Properties

Label 819.2.fy.a.50.15
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.15
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.548397 - 2.04664i) q^{2} +(-1.71570 + 0.237418i) q^{3} +(-2.15597 + 1.24475i) q^{4} +(0.530257 + 1.97895i) q^{5} +(1.42680 + 3.38123i) q^{6} +(0.707107 - 0.707107i) q^{7} +(0.733384 + 0.733384i) q^{8} +(2.88726 - 0.814679i) q^{9} +O(q^{10})\) \(q+(-0.548397 - 2.04664i) q^{2} +(-1.71570 + 0.237418i) q^{3} +(-2.15597 + 1.24475i) q^{4} +(0.530257 + 1.97895i) q^{5} +(1.42680 + 3.38123i) q^{6} +(0.707107 - 0.707107i) q^{7} +(0.733384 + 0.733384i) q^{8} +(2.88726 - 0.814679i) q^{9} +(3.75941 - 2.17049i) q^{10} +(0.0834806 - 0.0223685i) q^{11} +(3.40347 - 2.64748i) q^{12} +(-0.572885 - 3.55975i) q^{13} +(-1.83497 - 1.05942i) q^{14} +(-1.37960 - 3.26939i) q^{15} +(-1.39070 + 2.40877i) q^{16} +(-1.73263 + 3.00100i) q^{17} +(-3.25072 - 5.46244i) q^{18} +(-7.99159 + 2.14134i) q^{19} +(-3.60650 - 3.60650i) q^{20} +(-1.04530 + 1.38106i) q^{21} +(-0.0915609 - 0.158588i) q^{22} -2.60559 q^{23} +(-1.43239 - 1.08415i) q^{24} +(0.695075 - 0.401302i) q^{25} +(-6.97137 + 3.12465i) q^{26} +(-4.76027 + 2.08324i) q^{27} +(-0.644328 + 2.40467i) q^{28} +(7.84036 + 4.52663i) q^{29} +(-5.93471 + 4.61647i) q^{30} +(-0.614844 + 0.164747i) q^{31} +(7.69619 + 2.06219i) q^{32} +(-0.137917 + 0.0581976i) q^{33} +(7.09215 + 1.90033i) q^{34} +(1.77427 + 1.02438i) q^{35} +(-5.21077 + 5.35033i) q^{36} +(-6.94250 - 1.86024i) q^{37} +(8.76512 + 15.1816i) q^{38} +(1.82805 + 5.97145i) q^{39} +(-1.06244 + 1.84021i) q^{40} +(0.725760 - 0.725760i) q^{41} +(3.39979 + 1.38199i) q^{42} +7.34418i q^{43} +(-0.152138 + 0.152138i) q^{44} +(3.14320 + 5.28175i) q^{45} +(1.42890 + 5.33272i) q^{46} +(-2.14484 + 8.00464i) q^{47} +(1.81415 - 4.46291i) q^{48} -1.00000i q^{49} +(-1.20250 - 1.20250i) q^{50} +(2.26018 - 5.56018i) q^{51} +(5.66611 + 6.96159i) q^{52} -6.66554i q^{53} +(6.87416 + 8.60013i) q^{54} +(0.0885323 + 0.153342i) q^{55} +1.03716 q^{56} +(13.2028 - 5.57125i) q^{57} +(4.96478 - 18.5288i) q^{58} +(-2.80217 + 10.4579i) q^{59} +(7.04393 + 5.33143i) q^{60} -13.5427 q^{61} +(0.674357 + 1.16802i) q^{62} +(1.46554 - 2.61767i) q^{63} -11.3195i q^{64} +(6.74077 - 3.02129i) q^{65} +(0.194743 + 0.250352i) q^{66} +(-4.35616 - 4.35616i) q^{67} -8.62673i q^{68} +(4.47042 - 0.618616i) q^{69} +(1.12353 - 4.19307i) q^{70} +(4.03420 + 15.0559i) q^{71} +(2.71494 + 1.52000i) q^{72} +(-0.701151 + 0.701151i) q^{73} +15.2290i q^{74} +(-1.09727 + 0.853538i) q^{75} +(14.5642 - 14.5642i) q^{76} +(0.0432127 - 0.0748466i) q^{77} +(11.2189 - 7.01609i) q^{78} +(-1.21564 - 2.10555i) q^{79} +(-5.50425 - 1.47486i) q^{80} +(7.67260 - 4.70439i) q^{81} +(-1.88338 - 1.08737i) q^{82} +(0.700439 + 0.187682i) q^{83} +(0.534563 - 4.27867i) q^{84} +(-6.85755 - 1.83748i) q^{85} +(15.0309 - 4.02752i) q^{86} +(-14.5264 - 5.90491i) q^{87} +(0.0776280 + 0.0448185i) q^{88} +(-2.28784 + 8.53834i) q^{89} +(9.08615 - 9.32950i) q^{90} +(-2.92221 - 2.11203i) q^{91} +(5.61757 - 3.24330i) q^{92} +(1.01577 - 0.428632i) q^{93} +17.5589 q^{94} +(-8.47519 - 14.6795i) q^{95} +(-13.6940 - 1.71088i) q^{96} +(1.72304 + 1.72304i) q^{97} +(-2.04664 + 0.548397i) q^{98} +(0.222807 - 0.132594i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.548397 2.04664i −0.387775 1.44720i −0.833746 0.552149i \(-0.813808\pi\)
0.445970 0.895048i \(-0.352859\pi\)
\(3\) −1.71570 + 0.237418i −0.990561 + 0.137074i
\(4\) −2.15597 + 1.24475i −1.07798 + 0.622374i
\(5\) 0.530257 + 1.97895i 0.237138 + 0.885011i 0.977173 + 0.212443i \(0.0681421\pi\)
−0.740035 + 0.672568i \(0.765191\pi\)
\(6\) 1.42680 + 3.38123i 0.582487 + 1.38038i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 0.733384 + 0.733384i 0.259290 + 0.259290i
\(9\) 2.88726 0.814679i 0.962422 0.271560i
\(10\) 3.75941 2.17049i 1.18883 0.686371i
\(11\) 0.0834806 0.0223685i 0.0251703 0.00674437i −0.246212 0.969216i \(-0.579186\pi\)
0.271382 + 0.962472i \(0.412519\pi\)
\(12\) 3.40347 2.64748i 0.982496 0.764262i
\(13\) −0.572885 3.55975i −0.158890 0.987296i
\(14\) −1.83497 1.05942i −0.490417 0.283142i
\(15\) −1.37960 3.26939i −0.356211 0.844152i
\(16\) −1.39070 + 2.40877i −0.347676 + 0.602192i
\(17\) −1.73263 + 3.00100i −0.420224 + 0.727849i −0.995961 0.0897856i \(-0.971382\pi\)
0.575737 + 0.817635i \(0.304715\pi\)
\(18\) −3.25072 5.46244i −0.766203 1.28751i
\(19\) −7.99159 + 2.14134i −1.83340 + 0.491257i −0.998270 0.0588015i \(-0.981272\pi\)
−0.835126 + 0.550058i \(0.814605\pi\)
\(20\) −3.60650 3.60650i −0.806438 0.806438i
\(21\) −1.04530 + 1.38106i −0.228104 + 0.301373i
\(22\) −0.0915609 0.158588i −0.0195209 0.0338111i
\(23\) −2.60559 −0.543304 −0.271652 0.962396i \(-0.587570\pi\)
−0.271652 + 0.962396i \(0.587570\pi\)
\(24\) −1.43239 1.08415i −0.292385 0.221301i
\(25\) 0.695075 0.401302i 0.139015 0.0802604i
\(26\) −6.97137 + 3.12465i −1.36720 + 0.612794i
\(27\) −4.76027 + 2.08324i −0.916114 + 0.400919i
\(28\) −0.644328 + 2.40467i −0.121767 + 0.454439i
\(29\) 7.84036 + 4.52663i 1.45592 + 0.840575i 0.998807 0.0488344i \(-0.0155507\pi\)
0.457112 + 0.889409i \(0.348884\pi\)
\(30\) −5.93471 + 4.61647i −1.08352 + 0.842849i
\(31\) −0.614844 + 0.164747i −0.110429 + 0.0295894i −0.313610 0.949552i \(-0.601539\pi\)
0.203181 + 0.979141i \(0.434872\pi\)
\(32\) 7.69619 + 2.06219i 1.36051 + 0.364547i
\(33\) −0.137917 + 0.0581976i −0.0240083 + 0.0101309i
\(34\) 7.09215 + 1.90033i 1.21629 + 0.325905i
\(35\) 1.77427 + 1.02438i 0.299907 + 0.173151i
\(36\) −5.21077 + 5.35033i −0.868462 + 0.891722i
\(37\) −6.94250 1.86024i −1.14134 0.305821i −0.361850 0.932236i \(-0.617855\pi\)
−0.779490 + 0.626415i \(0.784521\pi\)
\(38\) 8.76512 + 15.1816i 1.42189 + 2.46279i
\(39\) 1.82805 + 5.97145i 0.292722 + 0.956197i
\(40\) −1.06244 + 1.84021i −0.167987 + 0.290962i
\(41\) 0.725760 0.725760i 0.113345 0.113345i −0.648160 0.761504i \(-0.724461\pi\)
0.761504 + 0.648160i \(0.224461\pi\)
\(42\) 3.39979 + 1.38199i 0.524599 + 0.213246i
\(43\) 7.34418i 1.11998i 0.828501 + 0.559988i \(0.189194\pi\)
−0.828501 + 0.559988i \(0.810806\pi\)
