Properties

Label 150.2.l.a.47.4
Level $150$
Weight $2$
Character 150.47
Analytic conductor $1.198$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 150.l (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 47.4
Character \(\chi\) \(=\) 150.47
Dual form 150.2.l.a.83.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.453990 - 0.891007i) q^{2} +(1.32853 - 1.11131i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(1.92065 + 1.14503i) q^{5} +(-1.59332 - 0.679206i) q^{6} +(2.03922 + 2.03922i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.529988 - 2.95281i) q^{9} +O(q^{10})\) \(q+(-0.453990 - 0.891007i) q^{2} +(1.32853 - 1.11131i) q^{3} +(-0.587785 + 0.809017i) q^{4} +(1.92065 + 1.14503i) q^{5} +(-1.59332 - 0.679206i) q^{6} +(2.03922 + 2.03922i) q^{7} +(0.987688 + 0.156434i) q^{8} +(0.529988 - 2.95281i) q^{9} +(0.148273 - 2.23115i) q^{10} +(-2.60836 - 0.847507i) q^{11} +(0.118176 + 1.72801i) q^{12} +(-5.27002 - 2.68521i) q^{13} +(0.891173 - 2.74275i) q^{14} +(3.82413 - 0.613226i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(-0.936136 + 5.91053i) q^{17} +(-2.87159 + 0.868327i) q^{18} +(-3.04743 - 4.19443i) q^{19} +(-2.05528 + 0.880807i) q^{20} +(4.97538 + 0.442965i) q^{21} +(0.429036 + 2.70883i) q^{22} +(1.01194 - 0.515607i) q^{23} +(1.48602 - 0.889798i) q^{24} +(2.37780 + 4.39841i) q^{25} +5.91469i q^{26} +(-2.57738 - 4.51188i) q^{27} +(-2.84839 + 0.451141i) q^{28} +(2.34612 + 1.70456i) q^{29} +(-2.28251 - 3.12892i) q^{30} +(4.56563 - 3.31712i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-4.40713 + 1.77275i) q^{33} +(5.69132 - 1.84922i) q^{34} +(1.58166 + 6.25161i) q^{35} +(2.07736 + 2.16439i) q^{36} +(-3.66336 + 7.18975i) q^{37} +(-2.35376 + 4.61952i) q^{38} +(-9.98549 + 2.28924i) q^{39} +(1.71788 + 1.43139i) q^{40} +(-5.02666 + 1.63326i) q^{41} +(-1.86409 - 4.63420i) q^{42} +(-3.10789 + 3.10789i) q^{43} +(2.21880 - 1.61205i) q^{44} +(4.39899 - 5.06447i) q^{45} +(-0.918819 - 0.667561i) q^{46} +(4.58484 - 0.726167i) q^{47} +(-1.46746 - 0.920095i) q^{48} +1.31687i q^{49} +(2.83952 - 4.11548i) q^{50} +(5.32473 + 8.89266i) q^{51} +(5.27002 - 2.68521i) q^{52} +(-0.837944 - 5.29057i) q^{53} +(-2.85001 + 4.34482i) q^{54} +(-4.03933 - 4.61442i) q^{55} +(1.69511 + 2.33312i) q^{56} +(-8.70992 - 2.18579i) q^{57} +(0.453655 - 2.86426i) q^{58} +(-0.912145 - 2.80729i) q^{59} +(-1.75166 + 3.45423i) q^{60} +(-1.41844 + 4.36552i) q^{61} +(-5.02833 - 2.56206i) q^{62} +(7.10221 - 4.94069i) q^{63} +(0.951057 + 0.309017i) q^{64} +(-7.04723 - 11.1917i) q^{65} +(3.58033 + 3.12197i) q^{66} +(-0.455818 - 0.0721944i) q^{67} +(-4.23147 - 4.23147i) q^{68} +(0.771390 - 1.80957i) q^{69} +(4.85217 - 4.24744i) q^{70} +(3.36294 - 4.62869i) q^{71} +(0.985385 - 2.83355i) q^{72} +(4.12620 + 8.09812i) q^{73} +8.06924 q^{74} +(8.04698 + 3.20096i) q^{75} +5.18460 q^{76} +(-3.59077 - 7.04728i) q^{77} +(6.57304 + 7.85784i) q^{78} +(6.90557 - 9.50470i) q^{79} +(0.495476 - 2.18048i) q^{80} +(-8.43823 - 3.12991i) q^{81} +(3.73730 + 3.73730i) q^{82} +(11.9275 + 1.88912i) q^{83} +(-3.28282 + 3.76480i) q^{84} +(-8.56574 + 10.2802i) q^{85} +(4.18011 + 1.35820i) q^{86} +(5.01118 - 0.342708i) q^{87} +(-2.44367 - 1.24511i) q^{88} +(0.402182 - 1.23779i) q^{89} +(-6.50958 - 1.62030i) q^{90} +(-5.27101 - 16.2225i) q^{91} +(-0.177666 + 1.12174i) q^{92} +(2.37923 - 9.48072i) q^{93} +(-2.72849 - 3.75545i) q^{94} +(-1.05030 - 11.5455i) q^{95} +(-0.153600 + 1.72523i) q^{96} +(1.03381 + 6.52722i) q^{97} +(1.17334 - 0.597845i) q^{98} +(-3.88493 + 7.25283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.453990 0.891007i −0.321020 0.630037i
\(3\) 1.32853 1.11131i 0.767028 0.641614i
\(4\) −0.587785 + 0.809017i −0.293893 + 0.404508i
\(5\) 1.92065 + 1.14503i 0.858941 + 0.512074i
\(6\) −1.59332 0.679206i −0.650471 0.277285i
\(7\) 2.03922 + 2.03922i 0.770754 + 0.770754i 0.978238 0.207484i \(-0.0665276\pi\)
−0.207484 + 0.978238i \(0.566528\pi\)
\(8\) 0.987688 + 0.156434i 0.349201 + 0.0553079i
\(9\) 0.529988 2.95281i 0.176663 0.984271i
\(10\) 0.148273 2.23115i 0.0468882 0.705550i
\(11\) −2.60836 0.847507i −0.786450 0.255533i −0.111858 0.993724i \(-0.535680\pi\)
−0.674592 + 0.738191i \(0.735680\pi\)
\(12\) 0.118176 + 1.72801i 0.0341146 + 0.498835i
\(13\) −5.27002 2.68521i −1.46164 0.744744i −0.471116 0.882071i \(-0.656149\pi\)
−0.990526 + 0.137328i \(0.956149\pi\)
\(14\) 0.891173 2.74275i 0.238176 0.733031i
\(15\) 3.82413 0.613226i 0.987386 0.158334i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) −0.936136 + 5.91053i −0.227046 + 1.43351i 0.566026 + 0.824387i \(0.308480\pi\)
−0.793073 + 0.609127i \(0.791520\pi\)
\(18\) −2.87159 + 0.868327i −0.676839 + 0.204667i
\(19\) −3.04743 4.19443i −0.699129 0.962269i −0.999963 0.00859233i \(-0.997265\pi\)
0.300834 0.953677i \(-0.402735\pi\)
\(20\) −2.05528 + 0.880807i −0.459575 + 0.196954i
\(21\) 4.97538 + 0.442965i 1.08572 + 0.0966630i
\(22\) 0.429036 + 2.70883i 0.0914707 + 0.577523i
\(23\) 1.01194 0.515607i 0.211003 0.107512i −0.345295 0.938494i \(-0.612221\pi\)
0.556298 + 0.830983i \(0.312221\pi\)
\(24\) 1.48602 0.889798i 0.303333 0.181629i
\(25\) 2.37780 + 4.39841i 0.475561 + 0.879683i
\(26\) 5.91469i 1.15997i
\(27\) −2.57738 4.51188i −0.496017 0.868313i
\(28\) −2.84839 + 0.451141i −0.538296 + 0.0852576i
\(29\) 2.34612 + 1.70456i 0.435664 + 0.316528i 0.783910 0.620875i \(-0.213223\pi\)
−0.348246 + 0.937403i \(0.613223\pi\)
\(30\) −2.28251 3.12892i −0.416727 0.571261i
\(31\) 4.56563 3.31712i 0.820011 0.595773i −0.0967046 0.995313i \(-0.530830\pi\)
0.916716 + 0.399540i \(0.130830\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −4.40713 + 1.77275i −0.767182 + 0.308596i
\(34\) 5.69132 1.84922i 0.976053 0.317139i
\(35\) 1.58166 + 6.25161i 0.267350 + 1.05672i
\(36\) 2.07736 + 2.16439i 0.346226 + 0.360732i
\(37\) −3.66336 + 7.18975i −0.602253 + 1.18199i 0.365671 + 0.930744i \(0.380839\pi\)
−0.967924 + 0.251243i \(0.919161\pi\)
\(38\) −2.35376 + 4.61952i −0.381830 + 0.749384i
\(39\) −9.98549 + 2.28924i −1.59896 + 0.366571i
\(40\) 1.71788 + 1.43139i 0.271621 + 0.226323i
\(41\) −5.02666 + 1.63326i −0.785033 + 0.255073i −0.673988 0.738743i \(-0.735420\pi\)
−0.111045 + 0.993815i \(0.535420\pi\)
\(42\) −1.86409 4.63420i −0.287635 0.715072i
