Properties

Label 384.2.w.a.227.51
Level $384$
Weight $2$
Character 384.227
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 227.51
Character \(\chi\) \(=\) 384.227
Dual form 384.2.w.a.203.51

$q$-expansion

\(f(q)\) \(=\) \(q+(1.16522 + 0.801409i) q^{2} +(-0.695195 - 1.58641i) q^{3} +(0.715486 + 1.86764i) q^{4} +(0.743132 + 1.39030i) q^{5} +(0.461309 - 2.40566i) q^{6} +(2.39691 - 0.476775i) q^{7} +(-0.663044 + 2.74961i) q^{8} +(-2.03341 + 2.20573i) q^{9} +O(q^{10})\) \(q+(1.16522 + 0.801409i) q^{2} +(-0.695195 - 1.58641i) q^{3} +(0.715486 + 1.86764i) q^{4} +(0.743132 + 1.39030i) q^{5} +(0.461309 - 2.40566i) q^{6} +(2.39691 - 0.476775i) q^{7} +(-0.663044 + 2.74961i) q^{8} +(-2.03341 + 2.20573i) q^{9} +(-0.248287 + 2.21556i) q^{10} +(1.22744 - 1.49564i) q^{11} +(2.46545 - 2.43343i) q^{12} +(-0.813326 + 1.52163i) q^{13} +(3.17503 + 1.36536i) q^{14} +(1.68897 - 2.14544i) q^{15} +(-2.97616 + 2.67254i) q^{16} +(1.98519 + 0.822292i) q^{17} +(-4.13707 + 0.940575i) q^{18} +(7.57656 - 2.29832i) q^{19} +(-2.06488 + 2.38264i) q^{20} +(-2.42268 - 3.47104i) q^{21} +(2.62887 - 0.759073i) q^{22} +(-5.64946 + 3.77485i) q^{23} +(4.82297 - 0.859655i) q^{24} +(1.39716 - 2.09099i) q^{25} +(-2.16715 + 1.12123i) q^{26} +(4.91281 + 1.69241i) q^{27} +(2.60540 + 4.13544i) q^{28} +(-5.74154 - 6.99608i) q^{29} +(3.68741 - 1.14636i) q^{30} +(0.0203731 + 0.0203731i) q^{31} +(-5.60969 + 0.728982i) q^{32} +(-3.22602 - 0.907467i) q^{33} +(1.65419 + 2.54910i) q^{34} +(2.44408 + 2.97812i) q^{35} +(-5.57439 - 2.21951i) q^{36} +(3.53137 + 1.07123i) q^{37} +(10.6703 + 3.39387i) q^{38} +(2.97935 + 0.232444i) q^{39} +(-4.31552 + 1.12149i) q^{40} +(-5.60494 + 3.74510i) q^{41} +(-0.0412413 - 5.98609i) q^{42} +(-0.787733 + 0.0775850i) q^{43} +(3.67154 + 1.22231i) q^{44} +(-4.57772 - 1.18790i) q^{45} +(-9.60808 - 0.128993i) q^{46} +(-2.76484 - 1.14524i) q^{47} +(6.30876 + 2.86348i) q^{48} +(-0.949293 + 0.393210i) q^{49} +(3.30374 - 1.31678i) q^{50} +(-0.0755986 - 3.72098i) q^{51} +(-3.42377 - 0.430299i) q^{52} +(1.17101 - 1.42688i) q^{53} +(4.36821 + 5.90921i) q^{54} +(2.99155 + 0.595056i) q^{55} +(-0.278310 + 6.90670i) q^{56} +(-8.91327 - 10.4218i) q^{57} +(-1.08344 - 12.7533i) q^{58} +(-5.16865 - 9.66987i) q^{59} +(5.21535 + 1.61935i) q^{60} +(-13.9729 - 1.37621i) q^{61} +(0.00741200 + 0.0400664i) q^{62} +(-3.82226 + 6.25642i) q^{63} +(-7.12074 - 3.64623i) q^{64} -2.71993 q^{65} +(-3.03178 - 3.64276i) q^{66} +(1.48173 - 15.0443i) q^{67} +(-0.115371 + 4.29596i) q^{68} +(9.91595 + 6.33812i) q^{69} +(0.461203 + 5.42889i) q^{70} +(-0.904468 + 0.179910i) q^{71} +(-4.71667 - 7.05358i) q^{72} +(1.60602 - 8.07399i) q^{73} +(3.25634 + 4.07829i) q^{74} +(-4.28847 - 0.762819i) q^{75} +(9.71336 + 12.5059i) q^{76} +(2.22898 - 4.17014i) q^{77} +(3.28532 + 2.65853i) q^{78} +(3.14593 + 7.59495i) q^{79} +(-5.92732 - 2.15171i) q^{80} +(-0.730501 - 8.97030i) q^{81} +(-9.53236 - 0.127976i) q^{82} +(-5.74249 + 1.74196i) q^{83} +(4.74925 - 7.00818i) q^{84} +(0.332023 + 3.37108i) q^{85} +(-0.980062 - 0.540893i) q^{86} +(-7.10719 + 13.9721i) q^{87} +(3.29859 + 4.36667i) q^{88} +(-6.36314 + 9.52311i) q^{89} +(-4.38207 - 5.05280i) q^{90} +(-1.22400 + 4.03498i) q^{91} +(-11.0922 - 7.85031i) q^{92} +(0.0181569 - 0.0464834i) q^{93} +(-2.30386 - 3.55023i) q^{94} +(8.82575 + 8.82575i) q^{95} +(5.05629 + 8.39249i) q^{96} +(-4.53403 + 4.53403i) q^{97} +(-1.42126 - 0.302595i) q^{98} +(0.803095 + 5.74866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} + O(q^{10}) \) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{27}{32}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.16522 + 0.801409i 0.823937 + 0.566682i
\(3\) −0.695195 1.58641i −0.401371 0.915916i
\(4\) 0.715486 + 1.86764i 0.357743 + 0.933820i
\(5\) 0.743132 + 1.39030i 0.332339 + 0.621762i 0.991480 0.130257i \(-0.0415802\pi\)
−0.659142 + 0.752019i \(0.729080\pi\)
\(6\) 0.461309 2.40566i 0.188329 0.982106i
\(7\) 2.39691 0.476775i 0.905947 0.180204i 0.279936 0.960019i \(-0.409687\pi\)
0.626011 + 0.779815i \(0.284687\pi\)
\(8\) −0.663044 + 2.74961i −0.234422 + 0.972135i
\(9\) −2.03341 + 2.20573i −0.677803 + 0.735244i
\(10\) −0.248287 + 2.21556i −0.0785153 + 0.700623i
\(11\) 1.22744 1.49564i 0.370088 0.450953i −0.554351 0.832283i \(-0.687034\pi\)
0.924439 + 0.381329i \(0.124534\pi\)
\(12\) 2.46545 2.43343i 0.711713 0.702471i
\(13\) −0.813326 + 1.52163i −0.225576 + 0.422023i −0.969094 0.246693i \(-0.920656\pi\)
0.743517 + 0.668717i \(0.233156\pi\)
\(14\) 3.17503 + 1.36536i 0.848561 + 0.364907i
\(15\) 1.68897 2.14544i 0.436090 0.553951i
\(16\) −2.97616 + 2.67254i −0.744040 + 0.668135i
\(17\) 1.98519 + 0.822292i 0.481479 + 0.199435i 0.610203 0.792245i \(-0.291088\pi\)
−0.128724 + 0.991681i \(0.541088\pi\)
\(18\) −4.13707 + 0.940575i −0.975116 + 0.221696i
\(19\) 7.57656 2.29832i 1.73818 0.527272i 0.747594 0.664156i \(-0.231209\pi\)
0.990587 + 0.136884i \(0.0437088\pi\)
\(20\) −2.06488 + 2.38264i −0.461722 + 0.532776i
\(21\) −2.42268 3.47104i −0.528672 0.757442i
\(22\) 2.62887 0.759073i 0.560476 0.161835i
\(23\) −5.64946 + 3.77485i −1.17799 + 0.787111i −0.981136 0.193321i \(-0.938074\pi\)
−0.196859 + 0.980432i \(0.563074\pi\)
\(24\) 4.82297 0.859655i 0.984484 0.175476i
\(25\) 1.39716 2.09099i 0.279431 0.418198i
\(26\) −2.16715 + 1.12123i −0.425013 + 0.219891i
\(27\) 4.91281 + 1.69241i 0.945472 + 0.325705i
\(28\) 2.60540 + 4.13544i 0.492374 + 0.781525i
\(29\) −5.74154 6.99608i −1.06618 1.29914i −0.952140 0.305663i \(-0.901122\pi\)
−0.114037 0.993477i \(-0.536378\pi\)
\(30\) 3.68741 1.14636i 0.673225 0.209296i
\(31\) 0.0203731 + 0.0203731i 0.00365912 + 0.00365912i 0.708934 0.705275i \(-0.249176\pi\)
−0.705275 + 0.708934i \(0.749176\pi\)
\(32\) −5.60969 + 0.728982i −0.991662 + 0.128867i
\(33\) −3.22602 0.907467i −0.561578 0.157970i
\(34\) 1.65419 + 2.54910i 0.283692 + 0.437167i
\(35\) 2.44408 + 2.97812i 0.413125 + 0.503395i
\(36\) −5.57439 2.21951i −0.929065 0.369918i
\(37\) 3.53137 + 1.07123i 0.580553 + 0.176109i 0.566884 0.823798i \(-0.308149\pi\)
0.0136694 + 0.999907i \(0.495649\pi\)
\(38\) 10.6703 + 3.39387i 1.73095 + 0.550558i
\(39\) 2.97935 + 0.232444i 0.477077 + 0.0372208i
\(40\) −4.31552 + 1.12149i −0.682344 + 0.177324i
\(41\) −5.60494 + 3.74510i −0.875344 + 0.584886i −0.910044 0.414511i \(-0.863952\pi\)
