Properties

Label 400.2.bd.a.187.55
Level $400$
Weight $2$
Character 400.187
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bd (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 187.55
Character \(\chi\) \(=\) 400.187
Dual form 400.2.bd.a.323.55

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37516 + 0.330066i) q^{2} +(0.784993 + 2.41596i) q^{3} +(1.78211 + 0.907785i) q^{4} +(0.998071 + 2.00096i) q^{5} +(0.282062 + 3.58143i) q^{6} +(-3.39821 - 3.39821i) q^{7} +(2.15106 + 1.83656i) q^{8} +(-2.79360 + 2.02967i) q^{9} +O(q^{10})\) \(q+(1.37516 + 0.330066i) q^{2} +(0.784993 + 2.41596i) q^{3} +(1.78211 + 0.907785i) q^{4} +(0.998071 + 2.00096i) q^{5} +(0.282062 + 3.58143i) q^{6} +(-3.39821 - 3.39821i) q^{7} +(2.15106 + 1.83656i) q^{8} +(-2.79360 + 2.02967i) q^{9} +(0.712055 + 3.08107i) q^{10} +(3.25510 - 0.515557i) q^{11} +(-0.794227 + 5.01812i) q^{12} +(-2.10969 - 2.90374i) q^{13} +(-3.55144 - 5.79471i) q^{14} +(-4.05077 + 3.98204i) q^{15} +(2.35185 + 3.23555i) q^{16} +(2.18846 - 1.11508i) q^{17} +(-4.51157 + 1.86904i) q^{18} +(-2.29828 - 4.51062i) q^{19} +(-0.0377690 + 4.47198i) q^{20} +(5.54238 - 10.8775i) q^{21} +(4.64644 + 0.365426i) q^{22} +(0.415386 - 0.0657906i) q^{23} +(-2.74850 + 6.63856i) q^{24} +(-3.00771 + 3.99421i) q^{25} +(-1.94273 - 4.68943i) q^{26} +(-0.931148 - 0.676519i) q^{27} +(-2.97115 - 9.14085i) q^{28} +(-1.34958 + 2.64870i) q^{29} +(-6.88478 + 4.13891i) q^{30} +(-3.43253 - 1.11530i) q^{31} +(2.16622 + 5.22566i) q^{32} +(3.80080 + 7.45948i) q^{33} +(3.37753 - 0.811069i) q^{34} +(3.40804 - 10.1914i) q^{35} +(-6.82102 + 1.08111i) q^{36} +(-2.48816 - 3.42467i) q^{37} +(-1.67169 - 6.96139i) q^{38} +(5.35922 - 7.37634i) q^{39} +(-1.52799 + 6.13720i) q^{40} +(4.66765 + 6.42447i) q^{41} +(11.2119 - 13.1290i) q^{42} -6.41683i q^{43} +(6.26897 + 2.03615i) q^{44} +(-6.84951 - 3.56414i) q^{45} +(0.592936 + 0.0466323i) q^{46} +(-5.76213 - 2.93595i) q^{47} +(-5.97078 + 8.22187i) q^{48} +16.0957i q^{49} +(-5.45442 + 4.49992i) q^{50} +(4.41191 + 4.41191i) q^{51} +(-1.12373 - 7.08993i) q^{52} +(3.76889 + 11.5994i) q^{53} +(-1.05718 - 1.23766i) q^{54} +(4.28043 + 5.99877i) q^{55} +(-1.06872 - 13.5508i) q^{56} +(9.09335 - 9.09335i) q^{57} +(-2.73013 + 3.19693i) q^{58} +(11.6097 + 1.83880i) q^{59} +(-10.8338 + 3.41922i) q^{60} +(4.05772 - 0.642680i) q^{61} +(-4.35214 - 2.66667i) q^{62} +(16.3905 + 2.59600i) q^{63} +(1.25408 + 7.90109i) q^{64} +(3.70465 - 7.11955i) q^{65} +(2.76457 + 11.5125i) q^{66} +(-12.1637 - 3.95223i) q^{67} +(4.91233 - 0.000539695i) q^{68} +(0.485023 + 0.951911i) q^{69} +(8.05041 - 12.8898i) q^{70} +(-0.161920 - 0.498339i) q^{71} +(-9.73681 - 0.764689i) q^{72} +(-0.658082 - 4.15497i) q^{73} +(-2.29125 - 5.53071i) q^{74} +(-12.0109 - 4.13108i) q^{75} +(-0.00111236 - 10.1248i) q^{76} +(-12.8135 - 9.30954i) q^{77} +(9.80445 - 8.37473i) q^{78} +(0.956004 + 2.94228i) q^{79} +(-4.12690 + 7.93528i) q^{80} +(-2.29769 + 7.07155i) q^{81} +(4.29825 + 10.3753i) q^{82} +(1.39314 - 4.28765i) q^{83} +(19.7516 - 14.3537i) q^{84} +(4.41547 + 3.26610i) q^{85} +(2.11798 - 8.82415i) q^{86} +(-7.45857 - 1.18132i) q^{87} +(7.94875 + 4.86920i) q^{88} +(-8.14253 - 5.91589i) q^{89} +(-8.24275 - 7.16204i) q^{90} +(-2.69835 + 17.0367i) q^{91} +(0.799988 + 0.259835i) q^{92} -9.16836i q^{93} +(-6.95477 - 5.93927i) q^{94} +(6.73174 - 9.10069i) q^{95} +(-10.9245 + 9.33561i) q^{96} +(5.99447 - 11.7648i) q^{97} +(-5.31264 + 22.1341i) q^{98} +(-8.04704 + 8.04704i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} + O(q^{10}) \) \( 464q - 8q^{2} - 6q^{3} - 10q^{4} - 8q^{5} - 6q^{6} - 16q^{7} - 2q^{8} - 108q^{9} - 12q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 10q^{14} + 12q^{15} - 46q^{16} - 16q^{17} + 16q^{18} - 10q^{19} - 2q^{20} + 24q^{21} + 28q^{22} - 16q^{23} + 12q^{24} - 16q^{26} + 6q^{27} - 38q^{28} - 10q^{29} + 34q^{30} - 38q^{32} - 16q^{33} - 10q^{34} + 20q^{35} + 10q^{36} - 10q^{37} - 34q^{38} - 20q^{39} + 8q^{40} + 6q^{42} - 80q^{44} + 8q^{45} - 6q^{46} - 24q^{47} + 100q^{48} - 74q^{50} - 16q^{51} - 16q^{52} - 6q^{53} - 20q^{54} - 16q^{55} - 6q^{56} + 12q^{57} + 62q^{58} - 10q^{59} - 110q^{60} - 6q^{61} + 26q^{62} + 12q^{63} + 20q^{64} - 16q^{65} - 6q^{66} - 70q^{67} + 46q^{68} + 2q^{69} + 42q^{70} - 12q^{71} - 96q^{72} + 8q^{73} - 8q^{74} - 14q^{75} - 16q^{76} - 48q^{77} + 148q^{78} - 124q^{80} - 96q^{81} - 10q^{82} - 46q^{83} + 2q^{84} - 18q^{85} + 114q^{86} - 72q^{87} + 6q^{88} - 54q^{90} - 76q^{91} - 6q^{92} - 10q^{94} + 160q^{95} + 24q^{96} - 16q^{97} + 88q^{98} + 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{9}{20}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37516 + 0.330066i 0.972383 + 0.233392i
\(3\) 0.784993 + 2.41596i 0.453216 + 1.39486i 0.873217 + 0.487332i \(0.162030\pi\)
−0.420001 + 0.907524i \(0.637970\pi\)
\(4\) 1.78211 + 0.907785i 0.891056 + 0.453893i
\(5\) 0.998071 + 2.00096i 0.446351 + 0.894858i
\(6\) 0.282062 + 3.58143i 0.115151 + 1.46211i
\(7\) −3.39821 3.39821i −1.28440 1.28440i −0.938136 0.346268i \(-0.887449\pi\)
−0.346268 0.938136i \(-0.612551\pi\)
\(8\) 2.15106 + 1.83656i 0.760513 + 0.649323i
\(9\) −2.79360 + 2.02967i −0.931201 + 0.676557i
\(10\) 0.712055 + 3.08107i 0.225171 + 0.974319i
\(11\) 3.25510 0.515557i 0.981449 0.155446i 0.354964 0.934880i \(-0.384493\pi\)
0.626485 + 0.779434i \(0.284493\pi\)
\(12\) −0.794227 + 5.01812i −0.229274 + 1.44861i
\(13\) −2.10969 2.90374i −0.585122 0.805352i 0.409123 0.912479i \(-0.365835\pi\)
−0.994245 + 0.107128i \(0.965835\pi\)
\(14\) −3.55144 5.79471i −0.949162 1.54870i
\(15\) −4.05077 + 3.98204i −1.04590 + 1.02816i
\(16\) 2.35185 + 3.23555i 0.587963 + 0.808888i
\(17\) 2.18846 1.11508i 0.530780 0.270446i −0.167995 0.985788i \(-0.553729\pi\)
0.698774 + 0.715342i \(0.253729\pi\)
\(18\) −4.51157 + 1.86904i −1.06339 + 0.440538i
\(19\) −2.29828 4.51062i −0.527261 1.03481i −0.989017 0.147801i \(-0.952781\pi\)
0.461756 0.887007i \(-0.347219\pi\)
\(20\) −0.0377690 + 4.47198i −0.00844541 + 0.999964i
\(21\) 5.54238 10.8775i 1.20945 2.37367i
\(22\) 4.64644 + 0.365426i 0.990624 + 0.0779091i
\(23\) 0.415386 0.0657906i 0.0866139 0.0137183i −0.112977 0.993598i \(-0.536039\pi\)
0.199591 + 0.979879i \(0.436039\pi\)
\(24\) −2.74850 + 6.63856i −0.561035 + 1.35509i
\(25\) −3.00771 + 3.99421i −0.601541 + 0.798842i
\(26\) −1.94273 4.68943i −0.381000 0.919673i
