Properties

Label 57.2.j.b.2.1
Level 57
Weight 2
Character 57.2
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 2.1
Character \(\chi\) = 57.2
Dual form 57.2.j.b.29.1

$q$-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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

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

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 0.245078 + 0.969503i \(0.421186\pi\)
−0.561888 + 0.827213i \(0.689925\pi\)
\(3\) −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 0.999972 + 0.00746821i \(0.00237723\pi\)
−0.761223 + 0.648491i \(0.775401\pi\)
\(6\) 1.30091 4.27539i 0.531094 1.74542i
\(7\) 1.49687 + 2.59266i 0.565765 + 0.979934i 0.996978 + 0.0776837i \(0.0247524\pi\)
−0.431213 + 0.902250i \(0.641914\pi\)
\(8\) 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 0.331781 0.943356i \(-0.392351\pi\)
−0.651080 + 0.759009i \(0.725684\pi\)
\(12\) 7.19204 + 3.65250i 2.07616 + 1.05439i
\(13\) 0.203530 + 0.242558i 0.0564491 + 0.0672734i 0.793530 0.608531i \(-0.208241\pi\)
−0.737081 + 0.675804i \(0.763796\pi\)
\(14\) −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 0.743660 0.668558i \(-0.233088\pi\)
0.470152 + 0.882585i \(0.344199\pi\)
\(18\) −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 −0.959798 0.280691i \(-0.909436\pi\)
0.915673 + 0.401925i \(0.131659\pi\)
\(24\) −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 0.959861 0.280477i \(-0.0904925\pi\)
−0.997903 + 0.0647299i \(0.979381\pi\)
\(30\) 6.96552 0.374329i 1.27172 0.0683428i
\(31\) −4.50103 + 2.59867i −0.808409 + 0.466735i −0.846403 0.532543i \(-0.821237\pi\)
0.0379939 + 0.999278i \(0.487903\pi\)
\(32\) −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 \(0.0969541\pi\)
−0.953970 + 0.299902i \(0.903046\pi\)
\(38\) 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 0.633517 0.773729i \(-0.281611\pi\)
−0.651965 + 0.758249i \(0.726055\pi\)
\(42\) 13.0319 3.02691i 2.01087 0.467062i
\(43\) 8.99072 3.27235i 1.37107 0.499029i 0.451613 0.892214i \(-0.350849\pi\)
0.919460 + 0.393185i \(0.128627\pi\)
\(44\) 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 −0.725410 0.688317i \(-0.758350\pi\)
−0.446244 + 0.894911i \(0.647239\pi\)
\(48\) −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 0.136315 0.990665i \(-0.456474\pi\)
−0.532364 + 0.846516i \(0.678696\pi\)
\(54\) 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 −0.938957 0.344034i \(-0.888206\pi\)
0.999998 0.00214403i \(-0.000682465\pi\)
\(60\) −1.51783 + 12.4990i −0.195951 + 1.61361i
\(61\) −6.47830 2.35791i −0.829462 0.301899i −0.107824 0.994170i \(-0.534388\pi\)
−0.721638 + 0.692271i \(0.756610\pi\)
\(62\) −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 0.403467 0.914994i \(-0.367805\pi\)
0.692081 + 0.721820i \(0.256694\pi\)
\(68\) −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 0.571548 0.820569i \(-0.306343\pi\)
0.965282 + 0.261208i \(0.0841209\pi\)
\(72\) 14.2478 14.8327i 1.67912 1.74805i
\(73\) −0.335304 0.281354i −0.0392444 0.0329300i 0.622954 0.782258i \(-0.285932\pi\)
−0.662199 + 0.749328i \(0.730377\pi\)
\(74\) −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 −0.816334 0.577580i \(-0.803997\pi\)
0.710560 + 0.703636i \(0.248442\pi\)
\(80\) −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 −0.919454 0.393198i \(-0.871369\pi\)
−0.119207 + 0.992869i \(0.538035\pi\)
