Properties

Label 384.2.v.a.349.17
Level $384$
Weight $2$
Character 384.349
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 349.17
Character \(\chi\) \(=\) 384.349
Dual form 384.2.v.a.373.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0761996 - 1.41216i) q^{2} +(-0.995185 - 0.0980171i) q^{3} +(-1.98839 + 0.215212i) q^{4} +(1.41300 + 2.64355i) q^{5} +(-0.0625831 + 1.41283i) q^{6} +(-0.878507 - 4.41655i) q^{7} +(0.455428 + 2.79152i) q^{8} +(0.980785 + 0.195090i) q^{9} +O(q^{10})\) \(q+(-0.0761996 - 1.41216i) q^{2} +(-0.995185 - 0.0980171i) q^{3} +(-1.98839 + 0.215212i) q^{4} +(1.41300 + 2.64355i) q^{5} +(-0.0625831 + 1.41283i) q^{6} +(-0.878507 - 4.41655i) q^{7} +(0.455428 + 2.79152i) q^{8} +(0.980785 + 0.195090i) q^{9} +(3.62544 - 2.19682i) q^{10} +(-3.15547 - 2.58963i) q^{11} +(1.99991 - 0.0192796i) q^{12} +(-2.78393 - 1.48804i) q^{13} +(-6.16993 + 1.57713i) q^{14} +(-1.14709 - 2.76931i) q^{15} +(3.90737 - 0.855849i) q^{16} +(2.08762 - 5.03997i) q^{17} +(0.200763 - 1.39989i) q^{18} +(-7.63218 + 2.31520i) q^{19} +(-3.37852 - 4.95230i) q^{20} +(0.441379 + 4.48139i) q^{21} +(-3.41652 + 4.65336i) q^{22} +(1.59256 - 1.06412i) q^{23} +(-0.179618 - 2.82272i) q^{24} +(-2.21390 + 3.31333i) q^{25} +(-1.88922 + 4.04475i) q^{26} +(-0.956940 - 0.290285i) q^{27} +(2.69731 + 8.59275i) q^{28} +(-3.94908 - 4.81196i) q^{29} +(-3.82331 + 1.83089i) q^{30} +(-0.500935 + 0.500935i) q^{31} +(-1.50634 - 5.45261i) q^{32} +(2.88645 + 2.88645i) q^{33} +(-7.27631 - 2.56401i) q^{34} +(10.4340 - 8.56298i) q^{35} +(-1.99217 - 0.176838i) q^{36} +(-1.25283 + 4.13002i) q^{37} +(3.85100 + 10.6014i) q^{38} +(2.62468 + 1.75375i) q^{39} +(-6.73599 + 5.14837i) q^{40} +(1.39015 + 2.08050i) q^{41} +(6.29481 - 0.964778i) q^{42} +(5.81683 - 0.572907i) q^{43} +(6.83162 + 4.47009i) q^{44} +(0.870124 + 2.86841i) q^{45} +(-1.62406 - 2.16787i) q^{46} +(-1.03302 - 0.427893i) q^{47} +(-3.97244 + 0.468739i) q^{48} +(-12.2670 + 5.08116i) q^{49} +(4.84765 + 2.87390i) q^{50} +(-2.57157 + 4.81108i) q^{51} +(5.85578 + 2.35967i) q^{52} +(-0.146227 + 0.178178i) q^{53} +(-0.337010 + 1.37347i) q^{54} +(2.38710 - 12.0008i) q^{55} +(11.9288 - 4.46379i) q^{56} +(7.82236 - 1.55596i) q^{57} +(-6.49434 + 5.94340i) q^{58} +(7.57124 - 4.04691i) q^{59} +(2.87684 + 5.25960i) q^{60} +(0.985258 - 10.0035i) q^{61} +(0.745571 + 0.669229i) q^{62} -4.50308i q^{63} +(-7.58517 + 2.54267i) q^{64} -9.46207i q^{65} +(3.85618 - 4.29607i) q^{66} +(-0.886724 + 9.00306i) q^{67} +(-3.06634 + 10.4707i) q^{68} +(-1.68920 + 0.902894i) q^{69} +(-12.8874 - 14.0820i) q^{70} +(3.44894 - 0.686036i) q^{71} +(-0.0979217 + 2.82673i) q^{72} +(1.10102 - 5.53521i) q^{73} +(5.92771 + 1.45449i) q^{74} +(2.52800 - 3.08038i) q^{75} +(14.6775 - 6.24604i) q^{76} +(-8.66512 + 16.2113i) q^{77} +(2.27658 - 3.84009i) q^{78} +(4.65820 - 1.92949i) q^{79} +(7.78360 + 9.11998i) q^{80} +(0.923880 + 0.382683i) q^{81} +(2.83207 - 2.12164i) q^{82} +(-3.00494 - 9.90597i) q^{83} +(-1.84208 - 8.81576i) q^{84} +(16.2732 - 1.60277i) q^{85} +(-1.25228 - 8.17063i) q^{86} +(3.45841 + 5.17587i) q^{87} +(5.79191 - 9.98795i) q^{88} +(-1.97339 - 1.31858i) q^{89} +(3.98435 - 1.44733i) q^{90} +(-4.12632 + 13.6026i) q^{91} +(-2.93762 + 2.45862i) q^{92} +(0.547623 - 0.449422i) q^{93} +(-0.525537 + 1.49140i) q^{94} +(-16.9046 - 16.9046i) q^{95} +(0.964633 + 5.57400i) q^{96} +(9.92335 - 9.92335i) q^{97} +(8.11015 + 16.9358i) q^{98} +(-2.58963 - 3.15547i) 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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0761996 1.41216i −0.0538813 0.998547i
\(3\) −0.995185 0.0980171i −0.574570 0.0565902i
\(4\) −1.98839 + 0.215212i −0.994194 + 0.107606i
\(5\) 1.41300 + 2.64355i 0.631915 + 1.18223i 0.970456 + 0.241278i \(0.0775665\pi\)
−0.338541 + 0.940952i \(0.609934\pi\)
\(6\) −0.0625831 + 1.41283i −0.0255495 + 0.576785i
\(7\) −0.878507 4.41655i −0.332044 1.66930i −0.681094 0.732196i \(-0.738496\pi\)
0.349050 0.937104i \(-0.386504\pi\)
\(8\) 0.455428 + 2.79152i 0.161018 + 0.986951i
\(9\) 0.980785 + 0.195090i 0.326928 + 0.0650301i
\(10\) 3.62544 2.19682i 1.14646 0.694697i
\(11\) −3.15547 2.58963i −0.951410 0.780802i 0.0243368 0.999704i \(-0.492253\pi\)
−0.975747 + 0.218902i \(0.929753\pi\)
\(12\) 1.99991 0.0192796i 0.577323 0.00556554i
\(13\) −2.78393 1.48804i −0.772124 0.412709i 0.0377687 0.999287i \(-0.487975\pi\)
−0.809893 + 0.586577i \(0.800475\pi\)
\(14\) −6.16993 + 1.57713i −1.64898 + 0.421506i
\(15\) −1.14709 2.76931i −0.296177 0.715034i
\(16\) 3.90737 0.855849i 0.976842 0.213962i
\(17\) 2.08762 5.03997i 0.506323 1.22237i −0.439662 0.898163i \(-0.644902\pi\)
0.945985 0.324209i \(-0.105098\pi\)
\(18\) 0.200763 1.39989i 0.0473203 0.329957i
\(19\) −7.63218 + 2.31520i −1.75094 + 0.531143i −0.992676 0.120803i \(-0.961453\pi\)
−0.758266 + 0.651946i \(0.773953\pi\)
\(20\) −3.37852 4.95230i −0.755461 1.10737i
\(21\) 0.441379 + 4.48139i 0.0963168 + 0.977920i
\(22\) −3.41652 + 4.65336i −0.728405 + 0.992099i
\(23\) 1.59256 1.06412i 0.332072 0.221884i −0.378344 0.925665i \(-0.623506\pi\)
0.710417 + 0.703781i \(0.248506\pi\)
\(24\) −0.179618 2.82272i −0.0366644 0.576185i
\(25\) −2.21390 + 3.31333i −0.442780 + 0.662667i
\(26\) −1.88922 + 4.04475i −0.370507 + 0.793240i
\(27\) −0.956940 0.290285i −0.184163 0.0558653i
\(28\) 2.69731 + 8.59275i 0.509743 + 1.62388i
\(29\) −3.94908 4.81196i −0.733325 0.893559i 0.264157 0.964480i \(-0.414906\pi\)
−0.997482 + 0.0709204i \(0.977406\pi\)
\(30\) −3.82331 + 1.83089i −0.698037 + 0.334273i
\(31\) −0.500935 + 0.500935i −0.0899705 + 0.0899705i −0.750660 0.660689i \(-0.770264\pi\)
0.660689 + 0.750660i \(0.270264\pi\)
\(32\) −1.50634 5.45261i −0.266285 0.963894i
\(33\) 2.88645 + 2.88645i 0.502466 + 0.502466i
\(34\) −7.27631 2.56401i −1.24788 0.439725i
\(35\) 10.4340 8.56298i 1.76367 1.44741i
\(36\) −1.99217 0.176838i −0.332028 0.0294731i
\(37\) −1.25283 + 4.13002i −0.205964 + 0.678971i 0.791716 + 0.610889i \(0.209188\pi\)
−0.997680 + 0.0680820i \(0.978312\pi\)
\(38\) 3.85100 + 10.6014i 0.624714 + 1.71978i
\(39\) 2.62468 + 1.75375i 0.420284 + 0.280825i
\(40\) −6.73599 + 5.14837i −1.06505 + 0.814029i
\(41\) 1.39015 + 2.08050i 0.217104 + 0.324920i 0.923996 0.382402i \(-0.124903\pi\)
−0.706892 + 0.707322i \(0.749903\pi\)
