Properties

Label 483.2.bf.a.10.8
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.8
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.544288 + 1.57262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.604770 - 0.475596i) q^{4} +(1.92390 - 0.183711i) q^{5} +(1.64721 - 0.236832i) q^{6} +(0.763953 + 2.53306i) q^{7} +(-1.72283 + 1.10720i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.544288 + 1.57262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.604770 - 0.475596i) q^{4} +(1.92390 - 0.183711i) q^{5} +(1.64721 - 0.236832i) q^{6} +(0.763953 + 2.53306i) q^{7} +(-1.72283 + 1.10720i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.758252 + 3.12556i) q^{10} +(3.76860 - 1.30433i) q^{11} +(-0.145605 + 0.755472i) q^{12} +(-0.663405 - 2.25935i) q^{13} +(-4.39934 - 0.177308i) q^{14} +(-1.04487 - 1.62585i) q^{15} +(-1.16626 - 4.80737i) q^{16} +(3.90548 + 1.56352i) q^{17} +(-0.965298 - 1.35557i) q^{18} +(-1.75029 + 0.700711i) q^{19} +(-1.25089 - 0.803899i) q^{20} +(1.90141 - 1.83974i) q^{21} +6.63650i q^{22} +(1.51901 + 4.54891i) q^{23} +(1.77356 + 1.02397i) q^{24} +(-1.24199 + 0.239373i) q^{25} +(3.91418 + 0.186455i) q^{26} +(0.989821 + 0.142315i) q^{27} +(0.742697 - 1.89525i) q^{28} +(1.49969 + 10.4306i) q^{29} +(3.12556 - 0.758252i) q^{30} +(7.19690 - 0.342831i) q^{31} +(4.11761 + 0.393184i) q^{32} +(-2.88621 - 2.75199i) q^{33} +(-4.58452 + 5.29082i) q^{34} +(1.93512 + 4.73301i) q^{35} +(0.738211 - 0.216758i) q^{36} +(-8.71711 - 6.20742i) q^{37} +(-0.149287 - 3.13393i) q^{38} +(-1.70420 + 1.62495i) q^{39} +(-3.11116 + 2.44665i) q^{40} +(2.91207 + 1.32990i) q^{41} +(1.85830 + 3.99154i) q^{42} +(1.00556 - 1.56468i) q^{43} +(-2.89947 - 1.00352i) q^{44} +(-0.966328 + 1.67373i) q^{45} +(-7.98048 - 0.0871048i) q^{46} +(-5.05862 + 2.92060i) q^{47} +(-3.73855 + 3.23947i) q^{48} +(-5.83275 + 3.87027i) q^{49} +(0.299556 - 2.08346i) q^{50} +(-0.399884 - 4.18777i) q^{51} +(-0.673332 + 1.68190i) q^{52} +(-2.03715 - 2.13651i) q^{53} +(-0.762555 + 1.47915i) q^{54} +(7.01081 - 3.20173i) q^{55} +(-4.12076 - 3.51819i) q^{56} +(1.42485 + 1.23464i) q^{57} +(-17.2196 - 3.31881i) q^{58} +(10.2462 + 2.48569i) q^{59} +(-0.141342 + 1.48020i) q^{60} +(3.70983 + 1.91255i) q^{61} +(-3.37805 + 11.5046i) q^{62} +(-2.50650 - 0.847020i) q^{63} +(1.25047 - 2.73814i) q^{64} +(-1.69139 - 4.22490i) q^{65} +(5.89876 - 3.04102i) q^{66} +(-1.43091 - 7.42429i) q^{67} +(-1.61831 - 2.80300i) q^{68} +(3.34719 - 3.43458i) q^{69} +(-8.49648 + 0.467082i) q^{70} +(-4.63339 - 5.34722i) q^{71} +(0.0974447 - 2.04562i) q^{72} +(-4.96191 + 6.30958i) q^{73} +(14.5065 - 10.3300i) q^{74} +(0.781875 + 0.994235i) q^{75} +(1.39178 + 0.408663i) q^{76} +(6.18297 + 8.54964i) q^{77} +(-1.62785 - 3.56450i) q^{78} +(1.71207 - 1.79556i) q^{79} +(-3.12693 - 9.03466i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-3.67642 + 3.85572i) q^{82} +(-0.835020 - 1.82844i) q^{83} +(-2.02489 + 0.208318i) q^{84} +(7.80100 + 2.29058i) q^{85} +(1.91334 + 2.43300i) q^{86} +(8.58388 - 6.11255i) q^{87} +(-5.04853 + 6.41973i) q^{88} +(0.785355 - 16.4866i) q^{89} +(-2.10617 - 2.43065i) q^{90} +(5.21625 - 3.40648i) q^{91} +(1.24480 - 3.47348i) q^{92} +(-3.60253 - 6.23977i) q^{93} +(-1.83963 - 9.54493i) q^{94} +(-3.23866 + 1.66965i) q^{95} +(-1.53732 - 3.84004i) q^{96} +(-4.00170 + 8.76249i) q^{97} +(-2.91176 - 11.2792i) q^{98} +(-1.12353 + 3.82640i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.544288 + 1.57262i −0.384870 + 1.11201i 0.571689 + 0.820470i \(0.306288\pi\)
−0.956559 + 0.291538i \(0.905833\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) −0.604770 0.475596i −0.302385 0.237798i
\(5\) 1.92390 0.183711i 0.860396 0.0821579i 0.344476 0.938795i \(-0.388056\pi\)
0.515919 + 0.856637i \(0.327450\pi\)
\(6\) 1.64721 0.236832i 0.672469 0.0966864i
\(7\) 0.763953 + 2.53306i 0.288747 + 0.957405i
\(8\) −1.72283 + 1.10720i −0.609114 + 0.391454i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.758252 + 3.12556i −0.239780 + 0.988388i
\(11\) 3.76860 1.30433i 1.13628 0.393269i 0.306780 0.951780i \(-0.400748\pi\)
0.829497 + 0.558511i \(0.188627\pi\)
\(12\) −0.145605 + 0.755472i −0.0420326 + 0.218086i
\(13\) −0.663405 2.25935i −0.183996 0.626631i −0.998894 0.0470270i \(-0.985025\pi\)
0.814898 0.579604i \(-0.196793\pi\)
\(14\) −4.39934 0.177308i −1.17577 0.0473875i
\(15\) −1.04487 1.62585i −0.269785 0.419793i
\(16\) −1.16626 4.80737i −0.291564 1.20184i
\(17\) 3.90548 + 1.56352i 0.947217 + 0.379209i 0.793270 0.608870i \(-0.208377\pi\)
0.153948 + 0.988079i \(0.450801\pi\)
\(18\) −0.965298 1.35557i −0.227523 0.319511i
\(19\) −1.75029 + 0.700711i −0.401544 + 0.160754i −0.563639 0.826021i \(-0.690599\pi\)
0.162095 + 0.986775i \(0.448175\pi\)
\(20\) −1.25089 0.803899i −0.279708 0.179757i
\(21\) 1.90141 1.83974i 0.414921 0.401465i
\(22\) 6.63650i 1.41491i
\(23\) 1.51901 + 4.54891i 0.316735 + 0.948514i
\(24\) 1.77356 + 1.02397i 0.362027 + 0.209017i
\(25\) −1.24199 + 0.239373i −0.248397 + 0.0478747i
\(26\) 3.91418 + 0.186455i 0.767634 + 0.0365669i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 0.742697 1.89525i 0.140357 0.358169i
\(29\) 1.49969 + 10.4306i 0.278486 + 1.93691i 0.343789 + 0.939047i \(0.388290\pi\)
−0.0653026 + 0.997866i \(0.520801\pi\)
\(30\) 3.12556 0.758252i 0.570646 0.138437i
\(31\) 7.19690 0.342831i 1.29260 0.0615742i 0.610022 0.792385i \(-0.291161\pi\)
0.682580 + 0.730810i \(0.260858\pi\)
\(32\) 4.11761 + 0.393184i 0.727897 + 0.0695057i
\(33\) −2.88621 2.75199i −0.502424 0.479060i
\(34\) −4.58452 + 5.29082i −0.786239 + 0.907368i
\(35\) 1.93512 + 4.73301i 0.327095 + 0.800025i
\(36\) 0.738211 0.216758i 0.123035 0.0361264i
\(37\) −8.71711 6.20742i −1.43308 1.02049i −0.992429 0.122817i \(-0.960807\pi\)
−0.440654 0.897677i \(-0.645253\pi\)
\(38\) −0.149287 3.13393i −0.0242176 0.508390i
\(39\) −1.70420 + 1.62495i −0.272891 + 0.260201i
\(40\) −3.11116 + 2.44665i −0.491918 + 0.386849i
\(41\) 2.91207 + 1.32990i 0.454788 + 0.207695i 0.629620 0.776904i \(-0.283211\pi\)
−0.174831 + 0.984598i \(0.555938\pi\)
\(42\) 1.85830 + 3.99154i 0.286741 + 0.615907i
\(43\) 1.00556 1.56468i 0.153347 0.238612i −0.756077 0.654482i \(-0.772887\pi\)
0.909424 + 0.415870i \(0.136523\pi\)
\(44\) −2.89947 1.00352i −0.437112 0.151286i
