Properties

Label 585.2.i.h.391.6
Level $585$
Weight $2$
Character 585.391
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 391.6
Character \(\chi\) \(=\) 585.391
Dual form 585.2.i.h.196.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.332241 - 0.575458i) q^{2} +(-0.727463 - 1.57188i) q^{3} +(0.779232 - 1.34967i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-0.662856 + 0.940866i) q^{6} +(-1.40460 - 2.43283i) q^{7} -2.36453 q^{8} +(-1.94159 + 2.28697i) q^{9} +O(q^{10})\) \(q+(-0.332241 - 0.575458i) q^{2} +(-0.727463 - 1.57188i) q^{3} +(0.779232 - 1.34967i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-0.662856 + 0.940866i) q^{6} +(-1.40460 - 2.43283i) q^{7} -2.36453 q^{8} +(-1.94159 + 2.28697i) q^{9} -0.664482 q^{10} +(-0.115146 - 0.199439i) q^{11} +(-2.68838 - 0.243022i) q^{12} +(-0.500000 + 0.866025i) q^{13} +(-0.933329 + 1.61657i) q^{14} +(-1.72502 - 0.155937i) q^{15} +(-0.772870 - 1.33865i) q^{16} -3.24172 q^{17} +(1.96113 + 0.357482i) q^{18} +3.80076 q^{19} +(-0.779232 - 1.34967i) q^{20} +(-2.80232 + 3.97765i) q^{21} +(-0.0765124 + 0.132523i) q^{22} +(1.25026 - 2.16552i) q^{23} +(1.72011 + 3.71676i) q^{24} +(-0.500000 - 0.866025i) q^{25} +0.664482 q^{26} +(5.00727 + 1.38826i) q^{27} -4.37803 q^{28} +(2.64853 + 4.58739i) q^{29} +(0.483386 + 1.04448i) q^{30} +(2.05661 - 3.56215i) q^{31} +(-2.87809 + 4.98500i) q^{32} +(-0.229728 + 0.326080i) q^{33} +(1.07703 + 1.86547i) q^{34} -2.80920 q^{35} +(1.57370 + 4.40259i) q^{36} +2.95700 q^{37} +(-1.26277 - 2.18718i) q^{38} +(1.72502 + 0.155937i) q^{39} +(-1.18227 + 2.04775i) q^{40} +(-1.74574 + 3.02371i) q^{41} +(3.22002 + 0.291080i) q^{42} +(-5.66677 - 9.81514i) q^{43} -0.358902 q^{44} +(1.00977 + 2.82495i) q^{45} -1.66155 q^{46} +(0.720625 + 1.24816i) q^{47} +(-1.54196 + 2.18867i) q^{48} +(-0.445790 + 0.772130i) q^{49} +(-0.332241 + 0.575458i) q^{50} +(2.35823 + 5.09558i) q^{51} +(0.779232 + 1.34967i) q^{52} -3.34833 q^{53} +(-0.864732 - 3.34271i) q^{54} -0.230292 q^{55} +(3.32122 + 5.75252i) q^{56} +(-2.76491 - 5.97432i) q^{57} +(1.75990 - 3.04823i) q^{58} +(-3.89632 + 6.74863i) q^{59} +(-1.55465 + 2.20669i) q^{60} +(-5.04095 - 8.73119i) q^{61} -2.73316 q^{62} +(8.29097 + 1.51131i) q^{63} +0.733399 q^{64} +(0.500000 + 0.866025i) q^{65} +(0.263970 + 0.0238621i) q^{66} +(-1.00966 + 1.74879i) q^{67} +(-2.52605 + 4.37525i) q^{68} +(-4.31345 - 0.389923i) q^{69} +(0.933329 + 1.61657i) q^{70} -3.51686 q^{71} +(4.59096 - 5.40761i) q^{72} -5.30003 q^{73} +(-0.982436 - 1.70163i) q^{74} +(-0.997554 + 1.41594i) q^{75} +(2.96167 - 5.12977i) q^{76} +(-0.323467 + 0.560262i) q^{77} +(-0.483386 - 1.04448i) q^{78} +(2.69870 + 4.67428i) q^{79} -1.54574 q^{80} +(-1.46043 - 8.88072i) q^{81} +2.32003 q^{82} +(-0.0501921 - 0.0869352i) q^{83} +(3.18486 + 6.88173i) q^{84} +(-1.62086 + 2.80741i) q^{85} +(-3.76547 + 6.52198i) q^{86} +(5.28410 - 7.50032i) q^{87} +(0.272266 + 0.471579i) q^{88} +7.04620 q^{89} +(1.29015 - 1.51965i) q^{90} +2.80920 q^{91} +(-1.94849 - 3.37488i) q^{92} +(-7.09538 - 0.641401i) q^{93} +(0.478842 - 0.829379i) q^{94} +(1.90038 - 3.29155i) q^{95} +(9.92951 + 0.897599i) q^{96} +(-1.63221 - 2.82707i) q^{97} +0.592438 q^{98} +(0.679676 + 0.123894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.332241 0.575458i −0.234930 0.406910i 0.724323 0.689461i \(-0.242153\pi\)
−0.959252 + 0.282551i \(0.908819\pi\)
\(3\) −0.727463 1.57188i −0.420001 0.907524i
\(4\) 0.779232 1.34967i 0.389616 0.674835i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) −0.662856 + 0.940866i −0.270610 + 0.384107i
\(7\) −1.40460 2.43283i −0.530888 0.919525i −0.999350 0.0360416i \(-0.988525\pi\)
0.468462 0.883484i \(-0.344808\pi\)
\(8\) −2.36453 −0.835989
\(9\) −1.94159 + 2.28697i −0.647198 + 0.762322i
\(10\) −0.664482 −0.210128
\(11\) −0.115146 0.199439i −0.0347178 0.0601330i 0.848144 0.529765i \(-0.177720\pi\)
−0.882862 + 0.469632i \(0.844387\pi\)
\(12\) −2.68838 0.243022i −0.776068 0.0701543i
\(13\) −0.500000 + 0.866025i −0.138675 + 0.240192i
\(14\) −0.933329 + 1.61657i −0.249443 + 0.432048i
\(15\) −1.72502 0.155937i −0.445397 0.0402626i
\(16\) −0.772870 1.33865i −0.193217 0.334662i
\(17\) −3.24172 −0.786232 −0.393116 0.919489i \(-0.628603\pi\)
−0.393116 + 0.919489i \(0.628603\pi\)
\(18\) 1.96113 + 0.357482i 0.462243 + 0.0842593i
\(19\) 3.80076 0.871954 0.435977 0.899958i \(-0.356403\pi\)
0.435977 + 0.899958i \(0.356403\pi\)
\(20\) −0.779232 1.34967i −0.174242 0.301795i
\(21\) −2.80232 + 3.97765i −0.611517 + 0.867995i
\(22\) −0.0765124 + 0.132523i −0.0163125 + 0.0282541i
\(23\) 1.25026 2.16552i 0.260698 0.451542i −0.705730 0.708481i \(-0.749381\pi\)
0.966428 + 0.256939i \(0.0827141\pi\)
\(24\) 1.72011 + 3.71676i 0.351116 + 0.758680i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) 0.664482 0.130316
\(27\) 5.00727 + 1.38826i 0.963649 + 0.267171i
\(28\) −4.37803 −0.827370
\(29\) 2.64853 + 4.58739i 0.491820 + 0.851857i 0.999956 0.00942032i \(-0.00299862\pi\)
−0.508136 + 0.861277i \(0.669665\pi\)
\(30\) 0.483386 + 1.04448i 0.0882538 + 0.190696i
\(31\) 2.05661 3.56215i 0.369378 0.639782i −0.620090 0.784530i \(-0.712904\pi\)
0.989468 + 0.144749i \(0.0462374\pi\)
\(32\) −2.87809 + 4.98500i −0.508780 + 0.881232i
\(33\) −0.229728 + 0.326080i −0.0399906 + 0.0567632i
\(34\) 1.07703 + 1.86547i 0.184709 + 0.319926i
\(35\) −2.80920 −0.474841
\(36\) 1.57370 + 4.40259i 0.262283 + 0.733765i
\(37\) 2.95700 0.486128 0.243064 0.970010i \(-0.421848\pi\)
0.243064 + 0.970010i \(0.421848\pi\)
\(38\) −1.26277 2.18718i −0.204848 0.354807i
\(39\) 1.72502 + 0.155937i 0.276224 + 0.0249698i
\(40\) −1.18227 + 2.04775i −0.186933 + 0.323777i
\(41\) −1.74574 + 3.02371i −0.272639 + 0.472224i −0.969537 0.244946i \(-0.921230\pi\)
0.696898 + 0.717170i \(0.254563\pi\)
\(42\) 3.22002 + 0.291080i 0.496860 + 0.0449147i
\(43\) −5.66677 9.81514i −0.864175 1.49679i −0.867864 0.496801i \(-0.834508\pi\)
