Properties

Label 62.2.g.a.59.1
Level 62
Weight 2
Character 62.59
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 59.1
Root \(0.913545 + 0.406737i\)
Character \(\chi\) = 62.59
Dual form 62.2.g.a.41.1

$q$-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 \(\left(\mathbb{Z}/62\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{15}\right)\)

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 0.830544 + 0.556953i \(0.188030\pi\)
−0.928192 + 0.372102i \(0.878637\pi\)
\(4\) 0.309017 0.951057i 0.154508 0.475528i
\(5\) −1.22256 + 2.11754i −0.546747 + 0.946993i 0.451748 + 0.892145i \(0.350801\pi\)
−0.998495 + 0.0548473i \(0.982533\pi\)
\(6\) −0.809017 1.40126i −0.330280 0.572061i
\(7\) 0.809017 0.171962i 0.305780 0.0649955i −0.0524664 0.998623i \(-0.516708\pi\)
0.358246 + 0.933627i \(0.383375\pi\)
\(8\) 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 0.495085 0.868845i \(-0.335137\pi\)
−0.915835 + 0.401554i \(0.868470\pi\)
\(12\) 1.47815 + 0.658114i 0.426704 + 0.189981i
\(13\) 4.27222 1.90211i 1.18490 0.527551i 0.282842 0.959167i \(-0.408723\pi\)
0.902058 + 0.431615i \(0.142056\pi\)
\(14\) −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 −0.0181430 0.999835i \(-0.505775\pi\)
0.996255 0.0864676i \(-0.0275579\pi\)
\(18\) −0.348943 + 0.155360i −0.0822467 + 0.0366186i
\(19\) −5.75036 2.56023i −1.31922 0.587356i −0.378209 0.925720i \(-0.623460\pi\)
−0.941015 + 0.338364i \(0.890126\pi\)
\(20\) 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 0.969575 + 0.244793i \(0.0787200\pi\)
−0.640517 + 0.767944i \(0.721280\pi\)
\(24\) −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 −0.961621 0.274382i \(-0.911527\pi\)
−0.0362045 + 0.999344i \(0.511527\pi\)
\(30\) 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 0.981705 0.190406i \(-0.0609804\pi\)
−0.655749 + 0.754979i \(0.727647\pi\)
\(38\) 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 −0.650934 0.759135i \(-0.725622\pi\)
0.478876 0.877882i \(-0.341044\pi\)
\(42\) −0.895472 0.994522i −0.138174 0.153458i
\(43\) −3.70498 1.64956i −0.565004 0.251556i 0.104299 0.994546i \(-0.466740\pi\)
−0.669302 + 0.742990i \(0.733407\pi\)
\(44\) −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 0.280283 0.959917i \(-0.409572\pi\)
−0.826323 + 0.563196i \(0.809572\pi\)
\(48\) 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 0.0967770 0.995306i \(-0.469147\pi\)
−0.316417 + 0.948620i \(0.602480\pi\)
\(54\) −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 −0.615441 0.788183i \(-0.711022\pi\)
0.765865 0.643002i \(-0.222311\pi\)
\(60\) −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 −0.860031 0.510242i \(-0.829556\pi\)
0.871898 + 0.489688i \(0.162889\pi\)
\(68\) −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 0.501621 0.865088i \(-0.332737\pi\)
0.106390 + 0.994324i \(0.466071\pi\)
\(72\) 0.0399263 + 0.379874i 0.00470536 + 0.0447685i
\(73\) −0.985705 1.09474i −0.115368 0.128129i 0.682694 0.730704i \(-0.260808\pi\)
−0.798062 + 0.602575i \(0.794141\pi\)
\(74\) −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 0.0608097 + 0.998149i \(0.480632\pi\)
−0.999038 + 0.0438584i \(0.986035\pi\)
\(80\) 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 0.998149 0.0608116i \(-0.0193689\pi\)
−0.988981 + 0.148044i \(0.952702\pi\)
\(84\) 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 −0.989757 0.142759i \(-0.954403\pi\)
0.884642 + 0.466270i \(0.154403\pi\)
\(90\) 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 0.517116 + 0.855915i \(0.327006\pi\)
−0.921450 + 0.388497i \(0.872994\pi\)
\(98\) 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 0.994898 0.100890i \(-0.0321691\pi\)
−0.864191 + 0.503164i \(0.832169\pi\)