\(27\) −0.931148 0.676519i −0.179200 0.130196i
\(28\) −2.97115 9.14085i −0.561495 1.72746i
\(29\) −1.34958 + 2.64870i −0.250611 + 0.491851i −0.981701 0.190430i \(-0.939012\pi\)
0.731090 + 0.682281i \(0.239012\pi\)
\(30\) −6.88478 + 4.13891i −1.25698 + 0.755659i
\(31\) −3.43253 1.11530i −0.616500 0.200313i −0.0159144 0.999873i \(-0.505066\pi\)
−0.600586 + 0.799560i \(0.705066\pi\)
\(32\) 2.16622 + 5.22566i 0.382937 + 0.923774i
\(33\) 3.80080 + 7.45948i 0.661634 + 1.29853i
\(34\) 3.37753 0.811069i 0.579241 0.139097i
\(35\) 3.40804 10.1914i 0.576064 1.72265i
\(36\) −6.82102 + 1.08111i −1.13684 + 0.180185i
\(37\) −2.48816 3.42467i −0.409052 0.563012i 0.553935 0.832560i \(-0.313126\pi\)
−0.962987 + 0.269548i \(0.913126\pi\)
\(38\) −1.67169 6.96139i −0.271184 1.12929i
\(39\) 5.35922 7.37634i 0.858163 1.18116i
\(40\) −1.52799 + 6.13720i −0.241596 + 0.970377i
\(41\) 4.66765 + 6.42447i 0.728965 + 1.00333i 0.999178 + 0.0405337i \(0.0129058\pi\)
−0.270213 + 0.962801i \(0.587094\pi\)
\(42\) 11.2119 13.1290i 1.73004 2.02584i
\(43\) 6.41683i 0.978558i −0.872127 0.489279i \(-0.837260\pi\)
0.872127 0.489279i \(-0.162740\pi\)
\(44\) 6.26897 + 2.03615i 0.945082 + 0.306961i
\(45\) −6.84951 3.56414i −1.02106 0.531311i
\(46\) 0.592936 + 0.0466323i 0.0874236 + 0.00687556i
\(47\) −5.76213 2.93595i −0.840492 0.428252i −0.0199246 0.999801i \(-0.506343\pi\)
−0.820568 + 0.571549i \(0.806343\pi\)
\(48\) −5.97078 + 8.22187i −0.861808 + 1.18672i
\(49\) 16.0957i 2.29939i
\(50\) −5.45442 + 4.49992i −0.771372 + 0.636385i
\(51\) 4.41191 + 4.41191i 0.617791 + 0.617791i
\(52\) −1.12373 7.08993i −0.155834 0.983196i
\(53\) 3.76889 + 11.5994i 0.517696 + 1.59331i 0.778322 + 0.627865i \(0.216071\pi\)
−0.260626 + 0.965440i \(0.583929\pi\)
\(54\) −1.05718 1.23766i −0.143864 0.168424i
\(55\) 4.28043 + 5.99877i 0.577173 + 0.808874i
\(56\) −1.06872 13.5508i −0.142813 1.81080i
\(57\) 9.09335 9.09335i 1.20444 1.20444i
\(58\) −2.73013 + 3.19693i −0.358484 + 0.419777i
\(59\) 11.6097 + 1.83880i 1.51146 + 0.239391i 0.856449 0.516231i \(-0.172666\pi\)
0.655007 + 0.755623i \(0.272666\pi\)
\(60\) −10.8338 + 3.41922i −1.39863 + 0.441420i
\(61\) 4.05772 0.642680i 0.519538 0.0822867i 0.108842 0.994059i \(-0.465286\pi\)
0.410696 + 0.911772i \(0.365286\pi\)
\(62\) −4.35214 2.66667i −0.552723 0.338667i
\(63\) 16.3905 + 2.59600i 2.06501 + 0.327065i
\(64\) 1.25408 + 7.90109i 0.156760 + 0.987637i
\(65\) 3.70465 7.11955i 0.459505 0.883071i
\(66\) 2.76457 + 11.5125i 0.340295 + 1.41709i
\(67\) −12.1637 3.95223i −1.48603 0.482842i −0.550125 0.835082i \(-0.685420\pi\)
−0.935910 + 0.352240i \(0.885420\pi\)
\(68\) 4.91233 0.000539695i 0.595708 6.54476e-5i
\(69\) 0.485023 + 0.951911i 0.0583899 + 0.114597i
\(70\) 8.05041 12.8898i 0.962208 1.54063i
\(71\) −0.161920 0.498339i −0.0192164 0.0591420i 0.940988 0.338439i \(-0.109899\pi\)
−0.960205 + 0.279297i \(0.909899\pi\)
\(72\) −9.73681 0.764689i −1.14749 0.0901195i
\(73\) −0.658082 4.15497i −0.0770227 0.486302i −0.995802 0.0915311i \(-0.970824\pi\)
0.918780 0.394771i \(-0.129176\pi\)
\(74\) −2.29125 5.53071i −0.266353 0.642932i
\(75\) −12.0109 4.13108i −1.38690 0.477016i
\(76\) −0.00111236 10.1248i −0.000127597 1.16139i
\(77\) −12.8135 9.30954i −1.46023 1.06092i
\(78\) 9.80445 8.37473i 1.11014 0.948251i
\(79\) 0.956004 + 2.94228i 0.107559 + 0.331032i 0.990322 0.138785i \(-0.0443198\pi\)
−0.882764 + 0.469817i \(0.844320\pi\)
\(80\) −4.12690 + 7.93528i −0.461402 + 0.887191i
\(81\) −2.29769 + 7.07155i −0.255298 + 0.785728i
\(82\) 4.29825 + 10.3753i 0.474663 + 1.14576i
\(83\) 1.39314 4.28765i 0.152917 0.470631i −0.845027 0.534724i \(-0.820415\pi\)
0.997944 + 0.0640931i \(0.0204155\pi\)
\(84\) 19.7516 14.3537i 2.15508 1.56612i
\(85\) 4.41547 + 3.26610i 0.478925 + 0.354259i
\(86\) 2.11798 8.82415i 0.228388 0.951533i
\(87\) −7.45857 1.18132i −0.799642 0.126651i
\(88\) 7.94875 + 4.86920i 0.847340 + 0.519058i
\(89\) −8.14253 5.91589i −0.863106 0.627083i 0.0656220 0.997845i \(-0.479097\pi\)
−0.928728 + 0.370761i \(0.879097\pi\)
\(90\) −8.24275 7.16204i −0.868862 0.754946i
\(91\) −2.69835 + 17.0367i −0.282864 + 1.78593i
\(92\) 0.799988 + 0.259835i 0.0834045 + 0.0270896i
\(93\) 9.16836i 0.950714i
\(94\) −6.95477 5.93927i −0.717330 0.612589i
\(95\) 6.73174 9.10069i 0.690662 0.933711i
\(96\) −10.9245 + 9.33561i −1.11498 + 0.952812i
\(97\) 5.99447 11.7648i 0.608646 1.19454i −0.356860 0.934158i \(-0.616153\pi\)
0.965507 0.260378i \(-0.0838472\pi\)
\(98\) −5.31264 + 22.1341i −0.536658 + 2.23588i
\(99\) −8.04704 + 8.04704i −0.808758 + 0.808758i
\(100\) −8.98596 + 4.38778i −0.898596 + 0.438778i
\(101\) −9.44285 9.44285i −0.939598 0.939598i 0.0586785 0.998277i \(-0.481311\pi\)
−0.998277 + 0.0586785i \(0.981311\pi\)
\(102\) 4.61085 + 7.52329i 0.456542 + 0.744917i
\(103\) −13.4690 6.86280i −1.32714 0.676212i −0.360599 0.932721i \(-0.617428\pi\)
−0.966542 + 0.256509i \(0.917428\pi\)
\(104\) 0.794836 10.1207i 0.0779401 0.992414i
\(105\) 27.2972 + 0.233544i 2.66393 + 0.0227915i
\(106\) 1.35423 + 17.1950i 0.131534 + 1.67013i
\(107\) −8.21282 −0.793963 −0.396982 0.917827i \(-0.629942\pi\)
−0.396982 + 0.917827i \(0.629942\pi\)
\(108\) −1.04528 2.05092i −0.100582 0.197349i
\(109\) 13.2713 + 2.10196i 1.27116 + 0.201331i 0.755320 0.655356i \(-0.227481\pi\)
0.515836 + 0.856687i \(0.327481\pi\)
\(110\) 3.90627 + 9.66207i 0.372449 + 0.921243i
\(111\) 6.32067 8.69965i 0.599931 0.825734i
\(112\) 3.00300 18.9872i 0.283757 1.79412i
\(113\) −0.607882 + 3.83802i −0.0571848 + 0.361050i 0.942458 + 0.334324i \(0.108508\pi\)
−0.999643 + 0.0267259i \(0.991492\pi\)
\(114\) 15.5062 9.50338i 1.45229 0.890073i
\(115\) 0.546229 + 0.765508i 0.0509361 + 0.0713840i
\(116\) −4.80955 + 3.49515i −0.446556 + 0.324517i
\(117\) 11.7873 + 3.82991i 1.08973 + 0.354076i
\(118\) 15.3583 + 6.36061i 1.41384 + 0.585542i
\(119\) −11.2261 3.64759i −1.02910 0.334374i
\(120\) −16.0267 + 1.12611i −1.46303 + 0.102799i
\(121\) −0.131754 + 0.0428095i −0.0119777 + 0.00389178i
\(122\) 5.79213 + 0.455530i 0.524395 + 0.0412418i
\(123\) −11.8572 + 16.3200i −1.06913 + 1.47153i
\(124\) −5.10470 5.10358i −0.458416 0.458315i
\(125\) −10.9942 2.03181i −0.983348 0.181730i
\(126\) 21.6827 + 8.97986i 1.93165 + 0.799990i
\(127\) 13.0618 2.06879i 1.15905 0.183576i 0.452850 0.891587i \(-0.350407\pi\)
0.706201 + 0.708011i \(0.250407\pi\)
\(128\) −0.883326 + 11.2792i −0.0780757 + 0.996947i
