Properties

Label 150.2.l.a.53.3
Level 150
Weight 2
Character 150.53
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

Related objects

Downloads

Learn more about

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 53.3
Character \(\chi\) = 150.53
Dual form 150.2.l.a.17.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.891007 + 0.453990i) q^{2} +(-0.322239 + 1.70181i) q^{3} +(0.587785 - 0.809017i) q^{4} +(-0.0831552 + 2.23452i) q^{5} +(-0.485490 - 1.66262i) q^{6} +(0.0556476 - 0.0556476i) q^{7} +(-0.156434 + 0.987688i) q^{8} +(-2.79232 - 1.09678i) q^{9} +O(q^{10})\) \(q+(-0.891007 + 0.453990i) q^{2} +(-0.322239 + 1.70181i) q^{3} +(0.587785 - 0.809017i) q^{4} +(-0.0831552 + 2.23452i) q^{5} +(-0.485490 - 1.66262i) q^{6} +(0.0556476 - 0.0556476i) q^{7} +(-0.156434 + 0.987688i) q^{8} +(-2.79232 - 1.09678i) q^{9} +(-0.940360 - 2.02872i) q^{10} +(-1.04749 - 0.340351i) q^{11} +(1.18739 + 1.26100i) q^{12} +(-2.31368 + 4.54086i) q^{13} +(-0.0243189 + 0.0748459i) q^{14} +(-3.77594 - 0.861563i) q^{15} +(-0.309017 - 0.951057i) q^{16} +(3.10226 + 0.491350i) q^{17} +(2.98591 - 0.290452i) q^{18} +(-0.824223 - 1.13445i) q^{19} +(1.75889 + 1.38069i) q^{20} +(0.0767699 + 0.112634i) 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} +(2.76630 - 4.39859i) q^{27} +(-0.0123110 - 0.0777287i) q^{28} +(5.66803 + 4.11807i) q^{29} +(3.75553 - 0.946581i) q^{30} +(7.72991 - 5.61611i) q^{31} +(0.707107 + 0.707107i) q^{32} +(0.916756 - 1.67296i) q^{33} +(-2.98720 + 0.970601i) q^{34} +(0.119718 + 0.128973i) q^{35} +(-2.52860 + 1.61437i) q^{36} +(9.23065 + 4.70325i) q^{37} +(1.24942 + 0.636609i) q^{38} +(-6.98213 - 5.40069i) q^{39} +(-2.19400 - 0.431688i) q^{40} +(3.55210 - 1.15415i) q^{41} +(-0.119537 - 0.0655044i) q^{42} +(-1.00563 - 1.00563i) q^{43} +(-0.891050 + 0.647386i) q^{44} +(2.68297 - 6.14831i) q^{45} +(-2.02094 - 1.46830i) q^{46} +(-1.98797 - 12.5515i) q^{47} +(1.71810 - 0.219422i) 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} +(-0.467880 + 5.17504i) q^{54} +(0.847626 - 2.31234i) q^{55} +(0.0462573 + 0.0636677i) q^{56} +(2.19621 - 1.03711i) q^{57} +(-6.91981 - 1.09599i) q^{58} +(2.03647 + 6.26761i) q^{59} +(-2.91646 + 2.54838i) q^{60} +(1.23324 - 3.79553i) q^{61} +(-4.33774 + 8.51329i) q^{62} +(-0.216419 + 0.0943531i) q^{63} +(-0.951057 - 0.309017i) q^{64} +(-9.95425 - 5.54757i) q^{65} +(-0.0573270 + 1.90682i) q^{66} +(-1.04169 + 6.57696i) q^{67} +(2.22097 - 2.22097i) q^{68} +(-4.15326 + 1.21276i) q^{69} +(-0.165222 - 0.0605649i) q^{70} +(-7.51096 + 10.3379i) q^{71} +(1.52009 - 2.58637i) q^{72} +(1.18329 - 0.602914i) q^{73} -10.3598 q^{74} +(2.23917 - 8.36577i) q^{75} -1.40225 q^{76} +(-0.0772302 + 0.0393507i) q^{77} +(8.67298 + 1.64223i) q^{78} +(5.85354 - 8.05671i) q^{79} +(2.15085 - 0.611420i) q^{80} +(6.59415 + 6.12512i) q^{81} +(-2.64098 + 2.64098i) q^{82} +(-0.137997 + 0.871279i) q^{83} +(0.136247 + 0.00409615i) q^{84} +(-1.35590 + 6.89121i) q^{85} +(1.35257 + 0.439477i) q^{86} +(-8.83463 + 8.31892i) q^{87} +(0.500025 - 0.981353i) q^{88} +(1.01326 - 3.11850i) q^{89} +(0.400727 + 6.69622i) q^{90} +(0.123937 + 0.381439i) q^{91} +(2.46727 + 0.390777i) q^{92} +(7.06668 + 14.9646i) q^{93} +(7.46957 + 10.2810i) q^{94} +(2.60348 - 1.74741i) q^{95} +(-1.43122 + 0.975505i) 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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{20}\right)\)

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
\(3\) −0.322239 + 1.70181i −0.186045 + 0.982541i
\(4\) 0.587785 0.809017i 0.293893 0.404508i
\(5\) −0.0831552 + 2.23452i −0.0371882 + 0.999308i
\(6\) −0.485490 1.66262i −0.198200 0.678761i
\(7\) 0.0556476 0.0556476i 0.0210328 0.0210328i −0.696512 0.717545i \(-0.745266\pi\)
0.717545 + 0.696512i \(0.245266\pi\)
\(8\) −0.156434 + 0.987688i −0.0553079 + 0.349201i
\(9\) −2.79232 1.09678i −0.930775 0.365593i
\(10\) −0.940360 2.02872i −0.297368 0.641539i
\(11\) −1.04749 0.340351i −0.315831 0.102620i 0.146812 0.989164i \(-0.453099\pi\)
−0.462643 + 0.886545i \(0.653099\pi\)
\(12\) 1.18739 + 1.26100i 0.342769 + 0.364018i
\(13\) −2.31368 + 4.54086i −0.641700 + 1.25941i 0.309520 + 0.950893i \(0.399832\pi\)
−0.951220 + 0.308514i \(0.900168\pi\)
\(14\) −0.0243189 + 0.0748459i −0.00649950 + 0.0200034i
\(15\) −3.77594 0.861563i −0.974943 0.222455i
\(16\) −0.309017 0.951057i −0.0772542 0.237764i
\(17\) 3.10226 + 0.491350i 0.752408 + 0.119170i 0.520846 0.853650i \(-0.325616\pi\)
0.231562 + 0.972820i \(0.425616\pi\)
\(18\) 2.98591 0.290452i 0.703785 0.0684602i
\(19\) −0.824223 1.13445i −0.189090 0.260260i 0.703938 0.710262i \(-0.251423\pi\)
−0.893028 + 0.450002i \(0.851423\pi\)
\(20\) 1.75889 + 1.38069i 0.393299 + 0.308732i
\(21\) 0.0767699 + 0.112634i 0.0167526 + 0.0245787i
\(22\) 1.08784 0.172297i 0.231928 0.0367338i
\(23\) 1.13408 + 2.22575i 0.236472 + 0.464102i 0.978495 0.206273i \(-0.0661334\pi\)
−0.742023 + 0.670375i \(0.766133\pi\)
\(24\) −1.63045 0.584493i −0.332814 0.119309i
\(25\) −4.98617 0.371624i −0.997234 0.0743249i
\(26\) 5.09632i 0.999471i
\(27\) 2.76630 4.39859i 0.532376 0.846508i
\(28\) −0.0123110 0.0777287i −0.00232656 0.0146893i
\(29\) 5.66803 + 4.11807i 1.05253 + 0.764705i 0.972691 0.232103i \(-0.0745605\pi\)
0.0798355 + 0.996808i \(0.474560\pi\)
\(30\) 3.75553 0.946581i 0.685662 0.172821i
\(31\) 7.72991 5.61611i 1.38833 1.00868i 0.392287 0.919843i \(-0.371684\pi\)
0.996046 0.0888399i \(-0.0283160\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) 0.916756 1.67296i 0.159587 0.291225i
\(34\) −2.98720 + 0.970601i −0.512301 + 0.166457i
\(35\) 0.119718 + 0.128973i 0.0202361 + 0.0218004i
\(36\) −2.52860 + 1.61437i −0.421433 + 0.269061i
\(37\) 9.23065 + 4.70325i 1.51751 + 0.773210i 0.996755 0.0804961i \(-0.0256505\pi\)
0.520755 + 0.853706i \(0.325650\pi\)