\(42\) 6.29481 0.964778i 0.971310 0.148868i
\(43\) 5.81683 0.572907i 0.887058 0.0873675i 0.355784 0.934568i \(-0.384214\pi\)
0.531273 + 0.847201i \(0.321714\pi\)
\(44\) 6.83162 + 4.47009i 1.02990 + 0.673891i
\(45\) 0.870124 + 2.86841i 0.129710 + 0.427598i
\(46\) −1.62406 2.16787i −0.239454 0.319635i
\(47\) −1.03302 0.427893i −0.150682 0.0624146i 0.306068 0.952010i \(-0.400987\pi\)
−0.456750 + 0.889595i \(0.650987\pi\)
\(48\) −3.97244 + 0.468739i −0.573372 + 0.0676567i
\(49\) −12.2670 + 5.08116i −1.75243 + 0.725880i
\(50\) 4.84765 + 2.87390i 0.685561 + 0.406431i
\(51\) −2.57157 + 4.81108i −0.360092 + 0.673686i
\(52\) 5.85578 + 2.35967i 0.812051 + 0.327228i
\(53\) −0.146227 + 0.178178i −0.0200859 + 0.0244747i −0.782957 0.622076i \(-0.786289\pi\)
0.762871 + 0.646551i \(0.223789\pi\)
\(54\) −0.337010 + 1.37347i −0.0458612 + 0.186906i
\(55\) 2.38710 12.0008i 0.321877 1.61819i
\(56\) 11.9288 4.46379i 1.59405 0.596499i
\(57\) 7.82236 1.55596i 1.03610 0.206092i
\(58\) −6.49434 + 5.94340i −0.852749 + 0.780406i
\(59\) 7.57124 4.04691i 0.985692 0.526863i 0.101926 0.994792i \(-0.467500\pi\)
0.883766 + 0.467929i \(0.155000\pi\)
\(60\) 2.87684 + 5.25960i 0.371399 + 0.679012i
\(61\) 0.985258 10.0035i 0.126149 1.28082i −0.698680 0.715434i \(-0.746229\pi\)
0.824829 0.565382i \(-0.191271\pi\)
\(62\) 0.745571 + 0.669229i 0.0946876 + 0.0849921i
\(63\) 4.50308i 0.567334i
\(64\) −7.58517 + 2.54267i −0.948146 + 0.317834i
\(65\) 9.46207i 1.17363i
\(66\) 3.85618 4.29607i 0.474663 0.528810i
\(67\) −0.886724 + 9.00306i −0.108331 + 1.09990i 0.775261 + 0.631641i \(0.217618\pi\)
−0.883592 + 0.468258i \(0.844882\pi\)
\(68\) −3.06634 + 10.4707i −0.371849 + 1.26976i
\(69\) −1.68920 + 0.902894i −0.203355 + 0.108696i
\(70\) −12.8874 14.0820i −1.54033 1.68312i
\(71\) 3.44894 0.686036i 0.409313 0.0814175i 0.0138609 0.999904i \(-0.495588\pi\)
0.395452 + 0.918486i \(0.370588\pi\)
\(72\) −0.0979217 + 2.82673i −0.0115402 + 0.333134i
\(73\) 1.10102 5.53521i 0.128865 0.647847i −0.861318 0.508067i \(-0.830360\pi\)
0.990183 0.139781i \(-0.0446397\pi\)
\(74\) 5.92771 + 1.45449i 0.689083 + 0.169081i
\(75\) 2.52800 3.08038i 0.291908 0.355691i
\(76\) 14.6775 6.24604i 1.68362 0.716470i
\(77\) −8.66512 + 16.2113i −0.987482 + 1.84745i
\(78\) 2.27658 3.84009i 0.257772 0.434805i
\(79\) 4.65820 1.92949i 0.524089 0.217085i −0.104923 0.994480i \(-0.533460\pi\)
0.629012 + 0.777396i \(0.283460\pi\)
\(80\) 7.78360 + 9.11998i 0.870233 + 1.01965i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) 2.83207 2.12164i 0.312750 0.234296i
\(83\) −3.00494 9.90597i −0.329836 1.08732i −0.952425 0.304773i \(-0.901419\pi\)
0.622589 0.782549i \(-0.286081\pi\)
\(84\) −1.84208 8.81576i −0.200988 0.961878i
\(85\) 16.2732 1.60277i 1.76508 0.173845i
\(86\) −1.25228 8.17063i −0.135036 0.881061i
\(87\) 3.45841 + 5.17587i 0.370780 + 0.554912i
\(88\) 5.79191 9.98795i 0.617420 1.06472i
\(89\) −1.97339 1.31858i −0.209179 0.139769i 0.446568 0.894750i \(-0.352646\pi\)
−0.655747 + 0.754981i \(0.727646\pi\)
\(90\) 3.98435 1.44733i 0.419988 0.152561i
\(91\) −4.12632 + 13.6026i −0.432556 + 1.42594i
\(92\) −2.93762 + 2.45862i −0.306268 + 0.256328i
\(93\) 0.547623 0.449422i 0.0567858 0.0466029i
\(94\) −0.525537 + 1.49140i −0.0542050 + 0.153826i
\(95\) −16.9046 16.9046i −1.73438 1.73438i
\(96\) 0.964633 + 5.57400i 0.0984524 + 0.568894i
\(97\) 9.92335 9.92335i 1.00756 1.00756i 0.00759281 0.999971i \(-0.497583\pi\)
0.999971 0.00759281i \(-0.00241689\pi\)
\(98\) 8.11015 + 16.9358i 0.819249 + 1.71077i
\(99\) −2.58963 3.15547i −0.260267 0.317137i
\(100\) 3.68902 7.06465i 0.368902 0.706465i
\(101\) 2.73607 + 0.829978i 0.272249 + 0.0825859i 0.423457 0.905916i \(-0.360816\pi\)
−0.151208 + 0.988502i \(0.548316\pi\)
\(102\) 6.98996 + 3.26487i 0.692109 + 0.323270i
\(103\) −3.25873 + 4.87703i −0.321092 + 0.480548i −0.956542 0.291593i \(-0.905815\pi\)
0.635450 + 0.772142i \(0.280815\pi\)
\(104\) 2.88602 8.44911i 0.282998 0.828503i
\(105\) −11.2231 + 7.49903i −1.09526 + 0.731831i
\(106\) 0.262759 + 0.192919i 0.0255214 + 0.0187380i
\(107\) 1.06427 + 10.8058i 0.102887 + 1.04463i 0.898544 + 0.438884i \(0.144626\pi\)
−0.795657 + 0.605748i \(0.792874\pi\)
\(108\) 1.96524 + 0.371253i 0.189105 + 0.0357239i
\(109\) −15.2326 + 4.62076i −1.45902 + 0.442588i −0.917376 0.398021i \(-0.869697\pi\)
−0.541642 + 0.840610i \(0.682197\pi\)
\(110\) −17.1289 2.45652i −1.63318 0.234220i
\(111\) 1.65161 3.98734i 0.156764 0.378461i
\(112\) −7.21255 16.5052i −0.681522 1.55960i
\(113\) 4.38588 + 10.5885i 0.412589 + 0.996078i 0.984440 + 0.175721i \(0.0562256\pi\)
−0.571851 + 0.820358i \(0.693774\pi\)
\(114\) −2.79333 10.9279i −0.261619 1.02349i
\(115\) 5.06334 + 2.70641i 0.472159 + 0.252374i
\(116\) 8.88789 + 8.71816i 0.825220 + 0.809461i
\(117\) −2.44014 2.00257i −0.225591 0.185138i
\(118\) −6.29181 10.3834i −0.579208 0.955872i
\(119\) −24.0933 4.79245i −2.20863 0.439323i
\(120\) 7.20818 4.46334i 0.658014 0.407445i
\(121\) 1.10483 + 5.55435i 0.100439 + 0.504941i
\(122\) −14.2016 0.629079i −1.28575 0.0569541i
\(123\) −1.17953 2.20674i −0.106354 0.198975i
\(124\) 0.888245 1.10386i 0.0797668 0.0991295i
\(125\) 3.02806 + 0.298238i 0.270838 + 0.0266752i
\(126\) −6.35906 + 0.343133i −0.566510 + 0.0305687i
\(127\) −12.1852 −1.08126 −0.540631 0.841260i \(-0.681815\pi\)
−0.540631 + 0.841260i \(0.681815\pi\)
\(128\) 4.16864 + 10.5177i 0.368460 + 0.929644i
\(129\) −5.84497 −0.514621
\(130\) −13.3619 + 0.721006i −1.17192 + 0.0632364i
\(131\) 22.6826 + 2.23404i 1.98179 + 0.195189i 0.999986 + 0.00527160i \(0.00167801\pi\)
0.981800 + 0.189917i \(0.0608220\pi\)
\(132\) −6.36057 5.11818i −0.553617 0.445480i
\(133\) 16.9301 + 31.6740i 1.46803 + 2.74648i
\(134\) 12.7813 + 0.566166i 1.10414 + 0.0489093i
\(135\) −0.584780 2.93989i −0.0503299 0.253025i
\(136\) 15.0199 + 3.53230i 1.28795 + 0.302892i
\(137\) 16.8290 + 3.34749i 1.43780 + 0.285995i 0.851607 0.524180i \(-0.175628\pi\)
0.586188 + 0.810175i \(0.300628\pi\)
\(138\) 1.40375 + 2.31661i 0.119495 + 0.197203i
\(139\) 14.2036 + 11.6566i 1.20474 + 0.988701i 0.999951 + 0.00989378i \(0.00314934\pi\)
0.204784 + 0.978807i \(0.434351\pi\)
\(140\) −18.9040 + 19.2720i −1.59768 + 1.62879i
\(141\) 0.986110 + 0.527087i 0.0830454 + 0.0443887i
\(142\) −1.23160 4.81817i −0.103354 0.404332i
