Properties

Label 177.2.f.a.65.6
Level $177$
Weight $2$
Character 177.65
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 65.6
Character \(\chi\) \(=\) 177.65
Dual form 177.2.f.a.128.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.472909 - 1.18691i) q^{2} +(-1.42996 + 0.977348i) q^{3} +(0.266872 - 0.252795i) q^{4} +(-0.187027 + 0.158862i) q^{5} +(1.83627 + 1.23504i) q^{6} +(2.43110 - 1.46275i) q^{7} +(-2.74539 - 1.27015i) q^{8} +(1.08958 - 2.79514i) q^{9} +O(q^{10})\) \(q+(-0.472909 - 1.18691i) q^{2} +(-1.42996 + 0.977348i) q^{3} +(0.266872 - 0.252795i) q^{4} +(-0.187027 + 0.158862i) q^{5} +(1.83627 + 1.23504i) q^{6} +(2.43110 - 1.46275i) q^{7} +(-2.74539 - 1.27015i) q^{8} +(1.08958 - 2.79514i) q^{9} +(0.277002 + 0.146857i) q^{10} +(-0.109776 - 2.02469i) q^{11} +(-0.134549 + 0.622313i) q^{12} +(0.464390 - 2.10975i) q^{13} +(-2.88584 - 2.19376i) q^{14} +(0.112178 - 0.409957i) q^{15} +(-0.169438 + 3.12510i) q^{16} +(1.22526 - 2.03640i) q^{17} +(-3.83286 + 0.0286073i) q^{18} +(-1.36242 - 4.90699i) q^{19} +(-0.00975276 + 0.0896751i) q^{20} +(-2.04677 + 4.46770i) q^{21} +(-2.35122 + 1.08779i) q^{22} +(-1.16581 + 1.71944i) q^{23} +(5.16718 - 0.866930i) q^{24} +(-0.799168 + 4.87471i) q^{25} +(-2.72370 + 0.446528i) q^{26} +(1.17376 + 5.06185i) q^{27} +(0.279019 - 1.00493i) q^{28} +(6.90693 + 2.75197i) q^{29} +(-0.539633 + 0.0607270i) q^{30} +(1.87329 + 0.520118i) q^{31} +(-1.94390 + 0.654977i) q^{32} +(2.13581 + 2.78795i) q^{33} +(-2.99646 - 0.491245i) q^{34} +(-0.222306 + 0.659782i) q^{35} +(-0.415817 - 1.02139i) q^{36} +(2.61159 + 5.64487i) q^{37} +(-5.17987 + 3.93764i) q^{38} +(1.39789 + 3.47073i) q^{39} +(0.715240 - 0.198585i) q^{40} +(9.17878 - 6.22337i) q^{41} +(6.27071 + 0.316523i) q^{42} +(-9.20994 - 0.499348i) q^{43} +(-0.541128 - 0.512583i) q^{44} +(0.240260 + 0.695859i) q^{45} +(2.59214 + 0.570574i) q^{46} +(-1.56059 + 1.83726i) q^{47} +(-2.81201 - 4.63437i) q^{48} +(0.491772 - 0.927580i) q^{49} +(6.16379 - 1.35675i) q^{50} +(0.238193 + 4.10947i) q^{51} +(-0.409400 - 0.680427i) q^{52} +(-4.43423 + 2.35088i) q^{53} +(5.45289 - 3.78695i) q^{54} +(0.342178 + 0.361233i) q^{55} +(-8.53223 + 0.927936i) q^{56} +(6.74404 + 5.68525i) q^{57} -9.49935i q^{58} +(5.00917 + 5.82308i) q^{59} +(-0.0736977 - 0.137764i) q^{60} +(0.658068 - 0.262198i) q^{61} +(-0.268564 - 2.46941i) q^{62} +(-1.43969 - 8.38905i) q^{63} +(5.74892 + 6.76815i) q^{64} +(0.248305 + 0.468353i) q^{65} +(2.29901 - 3.85346i) q^{66} +(-3.53213 + 7.63456i) q^{67} +(-0.187803 - 0.853196i) q^{68} +(-0.0134275 - 3.59813i) q^{69} +(0.888234 - 0.0481587i) q^{70} +(2.50904 + 2.13120i) q^{71} +(-6.54159 + 6.28981i) q^{72} +(1.17479 - 1.54540i) q^{73} +(5.46492 - 5.76924i) q^{74} +(-3.62151 - 7.75172i) q^{75} +(-1.60405 - 0.965126i) q^{76} +(-3.22849 - 4.76166i) q^{77} +(3.45837 - 3.30052i) q^{78} +(-8.46708 - 0.920850i) q^{79} +(-0.464769 - 0.611393i) q^{80} +(-6.62562 - 6.09108i) q^{81} +(-11.7273 - 7.95132i) q^{82} +(-8.51364 - 2.86858i) q^{83} +(0.583184 + 1.70972i) q^{84} +(0.0943497 + 0.575507i) q^{85} +(3.76278 + 11.1675i) q^{86} +(-12.5663 + 2.81525i) q^{87} +(-2.27029 + 5.69801i) q^{88} +(4.91408 - 12.3334i) q^{89} +(0.712303 - 0.614246i) q^{90} +(-1.95704 - 5.80829i) q^{91} +(0.123543 + 0.753579i) q^{92} +(-3.18708 + 1.08711i) q^{93} +(2.91869 + 0.983420i) q^{94} +(1.03434 + 0.701302i) q^{95} +(2.13957 - 2.83646i) q^{96} +(5.55594 + 7.30871i) q^{97} +(-1.33352 - 0.145029i) q^{98} +(-5.77891 - 1.89923i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{51}{58}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.472909 1.18691i −0.334397 0.839274i −0.995994 0.0894147i \(-0.971500\pi\)
0.661597 0.749860i \(-0.269879\pi\)
\(3\) −1.42996 + 0.977348i −0.825589 + 0.564272i
\(4\) 0.266872 0.252795i 0.133436 0.126397i
\(5\) −0.187027 + 0.158862i −0.0836409 + 0.0710452i −0.688231 0.725491i \(-0.741613\pi\)
0.604591 + 0.796536i \(0.293337\pi\)
\(6\) 1.83627 + 1.23504i 0.749654 + 0.504204i
\(7\) 2.43110 1.46275i 0.918870 0.552866i 0.0242561 0.999706i \(-0.492278\pi\)
0.894614 + 0.446840i \(0.147451\pi\)
\(8\) −2.74539 1.27015i −0.970642 0.449067i
\(9\) 1.08958 2.79514i 0.363194 0.931713i
\(10\) 0.277002 + 0.146857i 0.0875957 + 0.0464403i
\(11\) −0.109776 2.02469i −0.0330986 0.610468i −0.967286 0.253687i \(-0.918357\pi\)
0.934188 0.356782i \(-0.116126\pi\)
\(12\) −0.134549 + 0.622313i −0.0388408 + 0.179646i
\(13\) 0.464390 2.10975i 0.128799 0.585138i −0.867368 0.497667i \(-0.834190\pi\)
0.996167 0.0874715i \(-0.0278787\pi\)
\(14\) −2.88584 2.19376i −0.771274 0.586307i
\(15\) 0.112178 0.409957i 0.0289642 0.105850i
\(16\) −0.169438 + 3.12510i −0.0423594 + 0.781274i
\(17\) 1.22526 2.03640i 0.297169 0.493899i −0.671916 0.740628i \(-0.734528\pi\)
0.969084 + 0.246729i \(0.0793558\pi\)
\(18\) −3.83286 + 0.0286073i −0.903414 + 0.00674281i
\(19\) −1.36242 4.90699i −0.312560 1.12574i −0.938332 0.345735i \(-0.887630\pi\)
0.625772 0.780006i \(-0.284784\pi\)
\(20\) −0.00975276 + 0.0896751i −0.00218078 + 0.0200520i
\(21\) −2.04677 + 4.46770i −0.446642 + 0.974932i
\(22\) −2.35122 + 1.08779i −0.501282 + 0.231918i
\(23\) −1.16581 + 1.71944i −0.243088 + 0.358528i −0.929587 0.368603i \(-0.879836\pi\)
0.686499 + 0.727131i \(0.259147\pi\)
\(24\) 5.16718 0.866930i 1.05475 0.176961i
\(25\) −0.799168 + 4.87471i −0.159834 + 0.974942i
\(26\) −2.72370 + 0.446528i −0.534161 + 0.0875713i
\(27\) 1.17376 + 5.06185i 0.225890 + 0.974153i
\(28\) 0.279019 1.00493i 0.0527296 0.189915i
\(29\) 6.90693 + 2.75197i 1.28258 + 0.511028i 0.909088 0.416604i \(-0.136780\pi\)
0.373496 + 0.927632i \(0.378159\pi\)
\(30\) −0.539633 + 0.0607270i −0.0985230 + 0.0110872i
\(31\) 1.87329 + 0.520118i 0.336454 + 0.0934159i 0.431646 0.902043i \(-0.357933\pi\)
−0.0951926 + 0.995459i \(0.530347\pi\)
\(32\) −1.94390 + 0.654977i −0.343637 + 0.115785i
\(33\) 2.13581 + 2.78795i 0.371796 + 0.485319i
\(34\) −2.99646 0.491245i −0.513889 0.0842478i
\(35\) −0.222306 + 0.659782i −0.0375766 + 0.111523i
\(36\) −0.415817 1.02139i −0.0693028 0.170231i
\(37\) 2.61159 + 5.64487i 0.429343 + 0.928010i 0.994667 + 0.103141i \(0.0328893\pi\)
−0.565323 + 0.824869i \(0.691249\pi\)
\(38\) −5.17987 + 3.93764i −0.840286 + 0.638769i
\(39\) 1.39789 + 3.47073i 0.223842 + 0.555761i
\(40\) 0.715240 0.198585i 0.113089 0.0313991i
\(41\) 9.17878 6.22337i 1.43348 0.971927i 0.436082 0.899907i \(-0.356366\pi\)
