Properties

Label 150.2.l.a.17.9
Level 150
Weight 2
Character 150.17
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 17.9
Character \(\chi\) = 150.17
Dual form 150.2.l.a.53.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.891007 + 0.453990i) q^{2} +(0.832356 - 1.51894i) q^{3} +(0.587785 + 0.809017i) q^{4} +(0.0831552 + 2.23452i) q^{5} +(1.43122 - 0.975505i) q^{6} +(0.0556476 + 0.0556476i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-1.61437 - 2.52860i) q^{9} +O(q^{10})\) \(q+(0.891007 + 0.453990i) q^{2} +(0.832356 - 1.51894i) q^{3} +(0.587785 + 0.809017i) q^{4} +(0.0831552 + 2.23452i) q^{5} +(1.43122 - 0.975505i) q^{6} +(0.0556476 + 0.0556476i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-1.61437 - 2.52860i) q^{9} +(-0.940360 + 2.02872i) q^{10} +(1.04749 - 0.340351i) q^{11} +(1.71810 - 0.219422i) q^{12} +(-2.31368 - 4.54086i) q^{13} +(0.0243189 + 0.0748459i) q^{14} +(3.46332 + 1.73361i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-3.10226 + 0.491350i) q^{17} +(-0.290452 - 2.98591i) q^{18} +(-0.824223 + 1.13445i) q^{19} +(-1.75889 + 1.38069i) q^{20} +(0.130844 - 0.0382069i) q^{21} +(1.08784 + 0.172297i) q^{22} +(-1.13408 + 2.22575i) q^{23} +(1.63045 + 0.584493i) q^{24} +(-4.98617 + 0.371624i) q^{25} -5.09632i q^{26} +(-5.18452 + 0.347436i) q^{27} +(-0.0123110 + 0.0777287i) q^{28} +(-5.66803 + 4.11807i) q^{29} +(2.29880 + 3.11697i) q^{30} +(7.72991 + 5.61611i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(0.354913 - 1.87437i) q^{33} +(-2.98720 - 0.970601i) q^{34} +(-0.119718 + 0.128973i) q^{35} +(1.09678 - 2.79232i) q^{36} +(9.23065 - 4.70325i) q^{37} +(-1.24942 + 0.636609i) q^{38} +(-8.82310 - 0.265260i) q^{39} +(-2.19400 + 0.431688i) q^{40} +(-3.55210 - 1.15415i) q^{41} +(0.133928 + 0.0253594i) q^{42} +(-1.00563 + 1.00563i) q^{43} +(0.891050 + 0.647386i) q^{44} +(5.51597 - 3.81761i) q^{45} +(-2.02094 + 1.46830i) q^{46} +(1.98797 - 12.5515i) q^{47} +(1.18739 + 1.26100i) q^{48} -6.99381i q^{49} +(-4.61142 - 1.93255i) q^{50} +(-1.83585 + 5.12113i) q^{51} +(2.31368 - 4.54086i) q^{52} +(6.70559 + 1.06206i) q^{53} +(-4.77718 - 2.04416i) q^{54} +(0.847626 + 2.31234i) q^{55} +(-0.0462573 + 0.0636677i) q^{56} +(1.03711 + 2.19621i) q^{57} +(-6.91981 + 1.09599i) q^{58} +(-2.03647 + 6.26761i) q^{59} +(0.633171 + 3.82088i) q^{60} +(1.23324 + 3.79553i) q^{61} +(4.33774 + 8.51329i) q^{62} +(0.0508748 - 0.230546i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(9.95425 - 5.54757i) q^{65} +(1.16718 - 1.50895i) q^{66} +(-1.04169 - 6.57696i) q^{67} +(-2.22097 - 2.22097i) q^{68} +(2.43683 + 3.57522i) q^{69} +(-0.165222 + 0.0605649i) q^{70} +(7.51096 + 10.3379i) q^{71} +(2.24493 - 1.99005i) q^{72} +(1.18329 + 0.602914i) q^{73} +10.3598 q^{74} +(-3.58579 + 7.88303i) q^{75} -1.40225 q^{76} +(0.0772302 + 0.0393507i) q^{77} +(-7.74102 - 4.24195i) q^{78} +(5.85354 + 8.05671i) q^{79} +(-2.15085 - 0.611420i) q^{80} +(-3.78763 + 8.16418i) q^{81} +(-2.64098 - 2.64098i) q^{82} +(0.137997 + 0.871279i) q^{83} +(0.107818 + 0.0833977i) q^{84} +(-1.35590 - 6.89121i) q^{85} +(-1.35257 + 0.439477i) q^{86} +(1.53728 + 12.0371i) q^{87} +(0.500025 + 0.981353i) q^{88} +(-1.01326 - 3.11850i) q^{89} +(6.64792 - 0.897315i) q^{90} +(0.123937 - 0.381439i) q^{91} +(-2.46727 + 0.390777i) q^{92} +(14.9646 - 7.06668i) q^{93} +(7.46957 - 10.2810i) q^{94} +(-2.60348 - 1.74741i) q^{95} +(0.485490 + 1.66262i) q^{96} +(-10.2531 - 1.62393i) q^{97} +(3.17512 - 6.23153i) q^{98} +(-2.55165 - 2.09924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.891007 + 0.453990i 0.630037 + 0.321020i
\(3\) 0.832356 1.51894i 0.480561 0.876961i
\(4\) 0.587785 + 0.809017i 0.293893 + 0.404508i
\(5\) 0.0831552 + 2.23452i 0.0371882 + 0.999308i
\(6\) 1.43122 0.975505i 0.584293 0.398248i
\(7\) 0.0556476 + 0.0556476i 0.0210328 + 0.0210328i 0.717545 0.696512i \(-0.245266\pi\)
−0.696512 + 0.717545i \(0.745266\pi\)
\(8\) 0.156434 + 0.987688i 0.0553079 + 0.349201i
\(9\) −1.61437 2.52860i −0.538123 0.842867i
\(10\) −0.940360 + 2.02872i −0.297368 + 0.641539i
\(11\) 1.04749 0.340351i 0.315831 0.102620i −0.146812 0.989164i \(-0.546901\pi\)
0.462643 + 0.886545i \(0.346901\pi\)
\(12\) 1.71810 0.219422i 0.495972 0.0633416i
\(13\) −2.31368 4.54086i −0.641700 1.25941i −0.951220 0.308514i \(-0.900168\pi\)
0.309520 0.950893i \(-0.399832\pi\)
\(14\) 0.0243189 + 0.0748459i 0.00649950 + 0.0200034i
\(15\) 3.46332 + 1.73361i 0.894226 + 0.447616i
\(16\) −0.309017 + 0.951057i −0.0772542 + 0.237764i
\(17\) −3.10226 + 0.491350i −0.752408 + 0.119170i −0.520846 0.853650i \(-0.674384\pi\)
−0.231562 + 0.972820i \(0.574384\pi\)
\(18\) −0.290452 2.98591i −0.0684602 0.703785i
\(19\) −0.824223 + 1.13445i −0.189090 + 0.260260i −0.893028 0.450002i \(-0.851423\pi\)
0.703938 + 0.710262i \(0.251423\pi\)
\(20\) −1.75889 + 1.38069i −0.393299 + 0.308732i
\(21\) 0.130844 0.0382069i 0.0285525 0.00833742i
\(22\) 1.08784 + 0.172297i 0.231928 + 0.0367338i
\(23\) −1.13408 + 2.22575i −0.236472 + 0.464102i −0.978495 0.206273i \(-0.933867\pi\)
0.742023 + 0.670375i \(0.233867\pi\)
\(24\) 1.63045 + 0.584493i 0.332814 + 0.119309i
\(25\) −4.98617 + 0.371624i −0.997234 + 0.0743249i
\(26\) 5.09632i 0.999471i
\(27\) −5.18452 + 0.347436i −0.997762 + 0.0668641i
\(28\) −0.0123110 + 0.0777287i −0.00232656 + 0.0146893i
\(29\) −5.66803 + 4.11807i −1.05253 + 0.764705i −0.972691 0.232103i \(-0.925440\pi\)
−0.0798355 + 0.996808i \(0.525440\pi\)
\(30\) 2.29880 + 3.11697i 0.419702 + 0.569079i
\(31\) 7.72991 + 5.61611i 1.38833 + 1.00868i 0.996046 + 0.0888399i \(0.0283160\pi\)
0.392287 + 0.919843i \(0.371684\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) 0.354913 1.87437i 0.0617824 0.326286i
\(34\) −2.98720 0.970601i −0.512301 0.166457i
\(35\) −0.119718 + 0.128973i −0.0202361 + 0.0218004i
\(36\) 1.09678 2.79232i 0.182796 0.465387i
\(37\) 9.23065 4.70325i 1.51751 0.773210i 0.520755 0.853706i \(-0.325650\pi\)
0.996755 + 0.0804961i \(0.0256505\pi\)
\(38\) −1.24942 + 0.636609i −0.202682 + 0.103272i
\(39\) −8.82310 0.265260i −1.41283 0.0424756i
\(40\) −2.19400 + 0.431688i −0.346902 + 0.0682558i
\(41\) −3.55210 1.15415i −0.554745 0.180248i 0.0182101 0.999834i \(-0.494203\pi\)
