Properties

Label 57.2.j.b.29.1
Level 57
Weight 2
Character 57.29
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.1
Character \(\chi\) = 57.29
Dual form 57.2.j.b.2.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.448036 - 2.54094i) q^{2} +(-1.71942 + 0.208799i) q^{3} +(-4.37626 + 1.59283i) q^{4} +(0.533860 - 1.46677i) q^{5} +(1.30091 + 4.27539i) q^{6} +(1.49687 - 2.59266i) q^{7} +(3.42787 + 5.93724i) q^{8} +(2.91281 - 0.718027i) q^{9} +O(q^{10})\) \(q+(-0.448036 - 2.54094i) q^{2} +(-1.71942 + 0.208799i) q^{3} +(-4.37626 + 1.59283i) q^{4} +(0.533860 - 1.46677i) q^{5} +(1.30091 + 4.27539i) q^{6} +(1.49687 - 2.59266i) q^{7} +(3.42787 + 5.93724i) q^{8} +(2.91281 - 0.718027i) q^{9} +(-3.96616 - 0.699341i) q^{10} +(-1.05900 + 0.611412i) q^{11} +(7.19204 - 3.65250i) q^{12} +(0.203530 - 0.242558i) q^{13} +(-7.25845 - 2.64186i) q^{14} +(-0.611669 + 2.63346i) q^{15} +(6.41525 - 5.38303i) q^{16} +(5.00468 - 0.882460i) q^{17} +(-3.12951 - 7.07956i) q^{18} +(-0.461268 + 4.33442i) q^{19} +7.26931i q^{20} +(-2.03241 + 4.77042i) q^{21} +(2.02803 + 2.41691i) q^{22} +(-0.211619 - 0.581418i) q^{23} +(-7.13363 - 9.49287i) q^{24} +(1.96382 + 1.64784i) q^{25} +(-0.707514 - 0.408483i) q^{26} +(-4.85841 + 1.84278i) q^{27} +(-2.42104 + 13.7304i) q^{28} +(-0.204862 + 1.16183i) q^{29} +(6.96552 + 0.374329i) q^{30} +(-4.50103 - 2.59867i) q^{31} +(-6.04864 - 5.07541i) q^{32} +(1.69320 - 1.27239i) q^{33} +(-4.48456 - 12.3212i) q^{34} +(-3.00371 - 3.57969i) q^{35} +(-11.6035 + 7.78187i) q^{36} -3.64847i q^{37} +(11.2202 - 0.769925i) q^{38} +(-0.299308 + 0.459555i) q^{39} +(10.5386 - 1.85823i) q^{40} +(-0.118123 + 0.0991172i) q^{41} +(13.0319 + 3.02691i) q^{42} +(8.99072 + 3.27235i) q^{43} +(3.66057 - 4.36249i) q^{44} +(0.501851 - 4.65574i) q^{45} +(-1.38254 + 0.798207i) q^{46} +(-8.03246 - 1.41634i) q^{47} +(-9.90652 + 10.5952i) q^{48} +(-0.981262 - 1.69960i) q^{49} +(3.30720 - 5.72824i) q^{50} +(-8.42088 + 2.56229i) q^{51} +(-0.504348 + 1.38568i) q^{52} +(-2.88328 + 1.04943i) q^{53} +(6.85915 + 11.5193i) q^{54} +(0.331444 + 1.87971i) q^{55} +20.5243 q^{56} +(-0.111912 - 7.54900i) q^{57} +3.04393 q^{58} +(0.468861 + 2.65904i) q^{59} +(-1.51783 - 12.4990i) q^{60} +(-6.47830 + 2.35791i) q^{61} +(-4.58645 + 12.6012i) q^{62} +(2.49850 - 8.62672i) q^{63} +(-1.81179 + 3.13812i) q^{64} +(-0.247119 - 0.428023i) q^{65} +(-3.99168 - 3.73223i) q^{66} +(8.96745 + 1.58120i) q^{67} +(-20.4962 + 11.8335i) q^{68} +(0.485261 + 0.955515i) q^{69} +(-7.75000 + 9.23609i) q^{70} +(12.9496 + 4.71326i) q^{71} +(14.2478 + 14.8327i) q^{72} +(-0.335304 + 0.281354i) q^{73} +(-9.27055 + 1.63465i) q^{74} +(-3.72070 - 2.42328i) q^{75} +(-4.88536 - 19.7033i) q^{76} +3.66082i q^{77} +(1.30180 + 0.554625i) q^{78} +(-0.940136 - 1.12041i) q^{79} +(-4.47082 - 12.2835i) q^{80} +(7.96887 - 4.18295i) q^{81} +(0.304774 + 0.255736i) q^{82} +(-9.46265 - 5.46326i) q^{83} +(1.29589 - 24.1139i) q^{84} +(1.37743 - 7.81181i) q^{85} +(4.28669 - 24.3110i) q^{86} +(0.109654 - 2.04045i) q^{87} +(-7.26019 - 4.19167i) q^{88} +(6.02351 + 5.05433i) q^{89} +(-12.0548 + 0.810768i) q^{90} +(-0.324211 - 0.890763i) q^{91} +(1.85220 + 2.20736i) q^{92} +(8.28176 + 3.52839i) q^{93} +21.0446i q^{94} +(6.11134 + 2.99055i) q^{95} +(11.4599 + 7.46380i) q^{96} +(-18.2890 + 3.22484i) q^{97} +(-3.87893 + 3.25481i) q^{98} +(-2.64564 + 2.54131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.448036 2.54094i −0.316810 1.79672i −0.561888 0.827213i \(-0.689925\pi\)
0.245078 0.969503i \(-0.421186\pi\)
\(3\) −1.71942 + 0.208799i −0.992707 + 0.120550i
\(4\) −4.37626 + 1.59283i −2.18813 + 0.796414i
\(5\) 0.533860 1.46677i 0.238750 0.655959i −0.761223 0.648491i \(-0.775401\pi\)
0.999972 0.00746821i \(-0.00237723\pi\)
\(6\) 1.30091 + 4.27539i 0.531094 + 1.74542i
\(7\) 1.49687 2.59266i 0.565765 0.979934i −0.431213 0.902250i \(-0.641914\pi\)
0.996978 0.0776837i \(-0.0247524\pi\)
\(8\) 3.42787 + 5.93724i 1.21193 + 2.09913i
\(9\) 2.91281 0.718027i 0.970935 0.239342i
\(10\) −3.96616 0.699341i −1.25421 0.221151i
\(11\) −1.05900 + 0.611412i −0.319299 + 0.184348i −0.651080 0.759009i \(-0.725684\pi\)
0.331781 + 0.943356i \(0.392351\pi\)
\(12\) 7.19204 3.65250i 2.07616 1.05439i
\(13\) 0.203530 0.242558i 0.0564491 0.0672734i −0.737081 0.675804i \(-0.763796\pi\)
0.793530 + 0.608531i \(0.208241\pi\)
\(14\) −7.25845 2.64186i −1.93990 0.706067i
\(15\) −0.611669 + 2.63346i −0.157932 + 0.679956i
\(16\) 6.41525 5.38303i 1.60381 1.34576i
\(17\) 5.00468 0.882460i 1.21381 0.214028i 0.470152 0.882585i \(-0.344199\pi\)
0.743660 + 0.668558i \(0.233088\pi\)
\(18\) −3.12951 7.07956i −0.737632 1.66867i
\(19\) −0.461268 + 4.33442i −0.105822 + 0.994385i
\(20\) 7.26931i 1.62547i
\(21\) −2.03241 + 4.77042i −0.443508 + 1.04099i
\(22\) 2.02803 + 2.41691i 0.432377 + 0.515287i
\(23\) −0.211619 0.581418i −0.0441256 0.121234i 0.915673 0.401925i \(-0.131659\pi\)
−0.959798 + 0.280691i \(0.909436\pi\)
\(24\) −7.13363 9.49287i −1.45615 1.93772i
\(25\) 1.96382 + 1.64784i 0.392764 + 0.329568i
\(26\) −0.707514 0.408483i −0.138755 0.0801102i
\(27\) −4.85841 + 1.84278i −0.935002 + 0.354644i
\(28\) −2.42104 + 13.7304i −0.457534 + 2.59481i
\(29\) −0.204862 + 1.16183i −0.0380420 + 0.215747i −0.997903 0.0647299i \(-0.979381\pi\)
0.959861 + 0.280477i \(0.0904925\pi\)
\(30\) 6.96552 + 0.374329i 1.27172 + 0.0683428i
\(31\) −4.50103 2.59867i −0.808409 0.466735i 0.0379939 0.999278i \(-0.487903\pi\)
−0.846403 + 0.532543i \(0.821237\pi\)
\(32\) −6.04864 5.07541i −1.06926 0.897214i
\(33\) 1.69320 1.27239i 0.294748 0.221495i
\(34\) −4.48456 12.3212i −0.769095 2.11307i
\(35\) −3.00371 3.57969i −0.507720 0.605077i
\(36\) −11.6035 + 7.78187i −1.93392 + 1.29698i
\(37\) 3.64847i 0.599805i −0.953970 0.299902i \(-0.903046\pi\)
0.953970 0.299902i \(-0.0969541\pi\)
\(38\) 11.2202 0.769925i 1.82015 0.124898i
\(39\) −0.299308 + 0.459555i −0.0479276 + 0.0735878i
\(40\) 10.5386 1.85823i 1.66629 0.293812i
\(41\) −0.118123 + 0.0991172i −0.0184477 + 0.0154795i −0.651965 0.758249i \(-0.726055\pi\)
0.633517 + 0.773729i \(0.281611\pi\)
\(42\) 13.0319 + 3.02691i 2.01087 + 0.467062i