0.0346999 + 0.999398i \(0.488952\pi\)
\(42\) −0.0412413 5.98609i −0.00636367 0.923674i
\(43\) −0.787733 + 0.0775850i −0.120128 + 0.0118316i −0.157903 0.987455i \(-0.550473\pi\)
0.0377744 + 0.999286i \(0.487973\pi\)
\(44\) 3.67154 + 1.22231i 0.553506 + 0.184270i
\(45\) −4.57772 1.18790i −0.682407 0.177082i
\(46\) −9.60808 0.128993i −1.41663 0.0190189i
\(47\) −2.76484 1.14524i −0.403294 0.167050i 0.171810 0.985130i \(-0.445038\pi\)
−0.575104 + 0.818080i \(0.695038\pi\)
\(48\) 6.30876 + 2.86348i 0.910591 + 0.413308i
\(49\) −0.949293 + 0.393210i −0.135613 + 0.0561728i
\(50\) 3.30374 1.31678i 0.467219 0.186220i
\(51\) −0.0755986 3.72098i −0.0105859 0.521042i
\(52\) −3.42377 0.430299i −0.474792 0.0596717i
\(53\) 1.17101 1.42688i 0.160851 0.195997i −0.686348 0.727273i \(-0.740787\pi\)
0.847199 + 0.531276i \(0.178287\pi\)
\(54\) 4.36821 + 5.90921i 0.594438 + 0.804142i
\(55\) 2.99155 + 0.595056i 0.403380 + 0.0802373i
\(56\) −0.278310 + 6.90670i −0.0371908 + 0.922946i
\(57\) −8.91327 10.4218i −1.18059 1.38040i
\(58\) −1.08344 12.7533i −0.142263 1.67459i
\(59\) −5.16865 9.66987i −0.672901 1.25891i −0.954166 0.299279i \(-0.903254\pi\)
0.281264 0.959630i \(-0.409246\pi\)
\(60\) 5.21535 + 1.61935i 0.673299 + 0.209058i
\(61\) −13.9729 1.37621i −1.78905 0.176206i −0.851569 0.524243i \(-0.824348\pi\)
−0.937481 + 0.348037i \(0.886848\pi\)
\(62\) 0.00741200 + 0.0400664i 0.000941325 + 0.00508844i
\(63\) −3.82226 + 6.25642i −0.481559 + 0.788235i
\(64\) −7.12074 3.64623i −0.890093 0.455779i
\(65\) −2.71993 −0.337366
\(66\) −3.03178 3.64276i −0.373186 0.448393i
\(67\) 1.48173 15.0443i 0.181022 1.83795i −0.291427 0.956593i \(-0.594130\pi\)
0.472449 0.881358i \(-0.343370\pi\)
\(68\) −0.115371 + 4.29596i −0.0139908 + 0.520961i
\(69\) 9.91595 + 6.33812i 1.19374 + 0.763020i
\(70\) 0.461203 + 5.42889i 0.0551244 + 0.648876i
\(71\) −0.904468 + 0.179910i −0.107341 + 0.0213514i −0.248468 0.968640i \(-0.579927\pi\)
0.141128 + 0.989991i \(0.454927\pi\)
\(72\) −4.71667 7.05358i −0.555865 0.831273i
\(73\) 1.60602 8.07399i 0.187970 0.944990i −0.765485 0.643454i \(-0.777501\pi\)
0.953455 0.301536i \(-0.0974992\pi\)
\(74\) 3.25634 + 4.07829i 0.378541 + 0.474092i
\(75\) −4.28847 0.762819i −0.495190 0.0880827i
\(76\) 9.71336 + 12.5059i 1.11420 + 1.43452i
\(77\) 2.22898 4.17014i 0.254016 0.475231i
\(78\) 3.28532 + 2.65853i 0.371989 + 0.301019i
\(79\) 3.14593 + 7.59495i 0.353945 + 0.854499i 0.996125 + 0.0879450i \(0.0280300\pi\)
−0.642180 + 0.766554i \(0.721970\pi\)
\(80\) −5.92732 2.15171i −0.662694 0.240569i
\(81\) −0.730501 8.97030i −0.0811668 0.996701i
\(82\) −9.53236 0.127976i −1.05267 0.0141326i
\(83\) −5.74249 + 1.74196i −0.630320 + 0.191205i −0.589250 0.807951i \(-0.700577\pi\)
−0.0410699 + 0.999156i \(0.513077\pi\)
\(84\) 4.74925 7.00818i 0.518186 0.764655i
\(85\) 0.332023 + 3.37108i 0.0360129 + 0.365645i
\(86\) −0.980062 0.540893i −0.105683 0.0583260i
\(87\) −7.10719 + 13.9721i −0.761970 + 1.49796i
\(88\) 3.29859 + 4.36667i 0.351631 + 0.465489i
\(89\) −6.36314 + 9.52311i −0.674491 + 1.00945i 0.323508 + 0.946225i \(0.395138\pi\)
−0.997999 + 0.0632221i \(0.979862\pi\)
\(90\) −4.38207 5.05280i −0.461911 0.532612i
\(91\) −1.22400 + 4.03498i −0.128310 + 0.422980i
\(92\) −11.0922 7.85031i −1.15644 0.818452i
\(93\) 0.0181569 0.0464834i 0.00188278 0.00482011i
\(94\) −2.30386 3.55023i −0.237625 0.366178i
\(95\) 8.82575 + 8.82575i 0.905502 + 0.905502i
\(96\) 5.05629 + 8.39249i 0.516056 + 0.856555i
\(97\) −4.53403 + 4.53403i −0.460361 + 0.460361i −0.898774 0.438413i \(-0.855541\pi\)
0.438413 + 0.898774i \(0.355541\pi\)
\(98\) −1.42126 0.302595i −0.143569 0.0305667i
\(99\) 0.803095 + 5.74866i 0.0807141 + 0.577762i
\(100\) 4.90487 + 1.11331i 0.490487 + 0.111331i
\(101\) 11.5504 + 3.50377i 1.14930 + 0.348638i 0.806769 0.590867i \(-0.201214\pi\)
0.342536 + 0.939505i \(0.388714\pi\)
\(102\) 2.89394 4.39636i 0.286543 0.435304i
\(103\) −0.823456 0.550216i −0.0811375 0.0542144i 0.514340 0.857586i \(-0.328037\pi\)
−0.595477 + 0.803372i \(0.703037\pi\)
\(104\) −3.64461 3.24524i −0.357384 0.318222i
\(105\) 3.02542 5.94770i 0.295251 0.580436i
\(106\) 2.50800 0.724174i 0.243599 0.0703380i
\(107\) 13.2534 1.30534i 1.28125 0.126192i 0.565617 0.824668i \(-0.308638\pi\)
0.715633 + 0.698476i \(0.246138\pi\)
\(108\) 0.354235 + 10.3863i 0.0340863 + 0.999419i
\(109\) −0.167044 0.550670i −0.0159999 0.0527446i 0.948577 0.316547i \(-0.102523\pi\)
−0.964577 + 0.263802i \(0.915023\pi\)
\(110\) 3.00893 + 3.09083i 0.286891 + 0.294699i
\(111\) −0.755578 6.34692i −0.0717163 0.602423i
\(112\) −5.85939 + 7.82480i −0.553660 + 0.739374i
\(113\) 2.08075 0.861874i 0.195740 0.0810783i −0.282660 0.959220i \(-0.591217\pi\)
0.478400 + 0.878142i \(0.341217\pi\)
\(114\) −2.03385 19.2868i −0.190487 1.80638i
\(115\) −9.44648 5.04925i −0.880889 0.470845i
\(116\) 8.95818 15.7287i 0.831746 1.46038i
\(117\) −1.70248 4.88807i −0.157394 0.451902i
\(118\) 1.72689 15.4098i 0.158974 1.41858i
\(119\) 5.15037 + 1.02447i 0.472134 + 0.0939132i
\(120\) 4.77928 + 6.06654i 0.436287 + 0.553797i
\(121\) 1.41566 + 7.11701i 0.128696 + 0.647001i
\(122\) −15.1787 12.8016i −1.37421 1.15900i
\(123\) 9.83780 + 6.28817i 0.887044 + 0.566985i
\(124\) −0.0234730 + 0.0526263i −0.00210793 + 0.00472598i
\(125\) 11.7897 + 1.16118i 1.05450 + 0.103859i
\(126\) −9.46773 + 4.22692i −0.843453 + 0.376564i
\(127\) 11.9243i 1.05811i −0.848588 0.529055i \(-0.822547\pi\)
0.848588 0.529055i \(-0.177453\pi\)
\(128\) −5.37513 9.95530i −0.475099 0.879933i
\(129\) 0.670710 + 1.19573i 0.0590527 + 0.105278i
\(130\) −3.16932 2.17978i −0.277968 0.191179i
\(131\) 0.588284 5.97295i 0.0513986 0.521859i −0.934670 0.355518i \(-0.884305\pi\)
0.986068 0.166341i \(-0.0531954\pi\)
\(132\) −0.613350 6.67432i −0.0533852 0.580925i
\(133\) 17.0645 9.12119i 1.47968 0.790907i
\(134\) 13.7832 16.3425i 1.19068 1.41177i
\(135\) 1.29791 + 8.08798i 0.111706 + 0.696103i
\(136\) −3.57725 + 4.91329i −0.306747 + 0.421311i
\(137\) −0.423963 + 2.13141i −0.0362216 + 0.182098i −0.994661 0.103199i \(-0.967092\pi\)
0.958439 + 0.285297i \(0.0920922\pi\)
\(138\) 6.47485 + 15.3321i 0.551176 + 1.30515i
\(139\) 2.37386 + 1.94818i 0.201348 + 0.165242i 0.729664 0.683806i \(-0.239676\pi\)
−0.528316 + 0.849048i \(0.677176\pi\)
\(140\) −3.81336 + 6.69547i −0.322287 + 0.565871i
