Properties

Label 43.2.g.a.23.2
Level $43$
Weight $2$
Character 43.23
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 23.2
Character \(\chi\) \(=\) 43.23
Dual form 43.2.g.a.15.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.651405 - 0.816837i) q^{2} +(0.922165 + 2.34964i) q^{3} +(0.202149 - 0.885672i) q^{4} +(-0.0373507 + 0.498411i) q^{5} +(1.31857 - 2.28383i) q^{6} +(-1.65334 - 2.86367i) q^{7} +(-2.73775 + 1.31843i) q^{8} +(-2.47126 + 2.29299i) q^{9} +O(q^{10})\) \(q+(-0.651405 - 0.816837i) q^{2} +(0.922165 + 2.34964i) q^{3} +(0.202149 - 0.885672i) q^{4} +(-0.0373507 + 0.498411i) q^{5} +(1.31857 - 2.28383i) q^{6} +(-1.65334 - 2.86367i) q^{7} +(-2.73775 + 1.31843i) q^{8} +(-2.47126 + 2.29299i) q^{9} +(0.431451 - 0.294158i) q^{10} +(0.828392 + 3.62942i) q^{11} +(2.26742 - 0.341759i) q^{12} +(-3.87254 - 2.64025i) q^{13} +(-1.26216 + 3.21592i) q^{14} +(-1.20553 + 0.371857i) q^{15} +(1.22336 + 0.589137i) q^{16} +(-0.343032 - 4.57744i) q^{17} +(3.48279 + 0.524947i) q^{18} +(4.44115 + 4.12079i) q^{19} +(0.433878 + 0.133834i) q^{20} +(5.20394 - 6.52553i) q^{21} +(2.42502 - 3.04088i) q^{22} +(-0.371666 - 0.114644i) q^{23} +(-5.62249 - 5.21691i) q^{24} +(4.69714 + 0.707979i) q^{25} +(0.365938 + 4.88311i) q^{26} +(-0.844152 - 0.406522i) q^{27} +(-2.87049 + 0.885430i) q^{28} +(-1.29147 + 3.29062i) q^{29} +(1.08903 + 0.742491i) q^{30} +(0.861113 - 0.129792i) q^{31} +(1.03666 + 4.54192i) q^{32} +(-7.76391 + 5.29335i) q^{33} +(-3.51557 + 3.26197i) q^{34} +(1.48904 - 0.717083i) q^{35} +(1.53128 + 2.65225i) q^{36} +(-1.96656 + 3.40619i) q^{37} +(0.473019 - 6.31200i) q^{38} +(2.63252 - 11.5338i) q^{39} +(-0.554863 - 1.41377i) q^{40} +(-6.72350 - 8.43100i) q^{41} -8.72017 q^{42} +(6.26851 + 1.92504i) q^{43} +3.38193 q^{44} +(-1.05055 - 1.31735i) q^{45} +(0.148460 + 0.378270i) q^{46} +(-0.776794 + 3.40336i) q^{47} +(-0.256123 + 3.41773i) q^{48} +(-1.96707 + 3.40706i) q^{49} +(-2.48144 - 4.29797i) q^{50} +(10.4390 - 5.02716i) q^{51} +(-3.12123 + 2.89608i) q^{52} +(3.94414 - 2.68907i) q^{53} +(0.217823 + 0.954345i) q^{54} +(-1.83988 + 0.277318i) q^{55} +(8.30197 + 5.66019i) q^{56} +(-5.58689 + 14.2352i) q^{57} +(3.52917 - 1.08861i) q^{58} +(-6.05684 - 2.91682i) q^{59} +(0.0856466 + 1.14287i) q^{60} +(-5.18836 - 0.782019i) q^{61} +(-0.666952 - 0.618841i) q^{62} +(10.6522 + 3.28577i) q^{63} +(4.72789 - 5.92859i) q^{64} +(1.46057 - 1.83150i) q^{65} +(9.38126 + 2.89373i) q^{66} +(-7.73611 - 7.17806i) q^{67} +(-4.12346 - 0.621511i) q^{68} +(-0.0733661 - 0.979002i) q^{69} +(-1.55571 - 0.749189i) q^{70} +(0.859578 - 0.265145i) q^{71} +(3.74253 - 9.53582i) q^{72} +(-0.798611 - 0.544484i) q^{73} +(4.06333 - 0.612448i) q^{74} +(2.66804 + 11.6894i) q^{75} +(4.54744 - 3.10039i) q^{76} +(9.02385 - 8.37291i) q^{77} +(-11.1361 + 5.36286i) q^{78} +(0.500983 + 0.867728i) q^{79} +(-0.339326 + 0.587730i) q^{80} +(-0.579056 + 7.72697i) q^{81} +(-2.50703 + 10.9840i) q^{82} +(-1.24798 - 3.17979i) q^{83} +(-4.72751 - 5.92811i) q^{84} +2.29426 q^{85} +(-2.51090 - 6.37433i) q^{86} -8.92272 q^{87} +(-7.05306 - 8.84426i) q^{88} +(-0.672465 - 1.71341i) q^{89} +(-0.391724 + 1.71626i) q^{90} +(-1.15819 + 15.4549i) q^{91} +(-0.176669 + 0.305999i) q^{92} +(1.09905 + 1.90361i) q^{93} +(3.28599 - 1.58245i) q^{94} +(-2.21973 + 2.05961i) q^{95} +(-9.71589 + 6.62418i) q^{96} +(-0.213753 - 0.936511i) q^{97} +(4.06438 - 0.612606i) q^{98} +(-10.3694 - 7.06974i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.651405 0.816837i −0.460613 0.577591i 0.496232 0.868190i \(-0.334717\pi\)
−0.956845 + 0.290599i \(0.906145\pi\)
\(3\) 0.922165 + 2.34964i 0.532412 + 1.35656i 0.903748 + 0.428066i \(0.140805\pi\)
−0.371335 + 0.928499i \(0.621100\pi\)
\(4\) 0.202149 0.885672i 0.101074 0.442836i
\(5\) −0.0373507 + 0.498411i −0.0167038 + 0.222896i 0.982605 + 0.185710i \(0.0594585\pi\)
−0.999308 + 0.0371862i \(0.988161\pi\)
\(6\) 1.31857 2.28383i 0.538303 0.932368i
\(7\) −1.65334 2.86367i −0.624904 1.08237i −0.988559 0.150832i \(-0.951805\pi\)
0.363655 0.931534i \(-0.381529\pi\)
\(8\) −2.73775 + 1.31843i −0.967940 + 0.466135i
\(9\) −2.47126 + 2.29299i −0.823753 + 0.764331i
\(10\) 0.431451 0.294158i 0.136437 0.0930210i
\(11\) 0.828392 + 3.62942i 0.249769 + 1.09431i 0.931796 + 0.362984i \(0.118242\pi\)
−0.682026 + 0.731328i \(0.738901\pi\)
\(12\) 2.26742 0.341759i 0.654549 0.0986574i
\(13\) −3.87254 2.64025i −1.07405 0.732274i −0.108921 0.994050i \(-0.534739\pi\)
−0.965129 + 0.261776i \(0.915692\pi\)
\(14\) −1.26216 + 3.21592i −0.337325 + 0.859491i
\(15\) −1.20553 + 0.371857i −0.311266 + 0.0960130i
\(16\) 1.22336 + 0.589137i 0.305839 + 0.147284i
\(17\) −0.343032 4.57744i −0.0831975 1.11019i −0.870021 0.493015i \(-0.835895\pi\)
0.786823 0.617178i \(-0.211724\pi\)
\(18\) 3.48279 + 0.524947i 0.820902 + 0.123731i
\(19\) 4.44115 + 4.12079i 1.01887 + 0.945374i 0.998518 0.0544191i \(-0.0173307\pi\)
0.0203524 + 0.999793i \(0.493521\pi\)
\(20\) 0.433878 + 0.133834i 0.0970182 + 0.0299261i
\(21\) 5.20394 6.52553i 1.13559 1.42399i
\(22\) 2.42502 3.04088i 0.517017 0.648319i
\(23\) −0.371666 0.114644i −0.0774978 0.0239049i 0.255764 0.966739i \(-0.417673\pi\)
−0.333262 + 0.942834i \(0.608149\pi\)
\(24\) −5.62249 5.21691i −1.14769 1.06490i
\(25\) 4.69714 + 0.707979i 0.939427 + 0.141596i
\(26\) 0.365938 + 4.88311i 0.0717664 + 0.957656i
\(27\) −0.844152 0.406522i −0.162457 0.0782352i
\(28\) −2.87049 + 0.885430i −0.542472 + 0.167331i
\(29\) −1.29147 + 3.29062i −0.239820 + 0.611053i −0.999217 0.0395760i \(-0.987399\pi\)
0.759396 + 0.650629i \(0.225495\pi\)
\(30\) 1.08903 + 0.742491i 0.198830 + 0.135560i
\(31\) 0.861113 0.129792i 0.154660 0.0233113i −0.0712556 0.997458i \(-0.522701\pi\)
0.225916 + 0.974147i \(0.427463\pi\)
\(32\) 1.03666 + 4.54192i 0.183258 + 0.802905i
\(33\) −7.76391 + 5.29335i −1.35152 + 0.921454i
\(34\) −3.51557 + 3.26197i −0.602915 + 0.559424i
\(35\) 1.48904 0.717083i 0.251693 0.121209i
\(36\) 1.53128 + 2.65225i 0.255213 + 0.442042i
\(37\) −1.96656 + 3.40619i −0.323301 + 0.559974i −0.981167 0.193161i \(-0.938126\pi\)
0.657866 + 0.753135i \(0.271459\pi\)
\(38\) 0.473019 6.31200i 0.0767338 1.02394i
\(39\) 2.63252 11.5338i 0.421540 1.84689i
\(40\) −0.554863 1.41377i −0.0877315 0.223536i