\(43\) −3.10789 + 3.10789i −0.473950 + 0.473950i −0.903190 0.429241i \(-0.858781\pi\)
0.429241 + 0.903190i \(0.358781\pi\)
\(44\) 2.21880 1.61205i 0.334497 0.243026i
\(45\) 4.39899 5.06447i 0.655763 0.754967i
\(46\) −0.918819 0.667561i −0.135473 0.0984265i
\(47\) 4.58484 0.726167i 0.668768 0.105922i 0.187187 0.982324i \(-0.440063\pi\)
0.481581 + 0.876402i \(0.340063\pi\)
\(48\) −1.46746 0.920095i −0.211809 0.132804i
\(49\) 1.31687i 0.188124i
\(50\) 2.83952 4.11548i 0.401568 0.582016i
\(51\) 5.32473 + 8.89266i 0.745612 + 1.24522i
\(52\) 5.27002 2.68521i 0.730821 0.372372i
\(53\) −0.837944 5.29057i −0.115100 0.726715i −0.975972 0.217894i \(-0.930081\pi\)
0.860872 0.508821i \(-0.169919\pi\)
\(54\) −2.85001 + 4.34482i −0.387837 + 0.591255i
\(55\) −4.03933 4.61442i −0.544663 0.622208i
\(56\) 1.69511 + 2.33312i 0.226519 + 0.311777i
\(57\) −8.70992 2.18579i −1.15366 0.289516i
\(58\) 0.453655 2.86426i 0.0595678 0.376096i
\(59\) −0.912145 2.80729i −0.118751 0.365478i 0.873960 0.485998i \(-0.161544\pi\)
−0.992711 + 0.120520i \(0.961544\pi\)
\(60\) −1.75166 + 3.45423i −0.226138 + 0.445939i
\(61\) −1.41844 + 4.36552i −0.181613 + 0.558947i −0.999874 0.0159002i \(-0.994939\pi\)
0.818261 + 0.574847i \(0.194939\pi\)
\(62\) −5.02833 2.56206i −0.638599 0.325382i
\(63\) 7.10221 4.94069i 0.894795 0.622468i
\(64\) 0.951057 + 0.309017i 0.118882 + 0.0386271i
\(65\) −7.04723 11.1917i −0.874101 1.38816i
\(66\) 3.58033 + 3.12197i 0.440708 + 0.384287i
\(67\) −0.455818 0.0721944i −0.0556870 0.00881995i 0.128529 0.991706i \(-0.458975\pi\)
−0.184216 + 0.982886i \(0.558975\pi\)
\(68\) −4.23147 4.23147i −0.513141 0.513141i
\(69\) 0.771390 1.80957i 0.0928645 0.217847i
\(70\) 4.85217 4.24744i 0.579945 0.507667i
\(71\) 3.36294 4.62869i 0.399107 0.549324i −0.561412 0.827536i \(-0.689742\pi\)
0.960520 + 0.278212i \(0.0897418\pi\)
\(72\) 0.985385 2.83355i 0.116129 0.333937i
\(73\) 4.12620 + 8.09812i 0.482935 + 0.947814i 0.995991 + 0.0894583i \(0.0285136\pi\)
−0.513055 + 0.858356i \(0.671486\pi\)
\(74\) 8.06924 0.938031
\(75\) 8.04698 + 3.20096i 0.929185 + 0.369615i
\(76\) 5.18460 0.594715
\(77\) −3.59077 7.04728i −0.409206 0.803113i
\(78\) 6.57304 + 7.85784i 0.744250 + 0.889725i
\(79\) 6.90557 9.50470i 0.776937 1.06936i −0.218676 0.975798i \(-0.570174\pi\)
0.995613 0.0935650i \(-0.0298263\pi\)
\(80\) 0.495476 2.18048i 0.0553959 0.243785i
\(81\) −8.43823 3.12991i −0.937581 0.347768i
\(82\) 3.73730 + 3.73730i 0.412716 + 0.412716i
\(83\) 11.9275 + 1.88912i 1.30921 + 0.207358i 0.771747 0.635930i \(-0.219383\pi\)
0.537462 + 0.843288i \(0.319383\pi\)
\(84\) −3.28282 + 3.76480i −0.358185 + 0.410773i
\(85\) −8.56574 + 10.2802i −0.929084 + 1.11504i
\(86\) 4.18011 + 1.35820i 0.450753 + 0.146458i
\(87\) 5.01118 0.342708i 0.537255 0.0367421i
\(88\) −2.44367 1.24511i −0.260496 0.132729i
\(89\) 0.402182 1.23779i 0.0426312 0.131205i −0.927476 0.373884i \(-0.878026\pi\)
0.970107 + 0.242678i \(0.0780260\pi\)
\(90\) −6.50958 1.62030i −0.686170 0.170795i
\(91\) −5.27101 16.2225i −0.552552 1.70058i
\(92\) −0.177666 + 1.12174i −0.0185230 + 0.116950i
\(93\) 2.37923 9.48072i 0.246715 0.983105i
\(94\) −2.72849 3.75545i −0.281423 0.387345i
\(95\) −1.05030 11.5455i −0.107758 1.18454i
\(96\) −0.153600 + 1.72523i −0.0156767 + 0.176080i
\(97\) 1.03381 + 6.52722i 0.104967 + 0.662738i 0.982926 + 0.184002i \(0.0589052\pi\)
−0.877959 + 0.478737i \(0.841095\pi\)
\(98\) 1.17334 0.597845i 0.118525 0.0603915i
\(99\) −3.88493 + 7.25283i −0.390450 + 0.728937i
\(100\) −4.95603 0.661639i −0.495603 0.0661639i
\(101\) 3.52971i 0.351219i −0.984460 0.175610i \(-0.943810\pi\)
0.984460 0.175610i \(-0.0561896\pi\)
\(102\) 5.50604 8.78155i 0.545179 0.869503i
\(103\) −6.37316 + 1.00941i −0.627966 + 0.0994601i −0.462303 0.886722i \(-0.652977\pi\)
−0.165664 + 0.986182i \(0.552977\pi\)
\(104\) −4.78508 3.47657i −0.469216 0.340905i
\(105\) 9.04876 + 6.54775i 0.883068 + 0.638995i
\(106\) −4.33351 + 3.14848i −0.420908 + 0.305807i
\(107\) −8.76915 + 8.76915i −0.847745 + 0.847745i −0.989851 0.142106i \(-0.954613\pi\)
0.142106 + 0.989851i \(0.454613\pi\)
\(108\) 5.16514 + 0.566874i 0.497016 + 0.0545474i
\(109\) 2.65577 0.862912i 0.254377 0.0826520i −0.179053 0.983839i \(-0.557303\pi\)
0.433430 + 0.901187i \(0.357303\pi\)
\(110\) −2.27766 + 5.69397i −0.217167 + 0.542899i
\(111\) 3.12314 + 13.6229i 0.296435 + 1.29303i
\(112\) 1.30926 2.56957i 0.123714 0.242802i
\(113\) 2.09855 4.11863i 0.197415 0.387449i −0.770984 0.636854i \(-0.780235\pi\)
0.968399 + 0.249406i \(0.0802353\pi\)
\(114\) 2.00666 + 8.75292i 0.187941 + 0.819786i
\(115\) 2.53396 + 0.168398i 0.236293 + 0.0157032i
\(116\) −2.75803 + 0.896139i −0.256077 + 0.0832044i
\(117\) −10.7220 + 14.1383i −0.991247 + 1.30708i
\(118\) −2.08721 + 2.08721i −0.192143 + 0.192143i
\(119\) −13.9619 + 10.1439i −1.27988 + 0.929890i
\(120\) 3.87298 0.00745040i 0.353553 0.000680125i
\(121\) −2.81392 2.04443i −0.255811 0.185857i
\(122\) 4.53366 0.718062i 0.410459 0.0650103i
\(123\) −4.86302 + 7.75601i −0.438484 + 0.699336i
\(124\) 5.64343i 0.506795i
\(125\) −0.469393 + 11.1705i −0.0419838 + 0.999118i
\(126\) −7.62652 4.08509i −0.679424 0.363929i
\(127\) 11.1643 5.68850i 0.990672 0.504773i 0.117966 0.993018i \(-0.462363\pi\)
0.872707 + 0.488245i \(0.162363\pi\)
\(128\) −0.156434 0.987688i −0.0138270 0.0873001i
\(129\) −0.675105 + 7.58276i −0.0594397 + 0.667625i
\(130\) −6.77250 + 11.3600i −0.593988 + 0.996342i
\(131\) −7.00579 9.64264i −0.612099 0.842482i 0.384649 0.923063i \(-0.374322\pi\)
−0.996748 + 0.0805811i \(0.974322\pi\)
\(132\) 1.15626 4.60744i 0.100639 0.401026i
\(133\) 2.33899 14.7678i 0.202816 1.28053i
\(134\) 0.142611 + 0.438912i 0.0123197 + 0.0379162i
\(135\) 0.216000 11.6169i 0.0185903 0.999827i
\(136\) −1.84922 + 5.69132i −0.158569 + 0.488026i
\(137\) 17.7044 + 9.02083i 1.51259 + 0.770702i 0.996319 0.0857255i \(-0.0273208\pi\)
0.516268 + 0.856427i \(0.327321\pi\)
\(138\) −1.96255 + 0.134216i −0.167063 + 0.0114252i
\(139\) 9.07922 + 2.95002i 0.770090 + 0.250217i 0.667603 0.744517i \(-0.267320\pi\)
0.102486 + 0.994734i \(0.467320\pi\)
\(140\) −5.98734 2.39502i −0.506023 0.202416i
\(141\) 5.28411 6.05991i 0.445002 0.510336i
\(142\) −5.65093 0.895020i −0.474216 0.0751084i
