Properties

Label 507.2.t.b.4.9
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.805348 + 0.0324544i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.34598 - 0.108659i) q^{4} +(3.20699 + 1.21625i) q^{5} +(-0.255235 + 0.764522i) q^{6} +(-0.483860 - 1.13566i) q^{7} +(-2.68071 - 0.325497i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(0.805348 + 0.0324544i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.34598 - 0.108659i) q^{4} +(3.20699 + 1.21625i) q^{5} +(-0.255235 + 0.764522i) q^{6} +(-0.483860 - 1.13566i) q^{7} +(-2.68071 - 0.325497i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(2.54327 + 1.08359i) q^{10} +(2.77501 + 4.38834i) q^{11} +(0.478845 - 1.26261i) q^{12} +(3.01421 + 1.97851i) q^{13} +(-0.352819 - 0.930306i) q^{14} +(-2.06047 + 2.74199i) q^{15} +(0.517408 + 0.0840871i) q^{16} +(-5.08545 + 2.16671i) q^{17} +(-0.663327 - 0.457861i) q^{18} +(4.80489 - 2.77410i) q^{19} +(-4.18439 - 1.98552i) q^{20} +(1.22544 - 0.148796i) q^{21} +(2.09243 + 3.62420i) q^{22} +(-1.90116 + 3.29291i) q^{23} +(1.05847 - 2.48431i) q^{24} +(5.06296 + 4.48540i) q^{25} +(2.36328 + 1.69122i) q^{26} +(0.748511 - 0.663123i) q^{27} +(0.527867 + 1.58116i) q^{28} +(-0.131184 + 3.25530i) q^{29} +(-1.74839 + 2.14139i) q^{30} +(-2.50702 - 2.82984i) q^{31} +(5.70561 + 1.16481i) q^{32} +(-4.98713 + 1.44454i) q^{33} +(-4.16587 + 1.57991i) q^{34} +(-0.170485 - 4.23055i) q^{35} +(1.07954 + 0.811219i) q^{36} +(-8.92640 + 1.82234i) q^{37} +(3.95964 - 2.07818i) q^{38} +(-2.73900 + 2.34475i) q^{39} +(-8.20112 - 4.30428i) q^{40} +(3.60284 + 1.04357i) q^{41} +(0.991737 - 0.0800612i) q^{42} +(0.0693153 - 0.339529i) q^{43} +(-3.25829 - 6.20815i) q^{44} +(-2.06047 - 2.74199i) q^{45} +(-1.63797 + 2.59024i) q^{46} +(7.76987 - 5.36316i) q^{47} +(-0.224719 + 0.473586i) q^{48} +(3.79346 - 3.94941i) q^{49} +(3.93188 + 3.77662i) q^{50} +(-0.666300 - 5.48748i) q^{51} +(-3.84210 - 2.99056i) q^{52} +(-0.910009 + 7.49460i) q^{53} +(0.624333 - 0.509752i) q^{54} +(3.56213 + 17.4485i) q^{55} +(0.927434 + 3.20187i) q^{56} +(1.32777 + 5.38699i) q^{57} +(-0.211298 + 2.61739i) q^{58} +(-1.35922 - 8.36361i) q^{59} +(3.07130 - 3.46678i) q^{60} +(6.36764 - 4.78497i) q^{61} +(-1.92718 - 2.36037i) q^{62} +(-0.198018 + 1.21846i) q^{63} +(3.53927 + 0.872352i) q^{64} +(7.26019 + 10.0111i) q^{65} +(-4.06326 + 1.00150i) q^{66} +(-0.716692 - 8.87782i) q^{67} +(7.08035 - 2.36377i) q^{68} +(-2.63396 - 2.74225i) q^{69} -3.41260i q^{70} +(6.04540 - 5.80668i) q^{71} +(2.09174 + 1.70785i) q^{72} +(-0.437205 + 0.833024i) q^{73} +(-7.24801 + 1.17792i) q^{74} +(-5.71691 + 3.61515i) q^{75} +(-6.76873 + 3.21180i) q^{76} +(3.64094 - 5.27482i) q^{77} +(-2.28195 + 1.79945i) q^{78} +(-5.43313 - 7.87125i) q^{79} +(1.55705 + 0.898965i) q^{80} +(0.428693 + 0.903450i) q^{81} +(2.86767 + 0.957368i) q^{82} +(3.25337 - 13.1995i) q^{83} +(-1.66559 + 0.0671210i) q^{84} +(-18.9442 + 0.763426i) q^{85} +(0.0668422 - 0.271189i) q^{86} +(-3.09028 - 1.03169i) q^{87} +(-6.01062 - 12.6671i) q^{88} +(-9.38692 - 5.41954i) q^{89} +(-1.57041 - 2.27513i) q^{90} +(0.788462 - 4.38045i) q^{91} +(2.91673 - 4.22562i) q^{92} +(3.41560 - 1.62072i) q^{93} +(6.43151 - 4.06704i) q^{94} +(18.7832 - 3.05257i) q^{95} +(-2.70622 + 5.15627i) q^{96} +(1.58439 + 1.29362i) q^{97} +(3.18324 - 3.05754i) q^{98} -5.19213i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.805348 + 0.0324544i 0.569467 + 0.0229487i 0.323330 0.946286i \(-0.395198\pi\)
0.246137 + 0.969235i \(0.420839\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −1.34598 0.108659i −0.672991 0.0543295i
\(5\) 3.20699 + 1.21625i 1.43421 + 0.543924i 0.944660 0.328051i \(-0.106392\pi\)
0.489550 + 0.871975i \(0.337161\pi\)
\(6\) −0.255235 + 0.764522i −0.104199 + 0.312115i
\(7\) −0.483860 1.13566i −0.182882 0.429240i 0.803154 0.595771i \(-0.203154\pi\)
−0.986036 + 0.166532i \(0.946743\pi\)
\(8\) −2.68071 0.325497i −0.947774 0.115081i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 2.54327 + 1.08359i 0.804253 + 0.342660i
\(11\) 2.77501 + 4.38834i 0.836699 + 1.32313i 0.944349 + 0.328944i \(0.106693\pi\)
−0.107651 + 0.994189i \(0.534333\pi\)
\(12\) 0.478845 1.26261i 0.138231 0.364484i
\(13\) 3.01421 + 1.97851i 0.835993 + 0.548741i
\(14\) −0.352819 0.930306i −0.0942948 0.248635i
\(15\) −2.06047 + 2.74199i −0.532011 + 0.707979i
\(16\) 0.517408 + 0.0840871i 0.129352 + 0.0210218i
\(17\) −5.08545 + 2.16671i −1.23340 + 0.525503i −0.907561 0.419921i \(-0.862058\pi\)
−0.325841 + 0.945425i \(0.605647\pi\)
\(18\) −0.663327 0.457861i −0.156348 0.107919i
\(19\) 4.80489 2.77410i 1.10232 0.636423i 0.165488 0.986212i \(-0.447080\pi\)
0.936829 + 0.349789i \(0.113747\pi\)
\(20\) −4.18439 1.98552i −0.935659 0.443976i
\(21\) 1.22544 0.148796i 0.267413 0.0324699i
\(22\) 2.09243 + 3.62420i 0.446108 + 0.772682i
\(23\) −1.90116 + 3.29291i −0.396420 + 0.686619i −0.993281 0.115725i \(-0.963081\pi\)
0.596862 + 0.802344i \(0.296414\pi\)
\(24\) 1.05847 2.48431i 0.216058 0.507108i
\(25\) 5.06296 + 4.48540i 1.01259 + 0.897079i
\(26\) 2.36328 + 1.69122i 0.463478 + 0.331675i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) 0.527867 + 1.58116i 0.0997576 + 0.298810i
\(29\) −0.131184 + 3.25530i −0.0243603 + 0.604494i 0.940199 + 0.340627i \(0.110639\pi\)
−0.964559 + 0.263868i \(0.915002\pi\)
\(30\) −1.74839 + 2.14139i −0.319210 + 0.390962i
\(31\) −2.50702 2.82984i −0.450273 0.508253i 0.478914 0.877862i \(-0.341030\pi\)
−0.929188 + 0.369608i \(0.879492\pi\)
\(32\) 5.70561 + 1.16481i 1.00862 + 0.205911i
\(33\) −4.98713 + 1.44454i −0.868148 + 0.251462i
\(34\) −4.16587 + 1.57991i −0.714441 + 0.270952i
\(35\) −0.170485 4.23055i −0.0288173 0.715094i
\(36\) 1.07954 + 0.811219i 0.179923 + 0.135203i
\(37\) −8.92640 + 1.82234i −1.46749 + 0.299591i −0.866304 0.499517i \(-0.833511\pi\)
−0.601188 + 0.799108i \(0.705306\pi\)
\(38\) 3.95964 2.07818i 0.642339 0.337125i
\(39\) −2.73900 + 2.34475i −0.438592 + 0.375461i
\(40\) −8.20112 4.30428i −1.29671 0.680566i
\(41\) 3.60284 + 1.04357i 0.562668 + 0.162979i 0.547350 0.836904i \(-0.315637\pi\)
0.0153183 + 0.999883i \(0.495124\pi\)
\(42\) 0.991737 0.0800612i 0.153028 0.0123537i
\(43\) 0.0693153 0.339529i 0.0105705 0.0517777i −0.974163 0.225845i \(-0.927486\pi\)
0.984734 + 0.174067i \(0.0556909\pi\)