\(44\) −0.152138 + 0.152138i −0.0229357 + 0.0229357i
\(45\) 3.14320 + 5.28175i 0.468560 + 0.787357i
\(46\) 1.42890 + 5.33272i 0.210680 + 0.786267i
\(47\) −2.14484 + 8.00464i −0.312856 + 1.16760i 0.613112 + 0.789996i \(0.289917\pi\)
−0.925969 + 0.377600i \(0.876749\pi\)
\(48\) 1.81415 4.46291i 0.261849 0.644165i
\(49\) 1.00000i 0.142857i
\(50\) −1.20250 1.20250i −0.170059 0.170059i
\(51\) 2.26018 5.56018i 0.316488 0.778581i
\(52\) 5.66611 + 6.96159i 0.785748 + 0.965399i
\(53\) 6.66554i 0.915582i −0.889060 0.457791i \(-0.848641\pi\)
0.889060 0.457791i \(-0.151359\pi\)
\(54\) 6.87416 + 8.60013i 0.935454 + 1.17033i
\(55\) 0.0885323 + 0.153342i 0.0119377 + 0.0206767i
\(56\) 1.03716 0.138596
\(57\) 13.2028 5.57125i 1.74875 0.737930i
\(58\) 4.96478 18.5288i 0.651908 2.43295i
\(59\) −2.80217 + 10.4579i −0.364812 + 1.36150i 0.502863 + 0.864366i \(0.332280\pi\)
−0.867675 + 0.497131i \(0.834387\pi\)
\(60\) 7.04393 + 5.33143i 0.909368 + 0.688285i
\(61\) −13.5427 −1.73397 −0.866984 0.498337i \(-0.833944\pi\)
−0.866984 + 0.498337i \(0.833944\pi\)
\(62\) 0.674357 + 1.16802i 0.0856434 + 0.148339i
\(63\) 1.46554 2.61767i 0.184641 0.329795i
\(64\) 11.3195i 1.41493i
\(65\) 6.74077 3.02129i 0.836089 0.374745i
\(66\) 0.194743 + 0.250352i 0.0239712 + 0.0308162i
\(67\) −4.35616 4.35616i −0.532190 0.532190i 0.389033 0.921224i \(-0.372809\pi\)
−0.921224 + 0.389033i \(0.872809\pi\)
\(68\) 8.62673i 1.04614i
\(69\) 4.47042 0.618616i 0.538175 0.0744726i
\(70\) 1.12353 4.19307i 0.134288 0.501168i
\(71\) 4.03420 + 15.0559i 0.478772 + 1.78680i 0.606603 + 0.795005i \(0.292532\pi\)
−0.127831 + 0.991796i \(0.540802\pi\)
\(72\) 2.71494 + 1.52000i 0.319959 + 0.179134i
\(73\) −0.701151 + 0.701151i −0.0820635 + 0.0820635i −0.746947 0.664884i \(-0.768481\pi\)
0.664884 + 0.746947i \(0.268481\pi\)
\(74\) 15.2290i 1.77033i
\(75\) −1.09727 + 0.853538i −0.126701 + 0.0985581i
\(76\) 14.5642 14.5642i 1.67062 1.67062i
\(77\) 0.0432127 0.0748466i 0.00492455 0.00852956i
\(78\) 11.2189 7.01609i 1.27030 0.794416i
\(79\) −1.21564 2.10555i −0.136770 0.236892i 0.789502 0.613748i \(-0.210339\pi\)
−0.926272 + 0.376855i \(0.877005\pi\)
\(80\) −5.50425 1.47486i −0.615394 0.164894i
\(81\) 7.67260 4.70439i 0.852511 0.522710i
\(82\) −1.88338 1.08737i −0.207984 0.120080i
\(83\) 0.700439 + 0.187682i 0.0768831 + 0.0206008i 0.297056 0.954860i \(-0.403995\pi\)
−0.220172 + 0.975461i \(0.570662\pi\)
\(84\) 0.534563 4.27867i 0.0583256 0.466841i
\(85\) −6.85755 1.83748i −0.743806 0.199302i
\(86\) 15.0309 4.02752i 1.62083 0.434299i
\(87\) −14.5264 5.90491i −1.55740 0.633073i
\(88\) 0.0776280 + 0.0448185i 0.00827517 + 0.00477767i
\(89\) −2.28784 + 8.53834i −0.242511 + 0.905062i 0.732108 + 0.681189i \(0.238537\pi\)
−0.974618 + 0.223873i \(0.928130\pi\)
\(90\) 9.08615 9.32950i 0.957764 0.983416i
\(91\) −2.92221 2.11203i −0.306331 0.221401i
\(92\) 5.61757 3.24330i 0.585672 0.338138i
\(93\) 1.01577 0.428632i 0.105331 0.0444471i
\(94\) 17.5589 1.81106
\(95\) −8.47519 14.6795i −0.869536 1.50608i
\(96\) −13.6940 1.71088i −1.39764 0.174616i
\(97\) 1.72304 + 1.72304i 0.174948 + 0.174948i 0.789149 0.614201i \(-0.210522\pi\)
−0.614201 + 0.789149i \(0.710522\pi\)
\(98\) −2.04664 + 0.548397i −0.206742 + 0.0553964i
\(99\) 0.222807 0.132594i 0.0223930 0.0133262i
\(100\) −0.999038 + 1.73039i −0.0999038 + 0.173039i
\(101\) −2.93154 + 5.07757i −0.291699 + 0.505237i −0.974212 0.225637i \(-0.927554\pi\)
0.682513 + 0.730874i \(0.260887\pi\)
\(102\) −12.6192 1.57660i −1.24949 0.156107i
\(103\) 16.1099 + 9.30104i 1.58735 + 0.916458i 0.993741 + 0.111707i \(0.0356317\pi\)
0.593611 + 0.804752i \(0.297702\pi\)
\(104\) 2.19052 3.03080i 0.214798 0.297195i
\(105\) −3.28733 1.33628i −0.320811 0.130408i
\(106\) −13.6420 + 3.65536i −1.32503 + 0.355040i
\(107\) −9.04871 + 5.22427i −0.874772 + 0.505050i −0.868931 0.494933i \(-0.835192\pi\)
−0.00584063 + 0.999983i \(0.501859\pi\)
\(108\) 7.66987 10.4167i 0.738033 1.00235i
\(109\) 11.3609 + 11.3609i 1.08818 + 1.08818i 0.995716 + 0.0924621i \(0.0294737\pi\)
0.0924621 + 0.995716i \(0.470526\pi\)
\(110\) 0.265287 0.265287i 0.0252941 0.0252941i
\(111\) 12.3529 + 1.54333i 1.17249 + 0.146487i
\(112\) 0.719881 + 2.68663i 0.0680224 + 0.253863i
\(113\) 4.51163 2.60479i 0.424419 0.245038i −0.272547 0.962142i \(-0.587866\pi\)
0.696966 + 0.717104i \(0.254533\pi\)
\(114\) −18.6427 23.9662i −1.74605 2.24464i
\(115\) −1.38163 5.15633i −0.128838 0.480830i
\(116\) −22.5381 −2.09261
\(117\) −4.55412 9.81122i −0.421029 0.907047i
\(118\) 22.9402 2.11182
\(119\) 0.896874 + 3.34718i 0.0822163 + 0.306835i
\(120\) 1.38594 3.40949i 0.126518 0.311243i
\(121\) −9.51981 + 5.49627i −0.865437 + 0.499660i
\(122\) 7.42678 + 27.7171i 0.672389 + 2.50939i
\(123\) −1.07288 + 1.41750i −0.0967382 + 0.127811i
\(124\) 1.12051 1.12051i 0.100625 0.100625i
\(125\) 8.40616 + 8.40616i 0.751870 + 0.751870i
\(126\) −6.16114 1.56392i −0.548878 0.139325i
\(127\) 2.16887 1.25220i 0.192456 0.111115i −0.400676 0.916220i \(-0.631225\pi\)
0.593132 + 0.805105i \(0.297891\pi\)
\(128\) −7.77452 + 2.08318i −0.687177 + 0.184129i
\(129\) −1.74364 12.6004i −0.153519 1.10940i
\(130\) −9.88012 12.1391i −0.866544 1.06467i
\(131\) −9.19939 5.31127i −0.803754 0.464048i 0.0410279 0.999158i \(-0.486937\pi\)
−0.844782 + 0.535110i \(0.820270\pi\)
\(132\) 0.224903 0.297144i 0.0195753 0.0258630i
\(133\) −4.13675 + 7.16506i −0.358702 + 0.621290i
\(134\) −6.52662 + 11.3044i −0.563814 + 0.976554i
\(135\) −6.64677 8.31566i −0.572063 0.715698i
\(136\) −3.47156 + 0.930203i −0.297684 + 0.0797642i
\(137\) −11.0691 11.0691i −0.945700 0.945700i 0.0528998 0.998600i \(-0.483154\pi\)
−0.998600 + 0.0528998i \(0.983154\pi\)
\(138\) −3.71765 8.81012i −0.316468 0.749967i
\(139\) −7.48794 12.9695i −0.635119 1.10006i −0.986490 0.163822i \(-0.947618\pi\)
0.351371 0.936236i \(-0.385715\pi\)
\(140\) −5.10036 −0.431059
\(141\) 1.77945 14.2428i 0.149857 1.19946i
\(142\) 28.6016 16.5132i 2.40020 1.38575i
\(143\) −0.127451 0.284355i −0.0106580 0.0237790i
\(144\) −2.05296 + 8.08773i −0.171080 + 0.673978i
\(145\) −4.80056 + 17.9159i −0.398665 + 1.48784i
