Properties

Label 280.2.bj.e.131.10
Level $280$
Weight $2$
Character 280.131
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.10
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.e.171.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.03665 - 0.961958i) q^{2} +(-2.66758 + 1.54013i) q^{3} +(0.149275 - 1.99442i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-1.28380 + 4.16266i) q^{6} +(-2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 - 5.61873i) q^{9} +O(q^{10})\) \(q+(1.03665 - 0.961958i) q^{2} +(-2.66758 + 1.54013i) q^{3} +(0.149275 - 1.99442i) q^{4} +(0.500000 - 0.866025i) q^{5} +(-1.28380 + 4.16266i) q^{6} +(-2.53597 + 0.754231i) q^{7} +(-1.76380 - 2.21111i) q^{8} +(3.24397 - 5.61873i) q^{9} +(-0.314756 - 1.37874i) q^{10} +(-1.64217 - 2.84433i) q^{11} +(2.67346 + 5.55017i) q^{12} -6.72078 q^{13} +(-1.90337 + 3.22137i) q^{14} +3.08025i q^{15} +(-3.95543 - 0.595434i) q^{16} +(3.32426 - 1.91926i) q^{17} +(-2.04212 - 8.94520i) q^{18} +(-0.618548 - 0.357119i) q^{19} +(-1.65258 - 1.12649i) q^{20} +(5.60328 - 5.91768i) q^{21} +(-4.43848 - 1.36886i) q^{22} +(-1.09312 - 0.631110i) q^{23} +(8.11046 + 3.18182i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-6.96708 + 6.46511i) q^{26} +10.7438i q^{27} +(1.12570 + 5.17038i) q^{28} +3.04491i q^{29} +(2.96307 + 3.19313i) q^{30} +(-0.0335679 - 0.0581414i) q^{31} +(-4.67317 + 3.18770i) q^{32} +(8.76124 + 5.05831i) q^{33} +(1.59984 - 5.18740i) q^{34} +(-0.614801 + 2.57333i) q^{35} +(-10.7219 - 7.30859i) q^{36} +(0.498735 + 0.287945i) q^{37} +(-0.984749 + 0.224811i) q^{38} +(17.9282 - 10.3508i) q^{39} +(-2.79678 + 0.421945i) q^{40} +0.230821i q^{41} +(0.116067 - 11.5247i) q^{42} +10.0631 q^{43} +(-5.91792 + 2.85060i) q^{44} +(-3.24397 - 5.61873i) q^{45} +(-1.74028 + 0.397292i) q^{46} +(4.23402 - 7.33354i) q^{47} +(11.4685 - 4.50350i) q^{48} +(5.86227 - 3.82541i) q^{49} +(-1.35140 - 0.416784i) q^{50} +(-5.91181 + 10.2396i) q^{51} +(-1.00324 + 13.4041i) q^{52} +(-2.16915 + 1.25236i) q^{53} +(10.3350 + 11.1375i) q^{54} -3.28435 q^{55} +(6.14064 + 4.27698i) q^{56} +2.20003 q^{57} +(2.92908 + 3.15650i) q^{58} +(0.986424 - 0.569512i) q^{59} +(6.14332 + 0.459804i) q^{60} +(0.0888960 - 0.153972i) q^{61} +(-0.0907277 - 0.0279812i) q^{62} +(-3.98880 + 16.6956i) q^{63} +(-1.77799 + 7.79992i) q^{64} +(-3.36039 + 5.82037i) q^{65} +(13.9482 - 3.18427i) q^{66} +(-6.92927 - 12.0019i) q^{67} +(-3.33159 - 6.91647i) q^{68} +3.88796 q^{69} +(1.83810 + 3.25905i) q^{70} +12.0720i q^{71} +(-18.1453 + 2.73756i) q^{72} +(-3.89739 + 2.25016i) q^{73} +(0.794003 - 0.181265i) q^{74} +(2.66758 + 1.54013i) q^{75} +(-0.804579 + 1.18034i) q^{76} +(6.30978 + 5.97455i) q^{77} +(8.62814 - 27.9763i) q^{78} +(-9.66655 - 5.58099i) q^{79} +(-2.49338 + 3.12779i) q^{80} +(-6.81481 - 11.8036i) q^{81} +(0.222040 + 0.239280i) q^{82} +3.24478i q^{83} +(-10.9659 - 12.0587i) q^{84} -3.83853i q^{85} +(10.4319 - 9.68032i) q^{86} +(-4.68955 - 8.12253i) q^{87} +(-3.39264 + 8.64786i) q^{88} +(-13.3148 - 7.68732i) q^{89} +(-8.76784 - 2.70407i) q^{90} +(17.0437 - 5.06902i) q^{91} +(-1.42187 + 2.08592i) q^{92} +(0.179090 + 0.103398i) q^{93} +(-2.66537 - 11.6752i) q^{94} +(-0.618548 + 0.357119i) q^{95} +(7.55658 - 15.7007i) q^{96} +5.76555i q^{97} +(2.39722 - 9.60486i) q^{98} -21.3087 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.03665 0.961958i 0.733020 0.680207i
\(3\) −2.66758 + 1.54013i −1.54013 + 0.889192i −0.541296 + 0.840832i \(0.682066\pi\)
−0.998830 + 0.0483596i \(0.984601\pi\)
\(4\) 0.149275 1.99442i 0.0746375 0.997211i
\(5\) 0.500000 0.866025i 0.223607 0.387298i
\(6\) −1.28380 + 4.16266i −0.524109 + 1.69940i
\(7\) −2.53597 + 0.754231i −0.958506 + 0.285072i
\(8\) −1.76380 2.21111i −0.623599 0.781745i
\(9\) 3.24397 5.61873i 1.08132 1.87291i
\(10\) −0.314756 1.37874i −0.0995346 0.435996i
\(11\) −1.64217 2.84433i −0.495134 0.857597i 0.504850 0.863207i \(-0.331548\pi\)
−0.999984 + 0.00560987i \(0.998214\pi\)
\(12\) 2.67346 + 5.55017i 0.771761 + 1.60220i
\(13\) −6.72078 −1.86401 −0.932005 0.362446i \(-0.881942\pi\)
−0.932005 + 0.362446i \(0.881942\pi\)
\(14\) −1.90337 + 3.22137i −0.508696 + 0.860946i
\(15\) 3.08025i 0.795317i
\(16\) −3.95543 0.595434i −0.988859 0.148859i
\(17\) 3.32426 1.91926i 0.806252 0.465490i −0.0394009 0.999223i \(-0.512545\pi\)
0.845652 + 0.533734i \(0.179212\pi\)
\(18\) −2.04212 8.94520i −0.481333 2.10840i
\(19\) −0.618548 0.357119i −0.141905 0.0819287i 0.427367 0.904078i \(-0.359441\pi\)
−0.569271 + 0.822150i \(0.692775\pi\)
\(20\) −1.65258 1.12649i −0.369529 0.251890i
\(21\) 5.60328 5.91768i 1.22274 1.29134i
\(22\) −4.43848 1.36886i −0.946286 0.291843i
\(23\) −1.09312 0.631110i −0.227930 0.131596i 0.381687 0.924292i \(-0.375343\pi\)
−0.609617 + 0.792696i \(0.708677\pi\)
\(24\) 8.11046 + 3.18182i 1.65554 + 0.649486i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −6.96708 + 6.46511i −1.36636 + 1.26791i
\(27\) 10.7438i 2.06764i
\(28\) 1.12570 + 5.17038i 0.212737 + 0.977110i
\(29\) 3.04491i 0.565426i 0.959205 + 0.282713i \(0.0912344\pi\)
−0.959205 + 0.282713i \(0.908766\pi\)
\(30\) 2.96307 + 3.19313i 0.540980 + 0.582984i
\(31\) −0.0335679 0.0581414i −0.00602898 0.0104425i 0.862995 0.505212i \(-0.168586\pi\)
−0.869024 + 0.494770i \(0.835252\pi\)
\(32\) −4.67317 + 3.18770i −0.826108 + 0.563512i
\(33\) 8.76124 + 5.05831i 1.52514 + 0.880538i
\(34\) 1.59984 5.18740i 0.274370 0.889631i
\(35\) −0.614801 + 2.57333i −0.103920 + 0.434972i
\(36\) −10.7219 7.30859i −1.78698 1.21810i
\(37\) 0.498735 + 0.287945i 0.0819916 + 0.0473379i 0.540435 0.841386i \(-0.318260\pi\)
−0.458444 + 0.888723i \(0.651593\pi\)
\(38\) −0.984749 + 0.224811i −0.159747 + 0.0364691i
\(39\) 17.9282 10.3508i 2.87081 1.65746i
\(40\) −2.79678 + 0.421945i −0.442209 + 0.0667153i
\(41\) 0.230821i 0.0360483i 0.999838 + 0.0180241i \(0.00573757\pi\)
−0.999838 + 0.0180241i \(0.994262\pi\)
\(42\) 0.116067 11.5247i 0.0179095 1.77829i
\(43\) 10.0631 1.53462 0.767308 0.641279i \(-0.221596\pi\)
0.767308 + 0.641279i \(0.221596\pi\)