\(44\) −3.25829 6.20815i −0.491206 0.935914i
\(45\) −2.06047 2.74199i −0.307157 0.408752i
\(46\) −1.63797 + 2.59024i −0.241505 + 0.381910i
\(47\) 7.76987 5.36316i 1.13335 0.782297i 0.154729 0.987957i \(-0.450550\pi\)
0.978623 + 0.205660i \(0.0659342\pi\)
\(48\) −0.224719 + 0.473586i −0.0324354 + 0.0683562i
\(49\) 3.79346 3.94941i 0.541923 0.564202i
\(50\) 3.93188 + 3.77662i 0.556052 + 0.534095i
\(51\) −0.666300 5.48748i −0.0933007 0.768401i
\(52\) −3.84210 2.99056i −0.532803 0.414717i
\(53\) −0.910009 + 7.49460i −0.124999 + 1.02946i 0.786336 + 0.617799i \(0.211975\pi\)
−0.911336 + 0.411664i \(0.864948\pi\)
\(54\) 0.624333 0.509752i 0.0849610 0.0693685i
\(55\) 3.56213 + 17.4485i 0.480317 + 2.35275i
\(56\) 0.927434 + 3.20187i 0.123934 + 0.427868i
\(57\) 1.32777 + 5.38699i 0.175868 + 0.713524i
\(58\) −0.211298 + 2.61739i −0.0277448 + 0.343681i
\(59\) −1.35922 8.36361i −0.176955 1.08885i −0.911806 0.410621i \(-0.865312\pi\)
0.734851 0.678229i \(-0.237252\pi\)
\(60\) 3.07130 3.46678i 0.396503 0.447559i
\(61\) 6.36764 4.78497i 0.815293 0.612653i −0.109128 0.994028i \(-0.534806\pi\)
0.924420 + 0.381375i \(0.124549\pi\)
\(62\) −1.92718 2.36037i −0.244752 0.299767i
\(63\) −0.198018 + 1.21846i −0.0249480 + 0.153511i
\(64\) 3.53927 + 0.872352i 0.442409 + 0.109044i
\(65\) 7.26019 + 10.0111i 0.900516 + 1.24173i
\(66\) −4.06326 + 1.00150i −0.500153 + 0.123277i
\(67\) −0.716692 8.87782i −0.0875578 1.08460i −0.880102 0.474784i \(-0.842526\pi\)
0.792545 0.609814i \(-0.208756\pi\)
\(68\) 7.08035 2.36377i 0.858619 0.286649i
\(69\) −2.63396 2.74225i −0.317092 0.330128i
\(70\) 3.41260i 0.407884i
\(71\) 6.04540 5.80668i 0.717456 0.689126i −0.242224 0.970220i \(-0.577877\pi\)
0.959680 + 0.281094i \(0.0906973\pi\)
\(72\) 2.09174 + 1.70785i 0.246514 + 0.201272i
\(73\) −0.437205 + 0.833024i −0.0511710 + 0.0974981i −0.909699 0.415269i \(-0.863687\pi\)
0.858528 + 0.512767i \(0.171380\pi\)
\(74\) −7.24801 + 1.17792i −0.842564 + 0.136930i
\(75\) −5.71691 + 3.61515i −0.660132 + 0.417442i
\(76\) −6.76873 + 3.21180i −0.776426 + 0.368419i
\(77\) 3.64094 5.27482i 0.414924 0.601121i
\(78\) −2.28195 + 1.79945i −0.258380 + 0.203747i
\(79\) −5.43313 7.87125i −0.611275 0.885585i 0.388075 0.921628i \(-0.373140\pi\)
−0.999350 + 0.0360429i \(0.988525\pi\)
\(80\) 1.55705 + 0.898965i 0.174084 + 0.100507i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) 2.86767 + 0.957368i 0.316681 + 0.105724i
\(83\) 3.25337 13.1995i 0.357104 1.44883i −0.467940 0.883760i \(-0.655004\pi\)
0.825044 0.565068i \(-0.191150\pi\)
\(84\) −1.66559 + 0.0671210i −0.181731 + 0.00732350i
\(85\) −18.9442 + 0.763426i −2.05479 + 0.0828052i
\(86\) 0.0668422 0.271189i 0.00720778 0.0292431i
\(87\) −3.09028 1.03169i −0.331313 0.110608i
\(88\) −6.01062 12.6671i −0.640734 1.35032i
\(89\) −9.38692 5.41954i −0.995012 0.574470i −0.0882430 0.996099i \(-0.528125\pi\)
−0.906769 + 0.421629i \(0.861459\pi\)
\(90\) −1.57041 2.27513i −0.165535 0.239820i
\(91\) 0.788462 4.38045i 0.0826533 0.459196i
\(92\) 2.91673 4.22562i 0.304091 0.440551i
\(93\) 3.41560 1.62072i 0.354182 0.168061i
\(94\) 6.43151 4.06704i 0.663360 0.419483i
\(95\) 18.7832 3.05257i 1.92712 0.313187i
\(96\) −2.70622 + 5.15627i −0.276203 + 0.526260i
\(97\) 1.58439 + 1.29362i 0.160871 + 0.131347i 0.709462 0.704744i \(-0.248938\pi\)
−0.548591 + 0.836091i \(0.684836\pi\)
\(98\) 3.18324 3.05754i 0.321555 0.308858i
\(99\) 5.19213i 0.521829i
\(100\) −6.32728 6.58740i −0.632728 0.658740i
\(101\) −1.67315 + 0.558580i −0.166485 + 0.0555808i −0.398689 0.917086i \(-0.630535\pi\)
0.232204 + 0.972667i \(0.425406\pi\)
\(102\) −0.358511 4.44095i −0.0354979 0.439720i
\(103\) −18.1193 + 4.46600i −1.78534 + 0.440048i −0.986807 0.161898i \(-0.948238\pi\)
−0.798537 + 0.601946i \(0.794392\pi\)
\(104\) −7.43623 6.28493i −0.729182 0.616288i
\(105\) 4.11095 + 1.01326i 0.401188 + 0.0988839i
\(106\) −0.976107 + 6.00623i −0.0948079 + 0.583377i
\(107\) −8.27597 10.1362i −0.800068 0.979905i −1.00000 9.56991e-5i \(-0.999970\pi\)
0.199932 0.979810i \(-0.435928\pi\)
\(108\) −1.07954 + 0.811219i −0.103878 + 0.0780596i
\(109\) 8.91470 10.0626i 0.853874 0.963824i −0.145802 0.989314i \(-0.546576\pi\)
0.999675 + 0.0254899i \(0.00811457\pi\)
\(110\) 2.30247 + 14.1677i 0.219532 + 1.35084i
\(111\) 0.733092 9.08098i 0.0695821 0.861928i
\(112\) −0.154859 0.628287i −0.0146328 0.0593676i
\(113\) 4.82549 + 16.6595i 0.453944 + 1.56720i 0.782461 + 0.622699i \(0.213964\pi\)
−0.328517 + 0.944498i \(0.606549\pi\)
\(114\) 0.894488 + 4.38149i 0.0837765 + 0.410364i
\(115\) −10.1020 + 8.24804i −0.942017 + 0.769133i
\(116\) 0.530289 4.36732i 0.0492361 0.405496i
\(117\) −1.49014 3.28321i −0.137763 0.303533i
\(118\) −0.823208 6.77973i −0.0757825 0.624125i
\(119\) 4.92129 + 4.72696i 0.451134 + 0.433320i
\(120\) 6.41603 6.67980i 0.585701 0.609779i
\(121\) −6.84116 + 14.4174i −0.621924 + 1.31068i
\(122\) 5.28346 3.64691i 0.478342 0.330176i
\(123\) −2.00474 + 3.17025i −0.180762 + 0.285852i
\(124\) 3.06691 + 4.08132i 0.275417 + 0.366513i
\(125\) 2.81180 + 5.35743i 0.251495 + 0.479183i
\(126\) −0.199018 + 0.974855i −0.0177299 + 0.0868470i
\(127\) 9.75963 0.787879i 0.866027 0.0699129i 0.360537 0.932745i \(-0.382594\pi\)
0.505491 + 0.862832i \(0.331312\pi\)
\(128\) −8.36473 2.42287i −0.739345 0.214154i
\(129\) 0.306839 + 0.161042i 0.0270157 + 0.0141789i
\(130\) 5.52208 + 8.29805i 0.484318 + 0.727788i
\(131\) −10.2990 + 5.40532i −0.899826 + 0.472265i −0.850174 0.526501i \(-0.823503\pi\)
−0.0496518 + 0.998767i \(0.515811\pi\)
\(132\) 6.86955 1.40243i 0.597918 0.122066i
\(133\) −5.47534 4.11445i −0.474772 0.356768i
\(134\) −0.289062 7.17299i −0.0249711 0.619652i
\(135\) 3.20699 1.21625i 0.276014 0.104678i
\(136\) 14.3379 4.15301i 1.22946 0.356118i
\(137\) 11.9953 + 2.44886i 1.02483 + 0.209220i 0.682905 0.730507i \(-0.260716\pi\)
0.341924 + 0.939728i \(0.388921\pi\)
\(138\) −2.03226 2.29395i −0.172997 0.195274i
\(139\) −7.94595 + 9.73202i −0.673966 + 0.825459i −0.992473 0.122462i \(-0.960921\pi\)
0.318507 + 0.947921i \(0.396819\pi\)
\(140\) −0.230217 + 5.71277i −0.0194569 + 0.482817i
\(141\) 2.98969 + 8.95523i 0.251778 + 0.754166i
\(142\) 5.05710 4.48020i 0.424383 0.375970i
\(143\) −0.317884 + 18.7178i −0.0265828 + 1.56526i
\(144\) −0.392367 0.347607i −0.0326972 0.0289672i