\(146\) 1.81952 + 1.05050i 0.150584 + 0.0869398i
\(147\) 0.237418 + 1.71570i 0.0195819 + 0.141509i
\(148\) 17.2833 4.63105i 1.42068 0.380670i
\(149\) 1.57199 + 0.421215i 0.128783 + 0.0345073i 0.322635 0.946524i \(-0.395431\pi\)
−0.193852 + 0.981031i \(0.562098\pi\)
\(150\) 2.34863 + 1.77763i 0.191764 + 0.145143i
\(151\) −2.84530 0.762397i −0.231548 0.0620430i 0.141179 0.989984i \(-0.454911\pi\)
−0.372727 + 0.927941i \(0.621577\pi\)
\(152\) −7.43132 4.29048i −0.602760 0.348004i
\(153\) −2.55771 + 10.0762i −0.206778 + 0.814614i
\(154\) −0.176882 0.0473954i −0.0142536 0.00381923i
\(155\) −0.652050 1.12938i −0.0523739 0.0907143i
\(156\) −11.3742 10.5988i −0.910662 0.848582i
\(157\) 11.0887 19.2061i 0.884972 1.53282i 0.0392267 0.999230i \(-0.487511\pi\)
0.845746 0.533586i \(-0.179156\pi\)
\(158\) −3.64265 + 3.64265i −0.289794 + 0.289794i
\(159\) 1.58252 + 11.4361i 0.125502 + 0.906940i
\(160\) 16.3238i 1.29051i
\(161\) −1.84243 + 1.84243i −0.145204 + 0.145204i
\(162\) −13.8358 13.1232i −1.08705 1.03106i
\(163\) −4.38406 16.3615i −0.343386 1.28153i −0.894487 0.447095i \(-0.852459\pi\)
0.551101 0.834439i \(-0.314208\pi\)
\(164\) −0.661325 + 2.46810i −0.0516408 + 0.192726i
\(165\) −0.188301 0.242071i −0.0146592 0.0188452i
\(166\) 1.53647i 0.119253i
\(167\) −13.5522 13.5522i −1.04870 1.04870i −0.998752 0.0499467i \(-0.984095\pi\)
−0.0499467 0.998752i \(-0.515905\pi\)
\(168\) −1.77946 + 0.246241i −0.137288 + 0.0189979i
\(169\) −12.3436 + 4.07865i −0.949508 + 0.313743i
\(170\) 15.0426i 1.15372i
\(171\) −21.3293 + 12.6932i −1.63109 + 0.970672i
\(172\) −9.14164 15.8338i −0.697044 1.20731i
\(173\) 1.26511 0.0961845 0.0480923 0.998843i \(-0.484686\pi\)
0.0480923 + 0.998843i \(0.484686\pi\)
\(174\) −4.11900 + 32.9687i −0.312261 + 2.49935i
\(175\) 0.207729 0.775256i 0.0157028 0.0586038i
\(176\) −0.0622160 + 0.232193i −0.00468971 + 0.0175022i
\(177\) 2.32481 18.6079i 0.174743 1.39865i
\(178\) 18.7296 1.40384
\(179\) 5.61976 + 9.73371i 0.420041 + 0.727532i 0.995943 0.0899867i \(-0.0286825\pi\)
−0.575902 + 0.817519i \(0.695349\pi\)
\(180\) −13.3511 7.47479i −0.995130 0.557138i
\(181\) 11.0144i 0.818695i 0.912378 + 0.409348i \(0.134244\pi\)
−0.912378 + 0.409348i \(0.865756\pi\)
\(182\) −2.72004 + 7.13896i −0.201623 + 0.529175i
\(183\) 23.2353 3.21529i 1.71760 0.237681i
\(184\) −1.91090 1.91090i −0.140873 0.140873i
\(185\) 14.7252i 1.08262i
\(186\) −1.43431 1.84387i −0.105168 0.135199i
\(187\) −0.0775127 + 0.289281i −0.00566829 + 0.0211544i
\(188\) −5.33956 19.9275i −0.389427 1.45336i
\(189\) −1.89295 + 4.83909i −0.137692 + 0.351992i
\(190\) −25.3959 + 25.3959i −1.84241 + 1.84241i
\(191\) 0.576642i 0.0417244i −0.999782 0.0208622i \(-0.993359\pi\)
0.999782 0.0208622i \(-0.00664112\pi\)
\(192\) 2.68745 + 19.4208i 0.193950 + 1.40158i
\(193\) −12.7514 + 12.7514i −0.917869 + 0.917869i −0.996874 0.0790052i \(-0.974826\pi\)
0.0790052 + 0.996874i \(0.474826\pi\)
\(194\) 2.58153 4.47135i 0.185343 0.321024i
\(195\) −10.8478 + 6.78401i −0.776830 + 0.485813i
\(196\) 1.24475 + 2.15597i 0.0889105 + 0.153998i
\(197\) −9.57625 2.56595i −0.682279 0.182816i −0.0989995 0.995087i \(-0.531564\pi\)
−0.583280 + 0.812271i \(0.698231\pi\)
\(198\) −0.393559 0.383293i −0.0279690 0.0272395i
\(199\) 2.63953 + 1.52394i 0.187112 + 0.108029i 0.590630 0.806943i \(-0.298879\pi\)
−0.403518 + 0.914972i \(0.632213\pi\)
\(200\) 0.804065 + 0.215449i 0.0568560 + 0.0152345i
\(201\) 8.50811 + 6.43965i 0.600116 + 0.454218i
\(202\) 11.9996 + 3.21529i 0.844291 + 0.226227i
\(203\) 8.74479 2.34316i 0.613764 0.164457i
\(204\) 2.04815 + 14.8009i 0.143399 + 1.03627i
\(205\) 1.82108 + 1.05140i 0.127190 + 0.0734329i
\(206\) 10.2013 38.0718i 0.710760 2.65259i
\(207\) −7.52304 + 2.12272i −0.522887 + 0.147539i
\(208\) 9.37132 + 3.57061i 0.649784 + 0.247577i
\(209\) −0.619244 + 0.357520i −0.0428340 + 0.0247302i
\(210\) −0.932130 + 7.46081i −0.0643231 + 0.514845i
\(211\) −9.03074 −0.621702 −0.310851 0.950459i \(-0.600614\pi\)
−0.310851 + 0.950459i \(0.600614\pi\)
\(212\) 8.29691 + 14.3707i 0.569834 + 0.986981i
\(213\) −10.4960 24.8736i −0.719176 1.70431i
\(214\) 15.6545 + 15.6545i 1.07012 + 1.07012i
\(215\) −14.5337 + 3.89430i −0.991192 + 0.265589i
\(216\) −5.01891 1.96329i −0.341494 0.133585i
\(217\) −0.318267 + 0.551254i −0.0216054 + 0.0374216i
\(218\) 17.0215 29.4820i 1.15284 1.99678i
\(219\) 1.03650 1.36943i 0.0700402 0.0925376i
\(220\) −0.381745 0.220401i −0.0257372 0.0148594i
\(221\) 11.6754 + 4.44849i 0.785372 + 0.299238i
\(222\) −3.61564 26.1284i −0.242666 1.75362i
\(223\) 1.33888 0.358751i 0.0896579 0.0240238i −0.213711 0.976897i \(-0.568555\pi\)
0.303369 + 0.952873i \(0.401888\pi\)
\(224\) 6.90022 3.98384i 0.461040 0.266182i
\(225\) 1.67993 1.72493i 0.111996 0.114995i
\(226\) −7.80525 7.80525i −0.519197 0.519197i
\(227\) −19.8536 + 19.8536i −1.31773 + 1.31773i −0.402163 + 0.915568i \(0.631741\pi\)
−0.915568 + 0.402163i \(0.868259\pi\)
\(228\) −21.5300 + 28.4456i −1.42586 + 1.88385i
\(229\) −4.30327 16.0600i −0.284368 1.06128i −0.949300 0.314372i \(-0.898206\pi\)
0.664932 0.746904i \(-0.268461\pi\)
\(230\) −9.79549 + 5.65543i −0.645895 + 0.372908i
\(231\) −0.0563702 + 0.138674i −0.00370888 + 0.00912408i
\(232\) 2.43023 + 9.06975i 0.159553 + 0.595458i
\(233\) 8.85947 0.580403 0.290202 0.956966i \(-0.406278\pi\)
0.290202 + 0.956966i \(0.406278\pi\)
\(234\) −17.5826 + 14.7011i −1.14941 + 0.961042i
\(235\) −16.9781 −1.10753
\(236\) −6.97600 26.0348i −0.454099 1.69472i
\(237\) 2.58557 + 3.32387i 0.167951 + 0.215909i
\(238\) 6.35864 3.67117i 0.412170 0.237966i
\(239\) −2.16902 8.09489i −0.140302 0.523615i −0.999920 0.0126765i \(-0.995965\pi\)
0.859618 0.510938i \(-0.170702\pi\)
\(240\) 9.79382 + 1.22361i 0.632188 + 0.0789836i
\(241\) 0.922859 0.922859i 0.0594466 0.0594466i −0.676759 0.736205i \(-0.736616\pi\)
0.736205 + 0.676759i \(0.236616\pi\)
\(242\) 16.4695 + 16.4695i 1.05870 + 1.05870i
\(243\) −12.0470 + 9.89294i −0.772814 + 0.634632i
\(244\) 29.1976 16.8573i 1.86919 1.07918i
\(245\) 1.97895 0.530257i 0.126430 0.0338769i
\(246\) 3.48947 + 1.41845i 0.222481 + 0.0904371i
