Properties

Label 64.2.i.a.21.4
Level $64$
Weight $2$
Character 64.21
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 21.4
Character \(\chi\) \(=\) 64.21
Dual form 64.2.i.a.61.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0941531 - 1.41108i) q^{2} +(0.553854 + 2.78441i) q^{3} +(-1.98227 - 0.265714i) q^{4} +(2.59756 - 1.73564i) q^{5} +(3.98116 - 0.519369i) q^{6} +(-1.96508 - 0.813965i) q^{7} +(-0.561580 + 2.77212i) q^{8} +(-4.67456 + 1.93627i) q^{9} +O(q^{10})\) \(q+(0.0941531 - 1.41108i) q^{2} +(0.553854 + 2.78441i) q^{3} +(-1.98227 - 0.265714i) q^{4} +(2.59756 - 1.73564i) q^{5} +(3.98116 - 0.519369i) q^{6} +(-1.96508 - 0.813965i) q^{7} +(-0.561580 + 2.77212i) q^{8} +(-4.67456 + 1.93627i) q^{9} +(-2.20455 - 3.82878i) q^{10} +(-2.02382 - 0.402563i) q^{11} +(-0.358030 - 5.66663i) q^{12} +(-1.99644 - 1.33398i) q^{13} +(-1.33358 + 2.69625i) q^{14} +(6.27140 + 6.27140i) q^{15} +(3.85879 + 1.05344i) q^{16} +(-2.31120 + 2.31120i) q^{17} +(2.29209 + 6.77846i) q^{18} +(2.37703 - 3.55748i) q^{19} +(-5.61026 + 2.75029i) q^{20} +(1.17804 - 5.92242i) q^{21} +(-0.758596 + 2.81786i) q^{22} +(0.993213 + 2.39783i) q^{23} +(-8.02975 - 0.0283233i) q^{24} +(1.82149 - 4.39746i) q^{25} +(-2.07032 + 2.69153i) q^{26} +(-3.24866 - 4.86196i) q^{27} +(3.67905 + 2.13565i) q^{28} +(2.34079 - 0.465613i) q^{29} +(9.43989 - 8.25895i) q^{30} -1.81094i q^{31} +(1.84980 - 5.34586i) q^{32} -5.85811i q^{33} +(3.04367 + 3.47888i) q^{34} +(-6.51718 + 1.29635i) q^{35} +(9.78074 - 2.59610i) q^{36} +(1.40742 + 2.10635i) q^{37} +(-4.79607 - 3.68912i) q^{38} +(2.60861 - 6.29775i) q^{39} +(3.35265 + 8.17545i) q^{40} +(4.66056 + 11.2516i) q^{41} +(-8.24607 - 2.21992i) q^{42} +(0.452227 - 2.27350i) q^{43} +(3.90479 + 1.33575i) q^{44} +(-8.78181 + 13.1429i) q^{45} +(3.47703 - 1.17574i) q^{46} +(-2.27298 + 2.27298i) q^{47} +(-0.795992 + 11.3279i) q^{48} +(-1.75073 - 1.75073i) q^{49} +(-6.03365 - 2.98429i) q^{50} +(-7.71539 - 5.15526i) q^{51} +(3.60303 + 3.17479i) q^{52} +(7.98970 + 1.58925i) q^{53} +(-7.16647 + 4.12634i) q^{54} +(-5.95570 + 2.46693i) q^{55} +(3.35996 - 4.99034i) q^{56} +(11.2220 + 4.64831i) q^{57} +(-0.436622 - 3.34687i) q^{58} +(7.08029 - 4.73090i) q^{59} +(-10.7652 - 14.0980i) q^{60} +(-1.95998 - 9.85346i) q^{61} +(-2.55537 - 0.170505i) q^{62} +10.7620 q^{63} +(-7.36926 - 3.11353i) q^{64} -7.50119 q^{65} +(-8.26624 - 0.551559i) q^{66} +(2.88943 + 14.5262i) q^{67} +(5.19553 - 3.96730i) q^{68} +(-6.12645 + 4.09356i) q^{69} +(1.21563 + 9.31829i) q^{70} +(-6.41451 - 2.65698i) q^{71} +(-2.74241 - 14.0458i) q^{72} +(-3.36337 + 1.39315i) q^{73} +(3.10474 - 1.78766i) q^{74} +(13.2532 + 2.63622i) q^{75} +(-5.65719 + 6.42027i) q^{76} +(3.64930 + 2.43839i) q^{77} +(-8.64099 - 4.27390i) q^{78} +(-10.9490 - 10.9490i) q^{79} +(11.8518 - 3.96109i) q^{80} +(1.00516 - 1.00516i) q^{81} +(16.3157 - 5.51703i) q^{82} +(-3.72793 + 5.57925i) q^{83} +(-3.90887 + 11.4268i) q^{84} +(-1.99208 + 10.0149i) q^{85} +(-3.16550 - 0.852183i) q^{86} +(2.59292 + 6.25985i) q^{87} +(2.25249 - 5.38419i) q^{88} +(-3.10595 + 7.49842i) q^{89} +(17.7188 + 13.6293i) q^{90} +(2.83736 + 4.24642i) q^{91} +(-1.33168 - 5.01705i) q^{92} +(5.04240 - 1.00299i) q^{93} +(2.99334 + 3.42136i) q^{94} -13.3664i q^{95} +(15.9096 + 2.18976i) q^{96} -8.49286i q^{97} +(-2.63525 + 2.30558i) q^{98} +(10.2399 - 2.03685i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{13}{16}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0941531 1.41108i 0.0665763 0.997781i
\(3\) 0.553854 + 2.78441i 0.319768 + 1.60758i 0.721898 + 0.691999i \(0.243270\pi\)
−0.402131 + 0.915582i \(0.631730\pi\)
\(4\) −1.98227 0.265714i −0.991135 0.132857i
\(5\) 2.59756 1.73564i 1.16167 0.776200i 0.183295 0.983058i \(-0.441324\pi\)
0.978371 + 0.206858i \(0.0663237\pi\)
\(6\) 3.98116 0.519369i 1.62530 0.212031i
\(7\) −1.96508 0.813965i −0.742732 0.307650i −0.0209598 0.999780i \(-0.506672\pi\)
−0.721772 + 0.692131i \(0.756672\pi\)
\(8\) −0.561580 + 2.77212i −0.198549 + 0.980091i
\(9\) −4.67456 + 1.93627i −1.55819 + 0.645422i
\(10\) −2.20455 3.82878i −0.697139 1.21077i
\(11\) −2.02382 0.402563i −0.610205 0.121377i −0.119692 0.992811i \(-0.538191\pi\)
−0.490513 + 0.871434i \(0.663191\pi\)
\(12\) −0.358030 5.66663i −0.103354 1.63581i
\(13\) −1.99644 1.33398i −0.553713 0.369979i 0.247011 0.969013i \(-0.420552\pi\)
−0.800724 + 0.599033i \(0.795552\pi\)
\(14\) −1.33358 + 2.69625i −0.356415 + 0.720602i
\(15\) 6.27140 + 6.27140i 1.61927 + 1.61927i
\(16\) 3.85879 + 1.05344i 0.964698 + 0.263359i
\(17\) −2.31120 + 2.31120i −0.560547 + 0.560547i −0.929463 0.368916i \(-0.879729\pi\)
0.368916 + 0.929463i \(0.379729\pi\)
\(18\) 2.29209 + 6.77846i 0.540252 + 1.59770i
\(19\) 2.37703 3.55748i 0.545328 0.816142i −0.451780 0.892129i \(-0.649211\pi\)
0.997109 + 0.0759875i \(0.0242109\pi\)
\(20\) −5.61026 + 2.75029i −1.25449 + 0.614984i
\(21\) 1.17804 5.92242i 0.257070 1.29238i
\(22\) −0.758596 + 2.81786i −0.161733 + 0.600770i
\(23\) 0.993213 + 2.39783i 0.207099 + 0.499982i 0.992964 0.118417i \(-0.0377819\pi\)
−0.785865 + 0.618398i \(0.787782\pi\)
\(24\) −8.02975 0.0283233i −1.63907 0.00578146i
\(25\) 1.82149 4.39746i 0.364297 0.879491i
\(26\) −2.07032 + 2.69153i −0.406023 + 0.527853i
\(27\) −3.24866 4.86196i −0.625205 0.935685i
\(28\) 3.67905 + 2.13565i 0.695274 + 0.403600i
\(29\) 2.34079 0.465613i 0.434674 0.0864621i 0.0270970 0.999633i \(-0.491374\pi\)
0.407577 + 0.913171i \(0.366374\pi\)
\(30\) 9.43989 8.25895i 1.72348 1.50787i
\(31\) 1.81094i 0.325254i −0.986688 0.162627i \(-0.948003\pi\)
0.986688 0.162627i \(-0.0519967\pi\)
\(32\) 1.84980 5.34586i 0.327001 0.945024i
\(33\) 5.85811i 1.01977i
\(34\) 3.04367 + 3.47888i 0.521985 + 0.596623i
\(35\) −6.51718 + 1.29635i −1.10160 + 0.219123i
\(36\) 9.78074 2.59610i 1.63012 0.432684i
\(37\) 1.40742 + 2.10635i 0.231378 + 0.346282i 0.928932 0.370250i \(-0.120728\pi\)
−0.697554 + 0.716533i \(0.745728\pi\)
\(38\) −4.79607 3.68912i −0.778025 0.598454i
\(39\) 2.60861 6.29775i 0.417712 1.00845i
\(40\) 3.35265 + 8.17545i 0.530100 + 1.29265i
\(41\) 4.66056 + 11.2516i 0.727858 + 1.75720i 0.649607 + 0.760270i \(0.274933\pi\)
0.0782501 + 0.996934i \(0.475067\pi\)