\(45\) −0.966328 + 1.67373i −0.144052 + 0.249505i
\(46\) −7.98048 0.0871048i −1.17666 0.0128429i
\(47\) −5.05862 + 2.92060i −0.737876 + 0.426013i −0.821297 0.570502i \(-0.806749\pi\)
0.0834205 + 0.996514i \(0.473416\pi\)
\(48\) −3.73855 + 3.23947i −0.539613 + 0.467578i
\(49\) −5.83275 + 3.87027i −0.833250 + 0.552896i
\(50\) 0.299556 2.08346i 0.0423636 0.294646i
\(51\) −0.399884 4.18777i −0.0559949 0.586405i
\(52\) −0.673332 + 1.68190i −0.0933743 + 0.233238i
\(53\) −2.03715 2.13651i −0.279825 0.293472i 0.568790 0.822482i \(-0.307412\pi\)
−0.848615 + 0.529011i \(0.822563\pi\)
\(54\) −0.762555 + 1.47915i −0.103771 + 0.201287i
\(55\) 7.01081 3.20173i 0.945338 0.431721i
\(56\) −4.12076 3.51819i −0.550660 0.470138i
\(57\) 1.42485 + 1.23464i 0.188726 + 0.163532i
\(58\) −17.2196 3.31881i −2.26104 0.435781i
\(59\) 10.2462 + 2.48569i 1.33394 + 0.323610i 0.838437 0.544998i \(-0.183470\pi\)
0.495500 + 0.868608i \(0.334985\pi\)
\(60\) −0.141342 + 1.48020i −0.0182472 + 0.191094i
\(61\) 3.70983 + 1.91255i 0.474996 + 0.244877i 0.679064 0.734079i \(-0.262386\pi\)
−0.204068 + 0.978957i \(0.565416\pi\)
\(62\) −3.37805 + 11.5046i −0.429013 + 1.46108i
\(63\) −2.50650 0.847020i −0.315790 0.106714i
\(64\) 1.25047 2.73814i 0.156308 0.342268i
\(65\) −1.69139 4.22490i −0.209792 0.524034i
\(66\) 5.89876 3.04102i 0.726087 0.374324i
\(67\) −1.43091 7.42429i −0.174814 0.907022i −0.958333 0.285654i \(-0.907789\pi\)
0.783519 0.621368i \(-0.213423\pi\)
\(68\) −1.61831 2.80300i −0.196249 0.339914i
\(69\) 3.34719 3.43458i 0.402954 0.413475i
\(70\) −8.49648 + 0.467082i −1.01552 + 0.0558270i
\(71\) −4.63339 5.34722i −0.549883 0.634598i 0.410973 0.911647i \(-0.365189\pi\)
−0.960856 + 0.277049i \(0.910644\pi\)
\(72\) 0.0974447 2.04562i 0.0114840 0.241078i
\(73\) −4.96191 + 6.30958i −0.580748 + 0.738481i −0.984305 0.176473i \(-0.943531\pi\)
0.403558 + 0.914954i \(0.367774\pi\)
\(74\) 14.5065 10.3300i 1.68635 1.20084i
\(75\) 0.781875 + 0.994235i 0.0902831 + 0.114804i
\(76\) 1.39178 + 0.408663i 0.159648 + 0.0468769i
\(77\) 6.18297 + 8.54964i 0.704615 + 0.974322i
\(78\) −1.62785 3.56450i −0.184318 0.403600i
\(79\) 1.71207 1.79556i 0.192623 0.202017i −0.620339 0.784334i \(-0.713005\pi\)
0.812962 + 0.582317i \(0.197854\pi\)
\(80\) −3.12693 9.03466i −0.349601 1.01011i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) −3.67642 + 3.85572i −0.405993 + 0.425793i
\(83\) −0.835020 1.82844i −0.0916553 0.200697i 0.858252 0.513228i \(-0.171551\pi\)
−0.949908 + 0.312531i \(0.898823\pi\)
\(84\) −2.02489 + 0.208318i −0.220934 + 0.0227294i
\(85\) 7.80100 + 2.29058i 0.846137 + 0.248448i
\(86\) 1.91334 + 2.43300i 0.206320 + 0.262358i
\(87\) 8.58388 6.11255i 0.920289 0.655335i
\(88\) −5.04853 + 6.41973i −0.538175 + 0.684345i
\(89\) 0.785355 16.4866i 0.0832475 1.74758i −0.442347 0.896844i \(-0.645854\pi\)
0.525594 0.850735i \(-0.323843\pi\)
\(90\) −2.10617 2.43065i −0.222010 0.256213i
\(91\) 5.21625 3.40648i 0.546812 0.357096i
\(92\) 1.24480 3.47348i 0.129779 0.362135i
\(93\) −3.60253 6.23977i −0.373565 0.647034i
\(94\) −1.83963 9.54493i −0.189744 0.984484i
\(95\) −3.23866 + 1.66965i −0.332280 + 0.171302i
\(96\) −1.53732 3.84004i −0.156902 0.391923i
\(97\) −4.00170 + 8.76249i −0.406311 + 0.889696i 0.590280 + 0.807198i \(0.299017\pi\)
−0.996591 + 0.0824982i \(0.973710\pi\)
\(98\) −2.91176 11.2792i −0.294132 1.13937i
\(99\) −1.12353 + 3.82640i −0.112919 + 0.384567i
\(100\) 0.864962 + 0.445919i 0.0864962 + 0.0445919i
\(101\) 1.34961 14.1338i 0.134291 1.40636i −0.637483 0.770465i \(-0.720024\pi\)
0.771774 0.635897i \(-0.219370\pi\)
\(102\) 6.80342 + 1.65049i 0.673639 + 0.163423i
\(103\) 8.82255 + 1.70041i 0.869312 + 0.167546i 0.604356 0.796714i \(-0.293430\pi\)
0.264956 + 0.964261i \(0.414643\pi\)
\(104\) 3.64449 + 3.15797i 0.357371 + 0.309664i
\(105\) 3.32014 3.88880i 0.324013 0.379508i
\(106\) 4.46870 2.04079i 0.434039 0.198219i
\(107\) 7.50860 14.5646i 0.725883 1.40802i −0.179645 0.983732i \(-0.557495\pi\)
0.905528 0.424286i \(-0.139475\pi\)
\(108\) −0.530930 0.556823i −0.0510888 0.0535803i
\(109\) 2.88393 7.20372i 0.276231 0.689991i −0.723769 0.690042i \(-0.757592\pi\)
1.00000 5.09447e-5i \(1.62162e-5\pi\)
\(110\) 1.21920 + 12.7680i 0.116246 + 1.21738i
\(111\) −1.52297 + 10.5925i −0.144554 + 1.00539i
\(112\) 11.2864 6.62679i 1.06646 0.626173i
\(113\) 0.285251 0.247172i 0.0268342 0.0232520i −0.641340 0.767256i \(-0.721621\pi\)
0.668175 + 0.744004i \(0.267076\pi\)
\(114\) −2.71714 + 1.56874i −0.254483 + 0.146926i
\(115\) 3.75811 + 8.47262i 0.350445 + 0.790076i
\(116\) 4.05378 7.02136i 0.376384 0.651917i
\(117\) 2.22523 + 0.770158i 0.205722 + 0.0712012i
\(118\) −9.48591 + 14.7604i −0.873249 + 1.35880i
\(119\) −0.976879 + 11.0872i −0.0895503 + 1.01637i
\(120\) 3.60028 + 1.64419i 0.328659 + 0.150094i
\(121\) 3.85452 3.03123i 0.350411 0.275566i
\(122\) −5.02693 + 4.79317i −0.455117 + 0.433953i
\(123\) −0.152327 3.19774i −0.0137349 0.288331i
\(124\) −4.51552 3.21549i −0.405506 0.288759i
\(125\) −11.6173 + 3.41116i −1.03909 + 0.305103i
\(126\) 2.69630 3.48075i 0.240205 0.310090i
\(127\) −6.52796 + 7.53367i −0.579263 + 0.668505i −0.967446 0.253077i \(-0.918557\pi\)
0.388183 + 0.921582i \(0.373103\pi\)
\(128\) 9.61265 + 9.16564i 0.849646 + 0.810136i
\(129\) −1.85152 0.176799i −0.163017 0.0155663i
\(130\) 7.56476 0.360354i 0.663473 0.0316051i
\(131\) −3.01810 + 0.732183i −0.263693 + 0.0639711i −0.365425 0.930841i \(-0.619076\pi\)
0.101733 + 0.994812i \(0.467561\pi\)
\(132\) 0.436653 + 3.03699i 0.0380058 + 0.264336i
\(133\) −3.11208 3.89828i −0.269852 0.338023i
\(134\) 12.4544 + 1.79067i 1.07590 + 0.154691i
\(135\) 1.93047 + 0.0919594i 0.166148 + 0.00791461i
\(136\) −8.45961 + 1.63046i −0.725406 + 0.139810i
\(137\) −5.58047 3.22189i −0.476772 0.275264i 0.242298 0.970202i \(-0.422099\pi\)
−0.719070 + 0.694937i \(0.755432\pi\)
\(138\) 3.57945 + 7.13325i 0.304703 + 0.607222i
\(139\) 17.6033i 1.49309i −0.665334 0.746546i \(-0.731711\pi\)
0.665334 0.746546i \(-0.268289\pi\)
\(140\) 1.08070 3.78272i 0.0913359 0.319698i
\(141\) 4.91393 + 3.15799i 0.413827 + 0.265951i
\(142\) 10.9310 4.37613i 0.917312 0.367236i
\(143\) −5.44704 7.64930i −0.455505 0.639667i
\(144\) 4.59246 + 1.83854i 0.382705 + 0.153212i
\(145\) 4.80147 + 19.7919i 0.398741 + 1.64363i
\(146\) −7.22185 11.2374i −0.597685 0.930016i
