Properties

Label 576.2.bm.a.13.1
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41382 - 0.0331870i) q^{2} +(-0.374386 + 1.69110i) q^{3} +(1.99780 + 0.0938413i) q^{4} +(-0.000471804 + 0.00138989i) q^{5} +(0.585439 - 2.37850i) q^{6} +(1.11009 - 1.44669i) q^{7} +(-2.82142 - 0.198976i) q^{8} +(-2.71967 - 1.26625i) q^{9} +O(q^{10})\) \(q+(-1.41382 - 0.0331870i) q^{2} +(-0.374386 + 1.69110i) q^{3} +(1.99780 + 0.0938413i) q^{4} +(-0.000471804 + 0.00138989i) q^{5} +(0.585439 - 2.37850i) q^{6} +(1.11009 - 1.44669i) q^{7} +(-2.82142 - 0.198976i) q^{8} +(-2.71967 - 1.26625i) q^{9} +(0.000713174 - 0.00194940i) q^{10} +(-0.469317 - 0.0307607i) q^{11} +(-0.906644 + 3.34335i) q^{12} +(-3.13750 + 3.57763i) q^{13} +(-1.61748 + 2.00853i) q^{14} +(-0.00217381 - 0.00131822i) q^{15} +(3.98239 + 0.374952i) q^{16} +(-4.32364 - 4.32364i) q^{17} +(3.80311 + 1.88052i) q^{18} +(-1.25108 + 6.28962i) q^{19} +(-0.00107300 + 0.00273244i) q^{20} +(2.03091 + 2.41890i) q^{21} +(0.662511 + 0.0590654i) q^{22} +(-3.02225 + 2.31906i) q^{23} +(1.39279 - 4.69682i) q^{24} +(3.96676 + 3.04381i) q^{25} +(4.55460 - 4.95402i) q^{26} +(3.15957 - 4.12518i) q^{27} +(2.35349 - 2.78603i) q^{28} +(-3.60750 + 7.31528i) q^{29} +(0.00302964 + 0.00193588i) q^{30} +(-3.92540 - 2.26633i) q^{31} +(-5.61795 - 0.662280i) q^{32} +(0.227725 - 0.782148i) q^{33} +(5.96937 + 6.25635i) q^{34} +(0.00148700 + 0.00222545i) q^{35} +(-5.31452 - 2.78493i) q^{36} +(-0.838744 - 4.21665i) q^{37} +(1.97754 - 8.85089i) q^{38} +(-4.87551 - 6.64525i) q^{39} +(0.00160771 - 0.00382758i) q^{40} +(-5.59749 + 4.29510i) q^{41} +(-2.79107 - 3.48729i) q^{42} +(0.577512 - 8.81113i) q^{43} +(-0.934713 - 0.105495i) q^{44} +(0.00304310 - 0.00318261i) q^{45} +(4.34990 - 3.17844i) q^{46} +(1.77421 - 6.62143i) q^{47} +(-2.12503 + 6.59426i) q^{48} +(0.951104 + 3.54957i) q^{49} +(-5.50729 - 4.43505i) q^{50} +(8.93043 - 5.69301i) q^{51} +(-6.60381 + 6.85295i) q^{52} +(-4.66506 + 6.98175i) q^{53} +(-4.60398 + 5.72742i) q^{54} +(0.000264179 - 0.000637785i) q^{55} +(-3.41988 + 3.86085i) q^{56} +(-10.1680 - 4.47046i) q^{57} +(5.34314 - 10.2228i) q^{58} +(-2.93032 + 8.63245i) q^{59} +(-0.00421913 - 0.00283754i) q^{60} +(-9.36815 - 4.61986i) q^{61} +(5.47461 + 3.33446i) q^{62} +(-4.85095 + 2.52888i) q^{63} +(7.92082 + 1.12279i) q^{64} +(-0.00349222 - 0.00604871i) q^{65} +(-0.347921 + 1.09826i) q^{66} +(-0.370639 - 5.65486i) q^{67} +(-8.23202 - 9.04349i) q^{68} +(-2.79028 - 5.97917i) q^{69} +(-0.00202850 - 0.00319575i) q^{70} +(-2.87271 - 6.93533i) q^{71} +(7.42138 + 4.11378i) q^{72} +(-4.91883 + 11.8751i) q^{73} +(1.04590 + 5.98943i) q^{74} +(-6.63250 + 5.56866i) q^{75} +(-3.08963 + 12.4480i) q^{76} +(-0.565484 + 0.644811i) q^{77} +(6.67258 + 9.55702i) q^{78} +(0.469935 + 0.125919i) q^{79} +(-0.00240005 + 0.00535817i) q^{80} +(5.79321 + 6.88758i) q^{81} +(8.05640 - 5.88676i) q^{82} +(12.9173 - 4.38484i) q^{83} +(3.83035 + 5.02305i) q^{84} +(0.00804928 - 0.00396947i) q^{85} +(-1.10892 + 12.4382i) q^{86} +(-11.0203 - 8.83940i) q^{87} +(1.31802 + 0.180172i) q^{88} +(3.50955 - 1.45370i) q^{89} +(-0.00440803 + 0.00439867i) q^{90} +(1.69284 + 8.51048i) q^{91} +(-6.25547 + 4.34939i) q^{92} +(5.30221 - 5.78977i) q^{93} +(-2.72816 + 9.30266i) q^{94} +(-0.00815160 - 0.00470633i) q^{95} +(3.22327 - 9.25260i) q^{96} +(-1.67479 + 0.966939i) q^{97} +(-1.22689 - 5.05003i) q^{98} +(1.23744 + 0.677933i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41382 0.0331870i −0.999725 0.0234668i
\(3\) −0.374386 + 1.69110i −0.216152 + 0.976360i
\(4\) 1.99780 + 0.0938413i 0.998899 + 0.0469206i
\(5\) −0.000471804 0.00138989i −0.000210997 0.000621577i −0.947036 0.321129i \(-0.895938\pi\)
0.946825 + 0.321750i \(0.104271\pi\)
\(6\) 0.585439 2.37850i 0.239005 0.971018i
\(7\) 1.11009 1.44669i 0.419574 0.546799i −0.534970 0.844871i \(-0.679677\pi\)
0.954543 + 0.298072i \(0.0963436\pi\)
\(8\) −2.82142 0.198976i −0.997522 0.0703487i
\(9\) −2.71967 1.26625i −0.906557 0.422084i
\(10\) 0.000713174 0.00194940i 0.000225525 0.000616454i
\(11\) −0.469317 0.0307607i −0.141504 0.00927469i −0.00551367 0.999985i \(-0.501755\pi\)
−0.135991 + 0.990710i \(0.543422\pi\)
\(12\) −0.906644 + 3.34335i −0.261725 + 0.965142i
\(13\) −3.13750 + 3.57763i −0.870185 + 0.992256i 0.129815 + 0.991538i \(0.458562\pi\)
−1.00000 0.000717789i \(0.999772\pi\)
\(14\) −1.61748 + 2.00853i −0.432290 + 0.536802i
\(15\) −0.00217381 0.00131822i −0.000561275 0.000340364i
\(16\) 3.98239 + 0.374952i 0.995597 + 0.0937379i
\(17\) −4.32364 4.32364i −1.04864 1.04864i −0.998755 0.0498810i \(-0.984116\pi\)
−0.0498810 0.998755i \(-0.515884\pi\)
\(18\) 3.80311 + 1.88052i 0.896402 + 0.443242i
\(19\) −1.25108 + 6.28962i −0.287018 + 1.44294i 0.520888 + 0.853625i \(0.325601\pi\)
−0.807906 + 0.589312i \(0.799399\pi\)
\(20\) −0.00107300 + 0.00273244i −0.000239929 + 0.000610992i
\(21\) 2.03091 + 2.41890i 0.443181 + 0.527847i
\(22\) 0.662511 + 0.0590654i 0.141248 + 0.0125928i
\(23\) −3.02225 + 2.31906i −0.630183 + 0.483557i −0.873781 0.486320i \(-0.838339\pi\)
0.243598 + 0.969876i \(0.421672\pi\)
\(24\) 1.39279 4.69682i 0.284302 0.958735i
\(25\) 3.96676 + 3.04381i 0.793353 + 0.608761i
\(26\) 4.55460 4.95402i 0.893231 0.971562i
\(27\) 3.15957 4.12518i 0.608060 0.793891i
\(28\) 2.35349 2.78603i 0.444768 0.526510i
\(29\) −3.60750 + 7.31528i −0.669896 + 1.35841i 0.250764 + 0.968048i \(0.419318\pi\)
−0.920660 + 0.390366i \(0.872349\pi\)
\(30\) 0.00302964 + 0.00193588i 0.000553134 + 0.000353442i
\(31\) −3.92540 2.26633i −0.705022 0.407045i 0.104193 0.994557i \(-0.466774\pi\)
−0.809215 + 0.587512i \(0.800107\pi\)
\(32\) −5.61795 0.662280i −0.993123 0.117076i
\(33\) 0.227725 0.782148i 0.0396419 0.136154i
\(34\) 5.96937 + 6.25635i 1.02374 + 1.07296i
\(35\) 0.00148700 + 0.00222545i 0.000251349 + 0.000376170i
\(36\) −5.31452 2.78493i −0.885754 0.464156i
\(37\) −0.838744 4.21665i −0.137889 0.693213i −0.986443 0.164105i \(-0.947527\pi\)
0.848554 0.529108i \(-0.177473\pi\)
\(38\) 1.97754 8.85089i 0.320800 1.43580i
\(39\) −4.87551 6.64525i −0.780707 1.06409i
\(40\) 0.00160771 0.00382758i 0.000254201 0.000605194i
\(41\) −5.59749 + 4.29510i −0.874181 + 0.670782i −0.945129 0.326698i \(-0.894064\pi\)
0.0709483 + 0.997480i \(0.477397\pi\)
\(42\) −2.79107 3.48729i −0.430672 0.538101i
\(43\) 0.577512 8.81113i 0.0880697 1.34368i −0.693766 0.720200i \(-0.744050\pi\)
0.781836 0.623484i \(-0.214283\pi\)
\(44\) −0.934713 0.105495i −0.140913 0.0159039i
