Properties

Label 483.2.bf.a.10.2
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 10.2
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.850716 + 2.45798i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-3.74585 - 2.94577i) q^{4} +(1.41466 - 0.135083i) q^{5} +(2.57456 - 0.370166i) q^{6} +(-1.58058 + 2.12174i) q^{7} +(6.05103 - 3.88876i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.850716 + 2.45798i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-3.74585 - 2.94577i) q^{4} +(1.41466 - 0.135083i) q^{5} +(2.57456 - 0.370166i) q^{6} +(-1.58058 + 2.12174i) q^{7} +(6.05103 - 3.88876i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.871437 + 3.59211i) q^{10} +(-1.78014 + 0.616114i) q^{11} +(-0.901856 + 4.67927i) q^{12} +(0.406488 + 1.38437i) q^{13} +(-3.87056 - 5.69003i) q^{14} +(-0.768299 - 1.19550i) q^{15} +(2.16383 + 8.91943i) q^{16} +(-2.52072 - 1.00915i) q^{17} +(-1.50875 - 2.11874i) q^{18} +(-3.47681 + 1.39190i) q^{19} +(-5.69701 - 3.66124i) q^{20} +(2.61014 + 0.432640i) q^{21} -4.89970i q^{22} +(-3.90072 - 2.79005i) q^{23} +(-6.22921 - 3.59644i) q^{24} +(-2.92664 + 0.564064i) q^{25} +(-3.74856 - 0.178566i) q^{26} +(0.989821 + 0.142315i) q^{27} +(12.1708 - 3.29168i) q^{28} +(-1.23921 - 8.61887i) q^{29} +(3.59211 - 0.871437i) q^{30} +(0.102376 - 0.00487677i) q^{31} +(-9.44398 - 0.901791i) q^{32} +(1.36333 + 1.29993i) q^{33} +(4.62488 - 5.33739i) q^{34} +(-1.94937 + 3.21503i) q^{35} +(4.57236 - 1.34256i) q^{36} +(0.511929 + 0.364543i) q^{37} +(-0.463499 - 9.73005i) q^{38} +(1.04421 - 0.995656i) q^{39} +(8.03481 - 6.31865i) q^{40} +(-6.66902 - 3.04564i) q^{41} +(-3.28391 + 6.04762i) q^{42} +(-1.58344 + 2.46388i) q^{43} +(8.48307 + 2.93602i) q^{44} +(-0.710545 + 1.23070i) q^{45} +(10.1763 - 7.21435i) q^{46} +(-8.83301 + 5.09974i) q^{47} +(6.93638 - 6.01041i) q^{48} +(-2.00353 - 6.70715i) q^{49} +(1.10328 - 7.67349i) q^{50} +(0.258098 + 2.70292i) q^{51} +(2.55539 - 6.38306i) q^{52} +(8.74560 + 9.17212i) q^{53} +(-1.19186 + 2.31189i) q^{54} +(-2.43506 + 1.11206i) q^{55} +(-1.31322 + 18.9852i) q^{56} +(2.83034 + 2.45250i) q^{57} +(22.2392 + 4.28626i) q^{58} +(-5.18423 - 1.25768i) q^{59} +(-0.643724 + 6.74138i) q^{60} +(3.25826 + 1.67975i) q^{61} +(-0.0751059 + 0.255787i) q^{62} +(-0.811488 - 2.51823i) q^{63} +(2.62525 - 5.74849i) q^{64} +(0.762046 + 1.90350i) q^{65} +(-4.35502 + 2.24517i) q^{66} +(0.262881 + 1.36396i) q^{67} +(6.46954 + 11.2056i) q^{68} +(-0.692487 + 4.74557i) q^{69} +(-6.24414 - 7.52658i) q^{70} +(5.92292 + 6.83542i) q^{71} +(-0.342251 + 7.18473i) q^{72} +(2.10974 - 2.68275i) q^{73} +(-1.33155 + 0.948189i) q^{74} +(1.84242 + 2.34283i) q^{75} +(17.1238 + 5.02801i) q^{76} +(1.50643 - 4.75081i) q^{77} +(1.55898 + 3.41368i) q^{78} +(-10.1917 + 10.6888i) q^{79} +(4.26594 + 12.3256i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(13.1596 - 13.8014i) q^{82} +(-4.62648 - 10.1306i) q^{83} +(-8.50272 - 9.30947i) q^{84} +(-3.70227 - 1.08709i) q^{85} +(-4.70911 - 5.98812i) q^{86} +(-7.09292 + 5.05085i) q^{87} +(-8.37578 + 10.6507i) q^{88} +(0.551673 - 11.5810i) q^{89} +(-2.42057 - 2.79348i) q^{90} +(-3.57976 - 1.32565i) q^{91} +(6.39264 + 21.9417i) q^{92} +(-0.0512461 - 0.0887608i) q^{93} +(-5.02069 - 26.0498i) q^{94} +(-4.73046 + 2.43872i) q^{95} +(3.52594 + 8.80737i) q^{96} +(-5.87695 + 12.8687i) q^{97} +(18.1905 + 0.781241i) q^{98} +(0.530713 - 1.80744i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.850716 + 2.45798i −0.601547 + 1.73806i 0.0704647 + 0.997514i \(0.477552\pi\)
−0.672011 + 0.740541i \(0.734569\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) −3.74585 2.94577i −1.87292 1.47288i
\(5\) 1.41466 0.135083i 0.632653 0.0604110i 0.226197 0.974082i \(-0.427371\pi\)
0.406456 + 0.913670i \(0.366765\pi\)
\(6\) 2.57456 0.370166i 1.05106 0.151120i
\(7\) −1.58058 + 2.12174i −0.597403 + 0.801941i
\(8\) 6.05103 3.88876i 2.13936 1.37488i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.871437 + 3.59211i −0.275573 + 1.13593i
\(11\) −1.78014 + 0.616114i −0.536733 + 0.185765i −0.581969 0.813211i \(-0.697717\pi\)
0.0452354 + 0.998976i \(0.485596\pi\)
\(12\) −0.901856 + 4.67927i −0.260343 + 1.35079i
\(13\) 0.406488 + 1.38437i 0.112739 + 0.383955i 0.996461 0.0840579i \(-0.0267881\pi\)
−0.883721 + 0.468013i \(0.844970\pi\)
\(14\) −3.87056 5.69003i −1.03445 1.52072i
\(15\) −0.768299 1.19550i −0.198374 0.308676i
\(16\) 2.16383 + 8.91943i 0.540957 + 2.22986i
\(17\) −2.52072 1.00915i −0.611365 0.244754i 0.0452547 0.998975i \(-0.485590\pi\)
−0.656620 + 0.754222i \(0.728014\pi\)
\(18\) −1.50875 2.11874i −0.355616 0.499392i
\(19\) −3.47681 + 1.39190i −0.797635 + 0.319325i −0.734438 0.678676i \(-0.762554\pi\)
−0.0631973 + 0.998001i \(0.520130\pi\)
\(20\) −5.69701 3.66124i −1.27389 0.818679i
\(21\) 2.61014 + 0.432640i 0.569579 + 0.0944099i
\(22\) 4.89970i 1.04462i
\(23\) −3.90072 2.79005i −0.813356 0.581767i
\(24\) −6.22921 3.59644i −1.27153 0.734120i
\(25\) −2.92664 + 0.564064i −0.585328 + 0.112813i
\(26\) −3.74856 0.178566i −0.735154 0.0350197i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 12.1708 3.29168i 2.30006 0.622069i
\(29\) −1.23921 8.61887i −0.230115 1.60048i −0.697603 0.716485i \(-0.745750\pi\)
0.467488 0.883999i \(-0.345159\pi\)
\(30\) 3.59211 0.871437i 0.655827 0.159102i
\(31\) 0.102376 0.00487677i 0.0183873 0.000875894i −0.0383863 0.999263i \(-0.512222\pi\)
0.0567735 + 0.998387i \(0.481919\pi\)
\(32\) −9.44398 0.901791i −1.66948 0.159416i
\(33\) 1.36333 + 1.29993i 0.237326 + 0.226290i
\(34\) 4.62488 5.33739i 0.793160 0.915355i
\(35\) −1.94937 + 3.21503i −0.329503 + 0.543440i
\(36\) 4.57236 1.34256i 0.762059 0.223761i
\(37\) 0.511929 + 0.364543i 0.0841606 + 0.0599305i 0.621363 0.783523i \(-0.286579\pi\)
−0.537202 + 0.843454i \(0.680519\pi\)
\(38\) −0.463499 9.73005i −0.0751895 1.57842i
\(39\) 1.04421 0.995656i 0.167208 0.159433i
\(40\) 8.03481 6.31865i 1.27042 0.999066i
\(41\) −6.66902 3.04564i −1.04153 0.475649i −0.180162 0.983637i \(-0.557662\pi\)
−0.861364 + 0.507988i \(0.830389\pi\)
\(42\) −3.28391 + 6.04762i −0.506718 + 0.933168i
\(43\) −1.58344 + 2.46388i −0.241472 + 0.375738i −0.940744 0.339118i \(-0.889871\pi\)
0.699272 + 0.714856i \(0.253508\pi\)
\(44\) 8.48307 + 2.93602i 1.27887 + 0.442622i