\(143\) 4.93114 + 11.9048i 0.412363 + 0.995532i
\(144\) 3.99926 0.0771149i 0.333271 0.00642624i
\(145\) 7.14058 17.2389i 0.592993 1.43161i
\(146\) −7.90050 1.13304i −0.653850 0.0937708i
\(147\) 12.7060 3.85432i 1.04797 0.317899i
\(148\) 1.60228 8.48170i 0.131706 0.697192i
\(149\) −0.324346 3.29314i −0.0265715 0.269785i −0.999286 0.0377798i \(-0.987971\pi\)
0.972715 0.232005i \(-0.0745286\pi\)
\(150\) −4.54262 3.33522i −0.370903 0.272319i
\(151\) −17.4746 + 11.6762i −1.42207 + 0.950194i −0.423037 + 0.906112i \(0.639036\pi\)
−0.999028 + 0.0440813i \(0.985964\pi\)
\(152\) −9.93883 20.2510i −0.806145 1.64257i
\(153\) 3.03076 4.53585i 0.245022 0.366702i
\(154\) 23.5532 + 11.0012i 1.89797 + 0.886505i
\(155\) −2.03207 0.616421i −0.163220 0.0495121i
\(156\) −5.59630 2.92228i −0.448062 0.233969i
\(157\) −2.28664 2.78628i −0.182494 0.222369i 0.673726 0.738982i \(-0.264693\pi\)
−0.856220 + 0.516612i \(0.827193\pi\)
\(158\) −3.07970 6.43110i −0.245008 0.511631i
\(159\) 0.162988 0.162988i 0.0129258 0.0129258i
\(160\) 12.2858 11.6866i 0.971275 0.923909i
\(161\) −6.09881 6.09881i −0.480653 0.480653i
\(162\) 0.470011 1.33383i 0.0369275 0.104795i
\(163\) 9.65835 7.92640i 0.756500 0.620844i −0.175007 0.984567i \(-0.555995\pi\)
0.931507 + 0.363723i \(0.118495\pi\)
\(164\) −3.21190 3.83767i −0.250807 0.299671i
\(165\) −3.55189 + 11.7090i −0.276514 + 0.911546i
\(166\) −13.7598 + 4.99829i −1.06797 + 0.387943i
\(167\) 1.80056 + 1.20309i 0.139331 + 0.0930982i 0.623282 0.781997i \(-0.285799\pi\)
−0.483951 + 0.875095i \(0.660799\pi\)
\(168\) −12.3089 + 3.27307i −0.949651 + 0.252523i
\(169\) −1.68640 2.52387i −0.129723 0.194144i
\(170\) −3.50338 22.8582i −0.268697 1.75315i
\(171\) −7.93720 + 0.781746i −0.606973 + 0.0597816i
\(172\) −11.4428 + 2.39101i −0.872506 + 0.182313i
\(173\) 1.21034 + 3.98997i 0.0920208 + 0.303352i 0.990854 0.134939i \(-0.0430839\pi\)
−0.898833 + 0.438291i \(0.855584\pi\)
\(174\) 7.04562 5.27822i 0.534127 0.400141i
\(175\) 16.5784 + 6.86701i 1.25321 + 0.519097i
\(176\) −14.5459 7.41802i −1.09644 0.559154i
\(177\) −7.93145 + 3.28531i −0.596164 + 0.246939i
\(178\) −1.71167 + 2.88721i −0.128295 + 0.216406i
\(179\) 6.88601 12.8828i 0.514684 0.962907i −0.481568 0.876409i \(-0.659932\pi\)
0.996252 0.0864980i \(-0.0275676\pi\)
\(180\) −2.34746 5.51626i −0.174969 0.411157i
\(181\) 6.28348 7.65644i 0.467047 0.569099i −0.485209 0.874398i \(-0.661257\pi\)
0.952256 + 0.305299i \(0.0987565\pi\)
\(182\) 19.5235 + 4.79050i 1.44718 + 0.355096i
\(183\) −1.96103 + 9.85875i −0.144963 + 0.728780i
\(184\) 3.69580 + 3.96105i 0.272458 + 0.292012i
\(185\) −12.6881 + 2.52383i −0.932851 + 0.185556i
\(186\) −0.676385 0.739085i −0.0495949 0.0541923i
\(187\) −19.6391 + 10.4973i −1.43615 + 0.767639i
\(188\) 2.14614 + 0.628498i 0.156523 + 0.0458379i
\(189\) −0.441379 + 4.48139i −0.0321056 + 0.325973i
\(190\) −22.5839 + 25.1602i −1.63841 + 1.82531i
\(191\) 3.15301i 0.228144i 0.993472 + 0.114072i \(0.0363894\pi\)
−0.993472 + 0.114072i \(0.963611\pi\)
\(192\) 7.79787 1.78695i 0.562763 0.128962i
\(193\) 0.967727i 0.0696585i −0.999393 0.0348293i \(-0.988911\pi\)
0.999393 0.0348293i \(-0.0110887\pi\)
\(194\) −14.7695 13.2572i −1.06039 0.951812i
\(195\) −0.927445 + 9.41651i −0.0664157 + 0.674330i
\(196\) 23.2980 12.7433i 1.66414 0.910237i
\(197\) −2.19116 + 1.17120i −0.156114 + 0.0834446i −0.547604 0.836738i \(-0.684460\pi\)
0.391490 + 0.920182i \(0.371960\pi\)
\(198\) −4.25870 + 3.89741i −0.302652 + 0.276977i
\(199\) −20.0419 + 3.98659i −1.42073 + 0.282602i −0.844882 0.534952i \(-0.820330\pi\)
−0.575852 + 0.817554i \(0.695330\pi\)
\(200\) −10.2575 4.67116i −0.725315 0.330301i
\(201\) 1.76491 8.87280i 0.124487 0.625839i
\(202\) 0.963574 3.92701i 0.0677968 0.276304i
\(203\) −17.7830 + 21.6687i −1.24812 + 1.52084i
\(204\) 4.07788 10.1197i 0.285509 0.708522i
\(205\) −3.53562 + 6.61467i −0.246938 + 0.461989i
\(206\) 7.13546 + 4.23022i 0.497151 + 0.294733i
\(207\) 1.76956 0.732977i 0.122993 0.0509454i
\(208\) −12.1514 3.43171i −0.842548 0.237946i
\(209\) 30.0786 + 12.4590i 2.08058 + 0.861805i
\(210\) 11.4450 + 15.2774i 0.789782 + 1.05424i
\(211\) −0.826492 2.72458i −0.0568981 0.187568i 0.923885 0.382671i \(-0.124996\pi\)
−0.980783 + 0.195103i \(0.937496\pi\)
\(212\) 0.252410 0.385757i 0.0173356 0.0264939i
\(213\) −3.49957 + 0.344678i −0.239787 + 0.0236169i
\(214\) 15.1783 2.32632i 1.03757 0.159024i
\(215\) 9.73370 + 14.5675i 0.663833 + 0.993497i
\(216\) 0.374518 2.80352i 0.0254827 0.190756i
\(217\) 2.65248 + 1.77233i 0.180062 + 0.120314i
\(218\) 7.68596 + 21.1587i 0.520559 + 1.43305i
\(219\) −1.63827 + 5.40064i −0.110704 + 0.364941i
\(220\) −2.16378 + 24.3759i −0.145882 + 1.64343i
\(221\) −13.3115 + 10.9245i −0.895428 + 0.734859i
\(222\) −5.75660 2.02850i −0.386358 0.136144i
\(223\) −9.90223 9.90223i −0.663102 0.663102i 0.293008 0.956110i \(-0.405344\pi\)
−0.956110 + 0.293008i \(0.905344\pi\)
\(224\) −22.7584 + 11.4430i −1.52061 + 0.764565i
\(225\) −2.81776 + 2.81776i −0.187851 + 0.187851i
\(226\) 14.6184 7.00040i 0.972400 0.465660i
\(227\) −14.0543 17.1252i −0.932816 1.13664i −0.990391 0.138299i \(-0.955837\pi\)
0.0575742 0.998341i \(-0.481663\pi\)
\(228\) −15.2190 + 4.77732i −1.00790 + 0.316386i
\(229\) −24.9944 7.58196i −1.65168 0.501030i −0.679184 0.733968i \(-0.737666\pi\)
−0.972492 + 0.232938i \(0.925166\pi\)
\(230\) 3.43606 7.35647i 0.226567 0.485071i
\(231\) 10.2124 15.2839i 0.671926 1.00561i
\(232\) 11.6342 13.2154i 0.763821 0.867636i
\(233\) −14.0331 + 9.37660i −0.919337 + 0.614282i −0.922619 0.385713i \(-0.873956\pi\)
0.00328136 + 0.999995i \(0.498956\pi\)
\(234\) −2.64201 + 3.59846i −0.172714 + 0.235239i
\(235\) −0.328514 3.33546i −0.0214299 0.217582i
\(236\) −14.1836 + 9.67625i −0.923275 + 0.629870i
\(237\) −4.82490 + 1.46362i −0.313411 + 0.0950721i
\(238\) −4.93181 + 34.3887i −0.319681 + 2.22909i
\(239\) 6.43493 15.5353i 0.416241 1.00489i −0.567186 0.823590i \(-0.691968\pi\)
0.983427 0.181305i \(-0.0580320\pi\)
\(240\) −6.85221 9.83899i −0.442308 0.635104i
\(241\) −10.2936 24.8510i −0.663071 1.60080i −0.792964 0.609268i \(-0.791463\pi\)
0.129893 0.991528i \(-0.458537\pi\)
\(242\) 7.75944 1.98343i 0.498796 0.127500i
\(243\) −0.881921 0.471397i −0.0565753 0.0302401i
