Properties

Label 62.2.g.a.41.1
Level 62
Weight 2
Character 62.41
Analytic conductor 0.495
Analytic rank 0
Dimension 8
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 62 = 2 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 62.g (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.495072492532\)
Analytic rank: \(0\)
Dimension: \(8\)
Coefficient field: \(\Q(\zeta_{15})\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 41.1
Root \(0.913545 - 0.406737i\)
Character \(\chi\) = 62.41
Dual form 62.2.g.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.169131 - 1.60917i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.22256 - 2.11754i) q^{5} +(-0.809017 + 1.40126i) q^{6} +(0.809017 + 0.171962i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.373619 - 0.0794152i) q^{9} +O(q^{10})\) \(q+(-0.809017 - 0.587785i) q^{2} +(-0.169131 - 1.60917i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.22256 - 2.11754i) q^{5} +(-0.809017 + 1.40126i) q^{6} +(0.809017 + 0.171962i) q^{7} +(0.309017 - 0.951057i) q^{8} +(0.373619 - 0.0794152i) q^{9} +(-0.255585 + 2.43173i) q^{10} +(-1.39547 + 1.54983i) q^{11} +(1.47815 - 0.658114i) q^{12} +(4.27222 + 1.90211i) q^{13} +(-0.553432 - 0.614648i) q^{14} +(-3.20071 + 2.32545i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(4.03286 + 4.47894i) q^{17} +(-0.348943 - 0.155360i) q^{18} +(-5.75036 + 2.56023i) q^{19} +(1.63611 - 1.81708i) q^{20} +(0.139886 - 1.33093i) q^{21} +(2.03993 - 0.433600i) q^{22} +(1.57811 - 4.85692i) q^{23} +(-1.58268 - 0.336408i) q^{24} +(-0.489318 + 0.847523i) q^{25} +(-2.33826 - 4.04999i) q^{26} +(-1.69098 - 5.20431i) q^{27} +(0.0864545 + 0.822560i) q^{28} +(-5.37345 - 3.90404i) q^{29} +3.95630 q^{30} +(2.33777 + 5.05320i) q^{31} +1.00000 q^{32} +(2.72995 + 1.98343i) q^{33} +(-0.629994 - 5.99399i) q^{34} +(-0.624938 - 1.92336i) q^{35} +(0.190983 + 0.330792i) q^{36} +(1.98272 - 3.43416i) q^{37} +(6.15701 + 1.30871i) q^{38} +(2.33826 - 7.19643i) q^{39} +(-2.39169 + 0.508370i) q^{40} +(-1.10171 + 10.4820i) q^{41} +(-0.895472 + 0.994522i) q^{42} +(-3.70498 + 1.64956i) q^{43} +(-1.90520 - 0.848249i) q^{44} +(-0.624938 - 0.694064i) q^{45} +(-4.13154 + 3.00174i) q^{46} +(-3.74346 + 2.71978i) q^{47} +(1.08268 + 1.20243i) q^{48} +(-5.76988 - 2.56892i) q^{49} +(0.894028 - 0.398047i) q^{50} +(6.52530 - 7.24708i) q^{51} +(-0.488830 + 4.65090i) q^{52} +(-1.59901 + 0.339879i) q^{53} +(-1.69098 + 5.20431i) q^{54} +(4.98787 + 1.06021i) q^{55} +(0.413545 - 0.716282i) q^{56} +(5.09240 + 8.82030i) q^{57} +(2.05248 + 6.31687i) q^{58} +(1.15543 + 10.9931i) q^{59} +(-3.20071 - 2.32545i) q^{60} +10.5530 q^{61} +(1.07890 - 5.46223i) q^{62} +0.315921 q^{63} +(-0.809017 - 0.587785i) q^{64} +(-1.19525 - 11.3720i) q^{65} +(-1.04275 - 3.20925i) q^{66} +(0.0971366 + 0.168246i) q^{67} +(-3.01351 + 5.21954i) q^{68} +(-8.08251 - 1.71799i) q^{69} +(-0.624938 + 1.92336i) q^{70} +(5.12319 - 1.08897i) q^{71} +(0.0399263 - 0.379874i) q^{72} +(-0.985705 + 1.09474i) q^{73} +(-3.62260 + 1.61289i) q^{74} +(1.44657 + 0.644054i) q^{75} +(-4.21188 - 4.67777i) q^{76} +(-1.39547 + 1.01387i) q^{77} +(-6.12165 + 4.44764i) q^{78} +(-8.33915 - 9.26157i) q^{79} +(2.23373 + 0.994522i) q^{80} +(-7.04179 + 3.13521i) q^{81} +(7.05248 - 7.83257i) q^{82} +(0.0835291 - 0.794726i) q^{83} +(1.30902 - 0.278240i) q^{84} +(4.55392 - 14.0155i) q^{85} +(3.96698 + 0.843207i) q^{86} +(-5.37345 + 9.30710i) q^{87} +(1.04275 + 1.80610i) q^{88} +(-0.991653 - 3.05199i) q^{89} +(0.0976248 + 0.928838i) q^{90} +(3.12920 + 2.27350i) q^{91} +5.10686 q^{92} +(7.73607 - 4.61653i) q^{93} +4.62717 q^{94} +(12.4516 + 9.04659i) q^{95} +(-0.169131 - 1.60917i) q^{96} +(-3.98223 - 12.2560i) q^{97} +(3.15796 + 5.46975i) q^{98} +(-0.398295 + 0.689867i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} + O(q^{10}) \) \( 8q - 2q^{2} + 3q^{3} - 2q^{4} + q^{5} - 2q^{6} + 2q^{7} - 2q^{8} - 4q^{9} - 4q^{10} - 13q^{11} + 3q^{12} + 2q^{14} - 6q^{15} - 2q^{16} - 2q^{17} + q^{18} - 3q^{19} - 4q^{20} + q^{21} + 17q^{22} + 3q^{23} - 2q^{24} + q^{25} - 10q^{26} - 18q^{27} + 7q^{28} + 11q^{29} + 14q^{30} + 11q^{31} + 8q^{32} - 2q^{33} + 18q^{34} + 16q^{35} + 6q^{36} + 6q^{37} + 12q^{38} + 10q^{39} - 4q^{40} - 19q^{41} - 9q^{42} - 26q^{43} + 7q^{44} + 16q^{45} - 17q^{46} + q^{47} - 2q^{48} - 23q^{49} - 19q^{50} - 16q^{51} + 17q^{53} - 18q^{54} + 7q^{55} - 3q^{56} + 6q^{57} - 19q^{58} + 8q^{59} - 6q^{60} + 48q^{61} - 19q^{62} - 14q^{63} - 2q^{64} - 30q^{65} + 3q^{66} + 12q^{67} - 17q^{68} - 7q^{69} + 16q^{70} + 9q^{71} + q^{72} - 33q^{73} - 19q^{74} + 18q^{75} - 18q^{76} - 13q^{77} - 10q^{78} - 19q^{79} + 11q^{80} - 16q^{81} + 21q^{82} + 40q^{83} + 6q^{84} + 29q^{85} + 19q^{86} + 11q^{87} - 3q^{88} + 8q^{89} + 11q^{90} + 20q^{91} + 28q^{92} + 44q^{93} + 26q^{94} + 36q^{95} + 3q^{96} - 23q^{97} + 17q^{98} + 7q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{7}{15}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 0.587785i −0.572061 0.415627i
\(3\) −0.169131 1.60917i −0.0976476 0.929055i −0.928192 0.372102i \(-0.878637\pi\)
0.830544 0.556953i \(-0.188030\pi\)
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) −1.22256 2.11754i −0.546747 0.946993i −0.998495 0.0548473i \(-0.982533\pi\)
0.451748 0.892145i \(-0.350801\pi\)
\(6\) −0.809017 + 1.40126i −0.330280 + 0.572061i
\(7\) 0.809017 + 0.171962i 0.305780 + 0.0649955i 0.358246 0.933627i \(-0.383375\pi\)
−0.0524664 + 0.998623i \(0.516708\pi\)
\(8\) 0.309017 0.951057i 0.109254 0.336249i
\(9\) 0.373619 0.0794152i 0.124540 0.0264717i
\(10\) −0.255585 + 2.43173i −0.0808231 + 0.768981i
\(11\) −1.39547 + 1.54983i −0.420750 + 0.467291i −0.915835 0.401554i \(-0.868470\pi\)
0.495085 + 0.868845i \(0.335137\pi\)
\(12\) 1.47815 0.658114i 0.426704 0.189981i
\(13\) 4.27222 + 1.90211i 1.18490 + 0.527551i 0.902058 0.431615i \(-0.142056\pi\)
0.282842 + 0.959167i \(0.408723\pi\)
\(14\) −0.553432 0.614648i −0.147911 0.164272i
\(15\) −3.20071 + 2.32545i −0.826420 + 0.600429i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) 4.03286 + 4.47894i 0.978112 + 1.08630i 0.996255 + 0.0864676i \(0.0275579\pi\)
−0.0181430 + 0.999835i \(0.505775\pi\)
\(18\) −0.348943 0.155360i −0.0822467 0.0366186i
\(19\) −5.75036 + 2.56023i −1.31922 + 0.587356i −0.941015 0.338364i \(-0.890126\pi\)
−0.378209 + 0.925720i \(0.623460\pi\)
\(20\) 1.63611 1.81708i 0.365845 0.406312i
\(21\) 0.139886 1.33093i 0.0305257 0.290433i