\(45\) 0.00304310 0.00318261i 0.000453639 0.000474436i
\(46\) 4.34990 3.17844i 0.641357 0.468635i
\(47\) 1.77421 6.62143i 0.258795 0.965835i −0.707145 0.707068i \(-0.750017\pi\)
0.965940 0.258767i \(-0.0833161\pi\)
\(48\) −2.12503 + 6.59426i −0.306722 + 0.951799i
\(49\) 0.951104 + 3.54957i 0.135872 + 0.507081i
\(50\) −5.50729 4.43505i −0.778849 0.627211i
\(51\) 8.93043 5.69301i 1.25051 0.797181i
\(52\) −6.60381 + 6.85295i −0.915784 + 0.950334i
\(53\) −4.66506 + 6.98175i −0.640795 + 0.959018i 0.358876 + 0.933385i \(0.383160\pi\)
−0.999671 + 0.0256324i \(0.991840\pi\)
\(54\) −4.60398 + 5.72742i −0.626523 + 0.779403i
\(55\) 0.000264179 0 0.000637785i 3.56219e−5 0 8.59989e-5i
\(56\) −3.41988 + 3.86085i −0.457001 + 0.515928i
\(57\) −10.1680 4.47046i −1.34679 0.592127i
\(58\) 5.34314 10.2228i 0.701589 1.34232i
\(59\) −2.93032 + 8.63245i −0.381495 + 1.12385i 0.571432 + 0.820649i \(0.306388\pi\)
−0.952927 + 0.303199i \(0.901945\pi\)
\(60\) −0.00421913 0.00283754i −0.000544687 0.000366325i
\(61\) −9.36815 4.61986i −1.19947 0.591513i −0.270877 0.962614i \(-0.587314\pi\)
−0.928592 + 0.371101i \(0.878980\pi\)
\(62\) 5.47461 + 3.33446i 0.695276 + 0.423477i
\(63\) −4.85095 + 2.52888i −0.611163 + 0.318609i
\(64\) 7.92082 + 1.12279i 0.990102 + 0.140349i
\(65\) −0.00349222 0.00604871i −0.000433157 0.000750250i
\(66\) −0.347921 + 1.09826i −0.0428261 + 0.135187i
\(67\) −0.370639 5.65486i −0.0452807 0.690851i −0.958805 0.284066i \(-0.908317\pi\)
0.913524 0.406785i \(-0.133350\pi\)
\(68\) −8.23202 9.04349i −0.998279 1.09668i
\(69\) −2.79028 5.97917i −0.335910 0.719807i
\(70\) −0.00202850 0.00319575i −0.000242452 0.000381965i
\(71\) −2.87271 6.93533i −0.340928 0.823072i −0.997622 0.0689156i \(-0.978046\pi\)
0.656695 0.754156i \(-0.271954\pi\)
\(72\) 7.42138 + 4.11378i 0.874617 + 0.484814i
\(73\) −4.91883 + 11.8751i −0.575706 + 1.38988i 0.320928 + 0.947104i \(0.396005\pi\)
−0.896634 + 0.442773i \(0.853995\pi\)
\(74\) 1.04590 + 5.98943i 0.121583 + 0.696258i
\(75\) −6.63250 + 5.56866i −0.765855 + 0.643013i
\(76\) −3.08963 + 12.4480i −0.354405 + 1.42788i
\(77\) −0.565484 + 0.644811i −0.0644429 + 0.0734830i
\(78\) 6.67258 + 9.55702i 0.755521 + 1.08212i
\(79\) 0.469935 + 0.125919i 0.0528718 + 0.0141670i 0.285158 0.958481i \(-0.407954\pi\)
−0.232286 + 0.972647i \(0.574621\pi\)
\(80\) −0.00240005 + 0.00535817i −0.000268333 + 0.000599062i
\(81\) 5.79321 + 6.88758i 0.643690 + 0.765287i
\(82\) 8.05640 5.88676i 0.889681 0.650083i
\(83\) 12.9173 4.38484i 1.41786 0.481298i 0.495830 0.868420i \(-0.334864\pi\)
0.922029 + 0.387121i \(0.126531\pi\)
\(84\) 3.83035 + 5.02305i 0.417926 + 0.548060i
\(85\) 0.00804928 0.00396947i 0.000873067 0.000430549i
\(86\) −1.10892 + 12.4382i −0.119577 + 1.34125i
\(87\) −11.0203 8.83940i −1.18150 0.947683i
\(88\) 1.31802 + 0.180172i 0.140501 + 0.0192064i
\(89\) 3.50955 1.45370i 0.372012 0.154092i −0.188842 0.982008i \(-0.560473\pi\)
0.560853 + 0.827915i \(0.310473\pi\)
\(90\) −0.00440803 + 0.00439867i −0.000464647 + 0.000463660i
\(91\) 1.69284 + 8.51048i 0.177458 + 0.892141i
\(92\) −6.25547 + 4.34939i −0.652178 + 0.453455i
\(93\) 5.30221 5.78977i 0.549814 0.600371i
\(94\) −2.72816 + 9.30266i −0.281389 + 0.959496i
\(95\) −0.00815160 0.00470633i −0.000836337 0.000482859i
\(96\) 3.22327 9.25260i 0.328973 0.944339i
\(97\) −1.67479 + 0.966939i −0.170049 + 0.0981778i −0.582609 0.812753i \(-0.697968\pi\)
0.412560 + 0.910930i \(0.364635\pi\)
\(98\) −1.22689 5.05003i −0.123935 0.510130i
\(99\) 1.23744 + 0.677933i 0.124367 + 0.0681348i
\(100\) 7.63916 + 6.45315i 0.763916 + 0.645315i
\(101\) 10.7981 9.46964i 1.07445 0.942264i 0.0759515 0.997112i \(-0.475801\pi\)
0.998495 + 0.0548475i \(0.0174673\pi\)
\(102\) −12.8150 + 7.75254i −1.26887 + 0.767616i
\(103\) 1.21669 9.24170i 0.119884 0.910612i −0.820773 0.571254i \(-0.806457\pi\)
0.940658 0.339357i \(-0.110210\pi\)
\(104\) 9.56406 9.46971i 0.937833 0.928581i
\(105\) −0.00432019 + 0.00168149i −0.000421607 + 0.000164097i
\(106\) 6.82728 9.71615i 0.663124 0.943716i
\(107\) 0.960741 + 0.641947i 0.0928783 + 0.0620593i 0.601142 0.799142i \(-0.294713\pi\)
−0.508264 + 0.861201i \(0.669713\pi\)
\(108\) 6.69930 7.94477i 0.644640 0.764486i
\(109\) −3.21336 + 16.1546i −0.307784 + 1.54733i 0.448918 + 0.893573i \(0.351809\pi\)
−0.756702 + 0.653760i \(0.773191\pi\)
\(110\) −0.000394669 0 0.000892949i −3.76302e−5 0 8.51393e-5i
\(111\) 7.44481 + 0.160253i 0.706630 + 0.0152105i
\(112\) 4.96324 5.34507i 0.468982 0.505061i
\(113\) −1.17094 4.37002i −0.110153 0.411097i 0.888726 0.458440i \(-0.151591\pi\)
−0.998879 + 0.0473424i \(0.984925\pi\)
\(114\) 14.2274 + 6.65789i 1.33252 + 0.623568i
\(115\) −0.00179732 0.00529473i −0.000167601 0.000493736i
\(116\) −7.89353 + 14.2759i −0.732895 + 1.32549i
\(117\) 13.0631 5.75711i 1.20769 0.532245i
\(118\) 4.42944 12.1075i 0.407763 1.11459i
\(119\) −11.0546 + 1.45537i −1.01337 + 0.133413i
\(120\) 0.00587094 + 0.00415180i 0.000535941 + 0.000379006i
\(121\) −10.6866 1.40692i −0.971507 0.127901i
\(122\) 13.0916 + 6.84257i 1.18526 + 0.619498i
\(123\) −5.16785 11.0740i −0.465969 0.998506i
\(124\) −7.62947 4.89603i −0.685147 0.439676i
\(125\) −0.0122042 + 0.00815457i −0.00109157 + 0.000729367i
\(126\) 6.94232 3.41440i 0.618471 0.304179i
\(127\) 7.38150 0.655002 0.327501 0.944851i \(-0.393793\pi\)
0.327501 + 0.944851i \(0.393793\pi\)
\(128\) −11.1614 1.85030i −0.986536 0.163545i
\(129\) 14.6843 + 4.27540i 1.29288 + 0.376428i
\(130\) 0.00473665 + 0.00866771i 0.000415432 + 0.000760208i
\(131\) 0.915414 + 13.9665i 0.0799801 + 1.22026i 0.829587 + 0.558377i \(0.188576\pi\)
−0.749607 + 0.661883i \(0.769758\pi\)
\(132\) 0.528347 1.54120i 0.0459867 0.134144i
\(133\) 7.71034 + 8.79196i 0.668571 + 0.762359i
\(134\) 0.336350 + 8.00727i 0.0290562 + 0.691723i
\(135\) 0.00424284 + 0.00633773i 0.000365165 + 0.000545465i
\(136\) 11.3385 + 13.0591i 0.972268 + 1.11981i
\(137\) 13.2024 1.73813i 1.12796 0.148499i 0.456630 0.889657i \(-0.349056\pi\)
0.671331 + 0.741158i \(0.265723\pi\)
\(138\) 3.74653 + 8.54609i 0.318926 + 0.727492i
\(139\) 4.48383 + 9.09231i 0.380314 + 0.771200i 0.999906 0.0137243i \(-0.00436870\pi\)
−0.619592 + 0.784924i \(0.712702\pi\)
\(140\) 0.00276189 + 0.00458555i 0.000233422 + 0.000387549i
\(141\) 10.5333 + 5.47934i 0.887064 + 0.461444i
\(142\) 3.83134 + 9.90067i 0.321519 + 0.830846i
\(143\) 1.58253 1.58253i 0.132338 0.132338i
\(144\) −10.3560 6.06246i −0.863000 0.505205i
