Properties

Label 400.2.be.a.181.44
Level $400$
Weight $2$
Character 400.181
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 181.44
Character \(\chi\) \(=\) 400.181
Dual form 400.2.be.a.221.44

$q$-expansion

\(f(q)\) \(=\) \(q+(0.971795 + 1.02743i) q^{2} +(0.129189 - 0.815667i) q^{3} +(-0.111228 + 1.99690i) q^{4} +(-1.25843 + 1.84834i) q^{5} +(0.963587 - 0.659929i) q^{6} -1.98090i q^{7} +(-2.15977 + 1.82630i) q^{8} +(2.20455 + 0.716301i) q^{9} +O(q^{10})\) \(q+(0.971795 + 1.02743i) q^{2} +(0.129189 - 0.815667i) q^{3} +(-0.111228 + 1.99690i) q^{4} +(-1.25843 + 1.84834i) q^{5} +(0.963587 - 0.659929i) q^{6} -1.98090i q^{7} +(-2.15977 + 1.82630i) q^{8} +(2.20455 + 0.716301i) q^{9} +(-3.12198 + 0.503249i) q^{10} +(-2.03455 + 3.99302i) q^{11} +(1.61444 + 0.348703i) q^{12} +(1.98889 + 3.90341i) q^{13} +(2.03524 - 1.92503i) q^{14} +(1.34505 + 1.26525i) q^{15} +(-3.97526 - 0.444223i) q^{16} +(4.10311 + 2.98108i) q^{17} +(1.40642 + 2.96112i) q^{18} +(-2.61050 + 0.413463i) q^{19} +(-3.55098 - 2.71856i) q^{20} +(-1.61576 - 0.255911i) q^{21} +(-6.07971 + 1.79004i) q^{22} +(3.61334 - 1.17405i) q^{23} +(1.21064 + 1.99759i) q^{24} +(-1.83268 - 4.65202i) q^{25} +(-2.07769 + 5.83676i) q^{26} +(1.99383 - 3.91311i) q^{27} +(3.95567 + 0.220332i) q^{28} +(1.33058 - 8.40093i) q^{29} +(0.00715851 + 2.61151i) q^{30} +(-7.30533 - 5.30763i) q^{31} +(-3.40673 - 4.51599i) q^{32} +(2.99413 + 2.17537i) q^{33} +(0.924526 + 7.11266i) q^{34} +(3.66137 + 2.49284i) q^{35} +(-1.67559 + 4.32260i) q^{36} +(-4.78434 + 2.43774i) q^{37} +(-2.96168 - 2.28031i) q^{38} +(3.44083 - 1.11799i) q^{39} +(-0.657689 - 6.29027i) q^{40} +(5.54147 + 1.80053i) q^{41} +(-1.30725 - 1.90877i) q^{42} +(3.41136 + 3.41136i) q^{43} +(-7.74738 - 4.50693i) q^{44} +(-4.09824 + 3.17332i) q^{45} +(4.71768 + 2.57153i) q^{46} +(2.50317 - 1.81866i) q^{47} +(-0.875898 + 3.18510i) q^{48} +3.07603 q^{49} +(2.99863 - 6.40377i) q^{50} +(2.96165 - 2.96165i) q^{51} +(-8.01596 + 3.53745i) q^{52} +(4.60419 + 0.729231i) q^{53} +(5.95804 - 1.75422i) q^{54} +(-4.82010 - 8.78548i) q^{55} +(3.61773 + 4.27830i) q^{56} +2.18271i q^{57} +(9.92442 - 6.79691i) q^{58} +(11.1867 - 5.69991i) q^{59} +(-2.67619 + 2.54521i) q^{60} +(-0.425661 - 0.216885i) q^{61} +(-1.64606 - 12.6636i) q^{62} +(1.41892 - 4.36699i) q^{63} +(1.32923 - 7.88880i) q^{64} +(-9.71770 - 1.23606i) q^{65} +(0.674648 + 5.19028i) q^{66} +(1.92305 - 0.304581i) q^{67} +(-6.40932 + 7.86194i) q^{68} +(-0.490827 - 3.09896i) q^{69} +(0.996887 + 6.18433i) q^{70} +(-1.12597 - 1.54976i) q^{71} +(-6.06950 + 2.47913i) q^{72} +(-14.3827 + 4.67322i) q^{73} +(-7.15401 - 2.54659i) q^{74} +(-4.03126 + 0.893871i) q^{75} +(-0.535285 - 5.25891i) q^{76} +(7.90978 + 4.03024i) q^{77} +(4.49244 + 2.44875i) q^{78} +(7.85013 - 5.70345i) q^{79} +(5.82367 - 6.78858i) q^{80} +(2.69168 + 1.95562i) q^{81} +(3.53525 + 7.44323i) q^{82} +(-1.67997 + 0.266082i) q^{83} +(0.690747 - 3.19805i) q^{84} +(-10.6735 + 3.83242i) q^{85} +(-0.189793 + 6.82008i) q^{86} +(-6.68046 - 2.17061i) q^{87} +(-2.89831 - 12.3397i) q^{88} +(-8.49097 + 2.75888i) q^{89} +(-7.24302 - 1.12684i) q^{90} +(7.73228 - 3.93979i) q^{91} +(1.94255 + 7.34609i) q^{92} +(-5.27303 + 5.27303i) q^{93} +(4.30111 + 0.804468i) q^{94} +(2.52093 - 5.34540i) q^{95} +(-4.12366 + 2.19534i) q^{96} +(11.6149 - 8.43870i) q^{97} +(2.98927 + 3.16040i) q^{98} +(-7.34545 + 7.34545i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} + O(q^{10}) \) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} - 14q^{10} - 6q^{11} + 10q^{12} - 6q^{13} + 6q^{14} - 16q^{15} - 6q^{16} - 12q^{17} - 24q^{18} - 6q^{19} - 22q^{20} + 12q^{21} + 10q^{22} - 16q^{24} + 4q^{26} - 18q^{27} + 18q^{28} - 6q^{29} - 6q^{30} + 12q^{31} - 36q^{32} - 12q^{33} - 30q^{34} + 44q^{35} - 82q^{36} - 6q^{37} - 76q^{38} - 52q^{40} - 10q^{42} - 48q^{43} + 36q^{44} - 12q^{45} - 14q^{46} - 12q^{47} - 116q^{48} - 400q^{49} + 10q^{50} - 4q^{51} + 32q^{52} - 6q^{53} - 30q^{54} + 36q^{56} + 26q^{58} - 6q^{59} + 48q^{60} - 6q^{61} - 34q^{62} + 72q^{63} - 24q^{64} + 16q^{65} + 92q^{66} + 30q^{67} + 28q^{68} - 18q^{69} + 60q^{70} + 22q^{72} + 28q^{74} - 26q^{75} - 76q^{76} + 36q^{77} + 14q^{78} - 52q^{79} - 34q^{80} + 72q^{81} + 56q^{82} - 46q^{83} + 112q^{84} + 2q^{85} - 46q^{86} - 136q^{88} - 42q^{90} + 36q^{91} - 4q^{93} + 50q^{94} - 40q^{95} - 66q^{96} - 12q^{97} - 8q^{98} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.971795 + 1.02743i 0.687163 + 0.726503i
\(3\) 0.129189 0.815667i 0.0745873 0.470926i −0.921917 0.387387i \(-0.873378\pi\)
0.996505 0.0835388i \(-0.0266222\pi\)
\(4\) −0.111228 + 1.99690i −0.0556139 + 0.998452i
\(5\) −1.25843 + 1.84834i −0.562789 + 0.826601i
\(6\) 0.963587 0.659929i 0.393383 0.269415i
\(7\) 1.98090i 0.748711i −0.927285 0.374355i \(-0.877864\pi\)
0.927285 0.374355i \(-0.122136\pi\)
\(8\) −2.15977 + 1.82630i −0.763595 + 0.645696i
\(9\) 2.20455 + 0.716301i 0.734849 + 0.238767i
\(10\) −3.12198 + 0.503249i −0.987256 + 0.159141i
\(11\) −2.03455 + 3.99302i −0.613439 + 1.20394i 0.350186 + 0.936680i \(0.386118\pi\)
−0.963624 + 0.267261i \(0.913882\pi\)
\(12\) 1.61444 + 0.348703i 0.466049 + 0.100662i
\(13\) 1.98889 + 3.90341i 0.551618 + 1.08261i 0.983538 + 0.180700i \(0.0578363\pi\)
−0.431920 + 0.901912i \(0.642164\pi\)
\(14\) 2.03524 1.92503i 0.543941 0.514486i
\(15\) 1.34505 + 1.26525i 0.347291 + 0.326686i
\(16\) −3.97526 0.444223i −0.993814 0.111056i
\(17\) 4.10311 + 2.98108i 0.995150 + 0.723019i 0.961043 0.276399i \(-0.0891412\pi\)
0.0341073 + 0.999418i \(0.489141\pi\)
\(18\) 1.40642 + 2.96112i 0.331496 + 0.697942i
\(19\) −2.61050 + 0.413463i −0.598890 + 0.0948549i −0.448517 0.893774i \(-0.648048\pi\)
−0.150373 + 0.988629i \(0.548048\pi\)
\(20\) −3.55098 2.71856i −0.794022 0.607889i
\(21\) −1.61576 0.255911i −0.352587 0.0558443i
\(22\) −6.07971 + 1.79004i −1.29620 + 0.381639i
\(23\) 3.61334 1.17405i 0.753434 0.244806i 0.0929760 0.995668i \(-0.470362\pi\)
0.660458 + 0.750863i \(0.270362\pi\)
\(24\) 1.21064 + 1.99759i 0.247120 + 0.407757i
\(25\) −1.83268 4.65202i −0.366537 0.930403i
\(26\) −2.07769 + 5.83676i −0.407469 + 1.14468i
\(27\) 1.99383 3.91311i 0.383713 0.753078i
\(28\) 3.95567 + 0.220332i 0.747552 + 0.0416388i
\(29\) 1.33058 8.40093i 0.247082 1.56001i −0.482362 0.875972i \(-0.660221\pi\)
0.729444 0.684041i \(-0.239779\pi\)
\(30\) 0.00715851 + 2.61151i 0.00130696 + 0.476794i
