Properties

Label 384.2.v.a.229.13
Level $384$
Weight $2$
Character 384.229
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 229.13
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.323433 - 1.37673i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-1.79078 + 0.890562i) q^{4} +(-1.61958 - 1.97346i) q^{5} +(0.934230 + 1.06170i) q^{6} +(2.12471 - 1.41968i) q^{7} +(1.80526 + 2.17739i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-0.323433 - 1.37673i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(-1.79078 + 0.890562i) q^{4} +(-1.61958 - 1.97346i) q^{5} +(0.934230 + 1.06170i) q^{6} +(2.12471 - 1.41968i) q^{7} +(1.80526 + 2.17739i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-2.19310 + 2.86800i) q^{10} +(-4.64524 + 1.40912i) q^{11} +(1.15952 - 1.62957i) q^{12} +(-1.38668 - 1.13802i) q^{13} +(-2.64172 - 2.46598i) q^{14} +(2.35862 + 0.976973i) q^{15} +(2.41380 - 3.18961i) q^{16} +(-6.63252 + 2.74728i) q^{17} +(-1.32440 - 0.495946i) q^{18} +(0.496937 + 5.04549i) q^{19} +(4.65780 + 2.09170i) q^{20} +(-1.20459 + 2.25363i) q^{21} +(3.44240 + 5.93950i) q^{22} +(1.56171 - 0.310643i) q^{23} +(-2.61851 - 1.06929i) q^{24} +(-0.296063 + 1.48841i) q^{25} +(-1.11825 + 2.27716i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(-2.54057 + 4.43453i) q^{28} +(-2.71664 + 8.95557i) q^{29} +(0.582173 - 3.56317i) q^{30} +(2.30868 + 2.30868i) q^{31} +(-5.17193 - 2.29153i) q^{32} +(3.43248 - 3.43248i) q^{33} +(5.92745 + 8.24264i) q^{34} +(-6.24281 - 1.89374i) q^{35} +(-0.254430 + 1.98375i) q^{36} +(-6.80052 - 0.669793i) q^{37} +(6.78556 - 2.31603i) q^{38} +(1.75940 + 0.349967i) q^{39} +(1.37323 - 7.08906i) q^{40} +(-1.43822 - 7.23044i) q^{41} +(3.49225 + 0.929498i) q^{42} +(-4.98972 - 2.66706i) q^{43} +(7.06370 - 6.66030i) q^{44} +(-2.54066 + 0.250233i) q^{45} +(-0.932781 - 2.04958i) q^{46} +(-1.74376 - 4.20980i) q^{47} +(-0.625210 + 3.95084i) q^{48} +(-0.179909 + 0.434339i) q^{49} +(2.14490 - 0.0738019i) q^{50} +(4.55430 - 5.54944i) q^{51} +(3.49672 + 0.803019i) q^{52} +(-0.385183 - 1.26978i) q^{53} +(1.40180 - 0.186933i) q^{54} +(10.3042 + 6.88502i) q^{55} +(6.92686 + 2.06341i) q^{56} +(-2.81669 - 4.21547i) q^{57} +(13.2081 + 0.843558i) q^{58} +(8.00700 - 6.57117i) q^{59} +(-5.09383 + 0.350954i) q^{60} +(-3.44989 - 6.45429i) q^{61} +(2.43173 - 3.92514i) q^{62} -2.55536i q^{63} +(-1.48204 + 7.86152i) q^{64} +4.57967i q^{65} +(-5.83579 - 3.61543i) q^{66} +(-0.149745 - 0.280153i) q^{67} +(9.43078 - 10.8265i) q^{68} +(-1.23087 + 1.01015i) q^{69} +(-0.588033 + 9.20717i) q^{70} +(2.04802 + 3.06508i) q^{71} +(2.81338 - 0.291330i) q^{72} +(-10.5636 - 7.05840i) q^{73} +(1.27739 + 9.57913i) q^{74} +(-0.440527 - 1.45222i) q^{75} +(-5.38323 - 8.59282i) q^{76} +(-7.86927 + 9.58873i) q^{77} +(-0.0872390 - 2.53542i) q^{78} +(0.309314 - 0.746750i) q^{79} +(-10.2039 + 0.402277i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-9.48920 + 4.31861i) q^{82} +(10.1170 - 0.996433i) q^{83} +(0.150160 - 5.10852i) q^{84} +(16.1635 + 8.63958i) q^{85} +(-2.05799 + 7.73212i) q^{86} +(-1.82576 - 9.17873i) q^{87} +(-11.4541 - 7.57066i) q^{88} +(-16.2530 - 3.23292i) q^{89} +(1.16624 + 3.41687i) q^{90} +(-4.56192 - 0.449310i) q^{91} +(-2.52003 + 1.94709i) q^{92} +(-3.12438 - 0.947769i) q^{93} +(-5.23178 + 3.76228i) q^{94} +(9.15224 - 9.15224i) q^{95} +(5.64146 - 0.417086i) q^{96} +(9.82002 + 9.82002i) q^{97} +(0.656157 + 0.107207i) q^{98} +(-1.40912 + 4.64524i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.323433 1.37673i −0.228702 0.973496i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) −1.79078 + 0.890562i −0.895391 + 0.445281i
\(5\) −1.61958 1.97346i −0.724296 0.882558i 0.272531 0.962147i \(-0.412139\pi\)
−0.996828 + 0.0795891i \(0.974639\pi\)
\(6\) 0.934230 + 1.06170i 0.381398 + 0.433439i
\(7\) 2.12471 1.41968i 0.803063 0.536590i −0.0849621 0.996384i \(-0.527077\pi\)
0.888025 + 0.459794i \(0.152077\pi\)
\(8\) 1.80526 + 2.17739i 0.638257 + 0.769823i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −2.19310 + 2.86800i −0.693519 + 0.906943i
\(11\) −4.64524 + 1.40912i −1.40059 + 0.424865i −0.898129 0.439733i \(-0.855073\pi\)
−0.502464 + 0.864598i \(0.667573\pi\)
\(12\) 1.15952 1.62957i 0.334725 0.470418i
\(13\) −1.38668 1.13802i −0.384596 0.315630i 0.422152 0.906525i \(-0.361275\pi\)
−0.806748 + 0.590895i \(0.798775\pi\)
\(14\) −2.64172 2.46598i −0.706030 0.659060i
\(15\) 2.35862 + 0.976973i 0.608993 + 0.252253i
\(16\) 2.41380 3.18961i 0.603449 0.797401i
\(17\) −6.63252 + 2.74728i −1.60862 + 0.666313i −0.992602 0.121416i \(-0.961257\pi\)
−0.616021 + 0.787729i \(0.711257\pi\)
\(18\) −1.32440 0.495946i −0.312164 0.116896i
\(19\) 0.496937 + 5.04549i 0.114005 + 1.15751i 0.866591 + 0.499020i \(0.166307\pi\)
−0.752585 + 0.658495i \(0.771193\pi\)
\(20\) 4.65780 + 2.09170i 1.04151 + 0.467719i
\(21\) −1.20459 + 2.25363i −0.262863 + 0.491782i
\(22\) 3.44240 + 5.93950i 0.733923 + 1.26630i
\(23\) 1.56171 0.310643i 0.325639 0.0647735i −0.0295640 0.999563i \(-0.509412\pi\)
0.355203 + 0.934789i \(0.384412\pi\)
\(24\) −2.61851 1.06929i −0.534502 0.218268i
\(25\) −0.296063 + 1.48841i −0.0592126 + 0.297682i
\(26\) −1.11825 + 2.27716i −0.219307 + 0.446588i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) −2.54057 + 4.43453i −0.480122 + 0.838046i
\(29\) −2.71664 + 8.95557i −0.504468 + 1.66301i 0.221407 + 0.975182i \(0.428935\pi\)
−0.725875 + 0.687827i \(0.758565\pi\)
\(30\) 0.582173 3.56317i 0.106290 0.650544i
\(31\) 2.30868 + 2.30868i 0.414651 + 0.414651i 0.883355 0.468704i \(-0.155279\pi\)
−0.468704 + 0.883355i \(0.655279\pi\)
\(32\) −5.17193 2.29153i −0.914277 0.405089i
\(33\) 3.43248 3.43248i 0.597519 0.597519i
\(34\) 5.92745 + 8.24264i 1.01655 + 1.41360i
\(35\) −6.24281 1.89374i −1.05523 0.320100i
\(36\) −0.254430 + 1.98375i −0.0424049 + 0.330625i
\(37\) −6.80052 0.669793i −1.11800 0.110113i −0.477906 0.878411i \(-0.658604\pi\)
−0.640093 + 0.768298i \(0.721104\pi\)
\(38\) 6.78556 2.31603i 1.10076 0.375710i
\(39\) 1.75940 + 0.349967i 0.281730 + 0.0560396i
\(40\) 1.37323 7.08906i 0.217126 1.12088i
\(41\) −1.43822 7.23044i −0.224613 1.12920i −0.914281 0.405079i \(-0.867244\pi\)
0.689669 0.724125i \(-0.257756\pi\)
\(42\) 3.49225 + 0.929498i 0.538865 + 0.143425i