\(43\) 8.99072 + 3.27235i 1.37107 + 0.499029i 0.919460 0.393185i \(-0.128627\pi\)
0.451613 + 0.892214i \(0.350849\pi\)
\(44\) 3.66057 4.36249i 0.551851 0.657671i
\(45\) 0.501851 4.65574i 0.0748115 0.694036i
\(46\) −1.38254 + 0.798207i −0.203844 + 0.117689i
\(47\) −8.03246 1.41634i −1.17165 0.206594i −0.446244 0.894911i \(-0.647239\pi\)
−0.725410 + 0.688317i \(0.758350\pi\)
\(48\) −9.90652 + 10.5952i −1.42988 + 1.52928i
\(49\) −0.981262 1.69960i −0.140180 0.242799i
\(50\) 3.30720 5.72824i 0.467709 0.810095i
\(51\) −8.42088 + 2.56229i −1.17916 + 0.358793i
\(52\) −0.504348 + 1.38568i −0.0699404 + 0.192160i
\(53\) −2.88328 + 1.04943i −0.396048 + 0.144150i −0.532364 0.846516i \(-0.678696\pi\)
0.136315 + 0.990665i \(0.456474\pi\)
\(54\) 6.85915 + 11.5193i 0.933412 + 1.56758i
\(55\) 0.331444 + 1.87971i 0.0446919 + 0.253460i
\(56\) 20.5243 2.74268
\(57\) −0.111912 7.54900i −0.0148231 0.999890i
\(58\) 3.04393 0.399688
\(59\) 0.468861 + 2.65904i 0.0610405 + 0.346178i 0.999998 + 0.00214403i \(0.000682465\pi\)
−0.938957 + 0.344034i \(0.888206\pi\)
\(60\) −1.51783 12.4990i −0.195951 1.61361i
\(61\) −6.47830 + 2.35791i −0.829462 + 0.301899i −0.721638 0.692271i \(-0.756610\pi\)
−0.107824 + 0.994170i \(0.534388\pi\)
\(62\) −4.58645 + 12.6012i −0.582479 + 1.60035i
\(63\) 2.49850 8.62672i 0.314781 1.08686i
\(64\) −1.81179 + 3.13812i −0.226474 + 0.392265i
\(65\) −0.247119 0.428023i −0.0306514 0.0530898i
\(66\) −3.99168 3.73223i −0.491342 0.459406i
\(67\) 8.96745 + 1.58120i 1.09555 + 0.193175i 0.692081 0.721820i \(-0.256694\pi\)
0.403467 + 0.914994i \(0.367805\pi\)
\(68\) −20.4962 + 11.8335i −2.48552 + 1.43502i
\(69\) 0.485261 + 0.955515i 0.0584186 + 0.115031i
\(70\) −7.75000 + 9.23609i −0.926302 + 1.10392i
\(71\) 12.9496 + 4.71326i 1.53683 + 0.559360i 0.965282 0.261208i \(-0.0841209\pi\)
0.571548 + 0.820569i \(0.306343\pi\)
\(72\) 14.2478 + 14.8327i 1.67912 + 1.74805i
\(73\) −0.335304 + 0.281354i −0.0392444 + 0.0329300i −0.662199 0.749328i \(-0.730377\pi\)
0.622954 + 0.782258i \(0.285932\pi\)
\(74\) −9.27055 + 1.63465i −1.07768 + 0.190024i
\(75\) −3.72070 2.42328i −0.429629 0.279817i
\(76\) −4.88536 19.7033i −0.560390 2.26012i
\(77\) 3.66082i 0.417190i
\(78\) 1.30180 + 0.554625i 0.147400 + 0.0627990i
\(79\) −0.940136 1.12041i −0.105774 0.126056i 0.710560 0.703636i \(-0.248442\pi\)
−0.816334 + 0.577580i \(0.803997\pi\)
\(80\) −4.47082 12.2835i −0.499852 1.37333i
\(81\) 7.96887 4.18295i 0.885430 0.464772i
\(82\) 0.304774 + 0.255736i 0.0336567 + 0.0282413i
\(83\) −9.46265 5.46326i −1.03866 0.599671i −0.119207 0.992869i \(-0.538035\pi\)
−0.919454 + 0.393198i \(0.871369\pi\)
\(84\) 1.29589 24.1139i 0.141393 2.63104i
\(85\) 1.37743 7.81181i 0.149404 0.847310i
\(86\) 4.28669 24.3110i 0.462246 2.62153i
\(87\) 0.109654 2.04045i 0.0117562 0.218759i
\(88\) −7.26019 4.19167i −0.773939 0.446834i
\(89\) 6.02351 + 5.05433i 0.638491 + 0.535758i 0.903554 0.428473i \(-0.140948\pi\)
−0.265063 + 0.964231i \(0.585393\pi\)
\(90\) −12.0548 + 0.810768i −1.27069 + 0.0854624i
\(91\) −0.324211 0.890763i −0.0339866 0.0933773i
\(92\) 1.85220 + 2.20736i 0.193105 + 0.230134i
\(93\) 8.28176 + 3.52839i 0.858779 + 0.365877i
\(94\) 21.0446i 2.17058i
\(95\) 6.11134 + 2.99055i 0.627011 + 0.306824i
\(96\) 11.4599 + 7.46380i 1.16962 + 0.761771i
\(97\) −18.2890 + 3.22484i −1.85697 + 0.327433i −0.986367 0.164561i \(-0.947379\pi\)
−0.870599 + 0.491994i \(0.836268\pi\)
\(98\) −3.87893 + 3.25481i −0.391831 + 0.328786i
\(99\) −2.64564 + 2.54131i −0.265897 + 0.255411i
\(100\) −11.2189 4.08335i −1.12189 0.408335i
\(101\) −9.92594 + 11.8293i −0.987668 + 1.17706i −0.00346803 + 0.999994i \(0.501104\pi\)
−0.984200 + 0.177062i \(0.943341\pi\)
\(102\) 10.2835 + 20.2490i 1.01822 + 2.00495i
\(103\) 6.42425 3.70904i 0.633000 0.365463i −0.148913 0.988850i \(-0.547577\pi\)
0.781913 + 0.623387i \(0.214244\pi\)
\(104\) 2.13780 + 0.376951i 0.209628 + 0.0369631i
\(105\) 5.91208 + 5.52781i 0.576960 + 0.539459i
\(106\) 3.95834 + 6.85605i 0.384468 + 0.665919i
\(107\) −6.82023 + 11.8130i −0.659337 + 1.14200i 0.321451 + 0.946926i \(0.395829\pi\)
−0.980788 + 0.195078i \(0.937504\pi\)
\(108\) 18.3264 15.8031i 1.76346 1.52065i
\(109\) −0.443482 + 1.21846i −0.0424778 + 0.116707i −0.959118 0.283007i \(-0.908668\pi\)
0.916640 + 0.399714i \(0.130890\pi\)
\(110\) 4.62773 1.68436i 0.441237 0.160597i
\(111\) 0.761799 + 6.27325i 0.0723067 + 0.595431i
\(112\) −4.35356 24.6903i −0.411373 2.33301i
\(113\) 6.86179 0.645503 0.322752 0.946484i \(-0.395392\pi\)
0.322752 + 0.946484i \(0.395392\pi\)
\(114\) −19.1314 + 3.66659i −1.79182 + 0.343408i
\(115\) −0.965781 −0.0900595
\(116\) −0.954068 5.41079i −0.0885830 0.502379i
\(117\) 0.418680 0.852664i 0.0387070 0.0788288i
\(118\) 6.54641 2.38270i 0.602646 0.219345i
\(119\) 5.20345 14.2964i 0.477000 1.31055i
\(120\) −17.7322 + 5.39552i −1.61872 + 0.492542i
\(121\) −4.75235 + 8.23131i −0.432032 + 0.748301i
\(122\) 8.89382 + 15.4046i 0.805209 + 1.39466i
\(123\) 0.182408 0.195088i 0.0164472 0.0175905i
\(124\) 23.8369 + 4.20309i 2.14062 + 0.377449i
\(125\) 10.2243 5.90301i 0.914490 0.527981i
\(126\) −23.0394 2.48346i −2.05251 0.221244i
\(127\) −2.00315 + 2.38726i −0.177751 + 0.211835i −0.847562 0.530696i \(-0.821931\pi\)
0.669811 + 0.742531i \(0.266375\pi\)
\(128\) −6.05398 2.20347i −0.535101 0.194761i
\(129\) −16.1421 3.74929i −1.42123 0.330107i
\(130\) −0.976864 + 0.819686i −0.0856766 + 0.0718912i
\(131\) 3.61069 0.636662i 0.315467 0.0556254i −0.0136728 0.999907i \(-0.504352\pi\)
0.329140 + 0.944281i \(0.393241\pi\)
\(132\) −5.38316 + 8.26528i −0.468544 + 0.719400i
\(133\) 10.5472 + 7.68400i 0.914561 + 0.666287i
\(134\) 23.4942i 2.02959i
\(135\) 0.109224 + 8.10995i 0.00940049 + 0.697994i
\(136\) 22.3947 + 26.6890i 1.92033 + 2.28856i
\(137\) −5.40504 14.8502i −0.461784 1.26874i −0.924143 0.382048i \(-0.875219\pi\)
0.462359 0.886693i \(-0.347003\pi\)
\(138\) 2.21049 1.66113i 0.188170 0.141404i
\(139\) −5.59691 4.69637i −0.474724 0.398341i 0.373790 0.927513i \(-0.378058\pi\)
−0.848514 + 0.529173i \(0.822502\pi\)
\(140\) 18.8469 + 10.8812i 1.59285 + 0.919632i
