Properties

Label 384.2.v.a.13.24
Level $384$
Weight $2$
Character 384.13
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 13.24
Character \(\chi\) \(=\) 384.13
Dual form 384.2.v.a.325.24

$q$-expansion

\(f(q)\) \(=\) \(q+(0.915950 - 1.07751i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-0.322073 - 1.97390i) q^{4} +(-0.270352 - 2.74493i) q^{5} +(-1.29700 - 0.563723i) q^{6} +(-1.85362 + 2.77413i) q^{7} +(-2.42190 - 1.46095i) q^{8} +(-0.831470 + 0.555570i) q^{9} +O(q^{10})\) \(q+(0.915950 - 1.07751i) q^{2} +(-0.290285 - 0.956940i) q^{3} +(-0.322073 - 1.97390i) q^{4} +(-0.270352 - 2.74493i) q^{5} +(-1.29700 - 0.563723i) q^{6} +(-1.85362 + 2.77413i) q^{7} +(-2.42190 - 1.46095i) q^{8} +(-0.831470 + 0.555570i) q^{9} +(-3.20533 - 2.22291i) q^{10} +(4.99114 - 2.66782i) q^{11} +(-1.79541 + 0.881196i) q^{12} +(-3.79822 - 0.374092i) q^{13} +(1.29135 + 4.53826i) q^{14} +(-2.54826 + 1.05552i) q^{15} +(-3.79254 + 1.27148i) q^{16} +(-0.856052 - 0.354588i) q^{17} +(-0.162950 + 1.40479i) q^{18} +(2.48141 - 2.03644i) q^{19} +(-5.33114 + 1.41772i) q^{20} +(3.19276 + 0.968512i) q^{21} +(1.69702 - 7.82161i) q^{22} +(-1.11391 + 5.59999i) q^{23} +(-0.695003 + 2.74171i) q^{24} +(-2.55765 + 0.508748i) q^{25} +(-3.88206 + 3.74998i) q^{26} +(0.773010 + 0.634393i) q^{27} +(6.07285 + 2.76538i) q^{28} +(2.13322 - 3.99098i) q^{29} +(-1.19674 + 3.71259i) q^{30} +(6.37934 - 6.37934i) q^{31} +(-2.10374 + 5.25112i) q^{32} +(-4.00180 - 4.00180i) q^{33} +(-1.16617 + 0.597623i) q^{34} +(8.11594 + 4.33806i) q^{35} +(1.36443 + 1.46230i) q^{36} +(-5.01961 + 6.11642i) q^{37} +(0.0785535 - 4.53904i) q^{38} +(0.744581 + 3.74326i) q^{39} +(-3.35545 + 7.04294i) q^{40} +(-0.359702 - 0.0715492i) q^{41} +(3.96799 - 2.55313i) q^{42} +(3.25488 - 10.7299i) q^{43} +(-6.87351 - 8.99277i) q^{44} +(1.74979 + 2.13213i) q^{45} +(5.01379 + 6.32956i) q^{46} +(3.33080 - 8.04126i) q^{47} +(2.31764 + 3.26014i) q^{48} +(-1.58114 - 3.81720i) q^{49} +(-1.79449 + 3.22189i) q^{50} +(-0.0908211 + 0.922122i) q^{51} +(0.484883 + 7.61777i) q^{52} +(-0.428920 - 0.802454i) q^{53} +(1.39161 - 0.251857i) q^{54} +(-8.67236 - 12.9791i) q^{55} +(8.54216 - 4.01064i) q^{56} +(-2.66907 - 1.78342i) q^{57} +(-2.34641 - 5.95412i) q^{58} +(0.295840 - 0.0291377i) q^{59} +(2.90422 + 4.69005i) q^{60} +(10.5361 - 3.19610i) q^{61} +(-1.03067 - 12.7170i) q^{62} -3.33642i q^{63} +(3.73124 + 7.07657i) q^{64} +10.5270i q^{65} +(-7.97744 + 0.646548i) q^{66} +(-7.60682 + 2.30750i) q^{67} +(-0.424210 + 1.80396i) q^{68} +(5.68221 - 0.559649i) q^{69} +(12.1081 - 4.77159i) q^{70} +(9.07848 + 6.06605i) q^{71} +(2.82540 - 0.130800i) q^{72} +(-0.960390 - 1.43733i) q^{73} +(1.99281 + 11.0110i) q^{74} +(1.22929 + 2.29983i) q^{75} +(-4.81893 - 4.24217i) q^{76} +(-1.85077 + 18.7912i) q^{77} +(4.71541 + 2.62634i) q^{78} +(3.98665 + 9.62462i) q^{79} +(4.51544 + 10.0665i) q^{80} +(0.382683 - 0.923880i) q^{81} +(-0.406564 + 0.322048i) q^{82} +(9.68419 + 11.8002i) q^{83} +(0.883443 - 6.61410i) q^{84} +(-0.741886 + 2.44567i) q^{85} +(-8.58032 - 13.3352i) q^{86} +(-4.43837 - 0.882848i) q^{87} +(-15.9856 - 0.830615i) q^{88} +(-0.373569 - 1.87806i) q^{89} +(3.90012 + 0.0674963i) q^{90} +(8.07821 - 9.84333i) q^{91} +(11.4126 + 0.395135i) q^{92} +(-7.95647 - 4.25282i) q^{93} +(-5.61372 - 10.9544i) q^{94} +(-6.26076 - 6.26076i) q^{95} +(5.63569 + 0.488834i) q^{96} +(5.88166 - 5.88166i) q^{97} +(-5.56132 - 1.79267i) q^{98} +(-2.66782 + 4.99114i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{15}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.915950 1.07751i 0.647674 0.761917i
\(3\) −0.290285 0.956940i −0.167596 0.552490i
\(4\) −0.322073 1.97390i −0.161036 0.986948i
\(5\) −0.270352 2.74493i −0.120905 1.22757i −0.843817 0.536631i \(-0.819697\pi\)
0.722912 0.690941i \(-0.242803\pi\)
\(6\) −1.29700 0.563723i −0.529499 0.230139i
\(7\) −1.85362 + 2.77413i −0.700601 + 1.04852i 0.295061 + 0.955478i \(0.404660\pi\)
−0.995662 + 0.0930451i \(0.970340\pi\)
\(8\) −2.42190 1.46095i −0.856272 0.516525i
\(9\) −0.831470 + 0.555570i −0.277157 + 0.185190i
\(10\) −3.20533 2.22291i −1.01362 0.702947i
\(11\) 4.99114 2.66782i 1.50489 0.804378i 0.506559 0.862205i \(-0.330917\pi\)
0.998327 + 0.0578270i \(0.0184172\pi\)
\(12\) −1.79541 + 0.881196i −0.518290 + 0.254379i
\(13\) −3.79822 0.374092i −1.05344 0.103754i −0.443555 0.896247i \(-0.646283\pi\)
−0.609881 + 0.792493i \(0.708783\pi\)
\(14\) 1.29135 + 4.53826i 0.345127 + 1.21290i
\(15\) −2.54826 + 1.05552i −0.657958 + 0.272535i
\(16\) −3.79254 + 1.27148i −0.948135 + 0.317869i
\(17\) −0.856052 0.354588i −0.207623 0.0860003i 0.276448 0.961029i \(-0.410843\pi\)
−0.484071 + 0.875028i \(0.660843\pi\)
\(18\) −0.162950 + 1.40479i −0.0384076 + 0.331113i
\(19\) 2.48141 2.03644i 0.569275 0.467192i −0.305182 0.952294i \(-0.598717\pi\)
0.874458 + 0.485102i \(0.161217\pi\)
\(20\) −5.33114 + 1.41772i −1.19208 + 0.317011i
\(21\) 3.19276 + 0.968512i 0.696716 + 0.211347i
\(22\) 1.69702 7.82161i 0.361806 1.66757i
\(23\) −1.11391 + 5.59999i −0.232266 + 1.16768i 0.671948 + 0.740599i \(0.265458\pi\)
−0.904214 + 0.427081i \(0.859542\pi\)
\(24\) −0.695003 + 2.74171i −0.141867 + 0.559649i
\(25\) −2.55765 + 0.508748i −0.511529 + 0.101750i
\(26\) −3.88206 + 3.74998i −0.761335 + 0.735432i
\(27\) 0.773010 + 0.634393i 0.148766 + 0.122089i
\(28\) 6.07285 + 2.76538i 1.14766 + 0.522607i
\(29\) 2.13322 3.99098i 0.396130 0.741107i −0.602232 0.798321i \(-0.705722\pi\)
0.998362 + 0.0572142i \(0.0182218\pi\)
\(30\) −1.19674 + 3.71259i −0.218493 + 0.677823i
\(31\) 6.37934 6.37934i 1.14576 1.14576i 0.158386 0.987377i \(-0.449371\pi\)
0.987377 0.158386i \(-0.0506291\pi\)
\(32\) −2.10374 + 5.25112i −0.371892 + 0.928276i
\(33\) −4.00180 4.00180i −0.696623 0.696623i
\(34\) −1.16617 + 0.597623i −0.199997 + 0.102491i
\(35\) 8.11594 + 4.33806i 1.37184 + 0.733266i
\(36\) 1.36443 + 1.46230i 0.227405 + 0.243717i
\(37\) −5.01961 + 6.11642i −0.825219 + 1.00553i 0.174563 + 0.984646i \(0.444149\pi\)
−0.999782 + 0.0208865i \(0.993351\pi\)
\(38\) 0.0785535 4.53904i 0.0127431 0.736329i
\(39\) 0.744581 + 3.74326i 0.119228 + 0.599401i
\(40\) −3.35545 + 7.04294i −0.530543 + 1.11359i
\(41\) −0.359702 0.0715492i −0.0561760 0.0111741i 0.166922 0.985970i \(-0.446617\pi\)
−0.223098 + 0.974796i \(0.571617\pi\)