\(145\) −0.00846540 0.00846540i −0.000703013 0.000703013i
\(146\) 7.34846 16.6261i 0.608163 1.37598i
\(147\) −6.35877 + 0.279506i −0.524462 + 0.0230533i
\(148\) −1.27994 8.50272i −0.105211 0.698919i
\(149\) 2.53602 1.25063i 0.207759 0.102455i −0.335432 0.942064i \(-0.608882\pi\)
0.543191 + 0.839609i \(0.317216\pi\)
\(150\) 9.56199 7.65299i 0.780733 0.624864i
\(151\) −1.03344 7.84976i −0.0841002 0.638805i −0.980637 0.195835i \(-0.937258\pi\)
0.896537 0.442970i \(-0.146075\pi\)
\(152\) 4.78131 17.4967i 0.387816 1.41917i
\(153\) 6.28405 + 17.2337i 0.508035 + 1.39326i
\(154\) 0.820894 0.892883i 0.0661496 0.0719505i
\(155\) 0.00500196 0.00438660i 0.000401767 0.000352340i
\(156\) −9.11668 13.7334i −0.729919 1.09955i
\(157\) 4.92685 0.322923i 0.393205 0.0257720i 0.132481 0.991185i \(-0.457706\pi\)
0.260724 + 0.965413i \(0.416039\pi\)
\(158\) −0.660226 0.193623i −0.0525248 0.0154038i
\(159\) −10.0603 10.5030i −0.797837 0.832940i
\(160\) 0.00357106 0.00749586i 0.000282317 0.000592600i
\(161\) 6.94663i 0.547471i
\(162\) −7.96200 9.93009i −0.625553 0.780181i
\(163\) −0.424608 0.635471i −0.0332579 0.0497739i 0.814468 0.580208i \(-0.197029\pi\)
−0.847726 + 0.530434i \(0.822029\pi\)
\(164\) −11.5857 + 8.05547i −0.904691 + 0.629026i
\(165\) 0.000979656 0 0.000685533i 7.62661e−5 0 5.33687e-5i
\(166\) −18.4083 + 5.77070i −1.42876 + 0.447893i
\(167\) −1.68914 + 12.8303i −0.130710 + 0.992838i 0.792859 + 0.609405i \(0.208592\pi\)
−0.923569 + 0.383433i \(0.874742\pi\)
\(168\) −5.24875 7.22882i −0.404950 0.557716i
\(169\) −1.25871 9.56083i −0.0968236 0.735448i
\(170\) −0.0115120 + 0.00534500i −0.000882930 + 0.000409942i
\(171\) 11.3668 15.5215i 0.869239 1.18696i
\(172\) 1.98060 17.5487i 0.151019 1.33807i
\(173\) −12.7753 + 4.33664i −0.971290 + 0.329709i −0.761591 0.648058i \(-0.775582\pi\)
−0.209699 + 0.977766i \(0.567248\pi\)
\(174\) 15.2874 + 12.8631i 1.15894 + 0.975148i
\(175\) 8.80691 2.35981i 0.665740 0.178384i
\(176\) −1.85747 0.298472i −0.140012 0.0224982i
\(177\) −13.5013 8.18735i −1.01482 0.615399i
\(178\) −5.01013 + 1.93881i −0.375525 + 0.145320i
\(179\) 22.3022 + 4.43619i 1.66695 + 0.331577i 0.936306 0.351185i \(-0.114221\pi\)
0.730642 + 0.682761i \(0.239221\pi\)
\(180\) 0.00637816 0.00607265i 0.000475400 0.000452629i
\(181\) 3.25196 4.86690i 0.241716 0.361753i −0.690699 0.723142i \(-0.742697\pi\)
0.932415 + 0.361389i \(0.117697\pi\)
\(182\) −2.11094 12.0885i −0.156473 0.896060i
\(183\) 11.3200 14.1129i 0.836797 1.04326i
\(184\) 8.98848 5.94167i 0.662640 0.438026i
\(185\) 0.00625639 0.000823670i 0.000459979 6.05574e-5i
\(186\) −7.68854 + 8.00976i −0.563751 + 0.587304i
\(187\) 1.89616 + 2.16215i 0.138661 + 0.158112i
\(188\) 4.16587 13.0618i 0.303827 0.952629i
\(189\) −2.46047 9.15025i −0.178973 0.665582i
\(190\) 0.0113687 + 0.00692445i 0.000824775 + 0.000502352i
\(191\) 7.39107 + 12.8017i 0.534799 + 0.926299i 0.999173 + 0.0406601i \(0.0129461\pi\)
−0.464374 + 0.885639i \(0.653721\pi\)
\(192\) −4.86420 + 12.9746i −0.351044 + 0.936359i
\(193\) −11.7019 + 20.2682i −0.842319 + 1.45894i 0.0456095 + 0.998959i \(0.485477\pi\)
−0.887929 + 0.459981i \(0.847856\pi\)
\(194\) 2.39994 1.31150i 0.172306 0.0941602i
\(195\) 0.0115364 0.00364116i 0.000826142 0.000260749i
\(196\) 1.56702 + 7.18057i 0.111930 + 0.512898i
\(197\) 16.9466 3.37088i 1.20739 0.240165i 0.449942 0.893058i \(-0.351445\pi\)
0.757451 + 0.652892i \(0.226445\pi\)
\(198\) −1.72702 0.999545i −0.122734 0.0710345i
\(199\) −1.16343 2.80878i −0.0824736 0.199109i 0.877263 0.480010i \(-0.159367\pi\)
−0.959737 + 0.280901i \(0.909367\pi\)
\(200\) −10.5863 9.37714i −0.748562 0.663064i
\(201\) 9.70172 + 1.49031i 0.684306 + 0.105119i
\(202\) −15.5808 + 13.0300i −1.09626 + 0.916791i
\(203\) 6.57834 + 13.3396i 0.461709 + 0.936253i
\(204\) 18.3754 10.5354i 1.28654 0.737628i
\(205\) −0.00332880 0.00980633i −0.000232493 0.000684904i
\(206\) −2.02689 + 13.0258i −0.141220 + 0.907547i
\(207\) 11.1560 2.48013i 0.775399 0.172381i
\(208\) −13.8362 + 13.0711i −0.959366 + 0.906318i
\(209\) 0.780627 2.91334i 0.0539971 0.201520i
\(210\) 0.00616379 0.00223396i 0.000425342 0.000154158i
\(211\) 2.85032 + 2.49966i 0.196224 + 0.172084i 0.751820 0.659369i \(-0.229176\pi\)
−0.555596 + 0.831453i \(0.687510\pi\)
\(212\) −9.97502 + 13.5104i −0.685087 + 0.927895i
\(213\) 12.8039 2.26156i 0.877306 0.154959i
\(214\) −1.33701 0.939484i −0.0913964 0.0642218i
\(215\) 0.0119740 + 0.00495980i 0.000816621 + 0.000338255i
\(216\) −9.73530 + 11.0102i −0.662403 + 0.749148i
\(217\) −7.63622 + 3.16302i −0.518380 + 0.214720i
\(218\) 5.07924 22.7332i 0.344010 1.53968i
\(219\) −18.2405 12.7641i −1.23258 0.862520i
\(220\) 0.000587627 0.00124937i 3.96178e−5 8.42328e-5i
\(221\) 29.0338 1.90297i 1.95302 0.128008i
\(222\) −10.5203 0.473640i −0.706078 0.0317887i
\(223\) −22.8371 + 13.1850i −1.52928 + 0.882932i −0.529890 + 0.848066i \(0.677767\pi\)
−0.999392 + 0.0348656i \(0.988900\pi\)
\(224\) −7.19453 + 7.39227i −0.480705 + 0.493917i
\(225\) −6.93406 13.3011i −0.462271 0.886738i
\(226\) 1.51048 + 6.21731i 0.100476 + 0.413569i
\(227\) −8.65364 + 17.5479i −0.574363 + 1.16469i 0.394914 + 0.918718i \(0.370774\pi\)
−0.969276 + 0.245974i \(0.920892\pi\)
\(228\) −19.8941 9.88525i −1.31752 0.654667i
\(229\) −17.4458 5.92205i −1.15285 0.391340i −0.321403 0.946942i \(-0.604154\pi\)
−0.831448 + 0.555602i \(0.812488\pi\)
\(230\) 0.00236538 + 0.00754547i 0.000155968 + 0.000497534i
\(231\) −0.878733 1.19770i −0.0578164 0.0788030i
\(232\) 11.6338 19.9217i 0.763799 1.30792i
\(233\) −2.62420 1.08698i −0.171917 0.0712104i 0.295065 0.955477i \(-0.404659\pi\)
−0.466982 + 0.884267i \(0.654659\pi\)
\(234\) −18.6600 + 7.70601i −1.21985 + 0.503758i
\(235\) 0.00836598 + 0.00558997i 0.000545736 + 0.000364649i
\(236\) −6.66427 + 16.9709i −0.433807 + 1.10471i
\(237\) −0.388879 + 0.747567i −0.0252604 + 0.0485597i
\(238\) 15.6776 1.69076i 1.01622 0.109596i
\(239\) −5.50798 + 1.47586i −0.356282 + 0.0954655i −0.432520 0.901624i \(-0.642376\pi\)
0.0762384 + 0.997090i \(0.475709\pi\)
\(240\) −0.00816268 0.00606476i −0.000526899 0.000391478i
\(241\) 6.22925 + 1.66912i 0.401261 + 0.107518i 0.453805 0.891101i \(-0.350066\pi\)
−0.0525437 + 0.998619i \(0.516733\pi\)
\(242\) 15.0623 + 2.34379i 0.968238 + 0.150664i
\(243\) −13.8165 + 7.21830i −0.886330 + 0.463054i
\(244\) −18.2821 10.1087i −1.17039 0.647141i
\(245\) −0.00538224 0.000352770i −0.000343858 2.25377e-5i