\(141\) 14.1069 + 0.758108i 1.18801 + 0.0638442i
\(142\) 6.17423 35.0158i 0.518130 2.93846i
\(143\) −0.0672349 + 0.381308i −0.00562247 + 0.0318866i
\(144\) 14.8212 20.2860i 1.23510 1.69050i
\(145\) 1.59477 + 0.920741i 0.132439 + 0.0764634i
\(146\) 0.865132 + 0.725932i 0.0715988 + 0.0600786i
\(147\) 2.04208 + 2.71743i 0.168428 + 0.224130i
\(148\) 5.81139 + 15.9667i 0.477693 + 1.31245i
\(149\) 3.59311 + 4.28210i 0.294359 + 0.350803i 0.892873 0.450309i \(-0.148686\pi\)
−0.598514 + 0.801113i \(0.704242\pi\)
\(150\) −4.49041 + 10.5398i −0.366641 + 0.860570i
\(151\) 19.1657i 1.55968i −0.625980 0.779839i \(-0.715301\pi\)
0.625980 0.779839i \(-0.284699\pi\)
\(152\) −27.3157 + 12.1192i −2.21559 + 0.982994i
\(153\) 13.9440 6.16393i 1.12731 0.498324i
\(154\) 9.30194 1.64018i 0.749572 0.132170i
\(155\) −6.21457 + 5.21465i −0.499167 + 0.418850i
\(156\) 0.577855 2.48788i 0.0462654 0.199190i
\(157\) −13.5243 4.92243i −1.07935 0.392853i −0.259687 0.965693i \(-0.583619\pi\)
−0.819667 + 0.572840i \(0.805842\pi\)
\(158\) −2.42568 + 2.89081i −0.192977 + 0.229981i
\(159\) 4.73844 2.40643i 0.375783 0.190842i
\(160\) −10.6736 + 6.16239i −0.843820 + 0.487180i
\(161\) −1.82419 0.321653i −0.143766 0.0253498i
\(162\) −14.1990 18.3743i −1.11558 1.44362i
\(163\) −0.951823 1.64861i −0.0745525 0.129129i 0.826339 0.563173i \(-0.190420\pi\)
−0.900892 + 0.434044i \(0.857086\pi\)
\(164\) 0.359061 0.621912i 0.0280380 0.0485632i
\(165\) −0.962373 3.16281i −0.0749206 0.246224i
\(166\) −9.64222 + 26.4918i −0.748381 + 2.05616i
\(167\) 12.4088 4.51642i 0.960220 0.349491i 0.186100 0.982531i \(-0.440415\pi\)
0.774120 + 0.633039i \(0.218193\pi\)
\(168\) −35.2899 + 4.28547i −2.72268 + 0.330631i
\(169\) 2.24002 + 12.7038i 0.172309 + 0.977213i
\(170\) −20.4665 −1.56971
\(171\) 1.76865 + 12.9565i 0.135252 + 0.990811i
\(172\) −44.5580 −3.39752
\(173\) −2.37910 13.4925i −0.180880 1.02582i −0.931136 0.364672i \(-0.881181\pi\)
0.750256 0.661147i \(-0.229930\pi\)
\(174\) −5.23380 + 0.635571i −0.396773 + 0.0481825i
\(175\) 7.21188 2.62491i 0.545167 0.198424i
\(176\) −3.50247 + 9.62296i −0.264009 + 0.725358i
\(177\) −1.36138 4.47411i −0.102327 0.336295i
\(178\) 10.1440 17.5699i 0.760325 1.31692i
\(179\) −9.56990 16.5756i −0.715288 1.23892i −0.962848 0.270043i \(-0.912962\pi\)
0.247560 0.968873i \(-0.420371\pi\)
\(180\) 5.21956 + 21.1741i 0.389043 + 1.57822i
\(181\) 6.05191 + 1.06712i 0.449835 + 0.0793181i 0.393976 0.919121i \(-0.371099\pi\)
0.0558589 + 0.998439i \(0.482210\pi\)
\(182\) −2.11812 + 1.22290i −0.157005 + 0.0906471i
\(183\) 10.6466 5.40690i 0.787018 0.399690i
\(184\) 2.72662 3.24946i 0.201009 0.239553i
\(185\) −5.35146 1.94777i −0.393447 0.143203i
\(186\) 5.25491 22.6243i 0.385309 1.65890i
\(187\) −4.76039 + 3.99444i −0.348114 + 0.292102i
\(188\) 37.4081 6.59606i 2.72827 0.481067i
\(189\) −2.49472 + 15.3546i −0.181464 + 1.11688i
\(190\) 4.86070 16.8684i 0.352633 1.22377i
\(191\) 26.3867i 1.90927i 0.297773 + 0.954637i \(0.403756\pi\)
−0.297773 + 0.954637i \(0.596244\pi\)
\(192\) 2.45999 5.77404i 0.177535 0.416705i
\(193\) −5.01339 5.97472i −0.360871 0.430070i 0.554809 0.831978i \(-0.312792\pi\)
−0.915680 + 0.401908i \(0.868347\pi\)
\(194\) 16.3883 + 45.0264i 1.17661 + 3.23271i
\(195\) 0.514273 + 0.684353i 0.0368279 + 0.0490076i
\(196\) 7.00142 + 5.87489i 0.500102 + 0.419635i
\(197\) −20.9467 12.0936i −1.49239 0.861630i −0.492426 0.870355i \(-0.663890\pi\)
−0.999962 + 0.00872425i \(0.997223\pi\)
\(198\) 7.64267 + 5.58381i 0.543141 + 0.396824i
\(199\) −0.711595 + 4.03566i −0.0504437 + 0.286080i −0.999586 0.0287666i \(-0.990842\pi\)
0.949142 + 0.314847i \(0.101953\pi\)
\(200\) −3.05191 + 17.3082i −0.215803 + 1.22388i
\(201\) −15.7490 0.846353i −1.11085 0.0596972i
\(202\) 34.5047 + 19.9213i 2.42774 + 1.40166i
\(203\) 2.70558 + 2.27025i 0.189895 + 0.159341i
\(204\) 32.7707 24.6263i 2.29441 1.72418i
\(205\) 0.0823207 + 0.226174i 0.00574952 + 0.0157967i
\(206\) −12.3028 14.6619i −0.857174 1.02154i
\(207\) −1.03388 1.54161i −0.0718595 0.107149i
\(208\) 2.65168i 0.183861i
\(209\) −2.16164 4.87216i −0.149524 0.337015i
\(210\) 11.3970 17.4989i 0.786468 1.20754i
\(211\) 9.83078 1.73343i 0.676779 0.119334i 0.175314 0.984512i \(-0.443906\pi\)
0.501465 + 0.865178i \(0.332795\pi\)
\(212\) 10.9464 9.18513i 0.751802 0.630837i
\(213\) −23.2499 5.40020i −1.59305 0.370016i
\(214\) 33.0718 + 12.0372i 2.26074 + 0.822843i
\(215\) 9.59958 11.4403i 0.654686 0.780224i
\(216\) −27.5950 22.5287i −1.87760 1.53289i
\(217\) −13.4750 + 7.77977i −0.914740 + 0.528125i
\(218\) 3.29472 + 0.580948i 0.223147 + 0.0393468i
\(219\) 0.517782 0.553777i 0.0349885 0.0374208i
\(220\) −4.44454 7.69817i −0.299651 0.519010i
\(221\) 0.804555 1.39353i 0.0541202 0.0937390i
\(222\) 15.5986 4.74633i 1.04691 0.318553i
\(223\) 3.65141 10.0322i 0.244516 0.671803i −0.755348 0.655324i \(-0.772532\pi\)
0.999864 0.0164789i \(-0.00524564\pi\)
\(224\) −22.2129 + 8.08482i −1.48416 + 0.540190i
\(225\) 6.90342 + 3.38976i 0.460228 + 0.225984i
\(226\) −3.07433 17.4354i −0.204502 1.15979i
\(227\) 0.519141 0.0344566 0.0172283 0.999852i \(-0.494516\pi\)
0.0172283 + 0.999852i \(0.494516\pi\)
\(228\) 12.5140 + 32.8581i 0.828761 + 2.17608i
\(229\) −3.84464 −0.254061 −0.127030 0.991899i \(-0.540545\pi\)
−0.127030 + 0.991899i \(0.540545\pi\)
\(230\) 0.432705 + 2.45399i 0.0285317 + 0.161811i
\(231\) −0.764378 6.29449i −0.0502924 0.414147i
\(232\) −7.60031 + 2.76629i −0.498985 + 0.181616i
\(233\) −6.29055 + 17.2831i −0.412107 + 1.13226i 0.543960 + 0.839111i \(0.316924\pi\)
−0.956068 + 0.293145i \(0.905298\pi\)
\(234\) −2.35415 0.681818i −0.153896 0.0445718i
\(235\) −6.36565 + 11.0256i −0.415249 + 0.719233i
\(236\) −6.28726 10.8899i −0.409266 0.708869i
\(237\) 1.85043 + 1.73016i 0.120198 + 0.112386i
\(238\) −38.6576 6.81637i −2.50580 0.441840i
\(239\) 14.2757 8.24205i 0.923415 0.533134i 0.0386922 0.999251i \(-0.487681\pi\)
0.884723 + 0.466117i \(0.154347\pi\)
\(240\) 10.2520 + 20.1869i 0.661763 + 1.30306i
\(241\) −7.68280 + 9.15600i −0.494893 + 0.589790i −0.954455 0.298356i \(-0.903562\pi\)
