Properties

Label 273.2.r.b.68.1
Level $273$
Weight $2$
Character 273.68
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.r (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 68.1
Character \(\chi\) \(=\) 273.68
Dual form 273.2.r.b.269.32

$q$-expansion

\(f(q)\) \(=\) \(q-2.73146i q^{2} +(-1.52761 + 0.816332i) q^{3} -5.46085 q^{4} +(0.121221 - 0.209960i) q^{5} +(2.22977 + 4.17261i) q^{6} +(-2.13335 + 1.56488i) q^{7} +9.45317i q^{8} +(1.66721 - 2.49408i) q^{9} +O(q^{10})\) \(q-2.73146i q^{2} +(-1.52761 + 0.816332i) q^{3} -5.46085 q^{4} +(0.121221 - 0.209960i) q^{5} +(2.22977 + 4.17261i) q^{6} +(-2.13335 + 1.56488i) q^{7} +9.45317i q^{8} +(1.66721 - 2.49408i) q^{9} +(-0.573498 - 0.331109i) q^{10} +(4.30944 + 2.48805i) q^{11} +(8.34207 - 4.45787i) q^{12} +(-3.55884 + 0.578487i) q^{13} +(4.27439 + 5.82714i) q^{14} +(-0.0137810 + 0.419695i) q^{15} +14.8992 q^{16} -3.50135 q^{17} +(-6.81247 - 4.55390i) q^{18} +(-1.51336 + 0.873740i) q^{19} +(-0.661968 + 1.14656i) q^{20} +(1.98147 - 4.13204i) q^{21} +(6.79601 - 11.7710i) q^{22} +2.82905i q^{23} +(-7.71692 - 14.4408i) q^{24} +(2.47061 + 4.27922i) q^{25} +(1.58011 + 9.72082i) q^{26} +(-0.510850 + 5.17098i) q^{27} +(11.6499 - 8.54556i) q^{28} +(-0.841553 + 0.485871i) q^{29} +(1.14638 + 0.0376423i) q^{30} +(-4.95063 + 2.85824i) q^{31} -21.7902i q^{32} +(-8.61423 - 0.282856i) q^{33} +9.56379i q^{34} +(0.0699564 + 0.637614i) q^{35} +(-9.10436 + 13.6198i) q^{36} -6.98982 q^{37} +(2.38658 + 4.13368i) q^{38} +(4.96430 - 3.78890i) q^{39} +(1.98479 + 1.14592i) q^{40} +(-0.800378 - 1.38629i) q^{41} +(-11.2865 - 5.41230i) q^{42} +(-1.17144 + 2.02899i) q^{43} +(-23.5332 - 13.5869i) q^{44} +(-0.321558 - 0.652381i) q^{45} +7.72743 q^{46} +(0.0888026 - 0.153811i) q^{47} +(-22.7602 + 12.1627i) q^{48} +(2.10233 - 6.67684i) q^{49} +(11.6885 - 6.74837i) q^{50} +(5.34871 - 2.85827i) q^{51} +(19.4343 - 3.15903i) q^{52} +(-3.86514 + 2.23154i) q^{53} +(14.1243 + 1.39536i) q^{54} +(1.04479 - 0.603207i) q^{55} +(-14.7930 - 20.1669i) q^{56} +(1.59857 - 2.57014i) q^{57} +(1.32713 + 2.29866i) q^{58} +2.71484 q^{59} +(0.0752562 - 2.29189i) q^{60} +(-7.71171 + 4.45236i) q^{61} +(7.80717 + 13.5224i) q^{62} +(0.346198 + 7.92970i) q^{63} -29.7205 q^{64} +(-0.309946 + 0.817341i) q^{65} +(-0.772608 + 23.5294i) q^{66} +(-0.643071 + 1.11383i) q^{67} +19.1204 q^{68} +(-2.30944 - 4.32170i) q^{69} +(1.74161 - 0.191083i) q^{70} +(3.46933 + 2.00302i) q^{71} +(23.5769 + 15.7604i) q^{72} +(2.79901 - 1.61601i) q^{73} +19.0924i q^{74} +(-7.26740 - 4.52016i) q^{75} +(8.26425 - 4.77137i) q^{76} +(-13.0870 + 1.43585i) q^{77} +(-10.3492 - 13.5598i) q^{78} +(1.62940 - 2.82221i) q^{79} +(1.80609 - 3.12824i) q^{80} +(-3.44085 - 8.31628i) q^{81} +(-3.78660 + 2.18620i) q^{82} +11.4444 q^{83} +(-10.8205 + 22.5645i) q^{84} +(-0.424437 + 0.735146i) q^{85} +(5.54210 + 3.19973i) q^{86} +(0.888936 - 1.42921i) q^{87} +(-23.5200 + 40.7378i) q^{88} -9.74621 q^{89} +(-1.78195 + 0.878322i) q^{90} +(6.68698 - 6.80326i) q^{91} -15.4490i q^{92} +(5.22937 - 8.40765i) q^{93} +(-0.420127 - 0.242560i) q^{94} +0.423662i q^{95} +(17.7880 + 33.2870i) q^{96} +(4.44012 + 2.56350i) q^{97} +(-18.2375 - 5.74241i) q^{98} +(13.3901 - 6.59997i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q - 64 q^{4} + 12 q^{6} - 10 q^{7} - 4 q^{9} - 6 q^{10} + 6 q^{12} + 12 q^{13} - 9 q^{15} + 32 q^{16} + 2 q^{18} - 36 q^{19} + 10 q^{21} + 10 q^{22} - 18 q^{24} - 24 q^{25} - 14 q^{28} + 8 q^{30} - 24 q^{31} - 45 q^{33} + 33 q^{39} + 90 q^{40} + 3 q^{42} - 20 q^{43} - 6 q^{48} - 6 q^{49} - 10 q^{51} - 48 q^{52} - 18 q^{55} + 4 q^{57} + 30 q^{58} + 55 q^{60} - 18 q^{61} + 31 q^{63} - 84 q^{64} + 75 q^{66} + 44 q^{67} + 33 q^{69} + 20 q^{70} + 17 q^{72} + 84 q^{73} - 18 q^{76} - 71 q^{78} + 20 q^{79} + 16 q^{81} - 18 q^{82} - 135 q^{84} - 2 q^{85} - 46 q^{88} - 10 q^{91} - 56 q^{93} + 36 q^{94} + 30 q^{96} - 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.73146i 1.93143i −0.259603 0.965716i \(-0.583592\pi\)
0.259603 0.965716i \(-0.416408\pi\)
\(3\) −1.52761 + 0.816332i −0.881968 + 0.471309i
\(4\) −5.46085 −2.73043
\(5\) 0.121221 0.209960i 0.0542116 0.0938972i −0.837646 0.546213i \(-0.816069\pi\)
0.891858 + 0.452316i \(0.149402\pi\)
\(6\) 2.22977 + 4.17261i 0.910301 + 1.70346i
\(7\) −2.13335 + 1.56488i −0.806329 + 0.591468i
\(8\) 9.45317i 3.34220i
\(9\) 1.66721 2.49408i 0.555735 0.831359i
\(10\) −0.573498 0.331109i −0.181356 0.104706i
\(11\) 4.30944 + 2.48805i 1.29934 + 0.750176i 0.980291 0.197560i \(-0.0633018\pi\)
0.319053 + 0.947737i \(0.396635\pi\)
\(12\) 8.34207 4.45787i 2.40815 1.28688i
\(13\) −3.55884 + 0.578487i −0.987045 + 0.160444i
\(14\) 4.27439 + 5.82714i 1.14238 + 1.55737i
\(15\) −0.0137810 + 0.419695i −0.00355825 + 0.108365i
\(16\) 14.8992 3.72480
\(17\) −3.50135 −0.849203 −0.424601 0.905380i \(-0.639586\pi\)
−0.424601 + 0.905380i \(0.639586\pi\)
\(18\) −6.81247 4.55390i −1.60571 1.07336i
\(19\) −1.51336 + 0.873740i −0.347189 + 0.200450i −0.663447 0.748224i \(-0.730907\pi\)
0.316257 + 0.948673i \(0.397574\pi\)
\(20\) −0.661968 + 1.14656i −0.148021 + 0.256379i
\(21\) 1.98147 4.13204i 0.432392 0.901686i
\(22\) 6.79601 11.7710i 1.44891 2.50959i
\(23\) 2.82905i 0.589898i 0.955513 + 0.294949i \(0.0953026\pi\)
−0.955513 + 0.294949i \(0.904697\pi\)
\(24\) −7.71692 14.4408i −1.57521 2.94771i
\(25\) 2.47061 + 4.27922i 0.494122 + 0.855845i
\(26\) 1.58011 + 9.72082i 0.309886 + 1.90641i
\(27\) −0.510850 + 5.17098i −0.0983131 + 0.995156i
\(28\) 11.6499 8.54556i 2.20162 1.61496i
\(29\) −0.841553 + 0.485871i −0.156272 + 0.0902239i −0.576097 0.817381i \(-0.695425\pi\)
0.419825 + 0.907605i \(0.362092\pi\)
\(30\) 1.14638 + 0.0376423i 0.209299 + 0.00687251i
\(31\) −4.95063 + 2.85824i −0.889159 + 0.513356i −0.873667 0.486524i \(-0.838265\pi\)
−0.0154914 + 0.999880i \(0.504931\pi\)
\(32\) 21.7902i 3.85200i
\(33\) −8.61423 0.282856i −1.49954 0.0492388i
\(34\) 9.56379i 1.64018i
\(35\) 0.0699564 + 0.637614i 0.0118248 + 0.107776i