\(45\) −0.710545 + 1.23070i −0.105922 + 0.183462i
\(46\) 10.1763 7.21435i 1.50041 1.06370i
\(47\) −8.83301 + 5.09974i −1.28843 + 0.743873i −0.978374 0.206846i \(-0.933680\pi\)
−0.310053 + 0.950719i \(0.600347\pi\)
\(48\) 6.93638 6.01041i 1.00118 0.867527i
\(49\) −2.00353 6.70715i −0.286218 0.958164i
\(50\) 1.10328 7.67349i 0.156028 1.08520i
\(51\) 0.258098 + 2.70292i 0.0361409 + 0.378485i
\(52\) 2.55539 6.38306i 0.354369 0.885171i
\(53\) 8.74560 + 9.17212i 1.20130 + 1.25989i 0.956967 + 0.290196i \(0.0937205\pi\)
0.244333 + 0.969691i \(0.421431\pi\)
\(54\) −1.19186 + 2.31189i −0.162192 + 0.314609i
\(55\) −2.43506 + 1.11206i −0.328344 + 0.149950i
\(56\) −1.31322 + 18.9852i −0.175486 + 2.53700i
\(57\) 2.83034 + 2.45250i 0.374888 + 0.324842i
\(58\) 22.2392 + 4.28626i 2.92015 + 0.562814i
\(59\) −5.18423 1.25768i −0.674929 0.163736i −0.116376 0.993205i \(-0.537128\pi\)
−0.558552 + 0.829469i \(0.688643\pi\)
\(60\) −0.643724 + 6.74138i −0.0831044 + 0.870308i
\(61\) 3.25826 + 1.67975i 0.417178 + 0.215070i 0.654019 0.756478i \(-0.273082\pi\)
−0.236841 + 0.971548i \(0.576112\pi\)
\(62\) −0.0751059 + 0.255787i −0.00953845 + 0.0324850i
\(63\) −0.811488 2.51823i −0.102238 0.317267i
\(64\) 2.62525 5.74849i 0.328156 0.718561i
\(65\) 0.762046 + 1.90350i 0.0945201 + 0.236100i
\(66\) −4.35502 + 2.24517i −0.536066 + 0.276361i
\(67\) 0.262881 + 1.36396i 0.0321161 + 0.166634i 0.994446 0.105252i \(-0.0335648\pi\)
−0.962330 + 0.271886i \(0.912353\pi\)
\(68\) 6.46954 + 11.2056i 0.784547 + 1.35887i
\(69\) −0.692487 + 4.74557i −0.0833657 + 0.571300i
\(70\) −6.24414 7.52658i −0.746317 0.899599i
\(71\) 5.92292 + 6.83542i 0.702922 + 0.811215i 0.989144 0.146948i \(-0.0469451\pi\)
−0.286222 + 0.958163i \(0.592400\pi\)
\(72\) −0.342251 + 7.18473i −0.0403346 + 0.846728i
\(73\) 2.10974 2.68275i 0.246926 0.313992i −0.646752 0.762700i \(-0.723873\pi\)
0.893679 + 0.448708i \(0.148116\pi\)
\(74\) −1.33155 + 0.948189i −0.154789 + 0.110225i
\(75\) 1.84242 + 2.34283i 0.212745 + 0.270527i
\(76\) 17.1238 + 5.02801i 1.96424 + 0.576752i
\(77\) 1.50643 4.75081i 0.171674 0.541405i
\(78\) 1.55898 + 3.41368i 0.176519 + 0.386523i
\(79\) −10.1917 + 10.6888i −1.14666 + 1.20258i −0.170539 + 0.985351i \(0.554551\pi\)
−0.976120 + 0.217230i \(0.930298\pi\)
\(80\) 4.26594 + 12.3256i 0.476946 + 1.37805i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 13.1596 13.8014i 1.45323 1.52410i
\(83\) −4.62648 10.1306i −0.507822 1.11198i −0.973847 0.227204i \(-0.927042\pi\)
0.466025 0.884771i \(-0.345686\pi\)
\(84\) −8.50272 9.30947i −0.927723 1.01575i
\(85\) −3.70227 1.08709i −0.401568 0.117911i
\(86\) −4.70911 5.98812i −0.507796 0.645715i
\(87\) −7.09292 + 5.05085i −0.760441 + 0.541507i
\(88\) −8.37578 + 10.6507i −0.892861 + 1.13537i
\(89\) 0.551673 11.5810i 0.0584772 1.22759i −0.758793 0.651332i \(-0.774210\pi\)
0.817270 0.576255i \(-0.195487\pi\)
\(90\) −2.42057 2.79348i −0.255150 0.294459i
\(91\) −3.57976 1.32565i −0.375261 0.138966i
\(92\) 6.39264 + 21.9417i 0.666479 + 2.28758i
\(93\) −0.0512461 0.0887608i −0.00531397 0.00920406i
\(94\) −5.02069 26.0498i −0.517844 2.68683i
\(95\) −4.73046 + 2.43872i −0.485335 + 0.250208i
\(96\) 3.52594 + 8.80737i 0.359865 + 0.898898i
\(97\) −5.87695 + 12.8687i −0.596714 + 1.30662i 0.334585 + 0.942366i \(0.391404\pi\)
−0.931299 + 0.364256i \(0.881323\pi\)
\(98\) 18.1905 + 0.781241i 1.83752 + 0.0789173i
\(99\) 0.530713 1.80744i 0.0533387 0.181655i
\(100\) 12.6244 + 6.50831i 1.26244 + 0.650831i
\(101\) 0.122118 1.27888i 0.0121512 0.127253i −0.987361 0.158488i \(-0.949338\pi\)
0.999512 + 0.0312350i \(0.00994403\pi\)
\(102\) −6.86331 1.66502i −0.679569 0.164862i
\(103\) 8.17350 + 1.57531i 0.805359 + 0.155220i 0.575285 0.817953i \(-0.304891\pi\)
0.230074 + 0.973173i \(0.426103\pi\)
\(104\) 7.84316 + 6.79614i 0.769085 + 0.666416i
\(105\) 3.75089 + 0.259451i 0.366049 + 0.0253198i
\(106\) −29.9849 + 13.6937i −2.91239 + 1.33004i
\(107\) 8.39012 16.2746i 0.811104 1.57332i −0.00820313 0.999966i \(-0.502611\pi\)
0.819307 0.573355i \(-0.194359\pi\)
\(108\) −3.28849 3.44887i −0.316435 0.331868i
\(109\) −0.456459 + 1.14018i −0.0437208 + 0.109209i −0.948621 0.316414i \(-0.897521\pi\)
0.904900 + 0.425624i \(0.139945\pi\)
\(110\) −0.661866 6.93138i −0.0631065 0.660881i
\(111\) 0.0894393 0.622064i 0.00848920 0.0590437i
\(112\) −22.3448 9.50680i −2.11138 0.898308i
\(113\) 1.89908 1.64556i 0.178650 0.154801i −0.560945 0.827853i \(-0.689562\pi\)
0.739596 + 0.673051i \(0.235017\pi\)
\(114\) −8.43602 + 4.87054i −0.790106 + 0.456168i
\(115\) −5.89506 3.42004i −0.549717 0.318921i
\(116\) −20.7473 + 35.9354i −1.92634 + 3.33652i
\(117\) −1.36346 0.471899i −0.126052 0.0436270i
\(118\) 7.50166 11.6728i 0.690583 1.07457i
\(119\) 6.12535 3.75327i 0.561509 0.344062i
\(120\) −9.29800 4.24626i −0.848788 0.387628i
\(121\) −5.85727 + 4.60621i −0.532479 + 0.418746i
\(122\) −6.90066 + 6.57976i −0.624756 + 0.595704i
\(123\) 0.348850 + 7.32325i 0.0314547 + 0.660316i
\(124\) −0.397851 0.283308i −0.0357281 0.0254418i
\(125\) −10.8816 + 3.19513i −0.973282 + 0.285781i
\(126\) 6.88011 + 0.147675i 0.612929 + 0.0131559i
\(127\) 2.60965 3.01169i 0.231569 0.267245i −0.628059 0.778166i \(-0.716150\pi\)
0.859627 + 0.510921i \(0.170696\pi\)
\(128\) −1.83570 1.75034i −0.162254 0.154709i
\(129\) 2.91555 + 0.278402i 0.256700 + 0.0245119i
\(130\) −5.32705 + 0.253758i −0.467213 + 0.0222561i
\(131\) −13.8597 + 3.36233i −1.21093 + 0.293768i −0.789875 0.613267i \(-0.789855\pi\)
−0.421054 + 0.907036i \(0.638340\pi\)
\(132\) −1.27753 8.88542i −0.111195 0.773376i
\(133\) 2.54212 9.57689i 0.220430 0.830422i
\(134\) −3.57622 0.514183i −0.308938 0.0444186i
\(135\) 1.41948 + 0.0676182i 0.122169 + 0.00581965i
\(136\) −19.1773 + 3.69612i −1.64444 + 0.316940i
\(137\) 11.1273 + 6.42434i 0.950667 + 0.548868i 0.893288 0.449484i \(-0.148392\pi\)
0.0573792 + 0.998352i \(0.481726\pi\)
\(138\) −11.0754 5.73925i −0.942802 0.488558i
\(139\) 19.8747i 1.68575i 0.538109 + 0.842875i \(0.319139\pi\)
−0.538109 + 0.842875i \(0.680861\pi\)
\(140\) 16.7728 6.30065i 1.41756 0.532502i
\(141\) 8.58035 + 5.51425i 0.722596 + 0.464384i
\(142\) −21.8401 + 8.74344i −1.83278 + 0.733733i
\(143\) −1.57654 2.21394i −0.131837 0.185139i
\(144\) −8.52070 3.41117i −0.710058 0.284264i
