Properties

Label 300.2.w.a.103.18
Level $300$
Weight $2$
Character 300.103
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 103.18
Character \(\chi\) \(=\) 300.103
Dual form 300.2.w.a.67.18

$q$-expansion

\(f(q)\) \(=\) \(q+(0.300359 - 1.38195i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(-1.81957 - 0.830163i) q^{4} +(2.22495 + 0.222669i) q^{5} +(-0.0804769 + 1.41192i) q^{6} +(3.70249 + 3.70249i) q^{7} +(-1.69377 + 2.26520i) q^{8} +(0.951057 - 0.309017i) q^{9} +O(q^{10})\) \(q+(0.300359 - 1.38195i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(-1.81957 - 0.830163i) q^{4} +(2.22495 + 0.222669i) q^{5} +(-0.0804769 + 1.41192i) q^{6} +(3.70249 + 3.70249i) q^{7} +(-1.69377 + 2.26520i) q^{8} +(0.951057 - 0.309017i) q^{9} +(0.976003 - 3.00789i) q^{10} +(-0.352091 - 0.114401i) q^{11} +(1.92703 + 0.535299i) q^{12} +(2.36428 - 4.64017i) q^{13} +(6.22874 - 4.00458i) q^{14} +(-2.23239 + 0.128132i) q^{15} +(2.62166 + 3.02108i) q^{16} +(-0.155364 + 0.980930i) q^{17} +(-0.141387 - 1.40713i) q^{18} +(-2.30977 + 1.67815i) q^{19} +(-3.86360 - 2.25224i) q^{20} +(-4.23611 - 3.07771i) q^{21} +(-0.263851 + 0.452211i) q^{22} +(-3.21049 - 6.30095i) q^{23} +(1.31856 - 2.50228i) q^{24} +(4.90084 + 0.990856i) q^{25} +(-5.70234 - 4.66104i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(-3.66327 - 9.81061i) q^{28} +(0.959703 - 1.32092i) q^{29} +(-0.493449 + 3.12354i) q^{30} +(3.91704 + 5.39135i) q^{31} +(4.96242 - 2.71559i) q^{32} +(0.365653 + 0.0579137i) q^{33} +(1.30893 + 0.509337i) q^{34} +(7.41344 + 9.06230i) q^{35} +(-1.98705 - 0.227254i) q^{36} +(-3.78075 - 1.92639i) q^{37} +(1.62535 + 3.69603i) q^{38} +(-1.60929 + 4.95290i) q^{39} +(-4.27295 + 4.66283i) q^{40} +(0.959013 + 2.95154i) q^{41} +(-5.52560 + 4.92967i) q^{42} +(0.302937 - 0.302937i) q^{43} +(0.545682 + 0.500454i) q^{44} +(2.18487 - 0.475778i) q^{45} +(-9.67190 + 2.54419i) q^{46} +(-0.817946 - 5.16431i) q^{47} +(-3.06198 - 2.57376i) q^{48} +20.4169i q^{49} +(2.84133 - 6.47510i) q^{50} -0.993157i q^{51} +(-8.15407 + 6.48036i) q^{52} +(-0.685412 - 4.32752i) q^{53} +(0.359770 + 1.36769i) q^{54} +(-0.757913 - 0.332938i) q^{55} +(-14.6581 + 2.11574i) q^{56} +(2.01881 - 2.01881i) q^{57} +(-1.53719 - 1.72301i) q^{58} +(-1.32518 - 4.07849i) q^{59} +(4.16836 + 1.62011i) q^{60} +(-2.66600 + 8.20510i) q^{61} +(8.62709 - 3.79382i) q^{62} +(4.66541 + 2.37715i) q^{63} +(-2.26230 - 7.67346i) q^{64} +(6.29364 - 9.79771i) q^{65} +(0.189861 - 0.487919i) q^{66} +(-4.13082 - 0.654258i) q^{67} +(1.09703 - 1.65589i) q^{68} +(4.15665 + 5.72114i) q^{69} +(14.7503 - 7.52306i) q^{70} +(-3.73936 + 5.14679i) q^{71} +(-0.910882 + 2.67774i) q^{72} +(-12.0226 + 6.12582i) q^{73} +(-3.79776 + 4.64620i) q^{74} +(-4.99550 - 0.211997i) q^{75} +(5.59592 - 1.13602i) q^{76} +(-0.880045 - 1.72719i) q^{77} +(6.36129 + 3.71161i) q^{78} +(-7.17475 - 5.21276i) q^{79} +(5.16037 + 7.30552i) q^{80} +(0.809017 - 0.587785i) q^{81} +(4.36692 - 0.438785i) q^{82} +(1.07499 - 6.78724i) q^{83} +(5.15288 + 9.11676i) q^{84} +(-0.564100 + 2.14793i) q^{85} +(-0.327653 - 0.509633i) q^{86} +(-0.741250 + 1.45479i) q^{87} +(0.855503 - 0.603789i) q^{88} +(-12.1162 - 3.93680i) q^{89} +(-0.00125607 - 3.16228i) q^{90} +(25.9339 - 8.42645i) q^{91} +(0.610899 + 14.1302i) q^{92} +(-4.71221 - 4.71221i) q^{93} +(-7.38249 - 0.420788i) q^{94} +(-5.51280 + 3.21948i) q^{95} +(-4.47651 + 3.45845i) q^{96} +(10.9115 - 1.72821i) q^{97} +(28.2151 + 6.13241i) q^{98} -0.370211 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.300359 1.38195i 0.212386 0.977186i
\(3\) −0.987688 + 0.156434i −0.570242 + 0.0903175i
\(4\) −1.81957 0.830163i −0.909784 0.415081i
\(5\) 2.22495 + 0.222669i 0.995030 + 0.0995806i
\(6\) −0.0804769 + 1.41192i −0.0328546 + 0.576415i
\(7\) 3.70249 + 3.70249i 1.39941 + 1.39941i 0.801747 + 0.597664i \(0.203904\pi\)
0.597664 + 0.801747i \(0.296096\pi\)
\(8\) −1.69377 + 2.26520i −0.598837 + 0.800871i
\(9\) 0.951057 0.309017i 0.317019 0.103006i
\(10\) 0.976003 3.00789i 0.308639 0.951179i
\(11\) −0.352091 0.114401i −0.106160 0.0344933i 0.255456 0.966821i \(-0.417775\pi\)
−0.361615 + 0.932327i \(0.617775\pi\)
\(12\) 1.92703 + 0.535299i 0.556286 + 0.154528i
\(13\) 2.36428 4.64017i 0.655734 1.28695i −0.288438 0.957499i \(-0.593136\pi\)
0.944172 0.329453i \(-0.106864\pi\)
\(14\) 6.22874 4.00458i 1.66470 1.07027i
\(15\) −2.23239 + 0.128132i −0.576402 + 0.0330835i
\(16\) 2.62166 + 3.02108i 0.655415 + 0.755269i
\(17\) −0.155364 + 0.980930i −0.0376813 + 0.237910i −0.999339 0.0363406i \(-0.988430\pi\)
0.961658 + 0.274251i \(0.0884299\pi\)
\(18\) −0.141387 1.40713i −0.0333253 0.331663i
\(19\) −2.30977 + 1.67815i −0.529897 + 0.384993i −0.820319 0.571906i \(-0.806204\pi\)
0.290422 + 0.956899i \(0.406204\pi\)
\(20\) −3.86360 2.25224i −0.863928 0.503615i
\(21\) −4.23611 3.07771i −0.924394 0.671612i
\(22\) −0.263851 + 0.452211i −0.0562532 + 0.0964117i
\(23\) −3.21049 6.30095i −0.669434 1.31384i −0.936672 0.350208i \(-0.886111\pi\)
0.267237 0.963631i \(-0.413889\pi\)
\(24\) 1.31856 2.50228i 0.269150 0.510776i
\(25\) 4.90084 + 0.990856i 0.980167 + 0.198171i
\(26\) −5.70234 4.66104i −1.11832 0.914105i
\(27\) −0.891007 + 0.453990i −0.171474 + 0.0873705i
\(28\) −3.66327 9.81061i −0.692292 1.85403i
\(29\) 0.959703 1.32092i 0.178212 0.245288i −0.710561 0.703636i \(-0.751559\pi\)
0.888773 + 0.458348i \(0.151559\pi\)
\(30\) −0.493449 + 3.12354i −0.0900910 + 0.570278i
\(31\) 3.91704 + 5.39135i 0.703522 + 0.968315i 0.999912 + 0.0132480i \(0.00421711\pi\)
−0.296390 + 0.955067i \(0.595783\pi\)
\(32\) 4.96242 2.71559i 0.877239 0.480053i
\(33\) 0.365653 + 0.0579137i 0.0636520 + 0.0100815i
\(34\) 1.30893 + 0.509337i 0.224480 + 0.0873505i
\(35\) 7.41344 + 9.06230i 1.25310 + 1.53181i
\(36\) −1.98705 0.227254i −0.331174 0.0378757i
\(37\) −3.78075 1.92639i −0.621552 0.316697i 0.114704 0.993400i \(-0.463408\pi\)
−0.736256 + 0.676703i \(0.763408\pi\)
\(38\) 1.62535 + 3.69603i 0.263667 + 0.599575i
\(39\) −1.60929 + 4.95290i −0.257693 + 0.793098i
\(40\) −4.27295 + 4.66283i −0.675612 + 0.737257i
\(41\) 0.959013 + 2.95154i 0.149773 + 0.460953i 0.997594 0.0693295i \(-0.0220860\pi\)
−0.847821 + 0.530282i \(0.822086\pi\)
\(42\) −5.52560 + 4.92967i −0.852618 + 0.760664i