\(147\) 6.11276 + 3.41090i 0.504172 + 0.281326i
\(148\) 2.31962 + 7.89989i 0.190671 + 0.649367i
\(149\) −2.90725 + 15.0842i −0.238171 + 1.23575i 0.644076 + 0.764961i \(0.277242\pi\)
−0.882247 + 0.470787i \(0.843970\pi\)
\(150\) −1.98912 + 0.688440i −0.162411 + 0.0562109i
\(151\) 4.89980 20.1973i 0.398740 1.64363i −0.319318 0.947648i \(-0.603454\pi\)
0.718058 0.695983i \(-0.245031\pi\)
\(152\) 2.23963 3.14513i 0.181658 0.255103i
\(153\) −3.53900 + 2.27438i −0.286111 + 0.183873i
\(154\) −16.8106 + 5.06997i −1.35464 + 0.408550i
\(155\) 13.7832 1.98172i 1.10709 0.159176i
\(156\) 1.80347 0.172211i 0.144393 0.0137879i
\(157\) −4.28950 3.37330i −0.342340 0.269219i 0.432155 0.901799i \(-0.357753\pi\)
−0.774495 + 0.632580i \(0.781996\pi\)
\(158\) 1.89188 + 3.66973i 0.150510 + 0.291948i
\(159\) −0.965524 + 2.78970i −0.0765710 + 0.221237i
\(160\) 7.99411 0.631990
\(161\) −10.3622 + 7.32288i −0.816657 + 0.577124i
\(162\) 1.66414 0.130748
\(163\) 6.27770 18.1382i 0.491707 1.42069i −0.377390 0.926054i \(-0.623178\pi\)
0.869098 0.494641i \(-0.164700\pi\)
\(164\) −1.12864 2.18925i −0.0881317 0.170952i
\(165\) −6.05835 4.76434i −0.471642 0.370903i
\(166\) 3.32993 0.317969i 0.258452 0.0246792i
\(167\) 9.01401 1.29602i 0.697525 0.100289i 0.215574 0.976487i \(-0.430838\pi\)
0.481950 + 0.876198i \(0.339929\pi\)
\(168\) −1.23885 + 5.27480i −0.0955794 + 0.406960i
\(169\) 6.27173 4.03060i 0.482441 0.310046i
\(170\) −7.84820 + 11.0213i −0.601929 + 0.845291i
\(171\) 0.444486 1.83220i 0.0339907 0.140112i
\(172\) −1.35229 + 0.468033i −0.103111 + 0.0356872i
\(173\) 2.21154 11.4746i 0.168140 0.872396i −0.795654 0.605751i \(-0.792873\pi\)
0.963795 0.266645i \(-0.0859150\pi\)
\(174\) 4.94060 + 16.8262i 0.374546 + 1.27559i
\(175\) −1.55517 2.96315i −0.117559 0.223993i
\(176\) −10.6655 16.5959i −0.803945 1.25096i
\(177\) −2.48569 10.2462i −0.186836 0.770149i
\(178\) 25.4997 + 10.2085i 1.91128 + 0.765163i
\(179\) −10.2596 14.4075i −0.766835 1.07687i −0.994664 0.103168i \(-0.967102\pi\)
0.227829 0.973701i \(-0.426837\pi\)
\(180\) 1.38043 0.552639i 0.102891 0.0411913i
\(181\) −14.6044 9.38566i −1.08553 0.697631i −0.129705 0.991553i \(-0.541403\pi\)
−0.955829 + 0.293922i \(0.905039\pi\)
\(182\) 2.51795 + 10.0573i 0.186643 + 0.745495i
\(183\) 4.17381i 0.308537i
\(184\) −7.65354 6.15518i −0.564227 0.453766i
\(185\) −17.9112 10.3411i −1.31686 0.760290i
\(186\) 11.7736 2.26917i 0.863281 0.166384i
\(187\) 16.7575 + 0.798260i 1.22543 + 0.0583745i
\(188\) 4.44833 + 0.639573i 0.324428 + 0.0466457i
\(189\) 0.395685 + 2.61600i 0.0287819 + 0.190286i
\(190\) −0.862950 6.00195i −0.0626050 0.435427i
\(191\) 6.55783 1.59091i 0.474508 0.115114i 0.00862896 0.999963i \(-0.497253\pi\)
0.465879 + 0.884848i \(0.345738\pi\)
\(192\) −3.00676 + 0.143229i −0.216994 + 0.0103367i
\(193\) −11.7965 1.12643i −0.849134 0.0810824i −0.338590 0.940934i \(-0.609950\pi\)
−0.510544 + 0.859852i \(0.670556\pi\)
\(194\) −11.6020 11.0625i −0.832973 0.794238i
\(195\) −2.98020 + 3.43933i −0.213416 + 0.246296i
\(196\) 5.36816 + 0.433413i 0.383440 + 0.0309581i
\(197\) −17.3096 + 5.08257i −1.23326 + 0.362118i −0.832480 0.554056i \(-0.813079\pi\)
−0.400781 + 0.916174i \(0.631261\pi\)
\(198\) −5.40593 3.84955i −0.384183 0.273576i
\(199\) 0.864531 + 18.1487i 0.0612850 + 1.28653i 0.794806 + 0.606863i \(0.207572\pi\)
−0.733521 + 0.679667i \(0.762125\pi\)
\(200\) 1.87470 1.78753i 0.132562 0.126397i
\(201\) −5.94329 + 4.67386i −0.419207 + 0.329668i
\(202\) 21.4924 + 9.81526i 1.51220 + 0.690599i
\(203\) −25.2756 + 11.7673i −1.77400 + 0.825902i
\(204\) −1.74985 + 2.72282i −0.122514 + 0.190636i
\(205\) 5.84685 + 2.02361i 0.408362 + 0.141335i
\(206\) −7.47610 + 12.9490i −0.520885 + 0.902199i
\(207\) −4.58655 1.40128i −0.318787 0.0973959i
\(208\) −10.0878 + 5.82421i −0.699466 + 0.403837i
\(209\) −5.68220 + 4.92365i −0.393046 + 0.340576i
\(210\) 4.30847 + 7.33794i 0.297313 + 0.506366i
\(211\) −1.26905 + 8.82641i −0.0873648 + 0.607635i 0.898359 + 0.439263i \(0.144760\pi\)
−0.985723 + 0.168373i \(0.946149\pi\)
\(212\) 0.215895 + 2.26096i 0.0148277 + 0.155283i
\(213\) −2.62966 + 6.56856i −0.180181 + 0.450070i
\(214\) 18.8178 + 19.7355i 1.28636 + 1.34909i
\(215\) 1.64716 3.19504i 0.112335 0.217900i
\(216\) −1.86287 + 0.850743i −0.126752 + 0.0578858i
\(217\) 6.36650 + 17.9683i 0.432186 + 1.21976i
\(218\) 9.75900 + 8.45623i 0.660963 + 0.572728i
\(219\) 7.88186 + 1.51910i 0.532607 + 0.102652i
\(220\) −5.76266 1.39801i −0.388519 0.0942536i
\(221\) 0.941620 9.86109i 0.0633402 0.663329i
\(222\) −15.8290 8.16041i −1.06237 0.547691i
\(223\) −2.88043 + 9.80984i −0.192888 + 0.656915i 0.805078 + 0.593168i \(0.202123\pi\)
−0.997966 + 0.0637468i \(0.979695\pi\)
\(224\) 2.14970 + 10.7305i 0.143633 + 0.716962i
\(225\) 0.525435 1.15054i 0.0350290 0.0767029i
\(226\) 0.233448 + 0.583124i 0.0155287 + 0.0387888i
\(227\) 14.9437 7.70402i 0.991849 0.511334i 0.115653 0.993290i \(-0.463104\pi\)
0.876195 + 0.481956i \(0.160073\pi\)
\(228\) −0.274516 1.42432i −0.0181803 0.0943281i
\(229\) −5.68935 9.85424i −0.375963 0.651187i 0.614508 0.788911i \(-0.289355\pi\)
−0.990471 + 0.137724i \(0.956021\pi\)
\(230\) −15.3697 + 1.29852i −1.01345 + 0.0856217i
\(231\) 4.76603 9.41331i 0.313582 0.619351i
\(232\) −14.1325 16.3097i −0.927841 1.07079i
\(233\) −0.457318 + 9.60028i −0.0299599 + 0.628935i 0.933095 + 0.359630i \(0.117097\pi\)
−0.963055 + 0.269305i \(0.913206\pi\)
\(234\) −2.42233 + 3.08024i −0.158353 + 0.201362i
\(235\) −9.19576 + 6.54827i −0.599865 + 0.427162i
\(236\) −5.01439 6.37631i −0.326409 0.415063i
\(237\) −2.38048 0.698971i −0.154629 0.0454030i
\(238\) −16.9043 7.57092i −1.09574 0.490750i
\(239\) 3.12781 + 6.84894i 0.202321 + 0.443021i 0.983410 0.181399i \(-0.0580626\pi\)
−0.781089 + 0.624420i \(0.785335\pi\)
\(240\) −6.59749 + 6.91925i −0.425866 + 0.446635i
\(241\) 0.286743 + 0.828488i 0.0184707 + 0.0533676i 0.953859 0.300254i \(-0.0970714\pi\)
−0.935389 + 0.353621i \(0.884950\pi\)
\(242\) 2.66899 + 7.71155i 0.171569 + 0.495717i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) −1.33399 2.92104i −0.0854002 0.187000i
\(245\) −10.5106 + 8.51757i −0.671501 + 0.544167i
\(246\) 5.11173 + 1.50094i 0.325912 + 0.0956965i
\(247\) 2.74430 + 3.48967i 0.174616 + 0.222042i