\(129\) 15.5028 5.03717i 1.36495 0.443498i
\(130\) 7.44440 8.56771i 0.652917 0.751438i
\(131\) −15.3085 + 7.80005i −1.33751 + 0.681493i −0.968752 0.248033i \(-0.920216\pi\)
−0.368755 + 0.929527i \(0.620216\pi\)
\(132\) 0.00183958 + 16.7439i 0.000160115 + 1.45737i
\(133\) −7.51802 + 23.1381i −0.651895 + 2.00633i
\(134\) −15.4225 9.44977i −1.33230 0.816336i
\(135\) 0.424337 2.53841i 0.0365211 0.218471i
\(136\) 6.75541 + 1.62065i 0.579272 + 0.138970i
\(137\) −2.26502 + 14.3008i −0.193514 + 1.22180i 0.679342 + 0.733822i \(0.262265\pi\)
−0.872856 + 0.487978i \(0.837735\pi\)
\(138\) 0.352789 + 1.46912i 0.0300314 + 0.125059i
\(139\) −0.0772844 0.487955i −0.00655518 0.0413878i 0.984194 0.177094i \(-0.0566697\pi\)
−0.990749 + 0.135706i \(0.956670\pi\)
\(140\) 15.3251 15.0684i 1.29521 1.27351i
\(141\) 2.56991 16.2258i 0.216425 1.36646i
\(142\) −0.0581808 0.738739i −0.00488243 0.0619936i
\(143\) −8.36429 8.36429i −0.699457 0.699457i
\(144\) −13.1372 4.26536i −1.09477 0.355447i
\(145\) −6.64693 0.0568684i −0.551997 0.00472266i
\(146\) 0.466447 5.93094i 0.0386035 0.490848i
\(147\) −38.8866 + 12.6350i −3.20731 + 1.04212i
\(148\) −1.32533 8.36186i −0.108941 0.687341i
\(149\) 7.01228 7.01228i 0.574468 0.574468i −0.358906 0.933374i \(-0.616850\pi\)
0.933374 + 0.358906i \(0.116850\pi\)
\(150\) −15.1533 9.64526i −1.23726 0.787532i
\(151\) −5.98041 −0.486678 −0.243339 0.969941i \(-0.578243\pi\)
−0.243339 + 0.969941i \(0.578243\pi\)
\(152\) 3.34032 13.9235i 0.270935 1.12935i
\(153\) −3.85045 + 7.55694i −0.311291 + 0.610942i
\(154\) −14.5478 17.0314i −1.17229 1.37243i
\(155\) −1.19424 7.98151i −0.0959238 0.641090i
\(156\) 16.2469 8.28044i 1.30079 0.662966i
\(157\) 4.78149 0.381605 0.190802 0.981628i \(-0.438891\pi\)
0.190802 + 0.981628i \(0.438891\pi\)
\(158\) 0.343509 + 4.36164i 0.0273281 + 0.346993i
\(159\) −25.0652 + 18.2110i −1.98780 + 1.44422i
\(160\) −8.29431 + 9.55010i −0.655722 + 0.755002i
\(161\) −1.63514 1.18800i −0.128867 0.0936274i
\(162\) −5.49376 + 8.96610i −0.431630 + 0.704444i
\(163\) 2.39350 1.73898i 0.187474 0.136208i −0.490090 0.871672i \(-0.663036\pi\)
0.677563 + 0.735464i \(0.263036\pi\)
\(164\) 2.48624 + 15.6864i 0.194143 + 1.22490i
\(165\) −11.1327 + 15.0503i −0.866678 + 1.17167i
\(166\) 3.33100 5.43637i 0.258536 0.421944i
\(167\) 0.271237 0.138202i 0.0209889 0.0106944i −0.443465 0.896292i \(-0.646251\pi\)
0.464453 + 0.885598i \(0.346251\pi\)
\(168\) 31.8992 13.2192i 2.46108 1.01989i
\(169\) 0.0363176 0.111774i 0.00279366 0.00859801i
\(170\) 4.99393 + 5.94880i 0.383017 + 0.456252i
\(171\) 15.5755 + 7.93614i 1.19109 + 0.606892i
\(172\) 5.82511 11.4355i 0.444160 0.871950i
\(173\) −0.369612 + 0.508727i −0.0281010 + 0.0386778i −0.822836 0.568278i \(-0.807610\pi\)
0.794735 + 0.606956i \(0.207610\pi\)
\(174\) −9.86679 4.08632i −0.747999 0.309783i
\(175\) 23.7940 3.35234i 1.79866 0.253413i
\(176\) 9.32362 + 9.31952i 0.702794 + 0.702486i
\(177\) 4.67109 + 29.4921i 0.351100 + 2.21676i
\(178\) −9.24462 10.8229i −0.692913 0.811207i
\(179\) 18.7488 + 9.55297i 1.40135 + 0.714022i 0.981121 0.193397i \(-0.0619504\pi\)
0.420227 + 0.907419i \(0.361950\pi\)
\(180\) −8.97113 12.5696i −0.668669 0.936881i
\(181\) 11.5689 5.89466i 0.859911 0.438146i 0.0323194 0.999478i \(-0.489711\pi\)
0.827591 + 0.561331i \(0.189711\pi\)
\(182\) −9.33388 + 22.5375i −0.691873 + 1.67059i
\(183\) 4.73797 + 9.29879i 0.350241 + 0.687387i
\(184\) 1.01435 + 0.621362i 0.0747786 + 0.0458074i
\(185\) 4.36926 8.39679i 0.321235 0.617344i
\(186\) 3.02616 12.6079i 0.221889 0.924458i
\(187\) 6.54877 4.75796i 0.478894 0.347937i
\(188\) −7.60355 10.4630i −0.554546 0.763090i
\(189\) 0.865285 + 5.46319i 0.0629402 + 0.397389i
\(190\) 12.2610 10.2930i 0.889509 0.746729i
\(191\) 1.99176 + 2.74143i 0.144119 + 0.198363i 0.874974 0.484170i \(-0.160878\pi\)
−0.730855 + 0.682533i \(0.760878\pi\)
\(192\) −18.1043 + 9.23211i −1.30656 + 0.666270i
\(193\) −11.7271 + 11.7271i −0.844138 + 0.844138i −0.989394 0.145256i \(-0.953600\pi\)
0.145256 + 0.989394i \(0.453600\pi\)
\(194\) 12.1265 14.1999i 0.870632 1.01949i
\(195\) 20.1087 + 3.36150i 1.44001 + 0.240722i
\(196\) −14.6114 + 28.6843i −1.04367 + 2.04888i
\(197\) −16.3162 + 5.30146i −1.16248 + 0.377713i −0.825832 0.563917i \(-0.809294\pi\)
−0.336650 + 0.941630i \(0.609294\pi\)
\(198\) −13.7220 + 8.40989i −0.975180 + 0.597665i
\(199\) 10.1227i 0.717580i −0.933418 0.358790i \(-0.883189\pi\)
0.933418 0.358790i \(-0.116811\pi\)
\(200\) −13.8054 + 3.06792i −0.976186 + 0.216935i
\(201\) 32.4895i 2.29164i
\(202\) −9.86863 16.1022i −0.694355 1.13294i
\(203\) 13.5870 4.41469i 0.953621 0.309850i
\(204\) 3.85745 + 11.8676i 0.270076 + 0.830897i
\(205\) −8.19648 + 15.7519i −0.572467 + 1.10016i
\(206\) −16.2568 13.8831i −1.13267 0.967281i
\(207\) −1.02689 + 1.02689i −0.0713737 + 0.0713737i
\(208\) 4.43351 13.6552i 0.307409 0.946815i
\(209\) −9.80660 13.4976i −0.678337 0.933650i
\(210\) 37.4609 + 9.33104i 2.58505 + 0.643903i
\(211\) 2.73076 + 17.2413i 0.187993 + 1.18694i 0.883503 + 0.468425i \(0.155178\pi\)
−0.695510 + 0.718516i \(0.744822\pi\)
\(212\) −3.81322 + 24.0928i −0.261893 + 1.65470i
\(213\) 1.07686 0.782386i 0.0737854 0.0536082i
\(214\) −11.2939 2.71077i −0.772036 0.185305i
\(215\) 12.8398 6.40446i 0.875670 0.436780i
\(216\) −0.760483 3.16534i −0.0517443 0.215374i
\(217\) 7.87445 + 15.4545i 0.534552 + 1.04912i
\(218\) 17.5563 + 7.27092i 1.18906 + 0.492449i
\(219\) 9.52165 4.85152i 0.643413 0.327836i
\(220\) 2.18262 + 14.5762i 0.147152 + 0.982727i
\(221\) −7.85486 4.00225i −0.528375 0.269221i
\(222\) 11.5634 9.87715i 0.776082 0.662911i
\(223\) 3.37120 + 21.2849i 0.225752 + 1.42534i 0.796708 + 0.604364i \(0.206573\pi\)
−0.570956 + 0.820981i \(0.693427\pi\)
\(224\) 10.3966 25.1192i 0.694653 1.67835i
\(225\) 0.295410 17.2629i 0.0196940 1.15086i
\(226\) −2.10273 + 5.07724i −0.139872 + 0.337733i
\(227\) 3.07810 4.23663i 0.204300 0.281195i −0.694556 0.719439i \(-0.744399\pi\)
0.898856 + 0.438243i \(0.144399\pi\)
\(228\) 24.4602 7.95057i 1.61992 0.526539i
\(229\) 0.106438 + 0.0542327i 0.00703360 + 0.00358380i 0.457504 0.889208i \(-0.348744\pi\)
−0.450470 + 0.892791i \(0.648744\pi\)
\(230\) 0.498483 + 1.23299i 0.0328690 + 0.0813006i
\(231\) 12.4330 38.2648i 0.818031 2.51764i
\(232\) −7.76752 + 3.21891i −0.509963 + 0.211332i
