Properties

Label 690.2.n.a.89.5
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.5
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.42695 - 0.981738i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.584056 - 2.15844i) q^{5} +(-0.768669 + 1.55214i) q^{6} +(-1.28454 + 0.825522i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.07238 + 2.80178i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.42695 - 0.981738i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(-0.584056 - 2.15844i) q^{5} +(-0.768669 + 1.55214i) q^{6} +(-1.28454 + 0.825522i) q^{7} +(0.415415 + 0.909632i) q^{8} +(1.07238 + 2.80178i) q^{9} +(-2.05335 + 0.885290i) q^{10} +(-0.219473 + 1.52646i) q^{11} +(1.64574 + 0.539952i) q^{12} +(-2.39248 + 3.72277i) q^{13} +(0.999928 + 1.15398i) q^{14} +(-1.28560 + 3.65338i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.0211748 - 0.0721148i) q^{17} +(2.62065 - 1.46020i) q^{18} +(0.126511 + 0.430858i) q^{19} +(1.16850 + 1.90646i) q^{20} +(2.64342 + 0.0830986i) q^{21} +1.54216 q^{22} +(4.78300 - 0.350566i) q^{23} +(0.300243 - 1.70583i) q^{24} +(-4.31776 + 2.52131i) q^{25} +(4.02536 + 1.83832i) q^{26} +(1.22038 - 5.05081i) q^{27} +(0.999928 - 1.15398i) q^{28} +(-1.07283 + 3.65371i) q^{29} +(3.79916 + 0.752589i) q^{30} +(-2.98547 - 6.53727i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(1.81176 - 1.96273i) q^{33} +(-0.0743943 - 0.0106963i) q^{34} +(2.53208 + 2.29045i) q^{35} +(-1.81830 - 2.38617i) q^{36} +(1.83669 + 2.11966i) q^{37} +(0.408468 - 0.186541i) q^{38} +(7.06874 - 2.96343i) q^{39} +(1.72076 - 1.42793i) q^{40} +(4.70508 + 4.07697i) q^{41} +(-0.293945 - 2.62834i) q^{42} +(-1.54435 + 3.38165i) q^{43} +(-0.219473 - 1.52646i) q^{44} +(5.42116 - 3.95108i) q^{45} +(-1.02769 - 4.68443i) q^{46} +7.94130 q^{47} +(-1.73120 - 0.0544219i) q^{48} +(-1.93936 + 4.24660i) q^{49} +(3.11012 + 3.91499i) q^{50} +(-0.101013 + 0.0821162i) q^{51} +(1.24674 - 4.24601i) q^{52} +(5.45190 + 8.48332i) q^{53} +(-5.17308 - 0.489153i) q^{54} +(3.42297 - 0.417823i) q^{55} +(-1.28454 - 0.825522i) q^{56} +(0.242464 - 0.739014i) q^{57} +(3.76920 + 0.541929i) q^{58} +(0.831298 - 1.29353i) q^{59} +(0.204252 - 3.86759i) q^{60} +(-3.72803 + 1.70254i) q^{61} +(-6.04585 + 3.88544i) q^{62} +(-3.69045 - 2.71372i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(9.43274 + 2.98972i) q^{65} +(-2.20059 - 1.51400i) q^{66} +(-1.56866 - 10.9103i) q^{67} +0.0751593i q^{68} +(-7.16928 - 4.19541i) q^{69} +(1.90678 - 2.83228i) q^{70} +(-6.98782 + 1.00470i) q^{71} +(-2.10311 + 2.13938i) q^{72} +(3.21126 + 10.9365i) q^{73} +(1.83669 - 2.11966i) q^{74} +(8.63649 + 0.641123i) q^{75} +(-0.242773 - 0.377763i) q^{76} +(-0.978209 - 2.14198i) q^{77} +(-3.93925 - 6.57505i) q^{78} +(-4.68933 + 7.29674i) q^{79} +(-1.65828 - 1.50003i) q^{80} +(-6.69999 + 6.00917i) q^{81} +(3.36587 - 5.23740i) q^{82} +(-3.99704 + 3.46346i) q^{83} +(-2.55975 + 0.665004i) q^{84} +(-0.168023 - 0.00358553i) q^{85} +(3.56702 + 1.04737i) q^{86} +(5.11785 - 4.16043i) q^{87} +(-1.47969 + 0.434477i) q^{88} +(3.53383 - 7.73801i) q^{89} +(-4.68237 - 4.80369i) q^{90} -6.75708i q^{91} +(-4.49049 + 1.68389i) q^{92} +(-2.15776 + 12.2593i) q^{93} +(-1.13017 - 7.86047i) q^{94} +(0.856092 - 0.524712i) q^{95} +(0.192507 + 1.72132i) q^{96} +(3.14175 - 3.62578i) q^{97} +(4.47937 + 1.31526i) q^{98} +(-4.51218 + 1.02204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.42695 0.981738i −0.823851 0.566807i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) −0.584056 2.15844i −0.261198 0.965285i
\(6\) −0.768669 + 1.55214i −0.313808 + 0.633660i
\(7\) −1.28454 + 0.825522i −0.485509 + 0.312018i −0.760397 0.649458i \(-0.774996\pi\)
0.274888 + 0.961476i \(0.411359\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 1.07238 + 2.80178i 0.357461 + 0.933928i
\(10\) −2.05335 + 0.885290i −0.649327 + 0.279953i
\(11\) −0.219473 + 1.52646i −0.0661735 + 0.460246i 0.929612 + 0.368538i \(0.120142\pi\)
−0.995786 + 0.0917080i \(0.970767\pi\)
\(12\) 1.64574 + 0.539952i 0.475084 + 0.155871i
\(13\) −2.39248 + 3.72277i −0.663555 + 1.03251i 0.332442 + 0.943124i \(0.392127\pi\)
−0.995997 + 0.0893875i \(0.971509\pi\)
\(14\) 0.999928 + 1.15398i 0.267242 + 0.308414i
\(15\) −1.28560 + 3.65338i −0.331942 + 0.943300i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.0211748 0.0721148i 0.00513565 0.0174904i −0.956885 0.290466i \(-0.906190\pi\)
0.962021 + 0.272976i \(0.0880078\pi\)
\(18\) 2.62065 1.46020i 0.617693 0.344173i
\(19\) 0.126511 + 0.430858i 0.0290237 + 0.0988455i 0.972731 0.231936i \(-0.0745059\pi\)
−0.943707 + 0.330781i \(0.892688\pi\)
\(20\) 1.16850 + 1.90646i 0.261285 + 0.426298i
\(21\) 2.64342 + 0.0830986i 0.576841 + 0.0181336i
\(22\) 1.54216 0.328790
\(23\) 4.78300 0.350566i 0.997325 0.0730981i
\(24\) 0.300243 1.70583i 0.0612868 0.348201i
\(25\) −4.31776 + 2.52131i −0.863551 + 0.504261i
\(26\) 4.02536 + 1.83832i 0.789439 + 0.360525i
\(27\) 1.22038 5.05081i 0.234862 0.972029i
\(28\) 0.999928 1.15398i 0.188969 0.218081i
\(29\) −1.07283 + 3.65371i −0.199219 + 0.678477i 0.797912 + 0.602774i \(0.205938\pi\)
−0.997130 + 0.0757023i \(0.975880\pi\)
\(30\) 3.79916 + 0.752589i 0.693628 + 0.137403i
\(31\) −2.98547 6.53727i −0.536207 1.17413i −0.962931 0.269747i \(-0.913060\pi\)
0.426725 0.904382i \(-0.359667\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 1.81176 1.96273i 0.315388 0.341667i
\(34\) −0.0743943 0.0106963i −0.0127585 0.00183440i
\(35\) 2.53208 + 2.29045i 0.428000 + 0.387157i
\(36\) −1.81830 2.38617i −0.303050 0.397695i
\(37\) 1.83669 + 2.11966i 0.301951 + 0.348470i 0.886366 0.462985i \(-0.153222\pi\)
−0.584415 + 0.811455i \(0.698676\pi\)
\(38\) 0.408468 0.186541i 0.0662622 0.0302609i
\(39\) 7.06874 2.96343i 1.13190 0.474528i
\(40\) 1.72076 1.42793i 0.272077 0.225775i
\(41\) 4.70508 + 4.07697i 0.734810 + 0.636716i 0.939673 0.342074i \(-0.111129\pi\)
−0.204863 + 0.978791i \(0.565675\pi\)
\(42\) −0.293945 2.62834i −0.0453567 0.405561i
\(43\) −1.54435 + 3.38165i −0.235511 + 0.515697i −0.990077 0.140527i \(-0.955120\pi\)
0.754566 + 0.656224i \(0.227848\pi\)
\(44\) −0.219473 1.52646i −0.0330867 0.230123i
\(45\) 5.42116 3.95108i 0.808139 0.588992i
\(46\) −1.02769 4.68443i −0.151525 0.690681i
\(47\) 7.94130 1.15836 0.579179 0.815200i \(-0.303373\pi\)