−0.572956 + 0.819586i \(0.694203\pi\)
\(42\) 0.133928 + 0.0253594i 0.0206656 + 0.00391304i
\(43\) −1.00563 + 1.00563i −0.153357 + 0.153357i −0.779616 0.626258i \(-0.784586\pi\)
0.626258 + 0.779616i \(0.284586\pi\)
\(44\) 0.891050 + 0.647386i 0.134331 + 0.0975971i
\(45\) 5.51597 3.81761i 0.822272 0.569095i
\(46\) −2.02094 + 1.46830i −0.297972 + 0.216489i
\(47\) 1.98797 12.5515i 0.289975 1.83083i −0.225883 0.974154i \(-0.572527\pi\)
0.515858 0.856674i \(-0.327473\pi\)
\(48\) 1.18739 + 1.26100i 0.171385 + 0.182009i
\(49\) 6.99381i 0.999115i
\(50\) −4.61142 1.93255i −0.652154 0.273304i
\(51\) −1.83585 + 5.12113i −0.257071 + 0.717101i
\(52\) 2.31368 4.54086i 0.320850 0.629704i
\(53\) 6.70559 + 1.06206i 0.921083 + 0.145885i 0.598929 0.800802i \(-0.295593\pi\)
0.322154 + 0.946687i \(0.395593\pi\)
\(54\) −4.77718 2.04416i −0.650091 0.278175i
\(55\) 0.847626 + 2.31234i 0.114294 + 0.311796i
\(56\) −0.0462573 + 0.0636677i −0.00618139 + 0.00850795i
\(57\) 1.03711 + 2.19621i 0.137369 + 0.290895i
\(58\) −6.91981 + 1.09599i −0.908616 + 0.143911i
\(59\) −2.03647 + 6.26761i −0.265126 + 0.815974i 0.726538 + 0.687126i \(0.241128\pi\)
−0.991664 + 0.128848i \(0.958872\pi\)
\(60\) 0.633171 + 3.82088i 0.0817420 + 0.493273i
\(61\) 1.23324 + 3.79553i 0.157901 + 0.485968i 0.998443 0.0557774i \(-0.0177637\pi\)
−0.840543 + 0.541745i \(0.817764\pi\)
\(62\) 4.33774 + 8.51329i 0.550894 + 1.08119i
\(63\) 0.0508748 0.230546i 0.00640962 0.0290461i
\(64\) −0.951057 + 0.309017i −0.118882 + 0.0386271i
\(65\) 9.95425 5.54757i 1.23467 0.688091i
\(66\) 1.16718 1.50895i 0.143670 0.185739i
\(67\) −1.04169 6.57696i −0.127263 0.803504i −0.965919 0.258844i \(-0.916659\pi\)
0.838657 0.544660i \(-0.183341\pi\)
\(68\) −2.22097 2.22097i −0.269332 0.269332i
\(69\) 2.43683 + 3.57522i 0.293360 + 0.430406i
\(70\) −0.165222 + 0.0605649i −0.0197479 + 0.00723889i
\(71\) 7.51096 + 10.3379i 0.891387 + 1.22689i 0.973135 + 0.230236i \(0.0739497\pi\)
−0.0817481 + 0.996653i \(0.526050\pi\)
\(72\) 2.24493 1.99005i 0.264567 0.234530i
\(73\) 1.18329 + 0.602914i 0.138493 + 0.0705658i 0.521864 0.853029i \(-0.325237\pi\)
−0.383371 + 0.923595i \(0.625237\pi\)
\(74\) 10.3598 1.20430
\(75\) −3.58579 + 7.88303i −0.414052 + 0.910253i
\(76\) −1.40225 −0.160849
\(77\) 0.0772302 + 0.0393507i 0.00880119 + 0.00448443i
\(78\) −7.74102 4.24195i −0.876498 0.480307i
\(79\) 5.85354 + 8.05671i 0.658575 + 0.906451i 0.999433 0.0336639i \(-0.0107176\pi\)
−0.340858 + 0.940115i \(0.610718\pi\)
\(80\) −2.15085 0.611420i −0.240473 0.0683588i
\(81\) −3.78763 + 8.16418i −0.420848 + 0.907131i
\(82\) −2.64098 2.64098i −0.291647 0.291647i
\(83\) 0.137997 + 0.871279i 0.0151471 + 0.0956353i 0.994104 0.108433i \(-0.0345834\pi\)
−0.978957 + 0.204069i \(0.934583\pi\)
\(84\) 0.107818 + 0.0833977i 0.0117639 + 0.00909943i
\(85\) −1.35590 6.89121i −0.147068 0.747456i
\(86\) −1.35257 + 0.439477i −0.145851 + 0.0473900i
\(87\) 1.53728 + 12.0371i 0.164814 + 1.29051i
\(88\) 0.500025 + 0.981353i 0.0533028 + 0.104613i
\(89\) −1.01326 3.11850i −0.107406 0.330560i 0.882882 0.469595i \(-0.155600\pi\)
−0.990288 + 0.139035i \(0.955600\pi\)
\(90\) 6.64792 0.897315i 0.700752 0.0945853i
\(91\) 0.123937 0.381439i 0.0129921 0.0399856i
\(92\) −2.46727 + 0.390777i −0.257230 + 0.0407413i
\(93\) 14.9646 7.06668i 1.55175 0.732781i
\(94\) 7.46957 10.2810i 0.770427 1.06040i
\(95\) −2.60348 1.74741i −0.267112 0.179280i
\(96\) 0.485490 + 1.66262i 0.0495501 + 0.169690i
\(97\) −10.2531 1.62393i −1.04104 0.164885i −0.387575 0.921838i \(-0.626687\pi\)
−0.653469 + 0.756953i \(0.726687\pi\)
\(98\) 3.17512 6.23153i 0.320736 0.629479i
\(99\) −2.55165 2.09924i −0.256450 0.210981i
\(100\) −3.23145 3.81546i −0.323145 0.381546i
\(101\) 14.0377i 1.39680i −0.715708 0.698399i \(-0.753896\pi\)
0.715708 0.698399i \(-0.246104\pi\)
\(102\) −3.96070 + 3.72950i −0.392168 + 0.369276i
\(103\) −2.06559 + 13.0416i −0.203529 + 1.28503i 0.648371 + 0.761324i \(0.275451\pi\)
−0.851900 + 0.523705i \(0.824549\pi\)
\(104\) 4.12301 2.99554i 0.404295 0.293737i
\(105\) 0.0962544 + 0.289197i 0.00939347 + 0.0282227i
\(106\) 5.49256 + 3.99058i 0.533484 + 0.387599i
\(107\) 13.7619 13.7619i 1.33041 1.33041i 0.425413 0.904999i \(-0.360129\pi\)
0.904999 0.425413i \(-0.139871\pi\)
\(108\) −3.32847 3.99015i −0.320282 0.383952i
\(109\) 11.7044 + 3.80299i 1.12108 + 0.364260i 0.810178 0.586183i \(-0.199370\pi\)
0.310898 + 0.950443i \(0.399370\pi\)
\(110\) −0.294541 + 2.44513i −0.0280834 + 0.233134i
\(111\) 0.539221 17.9356i 0.0511805 1.70237i
\(112\) −0.0701201 + 0.0357280i −0.00662572 + 0.00337598i
\(113\) −6.80204 + 3.46581i −0.639882 + 0.326036i −0.743654 0.668565i \(-0.766909\pi\)
0.103771 + 0.994601i \(0.466909\pi\)
\(114\) −0.0729862 + 2.42768i −0.00683579 + 0.227373i
\(115\) −5.06780 2.34904i −0.472575 0.219049i
\(116\) −6.66317 2.16499i −0.618660 0.201015i
\(117\) −7.74688 + 13.1810i −0.716199 + 1.21858i
\(118\) −4.65995 + 4.65995i −0.428983 + 0.428983i
\(119\) −0.199976 0.145291i −0.0183317 0.0133188i
\(120\) −1.17048 + 3.69188i −0.106850 + 0.337021i
\(121\) −7.91779 + 5.75261i −0.719799 + 0.522964i
\(122\) −0.624308 + 3.94172i −0.0565222 + 0.356867i
\(123\) −4.70970 + 4.43478i −0.424659 + 0.399870i
\(124\) 9.55469i 0.858037i
\(125\) −1.24503 11.1108i −0.111359 0.993780i
\(126\) 0.149996 0.182322i 0.0133627 0.0162425i
\(127\) −1.46280 + 2.87091i −0.129803 + 0.254752i −0.946756 0.321952i \(-0.895661\pi\)
0.816954 + 0.576703i \(0.195661\pi\)
\(128\) −0.987688 0.156434i −0.0873001 0.0138270i
\(129\) 0.690452 + 2.36454i 0.0607909 + 0.208186i
\(130\) 11.3878 0.423786i 0.998780 0.0371685i
\(131\) −3.12598 + 4.30255i −0.273118 + 0.375915i −0.923439 0.383744i \(-0.874634\pi\)
0.650321 + 0.759660i \(0.274634\pi\)
\(132\) 1.72501 0.814598i 0.150143 0.0709017i
\(133\) −0.108995 + 0.0172632i −0.00945109 + 0.00149690i
\(134\) 2.05773 6.33303i 0.177761 0.547091i
\(135\) −1.20747 11.5560i −0.103923 0.994585i
\(136\) −0.970601 2.98720i −0.0832283 0.256150i
\(137\) 5.21451 + 10.2341i 0.445506 + 0.874354i 0.999135 + 0.0415907i \(0.0132426\pi\)
−0.553629 + 0.832763i \(0.686757\pi\)
\(138\) 0.548120 + 4.29184i 0.0466591 + 0.365346i
\(139\) 10.3684 3.36891i 0.879440 0.285747i 0.165715 0.986174i \(-0.447007\pi\)