\(31\) −7.30533 5.30763i −1.31208 0.953278i −0.999995 0.00322280i \(-0.998974\pi\)
−0.312080 0.950056i \(-0.601026\pi\)
\(32\) −3.40673 4.51599i −0.602230 0.798323i
\(33\) 2.99413 + 2.17537i 0.521212 + 0.378683i
\(34\) 0.924526 + 7.11266i 0.158555 + 1.21981i
\(35\) 3.66137 + 2.49284i 0.618885 + 0.421366i
\(36\) −1.67559 + 4.32260i −0.279265 + 0.720433i
\(37\) −4.78434 + 2.43774i −0.786540 + 0.400762i −0.800646 0.599138i \(-0.795510\pi\)
0.0141055 + 0.999901i \(0.495510\pi\)
\(38\) −2.96168 2.28031i −0.480447 0.369915i
\(39\) 3.44083 1.11799i 0.550974 0.179022i
\(40\) −0.657689 6.29027i −0.103990 0.994578i
\(41\) 5.54147 + 1.80053i 0.865432 + 0.281196i 0.707896 0.706317i \(-0.249645\pi\)
0.157537 + 0.987513i \(0.449645\pi\)
\(42\) −1.30725 1.90877i −0.201714 0.294530i
\(43\) 3.41136 + 3.41136i 0.520228 + 0.520228i 0.917640 0.397412i \(-0.130092\pi\)
−0.397412 + 0.917640i \(0.630092\pi\)
\(44\) −7.74738 4.50693i −1.16796 0.679445i
\(45\) −4.09824 + 3.17332i −0.610930 + 0.473051i
\(46\) 4.71768 + 2.57153i 0.695584 + 0.379151i
\(47\) 2.50317 1.81866i 0.365124 0.265278i −0.390062 0.920789i \(-0.627546\pi\)
0.755186 + 0.655510i \(0.227546\pi\)
\(48\) −0.875898 + 3.18510i −0.126425 + 0.459729i
\(49\) 3.07603 0.439432
\(50\) 2.99863 6.40377i 0.424071 0.905629i
\(51\) 2.96165 2.96165i 0.414714 0.414714i
\(52\) −8.01596 + 3.53745i −1.11161 + 0.490556i
\(53\) 4.60419 + 0.729231i 0.632433 + 0.100168i 0.464417 0.885617i \(-0.346264\pi\)
0.168016 + 0.985784i \(0.446264\pi\)
\(54\) 5.95804 1.75422i 0.810787 0.238719i
\(55\) −4.82010 8.78548i −0.649942 1.18463i
\(56\) 3.61773 + 4.27830i 0.483439 + 0.571712i
\(57\) 2.18271i 0.289108i
\(58\) 9.92442 6.79691i 1.30314 0.892477i
\(59\) 11.1867 5.69991i 1.45638 0.742065i 0.466578 0.884480i \(-0.345487\pi\)
0.989807 + 0.142415i \(0.0454868\pi\)
\(60\) −2.67619 + 2.54521i −0.345494 + 0.328585i
\(61\) −0.425661 0.216885i −0.0545003 0.0277693i 0.426528 0.904474i \(-0.359737\pi\)
−0.481028 + 0.876705i \(0.659737\pi\)
\(62\) −1.64606 12.6636i −0.209050 1.60828i
\(63\) 1.41892 4.36699i 0.178767 0.550189i
\(64\) 1.32923 7.88880i 0.166154 0.986100i
\(65\) −9.71770 1.23606i −1.20533 0.153314i
\(66\) 0.674648 + 5.19028i 0.0830434 + 0.638879i
\(67\) 1.92305 0.304581i 0.234938 0.0372105i −0.0378552 0.999283i \(-0.512053\pi\)
0.272793 + 0.962073i \(0.412053\pi\)
\(68\) −6.40932 + 7.86194i −0.777244 + 0.953400i
\(69\) −0.490827 3.09896i −0.0590886 0.373071i
\(70\) 0.996887 + 6.18433i 0.119151 + 0.739169i
\(71\) −1.12597 1.54976i −0.133628 0.183923i 0.736960 0.675937i \(-0.236261\pi\)
−0.870587 + 0.492014i \(0.836261\pi\)
\(72\) −6.06950 + 2.47913i −0.715297 + 0.292168i
\(73\) −14.3827 + 4.67322i −1.68337 + 0.546959i −0.985560 0.169327i \(-0.945841\pi\)
−0.697807 + 0.716286i \(0.745841\pi\)
\(74\) −7.15401 2.54659i −0.831636 0.296035i
\(75\) −4.03126 + 0.893871i −0.465490 + 0.103215i
\(76\) −0.535285 5.25891i −0.0614014 0.603238i
\(77\) 7.90978 + 4.03024i 0.901404 + 0.459288i
\(78\) 4.49244 + 2.44875i 0.508669 + 0.277267i
\(79\) 7.85013 5.70345i 0.883209 0.641689i −0.0508896 0.998704i \(-0.516206\pi\)
0.934098 + 0.357016i \(0.116206\pi\)
\(80\) 5.82367 6.78858i 0.651106 0.758986i
\(81\) 2.69168 + 1.95562i 0.299076 + 0.217291i
\(82\) 3.53525 + 7.44323i 0.390403 + 0.821967i
\(83\) −1.67997 + 0.266082i −0.184401 + 0.0292063i −0.247952 0.968772i \(-0.579757\pi\)
0.0635509 + 0.997979i \(0.479757\pi\)
\(84\) 0.690747 3.19805i 0.0753666 0.348936i
\(85\) −10.6735 + 3.83242i −1.15771 + 0.415685i
\(86\) −0.189793 + 6.82008i −0.0204659 + 0.735428i
\(87\) −6.68046 2.17061i −0.716221 0.232714i
\(88\) −2.89831 12.3397i −0.308961 1.31542i
\(89\) −8.49097 + 2.75888i −0.900040 + 0.292441i −0.722254 0.691628i \(-0.756894\pi\)
−0.177787 + 0.984069i \(0.556894\pi\)
\(90\) −7.24302 1.12684i −0.763481 0.118779i
\(91\) 7.73228 3.93979i 0.810563 0.413003i
\(92\) 1.94255 + 7.34609i 0.202525 + 0.765883i
\(93\) −5.27303 + 5.27303i −0.546787 + 0.546787i
\(94\) 4.30111 + 0.804468i 0.443625 + 0.0829745i
\(95\) 2.52093 5.34540i 0.258642 0.548426i
\(96\) −4.12366 + 2.19534i −0.420869 + 0.224061i
\(97\) 11.6149 8.43870i 1.17931 0.856821i 0.187219 0.982318i \(-0.440053\pi\)
0.992094 + 0.125498i \(0.0400527\pi\)
\(98\) 2.98927 + 3.16040i 0.301962 + 0.319249i
\(99\) −7.34545 + 7.34545i −0.738246 + 0.738246i
\(100\) 9.49348 3.14226i 0.949348 0.314226i
\(101\) −10.6037 10.6037i −1.05511 1.05511i −0.998390 0.0567165i \(-0.981937\pi\)
−0.0567165 0.998390i \(-0.518063\pi\)
\(102\) 5.92101 + 0.164773i 0.586267 + 0.0163149i
\(103\) −8.40913 11.5742i −0.828576 1.14044i −0.988186 0.153257i \(-0.951024\pi\)
0.159611 0.987180i \(-0.448976\pi\)
\(104\) −11.4244 4.79817i −1.12025 0.470499i
\(105\) 2.50633 2.66441i 0.244593 0.260020i
\(106\) 3.72509 + 5.43915i 0.361813 + 0.528296i
\(107\) 7.70579 + 7.70579i 0.744947 + 0.744947i 0.973526 0.228578i \(-0.0734077\pi\)
−0.228578 + 0.973526i \(0.573408\pi\)
\(108\) 7.59234 + 4.41673i 0.730573 + 0.425000i
\(109\) 2.13738 + 4.19485i 0.204724 + 0.401794i 0.970425 0.241403i \(-0.0776076\pi\)
−0.765701 + 0.643197i \(0.777608\pi\)
\(110\) 4.34232 13.4900i 0.414024 1.28622i
\(111\) 1.37030 + 4.21736i 0.130063 + 0.400294i
\(112\) −0.879962 + 7.87460i −0.0831486 + 0.744079i
\(113\) −0.113704 + 0.349945i −0.0106964 + 0.0329201i −0.956262 0.292511i \(-0.905509\pi\)
0.945566 + 0.325431i \(0.105509\pi\)
\(114\) −2.24259 + 2.12115i −0.210038 + 0.198664i
\(115\) −2.37713 + 8.15613i −0.221668 + 0.760563i
\(116\) 16.6279 + 3.59145i 1.54386 + 0.333458i
\(117\) 1.58858 + 10.0299i 0.146864 + 0.927264i
\(118\) 16.7274 + 5.95442i 1.53989 + 0.548149i
\(119\) 5.90524 8.12786i 0.541332 0.745080i
\(120\) −5.21573 0.276178i −0.476129 0.0252115i
\(121\) −5.33920 7.34878i −0.485382 0.668071i
\(122\) −0.190821 0.648105i −0.0172761 0.0586767i
\(123\) 2.18453 4.28739i 0.196973 0.386581i
\(124\) 11.4114 13.9977i 1.02477 1.25703i
\(125\) 10.9048 + 2.46684i 0.975355 + 0.220641i
\(126\) 5.86568 2.78598i 0.522556 0.248195i
\(127\) 3.18708 + 9.80883i 0.282808 + 0.870393i 0.987047 + 0.160430i \(0.0512882\pi\)
−0.704239 + 0.709963i \(0.748712\pi\)
\(128\) 9.39693 6.30061i 0.830579 0.556900i
\(129\) 3.22325 2.34183i 0.283791 0.206186i
\(130\) −8.17365 11.1855i −0.716877 0.981030i
\(131\) −18.0063 + 2.85192i −1.57322 + 0.249173i −0.881213 0.472720i \(-0.843272\pi\)