\(246\) 6.93891 + 15.8281i 0.442409 + 1.00917i
\(247\) −18.5767 24.2096i −1.18200 1.54042i
\(248\) 10.6242 + 7.17532i 0.674640 + 0.455633i
\(249\) 2.57915 + 23.4861i 0.163447 + 1.48837i
\(250\) 0.0175252 0.0111241i 0.00110839 0.000703550i
\(251\) −10.0954 + 2.00810i −0.637217 + 0.126750i −0.503118 0.864218i \(-0.667814\pi\)
−0.134099 + 0.990968i \(0.542814\pi\)
\(252\) −9.92853 + 4.59697i −0.625439 + 0.289582i
\(253\) 1.48973 0.995406i 0.0936585 0.0625806i
\(254\) −10.4361 0.244970i −0.654822 0.0153708i
\(255\) 0.00369924 + 0.0150983i 0.000231656 + 0.000945492i
\(256\) 15.7188 + 2.98641i 0.982426 + 0.186650i
\(257\) −7.41081 + 12.8359i −0.462274 + 0.800682i −0.999074 0.0430278i \(-0.986300\pi\)
0.536800 + 0.843709i \(0.319633\pi\)
\(258\) −20.6192 6.53199i −1.28369 0.406664i
\(259\) −7.03128 3.46744i −0.436902 0.215456i
\(260\) −0.00640914 0.0124118i −0.000397478 0.000769748i
\(261\) 19.0742 15.3271i 1.18066 0.948727i
\(262\) −0.830726 19.7766i −0.0513225 1.22180i
\(263\) 2.78282 3.62664i 0.171596 0.223628i −0.699636 0.714499i \(-0.746655\pi\)
0.871232 + 0.490871i \(0.163321\pi\)
\(264\) −0.798137 + 2.16145i −0.0491220 + 0.133028i
\(265\) −0.00750287 0.00977793i −0.000460897 0.000600653i
\(266\) −10.6093 12.6862i −0.650497 0.777839i
\(267\) 1.14444 + 6.47926i 0.0700384 + 0.396525i
\(268\) −0.209802 11.3320i −0.0128157 0.692214i
\(269\) 7.39052 + 1.47007i 0.450608 + 0.0896315i 0.415177 0.909741i \(-0.363720\pi\)
0.0354309 + 0.999372i \(0.488720\pi\)
\(270\) −0.00578830 0.00910124i −0.000352265 0.000553884i
\(271\) 5.32134 5.32134i 0.323248 0.323248i −0.526764 0.850012i \(-0.676595\pi\)
0.850012 + 0.526764i \(0.176595\pi\)
\(272\) −15.5972 18.8396i −0.945722 1.14232i
\(273\) −15.0259 0.323439i −0.909408 0.0195754i
\(274\) −18.7236 + 2.01927i −1.13114 + 0.121988i
\(275\) −1.76804 1.55053i −0.106617 0.0935005i
\(276\) −5.01331 12.2070i −0.301766 0.734776i
\(277\) −0.370662 + 5.65520i −0.0222709 + 0.339788i 0.972154 + 0.234342i \(0.0752937\pi\)
−0.994425 + 0.105446i \(0.966373\pi\)
\(278\) −6.03760 13.0037i −0.362111 0.779912i
\(279\) 7.80603 + 11.1342i 0.467335 + 0.666588i
\(280\) −0.00375264 0.00657482i −0.000224263 0.000392920i
\(281\) −4.33250 3.32445i −0.258456 0.198320i 0.471403 0.881918i \(-0.343748\pi\)
−0.729859 + 0.683598i \(0.760414\pi\)
\(282\) −14.7104 8.09640i −0.875991 0.482134i
\(283\) −2.30422 0.782177i −0.136972 0.0464956i 0.252112 0.967698i \(-0.418875\pi\)
−0.389083 + 0.921203i \(0.627208\pi\)
\(284\) −5.08827 14.1250i −0.301933 0.838162i
\(285\) 0.0110107 0.0120232i 0.000652220 0.000712194i
\(286\) −2.28994 + 2.18490i −0.135407 + 0.129196i
\(287\) 12.8658i 0.759444i
\(288\) 14.4404 + 8.91493i 0.850906 + 0.525317i
\(289\) 20.3877i 1.19928i
\(290\) 0.0116876 + 0.0122495i 0.000686322 + 0.000719317i
\(291\) −1.00818 3.19425i −0.0591004 0.187250i
\(292\) −10.9412 + 23.2625i −0.640286 + 1.36133i
\(293\) −8.63106 2.92985i −0.504232 0.171164i 0.0577214 0.998333i \(-0.481616\pi\)
−0.561953 + 0.827169i \(0.689950\pi\)
\(294\) 8.99946 0.184144i 0.524859 0.0107395i
\(295\) −0.0106156 0.00814564i −0.000618064 0.000474257i
\(296\) 1.52744 + 12.0638i 0.0887804 + 0.701196i
\(297\) −1.60973 + 1.83883i −0.0934063 + 0.106699i
\(298\) −3.62699 + 1.68400i −0.210106 + 0.0975518i
\(299\) 1.18559 18.0885i 0.0685642 1.04609i
\(300\) −13.7730 + 10.5026i −0.795182 + 0.606370i
\(301\) −12.1059 10.6166i −0.697774 0.611931i
\(302\) 1.20059 + 11.1325i 0.0690864 + 0.640602i
\(303\) 11.9715 + 21.8059i 0.687745 + 1.25272i
\(304\) −7.34060 + 24.5786i −0.421012 + 1.40968i
\(305\) 0.0108410 0.0108410i 0.000620755 0.000620755i
\(306\) −8.31260 24.5739i −0.475200 1.40480i
\(307\) −1.95167 0.388211i −0.111388 0.0221564i 0.139082 0.990281i \(-0.455585\pi\)
−0.250469 + 0.968125i \(0.580585\pi\)
\(308\) −1.19023 + 1.23514i −0.0678198 + 0.0703784i
\(309\) 15.1732 + 5.51752i 0.863171 + 0.313881i
\(310\) −0.00721747 + 0.00603588i −0.000409925 + 0.000342815i
\(311\) 0.312655 + 0.407460i 0.0177291 + 0.0231050i 0.802134 0.597144i \(-0.203698\pi\)
−0.784405 + 0.620249i \(0.787031\pi\)
\(312\) 12.4336 + 19.7192i 0.703915 + 1.11638i
\(313\) 4.84984 6.32043i 0.274129 0.357252i −0.635918 0.771756i \(-0.719378\pi\)
0.910047 + 0.414505i \(0.136045\pi\)
\(314\) −6.97641 + 0.293048i −0.393702 + 0.0165377i
\(315\) −0.00122616 0.00793542i −6.90864e−5 0.000447110i
\(316\) 0.927018 + 0.295659i 0.0521488 + 0.0166321i
\(317\) −18.0157 8.88434i −1.01186 0.498994i −0.140731 0.990048i \(-0.544945\pi\)
−0.871129 + 0.491054i \(0.836612\pi\)
\(318\) 13.8750 + 15.1832i 0.778071 + 0.851433i
\(319\) 1.91808 3.32222i 0.107392 0.186008i
\(320\) −0.00529762 + 0.0104793i −0.000296146 + 0.000585812i
\(321\) −1.44529 + 1.38438i −0.0806681 + 0.0772684i
\(322\) 0.230538 9.82131i 0.0128474 0.547320i
\(323\) 32.6032 21.7848i 1.81409 1.21214i
\(324\) 10.9273 + 14.3036i 0.607073 + 0.794646i
\(325\) −23.3353 + 4.64169i −1.29441 + 0.257474i
\(326\) 0.579232 + 0.912536i 0.0320807 + 0.0505407i
\(327\) −26.1161 11.4822i −1.44423 0.634967i
\(328\) 16.6475 11.0045i 0.919203 0.607623i
\(329\) −7.60966 9.91710i −0.419534 0.546748i
\(330\) −0.00136231 0.00100173i −7.49928e−5 5.51437e-5i
\(331\) 23.4045 + 1.53401i 1.28643 + 0.0843168i 0.693215 0.720731i \(-0.256194\pi\)
0.593210 + 0.805048i \(0.297860\pi\)
\(332\) 26.2176 7.54783i 1.43888 0.414241i
\(333\) −3.05824 + 12.5300i −0.167590 + 0.686637i
\(334\) 2.81395 18.0837i 0.153972 0.989497i
\(335\) 0.00803449 + 0.00215283i 0.000438971 + 0.000117622i
\(336\) 7.18090 + 10.3945i 0.391750 + 0.567065i
\(337\) 27.0453 7.24677i 1.47325 0.394757i 0.569207 0.822194i \(-0.307250\pi\)
0.904045 + 0.427437i \(0.140584\pi\)
\(338\) 1.46229 + 13.5591i 0.0795383 + 0.737518i
\(339\) 7.82855 0.344112i 0.425189 0.0186896i
\(340\) 0.0164533 0.00717483i 0.000892307 0.000389110i
\(341\) 1.77254 + 1.18437i 0.0959885 + 0.0641374i
\(342\) −16.5857 + 21.5674i −0.896854 + 1.16623i
\(343\) 17.9839 + 7.44918i 0.971041 + 0.402218i
\(344\) −3.38261 + 24.7450i −0.182378 + 1.33416i
\(345\) 0.00962684 0.00105718i 0.000518292 5.69166e-5i
\(346\) 18.2060 5.70727i 0.978760 0.306825i
\(347\) 5.81674 + 1.97452i 0.312259 + 0.105998i 0.473170 0.880971i \(-0.343110\pi\)
−0.160911 + 0.986969i \(0.551443\pi\)
\(348\) −21.1868 18.6935i −1.13573 1.00208i
\(349\) −1.64640 + 3.33857i −0.0881298 + 0.178710i −0.936475 0.350733i \(-0.885932\pi\)
0.848346 + 0.529443i \(0.177599\pi\)
\(350\) −12.5297 + 3.04407i −0.669743 + 0.162713i