\(43\) −4.98972 2.66706i −0.760925 0.406723i 0.0448127 0.998995i \(-0.485731\pi\)
−0.805738 + 0.592273i \(0.798231\pi\)
\(44\) 7.06370 6.66030i 1.06489 1.00408i
\(45\) −2.54066 + 0.250233i −0.378739 + 0.0373026i
\(46\) −0.932781 2.04958i −0.137531 0.302194i
\(47\) −1.74376 4.20980i −0.254353 0.614063i 0.744193 0.667965i \(-0.232834\pi\)
−0.998546 + 0.0539015i \(0.982834\pi\)
\(48\) −0.625210 + 3.95084i −0.0902413 + 0.570254i
\(49\) −0.179909 + 0.434339i −0.0257013 + 0.0620484i
\(50\) 2.14490 0.0738019i 0.303334 0.0104372i
\(51\) 4.55430 5.54944i 0.637730 0.777076i
\(52\) 3.49672 + 0.803019i 0.484908 + 0.111359i
\(53\) −0.385183 1.26978i −0.0529089 0.174417i 0.926504 0.376285i \(-0.122799\pi\)
−0.979413 + 0.201868i \(0.935299\pi\)
\(54\) 1.40180 0.186933i 0.190761 0.0254383i
\(55\) 10.3042 + 6.88502i 1.38941 + 0.928376i
\(56\) 6.92686 + 2.06341i 0.925640 + 0.275734i
\(57\) −2.81669 4.21547i −0.373079 0.558353i
\(58\) 13.2081 + 0.843558i 1.73431 + 0.110765i
\(59\) 8.00700 6.57117i 1.04242 0.855494i 0.0527161 0.998610i \(-0.483212\pi\)
0.989706 + 0.143116i \(0.0457122\pi\)
\(60\) −5.09383 + 0.350954i −0.657611 + 0.0453079i
\(61\) −3.44989 6.45429i −0.441713 0.826387i 0.558281 0.829652i \(-0.311461\pi\)
−0.999995 + 0.00326435i \(0.998961\pi\)
\(62\) 2.43173 3.92514i 0.308830 0.498493i
\(63\) 2.55536i 0.321945i
\(64\) −1.48204 + 7.86152i −0.185255 + 0.982690i
\(65\) 4.57967i 0.568038i
\(66\) −5.83579 3.61543i −0.718336 0.445029i
\(67\) −0.149745 0.280153i −0.0182942 0.0342261i 0.872608 0.488421i \(-0.162427\pi\)
−0.890902 + 0.454195i \(0.849927\pi\)
\(68\) 9.43078 10.8265i 1.14365 1.31290i
\(69\) −1.23087 + 1.01015i −0.148179 + 0.121607i
\(70\) −0.588033 + 9.20717i −0.0702834 + 1.10047i
\(71\) 2.04802 + 3.06508i 0.243055 + 0.363757i 0.932861 0.360237i \(-0.117304\pi\)
−0.689806 + 0.723994i \(0.742304\pi\)
\(72\) 2.81338 0.291330i 0.331560 0.0343336i
\(73\) −10.5636 7.05840i −1.23638 0.826123i −0.246655 0.969103i \(-0.579332\pi\)
−0.989726 + 0.142980i \(0.954332\pi\)
\(74\) 1.27739 + 9.57913i 0.148494 + 1.11355i
\(75\) −0.440527 1.45222i −0.0508677 0.167688i
\(76\) −5.38323 8.59282i −0.617499 0.985664i
\(77\) −7.86927 + 9.58873i −0.896786 + 1.09274i
\(78\) −0.0872390 2.53542i −0.00987787 0.287079i
\(79\) 0.309314 0.746750i 0.0348005 0.0840160i −0.905524 0.424296i \(-0.860522\pi\)
0.940324 + 0.340280i \(0.110522\pi\)
\(80\) −10.2039 + 0.402277i −1.14083 + 0.0449759i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −9.48920 + 4.31861i −1.04791 + 0.476911i
\(83\) 10.1170 0.996433i 1.11048 0.109373i 0.473897 0.880580i \(-0.342847\pi\)
0.636584 + 0.771208i \(0.280347\pi\)
\(84\) 0.150160 5.10852i 0.0163838 0.557385i
\(85\) 16.1635 + 8.63958i 1.75318 + 0.937094i
\(86\) −2.05799 + 7.73212i −0.221918 + 0.833776i
\(87\) −1.82576 9.17873i −0.195742 0.984063i
\(88\) −11.4541 7.57066i −1.22101 0.807036i
\(89\) −16.2530 3.23292i −1.72281 0.342688i −0.768124 0.640301i \(-0.778810\pi\)
−0.954687 + 0.297612i \(0.903810\pi\)
\(90\) 1.16624 + 3.41687i 0.122932 + 0.360170i
\(91\) −4.56192 0.449310i −0.478219 0.0471005i
\(92\) −2.52003 + 1.94709i −0.262731 + 0.202998i
\(93\) −3.12438 0.947769i −0.323983 0.0982791i
\(94\) −5.23178 + 3.76228i −0.539617 + 0.388049i
\(95\) 9.15224 9.15224i 0.939000 0.939000i
\(96\) 5.64146 0.417086i 0.575779 0.0425686i
\(97\) 9.82002 + 9.82002i 0.997072 + 0.997072i 0.999996 0.00292412i \(-0.000930779\pi\)
−0.00292412 + 0.999996i \(0.500931\pi\)
\(98\) 0.656157 + 0.107207i 0.0662819 + 0.0108295i
\(99\) −1.40912 + 4.64524i −0.141622 + 0.466864i
\(100\) −0.795337 2.92908i −0.0795337 0.292908i
\(101\) 1.56325 15.8719i 0.155549 1.57931i −0.527895 0.849310i \(-0.677019\pi\)
0.683444 0.730003i \(-0.260481\pi\)
\(102\) −9.11310 4.47518i −0.902331 0.443109i
\(103\) −1.07944 + 5.42673i −0.106361 + 0.534712i 0.890462 + 0.455058i \(0.150382\pi\)
−0.996823 + 0.0796539i \(0.974618\pi\)
\(104\) −0.0254143 5.07377i −0.00249207 0.497524i
\(105\) 6.39837 1.27271i 0.624417 0.124204i
\(106\) −1.62356 + 0.940981i −0.157694 + 0.0913962i
\(107\) 6.94892 13.0005i 0.671778 1.25681i −0.282895 0.959151i \(-0.591295\pi\)
0.954673 0.297657i \(-0.0962052\pi\)
\(108\) −0.710747 1.86945i −0.0683916 0.179888i
\(109\) 0.0840723 + 0.853601i 0.00805267 + 0.0817601i 0.998371 0.0570544i \(-0.0181708\pi\)
−0.990318 + 0.138814i \(0.955671\pi\)
\(110\) 6.14612 16.4129i 0.586009 1.56491i
\(111\) 6.31326 2.61504i 0.599229 0.248209i
\(112\) 0.600382 10.2038i 0.0567308 0.964168i
\(113\) 7.91530 + 3.27863i 0.744609 + 0.308427i 0.722540 0.691329i \(-0.242975\pi\)
0.0220692 + 0.999756i \(0.492975\pi\)
\(114\) −4.89256 + 5.24125i −0.458230 + 0.490888i
\(115\) −3.14235 2.57886i −0.293025 0.240480i
\(116\) −3.11058 18.4568i −0.288810 1.71367i
\(117\) −1.71663 + 0.520733i −0.158702 + 0.0481418i
\(118\) −11.6365 8.89815i −1.07122 0.819141i
\(119\) −10.1919 + 15.2532i −0.934289 + 1.39826i
\(120\) 2.13068 + 6.89933i 0.194504 + 0.629820i
\(121\) 10.4465 6.98012i 0.949680 0.634556i
\(122\) −7.77002 + 6.83711i −0.703464 + 0.619003i
\(123\) 4.67680 + 5.69870i 0.421693 + 0.513835i
\(124\) −6.19036 2.07832i −0.555911 0.186638i
\(125\) −7.84071 + 4.19095i −0.701294 + 0.374850i
\(126\) −3.51805 + 0.826489i −0.313413 + 0.0736295i
\(127\) −6.08070 −0.539575 −0.269788 0.962920i \(-0.586953\pi\)
−0.269788 + 0.962920i \(0.586953\pi\)
\(128\) 11.3026 0.502304i 0.999014 0.0443978i
\(129\) 5.65778 0.498140
\(130\) 6.30498 1.48122i 0.552983 0.129911i
\(131\) −12.4289 + 6.64340i −1.08592 + 0.580436i −0.914428 0.404749i \(-0.867359\pi\)
−0.171492 + 0.985186i \(0.554859\pi\)
\(132\) −3.08999 + 9.20367i −0.268949 + 0.801076i
\(133\) 8.21884 + 10.0147i 0.712664 + 0.868384i
\(134\) −0.337263 + 0.296769i −0.0291351 + 0.0256370i
\(135\) 2.12270 1.41834i 0.182693 0.122072i
\(136\) −17.9554 9.48201i −1.53966 0.813076i
\(137\) 1.29120 1.93241i 0.110314 0.165097i −0.772205 0.635374i \(-0.780846\pi\)
0.882519 + 0.470277i \(0.155846\pi\)
\(138\) 1.78880 + 1.36786i 0.152273 + 0.116440i
\(139\) −13.8601 + 4.20442i −1.17560 + 0.356614i −0.816867 0.576826i \(-0.804291\pi\)
−0.358733 + 0.933440i \(0.616791\pi\)
\(140\) 12.8660 2.16834i 1.08738 0.183258i
\(141\) 3.52235 + 2.89071i 0.296635 + 0.243442i
\(142\) 3.55739 3.81092i 0.298529 0.319805i
\(143\) 8.04507 + 3.33238i 0.672763 + 0.278668i