\(143\) 11.4704 + 11.4704i 0.959201 + 0.959201i
\(144\) −2.97207 + 0.408421i −0.247672 + 0.0340351i
\(145\) 2.55431 + 5.96025i 0.212124 + 0.494971i
\(146\) 5.34223 7.35294i 0.442126 0.608534i
\(147\) 1.46344 + 1.74950i 0.120703 + 0.144296i
\(148\) −3.66336 7.18975i −0.301126 0.590994i
\(149\) −12.0089 −0.983807 −0.491903 0.870650i \(-0.663699\pi\)
−0.491903 + 0.870650i \(0.663699\pi\)
\(150\) −0.801180 8.62311i −0.0654161 0.704074i
\(151\) −11.1277 −0.905558 −0.452779 0.891623i \(-0.649567\pi\)
−0.452779 + 0.891623i \(0.649567\pi\)
\(152\) −2.35376 4.61952i −0.190915 0.374692i
\(153\) 16.9566 + 5.89674i 1.37086 + 0.476724i
\(154\) −4.64900 + 6.39880i −0.374627 + 0.515630i
\(155\) 12.5672 1.14325i 1.00942 0.0918278i
\(156\) 4.01729 9.42401i 0.321641 0.754524i
\(157\) −11.6119 11.6119i −0.926732 0.926732i 0.0707617 0.997493i \(-0.477457\pi\)
−0.997493 + 0.0707617i \(0.977457\pi\)
\(158\) −11.6038 1.83786i −0.923150 0.146213i
\(159\) −6.99269 6.09747i −0.554556 0.483561i
\(160\) −2.16777 + 0.548446i −0.171377 + 0.0433584i
\(161\) 3.11500 + 1.01213i 0.245497 + 0.0797667i
\(162\) 1.04210 + 8.93946i 0.0818753 + 0.702351i
\(163\) 5.83680 + 2.97400i 0.457173 + 0.232941i 0.667383 0.744715i \(-0.267415\pi\)
−0.210209 + 0.977656i \(0.567415\pi\)
\(164\) 1.63326 5.02666i 0.127536 0.392516i
\(165\) −10.4944 1.64146i −0.816989 0.127788i
\(166\) −3.73173 11.4851i −0.289639 0.891416i
\(167\) 2.65903 16.7884i 0.205762 1.29913i −0.641159 0.767408i \(-0.721546\pi\)
0.846920 0.531720i \(-0.178454\pi\)
\(168\) 4.84483 + 1.21583i 0.373787 + 0.0938035i
\(169\) 12.9216 + 17.7850i 0.993968 + 1.36808i
\(170\) 13.0485 + 2.96503i 1.00077 + 0.227407i
\(171\) −14.0005 + 6.77551i −1.07064 + 0.518136i
\(172\) −0.687565 4.34111i −0.0524263 0.331007i
\(173\) −6.04954 + 3.08240i −0.459938 + 0.234350i −0.668578 0.743642i \(-0.733097\pi\)
0.208639 + 0.977993i \(0.433097\pi\)
\(174\) −2.58038 4.30941i −0.195618 0.326696i
\(175\) −4.12048 + 13.8182i −0.311479 + 1.04456i
\(176\) 2.74259i 0.206731i
\(177\) −4.33158 2.71590i −0.325581 0.204140i
\(178\) −1.28546 + 0.203597i −0.0963496 + 0.0152603i
\(179\) 7.59016 + 5.51457i 0.567315 + 0.412179i 0.834129 0.551569i \(-0.185971\pi\)
−0.266814 + 0.963748i \(0.585971\pi\)
\(180\) 1.51158 + 6.53568i 0.112667 + 0.487141i
\(181\) 12.3025 8.93831i 0.914440 0.664379i −0.0276940 0.999616i \(-0.508816\pi\)
0.942134 + 0.335237i \(0.108816\pi\)
\(182\) −12.0614 + 12.0614i −0.894048 + 0.894048i
\(183\) 2.96699 + 7.37605i 0.219326 + 0.545253i
\(184\) 1.08014 0.350958i 0.0796287 0.0258729i
\(185\) −15.2685 + 9.61434i −1.12256 + 0.706860i
\(186\) −9.52753 + 2.18425i −0.698593 + 0.160157i
\(187\) 7.45099 14.6234i 0.544871 1.06937i
\(188\) −2.10742 + 4.13604i −0.153699 + 0.301652i
\(189\) 3.94488 14.4566i 0.286948 1.05156i
\(190\) −9.81025 + 6.17735i −0.711710 + 0.448152i
\(191\) −12.2756 + 3.98859i −0.888232 + 0.288604i −0.717371 0.696691i \(-0.754655\pi\)
−0.170861 + 0.985295i \(0.554655\pi\)
\(192\) 1.60692 0.646378i 0.115970 0.0466483i
\(193\) 3.91447 3.91447i 0.281770 0.281770i −0.552045 0.833815i \(-0.686152\pi\)
0.833815 + 0.552045i \(0.186152\pi\)
\(194\) 5.34645 3.88442i 0.383853 0.278885i
\(195\) −21.7999 7.03688i −1.56112 0.503921i
\(196\) −1.06537 0.774035i −0.0760977 0.0552882i
\(197\) 25.2645 4.00150i 1.80002 0.285095i 0.835574 0.549378i \(-0.185135\pi\)
0.964445 + 0.264282i \(0.0851351\pi\)
\(198\) 8.22604 + 0.168782i 0.584599 + 0.0119948i
\(199\) 0.0768328i 0.00544653i 0.999996 + 0.00272327i \(0.000866844\pi\)
−0.999996 + 0.00272327i \(0.999133\pi\)
\(200\) 1.66047 + 4.71623i 0.117413 + 0.333488i
\(201\) −0.685798 + 0.410641i −0.0483725 + 0.0289644i
\(202\) −3.14499 + 1.60245i −0.221281 + 0.112748i
\(203\) 1.30829 + 8.26024i 0.0918242 + 0.579755i
\(204\) −10.3241 0.919171i −0.722832 0.0643548i
\(205\) −11.5246 2.61876i −0.804913 0.182902i
\(206\) 3.79275 + 5.22027i 0.264253 + 0.363713i
\(207\) −0.986179 3.26133i −0.0685442 0.226678i
\(208\) −0.925261 + 5.84187i −0.0641553 + 0.405061i
\(209\) 4.39399 + 13.5233i 0.303939 + 0.935427i
\(210\) 1.72604 11.0351i 0.119108 0.761495i
\(211\) 1.99342 6.13511i 0.137232 0.422358i −0.858698 0.512482i \(-0.828726\pi\)
0.995931 + 0.0901236i \(0.0287262\pi\)
\(212\) 4.77269 + 2.43181i 0.327790 + 0.167017i
\(213\) −0.676131 9.88661i −0.0463278 0.677420i
\(214\) 11.7945 + 3.83226i 0.806254 + 0.261968i
\(215\) −9.52782 + 2.41054i −0.649792 + 0.164398i
\(216\) −1.83984 4.85953i −0.125185 0.330649i
\(217\) 16.0747 + 2.54598i 1.09122 + 0.172832i
\(218\) −1.97456 1.97456i −0.133734 0.133734i
\(219\) 14.4813 + 6.17313i 0.978555 + 0.417141i
\(220\) 6.10740 0.555595i 0.411761 0.0374582i
\(221\) 20.8045 28.6349i 1.39946 1.92619i
\(222\) 10.7202 8.96742i 0.719495 0.601854i
\(223\) −2.46937 4.84642i −0.165362 0.324540i 0.793425 0.608668i \(-0.208296\pi\)
−0.958786 + 0.284128i \(0.908296\pi\)
\(224\) −2.88390 −0.192689
\(225\) 14.2479 4.69011i 0.949861 0.312674i
\(226\) −4.62245 −0.307481
\(227\) −8.90823 17.4834i −0.591260 1.16041i −0.971835 0.235662i \(-0.924274\pi\)
0.380575 0.924750i \(-0.375726\pi\)
\(228\) 6.88791 5.76169i 0.456163 0.381577i
\(229\) 10.2833 14.1538i 0.679543 0.935310i −0.320385 0.947287i \(-0.603812\pi\)
0.999928 + 0.0119768i \(0.00381244\pi\)
\(230\) −1.00035 2.33423i −0.0659613 0.153915i
\(231\) −12.6022 5.37208i −0.829161 0.353457i
\(232\) 2.05059 + 2.05059i 0.134628 + 0.134628i
\(233\) −28.6649 4.54007i −1.87790 0.297430i −0.890416 0.455148i \(-0.849586\pi\)
−0.987484 + 0.157718i \(0.949586\pi\)
\(234\) 17.4650 + 3.13471i 1.14172 + 0.204923i
\(235\) 9.63737 + 3.85507i 0.628672 + 0.251477i
\(236\) 2.80729 + 0.912145i 0.182739 + 0.0593756i
\(237\) −1.38839 20.3015i −0.0901857 1.31872i
\(238\) 15.3768 + 7.83489i 0.996733 + 0.507861i
\(239\) −1.74681 + 5.37613i −0.112992 + 0.347753i −0.991523 0.129932i \(-0.958524\pi\)
0.878531 + 0.477685i \(0.158524\pi\)
\(240\) −1.76493 3.44746i −0.113926 0.222533i
\(241\) 4.35617 + 13.4069i 0.280605 + 0.863614i 0.987682 + 0.156477i \(0.0500137\pi\)
−0.707076 + 0.707137i \(0.749986\pi\)
\(242\) −0.544110 + 3.43537i −0.0349767 + 0.220834i
\(243\) −14.6887 + 5.21929i −0.942283 + 0.334817i
\(244\) −2.69804 3.71353i −0.172724 0.237734i