0.459562 + 0.888146i \(0.348006\pi\)
\(242\) 23.0445 + 8.38752i 1.48136 + 0.539170i
\(243\) −12.8284 + 8.85614i −0.822945 + 0.568122i
\(244\) 24.5950 20.6376i 1.57453 1.32119i
\(245\) −3.01677 + 0.531938i −0.192734 + 0.0339843i
\(246\) −0.577432 0.376081i −0.0368157 0.0239780i
\(247\) 0.957466 + 0.994070i 0.0609221 + 0.0632511i
\(248\) 35.6316i 2.26261i
\(249\) 17.4110 + 7.41784i 1.10338 + 0.470087i
\(250\) −19.5801 23.3346i −1.23835 1.47581i
\(251\) 3.07435 + 8.44670i 0.194051 + 0.533151i 0.998114 0.0613939i \(-0.0195546\pi\)
−0.804063 + 0.594545i \(0.797332\pi\)
\(252\) 2.80679 + 41.7324i 0.176811 + 2.62890i
\(253\) 0.579589 + 0.486333i 0.0364385 + 0.0305755i
\(254\) 6.96338 + 4.02031i 0.436921 + 0.252257i
\(255\) −0.737284 + 13.7194i −0.0461705 + 0.859141i
\(256\) −4.14494 + 23.5071i −0.259059 + 1.46919i
\(257\) −2.19345 + 12.4397i −0.136824 + 0.775965i 0.836749 + 0.547587i \(0.184453\pi\)
−0.973572 + 0.228378i \(0.926658\pi\)
\(258\) −2.29449 + 42.6959i −0.142849 + 2.65813i
\(259\) −9.45925 5.46130i −0.587769 0.339349i
\(260\) 1.76323 + 1.47952i 0.109351 + 0.0917561i
\(261\) 0.237503 + 3.53129i 0.0147011 + 0.218581i
\(262\) −3.23544 8.88930i −0.199886 0.549183i
\(263\) −0.255221 0.304161i −0.0157376 0.0187553i 0.758118 0.652117i \(-0.226119\pi\)
−0.773856 + 0.633362i \(0.781675\pi\)
\(264\) 13.3585 + 5.69132i 0.822161 + 0.350277i
\(265\) 4.78935i 0.294207i
\(266\) 14.7990 30.2426i 0.907387 1.85429i
\(267\) −11.4123 7.43280i −0.698421 0.454880i
\(268\) −41.7625 + 7.36385i −2.55105 + 0.449819i
\(269\) 14.7929 12.4127i 0.901936 0.756814i −0.0686317 0.997642i \(-0.521863\pi\)
0.970568 + 0.240828i \(0.0774189\pi\)
\(270\) 20.5580 3.91109i 1.25112 0.238021i
\(271\) −0.628030 0.228584i −0.0381501 0.0138855i 0.322875 0.946442i \(-0.395351\pi\)
−0.361025 + 0.932556i \(0.617573\pi\)
\(272\) 27.3559 32.6015i 1.65870 1.97676i
\(273\) 0.743446 + 1.46390i 0.0449954 + 0.0885992i
\(274\) −35.3119 + 20.3873i −2.13327 + 1.23164i
\(275\) −3.08718 0.544354i −0.186164 0.0328258i
\(276\) −3.64560 3.40865i −0.219439 0.205176i
\(277\) 9.43326 + 16.3389i 0.566790 + 0.981709i 0.996881 + 0.0789232i \(0.0251482\pi\)
−0.430091 + 0.902786i \(0.641518\pi\)
\(278\) −9.42557 + 16.3256i −0.565308 + 0.979143i
\(279\) −14.9766 4.33756i −0.896623 0.259683i
\(280\) 10.9571 30.1045i 0.654813 1.79909i
\(281\) −12.1777 + 4.43233i −0.726463 + 0.264411i −0.678667 0.734446i \(-0.737442\pi\)
−0.0477960 + 0.998857i \(0.515220\pi\)
\(282\) −4.39409 36.1844i −0.261665 2.15475i
\(283\) −2.29514 13.0164i −0.136432 0.773742i −0.973852 0.227183i \(-0.927048\pi\)
0.837420 0.546559i \(-0.184063\pi\)
\(284\) −64.1780 −3.80827
\(285\) −11.1324 3.86596i −0.659426 0.229000i
\(286\) 0.999006 0.0590724
\(287\) 0.0801617 + 0.454619i 0.00473179 + 0.0268353i
\(288\) −21.2628 10.4406i −1.25292 0.615218i
\(289\) 8.29328 3.01851i 0.487840 0.177559i
\(290\) 1.62503 4.46474i 0.0954253 0.262179i
\(291\) 30.7731 9.36359i 1.80395 0.548903i
\(292\) 1.01923 1.76536i 0.0596460 0.103310i
\(293\) −2.19757 3.80631i −0.128384 0.222367i 0.794667 0.607046i \(-0.207646\pi\)
−0.923051 + 0.384679i \(0.874312\pi\)
\(294\) 5.98991 6.40630i 0.349339 0.373623i
\(295\) 4.15051 + 0.731847i 0.241652 + 0.0426098i
\(296\) 21.6618 12.5065i 1.25907 0.726924i
\(297\) 4.01834 4.92199i 0.233168 0.285603i
\(298\) 9.27072 11.0484i 0.537038 0.640017i
\(299\) −0.184098 0.0670063i −0.0106467 0.00387507i
\(300\) 20.1426 + 4.67849i 1.16293 + 0.270112i
\(301\) 21.9421 18.4116i 1.26472 1.06123i
\(302\) −48.6988 + 8.58691i −2.80230 + 0.494121i
\(303\) 14.5969 22.4120i 0.838570 1.28754i
\(304\) 20.3732 + 30.2894i 1.16848 + 1.73722i
\(305\) 10.7610i 0.616171i
\(306\) −21.9096 32.6693i −1.25249 1.86758i
\(307\) 15.1110 + 18.0086i 0.862431 + 1.02781i 0.999307 + 0.0372172i \(0.0118493\pi\)
−0.136876 + 0.990588i \(0.543706\pi\)
\(308\) −5.83106 16.0207i −0.332256 0.912865i
\(309\) −10.2715 + 7.71878i −0.584327 + 0.439106i
\(310\) 16.0345 + 13.4545i 0.910696 + 0.764165i
\(311\) 8.52818 + 4.92375i 0.483589 + 0.279200i 0.721911 0.691986i \(-0.243264\pi\)
−0.238322 + 0.971186i \(0.576597\pi\)
\(312\) −3.75448 0.201767i −0.212555 0.0114228i
\(313\) −1.00653 + 5.70833i −0.0568926 + 0.322654i −0.999950 0.00997537i \(-0.996825\pi\)
0.943058 + 0.332629i \(0.107936\pi\)
\(314\) −6.44824 + 36.5698i −0.363895 + 2.06375i
\(315\) −11.3195 8.27018i −0.637784 0.465972i
\(316\) 5.89890 + 3.40573i 0.331839 + 0.191587i
\(317\) 4.09664 + 3.43749i 0.230090 + 0.193069i 0.750543 0.660822i \(-0.229792\pi\)
−0.520452 + 0.853891i \(0.674237\pi\)
\(318\) −8.23759 10.9619i −0.461941 0.614714i
\(319\) −0.493409 1.35563i −0.0276256 0.0759007i
\(320\) 3.63565 + 4.33280i 0.203239 + 0.242211i
\(321\) 9.26029 21.7355i 0.516859 1.21316i
\(322\) 4.77926i 0.266338i
\(323\) 1.51646 + 22.0994i 0.0843779 + 1.22965i
\(324\) −28.2111 + 30.9987i −1.56729 + 1.72215i
\(325\) 0.799392 0.140954i 0.0443423 0.00781875i
\(326\) −3.76256 + 3.15716i −0.208389 + 0.174859i
\(327\) 0.508118 2.18764i 0.0280990 0.120977i
\(328\) −0.993393 0.361565i −0.0548509 0.0199641i
\(329\) −15.6957 + 18.7054i −0.865330 + 1.03126i
\(330\) −7.60532 + 3.86239i −0.418659 + 0.212617i
\(331\) −4.46270 + 2.57654i −0.245292 + 0.141620i −0.617607 0.786487i \(-0.711898\pi\)
0.372314 + 0.928107i \(0.378564\pi\)
\(332\) 50.1130 + 8.83628i 2.75031 + 0.484954i
\(333\) −2.61970 10.6273i −0.143559 0.582372i
\(334\) −17.0355 29.5064i −0.932144 1.61452i
\(335\) 7.10662 12.3090i 0.388276 0.672514i
\(336\) 12.6409 + 41.5439i 0.689618 + 2.26641i
\(337\) 10.8959 29.9364i 0.593540 1.63074i −0.170344 0.985385i \(-0.554488\pi\)
0.763884 0.645353i \(-0.223290\pi\)
\(338\) 31.2759 11.3835i 1.70119 0.619181i
\(339\) −11.7983 + 1.43274i −0.640796 + 0.0778157i
\(340\) 6.41487 + 36.3805i 0.347895 + 1.97301i
\(341\) 6.35543 0.344166
\(342\) 32.1294 10.2990i 1.73736 0.556908i
\(343\) 15.0809 0.814294
\(344\) 11.3902 + 64.5973i 0.614121 + 3.48285i
\(345\) 1.66058 0.201654i 0.0894027 0.0108567i
\(346\) −33.2178 + 12.0903i −1.78580 + 0.649979i
\(347\) 4.16813 11.4518i 0.223757 0.614767i −0.776118 0.630588i \(-0.782814\pi\)