\(144\) −1.31103 3.77905i −0.109252 0.314921i
\(145\) 22.0733 9.14305i 1.83309 0.759289i
\(146\) −6.30089 + 16.8262i −0.521465 + 1.39255i
\(147\) −0.0460803 0.467861i −0.00380064 0.0385886i
\(148\) 12.7747 4.85684i 1.05008 0.399229i
\(149\) −9.70513 + 18.1570i −0.795075 + 1.48748i 0.0764190 + 0.997076i \(0.475651\pi\)
−0.871494 + 0.490406i \(0.836849\pi\)
\(150\) −1.85684 + 1.07618i −0.151610 + 0.0878701i
\(151\) −6.46513 + 1.28599i −0.526125 + 0.104653i −0.451004 0.892522i \(-0.648934\pi\)
−0.0751205 + 0.997174i \(0.523934\pi\)
\(152\) −10.0889 + 10.1905i −0.818317 + 0.826556i
\(153\) −1.40055 + 7.04105i −0.113228 + 0.569235i
\(154\) 15.7463 + 7.73256i 1.26887 + 0.623107i
\(155\) 0.817002 8.29516i 0.0656232 0.666284i
\(156\) −3.46237 + 0.940143i −0.277212 + 0.0752717i
\(157\) 3.76695 12.4180i 0.300635 0.991061i −0.668330 0.743865i \(-0.732991\pi\)
0.968965 0.247197i \(-0.0795093\pi\)
\(158\) −1.12812 0.184319i −0.0897482 0.0146636i
\(159\) 0.938269 + 0.938269i 0.0744096 + 0.0744096i
\(160\) 3.85410 + 13.9179i 0.304694 + 1.10031i
\(161\) 2.87716 2.87716i 0.226752 0.226752i
\(162\) −1.14816 + 0.825666i −0.0902081 + 0.0648704i
\(163\) −2.05381 0.623017i −0.160867 0.0487985i 0.208824 0.977953i \(-0.433036\pi\)
−0.369691 + 0.929155i \(0.620536\pi\)
\(164\) 9.01470 + 11.6673i 0.703930 + 0.911063i
\(165\) −12.3330 1.21470i −0.960125 0.0945641i
\(166\) −4.64398 13.6061i −0.360443 1.05604i
\(167\) 2.62914 + 0.522968i 0.203449 + 0.0404685i 0.295763 0.955261i \(-0.404426\pi\)
−0.0923138 + 0.995730i \(0.529426\pi\)
\(168\) −7.08163 + 1.44553i −0.546359 + 0.111525i
\(169\) −1.90838 9.59407i −0.146798 0.738005i
\(170\) 6.66657 25.0472i 0.511302 1.92103i
\(171\) 4.47125 + 2.38994i 0.341925 + 0.182763i
\(172\) 11.3107 + 0.332467i 0.862431 + 0.0253504i
\(173\) 8.46790 0.834015i 0.643802 0.0634090i 0.229153 0.973390i \(-0.426404\pi\)
0.414649 + 0.909981i \(0.363904\pi\)
\(174\) −12.0461 + 5.48229i −0.913215 + 0.415612i
\(175\) 1.48402 + 3.58275i 0.112182 + 0.270830i
\(176\) −6.71814 + 18.2178i −0.506399 + 1.37322i
\(177\) −3.96391 + 9.56973i −0.297946 + 0.719305i
\(178\) 0.805894 + 23.4216i 0.0604043 + 1.75552i
\(179\) −7.24446 + 8.82740i −0.541476 + 0.659791i −0.969819 0.243825i \(-0.921598\pi\)
0.428343 + 0.903616i \(0.359098\pi\)
\(180\) 4.32692 2.71073i 0.322509 0.202046i
\(181\) 0.234629 + 0.773469i 0.0174398 + 0.0574915i 0.965228 0.261408i \(-0.0841868\pi\)
−0.947789 + 0.318899i \(0.896687\pi\)
\(182\) 0.856898 + 6.42586i 0.0635175 + 0.476316i
\(183\) 6.08506 + 4.06591i 0.449821 + 0.300561i
\(184\) 3.49569 + 2.83965i 0.257705 + 0.209342i
\(185\) 9.69216 + 14.5053i 0.712581 + 1.06645i
\(186\) −0.294296 + 4.60797i −0.0215789 + 0.337873i
\(187\) 26.9384 22.1078i 1.96993 1.61668i
\(188\) 6.87178 + 5.98592i 0.501176 + 0.436568i
\(189\) 1.20459 + 2.25363i 0.0876210 + 0.163927i
\(190\) −15.5603 9.64004i −1.12886 0.699362i
\(191\) 23.1163i 1.67264i 0.548242 + 0.836320i \(0.315297\pi\)
−0.548242 + 0.836320i \(0.684703\pi\)
\(192\) −2.39885 7.63187i −0.173122 0.550783i
\(193\) 3.10908i 0.223797i −0.993720 0.111898i \(-0.964307\pi\)
0.993720 0.111898i \(-0.0356931\pi\)
\(194\) 10.3434 16.6957i 0.742613 1.19868i
\(195\) −2.15884 4.03891i −0.154598 0.289232i
\(196\) −0.0646280 0.938026i −0.00461628 0.0670019i
\(197\) 8.41663 6.90735i 0.599660 0.492128i −0.284898 0.958558i \(-0.591960\pi\)
0.884558 + 0.466429i \(0.154460\pi\)
\(198\) 6.85101 + 0.437552i 0.486880 + 0.0310955i
\(199\) 10.2823 + 15.3885i 0.728893 + 1.09087i 0.992017 + 0.126103i \(0.0402470\pi\)
−0.263124 + 0.964762i \(0.584753\pi\)
\(200\) −3.77532 + 2.04233i −0.266955 + 0.144414i
\(201\) 0.264126 + 0.176484i 0.0186300 + 0.0124482i
\(202\) −22.3570 + 2.98133i −1.57303 + 0.209766i
\(203\) 6.94201 + 22.8847i 0.487233 + 1.60619i
\(204\) −3.21365 + 13.9937i −0.225000 + 0.979756i
\(205\) −11.9397 + 14.5485i −0.833902 + 1.01611i
\(206\) 7.82029 0.269081i 0.544865 0.0187478i
\(207\) 0.609348 1.47110i 0.0423526 0.102248i
\(208\) −6.97700 + 1.67602i −0.483768 + 0.116211i
\(209\) −9.41809 22.7373i −0.651463 1.57277i
\(210\) −3.82163 8.39720i −0.263718 0.579462i
\(211\) −19.6977 + 1.94005i −1.35605 + 0.133559i −0.749771 0.661697i \(-0.769836\pi\)
−0.606274 + 0.795256i \(0.707336\pi\)
\(212\) 1.82059 + 1.93086i 0.125039 + 0.132612i
\(213\) −3.25106 1.73773i −0.222759 0.119067i
\(214\) −20.1457 5.36200i −1.37714 0.366539i
\(215\) 2.81789 + 14.1665i 0.192179 + 0.966148i
\(216\) −2.34385 + 1.58315i −0.159479 + 0.107720i
\(217\) 8.18285 + 1.62767i 0.555488 + 0.110493i
\(218\) 1.14799 0.391828i 0.0777515 0.0265379i
\(219\) 12.6436 + 1.24529i 0.854376 + 0.0841487i
\(220\) −24.5840 3.15307i −1.65746 0.212580i
\(221\) 12.3237 + 3.73834i 0.828979 + 0.251468i
\(222\) −5.64213 7.84588i −0.378675 0.526581i
\(223\) 16.5544 16.5544i 1.10856 1.10856i 0.115223 0.993340i \(-0.463242\pi\)
0.993340 0.115223i \(-0.0367582\pi\)
\(224\) −14.2421 + 2.47368i −0.951589 + 0.165280i
\(225\) 1.07308 + 1.07308i 0.0715389 + 0.0715389i
\(226\) 1.95372 11.9577i 0.129959 0.795412i
\(227\) 2.98759 9.84877i 0.198294 0.653686i −0.800247 0.599671i \(-0.795298\pi\)
0.998540 0.0540151i \(-0.0172019\pi\)
\(228\) 8.79821 + 5.04055i 0.582676 + 0.333819i
\(229\) 1.51848 15.4174i 0.100344 1.01881i −0.804755 0.593607i \(-0.797703\pi\)
0.905099 0.425201i \(-0.139797\pi\)
\(230\) −2.53405 + 5.16026i −0.167091 + 0.340257i
\(231\) 2.41998 12.1661i 0.159223 0.800468i
\(232\) −24.4040 + 10.2520i −1.60220 + 0.673076i
\(233\) −15.5305 + 3.08921i −1.01744 + 0.202381i −0.675514 0.737347i \(-0.736078\pi\)
−0.341924 + 0.939728i \(0.611078\pi\)
\(234\) 1.27213 + 2.19491i 0.0831614 + 0.143486i
\(235\) −5.48373 + 10.2593i −0.357719 + 0.669245i
\(236\) −8.48674 + 18.8983i −0.552440 + 1.23017i
\(237\) 0.0792250 + 0.804384i 0.00514621 + 0.0522504i
\(238\) 24.2960 + 9.09809i 1.57488 + 0.589742i
\(239\) 12.2051 5.05553i 0.789484 0.327015i 0.0487479 0.998811i \(-0.484477\pi\)
0.740736 + 0.671796i \(0.234477\pi\)
\(240\) 8.80939 5.16485i 0.568644 0.333390i
\(241\) −6.99073 2.89566i −0.450313 0.186526i 0.145989 0.989286i \(-0.453364\pi\)
−0.596301 + 0.802761i \(0.703364\pi\)
\(242\) −12.9885 12.1244i −0.834932 0.779386i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) 11.9259 + 8.48588i 0.763481 + 0.543253i