\(244\) 0.193797 + 20.1029i 0.0124066 + 1.28695i
\(245\) −30.7656 25.2487i −1.96554 1.61308i
\(246\) −3.02639 + 1.83383i −0.192956 + 0.116921i
\(247\) 24.6926 + 4.91166i 1.57115 + 0.312522i
\(248\) −1.62651 1.17023i −0.103283 0.0743097i
\(249\) 2.01952 + 10.1528i 0.127982 + 0.643408i
\(250\) 0.190422 4.29883i 0.0120434 0.271882i
\(251\) −12.8994 24.1332i −0.814205 1.52327i −0.851733 0.523975i \(-0.824448\pi\)
0.0375281 0.999296i \(-0.488052\pi\)
\(252\) 0.969116 + 8.95386i 0.0610486 + 0.564040i
\(253\) −7.78095 0.766357i −0.489184 0.0481805i
\(254\) 0.928508 + 17.2075i 0.0582598 + 1.07969i
\(255\) −16.3519 −1.02400
\(256\) 14.5350 6.68824i 0.908440 0.418015i
\(257\) 20.6047 1.28528 0.642642 0.766166i \(-0.277838\pi\)
0.642642 + 0.766166i \(0.277838\pi\)
\(258\) 0.445384 + 8.25403i 0.0277284 + 0.513873i
\(259\) 19.3411 + 1.90493i 1.20180 + 0.118367i
\(260\) 2.03635 + 18.8143i 0.126289 + 1.16681i
\(261\) −2.93443 5.48993i −0.181637 0.339818i
\(262\) 1.42642 32.2016i 0.0881242 1.98942i
\(263\) 1.77532 + 8.92515i 0.109471 + 0.550349i 0.996128 + 0.0879198i \(0.0280219\pi\)
−0.886656 + 0.462429i \(0.846978\pi\)
\(264\) −6.74301 + 9.37215i −0.415004 + 0.576816i
\(265\) −0.677642 0.134791i −0.0416272 0.00828017i
\(266\) 43.4387 26.3216i 2.66340 1.61388i
\(267\) 1.83464 + 1.50565i 0.112278 + 0.0921445i
\(268\) −0.174415 18.0924i −0.0106541 1.10517i
\(269\) −9.80533 5.24106i −0.597842 0.319553i 0.144572 0.989494i \(-0.453819\pi\)
−0.742414 + 0.669941i \(0.766319\pi\)
\(270\) −4.10703 + 1.04982i −0.249946 + 0.0638901i
\(271\) −4.36059 10.5274i −0.264887 0.639493i 0.734341 0.678781i \(-0.237491\pi\)
−0.999228 + 0.0392873i \(0.987491\pi\)
\(272\) 3.84366 21.4797i 0.233056 1.30240i
\(273\) 5.43974 13.1327i 0.329228 0.794827i
\(274\) 3.44483 24.0202i 0.208110 1.45112i
\(275\) 15.5662 4.72195i 0.938676 0.284744i
\(276\) 3.16446 2.15884i 0.190478 0.129947i
\(277\) 1.24182 + 12.6084i 0.0746137 + 0.757565i 0.957587 + 0.288143i \(0.0930378\pi\)
−0.882974 + 0.469422i \(0.844462\pi\)
\(278\) 15.3787 20.9460i 0.922352 1.25626i
\(279\) −0.589037 + 0.393582i −0.0352647 + 0.0235631i
\(280\) 28.6557 + 25.2270i 1.71250 + 1.50760i
\(281\) −0.100773 + 0.150818i −0.00601164 + 0.00899705i −0.834463 0.551064i \(-0.814222\pi\)
0.828452 + 0.560061i \(0.189222\pi\)
\(282\) 0.669189 1.43271i 0.0398496 0.0853165i
\(283\) 5.32808 + 1.61625i 0.316721 + 0.0960763i 0.444643 0.895708i \(-0.353331\pi\)
−0.127922 + 0.991784i \(0.540831\pi\)
\(284\) −6.71018 + 2.10636i −0.398176 + 0.124989i
\(285\) 15.1663 + 18.4802i 0.898373 + 1.09467i
\(286\) 16.4358 7.87070i 0.971867 0.465404i
\(287\) 7.96739 7.96739i 0.470300 0.470300i
\(288\) −0.413640 5.64171i −0.0243740 0.332441i
\(289\) −9.02230 9.02230i −0.530724 0.530724i
\(290\) −24.8882 8.77004i −1.46148 0.514995i
\(291\) −10.8482 + 8.90291i −0.635934 + 0.521898i
\(292\) −0.998014 + 11.2431i −0.0584044 + 0.657952i
\(293\) 9.62755 31.7378i 0.562447 1.85414i 0.0439982 0.999032i \(-0.485990\pi\)
0.518449 0.855108i \(-0.326510\pi\)
\(294\) −6.41110 17.6492i −0.373903 1.02932i
\(295\) 21.3964 + 14.2966i 1.24575 + 0.832381i
\(296\) −12.0996 1.61637i −0.703276 0.0939495i
\(297\) 2.26787 + 3.39410i 0.131595 + 0.196946i
\(298\) −4.62573 + 0.708965i −0.267961 + 0.0410692i
\(299\) −6.01705 + 0.592627i −0.347975 + 0.0342725i
\(300\) −4.36371 + 6.66904i −0.251939 + 0.385037i
\(301\) −7.64040 25.1870i −0.440385 1.45176i
\(302\) 17.8202 + 23.7872i 1.02544 + 1.36880i
\(303\) −2.64154 1.09416i −0.151753 0.0628581i
\(304\) −27.8403 + 15.5783i −1.59675 + 0.893478i
\(305\) 27.8369 11.5304i 1.59393 0.660229i
\(306\) −6.63629 3.93428i −0.379371 0.224908i
\(307\) 2.98734 5.58892i 0.170496 0.318976i −0.782132 0.623113i \(-0.785868\pi\)
0.952629 + 0.304136i \(0.0983678\pi\)
\(308\) 13.7408 34.0992i 0.782952 1.94298i
\(309\) 3.72107 4.53414i 0.211684 0.257938i
\(310\) −0.715641 + 2.91657i −0.0406457 + 0.165650i
\(311\) −1.08294 + 5.44432i −0.0614080 + 0.308719i −0.999266 0.0382996i \(-0.987806\pi\)
0.937858 + 0.347018i \(0.112806\pi\)
\(312\) −3.70028 + 8.12554i −0.209487 + 0.460018i
\(313\) 9.70946 1.93133i 0.548811 0.109165i 0.0871063 0.996199i \(-0.472238\pi\)
0.461705 + 0.887034i \(0.347238\pi\)
\(314\) −3.76043 + 3.44142i −0.212213 + 0.194210i
\(315\) 11.9041 6.36287i 0.670719 0.358507i
\(316\) −8.84706 + 4.83908i −0.497686 + 0.272219i
\(317\) −0.224979 + 2.28425i −0.0126361 + 0.128296i −0.999433 0.0336651i \(-0.989282\pi\)
0.986797 + 0.161961i \(0.0517820\pi\)
\(318\) −0.242584 0.217745i −0.0136034 0.0122105i
\(319\) 25.4107i 1.42272i
\(320\) −17.4395 16.4589i −0.974900 0.920082i
\(321\) 10.8580i 0.606036i
\(322\) −8.14776 + 9.07721i −0.454057 + 0.505853i
\(323\) −4.26460 + 43.2992i −0.237289 + 2.40923i
\(324\) −1.91939 0.562093i −0.106633 0.0312274i
\(325\) 11.0937 5.92972i 0.615369 0.328922i
\(326\) −11.9293 13.0351i −0.660703 0.721950i
\(327\) 15.6122 3.10545i 0.863354 0.171732i
\(328\) −5.17465 + 4.82814i −0.285722 + 0.266589i
\(329\) −0.982292 + 4.93832i −0.0541555 + 0.272258i
\(330\) 16.8057 + 4.12361i 0.925121 + 0.226998i
\(331\) −12.3874 + 15.0941i −0.680875 + 0.829649i −0.992715 0.120486i \(-0.961555\pi\)
0.311840 + 0.950135i \(0.399055\pi\)
\(332\) 8.10688 + 19.0502i 0.444923 + 1.04552i
\(333\) −2.03448 + 3.80625i −0.111489 + 0.208581i
\(334\) 1.56176 2.63435i 0.0854556 0.144145i
\(335\) −25.0529 + 10.3773i −1.36879 + 0.566971i
\(336\) 5.56003 + 17.1327i 0.303324 + 0.934665i
\(337\) 16.7433 + 6.93531i 0.912066 + 0.377790i 0.788847 0.614589i \(-0.210678\pi\)
0.123219 + 0.992380i \(0.460678\pi\)
\(338\) −3.43561 + 2.57378i −0.186872 + 0.139995i
\(339\) −3.32691 10.9674i −0.180693 0.595665i
\(340\) −32.0125 + 6.68912i −1.73612 + 0.362768i
\(341\) 2.87792 0.283450i 0.155848 0.0153497i
\(342\) 1.70876 + 11.1490i 0.0923993 + 0.602870i
\(343\) 15.7054 + 23.5048i 0.848013 + 1.26914i
\(344\) 4.24843 + 15.9769i 0.229060 + 0.861415i
\(345\) −4.77368 3.18967i −0.257007 0.171726i
\(346\) 5.54224 2.01323i 0.297953 0.108232i
\(347\) 9.46725 31.2094i 0.508229 1.67541i −0.208475 0.978028i \(-0.566850\pi\)
0.716704 0.697378i \(-0.245650\pi\)
\(348\) −7.99056 9.54735i −0.428339 0.511791i
\(349\) 26.9795 22.1415i 1.44418 1.18521i 0.495645 0.868525i \(-0.334932\pi\)
0.948532 0.316680i \(-0.102568\pi\)