\(145\) −4.37997 + 10.2802i −0.363737 + 0.853722i
\(146\) −0.379138 + 0.656686i −0.0313776 + 0.0543477i
\(147\) 2.73808 + 4.74249i 0.225833 + 0.391154i
\(148\) 12.2128 1.48290i 1.00389 0.121894i
\(149\) 7.81141 + 3.70656i 0.639936 + 0.303653i 0.720874 0.693066i \(-0.243740\pi\)
−0.0809386 + 0.996719i \(0.525792\pi\)
\(150\) −4.72143 + 2.72592i −0.385503 + 0.222570i
\(151\) −5.24758 3.62214i −0.427042 0.294766i 0.335092 0.942186i \(-0.391233\pi\)
−0.762134 + 0.647420i \(0.775848\pi\)
\(152\) −13.7835 + 5.87259i −1.11799 + 0.476330i
\(153\) 5.45620 + 0.886718i 0.441107 + 0.0716869i
\(154\) 3.10342 4.12990i 0.250081 0.332797i
\(155\) −4.59818 12.1244i −0.369335 0.973856i
\(156\) 3.94143 2.85838i 0.315567 0.228853i
\(157\) 4.54493 11.9840i 0.362725 0.956427i −0.622109 0.782930i \(-0.713724\pi\)
0.984834 0.173497i \(-0.0555067\pi\)
\(158\) −4.12011 6.51543i −0.327778 0.518339i
\(159\) −6.94552 2.95921i −0.550815 0.234681i
\(160\) 16.8811 + 10.6750i 1.33457 + 0.843932i
\(161\) 4.65953 + 0.565769i 0.367222 + 0.0445888i
\(162\) 0.315926 + 0.741505i 0.0248215 + 0.0582581i
\(163\) 1.38214 4.14002i 0.108258 0.324271i −0.880448 0.474143i \(-0.842758\pi\)
0.988705 + 0.149872i \(0.0478861\pi\)
\(164\) −4.73596 1.79611i −0.369816 0.140253i
\(165\) −17.7506 1.43298i −1.38188 0.111557i
\(166\) 3.04848 10.5246i 0.236608 0.816865i
\(167\) 21.9907 + 0.886194i 1.70169 + 0.0685758i 0.871956 0.489584i \(-0.162851\pi\)
0.829734 + 0.558160i \(0.188492\pi\)
\(168\) −3.33348 −0.257184
\(169\) 5.17098 + 11.9273i 0.397768 + 0.917486i
\(170\) −15.2815 −1.17204
\(171\) −5.54371 0.223404i −0.423938 0.0170841i
\(172\) −0.130190 + 0.449468i −0.00992690 + 0.0342716i
\(173\) −0.106451 0.00859362i −0.00809332 0.000653361i 0.0764192 0.997076i \(-0.475651\pi\)
−0.0845126 + 0.996422i \(0.526933\pi\)
\(174\) −2.45527 0.931160i −0.186133 0.0705911i
\(175\) 2.64412 7.92012i 0.199877 0.598705i
\(176\) 1.06681 + 2.50390i 0.0804141 + 0.188739i
\(177\) 8.41156 + 1.02135i 0.632251 + 0.0767692i
\(178\) −7.38385 4.66926i −0.553443 0.349976i
\(179\) −1.30689 0.556813i −0.0976815 0.0416182i 0.342573 0.939491i \(-0.388702\pi\)
−0.440255 + 0.897873i \(0.645112\pi\)
\(180\) 2.47542 + 3.91456i 0.184507 + 0.291774i
\(181\) −3.49265 + 9.20936i −0.259607 + 0.684526i 0.740318 + 0.672257i \(0.234675\pi\)
−0.999925 + 0.0122696i \(0.996094\pi\)
\(182\) 0.777151 3.50220i 0.0576063 0.259600i
\(183\) 2.82446 + 7.44749i 0.208790 + 0.550535i
\(184\) 6.16829 8.20851i 0.454733 0.605139i
\(185\) −30.8433 5.01253i −2.26765 0.368528i
\(186\) 2.80335 1.19440i 0.205552 0.0875773i
\(187\) −23.6204 16.3040i −1.72730 1.19227i
\(188\) −11.0409 + 6.37445i −0.805238 + 0.464904i
\(189\) −1.11526 0.529196i −0.0811230 0.0384934i
\(190\) 15.2261 1.84879i 1.10462 0.134125i
\(191\) −7.12161 12.3350i −0.515302 0.892529i −0.999842 0.0177601i \(-0.994346\pi\)
0.484540 0.874769i \(-0.338987\pi\)
\(192\) −1.82260 + 3.15683i −0.131535 + 0.227825i
\(193\) −7.90786 + 18.5604i −0.569220 + 1.33601i 0.347950 + 0.937513i \(0.386878\pi\)
−0.917170 + 0.398496i \(0.869532\pi\)
\(194\) 1.23401 + 1.09323i 0.0885965 + 0.0784896i
\(195\) −11.6358 + 4.18828i −0.833254 + 0.299929i
\(196\) −5.53507 + 4.90365i −0.395362 + 0.350261i
\(197\) −0.834376 2.49926i −0.0594468 0.178065i 0.914625 0.404302i \(-0.132486\pi\)
−0.974072 + 0.226237i \(0.927357\pi\)
\(198\) 0.168508 4.18147i 0.0119753 0.297164i
\(199\) 2.44892 2.99939i 0.173600 0.212621i −0.680475 0.732771i \(-0.738227\pi\)
0.854075 + 0.520150i \(0.174124\pi\)
\(200\) −12.1123 13.6720i −0.856472 0.966758i
\(201\) 8.72670 + 1.78157i 0.615534 + 0.125662i
\(202\) −1.36560 + 0.395551i −0.0960832 + 0.0278308i
\(203\) 3.76040 1.42613i 0.263928 0.100095i
\(204\) 0.300565 + 7.45845i 0.0210438 + 0.522196i
\(205\) 10.2850 + 7.72868i 0.718336 + 0.539795i
\(206\) −14.7373 + 3.00863i −1.02679 + 0.209621i
\(207\) 3.36679 1.76703i 0.234008 0.122817i
\(208\) 1.39321 + 1.27716i 0.0966019 + 0.0885548i
\(209\) 25.5073 + 13.3873i 1.76438 + 0.926018i
\(210\) 3.27786 + 0.949445i 0.226194 + 0.0655179i
\(211\) 7.59534 0.613159i 0.522885 0.0422116i 0.183793 0.982965i \(-0.441162\pi\)
0.339092 + 0.940753i \(0.389880\pi\)
\(212\) 2.03921 9.98872i 0.140054 0.686028i
\(213\) 3.89549 + 7.42223i 0.266914 + 0.508563i
\(214\) −6.33607 8.43178i −0.433125 0.576385i
\(215\) 0.635246 1.00456i 0.0433234 0.0685105i
\(216\) −2.22238 + 1.53400i −0.151214 + 0.104376i
\(217\) −2.00069 + 4.21637i −0.135816 + 0.286226i
\(218\) 7.50602 7.81459i 0.508371 0.529271i
\(219\) −0.678497 0.651705i −0.0458486 0.0440382i
\(220\) −2.89863 23.8724i −0.195426 1.60948i
\(221\) −19.6155 3.53070i −1.31948 0.237501i
\(222\) 0.885113 7.28956i 0.0594049 0.489243i
\(223\) −9.79428 + 7.99679i −0.655874 + 0.535504i −0.900908 0.434010i \(-0.857098\pi\)
0.245034 + 0.969514i \(0.421201\pi\)
\(224\) −1.43789 7.04325i −0.0960731 0.470597i
\(225\) −1.88188 6.49699i −0.125458 0.433133i
\(226\) 3.34553 + 13.5733i 0.222541 + 0.902885i
\(227\) −0.484078 + 5.99638i −0.0321294 + 0.397994i 0.960626 + 0.277843i \(0.0896196\pi\)
−0.992756 + 0.120150i \(0.961662\pi\)
\(228\) −1.20181 7.39506i −0.0795921 0.489750i
\(229\) 6.88388 7.77029i 0.454899 0.513475i −0.475653 0.879633i \(-0.657788\pi\)
0.930553 + 0.366157i \(0.119327\pi\)
\(230\) −8.40332 + 6.31469i −0.554099 + 0.416378i
\(231\) 4.05358 + 4.96474i 0.266706 + 0.326656i
\(232\) 1.41126 8.68382i 0.0926536 0.570120i
\(233\) 14.7445 + 3.63420i 0.965945 + 0.238084i 0.690580 0.723256i \(-0.257355\pi\)
0.275365 + 0.961340i \(0.411201\pi\)
\(234\) −1.09352 2.69249i −0.0714859 0.176014i
\(235\) 31.4408 7.74947i 2.05097 0.505520i
\(236\) 0.920704 + 11.4050i 0.0599327 + 0.742400i
\(237\) 9.07207 3.02870i 0.589294 0.196735i
\(238\) 3.80994 + 3.96657i 0.246962 + 0.257114i
\(239\) 19.3611i 1.25237i 0.779675 + 0.626184i \(0.215384\pi\)
−0.779675 + 0.626184i \(0.784616\pi\)
\(240\) −1.29667 + 1.24547i −0.0836998 + 0.0803947i
\(241\) −16.0008 13.0642i −1.03070 0.841540i −0.0431847 0.999067i \(-0.513750\pi\)
−0.987515 + 0.157527i \(0.949648\pi\)
\(242\) −5.97742 + 11.3890i −0.384243 + 0.732115i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −9.09066 + 5.74858i −0.581970 + 0.368015i
\(245\) 16.9691 8.05193i 1.08411 0.514419i
\(246\) −1.71741 + 2.48809i −0.109498 + 0.158635i