\(36\) −9.10436 + 13.6198i −1.51739 + 2.26997i
\(37\) −6.98982 −1.14912 −0.574560 0.818463i \(-0.694827\pi\)
−0.574560 + 0.818463i \(0.694827\pi\)
\(38\) 2.38658 + 4.13368i 0.387155 + 0.670572i
\(39\) 4.96430 3.78890i 0.794924 0.606710i
\(40\) 1.98479 + 1.14592i 0.313823 + 0.181186i
\(41\) −0.800378 1.38629i −0.124998 0.216503i 0.796734 0.604330i \(-0.206559\pi\)
−0.921732 + 0.387827i \(0.873226\pi\)
\(42\) −11.2865 5.41230i −1.74154 0.835135i
\(43\) −1.17144 + 2.02899i −0.178643 + 0.309418i −0.941416 0.337248i \(-0.890504\pi\)
0.762773 + 0.646666i \(0.223837\pi\)
\(44\) −23.5332 13.5869i −3.54776 2.04830i
\(45\) −0.321558 0.652381i −0.0479350 0.0972512i
\(46\) 7.72743 1.13935
\(47\) 0.0888026 0.153811i 0.0129532 0.0224356i −0.859476 0.511176i \(-0.829210\pi\)
0.872429 + 0.488740i \(0.162543\pi\)
\(48\) −22.7602 + 12.1627i −3.28515 + 1.75553i
\(49\) 2.10233 6.67684i 0.300332 0.953835i
\(50\) 11.6885 6.74837i 1.65301 0.954363i
\(51\) 5.34871 2.85827i 0.748970 0.400237i
\(52\) 19.4343 3.15903i 2.69505 0.438079i
\(53\) −3.86514 + 2.23154i −0.530918 + 0.306526i −0.741390 0.671074i \(-0.765833\pi\)
0.210472 + 0.977600i \(0.432500\pi\)
\(54\) 14.1243 + 1.39536i 1.92207 + 0.189885i
\(55\) 1.04479 0.603207i 0.140879 0.0813365i
\(56\) −14.7930 20.1669i −1.97680 2.69491i
\(57\) 1.59857 2.57014i 0.211736 0.340424i
\(58\) 1.32713 + 2.29866i 0.174261 + 0.301829i
\(59\) 2.71484 0.353442 0.176721 0.984261i \(-0.443451\pi\)
0.176721 + 0.984261i \(0.443451\pi\)
\(60\) 0.0752562 2.29189i 0.00971553 0.295882i
\(61\) −7.71171 + 4.45236i −0.987383 + 0.570066i −0.904491 0.426492i \(-0.859749\pi\)
−0.0828923 + 0.996559i \(0.526416\pi\)
\(62\) 7.80717 + 13.5224i 0.991512 + 1.71735i
\(63\) 0.346198 + 7.92970i 0.0436169 + 0.999048i
\(64\) −29.7205 −3.71506
\(65\) −0.309946 + 0.817341i −0.0384441 + 0.101379i
\(66\) −0.772608 + 23.5294i −0.0951014 + 2.89627i
\(67\) −0.643071 + 1.11383i −0.0785637 + 0.136076i −0.902630 0.430416i \(-0.858367\pi\)
0.824067 + 0.566493i \(0.191700\pi\)
\(68\) 19.1204 2.31869
\(69\) −2.30944 4.32170i −0.278024 0.520271i
\(70\) 1.74161 0.191083i 0.208163 0.0228388i
\(71\) 3.46933 + 2.00302i 0.411734 + 0.237715i 0.691535 0.722343i \(-0.256935\pi\)
−0.279800 + 0.960058i \(0.590268\pi\)
\(72\) 23.5769 + 15.7604i 2.77857 + 1.85738i
\(73\) 2.79901 1.61601i 0.327599 0.189140i −0.327175 0.944964i \(-0.606097\pi\)
0.654775 + 0.755824i \(0.272763\pi\)
\(74\) 19.0924i 2.21944i
\(75\) −7.26740 4.52016i −0.839168 0.521943i
\(76\) 8.26425 4.77137i 0.947974 0.547313i
\(77\) −13.0870 + 1.43585i −1.49140 + 0.163631i
\(78\) −10.3492 13.5598i −1.17182 1.53534i
\(79\) 1.62940 2.82221i 0.183322 0.317523i −0.759688 0.650288i \(-0.774648\pi\)
0.943010 + 0.332765i \(0.107982\pi\)
\(80\) 1.80609 3.12824i 0.201927 0.349748i
\(81\) −3.44085 8.31628i −0.382317 0.924031i
\(82\) −3.78660 + 2.18620i −0.418160 + 0.241425i
\(83\) 11.4444 1.25619 0.628095 0.778137i \(-0.283835\pi\)
0.628095 + 0.778137i \(0.283835\pi\)
\(84\) −10.8205 + 22.5645i −1.18061 + 2.46199i
\(85\) −0.424437 + 0.735146i −0.0460366 + 0.0797377i
\(86\) 5.54210 + 3.19973i 0.597620 + 0.345036i
\(87\) 0.888936 1.42921i 0.0953039 0.153227i
\(88\) −23.5200 + 40.7378i −2.50724 + 4.34266i
\(89\) −9.74621 −1.03310 −0.516548 0.856258i \(-0.672783\pi\)
−0.516548 + 0.856258i \(0.672783\pi\)
\(90\) −1.78195 + 0.878322i −0.187834 + 0.0925832i
\(91\) 6.68698 6.80326i 0.700986 0.713175i
\(92\) 15.4490i 1.61067i
\(93\) 5.22937 8.40765i 0.542260 0.871832i
\(94\) −0.420127 0.242560i −0.0433328 0.0250182i
\(95\) 0.423662i 0.0434668i
\(96\) 17.7880 + 33.2870i 1.81548 + 3.39734i
\(97\) 4.44012 + 2.56350i 0.450826 + 0.260284i 0.708179 0.706033i \(-0.249517\pi\)
−0.257353 + 0.966317i \(0.582850\pi\)
\(98\) −18.2375 5.74241i −1.84227 0.580071i
\(99\) 13.3901 6.59997i 1.34576 0.663322i
\(100\) −13.4916 23.3682i −1.34916 2.33682i
\(101\) 7.80998 13.5273i 0.777122 1.34601i −0.156472 0.987682i \(-0.550012\pi\)
0.933594 0.358332i \(-0.116655\pi\)
\(102\) −7.80723 14.6098i −0.773031 1.44658i
\(103\) −3.43624 1.98391i −0.338583 0.195481i 0.321062 0.947058i \(-0.395960\pi\)
−0.659645 + 0.751577i \(0.729293\pi\)
\(104\) −5.46854 33.6423i −0.536234 3.29890i
\(105\) −0.627371 0.916919i −0.0612251 0.0894822i
\(106\) 6.09536 + 10.5575i 0.592033 + 1.02543i
\(107\) 12.8178i 1.23914i 0.784942 + 0.619570i \(0.212693\pi\)
−0.784942 + 0.619570i \(0.787307\pi\)
\(108\) 2.78968 28.2380i 0.268437 2.71720i
\(109\) −5.46755 9.47008i −0.523696 0.907069i −0.999620 0.0275819i \(-0.991219\pi\)
0.475923 0.879487i \(-0.342114\pi\)
\(110\) −1.64763 2.85379i −0.157096 0.272098i
\(111\) 10.6777 5.70601i 1.01349 0.541591i
\(112\) −31.7851 + 23.3154i −3.00341 + 2.20310i
\(113\) −8.18524 4.72575i −0.770002 0.444561i 0.0628730 0.998022i \(-0.479974\pi\)
−0.832875 + 0.553460i \(0.813307\pi\)
\(114\) −7.02023 4.36643i −0.657505 0.408953i
\(115\) 0.593989 + 0.342940i 0.0553897 + 0.0319793i
\(116\) 4.59560 2.65327i 0.426690 0.246350i
\(117\) −4.49053 + 9.84049i −0.415149 + 0.909753i
\(118\) 7.41547i 0.682649i
\(119\) 7.46960 5.47918i 0.684737 0.502276i
\(120\) −3.96744 0.130274i −0.362176 0.0118924i
\(121\) 6.88082 + 11.9179i 0.625530 + 1.08345i
\(122\) 12.1614 + 21.0642i 1.10104 + 1.90706i
\(123\) 2.35434 + 1.46435i 0.212284 + 0.132036i
\(124\) 27.0346 15.6085i 2.42778 1.40168i
\(125\) 2.41016 0.215572
\(126\) 21.6596 0.945626i 1.92959 0.0842431i
\(127\) −9.34664 16.1889i −0.829380 1.43653i −0.898525 0.438922i \(-0.855360\pi\)
0.0691447 0.997607i \(-0.477973\pi\)
\(128\) 37.5999i 3.32340i
\(129\) 0.133176 4.05580i 0.0117255 0.357093i
\(130\) 2.23253 + 0.846603i 0.195806 + 0.0742520i
\(131\) −2.66426 + 4.61464i −0.232778 + 0.403183i −0.958624 0.284674i \(-0.908115\pi\)
0.725847 + 0.687856i \(0.241448\pi\)
\(132\) 47.0410 + 1.54463i 4.09440 + 0.134443i
\(133\) 1.86123 4.23221i 0.161389 0.366980i
\(134\) 3.04238 + 1.75652i 0.262822 + 0.151740i
\(135\) 1.02378 + 0.734088i 0.0881126 + 0.0631803i
\(136\) 33.0989i 2.83820i