0.00368958 0.999993i \(-0.498826\pi\)
\(44\) −0.358902 −0.0541065
\(45\) 1.00977 + 2.82495i 0.150528 + 0.421119i
\(46\) −1.66155 −0.244983
\(47\) 0.720625 + 1.24816i 0.105114 + 0.182063i 0.913785 0.406199i \(-0.133146\pi\)
−0.808671 + 0.588261i \(0.799813\pi\)
\(48\) −1.54196 + 2.18867i −0.222562 + 0.315908i
\(49\) −0.445790 + 0.772130i −0.0636842 + 0.110304i
\(50\) −0.332241 + 0.575458i −0.0469859 + 0.0813820i
\(51\) 2.35823 + 5.09558i 0.330218 + 0.713524i
\(52\) 0.779232 + 1.34967i 0.108060 + 0.187165i
\(53\) −3.34833 −0.459929 −0.229964 0.973199i \(-0.573861\pi\)
−0.229964 + 0.973199i \(0.573861\pi\)
\(54\) −0.864732 3.34271i −0.117675 0.454885i
\(55\) −0.230292 −0.0310526
\(56\) 3.32122 + 5.75252i 0.443817 + 0.768713i
\(57\) −2.76491 5.97432i −0.366222 0.791318i
\(58\) 1.75990 3.04823i 0.231086 0.400253i
\(59\) −3.89632 + 6.74863i −0.507258 + 0.878596i 0.492707 + 0.870195i \(0.336007\pi\)
−0.999965 + 0.00840088i \(0.997326\pi\)
\(60\) −1.55465 + 2.20669i −0.200705 + 0.284883i
\(61\) −5.04095 8.73119i −0.645428 1.11791i −0.984203 0.177046i \(-0.943346\pi\)
0.338775 0.940868i \(-0.389988\pi\)
\(62\) −2.73316 −0.347112
\(63\) 8.29097 + 1.51131i 1.04456 + 0.190407i
\(64\) 0.733399 0.0916749
\(65\) 0.500000 + 0.866025i 0.0620174 + 0.107417i
\(66\) 0.263970 + 0.0238621i 0.0324925 + 0.00293723i
\(67\) −1.00966 + 1.74879i −0.123350 + 0.213649i −0.921087 0.389357i \(-0.872697\pi\)
0.797737 + 0.603006i \(0.206030\pi\)
\(68\) −2.52605 + 4.37525i −0.306328 + 0.530576i
\(69\) −4.31345 0.389923i −0.519278 0.0469412i
\(70\) 0.933329 + 1.61657i 0.111554 + 0.193218i
\(71\) −3.51686 −0.417375 −0.208687 0.977982i \(-0.566919\pi\)
−0.208687 + 0.977982i \(0.566919\pi\)
\(72\) 4.59096 5.40761i 0.541050 0.637293i
\(73\) −5.30003 −0.620322 −0.310161 0.950684i \(-0.600383\pi\)
−0.310161 + 0.950684i \(0.600383\pi\)
\(74\) −0.982436 1.70163i −0.114206 0.197810i
\(75\) −0.997554 + 1.41594i −0.115188 + 0.163499i
\(76\) 2.96167 5.12977i 0.339727 0.588425i
\(77\) −0.323467 + 0.560262i −0.0368625 + 0.0638478i
\(78\) −0.483386 1.04448i −0.0547327 0.118264i
\(79\) 2.69870 + 4.67428i 0.303627 + 0.525898i 0.976955 0.213446i \(-0.0684689\pi\)
−0.673327 + 0.739344i \(0.735136\pi\)
\(80\) −1.54574 −0.172819
\(81\) −1.46043 8.88072i −0.162270 0.986746i
\(82\) 2.32003 0.256204
\(83\) −0.0501921 0.0869352i −0.00550930 0.00954238i 0.863258 0.504764i \(-0.168420\pi\)
−0.868767 + 0.495221i \(0.835087\pi\)
\(84\) 3.18486 + 6.88173i 0.347496 + 0.750858i
\(85\) −1.62086 + 2.80741i −0.175807 + 0.304506i
\(86\) −3.76547 + 6.52198i −0.406041 + 0.703283i
\(87\) 5.28410 7.50032i 0.566515 0.804119i
\(88\) 0.272266 + 0.471579i 0.0290237 + 0.0502705i
\(89\) 7.04620 0.746896 0.373448 0.927651i \(-0.378175\pi\)
0.373448 + 0.927651i \(0.378175\pi\)
\(90\) 1.29015 1.51965i 0.135994 0.160185i
\(91\) 2.80920 0.294484
\(92\) −1.94849 3.37488i −0.203144 0.351856i
\(93\) −7.09538 0.641401i −0.735756 0.0665102i
\(94\) 0.478842 0.829379i 0.0493888 0.0855439i
\(95\) 1.90038 3.29155i 0.194975 0.337706i
\(96\) 9.92951 + 0.897599i 1.01343 + 0.0916109i
\(97\) −1.63221 2.82707i −0.165726 0.287046i 0.771187 0.636609i \(-0.219663\pi\)
−0.936913 + 0.349563i \(0.886330\pi\)
\(98\) 0.592438 0.0598453
\(99\) 0.679676 + 0.123894i 0.0683100 + 0.0124518i
\(100\) −1.55846 −0.155846
\(101\) −5.57900 9.66312i −0.555132 0.961516i −0.997893 0.0648769i \(-0.979335\pi\)
0.442762 0.896639i \(-0.353999\pi\)
\(102\) 2.14879 3.05002i 0.212762 0.301997i
\(103\) 6.33925 10.9799i 0.624625 1.08188i −0.363988 0.931404i \(-0.618585\pi\)
0.988613 0.150479i \(-0.0480815\pi\)
\(104\) 1.18227 2.04775i 0.115931 0.200798i
\(105\) 2.04359 + 4.41571i 0.199434 + 0.430929i
\(106\) 1.11245 + 1.92682i 0.108051 + 0.187150i
\(107\) 4.15748 0.401919 0.200959 0.979600i \(-0.435594\pi\)
0.200959 + 0.979600i \(0.435594\pi\)
\(108\) 5.77552 5.67638i 0.555750 0.546210i
\(109\) −4.90157 −0.469485 −0.234742 0.972058i \(-0.575425\pi\)
−0.234742 + 0.972058i \(0.575425\pi\)
\(110\) 0.0765124 + 0.132523i 0.00729517 + 0.0126356i
\(111\) −2.15111 4.64804i −0.204174 0.441172i
\(112\) −2.17114 + 3.76053i −0.205154 + 0.355336i
\(113\) 8.07368 13.9840i 0.759508 1.31551i −0.183594 0.983002i \(-0.558773\pi\)
0.943102 0.332504i \(-0.107894\pi\)
\(114\) −2.51935 + 3.57600i −0.235959 + 0.334924i
\(115\) −1.25026 2.16552i −0.116588 0.201936i
\(116\) 8.25528 0.766483
\(117\) −1.00977 2.82495i −0.0933536 0.261167i
\(118\) 5.17807 0.476680
\(119\) 4.55331 + 7.88656i 0.417401 + 0.722960i
\(120\) 4.07886 + 0.368717i 0.372347 + 0.0336591i
\(121\) 5.47348 9.48035i 0.497589 0.861850i
\(122\) −3.34962 + 5.80171i −0.303260 + 0.525262i
\(123\) 6.02286 + 0.544450i 0.543063 + 0.0490914i
\(124\) −3.20515 5.55149i −0.287831 0.498538i
\(125\) −1.00000 −0.0894427
\(126\) −1.88490 5.27322i −0.167921 0.469776i
\(127\) 17.7472 1.57481 0.787404 0.616438i \(-0.211425\pi\)
0.787404 + 0.616438i \(0.211425\pi\)
\(128\) 5.51252 + 9.54796i 0.487242 + 0.843929i
\(129\) −11.3058 + 16.0476i −0.995422 + 1.41291i
\(130\) 0.332241 0.575458i 0.0291394 0.0504710i
\(131\) 7.57097 13.1133i 0.661479 1.14571i −0.318748 0.947839i \(-0.603262\pi\)
0.980227 0.197876i \(-0.0634042\pi\)
\(132\) 0.261088 + 0.564149i 0.0227248 + 0.0491029i
\(133\) −5.33854 9.24661i −0.462910 0.801783i
\(134\) 1.34181 0.115914
\(135\) 3.70590 3.64229i 0.318953 0.313478i
\(136\) 7.66515 0.657281
\(137\) −10.4043 18.0207i −0.888896 1.53961i −0.841182 0.540752i \(-0.818140\pi\)
−0.0477139 0.998861i \(-0.515194\pi\)
\(138\) 1.20872 + 2.61176i 0.102893 + 0.222327i
\(139\) 3.36287 5.82466i 0.285235 0.494041i −0.687431 0.726249i \(-0.741262\pi\)
0.972666 + 0.232208i \(0.0745951\pi\)
\(140\) −2.18902 + 3.79149i −0.185006 + 0.320439i
\(141\) 1.43772 2.04072i 0.121078 0.171860i
\(142\) 1.16844 + 2.02381i 0.0980537 + 0.169834i
\(143\) 0.230292 0.0192580