0.999875 + 0.0158208i \(0.00503613\pi\)
\(348\) 2.77021 + 9.10420i 0.148499 + 0.488037i
\(349\) 7.60525 13.1727i 0.407100 0.705117i −0.587464 0.809250i \(-0.699874\pi\)
0.994563 + 0.104133i \(0.0332069\pi\)
\(350\) −9.90092 17.1489i −0.529227 0.916647i
\(351\) −0.541852 + 1.55351i −0.0289219 + 0.0829200i
\(352\) 9.50864 + 1.67663i 0.506812 + 0.0893647i
\(353\) 11.6828 6.74506i 0.621812 0.359003i −0.155762 0.987795i \(-0.549783\pi\)
0.777574 + 0.628791i \(0.216450\pi\)
\(354\) −10.7585 + 5.46374i −0.571809 + 0.290395i
\(355\) 13.8265 16.4778i 0.733835 0.874550i
\(356\) −34.4111 12.5246i −1.82379 0.663804i
\(357\) −5.96184 + 25.6679i −0.315534 + 1.35849i
\(358\) −37.8299 + 31.7430i −1.99937 + 1.67767i
\(359\) −17.2391 + 3.03973i −0.909847 + 0.160431i −0.608934 0.793221i \(-0.708403\pi\)
−0.300913 + 0.953652i \(0.597291\pi\)
\(360\) 29.3625 12.9796i 1.54754 0.684087i
\(361\) −18.5745 3.99866i −0.977603 0.210456i
\(362\) 15.8557i 0.833355i
\(363\) 6.45259 15.1454i 0.338673 0.794926i
\(364\) 2.83766 + 3.38180i 0.148734 + 0.177254i
\(365\) 0.233675 + 0.642018i 0.0122311 + 0.0336047i
\(366\) −18.5087 24.6299i −0.967464 1.28742i
\(367\) −0.400474 0.336037i −0.0209046 0.0175410i 0.632275 0.774744i \(-0.282121\pi\)
−0.653180 + 0.757203i \(0.726566\pi\)
\(368\) −4.48738 2.59079i −0.233921 0.135054i
\(369\) −0.272901 + 0.373525i −0.0142067 + 0.0194449i
\(370\) −2.55153 + 14.4704i −0.132648 + 0.752281i
\(371\) −1.59509 + 9.04622i −0.0828131 + 0.469656i
\(372\) −41.8633 2.24974i −2.17051 0.116644i
\(373\) 2.06421 + 1.19177i 0.106881 + 0.0617078i 0.552488 0.833521i \(-0.313679\pi\)
−0.445607 + 0.895229i \(0.647012\pi\)
\(374\) 12.2825 + 10.3062i 0.635111 + 0.532921i
\(375\) −16.3473 + 12.2846i −0.844173 + 0.634373i
\(376\) −19.1251 52.5456i −0.986299 2.70983i
\(377\) 0.240116 + 0.286159i 0.0123666 + 0.0147379i
\(378\) 40.1329 0.540505i 2.06421 0.0278006i
\(379\) 18.6924i 0.960166i 0.877223 + 0.480083i \(0.159393\pi\)
−0.877223 + 0.480083i \(0.840607\pi\)
\(380\) −31.5083 3.35310i −1.61634 0.172010i
\(381\) 2.94580 4.52296i 0.150918 0.231718i
\(382\) 67.0470 11.8222i 3.43042 0.604876i
\(383\) −25.4328 + 21.3407i −1.29956 + 1.09046i −0.309334 + 0.950953i \(0.600106\pi\)
−0.990222 + 0.139503i \(0.955449\pi\)
\(384\) 10.8694 + 2.52462i 0.554677 + 0.128834i
\(385\) 5.36958 + 1.95437i 0.273659 + 0.0996038i
\(386\) −12.9352 + 15.4156i −0.658386 + 0.784634i
\(387\) 28.5379 + 3.07615i 1.45066 + 0.156369i
\(388\) 74.9007 43.2440i 3.80251 2.19538i
\(389\) 20.5469 + 3.62298i 1.04177 + 0.183692i 0.668255 0.743932i \(-0.267041\pi\)
0.373515 + 0.927624i \(0.378153\pi\)
\(390\) 1.50849 1.61335i 0.0763853 0.0816953i
\(391\) −1.57216 2.72306i −0.0795076 0.137711i
\(392\) 6.72727 11.6520i 0.339779 0.588514i
\(393\) −6.07535 + 1.84860i −0.306461 + 0.0932494i
\(394\) −21.3442 + 58.6426i −1.07530 + 2.95437i
\(395\) −2.14528 + 0.780820i −0.107941 + 0.0392873i
\(396\) 7.53013 15.3355i 0.378403 0.770637i
\(397\) −4.74235 26.8952i −0.238012 1.34983i −0.836177 0.548460i \(-0.815214\pi\)
0.598165 0.801373i \(-0.295897\pi\)
\(398\) 10.5732 0.529986
\(399\) −19.7395 11.0098i −0.988213 0.551177i
\(400\) 21.4688 1.07344
\(401\) −3.70169 20.9933i −0.184853 1.04836i −0.926144 0.377171i \(-0.876897\pi\)
0.741290 0.671185i \(-0.234214\pi\)
\(402\) 4.90557 + 40.3964i 0.244668 + 2.01479i
\(403\) −1.54642 + 0.562852i −0.0770328 + 0.0280377i
\(404\) 24.5965 67.5783i 1.22372 3.36214i
\(405\) −1.88115 13.9216i −0.0934753 0.691770i
\(406\) 4.55638 7.89189i 0.226129 0.391668i
\(407\) 2.23072 + 3.86372i 0.110573 + 0.191517i
\(408\) −44.0786 41.2136i −2.18222 2.04038i
\(409\) −27.5154 4.85171i −1.36055 0.239902i −0.554714 0.832041i \(-0.687172\pi\)
−0.805836 + 0.592139i \(0.798283\pi\)
\(410\) 0.537812 0.310506i 0.0265607 0.0153348i
\(411\) 12.3943 + 24.4052i 0.611363 + 1.20382i
\(412\) −22.2063 + 26.4645i −1.09403 + 1.30381i
\(413\) 7.59583 + 2.76466i 0.373766 + 0.136040i
\(414\) −3.45392 + 3.31772i −0.169751 + 0.163057i
\(415\) −13.0651 + 10.9629i −0.641339 + 0.538147i
\(416\) −2.46216 + 0.434145i −0.120717 + 0.0212857i
\(417\) 10.6040 + 6.90639i 0.519282 + 0.338208i
\(418\) −11.4114 + 7.67550i −0.558149 + 0.375421i
\(419\) 18.7147i 0.914272i −0.889397 0.457136i \(-0.848875\pi\)
0.889397 0.457136i \(-0.151125\pi\)
\(420\) −34.6776 14.7742i −1.69210 0.720907i
\(421\) 7.28959 + 8.68740i 0.355273 + 0.423398i 0.913848 0.406056i \(-0.133096\pi\)
−0.558575 + 0.829454i \(0.688652\pi\)
\(422\) −8.80910 24.2028i −0.428820 1.17817i
\(423\) −24.4140 + 1.64201i −1.18705 + 0.0798370i
\(424\) −16.1142 13.5214i −0.782574 0.656657i
\(425\) 11.2824 + 6.51391i 0.547278 + 0.315971i
\(426\) −3.30481 + 61.4960i −0.160119 + 2.97949i
\(427\) −3.58394 + 20.3255i −0.173439 + 0.983622i
\(428\) 11.0310 62.5602i 0.533206 3.02396i
\(429\) 0.0359881 0.669667i 0.00173752 0.0323319i
\(430\) −33.3702 19.2663i −1.60925 0.929102i
\(431\) 0.337025 + 0.282798i 0.0162339 + 0.0136219i 0.650868 0.759190i \(-0.274405\pi\)
−0.634635 + 0.772812i \(0.718849\pi\)
\(432\) −21.2481 + 37.9749i −1.02230 + 1.82707i
\(433\) 11.3377 + 31.1501i 0.544856 + 1.49698i 0.840570 + 0.541704i \(0.182220\pi\)
−0.295713 + 0.955277i \(0.595557\pi\)
\(434\) 25.8052 + 30.7534i 1.23869 + 1.47621i
\(435\) −2.93433 1.25015i −0.140690 0.0599403i
\(436\) 6.03867i 0.289200i
\(437\) 2.61773 0.649056i 0.125223 0.0310486i
\(438\) −1.63910 1.06754i −0.0783192 0.0510092i
\(439\) 5.42779 0.957066i 0.259054 0.0456783i −0.0426125 0.999092i \(-0.513568\pi\)
0.301667 + 0.953413i \(0.402457\pi\)
\(440\) −10.0241 + 8.41126i −0.477882 + 0.400991i
\(441\) −4.07858 4.24602i −0.194218 0.202191i
\(442\) −3.90135 1.41997i −0.185568 0.0675413i
\(443\) −4.10597 + 4.89330i −0.195080 + 0.232488i −0.854714 0.519100i \(-0.826267\pi\)
0.659633 + 0.751588i \(0.270712\pi\)
\(444\) −13.3260 26.2400i −0.632426 1.24529i
\(445\) 10.6292 6.13680i 0.503875 0.290912i
\(446\) −27.1271 4.78324i −1.28450 0.226493i
\(447\) −7.07216 6.61248i −0.334502 0.312760i
\(448\) 5.42405 + 9.39473i 0.256262 + 0.443859i