\(43\) 0.302937 0.302937i 0.0461974 0.0461974i −0.683631 0.729828i \(-0.739600\pi\)
0.729828 + 0.683631i \(0.239600\pi\)
\(44\) 0.545682 + 0.500454i 0.0822647 + 0.0754463i
\(45\) 2.18487 0.475778i 0.325700 0.0709248i
\(46\) −9.67190 + 2.54419i −1.42604 + 0.375121i
\(47\) −0.817946 5.16431i −0.119310 0.753292i −0.972708 0.232032i \(-0.925462\pi\)
0.853398 0.521259i \(-0.174538\pi\)
\(48\) −3.06198 2.57376i −0.441959 0.371491i
\(49\) 20.4169i 2.91670i
\(50\) 2.84133 6.47510i 0.401824 0.915717i
\(51\) 0.993157i 0.139070i
\(52\) −8.15407 + 6.48036i −1.13077 + 0.898665i
\(53\) −0.685412 4.32752i −0.0941485 0.594431i −0.988983 0.148032i \(-0.952706\pi\)
0.894834 0.446399i \(-0.147294\pi\)
\(54\) 0.359770 + 1.36769i 0.0489585 + 0.186119i
\(55\) −0.757913 0.332938i −0.102197 0.0448933i
\(56\) −14.6581 + 2.11574i −1.95877 + 0.282728i
\(57\) 2.01881 2.01881i 0.267398 0.267398i
\(58\) −1.53719 1.72301i −0.201842 0.226242i
\(59\) −1.32518 4.07849i −0.172524 0.530974i 0.826988 0.562220i \(-0.190053\pi\)
−0.999512 + 0.0312458i \(0.990053\pi\)
\(60\) 4.16836 + 1.62011i 0.538133 + 0.209155i
\(61\) −2.66600 + 8.20510i −0.341346 + 1.05056i 0.622165 + 0.782886i \(0.286253\pi\)
−0.963511 + 0.267669i \(0.913747\pi\)
\(62\) 8.62709 3.79382i 1.09564 0.481815i
\(63\) 4.66541 + 2.37715i 0.587787 + 0.299492i
\(64\) −2.26230 7.67346i −0.282788 0.959183i
\(65\) 6.29364 9.79771i 0.780630 1.21526i
\(66\) 0.189861 0.487919i 0.0233703 0.0600586i
\(67\) −4.13082 0.654258i −0.504660 0.0799304i −0.101087 0.994878i \(-0.532232\pi\)
−0.403573 + 0.914947i \(0.632232\pi\)
\(68\) 1.09703 1.65589i 0.133034 0.200806i
\(69\) 4.15665 + 5.72114i 0.500402 + 0.688745i
\(70\) 14.7503 7.52306i 1.76300 0.899177i
\(71\) −3.73936 + 5.14679i −0.443780 + 0.610811i −0.971047 0.238889i \(-0.923217\pi\)
0.527267 + 0.849700i \(0.323217\pi\)
\(72\) −0.910882 + 2.67774i −0.107348 + 0.315575i
\(73\) −12.0226 + 6.12582i −1.40714 + 0.716973i −0.982128 0.188215i \(-0.939730\pi\)
−0.425011 + 0.905188i \(0.639730\pi\)
\(74\) −3.79776 + 4.64620i −0.441481 + 0.540110i
\(75\) −4.99550 0.211997i −0.576831 0.0244793i
\(76\) 5.59592 1.13602i 0.641896 0.130310i
\(77\) −0.880045 1.72719i −0.100290 0.196831i
\(78\) 6.36129 + 3.71161i 0.720274 + 0.420257i
\(79\) −7.17475 5.21276i −0.807222 0.586481i 0.105802 0.994387i \(-0.466259\pi\)
−0.913024 + 0.407906i \(0.866259\pi\)
\(80\) 5.16037 + 7.30552i 0.576947 + 0.816782i
\(81\) 0.809017 0.587785i 0.0898908 0.0653095i
\(82\) 4.36692 0.438785i 0.482246 0.0484557i
\(83\) 1.07499 6.78724i 0.117996 0.744997i −0.855755 0.517381i \(-0.826907\pi\)
0.973751 0.227616i \(-0.0730930\pi\)
\(84\) 5.15288 + 9.11676i 0.562226 + 0.994721i
\(85\) −0.564100 + 2.14793i −0.0611853 + 0.232976i
\(86\) −0.327653 0.509633i −0.0353318 0.0549552i
\(87\) −0.741250 + 1.45479i −0.0794704 + 0.155969i
\(88\) 0.855503 0.603789i 0.0911970 0.0643642i
\(89\) −12.1162 3.93680i −1.28432 0.417300i −0.414219 0.910177i \(-0.635945\pi\)
−0.870099 + 0.492877i \(0.835945\pi\)
\(90\) −0.00125607 3.16228i −0.000132401 0.333333i
\(91\) 25.9339 8.42645i 2.71862 0.883332i
\(92\) 0.610899 + 14.1302i 0.0636907 + 1.47318i
\(93\) −4.71221 4.71221i −0.488634 0.488634i
\(94\) −7.38249 0.420788i −0.761446 0.0434010i
\(95\) −5.51280 + 3.21948i −0.565601 + 0.330312i
\(96\) −4.47651 + 3.45845i −0.456882 + 0.352977i
\(97\) 10.9115 1.72821i 1.10789 0.175473i 0.424431 0.905460i \(-0.360474\pi\)
0.683461 + 0.729987i \(0.260474\pi\)
\(98\) 28.2151 + 6.13241i 2.85016 + 0.619467i
\(99\) −0.370211 −0.0372076
\(100\) −8.09484 5.87142i −0.809484 0.587142i
\(101\) −2.66285 −0.264964 −0.132482 0.991185i \(-0.542295\pi\)
−0.132482 + 0.991185i \(0.542295\pi\)
\(102\) −1.37249 0.298304i −0.135897 0.0295365i
\(103\) −3.88658 + 0.615574i −0.382956 + 0.0606543i −0.344945 0.938623i \(-0.612102\pi\)
−0.0380114 + 0.999277i \(0.512102\pi\)
\(104\) 6.50638 + 13.2150i 0.638003 + 1.29583i
\(105\) −8.73983 7.79101i −0.852920 0.760325i
\(106\) −6.18628 0.352607i −0.600865 0.0342482i
\(107\) −0.239138 0.239138i −0.0231184 0.0231184i 0.695453 0.718571i \(-0.255204\pi\)
−0.718571 + 0.695453i \(0.755204\pi\)
\(108\) 1.99813 0.0863862i 0.192270 0.00831252i
\(109\) 11.4281 3.71322i 1.09462 0.355662i 0.294588 0.955624i \(-0.404818\pi\)
0.800028 + 0.599962i \(0.204818\pi\)
\(110\) −0.687749 + 0.947397i −0.0655743 + 0.0903307i
\(111\) 4.03556 + 1.31123i 0.383038 + 0.124457i
\(112\) −1.47884 + 20.8922i −0.139737 + 1.97413i
\(113\) −6.18517 + 12.1391i −0.581851 + 1.14195i 0.393093 + 0.919499i \(0.371405\pi\)
−0.974944 + 0.222449i \(0.928595\pi\)
\(114\) −2.18353 3.39627i −0.204506 0.318089i
\(115\) −5.74018 14.7342i −0.535274 1.37397i
\(116\) −2.84282 + 1.60679i −0.263949 + 0.149187i
\(117\) 0.814677 5.14367i 0.0753169 0.475532i
\(118\) −6.03430 + 0.606321i −0.555502 + 0.0558164i
\(119\) −4.20712 + 3.05665i −0.385666 + 0.280203i
\(120\) 3.49091 5.27385i 0.318675 0.481435i
\(121\) −8.78831 6.38508i −0.798937 0.580462i
\(122\) 10.5383 + 6.14875i 0.954091 + 0.556682i
\(123\) −1.40893 2.76518i −0.127039 0.249328i
\(124\) −2.65163 13.0617i −0.238124 1.17298i
\(125\) 10.6835 + 3.29587i 0.955562 + 0.294792i
\(126\) 4.68640 5.73337i 0.417497 0.510769i
\(127\) 11.7063 5.96467i 1.03877 0.529279i 0.150503 0.988610i \(-0.451911\pi\)
0.888266 + 0.459330i \(0.151911\pi\)
\(128\) −11.2838 + 0.821591i −0.997360 + 0.0726191i
\(129\) −0.251817 + 0.346597i −0.0221713 + 0.0305161i
\(130\) −11.6496 11.6403i −1.02174 1.02092i
\(131\) −9.63540 13.2620i −0.841849 1.15871i −0.985600 0.169092i \(-0.945917\pi\)
0.143751 0.989614i \(-0.454083\pi\)
\(132\) −0.617252 0.408929i −0.0537249 0.0355927i
\(133\) −14.7652 2.33858i −1.28031 0.202781i
\(134\) −2.14488 + 5.51208i −0.185290 + 0.476171i
\(135\) −2.08354 + 0.811708i −0.179322 + 0.0698607i
\(136\) −1.95886 2.01340i −0.167971 0.172647i
\(137\) −9.20904 4.69224i −0.786782 0.400885i 0.0139543 0.999903i \(-0.495558\pi\)
−0.800736 + 0.599017i \(0.795558\pi\)
\(138\) 9.15482 4.02589i 0.779310 0.342706i
\(139\) 0.0731045 0.224993i 0.00620065 0.0190836i −0.947908 0.318543i \(-0.896806\pi\)
0.954109 + 0.299460i \(0.0968064\pi\)
\(140\) −5.96608 22.6438i −0.504226 1.91375i
\(141\) 1.61575 + 4.97277i 0.136071 + 0.418783i
\(142\) 5.98945 + 6.71349i 0.502623 + 0.563384i
\(143\) −1.36329 + 1.36329i −0.114004 + 0.114004i