\(38\) 1.24942 + 0.636609i 0.202682 + 0.103272i
\(39\) −6.98213 5.40069i −1.11803 0.864803i
\(40\) −2.19400 0.431688i −0.346902 0.0682558i
\(41\) 3.55210 1.15415i 0.554745 0.180248i −0.0182101 0.999834i \(-0.505797\pi\)
0.572956 + 0.819586i \(0.305797\pi\)
\(42\) −0.119537 0.0655044i −0.0184450 0.0101075i
\(43\) −1.00563 1.00563i −0.153357 0.153357i 0.626258 0.779616i \(-0.284586\pi\)
−0.779616 + 0.626258i \(0.784586\pi\)
\(44\) −0.891050 + 0.647386i −0.134331 + 0.0975971i
\(45\) 2.68297 6.14831i 0.399954 0.916535i
\(46\) −2.02094 1.46830i −0.297972 0.216489i
\(47\) −1.98797 12.5515i −0.289975 1.83083i −0.515858 0.856674i \(-0.672527\pi\)
0.225883 0.974154i \(-0.427473\pi\)
\(48\) 1.71810 0.219422i 0.247986 0.0316708i
\(49\) 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 \(-0.704407\pi\)
−0.322154 + 0.946687i \(0.604407\pi\)
\(54\) −0.467880 + 5.17504i −0.0636704 + 0.704234i
\(55\) 0.847626 2.31234i 0.114294 0.311796i
\(56\) 0.0462573 + 0.0636677i 0.00618139 + 0.00850795i
\(57\) 2.19621 1.03711i 0.290895 0.137369i
\(58\) −6.91981 1.09599i −0.908616 0.143911i
\(59\) 2.03647 + 6.26761i 0.265126 + 0.815974i 0.991664 + 0.128848i \(0.0411279\pi\)
−0.726538 + 0.687126i \(0.758872\pi\)
\(60\) −2.91646 + 2.54838i −0.376513 + 0.328995i
\(61\) 1.23324 3.79553i 0.157901 0.485968i −0.840543 0.541745i \(-0.817764\pi\)
0.998443 + 0.0557774i \(0.0177637\pi\)
\(62\) −4.33774 + 8.51329i −0.550894 + 1.08119i
\(63\) −0.216419 + 0.0943531i −0.0272663 + 0.0118874i
\(64\) −0.951057 0.309017i −0.118882 0.0386271i
\(65\) −9.95425 5.54757i −1.23467 0.688091i
\(66\) −0.0573270 + 1.90682i −0.00705647 + 0.234713i
\(67\) −1.04169 + 6.57696i −0.127263 + 0.803504i 0.838657 + 0.544660i \(0.183341\pi\)
−0.965919 + 0.258844i \(0.916659\pi\)
\(68\) 2.22097 2.22097i 0.269332 0.269332i
\(69\) −4.15326 + 1.21276i −0.499993 + 0.146000i
\(70\) −0.165222 0.0605649i −0.0197479 0.00723889i
\(71\) −7.51096 + 10.3379i −0.891387 + 1.22689i 0.0817481 + 0.996653i \(0.473950\pi\)
−0.973135 + 0.230236i \(0.926050\pi\)
\(72\) 1.52009 2.58637i 0.179144 0.304807i
\(73\) 1.18329 0.602914i 0.138493 0.0705658i −0.383371 0.923595i \(-0.625237\pi\)
0.521864 + 0.853029i \(0.325237\pi\)
\(74\) −10.3598 −1.20430
\(75\) 2.23917 8.36577i 0.258557 0.965996i
\(76\) −1.40225 −0.160849
\(77\) −0.0772302 + 0.0393507i −0.00880119 + 0.00448443i
\(78\) 8.67298 + 1.64223i 0.982022 + 0.185946i
\(79\) 5.85354 8.05671i 0.658575 0.906451i −0.340858 0.940115i \(-0.610718\pi\)
0.999433 + 0.0336639i \(0.0107176\pi\)
\(80\) 2.15085 0.611420i 0.240473 0.0683588i
\(81\) 6.59415 + 6.12512i 0.732684 + 0.680569i
\(82\) −2.64098 + 2.64098i −0.291647 + 0.291647i
\(83\) −0.137997 + 0.871279i −0.0151471 + 0.0956353i −0.994104 0.108433i \(-0.965417\pi\)
0.978957 + 0.204069i \(0.0654166\pi\)
\(84\) 0.136247 + 0.00409615i 0.0148657 + 0.000446927i
\(85\) −1.35590 + 6.89121i −0.147068 + 0.747456i
\(86\) 1.35257 + 0.439477i 0.145851 + 0.0473900i
\(87\) −8.83463 + 8.31892i −0.947172 + 0.891882i
\(88\) 0.500025 0.981353i 0.0533028 0.104613i
\(89\) 1.01326 3.11850i 0.107406 0.330560i −0.882882 0.469595i \(-0.844400\pi\)
0.990288 + 0.139035i \(0.0444000\pi\)
\(90\) 0.400727 + 6.69622i 0.0422404 + 0.705844i
\(91\) 0.123937 + 0.381439i 0.0129921 + 0.0399856i
\(92\) 2.46727 + 0.390777i 0.257230 + 0.0407413i
\(93\) 7.06668 + 14.9646i 0.732781 + 1.55175i
\(94\) 7.46957 + 10.2810i 0.770427 + 1.06040i
\(95\) 2.60348 1.74741i 0.267112 0.179280i
\(96\) −1.43122 + 0.975505i −0.146073 + 0.0995621i
\(97\) −10.2531 + 1.62393i −1.04104 + 0.164885i −0.653469 0.756953i \(-0.726687\pi\)
−0.387575 + 0.921838i \(0.626687\pi\)
\(98\) −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 \(-0.246104\pi\)
\(102\) −0.689188 5.39642i −0.0682398 0.534325i
\(103\) −2.06559 13.0416i −0.203529 1.28503i −0.851900 0.523705i \(-0.824549\pi\)
0.648371 0.761324i \(-0.275451\pi\)
\(104\) −4.12301 2.99554i −0.404295 0.293737i
\(105\) −0.258066 + 0.162178i −0.0251846 + 0.0158269i
\(106\) 5.49256 3.99058i 0.533484 0.387599i
\(107\) −13.7619 13.7619i −1.33041 1.33041i −0.904999 0.425413i \(-0.860129\pi\)
−0.425413 0.904999i \(-0.639871\pi\)
\(108\) −1.93254 4.82341i −0.185958 0.464133i
\(109\) 11.7044 3.80299i 1.12108 0.364260i 0.310898 0.950443i \(-0.399370\pi\)
0.810178 + 0.586183i \(0.199370\pi\)
\(110\) 0.294541 + 2.44513i 0.0280834 + 0.233134i
\(111\) −10.9785 + 14.1933i −1.04204 + 1.34716i
\(112\) −0.0701201 0.0357280i −0.00662572 0.00337598i
\(113\) 6.80204 + 3.46581i 0.639882 + 0.326036i 0.743654 0.668565i \(-0.233091\pi\)
−0.103771 + 0.994601i \(0.533091\pi\)
\(114\) −1.48600 + 1.92113i −0.139177 + 0.179930i
\(115\) −5.06780 + 2.34904i −0.472575 + 0.219049i
\(116\) 6.66317 2.16499i 0.618660 0.201015i
\(117\) 11.4409 10.1420i 1.05771 0.937624i
\(118\) −4.65995 4.65995i −0.428983 0.428983i
\(119\) 0.199976 0.145291i 0.0183317 0.0133188i
\(120\) 1.44164 3.59467i 0.131603 0.328147i
\(121\) −7.91779 5.75261i −0.719799 0.522964i
\(122\) 0.624308 + 3.94172i 0.0565222 + 0.356867i
\(123\) 0.819518 + 6.41692i 0.0738935 + 0.578594i
\(124\) 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 0.816954 0.576703i \(-0.195661\pi\)
−0.946756 + 0.321952i \(0.895661\pi\)
\(128\) 0.987688 0.156434i 0.0873001 0.0138270i
\(129\) 2.03545 1.38734i 0.179211 0.122149i
\(130\) 11.3878 + 0.423786i 0.998780 + 0.0371685i
\(131\) 3.12598 + 4.30255i 0.273118 + 0.375915i 0.923439 0.383744i \(-0.125366\pi\)
−0.650321 + 0.759660i \(0.725366\pi\)
\(132\) −0.814598 1.72501i −0.0709017 0.150143i
\(133\) −0.108995 0.0172632i −0.00945109 0.00149690i
\(134\) −2.05773 6.33303i −0.177761 0.547091i
\(135\) 9.59870 + 6.54713i 0.826125 + 0.563487i
\(136\) −0.970601 + 2.98720i −0.0832283 + 0.256150i
\(137\) −5.21451 + 10.2341i −0.445506 + 0.874354i 0.553629 + 0.832763i \(0.313243\pi\)