\(102\) −9.53881 2.02754i −0.944483 0.200756i
\(103\) 0.489153 + 4.65398i 0.0481977 + 0.458570i 0.991829 + 0.127572i \(0.0407185\pi\)
−0.943632 + 0.330998i \(0.892615\pi\)
\(104\) 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 −0.538095 0.842884i \(-0.680856\pi\)
0.894513 + 0.447042i \(0.147522\pi\)
\(108\) 4.42705 + 3.21644i 0.425993 + 0.309502i
\(109\) −5.85239 4.25201i −0.560557 0.407269i 0.271105 0.962550i \(-0.412611\pi\)
−0.831663 + 0.555281i \(0.812611\pi\)
\(110\) −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 −0.981235 0.192813i \(-0.938239\pi\)
−0.0891899 0.996015i \(-0.528428\pi\)
\(114\) 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 −0.989062 0.147500i \(-0.952877\pi\)
0.998116 + 0.0613611i \(0.0195441\pi\)
\(128\) 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 0.0709146 0.997482i \(-0.477408\pi\)
0.470496 + 0.882402i \(0.344075\pi\)
\(132\) −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 −0.497863 0.867256i \(-0.665882\pi\)
0.311362 + 0.950291i \(0.399215\pi\)
\(138\) 5.52908 6.14066i 0.470666 0.522728i
\(139\) 17.6460 + 12.8206i 1.49671 + 1.08743i 0.971667 + 0.236352i \(0.0759519\pi\)
0.525046 + 0.851074i \(0.324048\pi\)
\(140\) 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 0.874825 0.484440i \(-0.160977\pi\)
−0.856949 + 0.515400i \(0.827643\pi\)
\(150\) −0.791733 + 1.37132i −0.0646447 + 0.111968i
\(151\) −2.97437 + 9.15417i −0.242051 + 0.744956i 0.754057 + 0.656809i \(0.228094\pi\)
−0.996108 + 0.0881463i \(0.971906\pi\)
\(152\) 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 −0.948043 0.318142i \(-0.896941\pi\)
0.00960915 + 0.999954i \(0.496941\pi\)
\(158\) 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 0.988050 + 0.154136i \(0.0492594\pi\)
−0.708750 + 0.705460i \(0.750741\pi\)
\(164\) −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 0.877904 0.478836i \(-0.158941\pi\)
0.231588 + 0.972814i \(0.425608\pi\)
\(168\) −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 −0.958010 0.286735i \(-0.907430\pi\)
−0.427948 + 0.903804i \(0.640763\pi\)
\(174\) 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 −0.126963 0.991907i \(-0.540523\pi\)
0.287458 + 0.957793i \(0.407190\pi\)
\(180\) 0.466977 + 0.808828i 0.0348064 + 0.0602865i
\(181\) 3.27504 5.67253i 0.243432 0.421636i −0.718258 0.695777i \(-0.755060\pi\)
0.961690 + 0.274141i \(0.0883935\pi\)
\(182\) −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 0.238833 + 0.971061i \(0.423235\pi\)
−0.960380 + 0.278695i \(0.910098\pi\)
\(192\) −0.809017 1.40126i −0.0583858 0.101127i
\(193\) 11.6768 2.48199i 0.840516 0.178657i 0.232514 0.972593i \(-0.425305\pi\)
0.608002 + 0.793936i \(0.291971\pi\)
\(194\) −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 0.966234 0.257668i \(-0.0829540\pi\)
−0.357255 + 0.934007i \(0.616287\pi\)
\(198\) 0.727721 + 0.324002i 0.0517169 + 0.0230258i
\(199\) 16.1517 7.19121i 1.14497 0.509771i 0.255516 0.966805i \(-0.417755\pi\)
0.889449 + 0.457034i \(0.151088\pi\)
\(200\) 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 −0.902927 0.429793i \(-0.858586\pi\)
0.0792517 0.996855i \(-0.474747\pi\)
\(212\) −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 −0.998684 0.0512923i \(-0.983666\pi\)
0.454921 0.890532i \(-0.349667\pi\)
\(224\) 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 0.986643 0.162898i \(-0.0520843\pi\)
−0.998951 + 0.0457959i \(0.985418\pi\)
\(228\) −6.81497 7.56879i −0.451332 0.501255i
\(229\) −3.85285 1.71540i −0.254603 0.113357i 0.275467 0.961311i \(-0.411168\pi\)
−0.530070 + 0.847954i \(0.677834\pi\)
\(230\) 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 0.951767 0.306822i \(-0.0992655\pi\)
0.00230755 + 0.999997i \(0.499265\pi\)