−0.692004 + 0.721893i \(0.743272\pi\)
\(132\) −4.67703 + 5.73704i −0.407083 + 0.499345i
\(133\) 0.819029 + 5.17115i 0.0710189 + 0.448395i
\(134\) 2.18175 + 1.67981i 0.188474 + 0.145113i
\(135\) 4.72363 + 8.60966i 0.406546 + 0.741001i
\(136\) −14.3061 + 1.05506i −1.22674 + 0.0904709i
\(137\) 10.4929 + 3.40935i 0.896470 + 0.291281i 0.720779 0.693165i \(-0.243784\pi\)
0.175691 + 0.984445i \(0.443784\pi\)
\(138\) 2.70698 3.51585i 0.230434 0.299289i
\(139\) 6.66076 13.0725i 0.564958 1.10879i −0.415043 0.909802i \(-0.636234\pi\)
0.980001 0.198991i \(-0.0637664\pi\)
\(140\) −5.38520 + 7.03414i −0.455133 + 0.594493i
\(141\) −1.16004 2.27670i −0.0976927 0.191733i
\(142\) 0.498062 2.66290i 0.0417964 0.223466i
\(143\) −19.6329 −1.64178
\(144\) −8.44544 3.82679i −0.703787 0.318899i
\(145\) 13.8533 + 13.0314i 1.15045 + 1.08220i
\(146\) −18.7784 10.2358i −1.55411 0.847121i
\(147\) 0.397389 2.50901i 0.0327761 0.206940i
\(148\) −4.33579 9.82501i −0.356399 0.807611i
\(149\) 4.72728 + 4.72728i 0.387274 + 0.387274i 0.873714 0.486440i \(-0.161705\pi\)
−0.486440 + 0.873714i \(0.661705\pi\)
\(150\) −4.83595 3.27318i −0.394854 0.267254i
\(151\) 8.32790i 0.677715i 0.940838 + 0.338857i \(0.110040\pi\)
−0.940838 + 0.338857i \(0.889960\pi\)
\(152\) 4.88298 5.66055i 0.396062 0.459131i
\(153\) 6.91014 + 9.51100i 0.558652 + 0.768919i
\(154\) 3.54590 + 12.0433i 0.285737 + 0.970478i
\(155\) 19.0036 6.82338i 1.52640 0.548067i
\(156\) 1.84981 + 6.99536i 0.148103 + 0.560077i
\(157\) −9.45332 + 9.45332i −0.754457 + 0.754457i −0.975308 0.220850i \(-0.929117\pi\)
0.220850 + 0.975308i \(0.429117\pi\)
\(158\) 13.4886 + 2.52288i 1.07310 + 0.200709i
\(159\) 1.18962 3.66127i 0.0943430 0.290358i
\(160\) 12.6342 0.613689i 0.998822 0.0485164i
\(161\) −2.32567 7.15768i −0.183289 0.564104i
\(162\) 0.606498 + 4.66598i 0.0476510 + 0.366594i
\(163\) 4.85879 + 9.53592i 0.380570 + 0.746911i 0.999250 0.0387325i \(-0.0123320\pi\)
−0.618679 + 0.785644i \(0.712332\pi\)
\(164\) −4.21186 + 10.8655i −0.328891 + 0.848454i
\(165\) −7.78873 + 2.79661i −0.606352 + 0.217716i
\(166\) −1.90597 1.46748i −0.147932 0.113898i
\(167\) −5.07716 + 6.98811i −0.392882 + 0.540756i −0.958940 0.283610i \(-0.908468\pi\)
0.566058 + 0.824366i \(0.308468\pi\)
\(168\) 3.95704 2.39815i 0.305292 0.185022i
\(169\) −3.63975 + 5.00968i −0.279981 + 0.385360i
\(170\) −14.3100 7.24199i −1.09753 0.555435i
\(171\) −6.05113 0.958406i −0.462742 0.0732911i
\(172\) −7.19160 + 6.43272i −0.548354 + 0.490491i
\(173\) 1.04177 + 0.530806i 0.0792040 + 0.0403564i 0.493144 0.869948i \(-0.335848\pi\)
−0.413940 + 0.910304i \(0.635848\pi\)
\(174\) −4.26189 8.97311i −0.323093 0.680250i
\(175\) −9.21519 + 3.63037i −0.696603 + 0.274430i
\(176\) 9.86163 14.9695i 0.743349 1.12837i
\(177\) −3.20403 9.86099i −0.240830 0.741198i
\(178\) −11.0860 6.04281i −0.830934 0.452928i
\(179\) −1.15087 + 7.26628i −0.0860197 + 0.543107i 0.906615 + 0.421959i \(0.138657\pi\)
−0.992634 + 0.121148i \(0.961343\pi\)
\(180\) −5.88098 8.53676i −0.438343 0.636292i
\(181\) −2.15389 13.5991i −0.160097 1.01081i −0.928631 0.371005i \(-0.879013\pi\)
0.768534 0.639809i \(-0.220987\pi\)
\(182\) 11.5621 + 4.11571i 0.857037 + 0.305077i
\(183\) −0.231897 + 0.319178i −0.0171423 + 0.0235943i
\(184\) −5.65983 + 9.13474i −0.417248 + 0.673422i
\(185\) 1.51501 11.9108i 0.111386 0.875699i
\(186\) −10.5420 0.293367i −0.772975 0.0215107i
\(187\) −20.2515 + 10.3187i −1.48094 + 0.754574i
\(188\) 3.35326 + 5.20087i 0.244562 + 0.379312i
\(189\) −7.75149 3.94958i −0.563838 0.287290i
\(190\) 7.94185 2.60455i 0.576162 0.188954i
\(191\) −5.00058 + 15.3902i −0.361830 + 1.11360i 0.590113 + 0.807321i \(0.299083\pi\)
−0.951943 + 0.306276i \(0.900917\pi\)
\(192\) −6.26291 2.10336i −0.451987 0.151797i
\(193\) −12.4160 −0.893723 −0.446862 0.894603i \(-0.647458\pi\)
−0.446862 + 0.894603i \(0.647458\pi\)
\(194\) 19.9575 + 3.73279i 1.43286 + 0.267999i
\(195\) −2.26363 + 7.76672i −0.162102 + 0.556187i
\(196\) −0.342140 + 6.14253i −0.0244386 + 0.438752i
\(197\) −5.63644 0.892724i −0.401579 0.0636039i −0.0476219 0.998865i \(-0.515164\pi\)
−0.353958 + 0.935261i \(0.615164\pi\)
\(198\) −14.6852 0.408668i −1.04363 0.0290428i
\(199\) 4.09901i 0.290571i −0.989390 0.145285i \(-0.953590\pi\)
0.989390 0.145285i \(-0.0464100\pi\)
\(200\) 12.4542 + 6.70026i 0.880643 + 0.473780i
\(201\) 1.60792i 0.113414i
\(202\) 0.589941 21.1992i 0.0415081 1.49157i
\(203\) −16.6414 2.63574i −1.16800 0.184993i
\(204\) 5.58471 + 6.24355i 0.391008 + 0.437136i
\(205\) −10.3016 + 7.97664i −0.719493 + 0.557113i
\(206\) 3.71971 19.8875i 0.259164 1.38563i
\(207\) 8.80675 0.612112
\(208\) −6.17236 16.4006i −0.427976 1.13718i
\(209\) 3.66022 11.2650i 0.253183 0.779216i
\(210\) 5.17314 0.0141803i 0.356981 0.000978535i
\(211\) −13.5763 6.91747i −0.934632 0.476219i −0.0807782 0.996732i \(-0.525741\pi\)
−0.853853 + 0.520514i \(0.825741\pi\)
\(212\) −1.96832 + 9.11301i −0.135185 + 0.625884i
\(213\) −1.40955 + 0.718202i −0.0965808 + 0.0492104i
\(214\) −0.428715 + 15.4056i −0.0293064 + 1.05311i
\(215\) −10.5983 + 2.01236i −0.722799 + 0.137242i
\(216\) 2.84031 + 12.0928i 0.193259 + 0.822808i
\(217\) −10.5139 + 14.4711i −0.713730 + 0.982365i
\(218\) −2.23282 + 6.27255i −0.151226 + 0.424831i
\(219\) 1.95371 + 12.3352i 0.132019 + 0.833537i
\(220\) 18.0799 8.64808i 1.21895 0.583054i
\(221\) −3.47577 + 21.9452i −0.233806 + 1.47619i
\(222\) −3.00139 + 5.50630i −0.201440 + 0.369558i
\(223\) 0.708376 + 2.18016i 0.0474364 + 0.145994i 0.971969 0.235108i \(-0.0755445\pi\)
−0.924533 + 0.381103i \(0.875544\pi\)
\(224\) −8.94574 + 6.74839i −0.597713 + 0.450896i
\(225\) −0.707996 11.5683i −0.0471997 0.771223i
\(226\) −0.470041 + 0.223252i −0.0312667 + 0.0148505i
\(227\) 14.9071 + 7.59553i 0.989417 + 0.504133i 0.872293 0.488984i \(-0.162632\pi\)
0.117124 + 0.993117i \(0.462632\pi\)
\(228\) −4.35867 0.242779i −0.288660 0.0160784i
\(229\) −14.6400 2.31875i −0.967439 0.153227i −0.347330 0.937743i \(-0.612912\pi\)
−0.620109 + 0.784516i \(0.712912\pi\)
\(230\) −10.6899 + 5.48376i −0.704874 + 0.361588i
\(231\) 4.30919 5.93109i 0.283524 0.390237i
\(232\) 12.4689 + 20.5741i 0.818623 + 1.35076i
\(233\) 17.8547 24.5749i 1.16970 1.60995i 0.504099 0.863646i \(-0.331825\pi\)
0.665601 0.746308i \(-0.268175\pi\)
\(234\) −8.76125 + 11.3792i −0.572741 + 0.743879i
\(235\) 0.211416 + 6.91535i 0.0137913 + 0.451108i