\(141\) 0.105289 + 5.18235i 0.00886693 + 0.436432i
\(142\) −1.19809 0.515214i −0.100541 0.0432358i
\(143\) 1.27750 + 3.08416i 0.106830 + 0.257910i
\(144\) 0.156841 11.9990i 0.0130701 0.999915i
\(145\) 5.45995 13.1815i 0.453424 1.09466i
\(146\) 8.34194 8.12092i 0.690384 0.672092i
\(147\) 1.28374 + 1.23261i 0.105881 + 0.101664i
\(148\) 0.525974 + 7.36178i 0.0432348 + 0.605134i
\(149\) 0.283844 + 2.88192i 0.0232534 + 0.236096i 0.999785 + 0.0207228i \(0.00659675\pi\)
−0.976532 + 0.215373i \(0.930903\pi\)
\(150\) −4.38569 4.32567i −0.358090 0.353190i
\(151\) 7.41777 + 11.1015i 0.603650 + 0.903426i 0.999892 0.0147206i \(-0.00468587\pi\)
−0.396242 + 0.918146i \(0.629686\pi\)
\(152\) 1.29591 + 22.3565i 0.105112 + 1.81335i
\(153\) −5.85046 + 2.70674i −0.472981 + 0.218827i
\(154\) 5.93925 3.07281i 0.478598 0.247614i
\(155\) −0.0131849 + 0.0434647i −0.00105903 + 0.00349117i
\(156\) 1.69756 + 5.73066i 0.135914 + 0.458820i
\(157\) −5.28097 + 4.33398i −0.421467 + 0.345889i −0.821098 0.570787i \(-0.806638\pi\)
0.399631 + 0.916676i \(0.369138\pi\)
\(158\) −2.42095 + 11.3710i −0.192601 + 0.904627i
\(159\) −3.07770 0.865745i −0.244078 0.0686581i
\(160\) −5.18224 7.25743i −0.409692 0.573750i
\(161\) −11.7415 + 11.7415i −0.925360 + 0.925360i
\(162\) 6.33769 11.0378i 0.497936 0.867214i
\(163\) 8.85377 7.26610i 0.693481 0.569125i −0.220251 0.975443i \(-0.570688\pi\)
0.913732 + 0.406318i \(0.133188\pi\)
\(164\) −11.0048 7.78844i −0.859327 0.608175i
\(165\) −1.13570 5.15951i −0.0884145 0.401667i
\(166\) −8.08730 2.57231i −0.627696 0.199650i
\(167\) 5.70653 + 3.81298i 0.441584 + 0.295057i 0.756417 0.654090i \(-0.226948\pi\)
−0.314832 + 0.949147i \(0.601948\pi\)
\(168\) 11.1504 4.35999i 0.860268 0.336380i
\(169\) 5.56856 + 8.33395i 0.428351 + 0.641073i
\(170\) −2.31474 + 4.19415i −0.177532 + 0.321677i
\(171\) −10.3367 + 21.3853i −0.790471 + 1.63537i
\(172\) −0.708513 1.41569i −0.0540236 0.107945i
\(173\) 4.93408 + 16.2655i 0.375131 + 1.23664i 0.917918 + 0.396770i \(0.129869\pi\)
−0.542787 + 0.839870i \(0.682631\pi\)
\(174\) −19.4788 + 10.5848i −1.47668 + 0.802433i
\(175\) 2.35192 5.67805i 0.177789 0.429220i
\(176\) 0.344102 + 7.73166i 0.0259377 + 0.582796i
\(177\) −11.7472 + 14.9221i −0.882972 + 1.12161i
\(178\) −15.0464 + 5.99706i −1.12777 + 0.449499i
\(179\) −8.03923 4.29706i −0.600880 0.321177i 0.142760 0.989757i \(-0.454402\pi\)
−0.743640 + 0.668580i \(0.766902\pi\)
\(180\) −1.05672 9.39947i −0.0787635 0.700595i
\(181\) −5.01422 4.11507i −0.372704 0.305871i 0.429331 0.903147i \(-0.358749\pi\)
−0.802035 + 0.597277i \(0.796249\pi\)
\(182\) −4.65990 + 3.72072i −0.345415 + 0.275798i
\(183\) 7.53066 + 23.1236i 0.556683 + 1.70934i
\(184\) −6.63353 18.0367i −0.489031 1.32969i
\(185\) 1.13494 + 5.70573i 0.0834425 + 0.419494i
\(186\) 0.0584091 0.0396124i 0.00428276 0.00290453i
\(187\) 3.66656 1.95982i 0.268126 0.143316i
\(188\) 0.160682 5.98314i 0.0117189 0.436365i
\(189\) 12.5825 + 1.71425i 0.915240 + 0.124693i
\(190\) 3.21092 + 17.3570i 0.232945 + 1.25921i
\(191\) 1.61790i 0.117067i −0.998285 0.0585336i \(-0.981358\pi\)
0.998285 0.0585336i \(-0.0186425\pi\)
\(192\) −0.834119 + 13.8313i −0.0601974 + 0.998186i
\(193\) 22.4990i 1.61952i −0.586764 0.809758i \(-0.699598\pi\)
0.586764 0.809758i \(-0.300402\pi\)
\(194\) −8.91676 + 1.64954i −0.640186 + 0.118430i
\(195\) 1.89088 + 4.31493i 0.135409 + 0.308999i
\(196\) −1.41358 1.49160i −0.100970 0.106543i
\(197\) 2.48776 1.32973i 0.177245 0.0947396i −0.380388 0.924827i \(-0.624210\pi\)
0.557633 + 0.830087i \(0.311710\pi\)
\(198\) −3.67125 + 7.34208i −0.260904 + 0.521779i
\(199\) 0.814711 + 4.09583i 0.0577534 + 0.290346i 0.998858 0.0477685i \(-0.0152110\pi\)
−0.941105 + 0.338114i \(0.890211\pi\)
\(200\) 4.82304 + 5.22806i 0.341041 + 0.369680i
\(201\) −24.8965 + 8.10807i −1.75607 + 0.571899i
\(202\) 10.6508 + 13.3392i 0.749388 + 0.938546i
\(203\) −17.0975 14.0316i −1.20001 0.984822i
\(204\) 6.89537 2.80350i 0.482772 0.196284i
\(205\) −9.37203 5.00945i −0.654571 0.349875i
\(206\) −0.518561 1.30105i −0.0361299 0.0906484i
\(207\) 3.16136 20.1370i 0.219730 1.39962i
\(208\) −1.64602 6.70225i −0.114131 0.464718i
\(209\) 5.86232 14.1529i 0.405505 0.978975i
\(210\) 8.29182 4.50579i 0.572190 0.310929i
\(211\) 4.21119 + 13.8824i 0.289911 + 0.955707i 0.974046 + 0.226352i \(0.0726799\pi\)
−0.684135 + 0.729355i \(0.739820\pi\)
\(212\) 3.50274 + 1.16611i 0.240569 + 0.0800890i
\(213\) 0.914193 + 1.30979i 0.0626394 + 0.0897451i
\(214\) 16.4892 + 9.10035i 1.12718 + 0.622087i
\(215\) −0.693256 1.03753i −0.0472797 0.0707591i
\(216\) −7.91089 + 12.3862i −0.538268 + 0.842774i
\(217\) 0.0585459 + 0.0391191i 0.00397435 + 0.00265558i
\(218\) 0.246669 0.775523i 0.0167065 0.0525251i
\(219\) −13.9252 + 3.06519i −0.940976 + 0.207127i
\(220\) 1.02906 + 6.01289i 0.0693792 + 0.405389i
\(221\) −2.86583 + 2.35192i −0.192777 + 0.158208i
\(222\) 4.20606 8.00110i 0.282293 0.536999i
\(223\) −8.09991 + 8.09991i −0.542410 + 0.542410i −0.924235 0.381825i \(-0.875296\pi\)
0.381825 + 0.924235i \(0.375296\pi\)
\(224\) −13.0984 + 4.42186i −0.875171 + 0.295448i
\(225\) 1.77118 + 7.33359i 0.118078 + 0.488906i
\(226\) 3.11525 + 0.663256i 0.207223 + 0.0441191i
\(227\) 20.6357 16.9353i 1.36964 1.12403i 0.390554 0.920580i \(-0.372284\pi\)
0.979085 0.203453i \(-0.0652164\pi\)
\(228\) 13.0868 24.1034i 0.866693 1.59629i
\(229\) −7.22102 + 23.8045i −0.477179 + 1.57305i 0.306493 + 0.951873i \(0.400844\pi\)
−0.783672 + 0.621175i \(0.786656\pi\)
\(230\) −6.96073 13.4540i −0.458977 0.887130i
\(231\) −8.16513 0.637031i −0.537226 0.0419136i
\(232\) 23.0434 11.1483i 1.51287 0.731921i
\(233\) 3.74619 + 5.60657i 0.245421 + 0.367299i 0.933645 0.358200i \(-0.116609\pi\)
−0.688224 + 0.725498i \(0.741609\pi\)
\(234\) 1.93358 7.06007i 0.126402 0.461531i
\(235\) −0.462420 4.69503i −0.0301650 0.306270i
\(236\) 14.3617 16.5718i 0.934869 1.07873i
\(237\) 9.86169 10.2707i 0.640585 0.667154i
\(238\) 5.18030 + 5.32129i 0.335789 + 0.344928i
\(239\) 7.16252 17.2919i 0.463305 1.11852i −0.503727 0.863863i \(-0.668038\pi\)
0.967032 0.254654i \(-0.0819617\pi\)
\(240\) 0.707141 + 10.8990i 0.0456457 + 0.703529i
\(241\) 2.16739 + 5.23254i 0.139614 + 0.337057i 0.978185 0.207734i \(-0.0666089\pi\)
−0.838572 + 0.544791i \(0.816609\pi\)
\(242\) −4.05408 + 9.42742i −0.260606 + 0.606017i