\(233\) 1.34250 0.684039i 0.0879502 0.0448129i −0.409462 0.912327i \(-0.634284\pi\)
0.497412 + 0.867514i \(0.334284\pi\)
\(234\) 14.9452 + 9.15731i 0.976999 + 0.598632i
\(235\) 0.123715 14.4601i 0.00807025 0.943272i
\(236\) 19.0206 + 13.8161i 1.23814 + 0.899350i
\(237\) −6.35797 + 4.61934i −0.412995 + 0.300058i
\(238\) −14.2337 8.72137i −0.922636 0.565322i
\(239\) 15.8108 + 11.4872i 1.02271 + 0.743045i 0.966837 0.255393i \(-0.0822048\pi\)
0.0558762 + 0.998438i \(0.482205\pi\)
\(240\) −22.4109 3.74129i −1.44662 0.241500i
\(241\) −4.53024 + 3.29141i −0.291818 + 0.212018i −0.724056 0.689741i \(-0.757724\pi\)
0.432237 + 0.901760i \(0.357724\pi\)
\(242\) −0.195313 + 0.0153822i −0.0125552 + 0.000988807i
\(243\) −22.3411 −1.43319
\(244\) 7.81473 + 2.53821i 0.500287 + 0.162492i
\(245\) −32.2069 + 16.0647i −2.05762 + 1.02633i
\(246\) −21.6922 + 18.5290i −1.38304 + 1.18136i
\(247\) −8.24901 + 16.1896i −0.524872 + 1.03012i
\(248\) −5.33525 8.70312i −0.338789 0.552648i
\(249\) 11.4524 0.725767
\(250\) −14.4481 6.42285i −0.913777 0.406217i
\(251\) −12.3904 + 12.3904i −0.782077 + 0.782077i −0.980181 0.198104i \(-0.936522\pi\)
0.198104 + 0.980181i \(0.436522\pi\)
\(252\) 26.8531 + 19.5054i 1.69159 + 1.22873i
\(253\) 1.31820 0.428310i 0.0828747 0.0269276i
\(254\) 18.6449 + 1.46636i 1.16989 + 0.0920074i
\(255\) −4.42467 + 13.2315i −0.277083 + 0.828587i
\(256\) −4.93758 + 15.2191i −0.308599 + 0.951192i
\(257\) −2.91344 2.91344i −0.181736 0.181736i 0.610376 0.792112i \(-0.291018\pi\)
−0.792112 + 0.610376i \(0.791018\pi\)
\(258\) 22.9814 1.80995i 1.43076 0.112682i
\(259\) −3.18243 + 20.0931i −0.197746 + 1.24852i
\(260\) 13.0651 9.32481i 0.810265 0.578300i
\(261\) −1.60580 10.1386i −0.0993965 0.627565i
\(262\) −23.6261 + 5.67349i −1.45962 + 0.350509i
\(263\) −2.44874 + 15.4608i −0.150996 + 0.953351i 0.789550 + 0.613686i \(0.210314\pi\)
−0.940546 + 0.339665i \(0.889686\pi\)
\(264\) −5.52408 + 23.0262i −0.339984 + 1.41716i
\(265\) −19.4484 + 19.1185i −1.19471 + 1.17444i
\(266\) −17.9755 + 29.3370i −1.10215 + 1.79877i
\(267\) 7.90074 24.3160i 0.483517 1.48811i
\(268\) −18.0893 18.0854i −1.10498 1.10474i
\(269\) 9.12405 4.64894i 0.556303 0.283451i −0.153150 0.988203i \(-0.548942\pi\)
0.709454 + 0.704752i \(0.248942\pi\)
\(270\) 1.42137 3.35065i 0.0865019 0.203914i
\(271\) 8.27965 2.69022i 0.502953 0.163419i −0.0465419 0.998916i \(-0.514820\pi\)
0.549495 + 0.835497i \(0.314820\pi\)
\(272\) 8.75482 + 4.45838i 0.530839 + 0.270329i
\(273\) −43.2782 + 6.85459i −2.61931 + 0.414858i
\(274\) −7.83497 + 18.9182i −0.473328 + 1.14289i
\(275\) −7.73114 + 14.5522i −0.466205 + 0.877530i
\(276\) 0.000234750 2.13671i 1.41303e−5 0.128615i
\(277\) 12.9324 17.8000i 0.777035 1.06950i −0.218568 0.975822i \(-0.570139\pi\)
0.995603 0.0936748i \(-0.0298614\pi\)
\(278\) 0.0547791 0.696523i 0.00328543 0.0417747i
\(279\) 11.8528 3.85121i 0.709609 0.230566i
\(280\) 26.0479 15.6631i 1.55666 0.936049i
\(281\) −8.02746 2.60828i −0.478878 0.155597i 0.0596242 0.998221i \(-0.481010\pi\)
−0.538503 + 0.842624i \(0.681010\pi\)
\(282\) 8.88961 21.4647i 0.529368 1.27821i
\(283\) −27.2747 8.86207i −1.62131 0.526795i −0.649059 0.760738i \(-0.724837\pi\)
−0.972250 + 0.233942i \(0.924837\pi\)
\(284\) 0.163825 1.03509i 0.00972122 0.0614210i
\(285\) 27.2713 + 9.11965i 1.61541 + 0.540201i
\(286\) −8.74144 14.2630i −0.516892 0.843387i
\(287\) 5.97005 37.6934i 0.352401 2.22497i
\(288\) −16.6579 10.2017i −0.981578 0.601141i
\(289\) −6.44638 + 8.87268i −0.379199 + 0.521923i
\(290\) −9.12180 2.27213i −0.535650 0.133424i
\(291\) 33.1290 + 5.24711i 1.94205 + 0.307591i
\(292\) 2.59904 8.00202i 0.152097 0.468283i
\(293\) −7.24374 −0.423184 −0.211592 0.977358i \(-0.567865\pi\)
−0.211592 + 0.977358i \(0.567865\pi\)
\(294\) −57.6455 + 4.53999i −3.36196 + 0.264777i
\(295\) 7.90796 + 25.0659i 0.460419 + 1.45939i
\(296\) 0.937429 11.9363i 0.0544870 0.693784i
\(297\) −3.37976 1.72208i −0.196114 0.0999249i
\(298\) 11.9575 7.32847i 0.692679 0.424527i
\(299\) −1.06737 1.06737i −0.0617278 0.0617278i
\(300\) −17.6546 18.2653i −1.01929 1.05455i
\(301\) −21.8058 + 21.8058i −1.25686 + 1.25686i
\(302\) −8.22400 1.97393i −0.473238 0.113587i
\(303\) 15.4010 30.2261i 0.884763 1.73645i
\(304\) 9.18914 18.0445i 0.527033 1.03492i
\(305\) 5.33587 + 7.47791i 0.305531 + 0.428184i
\(306\) −7.78926 + 9.12107i −0.445283 + 0.521417i
\(307\) 6.94812i 0.396550i −0.980146 0.198275i \(-0.936466\pi\)
0.980146 0.198275i \(-0.0635339\pi\)
\(308\) −14.3840 28.2226i −0.819605 1.60813i
\(309\) 6.00718 37.9278i 0.341737 2.15764i
\(310\) 0.992155 11.3700i 0.0563506 0.645773i
\(311\) 7.38765 + 5.36744i 0.418915 + 0.304360i 0.777201 0.629252i \(-0.216639\pi\)
−0.358286 + 0.933612i \(0.616639\pi\)
\(312\) 25.0751 6.02437i 1.41960 0.341063i
\(313\) 5.44526 + 0.862444i 0.307784 + 0.0487482i 0.308416 0.951252i \(-0.400201\pi\)
−0.000631891 1.00000i \(0.500201\pi\)
\(314\) 6.57530 + 1.57821i 0.371066 + 0.0890635i
\(315\) 11.1644 + 35.3878i 0.629042 + 1.99388i
\(316\) −0.967249 + 6.11131i −0.0544120 + 0.343788i
\(317\) −1.24205 + 3.82264i −0.0697605 + 0.214701i −0.979859 0.199692i \(-0.936006\pi\)
0.910098 + 0.414393i \(0.136006\pi\)
\(318\) −40.4795 + 16.7697i −2.26998 + 0.940401i
\(319\) −3.02746 + 9.31756i −0.169505 + 0.521683i
\(320\) −14.5581 + 10.3952i −0.813825 + 0.581111i
\(321\) −6.44701 19.8419i −0.359837 1.10746i
\(322\) −1.85646 2.17339i −0.103456 0.121118i
\(323\) −10.0594 7.30856i −0.559719 0.406659i
\(324\) −10.5142 + 10.5165i −0.584121 + 0.584250i
\(325\) 17.9435 + 0.307056i 0.995324 + 0.0170324i
\(326\) 3.86542 1.60136i 0.214086 0.0886911i
\(327\) 5.33959 + 33.7129i 0.295280 + 1.86433i
\(328\) −1.75856 + 22.3918i −0.0971004 + 1.23638i
\(329\) 9.60395 + 29.5579i 0.529483 + 1.62958i
\(330\) −20.2768 + 17.0221i −1.11620 + 0.937034i
\(331\) −3.05381 5.99344i −0.167853 0.329429i 0.791723 0.610880i \(-0.209184\pi\)
−0.959576 + 0.281451i \(0.909184\pi\)
\(332\) 6.37501 6.37641i 0.349874 0.349951i
\(333\) 13.9019 + 4.51700i 0.761819 + 0.247530i
\(334\) 0.418609 0.100523i 0.0229052 0.00550039i
\(335\) −4.23199 28.2838i −0.231218 1.54531i
\(336\) 48.2296 7.64969i 2.63114 0.417325i
\(337\) 21.2357 + 3.36341i 1.15678 + 0.183217i 0.705198 0.709011i \(-0.250858\pi\)
0.451587 + 0.892227i \(0.350858\pi\)
\(338\) 0.0868353 0.141720i 0.00472322 0.00770854i
\(339\) −9.74969 + 1.54420i −0.529530 + 0.0838694i