\(245\) 1.14853 0.348402i 0.0733767 0.0222586i
\(246\) 6.33295 8.28186i 0.403774 0.528032i
\(247\) 5.05277 7.56201i 0.321500 0.481159i
\(248\) −0.859116 + 9.19466i −0.0545539 + 0.583862i
\(249\) −8.45265 + 5.64788i −0.535665 + 0.357920i
\(250\) 8.30575 + 9.43906i 0.525302 + 0.596979i
\(251\) −16.4451 20.0384i −1.03800 1.26481i −0.963534 0.267587i \(-0.913774\pi\)
−0.0744695 0.997223i \(-0.523726\pi\)
\(252\) 2.27571 + 4.57610i 0.143356 + 0.288267i
\(253\) −6.81678 + 3.64364i −0.428567 + 0.229074i
\(254\) 1.96670 + 8.37150i 0.123402 + 0.525275i
\(255\) −18.3276 −1.14772
\(256\) −4.34716 15.3981i −0.271698 0.962383i
\(257\) −6.92419 −0.431919 −0.215960 0.976402i \(-0.569288\pi\)
−0.215960 + 0.976402i \(0.569288\pi\)
\(258\) −1.82992 7.78925i −0.113926 0.484938i
\(259\) −15.4000 + 8.23147i −0.956910 + 0.511479i
\(260\) −4.07848 8.20119i −0.252937 0.508616i
\(261\) 5.93700 + 7.23426i 0.367491 + 0.447789i
\(262\) 13.1661 + 14.9626i 0.813404 + 0.924392i
\(263\) −17.7908 + 11.8874i −1.09703 + 0.733011i −0.966045 0.258373i \(-0.916814\pi\)
−0.130984 + 0.991385i \(0.541814\pi\)
\(264\) 13.6704 + 1.27731i 0.841354 + 0.0786131i
\(265\) −1.88202 + 2.81664i −0.115612 + 0.173025i
\(266\) 11.1293 14.5542i 0.682381 0.892377i
\(267\) 15.8578 4.81042i 0.970483 0.294393i
\(268\) 0.517654 + 0.368336i 0.0316208 + 0.0224997i
\(269\) 1.15271 + 0.946008i 0.0702822 + 0.0576791i 0.668879 0.743372i \(-0.266775\pi\)
−0.598596 + 0.801051i \(0.704275\pi\)
\(270\) −2.63923 2.46365i −0.160619 0.149933i
\(271\) −15.9218 6.59502i −0.967179 0.400619i −0.157518 0.987516i \(-0.550349\pi\)
−0.809661 + 0.586897i \(0.800349\pi\)
\(272\) −7.24683 + 27.7865i −0.439403 + 1.68480i
\(273\) 4.23506 1.75422i 0.256317 0.106170i
\(274\) −3.07803 1.15263i −0.185951 0.0696327i
\(275\) −0.722061 7.33121i −0.0435419 0.442088i
\(276\) 1.30462 2.90512i 0.0785287 0.174867i
\(277\) 2.22487 4.16243i 0.133679 0.250096i −0.806171 0.591682i \(-0.798464\pi\)
0.939851 + 0.341586i \(0.110964\pi\)
\(278\) 10.2712 + 17.7218i 0.616025 + 1.06288i
\(279\) 3.20223 0.636963i 0.191712 0.0381340i
\(280\) −7.14652 17.0117i −0.427086 1.01664i
\(281\) 3.12616 15.7163i 0.186491 0.937555i −0.768257 0.640141i \(-0.778876\pi\)
0.954749 0.297414i \(-0.0961241\pi\)
\(282\) 2.84049 5.78428i 0.169149 0.344449i
\(283\) −0.826001 + 8.38653i −0.0491006 + 0.498527i 0.938912 + 0.344156i \(0.111835\pi\)
−0.988013 + 0.154371i \(0.950665\pi\)
\(284\) −6.39719 3.66499i −0.379604 0.217477i
\(285\) −3.75722 + 12.3859i −0.222558 + 0.733677i
\(286\) 1.98575 12.1537i 0.117420 0.718664i
\(287\) −13.3207 13.3207i −0.786298 0.786298i
\(288\) −4.77871 + 3.02720i −0.281588 + 0.178380i
\(289\) 24.4220 24.4220i 1.43659 1.43659i
\(290\) −19.7268 27.4318i −1.15840 1.61085i
\(291\) −13.2896 4.03136i −0.779050 0.236322i
\(292\) 25.2031 + 3.23247i 1.47490 + 0.189166i
\(293\) 31.9465 + 3.14646i 1.86634 + 0.183818i 0.967228 0.253909i \(-0.0817164\pi\)
0.899108 + 0.437727i \(0.144216\pi\)
\(294\) −0.629216 + 0.214762i −0.0366966 + 0.0125252i
\(295\) −25.9359 5.15897i −1.51005 0.300367i
\(296\) −10.8183 16.0165i −0.628803 0.930942i
\(297\) −0.947020 4.76099i −0.0549517 0.276261i
\(298\) 28.1363 + 7.48878i 1.62989 + 0.433813i
\(299\) −2.51911 1.34649i −0.145684 0.0778696i
\(300\) 2.08218 + 2.20830i 0.120215 + 0.127496i
\(301\) −14.3881 + 1.41710i −0.829314 + 0.0816803i
\(302\) 3.86151 + 8.48482i 0.222205 + 0.488246i
\(303\) 6.10330 + 14.7347i 0.350626 + 0.846485i
\(304\) 17.2926 + 10.5938i 0.991800 + 0.607594i
\(305\) −7.14992 + 17.2614i −0.409403 + 0.988387i
\(306\) 10.1466 0.349126i 0.580044 0.0199582i
\(307\) −2.94469 + 3.58811i −0.168062 + 0.204784i −0.850230 0.526411i \(-0.823537\pi\)
0.682168 + 0.731196i \(0.261037\pi\)
\(308\) 5.55278 24.1794i 0.316399 1.37775i
\(309\) −1.60616 5.29480i −0.0913712 0.301211i
\(310\) −11.6845 + 1.55814i −0.663633 + 0.0884964i
\(311\) 12.3560 + 8.25601i 0.700644 + 0.468155i 0.854173 0.519989i \(-0.174064\pi\)
−0.153529 + 0.988144i \(0.549064\pi\)
\(312\) 2.41417 + 4.46269i 0.136676 + 0.252650i
\(313\) 1.95934 + 2.93237i 0.110749 + 0.165747i 0.882704 0.469930i \(-0.155721\pi\)
−0.771955 + 0.635677i \(0.780721\pi\)
\(314\) −18.3146 1.16969i −1.03355 0.0660096i
\(315\) −5.04290 + 4.13860i −0.284135 + 0.233184i
\(316\) 0.111114 + 1.61273i 0.00625063 + 0.0907231i
\(317\) 9.09571 + 17.0169i 0.510866 + 0.955763i 0.996658 + 0.0816883i \(0.0260312\pi\)
−0.485792 + 0.874074i \(0.661469\pi\)
\(318\) 0.988278 1.59521i 0.0554199 0.0894551i
\(319\) 45.4289i 2.54353i
\(320\) 17.9147 9.80758i 1.00146 0.548261i
\(321\) 14.7411i 0.822770i
\(322\) −4.89164 3.03050i −0.272600 0.168883i
\(323\) −17.1573 32.0991i −0.954659 1.78604i
\(324\) 1.50807 + 1.31366i 0.0837819 + 0.0729813i
\(325\) 2.10438 1.72702i 0.116730 0.0957980i
\(326\) −0.193456 + 3.02905i −0.0107145 + 0.167764i
\(327\) −0.476530 0.713177i −0.0263522 0.0394388i
\(328\) 13.1471 16.1844i 0.725927 0.893635i
\(329\) −9.68156 6.46901i −0.533762 0.356648i
\(330\) 2.31660 + 17.3722i 0.127525 + 0.956306i
\(331\) 8.73402 + 28.7922i 0.480065 + 1.58256i 0.778186 + 0.628034i \(0.216140\pi\)
−0.298121 + 0.954528i \(0.596360\pi\)
\(332\) −17.2299 + 10.7942i −0.945612 + 0.592407i
\(333\) −4.33508 + 5.28231i −0.237561 + 0.289469i
\(334\) −0.130364 3.78876i −0.00713322 0.207312i
\(335\) −0.310347 + 0.749245i −0.0169561 + 0.0409356i
\(336\) 4.28055 + 9.28197i 0.233523 + 0.506373i
\(337\) −1.23976 2.99304i −0.0675340 0.163042i 0.886509 0.462712i \(-0.153123\pi\)
−0.954043 + 0.299670i \(0.903123\pi\)
\(338\) −12.5912 + 5.73037i −0.684872 + 0.311691i
\(339\) −8.52621 + 0.839758i −0.463080 + 0.0456094i
\(340\) −36.6394 1.07698i −1.98705 0.0584076i
\(341\) −13.9776 7.47117i −0.756928 0.404586i
\(342\) 1.84415 6.92870i 0.0997201 0.374661i
\(343\) 3.72405 + 18.7221i 0.201080 + 1.01090i
\(344\) −3.20053 15.6793i −0.172561 0.845371i
\(345\) 3.98697 + 0.793057i 0.214651 + 0.0426968i
\(346\) −3.88702 11.3883i −0.208967 0.612238i
\(347\) −1.82845 0.180087i −0.0981565 0.00966757i 0.0488196 0.998808i \(-0.484454\pi\)
−0.146976 + 0.989140i \(0.546954\pi\)
\(348\) 11.4438 + 14.8111i 0.613451 + 0.793961i
\(349\) 16.7930 + 5.09409i 0.898908 + 0.272681i 0.705728 0.708483i \(-0.250620\pi\)