\(42\) −8.24607 2.21992i −1.27240 0.342542i
\(43\) 0.452227 2.27350i 0.0689639 0.346705i −0.930862 0.365371i \(-0.880942\pi\)
0.999826 + 0.0186663i \(0.00594202\pi\)
\(44\) 3.90479 + 1.33575i 0.588669 + 0.201371i
\(45\) −8.78181 + 13.1429i −1.30912 + 1.95923i
\(46\) 3.47703 1.17574i 0.512660 0.173353i
\(47\) −2.27298 + 2.27298i −0.331549 + 0.331549i −0.853174 0.521626i \(-0.825326\pi\)
0.521626 + 0.853174i \(0.325326\pi\)
\(48\) −0.795992 + 11.3279i −0.114892 + 1.63504i
\(49\) −1.75073 1.75073i −0.250104 0.250104i
\(50\) −6.03365 2.98429i −0.853287 0.422042i
\(51\) −7.71539 5.15526i −1.08037 0.721881i
\(52\) 3.60303 + 3.17479i 0.499650 + 0.440264i
\(53\) 7.98970 + 1.58925i 1.09747 + 0.218300i 0.710433 0.703764i \(-0.248499\pi\)
0.387036 + 0.922065i \(0.373499\pi\)
\(54\) −7.16647 + 4.12634i −0.975233 + 0.561523i
\(55\) −5.95570 + 2.46693i −0.803067 + 0.332641i
\(56\) 3.35996 4.99034i 0.448993 0.666862i
\(57\) 11.2220 + 4.64831i 1.48639 + 0.615684i
\(58\) −0.436622 3.34687i −0.0573312 0.439466i
\(59\) 7.08029 4.73090i 0.921775 0.615911i −0.00152111 0.999999i \(-0.500484\pi\)
0.923296 + 0.384088i \(0.125484\pi\)
\(60\) −10.7652 14.0980i −1.38978 1.82005i
\(61\) −1.95998 9.85346i −0.250949 1.26161i −0.876492 0.481417i \(-0.840122\pi\)
0.625543 0.780190i \(-0.284878\pi\)
\(62\) −2.55537 0.170505i −0.324532 0.0216542i
\(63\) 10.7620 1.35588
\(64\) −7.36926 3.11353i −0.921157 0.389191i
\(65\) −7.50119 −0.930408
\(66\) −8.26624 0.551559i −1.01750 0.0678923i
\(67\) 2.88943 + 14.5262i 0.353000 + 1.77465i 0.594342 + 0.804212i \(0.297413\pi\)
−0.241342 + 0.970440i \(0.577587\pi\)
\(68\) 5.19553 3.96730i 0.630051 0.481106i
\(69\) −6.12645 + 4.09356i −0.737537 + 0.492807i
\(70\) 1.21563 + 9.31829i 0.145296 + 1.11375i
\(71\) −6.41451 2.65698i −0.761263 0.315325i −0.0319351 0.999490i \(-0.510167\pi\)
−0.729328 + 0.684165i \(0.760167\pi\)
\(72\) −2.74241 14.0458i −0.323197 1.65531i
\(73\) −3.36337 + 1.39315i −0.393653 + 0.163056i −0.570724 0.821142i \(-0.693338\pi\)
0.177072 + 0.984198i \(0.443338\pi\)
\(74\) 3.10474 1.78766i 0.360918 0.207811i
\(75\) 13.2532 + 2.63622i 1.53034 + 0.304404i
\(76\) −5.65719 + 6.42027i −0.648925 + 0.736456i
\(77\) 3.64930 + 2.43839i 0.415877 + 0.277880i
\(78\) −8.64099 4.27390i −0.978400 0.483924i
\(79\) −10.9490 10.9490i −1.23186 1.23186i −0.963247 0.268617i \(-0.913433\pi\)
−0.268617 0.963247i \(-0.586567\pi\)
\(80\) 11.8518 3.96109i 1.32508 0.442864i
\(81\) 1.00516 1.00516i 0.111685 0.111685i
\(82\) 16.3157 5.51703i 1.80176 0.609255i
\(83\) −3.72793 + 5.57925i −0.409194 + 0.612402i −0.977632 0.210324i \(-0.932548\pi\)
0.568438 + 0.822726i \(0.307548\pi\)
\(84\) −3.90887 + 11.4268i −0.426493 + 1.24677i
\(85\) −1.99208 + 10.0149i −0.216072 + 1.08627i
\(86\) −3.16550 0.852183i −0.341344 0.0918932i
\(87\) 2.59292 + 6.25985i 0.277990 + 0.671126i
\(88\) 2.25249 5.38419i 0.240116 0.573957i
\(89\) −3.10595 + 7.49842i −0.329230 + 0.794831i 0.669420 + 0.742884i \(0.266543\pi\)
−0.998650 + 0.0519471i \(0.983457\pi\)
\(90\) 17.7188 + 13.6293i 1.86773 + 1.43665i
\(91\) 2.83736 + 4.24642i 0.297437 + 0.445145i
\(92\) −1.33168 5.01705i −0.138837 0.523064i
\(93\) 5.04240 1.00299i 0.522872 0.104006i
\(94\) 2.99334 + 3.42136i 0.308740 + 0.352887i
\(95\) 13.3664i 1.37137i
\(96\) 15.9096 + 2.18976i 1.62377 + 0.223492i
\(97\) 8.49286i 0.862319i −0.902276 0.431160i \(-0.858105\pi\)
0.902276 0.431160i \(-0.141895\pi\)
\(98\) −2.63525 + 2.30558i −0.266200 + 0.232898i
\(99\) 10.2399 2.03685i 1.02915 0.204711i
\(100\) −4.77915 + 8.23295i −0.477915 + 0.823295i
\(101\) −8.24152 12.3343i −0.820062 1.22731i −0.971074 0.238777i \(-0.923253\pi\)
0.151013 0.988532i \(-0.451747\pi\)
\(102\) −8.00089 + 10.4016i −0.792206 + 1.02991i
\(103\) −2.14828 + 5.18641i −0.211676 + 0.511032i −0.993681 0.112241i \(-0.964197\pi\)
0.782005 + 0.623273i \(0.214197\pi\)
\(104\) 4.81911 4.78523i 0.472553 0.469231i
\(105\) −7.21913 17.4285i −0.704515 1.70085i
\(106\) 2.99481 11.1244i 0.290881 1.08050i
\(107\) 2.52870 12.7126i 0.244458 1.22897i −0.642195 0.766541i \(-0.721976\pi\)
0.886654 0.462434i \(-0.153024\pi\)
\(108\) 5.14783 + 10.5009i 0.495350 + 1.01045i
\(109\) 5.38971 8.06626i 0.516240 0.772608i −0.478162 0.878272i \(-0.658697\pi\)
0.994402 + 0.105664i \(0.0336967\pi\)
\(110\) 2.92028 + 8.63622i 0.278438 + 0.823431i
\(111\) −5.08545 + 5.08545i −0.482689 + 0.482689i
\(112\) −6.72539 5.21101i −0.635490 0.492394i
\(113\) 4.75634 + 4.75634i 0.447439 + 0.447439i 0.894502 0.447063i \(-0.147530\pi\)
−0.447063 + 0.894502i \(0.647530\pi\)
\(114\) 7.61571 15.3975i 0.713277 1.44210i
\(115\) 6.74169 + 4.50465i 0.628666 + 0.420061i
\(116\) −4.76380 + 0.300988i −0.442308 + 0.0279460i
\(117\) 11.9154 + 2.37013i 1.10158 + 0.219118i
\(118\) −6.00903 10.4363i −0.553176 0.960735i
\(119\) 6.42293 2.66046i 0.588789 0.243884i
\(120\) −20.9069 + 13.8632i −1.90853 + 1.26553i
\(121\) −6.22889 2.58009i −0.566262 0.234554i
\(122\) −14.0885 + 1.83794i −1.27551 + 0.166399i
\(123\) −28.7478 + 19.2087i −2.59210 + 1.73199i
\(124\) −0.481192 + 3.58977i −0.0432123 + 0.322371i
\(125\) 0.146412 + 0.736062i 0.0130955 + 0.0658354i
\(126\) 1.01327 15.1859i 0.0902694 1.35287i
\(127\) 0.302397 0.0268334 0.0134167 0.999910i \(-0.495729\pi\)
0.0134167 + 0.999910i \(0.495729\pi\)
\(128\) −5.08727 + 10.1054i −0.449655 + 0.893202i
\(129\) 6.58082 0.579409
\(130\) −0.706261 + 10.5847i −0.0619432 + 0.928344i
\(131\) −1.05063 5.28186i −0.0917938 0.461478i −0.999154 0.0411246i \(-0.986906\pi\)
0.907360 0.420354i \(-0.138094\pi\)
\(132\) −1.55658 + 11.6124i −0.135483 + 1.01073i
\(133\) −7.56673 + 5.05593i −0.656119 + 0.438404i
\(134\) 20.7696 2.70953i 1.79422 0.234067i
\(135\) −16.8772 6.99077i −1.45256 0.601669i
\(136\) −5.10898 7.70483i −0.438092 0.660683i
\(137\) 15.9084 6.58948i 1.35915 0.562978i 0.420324 0.907374i \(-0.361917\pi\)
0.938824 + 0.344397i \(0.111917\pi\)
\(138\) 5.19950 + 9.03030i 0.442611 + 0.768710i
\(139\) 11.7049 + 2.32824i 0.992793 + 0.197479i 0.664654 0.747151i \(-0.268579\pi\)
0.328138 + 0.944630i \(0.393579\pi\)
\(140\) 13.2633 0.838003i 1.12095 0.0708241i
\(141\) −7.58783 5.07002i −0.639010 0.426973i