−0.999135 + 0.0415907i \(0.986757\pi\)
\(138\) 3.15000 2.96612i 0.268146 0.252493i
\(139\) 10.3684 + 3.36891i 0.879440 + 0.285747i 0.713725 0.700426i \(-0.247007\pi\)
0.165715 + 0.986174i \(0.447007\pi\)
\(140\) 0.174710 0.0210457i 0.0147657 0.00177868i
\(141\) 22.0009 + 0.661442i 1.85281 + 0.0557034i
\(142\) 1.99898 12.6211i 0.167751 1.05914i
\(143\) 3.96905 3.96905i 0.331909 0.331909i
\(144\) −0.180223 + 2.99458i −0.0150186 + 0.249548i
\(145\) −9.67323 + 12.3229i −0.803318 + 1.02336i
\(146\) −0.780598 + 1.07440i −0.0646028 + 0.0889181i
\(147\) −11.9021 2.25367i −0.981672 0.185880i
\(148\) 9.23065 4.70325i 0.758755 0.386605i
\(149\) 14.3679 1.17707 0.588534 0.808472i \(-0.299705\pi\)
0.588534 + 0.808472i \(0.299705\pi\)
\(150\) 1.80286 + 8.47052i 0.147203 + 0.691615i
\(151\) −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
\(153\) −8.12361 4.77450i −0.656755 0.385995i
\(154\) 0.0509477 0.0701235i 0.00410548 0.00565071i
\(155\) 11.9065 + 17.7397i 0.956356 + 1.42488i
\(156\) −8.47324 + 2.47421i −0.678402 + 0.198096i
\(157\) −3.47556 + 3.47556i −0.277380 + 0.277380i −0.832062 0.554682i \(-0.812840\pi\)
0.554682 + 0.832062i \(0.312840\pi\)
\(158\) −1.55788 + 9.83604i −0.123938 + 0.782513i
\(159\) 0.353372 11.7539i 0.0280242 0.932144i
\(160\) −1.63884 + 1.52125i −0.129562 + 0.120265i
\(161\) 0.186967 + 0.0607491i 0.0147350 + 0.00478770i
\(162\) −8.65618 2.46384i −0.680094 0.193578i
\(163\) −0.695961 + 1.36590i −0.0545119 + 0.106986i −0.916655 0.399679i \(-0.869122\pi\)
0.862143 + 0.506664i \(0.169122\pi\)
\(164\) 1.15415 3.55210i 0.0901239 0.277373i
\(165\) 3.66203 + 2.18763i 0.285089 + 0.170306i
\(166\) −0.272596 0.838964i −0.0211576 0.0651163i
\(167\) 22.1072 + 3.50144i 1.71071 + 0.270949i 0.933573 0.358387i \(-0.116673\pi\)
0.777133 + 0.629336i \(0.216673\pi\)
\(168\) −0.123256 + 0.0582050i −0.00950943 + 0.00449061i
\(169\) −7.62505 10.4950i −0.586542 0.807306i
\(170\) −1.92043 6.75568i −0.147290 0.518137i
\(171\) 1.05726 + 4.07173i 0.0808509 + 0.311373i
\(172\) −1.40467 + 0.222477i −0.107105 + 0.0169637i
\(173\) −6.43491 12.6292i −0.489237 0.960182i −0.995222 0.0976395i \(-0.968871\pi\)
0.505985 0.862542i \(-0.331129\pi\)
\(174\) 4.09500 11.4230i 0.310441 0.865979i
\(175\) −0.298148 + 0.256788i −0.0225379 + 0.0194114i
\(176\) 1.10140i 0.0830211i
\(177\) −11.3225 + 1.44602i −0.851053 + 0.108690i
\(178\) 0.512946 + 3.23861i 0.0384469 + 0.242744i
\(179\) −12.2896 8.92889i −0.918565 0.667377i 0.0246011 0.999697i \(-0.492168\pi\)
−0.943167 + 0.332320i \(0.892168\pi\)
\(180\) −3.39707 5.78445i −0.253203 0.431148i
\(181\) −8.30933 + 6.03708i −0.617627 + 0.448733i −0.852092 0.523392i \(-0.824666\pi\)
0.234465 + 0.972125i \(0.424666\pi\)
\(182\) −0.283598 0.283598i −0.0210217 0.0210217i
\(183\) 6.06188 + 3.32181i 0.448107 + 0.245556i
\(184\) −2.37576 + 0.771931i −0.175143 + 0.0569075i
\(185\) −11.2771 + 20.2350i −0.829109 + 1.48771i
\(186\) −13.0902 10.1253i −0.959823 0.742425i
\(187\) −3.08236 1.57054i −0.225405 0.114849i
\(188\) −11.3229 5.76930i −0.825807 0.420770i
\(189\) −0.0908325 0.398709i −0.00660709 0.0290018i
\(190\) −1.52641 + 2.73891i −0.110738 + 0.198701i
\(191\) −10.3303 + 3.35652i −0.747475 + 0.242869i −0.657894 0.753110i \(-0.728553\pi\)
−0.0895805 + 0.995980i \(0.528553\pi\)
\(192\) 0.832356 1.51894i 0.0600701 0.109620i
\(193\) −13.7241 13.7241i −0.987880 0.987880i 0.0120476 0.999927i \(-0.496165\pi\)
−0.999927 + 0.0120476i \(0.996165\pi\)
\(194\) 8.39833 6.10174i 0.602965 0.438080i
\(195\) 12.6486 15.1526i 0.905782 1.08510i
\(196\) 5.65811 + 4.11086i 0.404151 + 0.293633i
\(197\) 1.91320 + 12.0795i 0.136310 + 0.860625i 0.957176 + 0.289506i \(0.0934909\pi\)
−0.820867 + 0.571120i \(0.806509\pi\)
\(198\) −3.22657 0.712010i −0.229302 0.0506003i
\(199\) 15.9356i 1.12965i 0.825212 + 0.564823i \(0.191056\pi\)
−0.825212 + 0.564823i \(0.808944\pi\)
\(200\) 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
\(204\) 3.06399 + 4.49536i 0.214522 + 0.314738i
\(205\) 2.28359 + 8.03322i 0.159493 + 0.561065i
\(206\) 7.76123 + 10.6824i 0.540750 + 0.744279i
\(207\) −0.725556 7.45886i −0.0504296 0.518427i
\(208\) 5.03358 + 0.797241i 0.349016 + 0.0552787i
\(209\) 0.477258 + 1.46885i 0.0330126 + 0.101602i
\(210\) 0.156311 0.261661i 0.0107865 0.0180563i
\(211\) −3.41758 + 10.5182i −0.235276 + 0.724104i 0.761809 + 0.647802i \(0.224311\pi\)
−0.997085 + 0.0763026i \(0.975689\pi\)
\(212\) −3.08222 + 6.04920i −0.211688 + 0.415461i
\(213\) −15.1729 16.1135i −1.03963 1.10408i
\(214\) 18.5097 + 6.01417i 1.26530 + 0.411120i
\(215\) 2.33073 2.16348i 0.158954 0.147548i
\(216\) 3.91169 + 3.42034i 0.266157 + 0.232724i
\(217\) 0.117628 0.742674i 0.00798511 0.0504160i
\(218\) −8.70216 + 8.70216i −0.589385 + 0.589385i
\(219\) 0.644746 + 2.20801i 0.0435679 + 0.149204i
\(220\) −1.37250 2.04490i −0.0925341 0.137867i
\(221\) −9.40879 + 12.9501i −0.632904 + 0.871117i
\(222\) 3.33833 17.6304i 0.224054 1.18328i
\(223\) 4.89460 2.49393i 0.327767 0.167006i −0.282362 0.959308i \(-0.591118\pi\)
0.610129 + 0.792302i \(0.291118\pi\)
\(224\) 0.0786976 0.00525820
\(225\) 13.5154 + 6.50642i 0.901028 + 0.433761i
\(226\) −7.63411 −0.507814
\(227\) 6.02606 3.07043i 0.399964 0.203792i −0.242426 0.970170i \(-0.577943\pi\)
0.642390 + 0.766378i \(0.277943\pi\)
\(228\) 0.451860 2.38637i 0.0299251 0.158041i
\(229\) −1.78525 + 2.45719i −0.117973 + 0.162376i −0.863919 0.503630i \(-0.831997\pi\)
0.745947 + 0.666006i \(0.231997\pi\)
\(230\) 3.44900 4.39374i 0.227420 0.289715i
\(231\) −0.0420810 0.144111i −0.00276873 0.00948184i
\(232\) −4.95404 + 4.95404i −0.325249 + 0.325249i
\(233\) −0.216297 + 1.36565i −0.0141701 + 0.0894666i −0.993760 0.111541i \(-0.964421\pi\)
0.979590 + 0.201007i \(0.0644215\pi\)