0.997403 0.0720196i \(-0.0229444\pi\)
\(42\) 6.27071 + 0.316523i 0.967592 + 0.0488406i
\(43\) −9.20994 0.499348i −1.40450 0.0761499i −0.663763 0.747943i \(-0.731042\pi\)
−0.740739 + 0.671793i \(0.765525\pi\)
\(44\) −0.541128 0.512583i −0.0815781 0.0772749i
\(45\) 0.240260 + 0.695859i 0.0358159 + 0.103733i
\(46\) 2.59214 + 0.570574i 0.382191 + 0.0841266i
\(47\) −1.56059 + 1.83726i −0.227635 + 0.267992i −0.864108 0.503306i \(-0.832117\pi\)
0.636473 + 0.771299i \(0.280393\pi\)
\(48\) −2.81201 4.63437i −0.405879 0.668913i
\(49\) 0.491772 0.927580i 0.0702531 0.132511i
\(50\) 6.16379 1.35675i 0.871692 0.191874i
\(51\) 0.238193 + 4.10947i 0.0333537 + 0.575441i
\(52\) −0.409400 0.680427i −0.0567735 0.0943583i
\(53\) −4.43423 + 2.35088i −0.609088 + 0.322918i −0.744245 0.667906i \(-0.767191\pi\)
0.135158 + 0.990824i \(0.456846\pi\)
\(54\) 5.45289 3.78695i 0.742044 0.515338i
\(55\) 0.342178 + 0.361233i 0.0461392 + 0.0487086i
\(56\) −8.53223 + 0.927936i −1.14017 + 0.124001i
\(57\) 6.74404 + 5.68525i 0.893271 + 0.753030i
\(58\) 9.49935i 1.24733i
\(59\) 5.00917 + 5.82308i 0.652138 + 0.758100i
\(60\) −0.0736977 0.137764i −0.00951433 0.0177852i
\(61\) 0.658068 0.262198i 0.0842570 0.0335711i −0.327629 0.944807i \(-0.606250\pi\)
0.411886 + 0.911235i \(0.364870\pi\)
\(62\) −0.268564 2.46941i −0.0341077 0.313615i
\(63\) −1.43969 8.38905i −0.181384 1.05692i
\(64\) 5.74892 + 6.76815i 0.718615 + 0.846019i
\(65\) 0.248305 + 0.468353i 0.0307984 + 0.0580920i
\(66\) 2.29901 3.85346i 0.282988 0.474328i
\(67\) −3.53213 + 7.63456i −0.431518 + 0.932710i 0.562833 + 0.826570i \(0.309711\pi\)
−0.994351 + 0.106140i \(0.966151\pi\)
\(68\) −0.187803 0.853196i −0.0227744 0.103465i
\(69\) −0.0134275 3.59813i −0.00161648 0.433164i
\(70\) 0.888234 0.0481587i 0.106164 0.00575606i
\(71\) 2.50904 + 2.13120i 0.297768 + 0.252926i 0.783798 0.621016i \(-0.213280\pi\)
−0.486030 + 0.873942i \(0.661556\pi\)
\(72\) −6.54159 + 6.28981i −0.770933 + 0.741262i
\(73\) 1.17479 1.54540i 0.137498 0.180876i −0.722190 0.691694i \(-0.756865\pi\)
0.859689 + 0.510819i \(0.170658\pi\)
\(74\) 5.46492 5.76924i 0.635284 0.670661i
\(75\) −3.62151 7.75172i −0.418175 0.895091i
\(76\) −1.60405 0.965126i −0.183997 0.110708i
\(77\) −3.22849 4.76166i −0.367920 0.542642i
\(78\) 3.45837 3.30052i 0.391584 0.373710i
\(79\) −8.46708 0.920850i −0.952621 0.103604i −0.381409 0.924406i \(-0.624561\pi\)
−0.571212 + 0.820803i \(0.693527\pi\)
\(80\) −0.464769 0.611393i −0.0519628 0.0683559i
\(81\) −6.62562 6.09108i −0.736180 0.676786i
\(82\) −11.7273 7.95132i −1.29507 0.878077i
\(83\) −8.51364 2.86858i −0.934493 0.314867i −0.189455 0.981889i \(-0.560672\pi\)
−0.745038 + 0.667022i \(0.767569\pi\)
\(84\) 0.583184 + 1.70972i 0.0636306 + 0.186545i
\(85\) 0.0943497 + 0.575507i 0.0102337 + 0.0624225i
\(86\) 3.76278 + 11.1675i 0.405751 + 1.20423i
\(87\) −12.5663 + 2.81525i −1.34725 + 0.301827i
\(88\) −2.27029 + 5.69801i −0.242014 + 0.607410i
\(89\) 4.91408 12.3334i 0.520892 1.30734i −0.399640 0.916672i \(-0.630865\pi\)
0.920532 0.390667i \(-0.127756\pi\)
\(90\) 0.712303 0.614246i 0.0750833 0.0647472i
\(91\) −1.95704 5.80829i −0.205154 0.608874i
\(92\) 0.123543 + 0.753579i 0.0128803 + 0.0785661i
\(93\) −3.18708 + 1.08711i −0.330484 + 0.112728i
\(94\) 2.91869 + 0.983420i 0.301040 + 0.101432i
\(95\) 1.03434 + 0.701302i 0.106121 + 0.0719521i
\(96\) 2.13957 2.83646i 0.218369 0.289495i
\(97\) 5.55594 + 7.30871i 0.564120 + 0.742087i 0.986397 0.164379i \(-0.0525621\pi\)
−0.422277 + 0.906467i \(0.638769\pi\)
\(98\) −1.33352 0.145029i −0.134706 0.0146501i
\(99\) −5.77891 1.89923i −0.580803 0.190880i
\(100\) 1.01902 + 1.50295i 0.101902 + 0.150295i
\(101\) 3.76973 + 2.26817i 0.375102 + 0.225691i 0.690603 0.723234i \(-0.257345\pi\)
−0.315501 + 0.948925i \(0.602173\pi\)
\(102\) 4.76494 2.22612i 0.471800 0.220419i
\(103\) 10.5463 11.1336i 1.03916 1.09703i 0.0439718 0.999033i \(-0.485999\pi\)
0.995187 0.0979939i \(-0.0312426\pi\)
\(104\) −3.95463 + 5.20223i −0.387784 + 0.510121i
\(105\) −0.326946 1.16073i −0.0319067 0.113276i
\(106\) 4.88727 + 4.15129i 0.474694 + 0.403209i
\(107\) −15.5514 + 0.843174i −1.50341 + 0.0815127i −0.787343 0.616515i \(-0.788544\pi\)
−0.716071 + 0.698028i \(0.754061\pi\)
\(108\) 1.59285 + 1.05414i 0.153272 + 0.101435i
\(109\) 0.153945 + 0.699377i 0.0147452 + 0.0669882i 0.983419 0.181350i \(-0.0580467\pi\)
−0.968673 + 0.248338i \(0.920116\pi\)
\(110\) 0.266933 0.576966i 0.0254510 0.0550115i
\(111\) −9.25148 5.51951i −0.878111 0.523889i
\(112\) 4.15930 + 7.84527i 0.393017 + 0.741308i
\(113\) 11.2612 + 13.2578i 1.05937 + 1.24719i 0.967889 + 0.251379i \(0.0808841\pi\)
0.0914806 + 0.995807i \(0.470840\pi\)
\(114\) 3.55858 10.6932i 0.333292 1.00151i
\(115\) −0.0551160 0.506783i −0.00513959 0.0472578i
\(116\) 2.53895 1.01161i 0.235735 0.0939256i
\(117\) −5.39104 3.59678i −0.498402 0.332522i
\(118\) 4.54261 8.69923i 0.418181 0.800829i
\(119\) 6.74293i 0.618123i
\(120\) −0.828679 + 0.983008i −0.0756477 + 0.0897359i
\(121\) 6.84818 0.744785i 0.622562 0.0677077i
\(122\) −0.622413 0.657074i −0.0563507 0.0594887i
\(123\) −7.04292 + 17.8700i −0.635038 + 1.61129i
\(124\) 0.631413 0.334754i 0.0567025 0.0300618i
\(125\) −1.25750 2.08998i −0.112474 0.186933i
\(126\) −9.27623 + 5.67605i −0.826392 + 0.505663i
\(127\) 17.4581 3.84282i 1.54916 0.340995i 0.643648 0.765322i \(-0.277420\pi\)
0.905509 + 0.424326i \(0.139489\pi\)
\(128\) 3.39282 6.39953i 0.299885 0.565644i
\(129\) 13.6579 8.28726i 1.20251 0.729653i
\(130\) 0.438468 0.516205i 0.0384562 0.0452741i
\(131\) 8.84799 + 1.94759i 0.773052 + 0.170162i 0.583943 0.811794i \(-0.301509\pi\)
0.189109 + 0.981956i \(0.439440\pi\)
\(132\) 1.27476 + 0.204105i 0.110954 + 0.0177651i
\(133\) −10.4899 9.93652i −0.909586 0.861606i
\(134\) 10.7319 + 0.581869i 0.927098 + 0.0502658i
\(135\) −1.02366 0.760234i −0.0881025 0.0654306i
\(136\) −5.95035 + 4.03444i −0.510238 + 0.345950i
\(137\) 8.06116 2.23817i 0.688712 0.191220i 0.0944956 0.995525i \(-0.469876\pi\)
0.594216 + 0.804305i \(0.297462\pi\)
\(138\) −4.26432 + 1.71753i −0.363003 + 0.146206i
\(139\) 7.62179 5.79393i 0.646472 0.491435i −0.229809 0.973236i \(-0.573810\pi\)
0.876281 + 0.481801i \(0.160017\pi\)
\(140\) 0.107462 + 0.232275i 0.00908219 + 0.0196308i
\(141\) 0.435933 4.15245i 0.0367122 0.349700i
\(142\) 1.34300 3.98587i 0.112702 0.334487i
