Properties

Label 273.2.r.b.269.32
Level $273$
Weight $2$
Character 273.269
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 269.32
Character \(\chi\) \(=\) 273.269
Dual form 273.2.r.b.68.1

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{6}\right)\)

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 \(0.416408\pi\)
−0.259603 + 0.965716i \(0.583592\pi\)
\(3\) −1.52761 0.816332i −0.881968 0.471309i
\(4\) −5.46085 −2.73043
\(5\) 0.121221 + 0.209960i 0.0542116 + 0.0938972i 0.891858 0.452316i \(-0.149402\pi\)
−0.837646 + 0.546213i \(0.816069\pi\)
\(6\) 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 0.319053 0.947737i \(-0.396635\pi\)
0.980291 + 0.197560i \(0.0633018\pi\)
\(12\) 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 0.316257 0.948673i \(-0.397574\pi\)
−0.663447 + 0.748224i \(0.730907\pi\)
\(20\) −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 \(-0.904697\pi\)
0.955513 0.294949i \(-0.0953026\pi\)
\(24\) −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 0.419825 0.907605i \(-0.362092\pi\)
−0.576097 + 0.817381i \(0.695425\pi\)
\(30\) 1.14638 0.0376423i 0.209299 0.00687251i
\(31\) −4.95063 2.85824i −0.889159 0.513356i −0.0154914 0.999880i \(-0.504931\pi\)
−0.873667 + 0.486524i \(0.838265\pi\)
\(32\) 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 −0.921732 0.387827i \(-0.873226\pi\)
0.796734 + 0.604330i \(0.206559\pi\)
\(42\) −11.2865 + 5.41230i −1.74154 + 0.835135i
\(43\) −1.17144 2.02899i −0.178643 0.309418i 0.762773 0.646666i \(-0.223837\pi\)
−0.941416 + 0.337248i \(0.890504\pi\)
\(44\) −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 0.872429 0.488740i \(-0.162543\pi\)
−0.859476 + 0.511176i \(0.829210\pi\)
\(48\) −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 0.210472 0.977600i \(-0.432500\pi\)
−0.741390 + 0.671074i \(0.765833\pi\)
\(54\) 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 −0.0828923 0.996559i \(-0.526416\pi\)
−0.904491 + 0.426492i \(0.859749\pi\)
\(62\) 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 0.824067 0.566493i \(-0.191700\pi\)
−0.902630 + 0.430416i \(0.858367\pi\)
\(68\) 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 −0.279800 0.960058i \(-0.590268\pi\)
0.691535 + 0.722343i \(0.256935\pi\)
\(72\) 23.5769 15.7604i 2.77857 1.85738i
\(73\) 2.79901 + 1.61601i 0.327599 + 0.189140i 0.654775 0.755824i \(-0.272763\pi\)
−0.327175 + 0.944964i \(0.606097\pi\)
\(74\) 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 0.943010 0.332765i \(-0.107982\pi\)
−0.759688 + 0.650288i \(0.774648\pi\)
\(80\) 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 −0.257353 0.966317i \(-0.582850\pi\)
0.708179 + 0.706033i \(0.249517\pi\)
\(98\) −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 0.933594 + 0.358332i \(0.116655\pi\)
−0.156472 + 0.987682i \(0.550012\pi\)
\(102\) −7.80723 + 14.6098i −0.773031 + 1.44658i
\(103\) −3.43624 + 1.98391i −0.338583 + 0.195481i −0.659645 0.751577i \(-0.729293\pi\)
0.321062 + 0.947058i \(0.395960\pi\)
\(104\) −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 \(-0.787307\pi\)
0.784942 0.619570i \(-0.212693\pi\)
\(108\) 2.78968 + 28.2380i 0.268437 + 2.71720i
\(109\) −5.46755 + 9.47008i −0.523696 + 0.907069i 0.475923 + 0.879487i \(0.342114\pi\)
−0.999620 + 0.0275819i \(0.991219\pi\)
\(110\) −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 −0.832875 0.553460i \(-0.813307\pi\)
0.0628730 + 0.998022i \(0.479974\pi\)
\(114\) −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 0.0691447 + 0.997607i \(0.477973\pi\)
−0.898525 + 0.438922i \(0.855360\pi\)
\(128\) 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 0.725847 0.687856i \(-0.241448\pi\)
−0.958624 + 0.284674i \(0.908115\pi\)
\(132\) 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 \(-0.931877\pi\)
0.977186 0.212386i \(-0.0681234\pi\)
\(138\) −11.8045 6.30814i −1.00487 0.536985i
\(139\) 7.04418 4.06696i 0.597480 0.344955i −0.170570 0.985346i \(-0.554561\pi\)
0.768050 + 0.640390i \(0.221227\pi\)
\(140\) −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 0.876976 0.480535i \(-0.159558\pi\)
0.0223322 + 0.999751i \(0.492891\pi\)