0.193179 + 0.981163i \(0.438120\pi\)
\(350\) 4.45250 3.20188i 0.237996 0.171148i
\(351\) 1.26846 1.26846i 0.0677053 0.0677053i
\(352\) 27.2539 + 3.35683i 1.45264 + 0.178920i
\(353\) −9.52682 9.52682i −0.507061 0.507061i 0.406562 0.913623i \(-0.366728\pi\)
−0.913623 + 0.406562i \(0.866728\pi\)
\(354\) 14.4570 + 2.36207i 0.768381 + 0.125543i
\(355\) 2.73188 9.00580i 0.144993 0.477978i
\(356\) 31.9846 8.68483i 1.69518 0.460295i
\(357\) 1.79812 18.2566i 0.0951664 0.966241i
\(358\) 14.4961 + 7.11860i 0.766141 + 0.376230i
\(359\) 0.911571 4.58278i 0.0481109 0.241870i −0.949245 0.314536i \(-0.898151\pi\)
0.997356 + 0.0726667i \(0.0231509\pi\)
\(360\) −5.13142 5.08027i −0.270449 0.267754i
\(361\) −6.57510 + 1.30787i −0.346058 + 0.0688352i
\(362\) 0.988972 0.573187i 0.0519792 0.0301260i
\(363\) −5.92257 + 11.0804i −0.310854 + 0.581568i
\(364\) 8.56954 3.25806i 0.449166 0.170769i
\(365\) 3.17916 + 32.2785i 0.166405 + 1.68954i
\(366\) 3.62955 9.69255i 0.189720 0.506638i
\(367\) −15.5005 + 6.42054i −0.809122 + 0.335149i −0.748604 0.663018i \(-0.769275\pi\)
−0.0605182 + 0.998167i \(0.519275\pi\)
\(368\) 2.77882 5.73106i 0.144856 0.298752i
\(369\) −6.81092 2.82118i −0.354562 0.146865i
\(370\) 16.8352 18.0350i 0.875220 0.937596i
\(371\) −2.62108 2.15106i −0.136080 0.111678i
\(372\) 6.43912 1.08520i 0.333853 0.0562652i
\(373\) 13.0019 3.94408i 0.673212 0.204217i 0.0648727 0.997894i \(-0.479336\pi\)
0.608340 + 0.793677i \(0.291836\pi\)
\(374\) −39.1493 29.9366i −2.02436 1.54798i
\(375\) 4.93929 7.39217i 0.255064 0.381730i
\(376\) 6.01844 11.3966i 0.310377 0.587737i
\(377\) 13.9587 9.32693i 0.718912 0.480361i
\(378\) 2.71304 2.38730i 0.139544 0.122789i
\(379\) 6.29420 + 7.66950i 0.323311 + 0.393956i 0.909148 0.416473i \(-0.136734\pi\)
−0.585837 + 0.810429i \(0.699234\pi\)
\(380\) −8.23902 + 24.5403i −0.422653 + 1.25889i
\(381\) 5.36270 2.86642i 0.274740 0.146851i
\(382\) 31.8250 7.47660i 1.62831 0.382536i
\(383\) −2.96222 −0.151362 −0.0756812 0.997132i \(-0.524113\pi\)
−0.0756812 + 0.997132i \(0.524113\pi\)
\(384\) −9.73118 + 5.77098i −0.496592 + 0.294499i
\(385\) 31.6679 1.61394
\(386\) −4.28037 + 1.00558i −0.217865 + 0.0511827i
\(387\) −4.98972 + 2.66706i −0.253642 + 0.135574i
\(388\) −26.3308 8.84017i −1.33675 0.448792i
\(389\) −3.52693 4.29757i −0.178822 0.217896i 0.675883 0.737009i \(-0.263762\pi\)
−0.854706 + 0.519113i \(0.826262\pi\)
\(390\) −4.86225 + 4.27846i −0.246210 + 0.216648i
\(391\) −9.50464 + 6.35080i −0.480670 + 0.321174i
\(392\) −1.27051 + 0.392365i −0.0641704 + 0.0198174i
\(393\) 7.82965 11.7179i 0.394954 0.591090i
\(394\) −12.2318 9.35338i −0.616229 0.471216i
\(395\) −1.97464 + 0.599000i −0.0993549 + 0.0301390i
\(396\) −1.61345 9.57352i −0.0810791 0.481087i
\(397\) −20.1579 16.5432i −1.01170 0.830279i −0.0261467 0.999658i \(-0.508324\pi\)
−0.985551 + 0.169379i \(0.945824\pi\)
\(398\) 17.8603 19.1331i 0.895254 0.959057i
\(399\) −11.9693 4.95783i −0.599213 0.248202i
\(400\) 4.03280 + 4.53704i 0.201640 + 0.226852i
\(401\) −20.2697 + 8.39600i −1.01222 + 0.419276i −0.826265 0.563282i \(-0.809539\pi\)
−0.185957 + 0.982558i \(0.559539\pi\)
\(402\) 0.157543 0.420712i 0.00785755 0.0209832i
\(403\) −0.574079 5.82872i −0.0285969 0.290349i
\(404\) 11.3355 + 29.8153i 0.563961 + 1.48337i
\(405\) −1.20345 + 2.25150i −0.0598001 + 0.111878i
\(406\) 29.2609 16.9590i 1.45219 0.841660i
\(407\) 32.5339 6.47139i 1.61264 0.320775i
\(408\) 20.3050 0.101707i 1.00525 0.00503523i
\(409\) 0.934541 4.69825i 0.0462101 0.232314i −0.950778 0.309874i \(-0.899713\pi\)
0.996988 + 0.0775605i \(0.0247131\pi\)
\(410\) 23.8911 + 11.7322i 1.17990 + 0.579414i
\(411\) −0.227801 + 2.31290i −0.0112366 + 0.114087i
\(412\) −2.89979 10.6794i −0.142863 0.526137i
\(413\) 7.68353 25.3292i 0.378082 1.24637i
\(414\) −2.22239 0.363107i −0.109224 0.0178457i
\(415\) −18.3516 18.3516i −0.900845 0.900845i
\(416\) 4.56402 + 9.06338i 0.223770 + 0.444369i
\(417\) 10.2416 10.2416i 0.501533 0.501533i
\(418\) −28.2570 + 20.3202i −1.38210 + 0.993892i
\(419\) −9.38167 2.84590i −0.458325 0.139031i 0.0526759 0.998612i \(-0.483225\pi\)
−0.511000 + 0.859580i \(0.670725\pi\)
\(420\) −10.3246 + 7.97730i −0.503791 + 0.389252i
\(421\) −22.1288 2.17949i −1.07849 0.106222i −0.456864 0.889537i \(-0.651027\pi\)
−0.621626 + 0.783315i \(0.713527\pi\)
\(422\) 9.04183 + 26.4910i 0.440149 + 1.28956i
\(423\) −4.46911 0.888960i −0.217295 0.0432227i
\(424\) 2.06944 3.13097i 0.100501 0.152054i
\(425\) −2.12543 10.6853i −0.103099 0.518312i
\(426\) −1.34088 + 5.03787i −0.0649660 + 0.244086i
\(427\) −16.4930 8.81572i −0.798155 0.426623i
\(428\) −0.866231 + 29.4695i −0.0418709 + 1.42446i
\(429\) −8.66599 + 0.853526i −0.418398 + 0.0412086i
\(430\) 18.5921 8.46141i 0.896590 0.408045i
\(431\) 12.0493 + 29.0895i 0.580393 + 1.40119i 0.892458 + 0.451131i \(0.148979\pi\)
−0.312065 + 0.950061i \(0.601021\pi\)
\(432\) 2.93765 + 2.71481i 0.141338 + 0.130616i
\(433\) −4.00880 + 9.67810i −0.192651 + 0.465100i −0.990458 0.137812i \(-0.955993\pi\)
0.797808 + 0.602912i \(0.205993\pi\)
\(434\) −0.405742 11.7920i −0.0194762 0.566036i
\(435\) −15.1569 + 18.4687i −0.726717 + 0.885507i
\(436\) −0.910740 1.45374i −0.0436165 0.0696216i
\(437\) 2.34342 + 7.72521i 0.112101 + 0.369547i
\(438\) −2.37494 17.8096i −0.113479 0.850977i
\(439\) −12.8625 8.59446i −0.613895 0.410191i 0.209380 0.977834i \(-0.432855\pi\)
−0.823275 + 0.567643i \(0.807855\pi\)
\(440\) 3.61037 + 34.8654i 0.172117 + 1.66214i
\(441\) 0.261188 + 0.390895i 0.0124375 + 0.0186140i
\(442\) 1.16081 18.1755i 0.0552141 0.864519i
\(443\) 16.8948 13.8652i 0.802698 0.658758i −0.140836 0.990033i \(-0.544979\pi\)
0.943534 + 0.331275i \(0.107479\pi\)
\(444\) −8.97682 + 10.3053i −0.426021 + 0.489069i
\(445\) 19.9429 + 37.3105i 0.945384 + 1.76869i
\(446\) −28.1452 17.4367i −1.33271 0.825651i
\(447\) 20.5880i 0.973781i
\(448\) 8.01197 + 18.8075i 0.378530 + 0.888569i
\(449\) 31.1983i 1.47234i 0.676796 + 0.736170i \(0.263368\pi\)
−0.676796 + 0.736170i \(0.736632\pi\)
\(450\) 1.13028 1.82442i 0.0532818 0.0860039i
\(451\) 16.8694 + 31.5605i 0.794351 + 1.48613i
\(452\) −17.0944 + 1.17777i −0.804053 + 0.0553975i
\(453\) 5.09552 4.18179i 0.239409 0.196478i
\(454\) −14.5254 0.927692i −0.681711 0.0435387i
\(455\) 6.50168 + 9.73045i 0.304803 + 0.456171i