\(143\) −4.32257 0.708649i −0.361471 0.0592602i
\(144\) 8.55046 + 3.87865i 0.712539 + 0.323221i
\(145\) −1.72896 + 0.582555i −0.143583 + 0.0483786i
\(146\) −2.38983 0.663532i −0.197784 0.0549143i
\(147\) 0.203353 + 1.80704i 0.0167723 + 0.149042i
\(148\) 2.12395 + 0.846260i 0.174588 + 0.0695622i
\(149\) −4.80402 + 17.3025i −0.393561 + 1.41748i 0.455997 + 0.889981i \(0.349283\pi\)
−0.849558 + 0.527496i \(0.823131\pi\)
\(150\) −7.48797 + 7.96427i −0.611390 + 0.650280i
\(151\) −13.3902 + 2.19521i −1.08968 + 0.178644i −0.679729 0.733464i \(-0.737902\pi\)
−0.409951 + 0.912108i \(0.634454\pi\)
\(152\) −2.49226 + 15.2021i −0.202149 + 1.23305i
\(153\) −4.35699 5.64359i −0.352242 0.456258i
\(154\) −4.12490 + 6.08377i −0.332394 + 0.490244i
\(155\) −0.432983 + 0.200319i −0.0347780 + 0.0160900i
\(156\) 1.25044 + 0.572860i 0.100115 + 0.0458655i
\(157\) 0.273618 2.51588i 0.0218371 0.200789i −0.978137 0.207961i \(-0.933317\pi\)
0.999974 + 0.00717175i \(0.00228286\pi\)
\(158\) 2.91119 + 10.4852i 0.231602 + 0.834155i
\(159\) 4.04315 7.69545i 0.320643 0.610289i
\(160\) 0.259511 0.431310i 0.0205161 0.0340981i
\(161\) −0.319097 + 5.88541i −0.0251484 + 0.463835i
\(162\) −4.09626 + 10.7446i −0.321833 + 0.844172i
\(163\) −3.59350 2.73171i −0.281465 0.213964i 0.454911 0.890537i \(-0.349671\pi\)
−0.736375 + 0.676573i \(0.763464\pi\)
\(164\) 0.876326 3.98119i 0.0684295 0.310879i
\(165\) −0.842351 0.182122i −0.0655770 0.0141782i
\(166\) 0.621426 + 11.4615i 0.0482320 + 0.889587i
\(167\) 20.6509 + 10.9484i 1.59801 + 0.847213i 0.998917 + 0.0465367i \(0.0148185\pi\)
0.599097 + 0.800676i \(0.295526\pi\)
\(168\) 11.2939 9.66587i 0.871340 0.745738i
\(169\) 7.56311 + 3.49907i 0.581778 + 0.269159i
\(170\) 0.638458 0.384148i 0.0489675 0.0294628i
\(171\) −15.2002 1.53842i −1.16239 0.117646i
\(172\) −2.58411 + 2.19496i −0.197036 + 0.167364i
\(173\) −8.39413 + 7.95134i −0.638194 + 0.604530i −0.936808 0.349845i \(-0.886234\pi\)
0.298614 + 0.954374i \(0.403476\pi\)
\(174\) 9.28417 + 13.5837i 0.703831 + 1.02978i
\(175\) 5.18760 + 13.0199i 0.392146 + 0.984211i
\(176\) 6.34596 0.478345
\(177\) −12.8541 3.43109i −0.966173 0.257896i
\(178\) −16.9626 −1.27140
\(179\) 3.49466 + 8.77095i 0.261203 + 0.655571i 0.999828 0.0185458i \(-0.00590365\pi\)
−0.738625 + 0.674117i \(0.764524\pi\)
\(180\) 0.240028 + 0.124969i 0.0178906 + 0.00931463i
\(181\) −7.31087 + 6.92523i −0.543413 + 0.514748i −0.909428 0.415861i \(-0.863480\pi\)
0.366015 + 0.930609i \(0.380722\pi\)
\(182\) −5.96843 + 5.06963i −0.442410 + 0.375786i
\(183\) −0.684754 + 1.01810i −0.0506185 + 0.0752598i
\(184\) 5.38455 3.23977i 0.396954 0.238839i
\(185\) −1.38519 0.640858i −0.101841 0.0471168i
\(186\) 2.79750 + 3.26868i 0.205123 + 0.239671i
\(187\) −4.25758 2.25723i −0.311345 0.165065i
\(188\) 0.0479736 + 0.884822i 0.00349884 + 0.0645323i
\(189\) 10.2577 + 10.5889i 0.746139 + 0.770233i
\(190\) 0.343234 1.55933i 0.0249008 0.113125i
\(191\) −14.4586 10.9912i −1.04619 0.795292i −0.0669003 0.997760i \(-0.521311\pi\)
−0.979289 + 0.202467i \(0.935104\pi\)
\(192\) −14.8356 4.05951i −1.07067 0.292970i
\(193\) 0.506574 9.34321i 0.0364640 0.672539i −0.921976 0.387246i \(-0.873426\pi\)
0.958440 0.285293i \(-0.0920909\pi\)
\(194\) 6.04735 10.0508i 0.434174 0.721604i
\(195\) −0.812810 0.427046i −0.0582065 0.0305814i
\(196\) −0.103247 0.371862i −0.00737479 0.0265616i
\(197\) 2.81777 25.9090i 0.200758 1.84594i −0.268996 0.963141i \(-0.586692\pi\)
0.469754 0.882797i \(-0.344343\pi\)
\(198\) 0.478676 + 7.75723i 0.0340180 + 0.551283i
\(199\) −22.4179 + 10.3716i −1.58916 + 0.735225i −0.997480 0.0709464i \(-0.977398\pi\)
−0.591682 + 0.806171i \(0.701536\pi\)
\(200\) 8.38565 12.3679i 0.592955 0.874544i
\(201\) −2.41082 14.3693i −0.170046 1.01353i
\(202\) 0.909381 5.54698i 0.0639838 0.390284i
\(203\) 20.8169 3.41275i 1.46106 0.239528i
\(204\) 1.10242 + 1.03649i 0.0771848 + 0.0725688i
\(205\) −0.728021 + 2.62209i −0.0508472 + 0.183135i
\(206\) −18.2021 7.25237i −1.26820 0.505296i
\(207\) 3.53582 + 5.13207i 0.245757 + 0.356703i
\(208\) 6.51447 + 1.80873i 0.451697 + 0.125413i
\(209\) −9.78560 + 3.29715i −0.676884 + 0.228069i
\(210\) −1.22307 + 0.936979i −0.0844001 + 0.0646577i
\(211\) −5.23766 0.858671i −0.360575 0.0591133i −0.0212285 0.999775i \(-0.506758\pi\)
−0.339347 + 0.940661i \(0.610206\pi\)
\(212\) −0.589081 + 1.74833i −0.0404583 + 0.120076i
\(213\) −5.67075 0.595327i −0.388553 0.0407912i
\(214\) 8.35519 + 18.0595i 0.571149 + 1.23452i
\(215\) 1.80183 1.36972i 0.122884 0.0934139i
\(216\) 3.20689 15.3876i 0.218201 1.04699i
\(217\) 5.31497 1.47569i 0.360804 0.100177i
\(218\) 0.757298 0.513461i 0.0512907 0.0347759i
\(219\) −0.169502 + 3.35804i −0.0114539 + 0.226916i
\(220\) 0.182635 + 0.00990220i 0.0123133 + 0.000667606i
\(221\) −3.72728 3.53067i −0.250724 0.237498i
\(222\) −2.17607 + 13.5909i −0.146048 + 0.912163i
\(223\) 22.1134 + 4.86753i 1.48082 + 0.325954i 0.880593 0.473873i \(-0.157145\pi\)
0.600230 + 0.799827i \(0.295076\pi\)
\(224\) −3.76776 + 4.43575i −0.251744 + 0.296376i
\(225\) 12.7547 + 7.54519i 0.850316 + 0.503013i
\(226\) 10.4103 19.6358i 0.692481 1.30616i
\(227\) −1.92783 + 0.424347i −0.127955 + 0.0281649i −0.278486 0.960440i \(-0.589833\pi\)
0.150531 + 0.988605i \(0.451902\pi\)
\(228\) 3.23700 0.187623i 0.214375 0.0124256i
\(229\) −7.64388 12.7042i −0.505122 0.839519i 0.494437 0.869213i \(-0.335374\pi\)
−0.999559 + 0.0296946i \(0.990547\pi\)
\(230\) −0.575443 + 0.305080i −0.0379436 + 0.0201164i
\(231\) 9.27042 + 3.65364i 0.609949 + 0.240392i
\(232\) −15.4668 16.3281i −1.01544 1.07199i
\(233\) −28.1842 + 3.06522i −1.84641 + 0.200809i −0.963312 0.268382i \(-0.913511\pi\)
−0.883096 + 0.469191i \(0.844545\pi\)
\(234\) −1.71959 + 8.09965i −0.112413 + 0.529491i
\(235\) 0.591535i 0.0385875i
\(236\) 2.80885 + 0.287727i 0.182840 + 0.0187294i
\(237\) 13.0076 6.95850i 0.844934 0.452003i
\(238\) −8.00327 + 3.18879i −0.518775 + 0.206699i
\(239\) −2.76425 25.4169i −0.178805 1.64408i −0.648473 0.761238i \(-0.724592\pi\)
0.469669 0.882843i \(-0.344373\pi\)
\(240\) 1.26215 + 0.420028i 0.0814712 + 0.0271127i
\(241\) 3.15337 + 3.71244i 0.203127 + 0.239139i 0.854288 0.519800i \(-0.173994\pi\)
−0.651161 + 0.758939i \(0.725718\pi\)
\(242\) −4.12256 7.77598i −0.265008 0.499859i
\(243\) 15.4275 + 2.23448i 0.989673 + 0.143342i
\(244\) 0.109338 0.236330i 0.00699963 0.0151294i