\(340\) 4.90394 + 9.82886i 0.265954 + 0.533045i
\(341\) −11.7482 1.86073i −0.636202 0.100764i
\(342\) 18.7994 + 16.0544i 1.01655 + 0.868122i
\(343\) 30.9091 30.9091i 1.66894 1.66894i
\(344\) 11.7849 13.8030i 0.635400 0.744206i
\(345\) −1.42065 + 1.92059i −0.0764853 + 0.103401i
\(346\) −0.676187 + 0.577583i −0.0363521 + 0.0310510i
\(347\) −5.92651 18.2399i −0.318152 0.979170i −0.974438 0.224658i \(-0.927874\pi\)
0.656286 0.754512i \(-0.272126\pi\)
\(348\) −12.2196 8.87602i −0.655041 0.475805i
\(349\) −18.4553 18.4553i −0.987890 0.987890i 0.0120373 0.999928i \(-0.496168\pi\)
−0.999928 + 0.0120373i \(0.996168\pi\)
\(350\) 33.8270 + 3.24360i 1.80813 + 0.173378i
\(351\) 4.13105i 0.220499i
\(352\) 9.74538 + 15.8932i 0.519431 + 0.847111i
\(353\) 6.94342 + 3.53785i 0.369561 + 0.188301i 0.628901 0.777485i \(-0.283505\pi\)
−0.259340 + 0.965786i \(0.583505\pi\)
\(354\) −3.31086 + 42.0980i −0.175970 + 2.23748i
\(355\) 0.835550 0.821374i 0.0443464 0.0435940i
\(356\) −9.14054 17.9345i −0.484448 0.950524i
\(357\) 29.9852i 1.58699i
\(358\) 22.6294 + 19.3252i 1.19600 + 1.02137i
\(359\) 10.5990 + 14.5883i 0.559395 + 0.769941i 0.991249 0.132002i \(-0.0421406\pi\)
−0.431854 + 0.901943i \(0.642141\pi\)
\(360\) −8.18792 20.2462i −0.431541 1.06707i
\(361\) −3.89571 + 5.36198i −0.205037 + 0.282210i
\(362\) 17.8547 4.28757i 0.938422 0.225350i
\(363\) −0.206852 0.284708i −0.0108569 0.0149433i
\(364\) −20.2744 + 27.9118i −1.06267 + 1.46297i
\(365\) 7.65712 5.46375i 0.400792 0.285986i
\(366\) 3.44624 + 14.3511i 0.180138 + 0.750146i
\(367\) 12.7613 + 25.0454i 0.666132 + 1.30736i 0.938538 + 0.345175i \(0.112181\pi\)
−0.272406 + 0.962182i \(0.587819\pi\)
\(368\) 1.18979 + 1.18927i 0.0620223 + 0.0619951i
\(369\) −26.0791 8.47362i −1.35763 0.441119i
\(370\) 8.77992 10.1048i 0.456446 0.525321i
\(371\) 26.6099 52.2248i 1.38152 2.71138i
\(372\) 8.32290 16.3390i 0.431522 0.847140i
\(373\) 18.3399 + 13.3247i 0.949605 + 0.689928i 0.950713 0.310071i \(-0.100353\pi\)
−0.00110861 + 0.999999i \(0.500353\pi\)
\(374\) 10.5760 4.38142i 0.546873 0.226558i
\(375\) −3.72158 28.1564i −0.192182 1.45399i
\(376\) −7.00260 16.8979i −0.361131 0.871442i
\(377\) 10.5383 1.66911i 0.542751 0.0859633i
\(378\) −0.613312 + 7.79835i −0.0315454 + 0.401104i
\(379\) 14.0510 27.5766i 0.721749 1.41651i −0.179741 0.983714i \(-0.557526\pi\)
0.901490 0.432799i \(-0.142474\pi\)
\(380\) 20.2582 10.1075i 1.03922 0.518503i
\(381\) 15.2516 + 29.9329i 0.781362 + 1.53351i
\(382\) 1.83414 + 4.42731i 0.0938425 + 0.226521i
\(383\) −2.93047 + 1.49315i −0.149740 + 0.0762963i −0.527255 0.849707i \(-0.676779\pi\)
0.377515 + 0.926003i \(0.376779\pi\)
\(384\) −27.9434 + 6.71999i −1.42598 + 0.342928i
\(385\) 5.83928 34.9309i 0.297597 1.78024i
\(386\) −19.9974 + 12.2559i −1.01784 + 0.623811i
\(387\) 13.0241 + 17.9261i 0.662050 + 0.911234i
\(388\) 21.3627 15.5245i 1.08453 0.788139i
\(389\) −12.8548 + 2.03600i −0.651765 + 0.103229i −0.473557 0.880763i \(-0.657030\pi\)
−0.178208 + 0.983993i \(0.557030\pi\)
\(390\) 26.5431 + 11.2598i 1.34406 + 0.570161i
\(391\) 0.835694 0.607167i 0.0422629 0.0307058i
\(392\) −29.5607 + 34.6227i −1.49304 + 1.74871i
\(393\) −30.8617 30.8617i −1.55676 1.55676i
\(394\) −24.1872 + 1.90491i −1.21853 + 0.0959679i
\(395\) −4.93323 + 4.84953i −0.248218 + 0.244006i
\(396\) −21.6457 + 7.03575i −1.08774 + 0.353560i
\(397\) 8.69900 + 26.7728i 0.436590 + 1.34369i 0.891448 + 0.453123i \(0.149690\pi\)
−0.454858 + 0.890564i \(0.650310\pi\)
\(398\) 3.34116 13.9203i 0.167477 0.697762i
\(399\) −61.8023 −3.09398
\(400\) −19.9971 0.337804i −0.999857 0.0168902i
\(401\) 20.7310 1.03526 0.517629 0.855605i \(-0.326815\pi\)
0.517629 + 0.855605i \(0.326815\pi\)
\(402\) 10.7237 44.6782i 0.534849 2.22835i
\(403\) 4.00304 + 12.3201i 0.199406 + 0.613707i
\(404\) −8.25614 25.4003i −0.410758 1.26371i
\(405\) −16.4432 + 2.46033i −0.817067 + 0.122255i
\(406\) 20.1414 1.58628i 0.999601 0.0787256i
\(407\) −9.86483 9.86483i −0.488982 0.488982i
\(408\) 1.38752 + 17.5930i 0.0686923 + 0.870984i
\(409\) 9.54566 6.93533i 0.472003 0.342930i −0.326219 0.945294i \(-0.605775\pi\)
0.798221 + 0.602364i \(0.205775\pi\)
\(410\) −16.4706 + 18.9559i −0.813426 + 0.936167i
\(411\) −36.3282 + 5.75382i −1.79194 + 0.283815i
\(412\) −17.7733 24.4572i −0.875629 1.20492i
\(413\) −33.2037 45.7009i −1.63385 2.24880i
\(414\) −1.75108 + 1.07319i −0.0860607 + 0.0527445i
\(415\) 9.96989 1.49176i 0.489403 0.0732274i
\(416\) 10.6039 17.3146i 0.519898 0.848920i
\(417\) 1.11821 0.569757i 0.0547591 0.0279011i
\(418\) −9.03050 21.7982i −0.441696 1.06618i
\(419\) −5.78893 11.3614i −0.282808 0.555042i 0.705281 0.708928i \(-0.250821\pi\)
−0.988089 + 0.153887i \(0.950821\pi\)
\(420\) 48.4347 + 25.1962i 2.36337 + 1.22945i
\(421\) 3.51460 6.89780i 0.171291 0.336178i −0.789362 0.613928i \(-0.789589\pi\)
0.960653 + 0.277750i \(0.0895886\pi\)
\(422\) −1.93555 + 24.6108i −0.0942213 + 1.19804i
\(423\) 22.0561 3.49334i 1.07240 0.169852i
\(424\) −13.1960 + 31.8728i −0.640855 + 1.54788i
\(425\) −2.12840 + 12.0950i −0.103243 + 0.586693i
\(426\) 1.73909 0.720468i 0.0842593 0.0349068i
\(427\) −15.9730 11.6050i −0.772985 0.561607i
\(428\) −14.6362 7.45548i −0.707466 0.360374i
\(429\) 13.6419 26.7737i 0.658636 1.29265i
\(430\) 19.7707 4.56914i 0.953428 0.220343i
\(431\) −24.4284 7.93727i −1.17668 0.382325i −0.345545 0.938402i \(-0.612306\pi\)
−0.831130 + 0.556077i \(0.812306\pi\)
\(432\) −0.00101161 4.60385i −4.86709e−5 0.221503i
\(433\) −5.20217 10.2098i −0.250000 0.490653i 0.731567 0.681769i \(-0.238789\pi\)
−0.981567 + 0.191116i \(0.938789\pi\)
\(434\) 5.72760 + 23.8514i 0.274934 + 1.14490i
\(435\) −5.08040 16.1034i −0.243587 0.772097i
\(436\) 21.7427 + 15.7934i 1.04129 + 0.756366i
\(437\) −1.25143 1.72244i −0.0598639 0.0823956i
\(438\) 14.6951 3.52883i 0.702158 0.168614i
\(439\) −3.28052 + 4.51525i −0.156571 + 0.215501i −0.880095 0.474798i \(-0.842521\pi\)
0.723524 + 0.690299i \(0.242521\pi\)
\(440\) −1.80967 + 20.7650i −0.0862725 + 0.989931i
\(441\) −32.6690 44.9650i −1.55567 2.14119i
\(442\) −9.48066 8.09635i −0.450949 0.385104i
\(443\) 18.4645i 0.877275i 0.898664 + 0.438638i \(0.144539\pi\)
−0.898664 + 0.438638i \(0.855461\pi\)
\(444\) 19.1616 9.76595i 0.909367 0.463471i
\(445\) 3.71066 22.1974i 0.175902 1.05226i
\(446\) −2.38950 + 30.3828i −0.113146 + 1.43867i
\(447\) 22.4460 + 11.4368i 1.06166 + 0.540942i