\(456\) 4.09385 13.7431i 0.191712 0.643578i
\(457\) −3.76357 2.51474i −0.176053 0.117635i 0.464422 0.885614i \(-0.346262\pi\)
−0.640474 + 0.767980i \(0.721262\pi\)
\(458\) −21.7167 + 2.89596i −1.01476 + 0.135319i
\(459\) −2.08395 6.86987i −0.0972705 0.320658i
\(460\) 7.92389 + 1.81971i 0.369453 + 0.0848446i
\(461\) 17.4003 21.2024i 0.810414 0.987492i −0.189570 0.981867i \(-0.560710\pi\)
0.999984 0.00562486i \(-0.00179046\pi\)
\(462\) −17.5321 + 0.603247i −0.815667 + 0.0280656i
\(463\) −3.09445 + 7.47067i −0.143811 + 0.347192i −0.979329 0.202271i \(-0.935168\pi\)
0.835518 + 0.549463i \(0.185168\pi\)
\(464\) 22.0073 + 30.2820i 1.02166 + 1.40580i
\(465\) 3.18978 + 7.70081i 0.147923 + 0.357117i
\(466\) 9.27611 + 20.3822i 0.429707 + 0.944187i
\(467\) 5.84124 0.575312i 0.270300 0.0266223i 0.0380411 0.999276i \(-0.487888\pi\)
0.232259 + 0.972654i \(0.425388\pi\)
\(468\) 2.61036 2.46128i 0.120664 0.113773i
\(469\) −0.715892 0.382652i −0.0330568 0.0176692i
\(470\) 15.8980 + 4.23141i 0.733319 + 0.195181i
\(471\) 2.53164 + 12.7274i 0.116652 + 0.586447i
\(472\) 28.7627 + 5.57164i 1.32391 + 0.256456i
\(473\) 26.9366 + 5.35803i 1.23855 + 0.246363i
\(474\) 1.08180 0.369236i 0.0496886 0.0169596i
\(475\) −7.65688 0.754136i −0.351322 0.0346022i
\(476\) 4.66749 36.3917i 0.213934 1.66801i
\(477\) −1.26978 0.385183i −0.0581391 0.0176363i
\(478\) −10.9077 15.1681i −0.498904 0.693771i
\(479\) −4.51276 + 4.51276i −0.206193 + 0.206193i −0.802647 0.596454i \(-0.796576\pi\)
0.596454 + 0.802647i \(0.296576\pi\)
\(480\) −9.95987 10.4577i −0.454604 0.477326i
\(481\) 8.66792 + 8.66792i 0.395223 + 0.395223i
\(482\) −1.72551 + 10.5609i −0.0785946 + 0.481037i
\(483\) −1.18114 + 3.89371i −0.0537439 + 0.177170i
\(484\) −12.4911 + 21.8031i −0.567779 + 0.991050i
\(485\) 3.47514 35.2837i 0.157798 1.60215i
\(486\) 0.623372 1.26941i 0.0282767 0.0575817i
\(487\) −5.11676 + 25.7237i −0.231863 + 1.16565i 0.672899 + 0.739734i \(0.265049\pi\)
−0.904762 + 0.425918i \(0.859951\pi\)
\(488\) 7.82554 19.1635i 0.354245 0.867489i
\(489\) 2.10499 0.418708i 0.0951909 0.0189346i
\(490\) −0.851128 1.46853i −0.0384500 0.0663414i
\(491\) 16.9366 31.6861i 0.764337 1.42997i −0.134144 0.990962i \(-0.542828\pi\)
0.898481 0.439012i \(-0.144672\pi\)
\(492\) −13.4502 6.04015i −0.606381 0.272311i
\(493\) −6.58528 66.8614i −0.296586 3.01129i
\(494\) −12.0451 4.51051i −0.541935 0.202937i
\(495\) 11.4494 4.74248i 0.514611 0.213159i
\(496\) 12.9365 1.79109i 0.580864 0.0804223i
\(497\) 8.70287 + 3.60485i 0.390377 + 0.161699i
\(498\) 10.5095 + 9.81031i 0.470941 + 0.439611i
\(499\) 28.3177 + 23.2397i 1.26767 + 1.04035i 0.996978 + 0.0776883i \(0.0247539\pi\)
0.270696 + 0.962665i \(0.412746\pi\)
\(500\) 10.3087 14.4877i 0.461019 0.647910i
\(501\) −2.56522 + 0.778150i −0.114605 + 0.0347652i
\(502\) −22.2686 + 29.1215i −0.993895 + 1.29976i
\(503\) 13.3131 19.9245i 0.593604 0.888391i −0.406072 0.913841i \(-0.633102\pi\)
0.999676 + 0.0254499i \(0.00810183\pi\)
\(504\) 5.56402 4.61310i 0.247841 0.205484i
\(505\) −33.8543 + 22.6207i −1.50650 + 1.00661i
\(506\) 7.22109 + 8.20640i 0.321017 + 0.364819i
\(507\) 6.20565 + 7.56161i 0.275603 + 0.335823i
\(508\) 10.8892 5.41525i 0.483131 0.240263i
\(509\) 23.8042 12.7236i 1.05510 0.563964i 0.149793 0.988717i \(-0.452139\pi\)
0.905309 + 0.424754i \(0.139639\pi\)
\(510\) 5.92777 + 25.2322i 0.262486 + 1.11730i
\(511\) −32.4653 −1.43618
\(512\) −19.7931 + 10.9651i −0.874738 + 0.484595i
\(513\) −5.06990 −0.223842
\(514\) 2.23951 + 9.53275i 0.0987808 + 0.420472i
\(515\) 12.4577 6.65877i 0.548951 0.293420i
\(516\) −10.1319 + 5.03861i −0.446030 + 0.221812i
\(517\) 14.0323 + 17.0984i 0.617139 + 0.751987i
\(518\) 16.3134 + 18.5393i 0.716770 + 0.814572i
\(519\) −7.07487 + 4.72727i −0.310552 + 0.207504i
\(520\) −9.97172 + 8.26751i −0.437289 + 0.362554i
\(521\) −10.0409 + 15.0273i −0.439900 + 0.658358i −0.983483 0.180998i \(-0.942067\pi\)
0.543583 + 0.839355i \(0.317067\pi\)
\(522\) 8.03941 10.5135i 0.351875 0.460162i
\(523\) −22.1382 + 6.71554i −0.968035 + 0.293650i −0.734432 0.678682i \(-0.762551\pi\)
−0.233603 + 0.972332i \(0.575051\pi\)
\(524\) 16.3411 22.9656i 0.713865 1.00326i
\(525\) −2.99769 2.46014i −0.130830 0.107369i
\(526\) 22.1200 + 20.6484i 0.964477 + 0.900313i
\(527\) −21.6550 8.96977i −0.943304 0.390729i
\(528\) −2.66295 19.2336i −0.115890 0.837034i
\(529\) −18.9068 + 7.83145i −0.822035 + 0.340498i
\(530\) 4.48647 + 1.68004i 0.194880 + 0.0729763i
\(531\) −1.01528 10.3083i −0.0440594 0.447343i
\(532\) −23.6369 10.6147i −1.02479 0.460207i
\(533\) −6.23402 + 11.6630i −0.270026 + 0.505182i
\(534\) −11.7516 20.2761i −0.508542 0.877434i
\(535\) −36.9103 + 7.34192i −1.59577 + 0.317419i
\(536\) 0.339673 0.831803i 0.0146716 0.0359284i
\(537\) 2.22784 11.2001i 0.0961382 0.483319i
\(538\) 0.929573 1.89295i 0.0400767 0.0816108i
\(539\) 0.223686 2.27112i 0.00963484 0.0978242i
\(540\) −2.53817 + 4.43034i −0.109226 + 0.190652i
\(541\) −8.33270 + 27.4692i −0.358251 + 1.18099i 0.573901 + 0.818925i \(0.305430\pi\)
−0.932151 + 0.362069i \(0.882070\pi\)
\(542\) −3.92993 + 24.0531i −0.168805 + 1.03317i
\(543\) −0.571535 0.571535i −0.0245269 0.0245269i
\(544\) 40.5984 + 0.989854i 1.74064 + 0.0424396i
\(545\) 1.54838 1.54838i 0.0663255 0.0663255i
\(546\) −3.78485 5.26316i −0.161976 0.225243i
\(547\) −4.95477 1.50301i −0.211851 0.0642642i 0.182576 0.983192i \(-0.441557\pi\)
−0.394426 + 0.918928i \(0.629057\pi\)
\(548\) −0.591318 + 4.61042i −0.0252599 + 0.196947i
\(549\) −7.28320 0.717333i −0.310840 0.0306150i
\(550\) −9.85957 + 3.36524i −0.420413 + 0.143494i
\(551\) −46.5353 9.25644i −1.98247 0.394338i
\(552\) −4.42152 0.856495i −0.188192 0.0364548i
\(553\) −0.402947 2.02575i −0.0171351 0.0861438i
\(554\) −6.45015 1.71678i −0.274041 0.0729388i
\(555\) −15.3855 8.22371i −0.653078 0.349077i
\(556\) 21.0762 19.8725i 0.893828 0.842782i
\(557\) −25.4653 + 2.50811i −1.07900 + 0.106272i −0.621864 0.783125i \(-0.713624\pi\)
−0.457135 + 0.889398i \(0.651124\pi\)
\(558\) −1.91264 4.20260i −0.0809683 0.177910i
\(559\) 3.88398 + 9.37676i 0.164275 + 0.396595i
\(560\) −21.1091 + 15.3410i −0.892024 + 0.648276i
\(561\) −13.3360 + 32.1960i −0.563047 + 1.35932i
\(562\) −22.6482 + 0.779283i −0.955358 + 0.0328721i