\(144\) 3.42691 + 2.06308i 0.285576 + 0.171923i
\(145\) 2.42942 2.72528i 0.201752 0.226323i
\(146\) 4.85447 + 18.4546i 0.401759 + 1.52731i
\(147\) −3.19391 20.1655i −0.263429 1.66323i
\(148\) 5.28012 + 6.64384i 0.434023 + 0.546120i
\(149\) 18.9045i 1.54871i 0.632748 + 0.774357i \(0.281927\pi\)
−0.632748 + 0.774357i \(0.718073\pi\)
\(150\) −1.79342 + 6.83986i −0.146432 + 0.558472i
\(151\) 7.54220i 0.613775i 0.951746 + 0.306888i \(0.0992876\pi\)
−0.951746 + 0.306888i \(0.900712\pi\)
\(152\) 0.110870 8.07449i 0.00899272 0.654928i
\(153\) 0.155364 + 0.980930i 0.0125604 + 0.0793035i
\(154\) −2.65121 + 0.697401i −0.213641 + 0.0561982i
\(155\) 7.51476 + 12.8677i 0.603600 + 1.03356i
\(156\) 7.03993 7.67616i 0.563646 0.614585i
\(157\) 5.54998 5.54998i 0.442936 0.442936i −0.450061 0.892998i \(-0.648598\pi\)
0.892998 + 0.450061i \(0.148598\pi\)
\(158\) −9.35877 + 8.34944i −0.744544 + 0.664246i
\(159\) 1.35395 + 4.16702i 0.107375 + 0.330466i
\(160\) 11.6458 4.93709i 0.920683 0.390311i
\(161\) 11.4424 35.2161i 0.901787 2.77541i
\(162\) −0.569294 1.29457i −0.0447279 0.101711i
\(163\) −8.50184 4.33190i −0.665915 0.339301i 0.0881433 0.996108i \(-0.471907\pi\)
−0.754059 + 0.656807i \(0.771907\pi\)
\(164\) 0.705268 6.16666i 0.0550722 0.481535i
\(165\) 0.800665 + 0.210275i 0.0623317 + 0.0163699i
\(166\) −9.05674 3.52420i −0.702939 0.273531i
\(167\) 13.2086 + 2.09204i 1.02211 + 0.161887i 0.644921 0.764249i \(-0.276890\pi\)
0.377191 + 0.926136i \(0.376890\pi\)
\(168\) 14.1466 4.38272i 1.09144 0.338134i
\(169\) −8.30012 11.4241i −0.638471 0.878780i
\(170\) 2.79890 + 1.42471i 0.214665 + 0.109270i
\(171\) −1.67815 + 2.30977i −0.128331 + 0.176632i
\(172\) −0.802701 + 0.299727i −0.0612054 + 0.0228540i
\(173\) 2.31220 1.17813i 0.175794 0.0895713i −0.363879 0.931446i \(-0.618548\pi\)
0.539673 + 0.841875i \(0.318548\pi\)
\(174\) 1.78780 + 1.46133i 0.135533 + 0.110783i
\(175\) 14.4767 + 21.8139i 1.09433 + 1.64898i
\(176\) −0.577448 1.36362i −0.0435268 0.102786i
\(177\) 1.94688 + 3.82097i 0.146337 + 0.287202i
\(178\) −9.07969 + 15.5616i −0.680551 + 1.16639i
\(179\) −2.40147 1.74477i −0.179494 0.130410i 0.494410 0.869229i \(-0.335384\pi\)
−0.673904 + 0.738819i \(0.735384\pi\)
\(180\) −4.37048 0.948084i −0.325757 0.0706660i
\(181\) 10.4496 7.59211i 0.776716 0.564317i −0.127276 0.991867i \(-0.540623\pi\)
0.903992 + 0.427550i \(0.140623\pi\)
\(182\) −3.85542 38.3704i −0.285783 2.84420i
\(183\) 1.34962 8.52114i 0.0997664 0.629900i
\(184\) 19.7108 + 3.39992i 1.45310 + 0.250645i
\(185\) −7.98305 5.12799i −0.586926 0.377017i
\(186\) −7.92740 + 5.09668i −0.581265 + 0.373707i
\(187\) 0.166922 0.327603i 0.0122065 0.0239567i
\(188\) −2.79891 + 10.0758i −0.204131 + 0.734856i
\(189\) −4.97984 1.61805i −0.362230 0.117696i
\(190\) 2.79334 + 8.58541i 0.202650 + 0.622851i
\(191\) −15.1573 + 4.92491i −1.09675 + 0.356354i −0.800849 0.598866i \(-0.795618\pi\)
−0.295896 + 0.955220i \(0.595618\pi\)
\(192\) 3.43484 + 7.22508i 0.247888 + 0.521426i
\(193\) 6.71231 + 6.71231i 0.483163 + 0.483163i 0.906140 0.422977i \(-0.139015\pi\)
−0.422977 + 0.906140i \(0.639015\pi\)
\(194\) 0.889067 15.5982i 0.0638313 1.11988i
\(195\) −4.68346 + 10.6616i −0.335390 + 0.763495i
\(196\) 16.9494 37.1500i 1.21067 2.65357i
\(197\) −20.1134 + 3.18565i −1.43302 + 0.226968i −0.824182 0.566325i \(-0.808365\pi\)
−0.608840 + 0.793293i \(0.708365\pi\)
\(198\) −0.111196 + 0.511612i −0.00790237 + 0.0363587i
\(199\) −4.63909 −0.328856 −0.164428 0.986389i \(-0.552578\pi\)
−0.164428 + 0.986389i \(0.552578\pi\)
\(200\) −10.5454 + 9.42312i −0.745670 + 0.666315i
\(201\) 4.18231 0.294998
\(202\) −0.799813 + 3.67993i −0.0562747 + 0.258919i
\(203\) 8.44398 1.33739i 0.592651 0.0938667i
\(204\) −0.824482 + 1.80712i −0.0577253 + 0.126524i
\(205\) 1.47654 + 6.78058i 0.103126 + 0.473576i
\(206\) −0.316679 + 5.55595i −0.0220641 + 0.387101i
\(207\) −5.00046 5.00046i −0.347556 0.347556i
\(208\) 20.2167 5.02226i 1.40177 0.348231i
\(209\) 1.00523 0.326620i 0.0695333 0.0225928i
\(210\) −13.3919 + 9.73790i −0.924127 + 0.671979i
\(211\) 0.267929 + 0.0870554i 0.0184450 + 0.00599314i 0.318225 0.948015i \(-0.396913\pi\)
−0.299780 + 0.954008i \(0.596913\pi\)
\(212\) −2.34539 + 8.44322i −0.161082 + 0.579883i
\(213\) 2.88819 5.66838i 0.197895 0.388391i
\(214\) −0.402304 + 0.258650i −0.0275010 + 0.0176809i
\(215\) 0.741475 0.606566i 0.0505682 0.0413674i
\(216\) 0.480777 2.78727i 0.0327127 0.189649i
\(217\) −5.45860 + 34.4643i −0.370554 + 2.33959i
\(218\) −1.69894 16.9084i −0.115067 1.14518i
\(219\) 10.9163 7.93115i 0.737654 0.535937i
\(220\) 1.10268 + 1.23499i 0.0743428 + 0.0832633i
\(221\) 4.18436 + 3.04011i 0.281470 + 0.204500i
\(222\) 3.02418 5.18310i 0.202969 0.347867i
\(223\) −3.69002 7.24207i −0.247102 0.484965i 0.733826 0.679338i \(-0.237733\pi\)
−0.980928 + 0.194373i \(0.937733\pi\)
\(224\) 28.4278 + 8.31885i 1.89941 + 0.555826i
\(225\) 4.96716 0.572082i 0.331144 0.0381388i
\(226\) 14.9178 + 12.1937i 0.992318 + 0.811111i
\(227\) 21.3646 10.8858i 1.41802 0.722517i 0.434055 0.900886i \(-0.357082\pi\)
0.983964 + 0.178369i \(0.0570822\pi\)
\(228\) −5.34931 + 1.99742i −0.354267 + 0.132283i
\(229\) −0.207489 + 0.285584i −0.0137113 + 0.0188719i −0.815818 0.578309i \(-0.803713\pi\)
0.802106 + 0.597181i \(0.203713\pi\)
\(230\) −22.0860 + 3.50708i −1.45631 + 0.231250i
\(231\) 1.13940 + 1.56825i 0.0749671 + 0.103183i
\(232\) 1.36663 + 4.41125i 0.0897240 + 0.289613i
\(233\) 22.1577 + 3.50943i 1.45160 + 0.229911i 0.831898 0.554928i \(-0.187254\pi\)
0.619700 + 0.784839i \(0.287254\pi\)
\(234\) −6.86359 2.67079i −0.448687 0.174595i
\(235\) −0.669961 11.6725i −0.0437034 0.761428i
\(236\) −0.974552 + 8.52121i −0.0634379 + 0.554683i
\(237\) 7.90187 + 4.02620i 0.513282 + 0.261530i
\(238\) 2.96049 + 6.73212i 0.191900 + 0.436378i
\(239\) −8.84046 + 27.2081i −0.571842 + 1.75995i 0.0748471 + 0.997195i \(0.476153\pi\)
−0.646689 + 0.762754i \(0.723847\pi\)
\(240\) −6.23967 6.40831i −0.402769 0.413655i
\(241\) 0.347825 + 1.07050i 0.0224054 + 0.0689567i 0.961634 0.274335i \(-0.0884579\pi\)
−0.939229 + 0.343292i \(0.888458\pi\)
\(242\) −11.4635 + 10.2272i −0.736902 + 0.657428i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) 11.6625 12.7165i 0.746617 0.814092i