\(137\) 4.97183i 0.424772i 0.977186 + 0.212386i \(0.0681234\pi\)
−0.977186 + 0.212386i \(0.931877\pi\)
\(138\) −11.8045 + 6.30814i −1.00487 + 0.536985i
\(139\) 7.04418 + 4.06696i 0.597480 + 0.344955i 0.768050 0.640390i \(-0.221227\pi\)
−0.170570 + 0.985346i \(0.554561\pi\)
\(140\) −0.382022 3.48191i −0.0322867 0.294275i
\(141\) −0.0100956 + 0.307456i −0.000850200 + 0.0258924i
\(142\) 5.47116 9.47633i 0.459130 0.795236i
\(143\) −16.7759 6.36163i −1.40287 0.531987i
\(144\) 24.8400 37.1598i 2.07000 3.09665i
\(145\) 0.235590i 0.0195647i
\(146\) −4.41406 7.64537i −0.365310 0.632736i
\(147\) 2.23898 + 11.9158i 0.184668 + 0.982801i
\(148\) 38.1704 3.13758
\(149\) 10.9774 6.33783i 0.899308 0.519216i 0.0223322 0.999751i \(-0.492891\pi\)
0.876976 + 0.480535i \(0.159558\pi\)
\(150\) −12.3466 + 19.8506i −1.00810 + 1.62079i
\(151\) −3.97440 6.88386i −0.323432 0.560200i 0.657762 0.753226i \(-0.271503\pi\)
−0.981194 + 0.193026i \(0.938170\pi\)
\(152\) −8.25961 14.3061i −0.669943 1.16038i
\(153\) −5.83747 + 8.73265i −0.471932 + 0.705993i
\(154\) 3.92197 + 35.7466i 0.316042 + 2.88054i
\(155\) 1.38591i 0.111319i
\(156\) −27.1093 + 20.6906i −2.17048 + 1.65658i
\(157\) −4.27648 + 2.46902i −0.341300 + 0.197050i −0.660847 0.750521i \(-0.729803\pi\)
0.319547 + 0.947571i \(0.396469\pi\)
\(158\) −7.70874 4.45064i −0.613274 0.354074i
\(159\) 4.08277 6.56417i 0.323784 0.520573i
\(160\) −4.57508 2.64142i −0.361692 0.208823i
\(161\) −4.42711 6.03534i −0.348905 0.475652i
\(162\) −22.7156 + 9.39854i −1.78470 + 0.738419i
\(163\) 1.21178 + 2.09886i 0.0949136 + 0.164395i 0.909573 0.415545i \(-0.136409\pi\)
−0.814659 + 0.579940i \(0.803076\pi\)
\(164\) 4.37074 + 7.57035i 0.341298 + 0.591145i
\(165\) −1.10361 + 1.77436i −0.0859160 + 0.138134i
\(166\) 31.2600i 2.42624i
\(167\) −0.976653 1.69161i −0.0755757 0.130901i 0.825761 0.564020i \(-0.190746\pi\)
−0.901336 + 0.433120i \(0.857413\pi\)
\(168\) 39.0609 + 18.7312i 3.01361 + 1.44514i
\(169\) 12.3307 4.11749i 0.948516 0.316730i
\(170\) 2.00802 + 1.15933i 0.154008 + 0.0889165i
\(171\) −0.343909 + 5.23115i −0.0262994 + 0.400036i
\(172\) 6.39705 11.0800i 0.487771 0.844844i
\(173\) 10.8559 + 18.8030i 0.825361 + 1.42957i 0.901643 + 0.432481i \(0.142362\pi\)
−0.0762821 + 0.997086i \(0.524305\pi\)
\(174\) −3.90382 2.42809i −0.295948 0.184073i
\(175\) −11.9671 5.26286i −0.904629 0.397835i
\(176\) 64.2071 + 37.0700i 4.83980 + 2.79426i
\(177\) −4.14723 + 2.21621i −0.311725 + 0.166581i
\(178\) 26.6213i 1.99535i
\(179\) −0.0452396 0.0261191i −0.00338137 0.00195223i 0.498308 0.867000i \(-0.333955\pi\)
−0.501690 + 0.865048i \(0.667288\pi\)
\(180\) 1.75598 + 3.56256i 0.130883 + 0.265537i
\(181\) 26.7193i 1.98603i 0.117984 + 0.993016i \(0.462357\pi\)
−0.117984 + 0.993016i \(0.537643\pi\)
\(182\) −18.5828 18.2652i −1.37745 1.35391i
\(183\) 8.14591 13.0968i 0.602163 0.968143i
\(184\) −26.7435 −1.97156
\(185\) −0.847311 + 1.46759i −0.0622955 + 0.107899i
\(186\) −22.9651 14.2838i −1.68388 1.04734i
\(187\) −15.0889 8.71156i −1.10341 0.637052i
\(188\) −0.484938 + 0.839937i −0.0353677 + 0.0612587i
\(189\) −7.00212 11.8309i −0.509329 0.860572i
\(190\) 1.15721 0.0839531
\(191\) −13.5363 + 7.81518i −0.979451 + 0.565486i −0.902104 0.431518i \(-0.857978\pi\)
−0.0773467 + 0.997004i \(0.524645\pi\)
\(192\) 45.4015 24.2618i 3.27657 1.75094i
\(193\) 1.29546 2.24380i 0.0932492 0.161512i −0.815627 0.578578i \(-0.803608\pi\)
0.908877 + 0.417065i \(0.136941\pi\)
\(194\) 7.00210 12.1280i 0.502721 0.870739i
\(195\) −0.193744 1.50160i −0.0138743 0.107532i
\(196\) −11.4805 + 36.4612i −0.820035 + 2.60437i
\(197\) 2.94058 1.69774i 0.209507 0.120959i −0.391575 0.920146i \(-0.628070\pi\)
0.601082 + 0.799187i \(0.294736\pi\)
\(198\) −18.0275 36.5745i −1.28116 2.59924i
\(199\) 20.8877i 1.48069i 0.672227 + 0.740345i \(0.265338\pi\)
−0.672227 + 0.740345i \(0.734662\pi\)
\(200\) −40.4522 + 23.3551i −2.86040 + 1.65145i
\(201\) 0.0731079 2.22646i 0.00515663 0.157043i
\(202\) −36.9492 21.3326i −2.59973 1.50096i
\(203\) 1.03500 2.35346i 0.0726424 0.165180i
\(204\) −29.2085 + 15.6086i −2.04501 + 1.09282i
\(205\) −0.388090 −0.0271053
\(206\) −5.41898 + 9.38594i −0.377558 + 0.653950i
\(207\) 7.05587 + 4.71661i 0.490417 + 0.327827i
\(208\) −53.0239 + 8.61900i −3.67655 + 0.597620i
\(209\) −8.69565 −0.601491
\(210\) −2.50453 + 1.71363i −0.172829 + 0.118252i
\(211\) 9.28611 + 16.0840i 0.639282 + 1.10727i 0.985591 + 0.169149i \(0.0541018\pi\)
−0.346308 + 0.938121i \(0.612565\pi\)
\(212\) 21.1070 12.1861i 1.44963 0.836946i
\(213\) −6.93493 0.227714i −0.475174 0.0156027i
\(214\) 35.0111 2.39331
\(215\) 0.284005 + 0.491912i 0.0193690 + 0.0335481i
\(216\) −48.8821 4.82915i −3.32601 0.328582i
\(217\) 6.08860 13.8447i 0.413321 0.939842i
\(218\) −25.8671 + 14.9344i −1.75194 + 1.01148i
\(219\) −2.95661 + 4.75356i −0.199789 + 0.321216i
\(220\) −5.70542 + 3.29403i −0.384659 + 0.222083i
\(221\) 12.4608 2.02549i 0.838201 0.136249i
\(222\) −15.5857 29.1658i −1.04604 1.95748i
\(223\) −2.36920 + 1.36786i −0.158653 + 0.0915985i −0.577225 0.816585i \(-0.695864\pi\)
0.418571 + 0.908184i \(0.362531\pi\)
\(224\) 34.0989 + 46.4860i 2.27833 + 3.10598i
\(225\) 14.7917 + 0.972447i 0.986116 + 0.0648298i
\(226\) −12.9082 + 22.3576i −0.858639 + 1.48721i
\(227\) 22.1250 1.46849 0.734245 0.678885i \(-0.237536\pi\)
0.734245 + 0.678885i \(0.237536\pi\)
\(228\) −8.72956 + 14.0352i −0.578129 + 0.929502i
\(229\) 16.2823 + 9.40060i 1.07597 + 0.621209i 0.929805 0.368052i \(-0.119975\pi\)
0.146160 + 0.989261i \(0.453309\pi\)
\(230\) 0.936724 1.62245i 0.0617658 0.106981i
\(231\) 18.8198 12.8768i 1.23825 0.847229i
\(232\) −4.59302 7.95534i −0.301546 0.522293i
\(233\) 19.5867 + 11.3084i 1.28317 + 0.740838i 0.977427 0.211276i \(-0.0677617\pi\)
0.305743 + 0.952114i \(0.401095\pi\)
\(234\) 26.8789 + 12.2657i 1.75713 + 0.801832i
\(235\) −0.0215294 0.0372901i −0.00140443 0.00243254i
\(236\) −14.8253 −0.965048
\(237\) −0.185239 + 5.64138i −0.0120326 + 0.366447i
\(238\) −14.9661 20.4029i −0.970111 1.32252i