\(142\) −4.35314 + 8.80120i −0.365308 + 0.738581i
\(143\) 3.50343 + 3.50343i 0.292971 + 0.292971i
\(144\) −20.0779 + 2.54730i −1.67316 + 0.212275i
\(145\) 5.27222 5.27222i 0.437834 0.437834i
\(146\) 1.64917 + 4.87714i 0.136487 + 0.403635i
\(147\) 3.90511 5.84440i 0.322088 0.482038i
\(148\) −2.23020 4.54933i −0.183321 0.373953i
\(149\) −2.62919 + 13.2179i −0.215392 + 1.08285i 0.710106 + 0.704095i \(0.248647\pi\)
−0.925498 + 0.378753i \(0.876353\pi\)
\(150\) 4.96773 18.4530i 0.405614 1.50668i
\(151\) −0.726711 1.75444i −0.0591389 0.142774i 0.891548 0.452926i \(-0.149620\pi\)
−0.950687 + 0.310152i \(0.899620\pi\)
\(152\) 8.52685 + 8.58722i 0.691619 + 0.696515i
\(153\) 6.32873 15.2789i 0.511648 1.23523i
\(154\) 3.78434 4.91986i 0.304951 0.396454i
\(155\) −3.14313 4.70402i −0.252462 0.377836i
\(156\) −6.84438 + 11.7907i −0.547989 + 0.944011i
\(157\) −18.2962 + 3.63933i −1.46019 + 0.290450i −0.860365 0.509679i \(-0.829764\pi\)
−0.599828 + 0.800129i \(0.704764\pi\)
\(158\) −16.4808 + 14.4191i −1.31114 + 1.14712i
\(159\) 23.1268i 1.83408i
\(160\) −4.47352 17.0968i −0.353662 1.35162i
\(161\) 5.52037i 0.435066i
\(162\) −1.32372 1.51300i −0.104002 0.118873i
\(163\) −3.25039 + 0.646543i −0.254590 + 0.0506412i −0.320735 0.947169i \(-0.603930\pi\)
0.0661449 + 0.997810i \(0.478930\pi\)
\(164\) −6.24878 23.5421i −0.487948 1.83833i
\(165\) −10.1676 15.2168i −0.791543 1.18463i
\(166\) 7.52174 + 5.78570i 0.583800 + 0.449057i
\(167\) 0.0933446 0.225354i 0.00722322 0.0174384i −0.920227 0.391386i \(-0.871996\pi\)
0.927450 + 0.373947i \(0.121996\pi\)
\(168\) 15.7561 + 6.59159i 1.21561 + 0.508552i
\(169\) −2.76861 6.68401i −0.212970 0.514154i
\(170\) 13.9442 + 3.75391i 1.06947 + 0.287912i
\(171\) −4.22335 + 21.2322i −0.322968 + 1.62367i
\(172\) −1.50054 + 4.38652i −0.114415 + 0.334469i
\(173\) −8.24361 + 12.3374i −0.626750 + 0.937998i 0.373197 + 0.927752i \(0.378261\pi\)
−0.999948 + 0.0102459i \(0.996739\pi\)
\(174\) 9.07726 3.06942i 0.688145 0.232692i
\(175\) −7.15875 + 7.15875i −0.541151 + 0.541151i
\(176\) −7.38542 3.68537i −0.556697 0.277795i
\(177\) 17.0942 + 17.0942i 1.28488 + 1.28488i
\(178\) 10.2884 + 5.08873i 0.771149 + 0.381416i
\(179\) 9.58585 + 6.40506i 0.716480 + 0.478736i 0.859599 0.510969i \(-0.170713\pi\)
−0.143119 + 0.989705i \(0.545713\pi\)
\(180\) 20.9002 23.7194i 1.55781 1.76794i
\(181\) −8.33755 1.65844i −0.619726 0.123271i −0.124765 0.992186i \(-0.539818\pi\)
−0.494961 + 0.868915i \(0.664818\pi\)
\(182\) 6.25916 3.60392i 0.463960 0.267141i
\(183\) 26.3506 10.9148i 1.94789 0.806842i
\(184\) −7.20482 + 1.40673i −0.531147 + 0.103705i
\(185\) 7.31172 + 3.02862i 0.537569 + 0.222668i
\(186\) −0.940544 7.20964i −0.0689641 0.528636i
\(187\) 5.60785 3.74704i 0.410086 0.274011i
\(188\) 5.10963 3.90170i 0.372658 0.284561i
\(189\) 2.42642 + 12.1985i 0.176496 + 0.887307i
\(190\) −18.8611 1.25849i −1.36833 0.0913007i
\(191\) 6.31207 0.456725 0.228363 0.973576i \(-0.426663\pi\)
0.228363 + 0.973576i \(0.426663\pi\)
\(192\) 4.58786 22.2435i 0.331101 1.60529i
\(193\) −10.5158 −0.756940 −0.378470 0.925614i \(-0.623550\pi\)
−0.378470 + 0.925614i \(0.623550\pi\)
\(194\) −11.9841 0.799629i −0.860406 0.0574100i
\(195\) −4.15456 20.8864i −0.297515 1.49571i
\(196\) 3.00523 + 3.93561i 0.214659 + 0.281115i
\(197\) 13.0604 8.72666i 0.930513 0.621749i 0.00480529 0.999988i \(-0.498470\pi\)
0.925708 + 0.378240i \(0.123470\pi\)
\(198\) −1.91003 14.6411i −0.135740 1.04050i
\(199\) 25.4075 + 10.5241i 1.80109 + 0.746037i 0.986008 + 0.166695i \(0.0533095\pi\)
0.815085 + 0.579342i \(0.196690\pi\)
\(200\) 11.1674 + 7.51890i 0.789651 + 0.531666i
\(201\) −38.8465 + 16.0907i −2.74002 + 1.13495i
\(202\) −18.1806 + 10.4681i −1.27918 + 0.736532i
\(203\) −4.97885 0.990354i −0.349447 0.0695092i
\(204\) 13.9242 + 12.2692i 0.974886 + 0.859016i
\(205\) 31.6348 + 21.1377i 2.20947 + 1.47632i
\(206\) 7.11615 + 3.51970i 0.495805 + 0.245229i
\(207\) −9.28566 9.28566i −0.645398 0.645398i
\(208\) −6.29859 7.25067i −0.436729 0.502744i
\(209\) −6.24279 + 6.24279i −0.431823 + 0.431823i
\(210\) −25.2727 + 8.54579i −1.74398 + 0.589716i
\(211\) 12.5416 18.7698i 0.863399 1.29217i −0.0916719 0.995789i \(-0.529221\pi\)
0.955071 0.296378i \(-0.0957789\pi\)
\(212\) −15.4155 5.27330i −1.05874 0.362172i
\(213\) 3.84542 19.3322i 0.263484 1.32462i
\(214\) −17.7004 4.76512i −1.20997 0.325737i
\(215\) −2.77128 6.69045i −0.189000 0.456285i
\(216\) 15.3023 6.27528i 1.04119 0.426979i
\(217\) −1.47404 + 3.55864i −0.100064 + 0.241576i
\(218\) −10.8747 8.36475i −0.736524 0.566532i
\(219\) −5.74193 8.59341i −0.388004 0.580689i
\(220\) 12.4613 3.30761i 0.840142 0.222999i
\(221\) 7.69726 1.53108i 0.517774 0.102992i
\(222\) 6.69714 + 7.65476i 0.449483 + 0.513754i
\(223\) 8.11318i 0.543298i −0.962396 0.271649i \(-0.912431\pi\)
0.962396 0.271649i \(-0.0875690\pi\)
\(224\) −7.98635 + 8.99940i −0.533610 + 0.601298i
\(225\) 24.0831i 1.60554i
\(226\) 7.15938 6.26373i 0.476235 0.416657i
\(227\) −11.3933 + 2.26626i −0.756197 + 0.150417i −0.558109 0.829767i \(-0.688473\pi\)
−0.198087 + 0.980184i \(0.563473\pi\)
\(228\) −21.0100 12.1961i −1.39142 0.807704i
\(229\) 12.2867 + 18.3883i 0.811926 + 1.21513i 0.973594 + 0.228288i \(0.0733127\pi\)
−0.161668 + 0.986845i \(0.551687\pi\)
\(230\) 6.99116 9.08891i 0.460983 0.599305i
\(231\) −4.76829 + 11.5117i −0.313731 + 0.757413i
\(232\) −0.0238107 + 6.75043i −0.00156325 + 0.443187i
\(233\) 0.609526 + 1.47153i 0.0399314 + 0.0964028i 0.942587 0.333961i \(-0.108385\pi\)
−0.902656 + 0.430364i \(0.858385\pi\)
\(234\) 4.46630 16.5904i 0.291971 1.08455i
\(235\) −1.95915 + 9.84930i −0.127801 + 0.642497i
\(236\) −15.2921 + 7.49658i −0.995432 + 0.487986i
\(237\) 24.4225 36.5508i 1.58641 2.37423i
\(238\) −3.14938 9.31373i −0.204144 0.603719i
\(239\) −1.07033 + 1.07033i −0.0692337 + 0.0692337i −0.740876 0.671642i \(-0.765589\pi\)
0.671642 + 0.740876i \(0.265589\pi\)
\(240\) 17.5935 + 30.8065i 1.13566 + 1.98855i
\(241\) 11.5889 + 11.5889i 0.746509 + 0.746509i 0.973822 0.227313i \(-0.0729940\pi\)
−0.227313 + 0.973822i \(0.572994\pi\)
\(242\) −4.22717 + 8.54651i −0.271733 + 0.549390i
\(243\) −11.2304 7.50390i −0.720429 0.481375i