\(245\) −4.54621 + 45.4267i −0.290447 + 2.90220i
\(246\) −4.24452 + 1.11652i −0.270621 + 0.0711867i
\(247\) 2.32593 + 14.6853i 0.147995 + 0.934405i
\(248\) −18.8471 0.258787i −1.19679 0.0164330i
\(249\) 6.87185i 0.435486i
\(250\) 7.76362 13.7741i 0.491014 0.871151i
\(251\) 2.00079i 0.126289i −0.998004 0.0631445i \(-0.979887\pi\)
0.998004 0.0631445i \(-0.0201129\pi\)
\(252\) −6.51562 8.19843i −0.410445 0.516453i
\(253\) 0.409550 + 2.58580i 0.0257482 + 0.162568i
\(254\) −4.72677 17.9691i −0.296584 1.12748i
\(255\) 0.221145 2.20973i 0.0138487 0.138379i
\(256\) −2.25381 + 15.8405i −0.140863 + 0.990029i
\(257\) 6.57806 6.57806i 0.410328 0.410328i −0.471525 0.881853i \(-0.656296\pi\)
0.881853 + 0.471525i \(0.156296\pi\)
\(258\) 0.403344 + 0.452102i 0.0251111 + 0.0281467i
\(259\) −6.86577 21.1307i −0.426618 1.31300i
\(260\) −19.5854 + 12.6029i −1.21464 + 0.781596i
\(261\) 0.504546 1.55283i 0.0312306 0.0961179i
\(262\) −21.2215 + 9.33227i −1.31107 + 0.576550i
\(263\) 3.97089 + 2.02327i 0.244856 + 0.124760i 0.572112 0.820175i \(-0.306124\pi\)
−0.327257 + 0.944936i \(0.606124\pi\)
\(264\) −0.750517 + 0.730186i −0.0461911 + 0.0449398i
\(265\) −0.561405 9.78115i −0.0344869 0.600851i
\(266\) −7.66668 + 19.7024i −0.470074 + 1.20803i
\(267\) 12.5829 + 1.99294i 0.770062 + 0.121966i
\(268\) 6.97318 + 4.61972i 0.425955 + 0.282195i
\(269\) −15.7496 21.6775i −0.960272 1.32170i −0.946811 0.321792i \(-0.895715\pi\)
−0.0134615 0.999909i \(-0.504285\pi\)
\(270\) 0.495930 + 3.12315i 0.0301813 + 0.190069i
\(271\) −5.19079 + 7.14452i −0.315318 + 0.433998i −0.937031 0.349247i \(-0.886437\pi\)
0.621712 + 0.783246i \(0.286437\pi\)
\(272\) −3.37078 + 2.10230i −0.204383 + 0.127470i
\(273\) −24.2965 + 12.3797i −1.47049 + 0.749251i
\(274\) −9.25047 + 11.3171i −0.558841 + 0.683690i
\(275\) −1.61219 0.909534i −0.0972185 0.0548470i
\(276\) −2.81384 13.8607i −0.169373 0.834317i
\(277\) −13.1831 25.8732i −0.792093 1.55457i −0.831615 0.555352i \(-0.812584\pi\)
0.0395222 0.999219i \(-0.487416\pi\)
\(278\) −0.288971 0.168605i −0.0173313 0.0101123i
\(279\) 5.39135 + 3.91704i 0.322772 + 0.234507i
\(280\) −33.0846 + 1.44353i −1.97718 + 0.0862673i
\(281\) 3.57706 2.59889i 0.213389 0.155036i −0.475956 0.879469i \(-0.657898\pi\)
0.689346 + 0.724432i \(0.257898\pi\)
\(282\) 7.35742 0.739268i 0.438128 0.0440228i
\(283\) −0.148343 + 0.936598i −0.00881805 + 0.0556750i −0.991705 0.128535i \(-0.958973\pi\)
0.982887 + 0.184210i \(0.0589726\pi\)
\(284\) 11.0767 6.26065i 0.657281 0.371501i
\(285\) 4.94129 4.04224i 0.292697 0.239441i
\(286\) 1.47452 + 2.29347i 0.0871900 + 0.135616i
\(287\) −7.37731 + 14.4788i −0.435469 + 0.854655i
\(288\) 3.88037 4.11615i 0.228653 0.242547i
\(289\) 15.2299 + 4.94849i 0.895875 + 0.291087i
\(290\) −3.03651 4.17590i −0.178310 0.245217i
\(291\) −10.5068 + 3.41386i −0.615918 + 0.200124i
\(292\) 26.9614 1.16563i 1.57779 0.0682135i
\(293\) 13.0996 + 13.0996i 0.765289 + 0.765289i 0.977273 0.211984i \(-0.0679924\pi\)
−0.211984 + 0.977273i \(0.567992\pi\)
\(294\) −28.8271 1.64309i −1.68123 0.0958269i
\(295\) −2.04031 9.36953i −0.118792 0.545515i
\(296\) 10.7674 5.30132i 0.625842 0.308133i
\(297\) 0.365653 0.0579137i 0.0212173 0.00336049i
\(298\) 26.1250 + 5.67814i 1.51338 + 0.328926i
\(299\) −36.8280 −2.12982
\(300\) 8.91367 + 4.53283i 0.514631 + 0.261703i
\(301\) 2.24324 0.129298
\(302\) 10.4229 + 2.26537i 0.599773 + 0.130357i
\(303\) 2.63007 0.416562i 0.151094 0.0239309i
\(304\) −11.1252 2.57846i −0.638076 0.147885i
\(305\) −7.75874 + 17.6623i −0.444264 + 1.01134i
\(306\) 1.40226 + 0.0799262i 0.0801619 + 0.00456908i
\(307\) −13.1612 13.1612i −0.751147 0.751147i 0.223546 0.974693i \(-0.428237\pi\)
−0.974693 + 0.223546i \(0.928237\pi\)
\(308\) 0.167457 + 3.87331i 0.00954173 + 0.220703i
\(309\) 3.74243 1.21599i 0.212900 0.0691752i
\(310\) 20.0396 6.52008i 1.13818 0.370316i
\(311\) 19.9297 + 6.47555i 1.13011 + 0.367195i 0.813618 0.581400i \(-0.197495\pi\)
0.316492 + 0.948595i \(0.397495\pi\)
\(312\) −8.49355 12.0344i −0.480853 0.681316i
\(313\) 6.80071 13.3471i 0.384399 0.754425i −0.615020 0.788511i \(-0.710852\pi\)
0.999419 + 0.0340866i \(0.0108522\pi\)
\(314\) −6.00280 9.33678i −0.338758 0.526905i
\(315\) 9.85101 + 6.32788i 0.555042 + 0.356536i
\(316\) 8.72751 + 15.4412i 0.490961 + 0.868634i
\(317\) 0.104878 0.662172i 0.00589052 0.0371913i −0.984568 0.175002i \(-0.944007\pi\)
0.990459 + 0.137811i \(0.0440067\pi\)
\(318\) 6.16528 0.619482i 0.345732 0.0347388i
\(319\) −0.489018 + 0.355292i −0.0273797 + 0.0198925i
\(320\) −3.32488 17.5768i −0.185866 0.982575i
\(321\) 0.273604 + 0.198785i 0.0152711 + 0.0110951i
\(322\) −45.2300 26.3903i −2.52057 1.47067i
\(323\) −1.28729 2.52644i −0.0716266 0.140575i
\(324\) −1.96002 + 0.397900i −0.108890 + 0.0221055i
\(325\) 16.1847 20.3980i 0.897766 1.13148i
\(326\) −8.54008 + 10.4480i −0.472991 + 0.578660i
\(327\) −10.7066 + 5.45526i −0.592074 + 0.301677i
\(328\) −8.31018 2.82686i −0.458853 0.156087i
\(329\) 16.0924 22.1492i 0.887201 1.22113i
\(330\) 0.531076 1.04332i 0.0292348 0.0574329i
\(331\) 17.4371 + 24.0002i 0.958432 + 1.31917i 0.947679 + 0.319226i \(0.103423\pi\)
0.0107532 + 0.999942i \(0.496577\pi\)
\(332\) −7.59054 + 11.4574i −0.416585 + 0.628808i
\(333\) −4.19100 0.663789i −0.229665 0.0363754i
\(334\) 6.85842 17.6253i 0.375276 0.964411i
\(335\) −9.04521 2.37550i −0.494193 0.129787i
\(336\) −1.80762 20.8663i −0.0986140 1.13835i
\(337\) −15.3221 7.80699i −0.834647 0.425274i −0.0162086 0.999869i \(-0.505160\pi\)
−0.818438 + 0.574595i \(0.805160\pi\)
\(338\) −18.2806 + 8.03900i −0.994333 + 0.437264i
\(339\) 4.21005 12.9572i 0.228658 0.703738i
\(340\) 2.80955 3.44001i 0.152369 0.186561i
\(341\) −0.762379 2.34636i −0.0412852 0.127063i
\(342\) 2.68794 + 3.01287i 0.145347 + 0.162918i
\(343\) −49.6760 + 49.6760i −2.68225 + 2.68225i
\(344\) 0.173109 + 1.19932i 0.00933342 + 0.0646629i
\(345\) 7.97444 + 13.6548i 0.429330 + 0.735152i
\(346\) −0.933619 3.54921i −0.0501917 0.190807i
\(347\) 2.33324 + 14.7315i 0.125255 + 0.790830i 0.967711 + 0.252064i \(0.0811093\pi\)
−0.842456 + 0.538766i \(0.818891\pi\)
\(348\) 2.55646 2.03172i 0.137041 0.108912i
\(349\) 8.09332i 0.433226i −0.976258 0.216613i \(-0.930499\pi\)
0.976258 0.216613i \(-0.0695009\pi\)
\(350\) 34.4940 13.4540i 1.84378 0.719147i