\(150\) −12.3466 19.8506i −1.00810 1.62079i
\(151\) −3.97440 + 6.88386i −0.323432 + 0.560200i −0.981194 0.193026i \(-0.938170\pi\)
0.657762 + 0.753226i \(0.271503\pi\)
\(152\) −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 0.319547 0.947571i \(-0.396469\pi\)
−0.660847 + 0.750521i \(0.729803\pi\)
\(158\) −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 −0.814659 0.579940i \(-0.803076\pi\)
0.909573 + 0.415545i \(0.136409\pi\)
\(164\) 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 −0.901336 0.433120i \(-0.857413\pi\)
0.825761 + 0.564020i \(0.190746\pi\)
\(168\) 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 −0.0762821 0.997086i \(-0.524305\pi\)
0.901643 0.432481i \(-0.142362\pi\)
\(174\) −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 −0.501690 0.865048i \(-0.667288\pi\)
0.498308 + 0.867000i \(0.333955\pi\)
\(180\) 1.75598 3.56256i 0.130883 0.265537i
\(181\) 26.7193i 1.98603i −0.117984 0.993016i \(-0.537643\pi\)
0.117984 0.993016i \(-0.462357\pi\)
\(182\) −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 −0.0773467 0.997004i \(-0.524645\pi\)
−0.902104 + 0.431518i \(0.857978\pi\)
\(192\) 45.4015 + 24.2618i 3.27657 + 1.75094i
\(193\) 1.29546 + 2.24380i 0.0932492 + 0.161512i 0.908877 0.417065i \(-0.136941\pi\)
−0.815627 + 0.578578i \(0.803608\pi\)
\(194\) 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 0.601082 0.799187i \(-0.294736\pi\)
−0.391575 + 0.920146i \(0.628070\pi\)
\(198\) −18.0275 + 36.5745i −1.28116 + 2.59924i
\(199\) 20.8877i 1.48069i −0.672227 0.740345i \(-0.734662\pi\)
0.672227 0.740345i \(-0.265338\pi\)
\(200\) −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 −0.346308 0.938121i \(-0.612565\pi\)
0.985591 0.169149i \(-0.0541018\pi\)
\(212\) 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 0.418571 0.908184i \(-0.362531\pi\)
−0.577225 + 0.816585i \(0.695864\pi\)
\(224\) 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 0.146160 0.989261i \(-0.453309\pi\)
0.929805 + 0.368052i \(0.119975\pi\)
\(230\) 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 0.305743 0.952114i \(-0.401095\pi\)
0.977427 + 0.211276i \(0.0677617\pi\)
\(234\) 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 \(-0.643034\pi\)
0.434385 0.900727i \(-0.356966\pi\)
\(240\) −0.205326 6.25312i −0.0132538 0.403637i
\(241\) 17.1553i 1.10507i 0.833489 + 0.552535i \(0.186340\pi\)
−0.833489 + 0.552535i \(0.813660\pi\)
\(242\) 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 0.816006 0.578044i \(-0.196184\pi\)
−0.908603 + 0.417660i \(0.862850\pi\)
\(252\) −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 −0.0753069 0.997160i \(-0.523994\pi\)
0.825913 + 0.563798i \(0.190660\pi\)
\(264\) 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 \(-0.951269\pi\)
0.988304 0.152494i \(-0.0487306\pi\)
\(272\) −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 \(0.333877\pi\)
−0.498521 + 0.866878i \(0.666123\pi\)
\(282\) 0.839801 0.0275756i 0.0500094 0.00164210i
\(283\) −19.7395 + 11.3966i −1.17339 + 0.677456i −0.954476 0.298288i \(-0.903584\pi\)
−0.218913 + 0.975744i \(0.570251\pi\)
\(284\) −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 0.981527 + 0.191321i \(0.0612772\pi\)
−0.325075 + 0.945688i \(0.605389\pi\)
\(294\) 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 \(-0.872248\pi\)
0.920537 0.390655i \(-0.127752\pi\)
\(308\) 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 −0.993914 0.110162i \(-0.964863\pi\)
0.592360 + 0.805673i \(0.298196\pi\)
\(312\) 35.8171 46.9283i 2.02774 2.65679i
\(313\) −16.5156 + 9.53529i −0.933518 + 0.538967i −0.887922 0.459993i \(-0.847852\pi\)
−0.0455953 + 0.998960i \(0.514518\pi\)
\(314\) 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 −0.472791 0.881175i \(-0.656753\pi\)
0.526724 + 0.850036i \(0.323420\pi\)
\(318\) −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 −0.995597 0.0937389i \(-0.970118\pi\)
0.578979 + 0.815343i \(0.303451\pi\)
\(332\) −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 \(0.179878\pi\)
−0.844534 + 0.535503i \(0.820122\pi\)
\(348\) −4.85435 7.80470i −0.260220 0.418376i