0.579179 + 0.815200i \(0.303373\pi\)
\(48\) −1.73120 0.0544219i −0.249877 0.00785513i
\(49\) −1.93936 + 4.24660i −0.277051 + 0.606657i
\(50\) 3.11012 + 3.91499i 0.439838 + 0.553663i
\(51\) −0.101013 + 0.0821162i −0.0141447 + 0.0114986i
\(52\) 1.24674 4.24601i 0.172892 0.588816i
\(53\) 5.45190 + 8.48332i 0.748876 + 1.16527i 0.981267 + 0.192652i \(0.0617087\pi\)
−0.232391 + 0.972622i \(0.574655\pi\)
\(54\) −5.17308 0.489153i −0.703967 0.0665653i
\(55\) 3.42297 0.417823i 0.461554 0.0563392i
\(56\) −1.28454 0.825522i −0.171653 0.110315i
\(57\) 0.242464 0.739014i 0.0321151 0.0978848i
\(58\) 3.76920 + 0.541929i 0.494920 + 0.0711587i
\(59\) 0.831298 1.29353i 0.108226 0.168403i −0.782916 0.622127i \(-0.786269\pi\)
0.891142 + 0.453725i \(0.149905\pi\)
\(60\) 0.204252 3.86759i 0.0263688 0.499304i
\(61\) −3.72803 + 1.70254i −0.477326 + 0.217987i −0.639524 0.768771i \(-0.720869\pi\)
0.162199 + 0.986758i \(0.448141\pi\)
\(62\) −6.04585 + 3.88544i −0.767824 + 0.493451i
\(63\) −3.69045 2.71372i −0.464953 0.341897i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 9.43274 + 2.98972i 1.16999 + 0.370830i
\(66\) −2.20059 1.51400i −0.270874 0.186360i
\(67\) −1.56866 10.9103i −0.191643 1.33290i −0.827660 0.561229i \(-0.810329\pi\)
0.636018 0.771674i \(-0.280581\pi\)
\(68\) 0.0751593i 0.00911440i
\(69\) −7.16928 4.19541i −0.863079 0.505068i
\(70\) 1.90678 2.83228i 0.227904 0.338522i
\(71\) −6.98782 + 1.00470i −0.829302 + 0.119236i −0.543876 0.839165i \(-0.683044\pi\)
−0.285425 + 0.958401i \(0.592135\pi\)
\(72\) −2.10311 + 2.13938i −0.247854 + 0.252128i
\(73\) 3.21126 + 10.9365i 0.375849 + 1.28002i 0.902775 + 0.430113i \(0.141526\pi\)
−0.526926 + 0.849911i \(0.676655\pi\)
\(74\) 1.83669 2.11966i 0.213511 0.246405i
\(75\) 8.63649 + 0.641123i 0.997256 + 0.0740305i
\(76\) −0.242773 0.377763i −0.0278480 0.0433323i
\(77\) −0.978209 2.14198i −0.111477 0.244101i
\(78\) −3.93925 6.57505i −0.446032 0.744478i
\(79\) −4.68933 + 7.29674i −0.527591 + 0.820947i −0.998111 0.0614421i \(-0.980430\pi\)
0.470520 + 0.882389i \(0.344066\pi\)
\(80\) −1.65828 1.50003i −0.185402 0.167709i
\(81\) −6.69999 + 6.00917i −0.744444 + 0.667685i
\(82\) 3.36587 5.23740i 0.371699 0.578374i
\(83\) −3.99704 + 3.46346i −0.438732 + 0.380164i −0.846033 0.533130i \(-0.821016\pi\)
0.407301 + 0.913294i \(0.366470\pi\)
\(84\) −2.55975 + 0.665004i −0.279292 + 0.0725579i
\(85\) −0.168023 0.00358553i −0.0182247 0.000388906i
\(86\) 3.56702 + 1.04737i 0.384641 + 0.112941i
\(87\) 5.11785 4.16043i 0.548691 0.446045i
\(88\) −1.47969 + 0.434477i −0.157736 + 0.0463154i
\(89\) 3.53383 7.73801i 0.374585 0.820227i −0.624642 0.780912i \(-0.714755\pi\)
0.999227 0.0393158i \(-0.0125178\pi\)
\(90\) −4.68237 4.80369i −0.493565 0.506353i
\(91\) 6.75708i 0.708335i
\(92\) −4.49049 + 1.68389i −0.468166 + 0.175558i
\(93\) −2.15776 + 12.2593i −0.223749 + 1.27123i
\(94\) −1.13017 7.86047i −0.116568 0.810746i
\(95\) 0.856092 0.524712i 0.0878332 0.0538344i
\(96\) 0.192507 + 1.72132i 0.0196476 + 0.175681i
\(97\) 3.14175 3.62578i 0.318997 0.368142i −0.573492 0.819211i \(-0.694412\pi\)
0.892489 + 0.451069i \(0.148957\pi\)
\(98\) 4.47937 + 1.31526i 0.452485 + 0.132862i
\(99\) −4.51218 + 1.02204i −0.453492 + 0.102719i
\(100\) 3.43252 3.63563i 0.343252 0.363563i
\(101\) 2.20987 1.91486i 0.219890 0.190536i −0.537949 0.842978i \(-0.680801\pi\)
0.757839 + 0.652441i \(0.226255\pi\)
\(102\) 0.0956561 + 0.0882987i 0.00947136 + 0.00874288i
\(103\) −2.47829 + 17.2369i −0.244193 + 1.69840i 0.386435 + 0.922317i \(0.373706\pi\)
−0.630628 + 0.776085i \(0.717203\pi\)
\(104\) −4.38022 0.629781i −0.429516 0.0617551i
\(105\) −1.36454 5.75420i −0.133166 0.561553i
\(106\) 7.62109 6.60371i 0.740226 0.641409i
\(107\) −15.6615 + 7.15239i −1.51406 + 0.691447i −0.987344 0.158595i \(-0.949304\pi\)
−0.526714 + 0.850042i \(0.676576\pi\)
\(108\) 0.252032 + 5.19004i 0.0242518 + 0.499412i
\(109\) −4.09077 + 13.9319i −0.391824 + 1.33443i 0.493617 + 0.869679i \(0.335675\pi\)
−0.885441 + 0.464752i \(0.846144\pi\)
\(110\) −0.900709 3.32867i −0.0858793 0.317376i
\(111\) −0.539926 4.82780i −0.0512475 0.458235i
\(112\) −0.634310 + 1.38895i −0.0599367 + 0.131243i
\(113\) −9.61164 + 1.38195i −0.904187 + 0.130003i −0.578697 0.815543i \(-0.696439\pi\)
−0.325491 + 0.945545i \(0.605529\pi\)
\(114\) −0.765998 0.134823i −0.0717423 0.0126273i
\(115\) −3.55022 10.1191i −0.331060 0.943610i
\(116\) 3.80796i 0.353560i
\(117\) −12.9961 2.71098i −1.20149 0.250630i
\(118\) −1.39866 0.638749i −0.128758 0.0588016i
\(119\) 0.0323325 + 0.110114i 0.00296391 + 0.0100942i
\(120\) −3.85730 + 0.348243i −0.352121 + 0.0317901i
\(121\) 8.27250 + 2.42902i 0.752045 + 0.220820i
\(122\) 2.21576 + 3.44779i 0.200605 + 0.312148i
\(123\) −2.71140 10.4368i −0.244479 0.941055i
\(124\) 4.70630 + 5.43136i 0.422638 + 0.487751i
\(125\) 7.96391 + 7.84705i 0.712314 + 0.701861i
\(126\) −2.16089 + 4.03909i −0.192508 + 0.359831i
\(127\) 9.56945 + 1.37588i 0.849151 + 0.122090i 0.553133 0.833093i \(-0.313432\pi\)
0.296018 + 0.955182i \(0.404341\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 5.52361 3.30931i 0.486327 0.291369i
\(130\) 1.61688 9.76221i 0.141809 0.856202i
\(131\) −8.43094 13.1188i −0.736615 1.14620i −0.984154 0.177317i \(-0.943258\pi\)
0.247539 0.968878i \(-0.420378\pi\)
\(132\) −1.18541 + 2.39366i −0.103177 + 0.208341i
\(133\) −0.518191 0.449015i −0.0449328 0.0389345i
\(134\) −10.5760 + 3.10539i −0.913627 + 0.268265i
\(135\) −11.6147 + 0.315837i −0.999630 + 0.0271829i
\(136\) 0.0743943 0.0106963i 0.00637925 0.000917198i
\(137\) 5.79820i 0.495373i −0.968840 0.247687i \(-0.920330\pi\)
0.968840 0.247687i \(-0.0796703\pi\)
\(138\) −3.13241 + 7.69337i −0.266649 + 0.654903i
\(139\) −7.74202 −0.656669 −0.328335 0.944561i \(-0.606487\pi\)
−0.328335 + 0.944561i \(0.606487\pi\)
\(140\) −3.07481 1.48430i −0.259869 0.125446i
\(141\) −11.3319 7.79628i −0.954315 0.656565i
\(142\) 1.98894 + 6.77371i 0.166908 + 0.568437i
\(143\) −5.15760 4.46908i −0.431300 0.373723i
\(144\) 2.41690 + 1.77724i 0.201409 + 0.148103i
\(145\) 8.51291 + 0.181662i 0.706959 + 0.0150862i
\(146\) 10.3682 4.73500i 0.858079 0.391872i
\(147\) 6.93641 4.15575i 0.572106 0.342761i
\(148\) −2.35947 1.51634i −0.193947 0.124642i