\(44\) −5.91792 + 2.85060i −0.892160 + 0.429744i
\(45\) −3.24397 5.61873i −0.483583 0.837591i
\(46\) −1.74028 + 0.397292i −0.256590 + 0.0585775i
\(47\) 4.23402 7.33354i 0.617595 1.06971i −0.372328 0.928101i \(-0.621440\pi\)
0.989923 0.141605i \(-0.0452263\pi\)
\(48\) 11.4685 4.50350i 1.65533 0.650024i
\(49\) 5.86227 3.82541i 0.837467 0.546487i
\(50\) −1.35140 0.416784i −0.191117 0.0589422i
\(51\) −5.91181 + 10.2396i −0.827819 + 1.43382i
\(52\) −1.00324 + 13.4041i −0.139125 + 1.85881i
\(53\) −2.16915 + 1.25236i −0.297955 + 0.172024i −0.641524 0.767103i \(-0.721697\pi\)
0.343569 + 0.939128i \(0.388364\pi\)
\(54\) 10.3350 + 11.1375i 1.40642 + 1.51562i
\(55\) −3.28435 −0.442861
\(56\) 6.14064 + 4.27698i 0.820577 + 0.571536i
\(57\) 2.20003 0.291401
\(58\) 2.92908 + 3.15650i 0.384606 + 0.414469i
\(59\) 0.986424 0.569512i 0.128422 0.0741442i −0.434413 0.900714i \(-0.643044\pi\)
0.562835 + 0.826570i \(0.309711\pi\)
\(60\) 6.14332 + 0.459804i 0.793099 + 0.0593605i
\(61\) 0.0888960 0.153972i 0.0113820 0.0197141i −0.860278 0.509825i \(-0.829710\pi\)
0.871660 + 0.490111i \(0.163044\pi\)
\(62\) −0.0907277 0.0279812i −0.0115224 0.00355361i
\(63\) −3.98880 + 16.6956i −0.502541 + 2.10345i
\(64\) −1.77799 + 7.79992i −0.222249 + 0.974990i
\(65\) −3.36039 + 5.82037i −0.416805 + 0.721928i
\(66\) 13.9482 3.18427i 1.71690 0.391956i
\(67\) −6.92927 12.0019i −0.846545 1.46626i −0.884272 0.466971i \(-0.845345\pi\)
0.0377270 0.999288i \(-0.487988\pi\)
\(68\) −3.33159 6.91647i −0.404015 0.838746i
\(69\) 3.88796 0.468055
\(70\) 1.83810 + 3.25905i 0.219695 + 0.389531i
\(71\) 12.0720i 1.43268i 0.697749 + 0.716342i \(0.254185\pi\)
−0.697749 + 0.716342i \(0.745815\pi\)
\(72\) −18.1453 + 2.73756i −2.13845 + 0.322624i
\(73\) −3.89739 + 2.25016i −0.456155 + 0.263361i −0.710426 0.703772i \(-0.751498\pi\)
0.254271 + 0.967133i \(0.418164\pi\)
\(74\) 0.794003 0.181265i 0.0923010 0.0210716i
\(75\) 2.66758 + 1.54013i 0.308025 + 0.177838i
\(76\) −0.804579 + 1.18034i −0.0922916 + 0.135394i
\(77\) 6.30978 + 5.97455i 0.719066 + 0.680863i
\(78\) 8.62814 27.9763i 0.976944 3.16770i
\(79\) −9.66655 5.58099i −1.08757 0.627910i −0.154643 0.987970i \(-0.549423\pi\)
−0.932929 + 0.360061i \(0.882756\pi\)
\(80\) −2.49338 + 3.12779i −0.278768 + 0.349697i
\(81\) −6.81481 11.8036i −0.757202 1.31151i
\(82\) 0.222040 + 0.239280i 0.0245203 + 0.0264241i
\(83\) 3.24478i 0.356161i 0.984016 + 0.178081i \(0.0569888\pi\)
−0.984016 + 0.178081i \(0.943011\pi\)
\(84\) −10.9659 12.0587i −1.19648 1.31571i
\(85\) 3.83853i 0.416347i
\(86\) 10.4319 9.68032i 1.12490 1.04386i
\(87\) −4.68955 8.12253i −0.502772 0.870827i
\(88\) −3.39264 + 8.64786i −0.361657 + 0.921865i
\(89\) −13.3148 7.68732i −1.41137 0.814854i −0.415852 0.909433i \(-0.636516\pi\)
−0.995517 + 0.0945783i \(0.969850\pi\)
\(90\) −8.76784 2.70407i −0.924211 0.285034i
\(91\) 17.0437 5.06902i 1.78666 0.531378i
\(92\) −1.42187 + 2.08592i −0.148241 + 0.217473i
\(93\) 0.179090 + 0.103398i 0.0185708 + 0.0107218i
\(94\) −2.66537 11.6752i −0.274912 1.20421i
\(95\) −0.618548 + 0.357119i −0.0634617 + 0.0366396i
\(96\) 7.55658 15.7007i 0.771240 1.60245i
\(97\) 5.76555i 0.585403i 0.956204 + 0.292701i \(0.0945542\pi\)
−0.956204 + 0.292701i \(0.905446\pi\)
\(98\) 2.39722 9.60486i 0.242156 0.970237i
\(99\) −21.3087 −2.14160
\(100\) −1.80186 + 0.867935i −0.180186 + 0.0867935i
\(101\) −5.65852 9.80085i −0.563044 0.975221i −0.997229 0.0743970i \(-0.976297\pi\)
0.434185 0.900824i \(-0.357037\pi\)
\(102\) 3.72156 + 16.3017i 0.368489 + 1.61411i
\(103\) −0.346486 + 0.600132i −0.0341403 + 0.0591327i −0.882591 0.470142i \(-0.844203\pi\)
0.848450 + 0.529275i \(0.177536\pi\)
\(104\) 11.8541 + 14.8604i 1.16239 + 1.45718i
\(105\) −2.32322 7.81142i −0.226723 0.762317i
\(106\) −1.04392 + 3.38488i −0.101395 + 0.328769i
\(107\) 2.55924 4.43274i 0.247411 0.428529i −0.715396 0.698720i \(-0.753753\pi\)
0.962807 + 0.270191i \(0.0870868\pi\)
\(108\) 21.4276 + 1.60377i 2.06187 + 0.154323i
\(109\) 10.6122 6.12698i 1.01647 0.586858i 0.103389 0.994641i \(-0.467031\pi\)
0.913079 + 0.407783i \(0.133698\pi\)
\(110\) −3.40471 + 3.15940i −0.324626 + 0.301237i
\(111\) −1.77389 −0.168370
\(112\) 10.4800 1.47331i 0.990262 0.139215i
\(113\) −6.58353 −0.619326 −0.309663 0.950846i \(-0.600216\pi\)
−0.309663 + 0.950846i \(0.600216\pi\)
\(114\) 2.28066 2.11634i 0.213603 0.198213i
\(115\) −1.09312 + 0.631110i −0.101934 + 0.0588514i
\(116\) 6.07284 + 0.454529i 0.563849 + 0.0422019i
\(117\) −21.8020 + 37.7622i −2.01560 + 3.49112i
\(118\) 0.474727 1.53928i 0.0437022 0.141702i
\(119\) −6.98265 + 7.37445i −0.640099 + 0.676015i
\(120\) 6.81077 5.43296i 0.621735 0.495959i
\(121\) 0.106534 0.184523i 0.00968495 0.0167748i
\(122\) −0.0559611 0.245129i −0.00506648 0.0221930i
\(123\) −0.355494 0.615734i −0.0320538 0.0555188i
\(124\) −0.120969 + 0.0582696i −0.0108634 + 0.00523276i
\(125\) −1.00000 −0.0894427
\(126\) 11.9255 + 21.1445i 1.06241 + 1.88370i
\(127\) 16.4627i 1.46083i −0.683004 0.730415i \(-0.739327\pi\)
0.683004 0.730415i \(-0.260673\pi\)
\(128\) 5.66004 + 9.79612i 0.500282 + 0.865863i
\(129\) −26.8442 + 15.4985i −2.36350 + 1.36457i
\(130\) 2.11541 + 9.26622i 0.185533 + 0.812701i
\(131\) −0.446341 0.257695i −0.0389970 0.0225149i 0.480375 0.877063i \(-0.340501\pi\)
−0.519372 + 0.854548i \(0.673834\pi\)
\(132\) 11.3962 16.7185i 0.991914 1.45516i
\(133\) 1.83797 + 0.439114i 0.159372 + 0.0380760i
\(134\) −18.7285 5.77602i −1.61789 0.498972i
\(135\) 9.30437 + 5.37188i 0.800792 + 0.462338i
\(136\) −10.1070 3.96510i −0.866671 0.340004i
\(137\) 4.22144 + 7.31175i 0.360662 + 0.624685i 0.988070 0.154006i \(-0.0492175\pi\)
−0.627408 + 0.778691i \(0.715884\pi\)
\(138\) 4.03044 3.74005i 0.343094 0.318374i
\(139\) 19.1037i 1.62036i −0.586182 0.810179i \(-0.699370\pi\)
0.586182 0.810179i \(-0.300630\pi\)
\(140\) 5.04053 + 1.61031i 0.426002 + 0.136096i
\(141\) 26.0837i 2.19664i
\(142\) 11.6128 + 12.5144i 0.974521 + 1.05019i
\(143\) 11.0367 + 19.1161i 0.922934 + 1.59857i
\(144\) −16.1769 + 20.2929i −1.34808 + 1.69108i