\(351\) 4.84521 + 24.2465i 0.258618 + 1.29418i
\(352\) 2.61623 + 0.483631i 0.139445 + 0.0257776i
\(353\) −1.41149 + 0.814926i −0.0751262 + 0.0433741i −0.537093 0.843523i \(-0.680477\pi\)
0.461966 + 0.886897i \(0.347144\pi\)
\(354\) 18.8167 + 12.0235i 1.00010 + 0.639044i
\(355\) 0.0109947 0.000720630i 0.000583537 3.82471e-5i
\(356\) 7.14779 2.57486i 0.378832 0.136468i
\(357\) 1.67752 19.2393i 0.0887835 1.01825i
\(358\) −31.3842 7.01214i −1.65871 0.370603i
\(359\) 9.93881 4.11679i 0.524550 0.217276i −0.104664 0.994508i \(-0.533377\pi\)
0.629214 + 0.777232i \(0.283377\pi\)
\(360\) −0.00921913 + 0.00837399i −0.000485891 + 0.000441348i
\(361\) −20.4404 8.46667i −1.07581 0.445614i
\(362\) −4.75921 + 6.77301i −0.250139 + 0.355982i
\(363\) 6.38015 17.5454i 0.334871 0.920895i
\(364\) 2.58332 + 17.1611i 0.135403 + 0.899485i
\(365\) −0.0141844 0.0124393i −0.000742443 0.000651105i
\(366\) −16.4728 + 19.5775i −0.861049 + 1.02333i
\(367\) 6.54933 24.4424i 0.341872 1.27589i −0.554351 0.832283i \(-0.687034\pi\)
0.896224 0.443603i \(-0.146300\pi\)
\(368\) −12.9053 + 8.10218i −0.672736 + 0.422355i
\(369\) 20.6620 4.59343i 1.07562 0.239124i
\(370\) −0.00881811 0.00137216i −0.000458431 7.13350e-5i
\(371\) 4.92184 + 14.4993i 0.255529 + 0.752765i
\(372\) 11.1361 11.0692i 0.577378 0.573913i
\(373\) −8.53926 17.3159i −0.442146 0.896583i −0.997871 0.0652172i \(-0.979226\pi\)
0.555725 0.831366i \(-0.312441\pi\)
\(374\) −2.60908 3.11983i −0.134912 0.161323i
\(375\) −0.00922115 0.0236915i −0.000476178 0.00122342i
\(376\) −6.32329 + 18.3288i −0.326099 + 0.945236i
\(377\) −14.8529 35.8580i −0.764961 1.84678i
\(378\) 3.17500 + 13.0185i 0.163304 + 0.669599i
\(379\) −21.6027 + 4.29704i −1.10966 + 0.220724i −0.715702 0.698406i \(-0.753893\pi\)
−0.393954 + 0.919130i \(0.628893\pi\)
\(380\) −0.0158436 0.0101672i −0.000812759 0.000521569i
\(381\) −2.76353 + 12.4829i −0.141580 + 0.639518i
\(382\) −10.0248 18.3447i −0.512915 0.938594i
\(383\) 1.25099 2.16678i 0.0639228 0.110717i −0.832293 0.554336i \(-0.812972\pi\)
0.896216 + 0.443619i \(0.146306\pi\)
\(384\) 7.30771 18.1823i 0.372920 0.927863i
\(385\) −0.000629418 0.00109018i −3.20781e−5 5.55609e-5i
\(386\) 17.2170 28.2674i 0.876324 1.43877i
\(387\) −12.7278 + 23.2321i −0.646988 + 1.18095i
\(388\) −3.43662 + 1.77458i −0.174468 + 0.0900908i
\(389\) −2.23891 2.55299i −0.113517 0.129442i 0.692290 0.721619i \(-0.256602\pi\)
−0.805808 + 0.592177i \(0.798268\pi\)
\(390\) −0.0164313 + 0.00476510i −0.000832033 + 0.000241290i
\(391\) 23.0939 + 3.04037i 1.16791 + 0.153758i
\(392\) −1.97718 10.2041i −0.0998628 0.515383i
\(393\) −23.9616 3.68081i −1.20870 0.185672i
\(394\) −24.0713 + 4.20343i −1.21270 + 0.211766i
\(395\) −0.000396730 0 0.000593748i −1.99616e−5 0 2.98747e-5i
\(396\) 2.40853 + 1.47049i 0.121033 + 0.0738952i
\(397\) −28.2664 5.62253i −1.41865 0.282187i −0.574592 0.818440i \(-0.694839\pi\)
−0.844057 + 0.536253i \(0.819839\pi\)
\(398\) 1.55168 + 4.00973i 0.0777785 + 0.200990i
\(399\) −17.7548 + 9.74740i −0.888850 + 0.487980i
\(400\) 14.6559 + 13.6090i 0.732796 + 0.680448i
\(401\) 28.0510 7.51625i 1.40080 0.375344i 0.522169 0.852842i \(-0.325123\pi\)
0.878633 + 0.477498i \(0.158456\pi\)
\(402\) −13.6671 2.42901i −0.681651 0.121148i
\(403\) 20.4240 6.93302i 1.01739 0.345358i
\(404\) 22.4610 17.9051i 1.11747 0.890813i
\(405\) −0.0123062 + 0.00480233i −0.000611501 + 0.000238629i
\(406\) −8.85791 19.0781i −0.439611 0.946830i
\(407\) 0.263930 + 2.00474i 0.0130825 + 0.0993715i
\(408\) −26.3293 + 14.2854i −1.30349 + 0.707234i
\(409\) −2.64718 + 20.1073i −0.130894 + 0.994242i 0.792360 + 0.610053i \(0.208852\pi\)
−0.923255 + 0.384188i \(0.874481\pi\)
\(410\) 0.00438089 + 0.0139749i 0.000216357 + 0.000690171i
\(411\) −2.00345 + 22.9774i −0.0988228 + 1.13339i
\(412\) 3.29796 18.3489i 0.162479 0.903984i
\(413\) 9.23560 + 13.8220i 0.454454 + 0.680138i
\(414\) −15.8550 + 3.13623i −0.779230 + 0.154137i
\(415\) 0.0200224i 0.000982861i
\(416\) 19.9957 18.0211i 0.980370 0.883555i
\(417\) −17.0547 + 4.17859i −0.835174 + 0.204626i
\(418\) −1.20035 + 4.09304i −0.0587112 + 0.200197i
\(419\) 3.02102 0.198008i 0.147586 0.00967333i 0.00856919 0.999963i \(-0.497272\pi\)
0.139017 + 0.990290i \(0.455606\pi\)
\(420\) −0.00878865 + 0.00295387i −0.000428842 + 0.000144134i
\(421\) 26.0622 22.8560i 1.27020 1.11393i 0.282216 0.959351i \(-0.408930\pi\)
0.987980 0.154581i \(-0.0494029\pi\)
\(422\) −3.94689 3.62868i −0.192132 0.176641i
\(423\) −13.2097 + 15.7615i −0.642276 + 0.766351i
\(424\) 14.5513 18.7702i 0.706673 0.911562i
\(425\) −3.99054 30.3112i −0.193570 1.47031i
\(426\) −18.1775 + 2.77252i −0.880701 + 0.134329i
\(427\) −17.0830 + 8.42440i −0.826704 + 0.407685i
\(428\) 1.85912 + 1.37264i 0.0898642 + 0.0663489i
\(429\) 2.08375 + 3.26870i 0.100604 + 0.157814i
\(430\) −0.0167645 0.00740966i −0.000808458 0.000357326i
\(431\) −6.22334 6.22334i −0.299768 0.299768i 0.541155 0.840923i \(-0.317987\pi\)
−0.840923 + 0.541155i \(0.817987\pi\)
\(432\) 14.1294 15.2434i 0.679801 0.733397i
\(433\) 6.55162 6.55162i 0.314851 0.314851i −0.531935 0.846785i \(-0.678535\pi\)
0.846785 + 0.531935i \(0.178535\pi\)
\(434\) 10.9012 4.21854i 0.523276 0.202496i
\(435\) 0.0174852 0.0111465i 0.000838351 0.000534436i
\(436\) −7.93561 + 31.9721i −0.380047 + 1.53119i
\(437\) −10.8049 21.9101i −0.516868 1.04810i
\(438\) 25.3653 + 18.6516i 1.21200 + 0.891208i
\(439\) 31.0279 4.08491i 1.48088 0.194962i 0.653640 0.756806i \(-0.273241\pi\)
0.827243 + 0.561844i \(0.189908\pi\)
\(440\) −0.000872265 0.00174689i −4.15836e−5 8.32799e-5i
\(441\) 1.90796 10.8580i 0.0908554 0.517047i
\(442\) −41.1118 + 1.72693i −1.95549 + 0.0821415i
\(443\) 22.7130 + 25.8992i 1.07913 + 1.23051i 0.971681 + 0.236296i \(0.0759334\pi\)
0.107444 + 0.994211i \(0.465733\pi\)
\(444\) 14.8582 + 1.01878i 0.705138 + 0.0483493i
\(445\) 0.000364667 0.00556375i 1.72869e−5 0.000263747i
\(446\) 32.7252 17.8834i 1.54958 0.846801i
\(447\) 1.16549 + 4.75690i 0.0551258 + 0.224993i
\(448\) 10.4171 10.2126i 0.492163 0.482500i
\(449\) −10.2421 −0.483355 −0.241677 0.970357i \(-0.577698\pi\)
−0.241677 + 0.970357i \(0.577698\pi\)
\(450\) 9.36212 + 19.0355i 0.441335 + 0.897342i
\(451\) 2.75912 1.84358i 0.129922 0.0868109i
\(452\) −1.92922 8.84031i −0.0907429 0.415813i
\(453\) 13.6617 + 1.19119i 0.641882 + 0.0559669i
\(454\) 12.8171 24.5224i 0.601536 1.15089i
\(455\) −0.0126273 0.00166242i −0.000591977 7.79353e-5i