\(149\) 0.816379 5.67804i 0.0668804 0.465163i −0.928668 0.370912i \(-0.879045\pi\)
0.995548 0.0942513i \(-0.0300457\pi\)
\(150\) −0.594503 8.63982i −0.0485410 0.705439i
\(151\) 7.53875 + 4.84486i 0.613495 + 0.394269i 0.810166 0.586200i \(-0.199377\pi\)
−0.196671 + 0.980469i \(0.563013\pi\)
\(152\) −0.339367 + 0.294063i −0.0275263 + 0.0238517i
\(153\) 0.224758 0.0180074i 0.0181706 0.00145581i
\(154\) −1.98096 + 1.27309i −0.159631 + 0.102588i
\(155\) −12.3666 + 10.2621i −0.993313 + 0.824272i
\(156\) −5.94751 + 4.83488i −0.476182 + 0.387100i
\(157\) −17.0227 + 4.99833i −1.35856 + 0.398910i −0.878256 0.478191i \(-0.841293\pi\)
−0.480306 + 0.877101i \(0.659474\pi\)
\(158\) 7.88983 + 3.60316i 0.627681 + 0.286652i
\(159\) 0.548799 17.4576i 0.0435226 1.38448i
\(160\) −1.24877 + 1.85488i −0.0987237 + 0.146641i
\(161\) −5.85454 + 4.39879i −0.461403 + 0.346673i
\(162\) 6.90151 + 5.77660i 0.542234 + 0.453853i
\(163\) −8.41298 + 1.20960i −0.658956 + 0.0947435i −0.463677 0.886004i \(-0.653470\pi\)
−0.195279 + 0.980748i \(0.562561\pi\)
\(164\) −5.66311 2.58625i −0.442214 0.201953i
\(165\) −5.29461 2.76425i −0.412185 0.215196i
\(166\) 3.99704 + 3.46346i 0.310231 + 0.268816i
\(167\) 11.7390 + 3.44687i 0.908387 + 0.266727i 0.702362 0.711820i \(-0.252129\pi\)
0.206025 + 0.978547i \(0.433947\pi\)
\(168\) 1.02253 + 2.43906i 0.0788896 + 0.188177i
\(169\) −2.73467 5.98810i −0.210359 0.460623i
\(170\) 0.0203631 + 0.166823i 0.00156178 + 0.0127947i
\(171\) −1.07150 + 0.816501i −0.0819398 + 0.0624394i
\(172\) 0.529070 3.67977i 0.0403412 0.280580i
\(173\) −2.39213 + 16.6376i −0.181870 + 1.26494i 0.670465 + 0.741941i \(0.266095\pi\)
−0.852335 + 0.522995i \(0.824814\pi\)
\(174\) −4.84643 4.47367i −0.367407 0.339148i
\(175\) 3.46492 6.80311i 0.261924 0.514267i
\(176\) 0.640637 + 1.40280i 0.0482898 + 0.105740i
\(177\) −2.45612 + 1.02968i −0.184614 + 0.0773956i
\(178\) −8.16216 2.39663i −0.611780 0.179635i
\(179\) 8.11150 + 7.02865i 0.606282 + 0.525346i 0.903012 0.429615i \(-0.141351\pi\)
−0.296730 + 0.954961i \(0.595896\pi\)
\(180\) −4.08842 + 5.31835i −0.304733 + 0.396406i
\(181\) 4.56732 + 2.08583i 0.339486 + 0.155038i 0.577861 0.816135i \(-0.303887\pi\)
−0.238375 + 0.971173i \(0.576615\pi\)
\(182\) −6.68830 + 0.961633i −0.495770 + 0.0712810i
\(183\) 6.99116 + 1.23051i 0.516802 + 0.0909622i
\(184\) 2.30582 + 4.20514i 0.169987 + 0.310007i
\(185\) 3.50243 5.20240i 0.257504 0.382488i
\(186\) 12.4416 + 0.391115i 0.912264 + 0.0286780i
\(187\) 0.105433 + 0.0481498i 0.00771005 + 0.00352106i
\(188\) −7.61963 + 2.23732i −0.555718 + 0.163174i
\(189\) 2.60193 + 7.49540i 0.189263 + 0.545210i
\(190\) −0.641206 0.772704i −0.0465180 0.0560578i
\(191\) 7.60228 4.88569i 0.550082 0.353516i −0.235889 0.971780i \(-0.575800\pi\)
0.785970 + 0.618264i \(0.212164\pi\)
\(192\) 1.67640 0.435517i 0.120984 0.0314307i
\(193\) −13.6079 + 11.7913i −0.979515 + 0.848755i −0.988502 0.151205i \(-0.951685\pi\)
0.00898712 + 0.999960i \(0.497139\pi\)
\(194\) −4.03599 2.59377i −0.289767 0.186222i
\(195\) −10.5249 13.5267i −0.753706 0.968665i
\(196\) 0.664394 4.62096i 0.0474567 0.330069i
\(197\) −1.21200 0.778906i −0.0863515 0.0554947i 0.496753 0.867892i \(-0.334526\pi\)
−0.583104 + 0.812397i \(0.698162\pi\)
\(198\) 1.65379 + 4.32081i 0.117530 + 0.307066i
\(199\) −10.6391 + 4.85870i −0.754183 + 0.344424i −0.755130 0.655576i \(-0.772426\pi\)
0.000946248 1.00000i \(0.499699\pi\)
\(200\) −4.08712 2.88018i −0.289003 0.203660i
\(201\) −8.47264 + 17.1085i −0.597614 + 1.20674i
\(202\) −2.20987 1.91486i −0.155486 0.134729i
\(203\) −1.63813 5.57896i −0.114974 0.391566i
\(204\) 0.0737867 0.107249i 0.00516610 0.00750891i
\(205\) 6.05189 12.5368i 0.422682 0.875610i
\(206\) 17.4141 1.21330
\(207\) 6.11142 + 13.0250i 0.424773 + 0.905300i
\(208\) 4.42527i 0.306837i
\(209\) −0.685455 + 0.0985535i −0.0474139 + 0.00681709i
\(210\) −5.50144 + 2.16956i −0.379635 + 0.149714i
\(211\) −24.0656 + 7.06631i −1.65675 + 0.486465i −0.970540 0.240941i \(-0.922544\pi\)
−0.686207 + 0.727406i \(0.740726\pi\)
\(212\) −7.62109 6.60371i −0.523419 0.453545i
\(213\) 10.9576 + 5.42655i 0.750804 + 0.371821i
\(214\) 9.30845 + 14.4842i 0.636313 + 0.990122i
\(215\) 8.20109 + 1.35831i 0.559310 + 0.0926363i
\(216\) 5.10134 0.988086i 0.347102 0.0672307i
\(217\) 9.23161 + 5.93279i 0.626682 + 0.402744i
\(218\) 14.3722 + 2.06642i 0.973411 + 0.139955i
\(219\) 6.15450 18.7585i 0.415883 1.26758i
\(220\) −3.16660 + 1.36526i −0.213492 + 0.0920458i
\(221\) 0.217807 + 0.251362i 0.0146513 + 0.0169084i
\(222\) −4.70182 + 1.22150i −0.315566 + 0.0819816i
\(223\) 0.982571 + 1.52891i 0.0657978 + 0.102383i 0.872593 0.488447i \(-0.162437\pi\)
−0.806796 + 0.590831i \(0.798800\pi\)
\(224\) 1.46508 + 0.430186i 0.0978898 + 0.0287430i
\(225\) −11.6944 9.39362i −0.779629 0.626241i
\(226\) 2.73576 + 9.31714i 0.181980 + 0.619767i
\(227\) −12.1334 5.54114i −0.805323 0.367778i −0.0301638 0.999545i \(-0.509603\pi\)
−0.775159 + 0.631766i \(0.782330\pi\)
\(228\) −0.0244380 + 0.777389i −0.00161845 + 0.0514838i
\(229\) 20.2203i 1.33619i −0.744075 0.668096i \(-0.767110\pi\)
0.744075 0.668096i \(-0.232890\pi\)
\(230\) −9.51084 + 4.95418i −0.627126 + 0.326669i
\(231\) −0.707005 + 4.01685i −0.0465175 + 0.264289i
\(232\) −3.76920 + 0.541929i −0.247460 + 0.0355794i
\(233\) −5.44463 + 11.9221i −0.356690 + 0.781042i 0.643193 + 0.765704i \(0.277609\pi\)
−0.999882 + 0.0153372i \(0.995118\pi\)
\(234\) −0.833853 + 13.2496i −0.0545107 + 0.866153i
\(235\) −4.63817 17.1409i −0.302561 1.11815i
\(236\) −0.433197 + 1.47533i −0.0281987 + 0.0960359i
\(237\) 13.8549 5.80840i 0.899975 0.377296i
\(238\) 0.104392 0.0476743i 0.00676674 0.00309027i
\(239\) 6.31658 5.47335i 0.408585 0.354041i −0.426188 0.904634i \(-0.640144\pi\)
0.834774 + 0.550593i \(0.185598\pi\)
\(240\) 0.893649 + 3.76847i 0.0576848 + 0.243254i
\(241\) 18.7450 + 2.69512i 1.20747 + 0.173608i 0.716512 0.697575i \(-0.245738\pi\)
0.490958 + 0.871183i \(0.336647\pi\)
\(242\) 1.22700 8.53398i 0.0788746 0.548585i
\(243\) 15.4600 1.99716i 0.991759 0.128118i
\(244\) 3.09736 2.68388i 0.198288 0.171818i
\(245\) 10.2987 + 1.70574i 0.657962 + 0.108976i
\(246\) −9.94470 + 4.16912i −0.634051 + 0.265813i
\(247\) −1.90666 0.559846i −0.121318 0.0356221i
\(248\) 4.70630 5.43136i 0.298850 0.344892i