\(248\) −12.0195 + 8.55904i −0.763238 + 0.543499i
\(249\) −1.24255 + 1.58003i −0.0787436 + 0.100131i
\(250\) 0.958733 20.1263i 0.0606356 1.27290i
\(251\) 12.3608 + 14.2651i 0.780204 + 0.900404i 0.997124 0.0757856i \(-0.0241464\pi\)
−0.216920 + 0.976189i \(0.569601\pi\)
\(252\) 1.11302 + 1.70434i 0.0701136 + 0.107363i
\(253\) 11.6578 + 15.1618i 0.732920 + 0.953213i
\(254\) −8.29449 14.3665i −0.520442 0.901433i
\(255\) −1.53868 7.98341i −0.0963556 0.499940i
\(256\) −14.2950 + 7.36960i −0.893439 + 0.460600i
\(257\) 11.3003 + 28.2269i 0.704896 + 1.76075i 0.647085 + 0.762418i \(0.275988\pi\)
0.0578115 + 0.998328i \(0.481588\pi\)
\(258\) 1.28580 2.81551i 0.0800503 0.175286i
\(259\) 9.06430 26.8231i 0.563228 1.66671i
\(260\) −0.986442 + 3.35951i −0.0611766 + 0.208348i
\(261\) −9.36642 4.82872i −0.579767 0.298891i
\(262\) 0.491272 5.14483i 0.0303509 0.317849i
\(263\) −0.138848 0.0336842i −0.00856174 0.00207706i 0.231476 0.972841i \(-0.425645\pi\)
−0.240038 + 0.970764i \(0.577160\pi\)
\(264\) 8.01945 + 1.54562i 0.493563 + 0.0951265i
\(265\) −4.31179 3.73618i −0.264871 0.229512i
\(266\) 7.82437 2.77232i 0.479743 0.169982i
\(267\) −15.0138 + 6.85656i −0.918828 + 0.419615i
\(268\) −2.66559 + 5.17053i −0.162827 + 0.315840i
\(269\) −18.2702 19.1612i −1.11395 1.16828i −0.984260 0.176724i \(-0.943450\pi\)
−0.129691 0.991554i \(-0.541398\pi\)
\(270\) −1.19535 + 2.98583i −0.0727465 + 0.181712i
\(271\) 0.126246 + 1.32211i 0.00766888 + 0.0803122i 0.998496 0.0548226i \(-0.0174593\pi\)
−0.990827 + 0.135135i \(0.956853\pi\)
\(272\) 2.96162 20.5985i 0.179575 1.24897i
\(273\) −5.41803 3.07545i −0.327914 0.186135i
\(274\) 8.10418 7.02231i 0.489591 0.424233i
\(275\) −4.36834 + 2.52206i −0.263421 + 0.152086i
\(276\) −3.65775 + 0.485221i −0.220171 + 0.0292068i
\(277\) −14.4497 + 25.0276i −0.868198 + 1.50376i −0.00436197 + 0.999990i \(0.501388\pi\)
−0.863836 + 0.503773i \(0.831945\pi\)
\(278\) 27.6833 + 9.58127i 1.66033 + 0.574646i
\(279\) −3.89535 + 6.06129i −0.233209 + 0.362880i
\(280\) −8.57427 6.01163i −0.512411 0.359264i
\(281\) 7.05050 + 3.21985i 0.420597 + 0.192080i 0.614459 0.788948i \(-0.289374\pi\)
−0.193862 + 0.981029i \(0.562101\pi\)
\(282\) −7.64090 + 6.00887i −0.455009 + 0.357823i
\(283\) −1.74529 + 1.66414i −0.103747 + 0.0989226i −0.740178 0.672411i \(-0.765259\pi\)
0.636431 + 0.771334i \(0.280410\pi\)
\(284\) 0.259018 + 5.43746i 0.0153699 + 0.322654i
\(285\) 2.96808 + 2.11356i 0.175814 + 0.125197i
\(286\) 14.9942 4.40269i 0.886625 0.260337i
\(287\) −1.14402 + 8.39241i −0.0675295 + 0.495388i
\(288\) −2.70872 + 3.12603i −0.159613 + 0.184203i
\(289\) 0.504689 + 0.481220i 0.0296876 + 0.0283070i
\(290\) −33.7386 3.22164i −1.98120 0.189181i
\(291\) 9.62210 0.458357i 0.564057 0.0268694i
\(292\) 6.00163 1.45598i 0.351219 0.0852048i
\(293\) 2.83066 + 19.6877i 0.165369 + 1.15017i 0.888306 + 0.459253i \(0.151883\pi\)
−0.722936 + 0.690915i \(0.757208\pi\)
\(294\) −8.69114 + 7.75652i −0.506877 + 0.452369i
\(295\) 20.1693 + 2.89991i 1.17430 + 0.168839i
\(296\) 21.8910 + 1.04280i 1.27239 + 0.0606113i
\(297\) 3.91587 0.754722i 0.227222 0.0437934i
\(298\) −22.1393 12.7822i −1.28250 0.740450i
\(299\) 9.26988 6.44974i 0.536091 0.372998i
\(300\) 0.973140i 0.0561843i
\(301\) 4.73164 + 1.35180i 0.272727 + 0.0779165i
\(302\) 29.0957 + 18.6987i 1.67427 + 1.07599i
\(303\) −13.1810 + 5.27688i −0.757230 + 0.303149i
\(304\) 5.40986 + 7.59709i 0.310277 + 0.435723i
\(305\) 7.48872 + 2.99803i 0.428803 + 0.171667i
\(306\) −1.65049 6.80342i −0.0943523 0.388925i
\(307\) 0.616398 + 0.959133i 0.0351797 + 0.0547406i 0.858398 0.512984i \(-0.171460\pi\)
−0.823218 + 0.567725i \(0.807824\pi\)
\(308\) 0.326907 8.11117i 0.0186272 0.462177i
\(309\) −2.53134 8.62097i −0.144003 0.490430i
\(310\) −4.38553 + 22.7543i −0.249081 + 1.29236i
\(311\) −2.16422 + 0.749043i −0.122721 + 0.0424743i −0.387738 0.921769i \(-0.626744\pi\)
0.265017 + 0.964244i \(0.414622\pi\)
\(312\) 1.13691 4.68641i 0.0643649 0.265316i
\(313\) 4.21490 5.91901i 0.238240 0.334562i −0.678094 0.734975i \(-0.737194\pi\)
0.916335 + 0.400413i \(0.131133\pi\)
\(314\) 7.63964 4.90970i 0.431130 0.277070i
\(315\) −4.97788 1.16911i −0.280472 0.0658721i
\(316\) −1.88937 + 0.271651i −0.106285 + 0.0152815i
\(317\) 9.40881 0.898433i 0.528452 0.0504610i 0.172579 0.984996i \(-0.444790\pi\)
0.355872 + 0.934535i \(0.384184\pi\)
\(318\) −3.86160 3.03680i −0.216548 0.170295i
\(319\) 19.2566 + 37.3527i 1.07817 + 2.09135i
\(320\) 1.90275 5.49765i 0.106367 0.307328i
\(321\) −16.3862 −0.914589
\(322\) −5.87607 20.2816i −0.327460 1.13025i
\(323\) −7.93130 −0.441309
\(324\) −0.251638 + 0.727061i −0.0139799 + 0.0403923i
\(325\) 1.36477 + 2.64728i 0.0757038 + 0.146845i
\(326\) 25.1076 + 19.7448i 1.39058 + 1.09357i
\(327\) −7.72442 + 0.737592i −0.427161 + 0.0407889i
\(328\) −6.48946 + 0.933044i −0.358321 + 0.0515187i
\(329\) −11.2626 10.5826i −0.620927 0.583437i
\(330\) 10.7900 6.93430i 0.593969 0.381720i
\(331\) 8.31502 11.6768i 0.457035 0.641816i −0.520183 0.854055i \(-0.674136\pi\)
0.977218 + 0.212239i \(0.0680756\pi\)
\(332\) −0.364604 + 1.50292i −0.0200102 + 0.0824833i
\(333\) 10.1128 3.50009i 0.554180 0.191804i
\(334\) −2.86808 + 14.8810i −0.156934 + 0.814252i
\(335\) −4.11686 14.0207i −0.224928 0.766035i
\(336\) −11.0618 6.99516i −0.603473 0.381617i
\(337\) −11.7766 18.3248i −0.641513 0.998214i −0.997956 0.0638973i \(-0.979647\pi\)
0.356443 0.934317i \(-0.383989\pi\)
\(338\) 2.92496 + 12.0568i 0.159097 + 0.655806i
\(339\) −0.350405 0.140281i −0.0190314 0.00761901i
\(340\) −3.62842 5.09540i −0.196779 0.276337i
\(341\) 26.6751 10.6791i 1.44454 0.578306i
\(342\) 2.63942 + 1.69625i 0.142723 + 0.0917227i
\(343\) −14.2596 11.8180i −0.769944 0.638112i
\(344\) 3.80905i 0.205370i
\(345\) 5.80870 7.22271i 0.312730 0.388858i
\(346\) 16.8414 + 9.72339i 0.905399 + 0.522732i
\(347\) −13.7539 + 2.65084i −0.738346 + 0.142305i −0.544540 0.838735i \(-0.683296\pi\)
−0.193807 + 0.981040i \(0.562083\pi\)
\(348\) −8.09838 0.385774i −0.434119 0.0206796i
\(349\) 23.4218 + 3.36755i 1.25374 + 0.180261i 0.737007 0.675885i \(-0.236238\pi\)
0.516735 + 0.856146i \(0.327147\pi\)
\(350\) 5.50637 0.832871i 0.294328 0.0445188i
\(351\) −0.335114 2.33077i −0.0178870 0.124407i
\(352\) 16.0305 3.88895i 0.854427 0.207282i