\(350\) 8.43404 23.9346i 0.450819 1.27936i
\(351\) 2.23210 + 2.23210i 0.119141 + 0.119141i
\(352\) −9.36703 + 21.1064i −0.499264 + 1.12497i
\(353\) −21.8689 + 21.8689i −1.16397 + 1.16397i −0.180367 + 0.983599i \(0.557728\pi\)
−0.983599 + 0.180367i \(0.942272\pi\)
\(354\) 5.24376 + 10.9501i 0.278703 + 0.581993i
\(355\) 6.68693 + 8.14805i 0.354905 + 0.432453i
\(356\) 4.20764 + 2.19714i 0.223004 + 0.116448i
\(357\) 23.5075 + 7.13093i 1.24415 + 0.377409i
\(358\) −18.7173 8.74248i −0.989240 0.462054i
\(359\) 3.83671 5.74205i 0.202494 0.303054i −0.716299 0.697794i \(-0.754165\pi\)
0.918793 + 0.394740i \(0.129165\pi\)
\(360\) −7.61096 + 3.73532i −0.401133 + 0.196869i
\(361\) 37.0921 24.7842i 1.95222 1.30443i
\(362\) −11.2909 8.28985i −0.593437 0.435705i
\(363\) −0.555087 5.63590i −0.0291345 0.295808i
\(364\) 5.27727 27.9354i 0.276604 1.46421i
\(365\) 16.1883 4.91068i 0.847336 0.257036i
\(366\) 14.0716 + 2.01805i 0.735532 + 0.105485i
\(367\) 1.69579 4.09401i 0.0885197 0.213706i −0.873420 0.486968i \(-0.838103\pi\)
0.961939 + 0.273263i \(0.0881028\pi\)
\(368\) 5.31201 5.52089i 0.276908 0.287796i
\(369\) 0.957550 + 2.31173i 0.0498480 + 0.120344i
\(370\) 4.53088 + 17.7254i 0.235549 + 0.921498i
\(371\) 0.915396 + 0.489289i 0.0475250 + 0.0254026i
\(372\) −0.992165 + 1.01148i −0.0514414 + 0.0524428i
\(373\) −9.88104 8.10916i −0.511621 0.419877i 0.342839 0.939394i \(-0.388612\pi\)
−0.854460 + 0.519518i \(0.826112\pi\)
\(374\) 16.3204 + 26.9336i 0.843906 + 1.39270i
\(375\) −2.98425 0.593604i −0.154106 0.0306536i
\(376\) 0.724003 3.07858i 0.0373376 0.158766i
\(377\) 3.83356 + 19.2726i 0.197438 + 0.992589i
\(378\) 6.36208 + 0.281817i 0.327230 + 0.0144951i
\(379\) 13.9161 + 26.0352i 0.714823 + 1.33734i 0.932447 + 0.361306i \(0.117669\pi\)
−0.217625 + 0.976033i \(0.569831\pi\)
\(380\) 37.2510 + 29.9749i 1.91094 + 1.53768i
\(381\) 12.1265 + 1.19436i 0.621261 + 0.0611889i
\(382\) 4.45255 0.240258i 0.227812 0.0122927i
\(383\) −20.8865 −1.06725 −0.533626 0.845720i \(-0.679171\pi\)
−0.533626 + 0.845720i \(0.679171\pi\)
\(384\) −3.11766 10.8757i −0.159097 0.554997i
\(385\) −55.0992 −2.80811
\(386\) −1.36659 + 0.0737404i −0.0695574 + 0.00375329i
\(387\) 5.81683 + 0.572907i 0.295686 + 0.0291225i
\(388\) −17.5958 + 21.8671i −0.893294 + 1.11013i
\(389\) −0.578612 1.08251i −0.0293368 0.0548853i 0.866826 0.498611i \(-0.166156\pi\)
−0.896163 + 0.443726i \(0.853656\pi\)
\(390\) 13.3683 + 0.592166i 0.676929 + 0.0299855i
\(391\) −2.03844 10.2479i −0.103089 0.518261i
\(392\) −19.7709 31.9295i −0.998581 1.61268i
\(393\) −22.3544 4.44656i −1.12763 0.224299i
\(394\) 1.82089 + 3.00503i 0.0917350 + 0.151391i
\(395\) 11.6828 + 9.58779i 0.587823 + 0.482414i
\(396\) 5.82828 + 5.71698i 0.292882 + 0.287289i
\(397\) 4.31961 + 2.30888i 0.216795 + 0.115879i 0.576220 0.817295i \(-0.304527\pi\)
−0.359425 + 0.933174i \(0.617027\pi\)
\(398\) 7.15688 + 27.9986i 0.358742 + 1.40344i
\(399\) −13.7440 33.1809i −0.688060 1.66112i
\(400\) −5.81480 + 14.8412i −0.290740 + 0.742059i
\(401\) −4.95524 + 11.9630i −0.247453 + 0.597404i −0.997986 0.0634286i \(-0.979796\pi\)
0.750534 + 0.660832i \(0.229796\pi\)
\(402\) −12.6643 1.81623i −0.631637 0.0905853i
\(403\) 2.13998 0.649157i 0.106600 0.0323368i
\(404\) −5.61899 1.06148i −0.279555 0.0528107i
\(405\) 0.293805 + 2.98305i 0.0145993 + 0.148229i
\(406\) 31.9546 + 23.4613i 1.58588 + 1.16436i
\(407\) 14.6485 9.78780i 0.726098 0.485163i
\(408\) −14.6014 4.98750i −0.722876 0.246918i
\(409\) −3.41077 + 5.10458i −0.168652 + 0.252405i −0.906162 0.422931i \(-0.861001\pi\)
0.737510 + 0.675336i \(0.236001\pi\)
\(410\) 9.61038 + 4.48882i 0.474623 + 0.221687i
\(411\) −16.4198 4.98090i −0.809930 0.245689i
\(412\) 5.43002 10.3987i 0.267518 0.512310i
\(413\) −24.5248 29.8835i −1.20679 1.47047i
\(414\) −1.16992 2.44305i −0.0574984 0.120069i
\(415\) 21.9409 21.9409i 1.07704 1.07704i
\(416\) −3.92018 + 17.4212i −0.192203 + 0.854145i
\(417\) −12.9927 12.9927i −0.636254 0.636254i
\(418\) 15.3021 43.4252i 0.748449 2.12399i
\(419\) 3.43435 2.81849i 0.167779 0.137692i −0.546757 0.837291i \(-0.684138\pi\)
0.714536 + 0.699599i \(0.246638\pi\)
\(420\) 20.7020 17.3263i 1.01015 0.845438i
\(421\) −0.112416 + 0.370587i −0.00547884 + 0.0180613i −0.959637 0.281241i \(-0.909254\pi\)
0.954158 + 0.299302i \(0.0967539\pi\)
\(422\) −3.78456 + 1.37475i −0.184230 + 0.0669218i
\(423\) −0.929698 0.621204i −0.0452035 0.0302040i
\(424\) −0.563985 0.327049i −0.0273895 0.0158829i
\(425\) 12.0773 + 18.0750i 0.585836 + 0.876765i
\(426\) 0.753406 + 4.91569i 0.0365026 + 0.238166i
\(427\) −45.0465 + 4.43669i −2.17995 + 0.214707i
\(428\) −4.44171 21.2570i −0.214698 1.02749i
\(429\) −3.74052 12.3308i −0.180594 0.595339i
\(430\) 19.8300 14.8556i 0.956285 0.716400i
\(431\) −14.8942 6.16938i −0.717429 0.297169i −0.00605420 0.999982i \(-0.501927\pi\)
−0.711375 + 0.702813i \(0.751927\pi\)
\(432\) −3.98756 0.315252i −0.191851 0.0151676i
\(433\) −8.77028 + 3.63277i −0.421473 + 0.174580i −0.583332 0.812234i \(-0.698251\pi\)
0.161859 + 0.986814i \(0.448251\pi\)
\(434\) 2.30069 3.88077i 0.110437 0.186283i
\(435\) −8.79590 + 16.4560i −0.421731 + 0.789004i
\(436\) 29.2939 12.4661i 1.40292 0.597017i
\(437\) −9.69109 + 11.8086i −0.463588 + 0.564883i
\(438\) 7.75140 + 1.90197i 0.370376 + 0.0908794i
\(439\) −1.91455 + 9.62509i −0.0913764 + 0.459380i 0.907822 + 0.419355i \(0.137744\pi\)
−0.999199 + 0.0400251i \(0.987256\pi\)
\(440\) 34.5876 + 1.19816i 1.64890 + 0.0571200i
\(441\) −13.0226 + 2.59035i −0.620123 + 0.123350i
\(442\) 16.4414 + 17.9655i 0.782038 + 0.854533i
\(443\) 4.09343 2.18799i 0.194485 0.103954i −0.371280 0.928521i \(-0.621081\pi\)
0.565765 + 0.824567i \(0.308581\pi\)
\(444\) −2.42591 + 8.28381i −0.115129 + 0.393132i
\(445\) 0.697309 7.07990i 0.0330556 0.335619i
\(446\) −13.2290 + 14.7381i −0.626410 + 0.697868i
\(447\) 3.30908i 0.156514i
\(448\) 17.8935 + 31.2666i 0.845387 + 1.47721i
\(449\) 1.80577i 0.0852195i −0.999092 0.0426097i \(-0.986433\pi\)
0.999092 0.0426097i \(-0.0135672\pi\)
\(450\) 4.19383 + 3.76441i 0.197699 + 0.177456i
\(451\) 1.00116 10.1649i 0.0471427 0.478647i
\(452\) −10.9996 20.1101i −0.517377 0.945898i
\(453\) 18.5349 9.90714i 0.870848 0.465478i
\(454\) −23.1126 + 21.1518i −1.08473 + 0.992705i
\(455\) −41.7897 + 8.31249i −1.95913 + 0.389696i