\(244\) 1.26699 + 20.0530i 0.0811110 + 1.28376i
\(245\) −7.58626 1.50900i −0.484669 0.0964066i
\(246\) 24.3982 + 42.3739i 1.55557 + 2.70166i
\(247\) −9.49121 + 3.93139i −0.603911 + 0.250148i
\(248\) 5.02013 + 1.01699i 0.318778 + 0.0645787i
\(249\) −17.5997 7.29002i −1.11533 0.461986i
\(250\) 1.05242 0.137296i 0.0665612 0.00868334i
\(251\) −3.20465 + 2.14128i −0.202276 + 0.135156i −0.652583 0.757717i \(-0.726315\pi\)
0.450307 + 0.892874i \(0.351315\pi\)
\(252\) −21.3331 2.85961i −1.34386 0.180138i
\(253\) −1.04481 5.25260i −0.0656865 0.330228i
\(254\) 0.0284717 0.426706i 0.00178647 0.0267739i
\(255\) −28.9889 −1.81535
\(256\) 13.7805 + 8.12998i 0.861284 + 0.508124i
\(257\) −12.4093 −0.774071 −0.387035 0.922065i \(-0.626501\pi\)
−0.387035 + 0.922065i \(0.626501\pi\)
\(258\) 0.619605 9.28604i 0.0385749 0.578123i
\(259\) −1.05120 5.28475i −0.0653185 0.328378i
\(260\) 14.8694 + 1.99317i 0.922160 + 0.123611i
\(261\) −10.0406 + 6.70893i −0.621499 + 0.415272i
\(262\) −7.55203 + 0.985212i −0.466566 + 0.0608666i
\(263\) 1.63628 + 0.677769i 0.100897 + 0.0417930i 0.432561 0.901605i \(-0.357610\pi\)
−0.331664 + 0.943398i \(0.607610\pi\)
\(264\) 16.2394 + 3.28980i 0.999464 + 0.202473i
\(265\) 23.5121 9.73904i 1.44434 0.598264i
\(266\) 6.42187 + 11.1533i 0.393750 + 0.683850i
\(267\) −22.5989 4.49521i −1.38303 0.275102i
\(268\) −1.86783 29.5625i −0.114096 1.80582i
\(269\) −26.2384 17.5320i −1.59978 1.06894i −0.951547 0.307505i \(-0.900506\pi\)
−0.648238 0.761438i \(-0.724494\pi\)
\(270\) −11.4535 + 23.1568i −0.697040 + 1.40928i
\(271\) −1.58765 1.58765i −0.0964427 0.0964427i 0.657239 0.753682i \(-0.271724\pi\)
−0.753682 + 0.657239i \(0.771724\pi\)
\(272\) −11.3531 + 6.48373i −0.688384 + 0.393134i
\(273\) −10.2523 + 10.2523i −0.620497 + 0.620497i
\(274\) −7.80043 23.0684i −0.471241 1.39361i
\(275\) −5.45661 + 8.16640i −0.329046 + 0.492452i
\(276\) 13.2320 6.48666i 0.796472 0.390451i
\(277\) −0.970436 + 4.87871i −0.0583079 + 0.293133i −0.998926 0.0463330i \(-0.985246\pi\)
0.940618 + 0.339466i \(0.110246\pi\)
\(278\) 4.38737 16.2972i 0.263137 0.977443i
\(279\) 3.50646 + 8.46533i 0.209926 + 0.506806i
\(280\) 0.0662932 18.7944i 0.00396178 1.12318i
\(281\) −0.758051 + 1.83010i −0.0452216 + 0.109175i −0.944876 0.327428i \(-0.893818\pi\)
0.899655 + 0.436602i \(0.143818\pi\)
\(282\) −7.86861 + 10.2296i −0.468569 + 0.609166i
\(283\) 5.42628 + 8.12100i 0.322559 + 0.482744i 0.956944 0.290274i \(-0.0937464\pi\)
−0.634385 + 0.773018i \(0.718746\pi\)
\(284\) 12.0093 + 6.97128i 0.712621 + 0.413669i
\(285\) 37.2177 7.40306i 2.20459 0.438519i
\(286\) 5.27346 4.61374i 0.311826 0.272816i
\(287\) 25.9039i 1.52906i
\(288\) 1.70404 + 28.5713i 0.100411 + 1.68358i
\(289\) 6.31674i 0.371573i
\(290\) −6.94311 7.93590i −0.407714 0.466012i
\(291\) 23.6476 4.70380i 1.38625 0.275742i
\(292\) 7.03729 1.86791i 0.411826 0.109311i
\(293\) 6.65651 + 9.96217i 0.388877 + 0.581996i 0.973324 0.229436i \(-0.0736883\pi\)
−0.584446 + 0.811432i \(0.698688\pi\)
\(294\) −7.87922 6.06067i −0.459525 0.353465i
\(295\) 10.1804 24.5776i 0.592725 1.43096i
\(296\) −6.62943 + 2.71864i −0.385328 + 0.158018i
\(297\) 4.61746 + 11.1475i 0.267932 + 0.646845i
\(298\) 18.4038 + 4.95449i 1.06611 + 0.287006i
\(299\) 1.21576 6.11205i 0.0703093 0.353469i
\(300\) −25.5709 8.74726i −1.47634 0.505023i
\(301\) −2.73921 + 4.09952i −0.157885 + 0.236292i
\(302\) −2.54406 + 0.860259i −0.146394 + 0.0495023i
\(303\) 29.7792 29.7792i 1.71077 1.71077i
\(304\) 12.9200 11.2235i 0.741015 0.643713i
\(305\) −22.1932 22.1932i −1.27078 1.27078i
\(306\) −20.9638 10.3689i −1.19842 0.592750i
\(307\) −9.59801 6.41318i −0.547787 0.366020i 0.250669 0.968073i \(-0.419350\pi\)
−0.798456 + 0.602053i \(0.794350\pi\)
\(308\) −6.58599 5.80322i −0.375272 0.330669i
\(309\) −15.6309 3.10919i −0.889213 0.176875i
\(310\) −6.93367 + 3.99229i −0.393806 + 0.226747i
\(311\) −21.5704 + 8.93477i −1.22315 + 0.506644i −0.898409 0.439160i \(-0.855276\pi\)
−0.324738 + 0.945804i \(0.605276\pi\)
\(312\) 15.9931 + 10.7681i 0.905433 + 0.609622i
\(313\) −1.66011 0.687642i −0.0938352 0.0388678i 0.335272 0.942121i \(-0.391172\pi\)
−0.429107 + 0.903254i \(0.641172\pi\)
\(314\) 3.41273 + 26.1599i 0.192592 + 1.47629i
\(315\) 27.9549 18.6788i 1.57508 1.05243i
\(316\) 18.7947 + 24.6133i 1.05728 + 1.38461i
\(317\) −2.90261 14.5924i −0.163027 0.819590i −0.972584 0.232550i \(-0.925293\pi\)
0.809558 0.587040i \(-0.199707\pi\)
\(318\) 32.6337 + 2.17746i 1.83001 + 0.122106i
\(319\) −4.92478 −0.275735
\(320\) −24.5461 + 4.70275i −1.37217 + 0.262892i
\(321\) 36.7977 2.05385
\(322\) −7.78966 0.519760i −0.434101 0.0289651i
\(323\) 2.72825 + 13.7158i 0.151804 + 0.763169i
\(324\) −2.25960 + 1.72542i −0.125533 + 0.0958568i
\(325\) −9.50261 + 6.34944i −0.527110 + 0.352204i
\(326\) 0.606287 + 4.64743i 0.0335791 + 0.257397i
\(327\) 25.4449 + 10.5396i 1.40711 + 0.582843i
\(328\) −33.8080 + 6.60095i −1.86673 + 0.364476i
\(329\) 6.31673 2.61648i 0.348253 0.144251i
\(330\) −22.4294 + 12.9145i −1.23470 + 0.710918i
\(331\) 5.51285 + 1.09657i 0.303014 + 0.0602732i 0.344255 0.938876i \(-0.388131\pi\)
−0.0412418 + 0.999149i \(0.513131\pi\)
\(332\) 8.87226 10.0690i 0.486928 0.552609i
\(333\) −10.6575 7.12113i −0.584029 0.390236i
\(334\) −0.309203 0.152934i −0.0169188 0.00836818i
\(335\) 32.7176 + 32.7176i 1.78755 + 1.78755i
\(336\) 10.7847 21.6124i 0.588354 1.17905i
\(337\) 2.17791 2.17791i 0.118638 0.118638i −0.645295 0.763933i \(-0.723266\pi\)
0.763933 + 0.645295i \(0.223266\pi\)
\(338\) −9.69232 + 3.27739i −0.527192 + 0.178267i
\(339\) −10.6093 + 15.8779i −0.576218 + 0.862371i
\(340\) 6.60994 19.3229i 0.358475 1.04793i
\(341\) −0.729016 + 3.66501i −0.0394784 + 0.198471i
\(342\) 29.5626 + 7.95855i 1.59856 + 0.430349i
\(343\) 7.71305 + 18.6210i 0.416466 + 1.00544i
\(344\) 6.04844 + 2.53038i 0.326110 + 0.136429i
\(345\) −8.80890 + 21.2666i −0.474255 + 1.14495i
\(346\) 16.6329 + 12.7940i 0.894190 + 0.687808i
\(347\) 5.32825 + 7.97430i 0.286036 + 0.428083i 0.946465 0.322805i \(-0.104626\pi\)
−0.660430 + 0.750888i \(0.729626\pi\)
\(348\) −3.47653 13.0977i −0.186361 0.702110i
\(349\) −1.63592 + 0.325405i −0.0875689 + 0.0174185i −0.238680 0.971098i \(-0.576715\pi\)