\(247\) 12.2009 + 27.2213i 0.776324 + 1.73205i
\(248\) −0.571739 0.330094i −0.0363055 0.0209610i
\(249\) −1.24630 0.155709i −0.0789813 0.00986767i
\(250\) 12.5945 21.8143i 0.796547 1.37966i
\(251\) 10.6646 18.4717i 0.673146 1.16592i −0.303861 0.952717i \(-0.598276\pi\)
0.977007 0.213207i \(-0.0683910\pi\)
\(252\) 0.0986833 + 7.46783i 0.00621646 + 0.470429i
\(253\) −0.217516 + 0.0582833i −0.0136751 + 0.00366424i
\(254\) −3.75221 3.75221i −0.235434 0.235434i
\(255\) 12.2018 + 1.52445i 0.764104 + 0.0954648i
\(256\) −2.79241 4.83660i −0.174526 0.302287i
\(257\) 19.1467 1.19434 0.597169 0.802116i \(-0.296292\pi\)
0.597169 + 0.802116i \(0.296292\pi\)
\(258\) −24.8324 + 10.4786i −1.54600 + 0.652372i
\(259\) −6.22447 + 3.59370i −0.386770 + 0.223302i
\(260\) −10.7721 + 14.9043i −0.668059 + 0.924328i
\(261\) 26.3250 + 6.68222i 1.62947 + 0.413619i
\(262\) −5.82537 + 21.7406i −0.359892 + 1.34314i
\(263\) −8.33457 4.81197i −0.513932 0.296719i 0.220517 0.975383i \(-0.429226\pi\)
−0.734448 + 0.678665i \(0.762559\pi\)
\(264\) −0.143827 0.0584649i −0.00885195 0.00359827i
\(265\) 13.1907 3.53445i 0.810300 0.217119i
\(266\) 16.9329 + 4.53716i 1.03822 + 0.278191i
\(267\) 1.89809 15.1924i 0.116161 0.929761i
\(268\) 14.8141 + 3.96942i 0.904913 + 0.242471i
\(269\) 0.0205416 + 0.0118597i 0.00125244 + 0.000723098i 0.500626 0.865664i \(-0.333103\pi\)
−0.499374 + 0.866387i \(0.666436\pi\)
\(270\) −13.3741 + 18.1639i −0.813923 + 1.10542i
\(271\) −11.1441 2.98605i −0.676955 0.181389i −0.0960691 0.995375i \(-0.530627\pi\)
−0.580886 + 0.813985i \(0.697294\pi\)
\(272\) −4.81914 8.34700i −0.292203 0.506111i
\(273\) 5.51508 + 2.92983i 0.333788 + 0.177321i
\(274\) −16.5843 + 28.7249i −1.00189 + 1.73533i
\(275\) 0.0490487 0.0490487i 0.00295775 0.00295775i
\(276\) −8.86805 + 6.89826i −0.533794 + 0.415226i
\(277\) 10.8472i 0.651745i −0.945414 0.325873i \(-0.894342\pi\)
0.945414 0.325873i \(-0.105658\pi\)
\(278\) −22.4376 + 22.4376i −1.34572 + 1.34572i
\(279\) −1.64100 + 0.976568i −0.0982442 + 0.0584656i
\(280\) 0.549962 + 2.05248i 0.0328665 + 0.122659i
\(281\) 6.88843 25.7080i 0.410929 1.53361i −0.381923 0.924194i \(-0.624738\pi\)
0.792852 0.609414i \(-0.208595\pi\)
\(282\) −30.1258 + 4.16880i −1.79396 + 0.248248i
\(283\) 1.76822i 0.105110i 0.998618 + 0.0525550i \(0.0167365\pi\)
−0.998618 + 0.0525550i \(0.983264\pi\)
\(284\) −27.4383 27.4383i −1.62817 1.62817i
\(285\) 18.0261 + 23.1734i 1.06777 + 1.37267i
\(286\) −0.512080 + 0.416787i −0.0302799 + 0.0246451i
\(287\) 1.02638i 0.0605852i
\(288\) 23.9010 0.315838i 1.40838 0.0186109i
\(289\) 2.49600 + 4.32320i 0.146824 + 0.254306i
\(290\) 39.3001 2.30778
\(291\) −3.36530 2.54713i −0.197277 0.149316i
\(292\) 0.638901 2.38441i 0.0373889 0.139537i
\(293\) 2.61100 9.74439i 0.152536 0.569273i −0.846767 0.531963i \(-0.821454\pi\)
0.999304 0.0373100i \(-0.0118789\pi\)
\(294\) 3.38123 1.42680i 0.197197 0.0832125i
\(295\) −22.1814 −1.29145
\(296\) −3.72725 6.45578i −0.216642 0.375235i
\(297\) −0.350791 + 0.280390i −0.0203549 + 0.0162699i
\(298\) 3.44831i 0.199755i
\(299\) 1.49271 + 9.27526i 0.0863254 + 0.536402i
\(300\) 1.30323 3.20602i 0.0752418 0.185099i
\(301\) 5.19312 + 5.19312i 0.299326 + 0.299326i
\(302\) 6.24142i 0.359154i
\(303\) 3.82413 9.40759i 0.219691 0.540452i
\(304\) 5.95594 22.2279i 0.341596 1.27486i
\(305\) −7.18112 26.8003i −0.411190 1.53458i
\(306\) 22.0251 0.291049i 1.25909 0.0166382i
\(307\) 0.510076 0.510076i 0.0291116 0.0291116i −0.692401 0.721513i \(-0.743447\pi\)
0.721513 + 0.692401i \(0.243447\pi\)
\(308\) 0.215156i 0.0122596i
\(309\) −29.8480 12.1330i −1.69799 0.690224i
\(310\) −1.95387 + 1.95387i −0.110972 + 0.110972i
\(311\) 1.51475 2.62362i 0.0858935 0.148772i −0.819878 0.572538i \(-0.805959\pi\)
0.905772 + 0.423766i \(0.139292\pi\)
\(312\) −3.03870 + 5.72003i −0.172033 + 0.323833i
\(313\) 0.812409 + 1.40713i 0.0459201 + 0.0795359i 0.888072 0.459705i \(-0.152045\pi\)
−0.842152 + 0.539241i \(0.818711\pi\)
\(314\) −45.3891 12.1620i −2.56146 0.686340i
\(315\) 5.95734 + 1.51219i 0.335658 + 0.0852020i
\(316\) 5.24174 + 3.02632i 0.294871 + 0.170244i
\(317\) −11.6958 3.13389i −0.656904 0.176017i −0.0850554 0.996376i \(-0.527107\pi\)
−0.571848 + 0.820359i \(0.693773\pi\)
\(318\) 22.5377 9.51037i 1.26385 0.533315i
\(319\) 0.755772 + 0.202508i 0.0423151 + 0.0113383i
\(320\) 22.4006 6.00222i 1.25223 0.335534i
\(321\) 14.2845 11.1116i 0.797286 0.620190i
\(322\) 4.78119 + 2.76042i 0.266445 + 0.153832i
\(323\) 7.42029 27.6929i 0.412876 1.54087i
\(324\) −10.6861 + 19.6929i −0.593671 + 1.09405i
\(325\) −1.82673 2.24439i −0.101329 0.124496i
\(326\) −31.0820 + 17.9452i −1.72147 + 0.993894i
\(327\) −22.1892 16.7947i −1.22707 0.928746i
\(328\) 1.06452 0.0587783
\(329\) 4.14350 + 7.17676i 0.228439 + 0.395668i
\(330\) −0.392169 + 0.518137i −0.0215882 + 0.0285225i
\(331\) −19.2226 19.2226i −1.05657 1.05657i −0.998301 0.0582690i \(-0.981442\pi\)
−0.0582690 0.998301i \(-0.518558\pi\)
\(332\) −1.74374 + 0.467233i −0.0957001 + 0.0256428i
\(333\) −21.5603 + 0.284908i −1.18150 + 0.0156129i
\(334\) −20.3045 + 35.1685i −1.11101 + 1.92433i
\(335\) 6.31073 10.9305i 0.344792 0.597197i
\(336\) −1.87296 4.43855i −0.102178 0.242143i
\(337\) 4.80437 + 2.77380i 0.261711 + 0.151099i 0.625115 0.780533i \(-0.285052\pi\)
−0.363404 + 0.931632i \(0.618386\pi\)
\(338\) 15.1168 + 23.0263i 0.822243 + 1.25246i
\(339\) −7.12219 + 5.54019i −0.386824 + 0.300902i
\(340\) 17.0718 4.57438i 0.925850 0.248081i
\(341\) −0.0476424 + 0.0275063i −0.00257998 + 0.00148955i
\(342\) 37.6754 + 36.6927i 2.03725 + 1.98411i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −5.38610 + 5.38610i −0.290399 + 0.290399i
\(345\) 3.59468 + 8.51869i 0.193531 + 0.458631i
\(346\) −0.693782 2.58923i −0.0372980 0.139198i
\(347\) 6.85407 3.95720i 0.367946 0.212434i −0.304615 0.952476i \(-0.598528\pi\)
0.672561 + 0.740042i \(0.265194\pi\)
\(348\) 38.6686 5.35095i 2.07285 0.286841i
\(349\) 2.85617 + 10.6594i 0.152887 + 0.570584i 0.999277 + 0.0380194i \(0.0121049\pi\)
−0.846390 + 0.532564i \(0.821228\pi\)
\(350\) −1.70059 −0.0909004
\(351\) 10.1429 + 15.7519i 0.541387 + 0.840774i