\(245\) −1.50785 + 2.52924i −0.0963333 + 0.161587i
\(246\) 9.11842 + 0.811827i 0.581369 + 0.0517602i
\(247\) 4.79711 + 30.2878i 0.305233 + 1.92716i
\(248\) 5.02833 2.56206i 0.319299 0.162691i
\(249\) 17.9454 10.7453i 1.13724 0.680957i
\(250\) 10.1661 4.65306i 0.642959 0.294285i
\(251\) 17.3182i 1.09311i 0.837422 + 0.546557i \(0.184062\pi\)
−0.837422 + 0.546557i \(0.815938\pi\)
\(252\) −0.177478 + 8.64987i −0.0111801 + 0.544891i
\(253\) −3.07648 + 0.487266i −0.193416 + 0.0306341i
\(254\) −10.1370 7.36495i −0.636051 0.462118i
\(255\) 0.0445847 + 23.1767i 0.00279200 + 1.45138i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 4.28914 4.28914i 0.267549 0.267549i −0.560563 0.828112i \(-0.689415\pi\)
0.828112 + 0.560563i \(0.189415\pi\)
\(258\) 7.06278 2.84098i 0.439710 0.176872i
\(259\) −22.1319 + 7.19110i −1.37521 + 0.446833i
\(260\) 13.1965 + 0.876991i 0.818414 + 0.0543887i
\(261\) 6.27666 6.02427i 0.388515 0.372893i
\(262\) −5.41110 + 10.6199i −0.334299 + 0.656098i
\(263\) −10.8405 + 21.2757i −0.668454 + 1.31191i 0.268777 + 0.963203i \(0.413381\pi\)
−0.937230 + 0.348711i \(0.886619\pi\)
\(264\) −4.63019 + 1.06150i −0.284968 + 0.0653308i
\(265\) 4.44847 11.1208i 0.273267 0.683146i
\(266\) −14.2201 + 4.62038i −0.871889 + 0.283294i
\(267\) −0.841253 2.09139i −0.0514839 0.127991i
\(268\) 0.326329 0.326329i 0.0199337 0.0199337i
\(269\) 11.2436 8.16896i 0.685535 0.498070i −0.189654 0.981851i \(-0.560737\pi\)
0.875189 + 0.483781i \(0.160737\pi\)
\(270\) −10.4488 + 5.08152i −0.635896 + 0.309252i
\(271\) 12.1633 + 8.83716i 0.738868 + 0.536819i 0.892357 0.451331i \(-0.149051\pi\)
−0.153488 + 0.988151i \(0.549051\pi\)
\(272\) 5.91053 0.936136i 0.358378 0.0567616i
\(273\) −25.0309 15.6944i −1.51494 0.949867i
\(274\) 19.8701i 1.20040i
\(275\) −2.47448 13.4878i −0.149217 0.813348i
\(276\) 1.01056 + 1.68771i 0.0608288 + 0.101588i
\(277\) −1.61620 + 0.823495i −0.0971080 + 0.0494790i −0.501870 0.864943i \(-0.667354\pi\)
0.404762 + 0.914422i \(0.367354\pi\)
\(278\) −1.49340 9.42893i −0.0895679 0.565509i
\(279\) −7.37512 15.2395i −0.441537 0.912364i
\(280\) 0.584221 + 6.42207i 0.0349139 + 0.383792i
\(281\) 13.4707 + 18.5409i 0.803597 + 1.10606i 0.992280 + 0.124018i \(0.0395782\pi\)
−0.188683 + 0.982038i \(0.560422\pi\)
\(282\) −7.79835 1.95703i −0.464385 0.116540i
\(283\) −0.445062 + 2.81001i −0.0264562 + 0.167038i −0.997379 0.0723553i \(-0.976948\pi\)
0.970923 + 0.239393i \(0.0769484\pi\)
\(284\) 1.76800 + 5.44135i 0.104912 + 0.322885i
\(285\) −14.2259 14.1713i −0.842670 0.839434i
\(286\) 5.01274 15.4276i 0.296409 0.912255i
\(287\) −13.5811 6.91991i −0.801666 0.408469i
\(288\) 1.71320 + 2.46271i 0.100951 + 0.145117i
\(289\) −17.8900 5.81283i −1.05236 0.341931i
\(290\) 4.15099 4.98180i 0.243754 0.292541i
\(291\) 8.62720 + 7.52273i 0.505735 + 0.440990i
\(292\) −8.97684 1.42179i −0.525330 0.0832041i
\(293\) 9.44461 + 9.44461i 0.551760 + 0.551760i 0.926948 0.375189i \(-0.122422\pi\)
−0.375189 + 0.926948i \(0.622422\pi\)
\(294\) 0.894424 2.09819i 0.0521639 0.122369i
\(295\) 1.46253 6.43626i 0.0851516 0.374734i
\(296\) −4.74298 + 6.52816i −0.275680 + 0.379441i
\(297\) 2.89888 + 13.9530i 0.168210 + 0.809633i
\(298\) 5.45192 + 10.7000i 0.315821 + 0.619834i
\(299\) −6.71745 −0.388480
\(300\) −7.31952 + 4.62867i −0.422593 + 0.267236i
\(301\) −12.6754 −0.730597
\(302\) 5.05186 + 9.91484i 0.290702 + 0.570535i
\(303\) −3.92259 4.68933i −0.225347 0.269395i
\(304\) −3.04743 + 4.19443i −0.174782 + 0.240567i
\(305\) −7.72299 + 6.76047i −0.442217 + 0.387104i
\(306\) −2.44408 17.7855i −0.139719 1.01673i
\(307\) −23.1889 23.1889i −1.32346 1.32346i −0.910955 0.412506i \(-0.864654\pi\)
−0.412506 0.910955i \(-0.635346\pi\)
\(308\) 7.81197 + 1.23730i 0.445129 + 0.0705014i
\(309\) −7.34518 + 8.42358i −0.417852 + 0.479201i
\(310\) −6.72403 10.6784i −0.381899 0.606494i
\(311\) 9.84506 + 3.19885i 0.558262 + 0.181390i 0.574539 0.818477i \(-0.305181\pi\)
−0.0162770 + 0.999868i \(0.505181\pi\)
\(312\) −10.2207 + 0.698977i −0.578631 + 0.0395718i
\(313\) −12.2235 6.22820i −0.690915 0.352039i 0.0730212 0.997330i \(-0.476736\pi\)
−0.763936 + 0.645292i \(0.776736\pi\)
\(314\) −5.07459 + 15.6180i −0.286376 + 0.881374i
\(315\) 19.2981 1.35707i 1.08733 0.0764624i
\(316\) 3.63047 + 11.1734i 0.204230 + 0.628556i
\(317\) −2.95253 + 18.6415i −0.165830 + 1.04701i 0.754623 + 0.656159i \(0.227820\pi\)
−0.920453 + 0.390853i \(0.872180\pi\)
\(318\) −2.25827 + 8.99872i −0.126638 + 0.504623i
\(319\) −4.67490 6.43445i −0.261744 0.360260i
\(320\) 1.47281 + 1.68250i 0.0823328 + 0.0940548i
\(321\) −1.90486 + 21.3953i −0.106319 + 1.19417i
\(322\) −0.512371 3.23498i −0.0285533 0.180279i
\(323\) 27.6441 14.0854i 1.53816 0.783732i
\(324\) 7.49202 4.98695i 0.416223 0.277053i
\(325\) −0.720411 29.5647i −0.0399612 1.63995i
\(326\) 6.55079i 0.362815i
\(327\) 2.56931 4.09779i 0.142083 0.226608i
\(328\) −5.22028 + 0.826810i −0.288241 + 0.0456530i
\(329\) 10.8303 + 7.86870i 0.597096 + 0.433815i
\(330\) 3.30181 + 10.0958i 0.181759 + 0.555755i
\(331\) −25.6753 + 18.6542i −1.41124 + 1.02533i −0.418100 + 0.908401i \(0.637304\pi\)
−0.993141 + 0.116926i \(0.962696\pi\)
\(332\) −8.53912 + 8.53912i −0.468645 + 0.468645i
\(333\) 19.2885 + 14.6277i 1.05700 + 0.801593i
\(334\) −16.1658 + 5.25258i −0.884552 + 0.287408i
\(335\) −0.792802 0.660586i −0.0433154 0.0360917i
\(336\) −1.11619 4.86875i −0.0608932 0.265612i
\(337\) −7.31518 + 14.3569i −0.398483 + 0.782068i −0.999857 0.0169001i \(-0.994620\pi\)
0.601374 + 0.798968i \(0.294620\pi\)
\(338\) 9.98030 19.5874i 0.542857 1.06542i
\(339\) −1.78909 7.80387i −0.0971698 0.423848i
\(340\) −3.28201 12.9724i −0.177992 0.703525i
\(341\) −14.7201 + 4.78284i −0.797137 + 0.259006i
\(342\) 12.3931 + 9.39851i 0.670143 + 0.508213i
\(343\) 11.5892 11.5892i 0.625757 0.625757i
\(344\) −3.55581 + 2.58345i −0.191717 + 0.139290i
\(345\) 3.55359 2.59229i 0.191319 0.139564i
\(346\) 5.49287 + 3.99080i 0.295299 + 0.214547i
\(347\) −23.6313 + 3.74283i −1.26859 + 0.200925i −0.754209 0.656634i \(-0.771980\pi\)
−0.514384 + 0.857560i \(0.671980\pi\)
\(348\) −2.66824 + 4.25557i −0.143033 + 0.228123i
\(349\) 24.8956i 1.33263i 0.745670 + 0.666315i \(0.232129\pi\)
−0.745670 + 0.666315i \(0.767871\pi\)