\(349\) 10.9042 + 6.29554i 0.583688 + 0.336993i 0.762598 0.646873i \(-0.223924\pi\)
−0.178909 + 0.983866i \(0.557257\pi\)
\(350\) −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 0.995889 + 0.0905820i \(0.0288727\pi\)
−0.419498 + 0.907756i \(0.637794\pi\)
\(354\) 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 −0.999237 0.0390450i \(-0.987568\pi\)
−0.465805 + 0.884888i \(0.654235\pi\)
\(360\) 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 −0.866305 0.499516i \(-0.833511\pi\)
−0.000558623 1.00000i \(0.500178\pi\)
\(368\) 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 −0.206508 0.978445i \(-0.566210\pi\)
0.950612 0.310381i \(-0.100457\pi\)
\(374\) −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 −0.334121 0.942530i \(-0.608439\pi\)
0.983316 0.181908i \(-0.0582273\pi\)
\(380\) 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 −0.688655 0.725089i \(-0.741799\pi\)
0.972273 + 0.233849i \(0.0751320\pi\)
\(384\) −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 0.659706 0.751524i \(-0.270681\pi\)
−0.320986 + 0.947084i \(0.604014\pi\)
\(390\) −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 0.999957 0.00929524i \(-0.00295881\pi\)
0.491928 + 0.870636i \(0.336292\pi\)
\(398\) 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 \(-0.939457\pi\)
0.981966 0.189058i \(-0.0605434\pi\)
\(402\) −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 \(-0.653971\pi\)
0.465070 0.885274i \(-0.346029\pi\)
\(410\) 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 −0.649966 0.759963i \(-0.725217\pi\)
0.983131 + 0.182905i \(0.0585501\pi\)
\(420\) 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 −0.665555 0.746349i \(-0.731805\pi\)
0.313580 + 0.949562i \(0.398472\pi\)
\(432\) −7.61126 77.0435i −0.366197 3.70676i
\(433\) −15.6475 + 9.03407i −0.751970 + 0.434150i −0.826405 0.563076i \(-0.809618\pi\)
0.0744355 + 0.997226i \(0.476285\pi\)
\(434\) −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 \(-0.746007\pi\)
0.698181 0.715922i \(-0.253993\pi\)
\(440\) 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 −0.340979 0.940071i \(-0.610758\pi\)
0.643636 + 0.765332i \(0.277425\pi\)
\(444\) −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 −0.463044 0.886336i \(-0.653243\pi\)
0.536067 + 0.844175i \(0.319909\pi\)
\(450\) 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 0.720795 0.693149i \(-0.243777\pi\)
−0.960682 + 0.277652i \(0.910444\pi\)
\(462\) −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 0.690531 0.723303i \(-0.257377\pi\)
−0.971664 + 0.236366i \(0.924044\pi\)
\(468\) 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 0.935322 + 0.353798i \(0.115110\pi\)
−0.161262 + 0.986912i \(0.551557\pi\)
\(480\) 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 0.124678 0.992197i \(-0.460210\pi\)
−0.796929 + 0.604073i \(0.793543\pi\)
\(492\) −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 0.962210 0.272309i \(-0.0877872\pi\)
−0.716931 + 0.697144i \(0.754454\pi\)
\(500\) −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 0.822775 0.568367i \(-0.192425\pi\)
−0.903608 + 0.428361i \(0.859091\pi\)
\(504\) −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 −0.533241 0.845964i \(-0.679026\pi\)
0.999246 + 0.0388183i \(0.0123593\pi\)
\(522\) 7.94565 0.522368i 0.347772 0.0228634i
\(523\) 1.94664i 0.0851206i 0.999094 + 0.0425603i \(0.0135515\pi\)
−0.999094 + 0.0425603i \(0.986449\pi\)
\(524\) 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 0.947351 + 0.320197i \(0.103749\pi\)
−0.196377 + 0.980529i \(0.562918\pi\)
\(542\) 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 −0.242989 0.970029i \(-0.578128\pi\)
0.718575 + 0.695449i \(0.244795\pi\)
\(558\) 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 \(0.209428\pi\)
−0.791255 + 0.611487i \(0.790572\pi\)
\(570\) −1.76777 0.944670i −0.0740439 0.0395679i
\(571\) −5.59184 + 9.68535i −0.234011 + 0.405319i −0.958985 0.283457i \(-0.908519\pi\)
0.724974 + 0.688777i \(0.241852\pi\)
\(572\) 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 0.983202 0.182522i \(-0.0584261\pi\)