\(352\) 0.688611 0.0367031
\(353\) 4.57750 + 17.0835i 0.243636 + 0.909262i 0.974064 + 0.226272i \(0.0726539\pi\)
−0.730428 + 0.682989i \(0.760679\pi\)
\(354\) −39.3586 + 5.44643i −2.09188 + 0.289475i
\(355\) −27.6555 + 15.9669i −1.46780 + 0.847437i
\(356\) −5.69557 21.2561i −0.301864 1.12657i
\(357\) −2.33345 5.52983i −0.123499 0.292669i
\(358\) 16.8396 16.8396i 0.890000 0.890000i
\(359\) 13.3372 + 13.3372i 0.703911 + 0.703911i 0.965248 0.261337i \(-0.0841634\pi\)
−0.261337 + 0.965248i \(0.584163\pi\)
\(360\) −1.56838 + 6.17872i −0.0826609 + 0.325647i
\(361\) 42.8257 24.7254i 2.25398 1.30134i
\(362\) 22.5426 6.04027i 1.18481 0.317470i
\(363\) 15.0282 11.6901i 0.788778 0.613573i
\(364\) 8.92913 + 0.916048i 0.468014 + 0.0480140i
\(365\) −1.75933 1.01575i −0.0920875 0.0531667i
\(366\) −19.3227 45.7911i −1.01001 2.39354i
\(367\) 9.52163 16.4919i 0.497025 0.860873i −0.502969 0.864304i \(-0.667759\pi\)
0.999994 + 0.00343174i \(0.00109236\pi\)
\(368\) 3.62361 6.27627i 0.188894 0.327173i
\(369\) 1.50420 2.68672i 0.0783055 0.139865i
\(370\) −30.1373 + 8.07527i −1.56676 + 0.419813i
\(371\) −4.71325 4.71325i −0.244700 0.244700i
\(372\) −1.65644 + 2.18850i −0.0858823 + 0.113468i
\(373\) 6.76062 + 11.7097i 0.350051 + 0.606307i 0.986258 0.165212i \(-0.0528308\pi\)
−0.636207 + 0.771519i \(0.719497\pi\)
\(374\) 0.634564 0.0328125
\(375\) −16.4183 12.4267i −0.847835 0.641712i
\(376\) −7.44346 + 4.29748i −0.383867 + 0.221626i
\(377\) 11.6220 30.5029i 0.598566 1.57098i
\(378\) 10.9420 + 1.22045i 0.562795 + 0.0627731i
\(379\) −5.19090 + 19.3727i −0.266639 + 0.995108i 0.694601 + 0.719395i \(0.255581\pi\)
−0.961240 + 0.275714i \(0.911086\pi\)
\(380\) 36.5444 + 21.0989i 1.87469 + 1.08235i
\(381\) −3.42384 + 2.66333i −0.175409 + 0.136447i
\(382\) −1.18018 + 0.316229i −0.0603833 + 0.0161797i
\(383\) 17.5580 + 4.70466i 0.897174 + 0.240397i 0.677802 0.735244i \(-0.262933\pi\)
0.219372 + 0.975641i \(0.429599\pi\)
\(384\) 12.8442 5.41993i 0.655452 0.276584i
\(385\) 0.171031 + 0.0458277i 0.00871656 + 0.00233559i
\(386\) 33.0905 + 19.1048i 1.68426 + 0.972410i
\(387\) 5.98314 + 21.2046i 0.304140 + 1.07789i
\(388\) −5.85955 1.57006i −0.297474 0.0797078i
\(389\) 14.0735 + 24.3759i 0.713553 + 1.23591i 0.963515 + 0.267654i \(0.0862484\pi\)
−0.249962 + 0.968256i \(0.580418\pi\)
\(390\) 19.8334 + 18.4813i 1.00430 + 0.935839i
\(391\) 4.51452 7.81938i 0.228309 0.395443i
\(392\) 0.733384 0.733384i 0.0370415 0.0370415i
\(393\) 17.0444 + 6.92845i 0.859776 + 0.349494i
\(394\) 21.0063i 1.05828i
\(395\) 3.52216 3.52216i 0.177219 0.177219i
\(396\) −0.315319 + 0.563206i −0.0158454 + 0.0283022i
\(397\) −3.48836 13.0187i −0.175076 0.653391i −0.996539 0.0831296i \(-0.973508\pi\)
0.821463 0.570262i \(-0.193158\pi\)
\(398\) 1.67144 6.23791i 0.0837818 0.312678i
\(399\) 5.39631 13.2752i 0.270153 0.664594i
\(400\) 2.23237i 0.111618i
\(401\) −19.9817 19.9817i −0.997840 0.997840i 0.00215756 0.999998i \(-0.499313\pi\)
−0.999998 + 0.00215756i \(0.999313\pi\)
\(402\) 8.51385 20.9446i 0.424632 1.04462i
\(403\) 0.938693 + 2.09431i 0.0467596 + 0.104325i
\(404\) 14.5961i 0.726182i
\(405\) 13.3782 + 12.6891i 0.664767 + 0.630527i
\(406\) −9.59123 16.6125i −0.476005 0.824464i
\(407\) −0.621175 −0.0307905
\(408\) 5.73532 2.42016i 0.283941 0.119816i
\(409\) 3.11780 11.6358i 0.154165 0.575352i −0.845010 0.534750i \(-0.820406\pi\)
0.999175 0.0406022i \(-0.0129276\pi\)
\(410\) 1.15317 4.30368i 0.0569509 0.212544i
\(411\) 21.6194 + 16.3633i 1.06640 + 0.807143i
\(412\) −46.3098 −2.28152
\(413\) 5.41338 + 9.37626i 0.266375 + 0.461375i
\(414\) 8.47007 + 14.2329i 0.416281 + 0.699509i
\(415\) 1.48565i 0.0729277i
\(416\) 2.93184 28.5779i 0.143745 1.40115i
\(417\) 15.9263 + 20.4740i 0.779912 + 1.00262i
\(418\) 1.07131 + 1.07131i 0.0523994 + 0.0523994i
\(419\) 9.37605i 0.458050i −0.973421 0.229025i \(-0.926446\pi\)
0.973421 0.229025i \(-0.0735538\pi\)
\(420\) 8.75070 1.21092i 0.426991 0.0590869i
\(421\) 2.09747 7.82785i 0.102224 0.381506i −0.895791 0.444475i \(-0.853390\pi\)
0.998015 + 0.0629690i \(0.0200569\pi\)
\(422\) 4.95243 + 18.4827i 0.241081 + 0.899725i
\(423\) 0.328496 + 24.8589i 0.0159720 + 1.20868i
\(424\) 4.88840 4.88840i 0.237401 0.237401i
\(425\) 2.78123i 0.134909i
\(426\) −45.1513 + 35.1222i −2.18759 + 1.70168i
\(427\) −9.57615 + 9.57615i −0.463422 + 0.463422i
\(428\) 13.0058 22.5267i 0.628659 1.08887i
\(429\) 0.286179 + 0.457609i 0.0138169 + 0.0220936i
\(430\) 15.9405 + 27.6097i 0.768719 + 1.33146i
\(431\) −13.0314 3.49175i −0.627699 0.168191i −0.0690737 0.997612i \(-0.522004\pi\)
−0.558625 + 0.829420i \(0.688671\pi\)
\(432\) 1.60209 14.3635i 0.0770804 0.691066i
\(433\) 11.9734 + 6.91287i 0.575407 + 0.332211i 0.759306 0.650734i \(-0.225539\pi\)
−0.183899 + 0.982945i \(0.558872\pi\)
\(434\) 1.30276 + 0.349073i 0.0625344 + 0.0167560i
\(435\) 3.98275 31.8781i 0.190958 1.52844i
\(436\) −38.6352 10.3523i −1.85029 0.495784i
\(437\) 20.8228 5.57946i 0.996091 0.266902i
\(438\) −3.37115 1.37035i −0.161080 0.0654781i
\(439\) 30.4267 + 17.5669i 1.45219 + 0.838421i 0.998605 0.0527926i \(-0.0168122\pi\)
0.453583 + 0.891214i \(0.350146\pi\)
\(440\) −0.0475307 + 0.177387i −0.00226594 + 0.00845659i
\(441\) −0.814679 2.88726i −0.0387942 0.137489i
\(442\) 2.70173 26.3349i 0.128508 1.25262i
\(443\) −0.747115 + 0.431347i −0.0354965 + 0.0204939i −0.517643 0.855597i \(-0.673191\pi\)
0.482147 + 0.876090i \(0.339857\pi\)
\(444\) −28.5535 + 12.0489i −1.35509 + 0.571814i
\(445\) −18.1100 −0.858499
\(446\) −1.46847 2.54347i −0.0695342 0.120437i
\(447\) −2.79708 0.349458i −0.132297 0.0165288i
\(448\) −8.00407 8.00407i −0.378157 0.378157i
\(449\) 7.15037 1.91594i 0.337447 0.0904186i −0.0861165 0.996285i \(-0.527446\pi\)
0.423563 + 0.905866i \(0.360779\pi\)
\(450\) −4.45158 2.49228i −0.209850 0.117487i
\(451\) 0.0443526 0.0768210i 0.00208848 0.00361736i
\(452\) −6.48461 + 11.2317i −0.305011 + 0.528294i
\(453\) 5.06270 + 0.632518i 0.237866 + 0.0297183i
\(454\) 51.5210 + 29.7456i 2.41800 + 1.39603i
\(455\) 2.63007 6.90282i 0.123300 0.323609i
\(456\) 13.7686 + 5.59684i 0.644772 + 0.262096i