0.151111 + 0.988517i \(0.451715\pi\)
\(350\) 9.42752 + 10.7756i 0.503922 + 0.575978i
\(351\) 14.0403i 0.749414i
\(352\) −5.89570 + 10.0744i −0.314242 + 0.536968i
\(353\) 5.92592i 0.315405i −0.987487 0.157702i \(-0.949591\pi\)
0.987487 0.157702i \(-0.0504087\pi\)
\(354\) 25.7307 22.5118i 1.36757 1.19649i
\(355\) −21.2737 + 4.23159i −1.12909 + 0.224590i
\(356\) 8.14927 14.0386i 0.431910 0.744045i
\(357\) 10.9652 + 16.4106i 0.580340 + 0.868539i
\(358\) 9.94056 12.9233i 0.525375 0.683018i
\(359\) −12.0537 + 29.1002i −0.636170 + 1.53585i 0.195573 + 0.980689i \(0.437343\pi\)
−0.831743 + 0.555161i \(0.812657\pi\)
\(360\) −31.5020 31.7250i −1.66030 1.67205i
\(361\) 0.265606 + 0.641230i 0.0139793 + 0.0337489i
\(362\) −3.12520 + 11.6088i −0.164257 + 0.610144i
\(363\) 3.73414 18.7728i 0.195991 0.985315i
\(364\) −4.49609 9.17147i −0.235659 0.480716i
\(365\) −6.31856 + 9.45639i −0.330729 + 0.494970i
\(366\) −12.9206 38.2103i −0.675369 1.99728i
\(367\) −18.9541 + 18.9541i −0.989396 + 0.989396i −0.999944 0.0105483i \(-0.996642\pi\)
0.0105483 + 0.999944i \(0.496642\pi\)
\(368\) 1.30664 + 10.2990i 0.0681135 + 0.536873i
\(369\) −43.5722 43.5722i −2.26828 2.26828i
\(370\) 4.96203 10.0322i 0.257964 0.521552i
\(371\) −14.4068 9.62634i −0.747966 0.499775i
\(372\) −10.2619 + 0.648370i −0.532055 + 0.0336164i
\(373\) −21.0597 4.18903i −1.09043 0.216899i −0.383044 0.923730i \(-0.625124\pi\)
−0.707383 + 0.706830i \(0.750124\pi\)
\(374\) −4.75937 8.26589i −0.246101 0.427419i
\(375\) −1.96841 + 0.815342i −0.101648 + 0.0421041i
\(376\) −5.02451 7.57744i −0.259119 0.390777i
\(377\) −5.29437 2.19300i −0.272674 0.112945i
\(378\) 17.4414 2.27535i 0.897089 0.117031i
\(379\) 3.08942 2.06428i 0.158693 0.106035i −0.473688 0.880693i \(-0.657078\pi\)
0.632381 + 0.774657i \(0.282078\pi\)
\(380\) −3.55166 + 26.4959i −0.182196 + 1.35921i
\(381\) 0.167484 + 0.841999i 0.00858046 + 0.0431369i
\(382\) 0.594301 8.90680i 0.0304071 0.455712i
\(383\) 16.3597 0.835942 0.417971 0.908460i \(-0.362741\pi\)
0.417971 + 0.908460i \(0.362741\pi\)
\(384\) −30.9553 8.56812i −1.57968 0.437240i
\(385\) 13.7115 0.698800
\(386\) −0.990091 + 14.8385i −0.0503943 + 0.755261i
\(387\) 2.28813 + 11.5032i 0.116312 + 0.584742i
\(388\) −2.25668 + 16.8351i −0.114565 + 0.854675i
\(389\) 21.6591 14.4722i 1.09816 0.733768i 0.131882 0.991265i \(-0.457898\pi\)
0.966279 + 0.257498i \(0.0828980\pi\)
\(390\) −29.8635 + 3.89589i −1.51220 + 0.197276i
\(391\) −7.83736 3.24634i −0.396352 0.164174i
\(392\) 5.83640 3.87005i 0.294783 0.195467i
\(393\) 14.1250 5.85076i 0.712511 0.295132i
\(394\) −11.0843 19.2508i −0.558419 0.969842i
\(395\) −47.4444 9.43728i −2.38719 0.474841i
\(396\) −20.8395 + 1.31669i −1.04723 + 0.0661661i
\(397\) 3.68511 + 2.46232i 0.184951 + 0.123580i 0.644599 0.764521i \(-0.277024\pi\)
−0.459648 + 0.888101i \(0.652024\pi\)
\(398\) 17.2426 34.8611i 0.864292 1.74743i
\(399\) −18.2686 18.2686i −0.914576 0.914576i
\(400\) 11.6612 15.0501i 0.583059 0.752503i
\(401\) 8.30297 8.30297i 0.414630 0.414630i −0.468718 0.883348i \(-0.655284\pi\)
0.883348 + 0.468718i \(0.155284\pi\)
\(402\) 19.0477 + 56.3303i 0.950015 + 2.80950i
\(403\) −2.41575 + 3.61543i −0.120337 + 0.180097i
\(404\) 13.0595 + 26.6398i 0.649735 + 1.32538i
\(405\) 0.866379 4.35558i 0.0430507 0.216431i
\(406\) −1.86624 + 6.93229i −0.0926199 + 0.344044i
\(407\) −2.00042 4.82945i −0.0991573 0.239387i
\(408\) 18.6238 18.4929i 0.922015 0.915533i
\(409\) 12.9503 31.2648i 0.640350 1.54594i −0.185857 0.982577i \(-0.559506\pi\)
0.826207 0.563366i \(-0.190494\pi\)
\(410\) 32.8054 42.6489i 1.62014 2.10628i
\(411\) 27.1588 + 40.6460i 1.33964 + 2.00492i
\(412\) 5.63658 9.71003i 0.277694 0.478379i
\(413\) −17.7641 + 3.53351i −0.874117 + 0.173873i
\(414\) −13.9771 + 12.2285i −0.686935 + 0.600998i
\(415\) 20.9628i 1.02902i
\(416\) −10.8243 + 8.20512i −0.530704 + 0.402289i
\(417\) 33.8806i 1.65914i
\(418\) 8.22127 + 9.39683i 0.402116 + 0.459614i
\(419\) 15.5325 3.08960i 0.758811 0.150937i 0.199503 0.979897i \(-0.436067\pi\)
0.559307 + 0.828960i \(0.311067\pi\)
\(420\) 9.67926 + 36.4663i 0.472300 + 1.77937i
\(421\) 1.42193 + 2.12807i 0.0693006 + 0.103716i 0.864501 0.502631i \(-0.167634\pi\)
−0.795201 + 0.606346i \(0.792634\pi\)
\(422\) −25.3048 19.4644i −1.23182 0.947511i
\(423\) 6.22410 15.0263i 0.302626 0.730604i
\(424\) −8.89244 + 21.2559i −0.431855 + 1.03228i
\(425\) 5.95357 + 14.3732i 0.288791 + 0.697203i
\(426\) −26.9172 7.24637i −1.30414 0.351088i
\(427\) −4.16885 + 20.9582i −0.201745 + 1.01424i
\(428\) −8.39049 + 24.5279i −0.405569 + 1.18560i
\(429\) −7.81460 + 11.6954i −0.377292 + 0.564658i
\(430\) −9.70166 + 3.28055i −0.467856 + 0.158202i
\(431\) 13.2163 13.2163i 0.636606 0.636606i −0.313111 0.949717i \(-0.601371\pi\)
0.949717 + 0.313111i \(0.101371\pi\)
\(432\) −7.41413 22.1836i −0.356713 1.06731i
\(433\) −5.42276 5.42276i −0.260601 0.260601i 0.564697 0.825298i \(-0.308993\pi\)
−0.825298 + 0.564697i \(0.808993\pi\)
\(434\) 4.88273 + 2.41504i 0.234379 + 0.115926i
\(435\) 17.6001 + 11.7600i 0.843860 + 0.563849i
\(436\) −12.8272 + 14.5574i −0.614310 + 0.697173i
\(437\) 10.8911 + 2.16638i 0.520993 + 0.103632i
\(438\) −12.6666 + 7.29320i −0.605232 + 0.348483i
\(439\) −15.4472 + 6.39844i −0.737255 + 0.305381i −0.719530 0.694462i \(-0.755643\pi\)
−0.0177256 + 0.999843i \(0.505643\pi\)
\(440\) −3.49402 17.8953i −0.166571 0.853124i
\(441\) 11.5738 + 4.79401i 0.551132 + 0.228286i
\(442\) −1.43575 11.0056i −0.0682916 0.523482i
\(443\) 8.77140 5.86086i 0.416742 0.278458i −0.329471 0.944166i \(-0.606870\pi\)
0.746213 + 0.665708i \(0.231870\pi\)
\(444\) 11.4320 8.72946i 0.542539 0.414282i
\(445\) 4.94664 + 24.8684i 0.234493 + 1.17888i
\(446\) −11.4483 0.763881i −0.542093 0.0361708i
\(447\) −38.2601 −1.80964
\(448\) 11.9469 + 12.1167i 0.564438 + 0.572459i
\(449\) 11.0927 0.523498 0.261749 0.965136i \(-0.415701\pi\)
0.261749 + 0.965136i \(0.415701\pi\)
\(450\) 33.9830 + 2.26750i 1.60198 + 0.106891i
\(451\) −4.90267 24.6474i −0.230857 1.16060i
\(452\) −8.16452 10.6922i −0.384027 0.502918i
\(453\) 4.48258 2.99516i 0.210610 0.140725i
\(454\) 2.12515 + 16.2901i 0.0997384 + 0.764533i