\(41\) −6.72350 8.43100i −1.05003 1.31670i −0.946722 0.322053i \(-0.895627\pi\)
−0.103313 0.994649i \(-0.532944\pi\)
\(42\) −8.72017 −1.34555
\(43\) 6.26851 + 1.92504i 0.955939 + 0.293566i
\(44\) 3.38193 0.509846
\(45\) −1.05055 1.31735i −0.156607 0.196379i
\(46\) 0.148460 + 0.378270i 0.0218893 + 0.0557729i
\(47\) −0.776794 + 3.40336i −0.113307 + 0.496430i 0.886147 + 0.463403i \(0.153372\pi\)
−0.999454 + 0.0330270i \(0.989485\pi\)
\(48\) −0.256123 + 3.41773i −0.0369682 + 0.493307i
\(49\) −1.96707 + 3.40706i −0.281010 + 0.486724i
\(50\) −2.48144 4.29797i −0.350928 0.607825i
\(51\) 10.4390 5.02716i 1.46175 0.703943i
\(52\) −3.12123 + 2.89608i −0.432836 + 0.401614i
\(53\) 3.94414 2.68907i 0.541770 0.369372i −0.261300 0.965258i \(-0.584151\pi\)
0.803069 + 0.595885i \(0.203199\pi\)
\(54\) 0.217823 + 0.954345i 0.0296420 + 0.129870i
\(55\) −1.83988 + 0.277318i −0.248090 + 0.0373935i
\(56\) 8.30197 + 5.66019i 1.10940 + 0.756375i
\(57\) −5.58689 + 14.2352i −0.740001 + 1.88549i
\(58\) 3.52917 1.08861i 0.463403 0.142941i
\(59\) −6.05684 2.91682i −0.788534 0.379738i −0.00413260 0.999991i \(-0.501315\pi\)
−0.784401 + 0.620253i \(0.787030\pi\)
\(60\) 0.0856466 + 1.14287i 0.0110569 + 0.147544i
\(61\) −5.18836 0.782019i −0.664301 0.100127i −0.191768 0.981440i \(-0.561422\pi\)
−0.472533 + 0.881313i \(0.656660\pi\)
\(62\) −0.666952 0.618841i −0.0847030 0.0785929i
\(63\) 10.6522 + 3.28577i 1.34205 + 0.413968i
\(64\) 4.72789 5.92859i 0.590987 0.741074i
\(65\) 1.46057 1.83150i 0.181162 0.227170i
\(66\) 9.38126 + 2.89373i 1.15475 + 0.356194i
\(67\) −7.73611 7.17806i −0.945116 0.876940i 0.0474219 0.998875i \(-0.484899\pi\)
−0.992538 + 0.121935i \(0.961090\pi\)
\(68\) −4.12346 0.621511i −0.500043 0.0753693i
\(69\) −0.0733661 0.979002i −0.00883224 0.117858i
\(70\) −1.55571 0.749189i −0.185943 0.0895452i
\(71\) 0.859578 0.265145i 0.102013 0.0314669i −0.243328 0.969944i \(-0.578239\pi\)
0.345342 + 0.938477i \(0.387763\pi\)
\(72\) 3.74253 9.53582i 0.441062 1.12381i
\(73\) −0.798611 0.544484i −0.0934704 0.0637270i 0.515683 0.856779i \(-0.327538\pi\)
−0.609153 + 0.793052i \(0.708491\pi\)
\(74\) 4.06333 0.612448i 0.472352 0.0711956i
\(75\) 2.66804 + 11.6894i 0.308079 + 1.34978i
\(76\) 4.54744 3.10039i 0.521627 0.355640i
\(77\) 9.02385 8.37291i 1.02836 0.954181i
\(78\) −11.1361 + 5.36286i −1.26091 + 0.607224i
\(79\) 0.500983 + 0.867728i 0.0563650 + 0.0976270i 0.892831 0.450392i \(-0.148716\pi\)
−0.836466 + 0.548019i \(0.815382\pi\)
\(80\) −0.339326 + 0.587730i −0.0379378 + 0.0657102i
\(81\) −0.579056 + 7.72697i −0.0643396 + 0.858552i
\(82\) −2.50703 + 10.9840i −0.276855 + 1.21298i
\(83\) −1.24798 3.17979i −0.136983 0.349027i 0.845878 0.533377i \(-0.179077\pi\)
−0.982861 + 0.184350i \(0.940982\pi\)
\(84\) −4.72751 5.92811i −0.515814 0.646810i
\(85\) 2.29426 0.248847
\(86\) −2.51090 6.37433i −0.270757 0.687362i
\(87\) −8.92272 −0.956616
\(88\) −7.05306 8.84426i −0.751859 0.942801i
\(89\) −0.672465 1.71341i −0.0712811 0.181621i 0.890793 0.454409i \(-0.150150\pi\)
−0.962074 + 0.272788i \(0.912054\pi\)
\(90\) −0.391724 + 1.71626i −0.0412914 + 0.180909i
\(91\) −1.15819 + 15.4549i −0.121411 + 1.62012i
\(92\) −0.176669 + 0.305999i −0.0184190 + 0.0319026i
\(93\) 1.09905 + 1.90361i 0.113966 + 0.197396i
\(94\) 3.28599 1.58245i 0.338924 0.163217i
\(95\) −2.21973 + 2.05961i −0.227739 + 0.211311i
\(96\) −9.71589 + 6.62418i −0.991624 + 0.676078i
\(97\) −0.213753 0.936511i −0.0217033 0.0950883i 0.962916 0.269800i \(-0.0869577\pi\)
−0.984620 + 0.174712i \(0.944101\pi\)
\(98\) 4.06438 0.612606i 0.410564 0.0618825i
\(99\) −10.3694 7.06974i −1.04216 0.710536i
\(100\) 1.57656 4.01700i 0.157656 0.401700i
\(101\) 15.7085 4.84543i 1.56305 0.482138i 0.611921 0.790919i \(-0.290397\pi\)
0.951133 + 0.308781i \(0.0999210\pi\)
\(102\) −10.9064 5.25224i −1.07989 0.520050i
\(103\) −0.0427552 0.570528i −0.00421279 0.0562158i 0.994701 0.102808i \(-0.0327828\pi\)
−0.998914 + 0.0465925i \(0.985164\pi\)
\(104\) 14.0830 + 2.12267i 1.38095 + 0.208145i
\(105\) 3.05803 + 2.83743i 0.298433 + 0.276905i
\(106\) −4.76577 1.47004i −0.462892 0.142783i
\(107\) −10.0832 + 12.6440i −0.974785 + 1.22234i 0.000184398 1.00000i \(0.499941\pi\)
−0.974969 + 0.222341i \(0.928630\pi\)
\(108\) −0.530690 + 0.665464i −0.0510656 + 0.0640343i
\(109\) −6.23712 1.92390i −0.597407 0.184276i −0.0187194 0.999825i \(-0.505959\pi\)
−0.578688 + 0.815549i \(0.696435\pi\)
\(110\) 1.42503 + 1.32224i 0.135872 + 0.126070i
\(111\) −9.81680 1.47965i −0.931770 0.140442i
\(112\) −0.335530 4.47733i −0.0317046 0.423068i
\(113\) 1.53214 + 0.737838i 0.144131 + 0.0694100i 0.504559 0.863377i \(-0.331655\pi\)
−0.360428 + 0.932787i \(0.617369\pi\)
\(114\) 15.2671 4.70929i 1.42990 0.441065i
\(115\) 0.0710218 0.180961i 0.00662281 0.0168747i
\(116\) 2.65334 + 1.80902i 0.246356 + 0.167963i
\(117\) 15.6241 2.35496i 1.44445 0.217716i
\(118\) 1.56289 + 6.84749i 0.143876 + 0.630362i
\(119\) −12.5411 + 8.55040i −1.14964 + 0.783814i
\(120\) 2.81017 2.60746i 0.256532 0.238027i
\(121\) −2.57580 + 1.24044i −0.234164 + 0.112767i
\(122\) 2.74094 + 4.74745i 0.248153 + 0.429814i
\(123\) 13.6096 23.5726i 1.22714 2.12547i
\(124\) 0.0591199 0.788901i 0.00530913 0.0708454i
\(125\) −1.08440 + 4.75105i −0.0969913 + 0.424947i
\(126\) −4.25497 10.8415i −0.379063 0.965836i
\(127\) 9.78615 + 12.2714i 0.868380 + 1.08891i 0.995284 + 0.0969996i \(0.0309246\pi\)
−0.126904 + 0.991915i \(0.540504\pi\)
\(128\) 1.39498 0.123300
\(129\) 1.25745 + 16.5039i 0.110712 + 1.45309i
\(130\) −2.44746 −0.214657
\(131\) −6.68767 8.38607i −0.584304 0.732694i 0.398536 0.917153i \(-0.369518\pi\)
−0.982840 + 0.184458i \(0.940947\pi\)
\(132\) 3.11870 + 7.94633i 0.271448 + 0.691639i
\(133\) 4.45784 19.5311i 0.386544 1.69356i
\(134\) −0.823959 + 10.9950i −0.0711792 + 0.949820i
\(135\) 0.234145 0.405551i 0.0201520 0.0349042i
\(136\) 6.97417 + 12.0796i 0.598030 + 1.03582i
\(137\) 7.28496 3.50825i 0.622396 0.299730i −0.0959821 0.995383i \(-0.530599\pi\)
0.718378 + 0.695653i \(0.244885\pi\)
\(138\) −0.751894 + 0.697655i −0.0640054 + 0.0593884i
\(139\) 10.6300 7.24742i 0.901625 0.614718i −0.0212677 0.999774i \(-0.506770\pi\)
0.922893 + 0.385056i \(0.125818\pi\)
\(140\) −0.334093 1.46376i −0.0282360 0.123710i
\(141\) −8.71299 + 1.31327i −0.733766 + 0.110597i