\(42\) 3.96799 2.55313i 0.612274 0.393957i
\(43\) 3.25488 10.7299i 0.496365 1.63630i −0.248173 0.968716i \(-0.579830\pi\)
0.744538 0.667580i \(-0.232670\pi\)
\(44\) −6.87351 8.99277i −1.03622 1.35571i
\(45\) 1.74979 + 2.13213i 0.260844 + 0.317839i
\(46\) 5.01379 + 6.32956i 0.739242 + 0.933243i
\(47\) 3.33080 8.04126i 0.485847 1.17294i −0.470945 0.882163i \(-0.656087\pi\)
0.956791 0.290775i \(-0.0939132\pi\)
\(48\) 2.31764 + 3.26014i 0.334523 + 0.470561i
\(49\) −1.58114 3.81720i −0.225876 0.545314i
\(50\) −1.79449 + 3.22189i −0.253780 + 0.455644i
\(51\) −0.0908211 + 0.922122i −0.0127175 + 0.129123i
\(52\) 0.484883 + 7.61777i 0.0672412 + 1.05639i
\(53\) −0.428920 0.802454i −0.0589167 0.110225i 0.850739 0.525588i \(-0.176155\pi\)
−0.909656 + 0.415363i \(0.863655\pi\)
\(54\) 1.39161 0.251857i 0.189374 0.0342734i
\(55\) −8.67236 12.9791i −1.16938 1.75010i
\(56\) 8.54216 4.01064i 1.14149 0.535944i
\(57\) −2.66907 1.78342i −0.353527 0.236219i
\(58\) −2.34641 5.95412i −0.308099 0.781814i
\(59\) 0.295840 0.0291377i 0.0385150 0.00379340i −0.0787413 0.996895i \(-0.525090\pi\)
0.117256 + 0.993102i \(0.462590\pi\)
\(60\) 2.90422 + 4.69005i 0.374933 + 0.605482i
\(61\) 10.5361 3.19610i 1.34901 0.409219i 0.468595 0.883413i \(-0.344761\pi\)
0.880420 + 0.474194i \(0.157261\pi\)
\(62\) −1.03067 12.7170i −0.130896 1.61506i
\(63\) 3.33642i 0.420350i
\(64\) 3.73124 + 7.07657i 0.466405 + 0.884572i
\(65\) 10.5270i 1.30571i
\(66\) −7.97744 + 0.646548i −0.981955 + 0.0795845i
\(67\) −7.60682 + 2.30750i −0.929321 + 0.281906i −0.718427 0.695603i \(-0.755137\pi\)
−0.210894 + 0.977509i \(0.567637\pi\)
\(68\) −0.424210 + 1.80396i −0.0514430 + 0.218762i
\(69\) 5.68221 0.559649i 0.684058 0.0673738i
\(70\) 12.1081 4.77159i 1.44720 0.570315i
\(71\) 9.07848 + 6.06605i 1.07742 + 0.719907i 0.961901 0.273398i \(-0.0881477\pi\)
0.115517 + 0.993306i \(0.463148\pi\)
\(72\) 2.82540 0.130800i 0.332977 0.0154149i
\(73\) −0.960390 1.43733i −0.112405 0.168226i 0.771002 0.636833i \(-0.219756\pi\)
−0.883407 + 0.468607i \(0.844756\pi\)
\(74\) 1.99281 + 11.0110i 0.231660 + 1.28001i
\(75\) 1.22929 + 2.29983i 0.141946 + 0.265562i
\(76\) −4.81893 4.24217i −0.552769 0.486611i
\(77\) −1.85077 + 18.7912i −0.210915 + 2.14146i
\(78\) 4.71541 + 2.62634i 0.533915 + 0.297375i
\(79\) 3.98665 + 9.62462i 0.448533 + 1.08285i 0.972872 + 0.231345i \(0.0743126\pi\)
−0.524339 + 0.851510i \(0.675687\pi\)
\(80\) 4.51544 + 10.0665i 0.504842 + 1.12547i
\(81\) 0.382683 0.923880i 0.0425204 0.102653i
\(82\) −0.406564 + 0.322048i −0.0448975 + 0.0355643i
\(83\) 9.68419 + 11.8002i 1.06298 + 1.29524i 0.953546 + 0.301248i \(0.0974032\pi\)
0.109432 + 0.993994i \(0.465097\pi\)
\(84\) 0.883443 6.61410i 0.0963916 0.721658i
\(85\) −0.741886 + 2.44567i −0.0804688 + 0.265270i
\(86\) −8.58032 13.3352i −0.925239 1.43798i
\(87\) −4.43837 0.882848i −0.475844 0.0946512i
\(88\) −15.9856 0.830615i −1.70407 0.0885438i
\(89\) −0.373569 1.87806i −0.0395983 0.199074i 0.955922 0.293620i \(-0.0948600\pi\)
−0.995520 + 0.0945461i \(0.969860\pi\)
\(90\) 3.90012 + 0.0674963i 0.411109 + 0.00711474i
\(91\) 8.07821 9.84333i 0.846827 1.03186i
\(92\) 11.4126 + 0.395135i 1.18984 + 0.0411956i
\(93\) −7.95647 4.25282i −0.825048 0.440997i
\(94\) −5.61372 10.9544i −0.579011 1.12986i
\(95\) −6.26076 6.26076i −0.642340 0.642340i
\(96\) 5.63569 + 0.488834i 0.575191 + 0.0498914i
\(97\) 5.88166 5.88166i 0.597192 0.597192i −0.342372 0.939564i \(-0.611230\pi\)
0.939564 + 0.342372i \(0.111230\pi\)
\(98\) −5.56132 1.79267i −0.561779 0.181087i
\(99\) −2.66782 + 4.99114i −0.268126 + 0.501629i
\(100\) 1.82796 + 4.88468i 0.182796 + 0.488468i
\(101\) −6.25460 5.13302i −0.622356 0.510754i 0.269543 0.962988i \(-0.413127\pi\)
−0.891899 + 0.452234i \(0.850627\pi\)
\(102\) 0.910412 + 0.942478i 0.0901442 + 0.0933193i
\(103\) −6.02151 + 1.19775i −0.593317 + 0.118018i −0.482611 0.875835i \(-0.660311\pi\)
−0.110706 + 0.993853i \(0.535311\pi\)
\(104\) 8.65238 + 6.45503i 0.848436 + 0.632967i
\(105\) 1.79533 9.02574i 0.175206 0.880822i
\(106\) −1.25752 0.272839i −0.122142 0.0265005i
\(107\) 11.7202 + 3.55529i 1.13304 + 0.343703i 0.800468 0.599376i \(-0.204585\pi\)
0.332569 + 0.943079i \(0.392085\pi\)
\(108\) 1.00326 1.73016i 0.0965389 0.166485i
\(109\) −13.3889 + 10.9880i −1.28243 + 1.05246i −0.286902 + 0.957960i \(0.592625\pi\)
−0.995525 + 0.0945000i \(0.969875\pi\)
\(110\) −21.9286 2.54362i −2.09081 0.242524i
\(111\) 7.31016 + 3.02797i 0.693850 + 0.287402i
\(112\) 3.50267 12.8778i 0.330971 1.21684i
\(113\) −1.38014 + 0.571672i −0.129833 + 0.0537784i −0.446654 0.894707i \(-0.647384\pi\)
0.316821 + 0.948485i \(0.397384\pi\)
\(114\) −4.36639 + 1.24244i −0.408950 + 0.116365i
\(115\) 15.6728 + 1.54363i 1.46149 + 0.143944i
\(116\) −8.56484 2.92538i −0.795226 0.271615i
\(117\) 3.36594 1.79913i 0.311181 0.166330i
\(118\) 0.239578 0.345460i 0.0220549 0.0318022i
\(119\) 2.57047 1.71753i 0.235634 0.157446i
\(120\) 7.71371 + 1.16651i 0.704162 + 0.106487i
\(121\) 11.6830 17.4848i 1.06209 1.58953i
\(122\) 6.20673 14.2803i 0.561931 1.29288i
\(123\) 0.0359477 + 0.364983i 0.00324129 + 0.0329094i
\(124\) −14.6468 10.5376i −1.31532 0.946300i
\(125\) −1.91539 6.31421i −0.171318 0.564760i
\(126\) −3.59504 3.05599i −0.320272 0.272250i
\(127\) −1.26925 −0.112628 −0.0563138 0.998413i \(-0.517935\pi\)
−0.0563138 + 0.998413i \(0.517935\pi\)
\(128\) 11.0427 + 2.46132i 0.976049 + 0.217552i
\(129\) −11.2127 −0.987225
\(130\) 11.3430 + 9.64219i 0.994845 + 0.845676i
\(131\) 4.47682 + 14.7581i 0.391142 + 1.28942i 0.902736 + 0.430194i \(0.141555\pi\)
−0.511595 + 0.859227i \(0.670945\pi\)
\(132\) −6.61027 + 9.18800i −0.575350 + 0.799713i
\(133\) 1.04978 + 10.6586i 0.0910271 + 0.924214i
\(134\) −4.48109 + 10.3100i −0.387108 + 0.890649i
\(135\) 1.53238 2.29337i 0.131886 0.197382i
\(136\) 1.55524 + 2.10943i 0.133361 + 0.180882i
\(137\) 3.38959 2.26485i 0.289592 0.193499i −0.402285 0.915515i \(-0.631784\pi\)
0.691877 + 0.722015i \(0.256784\pi\)
\(138\) 4.60159 6.63527i 0.391713 0.564832i
\(139\) −11.8870 + 6.35372i −1.00824 + 0.538916i −0.890911 0.454178i \(-0.849933\pi\)
−0.117329 + 0.993093i \(0.537433\pi\)
\(140\) 5.94896 17.4172i 0.502779 1.47202i
\(141\) −8.66188 0.853121i −0.729462 0.0718458i
\(142\) 14.8517 4.22600i 1.24633 0.354638i