\(145\) 2.63697 + 1.52246i 0.218988 + 0.126433i
\(146\) −1.87566 + 6.08174i −0.155231 + 0.503328i
\(147\) −9.74644 + 19.2332i −0.803873 + 1.58633i
\(148\) 0.648732 0.951705i 0.0533255 0.0782297i
\(149\) 5.64120 + 3.25695i 0.462145 + 0.266820i 0.712946 0.701219i \(-0.247361\pi\)
−0.250801 + 0.968039i \(0.580694\pi\)
\(150\) 4.24687 0.969528i 0.346756 0.0791616i
\(151\) −6.19052 + 3.57410i −0.503777 + 0.290856i −0.730272 0.683156i \(-0.760607\pi\)
0.226495 + 0.974012i \(0.427273\pi\)
\(152\) 0.301369 + 1.99756i 0.0244443 + 0.162024i
\(153\) 24.9042i 2.01338i
\(154\) 12.2883 + 0.123757i 0.990217 + 0.00997265i
\(155\) −0.0671359 −0.00539248
\(156\) −17.9677 37.3015i −1.43857 2.98651i
\(157\) −11.5674 20.0353i −0.923176 1.59899i −0.794469 0.607304i \(-0.792251\pi\)
−0.128706 0.991683i \(-0.541082\pi\)
\(158\) −15.3895 + 3.51330i −1.22432 + 0.279503i
\(159\) 3.85757 6.68151i 0.305926 0.529879i
\(160\) 0.424047 + 5.64094i 0.0335239 + 0.445955i
\(161\) 3.24811 + 0.776015i 0.255987 + 0.0611585i
\(162\) −18.4191 5.68061i −1.44714 0.446311i
\(163\) −0.415413 + 0.719516i −0.0325376 + 0.0563568i −0.881836 0.471557i \(-0.843692\pi\)
0.849298 + 0.527914i \(0.177026\pi\)
\(164\) 0.460355 + 0.0344559i 0.0359477 + 0.00269055i
\(165\) 8.76124 5.05831i 0.682062 0.393789i
\(166\) 3.12134 + 3.36370i 0.242263 + 0.261073i
\(167\) 3.59980 0.278561 0.139280 0.990253i \(-0.455521\pi\)
0.139280 + 0.990253i \(0.455521\pi\)
\(168\) −22.9677 1.95183i −1.77200 0.150587i
\(169\) 32.1689 2.47453
\(170\) −3.69250 3.97920i −0.283202 0.305190i
\(171\) −4.01311 + 2.31697i −0.306890 + 0.177183i
\(172\) 1.50218 20.0702i 0.114540 1.53033i
\(173\) 5.28828 9.15958i 0.402061 0.696390i −0.591914 0.806001i \(-0.701627\pi\)
0.993974 + 0.109612i \(0.0349607\pi\)
\(174\) −12.6749 3.90905i −0.960884 0.296345i
\(175\) 1.92117 + 1.81910i 0.145227 + 0.137511i
\(176\) 4.80190 + 12.2284i 0.361957 + 0.921747i
\(177\) −1.75424 + 3.03844i −0.131857 + 0.228383i
\(178\) −21.1977 + 4.83926i −1.58883 + 0.362718i
\(179\) 9.34059 + 16.1784i 0.698149 + 1.20923i 0.969108 + 0.246638i \(0.0793260\pi\)
−0.270959 + 0.962591i \(0.587341\pi\)
\(180\) −11.6904 + 5.63112i −0.871348 + 0.419719i
\(181\) 17.3231 1.28761 0.643807 0.765188i \(-0.277354\pi\)
0.643807 + 0.765188i \(0.277354\pi\)
\(182\) 12.7921 21.6501i 0.948214 1.60481i
\(183\) 0.547644i 0.0404830i
\(184\) 0.532588 + 3.53015i 0.0392629 + 0.260246i
\(185\) 0.498735 0.287945i 0.0366677 0.0211701i
\(186\) 0.285117 0.0650901i 0.0209058 0.00477264i
\(187\) −10.9180 6.30352i −0.798405 0.460959i
\(188\) −13.9941 9.53913i −1.02063 0.695713i
\(189\) −8.10327 27.2458i −0.589426 1.98184i
\(190\) −0.297683 + 0.965223i −0.0215962 + 0.0700247i
\(191\) −7.26161 4.19249i −0.525432 0.303358i 0.213722 0.976894i \(-0.431441\pi\)
−0.739154 + 0.673536i \(0.764775\pi\)
\(192\) −7.26992 23.5452i −0.524661 1.69923i
\(193\) 4.32438 + 7.49005i 0.311276 + 0.539146i 0.978639 0.205587i \(-0.0659103\pi\)
−0.667363 + 0.744733i \(0.732577\pi\)
\(194\) 5.54621 + 5.97684i 0.398195 + 0.429112i
\(195\) 20.7017i 1.48248i
\(196\) −6.75439 12.2629i −0.482457 0.875920i
\(197\) 9.70322i 0.691326i 0.938359 + 0.345663i \(0.112346\pi\)
−0.938359 + 0.345663i \(0.887654\pi\)
\(198\) −22.0896 + 20.4980i −1.56984 + 1.45673i
\(199\) 0.189423 + 0.328090i 0.0134278 + 0.0232577i 0.872661 0.488326i \(-0.162392\pi\)
−0.859233 + 0.511584i \(0.829059\pi\)
\(200\) −1.03297 + 2.63305i −0.0730423 + 0.186185i
\(201\) 36.9687 + 21.3439i 2.60757 + 1.50548i
\(202\) −15.2939 4.71676i −1.07607 0.331870i
\(203\) −2.29657 7.72180i −0.161187 0.541964i
\(204\) 19.5395 + 13.3192i 1.36804 + 0.932527i
\(205\) 0.199897 + 0.115411i 0.0139614 + 0.00806064i
\(206\) 0.218117 + 0.955430i 0.0151970 + 0.0665680i
\(207\) −7.09208 + 4.09461i −0.492933 + 0.284595i
\(208\) 26.5836 + 4.00178i 1.84324 + 0.277474i
\(209\) 2.34580i 0.162263i
\(210\) −9.92262 5.86285i −0.684726 0.404575i
\(211\) 1.17567 0.0809367 0.0404684 0.999181i \(-0.487115\pi\)
0.0404684 + 0.999181i \(0.487115\pi\)
\(212\) 2.17393 + 4.51314i 0.149306 + 0.309964i
\(213\) −18.5924 32.2030i −1.27393 2.20651i
\(214\) −1.61107 7.05706i −0.110131 0.482411i
\(215\) 5.03157 8.71494i 0.343150 0.594354i
\(216\) 23.7556 18.9499i 1.61636 1.28938i
\(217\) 0.128979 + 0.122127i 0.00875568 + 0.00829050i
\(218\) 5.10725 16.5600i 0.345907 1.12159i
\(219\) 6.93105 12.0049i 0.468357 0.811218i
\(220\) −0.490271 + 6.55037i −0.0330540 + 0.441626i
\(221\) −22.3416 + 12.8989i −1.50286 + 0.867677i
\(222\) −1.83889 + 1.70640i −0.123418 + 0.114526i
\(223\) −7.97945 −0.534343 −0.267172 0.963649i \(-0.586089\pi\)
−0.267172 + 0.963649i \(0.586089\pi\)
\(224\) 9.44675 11.6086i 0.631188 0.775630i
\(225\) −6.48795 −0.432530
\(226\) −6.82480 + 6.33307i −0.453979 + 0.421270i
\(227\) −5.41980 + 3.12912i −0.359725 + 0.207687i −0.668960 0.743298i \(-0.733260\pi\)
0.309235 + 0.950986i \(0.399927\pi\)
\(228\) 0.328410 4.38779i 0.0217495 0.290589i
\(229\) −6.97388 + 12.0791i −0.460847 + 0.798211i −0.999003 0.0446343i \(-0.985788\pi\)
0.538156 + 0.842845i \(0.319121\pi\)
\(230\) −0.526073 + 1.70577i −0.0346883 + 0.112475i
\(231\) −26.0334 6.21971i −1.71287 0.409227i
\(232\) 6.73263 5.37062i 0.442019 0.352599i
\(233\) −0.0277929 + 0.0481388i −0.00182077 + 0.00315367i −0.866934 0.498422i \(-0.833913\pi\)
0.865114 + 0.501576i \(0.167246\pi\)
\(234\) 13.7247 + 60.1188i 0.897209 + 3.93009i
\(235\) −4.23402 7.33354i −0.276197 0.478387i
\(236\) −0.988599 2.05236i −0.0643523 0.133597i
\(237\) 34.3817 2.23333
\(238\) −0.144639 + 14.3617i −0.00937558 + 0.930932i
\(239\) 7.90839i 0.511552i −0.966736 0.255776i \(-0.917669\pi\)
0.966736 0.255776i \(-0.0823309\pi\)
\(240\) 1.83409 12.1837i 0.118390 0.786456i
\(241\) −11.6219 + 6.70993i −0.748635 + 0.432225i −0.825201 0.564840i \(-0.808938\pi\)
0.0765652 + 0.997065i \(0.475605\pi\)
\(242\) −0.0670647 0.293767i −0.00431109 0.0188841i
\(243\) 8.44497 + 4.87570i 0.541745 + 0.312777i
\(244\) −0.293816 0.200280i −0.0188096 0.0128216i