\(234\) −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 0.104946 0.994478i \(-0.466533\pi\)
−0.308618 + 0.951186i \(0.599866\pi\)
\(240\) 1.22256 + 3.76266i 0.0789161 + 0.242879i
\(241\) −14.5397 + 3.09050i −0.936582 + 0.199077i −0.650827 0.759226i \(-0.725578\pi\)
−0.285755 + 0.958303i \(0.592244\pi\)
\(242\) 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 −0.960305 0.278953i \(-0.910013\pi\)
0.997317 0.0731990i \(-0.0233208\pi\)
\(252\) 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 0.710261 0.703939i \(-0.248577\pi\)
0.362538 + 0.931969i \(0.381910\pi\)
\(258\) 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 0.763425 0.645896i \(-0.223516\pi\)
−0.378372 + 0.925654i \(0.623516\pi\)
\(264\) 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 −0.999694 0.0247482i \(-0.992122\pi\)
0.972703 0.232055i \(-0.0745451\pi\)
\(270\) 13.0877 + 2.78187i 0.796490 + 0.169299i
\(271\) −5.97683 18.3948i −0.363066 1.11740i −0.951183 0.308627i \(-0.900130\pi\)
0.588117 0.808776i \(-0.299870\pi\)
\(272\) −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 −0.354703 0.934979i \(-0.615418\pi\)
0.779608 + 0.626267i \(0.215418\pi\)
\(278\) −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 −0.993243 0.116057i \(-0.962975\pi\)
−0.196552 + 0.980493i \(0.562975\pi\)
\(282\) −0.782596 + 7.44591i −0.0466029 + 0.443397i
\(283\) −6.82585 + 21.0078i −0.405755 + 1.24878i 0.514509 + 0.857485i \(0.327974\pi\)
−0.920264 + 0.391299i \(0.872026\pi\)
\(284\) 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 −0.422073 0.906562i \(-0.638697\pi\)
0.945714 + 0.324999i \(0.105364\pi\)
\(294\) 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 −0.989313 0.145809i \(-0.953421\pi\)
0.998009 + 0.0630667i \(0.0200881\pi\)
\(308\) −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 −0.989048 0.147593i \(-0.952847\pi\)
0.998121 + 0.0612664i \(0.0195139\pi\)
\(314\) 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 −0.0154977 0.999880i \(-0.504933\pi\)
0.392530 + 0.919739i \(0.371600\pi\)
\(318\) 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 −0.989526 0.144354i \(-0.953889\pi\)
0.937890 0.346934i \(-0.112777\pi\)
\(332\) 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 −0.838371 0.545101i \(-0.816491\pi\)
0.998658 + 0.0517863i \(0.0164915\pi\)
\(338\) −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 0.997686 + 0.0679930i \(0.0216596\pi\)
−0.439959 + 0.898018i \(0.645007\pi\)
\(348\) −10.5121 + 2.23441i −0.563506 + 0.119777i
\(349\) −9.34476 28.7602i −0.500214 1.53950i −0.808671 0.588261i \(-0.799813\pi\)
0.308458 0.951238i \(-0.400187\pi\)
\(350\) 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 0.170519 0.985354i \(-0.445456\pi\)
−0.618162 + 0.786051i \(0.712122\pi\)
\(354\) −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 0.0216779 0.999765i \(-0.493099\pi\)
0.757476 + 0.652864i \(0.226432\pi\)
\(360\) −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 −0.888293 0.459278i \(-0.848108\pi\)
0.841893 + 0.539645i \(0.181441\pi\)
\(368\) 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 −0.798523 0.601965i \(-0.794385\pi\)
−0.484646 + 0.874711i \(0.661051\pi\)
\(380\) −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 0.692750 0.721177i \(-0.256399\pi\)
−0.789639 + 0.613572i \(0.789732\pi\)
\(384\) 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 −0.397306 0.917686i \(-0.630055\pi\)
0.954189 + 0.299205i \(0.0967215\pi\)
\(390\) 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 0.990904 0.134574i \(-0.0429666\pi\)
−0.611996 + 0.790861i \(0.709633\pi\)
\(398\) −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 −0.833676 0.552253i \(-0.813768\pi\)
0.267604 + 0.963529i \(0.413768\pi\)