\(353\) −12.4123 + 0.591269i −0.660638 + 0.0314701i −0.375224 0.926934i \(-0.622434\pi\)
−0.285414 + 0.958404i \(0.592131\pi\)
\(354\) 17.4662 + 1.66782i 0.928320 + 0.0886438i
\(355\) −9.89654 9.43633i −0.525254 0.500829i
\(356\) −8.31594 + 9.59711i −0.440744 + 0.508646i
\(357\) 10.3024 4.21219i 0.545259 0.222933i
\(358\) 28.2417 8.29251i 1.49262 0.438273i
\(359\) −16.7050 11.8956i −0.881654 0.627823i 0.0469489 0.998897i \(-0.485050\pi\)
−0.928603 + 0.371074i \(0.878990\pi\)
\(360\) −0.188327 3.95347i −0.00992571 0.208366i
\(361\) −11.1784 + 10.6586i −0.588338 + 0.560979i
\(362\) 22.7090 17.8586i 1.19356 0.938627i
\(363\) −4.46051 2.03705i −0.234116 0.106917i
\(364\) −4.77474 0.420695i −0.250265 0.0220504i
\(365\) −8.38710 + 13.0506i −0.439001 + 0.683099i
\(366\) 6.56381 + 2.27176i 0.343096 + 0.118747i
\(367\) −1.43624 + 2.48764i −0.0749712 + 0.129854i −0.901074 0.433666i \(-0.857220\pi\)
0.826103 + 0.563520i \(0.190553\pi\)
\(368\) 20.0968 12.6076i 1.04762 0.657218i
\(369\) −2.77247 + 1.60068i −0.144329 + 0.0833283i
\(370\) 26.0114 22.5390i 1.35227 1.17175i
\(371\) 3.85560 6.79242i 0.200173 0.352645i
\(372\) −0.788908 + 5.48698i −0.0409030 + 0.284487i
\(373\) −1.43670 15.0458i −0.0743893 0.779040i −0.953294 0.302043i \(-0.902331\pi\)
0.878905 0.476997i \(-0.158275\pi\)
\(374\) −10.3763 + 25.9187i −0.536545 + 1.34022i
\(375\) 8.35533 + 8.76281i 0.431467 + 0.452510i
\(376\) 5.48149 10.6326i 0.282686 0.548335i
\(377\) 22.5715 10.3080i 1.16249 0.530891i
\(378\) −4.32933 0.801594i −0.222677 0.0412296i
\(379\) 7.53594 + 6.52993i 0.387095 + 0.335420i 0.826569 0.562836i \(-0.190290\pi\)
−0.439474 + 0.898255i \(0.644835\pi\)
\(380\) 2.75273 + 0.530544i 0.141212 + 0.0272163i
\(381\) 9.68747 + 2.35016i 0.496304 + 0.120402i
\(382\) −1.06745 + 11.1789i −0.0546157 + 0.571961i
\(383\) 5.61073 + 2.89253i 0.286695 + 0.147802i 0.595576 0.803299i \(-0.296924\pi\)
−0.308880 + 0.951101i \(0.599954\pi\)
\(384\) 3.74198 12.7440i 0.190957 0.650340i
\(385\) 13.4661 + 15.3128i 0.686296 + 0.780413i
\(386\) 8.19217 17.9383i 0.416970 0.913038i
\(387\) 0.691271 + 1.72671i 0.0351393 + 0.0877737i
\(388\) 6.58752 3.39610i 0.334431 0.172411i
\(389\) 2.70350 + 14.0271i 0.137073 + 0.711201i 0.983814 + 0.179195i \(0.0573494\pi\)
−0.846741 + 0.532006i \(0.821439\pi\)
\(390\) −3.78667 6.55870i −0.191745 0.332113i
\(391\) −1.17986 + 20.1407i −0.0596682 + 1.01856i
\(392\) 5.76371 13.1258i 0.291111 0.662955i
\(393\) 2.03376 + 2.34709i 0.102590 + 0.118395i
\(394\) 1.42850 29.9878i 0.0719666 1.51076i
\(395\) 2.96399 3.76902i 0.149134 0.189640i
\(396\) 2.49930 1.77974i 0.125595 0.0894355i
\(397\) 9.62293 + 12.2365i 0.482961 + 0.614135i 0.965075 0.261974i \(-0.0843733\pi\)
−0.482114 + 0.876108i \(0.660131\pi\)
\(398\) −29.0116 8.51857i −1.45422 0.426997i
\(399\) −2.03889 + 4.55242i −0.102072 + 0.227906i
\(400\) 2.59923 + 5.69152i 0.129962 + 0.284576i
\(401\) −9.66328 + 10.1346i −0.482561 + 0.506096i −0.919335 0.393476i \(-0.871273\pi\)
0.436774 + 0.899571i \(0.356121\pi\)
\(402\) −4.11532 11.8904i −0.205254 0.593042i
\(403\) −5.54904 16.0329i −0.276417 0.798656i
\(404\) −7.53817 + 7.90581i −0.375038 + 0.393329i
\(405\) −0.802854 1.75800i −0.0398941 0.0873560i
\(406\) −4.74823 46.1536i −0.235651 2.29057i
\(407\) −40.9478 12.0234i −2.02971 0.595976i
\(408\) 5.32563 + 6.77208i 0.263658 + 0.335268i
\(409\) 18.9744 13.5116i 0.938222 0.668105i −0.00509913 0.999987i \(-0.501623\pi\)
0.943321 + 0.331882i \(0.107684\pi\)
\(410\) −6.36474 + 8.09343i −0.314332 + 0.399706i
\(411\) −0.306607 + 6.43647i −0.0151238 + 0.317488i
\(412\) −4.52691 5.22433i −0.223025 0.257384i
\(413\) 1.53118 + 27.8531i 0.0753446 + 1.37056i
\(414\) 4.70009 6.45018i 0.230997 0.317009i
\(415\) −1.94240 3.36434i −0.0953487 0.165149i
\(416\) −1.84330 9.56396i −0.0903753 0.468912i
\(417\) −15.6464 + 8.06630i −0.766209 + 0.395008i
\(418\) −4.65027 11.6158i −0.227452 0.568148i
\(419\) −12.5185 + 27.4116i −0.611568 + 1.33915i 0.309929 + 0.950760i \(0.399695\pi\)
−0.921496 + 0.388387i \(0.873032\pi\)
\(420\) −3.85742 + 0.772778i −0.188223 + 0.0377077i
\(421\) 1.35106 4.60128i 0.0658465 0.224252i −0.919996 0.391928i \(-0.871808\pi\)
0.985842 + 0.167676i \(0.0536262\pi\)
\(422\) −13.1898 6.79984i −0.642072 0.331011i
\(423\) 0.555241 5.81475i 0.0269967 0.282723i
\(424\) 5.87521 + 1.42531i 0.285326 + 0.0692192i
\(425\) −5.22482 1.00700i −0.253441 0.0488467i
\(426\) −8.89854 7.71063i −0.431136 0.373581i
\(427\) −2.01047 + 10.8583i −0.0972933 + 0.525471i
\(428\) −11.4679 + 5.23720i −0.554320 + 0.253150i
\(429\) −4.30299 + 8.34664i −0.207750 + 0.402980i
\(430\) 4.12804 + 4.32937i 0.199072 + 0.208781i
\(431\) −6.28169 + 15.6909i −0.302578 + 0.755804i 0.696683 + 0.717379i \(0.254658\pi\)
−0.999261 + 0.0384252i \(0.987766\pi\)
\(432\) −0.470224 4.92441i −0.0226237 0.236926i
\(433\) 1.24791 8.67939i 0.0599706 0.417105i −0.937616 0.347672i \(-0.886972\pi\)
0.997587 0.0694323i \(-0.0221188\pi\)
\(434\) −31.7224 + 0.232162i −1.52272 + 0.0111441i
\(435\) 15.3916 13.3369i 0.737972 0.639456i
\(436\) −5.17018 + 2.98501i −0.247607 + 0.142956i
\(437\) −5.84618 6.89754i −0.279661 0.329954i
\(438\) −6.67898 + 11.5683i −0.319134 + 0.552756i
\(439\) −28.0008 9.69119i −1.33641 0.462535i −0.436927 0.899497i \(-0.643933\pi\)
−0.899480 + 0.436962i \(0.856055\pi\)
\(440\) −8.53351 + 13.2784i −0.406819 + 0.633023i
\(441\) 0.230700 6.99620i 0.0109857 0.333152i
\(442\) 14.9952 + 6.84808i 0.713249 + 0.325730i
\(443\) 1.35837 1.06823i 0.0645380 0.0507533i −0.585369 0.810767i \(-0.699050\pi\)
0.649907 + 0.760014i \(0.274808\pi\)
\(444\) 5.95879 5.68170i 0.282792 0.269641i
\(445\) −1.51782 31.8630i −0.0719516 1.51045i
\(446\) −13.8593 9.86919i −0.656259 0.467320i
\(447\) 14.7396 4.32793i 0.697158 0.204704i
\(448\) 7.89117 + 1.07570i 0.372823 + 0.0508218i
\(449\) 2.36957 2.73463i 0.111827 0.129055i −0.697076 0.716997i \(-0.745516\pi\)
0.808903 + 0.587942i \(0.200062\pi\)
\(450\) 1.52338 + 1.45254i 0.0718126 + 0.0684732i
\(451\) 12.7090 + 1.21357i 0.598445 + 0.0571446i
\(452\) −0.290066 + 0.0138175i −0.0136435 + 0.000649922i
\(453\) −20.1973 + 4.89980i −0.948951 + 0.230213i
\(454\) 3.98179 + 27.6939i 0.186875 + 1.29974i
\(455\) 9.40977 7.51202i 0.441137 0.352169i
\(456\) −3.82176 0.549486i −0.178970 0.0257320i