\(249\) 9.10379 1.01814i 0.576929 0.0645219i
\(250\) 6.63379 8.99960i 0.419558 0.569185i
\(251\) 0.108126 + 0.752035i 0.00682487 + 0.0474680i 0.992949 0.118540i \(-0.0378214\pi\)
−0.986124 + 0.166008i \(0.946912\pi\)
\(252\) 4.30550 + 1.56408i 0.271221 + 0.0985275i
\(253\) −0.514611 + 7.37802i −0.0323533 + 0.463852i
\(254\) 9.66786i 0.606615i
\(255\) 0.236241 + 0.170071i 0.0147940 + 0.0106503i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 25.5672 7.50720i 1.59484 0.468286i 0.640733 0.767764i \(-0.278630\pi\)
0.954103 + 0.299477i \(0.0968123\pi\)
\(258\) −4.06172 4.99642i −0.252871 0.311064i
\(259\) −4.10912 1.20655i −0.255329 0.0749712i
\(260\) −9.89295 0.211111i −0.613534 0.0130925i
\(261\) −11.3874 + 0.912346i −0.704861 + 0.0564728i
\(262\) −11.7854 + 10.2121i −0.728106 + 0.630907i
\(263\) 9.89708 15.4002i 0.610280 0.949614i −0.389314 0.921105i \(-0.627288\pi\)
0.999594 0.0285088i \(-0.00907585\pi\)
\(264\) 2.53799 + 0.832693i 0.156203 + 0.0512487i
\(265\) 15.1266 16.7224i 0.929217 1.02725i
\(266\) −0.370698 + 0.576818i −0.0227290 + 0.0353670i
\(267\) −12.6393 + 7.57247i −0.773513 + 0.463428i
\(268\) 4.57890 + 10.0264i 0.279701 + 0.612460i
\(269\) −4.11521 6.40339i −0.250909 0.390422i 0.692837 0.721095i \(-0.256361\pi\)
−0.943745 + 0.330673i \(0.892724\pi\)
\(270\) 1.96556 + 11.4515i 0.119620 + 0.696915i
\(271\) −6.62768 + 7.64875i −0.402603 + 0.464628i −0.920459 0.390839i \(-0.872185\pi\)
0.517856 + 0.855468i \(0.326730\pi\)
\(272\) −0.0211748 0.0721148i −0.00128391 0.00437260i
\(273\) −6.63368 + 9.64203i −0.401489 + 0.583562i
\(274\) −5.73918 + 0.825169i −0.346716 + 0.0498503i
\(275\) −2.90106 7.14426i −0.174940 0.430815i
\(276\) 8.06085 + 2.00565i 0.485206 + 0.120726i
\(277\) 2.53450i 0.152283i −0.997097 0.0761416i \(-0.975740\pi\)
0.997097 0.0761416i \(-0.0242601\pi\)
\(278\) 1.10180 + 7.66321i 0.0660818 + 0.459609i
\(279\) 15.1145 15.3751i 0.904879 0.920483i
\(280\) −1.03160 + 3.25475i −0.0616499 + 0.194509i
\(281\) −11.1025 + 12.8130i −0.662319 + 0.764357i −0.983154 0.182778i \(-0.941491\pi\)
0.320835 + 0.947135i \(0.396036\pi\)
\(282\) −6.10423 + 12.3260i −0.363502 + 0.734005i
\(283\) 25.1660 16.1732i 1.49596 0.961397i 0.500552 0.865706i \(-0.333130\pi\)
0.995411 0.0956910i \(-0.0305061\pi\)
\(284\) 6.42171 2.93270i 0.381058 0.174023i
\(285\) −1.73673 0.0917186i −0.102875 0.00543294i
\(286\) −3.68959 + 5.74112i −0.218170 + 0.339479i
\(287\) −9.40948 1.35288i −0.555424 0.0798579i
\(288\) 1.41519 2.64523i 0.0833907 0.155872i
\(289\) 14.2966 + 9.18784i 0.840974 + 0.540461i
\(290\) −1.03170 8.45212i −0.0605836 0.496325i
\(291\) −8.04269 + 2.08943i −0.471471 + 0.122485i
\(292\) −6.16236 9.58881i −0.360625 0.561143i
\(293\) 6.18090 21.0502i 0.361092 1.22977i −0.556031 0.831162i \(-0.687676\pi\)
0.917123 0.398604i \(-0.130505\pi\)
\(294\) −5.10061 6.27439i −0.297473 0.365930i
\(295\) −3.27753 1.03882i −0.190825 0.0604823i
\(296\) −1.16512 + 2.55125i −0.0677211 + 0.148289i
\(297\) 7.44204 + 2.97138i 0.431831 + 0.172417i
\(298\) −5.73643 −0.332302
\(299\) −10.1382 + 18.6447i −0.586305 + 1.07825i
\(300\) −8.46728 + 1.81803i −0.488858 + 0.104964i
\(301\) −0.807855 5.61875i −0.0465640 0.323859i
\(302\) 3.72267 8.15151i 0.214216 0.469067i
\(303\) −5.03327 + 0.562905i −0.289154 + 0.0323380i
\(304\) 0.339367 + 0.294063i 0.0194640 + 0.0168657i
\(305\) 5.85221 + 7.05237i 0.335096 + 0.403817i
\(306\) −0.0498104 0.219907i −0.00284747 0.0125713i
\(307\) 22.8416 10.4314i 1.30364 0.595351i 0.362061 0.932154i \(-0.382073\pi\)
0.941575 + 0.336803i \(0.109346\pi\)
\(308\) 1.54205 + 1.77962i 0.0878665 + 0.101403i
\(309\) 20.4585 22.1632i 1.16384 1.26082i
\(310\) 11.9176 + 10.7803i 0.676875 + 0.612281i
\(311\) −27.2890 3.92357i −1.54742 0.222485i −0.684948 0.728592i \(-0.740175\pi\)
−0.862471 + 0.506106i \(0.831084\pi\)
\(312\) 5.63209 + 5.19890i 0.318854 + 0.294330i
\(313\) 0.0716998 + 0.0827460i 0.00405271 + 0.00467708i 0.757772 0.652519i \(-0.226288\pi\)
−0.753720 + 0.657196i \(0.771742\pi\)
\(314\) 7.37004 + 16.1381i 0.415915 + 0.910727i
\(315\) −3.70198 + 9.55059i −0.208583 + 0.538115i
\(316\) 2.44365 8.32231i 0.137466 0.468166i
\(317\) −12.0872 + 13.9494i −0.678887 + 0.783478i −0.985739 0.168280i \(-0.946179\pi\)
0.306852 + 0.951757i \(0.400724\pi\)
\(318\) −17.3580 + 1.94127i −0.973390 + 0.108861i
\(319\) −5.34180 2.43952i −0.299083 0.136587i
\(320\) 2.01372 + 0.972079i 0.112570 + 0.0543409i
\(321\) 29.3700 + 5.16941i 1.63927 + 0.288529i
\(322\) 5.18720 + 5.16894i 0.289071 + 0.288054i
\(323\) 0.0337501 0.00187790
\(324\) 4.73562 7.65336i 0.263090 0.425187i
\(325\) 0.943902 22.1062i 0.0523582 1.22623i
\(326\) 2.39458 + 8.15521i 0.132624 + 0.451675i
\(327\) 19.5148 15.8640i 1.07917 0.877284i
\(328\) −1.75399 + 5.97353i −0.0968477 + 0.329833i
\(329\) −10.2009 + 6.55572i −0.562394 + 0.361429i
\(330\) −1.98261 + 5.63411i −0.109139 + 0.310148i
\(331\) −0.680280 0.785085i −0.0373916 0.0431522i 0.736746 0.676170i \(-0.236361\pi\)
−0.774137 + 0.633018i \(0.781816\pi\)
\(332\) 2.85936 4.44926i 0.156928 0.244185i
\(333\) −3.96919 + 7.41910i −0.217510 + 0.406564i
\(334\) 1.74116 12.1100i 0.0952718 0.662630i
\(335\) −22.6331 + 9.75809i −1.23658 + 0.533142i
\(336\) 2.26871 1.35923i 0.123768 0.0741522i
\(337\) −11.5204 25.2263i −0.627559 1.37416i −0.909892 0.414846i \(-0.863836\pi\)
0.282333 0.959316i \(-0.408892\pi\)
\(338\) −5.53796 + 3.55903i −0.301225 + 0.193586i
\(339\) 15.0721 + 7.46414i 0.818602 + 0.405397i
\(340\) 0.162227 0.0438972i 0.00879800 0.00238066i
\(341\) 10.6341 3.12247i 0.575871 0.169091i
\(342\) 0.960681 + 0.944395i 0.0519477 + 0.0510670i
\(343\) −2.53562 17.6356i −0.136911 0.952234i
\(344\) −3.71761 −0.200440
\(345\) −4.86830 + 17.9248i −0.262100 + 0.965041i
\(346\) 16.8087 0.903643
\(347\) −2.24184 15.5924i −0.120348 0.837042i −0.957162 0.289554i \(-0.906493\pi\)
0.836813 0.547488i \(-0.184416\pi\)
\(348\) −3.73841 + 5.43377i −0.200400 + 0.291281i
\(349\) −12.5921 + 3.69737i −0.674038 + 0.197916i −0.600801 0.799399i \(-0.705151\pi\)
−0.0732379 + 0.997315i \(0.523333\pi\)
\(350\) −7.22698 2.46147i −0.386298 0.131571i
\(351\) 15.8833 + 16.6272i 0.847787 + 0.887492i
\(352\) 1.29735 0.833756i 0.0691489 0.0444393i