\(142\) −0.776513 0.529418i −0.0651636 0.0444278i
\(143\) 6.37461 16.2422i 0.533072 1.35824i
\(144\) −4.37412 + 1.34924i −0.364510 + 0.112436i
\(145\) −1.59184 0.766591i −0.132195 0.0636620i
\(146\) 0.0754653 + 1.00701i 0.00624556 + 0.0833411i
\(147\) −9.81934 1.48003i −0.809885 0.122071i
\(148\) 2.61923 + 2.43029i 0.215299 + 0.199768i
\(149\) −7.10954 2.19300i −0.582436 0.179658i −0.0104843 0.999945i \(-0.503337\pi\)
−0.571952 + 0.820287i \(0.693813\pi\)
\(150\) 7.81039 9.79392i 0.637716 0.799671i
\(151\) −2.97754 + 3.73371i −0.242309 + 0.303845i −0.888083 0.459683i \(-0.847963\pi\)
0.645775 + 0.763528i \(0.276535\pi\)
\(152\) −17.5917 5.42633i −1.42688 0.440133i
\(153\) 11.3438 + 10.5255i 0.917089 + 0.850935i
\(154\) −12.7175 1.91685i −1.02480 0.154464i
\(155\) 0.0325265 + 0.434036i 0.00261259 + 0.0348626i
\(156\) −9.68302 4.66310i −0.775262 0.373347i
\(157\) 12.8438 3.96180i 1.02505 0.316186i 0.263754 0.964590i \(-0.415039\pi\)
0.761297 + 0.648404i \(0.224563\pi\)
\(158\) 0.382449 0.974464i 0.0304260 0.0775242i
\(159\) 9.95550 + 6.78754i 0.789522 + 0.538287i
\(160\) −2.30246 + 0.347040i −0.182026 + 0.0274359i
\(161\) 0.286189 + 1.25387i 0.0225548 + 0.0988192i
\(162\) 6.68887 4.56040i 0.525527 0.358298i
\(163\) −13.7295 + 12.7392i −1.07538 + 0.997808i −0.0753814 + 0.997155i \(0.524017\pi\)
−1.00000 0.000653135i \(0.999792\pi\)
\(164\) −8.82625 + 4.25050i −0.689215 + 0.331908i
\(165\) −2.34827 4.06733i −0.182813 0.316641i
\(166\) −1.78443 + 3.09072i −0.138499 + 0.239887i
\(167\) −1.03540 + 13.8165i −0.0801219 + 1.06915i 0.801749 + 0.597661i \(0.203903\pi\)
−0.881871 + 0.471491i \(0.843716\pi\)
\(168\) −5.64361 + 24.7263i −0.435414 + 1.90767i
\(169\) 3.27620 + 8.34761i 0.252015 + 0.642124i
\(170\) −1.49449 1.87404i −0.114622 0.143732i
\(171\) −20.4242 −1.56188
\(172\) 2.97213 5.16270i 0.226623 0.393652i
\(173\) −13.8705 −1.05456 −0.527278 0.849693i \(-0.676787\pi\)
−0.527278 + 0.849693i \(0.676787\pi\)
\(174\) 5.81231 + 7.28840i 0.440630 + 0.552533i
\(175\) −5.73855 14.6216i −0.433793 1.10529i
\(176\) −1.12481 + 4.92811i −0.0847857 + 0.371470i
\(177\) 1.26807 16.9212i 0.0953138 1.27187i
\(178\) −0.961530 + 1.66542i −0.0720698 + 0.124828i
\(179\) −3.09219 5.35583i −0.231121 0.400313i 0.727017 0.686619i \(-0.240906\pi\)
−0.958138 + 0.286306i \(0.907573\pi\)
\(180\) −1.37911 + 0.664142i −0.102792 + 0.0495023i
\(181\) −2.71431 + 2.51851i −0.201753 + 0.187200i −0.774578 0.632478i \(-0.782038\pi\)
0.572825 + 0.819678i \(0.305847\pi\)
\(182\) 13.3786 9.12137i 0.991687 0.676121i
\(183\) −2.94706 12.9119i −0.217853 0.954477i
\(184\) 1.16868 0.176150i 0.0861561 0.0129859i
\(185\) −1.62423 1.10738i −0.119416 0.0814162i
\(186\) 0.839013 2.13777i 0.0615194 0.156749i
\(187\) 16.3293 5.03692i 1.19412 0.368336i
\(188\) 2.85723 + 1.37597i 0.208385 + 0.100353i
\(189\) 0.231525 + 3.08949i 0.0168410 + 0.224727i
\(190\) 3.12830 + 0.471516i 0.226951 + 0.0342074i
\(191\) −8.36809 7.76446i −0.605494 0.561816i 0.316709 0.948523i \(-0.397422\pi\)
−0.922203 + 0.386706i \(0.873613\pi\)
\(192\) 18.2900 + 5.64170i 1.31996 + 0.407155i
\(193\) −5.26831 + 6.60625i −0.379221 + 0.475528i −0.934412 0.356195i \(-0.884074\pi\)
0.555191 + 0.831723i \(0.312645\pi\)
\(194\) −0.625737 + 0.784650i −0.0449253 + 0.0563346i
\(195\) 5.65026 + 1.74287i 0.404623 + 0.124810i
\(196\) 2.61990 + 2.43091i 0.187136 + 0.173637i
\(197\) 21.4229 + 3.22898i 1.52632 + 0.230056i 0.857934 0.513760i \(-0.171748\pi\)
0.668385 + 0.743816i \(0.266986\pi\)
\(198\) 0.979865 + 13.0754i 0.0696359 + 0.929227i
\(199\) 8.90021 + 4.28611i 0.630919 + 0.303835i 0.721878 0.692020i \(-0.243279\pi\)
−0.0909593 + 0.995855i \(0.528993\pi\)
\(200\) −13.7930 + 4.25457i −0.975312 + 0.300844i
\(201\) 9.73188 24.7964i 0.686434 1.74900i
\(202\) −14.1905 9.67494i −0.998442 0.680726i
\(203\) 11.5585 1.74216i 0.811247 0.122276i
\(204\) −2.34218 10.2618i −0.163986 0.718468i
\(205\) 4.45323 3.03616i 0.311027 0.212055i
\(206\) −0.438177 + 0.406569i −0.0305293 + 0.0283270i
\(207\) 1.18136 0.568914i 0.0821103 0.0395422i
\(208\) −3.18202 5.51143i −0.220634 0.382149i
\(209\) −11.2771 + 19.5324i −0.780051 + 1.35109i
\(210\) 0.325705 4.34623i 0.0224758 0.299918i
\(211\) 3.40455 14.9163i 0.234379 1.02688i −0.711583 0.702602i \(-0.752022\pi\)
0.945962 0.324278i \(-0.105121\pi\)
\(212\) −1.58433 4.03681i −0.108812 0.277249i
\(213\) 1.41567 + 1.77519i 0.0969999 + 0.121634i
\(214\) 16.8964 1.15501
\(215\) −1.19360 + 3.05239i −0.0814025 + 0.208171i
\(216\) 2.84704 0.193717
\(217\) −1.79539 2.25135i −0.121879 0.152832i
\(218\) 2.49138 + 6.34794i 0.168738 + 0.429937i
\(219\) 0.542889 2.37855i 0.0366850 0.160728i
\(220\) −0.126318 + 1.68559i −0.00851634 + 0.113643i
\(221\) −10.7572 + 18.6320i −0.723608 + 1.25333i
\(222\) 5.18609 + 8.98257i 0.348068 + 0.602871i
\(223\) −10.5564 + 5.08368i −0.706907 + 0.340428i −0.752555 0.658529i \(-0.771179\pi\)
0.0456482 + 0.998958i \(0.485465\pi\)
\(224\) 11.2926 10.4780i 0.754518 0.700091i
\(225\) −13.2312 + 9.02090i −0.882082 + 0.601394i
\(226\) −0.395349 1.73214i −0.0262982 0.115220i
\(227\) −8.93878 + 1.34730i −0.593288 + 0.0894238i −0.438821 0.898574i \(-0.644604\pi\)
−0.154466 + 0.987998i \(0.549366\pi\)
\(228\) 11.4783 + 7.82577i 0.760169 + 0.518274i
\(229\) −5.69852 + 14.5196i −0.376569 + 0.959482i 0.609446 + 0.792827i \(0.291392\pi\)
−0.986015 + 0.166655i \(0.946704\pi\)
\(230\) −0.194079 + 0.0598655i −0.0127972 + 0.00394741i
\(231\) 27.9948 + 13.4816i 1.84192 + 0.887023i
\(232\) −0.802723 10.7116i −0.0527014 0.703251i
\(233\) 4.64471 + 0.700078i 0.304285 + 0.0458636i 0.299410 0.954124i \(-0.403210\pi\)
0.00487511 + 0.999988i \(0.498448\pi\)
\(234\) −12.1013 11.2283i −0.791084 0.734019i
\(235\) −1.66726 0.514280i −0.108760 0.0335480i
\(236\) −3.80773 + 4.77475i −0.247862 + 0.310809i
\(237\) −1.57686 + 1.97732i −0.102428 + 0.128441i
\(238\) 15.1536 + 4.67428i 0.982265 + 0.302989i
\(239\) 3.01626 + 2.79868i 0.195106 + 0.181032i 0.771676 0.636016i \(-0.219419\pi\)
−0.576570 + 0.817048i \(0.695609\pi\)
\(240\) −1.69387 0.255309i −0.109339 0.0164802i
\(241\) 0.243946 + 3.25523i 0.0157139 + 0.209688i 0.999534 + 0.0305279i \(0.00971886\pi\)
−0.983820 + 0.179160i \(0.942662\pi\)
\(242\) 2.69113 + 1.29598i 0.172992 + 0.0833087i