\(456\) 7.90602 + 21.1276i 0.370234 + 0.989392i
\(457\) 2.40473 12.0894i 0.112489 0.565518i −0.882897 0.469566i \(-0.844410\pi\)
0.995386 0.0959521i \(-0.0305896\pi\)
\(458\) −8.80238 + 35.8738i −0.411308 + 1.67627i
\(459\) −3.46076 + 4.21694i −0.161534 + 0.196830i
\(460\) −10.6503 4.29170i −0.496574 0.200102i
\(461\) 5.10393 9.54877i 0.237714 0.444731i −0.734571 0.678532i \(-0.762617\pi\)
0.972284 + 0.233801i \(0.0751165\pi\)
\(462\) −22.3615 13.2569i −1.04035 0.616766i
\(463\) 30.4630 12.6182i 1.41573 0.586416i 0.461950 0.886906i \(-0.347150\pi\)
0.953785 + 0.300490i \(0.0971501\pi\)
\(464\) −19.5488 15.4223i −0.907531 0.715962i
\(465\) 1.96186 + 0.812630i 0.0909792 + 0.0376848i
\(466\) 14.3106 + 19.1024i 0.662924 + 0.884904i
\(467\) 10.2181 + 33.6844i 0.472835 + 1.55873i 0.791688 + 0.610925i \(0.209202\pi\)
−0.318853 + 0.947804i \(0.603298\pi\)
\(468\) 5.28292 + 3.45674i 0.244203 + 0.159788i
\(469\) 40.5415 3.99299i 1.87203 0.184379i
\(470\) −4.68517 + 0.718076i −0.216111 + 0.0331224i
\(471\) 2.00253 + 2.99699i 0.0922716 + 0.138094i
\(472\) 14.7452 + 19.2922i 0.678703 + 0.887995i
\(473\) −19.8384 13.2556i −0.912172 0.609494i
\(474\) 2.43451 + 6.70200i 0.111821 + 0.307833i
\(475\) 9.22585 30.4136i 0.423311 1.39547i
\(476\) 48.9382 + 4.34409i 2.24308 + 0.199111i
\(477\) −0.178178 + 0.146227i −0.00815823 + 0.00669528i
\(478\) −22.4286 7.90336i −1.02586 0.361491i
\(479\) 23.4632 + 23.4632i 1.07206 + 1.07206i 0.997194 + 0.0748657i \(0.0238528\pi\)
0.0748657 + 0.997194i \(0.476147\pi\)
\(480\) −13.3721 + 10.4261i −0.610350 + 0.475886i
\(481\) 9.63344 9.63344i 0.439247 0.439247i
\(482\) −34.3092 + 16.4299i −1.56274 + 0.748361i
\(483\) 5.47165 + 6.66723i 0.248969 + 0.303369i
\(484\) −3.39219 10.8064i −0.154190 0.491201i
\(485\) 40.2546 + 12.2111i 1.82787 + 0.554477i
\(486\) −0.598485 + 1.28133i −0.0271478 + 0.0581225i
\(487\) 15.4971 23.1930i 0.702239 1.05097i −0.293244 0.956038i \(-0.594735\pi\)
0.995483 0.0949374i \(-0.0302651\pi\)
\(488\) 28.3737 1.80550i 1.28442 0.0817312i
\(489\) −10.3888 + 6.94155i −0.469796 + 0.313908i
\(490\) −33.3108 + 45.3699i −1.50483 + 2.04960i
\(491\) 0.645371 + 6.55256i 0.0291252 + 0.295713i 0.998702 + 0.0509271i \(0.0162176\pi\)
−0.969577 + 0.244786i \(0.921282\pi\)
\(492\) 2.82028 + 4.13401i 0.127148 + 0.186375i
\(493\) −32.4963 + 9.85766i −1.46356 + 0.443967i
\(494\) 5.05448 35.2442i 0.227412 1.58571i
\(495\) 4.68247 11.3045i 0.210462 0.508099i
\(496\) −1.52861 + 2.38606i −0.0686367 + 0.107137i
\(497\) −6.05983 14.6297i −0.271820 0.656233i
\(498\) 14.1835 3.62552i 0.635578 0.162464i
\(499\) −30.9275 16.5311i −1.38451 0.740034i −0.400188 0.916433i \(-0.631055\pi\)
−0.984319 + 0.176399i \(0.943555\pi\)
\(500\) −6.08514 + 0.0586623i −0.272136 + 0.00262346i
\(501\) −1.67396 1.37379i −0.0747872 0.0613762i
\(502\) −33.0969 + 20.0550i −1.47719 + 0.895098i
\(503\) 10.6765 + 2.12370i 0.476044 + 0.0946910i 0.427280 0.904119i \(-0.359472\pi\)
0.0487638 + 0.998810i \(0.484472\pi\)
\(504\) 12.5704 2.05083i 0.559932 0.0913511i
\(505\) 1.67200 + 8.40569i 0.0744028 + 0.374048i
\(506\) −0.489313 + 11.0463i −0.0217526 + 0.491070i
\(507\) 1.43089 + 2.67702i 0.0635483 + 0.118890i
\(508\) 24.2289 2.62240i 1.07498 0.116350i
\(509\) 11.6472 + 1.14715i 0.516252 + 0.0508464i 0.352789 0.935703i \(-0.385233\pi\)
0.163463 + 0.986549i \(0.447733\pi\)
\(510\) 1.24601 + 23.0915i 0.0551743 + 1.02251i
\(511\) −25.4138 −1.12424
\(512\) −10.5524 20.0162i −0.466355 0.884597i
\(513\) 7.97561 0.352132
\(514\) −1.57007 29.0971i −0.0692528 1.28342i
\(515\) −17.4973 1.72333i −0.771021 0.0759390i
\(516\) 11.6221 1.25791i 0.511633 0.0553763i
\(517\) 2.15160 + 4.02535i 0.0946271 + 0.177035i
\(518\) 1.21628 27.4578i 0.0534403 1.20643i
\(519\) −0.813430 4.08939i −0.0357056 0.179504i
\(520\) 26.4136 4.30929i 1.15831 0.188975i
\(521\) −5.12812 1.02005i −0.224667 0.0446891i 0.0814729 0.996676i \(-0.474038\pi\)
−0.306140 + 0.951986i \(0.599038\pi\)
\(522\) −7.52905 + 4.56221i −0.329538 + 0.199683i
\(523\) −21.8372 17.9213i −0.954875 0.783646i 0.0214912 0.999769i \(-0.493159\pi\)
−0.976366 + 0.216123i \(0.930659\pi\)
\(524\) −45.5825 + 0.439427i −1.99128 + 0.0191965i
\(525\) −15.8255 8.45892i −0.690682 0.369177i
\(526\) 12.4685 3.18713i 0.543651 0.138966i
\(527\) 1.47893 + 3.57046i 0.0644233 + 0.155532i
\(528\) 13.7488 + 8.80805i 0.598339 + 0.383321i
\(529\) −7.39780 + 17.8599i −0.321644 + 0.776517i
\(530\) −0.138711 + 0.967210i −0.00602522 + 0.0420129i
\(531\) 8.21528 2.49208i 0.356513 0.108147i
\(532\) −40.4802 59.3366i −1.75504 2.57257i
\(533\) −0.774199 7.86058i −0.0335343 0.340479i
\(534\) 1.98642 2.70554i 0.0859609 0.117080i
\(535\) −27.0617 + 18.0820i −1.16998 + 0.781754i
\(536\) −25.5361 + 1.62494i −1.10299 + 0.0701866i
\(537\) −8.11559 + 12.1458i −0.350213 + 0.524131i
\(538\) −6.65405 + 14.2461i −0.286876 + 0.614191i
\(539\) 51.8665 + 15.7335i 2.23405 + 0.677691i
\(540\) 1.79547 + 5.71978i 0.0772647 + 0.246140i
\(541\) −7.96509 9.70549i −0.342446 0.417272i 0.573100 0.819486i \(-0.305741\pi\)
−0.915546 + 0.402214i \(0.868241\pi\)
\(542\) −14.5341 + 6.96003i −0.624292 + 0.298959i
\(543\) −7.00368 + 7.00368i −0.300557 + 0.300557i
\(544\) −30.6256 3.79111i −1.31306 0.162543i
\(545\) −33.7389 33.7389i −1.44522 1.44522i
\(546\) −18.9600 6.68107i −0.811412 0.285924i
\(547\) −9.65254 + 7.92163i −0.412713 + 0.338705i −0.817727 0.575606i \(-0.804766\pi\)
0.405015 + 0.914310i \(0.367266\pi\)
\(548\) −34.1829 3.03431i −1.46022 0.129619i
\(549\) 2.91791 9.61906i 0.124533 0.410532i
\(550\) −7.85428 21.6221i −0.334908 0.921970i
\(551\) 41.2807 + 27.5829i 1.75862 + 1.17507i
\(552\) −3.28976 4.30422i −0.140021 0.183200i
\(553\) −12.6140 18.8781i −0.536400 0.802780i
\(554\) 17.7104 2.71440i 0.752444 0.115324i
\(555\) 12.8744 1.26802i 0.546489 0.0538245i
\(556\) −30.7509 20.1211i −1.30413 0.853323i
\(557\) 3.71429 + 12.2444i 0.157380 + 0.518811i 0.999800 0.0200099i \(-0.00636978\pi\)
−0.842420 + 0.538821i \(0.818870\pi\)
\(558\) 0.600685 + 0.801823i 0.0254290 + 0.0339439i
\(559\) −17.0462 7.06075i −0.720976 0.298638i
\(560\) 33.4409 42.3887i 1.41314 1.79125i
\(561\) 20.5734 8.52179i 0.868611 0.359790i
\(562\) 0.220658 + 0.130816i 0.00930790 + 0.00551813i