\(239\) 27.8498i 1.80145i 0.434385 + 0.900727i \(0.356966\pi\)
−0.434385 + 0.900727i \(0.643034\pi\)
\(240\) −0.205326 + 6.25312i −0.0132538 + 0.403637i
\(241\) 17.1553i 1.10507i −0.833489 0.552535i \(-0.813660\pi\)
0.833489 0.552535i \(-0.186340\pi\)
\(242\) 32.5533 18.7947i 2.09261 1.20817i
\(243\) 12.0451 + 9.89518i 0.772696 + 0.634776i
\(244\) 42.1125 24.3137i 2.69598 1.55652i
\(245\) −1.14703 1.25078i −0.0732809 0.0799092i
\(246\) 3.99980 6.43079i 0.255018 0.410012i
\(247\) 4.88037 3.98496i 0.310530 0.253557i
\(248\) −27.0195 46.7991i −1.71574 2.97174i
\(249\) −17.4827 + 9.34245i −1.10792 + 0.592054i
\(250\) 6.58326i 0.416362i
\(251\) −1.46702 + 2.54096i −0.0925977 + 0.160384i −0.908603 0.417660i \(-0.862850\pi\)
0.816006 + 0.578044i \(0.196184\pi\)
\(252\) −1.89054 43.3029i −0.119093 2.72783i
\(253\) −7.03883 + 12.1916i −0.442527 + 0.766480i
\(254\) −44.2192 + 25.5299i −2.77456 + 1.60189i
\(255\) 0.0482523 1.46950i 0.00302167 0.0920236i
\(256\) 43.2615 2.70384
\(257\) −21.5186 −1.34229 −0.671145 0.741326i \(-0.734197\pi\)
−0.671145 + 0.741326i \(0.734197\pi\)
\(258\) −11.0782 0.363763i −0.689700 0.0226469i
\(259\) 14.9117 10.9382i 0.926568 0.679667i
\(260\) 1.69257 4.46338i 0.104969 0.276807i
\(261\) −0.191242 + 2.90894i −0.0118376 + 0.180059i
\(262\) 12.6047 + 7.27731i 0.778719 + 0.449594i
\(263\) 12.1728 + 7.02796i 0.750606 + 0.433363i 0.825913 0.563798i \(-0.190660\pi\)
−0.0753069 + 0.997160i \(0.523994\pi\)
\(264\) 2.67388 81.4317i 0.164566 5.01178i
\(265\) 1.08204i 0.0664690i
\(266\) −11.5601 5.08387i −0.708796 0.311712i
\(267\) 14.8884 7.95614i 0.911158 0.486908i
\(268\) 3.51172 6.08247i 0.214512 0.371546i
\(269\) 16.0303 0.977387 0.488693 0.872456i \(-0.337474\pi\)
0.488693 + 0.872456i \(0.337474\pi\)
\(270\) 2.00513 2.79640i 0.122028 0.170183i
\(271\) 5.02075i 0.304989i 0.988304 + 0.152494i \(0.0487306\pi\)
−0.988304 + 0.152494i \(0.951269\pi\)
\(272\) −52.1674 −3.16311
\(273\) −4.66140 + 15.8515i −0.282121 + 0.959379i
\(274\) 13.5803 0.820417
\(275\) 24.5881i 1.48272i
\(276\) 12.6115 + 23.6001i 0.759125 + 1.42056i
\(277\) −11.3840 −0.683998 −0.341999 0.939700i \(-0.611104\pi\)
−0.341999 + 0.939700i \(0.611104\pi\)
\(278\) 11.1087 19.2409i 0.666257 1.15399i
\(279\) −1.12502 + 17.1125i −0.0673533 + 1.02450i
\(280\) −6.02747 + 0.661309i −0.360210 + 0.0395208i
\(281\) 29.0630i 1.73376i −0.498521 0.866878i \(-0.666123\pi\)
0.498521 0.866878i \(-0.333877\pi\)
\(282\) 0.839801 + 0.0275756i 0.0500094 + 0.00164210i
\(283\) −19.7395 11.3966i −1.17339 0.677456i −0.218913 0.975744i \(-0.570251\pi\)
−0.954476 + 0.298288i \(0.903584\pi\)
\(284\) −18.9455 10.9382i −1.12421 0.649063i
\(285\) −0.345849 0.647191i −0.0204863 0.0383363i
\(286\) −17.3765 + 45.8227i −1.02750 + 2.70955i
\(287\) 3.87686 + 1.70495i 0.228844 + 0.100640i
\(288\) −54.3464 36.3287i −3.20239 2.14069i
\(289\) −4.74053 −0.278855
\(290\) 0.643505 0.0377879
\(291\) −8.87546 0.291433i −0.520288 0.0170841i
\(292\) −15.2850 + 8.82479i −0.894486 + 0.516432i
\(293\) 11.2367 19.4625i 0.656453 1.13701i −0.325075 0.945688i \(-0.605389\pi\)
0.981527 0.191321i \(-0.0612772\pi\)
\(294\) 32.5476 6.11567i 1.89821 0.356673i
\(295\) 0.329095 0.570009i 0.0191606 0.0331872i
\(296\) 66.0759i 3.84058i
\(297\) −15.0672 + 21.0130i −0.874285 + 1.21930i
\(298\) −17.3115 29.9844i −1.00283 1.73695i
\(299\) −1.63657 10.0681i −0.0946453 0.582256i
\(300\) 39.6862 + 24.6839i 2.29128 + 1.42513i
\(301\) −0.676036 6.16170i −0.0389661 0.355154i
\(302\) −18.8030 + 10.8559i −1.08199 + 0.624686i
\(303\) −0.887881 + 27.0400i −0.0510075 + 1.55341i
\(304\) −22.5479 + 13.0180i −1.29321 + 0.746635i
\(305\) 2.15887i 0.123617i
\(306\) 23.8528 + 15.9448i 1.36358 + 0.911504i
\(307\) 13.6897i 0.781311i 0.920537 + 0.390655i \(0.127752\pi\)
−0.920537 + 0.390655i \(0.872248\pi\)
\(308\) 71.4662 7.84099i 4.07217 0.446782i
\(309\) 6.86878 + 0.225542i 0.390751 + 0.0128307i
\(310\) 3.78556 0.215006
\(311\) −7.08147 12.2655i −0.401553 0.695511i 0.592360 0.805673i \(-0.298196\pi\)
−0.993914 + 0.110162i \(0.964863\pi\)
\(312\) 35.8171 + 46.9283i 2.02774 + 2.65679i
\(313\) −16.5156 9.53529i −0.933518 0.538967i −0.0455953 0.998960i \(-0.514518\pi\)
−0.887922 + 0.459993i \(0.847852\pi\)
\(314\) 6.74403 + 11.6810i 0.380588 + 0.659197i
\(315\) 1.70689 + 0.888556i 0.0961724 + 0.0500645i
\(316\) −8.89793 + 15.4117i −0.500548 + 0.866974i
\(317\) 0.960262 + 0.554408i 0.0539337 + 0.0311386i 0.526724 0.850036i \(-0.323420\pi\)
−0.472791 + 0.881175i \(0.656753\pi\)
\(318\) −17.9297 11.1519i −1.00545 0.625367i
\(319\) −4.83549 −0.270735
\(320\) −3.60274 + 6.24013i −0.201399 + 0.348834i
\(321\) −10.4635 19.5806i −0.584018 1.09288i
\(322\) −16.4853 + 12.0925i −0.918688 + 0.673887i
\(323\) 5.29882 3.05927i 0.294834 0.170223i
\(324\) 18.7900 + 45.4140i 1.04389 + 2.52300i
\(325\) −11.2680 13.7999i −0.625036 0.765479i
\(326\) 5.73294 3.30991i 0.317518 0.183319i
\(327\) 16.0830 + 10.0033i 0.889393 + 0.553183i
\(328\) 13.1049 7.56610i 0.723596 0.417768i
\(329\) 0.0512479 + 0.467096i 0.00282539 + 0.0257519i
\(330\) 4.84659 + 3.01447i 0.266796 + 0.165941i
\(331\) −7.57970 13.1284i −0.416618 0.721604i 0.578979 0.815343i \(-0.303451\pi\)
−0.995597 + 0.0937389i \(0.970118\pi\)
\(332\) −62.4963 −3.42993
\(333\) −11.6535 + 17.4332i −0.638606 + 0.955331i
\(334\) −4.62057 + 2.66769i −0.252826 + 0.145969i
\(335\) 0.155907 + 0.270039i 0.00851812 + 0.0147538i
\(336\) 29.5223 61.5641i 1.61057 3.35860i
\(337\) −5.88499 −0.320576 −0.160288 0.987070i \(-0.551242\pi\)
−0.160288 + 0.987070i \(0.551242\pi\)
\(338\) −11.2467 33.6808i −0.611742 1.83199i
\(339\) 16.3617 + 0.537249i 0.888643 + 0.0291794i
\(340\) 2.31779 4.01452i 0.125700 0.217718i
\(341\) −28.4459 −1.54043
\(342\) 14.2887 + 0.939373i 0.772642 + 0.0507955i
\(343\) 5.96344 + 17.5339i 0.321996 + 0.946741i
\(344\) −19.1804 11.0738i −1.03414 0.597059i
\(345\) −1.18734 0.0389873i −0.0639241 0.00209900i
\(346\) 51.3596 29.6525i 2.76111 1.59413i
\(347\) 19.9506i 1.07101i −0.844534 0.535503i \(-0.820122\pi\)