\(457\) 37.9376 + 1.80719i 1.77464 + 0.0845367i 0.909172 0.416420i \(-0.136715\pi\)
0.865472 + 0.500957i \(0.167019\pi\)
\(458\) 18.5936 3.58362i 0.868822 0.167452i
\(459\) 3.64321 + 2.10341i 0.170051 + 0.0981788i
\(460\) 1.75676 6.91133i 0.0819092 0.322242i
\(461\) 15.9728i 0.743929i −0.928247 0.371964i \(-0.878684\pi\)
0.928247 0.371964i \(-0.121316\pi\)
\(462\) 12.2095 + 12.6187i 0.568035 + 0.587075i
\(463\) −19.9457 12.8183i −0.926957 0.595719i −0.0122889 0.999924i \(-0.503912\pi\)
−0.914668 + 0.404205i \(0.867548\pi\)
\(464\) 48.3947 19.3743i 2.24667 0.899430i
\(465\) −8.07724 11.3429i −0.374573 0.526014i
\(466\) −14.8487 5.94451i −0.687851 0.275374i
\(467\) 0.959871 + 3.95664i 0.0444175 + 0.183092i 0.989699 0.143165i \(-0.0457279\pi\)
−0.945281 + 0.326256i \(0.894213\pi\)
\(468\) −0.979466 1.52408i −0.0452758 0.0704505i
\(469\) 17.7130 9.29640i 0.817910 0.429268i
\(470\) −5.29278 18.0256i −0.244138 0.831457i
\(471\) −1.03275 + 5.35840i −0.0475865 + 0.246902i
\(472\) −20.4046 + 7.06210i −0.939198 + 0.325060i
\(473\) 1.74870 7.20826i 0.0804055 0.331436i
\(474\) 2.39488 3.36314i 0.110000 0.154474i
\(475\) 2.00611 1.28925i 0.0920465 0.0591547i
\(476\) 5.86384 6.24064i 0.268769 0.286039i
\(477\) 2.92201 0.420122i 0.133790 0.0192361i
\(478\) −12.4732 + 1.19105i −0.570511 + 0.0544772i
\(479\) 31.0831 + 24.4440i 1.42022 + 1.11688i 0.975192 + 0.221360i \(0.0710494\pi\)
0.445030 + 0.895516i \(0.353193\pi\)
\(480\) −3.66311 7.10545i −0.167197 0.324318i
\(481\) −8.24177 + 23.8130i −0.375793 + 1.08578i
\(482\) −1.45897 −0.0664541
\(483\) 11.2571 + 5.85476i 0.512215 + 0.266401i
\(484\) −3.77274 −0.171488
\(485\) −6.08912 + 17.5934i −0.276493 + 0.798873i
\(486\) −0.762555 1.47915i −0.0345902 0.0670956i
\(487\) −14.5101 11.4108i −0.657513 0.517074i 0.232741 0.972539i \(-0.425231\pi\)
−0.890254 + 0.455465i \(0.849473\pi\)
\(488\) −8.50900 + 0.812511i −0.385184 + 0.0367807i
\(489\) −18.9985 + 2.73157i −0.859142 + 0.123526i
\(490\) −7.67405 21.1652i −0.346678 0.956148i
\(491\) 22.0412 14.1650i 0.994707 0.639259i 0.0613150 0.998118i \(-0.480471\pi\)
0.933392 + 0.358859i \(0.116834\pi\)
\(492\) −1.42871 + 2.00634i −0.0644113 + 0.0904530i
\(493\) −10.4514 + 43.0812i −0.470707 + 1.94028i
\(494\) −6.98160 + 2.41636i −0.314117 + 0.108717i
\(495\) −1.45862 + 7.56803i −0.0655600 + 0.340157i
\(496\) −10.0415 34.1983i −0.450879 1.53555i
\(497\) 10.0051 15.8217i 0.448791 0.709699i
\(498\) −1.80848 2.81405i −0.0810401 0.126101i
\(499\) 7.60059 + 31.3300i 0.340249 + 1.40253i 0.842916 + 0.538045i \(0.180837\pi\)
−0.502667 + 0.864480i \(0.667648\pi\)
\(500\) 8.64815 + 3.46220i 0.386757 + 0.154834i
\(501\) −5.28240 7.41810i −0.236000 0.331416i
\(502\) −29.1613 + 11.6744i −1.30153 + 0.521056i
\(503\) −4.38530 2.81826i −0.195531 0.125660i 0.439212 0.898383i \(-0.355258\pi\)
−0.634743 + 0.772723i \(0.718894\pi\)
\(504\) 5.25611 1.31592i 0.234126 0.0586158i
\(505\) 27.4399i 1.22106i
\(506\) −30.1889 + 10.0809i −1.34206 + 0.448150i
\(507\) −6.45641 3.72761i −0.286739 0.165549i
\(508\) 7.53090 1.45146i 0.334130 0.0643982i
\(509\) −24.2732 1.15628i −1.07589 0.0512510i −0.497854 0.867261i \(-0.665878\pi\)
−0.578038 + 0.816010i \(0.696181\pi\)
\(510\) 13.3923 + 1.92553i 0.593022 + 0.0852637i
\(511\) −19.7732 7.74858i −0.874715 0.342777i
\(512\) −0.0284865 0.198128i −0.00125894 0.00875610i
\(513\) −1.83220 + 0.444486i −0.0808935 + 0.0196245i
\(514\) −50.5408 + 2.40755i −2.22926 + 0.106193i
\(515\) 17.2861 + 1.65062i 0.761718 + 0.0727352i
\(516\) 1.03566 + 0.987500i 0.0455924 + 0.0434723i
\(517\) −15.2545 + 17.6047i −0.670894 + 0.774253i
\(518\) 37.2489 + 28.8542i 1.63662 + 1.26778i
\(519\) −11.2124 + 3.29226i −0.492169 + 0.144514i
\(520\) 7.59179 + 5.40609i 0.332922 + 0.237073i
\(521\) −0.817209 17.1553i −0.0358026 0.751588i −0.943382 0.331708i \(-0.892375\pi\)
0.907580 0.419880i \(-0.137928\pi\)
\(522\) 12.6918 12.1016i 0.555504 0.529672i
\(523\) 23.9344 18.8222i 1.04658 0.823037i 0.0620151 0.998075i \(-0.480247\pi\)
0.984562 + 0.175038i \(0.0560049\pi\)
\(524\) 2.17348 + 0.992595i 0.0949489 + 0.0433617i
\(525\) −1.92114 + 2.74008i −0.0838453 + 0.119587i
\(526\) 0.128546 0.200021i 0.00560486 0.00872134i
\(527\) 28.6434 + 9.91357i 1.24772 + 0.431842i
\(528\) −9.86379 + 17.0846i −0.429266 + 0.743511i
\(529\) −18.3852 + 13.8197i −0.799358 + 0.600855i
\(530\) 8.22244 4.74723i 0.357160 0.206207i
\(531\) −7.96815 + 6.90444i −0.345788 + 0.299627i
\(532\) 0.0280861 + 3.83765i 0.00121768 + 0.166383i
\(533\) 1.07282 7.46164i 0.0464691 0.323200i
\(534\) −2.61093 27.3429i −0.112986 1.18324i
\(535\) 11.7701 29.4004i 0.508867 1.27109i
\(536\) 10.6854 + 11.2065i 0.461539 + 0.484048i
\(537\) −8.10472 + 15.7210i −0.349745 + 0.678410i
\(538\) 40.0775 18.3028i 1.72786 0.789088i
\(539\) −16.9332 + 22.1933i −0.729366 + 0.955934i
\(540\) −1.12375 0.973737i −0.0483586 0.0419030i
\(541\) −2.13965 0.412385i −0.0919909 0.0177298i 0.143048 0.989716i \(-0.454310\pi\)
−0.235039 + 0.971986i \(0.575522\pi\)
\(542\) −2.14788 0.521070i −0.0922594 0.0223819i
\(543\) −1.65020 + 17.2816i −0.0708167 + 0.741626i
\(544\) 15.4665 + 7.97352i 0.663119 + 0.341862i
\(545\) 4.22501 14.3891i 0.180980 0.616360i
\(546\) 7.78548 6.84655i 0.333188 0.293005i
\(547\) −9.27888 + 20.3179i −0.396736 + 0.868732i 0.600854 + 0.799359i \(0.294827\pi\)
−0.997591 + 0.0693731i \(0.977900\pi\)
\(548\) 1.84258 + 4.60255i 0.0787113 + 0.196611i
\(549\) −3.70983 + 1.91255i −0.158332 + 0.0816258i
\(550\) −1.58860 8.24245i −0.0677382 0.351459i
\(551\) −9.93373 17.2057i −0.423191 0.732988i
\(552\) −1.96389 + 9.62321i −0.0835886 + 0.409591i
\(553\) 5.85621 + 2.96504i 0.249031 + 0.126086i
\(554\) −31.4941 36.3461i −1.33805 1.54420i
\(555\) −0.984095 + 20.6587i −0.0417725 + 0.876913i
\(556\) −8.37207 + 10.6459i −0.355055 + 0.451489i
\(557\) −15.2460 + 10.8566i −0.645993 + 0.460010i −0.855504 0.517797i \(-0.826752\pi\)
0.209510 + 0.977806i \(0.432813\pi\)
\(558\) −7.41189 9.42499i −0.313770 0.398991i
\(559\) −4.20227 1.23390i −0.177737 0.0521883i
\(560\) 20.4965 14.8227i 0.866135 0.626375i
\(561\) −6.96922 15.2605i −0.294241 0.644298i
\(562\) −8.90110 + 9.33521i −0.375470 + 0.393782i
\(563\) −6.30684 18.2224i −0.265802 0.767984i −0.996369 0.0851427i \(-0.972865\pi\)
0.730567 0.682841i \(-0.239256\pi\)