\(243\) −21.3755 + 6.59347i −1.37124 + 0.422971i
\(244\) −1.74143 + 4.43710i −0.111484 + 0.284056i
\(245\) −1.62465 1.10767i −0.103795 0.0707662i
\(246\) −28.1203 + 4.23846i −1.79289 + 0.270234i
\(247\) −6.31862 27.6837i −0.402044 1.76147i
\(248\) −2.18639 + 1.49065i −0.138836 + 0.0946566i
\(249\) 6.32052 5.86458i 0.400547 0.371653i
\(250\) 4.58721 2.20908i 0.290121 0.139715i
\(251\) −2.73625 4.73933i −0.172711 0.299144i 0.766656 0.642058i \(-0.221919\pi\)
−0.939367 + 0.342914i \(0.888586\pi\)
\(252\) 5.06345 8.77015i 0.318967 0.552468i
\(253\) 0.108206 1.44390i 0.00680283 0.0907774i
\(254\) 3.64901 15.9874i 0.228959 1.00314i
\(255\) 2.11569 + 5.39068i 0.132490 + 0.337578i
\(256\) −10.3645 12.9967i −0.647780 0.812291i
\(257\) −8.41973 −0.525208 −0.262604 0.964904i \(-0.584581\pi\)
−0.262604 + 0.964904i \(0.584581\pi\)
\(258\) 12.6619 11.7779i 0.788296 0.733259i
\(259\) 13.0056 0.808128
\(260\) −1.32686 1.66383i −0.0822881 0.103186i
\(261\) −4.35380 11.0933i −0.269494 0.686659i
\(262\) −2.49367 + 10.9255i −0.154059 + 0.674977i
\(263\) 0.457346 6.10286i 0.0282012 0.376319i −0.965191 0.261547i \(-0.915767\pi\)
0.993392 0.114772i \(-0.0366136\pi\)
\(264\) 14.2767 24.7280i 0.878672 1.52190i
\(265\) 1.19295 + 2.06624i 0.0732821 + 0.126928i
\(266\) −18.8576 + 9.08132i −1.15623 + 0.556811i
\(267\) 3.40578 3.16010i 0.208430 0.193395i
\(268\) −7.92125 + 5.40062i −0.483868 + 0.329895i
\(269\) −0.510581 2.23700i −0.0311307 0.136392i 0.956974 0.290172i \(-0.0937126\pi\)
−0.988105 + 0.153780i \(0.950855\pi\)
\(270\) −0.483792 + 0.0729199i −0.0294426 + 0.00443776i
\(271\) 22.6364 + 15.4333i 1.37506 + 0.937503i 0.999945 + 0.0105270i \(0.00335092\pi\)
0.375120 + 0.926976i \(0.377601\pi\)
\(272\) 2.27709 5.80194i 0.138069 0.351794i
\(273\) −37.3815 + 11.5307i −2.26243 + 0.697868i
\(274\) −7.61113 3.66533i −0.459805 0.221430i
\(275\) 1.32151 + 17.6344i 0.0796902 + 1.06339i
\(276\) −0.881906 0.132926i −0.0530845 0.00800120i
\(277\) 19.4981 + 18.0916i 1.17153 + 1.08702i 0.994704 + 0.102778i \(0.0327731\pi\)
0.176825 + 0.984242i \(0.443417\pi\)
\(278\) −12.8444 3.96197i −0.770356 0.237623i
\(279\) −1.83042 + 2.29528i −0.109584 + 0.137415i
\(280\) −3.13119 + 3.92638i −0.187124 + 0.234646i
\(281\) 15.9359 + 4.91556i 0.950653 + 0.293238i 0.731029 0.682347i \(-0.239041\pi\)
0.219625 + 0.975584i \(0.429517\pi\)
\(282\) 6.74842 + 6.26162i 0.401862 + 0.372874i
\(283\) −16.9165 2.54976i −1.00558 0.151567i −0.374455 0.927245i \(-0.622170\pi\)
−0.631129 + 0.775678i \(0.717408\pi\)
\(284\) −0.0610685 0.814903i −0.00362375 0.0483556i
\(285\) −6.88629 3.31626i −0.407908 0.196438i
\(286\) −17.4197 + 5.37327i −1.03005 + 0.317728i
\(287\) −13.0274 + 33.1932i −0.768982 + 1.95933i
\(288\) −12.9765 8.84720i −0.764645 0.521326i
\(289\) −4.02518 + 0.606699i −0.236776 + 0.0356882i
\(290\) 0.410756 + 1.79964i 0.0241204 + 0.105678i
\(291\) 2.00335 1.36586i 0.117438 0.0800681i
\(292\) −0.643673 + 0.597241i −0.0376681 + 0.0349509i
\(293\) 26.9499 12.9784i 1.57443 0.758206i 0.576181 0.817322i \(-0.304542\pi\)
0.998251 + 0.0591160i \(0.0188282\pi\)
\(294\) 5.18743 + 8.98489i 0.302537 + 0.524009i
\(295\) 1.68000 2.90985i 0.0978136 0.169418i
\(296\) 0.893134 11.9180i 0.0519124 0.692723i
\(297\) 0.776151 3.40054i 0.0450369 0.197319i
\(298\) 2.83987 + 7.23586i 0.164509 + 0.419162i
\(299\) 1.13660 + 1.42526i 0.0657315 + 0.0824247i
\(300\) 10.8924 0.628871
\(301\) −4.85130 21.1337i −0.279624 1.21813i
\(302\) 4.98942 0.287109
\(303\) 25.8708 + 32.4410i 1.48624 + 1.86369i
\(304\) 3.00540 + 7.65764i 0.172372 + 0.439196i
\(305\) 0.583556 2.55673i 0.0334143 0.146398i
\(306\) 1.20820 16.1224i 0.0690684 0.921654i
\(307\) 6.72148 11.6419i 0.383615 0.664441i −0.607961 0.793967i \(-0.708012\pi\)
0.991576 + 0.129526i \(0.0413456\pi\)
\(308\) −5.59149 9.68474i −0.318605 0.551840i
\(309\) 1.30111 0.626581i 0.0740175 0.0356449i
\(310\) 0.333348 0.309302i 0.0189329 0.0175672i
\(311\) 12.5506 8.55684i 0.711678 0.485214i −0.152562 0.988294i \(-0.548752\pi\)
0.864240 + 0.503080i \(0.167800\pi\)
\(312\) 7.99936 + 35.0475i 0.452874 + 1.98417i
\(313\) −11.2647 + 1.69789i −0.636721 + 0.0959702i −0.459467 0.888195i \(-0.651960\pi\)
−0.177254 + 0.984165i \(0.556721\pi\)
\(314\) −11.6027 7.91058i −0.654778 0.446420i
\(315\) −2.03553 + 5.18645i −0.114689 + 0.292224i
\(316\) 0.869795 0.268296i 0.0489298 0.0150928i
\(317\) 20.5592 + 9.90081i 1.15472 + 0.556085i 0.910449 0.413622i \(-0.135736\pi\)
0.244273 + 0.969707i \(0.421451\pi\)
\(318\) −0.940751 12.5535i −0.0527547 0.703963i
\(319\) −13.0129 1.96138i −0.728582 0.109816i
\(320\) 2.77829 + 2.57787i 0.155311 + 0.144107i
\(321\) −39.0073 12.0321i −2.17717 0.671569i
\(322\) 0.837786 1.05055i 0.0466880 0.0585449i
\(323\) 17.3392 21.7427i 0.964780 1.20980i
\(324\) 6.72650 + 2.07485i 0.373695 + 0.115270i
\(325\) −16.3206 15.1433i −0.905304 0.839999i
\(326\) 19.3493 + 2.91644i 1.07166 + 0.161527i
\(327\) −1.23119 16.4291i −0.0680851 0.908533i
\(328\) 29.5229 + 14.2175i 1.63013 + 0.785030i
\(329\) 11.0304 3.40242i 0.608125 0.187582i
\(330\) −1.79267 + 4.56764i −0.0986830 + 0.251440i
\(331\) 12.8486 + 8.76005i 0.706225 + 0.481496i 0.862396 0.506234i \(-0.168963\pi\)
−0.156171 + 0.987730i \(0.549915\pi\)
\(332\) −3.06853 + 0.462506i −0.168407 + 0.0253833i
\(333\) −2.95048 12.9269i −0.161685 0.708389i
\(334\) 11.9603 8.15438i 0.654438 0.446188i
\(335\) 3.86657 3.58766i 0.211254 0.196015i
\(336\) 10.2107 4.91722i 0.557040 0.268256i
\(337\) −7.45198 12.9072i −0.405935 0.703101i 0.588494 0.808501i \(-0.299721\pi\)
−0.994430 + 0.105401i \(0.966388\pi\)
\(338\) 4.68450 8.11380i 0.254803 0.441332i
\(339\) −0.320770 + 4.28038i −0.0174218 + 0.232478i
\(340\) 0.463782 2.03196i 0.0251521 0.110199i
\(341\) 1.18441 + 3.01782i 0.0641393 + 0.163424i
\(342\) 13.3044 + 16.6832i 0.719421 + 0.902126i
\(343\) −10.1378 −0.547391
\(344\) −19.6996 + 2.99431i −1.06213 + 0.161443i
\(345\) 0.490686 0.0264176
\(346\) 9.03533 + 11.3299i 0.485743 + 0.609102i
\(347\) 9.92490 + 25.2882i 0.532797 + 1.35754i 0.903419 + 0.428760i \(0.141049\pi\)
−0.370622 + 0.928784i \(0.620855\pi\)
\(348\) −1.80372 + 7.90260i −0.0966894 + 0.423624i
\(349\) 2.11902 28.2763i 0.113428 1.51360i −0.592649 0.805461i \(-0.701918\pi\)