\(22\) 2.03993 0.433600i 0.434914 0.0924438i
\(23\) 1.57811 4.85692i 0.329058 1.01274i −0.640517 0.767944i \(-0.721280\pi\)
0.969575 0.244793i \(-0.0787200\pi\)
\(24\) −1.58268 0.336408i −0.323062 0.0686690i
\(25\) −0.489318 + 0.847523i −0.0978636 + 0.169505i
\(26\) −2.33826 4.04999i −0.458571 0.794268i
\(27\) −1.69098 5.20431i −0.325430 1.00157i
\(28\) 0.0864545 + 0.822560i 0.0163384 + 0.155449i
\(29\) −5.37345 3.90404i −0.997825 0.724963i −0.0362045 0.999344i \(-0.511527\pi\)
−0.961621 + 0.274382i \(0.911527\pi\)
\(30\) 3.95630 0.722317
\(31\) 2.33777 + 5.05320i 0.419876 + 0.907581i
\(32\) 1.00000 0.176777
\(33\) 2.72995 + 1.98343i 0.475224 + 0.345270i
\(34\) −0.629994 5.99399i −0.108043 1.02796i
\(35\) −0.624938 1.92336i −0.105634 0.325107i
\(36\) 0.190983 + 0.330792i 0.0318305 + 0.0551320i
\(37\) 1.98272 3.43416i 0.325957 0.564573i −0.655749 0.754979i \(-0.727647\pi\)
0.981705 + 0.190406i \(0.0609804\pi\)
\(38\) 6.15701 + 1.30871i 0.998798 + 0.212301i
\(39\) 2.33826 7.19643i 0.374421 1.15235i
\(40\) −2.39169 + 0.508370i −0.378160 + 0.0803804i
\(41\) −1.10171 + 10.4820i −0.172057 + 1.63702i 0.478876 + 0.877882i \(0.341044\pi\)
−0.650934 + 0.759135i \(0.725622\pi\)
\(42\) −0.895472 + 0.994522i −0.138174 + 0.153458i
\(43\) −3.70498 + 1.64956i −0.565004 + 0.251556i −0.669302 0.742990i \(-0.733407\pi\)
0.104299 + 0.994546i \(0.466740\pi\)
\(44\) −1.90520 0.848249i −0.287219 0.127878i
\(45\) −0.624938 0.694064i −0.0931602 0.103465i
\(46\) −4.13154 + 3.00174i −0.609162 + 0.442582i
\(47\) −3.74346 + 2.71978i −0.546040 + 0.396721i −0.826323 0.563196i \(-0.809572\pi\)
0.280283 + 0.959917i \(0.409572\pi\)
\(48\) 1.08268 + 1.20243i 0.156271 + 0.173556i
\(49\) −5.76988 2.56892i −0.824269 0.366988i
\(50\) 0.894028 0.398047i 0.126435 0.0562924i
\(51\) 6.52530 7.24708i 0.913725 1.01479i
\(52\) −0.488830 + 4.65090i −0.0677885 + 0.644964i
\(53\) −1.59901 + 0.339879i −0.219640 + 0.0466860i −0.316417 0.948620i \(-0.602480\pi\)
0.0967770 + 0.995306i \(0.469147\pi\)
\(54\) −1.69098 + 5.20431i −0.230114 + 0.708217i
\(55\) 4.98787 + 1.06021i 0.672565 + 0.142958i
\(56\) 0.413545 0.716282i 0.0552623 0.0957172i
\(57\) 5.09240 + 8.82030i 0.674505 + 1.16828i
\(58\) 2.05248 + 6.31687i 0.269503 + 0.829446i
\(59\) 1.15543 + 10.9931i 0.150424 + 1.43118i 0.765865 + 0.643002i \(0.222311\pi\)
−0.615441 + 0.788183i \(0.711022\pi\)
\(60\) −3.20071 2.32545i −0.413210 0.300215i
\(61\) 10.5530 1.35117 0.675584 0.737283i \(-0.263891\pi\)
0.675584 + 0.737283i \(0.263891\pi\)
\(62\) 1.07890 5.46223i 0.137020 0.693704i
\(63\) 0.315921 0.0398023
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −1.19525 11.3720i −0.148252 1.41053i
\(66\) −1.04275 3.20925i −0.128354 0.395032i
\(67\) 0.0971366 + 0.168246i 0.0118671 + 0.0205545i 0.871898 0.489688i \(-0.162889\pi\)
−0.860031 + 0.510242i \(0.829556\pi\)
\(68\) −3.01351 + 5.21954i −0.365441 + 0.632963i
\(69\) −8.08251 1.71799i −0.973020 0.206822i
\(70\) −0.624938 + 1.92336i −0.0746943 + 0.229886i
\(71\) 5.12319 1.08897i 0.608011 0.129237i 0.106390 0.994324i \(-0.466071\pi\)
0.501621 + 0.865088i \(0.332737\pi\)
\(72\) 0.0399263 0.379874i 0.00470536 0.0447685i
\(73\) −0.985705 + 1.09474i −0.115368 + 0.128129i −0.798062 0.602575i \(-0.794141\pi\)
0.682694 + 0.730704i \(0.260808\pi\)
\(74\) −3.62260 + 1.61289i −0.421119 + 0.187494i
\(75\) 1.44657 + 0.644054i 0.167035 + 0.0743689i
\(76\) −4.21188 4.67777i −0.483136 0.536577i
\(77\) −1.39547 + 1.01387i −0.159029 + 0.115541i
\(78\) −6.12165 + 4.44764i −0.693140 + 0.503596i
\(79\) −8.33915 9.26157i −0.938228 1.04201i −0.999038 0.0438584i \(-0.986035\pi\)
0.0608097 0.998149i \(-0.480632\pi\)
\(80\) 2.23373 + 0.994522i 0.249739 + 0.111191i
\(81\) −7.04179 + 3.13521i −0.782422 + 0.348357i
\(82\) 7.05248 7.83257i 0.778816 0.864963i
\(83\) 0.0835291 0.794726i 0.00916851 0.0872325i −0.988981 0.148044i \(-0.952702\pi\)
0.998149 + 0.0608116i \(0.0193689\pi\)
\(84\) 1.30902 0.278240i 0.142825 0.0303585i
\(85\) 4.55392 14.0155i 0.493942 1.52020i
\(86\) 3.96698 + 0.843207i 0.427770 + 0.0909254i
\(87\) −5.37345 + 9.30710i −0.576095 + 0.997825i
\(88\) 1.04275 + 1.80610i 0.111157 + 0.192530i
\(89\) −0.991653 3.05199i −0.105115 0.323511i 0.884642 0.466270i \(-0.154403\pi\)
−0.989757 + 0.142759i \(0.954403\pi\)
\(90\) 0.0976248 + 0.928838i 0.0102906 + 0.0979082i
\(91\) 3.12920 + 2.27350i 0.328030 + 0.238328i
\(92\) 5.10686 0.532427
\(93\) 7.73607 4.61653i 0.802193 0.478711i
\(94\) 4.62717 0.477256
\(95\) 12.4516 + 9.04659i 1.27750 + 0.928160i
\(96\) −0.169131 1.60917i −0.0172618 0.164235i
\(97\) −3.98223 12.2560i −0.404334 1.24441i −0.921450 0.388497i \(-0.872994\pi\)
0.517116 0.855915i \(-0.327006\pi\)
\(98\) 3.15796 + 5.46975i 0.319002 + 0.552528i
\(99\) −0.398295 + 0.689867i −0.0400301 + 0.0693343i
\(100\) −0.957250 0.203470i −0.0957250 0.0203470i
\(101\) 1.31359 4.04280i 0.130707 0.402274i −0.864191 0.503164i \(-0.832169\pi\)
0.994898 + 0.100890i \(0.0321691\pi\)
\(102\) −9.53881 + 2.02754i −0.944483 + 0.200756i
\(103\) 0.489153 4.65398i 0.0481977 0.458570i −0.943632 0.330998i \(-0.892615\pi\)
0.991829 0.127572i \(-0.0407185\pi\)
\(104\) 3.12920 3.47533i 0.306844 0.340784i
\(105\) −2.98932 + 1.33093i −0.291728 + 0.129885i
\(106\) 1.49340 + 0.664904i 0.145052 + 0.0645812i
\(107\) 3.68682 + 4.09463i 0.356418 + 0.395842i 0.894513 0.447042i \(-0.147522\pi\)
−0.538095 + 0.842884i \(0.680856\pi\)
\(108\) 4.42705 3.21644i 0.425993 0.309502i
\(109\) −5.85239 + 4.25201i −0.560557 + 0.407269i −0.831663 0.555281i \(-0.812611\pi\)
0.271105 + 0.962550i \(0.412611\pi\)
\(110\) −3.41210 3.78952i −0.325331 0.361317i
\(111\) −5.86149 2.60971i −0.556348 0.247702i
\(112\) −0.755585 + 0.336408i −0.0713961 + 0.0317876i
\(113\) −11.3788 + 12.6374i −1.07043 + 1.18883i −0.0891899 + 0.996015i \(0.528428\pi\)
−0.981235 + 0.192813i \(0.938239\pi\)
\(114\) 1.06460 10.1290i 0.0997091 0.948669i
\(115\) −12.2141 + 2.59618i −1.13897 + 0.242095i
\(116\) 2.05248 6.31687i 0.190568 0.586507i
\(117\) 1.74724 + 0.371387i 0.161532 + 0.0343347i
\(118\) 5.52685 9.57278i 0.508787 0.881246i
\(119\) 2.49244 + 4.31704i 0.228482 + 0.395742i
\(120\) 1.22256 + 3.76266i 0.111604 + 0.343482i
\(121\) 0.695187 + 6.61426i 0.0631988 + 0.601296i
\(122\) −8.53753 6.20288i −0.772951 0.561582i
\(123\) 17.0537 1.53768
\(124\) −4.08347 + 3.78488i −0.366706 + 0.339892i
\(125\) −9.83274 −0.879467