\(144\) 4.56204 + 0.831587i 0.380170 + 0.0692989i
\(145\) 5.29706 0.439897
\(146\) 1.76089 + 3.04995i 0.145732 + 0.252415i
\(147\) 1.53799 + 0.139030i 0.126851 + 0.0114670i
\(148\) 2.30419 3.99097i 0.189403 0.328056i
\(149\) −11.0995 + 19.2249i −0.909306 + 1.57496i −0.0942751 + 0.995546i \(0.530053\pi\)
−0.815031 + 0.579418i \(0.803280\pi\)
\(150\) 1.14624 + 0.103617i 0.0935903 + 0.00846029i
\(151\) −2.01163 3.48424i −0.163704 0.283544i 0.772490 0.635027i \(-0.219011\pi\)
−0.936194 + 0.351483i \(0.885678\pi\)
\(152\) −8.98702 −0.728944
\(153\) 6.29410 7.41369i 0.508847 0.599362i
\(154\) 0.429876 0.0346404
\(155\) −2.05661 3.56215i −0.165191 0.286119i
\(156\) 1.55465 2.20669i 0.124472 0.176677i
\(157\) −10.9161 + 18.9073i −0.871201 + 1.50896i −0.0104452 + 0.999945i \(0.503325\pi\)
−0.860756 + 0.509019i \(0.830008\pi\)
\(158\) 1.79324 3.10598i 0.142662 0.247098i
\(159\) 2.43579 + 5.26317i 0.193171 + 0.417396i
\(160\) 2.87809 + 4.98500i 0.227533 + 0.394099i
\(161\) −7.02446 −0.553605
\(162\) −4.62527 + 3.79095i −0.363395 + 0.297845i
\(163\) 10.4867 0.821381 0.410690 0.911775i \(-0.365288\pi\)
0.410690 + 0.911775i \(0.365288\pi\)
\(164\) 2.72067 + 4.71235i 0.212449 + 0.367972i
\(165\) 0.167529 + 0.361990i 0.0130421 + 0.0281809i
\(166\) −0.0333517 + 0.0577669i −0.00258859 + 0.00448358i
\(167\) −3.30617 + 5.72645i −0.255839 + 0.443126i −0.965123 0.261797i \(-0.915685\pi\)
0.709284 + 0.704923i \(0.249018\pi\)
\(168\) 6.62619 9.40530i 0.511221 0.725634i
\(169\) −0.500000 0.866025i −0.0384615 0.0666173i
\(170\) 2.15406 0.165209
\(171\) −7.37953 + 8.69220i −0.564327 + 0.664709i
\(172\) −17.6629 −1.34679
\(173\) −8.64411 14.9720i −0.657200 1.13830i −0.981338 0.192293i \(-0.938408\pi\)
0.324138 0.946010i \(-0.394926\pi\)
\(174\) −6.07171 0.548865i −0.460295 0.0416094i
\(175\) −1.40460 + 2.43283i −0.106178 + 0.183905i
\(176\) −0.177986 + 0.308280i −0.0134162 + 0.0232375i
\(177\) 13.4424 + 1.21516i 1.01040 + 0.0913368i
\(178\) −2.34104 4.05479i −0.175468 0.303920i
\(179\) 15.1868 1.13512 0.567558 0.823333i \(-0.307888\pi\)
0.567558 + 0.823333i \(0.307888\pi\)
\(180\) 4.59960 + 0.838433i 0.342834 + 0.0624931i
\(181\) 24.3392 1.80912 0.904559 0.426348i \(-0.140200\pi\)
0.904559 + 0.426348i \(0.140200\pi\)
\(182\) −0.933329 1.61657i −0.0691830 0.119828i
\(183\) −10.0572 + 14.2754i −0.743453 + 1.05527i
\(184\) −2.95629 + 5.12044i −0.217940 + 0.377484i
\(185\) 1.47850 2.56084i 0.108701 0.188276i
\(186\) 1.98827 + 4.29619i 0.145787 + 0.315012i
\(187\) 0.373270 + 0.646523i 0.0272962 + 0.0472785i
\(188\) 2.24614 0.163816
\(189\) −3.65579 14.1318i −0.265919 1.02794i
\(190\) −2.52553 −0.183221
\(191\) −7.13201 12.3530i −0.516054 0.893832i −0.999826 0.0186379i \(-0.994067\pi\)
0.483772 0.875194i \(-0.339266\pi\)
\(192\) −0.533521 1.15281i −0.0385036 0.0831971i
\(193\) −12.7915 + 22.1556i −0.920756 + 1.59480i −0.122507 + 0.992468i \(0.539093\pi\)
−0.798249 + 0.602328i \(0.794240\pi\)
\(194\) −1.08457 + 1.87854i −0.0778679 + 0.134871i
\(195\) 0.997554 1.41594i 0.0714363 0.101398i
\(196\) 0.694747 + 1.20334i 0.0496248 + 0.0859527i
\(197\) 10.2976 0.733675 0.366838 0.930285i \(-0.380440\pi\)
0.366838 + 0.930285i \(0.380440\pi\)
\(198\) −0.154520 0.432288i −0.0109813 0.0307213i
\(199\) 3.31578 0.235049 0.117525 0.993070i \(-0.462504\pi\)
0.117525 + 0.993070i \(0.462504\pi\)
\(200\) 1.18227 + 2.04775i 0.0835989 + 0.144798i
\(201\) 3.48337 + 0.314887i 0.245698 + 0.0222104i
\(202\) −3.70715 + 6.42096i −0.260834 + 0.451777i
\(203\) 7.44024 12.8869i 0.522202 0.904481i
\(204\) 8.71496 + 0.787807i 0.610169 + 0.0551575i
\(205\) 1.74574 + 3.02371i 0.121928 + 0.211185i
\(206\) −8.42463 −0.586972
\(207\) 2.52496 + 7.06386i 0.175497 + 0.490972i
\(208\) 1.54574 0.107178
\(209\) −0.437642 0.758018i −0.0302723 0.0524332i
\(210\) 1.86209 2.64308i 0.128497 0.182390i
\(211\) −5.85961 + 10.1491i −0.403392 + 0.698695i −0.994133 0.108166i \(-0.965502\pi\)
0.590741 + 0.806861i \(0.298836\pi\)
\(212\) −2.60913 + 4.51914i −0.179196 + 0.310376i
\(213\) 2.55839 + 5.52807i 0.175298 + 0.378777i
\(214\) −1.38128 2.39245i −0.0944226 0.163545i
\(215\) −11.3335 −0.772941
\(216\) −11.8399 3.28259i −0.805600 0.223352i
\(217\) −11.5548 −0.784394
\(218\) 1.62850 + 2.82065i 0.110296 + 0.191038i
\(219\) 3.85558 + 8.33100i 0.260536 + 0.562957i
\(220\) −0.179451 + 0.310818i −0.0120986 + 0.0209553i
\(221\) 1.62086 2.80741i 0.109031 0.188847i
\(222\) −1.96006 + 2.78214i −0.131551 + 0.186725i
\(223\) 0.489654 + 0.848106i 0.0327897 + 0.0567934i 0.881955 0.471334i \(-0.156228\pi\)
−0.849165 + 0.528128i \(0.822894\pi\)
\(224\) 16.1702 1.08042
\(225\) 2.95137 + 0.537986i 0.196758 + 0.0358658i
\(226\) −10.7296 −0.713724
\(227\) −7.98509 13.8306i −0.529989 0.917967i −0.999388 0.0349814i \(-0.988863\pi\)
0.469399 0.882986i \(-0.344471\pi\)
\(228\) −10.2179 0.923666i −0.676695 0.0611713i
\(229\) 5.14710 8.91505i 0.340130 0.589123i −0.644326 0.764751i \(-0.722862\pi\)
0.984457 + 0.175628i \(0.0561955\pi\)
\(230\) −0.830776 + 1.43895i −0.0547798 + 0.0948813i
\(231\) 1.11597 + 0.100881i 0.0734257 + 0.00663747i
\(232\) −6.26254 10.8470i −0.411156 0.712143i
\(233\) 7.73176 0.506524 0.253262 0.967398i \(-0.418496\pi\)
0.253262 + 0.967398i \(0.418496\pi\)
\(234\) −1.29015 + 1.51965i −0.0843400 + 0.0993424i
\(235\) 1.44125 0.0940168
\(236\) 6.07228 + 10.5175i 0.395272 + 0.684630i
\(237\) 5.38419 7.64240i 0.349741 0.496427i
\(238\) 3.02559 5.24047i 0.196120 0.339689i
\(239\) −7.30932 + 12.6601i −0.472801 + 0.818915i −0.999515 0.0311272i \(-0.990090\pi\)
0.526715 + 0.850042i \(0.323424\pi\)
\(240\) 1.12447 + 2.42971i 0.0725842 + 0.156837i
\(241\) −7.15642 12.3953i −0.460985 0.798450i 0.538025 0.842929i \(-0.319171\pi\)
−0.999010 + 0.0444789i \(0.985837\pi\)
\(242\) −7.27406 −0.467594
\(243\) −12.8970 + 8.75601i −0.827342 + 0.561698i
\(244\) −15.7123 −1.00588
\(245\) 0.445790 + 0.772130i 0.0284805 + 0.0493296i