0.706077 0.708135i \(-0.250463\pi\)
\(350\) −8.20532 + 14.2120i −0.438593 + 0.759665i
\(351\) 2.19569 + 3.80305i 0.117197 + 0.202992i
\(352\) −15.6258 + 7.52497i −0.832856 + 0.401082i
\(353\) 14.4582 13.4153i 0.769532 0.714022i −0.194179 0.980966i \(-0.562204\pi\)
0.963712 + 0.266944i \(0.0860139\pi\)
\(354\) −14.6479 + 9.98675i −0.778526 + 0.530790i
\(355\) 0.100045 + 0.438326i 0.00530984 + 0.0232639i
\(356\) −1.65346 + 0.249219i −0.0876332 + 0.0132086i
\(357\) −31.6554 21.5823i −1.67538 1.14225i
\(358\) −2.36057 + 6.01463i −0.124760 + 0.317883i
\(359\) −26.9263 + 8.30565i −1.42111 + 0.438355i −0.907640 0.419750i \(-0.862118\pi\)
−0.513474 + 0.858105i \(0.671642\pi\)
\(360\) 4.61297 + 2.22149i 0.243125 + 0.117083i
\(361\) 1.32308 + 17.6552i 0.0696357 + 0.929223i
\(362\) 3.82533 + 0.576576i 0.201055 + 0.0303042i
\(363\) −5.28991 4.90832i −0.277648 0.257620i
\(364\) 13.4539 + 4.14997i 0.705174 + 0.217517i
\(365\) 0.301206 0.377700i 0.0157658 0.0197697i
\(366\) −8.62720 + 10.8182i −0.450951 + 0.565474i
\(367\) −28.2270 8.70689i −1.47344 0.454496i −0.548999 0.835823i \(-0.684991\pi\)
−0.924440 + 0.381327i \(0.875467\pi\)
\(368\) −0.387139 0.359213i −0.0201810 0.0187253i
\(369\) 35.9478 + 5.41825i 1.87137 + 0.282063i
\(370\) 0.153483 + 2.04808i 0.00797918 + 0.106475i
\(371\) −14.2216 6.84877i −0.738350 0.355570i
\(372\) 1.90815 0.588586i 0.0989330 0.0305168i
\(373\) −11.7449 + 29.9254i −0.608126 + 1.54948i 0.211983 + 0.977273i \(0.432008\pi\)
−0.820109 + 0.572207i \(0.806087\pi\)
\(374\) −14.7513 10.0573i −0.762773 0.520050i
\(375\) −12.1632 + 1.83331i −0.628107 + 0.0946719i
\(376\) −2.36042 10.3417i −0.121729 0.533331i
\(377\) 13.6893 9.33324i 0.705037 0.480686i
\(378\) 2.37279 2.20163i 0.122043 0.113240i
\(379\) 16.2426 7.82203i 0.834327 0.401791i 0.0325909 0.999469i \(-0.489624\pi\)
0.801736 + 0.597678i \(0.203910\pi\)
\(380\) 1.37542 + 2.38230i 0.0705576 + 0.122209i
\(381\) −19.8090 + 34.3102i −1.01485 + 1.75777i
\(382\) −0.891270 + 11.8932i −0.0456014 + 0.608508i
\(383\) 5.11016 22.3891i 0.261117 1.14403i −0.658925 0.752208i \(-0.728989\pi\)
0.920042 0.391819i \(-0.128154\pi\)
\(384\) 1.28640 + 3.27769i 0.0656462 + 0.167264i
\(385\) 3.83610 + 4.81032i 0.195506 + 0.245157i
\(386\) 8.82803 0.449335
\(387\) −19.9052 + 9.61638i −1.01184 + 0.488828i
\(388\) −0.872652 −0.0443022
\(389\) −14.2264 17.8394i −0.721309 0.904493i 0.277102 0.960841i \(-0.410626\pi\)
−0.998411 + 0.0563472i \(0.982055\pi\)
\(390\) −2.25697 5.75066i −0.114286 0.291196i
\(391\) −0.397282 + 1.74061i −0.0200914 + 0.0880263i
\(392\) 0.893365 11.9211i 0.0451217 0.602108i
\(393\) 13.5371 23.4470i 0.682857 1.18274i
\(394\) −11.3174 19.6024i −0.570165 0.987554i
\(395\) −0.451197 + 0.217285i −0.0227022 + 0.0109328i
\(396\) −8.35764 + 7.75476i −0.419987 + 0.389691i
\(397\) −7.13200 + 4.86251i −0.357945 + 0.244043i −0.728918 0.684601i \(-0.759976\pi\)
0.370973 + 0.928644i \(0.379024\pi\)
\(398\) −2.29659 10.0620i −0.115118 0.504363i
\(399\) 50.0018 7.53656i 2.50322 0.377300i
\(400\) 5.32917 + 3.63337i 0.266459 + 0.181668i
\(401\) 12.3578 31.4871i 0.617118 1.57239i −0.189862 0.981811i \(-0.560804\pi\)
0.806979 0.590580i \(-0.201101\pi\)
\(402\) −26.5940 + 8.20317i −1.32639 + 0.409137i
\(403\) −3.67738 1.77093i −0.183183 0.0882164i
\(404\) −1.11601 14.8921i −0.0555234 0.740908i
\(405\) −3.82958 0.577216i −0.190293 0.0286821i
\(406\) −8.95233 8.30655i −0.444297 0.412247i
\(407\) −13.9916 4.31583i −0.693536 0.213928i
\(408\) −21.9514 + 27.5262i −1.08676 + 1.36275i
\(409\) −15.9968 + 20.0594i −0.790992 + 0.991873i 0.208911 + 0.977935i \(0.433008\pi\)
−0.999903 + 0.0139379i \(0.995563\pi\)
\(410\) −5.38091 1.65979i −0.265744 0.0819712i
\(411\) 14.9611 + 13.8818i 0.737975 + 0.684740i
\(412\) −0.513944 0.0774646i −0.0253202 0.00381641i
\(413\) 1.66121 + 22.1673i 0.0817428 + 1.09078i
\(414\) −1.23425 0.594386i −0.0606603 0.0292125i
\(415\) 1.63146 0.503237i 0.0800850 0.0247029i
\(416\) 7.97729 20.3258i 0.391119 0.996555i
\(417\) 26.8314 + 18.2934i 1.31394 + 0.895830i
\(418\) 23.3008 3.51202i 1.13968 0.171779i
\(419\) 5.52572 + 24.2097i 0.269949 + 1.18272i 0.910072 + 0.414451i \(0.136026\pi\)
−0.640123 + 0.768273i \(0.721117\pi\)
\(420\) 3.13121 2.13482i 0.152788 0.104169i
\(421\) −14.1439 + 13.1236i −0.689330 + 0.639605i −0.944966 0.327168i \(-0.893906\pi\)
0.255636 + 0.966773i \(0.417715\pi\)
\(422\) −14.4019 + 6.93560i −0.701074 + 0.337620i
\(423\) −5.88421 10.1918i −0.286100 0.495540i
\(424\) −7.25271 + 12.5621i −0.352223 + 0.610068i
\(425\) 1.62947 21.7437i 0.0790408 1.05473i
\(426\) 0.527867 2.31274i 0.0255752 0.112052i
\(427\) 6.33868 + 16.1507i 0.306750 + 0.781587i
\(428\) 9.16012 + 11.4864i 0.442771 + 0.555217i
\(429\) 44.0418 2.12636
\(430\) 3.27082 1.01337i 0.157733 0.0488692i
\(431\) 32.4273 1.56197 0.780983 0.624552i \(-0.214718\pi\)
0.780983 + 0.624552i \(0.214718\pi\)
\(432\) −0.793201 0.994643i −0.0381629 0.0478548i
\(433\) −6.27055 15.9771i −0.301343 0.767810i −0.998695 0.0510807i \(-0.983733\pi\)
0.697351 0.716730i \(-0.254362\pi\)
\(434\) −0.669458 + 2.93309i −0.0321350 + 0.140793i
\(435\) 0.333270 4.44718i 0.0159791 0.213226i
\(436\) −2.96477 + 5.13513i −0.141987 + 0.245928i
\(437\) −1.17820 2.04071i −0.0563611 0.0976204i
\(438\) −2.29653 + 1.10595i −0.109732 + 0.0528444i
\(439\) −10.5781 + 9.81508i −0.504867 + 0.468448i −0.891005 0.453993i \(-0.849999\pi\)
0.386138 + 0.922441i \(0.373809\pi\)
\(440\) 4.67151 3.18498i 0.222706 0.151838i
\(441\) −2.95124 12.9302i −0.140535 0.615725i
\(442\) 22.2266 3.35012i 1.05721 0.159349i
\(443\) 15.7039 + 10.7067i 0.746114 + 0.508692i 0.875688 0.482878i \(-0.160409\pi\)
−0.129574 + 0.991570i \(0.541361\pi\)
\(444\) −3.29494 + 8.39536i −0.156371 + 0.398426i
\(445\) 0.879101 0.271167i 0.0416734 0.0128545i
\(446\) 11.0290 + 5.31129i 0.522239 + 0.251497i
\(447\) −1.40341 18.7272i −0.0663788 0.885764i
\(448\) −24.7944 3.73715i −1.17142 0.176564i
\(449\) −3.90802 3.62611i −0.184431 0.171127i 0.582554 0.812792i \(-0.302053\pi\)
−0.766985 + 0.641665i \(0.778244\pi\)
\(450\) 15.9875 + 4.93149i 0.753658 + 0.232473i
\(451\) 25.0300 31.3866i 1.17862 1.47794i
\(452\) 0.963202 1.20782i 0.0453052 0.0568109i
\(453\) −11.5187 3.55304i −0.541194 0.166936i