\(245\) −0.381767 6.98958i −0.0243902 0.446548i
\(246\) −0.960832 0.296328i −0.0612604 0.0188932i
\(247\) 4.15713 + 2.40012i 0.264512 + 0.152716i
\(248\) −0.0693496 + 0.176772i −0.00440370 + 0.0112251i
\(249\) −4.99737 8.65570i −0.316696 0.548533i
\(250\) −1.03665 + 0.961958i −0.0655633 + 0.0608395i
\(251\) 18.3987i 1.16132i 0.814148 + 0.580658i \(0.197205\pi\)
−0.814148 + 0.580658i \(0.802795\pi\)
\(252\) 32.7027 + 10.4476i 2.06008 + 0.658136i
\(253\) 4.14557i 0.260630i
\(254\) −15.8364 17.0660i −0.993666 1.07082i
\(255\) 5.91181 + 10.2396i 0.370212 + 0.641226i
\(256\) 15.2909 + 4.71040i 0.955682 + 0.294400i
\(257\) −25.9092 14.9587i −1.61617 0.933096i −0.987899 0.155101i \(-0.950430\pi\)
−0.628271 0.777995i \(-0.716237\pi\)
\(258\) −12.9191 + 41.8895i −0.804306 + 2.60792i
\(259\) −1.48195 0.354058i −0.0920841 0.0220001i
\(260\) 11.1066 + 7.57087i 0.688805 + 0.469525i
\(261\) 17.1085 + 9.87761i 1.05899 + 0.611409i
\(262\) −0.710590 + 0.162222i −0.0439004 + 0.0100221i
\(263\) 17.3117 9.99491i 1.06748 0.616313i 0.139992 0.990153i \(-0.455292\pi\)
0.927493 + 0.373840i \(0.121959\pi\)
\(264\) −4.26865 28.2939i −0.262717 1.74137i
\(265\) 2.50471i 0.153863i
\(266\) 2.32773 1.31284i 0.142723 0.0804955i
\(267\) 47.3578 2.89825
\(268\) −24.9711 + 12.0283i −1.52535 + 0.734746i
\(269\) 11.9143 + 20.6361i 0.726426 + 1.25821i 0.958384 + 0.285481i \(0.0921533\pi\)
−0.231958 + 0.972726i \(0.574513\pi\)
\(270\) 14.8129 3.38166i 0.901482 0.205802i
\(271\) 9.94307 17.2219i 0.603999 1.04616i −0.388210 0.921571i \(-0.626907\pi\)
0.992209 0.124585i \(-0.0397601\pi\)
\(272\) −14.2917 + 5.61214i −0.866561 + 0.340286i
\(273\) −37.6584 + 39.7714i −2.27919 + 2.40708i
\(274\) 11.4097 + 3.51886i 0.689287 + 0.212582i
\(275\) −1.64217 + 2.84433i −0.0990268 + 0.171519i
\(276\) 0.580374 7.75423i 0.0349344 0.466750i
\(277\) 17.1311 9.89062i 1.02931 0.594270i 0.112520 0.993649i \(-0.464108\pi\)
0.916786 + 0.399380i \(0.130774\pi\)
\(278\) −18.3770 19.8038i −1.10218 1.18776i
\(279\) −0.435574 −0.0260771
\(280\) 6.77429 3.17945i 0.404842 0.190009i
\(281\) −9.91394 −0.591416 −0.295708 0.955278i \(-0.595556\pi\)
−0.295708 + 0.955278i \(0.595556\pi\)
\(282\) 25.0914 + 27.0396i 1.49417 + 1.61018i
\(283\) 23.3509 13.4816i 1.38806 0.801399i 0.394967 0.918695i \(-0.370756\pi\)
0.993097 + 0.117296i \(0.0374225\pi\)
\(284\) 24.0767 + 1.80205i 1.42869 + 0.106932i
\(285\) 1.10002 1.90528i 0.0651593 0.112859i
\(286\) 29.8300 + 9.19983i 1.76389 + 0.543997i
\(287\) −0.174093 0.585356i −0.0102764 0.0345525i
\(288\) 2.75120 + 36.5981i 0.162116 + 2.15656i
\(289\) −1.13286 + 1.96217i −0.0666389 + 0.115422i
\(290\) 4.19815 0.958404i 0.246524 0.0562794i
\(291\) −8.87967 15.3800i −0.520535 0.901594i
\(292\) 3.90598 + 8.10892i 0.228580 + 0.474539i
\(293\) 2.04836 0.119666 0.0598332 0.998208i \(-0.480943\pi\)
0.0598332 + 0.998208i \(0.480943\pi\)
\(294\) 8.39791 + 29.3137i 0.489776 + 1.70961i
\(295\) 1.13902i 0.0663166i
\(296\) −0.242994 1.61064i −0.0141237 0.0936163i
\(297\) 30.5588 17.6431i 1.77320 1.02376i
\(298\) 8.98098 2.05029i 0.520254 0.118770i
\(299\) 7.34659 + 4.24156i 0.424864 + 0.245295i
\(300\) 3.46986 5.09037i 0.200333 0.293893i
\(301\) −25.5198 + 7.58993i −1.47094 + 0.437477i
\(302\) −2.97925 + 9.66010i −0.171437 + 0.555876i
\(303\) 30.1891 + 17.4297i 1.73432 + 1.00131i
\(304\) 2.23399 + 1.78086i 0.128128 + 0.102140i
\(305\) −0.0888960 0.153972i −0.00509017 0.00881644i
\(306\) −23.9567 25.8168i −1.36952 1.47585i
\(307\) 7.59189i 0.433292i −0.976250 0.216646i \(-0.930488\pi\)
0.976250 0.216646i \(-0.0695118\pi\)
\(308\) 12.8577 11.6925i 0.732633 0.666242i
\(309\) 2.13453i 0.121429i
\(310\) −0.0695962 + 0.0645819i −0.00395280 + 0.00366800i
\(311\) −8.84137 15.3137i −0.501348 0.868360i −0.999999 0.00155721i \(-0.999504\pi\)
0.498651 0.866803i \(-0.333829\pi\)
\(312\) −54.5087 21.3843i −3.08594 1.21065i
\(313\) 11.5543 + 6.67087i 0.653087 + 0.377060i 0.789638 0.613573i \(-0.210268\pi\)
−0.136551 + 0.990633i \(0.543602\pi\)
\(314\) −31.2643 9.64218i −1.76435 0.544140i
\(315\) 12.4644 + 11.8022i 0.702291 + 0.664979i
\(316\) −12.5738 + 18.4461i −0.707332 + 1.03767i
\(317\) −1.03929 0.600036i −0.0583725 0.0337014i 0.470530 0.882384i \(-0.344063\pi\)
−0.528902 + 0.848683i \(0.677396\pi\)
\(318\) −2.42839 10.6372i −0.136177 0.596504i
\(319\) 8.66072 5.00027i 0.484907 0.279961i
\(320\) 5.86593 + 5.43975i 0.327916 + 0.304091i
\(321\) 15.7662i 0.879984i
\(322\) 4.11364 2.32009i 0.229244 0.129294i
\(323\) −2.74162 −0.152548
\(324\) −24.5586 + 11.8296i −1.36437 + 0.657202i
\(325\) 3.36039 + 5.82037i 0.186401 + 0.322856i
\(326\) 0.261507 + 1.14549i 0.0144836 + 0.0634430i
\(327\) −18.8726 + 32.6884i −1.04366 + 1.80767i
\(328\) 0.510371 0.407124i 0.0281805 0.0224796i
\(329\) −5.20616 + 21.7910i −0.287025 + 1.20138i
\(330\) 4.21644 13.6716i 0.232107 0.752598i
\(331\) −3.01312 + 5.21888i −0.165616 + 0.286856i −0.936874 0.349667i \(-0.886295\pi\)
0.771258 + 0.636523i \(0.219628\pi\)
\(332\) 6.47146 + 0.484365i 0.355168 + 0.0265830i
\(333\) 3.23577 1.86817i 0.177319 0.102375i
\(334\) 3.73172 3.46286i 0.204191 0.189479i
\(335\) −13.8585 −0.757173
\(336\) −25.6870 + 20.0706i −1.40134 + 1.09494i
\(337\) −17.3124 −0.943069 −0.471534 0.881848i \(-0.656300\pi\)
−0.471534 + 0.881848i \(0.656300\pi\)
\(338\) 33.3478 30.9451i 1.81388 1.68319i
\(339\) 17.5621 10.1395i 0.953840 0.550700i
\(340\) −7.65564 0.572996i −0.415185 0.0310750i
\(341\) −0.110249 + 0.190956i −0.00597030 + 0.0103409i
\(342\) −1.93135 + 6.26232i −0.104436 + 0.338627i
\(343\) −11.9813 + 14.1226i −0.646929 + 0.762550i
\(344\) −17.7494 22.2507i −0.956984 1.19968i
\(345\) 1.94398 3.36707i 0.104660 0.181277i
\(346\) −3.32904 14.5824i −0.178970 0.783952i
\(347\) −2.07692 3.59734i −0.111495 0.193115i 0.804878 0.593440i \(-0.202231\pi\)
−0.916373 + 0.400325i \(0.868897\pi\)
\(348\) −16.8998 + 8.14044i −0.905923 + 0.436373i
\(349\) 12.1023 0.647823 0.323912 0.946087i \(-0.395002\pi\)
0.323912 + 0.946087i \(0.395002\pi\)
\(350\) 3.74147 + 0.0376810i 0.199990 + 0.00201413i