\(456\) 27.7987 + 14.6362i 1.30179 + 0.685404i
\(457\) −32.6118 + 4.29342i −1.52551 + 0.200838i −0.846143 0.532957i \(-0.821081\pi\)
−0.679372 + 0.733794i \(0.737748\pi\)
\(458\) 24.4688 + 8.95172i 1.14335 + 0.418286i
\(459\) −31.4966 + 4.17492i −1.47014 + 0.194869i
\(460\) −0.00309382 0.0107465i −0.000144250 0.000501057i
\(461\) 9.48916 + 27.9542i 0.441954 + 1.30196i 0.908658 + 0.417542i \(0.137108\pi\)
−0.466703 + 0.884414i \(0.654558\pi\)
\(462\) 1.20263 + 1.72250i 0.0559512 + 0.0801380i
\(463\) −9.01532 33.6456i −0.418978 1.56365i −0.776733 0.629830i \(-0.783124\pi\)
0.357755 0.933815i \(-0.383542\pi\)
\(464\) −17.1093 + 27.7797i −0.794281 + 1.28964i
\(465\) 0.00554554 + 0.0101011i 0.000257168 + 0.000468428i
\(466\) 3.67408 + 1.62389i 0.170199 + 0.0752251i
\(467\) 4.23237 21.2776i 0.195851 0.984608i −0.750353 0.661037i \(-0.770117\pi\)
0.946204 0.323571i \(-0.104883\pi\)
\(468\) 26.6378 10.2757i 1.23133 0.474993i
\(469\) −8.59229 5.74118i −0.396755 0.265103i
\(470\) −0.0116425 0.00818087i −0.000537029 0.000377355i
\(471\) −1.29845 + 8.45271i −0.0598293 + 0.389480i
\(472\) 9.98531 23.7727i 0.459611 1.09423i
\(473\) −0.542072 + 4.11745i −0.0249245 + 0.189320i
\(474\) 0.574616 1.04402i 0.0263930 0.0479535i
\(475\) −24.1071 + 21.1414i −1.10611 + 0.970033i
\(476\) −22.2214 + 1.87015i −1.01852 + 0.0857181i
\(477\) 21.5281 13.0809i 0.985703 0.598934i
\(478\) 7.83630 1.90381i 0.358424 0.0870784i
\(479\) −17.3793 + 10.0340i −0.794082 + 0.458463i −0.841398 0.540417i \(-0.818267\pi\)
0.0473156 + 0.998880i \(0.484933\pi\)
\(480\) 0.0113393 + 0.00884539i 0.000517567 + 0.000403735i
\(481\) 17.7172 + 10.2290i 0.807833 + 0.466403i
\(482\) −8.75167 2.56658i −0.398628 0.116904i
\(483\) −11.7475 2.60072i −0.534529 0.118337i
\(484\) −21.2176 3.81357i −0.964436 0.173344i
\(485\) −0.000553767 0.00278397i −2.51453e−5 0.000126414i
\(486\) 19.7737 9.74688i 0.896952 0.442127i
\(487\) −7.89910 + 3.27191i −0.357942 + 0.148265i −0.554406 0.832247i \(-0.687054\pi\)
0.196463 + 0.980511i \(0.437054\pi\)
\(488\) 25.5123 + 14.8986i 1.15489 + 0.674428i
\(489\) 1.23362 0.480145i 0.0557860 0.0217129i
\(490\) 0.00759783 0.000677376i 0.000343235 3.06007e-5i
\(491\) 0.632679 0.312003i 0.0285524 0.0140805i −0.427956 0.903799i \(-0.640766\pi\)
0.456509 + 0.889719i \(0.349100\pi\)
\(492\) −9.28511 22.6085i −0.418605 1.01927i
\(493\) 47.2261 16.0311i 2.12696 0.722005i
\(494\) 25.4607 + 34.8446i 1.14553 + 1.56773i
\(495\) −0.00152608 + 0.00140005i −6.85921e−5 + 6.29274e-5i
\(496\) −14.7827 10.4972i −0.663762 0.471340i
\(497\) −13.2223 3.54289i −0.593099 0.158920i
\(498\) −2.86703 33.2909i −0.128475 1.49180i
\(499\) 27.6799 31.5629i 1.23912 1.41295i 0.362350 0.932042i \(-0.381974\pi\)
0.876772 0.480906i \(-0.159692\pi\)
\(500\) −0.0251467 + 0.0151459i −0.00112459 + 0.000677346i
\(501\) −21.0650 7.66000i −0.941114 0.342224i
\(502\) 14.3398 2.50407i 0.640016 0.111762i
\(503\) 0.570737 1.37788i 0.0254479 0.0614367i −0.910645 0.413190i \(-0.864414\pi\)
0.936093 + 0.351753i \(0.114414\pi\)
\(504\) 14.1898 6.16980i 0.632062 0.274825i
\(505\) 0.00806718 + 0.0194759i 0.000358985 + 0.000866666i
\(506\) −2.13925 + 1.35789i −0.0951013 + 0.0603655i
\(507\) 16.6396 + 1.45084i 0.738991 + 0.0644340i
\(508\) 14.7467 + 0.692690i 0.654281 + 0.0307331i
\(509\) −2.42273 36.9637i −0.107386 1.63839i −0.623468 0.781849i \(-0.714277\pi\)
0.516083 0.856539i \(-0.327390\pi\)
\(510\) −0.00472901 0.0214691i −0.000209404 0.000950668i
\(511\) 11.7193 + 20.2985i 0.518432 + 0.897951i
\(512\) −22.1245 4.74392i −0.977776 0.209653i
\(513\) 21.9929 + 25.0334i 0.971010 + 1.10525i
\(514\) 10.9036 17.9018i 0.480936 0.789613i
\(515\) 0.0122709 + 0.00605133i 0.000540720 + 0.000266654i
\(516\) 28.9351 + 9.91938i 1.27380 + 0.436676i
\(517\) −1.03635 + 3.05297i −0.0455784 + 0.134270i
\(518\) 9.82592 + 5.13570i 0.431726 + 0.225650i
\(519\) −2.55080 23.2280i −0.111968 1.01960i
\(520\) 0.00864948 + 0.0177608i 0.000379305 + 0.000778863i
\(521\) −6.29127 + 15.1885i −0.275625 + 0.665418i −0.999705 0.0242982i \(-0.992265\pi\)
0.724079 + 0.689717i \(0.242265\pi\)
\(522\) −27.4762 + 21.0369i −1.20260 + 0.920759i
\(523\) −16.3087 + 24.4077i −0.713131 + 1.06728i 0.281065 + 0.959689i \(0.409312\pi\)
−0.994196 + 0.107587i \(0.965688\pi\)
\(524\) 0.518175 + 27.9882i 0.0226366 + 1.22267i
\(525\) 0.693489 + 15.7769i 0.0302663 + 0.688560i
\(526\) −4.05477 + 5.03508i −0.176797 + 0.219540i
\(527\) 7.17321 + 26.7708i 0.312470 + 1.16615i
\(528\) 1.20016 3.02943i 0.0522302 0.131839i
\(529\) −2.19685 + 8.19874i −0.0955151 + 0.356467i
\(530\) 0.0102832 + 0.0140733i 0.000446675 + 0.000611304i
\(531\) 18.9004 19.7669i 0.820206 0.857809i
\(532\) 14.5786 + 18.2881i 0.632065 + 0.792890i
\(533\) 2.19581 33.5016i 0.0951112 1.45112i
\(534\) −1.40300 9.19852i −0.0607139 0.398059i
\(535\) −0.00134552 + 0.00103245i −5.81717e−5 + 4.46367e-5i
\(536\) −0.0794534 + 16.0285i −0.00343187 + 0.692324i
\(537\) −15.8517 + 36.0546i −0.684052 + 1.55587i
\(538\) −10.4001 2.32368i −0.448381 0.100181i
\(539\) −0.337182 1.69513i −0.0145235 0.0730143i
\(540\) 0.00788159 + 0.0130597i 0.000339170 + 0.000561998i
\(541\) −5.91479 8.85211i −0.254297 0.380582i 0.682253 0.731116i \(-0.261000\pi\)
−0.936550 + 0.350534i \(0.886000\pi\)
\(542\) −7.70003 + 7.34683i −0.330745 + 0.315574i
\(543\) 7.01294 + 7.32150i 0.300954 + 0.314195i
\(544\) 21.4265 + 27.1534i 0.918655 + 1.16419i
\(545\) −0.0209371 0.0120880i −0.000896845 0.000517794i
\(546\) 21.2332 + 0.955951i 0.908699 + 0.0409109i
\(547\) −7.77061 + 15.7572i −0.332247 + 0.673731i −0.997329 0.0730395i \(-0.976730\pi\)
0.665082 + 0.746771i \(0.268397\pi\)
\(548\) 26.5389 2.23351i 1.13369 0.0954107i
\(549\) 19.6284 + 24.4270i 0.837718 + 1.04252i
\(550\) 2.44824 + 2.25085i 0.104393 + 0.0959767i
\(551\) −41.4970 31.8418i −1.76783 1.35651i
\(552\) 6.68283 + 17.4249i 0.284440 + 0.741655i
\(553\) 0.703834 0.540071i 0.0299301 0.0229662i
\(554\) 0.711730 7.98316i 0.0302385 0.339172i
\(555\) −0.00373522 + 0.0102718i −0.000158551 + 0.000436016i
\(556\) 8.10455 + 18.5854i 0.343709 + 0.788195i
\(557\) −4.78778 + 24.0698i −0.202865 + 1.01987i 0.736366 + 0.676584i \(0.236540\pi\)
−0.939231 + 0.343287i \(0.888460\pi\)
\(558\) −10.6668 16.0009i −0.451564 0.677371i
\(559\) 29.7110 + 29.7110i 1.25664 + 1.25664i
\(560\) 0.00508737 + 0.00942017i 0.000214981 + 0.000398075i
\(561\) −4.36632 + 2.39712i −0.184346 + 0.101207i
\(562\) 6.01507 + 4.84397i 0.253730 + 0.204330i