\(247\) 19.9716 + 1.14479i 1.27076 + 0.0728410i
\(248\) 5.79947 + 8.40199i 0.368267 + 0.533527i
\(249\) 11.7732 + 6.79724i 0.746094 + 0.430758i
\(250\) 2.09060 + 4.40585i 0.132221 + 0.278651i
\(251\) 21.3336 + 7.12221i 1.34657 + 0.449550i 0.896341 0.443365i \(-0.146215\pi\)
0.450225 + 0.892915i \(0.351344\pi\)
\(252\) 0.398926 1.61850i 0.0251299 0.101956i
\(253\) −19.7261 + 0.794936i −1.24017 + 0.0499772i
\(254\) 7.88547 0.317774i 0.494778 0.0199389i
\(255\) 4.53733 18.4087i 0.284139 1.15280i
\(256\) −13.5731 4.53136i −0.848318 0.283210i
\(257\) −8.69496 18.3242i −0.542377 1.14303i −0.970896 0.239502i \(-0.923016\pi\)
0.428519 0.903533i \(-0.359035\pi\)
\(258\) 0.241886 + 0.139653i 0.0150591 + 0.00869440i
\(259\) 6.38869 + 9.25562i 0.396974 + 0.575116i
\(260\) −8.68429 14.2637i −0.538577 0.884595i
\(261\) 1.85072 2.68124i 0.114557 0.165964i
\(262\) −8.46969 + 4.01892i −0.523259 + 0.248290i
\(263\) 4.15652 2.62842i 0.256302 0.162076i −0.400135 0.916456i \(-0.631037\pi\)
0.656438 + 0.754380i \(0.272063\pi\)
\(264\) 13.8392 2.24910i 0.851746 0.138422i
\(265\) −12.0337 + 22.9283i −0.739225 + 1.40847i
\(266\) −4.27602 3.49126i −0.262180 0.214063i
\(267\) 7.81717 7.50850i 0.478403 0.459512i
\(268\) 12.0273i 0.734682i
\(269\) 10.8898 + 11.3374i 0.663960 + 0.691256i 0.964969 0.262366i \(-0.0845026\pi\)
−0.301008 + 0.953622i \(0.597323\pi\)
\(270\) 2.62222 0.875424i 0.159583 0.0532766i
\(271\) 0.399918 + 4.95387i 0.0242933 + 0.300926i 0.997482 + 0.0709185i \(0.0225930\pi\)
−0.973189 + 0.230008i \(0.926125\pi\)
\(272\) −2.81344 + 0.693452i −0.170590 + 0.0420467i
\(273\) 3.98814 + 1.97605i 0.241373 + 0.119596i
\(274\) 9.58093 + 2.36149i 0.578805 + 0.142663i
\(275\) −5.63361 + 34.6650i −0.339720 + 2.09038i
\(276\) 3.24730 + 3.97722i 0.195464 + 0.239400i
\(277\) −16.6637 + 12.5219i −1.00122 + 0.752370i −0.968987 0.247110i \(-0.920519\pi\)
−0.0322357 + 0.999480i \(0.510263\pi\)
\(278\) −6.71510 + 7.57978i −0.402745 + 0.454605i
\(279\) 0.606454 + 3.73166i 0.0363075 + 0.223409i
\(280\) −0.920010 + 11.3964i −0.0549811 + 0.681063i
\(281\) −0.799529 3.24382i −0.0476959 0.193510i 0.942261 0.334879i \(-0.108696\pi\)
−0.989957 + 0.141369i \(0.954849\pi\)
\(282\) 2.11711 + 7.30910i 0.126072 + 0.435251i
\(283\) 1.16522 + 5.70760i 0.0692649 + 0.339282i 0.999626 0.0273638i \(-0.00871126\pi\)
−0.930361 + 0.366646i \(0.880506\pi\)
\(284\) −8.76794 + 7.15880i −0.520282 + 0.424797i
\(285\) −2.29377 + 18.8909i −0.135871 + 1.11900i
\(286\) −0.863482 + 15.0640i −0.0510588 + 0.890754i
\(287\) −0.558122 4.59655i −0.0329449 0.271326i
\(288\) −4.19978 4.03394i −0.247474 0.237702i
\(289\) 9.39082 9.77688i 0.552401 0.575111i
\(290\) −3.86104 + 8.13697i −0.226728 + 0.477819i
\(291\) −1.68335 + 1.16193i −0.0986797 + 0.0681137i
\(292\) 0.678986 1.07373i 0.0397346 0.0628353i
\(293\) −16.3181 21.7154i −0.953313 1.26863i −0.963230 0.268679i \(-0.913413\pi\)
0.00991672 0.999951i \(-0.496843\pi\)
\(294\) 2.05119 + 3.90822i 0.119628 + 0.227932i
\(295\) 5.81325 28.4752i 0.338460 1.65789i
\(296\) 24.5223 1.97964i 1.42533 0.115064i
\(297\) 4.98713 + 1.44454i 0.289383 + 0.0838208i
\(298\) 6.17061 + 3.23859i 0.357454 + 0.187606i
\(299\) −12.2456 + 6.16406i −0.708180 + 0.356477i
\(300\) 8.08768 4.24474i 0.466942 0.245070i
\(301\) −0.419129 + 0.0855658i −0.0241582 + 0.00493193i
\(302\) −4.10857 3.08739i −0.236422 0.177659i
\(303\) −0.0710263 1.76250i −0.00408036 0.101253i
\(304\) 2.71936 1.03132i 0.155966 0.0591500i
\(305\) 26.2407 7.60070i 1.50254 0.435215i
\(306\) 4.36536 + 0.891195i 0.249551 + 0.0509462i
\(307\) 17.6061 + 19.8732i 1.00483 + 1.13422i 0.990938 + 0.134319i \(0.0428845\pi\)
0.0138948 + 0.999903i \(0.495577\pi\)
\(308\) −5.47380 + 6.70419i −0.311899 + 0.382007i
\(309\) 0.751424 18.6464i 0.0427470 1.06076i
\(310\) −3.30965 9.91361i −0.187975 0.563055i
\(311\) 9.12536 8.08436i 0.517452 0.458422i −0.363523 0.931585i \(-0.618426\pi\)
0.880975 + 0.473163i \(0.156888\pi\)
\(312\) 8.10568 5.39406i 0.458894 0.305378i
\(313\) −14.0361 12.4349i −0.793366 0.702861i 0.165659 0.986183i \(-0.447025\pi\)
−0.959025 + 0.283322i \(0.908563\pi\)
\(314\) 4.04919 9.50379i 0.228509 0.536330i
\(315\) −2.11699 + 3.66674i −0.119279 + 0.206597i
\(316\) 6.45762 + 11.1849i 0.363269 + 0.629201i
\(317\) −31.8210 + 3.86377i −1.78724 + 0.217011i −0.946117 0.323826i \(-0.895031\pi\)
−0.841127 + 0.540837i \(0.818108\pi\)
\(318\) −5.49752 2.60861i −0.308286 0.146283i
\(319\) −14.6494 + 8.45783i −0.820209 + 0.473548i
\(320\) 10.2894 + 7.10227i 0.575196 + 0.397029i
\(321\) 12.0385 5.12914i 0.671926 0.286281i
\(322\) 3.73418 + 0.606863i 0.208098 + 0.0338192i
\(323\) −18.4243 + 24.5183i −1.02516 + 1.36424i
\(324\) −0.478845 1.26261i −0.0266025 0.0701450i
\(325\) 6.38645 + 23.5371i 0.354257 + 1.30560i
\(326\) 1.24747 3.28930i 0.0690908 0.182177i
\(327\) 7.18510 + 11.3623i 0.397337 + 0.628338i
\(328\) −9.31847 3.97023i −0.514526 0.219219i
\(329\) −9.85026 6.22893i −0.543062 0.343412i
\(330\) −14.2489 1.73013i −0.784377 0.0952406i
\(331\) −2.69147 6.31710i −0.147936 0.347219i 0.829482 0.558534i \(-0.188636\pi\)
−0.977418 + 0.211314i \(0.932226\pi\)
\(332\) −5.81322 + 17.4127i −0.319042 + 0.955647i
\(333\) 8.51849 + 3.23064i 0.466810 + 0.177038i
\(334\) 17.6814 + 1.42739i 0.967483 + 0.0781033i
\(335\) 8.49923 29.3427i 0.464363 1.60317i
\(336\) 0.646566 + 0.0260557i 0.0352731 + 0.00142146i
\(337\) −19.7371 −1.07515 −0.537575 0.843216i \(-0.680659\pi\)
−0.537575 + 0.843216i \(0.680659\pi\)
\(338\) 3.77734 + 9.77347i 0.205460 + 0.531607i
\(339\) −17.3443 −0.942014
\(340\) 25.5815 + 1.03090i 1.38735 + 0.0559085i
\(341\) 5.46126 18.8545i 0.295744 1.02103i
\(342\) −4.45737 0.359836i −0.241027 0.0194577i
\(343\) −14.4003 5.46130i −0.777541 0.294883i
\(344\) −0.296330 + 0.887616i −0.0159770 + 0.0478571i
\(345\) −5.11183 11.9979i −0.275212 0.645946i
\(346\) −0.0854513 0.0103757i −0.00459389 0.000557799i
\(347\) −19.5609 12.3695i −1.05008 0.664032i −0.106211 0.994344i \(-0.533872\pi\)
−0.943872 + 0.330311i \(0.892846\pi\)
\(348\) 4.04736 + 1.72442i 0.216961 + 0.0924385i
\(349\) 13.8630 + 21.9225i 0.742067 + 1.17348i 0.979375 + 0.202050i \(0.0647604\pi\)
−0.237308 + 0.971434i \(0.576265\pi\)
\(350\) 2.38648 6.29264i 0.127563 0.336356i
\(351\) 3.56817 0.517856i 0.190455 0.0276411i