\(351\) 5.20778i 0.277971i
\(352\) −2.05789 + 0.388429i −0.109686 + 0.0207033i
\(353\) 1.12096 + 7.07744i 0.0596625 + 0.376694i 0.999395 + 0.0347832i \(0.0110741\pi\)
−0.939732 + 0.341911i \(0.888926\pi\)
\(354\) 5.86516 1.54283i 0.311729 0.0820004i
\(355\) −9.46593 + 10.6187i −0.502399 + 0.563583i
\(356\) 18.7781 + 17.2217i 0.995239 + 0.912750i
\(357\) 3.67716 3.67716i 0.194616 0.194616i
\(358\) −3.13248 + 2.79465i −0.165557 + 0.147702i
\(359\) 6.08656 + 18.7325i 0.321237 + 0.988665i 0.973111 + 0.230337i \(0.0739830\pi\)
−0.651874 + 0.758327i \(0.726017\pi\)
\(360\) −2.62292 + 5.75502i −0.138240 + 0.303316i
\(361\) −3.35246 + 10.3178i −0.176445 + 0.543043i
\(362\) −7.35326 16.7212i −0.386479 0.878849i
\(363\) 9.67895 + 4.93167i 0.508013 + 0.258846i
\(364\) −54.1839 6.19690i −2.84001 0.324806i
\(365\) −28.1138 + 10.9526i −1.47154 + 0.573286i
\(366\) −11.3704 4.42450i −0.594341 0.231272i
\(367\) 1.14434 + 0.181246i 0.0597341 + 0.00946095i 0.186230 0.982506i \(-0.440373\pi\)
−0.126496 + 0.991967i \(0.540373\pi\)
\(368\) 10.6188 26.2181i 0.553545 1.36671i
\(369\) 1.82415 + 2.51073i 0.0949615 + 0.130703i
\(370\) −9.48440 + 9.49194i −0.493071 + 0.493462i
\(371\) 13.4849 18.5603i 0.700100 0.963605i
\(372\) 4.66229 + 12.4861i 0.241728 + 0.647374i
\(373\) −5.06396 + 2.58022i −0.262202 + 0.133599i −0.580150 0.814509i \(-0.697006\pi\)
0.317948 + 0.948108i \(0.397006\pi\)
\(374\) −0.402594 0.329076i −0.0208176 0.0170161i
\(375\) −11.0676 1.58403i −0.571526 0.0817988i
\(376\) 13.0836 + 6.89432i 0.674736 + 0.355547i
\(377\) −3.86027 7.57621i −0.198814 0.390195i
\(378\) −3.73180 + 6.39589i −0.191943 + 0.328969i
\(379\) 21.0848 + 15.3190i 1.08305 + 0.786883i 0.978213 0.207606i \(-0.0665671\pi\)
0.104840 + 0.994489i \(0.466567\pi\)
\(380\) 12.7036 1.28155i 0.651682 0.0657419i
\(381\) −10.6291 + 7.72251i −0.544547 + 0.395636i
\(382\) 2.25334 + 22.4259i 0.115291 + 1.14741i
\(383\) 2.36387 14.9249i 0.120788 0.762627i −0.850720 0.525620i \(-0.823834\pi\)
0.971508 0.237007i \(-0.0761665\pi\)
\(384\) 11.0164 2.57666i 0.562178 0.131489i
\(385\) −1.57347 4.03887i −0.0801914 0.205840i
\(386\) 11.2922 7.25997i 0.574757 0.369523i
\(387\) 0.194497 0.381723i 0.00988686 0.0194040i
\(388\) −21.2889 5.91371i −1.08078 0.300223i
\(389\) 14.4497 + 4.69499i 0.732628 + 0.238045i 0.651489 0.758658i \(-0.274144\pi\)
0.0811383 + 0.996703i \(0.474144\pi\)
\(390\) 13.3271 + 9.67462i 0.674844 + 0.489894i
\(391\) 6.67959 2.17033i 0.337801 0.109758i
\(392\) −46.2485 34.5815i −2.33590 1.74663i
\(393\) 11.5914 + 11.5914i 0.584709 + 0.584709i
\(394\) −1.63884 + 28.7526i −0.0825638 + 1.44853i
\(395\) −14.8028 13.1957i −0.744808 0.663950i
\(396\) 0.673624 + 0.307335i 0.0338509 + 0.0154442i
\(397\) −7.85952 + 1.24483i −0.394458 + 0.0624760i −0.350513 0.936558i \(-0.613993\pi\)
−0.0439452 + 0.999034i \(0.513993\pi\)
\(398\) −1.39339 + 6.41098i −0.0698445 + 0.321354i
\(399\) 14.9493 0.748400
\(400\) 9.85487 + 17.4035i 0.492744 + 0.870175i
\(401\) 17.5609 0.876951 0.438476 0.898743i \(-0.355519\pi\)
0.438476 + 0.898743i \(0.355519\pi\)
\(402\) 1.25620 5.77975i 0.0626534 0.288268i
\(403\) 34.2778 5.42907i 1.70750 0.270441i
\(404\) 4.84525 + 2.21060i 0.241060 + 0.109982i
\(405\) 1.93091 1.12765i 0.0959475 0.0560335i
\(406\) 0.688016 12.0709i 0.0341457 0.599066i
\(407\) 1.11079 + 1.11079i 0.0550598 + 0.0550598i
\(408\) 2.24970 + 1.68218i 0.111377 + 0.0832802i
\(409\) 19.3261 6.27944i 0.955615 0.310498i 0.210620 0.977568i \(-0.432452\pi\)
0.744995 + 0.667070i \(0.232452\pi\)
\(410\) 9.81391 0.00389813i 0.484674 0.000192515i
\(411\) 9.82969 + 3.19386i 0.484863 + 0.157542i
\(412\) 7.58292 + 2.10642i 0.373584 + 0.103776i
\(413\) 10.1941 20.0071i 0.501619 0.984483i
\(414\) −8.41232 + 5.40845i −0.413443 + 0.265811i
\(415\) 3.90312 14.8619i 0.191597 0.729543i
\(416\) −0.868244 29.4469i −0.0425691 1.44375i
\(417\) −0.0370079 + 0.233659i −0.00181228 + 0.0114423i
\(418\) −0.149441 1.48728i −0.00730940 0.0727454i
\(419\) 28.1350 20.4413i 1.37449 0.998623i 0.377115 0.926166i \(-0.376916\pi\)
0.997372 0.0724564i \(-0.0230838\pi\)
\(420\) 9.43491 + 21.4318i 0.460376 + 1.04576i
\(421\) 18.7080 + 13.5921i 0.911770 + 0.662440i 0.941462 0.337119i \(-0.109453\pi\)
−0.0296918 + 0.999559i \(0.509453\pi\)
\(422\) 0.200781 0.344116i 0.00977387 0.0167513i
\(423\) −2.37377 4.65879i −0.115417 0.226518i
\(424\) 10.9636 + 5.77721i 0.532442 + 0.280566i
\(425\) −1.73337 + 4.65343i −0.0840810 + 0.225725i
\(426\) −6.96593 5.69388i −0.337500 0.275869i
\(427\) −40.2502 + 20.5085i −1.94784 + 0.992475i
\(428\) 0.236605 + 0.633652i 0.0114367 + 0.0306287i
\(429\) 1.13324 1.55977i 0.0547132 0.0753062i
\(430\) −0.615534 1.20687i −0.0296837 0.0582004i
\(431\) −11.8267 16.2780i −0.569670 0.784083i 0.422846 0.906202i \(-0.361031\pi\)
−0.992516 + 0.122118i \(0.961031\pi\)
\(432\) −3.70746 1.50159i −0.178375 0.0722453i
\(433\) 5.40084 + 0.855409i 0.259548 + 0.0411083i 0.284852 0.958571i \(-0.408056\pi\)
−0.0253044 + 0.999680i \(0.508056\pi\)
\(434\) 45.9883 + 17.8952i 2.20751 + 0.858996i
\(435\) −1.97318 + 3.07178i −0.0946069 + 0.147280i
\(436\) −23.8768 2.73074i −1.14349 0.130779i
\(437\) 17.9894 + 9.16607i 0.860551 + 0.438472i
\(438\) −7.68164 17.4680i −0.367043 0.834651i
\(439\) 8.72231 26.8445i 0.416293 1.28122i −0.494796 0.869009i \(-0.664757\pi\)
0.911089 0.412209i \(-0.135243\pi\)
\(440\) 2.03790 1.15291i 0.0971531 0.0549628i
\(441\) 6.30917 + 19.4176i 0.300437 + 0.924649i
\(442\) 5.45809 4.86944i 0.259615 0.231616i
\(443\) 9.60281 9.60281i 0.456243 0.456243i −0.441177 0.897420i \(-0.645439\pi\)
0.897420 + 0.441177i \(0.145439\pi\)
\(444\) −6.25444 5.73605i −0.296823 0.272221i
\(445\) −26.0815 11.4571i −1.23638 0.543119i
\(446\) −11.1165 + 2.92420i −0.526382 + 0.138465i
\(447\) −2.95731 18.6717i −0.139876 0.883142i
\(448\) 20.0348 36.7871i 0.946554 1.73803i
\(449\) 6.32437i 0.298465i −0.988802 0.149233i \(-0.952320\pi\)
0.988802 0.149233i \(-0.0476803\pi\)
\(450\) 0.701346 7.03620i 0.0330618 0.331690i
\(451\) 1.14892i 0.0541007i
\(452\) 21.3317 16.9532i 1.00336 0.797410i
\(453\) −1.17986 7.44934i −0.0554346 0.350001i
\(454\) −8.62658 32.7945i −0.404866 1.53912i
\(455\) 59.5781 12.9738i 2.79306 0.608220i
\(456\) 1.15362 + 7.99242i 0.0540234 + 0.374279i