\(564\) −1.46987 4.24690i −0.0618926 0.178827i
\(565\) 0.503388 0.527938i 0.0211777 0.0222105i
\(566\) −1.66710 3.65045i −0.0700736 0.153440i
\(567\) 2.14388 1.55042i 0.0900343 0.0651114i
\(568\) 13.9030 + 4.08229i 0.583357 + 0.171289i
\(569\) −21.0648 26.7861i −0.883082 1.12293i −0.991665 0.128843i \(-0.958874\pi\)
0.108583 0.994087i \(-0.465369\pi\)
\(570\) −4.93932 + 3.51727i −0.206885 + 0.147322i
\(571\) 15.0484 19.1356i 0.629756 0.800799i −0.361554 0.932351i \(-0.617754\pi\)
0.991309 + 0.131552i \(0.0419960\pi\)
\(572\) −0.343772 + 7.21666i −0.0143738 + 0.301744i
\(573\) −4.41903 5.09984i −0.184608 0.213049i
\(574\) −12.5754 6.36700i −0.524886 0.265753i
\(575\) −2.97547 5.28608i −0.124086 0.220445i
\(576\) 1.50508 + 2.60688i 0.0627118 + 0.108620i
\(577\) −6.51298 33.7926i −0.271139 1.40680i −0.820705 0.571353i \(-0.806419\pi\)
0.549566 0.835451i \(-0.314793\pi\)
\(578\) −1.03147 + 0.531760i −0.0429035 + 0.0221183i
\(579\) 4.40428 + 11.0013i 0.183035 + 0.457200i
\(580\) 6.50919 14.2531i 0.270280 0.591830i
\(581\) 3.99362 3.51199i 0.165683 0.145702i
\(582\) −4.51637 + 15.3814i −0.187210 + 0.637578i
\(583\) −10.4639 5.39453i −0.433372 0.223419i
\(584\) 1.56259 16.3642i 0.0646604 0.677155i
\(585\) 4.42261 + 1.07291i 0.182852 + 0.0443595i
\(586\) −32.5019 6.26423i −1.34264 0.258773i
\(587\) 26.0169 + 22.5438i 1.07383 + 0.930481i 0.997778 0.0666231i \(-0.0212225\pi\)
0.0760537 + 0.997104i \(0.475768\pi\)
\(588\) −2.07460 4.97001i −0.0855551 0.204960i
\(589\) −12.3565 + 5.64300i −0.509139 + 0.232516i
\(590\) −15.5384 + 30.1402i −0.639704 + 1.24085i
\(591\) 12.4493 + 13.0565i 0.512096 + 0.537071i
\(592\) −19.6750 + 49.1458i −0.808638 + 2.01988i
\(593\) 0.490349 + 5.13517i 0.0201362 + 0.210876i 0.999940 + 0.0109167i \(0.00347496\pi\)
−0.979804 + 0.199959i \(0.935919\pi\)
\(594\) −0.944473 + 6.56895i −0.0387522 + 0.269527i
\(595\) 0.157424 + 21.5103i 0.00645375 + 0.881835i
\(596\) 8.93222 7.73981i 0.365878 0.317035i
\(597\) 15.7351 9.08466i 0.643994 0.371810i
\(598\) 5.09749 + 18.0885i 0.208452 + 0.739693i
\(599\) −4.16898 + 7.22088i −0.170340 + 0.295037i −0.938539 0.345174i \(-0.887820\pi\)
0.768199 + 0.640211i \(0.221153\pi\)
\(600\) −2.44786 0.847211i −0.0999333 0.0345872i
\(601\) 10.3158 16.0518i 0.420792 0.654765i −0.564542 0.825405i \(-0.690947\pi\)
0.985333 + 0.170640i \(0.0545835\pi\)
\(602\) −4.70124 + 6.70529i −0.191608 + 0.273287i
\(603\) 6.87766 + 3.14092i 0.280080 + 0.127908i
\(604\) −12.5690 + 9.88438i −0.511426 + 0.402190i
\(605\) 6.85886 6.53991i 0.278852 0.265885i
\(606\) −1.12425 23.6008i −0.0456694 0.958719i
\(607\) 23.2636 + 16.5659i 0.944238 + 0.672389i 0.944813 0.327611i \(-0.106243\pi\)
−0.000574347 1.00000i \(0.500183\pi\)
\(608\) −7.48252 + 2.19707i −0.303456 + 0.0891028i
\(609\) 22.0411 + 17.0738i 0.893152 + 0.691864i
\(610\) −8.79078 + 10.1451i −0.355928 + 0.410763i
\(611\) 9.95457 + 9.49167i 0.402719 + 0.383992i
\(612\) 3.22197 + 0.307661i 0.130240 + 0.0124365i
\(613\) −4.85369 + 0.231210i −0.196039 + 0.00933847i −0.145372 0.989377i \(-0.546438\pi\)
−0.0506671 + 0.998716i \(0.516135\pi\)
\(614\) −1.84385 + 0.447313i −0.0744116 + 0.0180521i
\(615\) −0.880522 6.12416i −0.0355061 0.246950i
\(616\) −20.1184 7.88385i −0.810592 0.317649i
\(617\) −0.625671 0.0899579i −0.0251886 0.00362157i 0.129709 0.991552i \(-0.458596\pi\)
−0.154898 + 0.987931i \(0.549505\pi\)
\(618\) 14.9353 + 0.711454i 0.600785 + 0.0286189i
\(619\) −10.7827 + 2.07819i −0.433393 + 0.0835296i −0.401282 0.915955i \(-0.631435\pi\)
−0.0321110 + 0.999484i \(0.510223\pi\)
\(620\) −9.27815 5.35674i −0.372619 0.215132i
\(621\) 0.856167 + 4.71879i 0.0343568 + 0.189359i
\(622\) 3.81118i 0.152814i
\(623\) 42.3615 10.6057i 1.69718 0.424907i
\(624\) 9.79928 + 6.29762i 0.392285 + 0.252106i
\(625\) −15.8528 + 6.34649i −0.634110 + 0.253860i
\(626\) 7.01421 + 9.85008i 0.280344 + 0.393688i
\(627\) 6.98005 + 2.79439i 0.278756 + 0.111597i
\(628\) 0.989832 + 4.08014i 0.0394986 + 0.162816i
\(629\) −24.3390 37.8723i −0.970461 1.51007i
\(630\) 4.54797 7.19196i 0.181195 0.286535i
\(631\) 8.28512 + 28.2165i 0.329826 + 1.12328i 0.942850 + 0.333219i \(0.108135\pi\)
−0.613024 + 0.790064i \(0.710047\pi\)
\(632\) −0.961562 + 4.98906i −0.0382489 + 0.198454i
\(633\) 8.42674 2.91652i 0.334933 0.115921i
\(634\) −3.70822 + 15.2855i −0.147272 + 0.607064i
\(635\) −11.1752 + 15.6933i −0.443472 + 0.622770i
\(636\) 1.91069 1.22793i 0.0757638 0.0486904i
\(637\) 12.6138 + 10.6107i 0.499776 + 0.420410i
\(638\) −69.2227 + 9.95272i −2.74055 + 0.394032i
\(639\) 7.04335 0.672558i 0.278631 0.0266060i
\(640\) 20.1776 + 15.8679i 0.797591 + 0.627233i
\(641\) −17.4003 33.7519i −0.687272 1.33312i −0.931620 0.363434i \(-0.881604\pi\)
0.244348 0.969688i \(-0.421426\pi\)
\(642\) 8.91882 25.7692i 0.351998 1.01703i
\(643\) 24.0041 0.946629 0.473315 0.880893i \(-0.343057\pi\)
0.473315 + 0.880893i \(0.343057\pi\)
\(644\) 9.74949 + 0.499569i 0.384184 + 0.0196858i
\(645\) −3.59463 −0.141538
\(646\) 4.31691 12.4729i 0.169847 0.490739i
\(647\) −6.06778 11.7699i −0.238549 0.462721i 0.738922 0.673791i \(-0.235335\pi\)
−0.977471 + 0.211071i \(0.932305\pi\)
\(648\) 1.60979 + 1.26595i 0.0632384 + 0.0497312i
\(649\) 41.8559 3.99675i 1.64299 0.156886i
\(650\) −4.90599 + 0.705375i −0.192429 + 0.0276671i
\(651\) 13.0535 13.8923i 0.511608 0.544482i
\(652\) −12.4230 + 7.98380i −0.486524 + 0.312670i
\(653\) −9.94691 + 13.9685i −0.389253 + 0.546629i −0.961981 0.273116i \(-0.911946\pi\)
0.572728 + 0.819745i \(0.305885\pi\)
\(654\) 3.04436 12.5490i 0.119044 0.490705i
\(655\) −5.67202 + 1.96311i −0.221624 + 0.0767049i
\(656\) 2.99709 15.5504i 0.117017 0.607140i
\(657\) −2.26144 7.70177i −0.0882274 0.300475i
\(658\) 22.7724 11.9518i 0.887762 0.465928i
\(659\) 14.5336 + 22.6147i 0.566148 + 0.880943i 0.999797 0.0201387i \(-0.00641078\pi\)
−0.433650 + 0.901082i \(0.642774\pi\)
\(660\) 1.39801 + 5.76266i 0.0544173 + 0.224311i
\(661\) 5.45873 + 2.18534i 0.212320 + 0.0850001i 0.475384 0.879778i \(-0.342309\pi\)
−0.263065 + 0.964778i \(0.584733\pi\)
\(662\) 13.8374 + 19.4319i 0.537806 + 0.755242i
\(663\) −9.19636 + 3.68167i −0.357157 + 0.142984i
\(664\) 3.46304 + 2.22556i 0.134392 + 0.0863686i
\(665\) −6.70350 6.92819i −0.259950 0.268664i
\(666\) 17.8087i 0.690072i