\(246\) −1.68773 3.64679i −0.107606 0.232511i
\(247\) −1.90038 + 3.29155i −0.120918 + 0.209436i
\(248\) −4.86292 + 8.42283i −0.308796 + 0.534850i
\(249\) −0.100139 + 0.142138i −0.00634602 + 0.00900763i
\(250\) 0.332241 + 0.575458i 0.0210128 + 0.0363952i
\(251\) −19.0291 −1.20110 −0.600552 0.799586i \(-0.705052\pi\)
−0.600552 + 0.799586i \(0.705052\pi\)
\(252\) 8.50036 10.0124i 0.535472 0.630722i
\(253\) −0.575851 −0.0362034
\(254\) −5.89634 10.2128i −0.369969 0.640805i
\(255\) 5.59202 + 0.505502i 0.350186 + 0.0316558i
\(256\) 4.39637 7.61473i 0.274773 0.475921i
\(257\) 6.97060 12.0734i 0.434814 0.753120i −0.562467 0.826820i \(-0.690147\pi\)
0.997280 + 0.0737002i \(0.0234808\pi\)
\(258\) 12.9910 + 1.17435i 0.808783 + 0.0731117i
\(259\) −4.15339 7.19389i −0.258079 0.447007i
\(260\) 1.55846 0.0966518
\(261\) −15.6336 2.84975i −0.967694 0.176395i
\(262\) −10.0615 −0.621604
\(263\) 5.97895 + 10.3558i 0.368678 + 0.638569i 0.989359 0.145494i \(-0.0464772\pi\)
−0.620681 + 0.784063i \(0.713144\pi\)
\(264\) 0.543201 0.771026i 0.0334317 0.0474534i
\(265\) −1.67417 + 2.89974i −0.102843 + 0.178130i
\(266\) −3.54736 + 6.14421i −0.217503 + 0.376725i
\(267\) −5.12585 11.0758i −0.313697 0.677826i
\(268\) 1.57352 + 2.72543i 0.0961183 + 0.166482i
\(269\) 2.54602 0.155234 0.0776168 0.996983i \(-0.475269\pi\)
0.0776168 + 0.996983i \(0.475269\pi\)
\(270\) −3.32724 0.922474i −0.202489 0.0561400i
\(271\) 16.6012 1.00845 0.504225 0.863572i \(-0.331778\pi\)
0.504225 + 0.863572i \(0.331778\pi\)
\(272\) 2.50542 + 4.33952i 0.151914 + 0.263122i
\(273\) −2.04359 4.41571i −0.123684 0.267251i
\(274\) −6.91344 + 11.9744i −0.417656 + 0.723402i
\(275\) −0.115146 + 0.199439i −0.00694356 + 0.0120266i
\(276\) −3.88744 + 5.51789i −0.233997 + 0.332138i
\(277\) 8.95287 + 15.5068i 0.537926 + 0.931714i 0.999016 + 0.0443610i \(0.0141252\pi\)
−0.461090 + 0.887353i \(0.652541\pi\)
\(278\) −4.46913 −0.268041
\(279\) 4.15342 + 11.6197i 0.248659 + 0.695650i
\(280\) 6.64244 0.396962
\(281\) −2.36433 4.09514i −0.141044 0.244296i 0.786846 0.617149i \(-0.211713\pi\)
−0.927890 + 0.372854i \(0.878379\pi\)
\(282\) −1.65202 0.149338i −0.0983765 0.00889295i
\(283\) 2.98943 5.17785i 0.177703 0.307791i −0.763390 0.645938i \(-0.776467\pi\)
0.941094 + 0.338146i \(0.109800\pi\)
\(284\) −2.74045 + 4.74660i −0.162616 + 0.281659i
\(285\) −6.55637 0.592677i −0.388366 0.0351072i
\(286\) −0.0765124 0.132523i −0.00452427 0.00783627i
\(287\) 9.80825 0.578963
\(288\) −5.81244 16.2609i −0.342502 0.958185i
\(289\) −6.49128 −0.381840
\(290\) −1.75990 3.04823i −0.103345 0.178998i
\(291\) −3.25644 + 4.62223i −0.190896 + 0.270960i
\(292\) −4.12996 + 7.15330i −0.241687 + 0.418615i
\(293\) 7.80549 13.5195i 0.456002 0.789818i −0.542744 0.839898i \(-0.682614\pi\)
0.998745 + 0.0500805i \(0.0159478\pi\)
\(294\) −0.430977 0.931240i −0.0251351 0.0543110i
\(295\) 3.89632 + 6.74863i 0.226853 + 0.392920i
\(296\) −6.99193 −0.406397
\(297\) −0.299694 1.15850i −0.0173900 0.0672227i
\(298\) 14.7508 0.854492
\(299\) 1.25026 + 2.16552i 0.0723045 + 0.125235i
\(300\) 1.13373 + 2.44971i 0.0654557 + 0.141434i
\(301\) −15.9191 + 27.5726i −0.917560 + 1.58926i
\(302\) −1.33669 + 2.31522i −0.0769179 + 0.133226i
\(303\) −11.1307 + 15.7991i −0.639443 + 0.907633i
\(304\) −2.93749 5.08788i −0.168477 0.291810i
\(305\) −10.0819 −0.577288
\(306\) −6.35742 1.15886i −0.363430 0.0662474i
\(307\) 23.7975 1.35819 0.679097 0.734048i \(-0.262371\pi\)
0.679097 + 0.734048i \(0.262371\pi\)
\(308\) 0.504112 + 0.873148i 0.0287245 + 0.0497523i
\(309\) −21.8706 1.97704i −1.24418 0.112470i
\(310\) −1.36658 + 2.36699i −0.0776165 + 0.134436i
\(311\) −0.779514 + 1.35016i −0.0442022 + 0.0765604i −0.887280 0.461231i \(-0.847408\pi\)
0.843078 + 0.537791i \(0.180741\pi\)
\(312\) −4.07886 0.368717i −0.230920 0.0208745i
\(313\) 13.7455 + 23.8079i 0.776941 + 1.34570i 0.933697 + 0.358064i \(0.116563\pi\)
−0.156756 + 0.987637i \(0.550104\pi\)
\(314\) 14.5071 0.818684
\(315\) 5.45432 6.42453i 0.307316 0.361982i
\(316\) 8.41165 0.473192
\(317\) 7.65181 + 13.2533i 0.429768 + 0.744381i 0.996852 0.0792791i \(-0.0252618\pi\)
−0.567084 + 0.823660i \(0.691929\pi\)
\(318\) 2.21946 3.15033i 0.124461 0.176662i
\(319\) 0.609935 1.05644i 0.0341498 0.0591492i
\(320\) 0.366700 0.635142i 0.0204991 0.0355055i
\(321\) −3.02441 6.53504i −0.168806 0.364751i
\(322\) 2.33381 + 4.04228i 0.130058 + 0.225268i
\(323\) −12.3210 −0.685557
\(324\) −13.1240 4.94905i −0.729114 0.274947i
\(325\) 1.00000 0.0554700
\(326\) −3.48411 6.03465i −0.192967 0.334228i
\(327\) 3.56571 + 7.70466i 0.197184 + 0.426069i
\(328\) 4.12786 7.14967i 0.227923 0.394774i
\(329\) 2.02438 3.50632i 0.111608 0.193310i
\(330\) 0.152650 0.216674i 0.00840313 0.0119275i
\(331\) 6.68506 + 11.5789i 0.367444 + 0.636432i 0.989165 0.146807i \(-0.0468995\pi\)
−0.621721 + 0.783239i \(0.713566\pi\)
\(332\) −0.156445 −0.00858604
\(333\) −5.74129 + 6.76256i −0.314621 + 0.370586i
\(334\) 4.39377 0.240417
\(335\) 1.00966 + 1.74879i 0.0551638 + 0.0955466i
\(336\) 7.49051 + 0.677121i 0.408641 + 0.0369400i
\(337\) −17.4801 + 30.2764i −0.952200 + 1.64926i −0.211552 + 0.977367i \(0.567852\pi\)
−0.740648 + 0.671893i \(0.765481\pi\)
\(338\) −0.332241 + 0.575458i −0.0180715 + 0.0313008i
\(339\) −27.8545 2.51796i −1.51285 0.136757i
\(340\) 2.52605 + 4.37525i 0.136994 + 0.237281i
\(341\) −0.947241 −0.0512960
\(342\) 7.45378 + 1.35870i 0.403054 + 0.0734702i
\(343\) −17.1597 −0.926539
\(344\) 13.3993 + 23.2082i 0.722441 + 1.25130i
\(345\) −2.49441 + 3.54059i −0.134294 + 0.190619i
\(346\) −5.74385 + 9.94864i −0.308791 + 0.534842i
\(347\) 12.1455 21.0367i 0.652007 1.12931i −0.330629 0.943761i \(-0.607261\pi\)
0.982635 0.185548i \(-0.0594059\pi\)
\(348\) −6.00541 12.9763i −0.321924 0.695602i
\(349\) −16.1586 27.9875i −0.864951 1.49814i −0.867096 0.498141i \(-0.834016\pi\)