\(234\) −5.58954 + 14.2306i −0.365400 + 0.930283i
\(235\) 28.2120 3.39843i 1.84035 0.221689i
\(236\) 6.26761 + 2.03647i 0.407987 + 0.132563i
\(237\) 11.8248 + 12.5578i 0.768101 + 0.815717i
\(238\) −0.112219 + 0.220242i −0.00727408 + 0.0142762i
\(239\) −3.51376 + 10.8143i −0.227287 + 0.699516i 0.770765 + 0.637120i \(0.219874\pi\)
−0.998051 + 0.0623963i \(0.980126\pi\)
\(240\) 0.347433 + 3.85737i 0.0224267 + 0.248992i
\(241\) −2.72661 8.39163i −0.175636 0.540552i 0.824026 0.566552i \(-0.191723\pi\)
−0.999662 + 0.0259998i \(0.991723\pi\)
\(242\) 9.66643 + 1.53101i 0.621382 + 0.0984172i
\(243\) −12.5487 + 9.24826i −0.804999 + 0.593276i
\(244\) −2.34577 3.22867i −0.150172 0.206695i
\(245\) −15.6278 0.581572i −0.998424 0.0371553i
\(246\) −3.64342 5.34547i −0.232296 0.340814i
\(247\) 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 \(-0.152545\pi\)
\(252\) −0.0508748 + 0.230546i −0.00320481 + 0.0145230i
\(253\) −0.430401 2.71745i −0.0270591 0.170844i
\(254\) 2.60673 + 1.89390i 0.163561 + 0.118834i
\(255\) −11.2906 4.52810i −0.707045 0.283561i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −1.57229 1.57229i −0.0980767 0.0980767i 0.656366 0.754443i \(-0.272093\pi\)
−0.754443 + 0.656366i \(0.772093\pi\)
\(258\) −1.18376 + 2.16020i −0.0736975 + 0.134488i
\(259\) 0.775389 0.251939i 0.0481803 0.0156547i
\(260\) −10.3390 + 4.79238i −0.641200 + 0.297211i
\(261\) −11.3104 17.7155i −0.700095 1.09656i
\(262\) −4.73859 2.41443i −0.292751 0.149164i
\(263\) 17.2650 + 8.79695i 1.06460 + 0.542443i 0.896371 0.443304i \(-0.146194\pi\)
0.168233 + 0.985747i \(0.446194\pi\)
\(264\) 1.50895 + 1.16718i 0.0928695 + 0.0718348i
\(265\) −1.81559 15.0721i −0.111531 0.925872i
\(266\) 0.104953 0.0341012i 0.00643507 0.00209088i
\(267\) 4.98058 + 2.72928i 0.304807 + 0.167029i
\(268\) 4.70859 + 4.70859i 0.287623 + 0.287623i
\(269\) 4.44596 3.23018i 0.271075 0.196948i −0.443940 0.896056i \(-0.646420\pi\)
0.715015 + 0.699109i \(0.246420\pi\)
\(270\) −11.5248 1.47582i −0.701379 0.0898155i
\(271\) 6.02194 + 4.37520i 0.365807 + 0.265774i 0.755470 0.655183i \(-0.227409\pi\)
−0.389663 + 0.920957i \(0.627409\pi\)
\(272\) −0.491350 3.10226i −0.0297924 0.188102i
\(273\) −0.689074 + 0.0880031i −0.0417047 + 0.00532619i
\(274\) 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 −0.990251 0.139293i \(-0.955517\pi\)
0.469365 0.883004i \(-0.344483\pi\)
\(278\) −10.7678 + 1.70545i −0.645810 + 0.102286i
\(279\) −27.7440 + 7.20400i −1.66099 + 0.431292i
\(280\) −0.146113 + 0.0980686i −0.00873194 + 0.00586072i
\(281\) 0.827936 + 1.13956i 0.0493905 + 0.0679802i 0.832998 0.553276i \(-0.186623\pi\)
−0.783607 + 0.621256i \(0.786623\pi\)
\(282\) −19.9033 + 9.39887i −1.18522 + 0.559694i
\(283\) 9.41786 + 1.49164i 0.559834 + 0.0886689i 0.429937 0.902859i \(-0.358536\pi\)
0.129896 + 0.991528i \(0.458536\pi\)
\(284\) 3.94874 + 12.1530i 0.234315 + 0.721147i
\(285\) 2.13482 + 4.99372i 0.126456 + 0.295802i
\(286\) −1.73454 + 5.33836i −0.102565 + 0.315664i
\(287\) 0.133440 0.261892i 0.00787674 0.0154590i
\(288\) −1.19893 2.75001i −0.0706478 0.162046i
\(289\) −6.78537 2.20470i −0.399139 0.129688i
\(290\) 3.02443 15.3713i 0.177601 0.902636i
\(291\) 0.540319 17.9721i 0.0316740 1.05355i
\(292\) 0.207750 1.31168i 0.0121577 0.0767604i
\(293\) 22.0266 22.0266i 1.28681 1.28681i 0.350091 0.936716i \(-0.386151\pi\)
0.936716 0.350091i \(-0.113849\pi\)
\(294\) 11.6280 3.39542i 0.678161 0.198025i
\(295\) −14.1745 + 4.02935i −0.825269 + 0.234598i
\(296\) −6.08934 + 8.38126i −0.353936 + 0.487151i
\(297\) −4.39475 + 3.66597i −0.255009 + 0.212721i
\(298\) −12.8019 + 6.52291i −0.741596 + 0.377862i
\(299\) −12.7307 −0.736237
\(300\) −5.45190 6.72880i −0.314766 0.388488i
\(301\) −0.111922 −0.00645107
\(302\) 0.290856 0.148198i 0.0167369 0.00852785i
\(303\) 23.8894 + 4.52347i 1.37241 + 0.259867i
\(304\) −0.824223 + 1.13445i −0.0472724 + 0.0650649i
\(305\) 8.37864 + 3.07133i 0.479760 + 0.175864i
\(306\) 9.40577 + 0.566067i 0.537692 + 0.0323599i
\(307\) 1.56450 1.56450i 0.0892910 0.0892910i −0.661050 0.750341i \(-0.729889\pi\)
0.750341 + 0.661050i \(0.229889\pi\)
\(308\) −0.0135593 + 0.0856103i −0.000772615 + 0.00487810i
\(309\) 22.8600 + 0.687269i 1.30046 + 0.0390974i
\(310\) −18.6624 10.4007i −1.05995 0.590720i
\(311\) 12.9644 + 4.21240i 0.735145 + 0.238863i 0.652577 0.757722i \(-0.273688\pi\)
0.0825681 + 0.996585i \(0.473688\pi\)
\(312\) 6.42644 6.05131i 0.363826 0.342588i
\(313\) −8.67043 + 17.0167i −0.490082 + 0.961839i 0.505032 + 0.863101i \(0.331481\pi\)
−0.995113 + 0.0987386i \(0.968519\pi\)
\(314\) 1.51888 4.67462i 0.0857152 0.263804i
\(315\) −0.192838 0.491439i −0.0108652 0.0276895i
\(316\) −3.07739 9.47123i −0.173117 0.532798i
\(317\) 8.97408 + 1.42135i 0.504034 + 0.0798312i 0.403274 0.915079i \(-0.367872\pi\)
0.100761 + 0.994911i \(0.467872\pi\)
\(318\) 5.02130 + 10.6332i 0.281580 + 0.596281i
\(319\) −4.53563 6.24276i −0.253947 0.349528i
\(320\) 0.769590 2.09946i 0.0430214 0.117363i
\(321\) 27.8548 18.9855i 1.55470 1.05967i
\(322\) −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
\(327\) 2.70036 + 21.1441i 0.149330 + 1.16927i
\(328\) 0.584268 + 3.68892i 0.0322608 + 0.203687i
\(329\) −0.809088 0.587837i −0.0446065 0.0324085i
\(330\) −4.25606 0.286660i −0.234288 0.0157801i
\(331\) 8.94485 6.49882i 0.491654 0.357207i −0.314166 0.949368i \(-0.601725\pi\)
0.805820 + 0.592161i \(0.201725\pi\)
\(332\) 0.623767 + 0.623767i 0.0342336 + 0.0342336i
\(333\) −20.6166 23.2570i −1.12978 1.27448i
\(334\) −21.2873 + 6.91666i −1.16479 + 0.378463i
\(335\) −14.6097 2.87458i −0.798215 0.157055i
\(336\) 0.0833977 0.107818i 0.00454971 0.00588197i
\(337\) 15.4169 + 7.85531i 0.839813 + 0.427906i 0.820321 0.571904i \(-0.193795\pi\)
0.0194923 + 0.999810i \(0.493795\pi\)
\(338\) 11.5586 + 5.88940i 0.628705 + 0.320341i