\(353\) −12.3316 27.0025i −0.656346 1.43720i −0.885888 0.463899i \(-0.846450\pi\)
0.229542 0.973299i \(-0.426277\pi\)
\(354\) 1.36874 + 2.28459i 0.0727479 + 0.121424i
\(355\) 6.24986 + 14.4960i 0.331708 + 0.769369i
\(356\) −1.21064 + 8.42016i −0.0641636 + 0.446268i
\(357\) 0.0619665 0.188870i 0.00327962 0.00999606i
\(358\) 5.80273 9.02922i 0.306684 0.477209i
\(359\) 24.6651 + 28.4650i 1.30177 + 1.50233i 0.734015 + 0.679133i \(0.237644\pi\)
0.567759 + 0.823195i \(0.307810\pi\)
\(360\) 5.84606 + 3.28993i 0.308114 + 0.173394i
\(361\) 15.8142 10.1632i 0.832325 0.534903i
\(362\) 1.41460 4.81768i 0.0743496 0.253211i
\(363\) −9.41979 11.5875i −0.494411 0.608187i
\(364\) 1.90369 + 6.48337i 0.0997805 + 0.339821i
\(365\) 21.7303 13.3189i 1.13742 0.697142i
\(366\) 0.223043 7.09512i 0.0116586 0.370868i
\(367\) −2.24178 −0.117020 −0.0585101 0.998287i \(-0.518635\pi\)
−0.0585101 + 0.998287i \(0.518635\pi\)
\(368\) 3.83419 2.88080i 0.199871 0.150172i
\(369\) −6.37716 + 17.5547i −0.331982 + 0.913861i
\(370\) −5.64789 2.72640i −0.293620 0.141739i
\(371\) −14.0063 6.39648i −0.727173 0.332089i
\(372\) −1.38349 12.3706i −0.0717308 0.641388i
\(373\) −0.540194 + 0.623417i −0.0279702 + 0.0322793i −0.769562 0.638572i \(-0.779526\pi\)
0.741592 + 0.670851i \(0.234071\pi\)
\(374\) 0.0326550 0.111213i 0.00168855 0.00575067i
\(375\) −3.66037 19.0158i −0.189021 0.981973i
\(376\) 3.29894 + 7.22366i 0.170130 + 0.372532i
\(377\) −11.0352 12.7353i −0.568342 0.655902i
\(378\) 7.04881 3.64215i 0.362552 0.187332i
\(379\) −4.45047 0.639881i −0.228605 0.0328685i 0.0270602 0.999634i \(-0.491385\pi\)
−0.255665 + 0.966765i \(0.582295\pi\)
\(380\) −0.673586 + 0.744647i −0.0345542 + 0.0381996i
\(381\) −12.3044 11.3580i −0.630373 0.581888i
\(382\) −5.91788 6.82959i −0.302785 0.349432i
\(383\) 27.1518 12.3998i 1.38739 0.633601i 0.424982 0.905202i \(-0.360280\pi\)
0.962410 + 0.271601i \(0.0875532\pi\)
\(384\) −0.669661 1.59736i −0.0341735 0.0815149i
\(385\) −4.05201 + 3.36245i −0.206510 + 0.171366i
\(386\) 13.6079 + 11.7913i 0.692622 + 0.600160i
\(387\) −11.1308 0.700509i −0.565810 0.0356089i
\(388\) −1.99299 + 4.36404i −0.101179 + 0.221551i
\(389\) 3.02213 + 21.0194i 0.153228 + 1.06572i 0.910763 + 0.412929i \(0.135494\pi\)
−0.757535 + 0.652795i \(0.773597\pi\)
\(390\) −11.8911 + 12.3428i −0.602131 + 0.625004i
\(391\) 0.0759982 0.352348i 0.00384339 0.0178190i
\(392\) −4.66848 −0.235794
\(393\) −0.848675 + 26.9969i −0.0428100 + 1.36181i
\(394\) −0.598492 + 1.31051i −0.0301516 + 0.0660228i
\(395\) 18.4884 + 5.85995i 0.930254 + 0.294846i
\(396\) 4.04147 2.25187i 0.203091 0.113161i
\(397\) −10.0165 + 34.1130i −0.502712 + 1.71208i 0.182028 + 0.983293i \(0.441734\pi\)
−0.684740 + 0.728787i \(0.740084\pi\)
\(398\) 6.32334 + 9.83931i 0.316960 + 0.493200i
\(399\) 0.298618 + 1.14945i 0.0149496 + 0.0575445i
\(400\) −2.26921 + 4.45541i −0.113460 + 0.222771i
\(401\) −11.4322 7.34702i −0.570896 0.366893i 0.223118 0.974791i \(-0.428376\pi\)
−0.794015 + 0.607898i \(0.792013\pi\)
\(402\) 18.1401 + 5.95161i 0.904747 + 0.296839i
\(403\) 31.4795 + 4.52606i 1.56810 + 0.225459i
\(404\) −1.58088 + 2.45989i −0.0786515 + 0.122384i
\(405\) 16.8836 + 10.9519i 0.838954 + 0.544202i
\(406\) −5.28905 + 2.41543i −0.262491 + 0.119876i
\(407\) −3.63869 + 2.33844i −0.180363 + 0.115912i
\(408\) −0.116658 0.0577726i −0.00577543 0.00286017i
\(409\) −22.8084 + 26.3222i −1.12780 + 1.30155i −0.179650 + 0.983731i \(0.557496\pi\)
−0.948151 + 0.317821i \(0.897049\pi\)
\(410\) −13.2705 4.20611i −0.655383 0.207725i
\(411\) −5.69231 + 8.27374i −0.280781 + 0.408114i
\(412\) −2.47829 17.2369i −0.122097 0.849201i
\(413\) 2.34784i 0.115529i
\(414\) 12.0227 7.90286i 0.590882 0.388404i
\(415\) 9.81017 + 6.60453i 0.481562 + 0.324204i
\(416\) 4.38022 0.629781i 0.214758 0.0308776i
\(417\) 11.0475 + 7.60063i 0.540998 + 0.372204i
\(418\) 0.195101 + 0.664452i 0.00954269 + 0.0324994i
\(419\) 20.7734 23.9738i 1.01485 1.17119i 0.0296855 0.999559i \(-0.490549\pi\)
0.985161 0.171635i \(-0.0549051\pi\)
\(420\) 2.93041 + 5.13668i 0.142990 + 0.250644i
\(421\) −2.78229 4.32932i −0.135600 0.210998i 0.766812 0.641872i \(-0.221842\pi\)
−0.902412 + 0.430874i \(0.858206\pi\)
\(422\) 10.4193 + 22.8150i 0.507203 + 1.11062i
\(423\) 8.51611 + 22.2498i 0.414068 + 1.08182i
\(424\) −5.45190 + 8.48332i −0.264768 + 0.411987i
\(425\) 0.0903957 + 0.364762i 0.00438484 + 0.0176936i
\(426\) 3.81188 11.6184i 0.184686 0.562912i
\(427\) 3.38331 5.26454i 0.163730 0.254769i
\(428\) 13.0121 11.2750i 0.628962 0.544999i
\(429\) 2.97217 + 11.4406i 0.143498 + 0.552356i
\(430\) 0.177351 8.31093i 0.00855264 0.400789i
\(431\) 1.19289 + 0.350265i 0.0574597 + 0.0168717i 0.310336 0.950627i \(-0.399558\pi\)
−0.252876 + 0.967499i \(0.581377\pi\)
\(432\) −1.70403 4.90880i −0.0819849 0.236175i
\(433\) 10.5570 3.09981i 0.507337 0.148968i −0.0180399 0.999837i \(-0.505743\pi\)
0.525377 + 0.850870i \(0.323924\pi\)
\(434\) 4.55861 9.98197i 0.218820 0.479150i
\(435\) −11.9692 8.61667i −0.573878 0.413138i
\(436\) 14.5200i 0.695383i
\(437\) 0.756147 + 2.01644i 0.0361714 + 0.0964595i
\(438\) −19.4435 3.42224i −0.929045 0.163521i
\(439\) 2.39759 + 16.6756i 0.114431 + 0.795884i 0.963520 + 0.267635i \(0.0862421\pi\)
−0.849090 + 0.528249i \(0.822849\pi\)
\(440\) 1.80202 + 2.94008i 0.0859079 + 0.140163i
\(441\) −13.9778 0.879682i −0.665609 0.0418896i
\(442\) 0.217807 0.251362i 0.0103600 0.0119561i
\(443\) 4.83376 + 1.41932i 0.229659 + 0.0674339i 0.394537 0.918880i \(-0.370905\pi\)
−0.164878 + 0.986314i \(0.552723\pi\)
\(444\) 1.87820 + 4.48013i 0.0891356 + 0.212617i
\(445\) −18.7660 3.10814i −0.889594 0.147340i
\(446\) 1.37351 1.19016i 0.0650377 0.0563555i
\(447\) −6.73928 + 7.30082i −0.318757 + 0.345317i
\(448\) 0.217305 1.51139i 0.0102667 0.0714065i
\(449\) 5.24080 + 0.753513i 0.247328 + 0.0355605i 0.264864 0.964286i \(-0.414673\pi\)
−0.0175355 + 0.999846i \(0.505582\pi\)
\(450\) −7.63371 + 12.9123i −0.359857 + 0.608690i
\(451\) −7.25599 + 6.28735i −0.341671 + 0.296060i
\(452\) 8.83297 4.03388i 0.415468 0.189738i
\(453\) −6.00105 14.3145i −0.281954 0.672552i
\(454\) −3.75798 + 12.7985i −0.176371 + 0.600663i
\(455\) −14.5848 + 3.94652i −0.683745 + 0.185016i
\(456\) 0.772954 0.0864446i 0.0361969 0.00404814i