\(563\) −5.87060 + 7.15335i −0.247416 + 0.301478i −0.881879 0.471476i \(-0.843721\pi\)
0.634463 + 0.772954i \(0.281221\pi\)
\(564\) −8.88211 2.03977i −0.374004 0.0858898i
\(565\) −6.34920 20.9305i −0.267113 0.880553i
\(566\) 11.8132 1.57530i 0.496544 0.0662148i
\(567\) −2.12471 1.41968i −0.0892293 0.0596211i
\(568\) −2.97665 + 9.99260i −0.124897 + 0.419280i
\(569\) 12.5382 + 18.7648i 0.525631 + 0.786662i 0.995367 0.0961447i \(-0.0306512\pi\)
−0.469737 + 0.882807i \(0.655651\pi\)
\(570\) 18.2673 + 1.16667i 0.765131 + 0.0488665i
\(571\) −11.4160 + 9.36891i −0.477747 + 0.392077i −0.842217 0.539138i \(-0.818750\pi\)
0.364470 + 0.931215i \(0.381250\pi\)
\(572\) −17.3747 + 1.19708i −0.726471 + 0.0500523i
\(573\) −10.8970 20.3868i −0.455227 0.851670i
\(574\) −14.0307 + 22.6474i −0.585630 + 0.945286i
\(575\) 2.41643i 0.100772i
\(576\) 5.71324 + 5.59990i 0.238052 + 0.233329i
\(577\) 1.81698i 0.0756420i −0.999285 0.0378210i \(-0.987958\pi\)
0.999285 0.0378210i \(-0.0120417\pi\)
\(578\) −41.5214 25.7236i −1.72706 1.06996i
\(579\) 1.46561 + 2.74197i 0.0609087 + 0.113952i
\(580\) −31.3860 + 36.0308i −1.30323 + 1.49610i
\(581\) 20.0809 16.4800i 0.833098 0.683706i
\(582\) −1.25180 + 19.6001i −0.0518886 + 0.812450i
\(583\) 3.57853 + 5.35565i 0.148208 + 0.221808i
\(584\) −3.70128 35.7434i −0.153160 1.47907i
\(585\) 3.80786 + 2.54433i 0.157435 + 0.105195i
\(586\) −6.00074 44.9995i −0.247888 1.85891i
\(587\) 9.22586 + 30.4136i 0.380792 + 1.25530i 0.912745 + 0.408529i \(0.133958\pi\)
−0.531953 + 0.846774i \(0.678542\pi\)
\(588\) 0.499179 + 0.796800i 0.0205858 + 0.0328595i
\(589\) −10.5011 + 12.7957i −0.432692 + 0.527237i
\(590\) 1.28602 + 37.3753i 0.0529444 + 1.53872i
\(591\) −4.16670 + 10.0593i −0.171395 + 0.413785i
\(592\) −18.5515 + 20.0742i −0.762460 + 0.825046i
\(593\) 10.1517 + 24.5083i 0.416879 + 1.00643i 0.983246 + 0.182281i \(0.0583482\pi\)
−0.566368 + 0.824153i \(0.691652\pi\)
\(594\) −6.24831 + 2.84366i −0.256371 + 0.116677i
\(595\) 46.6082 4.59051i 1.91075 0.188192i
\(596\) 1.20981 41.1583i 0.0495558 1.68591i
\(597\) −16.3223 8.72444i −0.668027 0.357068i
\(598\) −1.03899 + 3.90364i −0.0424876 + 0.159632i
\(599\) −8.02745 40.3567i −0.327993 1.64893i −0.695219 0.718798i \(-0.744693\pi\)
0.367226 0.930132i \(-0.380307\pi\)
\(600\) 2.36679 3.58084i 0.0966236 0.146187i
\(601\) −22.5320 4.48189i −0.919099 0.182820i −0.287200 0.957871i \(-0.592724\pi\)
−0.631899 + 0.775050i \(0.717724\pi\)
\(602\) 6.60455 + 19.3502i 0.269181 + 0.788654i
\(603\) −0.316132 0.0311363i −0.0128739 0.00126797i
\(604\) 10.4324 8.06054i 0.424487 0.327979i
\(605\) −30.6939 9.31088i −1.24788 0.378541i
\(606\) 18.3117 13.1683i 0.743861 0.534925i
\(607\) 25.4792 25.4792i 1.03417 1.03417i 0.0347756 0.999395i \(-0.488928\pi\)
0.999395 0.0347756i \(-0.0110716\pi\)
\(608\) 8.99175 27.2337i 0.364664 1.10447i
\(609\) −16.9101 16.9101i −0.685232 0.685232i
\(610\) 26.0769 + 4.26060i 1.05582 + 0.172507i
\(611\) −2.37281 + 7.82209i −0.0959934 + 0.316448i
\(612\) −3.76241 13.8563i −0.152086 0.560106i
\(613\) −0.460114 + 4.67162i −0.0185838 + 0.188685i −0.999995 0.00323329i \(-0.998971\pi\)
0.981411 + 0.191918i \(0.0614708\pi\)
\(614\) 5.89228 + 2.89353i 0.237793 + 0.116773i
\(615\) 3.67172 18.4590i 0.148058 0.744337i
\(616\) −35.0845 + 0.175737i −1.41360 + 0.00708063i
\(617\) −30.6310 + 6.09289i −1.23316 + 0.245291i −0.768298 0.640093i \(-0.778896\pi\)
−0.464862 + 0.885383i \(0.653896\pi\)
\(618\) −6.77003 + 3.92377i −0.272331 + 0.157837i
\(619\) 9.07139 16.9714i 0.364610 0.682137i −0.630995 0.775787i \(-0.717353\pi\)
0.995605 + 0.0936493i \(0.0298533\pi\)
\(620\) 5.92429 + 15.5824i 0.237925 + 0.625805i
\(621\) 0.156073 + 1.58464i 0.00626300 + 0.0635893i
\(622\) 7.36997 19.6812i 0.295509 0.789142i
\(623\) −39.1225 + 16.2051i −1.56741 + 0.649242i
\(624\) 5.36310 4.76705i 0.214696 0.190835i
\(625\) 27.9795 + 11.5895i 1.11918 + 0.463580i
\(626\) 3.40337 3.64592i 0.136026 0.145720i
\(627\) 19.0243 + 15.6128i 0.759757 + 0.623516i
\(628\) 4.31319 + 25.5926i 0.172115 + 1.02125i
\(629\) 46.9447 14.2405i 1.87181 0.567807i
\(630\) 7.32879 + 5.60416i 0.291986 + 0.223275i
\(631\) 13.1175 19.6318i 0.522201 0.781529i −0.472824 0.881157i \(-0.656765\pi\)
0.995025 + 0.0996277i \(0.0317652\pi\)
\(632\) 2.18436 0.674584i 0.0868891 0.0268335i
\(633\) 16.4573 10.9964i 0.654118 0.437068i
\(634\) 20.4858 18.0262i 0.813596 0.715911i
\(635\) 9.84816 + 12.0000i 0.390812 + 0.476206i
\(636\) −2.51582 0.844648i −0.0997589 0.0334925i
\(637\) 0.743763 0.397550i 0.0294690 0.0157515i
\(638\) −62.5434 + 14.6932i −2.47612 + 0.581710i
\(639\) 3.68633 0.145829
\(640\) −19.2966 21.4916i −0.762766 0.849530i
\(641\) −7.20878 −0.284730 −0.142365 0.989814i \(-0.545471\pi\)
−0.142365 + 0.989814i \(0.545471\pi\)
\(642\) 20.2946 4.76778i 0.800964 0.188169i
\(643\) 28.4155 15.1884i 1.12060 0.598973i 0.196263 0.980551i \(-0.437119\pi\)
0.924337 + 0.381578i \(0.124619\pi\)
\(644\) −2.59007 + 7.71464i −0.102063 + 0.304000i
\(645\) −9.16321 11.1654i −0.360801 0.439637i
\(646\) −38.6426 + 34.0030i −1.52037 + 1.33783i
\(647\) 14.1901 9.48152i 0.557871 0.372757i −0.244440 0.969665i \(-0.578604\pi\)
0.802310 + 0.596907i \(0.203604\pi\)
\(648\) 1.32080 2.50110i 0.0518859 0.0982524i
\(649\) −27.9349 + 41.8075i −1.09654 + 1.64109i
\(650\) −3.05828 2.33860i −0.119955 0.0917273i
\(651\) −7.98391 + 2.42189i −0.312914 + 0.0949215i
\(652\) 4.23276 0.713360i 0.165768 0.0279373i
\(653\) 25.0332 + 20.5442i 0.979626 + 0.803958i 0.980596 0.196041i \(-0.0628087\pi\)
−0.000969885 1.00000i \(0.500309\pi\)
\(654\) −0.827728 + 0.886719i −0.0323667 + 0.0346735i
\(655\) 33.2400 + 13.7685i 1.29880 + 0.537979i
\(656\) −26.5338 12.8654i −1.03597 0.502311i
\(657\) −11.7377 + 4.86191i −0.457931 + 0.189681i
\(658\) −5.77476 + 15.4212i −0.225123 + 0.601181i
\(659\) −0.00546461 0.0554831i −0.000212871 0.00216132i 0.995078 0.0990977i \(-0.0315956\pi\)
−0.995291 + 0.0969364i \(0.969096\pi\)
\(660\) 23.1675 8.80808i 0.901795 0.342854i
\(661\) −7.95100 + 14.8753i −0.309258 + 0.578581i −0.987753 0.156024i \(-0.950132\pi\)
0.678495 + 0.734605i \(0.262632\pi\)
\(662\) 36.8143 21.3368i 1.43083 0.829277i
\(663\) −12.6307 + 2.51241i −0.490537 + 0.0975739i
\(664\) 20.4334 + 20.2297i 0.792970 + 0.785066i
\(665\) 6.45254 32.4391i 0.250219 1.25793i