\(339\) −8.09004 + 10.4590i −0.439391 + 0.568054i
\(340\) 4.77812 + 5.14750i 0.259130 + 0.279162i
\(341\) −10.0085 + 3.25195i −0.541989 + 0.176103i
\(342\) −2.79056 3.14795i −0.150896 0.170222i
\(343\) 0.778722 + 0.778722i 0.0420470 + 0.0420470i
\(344\) 1.15057 0.835934i 0.0620343 0.0450706i
\(345\) −2.36458 9.38139i −0.127305 0.505077i
\(346\) 11.4671 + 8.33133i 0.616475 + 0.447895i
\(347\) −2.33923 14.7693i −0.125576 0.792857i −0.967428 0.253148i \(-0.918534\pi\)
0.841851 0.539709i \(-0.181466\pi\)
\(348\) 1.53728 + 12.0371i 0.0824070 + 0.645256i
\(349\) 0.345103i 0.0184729i 0.999957 + 0.00923647i \(0.00294010\pi\)
−0.999957 + 0.00923647i \(0.997060\pi\)
\(350\) 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 \(-0.371002\pi\)
0.658947 + 0.752190i \(0.271002\pi\)
\(354\) 9.43196 6.42874i 0.501303 0.341683i
\(355\) −22.4758 17.6431i −1.19289 0.936396i
\(356\) −1.92734 2.65275i −0.102149 0.140596i
\(357\) 0.182818 + 0.387139i 0.00967574 + 0.0204896i
\(358\) 15.0037 + 2.37636i 0.792971 + 0.125594i
\(359\) −5.66877 17.4467i −0.299186 0.920800i −0.981783 0.190005i \(-0.939150\pi\)
0.682597 0.730795i \(-0.260850\pi\)
\(360\) 5.65290 + 3.61175i 0.297934 + 0.190356i
\(361\) 5.26370 16.2000i 0.277037 0.852632i
\(362\) 4.66289 9.15143i 0.245076 0.480989i
\(363\) 12.3413 11.6209i 0.647749 0.609937i
\(364\) 0.381439 + 0.123937i 0.0199928 + 0.00649606i
\(365\) 1.24883 + 2.69421i 0.0653667 + 0.141022i
\(366\) −6.90925 0.207721i −0.361152 0.0108578i
\(367\) 0.00304877 0.0192492i 0.000159144 0.00100480i −0.987609 0.156937i \(-0.949838\pi\)
0.987768 + 0.155932i \(0.0498381\pi\)
\(368\) 1.76637 1.76637i 0.0920783 0.0920783i
\(369\) −11.1845 0.673114i −0.582240 0.0350409i
\(370\) 0.861472 23.1492i 0.0447858 1.20347i
\(371\) −0.314049 + 0.432251i −0.0163046 + 0.0224414i
\(372\) 16.2603 + 3.07889i 0.843057 + 0.159633i
\(373\) −6.23329 + 3.17602i −0.322748 + 0.164448i −0.607856 0.794047i \(-0.707970\pi\)
0.285109 + 0.958495i \(0.407970\pi\)
\(374\) 3.45942 0.178882
\(375\) 18.5073 + 5.69913i 0.955712 + 0.294302i
\(376\) 12.7080 0.655364
\(377\) −31.8136 + 16.2098i −1.63848 + 0.834848i
\(378\) 0.261942 + 0.314015i 0.0134729 + 0.0161512i
\(379\) −7.15293 + 9.84516i −0.367421 + 0.505712i −0.952198 0.305483i \(-0.901182\pi\)
0.584776 + 0.811194i \(0.301182\pi\)
\(380\) 0.116605 3.13336i 0.00598169 0.160738i
\(381\) 5.35711 1.56429i 0.274453 0.0801412i
\(382\) 7.68054 7.68054i 0.392971 0.392971i
\(383\) −0.148258 + 0.936062i −0.00757561 + 0.0478305i −0.991187 0.132473i \(-0.957708\pi\)
0.983611 + 0.180304i \(0.0577081\pi\)
\(384\) −0.0520493 + 1.73127i −0.00265613 + 0.0883484i
\(385\) −0.0815080 0.175845i −0.00415403 0.00896187i
\(386\) 18.4588 + 5.99764i 0.939530 + 0.305272i
\(387\) 1.70509 + 3.91100i 0.0866748 + 0.198807i
\(388\) −4.71283 + 9.24945i −0.239258 + 0.469570i
\(389\) −6.14102 + 18.9001i −0.311362 + 0.958273i 0.665864 + 0.746073i \(0.268063\pi\)
−0.977226 + 0.212200i \(0.931937\pi\)
\(390\) −4.39081 + 19.2434i −0.222337 + 0.974428i
\(391\) 2.42458 + 7.46210i 0.122616 + 0.377374i
\(392\) −6.90770 1.09407i −0.348892 0.0552590i
\(393\) −8.32944 + 3.93339i −0.420164 + 0.198413i
\(394\) −7.18863 9.89430i −0.362158 0.498468i
\(395\) 17.5161 + 13.7498i 0.881333 + 0.691829i
\(396\) 3.19814 0.830427i 0.160713 0.0417305i
\(397\) 26.6394 4.21926i 1.33699 0.211759i 0.553338 0.832957i \(-0.313354\pi\)
0.783654 + 0.621198i \(0.213354\pi\)
\(398\) −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 \(-0.321849\pi\)
\(402\) 11.4407 1.46112i 0.570611 0.0728739i
\(403\) 7.61739 + 48.0943i 0.379449 + 2.39575i
\(404\) −11.3567 8.25112i −0.565017 0.410509i
\(405\) −14.2351 + 14.2254i −0.707346 + 0.706868i
\(406\) −0.446060 + 0.324082i −0.0221376 + 0.0160839i
\(407\) −8.06828 8.06828i −0.399930 0.399930i
\(408\) −4.77089 2.61437i −0.236194 0.129431i
\(409\) −15.1218 + 4.91338i −0.747726 + 0.242951i −0.658002 0.753016i \(-0.728598\pi\)
−0.0897236 + 0.995967i \(0.528598\pi\)
\(410\) −5.68170 6.12093i −0.280599 0.302291i
\(411\) −15.7361 12.1719i −0.776205 0.600396i
\(412\) −11.7650 5.99458i −0.579621 0.295332i
\(413\) 0.462102 + 0.235453i 0.0227386 + 0.0115859i
\(414\) 4.03273 + 6.31650i 0.198198 + 0.310439i
\(415\) −1.93542 0.380809i −0.0950058 0.0186932i
\(416\) −4.84689 + 1.57485i −0.237638 + 0.0772134i
\(417\) −9.07436 + 16.5595i −0.444373 + 0.810924i
\(418\) −1.09208 1.09208i −0.0534155 0.0534155i
\(419\) −22.2455 + 16.1623i −1.08677 + 0.789582i −0.978850 0.204578i \(-0.934418\pi\)
−0.107916 + 0.994160i \(0.534418\pi\)
\(420\) −0.0204826 + 0.304105i −0.000999447 + 0.0148388i
\(421\) 25.8507 + 18.7816i 1.25988 + 0.915359i 0.998752 0.0499438i \(-0.0159042\pi\)
0.261132 + 0.965303i \(0.415904\pi\)
\(422\) −1.73009 10.9234i −0.0842194 0.531741i
\(423\) −8.21520 + 37.2283i −0.399437 + 1.81010i
\(424\) 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
\(429\) 5.47559 + 8.03356i 0.264364 + 0.387864i
\(430\) −1.09449 + 2.98580i −0.0527812 + 0.143988i
\(431\) −5.09101 7.00718i −0.245225 0.337524i 0.668607 0.743616i \(-0.266891\pi\)
−0.913832 + 0.406093i \(0.866891\pi\)
\(432\) −5.03814 1.27167i −0.242398 0.0611835i
\(433\) 10.6490 + 1.68664i 0.511760 + 0.0810548i 0.406974 0.913440i \(-0.366584\pi\)
0.104786 + 0.994495i \(0.466584\pi\)
\(434\) 0.232360 + 0.715129i 0.0111536 + 0.0343273i
\(435\) −17.8542 20.4329i −0.856041 0.979684i
\(436\) 3.80299 11.7044i 0.182130 0.560538i
\(437\) 1.59026 3.12107i 0.0760726 0.149301i
\(438\) −1.57689 1.67464i −0.0753467 0.0800176i
\(439\) −32.6251 10.6006i −1.55711 0.505937i −0.601078 0.799190i \(-0.705262\pi\)
−0.956035 + 0.293253i \(0.905262\pi\)
\(440\) 2.15128 + 1.19892i 0.102558 + 0.0571563i
\(441\) 7.67066 19.5290i 0.365269 0.929951i
\(442\) 2.50408 15.8101i 0.119107 0.752011i