\(145\) −2.91731 12.0253i −0.242270 0.998650i
\(146\) 4.79937 + 7.46796i 0.397198 + 0.618053i
\(147\) −5.04348 + 4.85420i −0.415979 + 0.400368i
\(148\) −0.843749 2.87355i −0.0693558 0.236204i
\(149\) −1.43575 + 7.44936i −0.117621 + 0.610275i 0.874504 + 0.485019i \(0.161187\pi\)
−0.992124 + 0.125256i \(0.960025\pi\)
\(150\) −7.32602 + 2.53556i −0.598167 + 0.207028i
\(151\) 1.46847 6.05313i 0.119503 0.492597i −0.880331 0.474360i \(-0.842680\pi\)
0.999834 0.0182369i \(-0.00580531\pi\)
\(152\) −15.6255 + 21.9429i −1.26740 + 1.77981i
\(153\) 2.28419 1.46796i 0.184666 0.118677i
\(154\) 10.3959 + 7.74436i 0.837722 + 0.624059i
\(155\) 0.144168 0.0207282i 0.0115799 0.00166493i
\(156\) −6.84444 + 0.653565i −0.547994 + 0.0523271i
\(157\) 14.6244 + 11.5007i 1.16715 + 0.917859i 0.997707 0.0676806i \(-0.0215599\pi\)
0.169446 + 0.985540i \(0.445802\pi\)
\(158\) −17.6025 34.1442i −1.40038 2.71637i
\(159\) 4.14504 11.9763i 0.328723 0.949783i
\(160\) −13.4818 −1.06583
\(161\) 12.0852 3.86639i 0.952444 0.304714i
\(162\) 2.60104 0.204357
\(163\) −6.69419 + 19.3416i −0.524330 + 1.51495i 0.302864 + 0.953034i \(0.402057\pi\)
−0.827194 + 0.561917i \(0.810064\pi\)
\(164\) 16.0094 + 31.0539i 1.25012 + 2.42490i
\(165\) 2.10424 + 1.65480i 0.163815 + 0.128826i
\(166\) 28.8366 2.75356i 2.23815 0.213718i
\(167\) 19.0376 2.73719i 1.47317 0.211810i 0.641521 0.767106i \(-0.278304\pi\)
0.831653 + 0.555295i \(0.187395\pi\)
\(168\) 17.4765 7.53228i 1.34834 0.581128i
\(169\) 9.18505 5.90287i 0.706542 0.454067i
\(170\) 5.82161 8.17531i 0.446497 0.627018i
\(171\) 0.882936 3.63951i 0.0675198 0.278320i
\(172\) 13.1893 4.56487i 1.00568 0.348068i
\(173\) 2.50790 13.0122i 0.190672 0.989299i −0.752901 0.658134i \(-0.771346\pi\)
0.943573 0.331165i \(-0.107442\pi\)
\(174\) −6.38083 21.7311i −0.483729 1.64743i
\(175\) 3.42900 7.10111i 0.259208 0.536794i
\(176\) −9.34731 14.5447i −0.704580 1.09635i
\(177\) 1.25768 + 5.18423i 0.0945330 + 0.389670i
\(178\) 27.9966 + 11.2082i 2.09844 + 0.840088i
\(179\) 11.6219 + 16.3207i 0.868663 + 1.21987i 0.974253 + 0.225457i \(0.0723874\pi\)
−0.105590 + 0.994410i \(0.533673\pi\)
\(180\) 6.28695 2.51691i 0.468602 0.187600i
\(181\) 3.22467 + 2.07237i 0.239688 + 0.154038i 0.654970 0.755654i \(-0.272681\pi\)
−0.415283 + 0.909692i \(0.636317\pi\)
\(182\) 6.30378 7.67122i 0.467267 0.568629i
\(183\) 3.66577i 0.270981i
\(184\) −34.4532 1.71375i −2.53992 0.126339i
\(185\) 0.773447 + 0.446550i 0.0568649 + 0.0328310i
\(186\) 0.261768 0.0504517i 0.0191938 0.00369930i
\(187\) 5.10899 + 0.243371i 0.373607 + 0.0177971i
\(188\) 48.1097 + 6.91714i 3.50876 + 0.504484i
\(189\) −1.86645 + 1.87520i −0.135764 + 0.136401i
\(190\) −1.97006 13.7021i −0.142923 0.994051i
\(191\) −18.1656 + 4.40692i −1.31442 + 0.318874i −0.830880 0.556451i \(-0.812163\pi\)
−0.483535 + 0.875325i \(0.660647\pi\)
\(192\) −6.31242 + 0.300698i −0.455560 + 0.0217010i
\(193\) 2.31007 + 0.220585i 0.166283 + 0.0158781i 0.177865 0.984055i \(-0.443081\pi\)
−0.0115827 + 0.999933i \(0.503687\pi\)
\(194\) −26.6315 25.3931i −1.91203 1.82312i
\(195\) 1.34271 1.54957i 0.0961532 0.110967i
\(196\) −12.2528 + 31.0259i −0.875199 + 2.21614i
\(197\) 2.85580 0.838539i 0.203467 0.0597434i −0.178411 0.983956i \(-0.557096\pi\)
0.381878 + 0.924213i \(0.375277\pi\)
\(198\) 3.99117 + 2.84210i 0.283640 + 0.201979i
\(199\) 0.586255 + 12.3070i 0.0415585 + 0.872421i 0.919365 + 0.393405i \(0.128703\pi\)
−0.877807 + 0.479015i \(0.840994\pi\)
\(200\) −15.5157 + 14.7942i −1.09712 + 1.04611i
\(201\) 1.09188 0.858660i 0.0770149 0.0605652i
\(202\) 3.03958 + 1.38813i 0.213864 + 0.0976683i
\(203\) 20.2456 + 10.9936i 1.42097 + 0.771596i
\(204\) 6.99539 10.8850i 0.489775 0.762105i
\(205\) −9.84578 3.40766i −0.687659 0.238001i
\(206\) −10.8254 + 18.7502i −0.754242 + 1.30639i
\(207\) 4.53535 1.55904i 0.315229 0.108361i
\(208\) −11.4682 + 6.62118i −0.795178 + 0.459096i
\(209\) 5.33165 4.61990i 0.368798 0.319565i
\(210\) −3.82866 + 8.99889i −0.264203 + 0.620983i
\(211\) −3.00785 + 20.9200i −0.207069 + 1.44019i 0.575587 + 0.817740i \(0.304773\pi\)
−0.782656 + 0.622454i \(0.786136\pi\)
\(212\) −5.74075 60.1199i −0.394276 4.12905i
\(213\) 3.36152 8.39668i 0.230328 0.575331i
\(214\) 32.8650 + 34.4678i 2.24660 + 2.35617i
\(215\) −1.90719 + 3.69943i −0.130069 + 0.252299i
\(216\) 6.54287 2.98803i 0.445186 0.203310i
\(217\) −0.151466 + 0.224923i −0.0102822 + 0.0152688i
\(218\) −2.41422 2.09194i −0.163512 0.141684i
\(219\) −3.35126 0.645903i −0.226457 0.0436461i
\(220\) 12.3972 + 3.00754i 0.835821 + 0.202768i
\(221\) 0.372388 3.89982i 0.0250495 0.262330i
\(222\) 1.45293 + 0.749039i 0.0975145 + 0.0502722i
\(223\) 0.421399 1.43515i 0.0282190 0.0961050i −0.944179 0.329432i \(-0.893143\pi\)
0.972398 + 0.233327i \(0.0749611\pi\)
\(224\) 16.8403 18.6123i 1.12519 1.24359i
\(225\) 1.23815 2.71116i 0.0825431 0.180744i
\(226\) 2.42918 + 6.06780i 0.161587 + 0.403624i
\(227\) 0.227937 0.117510i 0.0151287 0.00779940i −0.450646 0.892703i \(-0.648806\pi\)
0.465774 + 0.884904i \(0.345776\pi\)
\(228\) −3.37752 17.5242i −0.223682 1.16057i
\(229\) −13.2422 22.9361i −0.875066 1.51566i −0.856692 0.515828i \(-0.827484\pi\)
−0.0183744 0.999831i \(-0.505849\pi\)
\(230\) 13.4214 11.5805i 0.884982 0.763593i
\(231\) −4.91298 + 0.837980i −0.323250 + 0.0551350i
\(232\) −41.0152 47.3341i −2.69278 3.10763i
\(233\) −0.315925 + 6.63209i −0.0206970 + 0.434483i 0.964609 + 0.263684i \(0.0849377\pi\)
−0.985306 + 0.170798i \(0.945365\pi\)
\(234\) 2.31984 2.94991i 0.151652 0.192842i
\(235\) −11.8068 + 8.40756i −0.770189 + 0.548449i
\(236\) 15.7145 + 19.9826i 1.02293 + 1.30076i
\(237\) 14.1707 + 4.16089i 0.920485 + 0.270279i
\(238\) 4.01455 + 18.2490i 0.260224 + 1.18290i
\(239\) −3.06789 6.71774i −0.198445 0.434534i 0.784081 0.620658i \(-0.213135\pi\)
−0.982526 + 0.186124i \(0.940407\pi\)
\(240\) 9.00068 9.43964i 0.580991 0.609326i
\(241\) −6.81432 19.6887i −0.438949 1.26826i −0.920121 0.391634i \(-0.871910\pi\)
0.481172 0.876626i \(-0.340211\pi\)
\(242\) −6.33910 18.3156i −0.407493 1.17737i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) −7.25680 15.8902i −0.464569 1.01726i
\(245\) −3.74033 9.21766i −0.238961 0.588895i
\(246\) −18.2972 5.37254i −1.16659 0.342541i
\(247\) −3.34019 4.24740i −0.212531 0.270256i