0.713725 + 0.700426i \(0.247007\pi\)
\(140\) −0.174710 0.0210457i −0.0147657 0.00177868i
\(141\) −17.4103 13.4669i −1.46622 1.13412i
\(142\) 1.99898 + 12.6211i 0.167751 + 1.05914i
\(143\) −3.96905 3.96905i −0.331909 0.331909i
\(144\) 2.90371 0.753975i 0.241976 0.0628312i
\(145\) −9.67323 12.3229i −0.803318 1.02336i
\(146\) 0.780598 + 1.07440i 0.0646028 + 0.0889181i
\(147\) −10.6232 5.82134i −0.876186 0.480136i
\(148\) 9.23065 + 4.70325i 0.758755 + 0.386605i
\(149\) −14.3679 −1.17707 −0.588534 0.808472i \(-0.700295\pi\)
−0.588534 + 0.808472i \(0.700295\pi\)
\(150\) −6.77378 + 5.39591i −0.553077 + 0.440574i
\(151\) −0.326435 −0.0265649 −0.0132824 0.999912i \(-0.504228\pi\)
−0.0132824 + 0.999912i \(0.504228\pi\)
\(152\) −1.24942 0.636609i −0.101341 0.0516358i
\(153\) 6.25061 + 7.05115i 0.505332 + 0.570052i
\(154\) 0.0509477 + 0.0701235i 0.00410548 + 0.00565071i
\(155\) −11.9065 + 17.7397i −0.956356 + 1.42488i
\(156\) −4.97149 7.29396i −0.398038 0.583984i
\(157\) −3.47556 3.47556i −0.277380 0.277380i 0.554682 0.832062i \(-0.312840\pi\)
−0.832062 + 0.554682i \(0.812840\pi\)
\(158\) 1.55788 + 9.83604i 0.123938 + 0.782513i
\(159\) 7.19464 9.30139i 0.570572 0.737648i
\(160\) −1.63884 1.52125i −0.129562 0.120265i
\(161\) −0.186967 + 0.0607491i −0.0147350 + 0.00478770i
\(162\) −7.08127 + 5.55479i −0.556357 + 0.436425i
\(163\) −0.695961 1.36590i −0.0545119 0.106986i 0.862143 0.506664i \(-0.169122\pi\)
−0.916655 + 0.399679i \(0.869122\pi\)
\(164\) −1.15415 3.55210i −0.0901239 0.277373i
\(165\) 4.21784 + 0.637197i 0.328358 + 0.0496057i
\(166\) −0.272596 + 0.838964i −0.0211576 + 0.0651163i
\(167\) −22.1072 + 3.50144i −1.71071 + 0.270949i −0.933573 0.358387i \(-0.883327\pi\)
−0.777133 + 0.629336i \(0.783327\pi\)
\(168\) 0.0582050 + 0.123256i 0.00449061 + 0.00950943i
\(169\) −7.62505 + 10.4950i −0.586542 + 0.807306i
\(170\) 1.92043 6.75568i 0.147290 0.518137i
\(171\) 4.19916 + 0.252718i 0.321118 + 0.0193258i
\(172\) −1.40467 0.222477i −0.107105 0.0169637i
\(173\) 6.43491 12.6292i 0.489237 0.960182i −0.505985 0.862542i \(-0.668871\pi\)
0.995222 0.0976395i \(-0.0311292\pi\)
\(174\) −4.09500 + 11.4230i −0.310441 + 0.865979i
\(175\) −0.298148 0.256788i −0.0225379 0.0194114i
\(176\) 1.10140i 0.0830211i
\(177\) 7.82507 + 8.31016i 0.588168 + 0.624630i
\(178\) 0.512946 3.23861i 0.0384469 0.242744i
\(179\) 12.2896 8.92889i 0.918565 0.667377i −0.0246011 0.999697i \(-0.507832\pi\)
0.943167 + 0.332320i \(0.107832\pi\)
\(180\) 6.33071 + 2.21858i 0.471863 + 0.165363i
\(181\) −8.30933 6.03708i −0.617627 0.448733i 0.234465 0.972125i \(-0.424666\pi\)
−0.852092 + 0.523392i \(0.824666\pi\)
\(182\) 0.283598 0.283598i 0.0210217 0.0210217i
\(183\) 6.79169 + 1.28601i 0.502056 + 0.0950645i
\(184\) −2.37576 0.771931i −0.175143 0.0569075i
\(185\) 11.2771 + 20.2350i 0.829109 + 1.48771i
\(186\) 16.5417 + 0.497315i 1.21290 + 0.0364649i
\(187\) −3.08236 + 1.57054i −0.225405 + 0.114849i
\(188\) 11.3229 5.76930i 0.825807 0.420770i
\(189\) −0.307840 0.269172i −0.0223921 0.0195794i
\(190\) −1.52641 2.73891i −0.110738 0.198701i
\(191\) 10.3303 + 3.35652i 0.747475 + 0.242869i 0.657894 0.753110i \(-0.271447\pi\)
0.0895805 + 0.995980i \(0.471447\pi\)
\(192\) −0.322239 + 1.70181i −0.0232556 + 0.122818i
\(193\) −13.7241 + 13.7241i −0.987880 + 0.987880i −0.999927 0.0120476i \(-0.996165\pi\)
0.0120476 + 0.999927i \(0.496165\pi\)
\(194\) −8.39833 6.10174i −0.602965 0.438080i
\(195\) −0.140958 19.7375i −0.0100942 1.41343i
\(196\) 5.65811 4.11086i 0.404151 0.293633i
\(197\) −1.91320 + 12.0795i −0.136310 + 0.860625i 0.820867 + 0.571120i \(0.193491\pi\)
−0.957176 + 0.289506i \(0.906509\pi\)
\(198\) −1.32050 3.02886i −0.0938440 0.215252i
\(199\) 15.9356i 1.12965i −0.825212 0.564823i \(-0.808944\pi\)
0.825212 0.564823i \(-0.191056\pi\)
\(200\) −1.14706 4.86665i −0.0811092 0.344124i
\(201\) −10.8571 3.89211i −0.765799 0.274528i
\(202\) 6.37296 12.5076i 0.448400 0.880034i
\(203\) −0.544573 0.0862519i −0.0382215 0.00605369i
\(204\) −5.22217 + 1.52489i −0.365625 + 0.106764i
\(205\) 2.28359 8.03322i 0.159493 0.561065i
\(206\) −7.76123 + 10.6824i −0.540750 + 0.744279i
\(207\) 7.45886 0.725556i 0.518427 0.0504296i
\(208\) 5.03358 0.797241i 0.349016 0.0552787i
\(209\) −0.477258 + 1.46885i −0.0330126 + 0.101602i
\(210\) −0.0455293 + 0.301375i −0.00314182 + 0.0207968i
\(211\) −3.41758 10.5182i −0.235276 0.724104i −0.997085 0.0763026i \(-0.975689\pi\)
0.761809 0.647802i \(-0.224311\pi\)
\(212\) 3.08222 + 6.04920i 0.211688 + 0.415461i
\(213\) 21.9545 2.80386i 1.50430 0.192117i
\(214\) 18.5097 6.01417i 1.26530 0.411120i
\(215\) −2.33073 2.16348i −0.158954 0.147548i
\(216\) −1.15420 5.06634i −0.0785331 0.344721i
\(217\) 0.117628 + 0.742674i 0.00798511 + 0.0504160i
\(218\) 8.70216 + 8.70216i 0.589385 + 0.589385i
\(219\) 1.90071 1.29550i 0.128438 0.0875420i
\(220\) −1.37250 + 2.04490i −0.0925341 + 0.137867i
\(221\) 9.40879 + 12.9501i 0.632904 + 0.871117i
\(222\) 8.62304 15.7359i 0.578741 1.05613i
\(223\) 4.89460 + 2.49393i 0.327767 + 0.167006i 0.610129 0.792302i \(-0.291118\pi\)
−0.282362 + 0.959308i \(0.591118\pi\)
\(224\) −0.0786976 −0.00525820
\(225\) 8.98920 + 12.0081i 0.599280 + 0.800539i
\(226\) −7.63411 −0.507814
\(227\) −6.02606 3.07043i −0.399964 0.203792i 0.242426 0.970170i \(-0.422057\pi\)
−0.642390 + 0.766378i \(0.722057\pi\)
\(228\) −1.16717 + 2.12994i −0.0772979 + 0.141059i
\(229\) −1.78525 2.45719i −0.117973 0.162376i 0.745947 0.666006i \(-0.231997\pi\)
−0.863919 + 0.503630i \(0.831997\pi\)
\(230\) −3.44900 4.39374i −0.227420 0.289715i
\(231\) 0.124054 0.0845543i 0.00816218 0.00556326i
\(232\) −4.95404 4.95404i −0.325249 0.325249i
\(233\) 0.216297 + 1.36565i 0.0141701 + 0.0894666i 0.993760 0.111541i \(-0.0355785\pi\)
−0.979590 + 0.201007i \(0.935579\pi\)
\(234\) −12.8866 + 8.22734i −0.842421 + 0.537838i
\(235\) 28.2120 + 3.39843i 1.84035 + 0.221689i
\(236\) −6.26761 + 2.03647i −0.407987 + 0.132563i
\(237\) 17.1099 2.18514i 1.11141 0.141940i
\(238\) −0.112219 0.220242i −0.00727408 0.0142762i
\(239\) 3.51376 + 10.8143i 0.227287 + 0.699516i 0.998051 + 0.0623963i \(0.0198743\pi\)
−0.770765 + 0.637120i \(0.780126\pi\)