\(563\) −15.4951 + 17.6688i −0.653040 + 0.744650i −0.979695 0.200494i \(-0.935745\pi\)
0.326655 + 0.945144i \(0.394079\pi\)
\(564\) 20.5292 + 11.9351i 0.864435 + 0.502557i
\(565\) 0.00662630 0.000434311i 0.000278771 1.82716e-5i
\(566\) 3.23180 + 1.18233i 0.135843 + 0.0496970i
\(567\) 16.3952 0.735181i 0.688533 0.0308747i
\(568\) 6.72515 + 20.1391i 0.282181 + 0.845017i
\(569\) 17.1929 22.4063i 0.720766 0.939320i −0.279014 0.960287i \(-0.590008\pi\)
0.999780 + 0.0209665i \(0.00667434\pi\)
\(570\) −0.0159663 + 0.0166333i −0.000668753 + 0.000696693i
\(571\) −5.76566 + 16.9851i −0.241285 + 0.710804i 0.757062 + 0.653343i \(0.226634\pi\)
−0.998348 + 0.0574614i \(0.981699\pi\)
\(572\) 3.31008 3.01307i 0.138402 0.125983i
\(573\) −24.4162 + 7.70629i −1.02000 + 0.321935i
\(574\) 0.426978 18.1900i 0.0178217 0.759235i
\(575\) −19.0473 −0.794328
\(576\) −20.1203 13.0834i −0.838345 0.545141i
\(577\) 28.7912 1.19859 0.599296 0.800527i \(-0.295447\pi\)
0.599296 + 0.800527i \(0.295447\pi\)
\(578\) 0.676607 28.8246i 0.0281431 1.19895i
\(579\) −29.8947 27.3773i −1.24238 1.13776i
\(580\) −0.0161177 0.0177066i −0.000669253 0.000735224i
\(581\) 7.99583 23.5549i 0.331723 0.977224i
\(582\) 1.31938 + 4.54957i 0.0546900 + 0.188586i
\(583\) 2.40415 3.13315i 0.0995699 0.129762i
\(584\) 16.2410 32.5259i 0.672055 1.34593i
\(585\) 0.00183850 + 0.0208725i 7.60126e−5 + 0.000862973i
\(586\) 12.1056 + 4.42873i 0.500076 + 0.182949i
\(587\) −16.4437 1.07778i −0.678706 0.0444847i −0.277848 0.960625i \(-0.589621\pi\)
−0.400858 + 0.916140i \(0.631288\pi\)
\(588\) −12.7298 0.0383186i −0.524966 0.00158023i
\(589\) 19.1653 21.8539i 0.789694 0.900473i
\(590\) 0.0147383 + 0.0118688i 0.000606765 + 0.000488631i
\(591\) −0.644050 + 29.9204i −0.0264927 + 1.23076i
\(592\) −1.75916 17.1068i −0.0723011 0.703086i
\(593\) −0.133137 0.133137i −0.00546726 0.00546726i 0.704368 0.709835i \(-0.251231\pi\)
−0.709835 + 0.704368i \(0.751231\pi\)
\(594\) 2.33691 2.54635i 0.0958844 0.104478i
\(595\) 0.00319280 0.0160513i 0.000130892 0.000658039i
\(596\) 5.18382 2.26052i 0.212337 0.0925944i
\(597\) 5.18551 0.915920i 0.212229 0.0374861i
\(598\) −2.27651 + 25.5347i −0.0930936 + 1.04419i
\(599\) −33.5900 + 25.7745i −1.37245 + 1.05312i −0.380731 + 0.924686i \(0.624328\pi\)
−0.991718 + 0.128432i \(0.959006\pi\)
\(600\) 19.8211 14.3918i 0.809192 0.587543i
\(601\) −18.3666 14.0932i −0.749189 0.574873i 0.162035 0.986785i \(-0.448194\pi\)
−0.911223 + 0.411912i \(0.864861\pi\)
\(602\) 16.7633 + 15.4118i 0.683221 + 0.628137i
\(603\) −6.15246 + 15.8487i −0.250548 + 0.645407i
\(604\) −1.32797 15.7792i −0.0540345 0.642047i
\(605\) 0.00699742 0.0141894i 0.000284486 0.000576880i
\(606\) −16.2019 31.2271i −0.658158 1.26851i
\(607\) −31.2419 18.0375i −1.26807 0.732121i −0.293448 0.955975i \(-0.594803\pi\)
−0.974623 + 0.223854i \(0.928136\pi\)
\(608\) 11.1940 34.5062i 0.453977 1.39941i
\(609\) −25.0214 + 6.13051i −1.01392 + 0.248421i
\(610\) −0.0156871 + 0.0149675i −0.000635151 + 0.000606017i
\(611\) 18.1225 + 27.1222i 0.733156 + 1.09725i
\(612\) 10.9370 + 35.0191i 0.442103 + 1.41556i
\(613\) 2.12984 + 10.7074i 0.0860236 + 0.432470i 0.999663 + 0.0259450i \(0.00825947\pi\)
−0.913640 + 0.406525i \(0.866741\pi\)
\(614\) 2.74643 + 0.613632i 0.110837 + 0.0247642i
\(615\) 0.0178298 0.00195799i 0.000718966 7.89539e-5i
\(616\) 1.72377 1.70676i 0.0694527 0.0687675i
\(617\) 32.1533 24.6721i 1.29444 0.993262i 0.295160 0.955448i \(-0.404627\pi\)
0.999285 0.0378145i \(-0.0120396\pi\)
\(618\) −21.2691 8.30436i −0.855568 0.334050i
\(619\) −0.0758459 + 1.15718i −0.00304850 + 0.0465112i −0.999112 0.0421298i \(-0.986586\pi\)
0.996064 + 0.0886410i \(0.0282524\pi\)
\(620\) 0.0104045 0.00829415i 0.000417857 0.000333101i
\(621\) 0.0174887 + 19.7946i 0.000701799 + 0.794328i
\(622\) −0.428517 0.586453i −0.0171820 0.0235146i
\(623\) 1.79284 6.69098i 0.0718288 0.268069i
\(624\) −16.9245 28.2921i −0.677523 1.13259i
\(625\) 6.47047 + 24.1481i 0.258819 + 0.965925i
\(626\) −7.06657 + 8.77502i −0.282437 + 0.350720i
\(627\) 4.63451 + 2.41084i 0.185084 + 0.0962795i
\(628\) 9.87314 0.182792i 0.393981 0.00729420i
\(629\) −14.6048 + 21.8577i −0.582333 + 0.871523i
\(630\) 0.00147023 + 0.0112600i 5.85752e−5 + 0.000448608i
\(631\) 13.9275 33.6240i 0.554446 1.33855i −0.359662 0.933083i \(-0.617108\pi\)
0.914109 0.405470i \(-0.132892\pi\)
\(632\) −1.30083 0.448775i −0.0517442 0.0178513i
\(633\) −5.29431 + 3.88435i −0.210430 + 0.154389i
\(634\) 25.1761 + 13.1588i 0.999871 + 0.522602i
\(635\) −0.00348262 + 0.0102595i −0.000138204 + 0.000407134i
\(636\) −19.1129 21.9269i −0.757876 0.869458i
\(637\) −15.6831 7.73406i −0.621388 0.306435i
\(638\) −2.82209 + 4.63337i −0.111727 + 0.183437i
\(639\) −0.969067 + 22.4994i −0.0383357 + 0.890061i
\(640\) 0.00783768 0.0146401i 0.000309812 0.000578701i
\(641\) 5.10204 + 8.83699i 0.201518 + 0.349040i 0.949018 0.315222i \(-0.102079\pi\)
−0.747499 + 0.664262i \(0.768746\pi\)
\(642\) 2.08933 1.90930i 0.0824591 0.0753541i
\(643\) 1.71880 + 26.2238i 0.0677829 + 1.03417i 0.887324 + 0.461147i \(0.152562\pi\)
−0.819541 + 0.573020i \(0.805772\pi\)
\(644\) −0.651881 + 13.8780i −0.0256877 + 0.546868i
\(645\) −0.0128704 + 0.0183924i −0.000506773 + 0.000724201i
\(646\) −46.8182 + 29.7179i −1.84204 + 1.16923i
\(647\) 10.4689 + 25.2743i 0.411577 + 0.993634i 0.984715 + 0.174175i \(0.0557258\pi\)
−0.573138 + 0.819459i \(0.694274\pi\)
\(648\) −14.9746 20.5855i −0.588258 0.808673i
\(649\) 1.64079 3.96121i 0.0644066 0.155491i
\(650\) 33.1461 5.78810i 1.30010 0.227028i
\(651\) −2.49011 14.0978i −0.0975951 0.552538i
\(652\) −0.788648 1.30939i −0.0308858 0.0512796i
\(653\) −24.3006 + 27.7095i −0.950955 + 1.08436i 0.0453925 + 0.998969i \(0.485546\pi\)
−0.996348 + 0.0853875i \(0.972787\pi\)
\(654\) 36.5426 + 17.1005i 1.42893 + 0.668683i
\(655\) −0.0198438 0.00531713i −0.000775361 0.000207757i
\(656\) −23.9018 + 15.0060i −0.933209 + 0.585885i
\(657\) 28.4145 26.0679i 1.10855 1.01701i
\(658\) 10.4296 + 14.2736i 0.406588 + 0.556442i
\(659\) 27.3977 9.30027i 1.06726 0.362287i 0.268094 0.963393i \(-0.413606\pi\)
0.799169 + 0.601106i \(0.205273\pi\)
\(660\) 0.00189282 + 0.00146149i 7.36781e−5 + 5.68883e-5i
\(661\) −44.0314 + 21.7139i −1.71262 + 0.844573i −0.724807 + 0.688952i \(0.758071\pi\)
−0.987817 + 0.155621i \(0.950262\pi\)
\(662\) −33.0389 2.94554i −1.28409 0.114482i
\(663\) −7.65172 + 49.8116i −0.297168 + 1.93452i