\(84\) 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 −0.265063 0.964231i \(-0.585393\pi\)
0.903554 + 0.428473i \(0.140948\pi\)
\(90\) −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 −0.870599 0.491994i \(-0.836268\pi\)
−0.986367 + 0.164561i \(0.947379\pi\)
\(98\) −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 −0.984200 0.177062i \(-0.943341\pi\)
−0.00346803 0.999994i \(-0.501104\pi\)
\(102\) 10.2835 20.2490i 1.01822 2.00495i
\(103\) 6.42425 + 3.70904i 0.633000 + 0.365463i 0.781913 0.623387i \(-0.214244\pi\)
−0.148913 + 0.988850i \(0.547577\pi\)
\(104\) 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 −0.980788 0.195078i \(-0.937504\pi\)
0.321451 0.946926i \(-0.395829\pi\)
\(108\) 18.3264 + 15.8031i 1.76346 + 1.52065i
\(109\) −0.443482 1.21846i −0.0424778 0.116707i 0.916640 0.399714i \(-0.130890\pi\)
−0.959118 + 0.283007i \(0.908668\pi\)
\(110\) 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 0.669811 0.742531i \(-0.266375\pi\)
−0.847562 + 0.530696i \(0.821931\pi\)
\(128\) −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 0.329140 0.944281i \(-0.393241\pi\)
−0.0136728 + 0.999907i \(0.504352\pi\)
\(132\) −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 0.462359 + 0.886693i \(0.347003\pi\)
−0.924143 + 0.382048i \(0.875219\pi\)
\(138\) 2.21049 + 1.66113i 0.188170 + 0.141404i
\(139\) −5.59691 + 4.69637i −0.474724 + 0.398341i −0.848514 0.529173i \(-0.822502\pi\)
0.373790 + 0.927513i \(0.378058\pi\)
\(140\) 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 −0.598514 0.801113i \(-0.704242\pi\)
0.892873 + 0.450309i \(0.148686\pi\)
\(150\) −4.49041 10.5398i −0.366641 0.860570i
\(151\) 19.1657i 1.55968i 0.625980 + 0.779839i \(0.284699\pi\)
−0.625980 + 0.779839i \(0.715301\pi\)
\(152\) −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 −0.819667 0.572840i \(-0.805842\pi\)
−0.259687 + 0.965693i \(0.583619\pi\)
\(158\) −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 −0.900892 0.434044i \(-0.857086\pi\)
0.826339 + 0.563173i \(0.190420\pi\)
\(164\) 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 0.774120 0.633039i \(-0.218193\pi\)
0.186100 + 0.982531i \(0.440415\pi\)
\(168\) −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 0.750256 + 0.661147i \(0.229930\pi\)
−0.931136 + 0.364672i \(0.881181\pi\)
\(174\) −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 0.247560 + 0.968873i \(0.420371\pi\)
−0.962848 + 0.270043i \(0.912962\pi\)
\(180\) 5.21956 21.1741i 0.389043 1.57822i
\(181\) 6.05191 1.06712i 0.449835 0.0793181i 0.0558589 0.998439i \(-0.482210\pi\)
0.393976 + 0.919121i \(0.371099\pi\)
\(182\) −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 \(-0.596244\pi\)
0.297773 0.954637i \(-0.403756\pi\)
\(192\) 2.45999 + 5.77404i 0.177535 + 0.416705i
\(193\) −5.01339 + 5.97472i −0.360871 + 0.430070i −0.915680 0.401908i \(-0.868347\pi\)
0.554809 + 0.831978i \(0.312792\pi\)
\(194\) 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 −0.999962 0.00872425i \(-0.997223\pi\)
−0.492426 + 0.870355i \(0.663890\pi\)
\(198\) 7.64267 5.58381i 0.543141 0.396824i
\(199\) −0.711595 4.03566i −0.0504437 0.286080i 0.949142 0.314847i \(-0.101953\pi\)
−0.999586 + 0.0287666i \(0.990842\pi\)
\(200\) −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 0.501465 0.865178i \(-0.332795\pi\)
0.175314 + 0.984512i \(0.443906\pi\)
\(212\) 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 0.999864 + 0.0164789i \(0.00524564\pi\)