\(350\) 14.1828 2.60197i 0.758102 0.139081i
\(351\) 1.46750 + 30.6986i 0.0783293 + 1.63857i
\(352\) 2.44367 1.24511i 0.130248 0.0663646i
\(353\) −2.64576 16.7047i −0.140820 0.889101i −0.952398 0.304857i \(-0.901391\pi\)
0.811578 0.584244i \(-0.198609\pi\)
\(354\) −0.453389 + 5.09246i −0.0240974 + 0.270661i
\(355\) 11.7590 5.03942i 0.624104 0.267465i
\(356\) 0.764995 + 1.05293i 0.0405447 + 0.0558049i
\(357\) −7.27579 + 28.9924i −0.385076 + 1.53444i
\(358\) 1.46766 9.26645i 0.0775683 0.489747i
\(359\) −1.67961 5.16932i −0.0886466 0.272826i 0.896899 0.442235i \(-0.145814\pi\)
−0.985546 + 0.169409i \(0.945814\pi\)
\(360\) 5.13709 4.31397i 0.270748 0.227366i
\(361\) −2.43509 + 7.49444i −0.128163 + 0.394444i
\(362\) −13.5493 6.90373i −0.712137 0.362852i
\(363\) −6.01037 + 0.411041i −0.315463 + 0.0215740i
\(364\) 16.2225 + 5.27101i 0.850290 + 0.276276i
\(365\) −1.34762 + 20.2783i −0.0705376 + 1.06142i
\(366\) 5.22512 5.99226i 0.273122 0.313221i
\(367\) 17.7079 + 2.80465i 0.924343 + 0.146401i 0.600422 0.799683i \(-0.294999\pi\)
0.323920 + 0.946084i \(0.394999\pi\)
\(368\) −0.803077 0.803077i −0.0418633 0.0418633i
\(369\) 2.15865 + 15.7084i 0.112375 + 0.817747i
\(370\) 15.4982 + 9.23954i 0.805713 + 0.480341i
\(371\) 9.07990 12.4974i 0.471405 0.648833i
\(372\) 6.27159 + 7.49747i 0.325167 + 0.388726i
\(373\) 11.6182 + 22.8020i 0.601568 + 1.18064i 0.968176 + 0.250269i \(0.0805190\pi\)
−0.366608 + 0.930376i \(0.619481\pi\)
\(374\) −16.4122 −0.848656
\(375\) 11.7902 + 15.3620i 0.608846 + 0.793289i
\(376\) 4.64199 0.239392
\(377\) −7.78702 15.2829i −0.401052 0.787109i
\(378\) −14.6719 + 3.04824i −0.754639 + 0.156785i
\(379\) 5.71732 7.86922i 0.293679 0.404215i −0.636526 0.771255i \(-0.719629\pi\)
0.930205 + 0.367041i \(0.119629\pi\)
\(380\) 9.95782 + 5.93654i 0.510825 + 0.304538i
\(381\) 8.51045 19.9643i 0.436004 1.02280i
\(382\) 9.12687 + 9.12687i 0.466971 + 0.466971i
\(383\) −24.0895 3.81540i −1.23092 0.194958i −0.493108 0.869968i \(-0.664139\pi\)
−0.737808 + 0.675010i \(0.764139\pi\)
\(384\) −1.30545 1.13833i −0.0666187 0.0580900i
\(385\) 1.17275 17.6469i 0.0597687 0.899370i
\(386\) −5.26495 1.71069i −0.267979 0.0870717i
\(387\) 7.52989 + 10.8242i 0.382766 + 0.550224i
\(388\) −5.88829 3.00023i −0.298932 0.152314i
\(389\) 5.49358 16.9075i 0.278536 0.857245i −0.709726 0.704477i \(-0.751181\pi\)
0.988262 0.152767i \(-0.0488186\pi\)
\(390\) 3.62704 + 22.6185i 0.183662 + 1.14533i
\(391\) 2.10020 + 6.46376i 0.106212 + 0.326886i
\(392\) −0.206003 + 1.30065i −0.0104047 + 0.0656929i
\(393\) −20.0234 5.02496i −1.01004 0.253475i
\(394\) −15.0352 20.6942i −0.757462 1.04256i
\(395\) 24.1464 10.3481i 1.21494 0.520670i
\(396\) −3.58416 7.40608i −0.180111 0.372170i
\(397\) −3.00987 19.0036i −0.151061 0.953762i −0.940466 0.339889i \(-0.889611\pi\)
0.789405 0.613873i \(-0.210389\pi\)
\(398\) 0.0684585 0.0348814i 0.00343152 0.00174845i
\(399\) −13.3041 22.2188i −0.666040 1.11233i
\(400\) 3.44836 3.62061i 0.172418 0.181031i
\(401\) 31.1439i 1.55525i −0.628726 0.777627i \(-0.716423\pi\)
0.628726 0.777627i \(-0.283577\pi\)
\(402\) 0.677230 + 0.424623i 0.0337772 + 0.0211783i
\(403\) −32.9681 + 5.22164i −1.64226 + 0.260108i
\(404\) 2.85559 + 2.07471i 0.142071 + 0.103221i
\(405\) −12.6230 15.6735i −0.627244 0.778823i
\(406\) 6.76598 4.91577i 0.335790 0.243966i
\(407\) 15.6487 15.6487i 0.775678 0.775678i
\(408\) 3.86806 + 9.61614i 0.191498 + 0.476070i
\(409\) −14.9223 + 4.84855i −0.737860 + 0.239745i −0.653749 0.756711i \(-0.726805\pi\)
−0.0841106 + 0.996456i \(0.526805\pi\)
\(410\) 2.89873 + 11.4574i 0.143158 + 0.565840i
\(411\) 33.5457 7.69057i 1.65469 0.379348i
\(412\) 2.92942 5.74931i 0.144322 0.283248i
\(413\) 3.86463 7.58476i 0.190166 0.373222i
\(414\) −2.45815 + 2.35930i −0.120811 + 0.115953i
\(415\) 20.7454 + 17.2857i 1.01835 + 0.848520i
\(416\) 5.62520 1.82774i 0.275798 0.0896122i
\(417\) 15.3404 6.17063i 0.751223 0.302177i
\(418\) 10.0545 10.0545i 0.491783 0.491783i
\(419\) 2.78733 2.02511i 0.136170 0.0989333i −0.517615 0.855614i \(-0.673180\pi\)
0.653785 + 0.756680i \(0.273180\pi\)
\(420\) −10.6160 + 3.47193i −0.518006 + 0.169413i
\(421\) 10.9206 + 7.93429i 0.532238 + 0.386694i 0.821194 0.570649i \(-0.193308\pi\)
−0.288956 + 0.957342i \(0.593308\pi\)
\(422\) −6.37141 + 1.00913i −0.310156 + 0.0491238i
\(423\) 0.285673 13.9230i 0.0138899 0.676962i
\(424\) 5.35652i 0.260135i
\(425\) −28.2229 + 9.93657i −1.36901 + 0.481994i
\(426\) −8.50208 + 5.09087i −0.411927 + 0.246653i
\(427\) −11.7948 + 6.00974i −0.570790 + 0.290832i
\(428\) −1.94001 12.2488i −0.0937741 0.592066i
\(429\) 27.9859 + 2.49162i 1.35117 + 0.120297i
\(430\) 6.47335 + 7.39499i 0.312173 + 0.356618i
\(431\) 16.4092 + 22.5853i 0.790401 + 1.08789i 0.994058 + 0.108852i \(0.0347173\pi\)
−0.203657 + 0.979042i \(0.565283\pi\)
\(432\) −3.49460 + 3.84548i −0.168134 + 0.185016i
\(433\) −0.408546 + 2.57946i −0.0196335 + 0.123961i −0.995558 0.0941457i \(-0.969988\pi\)
0.975925 + 0.218107i \(0.0699881\pi\)
\(434\) −5.02927 15.4785i −0.241413 0.742992i
\(435\) 10.0171 + 5.07974i 0.480286 + 0.243555i
\(436\) −0.862912 + 2.65577i −0.0413260 + 0.127188i
\(437\) −5.24649 2.67322i −0.250974 0.127877i
\(438\) −1.07407 15.7055i −0.0513213 0.750436i
\(439\) −10.4899 3.40836i −0.500653 0.162672i 0.0477940 0.998857i \(-0.484781\pi\)
−0.548447 + 0.836185i \(0.684781\pi\)
\(440\) −3.26774 5.18950i −0.155783 0.247400i
\(441\) 3.88846 + 0.697923i 0.185165 + 0.0332344i
\(442\) −34.9589 5.53695i −1.66283 0.263366i
\(443\) 1.32181 + 1.32181i 0.0628009 + 0.0628009i 0.737810 0.675009i \(-0.235860\pi\)
−0.675009 + 0.737810i \(0.735860\pi\)
\(444\) −12.8569 5.48068i −0.610162 0.260102i
\(445\) 2.18976 1.91685i 0.103804 0.0908673i
\(446\) −3.19712 + 4.40046i −0.151388 + 0.208368i
\(447\) −15.9542 + 13.3456i −0.754607 + 0.631224i
\(448\) 1.30926 + 2.56957i 0.0618568 + 0.121401i
\(449\) 20.5238 0.968579 0.484289 0.874908i \(-0.339078\pi\)
0.484289 + 0.874908i \(0.339078\pi\)
\(450\) −10.6473 10.5657i −0.501920 0.498073i
\(451\) 14.4955 0.682569
\(452\) 2.09855 + 4.11863i 0.0987075 + 0.193724i
\(453\) −14.7835 + 12.3663i −0.694588 + 0.581019i
\(454\) −11.5336 + 15.8746i −0.541296 + 0.745031i
\(455\) 8.45151 37.1933i 0.396213 1.74365i