\(457\) 29.3481 7.86379i 1.37284 0.367853i 0.504328 0.863512i \(-0.331740\pi\)
0.868517 + 0.495660i \(0.165074\pi\)
\(458\) −30.5093 + 17.6145i −1.42560 + 0.823073i
\(459\) 1.99598 17.8950i 0.0931644 0.835268i
\(460\) 9.39708 + 9.39708i 0.438141 + 0.438141i
\(461\) −28.0420 + 28.0420i −1.30605 + 1.30605i −0.381803 + 0.924244i \(0.624697\pi\)
−0.924244 + 0.381803i \(0.875303\pi\)
\(462\) 0.314730 + 0.0393213i 0.0146425 + 0.00182939i
\(463\) −2.38186 8.88921i −0.110694 0.413117i 0.888235 0.459390i \(-0.151932\pi\)
−0.998929 + 0.0462736i \(0.985265\pi\)
\(464\) −21.8072 + 12.5904i −1.01238 + 0.584495i
\(465\) 1.38686 + 1.78288i 0.0643141 + 0.0826790i
\(466\) −4.85851 18.1322i −0.225066 0.839958i
\(467\) 3.70856 0.171612 0.0858059 0.996312i \(-0.472654\pi\)
0.0858059 + 0.996312i \(0.472654\pi\)
\(468\) 22.0310 + 15.4839i 1.01838 + 0.715744i
\(469\) −6.16055 −0.284468
\(470\) 9.31071 + 34.7480i 0.429471 + 1.60281i
\(471\) −14.4650 + 35.5847i −0.666510 + 1.63965i
\(472\) −9.72469 + 5.61455i −0.447615 + 0.258431i
\(473\) 0.164279 + 0.613096i 0.00755354 + 0.0281902i
\(474\) 5.38487 7.11454i 0.247335 0.326781i
\(475\) −4.69543 + 4.69543i −0.215441 + 0.215441i
\(476\) −6.10002 6.10002i −0.279594 0.279594i
\(477\) −5.43027 19.2452i −0.248635 0.881176i
\(478\) −15.3779 + 8.87842i −0.703367 + 0.406089i
\(479\) 10.8052 2.89525i 0.493703 0.132287i −0.00337279 0.999994i \(-0.501074\pi\)
0.497076 + 0.867707i \(0.334407\pi\)
\(480\) −3.87558 28.0068i −0.176895 1.27833i
\(481\) −2.64472 + 25.7792i −0.120589 + 1.17543i
\(482\) −2.39486 1.38267i −0.109083 0.0629790i
\(483\) 2.72364 3.59849i 0.123930 0.163737i
\(484\) 13.6829 23.6995i 0.621951 1.07725i
\(485\) −2.49614 + 4.32344i −0.113344 + 0.196318i
\(486\) 26.8539 + 19.2306i 1.21812 + 0.872319i
\(487\) 8.01878 2.14863i 0.363366 0.0973636i −0.0725166 0.997367i \(-0.523103\pi\)
0.435882 + 0.900004i \(0.356436\pi\)
\(488\) −9.93201 9.93201i −0.449601 0.449601i
\(489\) 11.4063 + 27.0306i 0.515809 + 1.22237i
\(490\) −2.17049 3.75941i −0.0980529 0.169833i
\(491\) 9.75343 0.440166 0.220083 0.975481i \(-0.429367\pi\)
0.220083 + 0.975481i \(0.429367\pi\)
\(492\) 0.548665 4.39153i 0.0247357 0.197986i
\(493\) −27.1689 + 15.6859i −1.22362 + 0.706459i
\(494\) 49.0214 39.8990i 2.20558 1.79514i
\(495\) 0.380541 + 0.370615i 0.0171040 + 0.0166579i
\(496\) 0.458228 1.71013i 0.0205751 0.0767872i
\(497\) 13.4987 + 7.79348i 0.605500 + 0.349585i
\(498\) 0.364787 + 2.63613i 0.0163465 + 0.118128i
\(499\) 22.7070 6.08433i 1.01651 0.272372i 0.288160 0.957582i \(-0.406956\pi\)
0.728345 + 0.685210i \(0.240290\pi\)
\(500\) −28.5869 7.65985i −1.27845 0.342559i
\(501\) 26.4690 + 20.0340i 1.18255 + 0.895051i
\(502\) −43.6535 11.6969i −1.94835 0.522059i
\(503\) 5.99942 + 3.46376i 0.267501 + 0.154442i 0.627751 0.778414i \(-0.283975\pi\)
−0.360251 + 0.932856i \(0.617309\pi\)
\(504\) 2.99456 0.844953i 0.133388 0.0376372i
\(505\) −11.6027 3.10893i −0.516313 0.138346i
\(506\) 0.238571 + 0.413216i 0.0106058 + 0.0183697i
\(507\) 20.2096 9.92835i 0.897540 0.440934i
\(508\) −3.11734 + 5.39939i −0.138310 + 0.239559i
\(509\) 9.02272 9.02272i 0.399925 0.399925i −0.478282 0.878207i \(-0.658740\pi\)
0.878207 + 0.478282i \(0.158740\pi\)
\(510\) −3.57140 25.8087i −0.158144 1.14283i
\(511\) 0.991577i 0.0438648i
\(512\) −19.7501 + 19.7501i −0.872841 + 0.872841i
\(513\) 33.5812 26.8417i 1.48264 1.18509i
\(514\) −10.5000 39.1865i −0.463134 1.72844i
\(515\) −9.86388 + 36.8125i −0.434654 + 1.62215i
\(516\) 19.4436 + 24.9957i 0.855955 + 1.10037i
\(517\) 0.716208i 0.0314988i
\(518\) 10.7685 + 10.7685i 0.473141 + 0.473141i
\(519\) −2.17055 + 0.300360i −0.0952766 + 0.0131844i
\(520\) 7.15933 + 2.72781i 0.313957 + 0.119622i
\(521\) 25.8029i 1.13045i 0.824938 + 0.565223i \(0.191210\pi\)
−0.824938 + 0.565223i \(0.808790\pi\)
\(522\) −0.760390 57.5423i −0.0332814 2.51856i
\(523\) 13.9549 + 24.1706i 0.610206 + 1.05691i 0.991205 + 0.132332i \(0.0422465\pi\)
−0.381000 + 0.924575i \(0.624420\pi\)
\(524\) 26.4447 1.15524
\(525\) −0.172341 + 1.37943i −0.00752159 + 0.0602031i
\(526\) −5.27773 + 19.6968i −0.230120 + 0.858820i
\(527\) 0.570890 2.13059i 0.0248684 0.0928100i
\(528\) 0.0516172 0.413146i 0.00224635 0.0179799i
\(529\) −16.2109 −0.704821
\(530\) −14.4675 25.0585i −0.628429 1.08847i
\(531\) 0.429172 + 32.4775i 0.0186245 + 1.40940i
\(532\) 20.5968i 0.892986i
\(533\) −2.99930 2.16774i −0.129914 0.0938954i
\(534\) −32.1344 + 4.44675i −1.39059 + 0.192430i
\(535\) −15.1367 15.1367i −0.654416 0.654416i
\(536\) 6.38948i 0.275983i
\(537\) −11.9528 15.3659i −0.515801 0.663088i
\(538\) 0.0130076 0.0485451i 0.000560799 0.00209293i
\(539\) −0.0223685 0.0834806i −0.000963482 0.00359576i
\(540\) 24.6811 + 9.65471i 1.06211 + 0.415473i
\(541\) −17.9177 + 17.9177i −0.770342 + 0.770342i −0.978166 0.207824i \(-0.933362\pi\)
0.207824 + 0.978166i \(0.433362\pi\)
\(542\) 24.4455i 1.05002i
\(543\) −2.61503 18.8975i −0.112222 0.810968i
\(544\) −19.5233 + 19.5233i −0.837053 + 0.837053i
\(545\) −16.4584 + 28.5068i −0.705002 + 1.22110i
\(546\) 2.97186 12.8941i 0.127184 0.551817i
\(547\) 7.23721 + 12.5352i 0.309441 + 0.535967i 0.978240 0.207476i \(-0.0665249\pi\)
−0.668800 + 0.743443i \(0.733192\pi\)
\(548\) 37.6429 + 10.0864i 1.60803 + 0.430869i
\(549\) −39.1014 + 11.0330i −1.66881 + 0.470875i
\(550\) −0.127283 0.0734871i −0.00542739 0.00313350i
\(551\) −72.3500 19.3861i −3.08221 0.825877i
\(552\) 3.73222 + 2.82485i 0.158854 + 0.120234i
\(553\) −2.34843 0.629260i −0.0998654 0.0267589i
\(554\) −22.2004 + 5.94857i −0.943203 + 0.252731i
\(555\) 3.49604 + 25.2641i 0.148399 + 1.07240i
\(556\) 32.2875 + 18.6412i 1.36929 + 0.790562i
\(557\) −6.40654 + 23.9095i −0.271454 + 1.01308i 0.686727 + 0.726916i \(0.259047\pi\)
−0.958181 + 0.286164i \(0.907620\pi\)
\(558\) 2.89861 + 2.82300i 0.122708 + 0.119507i
\(559\) 26.1434 4.20737i 1.10575 0.177953i
\(560\) −4.93498 + 2.84921i −0.208541 + 0.120401i
\(561\) 0.0643080 0.514724i 0.00271508 0.0217316i
\(562\) −56.3927 −2.37878
\(563\) −16.3754 28.3630i −0.690140 1.19536i −0.971792 0.235841i \(-0.924216\pi\)