\(457\) −0.00287378 + 0.00629269i −0.000134430 + 0.000294360i −0.909699 0.415268i \(-0.863688\pi\)
0.909565 + 0.415562i \(0.136415\pi\)
\(458\) −20.0144 + 2.87764i −0.935213 + 0.134463i
\(459\) −0.338397 0.194957i −0.0157950 0.00909983i
\(460\) 6.25729 + 8.70898i 0.291748 + 0.406058i
\(461\) 16.6775i 0.776748i 0.921502 + 0.388374i \(0.126963\pi\)
−0.921502 + 0.388374i \(0.873037\pi\)
\(462\) 4.07658 + 0.128151i 0.189660 + 0.00596215i
\(463\) 10.4491 + 4.77196i 0.485613 + 0.221772i 0.643149 0.765741i \(-0.277628\pi\)
−0.157536 + 0.987513i \(0.550355\pi\)
\(464\) 1.07283 + 3.65371i 0.0498047 + 0.169619i
\(465\) 27.7213 2.50273i 1.28554 0.116061i
\(466\) 12.5756 + 3.69252i 0.582553 + 0.171053i
\(467\) −10.7050 16.6573i −0.495368 0.770807i 0.500094 0.865971i \(-0.333299\pi\)
−0.995462 + 0.0951638i \(0.969663\pi\)
\(468\) 13.2334 1.06025i 0.611714 0.0490099i
\(469\) 11.0217 + 12.7197i 0.508934 + 0.587341i
\(470\) −16.3063 + 7.03036i −0.752154 + 0.324286i
\(471\) 29.1977 + 9.57949i 1.34536 + 0.441400i
\(472\) 1.52197 + 0.218826i 0.0700541 + 0.0100723i
\(473\) −4.82303 3.09957i −0.221763 0.142519i
\(474\) −7.72104 12.8873i −0.354639 0.591933i
\(475\) −1.63257 1.54136i −0.0749074 0.0707227i
\(476\) −0.0620456 0.0965448i −0.00284386 0.00442513i
\(477\) −17.9219 + 24.3724i −0.820588 + 1.11594i
\(478\) −6.31658 5.47335i −0.288914 0.250345i
\(479\) 28.4605 8.35677i 1.30039 0.381830i 0.443015 0.896514i \(-0.353909\pi\)
0.857380 + 0.514684i \(0.172091\pi\)
\(480\) 3.60294 1.42086i 0.164451 0.0648532i
\(481\) −12.2853 + 1.76635i −0.560159 + 0.0805388i
\(482\) 18.9377i 0.862590i
\(483\) 12.6726 0.529231i 0.576623 0.0240809i
\(484\) −8.62174 −0.391897
\(485\) −9.66099 4.66364i −0.438683 0.211765i
\(486\) −4.17702 15.0184i −0.189473 0.681249i
\(487\) −1.79475 6.11234i −0.0813277 0.276977i 0.908782 0.417271i \(-0.137013\pi\)
−0.990110 + 0.140294i \(0.955195\pi\)
\(488\) −3.09736 2.68388i −0.140211 0.121493i
\(489\) 13.1924 + 6.53329i 0.596582 + 0.295446i
\(490\) 0.222713 10.4367i 0.0100612 0.471480i
\(491\) −16.0080 + 7.31060i −0.722430 + 0.329923i −0.742473 0.669876i \(-0.766347\pi\)
0.0200427 + 0.999799i \(0.493620\pi\)
\(492\) 5.54196 + 9.25015i 0.249851 + 0.417029i
\(493\) 0.240769 + 0.154733i 0.0108437 + 0.00696883i
\(494\) −0.282801 + 1.96693i −0.0127238 + 0.0884962i
\(495\) 4.84138 + 9.14237i 0.217604 + 0.410919i
\(496\) −6.04585 3.88544i −0.271467 0.174461i
\(497\) 8.14671 7.05917i 0.365430 0.316647i
\(498\) −2.30338 8.86623i −0.103217 0.397305i
\(499\) −17.5745 + 11.2945i −0.786744 + 0.505610i −0.871266 0.490812i \(-0.836700\pi\)
0.0845214 + 0.996422i \(0.473064\pi\)
\(500\) −9.85208 5.28550i −0.440599 0.236375i
\(501\) −13.3670 16.4431i −0.597193 0.734623i
\(502\) 0.728992 0.214051i 0.0325365 0.00955358i
\(503\) −18.9156 8.63845i −0.843403 0.385169i −0.0536243 0.998561i \(-0.517077\pi\)
−0.789779 + 0.613392i \(0.789805\pi\)
\(504\) 0.935419 4.48427i 0.0416669 0.199745i
\(505\) −5.42381 3.65149i −0.241357 0.162489i
\(506\) 7.37616 0.540629i 0.327910 0.0240339i
\(507\) −1.97650 + 11.2295i −0.0877792 + 0.498718i
\(508\) −9.56945 + 1.37588i −0.424576 + 0.0610448i
\(509\) −32.2664 14.7356i −1.43018 0.653142i −0.458340 0.888777i \(-0.651556\pi\)
−0.971842 + 0.235635i \(0.924283\pi\)
\(510\) 0.134719 0.258040i 0.00596547 0.0114262i
\(511\) −13.1533 11.3974i −0.581869 0.504192i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) 2.33057 0.113174i 0.102897 0.00499676i
\(514\) −11.0694 24.2386i −0.488249 1.06912i
\(515\) 38.6523 4.71807i 1.70322 0.207903i
\(516\) −4.36752 + 4.73144i −0.192269 + 0.208290i
\(517\) −1.74290 + 12.1221i −0.0766526 + 0.533130i
\(518\) −0.609478 + 4.23901i −0.0267789 + 0.186251i
\(519\) 19.7473 21.3927i 0.866808 0.939034i
\(520\) 1.19895 + 9.82229i 0.0525775 + 0.430736i
\(521\) −14.1015 30.8780i −0.617799 1.35279i −0.917109 0.398636i \(-0.869484\pi\)
0.299310 0.954156i \(-0.403243\pi\)
\(522\) 2.52365 + 11.1416i 0.110457 + 0.487656i
\(523\) −30.1696 8.85861i −1.31923 0.387360i −0.455013 0.890485i \(-0.650365\pi\)
−0.864214 + 0.503125i \(0.832184\pi\)
\(524\) 11.7854 + 10.2121i 0.514849 + 0.446119i
\(525\) −11.6232 + 6.30606i −0.507276 + 0.275219i
\(526\) −16.6519 7.60467i −0.726057 0.331579i
\(527\) −0.534651 + 0.0768712i −0.0232898 + 0.00334856i
\(528\) 0.463023 2.63067i 0.0201505 0.114485i
\(529\) 22.7542 3.35351i 0.989313 0.145805i
\(530\) −18.7049 12.5927i −0.812488 0.546994i
\(531\) 4.51565 + 0.941965i 0.195962 + 0.0408778i
\(532\) 0.623702 + 0.284835i 0.0270409 + 0.0123492i
\(533\) −26.4345 + 7.76186i −1.14500 + 0.336203i
\(534\) 9.29415 + 11.4330i 0.402197 + 0.494753i
\(535\) 24.5852 + 29.6272i 1.06291 + 1.28089i
\(536\) 9.27270 5.95920i 0.400520 0.257398i
\(537\) −4.67442 17.9929i −0.201716 0.776452i
\(538\) −5.75256 + 4.98462i −0.248010 + 0.214902i
\(539\) −6.05665 3.89237i −0.260878 0.167656i
\(540\) 11.0552 3.57527i 0.475740 0.153855i
\(541\) 1.63207 11.3513i 0.0701682 0.488030i −0.924188 0.381938i \(-0.875257\pi\)
0.994356 0.106093i \(-0.0338340\pi\)
\(542\) 8.51411 + 5.47169i 0.365713 + 0.235029i
\(543\) −4.46961 7.46028i −0.191809 0.320151i
\(544\) −0.0683673 + 0.0312223i −0.00293122 + 0.00133864i
\(545\) 32.4604 + 0.692690i 1.39045 + 0.0296716i
\(546\) 10.4880 + 5.19396i 0.448843 + 0.222281i
\(547\) 23.7002 + 20.5363i 1.01335 + 0.878070i 0.992565 0.121714i \(-0.0388392\pi\)
0.0207813 + 0.999784i \(0.493385\pi\)
\(548\) 1.63354 + 5.56333i 0.0697814 + 0.237654i
\(549\) −8.76801 8.61937i −0.374210 0.367866i
\(550\) −6.65868 + 3.88826i −0.283927 + 0.165796i
\(551\) −1.70995 −0.0728464
\(552\) 0.838056 8.26424i 0.0356700 0.351749i
\(553\) 13.2441i 0.563195i
\(554\) −2.50870 + 0.360697i −0.106584 + 0.0153245i
\(555\) −10.1052 + 3.98511i −0.428941 + 0.169158i
\(556\) 7.42841 2.18118i 0.315035 0.0925026i
\(557\) 5.71257 + 4.94997i 0.242049 + 0.209737i 0.767434 0.641128i \(-0.221533\pi\)
−0.525385 + 0.850865i \(0.676079\pi\)
\(558\) −17.3696 12.7725i −0.735315 0.540703i
\(559\) −8.89430 13.8398i −0.376189 0.585361i
\(560\) 3.36843 + 0.557900i 0.142342 + 0.0235756i
\(561\) −0.103178 0.172215i −0.00435617 0.00727094i
\(562\) 14.2626 + 9.16601i 0.601631 + 0.386645i
\(563\) 27.3594 + 3.93368i 1.15306 + 0.165785i 0.692212 0.721694i \(-0.256636\pi\)
0.460847 + 0.887479i \(0.347546\pi\)