\(456\) −8.26075 3.52142i −0.386845 0.164905i
\(457\) 11.0498 + 11.0498i 0.516886 + 0.516886i 0.916628 0.399742i \(-0.130900\pi\)
−0.399742 + 0.916628i \(0.630900\pi\)
\(458\) −17.2797 2.73683i −0.807427 0.127884i
\(459\) 29.0804 11.0100i 1.35736 0.513901i
\(460\) −1.62566 + 1.95104i −0.0757970 + 0.0909677i
\(461\) −13.2689 4.31131i −0.617992 0.200798i −0.0167435 0.999860i \(-0.505330\pi\)
−0.601249 + 0.799062i \(0.705330\pi\)
\(462\) 0.934699 + 13.6675i 0.0434861 + 0.635868i
\(463\) 29.3718 + 14.9657i 1.36502 + 0.695515i 0.974355 0.225017i \(-0.0722436\pi\)
0.390669 + 0.920531i \(0.372244\pi\)
\(464\) 0.896139 2.75803i 0.0416022 0.128038i
\(465\) 15.4254 15.4849i 0.715336 0.718093i
\(466\) 8.96836 + 27.6018i 0.415451 + 1.27863i
\(467\) −0.578507 + 3.65255i −0.0267701 + 0.169020i −0.997451 0.0713509i \(-0.977269\pi\)
0.970681 + 0.240371i \(0.0772690\pi\)
\(468\) −5.13588 16.9845i −0.237406 0.785110i
\(469\) −0.782294 1.07673i −0.0361230 0.0497190i
\(470\) −0.940376 10.3371i −0.0433763 0.476816i
\(471\) −28.3312 2.52237i −1.30543 0.116225i
\(472\) −0.461757 2.91542i −0.0212541 0.134193i
\(473\) 10.7405 5.47254i 0.493847 0.251628i
\(474\) −17.4585 + 10.4538i −0.801894 + 0.480157i
\(475\) 11.2027 23.3774i 0.514013 1.07263i
\(476\) 17.2578i 0.791012i
\(477\) −16.0662 0.329645i −0.735619 0.0150934i
\(478\) 5.58321 0.884293i 0.255370 0.0404466i
\(479\) 4.35190 + 3.16184i 0.198844 + 0.144468i 0.682752 0.730651i \(-0.260783\pi\)
−0.483908 + 0.875119i \(0.660783\pi\)
\(480\) −2.27045 + 3.13768i −0.103631 + 0.143215i
\(481\) 38.6120 28.0533i 1.76056 1.27912i
\(482\) 9.96798 9.96798i 0.454029 0.454029i
\(483\) 5.26316 2.11709i 0.239482 0.0963309i
\(484\) 3.30796 1.07482i 0.150362 0.0488555i
\(485\) −5.48828 + 13.7203i −0.249210 + 0.623004i
\(486\) 11.3190 + 10.7183i 0.513439 + 0.486190i
\(487\) −1.90512 + 3.73900i −0.0863291 + 0.169430i −0.930135 0.367219i \(-0.880310\pi\)
0.843806 + 0.536649i \(0.180310\pi\)
\(488\) −2.08390 + 4.08988i −0.0943336 + 0.185140i
\(489\) 11.0594 2.53544i 0.500123 0.114656i
\(490\) 2.93812 + 0.195256i 0.132731 + 0.00882078i
\(491\) −30.0362 + 9.75934i −1.35551 + 0.440433i −0.894543 0.446983i \(-0.852499\pi\)
−0.460970 + 0.887416i \(0.652499\pi\)
\(492\) −3.41633 8.49313i −0.154020 0.382900i
\(493\) −12.2711 + 12.2711i −0.552664 + 0.552664i
\(494\) 24.8088 18.0246i 1.11620 0.810966i
\(495\) −15.7663 + 9.48179i −0.708643 + 0.426175i
\(496\) −4.56563 3.31712i −0.205003 0.148943i
\(497\) 16.2967 2.58115i 0.731007 0.115780i
\(498\) −17.7212 11.1112i −0.794106 0.497904i
\(499\) 10.2536i 0.459015i −0.973307 0.229508i \(-0.926288\pi\)
0.973307 0.229508i \(-0.0737116\pi\)
\(500\) −8.76121 6.94559i −0.391813 0.310616i
\(501\) −15.1245 25.2590i −0.675714 1.12849i
\(502\) 15.4306 7.86229i 0.688702 0.350911i
\(503\) −0.104371 0.658974i −0.00465369 0.0293822i 0.985252 0.171108i \(-0.0547348\pi\)
−0.989906 + 0.141726i \(0.954735\pi\)
\(504\) 7.78767 3.76883i 0.346890 0.167877i
\(505\) 4.04163 6.77934i 0.179850 0.301677i
\(506\) 1.83085 + 2.51995i 0.0813911 + 0.112025i
\(507\) 36.9314 + 9.26810i 1.64018 + 0.411611i
\(508\) −1.96012 + 12.3757i −0.0869664 + 0.549084i
\(509\) −8.01814 24.6773i −0.355398 1.09380i −0.955779 0.294087i \(-0.904984\pi\)
0.600381 0.799714i \(-0.295016\pi\)
\(510\) 20.6303 10.5617i 0.913527 0.467681i
\(511\) −8.09964 + 24.9281i −0.358307 + 1.10276i
\(512\) 0.891007 + 0.453990i 0.0393773 + 0.0200637i
\(513\) −11.0704 + 24.5603i −0.488770 + 1.08436i
\(514\) −5.76888 1.87442i −0.254454 0.0826772i
\(515\) −13.3964 5.35875i −0.590317 0.236135i
\(516\) −5.73777 5.00321i −0.252591 0.220254i
\(517\) −12.5743 1.99158i −0.553019 0.0875896i
\(518\) 16.4550 + 16.4550i 0.722991 + 0.722991i
\(519\) −4.61151 + 10.8180i −0.202423 + 0.474856i
\(520\) −5.20970 12.1563i −0.228460 0.533091i
\(521\) −24.0053 + 33.0404i −1.05169 + 1.44753i −0.164357 + 0.986401i \(0.552555\pi\)
−0.887334 + 0.461127i \(0.847445\pi\)
\(522\) −8.21721 2.85758i −0.359657 0.125073i
\(523\) −12.3663 24.2703i −0.540741 1.06126i −0.986137 0.165931i \(-0.946937\pi\)
0.445396 0.895334i \(-0.353063\pi\)
\(524\) 11.9190 0.520682
\(525\) 9.88213 + 22.9371i 0.431291 + 1.00106i
\(526\) 23.8782 1.04114
\(527\) 15.3319 + 30.0906i 0.667868 + 1.31077i
\(528\) 3.04786 + 3.64362i 0.132641 + 0.158568i
\(529\) −12.7609 + 17.5639i −0.554822 + 0.763646i
\(530\) −11.9283 + 1.08512i −0.518131 + 0.0471348i
\(531\) −8.77284 + 1.20556i −0.380709 + 0.0523170i
\(532\) 10.5726 + 10.5726i 0.458379 + 0.458379i
\(533\) 30.8763 + 4.89032i 1.33740 + 0.211823i
\(534\) −1.48152 + 1.69903i −0.0641116 + 0.0735243i
\(535\) −26.8834 + 6.80152i −1.16227 + 0.294055i
\(536\) −0.438912 0.142611i −0.0189581 0.00615987i
\(537\) 16.2122 1.10873i 0.699606 0.0478451i
\(538\) −12.3831 6.30950i −0.533873 0.272022i
\(539\) 1.11605 3.43486i 0.0480718 0.147950i
\(540\) 9.27134 + 7.00302i 0.398975 + 0.301362i
\(541\) 4.75771 + 14.6427i 0.204550 + 0.629540i 0.999732 + 0.0231685i \(0.00737544\pi\)
−0.795182 + 0.606371i \(0.792625\pi\)
\(542\) 2.35194 14.8496i 0.101025 0.637844i
\(543\) 6.41107 25.5467i 0.275125 1.09631i
\(544\) −3.51743 4.84132i −0.150808 0.207570i
\(545\) 6.08887 + 1.38359i 0.260819 + 0.0592664i
\(546\) −2.62000 + 29.4278i −0.112126 + 1.25939i
\(547\) −3.51301 22.1803i −0.150205 0.948360i −0.941522 0.336953i \(-0.890604\pi\)
0.791316 0.611407i \(-0.209396\pi\)
\(548\) −17.7044 + 9.02083i −0.756293 + 0.385351i
\(549\) 12.1388 + 6.50207i 0.518072 + 0.277502i
\(550\) −10.8944 + 8.32813i −0.464538 + 0.355113i
\(551\) 15.0352i 0.640520i
\(552\) 1.04497 1.66662i 0.0444770 0.0709362i
\(553\) 33.4642 5.30021i 1.42304 0.225388i
\(554\) 1.46748 + 1.06619i 0.0623472 + 0.0452979i
\(555\) −9.60022 + 29.7410i −0.407507 + 1.26243i
\(556\) −7.72325 + 5.61127i −0.327539 + 0.237971i
\(557\) −1.66485 + 1.66485i −0.0705420 + 0.0705420i −0.741498 0.670956i \(-0.765884\pi\)
0.670956 + 0.741498i \(0.265884\pi\)
\(558\) −10.2302 + 13.4899i −0.433081 + 0.571071i
\(559\) 24.7240 8.03333i 1.04572 0.339773i
\(560\) 5.45688 3.43610i 0.230595 0.145202i
\(561\) −6.35223 27.7080i −0.268191 1.16983i
\(562\) 10.4045 20.4199i 0.438886 0.861362i
\(563\) −21.4512 + 42.1004i −0.904062 + 1.77432i −0.369332 + 0.929297i \(0.620414\pi\)