\(243\) −13.7228 + 7.39499i −0.880316 + 0.474389i
\(244\) −7.42716 27.0811i −0.475475 1.73369i
\(245\) −1.25213 1.02760i −0.0799957 0.0656508i
\(246\) 6.42382 + 15.2112i 0.409568 + 0.969832i
\(247\) −2.66502 + 13.3980i −0.169571 + 0.852493i
\(248\) −0.0695264 + 0.0425099i −0.00441493 + 0.00269938i
\(249\) 6.75562 + 7.89895i 0.428120 + 0.500575i
\(250\) 12.8070 + 10.8014i 0.809986 + 0.683139i
\(251\) −21.6978 + 11.5977i −1.36956 + 0.732043i −0.981835 0.189734i \(-0.939237\pi\)
−0.387720 + 0.921777i \(0.626737\pi\)
\(252\) −14.4195 2.66223i −0.908344 0.167704i
\(253\) −1.28856 + 13.0830i −0.0810112 + 0.822521i
\(254\) 9.55624 13.8944i 0.599612 0.871815i
\(255\) 5.11711 2.87029i 0.320446 0.179744i
\(256\) 1.71505 15.9078i 0.107191 0.994238i
\(257\) 12.6245i 0.787492i 0.919219 + 0.393746i \(0.128821\pi\)
−0.919219 + 0.393746i \(0.871179\pi\)
\(258\) −0.176746 + 1.93081i −0.0110037 + 0.120207i
\(259\) 8.97511 + 0.883971i 0.557686 + 0.0549273i
\(260\) −1.94607 5.07985i −0.120690 0.315039i
\(261\) 27.1064 + 1.56161i 1.67784 + 0.0966609i
\(262\) 5.47226 6.48836i 0.338077 0.400852i
\(263\) −5.20776 26.1812i −0.321124 1.61440i −0.717668 0.696386i \(-0.754790\pi\)
0.396543 0.918016i \(-0.370210\pi\)
\(264\) 4.63417 8.26861i 0.285214 0.508898i
\(265\) 2.85401 + 0.567698i 0.175320 + 0.0348734i
\(266\) 27.1938 + 3.04747i 1.66736 + 0.186853i
\(267\) 19.5312 + 3.47414i 1.19529 + 0.212614i
\(268\) 29.1575 7.99663i 1.78108 0.488472i
\(269\) 7.14509 + 3.81913i 0.435644 + 0.232857i 0.674614 0.738170i \(-0.264310\pi\)
−0.238970 + 0.971027i \(0.576810\pi\)
\(270\) −4.96943 + 10.4645i −0.302430 + 0.636846i
\(271\) −26.2774 + 10.8844i −1.59624 + 0.661183i −0.990877 0.134769i \(-0.956971\pi\)
−0.605359 + 0.795952i \(0.706971\pi\)
\(272\) −8.10585 + 2.85823i −0.491489 + 0.173305i
\(273\) 7.25205 0.863331i 0.438914 0.0522512i
\(274\) −2.20214 + 2.14379i −0.133036 + 0.129511i
\(275\) −1.41245 4.65622i −0.0851738 0.280781i
\(276\) −4.74261 + 23.0543i −0.285472 + 1.38770i
\(277\) 20.2080 1.99031i 1.21418 0.119586i 0.529424 0.848358i \(-0.322408\pi\)
0.684757 + 0.728771i \(0.259908\pi\)
\(278\) 1.20479 + 4.17250i 0.0722584 + 0.250250i
\(279\) −0.0863645 + 0.00351076i −0.00517050 + 0.000210183i
\(280\) −9.80922 + 4.74565i −0.586213 + 0.283607i
\(281\) −1.49681 1.00014i −0.0892922 0.0596632i 0.510123 0.860102i \(-0.329600\pi\)
−0.599415 + 0.800439i \(0.704600\pi\)
\(282\) −4.03050 + 6.12296i −0.240013 + 0.364617i
\(283\) 3.07248 + 0.932027i 0.182640 + 0.0554033i 0.380280 0.924871i \(-0.375828\pi\)
−0.197640 + 0.980275i \(0.563328\pi\)
\(284\) −0.983141 1.56050i −0.0583387 0.0925985i
\(285\) 7.86566 20.1369i 0.465921 1.19281i
\(286\) −0.983101 + 4.61753i −0.0581320 + 0.273040i
\(287\) −11.6490 + 11.6490i −0.687616 + 0.687616i
\(288\) 9.79885 13.8558i 0.577403 0.816460i
\(289\) −8.75600 8.75600i −0.515059 0.515059i
\(290\) 16.9258 10.9837i 0.993918 0.644985i
\(291\) 10.3449 + 4.04080i 0.606427 + 0.236876i
\(292\) 16.2284 2.77737i 0.949695 0.162533i
\(293\) −8.08884 + 26.6653i −0.472555 + 1.55780i 0.319641 + 0.947539i \(0.396438\pi\)
−0.792196 + 0.610266i \(0.791062\pi\)
\(294\) 0.508011 + 2.46507i 0.0296278 + 0.143766i
\(295\) 9.60305 14.3720i 0.559111 0.836769i
\(296\) −5.28692 + 8.99963i −0.307296 + 0.523093i
\(297\) 8.56144 5.27048i 0.496785 0.305824i
\(298\) −1.97885 + 3.58555i −0.114632 + 0.207705i
\(299\) −1.14906 11.6666i −0.0664516 0.674695i
\(300\) −1.64367 8.55511i −0.0948973 0.493929i
\(301\) −1.85114 + 0.561536i −0.106698 + 0.0323664i
\(302\) −0.253477 + 18.8804i −0.0145860 + 1.08644i
\(303\) −2.47134 20.7595i −0.141975 1.19260i
\(304\) −16.4067 + 27.0888i −0.940988 + 1.55365i
\(305\) −8.47038 20.4493i −0.485012 1.17092i
\(306\) −8.98629 1.53466i −0.513712 0.0877306i
\(307\) 10.0361 18.7763i 0.572792 1.07162i −0.414100 0.910232i \(-0.635903\pi\)
0.986891 0.161386i \(-0.0515965\pi\)
\(308\) 9.38312 + 1.17927i 0.534653 + 0.0671949i
\(309\) −0.300407 + 1.68885i −0.0170895 + 0.0960752i
\(310\) −0.0501963 + 0.0400795i −0.00285096 + 0.00227637i
\(311\) 4.15983 20.9129i 0.235882 1.18586i −0.663323 0.748333i \(-0.730854\pi\)
0.899205 0.437527i \(-0.144146\pi\)
\(312\) −2.61457 + 8.03793i −0.148021 + 0.455058i
\(313\) −16.4972 + 3.28150i −0.932479 + 0.185482i −0.637877 0.770138i \(-0.720187\pi\)
−0.294602 + 0.955620i \(0.595187\pi\)
\(314\) −9.62680 + 0.817832i −0.543272 + 0.0461529i
\(315\) −11.5388 0.664751i −0.650135 0.0374545i
\(316\) −11.9338 + 11.3095i −0.671327 + 0.636212i
\(317\) 3.43101 34.8356i 0.192705 1.95656i −0.0862862 0.996270i \(-0.527500\pi\)
0.278991 0.960294i \(-0.410000\pi\)
\(318\) −2.89239 3.47528i −0.162197 0.194884i
\(319\) −17.5110 −0.980430
\(320\) −0.222292 12.6096i −0.0124265 0.704899i
\(321\) −11.2845 20.1178i −0.629838 1.12287i
\(322\) −23.0912 + 4.27171i −1.28682 + 0.238053i
\(323\) 16.9308 + 1.66754i 0.942054 + 0.0927843i
\(324\) 16.2306 7.78244i 0.901702 0.432358i
\(325\) 2.04537 + 3.82661i 0.113456 + 0.212262i
\(326\) 16.1397 1.37113i 0.893897 0.0759398i
\(327\) −0.757461 + 0.647823i −0.0418877 + 0.0358247i
\(328\) −6.58125 17.8946i −0.363389 0.988063i
\(329\) −7.17310 1.42682i −0.395466 0.0786631i
\(330\) 2.81153 6.92214i 0.154770 0.381051i
\(331\) −15.8196 + 19.2763i −0.869527 + 1.05952i 0.128174 + 0.991752i \(0.459088\pi\)
−0.997701 + 0.0677695i \(0.978412\pi\)
\(332\) −7.36203 9.47855i −0.404044 0.520203i
\(333\) −9.54356 + 5.61100i −0.522984 + 0.307481i
\(334\) 3.59361 + 9.01623i 0.196634 + 0.493346i
\(335\) 22.0172 9.11983i 1.20293 0.498270i
\(336\) 16.4868 + 3.85564i 0.899427 + 0.210343i
\(337\) 14.4152 + 5.97097i 0.785245 + 0.325259i 0.739030 0.673672i \(-0.235284\pi\)
0.0462151 + 0.998932i \(0.485284\pi\)
\(338\) −0.190287 + 14.1736i −0.0103502 + 0.770942i
\(339\) −2.81381 2.70175i −0.152825 0.146739i
\(340\) −6.05842 + 3.03206i −0.328564 + 0.164437i
\(341\) 0.0554777 0.00546408i 0.00300429 0.000295896i
\(342\) −29.1830 + 16.6346i −1.57803 + 0.899498i
\(343\) −16.3119 + 10.8993i −0.880761 + 0.588505i
\(344\) 0.308973 2.21740i 0.0166587 0.119554i
\(345\) −1.44305 + 18.4962i −0.0776910 + 0.995803i
\(346\) −7.28600 + 22.9071i −0.391698 + 1.23149i
\(347\) −16.8820 5.12110i −0.906273 0.274915i −0.197460 0.980311i \(-0.563269\pi\)
−0.708813 + 0.705396i \(0.750769\pi\)
\(348\) −31.1799 3.27683i −1.67142 0.175657i