0.00214531 0.999998i \(-0.499317\pi\)
\(350\) 1.86666 0.0997771
\(351\) −3.70590 + 3.64229i −0.197807 + 0.194411i
\(352\) 1.32560 0.0706548
\(353\) 17.0661 + 29.5593i 0.908334 + 1.57328i 0.816378 + 0.577518i \(0.195979\pi\)
0.0919565 + 0.995763i \(0.470688\pi\)
\(354\) −3.76685 8.13928i −0.200206 0.432598i
\(355\) −1.75843 + 3.04569i −0.0933278 + 0.161649i
\(356\) 5.49063 9.51004i 0.291003 0.504031i
\(357\) 9.08433 12.8944i 0.480794 0.682445i
\(358\) −5.04568 8.73938i −0.266673 0.461890i
\(359\) 25.3297 1.33685 0.668426 0.743779i \(-0.266968\pi\)
0.668426 + 0.743779i \(0.266968\pi\)
\(360\) −2.38764 6.67970i −0.125840 0.352051i
\(361\) −4.55424 −0.239697
\(362\) −8.08647 14.0062i −0.425016 0.736149i
\(363\) −18.8837 1.70703i −0.991137 0.0895960i
\(364\) 2.18902 3.79149i 0.114736 0.198728i
\(365\) −2.65002 + 4.58996i −0.138708 + 0.240250i
\(366\) 11.5563 + 1.04466i 0.604058 + 0.0546051i
\(367\) −1.79298 3.10554i −0.0935930 0.162108i 0.815428 0.578859i \(-0.196502\pi\)
−0.909021 + 0.416751i \(0.863169\pi\)
\(368\) −3.86516 −0.201485
\(369\) −3.52561 9.86327i −0.183536 0.513461i
\(370\) −1.96487 −0.102149
\(371\) 4.70306 + 8.14594i 0.244171 + 0.422916i
\(372\) −6.39462 + 9.07661i −0.331546 + 0.470600i
\(373\) −0.717545 + 1.24282i −0.0371531 + 0.0643510i −0.884004 0.467479i \(-0.845162\pi\)
0.846851 + 0.531830i \(0.178496\pi\)
\(374\) 0.248031 0.429603i 0.0128254 0.0222142i
\(375\) 0.727463 + 1.57188i 0.0375661 + 0.0811714i
\(376\) −1.70394 2.95132i −0.0878741 0.152202i
\(377\) −5.29706 −0.272812
\(378\) −6.91766 + 6.79891i −0.355806 + 0.349698i
\(379\) 34.5139 1.77286 0.886429 0.462864i \(-0.153178\pi\)
0.886429 + 0.462864i \(0.153178\pi\)
\(380\) −2.96167 5.12977i −0.151931 0.263151i
\(381\) −12.9104 27.8964i −0.661421 1.42917i
\(382\) −4.73909 + 8.20834i −0.242473 + 0.419975i
\(383\) −3.32127 + 5.75260i −0.169709 + 0.293944i −0.938317 0.345775i \(-0.887616\pi\)
0.768609 + 0.639719i \(0.220949\pi\)
\(384\) 10.9981 15.6108i 0.561243 0.796635i
\(385\) 0.323467 + 0.560262i 0.0164854 + 0.0285536i
\(386\) 16.9995 0.865251
\(387\) 33.4495 + 6.09729i 1.70033 + 0.309943i
\(388\) −5.08748 −0.258278
\(389\) −15.0663 26.0956i −0.763893 1.32310i −0.940830 0.338879i \(-0.889952\pi\)
0.176937 0.984222i \(-0.443381\pi\)
\(390\) −1.14624 0.103617i −0.0580422 0.00524685i
\(391\) −4.05300 + 7.01999i −0.204969 + 0.355016i
\(392\) 1.05408 1.82573i 0.0532393 0.0922132i
\(393\) −26.1201 2.36118i −1.31759 0.119106i
\(394\) −3.42129 5.92585i −0.172362 0.298540i
\(395\) 5.39740 0.271573
\(396\) 0.696841 0.820796i 0.0350176 0.0412465i
\(397\) 25.4593 1.27777 0.638883 0.769304i \(-0.279397\pi\)
0.638883 + 0.769304i \(0.279397\pi\)
\(398\) −1.10164 1.90809i −0.0552201 0.0956440i
\(399\) −10.6510 + 15.1181i −0.533214 + 0.756851i
\(400\) −0.772870 + 1.33865i −0.0386435 + 0.0669325i
\(401\) 5.17727 8.96730i 0.258541 0.447805i −0.707311 0.706903i \(-0.750092\pi\)
0.965851 + 0.259097i \(0.0834251\pi\)
\(402\) −0.976115 2.10915i −0.0486842 0.105195i
\(403\) 2.05661 + 3.56215i 0.102447 + 0.177444i
\(404\) −17.3894 −0.865153
\(405\) −8.42114 3.17559i −0.418450 0.157796i
\(406\) −9.88780 −0.490723
\(407\) −0.340486 0.589740i −0.0168773 0.0292323i
\(408\) −5.57611 12.0487i −0.276059 0.596498i
\(409\) −14.1797 + 24.5600i −0.701142 + 1.21441i 0.266923 + 0.963718i \(0.413993\pi\)
−0.968066 + 0.250696i \(0.919340\pi\)
\(410\) 1.16001 2.00920i 0.0572889 0.0992273i
\(411\) −20.7576 + 29.4636i −1.02390 + 1.45333i
\(412\) −9.87950 17.1118i −0.486728 0.843037i
\(413\) 21.8911 1.07719
\(414\) 3.22606 3.79991i 0.158552 0.186756i
\(415\) −0.100384 −0.00492766
\(416\) −2.87809 4.98500i −0.141110 0.244410i
\(417\) −11.6020 1.04879i −0.568153 0.0513594i
\(418\) −0.290805 + 0.503689i −0.0142237 + 0.0246362i
\(419\) 5.32788 9.22817i 0.260284 0.450825i −0.706033 0.708179i \(-0.749517\pi\)
0.966317 + 0.257353i \(0.0828504\pi\)
\(420\) 7.55218 + 0.682695i 0.368509 + 0.0333121i
\(421\) −2.97812 5.15826i −0.145145 0.251398i 0.784282 0.620404i \(-0.213031\pi\)
−0.929427 + 0.369006i \(0.879698\pi\)
\(422\) 7.78720 0.379075
\(423\) −4.25366 0.775373i −0.206820 0.0376999i
\(424\) 7.91724 0.384495
\(425\) 1.62086 + 2.80741i 0.0786232 + 0.136179i
\(426\) 2.33117 3.30890i 0.112946 0.160317i
\(427\) −14.1610 + 24.5276i −0.685300 + 1.18697i
\(428\) 3.23964 5.61122i 0.156594 0.271229i
\(429\) −0.167529 0.361990i −0.00808837 0.0174771i
\(430\) 3.76547 + 6.52198i 0.181587 + 0.314518i
\(431\) −29.7924 −1.43505 −0.717524 0.696534i \(-0.754725\pi\)
−0.717524 + 0.696534i \(0.754725\pi\)
\(432\) −2.01157 7.77592i −0.0967817 0.374119i
\(433\) −18.3601 −0.882332 −0.441166 0.897426i \(-0.645435\pi\)
−0.441166 + 0.897426i \(0.645435\pi\)
\(434\) 3.83899 + 6.64932i 0.184277 + 0.319178i
\(435\) −3.85342 8.32632i −0.184757 0.399217i
\(436\) −3.81946 + 6.61550i −0.182919 + 0.316825i
\(437\) 4.75194 8.23061i 0.227316 0.393723i
\(438\) 3.51316 4.98662i 0.167865 0.238270i
\(439\) −7.50668 13.0020i −0.358274 0.620549i 0.629398 0.777083i \(-0.283301\pi\)
−0.987673 + 0.156534i \(0.949968\pi\)
\(440\) 0.544533 0.0259596
\(441\) −0.900294 2.51867i −0.0428711 0.119937i
\(442\) −2.15406 −0.102458
\(443\) 9.83816 + 17.0402i 0.467425 + 0.809604i 0.999307 0.0372145i \(-0.0118485\pi\)
−0.531882 + 0.846818i \(0.678515\pi\)
\(444\) −7.94953 0.718615i −0.377268 0.0341039i
\(445\) 3.52310 6.10219i 0.167011 0.289272i
\(446\) 0.325366 0.563551i 0.0154065 0.0266849i
\(447\) 38.2936 + 3.46163i 1.81123 + 0.163730i
\(448\) −1.03013 1.78424i −0.0486691 0.0842974i
\(449\) 22.3106 1.05290 0.526452 0.850205i \(-0.323522\pi\)
0.526452 + 0.850205i \(0.323522\pi\)
\(450\) −0.670976 1.87713i −0.0316301 0.0884887i
\(451\) 0.804060 0.0378617
\(452\) −12.5825 21.7936i −0.591833 1.02508i
\(453\) −4.01342 + 5.69669i −0.188567 + 0.267654i
\(454\) −5.30594 + 9.19016i −0.249020 + 0.431316i
\(455\) 1.40460 2.43283i 0.0658486 0.114053i