\(448\) 22.5880 31.1112i 1.06718 1.46987i
\(449\) 34.2477i 1.61625i −0.589012 0.808124i \(-0.700483\pi\)
0.589012 0.808124i \(-0.299517\pi\)
\(450\) 6.10413 23.6417i 0.287751 1.11448i
\(451\) 18.5059 + 18.5059i 0.871407 + 0.871407i
\(452\) −4.56741 + 6.28795i −0.214833 + 0.295761i
\(453\) −4.69458 14.4484i −0.220571 0.678846i
\(454\) 5.63123 4.81006i 0.264287 0.225747i
\(455\) −36.7829 + 11.6045i −1.72441 + 0.544029i
\(456\) 36.2608 2.85980i 1.69807 0.133922i
\(457\) 12.5959 12.5959i 0.589213 0.589213i −0.348205 0.937418i \(-0.613209\pi\)
0.937418 + 0.348205i \(0.113209\pi\)
\(458\) 0.128468 + 0.109710i 0.00600292 + 0.00512641i
\(459\) −2.79215 0.442233i −0.130327 0.0206417i
\(460\) 0.278525 + 1.86008i 0.0129863 + 0.0867267i
\(461\) −30.7918 + 4.87695i −1.43412 + 0.227142i −0.824639 0.565659i \(-0.808622\pi\)
−0.609480 + 0.792802i \(0.708622\pi\)
\(462\) 29.7272 48.5164i 1.38304 2.25719i
\(463\) 5.86171 + 0.928404i 0.272417 + 0.0431466i 0.291148 0.956678i \(-0.405963\pi\)
−0.0187314 + 0.999825i \(0.505963\pi\)
\(464\) −11.7440 + 1.86271i −0.545202 + 0.0864744i
\(465\) 18.3455 9.15067i 0.850754 0.424352i
\(466\) 2.07193 0.497546i 0.0959802 0.0230484i
\(467\) 35.0824 + 11.3989i 1.62342 + 0.527480i 0.972745 0.231878i \(-0.0744869\pi\)
0.650673 + 0.759358i \(0.274487\pi\)
\(468\) 17.5295 + 17.5256i 0.810301 + 0.810123i
\(469\) 27.9044 + 54.7654i 1.28850 + 2.52883i
\(470\) 4.94291 19.8441i 0.227999 0.915338i
\(471\) 3.75344 + 11.5519i 0.172949 + 0.532284i
\(472\) 21.5961 + 25.2773i 0.994040 + 1.16348i
\(473\) −3.30824 20.8874i −0.152113 0.960405i
\(474\) −10.2679 + 4.25376i −0.471620 + 0.195382i
\(475\) 24.9289 + 4.38683i 1.14382 + 0.201282i
\(476\) −16.6950 16.6913i −0.765214 0.765046i
\(477\) −34.0718 24.7546i −1.56004 1.13344i
\(478\) 17.9508 + 21.0153i 0.821048 + 0.961217i
\(479\) 8.25653 + 25.4110i 0.377250 + 1.16106i 0.941948 + 0.335759i \(0.108993\pi\)
−0.564697 + 0.825298i \(0.691007\pi\)
\(480\) −29.5837 12.5420i −1.35030 0.572459i
\(481\) −4.69507 + 14.4500i −0.214077 + 0.658861i
\(482\) −7.31617 + 3.03093i −0.333242 + 0.138055i
\(483\) 1.58658 4.88300i 0.0721921 0.222184i
\(484\) −0.273663 0.0433131i −0.0124392 0.00196878i
\(485\) 29.5239 + 0.252594i 1.34061 + 0.0114697i
\(486\) −30.7226 7.37405i −1.39360 0.334494i
\(487\) −39.2100 6.21025i −1.77677 0.281413i −0.820024 0.572329i \(-0.806040\pi\)
−0.956749 + 0.290916i \(0.906040\pi\)
\(488\) 9.90870 + 6.06981i 0.448546 + 0.274768i
\(489\) 6.08020 + 4.41752i 0.274956 + 0.199767i
\(490\) −49.5919 + 11.4610i −2.24034 + 0.517756i
\(491\) 2.25030 14.2079i 0.101555 0.641192i −0.883432 0.468560i \(-0.844773\pi\)
0.984986 0.172632i \(-0.0552270\pi\)
\(492\) −35.9460 + 18.3204i −1.62057 + 0.825945i
\(493\) 7.30146i 0.328841i
\(494\) −16.6873 + 19.5405i −0.750798 + 0.879169i
\(495\) −24.1334 8.07031i −1.08471 0.362734i
\(496\) −4.46420 13.7291i −0.200449 0.616456i
\(497\) −1.14322 + 2.24370i −0.0512806 + 0.100644i
\(498\) 15.7489 + 3.78005i 0.705724 + 0.169388i
\(499\) 18.1916 18.1916i 0.814367 0.814367i −0.170918 0.985285i \(-0.554673\pi\)
0.985285 + 0.170918i \(0.0546733\pi\)
\(500\) −17.7484 13.6013i −0.793733 0.608267i
\(501\) 0.546809 + 0.546809i 0.0244296 + 0.0244296i
\(502\) −21.1284 + 12.9491i −0.943008 + 0.577948i
\(503\) 5.33671 + 2.71919i 0.237952 + 0.121243i 0.568901 0.822406i \(-0.307369\pi\)
−0.330949 + 0.943649i \(0.607369\pi\)
\(504\) 30.4892 + 35.6863i 1.35810 + 1.58960i
\(505\) 9.47015 28.3194i 0.421416 1.26020i
\(506\) 1.95411 0.153900i 0.0868706 0.00684167i
\(507\) 0.298551 0.0132591
\(508\) 25.1557 + 8.17053i 1.11610 + 0.362508i
\(509\) 27.9895 + 4.43310i 1.24061 + 0.196494i 0.742041 0.670354i \(-0.233858\pi\)
0.498572 + 0.866848i \(0.333858\pi\)
\(510\) −10.4519 + 16.7349i −0.462817 + 0.741034i
\(511\) −11.8832 + 16.3558i −0.525680 + 0.723536i
\(512\) −11.8133 + 19.2989i −0.522077 + 0.852898i
\(513\) −0.911484 + 5.75488i −0.0402430 + 0.254084i
\(514\) −3.04481 4.96807i −0.134301 0.219132i
\(515\) 0.289184 33.8005i 0.0127429 1.48943i
\(516\) 32.2004 + 5.09642i 1.41755 + 0.224358i
\(517\) −20.2699 6.58610i −0.891471 0.289656i
\(518\) −11.0084 + 26.5807i −0.483680 + 1.16789i
\(519\) −1.51921 0.493620i −0.0666858 0.0216675i
\(520\) 21.0444 8.51072i 0.922858 0.373220i
\(521\) 14.5216 4.71836i 0.636204 0.206715i 0.0268825 0.999639i \(-0.491442\pi\)
0.609321 + 0.792923i \(0.291442\pi\)
\(522\) 1.13819 14.4722i 0.0498171 0.633431i
\(523\) 0.393014 0.540937i 0.0171853 0.0236535i −0.800338 0.599549i \(-0.795347\pi\)
0.817523 + 0.575896i \(0.195347\pi\)
\(524\) −34.3622 + 0.00377521i −1.50112 + 0.000164921i
\(525\) 26.7773 + 54.8538i 1.16866 + 2.39402i
\(526\) −8.47047 + 20.4527i −0.369330 + 0.891781i
\(527\) −8.75560 + 1.38675i −0.381400 + 0.0604078i
\(528\) −15.1966 + 29.8413i −0.661348 + 1.29867i
\(529\) −21.7061 + 7.05273i −0.943743 + 0.306641i
\(530\) −33.0550 + 19.8716i −1.43582 + 0.863168i
\(531\) −36.1651 + 18.4270i −1.56943 + 0.799665i
\(532\) −34.4024 + 34.4099i −1.49153 + 1.49186i
\(533\) 8.80769 27.1073i 0.381503 1.17415i
\(534\) 18.8906 30.8305i 0.817477 1.33417i
\(535\) −8.19698 16.4336i −0.354386 0.710484i
\(536\) −18.9063 30.8409i −0.816629 1.33212i
\(537\) −8.36195 + 52.7953i −0.360845 + 2.27828i
\(538\) 14.0815 3.38148i 0.607095 0.145786i
\(539\) 8.29825 + 52.3931i 0.357431 + 2.25673i
\(540\) 3.06054 4.13852i 0.131705 0.178094i
\(541\) 4.19132 26.4629i 0.180199 1.13773i −0.717317 0.696747i \(-0.754630\pi\)
0.897515 0.440983i \(-0.145370\pi\)
\(542\) 12.2738 0.966645i 0.527204 0.0415210i
\(543\) 23.3228 + 23.3228i 1.00088 + 1.00088i
\(544\) 10.5677 + 9.02065i 0.453086 + 0.386757i
\(545\) 9.03972 + 28.6532i 0.387219 + 1.22737i
\(546\) −61.7767 4.85852i −2.64380 0.207925i
\(547\) −12.4404 + 4.04212i −0.531912 + 0.172829i −0.562645 0.826699i \(-0.690216\pi\)
0.0307325 + 0.999528i \(0.490216\pi\)
\(548\) −17.0186 + 23.4295i −0.726998 + 1.00086i
\(549\) −10.0312 + 10.0312i −0.428122 + 0.428122i
\(550\) −15.4347 + 17.4597i −0.658138 + 0.744486i
\(551\) 15.0490 0.641108
\(552\) −0.704932 + 2.93839i −0.0300039 + 0.125066i
\(553\) 6.74978 13.2472i 0.287030 0.563328i
\(554\) 23.6593 20.2092i 1.00519 0.858606i
\(555\) 23.7162 + 3.96455i 1.00669 + 0.168286i
\(556\) 0.305229 0.939748i 0.0129446 0.0398542i
\(557\) 8.66837 0.367291 0.183645 0.982993i \(-0.441210\pi\)