\(143\) −19.9554 + 8.26582i −1.66876 + 0.691222i
\(144\) 2.44699 3.16422i 0.203916 0.263685i
\(145\) −11.5317 4.77659i −0.957656 0.396674i
\(146\) −2.42841 0.281684i −0.200976 0.0233123i
\(147\) −3.19385 + 2.62113i −0.263424 + 0.216187i
\(148\) 13.6899 + 7.93827i 1.12530 + 0.652522i
\(149\) −5.71376 1.73325i −0.468089 0.141993i 0.0474240 0.998875i \(-0.484899\pi\)
−0.515513 + 0.856881i \(0.672399\pi\)
\(150\) 3.60407 + 0.781958i 0.294271 + 0.0638466i
\(151\) −2.80304 + 14.0918i −0.228108 + 1.14678i 0.681664 + 0.731666i \(0.261257\pi\)
−0.909771 + 0.415110i \(0.863743\pi\)
\(152\) −8.98489 + 1.30684i −0.728771 + 0.105999i
\(153\) 0.908780 0.180768i 0.0734705 0.0146142i
\(154\) 18.5526 + 19.2060i 1.49501 + 1.54767i
\(155\) −19.2355 15.7862i −1.54504 1.26798i
\(156\) 7.14900 2.67533i 0.572378 0.214198i
\(157\) −1.84760 + 3.45661i −0.147454 + 0.275868i −0.944795 0.327662i \(-0.893739\pi\)
0.797341 + 0.603529i \(0.206239\pi\)
\(158\) 14.0222 + 4.52000i 1.11555 + 0.359592i
\(159\) −0.643391 + 0.643391i −0.0510242 + 0.0510242i
\(160\) 14.9827 + 4.35498i 1.18449 + 0.344291i
\(161\) −13.4704 13.4704i −1.06161 1.06161i
\(162\) −0.644974 1.25857i −0.0506740 0.0988829i
\(163\) −3.74031 1.99924i −0.292964 0.156592i 0.318367 0.947968i \(-0.396866\pi\)
−0.611331 + 0.791375i \(0.709366\pi\)
\(164\) −0.0253805 + 0.733059i −0.00198189 + 0.0572423i
\(165\) −9.90277 + 12.0666i −0.770930 + 0.939381i
\(166\) 21.5851 + 0.373557i 1.67533 + 0.0289936i
\(167\) 2.28230 + 11.4739i 0.176610 + 0.887876i 0.962867 + 0.269977i \(0.0870160\pi\)
−0.786257 + 0.617899i \(0.787984\pi\)
\(168\) −6.31760 7.01011i −0.487413 0.540842i
\(169\) 1.53629 + 0.305588i 0.118176 + 0.0235067i
\(170\) 1.95571 + 3.03950i 0.149996 + 0.233119i
\(171\) −0.931833 + 3.07184i −0.0712590 + 0.234910i
\(172\) −22.2280 2.96899i −1.69487 0.226384i
\(173\) 2.55567 + 3.11410i 0.194304 + 0.236761i 0.861044 0.508530i \(-0.169811\pi\)
−0.666740 + 0.745290i \(0.732311\pi\)
\(174\) −5.01661 + 3.97377i −0.380308 + 0.301250i
\(175\) 3.32956 8.03827i 0.251691 0.607636i
\(176\) −15.5370 + 16.4639i −1.17115 + 1.24102i
\(177\) −0.113761 0.274643i −0.00855078 0.0206434i
\(178\) −2.36581 1.31768i −0.177325 0.0987644i
\(179\) −0.478465 + 4.85794i −0.0357622 + 0.363099i 0.960604 + 0.277922i \(0.0896457\pi\)
−0.996366 + 0.0851773i \(0.972854\pi\)
\(180\) 3.64504 4.14061i 0.271685 0.308623i
\(181\) −3.10387 5.80694i −0.230709 0.431626i 0.739754 0.672878i \(-0.234942\pi\)
−0.970463 + 0.241252i \(0.922442\pi\)
\(182\) −3.20709 17.7204i −0.237725 1.31352i
\(183\) −6.11696 9.15468i −0.452179 0.676733i
\(184\) 10.8791 11.9353i 0.802018 0.879880i
\(185\) 18.1462 + 12.1249i 1.33414 + 0.891442i
\(186\) −11.8702 + 4.67784i −0.870366 + 0.342996i
\(187\) −5.21865 + 0.513993i −0.381626 + 0.0375869i
\(188\) −16.9454 3.98478i −1.23587 0.290620i
\(189\) −3.19276 + 0.968512i −0.232239 + 0.0704489i
\(190\) −12.4806 + 1.01152i −0.905438 + 0.0733831i
\(191\) 14.0534i 1.01687i 0.861100 + 0.508435i \(0.169776\pi\)
−0.861100 + 0.508435i \(0.830224\pi\)
\(192\) 5.68874 5.62479i 0.410549 0.405934i
\(193\) 16.0653i 1.15640i 0.815894 + 0.578201i \(0.196245\pi\)
−0.815894 + 0.578201i \(0.803755\pi\)
\(194\) −0.950267 11.7249i −0.0682252 0.841797i
\(195\) 10.0737 3.05582i 0.721393 0.218832i
\(196\) −7.02552 + 4.35041i −0.501823 + 0.310744i
\(197\) 19.5636 1.92685i 1.39385 0.137282i 0.626956 0.779055i \(-0.284301\pi\)
0.766895 + 0.641773i \(0.221801\pi\)
\(198\) 2.93444 + 7.44625i 0.208541 + 0.529182i
\(199\) −14.4757 9.67237i −1.02616 0.685656i −0.0758978 0.997116i \(-0.524182\pi\)
−0.950260 + 0.311459i \(0.899182\pi\)
\(200\) 6.93763 + 2.50446i 0.490564 + 0.177092i
\(201\) 4.41628 + 6.60944i 0.311501 + 0.466194i
\(202\) −11.2598 + 2.03783i −0.792237 + 0.143381i
\(203\) 7.11734 + 13.3156i 0.499539 + 0.934572i
\(204\) 1.84943 0.117719i 0.129486 0.00824196i
\(205\) −0.0991515 + 1.00670i −0.00692504 + 0.0703111i
\(206\) −4.22480 + 7.58534i −0.294356 + 0.528496i
\(207\) −2.18501 5.27508i −0.151869 0.366643i
\(208\) 14.8805 3.41059i 1.03178 0.236482i
\(209\) 6.95222 16.7841i 0.480895 1.16098i
\(210\) −8.08093 10.2016i −0.557637 0.703979i
\(211\) −1.57381 1.91769i −0.108345 0.132019i 0.716014 0.698086i \(-0.245965\pi\)
−0.824360 + 0.566067i \(0.808465\pi\)
\(212\) −1.44582 + 1.10509i −0.0992991 + 0.0758981i
\(213\) 3.16950 10.4484i 0.217171 0.715916i
\(214\) 14.5660 9.37223i 0.995712 0.640673i
\(215\) −30.3329 6.03358i −2.06868 0.411487i
\(216\) −0.945339 2.66577i −0.0643221 0.181383i
\(217\) 5.87229 + 29.5220i 0.398637 + 2.00408i
\(218\) −0.423850 + 24.4912i −0.0287067 + 1.65875i
\(219\) −1.09665 + 1.33627i −0.0741046 + 0.0902967i
\(220\) −22.8263 + 21.2986i −1.53895 + 1.43595i
\(221\) 3.11882 + 1.66704i 0.209795 + 0.112138i
\(222\) 9.95842 5.10333i 0.668365 0.342513i
\(223\) 5.00507 + 5.00507i 0.335164 + 0.335164i 0.854544 0.519379i \(-0.173837\pi\)
−0.519379 + 0.854544i \(0.673837\pi\)
\(224\) −10.6678 15.5696i −0.712771 1.04029i
\(225\) 1.84396 1.84396i 0.122931 0.122931i
\(226\) −0.648153 + 2.01074i −0.0431145 + 0.133753i
\(227\) 13.4958 25.2488i 0.895745 1.67582i 0.172751 0.984965i \(-0.444734\pi\)
0.722993 0.690855i \(-0.242766\pi\)
\(228\) −2.66065 + 5.84286i −0.176206 + 0.386953i
\(229\) 6.78600 + 5.56912i 0.448431 + 0.368018i 0.831336 0.555770i \(-0.187576\pi\)
−0.382905 + 0.923788i \(0.625076\pi\)
\(230\) 16.0187 15.4737i 1.05624 1.02031i
\(231\) 18.5193 3.68372i 1.21848 0.242371i
\(232\) −10.9971 + 6.54924i −0.721995 + 0.429978i
\(233\) −0.563245 + 2.83162i −0.0368994 + 0.185506i −0.994839 0.101463i \(-0.967648\pi\)
0.957940 + 0.286969i \(0.0926476\pi\)
\(234\) 1.14444 5.27475i 0.0748144 0.344822i
\(235\) −22.9732 6.96885i −1.49861 0.454598i
\(236\) −0.152797 0.574573i −0.00994621 0.0374015i
\(237\) 8.05293 6.60887i 0.523094 0.429292i
\(238\) 0.503754 4.34289i 0.0326535 0.281507i
\(239\) −14.0612 5.82433i −0.909542 0.376745i −0.121661 0.992572i \(-0.538822\pi\)
−0.787881 + 0.615827i \(0.788822\pi\)
\(240\) 8.32230 7.24316i 0.537202 0.467544i
\(241\) −19.8184 + 8.20906i −1.27662 + 0.528792i −0.914969 0.403523i \(-0.867785\pi\)
−0.361647 + 0.932315i \(0.617785\pi\)
\(242\) −8.13909 28.6037i −0.523201 1.83872i
\(243\) −0.995185 0.0980171i −0.0638411 0.00628780i
\(244\) −9.70218 19.7679i −0.621119 1.26551i