−0.534729 + 0.845023i \(0.679586\pi\)
\(564\) 1.79665 + 7.83686i 0.0756525 + 0.329991i
\(565\) 8.74655 5.50756i 0.367970 0.231705i
\(566\) 2.70579 0.879165i 0.113733 0.0369541i
\(567\) −10.8248 23.5900i −0.454600 0.990688i
\(568\) 4.04562 4.04562i 0.169750 0.169750i
\(569\) −19.9798 + 14.5162i −0.837599 + 0.608551i −0.921699 0.387906i \(-0.873198\pi\)
0.0841003 + 0.996457i \(0.473198\pi\)
\(570\) −6.16828 + 19.1090i −0.258361 + 0.800388i
\(571\) 4.83866 + 3.51549i 0.202491 + 0.147119i 0.684410 0.729097i \(-0.260060\pi\)
−0.481919 + 0.876216i \(0.660060\pi\)
\(572\) −16.0218 + 2.53761i −0.669907 + 0.106103i
\(573\) −11.8760 + 18.9409i −0.496126 + 0.791269i
\(574\) 15.2424i 0.636206i
\(575\) 4.67404 + 3.22490i 0.194921 + 0.134488i
\(576\) 1.41652 2.64452i 0.0590216 0.110188i
\(577\) −28.0783 + 14.3066i −1.16891 + 0.595591i −0.927130 0.374739i \(-0.877732\pi\)
−0.241783 + 0.970330i \(0.577732\pi\)
\(578\) 2.94264 + 18.5791i 0.122398 + 0.772789i
\(579\) 0.850312 9.55068i 0.0353377 0.396913i
\(580\) −6.32333 1.43686i −0.262562 0.0596625i
\(581\) 20.4704 + 28.1751i 0.849256 + 1.16890i
\(582\) 2.78613 11.1021i 0.115489 0.460198i
\(583\) −2.29814 + 14.5099i −0.0951791 + 0.600937i
\(584\) 2.80857 + 8.64390i 0.116220 + 0.357687i
\(585\) −36.7820 + 14.8777i −1.52075 + 0.615117i
\(586\) 4.12744 12.7030i 0.170503 0.524755i
\(587\) 10.0374 + 5.11433i 0.414289 + 0.211091i 0.648696 0.761048i \(-0.275315\pi\)
−0.234407 + 0.972139i \(0.575315\pi\)
\(588\) −2.27556 + 0.155623i −0.0938427 + 0.00641777i
\(589\) −27.8269 9.04151i −1.14659 0.372549i
\(590\) −6.39873 + 1.61888i −0.263431 + 0.0666483i
\(591\) 29.1177 33.3927i 1.19774 1.37359i
\(592\) 7.96990 + 1.26231i 0.327561 + 0.0518805i
\(593\) −17.4049 17.4049i −0.714734 0.714734i 0.252788 0.967522i \(-0.418653\pi\)
−0.967522 + 0.252788i \(0.918653\pi\)
\(594\) 11.1161 8.91744i 0.456100 0.365887i
\(595\) −38.4310 + 3.49610i −1.57552 + 0.143326i
\(596\) 7.05865 9.71540i 0.289134 0.397958i
\(597\) 0.0853849 + 0.102075i 0.00349457 + 0.00417764i
\(598\) 3.04966 + 5.98529i 0.124710 + 0.244757i
\(599\) 25.8531 1.05633 0.528165 0.849142i \(-0.322880\pi\)
0.528165 + 0.849142i \(0.322880\pi\)
\(600\) 7.44717 + 4.42037i 0.304029 + 0.180461i
\(601\) −36.7027 −1.49714 −0.748568 0.663058i \(-0.769258\pi\)
−0.748568 + 0.663058i \(0.769258\pi\)
\(602\) 5.75450 + 11.2939i 0.234536 + 0.460303i
\(603\) −0.454755 + 1.30768i −0.0185190 + 0.0532530i
\(604\) 6.54069 9.00249i 0.266137 0.366306i
\(605\) −3.06362 7.14867i −0.124554 0.290635i
\(606\) −2.39740 + 5.62397i −0.0973877 + 0.228458i
\(607\) −23.2173 23.2173i −0.942362 0.942362i 0.0560654 0.998427i \(-0.482144\pi\)
−0.998427 + 0.0560654i \(0.982144\pi\)
\(608\) 5.12077 + 0.811051i 0.207675 + 0.0328925i
\(609\) 10.9178 + 9.52007i 0.442411 + 0.385773i
\(610\) 9.52979 + 3.81204i 0.385850 + 0.154345i
\(611\) −26.1121 8.48435i −1.05638 0.343240i
\(612\) −14.7374 + 10.2521i −0.595723 + 0.414417i
\(613\) 19.5715 + 9.97216i 0.790484 + 0.402772i 0.802122 0.597161i \(-0.203705\pi\)
−0.0116379 + 0.999932i \(0.503705\pi\)
\(614\) −10.1339 + 31.1890i −0.408972 + 1.25869i
\(615\) −18.2210 + 9.32828i −0.734744 + 0.376153i
\(616\) −2.44412 7.52224i −0.0984766 0.303080i
\(617\) −1.00125 + 6.32162i −0.0403086 + 0.254499i −0.999611 0.0278814i \(-0.991124\pi\)
0.959303 + 0.282380i \(0.0911239\pi\)
\(618\) 10.8401 + 2.72038i 0.436053 + 0.109430i
\(619\) 14.0949 + 19.4000i 0.566524 + 0.779753i 0.992138 0.125152i \(-0.0399418\pi\)
−0.425614 + 0.904905i \(0.639942\pi\)
\(620\) −6.46190 + 10.8391i −0.259516 + 0.435307i
\(621\) −4.93451 3.23682i −0.198015 0.129889i
\(622\) −1.61936 10.2243i −0.0649306 0.409956i
\(623\) 3.34426 1.70399i 0.133985 0.0682688i
\(624\) 5.26288 + 8.78935i 0.210684 + 0.351856i
\(625\) −13.6921 + 20.9171i −0.547684 + 0.836685i
\(626\) 13.7188i 0.548313i
\(627\) 20.8661 + 13.0831i 0.833312 + 0.522487i
\(628\) 16.2195 2.56892i 0.647230 0.102511i
\(629\) −39.0658 28.3830i −1.55766 1.13170i
\(630\) −9.97032 16.5787i −0.397227 0.660509i
\(631\) −23.7895 + 17.2841i −0.947046 + 0.688069i −0.950106 0.311926i \(-0.899026\pi\)
0.00306072 + 0.999995i \(0.499026\pi\)
\(632\) 8.30741 8.30741i 0.330451 0.330451i
\(633\) −4.16968 10.3660i −0.165730 0.412011i
\(634\) 17.9501 5.83235i 0.712891 0.231632i
\(635\) 27.9563 + 1.85787i 1.10941 + 0.0737271i
\(636\) 9.04315 2.07320i 0.358584 0.0822077i
\(637\) 3.53606 6.93992i 0.140104 0.274970i
\(638\) −3.61078 + 7.08655i −0.142952 + 0.280559i
\(639\) −11.8853 12.3833i −0.470177 0.489875i
\(640\) 0.830479 2.07613i 0.0328275 0.0820661i
\(641\) 18.3395 5.95888i 0.724368 0.235362i 0.0764522 0.997073i \(-0.475641\pi\)
0.647916 + 0.761712i \(0.275641\pi\)
\(642\) 19.9281 8.01603i 0.786501 0.316367i
\(643\) −2.50826 + 2.50826i −0.0989163 + 0.0989163i −0.754833 0.655917i \(-0.772282\pi\)
0.655917 + 0.754833i \(0.272282\pi\)
\(644\) −2.64978 + 1.92518i −0.104416 + 0.0758627i
\(645\) −9.97915 + 13.7908i −0.392929 + 0.543013i
\(646\) −25.1003 18.2365i −0.987560 0.717504i
\(647\) −36.9778 + 5.85671i −1.45375 + 0.230251i −0.832789 0.553591i \(-0.813257\pi\)
−0.620960 + 0.783842i \(0.713257\pi\)
\(648\) −7.84471 4.41141i −0.308169 0.173296i
\(649\) 8.09547i 0.317775i
\(650\) −26.0152 + 14.0640i −1.02040 + 0.551634i
\(651\) 24.1851 14.4815i 0.947889 0.567576i
\(652\) −5.83680 + 2.97400i −0.228587 + 0.116471i
\(653\) 0.348209 + 2.19851i 0.0136265 + 0.0860342i 0.993564 0.113269i \(-0.0361322\pi\)
−0.979938 + 0.199303i \(0.936132\pi\)
\(654\) −4.81760 0.428918i −0.188383 0.0167720i
\(655\) −2.41455 26.5420i −0.0943442 1.03708i
\(656\) 3.10665 + 4.27594i 0.121294 + 0.166947i
\(657\) 26.0991 7.89200i 1.01822 0.307896i
\(658\) 2.09419 13.2222i 0.0816401 0.515456i
\(659\) 4.81311 + 14.8132i 0.187492 + 0.577041i 0.999982 0.00593344i \(-0.00188868\pi\)
−0.812490 + 0.582975i \(0.801889\pi\)
\(660\) 7.49643 7.52533i 0.291798 0.292923i
\(661\) −0.225919 + 0.695307i −0.00878723 + 0.0270443i −0.955354 0.295464i \(-0.904526\pi\)
0.946567 + 0.322508i \(0.104526\pi\)
\(662\) 28.2773 + 14.4080i 1.09903 + 0.559984i
\(663\) −4.18282 61.1625i −0.162447 2.37536i
\(664\) 11.4851 + 3.73173i 0.445708 + 0.144819i