\(449\) 11.0074 19.0653i 0.519470 0.899749i −0.480274 0.877119i \(-0.659463\pi\)
0.999744 0.0226300i \(-0.00720396\pi\)
\(450\) 5.52020 19.0599i 0.260225 0.898493i
\(451\) 0.0644906 0.177187i 0.00303675 0.00834339i
\(452\) −30.0290 + 10.9297i −1.41244 + 0.514088i
\(453\) 4.00178 + 32.9538i 0.188020 + 1.54830i
\(454\) −0.232594 1.31911i −0.0109162 0.0619087i
\(455\) −1.47963 −0.0693660
\(456\) 44.4366 26.5414i 2.08094 1.24292i
\(457\) 6.66744 0.311890 0.155945 0.987766i \(-0.450158\pi\)
0.155945 + 0.987766i \(0.450158\pi\)
\(458\) 1.72254 + 9.76899i 0.0804889 + 0.456475i
\(459\) −22.6886 + 13.5099i −1.05901 + 0.630587i
\(460\) 4.22651 1.53832i 0.197062 0.0717247i
\(461\) −5.50703 + 15.1304i −0.256488 + 0.704695i 0.742890 + 0.669414i \(0.233455\pi\)
−0.999377 + 0.0352807i \(0.988767\pi\)
\(462\) −15.6515 + 4.76240i −0.728172 + 0.221567i
\(463\) −19.1725 + 33.2078i −0.891023 + 1.54330i −0.0523713 + 0.998628i \(0.516678\pi\)
−0.838651 + 0.544669i \(0.816655\pi\)
\(464\) 4.93994 + 8.55622i 0.229331 + 0.397212i
\(465\) 9.59664 10.2638i 0.445034 0.475971i
\(466\) 46.7338 + 8.24043i 2.16490 + 0.381731i
\(467\) 18.0289 10.4090i 0.834277 0.481670i −0.0210381 0.999779i \(-0.506697\pi\)
0.855315 + 0.518109i \(0.173364\pi\)
\(468\) −0.474108 + 4.39836i −0.0219156 + 0.203314i
\(469\) 17.5227 20.8827i 0.809121 0.964273i
\(470\) 30.8675 + 11.2349i 1.42381 + 0.518225i
\(471\) 24.2817 + 5.63987i 1.11884 + 0.259871i
\(472\) −14.1802 + 11.8986i −0.652696 + 0.547677i
\(473\) −11.5219 + 2.03162i −0.529777 + 0.0934140i
\(474\) 3.56716 5.47700i 0.163845 0.251567i
\(475\) −8.04828 + 7.75193i −0.369280 + 0.355683i
\(476\) 70.8528i 3.24753i
\(477\) −7.64491 + 5.12705i −0.350036 + 0.234751i
\(478\) −27.3386 32.5809i −1.25044 1.49021i
\(479\) −2.82297 7.75604i −0.128985 0.354383i 0.858343 0.513076i \(-0.171494\pi\)
−0.987328 + 0.158693i \(0.949272\pi\)
\(480\) 17.0656 12.8244i 0.778937 0.585350i
\(481\) −0.884965 0.742574i −0.0403509 0.0338584i
\(482\) 26.7070 + 15.4193i 1.21647 + 0.702331i
\(483\) 3.20370 + 0.172168i 0.145774 + 0.00783391i
\(484\) 7.68645 43.5920i 0.349384 1.98146i
\(485\) −5.03366 + 28.5473i −0.228567 + 1.29627i
\(486\) 28.2505 + 28.6284i 1.28147 + 1.29861i
\(487\) −22.5542 13.0217i −1.02203 0.590069i −0.107338 0.994223i \(-0.534233\pi\)
−0.914691 + 0.404154i \(0.867566\pi\)
\(488\) −36.2062 30.3806i −1.63898 1.37527i
\(489\) 1.98081 + 2.63590i 0.0895754 + 0.119200i
\(490\) 2.70325 + 7.42711i 0.122120 + 0.335523i
\(491\) −24.6341 29.3577i −1.11172 1.32490i −0.940550 0.339654i \(-0.889690\pi\)
−0.171169 0.985242i \(-0.554755\pi\)
\(492\) −0.487522 + 1.14430i −0.0219792 + 0.0515890i
\(493\) 5.99538i 0.270018i
\(494\) 2.09689 2.87824i 0.0943437 0.129498i
\(495\) 2.31511 + 5.23725i 0.104057 + 0.235397i
\(496\) −42.8640 + 7.55807i −1.92465 + 0.339368i
\(497\) 31.6037 26.5187i 1.41762 1.18953i
\(498\) 11.0475 47.5638i 0.495052 2.13138i
\(499\) −22.9331 8.34698i −1.02663 0.373662i −0.226832 0.973934i \(-0.572837\pi\)
−0.799796 + 0.600272i \(0.795059\pi\)
\(500\) −35.3418 + 42.1187i −1.58053 + 1.88360i
\(501\) −20.3929 + 10.3566i −0.911086 + 0.462697i
\(502\) 20.0851 11.5962i 0.896443 0.517562i
\(503\) −39.5690 6.97708i −1.76429 0.311093i −0.804953 0.593339i \(-0.797809\pi\)
−0.959342 + 0.282246i \(0.908921\pi\)
\(504\) 59.7834 14.7370i 2.66296 0.656440i
\(505\) 12.0517 + 20.8742i 0.536295 + 0.928891i
\(506\) 0.976067 1.69060i 0.0433915 0.0751562i
\(507\) −6.50407 21.3754i −0.288856 0.949314i
\(508\) 4.96381 13.6380i 0.220233 0.605086i
\(509\) 33.9250 12.3477i 1.50370 0.547302i 0.546685 0.837338i \(-0.315889\pi\)
0.957016 + 0.290036i \(0.0936672\pi\)
\(510\) 35.1905 4.27339i 1.55826 0.189229i
\(511\) 0.227547 + 1.29048i 0.0100661 + 0.0570876i
\(512\) 48.7022 2.15236
\(513\) −5.74637 21.9084i −0.253709 0.967281i
\(514\) 32.5912 1.43754
\(515\) −2.01066 11.4030i −0.0886001 0.502476i
\(516\) 76.6139 9.30369i 3.37274 0.409572i
\(517\) 9.37231 3.41124i 0.412194 0.150026i
\(518\) −9.63875 + 26.4823i −0.423502 + 1.16356i
\(519\) 6.90791 + 22.7026i 0.303223 + 0.996533i
\(520\) 1.69418 2.93441i 0.0742949 0.128683i
\(521\) −8.36859 14.4948i −0.366635 0.635030i 0.622402 0.782697i \(-0.286157\pi\)
−0.989037 + 0.147668i \(0.952823\pi\)
\(522\) 8.86638 2.18563i 0.388071 0.0956623i
\(523\) −3.12791 0.551534i −0.136774 0.0241169i 0.104842 0.994489i \(-0.466566\pi\)
−0.241616 + 0.970372i \(0.577677\pi\)
\(524\) −14.7872 + 8.53740i −0.645982 + 0.372958i
\(525\) −11.8522 + 6.01916i −0.517271 + 0.262697i
\(526\) −0.658506 + 0.784777i −0.0287122 + 0.0342179i
\(527\) −24.8194 9.03354i −1.08115 0.393507i
\(528\) 4.01295 17.2772i 0.174641 0.751895i
\(529\) 17.3258 14.5380i 0.753294 0.632089i
\(530\) 12.1694 2.14580i 0.528607 0.0932077i
\(531\) 3.27497 + 7.40862i 0.142122 + 0.321507i
\(532\) −58.3967 16.8272i −2.53182 0.729553i
\(533\) 0.0488250i 0.00211485i
\(534\) −13.7732 + 32.3281i −0.596025 + 1.39897i
\(535\) 13.6859 + 16.3102i 0.591692 + 0.705151i
\(536\) 21.3512 + 58.6620i 0.922233 + 2.53381i
\(537\) 19.9156 + 26.5021i 0.859424 + 1.14365i
\(538\) −38.1676 32.0264i −1.64552 1.38076i
\(539\) 2.07831 + 1.19991i 0.0895190 + 0.0516838i
\(540\) −13.3958 35.3173i −0.576461 1.51981i
\(541\) 0.328535 1.86322i 0.0141248 0.0801059i −0.976931 0.213557i \(-0.931495\pi\)
0.991055 + 0.133452i \(0.0426061\pi\)
\(542\) −0.299439 + 1.69820i −0.0128620 + 0.0729440i
\(543\) −10.6286 0.571183i −0.456117 0.0245118i
\(544\) −34.7503 20.0631i −1.48991 0.860198i
\(545\) 1.55044 + 1.30097i 0.0664134 + 0.0557274i
\(546\) 3.38659 2.54493i 0.144933 0.108913i
\(547\) −9.41432 25.8656i −0.402527 1.10593i −0.961033 0.276434i \(-0.910847\pi\)
0.558506 0.829501i \(-0.311375\pi\)
\(548\) 47.3077 + 56.3791i 2.02089 + 2.40840i
\(549\) −17.1770 + 11.5197i −0.733096 + 0.491650i
\(550\) 8.08824i 0.344884i
\(551\) −4.94138 1.42388i −0.210510 0.0606592i
\(552\) −4.00971 + 6.15649i −0.170665 + 0.262038i
\(553\) −4.31211 + 0.760341i −0.183370 + 0.0323330i
\(554\) 37.2897 31.2898i 1.58429 1.32938i
\(555\) 9.60810 + 2.23166i 0.407841 + 0.0947285i
\(556\) 31.9740 + 11.6376i 1.35600 + 0.493544i