\(245\) −10.0505 + 5.37210i −0.642102 + 0.343211i
\(246\) 0.426200 + 0.295572i 0.0271736 + 0.0188450i
\(247\) −10.1868 + 6.80658i −0.648168 + 0.433092i
\(248\) −24.7701 + 6.13024i −1.57290 + 0.389270i
\(249\) 8.48093 12.6926i 0.537457 0.804362i
\(250\) −8.55805 3.71963i −0.541259 0.235250i
\(251\) −0.235613 2.39222i −0.0148718 0.150996i 0.984881 0.173232i \(-0.0554212\pi\)
−0.999753 + 0.0222369i \(0.992921\pi\)
\(252\) −6.58575 + 1.07457i −0.414863 + 0.0676915i
\(253\) 9.38010 + 30.9221i 0.589722 + 1.94405i
\(254\) −1.16257 + 1.36763i −0.0729460 + 0.0858129i
\(255\) 2.55572 0.160045
\(256\) 12.7667 9.64425i 0.797918 0.602765i
\(257\) 10.0931 0.629588 0.314794 0.949160i \(-0.398065\pi\)
0.314794 + 0.949160i \(0.398065\pi\)
\(258\) −10.2703 + 12.0819i −0.639400 + 0.752184i
\(259\) −7.66331 25.2626i −0.476175 1.56974i
\(260\) 20.7792 3.39046i 1.28867 0.210267i
\(261\) 0.443560 + 4.50354i 0.0274557 + 0.278762i
\(262\) 20.0026 + 8.69384i 1.23576 + 0.537107i
\(263\) 5.50093 8.23272i 0.339202 0.507651i −0.622178 0.782875i \(-0.713752\pi\)
0.961380 + 0.275224i \(0.0887522\pi\)
\(264\) 3.84553 + 15.5384i 0.236676 + 0.956323i
\(265\) −2.08672 + 1.39430i −0.128186 + 0.0856514i
\(266\) 12.4463 + 8.63155i 0.763131 + 0.529234i
\(267\) −1.68875 + 0.902655i −0.103350 + 0.0552416i
\(268\) 7.00472 + 14.2719i 0.427881 + 0.871794i
\(269\) −20.9849 2.06683i −1.27947 0.126017i −0.564653 0.825328i \(-0.690990\pi\)
−0.714817 + 0.699312i \(0.753490\pi\)
\(270\) −1.06756 3.75178i −0.0649694 0.228326i
\(271\) 21.4754 8.89538i 1.30454 0.540356i 0.381250 0.924472i \(-0.375494\pi\)
0.923285 + 0.384116i \(0.125494\pi\)
\(272\) 3.69746 + 0.256340i 0.224191 + 0.0155429i
\(273\) −11.7645 4.87300i −0.712018 0.294927i
\(274\) 0.664285 5.72683i 0.0401309 0.345970i
\(275\) −11.4083 + 9.36257i −0.687948 + 0.564584i
\(276\) −2.93477 11.0358i −0.176653 0.664280i
\(277\) −17.2484 5.23226i −1.03636 0.314376i −0.274136 0.961691i \(-0.588392\pi\)
−0.762222 + 0.647315i \(0.775892\pi\)
\(278\) −4.04165 + 18.6281i −0.242402 + 1.11724i
\(279\) −1.76006 + 8.84840i −0.105372 + 0.529740i
\(280\) −13.3183 22.3634i −0.795922 1.33647i
\(281\) 8.77904 1.74626i 0.523714 0.104173i 0.0738482 0.997269i \(-0.476472\pi\)
0.449865 + 0.893096i \(0.351472\pi\)
\(282\) −8.85310 + 8.55189i −0.527194 + 0.509257i
\(283\) 13.1485 + 10.7907i 0.781598 + 0.641441i 0.938150 0.346229i \(-0.112538\pi\)
−0.156552 + 0.987670i \(0.550038\pi\)
\(284\) 9.04982 19.8737i 0.537008 1.17929i
\(285\) −4.17377 + 7.80858i −0.247233 + 0.462540i
\(286\) −9.37165 + 29.0733i −0.554157 + 1.71914i
\(287\) 0.865236 0.865236i 0.0510733 0.0510733i
\(288\) −1.16817 5.53492i −0.0688351 0.326148i
\(289\) −11.4137 11.4137i −0.671395 0.671395i
\(290\) −15.7093 + 8.05046i −0.922482 + 0.472739i
\(291\) −7.33575 3.92104i −0.430029 0.229856i
\(292\) −2.52782 + 2.35863i −0.147929 + 0.138029i
\(293\) 13.1822 16.0626i 0.770114 0.938387i −0.229274 0.973362i \(-0.573635\pi\)
0.999388 + 0.0349751i \(0.0111352\pi\)
\(294\) −0.101107 + 5.84224i −0.00589668 + 0.340726i
\(295\) −0.159962 0.804183i −0.00931334 0.0468213i
\(296\) 21.0928 7.47996i 1.22599 0.434764i
\(297\) 5.55065 + 1.10409i 0.322082 + 0.0640660i
\(298\) −7.10112 + 4.56909i −0.411357 + 0.264680i
\(299\) 6.32577 20.8533i 0.365829 1.20598i
\(300\) 4.14371 3.16720i 0.239237 0.182858i
\(301\) 23.7329 + 28.9186i 1.36794 + 1.66684i
\(302\) 12.6167 + 15.9277i 0.726009 + 0.916536i
\(303\) −3.09638 + 7.47532i −0.177882 + 0.429446i
\(304\) −6.82157 + 10.8784i −0.391244 + 0.623916i
\(305\) −11.6216 28.0569i −0.665449 1.60654i
\(306\) 0.637617 1.14480i 0.0364501 0.0654437i
\(307\) −1.87442 + 19.0313i −0.106979 + 1.08617i 0.780446 + 0.625223i \(0.214992\pi\)
−0.887425 + 0.460952i \(0.847508\pi\)
\(308\) 37.6880 2.39890i 2.14747 0.136690i
\(309\) 2.89413 + 5.41454i 0.164641 + 0.308022i
\(310\) −34.6286 + 6.26720i −1.96677 + 0.355953i
\(311\) 0.543551 + 0.813481i 0.0308219 + 0.0461283i 0.846561 0.532292i \(-0.178669\pi\)
−0.815739 + 0.578421i \(0.803669\pi\)
\(312\) 3.66542 10.1536i 0.207514 0.574835i
\(313\) −16.7270 11.1766i −0.945465 0.631739i −0.0156934 0.999877i \(-0.504996\pi\)
−0.929771 + 0.368138i \(0.879996\pi\)
\(314\) 2.03224 + 5.15689i 0.114686 + 0.291020i
\(315\) −9.15826 + 0.902009i −0.516009 + 0.0508225i
\(316\) 17.7140 10.9691i 0.996492 0.617058i
\(317\) 10.0869 3.05982i 0.566534 0.171856i 0.00599200 0.999982i \(-0.498093\pi\)
0.560542 + 0.828126i \(0.310593\pi\)
\(318\) 0.103949 + 1.28258i 0.00582917 + 0.0719233i
\(319\) 25.6106i 1.43392i
\(320\) 18.4160 12.1552i 1.02948 0.679494i
\(321\) 12.2476i 0.683594i
\(322\) −26.8527 + 2.17633i −1.49644 + 0.121282i
\(323\) −2.84632 + 0.863421i −0.158373 + 0.0480420i
\(324\) −1.94689 0.457821i −0.108161 0.0254345i
\(325\) 9.90481 0.975539i 0.549420 0.0541132i
\(326\) −5.58015 + 2.19904i −0.309056 + 0.121793i
\(327\) 14.4015 + 9.62275i 0.796403 + 0.532139i
\(328\) 0.766634 + 0.698793i 0.0423303 + 0.0385844i
\(329\) 16.1335 + 24.1455i 0.889468 + 1.33118i
\(330\) 3.93145 + 21.7227i 0.216419 + 1.19580i
\(331\) 10.9691 + 20.5218i 0.602918 + 1.12798i 0.979471 + 0.201586i \(0.0646095\pi\)
−0.376552 + 0.926395i \(0.622891\pi\)
\(332\) 20.1734 22.9161i 1.10716 1.25769i
\(333\) 0.775557 7.87436i 0.0425003 0.431512i
\(334\) 14.4537 + 8.05029i 0.790874 + 0.440492i
\(335\) 8.39046 + 20.2564i 0.458420 + 1.10672i
\(336\) −13.3401 + 0.386395i −0.727762 + 0.0210796i
\(337\) 3.06634 7.40280i 0.167034 0.403256i −0.818092 0.575087i \(-0.804968\pi\)
0.985127 + 0.171831i \(0.0549682\pi\)
\(338\) 1.73644 1.37547i 0.0944499 0.0748159i
\(339\) 0.947690 + 1.15476i 0.0514714 + 0.0627181i
\(340\) 5.06644 + 0.676723i 0.274766 + 0.0367004i
\(341\) 14.8213 48.8591i 0.802616 2.64587i
\(342\) 2.45644 + 3.81771i 0.132829 + 0.206438i
\(343\) −9.38596 1.86698i −0.506794 0.100808i
\(344\) −23.5589 + 21.2316i −1.27021 + 1.14473i
\(345\) −3.07240 15.4460i −0.165412 0.831584i
\(346\) 5.69635 + 0.0985823i 0.306238 + 0.00529982i
\(347\) 22.3529 27.2371i 1.19996 1.46216i 0.348853 0.937177i \(-0.386571\pi\)
0.851112 0.524984i \(-0.175929\pi\)
\(348\) −0.313171 + 9.04524i −0.0167877 + 0.484876i
\(349\) 29.4116 + 15.7208i 1.57437 + 0.841516i 0.999733 + 0.0231038i \(0.00735484\pi\)
0.574632 + 0.818412i \(0.305145\pi\)