0.844534 0.535503i \(-0.179878\pi\)
\(348\) −4.85435 + 7.80470i −0.260220 + 0.418376i
\(349\) 10.9042 6.29554i 0.583688 0.336993i −0.178909 0.983866i \(-0.557257\pi\)
0.762598 + 0.646873i \(0.223924\pi\)
\(350\) −14.3753 + 32.6877i −0.768391 + 1.74723i
\(351\) −1.17331 18.6982i −0.0626268 0.998037i
\(352\) 54.2151 93.9034i 2.88968 5.00507i
\(353\) 10.8294 18.7571i 0.576391 0.998338i −0.419498 0.907756i \(-0.637794\pi\)
0.995889 0.0905820i \(-0.0288727\pi\)
\(354\) 6.05348 + 11.3280i 0.321739 + 0.602075i
\(355\) 0.841110 0.485615i 0.0446415 0.0257738i
\(356\) 53.2226 2.82079
\(357\) −6.93782 + 14.4677i −0.367189 + 0.765714i
\(358\) −0.0713432 + 0.123570i −0.00377060 + 0.00653088i
\(359\) −27.7586 16.0264i −1.46504 0.845843i −0.465805 0.884888i \(-0.654235\pi\)
−0.999237 + 0.0390450i \(0.987568\pi\)
\(360\) 6.16707 3.03974i 0.325033 0.160208i
\(361\) −7.97316 + 13.8099i −0.419640 + 0.726837i
\(362\) 72.9826 3.83588
\(363\) −20.2402 12.5890i −1.06234 0.660749i
\(364\) −36.5166 + 37.1516i −1.91399 + 1.94727i
\(365\) 0.783575i 0.0410142i
\(366\) −35.7733 22.2502i −1.86990 1.16304i
\(367\) −16.6067 9.58789i −0.866863 0.500484i −0.000558623 1.00000i \(-0.500178\pi\)
−0.866305 + 0.499516i \(0.833511\pi\)
\(368\) 42.1506i 2.19725i
\(369\) −4.79192 0.315033i −0.249458 0.0164000i
\(370\) 4.00865 + 2.31439i 0.208400 + 0.120320i
\(371\) 4.75360 10.8091i 0.246795 0.561181i
\(372\) −28.5568 + 45.9129i −1.48060 + 2.38047i
\(373\) 14.3710 + 24.8914i 0.744104 + 1.28883i 0.950612 + 0.310381i \(0.100457\pi\)
−0.206508 + 0.978445i \(0.566210\pi\)
\(374\) −23.7952 + 41.2145i −1.23042 + 2.13115i
\(375\) −3.68180 + 1.96749i −0.190127 + 0.101601i
\(376\) 1.45400 + 0.839466i 0.0749842 + 0.0432921i
\(377\) 2.71388 2.21596i 0.139772 0.114128i
\(378\) −32.3156 + 19.1260i −1.66213 + 0.983735i
\(379\) 12.6385 + 21.8905i 0.649195 + 1.12444i 0.983316 + 0.181908i \(0.0582273\pi\)
−0.334121 + 0.942530i \(0.608439\pi\)
\(380\) 2.31355i 0.118683i
\(381\) 27.4935 + 17.1004i 1.40854 + 0.876078i
\(382\) 21.3468 + 36.9738i 1.09220 + 1.89174i
\(383\) 5.55051 + 9.61376i 0.283618 + 0.491240i 0.972273 0.233849i \(-0.0751320\pi\)
−0.688655 + 0.725089i \(0.741799\pi\)
\(384\) −30.6940 57.4382i −1.56635 2.93113i
\(385\) −1.28494 + 2.92181i −0.0654868 + 0.148909i
\(386\) −6.12884 3.53849i −0.311950 0.180104i
\(387\) 3.10743 + 6.30440i 0.157960 + 0.320471i
\(388\) −24.2468 13.9989i −1.23095 0.710687i
\(389\) 6.68061 3.85705i 0.338721 0.195560i −0.320986 0.947084i \(-0.604014\pi\)
0.659706 + 0.751524i \(0.270681\pi\)
\(390\) −4.10155 + 0.529202i −0.207690 + 0.0267972i
\(391\) 9.90550i 0.500943i
\(392\) 63.1173 + 19.8736i 3.18790 + 1.00377i
\(393\) 0.302888 9.22430i 0.0152787 0.465304i
\(394\) −4.63731 8.03206i −0.233624 0.404649i
\(395\) −0.395035 0.684220i −0.0198764 0.0344269i
\(396\) −73.1214 + 36.0415i −3.67449 + 1.81115i
\(397\) 29.7256 17.1621i 1.49189 0.861340i 0.491928 0.870636i \(-0.336292\pi\)
0.999957 + 0.00929524i \(0.00295881\pi\)
\(398\) 57.0538 2.85985
\(399\) 0.611651 + 7.98457i 0.0306209 + 0.399728i
\(400\) 36.8101 + 63.7570i 1.84051 + 3.18785i
\(401\) 7.57176i 0.378116i 0.981966 + 0.189058i \(0.0605434\pi\)
−0.981966 + 0.189058i \(0.939457\pi\)
\(402\) −6.08149 0.199691i −0.303317 0.00995968i
\(403\) 15.9650 13.0359i 0.795275 0.649365i
\(404\) −42.6491 + 73.8705i −2.12187 + 3.67519i
\(405\) −2.16319 0.285663i −0.107490 0.0141947i
\(406\) −6.42836 2.82704i −0.319034 0.140304i
\(407\) −30.1222 17.3910i −1.49310 0.862042i
\(408\) 27.0197 + 50.5623i 1.33767 + 2.50321i
\(409\) 35.8071i 1.77055i 0.465070 + 0.885274i \(0.346029\pi\)
−0.465070 + 0.885274i \(0.653971\pi\)
\(410\) 1.06005i 0.0523521i
\(411\) −4.05866 7.59503i −0.200199 0.374635i
\(412\) 18.7648 + 10.8339i 0.924476 + 0.533746i
\(413\) −5.79169 + 4.24839i −0.284991 + 0.209050i
\(414\) 12.8832 19.2728i 0.633175 0.947207i
\(415\) 1.38730 2.40288i 0.0681000 0.117953i
\(416\) 12.6053 + 77.5478i 0.618028 + 3.80209i
\(417\) −14.0808 0.462355i −0.689539 0.0226416i
\(418\) 23.7518i 1.16174i
\(419\) 6.81971 + 11.8121i 0.333165 + 0.577058i 0.983131 0.182905i \(-0.0585501\pi\)
−0.649966 + 0.759963i \(0.725217\pi\)
\(420\) 3.42598 + 5.00716i 0.167171 + 0.244324i
\(421\) −25.9264 −1.26358 −0.631789 0.775140i \(-0.717679\pi\)
−0.631789 + 0.775140i \(0.717679\pi\)
\(422\) 43.9328 25.3646i 2.13861 1.23473i
\(423\) −0.235564 0.477915i −0.0114535 0.0232370i
\(424\) −21.0951 36.5378i −1.02447 1.77443i
\(425\) −8.65048 14.9831i −0.419610 0.726786i
\(426\) −0.621992 + 18.9425i −0.0301356 + 0.917765i
\(427\) 9.48436 21.5663i 0.458980 1.04367i
\(428\) 69.9959i 3.38338i
\(429\) 30.8203 3.97659i 1.48802 0.191991i
\(430\) 1.34363 0.775748i 0.0647958 0.0374099i
\(431\) −7.30720 4.21881i −0.351975 0.203213i 0.313580 0.949562i \(-0.398472\pi\)
−0.665555 + 0.746349i \(0.731805\pi\)
\(432\) −7.61126 + 77.0435i −0.366197 + 3.70676i
\(433\) −15.6475 9.03407i −0.751970 0.434150i 0.0744355 0.997226i \(-0.476285\pi\)
−0.826405 + 0.563076i \(0.809618\pi\)
\(434\) −37.8163 16.6307i −1.81524 0.798301i
\(435\) −0.192320 0.359891i −0.00922103 0.0172555i
\(436\) 29.8575 + 51.7147i 1.42991 + 2.47668i
\(437\) −2.47186 4.28138i −0.118245 0.204806i
\(438\) 12.9841 + 8.07584i 0.620406 + 0.385879i
\(439\) 30.0005i 1.43184i 0.698181 + 0.715922i \(0.253993\pi\)
−0.698181 + 0.715922i \(0.746007\pi\)
\(440\) 5.70222 + 9.87653i 0.271843 + 0.470845i
\(441\) −13.1476 16.3750i −0.626074 0.779763i
\(442\) −5.53253 34.0360i −0.263156 1.61893i
\(443\) 6.37019 + 3.67783i 0.302657 + 0.174739i 0.643636 0.765332i \(-0.277425\pi\)
−0.340979 + 0.940071i \(0.610758\pi\)
\(444\) −58.3096 + 31.1597i −2.76725 + 1.47877i
\(445\) −1.18144 + 2.04632i −0.0560058 + 0.0970048i
\(446\) 3.73624 + 6.47136i 0.176916 + 0.306428i
\(447\) −11.5955 + 18.6430i −0.548450 + 0.881784i
\(448\) 63.4041 46.5089i 2.99556 2.19734i
\(449\) 1.54734 + 0.893359i 0.0730237 + 0.0421602i 0.536067 0.844175i \(-0.319909\pi\)
−0.463044 + 0.886336i \(0.653243\pi\)