\(236\) 10.1379 + 22.9728i 0.659921 + 1.49540i
\(237\) −3.63797 7.13992i −0.236312 0.463788i
\(238\) 14.0895 1.83139i 0.913286 0.118712i
\(239\) −6.61423 20.3565i −0.427839 1.31675i −0.900249 0.435375i \(-0.856616\pi\)
0.472410 0.881379i \(-0.343384\pi\)
\(240\) −4.78487 5.62719i −0.308862 0.363234i
\(241\) −2.97040 + 9.14197i −0.191341 + 0.588886i 0.808659 + 0.588277i \(0.200194\pi\)
−1.00000 0.000608416i \(0.999806\pi\)
\(242\) 2.36175 12.6272i 0.151819 0.811705i
\(243\) 11.2593 11.2593i 0.722282 0.722282i
\(244\) 0.480444 0.825880i 0.0307573 0.0528716i
\(245\) −3.87098 + 5.68553i −0.247308 + 0.363235i
\(246\) 6.52791 1.92201i 0.416204 0.122543i
\(247\) −6.80591 9.36753i −0.433050 0.596042i
\(248\) 25.4712 1.87847i 1.61742 0.119283i
\(249\) 1.40467i 0.0890176i
\(250\) 8.06272 + 13.6012i 0.509931 + 0.860215i
\(251\) −6.57490 6.57490i −0.415004 0.415004i 0.468473 0.883478i \(-0.344804\pi\)
−0.883478 + 0.468473i \(0.844804\pi\)
\(252\) 8.56264 + 3.31918i 0.539396 + 0.209089i
\(253\) −2.66352 + 16.8168i −0.167454 + 1.05726i
\(254\) −6.98070 + 12.8067i −0.438008 + 0.803563i
\(255\) 1.74708 + 9.20116i 0.109406 + 0.576199i
\(256\) 15.6053 + 3.53180i 0.975333 + 0.220738i
\(257\) 23.2167 1.44822 0.724109 0.689686i \(-0.242251\pi\)
0.724109 + 0.689686i \(0.242251\pi\)
\(258\) 5.53840 + 1.03589i 0.344806 + 0.0644915i
\(259\) 4.82893 + 9.47730i 0.300055 + 0.588891i
\(260\) 3.54917 19.2678i 0.220110 1.19494i
\(261\) 8.95090 17.5671i 0.554047 1.08738i
\(262\) −20.4286 15.7287i −1.26208 0.971725i
\(263\) 13.9788 + 4.54198i 0.861969 + 0.280071i 0.706451 0.707762i \(-0.250295\pi\)
0.155518 + 0.987833i \(0.450295\pi\)
\(264\) −10.4395 + 0.769904i −0.642509 + 0.0473843i
\(265\) −7.14193 + 7.59239i −0.438725 + 0.466397i
\(266\) −4.51707 + 5.86679i −0.276959 + 0.359716i
\(267\) 1.15339 + 7.28222i 0.0705863 + 0.445665i
\(268\) 0.394323 + 3.87402i 0.0240871 + 0.236644i
\(269\) −13.6357 + 2.15968i −0.831381 + 0.131678i −0.557595 0.830113i \(-0.688276\pi\)
−0.273786 + 0.961791i \(0.588276\pi\)
\(270\) −4.25542 + 13.2200i −0.258977 + 0.804546i
\(271\) 5.80665 4.21878i 0.352729 0.256273i −0.397284 0.917696i \(-0.630047\pi\)
0.750013 + 0.661423i \(0.230047\pi\)
\(272\) −14.9866 13.6733i −0.908699 0.829064i
\(273\) −2.21463 6.81595i −0.134036 0.412520i
\(274\) 6.69409 + 14.0939i 0.404405 + 0.851446i
\(275\) 22.3043 + 2.14679i 1.34500 + 0.129457i
\(276\) 6.24292 0.635444i 0.375780 0.0382492i
\(277\) 7.36046 14.4457i 0.442247 0.867959i −0.557050 0.830479i \(-0.688067\pi\)
0.999297 0.0374801i \(-0.0119331\pi\)
\(278\) 19.9040 5.86030i 1.19376 0.351477i
\(279\) −12.3031 16.9337i −0.736566 1.01380i
\(280\) −12.4604 + 1.30282i −0.744651 + 0.0778583i
\(281\) 6.80275 9.36319i 0.405818 0.558561i −0.556374 0.830932i \(-0.687808\pi\)
0.962192 + 0.272371i \(0.0878078\pi\)
\(282\) 1.21183 3.40434i 0.0721637 0.202726i
\(283\) −2.30536 14.5554i −0.137039 0.865231i −0.956423 0.291986i \(-0.905684\pi\)
0.819384 0.573246i \(-0.194316\pi\)
\(284\) 3.21996 2.07607i 0.191069 0.123192i
\(285\) −4.03439 2.74680i −0.238977 0.162707i
\(286\) −19.0792 20.1714i −1.12817 1.19276i
\(287\) 3.56668 10.9771i 0.210534 0.647958i
\(288\) −4.27548 12.3960i −0.251935 0.730439i
\(289\) 2.69536 + 8.29546i 0.158551 + 0.487969i
\(290\) 0.0737288 + 26.8971i 0.00432950 + 1.57945i
\(291\) −5.38266 10.5641i −0.315537 0.619276i
\(292\) −7.73222 29.2407i −0.452494 1.71118i
\(293\) 10.1048 + 10.1048i 0.590329 + 0.590329i 0.937720 0.347392i \(-0.112933\pi\)
−0.347392 + 0.937720i \(0.612933\pi\)
\(294\) 2.96402 2.02996i 0.172865 0.118390i
\(295\) −3.54239 + 27.8497i −0.206246 + 1.62147i
\(296\) 5.88102 14.0026i 0.341827 0.813886i
\(297\) 11.5686 + 15.9228i 0.671278 + 0.923935i
\(298\) −0.263004 + 9.45089i −0.0152354 + 0.547476i
\(299\) 11.7693 + 11.7693i 0.680638 + 0.680638i
\(300\) −1.33659 8.14947i −0.0771679 0.470510i
\(301\) 6.75757 6.75757i 0.389500 0.389500i
\(302\) −8.55634 + 8.09301i −0.492362 + 0.465700i
\(303\) −10.0190 + 7.27920i −0.575574 + 0.418179i
\(304\) 10.5611 0.483976i 0.605720 0.0277579i
\(305\) 0.936543 0.513828i 0.0536263 0.0294217i
\(306\) −3.05665 + 16.3424i −0.174737 + 0.934235i
\(307\) −7.85474 + 7.85474i −0.448294 + 0.448294i −0.894787 0.446493i \(-0.852673\pi\)
0.446493 + 0.894787i \(0.352673\pi\)
\(308\) −8.92779 + 15.3468i −0.508708 + 0.874466i
\(309\) −10.5270 + 5.36379i −0.598862 + 0.305135i
\(310\) 25.4781 + 12.8939i 1.44706 + 0.732324i
\(311\) −31.5100 + 10.2382i −1.78677 + 0.580556i −0.999356 0.0358730i \(-0.988579\pi\)
−0.787411 + 0.616429i \(0.788579\pi\)
\(312\) −5.38961 + 8.69861i −0.305127 + 0.492462i
\(313\) −1.92698 0.626114i −0.108919 0.0353901i 0.254050 0.967191i \(-0.418237\pi\)
−0.362970 + 0.931801i \(0.618237\pi\)
\(314\) −18.8993 0.525940i −1.06655 0.0296805i
\(315\) 6.28604 + 8.11821i 0.354178 + 0.457410i
\(316\) 10.5161 + 16.3103i 0.591577 + 0.917529i
\(317\) 13.8367 2.19152i 0.777146 0.123088i 0.244753 0.969585i \(-0.421293\pi\)
0.532393 + 0.846498i \(0.321293\pi\)
\(318\) 4.91777 2.33576i 0.275775 0.130983i
\(319\) 30.8380 + 22.4051i 1.72659 + 1.25444i
\(320\) 12.9084 + 12.3844i 0.721601 + 0.692309i
\(321\) 7.28087 5.28986i 0.406378 0.295251i
\(322\) 5.09394 9.34527i 0.283874 0.520791i
\(323\) −11.9437 6.08564i −0.664567 0.338614i
\(324\) −4.20458 + 5.15751i −0.233588 + 0.286529i
\(325\) 14.5137 16.4061i 0.805077 0.910045i
\(326\) −5.07575 + 14.2590i −0.281120 + 0.789735i
\(327\) 3.69773 1.20146i 0.204485 0.0664411i
\(328\) −15.2566 + 6.23167i −0.842407 + 0.344086i
\(329\) −3.60258 4.95853i −0.198617 0.273372i
\(330\) −10.4424 5.28465i −0.574834 0.290910i
\(331\) 3.77752 + 23.8503i 0.207631 + 1.31093i 0.842661 + 0.538444i \(0.180988\pi\)
−0.635030 + 0.772487i \(0.719012\pi\)
\(332\) −0.344480 3.38434i −0.0189058 0.185740i
\(333\) −12.2934 + 1.94709i −0.673677 + 0.106700i
\(334\) −12.1138 + 1.57458i −0.662835 + 0.0861573i
\(335\) −1.85706 + 3.93773i −0.101462 + 0.215141i
\(336\) 6.30937 + 1.73507i 0.344204 + 0.0946557i
\(337\) 4.20205 12.9326i 0.228900 0.704483i −0.768972 0.639283i \(-0.779231\pi\)
0.997872 0.0652004i \(-0.0207687\pi\)
\(338\) −8.68420 + 1.12880i −0.472358 + 0.0613985i
\(339\) 0.270749 + 0.137954i 0.0147051 + 0.00749262i
\(340\) −6.46579 21.7403i −0.350657 1.17903i
\(341\) 36.0565 18.3717i 1.95257 0.994883i
\(342\) −4.89577 7.14850i −0.264733 0.386546i