\(665\) 21.4020 25.6856i 0.829933 0.996043i
\(666\) 4.27660 23.8270i 0.165715 0.923277i
\(667\) 3.25301 + 0.515226i 0.125957 + 0.0199496i
\(668\) 12.0192 + 12.0192i 0.465037 + 0.465037i
\(669\) −8.66651 3.69438i −0.335067 0.142833i
\(670\) −0.228662 + 1.00629i −0.00883398 + 0.0388764i
\(671\) 7.39961 10.1847i 0.285659 0.393176i
\(672\) −3.83135 + 3.20490i −0.147797 + 0.123632i
\(673\) −6.83769 13.4197i −0.263574 0.517292i 0.720853 0.693088i \(-0.243750\pi\)
−0.984427 + 0.175796i \(0.943750\pi\)
\(674\) 16.1131 0.620652
\(675\) 13.7166 22.0648i 0.527953 0.849273i
\(676\) −21.9835 −0.845520
\(677\) 10.5178 + 20.6424i 0.404233 + 0.793351i 0.999952 0.00984177i \(-0.00313278\pi\)
−0.595719 + 0.803193i \(0.703133\pi\)
\(678\) −6.14107 + 5.13697i −0.235846 + 0.197284i
\(679\) −11.2023 + 15.4186i −0.429904 + 0.591712i
\(680\) −10.0684 + 8.81362i −0.386107 + 0.337987i
\(681\) −31.2643 13.3274i −1.19805 0.510708i
\(682\) 10.9443 + 10.9443i 0.419080 + 0.419080i
\(683\) 4.28854 + 0.679239i 0.164097 + 0.0259903i 0.237942 0.971279i \(-0.423527\pi\)
−0.0738455 + 0.997270i \(0.523527\pi\)
\(684\) 2.74778 15.3092i 0.105064 0.585361i
\(685\) 23.6748 + 37.5979i 0.904567 + 1.43654i
\(686\) −15.5874 5.06466i −0.595130 0.193370i
\(687\) −2.06751 30.2317i −0.0788803 1.15341i
\(688\) 3.91618 + 1.99539i 0.149303 + 0.0760736i
\(689\) −9.79031 + 30.1315i −0.372981 + 1.14792i
\(690\) −3.92305 1.98940i −0.149348 0.0757350i
\(691\) −9.14266 28.1382i −0.347803 1.07043i −0.960066 0.279774i \(-0.909741\pi\)
0.612263 0.790654i \(-0.290259\pi\)
\(692\) 1.06212 6.70597i 0.0403758 0.254923i
\(693\) −22.7124 + 6.86790i −0.862772 + 0.260890i
\(694\) 14.0633 + 19.3564i 0.533834 + 0.734759i
\(695\) 14.0602 + 16.0620i 0.533332 + 0.609265i
\(696\) 5.00310 + 0.445433i 0.189642 + 0.0168841i
\(697\) −4.94780 31.2392i −0.187411 1.18327i
\(698\) 22.1821 11.3024i 0.839606 0.427801i
\(699\) −43.1276 + 25.8239i −1.63124 + 0.976750i
\(700\) −8.75722 11.4557i −0.330992 0.432984i
\(701\) 19.5558i 0.738612i −0.929308 0.369306i \(-0.879595\pi\)
0.929308 0.369306i \(-0.120405\pi\)
\(702\) 26.6864 15.2444i 1.00721 0.575363i
\(703\) 41.3208 6.54457i 1.55844 0.246833i
\(704\) −2.21880 1.61205i −0.0836243 0.0607566i
\(705\) 17.0877 5.58850i 0.643561 0.210475i
\(706\) −13.6828 + 9.94116i −0.514960 + 0.374140i
\(707\) 7.19787 7.19787i 0.270704 0.270704i
\(708\) 4.74325 1.90795i 0.178262 0.0717053i
\(709\) 21.2009 6.88858i 0.796216 0.258706i 0.117467 0.993077i \(-0.462523\pi\)
0.678749 + 0.734371i \(0.262523\pi\)
\(710\) −9.82864 8.18952i −0.368862 0.307347i
\(711\) −24.4058 25.4282i −0.915287 0.953634i
\(712\) 0.590863 1.15963i 0.0221435 0.0434591i
\(713\) 2.90979 5.71079i 0.108973 0.213871i
\(714\) 29.1356 6.67952i 1.09037 0.249975i
\(715\) 8.89665 + 35.1645i 0.332716 + 1.31508i
\(716\) −8.92277 + 2.89918i −0.333460 + 0.108348i
\(717\) 3.65385 + 9.08361i 0.136455 + 0.339233i
\(718\) −3.84337 + 3.84337i −0.143433 + 0.143433i
\(719\) −2.20624 + 1.60292i −0.0822787 + 0.0597790i −0.628164 0.778081i \(-0.716193\pi\)
0.545885 + 0.837860i \(0.316193\pi\)
\(720\) −6.17596 2.61868i −0.230165 0.0975924i
\(721\) −15.0547 10.9379i −0.560667 0.407348i
\(722\) 7.78310 1.23272i 0.289657 0.0458772i
\(723\) 20.6865 + 12.9704i 0.769339 + 0.482376i
\(724\) 15.2068i 0.565155i
\(725\) −1.91873 + 14.3723i −0.0712599 + 0.533775i
\(726\) 3.09489 + 5.16867i 0.114862 + 0.191827i
\(727\) 17.3015 8.81556i 0.641677 0.326951i −0.102698 0.994713i \(-0.532747\pi\)
0.744375 + 0.667762i \(0.232747\pi\)
\(728\) −2.66836 16.8473i −0.0988959 0.624404i
\(729\) −13.7142 + 23.2577i −0.507934 + 0.861396i
\(730\) 18.6799 8.00542i 0.691374 0.296294i
\(731\) −15.4599 21.2787i −0.571805 0.787022i
\(732\) −7.71130 1.93519i −0.285018 0.0715266i
\(733\) 3.79691 23.9728i 0.140242 0.885454i −0.812784 0.582566i \(-0.802049\pi\)
0.953026 0.302889i \(-0.0979511\pi\)
\(734\) −5.54024 17.0511i −0.204494 0.629368i
\(735\) 0.807536 + 5.03587i 0.0297864 + 0.185751i
\(736\) −0.350958 + 1.08014i −0.0129365 + 0.0398144i
\(737\) 1.12775 + 0.574618i 0.0415412 + 0.0211663i
\(738\) 13.0163 9.05484i 0.479136 0.333313i
\(739\) 6.13821 + 1.99443i 0.225798 + 0.0733662i 0.419731 0.907649i \(-0.362124\pi\)
−0.193933 + 0.981015i \(0.562124\pi\)
\(740\) 1.19645 18.0037i 0.0439825 0.661828i
\(741\) 40.0322 + 34.9072i 1.47062 + 1.28235i
\(742\) −15.2575 2.41654i −0.560119 0.0887141i
\(743\) 23.0403 + 23.0403i 0.845265 + 0.845265i 0.989538 0.144273i \(-0.0460842\pi\)
−0.144273 + 0.989538i \(0.546084\pi\)
\(744\) 3.83305 8.99180i 0.140526 0.329656i
\(745\) −23.0649 13.7506i −0.845032 0.503782i
\(746\) 15.0422 20.7038i 0.550734 0.758020i
\(747\) 11.8996 34.2184i 0.435385 1.25198i
\(748\) 7.45099 + 14.6234i 0.272435 + 0.534684i
\(749\) −35.7645 −1.30681
\(750\) 8.33495 17.4794i 0.304350 0.638257i
\(751\) 31.4069 1.14606 0.573028 0.819536i \(-0.305769\pi\)
0.573028 + 0.819536i \(0.305769\pi\)
\(752\) −2.10742 4.13604i −0.0768497 0.150826i
\(753\) 19.2458 + 23.0077i 0.701357 + 0.838449i
\(754\) −10.0819 + 13.8766i −0.367162 + 0.505355i
\(755\) −21.3724 12.7416i −0.777821 0.463713i
\(756\) 9.37689 + 11.6889i 0.341034 + 0.425120i
\(757\) 6.35882 + 6.35882i 0.231115 + 0.231115i 0.813158 0.582043i \(-0.197746\pi\)
−0.582043 + 0.813158i \(0.697746\pi\)
\(758\) −9.60713 1.52162i −0.348947 0.0552678i
\(759\) −3.54569 + 4.06626i −0.128700 + 0.147596i
\(760\) 0.768739 11.5676i 0.0278851 0.419601i
\(761\) 8.94031 + 2.90488i 0.324086 + 0.105302i 0.466541 0.884499i \(-0.345500\pi\)
−0.142456 + 0.989801i \(0.545500\pi\)
\(762\) −21.6520 + 1.48075i −0.784370 + 0.0536419i
\(763\) 7.17538 + 3.65604i 0.259766 + 0.132358i
\(764\) 3.98859 12.2756i 0.144302 0.444116i
\(765\) 25.8157 + 30.7414i 0.933368 + 1.11146i
\(766\) 7.53686 + 23.1961i 0.272318 + 0.838108i
\(767\) −2.73115 + 17.2438i −0.0986161 + 0.622637i
\(768\) −0.421593 + 1.67996i −0.0152129 + 0.0606203i
\(769\) −15.8011 21.7484i −0.569803 0.784266i 0.422728 0.906256i \(-0.361072\pi\)
−0.992531 + 0.121990i \(0.961072\pi\)
\(770\) −16.2559 + 6.96661i −0.585823 + 0.251059i
\(771\) 0.931697 10.4648i 0.0335543 0.376881i
\(772\) 0.866006 + 5.46774i 0.0311682 + 0.196788i
\(773\) 19.3692 9.86911i 0.696662 0.354967i −0.0695289 0.997580i \(-0.522150\pi\)