0.281652 0.959517i \(-0.409118\pi\)
\(564\) 13.8922 + 32.9219i 0.584969 + 1.38626i
\(565\) 7.54706 + 7.54706i 0.317507 + 0.317507i
\(566\) 3.61892 0.969687i 0.152115 0.0407590i
\(567\) 2.09884 8.75185i 0.0881431 0.367543i
\(568\) −8.08310 + 14.0003i −0.339159 + 0.587441i
\(569\) −14.1869 + 24.5725i −0.594747 + 1.03013i 0.398835 + 0.917023i \(0.369415\pi\)
−0.993582 + 0.113110i \(0.963919\pi\)
\(570\) 37.5423 49.6012i 1.57247 2.07756i
\(571\) −28.9705 16.7261i −1.21238 0.699966i −0.249100 0.968478i \(-0.580135\pi\)
−0.963276 + 0.268512i \(0.913468\pi\)
\(572\) 0.628730 + 0.454415i 0.0262885 + 0.0190001i
\(573\) 0.136905 + 0.989346i 0.00571931 + 0.0413305i
\(574\) −2.10063 + 0.562863i −0.0876788 + 0.0234935i
\(575\) −1.81108 + 1.04563i −0.0755274 + 0.0436058i
\(576\) −9.22172 32.6823i −0.384238 1.36176i
\(577\) 5.90389 + 5.90389i 0.245782 + 0.245782i 0.819237 0.573455i \(-0.194397\pi\)
−0.573455 + 0.819237i \(0.694397\pi\)
\(578\) 7.47926 7.47926i 0.311096 0.311096i
\(579\) 18.8502 24.9051i 0.783389 1.03502i
\(580\) −11.9510 44.6016i −0.496237 1.85198i
\(581\) 0.627996 0.362574i 0.0260537 0.0150421i
\(582\) −3.36756 + 8.28441i −0.139590 + 0.343400i
\(583\) −0.149098 0.556443i −0.00617502 0.0230455i
\(584\) −1.02843 −0.0425565
\(585\) 17.0010 14.2148i 0.702905 0.587711i
\(586\) −21.3752 −0.883000
\(587\) 1.99661 + 7.45144i 0.0824088 + 0.307554i 0.994811 0.101741i \(-0.0324413\pi\)
−0.912402 + 0.409295i \(0.865775\pi\)
\(588\) −2.64748 3.40347i −0.109180 0.140357i
\(589\) 4.56080 2.63318i 0.187925 0.108498i
\(590\) 12.1642 + 45.3974i 0.500793 + 1.86898i
\(591\) 17.0392 + 2.12882i 0.700899 + 0.0875681i
\(592\) 14.1358 14.1358i 0.580980 0.580980i
\(593\) −16.6688 16.6688i −0.684505 0.684505i 0.276507 0.961012i \(-0.410823\pi\)
−0.961012 + 0.276507i \(0.910823\pi\)
\(594\) 0.766231 + 0.564179i 0.0314388 + 0.0231485i
\(595\) −6.14831 + 3.54973i −0.252056 + 0.145525i
\(596\) −3.91347 + 1.04861i −0.160302 + 0.0429528i
\(597\) −4.89046 1.98794i −0.200153 0.0813612i
\(598\) 18.1646 8.14156i 0.742804 0.332933i
\(599\) −6.73726 3.88976i −0.275277 0.158931i 0.356006 0.934484i \(-0.384138\pi\)
−0.631283 + 0.775552i \(0.717471\pi\)
\(600\) −1.43069 0.178746i −0.0584075 0.00729726i
\(601\) −20.8155 + 36.0535i −0.849083 + 1.47065i 0.0329453 + 0.999457i \(0.489511\pi\)
−0.882028 + 0.471197i \(0.843822\pi\)
\(602\) 7.78058 13.4764i 0.317113 0.549255i
\(603\) −16.1263 9.02853i −0.656713 0.367670i
\(604\) 7.08337 1.89798i 0.288218 0.0772278i
\(605\) −15.9248 15.9248i −0.647433 0.647433i
\(606\) −21.3511 2.66755i −0.867331 0.108362i
\(607\) −21.2440 36.7957i −0.862267 1.49349i −0.869736 0.493518i \(-0.835711\pi\)
0.00746854 0.999972i \(-0.497623\pi\)
\(608\) −65.9207 −2.67344
\(609\) −14.4471 + 6.09633i −0.585427 + 0.247036i
\(610\) −50.9126 + 29.3944i −2.06139 + 1.19014i
\(611\) 29.7232 + 3.04934i 1.20247 + 0.123363i
\(612\) −7.02801 24.9077i −0.284091 1.00683i
\(613\) 8.42018 31.4245i 0.340088 1.26922i −0.558159 0.829734i \(-0.688492\pi\)
0.898247 0.439491i \(-0.144841\pi\)
\(614\) −1.32367 0.764221i −0.0534190 0.0308414i
\(615\) −3.37405 1.37153i −0.136055 0.0553055i
\(616\) 0.0865828 0.0231998i 0.00348852 0.000934746i
\(617\) 31.1444 + 8.34512i 1.25383 + 0.335962i 0.823814 0.566861i \(-0.191842\pi\)
0.430013 + 0.902823i \(0.358509\pi\)
\(618\) −8.46346 + 67.7419i −0.340450 + 2.72498i
\(619\) −14.2879 3.82843i −0.574279 0.153878i −0.0400205 0.999199i \(-0.512742\pi\)
−0.534258 + 0.845321i \(0.679409\pi\)
\(620\) 2.81160 + 1.62328i 0.112916 + 0.0651923i
\(621\) 12.4033 5.42806i 0.497728 0.217821i
\(622\) −6.20030 1.66137i −0.248609 0.0666147i
\(623\) 4.41977 + 7.65527i 0.177074 + 0.306702i
\(624\) −16.9261 3.90117i −0.677587 0.156172i
\(625\) −10.1714 + 17.6174i −0.406856 + 0.704696i
\(626\) 2.43438 2.43438i 0.0972975 0.0972975i
\(627\) 0.977555 0.760418i 0.0390398 0.0303682i
\(628\) 55.2104i 2.20313i
\(629\) 17.6113 17.6113i 0.702210 0.702210i
\(630\) −0.172076 13.0218i −0.00685569 0.518802i
\(631\) −5.50144 20.5317i −0.219009 0.817353i −0.984717 0.174164i \(-0.944278\pi\)
0.765708 0.643189i \(-0.222389\pi\)
\(632\) 0.652644 2.43570i 0.0259608 0.0968870i
\(633\) 15.4941 2.14406i 0.615834 0.0852189i
\(634\) 25.6558i 1.01892i
\(635\) 3.62809 + 3.62809i 0.143976 + 0.143976i
\(636\) −17.6469 22.6859i −0.699744 0.899556i
\(637\) −3.55975 + 0.572885i −0.141042 + 0.0226985i
\(638\) 1.65785i 0.0656350i
\(639\) 23.9135 + 40.1837i 0.946003 + 1.58964i
\(640\) −8.24499 14.2807i −0.325912 0.564496i
\(641\) 23.0797 0.911593 0.455796 0.890084i \(-0.349355\pi\)
0.455796 + 0.890084i \(0.349355\pi\)
\(642\) −30.5752 23.1418i −1.20670 0.913334i
\(643\) −9.03967 + 33.7365i −0.356490 + 1.33044i 0.522110 + 0.852878i \(0.325145\pi\)
−0.878599 + 0.477559i \(0.841522\pi\)
\(644\) 1.67886 6.26558i 0.0661563 0.246899i
\(645\) 24.0110 10.1320i 0.945430 0.398948i
\(646\) −60.7468 −2.39005
\(647\) −11.8814 20.5792i −0.467106 0.809051i 0.532188 0.846626i \(-0.321370\pi\)
−0.999294 + 0.0375755i \(0.988037\pi\)
\(648\) 9.07708 + 2.17684i 0.356581 + 0.0855143i
\(649\) 0.935708i 0.0367298i
\(650\) −3.59170 + 4.96949i −0.140878 + 0.194919i
\(651\) 0.415173 1.02135i 0.0162719 0.0400299i
\(652\) 29.8178 + 29.8178i 1.16776 + 1.16776i
\(653\) 12.9458i 0.506607i −0.967387 0.253303i \(-0.918483\pi\)
0.967387 0.253303i \(-0.0815171\pi\)
\(654\) −22.2042 + 54.6236i −0.868252 + 2.13595i
\(655\) 5.63267 21.0214i 0.220087 0.821375i
\(656\) 0.738871 + 2.75750i 0.0288481 + 0.107662i
\(657\) −1.45320 + 2.59562i −0.0566946 + 0.101265i
\(658\) 12.4160 12.4160i 0.484026 0.484026i
\(659\) 0.449994i 0.0175293i −0.999962 0.00876465i \(-0.997210\pi\)
0.999962 0.00876465i \(-0.00278991\pi\)
\(660\) 0.707288 + 0.287508i 0.0275311 + 0.0111912i
\(661\) −13.1111 + 13.1111i −0.509964 + 0.509964i −0.914515 0.404551i \(-0.867428\pi\)
0.404551 + 0.914515i \(0.367428\pi\)
\(662\) −28.8002 + 49.8835i −1.11935 + 1.93878i
\(663\) −21.0877 4.86032i −0.818976 0.188759i
\(664\) 0.376047 + 0.651333i 0.0145935 + 0.0252766i
\(665\) −16.3728 4.38708i −0.634910 0.170124i