\(343\) 19.9596i 1.07772i
\(344\) −13.5979 1.13758i −0.733152 0.0613343i
\(345\) 6.34559 + 2.99263i 0.341635 + 0.161118i
\(346\) 0.467017 + 1.58618i 0.0251070 + 0.0852734i
\(347\) −21.2502 3.36569i −1.14077 0.180680i −0.442672 0.896684i \(-0.645969\pi\)
−0.698096 + 0.716004i \(0.745969\pi\)
\(348\) 5.07756 13.0988i 0.272186 0.702170i
\(349\) 9.37457 9.37457i 0.501809 0.501809i −0.410191 0.912000i \(-0.634538\pi\)
0.912000 + 0.410191i \(0.134538\pi\)
\(350\) −12.6852 5.94000i −0.678054 0.317506i
\(351\) 19.2400 1.02695
\(352\) 24.9636 4.41514i 1.33056 0.235327i
\(353\) −11.1518 + 8.10229i −0.593553 + 0.431241i −0.843585 0.536996i \(-0.819559\pi\)
0.250032 + 0.968238i \(0.419559\pi\)
\(354\) 7.01783 12.8748i 0.372993 0.684287i
\(355\) 4.28143 0.130892i 0.227235 0.00694701i
\(356\) −4.56479 17.2625i −0.241933 0.914911i
\(357\) −5.86674 5.86674i −0.310501 0.310501i
\(358\) −8.58400 + 5.87890i −0.453679 + 0.310709i
\(359\) 10.9080 + 3.54423i 0.575703 + 0.187057i 0.582374 0.812921i \(-0.302124\pi\)
−0.00667193 + 0.999978i \(0.502124\pi\)
\(360\) 3.05581 14.3383i 0.161056 0.755694i
\(361\) −11.4263 + 3.71263i −0.601385 + 0.195402i
\(362\) 11.8790 15.4285i 0.624347 0.810906i
\(363\) −6.68392 + 3.40563i −0.350815 + 0.178749i
\(364\) 7.00735 + 15.8788i 0.367285 + 0.832277i
\(365\) 9.46200 32.4650i 0.495264 1.69929i
\(366\) −0.553290 + 0.0719183i −0.0289209 + 0.00375923i
\(367\) −3.33600 2.42374i −0.174138 0.126518i 0.497302 0.867577i \(-0.334324\pi\)
−0.671440 + 0.741059i \(0.734324\pi\)
\(368\) −14.8855 + 3.06201i −0.775961 + 0.159618i
\(369\) 10.9267 + 7.93872i 0.568822 + 0.413273i
\(370\) 13.7098 10.0183i 0.712738 0.520826i
\(371\) 1.44454 9.12044i 0.0749966 0.473510i
\(372\) −9.94323 11.1162i −0.515532 0.576350i
\(373\) −9.14927 + 17.9564i −0.473731 + 0.929750i 0.523256 + 0.852176i \(0.324717\pi\)
−0.996987 + 0.0775737i \(0.975283\pi\)
\(374\) −30.2820 10.7794i −1.56585 0.557389i
\(375\) 3.42090 8.57600i 0.176655 0.442863i
\(376\) −2.08485 + 8.49942i −0.107518 + 0.438324i
\(377\) 35.4387 11.5147i 1.82518 0.593038i
\(378\) −3.47494 11.8023i −0.178732 0.607045i
\(379\) −20.0754 3.17964i −1.03121 0.163327i −0.382176 0.924090i \(-0.624825\pi\)
−0.649030 + 0.760763i \(0.724825\pi\)
\(380\) 10.3938 + 5.62861i 0.533193 + 0.288742i
\(381\) 8.41248 1.33241i 0.430984 0.0682612i
\(382\) −20.6719 + 9.81838i −1.05767 + 0.502352i
\(383\) 0.0179625 + 0.0130506i 0.000917843 + 0.000666852i 0.588244 0.808683i \(-0.299819\pi\)
−0.587326 + 0.809350i \(0.699819\pi\)
\(384\) −3.92522 8.47874i −0.200308 0.432679i
\(385\) −17.4032 + 9.54814i −0.886948 + 0.486618i
\(386\) −12.0658 12.7566i −0.614134 0.649293i
\(387\) 5.07694 + 9.96406i 0.258076 + 0.506502i
\(388\) 15.5594 + 24.1324i 0.789908 + 1.22514i
\(389\) 11.6667 22.8972i 0.591525 1.16093i −0.380220 0.924896i \(-0.624152\pi\)
0.971744 0.236036i \(-0.0758484\pi\)
\(390\) −10.1796 + 5.22194i −0.515462 + 0.264423i
\(391\) 18.3259 + 5.95444i 0.926779 + 0.301129i
\(392\) −6.64351 + 5.61776i −0.335548 + 0.283740i
\(393\) 15.0556i 0.759453i
\(394\) −4.56025 6.65859i −0.229742 0.335455i
\(395\) 0.663018 + 21.6871i 0.0333600 + 1.09120i
\(396\) −13.8511 15.4852i −0.696046 0.778160i
\(397\) 0.271538 1.71442i 0.0136281 0.0860444i −0.979937 0.199308i \(-0.936131\pi\)
0.993565 + 0.113264i \(0.0361305\pi\)
\(398\) 4.21144 3.98339i 0.211101 0.199670i
\(399\) 4.32375 0.216458
\(400\) 5.21886 + 19.3071i 0.260943 + 0.965354i
\(401\) 12.7442 0.636414 0.318207 0.948021i \(-0.396919\pi\)
0.318207 + 0.948021i \(0.396919\pi\)
\(402\) 1.65202 1.56257i 0.0823954 0.0779337i
\(403\) 6.18840 39.0720i 0.308266 1.94631i
\(404\) 22.3540 19.9951i 1.11215 0.994795i
\(405\) −7.00195 + 2.51411i −0.347930 + 0.124927i
\(406\) −13.4640 19.6593i −0.668207 0.975675i
\(407\) 24.0636i 1.19279i
\(408\) −0.987616 + 11.8054i −0.0488943 + 0.584452i
\(409\) −25.4669 8.27469i −1.25926 0.409157i −0.398027 0.917374i \(-0.630305\pi\)
−0.861229 + 0.508217i \(0.830305\pi\)
\(410\) −18.2065 2.83248i −0.899153 0.139886i
\(411\) 4.13647 8.11828i 0.204037 0.400445i
\(412\) 24.0478 15.5049i 1.18475 0.763869i
\(413\) −11.2910 22.1598i −0.555592 1.09041i
\(414\) 8.55836 + 9.04833i 0.420621 + 0.444701i
\(415\) 1.62233 3.44000i 0.0796370 0.168863i
\(416\) 10.8522 22.2797i 0.532073 1.09235i
\(417\) −9.80229 7.12178i −0.480020 0.348755i
\(418\) 15.1310 7.18665i 0.740081 0.351510i
\(419\) −20.7519 + 3.28678i −1.01380 + 0.160570i −0.641161 0.767407i \(-0.721547\pi\)
−0.372638 + 0.927977i \(0.621547\pi\)
\(420\) 5.04181 + 5.30127i 0.246015 + 0.258675i
\(421\) 8.11797 + 1.28576i 0.395646 + 0.0626641i 0.351088 0.936343i \(-0.385812\pi\)
0.0445583 + 0.999007i \(0.485812\pi\)
\(422\) −6.08617 20.6711i −0.296270 1.00625i
\(423\) 6.82105 2.21629i 0.331651 0.107760i
\(424\) −11.2758 + 6.83367i −0.547601 + 0.331872i
\(425\) 6.34835 24.5511i 0.307940 1.19090i
\(426\) −2.10770 0.750270i −0.102118 0.0363507i
\(427\) −0.429628 + 0.843193i −0.0207912 + 0.0408049i
\(428\) −16.2448 + 14.5306i −0.785224 + 0.702365i
\(429\) −2.53635 + 16.0139i −0.122456 + 0.773159i
\(430\) −12.3670 8.93343i −0.596388 0.430808i
\(431\) 2.21446 + 1.60890i 0.106667 + 0.0774981i 0.639840 0.768508i \(-0.279001\pi\)
−0.533173 + 0.846006i \(0.679001\pi\)
\(432\) −9.66428 + 14.6699i −0.464973 + 0.705806i
\(433\) −8.63097 6.27077i −0.414778 0.301354i 0.360755 0.932660i \(-0.382519\pi\)
−0.775533 + 0.631307i \(0.782519\pi\)
\(434\) −25.0854 + 3.26068i −1.20414 + 0.156518i
\(435\) 12.4190 9.61616i 0.595443 0.461060i
\(436\) −8.61445 + 3.80157i −0.412557 + 0.182062i
\(437\) −8.94721 + 4.55883i −0.428003 + 0.218079i
\(438\) −10.7750 + 13.9946i −0.514848 + 0.668688i
\(439\) 32.0886 10.4262i 1.53151 0.497617i 0.582489 0.812839i \(-0.302079\pi\)
0.949018 + 0.315222i \(0.102079\pi\)
\(440\) 26.4553 + 10.1717i 1.26120 + 0.484915i
\(441\) 6.78124 + 2.20336i 0.322916 + 0.104922i
\(442\) −25.9249 + 17.7551i −1.23312 + 0.844524i
\(443\) −8.97636 8.97636i −0.426480 0.426480i 0.460948 0.887427i \(-0.347510\pi\)
−0.887427 + 0.460948i \(0.847510\pi\)
\(444\) −8.57407 + 2.26727i −0.406907 + 0.107600i
\(445\) 5.58599 19.1660i 0.264801 0.908557i
\(446\) −1.55156 + 2.84647i −0.0734687 + 0.134784i
\(447\) 4.46660 3.24517i 0.211263 0.153491i
\(448\) −15.6269 2.63308i −0.738304 0.124401i
\(449\) 7.42965 0.350627 0.175313 0.984513i \(-0.443906\pi\)