\(245\) 0.0553826 + 0.251606i 0.00353827 + 0.0160745i
\(246\) 24.5408 0.0915814i 1.56467 0.00583902i
\(247\) −10.9852 + 0.595600i −0.698972 + 0.0378971i
\(248\) −4.48229 3.80730i −0.284626 0.241764i
\(249\) 14.9778 4.21882i 0.949178 0.267357i
\(250\) −1.88594 + 2.48091i −0.119277 + 0.156907i
\(251\) −3.87253 + 4.08819i −0.244432 + 0.258044i −0.836655 0.547730i \(-0.815492\pi\)
0.592223 + 0.805774i \(0.298251\pi\)
\(252\) −2.50492 1.87486i −0.157795 0.118105i
\(253\) 3.60931 + 2.17165i 0.226916 + 0.136531i
\(254\) −12.8172 18.9040i −0.804223 1.18614i
\(255\) −0.697387 0.730741i −0.0436721 0.0457608i
\(256\) 8.45612 + 0.919658i 0.528507 + 0.0574786i
\(257\) −0.573533 0.754470i −0.0357760 0.0470625i 0.777857 0.628441i \(-0.216307\pi\)
−0.813633 + 0.581379i \(0.802514\pi\)
\(258\) −16.2952 12.2916i −1.01450 0.765243i
\(259\) 14.6061 + 9.90315i 0.907576 + 0.615352i
\(260\) 0.184663 + 0.0622201i 0.0114523 + 0.00385873i
\(261\) 15.2178 16.3073i 0.941959 1.00940i
\(262\) −1.87268 11.4228i −0.115694 0.705705i
\(263\) −0.0864905 0.256695i −0.00533323 0.0158285i 0.944954 0.327205i \(-0.106107\pi\)
−0.950287 + 0.311376i \(0.899210\pi\)
\(264\) −2.32250 10.3668i −0.142940 0.638033i
\(265\) 0.455854 1.14411i 0.0280029 0.0702819i
\(266\) −6.83303 + 17.1496i −0.418960 + 1.05151i
\(267\) 5.02708 + 22.4391i 0.307652 + 1.37325i
\(268\) 0.987351 + 2.93035i 0.0603121 + 0.179000i
\(269\) 0.721650 + 4.40187i 0.0439998 + 0.268387i 0.999660 0.0260859i \(-0.00830434\pi\)
−0.955660 + 0.294473i \(0.904856\pi\)
\(270\) −0.418234 + 1.57452i −0.0254529 + 0.0958220i
\(271\) 10.1621 + 3.42401i 0.617303 + 0.207994i 0.610542 0.791984i \(-0.290952\pi\)
0.00676048 + 0.999977i \(0.497848\pi\)
\(272\) 6.15633 + 4.17409i 0.373282 + 0.253092i
\(273\) 8.47521 + 6.39293i 0.512943 + 0.386918i
\(274\) −6.46871 8.50945i −0.390789 0.514075i
\(275\) 9.95753 + 1.08295i 0.600461 + 0.0653041i
\(276\) −0.913171 0.956846i −0.0549664 0.0575953i
\(277\) −11.5521 17.0380i −0.694096 1.02372i −0.997487 0.0708492i \(-0.977429\pi\)
0.303391 0.952866i \(-0.401881\pi\)
\(278\) −10.4813 6.30639i −0.628627 0.378232i
\(279\) 3.49491 4.66941i 0.209235 0.279550i
\(280\) 1.44834 1.52900i 0.0865550 0.0913750i
\(281\) −9.87454 + 12.9897i −0.589066 + 0.774903i −0.989979 0.141213i \(-0.954900\pi\)
0.400914 + 0.916116i \(0.368693\pi\)
\(282\) −5.13476 + 1.44632i −0.305770 + 0.0861270i
\(283\) −0.504107 0.428193i −0.0299661 0.0254534i 0.632278 0.774741i \(-0.282120\pi\)
−0.662244 + 0.749288i \(0.730396\pi\)
\(284\) 1.20835 0.0655146i 0.0717022 0.00388758i
\(285\) −2.16449 + 0.00807742i −0.128213 + 0.000478465i
\(286\) 1.20308 + 5.46564i 0.0711395 + 0.323190i
\(287\) 13.2113 28.5559i 0.779841 1.68560i
\(288\) −0.287291 + 6.14714i −0.0169288 + 0.362223i
\(289\) 5.31729 + 10.0295i 0.312782 + 0.589969i
\(290\) 1.50909 + 1.77663i 0.0886165 + 0.104327i
\(291\) −15.0879 5.02110i −0.884471 0.294342i
\(292\) −0.0771524 0.709404i −0.00451500 0.0415148i
\(293\) −5.08476 + 2.02595i −0.297055 + 0.118357i −0.513904 0.857848i \(-0.671801\pi\)
0.216849 + 0.976205i \(0.430422\pi\)
\(294\) 2.04863 1.09593i 0.119478 0.0639157i
\(295\) −1.86191 0.293306i −0.108405 0.0170769i
\(296\) 18.8145i 1.09357i
\(297\) 10.1198 2.93217i 0.587213 0.170142i
\(298\) 22.8084 2.48057i 1.32126 0.143695i
\(299\) 3.08619 + 3.25805i 0.178479 + 0.188418i
\(300\) −2.92607 1.15322i −0.168937 0.0665811i
\(301\) −23.1207 + 12.2578i −1.33266 + 0.706529i
\(302\) 8.93788 + 14.8549i 0.514317 + 0.854802i
\(303\) −7.60736 + 0.440937i −0.437031 + 0.0253312i
\(304\) 15.5657 3.42626i 0.892752 0.196510i
\(305\) −0.0814230 + 0.153580i −0.00466227 + 0.00879397i
\(306\) −4.63799 + 7.84028i −0.265136 + 0.448199i
\(307\) −20.6078 + 24.2613i −1.17615 + 1.38467i −0.269382 + 0.963033i \(0.586819\pi\)
−0.906766 + 0.421635i \(0.861456\pi\)
\(308\) −2.06532 0.454610i −0.117682 0.0259038i
\(309\) −4.19942 + 26.2280i −0.238897 + 1.49206i
\(310\) 0.442523 + 0.419180i 0.0251336 + 0.0238078i
\(311\) −11.5804 0.627870i −0.656663 0.0356032i −0.277203 0.960811i \(-0.589407\pi\)
−0.379460 + 0.925208i \(0.623890\pi\)
\(312\) 0.570587 11.3040i 0.0323032 0.639965i
\(313\) −27.0781 + 18.3594i −1.53055 + 1.03774i −0.551482 + 0.834187i \(0.685938\pi\)
−0.979065 + 0.203550i \(0.934752\pi\)
\(314\) −3.11553 + 0.865022i −0.175819 + 0.0488160i
\(315\) 1.60196 + 1.34026i 0.0902603 + 0.0755154i
\(316\) −2.49241 + 1.89468i −0.140209 + 0.106584i
\(317\) −1.46383 3.16402i −0.0822169 0.177709i 0.862107 0.506726i \(-0.169145\pi\)
−0.944324 + 0.329017i \(0.893282\pi\)
\(318\) −11.0459 1.15962i −0.619422 0.0650282i
\(319\) 4.81369 14.2865i 0.269515 0.799891i
\(320\) −2.15040 0.352541i −0.120211 0.0197076i
\(321\) 21.4139 16.4049i 1.19521 0.915630i
\(322\) 7.13637 2.40452i 0.397694 0.133999i
\(323\) −11.6619 3.23791i −0.648885 0.180162i
\(324\) −3.30798 + 0.0493823i −0.183777 + 0.00274346i
\(325\) 9.91327 + 3.94981i 0.549889 + 0.219096i
\(326\) −1.54290 + 5.55702i −0.0854533 + 0.307775i
\(327\) −0.903669 0.849625i −0.0499730 0.0469844i
\(328\) −33.1040 + 5.42712i −1.82786 + 0.299663i
\(329\) −1.10649 + 6.74931i −0.0610030 + 0.372102i
\(330\) 0.182192 + 1.08592i 0.0100294 + 0.0597782i
\(331\) 2.21423 3.26574i 0.121705 0.179501i −0.761956 0.647629i \(-0.775761\pi\)
0.883661 + 0.468127i \(0.155071\pi\)
\(332\) −2.99721 + 1.38666i −0.164493 + 0.0761027i
\(333\) 18.6237 1.14922i 1.02057 0.0629767i
\(334\) 3.22881 29.6884i 0.176673 1.62448i
\(335\) −0.552240 1.98899i −0.0301721 0.108670i
\(336\) −13.6152 7.15336i −0.742770 0.390248i
\(337\) 7.66178 12.7340i 0.417364 0.693664i −0.574843 0.818263i \(-0.694937\pi\)
0.992207 + 0.124599i \(0.0397646\pi\)
\(338\) 0.576423 10.6315i 0.0313533 0.578277i
\(339\) −29.0606 7.95195i −1.57836 0.431891i
\(340\) 0.170664 + 0.129736i 0.00925558 + 0.00703591i
\(341\) 0.847437 3.84994i 0.0458913 0.208486i
\(342\) 5.36234 + 18.7688i 0.289962 + 1.01490i
\(343\) 0.913966 + 16.8571i 0.0493495 + 0.910198i
\(344\) 24.6506 + 13.0689i 1.32907 + 0.704630i
\(345\) 0.574117 + 0.670813i 0.0309094 + 0.0361154i
\(346\) 13.4072 + 6.20284i 0.720776 + 0.333467i
\(347\) 21.8820 13.1660i 1.17469 0.706787i 0.211967 0.977277i \(-0.432013\pi\)
0.962723 + 0.270490i \(0.0871856\pi\)
\(348\) −2.64191 + 3.92800i −0.141621 + 0.210563i
\(349\) 14.9695 12.7152i 0.801300 0.680631i −0.150072 0.988675i \(-0.547950\pi\)