\(350\) −5.61164 10.9503i −0.299955 0.585318i
\(351\) −2.69874 2.69874i −0.144048 0.144048i
\(352\) 3.50898 + 31.8215i 0.187029 + 1.69609i
\(353\) −14.0477 + 14.0477i −0.747685 + 0.747685i −0.974044 0.226359i \(-0.927318\pi\)
0.226359 + 0.974044i \(0.427318\pi\)
\(354\) −0.400130 0.128980i −0.0212667 0.00685521i
\(355\) 14.1965 26.5598i 0.753473 1.40965i
\(356\) −3.58678 + 1.34226i −0.190099 + 0.0711396i
\(357\) −2.38974 1.96121i −0.126479 0.103798i
\(358\) 4.79625 + 4.96518i 0.253489 + 0.262418i
\(359\) −15.8950 + 3.16171i −0.838906 + 0.166869i −0.595802 0.803131i \(-0.703166\pi\)
−0.243104 + 0.970000i \(0.578166\pi\)
\(360\) −1.12289 7.72018i −0.0591816 0.406889i
\(361\) −1.69640 + 8.52840i −0.0892844 + 0.448863i
\(362\) −9.10004 1.97440i −0.478288 0.103772i
\(363\) −20.1233 6.10433i −1.05620 0.320394i
\(364\) −22.0315 12.7753i −1.15476 0.669607i
\(365\) −3.68572 + 3.02479i −0.192919 + 0.158325i
\(366\) −15.4671 1.79411i −0.808480 0.0937798i
\(367\) −3.02931 1.25478i −0.158129 0.0654991i 0.302215 0.953240i \(-0.402274\pi\)
−0.460344 + 0.887741i \(0.652274\pi\)
\(368\) −2.89572 22.6545i −0.150950 1.18095i
\(369\) 0.338832 0.140349i 0.0176389 0.00730626i
\(370\) 29.6858 8.44699i 1.54329 0.439138i
\(371\) 3.02117 + 0.297559i 0.156851 + 0.0154485i
\(372\) −5.83207 + 17.0750i −0.302379 + 0.885296i
\(373\) 16.4229 8.77821i 0.850345 0.454519i 0.0121734 0.999926i \(-0.496125\pi\)
0.838171 + 0.545407i \(0.183625\pi\)
\(374\) −4.22619 + 6.09396i −0.218531 + 0.315111i
\(375\) −5.48631 + 3.66584i −0.283312 + 0.189303i
\(376\) −19.8148 + 14.6090i −1.02187 + 0.753403i
\(377\) −9.59544 + 14.3606i −0.494190 + 0.739608i
\(378\) −1.88082 + 4.32735i −0.0967389 + 0.222575i
\(379\) −1.46995 14.9247i −0.0755065 0.766630i −0.956155 0.292861i \(-0.905393\pi\)
0.880649 0.473770i \(-0.157107\pi\)
\(380\) −10.3417 + 14.3745i −0.530517 + 0.737397i
\(381\) 0.368443 + 1.21459i 0.0188759 + 0.0622256i
\(382\) 15.1428 + 12.8722i 0.774771 + 0.658601i
\(383\) −5.61708 −0.287020 −0.143510 0.989649i \(-0.545839\pi\)
−0.143510 + 0.989649i \(0.545839\pi\)
\(384\) −0.850195 11.2817i −0.0433863 0.575718i
\(385\) 52.0810 2.65429
\(386\) 17.3105 + 14.7150i 0.881083 + 0.748972i
\(387\) 3.25488 + 10.7299i 0.165455 + 0.545432i
\(388\) −13.5041 9.71547i −0.685567 0.493228i
\(389\) 1.34914 + 13.6980i 0.0684039 + 0.694516i 0.966835 + 0.255402i \(0.0822077\pi\)
−0.898431 + 0.439114i \(0.855292\pi\)
\(390\) 5.93431 13.6535i 0.300495 0.691374i
\(391\) 2.93925 4.39891i 0.148644 0.222462i
\(392\) −1.74739 + 11.5549i −0.0882564 + 0.583608i
\(393\) 12.8231 8.56810i 0.646838 0.432204i
\(394\) 15.8431 22.8450i 0.798163 1.15091i
\(395\) 25.3412 13.5451i 1.27505 0.681530i
\(396\) 10.7112 + 3.65849i 0.538260 + 0.183846i
\(397\) −22.1607 2.18264i −1.11222 0.109544i −0.474822 0.880082i \(-0.657487\pi\)
−0.637393 + 0.770538i \(0.719987\pi\)
\(398\) −23.6812 + 6.73839i −1.18703 + 0.337765i
\(399\) 9.89487 4.09859i 0.495363 0.205186i
\(400\) 9.05311 5.18143i 0.452656 0.259072i
\(401\) 17.6981 + 7.33081i 0.883803 + 0.366083i 0.777970 0.628301i \(-0.216249\pi\)
0.105832 + 0.994384i \(0.466249\pi\)
\(402\) 11.1669 + 1.29530i 0.556952 + 0.0646038i
\(403\) −26.6166 + 21.8437i −1.32587 + 1.08811i
\(404\) −8.11761 + 13.9991i −0.403866 + 0.696483i
\(405\) −2.63945 0.800668i −0.131155 0.0397855i
\(406\) 20.8669 + 4.52739i 1.03561 + 0.224691i
\(407\) −8.73610 + 43.9193i −0.433032 + 2.17700i
\(408\) 1.56714 2.10061i 0.0775848 0.103995i
\(409\) 21.6955 4.31551i 1.07277 0.213388i 0.373057 0.927808i \(-0.378309\pi\)
0.699717 + 0.714420i \(0.253309\pi\)
\(410\) 0.993917 + 1.02893i 0.0490861 + 0.0508150i
\(411\) −3.15128 2.58619i −0.155441 0.127567i
\(412\) 4.30360 + 11.5001i 0.212023 + 0.566568i
\(413\) −0.467541 + 0.874708i −0.0230062 + 0.0430416i
\(414\) −7.68533 2.47733i −0.377713 0.121754i
\(415\) 29.7727 29.7727i 1.46148 1.46148i
\(416\) 9.95486 19.1579i 0.488077 0.939293i
\(417\) 9.53074 + 9.53074i 0.466722 + 0.466722i
\(418\) −11.7173 22.8645i −0.573110 1.11834i
\(419\) 19.1554 + 10.2388i 0.935800 + 0.500196i 0.867482 0.497468i \(-0.165737\pi\)
0.0683180 + 0.997664i \(0.478237\pi\)
\(420\) −18.3941 0.636855i −0.897541 0.0310754i
\(421\) 11.0608 13.4776i 0.539070 0.656859i −0.430236 0.902717i \(-0.641570\pi\)
0.969306 + 0.245858i \(0.0790695\pi\)
\(422\) −3.50786 0.0607078i −0.170760 0.00295521i
\(423\) 1.69803 + 8.53655i 0.0825609 + 0.415061i
\(424\) −0.133543 + 2.57010i −0.00648540 + 0.124815i
\(425\) 2.36987 + 0.471397i 0.114956 + 0.0228661i
\(426\) −8.35524 12.9854i −0.404813 0.629146i
\(427\) −10.6635 + 35.1530i −0.516045 + 1.70117i
\(428\) 3.24301 24.2796i 0.156757 1.17360i
\(429\) 13.7027 + 16.6967i 0.661570 + 0.806126i
\(430\) −34.2846 + 27.1576i −1.65335 + 1.30966i
\(431\) −1.08407 + 2.61718i −0.0522178 + 0.126065i −0.947836 0.318759i \(-0.896734\pi\)
0.895618 + 0.444824i \(0.146734\pi\)
\(432\) −3.73829 1.42310i −0.179858 0.0684688i
\(433\) −1.67653 4.04749i −0.0805687 0.194510i 0.878462 0.477812i \(-0.158570\pi\)
−0.959031 + 0.283302i \(0.908570\pi\)
\(434\) 37.1891 + 20.7132i 1.78513 + 0.994265i
\(435\) −1.22343 + 12.4217i −0.0586591 + 0.595576i
\(436\) 26.0014 + 22.8894i 1.24524 + 1.09620i
\(437\) 8.64000 + 16.1643i 0.413307 + 0.773244i
\(438\) 0.435375 + 2.40561i 0.0208030 + 0.114944i
\(439\) 1.59577 + 2.38824i 0.0761619 + 0.113984i 0.867595 0.497271i \(-0.165665\pi\)
−0.791433 + 0.611256i \(0.790665\pi\)
\(440\) 2.04177 + 44.1040i 0.0973375 + 2.10258i
\(441\) 3.43539 + 2.29545i 0.163590 + 0.109307i
\(442\) 4.65295 1.83364i 0.221318 0.0872176i
\(443\) −24.4552 + 2.40862i −1.16190 + 0.114437i −0.660532 0.750798i \(-0.729669\pi\)
−0.501367 + 0.865235i \(0.667169\pi\)
\(444\) 3.62249 15.4047i 0.171916 0.731076i
\(445\) −5.05415 + 1.53316i −0.239590 + 0.0726788i
\(446\) 9.97743 0.808641i 0.472445 0.0382903i
\(447\) 5.97086i 0.282412i
\(448\) −26.5476 2.76630i −1.25426 0.130696i
\(449\) 34.6849i 1.63688i 0.574592 + 0.818440i \(0.305161\pi\)
−0.574592 + 0.818440i \(0.694839\pi\)
\(450\) −0.297918 3.67587i −0.0140440 0.173282i
\(451\) −1.98620 + 0.602508i −0.0935267 + 0.0283710i
\(452\) 1.57293 + 2.54013i 0.0739843 + 0.119478i
\(453\) 14.2987 1.40830i 0.671812 0.0661677i
\(454\) −14.8445 37.6685i −0.696686 1.76787i
\(455\) −29.2033 19.5130i −1.36907 0.914783i