\(443\) −4.58214 + 4.58214i −0.217704 + 0.217704i −0.807530 0.589826i \(-0.799196\pi\)
0.589826 + 0.807530i \(0.299196\pi\)
\(444\) 5.02958 + 17.2244i 0.238693 + 0.817434i
\(445\) 6.88409 + 2.52347i 0.326337 + 0.119624i
\(446\) −3.22891 + 4.44421i −0.152893 + 0.210439i
\(447\) −4.62991 + 24.4515i −0.218987 + 1.15652i
\(448\) −0.0701201 + 0.0357280i −0.00331286 + 0.00168799i
\(449\) 22.7460 1.07345 0.536726 0.843756i \(-0.319661\pi\)
0.536726 + 0.843756i \(0.319661\pi\)
\(450\) −14.9962 + 0.338608i −0.706927 + 0.0159621i
\(451\) −4.11362 −0.193703
\(452\) 6.80204 3.46581i 0.319941 0.163018i
\(453\) 0.105190 0.555530i 0.00494225 0.0261011i
\(454\) −3.97531 + 5.47155i −0.186571 + 0.256792i
\(455\) −0.862639 + 0.245221i −0.0404411 + 0.0114961i
\(456\) 0.680779 + 2.33141i 0.0318804 + 0.109178i
\(457\) −6.28077 + 6.28077i −0.293802 + 0.293802i −0.838580 0.544778i \(-0.816614\pi\)
0.544778 + 0.838580i \(0.316614\pi\)
\(458\) 0.475131 2.99986i 0.0222014 0.140174i
\(459\) 10.7430 12.2863i 0.501442 0.573477i
\(460\) −1.07837 + 5.48067i −0.0502790 + 0.255537i
\(461\) −21.3397 6.93369i −0.993889 0.322934i −0.233468 0.972364i \(-0.575007\pi\)
−0.760421 + 0.649430i \(0.775007\pi\)
\(462\) 0.102920 + 0.109300i 0.00478826 + 0.00508509i
\(463\) 10.9916 21.5722i 0.510823 1.00255i −0.481214 0.876603i \(-0.659804\pi\)
0.992037 0.125944i \(-0.0401959\pi\)
\(464\) 2.16499 6.66317i 0.100507 0.309330i
\(465\) −34.0263 + 14.5463i −1.57793 + 0.674567i
\(466\) −0.427269 1.31500i −0.0197929 0.0609161i
\(467\) −13.3049 2.10730i −0.615679 0.0975140i −0.159197 0.987247i \(-0.550891\pi\)
−0.456482 + 0.889733i \(0.650891\pi\)
\(468\) −1.48024 15.2171i −0.0684240 0.703413i
\(469\) 0.308025 + 0.423960i 0.0142233 + 0.0195766i
\(470\) −23.5942 + 15.8360i −1.08832 + 0.730460i
\(471\) −4.79479 7.03472i −0.220932 0.324143i
\(472\) −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
\(477\) 19.8890 + 4.38893i 0.910656 + 0.200955i
\(478\) −1.77878 11.2308i −0.0813596 0.513684i
\(479\) 13.9808 + 10.1576i 0.638797 + 0.464113i 0.859437 0.511242i \(-0.170814\pi\)
−0.220639 + 0.975355i \(0.570814\pi\)
\(480\) −2.06077 3.27921i −0.0940610 0.149675i
\(481\) −42.7136 + 31.0332i −1.94757 + 1.41499i
\(482\) 6.23914 + 6.23914i 0.284185 + 0.284185i
\(483\) −0.163631 + 0.298606i −0.00744549 + 0.0135871i
\(484\) −9.30791 + 3.02432i −0.423087 + 0.137469i
\(485\) −2.77611 23.0458i −0.126057 1.04646i
\(486\) 6.98235 13.9372i 0.316726 0.632206i
\(487\) 3.22789 + 1.64469i 0.146270 + 0.0745281i 0.525593 0.850736i \(-0.323843\pi\)
−0.379324 + 0.925264i \(0.623843\pi\)
\(488\) 3.55588 + 1.81181i 0.160967 + 0.0820169i
\(489\) −2.10024 1.62454i −0.0949761 0.0734643i
\(490\) 14.1885 6.57669i 0.640971 0.297105i
\(491\) −5.48953 + 1.78366i −0.247739 + 0.0804953i −0.430254 0.902708i \(-0.641576\pi\)
0.182515 + 0.983203i \(0.441576\pi\)
\(492\) 5.67310 + 3.10877i 0.255763 + 0.140154i
\(493\) 15.5603 + 15.5603i 0.700800 + 0.700800i
\(494\) −5.78150 + 4.20051i −0.260122 + 0.188990i
\(495\) −4.90297 + 5.52715i −0.220372 + 0.248427i
\(496\) −7.72991 5.61611i −0.347083 0.252171i
\(497\) 0.157315 + 0.993249i 0.00705655 + 0.0445533i
\(498\) 1.51560 0.193560i 0.0679157 0.00867365i
\(499\) 28.5582i 1.27844i 0.769024 + 0.639220i \(0.220743\pi\)
−0.769024 + 0.639220i \(0.779257\pi\)
\(500\) −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 \(-0.730468\pi\)
−0.398497 + 0.917170i \(0.630468\pi\)
\(504\) −0.0593360 0.228515i −0.00264304 0.0101789i
\(505\) 31.3674 + 1.16730i 1.39583 + 0.0519444i
\(506\) 1.61718 + 2.22586i 0.0718926 + 0.0989517i
\(507\) 20.3176 9.59451i 0.902335 0.426107i
\(508\) −3.18243 0.504047i −0.141197 0.0223635i
\(509\) −1.35722 4.17708i −0.0601576 0.185146i 0.916462 0.400123i \(-0.131032\pi\)
−0.976619 + 0.214977i \(0.931032\pi\)
\(510\) 12.1157 1.09126i 0.536493 0.0483220i
\(511\) 0.0322963 0.0993978i 0.00142870 0.00439710i
\(512\) 0.453990 0.891007i 0.0200637 0.0393773i
\(513\) −7.27001 + 0.487193i −0.320979 + 0.0215101i
\(514\) 2.11472 + 0.687116i 0.0932765 + 0.0303074i
\(515\) 29.3136 3.53113i 1.29171 0.155600i
\(516\) 0.0740233 2.46217i 0.00325869 0.108391i
\(517\) −2.18954 + 13.8242i −0.0962960 + 0.607989i
\(518\) −0.576498 + 0.576498i −0.0253299 + 0.0253299i
\(519\) 23.5661 6.88138i 1.03444 0.302059i
\(520\) 7.03646 8.96386i 0.308569 0.393091i
\(521\) 3.85216 5.30205i 0.168766 0.232287i −0.716254 0.697840i \(-0.754145\pi\)
0.885020 + 0.465553i \(0.154145\pi\)
\(522\) 18.1203 + 10.6499i 0.793104 + 0.466132i
\(523\) 7.96973 4.06078i 0.348492 0.177566i −0.270979 0.962585i \(-0.587347\pi\)
0.619471 + 0.785020i \(0.287347\pi\)
\(524\) 5.31824 0.232328
\(525\) −0.340931 0.590140i −0.0148794 0.0257558i
\(526\) −19.3769 −0.844875
\(527\) 26.7397 13.6245i 1.16480 0.593494i
\(528\) −1.87437 0.354913i −0.0815716 0.0154456i
\(529\) 9.85121 13.5590i 0.428314 0.589523i
\(530\) 8.46029 + 12.6051i 0.367492 + 0.547529i
\(531\) 1.18770 19.7348i 0.0515416 0.856416i
\(532\) −0.0780320 + 0.0780320i −0.00338312 + 0.00338312i
\(533\) −2.97762 + 18.7999i −0.128975 + 0.814315i
\(534\) −5.67680 0.170669i −0.245659 0.00738556i
\(535\) 31.8956 29.6069i 1.37897 1.28002i
\(536\) −6.33303 2.05773i −0.273545 0.0888803i
\(537\) 19.1555 18.0373i 0.826619 0.778367i
\(538\) −2.49491 + 4.89653i −0.107563 + 0.211105i
\(539\) 2.38035 7.32596i 0.102529 0.315551i
\(540\) 10.9387 3.91720i 0.470727 0.168570i
\(541\) 4.98127 + 15.3308i 0.214161 + 0.659121i 0.999212 + 0.0396896i \(0.0126369\pi\)
−0.785051 + 0.619432i \(0.787363\pi\)
\(542\) −7.35189 1.16442i −0.315791 0.0500163i
\(543\) −7.59639 16.0863i −0.325992 0.690329i
\(544\) 1.84619 + 2.54107i 0.0791548 + 0.108947i
\(545\) 7.52457 + 26.4699i 0.322317 + 1.13385i
\(546\) 0.574017 0.391244i 0.0245657 0.0167437i