0.951372 + 0.308045i \(0.0996746\pi\)
\(350\) 13.0002 12.3145i 0.694891 0.658235i
\(351\) 11.2243 0.125665i 0.599108 0.00670750i
\(352\) 1.53952 + 3.86391i 0.0820568 + 0.205947i
\(353\) −34.7259 −1.84827 −0.924137 0.382061i \(-0.875214\pi\)
−0.924137 + 0.382061i \(0.875214\pi\)
\(354\) 2.00642 + 16.8793i 0.106640 + 0.897124i
\(355\) −0.807823 −0.0428748
\(356\) −1.80639 4.53369i −0.0957384 0.240285i
\(357\) 6.59018 + 9.64213i 0.348790 + 0.510316i
\(358\) 8.75769 8.29572i 0.462858 0.438443i
\(359\) −13.2168 + 11.2265i −0.697557 + 0.592510i −0.924401 0.381421i \(-0.875435\pi\)
0.226845 + 0.973931i \(0.427159\pi\)
\(360\) 0.224240 2.21557i 0.0118185 0.116771i
\(361\) −5.94209 + 3.57524i −0.312742 + 0.188170i
\(362\) 11.6770 + 5.40237i 0.613731 + 0.283942i
\(363\) −9.06473 + 7.75807i −0.475775 + 0.407193i
\(364\) −1.99058 1.05534i −0.104335 0.0553149i
\(365\) 0.0257896 + 0.475660i 0.00134989 + 0.0248972i
\(366\) 1.53222 + 0.331276i 0.0800903 + 0.0173161i
\(367\) 6.59274 29.9511i 0.344138 1.56344i −0.413340 0.910577i \(-0.635638\pi\)
0.757479 0.652860i \(-0.226431\pi\)
\(368\) −5.17587 3.93460i −0.269811 0.205105i
\(369\) −7.39414 32.4369i −0.384923 1.68860i
\(370\) −0.105572 + 1.94717i −0.00548845 + 0.101229i
\(371\) −7.34132 + 12.2014i −0.381142 + 0.633463i
\(372\) −0.575725 + 1.09579i −0.0298500 + 0.0568143i
\(373\) 8.29670 + 29.8820i 0.429587 + 1.54723i 0.789204 + 0.614131i \(0.210493\pi\)
−0.359617 + 0.933100i \(0.617093\pi\)
\(374\) −0.665682 + 6.12085i −0.0344216 + 0.316501i
\(375\) 3.84081 + 1.75958i 0.198339 + 0.0908641i
\(376\) 6.61802 3.06182i 0.341298 0.157901i
\(377\) 9.01347 13.2939i 0.464217 0.684669i
\(378\) 7.71719 17.1826i 0.396929 0.883779i
\(379\) −0.369674 + 2.25491i −0.0189889 + 0.115827i −0.994620 0.103590i \(-0.966967\pi\)
0.975631 + 0.219417i \(0.0704154\pi\)
\(380\) 0.453322 0.0743184i 0.0232549 0.00381245i
\(381\) −21.2087 + 22.5577i −1.08655 + 1.15567i
\(382\) −6.20793 + 22.3590i −0.317625 + 1.14398i
\(383\) 18.8793 + 7.52221i 0.964689 + 0.384367i 0.798679 0.601757i \(-0.205532\pi\)
0.166010 + 0.986124i \(0.446912\pi\)
\(384\) 1.40297 + 12.4670i 0.0715948 + 0.636206i
\(385\) 1.36026 + 0.377674i 0.0693253 + 0.0192481i
\(386\) −11.3291 + 3.81723i −0.576638 + 0.194292i
\(387\) −11.4307 + 25.1990i −0.581057 + 1.28094i
\(388\) 3.33033 + 0.545979i 0.169072 + 0.0277179i
\(389\) 4.78464 14.2003i 0.242591 0.719984i −0.755319 0.655358i \(-0.772518\pi\)
0.997910 0.0646263i \(-0.0205855\pi\)
\(390\) −0.122482 + 1.16669i −0.00620209 + 0.0590776i
\(391\) 2.07304 + 4.48080i 0.104838 + 0.226604i
\(392\) −2.52827 + 1.92194i −0.127697 + 0.0970728i
\(393\) −14.5558 + 5.86258i −0.734241 + 0.295728i
\(394\) −32.0843 + 8.90815i −1.61638 + 0.448786i
\(395\) 1.72986 1.17287i 0.0870386 0.0590136i
\(396\) −2.02235 + 0.954026i −0.101627 + 0.0479416i
\(397\) 11.7691 + 0.638102i 0.590674 + 0.0320254i 0.347054 0.937845i \(-0.387182\pi\)
0.243620 + 0.969871i \(0.421665\pi\)
\(398\) 22.9118 + 21.7033i 1.14847 + 1.08789i
\(399\) 24.7115 + 3.95661i 1.23712 + 0.198078i
\(400\) −15.0985 3.32344i −0.754926 0.166172i
\(401\) −15.6848 + 18.4656i −0.783263 + 0.922129i −0.998518 0.0544291i \(-0.982666\pi\)
0.215254 + 0.976558i \(0.430942\pi\)
\(402\) −15.9150 + 9.65678i −0.793766 + 0.481637i
\(403\) 1.96726 3.71064i 0.0979960 0.184840i
\(404\) 1.57942 0.347656i 0.0785788 0.0172965i
\(405\) 2.20681 + 0.0866358i 0.109657 + 0.00430497i
\(406\) −13.8951 23.0939i −0.689604 1.14613i
\(407\) 11.1424 5.90735i 0.552310 0.292816i
\(408\) 4.56573 11.5847i 0.226037 0.573526i
\(409\) −2.69774 2.84797i −0.133395 0.140823i 0.655876 0.754869i \(-0.272300\pi\)
−0.789270 + 0.614046i \(0.789541\pi\)
\(410\) 3.45649 0.375915i 0.170704 0.0185651i
\(411\) −9.33969 + 11.0791i −0.460693 + 0.546490i
\(412\) 5.63730i 0.277730i
\(413\) 20.6955 + 6.82936i 1.01836 + 0.336051i
\(414\) 4.41919 6.62372i 0.217191 0.325538i
\(415\) 2.04799 0.815992i 0.100532 0.0400555i
\(416\) 0.479106 + 4.40531i 0.0234901 + 0.215988i
\(417\) −5.23618 + 15.7342i −0.256417 + 0.770509i
\(418\) 8.54113 + 10.0554i 0.417760 + 0.491826i
\(419\) −0.922585 1.74018i −0.0450712 0.0850134i 0.859953 0.510373i \(-0.170493\pi\)
−0.905025 + 0.425359i \(0.860148\pi\)
\(420\) −0.380680 0.227117i −0.0185753 0.0110822i
\(421\) 3.94897 8.53555i 0.192461 0.415997i −0.787189 0.616712i \(-0.788464\pi\)
0.979650 + 0.200715i \(0.0643264\pi\)
\(422\) 1.45777 + 6.62272i 0.0709632 + 0.322389i
\(423\) 3.43502 + 6.36391i 0.167016 + 0.309424i
\(424\) 15.1597 0.821933i 0.736218 0.0399166i
\(425\) 8.94765 + 7.60021i 0.434025 + 0.368664i
\(426\) 1.97515 + 7.01222i 0.0956962 + 0.339743i
\(427\) 1.21630 1.60002i 0.0588610 0.0774303i
\(428\) −3.93709 + 4.15634i −0.190307 + 0.200904i
\(429\) 6.87371 3.21131i 0.331866 0.155044i
\(430\) −2.47784 1.49087i −0.119492 0.0718959i
\(431\) 10.8483 + 16.0001i 0.522546 + 0.770698i 0.993786 0.111307i \(-0.0355037\pi\)
−0.471240 + 0.882005i \(0.656193\pi\)
\(432\) −16.0176 + 2.81045i −0.770649 + 0.135218i
\(433\) −11.8254 1.28609i −0.568292 0.0618054i −0.180537 0.983568i \(-0.557784\pi\)
−0.387754 + 0.921763i \(0.626749\pi\)
\(434\) −4.26502 5.61053i −0.204727 0.269314i
\(435\) 1.90299 2.52283i 0.0912415 0.120960i
\(436\) 0.217882 + 0.147728i 0.0104347 + 0.00707488i
\(437\) 10.0256 + 3.37801i 0.479589 + 0.161592i
\(438\) 4.06586 1.38687i 0.194274 0.0662670i
\(439\) 0.0770957 + 0.470263i 0.00367958 + 0.0224444i 0.988602 0.150549i \(-0.0481042\pi\)
−0.984923 + 0.172994i \(0.944656\pi\)
\(440\) −0.480591 1.42634i −0.0229113 0.0679982i
\(441\) −2.05689 2.38525i −0.0979471 0.113583i
\(442\) −2.42793 + 6.09364i −0.115485 + 0.289845i
\(443\) −4.16064 + 10.4424i −0.197678 + 0.496135i −0.994082 0.108630i \(-0.965354\pi\)
0.796404 + 0.604765i \(0.206733\pi\)
\(444\) −3.86426 + 0.865720i −0.183390 + 0.0410853i
\(445\) 1.04025 + 3.08734i 0.0493124 + 0.146354i
\(446\) −4.68030 28.5486i −0.221619 1.35181i
\(447\) −10.0410 29.4371i −0.474923 1.39233i
\(448\) 23.8763 + 8.04486i 1.12805 + 0.380084i
\(449\) 12.1350 + 8.22776i 0.572688 + 0.388292i 0.812878 0.582434i \(-0.197899\pi\)
−0.240190 + 0.970726i \(0.577210\pi\)
\(450\) 2.92365 18.7070i 0.137822 0.881854i
\(451\) −13.6080 17.9011i −0.640777 0.842928i
\(452\) 6.35680 + 0.691344i 0.298999 + 0.0325181i
\(453\) 17.0020 16.2260i 0.798824 0.762362i
\(454\) 1.41535 + 2.08749i 0.0664258 + 0.0979707i