\(402\) −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 0.972602 + 0.232478i \(0.0746835\pi\)
−0.284969 + 0.958537i \(0.591983\pi\)
\(410\) −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 −0.0688289 0.997628i \(-0.521926\pi\)
−0.970070 + 0.242824i \(0.921926\pi\)
\(420\) −2.18954 + 2.43173i −0.106839 + 0.118656i
\(421\) 11.1903 4.98223i 0.545380 0.242819i −0.115504 0.993307i \(-0.536848\pi\)
0.660884 + 0.750488i \(0.270182\pi\)
\(422\) 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 0.270883 + 0.962612i \(0.412684\pi\)
−0.465102 + 0.885257i \(0.653982\pi\)
\(432\) 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 −0.700631 0.713524i \(-0.747098\pi\)
0.968245 + 0.250002i \(0.0804312\pi\)
\(440\) 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 0.636478 0.771295i \(-0.280391\pi\)
0.267737 + 0.963492i \(0.413724\pi\)
\(444\) 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 0.729098 0.684409i \(-0.239940\pi\)
−0.425608 + 0.904907i \(0.639940\pi\)
\(450\) 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 0.999181 + 0.0404525i \(0.0128800\pi\)
−0.784577 + 0.620031i \(0.787120\pi\)
\(458\) 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 −0.915633 0.402014i \(-0.868310\pi\)
0.977061 + 0.212959i \(0.0683102\pi\)
\(462\) −0.291733 + 2.77565i −0.0135726 + 0.129135i
\(463\) 27.9284 20.2912i 1.29794 0.943011i 0.298011 0.954563i \(-0.403677\pi\)
0.999933 + 0.0115511i \(0.00367690\pi\)
\(464\) 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 −0.0464214 0.998922i \(-0.514782\pi\)
0.935686 + 0.352833i \(0.114782\pi\)
\(468\) 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 −0.756368 0.654146i \(-0.773028\pi\)
0.729625 + 0.683848i \(0.239695\pi\)
\(480\) −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 −0.503225 0.864156i \(-0.667853\pi\)
−0.811202 + 0.584766i \(0.801187\pi\)
\(488\) 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 −0.864577 0.502500i \(-0.832414\pi\)
0.867466 + 0.497496i \(0.165747\pi\)
\(492\) 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 0.852843 + 0.522167i \(0.174876\pi\)
−0.942771 + 0.333441i \(0.891790\pi\)
\(500\) −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 −0.360588 0.932725i \(-0.617424\pi\)
0.0499601 + 0.998751i \(0.484091\pi\)
\(504\) 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 −0.981154 0.193227i \(-0.938105\pi\)
−0.512925 + 0.858434i \(0.671438\pi\)
\(510\) 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 0.874812 0.484462i \(-0.160985\pi\)
−0.856962 + 0.515379i \(0.827651\pi\)
\(522\) 1.26850 2.19711i 0.0555208 0.0961648i
\(523\) 8.33412 25.6498i 0.364426 1.12159i −0.585914 0.810373i \(-0.699265\pi\)
0.950340 0.311214i \(-0.100735\pi\)
\(524\) 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 −0.561103 0.827746i \(-0.689623\pi\)
0.881863 + 0.471506i \(0.156289\pi\)
\(542\) 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 0.708805 0.705405i \(-0.249235\pi\)
−0.775631 + 0.631187i \(0.782568\pi\)
\(548\) 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 −0.326396 0.945233i \(-0.605834\pi\)
0.981794 0.189949i \(-0.0608324\pi\)
\(564\) −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 0.695752 0.718283i \(-0.255071\pi\)
−0.787074 + 0.616859i \(0.788405\pi\)
\(570\) −22.7501 10.1290i −0.952898 0.424258i
\(571\) 29.6242 13.1895i 1.23973 0.551965i 0.321089 0.947049i \(-0.395951\pi\)
0.918645 + 0.395084i \(0.129284\pi\)
\(572\) −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 0.898169 0.439650i \(-0.144898\pi\)
0.274268 + 0.961653i \(0.411564\pi\)
\(578\) 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 −0.912970 0.408027i \(-0.866217\pi\)
0.105934 + 0.994373i \(0.466217\pi\)