\(456\) 6.53773 + 14.1265i 0.306157 + 0.661533i
\(457\) 17.5884 + 30.4640i 0.822751 + 1.42505i 0.903626 + 0.428323i \(0.140895\pi\)
−0.0808747 + 0.996724i \(0.525771\pi\)
\(458\) −6.84031 −0.319627
\(459\) −16.2321 4.50035i −0.757651 0.210058i
\(460\) −3.89698 −0.181698
\(461\) 19.8328 + 34.3514i 0.923706 + 1.59991i 0.793629 + 0.608402i \(0.208189\pi\)
0.130077 + 0.991504i \(0.458478\pi\)
\(462\) −0.312719 0.675713i −0.0145490 0.0314370i
\(463\) −2.66388 + 4.61398i −0.123801 + 0.214430i −0.921264 0.388939i \(-0.872842\pi\)
0.797463 + 0.603369i \(0.206175\pi\)
\(464\) 4.09394 7.09090i 0.190056 0.329187i
\(465\) −4.10316 + 5.82407i −0.190279 + 0.270085i
\(466\) −2.56880 4.44930i −0.118998 0.206110i
\(467\) 6.02093 0.278615 0.139308 0.990249i \(-0.455512\pi\)
0.139308 + 0.990249i \(0.455512\pi\)
\(468\) −4.59960 0.838433i −0.212617 0.0387566i
\(469\) 5.67269 0.261940
\(470\) −0.478842 0.829379i −0.0220873 0.0382564i
\(471\) 37.6610 + 3.40444i 1.73533 + 0.156868i
\(472\) 9.21298 15.9574i 0.424062 0.734497i
\(473\) −1.30501 + 2.26035i −0.0600045 + 0.103931i
\(474\) −6.18673 0.559262i −0.284166 0.0256878i
\(475\) −1.90038 3.29155i −0.0871954 0.151027i
\(476\) 14.1923 0.650504
\(477\) 6.50110 7.65752i 0.297665 0.350614i
\(478\) 9.71382 0.444300
\(479\) 10.2229 + 17.7066i 0.467098 + 0.809037i 0.999293 0.0375843i \(-0.0119663\pi\)
−0.532196 + 0.846621i \(0.678633\pi\)
\(480\) 5.74210 8.15041i 0.262090 0.372014i
\(481\) −1.47850 + 2.56084i −0.0674138 + 0.116764i
\(482\) −4.75531 + 8.23643i −0.216598 + 0.375159i
\(483\) 5.11004 + 11.0416i 0.232515 + 0.502410i
\(484\) −8.53023 14.7748i −0.387738 0.671581i
\(485\) −3.26442 −0.148230
\(486\) 9.32362 + 4.51257i 0.422928 + 0.204694i
\(487\) −11.8179 −0.535518 −0.267759 0.963486i \(-0.586283\pi\)
−0.267759 + 0.963486i \(0.586283\pi\)
\(488\) 11.9195 + 20.6452i 0.539571 + 0.934564i
\(489\) −7.62868 16.4838i −0.344981 0.745422i
\(490\) 0.296219 0.513066i 0.0133818 0.0231780i
\(491\) 21.0956 36.5387i 0.952031 1.64897i 0.211011 0.977484i \(-0.432324\pi\)
0.741020 0.671483i \(-0.234342\pi\)
\(492\) 5.42804 7.70463i 0.244715 0.347351i
\(493\) −8.58578 14.8710i −0.386684 0.669756i
\(494\) 2.52553 0.113629
\(495\) 0.447133 0.526670i 0.0200971 0.0236720i
\(496\) −6.35797 −0.285481
\(497\) 4.93978 + 8.55594i 0.221579 + 0.383787i
\(498\) 0.115065 + 0.0104015i 0.00515617 + 0.000466102i
\(499\) 18.8086 32.5775i 0.841989 1.45837i −0.0462216 0.998931i \(-0.514718\pi\)
0.888211 0.459437i \(-0.151949\pi\)
\(500\) −0.779232 + 1.34967i −0.0348483 + 0.0603591i
\(501\) 11.4064 + 1.03110i 0.509600 + 0.0460663i
\(502\) 6.32223 + 10.9504i 0.282175 + 0.488741i
\(503\) 29.4702 1.31401 0.657005 0.753886i \(-0.271823\pi\)
0.657005 + 0.753886i \(0.271823\pi\)
\(504\) −19.6043 3.57354i −0.873244 0.159178i
\(505\) −11.1580 −0.496525
\(506\) 0.191321 + 0.331378i 0.00850526 + 0.0147315i
\(507\) −0.997554 + 1.41594i −0.0443029 + 0.0628841i
\(508\) 13.8292 23.9528i 0.613570 1.06273i
\(509\) 10.5176 18.2170i 0.466185 0.807456i −0.533069 0.846071i \(-0.678962\pi\)
0.999254 + 0.0386160i \(0.0122949\pi\)
\(510\) −1.56700 3.38592i −0.0693879 0.149931i
\(511\) 7.44442 + 12.8941i 0.329322 + 0.570402i
\(512\) 16.2075 0.716275
\(513\) 19.0314 + 5.27645i 0.840257 + 0.232961i
\(514\) −9.26367 −0.408603
\(515\) −6.33925 10.9799i −0.279341 0.483833i
\(516\) 12.8491 + 27.7639i 0.565652 + 1.22224i
\(517\) 0.165954 0.287441i 0.00729865 0.0126416i
\(518\) −2.75985 + 4.78021i −0.121261 + 0.210030i
\(519\) −17.2459 + 24.4791i −0.757012 + 1.07451i
\(520\) −1.18227 2.04775i −0.0518458 0.0897996i
\(521\) 30.7616 1.34769 0.673845 0.738873i \(-0.264642\pi\)
0.673845 + 0.738873i \(0.264642\pi\)
\(522\) 3.55420 + 9.94326i 0.155563 + 0.435205i
\(523\) −14.0570 −0.614672 −0.307336 0.951601i \(-0.599438\pi\)
−0.307336 + 0.951601i \(0.599438\pi\)
\(524\) −11.7991 20.4366i −0.515446 0.892778i
\(525\) 4.84591 + 0.438056i 0.211493 + 0.0191183i
\(526\) 3.97290 6.88127i 0.173227 0.300038i
\(527\) −6.66695 + 11.5475i −0.290417 + 0.503017i
\(528\) 0.614056 + 0.0555089i 0.0267234 + 0.00241572i
\(529\) 8.37369 + 14.5037i 0.364073 + 0.630594i
\(530\) 2.22491 0.0966437
\(531\) −7.86881 22.0138i −0.341477 0.955319i
\(532\) −16.6398 −0.721428
\(533\) −1.74574 3.02371i −0.0756164 0.130971i
\(534\) −4.67062 + 6.62953i −0.202117 + 0.286888i
\(535\) 2.07874 3.60048i 0.0898717 0.155662i
\(536\) 2.38738 4.13507i 0.103119 0.178608i
\(537\) −11.0479 23.8718i −0.476750 1.03014i
\(538\) −0.845892 1.46513i −0.0364690 0.0631661i
\(539\) 0.205324 0.00884391
\(540\) −2.02813 7.83994i −0.0872768 0.337377i
\(541\) 16.4764 0.708374 0.354187 0.935175i \(-0.384758\pi\)
0.354187 + 0.935175i \(0.384758\pi\)
\(542\) −5.51559 9.55328i −0.236915 0.410349i
\(543\) −17.7059 38.2582i −0.759832 1.64182i
\(544\) 9.32996 16.1600i 0.400019 0.692852i
\(545\) −2.45078 + 4.24488i −0.104980 + 0.181831i
\(546\) −1.86209 + 2.64308i −0.0796902 + 0.113113i
\(547\) 23.0919 + 39.9964i 0.987339 + 1.71012i 0.631044 + 0.775747i \(0.282627\pi\)
0.356295 + 0.934374i \(0.384040\pi\)
\(548\) −32.4293 −1.38531
\(549\) 29.7554 + 5.42393i 1.26993 + 0.231488i
\(550\) 0.153025 0.00652500
\(551\) 10.0664 + 17.4355i 0.428844 + 0.742779i
\(552\) 10.1993 + 0.921987i 0.434111 + 0.0392424i
\(553\) 7.58117 13.1310i 0.322384 0.558386i
\(554\) 5.94901 10.3040i 0.252749 0.437775i
\(555\) −5.10087 0.461104i −0.216520 0.0195728i
\(556\) −5.24091 9.07752i −0.222264 0.384973i
\(557\) −38.2914 −1.62246 −0.811229 0.584728i \(-0.801201\pi\)
−0.811229 + 0.584728i \(0.801201\pi\)
\(558\) 5.30668 6.25064i 0.224650 0.264611i
\(559\) 11.3335 0.479358
\(560\) 2.17114 + 3.76053i 0.0917475 + 0.158911i
\(561\) 0.744715 1.05706i 0.0314419 0.0446290i
\(562\) −1.57105 + 2.72115i −0.0662709 + 0.114785i
\(563\) 5.14550 8.91227i 0.216857 0.375607i −0.736988 0.675905i \(-0.763753\pi\)