\(456\) 3.85875 + 8.21865i 0.180702 + 0.384874i
\(457\) 10.4150 + 15.5871i 0.487192 + 0.729135i 0.990879 0.134751i \(-0.0430236\pi\)
−0.503687 + 0.863886i \(0.668024\pi\)
\(458\) 12.2164 2.21097i 0.570837 0.103312i
\(459\) −0.436789 0.817174i −0.0203875 0.0381424i
\(460\) −2.00080 31.4336i −0.0932876 1.46560i
\(461\) 1.64077 16.6590i 0.0764181 0.775886i −0.878248 0.478206i \(-0.841287\pi\)
0.954666 0.297680i \(-0.0962127\pi\)
\(462\) 12.9935 23.3289i 0.604512 1.08536i
\(463\) 1.20652 + 2.91279i 0.0560717 + 0.135369i 0.949433 0.313971i \(-0.101659\pi\)
−0.893361 + 0.449340i \(0.851659\pi\)
\(464\) −3.01590 + 17.8483i −0.140009 + 0.828587i
\(465\) −9.52267 + 22.9898i −0.441603 + 1.06612i
\(466\) 2.53521 + 3.20053i 0.117441 + 0.148262i
\(467\) −24.0542 29.3101i −1.11309 1.35631i −0.927561 0.373671i \(-0.878099\pi\)
−0.185533 0.982638i \(-0.559401\pi\)
\(468\) −4.63537 6.06456i −0.214270 0.280334i
\(469\) 7.69880 25.3795i 0.355498 1.17192i
\(470\) −28.5513 + 18.3708i −1.31697 + 0.847384i
\(471\) 3.84410 + 0.764639i 0.177127 + 0.0352327i
\(472\) −0.759064 0.361639i −0.0349387 0.0166458i
\(473\) −12.3799 62.2379i −0.569228 2.86170i
\(474\) 0.254930 14.7305i 0.0117093 0.676596i
\(475\) −5.31054 + 6.47092i −0.243664 + 0.296906i
\(476\) −4.21811 4.52067i −0.193337 0.207204i
\(477\) 0.802454 + 0.428920i 0.0367418 + 0.0196389i
\(478\) −19.1551 + 9.81632i −0.876135 + 0.448988i
\(479\) 5.79614 + 5.79614i 0.264832 + 0.264832i 0.827014 0.562181i \(-0.190038\pi\)
−0.562181 + 0.827014i \(0.690038\pi\)
\(480\) −0.181806 15.6018i −0.00829827 0.712120i
\(481\) 21.3537 21.3537i 0.973644 0.973644i
\(482\) −9.30730 + 28.8737i −0.423936 + 1.31516i
\(483\) −8.98009 + 16.8006i −0.408608 + 0.764453i
\(484\) −38.2759 17.4296i −1.73981 0.792254i
\(485\) −17.7349 14.5546i −0.805300 0.660892i
\(486\) −1.01715 + 0.982547i −0.0461390 + 0.0445692i
\(487\) 26.6912 5.30922i 1.20950 0.240584i 0.451157 0.892445i \(-0.351011\pi\)
0.758338 + 0.651861i \(0.226011\pi\)
\(488\) −30.1869 7.65215i −1.36650 0.346396i
\(489\) −0.827397 + 4.15960i −0.0374162 + 0.188104i
\(490\) −3.41723 + 15.7501i −0.154375 + 0.711518i
\(491\) −3.93252 1.19292i −0.177472 0.0538356i 0.200298 0.979735i \(-0.435809\pi\)
−0.377770 + 0.925899i \(0.623309\pi\)
\(492\) 0.708861 0.188508i 0.0319579 0.00849860i
\(493\) −3.24131 + 2.66007i −0.145981 + 0.119804i
\(494\) −1.99638 + 17.2109i −0.0898214 + 0.774353i
\(495\) 14.4216 + 5.97362i 0.648203 + 0.268494i
\(496\) −16.0827 + 32.3051i −0.722135 + 1.45054i
\(497\) −33.6560 + 13.9408i −1.50968 + 0.625330i
\(498\) −5.90836 20.7641i −0.264760 0.930462i
\(499\) −7.21550 0.710665i −0.323010 0.0318137i −0.0647872 0.997899i \(-0.520637\pi\)
−0.258223 + 0.966085i \(0.583137\pi\)
\(500\) −11.8467 + 5.81443i −0.529801 + 0.260029i
\(501\) 10.3173 5.51472i 0.460943 0.246379i
\(502\) −2.79346 1.93728i −0.124678 0.0864649i
\(503\) 30.5874 20.4378i 1.36382 0.911278i 0.364026 0.931389i \(-0.381402\pi\)
0.999798 + 0.0201108i \(0.00640189\pi\)
\(504\) −4.87435 + 8.08049i −0.217121 + 0.359934i
\(505\) −12.3989 + 18.5562i −0.551742 + 0.825740i
\(506\) 41.9107 + 18.2159i 1.86316 + 0.809794i
\(507\) −0.153533 1.55885i −0.00681864 0.0692308i
\(508\) 0.408790 + 2.50536i 0.0181371 + 0.111158i
\(509\) −3.08105 10.1569i −0.136565 0.450195i 0.861807 0.507237i \(-0.169333\pi\)
−0.998372 + 0.0570421i \(0.981833\pi\)
\(510\) 2.34091 2.75382i 0.103657 0.121941i
\(511\) 5.76753 0.255140
\(512\) 1.30184 22.5899i 0.0575337 0.998344i
\(513\) 3.21007 0.141728
\(514\) 9.24474 10.8754i 0.407768 0.479694i
\(515\) 4.91568 + 16.2048i 0.216611 + 0.714070i
\(516\) 3.61131 + 22.1328i 0.158979 + 0.974341i
\(517\) −4.82815 49.0210i −0.212342 2.15594i
\(518\) −34.2400 14.8819i −1.50442 0.653873i
\(519\) 2.23813 3.34960i 0.0982432 0.147031i
\(520\) 15.3794 25.4954i 0.674433 1.11805i
\(521\) −7.45955 + 4.98432i −0.326809 + 0.218367i −0.708140 0.706072i \(-0.750466\pi\)
0.381331 + 0.924438i \(0.375466\pi\)
\(522\) 5.25890 + 3.64707i 0.230176 + 0.159628i
\(523\) 0.137896 0.0737070i 0.00602978 0.00322298i −0.468379 0.883528i \(-0.655162\pi\)
0.474409 + 0.880305i \(0.342662\pi\)
\(524\) 27.6891 13.5900i 1.20960 0.593680i
\(525\) −8.65867 0.852804i −0.377895 0.0372194i
\(526\) −3.83230 13.4681i −0.167096 0.587236i
\(527\) −7.72309 + 3.19901i −0.336423 + 0.139351i
\(528\) 20.2652 + 10.0888i 0.881928 + 0.439058i
\(529\) −8.86989 3.67403i −0.385647 0.159740i
\(530\) −0.408951 + 3.52558i −0.0177637 + 0.153142i
\(531\) −0.229794 + 0.188587i −0.00997219 + 0.00818397i
\(532\) 20.7008 5.50498i 0.897493 0.238671i
\(533\) 1.33946 + 0.406321i 0.0580184 + 0.0175997i
\(534\) −0.574186 + 2.64644i −0.0248474 + 0.114523i
\(535\) 6.59045 33.1324i 0.284930 1.43244i
\(536\) 21.7941 + 5.52465i 0.941363 + 0.238628i
\(537\) 4.78765 0.952322i 0.206602 0.0410957i
\(538\) −21.4481 + 20.7184i −0.924694 + 0.893233i
\(539\) −18.0753 14.8340i −0.778557 0.638945i
\(540\) −5.02042 2.28613i −0.216044 0.0983795i
\(541\) 1.55420 2.90771i 0.0668204 0.125012i −0.846293 0.532717i \(-0.821171\pi\)
0.913114 + 0.407705i \(0.133671\pi\)
\(542\) 10.0854 31.2877i 0.433207 1.34392i
\(543\) −4.65588 + 4.65588i −0.199803 + 0.199803i
\(544\) 3.66290 3.74927i 0.157045 0.160749i
\(545\) 33.7811 + 33.7811i 1.44702 + 1.44702i
\(546\) −16.0264 + 8.21295i −0.685866 + 0.351482i
\(547\) 35.7187 + 19.0920i 1.52722 + 0.816316i 0.999453 0.0330736i \(-0.0105296\pi\)
0.527767 + 0.849389i \(0.323030\pi\)
\(548\) −5.56228 5.96126i −0.237609 0.254652i
\(549\) −6.98482 + 8.51103i −0.298105 + 0.363242i
\(550\) −0.361151 + 20.8683i −0.0153995 + 0.889826i
\(551\) −2.83400 14.2475i −0.120732 0.606963i
\(552\) −14.5794 6.94602i −0.620540 0.295642i
\(553\) −34.0897 6.78086i −1.44964 0.288352i
\(554\) −21.4365 + 13.7929i −0.910751 + 0.586006i
\(555\) 6.33525 20.8845i 0.268917 0.886499i
\(556\) 16.3701 + 21.4173i 0.694245 + 0.908296i
\(557\) −24.6586 30.0466i −1.04482 1.27312i −0.960974 0.276638i \(-0.910780\pi\)
−0.0838454 0.996479i \(-0.526720\pi\)
\(558\) 7.92215 + 10.0012i 0.335371 + 0.423383i
\(559\) −16.3767 + 39.5369i −0.692661 + 1.67223i
\(560\) −36.2958 6.13304i −1.53378 0.259168i
\(561\) 2.00676 + 4.84474i 0.0847253 + 0.204545i
\(562\) 6.15954 11.0590i 0.259824 0.466497i
\(563\) −1.93729 + 19.6697i −0.0816472 + 0.828978i 0.863937 + 0.503600i \(0.167991\pi\)