\(563\) 1.86729 3.49346i 0.0786971 0.147232i −0.839495 0.543368i \(-0.817149\pi\)
0.918192 + 0.396136i \(0.129649\pi\)
\(564\) −2.07420 0.835830i −0.0873397 0.0351948i
\(565\) −21.7938 + 26.5558i −0.916872 + 1.11721i
\(566\) 1.87641 7.64725i 0.0788714 0.321438i
\(567\) 0.878507 4.41655i 0.0368938 0.185478i
\(568\) 3.48583 + 9.31534i 0.146262 + 0.390863i
\(569\) 32.1360 6.39225i 1.34721 0.267977i 0.531805 0.846867i \(-0.321514\pi\)
0.815406 + 0.578890i \(0.196514\pi\)
\(570\) 24.9413 22.8254i 1.04468 0.956050i
\(571\) −19.7859 + 10.5758i −0.828015 + 0.442583i −0.830234 0.557414i \(-0.811793\pi\)
0.00221956 + 0.999998i \(0.499293\pi\)
\(572\) −12.3671 22.6102i −0.517094 0.945379i
\(573\) 0.309049 3.13783i 0.0129107 0.131085i
\(574\) −11.8583 10.6441i −0.494957 0.444277i
\(575\) 7.63254i 0.318299i
\(576\) −7.93547 + 1.01402i −0.330645 + 0.0422509i
\(577\) 11.9129i 0.495941i 0.968768 + 0.247971i \(0.0797636\pi\)
−0.968768 + 0.247971i \(0.920236\pi\)
\(578\) −12.0534 + 13.4284i −0.501357 + 0.558549i
\(579\) −0.0948539 + 0.963068i −0.00394199 + 0.0400237i
\(580\) −10.4882 + 35.8143i −0.435500 + 1.48711i
\(581\) −41.1104 + 21.9740i −1.70555 + 0.911634i
\(582\) 13.3990 + 14.6410i 0.555405 + 0.606890i
\(583\) 0.922831 0.183563i 0.0382198 0.00760239i
\(584\) 15.9531 + 0.552636i 0.660143 + 0.0228682i
\(585\) 1.84596 9.28026i 0.0763210 0.383691i
\(586\) −45.5524 11.1772i −1.88175 0.461727i
\(587\) 9.04347 11.0195i 0.373264 0.454824i −0.552170 0.833731i \(-0.686200\pi\)
0.925434 + 0.378908i \(0.123700\pi\)
\(588\) −24.4349 + 10.3983i −1.00768 + 0.428821i
\(589\) 2.66346 4.98299i 0.109746 0.205320i
\(590\) 18.5587 31.3045i 0.764049 1.28879i
\(591\) 2.29541 0.950790i 0.0944205 0.0391103i
\(592\) −1.36058 + 17.2097i −0.0559197 + 0.707316i
\(593\) 15.2823 + 6.33013i 0.627568 + 0.259947i 0.673719 0.738987i \(-0.264696\pi\)
−0.0461513 + 0.998934i \(0.514696\pi\)
\(594\) 4.62020 3.46122i 0.189569 0.142016i
\(595\) −21.3748 70.4634i −0.876283 2.88872i
\(596\) 1.35365 + 6.47824i 0.0554476 + 0.265359i
\(597\) 20.3362 2.00294i 0.832304 0.0819748i
\(598\) 1.29538 + 8.45187i 0.0529720 + 0.345623i
\(599\) 11.9431 + 17.8741i 0.487980 + 0.730314i 0.990986 0.133969i \(-0.0427723\pi\)
−0.503005 + 0.864283i \(0.667772\pi\)
\(600\) 9.75026 + 5.65408i 0.398053 + 0.230827i
\(601\) −2.53430 1.69337i −0.103376 0.0690739i 0.502808 0.864398i \(-0.332300\pi\)
−0.606184 + 0.795325i \(0.707300\pi\)
\(602\) −34.9859 + 12.7087i −1.42592 + 0.517968i
\(603\) −2.62610 + 8.65708i −0.106943 + 0.352544i
\(604\) 32.2335 26.9775i 1.31156 1.09770i
\(605\) −13.1220 + 10.7690i −0.533487 + 0.437821i
\(606\) −1.34385 + 3.81366i −0.0545901 + 0.154919i
\(607\) 10.5909 + 10.5909i 0.429873 + 0.429873i 0.888585 0.458712i \(-0.151689\pi\)
−0.458712 + 0.888585i \(0.651689\pi\)
\(608\) 24.1205 + 38.1278i 0.978215 + 1.54629i
\(609\) 19.8213 19.8213i 0.803198 0.803198i
\(610\) −18.4039 38.4315i −0.745153 1.55604i
\(611\) 2.23915 + 2.72841i 0.0905863 + 0.110380i
\(612\) −5.05015 + 9.67129i −0.204140 + 0.390939i
\(613\) 16.3819 + 4.96939i 0.661658 + 0.200712i 0.603214 0.797579i \(-0.293886\pi\)
0.0584433 + 0.998291i \(0.481386\pi\)
\(614\) −8.12007 3.79272i −0.327699 0.153062i
\(615\) 4.16694 6.23627i 0.168027 0.251471i
\(616\) −49.2005 16.8058i −1.98235 0.677125i
\(617\) 1.35226 0.903548i 0.0544398 0.0363755i −0.528053 0.849212i \(-0.677078\pi\)
0.582492 + 0.812836i \(0.302078\pi\)
\(618\) −6.68647 4.90925i −0.268969 0.197479i
\(619\) −1.92749 19.5702i −0.0774725 0.786591i −0.952909 0.303257i \(-0.901926\pi\)
0.875436 0.483334i \(-0.160574\pi\)
\(620\) 4.17320 + 0.788358i 0.167600 + 0.0316612i
\(621\) −1.83289 + 0.556000i −0.0735512 + 0.0223115i
\(622\) 7.77076 + 1.11443i 0.311579 + 0.0446846i
\(623\) −4.08993 + 9.87396i −0.163859 + 0.395592i
\(624\) 11.7565 + 4.60623i 0.470637 + 0.184397i
\(625\) 11.1151 + 26.8341i 0.444602 + 1.07336i
\(626\) −3.46720 13.5641i −0.138577 0.542132i
\(627\) −28.7126 15.3472i −1.14667 0.612908i
\(628\) 5.14637 + 5.04809i 0.205363 + 0.201441i
\(629\) 18.1997 + 14.9361i 0.725671 + 0.595543i
\(630\) −9.89247 16.3256i −0.394125 0.650428i
\(631\) 12.4301 + 2.47250i 0.494834 + 0.0984287i 0.436198 0.899851i \(-0.356325\pi\)
0.0586364 + 0.998279i \(0.481325\pi\)
\(632\) 7.50769 + 12.1247i 0.298640 + 0.482296i
\(633\) 0.555457 + 2.79247i 0.0220774 + 0.110991i
\(634\) 3.24287 + 0.143647i 0.128791 + 0.00570496i
\(635\) −17.2178 32.2121i −0.683266 1.27830i
\(636\) −0.289006 + 0.359159i −0.0114598 + 0.0142416i
\(637\) 41.7115 + 4.10823i 1.65267 + 0.162774i
\(638\) 35.8839 1.93628i 1.42066 0.0766581i
\(639\) 3.51650 0.139111
\(640\) −21.9137 + 25.8816i −0.866217 + 1.02306i
\(641\) −15.2506 −0.602363 −0.301181 0.953567i \(-0.597381\pi\)
−0.301181 + 0.953567i \(0.597381\pi\)
\(642\) −15.3333 + 0.827378i −0.605156 + 0.0326540i
\(643\) 9.66078 + 0.951504i 0.380984 + 0.0375237i 0.286697 0.958021i \(-0.407443\pi\)
0.0942873 + 0.995545i \(0.469943\pi\)
\(644\) 13.4393 + 10.8143i 0.529584 + 0.426141i
\(645\) −8.25897 15.4514i −0.325197 0.608400i
\(646\) 61.4703 + 2.72291i 2.41852 + 0.107132i
\(647\) −2.49466 12.5415i −0.0980753 0.493058i −0.998334 0.0577021i \(-0.981623\pi\)
0.900259 0.435356i \(-0.143377\pi\)
\(648\) −0.647508 + 2.75331i −0.0254365 + 0.108160i
\(649\) −34.3708 6.83678i −1.34917 0.268367i
\(650\) −9.21905 15.2143i −0.361601 0.596753i
\(651\) −2.46599 2.02378i −0.0966497 0.0793184i
\(652\) −17.4987 + 17.8394i −0.685301 + 0.698643i
\(653\) −40.3956 21.5919i −1.58080 0.844957i −0.999511 0.0312610i \(-0.990048\pi\)
−0.581291 0.813696i \(-0.697452\pi\)
\(654\) −5.57503 21.8102i −0.218001 0.852847i
\(655\) 26.1448 + 63.1191i 1.02156 + 2.46627i
\(656\) 7.21241 + 6.93953i 0.281597 + 0.270943i
\(657\) 2.15973 5.21405i 0.0842592 0.203420i
\(658\) 7.04854 + 1.01086i 0.274781 + 0.0394072i
\(659\) 10.1860 3.08989i 0.396790 0.120365i −0.0855823 0.996331i \(-0.527275\pi\)
0.482373 + 0.875966i \(0.339775\pi\)
\(660\) 4.54262 24.0465i 0.176821 0.936008i
\(661\) −3.81075 38.6912i −0.148221 1.50491i −0.725419 0.688308i \(-0.758354\pi\)
0.577198 0.816604i \(-0.304146\pi\)
\(662\) 22.2592 + 16.3429i 0.865130 + 0.635184i
\(663\) 14.3182 9.56711i 0.556072 0.371556i
\(664\) 26.2842 12.8998i 1.02002 0.500610i
\(665\) −59.8093 + 89.5110i −2.31931 + 3.47109i