\(564\) 13.0693 + 4.28792i 0.550317 + 0.180554i
\(565\) 8.59659 + 19.9391i 0.361661 + 0.838842i
\(566\) −19.5901 22.6082i −0.823433 0.950292i
\(567\) 3.64569 13.2500i 0.153105 0.556447i
\(568\) −3.81675 5.93898i −0.160147 0.249194i
\(569\) −15.1019 4.43431i −0.633104 0.185896i −0.0505935 0.998719i \(-0.516111\pi\)
−0.582510 + 0.812823i \(0.697929\pi\)
\(570\) 0.156378 + 1.73211i 0.00654994 + 0.0725500i
\(571\) −7.62777 25.9778i −0.319212 1.08714i −0.950277 0.311406i \(-0.899200\pi\)
0.631065 0.775730i \(-0.282618\pi\)
\(572\) 6.20776 + 2.83499i 0.259560 + 0.118537i
\(573\) −15.6445 0.491803i −0.653560 0.0205454i
\(574\) 9.50624i 0.396783i
\(575\) −19.7680 + 13.5731i −0.824381 + 0.566036i
\(576\) −2.81971 1.02433i −0.117488 0.0426803i
\(577\) −8.64026 + 1.24228i −0.359699 + 0.0517169i −0.319795 0.947487i \(-0.603614\pi\)
−0.0399034 + 0.999204i \(0.512705\pi\)
\(578\) 7.05971 15.4586i 0.293645 0.642993i
\(579\) 30.9937 3.46624i 1.28805 0.144052i
\(580\) −8.21926 + 2.22406i −0.341286 + 0.0923491i
\(581\) 2.27519 7.74858i 0.0943907 0.321465i
\(582\) 3.21276 + 7.66347i 0.133173 + 0.317661i
\(583\) −14.1460 + 6.46028i −0.585869 + 0.267557i
\(584\) −8.61422 + 7.46426i −0.356459 + 0.308873i
\(585\) 1.73894 + 29.6346i 0.0718961 + 1.22524i
\(586\) −21.7156 3.12223i −0.897062 0.128978i
\(587\) 2.03095 14.1256i 0.0838264 0.583025i −0.904008 0.427516i \(-0.859389\pi\)
0.987834 0.155510i \(-0.0497020\pi\)
\(588\) −5.48463 + 5.94163i −0.226182 + 0.245029i
\(589\) 2.43894 2.11335i 0.100495 0.0870791i
\(590\) −0.561804 + 3.39200i −0.0231291 + 0.139647i
\(591\) 0.964786 + 2.30133i 0.0396860 + 0.0946640i
\(592\) 2.69110 + 0.790178i 0.110603 + 0.0324761i
\(593\) −30.9210 + 35.6848i −1.26977 + 1.46540i −0.449658 + 0.893201i \(0.648454\pi\)
−0.820117 + 0.572196i \(0.806091\pi\)
\(594\) 1.88202 7.78917i 0.0772203 0.319593i
\(595\) 0.218792 0.134101i 0.00896958 0.00549760i
\(596\) 0.816379 + 5.67804i 0.0334402 + 0.232582i
\(597\) 19.9514 + 3.51164i 0.816556 + 0.143722i
\(598\) 19.8978 + 7.38154i 0.813681 + 0.301854i
\(599\) 10.1000i 0.412676i −0.978481 0.206338i \(-0.933845\pi\)
0.978481 0.206338i \(-0.0661546\pi\)
\(600\) 3.00454 + 8.12236i 0.122660 + 0.331594i
\(601\) −2.79191 + 6.11343i −0.113884 + 0.249372i −0.957988 0.286808i \(-0.907406\pi\)
0.844104 + 0.536180i \(0.180133\pi\)
\(602\) −5.44659 + 1.59926i −0.221987 + 0.0651811i
\(603\) 28.8861 16.0951i 1.17633 0.655441i
\(604\) −8.59833 2.52470i −0.349861 0.102728i
\(605\) 0.411307 19.2744i 0.0167220 0.783616i
\(606\) 1.27348 + 4.90193i 0.0517318 + 0.199127i
\(607\) −27.5224 + 23.8483i −1.11710 + 0.967972i −0.999685 0.0251109i \(-0.992006\pi\)
−0.117415 + 0.993083i \(0.537461\pi\)
\(608\) 0.242773 0.377763i 0.00984576 0.0153203i
\(609\) −3.13954 + 9.56913i −0.127221 + 0.387761i
\(610\) 6.14773 6.79630i 0.248914 0.275174i
\(611\) −18.9994 + 29.5637i −0.768634 + 1.19602i
\(612\) −0.210580 + 0.0805995i −0.00851219 + 0.00325804i
\(613\) −20.2525 44.3468i −0.817992 1.79115i −0.568288 0.822829i \(-0.692394\pi\)
−0.249703 0.968322i \(-0.580333\pi\)
\(614\) −13.5759 21.1245i −0.547879 0.852516i
\(615\) −20.9436 + 11.9481i −0.844529 + 0.481793i
\(616\) 1.54205 1.77962i 0.0621310 0.0717030i
\(617\) 3.58628 + 12.2137i 0.144378 + 0.491707i 0.999650 0.0264735i \(-0.00842778\pi\)
−0.855271 + 0.518180i \(0.826610\pi\)
\(618\) −24.8491 17.0961i −0.999579 0.687707i
\(619\) −20.2238 + 2.90775i −0.812864 + 0.116872i −0.536196 0.844093i \(-0.680139\pi\)
−0.276668 + 0.960966i \(0.589230\pi\)
\(620\) 8.97454 13.3305i 0.360426 0.535366i
\(621\) 4.06644 24.5859i 0.163180 0.986596i
\(622\) 27.5697i 1.10544i
\(623\) 1.84856 + 12.8570i 0.0740610 + 0.515105i
\(624\) 4.34445 6.31464i 0.173917 0.252788i
\(625\) 12.2860 21.7728i 0.491442 0.870911i
\(626\) 0.0716998 0.0827460i 0.00286570 0.00330719i
\(627\) 1.07486 + 0.532306i 0.0429260 + 0.0212582i
\(628\) 14.9250 9.59172i 0.595572 0.382751i
\(629\) 0.191750 0.0875694i 0.00764559 0.00349162i
\(630\) 9.98023 + 2.30511i 0.397622 + 0.0918378i
\(631\) −17.6051 + 27.3940i −0.700847 + 1.09054i 0.290193 + 0.956968i \(0.406281\pi\)
−0.991039 + 0.133570i \(0.957356\pi\)
\(632\) −8.58537 1.23439i −0.341508 0.0491014i
\(633\) 41.2778 + 13.5429i 1.64064 + 0.538280i
\(634\) 15.5276 + 9.97900i 0.616681 + 0.396317i
\(635\) −2.61934 21.4587i −0.103945 0.851563i
\(636\) 4.39181 + 16.9051i 0.174147 + 0.670330i
\(637\) −11.1692 17.3797i −0.442542 0.688608i
\(638\) −1.65447 + 5.63461i −0.0655011 + 0.223076i
\(639\) −10.3086 18.5009i −0.407800 0.731886i
\(640\) 0.675603 2.13156i 0.0267056 0.0842574i
\(641\) 9.15806 20.0534i 0.361722 0.792060i −0.638035 0.770007i \(-0.720253\pi\)
0.999757 0.0220528i \(-0.00702020\pi\)
\(642\) 0.937007 29.8068i 0.0369807 1.17638i
\(643\) −1.63341 −0.0644152 −0.0322076 0.999481i \(-0.510254\pi\)
−0.0322076 + 0.999481i \(0.510254\pi\)
\(644\) 4.37811 5.87002i 0.172522 0.231311i
\(645\) −10.3691 9.98957i −0.408281 0.393339i
\(646\) −0.00480313 0.0334065i −0.000188977 0.00131436i
\(647\) −7.93010 + 17.3645i −0.311765 + 0.682669i −0.999044 0.0437243i \(-0.986078\pi\)
0.687279 + 0.726393i \(0.258805\pi\)
\(648\) −8.24941 3.59823i −0.324067 0.141352i
\(649\) 1.79207 + 1.55284i 0.0703450 + 0.0609543i
\(650\) −22.0155 + 2.21175i −0.863520 + 0.0867518i
\(651\) −7.34861 17.5288i −0.288015 0.687009i
\(652\) 7.73141 3.53082i 0.302785 0.138277i
\(653\) −13.9775 16.1309i −0.546983 0.631252i 0.413195 0.910643i \(-0.364413\pi\)
−0.960177 + 0.279391i \(0.909867\pi\)
\(654\) −18.4798 17.0584i −0.722618 0.667038i
\(655\) −23.3920 + 25.8598i −0.914003 + 1.01043i
\(656\) 6.16234 + 0.886011i 0.240599 + 0.0345929i
\(657\) −27.1981 + 20.7254i −1.06110 + 0.808575i
\(658\) 7.94073 + 9.16409i 0.309562 + 0.357253i
\(659\) 8.73973 + 19.1373i 0.340452 + 0.745485i 0.999981 0.00619385i \(-0.00197158\pi\)
−0.659529 + 0.751679i \(0.729244\pi\)
\(660\) 5.85892 + 1.16061i 0.228058 + 0.0451768i
\(661\) 2.85263 9.71516i 0.110954 0.377876i −0.885230 0.465154i \(-0.845999\pi\)
0.996184 + 0.0872785i \(0.0278170\pi\)
\(662\) −0.680280 + 0.785085i −0.0264398 + 0.0305132i
\(663\) −0.0640277 0.572511i −0.00248663 0.0222345i
\(664\) −4.81090 2.19707i −0.186699 0.0852627i
\(665\) −0.666520 + 1.38074i −0.0258466 + 0.0535426i