−0.945584 + 0.325378i \(0.894509\pi\)
\(564\) 1.10578 + 17.3724i 0.0465619 + 0.731511i
\(565\) 1.94233 + 3.63384i 0.0817143 + 0.152877i
\(566\) 23.6705 4.28396i 0.994946 0.180068i
\(567\) 1.85362 + 2.77413i 0.0778446 + 0.116503i
\(568\) −13.1250 27.9546i −0.550713 1.17295i
\(569\) −21.5945 14.4290i −0.905288 0.604894i 0.0133859 0.999910i \(-0.495739\pi\)
−0.918674 + 0.395016i \(0.870739\pi\)
\(570\) 4.59089 + 11.6496i 0.192291 + 0.487946i
\(571\) −45.8579 + 4.51661i −1.91909 + 0.189014i −0.985542 0.169432i \(-0.945807\pi\)
−0.933550 + 0.358447i \(0.883307\pi\)
\(572\) 22.7430 + 36.7278i 0.950931 + 1.53567i
\(573\) 13.4483 4.07950i 0.561811 0.170423i
\(574\) −0.139791 1.72482i −0.00583478 0.0719925i
\(575\) 14.8895i 0.620935i
\(576\) −7.03394 3.81099i −0.293081 0.158791i
\(577\) 15.1695i 0.631513i −0.948840 0.315757i \(-0.897742\pi\)
0.948840 0.315757i \(-0.102258\pi\)
\(578\) −22.7528 + 1.84405i −0.946393 + 0.0767024i
\(579\) 15.3735 4.66350i 0.638900 0.193808i
\(580\) −5.71445 + 24.3008i −0.237280 + 1.00904i
\(581\) −50.6861 + 4.99215i −2.10282 + 0.207109i
\(582\) −10.9442 + 4.31290i −0.453650 + 0.178775i
\(583\) −4.28160 2.86088i −0.177326 0.118485i
\(584\) 0.226109 + 4.88415i 0.00935644 + 0.202107i
\(585\) −5.84848 8.75287i −0.241805 0.361887i
\(586\) −5.23341 28.9166i −0.216190 1.19453i
\(587\) −5.03097 9.41229i −0.207650 0.388487i 0.756439 0.654064i \(-0.226937\pi\)
−0.964090 + 0.265578i \(0.914437\pi\)
\(588\) 6.20249 + 5.46014i 0.255786 + 0.225172i
\(589\) 2.83862 28.8210i 0.116963 1.18755i
\(590\) −1.01304 0.564230i −0.0417060 0.0232290i
\(591\) −7.52290 18.1619i −0.309451 0.747080i
\(592\) 11.2602 29.5791i 0.462791 1.21569i
\(593\) −3.77599 + 9.11606i −0.155062 + 0.374352i −0.982251 0.187572i \(-0.939938\pi\)
0.827189 + 0.561923i \(0.189938\pi\)
\(594\) 6.27379 4.96961i 0.257417 0.203906i
\(595\) −5.40944 6.59142i −0.221765 0.270222i
\(596\) −1.58101 + 11.8366i −0.0647608 + 0.484846i
\(597\) −5.05380 + 16.6602i −0.206838 + 0.681855i
\(598\) −16.6756 25.9167i −0.681916 1.05981i
\(599\) −23.0272 4.58040i −0.940867 0.187150i −0.299249 0.954175i \(-0.596736\pi\)
−0.641617 + 0.767025i \(0.721736\pi\)
\(600\) 0.382733 7.36590i 0.0156250 0.300712i
\(601\) 4.51625 + 22.7047i 0.184222 + 0.926145i 0.956694 + 0.291096i \(0.0940200\pi\)
−0.772472 + 0.635049i \(0.780980\pi\)
\(602\) 52.8983 + 0.915469i 2.15597 + 0.0373117i
\(603\) 5.04286 6.14474i 0.205361 0.250233i
\(604\) 28.7186 + 0.994317i 1.16854 + 0.0404582i
\(605\) −51.1531 27.3419i −2.07967 1.11161i
\(606\) 5.21863 + 10.1834i 0.211992 + 0.413673i
\(607\) −17.7808 17.7808i −0.721699 0.721699i 0.247252 0.968951i \(-0.420472\pi\)
−0.968951 + 0.247252i \(0.920472\pi\)
\(608\) 5.47336 + 17.3144i 0.221974 + 0.702190i
\(609\) 10.6762 10.6762i 0.432621 0.432621i
\(610\) −40.8765 13.1763i −1.65504 0.533495i
\(611\) −15.6593 + 29.2964i −0.633506 + 1.18521i
\(612\) −0.649510 1.73562i −0.0262549 0.0701582i
\(613\) 10.4110 + 8.54410i 0.420497 + 0.345093i 0.820726 0.571322i \(-0.193569\pi\)
−0.400229 + 0.916415i \(0.631069\pi\)
\(614\) 18.7896 + 19.4514i 0.758288 + 0.784996i
\(615\) 0.992136 0.197348i 0.0400068 0.00795784i
\(616\) 31.9354 42.8066i 1.28672 1.72473i
\(617\) −6.95603 + 34.9703i −0.280039 + 1.40785i 0.542936 + 0.839774i \(0.317313\pi\)
−0.822975 + 0.568077i \(0.807687\pi\)
\(618\) 8.48512 + 1.84098i 0.341321 + 0.0740550i
\(619\) −9.73874 2.95421i −0.391433 0.118740i 0.0884321 0.996082i \(-0.471814\pi\)
−0.479865 + 0.877342i \(0.659314\pi\)
\(620\) −24.9651 + 43.0533i −1.00262 + 1.72906i
\(621\) −4.41366 + 3.62220i −0.177114 + 0.145354i
\(622\) 1.37440 + 0.159424i 0.0551085 + 0.00639233i
\(623\) 5.90244 + 2.44487i 0.236476 + 0.0979517i
\(624\) −7.58332 13.2497i −0.303576 0.530414i
\(625\) −28.8605 + 11.9544i −1.15442 + 0.478177i
\(626\) −27.3640 + 7.78634i −1.09369 + 0.311205i
\(627\) −18.0795 1.78068i −0.722028 0.0711135i
\(628\) 7.41806 + 2.53369i 0.296013 + 0.101105i
\(629\) 6.46586 3.45607i 0.257811 0.137803i
\(630\) −7.41657 + 10.6943i −0.295483 + 0.426073i
\(631\) −32.1926 + 21.5104i −1.28157 + 0.856316i −0.994816 0.101689i \(-0.967575\pi\)
−0.286751 + 0.958005i \(0.592575\pi\)
\(632\) 4.40584 29.1342i 0.175255 1.15890i
\(633\) −1.37826 + 2.06271i −0.0547810 + 0.0819855i
\(634\) 5.94206 13.6714i 0.235989 0.542959i
\(635\) 0.343144 + 3.48400i 0.0136173 + 0.138258i
\(636\) 1.47721 + 1.06277i 0.0585751 + 0.0421415i
\(637\) 4.57751 + 15.0900i 0.181368 + 0.597889i
\(638\) −27.5958 23.4580i −1.09253 0.928713i
\(639\) −10.9186 −0.431933
\(640\) 3.77075 30.9770i 0.149052 1.22447i
\(641\) 11.5175 0.454915 0.227458 0.973788i \(-0.426959\pi\)
0.227458 + 0.973788i \(0.426959\pi\)
\(642\) −13.1970 11.2182i −0.520842 0.442746i
\(643\) −7.73065 25.4845i −0.304867 1.00501i −0.966818 0.255465i \(-0.917771\pi\)
0.661951 0.749547i \(-0.269729\pi\)
\(644\) −22.2507 + 30.9275i −0.876799 + 1.21872i
\(645\) 3.03139 + 30.7782i 0.119361 + 1.21189i
\(646\) −1.67674 + 3.85780i −0.0659703 + 0.151783i
\(647\) 5.63912 8.43954i 0.221697 0.331793i −0.703903 0.710296i \(-0.748561\pi\)
0.925600 + 0.378503i \(0.123561\pi\)
\(648\) −2.27657 + 1.67847i −0.0894320 + 0.0659363i
\(649\) 1.39884 0.934677i 0.0549094 0.0366893i
\(650\) 8.02115 11.5661i 0.314615 0.453660i
\(651\) 26.5461 14.1892i 1.04043 0.556119i
\(652\) −2.74164 + 8.02689i −0.107371 + 0.314357i
\(653\) 3.64176 + 0.358682i 0.142513 + 0.0140363i 0.169022 0.985612i \(-0.445939\pi\)
−0.0265090 + 0.999649i \(0.508439\pi\)
\(654\) 23.5597 6.70382i 0.921256 0.262140i
\(655\) 39.2997 16.2785i 1.53557 0.636052i
\(656\) 1.45516 0.186000i 0.0568143 0.00726206i
\(657\) 1.59707 + 0.661528i 0.0623077 + 0.0258087i
\(658\) 40.7946 + 4.73198i 1.59034 + 0.184472i
\(659\) −1.79690 + 1.47467i −0.0699971 + 0.0574452i −0.668741 0.743495i \(-0.733167\pi\)
0.598744 + 0.800940i \(0.295667\pi\)
\(660\) 27.0076 + 15.6607i 1.05127 + 0.609594i
\(661\) −25.5559 7.75228i −0.994008 0.301529i −0.248941 0.968519i \(-0.580082\pi\)
−0.745067 + 0.666990i \(0.767582\pi\)
\(662\) 32.1597 + 6.97755i 1.24992 + 0.271190i
\(663\) 0.689916 3.46844i 0.0267941 0.134703i
\(664\) −6.21462 42.7271i −0.241174 1.65813i
\(665\) 28.9732 5.76313i 1.12353 0.223485i
\(666\) −7.77436 8.04819i −0.301250 0.311861i