\(126\) −0.255585 0.185693i −0.0227693 0.0165429i
\(127\) 0.102028 + 0.970733i 0.00905353 + 0.0861386i 0.998116 0.0613611i \(-0.0195441\pi\)
−0.989062 + 0.147500i \(0.952877\pi\)
\(128\) 0.309017 + 0.951057i 0.0273135 + 0.0840623i
\(129\) 3.28105 + 5.68295i 0.288880 + 0.500356i
\(130\) −5.71734 + 9.90272i −0.501444 + 0.868526i
\(131\) 6.19673 + 1.31716i 0.541411 + 0.115080i 0.470496 0.882402i \(-0.344075\pi\)
0.0709146 + 0.997482i \(0.477408\pi\)
\(132\) −1.04275 + 3.20925i −0.0907597 + 0.279330i
\(133\) −5.09240 + 1.08242i −0.441567 + 0.0938580i
\(134\) 0.0203071 0.193209i 0.00175427 0.0166907i
\(135\) −8.95300 + 9.94332i −0.770552 + 0.855785i
\(136\) 5.50595 2.45141i 0.472131 0.210206i
\(137\) −2.18294 0.971907i −0.186501 0.0830356i 0.311362 0.950291i \(-0.399215\pi\)
−0.497863 + 0.867256i \(0.665882\pi\)
\(138\) 5.52908 + 6.14066i 0.470666 + 0.522728i
\(139\) 17.6460 12.8206i 1.49671 1.08743i 0.525046 0.851074i \(-0.324048\pi\)
0.971667 0.236352i \(-0.0759519\pi\)
\(140\) 1.63611 1.18870i 0.138276 0.100464i
\(141\) 5.00973 + 5.56387i 0.421895 + 0.468562i
\(142\) −4.78483 2.13034i −0.401534 0.178774i
\(143\) −8.90970 + 3.96686i −0.745067 + 0.331725i
\(144\) −0.255585 + 0.283856i −0.0212988 + 0.0236547i
\(145\) −1.69758 + 16.1514i −0.140977 + 1.34130i
\(146\) 1.44092 0.306277i 0.119251 0.0253477i
\(147\) −3.15796 + 9.71920i −0.260464 + 0.801626i
\(148\) 3.87878 + 0.824460i 0.318834 + 0.0677702i
\(149\) 0.218194 0.377923i 0.0178751 0.0309606i −0.856949 0.515400i \(-0.827643\pi\)
0.874825 + 0.484440i \(0.160977\pi\)
\(150\) −0.791733 1.37132i −0.0646447 0.111968i
\(151\) −2.97437 9.15417i −0.242051 0.744956i −0.996108 0.0881463i \(-0.971906\pi\)
0.754057 0.656809i \(-0.228094\pi\)
\(152\) 0.657960 + 6.26007i 0.0533676 + 0.507759i
\(153\) 1.86245 + 1.35315i 0.150570 + 0.109396i
\(154\) 1.72490 0.138996
\(155\) 7.84228 11.1282i 0.629907 0.893837i
\(156\) 7.56677 0.605827
\(157\) −11.7585 8.54308i −0.938434 0.681812i 0.00960915 0.999954i \(-0.496941\pi\)
−0.948043 + 0.318142i \(0.896941\pi\)
\(158\) 1.30270 + 12.3944i 0.103638 + 0.986045i
\(159\) 0.817364 + 2.51559i 0.0648212 + 0.199499i
\(160\) −1.22256 2.11754i −0.0966520 0.167406i
\(161\) 2.11192 3.65795i 0.166443 0.288287i
\(162\) 7.53976 + 1.60263i 0.592380 + 0.125914i
\(163\) 3.56586 10.9746i 0.279300 0.859596i −0.708750 0.705460i \(-0.750741\pi\)
0.988050 0.154136i \(-0.0492594\pi\)
\(164\) −10.3094 + 2.19134i −0.805032 + 0.171115i
\(165\) 0.862449 8.20565i 0.0671416 0.638809i
\(166\) −0.534705 + 0.593850i −0.0415011 + 0.0460917i
\(167\) 14.3378 6.38360i 1.10949 0.493978i 0.231588 0.972814i \(-0.425608\pi\)
0.877904 + 0.478836i \(0.158941\pi\)
\(168\) −1.22256 0.544320i −0.0943227 0.0419952i
\(169\) 5.93510 + 6.59159i 0.456546 + 0.507046i
\(170\) −11.9223 + 8.66207i −0.914400 + 0.664350i
\(171\) −1.94512 + 1.41322i −0.148747 + 0.108071i
\(172\) −2.71373 3.01390i −0.206920 0.229808i
\(173\) −18.2294 8.11626i −1.38596 0.617068i −0.427948 0.903804i \(-0.640763\pi\)
−0.958010 + 0.286735i \(0.907430\pi\)
\(174\) 9.81779 4.37116i 0.744285 0.331377i
\(175\) −0.541608 + 0.601517i −0.0409417 + 0.0454704i
\(176\) 0.217994 2.07407i 0.0164319 0.156339i
\(177\) 17.4944 3.71855i 1.31496 0.279504i
\(178\) −0.991653 + 3.05199i −0.0743275 + 0.228757i
\(179\) 2.14728 + 0.456418i 0.160495 + 0.0341143i 0.287458 0.957793i \(-0.407190\pi\)
−0.126963 + 0.991907i \(0.540523\pi\)
\(180\) 0.466977 0.808828i 0.0348064 0.0602865i
\(181\) 3.27504 + 5.67253i 0.243432 + 0.421636i 0.961690 0.274141i \(-0.0883935\pi\)
−0.718258 + 0.695777i \(0.755060\pi\)
\(182\) −1.19525 3.67860i −0.0885978 0.272676i
\(183\) −1.78483 16.9815i −0.131938 1.25531i
\(184\) −4.13154 3.00174i −0.304581 0.221291i
\(185\) −9.69598 −0.712862
\(186\) −8.97214 0.812299i −0.657869 0.0595607i
\(187\) −12.5693 −0.919160
\(188\) −3.74346 2.71978i −0.273020 0.198361i
\(189\) −0.473091 4.50116i −0.0344123 0.327411i
\(190\) −4.75607 14.6377i −0.345042 1.06193i
\(191\) −9.97197 17.2720i −0.721546 1.24976i −0.960380 0.278695i \(-0.910098\pi\)
0.238833 0.971061i \(-0.423235\pi\)
\(192\) −0.809017 + 1.40126i −0.0583858 + 0.101127i
\(193\) 11.6768 + 2.48199i 0.840516 + 0.178657i 0.608002 0.793936i \(-0.291971\pi\)
0.232514 + 0.972593i \(0.425305\pi\)
\(194\) −3.98223 + 12.2560i −0.285907 + 0.879932i
\(195\) −18.0974 + 3.84672i −1.29598 + 0.275469i
\(196\) 0.660193 6.28132i 0.0471567 0.448666i
\(197\) 8.54742 9.49287i 0.608978 0.676339i −0.357255 0.934007i \(-0.616287\pi\)
0.966234 + 0.257668i \(0.0829540\pi\)
\(198\) 0.727721 0.324002i 0.0517169 0.0230258i
\(199\) 16.1517 + 7.19121i 1.14497 + 0.509771i 0.889449 0.457034i \(-0.151088\pi\)
0.255516 + 0.966805i \(0.417755\pi\)
\(200\) 0.654835 + 0.727268i 0.0463038 + 0.0514256i
\(201\) 0.254307 0.184765i 0.0179374 0.0130323i
\(202\) −3.43901 + 2.49859i −0.241968 + 0.175800i
\(203\) −3.67587 4.08247i −0.257995 0.286533i
\(204\) 8.90881 + 3.96646i 0.623742 + 0.277708i
\(205\) 23.5430 10.4820i 1.64432 0.732096i
\(206\) −3.13127 + 3.47763i −0.218166 + 0.242298i
\(207\) 0.203898 1.93996i 0.0141719 0.134837i
\(208\) −4.57433 + 0.972304i −0.317173 + 0.0674171i
\(209\) 4.05656 12.4848i 0.280598 0.863592i
\(210\) 3.20071 + 0.680332i 0.220870 + 0.0469474i
\(211\) −11.9646 + 20.7233i −0.823676 + 1.42665i 0.0792517 + 0.996855i \(0.474747\pi\)
−0.902927 + 0.429793i \(0.858586\pi\)
\(212\) −0.817364 1.41572i −0.0561368 0.0972318i
\(213\) −2.61882 8.05991i −0.179439 0.552256i
\(214\) −0.575938 5.47968i −0.0393703 0.374583i
\(215\) 8.02258 + 5.82875i 0.547135 + 0.397517i
\(216\) −5.47214 −0.372332
\(217\) 1.02234 + 4.49013i 0.0694010 + 0.304810i
\(218\) 7.23395 0.489945
\(219\) 1.92833 + 1.40101i 0.130304 + 0.0946717i
\(220\) 0.533023 + 5.07137i 0.0359364 + 0.341912i
\(221\) 8.70978 + 26.8060i 0.585883 + 1.80316i
\(222\) 3.20810 + 5.55660i 0.215314 + 0.372934i
\(223\) −8.12010 + 14.0644i −0.543762 + 0.941824i 0.454921 + 0.890532i \(0.349667\pi\)
−0.998684 + 0.0512923i \(0.983666\pi\)
\(224\) 0.809017 + 0.171962i 0.0540547 + 0.0114897i
\(225\) −0.115512 + 0.355510i −0.00770082 + 0.0237007i
\(226\) 16.6337 3.53560i 1.10646 0.235185i
\(227\) −0.185438 + 1.76433i −0.0123080 + 0.117102i −0.998951 0.0457959i \(-0.985418\pi\)
0.986643 + 0.162898i \(0.0520843\pi\)
\(228\) −6.81497 + 7.56879i −0.451332 + 0.501255i
\(229\) −3.85285 + 1.71540i −0.254603 + 0.113357i −0.530070 0.847954i \(-0.677834\pi\)