\(248\) 0.600516 0.427625i 0.0381328 0.0271542i
\(249\) −6.88444 + 8.75428i −0.436284 + 0.554780i
\(250\) 1.40359 29.4650i 0.0887708 1.86353i
\(251\) −2.26039 2.60862i −0.142674 0.164655i 0.679915 0.733291i \(-0.262017\pi\)
−0.822589 + 0.568636i \(0.807471\pi\)
\(252\) −4.37841 + 11.8234i −0.275814 + 0.744802i
\(253\) 8.66283 + 2.56341i 0.544627 + 0.161160i
\(254\) 5.18262 + 8.97656i 0.325187 + 0.563240i
\(255\) 0.730239 + 3.78884i 0.0457294 + 0.237266i
\(256\) 17.0981 8.81467i 1.06863 0.550917i
\(257\) 9.23609 + 23.0706i 0.576131 + 1.43911i 0.874675 + 0.484710i \(0.161075\pi\)
−0.298543 + 0.954396i \(0.596501\pi\)
\(258\) −3.16461 + 6.92954i −0.197020 + 0.431414i
\(259\) −1.58261 + 0.509989i −0.0983385 + 0.0316892i
\(260\) 2.75275 9.37502i 0.170719 0.581414i
\(261\) 7.73953 + 3.99001i 0.479065 + 0.246975i
\(262\) 3.52613 36.9273i 0.217845 2.28138i
\(263\) 8.20113 + 1.98957i 0.505703 + 0.122682i 0.480491 0.877000i \(-0.340459\pi\)
0.0252125 + 0.999682i \(0.491974\pi\)
\(264\) 13.3047 + 2.56427i 0.818848 + 0.157820i
\(265\) 13.6110 + 11.7940i 0.836117 + 0.724500i
\(266\) 21.3772 + 14.3957i 1.31072 + 0.882657i
\(267\) −10.5464 + 4.81639i −0.645431 + 0.294758i
\(268\) 3.03319 5.88357i 0.185282 0.359396i
\(269\) 3.78813 + 3.97288i 0.230967 + 0.242231i 0.829011 0.559232i \(-0.188904\pi\)
−0.598045 + 0.801463i \(0.704055\pi\)
\(270\) −1.37378 + 3.43153i −0.0836055 + 0.208836i
\(271\) −2.55282 26.7343i −0.155073 1.62399i −0.653405 0.757009i \(-0.726660\pi\)
0.498332 0.866986i \(-0.333946\pi\)
\(272\) 3.54658 24.6670i 0.215043 1.49566i
\(273\) 0.462055 + 3.78926i 0.0279648 + 0.229337i
\(274\) −25.2570 + 21.8854i −1.52583 + 1.32214i
\(275\) 4.86231 2.80726i 0.293209 0.169284i
\(276\) 16.5733 15.7363i 0.997596 0.947213i
\(277\) 2.82303 4.88962i 0.169619 0.293789i −0.768667 0.639649i \(-0.779080\pi\)
0.938286 + 0.345860i \(0.112413\pi\)
\(278\) −48.8517 16.9077i −2.92993 1.01406i
\(279\) −0.0554114 + 0.0862218i −0.00331739 + 0.00516197i
\(280\) 0.706831 + 27.0349i 0.0422412 + 1.61564i
\(281\) 1.77239 + 0.809421i 0.105732 + 0.0482860i 0.467579 0.883951i \(-0.345126\pi\)
−0.361847 + 0.932237i \(0.617854\pi\)
\(282\) −20.8534 + 16.3993i −1.24180 + 0.976562i
\(283\) −8.14951 + 7.77054i −0.484438 + 0.461911i −0.892503 0.451042i \(-0.851052\pi\)
0.408064 + 0.912953i \(0.366204\pi\)
\(284\) −2.05082 43.0520i −0.121694 2.55467i
\(285\) 4.33525 + 3.08712i 0.256798 + 0.182865i
\(286\) 6.78300 1.99167i 0.401087 0.117770i
\(287\) 17.0030 9.33602i 1.00365 0.551088i
\(288\) 6.21262 7.16975i 0.366082 0.422482i
\(289\) −6.96781 6.64379i −0.409871 0.390811i
\(290\) 32.0398 + 3.05943i 1.88144 + 0.179656i
\(291\) 14.1312 0.673150i 0.828383 0.0394608i
\(292\) −15.8055 + 3.83438i −0.924949 + 0.224390i
\(293\) −2.14182 14.8967i −0.125127 0.870275i −0.951609 0.307312i \(-0.900570\pi\)
0.826482 0.562963i \(-0.190339\pi\)
\(294\) −7.64097 16.5263i −0.445630 0.963835i
\(295\) −7.50378 1.07888i −0.436887 0.0628149i
\(296\) 4.51532 + 0.215091i 0.262448 + 0.0125019i
\(297\) −1.84971 + 0.356502i −0.107331 + 0.0206863i
\(298\) −17.0890 9.86632i −0.989937 0.571541i
\(299\) 2.27688 6.53416i 0.131675 0.377880i
\(300\) 14.2033i 0.820025i
\(301\) −2.72495 7.25399i −0.157063 0.418113i
\(302\) 13.6292 + 8.75897i 0.784274 + 0.504022i
\(303\) −1.19267 + 0.477474i −0.0685172 + 0.0274302i
\(304\) −19.9382 27.9993i −1.14354 1.60587i
\(305\) 4.83623 + 1.93613i 0.276922 + 0.110863i
\(306\) 1.66502 + 6.86331i 0.0951829 + 0.392349i
\(307\) −18.0238 28.0457i −1.02868 1.60065i −0.773543 0.633744i \(-0.781517\pi\)
−0.255132 0.966906i \(-0.582119\pi\)
\(308\) −19.6376 + 13.3582i −1.11896 + 0.761156i
\(309\) −2.34512 7.98675i −0.133409 0.454350i
\(310\) −0.0716964 + 0.371996i −0.00407208 + 0.0211280i
\(311\) −23.5629 + 8.15521i −1.33613 + 0.462439i −0.899390 0.437148i \(-0.855989\pi\)
−0.436741 + 0.899587i \(0.643867\pi\)
\(312\) 2.44670 10.0854i 0.138517 0.570976i
\(313\) −7.41864 + 10.4180i −0.419326 + 0.588861i −0.969166 0.246409i \(-0.920749\pi\)
0.549840 + 0.835270i \(0.314689\pi\)
\(314\) −40.7098 + 26.1626i −2.29739 + 1.47644i
\(315\) −1.48815 3.45281i −0.0838476 0.194544i
\(316\) 69.6633 10.0161i 3.91887 0.563448i
\(317\) −21.2147 + 2.02576i −1.19154 + 0.113778i −0.671921 0.740623i \(-0.734531\pi\)
−0.519615 + 0.854401i \(0.673925\pi\)
\(318\) 25.9113 + 20.3769i 1.45303 + 1.14268i
\(319\) 7.51617 + 14.5793i 0.420825 + 0.816286i
\(320\) 2.93730 8.48676i 0.164200 0.474424i
\(321\) −18.3100 −1.02196
\(322\) −0.777526 + 32.9943i −0.0433298 + 1.83870i
\(323\) 10.1687 0.565802
\(324\) −1.55861 + 4.50330i −0.0865892 + 0.250183i
\(325\) −1.97052 3.82227i −0.109305 0.212022i
\(326\) −41.8464 32.9084i −2.31766 1.82263i
\(327\) 1.22259 0.116743i 0.0676096 0.00645593i
\(328\) −52.1982 + 7.50497i −2.88216 + 0.414393i
\(329\) 3.14098 26.8019i 0.173168 1.47763i
\(330\) −5.85757 + 3.76443i −0.322449 + 0.207225i
\(331\) 19.2692 27.0598i 1.05913 1.48734i 0.197164 0.980370i \(-0.436827\pi\)
0.861965 0.506968i \(-0.169234\pi\)
\(332\) −12.5122 + 51.5761i −0.686698 + 2.83061i
\(333\) −0.593896 + 0.205549i −0.0325453 + 0.0112640i
\(334\) −9.46762 + 49.1227i −0.518045 + 2.68787i
\(335\) 0.556134 + 1.89402i 0.0303849 + 0.103481i
\(336\) 1.78899 + 24.2171i 0.0975974 + 1.32115i
\(337\) 2.37992 + 3.70323i 0.129643 + 0.201728i 0.900006 0.435877i \(-0.143562\pi\)
−0.770364 + 0.637605i \(0.779925\pi\)
\(338\) 6.69528 + 27.5983i 0.364175 + 1.50115i
\(339\) −2.33284 0.933929i −0.126703 0.0507240i
\(340\) 10.6658 + 14.9781i 0.578437 + 0.812301i
\(341\) −0.179239 + 0.0717566i −0.00970635 + 0.00388584i
\(342\) 8.19472 + 5.26643i 0.443120 + 0.284776i
\(343\) 17.3975 + 6.35023i 0.939379 + 0.342880i
\(344\) 21.0666i 1.13583i
\(345\) −0.338583 + 6.80689i −0.0182287 + 0.366471i
\(346\) 29.8502 + 17.2340i 1.60476 + 0.926508i
\(347\) −14.1589 + 2.72890i −0.760087 + 0.146495i −0.554545 0.832153i \(-0.687108\pi\)
−0.205542 + 0.978648i \(0.565896\pi\)
\(348\) 41.4476 + 1.97439i 2.22183 + 0.105839i
\(349\) 3.89721 + 0.560335i 0.208613 + 0.0299940i 0.245829 0.969313i \(-0.420940\pi\)
−0.0372159 + 0.999307i \(0.511849\pi\)
\(350\) 14.5373 + 14.4694i 0.777051 + 0.773424i
\(351\) 0.205334 + 1.42813i 0.0109599 + 0.0762279i
\(352\) 17.3672 4.21325i 0.925677 0.224567i
