3370 6.09080i −0.509581 0.232718i
\(686\) −4.63269 + 18.7408i −0.176877 + 0.715529i
\(687\) −3.43295 + 5.34178i −0.130975 + 0.203801i
\(688\) −7.75435 2.68381i −0.295632 0.102319i
\(689\) −11.7062 + 20.2758i −0.445972 + 0.772447i
\(690\) −2.69941 15.8959i −0.102765 0.605148i
\(691\) 40.8348 23.5760i 1.55343 0.896873i 0.555571 0.831469i \(-0.312500\pi\)
0.997859 0.0654041i \(-0.0208336\pi\)
\(692\) 6.84273 5.92926i 0.260122 0.225397i
\(693\) 9.24399 2.54130i 0.351150 0.0965360i
\(694\) −1.41975 + 9.87458i −0.0538930 + 0.374834i
\(695\) −1.75279 18.3561i −0.0664873 0.696286i
\(696\) −4.69027 + 11.7157i −0.177784 + 0.444083i
\(697\) 21.0855 + 22.1138i 0.798671 + 0.837622i
\(698\) 11.2272 21.7777i 0.424955 0.824297i
\(699\) −21.6106 + 9.86924i −0.817389 + 0.373289i
\(700\) −1.01597 13.0178i −0.0383999 0.492027i
\(701\) 32.7323 + 28.3627i 1.23628 + 1.07124i 0.994906 + 0.100812i \(0.0321440\pi\)
0.241376 + 0.970432i \(0.422401\pi\)
\(702\) 5.71071 + 1.10065i 0.215537 + 0.0415413i
\(703\) −16.4651 3.99440i −0.620995 0.150652i
\(704\) 2.60187 27.2480i 0.0980618 1.02695i
\(705\) −29.9538 15.4423i −1.12813 0.581590i
\(706\) 5.50170 18.7371i 0.207059 0.705179i
\(707\) −12.4464 + 6.14621i −0.468096 + 0.231152i
\(708\) 0.943861 2.06677i 0.0354725 0.0776739i
\(709\) −0.827624 2.06731i −0.0310821 0.0776393i 0.912015 0.410157i \(-0.134526\pi\)
−0.943097 + 0.332518i \(0.892102\pi\)
\(710\) 19.6633 10.1371i 0.737951 0.380440i
\(711\) 1.86876 + 9.69607i 0.0700841 + 0.363631i
\(712\) 13.9445 + 24.1526i 0.522593 + 0.905157i
\(713\) −0.654495 + 29.4949i −0.0245110 + 1.10459i
\(714\) −4.74853 14.5291i −0.177709 0.543737i
\(715\) 42.7015 + 49.2801i 1.59694 + 1.84297i
\(716\) −1.02588 + 21.5359i −0.0383390 + 0.804835i
\(717\) −9.41434 + 11.9713i −0.351585 + 0.447077i
\(718\) −5.21548 + 3.71393i −0.194640 + 0.138603i
\(719\) 8.04712 + 10.2327i 0.300107 + 0.381617i 0.912596 0.408862i \(-0.134074\pi\)
−0.612489 + 0.790479i \(0.709832\pi\)
\(720\) 4.14268 + 1.21640i 0.154389 + 0.0453326i
\(721\) −15.5069 40.7661i −0.577508 1.51821i
\(722\) −1.33365 2.92028i −0.0496333 0.108682i
\(723\) −12.4381 + 13.0447i −0.462578 + 0.485137i
\(724\) −5.09469 14.7201i −0.189343 0.547069i
\(725\) −7.34295 21.2161i −0.272710 0.787945i
\(726\) −1.53210 + 1.60682i −0.0568614 + 0.0596345i
\(727\) −0.127422 0.279014i −0.00472581 0.0103481i 0.907254 0.420582i \(-0.138174\pi\)
−0.911980 + 0.410234i \(0.865447\pi\)
\(728\) −7.14724 + 44.2566i −0.264895 + 1.64026i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 3.21422 + 4.08721i 0.118964 + 0.151274i