\(547\) −23.3625 + 3.70025i −0.998907 + 0.158211i −0.634413 0.772994i \(-0.718758\pi\)
−0.364494 + 0.931206i \(0.618758\pi\)
\(548\) 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
\(552\) −0.548120 4.29184i −0.0233295 0.182673i
\(553\) −0.122601 0.774072i −0.00521353 0.0329169i
\(554\) 15.4488 + 11.2242i 0.656355 + 0.476870i
\(555\) −30.8022 25.7120i −1.30748 1.09141i
\(556\) 8.81992 6.40805i 0.374048 0.271762i
\(557\) 27.5142 + 27.5142i 1.16581 + 1.16581i 0.983181 + 0.182634i \(0.0584623\pi\)
0.182634 + 0.983181i \(0.441538\pi\)
\(558\) 21.4496 19.0143i 0.908033 0.804941i
\(559\) 6.89314 2.23972i 0.291549 0.0947299i
\(560\) 0.0856657 0.153714i 0.00362004 0.00649560i
\(561\) 3.66602 4.73951i 0.154780 0.200102i
\(562\) −1.25504 0.639477i −0.0529408 0.0269747i
\(563\) −22.1789 11.3007i −0.934728 0.476267i −0.0808412 0.996727i \(-0.525761\pi\)
−0.853886 + 0.520460i \(0.825761\pi\)
\(564\) 13.4669 17.4103i 0.567061 0.733108i
\(565\) −8.31006 + 14.9111i −0.349607 + 0.627315i
\(566\) −9.06857 + 2.94656i −0.381180 + 0.123853i
\(567\) 0.707797 0.0261004i 0.0297247 0.00109611i
\(568\) −9.03570 9.03570i −0.379129 0.379129i
\(569\) 25.9540 18.8567i 1.08805 0.790515i 0.108981 0.994044i \(-0.465241\pi\)
0.979069 + 0.203529i \(0.0652412\pi\)
\(570\) −4.16924 3.48025i −0.174630 0.145772i
\(571\) −34.1170 24.7874i −1.42775 1.03732i −0.990430 0.138017i \(-0.955927\pi\)
−0.437322 0.899305i \(-0.644073\pi\)
\(572\) −0.878080 5.54398i −0.0367144 0.231805i
\(573\) −2.38334 18.6618i −0.0995655 0.779609i
\(574\) 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 −0.999983 0.00583873i \(-0.998141\pi\)
0.583052 0.812435i \(-0.301859\pi\)
\(578\) 7.04672 1.11609i 0.293105 0.0464233i
\(579\) 27.7782 18.9333i 1.15442 0.786843i
\(580\) 4.28365 + 15.0690i 0.177869 + 0.625707i
\(581\) 0.0408054 + 0.0561638i 0.00169289 + 0.00233007i
\(582\) 7.67775 + 16.2586i 0.318253 + 0.673940i
\(583\) 7.38553 + 1.16975i 0.305877 + 0.0484462i
\(584\) 0.410385 + 1.26303i 0.0169818 + 0.0522647i
\(585\) 21.7110 + 26.4082i 0.897641 + 1.09185i
\(586\) −9.62597 + 29.6257i −0.397645 + 1.22383i
\(587\) 5.85750 11.4960i 0.241765 0.474490i −0.737958 0.674846i \(-0.764210\pi\)
0.979723 + 0.200356i \(0.0642099\pi\)
\(588\) −8.81916 + 8.30436i −0.363696 + 0.342466i
\(589\) −12.7423 4.14024i −0.525039 0.170596i
\(590\) 10.8002 10.0252i 0.444639 0.412733i
\(591\) −21.1735 0.636564i −0.870960 0.0261848i
\(592\) 1.62063 10.2323i 0.0666075 0.420543i
\(593\) −3.75033 + 3.75033i −0.154007 + 0.154007i −0.779905 0.625898i \(-0.784733\pi\)
0.625898 + 0.779905i \(0.284733\pi\)
\(594\) 2.25143 5.26158i 0.0923774 0.215885i
\(595\) 0.308027 + 0.458932i 0.0126279 + 0.0188144i
\(596\) 8.44527 11.6239i 0.345932 0.476134i
\(597\) −27.1194 5.13507i −1.10992 0.210165i
\(598\) 11.3432 5.77963i 0.463856 0.236347i
\(599\) −29.8620 −1.22013 −0.610065 0.792352i \(-0.708857\pi\)
−0.610065 + 0.792352i \(0.708857\pi\)
\(600\) 7.91249 + 3.52030i 0.323026 + 0.143716i
\(601\) 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
\(603\) 10.1222 17.2225i 0.412208 0.701355i
\(604\) −0.191874 + 0.264091i −0.00780722 + 0.0107457i
\(605\) 13.5127 17.2141i 0.549371 0.699853i
\(606\) −23.3393 + 6.81513i −0.948092 + 0.276846i
\(607\) 29.8007 29.8007i 1.20957 1.20957i 0.238406 0.971165i \(-0.423375\pi\)
0.971165 0.238406i \(-0.0766250\pi\)
\(608\) 0.219361 1.38499i 0.00889625 0.0561687i
\(609\) −0.0286980 + 0.954554i −0.00116290 + 0.0386805i
\(610\) −8.85978 + 1.06725i −0.358722 + 0.0432118i
\(611\) 61.5942 + 20.0132i 2.49184 + 0.809646i
\(612\) −8.63759 + 3.76576i −0.349154 + 0.152222i
\(613\) 0.600877 1.17929i 0.0242692 0.0476310i −0.878554 0.477644i \(-0.841491\pi\)
0.902823 + 0.430013i \(0.141491\pi\)
\(614\) −0.683714 + 2.10425i −0.0275924 + 0.0849208i
\(615\) −14.4069 + 1.29763i −0.580942 + 0.0523255i
\(616\) −0.0267848 0.0824351i −0.00107919 0.00332141i
\(617\) −41.5066 6.57400i −1.67099 0.264659i −0.752067 0.659087i \(-0.770943\pi\)
−0.918927 + 0.394428i \(0.870943\pi\)
\(618\) −20.6804 + 9.76586i −0.831889 + 0.392841i
\(619\) −9.51877 13.1015i −0.382592 0.526592i 0.573677 0.819082i \(-0.305516\pi\)
−0.956269 + 0.292489i \(0.905516\pi\)
\(620\) 21.3502 + 0.794523i 0.857443 + 0.0319088i
\(621\) 12.9274 + 1.16877i 0.518758 + 0.0469013i
\(622\) −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
\(627\) −2.65349 + 0.338883i −0.105970 + 0.0135337i
\(628\) 0.768905 + 4.85468i 0.0306827 + 0.193723i
\(629\) 26.3249 + 19.1262i 1.04964 + 0.762611i
\(630\) 0.394928 + 0.350329i 0.0157343 + 0.0139575i
\(631\) −9.33690 + 6.78365i −0.371696 + 0.270053i −0.757914 0.652355i \(-0.773781\pi\)
0.386218 + 0.922408i \(0.373781\pi\)
\(632\) 7.04182 + 7.04182i 0.280109 + 0.280109i
\(633\) −16.7988 9.20545i −0.667691 0.365884i
\(634\) −8.64124 + 2.80771i −0.343188 + 0.111508i
\(635\) 6.53674 3.02993i 0.259403 0.120239i
\(636\) −9.30139 7.19464i −0.368824 0.285286i
\(637\) −31.7579 16.1814i −1.25829 0.641132i
\(638\) 6.87543 + 3.50321i 0.272201 + 0.138693i
\(639\) 32.3115 20.6290i 1.27822 0.816073i
\(640\) 0.267425 + 2.22002i 0.0105709 + 0.0877540i
\(641\) −15.5088 + 5.03912i −0.612561 + 0.199033i −0.598835 0.800873i \(-0.704369\pi\)
−0.0137264 + 0.999906i \(0.504369\pi\)
\(642\) −16.1995 + 29.5620i −0.639344 + 1.16672i
\(643\) −12.8296 12.8296i −0.505952 0.505952i 0.407330 0.913281i \(-0.366460\pi\)
−0.913281 + 0.407330i \(0.866460\pi\)
\(644\) 0.159043 0.115552i 0.00626719 0.00455338i
\(645\) 2.93078 + 4.66361i 0.115400 + 0.183630i
\(646\) 3.56321 + 2.58883i 0.140193 + 0.101856i
\(647\) 3.97829 + 25.1179i 0.156403 + 0.987488i 0.933622 + 0.358259i \(0.116629\pi\)
−0.777220 + 0.629229i \(0.783371\pi\)
\(648\) −7.08127 + 5.55479i −0.278178 + 0.218213i
\(649\) 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 \(-0.753058\pi\)