\(353\) −3.11794 + 0.148526i −0.165951 + 0.00790523i −0.130393 0.991462i \(-0.541624\pi\)
−0.0355582 + 0.999368i \(0.511321\pi\)
\(354\) −13.8127 1.31895i −0.734135 0.0701013i
\(355\) 9.30225 + 8.86967i 0.493712 + 0.470753i
\(356\) −36.1815 + 41.7557i −1.91762 + 2.21305i
\(357\) −6.14284 3.72457i −0.325113 0.197125i
\(358\) −50.0029 + 14.6822i −2.64274 + 0.775977i
\(359\) −0.932073 0.663726i −0.0491929 0.0350301i 0.555196 0.831720i \(-0.312643\pi\)
−0.604389 + 0.796689i \(0.706583\pi\)
\(360\) 0.486369 + 10.2101i 0.0256339 + 0.538122i
\(361\) −3.60014 + 3.43272i −0.189481 + 0.180670i
\(362\) −7.83711 + 6.16317i −0.411909 + 0.323929i
\(363\) 6.77812 + 3.09546i 0.355759 + 0.162470i
\(364\) 9.50417 + 15.5108i 0.498154 + 0.812988i
\(365\) 2.62216 4.08016i 0.137250 0.213565i
\(366\) 9.01039 + 3.11853i 0.470981 + 0.163008i
\(367\) 3.39052 5.87255i 0.176984 0.306545i −0.763862 0.645379i \(-0.776699\pi\)
0.940846 + 0.338835i \(0.110033\pi\)
\(368\) 16.4452 40.8294i 0.857265 2.12838i
\(369\) 6.34932 3.66578i 0.330532 0.190833i
\(370\) −1.75559 + 1.52123i −0.0912690 + 0.0790850i
\(371\) −33.2839 + 4.05858i −1.72802 + 0.210711i
\(372\) −0.0695087 + 0.483443i −0.00360386 + 0.0250654i
\(373\) 0.541157 + 5.66725i 0.0280200 + 0.293439i 0.998610 + 0.0527017i \(0.0167832\pi\)
−0.970590 + 0.240738i \(0.922611\pi\)
\(374\) −4.94450 + 12.3508i −0.255674 + 0.638643i
\(375\) 7.82620 + 8.20788i 0.404143 + 0.423853i
\(376\) −33.6171 + 65.2081i −1.73367 + 3.36285i
\(377\) 11.4280 5.21899i 0.588571 0.268792i
\(378\) −3.02139 6.18295i −0.155404 0.318017i
\(379\) 10.8880 + 9.43449i 0.559278 + 0.484617i 0.888021 0.459802i \(-0.152080\pi\)
−0.328743 + 0.944419i \(0.606625\pi\)
\(380\) 24.9035 + 4.79976i 1.27752 + 0.246222i
\(381\) −3.87271 0.939510i −0.198405 0.0481325i
\(382\) 4.62161 48.3997i 0.236462 2.47634i
\(383\) 2.34461 + 1.20873i 0.119804 + 0.0617633i 0.517087 0.855933i \(-0.327016\pi\)
−0.397283 + 0.917696i \(0.630047\pi\)
\(384\) −0.714594 + 2.43368i −0.0364665 + 0.124193i
\(385\) 1.48932 6.92425i 0.0759030 0.352893i
\(386\) −2.50741 + 5.49045i −0.127624 + 0.279457i
\(387\) −1.08853 2.71902i −0.0553331 0.138215i
\(388\) 59.9225 30.8922i 3.04210 1.56831i
\(389\) 4.32233 + 22.4264i 0.219151 + 1.13706i 0.910173 + 0.414229i \(0.135949\pi\)
−0.691022 + 0.722834i \(0.742839\pi\)
\(390\) 2.66654 + 4.61859i 0.135026 + 0.233871i
\(391\) 7.01706 + 10.9693i 0.354868 + 0.554744i
\(392\) −38.2059 32.7939i −1.92969 1.65634i
\(393\) 9.33945 + 10.7783i 0.471113 + 0.543693i
\(394\) −0.368362 + 7.73286i −0.0185578 + 0.389576i
\(395\) −12.9739 + 16.4977i −0.652788 + 0.830088i
\(396\) −7.31228 + 5.20705i −0.367456 + 0.261664i
\(397\) −8.97149 11.4082i −0.450266 0.572560i 0.506935 0.861984i \(-0.330779\pi\)
−0.957201 + 0.289424i \(0.906536\pi\)
\(398\) −30.7491 9.02876i −1.54131 0.452571i
\(399\) −9.67715 + 2.12886i −0.484463 + 0.106576i
\(400\) −11.3639 24.8834i −0.568194 1.24417i
\(401\) 16.6508 17.4628i 0.831499 0.872051i −0.161894 0.986808i \(-0.551760\pi\)
0.993394 + 0.114757i \(0.0366089\pi\)
\(402\) 1.18170 + 3.41428i 0.0589376 + 0.170289i
\(403\) 0.0483659 + 0.139744i 0.00240928 + 0.00696115i
\(404\) −4.22472 + 4.43076i −0.210188 + 0.220439i
\(405\) −0.590342 1.29267i −0.0293343 0.0642332i
\(406\) −44.2452 + 40.4110i −2.19585 + 2.00556i
\(407\) −1.13591 0.333532i −0.0563048 0.0165326i
\(408\) 12.0728 + 15.3518i 0.597692 + 0.760027i
\(409\) −25.2242 + 17.9621i −1.24726 + 0.888167i −0.996798 0.0799603i \(-0.974521\pi\)
−0.250458 + 0.968127i \(0.580581\pi\)
\(410\) 16.7519 21.3018i 0.827318 1.05202i
\(411\) 0.611364 12.8341i 0.0301564 0.633060i
\(412\) −25.9762 29.9781i −1.27975 1.47692i
\(413\) 10.8626 9.01170i 0.534511 0.443437i
\(414\) −0.0262008 + 12.4741i −0.00128770 + 0.613069i
\(415\) −7.91334 13.7063i −0.388451 0.672816i
\(416\) −2.59045 13.4405i −0.127007 0.658977i
\(417\) 17.6653 9.10712i 0.865076 0.445977i
\(418\) 6.81991 + 17.0353i 0.333573 + 0.833224i
\(419\) −5.98849 + 13.1130i −0.292557 + 0.640610i −0.997651 0.0685037i \(-0.978178\pi\)
0.705094 + 0.709114i \(0.250905\pi\)
\(420\) −13.2860 12.0211i −0.648289 0.586570i
\(421\) −2.13906 + 7.28496i −0.104251 + 0.355047i −0.995053 0.0993449i \(-0.968325\pi\)
0.890802 + 0.454392i \(0.150143\pi\)
\(422\) −48.8622 25.1902i −2.37858 1.22624i
\(423\) 0.969522 10.1533i 0.0471398 0.493670i
\(424\) 88.5880 + 21.4912i 4.30222 + 1.04371i
\(425\) 7.94647 + 1.53156i 0.385461 + 0.0742914i
\(426\) 17.7792 + 15.4057i 0.861404 + 0.746411i
\(427\) −8.71394 + 4.25819i −0.421697 + 0.206068i
\(428\) −79.3692 + 36.2467i −3.83646 + 1.75205i
\(429\) −1.24541 + 2.41577i −0.0601291 + 0.116634i
\(430\) −7.47066 7.83500i −0.360267 0.377837i
\(431\) 14.0224 35.0264i 0.675437 1.68716i −0.0498892 0.998755i \(-0.515887\pi\)
0.725326 0.688405i \(-0.241689\pi\)
\(432\) 0.872438 + 9.13659i 0.0419752 + 0.439584i
\(433\) 5.41998 37.6968i 0.260468 1.81159i −0.268863 0.963178i \(-0.586648\pi\)
0.529331 0.848415i \(-0.322443\pi\)
\(434\) −0.424002 0.563647i −0.0203527 0.0270559i
\(435\) −9.35175 + 8.10334i −0.448382 + 0.388525i
\(436\) 5.06853 2.92632i 0.242738 0.140145i
\(437\) 17.4455 + 4.27106i 0.834534 + 0.204313i
\(438\) 4.43859 7.68786i 0.212084 0.367340i
\(439\) −31.6042 10.9383i −1.50839 0.522058i −0.557122 0.830431i \(-0.688094\pi\)
−0.951266 + 0.308373i \(0.900216\pi\)
\(440\) −10.4101 + 16.1985i −0.496283 + 0.772231i
\(441\) 6.62564 + 2.25850i 0.315507 + 0.107548i
\(442\) 9.26889 + 4.23296i 0.440876 + 0.201341i
\(443\) 14.1023 11.0902i 0.670020 0.526910i −0.224196 0.974544i \(-0.571976\pi\)
0.894217 + 0.447634i \(0.147733\pi\)
\(444\) −2.16748 + 2.06669i −0.102864 + 0.0980807i
\(445\) −0.783977 16.4577i −0.0371641 0.780169i
\(446\) 3.16909 + 2.25670i 0.150061 + 0.106858i
\(447\) 7.27915 2.13735i 0.344292 0.101093i
\(448\) 8.04736 + 14.6560i 0.380202 + 0.692433i
\(449\) 11.2489 12.9819i 0.530869 0.612655i −0.425450 0.904982i \(-0.639884\pi\)
0.956318 + 0.292327i \(0.0944295\pi\)
\(450\) 5.61067 + 5.34977i 0.264490 + 0.252190i
\(451\) 13.7483 + 1.31280i 0.647381 + 0.0618174i
\(452\) −11.9611 + 0.569777i −0.562603 + 0.0268001i
\(453\) −6.05313 + 1.46847i −0.284401 + 0.0689949i
\(454\) 0.0949271 + 0.660233i 0.00445515 + 0.0309863i
\(455\) −5.24319 1.39177i −0.245805 0.0652473i