\(455\) 1.28874 + 0.775406i 0.0604168 + 0.0363516i
\(456\) −11.2939 24.1742i −0.528885 1.13206i
\(457\) 21.0721 22.2455i 0.985711 1.04060i −0.0134603 0.999909i \(-0.504285\pi\)
0.999172 0.0406935i \(-0.0129567\pi\)
\(458\) −11.4639 + 15.0806i −0.535675 + 0.704668i
\(459\) 11.7461 + 3.81183i 0.548260 + 0.177921i
\(460\) −0.142821 0.121313i −0.00665906 0.00565626i
\(461\) −2.75506 + 0.149375i −0.128316 + 0.00695709i −0.118185 0.992992i \(-0.537708\pi\)
−0.0101309 + 0.999949i \(0.503225\pi\)
\(462\) −0.0475096 12.7310i −0.00221034 0.592301i
\(463\) 0.722989 + 3.28457i 0.0336002 + 0.152647i 0.990434 0.137989i \(-0.0440640\pi\)
−0.956834 + 0.290636i \(0.906133\pi\)
\(464\) −9.77047 + 21.1185i −0.453582 + 0.980402i
\(465\) 0.423368 0.709624i 0.0196332 0.0329080i
\(466\) 16.9667 + 32.0026i 0.785968 + 1.48249i
\(467\) 8.87181 + 10.4447i 0.410538 + 0.483323i 0.928104 0.372320i \(-0.121438\pi\)
−0.517566 + 0.855643i \(0.673162\pi\)
\(468\) −2.34796 + 0.402947i −0.108535 + 0.0186262i
\(469\) 2.58047 + 23.7270i 0.119155 + 1.09561i
\(470\) −0.702101 + 0.279742i −0.0323855 + 0.0129036i
\(471\) 2.06763 + 3.86503i 0.0952711 + 0.178091i
\(472\) −6.35591 22.3490i −0.292555 1.02870i
\(473\) 18.7021i 0.859925i
\(474\) −14.4105 12.1481i −0.661898 0.557983i
\(475\) 25.0090 2.71989i 1.14749 0.124797i
\(476\) −1.70458 1.79950i −0.0781291 0.0824799i
\(477\) 1.73957 + 14.9558i 0.0796496 + 0.684777i
\(478\) −28.8604 + 15.3008i −1.32004 + 0.699842i
\(479\) −8.75623 14.5530i −0.400083 0.664942i 0.589685 0.807634i \(-0.299252\pi\)
−0.989767 + 0.142691i \(0.954424\pi\)
\(480\) 0.0504495 + 0.870390i 0.00230269 + 0.0397277i
\(481\) 13.1220 2.88838i 0.598313 0.131699i
\(482\) 2.91508 5.49842i 0.132778 0.250446i
\(483\) −5.29579 8.72778i −0.240967 0.397128i
\(484\) 1.63931 1.92994i 0.0745141 0.0877248i
\(485\) −2.20019 0.484297i −0.0999053 0.0219908i
\(486\) −4.64367 19.3678i −0.210641 0.878540i
\(487\) −21.3848 20.2567i −0.969037 0.917920i 0.0276206 0.999618i \(-0.491207\pi\)
−0.996657 + 0.0816983i \(0.973966\pi\)
\(488\) −2.13969 0.116010i −0.0968591 0.00525155i
\(489\) 7.80840 + 0.394140i 0.353108 + 0.0178236i
\(490\) 0.272443 0.184721i 0.0123077 0.00834485i
\(491\) 6.15713 1.70952i 0.277868 0.0771496i −0.125799 0.992056i \(-0.540149\pi\)
0.403666 + 0.914906i \(0.367736\pi\)
\(492\) 2.63789 + 6.54942i 0.118925 + 0.295271i
\(493\) 14.0669 10.6934i 0.633540 0.481605i
\(494\) 5.90193 + 12.7568i 0.265540 + 0.573956i
\(495\) 1.38253 0.562842i 0.0621400 0.0252979i
\(496\) −1.94282 + 5.76610i −0.0872354 + 0.258905i
\(497\) 9.21712 + 1.51107i 0.413444 + 0.0677808i
\(498\) −12.0905 15.7822i −0.541789 0.707217i
\(499\) −10.6239 + 3.57959i −0.475589 + 0.160245i −0.546880 0.837211i \(-0.684185\pi\)
0.0712910 + 0.997456i \(0.477288\pi\)
\(500\) −0.863926 0.239868i −0.0386359 0.0107272i
\(501\) −40.2304 + 4.52729i −1.79736 + 0.202264i
\(502\) 6.68368 + 2.66302i 0.298307 + 0.118856i
\(503\) −0.916759 + 3.30187i −0.0408763 + 0.147223i −0.981172 0.193135i \(-0.938134\pi\)
0.940296 + 0.340358i \(0.110548\pi\)
\(504\) −6.70287 + 24.8598i −0.298569 + 1.10735i
\(505\) −1.06537 + 0.174658i −0.0474081 + 0.00777217i
\(506\) 0.870684 5.31093i 0.0387066 0.236100i
\(507\) −14.2348 + 2.38825i −0.632188 + 0.106066i
\(508\) 3.68764 5.43886i 0.163612 0.241310i
\(509\) −17.3567 + 8.03009i −0.769324 + 0.355927i −0.764972 0.644063i \(-0.777247\pi\)
−0.00435195 + 0.999991i \(0.501385\pi\)
\(510\) −0.537526 + 1.17331i −0.0238020 + 0.0519551i
\(511\) 0.595491 5.47545i 0.0263430 0.242219i
\(512\) −6.78299 24.4301i −0.299769 1.07967i
\(513\) 23.2393 12.6560i 1.02604 0.558776i
\(514\) −0.624261 + 1.03753i −0.0275350 + 0.0457635i
\(515\) −0.203736 + 3.75769i −0.00897768 + 0.165584i
\(516\) 1.54994 5.66428i 0.0682321 0.249356i
\(517\) 3.89121 + 2.95802i 0.171135 + 0.130094i
\(518\) 4.84684 22.0194i 0.212958 0.967477i
\(519\) 4.23206 19.5741i 0.185767 0.859208i
\(520\) −0.0868143 1.60120i −0.00380706 0.0702171i
\(521\) −9.24244 4.90003i −0.404919 0.214674i 0.253485 0.967339i \(-0.418423\pi\)
−0.658404 + 0.752665i \(0.728768\pi\)
\(522\) −26.5520 10.3503i −1.16215 0.453022i
\(523\) −3.35696 1.55309i −0.146789 0.0679120i 0.345119 0.938559i \(-0.387839\pi\)
−0.491909 + 0.870647i \(0.663701\pi\)
\(524\) 2.85362 1.71697i 0.124661 0.0750060i
\(525\) −20.1430 13.5479i −0.879114 0.591277i
\(526\) −0.263772 + 0.224050i −0.0115010 + 0.00976904i
\(527\) 3.35444 3.17749i 0.146122 0.138414i
\(528\) −9.07449 + 6.20221i −0.394916 + 0.269917i
\(529\) 6.91582 + 17.3574i 0.300688 + 0.754669i
\(530\) −1.57353 −0.0683499
\(531\) 21.7342 7.65659i 0.943185 0.332268i
\(532\) −5.31135 −0.230276
\(533\) −8.86719 22.2550i −0.384081 0.963970i
\(534\) 24.2559 16.5784i 1.04965 0.717416i
\(535\) 2.77459 2.62823i 0.119956 0.113628i
\(536\) 19.3941 16.4735i 0.837699 0.711548i
\(537\) −13.5695 9.12662i −0.585567 0.393843i
\(538\) 4.88336 2.93822i 0.210537 0.126676i
\(539\) −1.93205 0.893861i −0.0832193 0.0385013i
\(540\) −0.465369 + 0.0558902i −0.0200263 + 0.00240513i
\(541\) 1.60792 + 0.852464i 0.0691298 + 0.0366503i 0.502615 0.864511i \(-0.332371\pi\)
−0.433485 + 0.901161i \(0.642716\pi\)
\(542\) −0.741749 13.6808i −0.0318609 0.587639i
\(543\) 3.68592 17.0481i 0.158178 0.731603i
\(544\) −1.04799 + 4.76108i −0.0449323 + 0.204129i
\(545\) −0.139896 0.106346i −0.00599249 0.00455537i
\(546\) 3.57984 13.0826i 0.153203 0.559884i
\(547\) 1.60443 29.5920i 0.0686006 1.26526i −0.738258 0.674518i \(-0.764351\pi\)
0.806859 0.590745i \(-0.201166\pi\)
\(548\) 1.58550 2.63512i 0.0677292 0.112567i
\(549\) −0.0158610 2.12508i −0.000676929 0.0906962i
\(550\) −3.42364 12.3309i −0.145985 0.525789i
\(551\) 4.09377 37.6416i 0.174400 1.60358i
\(552\) −4.53331 + 9.89533i −0.192951 + 0.421173i
\(553\) −21.9313 + 10.1465i −0.932614 + 0.431473i
\(554\) −14.7596 + 21.7687i −0.627074 + 0.924865i
\(555\) 2.60711 0.437411i 0.110666 0.0185671i
\(556\) 0.569367 3.47298i 0.0241465 0.147287i
\(557\) −3.57655 + 0.586346i −0.151543 + 0.0248443i −0.237076 0.971491i \(-0.576189\pi\)
0.0855327 + 0.996335i \(0.472741\pi\)
\(558\) −7.19496 1.93995i −0.304587 0.0821246i
\(559\) −5.33050 + 19.1987i −0.225456 + 0.812020i
\(560\) −2.02421 0.806521i −0.0855387 0.0340817i
\(561\) 8.29428 0.933389i 0.350185 0.0394077i
\(562\) 20.0874 + 5.57725i 0.847338 + 0.235262i