0.275467 + 0.961311i \(0.411168\pi\)
\(230\) 11.4074 + 5.07889i 0.752180 + 0.334892i
\(231\) 1.86751 + 2.07407i 0.122873 + 0.136464i
\(232\) −5.37345 + 3.90404i −0.352785 + 0.256313i
\(233\) 14.5633 10.5809i 0.954075 0.693176i 0.00230755 0.999997i \(-0.499265\pi\)
0.951767 + 0.306822i \(0.0992655\pi\)
\(234\) −1.19525 1.32746i −0.0781359 0.0867787i
\(235\) 10.3359 + 4.60182i 0.674237 + 0.300190i
\(236\) −10.0980 + 4.49594i −0.657327 + 0.292661i
\(237\) −13.4930 + 14.9855i −0.876467 + 0.973415i
\(238\) 0.521062 4.95758i 0.0337755 0.321352i
\(239\) −3.14870 + 0.669277i −0.203672 + 0.0432919i −0.308618 0.951186i \(-0.599866\pi\)
0.104946 + 0.994478i \(0.466533\pi\)
\(240\) 1.22256 3.76266i 0.0789161 0.242879i
\(241\) −14.5397 3.09050i −0.936582 0.199077i −0.285755 0.958303i \(-0.592244\pi\)
−0.650827 + 0.759226i \(0.725578\pi\)
\(242\) 3.32535 5.75967i 0.213761 0.370245i
\(243\) −1.97214 3.41584i −0.126513 0.219126i
\(244\) 3.26105 + 10.0365i 0.208767 + 0.642519i
\(245\) 1.61426 + 15.3586i 0.103131 + 0.981226i
\(246\) −13.7967 10.0239i −0.879647 0.639101i
\(247\) −29.4366 −1.87301
\(248\) 5.52829 0.661830i 0.351047 0.0420262i
\(249\) −1.29298 −0.0819391
\(250\) 7.95485 + 5.77954i 0.503109 + 0.365530i
\(251\) 0.586391 + 5.57914i 0.0370127 + 0.352152i 0.997317 + 0.0731990i \(0.0233208\pi\)
−0.960305 + 0.278953i \(0.910013\pi\)
\(252\) 0.0976248 + 0.300458i 0.00614979 + 0.0189271i
\(253\) 5.32518 + 9.22348i 0.334791 + 0.579875i
\(254\) 0.488040 0.845310i 0.0306223 0.0530394i
\(255\) −23.3236 4.95758i −1.46058 0.310456i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 17.1983 3.65561i 1.07280 0.228030i 0.362538 0.931969i \(-0.381910\pi\)
0.710261 + 0.703939i \(0.248577\pi\)
\(258\) 0.685926 6.52615i 0.0427039 0.406301i
\(259\) 2.19460 2.43735i 0.136366 0.151449i
\(260\) 10.4461 4.65090i 0.647840 0.288437i
\(261\) −2.31767 1.03189i −0.143460 0.0638725i
\(262\) −4.23906 4.70795i −0.261890 0.290858i
\(263\) 6.24452 4.53691i 0.385053 0.279758i −0.378372 0.925654i \(-0.623516\pi\)
0.763425 + 0.645896i \(0.223516\pi\)
\(264\) 2.72995 1.98343i 0.168017 0.122072i
\(265\) 2.67459 + 2.97043i 0.164299 + 0.182472i
\(266\) 4.75607 + 2.11754i 0.291614 + 0.129835i
\(267\) −4.74346 + 2.11192i −0.290295 + 0.129248i
\(268\) −0.129994 + 0.144373i −0.00794066 + 0.00881900i
\(269\) −0.442688 + 4.21189i −0.0269911 + 0.256804i 0.972703 + 0.232055i \(0.0745451\pi\)
−0.999694 + 0.0247482i \(0.992122\pi\)
\(270\) 13.0877 2.78187i 0.796490 0.169299i
\(271\) −5.97683 + 18.3948i −0.363066 + 1.11740i 0.588117 + 0.808776i \(0.299870\pi\)
−0.951183 + 0.308627i \(0.900130\pi\)
\(272\) −5.89531 1.25309i −0.357455 0.0759795i
\(273\) 3.12920 5.41994i 0.189388 0.328030i
\(274\) 1.19476 + 2.06939i 0.0721782 + 0.125016i
\(275\) −0.630687 1.94105i −0.0380318 0.117050i
\(276\) −0.863727 8.21781i −0.0519903 0.494654i
\(277\) 7.07183 + 5.13798i 0.424905 + 0.308712i 0.779608 0.626267i \(-0.215418\pi\)
−0.354703 + 0.934979i \(0.615418\pi\)
\(278\) −21.8116 −1.30818
\(279\) 1.27474 + 1.70232i 0.0763165 + 0.101915i
\(280\) −2.02234 −0.120858
\(281\) −19.9446 14.4906i −1.18979 0.864437i −0.196552 0.980493i \(-0.562975\pi\)
−0.993243 + 0.116057i \(0.962975\pi\)
\(282\) −0.782596 7.44591i −0.0466029 0.443397i
\(283\) −6.82585 21.0078i −0.405755 1.24878i −0.920264 0.391299i \(-0.872026\pi\)
0.514509 0.857485i \(-0.327974\pi\)
\(284\) 2.61882 + 4.53594i 0.155399 + 0.269158i
\(285\) 12.4516 21.5667i 0.737567 1.27750i
\(286\) 9.53976 + 2.02774i 0.564098 + 0.119903i
\(287\) −2.69381 + 8.29068i −0.159010 + 0.489384i
\(288\) 0.373619 0.0794152i 0.0220157 0.00467959i
\(289\) −2.02000 + 19.2190i −0.118823 + 1.13053i
\(290\) 10.8670 12.0690i 0.638130 0.708715i
\(291\) −19.0485 + 8.48095i −1.11664 + 0.497162i
\(292\) −1.34576 0.599169i −0.0787544 0.0350637i
\(293\) 8.96330 + 9.95475i 0.523642 + 0.581563i 0.945714 0.324999i \(-0.105364\pi\)
−0.422073 + 0.906562i \(0.638697\pi\)
\(294\) 8.26765 6.00680i 0.482179 0.350324i
\(295\) 21.8658 15.8865i 1.27308 0.924945i
\(296\) −2.65339 2.94689i −0.154225 0.171285i
\(297\) 10.4255 + 4.64173i 0.604949 + 0.269341i
\(298\) −0.398660 + 0.177495i −0.0230937 + 0.0102820i
\(299\) 15.9804 17.7481i 0.924172 1.02640i
\(300\) −0.165517 + 1.57479i −0.00955614 + 0.0909206i
\(301\) −3.28105 + 0.697409i −0.189117 + 0.0401980i
\(302\) −2.97437 + 9.15417i −0.171156 + 0.526763i
\(303\) −6.72772 1.43002i −0.386497 0.0821526i
\(304\) 3.14728 5.45125i 0.180509 0.312650i
\(305\) −12.9017 22.3463i −0.738747 1.27955i
\(306\) −0.711392 2.18944i −0.0406676 0.125162i
\(307\) 0.152377 + 1.44977i 0.00869659 + 0.0827425i 0.998009 0.0630667i \(-0.0200881\pi\)
−0.989313 + 0.145809i \(0.953421\pi\)
\(308\) −1.39547 1.01387i −0.0795144 0.0577706i
\(309\) −7.57177 −0.430743
\(310\) −12.8855 + 4.39331i −0.731848 + 0.249523i
\(311\) 16.7688 0.950874 0.475437 0.879750i \(-0.342290\pi\)
0.475437 + 0.879750i \(0.342290\pi\)
\(312\) −6.12165 4.44764i −0.346570 0.251798i
\(313\) 0.160524 + 1.52728i 0.00907334 + 0.0863271i 0.998121 0.0612664i \(-0.0195139\pi\)
−0.989048 + 0.147593i \(0.952847\pi\)
\(314\) 4.49136 + 13.8230i 0.253462 + 0.780077i
\(315\) −0.386233 0.668975i −0.0217617 0.0376925i
\(316\) 6.23133 10.7930i 0.350540 0.607153i
\(317\) 6.71287 + 1.42686i 0.377032 + 0.0801407i 0.392530 0.919739i \(-0.371600\pi\)
−0.0154977 + 0.999880i \(0.504933\pi\)
\(318\) 0.817364 2.51559i 0.0458355 0.141067i
\(319\) 13.5491 2.87995i 0.758604 0.161246i
\(320\) −0.255585 + 2.43173i −0.0142876 + 0.135938i
\(321\) 5.96540 6.62525i 0.332956 0.369785i
\(322\) −3.85867 + 1.71799i −0.215035 + 0.0957399i
\(323\) −34.6575 15.4305i −1.92840 0.858577i
\(324\) −5.15780 5.72831i −0.286544 0.318240i
\(325\) −3.70256 + 2.69007i −0.205381 + 0.149218i
\(326\) −9.33554 + 6.78267i −0.517048 + 0.375657i
\(327\) 7.83203 + 8.69835i 0.433112 + 0.481020i
\(328\) 9.62855 + 4.28691i 0.531648 + 0.236705i
\(329\) −3.49622 + 1.55662i −0.192753 + 0.0858191i
\(330\) −5.52090 + 6.13158i −0.303915 + 0.337532i
\(331\) −0.939444 + 8.93821i −0.0516365 + 0.491288i 0.937890 + 0.346934i \(0.112777\pi\)
−0.989526 + 0.144354i \(0.953889\pi\)
\(332\) 0.781641 0.166143i 0.0428981 0.00911828i
\(333\) 0.468056 1.44053i 0.0256493 0.0789404i
\(334\) −15.3517 3.26311i −0.840008 0.178549i
\(335\) 0.237511 0.411382i 0.0129766 0.0224762i
\(336\) 0.669131 + 1.15897i 0.0365041 + 0.0632269i
\(337\) 2.94249 + 9.05605i 0.160288 + 0.493314i 0.998658 0.0517863i \(-0.0164915\pi\)