\(349\) 7.69801 + 9.38006i 0.412065 + 0.502103i 0.937140 0.348953i \(-0.113463\pi\)
−0.525075 + 0.851056i \(0.675963\pi\)
\(350\) 7.29096 4.73133i 0.389718 0.252900i
\(351\) −6.57094 + 6.09899i −0.350731 + 0.325540i
\(352\) −5.79527 + 9.28487i −0.308889 + 0.494885i
\(353\) 2.12206 + 2.12206i 0.112946 + 0.112946i 0.761321 0.648375i \(-0.224551\pi\)
−0.648375 + 0.761321i \(0.724551\pi\)
\(354\) −25.6467 + 7.97321i −1.36311 + 0.423772i
\(355\) −0.922268 1.12379i −0.0489489 0.0596444i
\(356\) −22.3385 5.07040i −1.18394 0.268731i
\(357\) −1.95527 8.88282i −0.103484 0.470128i
\(358\) −5.92379 11.4497i −0.313082 0.605137i
\(359\) −19.0027 + 28.4396i −1.00293 + 1.50098i −0.143548 + 0.989643i \(0.545851\pi\)
−0.859378 + 0.511341i \(0.829149\pi\)
\(360\) 6.30151 11.7993i 0.332119 0.621880i
\(361\) 36.3240 24.2709i 1.91179 1.27742i
\(362\) −2.54483 8.81341i −0.133753 0.463223i
\(363\) 10.3063 7.19353i 0.540943 0.377562i
\(364\) −8.41164 + 0.600984i −0.440890 + 0.0315001i
\(365\) 12.4188 3.76719i 0.650028 0.197184i
\(366\) −9.75654 + 32.9792i −0.509982 + 1.72385i
\(367\) 6.18749 + 2.56294i 0.322984 + 0.133784i 0.538284 0.842764i \(-0.319073\pi\)
−0.215300 + 0.976548i \(0.569073\pi\)
\(368\) 6.72526 26.3330i 0.350579 1.37270i
\(369\) 3.13644 19.9783i 0.163277 1.04003i
\(370\) −3.25017 + 7.55800i −0.168968 + 0.392922i
\(371\) 2.12651 3.97841i 0.110403 0.206549i
\(372\) 0.0998053 0.000652260i 0.00517466 3.38181e-5i
\(373\) 5.05045 6.15399i 0.261502 0.318641i −0.625663 0.780094i \(-0.715171\pi\)
0.887165 + 0.461452i \(0.152671\pi\)
\(374\) 5.84298 + 0.654793i 0.302133 + 0.0338586i
\(375\) −6.35400 19.5105i −0.328119 1.00752i
\(376\) 4.98217 6.84291i 0.256936 0.352896i
\(377\) 15.3152 3.04638i 0.788771 0.156896i
\(378\) 13.2876 + 12.0812i 0.683439 + 0.621390i
\(379\) −16.4110 30.7029i −0.842977 1.57710i −0.816424 0.577452i \(-0.804047\pi\)
−0.0265528 0.999647i \(-0.508453\pi\)
\(380\) −10.1686 + 22.7980i −0.521639 + 1.16951i
\(381\) −18.9168 + 8.28971i −0.969139 + 0.424694i
\(382\) 1.29660 1.88521i 0.0663399 0.0964559i
\(383\) 4.56629 0.233326 0.116663 0.993172i \(-0.462780\pi\)
0.116663 + 0.993172i \(0.462780\pi\)
\(384\) −12.0565 + 15.4480i −0.615253 + 0.788330i
\(385\) 7.45418 0.379900
\(386\) 18.0309 26.2164i 0.917751 1.33438i
\(387\) 1.43065 1.89529i 0.0727241 0.0963430i
\(388\) −11.7120 5.22390i −0.594585 0.265203i
\(389\) 4.84820 + 9.07034i 0.245813 + 0.459884i 0.974324 0.225150i \(-0.0722872\pi\)
−0.728511 + 0.685034i \(0.759787\pi\)
\(390\) −1.25473 + 6.54322i −0.0635357 + 0.331329i
\(391\) −14.3193 + 2.84828i −0.724157 + 0.144044i
\(392\) −0.451752 2.87090i −0.0228169 0.145002i
\(393\) −9.88454 + 3.21910i −0.498609 + 0.162382i
\(394\) 3.96445 + 0.444276i 0.199726 + 0.0223823i
\(395\) −8.22143 + 10.0178i −0.413665 + 0.504052i
\(396\) −10.1618 + 5.61298i −0.510651 + 0.282063i
\(397\) −13.5470 + 25.3446i −0.679904 + 1.27201i 0.271016 + 0.962575i \(0.412640\pi\)
−0.950920 + 0.309436i \(0.899860\pi\)
\(398\) −2.33312 + 5.42547i −0.116949 + 0.271954i
\(399\) −26.3331 20.7304i −1.31831 1.03782i
\(400\) 1.43010 + 9.95708i 0.0715051 + 0.497854i
\(401\) 7.90607 + 3.27480i 0.394810 + 0.163536i 0.571251 0.820776i \(-0.306458\pi\)
−0.176441 + 0.984311i \(0.556458\pi\)
\(402\) −35.5079 10.5046i −1.77097 0.523922i
\(403\) −0.0475703 + 0.0144303i −0.00236964 + 0.000718823i
\(404\) 1.72035 + 24.0788i 0.0855908 + 1.19797i
\(405\) 11.9286 7.68174i 0.592736 0.381709i
\(406\) −8.67737 30.0520i −0.430651 1.49146i
\(407\) 5.93673 3.96679i 0.294273 0.196627i
\(408\) 10.2814 + 2.25931i 0.509004 + 0.111852i
\(409\) −2.18606 + 3.27168i −0.108094 + 0.161774i −0.881573 0.472048i \(-0.843515\pi\)
0.773479 + 0.633822i \(0.218515\pi\)
\(410\) −6.90587 13.3480i −0.341057 0.659209i
\(411\) 3.67603 0.809162i 0.181325 0.0399130i
\(412\) 0.438434 1.93159i 0.0216001 0.0951627i
\(413\) −16.9991 20.7135i −0.836473 1.01925i
\(414\) 19.8217 20.9305i 0.974182 1.02868i
\(415\) −6.68928 6.68928i −0.328364 0.328364i
\(416\) 3.45327 9.12875i 0.169310 0.447574i
\(417\) 1.44032 5.12029i 0.0705326 0.250742i
\(418\) 18.1732 11.7931i 0.888878 0.576821i
\(419\) 15.3755 + 18.7351i 0.751143 + 0.915270i 0.998560 0.0536386i \(-0.0170819\pi\)
−0.247417 + 0.968909i \(0.579582\pi\)
\(420\) 13.2728 + 1.39490i 0.647646 + 0.0680640i
\(421\) −28.5500 8.66054i −1.39144 0.422089i −0.496408 0.868089i \(-0.665348\pi\)
−0.895033 + 0.446001i \(0.852848\pi\)
\(422\) −6.21855 + 19.5510i −0.302714 + 0.951729i
\(423\) 8.14814 3.76977i 0.396176 0.183293i
\(424\) 3.14694 + 4.16591i 0.152829 + 0.202314i
\(425\) 4.49303 3.00214i 0.217944 0.145625i
\(426\) 0.0155623 + 2.25884i 0.000753995 + 0.109441i
\(427\) −34.1480 + 3.36328i −1.65254 + 0.162761i
\(428\) 11.9205 + 23.8185i 0.576199 + 1.15131i
\(429\) 4.00463 4.17073i 0.193345 0.201365i
\(430\) 0.0236897 1.76454i 0.00114242 0.0850935i
\(431\) −12.4113 5.14092i −0.597830 0.247629i 0.0631853 0.998002i \(-0.479874\pi\)
−0.661015 + 0.750373i \(0.729874\pi\)
\(432\) −19.1444 + 8.09281i −0.921083 + 0.389366i
\(433\) 30.7891 12.7532i 1.47963 0.612882i 0.510596 0.859821i \(-0.329425\pi\)
0.969031 + 0.246939i \(0.0794247\pi\)
\(434\) 0.0368686 + 0.0925017i 0.00176975 + 0.00444022i
\(435\) −24.7070 + 0.501968i −1.18461 + 0.0240675i
\(436\) 0.908935 0.705974i 0.0435301 0.0338100i
\(437\) −34.1277 + 41.5847i −1.63255 + 1.98926i
\(438\) −18.6824 7.58814i −0.892680 0.362575i
\(439\) 31.4610 + 6.25799i 1.50155 + 0.298678i 0.876308 0.481751i \(-0.159999\pi\)
0.625245 + 0.780428i \(0.284999\pi\)
\(440\) −3.61970 + 7.83105i −0.172562 + 0.373331i
\(441\) 1.06298 2.89344i 0.0506183 0.137783i
\(442\) −5.22418 + 0.443813i −0.248489 + 0.0211100i
\(443\) −7.37899 13.8051i −0.350587 0.655901i 0.643385 0.765543i \(-0.277530\pi\)
−0.993971 + 0.109642i \(0.965030\pi\)
\(444\) 11.3132 5.95228i 0.536899 0.282483i
\(445\) −17.9687 1.76976i −0.851796 0.0838946i
\(446\) −15.9295 + 2.94685i −0.754285 + 0.139537i
\(447\) 4.37458 2.45379i 0.206911 0.116060i
\(448\) −18.8062 5.34469i −0.888510 0.252513i
\(449\) 3.33595 0.157433 0.0787167 0.996897i \(-0.474918\pi\)
0.0787167 + 0.996897i \(0.474918\pi\)
\(450\) −3.81339 + 9.96470i −0.179765 + 0.469741i
\(451\) −1.27841 + 12.9799i −0.0601978 + 0.611199i
\(452\) 3.09842 + 3.26943i 0.145737 + 0.153781i
\(453\) 12.4547 19.4853i 0.585174 0.915501i