\(456\) 26.6637 + 3.83366i 1.24864 + 0.179527i
\(457\) 29.6490 + 1.41235i 1.38692 + 0.0660672i 0.727707 0.685889i \(-0.240586\pi\)
0.659214 + 0.751956i \(0.270889\pi\)
\(458\) 67.6418 13.0369i 3.16069 0.609174i
\(459\) −2.35145 1.35761i −0.109756 0.0633678i
\(460\) 12.0073 + 30.1764i 0.559845 + 1.40698i
\(461\) 15.7121i 0.731787i 0.930657 + 0.365894i \(0.119237\pi\)
−0.930657 + 0.365894i \(0.880763\pi\)
\(462\) 2.11981 12.7889i 0.0986223 0.594993i
\(463\) −18.8479 12.1128i −0.875934 0.562929i 0.0236281 0.999721i \(-0.492478\pi\)
−0.899563 + 0.436792i \(0.856115\pi\)
\(464\) 74.1940 29.7028i 3.44437 1.37892i
\(465\) −0.0844856 0.118643i −0.00391792 0.00550196i
\(466\) −16.0328 6.41856i −0.742705 0.297334i
\(467\) −0.666649 2.74796i −0.0308488 0.127161i 0.954305 0.298834i \(-0.0965977\pi\)
−0.985154 + 0.171674i \(0.945083\pi\)
\(468\) 3.71722 + 5.78410i 0.171828 + 0.267370i
\(469\) −3.30946 1.59808i −0.152817 0.0737925i
\(470\) −10.6214 36.1733i −0.489930 1.66855i
\(471\) 3.52099 18.2686i 0.162238 0.841773i
\(472\) −36.2607 + 12.5500i −1.66904 + 0.577659i
\(473\) 1.30072 5.36163i 0.0598070 0.246528i
\(474\) −22.2826 + 31.2915i −1.02347 + 1.43727i
\(475\) 9.39025 6.03475i 0.430854 0.276893i
\(476\) −34.0009 3.98465i −1.55843 0.182636i
\(477\) −12.5443 + 1.80360i −0.574366 + 0.0825813i
\(478\) 19.1220 1.82593i 0.874619 0.0835160i
\(479\) −26.6071 20.9240i −1.21571 0.956044i −0.215916 0.976412i \(-0.569274\pi\)
−0.999793 + 0.0203683i \(0.993516\pi\)
\(480\) 6.17771 + 11.9831i 0.281973 + 0.546951i
\(481\) −0.296570 + 0.856882i −0.0135224 + 0.0390705i
\(482\) 54.1915 2.46835
\(483\) −8.97432 8.97004i −0.408346 0.408151i
\(484\) 35.5093 1.61406
\(485\) −6.57551 + 18.9987i −0.298579 + 0.862686i
\(486\) −1.19186 2.31189i −0.0540640 0.104870i
\(487\) 1.68365 + 1.32404i 0.0762936 + 0.0599979i 0.655577 0.755128i \(-0.272425\pi\)
−0.579284 + 0.815126i \(0.696668\pi\)
\(488\) 26.2480 2.50638i 1.18819 0.113459i
\(489\) 20.2590 2.91280i 0.916141 0.131721i
\(490\) 25.8388 1.35204i 1.16728 0.0610790i
\(491\) −5.29889 + 3.40539i −0.239136 + 0.153683i −0.654720 0.755871i \(-0.727213\pi\)
0.415584 + 0.909555i \(0.363577\pi\)
\(492\) 20.2659 28.4594i 0.913656 1.28305i
\(493\) −5.57399 + 22.9763i −0.251040 + 1.03480i
\(494\) 13.2816 4.59680i 0.597567 0.206820i
\(495\) 0.506621 2.62860i 0.0227709 0.118147i
\(496\) 0.265022 + 0.902583i 0.0118999 + 0.0405272i
\(497\) −23.8646 + 1.76295i −1.07047 + 0.0790792i
\(498\) −15.6611 24.3692i −0.701793 1.09201i
\(499\) 5.82113 + 23.9950i 0.260590 + 1.07417i 0.940208 + 0.340600i \(0.110630\pi\)
−0.679619 + 0.733566i \(0.737855\pi\)
\(500\) 50.1730 + 20.0862i 2.24381 + 0.898284i
\(501\) −11.1565 15.6670i −0.498434 0.699952i
\(502\) 8.33489 3.33679i 0.372004 0.148928i
\(503\) −17.5192 11.2589i −0.781144 0.502011i 0.0882688 0.996097i \(-0.471867\pi\)
−0.869413 + 0.494086i \(0.835503\pi\)
\(504\) −14.7031 12.0822i −0.654930 0.538184i
\(505\) 1.82567i 0.0812413i
\(506\) −13.6704 + 19.1123i −0.607724 + 0.849647i
\(507\) −9.45551 5.45914i −0.419934 0.242449i
\(508\) −18.6471 + 3.59393i −0.827331 + 0.159455i
\(509\) −17.7868 0.847290i −0.788386 0.0375555i −0.350473 0.936573i \(-0.613979\pi\)
−0.437913 + 0.899017i \(0.644282\pi\)
\(510\) −9.93413 1.42831i −0.439891 0.0632467i
\(511\) 2.35748 + 8.71662i 0.104289 + 0.385601i
\(512\) 6.39875 + 44.5043i 0.282788 + 1.96683i
\(513\) −3.63951 + 0.882936i −0.160688 + 0.0389826i
\(514\) −64.5645 + 3.07558i −2.84782 + 0.135658i
\(515\) 11.7755 + 1.12442i 0.518890 + 0.0495480i
\(516\) −10.1011 9.63139i −0.444677 0.423998i
\(517\) 12.5820 14.5204i 0.553356 0.638606i
\(518\) 0.0928077 4.32388i 0.00407774 0.189980i
\(519\) −12.7149 + 3.73343i −0.558122 + 0.163879i
\(520\) 12.0134 + 8.55471i 0.526823 + 0.375149i
\(521\) 0.873069 + 18.3280i 0.0382498 + 0.802963i 0.933755 + 0.357912i \(0.116511\pi\)
−0.895505 + 0.445051i \(0.853186\pi\)
\(522\) −16.3915 + 15.6293i −0.717437 + 0.684074i
\(523\) −27.8021 + 21.8638i −1.21570 + 0.956037i −0.999792 0.0203770i \(-0.993513\pi\)
−0.215907 + 0.976414i \(0.569271\pi\)
\(524\) 61.8210 + 28.2327i 2.70066 + 1.23335i
\(525\) −7.88298 + 0.206102i −0.344041 + 0.00899501i
\(526\) −11.8672 + 18.4657i −0.517432 + 0.805141i
\(527\) −0.262983 0.0910193i −0.0114557 0.00396486i
\(528\) −8.64465 + 14.9730i −0.376210 + 0.651615i
\(529\) 7.43119 + 21.7664i 0.323095 + 0.946366i
\(530\) −40.5685 + 23.4222i −1.76218 + 1.01740i
\(531\) 4.03162 3.49342i 0.174958 0.151602i
\(532\) −37.7337 + 28.3851i −1.63596 + 1.23065i
\(533\) 1.50542 10.4704i 0.0652069 0.453524i
\(534\) −2.86659 30.0203i −0.124050 1.29911i
\(535\) 9.67071 24.1563i 0.418101 1.04437i
\(536\) 6.89481 + 7.23107i 0.297810 + 0.312335i
\(537\) 9.18094 17.8085i 0.396187 0.768496i
\(538\) −12.9879 + 5.93137i −0.559947 + 0.255719i
\(539\) 7.69893 + 10.7053i 0.331617 + 0.461109i
\(540\) −5.11797 4.43475i −0.220242 0.190841i
\(541\) −16.4911 3.17841i −0.709009 0.136650i −0.178017 0.984027i \(-0.556968\pi\)
−0.530992 + 0.847377i \(0.678180\pi\)
\(542\) 67.8842 + 16.4685i 2.91588 + 0.707384i
\(543\) 0.364366 3.81581i 0.0156364 0.163752i
\(544\) 22.8956 + 11.8035i 0.981642 + 0.506071i
\(545\) −0.491713 + 1.67462i −0.0210627 + 0.0717328i
\(546\) −9.70701 2.08786i −0.415422 0.0893522i
\(547\) 4.90846 10.7480i 0.209871 0.459553i −0.775197 0.631719i \(-0.782350\pi\)
0.985068 + 0.172167i \(0.0550768\pi\)
\(548\) −22.7565 56.8429i −0.972109 2.42821i
\(549\) −3.25826 + 1.67975i −0.139059 + 0.0716901i
\(550\) 2.76374 + 14.3397i 0.117846 + 0.611445i
\(551\) 16.3051 + 28.2413i 0.694622 + 1.20312i
\(552\) 14.2641 + 31.4085i 0.607122 + 1.33684i
\(553\) −6.56992 38.5186i −0.279381 1.63798i
\(554\) 9.61701 + 11.0986i 0.408588 + 0.471535i
\(555\) 0.0424954 0.892088i 0.00180383 0.0378670i
\(556\) 58.5463 74.4476i 2.48291 3.15728i
\(557\) −16.7377 + 11.9189i −0.709200 + 0.505019i −0.876812 0.480834i \(-0.840334\pi\)
0.167612 + 0.985853i \(0.446395\pi\)
\(558\) −0.164792 0.209550i −0.00697622 0.00887098i
\(559\) −4.05457 1.19053i −0.171490 0.0503540i
\(560\) −32.8944 10.4304i −1.39004 0.440766i
\(561\) −2.12476 4.65258i −0.0897074 0.196432i
\(562\) −3.49734 + 3.66790i −0.147526 + 0.154721i
\(563\) −11.4643 33.1238i −0.483161 1.39600i −0.878622 0.477519i \(-0.841536\pi\)