\(455\) 14.7405 + 6.10570i 0.691044 + 0.286240i
\(456\) −19.1877 + 28.4983i −0.898548 + 1.33456i
\(457\) 20.2978 8.40761i 0.949490 0.393292i 0.146451 0.989218i \(-0.453215\pi\)
0.803039 + 0.595926i \(0.203215\pi\)
\(458\) 27.1041 15.6061i 1.26649 0.729226i
\(459\) 18.7452 + 3.72866i 0.874953 + 0.174039i
\(460\) −12.1669 10.7208i −0.567285 0.499860i
\(461\) 19.1714 + 12.8099i 0.892903 + 0.596619i 0.915141 0.403134i \(-0.132079\pi\)
−0.0222379 + 0.999753i \(0.507079\pi\)
\(462\) 15.7949 + 7.81228i 0.734845 + 0.363460i
\(463\) −9.19024 9.19024i −0.427107 0.427107i 0.460535 0.887642i \(-0.347658\pi\)
−0.887642 + 0.460535i \(0.847658\pi\)
\(464\) 9.52312 + 0.669173i 0.442100 + 0.0310656i
\(465\) 11.3571 11.3571i 0.526673 0.526673i
\(466\) 2.13382 0.721538i 0.0988474 0.0334246i
\(467\) 0.319653 0.478395i 0.0147918 0.0221375i −0.824000 0.566590i \(-0.808262\pi\)
0.838792 + 0.544452i \(0.183262\pi\)
\(468\) −22.9898 7.86433i −1.06270 0.363529i
\(469\) 6.14580 30.8970i 0.283787 1.42669i
\(470\) 13.7136 + 3.69185i 0.632563 + 0.170292i
\(471\) −20.2668 48.9284i −0.933845 2.25450i
\(472\) 9.13845 + 22.2842i 0.420631 + 1.02571i
\(473\) −1.83045 + 4.41910i −0.0841642 + 0.203190i
\(474\) −49.2766 37.9034i −2.26335 1.74096i
\(475\) −11.3141 16.9328i −0.519128 0.776930i
\(476\) −13.4389 + 3.56709i −0.615971 + 0.163497i
\(477\) −40.4255 + 8.04114i −1.85096 + 0.368178i
\(478\) 1.40954 + 1.61109i 0.0644707 + 0.0736894i
\(479\) 33.0010i 1.50786i 0.656957 + 0.753928i \(0.271843\pi\)
−0.656957 + 0.753928i \(0.728157\pi\)
\(480\) 45.1269 21.9252i 2.05975 1.00075i
\(481\) 6.08268i 0.277346i
\(482\) 17.4440 15.2617i 0.794552 0.695153i
\(483\) 15.3710 3.05748i 0.699404 0.139120i
\(484\) 11.6618 + 6.76954i 0.530080 + 0.307706i
\(485\) −14.7405 22.0607i −0.669332 1.00173i
\(486\) −11.6459 + 15.1404i −0.528271 + 0.686783i
\(487\) 14.4792 34.9559i 0.656116 1.58400i −0.147637 0.989042i \(-0.547167\pi\)
0.803753 0.594963i \(-0.202833\pi\)
\(488\) 28.4156 + 0.100230i 1.28631 + 0.00453721i
\(489\) −3.60049 8.69235i −0.162820 0.393081i
\(490\) −2.84359 + 10.5627i −0.128460 + 0.477175i
\(491\) 4.13764 20.8013i 0.186729 0.938750i −0.767813 0.640674i \(-0.778655\pi\)
0.954542 0.298076i \(-0.0963450\pi\)
\(492\) 62.0899 30.4381i 2.79923 1.37225i
\(493\) −4.33391 + 6.48615i −0.195189 + 0.292122i
\(494\) 4.65386 + 13.7630i 0.209387 + 0.619225i
\(495\) 23.0637 23.0637i 1.03663 1.03663i
\(496\) 1.90771 6.98803i 0.0856585 0.313772i
\(497\) 10.4424 + 10.4424i 0.468404 + 0.468404i
\(498\) −11.9438 + 24.1481i −0.535216 + 1.08210i
\(499\) 34.2079 + 22.8570i 1.53135 + 1.02322i 0.982275 + 0.187448i \(0.0600215\pi\)
0.549079 + 0.835770i \(0.314979\pi\)
\(500\) −0.0946455 1.49798i −0.00423268 0.0669916i
\(501\) 0.679177 + 0.135097i 0.0303434 + 0.00603568i
\(502\) 2.71978 + 4.72361i 0.121390 + 0.210825i
\(503\) −16.6755 + 6.90723i −0.743525 + 0.307978i −0.722097 0.691792i \(-0.756821\pi\)
−0.0214284 + 0.999770i \(0.506821\pi\)
\(504\) −6.04370 + 29.8334i −0.269208 + 1.32888i
\(505\) −42.8157 17.7349i −1.90528 0.789191i
\(506\) −7.51019 + 0.979753i −0.333869 + 0.0435554i
\(507\) 17.0776 11.4109i 0.758444 0.506776i
\(508\) −0.599433 0.0803513i −0.0265955 0.00356501i
\(509\) 4.55107 + 22.8798i 0.201722 + 1.01413i 0.940401 + 0.340069i \(0.110450\pi\)
−0.738678 + 0.674058i \(0.764550\pi\)
\(510\) −2.72939 + 40.9055i −0.120860 + 1.81133i
\(511\) 7.74328 0.342543
\(512\) 12.7695 18.6799i 0.564337 0.825544i
\(513\) −25.0185 −1.10459
\(514\) −1.16837 + 17.5105i −0.0515348 + 0.772353i
\(515\) 3.42142 + 17.2007i 0.150766 + 0.757952i
\(516\) −13.0450 1.74862i −0.574273 0.0769787i
\(517\) 5.51513 3.68509i 0.242555 0.162070i
\(518\) −7.55615 + 0.985750i −0.331998 + 0.0433114i
\(519\) −38.9183 16.1205i −1.70832 0.707610i
\(520\) 4.21252 20.7942i 0.184731 0.911885i
\(521\) −25.8128 + 10.6920i −1.13088 + 0.468426i −0.868080 0.496424i \(-0.834646\pi\)
−0.262801 + 0.964850i \(0.584646\pi\)
\(522\) 8.52146 + 14.7998i 0.372974 + 0.647768i
\(523\) −3.91430 0.778602i −0.171160 0.0340459i 0.108766 0.994067i \(-0.465310\pi\)
−0.279926 + 0.960021i \(0.590310\pi\)
\(524\) 0.679161 + 10.7492i 0.0296693 + 0.469583i
\(525\) −23.8978 15.9680i −1.04299 0.696901i
\(526\) 1.11044 2.24510i 0.0484176 0.0978909i
\(527\) 4.18543 + 4.18543i 0.182320 + 0.182320i
\(528\) 6.17114 22.6052i 0.268565 0.983766i
\(529\) 11.5004 11.5004i 0.500015 0.500015i
\(530\) −11.5288 34.0943i −0.500778 1.48096i
\(531\) −23.9370 + 35.8242i −1.03878 + 1.55464i
\(532\) 16.3427 8.01162i 0.708547 0.347348i
\(533\) 5.70486 28.6802i 0.247105 1.24228i
\(534\) −8.47084 + 31.4656i −0.366569 + 1.36165i
\(535\) −15.4960 37.4107i −0.669952 1.61741i
\(536\) −41.8908 0.147761i −1.80941 0.00638231i
\(537\) −12.5252 + 30.2384i −0.540501 + 1.30488i
\(538\) −27.2093 + 35.3737i −1.17308 + 1.52507i
\(539\) 2.83838 + 4.24794i 0.122258 + 0.182972i
\(540\) 31.5976 + 18.3421i 1.35975 + 0.789318i
\(541\) −23.5841 + 4.69116i −1.01396 + 0.201689i −0.673984 0.738746i \(-0.735418\pi\)
−0.339974 + 0.940435i \(0.610418\pi\)
\(542\) −2.38977 + 2.09081i −0.102650 + 0.0898080i
\(543\) 24.1337i 1.03568i
\(544\) 8.08010 + 16.6306i 0.346431 + 0.713030i
\(545\) 30.3072i 1.29822i
\(546\) 13.5015 + 15.4320i 0.577810 + 0.660430i
\(547\) −18.9505 + 3.76948i −0.810263 + 0.161171i −0.582800 0.812615i \(-0.698043\pi\)
−0.227463 + 0.973787i \(0.573043\pi\)
\(548\) −33.2857 + 8.83504i −1.42190 + 0.377414i
\(549\) 28.2409 + 42.2656i 1.20529 + 1.80385i
\(550\) 11.0097 + 8.46859i 0.469453 + 0.361102i
\(551\) 3.90773 9.43410i 0.166475 0.401906i
\(552\) −7.90733 19.2821i −0.336558 0.820700i
\(553\) 12.6037 + 30.4279i 0.535962 + 1.29393i
\(554\) 6.79286 + 1.82871i 0.288601 + 0.0776942i
\(555\) −4.38329 + 22.0363i −0.186060 + 0.935387i
\(556\) −22.5835 7.72535i −0.957755 0.327628i
\(557\) 9.35372 13.9988i 0.396330 0.593149i −0.578614 0.815602i \(-0.696406\pi\)
0.974944 + 0.222452i \(0.0714062\pi\)
\(558\) 12.2754 4.15084i 0.519658 0.175719i
\(559\) −3.93564 + 3.93564i −0.166460 + 0.166460i
\(560\) −26.5141 1.86309i −1.12042 0.0787301i
\(561\) 13.5392 + 13.5392i 0.571627 + 0.571627i
\(562\) 2.51103 + 1.24198i 0.105922 + 0.0523897i