\(240\) −2.71899 + 2.75810i −0.175510 + 0.178035i
\(241\) −2.72661 + 8.39163i −0.175636 + 0.540552i −0.999662 0.0259998i \(-0.991723\pi\)
0.824026 + 0.566552i \(0.191723\pi\)
\(242\) −9.66643 + 1.53101i −0.621382 + 0.0984172i
\(243\) 9.24826 + 12.5487i 0.593276 + 0.804999i
\(244\) −2.34577 + 3.22867i −0.150172 + 0.206695i
\(245\) 15.6278 0.581572i 0.998424 0.0371553i
\(246\) −6.20972 + 1.81326i −0.395917 + 0.115609i
\(247\) 7.05835 + 1.11793i 0.449112 + 0.0711323i
\(248\) −4.33774 + 8.51329i −0.275447 + 0.540595i
\(249\) 1.43828 + 0.515604i 0.0911475 + 0.0326751i
\(250\) 3.93487 10.4650i 0.248863 0.661866i
\(251\) 14.6104i 0.922197i −0.887349 0.461099i \(-0.847455\pi\)
0.887349 0.461099i \(-0.152545\pi\)
\(252\) 0.216419 0.0943531i 0.0136331 0.00594369i
\(253\) −0.430401 + 2.71745i −0.0270591 + 0.170844i
\(254\) −2.60673 + 1.89390i −0.163561 + 0.118834i
\(255\) −11.5959 3.67640i −0.726165 0.230225i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 1.57229 1.57229i 0.0980767 0.0980767i −0.656366 0.754443i \(-0.727907\pi\)
0.754443 + 0.656366i \(0.227907\pi\)
\(258\) −0.458280 + 2.42028i −0.0285313 + 0.150680i
\(259\) 0.775389 + 0.251939i 0.0481803 + 0.0156547i
\(260\) 10.3390 + 4.79238i 0.641200 + 0.297211i
\(261\) 19.5632 + 7.68411i 1.21093 + 0.475634i
\(262\) −4.73859 + 2.41443i −0.292751 + 0.149164i
\(263\) −17.2650 + 8.79695i −1.06460 + 0.542443i −0.896371 0.443304i \(-0.853806\pi\)
−0.168233 + 0.985747i \(0.553806\pi\)
\(264\) 1.90682 + 0.0573270i 0.117356 + 0.00352823i
\(265\) −1.81559 + 15.0721i −0.111531 + 0.925872i
\(266\) −0.104953 0.0341012i −0.00643507 0.00209088i
\(267\) −5.58021 1.05661i −0.341503 0.0646638i
\(268\) 4.70859 4.70859i 0.287623 0.287623i
\(269\) −4.44596 3.23018i −0.271075 0.196948i 0.443940 0.896056i \(-0.353580\pi\)
−0.715015 + 0.699109i \(0.753580\pi\)
\(270\) 4.17046 10.8447i 0.253806 0.659987i
\(271\) 6.02194 4.37520i 0.365807 0.265774i −0.389663 0.920957i \(-0.627409\pi\)
0.755470 + 0.655183i \(0.227409\pi\)
\(272\) 0.491350 3.10226i 0.0297924 0.188102i
\(273\) −0.476224 0.505746i −0.0288224 0.0306091i
\(274\) 11.4859i 0.693891i
\(275\) −5.09649 + 2.08632i −0.307330 + 0.125810i
\(276\) −1.46008 + 4.07290i −0.0878863 + 0.245160i
\(277\) −8.66928 + 17.0144i −0.520886 + 1.02230i 0.469365 + 0.883004i \(0.344483\pi\)
−0.990251 + 0.139293i \(0.955517\pi\)
\(278\) 10.7678 + 1.70545i 0.645810 + 0.102286i
\(279\) 1.72197 28.6123i 0.103092 1.71297i
\(280\) −0.146113 0.0980686i −0.00873194 0.00586072i
\(281\) −0.827936 + 1.13956i −0.0493905 + 0.0679802i −0.832998 0.553276i \(-0.813377\pi\)
0.783607 + 0.621256i \(0.213377\pi\)
\(282\) −9.39887 19.9033i −0.559694 1.18522i
\(283\) 9.41786 1.49164i 0.559834 0.0886689i 0.129896 0.991528i \(-0.458536\pi\)
0.429937 + 0.902859i \(0.358536\pi\)
\(284\) −3.94874 + 12.1530i −0.234315 + 0.721147i
\(285\) −4.82124 + 2.50007i −0.285585 + 0.148091i
\(286\) −1.73454 5.33836i −0.102565 0.315664i
\(287\) −0.133440 0.261892i −0.00787674 0.0154590i
\(288\) 2.92952 + 0.646460i 0.172624 + 0.0380930i
\(289\) −6.78537 + 2.20470i −0.399139 + 0.129688i
\(290\) −3.02443 15.3713i −0.177601 0.902636i
\(291\) −11.0009 + 14.2222i −0.644883 + 0.833718i
\(292\) 0.207750 + 1.31168i 0.0121577 + 0.0767604i
\(293\) −22.0266 22.0266i −1.28681 1.28681i −0.936716 0.350091i \(-0.886151\pi\)
−0.350091 0.936716i \(-0.613849\pi\)
\(294\) −6.82250 10.0097i −0.397896 0.583776i
\(295\) −14.1745 4.02935i −0.825269 0.234598i
\(296\) 6.08934 + 8.38126i 0.353936 + 0.487151i
\(297\) −5.31250 + 2.12849i −0.308262 + 0.123508i
\(298\) −12.8019 6.52291i −0.741596 0.377862i
\(299\) 12.7307 0.736237
\(300\) −8.48518 + 1.73256i −0.489892 + 0.100029i
\(301\) −0.111922 −0.00645107
\(302\) −0.290856 0.148198i −0.0167369 0.00852785i
\(303\) −21.3224 11.6843i −1.22494 0.671247i
\(304\) −0.824223 1.13445i −0.0472724 0.0650649i
\(305\) −8.37864 + 3.07133i −0.479760 + 0.175864i
\(306\) 2.36818 + 9.12034i 0.135380 + 0.521375i
\(307\) 1.56450 + 1.56450i 0.0892910 + 0.0892910i 0.750341 0.661050i \(-0.229889\pi\)
−0.661050 + 0.750341i \(0.729889\pi\)
\(308\) 0.0135593 + 0.0856103i 0.000772615 + 0.00487810i
\(309\) 18.0902 + 13.9928i 1.02911 + 0.796022i
\(310\) −18.6624 + 10.4007i −1.05995 + 0.590720i
\(311\) −12.9644 + 4.21240i −0.735145 + 0.238863i −0.652577 0.757722i \(-0.726312\pi\)
−0.0825681 + 0.996585i \(0.526312\pi\)
\(312\) −1.11824 8.75597i −0.0633081 0.495709i
\(313\) −8.67043 17.0167i −0.490082 0.961839i −0.995113 0.0987386i \(-0.968519\pi\)
0.505032 0.863101i \(-0.331481\pi\)
\(314\) −1.51888 4.67462i −0.0857152 0.263804i
\(315\) 0.519391 + 0.0945097i 0.0292644 + 0.00532502i
\(316\) −3.07739 + 9.47123i −0.173117 + 0.532798i
\(317\) −8.97408 + 1.42135i −0.504034 + 0.0798312i −0.403274 0.915079i \(-0.632128\pi\)
−0.100761 + 0.994911i \(0.532128\pi\)
\(318\) 10.6332 5.02130i 0.596281 0.281580i
\(319\) −4.53563 + 6.24276i −0.253947 + 0.349528i
\(320\) −0.769590 2.09946i −0.0430214 0.117363i
\(321\) −9.44872 32.3583i −0.527376 1.80606i
\(322\) −0.194168 0.0307532i −0.0108206 0.00171381i
\(323\) 1.99954 3.92433i 0.111258 0.218355i
\(324\) −8.83128 + 1.73453i −0.490626 + 0.0963625i
\(325\) 13.2239 + 21.7817i 0.733530 + 1.20823i
\(326\) 1.53299i 0.0849043i
\(327\) 15.5187 14.6128i 0.858187 0.808092i
\(328\) 0.584268 3.68892i 0.0322608 0.203687i
\(329\) 0.809088 0.587837i 0.0446065 0.0324085i
\(330\) 3.46884 + 2.48261i 0.190953 + 0.136663i
\(331\) 8.94485 + 6.49882i 0.491654 + 0.357207i 0.805820 0.592161i \(-0.201725\pi\)
−0.314166 + 0.949368i \(0.601725\pi\)
\(332\) −0.623767 + 0.623767i −0.0342336 + 0.0342336i
\(333\) −26.7943 15.7478i −1.46832 0.862977i
\(334\) −21.2873 6.91666i −1.16479 0.378463i
\(335\) 14.6097 2.87458i 0.798215 0.157055i
\(336\) −0.00409615 + 0.136247i −0.000223464 + 0.00743287i
\(337\) 15.4169 7.85531i 0.839813 0.427906i 0.0194923 0.999810i \(-0.493795\pi\)
0.820321 + 0.571904i \(0.193795\pi\)
\(338\) −11.5586 + 5.88940i −0.628705 + 0.320341i
\(339\) −0.397350 + 13.2167i −0.0215811 + 0.717833i
\(340\) 4.77812 5.14750i 0.259130 0.279162i
\(341\) 10.0085 + 3.25195i 0.541989 + 0.176103i
\(342\) 3.62675 + 2.13155i 0.196112 + 0.115261i
\(343\) 0.778722 0.778722i 0.0420470 0.0420470i