\(457\) 23.2984 23.2984i 1.08985 1.08985i 0.0943089 0.995543i \(-0.469936\pi\)
0.995543 0.0943089i \(-0.0300641\pi\)
\(458\) 0.332342 + 0.372517i 0.0155293 + 0.0174066i
\(459\) −0.306902 0.944549i −0.0143250 0.0440878i
\(460\) −1.78714 + 31.5752i −0.0833260 + 1.47220i
\(461\) −6.71640 + 20.6710i −0.312814 + 0.962743i 0.663831 + 0.747883i \(0.268929\pi\)
−0.976645 + 0.214860i \(0.931071\pi\)
\(462\) 2.50947 1.10356i 0.116751 0.0513421i
\(463\) −4.31937 2.20083i −0.200738 0.102281i 0.350732 0.936476i \(-0.385933\pi\)
−0.551470 + 0.834195i \(0.685933\pi\)
\(464\) 6.50661 0.563660i 0.302062 0.0261672i
\(465\) −9.43519 11.5337i −0.437546 0.534863i
\(466\) 11.5051 29.5667i 0.532965 1.36965i
\(467\) −32.7718 5.19055i −1.51650 0.240190i −0.658006 0.753013i \(-0.728600\pi\)
−0.858495 + 0.512823i \(0.828600\pi\)
\(468\) −5.75244 + 8.68294i −0.265907 + 0.401369i
\(469\) −12.8720 17.7167i −0.594372 0.818083i
\(470\) −16.3320 2.58008i −0.753339 0.119010i
\(471\) −4.61344 + 6.34986i −0.212576 + 0.292586i
\(472\) 11.4832 + 3.90621i 0.528555 + 0.179798i
\(473\) −0.141318 + 0.0720050i −0.00649780 + 0.00331079i
\(474\) 7.93741 9.71068i 0.364577 0.446026i
\(475\) −12.9826 + 5.93567i −0.595683 + 0.272347i
\(476\) 10.1927 2.06919i 0.467180 0.0948412i
\(477\) −1.98914 3.90391i −0.0910766 0.178748i
\(478\) 34.9450 + 20.3893i 1.59835 + 0.932585i
\(479\) 24.0616 + 17.4817i 1.09940 + 0.798761i 0.980962 0.194200i \(-0.0622111\pi\)
0.118439 + 0.992961i \(0.462211\pi\)
\(480\) −10.7301 + 6.69811i −0.489760 + 0.305726i
\(481\) −17.8776 + 12.9888i −0.815146 + 0.592238i
\(482\) 1.58384 0.159143i 0.0721421 0.00724879i
\(483\) −5.79251 + 36.5725i −0.263568 + 1.66411i
\(484\) 10.6903 + 18.9138i 0.485921 + 0.859719i
\(485\) 24.6623 1.41553i 1.11986 0.0642761i
\(486\) 0.764800 + 1.18957i 0.0346920 + 0.0539601i
\(487\) 17.4506 34.2488i 0.790764 1.55196i −0.0425064 0.999096i \(-0.513534\pi\)
0.833270 0.552866i \(-0.186466\pi\)
\(488\) −14.0706 19.9366i −0.636948 0.902486i
\(489\) 9.07483 + 2.94859i 0.410378 + 0.133340i
\(490\) 61.4118 + 19.9270i 2.77430 + 0.900208i
\(491\) −5.04088 + 1.63788i −0.227492 + 0.0739166i −0.420545 0.907272i \(-0.638161\pi\)
0.193053 + 0.981188i \(0.438161\pi\)
\(492\) 0.268094 + 6.20107i 0.0120866 + 0.279566i
\(493\) 1.14662 + 1.14662i 0.0516413 + 0.0516413i
\(494\) 20.9930 + 1.19656i 0.944520 + 0.0538359i
\(495\) −0.823702 0.0824344i −0.0370226 0.00370515i
\(496\) −6.01852 + 25.9680i −0.270240 + 1.16600i
\(497\) −32.9009 + 5.21099i −1.47581 + 0.233745i
\(498\) 9.49654 + 2.06402i 0.425550 + 0.0924911i
\(499\) −24.3883 −1.09177 −0.545884 0.837861i \(-0.683806\pi\)
−0.545884 + 0.837861i \(0.683806\pi\)
\(500\) −16.7033 14.8661i −0.746992 0.664833i
\(501\) −13.3732 −0.597473
\(502\) −2.76500 0.600957i −0.123408 0.0268220i
\(503\) 23.5109 3.72375i 1.04830 0.166034i 0.391559 0.920153i \(-0.371936\pi\)
0.656738 + 0.754119i \(0.271936\pi\)
\(504\) −13.2868 + 6.54178i −0.591843 + 0.291394i
\(505\) −5.92473 0.592935i −0.263647 0.0263853i
\(506\) 3.69645 + 0.210691i 0.164327 + 0.00936635i
\(507\) 9.98506 + 9.98506i 0.443452 + 0.443452i
\(508\) −26.2521 + 1.13497i −1.16475 + 0.0503561i
\(509\) −23.6141 + 7.67268i −1.04668 + 0.340086i −0.781363 0.624077i \(-0.785475\pi\)
−0.265313 + 0.964162i \(0.585475\pi\)
\(510\) −2.98731 0.969324i −0.132280 0.0429224i
\(511\) −67.1944 21.8328i −2.97250 0.965825i
\(512\) 21.2138 + 7.87248i 0.937525 + 0.347918i
\(513\) 1.29616 2.54385i 0.0572267 0.112314i
\(514\) −7.11476 11.0663i −0.313819 0.488115i
\(515\) −8.78453 + 0.504202i −0.387093 + 0.0222178i
\(516\) 0.745931 0.421607i 0.0328378 0.0185602i
\(517\) −0.302812 + 1.91188i −0.0133177 + 0.0840845i
\(518\) −31.2637 + 3.14135i −1.37365 + 0.138023i
\(519\) −2.09944 + 1.52533i −0.0921551 + 0.0669546i
\(520\) 11.5338 + 30.8514i 0.505792 + 1.35292i
\(521\) −15.1720 11.0231i −0.664697 0.482930i 0.203549 0.979065i \(-0.434752\pi\)
−0.868246 + 0.496134i \(0.834752\pi\)
\(522\) −1.99439 1.16366i −0.0872921 0.0509322i
\(523\) 0.351650 + 0.690152i 0.0153766 + 0.0301782i 0.898567 0.438836i \(-0.144609\pi\)
−0.883190 + 0.469015i \(0.844609\pi\)
\(524\) 6.52266 + 32.1301i 0.284944 + 1.40361i
\(525\) −17.7109 19.2807i −0.772967 0.841480i
\(526\) 3.98875 4.87986i 0.173918 0.212772i
\(527\) −5.89710 + 3.00472i −0.256882 + 0.130888i
\(528\) 0.783655 + 1.25650i 0.0341042 + 0.0546819i
\(529\) −15.8756 + 21.8510i −0.690245 + 0.950041i
\(530\) −13.6857 2.16203i −0.594468 0.0939124i
\(531\) −2.52065 3.46937i −0.109387 0.150558i
\(532\) 24.9249 + 16.5128i 1.08063 + 0.715919i
\(533\) 15.9630 + 2.52829i 0.691435 + 0.109512i
\(534\) 6.53354 16.7904i 0.282734 0.726590i
\(535\) −0.478823 0.585320i −0.0207013 0.0253056i
\(536\) 8.47868 8.24900i 0.366223 0.356302i
\(537\) 2.64484 + 1.34761i 0.114133 + 0.0581538i
\(538\) −34.6878 + 15.2542i −1.49550 + 0.657653i
\(539\) 2.33572 7.18861i 0.100607 0.309636i
\(540\) 4.46499 + 0.252717i 0.192143 + 0.0108752i
\(541\) −3.92130 12.0685i −0.168590 0.518866i 0.830693 0.556731i \(-0.187944\pi\)
−0.999283 + 0.0378646i \(0.987944\pi\)
\(542\) 8.31426 + 9.31934i 0.357128 + 0.400300i
\(543\) −9.13332 + 9.13332i −0.391948 + 0.391948i
\(544\) 1.89282 + 5.28969i 0.0811541 + 0.226793i
\(545\) 26.2539 5.71706i 1.12459 0.244892i
\(546\) 9.81040 + 37.2948i 0.419846 + 1.59607i
\(547\) 2.48483 + 15.6886i 0.106244 + 0.670797i 0.982119 + 0.188260i \(0.0602846\pi\)
−0.875876 + 0.482537i \(0.839715\pi\)
\(548\) 12.8612 + 16.1829i 0.549402 + 0.691298i
\(549\) 8.62735i 0.368206i
\(550\) −1.74117 + 1.95477i −0.0742436 + 0.0833518i
\(551\) 4.66154i 0.198588i
\(552\) −20.0000 0.274617i −0.851255 0.0116885i
\(553\) −7.26425 45.8647i −0.308907 1.95036i
\(554\) −39.7151 + 10.4471i −1.68733 + 0.443853i
\(555\) 8.68696 + 3.81603i 0.368741 + 0.161981i
\(556\) −0.319799 + 0.348701i −0.0135625 + 0.0147882i
\(557\) −27.0131 + 27.0131i −1.14458 + 1.14458i −0.156979 + 0.987602i \(0.550176\pi\)
−0.987602 + 0.156979i \(0.949824\pi\)
\(558\) 7.03250 6.27405i 0.297709 0.265602i
\(559\) −0.689449 2.12191i −0.0291606 0.0897471i
\(560\) −7.94239 + 46.1549i −0.335627 + 1.95040i
\(561\) −0.113619 + 0.349682i −0.00479698 + 0.0147636i
\(562\) −2.51712 5.72391i −0.106179 0.241449i
\(563\) 13.9788 + 7.12253i 0.589134 + 0.300179i 0.723030 0.690817i \(-0.242749\pi\)