0.175313 + 0.984513i \(0.443906\pi\)
\(450\) 11.1976 11.9695i 0.527862 0.564247i
\(451\) −18.4639 + 18.4639i −0.869433 + 0.869433i
\(452\) −0.686160 0.265980i −0.0322742 0.0125106i
\(453\) 6.79279 + 1.07587i 0.319153 + 0.0505489i
\(454\) 6.68274 + 22.6973i 0.313636 + 1.06524i
\(455\) −2.44851 + 19.2498i −0.114788 + 0.902445i
\(456\) −3.98630 4.71417i −0.186676 0.220761i
\(457\) 2.59751i 0.121506i −0.998153 0.0607531i \(-0.980650\pi\)
0.998153 0.0607531i \(-0.0193502\pi\)
\(458\) −11.8447 17.2949i −0.553468 0.808139i
\(459\) 19.8462 10.1121i 0.926342 0.471995i
\(460\) −16.0226 5.65408i −0.747058 0.263623i
\(461\) −18.4090 9.37985i −0.857393 0.436863i −0.0307077 0.999528i \(-0.509776\pi\)
−0.826685 + 0.562665i \(0.809776\pi\)
\(462\) 10.2814 1.33641i 0.478336 0.0621755i
\(463\) −10.3152 + 31.7469i −0.479388 + 1.47540i 0.360559 + 0.932736i \(0.382586\pi\)
−0.839947 + 0.542668i \(0.817414\pi\)
\(464\) −9.02127 + 32.8048i −0.418802 + 1.52292i
\(465\) −3.11056 16.3821i −0.144249 0.759701i
\(466\) 42.6001 5.53729i 1.97341 0.256510i
\(467\) −12.5875 + 1.99367i −0.582481 + 0.0922559i −0.440720 0.897645i \(-0.645277\pi\)
−0.141762 + 0.989901i \(0.545277\pi\)
\(468\) −20.2054 + 2.05664i −0.933997 + 0.0950681i
\(469\) −0.603345 3.80937i −0.0278599 0.175900i
\(470\) −6.89959 + 6.93752i −0.318254 + 0.320004i
\(471\) 6.48950 + 8.93203i 0.299020 + 0.411566i
\(472\) −13.7510 + 32.7408i −0.632939 + 1.50702i
\(473\) −20.5622 + 6.68107i −0.945451 + 0.307196i
\(474\) 3.80041 10.6763i 0.174559 0.490379i
\(475\) 6.70766 + 11.3863i 0.307769 + 0.522442i
\(476\) 15.5737 + 12.6962i 0.713821 + 0.581931i
\(477\) 9.62779 + 4.90560i 0.440826 + 0.224612i
\(478\) 14.4872 26.5780i 0.662631 1.21565i
\(479\) −12.9537 + 9.41144i −0.591871 + 0.430020i −0.842984 0.537938i \(-0.819203\pi\)
0.251113 + 0.967958i \(0.419203\pi\)
\(480\) 1.13164 10.3846i 0.0516518 0.473990i
\(481\) −19.0310 13.8268i −0.867740 0.630450i
\(482\) −12.2794 + 5.83223i −0.559310 + 0.265651i
\(483\) −6.13874 + 0.972280i −0.279322 + 0.0442403i
\(484\) 15.2687 9.84448i 0.694031 0.447477i
\(485\) 0.980986 + 32.0877i 0.0445443 + 1.45703i
\(486\) 22.5098 + 0.626414i 1.02107 + 0.0284147i
\(487\) −38.6500 12.5581i −1.75140 0.569063i −0.755144 0.655559i \(-0.772433\pi\)
−0.996252 + 0.0864954i \(0.972433\pi\)
\(488\) 1.31543 0.308964i 0.0595466 0.0139861i
\(489\) 8.40584 2.73122i 0.380125 0.123510i
\(490\) −9.60328 + 1.54801i −0.433832 + 0.0699318i
\(491\) 17.0078 8.66593i 0.767553 0.391088i −0.0259429 0.999663i \(-0.508259\pi\)
0.793496 + 0.608576i \(0.208259\pi\)
\(492\) 8.31852 + 4.83918i 0.375028 + 0.218167i
\(493\) 30.5034 30.5034i 1.37380 1.37380i
\(494\) 3.01054 16.0959i 0.135451 0.724190i
\(495\) −4.33309 22.8206i −0.194758 1.02571i
\(496\) 26.6828 + 24.3444i 1.19809 + 1.09310i
\(497\) −3.06992 + 2.23043i −0.137705 + 0.100048i
\(498\) −1.44321 + 1.36506i −0.0646716 + 0.0611696i
\(499\) 14.3048 14.3048i 0.640372 0.640372i −0.310275 0.950647i \(-0.600421\pi\)
0.950647 + 0.310275i \(0.100421\pi\)
\(500\) −6.13897 + 21.5015i −0.274543 + 0.961575i
\(501\) 5.04406 + 5.04406i 0.225352 + 0.225352i
\(502\) 0.365798 13.1447i 0.0163264 0.586677i
\(503\) 15.3316 + 21.1021i 0.683602 + 0.940897i 0.999970 0.00773958i \(-0.00246361\pi\)
−0.316369 + 0.948636i \(0.602464\pi\)
\(504\) 4.91090 + 12.0231i 0.218749 + 0.535551i
\(505\) 32.9432 6.25512i 1.46595 0.278349i
\(506\) −19.8665 + 13.6059i −0.883174 + 0.604856i
\(507\) 3.61602 + 3.61602i 0.160593 + 0.160593i
\(508\) −19.9418 + 5.27328i −0.884774 + 0.233964i
\(509\) −9.90881 19.4471i −0.439200 0.861979i −0.999434 0.0336445i \(-0.989289\pi\)
0.560233 0.828335i \(-0.310711\pi\)
\(510\) −7.75575 + 10.7366i −0.343431 + 0.475427i
\(511\) 9.25719 + 28.4907i 0.409514 + 1.26035i
\(512\) 11.5365 + 19.4656i 0.509846 + 0.860265i
\(513\) −3.58697 + 11.0396i −0.158369 + 0.487408i
\(514\) 22.5619 + 23.8535i 0.995162 + 1.05213i
\(515\) 31.9753 0.977547i 1.40900 0.0430759i
\(516\) 4.31789 + 6.69699i 0.190084 + 0.294819i
\(517\) 2.16913 + 13.6953i 0.0953981 + 0.602320i
\(518\) −5.04454 + 14.1714i −0.221645 + 0.622655i
\(519\) 0.567546 0.781160i 0.0249125 0.0342891i
\(520\) 23.2454 15.0779i 1.01938 0.661208i
\(521\) −10.4188 14.3402i −0.456454 0.628255i 0.517315 0.855795i \(-0.326932\pi\)
−0.973769 + 0.227540i \(0.926932\pi\)
\(522\) 26.7475 7.87523i 1.17070 0.344689i
\(523\) 0.870155 1.70778i 0.0380492 0.0746758i −0.871199 0.490930i \(-0.836657\pi\)
0.909248 + 0.416254i \(0.136657\pi\)
\(524\) −3.69220 36.2741i −0.161295 1.58464i
\(525\) 1.77067 + 7.98553i 0.0772785 + 0.348517i
\(526\) 8.91795 + 18.7761i 0.388841 + 0.818678i
\(527\) −14.1521 43.5556i −0.616474 1.89731i
\(528\) −10.9361 9.97770i −0.475933 0.434224i
\(529\) −6.92952 + 5.03459i −0.301284 + 0.218895i
\(530\) −14.7411 + 0.0404076i −0.640314 + 0.00175519i
\(531\) 28.7445 4.55267i 1.24740 0.197569i
\(532\) −10.4174 + 1.06035i −0.451651 + 0.0459719i
\(533\) 3.99314 + 25.2117i 0.172962 + 1.09204i
\(534\) −6.36112 + 8.26185i −0.275272 + 0.357525i
\(535\) −23.9401 + 4.54565i −1.03502 + 0.196526i
\(536\) −3.59709 + 4.16990i −0.155371 + 0.180112i
\(537\) 5.77818 + 1.87745i 0.249347 + 0.0810178i
\(538\) −15.4700 11.9109i −0.666959 0.513517i
\(539\) −6.25831 + 12.2826i −0.269565 + 0.529051i
\(540\) −17.7181 + 8.47501i −0.762464 + 0.364707i
\(541\) 8.10384 + 15.9047i 0.348411 + 0.683796i 0.997005 0.0773393i \(-0.0246425\pi\)
−0.648594 + 0.761135i \(0.724642\pi\)
\(542\) 9.97738 + 1.86614i 0.428565 + 0.0801577i
\(543\) −11.3706 −0.487960
\(544\) −0.515618 28.6854i −0.0221069 1.22987i
\(545\) −10.4432 1.32834i −0.447339 0.0569000i
\(546\) 4.85074 8.89909i 0.207593 0.380846i
\(547\) 2.98564 18.8506i 0.127657 0.805992i −0.837905 0.545816i \(-0.816220\pi\)
0.965561 0.260175i \(-0.0837804\pi\)
\(548\) −7.97526 + 20.5741i −0.340686 + 0.878883i
\(549\) −0.783034 0.783034i −0.0334191 0.0334191i
\(550\) 19.4695 + 25.0023i 0.830183 + 1.06610i
\(551\) 22.4808i 0.957713i
\(552\) 6.71972 + 5.79665i 0.286010 + 0.246722i
\(553\) −11.2980 15.5503i −0.480439 0.661268i
\(554\) 21.9948 6.47592i 0.934471 0.275135i
\(555\) −9.51952 2.77449i −0.404081 0.117771i
\(556\) 25.3636 + 14.7549i 1.07566 + 0.625748i
\(557\) −12.8270 + 12.8270i −0.543498 + 0.543498i −0.924553 0.381055i \(-0.875561\pi\)
0.381055 + 0.924553i \(0.375561\pi\)
\(558\) 5.44216 29.0967i 0.230385 1.23176i