\(557\) 4.41474 5.26128i 0.187058 0.222928i −0.664363 0.747410i \(-0.731297\pi\)
0.851421 + 0.524483i \(0.175741\pi\)
\(558\) −4.31145 + 39.9979i −0.182518 + 1.69325i
\(559\) 2.62362 1.51475i 0.110967 0.0640669i
\(560\) −38.5391 6.79549i −1.62858 0.287162i
\(561\) 7.35106 7.86208i 0.310362 0.331937i
\(562\) 16.7184 + 28.9571i 0.705222 + 1.22148i
\(563\) −8.11401 + 14.0539i −0.341965 + 0.592301i −0.984798 0.173706i \(-0.944426\pi\)
0.642833 + 0.766007i \(0.277759\pi\)
\(564\) −62.9430 + 19.1522i −2.65038 + 0.806452i
\(565\) 3.66324 10.0647i 0.154114 0.423424i
\(566\) −32.0455 + 11.6636i −1.34697 + 0.490258i
\(567\) 1.08343 26.9219i 0.0454996 1.13062i
\(568\) 16.4056 + 93.0411i 0.688366 + 3.90392i
\(569\) −23.4699 −0.983911 −0.491956 0.870620i \(-0.663718\pi\)
−0.491956 + 0.870620i \(0.663718\pi\)
\(570\) −4.83547 + 30.0188i −0.202535 + 1.25735i
\(571\) −12.3766 −0.517944 −0.258972 0.965885i \(-0.583384\pi\)
−0.258972 + 0.965885i \(0.583384\pi\)
\(572\) −0.313121 1.77580i −0.0130922 0.0742498i
\(573\) −5.50952 45.3698i −0.230164 1.89535i
\(574\) 1.11925 0.407372i 0.0467164 0.0170034i
\(575\) 0.542503 1.49051i 0.0226239 0.0621587i
\(576\) −3.02415 + 10.4416i −0.126006 + 0.435068i
\(577\) −7.38649 + 12.7938i −0.307504 + 0.532612i −0.977816 0.209467i \(-0.932827\pi\)
0.670312 + 0.742079i \(0.266160\pi\)
\(578\) −11.3855 19.7203i −0.473576 0.820258i
\(579\) 9.86763 + 9.22626i 0.410085 + 0.383430i
\(580\) −8.44571 1.48921i −0.350689 0.0618360i
\(581\) −28.3288 + 16.3556i −1.17528 + 0.678546i
\(582\) −37.5798 73.9974i −1.55773 3.06729i
\(583\) 2.41175 2.87421i 0.0998843 0.119037i
\(584\) −2.81984 1.02634i −0.116686 0.0424702i
\(585\) −1.02714 1.06931i −0.0424672 0.0442105i
\(586\) −8.68702 + 7.28927i −0.358857 + 0.301117i
\(587\) 16.0113 2.82322i 0.660857 0.116527i 0.166847 0.985983i \(-0.446642\pi\)
0.494010 + 0.869456i \(0.335530\pi\)
\(588\) −13.2651 8.63951i −0.547042 0.356287i
\(589\) 13.3399 18.3107i 0.549662 0.754479i
\(590\) 10.8741i 0.447679i
\(591\) 38.5412 + 16.4202i 1.58537 + 0.675439i
\(592\) −19.6398 23.4058i −0.807192 0.961974i
\(593\) 1.06316 + 2.92101i 0.0436587 + 0.119951i 0.959606 0.281347i \(-0.0907812\pi\)
−0.915947 + 0.401299i \(0.868559\pi\)
\(594\) −14.3068 8.00513i −0.587017 0.328455i
\(595\) −18.1915 15.2645i −0.745781 0.625784i
\(596\) −22.5450 13.0164i −0.923480 0.533171i
\(597\) 0.380888 7.08757i 0.0155887 0.290075i
\(598\) −0.0877763 + 0.497804i −0.00358944 + 0.0203567i
\(599\) 1.76308 9.99893i 0.0720375 0.408545i −0.927371 0.374144i \(-0.877937\pi\)
0.999408 0.0344010i \(-0.0109523\pi\)
\(600\) 1.63356 30.3973i 0.0666899 1.24097i
\(601\) 8.56591 + 4.94553i 0.349411 + 0.201732i 0.664426 0.747354i \(-0.268676\pi\)
−0.315015 + 0.949087i \(0.602010\pi\)
\(602\) −56.6136 47.5045i −2.30740 1.93614i
\(603\) 27.2558 1.83314i 1.10994 0.0746511i
\(604\) 30.5276 + 83.8739i 1.24215 + 3.41278i
\(605\) 9.53634 + 11.3650i 0.387707 + 0.462052i
\(606\) −63.4875 27.0485i −2.57900 1.09877i
\(607\) 16.5025i 0.669817i 0.942251 + 0.334908i \(0.108705\pi\)
−0.942251 + 0.334908i \(0.891295\pi\)
\(608\) 24.7890 23.8762i 1.00533 0.968309i
\(609\) −5.12606 3.33860i −0.207718 0.135287i
\(610\) 27.3430 4.82130i 1.10708 0.195209i
\(611\) −1.97839 + 1.66007i −0.0800371 + 0.0671591i
\(612\) −51.2046 + 49.1854i −2.06982 + 1.98820i
\(613\) −13.2779 4.83276i −0.536289 0.195193i 0.0596550 0.998219i \(-0.481000\pi\)
−0.595944 + 0.803026i \(0.703222\pi\)
\(614\) 38.9885 46.4647i 1.57345 1.87516i
\(615\) −0.188769 0.371700i −0.00761189 0.0149884i
\(616\) −21.7352 + 12.5488i −0.875736 + 0.505606i
\(617\) 10.3704 + 1.82858i 0.417496 + 0.0736158i 0.378450 0.925622i \(-0.376457\pi\)
0.0390458 + 0.999237i \(0.487568\pi\)
\(618\) 24.2150 + 22.6411i 0.974070 + 0.910757i
\(619\) −7.21587 12.4983i −0.290030 0.502347i 0.683786 0.729682i \(-0.260332\pi\)
−0.973817 + 0.227335i \(0.926999\pi\)
\(620\) 18.8905 32.7194i 0.758663 1.31404i
\(621\) 2.09956 + 2.43480i 0.0842524 + 0.0977052i
\(622\) 8.69001 23.8756i 0.348438 0.957325i
\(623\) 22.1206 8.05124i 0.886243 0.322566i
\(624\) 0.553668 + 4.55934i 0.0221645 + 0.182520i
\(625\) −0.974188 5.52490i −0.0389675 0.220996i
\(626\) 14.9555 0.597742
\(627\) 4.73406 + 7.92594i 0.189060 + 0.316532i
\(628\) 67.0263 2.67464
\(629\) −3.21963 18.2594i −0.128375 0.728051i
\(630\) −15.9425 + 32.4676i −0.635163 + 1.29354i
\(631\) 6.27530 2.28402i 0.249816 0.0909254i −0.214077 0.976817i \(-0.568674\pi\)
0.463893 + 0.885891i \(0.346452\pi\)
\(632\) 3.42948 9.42243i 0.136418 0.374804i
\(633\) −16.5413 + 5.03316i −0.657458 + 0.200050i
\(634\) 6.89901 11.9494i 0.273995 0.474573i
\(635\) 2.43216 + 4.21262i 0.0965173 + 0.167173i
\(636\) −16.9036 + 18.0787i −0.670272 + 0.716867i
\(637\) −0.611967 0.107906i −0.0242470 0.00427540i
\(638\) −3.22351 + 1.86110i −0.127620 + 0.0736815i
\(639\) 41.1038 + 4.43065i 1.62604 + 0.175274i
\(640\) −6.46396 + 7.70344i −0.255510 + 0.304505i
\(641\) 24.7334 + 9.00224i 0.976912 + 0.355567i 0.780639 0.624982i \(-0.214894\pi\)
0.196273 + 0.980549i \(0.437116\pi\)
\(642\) −59.3777 13.7915i −2.34345 0.544309i
\(643\) −3.88657 + 3.26122i −0.153272 + 0.128610i −0.716199 0.697896i \(-0.754120\pi\)
0.562927 + 0.826506i \(0.309675\pi\)
\(644\) 8.49545 1.49798i 0.334768 0.0590286i
\(645\) −14.1170 + 21.6751i −0.555855 + 0.853456i
\(646\) 55.4739 13.7546i 2.18259 0.541167i
\(647\) 15.3275i 0.602585i 0.953532 + 0.301293i \(0.0974181\pi\)
−0.953532 + 0.301293i \(0.902582\pi\)
\(648\) 52.1514 + 32.9745i 2.04870 + 1.29536i
\(649\) −2.12229 2.52925i −0.0833073 0.0992818i
\(650\) −0.716314 1.96806i −0.0280961 0.0771935i
\(651\) 21.5447 16.1902i 0.844403 0.634546i
\(652\) 6.79137 + 5.69864i 0.265971 + 0.223176i
\(653\) −6.35742 3.67046i −0.248785 0.143636i 0.370423 0.928863i \(-0.379213\pi\)
−0.619208 + 0.785227i \(0.712546\pi\)
\(654\) −5.78631 0.310958i −0.226263 0.0121594i
\(655\) 0.993767 5.63593i 0.0388297 0.220214i
\(656\) −0.224239 + 1.27172i −0.00875506 + 0.0496524i
\(657\) −0.774657 + 1.06029i −0.0302222 + 0.0413657i
\(658\) 54.5615 + 31.5011i 2.12703 + 1.22804i