\(666\) 12.4067 + 43.9701i 0.480751 + 1.70381i
\(667\) −20.4288 11.7946i −0.791006 0.456688i
\(668\) 46.0870 + 12.3490i 1.78316 + 0.477797i
\(669\) −2.21194 + 0.933384i −0.0855186 + 0.0360867i
\(670\) −25.8316 6.92156i −0.997963 0.267403i
\(671\) −1.13055 + 0.302931i −0.0436445 + 0.0116945i
\(672\) −10.8929 + 8.47333i −0.420202 + 0.326866i
\(673\) 16.8688 + 9.73923i 0.650246 + 0.375420i 0.788551 0.614970i \(-0.210832\pi\)
−0.138304 + 0.990390i \(0.544165\pi\)
\(674\) 3.04229 11.3540i 0.117185 0.437339i
\(675\) −2.47274 + 3.35831i −0.0951757 + 0.129261i
\(676\) 21.5355 24.1581i 0.828288 0.929158i
\(677\) 35.3932 20.4342i 1.36027 0.785352i 0.370610 0.928789i \(-0.379149\pi\)
0.989659 + 0.143437i \(0.0458154\pi\)
\(678\) 15.2446 + 11.5384i 0.585465 + 0.443128i
\(679\) 2.43674 0.0935135
\(680\) −3.68164 6.37679i −0.141184 0.244539i
\(681\) 29.3493 38.7765i 1.12467 1.48592i
\(682\) 0.0824226 + 0.0824226i 0.00315613 + 0.00315613i
\(683\) −22.6149 + 6.05965i −0.865336 + 0.231866i −0.664070 0.747670i \(-0.731172\pi\)
−0.201266 + 0.979537i \(0.564506\pi\)
\(684\) 30.1855 53.9157i 1.15417 2.06152i
\(685\) 16.0357 27.7747i 0.612694 1.06122i
\(686\) −1.05942 + 1.83497i −0.0404489 + 0.0700595i
\(687\) 11.1961 + 26.5325i 0.427157 + 1.01228i
\(688\) −17.6904 10.2136i −0.674441 0.389389i
\(689\) −23.7276 + 3.81859i −0.903951 + 0.145477i
\(690\) 15.4634 12.0287i 0.588683 0.457923i
\(691\) 13.8622 3.71437i 0.527344 0.141301i 0.0146825 0.999892i \(-0.495326\pi\)
0.512662 + 0.858591i \(0.328660\pi\)
\(692\) −2.72753 + 1.57474i −0.103685 + 0.0598627i
\(693\) 0.0637906 0.251307i 0.00242321 0.00954634i
\(694\) −11.8577 11.8577i −0.450113 0.450113i
\(695\) 21.6954 21.6954i 0.822953 0.822953i
\(696\) −6.32288 14.9840i −0.239668 0.567967i
\(697\) 0.920533 + 3.43548i 0.0348677 + 0.130128i
\(698\) 20.2497 11.6911i 0.766461 0.442516i
\(699\) −15.2002 + 2.10340i −0.574925 + 0.0795580i
\(700\) 0.517140 + 1.92999i 0.0195461 + 0.0729469i
\(701\) −41.2404 −1.55763 −0.778815 0.627254i \(-0.784179\pi\)
−0.778815 + 0.627254i \(0.784179\pi\)
\(702\) 26.6762 29.3972i 1.00683 1.10952i
\(703\) 59.4650 2.24276
\(704\) −0.253200 0.944955i −0.00954283 0.0356143i
\(705\) 29.1293 4.03090i 1.09707 0.151813i
\(706\) 32.4535 18.7370i 1.22140 0.705178i
\(707\) 1.51747 + 5.66329i 0.0570705 + 0.212990i
\(708\) 18.1499 + 43.0117i 0.682114 + 1.61648i
\(709\) −7.94801 + 7.94801i −0.298494 + 0.298494i −0.840424 0.541930i \(-0.817694\pi\)
0.541930 + 0.840424i \(0.317694\pi\)
\(710\) 47.8449 + 47.8449i 1.79559 + 1.79559i
\(711\) −5.22521 5.08891i −0.195961 0.190849i
\(712\) −7.93974 + 4.58401i −0.297554 + 0.171793i
\(713\) 1.60203 0.429264i 0.0599966 0.0160760i
\(714\) −10.0379 + 7.80828i −0.375660 + 0.292218i
\(715\) 0.495141 0.403000i 0.0185172 0.0150713i
\(716\) −24.2320 13.9904i −0.905593 0.522844i
\(717\) 5.64326 + 13.3734i 0.210752 + 0.499440i
\(718\) 19.9824 34.6106i 0.745738 1.29166i
\(719\) −3.86793 + 6.69946i −0.144250 + 0.249848i −0.929093 0.369847i \(-0.879410\pi\)
0.784843 + 0.619694i \(0.212743\pi\)
\(720\) −17.0938 + 0.225885i −0.637047 + 0.00841823i
\(721\) 17.9682 4.81457i 0.669172 0.179304i
\(722\) −74.0896 74.0896i −2.75733 2.75733i
\(723\) −1.36425 + 1.80245i −0.0507369 + 0.0670340i
\(724\) −13.7102 23.7467i −0.509534 0.882539i
\(725\) 7.26619 0.269859
\(726\) −32.1670 24.3466i −1.19383 0.903589i
\(727\) −3.23257 + 1.86633i −0.119889 + 0.0692182i −0.558745 0.829339i \(-0.688717\pi\)
0.438856 + 0.898557i \(0.355384\pi\)
\(728\) −0.594174 3.69203i −0.0220216 0.136836i
\(729\) 18.3203 19.8335i 0.678528 0.734574i
\(730\) −1.11407 + 4.15776i −0.0412335 + 0.153885i
\(731\) −22.0399 12.7247i −0.815174 0.470641i
\(732\) −46.0922 + 35.8541i −1.70362 + 1.32521i
\(733\) −1.97821 + 0.530060i −0.0730668 + 0.0195782i −0.295167 0.955446i \(-0.595375\pi\)
0.222100 + 0.975024i \(0.428709\pi\)
\(734\) −38.9748 10.4433i −1.43859 0.385468i
\(735\) −3.26939 + 1.37960i −0.120593 + 0.0508873i
\(736\) −20.0532 5.37323i −0.739169 0.198060i
\(737\) −0.461096 0.266214i −0.0169847 0.00980612i
\(738\) −6.32366 1.60517i −0.232777 0.0590872i
\(739\) 47.9705 + 12.8537i 1.76462 + 0.472829i 0.987646 0.156701i \(-0.0500857\pi\)
0.776976 + 0.629530i \(0.216752\pi\)
\(740\) 18.3292 + 31.7471i 0.673794 + 1.16705i
\(741\) −27.3959 43.8069i −1.00641 1.60929i
\(742\) −7.06161 + 12.2311i −0.259240 + 0.449017i
\(743\) −31.7511 + 31.7511i −1.16483 + 1.16483i −0.181429 + 0.983404i \(0.558072\pi\)
−0.983404 + 0.181429i \(0.941928\pi\)
\(744\) 1.05930 + 0.430601i 0.0388360 + 0.0157866i
\(745\) 3.33424i 0.122157i
\(746\) 20.2582 20.2582i 0.741704 0.741704i
\(747\) 2.17525 0.0287448i 0.0795883 0.00105172i
\(748\) −0.192967 0.720164i −0.00705559 0.0263318i
\(749\) −2.70428 + 10.0925i −0.0988124 + 0.368773i
\(750\) −16.4293 + 40.4171i −0.599914 + 1.47582i
\(751\) 11.2554i 0.410714i 0.978687 + 0.205357i \(0.0658355\pi\)
−0.978687 + 0.205357i \(0.934164\pi\)
\(752\) −16.2985 16.2985i −0.594345 0.594345i
\(753\) −13.9118 + 34.2239i −0.506975 + 1.24719i
\(754\) −68.8022 7.05848i −2.50563 0.257055i
\(755\) 6.03497i 0.219635i
\(756\) −1.94231 12.7891i −0.0706412 0.465137i
\(757\) 19.5734 + 33.9020i 0.711406 + 1.23219i 0.964330 + 0.264705i \(0.0852745\pi\)
−0.252924 + 0.967486i \(0.581392\pi\)
\(758\) 42.4957 1.54351
\(759\) 0.359356 0.151639i 0.0130438 0.00550416i
\(760\) 4.55011 16.9812i 0.165050 0.615974i
\(761\) 5.43654 20.2895i 0.197075 0.735492i −0.794645 0.607074i \(-0.792343\pi\)
0.991720 0.128419i \(-0.0409901\pi\)
\(762\) 7.32851 + 5.54683i 0.265484 + 0.200940i
\(763\) 16.0668 0.581656
\(764\) 0.717774 + 1.24322i 0.0259681 + 0.0449781i
\(765\) −21.2965 + 0.281422i −0.769977 + 0.0101748i
\(766\) 38.5151i 1.39161i
\(767\) 38.8327 + 3.98388i 1.40217 + 0.143850i
\(768\) 5.93924 + 7.63519i 0.214314 + 0.275511i
\(769\) 13.9345 + 13.9345i 0.502493 + 0.502493i 0.912212 0.409719i \(-0.134373\pi\)
−0.409719 + 0.912212i \(0.634373\pi\)
\(770\) 0.375172i 0.0135203i
\(771\) −32.8500 + 4.54578i −1.18306 + 0.163712i
\(772\) 11.6193 43.3640i 0.418189 1.56070i
\(773\) −11.6929 43.6386i −0.420565 1.56957i −0.773421