−0.838371 + 0.545101i \(0.816491\pi\)
\(338\) −0.927153 8.82127i −0.0504305 0.479814i
\(339\) 22.2602 + 16.1730i 1.20901 + 0.878398i
\(340\) 14.7368 0.799215
\(341\) −11.0939 3.42845i −0.600768 0.185661i
\(342\) 2.40431 0.130010
\(343\) −8.91009 6.47356i −0.481100 0.349539i
\(344\) 0.423926 + 4.03338i 0.0228565 + 0.217466i
\(345\) 6.24346 + 19.2154i 0.336137 + 1.03452i
\(346\) 9.97729 + 17.2812i 0.536383 + 0.929042i
\(347\) 10.3893 17.9948i 0.557727 0.966011i −0.439959 0.898018i \(-0.645007\pi\)
0.997686 0.0679930i \(-0.0216596\pi\)
\(348\) −10.5121 2.23441i −0.563506 0.119777i
\(349\) −9.34476 + 28.7602i −0.500214 + 1.53950i 0.308458 + 0.951238i \(0.400187\pi\)
−0.808671 + 0.588261i \(0.799813\pi\)
\(350\) 0.791733 0.168288i 0.0423199 0.00899537i
\(351\) 2.67494 25.4504i 0.142778 1.35844i
\(352\) −1.39547 + 1.54983i −0.0743789 + 0.0826061i
\(353\) −8.41044 + 3.74457i −0.447643 + 0.199303i −0.618162 0.786051i \(-0.712122\pi\)
0.170519 + 0.985354i \(0.445456\pi\)
\(354\) −16.3390 7.27459i −0.868407 0.386640i
\(355\) −8.56936 9.51724i −0.454814 0.505122i
\(356\) 2.59618 1.88624i 0.137597 0.0999703i
\(357\) 6.52530 4.74091i 0.345356 0.250915i
\(358\) −1.46891 1.63139i −0.0776342 0.0862216i
\(359\) 14.7629 + 6.57284i 0.779153 + 0.346901i 0.757476 0.652864i \(-0.226432\pi\)
0.0216779 + 0.999765i \(0.493099\pi\)
\(360\) −0.853210 + 0.379874i −0.0449681 + 0.0200211i
\(361\) 13.7984 15.3247i 0.726234 0.806564i
\(362\) 0.684670 6.51420i 0.0359854 0.342379i
\(363\) 10.5259 2.23735i 0.552466 0.117430i
\(364\) −1.19525 + 3.67860i −0.0626481 + 0.192811i
\(365\) 3.52323 + 0.748886i 0.184414 + 0.0391985i
\(366\) −8.53753 + 14.7874i −0.446264 + 0.772951i
\(367\) −0.888891 1.53960i −0.0463997 0.0803667i 0.841893 0.539645i \(-0.181441\pi\)
−0.888293 + 0.459278i \(0.848108\pi\)
\(368\) 1.57811 + 4.85692i 0.0822645 + 0.253184i
\(369\) 0.420814 + 4.00378i 0.0219067 + 0.208428i
\(370\) 7.84421 + 5.69915i 0.407801 + 0.296285i
\(371\) −1.35207 −0.0701959
\(372\) 6.78115 + 5.93085i 0.351586 + 0.307500i
\(373\) −19.1685 −0.992508 −0.496254 0.868177i \(-0.665292\pi\)
−0.496254 + 0.868177i \(0.665292\pi\)
\(374\) 10.1688 + 7.38807i 0.525816 + 0.382028i
\(375\) 1.66302 + 15.8225i 0.0858778 + 0.817073i
\(376\) 1.42987 + 4.40070i 0.0737401 + 0.226949i
\(377\) −15.5306 26.8998i −0.799868 1.38541i
\(378\) −2.26298 + 3.91959i −0.116395 + 0.201602i
\(379\) −24.9806 5.30979i −1.28317 0.272746i −0.484646 0.874711i \(-0.661051\pi\)
−0.798523 + 0.601965i \(0.794385\pi\)
\(380\) −4.75607 + 14.6377i −0.243981 + 0.750898i
\(381\) 1.54482 0.328361i 0.0791434 0.0168225i
\(382\) −2.08471 + 19.8347i −0.106663 + 1.01483i
\(383\) −1.89614 + 2.10588i −0.0968884 + 0.107605i −0.789639 0.613572i \(-0.789732\pi\)
0.692750 + 0.721177i \(0.256399\pi\)
\(384\) 1.47815 0.658114i 0.0754314 0.0335842i
\(385\) 3.85296 + 1.71545i 0.196365 + 0.0874274i
\(386\) −7.98787 8.87143i −0.406572 0.451544i
\(387\) −1.25325 + 0.910539i −0.0637063 + 0.0462853i
\(388\) 10.4256 7.57465i 0.529280 0.384544i
\(389\) 10.9834 + 12.1983i 0.556883 + 0.618481i 0.954189 0.299205i \(-0.0967215\pi\)
−0.397306 + 0.917686i \(0.630055\pi\)
\(390\) 16.9021 + 7.52532i 0.855873 + 0.381059i
\(391\) 28.1181 12.5190i 1.42199 0.633113i
\(392\) −4.22618 + 4.69364i −0.213454 + 0.237065i
\(393\) 1.07147 10.1944i 0.0540486 0.514238i
\(394\) −12.4948 + 2.65585i −0.629478 + 0.133800i
\(395\) −9.41661 + 28.9813i −0.473801 + 1.45821i
\(396\) −0.779183 0.165620i −0.0391554 0.00832274i
\(397\) 7.54967 13.0764i 0.378907 0.656287i −0.611996 0.790861i \(-0.709633\pi\)
0.990904 + 0.134574i \(0.0429666\pi\)
\(398\) −8.84013 15.3116i −0.443116 0.767499i
\(399\) 2.60309 + 8.01147i 0.130317 + 0.401075i
\(400\) −0.102295 0.973275i −0.00511476 0.0486637i
\(401\) −11.3356 8.23579i −0.566073 0.411276i 0.267604 0.963529i \(-0.413768\pi\)
−0.833676 + 0.552253i \(0.813768\pi\)
\(402\) −0.314341 −0.0156779
\(403\) 0.375716 + 26.0351i 0.0187157 + 1.29690i
\(404\) 4.25085 0.211488
\(405\) 15.2480 + 11.0783i 0.757677 + 0.550485i
\(406\) 0.574227 + 5.46341i 0.0284984 + 0.271144i
\(407\) 2.55554 + 7.86515i 0.126673 + 0.389861i
\(408\) −4.87595 8.44540i −0.241396 0.418110i
\(409\) 13.9065 24.0868i 0.687633 1.19102i −0.284969 0.958537i \(-0.591983\pi\)
0.972602 0.232478i \(-0.0746835\pi\)
\(410\) −25.2079 5.35810i −1.24493 0.264618i
\(411\) −1.19476 + 3.67710i −0.0589332 + 0.181378i
\(412\) 4.57735 0.972946i 0.225510 0.0479336i
\(413\) −0.955642 + 9.09233i −0.0470241 + 0.447404i
\(414\) −1.30524 + 1.44961i −0.0641490 + 0.0712447i
\(415\) −1.78498 + 0.794726i −0.0876214 + 0.0390116i
\(416\) 4.27222 + 1.90211i 0.209463 + 0.0932588i
\(417\) −23.6149 26.2271i −1.15643 1.28434i
\(418\) −10.6202 + 7.71603i −0.519451 + 0.377403i
\(419\) −21.2657 + 15.4505i −1.03890 + 0.754804i −0.970070 0.242824i \(-0.921926\pi\)
−0.0688289 + 0.997628i \(0.521926\pi\)
\(420\) −2.18954 2.43173i −0.106839 0.118656i
\(421\) 11.1903 + 4.98223i 0.545380 + 0.242819i 0.660884 0.750488i \(-0.270182\pi\)
−0.115504 + 0.993307i \(0.536848\pi\)
\(422\) 21.8604 9.73287i 1.06415 0.473788i
\(423\) −1.18264 + 1.31345i −0.0575017 + 0.0638621i
\(424\) −0.170876 + 1.62577i −0.00829845 + 0.0789545i
\(425\) −5.76936 + 1.22631i −0.279855 + 0.0594850i
\(426\) −2.61882 + 8.05991i −0.126882 + 0.390504i
\(427\) 8.53753 + 1.81471i 0.413160 + 0.0878199i
\(428\) −2.75493 + 4.77168i −0.133165 + 0.230648i
\(429\) 7.89025 + 13.6663i 0.380945 + 0.659816i
\(430\) −3.06435 9.43111i −0.147776 0.454808i
\(431\) −4.03209 38.3628i −0.194219 1.84787i −0.465102 0.885257i \(-0.653982\pi\)
0.270883 0.962612i \(-0.412684\pi\)
\(432\) 4.42705 + 3.21644i 0.212997 + 0.154751i
\(433\) −34.3573 −1.65110 −0.825552 0.564326i \(-0.809136\pi\)
−0.825552 + 0.564326i \(0.809136\pi\)
\(434\) 1.81214 4.23351i 0.0869856 0.203215i
\(435\) 26.2775 1.25991
\(436\) −5.85239 4.25201i −0.280279 0.203634i
\(437\) 3.36011 + 31.9693i 0.160736 + 1.52930i
\(438\) −0.736556 2.26689i −0.0351940 0.108316i
\(439\) 5.60715 + 9.71187i 0.267615 + 0.463522i 0.968245 0.250002i \(-0.0804312\pi\)
−0.700631 + 0.713524i \(0.747098\pi\)
\(440\) 2.54965 4.41613i 0.121550 0.210531i
\(441\) −2.35975 0.501580i −0.112369 0.0238848i
\(442\) 8.70978 26.8060i 0.414282 1.27503i
\(443\) 19.0315 4.04527i 0.904215 0.192197i 0.267737 0.963492i \(-0.413724\pi\)
0.636478 + 0.771295i \(0.280391\pi\)