\(559\) −6.53114 + 20.1008i −0.276238 + 0.850172i
\(560\) −13.4475 11.5361i −0.568261 0.487490i
\(561\) 5.80031 + 17.8515i 0.244889 + 0.753692i
\(562\) 16.2309 2.10974i 0.684660 0.0889941i
\(563\) 5.90331 + 11.5859i 0.248795 + 0.488287i 0.981303 0.192471i \(-0.0616502\pi\)
−0.732508 + 0.680759i \(0.761650\pi\)
\(564\) 4.67538 2.06325i 0.196869 0.0868785i
\(565\) −0.503727 0.650546i −0.0211919 0.0273687i
\(566\) 12.7144 16.5135i 0.534425 0.694114i
\(567\) 3.87390 5.33196i 0.162688 0.223921i
\(568\) 5.26216 + 1.29077i 0.220795 + 0.0541595i
\(569\) −25.8942 + 35.6403i −1.08554 + 1.49412i −0.232273 + 0.972651i \(0.574616\pi\)
−0.853269 + 0.521470i \(0.825384\pi\)
\(570\) −1.09845 6.81439i −0.0460090 0.285423i
\(571\) −21.0424 3.33279i −0.880598 0.139473i −0.300268 0.953855i \(-0.597076\pi\)
−0.580329 + 0.814382i \(0.697076\pi\)
\(572\) 2.18373 39.2050i 0.0913061 1.63924i
\(573\) 11.9073 + 6.06706i 0.497433 + 0.253455i
\(574\) 14.7443 7.00299i 0.615415 0.292299i
\(575\) −12.0838 14.6577i −0.503930 0.611268i
\(576\) 8.58110 16.4391i 0.357546 0.684962i
\(577\) −2.08438 6.41508i −0.0867741 0.267063i 0.898249 0.439488i \(-0.144840\pi\)
−0.985023 + 0.172424i \(0.944840\pi\)
\(578\) −5.90368 + 10.8308i −0.245561 + 0.450501i
\(579\) −1.60401 + 10.1273i −0.0666604 + 0.420877i
\(580\) −27.5633 + 26.2142i −1.14450 + 1.08849i
\(581\) 0.527082 + 3.32786i 0.0218670 + 0.138063i
\(582\) 5.62300 15.7964i 0.233081 0.654783i
\(583\) −12.2793 + 16.9010i −0.508555 + 0.699966i
\(584\) 22.5286 36.3603i 0.932241 1.50460i
\(585\) −20.5377 9.68574i −0.849131 0.400456i
\(586\) −0.562185 + 20.2018i −0.0232237 + 0.834528i
\(587\) −3.49332 + 1.77994i −0.144185 + 0.0734659i −0.524594 0.851352i \(-0.675783\pi\)
0.380410 + 0.924818i \(0.375783\pi\)
\(588\) 4.96606 + 1.07262i 0.204797 + 0.0442341i
\(589\) 21.2651 + 10.8351i 0.876212 + 0.446452i
\(590\) −32.0562 + 23.4247i −1.31973 + 0.964379i
\(591\) −1.45633 + 4.48213i −0.0599055 + 0.184370i
\(592\) 20.1019 7.56533i 0.826182 0.310933i
\(593\) −3.78706 −0.155516 −0.0777580 0.996972i \(-0.524776\pi\)
−0.0777580 + 0.996972i \(0.524776\pi\)
\(594\) −5.11727 + 27.3596i −0.209964 + 1.12258i
\(595\) 7.59165 + 21.1432i 0.311227 + 0.866788i
\(596\) −9.96573 + 8.91412i −0.408212 + 0.365136i
\(597\) −3.34342 0.529546i −0.136837 0.0216729i
\(598\) −0.654792 + 23.5295i −0.0267764 + 0.962195i
\(599\) 25.6412i 1.04767i 0.851820 + 0.523835i \(0.175499\pi\)
−0.851820 + 0.523835i \(0.824501\pi\)
\(600\) 7.07412 9.29286i 0.288800 0.379380i
\(601\) 17.5552i 0.716092i 0.933704 + 0.358046i \(0.116557\pi\)
−0.933704 + 0.358046i \(0.883443\pi\)
\(602\) 13.5099 + 0.375961i 0.550623 + 0.0153230i
\(603\) 4.45762 + 0.706018i 0.181528 + 0.0287513i
\(604\) −16.6300 0.926294i −0.676666 0.0376904i
\(605\) 20.3020 0.620673i 0.825395 0.0252340i
\(606\) −17.2153 3.21990i −0.699322 0.130799i
\(607\) −8.20631 −0.333084 −0.166542 0.986034i \(-0.553260\pi\)
−0.166542 + 0.986034i \(0.553260\pi\)
\(608\) 10.7605 + 10.3805i 0.436394 + 0.420983i
\(609\) −4.29978 + 13.2333i −0.174236 + 0.536242i
\(610\) 1.43805 + 0.462897i 0.0582250 + 0.0187421i
\(611\) 12.0775 + 6.15379i 0.488603 + 0.248956i
\(612\) −19.7612 + 12.7410i −0.798797 + 0.515025i
\(613\) 42.3019 21.5539i 1.70856 0.870553i 0.725275 0.688459i \(-0.241712\pi\)
0.983281 0.182094i \(-0.0582876\pi\)
\(614\) −15.7034 0.437002i −0.633738 0.0176360i
\(615\) 5.17544 + 9.43314i 0.208694 + 0.380381i
\(616\) −24.4438 + 5.74128i −0.984867 + 0.231323i
\(617\) 17.0984 23.5339i 0.688355 0.947439i −0.311642 0.950200i \(-0.600879\pi\)
0.999996 + 0.00276096i \(0.000878842\pi\)
\(618\) −15.7410 5.60329i −0.633198 0.225397i
\(619\) −4.58653 28.9582i −0.184348 1.16393i −0.890200 0.455570i \(-0.849436\pi\)
0.705852 0.708359i \(-0.250564\pi\)
\(620\) 11.5119 + 38.7072i 0.462330 + 1.55452i
\(621\) 2.61022 16.4803i 0.104744 0.661330i
\(622\) −41.1403 22.4249i −1.64958 0.899156i
\(623\) 5.46508 + 16.8198i 0.218954 + 0.673870i
\(624\) −14.1748 + 2.91581i −0.567447 + 0.116726i
\(625\) −18.2825 + 17.0514i −0.731301 + 0.682055i
\(626\) −1.22934 2.58830i −0.0491344 0.103449i
\(627\) −8.71563 4.44083i −0.348069 0.177350i
\(628\) −17.8259 19.9289i −0.711331 0.795248i
\(629\) −26.8978 4.26019i −1.07248 0.169865i
\(630\) −2.23216 + 14.3477i −0.0889313 + 0.571627i
\(631\) 17.5904 24.2111i 0.700264 0.963831i −0.299688 0.954037i \(-0.596883\pi\)
0.999952 0.00979332i \(-0.00311736\pi\)
\(632\) −6.53826 + 26.6549i −0.260078 + 1.06027i
\(633\) −7.39627 + 10.1801i −0.293975 + 0.404622i
\(634\) 15.6981 + 12.0865i 0.623450 + 0.480018i
\(635\) −22.1407 6.45298i −0.878628 0.256079i
\(636\) 7.17890 + 2.78279i 0.284662 + 0.110345i
\(637\) 6.11787 + 12.0070i 0.242399 + 0.475735i
\(638\) 6.94850 + 53.4570i 0.275094 + 2.11638i
\(639\) −1.37215 4.22305i −0.0542814 0.167061i
\(640\) −0.179798 + 25.2976i −0.00710713 + 0.999975i
\(641\) −5.93284 + 18.2594i −0.234333 + 0.721203i 0.762876 + 0.646545i \(0.223787\pi\)
−0.997209 + 0.0746584i \(0.976213\pi\)
\(642\) 12.5105 + 2.33993i 0.493749 + 0.0923495i
\(643\) 9.37168 9.37168i 0.369583 0.369583i −0.497742 0.867325i \(-0.665837\pi\)
0.867325 + 0.497742i \(0.165837\pi\)
\(644\) 14.5519 3.84801i 0.573425 0.151633i
\(645\) 0.272233 + 8.90467i 0.0107192 + 0.350621i
\(646\) −5.35430 18.1854i −0.210662 0.715493i
\(647\) 6.25920 + 8.61505i 0.246075 + 0.338693i 0.914132 0.405417i \(-0.132874\pi\)
−0.668057 + 0.744110i \(0.732874\pi\)
\(648\) −9.38498 + 0.692132i −0.368677 + 0.0271895i
\(649\) 56.2655i 2.20861i
\(650\) 30.9605 1.03148i 1.21437 0.0404578i
\(651\) 10.4454 + 10.4454i 0.409386 + 0.409386i
\(652\) −19.5828 + 8.64189i −0.766920 + 0.338443i
\(653\) −4.05765 + 25.6190i −0.158788 + 1.00255i 0.771636 + 0.636065i \(0.219439\pi\)
−0.930424 + 0.366485i \(0.880561\pi\)
\(654\) 4.82786 + 2.63158i 0.188784 + 0.102903i
\(655\) 17.3884 36.8706i 0.679423 1.44065i
\(656\) −21.2289 9.61923i −0.828850 0.375568i
\(657\) −35.0547 −1.36762
\(658\) 1.59357 8.52008i 0.0621239 0.332147i
\(659\) 4.71678 + 9.25721i 0.183740 + 0.360610i 0.964442 0.264293i \(-0.0851386\pi\)
−0.780703 + 0.624903i \(0.785139\pi\)
\(660\) −4.71824 15.8644i −0.183657 0.617521i
\(661\) 13.9120 27.3039i 0.541116 1.06200i −0.444936 0.895562i \(-0.646774\pi\)
0.986052 0.166437i \(-0.0532264\pi\)
\(662\) −20.8336 + 27.0587i −0.809719 + 1.05167i
\(663\) 17.4509 + 5.67015i 0.677738 + 0.220210i