\(344\) −1.15057 0.835934i −0.0620343 0.0450706i
\(345\) −7.78627 + 5.74246i −0.419198 + 0.309163i
\(346\) 11.4671 8.33133i 0.616475 0.447895i
\(347\) 2.33923 14.7693i 0.125576 0.792857i −0.841851 0.539709i \(-0.818534\pi\)
0.967428 0.253148i \(-0.0814658\pi\)
\(348\) −8.83463 + 8.31892i −0.473586 + 0.445941i
\(349\) 0.345103i 0.0184729i −0.999957 0.00923647i \(-0.997060\pi\)
0.999957 0.00923647i \(-0.00294010\pi\)
\(350\) −0.149073 0.364157i −0.00796827 0.0194650i
\(351\) 13.5730 + 22.7383i 0.724473 + 1.21368i
\(352\) −0.500025 + 0.981353i −0.0266514 + 0.0523063i
\(353\) −19.7879 3.13409i −1.05320 0.166811i −0.394256 0.919001i \(-0.628998\pi\)
−0.658947 + 0.752190i \(0.728998\pi\)
\(354\) 3.19945 + 10.9569i 0.170049 + 0.582354i
\(355\) −22.4758 + 17.6431i −1.19289 + 0.936396i
\(356\) 1.92734 2.65275i 0.102149 0.140596i
\(357\) −0.387139 + 0.182818i −0.0204896 + 0.00967574i
\(358\) 15.0037 2.37636i 0.792971 0.125594i
\(359\) 5.66877 17.4467i 0.299186 0.920800i −0.682597 0.730795i \(-0.739150\pi\)
0.981783 0.190005i \(-0.0608505\pi\)
\(360\) 4.63349 + 4.85085i 0.244206 + 0.255662i
\(361\) 5.26370 + 16.2000i 0.277037 + 0.852632i
\(362\) −4.66289 9.15143i −0.245076 0.480989i
\(363\) 2.14746 + 16.8149i 0.112713 + 0.882552i
\(364\) 0.381439 0.123937i 0.0199928 0.00649606i
\(365\) −1.24883 + 2.69421i −0.0653667 + 0.141022i
\(366\) 5.46760 + 4.22920i 0.285796 + 0.221064i
\(367\) 0.00304877 + 0.0192492i 0.000159144 + 0.00100480i 0.987768 0.155932i \(-0.0498381\pi\)
−0.987609 + 0.156937i \(0.949838\pi\)
\(368\) −1.76637 1.76637i −0.0920783 0.0920783i
\(369\) 2.81602 + 10.8451i 0.146596 + 0.564572i
\(370\) 0.861472 + 23.1492i 0.0447858 + 1.20347i
\(371\) 0.314049 + 0.432251i 0.0163046 + 0.0224414i
\(372\) 14.5130 + 7.95290i 0.752465 + 0.412339i
\(373\) −6.23329 3.17602i −0.322748 0.164448i 0.285109 0.958495i \(-0.407970\pi\)
−0.607856 + 0.794047i \(0.707970\pi\)
\(374\) −3.45942 −0.178882
\(375\) −17.9130 7.35701i −0.925022 0.379915i
\(376\) 12.7080 0.655364
\(377\) 31.8136 + 16.2098i 1.63848 + 0.834848i
\(378\) −0.152086 0.379591i −0.00782246 0.0195241i
\(379\) −7.15293 9.84516i −0.367421 0.505712i 0.584776 0.811194i \(-0.301182\pi\)
−0.952198 + 0.305483i \(0.901182\pi\)
\(380\) −0.116605 3.13336i −0.00598169 0.160738i
\(381\) 3.14317 + 4.61152i 0.161030 + 0.236256i
\(382\) 7.68054 + 7.68054i 0.392971 + 0.392971i
\(383\) 0.148258 + 0.936062i 0.00757561 + 0.0478305i 0.991187 0.132473i \(-0.0422919\pi\)
−0.983611 + 0.180304i \(0.942292\pi\)
\(384\) −1.05972 + 1.37003i −0.0540788 + 0.0699141i
\(385\) −0.0815080 + 0.175845i −0.00415403 + 0.00896187i
\(386\) −18.4588 + 5.99764i −0.939530 + 0.305272i
\(387\) 4.16630 + 0.919380i 0.211785 + 0.0467347i
\(388\) −4.71283 9.24945i −0.239258 0.469570i
\(389\) 6.14102 + 18.9001i 0.311362 + 0.958273i 0.977226 + 0.212200i \(0.0680630\pi\)
−0.665864 + 0.746073i \(0.731937\pi\)
\(390\) 8.83503 17.6502i 0.447379 0.893753i
\(391\) 2.42458 7.46210i 0.122616 0.377374i
\(392\) 6.90770 1.09407i 0.348892 0.0552590i
\(393\) 3.93339 + 8.32944i 0.198413 + 0.420164i
\(394\) −7.18863 + 9.89430i −0.362158 + 0.498468i
\(395\) −17.5161 + 13.7498i −0.881333 + 0.691829i
\(396\) 0.198497 3.29823i 0.00997485 0.165742i
\(397\) 26.6394 + 4.21926i 1.33699 + 0.211759i 0.783654 0.621198i \(-0.213354\pi\)
0.553338 + 0.832957i \(0.313354\pi\)
\(398\) 7.23462 14.1987i 0.362639 0.711719i
\(399\) −0.0645011 + 0.179927i −0.00322909 + 0.00900759i
\(400\) 1.18738 4.85697i 0.0593688 0.242848i
\(401\) 33.9394i 1.69485i −0.530912 0.847427i \(-0.678151\pi\)
0.530912 0.847427i \(-0.321849\pi\)
\(402\) −7.90675 8.39690i −0.394353 0.418800i
\(403\) 7.61739 48.0943i 0.379449 2.39575i
\(404\) 11.3567 8.25112i 0.565017 0.410509i
\(405\) −18.5580 7.78465i −0.922154 0.386822i
\(406\) −0.446060 0.324082i −0.0221376 0.0160839i
\(407\) 8.06828 8.06828i 0.399930 0.399930i
\(408\) −5.34527 1.01213i −0.264630 0.0501078i
\(409\) −15.1218 4.91338i −0.747726 0.242951i −0.0897236 0.995967i \(-0.528598\pi\)
−0.658002 + 0.753016i \(0.728598\pi\)
\(410\) 5.68170 6.12093i 0.280599 0.302291i
\(411\) 19.8853 + 0.597835i 0.980867 + 0.0294890i
\(412\) −11.7650 + 5.99458i −0.579621 + 0.295332i
\(413\) −0.462102 + 0.235453i −0.0227386 + 0.0115859i
\(414\) 6.97529 + 2.73978i 0.342817 + 0.134653i
\(415\) −1.93542 + 0.380809i −0.0950058 + 0.0186932i
\(416\) 4.84689 + 1.57485i 0.237638 + 0.0772134i
\(417\) 3.51305 18.5532i 0.172035 0.908554i
\(418\) −1.09208 + 1.09208i −0.0534155 + 0.0534155i
\(419\) 22.2455 + 16.1623i 1.08677 + 0.789582i 0.978850 0.204578i \(-0.0655823\pi\)
0.107916 + 0.994160i \(0.465582\pi\)
\(420\) −0.177388 + 0.247857i −0.00865566 + 0.0120942i
\(421\) 25.8507 18.7816i 1.25988 0.915359i 0.261132 0.965303i \(-0.415904\pi\)
0.998752 + 0.0499438i \(0.0159042\pi\)
\(422\) 1.73009 10.9234i 0.0842194 0.531741i
\(423\) −34.9471 + 15.2360i −1.69919 + 0.740800i
\(424\) 6.78917i 0.329711i
\(425\) 15.2858 3.60283i 0.741470 0.174763i
\(426\) 20.8346 + 7.46889i 1.00944 + 0.361869i
\(427\) −0.142585 + 0.279839i −0.00690018 + 0.0135424i
\(428\) 19.2226 + 3.04457i 0.929162 + 0.147165i
\(429\) −9.33242 + 2.72509i −0.450573 + 0.131569i
\(430\) −1.09449 2.98580i −0.0527812 0.143988i
\(431\) 5.09101 7.00718i 0.245225 0.337524i −0.668607 0.743616i \(-0.733109\pi\)
0.913832 + 0.406093i \(0.133109\pi\)
\(432\) 1.27167 5.03814i 0.0611835 0.242398i
\(433\) 10.6490 1.68664i 0.511760 0.0810548i 0.104786 0.994495i \(-0.466584\pi\)
0.406974 + 0.913440i \(0.366584\pi\)
\(434\) −0.232360 + 0.715129i −0.0111536 + 0.0343273i
\(435\) −26.7693 + 4.43604i −1.28349 + 0.212692i
\(436\) 3.80299 + 11.7044i 0.182130 + 0.560538i
\(437\) −1.59026 3.12107i −0.0760726 0.149301i
\(438\) 2.28169 0.291399i 0.109023 0.0139236i
\(439\) −32.6251 + 10.6006i −1.55711 + 0.505937i −0.956035 0.293253i \(-0.905262\pi\)
−0.601078 + 0.799190i \(0.705262\pi\)
\(440\) −2.15128 + 1.19892i −0.102558 + 0.0571563i
\(441\) −17.6845 + 11.2906i −0.842121 + 0.537646i
\(442\) 2.50408 + 15.8101i 0.119107 + 0.752011i
\(443\) 4.58214 + 4.58214i 0.217704 + 0.217704i 0.807530 0.589826i \(-0.200804\pi\)
−0.589826 + 0.807530i \(0.700804\pi\)
\(444\) 14.8272 10.1060i 0.703666 0.479612i