\(352\) 10.7216 + 28.2705i 0.571463 + 1.50682i
\(353\) −13.1197 + 17.4591i −0.698291 + 0.929256i −0.999706 0.0242368i \(-0.992284\pi\)
0.301416 + 0.953493i \(0.402541\pi\)
\(354\) 6.74109 + 1.09553i 0.358285 + 0.0582269i
\(355\) 26.4499 11.2693i 1.40382 0.598110i
\(356\) 12.0457 + 8.31458i 0.638423 + 0.440672i
\(357\) −5.90952 + 3.41186i −0.312765 + 0.180575i
\(358\) −1.03443 0.490843i −0.0546713 0.0259419i
\(359\) 15.1951 1.84502i 0.801969 0.0973766i 0.290719 0.956809i \(-0.406106\pi\)
0.511250 + 0.859432i \(0.329183\pi\)
\(360\) 4.63101 + 8.02115i 0.244076 + 0.422752i
\(361\) 5.89131 10.2040i 0.310069 0.537055i
\(362\) −3.11168 + 7.30339i −0.163546 + 0.383858i
\(363\) −11.9449 10.5822i −0.626944 0.555424i
\(364\) −1.53723 + 5.81034i −0.0805728 + 0.304544i
\(365\) −2.41528 + 2.13975i −0.126421 + 0.112000i
\(366\) 2.03297 + 6.08949i 0.106265 + 0.318303i
\(367\) 0.00437954 0.108677i 0.000228610 0.00567290i −0.999071 0.0431022i \(-0.986276\pi\)
0.999299 + 0.0374293i \(0.0119169\pi\)
\(368\) −1.26057 + 1.54392i −0.0657117 + 0.0804822i
\(369\) −2.48733 2.80761i −0.129485 0.146158i
\(370\) −24.6769 5.03783i −1.28289 0.261904i
\(371\) 8.95165 2.59288i 0.464746 0.134615i
\(372\) −4.77345 + 1.81033i −0.247492 + 0.0938612i
\(373\) −0.795867 19.7492i −0.0412084 1.02258i −0.879070 0.476693i \(-0.841835\pi\)
0.837861 0.545883i \(-0.183806\pi\)
\(374\) −18.4935 13.8970i −0.956277 0.718596i
\(375\) −5.92820 + 1.21025i −0.306131 + 0.0624971i
\(376\) −22.5745 + 11.8480i −1.16419 + 0.611013i
\(377\) −6.83607 + 9.55263i −0.352076 + 0.491985i
\(378\) −0.880996 0.462382i −0.0453135 0.0237824i
\(379\) −7.98378 2.31253i −0.410099 0.118787i 0.0667545 0.997769i \(-0.478736\pi\)
−0.476853 + 0.878983i \(0.658223\pi\)
\(380\) −25.6136 + 2.06774i −1.31395 + 0.106073i
\(381\) −1.95853 + 9.59350i −0.100338 + 0.491490i
\(382\) −5.33505 10.1651i −0.272965 0.520092i
\(383\) 13.6972 + 18.2277i 0.699895 + 0.931391i 0.999745 0.0225951i \(-0.00719286\pi\)
−0.299849 + 0.953987i \(0.596936\pi\)
\(384\) 4.65443 7.36039i 0.237520 0.375608i
\(385\) 18.0920 12.4880i 0.922052 0.636447i
\(386\) −6.97095 + 14.6910i −0.354812 + 0.747750i
\(387\) −0.240051 + 0.249920i −0.0122025 + 0.0127041i
\(388\) −1.99200 1.91335i −0.101129 0.0971354i
\(389\) 0.540248 + 4.44934i 0.0273916 + 0.225590i 0.999976 0.00696082i \(-0.00221572\pi\)
−0.972584 + 0.232551i \(0.925293\pi\)
\(390\) −9.50677 + 2.99539i −0.481394 + 0.151677i
\(391\) 2.53349 20.8652i 0.128124 1.05520i
\(392\) −11.4547 + 9.35247i −0.578549 + 0.472371i
\(393\) −2.32655 11.3962i −0.117359 0.574863i
\(394\) −0.590851 2.03985i −0.0297666 0.102766i
\(395\) −7.85058 31.8511i −0.395006 1.60260i
\(396\) −0.564171 + 6.98851i −0.0283507 + 0.351186i
\(397\) 1.34758 + 8.29198i 0.0676330 + 0.416163i 0.998685 + 0.0512750i \(0.0163285\pi\)
−0.931052 + 0.364888i \(0.881107\pi\)
\(398\) 2.06958 2.33607i 0.103739 0.117097i
\(399\) 5.47534 4.11445i 0.274110 0.205980i
\(400\) 2.24246 + 2.74651i 0.112123 + 0.137326i
\(401\) −1.27861 + 7.86759i −0.0638506 + 0.392889i 0.935379 + 0.353647i \(0.115058\pi\)
−0.999230 + 0.0392420i \(0.987506\pi\)
\(402\) 6.97021 + 1.71800i 0.347643 + 0.0856862i
\(403\) −1.95782 13.4899i −0.0975259 0.671979i
\(404\) 2.31273 0.570036i 0.115063 0.0283604i
\(405\) 0.275990 + 3.41875i 0.0137141 + 0.169879i
\(406\) 3.07471 1.02649i 0.152595 0.0509438i
\(407\) −32.7679 34.1150i −1.62425 1.69102i
\(408\) 14.9272i 0.739007i
\(409\) 23.1694 22.2545i 1.14565 1.10042i 0.151950 0.988388i \(-0.451445\pi\)
0.993705 0.112028i \(-0.0357347\pi\)
\(410\) 8.03218 + 6.55808i 0.396681 + 0.323880i
\(411\) −5.68948 + 10.8404i −0.280642 + 0.534718i
\(412\) 24.8735 4.04233i 1.22543 0.199151i
\(413\) −8.84056 + 5.59043i −0.435015 + 0.275087i
\(414\) 2.76879 1.31381i 0.136078 0.0645700i
\(415\) 26.4874 38.3736i 1.30021 1.88369i
\(416\) 14.8934 + 14.7996i 0.730207 + 0.725611i
\(417\) −7.13708 10.3398i −0.349504 0.506344i
\(418\) 20.1078 + 11.6093i 0.983505 + 0.567827i
\(419\) −0.945039 1.99163i −0.0461682 0.0972973i 0.879056 0.476719i \(-0.158174\pi\)
−0.925224 + 0.379422i \(0.876123\pi\)
\(420\) −5.42317 1.81052i −0.264624 0.0883443i
\(421\) 2.50477 10.1623i 0.122075 0.495278i −0.877793 0.479040i \(-0.840985\pi\)
0.999868 0.0162380i \(-0.00516893\pi\)
\(422\) 6.13679 0.247304i 0.298734 0.0120386i
\(423\) −9.43344 + 0.380155i −0.458670 + 0.0184838i
\(424\) 4.87894 19.7946i 0.236942 0.961312i
\(425\) −35.4660 11.8403i −1.72035 0.574338i
\(426\) 2.89634 + 6.10391i 0.140328 + 0.295735i
\(427\) −8.51515 4.91623i −0.412077 0.237913i
\(428\) 10.0379 + 14.5424i 0.485201 + 0.702935i
\(429\) −17.8903 5.51295i −0.863753 0.266168i
\(430\) 0.544197 0.788405i 0.0262435 0.0380203i
\(431\) −22.4395 + 10.6477i −1.08087 + 0.512879i −0.883970 0.467544i \(-0.845139\pi\)
−0.196901 + 0.980423i \(0.563088\pi\)
\(432\) 0.443046 0.280165i 0.0213161 0.0134795i
\(433\) 26.7111 4.34098i 1.28366 0.208614i 0.519960 0.854191i \(-0.325947\pi\)
0.763696 + 0.645576i \(0.223383\pi\)
\(434\) −1.74809 + 3.33071i −0.0839111 + 0.159879i
\(435\) −8.65570 7.06716i −0.415009 0.338845i
\(436\) −13.0924 + 12.5754i −0.627013 + 0.602254i
\(437\) 21.0961i 1.00916i
\(438\) −0.525276 0.546870i −0.0250986 0.0261305i
\(439\) −21.4103 + 7.14780i −1.02186 + 0.341146i −0.777731 0.628598i \(-0.783629\pi\)
−0.244126 + 0.969744i \(0.578501\pi\)
\(440\) −3.86961 47.9337i −0.184476 2.28515i
\(441\) −5.31703 + 1.31053i −0.253192 + 0.0624061i
\(442\) −15.6827 3.48005i −0.745950 0.165529i
\(443\) 24.7095 + 6.09034i 1.17398 + 0.289361i 0.777620 0.628734i \(-0.216427\pi\)
0.396361 + 0.918095i \(0.370273\pi\)
\(444\) −1.97346 + 12.1432i −0.0936562 + 0.576290i
\(445\) −23.5122 28.7973i −1.11459 1.36512i
\(446\) −8.14734 + 6.12233i −0.385788 + 0.289901i
\(447\) −5.73349 + 6.47177i −0.271185 + 0.306104i
\(448\) −0.721816 4.44151i −0.0341026 0.209842i
\(449\) 0.360040 4.45990i 0.0169914 0.210476i −0.982691 0.185255i \(-0.940689\pi\)
0.999682 0.0252210i \(-0.00802895\pi\)
\(450\) −1.30471 5.29342i −0.0615046 0.249534i
\(451\) 5.41837 + 18.7064i 0.255141 + 0.880849i
\(452\) −4.68482 22.9478i −0.220355 1.07937i
\(453\) 4.93910 4.03265i 0.232059 0.189470i
\(454\) −0.584460 + 4.81346i −0.0274301 + 0.225907i
\(455\) 7.85632 13.0891i 0.368310 0.613626i
\(456\) −1.80592 14.8731i −0.0845702 0.696498i