\(563\) 33.2172 + 22.1950i 1.39994 + 0.935409i 0.999821 + 0.0189460i \(0.00603105\pi\)
0.400119 + 0.916463i \(0.368969\pi\)
\(564\) 13.6939 + 12.0664i 0.576619 + 0.508085i
\(565\) 20.6102 + 4.09962i 0.867077 + 0.172472i
\(566\) 11.9703 6.89228i 0.503147 0.289704i
\(567\) −2.79340 + 1.15706i −0.117312 + 0.0485922i
\(568\) 10.9677 16.2897i 0.460195 0.683499i
\(569\) 14.9275 + 6.18318i 0.625794 + 0.259212i 0.672965 0.739674i \(-0.265020\pi\)
−0.0471707 + 0.998887i \(0.515020\pi\)
\(570\) −6.94212 53.2140i −0.290773 2.22889i
\(571\) −10.6636 + 7.12517i −0.446257 + 0.298179i −0.758320 0.651882i \(-0.773980\pi\)
0.312064 + 0.950061i \(0.398980\pi\)
\(572\) −6.01383 7.87565i −0.251451 0.329298i
\(573\) 3.49596 + 17.5754i 0.146046 + 0.734223i
\(574\) −36.5523 2.43893i −1.52566 0.101799i
\(575\) 12.3535 0.515175
\(576\) 40.4767 + 0.285549i 1.68653 + 0.0118979i
\(577\) −18.6883 −0.778002 −0.389001 0.921237i \(-0.627180\pi\)
−0.389001 + 0.921237i \(0.627180\pi\)
\(578\) 8.91340 + 0.594741i 0.370749 + 0.0247380i
\(579\) −5.82419 29.2802i −0.242045 1.21684i
\(580\) −11.8519 + 9.05007i −0.492123 + 0.375784i
\(581\) 11.8670 7.92928i 0.492327 0.328962i
\(582\) −4.41093 33.8115i −0.182839 1.40153i
\(583\) −15.5299 6.43271i −0.643184 0.266416i
\(584\) −1.97318 10.1060i −0.0816508 0.418190i
\(585\) 35.0648 14.5243i 1.44975 0.600506i
\(586\) 14.6841 8.45487i 0.606595 0.349267i
\(587\) 16.9938 + 3.38028i 0.701409 + 0.139519i 0.532896 0.846180i \(-0.321104\pi\)
0.168513 + 0.985699i \(0.446104\pi\)
\(588\) −9.29392 + 10.5475i −0.383275 + 0.434973i
\(589\) −6.44237 4.30465i −0.265453 0.177370i
\(590\) −33.7224 16.6794i −1.38833 0.686678i
\(591\) 31.5322 + 31.5322i 1.29706 + 1.29706i
\(592\) 3.21203 + 9.61060i 0.132014 + 0.394993i
\(593\) −5.79685 + 5.79685i −0.238048 + 0.238048i −0.816042 0.577993i \(-0.803836\pi\)
0.577993 + 0.816042i \(0.303836\pi\)
\(594\) 16.1648 5.46601i 0.663248 0.224273i
\(595\) 12.0664 18.0586i 0.494673 0.740330i
\(596\) 8.72395 25.5027i 0.357347 1.04463i
\(597\) −15.2315 + 76.5739i −0.623384 + 3.13396i
\(598\) −8.51010 2.29100i −0.348004 0.0936860i
\(599\) −6.07554 14.6677i −0.248240 0.599304i 0.749815 0.661648i \(-0.230143\pi\)
−0.998055 + 0.0623435i \(0.980143\pi\)
\(600\) −14.7506 + 35.2589i −0.602192 + 1.43944i
\(601\) −9.70092 + 23.4201i −0.395709 + 0.955325i 0.592963 + 0.805230i \(0.297958\pi\)
−0.988672 + 0.150095i \(0.952042\pi\)
\(602\) 5.52682 + 4.25121i 0.225256 + 0.173267i
\(603\) −41.6333 62.3087i −1.69544 2.53741i
\(604\) 0.974359 + 3.67086i 0.0396461 + 0.149365i
\(605\) −20.6580 + 4.10914i −0.839868 + 0.167060i
\(606\) −39.2169 44.8245i −1.59308 1.82087i
\(607\) 0.795354i 0.0322824i 0.999870 + 0.0161412i \(0.00513813\pi\)
−0.999870 + 0.0161412i \(0.994862\pi\)
\(608\) −14.6208 19.2879i −0.592951 0.782227i
\(609\) 14.4117i 0.583991i
\(610\) −33.4058 + 29.2267i −1.35256 + 1.18336i
\(611\) 7.57000 1.50577i 0.306249 0.0609168i
\(612\) −16.6051 + 28.6053i −0.671221 + 1.15630i
\(613\) −2.28756 3.42358i −0.0923939 0.138277i 0.782393 0.622785i \(-0.213999\pi\)
−0.874787 + 0.484508i \(0.838999\pi\)
\(614\) −9.95317 + 12.9397i −0.401677 + 0.522204i
\(615\) −41.3350 + 99.7915i −1.66679 + 4.02398i
\(616\) −8.80887 + 8.74694i −0.354919 + 0.352424i
\(617\) −16.1612 39.0166i −0.650626 1.57075i −0.811872 0.583836i \(-0.801551\pi\)
0.161246 0.986914i \(-0.448449\pi\)
\(618\) −5.85900 + 21.7637i −0.235683 + 0.875464i
\(619\) 2.87121 14.4345i 0.115404 0.580173i −0.879202 0.476448i \(-0.841924\pi\)
0.994606 0.103725i \(-0.0330761\pi\)
\(620\) 4.98060 + 10.1598i 0.200026 + 0.408028i
\(621\) 8.43154 12.6187i 0.338346 0.506370i
\(622\) 10.5767 + 31.2788i 0.424087 + 1.25416i
\(623\) 12.2069 12.2069i 0.489059 0.489059i
\(624\) 16.7004 21.5537i 0.668550 0.862838i
\(625\) 18.4862 + 18.4862i 0.739448 + 0.739448i
\(626\) −1.12662 + 2.27780i −0.0450288 + 0.0910393i
\(627\) −20.8401 13.9249i −0.832274 0.556107i
\(628\) 37.2350 2.35259i 1.48584 0.0938784i
\(629\) −8.12102 1.61537i −0.323806 0.0644090i
\(630\) −23.7252 41.2051i −0.945236 1.64165i
\(631\) 35.2699 14.6093i 1.40407 0.581586i 0.453268 0.891374i \(-0.350258\pi\)
0.950806 + 0.309788i \(0.100258\pi\)
\(632\) 36.5008 24.2033i 1.45192 0.962754i
\(633\) 59.2091 + 24.5252i 2.35335 + 0.974790i
\(634\) −20.8643 + 2.72188i −0.828625 + 0.108100i
\(635\) 0.785496 0.524852i 0.0311715 0.0208281i
\(636\) 6.14513 45.8436i 0.243670 1.81782i
\(637\) 1.15979 + 5.83067i 0.0459526 + 0.231020i
\(638\) −0.463684 + 6.94924i −0.0183574 + 0.275123i
\(639\) 35.1296 1.38971
\(640\) 4.32485 + 35.0791i 0.170955 + 1.38663i
\(641\) 11.8042 0.466237 0.233119 0.972448i \(-0.425107\pi\)
0.233119 + 0.972448i \(0.425107\pi\)
\(642\) 3.46462 51.9243i 0.136738 2.04929i
\(643\) −2.84656 14.3106i −0.112257 0.564355i −0.995445 0.0953360i \(-0.969607\pi\)
0.883188 0.469019i \(-0.155393\pi\)
\(644\) −1.46684 + 10.9429i −0.0578017 + 0.431210i
\(645\) 17.0941 11.4219i 0.673080 0.449737i
\(646\) 19.6109 2.55837i 0.771582 0.100658i
\(647\) −6.76078 2.80041i −0.265794 0.110095i 0.245807 0.969319i \(-0.420947\pi\)
−0.511600 + 0.859224i \(0.670947\pi\)
\(648\) 2.22195 + 3.35091i 0.0872866 + 0.131636i
\(649\) −16.2337 + 6.72422i −0.637229 + 0.263949i
\(650\) 8.06484 + 14.0067i 0.316329 + 0.549389i
\(651\) −10.7251 2.13336i −0.420351 0.0836130i
\(652\) 6.61495 0.417947i 0.259062 0.0163681i
\(653\) 9.41350 + 6.28990i 0.368379 + 0.246143i 0.725957 0.687741i \(-0.241397\pi\)
−0.357578 + 0.933883i \(0.616397\pi\)
\(654\) 17.2679 34.9124i 0.675230 1.36518i
\(655\) −11.8965 11.8965i −0.464833 0.464833i
\(656\) 6.13131 + 48.3272i 0.239387 + 1.88686i
\(657\) 13.0248 13.0248i 0.508144 0.508144i
\(658\) −3.09731 9.15974i −0.120746 0.357084i
\(659\) −6.27371 + 9.38927i −0.244389 + 0.365754i −0.933303 0.359089i \(-0.883088\pi\)
0.688914 + 0.724843i \(0.258088\pi\)
\(660\) 16.1115 + 32.8655i 0.627140 + 1.27929i
\(661\) −0.0233980 + 0.117629i −0.000910075 + 0.00457526i −0.981238 0.192802i \(-0.938242\pi\)
0.980328 + 0.197377i \(0.0632424\pi\)
\(662\) 2.06640 7.67580i 0.0803130 0.298329i
\(663\) 8.52632 + 20.5843i 0.331135 + 0.799430i
\(664\) −13.3728 13.4675i −0.518965 0.522639i