−0.133896 + 0.990995i \(0.542749\pi\)
\(564\) 1.18824 10.3896i 0.0500339 0.437482i
\(565\) −16.4647 + 25.6316i −0.692675 + 1.07833i
\(566\) 1.24978 + 0.486318i 0.0525320 + 0.0204415i
\(567\) 5.17165 + 0.819109i 0.217189 + 0.0343993i
\(568\) −5.32492 17.1879i −0.223429 0.721187i
\(569\) −14.3030 19.6864i −0.599612 0.825296i 0.396060 0.918224i \(-0.370377\pi\)
−0.995673 + 0.0929289i \(0.970377\pi\)
\(570\) −4.10200 8.04274i −0.171814 0.336873i
\(571\) 10.6807 14.7008i 0.446975 0.615208i −0.524769 0.851244i \(-0.675848\pi\)
0.971744 + 0.236036i \(0.0758484\pi\)
\(572\) 3.61234 1.34884i 0.151040 0.0563979i
\(573\) 14.2003 7.23541i 0.593225 0.302263i
\(574\) 17.7931 + 14.5439i 0.742670 + 0.607051i
\(575\) −9.49078 34.0611i −0.395793 1.42044i
\(576\) −4.52281 6.59880i −0.188450 0.274950i
\(577\) −15.2366 29.9035i −0.634308 1.24490i −0.954688 0.297610i \(-0.903811\pi\)
0.320380 0.947289i \(-0.396189\pi\)
\(578\) 11.4130 19.5606i 0.474718 0.813613i
\(579\) −7.67971 5.57963i −0.319158 0.231882i
\(580\) −6.68293 + 2.94203i −0.277494 + 0.122161i
\(581\) 29.1099 21.1496i 1.20768 0.877431i
\(582\) 1.56197 + 15.5452i 0.0647458 + 0.644370i
\(583\) −0.253747 + 1.60209i −0.0105091 + 0.0663520i
\(584\) 6.48725 37.6094i 0.268444 1.55629i
\(585\) 2.95795 11.2630i 0.122296 0.465668i
\(586\) 22.0376 14.1684i 0.910367 0.585293i
\(587\) −6.48594 + 12.7294i −0.267703 + 0.525397i −0.985252 0.171111i \(-0.945264\pi\)
0.717548 + 0.696509i \(0.245264\pi\)
\(588\) −10.9291 + 39.3440i −0.450710 + 1.62252i
\(589\) −18.0949 5.87940i −0.745589 0.242257i
\(590\) −13.5610 + 0.00538651i −0.558299 + 0.000221759i
\(591\) 19.3674 6.29287i 0.796670 0.258854i
\(592\) −4.09207 16.4723i −0.168183 0.677007i
\(593\) −1.73642 1.73642i −0.0713063 0.0713063i 0.670554 0.741861i \(-0.266056\pi\)
−0.741861 + 0.670554i \(0.766056\pi\)
\(594\) 0.0297934 0.522709i 0.00122244 0.0214470i
\(595\) −10.0413 + 5.86411i −0.411652 + 0.240405i
\(596\) 15.6938 34.3980i 0.642843 1.40900i
\(597\) 4.58197 0.725713i 0.187528 0.0297015i
\(598\) −11.0616 + 50.8944i −0.452344 + 2.08123i
\(599\) 4.92161 0.201092 0.100546 0.994932i \(-0.467941\pi\)
0.100546 + 0.994932i \(0.467941\pi\)
\(600\) 8.94144 10.9568i 0.365033 0.447308i
\(601\) −21.9172 −0.894020 −0.447010 0.894529i \(-0.647511\pi\)
−0.447010 + 0.894529i \(0.647511\pi\)
\(602\) 0.673779 3.10005i 0.0274612 0.126348i
\(603\) −4.13082 + 0.654258i −0.168220 + 0.0266435i
\(604\) 6.26125 13.7235i 0.254767 0.558403i
\(605\) −18.1318 16.1634i −0.737163 0.657135i
\(606\) 0.214298 3.75974i 0.00870528 0.152729i
\(607\) 24.0001 + 24.0001i 0.974133 + 0.974133i 0.999674 0.0255408i \(-0.00813078\pi\)
−0.0255408 + 0.999674i \(0.508131\pi\)
\(608\) −6.90488 + 14.6000i −0.280030 + 0.592110i
\(609\) −8.13081 + 2.64186i −0.329477 + 0.107054i
\(610\) 22.0780 + 16.0272i 0.893914 + 0.648924i
\(611\) −25.8971 8.41448i −1.04769 0.340414i
\(612\) 0.531636 1.91385i 0.0214901 0.0773626i
\(613\) −8.12093 + 15.9382i −0.328001 + 0.643738i −0.994839 0.101464i \(-0.967647\pi\)
0.666838 + 0.745203i \(0.267647\pi\)
\(614\) −22.1411 + 14.2350i −0.893544 + 0.574477i
\(615\) −2.51908 6.46611i −0.101579 0.260739i
\(616\) 5.40302 + 0.931969i 0.217694 + 0.0375501i
\(617\) −5.91551 + 37.3491i −0.238150 + 1.50362i 0.521482 + 0.853263i \(0.325380\pi\)
−0.759631 + 0.650354i \(0.774620\pi\)
\(618\) −0.556362 5.53709i −0.0223802 0.222734i
\(619\) 17.2330 12.5205i 0.692654 0.503243i −0.184877 0.982762i \(-0.559189\pi\)
0.877532 + 0.479519i \(0.159189\pi\)
\(620\) −2.99132 29.6521i −0.120134 1.19086i
\(621\) 5.72114 + 4.15665i 0.229582 + 0.166801i
\(622\) 14.9350 25.5968i 0.598837 1.02634i
\(623\) −30.2843 59.4362i −1.21331 2.38126i
\(624\) −19.1821 + 8.12301i −0.767899 + 0.325180i
\(625\) 23.0364 + 9.71205i 0.921456 + 0.388482i
\(626\) −16.4024 13.4072i −0.655572 0.535858i
\(627\) −0.941761 + 0.479851i −0.0376103 + 0.0191634i
\(628\) −14.7060 + 5.49118i −0.586831 + 0.219122i
\(629\) 2.47705 3.40936i 0.0987663 0.135940i
\(630\) 11.7037 11.7130i 0.466285 0.466655i
\(631\) −4.06255 5.59161i −0.161727 0.222599i 0.720461 0.693496i \(-0.243930\pi\)
−0.882188 + 0.470897i \(0.843930\pi\)
\(632\) 23.9603 7.42307i 0.953091 0.295274i
\(633\) −0.278249 0.0440703i −0.0110594 0.00175164i
\(634\) −0.883587 0.343825i −0.0350917 0.0136550i
\(635\) 27.3742 10.6645i 1.08631 0.423207i
\(636\) 0.995706 8.70617i 0.0394823 0.345222i
\(637\) 94.7379 + 48.2714i 3.75365 + 1.91258i
\(638\) 0.344115 + 0.782513i 0.0136236 + 0.0309800i
\(639\) −1.96590 + 6.05041i −0.0777697 + 0.239350i
\(640\) −25.2890 0.684557i −0.999634 0.0270595i
\(641\) −0.733499 2.25748i −0.0289715 0.0891650i 0.935525 0.353260i \(-0.114927\pi\)
−0.964497 + 0.264095i \(0.914927\pi\)
\(642\) 0.356890 0.318399i 0.0140853 0.0125662i
\(643\) 4.36401 4.36401i 0.172100 0.172100i −0.615801 0.787901i \(-0.711168\pi\)
0.787901 + 0.615801i \(0.211168\pi\)
\(644\) −50.0553 + 54.5790i −1.97245 + 2.15071i
\(645\) −0.637458 + 0.715090i −0.0250999 + 0.0281566i
\(646\) −3.87807 + 1.02013i −0.152581 + 0.0401363i
\(647\) 6.93647 + 43.7951i 0.272701 + 1.72176i 0.620510 + 0.784199i \(0.286926\pi\)
−0.347809 + 0.937565i \(0.613074\pi\)
\(648\) −0.0388331 + 2.82816i −0.00152551 + 0.111101i
\(649\) 1.58760i 0.0623189i
\(650\) −23.3278 28.4932i −0.914993 1.11760i
\(651\) 34.8939i 1.36760i
\(652\) 11.8735 + 14.9401i 0.465002 + 0.585100i
\(653\) 3.85995 + 24.3708i 0.151052 + 0.953702i 0.940477 + 0.339856i \(0.110378\pi\)
−0.789426 + 0.613846i \(0.789622\pi\)
\(654\) 4.32308 + 16.4345i 0.169046 + 0.642638i
\(655\) −18.4853 31.6528i −0.722280 1.23678i
\(656\) −6.40262 + 10.6352i −0.249980 + 0.415234i
\(657\) −9.54119 + 9.54119i −0.372237 + 0.372237i
\(658\) −25.7756 28.8916i −1.00484 1.12631i
\(659\) −2.24945 6.92309i −0.0876260 0.269685i 0.897636 0.440738i \(-0.145283\pi\)
−0.985262 + 0.171053i \(0.945283\pi\)
\(660\) −1.28230 1.04729i −0.0499135 0.0407658i
\(661\) −4.69519 + 14.4503i −0.182622 + 0.562052i −0.999899 0.0141920i \(-0.995482\pi\)
0.817277 + 0.576244i \(0.195482\pi\)
\(662\) 38.4044 16.8886i 1.49263 0.656393i
\(663\) −4.60842 2.34811i −0.178976 0.0911929i
\(664\) 13.5537 + 13.9311i 0.525986 + 0.540631i
\(665\) −32.3312 8.49099i −1.25375 0.329267i