\(563\) 27.2133 9.16922i 1.14690 0.386437i 0.319247 0.947672i \(-0.396570\pi\)
0.827657 + 0.561235i \(0.189674\pi\)
\(564\) −0.933379 1.21837i −0.0393023 0.0513028i
\(565\) −4.21231 0.690573i −0.177213 0.0290526i
\(566\) −0.269830 + 0.800828i −0.0113418 + 0.0336613i
\(567\) −25.0172 5.11644i −1.05063 0.214870i
\(568\) −4.18134 9.03782i −0.175445 0.379219i
\(569\) −32.6735 + 24.8378i −1.36975 + 1.04125i −0.376355 + 0.926476i \(0.622823\pi\)
−0.993391 + 0.114778i \(0.963384\pi\)
\(570\) 1.03319 + 2.56524i 0.0432757 + 0.107446i
\(571\) −20.2371 + 5.61881i −0.846897 + 0.235140i −0.663758 0.747947i \(-0.731040\pi\)
−0.183139 + 0.983087i \(0.558626\pi\)
\(572\) −1.33272 + 0.903603i −0.0557236 + 0.0377816i
\(573\) 31.4175 + 1.58584i 1.31248 + 0.0662495i
\(574\) −40.1411 2.17639i −1.67546 0.0908406i
\(575\) −7.45008 7.05709i −0.310690 0.294301i
\(576\) 25.1819 8.69457i 1.04924 0.362274i
\(577\) −4.16392 0.916549i −0.173346 0.0381564i 0.127449 0.991845i \(-0.459321\pi\)
−0.300795 + 0.953689i \(0.597252\pi\)
\(578\) 9.38952 11.0542i 0.390553 0.459794i
\(579\) 8.40718 + 13.8555i 0.349391 + 0.575817i
\(580\) −0.314145 + 0.592540i −0.0130442 + 0.0246039i
\(581\) −24.8935 + 5.47948i −1.03276 + 0.227327i
\(582\) 1.17562 + 20.2826i 0.0487310 + 0.840740i
\(583\) 5.24658 + 8.71988i 0.217291 + 0.361141i
\(584\) −5.18814 + 2.75058i −0.214687 + 0.113820i
\(585\) 1.57966 0.183738i 0.0653109 0.00759662i
\(586\) 4.80926 + 5.07707i 0.198669 + 0.209732i
\(587\) −9.91047 + 1.07783i −0.409049 + 0.0444868i −0.310331 0.950629i \(-0.600440\pi\)
−0.0987183 + 0.995115i \(0.531474\pi\)
\(588\) 0.511078 + 0.430841i 0.0210765 + 0.0177676i
\(589\) 9.90086i 0.407958i
\(590\) 0.532388 + 2.34864i 0.0219181 + 0.0966918i
\(591\) 21.2928 + 39.8028i 0.875868 + 1.63727i
\(592\) −18.0833 + 7.20503i −0.743217 + 0.296125i
\(593\) 4.80058 + 44.1406i 0.197136 + 1.81264i 0.507097 + 0.861889i \(0.330718\pi\)
−0.309961 + 0.950749i \(0.600316\pi\)
\(594\) −8.26600 10.6247i −0.339158 0.435937i
\(595\) 1.07119 + 1.26111i 0.0439147 + 0.0517004i
\(596\) 3.09192 + 5.83199i 0.126650 + 0.238887i
\(597\) 21.9201 36.7411i 0.897128 1.50371i
\(598\) 2.40753 5.20380i 0.0984513 0.212799i
\(599\) −3.90975 17.7622i −0.159748 0.725743i −0.986578 0.163291i \(-0.947789\pi\)
0.826830 0.562452i \(-0.190142\pi\)
\(600\) 0.0965839 + 25.8813i 0.00394302 + 1.05660i
\(601\) −38.9702 + 2.11290i −1.58963 + 0.0861870i −0.827585 0.561341i \(-0.810286\pi\)
−0.762042 + 0.647528i \(0.775803\pi\)
\(602\) 25.4830 + 21.6454i 1.03861 + 0.882202i
\(603\) 17.4911 + 18.1913i 0.712294 + 0.740806i
\(604\) −3.01853 + 3.97081i −0.122822 + 0.161570i
\(605\) −1.16247 + 1.22721i −0.0472613 + 0.0498932i
\(606\) 4.12094 + 8.82075i 0.167402 + 0.358318i
\(607\) 22.0309 + 13.2555i 0.894206 + 0.538026i 0.886907 0.461947i \(-0.152849\pi\)
0.00729887 + 0.999973i \(0.497677\pi\)
\(608\) 5.86238 + 8.64637i 0.237751 + 0.350656i
\(609\) −26.4319 + 25.2254i −1.07107 + 1.02219i
\(610\) 0.220792 + 0.0240126i 0.00893960 + 0.000972240i
\(611\) 3.15144 + 4.14565i 0.127494 + 0.167715i
\(612\) −2.58943 0.404693i −0.104671 0.0163588i
\(613\) −21.9655 14.8930i −0.887177 0.601521i 0.0301983 0.999544i \(-0.490386\pi\)
−0.917375 + 0.398023i \(0.869696\pi\)
\(614\) 38.5417 + 12.9862i 1.55542 + 0.524081i
\(615\) −1.52166 4.46103i −0.0613591 0.179886i
\(616\) 2.81542 + 17.1733i 0.113436 + 0.691932i
\(617\) −10.0925 29.9536i −0.406310 1.20589i −0.934255 0.356607i \(-0.883934\pi\)
0.527944 0.849279i \(-0.322963\pi\)
\(618\) 33.1163 7.41914i 1.33213 0.298441i
\(619\) 8.49729 21.3266i 0.341535 0.857188i −0.653432 0.756985i \(-0.726672\pi\)
0.994967 0.100203i \(-0.0319491\pi\)
\(620\) −0.0649114 + 0.162915i −0.00260690 + 0.00654284i
\(621\) −10.0719 3.88293i −0.404172 0.155817i
\(622\) 4.73124 + 14.0418i 0.189706 + 0.563026i
\(623\) −6.09401 37.1718i −0.244151 1.48926i
\(624\) −11.0832 + 3.78048i −0.443684 + 0.151340i
\(625\) −22.8388 7.69529i −0.913552 0.307812i
\(626\) 34.5966 + 23.4570i 1.38276 + 0.937532i
\(627\) 10.7706 14.2787i 0.430135 0.570238i
\(628\) −0.562980 0.740587i −0.0224653 0.0295526i
\(629\) 14.6951 + 1.59818i 0.585931 + 0.0637238i
\(630\) 0.833195 2.53521i 0.0331953 0.101005i
\(631\) 22.5112 + 33.2015i 0.896156 + 1.32173i 0.946401 + 0.322994i \(0.104690\pi\)
−0.0502447 + 0.998737i \(0.516000\pi\)
\(632\) 22.0758 + 13.2826i 0.878129 + 0.528353i
\(633\) 8.32887 3.89115i 0.331043 0.154659i
\(634\) −3.06315 + 3.23373i −0.121653 + 0.128428i
\(635\) −2.65466 + 3.49214i −0.105347 + 0.138581i
\(636\) −0.866363 3.07578i −0.0343535 0.121963i
\(637\) −1.72858 1.46827i −0.0684890 0.0581751i
\(638\) −19.2333 + 1.04280i −0.761453 + 0.0412848i
\(639\) 8.69080 4.69100i 0.343803 0.185573i
\(640\) 0.382094 + 1.73587i 0.0151036 + 0.0686164i
\(641\) −11.5678 + 25.0034i −0.456900 + 0.987574i 0.533040 + 0.846090i \(0.321049\pi\)
−0.989941 + 0.141484i \(0.954813\pi\)
\(642\) −29.5980 17.6584i −1.16814 0.696922i
\(643\) 0.581679 + 1.09716i 0.0229392 + 0.0432679i 0.894717 0.446634i \(-0.147377\pi\)
−0.871778 + 0.489902i \(0.837033\pi\)
\(644\) 1.40264 + 1.65132i 0.0552718 + 0.0650710i
\(645\) −1.23786 + 3.71966i −0.0487408 + 0.146461i
\(646\) 1.67190 + 15.3729i 0.0657801 + 0.604838i
\(647\) −1.48296 + 0.590863i −0.0583010 + 0.0232292i −0.399106 0.916905i \(-0.630680\pi\)
0.340805 + 0.940134i \(0.389300\pi\)
\(648\) 10.4533 + 25.1379i 0.410645 + 0.987511i
\(649\) 11.2401 10.7813i 0.441211 0.423202i
\(650\) 13.6341i 0.534773i
\(651\) −6.15794 + 7.30476i −0.241349 + 0.286296i
\(652\) −1.64957 + 0.179401i −0.0646020 + 0.00702589i
\(653\) −7.61645 8.04059i −0.298055 0.314652i 0.559717 0.828684i \(-0.310910\pi\)
−0.857771 + 0.514032i \(0.828151\pi\)
\(654\) −0.581078 + 1.47437i −0.0227219 + 0.0576525i
\(655\) −1.96421 + 1.04136i −0.0767480 + 0.0406892i
\(656\) 17.8934 + 29.7390i 0.698619 + 1.16111i
\(657\) −3.03959 4.96754i −0.118586 0.193802i
\(658\) 8.53412 1.87850i 0.332695 0.0732316i
\(659\) −20.6655 + 38.9793i −0.805014 + 1.51842i 0.0493736 + 0.998780i \(0.484278\pi\)
−0.854387 + 0.519637i \(0.826067\pi\)
\(660\) −0.270839 + 0.164338i −0.0105424 + 0.00639686i
\(661\) 23.2269 27.3448i 0.903422 1.06359i −0.0942599 0.995548i \(-0.530048\pi\)
0.997682 0.0680435i \(-0.0216757\pi\)
\(662\) −4.92328 1.08370i −0.191349 0.0421190i
\(663\) 8.78056 + 1.40587i 0.341009 + 0.0545996i
\(664\) 19.7297 + 18.6890i 0.765662 + 0.725273i