0.183645 + 0.982993i \(0.441210\pi\)
\(558\) 17.5706 1.38381i 0.743824 0.0585813i
\(559\) −18.6328 + 13.5375i −0.788083 + 0.572576i
\(560\) 40.9899 12.9417i 1.73214 0.546886i
\(561\) 16.6358 + 12.0866i 0.702364 + 0.510297i
\(562\) −10.1781 6.23639i −0.429338 0.263066i
\(563\) 19.1871 13.9403i 0.808641 0.587512i −0.104795 0.994494i \(-0.533419\pi\)
0.913436 + 0.406982i \(0.133419\pi\)
\(564\) 19.3094 26.5832i 0.813072 1.11936i
\(565\) −8.28644 + 2.61427i −0.348613 + 0.109983i
\(566\) −34.5819 21.1892i −1.45358 0.890647i
\(567\) 31.8387 16.2226i 1.33710 0.681285i
\(568\) 0.566931 1.36933i 0.0237879 0.0574559i
\(569\) −1.63238 + 5.02394i −0.0684327 + 0.210614i −0.979425 0.201810i \(-0.935318\pi\)
0.910992 + 0.412424i \(0.135318\pi\)
\(570\) 34.4922 + 21.5423i 1.44472 + 0.902307i
\(571\) 13.1029 + 6.67624i 0.548338 + 0.279392i 0.706132 0.708080i \(-0.250438\pi\)
−0.157795 + 0.987472i \(0.550438\pi\)
\(572\) −7.31313 22.4991i −0.305777 0.940734i
\(573\) −5.05966 + 6.96403i −0.211370 + 0.290926i
\(574\) 20.6511 49.8638i 0.861959 2.08128i
\(575\) −0.986577 + 1.85702i −0.0411431 + 0.0774429i
\(576\) −19.5400 19.5271i −0.814168 0.813631i
\(577\) 1.96788 + 12.4247i 0.0819239 + 0.517247i 0.994189 + 0.107647i \(0.0343317\pi\)
−0.912265 + 0.409600i \(0.865668\pi\)
\(578\) −11.7934 + 10.0736i −0.490539 + 0.419007i
\(579\) −37.5381 19.1266i −1.56003 0.794874i
\(580\) −11.7940 6.13533i −0.489717 0.254756i
\(581\) −19.3046 + 9.83616i −0.800888 + 0.408073i
\(582\) 43.8256 + 18.1503i 1.81663 + 0.752356i
\(583\) 18.2483 + 35.8142i 0.755766 + 1.48327i
\(584\) 6.21528 10.1462i 0.257190 0.419852i
\(585\) 4.10101 + 27.4084i 0.169556 + 1.13320i
\(586\) −9.96128 2.39091i −0.411497 0.0987677i
\(587\) 3.60655 2.62031i 0.148858 0.108152i −0.510863 0.859662i \(-0.670674\pi\)
0.659722 + 0.751510i \(0.270674\pi\)
\(588\) −80.7702 12.7836i −3.33090 0.527188i
\(589\) 2.85822 + 18.0461i 0.117771 + 0.743576i
\(590\) 2.60129 + 37.0797i 0.107093 + 1.52655i
\(591\) −25.6162 35.2577i −1.05371 1.45031i
\(592\) 5.22888 16.1049i 0.214906 0.661907i
\(593\) 3.03587 3.03587i 0.124668 0.124668i −0.642020 0.766688i \(-0.721903\pi\)
0.766688 + 0.642020i \(0.221903\pi\)
\(594\) −4.07931 3.48367i −0.167376 0.142937i
\(595\) −3.90578 26.1036i −0.160121 1.07014i
\(596\) 18.8623 6.13103i 0.772630 0.251137i
\(597\) 24.4561 7.94626i 1.00092 0.325219i
\(598\) −1.11550 1.82011i −0.0456163 0.0744298i
\(599\) 45.5756i 1.86217i 0.364806 + 0.931083i \(0.381135\pi\)
−0.364806 + 0.931083i \(0.618865\pi\)
\(600\) −18.2491 30.9449i −0.745016 1.26332i
\(601\) 15.7140i 0.640987i 0.947251 + 0.320494i \(0.103849\pi\)
−0.947251 + 0.320494i \(0.896151\pi\)
\(602\) −37.1837 + 22.7890i −1.51549 + 0.928810i
\(603\) 42.0023 13.6474i 1.71047 0.555764i
\(604\) −10.6578 5.42892i −0.433658 0.220900i
\(605\) −0.217160 0.220908i −0.00882882 0.00898120i
\(606\) 31.1554 36.4823i 1.26560 1.48199i
\(607\) −22.6458 + 22.6458i −0.919165 + 0.919165i −0.996969 0.0778039i \(-0.975209\pi\)
0.0778039 + 0.996969i \(0.475209\pi\)
\(608\) 18.5924 21.7810i 0.754021 0.883336i
\(609\) 21.3314 + 29.3602i 0.864393 + 1.18973i
\(610\) 4.86946 + 12.0445i 0.197159 + 0.487667i
\(611\) 3.63106 + 22.9256i 0.146897 + 0.927472i
\(612\) −13.7220 + 9.97193i −0.554680 + 0.403091i
\(613\) −11.5090 + 8.36176i −0.464843 + 0.337728i −0.795428 0.606048i \(-0.792754\pi\)
0.330585 + 0.943776i \(0.392754\pi\)
\(614\) 2.29334 9.55475i 0.0925516 0.385598i
\(615\) −44.4901 7.43726i −1.79402 0.299899i
\(616\) −10.4650 43.5581i −0.421646 1.75501i
\(617\) −2.10404 4.12941i −0.0847055 0.166244i 0.844768 0.535133i \(-0.179738\pi\)
−0.929474 + 0.368889i \(0.879738\pi\)
\(618\) 20.7795 50.1740i 0.835874 2.01829i
\(619\) −7.03574 + 3.58489i −0.282790 + 0.144089i −0.589633 0.807671i \(-0.700727\pi\)
0.306843 + 0.951760i \(0.400727\pi\)
\(620\) 5.11722 15.3081i 0.205513 0.614787i
\(621\) −0.431294 0.219755i −0.0173072 0.00881848i
\(622\) 8.38756 + 9.81948i 0.336311 + 0.393725i
\(623\) 7.56658 + 47.7735i 0.303149 + 1.91400i
\(624\) 36.4706 0.00801371i 1.45999 0.000320805i
\(625\) −6.90740 24.0268i −0.276296 0.961073i
\(626\) 7.20342 + 2.98329i 0.287906 + 0.119236i
\(627\) 24.9116 34.2879i 0.994874 1.36933i
\(628\) 8.52116 + 4.34057i 0.340031 + 0.173208i
\(629\) −9.26402 4.72025i −0.369381 0.188209i
\(630\) 3.67248 + 52.3488i 0.146315 + 2.08562i
\(631\) −9.82661 + 30.2432i −0.391191 + 1.20396i 0.540697 + 0.841217i \(0.318160\pi\)
−0.931888 + 0.362745i \(0.881840\pi\)
\(632\) −3.34726 + 8.08476i −0.133147 + 0.321595i
\(633\) −39.5107 + 20.1317i −1.57041 + 0.800164i
\(634\) −2.96974 + 4.84677i −0.117943 + 0.192490i
\(635\) 17.1762 + 24.0715i 0.681618 + 0.955247i
\(636\) −61.2007 + 9.70014i −2.42677 + 0.384635i
\(637\) 46.7377 33.9569i 1.85181 1.34542i
\(638\) −7.23864 + 11.8139i −0.286581 + 0.467715i
\(639\) 1.46381 + 1.06352i 0.0579072 + 0.0420721i
\(640\) −23.4508 + 9.48992i −0.926976 + 0.375122i
\(641\) 7.67012 5.57267i 0.302952 0.220107i −0.425915 0.904763i \(-0.640048\pi\)
0.728866 + 0.684656i \(0.240048\pi\)
\(642\) −2.31653 29.4136i −0.0914260 1.16086i
\(643\) 16.0233 0.631899 0.315949 0.948776i \(-0.397677\pi\)
0.315949 + 0.948776i \(0.397677\pi\)
\(644\) −1.83556 3.60150i −0.0723310 0.141919i
\(645\) 25.5521 + 25.9931i 1.00611 + 1.02348i
\(646\) −11.4209 13.3707i −0.449350 0.526062i
\(647\) 8.26676 16.2244i 0.325000 0.637848i −0.669474 0.742836i \(-0.733480\pi\)
0.994474 + 0.104988i \(0.0334803\pi\)
\(648\) −17.9298 + 10.9915i −0.704349 + 0.431785i
\(649\) 38.7388 1.52063
\(650\) 24.5737 + 6.34478i 0.963860 + 0.248863i
\(651\) −31.1560 + 31.1560i −1.22110 + 1.22110i
\(652\) 5.84412 0.926276i 0.228873 0.0362758i
\(653\) 37.9316 12.3247i 1.48438 0.482303i 0.548959 0.835849i \(-0.315024\pi\)
0.935417 + 0.353546i \(0.115024\pi\)
\(654\) −3.78469 + 48.1229i −0.147993 + 1.88175i
\(655\) −30.8865 22.8467i −1.20684 0.892693i
\(656\) −9.80908 + 30.2118i −0.382980 + 1.17957i
\(657\) 10.2716 + 10.2716i 0.400735 + 0.400735i
\(658\) 3.45087 + 43.8167i 0.134529 + 1.70815i
\(659\) 0.185177 1.16916i 0.00721349 0.0455442i −0.983819 0.179165i \(-0.942660\pi\)
0.991033 + 0.133621i \(0.0426604\pi\)
\(660\) −33.5022 + 16.7153i −1.30407 + 0.650643i
\(661\) 1.41245 + 8.91784i 0.0549378 + 0.346864i 0.999811 + 0.0194279i \(0.00618448\pi\)
−0.944873 + 0.327436i \(0.893816\pi\)
\(662\) −2.22124 9.24988i −0.0863308 0.359507i