0.395461 0.918483i \(-0.370585\pi\)
\(564\) −15.8970 45.9313i −0.669383 1.93405i
\(565\) 2.46425 2.58443i 0.103672 0.108728i
\(566\) −12.1669 26.6419i −0.511414 1.11984i
\(567\) 2.52200 + 0.799698i 0.105914 + 0.0335842i
\(568\) 62.4211 + 18.3285i 2.61913 + 0.769046i
\(569\) 17.5177 + 22.2756i 0.734382 + 0.933842i 0.999539 0.0303630i \(-0.00966631\pi\)
−0.265157 + 0.964205i \(0.585424\pi\)
\(570\) −11.2761 + 8.02970i −0.472305 + 0.336327i
\(571\) −5.34134 + 6.79206i −0.223528 + 0.284239i −0.884863 0.465852i \(-0.845748\pi\)
0.661335 + 0.750091i \(0.269990\pi\)
\(572\) −0.616274 + 12.9372i −0.0257677 + 0.540930i
\(573\) 12.2410 + 14.1268i 0.511374 + 0.590157i
\(574\) 8.48308 + 49.7353i 0.354077 + 2.07591i
\(575\) 12.9898 + 5.96524i 0.541711 + 0.248768i
\(576\) 3.15979 + 5.47292i 0.131658 + 0.228038i
\(577\) 2.47409 + 12.8368i 0.102998 + 0.534403i 0.996373 + 0.0850921i \(0.0271184\pi\)
−0.893375 + 0.449311i \(0.851669\pi\)
\(578\) 22.2579 11.4748i 0.925808 0.477287i
\(579\) −0.862472 2.15435i −0.0358431 0.0895317i
\(580\) −24.4960 + 53.6388i −1.01714 + 2.22723i
\(581\) 28.8069 + 6.19602i 1.19511 + 0.257054i
\(582\) −10.3670 + 35.3068i −0.429726 + 1.46351i
\(583\) −21.2195 10.9394i −0.878821 0.453064i
\(584\) 2.33352 24.4377i 0.0965616 1.01124i
\(585\) −1.99257 0.483393i −0.0823828 0.0199858i
\(586\) 38.4379 + 7.40830i 1.58786 + 0.306034i
\(587\) −24.8956 21.5722i −1.02755 0.890379i −0.0335169 0.999438i \(-0.510671\pi\)
−0.994035 + 0.109059i \(0.965216\pi\)
\(588\) 33.1915 3.32617i 1.36879 0.137169i
\(589\) −0.349154 + 0.159453i −0.0143866 + 0.00657016i
\(590\) 9.03546 17.5263i 0.371984 0.721548i
\(591\) −2.05393 2.15410i −0.0844872 0.0886077i
\(592\) −2.14379 + 5.35492i −0.0881091 + 0.220086i
\(593\) −3.63693 38.0877i −0.149351 1.56407i −0.690616 0.723222i \(-0.742660\pi\)
0.541265 0.840852i \(-0.317946\pi\)
\(594\) 0.697299 4.84982i 0.0286105 0.198991i
\(595\) 8.15825 6.13702i 0.334456 0.251593i
\(596\) 27.3222 23.6748i 1.11916 0.969757i
\(597\) 10.6703 6.16048i 0.436705 0.252132i
\(598\) 14.1239 + 11.1552i 0.577568 + 0.456171i
\(599\) −12.4653 + 21.5905i −0.509317 + 0.882163i 0.490625 + 0.871371i \(0.336769\pi\)
−0.999942 + 0.0107917i \(0.996565\pi\)
\(600\) 20.2593 + 7.01181i 0.827082 + 0.286256i
\(601\) −15.3280 + 23.8508i −0.625241 + 0.972893i 0.373730 + 0.927537i \(0.378079\pi\)
−0.998971 + 0.0453559i \(0.985558\pi\)
\(602\) 20.1483 0.526781i 0.821185 0.0214700i
\(603\) −1.26353 0.577036i −0.0514551 0.0234987i
\(604\) −23.3318 + 18.3483i −0.949357 + 0.746583i
\(605\) −7.66380 + 7.30741i −0.311578 + 0.297089i
\(606\) −0.158997 3.33776i −0.00645882 0.135587i
\(607\) 27.5213 + 19.5978i 1.11706 + 0.795452i 0.980760 0.195217i \(-0.0625410\pi\)
0.136295 + 0.990668i \(0.456480\pi\)
\(608\) 34.0901 10.0098i 1.38254 0.405950i
\(609\) 0.494371 23.0326i 0.0200329 0.933327i
\(610\) −8.87323 + 10.2403i −0.359267 + 0.414616i
\(611\) −10.6504 10.1552i −0.430871 0.410834i
\(612\) −12.8805 1.22994i −0.520663 0.0497173i
\(613\) −22.6553 + 1.07920i −0.915038 + 0.0435886i −0.499816 0.866132i \(-0.666599\pi\)
−0.415222 + 0.909720i \(0.636296\pi\)
\(614\) 84.2689 20.4434i 3.40081 0.825029i
\(615\) 1.48275 + 10.3128i 0.0597903 + 0.415850i
\(616\) −9.35932 34.6054i −0.377098 1.39429i
\(617\) 18.9566 + 2.72555i 0.763164 + 0.109726i 0.512897 0.858450i \(-0.328572\pi\)
0.250267 + 0.968177i \(0.419482\pi\)
\(618\) 21.6263 + 1.03019i 0.869938 + 0.0414402i
\(619\) −6.43209 + 1.23968i −0.258527 + 0.0498271i −0.316868 0.948470i \(-0.602631\pi\)
0.0583405 + 0.998297i \(0.481419\pi\)
\(620\) −0.601092 0.347041i −0.0241404 0.0139375i
\(621\) −3.46395 3.31679i −0.139003 0.133098i
\(622\) 64.8550i 2.60045i
\(623\) 23.6999 + 19.4753i 0.949518 + 0.780260i
\(624\) 11.1402 + 7.15936i 0.445964 + 0.286604i
\(625\) −1.12711 + 0.451229i −0.0450846 + 0.0180491i
\(626\) −19.2961 27.0976i −0.771229 1.08304i
\(627\) −6.54943 2.62200i −0.261559 0.104712i
\(628\) −20.9022 86.1600i −0.834089 3.43816i
\(629\) −0.922554 1.43552i −0.0367846 0.0572380i
\(630\) 9.75293 0.720478i 0.388566 0.0287045i
\(631\) −3.12496 10.6426i −0.124403 0.423677i 0.873614 0.486619i \(-0.161770\pi\)
−0.998017 + 0.0629417i \(0.979952\pi\)
\(632\) −20.1044 + 104.311i −0.799708 + 4.14928i
\(633\) 19.9727 6.91263i 0.793845 0.274753i
\(634\) 13.0684 53.8687i 0.519012 2.13940i
\(635\) 3.28492 4.61303i 0.130358 0.183062i
\(636\) −50.8061 + 32.6511i −2.01459 + 1.29470i
\(637\) 8.47077 5.50000i 0.335624 0.217918i
\(638\) −42.2298 + 6.07173i −1.67190 + 0.240382i
\(639\) −9.00360 + 0.859740i −0.356177 + 0.0340108i
\(640\) −2.83332 2.22815i −0.111997 0.0880753i
\(641\) 18.4132 + 35.7166i 0.727278 + 1.41072i 0.904466 + 0.426545i \(0.140269\pi\)
−0.177188 + 0.984177i \(0.556700\pi\)
\(642\) 15.5766 45.0056i 0.614759 1.77623i
\(643\) 19.2216 0.758025 0.379012 0.925392i \(-0.376264\pi\)
0.379012 + 0.925392i \(0.376264\pi\)
\(644\) −56.6586 21.1172i −2.23266 0.832133i
\(645\) 4.16211 0.163883
\(646\) −8.65068 + 24.9945i −0.340356 + 0.983395i
\(647\) 6.51059 + 12.6288i 0.255958 + 0.496489i 0.981444 0.191748i \(-0.0614155\pi\)
−0.725486 + 0.688236i \(0.758385\pi\)
\(648\) −5.65398 4.44634i −0.222109 0.174669i
\(649\) 10.0035 0.955222i 0.392673 0.0374957i
\(650\) 11.0714 1.59183i 0.434257 0.0624367i
\(651\) 0.269325 + 0.0315630i 0.0105557 + 0.00123705i
\(652\) 82.0513 52.7311i 3.21338 2.06511i
\(653\) −23.1460 + 32.5039i −0.905771 + 1.27198i 0.0560861 + 0.998426i \(0.482138\pi\)
−0.961857 + 0.273552i \(0.911802\pi\)
\(654\) −0.753126 + 3.10443i −0.0294495 + 0.121393i
\(655\) −19.1525 + 6.62875i −0.748351 + 0.259007i
\(656\) 12.7347 66.0741i 0.497208 2.57976i
\(657\) 0.961537 + 3.27469i 0.0375131 + 0.127758i
\(658\) 63.2064 + 30.5212i 2.46404 + 1.18984i
\(659\) −10.4924 16.3265i −0.408727 0.635992i 0.574473 0.818524i \(-0.305207\pi\)
−0.983200 + 0.182532i \(0.941571\pi\)
\(660\) −3.00754 12.3972i −0.117068 0.482561i
\(661\) −26.7766 10.7197i −1.04149 0.416949i −0.213058 0.977040i \(-0.568342\pi\)
−0.828432 + 0.560090i \(0.810766\pi\)
\(662\) 50.1198 + 70.3834i 1.94796 + 2.73553i
\(663\) −3.63694 + 1.45601i −0.141247 + 0.0565467i
\(664\) −67.3903 43.3091i −2.61525 1.68072i
\(665\) 2.30255 13.8914i 0.0892891 0.538685i
\(666\) 1.63465i 0.0633414i
\(667\) −19.2133 + 37.0772i −0.743943 + 1.43564i