0.333532 + 0.942739i \(0.391759\pi\)
\(578\) 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 −0.981390 0.192027i \(-0.938494\pi\)
0.656995 + 0.753895i \(0.271827\pi\)
\(588\) −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 0.989659 0.143443i \(-0.0458175\pi\)
−0.619055 + 0.785348i \(0.712484\pi\)
\(594\) 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 0.959805 0.280669i \(-0.0905564\pi\)
0.236836 + 0.971550i \(0.423890\pi\)
\(600\) 42.7298 + 68.7000i 1.74444 + 2.80466i
\(601\) 32.6930 + 18.8753i 1.33358 + 0.769941i 0.985846 0.167653i \(-0.0536190\pi\)
0.347731 + 0.937594i \(0.386952\pi\)
\(602\) −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 −0.403548 0.914959i \(-0.632223\pi\)
−0.994151 + 0.107997i \(0.965556\pi\)
\(608\) 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 0.890904 0.454191i \(-0.150072\pi\)
−0.838793 + 0.544450i \(0.816738\pi\)
\(614\) 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 −0.783556 0.621321i \(-0.786596\pi\)
0.146301 + 0.989240i \(0.453263\pi\)
\(618\) 0.616059 + 18.7618i 0.0247815 + 0.754709i
\(619\) 11.0135 + 6.35866i 0.442671 + 0.255576i 0.704730 0.709476i \(-0.251068\pi\)
−0.262059 + 0.965052i \(0.584402\pi\)
\(620\) 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 0.676539 0.736407i \(-0.263479\pi\)
−0.976017 + 0.217696i \(0.930146\pi\)
\(632\) 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 \(-0.784548\pi\)
0.779541 0.626351i \(-0.215452\pi\)
\(642\) −53.4835 28.5807i −2.11083 1.12799i
\(643\) −1.53491 + 0.886181i −0.0605309 + 0.0349476i −0.529960 0.848023i \(-0.677793\pi\)
0.469429 + 0.882970i \(0.344460\pi\)
\(644\) 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 0.960384 0.278681i \(-0.0898973\pi\)
−0.721537 + 0.692376i \(0.756564\pi\)
\(648\) 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 \(-0.729123\pi\)
0.659242 0.751931i \(-0.270877\pi\)
\(654\) 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 0.525327 0.850901i \(-0.323943\pi\)
0.999565 0.0294958i \(-0.00939016\pi\)
\(660\) 6.02666 + 9.68952i 0.234587 + 0.377164i
\(661\) 3.87819 2.23907i 0.150844 0.0870898i −0.422678 0.906280i \(-0.638910\pi\)
0.573522 + 0.819190i \(0.305577\pi\)
\(662\) −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 −0.994685 0.102963i \(-0.967168\pi\)
0.586512 + 0.809941i \(0.300501\pi\)
\(674\) 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 0.999839 0.0179629i \(-0.00571806\pi\)
−0.515476 + 0.856904i \(0.672385\pi\)
\(678\) 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 \(-0.759626\pi\)
0.728163 0.685404i \(-0.240374\pi\)
\(684\) 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 \(-0.703934\pi\)
0.597739 0.801691i \(-0.296066\pi\)
\(692\) −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 \(-0.906820\pi\)
0.957459 0.288571i \(-0.0931800\pi\)
\(702\) −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 0.480659 + 0.876908i \(0.340397\pi\)
−0.999754 + 0.0221907i \(0.992936\pi\)
\(710\) −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 0.228215 + 0.973611i \(0.426711\pi\)
−0.957279 + 0.289166i \(0.906622\pi\)
\(720\) −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 \(-0.785900\pi\)
0.782194 0.623035i \(-0.214100\pi\)
\(728\) 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 0.121209 0.992627i \(-0.461323\pi\)
0.920245 + 0.391343i \(0.127989\pi\)
\(734\) −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 −0.971772 0.235920i \(-0.924190\pi\)
0.281573 0.959540i \(-0.409144\pi\)
\(740\) 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 0.217709 0.976014i \(-0.430142\pi\)
−0.736398 + 0.676548i \(0.763475\pi\)
\(744\) 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 −0.873537 0.486757i \(-0.838180\pi\)
0.858313 + 0.513127i \(0.171513\pi\)
\(758\) 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 −0.970061 0.242861i \(-0.921914\pi\)
0.695354 + 0.718667i \(0.255247\pi\)
\(762\) 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 0.946773 0.321901i \(-0.104322\pi\)
0.194612 + 0.980880i \(0.437655\pi\)
\(770\) 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 \(-0.513793\pi\)
−0.0433