\(731\) −27.6748 + 19.7071i −1.02359 + 0.728894i
\(732\) 4.61201 5.86465i 0.170465 0.216764i
\(733\) 0.768908 16.1414i 0.0284003 0.596195i −0.939149 0.343511i \(-0.888384\pi\)
0.967549 0.252684i \(-0.0813133\pi\)
\(734\) −20.2536 23.3739i −0.747574 0.862746i
\(735\) −22.4453 + 2.43750i −0.827909 + 0.0899084i
\(736\) 3.68503 22.1324i 0.135832 0.815810i
\(737\) 16.8805 + 29.2379i 0.621802 + 1.07699i
\(738\) 1.08753 + 5.64263i 0.0400325 + 0.207708i
\(739\) −42.6761 + 22.0011i −1.56987 + 0.809322i −0.999924 0.0123623i \(-0.996065\pi\)
−0.569943 + 0.821685i \(0.693035\pi\)
\(740\) −4.64971 11.6144i −0.170927 0.426955i
\(741\) −9.24791 + 20.2501i −0.339730 + 0.743906i
\(742\) 9.62568 + 6.42421i 0.353370 + 0.235840i
\(743\) 8.39471 28.5898i 0.307972 1.04886i −0.649507 0.760355i \(-0.725025\pi\)
0.957480 0.288501i \(-0.0931569\pi\)
\(744\) −16.6051 8.56055i −0.608774 0.313845i
\(745\) −5.42940 + 56.8593i −0.198918 + 2.08316i
\(746\) 18.8162 + 4.56476i 0.688909 + 0.167128i
\(747\) 14.8788 + 2.86766i 0.544387 + 0.104922i
\(748\) −13.8646 12.0137i −0.506939 0.439265i
\(749\) −21.3583 + 1.66689i −0.780414 + 0.0609069i
\(750\) −1.23169 + 0.562493i −0.0449749 + 0.0205394i
\(751\) 12.0790 23.4300i 0.440770 0.854974i −0.558899 0.829236i \(-0.688776\pi\)
0.999669 0.0257386i \(-0.00819374\pi\)
\(752\) 9.65210 + 10.1228i 0.351976 + 0.369142i
\(753\) 3.84395 9.60173i 0.140081 0.349907i
\(754\) 2.29725 + 24.0578i 0.0836608 + 0.876135i
\(755\) −6.83300 + 47.5246i −0.248678 + 1.72960i
\(756\) −0.610359 + 2.33846i −0.0221986 + 0.0850491i
\(757\) −22.3721 + 19.3855i −0.813128 + 0.704579i −0.958592 0.284784i \(-0.908078\pi\)
0.145464 + 0.989364i \(0.453533\pi\)
\(758\) 10.5712 6.10331i 0.383965 0.221682i
\(759\) −12.8399 + 11.7101i −0.466057 + 0.425050i
\(760\) −19.5411 + 33.8461i −0.708829 + 1.22773i
\(761\) −19.0826 6.60457i −0.691745 0.239415i −0.0414985 0.999139i \(-0.513213\pi\)
−0.650247 + 0.759723i \(0.725334\pi\)
\(762\) −2.22528 + 3.46260i −0.0806133 + 0.125437i
\(763\) 31.6697 5.53699i 1.14652 0.200453i
\(764\) 4.17706 + 1.90760i 0.151121 + 0.0690146i
\(765\) 14.0518 11.0504i 0.508043 0.399529i
\(766\) 6.93622 6.61368i 0.250616 0.238962i
\(767\) −0.660334 13.8621i −0.0238433 0.500532i
\(768\) 13.5657 + 9.66006i 0.489508 + 0.348577i
\(769\) −37.0190 + 10.8698i −1.33494 + 0.391973i −0.869861 0.493297i \(-0.835792\pi\)
−0.465077 + 0.885270i \(0.653974\pi\)
\(770\) 25.6765 19.4824i 0.925318 0.702096i
\(771\) −4.96443 + 5.72925i −0.178789 + 0.206334i
\(772\) −1.97783 1.88586i −0.0711836 0.0678735i
\(773\) −2.93986 0.280723i −0.105740 0.0100969i 0.0420521 0.999115i<