\(444\) 0.670676 6.38106i 0.0318289 0.302831i
\(445\) −5.25036 + 5.83112i −0.248891 + 0.276422i
\(446\) 14.8362 6.60549i 0.702513 0.312779i
\(447\) −0.645045 0.287193i −0.0305096 0.0135837i
\(448\) −0.553432 0.614648i −0.0261472 0.0290394i
\(449\) 6.43083 4.67227i 0.303490 0.220498i −0.425608 0.904907i \(-0.639940\pi\)
0.729098 + 0.684409i \(0.239940\pi\)
\(450\) 0.302415 0.219717i 0.0142560 0.0103576i
\(451\) −14.7079 16.3348i −0.692570 0.769177i
\(452\) −15.5351 6.91669i −0.730711 0.325334i
\(453\) −14.2276 + 6.33452i −0.668469 + 0.297622i
\(454\) 1.18707 1.31837i 0.0557119 0.0618743i
\(455\) 0.988580 9.40571i 0.0463454 0.440947i
\(456\) 9.96224 2.11754i 0.466525 0.0991629i
\(457\) 4.58771 14.1195i 0.214604 0.660483i −0.784577 0.620031i \(-0.787120\pi\)
0.999181 0.0404525i \(-0.0128800\pi\)
\(458\) 4.12530 + 0.876860i 0.192763 + 0.0409730i
\(459\) 16.4903 28.5621i 0.769702 1.33316i
\(460\) −6.24346 10.8140i −0.291103 0.504205i
\(461\) 1.31891 + 4.05919i 0.0614277 + 0.189055i 0.977061 0.212959i \(-0.0683102\pi\)
−0.915633 + 0.402014i \(0.868310\pi\)
\(462\) −0.291733 2.77565i −0.0135726 0.129135i
\(463\) 27.9284 + 20.2912i 1.29794 + 0.943011i 0.999933 0.0115511i \(-0.00367690\pi\)
0.298011 + 0.954563i \(0.403677\pi\)
\(464\) 6.64195 0.308345
\(465\) −19.2335 10.7374i −0.891932 0.497937i
\(466\) −18.0012 −0.833892
\(467\) 19.2172 + 13.9621i 0.889265 + 0.646089i 0.935686 0.352833i \(-0.114782\pi\)
−0.0464214 + 0.998922i \(0.514782\pi\)
\(468\) 0.186716 + 1.77649i 0.00863097 + 0.0821182i
\(469\) 0.0496534 + 0.152817i 0.00229278 + 0.00705645i
\(470\) −5.65701 9.79822i −0.260938 0.451958i
\(471\) −11.7585 + 20.3664i −0.541805 + 0.938434i
\(472\) 10.8121 + 2.29819i 0.497669 + 0.105783i
\(473\) 2.61365 8.04399i 0.120176 0.369863i
\(474\) 19.7244 4.19254i 0.905970 0.192570i
\(475\) 0.643904 6.12633i 0.0295443 0.281095i
\(476\) −3.33554 + 3.70449i −0.152884 + 0.169795i
\(477\) −0.570427 + 0.253971i −0.0261181 + 0.0116285i
\(478\) 2.94074 + 1.30930i 0.134506 + 0.0598861i
\(479\) −0.585313 0.650056i −0.0267436 0.0297018i 0.729625 0.683848i \(-0.239695\pi\)
−0.756368 + 0.654146i \(0.773028\pi\)
\(480\) −3.20071 + 2.32545i −0.146092 + 0.106142i
\(481\) 15.0028 10.9001i 0.684067 0.497004i
\(482\) 9.94628 + 11.0465i 0.453041 + 0.503153i
\(483\) −6.24346 2.77977i −0.284087 0.126484i
\(484\) −6.07571 + 2.70508i −0.276169 + 0.122958i
\(485\) −21.0841 + 23.4163i −0.957381 + 1.06328i
\(486\) −0.412289 + 3.92266i −0.0187018 + 0.177936i
\(487\) −29.0069 + 6.16560i −1.31443 + 0.279390i −0.811202 0.584766i \(-0.801187\pi\)
−0.503225 + 0.864156i \(0.667853\pi\)
\(488\) 3.26105 10.0365i 0.147621 0.454329i
\(489\) −18.2631 3.88194i −0.825885 0.175547i
\(490\) 7.72161 13.3742i 0.348827 0.604186i
\(491\) 0.0640119 + 0.110872i 0.00288882 + 0.00500358i 0.867466 0.497496i \(-0.165747\pi\)
−0.864577 + 0.502500i \(0.832414\pi\)
\(492\) 5.26988 + 16.2190i 0.237585 + 0.731210i
\(493\) −4.18439 39.8118i −0.188456 1.79304i
\(494\) 23.8147 + 17.3024i 1.07148 + 0.778473i
\(495\) 1.94776 0.0875454
\(496\) −4.86149 2.71402i −0.218288 0.121863i
\(497\) 4.33201 0.194317
\(498\) 1.04604 + 0.759993i 0.0468742 + 0.0340561i
\(499\) −2.00884 19.1128i −0.0899280 0.855608i −0.942771 0.333441i \(-0.891790\pi\)
0.852843 0.522167i \(-0.174876\pi\)
\(500\) −3.03848 9.35149i −0.135885 0.418211i
\(501\) −12.6973 21.9923i −0.567272 0.982543i
\(502\) 2.80494 4.85829i 0.125190 0.216836i
\(503\) −6.96665 1.48081i −0.310628 0.0660260i 0.0499601 0.998751i \(-0.484091\pi\)
−0.360588 + 0.932725i \(0.617424\pi\)
\(504\) 0.0976248 0.300458i 0.00434856 0.0133835i
\(505\) −10.1667 + 2.16101i −0.452414 + 0.0961635i
\(506\) 1.11327 10.5920i 0.0494907 0.470873i
\(507\) 9.60319 10.6654i 0.426493 0.473668i
\(508\) −0.891693 + 0.397007i −0.0395625 + 0.0176144i
\(509\) −33.7080 15.0077i −1.49408 0.665207i −0.512925 0.858434i \(-0.671438\pi\)
−0.981154 + 0.193227i \(0.938105\pi\)
\(510\) 15.9552 + 17.7200i 0.706507 + 0.784656i
\(511\) −0.985705 + 0.716156i −0.0436050 + 0.0316809i
\(512\) −0.809017 + 0.587785i −0.0357538 + 0.0259767i
\(513\) 23.0480 + 25.5974i 1.01759 + 1.13015i
\(514\) −16.0624 7.15144i −0.708482 0.315437i
\(515\) −10.4530 + 4.65398i −0.460614 + 0.205079i
\(516\) −4.39090 + 4.87659i −0.193299 + 0.214680i
\(517\) 1.00870 9.59710i 0.0443624 0.422080i
\(518\) −3.20810 + 0.681903i −0.140956 + 0.0299611i
\(519\) −9.97729 + 30.7070i −0.437955 + 1.34789i
\(520\) −11.1848 2.37740i −0.490486 0.104256i
\(521\) 0.407432 0.705692i 0.0178499 0.0309169i −0.856962 0.515379i \(-0.827651\pi\)
0.874812 + 0.484462i \(0.160985\pi\)
\(522\) 1.26850 + 2.19711i 0.0555208 + 0.0961648i
\(523\) 8.33412 + 25.6498i 0.364426 + 1.12159i 0.950340 + 0.311214i \(0.100735\pi\)
−0.585914 + 0.810373i \(0.699265\pi\)
\(524\) 0.662206 + 6.30047i 0.0289286 + 0.275237i
\(525\) 1.05955 + 0.769805i 0.0462424 + 0.0335970i
\(526\) −7.71865 −0.336549
\(527\) −13.2051 + 30.8496i −0.575222 + 1.34383i
\(528\) −3.37441 −0.146852
\(529\) −2.49182 1.81041i −0.108340 0.0787136i
\(530\) −0.417812 3.97522i −0.0181486 0.172672i
\(531\) 1.30471 + 4.01549i 0.0566196 + 0.174257i
\(532\) −2.60309 4.50868i −0.112858 0.195476i
\(533\) −24.6447 + 42.6859i −1.06748 + 1.84893i
\(534\) 5.07890 + 1.07955i 0.219785 + 0.0467168i
\(535\) 4.16317 12.8129i 0.179990 0.553951i
\(536\) 0.190028 0.0403917i 0.00820796 0.00174466i
\(537\) 0.371284 3.53253i 0.0160221 0.152440i
\(538\) 2.83383 3.14729i 0.122175 0.135689i
\(539\) 12.0331 5.35747i 0.518302 0.230763i
\(540\) −12.2233 5.44216i −0.526007 0.234193i
\(541\) 7.46070 + 8.28595i 0.320760 + 0.356241i 0.881863 0.471506i \(-0.156289\pi\)
−0.561103 + 0.827746i \(0.689623\pi\)
\(542\) 15.6475 11.3686i 0.672119 0.488323i
\(543\) 8.57416 6.22949i 0.367953 0.267333i
\(544\) 4.03286 + 4.47894i 0.172907 + 0.192033i
\(545\) 16.1587 + 7.19433i 0.692163 + 0.308171i
\(546\) −5.71734 + 2.54552i −0.244680 + 0.108938i
\(547\) −1.56292 + 1.73580i −0.0668256 + 0.0742174i −0.775631 0.631187i \(-0.782568\pi\)
0.708805 + 0.705405i \(0.249235\pi\)
\(548\) 0.249773 2.37643i 0.0106698 0.101516i
\(549\) 3.94279 0.838066i 0.168274 0.0357678i
\(550\) −0.630687 + 1.94105i −0.0268926 + 0.0827668i
\(551\) 40.8945 + 8.69240i 1.74217 + 0.370309i
\(552\) −4.13154 + 7.15604i −0.175850 + 0.304581i
\(553\) −5.15388 8.92678i −0.219165 0.379605i
\(554\) −2.70120 8.31343i −0.114763 0.353204i
\(555\) 1.63989 + 15.6025i 0.0696093 + 0.662288i