\(454\) 37.6172 3.19572i 1.76546 0.149983i
\(455\) −6.51943 + 1.29679i −0.305636 + 0.0607947i
\(456\) 34.5657 17.5980i 1.61869 0.824100i
\(457\) −4.74309 + 23.8451i −0.221872 + 1.11543i 0.695845 + 0.718192i \(0.255030\pi\)
−0.917717 + 0.397235i \(0.869970\pi\)
\(458\) −27.4913 + 21.9506i −1.28458 + 1.02568i
\(459\) 8.36121 + 7.39953i 0.390268 + 0.345380i
\(460\) 2.67136 21.2553i 0.124553 0.991033i
\(461\) −10.8440 + 20.2877i −0.505056 + 0.944892i 0.492173 + 0.870497i \(0.336203\pi\)
−0.997229 + 0.0743952i \(0.976297\pi\)
\(462\) −9.00367 7.28590i −0.418889 0.338971i
\(463\) 12.4373 + 30.0264i 0.578012 + 1.39544i 0.894595 + 0.446879i \(0.147464\pi\)
−0.316583 + 0.948565i \(0.602536\pi\)
\(464\) 35.7850 + 5.47697i 1.66128 + 0.254262i
\(465\) 0.0781190 0.00929979i 0.00362268 0.000431267i
\(466\) −0.128013 + 9.53513i −0.00593011 + 0.441706i
\(467\) −7.97415 + 2.41893i −0.369000 + 0.111935i −0.469338 0.883019i \(-0.655507\pi\)
0.100338 + 0.994953i \(0.468007\pi\)
\(468\) 7.91106 6.67695i 0.365689 0.308642i
\(469\) −3.62116 36.7662i −0.167210 1.69771i
\(470\) 3.22382 5.84134i 0.148704 0.269441i
\(471\) 10.5468 + 5.36484i 0.485970 + 0.247199i
\(472\) 30.0154 7.80024i 1.38157 0.359035i
\(473\) −0.850858 + 1.27340i −0.0391225 + 0.0585509i
\(474\) 19.7221 4.06442i 0.905866 0.186685i
\(475\) 5.77986 19.0536i 0.265198 0.874241i
\(476\) 1.77167 + 10.3520i 0.0812044 + 0.474485i
\(477\) 0.766172 + 5.48436i 0.0350806 + 0.251112i
\(478\) 22.2038 14.4087i 1.01558 0.659041i
\(479\) −6.87469 6.87469i −0.314113 0.314113i 0.532388 0.846500i \(-0.321295\pi\)
−0.846500 + 0.532388i \(0.821295\pi\)
\(480\) −7.91061 + 13.2665i −0.361068 + 0.605530i
\(481\) −4.50217 + 4.50217i −0.205281 + 0.205281i
\(482\) −1.66792 + 7.83403i −0.0759715 + 0.356830i
\(483\) 26.7895 + 10.4642i 1.21896 + 0.476139i
\(484\) −12.2791 + 7.73606i −0.558142 + 0.351639i
\(485\) −9.67305 2.93429i −0.439230 0.133239i
\(486\) −21.9165 2.38075i −0.994152 0.107993i
\(487\) 19.0885 + 12.7545i 0.864982 + 0.577963i 0.906989 0.421155i \(-0.138375\pi\)
−0.0420067 + 0.999117i \(0.513375\pi\)
\(488\) 13.0487 37.5076i 0.590688 1.69789i
\(489\) −17.6821 8.99437i −0.799613 0.406740i
\(490\) −0.635484 2.20085i −0.0287083 0.0994242i
\(491\) −18.6758 + 1.83940i −0.842826 + 0.0830111i −0.510208 0.860051i \(-0.670432\pi\)
−0.332617 + 0.943062i \(0.607932\pi\)
\(492\) −4.70523 + 22.8726i −0.212128 + 1.03117i
\(493\) −5.64521 18.6098i −0.254248 0.838142i
\(494\) −13.8426 + 13.4758i −0.622809 + 0.606307i
\(495\) −7.39557 + 5.38856i −0.332406 + 0.242198i
\(496\) −0.115082 0.00618566i −0.00516732 0.000277744i
\(497\) −2.08215 + 0.862455i −0.0933973 + 0.0386864i
\(498\) 1.54151 + 14.6180i 0.0690767 + 0.655050i
\(499\) −31.7857 16.9898i −1.42292 0.760569i −0.432897 0.901443i \(-0.642509\pi\)
−0.990027 + 0.140875i \(0.955009\pi\)
\(500\) 6.26667 + 22.8497i 0.280254 + 1.02187i
\(501\) 2.08181 11.7037i 0.0930084 0.522881i
\(502\) −34.5773 3.87491i −1.54326 0.172946i
\(503\) 39.9397 + 7.94451i 1.78083 + 0.354228i 0.972210 0.234110i \(-0.0752176\pi\)
0.808615 + 0.588338i \(0.200218\pi\)
\(504\) −14.6684 14.6580i −0.653383 0.652920i
\(505\) 3.71216 + 18.6623i 0.165189 + 0.830460i
\(506\) −11.9863 + 14.2119i −0.532856 + 0.631797i
\(507\) 9.34984 14.6278i 0.415241 0.649641i
\(508\) 22.2703 8.53166i 0.988084 0.378531i
\(509\) 11.9529 + 1.17725i 0.529801 + 0.0521809i 0.359382 0.933191i \(-0.382988\pi\)
0.170420 + 0.985372i \(0.445488\pi\)
\(510\) 8.26284 + 0.756379i 0.365885 + 0.0334930i
\(511\) 20.1183i 0.889983i
\(512\) 14.7471 17.1617i 0.651735 0.758446i
\(513\) 41.1119 + 1.53141i 1.81514 + 0.0676135i
\(514\) −10.1174 + 14.7103i −0.446258 + 0.648843i
\(515\) 0.153030 1.55374i 0.00674329 0.0684658i
\(516\) −1.75332 + 2.10817i −0.0771854 + 0.0928072i
\(517\) −5.10655 + 2.72951i −0.224586 + 0.120044i
\(518\) 9.74957 + 8.22276i 0.428372 + 0.361287i
\(519\) 22.3736 19.1351i 0.982092 0.839940i
\(520\) 1.80343 7.47876i 0.0790858 0.327965i
\(521\) 4.33101 21.7735i 0.189745 0.953912i −0.762130 0.647424i \(-0.775846\pi\)
0.951875 0.306488i \(-0.0991539\pi\)
\(522\) 30.3335 + 23.5429i 1.32766 + 1.03045i
\(523\) −13.2744 10.8940i −0.580450 0.476363i 0.297758 0.954641i \(-0.403761\pi\)
−0.878208 + 0.478278i \(0.841261\pi\)
\(524\) 11.5762 3.17486i 0.505710 0.138694i
\(525\) −10.6428 + 0.216228i −0.464489 + 0.00943694i
\(526\) 14.9137 34.6805i 0.650266 1.51214i
\(527\) 0.0236918 + 0.0571971i 0.00103203 + 0.00249155i
\(528\) 12.0264 5.92090i 0.523381 0.257674i
\(529\) 8.86522 21.4025i 0.385444 0.930545i
\(530\) 2.87060 + 2.94872i 0.124691 + 0.128084i
\(531\) 31.8391 + 8.26213i 1.38170 + 0.358546i
\(532\) 29.2445 + 25.3443i 1.26791 + 1.09882i
\(533\) −1.14000 11.5746i −0.0493789 0.501352i
\(534\) 19.9740 + 19.7006i 0.864358 + 0.852530i
\(535\) 11.6638 + 17.4561i 0.504270 + 0.754694i
\(536\) 40.3835 + 14.0492i 1.74430 + 0.606833i
\(537\) −1.22807 + 15.7408i −0.0529953 + 0.679267i
\(538\) 5.26493 + 10.1763i 0.226987 + 0.438731i
\(539\) −0.577100 + 1.90245i −0.0248575 + 0.0819441i
\(540\) −14.1768 + 8.21086i −0.610073 + 0.353339i
\(541\) 25.3070 20.7689i 1.08803 0.892926i 0.0933221 0.995636i \(-0.470251\pi\)
0.994711 + 0.102710i \(0.0327514\pi\)
\(542\) −39.3419 8.37613i −1.68988 0.359786i
\(543\) −3.04233 + 10.8154i −0.130559 + 0.464133i
\(544\) −11.7357 3.16564i −0.503165 0.135726i
\(545\) 0.641462 0.641462i 0.0274772 0.0274772i
\(546\) 9.14214 + 4.80589i 0.391247 + 0.205673i
\(547\) −3.79286 + 3.11272i −0.162171 + 0.133090i −0.711979 0.702201i \(-0.752201\pi\)
0.549808 + 0.835291i \(0.314701\pi\)
\(548\) −4.28404 + 0.733181i −0.183005 + 0.0313199i
\(549\) 31.4482 28.0221i 1.34218 1.19595i
\(550\) 2.08572 6.55748i 0.0889354 0.279612i
\(551\) −59.5803 39.8103i −2.53821 1.69598i
\(552\) −24.0021 + 23.0626i −1.02160 + 0.981608i
\(553\) 11.1616 + 16.7045i 0.474639 + 0.710348i
\(554\) 25.1419 + 13.8757i 1.06818 + 0.589523i
\(555\) 8.26264 5.76708i 0.350730 0.244799i
\(556\) −1.94003 + 5.82741i −0.0822756 + 0.247137i
\(557\) −3.25124 10.7179i −0.137759 0.454132i 0.860731 0.509060i \(-0.170007\pi\)
−0.998490 + 0.0549284i \(0.982507\pi\)
\(558\) −0.103447 0.0651225i −0.00437928 0.00275685i
\(559\) 0.522629 1.26174i 0.0221048 0.0533658i
\(560\) −15.2331 2.33146i −0.643717 0.0985222i
\(561\) −5.65805 4.45422i −0.238883 0.188057i