\(457\) 4.42722 + 4.25240i 0.207097 + 0.198919i 0.789095 0.614271i \(-0.210550\pi\)
−0.581999 + 0.813190i \(0.697729\pi\)
\(458\) 5.79610 6.03438i 0.270834 0.281968i
\(459\) −2.36972 + 4.99408i −0.110609 + 0.233104i
\(460\) 14.4933 10.0040i 0.675756 0.466441i
\(461\) 1.70325 2.69347i 0.0793282 0.125448i −0.803195 0.595716i \(-0.796868\pi\)
0.882524 + 0.470268i \(0.155843\pi\)
\(462\) 3.10342 + 4.12990i 0.144384 + 0.192140i
\(463\) 2.50369 + 4.77039i 0.116356 + 0.221699i 0.936668 0.350218i \(-0.113892\pi\)
−0.820312 + 0.571917i \(0.806200\pi\)
\(464\) −0.341605 + 1.67329i −0.0158586 + 0.0776805i
\(465\) 12.9250 1.04341i 0.599383 0.0483872i
\(466\) 11.7565 + 3.40532i 0.544610 + 0.157748i
\(467\) 2.75395 + 1.44538i 0.127438 + 0.0668844i 0.527237 0.849718i \(-0.323228\pi\)
−0.399800 + 0.916603i \(0.630920\pi\)
\(468\) 1.64895 + 4.58106i 0.0762226 + 0.211760i
\(469\) −9.73542 + 5.10954i −0.449540 + 0.235937i
\(470\) 25.5723 5.22063i 1.17956 0.240810i
\(471\) 10.2464 + 7.69965i 0.472128 + 0.354781i
\(472\) 0.921340 + 22.8628i 0.0424081 + 1.05235i
\(473\) 1.68232 0.638019i 0.0773531 0.0293361i
\(474\) 7.40447 2.14473i 0.340099 0.0985108i
\(475\) 36.7699 + 7.50664i 1.68712 + 0.344428i
\(476\) −6.11034 6.89715i −0.280067 0.316130i
\(477\) 4.77474 5.84799i 0.218620 0.267761i
\(478\) −0.628355 + 15.5925i −0.0287403 + 0.713183i
\(479\) −6.63533 19.8752i −0.303176 0.908123i −0.984384 0.176033i \(-0.943673\pi\)
0.681208 0.732090i \(-0.261455\pi\)
\(480\) −14.9501 + 13.2447i −0.682378 + 0.604534i
\(481\) −30.5116 12.1681i −1.39121 0.554817i
\(482\) −12.4622 11.0405i −0.567637 0.502883i
\(483\) −1.83979 + 4.31815i −0.0837135 + 0.196483i
\(484\) 10.7747 18.6623i 0.489757 0.848285i
\(485\) 3.50777 + 6.07564i 0.159280 + 0.275881i
\(486\) −0.800125 + 0.0971528i −0.0362944 + 0.00440694i
\(487\) 31.5272 + 14.9598i 1.42863 + 0.677895i 0.976789 0.214203i \(-0.0687153\pi\)
0.451843 + 0.892097i \(0.350767\pi\)
\(488\) −18.6273 + 10.7545i −0.843217 + 0.486832i
\(489\) 3.59203 + 2.47940i 0.162437 + 0.112122i
\(490\) 13.9273 5.93388i 0.629173 0.268066i
\(491\) −8.10365 1.31697i −0.365712 0.0594341i −0.0252216 0.999682i \(-0.508029\pi\)
−0.340491 + 0.940248i \(0.610593\pi\)
\(492\) 3.04282 4.04926i 0.137181 0.182555i
\(493\) −6.38615 16.8389i −0.287618 0.758386i
\(494\) 16.0469 + 1.57012i 0.721985 + 0.0706429i
\(495\) 6.31493 16.6511i 0.283835 0.748411i
\(496\) −1.05920 1.67499i −0.0475594 0.0752092i
\(497\) −9.51955 4.05590i −0.427010 0.181932i
\(498\) 9.26090 + 5.85624i 0.414991 + 0.262424i
\(499\) −15.5946 1.89353i −0.698112 0.0847662i −0.236217 0.971700i \(-0.575907\pi\)
−0.461896 + 0.886934i \(0.652831\pi\)
\(500\) −3.20249 7.51653i −0.143220 0.336150i
\(501\) −6.96940 + 20.8759i −0.311370 + 0.932666i
\(502\) 16.9499 + 6.42823i 0.756509 + 0.286906i
\(503\) 14.7283 + 1.18899i 0.656701 + 0.0530144i 0.404326 0.914615i \(-0.367506\pi\)
0.252375 + 0.967629i \(0.418788\pi\)
\(504\) 0.927434 3.20187i 0.0413112 0.142623i
\(505\) −6.04516 0.243612i −0.269006 0.0108406i
\(506\) −15.9122 −0.707384
\(507\) −12.8951 + 1.64843i −0.572690 + 0.0732094i
\(508\) −13.2219 −0.586627
\(509\) 30.8866 + 1.24469i 1.36903 + 0.0551699i 0.713846 0.700303i \(-0.246952\pi\)
0.655180 + 0.755473i \(0.272593\pi\)
\(510\) 4.25157 14.6781i 0.188263 0.649959i
\(511\) 1.15758 + 0.0934495i 0.0512083 + 0.00413396i
\(512\) 5.50129 + 2.08636i 0.243125 + 0.0922052i
\(513\) 1.75694 5.26268i 0.0775708 0.232353i
\(514\) −6.40777 15.0396i −0.282634 0.663367i
\(515\) −63.5401 7.71516i −2.79991 0.339971i
\(516\) −0.395501 0.250100i −0.0174110 0.0110100i
\(517\) 45.0968 + 19.2140i 1.98336 + 0.845029i
\(518\) 4.84474 + 7.66134i 0.212865 + 0.336620i
\(519\) 0.0378709 0.0998573i 0.00166235 0.00438325i
\(520\) −16.2039 29.2000i −0.710586 1.28051i
\(521\) 0.536824 + 1.41549i 0.0235187 + 0.0620137i 0.946261 0.323403i \(-0.104827\pi\)
−0.922743 + 0.385417i \(0.874058\pi\)
\(522\) 1.57749 2.09926i 0.0690451 0.0918823i
\(523\) 17.1774 + 2.79161i 0.751117 + 0.122068i 0.523905 0.851777i \(-0.324475\pi\)
0.227212 + 0.973845i \(0.427039\pi\)
\(524\) 14.4496 6.15639i 0.631233 0.268943i
\(525\) 6.87178 + 4.74324i 0.299909 + 0.207012i
\(526\) 3.43275 1.98190i 0.149675 0.0864149i
\(527\) 18.8807 + 8.95901i 0.822457 + 0.390260i
\(528\) −2.70185 + 0.328064i −0.117583 + 0.0142772i
\(529\) 4.27117 + 7.39788i 0.185703 + 0.321647i
\(530\) −10.4354 + 18.0747i −0.453287 + 0.785116i
\(531\) −3.32127 + 7.79530i −0.144131 + 0.338287i
\(532\) 6.92264 + 6.13292i 0.300134 + 0.265896i
\(533\) 8.79500 + 10.2738i 0.380954 + 0.445008i
\(534\) 6.53923 5.79325i 0.282980 0.250699i
\(535\) −14.2128 42.5724i −0.614471 1.84057i
\(536\) −0.968461 + 24.0321i −0.0418312 + 1.03803i
\(537\) 0.898429 1.10038i 0.0387701 0.0474847i
\(538\) 8.40210 + 9.48401i 0.362240 + 0.408885i
\(539\) 27.8583 + 5.68731i 1.19994 + 0.244970i
\(540\) −4.44871 + 1.28858i −0.191442 + 0.0554518i
\(541\) −19.2641 + 7.30592i −0.828230 + 0.314106i −0.732044 0.681257i \(-0.761434\pi\)
−0.0961857 + 0.995363i \(0.530664\pi\)
\(542\) 0.161298 + 4.00257i 0.00692834 + 0.171925i
\(543\) −7.87404 5.91696i −0.337907 0.253921i
\(544\) −31.5394 + 6.43881i −1.35224 + 0.276062i
\(545\) 40.8280 21.4282i 1.74888 0.917883i
\(546\) 3.14771 + 1.72084i 0.134710 + 0.0736452i
\(547\) −23.2191 12.1863i −0.992777 0.521050i −0.111558 0.993758i \(-0.535584\pi\)
−0.881219 + 0.472708i \(0.843276\pi\)
\(548\) −15.8794 4.59952i −0.678334 0.196482i
\(549\) −7.93927 + 0.640924i −0.338840 + 0.0273540i
\(550\) −5.66206 + 27.7346i −0.241431 + 1.18261i
\(551\) 8.40022 + 16.0053i 0.357861 + 0.681848i
\(552\) 6.16829 + 8.20851i 0.262540 + 0.349377i
\(553\) −6.31020 + 9.97878i −0.268337 + 0.424341i
\(554\) −13.8265 + 9.54371i −0.587430 + 0.405473i
\(555\) 13.3958 28.2310i 0.568619 1.19834i
\(556\) 11.7526 12.2357i 0.498420 0.518910i
\(557\) −9.40994 9.03837i −0.398712 0.382968i 0.466377 0.884586i \(-0.345559\pi\)
−0.865089 + 0.501618i \(0.832738\pi\)
\(558\) 0.367298 + 3.02497i 0.0155490 + 0.128057i
\(559\) 0.880693 0.886272i 0.0372494 0.0374853i
\(560\) 0.267524 2.20326i 0.0113050 0.0931047i
\(561\) 22.2319 18.1518i 0.938631 0.766369i
\(562\) −0.538623 2.63835i −0.0227205 0.111292i
\(563\) −9.28043 32.0398i −0.391123 1.35031i −0.878758 0.477267i \(-0.841627\pi\)