\(667\) 19.9733 + 16.3916i 0.773368 + 0.634686i
\(668\) 21.9132 8.20045i 0.847847 0.317285i
\(669\) 3.33666 6.24245i 0.129003 0.241347i
\(670\) 29.5118 + 9.51297i 1.14014 + 0.367518i
\(671\) 44.0607 44.0607i 1.70095 1.70095i
\(672\) −11.8025 + 14.7281i −0.455291 + 0.568147i
\(673\) 2.94032 + 2.94032i 0.113341 + 0.113341i 0.761503 0.648162i \(-0.224462\pi\)
−0.648162 + 0.761503i \(0.724462\pi\)
\(674\) −5.16801 10.0846i −0.199064 0.388445i
\(675\) −2.29983 1.22929i −0.0885206 0.0473153i
\(676\) 0.108401 3.13090i 0.00416925 0.120419i
\(677\) −0.531064 + 0.647104i −0.0204105 + 0.0248702i −0.783116 0.621876i \(-0.786371\pi\)
0.762705 + 0.646746i \(0.223871\pi\)
\(678\) 2.11231 + 0.0365561i 0.0811227 + 0.00140393i
\(679\) 5.41416 + 27.2188i 0.207777 + 1.04456i
\(680\) 5.36978 4.83932i 0.205922 0.185579i
\(681\) −28.0792 5.58530i −1.07600 0.214029i
\(682\) −39.0709 60.7226i −1.49610 2.32519i
\(683\) −13.3825 + 44.1161i −0.512066 + 1.68806i 0.194912 + 0.980821i \(0.437558\pi\)
−0.706978 + 0.707235i \(0.749942\pi\)
\(684\) 6.36361 + 0.849986i 0.243319 + 0.0325000i
\(685\) −7.13326 8.69190i −0.272548 0.332100i
\(686\) −10.6088 + 8.40344i −0.405044 + 0.320845i
\(687\) 3.35945 8.11042i 0.128171 0.309432i
\(688\) 1.29856 + 44.8321i 0.0495071 + 1.70921i
\(689\) 1.32894 + 3.20835i 0.0506286 + 0.122228i
\(690\) −19.4574 10.8372i −0.740732 0.412565i
\(691\) 3.27198 33.2210i 0.124472 1.26379i −0.706596 0.707617i \(-0.749770\pi\)
0.831069 0.556170i \(-0.187730\pi\)
\(692\) 5.32380 6.04760i 0.202380 0.229895i
\(693\) −8.90097 16.6525i −0.338120 0.632578i
\(694\) −8.87420 49.0333i −0.336860 1.86128i
\(695\) 20.6542 + 30.9112i 0.783459 + 1.17253i
\(696\) 9.45952 + 8.62243i 0.358562 + 0.326832i
\(697\) 0.282553 + 0.188796i 0.0107025 + 0.00715115i
\(698\) 43.8789 17.2919i 1.66084 0.654508i
\(699\) 2.87319 0.282985i 0.108674 0.0107035i
\(700\) −16.9391 3.98330i −0.640237 0.150555i
\(701\) 44.7888 13.5865i 1.69165 0.513156i 0.710058 0.704144i \(-0.248669\pi\)
0.981593 + 0.190987i \(0.0611689\pi\)
\(702\) −5.37984 + 0.436020i −0.203049 + 0.0164565i
\(703\) 25.3995i 0.957961i
\(704\) 37.5022 + 25.3659i 1.41342 + 0.956014i
\(705\) 24.0069i 0.904154i
\(706\) 2.26961 + 28.0036i 0.0854179 + 1.05393i
\(707\) 25.8333 7.83645i 0.971561 0.294720i
\(708\) −0.505477 + 0.313007i −0.0189970 + 0.0117635i
\(709\) −13.6157 + 1.34103i −0.511347 + 0.0503633i −0.350401 0.936600i \(-0.613955\pi\)
−0.160946 + 0.986963i \(0.551455\pi\)
\(710\) −15.6153 39.6244i −0.586031 1.48708i
\(711\) −8.66193 5.78772i −0.324848 0.217056i
\(712\) −1.83901 + 5.09425i −0.0689197 + 0.190915i
\(713\) 28.6183 + 42.8303i 1.07176 + 1.60401i
\(714\) −4.30211 + 0.778610i −0.161003 + 0.0291388i
\(715\) 28.0841 + 52.5417i 1.05029 + 1.96495i
\(716\) 9.74317 0.620168i 0.364119 0.0231768i
\(717\) −1.49179 + 15.1464i −0.0557120 + 0.565653i
\(718\) −11.1522 + 20.0231i −0.416198 + 0.747254i
\(719\) 3.28815 + 7.93830i 0.122627 + 0.296049i 0.973258 0.229715i \(-0.0737795\pi\)
−0.850630 + 0.525764i \(0.823779\pi\)
\(720\) −9.34711 5.86136i −0.348346 0.218440i
\(721\) 7.83884 18.9246i 0.291934 0.704790i
\(722\) 7.63565 + 9.63949i 0.284169 + 0.358745i
\(723\) 13.6086 + 16.5821i 0.506108 + 0.616694i
\(724\) −10.4626 + 7.99698i −0.388840 + 0.297205i
\(725\) −3.42563 + 11.2928i −0.127225 + 0.419404i
\(726\) −25.0094 + 16.0918i −0.928186 + 0.597224i
\(727\) 2.59083 + 0.515348i 0.0960886 + 0.0191132i 0.242900 0.970051i \(-0.421901\pi\)
−0.146812 + 0.989164i \(0.546901\pi\)
\(728\) −33.9453 + 12.0377i −1.25810 + 0.446148i
\(729\) 0.195090 + 0.980785i 0.00722557 + 0.0363254i
\(730\) −0.116678 + 6.74197i −0.00431844 + 0.249532i
\(731\) −6.59105 + 8.03121i −0.243779 + 0.297045i
\(732\) −16.1003 + 15.0227i −0.595084 + 0.555256i
\(733\) −20.2574 10.8278i −0.748224 0.399934i 0.0527695 0.998607i \(-0.483195\pi\)
−0.800994 + 0.598672i \(0.795695\pi\)
\(734\) −4.12674 + 2.11481i −0.152321 + 0.0780590i
\(735\) 8.05828 + 8.05828i 0.297234 + 0.297234i
\(736\) −27.0629 17.6302i −0.997550 0.649858i
\(737\) −31.8107 + 31.8107i −1.17176 + 1.17176i
\(738\) 0.159125 0.493648i 0.00585748 0.0181714i
\(739\) 3.51307 6.57249i 0.129230 0.241773i −0.808982 0.587834i \(-0.799981\pi\)
0.938212 + 0.346061i \(0.112481\pi\)
\(740\) 18.0889 39.7239i 0.664963 1.46028i
\(741\) 9.47055 + 7.77228i 0.347909 + 0.285522i
\(742\) 3.08786 2.98280i 0.113359 0.109502i
\(743\) −0.874407 + 0.173930i −0.0320789 + 0.00638089i −0.211104 0.977464i \(-0.567706\pi\)
0.179025 + 0.983845i \(0.442706\pi\)
\(744\) 13.0566 + 21.9240i 0.478680 + 0.803771i
\(745\) −3.21293 + 16.1525i −0.117713 + 0.591781i
\(746\) 5.58388 25.7363i 0.204441 0.942272i
\(747\) −14.6080 4.43128i −0.534477 0.162132i
\(748\) 2.69535 + 10.1355i 0.0985519 + 0.370592i
\(749\) −31.5876 + 25.9233i −1.15419 + 0.947217i
\(750\) −1.07520 + 9.26930i −0.0392606 + 0.338467i
\(751\) 21.1816 + 8.77369i 0.772926 + 0.320156i 0.734057 0.679088i \(-0.237624\pi\)
0.0388690 + 0.999244i \(0.487624\pi\)
\(752\) −2.40791 + 34.7318i −0.0878075 + 1.26654i
\(753\) −2.22082 + 0.919892i −0.0809311 + 0.0335227i
\(754\) 6.68480 + 23.4928i 0.243446 + 0.855557i
\(755\) 39.4389 + 3.88439i 1.43533 + 0.141368i
\(756\) 2.94004 + 5.99024i 0.106928 + 0.217863i
\(757\) −32.0171 + 17.1135i −1.16368 + 0.622000i −0.936091 0.351758i \(-0.885584\pi\)
−0.227589 + 0.973757i \(0.573084\pi\)
\(758\) −17.4280 12.0864i −0.633013 0.438997i
\(759\) 26.8677 17.9524i 0.975234 0.651631i
\(760\) 6.01629 + 24.3096i 0.218234 + 0.881803i
\(761\) −10.8416 + 16.2255i −0.393006 + 0.588176i −0.974227 0.225571i \(-0.927575\pi\)
0.581220 + 0.813746i \(0.302575\pi\)
\(762\) 1.64622 + 0.715505i 0.0596362 + 0.0259200i
\(763\) −5.66426 57.5102i −0.205060 2.08201i
\(764\) 27.7400 4.52623i 1.00360 0.163753i
\(765\) −0.741886 2.44567i −0.0268229 0.0884234i
\(766\) −5.14497 + 6.05249i −0.185895 + 0.218685i
\(767\) −1.13456 −0.0409667
\(768\) −12.9349 9.41739i −0.466750 0.339821i
\(769\) −23.7664 −0.857038 −0.428519 0.903533i \(-0.640964\pi\)
−0.428519 + 0.903533i \(0.640964\pi\)
\(770\) 47.7036 56.1180i 1.71912 2.02235i
\(771\) −2.92986 9.65846i −0.105516 0.347841i
\(772\) 31.7112 5.17418i 1.14131 0.186223i
\(773\) −0.374875 3.80617i −0.0134833 0.136898i 0.986086 0.166234i \(-0.0531608\pi\)
−0.999570 + 0.0293358i \(0.990661\pi\)