\(454\) 6.92330 + 6.42388i 0.324927 + 0.301488i
\(455\) −7.65964 1.15451i −0.359089 0.0541240i
\(456\) −3.47257 46.3382i −0.162618 2.16998i
\(457\) −7.16485 3.45041i −0.335157 0.161403i 0.258734 0.965949i \(-0.416695\pi\)
−0.593891 + 0.804545i \(0.702409\pi\)
\(458\) 15.5722 4.80338i 0.727640 0.224447i
\(459\) −1.57126 + 4.00351i −0.0733402 + 0.186868i
\(460\) −0.145915 0.0994830i −0.00680331 0.00463842i
\(461\) −42.1232 + 6.34904i −1.96187 + 0.295704i −0.962139 + 0.272559i \(0.912130\pi\)
−0.999732 + 0.0231454i \(0.992632\pi\)
\(462\) −7.22371 31.6491i −0.336077 1.47245i
\(463\) −4.70372 + 3.20694i −0.218600 + 0.149039i −0.667670 0.744458i \(-0.732708\pi\)
0.449069 + 0.893497i \(0.351756\pi\)
\(464\) −3.51856 + 3.26475i −0.163345 + 0.151562i
\(465\) −0.989833 + 0.476678i −0.0459024 + 0.0221054i
\(466\) −2.45374 4.25001i −0.113667 0.196878i
\(467\) 3.69374 6.39775i 0.170926 0.296053i −0.767818 0.640668i \(-0.778657\pi\)
0.938744 + 0.344616i \(0.111991\pi\)
\(468\) 1.07268 14.3139i 0.0495846 0.661661i
\(469\) −7.76517 + 34.0214i −0.358562 + 1.57096i
\(470\) 0.665977 + 1.69688i 0.0307192 + 0.0782713i
\(471\) 21.1530 + 26.5250i 0.974677 + 1.22221i
\(472\) 20.4277 0.940263
\(473\) −1.79400 + 24.3457i −0.0824883 + 1.11942i
\(474\) 2.64232 0.121366
\(475\) 17.9433 + 22.5001i 0.823294 + 1.03238i
\(476\) 5.03768 + 12.8358i 0.230901 + 0.588327i
\(477\) −3.58098 + 15.6893i −0.163962 + 0.718363i
\(478\) 0.321257 4.28687i 0.0146939 0.196077i
\(479\) −10.3541 + 17.9337i −0.473089 + 0.819414i −0.999526 0.0308006i \(-0.990194\pi\)
0.526437 + 0.850214i \(0.323528\pi\)
\(480\) −2.93867 5.08993i −0.134131 0.232322i
\(481\) 16.6088 7.99837i 0.757295 0.364694i
\(482\) 2.50008 2.31974i 0.113876 0.105661i
\(483\) −2.68224 + 1.82872i −0.122046 + 0.0832096i
\(484\) 0.577929 + 2.53207i 0.0262695 + 0.115094i
\(485\) 0.474751 0.0715573i 0.0215574 0.00324925i
\(486\) 19.3099 + 13.1653i 0.875915 + 0.597189i
\(487\) 13.0064 33.1397i 0.589376 1.50170i −0.255537 0.966799i \(-0.582252\pi\)
0.844912 0.534905i \(-0.179653\pi\)
\(488\) 15.2354 4.69951i 0.689676 0.212737i
\(489\) −42.5933 20.5119i −1.92614 0.927579i
\(490\) 0.153522 + 2.04861i 0.00693542 + 0.0925468i
\(491\) −0.658494 0.0992520i −0.0297174 0.00447918i 0.134167 0.990959i \(-0.457164\pi\)
−0.163884 + 0.986480i \(0.552402\pi\)
\(492\) −18.1264 16.8188i −0.817201 0.758252i
\(493\) 15.5056 + 4.78286i 0.698339 + 0.215409i
\(494\) −18.4971 + 23.1946i −0.832222 + 1.04357i
\(495\) 3.91094 4.90417i 0.175784 0.220426i
\(496\) 1.12991 + 0.348532i 0.0507346 + 0.0156495i
\(497\) −2.18046 2.02317i −0.0978070 0.0907517i
\(498\) −8.90763 1.34261i −0.399160 0.0601637i
\(499\) −0.537738 7.17561i −0.0240724 0.321224i −0.996221 0.0868578i \(-0.972317\pi\)
0.972148 0.234367i \(-0.0753016\pi\)
\(500\) 3.98866 + 1.92084i 0.178378 + 0.0859025i
\(501\) −33.4186 + 10.3083i −1.49303 + 0.460539i
\(502\) −2.08885 + 5.32230i −0.0932299 + 0.237546i
\(503\) −34.3276 23.4041i −1.53059 1.04354i −0.977630 0.210331i \(-0.932546\pi\)
−0.552960 0.833208i \(-0.686502\pi\)
\(504\) −33.4951 + 5.04858i −1.49199 + 0.224881i
\(505\) 1.82829 + 8.01027i 0.0813579 + 0.356452i
\(506\) −1.24992 + 0.852180i −0.0555657 + 0.0378840i
\(507\) −16.5927 + 15.3958i −0.736907 + 0.683750i
\(508\) 12.8467 6.18666i 0.569982 0.274489i
\(509\) 15.3793 + 26.6378i 0.681677 + 1.18070i 0.974469 + 0.224523i \(0.0720824\pi\)
−0.292792 + 0.956176i \(0.594584\pi\)
\(510\) 3.02514 5.23969i 0.133955 0.232017i
\(511\) −0.238846 + 3.18718i −0.0105659 + 0.140992i
\(512\) −3.24384 + 14.2122i −0.143359 + 0.628096i
\(513\) −2.07382 5.28400i −0.0915612 0.233294i
\(514\) 5.48466 + 6.87754i 0.241918 + 0.303355i
\(515\) 0.285955 0.0126007
\(516\) 14.8713 + 2.22256i 0.654671 + 0.0978429i
\(517\) −12.9957 −0.571550
\(518\) −8.47191 10.6234i −0.372234 0.466767i
\(519\) −12.7909 32.5907i −0.561459 1.43057i
\(520\) −1.58398 + 6.93985i −0.0694619 + 0.304333i
\(521\) −1.14354 + 15.2594i −0.0500992 + 0.668528i 0.914463 + 0.404671i \(0.132614\pi\)
−0.964562 + 0.263857i \(0.915005\pi\)
\(522\) −6.22533 + 10.7826i −0.272475 + 0.471941i
\(523\) −0.672029 1.16399i −0.0293858 0.0508977i 0.850959 0.525233i \(-0.176022\pi\)
−0.880344 + 0.474335i \(0.842688\pi\)
\(524\) −8.77921 + 4.22785i −0.383522 + 0.184694i
\(525\) 29.0635 26.9670i 1.26844 1.17694i
\(526\) −5.28296 + 3.60186i −0.230348 + 0.157049i
\(527\) −0.889504 3.89717i −0.0387474 0.169763i
\(528\) −12.6165 + 1.90164i −0.549065 + 0.0827582i
\(529\) −18.8785 12.8711i −0.820804 0.559615i
\(530\) 0.910691 2.32040i 0.0395579 0.100792i
\(531\) 21.6563 6.68008i 0.939803 0.289891i
\(532\) −16.3970 7.89637i −0.710899 0.342351i
\(533\) 3.77704 + 50.4011i 0.163602 + 2.18312i
\(534\) −4.79983 0.723457i −0.207709 0.0313071i
\(535\) −5.92529 5.49787i −0.256173 0.237693i
\(536\) 30.6433 + 9.45220i 1.32359 + 0.408273i
\(537\) 9.73276 12.2045i 0.419999 0.526663i
\(538\) −1.49467 + 1.87426i −0.0644398 + 0.0808050i
\(539\) −13.9952 4.31694i −0.602815 0.185944i
\(540\) −0.311853 0.289357i −0.0134200 0.0124519i
\(541\) 0.196272 + 0.0295833i 0.00843841 + 0.00127189i 0.153260 0.988186i \(-0.451023\pi\)
−0.144822 + 0.989458i \(0.546261\pi\)
\(542\) −2.13904 28.5436i −0.0918798 1.22605i
\(543\) −8.42065 4.05517i −0.361364 0.174024i
\(544\) 20.4348 6.30329i 0.876133 0.270251i
\(545\) 1.19185 3.03679i 0.0510533 0.130082i
\(546\) 33.7692 + 23.0234i 1.44519 + 0.985312i
\(547\) −7.85074 + 1.18331i −0.335673 + 0.0505946i −0.314716 0.949186i \(-0.601909\pi\)
−0.0209569 + 0.999780i \(0.506671\pi\)
\(548\) −1.63451 7.16127i −0.0698230 0.305914i
\(549\) 14.6149 9.96430i 0.623751 0.425266i
\(550\) 13.5436 12.5666i 0.577499 0.535841i
\(551\) −19.2956 + 9.29226i −0.822019 + 0.395864i
\(552\) 1.49160 + 2.58353i 0.0634868 + 0.109962i
\(553\) 1.65659 2.86930i 0.0704454 0.122015i
\(554\) 2.07671 27.7118i 0.0882310 1.17736i
\(555\) 1.10414 4.83754i 0.0468680 0.205342i
\(556\) −4.26999 10.8798i −0.181088 0.461405i
\(557\) −10.9192 13.6922i −0.462659 0.580157i 0.494697 0.869065i \(-0.335279\pi\)
−0.957357 + 0.288909i \(0.906708\pi\)
\(558\) 3.06721 0.129845
\(559\) −19.1925 24.0053i −0.811755 1.01531i
\(560\) 2.24408 0.0948299
\(561\) 26.8933 + 33.7231i 1.13543 + 1.42379i