\(556\) 17.6460 + 12.8206i 0.748357 + 0.543713i
\(557\) 28.7268 1.21719 0.608596 0.793480i \(-0.291733\pi\)
0.608596 + 0.793480i \(0.291733\pi\)
\(558\) −0.0306875 2.12648i −0.00129910 0.0900209i
\(559\) −18.9661 −0.802181
\(560\) 1.63611 + 1.18870i 0.0691382 + 0.0502318i
\(561\) 2.12586 + 20.2262i 0.0897538 + 0.853950i
\(562\) 7.61816 + 23.4463i 0.321353 + 0.989022i
\(563\) 15.5510 + 26.9352i 0.655398 + 1.13518i 0.981794 + 0.189949i \(0.0608324\pi\)
−0.326396 + 0.945233i \(0.605834\pi\)
\(564\) −3.74346 + 6.48386i −0.157628 + 0.273020i
\(565\) 40.6715 + 8.64499i 1.71106 + 0.363698i
\(566\) −6.82585 + 21.0078i −0.286912 + 0.883024i
\(567\) −6.23607 + 1.32552i −0.261890 + 0.0556665i
\(568\) 0.547483 5.20896i 0.0229719 0.218563i
\(569\) −2.17837 + 2.41932i −0.0913220 + 0.101423i −0.787074 0.616859i \(-0.788405\pi\)
0.695752 + 0.718283i \(0.255071\pi\)
\(570\) −22.7501 + 10.1290i −0.952898 + 0.424258i
\(571\) 29.6242 + 13.1895i 1.23973 + 0.551965i 0.918645 0.395084i \(-0.129284\pi\)
0.321089 + 0.947049i \(0.395951\pi\)
\(572\) −6.52595 7.24781i −0.272864 0.303046i
\(573\) −26.1070 + 18.9678i −1.09063 + 0.792392i
\(574\) 7.05248 5.12392i 0.294365 0.213868i
\(575\) 3.34415 + 3.71406i 0.139461 + 0.154887i
\(576\) −0.348943 0.155360i −0.0145393 0.00647332i
\(577\) 28.1629 12.5389i 1.17244 0.522003i 0.274268 0.961653i \(-0.411564\pi\)
0.898169 + 0.439650i \(0.144898\pi\)
\(578\) 12.9309 14.3612i 0.537853 0.597346i
\(579\) 2.01903 19.2098i 0.0839080 0.798331i
\(580\) −15.8855 + 3.37657i −0.659610 + 0.140204i
\(581\) 0.204239 0.628583i 0.00847326 0.0260780i
\(582\) 20.3956 + 4.33521i 0.845423 + 0.179700i
\(583\) 1.70461 2.95247i 0.0705978 0.122279i
\(584\) 0.736556 + 1.27575i 0.0304789 + 0.0527910i
\(585\) −1.34968 4.15389i −0.0558024 0.171742i
\(586\) −1.40021 13.3221i −0.0578419 0.550329i
\(587\) −19.5529 14.2060i −0.807036 0.586346i 0.105934 0.994373i \(-0.466217\pi\)
−0.912970 + 0.408027i \(0.866217\pi\)
\(588\) −10.2194 −0.421440
\(589\) −26.3804 23.0725i −1.08698 0.950686i
\(590\) −27.0277 −1.11271
\(591\) −16.7213 12.1487i −0.687821 0.499732i
\(592\) 0.414501 + 3.94371i 0.0170359 + 0.162085i
\(593\) 6.83706 + 21.0423i 0.280764 + 0.864104i 0.987636 + 0.156762i \(0.0501056\pi\)
−0.706872 + 0.707341i \(0.749894\pi\)
\(594\) −5.70607 9.88320i −0.234123 0.405513i
\(595\) 6.09433 10.5557i 0.249843 0.432741i
\(596\) 0.426851 + 0.0907300i 0.0174845 + 0.00371645i
\(597\) 8.84013 27.2071i 0.361802 1.11351i
\(598\) −23.3605 + 4.96542i −0.955281 + 0.203051i
\(599\) 2.74224 26.0907i 0.112045 1.06604i −0.783599 0.621267i \(-0.786618\pi\)
0.895644 0.444771i \(-0.146715\pi\)
\(600\) 1.05955 1.17674i 0.0432558 0.0480404i
\(601\) 4.79541 2.13505i 0.195609 0.0870907i −0.306595 0.951840i \(-0.599190\pi\)
0.502203 + 0.864750i \(0.332523\pi\)
\(602\) 3.06435 + 1.36434i 0.124894 + 0.0556063i
\(603\) 0.0496534 + 0.0551457i 0.00202204 + 0.00224570i
\(604\) 7.78700 5.65759i 0.316849 0.230204i
\(605\) 13.1561 9.55843i 0.534870 0.388605i
\(606\) 4.60230 + 5.11137i 0.186955 + 0.207635i
\(607\) −35.2905 15.7123i −1.43240 0.637744i −0.463700 0.885992i \(-0.653479\pi\)
−0.968696 + 0.248248i \(0.920145\pi\)
\(608\) −5.75036 + 2.56023i −0.233208 + 0.103831i
\(609\) −5.94768 + 6.60557i −0.241012 + 0.267671i
\(610\) −2.69718 + 25.6620i −0.109206 + 1.03902i
\(611\) −21.1662 + 4.49902i −0.856293 + 0.182011i
\(612\) −0.711392 + 2.18944i −0.0287563 + 0.0885029i
\(613\) −33.2212 7.06138i −1.34179 0.285206i −0.519596 0.854412i \(-0.673917\pi\)
−0.822195 + 0.569206i \(0.807251\pi\)
\(614\) 0.728876 1.26245i 0.0294150 0.0509483i
\(615\) −20.8492 36.1119i −0.840721 1.45617i
\(616\) 0.533023 + 1.64048i 0.0214761 + 0.0660966i
\(617\) −1.43314 13.6354i −0.0576959 0.548940i −0.984745 0.174001i \(-0.944330\pi\)
0.927050 0.374939i \(-0.122336\pi\)
\(618\) 6.12569 + 4.45058i 0.246412 + 0.179028i
\(619\) 23.6453 0.950385 0.475192 0.879882i \(-0.342379\pi\)
0.475192 + 0.879882i \(0.342379\pi\)
\(620\) 13.0069 + 4.01965i 0.522371 + 0.161433i
\(621\) −27.9455 −1.12141
\(622\) −13.5663 9.85648i −0.543958 0.395209i
\(623\) −0.277438 2.63964i −0.0111153 0.105755i
\(624\) 2.33826 + 7.19643i 0.0936054 + 0.288088i
\(625\) 14.4677 + 25.0588i 0.578709 + 1.00235i
\(626\) 0.767847 1.32995i 0.0306893 0.0531555i
\(627\) −20.7763 4.41613i −0.829724 0.176363i
\(628\) 4.49136 13.8230i 0.179225 0.551598i
\(629\) 23.3774 4.96903i 0.932119 0.198128i
\(630\) −0.0807446 + 0.768234i −0.00321694 + 0.0306072i
\(631\) 5.20071 5.77597i 0.207037 0.229938i −0.630679 0.776044i \(-0.717224\pi\)
0.837716 + 0.546106i \(0.183890\pi\)
\(632\) −11.3852 + 5.06902i −0.452880 + 0.201635i
\(633\) 35.3708 + 15.7481i 1.40586 + 0.625931i
\(634\) −4.59214 5.10008i −0.182377 0.202550i
\(635\) 1.93083 1.40283i 0.0766226 0.0556696i
\(636\) −2.13989 + 1.55472i −0.0848520 + 0.0616486i
\(637\) −19.7638 21.9499i −0.783070 0.869688i
\(638\) −12.6542 5.63403i −0.500986 0.223053i
\(639\) 1.82764 0.813719i 0.0723004 0.0321902i
\(640\) 1.63611 1.81708i 0.0646728 0.0718265i
\(641\) 2.07826 19.7733i 0.0820863 0.780999i −0.873606 0.486633i \(-0.838225\pi\)
0.955693 0.294366i \(-0.0951085\pi\)
\(642\) −8.72033 + 1.85356i −0.344164 + 0.0731543i
\(643\) 13.9998 43.0868i 0.552097 1.69918i −0.151394 0.988474i \(-0.548376\pi\)
0.703490 0.710705i \(-0.251624\pi\)
\(644\) 4.13154 + 0.878186i 0.162805 + 0.0346054i
\(645\) 8.02258 13.8955i 0.315889 0.547135i
\(646\) 18.9687 + 32.8547i 0.746313 + 1.29265i
\(647\) 3.60016 + 11.0802i 0.141537 + 0.435606i 0.996549 0.0830016i \(-0.0264507\pi\)
−0.855013 + 0.518607i \(0.826451\pi\)
\(648\) 0.805727 + 7.66598i 0.0316519 + 0.301148i
\(649\) −18.6498 13.5499i −0.732070 0.531880i
\(650\) 4.57661 0.179510
\(651\) 7.05248 2.40454i 0.276408 0.0942413i
\(652\) 11.5394 0.451916
\(653\) 8.18018 + 5.94325i 0.320115 + 0.232577i 0.736225 0.676737i \(-0.236607\pi\)
−0.416109 + 0.909315i \(0.636607\pi\)
\(654\) −1.22348 11.6407i −0.0478420 0.455186i
\(655\) −4.78676 14.7321i −0.187034 0.575632i
\(656\) −5.26988 9.12770i −0.205754 0.356377i
\(657\) −0.281339 + 0.487294i −0.0109761 + 0.0190112i
\(658\) 3.74346 + 0.795697i 0.145935 + 0.0310195i
\(659\) −9.96984 + 30.6840i −0.388370 + 1.19528i 0.545636 + 0.838022i \(0.316288\pi\)
−0.934006 + 0.357257i \(0.883712\pi\)
\(660\) 8.07055 1.71545i 0.314146 0.0667737i
\(661\) 2.61378 24.8685i 0.101664 0.967271i −0.818173 0.574972i \(-0.805013\pi\)