\(351\) 72.2064i 3.85409i
\(352\) 16.7410 + 8.05727i 0.892300 + 0.429454i
\(353\) 10.4647 6.04182i 0.556982 0.321573i −0.194952 0.980813i \(-0.562455\pi\)
0.751933 + 0.659239i \(0.229122\pi\)
\(354\) 1.10432 + 4.83729i 0.0586938 + 0.257099i
\(355\) 10.4547 + 6.03601i 0.554876 + 0.320358i
\(356\) −17.3193 + 25.4079i −0.917922 + 1.34661i
\(357\) 7.26918 30.4261i 0.384726 1.61032i
\(358\) 25.2458 + 7.78602i 1.33428 + 0.411504i
\(359\) −8.88907 5.13211i −0.469147 0.270862i 0.246735 0.969083i \(-0.420642\pi\)
−0.715883 + 0.698221i \(0.753975\pi\)
\(360\) −6.70188 + 17.0831i −0.353220 + 0.900359i
\(361\) −9.24493 16.0127i −0.486575 0.842773i
\(362\) 17.9579 16.6641i 0.943846 0.875843i
\(363\) 0.656306i 0.0344471i
\(364\) −7.56557 34.7490i −0.396543 1.82134i
\(365\) 4.50031i 0.235557i
\(366\) 0.526811 + 0.567714i 0.0275368 + 0.0296749i
\(367\) 9.27079 + 16.0575i 0.483931 + 0.838194i 0.999830 0.0184562i \(-0.00587511\pi\)
−0.515898 + 0.856650i \(0.672542\pi\)
\(368\) 3.94796 + 3.14719i 0.205802 + 0.164059i
\(369\) 1.29692 + 0.748779i 0.0675151 + 0.0389799i
\(370\) 0.240022 0.778259i 0.0124781 0.0404598i
\(371\) 4.55632 4.81197i 0.236552 0.249825i
\(372\) 0.232952 0.341746i 0.0120780 0.0177187i
\(373\) −23.0707 13.3199i −1.19456 0.689677i −0.235219 0.971942i \(-0.575581\pi\)
−0.959336 + 0.282266i \(0.908914\pi\)
\(374\) −17.3819 + 3.96815i −0.898795 + 0.205188i
\(375\) 2.66758 1.54013i 0.137753 0.0795317i
\(376\) −23.6832 + 3.57305i −1.22137 + 0.184266i
\(377\) 20.4642i 1.05396i
\(378\) −34.6096 20.4493i −1.78012 1.05180i
\(379\) −24.7032 −1.26892 −0.634459 0.772956i \(-0.718777\pi\)
−0.634459 + 0.772956i \(0.718777\pi\)
\(380\) 0.619912 + 1.28695i 0.0318008 + 0.0660194i
\(381\) 25.3546 + 43.9155i 1.29896 + 2.24986i
\(382\) −11.5607 + 2.63923i −0.591498 + 0.135035i
\(383\) −9.52490 + 16.4976i −0.486700 + 0.842989i −0.999883 0.0152904i \(-0.995133\pi\)
0.513183 + 0.858279i \(0.328466\pi\)
\(384\) −30.1858 17.4147i −1.54041 0.888691i
\(385\) 8.32900 2.47716i 0.424485 0.126248i
\(386\) 11.6880 + 3.60467i 0.594902 + 0.183473i
\(387\) 32.6446 56.5421i 1.65942 2.87420i
\(388\) 11.4989 + 0.860652i 0.583770 + 0.0436930i
\(389\) −26.6121 + 15.3645i −1.34929 + 0.779010i −0.988148 0.153502i \(-0.950945\pi\)
−0.361137 + 0.932513i \(0.617611\pi\)
\(390\) −19.9142 21.4604i −1.00839 1.08669i
\(391\) −4.84507 −0.245026
\(392\) −18.7983 6.21484i −0.949457 0.313897i
\(393\) 1.58753 0.0800803
\(394\) 9.33409 + 10.0588i 0.470244 + 0.506756i
\(395\) −9.66655 + 5.58099i −0.486377 + 0.280810i
\(396\) −3.18085 + 42.4985i −0.159844 + 2.13563i
\(397\) 14.3388 24.8356i 0.719646 1.24646i −0.241494 0.970402i \(-0.577637\pi\)
0.961140 0.276061i \(-0.0890292\pi\)
\(398\) 0.511974 + 0.157897i 0.0256629 + 0.00791466i
\(399\) −5.57921 + 1.65933i −0.279310 + 0.0830705i
\(400\) 1.46206 + 3.72322i 0.0731028 + 0.186161i
\(401\) −3.59148 + 6.22063i −0.179350 + 0.310643i −0.941658 0.336571i \(-0.890733\pi\)
0.762308 + 0.647214i \(0.224066\pi\)
\(402\) 58.8554 13.4362i 2.93544 0.670139i
\(403\) 0.225603 + 0.390755i 0.0112381 + 0.0194649i
\(404\) −20.3917 + 9.82246i −1.01452 + 0.488686i
\(405\) −13.6296 −0.677262
\(406\) −9.80877 5.79558i −0.486801 0.287630i
\(407\) 1.89142i 0.0937543i
\(408\) 33.0680 4.98892i 1.63711 0.246988i
\(409\) −13.5732 + 7.83652i −0.671154 + 0.387491i −0.796514 0.604620i \(-0.793325\pi\)
0.125360 + 0.992111i \(0.459991\pi\)
\(410\) 0.318243 0.0726525i 0.0157169 0.00358805i
\(411\) −22.5220 13.0031i −1.11093 0.641395i
\(412\) 1.14519 + 0.780624i 0.0564197 + 0.0384586i
\(413\) −2.07200 + 2.18826i −0.101956 + 0.107677i
\(414\) −3.41314 + 11.0669i −0.167747 + 0.543911i
\(415\) 2.81006 + 1.62239i 0.137941 + 0.0796401i
\(416\) 31.4074 21.4239i 1.53987 1.05039i
\(417\) 29.4222 + 50.9607i 1.44081 + 2.49556i
\(418\) 2.25656 + 2.43177i 0.110372 + 0.118942i
\(419\) 36.8405i 1.79978i 0.436122 + 0.899888i \(0.356352\pi\)
−0.436122 + 0.899888i \(0.643648\pi\)
\(420\) −15.9261 + 3.46743i −0.777112 + 0.169193i
\(421\) 8.37624i 0.408233i 0.978947 + 0.204116i \(0.0654321\pi\)
−0.978947 + 0.204116i \(0.934568\pi\)
\(422\) 1.21876 1.13095i 0.0593282 0.0550537i
\(423\) −27.4701 47.5796i −1.33564 2.31340i
\(424\) 6.59504 + 2.58730i 0.320284 + 0.125651i
\(425\) −3.32426 1.91926i −0.161250 0.0930979i
\(426\) −50.2517 15.4980i −2.43470 0.750883i
\(427\) −0.109307 + 0.457517i −0.00528972 + 0.0221408i
\(428\) −8.45871 5.76590i −0.408867 0.278705i
\(429\) −58.8824 33.9958i −2.84287 1.64133i
\(430\) −3.16744 13.8745i −0.152747 0.669087i
\(431\) 20.5648 11.8731i 0.990570 0.571906i 0.0851256 0.996370i \(-0.472871\pi\)
0.905445 + 0.424464i \(0.139538\pi\)
\(432\) 6.39720 42.4962i 0.307785 2.04460i
\(433\) 6.49599i 0.312177i 0.987743 + 0.156089i \(0.0498885\pi\)
−0.987743 + 0.156089i \(0.950111\pi\)
\(434\) 0.251187 + 0.00252975i 0.0120573 + 0.000121432i
\(435\) −9.37909 −0.449693
\(436\) −10.6356 22.0799i −0.509355 1.05743i
\(437\) 0.450763 + 0.780744i 0.0215629 + 0.0373481i
\(438\) −4.36318 19.1123i −0.208481 0.913219i
\(439\) −11.0256 + 19.0969i −0.526223 + 0.911444i 0.473311 + 0.880896i \(0.343059\pi\)
−0.999533 + 0.0305486i \(0.990275\pi\)
\(440\) 5.79294 + 7.26204i 0.276168 + 0.346204i
\(441\) −2.47689 45.3480i −0.117947 2.15943i
\(442\) −10.7521 + 34.8634i −0.511427 + 1.65828i
\(443\) −2.81959 + 4.88367i −0.133963 + 0.232030i −0.925201 0.379478i \(-0.876104\pi\)
0.791238 + 0.611508i \(0.209437\pi\)
\(444\) −0.264797 + 3.53788i −0.0125667 + 0.167900i
\(445\) −13.3148 + 7.68732i −0.631183 + 0.364414i
\(446\) −8.27187 + 7.67589i −0.391684 + 0.363464i
\(447\) −20.0644 −0.949015
\(448\) −1.37400 21.1214i −0.0649156 0.997891i
\(449\) 16.7623 0.791063 0.395531 0.918452i \(-0.370560\pi\)
0.395531 + 0.918452i \(0.370560\pi\)
\(450\) −6.72571 + 6.24113i −0.317053 + 0.294210i
\(451\) 0.656532 0.379049i 0.0309149 0.0178487i
\(452\) −0.982755 + 13.1303i −0.0462249 + 0.617599i
\(453\) 11.0091 19.0684i 0.517254 0.895910i
\(454\) −2.60834 + 8.45742i −0.122415 + 0.396926i