\(562\) −6.36549 16.2190i −0.268512 0.684158i
\(563\) −5.52035 + 24.1862i −0.232655 + 1.01933i 0.714773 + 0.699357i \(0.246530\pi\)
−0.947427 + 0.319971i \(0.896327\pi\)
\(564\) −0.598193 + 7.98233i −0.0251885 + 0.336117i
\(565\) −0.424973 + 0.736075i −0.0178788 + 0.0309669i
\(566\) 8.93679 + 15.4790i 0.375641 + 0.650630i
\(567\) 23.0849 11.1171i 0.969473 0.466874i
\(568\) −2.00373 + 1.85919i −0.0840747 + 0.0780099i
\(569\) −23.8352 + 16.2505i −0.999222 + 0.681258i −0.948277 0.317443i \(-0.897176\pi\)
−0.0509448 + 0.998701i \(0.516223\pi\)
\(570\) 1.77692 + 7.78520i 0.0744270 + 0.326086i
\(571\) −32.2418 + 4.85967i −1.34928 + 0.203371i −0.783605 0.621259i \(-0.786621\pi\)
−0.565672 + 0.824630i \(0.691383\pi\)
\(572\) −13.0967 8.92916i −0.547600 0.373347i
\(573\) 10.5269 26.8221i 0.439768 1.12051i
\(574\) 35.5995 10.9810i 1.48590 0.458338i
\(575\) −1.66460 0.801630i −0.0694187 0.0334303i
\(576\) 1.91037 + 25.4921i 0.0795988 + 1.06217i
\(577\) 33.2474 + 5.01124i 1.38411 + 0.208621i 0.798510 0.601982i \(-0.205622\pi\)
0.585597 + 0.810602i \(0.300860\pi\)
\(578\) 3.11760 + 2.89271i 0.129675 + 0.120321i
\(579\) −20.3806 6.28657i −0.846987 0.261261i
\(580\) −1.00074 + 1.25489i −0.0415534 + 0.0521063i
\(581\) −7.04254 + 8.83106i −0.292174 + 0.366374i
\(582\) −2.42068 0.746680i −0.100340 0.0309509i
\(583\) 13.0271 + 12.0873i 0.539526 + 0.500607i
\(584\) 2.90426 + 0.437747i 0.120179 + 0.0181141i
\(585\) 0.590165 + 7.87520i 0.0244003 + 0.325600i
\(586\) −28.1566 13.5595i −1.16314 0.560137i
\(587\) 15.4987 4.78070i 0.639698 0.197321i 0.0420960 0.999114i \(-0.486596\pi\)
0.597602 + 0.801793i \(0.296120\pi\)
\(588\) −3.29579 + 8.39753i −0.135916 + 0.346308i
\(589\) 4.35918 + 2.97204i 0.179617 + 0.122461i
\(590\) −3.47124 + 0.523205i −0.142909 + 0.0215400i
\(591\) 12.1685 + 53.3138i 0.500546 + 2.19303i
\(592\) −4.41252 + 3.00840i −0.181353 + 0.123645i
\(593\) 32.4141 30.0759i 1.33109 1.23507i 0.380438 0.924807i \(-0.375773\pi\)
0.950651 0.310263i \(-0.100417\pi\)
\(594\) −3.28328 + 1.58114i −0.134714 + 0.0648751i
\(595\) −3.79319 6.57000i −0.155506 0.269344i
\(596\) −3.37946 + 5.85340i −0.138428 + 0.239765i
\(597\) −1.86336 + 24.8648i −0.0762622 + 1.01765i
\(598\) 0.423811 1.85684i 0.0173309 0.0759318i
\(599\) 1.51367 + 3.85676i 0.0618468 + 0.157583i 0.958457 0.285238i \(-0.0920728\pi\)
−0.896610 + 0.442821i \(0.853978\pi\)
\(600\) −22.7161 28.4851i −0.927382 1.16290i
\(601\) 19.9921 0.815496 0.407748 0.913094i \(-0.366314\pi\)
0.407748 + 0.913094i \(0.366314\pi\)
\(602\) −14.1026 + 17.7293i −0.574779 + 0.722593i
\(603\) 35.5772 1.44881
\(604\) 2.70494 + 3.39189i 0.110062 + 0.138014i
\(605\) −0.522042 1.33014i −0.0212240 0.0540779i
\(606\) 9.64660 42.2645i 0.391866 1.71688i
\(607\) −1.35174 + 18.0378i −0.0548656 + 0.732130i 0.900151 + 0.435578i \(0.143456\pi\)
−0.955017 + 0.296552i \(0.904163\pi\)
\(608\) −14.1123 + 24.4432i −0.572329 + 0.991304i
\(609\) 14.7523 + 25.5517i 0.597793 + 1.03541i
\(610\) −2.46856 + 1.18880i −0.0999490 + 0.0481329i
\(611\) 11.9939 11.1287i 0.485221 0.450219i
\(612\) 11.6153 7.91915i 0.469519 0.320112i
\(613\) −8.34759 36.5732i −0.337156 1.47718i −0.804952 0.593340i \(-0.797809\pi\)
0.467796 0.883836i \(-0.345048\pi\)
\(614\) −13.8880 + 2.09327i −0.560473 + 0.0844777i
\(615\) 11.2405 + 7.66365i 0.453261 + 0.309028i
\(616\) −13.6659 + 34.8202i −0.550616 + 1.40295i
\(617\) −8.65578 + 2.66996i −0.348469 + 0.107488i −0.464048 0.885810i \(-0.653604\pi\)
0.115580 + 0.993298i \(0.463127\pi\)
\(618\) −1.35936 0.654635i −0.0546816 0.0263333i
\(619\) 0.370823 + 4.94829i 0.0149046 + 0.198889i 0.999685 + 0.0250867i \(0.00798620\pi\)
−0.984781 + 0.173802i \(0.944395\pi\)
\(620\) 0.390989 + 0.0589321i 0.0157025 + 0.00236677i
\(621\) 0.267137 + 0.247867i 0.0107199 + 0.00994657i
\(622\) −15.1651 4.67780i −0.608063 0.187563i
\(623\) −3.79483 + 4.75857i −0.152037 + 0.190648i
\(624\) 10.0155 12.5591i 0.400941 0.502765i
\(625\) 20.3683 + 6.28279i 0.814732 + 0.251311i
\(626\) 8.72481 + 8.09544i 0.348714 + 0.323559i
\(627\) −56.2935 8.48488i −2.24815 0.338854i
\(628\) −0.912488 12.1763i −0.0364122 0.485888i
\(629\) 16.2662 + 7.83340i 0.648576 + 0.312338i
\(630\) 5.56244 1.71579i 0.221613 0.0683586i
\(631\) 12.7382 32.4564i 0.507100 1.29207i −0.416647 0.909068i \(-0.636795\pi\)
0.923748 0.383002i \(-0.125110\pi\)
\(632\) −2.51560 1.71511i −0.100065 0.0682233i
\(633\) 38.1875 5.75583i 1.51782 0.228774i
\(634\) −5.30506 23.2430i −0.210691 0.923096i
\(635\) −6.48174 + 4.41918i −0.257220 + 0.175370i
\(636\) 8.02403 7.44521i 0.318173 0.295222i
\(637\) 16.6131 8.00043i 0.658234 0.316989i
\(638\) 6.87454 + 11.9071i 0.272166 + 0.471405i
\(639\) −1.51626 + 2.62625i −0.0599825 + 0.103893i
\(640\) −0.0521034 + 0.695271i −0.00205957 + 0.0274830i
\(641\) 9.77409 42.8231i 0.386053 1.69141i −0.292017 0.956413i \(-0.594326\pi\)
0.678070 0.734997i \(-0.262816\pi\)
\(642\) 15.5812 + 39.7004i 0.614943 + 1.56685i
\(643\) 14.3909 + 18.0457i 0.567523 + 0.711651i 0.979929 0.199349i \(-0.0638828\pi\)
−0.412406 + 0.911000i \(0.635311\pi\)
\(644\) 1.16837 0.0460404
\(645\) −8.27271 + 0.0102932i −0.325738 + 0.000405295i
\(646\) −29.0551 −1.14316
\(647\) −27.5277 34.5186i −1.08222 1.35707i −0.929511 0.368796i \(-0.879770\pi\)
−0.152714 0.988270i \(-0.548801\pi\)
\(648\) −8.60215 21.9179i −0.337924 0.861017i
\(649\) 5.56894 24.3991i 0.218600 0.957749i
\(650\) −1.73828 + 23.1957i −0.0681808 + 0.909810i
\(651\) 3.63422 6.29465i 0.142436 0.246707i
\(652\) 8.50730 + 14.7351i 0.333172 + 0.577070i
\(653\) −5.99963 + 2.88927i −0.234783 + 0.113066i −0.547577 0.836755i \(-0.684450\pi\)
0.312793 + 0.949821i \(0.398735\pi\)
\(654\) −12.6179 + 11.7077i −0.493399 + 0.457807i
\(655\) 4.42950 3.01998i 0.173075 0.118000i
\(656\) −3.25822 14.2752i −0.127212 0.557352i
\(657\) 3.22207 0.485650i 0.125705 0.0189470i
\(658\) −9.96448 6.79367i −0.388456 0.264845i
\(659\) −3.46012 + 8.81623i −0.134787 + 0.343432i −0.982292 0.187355i \(-0.940008\pi\)
0.847505 + 0.530787i \(0.178104\pi\)
\(660\) −4.07702 + 1.25760i −0.158698 + 0.0489518i
\(661\) −15.1724 7.30666i −0.590140 0.284196i 0.114885 0.993379i \(-0.463350\pi\)
−0.705025 + 0.709183i \(0.749064\pi\)
\(662\) −1.21414 16.2016i −0.0471889 0.629692i
\(663\) −53.6984 8.09374i −2.08547 0.314335i