\(667\) −45.1698 + 22.6661i −1.74898 + 0.877635i
\(668\) −6.06778 3.50324i −0.234770 0.135544i
\(669\) 10.0392 1.93490i 0.388139 0.0748076i
\(670\) 24.2900 + 1.15708i 0.938406 + 0.0447018i
\(671\) 16.4755 + 2.36882i 0.636029 + 0.0914472i
\(672\) 8.55260 6.82773i 0.329924 0.263385i
\(673\) 1.15661 + 8.04440i 0.0445841 + 0.310089i 0.999895 + 0.0144864i \(0.00461132\pi\)
−0.955311 + 0.295603i \(0.904480\pi\)
\(674\) 35.2277 8.54616i 1.35692 0.329186i
\(675\) −1.26341 + 0.0601837i −0.0486287 + 0.00231647i
\(676\) −5.70990 0.545229i −0.219611 0.0209703i
\(677\) −7.56987 7.21786i −0.290934 0.277405i 0.530529 0.847667i \(-0.321993\pi\)
−0.821463 + 0.570262i \(0.806842\pi\)
\(678\) 0.411329 0.474699i 0.0157970 0.0182307i
\(679\) −25.2530 3.44240i −0.969121 0.132107i
\(680\) −15.9759 + 4.69096i −0.612650 + 0.179890i
\(681\) −13.6952 9.75231i −0.524802 0.373709i
\(682\) 2.27520 + 47.7623i 0.0871218 + 1.82891i
\(683\) −3.02622 + 2.88550i −0.115795 + 0.110410i −0.745765 0.666209i \(-0.767916\pi\)
0.629970 + 0.776620i \(0.283067\pi\)
\(684\) −1.14020 + 0.896662i −0.0435966 + 0.0342847i
\(685\) −11.3282 5.17341i −0.432828 0.197666i
\(686\) 26.3465 15.9924i 1.00591 0.610594i
\(687\) −6.15179 + 9.57237i −0.234705 + 0.365209i
\(688\) −8.69476 3.00929i −0.331485 0.114728i
\(689\) −3.47566 + 6.02002i −0.132412 + 0.229344i
\(690\) 8.19696 + 13.0661i 0.312053 + 0.497418i
\(691\) 1.86111 1.07451i 0.0707998 0.0408763i −0.464182 0.885740i \(-0.653652\pi\)
0.534982 + 0.844863i \(0.320318\pi\)
\(692\) −6.79474 + 5.88768i −0.258297 + 0.223816i
\(693\) −10.5508 + 0.0772166i −0.400792 + 0.00293321i
\(694\) 3.31731 23.0724i 0.125923 0.875816i
\(695\) −3.23391 33.8671i −0.122669 1.28465i
\(696\) −8.02079 + 20.0350i −0.304027 + 0.759424i
\(697\) 9.29369 + 9.74694i 0.352024 + 0.369192i
\(698\) −18.0441 + 35.0007i −0.682979 + 1.32479i
\(699\) 8.74263 3.99262i 0.330676 0.151015i
\(700\) −0.468748 + 2.53166i −0.0177170 + 0.0956877i
\(701\) 26.5977 + 23.0471i 1.00458 + 0.870475i 0.991587 0.129440i \(-0.0413180\pi\)
0.0129949 + 0.999916i \(0.495863\pi\)
\(702\) 3.84780 + 0.741603i 0.145226 + 0.0279900i
\(703\) 19.6071 + 4.75663i 0.739495 + 0.179400i
\(704\) 1.14109 11.9500i 0.0430063 0.450382i
\(705\) 10.0341 + 5.17293i 0.377905 + 0.194824i
\(706\) 5.82601 19.8416i 0.219265 0.746747i
\(707\) 36.8327 7.37888i 1.38523 0.277511i
\(708\) −3.36977 + 7.37876i −0.126644 + 0.277311i
\(709\) 5.16678 + 12.9060i 0.194042 + 0.484694i 0.993199 0.116428i \(-0.0371446\pi\)
−0.799157 + 0.601123i \(0.794720\pi\)
\(710\) 20.2263 10.4274i 0.759080 0.391333i
\(711\) 0.469527 + 2.43614i 0.0176086 + 0.0913624i
\(712\) 16.9009 + 29.2733i 0.633389 + 1.09706i
\(713\) 12.4916 + 32.2173i 0.467816 + 1.20655i
\(714\) 1.01670 + 18.4943i 0.0380490 + 0.692133i
\(715\) −11.8848 13.7158i −0.444468 0.512943i
\(716\) −0.647498 + 13.5927i −0.0241981 + 0.507981i
\(717\) 4.65434 5.91847i 0.173819 0.221029i
\(718\) 27.7995 19.7959i 1.03747 0.738777i
\(719\) 11.4546 + 14.5656i 0.427183 + 0.543207i 0.951230 0.308482i \(-0.0998210\pi\)
−0.524047 + 0.851689i \(0.675579\pi\)
\(720\) 9.17322 + 2.69350i 0.341866 + 0.100381i
\(721\) 2.43278 + 23.6471i 0.0906015 + 0.880662i
\(722\) −10.6776 23.3807i −0.397380 0.870141i
\(723\) 0.604997 0.634502i 0.0225001 0.0235974i
\(724\) 4.36850 + 12.6220i 0.162354 + 0.469091i
\(725\) −4.35941 12.5957i −0.161904 0.467792i
\(726\) 5.63130 5.90594i 0.208997 0.219190i
\(727\) −13.8323 30.2885i −0.513012 1.12334i −0.972018 0.234906i \(-0.924522\pi\)
0.459006 0.888433i \(-0.348206\pi\)
\(728\) −5.21509 + 11.6442i −0.193284 + 0.431564i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −15.9586 20.2930i −0.590654 0.751077i
\(731\) 6.37361 4.53863i 0.235737 0.167867i
\(732\) −1.98505 + 2.52420i −0.0733696 + 0.0932970i
\(733\) −0.860997 + 18.0745i −0.0318016 + 0.667598i 0.925542 + 0.378646i \(0.123610\pi\)
−0.957343 + 0.288953i \(0.906693\pi\)
\(734\) −3.13038 3.61266i −0.115545 0.133346i
\(735\) 12.3870 + 5.43926i 0.456900 + 0.200630i
\(736\) 4.46611 + 19.3279i 0.164623 + 0.712435i
\(737\) −15.0763 26.1128i −0.555341 0.961879i
\(738\) −1.00824 5.23126i −0.0371139 0.192565i
\(739\) −12.4191 + 6.40251i −0.456845 + 0.235520i −0.671259 0.741223i \(-0.734246\pi\)
0.214414 + 0.976743i \(0.431216\pi\)
\(740\) 5.91401 + 14.7725i 0.217403 + 0.543047i
\(741\) 1.84423 4.03829i 0.0677494 0.148350i
\(742\) 8.58331 + 9.76042i 0.315103 + 0.358316i
\(743\) 6.24134 21.2560i 0.228972 0.779808i −0.762213 0.647326i \(-0.775887\pi\)
0.991185 0.132482i \(-0.0422947\pi\)
\(744\) 13.1152 + 6.76137i 0.480827 + 0.247884i
\(745\) −2.82213 + 29.5547i −0.103395 + 1.08280i
\(746\) 24.4432 + 5.92985i 0.894929 + 0.217107i
\(747\) 1.97376 + 0.380411i 0.0722161 + 0.0139185i
\(748\) −9.75481 8.45259i −0.356671 0.309057i
\(749\) 42.6293 + 7.89300i 1.55764 + 0.288404i
\(750\) −18.3283 + 8.37024i −0.669254 + 0.305638i
\(751\) −21.5634 + 41.8272i −0.786860 + 1.52630i 0.0622386 + 0.998061i \(0.480176\pi\)
−0.849099 + 0.528234i \(0.822854\pi\)
\(752\) 19.9400 + 20.9125i 0.727138 + 0.762601i
\(753\) 7.01528 17.5233i 0.255651 0.638585i
\(754\) 3.92523 + 41.1068i 0.142948 + 1.49702i
\(755\) 5.71630 39.7578i 0.208038 1.44693i
\(756\) 1.00486 1.77026i 0.0365464 0.0643838i
\(757\) −34.9687 + 30.3006i −1.27096 + 1.10129i −0.281036 + 0.959697i \(0.590678\pi\)
−0.989924 + 0.141597i \(0.954776\pi\)
\(758\) −14.3708 + 8.29699i −0.521971 + 0.301360i
\(759\) 8.13441 17.3094i 0.295260 0.628291i
\(760\) 3.73105 6.46237i 0.135339 0.234415i
\(761\) −31.9206 11.0478i −1.15712 0.400484i −0.319956 0.947432i \(-0.603668\pi\)
−0.837166 + 0.546948i \(0.815789\pi\)
\(762\) −8.96868 + 13.9555i −0.324901 + 0.505556i
\(763\) 20.4506 + 1.80187i 0.740362 + 0.0652321i
\(764\) −4.72261 2.15675i −0.170858 0.0780283i
\(765\) −6.39087 + 5.02584i −0.231063 + 0.181710i
\(766\) −7.60271 + 7.24917i −0.274697 + 0.261923i
\(767\) −1.18131 24.7987i −0.0426546 0.895430i
\(768\) 13.1007 + 9.32898i 0.472731 + 0.336630i
\(769\) 10.5505 3.09791i 0.380461 0.111713i −0.0859094 0.996303i \(-0.527380\pi\)
0.466370 + 0.884590i \(0.345561\pi\)
\(770\) −31.4106 + 12.8424i −1.13196 + 0.462809i
\(771\) 19.9110 22.9785i 0.717075 0.827549i
\(772\) 6.59847 + 6.29163i 0.237484 + 0.226441i
\(773\) 30.2785 + 2.89125i 1.08904 + 0.103991i