−0.462529 + 0.886604i \(0.653058\pi\)
\(654\) −12.0053 17.6136i −0.469443 0.688747i
\(655\) −9.87407 + 6.62730i −0.385812 + 0.258950i
\(656\) −2.19532 3.02160i −0.0857129 0.117974i
\(657\) −3.96538 + 0.385730i −0.154704 + 0.0150488i
\(658\) 0.987775 + 0.156448i 0.0385075 + 0.00609899i
\(659\) 3.19473 + 9.83236i 0.124449 + 0.383014i 0.993800 0.111180i \(-0.0354631\pi\)
−0.869351 + 0.494195i \(0.835463\pi\)
\(660\) 3.92231 1.67679i 0.152676 0.0652691i
\(661\) 3.97825 12.2438i 0.154736 0.476229i −0.843398 0.537289i \(-0.819448\pi\)
0.998134 + 0.0610606i \(0.0194483\pi\)
\(662\) −5.01952 + 9.85137i −0.195089 + 0.382884i
\(663\) −19.0067 20.1850i −0.738161 0.783921i
\(664\) −0.838964 0.272596i −0.0325581 0.0105788i
\(665\) 0.0476384 0.242117i 0.00184734 0.00938888i
\(666\) 28.9279 + 11.3624i 1.12093 + 0.440284i
\(667\) −2.73781 + 17.2859i −0.106008 + 0.669311i
\(668\) 15.8270 15.8270i 0.612365 0.612365i
\(669\) 2.66696 + 9.13333i 0.103111 + 0.353115i
\(670\) 14.3224 4.07141i 0.553323 0.157292i
\(671\) −2.58363 + 3.55605i −0.0997397 + 0.137280i
\(672\) −0.0253594 + 0.133928i −0.000978260 + 0.00516640i
\(673\) 30.0291 15.3006i 1.15754 0.589794i 0.233596 0.972334i \(-0.424951\pi\)
0.923939 + 0.382540i \(0.124951\pi\)
\(674\) −17.3028 −0.666479
\(675\) −15.4279 + 20.9041i −0.593820 + 0.804598i
\(676\) −12.9725 −0.498943
\(677\) 13.8891 7.07682i 0.533800 0.271984i −0.166244 0.986085i \(-0.553164\pi\)
0.700044 + 0.714100i \(0.253164\pi\)
\(678\) 2.46001 12.9918i 0.0944759 0.498948i
\(679\) −0.480192 + 0.660928i −0.0184281 + 0.0253641i
\(680\) −6.59425 2.41723i −0.252878 0.0926965i
\(681\) 3.28346 + 11.2446i 0.125823 + 0.430895i
\(682\) 7.44126 7.44126i 0.284940 0.284940i
\(683\) −4.20549 + 26.5524i −0.160919 + 1.01600i 0.766573 + 0.642157i \(0.221960\pi\)
−0.927492 + 0.373844i \(0.878040\pi\)
\(684\) 3.91554 + 1.53796i 0.149715 + 0.0588054i
\(685\) −22.4346 12.5029i −0.857182 0.477713i
\(686\) −1.04738 0.340314i −0.0399891 0.0129932i
\(687\) −3.60640 3.82996i −0.137593 0.146122i
\(688\) −0.645655 + 1.26717i −0.0246154 + 0.0483104i
\(689\) 10.6919 32.9064i 0.407330 1.25363i
\(690\) 6.36592 + 7.28538i 0.242346 + 0.277350i
\(691\) 7.00128 + 21.5477i 0.266341 + 0.819714i 0.991381 + 0.131007i \(0.0418212\pi\)
−0.725040 + 0.688707i \(0.758179\pi\)
\(692\) −13.9996 2.21732i −0.532185 0.0842898i
\(693\) 0.258811 0.0251756i 0.00983141 0.000956343i
\(694\) 8.78938 + 12.0975i 0.333640 + 0.459217i
\(695\) −8.39009 + 22.8884i −0.318254 + 0.868205i
\(696\) −6.83446 10.0272i −0.259060 0.380081i
\(697\) 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 \(0.746839\pi\)
\(702\) −22.4166 14.0980i −0.846061 0.532094i
\(703\) −2.27253 14.3482i −0.0857102 0.541153i
\(704\) 0.891050 + 0.647386i 0.0335827 + 0.0243993i
\(705\) −3.30750 + 49.1066i −0.124568 + 1.84946i
\(706\) −16.2083 + 11.7760i −0.610007 + 0.443196i
\(707\) −0.781162 0.781162i −0.0293786 0.0293786i
\(708\) −5.48536 + 10.0101i −0.206152 + 0.376201i
\(709\) 37.7779 12.2748i 1.41878 0.460989i 0.503565 0.863958i \(-0.332022\pi\)
0.915214 + 0.402968i \(0.132022\pi\)
\(710\) 28.0359 + 5.51628i 1.05217 + 0.207022i
\(711\) −25.1814 + 16.0769i −0.944377 + 0.602931i
\(712\) 2.92160 + 1.48863i 0.109491 + 0.0557887i
\(713\) 21.2664 + 10.8358i 0.796433 + 0.405803i
\(714\) −0.338649 0.261946i −0.0126736 0.00980309i
\(715\) 8.53888 + 9.19897i 0.319336 + 0.344022i
\(716\) −14.4473 + 4.69420i −0.539919 + 0.175430i
\(717\) −17.2716 9.46453i −0.645018 0.353459i
\(718\) 12.9715 + 12.9715i 0.484093 + 0.484093i
\(719\) −25.6075 + 18.6049i −0.954998 + 0.693847i −0.951984 0.306149i \(-0.900960\pi\)
−0.00301445 + 0.999995i \(0.500960\pi\)
\(720\) −6.67647 0.651726i −0.248817 0.0242884i
\(721\) −0.840680 0.610790i −0.0313086 0.0227470i
\(722\) 2.66466 + 16.8240i 0.0991682 + 0.626124i
\(723\) 15.1596 1.93606i 0.563791 0.0720029i
\(724\) 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 −0.693719 0.720246i \(-0.744029\pi\)
−0.174934 0.984580i \(-0.555971\pi\)
\(728\) −0.396131 + 0.0627409i −0.0146816 + 0.00232533i
\(729\) −11.6951 24.3357i −0.433152 0.901321i
\(730\) −2.33586 1.83361i −0.0864541 0.0678648i
\(731\) −2.62561 3.61384i −0.0971117 0.133663i
\(732\) 6.25049 2.95165i 0.231025 0.109096i
\(733\) −20.9008 3.31036i −0.771988 0.122271i −0.242000 0.970276i \(-0.577803\pi\)
−0.529988 + 0.848005i \(0.677803\pi\)
\(734\) 0.00602247 + 0.0185352i 0.000222293 + 0.000684148i
\(735\) 6.02561 26.4082i 0.222258 0.974080i
\(736\) −0.771931 + 2.37576i −0.0284538 + 0.0875717i
\(737\) 3.32964 6.53478i 0.122649 0.240712i
\(738\) 10.2710 4.47789i 0.378082 0.164834i
\(739\) 11.8537 + 3.85150i 0.436046 + 0.141680i 0.518811 0.854889i \(-0.326375\pi\)
−0.0827648 + 0.996569i \(0.526375\pi\)
\(740\) 9.74194 + 21.0172i 0.358121 + 0.772607i
\(741\) −0.371961 + 12.3722i −0.0136643 + 0.454505i
\(742\) 0.0835816 0.527714i 0.00306838 0.0193730i
\(743\) −2.30237 + 2.30237i −0.0844658 + 0.0844658i −0.748077 0.663612i \(-0.769023\pi\)
0.663612 + 0.748077i \(0.269023\pi\)
\(744\) −15.8858 + 4.63870i −0.582402 + 0.170063i
\(745\) −1.19477 + 32.1055i −0.0437730 + 1.17625i
\(746\) 4.11202 5.65971i 0.150552 0.207217i
\(747\) 1.34093 2.28154i 0.0490621 0.0834772i
\(748\) −3.08236 + 1.57054i −0.112702 + 0.0574247i
\(749\) −1.53163 −0.0559646
\(750\) −19.0775 + 3.32417i −0.696611 + 0.121382i
\(751\) 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
\(753\) 24.8641 + 4.70802i 0.906097 + 0.171570i
\(754\) 20.9870 28.8861i 0.764301 1.05197i
\(755\) 0.0271448 0.729425i 0.000987899 0.0265465i
\(756\) −0.375952 0.160870i −0.0136733 0.00585079i
\(757\) −7.02667 + 7.02667i −0.255389 + 0.255389i −0.823176 0.567787i \(-0.807800\pi\)
0.567787 + 0.823176i \(0.307800\pi\)
\(758\) 1.90370 12.0195i 0.0691453 0.436567i
\(759\) 4.76327