\(562\) −0.942598 2.36494i −0.0397611 0.0997589i
\(563\) 37.7157 + 20.1595i 1.58953 + 0.849620i 0.999095 + 0.0425316i \(0.0135423\pi\)
0.590431 + 0.807088i \(0.298958\pi\)
\(564\) −9.60342 + 3.90454i −0.404377 + 0.164411i
\(565\) 2.74454 + 2.25238i 0.115463 + 0.0947584i
\(566\) 2.83319 + 3.54834i 0.119088 + 0.149148i
\(567\) −6.02776 21.1527i −0.253142 0.888331i
\(568\) 0.105020 2.60622i 0.00440653 0.109355i
\(569\) 8.64476 + 43.4602i 0.362407 + 1.82194i 0.544617 + 0.838685i \(0.316675\pi\)
−0.182209 + 0.983260i \(0.558325\pi\)
\(570\) 25.3031 17.1603i 1.05983 0.718767i
\(571\) −18.7405 + 10.0170i −0.784265 + 0.419198i −0.814368 0.580349i \(-0.802916\pi\)
0.0301035 + 0.999547i \(0.490416\pi\)
\(572\) −4.84606 + 4.59258i −0.202624 + 0.192025i
\(573\) −2.56666 + 1.12476i −0.107224 + 0.0469874i
\(574\) −22.9092 + 4.23804i −0.956212 + 0.176892i
\(575\) 17.0870i 0.712579i
\(576\) 22.5220 8.29218i 0.938416 0.345507i
\(577\) 36.6267i 1.52479i 0.647111 + 0.762395i \(0.275977\pi\)
−0.647111 + 0.762395i \(0.724023\pi\)
\(578\) −3.18555 17.2198i −0.132501 0.716251i
\(579\) −35.6928 + 15.6412i −1.48334 + 0.650027i
\(580\) 28.5248 + 0.766054i 1.18443 + 0.0318087i
\(581\) −12.9337 + 6.91321i −0.536580 + 0.286808i
\(582\) 8.81573 + 12.9989i 0.365424 + 0.538822i
\(583\) −0.696756 3.50283i −0.0288567 0.145072i
\(584\) 21.1355 + 9.76934i 0.874593 + 0.404258i
\(585\) 5.53073 5.99943i 0.228667 0.248046i
\(586\) −30.7951 + 24.5886i −1.27214 + 1.01574i
\(587\) 28.1291 + 23.0850i 1.16101 + 0.952818i 0.999420 0.0340394i \(-0.0108372\pi\)
0.161592 + 0.986858i \(0.448337\pi\)
\(588\) −1.38358 + 3.27947i −0.0570579 + 0.135243i
\(589\) 0.201182 + 0.107534i 0.00828956 + 0.00443086i
\(590\) 22.7075 9.05058i 0.934854 0.372606i
\(591\) −3.83898 3.02218i −0.157915 0.124316i
\(592\) −13.3728 + 6.24958i −0.549620 + 0.256856i
\(593\) 7.02815 16.9675i 0.288611 0.696770i −0.711370 0.702817i \(-0.751925\pi\)
0.999982 + 0.00604775i \(0.00192507\pi\)
\(594\) 14.1998 + 0.719938i 0.582625 + 0.0295394i
\(595\) 2.40308 + 7.92189i 0.0985166 + 0.324766i
\(596\) −5.17930 + 2.59209i −0.212152 + 0.106176i
\(597\) 5.93129 4.13987i 0.242752 0.169434i
\(598\) 8.01079 14.5150i 0.327585 0.593562i
\(599\) −0.980017 1.46670i −0.0400424 0.0599277i 0.810908 0.585173i \(-0.198973\pi\)
−0.850951 + 0.525246i \(0.823973\pi\)
\(600\) 4.94090 11.2859i 0.201712 0.460743i
\(601\) 13.4177 + 8.96541i 0.547319 + 0.365707i 0.798276 0.602292i \(-0.205746\pi\)
−0.250958 + 0.967998i \(0.580746\pi\)
\(602\) −2.60700 0.829203i −0.106254 0.0337958i
\(603\) 30.1707 + 33.8595i 1.22864 + 1.37886i
\(604\) −15.4263 + 21.7967i −0.627685 + 0.886894i
\(605\) −8.84277 + 7.25707i −0.359510 + 0.295042i
\(606\) 13.7572 26.1699i 0.558846 1.06308i
\(607\) −11.0364 + 11.0364i −0.447955 + 0.447955i −0.894674 0.446720i \(-0.852592\pi\)
0.446720 + 0.894674i \(0.352592\pi\)
\(608\) −40.8267 + 18.4160i −1.65574 + 0.746869i
\(609\) −10.3737 + 36.8784i −0.420365 + 1.49439i
\(610\) 6.51839 30.6162i 0.263922 1.23961i
\(611\) 3.99134 3.27561i 0.161472 0.132517i
\(612\) −9.24113 8.98991i −0.373551 0.363396i
\(613\) −9.38615 + 30.9420i −0.379103 + 1.24974i 0.535207 + 0.844721i \(0.320234\pi\)
−0.914310 + 0.405015i \(0.867266\pi\)
\(614\) 26.7418 13.8355i 1.07921 0.558354i
\(615\) −1.43167 + 18.3504i −0.0577306 + 0.739962i
\(616\) 9.98835 + 8.89383i 0.402442 + 0.358343i
\(617\) −2.14545 3.21089i −0.0863726 0.129266i 0.785767 0.618522i \(-0.212268\pi\)
−0.872140 + 0.489256i \(0.837268\pi\)
\(618\) −1.70350 + 1.72713i −0.0685248 + 0.0694755i
\(619\) 2.25422 + 22.8875i 0.0906047 + 0.919925i 0.927814 + 0.373043i \(0.121686\pi\)
−0.837209 + 0.546882i \(0.815814\pi\)
\(620\) −0.0906100 + 0.00647378i −0.00363898 + 0.000259993i
\(621\) −34.1434 + 8.98393i −1.37013 + 0.360513i
\(622\) 21.6069 21.0344i 0.866358 0.843404i
\(623\) −10.7115 + 25.8598i −0.429147 + 1.03605i
\(624\) −9.48823 + 7.27064i −0.379833 + 0.291058i
\(625\) 2.33500 + 5.63718i 0.0933998 + 0.225487i
\(626\) −21.8528 9.39736i −0.873412 0.375594i
\(627\) −26.5278 + 0.538960i −1.05942 + 0.0215240i
\(628\) −11.8728 6.76205i −0.473775 0.269835i
\(629\) 6.12957 + 5.03041i 0.244402 + 0.200576i
\(630\) −12.9125 10.0219i −0.514445 0.399280i
\(631\) 7.05048 35.4452i 0.280675 1.41105i −0.540966 0.841045i \(-0.681941\pi\)
0.821641 0.570005i \(-0.193059\pi\)
\(632\) −22.9691 + 3.61431i −0.913660 + 0.143769i
\(633\) 19.0957 16.3317i 0.758985 0.649127i
\(634\) 31.9155 37.8416i 1.26753 1.50288i
\(635\) 16.5784 8.86132i 0.657892 0.351651i
\(636\) −0.585151 6.36747i −0.0232027 0.252486i
\(637\) 0.173766 1.76428i 0.00688486 0.0699032i
\(638\) −20.4043 14.0335i −0.807813 0.555592i
\(639\) 1.44232 2.36084i 0.0570573 0.0933935i
\(640\) 9.84645 14.8712i 0.389215 0.587834i
\(641\) 2.00342i 0.0791304i 0.999217 + 0.0395652i \(0.0125973\pi\)
−0.999217 + 0.0395652i \(0.987403\pi\)
\(642\) 2.97369 32.4852i 0.117362 1.28209i
\(643\) −30.1234 2.96689i −1.18795 0.117003i −0.515330 0.856992i \(-0.672331\pi\)
−0.672619 + 0.739989i \(0.734831\pi\)
\(644\) −30.3298 13.5280i −1.19516 0.533079i
\(645\) −1.16400 + 1.82108i −0.0458326 + 0.0717048i
\(646\) 18.3918 + 15.5115i 0.723614 + 0.610294i
\(647\) −1.15778 5.82055i −0.0455170 0.228829i 0.951330 0.308173i \(-0.0997175\pi\)
−0.996847 + 0.0793437i \(0.974718\pi\)
\(648\) 25.1492 + 3.93911i 0.987955 + 0.154743i
\(649\) −20.8069 4.13875i −0.816742 0.162460i
\(650\) −0.683375 + 6.09802i −0.0268042 + 0.239184i
\(651\) 0.0213582 0.120073i 0.000837096 0.00470605i
\(652\) 19.9052 + 11.3369i 0.779548 + 0.443986i
\(653\) −3.71741 1.98700i −0.145474 0.0777572i 0.397054 0.917795i \(-0.370033\pi\)
−0.542528 + 0.840038i \(0.682533\pi\)
\(654\) −1.40178 + 0.147821i −0.0548140 + 0.00578027i
\(655\) 8.74138 3.62080i 0.341554 0.141476i
\(656\) 6.67226 26.1254i 0.260508 1.02003i
\(657\) 14.5434 + 19.9602i 0.567391 + 0.778720i
\(658\) −7.21479 7.41115i −0.281262 0.288917i
\(659\) 2.26705 + 7.47348i 0.0883119 + 0.291125i 0.989961 0.141344i \(-0.0451424\pi\)
−0.901649 + 0.432469i \(0.857642\pi\)
\(660\) 8.82352 5.81264i 0.343455 0.226257i
\(661\) −41.3253 + 4.07018i −1.60737 + 0.158312i −0.861491 0.507773i \(-0.830469\pi\)
−0.745876 + 0.666085i \(0.767969\pi\)
\(662\) −33.8816 + 9.78316i −1.31685 + 0.380233i
\(663\) 5.72343 + 2.91134i 0.222280 + 0.113067i