\(450\) 2.65620 40.4030i 0.125214 1.90461i
\(451\) 7.96553i 0.375082i
\(452\) 44.6984 + 25.8066i 2.10243 + 1.21384i
\(453\) 11.6909 + 7.27145i 0.549284 + 0.341642i
\(454\) 60.4335i 2.83629i
\(455\) −0.617815 2.22870i −0.0289636 0.104483i
\(456\) 24.2960 + 15.1116i 1.13776 + 0.707663i
\(457\) −4.18947 −0.195975 −0.0979877 0.995188i \(-0.531241\pi\)
−0.0979877 + 0.995188i \(0.531241\pi\)
\(458\) 25.6773 44.4744i 1.19982 2.07815i
\(459\) 1.78867 18.1054i 0.0834878 0.845089i
\(460\) −3.24368 1.87274i −0.151238 0.0873171i
\(461\) −5.15059 + 8.92108i −0.239887 + 0.415496i −0.960682 0.277652i \(-0.910444\pi\)
0.720795 + 0.693149i \(0.243777\pi\)
\(462\) −35.1723 51.4053i −1.63637 2.39159i
\(463\) 16.7671 0.779234 0.389617 0.920977i \(-0.372607\pi\)
0.389617 + 0.920977i \(0.372607\pi\)
\(464\) −12.5385 + 7.23909i −0.582084 + 0.336066i
\(465\) −1.13137 2.11714i −0.0524658 0.0981801i
\(466\) 30.8884 53.5003i 1.43088 2.47835i
\(467\) −6.07534 + 10.5228i −0.281133 + 0.486937i −0.971664 0.236366i \(-0.924044\pi\)
0.690531 + 0.723303i \(0.257377\pi\)
\(468\) 24.5221 53.7374i 1.13353 2.48401i
\(469\) −0.371116 3.38252i −0.0171365 0.156190i
\(470\) −0.101856 + 0.0588067i −0.00469828 + 0.00271255i
\(471\) 4.51726 7.26274i 0.208144 0.334649i
\(472\) 25.6638i 1.18127i
\(473\) −10.0965 + 5.82921i −0.464237 + 0.268027i
\(474\) 15.4092 + 0.505973i 0.707767 + 0.0232401i
\(475\) −7.47786 4.31735i −0.343108 0.198093i
\(476\) −40.7904 + 29.9210i −1.86962 + 1.37143i
\(477\) −0.878348 + 13.3604i −0.0402168 + 0.611731i
\(478\) 76.0705 3.47939
\(479\) 16.9411 29.3429i 0.774059 1.34071i −0.161262 0.986912i \(-0.551557\pi\)
0.935322 0.353798i \(-0.115110\pi\)
\(480\) 9.14522 + 0.300291i 0.417420 + 0.0137064i
\(481\) 24.8757 4.04352i 1.13423 0.184369i
\(482\) −46.8590 −2.13437
\(483\) 11.6898 + 5.60568i 0.531902 + 0.255067i
\(484\) −37.5752 65.0821i −1.70796 2.95828i
\(485\) 1.07647 0.621500i 0.0488799 0.0282208i
\(486\) 27.0283 32.9008i 1.22603 1.49241i
\(487\) −22.6759 −1.02754 −0.513771 0.857928i \(-0.671752\pi\)
−0.513771 + 0.857928i \(0.671752\pi\)
\(488\) −42.0889 72.9001i −1.90527 3.30003i
\(489\) −3.56449 2.21703i −0.161192 0.100258i
\(490\) −3.41644 + 3.13306i −0.154339 + 0.141537i
\(491\) −14.8961 + 8.60025i −0.672250 + 0.388124i −0.796929 0.604073i \(-0.793543\pi\)
0.124678 + 0.992197i \(0.460210\pi\)
\(492\) −12.8567 7.99659i −0.579626 0.360514i
\(493\) 2.94657 1.70120i 0.132707 0.0766184i
\(494\) −10.8848 13.3305i −0.489728 0.599768i
\(495\) 0.237426 3.61145i 0.0106715 0.162323i
\(496\) −73.7604 + 42.5856i −3.31194 + 1.91215i
\(497\) −10.5358 + 1.15594i −0.472594 + 0.0518511i
\(498\) 25.5185 + 47.7531i 1.14351 + 2.13987i
\(499\) 5.47911 9.49010i 0.245279 0.424835i −0.716931 0.697144i \(-0.754454\pi\)
0.962210 + 0.272309i \(0.0877872\pi\)
\(500\) −13.1616 −0.588602
\(501\) 2.87287 + 1.78686i 0.128350 + 0.0798309i
\(502\) 6.94052 + 4.00711i 0.309770 + 0.178846i
\(503\) −1.81288 + 3.14001i −0.0808325 + 0.140006i −0.903608 0.428361i \(-0.859091\pi\)
0.822775 + 0.568367i \(0.192425\pi\)
\(504\) −74.9608 + 3.27267i −3.33902 + 0.145776i
\(505\) −1.89346 3.27957i −0.0842580 0.145939i
\(506\) 33.3009 + 19.2263i 1.48040 + 0.854711i
\(507\) −15.4753 + 16.3559i −0.687283 + 0.726390i
\(508\) 51.0406 + 88.4050i 2.26456 + 3.92234i
\(509\) −16.7718 −0.743398 −0.371699 0.928353i \(-0.621225\pi\)
−0.371699 + 0.928353i \(0.621225\pi\)
\(510\) −4.01387 0.131799i −0.177737 0.00583616i
\(511\) −3.44240 + 7.82761i −0.152283 + 0.346273i
\(512\) 42.9671i 1.89889i
\(513\) −3.74499 8.27192i −0.165345 0.365214i
\(514\) 58.7770i 2.59254i
\(515\) −0.833087 + 0.480983i −0.0367102 + 0.0211947i
\(516\) −0.727252 + 22.1481i −0.0320155 + 0.975016i
\(517\) 0.765378 0.441891i 0.0336613 0.0194344i
\(518\) −29.8772 40.7306i −1.31273 1.78960i
\(519\) −31.9332 19.8617i −1.40171 0.871832i
\(520\) −7.72646 2.92997i −0.338828 0.128488i
\(521\) 10.6368 + 18.4234i 0.466006 + 0.807145i 0.999246 0.0388183i \(-0.0123593\pi\)
−0.533241 + 0.845964i \(0.679026\pi\)
\(522\) 7.94565 + 0.522368i 0.347772 + 0.0228634i
\(523\) 1.94664i 0.0851206i −0.999094 0.0425603i \(-0.986449\pi\)
0.999094 0.0425603i \(-0.0135515\pi\)
\(524\) 14.5491 25.1998i 0.635582 1.10086i
\(525\) 22.5774 1.72952i 0.985358 0.0754825i
\(526\) 19.1966 33.2494i 0.837010 1.44974i
\(527\) 17.3339 10.0077i 0.755076 0.435943i
\(528\) −128.345 4.21432i −5.58550 0.183405i
\(529\) 14.9965 0.652021
\(530\) 2.95553 0.128380
\(531\) 4.52620 6.77103i 0.196420 0.293837i
\(532\) −10.1639 + 23.1115i −0.440661 + 1.00201i
\(533\) 3.65037 + 4.47060i 0.158115 + 0.193643i
\(534\) −21.7318 40.6671i −0.940429 1.75984i
\(535\) 2.69122 + 1.55378i 0.116352 + 0.0671757i
\(536\) −10.5292 6.07906i −0.454794 0.262575i
\(537\) 0.0904305 + 0.00296936i 0.00390236 + 0.000128137i
\(538\) 43.7861i 1.88775i
\(539\) 25.6722 23.5427i 1.10578 1.01406i
\(540\) −5.59069 4.00875i −0.240585 0.172509i
\(541\) 17.4672 30.2541i 0.750974 1.30073i −0.196377 0.980529i \(-0.562918\pi\)
0.947351 0.320197i \(-0.103749\pi\)
\(542\) 13.7140 0.589065
\(543\) −21.8118 40.8168i −0.936035 1.75162i
\(544\) 76.2951i 3.27113i
\(545\) −2.65112 −0.113562
\(546\) 43.2978 + 12.7324i 1.85297 + 0.544897i
\(547\) 5.61294 0.239992 0.119996 0.992774i \(-0.461712\pi\)
0.119996 + 0.992774i \(0.461712\pi\)
\(548\) 27.1504i 1.15981i
\(549\) −1.75247 + 26.6566i −0.0747938 + 1.13768i
\(550\) 67.1612 2.86376
\(551\) 0.849050 1.47060i 0.0361707 0.0626495i
\(552\) 40.8537 21.8316i 1.73885 0.929212i
\(553\) 0.940327 + 8.57056i 0.0399868 + 0.364457i
\(554\) 31.0949i 1.32109i
\(555\) 0.0963270 2.93359i 0.00408885 0.124524i
\(556\) −38.4672 22.2091i −1.63137 0.941875i
\(557\) 11.2242 + 6.48031i 0.475586 + 0.274580i 0.718575 0.695449i \(-0.244795\pi\)
−0.242989 + 0.970029i \(0.578128\pi\)
\(558\) 46.7421 + 3.07295i 1.97875 + 0.130088i
\(559\) 2.99522 7.89852i 0.126684 0.334072i
\(560\) 1.04229 + 9.49993i 0.0440450 + 0.401445i
\(561\) 30.1615 + 0.990377i 1.27342 + 0.0418138i
\(562\) −79.3844 −3.34863