\(455\) 4.13194 17.2948i 0.193709 0.810792i
\(456\) −3.88042 4.86451i −0.181718 0.227801i
\(457\) −7.58737 + 13.1417i −0.354922 + 0.614744i −0.987105 0.160076i \(-0.948826\pi\)
0.632182 + 0.774820i \(0.282159\pi\)
\(458\) 4.39015 + 19.2304i 0.205138 + 0.898576i
\(459\) 20.6201 + 35.7150i 0.962463 + 1.66704i
\(460\) 1.09553 + 2.27434i 0.0510791 + 0.106042i
\(461\) 28.7740 1.34014 0.670070 0.742298i \(-0.266264\pi\)
0.670070 + 0.742298i \(0.266264\pi\)
\(462\) −32.9705 + 18.5954i −1.53393 + 0.865134i
\(463\) 34.4369i 1.60042i 0.599720 + 0.800210i \(0.295279\pi\)
−0.599720 + 0.800210i \(0.704721\pi\)
\(464\) 1.81304 12.0439i 0.0841685 0.559126i
\(465\) 0.179090 0.103398i 0.00830510 0.00479495i
\(466\) 0.0174960 + 0.0766385i 0.000810486 + 0.00355021i
\(467\) 15.9360 + 9.20065i 0.737430 + 0.425755i 0.821134 0.570735i \(-0.193342\pi\)
−0.0837042 + 0.996491i \(0.526675\pi\)
\(468\) 72.0593 + 49.1194i 3.33094 + 2.27055i
\(469\) 26.6246 + 25.2100i 1.22941 + 1.16409i
\(470\) −11.4437 3.52934i −0.527860 0.162796i
\(471\) 61.7136 + 35.6304i 2.84361 + 1.64176i
\(472\) −2.99911 1.17658i −0.138045 0.0541566i
\(473\) −16.5254 28.6229i −0.759840 1.31608i
\(474\) 35.6417 33.0737i 1.63708 1.51913i
\(475\) 0.714238i 0.0327715i
\(476\) 13.6654 + 15.0272i 0.626354 + 0.688769i
\(477\) 16.2505i 0.744057i
\(478\) −7.60754 8.19822i −0.347961 0.374978i
\(479\) 11.9755 + 20.7422i 0.547175 + 0.947735i 0.998467 + 0.0553583i \(0.0176301\pi\)
−0.451292 + 0.892377i \(0.649037\pi\)
\(480\) −9.81893 14.3945i −0.448171 0.657018i
\(481\) −3.35189 1.93521i −0.152833 0.0882382i
\(482\) −5.59319 + 18.1357i −0.254763 + 0.826056i
\(483\) −9.85974 + 2.93242i −0.448634 + 0.133430i
\(484\) −0.352114 0.240019i −0.0160052 0.0109100i
\(485\) 4.99311 + 2.88277i 0.226726 + 0.130900i
\(486\) 13.4447 3.06932i 0.609863 0.139227i
\(487\) 21.5404 12.4364i 0.976089 0.563545i 0.0750017 0.997183i \(-0.476104\pi\)
0.901087 + 0.433638i \(0.142770\pi\)
\(488\) −0.497245 + 0.0750185i −0.0225092 + 0.00339593i
\(489\) 2.55915i 0.115729i
\(490\) −7.11944 6.87849i −0.321624 0.310738i
\(491\) −14.2945 −0.645102 −0.322551 0.946552i \(-0.604540\pi\)
−0.322551 + 0.946552i \(0.604540\pi\)
\(492\) −1.28110 + 0.617091i −0.0577564 + 0.0278206i
\(493\) 5.84398 + 10.1221i 0.263200 + 0.455875i
\(494\) 6.61829 1.51090i 0.297771 0.0679788i
\(495\) −10.6543 + 18.4538i −0.478877 + 0.829439i
\(496\) 0.0981564 + 0.249962i 0.00440735 + 0.0112236i
\(497\) −9.10508 30.6142i −0.408419 1.37324i
\(498\) −13.5069 4.16565i −0.605260 0.186667i
\(499\) 0.248745 0.430838i 0.0111353 0.0192870i −0.860404 0.509612i \(-0.829789\pi\)
0.871539 + 0.490326i \(0.163122\pi\)
\(500\) −0.149275 + 1.99442i −0.00667578 + 0.0891932i
\(501\) −9.60274 + 5.54414i −0.429019 + 0.247694i
\(502\) 17.6988 + 19.0730i 0.789935 + 0.851268i
\(503\) 14.1052 0.628918 0.314459 0.949271i \(-0.398177\pi\)
0.314459 + 0.949271i \(0.398177\pi\)
\(504\) 43.9513 20.6281i 1.95775 0.918850i
\(505\) −11.3170 −0.503602
\(506\) 3.98786 + 4.29749i 0.177282 + 0.191047i
\(507\) −85.8130 + 49.5441i −3.81109 + 2.20033i
\(508\) −32.8336 2.45747i −1.45675 0.109033i
\(509\) 13.9373 24.1401i 0.617760 1.06999i −0.372133 0.928179i \(-0.621374\pi\)
0.989894 0.141813i \(-0.0452930\pi\)
\(510\) 15.9785 + 4.92790i 0.707539 + 0.218211i
\(511\) 8.18651 8.64586i 0.362150 0.382470i
\(512\) 20.3825 9.82619i 0.900787 0.434260i
\(513\) 3.83680 6.64553i 0.169399 0.293407i
\(514\) −41.2483 + 9.41666i −1.81938 + 0.415351i
\(515\) 0.346486 + 0.600132i 0.0152680 + 0.0264450i
\(516\) 26.9034 + 55.8522i 1.18436 + 2.45876i
\(517\) −27.8120 −1.22317
\(518\) −1.87685 + 1.05854i −0.0824641 + 0.0465097i
\(519\) 32.5785i 1.43004i
\(520\) 18.7965 2.83580i 0.824282 0.124358i
\(521\) 14.0644 8.12006i 0.616171 0.355746i −0.159206 0.987245i \(-0.550893\pi\)
0.775377 + 0.631499i \(0.217560\pi\)
\(522\) 27.2374 6.21808i 1.19215 0.272158i
\(523\) −3.56646 2.05910i −0.155950 0.0900380i 0.419994 0.907527i \(-0.362032\pi\)
−0.575944 + 0.817489i \(0.695366\pi\)
\(524\) −0.580580 + 0.851724i −0.0253628 + 0.0372078i
\(525\) −7.92650 1.89374i −0.345941 0.0826497i
\(526\) 8.33144 27.0143i 0.363268 1.17788i
\(527\) −0.223177 0.128851i −0.00972175 0.00561285i
\(528\) −31.6426 25.2245i −1.37707 1.09776i
\(529\) −10.7034 18.5388i −0.465365 0.806036i
\(530\) 2.40943 + 2.59650i 0.104659 + 0.112785i
\(531\) 7.38993i 0.320696i
\(532\) 1.15014 3.60014i 0.0498650 0.156086i
\(533\) 1.55130i 0.0671943i
\(534\) 49.0933 45.5562i 2.12447 1.97141i
\(535\) −2.55924 4.43274i −0.110646 0.191644i
\(536\) −14.3155 + 36.4903i −0.618336 + 1.57614i
\(537\) −49.8335 28.7714i −2.15047 1.24158i
\(538\) 32.2020 + 9.93135i 1.38833 + 0.428171i
\(539\) −20.5076 10.3922i −0.883324 0.447625i
\(540\) 12.1027 17.7549i 0.520817 0.764051i
\(541\) −5.94834 3.43428i −0.255739 0.147651i 0.366650 0.930359i \(-0.380505\pi\)
−0.622389 + 0.782708i \(0.713838\pi\)
\(542\) −6.25929 27.4179i −0.268859 1.17770i
\(543\) −46.2106 + 26.6797i −1.98309 + 1.14494i
\(544\) −9.41680 + 19.5658i −0.403742 + 0.838877i
\(545\) 12.2540i 0.524902i
\(546\) −0.780060 + 77.4547i −0.0333835 + 3.31476i
\(547\) −25.9783 −1.11075 −0.555376 0.831599i \(-0.687426\pi\)
−0.555376 + 0.831599i \(0.687426\pi\)
\(548\) 15.2129 7.32787i 0.649861 0.313031i
\(549\) −0.576753 0.998965i −0.0246152 0.0426348i
\(550\) 1.03377 + 4.52827i 0.0440800 + 0.193086i
\(551\) 1.08740 1.88342i 0.0463246 0.0802365i
\(552\) −6.85759 8.59669i −0.291879 0.365900i
\(553\) 28.7234 + 6.86239i 1.22144 + 0.291819i
\(554\) 8.24450 26.7324i 0.350275 1.13575i
\(555\) −0.886943 + 1.53623i −0.0376486 + 0.0652093i
\(556\) −38.1009 2.85171i −1.61584 0.120939i
\(557\) −6.50339 + 3.75473i −0.275557 + 0.159093i −0.631410 0.775449i \(-0.717524\pi\)
0.355853 + 0.934542i \(0.384190\pi\)
\(558\) −0.451537 + 0.419004i −0.0191151 + 0.0177378i
\(559\) −67.6322 −2.86054
\(560\) 3.96405 9.81256i 0.167512 0.414656i
\(561\) 38.8329 1.63953
\(562\) −10.2773 + 9.53679i −0.433520 + 0.402285i
\(563\) 25.3072 14.6111i 1.06657 0.615786i 0.139329 0.990246i \(-0.455505\pi\)