0.953845 + 0.300298i \(0.0970861\pi\)
\(564\) −1.63398 3.53065i −0.0688031 0.148667i
\(565\) −8.07368 13.9840i −0.339662 0.588312i
\(566\) −3.97285 −0.166991
\(567\) −19.5540 + 16.0268i −0.821191 + 0.673063i
\(568\) 8.31574 0.348921
\(569\) 6.01983 + 10.4266i 0.252364 + 0.437108i 0.964176 0.265262i \(-0.0854586\pi\)
−0.711812 + 0.702370i \(0.752125\pi\)
\(570\) 1.83723 + 3.96983i 0.0769532 + 0.166278i
\(571\) −10.2247 + 17.7097i −0.427890 + 0.741127i −0.996685 0.0813519i \(-0.974076\pi\)
0.568796 + 0.822479i \(0.307410\pi\)
\(572\) 0.179451 0.310818i 0.00750322 0.0129960i
\(573\) −14.2291 + 20.1970i −0.594430 + 0.843742i
\(574\) −3.25870 5.64424i −0.136016 0.235586i
\(575\) −2.50052 −0.104279
\(576\) −1.42396 + 1.67726i −0.0593318 + 0.0698858i
\(577\) 8.66059 0.360545 0.180273 0.983617i \(-0.442302\pi\)
0.180273 + 0.983617i \(0.442302\pi\)
\(578\) 2.15667 + 3.73546i 0.0897055 + 0.155375i
\(579\) 44.1313 + 3.98934i 1.83403 + 0.165791i
\(580\) 4.12764 7.14928i 0.171391 0.296858i
\(581\) −0.140999 + 0.244218i −0.00584964 + 0.0101319i
\(582\) 3.74182 + 0.338250i 0.155103 + 0.0140209i
\(583\) 0.385547 + 0.667787i 0.0159677 + 0.0276569i
\(584\) 12.5321 0.518582
\(585\) −2.95137 0.537986i −0.122024 0.0222430i
\(586\) −10.3732 −0.428513
\(587\) −19.6997 34.1208i −0.813092 1.40832i −0.910690 0.413091i \(-0.864449\pi\)
0.0975972 0.995226i \(-0.468884\pi\)
\(588\) 1.38610 1.96744i 0.0571616 0.0811359i
\(589\) 7.81668 13.5389i 0.322081 0.557860i
\(590\) 2.58903 4.48434i 0.106589 0.184617i
\(591\) −7.49114 16.1866i −0.308145 0.665828i
\(592\) −2.28537 3.95839i −0.0939283 0.162689i
\(593\) 4.26159 0.175002 0.0875012 0.996164i \(-0.472112\pi\)
0.0875012 + 0.996164i \(0.472112\pi\)
\(594\) −0.567095 + 0.557360i −0.0232682 + 0.0228688i
\(595\) 9.10661 0.373335
\(596\) 17.2982 + 29.9613i 0.708560 + 1.22726i
\(597\) −2.41211 5.21200i −0.0987211 0.213313i
\(598\) 0.830776 1.43895i 0.0339730 0.0588429i
\(599\) 13.3206 23.0720i 0.544266 0.942696i −0.454387 0.890805i \(-0.650142\pi\)
0.998653 0.0518919i \(-0.0165251\pi\)
\(600\) 2.35875 3.34804i 0.0962955 0.136683i
\(601\) −21.2732 36.8462i −0.867751 1.50299i −0.864289 0.502995i \(-0.832231\pi\)
−0.00346220 0.999994i \(-0.501102\pi\)
\(602\) 21.1559 0.862249
\(603\) −2.03906 5.70450i −0.0830371 0.232305i
\(604\) −6.27010 −0.255127
\(605\) −5.47348 9.48035i −0.222529 0.385431i
\(606\) 12.7898 + 1.15616i 0.519549 + 0.0469657i
\(607\) −5.14131 + 8.90502i −0.208679 + 0.361443i −0.951299 0.308270i \(-0.900250\pi\)
0.742619 + 0.669714i \(0.233583\pi\)
\(608\) −10.9389 + 18.9468i −0.443632 + 0.768393i
\(609\) −25.6691 2.32041i −1.04016 0.0940278i
\(610\) 3.34962 + 5.80171i 0.135622 + 0.234904i
\(611\) −1.44125 −0.0583067
\(612\) −5.10148 14.2719i −0.206215 0.576909i
\(613\) 2.78688 0.112561 0.0562804 0.998415i \(-0.482076\pi\)
0.0562804 + 0.998415i \(0.482076\pi\)
\(614\) −7.90650 13.6945i −0.319080 0.552663i
\(615\) 3.48294 4.94373i 0.140446 0.199350i
\(616\) 0.764850 1.32476i 0.0308167 0.0533761i
\(617\) −21.4024 + 37.0700i −0.861627 + 1.49238i 0.00873099 + 0.999962i \(0.497221\pi\)
−0.870358 + 0.492420i \(0.836113\pi\)
\(618\) 6.12861 + 13.2425i 0.246529 + 0.532691i
\(619\) −3.74849 6.49257i −0.150664 0.260958i 0.780807 0.624772i \(-0.214808\pi\)
−0.931472 + 0.363813i \(0.881475\pi\)
\(620\) −6.41031 −0.257444
\(621\) 9.26670 9.10764i 0.371860 0.365477i
\(622\) 1.03594 0.0415376
\(623\) −9.89708 17.1422i −0.396518 0.686790i
\(624\) −1.12447 2.42971i −0.0450148 0.0972663i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 9.13363 15.8199i 0.365053 0.632291i
\(627\) −0.873142 + 1.23935i −0.0348699 + 0.0494948i
\(628\) 17.0124 + 29.4663i 0.678868 + 1.17583i
\(629\) −9.58575 −0.382209
\(630\) −5.50920 1.00424i −0.219492 0.0400098i
\(631\) 2.02620 0.0806619 0.0403310 0.999186i \(-0.487159\pi\)
0.0403310 + 0.999186i \(0.487159\pi\)
\(632\) −6.38117 11.0525i −0.253829 0.439645i
\(633\) 20.2158 + 1.82745i 0.803507 + 0.0726348i
\(634\) 5.08449 8.80659i 0.201931 0.349754i
\(635\) 8.87359 15.3695i 0.352138 0.609920i
\(636\) 9.00158 + 0.813717i 0.356936 + 0.0322660i
\(637\) −0.445790 0.772130i −0.0176628 0.0305929i
\(638\) −0.810581 −0.0320912
\(639\) 6.82832 8.04294i 0.270124 0.318174i
\(640\) 11.0250 0.435803
\(641\) −2.06080 3.56940i −0.0813965 0.140983i 0.822453 0.568832i \(-0.192605\pi\)
−0.903850 + 0.427849i \(0.859271\pi\)
\(642\) −2.75581 + 3.91163i −0.108763 + 0.154380i
\(643\) 10.1784 17.6295i 0.401396 0.695239i −0.592499 0.805572i \(-0.701858\pi\)
0.993895 + 0.110333i \(0.0351917\pi\)
\(644\) −5.47369 + 9.48070i −0.215693 + 0.373592i
\(645\) 8.24474 + 17.8149i 0.324636 + 0.701462i
\(646\) 4.09353 + 7.09020i 0.161058 + 0.278960i
\(647\) −9.76640 −0.383957 −0.191978 0.981399i \(-0.561490\pi\)
−0.191978 + 0.981399i \(0.561490\pi\)
\(648\) 3.45323 + 20.9988i 0.135656 + 0.824909i
\(649\) 1.79458 0.0704435
\(650\) −0.332241 0.575458i −0.0130316 0.0225713i
\(651\) 8.40572 + 18.1628i 0.329446 + 0.711856i
\(652\) 8.17156 14.1536i 0.320023 0.554296i
\(653\) −24.6834 + 42.7529i −0.965937 + 1.67305i −0.258861 + 0.965915i \(0.583347\pi\)
−0.707076 + 0.707137i \(0.749986\pi\)
\(654\) 3.24903 4.61172i 0.127047 0.180332i
\(655\) −7.57097 13.1133i −0.295822 0.512379i
\(656\) 5.39692 0.210714
\(657\) 10.2905 12.1210i 0.401471 0.472885i
\(658\) −2.69032 −0.104880
\(659\) 3.52180 + 6.09994i 0.137190 + 0.237620i 0.926432 0.376462i \(-0.122860\pi\)
−0.789242 + 0.614082i \(0.789526\pi\)
\(660\) 0.619112 + 0.0559659i 0.0240989 + 0.00217847i
\(661\) 11.1100 19.2430i 0.432128 0.748467i −0.564929 0.825140i \(-0.691096\pi\)
0.997056 + 0.0766727i \(0.0244296\pi\)
\(662\) 4.44210 7.69394i 0.172647 0.299034i
\(663\) −5.59202 0.505502i −0.217176 0.0196321i
\(664\) 0.118681 + 0.205561i 0.00460571 + 0.00797733i
\(665\) −10.6771 −0.414039
\(666\) 5.79906 + 1.05707i 0.224709 + 0.0409608i
\(667\) 13.2454 0.512865