\(563\) −26.4215 −1.11353 −0.556766 0.830669i \(-0.687958\pi\)
−0.556766 + 0.830669i \(0.687958\pi\)
\(564\) 0.0551304 1.67897i 0.00232141 0.0706974i
\(565\) −1.98444 + 1.14572i −0.0834861 + 0.0482007i
\(566\) −31.1293 + 53.9175i −1.30846 + 2.26632i
\(567\) 20.3545 + 12.3570i 0.854808 + 0.518945i
\(568\) −18.9349 + 32.7962i −0.794490 + 1.37610i
\(569\) 29.1725i 1.22297i −0.791255 0.611487i \(-0.790572\pi\)
0.791255 0.611487i \(-0.209428\pi\)
\(570\) −1.76777 + 0.944670i −0.0740439 + 0.0395679i
\(571\) −5.59184 9.68535i −0.234011 0.405319i 0.724974 0.688777i \(-0.241852\pi\)
−0.958985 + 0.283457i \(0.908519\pi\)
\(572\) 91.6107 + 34.7399i 3.83044 + 1.45255i
\(573\) 14.2984 22.9887i 0.597326 0.960365i
\(574\) 4.65701 10.5895i 0.194380 0.441996i
\(575\) −12.1061 + 6.98948i −0.504861 + 0.291482i
\(576\) −49.5502 + 74.1253i −2.06459 + 3.08855i
\(577\) 31.6290 18.2610i 1.31673 0.760217i 0.333532 0.942739i \(-0.391759\pi\)
0.983202 + 0.182522i \(0.0584261\pi\)
\(578\) 12.9485i 0.538588i
\(579\) −0.147275 + 4.48518i −0.00612054 + 0.186398i
\(580\) 1.28652i 0.0534200i
\(581\) −24.4149 + 17.9091i −1.01290 + 0.742995i
\(582\) −0.796037 + 24.2429i −0.0329968 + 1.00490i
\(583\) −22.2088 −0.919794
\(584\) 15.2764 + 26.4595i 0.632142 + 1.09490i
\(585\) 1.52177 + 2.13570i 0.0629174 + 0.0883005i
\(586\) −53.1609 30.6924i −2.19606 1.26789i
\(587\) −7.85945 13.6130i −0.324394 0.561867i 0.656995 0.753895i \(-0.271827\pi\)
−0.981390 + 0.192027i \(0.938494\pi\)
\(588\) −12.2267 65.0706i −0.504221 2.68347i
\(589\) 4.99473 8.65112i 0.205804 0.356463i
\(590\) −1.55696 0.898908i −0.0640988 0.0370075i
\(591\) −3.10614 + 4.99398i −0.127770 + 0.205425i
\(592\) −104.143 −4.28024
\(593\) 9.02479 15.6314i 0.370604 0.641904i −0.619055 0.785348i \(-0.712484\pi\)
0.989659 + 0.143443i \(0.0458175\pi\)
\(594\) 57.3960 + 41.1553i 2.35499 + 1.68862i
\(595\) −0.244942 2.23251i −0.0100416 0.0915240i
\(596\) −59.9462 + 34.6100i −2.45549 + 1.41768i
\(597\) −17.0513 31.9083i −0.697863 1.30592i
\(598\) −27.5007 + 4.47022i −1.12459 + 0.182801i
\(599\) 29.2871 16.9089i 1.19664 0.690880i 0.236836 0.971550i \(-0.423890\pi\)
0.959805 + 0.280669i \(0.0905564\pi\)
\(600\) 42.7298 68.7000i 1.74444 2.80466i
\(601\) 32.6930 18.8753i 1.33358 0.769941i 0.347731 0.937594i \(-0.386952\pi\)
0.985846 + 0.167653i \(0.0536190\pi\)
\(602\) −16.8304 + 1.84656i −0.685956 + 0.0752603i
\(603\) 1.70585 + 3.46086i 0.0694677 + 0.140937i
\(604\) 21.7036 + 37.5917i 0.883107 + 1.52959i
\(605\) 3.33639 0.135644
\(606\) 73.8585 + 2.42521i 3.00030 + 0.0985174i
\(607\) −34.4356 + 19.8814i −1.39770 + 0.806962i −0.994151 0.107997i \(-0.965556\pi\)
−0.403548 + 0.914959i \(0.632223\pi\)
\(608\) 19.0390 + 32.9764i 0.772132 + 1.33737i
\(609\) 0.340128 + 4.44007i 0.0137827 + 0.179921i
\(610\) 5.89687 0.238757
\(611\) −0.227057 + 0.598759i −0.00918574 + 0.0242232i
\(612\) 31.8776 47.6877i 1.28857 1.92766i
\(613\) 1.29022 2.23472i 0.0521114 0.0902596i −0.838793 0.544450i \(-0.816738\pi\)
0.890904 + 0.454191i \(0.150072\pi\)
\(614\) 37.3927 1.50905
\(615\) 0.592851 0.316810i 0.0239060 0.0127750i
\(616\) −13.5734 123.714i −0.546887 4.98457i
\(617\) −15.8291 9.13893i −0.637255 0.367919i 0.146301 0.989240i \(-0.453263\pi\)
−0.783556 + 0.621321i \(0.786596\pi\)
\(618\) 0.616059 18.7618i 0.0247815 0.754709i
\(619\) 11.0135 6.35866i 0.442671 0.255576i −0.262059 0.965052i \(-0.584402\pi\)
0.704730 + 0.709476i \(0.251068\pi\)
\(620\) 7.56827i 0.303949i
\(621\) −14.6290 1.44522i −0.587040 0.0579947i
\(622\) −33.5026 + 19.3427i −1.34333 + 0.775573i
\(623\) 20.7920 15.2516i 0.833015 0.611043i
\(624\) 73.9640 56.4516i 2.96093 2.25987i
\(625\) −12.0609 + 20.8901i −0.482436 + 0.835603i
\(626\) −26.0452 + 45.1117i −1.04098 + 1.80303i
\(627\) 13.2836 7.09854i 0.530496 0.283488i
\(628\) 23.3532 13.4830i 0.931894 0.538029i
\(629\) 24.4738 0.975835
\(630\) 2.42705 4.66229i 0.0966961 0.185750i
\(631\) −7.52279 + 13.0299i −0.299478 + 0.518710i −0.976017 0.217696i \(-0.930146\pi\)
0.676539 + 0.736407i \(0.263479\pi\)
\(632\) 26.6788 + 15.4030i 1.06123 + 0.612699i
\(633\) −27.3155 16.9896i −1.08569 0.675277i
\(634\) 1.51434 2.62291i 0.0601421 0.104169i
\(635\) −4.53203 −0.179848
\(636\) −22.2954 + 35.8460i −0.884069 + 1.42138i
\(637\) −3.61937 + 24.9780i −0.143405 + 0.989664i
\(638\) 13.2079i 0.522907i
\(639\) 10.7798 5.31334i 0.426442 0.210193i
\(640\) 7.89450 + 4.55789i 0.312057 + 0.180166i
\(641\) 31.7159i 1.25270i 0.779541 + 0.626351i \(0.215452\pi\)
−0.779541 + 0.626351i \(0.784548\pi\)
\(642\) −53.4835 + 28.5807i −2.11083 + 1.12799i
\(643\) −1.53491 0.886181i −0.0605309 0.0349476i 0.469429 0.882970i \(-0.344460\pi\)
−0.529960 + 0.848023i \(0.677793\pi\)
\(644\) 24.1758 + 32.9581i 0.952660 + 1.29873i
\(645\) −0.835413 0.519608i −0.0328944 0.0204596i
\(646\) −8.35627 14.4735i −0.328773 0.569452i
\(647\) 6.07535 10.5228i 0.238847 0.413695i −0.721537 0.692376i \(-0.756564\pi\)
0.960384 + 0.278681i \(0.0898973\pi\)
\(648\) 78.6152 32.5270i 3.08830 1.27778i
\(649\) 11.6994 + 6.75467i 0.459243 + 0.265144i
\(650\) −37.6937 + 30.7780i −1.47847 + 1.20721i
\(651\) 2.00088 + 26.1197i 0.0784206 + 1.02371i
\(652\) −6.61733 11.4616i −0.259155 0.448869i
\(653\) 38.4295i 1.50386i 0.659242 + 0.751931i \(0.270877\pi\)
−0.659242 + 0.751931i \(0.729123\pi\)
\(654\) 27.3235 43.9301i 1.06843 1.71780i
\(655\) 0.645927 + 1.11878i 0.0252385 + 0.0437143i
\(656\) −11.9250 20.6547i −0.465593 0.806430i
\(657\) 0.636071 9.67517i 0.0248155 0.377464i
\(658\) 1.27585 0.139981i 0.0497379 0.00545705i
\(659\) 39.1455 + 22.6007i 1.52489 + 0.880396i 0.999565 + 0.0294958i \(0.00939016\pi\)
0.525327 + 0.850901i \(0.323943\pi\)
\(660\) 6.02666 9.68952i 0.234587 0.377164i
\(661\) 3.87819 + 2.23907i 0.150844 + 0.0870898i 0.573522 0.819190i \(-0.305577\pi\)
−0.422678 + 0.906280i \(0.638910\pi\)
\(662\) −35.8597 + 20.7036i −1.39373 + 0.804669i
\(663\) −17.3818 + 13.2663i −0.675051 + 0.515219i
\(664\) 108.186i 4.19843i