\(445\) 6.88409 2.52347i 0.326337 0.119624i
\(446\) 3.22891 + 4.44421i 0.152893 + 0.210439i
\(447\) −11.9592 + 21.8241i −0.565653 + 1.03224i
\(448\) −0.0701201 0.0357280i −0.00331286 0.00168799i
\(449\) −22.7460 −1.07345 −0.536726 0.843756i \(-0.680339\pi\)
−0.536726 + 0.843756i \(0.680339\pi\)
\(450\) 2.55788 + 14.7803i 0.120580 + 0.696750i
\(451\) −4.11362 −0.193703
\(452\) −6.80204 3.46581i −0.319941 0.163018i
\(453\) −0.271710 + 0.495835i −0.0127660 + 0.0232964i
\(454\) −3.97531 5.47155i −0.186571 0.256792i
\(455\) 0.862639 + 0.245221i 0.0404411 + 0.0114961i
\(456\) −2.00693 + 1.36790i −0.0939831 + 0.0640580i
\(457\) −6.28077 6.28077i −0.293802 0.293802i 0.544778 0.838580i \(-0.316614\pi\)
−0.838580 + 0.544778i \(0.816614\pi\)
\(458\) −0.475131 2.99986i −0.0222014 0.140174i
\(459\) 15.9130 3.62525i 0.742756 0.169212i
\(460\) −1.07837 5.48067i −0.0502790 0.255537i
\(461\) 21.3397 6.93369i 0.993889 0.322934i 0.233468 0.972364i \(-0.424993\pi\)
0.760421 + 0.649430i \(0.224993\pi\)
\(462\) 0.148920 0.0190189i 0.00692839 0.000884839i
\(463\) 10.9916 + 21.5722i 0.510823 + 1.00255i 0.992037 + 0.125944i \(0.0401959\pi\)
−0.481214 + 0.876603i \(0.659804\pi\)
\(464\) −2.16499 6.66317i −0.100507 0.309330i
\(465\) 17.0350 + 32.8510i 0.789981 + 1.52343i
\(466\) −0.427269 + 1.31500i −0.0197929 + 0.0609161i
\(467\) 13.3049 2.10730i 0.615679 0.0975140i 0.159197 0.987247i \(-0.449109\pi\)
0.456482 + 0.889733i \(0.349109\pi\)
\(468\) −15.2171 + 1.48024i −0.703413 + 0.0684240i
\(469\) 0.308025 0.423960i 0.0142233 0.0195766i
\(470\) 23.5942 + 15.8360i 1.08832 + 0.730460i
\(471\) −8.17208 + 2.38627i −0.376550 + 0.109954i
\(472\) −6.50902 1.03093i −0.299602 0.0474523i
\(473\) −0.711123 + 1.39566i −0.0326975 + 0.0641724i
\(474\) 16.2371 + 5.82076i 0.745793 + 0.267356i
\(475\) 3.68813 5.96284i 0.169223 0.273594i
\(476\) 0.247184i 0.0113296i
\(477\) −8.13976 18.6703i −0.372694 0.854855i
\(478\) −1.77878 + 11.2308i −0.0813596 + 0.513684i
\(479\) −13.9808 + 10.1576i −0.638797 + 0.464113i −0.859437 0.511242i \(-0.829186\pi\)
0.220639 + 0.975355i \(0.429186\pi\)
\(480\) −3.67479 + 1.22309i −0.167730 + 0.0558263i
\(481\) −42.7136 31.0332i −1.94757 1.41499i
\(482\) −6.23914 + 6.23914i −0.284185 + 0.284185i
\(483\) −0.0633484 + 0.334556i −0.00288245 + 0.0152228i
\(484\) −9.30791 3.02432i −0.423087 0.137469i
\(485\) 2.77611 23.0458i 0.126057 1.04646i
\(486\) 2.54327 + 15.3796i 0.115365 + 0.697632i
\(487\) 3.22789 1.64469i 0.146270 0.0745281i −0.379324 0.925264i \(-0.623843\pi\)
0.525593 + 0.850736i \(0.323843\pi\)
\(488\) −3.55588 + 1.81181i −0.160967 + 0.0820169i
\(489\) −2.65401 0.0797909i −0.120019 0.00360827i
\(490\) 14.1885 + 6.57669i 0.640971 + 0.297105i
\(491\) 5.48953 + 1.78366i 0.247739 + 0.0804953i 0.430254 0.902708i \(-0.358424\pi\)
−0.182515 + 0.983203i \(0.558424\pi\)
\(492\) −6.35610 1.20353i −0.286555 0.0542593i
\(493\) 15.5603 15.5603i 0.700800 0.700800i
\(494\) 5.78150 + 4.20051i 0.260122 + 0.188990i
\(495\) 4.47861 5.87628i 0.201298 0.264119i
\(496\) −7.72991 + 5.61611i −0.347083 + 0.252171i
\(497\) −0.157315 + 0.993249i −0.00705655 + 0.0445533i
\(498\) 1.04744 + 1.11237i 0.0469370 + 0.0498467i
\(499\) 28.5582i 1.27844i −0.769024 0.639220i \(-0.779257\pi\)
0.769024 0.639220i \(-0.220743\pi\)
\(500\) 8.25702 7.53801i 0.369265 0.337110i
\(501\) −13.0826 + 36.4940i −0.584486 + 1.63043i
\(502\) 6.63296 13.0179i 0.296044 0.581018i
\(503\) 23.7938 + 3.76856i 1.06091 + 0.168032i 0.662414 0.749138i \(-0.269532\pi\)
0.398497 + 0.917170i \(0.369532\pi\)
\(504\) 0.235666 + 0.0141831i 0.0104974 + 0.000631765i
\(505\) 31.3674 1.16730i 1.39583 0.0519444i
\(506\) −1.61718 + 2.22586i −0.0718926 + 0.0989517i
\(507\) 9.59451 + 20.3176i 0.426107 + 0.902335i
\(508\) −3.18243 + 0.504047i −0.141197 + 0.0223635i
\(509\) 1.35722 4.17708i 0.0601576 0.185146i −0.916462 0.400123i \(-0.868968\pi\)
0.976619 + 0.214977i \(0.0689675\pi\)
\(510\) −8.66300 8.54014i −0.383604 0.378164i
\(511\) 0.0322963 + 0.0993978i 0.00142870 + 0.00439710i
\(512\) −0.453990 0.891007i −0.0200637 0.0393773i
\(513\) 3.87906 6.16793i 0.171265 0.272321i
\(514\) 2.11472 0.687116i 0.0932765 0.0303074i
\(515\) −29.3136 3.53113i −1.29171 0.155600i
\(516\) −1.50711 + 1.94843i −0.0663470 + 0.0857747i
\(517\) −2.18954 13.8242i −0.0962960 0.607989i
\(518\) 0.576498 + 0.576498i 0.0253299 + 0.0253299i
\(519\) −13.8269 20.2863i −0.606934 0.890468i
\(520\) 7.03646 + 8.96386i 0.308569 + 0.393091i
\(521\) −3.85216 5.30205i −0.168766 0.232287i 0.716254 0.697840i \(-0.245855\pi\)
−0.885020 + 0.465553i \(0.845855\pi\)
\(522\) 13.9424 + 15.7281i 0.610244 + 0.688401i
\(523\) 7.96973 + 4.06078i 0.348492 + 0.177566i 0.619471 0.785020i \(-0.287347\pi\)
−0.270979 + 0.962585i \(0.587347\pi\)
\(524\) −5.31824 −0.232328
\(525\) −0.638212 + 0.239131i −0.0278539 + 0.0104365i
\(526\) −19.3769 −0.844875
\(527\) −26.7397 13.6245i −1.16480 0.593494i
\(528\) 1.67296 + 0.916756i 0.0728063 + 0.0398967i
\(529\) 9.85121 + 13.5590i 0.428314 + 0.589523i
\(530\) −8.46029 + 12.6051i −0.367492 + 0.547529i
\(531\) 19.1359 4.96881i 0.830427 0.215628i
\(532\) −0.0780320 0.0780320i −0.00338312 0.00338312i
\(533\) 2.97762 + 18.7999i 0.128975 + 0.814315i
\(534\) −4.49231 3.47481i −0.194401 0.150370i
\(535\) 31.8956 + 29.6069i 1.37897 + 1.28002i
\(536\) 6.33303 2.05773i 0.273545 0.0888803i
\(537\) −3.33318 26.0992i −0.143837 1.12626i
\(538\) −2.49491 4.89653i −0.107563 0.211105i
\(539\) −2.38035 7.32596i −0.102529 0.315551i
\(540\) 8.63930 7.76934i 0.371776 0.334339i
\(541\) 4.98127 15.3308i 0.214161 0.659121i −0.785051 0.619432i \(-0.787363\pi\)
0.999212 0.0396896i \(-0.0126369\pi\)
\(542\) 7.35189 1.16442i 0.315791 0.0500163i
\(543\) −16.0863 + 7.59639i −0.690329 + 0.325992i
\(544\) 1.84619 2.54107i 0.0791548 0.108947i
\(545\) −7.52457 + 26.4699i −0.322317 + 1.13385i
\(546\) −0.194715 0.666824i −0.00833301 0.0285374i
\(547\) −23.3625 3.70025i −0.998907 0.158211i −0.364494 0.931206i \(-0.618758\pi\)
−0.634413 + 0.772994i \(0.718758\pi\)
\(548\) −5.21451 + 10.2341i −0.222753 + 0.437177i
\(549\) 7.60647 9.24576i 0.324636 0.394599i
\(550\) −5.48818 0.454833i −0.234017 0.0193942i
\(551\) 9.82428i 0.418528i