\(668\) 5.15254 + 8.92446i 0.199358 + 0.345298i
\(669\) 0.976913 1.38664i 0.0377696 0.0536107i
\(670\) 0.670903 1.16204i 0.0259192 0.0448934i
\(671\) −1.16089 + 2.01072i −0.0448157 + 0.0776230i
\(672\) −11.7633 25.4176i −0.453778 0.980506i
\(673\) 5.46905 + 9.47267i 0.210816 + 0.365145i 0.951970 0.306191i \(-0.0990545\pi\)
−0.741154 + 0.671335i \(0.765721\pi\)
\(674\) 23.2304 0.894801
\(675\) −1.30136 5.03055i −0.0500895 0.193626i
\(676\) −1.55846 −0.0599409
\(677\) −4.35062 7.53550i −0.167208 0.289613i 0.770229 0.637767i \(-0.220142\pi\)
−0.937437 + 0.348154i \(0.886808\pi\)
\(678\) 7.80541 + 16.8656i 0.299765 + 0.647721i
\(679\) −4.58520 + 7.94180i −0.175964 + 0.304778i
\(680\) 3.83257 6.63821i 0.146972 0.254564i
\(681\) −15.9311 + 22.6128i −0.610481 + 0.866525i
\(682\) 0.314712 + 0.545098i 0.0120510 + 0.0208729i
\(683\) 7.83468 0.299786 0.149893 0.988702i \(-0.452107\pi\)
0.149893 + 0.988702i \(0.452107\pi\)
\(684\) 5.98124 + 16.7332i 0.228698 + 0.639809i
\(685\) −20.8085 −0.795053
\(686\) 5.70117 + 9.87471i 0.217672 + 0.377018i
\(687\) −17.7577 1.60524i −0.677498 0.0612439i
\(688\) −8.75935 + 15.1716i −0.333947 + 0.578413i
\(689\) 1.67417 2.89974i 0.0637806 0.110471i
\(690\) 2.86621 + 0.259097i 0.109115 + 0.00986365i
\(691\) 18.7536 + 32.4822i 0.713420 + 1.23568i 0.963566 + 0.267472i \(0.0861882\pi\)
−0.250145 + 0.968208i \(0.580478\pi\)
\(692\) −26.9431 −1.02422
\(693\) −0.653258 1.82756i −0.0248152 0.0694233i
\(694\) −16.1410 −0.612703
\(695\) −3.36287 5.82466i −0.127561 0.220942i
\(696\) −12.4944 + 17.7348i −0.473600 + 0.672234i
\(697\) 5.65920 9.80201i 0.214357 0.371278i
\(698\) −10.7371 + 18.5972i −0.406405 + 0.703915i
\(699\) −5.62457 12.1534i −0.212741 0.459683i
\(700\) 2.18902 + 3.79149i 0.0827370 + 0.143305i
\(701\) −34.0001 −1.28416 −0.642082 0.766636i \(-0.721929\pi\)
−0.642082 + 0.766636i \(0.721929\pi\)
\(702\) 3.32724 + 0.922474i 0.125578 + 0.0348166i
\(703\) 11.2388 0.423881
\(704\) −0.0844479 0.146268i −0.00318275 0.00551269i
\(705\) −1.04846 2.26547i −0.0394872 0.0853225i
\(706\) 11.3401 19.6416i 0.426789 0.739221i
\(707\) −15.6725 + 27.1456i −0.589426 + 1.02091i
\(708\) 12.1148 17.1960i 0.455304 0.646264i
\(709\) 20.4335 + 35.3919i 0.767397 + 1.32917i 0.938970 + 0.343999i \(0.111782\pi\)
−0.171573 + 0.985171i \(0.554885\pi\)
\(710\) 2.33689 0.0877019
\(711\) −15.9297 2.90373i −0.597411 0.108898i
\(712\) −16.6610 −0.624397
\(713\) −5.14260 8.90725i −0.192592 0.333579i
\(714\) −10.4384 0.943600i −0.390647 0.0353133i
\(715\) 0.115146 0.199439i 0.00430621 0.00745858i
\(716\) 11.8341 20.4972i 0.442260 0.766016i
\(717\) 25.2174 + 2.27958i 0.941761 + 0.0851325i
\(718\) −8.41556 14.5762i −0.314066 0.543978i
\(719\) −33.2593 −1.24036 −0.620181 0.784459i \(-0.712941\pi\)
−0.620181 + 0.784459i \(0.712941\pi\)
\(720\) 3.00120 3.53505i 0.111848 0.131744i
\(721\) −35.6164 −1.32642
\(722\) 1.51310 + 2.62077i 0.0563119 + 0.0975351i
\(723\) −14.2778 + 20.2661i −0.530998 + 0.753705i
\(724\) 18.9659 32.8499i 0.704862 1.22086i
\(725\) 2.64853 4.58739i 0.0983639 0.170371i
\(726\) 5.29161 + 11.4339i 0.196390 + 0.424353i
\(727\) −7.54471 13.0678i −0.279818 0.484659i 0.691521 0.722356i \(-0.256941\pi\)
−0.971339 + 0.237697i \(0.923607\pi\)
\(728\) −6.64244 −0.246185
\(729\) 23.1455 + 13.9028i 0.857239 + 0.514918i
\(730\) 3.52178 0.130347
\(731\) 18.3701 + 31.8179i 0.679441 + 1.17683i
\(732\) 11.4301 + 24.6978i 0.422469 + 0.912856i
\(733\) 3.43481 5.94926i 0.126867 0.219741i −0.795594 0.605830i \(-0.792841\pi\)
0.922461 + 0.386089i \(0.126174\pi\)
\(734\) −1.19140 + 2.06357i −0.0439756 + 0.0761679i
\(735\) 0.889398 1.26242i 0.0328059 0.0465652i
\(736\) 7.19674 + 12.4651i 0.265275 + 0.459470i
\(737\) 0.465035 0.0171298
\(738\) −4.50455 + 5.30582i −0.165815 + 0.195310i
\(739\) 53.1537 1.95529 0.977645 0.210265i \(-0.0674326\pi\)
0.977645 + 0.210265i \(0.0674326\pi\)
\(740\) −2.30419 3.99097i −0.0847037 0.146711i
\(741\) 6.55637 + 0.592677i 0.240854 + 0.0217725i
\(742\) 3.12510 5.41283i 0.114726 0.198711i
\(743\) −21.3602 + 36.9969i −0.783629 + 1.35729i 0.146185 + 0.989257i \(0.453300\pi\)
−0.929815 + 0.368028i \(0.880033\pi\)
\(744\) 16.7773 + 1.51662i 0.615084 + 0.0556018i
\(745\) 11.0995 + 19.2249i 0.406654 + 0.704345i
\(746\) 0.953590 0.0349134
\(747\) 0.296271 + 0.0540053i 0.0108400 + 0.00197595i
\(748\) 1.16346 0.0425402
\(749\) −5.83959 10.1145i −0.213374 0.369574i
\(750\) 0.662856 0.940866i 0.0242041 0.0343556i
\(751\) −8.29029 + 14.3592i −0.302517 + 0.523975i −0.976705 0.214585i \(-0.931160\pi\)
0.674188 + 0.738559i \(0.264494\pi\)
\(752\) 1.11390 1.92933i 0.0406197 0.0703554i
\(753\) 13.8429 + 29.9113i 0.504465 + 1.09003i
\(754\) 1.75990 + 3.04823i 0.0640917 + 0.111010i
\(755\) −4.02326 −0.146421
\(756\) −21.9220 6.07785i −0.797294 0.221049i
\(757\) −28.7091 −1.04345 −0.521725 0.853114i \(-0.674711\pi\)
−0.521725 + 0.853114i \(0.674711\pi\)
\(758\) −11.4669 19.8613i −0.416497 0.721394i
\(759\) 0.418910 + 0.905166i 0.0152055 + 0.0328555i
\(760\) −4.49351 + 7.78299i −0.162997 + 0.282319i
\(761\) 3.37843 5.85160i 0.122468 0.212121i −0.798272 0.602296i \(-0.794253\pi\)
0.920740 + 0.390176i \(0.127586\pi\)
\(762\) −11.7638 + 16.6977i −0.426158 + 0.604895i
\(763\) 6.88473 + 11.9247i 0.249244 + 0.431703i
\(764\) −22.2300 −0.804252
\(765\) −3.27340 9.15769i −0.118350 0.331097i
\(766\) 4.41384 0.159479
\(767\) −3.89632 6.74863i −0.140688 0.243679i
\(768\) −15.1676 1.37111i −0.547314 0.0494756i
\(769\) 14.3441 24.8447i 0.517262 0.895923i −0.482537 0.875875i \(-0.660285\pi\)
0.999799 0.0200481i \(-0.00638193\pi\)
\(770\) 0.214938 0.372284i 0.00774583 0.0134162i
\(771\) −24.0488 2.17394i −0.866096 0.0782926i
\(772\) 19.9352 + 34.5287i 0.717482 + 1.24272i
\(773\) 33.4431 1.20286 0.601432 0.798924i \(-0.294597\pi\)
0.601432 + 0.798924i \(0.294597\pi\)
\(774\) −7.60454 21.2745i −0.273339 0.764697i