\(588\) −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 −0.706872 0.707341i \(-0.749894\pi\)
0.987636 0.156762i \(-0.0501056\pi\)
\(594\) −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 0.895644 + 0.444771i \(0.146715\pi\)
−0.783599 + 0.621267i \(0.786618\pi\)
\(600\) 1.05955 + 1.17674i 0.0432558 + 0.0480404i
\(601\) 4.79541 + 2.13505i 0.195609 + 0.0870907i 0.502203 0.864750i \(-0.332523\pi\)
−0.306595 + 0.951840i \(0.599190\pi\)
\(602\) 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 −0.968696 0.248248i \(-0.920145\pi\)
−0.463700 + 0.885992i \(0.653479\pi\)
\(608\) −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 −0.822195 0.569206i \(-0.807251\pi\)
−0.519596 + 0.854412i \(0.673917\pi\)
\(614\) 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 0.927050 + 0.374939i \(0.122336\pi\)
−0.984745 + 0.174001i \(0.944330\pi\)
\(618\) 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 0.837716 0.546106i \(-0.183890\pi\)
−0.630679 + 0.776044i \(0.717224\pi\)
\(632\) −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 0.955693 + 0.294366i \(0.0951085\pi\)
−0.873606 + 0.486633i \(0.838225\pi\)
\(642\) −8.72033 1.85356i −0.344164 0.0731543i
\(643\) 13.9998 + 43.0868i 0.552097 + 1.69918i 0.703490 + 0.710705i \(0.251624\pi\)
−0.151394 + 0.988474i \(0.548376\pi\)
\(644\) 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 −0.855013 0.518607i \(-0.826451\pi\)
0.996549 + 0.0830016i \(0.0264507\pi\)
\(648\) 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 −0.416109 0.909315i \(-0.636607\pi\)
0.736225 + 0.676737i \(0.236607\pi\)
\(654\) −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 −0.934006 0.357257i \(-0.883712\pi\)
0.545636 0.838022i \(-0.316288\pi\)
\(660\) 8.07055 + 1.71545i 0.314146 + 0.0667737i
\(661\) 2.61378 + 24.8685i 0.101664 + 0.967271i 0.919838 + 0.392299i \(0.128320\pi\)
−0.818173 + 0.574972i \(0.805013\pi\)
\(662\) 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 0.629421 0.777065i \(-0.283292\pi\)
0.258944 + 0.965892i \(0.416626\pi\)
\(674\) 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 −0.368894 0.929471i \(-0.620263\pi\)
0.989393 0.145264i \(-0.0464032\pi\)
\(678\) −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 0.0428274 0.999082i \(-0.486363\pi\)
−0.367239 + 0.930127i \(0.619697\pi\)
\(692\) 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 0.273811 0.961784i \(-0.411716\pi\)
−0.531529 + 0.847040i \(0.678382\pi\)
\(702\) −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 0.0556156 0.998452i \(-0.482288\pi\)
0.541882 0.840455i \(-0.317712\pi\)
\(710\) 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 0.871776 0.489904i \(-0.162968\pi\)
−0.860158 + 0.510028i \(0.829635\pi\)
\(720\) 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 −0.902522 0.430644i \(-0.858286\pi\)
0.522624 + 0.852563i \(0.324953\pi\)
\(728\) 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 0.832523 0.553990i \(-0.186896\pi\)
−0.637978 + 0.770055i \(0.720229\pi\)
\(734\) −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 −0.489609 0.871942i \(-0.662861\pi\)
0.999929 0.0119571i \(-0.00380615\pi\)
\(740\) −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 0.395439 0.918492i \(-0.370593\pi\)
0.734836 + 0.678245i \(0.237259\pi\)
\(752\) 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 −0.452551 0.891739i \(-0.649486\pi\)
0.359875 + 0.933000i \(0.382819\pi\)
\(758\) 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 0.000167484 1.00000i \(0.499947\pi\)
−0.994539 + 0.104362i \(0.966720\pi\)
\(762\) −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 −0.939544 0.342427i \(-0.888751\pi\)
0.173221 0.984883i \(-0.444582\pi\)
\(770\) −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