\(666\) 7.90846 + 2.87294i 0.306447 + 0.111324i
\(667\) −3.85046 + 17.8518i −0.149090 + 0.691224i
\(668\) −12.2345 −0.473368
\(669\) 0.0989075 3.14631i 0.00382398 0.121643i
\(670\) 12.8798 + 21.0140i 0.497590 + 0.811840i
\(671\) −1.78066 6.06437i −0.0687416 0.234112i
\(672\) −1.66827 2.05218i −0.0643549 0.0791646i
\(673\) −1.67119 + 5.69154i −0.0644196 + 0.219393i −0.985411 0.170189i \(-0.945562\pi\)
0.920992 + 0.389582i \(0.127380\pi\)
\(674\) −23.3300 + 14.9933i −0.898637 + 0.577519i
\(675\) 7.46533 + 24.8851i 0.287341 + 0.957828i
\(676\) 4.31094 + 4.97509i 0.165805 + 0.191350i
\(677\) −9.44586 + 14.6980i −0.363034 + 0.564892i −0.973938 0.226813i \(-0.927170\pi\)
0.610905 + 0.791704i \(0.290806\pi\)
\(678\) 5.24319 15.9809i 0.201364 0.613743i
\(679\) −1.04254 + 7.25103i −0.0400090 + 0.278269i
\(680\) −0.0665378 0.154329i −0.00255161 0.00591823i
\(681\) 11.8738 + 19.8188i 0.455006 + 0.759457i
\(682\) −4.60408 10.0815i −0.176299 0.386042i
\(683\) −14.1226 + 9.07606i −0.540387 + 0.347286i −0.782190 0.623040i \(-0.785897\pi\)
0.241803 + 0.970325i \(0.422261\pi\)
\(684\) 0.798063 1.08530i 0.0305147 0.0414976i
\(685\) −12.5151 + 3.38647i −0.478177 + 0.129390i
\(686\) −17.0953 + 5.01962i −0.652700 + 0.191650i
\(687\) −19.8510 + 28.8533i −0.757362 + 1.10082i
\(688\) 0.529070 + 3.67977i 0.0201706 + 0.140290i
\(689\) −44.6250 −1.70008
\(690\) 18.4352 + 2.26778i 0.701817 + 0.0863328i
\(691\) 48.2189 1.83433 0.917166 0.398505i \(-0.130471\pi\)
0.917166 + 0.398505i \(0.130471\pi\)
\(692\) −2.39213 16.6376i −0.0909352 0.632468i
\(693\) 4.95235 5.03775i 0.188124 0.191368i
\(694\) −15.1146 + 4.43805i −0.573743 + 0.168466i
\(695\) 4.52177 + 16.7107i 0.171521 + 0.633873i
\(696\) 5.91049 + 2.92706i 0.224037 + 0.110950i
\(697\) 0.393639 0.252977i 0.0149102 0.00958217i
\(698\) 5.45177 + 11.9377i 0.206353 + 0.451849i
\(699\) 19.4736 11.6670i 0.736559 0.441288i
\(700\) −1.40791 + 7.50372i −0.0532141 + 0.283614i
\(701\) −2.27772 + 15.8419i −0.0860282 + 0.598340i 0.900513 + 0.434829i \(0.143191\pi\)
−0.986542 + 0.163511i \(0.947718\pi\)
\(702\) 14.1975 18.0879i 0.535850 0.682684i
\(703\) −0.680908 + 1.05951i −0.0256809 + 0.0399603i
\(704\) −1.00990 1.16549i −0.0380621 0.0439260i
\(705\) −10.2094 + 29.0126i −0.384508 + 1.09268i
\(706\) −24.9727 + 16.0490i −0.939859 + 0.604011i
\(707\) −1.25790 + 4.28401i −0.0473081 + 0.161117i
\(708\) 2.06654 1.67994i 0.0776653 0.0631361i
\(709\) 8.89931 + 30.3083i 0.334220 + 1.13825i 0.939589 + 0.342305i \(0.111208\pi\)
−0.605368 + 0.795945i \(0.706974\pi\)
\(710\) 13.4590 8.24925i 0.505108 0.309589i
\(711\) −25.4726 5.31360i −0.955299 0.199275i
\(712\) 8.50675 0.318804
\(713\) −16.5713 30.2212i −0.620599 1.13179i
\(714\) −0.195766 0.0344568i −0.00732637 0.00128951i
\(715\) −6.63394 + 13.7426i −0.248095 + 0.513943i
\(716\) −9.76313 4.45867i −0.364865 0.166628i
\(717\) −14.3868 + 1.60898i −0.537286 + 0.0600884i
\(718\) 24.6651 28.4650i 0.920494 1.06231i
\(719\) 1.32460 4.51118i 0.0493993 0.168239i −0.931099 0.364767i \(-0.881149\pi\)
0.980498 + 0.196528i \(0.0629668\pi\)
\(720\) 2.42446 6.25476i 0.0903542 0.233101i
\(721\) −11.0460 24.1873i −0.411374 0.900782i
\(722\) −12.3103 14.2069i −0.458142 0.528724i
\(723\) −24.1023 22.2484i −0.896373 0.827429i
\(724\) −4.96996 0.714572i −0.184707 0.0265569i
\(725\) −4.57991 18.4807i −0.170094 0.686357i
\(726\) −10.1290 + 10.9730i −0.375922 + 0.407246i
\(727\) 23.5744 + 27.2063i 0.874325 + 1.00902i 0.999857 + 0.0169347i \(0.00539074\pi\)
−0.125532 + 0.992090i \(0.540064\pi\)
\(728\) 6.14646 2.80699i 0.227803 0.104034i
\(729\) −24.0213 12.3278i −0.889680 0.456586i
\(730\) −16.2759 19.6137i −0.602396 0.725935i
\(731\) 0.211166 + 0.182976i 0.00781025 + 0.00676762i
\(732\) −7.05465 + 0.788969i −0.260747 + 0.0291611i
\(733\) −0.546364 + 1.19637i −0.0201804 + 0.0441889i −0.919454 0.393198i \(-0.871369\pi\)
0.899273 + 0.437387i \(0.144096\pi\)
\(734\) 0.319039 + 2.21897i 0.0117760 + 0.0819036i
\(735\) −13.0212 12.5447i −0.480295 0.462717i
\(736\) −3.39714 3.38518i −0.125220 0.124779i
\(737\) 16.9985 0.626146
\(738\) 18.2836 + 3.81396i 0.673028 + 0.140394i
\(739\) −4.76050 + 10.4240i −0.175118 + 0.383455i −0.976756 0.214355i \(-0.931235\pi\)
0.801638 + 0.597810i \(0.203962\pi\)
\(740\) −1.89487 + 5.97841i −0.0696568 + 0.219771i
\(741\) 2.17109 + 2.67071i 0.0797570 + 0.0981111i
\(742\) −4.33806 + 14.7741i −0.159255 + 0.542374i
\(743\) −22.8197 35.5081i −0.837173 1.30267i −0.951008 0.309167i \(-0.899950\pi\)
0.113835 0.993500i \(-0.463687\pi\)
\(744\) −12.0478 + 3.12994i −0.441695 + 0.114749i
\(745\) −12.7325 + 1.55419i −0.466484 + 0.0569410i
\(746\) 0.693949 + 0.445974i 0.0254073 + 0.0163283i
\(747\) −13.9902 7.48470i −0.511875 0.273851i
\(748\) −0.114728 0.0164954i −0.00419487 0.000603131i
\(749\) 14.2134 22.1164i 0.519345 0.808117i
\(750\) −18.3013 + 6.32935i −0.668271 + 0.231115i
\(751\) 15.7618 7.19819i 0.575158 0.262666i −0.106529 0.994310i \(-0.533974\pi\)
0.681687 + 0.731644i \(0.261247\pi\)
\(752\) 6.68065 4.29339i 0.243618 0.156564i
\(753\) 0.584010 1.17927i 0.0212825 0.0429749i
\(754\) −11.0352 + 12.7353i −0.401879 + 0.463793i
\(755\) 6.05430 19.1016i 0.220339 0.695180i
\(756\) −4.60823 6.45874i −0.167600 0.234902i
\(757\) −4.35875 30.3158i −0.158422 1.10185i −0.901543 0.432689i \(-0.857565\pi\)
0.743122 0.669156i \(-0.233344\pi\)
\(758\) 4.49623i 0.163311i
\(759\) 7.97761 10.0229i 0.289569 0.363807i
\(760\) 0.832929 + 0.560755i 0.0302135 + 0.0203407i
\(761\) 3.43249 0.493518i 0.124428 0.0178900i −0.0798196 0.996809i \(-0.525434\pi\)
0.204247 + 0.978919i \(0.434525\pi\)
\(762\) −9.49130 + 13.7956i −0.343833 + 0.499761i
\(763\) −6.24632 21.2730i −0.226132 0.770135i
\(764\) −5.91788 + 6.82959i −0.214101 + 0.247086i
\(765\) −0.170139 0.474609i −0.00615139 0.0171595i
\(766\) −16.1377 25.1108i −0.583079 0.907288i
\(767\) 2.82663 + 6.18947i 0.102064 + 0.223489i
\(768\) −1.48580 + 0.890172i −0.0536141 + 0.0321213i
\(769\) 9.85737 15.3384i 0.355466 0.553115i −0.616763 0.787149i \(-0.711556\pi\)
0.972228 + 0.234034i \(0.0751926\pi\)
\(770\) 3.90488 + 3.53224i 0.140722 + 0.127293i
\(771\) −43.8532 14.3878i −1.57934 0.518166i
\(772\) 9.73466 15.1474i 0.350358 0.545168i
\(773\) 17.7827 15.4088i 0.639599 0.554216i −0.273542