0.927243 + 0.374460i \(0.122172\pi\)
\(564\) 52.0219 + 3.89364i 2.19052 + 0.163952i
\(565\) −3.29176 + 5.70150i −0.138486 + 0.239864i
\(566\) 11.2379 36.4382i 0.472362 1.53161i
\(567\) 26.1848 + 24.7936i 1.09966 + 1.04123i
\(568\) 26.6925 21.2927i 1.11999 0.893420i
\(569\) 21.0499 36.4596i 0.882460 1.52847i 0.0338620 0.999427i \(-0.489219\pi\)
0.848598 0.529039i \(-0.177447\pi\)
\(570\) −0.692474 3.03328i −0.0290045 0.127050i
\(571\) −13.3062 23.0470i −0.556846 0.964485i −0.997757 0.0669348i \(-0.978678\pi\)
0.440911 0.897551i \(-0.354655\pi\)
\(572\) 39.7731 19.1583i 1.66300 0.801047i
\(573\) 25.8279 1.07897
\(574\) −0.743560 0.439338i −0.0310356 0.0183376i
\(575\) 1.26222i 0.0526382i
\(576\) 38.0579 + 35.2928i 1.58574 + 1.47053i
\(577\) 25.7918 14.8909i 1.07373 0.619916i 0.144528 0.989501i \(-0.453833\pi\)
0.929197 + 0.369585i \(0.120500\pi\)
\(578\) 0.713151 + 3.12385i 0.0296632 + 0.129935i
\(579\) −23.0712 13.3202i −0.958808 0.553568i
\(580\) 3.43005 5.03197i 0.142425 0.208941i
\(581\) −2.44732 8.22867i −0.101532 0.341383i
\(582\) −24.0000 7.40181i −0.994833 0.306815i
\(583\) 7.12423 + 4.11317i 0.295055 + 0.170350i
\(584\) 11.8496 + 4.64871i 0.490338 + 0.192365i
\(585\) 21.8020 + 37.7622i 0.901403 + 1.56128i
\(586\) 2.12342 1.97043i 0.0877179 0.0813979i
\(587\) 25.4403i 1.05003i 0.851092 + 0.525017i \(0.175941\pi\)
−0.851092 + 0.525017i \(0.824059\pi\)
\(588\) 36.9042 + 22.3095i 1.52190 + 0.920030i
\(589\) 0.0479510i 0.00197579i
\(590\) −1.09569 1.18077i −0.0451090 0.0486114i
\(591\) −14.9442 25.8841i −0.614721 1.06473i
\(592\) −1.80126 1.43591i −0.0740314 0.0590156i
\(593\) −12.1719 7.02748i −0.499842 0.288584i 0.228806 0.973472i \(-0.426518\pi\)
−0.728648 + 0.684888i \(0.759851\pi\)
\(594\) 14.7067 47.6859i 0.603425 1.95658i
\(595\) 2.89513 + 9.73438i 0.118689 + 0.399071i
\(596\) 7.33782 10.7647i 0.300569 0.440941i
\(597\) −1.01060 0.583471i −0.0413612 0.0238799i
\(598\) 11.6960 2.67011i 0.478286 0.109189i
\(599\) −5.81502 + 3.35730i −0.237595 + 0.137176i −0.614071 0.789251i \(-0.710469\pi\)
0.376476 + 0.926426i \(0.377136\pi\)
\(600\) −1.29970 8.61478i −0.0530599 0.351697i
\(601\) 2.72540i 0.111171i 0.998454 + 0.0555856i \(0.0177026\pi\)
−0.998454 + 0.0555856i \(0.982297\pi\)
\(602\) −19.1539 + 32.4171i −0.780653 + 1.32122i
\(603\) −89.9135 −3.66156
\(604\) 6.20417 + 12.8800i 0.252444 + 0.524081i
\(605\) −0.106534 0.184523i −0.00433124 0.00750193i
\(606\) 48.0620 10.9722i 1.95239 0.445715i
\(607\) 16.0138 27.7367i 0.649979 1.12580i −0.333148 0.942875i \(-0.608111\pi\)
0.983127 0.182923i \(-0.0585559\pi\)
\(608\) 4.02897 0.302871i 0.163396 0.0122830i
\(609\) 18.0188 + 17.0615i 0.730159 + 0.691366i
\(610\) −0.240269 0.0741009i −0.00972820 0.00300026i
\(611\) −28.4559 + 49.2871i −1.15120 + 1.99394i
\(612\) −49.6694 3.71757i −2.00777 0.150274i
\(613\) −26.3757 + 15.2280i −1.06530 + 0.615054i −0.926895 0.375321i \(-0.877532\pi\)
−0.138410 + 0.990375i \(0.544199\pi\)
\(614\) −7.30308 7.87011i −0.294728 0.317612i
\(615\) −0.710988 −0.0286698
\(616\) 2.08116 24.4895i 0.0838521 0.986711i
\(617\) 25.2200 1.01532 0.507660 0.861557i \(-0.330511\pi\)
0.507660 + 0.861557i \(0.330511\pi\)
\(618\) −2.05333 2.21275i −0.0825969 0.0890100i
\(619\) 1.07430 0.620250i 0.0431800 0.0249300i −0.478255 0.878221i \(-0.658730\pi\)
0.521435 + 0.853291i \(0.325397\pi\)
\(620\) −0.0100217 + 0.133897i −0.000402481 + 0.00537744i
\(621\) 6.78050 11.7442i 0.272092 0.471277i
\(622\) −23.8965 7.36988i −0.958163 0.295505i
\(623\) 39.5640 + 9.45235i 1.58510 + 0.378700i
\(624\) −77.0770 + 30.2670i −3.08555 + 1.21165i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 18.3948 4.19939i 0.735204 0.167842i
\(627\) −3.61283 6.25761i −0.144283 0.249905i
\(628\) −41.6854 + 20.0794i −1.66343 + 0.801256i
\(629\) 2.21057 0.0881411
\(630\) 24.2744 + 0.244472i 0.967117 + 0.00974001i
\(631\) 8.73486i 0.347729i 0.984770 + 0.173865i \(0.0556255\pi\)
−0.984770 + 0.173865i \(0.944374\pi\)
\(632\) 4.70974 + 31.2175i 0.187343 + 1.24177i
\(633\) −3.13620 + 1.81069i −0.124653 + 0.0719683i
\(634\) −1.65459 + 0.377730i −0.0657121 + 0.0150016i
\(635\) −14.2571 8.23136i −0.565777 0.326651i
\(636\) −12.7499 8.69101i −0.505567 0.344621i
\(637\) −39.3990 + 25.7098i −1.56105 + 1.01866i
\(638\) 4.16807 13.5148i 0.165015 0.535055i
\(639\) 67.8293 + 39.1613i 2.68329 + 1.54920i
\(640\) 11.3137 0.00367857i 0.447214 0.000145408i
\(641\) 10.1834 + 17.6382i 0.402220 + 0.696665i 0.993994 0.109439i \(-0.0349054\pi\)
−0.591774 + 0.806104i \(0.701572\pi\)
\(642\) 15.1664 + 16.3440i 0.598571 + 0.645046i
\(643\) 20.9423i 0.825884i 0.910757 + 0.412942i \(0.135499\pi\)
−0.910757 + 0.412942i \(0.864501\pi\)
\(644\) 2.03256 6.36226i 0.0800942 0.250708i
\(645\) 30.9970i 1.22051i
\(646\) −2.84209 + 2.63732i −0.111821 + 0.103764i
\(647\) 9.88308 + 17.1180i 0.388544 + 0.672978i 0.992254 0.124226i \(-0.0396448\pi\)
−0.603710 + 0.797204i \(0.706311\pi\)
\(648\) −14.0790 + 35.8875i −0.553077 + 1.40980i
\(649\) −3.23976 1.87048i −0.127172 0.0734226i
\(650\) 9.08249 + 2.80111i 0.356244 + 0.109869i
\(651\) −0.532152 0.127138i −0.0208567 0.00498293i
\(652\) 1.37301 + 0.935914i 0.0537711 + 0.0366532i
\(653\) −33.9904 19.6243i −1.33015 0.767960i −0.344824 0.938667i \(-0.612061\pi\)
−0.985322 + 0.170708i \(0.945395\pi\)
\(654\) 11.8806 + 52.0410i 0.464567 + 2.03496i
\(655\) −0.446341 + 0.257695i −0.0174400 + 0.0100690i
\(656\) 0.137439 0.912999i 0.00536609 0.0356466i
\(657\) 29.1978i 1.13911i
\(658\) 15.5651 + 27.5977i 0.606791 + 1.07587i
\(659\) 43.0875 1.67845 0.839225 0.543785i \(-0.183009\pi\)
0.839225 + 0.543785i \(0.183009\pi\)
\(660\) −8.78056 18.2287i −0.341783 0.709551i
\(661\) −4.37780 7.58258i −0.170277 0.294928i 0.768240 0.640162i \(-0.221133\pi\)
−0.938517 + 0.345234i \(0.887800\pi\)
\(662\) 1.89680 + 8.30863i 0.0737211 + 0.322924i
\(663\) 39.7320 68.8178i 1.54306 2.67266i
\(664\) 7.17456 5.72316i 0.278427 0.222102i
\(665\) 1.29927 1.37217i 0.0503835 0.0532105i