\(665\) −10.8798 + 26.2662i −0.421901 + 1.01856i
\(666\) −11.0519 + 14.3681i −0.428252 + 0.556753i
\(667\) 3.44136 + 5.15036i 0.133250 + 0.199423i
\(668\) −0.244914 + 0.421909i −0.00947601 + 0.0163242i
\(669\) 22.5904 4.49352i 0.873396 0.173729i
\(670\) 49.2475 43.0866i 1.90260 1.66458i
\(671\) 20.7306i 0.800298i
\(672\) −29.4813 17.2529i −1.13727 0.665546i
\(673\) 41.1783i 1.58731i 0.608371 + 0.793653i \(0.291823\pi\)
−0.608371 + 0.793653i \(0.708177\pi\)
\(674\) −2.86814 3.27826i −0.110477 0.126274i
\(675\) −27.2977 + 5.42984i −1.05069 + 0.208995i
\(676\) 3.71209 + 13.9852i 0.142773 + 0.537891i
\(677\) −13.0241 19.4920i −0.500557 0.749137i 0.492042 0.870571i \(-0.336251\pi\)
−0.992599 + 0.121435i \(0.961251\pi\)
\(678\) 21.4061 + 16.4655i 0.822095 + 0.632353i
\(679\) −6.91289 + 16.6892i −0.265292 + 0.640472i
\(680\) −26.6437 11.1464i −1.02174 0.427447i
\(681\) −12.6204 30.4683i −0.483615 1.16755i
\(682\) 5.10297 + 1.37377i 0.195403 + 0.0526043i
\(683\) 2.94439 14.8024i 0.112664 0.566399i −0.882677 0.469980i \(-0.844261\pi\)
0.995341 0.0964191i \(-0.0307389\pi\)
\(684\) 14.0135 40.9658i 0.535821 1.56637i
\(685\) 29.8862 44.7278i 1.14189 1.70896i
\(686\) 27.0018 9.13048i 1.03093 0.348603i
\(687\) −44.3956 + 44.3956i −1.69380 + 1.69380i
\(688\) 4.14003 8.29656i 0.157837 0.316303i
\(689\) −13.8309 13.8309i −0.526917 0.526917i
\(690\) 29.1794 + 14.4323i 1.11084 + 0.549430i
\(691\) −23.4953 15.6991i −0.893805 0.597221i 0.0215953 0.999767i \(-0.493125\pi\)
−0.915400 + 0.402546i \(0.868125\pi\)
\(692\) 19.6193 22.2657i 0.745814 0.846414i
\(693\) −21.7803 4.33236i −0.827364 0.164573i
\(694\) 11.7540 6.76777i 0.446176 0.256901i
\(695\) 34.4451 14.2676i 1.30658 0.541202i
\(696\) −18.8092 + 3.67245i −0.712959 + 0.139204i
\(697\) −36.7761 15.2332i −1.39299 0.576997i
\(698\) 0.305144 + 2.33905i 0.0115499 + 0.0885343i
\(699\) −3.75975 + 2.51218i −0.142207 + 0.0950194i
\(700\) 16.0928 12.2884i 0.608249 0.464458i
\(701\) 1.68037 + 8.44781i 0.0634668 + 0.319069i 0.999457 0.0329575i \(-0.0104926\pi\)
−0.935990 + 0.352027i \(0.885493\pi\)
\(702\) 19.8119 + 1.32194i 0.747752 + 0.0498932i
\(703\) 10.8388 0.408792
\(704\) 13.6607 + 9.26781i 0.514855 + 0.349294i
\(705\) −28.5096 −1.07373
\(706\) −8.36192 0.557944i −0.314705 0.0209985i
\(707\) 6.15559 + 30.9462i 0.231505 + 1.16385i
\(708\) −29.3432 38.4275i −1.10278 1.44420i
\(709\) −9.70687 + 6.48592i −0.364549 + 0.243584i −0.724331 0.689453i \(-0.757851\pi\)
0.359782 + 0.933036i \(0.382851\pi\)
\(710\) 3.96812 + 30.4172i 0.148921 + 1.14154i
\(711\) 72.3823 + 29.9817i 2.71455 + 1.12440i
\(712\) −19.0423 12.8210i −0.713639 0.480488i
\(713\) 4.34231 1.79865i 0.162621 0.0673598i
\(714\) 24.1890 13.9276i 0.905249 0.521228i
\(715\) 15.1811 + 3.01970i 0.567739 + 0.112930i
\(716\) −17.2998 15.2437i −0.646525 0.569682i
\(717\) −3.57303 2.38743i −0.133437 0.0891600i
\(718\) 39.9277 + 19.7486i 1.49009 + 0.737010i
\(719\) −22.6553 22.6553i −0.844899 0.844899i 0.144592 0.989491i \(-0.453813\pi\)
−0.989491 + 0.144592i \(0.953813\pi\)
\(720\) −47.7324 + 41.4647i −1.77888 + 1.54530i
\(721\) 8.44310 8.44310i 0.314438 0.314438i
\(722\) 0.929831 0.314416i 0.0346047 0.0117014i
\(723\) −25.8498 + 38.6869i −0.961364 + 1.43878i
\(724\) 16.0866 + 5.50289i 0.597854 + 0.204513i
\(725\) 2.21621 11.1416i 0.0823080 0.413790i
\(726\) −26.1382 7.03667i −0.970081 0.261155i
\(727\) 14.7776 + 35.6764i 0.548072 + 1.32316i 0.918911 + 0.394466i \(0.129070\pi\)
−0.370839 + 0.928697i \(0.620930\pi\)
\(728\) −13.3650 + 5.48080i −0.495339 + 0.203132i
\(729\) 16.3059 39.3660i 0.603923 1.45800i
\(730\) 12.7488 + 9.80632i 0.471853 + 0.362948i
\(731\) 4.20931 + 6.29968i 0.155687 + 0.233002i
\(732\) −55.1341 + 14.6343i −2.03782 + 0.540899i
\(733\) 12.4550 2.47746i 0.460037 0.0915071i 0.0403693 0.999185i \(-0.487147\pi\)
0.419668 + 0.907678i \(0.362147\pi\)
\(734\) 24.9611 + 28.5303i 0.921331 + 1.05307i
\(735\) 21.9591i 0.809972i
\(736\) 14.6557 0.874090i 0.540216 0.0322194i
\(737\) 30.5615i 1.12575i
\(738\) −65.5861 + 57.3812i −2.41426 + 2.11223i
\(739\) 0.370926 0.0737817i 0.0136447 0.00271410i −0.188263 0.982119i \(-0.560286\pi\)
0.201908 + 0.979405i \(0.435286\pi\)
\(740\) −13.6891 7.94636i −0.503220 0.292114i
\(741\) −16.2034 24.2500i −0.595245 0.890847i
\(742\) −14.9399 + 19.4228i −0.548463 + 0.713033i
\(743\) −10.5484 + 25.4660i −0.386983 + 0.934259i 0.603593 + 0.797292i \(0.293735\pi\)
−0.990576 + 0.136966i \(0.956265\pi\)
\(744\) −0.0512916 + 14.5414i −0.00188044 + 0.533112i
\(745\) 16.1119 + 38.8975i 0.590294 + 1.42510i
\(746\) −7.89386 + 29.3224i −0.289015 + 1.07357i
\(747\) 6.62354 33.2988i 0.242343 1.21834i
\(748\) −12.1119 + 5.93757i −0.442855 + 0.217099i
\(749\) −15.3167 + 22.9231i −0.559661 + 0.837591i
\(750\) 0.965177 + 2.85434i 0.0352433 + 0.104226i
\(751\) 33.7123 33.7123i 1.23018 1.23018i 0.266286 0.963894i \(-0.414203\pi\)
0.963894 0.266286i \(-0.0857967\pi\)
\(752\) −11.1654 + 6.37653i −0.407161 + 0.232528i
\(753\) −7.73712 7.73712i −0.281956 0.281956i
\(754\) −3.59297 + 7.26429i −0.130848 + 0.264550i
\(755\) −4.93274 3.29595i −0.179521 0.119952i
\(756\) −1.56852 24.8254i −0.0570466 0.902890i
\(757\) 0.880215 + 0.175086i 0.0319920 + 0.00636360i 0.211060 0.977473i \(-0.432308\pi\)
−0.179068 + 0.983837i \(0.557308\pi\)
\(758\) −2.62198 4.55376i −0.0952347 0.165400i
\(759\) 14.0467 5.81835i 0.509864 0.211193i
\(760\) 37.0533 + 7.50633i 1.34407 + 0.272283i
\(761\) 25.8419 + 10.7040i 0.936766 + 0.388021i 0.798241 0.602338i \(-0.205764\pi\)
0.138525 + 0.990359i \(0.455764\pi\)
\(762\) 1.20389 0.157056i 0.0436125 0.00568953i
\(763\) −17.1569 + 11.4639i −0.621121 + 0.415020i
\(764\) −12.5122 1.67721i −0.452676 0.0606792i
\(765\) −10.0794 50.6724i −0.364420 1.83206i
\(766\) 1.54032 23.0848i 0.0556539 0.834087i
\(767\) −20.4463 −0.738273
\(768\) −15.0048 + 42.8735i −0.541439 + 1.54707i
\(769\) −30.4304 −1.09735 −0.548674 0.836036i \(-0.684867\pi\)
−0.548674 + 0.836036i \(0.684867\pi\)
\(770\) 1.29098 19.3479i 0.0465236 0.697250i
\(771\) −6.87294 34.5526i −0.247523 1.24438i
\(772\) 20.8451 + 2.79419i 0.750230 + 0.100565i
\(773\) −7.79837 + 5.21070i −0.280488 + 0.187416i