0.919838 0.392299i \(-0.128320\pi\)
\(662\) 6.01377 6.67897i 0.233732 0.259586i
\(663\) 41.6623 18.5492i 1.61803 0.720393i
\(664\) −0.730017 0.325025i −0.0283302 0.0126134i
\(665\) 8.51786 + 9.46004i 0.330308 + 0.366845i
\(666\) −1.22539 + 0.890295i −0.0474827 + 0.0344982i
\(667\) −27.4415 + 19.9374i −1.06254 + 0.771980i
\(668\) 10.5018 + 11.6634i 0.406326 + 0.451271i
\(669\) 24.0054 + 10.6879i 0.928103 + 0.413218i
\(670\) −0.433955 + 0.193209i −0.0167651 + 0.00746432i
\(671\) −14.7264 + 16.3553i −0.568505 + 0.631389i
\(672\) 0.139886 1.33093i 0.00539623 0.0513417i
\(673\) 23.0462 4.89862i 0.888365 0.188828i 0.258944 0.965892i \(-0.416626\pi\)
0.629421 + 0.777065i \(0.283292\pi\)
\(674\) 2.94249 9.05605i 0.113340 0.348826i
\(675\) 5.23820 + 1.11341i 0.201619 + 0.0428553i
\(676\) −4.43493 + 7.68153i −0.170574 + 0.295443i
\(677\) 16.1449 + 27.9638i 0.620499 + 1.07474i 0.989393 + 0.145264i \(0.0464032\pi\)
−0.368894 + 0.929471i \(0.620263\pi\)
\(678\) −8.50266 26.1685i −0.326543 1.00499i
\(679\) −1.11412 10.6001i −0.0427560 0.406796i
\(680\) −11.9223 8.66207i −0.457200 0.332175i
\(681\) 2.87047 0.109996
\(682\) 6.95995 + 9.29450i 0.266510 + 0.355905i
\(683\) 25.3278 0.969140 0.484570 0.874753i \(-0.338976\pi\)
0.484570 + 0.874753i \(0.338976\pi\)
\(684\) −1.94512 1.41322i −0.0743737 0.0540357i
\(685\) 0.610727 + 5.81068i 0.0233347 + 0.222014i
\(686\) 3.40335 + 10.4744i 0.129941 + 0.399916i
\(687\) 3.41200 + 5.90976i 0.130176 + 0.225471i
\(688\) 2.02780 3.51225i 0.0773092 0.133903i
\(689\) −7.47778 1.58945i −0.284881 0.0605533i
\(690\) 6.24346 19.2154i 0.237684 0.731518i
\(691\) −8.52776 + 1.81263i −0.324411 + 0.0689557i −0.367239 0.930127i \(-0.619697\pi\)
0.0428274 + 0.999082i \(0.486363\pi\)
\(692\) 2.08582 19.8453i 0.0792911 0.754404i
\(693\) −0.440858 + 0.489623i −0.0167468 + 0.0185992i
\(694\) −18.9822 + 8.45141i −0.720554 + 0.320811i
\(695\) −48.7214 21.6922i −1.84811 0.822831i
\(696\) 7.19109 + 7.98651i 0.272577 + 0.302728i
\(697\) −51.3914 + 37.3380i −1.94659 + 1.41428i
\(698\) 24.4649 17.7748i 0.926010 0.672786i
\(699\) −19.4895 21.6453i −0.737161 0.818701i
\(700\) −0.739443 0.329221i −0.0279483 0.0124434i
\(701\) −6.82346 + 3.03800i −0.257719 + 0.114744i −0.531529 0.847040i \(-0.678382\pi\)
0.273811 + 0.961784i \(0.411716\pi\)
\(702\) −17.1234 + 19.0175i −0.646282 + 0.717769i
\(703\) −2.60910 + 24.8239i −0.0984040 + 0.936251i
\(704\) 2.03993 0.433600i 0.0768826 0.0163419i
\(705\) 5.65701 17.4105i 0.213055 0.655716i
\(706\) 9.00519 + 1.91411i 0.338915 + 0.0720386i
\(707\) 1.75792 3.04481i 0.0661134 0.114512i
\(708\) 8.94262 + 15.4891i 0.336084 + 0.582115i
\(709\) 15.9096 + 48.9647i 0.597497 + 1.83891i 0.541882 + 0.840455i \(0.317712\pi\)
0.0556156 + 0.998452i \(0.482288\pi\)
\(710\) 1.33866 + 12.7365i 0.0502392 + 0.477994i
\(711\) −3.85118 2.79804i −0.144430 0.104935i
\(712\) −3.20906 −0.120264
\(713\) 28.2322 3.37988i 1.05730 0.126577i
\(714\) −8.06572 −0.301852
\(715\) 19.2926 + 14.0169i 0.721504 + 0.524203i
\(716\) 0.229466 + 2.18322i 0.00857555 + 0.0815909i
\(717\) 1.60952 + 4.95360i 0.0601087 + 0.184996i
\(718\) −8.07998 13.9949i −0.301542 0.522286i
\(719\) 0.311539 0.539601i 0.0116184 0.0201237i −0.860158 0.510028i \(-0.829635\pi\)
0.871776 + 0.489904i \(0.162968\pi\)
\(720\) 0.913545 + 0.194180i 0.0340458 + 0.00723666i
\(721\) 1.19604 3.68103i 0.0445428 0.137089i
\(722\) −20.1708 + 4.28744i −0.750680 + 0.159562i
\(723\) −2.51404 + 23.9195i −0.0934982 + 0.889575i
\(724\) −4.38286 + 4.86766i −0.162888 + 0.180905i
\(725\) 5.93810 2.64381i 0.220535 0.0981886i
\(726\) −9.83070 4.37691i −0.364852 0.162442i
\(727\) −10.2432 11.3762i −0.379898 0.421919i 0.522624 0.852563i \(-0.324953\pi\)
−0.902522 + 0.430644i \(0.858286\pi\)
\(728\) 3.12920 2.27350i 0.115976 0.0842615i
\(729\) −23.8713 + 17.3435i −0.884123 + 0.642353i
\(730\) −2.41017 2.67677i −0.0892044 0.0990715i
\(731\) −22.3299 9.94193i −0.825903 0.367715i
\(732\) 15.5988 6.94505i 0.576550 0.256696i
\(733\) 5.26711 5.84972i 0.194545 0.216064i −0.637978 0.770055i \(-0.720229\pi\)
0.832523 + 0.553990i \(0.186896\pi\)
\(734\) −0.185829 + 1.76804i −0.00685907 + 0.0652597i
\(735\) 24.4416 5.19522i 0.901542 0.191629i
\(736\) 1.57811 4.85692i 0.0581698 0.179028i
\(737\) −0.396303 0.0842368i −0.0145980 0.00310290i
\(738\) 2.01292 3.48647i 0.0740964 0.128339i
\(739\) 13.8728 + 24.0284i 0.510319 + 0.883899i 0.999929 + 0.0119571i \(0.00380615\pi\)
−0.489609 + 0.871942i \(0.662861\pi\)
\(740\) −2.99622 9.22142i −0.110143 0.338986i
\(741\) 4.97864 + 47.3686i 0.182895 + 1.74013i
\(742\) 1.09385 + 0.794726i 0.0401564 + 0.0291753i
\(743\) −13.1002 −0.480598 −0.240299 0.970699i \(-0.577246\pi\)
−0.240299 + 0.970699i \(0.577246\pi\)
\(744\) −2.00000 8.78402i −0.0733236 0.322038i
\(745\) −1.06702 −0.0390927
\(746\) 15.5077 + 11.2670i 0.567775 + 0.412513i
\(747\) −0.0319053 0.303558i −0.00116735 0.0111066i
\(748\) −3.88414 11.9541i −0.142018 0.437087i
\(749\) 2.27858 + 3.94661i 0.0832575 + 0.144206i
\(750\) 7.95485 13.7782i 0.290470 0.503109i
\(751\) 30.9745 + 6.58383i 1.13027 + 0.240247i 0.734836 0.678245i \(-0.237259\pi\)
0.395439 + 0.918492i \(0.370593\pi\)
\(752\) 1.42987 4.40070i 0.0521422 0.160477i
\(753\) 8.87861 1.88721i 0.323555 0.0687737i
\(754\) −3.24678 + 30.8911i −0.118241 + 1.12499i
\(755\) −15.7480 + 17.4899i −0.573127 + 0.636522i
\(756\) 4.13466 1.84087i 0.150376 0.0669518i
\(757\) −2.54984 1.13526i −0.0926755 0.0412618i 0.359875 0.933000i \(-0.382819\pi\)
−0.452551 + 0.891739i \(0.649486\pi\)
\(758\) 17.0887 + 18.9790i 0.620691 + 0.689347i
\(759\) 13.9415 10.1291i 0.506045 0.367663i
\(760\) 12.4516 9.04659i 0.451666 0.328154i
\(761\) −27.4310 30.4652i −0.994372 1.10436i −0.994539 0.104362i \(-0.966720\pi\)
0.000167484 1.00000i \(-0.499947\pi\)
\(762\) −1.44279 0.642371i −0.0522668 0.0232707i
\(763\) −5.46587 + 2.43356i −0.197878 + 0.0881008i
\(764\) 13.3451 14.8212i 0.482809 0.536214i
\(765\) 0.588386 5.59812i 0.0212731 0.202400i
\(766\) 2.77182 0.589168i 0.100150 0.0212875i
\(767\) −15.9740 + 49.1628i −0.576786 + 1.77517i
\(768\) −1.58268 0.336408i −0.0571099 0.0121391i
\(769\) −21.2508 + 36.8074i −0.766323 + 1.32731i 0.173221 + 0.984883i \(0.444582\pi\)
−0.939544 + 0.342427i \(0.888751\pi\)
\(770\) −2.10880 3.65254i −0.0759957 0.131628i
\(771\) −8.79124 27.0567i −0.316609 0.974422i
\(772\) 1.24783 + 11.8723i 0.0449103 + 0.427293i