\(666\) 1.55725 5.04931i 0.0603421 0.195657i
\(667\) 1.92167 3.32844i 0.0744076 0.128878i
\(668\) 0.537360 7.17952i 0.0207911 0.277784i
\(669\) 21.2858 12.2894i 0.822956 0.475134i
\(670\) −14.3664 + 13.3313i −0.555023 + 0.515034i
\(671\) −0.583931 −0.0225424
\(672\) −7.32127 + 45.5159i −0.282424 + 1.75581i
\(673\) −13.0780 −0.504121 −0.252060 0.967712i \(-0.581108\pi\)
−0.252060 + 0.967712i \(0.581108\pi\)
\(674\) −17.9469 + 16.6538i −0.691288 + 0.641482i
\(675\) 9.30437 5.37188i 0.358125 0.206764i
\(676\) 4.80201 64.1583i 0.184693 2.46763i
\(677\) 13.8738 24.0302i 0.533215 0.923555i −0.466033 0.884767i \(-0.654317\pi\)
0.999247 0.0387876i \(-0.0123496\pi\)
\(678\) 8.45193 27.4050i 0.324594 1.05248i
\(679\) −4.34855 14.6212i −0.166882 0.561112i
\(680\) −8.48739 + 6.77040i −0.325477 + 0.259633i
\(681\) 9.63849 16.6944i 0.369348 0.639729i
\(682\) 0.0694029 + 0.304009i 0.00265758 + 0.0116411i
\(683\) 23.1088 + 40.0257i 0.884235 + 1.53154i 0.846587 + 0.532250i \(0.178653\pi\)
0.0376480 + 0.999291i \(0.488013\pi\)
\(684\) 4.02196 + 8.34969i 0.153783 + 0.319259i
\(685\) 8.44288 0.322586
\(686\) 1.16500 + 26.1657i 0.0444797 + 0.999010i
\(687\) 42.9626i 1.63913i
\(688\) −39.8041 5.99194i −1.51752 0.228441i
\(689\) 14.5784 8.41682i 0.555391 0.320655i
\(690\) −1.22376 5.36049i −0.0465877 0.204070i
\(691\) −13.6210 7.86409i −0.518167 0.299164i 0.218017 0.975945i \(-0.430041\pi\)
−0.736184 + 0.676781i \(0.763374\pi\)
\(692\) −17.4786 11.9144i −0.664438 0.452916i
\(693\) 54.0381 16.0717i 2.05274 0.610512i
\(694\) −5.61352 1.73126i −0.213086 0.0657176i
\(695\) −16.5443 9.55187i −0.627562 0.362323i
\(696\) −9.68835 + 24.6956i −0.367236 + 0.936086i
\(697\) 0.443007 + 0.767311i 0.0167801 + 0.0290640i
\(698\) 12.5458 11.6419i 0.474867 0.440654i
\(699\) 0.171218i 0.00647607i
\(700\) 3.91483 3.56007i 0.147967 0.134558i
\(701\) 36.4270i 1.37583i −0.725792 0.687914i \(-0.758526\pi\)
0.725792 0.687914i \(-0.241474\pi\)
\(702\) −69.4595 74.8526i −2.62158 2.82513i
\(703\) −0.205661 0.356216i −0.00775666 0.0134349i
\(704\) 25.1053 7.75162i 0.946191 0.292150i
\(705\) 22.5891 + 13.0418i 0.850756 + 0.491184i
\(706\) 5.03627 16.3299i 0.189542 0.614583i
\(707\) 21.7419 + 20.5868i 0.817690 + 0.774247i
\(708\) 5.79806 + 3.95226i 0.217904 + 0.148535i
\(709\) 28.0338 + 16.1853i 1.05283 + 0.607853i 0.923441 0.383741i \(-0.125364\pi\)
0.129391 + 0.991594i \(0.458698\pi\)
\(710\) 16.6442 3.79974i 0.624645 0.142602i
\(711\) −62.7161 + 36.2091i −2.35204 + 1.35795i
\(712\) 6.48725 + 42.9994i 0.243120 + 1.61147i
\(713\) 0.0847403i 0.00317355i
\(714\) −21.7330 38.5337i −0.813338 1.44209i
\(715\) 22.0734 0.825497
\(716\) 33.6608 16.2141i 1.25796 0.605948i
\(717\) 12.1799 + 21.0962i 0.454868 + 0.787854i
\(718\) −14.1517 + 3.23073i −0.528137 + 0.120570i
\(719\) 0.853166 1.47773i 0.0318177 0.0551099i −0.849678 0.527302i \(-0.823204\pi\)
0.881496 + 0.472192i \(0.156537\pi\)
\(720\) 9.48574 + 24.1561i 0.353513 + 0.900244i
\(721\) 0.426040 1.78325i 0.0158666 0.0664116i
\(722\) −24.9873 7.70628i −0.929930 0.286798i
\(723\) 20.6683 35.7985i 0.768662 1.33136i
\(724\) 2.58590 34.5495i 0.0961042 1.28402i
\(725\) 2.63697 1.52246i 0.0979346 0.0565426i
\(726\) 0.631338 + 0.680358i 0.0234312 + 0.0252504i
\(727\) −13.8129 −0.512293 −0.256146 0.966638i \(-0.582453\pi\)
−0.256146 + 0.966638i \(0.582453\pi\)
\(728\) −41.2699 28.7447i −1.52956 1.06535i
\(729\) 10.8521 0.401930
\(730\) 4.32911 + 4.66524i 0.160228 + 0.172668i
\(731\) 33.4525 19.3138i 1.23729 0.714347i
\(732\) 1.09223 + 0.0817495i 0.0403701 + 0.00302155i
\(733\) 17.7219 30.6952i 0.654574 1.13375i −0.327427 0.944876i \(-0.606182\pi\)
0.982001 0.188878i \(-0.0604851\pi\)
\(734\) 25.0572 + 7.72783i 0.924876 + 0.285240i
\(735\) 11.7832 + 18.0573i 0.434631 + 0.666052i
\(736\) 7.12011 0.535241i 0.262451 0.0197293i
\(737\) −22.7581 + 39.4182i −0.838307 + 1.45199i
\(738\) 2.06475 0.471366i 0.0760043 0.0173512i
\(739\) 14.3056 + 24.7780i 0.526240 + 0.911474i 0.999533 + 0.0305688i \(0.00973187\pi\)
−0.473293 + 0.880905i \(0.656935\pi\)
\(740\) −0.499835 1.03767i −0.0183743 0.0381456i
\(741\) −14.7859 −0.543175
\(742\) 0.0943801 9.37131i 0.00346480 0.344031i
\(743\) 21.9551i 0.805456i −0.915320 0.402728i \(-0.868062\pi\)
0.915320 0.402728i \(-0.131938\pi\)
\(744\) −0.0872563 0.578361i −0.00319897 0.0212037i
\(745\) 5.64120 3.25695i 0.206678 0.119325i
\(746\) −36.7293 + 8.38502i −1.34476 + 0.306997i
\(747\) 18.2316 + 10.5260i 0.667058 + 0.385126i
\(748\) −14.2017 + 20.8342i −0.519264 + 0.761773i
\(749\) −3.14685 + 13.1715i −0.114983 + 0.481277i
\(750\) 1.28380 4.16266i 0.0468777 0.151999i
\(751\) −2.09527 1.20971i −0.0764576 0.0441428i 0.461284 0.887253i \(-0.347389\pi\)
−0.537741 + 0.843110i \(0.680722\pi\)
\(752\) −21.1140 + 26.4862i −0.769949 + 0.965854i
\(753\) −28.3363 49.0799i −1.03263 1.78857i
\(754\) −19.6857 21.2141i −0.716910 0.772573i
\(755\) 7.14820i 0.260150i
\(756\) −55.5493 + 12.0942i −2.02031 + 0.439863i
\(757\) 12.1295i 0.440854i −0.975403 0.220427i \(-0.929255\pi\)
0.975403 0.220427i \(-0.0707451\pi\)
\(758\) −25.6085 + 23.7634i −0.930143 + 0.863127i
\(759\) −6.38470 11.0586i −0.231750 0.401403i
\(760\) 1.88063 + 0.737789i 0.0682175 + 0.0267624i
\(761\) −28.8033 16.6296i −1.04412 0.602823i −0.123122 0.992392i \(-0.539291\pi\)
−0.920997 + 0.389569i \(0.872624\pi\)
\(762\) 68.5287 + 21.1348i 2.48253 + 0.765634i
\(763\) −22.2911 + 23.5419i −0.806994 + 0.852274i
\(764\) −9.44558 + 13.8569i −0.341729 + 0.501324i
\(765\) −21.5676 12.4521i −0.779779 0.450206i
\(766\) 5.99604 + 26.2648i 0.216646 + 0.948984i
\(767\) −6.62954 + 3.82757i −0.239379 + 0.138205i
\(768\) −48.0443 + 10.9846i −1.73365 + 0.396372i
\(769\) 32.8673i 1.18523i −0.805487 0.592613i \(-0.798096\pi\)
0.805487 0.592613i \(-0.201904\pi\)
\(770\) 6.25131 10.5801i 0.225282 0.381280i
\(771\) 92.1529 3.31881
\(772\) 15.5838 7.50657i 0.560875 0.270167i
\(773\) −13.9148 24.1011i −0.500480 0.866857i −1.00000 0.000554379i \(-0.999824\pi\)
0.499520 0.866302i \(-0.333510\pi\)