0.487635 0.873048i \(-0.337860\pi\)
\(564\) −3.05101 12.3784i −0.128471 0.521226i
\(565\) −4.78686 + 59.2960i −0.201385 + 2.49460i
\(566\) 0.753167 + 4.63443i 0.0316580 + 0.194799i
\(567\) 0.818587 0.923993i 0.0343774 0.0388041i
\(568\) −18.0960 + 13.5983i −0.759291 + 0.570570i
\(569\) −18.2709 22.3778i −0.765955 0.938125i 0.233458 0.972367i \(-0.424996\pi\)
−0.999414 + 0.0342420i \(0.989098\pi\)
\(570\) −2.46038 + 15.1393i −0.103054 + 0.634117i
\(571\) −17.7602 4.37750i −0.743241 0.183193i −0.150528 0.988606i \(-0.548097\pi\)
−0.592714 + 0.805413i \(0.701943\pi\)
\(572\) 2.46172 25.1593i 0.102930 1.05196i
\(573\) 13.8293 3.40863i 0.577729 0.142397i
\(574\) −0.300304 3.71993i −0.0125345 0.155267i
\(575\) −24.3955 + 8.14442i −1.01736 + 0.339646i
\(576\) −2.52512 2.62892i −0.105213 0.109539i
\(577\) 2.22146i 0.0924807i −0.998930 0.0462404i \(-0.985276\pi\)
0.998930 0.0462404i \(-0.0147240\pi\)
\(578\) 7.88019 7.56902i 0.327773 0.314830i
\(579\) −15.6275 12.7595i −0.649458 0.530266i
\(580\) 7.01239 13.3610i 0.291174 0.554785i
\(581\) −16.5643 + 2.69196i −0.687202 + 0.111681i
\(582\) −1.39339 + 0.881128i −0.0577580 + 0.0365239i
\(583\) −35.4141 + 16.8042i −1.46670 + 0.695959i
\(584\) 1.44317 2.09079i 0.0597186 0.0865174i
\(585\) −0.785644 12.3416i −0.0324824 0.510263i
\(586\) −12.4370 18.0181i −0.513767 0.744320i
\(587\) −11.3065 6.52782i −0.466670 0.269432i 0.248175 0.968715i \(-0.420169\pi\)
−0.714845 + 0.699283i \(0.753503\pi\)
\(588\) −3.17009 6.68082i −0.130732 0.275512i
\(589\) −19.8962 6.64232i −0.819808 0.273692i
\(590\) 5.60583 22.7438i 0.230788 0.936346i
\(591\) 2.63272 0.106095i 0.108296 0.00436417i
\(592\) −4.77183 + 0.192298i −0.196121 + 0.00790341i
\(593\) 0.861297 3.49442i 0.0353692 0.143499i −0.950603 0.310411i \(-0.899533\pi\)
0.985972 + 0.166912i \(0.0533796\pi\)
\(594\) 3.96950 + 1.32521i 0.162870 + 0.0543741i
\(595\) 10.0334 + 21.1448i 0.411327 + 0.866854i
\(596\) −10.1113 5.83774i −0.414174 0.239123i
\(597\) 2.19963 + 3.18672i 0.0900249 + 0.130424i
\(598\) −10.0620 + 4.56679i −0.411466 + 0.186750i
\(599\) 26.2877 38.0844i 1.07409 1.55609i 0.268806 0.963194i \(-0.413371\pi\)
0.805283 0.592891i \(-0.202014\pi\)
\(600\) 16.5021 7.83034i 0.673695 0.319672i
\(601\) −17.1436 + 10.8409i −0.699300 + 0.442211i −0.836236 0.548369i \(-0.815249\pi\)
0.136936 + 0.990580i \(0.456274\pi\)
\(602\) −0.340322 + 0.0553077i −0.0138705 + 0.00225417i
\(603\) −4.13915 + 7.88649i −0.168559 + 0.321163i
\(604\) 6.66957 + 5.44553i 0.271381 + 0.221576i
\(605\) −39.4747 + 37.9160i −1.60488 + 1.54151i
\(606\) 1.42173i 0.0577539i
\(607\) 5.17312 + 5.38579i 0.209971 + 0.218603i 0.817857 0.575421i \(-0.195162\pi\)
−0.607886 + 0.794024i \(0.707982\pi\)
\(608\) 30.6461 10.2312i 1.24287 0.414929i
\(609\) 0.323616 + 4.00870i 0.0131136 + 0.162441i
\(610\) 21.3796 5.26959i 0.865633 0.213359i
\(611\) 34.0311 0.792915i 1.37675 0.0320779i
\(612\) −7.24760 1.78637i −0.292967 0.0722098i
\(613\) 2.71173 16.6859i 0.109526 0.673938i −0.872987 0.487743i \(-0.837820\pi\)
0.982513 0.186195i \(-0.0596157\pi\)
\(614\) 13.5341 + 16.5762i 0.546190 + 0.668962i
\(615\) −10.2850 + 7.72868i −0.414732 + 0.311651i
\(616\) −11.4772 + 12.9551i −0.462431 + 0.521977i
\(617\) −4.64778 28.5990i −0.187113 1.15135i −0.895346 0.445372i \(-0.853071\pi\)
0.708233 0.705979i \(-0.249493\pi\)
\(618\) 1.21032 14.9925i 0.0486861 0.603085i
\(619\) −9.19664 37.3122i −0.369644 1.49970i −0.801628 0.597823i \(-0.796032\pi\)
0.431984 0.901881i \(-0.357814\pi\)
\(620\) 4.87165 + 16.8189i 0.195650 + 0.675462i
\(621\) 0.760563 + 3.72548i 0.0305203 + 0.149498i
\(622\) 7.61147 6.21457i 0.305192 0.249182i
\(623\) −1.61281 + 13.2827i −0.0646158 + 0.532159i
\(624\) −1.61435 + 0.982879i −0.0646256 + 0.0393467i
\(625\) −1.57516 12.9726i −0.0630063 0.518904i
\(626\) −10.9004 10.4699i −0.435666 0.418463i
\(627\) −19.9553 + 20.7757i −0.796939 + 0.829701i
\(628\) −7.41956 + 15.6364i −0.296073 + 0.623960i
\(629\) 41.4463 28.6083i 1.65257 1.14069i
\(630\) −1.82392 + 2.88430i −0.0726666 + 0.114913i
\(631\) −20.0882 26.7325i −0.799697 1.06420i −0.996486 0.0837576i \(-0.973308\pi\)
0.196789 0.980446i \(-0.436949\pi\)
\(632\) 12.0026 + 22.8690i 0.477437 + 0.909680i
\(633\) −1.52421 + 7.46605i −0.0605817 + 0.296749i
\(634\) −25.7524 + 2.07895i −1.02276 + 0.0825655i
\(635\) 32.2573 + 9.34344i 1.28009 + 0.370783i
\(636\) 9.02700 + 4.73773i 0.357944 + 0.187863i
\(637\) 19.2483 4.39897i 0.762645 0.174293i
\(638\) −12.0724 + 6.33606i −0.477949 + 0.250847i
\(639\) −8.21298 + 1.67669i −0.324901 + 0.0663289i
\(640\) −23.8788 17.9437i −0.943892 0.709289i
\(641\) 0.197007 + 4.88868i 0.00778132 + 0.193091i 0.998404 + 0.0564682i \(0.0179839\pi\)
−0.990623 + 0.136623i \(0.956375\pi\)
\(642\) 9.86168 3.74004i 0.389210 0.147608i
\(643\) 4.29474 1.24399i 0.169368 0.0490580i −0.192450 0.981307i \(-0.561643\pi\)
0.361818 + 0.932249i \(0.382156\pi\)
\(644\) −6.21016 1.26781i −0.244715 0.0499589i
\(645\) 0.788163 + 0.889652i 0.0310339 + 0.0350300i
\(646\) −15.6337 + 19.1478i −0.615101 + 0.753362i
\(647\) −0.872097 + 21.6409i −0.0342857 + 0.850790i 0.886969 + 0.461830i \(0.152807\pi\)
−0.921254 + 0.388961i \(0.872834\pi\)
\(648\) −0.855129 2.56143i −0.0335927 0.100622i
\(649\) 32.9305 29.1739i 1.29263 1.14517i
\(650\) 4.37944 + 19.1628i 0.171776 + 0.751627i
\(651\) −3.49327 3.09477i −0.136912 0.121293i
\(652\) −2.31019 + 5.42221i −0.0904739 + 0.212350i
\(653\) 7.08879 12.2781i 0.277406 0.480481i −0.693334 0.720617i \(-0.743859\pi\)
0.970739 + 0.240136i \(0.0771921\pi\)
\(654\) 5.41775 + 9.38382i 0.211851 + 0.366936i
\(655\) −39.6030 + 4.80867i −1.54742 + 0.187890i
\(656\) 1.77639 + 0.842906i 0.0693562 + 0.0329099i
\(657\) 0.814744 0.470393i 0.0317862 0.0183518i
\(658\) −7.73073 5.33614i −0.301375 0.208024i
\(659\) −16.3686 + 6.97403i −0.637632 + 0.271669i −0.686493 0.727136i \(-0.740851\pi\)
0.0488617 + 0.998806i \(0.484441\pi\)
\(660\) 23.7363 + 3.85752i 0.923934 + 0.150154i
\(661\) 29.7856 39.6375i 1.15853 1.54172i 0.367406 0.930060i \(-0.380246\pi\)
0.791121 0.611660i \(-0.209498\pi\)
\(662\) −1.96255 5.17482i −0.0762766 0.201125i
\(663\) 8.84867 17.8587i 0.343654 0.693575i
\(664\) −13.0177 + 34.3249i −0.505186 + 1.33207i
\(665\) −12.5552 19.8544i −0.486868 0.769920i