\(665\) 3.54042 + 0.191956i 0.137292 + 0.00744373i
\(666\) −10.1714 21.5613i −0.394132 0.835483i
\(667\) −12.7840 + 8.66776i −0.494998 + 0.335617i
\(668\) 8.27884 2.29861i 0.320318 0.0889358i
\(669\) −36.3786 + 14.6521i −1.40648 + 0.566483i
\(670\) −2.09960 + 1.59607i −0.0811145 + 0.0616616i
\(671\) −0.603112 1.30360i −0.0232829 0.0503251i
\(672\) 1.05249 10.0254i 0.0406005 0.386737i
\(673\) 12.0418 35.7389i 0.464179 1.37763i −0.418739 0.908106i \(-0.637528\pi\)
0.882918 0.469527i \(-0.155576\pi\)
\(674\) −18.7375 3.07185i −0.721740 0.118323i
\(675\) −25.6131 + 1.67648i −0.985847 + 0.0645276i
\(676\) 2.90293 0.978110i 0.111651 0.0376196i
\(677\) −21.0348 5.84029i −0.808434 0.224461i −0.161368 0.986894i \(-0.551591\pi\)
−0.647066 + 0.762434i \(0.724004\pi\)
\(678\) 4.30476 + 38.2530i 0.165323 + 1.46910i
\(679\) 24.1978 + 9.64130i 0.928628 + 0.369999i
\(680\) 0.471956 1.69983i 0.0180987 0.0651855i
\(681\) 2.34199 2.49096i 0.0897452 0.0954538i
\(682\) −4.97031 + 0.814841i −0.190323 + 0.0312019i
\(683\) 1.31616 8.02825i 0.0503616 0.307192i −0.949619 0.313407i \(-0.898530\pi\)
0.999981 + 0.00621415i \(0.00197804\pi\)
\(684\) −4.44541 + 3.43197i −0.169975 + 0.131224i
\(685\) −1.15209 + 1.69921i −0.0440192 + 0.0649235i
\(686\) 19.5757 9.05668i 0.747404 0.345786i
\(687\) 23.3469 + 10.6958i 0.890740 + 0.408071i
\(688\) 3.12102 28.6973i 0.118988 1.09408i
\(689\) 2.90054 + 10.4468i 0.110502 + 0.397992i
\(690\) 0.524692 0.998661i 0.0199747 0.0380184i
\(691\) −18.8190 + 31.2774i −0.715909 + 1.18985i 0.258704 + 0.965957i \(0.416704\pi\)
−0.974614 + 0.223894i \(0.928123\pi\)
\(692\) −0.230102 + 4.24398i −0.00874717 + 0.161332i
\(693\) −16.8272 + 3.83585i −0.639213 + 0.145712i
\(694\) −25.9751 19.7458i −0.986001 0.749539i
\(695\) −0.505043 + 2.29443i −0.0191574 + 0.0870328i
\(696\) 38.0751 + 8.23212i 1.44323 + 0.312038i
\(697\) −1.42686 26.3169i −0.0540462 0.996823i
\(698\) −22.1711 11.7544i −0.839188 0.444909i
\(699\) 37.3066 31.9289i 1.41106 1.20766i
\(700\) 4.67578 + 2.16325i 0.176728 + 0.0817631i
\(701\) 26.4398 15.9083i 0.998616 0.600847i 0.0803314 0.996768i \(-0.474402\pi\)
0.918285 + 0.395921i \(0.129575\pi\)
\(702\) −5.45723 13.2628i −0.205970 0.500573i
\(703\) 24.1412 20.5057i 0.910504 0.773389i
\(704\) 13.0724 12.3828i 0.492683 0.466694i
\(705\) 0.578135 + 0.845873i 0.0217738 + 0.0318574i
\(706\) 16.4222 + 41.2166i 0.618058 + 1.55121i
\(707\) 12.4823 0.469447
\(708\) −4.29776 + 2.33378i −0.161520 + 0.0877089i
\(709\) 16.2697 0.611020 0.305510 0.952189i \(-0.401173\pi\)
0.305510 + 0.952189i \(0.401173\pi\)
\(710\) 0.382027 + 0.958815i 0.0143372 + 0.0359837i
\(711\) −11.7995 + 22.6633i −0.442516 + 0.849941i
\(712\) −29.1564 + 27.6184i −1.09268 + 1.03504i
\(713\) −3.07821 + 2.61466i −0.115280 + 0.0979196i
\(714\) 8.32781 12.3818i 0.311660 0.463378i
\(715\) 0.921013 0.554155i 0.0344439 0.0207242i
\(716\) 3.14987 + 1.45729i 0.117716 + 0.0544614i
\(717\) 28.7939 + 33.6435i 1.07533 + 1.25644i
\(718\) 19.5752 + 10.3781i 0.730539 + 0.387308i
\(719\) −2.28858 42.2103i −0.0853496 1.57418i −0.657133 0.753775i \(-0.728231\pi\)
0.571783 0.820405i \(-0.306252\pi\)
\(720\) −2.21534 + 0.632931i −0.0825607 + 0.0235879i
\(721\) 9.35352 42.4935i 0.348343 1.58254i
\(722\) 7.05357 + 5.36198i 0.262507 + 0.199552i
\(723\) −8.13755 2.22670i −0.302639 0.0828120i
\(724\) −0.200407 + 3.69630i −0.00744808 + 0.137372i
\(725\) −18.9349 + 31.4700i −0.703223 + 1.16877i
\(726\) 13.4949 + 7.09018i 0.500844 + 0.263141i
\(727\) −0.450074 1.62102i −0.0166923 0.0601203i 0.954735 0.297458i \(-0.0961389\pi\)
−0.971427 + 0.237338i \(0.923725\pi\)
\(728\) −2.00458 + 18.4318i −0.0742945 + 0.683127i
\(729\) −24.2446 + 11.8828i −0.897947 + 0.440103i
\(730\) 0.552371 0.255554i 0.0204442 0.00945849i
\(731\) −12.3014 + 18.1433i −0.454985 + 0.671053i
\(732\) 0.0746273 + 0.444803i 0.00275831 + 0.0164404i
\(733\) −3.51675 + 21.4512i −0.129894 + 0.792318i 0.838870 + 0.544332i \(0.183217\pi\)
−0.968764 + 0.247986i \(0.920231\pi\)
\(734\) −38.6672 + 6.33916i −1.42723 + 0.233983i
\(735\) −0.325102 0.305659i −0.0119916 0.0112744i
\(736\) 1.14002 4.10600i 0.0420219 0.151349i
\(737\) 15.8454 + 6.31338i 0.583673 + 0.232557i
\(738\) −35.0030 + 24.1159i −1.28848 + 0.887718i
\(739\) 45.0635 + 12.5118i 1.65769 + 0.460254i 0.965272 0.261246i \(-0.0841335\pi\)
0.692414 + 0.721501i \(0.256547\pi\)
\(740\) −0.531674 + 0.179142i −0.0195447 + 0.00658539i
\(741\) 15.1263 11.5880i 0.555679 0.425697i
\(742\) 17.9537 + 2.94337i 0.659102 + 0.108054i
\(743\) 1.29894 3.85511i 0.0476534 0.141430i −0.921184 0.389126i \(-0.872777\pi\)
0.968838 + 0.247696i \(0.0796735\pi\)
\(744\) 10.1306 + 1.06353i 0.371404 + 0.0389908i
\(745\) −1.85023 3.99921i −0.0677872 0.146520i
\(746\) 31.5437 23.9789i 1.15490 0.877931i
\(747\) −17.2944 + 20.6713i −0.632769 + 0.756322i
\(748\) −1.70684 + 0.473903i −0.0624084 + 0.0173276i
\(749\) −36.5738 + 24.7976i −1.33638 + 0.906086i
\(750\) 0.272110 5.39083i 0.00993604 0.196845i
\(751\) −32.8566 1.78143i −1.19895 0.0650054i −0.556181 0.831061i \(-0.687734\pi\)
−0.642774 + 0.766056i \(0.722217\pi\)
\(752\) −5.47720 5.18828i −0.199733 0.189197i
\(753\) 1.54200 9.63076i 0.0561936 0.350964i
\(754\) −20.0412 4.41141i −0.729858 0.160654i
\(755\) 2.15559 2.53776i 0.0784500 0.0923584i
\(756\) 5.41433 + 0.232797i 0.196917 + 0.00846675i
\(757\) −2.94982 + 5.56395i −0.107213 + 0.202225i −0.931314 0.364218i \(-0.881336\pi\)
0.824101 + 0.566443i \(0.191681\pi\)
\(758\) 2.85121 0.627598i 0.103560 0.0227954i
\(759\) −7.28364 + 0.422174i −0.264379 + 0.0153239i
\(760\) −1.94891 3.23912i −0.0706945 0.117495i
\(761\) 0.569004 0.301667i 0.0206264 0.0109354i −0.458063 0.888920i \(-0.651457\pi\)
0.478690 + 0.877984i \(0.341112\pi\)
\(762\) 36.8039 + 14.5051i 1.33326 + 0.525464i
\(763\) 1.39727 + 1.47507i 0.0505844 + 0.0534013i
\(764\) −6.63711 + 0.721829i −0.240122 + 0.0261149i
\(765\) 1.71143 + 0.363343i 0.0618767 + 0.0131367i
\(766\) 25.9654i 0.938170i
\(767\) 14.6114 7.86389i 0.527588 0.283948i
\(768\) −12.9908 + 6.94949i −0.468763 + 0.250768i
\(769\) −37.9809 + 15.1330i −1.36963 + 0.545709i −0.934918 0.354863i \(-0.884528\pi\)
−0.434708 + 0.900572i \(0.643148\pi\)
\(770\) −0.195013 1.79312i −0.00702779 0.0646194i
\(771\) 1.55751 + 0.518322i 0.0560923 + 0.0186669i
\(772\) −2.22672 2.62150i −0.0801415 0.0943499i
\(773\) −13.5134