\(664\) −0.982205 16.9446i −0.0381170 0.657579i
\(665\) 25.3624 + 16.9466i 0.983512 + 0.657162i
\(666\) −15.6171 1.11023i −0.605149 0.0430205i
\(667\) 58.8458 + 17.8507i 2.27852 + 0.691181i
\(668\) −3.03833 + 13.3859i −0.117557 + 0.517915i
\(669\) 18.4808 + 7.21878i 0.714509 + 0.279094i
\(670\) 32.9637 + 7.01818i 1.27350 + 0.271136i
\(671\) −19.2093 + 19.2093i −0.741566 + 0.741566i
\(672\) 16.1208 + 17.7053i 0.621874 + 0.682998i
\(673\) −25.5881 25.5881i −0.986348 0.986348i 0.0135596 0.999908i \(-0.495684\pi\)
−0.999908 + 0.0135596i \(0.995684\pi\)
\(674\) 12.0117 + 18.5100i 0.462674 + 0.712977i
\(675\) 10.4028 7.90809i 0.400403 0.304383i
\(676\) −11.5806 + 16.3629i −0.445407 + 0.629342i
\(677\) 3.57405 11.7820i 0.137362 0.452821i −0.861090 0.508453i \(-0.830217\pi\)
0.998451 + 0.0556323i \(0.0177175\pi\)
\(678\) −1.11351 5.40316i −0.0427640 0.207507i
\(679\) −8.70594 + 13.0294i −0.334103 + 0.500021i
\(680\) −9.48932 1.32224i −0.363899 0.0507057i
\(681\) −41.2121 20.9634i −1.57925 0.803319i
\(682\) 0.0690228 + 0.0380935i 0.00264302 + 0.00145868i
\(683\) 3.61698 + 36.7239i 0.138400 + 1.40520i 0.774002 + 0.633183i \(0.218252\pi\)
−0.635602 + 0.772017i \(0.719248\pi\)
\(684\) −47.3358 4.00446i −1.80993 0.153114i
\(685\) −3.27836 + 0.994479i −0.125260 + 0.0379971i
\(686\) −27.7418 0.372446i −1.05919 0.0142200i
\(687\) 42.7838 5.09326i 1.63230 0.194320i
\(688\) 2.13707 2.33615i 0.0814751 0.0890651i
\(689\) 1.21877 + 2.94236i 0.0464313 + 0.112095i
\(690\) −16.5045 + 20.3957i −0.628316 + 0.776453i
\(691\) 9.38226 17.5530i 0.356918 0.667746i −0.637822 0.770184i \(-0.720164\pi\)
0.994739 + 0.102438i \(0.0326643\pi\)
\(692\) −26.8478 + 20.8528i −1.02060 + 0.792704i
\(693\) 4.66576 + 13.3961i 0.177238 + 0.508877i
\(694\) −15.5672 19.4966i −0.590922 0.740081i
\(695\) −0.944464 + 4.74814i −0.0358255 + 0.180107i
\(696\) −33.7055 28.8061i −1.27760 1.09189i
\(697\) −14.2064 + 2.82583i −0.538107 + 0.107036i
\(698\) 1.45263 + 17.0991i 0.0549829 + 0.647211i
\(699\) 6.29000 9.84066i 0.237910 0.372208i
\(700\) 12.2873 + 0.329985i 0.464417 + 0.0124723i
\(701\) 3.75413 38.1163i 0.141791 1.43963i −0.616314 0.787500i \(-0.711375\pi\)
0.758106 0.652132i \(-0.226125\pi\)
\(702\) −12.5444 + 1.84066i −0.473458 + 0.0694713i
\(703\) 29.2176 1.10196
\(704\) −14.1938 + 6.17455i −0.534948 + 0.232712i
\(705\) −7.12678 + 3.99755i −0.268410 + 0.150556i
\(706\) 0.772031 + 4.17330i 0.0290558 + 0.157064i
\(707\) 29.3557 + 2.89129i 1.10404 + 0.108738i
\(708\) −36.2740 11.2630i −1.36326 0.423289i
\(709\) 10.4885 + 19.6226i 0.393904 + 0.736942i 0.998210 0.0598104i \(-0.0190496\pi\)
−0.604306 + 0.796752i \(0.706550\pi\)
\(710\) −0.174034 2.04858i −0.00653138 0.0768817i
\(711\) −23.1494 8.50455i −0.868170 0.318946i
\(712\) −21.9658 23.8104i −0.823204 0.892333i
\(713\) −0.192003 0.0381917i −0.00719055 0.00143029i
\(714\) 4.84044 11.9174i 0.181149 0.445999i
\(715\) −3.33856 + 4.06804i −0.124855 + 0.152136i
\(716\) 2.27340 18.0889i 0.0849610 0.676013i
\(717\) −32.4114 + 0.658497i −1.21042 + 0.0245920i
\(718\) −44.9342 + 17.9095i −1.67693 + 0.668376i
\(719\) −1.76705 + 0.731936i −0.0658998 + 0.0272966i −0.415390 0.909643i \(-0.636355\pi\)
0.349490 + 0.936940i \(0.386355\pi\)
\(720\) 16.7988 8.69877i 0.626053 0.324184i
\(721\) −2.23608 0.926214i −0.0832759 0.0344940i
\(722\) 61.7765 + 0.829377i 2.29908 + 0.0308662i
\(723\) 6.79420 7.07600i 0.252679 0.263159i
\(724\) 4.09786 12.3090i 0.152296 0.457462i
\(725\) −22.6506 + 2.23089i −0.841221 + 0.0828531i
\(726\) 17.7741 0.122455i 0.659660 0.00454474i
\(727\) −8.89408 + 5.94283i −0.329863 + 0.220408i −0.709462 0.704744i \(-0.751062\pi\)
0.379599 + 0.925151i \(0.376062\pi\)
\(728\) −10.2831 6.04089i −0.381116 0.223890i
\(729\) 21.2715 + 16.6290i 0.787833 + 0.615889i
\(730\) 17.4897 + 5.56290i 0.647323 + 0.205892i
\(731\) −1.62760 0.493726i −0.0601989 0.0182611i
\(732\) −37.7984 + 30.6091i −1.39707 + 1.13135i
\(733\) −8.07108 9.83464i −0.298112 0.363251i 0.602314 0.798259i \(-0.294245\pi\)
−0.900426 + 0.435008i \(0.856745\pi\)
\(734\) 5.15583 + 7.94511i 0.190305 + 0.293259i
\(735\) −0.759718 + 2.70077i −0.0280226 + 0.0996196i
\(736\) 28.9399 25.2941i 1.06674 0.932352i
\(737\) −20.6821 20.6821i −0.761836 0.761836i
\(738\) 19.6655 20.7656i 0.723895 0.764392i
\(739\) −11.2107 13.6603i −0.412392 0.502501i 0.524843 0.851199i \(-0.324124\pi\)
−0.937235 + 0.348698i \(0.886624\pi\)
\(740\) −9.84422 + 6.20203i −0.361881 + 0.227991i
\(741\) 23.1074 5.08638i 0.848873 0.186853i
\(742\) 5.66619 2.93153i 0.208012 0.107620i
\(743\) −0.0680991 + 0.101918i −0.00249831 + 0.00373899i −0.832717 0.553699i \(-0.813216\pi\)
0.830218 + 0.557438i \(0.188216\pi\)
\(744\) 0.115773 + 0.0807449i 0.00424443 + 0.00296025i
\(745\) −3.79580 + 2.53627i −0.139067 + 0.0929219i
\(746\) 10.8168 3.12329i 0.396030 0.114352i
\(747\) 7.83451 16.2085i 0.286650 0.593038i
\(748\) 6.28361 + 5.44559i 0.229751 + 0.199111i
\(749\) 31.1447 9.44765i 1.13800 0.345210i
\(750\) 8.23208 27.8262i 0.300593 1.01607i
\(751\) 23.9501 + 9.92044i 0.873950 + 0.362002i 0.774148 0.633005i \(-0.218179\pi\)
0.0998027 + 0.995007i \(0.468179\pi\)
\(752\) 11.2893 3.98075i 0.411679 0.145163i
\(753\) 33.4830 + 26.3590i 1.22019 + 0.960577i
\(754\) 20.2870 + 8.72402i 0.738808 + 0.317710i
\(755\) −9.92203 + 18.5628i −0.361100 + 0.675570i
\(756\) 5.80098 + 24.7261i 0.210980 + 0.899278i
\(757\) −8.41617 + 10.2551i −0.305891 + 0.372729i −0.903154 0.429316i \(-0.858755\pi\)
0.597263 + 0.802045i \(0.296255\pi\)
\(758\) 5.48307 48.9276i 0.199154 1.77713i
\(759\) 21.6508 7.05104i 0.785875 0.255936i
\(760\) −30.1192 + 18.4155i −1.09254 + 0.668001i
\(761\) 32.1045 6.38599i 1.16379 0.231492i 0.424849 0.905264i \(-0.360327\pi\)
0.738939 + 0.673772i \(0.235327\pi\)
\(762\) −28.6858 5.50079i −1.03918 0.199272i
\(763\) −0.662935 1.24026i −0.0239998 0.0449006i
\(764\) 3.02166 1.15759i 0.109320 0.0418800i
\(765\) −8.11085 6.12244i −0.293248 0.221357i
\(766\) 5.32074 + 3.65947i 0.192246 + 0.132222i
\(767\) 18.9177 0.683080
\(768\) −26.4287 + 8.33825i −0.953662 + 0.300881i
\(769\) −16.0649 −0.579315 −0.289658 0.957130i \(-0.593541\pi\)
−0.289658 + 0.957130i \(0.593541\pi\)
\(770\) 8.68578 + 5.97385i 0.313014 + 0.215283i
\(771\) 20.0276 8.77646i 0.721276 0.316076i
\(772\) 42.0201 16.0977i 1.51234 0.579371i
\(773\) −14.3109