\(666\) 6.75550 + 2.87825i 0.261770 + 0.111530i
\(667\) −10.4700 6.62083i −0.405401 0.256360i
\(668\) −29.5028 3.58228i −1.14150 0.138603i
\(669\) −4.95612 11.6324i −0.191615 0.449736i
\(670\) 7.79714 23.3553i 0.301230 0.902294i
\(671\) 38.6683 + 14.6650i 1.49277 + 0.566135i
\(672\) 7.16522 + 0.578436i 0.276404 + 0.0223137i
\(673\) −9.28751 + 32.0642i −0.358007 + 1.23598i 0.556307 + 0.830977i \(0.312218\pi\)
−0.914314 + 0.405007i \(0.867269\pi\)
\(674\) −15.8953 0.640557i −0.612263 0.0246733i
\(675\) 6.76405 0.260348
\(676\) −5.66404 16.6158i −0.217848 0.639071i
\(677\) 4.58739 0.176308 0.0881539 0.996107i \(-0.471903\pi\)
0.0881539 + 0.996107i \(0.471903\pi\)
\(678\) −13.9682 0.562900i −0.536446 0.0216180i
\(679\) 0.702487 2.42527i 0.0269590 0.0930732i
\(680\) 51.0324 + 4.11976i 1.95700 + 0.157986i
\(681\) −5.62495 2.13326i −0.215549 0.0817468i
\(682\) 5.01013 15.0072i 0.191848 0.574654i
\(683\) 18.9305 + 44.4316i 0.724357 + 1.70013i 0.713964 + 0.700183i \(0.246898\pi\)
0.0103932 + 0.999946i \(0.496692\pi\)
\(684\) 7.43746 + 0.903071i 0.284378 + 0.0345298i
\(685\) 35.4904 + 22.4428i 1.35602 + 0.857495i
\(686\) −11.4200 4.86560i −0.436017 0.185770i
\(687\) 5.54829 + 8.77392i 0.211681 + 0.334746i
\(688\) 0.0644143 0.169847i 0.00245577 0.00647534i
\(689\) −17.5711 + 20.7899i −0.669406 + 0.792031i
\(690\) −3.72742 9.82840i −0.141900 0.374161i
\(691\) 24.9079 33.1464i 0.947543 1.26095i −0.0177669 0.999842i \(-0.505656\pi\)
0.965310 0.261108i \(-0.0840879\pi\)
\(692\) 0.142347 + 0.0231337i 0.00541124 + 0.000879412i
\(693\) −5.89650 + 2.51226i −0.223990 + 0.0954330i
\(694\) −15.3519 10.5966i −0.582749 0.402243i
\(695\) −37.3191 + 21.5462i −1.41560 + 0.817295i
\(696\) 7.94833 + 3.77153i 0.301281 + 0.142959i
\(697\) −20.5831 + 2.49925i −0.779642 + 0.0946657i
\(698\) 10.4530 + 18.1052i 0.395653 + 0.685291i
\(699\) −7.59289 + 13.1513i −0.287190 + 0.497427i
\(700\) −4.41954 + 10.3730i −0.167043 + 0.392064i
\(701\) 5.41919 + 4.80098i 0.204680 + 0.181331i 0.759235 0.650816i \(-0.225573\pi\)
−0.554555 + 0.832147i \(0.687112\pi\)
\(702\) 2.89042 0.301252i 0.109092 0.0113700i
\(703\) −37.8350 + 33.5189i −1.42697 + 1.26419i
\(704\) 5.99336 + 17.9523i 0.225883 + 0.676603i
\(705\) −1.30388 + 32.3555i −0.0491071 + 1.21858i
\(706\) −11.1325 + 13.6349i −0.418979 + 0.513156i
\(707\) 1.44393 + 1.62986i 0.0543046 + 0.0612972i
\(708\) −11.2108 2.28871i −0.421329 0.0860149i
\(709\) 35.4457 10.2670i 1.33119 0.385584i 0.465006 0.885307i \(-0.346052\pi\)
0.866185 + 0.499723i \(0.166565\pi\)
\(710\) 21.6671 8.21726i 0.813153 0.308388i
\(711\) 0.385115 + 9.55653i 0.0144429 + 0.358398i
\(712\) 23.3996 + 17.5836i 0.876935 + 0.658974i
\(713\) 14.0846 2.87540i 0.527474 0.107685i
\(714\) −4.86995 + 2.55595i −0.182253 + 0.0956540i
\(715\) −23.7850 + 59.6411i −0.889507 + 2.23045i
\(716\) 1.69855 + 0.891466i 0.0634777 + 0.0333157i
\(717\) −18.5967 5.38661i −0.694508 0.201167i
\(718\) 12.2973 0.992737i 0.458930 0.0370486i
\(719\) −1.71224 + 8.38712i −0.0638559 + 0.312787i −0.999156 0.0410676i \(-0.986924\pi\)
0.935300 + 0.353855i \(0.115129\pi\)
\(720\) −0.835540 1.59199i −0.0311387 0.0593299i
\(721\) 13.8391 + 18.4164i 0.515393 + 0.685864i
\(722\) 5.07572 8.02661i 0.188899 0.298719i
\(723\) 17.0001 11.7343i 0.632241 0.436404i
\(724\) 5.70172 12.0161i 0.211903 0.446576i
\(725\) −15.2655 + 15.8931i −0.566946 + 0.590254i
\(726\) −9.27635 8.91005i −0.344278 0.330683i
\(727\) −2.45189 20.1931i −0.0909356 0.748922i −0.964842 0.262829i \(-0.915345\pi\)
0.873907 0.486093i \(-0.161579\pi\)
\(728\) −3.53946 + 11.4861i −0.131181 + 0.425702i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −2.01458 + 1.64486i −0.0745631 + 0.0608789i
\(731\) 0.383160 + 1.87684i 0.0141717 + 0.0694175i
\(732\) −2.99244 10.3311i −0.110604 0.381848i
\(733\) 12.9383 + 52.4927i 0.477887 + 1.93886i 0.293078 + 0.956089i \(0.405320\pi\)
0.184809 + 0.982774i \(0.440833\pi\)
\(734\) 0.00705411 0.0873809i 0.000260372 0.00322529i
\(735\) 3.01293 + 18.5393i 0.111134 + 0.683832i
\(736\) −14.6829 + 16.5736i −0.541219 + 0.610910i
\(737\) 36.9700 27.7812i 1.36181 1.02333i
\(738\) −1.91204 2.34183i −0.0703833 0.0862039i
\(739\) −1.08899 + 6.70080i −0.0400590 + 0.246493i −0.999355 0.0359094i \(-0.988567\pi\)
0.959296 + 0.282402i \(0.0911313\pi\)
\(740\) 40.9699 + 10.0982i 1.50608 + 0.371216i
\(741\) −6.65603 + 18.8646i −0.244515 + 0.693007i
\(742\) 7.29334 1.79765i 0.267747 0.0659937i
\(743\) 3.81201 + 47.2202i 0.139849 + 1.73234i 0.563153 + 0.826352i \(0.309588\pi\)
−0.423304 + 0.905988i \(0.639130\pi\)
\(744\) −9.68378 + 3.23292i −0.355024 + 0.118525i
\(745\) 20.5430 + 21.3875i 0.752638 + 0.783579i
\(746\) 15.9308i 0.583269i
\(747\) −9.80437 + 9.41723i −0.358723 + 0.344558i
\(748\) 30.0211 + 24.5115i 1.09768 + 0.896228i
\(749\) −7.50691 + 14.3032i −0.274296 + 0.522628i
\(750\) −4.81354 + 0.782277i −0.175766 + 0.0285647i
\(751\) −21.8539 + 13.8195i −0.797459 + 0.504282i −0.869982 0.493084i \(-0.835869\pi\)
0.0725226 + 0.997367i \(0.476895\pi\)
\(752\) 4.47117 2.12160i 0.163047 0.0773667i
\(753\) −12.7764 + 18.5098i −0.465598 + 0.674535i
\(754\) −5.81544 + 7.47133i −0.211786 + 0.272090i
\(755\) −12.4235 17.9985i −0.452137 0.655034i
\(756\) 1.44361 + 0.833471i 0.0525038 + 0.0303131i
\(757\) 3.37976 + 7.12269i 0.122839 + 0.258879i 0.955550 0.294831i \(-0.0952632\pi\)
−0.832710 + 0.553709i \(0.813212\pi\)
\(758\) −6.35467 2.12150i −0.230812 0.0770563i
\(759\) 4.72461 19.1685i 0.171492 0.695772i
\(760\) −51.3460 + 2.06917i −1.86251 + 0.0750568i
\(761\) −28.5622 + 1.15102i −1.03538 + 0.0417243i −0.552129 0.833758i \(-0.686185\pi\)
−0.483249 + 0.875483i \(0.660544\pi\)
\(762\) −1.88865 + 7.66255i −0.0684185 + 0.277585i
\(763\) −15.7412 5.25518i −0.569870 0.190250i
\(764\) 8.24526 + 17.3765i 0.298303 + 0.628660i
\(765\) 16.4195 + 9.47980i 0.593648 + 0.342743i
\(766\) 10.4395 + 15.1242i 0.377193 + 0.546459i
\(767\) 12.4505 27.8989i 0.449562 1.00737i
\(768\) 8.12873 11.7765i 0.293320 0.424948i
\(769\) −44.0437 + 20.8990i −1.58826 + 0.753637i −0.998542 0.0539743i \(-0.982811\pi\)
−0.589715 + 0.807612i \(0.700760\pi\)
\(770\) 14.9756 9.47001i 0.539684 0.341276i
\(771\) 20.0198 3.25354i 0.720997 0.117173i
\(772\) 12.6606 24.1227i 0.455665 0.868197i
\(773\) 40.1869 + 32.8116i 1.44542 +