\(663\) 3.50327 22.1188i 0.136056 0.859022i
\(664\) 10.8713 6.66439i 0.421887 0.258628i
\(665\) −53.8020 + 8.05018i −2.08635 + 0.312173i
\(666\) 17.6264 + 10.8001i 0.683008 + 0.418496i
\(667\) −0.386337 + 1.18902i −0.0149590 + 0.0460391i
\(668\) 0.608832 6.68894e-5i 0.0235564 2.58803e-6i
\(669\) −48.7772 + 24.8532i −1.88584 + 0.960881i
\(670\) 3.51586 40.2914i 0.135830 1.55659i
\(671\) 12.8769 4.18397i 0.497109 0.161520i
\(672\) 68.8482 + 5.39945i 2.65588 + 0.208288i
\(673\) 2.51341 0.398085i 0.0968848 0.0153450i −0.107804 0.994172i \(-0.534382\pi\)
0.204689 + 0.978827i \(0.434382\pi\)
\(674\) 28.0923 + 11.6344i 1.08208 + 0.448141i
\(675\) 5.50278 1.68443i 0.211802 0.0648337i
\(676\) 0.166189 0.166226i 0.00639189 0.00639329i
\(677\) −10.4847 + 14.4310i −0.402961 + 0.554628i −0.961484 0.274861i \(-0.911368\pi\)
0.558523 + 0.829489i \(0.311368\pi\)
\(678\) −13.9170 1.09453i −0.534481 0.0420350i
\(679\) −60.3498 + 19.6088i −2.31601 + 0.752518i
\(680\) 3.49951 + 15.1349i 0.134200 + 0.580395i
\(681\) 12.6518 + 4.11083i 0.484819 + 0.157527i
\(682\) −15.5415 6.43649i −0.595114 0.246466i
\(683\) 44.9703 + 14.6117i 1.72074 + 0.559103i 0.992062 0.125753i \(-0.0401346\pi\)
0.728679 + 0.684855i \(0.240135\pi\)
\(684\) 20.5531 + 28.2823i 0.785866 + 1.08140i
\(685\) −30.8760 + 9.74099i −1.17971 + 0.372184i
\(686\) 52.7069 32.3028i 2.01236 1.23333i
\(687\) −0.0474712 + 0.299721i −0.00181114 + 0.0114351i
\(688\) 20.7620 15.0914i 0.791544 0.575356i
\(689\) 25.7305 35.4151i 0.980256 1.34921i
\(690\) −2.58754 + 2.17220i −0.0985059 + 0.0826942i
\(691\) −4.94174 0.782694i −0.187993 0.0297751i 0.0617282 0.998093i \(-0.480339\pi\)
−0.249721 + 0.968318i \(0.580339\pi\)
\(692\) −1.12050 + 0.571080i −0.0425952 + 0.0217092i
\(693\) 54.6911 2.07754
\(694\) −2.12950 27.0389i −0.0808347 1.02638i
\(695\) 0.899244 0.641657i 0.0341103 0.0243394i
\(696\) −13.8742 16.2392i −0.525901 0.615546i
\(697\) 17.3788 + 8.85492i 0.658267 + 0.335404i
\(698\) −19.2875 31.4704i −0.730042 1.19117i
\(699\) 2.70647 + 2.70647i 0.102368 + 0.102368i
\(700\) 45.4468 + 15.6256i 1.71773 + 0.590592i
\(701\) −25.0770 + 25.0770i −0.947147 + 0.947147i −0.998672 0.0515251i \(-0.983592\pi\)
0.0515251 + 0.998672i \(0.483592\pi\)
\(702\) −1.36352 + 5.68085i −0.0514628 + 0.214410i
\(703\) −9.72888 + 19.0940i −0.366932 + 0.720144i
\(704\) 8.15562 + 25.0723i 0.307376 + 0.944947i
\(705\) 35.0321 11.0522i 1.31939 0.416249i
\(706\) 8.38057 + 7.15688i 0.315407 + 0.269353i
\(707\) 64.1776i 2.41365i
\(708\) −18.4481 + 56.7985i −0.693321 + 2.13462i
\(709\) 8.08060 51.0189i 0.303473 1.91605i −0.0884958 0.996077i \(-0.528206\pi\)
0.391969 0.919978i \(-0.371794\pi\)
\(710\) 1.42012 0.853732i 0.0532962 0.0320400i
\(711\) −8.64255 6.27918i −0.324121 0.235488i
\(712\) −6.65013 27.6797i −0.249224 1.03734i
\(713\) −1.49920 0.237450i −0.0561455 0.00889257i
\(714\) 9.89710 41.2344i 0.370390 1.54316i
\(715\) 8.38847 25.0848i 0.313711 0.938118i
\(716\) 24.7404 + 34.0443i 0.924590 + 1.27230i
\(717\) −15.3413 + 47.2156i −0.572930 + 1.76330i
\(718\) 9.76021 + 23.5596i 0.364248 + 0.879236i
\(719\) 7.14127 21.9786i 0.266324 0.819662i −0.725061 0.688685i \(-0.758188\pi\)
0.991385 0.130977i \(-0.0418116\pi\)
\(720\) −4.57708 30.5443i −0.170578 1.13832i
\(721\) 22.4493 + 69.0918i 0.836055 + 2.57311i
\(722\) −7.12702 + 6.08773i −0.265240 + 0.226562i
\(723\) −11.5081 8.36114i −0.427992 0.310954i
\(724\) 25.9682 0.00285300i 0.965100 0.000106031i
\(725\) −6.52032 13.3570i −0.242158 0.496067i
\(726\) −0.190482 0.459793i −0.00706945 0.0170645i
\(727\) −1.90018 11.9973i −0.0704739 0.444954i −0.997543 0.0700630i \(-0.977680\pi\)
0.927069 0.374891i \(-0.122320\pi\)
\(728\) −37.0932 + 31.6912i −1.37477 + 1.17455i
\(729\) −10.6446 32.7607i −0.394244 1.21336i
\(730\) 12.3331 4.98616i 0.456470 0.184546i
\(731\) −7.15526 14.0430i −0.264647 0.519399i
\(732\) 0.00229317 + 20.8726i 8.47579e−5 + 0.771472i
\(733\) 4.91398 + 1.59665i 0.181502 + 0.0589736i 0.398358 0.917230i \(-0.369580\pi\)
−0.216856 + 0.976204i \(0.569580\pi\)
\(734\) 9.28210 + 38.6534i 0.342608 + 1.42672i
\(735\) −64.0938 65.2000i −2.36413 2.40494i
\(736\) 1.24362 + 2.02815i 0.0458403 + 0.0747585i
\(737\) −41.6317 6.59381i −1.53352 0.242886i
\(738\) −33.0660 20.2604i −1.21718 0.745796i
\(739\) 41.3144 6.54356i 1.51978 0.240709i 0.659955 0.751305i \(-0.270575\pi\)
0.859821 + 0.510596i \(0.170575\pi\)
\(740\) 15.4090 10.9977i 0.566446 0.404282i
\(741\) −45.5888 7.22056i −1.67475 0.265254i
\(742\) 53.8304 63.0343i 1.97618 2.31406i
\(743\) 4.61292 4.61292i 0.169231 0.169231i −0.617410 0.786642i \(-0.711818\pi\)
0.786642 + 0.617410i \(0.211818\pi\)
\(744\) 16.8383 19.7216i 0.617320 0.723030i
\(745\) 21.0301 + 7.03255i 0.770482 + 0.257653i
\(746\) 20.8222 + 24.3770i 0.762356 + 0.892504i
\(747\) 4.81064 + 14.8056i 0.176012 + 0.541709i
\(748\) 15.9899 2.53435i 0.584647 0.0926648i
\(749\) 27.9089 + 27.9089i 1.01977 + 1.01977i
\(750\) 4.17572 39.9479i 0.152476 1.45869i
\(751\) 17.5638i 0.640912i −0.947263 0.320456i \(-0.896164\pi\)
0.947263 0.320456i \(-0.103836\pi\)
\(752\) −4.05225 25.5486i −0.147770 0.931660i
\(753\) −39.6612 20.2084i −1.44533 0.736435i
\(754\) 15.0428 + 1.18306i 0.547825 + 0.0430845i
\(755\) −5.96887 11.9666i −0.217229 0.435508i
\(756\) −3.41737 + 10.5215i −0.124289 + 0.382664i
\(757\) 23.2225i 0.844036i −0.906587 0.422018i \(-0.861322\pi\)
0.906587 0.422018i \(-0.138678\pi\)
\(758\) 28.4244 33.2844i 1.03242 1.20894i
\(759\) 2.06956 + 2.84851i 0.0751203 + 0.103394i
\(760\) 31.1943 7.21282i 1.13154 0.261637i
\(761\) −15.9782 + 21.9921i −0.579209 + 0.797212i −0.993608 0.112883i \(-0.963992\pi\)
0.414400 + 0.910095i \(0.363992\pi\)
\(762\) 11.0935 + 46.1965i 0.401874 + 1.67352i
\(763\) −37.9556 52.2415i −1.37409 1.89127i
\(764\) 1.06092 + 6.69363i 0.0383827 + 0.242167i
\(765\) −18.9642 0.162250i −0.685651 0.00586615i
\(766\) −4.52269 + 1.08606i −0.163411 + 0.0392411i
\(767\) −19.1535 37.5909i −0.691593 1.35733i
\(768\) −40.6447 + 0.0178617i −1.46664 + 0.000644530i
\(769\) −20.0676 6.52037i −0.723658 0.235131i −0.0760494 0.997104i \(-0.524231\pi\)
−0.647608 + 0.761973i \(0.724231\pi\)
\(770\) 19.5594 46.1081i 0.704873 1.66162i
\(771\) 4.75173 9.32580i 0.171129 0.335860i
\(772\) −31.5448 + 10.2534i −1.13532 + 0.369027i
\(773\) 12.6774 + 9.21070i 0.455976 + 0.331286i 0.79195