\(664\) −37.3176 + 9.80122i −1.44820 + 0.380361i
\(665\) −0.0158576 + 0.00656844i −0.000614932 + 0.000254713i
\(666\) 4.73964 17.6137i 0.183657 0.682515i
\(667\) −6.06178 30.4746i −0.234713 1.17998i
\(668\) −4.57857 + 25.4738i −0.177150 + 0.985611i
\(669\) −13.7473 43.5561i −0.531501 1.68398i
\(670\) −0.0112879 0.00331037i −0.000436090 0.000127891i
\(671\) 4.25452 + 2.45635i 0.164244 + 0.0948264i
\(672\) −9.80757 14.9343i −0.378335 0.576102i
\(673\) −1.23439 + 0.712678i −0.0475824 + 0.0274717i −0.523602 0.851963i \(-0.675412\pi\)
0.476020 + 0.879434i \(0.342079\pi\)
\(674\) −38.4778 + 9.34810i −1.48211 + 0.360076i
\(675\) 25.0895 6.74648i 0.965696 0.259672i
\(676\) −1.61744 19.2187i −0.0622093 0.739181i
\(677\) −6.29388 + 5.51958i −0.241893 + 0.212135i −0.771705 0.635980i \(-0.780596\pi\)
0.529812 + 0.848115i \(0.322263\pi\)
\(678\) −11.0796 + 0.226707i −0.425510 + 0.00870664i
\(679\) −0.460296 + 3.49629i −0.0176645 + 0.134175i
\(680\) −0.0235002 + 0.00959792i −0.000901193 + 0.000368063i
\(681\) −26.4355 21.2039i −1.01301 0.812535i
\(682\) −2.46676 1.73332i −0.0944569 0.0663723i
\(683\) −12.9557 8.65675i −0.495738 0.331241i 0.282440 0.959285i \(-0.408856\pi\)
−0.778178 + 0.628043i \(0.783856\pi\)
\(684\) 24.1651 29.9421i 0.923975 1.14487i
\(685\) −0.00381315 + 0.0191700i −0.000145693 + 0.000732447i
\(686\) −25.1789 11.1287i −0.961334 0.424895i
\(687\) 16.5463 27.2855i 0.631280 1.04101i
\(688\) 5.60362 34.8728i 0.213636 1.32951i
\(689\) −10.3415 38.5951i −0.393981 1.47036i
\(690\) −0.0136457 + 0.00117518i −0.000519485 + 4.47383e-5i
\(691\) 1.75958 + 5.18356i 0.0669377 + 0.197192i 0.975252 0.221096i \(-0.0709635\pi\)
−0.908314 + 0.418288i \(0.862630\pi\)
\(692\) −25.9295 + 7.46487i −0.985690 + 0.283772i
\(693\) 2.35442 1.03763i 0.0894372 0.0394162i
\(694\) −8.15832 2.98466i −0.309686 0.113296i
\(695\) −0.0147528 + 0.00194224i −0.000559605 + 7.36734e-5i
\(696\) 29.3341 + 27.1324i 1.11191 + 1.02845i
\(697\) 42.7720 + 5.63104i 1.62010 + 0.213291i
\(698\) 2.43852 4.66551i 0.0922993 0.176592i
\(699\) 2.82066 4.03085i 0.106687 0.152461i
\(700\) 17.8159 3.88796i 0.673377 0.146951i
\(701\) −26.9818 + 18.0287i −1.01909 + 0.680934i −0.948567 0.316576i \(-0.897467\pi\)
−0.0705224 + 0.997510i \(0.522467\pi\)
\(702\) −6.04560 34.4411i −0.228176 1.29990i
\(703\) 27.5704 1.03984
\(704\) −3.68284 0.770594i −0.138802 0.0290428i
\(705\) −0.0125853 + 0.0120549i −0.000473991 + 0.000454015i
\(706\) 2.02265 1.10532i 0.0761234 0.0415992i
\(707\) −1.71289 26.1336i −0.0644197 0.982855i
\(708\) −26.2045 17.6236i −0.984827 0.662337i
\(709\) 22.6388 + 25.8147i 0.850220 + 0.969490i 0.999815 0.0192575i \(-0.00613023\pi\)
−0.149595 + 0.988747i \(0.547797\pi\)
\(710\) −0.0155685 0.000653963i −0.000584274 2.45428e-5i
\(711\) −1.11862 0.937513i −0.0419516 0.0351595i
\(712\) −10.1912 + 3.40319i −0.381930 + 0.127540i
\(713\) 17.1193 2.25380i 0.641122 0.0844053i
\(714\) −3.01021 + 27.1454i −0.112654 + 1.01589i
\(715\) 0.00145290 + 0.00294619i 5.43353e−5 + 0.000110181i
\(716\) 44.1391 + 10.9555i 1.64955 + 0.409426i
\(717\) −0.433719 9.86712i −0.0161975 0.368494i
\(718\) −14.1883 + 5.49057i −0.529504 + 0.204906i
\(719\) 6.60506 6.60506i 0.246327 0.246327i −0.573134 0.819461i \(-0.694273\pi\)
0.819461 + 0.573134i \(0.194273\pi\)
\(720\) 0.0133121 0.0115334i 0.000496114 0.000429824i
\(721\) −12.0193 12.0193i −0.447621 0.447621i
\(722\) 28.6181 + 12.6487i 1.06505 + 0.470737i
\(723\) −5.15481 + 9.90942i −0.191709 + 0.368535i
\(724\) 6.95346 9.41790i 0.258423 0.350014i
\(725\) −36.5764 + 18.0375i −1.35841 + 0.669895i
\(726\) −9.60269 + 24.5944i −0.356389 + 0.912783i
\(727\) −4.90476 37.2553i −0.181907 1.38172i −0.802060 0.597243i \(-0.796263\pi\)
0.620153 0.784481i \(-0.287070\pi\)
\(728\) −3.08283 24.3485i −0.114257 0.902415i
\(729\) −7.03419 26.0676i −0.260525 0.965467i
\(730\) 0.0196414 + 0.0180578i 0.000726959 + 0.000668349i
\(731\) −40.5931 + 35.5992i −1.50139 + 1.31668i
\(732\) 23.9394 27.1325i 0.884826 1.00284i
\(733\) −18.6800 + 1.22435i −0.689960 + 0.0452224i −0.406350 0.913717i \(-0.633199\pi\)
−0.283610 + 0.958940i \(0.591532\pi\)
\(734\) −10.0708 + 34.3400i −0.371719 + 1.26751i
\(735\) 0.00261161 0.00896985i 9.63306e−5 0.000330858i
\(736\) 18.5147 11.0268i 0.682462 0.406452i
\(737\) 2.66532i 0.0981783i
\(738\) −29.3649 + 5.80859i −1.08094 + 0.213817i
\(739\) −3.21218 4.80737i −0.118162 0.176842i 0.767674 0.640841i \(-0.221414\pi\)
−0.885836 + 0.463999i \(0.846414\pi\)
\(740\) 0.0124217 + 0.00223263i 0.000456631 + 8.20732e-5i
\(741\) 47.8958 22.3513i 1.75949 0.821097i
\(742\) −6.47743 20.6628i −0.237794 0.758554i
\(743\) 2.08236 15.8171i 0.0763946 0.580274i −0.909845 0.414949i \(-0.863799\pi\)
0.986239 0.165325i \(-0.0528673\pi\)
\(744\) −16.1118 + 15.2804i −0.590687 + 0.560205i
\(745\) 0.000541729 0.00411484i 1.98474e−5 0.000150756i
\(746\) 11.4983 + 24.7650i 0.420984 + 0.906712i
\(747\) −40.6831 4.43128i −1.48852 0.162132i
\(748\) 3.58524 + 4.49748i 0.131089 + 0.164444i
\(749\) 1.99521 0.677282i 0.0729033 0.0247473i
\(750\) 0.0122508 + 0.0338016i 0.000447337 + 0.00123426i
\(751\) −21.9828 + 5.89026i −0.802162 + 0.214939i −0.636533 0.771249i \(-0.719632\pi\)
−0.165629 + 0.986188i \(0.552965\pi\)
\(752\) 9.54830 25.7039i 0.348191 0.937324i
\(753\) 0.383674 17.8242i 0.0139819 0.649551i
\(754\) 19.8093 + 51.1898i 0.721413 + 1.86422i
\(755\) 0.0113979 + 0.00226718i 0.000414811 + 8.25111e-5i
\(756\) −4.05684 18.5112i −0.147546 0.673247i
\(757\) −11.8040 + 17.6659i −0.429023 + 0.642079i −0.981503 0.191448i \(-0.938682\pi\)
0.552480 + 0.833526i \(0.313682\pi\)
\(758\) 30.6850 5.35833i 1.11453 0.194623i
\(759\) 1.12560 + 2.89196i 0.0408567 + 0.104971i
\(760\) 0.0220626 + 0.0149005i 0.000800296 + 0.000540498i
\(761\) −36.7874 4.84315i −1.33354 0.175564i −0.570171 0.821526i \(-0.693123\pi\)
−0.763370 + 0.645962i \(0.776456\pi\)
\(762\) 4.32142 17.5569i 0.156549 0.636019i
\(763\) 19.8037 + 22.5818i 0.716942 + 0.817516i
\(764\) 13.5645 + 26.2688i 0.490748 + 0.950372i
\(765\) −0.0269177 0.000603210i −0.000973213 2.18091e-5i
\(766\) −1.84059 + 3.02193i −0.0665033 + 0.109187i
\(767\) −21.6898 37.5679i −0.783174 1.35650i
\(768\) −10.9352 + 25.4641i −0.394591 + 0.918857i
\(769\) 16.0980 27.8825i 0.580508 1.00547i −0.414912 0.909862i \(-0.636187\pi\)
0.995419 0.0956070i \(-0.0304792\pi\)
\(770\) 0.000853706 0.00156222i 3.07654e−5 5.62984e-5i
\(771\) −18.9323 17.3380i −0.681832 0.624414i