\(659\) 17.2736 + 14.4942i 0.672882 + 0.564615i 0.913917 0.405901i \(-0.133042\pi\)
−0.241035 + 0.970517i \(0.577487\pi\)
\(660\) 9.24940 + 12.3084i 0.360032 + 0.479102i
\(661\) −4.78873 13.1569i −0.186260 0.511746i 0.811055 0.584969i \(-0.198893\pi\)
−0.997316 + 0.0732238i \(0.976671\pi\)
\(662\) 8.54630 + 10.1851i 0.332161 + 0.395854i
\(663\) −1.09240 + 2.56405i −0.0424253 + 0.0995796i
\(664\) 74.9093i 2.90705i
\(665\) 16.9014 11.3682i 0.655408 0.440839i
\(666\) −25.8296 + 11.4179i −1.00088 + 0.442435i
\(667\) 0.718863 0.126755i 0.0278345 0.00490797i
\(668\) −47.1101 + 39.5301i −1.82274 + 1.52946i
\(669\) −4.18359 + 18.0119i −0.161747 + 0.696380i
\(670\) −34.4605 12.5426i −1.33133 0.484563i
\(671\) 5.41884 6.45793i 0.209192 0.249305i
\(672\) 36.5051 18.5392i 1.40822 0.715166i
\(673\) −29.2421 + 16.8829i −1.12720 + 0.650789i −0.943229 0.332143i \(-0.892228\pi\)
−0.183970 + 0.982932i \(0.558895\pi\)
\(674\) −80.9483 14.2734i −3.11801 0.549790i
\(675\) −12.5776 4.38699i −0.484114 0.168855i
\(676\) −30.0378 52.0270i −1.15530 2.00104i
\(677\) −20.9506 + 36.2875i −0.805197 + 1.39464i 0.110961 + 0.993825i \(0.464607\pi\)
−0.916158 + 0.400817i \(0.868726\pi\)
\(678\) 8.92657 + 29.3369i 0.342823 + 1.12668i
\(679\) −19.0154 + 52.2443i −0.729743 + 2.00495i
\(680\) 51.1023 18.5997i 1.95968 0.713266i
\(681\) −0.892620 + 0.108396i −0.0342053 + 0.00415375i
\(682\) −2.84747 16.1488i −0.109035 0.618369i
\(683\) 37.5667 1.43745 0.718725 0.695295i \(-0.244726\pi\)
0.718725 + 0.695295i \(0.244726\pi\)
\(684\) −28.3776 53.8840i −1.08505 2.06031i
\(685\) −24.6674 −0.942492
\(686\) −6.75681 38.3198i −0.257976 1.46305i
\(687\) 6.61054 0.802758i 0.252208 0.0306271i
\(688\) 75.2929 27.4044i 2.87051 1.04478i
\(689\) −0.332287 + 0.912951i −0.0126591 + 0.0347807i
\(690\) −1.25639 4.12909i −0.0478301 0.157192i
\(691\) −2.67694 + 4.63659i −0.101835 + 0.176384i −0.912441 0.409209i \(-0.865805\pi\)
0.810605 + 0.585593i \(0.199138\pi\)
\(692\) 31.9029 + 55.2574i 1.21277 + 2.10057i
\(693\) 2.62857 + 10.6633i 0.0998512 + 0.405064i
\(694\) −30.9659 5.46013i −1.17545 0.207264i
\(695\) −9.87645 + 5.70217i −0.374635 + 0.216296i
\(696\) 12.4905 6.34335i 0.473452 0.240444i
\(697\) −0.503702 + 0.600288i −0.0190791 + 0.0227375i
\(698\) −36.8784 13.4226i −1.39587 0.508055i
\(699\) 7.20738 31.0304i 0.272608 1.17368i
\(700\) −27.3800 + 22.9746i −1.03487 + 0.868357i
\(701\) −23.4648 + 4.13747i −0.886251 + 0.156270i −0.598202 0.801345i \(-0.704118\pi\)
−0.288050 + 0.957616i \(0.593007\pi\)
\(702\) 4.19014 + 0.680785i 0.158147 + 0.0256946i
\(703\) 15.8140 + 1.68292i 0.596437 + 0.0634726i
\(704\) 4.43100i 0.167000i
\(705\) 8.64308 20.2868i 0.325517 0.764046i
\(706\) −22.3731 26.6632i −0.842023 1.00348i
\(707\) 15.8114 + 43.4415i 0.594650 + 1.63379i
\(708\) 13.0842 + 17.4114i 0.491735 + 0.654362i
\(709\) 33.4374 + 28.0573i 1.25577 + 1.05371i 0.996120 + 0.0880094i \(0.0280505\pi\)
0.259647 + 0.965704i \(0.416394\pi\)
\(710\) −48.0639 27.7497i −1.80381 1.04143i
\(711\) −3.54292 2.58849i −0.132870 0.0970761i
\(712\) −9.36095 + 53.0886i −0.350817 + 1.98958i
\(713\) −0.558412 + 3.16691i −0.0209127 + 0.118602i
\(714\) 67.8918 + 3.64852i 2.54079 + 0.136543i
\(715\) 0.523397 + 0.302183i 0.0195739 + 0.0113010i
\(716\) 68.2824 + 57.2957i 2.55183 + 2.14124i
\(717\) −22.8249 + 17.1523i −0.852411 + 0.640564i
\(718\) 15.4475 + 42.4417i 0.576497 + 1.58391i
\(719\) −9.49121 11.3112i −0.353962 0.421836i 0.559455 0.828861i \(-0.311011\pi\)
−0.913417 + 0.407025i \(0.866566\pi\)
\(720\) −21.8425 32.5692i −0.814021 1.21378i
\(721\) 22.2079i 0.827065i
\(722\) −1.83833 + 48.9882i −0.0684154 + 1.82315i
\(723\) 11.2982 17.3472i 0.420184 0.645148i
\(724\) −28.1845 + 4.96968i −1.04747 + 0.184697i
\(725\) −2.31683 + 1.94405i −0.0860447 + 0.0722001i
\(726\) −41.3745 9.60998i −1.53555 0.356660i
\(727\) −29.6234 10.7820i −1.09867 0.399884i −0.271845 0.962341i \(-0.587634\pi\)
−0.826826 + 0.562457i \(0.809856\pi\)
\(728\) 4.17732 4.97834i 0.154822 0.184509i
\(729\) 20.2083 17.9060i 0.748456 0.663185i
\(730\) 1.52663 0.881402i 0.0565033 0.0326222i
\(731\) 47.8834 + 8.44313i 1.77103 + 0.312280i
\(732\) −37.9800 + 40.6202i −1.40378 + 1.50137i
\(733\) 0.100159 + 0.173480i 0.00369944 + 0.00640762i 0.867869 0.496793i \(-0.165489\pi\)
−0.864170 + 0.503200i \(0.832156\pi\)
\(734\) −0.674424 + 1.16814i −0.0248934 + 0.0431167i
\(735\) 5.07603 1.54453i 0.187232 0.0569707i
\(736\) −1.67093 + 4.59084i −0.0615912 + 0.169221i
\(737\) −10.4633 + 3.80831i −0.385419 + 0.140281i
\(738\) 1.07137 + 0.526073i 0.0394378 + 0.0193650i
\(739\) 2.98492 + 16.9283i 0.109802 + 0.622719i 0.989193 + 0.146619i \(0.0468390\pi\)
−0.879391 + 0.476100i \(0.842050\pi\)
\(740\) 26.5219 0.974963
\(741\) −1.85385 1.50930i −0.0681028 0.0554457i
\(742\) 23.7006 0.870075
\(743\) 7.10350 + 40.2860i 0.260602 + 1.47795i 0.781272 + 0.624191i \(0.214571\pi\)
−0.520670 + 0.853758i \(0.674318\pi\)
\(744\) 7.43986 + 61.2657i 0.272758 + 2.24611i
\(745\) 8.19907 2.98422i 0.300391 0.109333i
\(746\) 2.10339 5.77901i 0.0770104 0.211584i
\(747\) −31.4856 9.11898i −1.15200 0.333646i
\(748\) 14.4702 25.0632i 0.529084 0.916400i
\(749\) 20.4181 + 35.3651i 0.746059 + 1.29221i
\(750\) 38.5386 + 36.0337i 1.40723 + 1.31576i
\(751\) 9.89135 + 1.74411i 0.360941 + 0.0636436i 0.351178 0.936309i \(-0.385781\pi\)
0.00976278 + 0.999952i \(0.496892\pi\)
\(752\) −59.1544 + 34.1528i −2.15714 + 1.24542i
\(753\) −7.04975 13.8815i −0.256907 0.505870i
\(754\) 0.619532 0.738329i 0.0225620 0.0268884i
\(755\) −28.1116 10.2318i −1.02309 0.372373i
\(756\) −13.5398 71.1695i −0.492436 2.58841i
\(757\) 30.7487 25.8012i 1.11758 0.937760i 0.119099 0.992882i \(-0.461999\pi\)
0.998480 + 0.0551222i \(0.0175548\pi\)
\(758\) 47.4964 8.37489i 1.72515 0.304190i
\(759\) −1.09810 0.715193i −0.0398586 0.0259599i
\(760\) 3.19327 + 46.5357i 0.115832 + 1.68803i
\(761\) 13.1199i 0.475596i −0.971315 0.237798i \(-0.923574\pi\)
0.971315 0.237798i \(-0.0764257\pi\)
\(762\) −12.8124 5.45864i −0.464144 0.197746i
\(763\) 2.49521 + 2.97367i 0.0903326 + 0.107654i
\(764\) −42.0294 115.475i −1.52057 4.17774i