\(668\) −79.3751 45.8272i −3.07112 1.77311i
\(669\) −1.46871 + 0.283071i −0.0567837 + 0.0109442i
\(670\) −5.12858 0.244304i −0.198134 0.00943829i
\(671\) −6.83510 0.982738i −0.263866 0.0379382i
\(672\) −24.2599 6.43965i −0.935848 0.248415i
\(673\) 0.675030 + 4.69494i 0.0260205 + 0.180977i 0.998687 0.0512306i \(-0.0163144\pi\)
−0.972666 + 0.232207i \(0.925405\pi\)
\(674\) −11.1271 + 2.69941i −0.428600 + 0.103977i
\(675\) −2.97713 + 0.141818i −0.114590 + 0.00545858i
\(676\) −51.7943 4.94575i −1.99209 0.190221i
\(677\) 0.795343 + 0.758358i 0.0305675 + 0.0291461i 0.705209 0.709000i \(-0.250853\pi\)
−0.674641 + 0.738146i \(0.735702\pi\)
\(678\) 4.28016 4.93957i 0.164379 0.189703i
\(679\) −18.0151 32.8094i −0.691354 1.25911i
\(680\) −26.6300 + 7.81926i −1.02121 + 0.299855i
\(681\) −0.208894 0.148753i −0.00800483 0.00570021i
\(682\) −0.0238947 0.501611i −0.000914975 0.0192077i
\(683\) −36.5336 + 34.8347i −1.39792 + 1.33291i −0.519950 + 0.854197i \(0.674049\pi\)
−0.877970 + 0.478716i \(0.841102\pi\)
\(684\) −14.0285 + 11.0321i −0.536393 + 0.421824i
\(685\) 16.6091 + 7.58511i 0.634600 + 0.289812i
\(686\) −30.4091 + 37.3606i −1.16103 + 1.42643i
\(687\) −14.3185 + 22.2800i −0.546285 + 0.850036i
\(688\) −25.4027 8.79194i −0.968467 0.335190i
\(689\) −9.14263 + 15.8355i −0.348307 + 0.603285i
\(690\) −16.4432 6.62296i −0.625981 0.252132i
\(691\) 9.05152 5.22589i 0.344336 0.198802i −0.317852 0.948140i \(-0.602961\pi\)
0.662188 + 0.749338i \(0.269628\pi\)
\(692\) −47.7251 + 41.3540i −1.81424 + 1.57205i
\(693\) 2.99608 + 3.98284i 0.113812 + 0.151296i
\(694\) 5.33759 37.1237i 0.202612 1.40920i
\(695\) 2.68474 + 28.1159i 0.101838 + 1.06650i
\(696\) −23.2779 + 58.1455i −0.882348 + 2.20400i
\(697\) 13.7373 + 14.4072i 0.520336 + 0.545712i
\(698\) −4.69271 + 9.10259i −0.177622 + 0.344538i
\(699\) 6.03960 2.75819i 0.228439 0.104325i
\(700\) −33.7627 + 16.4986i −1.27611 + 0.623590i
\(701\) −3.48928 3.02348i −0.131788 0.114195i 0.586473 0.809969i \(-0.300516\pi\)
−0.718261 + 0.695774i \(0.755062\pi\)
\(702\) −3.68500 0.710225i −0.139081 0.0268057i
\(703\) −2.28729 0.554890i −0.0862667 0.0209281i
\(704\) −1.13159 + 11.8506i −0.0426485 + 0.446636i
\(705\) 12.8831 + 6.64171i 0.485206 + 0.250141i
\(706\) 2.28741 7.79019i 0.0860877 0.293188i
\(707\) 2.52043 + 2.28048i 0.0947905 + 0.0857661i
\(708\) 10.5604 23.1242i 0.396886 0.869059i
\(709\) −17.1070 42.7313i −0.642469 1.60481i −0.788154 0.615478i \(-0.788963\pi\)
0.145685 0.989331i \(-0.453461\pi\)
\(710\) −29.7151 + 15.3192i −1.11519 + 0.574918i
\(711\) −2.79504 14.5020i −0.104822 0.543869i
\(712\) −41.6977 72.2225i −1.56269 2.70665i
\(713\) −0.412946 0.266612i −0.0154650 0.00998469i
\(714\) 14.3807 11.9304i 0.538186 0.446485i
\(715\) −2.52932 2.91899i −0.0945912 0.109164i
\(716\) 4.54305 95.3703i 0.169782 3.56416i
\(717\) −4.56518 + 5.80509i −0.170490 + 0.216795i
\(718\) 2.42435 1.72637i 0.0904761 0.0644277i
\(719\) −7.64442 9.72067i −0.285089 0.362520i 0.622324 0.782759i \(-0.286188\pi\)
−0.907413 + 0.420240i \(0.861946\pi\)
\(720\) −12.5146 3.67463i −0.466393 0.136945i
\(721\) −16.2613 + 14.8521i −0.605602 + 0.553121i
\(722\) −5.37488 11.7693i −0.200032 0.438010i
\(723\) −14.3775 + 15.0787i −0.534705 + 0.560782i
\(724\) −5.97440 17.2619i −0.222037 0.641533i
\(725\) 8.48831 + 24.5254i 0.315248 + 0.910849i
\(726\) −13.3748 + 14.0271i −0.496387 + 0.520596i
\(727\) 17.1844 + 37.6286i 0.637334 + 1.39557i 0.902216 + 0.431285i \(0.141940\pi\)
−0.264882 + 0.964281i \(0.585333\pi\)
\(728\) −26.8164 + 5.89927i −0.993880 + 0.218642i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 7.79824 + 9.91627i 0.288626 + 0.367018i
\(731\) 6.47781 4.61283i 0.239591 0.170612i
\(732\) −10.7985 + 13.7314i −0.399124 + 0.507527i
\(733\) −0.498863 + 10.4724i −0.0184259 + 0.386808i 0.970752 + 0.240085i \(0.0771754\pi\)
−0.989178 + 0.146722i \(0.953128\pi\)
\(734\) 11.5503 + 13.3297i 0.426328 + 0.492008i
\(735\) −6.47907 + 7.54831i −0.238984 + 0.278424i
\(736\) 34.3223 + 29.8669i 1.26514 + 1.10091i
\(737\) −1.30832 2.26608i −0.0481926 0.0834720i
\(738\) 3.60895 + 18.7250i 0.132847 + 0.689278i
\(739\) 12.4819 6.43489i 0.459156 0.236711i −0.213100 0.977030i \(-0.568356\pi\)
0.672255 + 0.740319i \(0.265326\pi\)
\(740\) −1.58178 3.95110i −0.0581475 0.145245i
\(741\) −2.24468 + 4.91516i −0.0824602 + 0.180563i
\(742\) 18.3393 85.2640i 0.673255 3.13014i
\(743\) −2.53534 + 8.63458i −0.0930126 + 0.316772i −0.992836 0.119482i \(-0.961877\pi\)
0.899824 + 0.436254i \(0.143695\pi\)
\(744\) −0.655261 0.337810i −0.0240230 0.0123847i
\(745\) −1.02480 + 10.7322i −0.0375459 + 0.393198i
\(746\) −14.3904 3.49107i −0.526869 0.127817i
\(747\) 10.9357 + 2.10769i 0.400118 + 0.0771164i
\(748\) −18.4206 15.9615i −0.673524 0.583612i
\(749\) 21.2691 + 43.5249i 0.777155 + 1.59036i
\(750\) −26.8327 + 12.2541i −0.979791 + 0.447455i
\(751\) 20.9060 40.5521i 0.762872 1.47977i −0.111110 0.993808i \(-0.535441\pi\)
0.873982 0.485958i \(-0.161529\pi\)
\(752\) −64.5999 67.7504i −2.35571 2.47060i
\(753\) −1.28287 + 3.20445i −0.0467503 + 0.116777i
\(754\) 3.10621 + 32.5297i 0.113121 + 1.18466i
\(755\) 1.25971 8.76146i 0.0458455 0.318862i
\(756\) 12.5153 1.52609i 0.455178 0.0555035i
\(757\) 26.0163 22.5432i 0.945578 0.819348i −0.0381022 0.999274i \(-0.512131\pi\)
0.983680 + 0.179926i \(0.0575858\pi\)
\(758\) −32.4524 + 18.7364i −1.17872 + 0.680536i
\(759\) −1.69109 8.87445i −0.0613825 0.322122i
\(760\) −19.1406 + 33.1524i −0.694301 + 1.20257i
\(761\) 15.6229 + 5.40715i 0.566330 + 0.196009i 0.595205 0.803574i \(-0.297071\pi\)
−0.0288741 + 0.999583i \(0.509192\pi\)
\(762\) 5.60387 8.71980i 0.203007 0.315885i
\(763\) −1.69769 2.77063i −0.0614605 0.100304i
\(764\) 81.0273 + 37.0039i 2.93146 + 1.33875i
\(765\) 3.03304 2.38521i 0.109660 0.0862375i
\(766\) −4.96564 + 4.73472i −0.179416 + 0.171073i
\(767\) −0.366231 7.68812i −0.0132238 0.277602i
\(768\) −15.6696 11.1583i −0.565428 0.402639i
\(769\) 34.2241 10.0491i 1.23415 0.362380i 0.401338 0.915930i \(-0.368545\pi\)
0.832816 + 0.553550i \(0.186727\pi\)
\(770\) 15.7527 + 9.55130i 0.567688 + 0.344205i
\(771\) 16.2738 18.7809i 0.586086 0.676379i
\(772\) −8.00338 7.63121i −0.288048 0.274653i
\(773\) 0.869388 + 0.0830165i 0.0312697 + 0.00298590i