\(664\) 7.60897 + 7.06009i 0.295285 + 0.273985i
\(665\) 9.56800 + 2.95134i 0.371031 + 0.114448i
\(666\) −8.63720 + 10.8307i −0.334685 + 0.419681i
\(667\) 0.857246 1.07495i 0.0331927 0.0416223i
\(668\) 12.0276 + 3.71002i 0.465361 + 0.143545i
\(669\) −21.6795 20.1157i −0.838179 0.777717i
\(670\) −5.44924 0.821340i −0.210522 0.0317311i
\(671\) −1.45972 19.4786i −0.0563517 0.751961i
\(672\) 35.0332 + 16.8711i 1.35143 + 0.650816i
\(673\) 17.2152 5.31018i 0.663597 0.204692i 0.0553823 0.998465i \(-0.482362\pi\)
0.608214 + 0.793773i \(0.291886\pi\)
\(674\) −5.68882 + 14.4949i −0.219125 + 0.558322i
\(675\) −3.67729 2.50713i −0.141539 0.0964995i
\(676\) 8.05553 1.21418i 0.309828 0.0466990i
\(677\) −1.20314 5.27130i −0.0462404 0.202592i 0.946531 0.322613i \(-0.104561\pi\)
−0.992771 + 0.120020i \(0.961704\pi\)
\(678\) 3.70532 2.52624i 0.142302 0.0970198i
\(679\) −2.32845 + 2.16049i −0.0893578 + 0.0829120i
\(680\) −6.28110 + 3.02482i −0.240869 + 0.115997i
\(681\) −11.4087 19.7605i −0.437183 0.757223i
\(682\) 1.69354 2.93329i 0.0648489 0.112322i
\(683\) −2.75414 + 36.7514i −0.105384 + 1.40626i 0.654434 + 0.756119i \(0.272907\pi\)
−0.759818 + 0.650136i \(0.774712\pi\)
\(684\) −4.12873 + 18.0891i −0.157866 + 0.691655i
\(685\) 1.47645 + 3.76194i 0.0564123 + 0.143736i
\(686\) 6.60383 + 8.28095i 0.252136 + 0.316168i
\(687\) −39.3708 −1.50209
\(688\) 6.53451 + 6.04802i 0.249126 + 0.230579i
\(689\) −22.3737 −0.852369
\(690\) −0.319635 0.400810i −0.0121683 0.0152586i
\(691\) 3.64459 + 9.28626i 0.138647 + 0.353266i 0.983285 0.182071i \(-0.0582800\pi\)
−0.844639 + 0.535337i \(0.820185\pi\)
\(692\) −2.80391 + 12.2847i −0.106589 + 0.466995i
\(693\) −3.10125 + 41.3833i −0.117807 + 1.57202i
\(694\) 14.1912 24.5799i 0.538691 0.933041i
\(695\) 3.21515 + 5.56881i 0.121958 + 0.211237i
\(696\) 24.4281 11.7640i 0.925946 0.445912i
\(697\) −36.2861 + 33.6685i −1.37443 + 1.27529i
\(698\) −24.4775 + 16.6884i −0.926485 + 0.631667i
\(699\) 2.63826 + 11.5590i 0.0997883 + 0.437201i
\(700\) −14.1100 + 2.12673i −0.533306 + 0.0803830i
\(701\) 9.62158 + 6.55988i 0.363402 + 0.247763i 0.731231 0.682130i \(-0.238946\pi\)
−0.367829 + 0.929894i \(0.619899\pi\)
\(702\) 1.67618 4.27085i 0.0632635 0.161193i
\(703\) −22.7700 + 7.02361i −0.858786 + 0.264900i
\(704\) 25.4339 + 12.2483i 0.958576 + 0.461626i
\(705\) −0.329113 4.39170i −0.0123951 0.165401i
\(706\) −20.3762 3.07122i −0.766869 0.115587i
\(707\) −39.8472 36.9728i −1.49861 1.39051i
\(708\) −14.7303 4.54369i −0.553598 0.170762i
\(709\) 10.4090 13.0524i 0.390916 0.490194i −0.546962 0.837157i \(-0.684216\pi\)
0.937879 + 0.346964i \(0.112787\pi\)
\(710\) 0.292871 0.367249i 0.0109913 0.0137826i
\(711\) −3.22775 0.995630i −0.121050 0.0373390i
\(712\) 4.10005 + 3.80429i 0.153656 + 0.142572i
\(713\) −0.334926 0.0504820i −0.0125431 0.00189057i
\(714\) 2.99129 + 39.9161i 0.111946 + 1.49382i
\(715\) 7.85722 + 3.78384i 0.293843 + 0.141507i
\(716\) −5.36859 + 1.65599i −0.200634 + 0.0618873i
\(717\) −3.79440 + 9.66798i −0.141705 + 0.361057i
\(718\) 24.3243 + 16.5840i 0.907774 + 0.618910i
\(719\) 31.8762 4.80456i 1.18878 0.179180i 0.475280 0.879834i \(-0.342347\pi\)
0.713501 + 0.700654i \(0.247109\pi\)
\(720\) −0.509098 2.23050i −0.0189730 0.0831260i
\(721\) −1.56312 + 1.06571i −0.0582135 + 0.0396893i
\(722\) 13.5596 12.5815i 0.504636 0.468233i
\(723\) −7.42365 + 3.57504i −0.276089 + 0.132957i
\(724\) 1.68188 + 2.91311i 0.0625067 + 0.108265i
\(725\) −8.39591 + 14.5421i −0.311816 + 0.540082i
\(726\) −0.563418 + 7.51829i −0.0209104 + 0.279030i
\(727\) −4.68039 + 20.5061i −0.173586 + 0.760529i 0.810917 + 0.585161i \(0.198969\pi\)
−0.984503 + 0.175368i \(0.943888\pi\)
\(728\) −17.2054 43.8386i −0.637674 1.62477i
\(729\) −20.7105 25.9701i −0.767054 0.961855i
\(730\) −0.504726 −0.0186807
\(731\) 6.66147 29.3541i 0.246383 1.08570i
\(732\) −12.0315 −0.444696
\(733\) 2.81862 + 3.53443i 0.104108 + 0.130547i 0.831156 0.556039i \(-0.187680\pi\)
−0.727048 + 0.686587i \(0.759108\pi\)
\(734\) 11.2751 + 28.7286i 0.416173 + 1.06039i
\(735\) 1.10442 4.83879i 0.0407372 0.178481i
\(736\) 0.135410 1.80692i 0.00499129 0.0666041i
\(737\) 19.6437 34.0238i 0.723584 1.25328i
\(738\) −18.9907 32.8929i −0.699059 1.21081i
\(739\) 6.30660 3.03710i 0.231992 0.111722i −0.314277 0.949331i \(-0.601762\pi\)
0.546269 + 0.837610i \(0.316048\pi\)
\(740\) −1.30911 + 1.21468i −0.0481239 + 0.0446525i
\(741\) 59.2199 40.3754i 2.17550 1.48323i
\(742\) 3.66971 + 16.0781i 0.134719 + 0.590244i
\(743\) 22.7632 3.43099i 0.835099 0.125871i 0.282447 0.959283i \(-0.408854\pi\)
0.552652 + 0.833412i \(0.313616\pi\)
\(744\) −5.51871 3.76259i −0.202326 0.137943i
\(745\) 1.35856 3.46156i 0.0497739 0.126822i
\(746\) 32.0949 9.89996i 1.17508 0.362463i
\(747\) 10.3753 + 4.99649i 0.379613 + 0.182812i
\(748\) −1.16011 15.4806i −0.0424179 0.566027i
\(749\) 52.8793 + 7.97027i 1.93217 + 0.291227i
\(750\) 9.42072 + 8.74115i 0.343996 + 0.319182i
\(751\) 13.6946 + 4.22423i 0.499723 + 0.154144i 0.534362 0.845256i \(-0.320552\pi\)
−0.0346389 + 0.999400i \(0.511028\pi\)
\(752\) −2.95534 + 3.70588i −0.107770 + 0.135139i
\(753\) 8.61244 10.7997i 0.313855 0.393561i
\(754\) −16.5410 5.10224i −0.602389 0.185813i
\(755\) −1.74971 1.62349i −0.0636785 0.0590850i
\(756\) 2.78308 + 0.419482i 0.101220 + 0.0152564i
\(757\) 2.72389 + 36.3478i 0.0990014 + 1.32108i 0.796562 + 0.604556i \(0.206650\pi\)
−0.697561 + 0.716526i \(0.745731\pi\)
\(758\) −16.9699 8.17225i −0.616373 0.296829i
\(759\) 3.49243 1.07727i 0.126767 0.0391025i
\(760\) 3.36161 8.56523i 0.121938 0.310694i
\(761\) −36.7441 25.0517i −1.33197 0.908124i −0.332585 0.943073i \(-0.607921\pi\)
−0.999389 + 0.0349488i \(0.988873\pi\)
\(762\) 40.9296 6.16914i 1.48272 0.223484i
\(763\) 4.80268 + 21.0419i 0.173869 + 0.761768i
\(764\) −8.56836 + 5.84181i −0.309993 + 0.211349i
\(765\) −5.66971 + 5.26073i −0.204989 + 0.190202i
\(766\) −21.6170 + 10.4102i −0.781054 + 0.376136i
\(767\) 15.7542 + 27.2871i 0.568852 + 0.985281i
\(768\) 20.9797 36.3379i 0.757039 1.31123i
\(769\) 0.188022 2.50898i 0.00678024 0.0904761i −0.992787 0.119891i \(-0.961745\pi\)
0.999567 + 0.0294151i \(0.00936447\pi\)
\(770\) 1.43039 6.26694i 0.0515476 0.225845i
\(771\) −7.76438 19.7833i −0.279627 0.712479i