\(552\) −3.15000 + 2.96612i −0.134073 + 0.126246i
\(553\) −0.122601 + 0.774072i −0.00521353 + 0.0329169i
\(554\) −15.4488 + 11.2242i −0.656355 + 0.476870i
\(555\) 40.1223 0.286540i 1.70310 0.0121629i
\(556\) 8.81992 + 6.40805i 0.374048 + 0.271762i
\(557\) −27.5142 + 27.5142i −1.16581 + 1.16581i −0.182634 + 0.983181i \(0.558462\pi\)
−0.983181 + 0.182634i \(0.941538\pi\)
\(558\) 14.5240 24.7120i 0.614850 1.04614i
\(559\) 6.89314 + 2.23972i 0.291549 + 0.0947299i
\(560\) −0.0856657 0.153714i −0.00362004 0.00649560i
\(561\) −0.180060 + 5.98918i −0.00760215 + 0.252863i
\(562\) −1.25504 + 0.639477i −0.0529408 + 0.0269747i
\(563\) 22.1789 11.3007i 0.934728 0.476267i 0.0808412 0.996727i \(-0.474239\pi\)
0.853886 + 0.520460i \(0.174239\pi\)
\(564\) 0.661442 22.0009i 0.0278517 0.926406i
\(565\) −8.31006 14.9111i −0.349607 0.627315i
\(566\) 9.06857 + 2.94656i 0.381180 + 0.123853i
\(567\) −0.665090 + 0.243544i −0.0279311 + 0.0102279i
\(568\) −9.03570 + 9.03570i −0.379129 + 0.379129i
\(569\) −25.9540 18.8567i −1.08805 0.790515i −0.108981 0.994044i \(-0.534759\pi\)
−0.979069 + 0.203529i \(0.934759\pi\)
\(570\) −5.43076 + 0.0387846i −0.227470 + 0.00162451i
\(571\) −34.1170 + 24.7874i −1.42775 + 1.03732i −0.437322 + 0.899305i \(0.644073\pi\)
−0.990430 + 0.138017i \(0.955927\pi\)
\(572\) 0.878080 5.54398i 0.0367144 0.231805i
\(573\) 13.6968 12.8973i 0.572194 0.538793i
\(574\) 0.293928i 0.0122683i
\(575\) 4.82756 11.5194i 0.201323 0.480394i
\(576\) 2.31674 + 1.90597i 0.0965306 + 0.0794156i
\(577\) −10.0150 + 19.6556i −0.416931 + 0.818274i 0.583052 + 0.812435i \(0.301859\pi\)
−0.999983 + 0.00583873i \(0.998141\pi\)
\(578\) −7.04672 1.11609i −0.293105 0.0464233i
\(579\) 9.42275 + 32.2694i 0.391596 + 1.34107i
\(580\) 4.28365 15.0690i 0.177869 0.625707i
\(581\) −0.0408054 + 0.0561638i −0.00169289 + 0.00233007i
\(582\) −16.2586 + 7.67775i −0.673940 + 0.318253i
\(583\) 7.38553 1.16975i 0.305877 0.0484462i
\(584\) −0.410385 + 1.26303i −0.0169818 + 0.0522647i
\(585\) −30.0974 16.2145i −1.24437 0.670387i
\(586\) −9.62597 29.6257i −0.397645 1.22383i
\(587\) −5.85750 11.4960i −0.241765 0.474490i 0.737958 0.674846i \(-0.235790\pi\)
−0.979723 + 0.200356i \(0.935790\pi\)
\(588\) −1.53459 12.0160i −0.0632855 0.495533i
\(589\) −12.7423 + 4.14024i −0.525039 + 0.170596i
\(590\) −10.8002 10.0252i −0.444639 0.412733i
\(591\) 16.7555 + 12.9604i 0.689230 + 0.533121i
\(592\) 1.62063 + 10.2323i 0.0666075 + 0.420543i
\(593\) 3.75033 + 3.75033i 0.154007 + 0.154007i 0.779905 0.625898i \(-0.215267\pi\)
−0.625898 + 0.779905i \(0.715267\pi\)
\(594\) −5.69979 0.515322i −0.233865 0.0211439i
\(595\) 0.308027 0.458932i 0.0126279 0.0188144i
\(596\) −8.44527 11.6239i −0.345932 0.476134i
\(597\) −24.2053 13.2641i −0.990656 0.542864i
\(598\) 11.3432 + 5.77963i 0.463856 + 0.236347i
\(599\) 29.8620 1.22013 0.610065 0.792352i \(-0.291143\pi\)
0.610065 + 0.792352i \(0.291143\pi\)
\(600\) −8.34691 2.30847i −0.340761 0.0942428i
\(601\) 19.0008 0.775058 0.387529 0.921858i \(-0.373329\pi\)
0.387529 + 0.921858i \(0.373329\pi\)
\(602\) −0.0997231 0.0508115i −0.00406441 0.00207092i
\(603\) −14.9488 + 13.2517i −0.608764 + 0.539649i
\(604\) −0.191874 0.264091i −0.00780722 0.0107457i
\(605\) −13.5127 17.2141i −0.549371 0.699853i
\(606\) −13.6938 20.0910i −0.556273 0.816139i
\(607\) 29.8007 + 29.8007i 1.20957 + 1.20957i 0.971165 + 0.238406i \(0.0766250\pi\)
0.238406 + 0.971165i \(0.423375\pi\)
\(608\) −0.219361 1.38499i −0.00889625 0.0561687i
\(609\) −0.584290 + 0.755382i −0.0236766 + 0.0306096i
\(610\) −8.85978 1.06725i −0.358722 0.0432118i
\(611\) −61.5942 + 20.0132i −2.49184 + 0.809646i
\(612\) −2.03048 + 9.20142i −0.0820775 + 0.371945i
\(613\) 0.600877 + 1.17929i 0.0242692 + 0.0476310i 0.902823 0.430013i \(-0.141491\pi\)
−0.878554 + 0.477644i \(0.841491\pi\)
\(614\) 0.683714 + 2.10425i 0.0275924 + 0.0849208i
\(615\) −10.3012 10.1551i −0.415386 0.409495i
\(616\) −0.0267848 + 0.0824351i −0.00107919 + 0.00332141i
\(617\) 41.5066 6.57400i 1.67099 0.264659i 0.752067 0.659087i \(-0.229057\pi\)
0.918927 + 0.394428i \(0.129057\pi\)
\(618\) 9.76586 + 20.6804i 0.392841 + 0.831889i
\(619\) −9.51877 + 13.1015i −0.382592 + 0.526592i −0.956269 0.292489i \(-0.905516\pi\)
0.573677 + 0.819082i \(0.305516\pi\)
\(620\) −21.3502 + 0.794523i −0.857443 + 0.0319088i
\(621\) 5.10635 11.9335i 0.204911 0.478875i
\(622\) −13.4638 2.13245i −0.539848 0.0855036i
\(623\) 0.117151 0.229923i 0.00469357 0.00921165i
\(624\) 2.97877 8.30930i 0.119246 0.332638i
\(625\) 24.7238 3.70596i 0.988952 0.148239i
\(626\) 19.0983i 0.763320i
\(627\) 1.83385 + 1.94753i 0.0732368 + 0.0777769i
\(628\) 0.768905 4.85468i 0.0306827 0.193723i
\(629\) −26.3249 + 19.1262i −1.04964 + 0.762611i
\(630\) 0.419874 + 0.320007i 0.0167282 + 0.0127494i
\(631\) −9.33690 6.78365i −0.371696 0.270053i 0.386218 0.922408i \(-0.373781\pi\)
−0.757914 + 0.652355i \(0.773781\pi\)
\(632\) −7.04182 + 7.04182i −0.280109 + 0.280109i
\(633\) −18.8212 3.56380i −0.748076 0.141648i
\(634\) −8.64124 2.80771i −0.343188 0.111508i
\(635\) −6.53674 3.02993i −0.259403 0.120239i
\(636\) 11.7539 + 0.353372i 0.466072 + 0.0140121i
\(637\) −31.7579 + 16.1814i −1.25829 + 0.641132i
\(638\) −6.87543 + 3.50321i −0.272201 + 0.138693i
\(639\) 14.0151 35.6815i 0.554428 1.41154i
\(640\) 0.267425 2.22002i 0.0105709 0.0877540i
\(641\) 15.5088 + 5.03912i 0.612561 + 0.199033i 0.598835 0.800873i \(-0.295631\pi\)
0.0137264 + 0.999906i \(0.495631\pi\)
\(642\) 6.27149 33.1211i 0.247516 1.30719i
\(643\) −12.8296 + 12.8296i −0.505952 + 0.505952i −0.913281 0.407330i \(-0.866460\pi\)
0.407330 + 0.913281i \(0.366460\pi\)
\(644\) −0.159043 0.115552i −0.00626719 0.00455338i
\(645\) −5.22619 + 1.73945i −0.205781 + 0.0684909i
\(646\) 3.56321 2.58883i 0.140193 0.101856i
\(647\) −3.97829 + 25.1179i −0.156403 + 0.987488i 0.777220 + 0.629229i \(0.216629\pi\)
−0.933622 + 0.358259i \(0.883371\pi\)
\(648\) −8.65618 2.46384i −0.340047 0.0967889i
\(649\) 7.25839i 0.284917i
\(650\) 1.89392 + 25.4111i 0.0742856 + 0.996707i
\(651\) 1.22599 + 0.439499i 0.0480502 + 0.0172253i
\(652\) 0.695961 1.36590i 0.0272559 0.0534928i
\(653\) 30.0615 + 4.76127i 1.17640 + 0.186323i 0.713867 0.700281i \(-0.246942\pi\)