\(664\) 3.14241 3.64282i 0.121949 0.141369i
\(665\) −10.5887 4.99371i −0.410612 0.193648i
\(666\) −13.9472 10.7385i −0.540444 0.416108i
\(667\) −5.05525 31.9176i −0.195740 1.23585i
\(668\) −13.3899 10.9159i −0.518069 0.422348i
\(669\) 1.86980 0.296147i 0.0722906 0.0114497i
\(670\) −5.85043 + 1.91867i −0.226022 + 0.0741246i
\(671\) 1.73205 1.25841i 0.0668652 0.0485804i
\(672\) 4.34875 + 8.16857i 0.167757 + 0.315109i
\(673\) −2.55185 7.85379i −0.0983666 0.302741i 0.889750 0.456448i \(-0.150879\pi\)
−0.988116 + 0.153707i \(0.950879\pi\)
\(674\) 17.3709 8.25051i 0.669101 0.317798i
\(675\) −21.8579 2.10383i −0.841312 0.0809765i
\(676\) −9.59902 7.82545i −0.369193 0.300979i
\(677\) 11.8690 23.2942i 0.456162 0.895269i −0.542319 0.840173i \(-0.682453\pi\)
0.998481 0.0550963i \(-0.0175466\pi\)
\(678\) 0.121375 + 0.412239i 0.00466138 + 0.0158319i
\(679\) −16.7163 23.0079i −0.641511 0.882964i
\(680\) 16.0532 27.7703i 0.615614 1.06494i
\(681\) 8.12126 11.1780i 0.311207 0.428340i
\(682\) 53.9152 + 19.1920i 2.06452 + 0.734900i
\(683\) 2.27173 + 14.3431i 0.0869252 + 0.548824i 0.992265 + 0.124137i \(0.0396161\pi\)
−0.905340 + 0.424688i \(0.860384\pi\)
\(684\) 2.58690 11.9769i 0.0989126 0.457950i
\(685\) −19.5063 + 15.1040i −0.745296 + 0.577093i
\(686\) 20.5071 19.3967i 0.782966 0.740568i
\(687\) −3.78265 + 11.6418i −0.144317 + 0.444163i
\(688\) −12.0456 15.0764i −0.459235 0.574784i
\(689\) 6.31072 + 19.4224i 0.240419 + 0.739934i
\(690\) 3.09190 + 9.42787i 0.117707 + 0.358913i
\(691\) −22.8190 44.7847i −0.868074 1.70369i −0.695286 0.718733i \(-0.744722\pi\)
−0.172788 0.984959i \(-0.555278\pi\)
\(692\) −1.17584 + 2.02127i −0.0446988 + 0.0768370i
\(693\) 14.5506 + 14.5506i 0.552733 + 0.552733i
\(694\) −17.1928 25.1038i −0.652629 0.952928i
\(695\) 15.7802 + 28.7622i 0.598576 + 1.09101i
\(696\) 18.3925 7.51252i 0.697165 0.284761i
\(697\) 17.3697 + 23.9074i 0.657925 + 0.905556i
\(698\) 18.7419 + 0.521558i 0.709390 + 0.0197413i
\(699\) −17.7383 17.7383i −0.670924 0.670924i
\(700\) −6.22452 18.8057i −0.235265 0.710787i
\(701\) 19.1220 19.1220i 0.722230 0.722230i −0.246829 0.969059i \(-0.579389\pi\)
0.969059 + 0.246829i \(0.0793887\pi\)
\(702\) 18.6973 + 19.7678i 0.705685 + 0.746086i
\(703\) 11.4816 8.34187i 0.433037 0.314620i
\(704\) 28.7958 + 21.3578i 1.08528 + 0.804951i
\(705\) 5.66794 + 0.720942i 0.213467 + 0.0271522i
\(706\) −19.1619 3.58398i −0.721166 0.134885i
\(707\) −21.0049 + 21.0049i −0.789970 + 0.789970i
\(708\) 20.0478 5.30133i 0.753444 0.199236i
\(709\) −29.0961 + 14.8252i −1.09273 + 0.556771i −0.904983 0.425447i \(-0.860117\pi\)
−0.187742 + 0.982218i \(0.560117\pi\)
\(710\) 4.29515 + 4.27167i 0.161194 + 0.160313i
\(711\) 21.3914 6.95048i 0.802239 0.260663i
\(712\) 13.3000 21.4656i 0.498438 0.804459i
\(713\) −32.6281 10.6015i −1.22193 0.397029i
\(714\) 0.326399 11.7289i 0.0122152 0.438944i
\(715\) 24.7067 36.2882i 0.923979 1.35710i
\(716\) −14.3821 3.10638i −0.537483 0.116091i
\(717\) −17.4586 + 2.76518i −0.652005 + 0.103267i
\(718\) 6.95890 + 14.6515i 0.259704 + 0.546788i
\(719\) 0.801912 + 0.582623i 0.0299063 + 0.0217282i 0.602638 0.798015i \(-0.294116\pi\)
−0.572732 + 0.819743i \(0.694116\pi\)
\(720\) 17.7012 10.7942i 0.659686 0.402278i
\(721\) −22.9273 + 16.6577i −0.853857 + 0.620364i
\(722\) −14.9185 8.13182i −0.555209 0.302635i
\(723\) 7.07306 + 3.60390i 0.263050 + 0.134031i
\(724\) 27.3957 2.78851i 1.01815 0.103634i
\(725\) −41.5198 + 9.20639i −1.54201 + 0.341917i
\(726\) −9.99445 3.55769i −0.370929 0.132038i
\(727\) −5.17501 + 1.68146i −0.191931 + 0.0623620i −0.403405 0.915021i \(-0.632173\pi\)
0.211475 + 0.977383i \(0.432173\pi\)
\(728\) −9.50470 + 22.6305i −0.352268 + 0.838744i
\(729\) −1.86237 2.56333i −0.0689766 0.0949382i
\(730\) 42.5506 21.8278i 1.57487 0.807882i
\(731\) 3.82764 + 24.1667i 0.141570 + 0.893839i
\(732\) −0.611576 0.498577i −0.0226045 0.0184279i
\(733\) −14.4578 + 2.28990i −0.534012 + 0.0845792i −0.417616 0.908624i \(-0.637134\pi\)
−0.116396 + 0.993203i \(0.537134\pi\)
\(734\) −0.751677 5.78289i −0.0277449 0.213450i
\(735\) 4.13741 + 3.89194i 0.152611 + 0.143556i
\(736\) −17.6117 12.3182i −0.649175 0.454054i
\(737\) −2.69633 + 8.29846i −0.0993207 + 0.305678i
\(738\) 2.46204 + 18.9412i 0.0906289 + 0.697237i
\(739\) −39.6480 20.2017i −1.45848 0.743131i −0.468381 0.883526i \(-0.655163\pi\)
−0.990096 + 0.140395i \(0.955163\pi\)
\(740\) 23.6162 + 4.35015i 0.868149 + 0.159915i
\(741\) −8.52004 + 4.34118i −0.312991 + 0.159477i
\(742\) 10.7744 7.37904i 0.395541 0.270893i
\(743\) 19.5161i 0.715976i 0.933726 + 0.357988i \(0.116537\pi\)
−0.933726 + 0.357988i \(0.883463\pi\)
\(744\) 1.75839 21.0187i 0.0644656 0.770582i
\(745\) −14.6866 + 2.78862i −0.538074 + 0.102167i
\(746\) −27.3402 + 8.04975i −1.00100 + 0.294722i
\(747\) −3.89417 0.616776i −0.142480 0.0225667i
\(748\) −18.3528 41.5880i −0.671046 1.52061i
\(749\) 15.2644 15.2644i 0.557750 0.557750i
\(750\) 12.1357 4.81937i 0.443132 0.175979i
\(751\) −29.5916 −1.07981 −0.539906 0.841725i \(-0.681540\pi\)
−0.539906 + 0.841725i \(0.681540\pi\)
\(752\) −10.7586 + 6.11766i −0.392326 + 0.223088i
\(753\) −6.21234 + 4.51353i −0.226390 + 0.164482i
\(754\) 46.2697 + 25.2208i 1.68504 + 0.918488i
\(755\) −15.3927 10.4801i −0.560199 0.381410i
\(756\) 8.74912 15.0397i 0.318202 0.546988i
\(757\) 7.25463 + 7.25463i 0.263674 + 0.263674i 0.826545 0.562871i \(-0.190303\pi\)
−0.562871 + 0.826545i \(0.690303\pi\)
\(758\) −16.2424 23.7161i −0.589949 0.861407i
\(759\) 13.3728 + 4.34509i 0.485403 + 0.157717i
\(760\) 4.31769 + 16.1488i 0.156619 + 0.585779i
\(761\) −22.6660 + 7.36462i −0.821641 + 0.266967i −0.689520 0.724266i \(-0.742179\pi\)
−0.132120 + 0.991234i \(0.542179\pi\)
\(762\) 9.54416 + 7.34841i 0.345748 + 0.266205i
\(763\) 8.30959 4.23395i 0.300827 0.153279i
\(764\) −30.1766 11.6975i −1.09175 0.423201i
\(765\) −26.2755 + 0.803293i −0.949992 + 0.0290431i
\(766\) 0.00404738 + 0.0311377i 0.000146238 + 0.00112505i
\(767\) 44.4982 + 32.3298i 1.60674 + 1.16736i
\(768\) 4.89681 12.2725i 0.176698 0.442845i
\(769\) 13.0195 + 9.45920i 0.469494 + 0.341107i 0.797244 0.603657i \(-0.206290\pi\)
−0.327750 + 0.944764i \(0.606290\pi\)
\(770\) −26.7224 8.60171i −0.963008 0.309984i
\(771\) 2.99934 18.9371i 0.108019 0.682003i
\(772\) 1.38101 24.7936i 0.0497035 0.892340i
\(773\) 10.9940 21.5769i 0.395426 0.776067i