\(666\) 8.67444 + 4.25977i 0.336128 + 0.165063i
\(667\) −1.46062 + 14.8299i −0.0565553 + 0.574216i
\(668\) −5.17395 + 1.40489i −0.200186 + 0.0543568i
\(669\) −6.79597 + 22.4033i −0.262748 + 0.866163i
\(670\) 1.13189 + 0.184934i 0.0437286 + 0.00714463i
\(671\) 25.1204 + 25.1204i 0.969764 + 0.969764i
\(672\) 11.3943 8.89527i 0.439545 0.343142i
\(673\) 12.0674 12.0674i 0.465166 0.465166i −0.435178 0.900344i \(-0.643315\pi\)
0.900344 + 0.435178i \(0.143315\pi\)
\(674\) −3.71964 + 2.67487i −0.143275 + 0.103032i
\(675\) −1.45222 0.440527i −0.0558961 0.0169559i
\(676\) 11.9616 + 15.4813i 0.460062 + 0.595436i
\(677\) 23.5326 + 2.31776i 0.904432 + 0.0890788i 0.539529 0.841967i \(-0.318602\pi\)
0.364903 + 0.931046i \(0.381102\pi\)
\(678\) 3.91378 + 11.4667i 0.150308 + 0.440376i
\(679\) 34.8060 + 6.92334i 1.33573 + 0.265693i
\(680\) 10.3677 + 50.7910i 0.397583 + 1.94775i
\(681\) 2.00786 + 10.0942i 0.0769413 + 0.386810i
\(682\) −5.76498 + 21.6598i −0.220753 + 0.829396i
\(683\) 30.0509 + 16.0626i 1.14987 + 0.614617i 0.932392 0.361449i \(-0.117718\pi\)
0.217475 + 0.976066i \(0.430218\pi\)
\(684\) −10.1354 0.297922i −0.387538 0.0113913i
\(685\) −5.90473 + 0.581565i −0.225608 + 0.0222205i
\(686\) 24.5708 11.1824i 0.938118 0.426945i
\(687\) 5.92852 + 14.3127i 0.226187 + 0.546064i
\(688\) −20.5510 + 9.47749i −0.783501 + 0.361326i
\(689\) −0.910906 + 2.19912i −0.0347027 + 0.0837798i
\(690\) −0.197691 5.74549i −0.00752598 0.218727i
\(691\) −3.72806 + 4.54266i −0.141822 + 0.172811i −0.839077 0.544012i \(-0.816905\pi\)
0.697255 + 0.716823i \(0.254405\pi\)
\(692\) −14.4214 + 9.03473i −0.548220 + 0.343449i
\(693\) 3.60081 + 11.8703i 0.136783 + 0.450914i
\(694\) 0.343452 + 2.57554i 0.0130372 + 0.0977660i
\(695\) 30.7448 + 20.5430i 1.16622 + 0.779241i
\(696\) 16.6897 20.5454i 0.632621 0.778772i
\(697\) 29.4031 + 44.0048i 1.11372 + 1.66680i
\(698\) 1.58179 24.7670i 0.0598717 0.937446i
\(699\) 12.2404 10.0455i 0.462976 0.379955i
\(700\) −5.84822 5.09430i −0.221042 0.192547i
\(701\) 11.5173 + 21.5473i 0.435002 + 0.813832i 0.999936 0.0113043i \(-0.00359833\pi\)
−0.564934 + 0.825136i \(0.691098\pi\)
\(702\) −2.15659 1.33607i −0.0813952 0.0504265i
\(703\) 34.6448i 1.30665i
\(704\) −4.19337 38.6070i −0.158044 1.45506i
\(705\) 11.6329i 0.438122i
\(706\) −10.0346 + 16.1972i −0.377657 + 0.609588i
\(707\) −19.2116 35.9424i −0.722528 1.35175i
\(708\) −1.42394 20.6674i −0.0535149 0.776728i
\(709\) 11.9226 9.78463i 0.447763 0.367470i −0.383322 0.923615i \(-0.625220\pi\)
0.831085 + 0.556145i \(0.187720\pi\)
\(710\) −13.2822 0.848289i −0.498470 0.0318357i
\(711\) −0.449054 0.672057i −0.0168409 0.0252041i
\(712\) −22.3016 41.2253i −0.835787 1.54498i
\(713\) 4.32266 + 2.88831i 0.161885 + 0.108168i
\(714\) −25.7160 + 3.42927i −0.962397 + 0.128337i
\(715\) −6.45330 21.2737i −0.241340 0.795590i
\(716\) 5.11190 22.2596i 0.191041 0.831880i
\(717\) −8.38080 + 10.2120i −0.312987 + 0.381375i
\(718\) −6.60409 + 0.227234i −0.246462 + 0.00848031i
\(719\) 5.61662 13.5597i 0.209465 0.505692i −0.783875 0.620919i \(-0.786759\pi\)
0.993339 + 0.115227i \(0.0367595\pi\)
\(720\) −5.33449 + 8.70771i −0.198805 + 0.324517i
\(721\) 5.41074 + 13.0627i 0.201506 + 0.486480i
\(722\) 3.92719 + 8.62914i 0.146155 + 0.321143i
\(723\) 7.53028 0.741668i 0.280054 0.0275829i
\(724\) −1.10899 1.17616i −0.0412153 0.0437117i
\(725\) −12.5253 6.69489i −0.465176 0.248642i
\(726\) 17.1702 + 4.57004i 0.637247 + 0.169610i
\(727\) −2.65714 13.3583i −0.0985479 0.495434i −0.998261 0.0589516i \(-0.981224\pi\)
0.899713 0.436482i \(-0.143776\pi\)
\(728\) −7.25714 10.7442i −0.268968 0.398206i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) 43.4106 14.8168i 1.60670 0.548395i
\(731\) 40.4216 + 3.98118i 1.49505 + 0.147249i
\(732\) −14.5180 1.86203i −0.536599 0.0688225i
\(733\) −30.5923 9.28006i −1.12995 0.342767i −0.330683 0.943742i \(-0.607279\pi\)
−0.799268 + 0.600975i \(0.794779\pi\)
\(734\) 13.8527 + 19.2635i 0.511314 + 0.711028i
\(735\) −0.848675 + 0.848675i −0.0313038 + 0.0313038i
\(736\) −8.78890 1.97207i −0.323963 0.0726915i
\(737\) 1.09037 + 1.09037i 0.0401643 + 0.0401643i
\(738\) −1.68112 + 10.2893i −0.0618830 + 0.378753i
\(739\) −8.15570 + 26.8857i −0.300012 + 0.989008i 0.669262 + 0.743026i \(0.266610\pi\)
−0.969274 + 0.245982i \(0.920890\pi\)
\(740\) −30.2744 17.3444i −1.11291 0.637594i
\(741\) −0.891442 + 9.05096i −0.0327479 + 0.332495i
\(742\) −2.11369 + 4.30425i −0.0775962 + 0.158014i
\(743\) 0.709646 3.56763i 0.0260344 0.130884i −0.965582 0.260097i \(-0.916245\pi\)
0.991617 + 0.129214i \(0.0412453\pi\)
\(744\) −3.57666 8.51395i −0.131127 0.312137i
\(745\) 51.5503 10.2540i 1.88866 0.375678i
\(746\) −9.63519 16.6245i −0.352769 0.608665i
\(747\) 4.79218 8.96553i 0.175337 0.328032i
\(748\) −28.5525 + 63.5806i −1.04398 + 2.32474i
\(749\) −3.69220 37.4876i −0.134910 1.36977i
\(750\) −11.7746 4.40920i −0.429946 0.161001i
\(751\) 20.2906 8.40464i 0.740414 0.306690i 0.0195907 0.999808i \(-0.493764\pi\)
0.720824 + 0.693118i \(0.243764\pi\)
\(752\) −17.6367 4.59972i −0.643144 0.167734i
\(753\) 23.9493 + 9.92011i 0.872760 + 0.361509i
\(754\) −17.3554 16.2008i −0.632047 0.589998i
\(755\) 13.0086 + 10.6759i 0.473432 + 0.388536i
\(756\) −4.16415 2.96299i −0.151449 0.107763i
\(757\) −18.1015 + 5.49104i −0.657911 + 0.199575i −0.601550 0.798835i \(-0.705450\pi\)
−0.0563614 + 0.998410i \(0.517950\pi\)
\(758\) 8.52310 11.1460i 0.309573 0.404841i
\(759\) 4.29426 6.42681i 0.155872 0.233279i
\(760\) 36.4502 + 3.40577i 1.32219 + 0.123540i
\(761\) −41.7500 + 27.8964i −1.51343 + 1.01124i −0.526491 + 0.850181i \(0.676492\pi\)
−0.986944 + 0.161064i \(0.948508\pi\)
\(762\) −5.68077 6.45591i −0.205793 0.233873i
\(763\) 1.39047 + 1.69429i 0.0503384 + 0.0613376i
\(764\) −20.5865 41.3963i −0.744795 1.49767i
\(765\) 16.1635 8.63958i 0.584393 0.312365i
\(766\) 0.958082 + 4.07819i 0.0346169 + 0.147351i
\(767\) −18.5813 −0.670931
\(768\) 11.0925 + 11.5307i 0.400265 + 0.416078i
\(769\) −30.7224 −1.10788 −0.553940 0.832557i \(-0.686876\pi\)
−0.553940 + 0.832557i \(0.686876\pi\)
\(770\) −10.2424 43.5981i −0.369112 1.57117i
\(771\) 6.10659 3.26404i 0.219923 0.117552i
\(772\) 2.76883 + 5.56769i 0.0996524 + 0.200385i
\(773\) −10.8451 13.2148i −0.390072 0.475304i