\(666\) −2.17613 + 5.59237i −0.0843233 + 0.216700i
\(667\) −11.4042 1.80624i −0.441571 0.0699379i
\(668\) −22.2972 14.7719i −0.862705 0.571542i
\(669\) 4.77750 + 6.57566i 0.184709 + 0.254230i
\(670\) −5.99963 + 11.7865i −0.231786 + 0.455353i
\(671\) 1.87735 2.58395i 0.0724743 0.0997523i
\(672\) −29.3791 3.76935i −1.13332 0.145406i
\(673\) −2.83209 + 1.44302i −0.109169 + 0.0556245i −0.507722 0.861521i \(-0.669512\pi\)
0.398553 + 0.917145i \(0.369512\pi\)
\(674\) −15.3910 + 18.8294i −0.592839 + 0.725283i
\(675\) −4.81652 + 1.34207i −0.185388 + 0.0516565i
\(676\) 5.61874 + 27.6775i 0.216106 + 1.06452i
\(677\) 18.1131 + 35.5491i 0.696145 + 1.36626i 0.920108 + 0.391664i \(0.128100\pi\)
−0.223964 + 0.974597i \(0.571900\pi\)
\(678\) −16.6417 9.70989i −0.639119 0.372906i
\(679\) 46.7983 + 34.0010i 1.79595 + 1.30484i
\(680\) −3.91004 4.91589i −0.149943 0.188516i
\(681\) −19.3987 + 14.0940i −0.743358 + 0.540081i
\(682\) −3.47154 + 0.348818i −0.132932 + 0.0133569i
\(683\) −5.05528 + 31.9178i −0.193435 + 1.22130i 0.679578 + 0.733603i \(0.262163\pi\)
−0.873013 + 0.487697i \(0.837837\pi\)
\(684\) 4.97099 2.80965i 0.190070 0.107430i
\(685\) −19.4449 12.4906i −0.742951 0.477241i
\(686\) 53.7290 + 83.5703i 2.05138 + 3.19073i
\(687\) 0.160259 0.314527i 0.00611427 0.0119999i
\(688\) 1.70939 + 0.120998i 0.0651700 + 0.00461302i
\(689\) −21.7009 7.05106i −0.826740 0.268624i
\(690\) 21.2655 6.91892i 0.809563 0.263399i
\(691\) 2.35753 0.766009i 0.0896848 0.0291404i −0.263831 0.964569i \(-0.584986\pi\)
0.353516 + 0.935429i \(0.384986\pi\)
\(692\) −5.18525 + 0.224176i −0.197114 + 0.00852190i
\(693\) −1.37070 1.37070i −0.0520687 0.0520687i
\(694\) 21.0590 + 1.20033i 0.799390 + 0.0455637i
\(695\) 0.212753 0.484320i 0.00807018 0.0183713i
\(696\) −2.03988 4.14315i −0.0773215 0.157046i
\(697\) −3.04425 + 0.482161i −0.115309 + 0.0182632i
\(698\) −11.1846 2.43091i −0.423342 0.0920111i
\(699\) −22.4339 −0.848527
\(700\) −8.23217 51.7100i −0.311147 1.95445i
\(701\) −9.19901 −0.347442 −0.173721 0.984795i \(-0.555579\pi\)
−0.173721 + 0.984795i \(0.555579\pi\)
\(702\) 7.19689 + 1.56421i 0.271629 + 0.0590372i
\(703\) 11.9654 1.89514i 0.451285 0.0714765i
\(704\) −0.0813177 + 2.96057i −0.00306477 + 0.111581i
\(705\) 2.48769 + 11.4240i 0.0936918 + 0.430251i
\(706\) 10.1174 + 0.576670i 0.380772 + 0.0217033i
\(707\) −9.85920 9.85920i −0.370793 0.370793i
\(708\) −0.370457 8.56875i −0.0139226 0.322033i
\(709\) −24.6840 + 8.02031i −0.927027 + 0.301209i −0.733346 0.679855i \(-0.762043\pi\)
−0.193681 + 0.981065i \(0.562043\pi\)
\(710\) 11.8314 + 16.2709i 0.444023 + 0.610635i
\(711\) −8.43442 2.74051i −0.316316 0.102777i
\(712\) 29.4397 20.7777i 1.10330 0.778678i
\(713\) 21.3950 41.9900i 0.801248 1.57254i
\(714\) −3.97718 6.18611i −0.148842 0.231509i
\(715\) −3.33681 + 2.72969i −0.124790 + 0.102084i
\(716\) 2.92119 + 5.16833i 0.109170 + 0.193150i
\(717\) 4.47533 28.2561i 0.167134 1.05524i
\(718\) 27.7156 2.78484i 1.03434 0.103929i
\(719\) −8.69185 + 6.31500i −0.324151 + 0.235510i −0.737945 0.674861i \(-0.764204\pi\)
0.413793 + 0.910371i \(0.364204\pi\)
\(720\) 7.16533 + 5.35332i 0.267036 + 0.199506i
\(721\) −16.6692 12.1109i −0.620793 0.451033i
\(722\) 13.2518 + 7.73198i 0.493179 + 0.287755i
\(723\) −0.511006 1.00291i −0.0190045 0.0372984i
\(724\) −25.3165 + 5.13946i −0.940881 + 0.191006i
\(725\) 6.01219 5.52267i 0.223287 0.205107i
\(726\) 9.72249 11.8946i 0.360835 0.441448i
\(727\) 20.3289 10.3581i 0.753958 0.384161i −0.0343757 0.999409i \(-0.510944\pi\)
0.788333 + 0.615248i \(0.210944\pi\)
\(728\) −24.8384 + 73.0181i −0.920574 + 2.70623i
\(729\) 0.587785 0.809017i 0.0217698 0.0299636i
\(730\) 6.69172 + 42.1415i 0.247672 + 1.55973i
\(731\) 0.250094 + 0.344225i 0.00925007 + 0.0127316i
\(732\) −9.52965 + 14.3844i −0.352226 + 0.531662i
\(733\) 3.59155 + 0.568846i 0.132657 + 0.0210108i 0.222410 0.974953i \(-0.428608\pi\)
−0.0897528 + 0.995964i \(0.528608\pi\)
\(734\) 0.594186 1.52698i 0.0219318 0.0563620i
\(735\) −2.61606 45.5786i −0.0964947 1.68119i
\(736\) −33.0426 22.5495i −1.21797 0.831187i
\(737\) 1.37958 + 0.702931i 0.0508174 + 0.0258928i
\(738\) 4.01760 1.76676i 0.147890 0.0650354i
\(739\) −7.22761 + 22.2443i −0.265872 + 0.818269i 0.725620 + 0.688096i \(0.241553\pi\)
−0.991491 + 0.130173i \(0.958447\pi\)
\(740\) 10.2687 + 15.9580i 0.377483 + 0.586626i
\(741\) −4.59458 14.1407i −0.168786 0.519471i
\(742\) −21.5991 24.2102i −0.792929 0.888784i
\(743\) 0.983008 0.983008i 0.0360631 0.0360631i −0.688845 0.724908i \(-0.741882\pi\)
0.724908 + 0.688845i \(0.241882\pi\)
\(744\) 18.6555 2.69273i 0.683944 0.0987203i
\(745\) −4.20944 + 42.0616i −0.154222 + 1.54102i
\(746\) 2.04472 + 7.77313i 0.0748626 + 0.284595i
\(747\) −1.07499 6.78724i −0.0393320 0.248332i
\(748\) −0.575690 + 0.457524i −0.0210493 + 0.0167287i
\(749\) 1.77082i 0.0647042i
\(750\) −5.51329 + 14.8190i −0.201317 + 0.541114i
\(751\) 4.90529i 0.178997i −0.995987 0.0894983i \(-0.971474\pi\)
0.995987 0.0894983i \(-0.0285264\pi\)
\(752\) 13.4574 16.0101i 0.490741 0.583829i
\(753\) 0.312993 + 1.97616i 0.0114061 + 0.0720153i
\(754\) −11.6294 + 3.05911i −0.423518 + 0.111406i
\(755\) −1.67941 + 16.7810i −0.0611201 + 0.610725i
\(756\) 7.71792 + 7.07823i 0.280698 + 0.257433i
\(757\) 7.38605 7.38605i 0.268451 0.268451i −0.560025 0.828476i \(-0.689208\pi\)
0.828476 + 0.560025i \(0.189208\pi\)
\(758\) 27.5031 24.5369i 0.998957 0.891220i
\(759\) −0.809015 2.48989i −0.0293654 0.0903774i
\(760\) 2.04462 17.9407i 0.0741661 0.650777i
\(761\) −8.40625 + 25.8718i −0.304726 + 0.937851i 0.675053 + 0.737769i \(0.264121\pi\)
−0.979779 + 0.200082i \(0.935879\pi\)
\(762\) 7.47956 + 17.0084i 0.270956 + 0.616151i
\(763\) 56.0607 + 28.5644i 2.02953 + 1.03410i
\(764\) 31.6683 + 3.62183i 1.14572 + 0.131033i
\(765\) 0.127255 + 2.21712i 0.00460092 + 0.0801601i
\(766\) −19.9154 7.74958i −0.719574 0.280004i
\(767\) −22.0580 3.49364i −0.796468 0.126148i
\(768\) −0.251934 15.9980i −0.00909090 0.577279i
\(769\) 4.36004 + 6.00107i 0.157227 + 0.216404i 0.880362 0.474302i \(-0.157300\pi\)
−0.723135 + 0.690707i \(0.757300\pi\)
\(770\) −6.05412 + 0.961343i −0.218175 + 0.0346444i
\(771\) −5.46804 + 7.52611i −0.196926 + 0.271046i
\(772\) −6.64120 17.7858i −0.239022 0.640126i
\(773\) −42.1935 + 21.4986i −1.51759 + 0.773252i