\(665\) −0.662978 0.903817i −0.0257092 0.0350485i
\(666\) 47.6179 + 31.8309i 1.84516 + 1.23342i
\(667\) −1.37455 2.38080i −0.0532229 0.0921848i
\(668\) 5.33336 + 9.23765i 0.206354 + 0.357415i
\(669\) 2.50259 4.02361i 0.0967559 0.155562i
\(670\) 0.737600 0.425854i 0.0284960 0.0164522i
\(671\) −44.3108 −1.71060
\(672\) −90.0380 43.1766i −3.47329 1.66557i
\(673\) −10.5889 18.3406i −0.408174 0.706977i 0.586512 0.809941i \(-0.300501\pi\)
−0.994685 + 0.102963i \(0.967168\pi\)
\(674\) 16.0746i 0.619171i
\(675\) −23.3899 + 10.5894i −0.900277 + 0.407588i
\(676\) −67.3362 + 22.4850i −2.58985 + 0.864808i
\(677\) 12.6028 21.8286i 0.484363 0.838941i −0.515476 0.856904i \(-0.672385\pi\)
0.999839 + 0.0179629i \(0.00571806\pi\)
\(678\) 1.46747 44.6912i 0.0563579 1.71635i
\(679\) −13.4839 + 1.47940i −0.517464 + 0.0567740i
\(680\) −6.94945 4.01227i −0.266499 0.153863i
\(681\) −33.7985 + 18.0614i −1.29516 + 0.692113i
\(682\) 77.6986i 2.97523i
\(683\) 35.8251i 1.37081i 0.728163 + 0.685404i \(0.240374\pi\)
−0.728163 + 0.685404i \(0.759626\pi\)
\(684\) 1.87804 28.5665i 0.0718086 1.09227i
\(685\) 1.04389 + 0.602688i 0.0398849 + 0.0230275i
\(686\) 47.8931 16.2889i 1.82857 0.621912i
\(687\) −32.5471 1.06871i −1.24175 0.0407739i
\(688\) −17.4535 + 30.2303i −0.665408 + 1.15252i
\(689\) 12.4645 10.1776i 0.474860 0.387737i
\(690\) −0.106492 + 3.24316i −0.00405408 + 0.123465i
\(691\) 42.1479i 1.60338i 0.597739 + 0.801691i \(0.296066\pi\)
−0.597739 + 0.801691i \(0.703934\pi\)
\(692\) −59.2826 102.681i −2.25359 3.90333i
\(693\) −18.2376 + 35.0339i −0.692789 + 1.33083i
\(694\) −54.4942 −2.06857
\(695\) 1.70780 0.986000i 0.0647806 0.0374011i
\(696\) 13.5105 + 8.40326i 0.512116 + 0.318525i
\(697\) 2.80241 + 4.85391i 0.106149 + 0.183855i
\(698\) −17.1960 29.7843i −0.650878 1.12735i
\(699\) −39.1524 1.28560i −1.48088 0.0486259i
\(700\) 65.3507 + 28.7397i 2.47002 + 1.08626i
\(701\) 15.2806i 0.577141i 0.957459 + 0.288571i \(0.0931800\pi\)
−0.957459 + 0.288571i \(0.906820\pi\)
\(702\) −51.0734 + 3.20485i −1.92764 + 0.120959i
\(703\) 10.5781 6.10729i 0.398962 0.230341i
\(704\) −128.079 73.9463i −4.82715 2.78695i
\(705\) 0.0633297 + 0.0393897i 0.00238514 + 0.00148350i
\(706\) −51.2341 29.5800i −1.92822 1.11326i
\(707\) 4.50713 + 41.0800i 0.169508 + 1.54497i
\(708\) 22.6474 12.1024i 0.851141 0.454836i
\(709\) −13.8220 23.9403i −0.519095 0.899098i −0.999754 0.0221907i \(-0.992936\pi\)
0.480659 0.876908i \(-0.340397\pi\)
\(710\) −1.32644 2.29746i −0.0497803 0.0862220i
\(711\) −4.32226 8.76906i −0.162097 0.328865i
\(712\) 92.1325i 3.45281i
\(713\) −8.08612 14.0056i −0.302828 0.524513i
\(714\) 39.5180 + 18.9504i 1.47892 + 0.709199i
\(715\) −3.36928 + 2.75112i −0.126004 + 0.102886i
\(716\) 0.247047 + 0.142633i 0.00923257 + 0.00533043i
\(717\) −22.7347 42.5437i −0.849042 1.58883i
\(718\) −43.7755 + 75.8214i −1.63369 + 2.82963i
\(719\) −19.5493 33.8603i −0.729064 1.26278i −0.957279 0.289166i \(-0.906622\pi\)
0.228215 0.973611i \(-0.426711\pi\)
\(720\) −4.79096 9.71996i −0.178548 0.362241i
\(721\) 10.4353 1.14492i 0.388630 0.0426389i
\(722\) 37.7212 + 21.7783i 1.40384 + 0.810505i
\(723\) 14.0044 + 26.2067i 0.520830 + 0.974637i
\(724\) 145.910i 5.42271i
\(725\) −4.15830 2.40080i −0.154435 0.0891633i
\(726\) −34.3862 + 55.2853i −1.27619 + 2.05183i
\(727\) 33.5977i 1.24607i 0.782194 + 0.623035i \(0.214100\pi\)
−0.782194 + 0.623035i \(0.785900\pi\)
\(728\) 64.3123 + 63.2131i 2.38357 + 2.34283i
\(729\) −26.4781 5.28319i −0.980669 0.195674i
\(730\) −2.14030 −0.0792161
\(731\) 4.10162 7.10421i 0.151704 0.262759i
\(732\) −44.4836 + 71.5197i −1.64416 + 2.64344i
\(733\) 28.1963 + 16.2791i 1.04145 + 0.601284i 0.920245 0.391343i \(-0.127989\pi\)
0.121209 + 0.992627i \(0.461323\pi\)
\(734\) −26.1889 + 45.3605i −0.966650 + 1.67429i
\(735\) 2.77326 + 0.974349i 0.102293 + 0.0359394i
\(736\) 61.6455 2.27228
\(737\) −5.54255 + 3.19999i −0.204162 + 0.117873i
\(738\) −0.860500 + 13.0889i −0.0316754 + 0.481810i
\(739\) −18.7628 + 32.4980i −0.690199 + 1.19546i 0.281573 + 0.959540i \(0.409144\pi\)
−0.971772 + 0.235920i \(0.924190\pi\)
\(740\) 4.62704 8.01427i 0.170093 0.294610i
\(741\) −4.20227 + 10.0715i −0.154374 + 0.369985i
\(742\) −29.5246 12.9842i −1.08388 0.476667i
\(743\) −14.1385 + 8.16284i −0.518690 + 0.299466i −0.736398 0.676548i \(-0.763475\pi\)
0.217709 + 0.976014i \(0.430142\pi\)
\(744\) 79.4789 + 49.4341i 2.91384 + 1.81234i
\(745\) 3.07311i 0.112590i
\(746\) 67.9897 39.2539i 2.48928 1.43719i
\(747\) 19.0802 28.5433i 0.698109 1.04435i
\(748\) 82.3980 + 47.5725i 3.01277 + 1.73942i
\(749\) −20.0582 27.3447i −0.732911 0.999154i
\(750\) 5.37412 + 10.0567i 0.196235 + 0.367218i
\(751\) 7.57277 0.276334 0.138167 0.990409i \(-0.455879\pi\)
0.138167 + 0.990409i \(0.455879\pi\)
\(752\) 1.32309 2.29166i 0.0482481 0.0835681i
\(753\) 0.166779 5.07918i 0.00607777 0.185096i
\(754\) −6.05281 7.41285i −0.220430 0.269960i
\(755\) −1.92712 −0.0701350
\(756\) 38.2376 + 64.6068i 1.39069 + 2.34973i
\(757\) −0.418890 0.725538i −0.0152248 0.0263701i 0.858313 0.513127i \(-0.171513\pi\)
−0.873537 + 0.486757i \(0.838180\pi\)
\(758\) 59.7929 34.5214i 2.17177 1.25387i
\(759\) 0.800213 24.3701i 0.0290459 0.884578i
\(760\) −4.00494 −0.145275
\(761\) −7.57813 13.1257i −0.274707 0.475806i 0.695354 0.718667i \(-0.255247\pi\)
−0.970061 + 0.242861i \(0.921914\pi\)
\(762\) 46.7089 75.0974i 1.69208 2.72049i
\(763\) 26.4837 + 11.6469i 0.958773 + 0.421646i
\(764\) 73.9196 42.6775i 2.67432 1.54402i
\(765\) 1.12589 + 2.28422i 0.0407066 + 0.0825860i
\(766\) 26.2596 15.1610i 0.948797 0.547788i
\(767\) −9.66169 + 1.57050i −0.348863 + 0.0567075i
\(768\) −66.0869 + 35.3157i −2.38470 + 1.27435i
\(769\) 31.6516 18.2740i 1.14139 0.658979i 0.194612 0.980880i \(-0.437655\pi\)
0.946773 + 0.321901i \(0.104322\pi\)
\(770\) 7.98080 + 3.50977i 0.287608 + 0.126483i
\(771\) 32.8720 17.5663i 1.18386 0.632634i
\(772\) −7.07431 + 12.2531i −0.254610 + 0.440997i
\(773\) −2.40880 −0.0866385 −0.0433192 0.999061i \(-0.513793\pi\)
−0.0433192 + 0.999061i