\(666\) 5.53006 + 2.58298i 0.214285 + 0.100088i
\(667\) −11.4097 3.46108i −0.441783 0.134014i
\(668\) −3.83913 2.00472i −0.148540 0.0775648i
\(669\) 8.88396 + 10.8251i 0.343474 + 0.418524i
\(670\) 16.5634 + 34.5880i 0.639899 + 1.33625i
\(671\) −29.0143 + 29.0143i −1.12008 + 1.12008i
\(672\) 23.7704 9.15715i 0.916964 0.353245i
\(673\) 11.5641 + 11.5641i 0.445764 + 0.445764i 0.893943 0.448180i \(-0.147928\pi\)
−0.448180 + 0.893943i \(0.647928\pi\)
\(674\) 8.51792 24.1727i 0.328098 0.931097i
\(675\) 3.08038 2.52800i 0.118564 0.0973028i
\(676\) 3.89638 + 4.65550i 0.149861 + 0.179058i
\(677\) −6.47730 + 21.3528i −0.248943 + 0.820655i 0.740032 + 0.672572i \(0.234810\pi\)
−0.988975 + 0.148083i \(0.952690\pi\)
\(678\) −15.2342 + 5.53384i −0.585064 + 0.212526i
\(679\) −52.5448 35.1093i −2.01648 1.34737i
\(680\) 11.8854 + 44.6970i 0.455786 + 1.71405i
\(681\) 12.3081 + 18.4203i 0.471646 + 0.705868i
\(682\) −0.619573 4.04248i −0.0237247 0.154795i
\(683\) 3.62992 0.357516i 0.138895 0.0136800i −0.0283306 0.999599i \(-0.509019\pi\)
0.167226 + 0.985919i \(0.446519\pi\)
\(684\) 15.6140 3.26259i 0.597016 0.124748i
\(685\) 14.9302 + 49.2181i 0.570452 + 1.88053i
\(686\) 31.9958 23.9696i 1.22161 0.915164i
\(687\) 24.1309 + 9.99533i 0.920650 + 0.381346i
\(688\) 22.2382 7.21689i 0.847822 0.275141i
\(689\) 0.672224 0.278444i 0.0256097 0.0106079i
\(690\) −4.14057 + 6.98425i −0.157629 + 0.265886i
\(691\) 3.69934 6.92098i 0.140730 0.263286i −0.801676 0.597759i \(-0.796058\pi\)
0.942406 + 0.334472i \(0.108558\pi\)
\(692\) −3.26532 7.67312i −0.124129 0.291688i
\(693\) −11.6613 + 14.2093i −0.442976 + 0.539768i
\(694\) −44.7940 10.9911i −1.70036 0.417218i
\(695\) −10.7450 + 54.0188i −0.407581 + 2.04905i
\(696\) −12.8735 + 12.0114i −0.487969 + 0.455293i
\(697\) 13.3878 2.66299i 0.507098 0.100868i
\(698\) −33.3231 36.4121i −1.26130 1.37822i
\(699\) 14.8846 7.95597i 0.562986 0.300922i
\(700\) −34.4422 10.0864i −1.30179 0.381230i
\(701\) 1.45871 14.8105i 0.0550946 0.559385i −0.927526 0.373759i \(-0.878069\pi\)
0.982620 0.185626i \(-0.0594312\pi\)
\(702\) 2.98200 3.32217i 0.112548 0.125387i
\(703\) 34.4216i 1.29824i
\(704\) 30.5194 + 11.6194i 1.15024 + 0.437924i
\(705\) 3.35160i 0.126229i
\(706\) 32.5488 + 29.2160i 1.22499 + 1.09956i
\(707\) 1.26198 12.8131i 0.0474618 0.481888i
\(708\) 15.0638 8.23942i 0.566131 0.309656i
\(709\) −25.3768 + 13.5642i −0.953045 + 0.509413i −0.873183 0.487393i \(-0.837948\pi\)
−0.0798618 + 0.996806i \(0.525448\pi\)
\(710\) 10.9968 10.0639i 0.412702 0.377691i
\(711\) 4.94512 0.983646i 0.185457 0.0368896i
\(712\) 2.78210 6.10927i 0.104263 0.228955i
\(713\) −0.264717 + 1.33082i −0.00991374 + 0.0498397i
\(714\) 8.27874 33.7397i 0.309824 1.26268i
\(715\) −24.5032 + 29.8573i −0.916369 + 1.11660i
\(716\) −10.9195 + 27.0980i −0.408081 + 1.01270i
\(717\) −7.92667 + 14.8298i −0.296027 + 0.553827i
\(718\) −8.40104 4.98051i −0.313524 0.185871i
\(719\) −4.33793 + 1.79683i −0.161778 + 0.0670105i −0.462103 0.886826i \(-0.652905\pi\)
0.300325 + 0.953837i \(0.402905\pi\)
\(720\) 5.85482 + 10.4633i 0.218196 + 0.389942i
\(721\) 24.4025 + 10.1078i 0.908796 + 0.376436i
\(722\) −37.8256 50.4914i −1.40772 1.87910i
\(723\) 7.80824 + 25.7403i 0.290392 + 0.957293i
\(724\) −10.8462 + 16.5762i −0.403097 + 0.616051i
\(725\) 24.6865 2.43141i 0.916833 0.0903002i
\(726\) −7.91648 + 1.21332i −0.293808 + 0.0450307i
\(727\) −10.9921 16.4509i −0.407675 0.610129i 0.569646 0.821890i \(-0.307080\pi\)
−0.977322 + 0.211761i \(0.932080\pi\)
\(728\) −39.8513 5.32368i −1.47699 0.197309i
\(729\) 0.831470 + 0.555570i 0.0307952 + 0.0205767i
\(730\) −8.16820 22.4863i −0.302319 0.832255i
\(731\) 9.25591 30.5126i 0.342342 1.12855i
\(732\) 1.77756 20.0250i 0.0657005 0.740147i
\(733\) −26.0507 + 21.3793i −0.962205 + 0.789661i −0.977654 0.210219i \(-0.932582\pi\)
0.0154493 + 0.999881i \(0.495082\pi\)
\(734\) −5.91061 2.08277i −0.218165 0.0768764i
\(735\) 28.1427 + 28.1427i 1.03806 + 1.03806i
\(736\) −8.20115 7.08071i −0.302298 0.260998i
\(737\) 26.1126 26.1126i 0.961870 0.961870i
\(738\) 3.19156 1.52837i 0.117483 0.0562599i
\(739\) 8.08667 + 9.85364i 0.297473 + 0.362472i 0.900201 0.435475i \(-0.143420\pi\)
−0.602728 + 0.797947i \(0.705920\pi\)
\(740\) 24.6858 7.74899i 0.907468 0.284859i
\(741\) −24.0923 7.30831i −0.885052 0.268478i
\(742\) 0.621202 1.32997i 0.0228050 0.0488247i
\(743\) 6.15748 9.21531i 0.225896 0.338077i −0.701158 0.713006i \(-0.747333\pi\)
0.927053 + 0.374929i \(0.122333\pi\)
\(744\) 1.50397 + 1.32402i 0.0551384 + 0.0485410i
\(745\) 8.24727 5.51065i 0.302157 0.201895i
\(746\) −10.6985 + 14.5715i −0.391700 + 0.533501i
\(747\) −1.01465 10.3019i −0.0371239 0.376926i
\(748\) 36.7909 25.0993i 1.34521 0.917720i
\(749\) 46.7892 14.1933i 1.70964 0.518614i
\(750\) −0.610864 + 4.25946i −0.0223056 + 0.155534i
\(751\) 12.7776 30.8479i 0.466262 1.12566i −0.499520 0.866302i \(-0.666490\pi\)
0.965782 0.259354i \(-0.0835097\pi\)
\(752\) −4.40262 0.787821i −0.160547 0.0287289i
\(753\) 10.4719 + 25.2813i 0.381616 + 0.921302i
\(754\) 26.9239 6.88216i 0.980509 0.250633i
\(755\) −55.5582 29.6965i −2.02197 1.08077i
\(756\) −0.0868176 9.00574i −0.00315753 0.327535i
\(757\) 25.4367 + 20.8754i 0.924513 + 0.758728i 0.970723 0.240203i \(-0.0772142\pi\)
−0.0462095 + 0.998932i \(0.514714\pi\)
\(758\) 35.7055 21.6356i 1.29688 0.785842i
\(759\) 7.66837 + 1.52533i 0.278344 + 0.0553661i
\(760\) 39.4908 54.8885i 1.43248 1.99101i
\(761\) 1.44835 + 7.28133i 0.0525025 + 0.263948i 0.998117 0.0613420i \(-0.0195380\pi\)
−0.945614 + 0.325290i \(0.894538\pi\)
\(762\) 0.762588 17.2156i 0.0276257 0.623656i
\(763\) 33.7898 + 63.2162i 1.22327 + 2.28858i
\(764\) −0.678565 6.26941i −0.0245496 0.226819i
\(765\) 16.2732 + 1.60277i 0.588359 + 0.0579483i
\(766\) 1.59155 + 29.4951i 0.0575049 + 1.06570i
\(767\) −27.0998 −0.978518
\(768\) −15.1206 + 5.23135i −0.545618 + 0.188770i
\(769\) −11.8285 −0.426548 −0.213274 0.976992i \(-0.568413\pi\)
−0.213274 + 0.976992i \(0.568413\pi\)
\(770\) 4.19854 + 77.8088i 0.151305 + 2.80403i
\(771\) −20.5055 2.01961i −0.738486 0.0727346i
\(772\) 0.208266 + 1.92422i 0.00749568 + 0.0692541i
\(773\) 22.0042 + 41.1670i 0.791438 + 1.48068i 0.874973 + 0.484171i \(0.160879\pi\)
−0.0835357 + 0.996505i \(0.526621\pi\)