0.462529 + 0.886604i \(0.346942\pi\)
\(654\) 20.4614 5.97478i 0.800103 0.233633i
\(655\) −9.87407 6.62730i −0.385812 0.258950i
\(656\) 2.19532 3.02160i 0.0857129 0.117974i
\(657\) −0.385730 3.96538i −0.0150488 0.154704i
\(658\) 0.987775 0.156448i 0.0385075 0.00609899i
\(659\) −3.19473 + 9.83236i −0.124449 + 0.383014i −0.993800 0.111180i \(-0.964537\pi\)
0.869351 + 0.494195i \(0.164537\pi\)
\(660\) 1.96368 + 3.78684i 0.0764362 + 0.147402i
\(661\) 3.97825 + 12.2438i 0.154736 + 0.476229i 0.998134 0.0610606i \(-0.0194483\pi\)
−0.843398 + 0.537289i \(0.819448\pi\)
\(662\) 5.01952 + 9.85137i 0.195089 + 0.382884i
\(663\) 27.5019 3.51232i 1.06809 0.136407i
\(664\) −0.838964 + 0.272596i −0.0325581 + 0.0105788i
\(665\) −0.0476384 0.242117i −0.00184734 0.00938888i
\(666\) −16.7245 26.1958i −0.648063 1.01507i
\(667\) −2.73781 17.2859i −0.106008 0.669311i
\(668\) −15.8270 15.8270i −0.612365 0.612365i
\(669\) 7.86218 5.35879i 0.303969 0.207183i
\(670\) 14.3224 + 4.07141i 0.553323 + 0.157292i
\(671\) 2.58363 + 3.55605i 0.0997397 + 0.137280i
\(672\) −0.0655044 + 0.119537i −0.00252689 + 0.00461124i
\(673\) 30.0291 + 15.3006i 1.15754 + 0.589794i 0.923939 0.382540i \(-0.124951\pi\)
0.233596 + 0.972334i \(0.424951\pi\)
\(674\) 17.3028 0.666479
\(675\) 25.7218 3.65907i 0.990033 0.140838i
\(676\) −12.9725 −0.498943
\(677\) −13.8891 7.07682i −0.533800 0.271984i 0.166244 0.986085i \(-0.446836\pi\)
−0.700044 + 0.714100i \(0.746836\pi\)
\(678\) −6.35430 + 11.5958i −0.244035 + 0.445333i
\(679\) −0.480192 0.660928i −0.0184281 0.0253641i
\(680\) 6.59425 2.41723i 0.252878 0.0926965i
\(681\) −9.67963 + 6.59754i −0.370924 + 0.252818i
\(682\) 7.44126 + 7.44126i 0.284940 + 0.284940i
\(683\) 4.20549 + 26.5524i 0.160919 + 1.01600i 0.927492 + 0.373844i \(0.121960\pi\)
−0.766573 + 0.642157i \(0.778040\pi\)
\(684\) 2.26375 + 3.54573i 0.0865567 + 0.135575i
\(685\) −22.4346 + 12.5029i −0.857182 + 0.477713i
\(686\) 1.04738 0.340314i 0.0399891 0.0129932i
\(687\) −5.21829 + 0.666439i −0.199090 + 0.0254262i
\(688\) −0.645655 1.26717i −0.0246154 0.0483104i
\(689\) −10.6919 32.9064i −0.407330 1.25363i
\(690\) −9.54463 + 1.58168i −0.363358 + 0.0602133i
\(691\) 7.00128 21.5477i 0.266341 0.819714i −0.725040 0.688707i \(-0.758179\pi\)
0.991381 0.131007i \(-0.0418212\pi\)
\(692\) 13.9996 2.21732i 0.532185 0.0842898i
\(693\) −0.0251756 0.258811i −0.000956343 0.00983141i
\(694\) 8.78938 12.0975i 0.333640 0.459217i
\(695\) 8.39009 + 22.8884i 0.318254 + 0.868205i
\(696\) −11.6484 + 3.40137i −0.441532 + 0.128929i
\(697\) 11.5866 + 1.83514i 0.438875 + 0.0695110i
\(698\) 0.156673 0.307489i 0.00593018 0.0116386i
\(699\) 2.25438 + 0.808162i 0.0852684 + 0.0305675i
\(700\) 0.0324990 0.392144i 0.00122834 0.0148216i
\(701\) 37.8133i 1.42819i 0.700049 + 0.714095i \(0.253161\pi\)
−0.700049 + 0.714095i \(0.746839\pi\)
\(702\) 1.77065 + 26.4220i 0.0668288 + 0.997235i
\(703\) −2.27253 + 14.3482i −0.0857102 + 0.541153i
\(704\) −0.891050 + 0.647386i −0.0335827 + 0.0243993i
\(705\) 28.6444 40.0236i 1.07881 1.50738i
\(706\) −16.2083 11.7760i −0.610007 0.443196i
\(707\) 0.781162 0.781162i 0.0293786 0.0293786i
\(708\) −2.12360 + 11.2152i −0.0798099 + 0.421493i
\(709\) 37.7779 + 12.2748i 1.41878 + 0.460989i 0.915214 0.402968i \(-0.132022\pi\)
0.503565 + 0.863958i \(0.332022\pi\)
\(710\) −28.0359 + 5.51628i −1.05217 + 0.207022i
\(711\) 10.9224 27.8078i 0.409623 1.04287i
\(712\) 2.92160 1.48863i 0.109491 0.0557887i
\(713\) −21.2664 + 10.8358i −0.796433 + 0.405803i
\(714\) −0.427941 0.0128657i −0.0160153 0.000481488i
\(715\) 8.53888 9.19897i 0.319336 0.344022i
\(716\) 14.4473 + 4.69420i 0.539919 + 0.175430i
\(717\) 19.3509 + 3.66410i 0.722673 + 0.136838i
\(718\) 12.9715 12.9715i 0.484093 0.484093i
\(719\) 25.6075 + 18.6049i 0.954998 + 0.693847i 0.951984 0.306149i \(-0.0990405\pi\)
0.00301445 + 0.999995i \(0.499040\pi\)
\(720\) 1.92623 + 6.42570i 0.0717864 + 0.239472i
\(721\) −0.840680 + 0.610790i −0.0313086 + 0.0227470i
\(722\) −2.66466 + 16.8240i −0.0991682 + 0.626124i
\(723\) 10.4769 + 11.1264i 0.389640 + 0.413794i
\(724\) 10.2709i 0.381715i
\(725\) 26.7314 22.6398i 0.992779 0.840819i
\(726\) −5.72039 + 15.9571i −0.212304 + 0.592223i
\(727\) −23.4214 + 45.9671i −0.868652 + 1.70483i −0.174934 + 0.984580i \(0.555971\pi\)
−0.693719 + 0.720246i \(0.744029\pi\)
\(728\) 0.396131 + 0.0627409i 0.0146816 + 0.00232533i
\(729\) 26.7586 3.60258i 0.991058 0.133429i
\(730\) −2.33586 + 1.83361i −0.0864541 + 0.0678648i
\(731\) 2.62561 3.61384i 0.0971117 0.133663i
\(732\) 2.95165 + 6.25049i 0.109096 + 0.231025i
\(733\) −20.9008 + 3.31036i −0.771988 + 0.122271i −0.529988 0.848005i \(-0.677803\pi\)
−0.242000 + 0.970276i \(0.577803\pi\)
\(734\) −0.00602247 + 0.0185352i −0.000222293 + 0.000684148i
\(735\) 12.1245 24.2218i 0.447220 0.893435i
\(736\) −0.771931 2.37576i −0.0284538 0.0875717i
\(737\) −3.32964 6.53478i −0.122649 0.240712i
\(738\) −2.41446 + 10.9415i −0.0888776 + 0.402761i
\(739\) 11.8537 3.85150i 0.436046 0.141680i −0.0827648 0.996569i \(-0.526375\pi\)
0.518811 + 0.854889i \(0.326375\pi\)
\(740\) −9.74194 + 21.0172i −0.358121 + 0.772607i
\(741\) 7.57313 9.79070i 0.278206 0.359670i
\(742\) 0.0835816 + 0.527714i 0.00306838 + 0.0193730i
\(743\) 2.30237 + 2.30237i 0.0844658 + 0.0844658i 0.748077 0.663612i \(-0.230977\pi\)
−0.663612 + 0.748077i \(0.730977\pi\)
\(744\) 9.32066 + 13.6749i 0.341712 + 0.501345i
\(745\) −1.19477 32.1055i −0.0437730 1.17625i
\(746\) −4.11202 5.65971i −0.150552 0.207217i
\(747\) 1.98034 1.75550i 0.0724567 0.0642305i
\(748\) −3.08236 1.57054i −0.112702 0.0574247i
\(749\) 1.53163 0.0559646
\(750\) −12.6206 14.6875i −0.460838 0.536310i
\(751\) 18.7652 0.684751 0.342375 0.939563i \(-0.388769\pi\)
0.342375 + 0.939563i \(0.388769\pi\)
\(752\) 11.3229 + 5.76930i 0.412904 + 0.210385i
\(753\) −22.1923 12.1610i −0.808731 0.443172i
\(754\) 20.9870 + 28.8861i 0.764301 + 1.05197i
\(755\) −0.0271448 0.729425i −0.000987899 0.0265465i
\(756\) 0.0368210 0.407264i 0.00133917 0.0148120i
\(757\) −7.02667 7.02667i −0.255389 0.255389i 0.567787 0.823176i \(-0.307800\pi\)
−0.823176 + 0.567787i \(0.807800\pi\)
\(758\) −1.90370 12.0195i −0.0691453 0.436567i
\(759\)