−0.755348 + 0.655324i \(0.772532\pi\)
\(224\) −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 −0.956068 0.293145i \(-0.905298\pi\)
0.543960 0.839111i \(-0.316924\pi\)
\(234\) −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 0.884723 0.466117i \(-0.154347\pi\)
0.0386922 + 0.999251i \(0.487681\pi\)
\(240\) 10.2520 20.1869i 0.661763 1.30306i
\(241\) −7.68280 9.15600i −0.494893 0.589790i 0.459562 0.888146i \(-0.348006\pi\)
−0.954455 + 0.298356i \(0.903562\pi\)
\(242\) 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 −0.804063 0.594545i \(-0.797332\pi\)
0.998114 + 0.0613939i \(0.0195546\pi\)
\(252\) 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 −0.973572 0.228378i \(-0.926658\pi\)
0.836749 0.547587i \(-0.184453\pi\)
\(258\) −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 −0.773856 0.633362i \(-0.781675\pi\)
0.758118 + 0.652117i \(0.226119\pi\)
\(264\) 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 0.970568 0.240828i \(-0.0774189\pi\)
−0.0686317 + 0.997642i \(0.521863\pi\)
\(270\) 20.5580 + 3.91109i 1.25112 + 0.238021i
\(271\) −0.628030 + 0.228584i −0.0381501 + 0.0138855i −0.361025 0.932556i \(-0.617573\pi\)
0.322875 + 0.946442i \(0.395351\pi\)
\(272\) 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 −0.430091 0.902786i \(-0.641518\pi\)
0.996881 0.0789232i \(-0.0251482\pi\)
\(278\) −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 −0.0477960 0.998857i \(-0.515220\pi\)
−0.678667 + 0.734446i \(0.737442\pi\)
\(282\) −4.39409 + 36.1844i −0.261665 + 2.15475i
\(283\) −2.29514 + 13.0164i −0.136432 + 0.773742i 0.837420 + 0.546559i \(0.184063\pi\)
−0.973852 + 0.227183i \(0.927048\pi\)
\(284\) −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 −0.923051 0.384679i \(-0.874312\pi\)
0.794667 + 0.607046i \(0.207646\pi\)
\(294\) 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 −0.136876 0.990588i \(-0.543706\pi\)
0.999307 0.0372172i \(-0.0118493\pi\)
\(308\) −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 −0.238322 0.971186i \(-0.576597\pi\)
0.721911 + 0.691986i \(0.243264\pi\)
\(312\) −3.75448 + 0.201767i −0.212555 + 0.0114228i
\(313\) −1.00653 5.70833i −0.0568926 0.322654i 0.943058 0.332629i \(-0.107936\pi\)
−0.999950 + 0.00997537i \(0.996825\pi\)
\(314\) −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 −0.520452 0.853891i \(-0.674237\pi\)
0.750543 + 0.660822i \(0.229792\pi\)
\(318\) −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 0.372314 0.928107i \(-0.378564\pi\)
−0.617607 + 0.786487i \(0.711898\pi\)
\(332\) 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 0.763884 + 0.645353i \(0.223290\pi\)
−0.170344 + 0.985385i \(0.554488\pi\)
\(338\) 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 0.999875 0.0158208i \(-0.00503613\pi\)
−0.776118 + 0.630588i \(0.782814\pi\)
\(348\) 2.77021 9.10420i 0.148499 0.488037i
\(349\) 7.60525 + 13.1727i 0.407100 + 0.705117i 0.994563 0.104133i \(-0.0332069\pi\)
−0.587464 + 0.809250i \(0.699874\pi\)
\(350\) −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 0.777574 0.628791i \(-0.216450\pi\)
−0.155762 + 0.987795i \(0.549783\pi\)
\(354\) −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 −0.300913 0.953652i \(-0.597291\pi\)
−0.608934 + 0.793221i \(0.708403\pi\)
\(360\) 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 −0.653180 0.757203i \(-0.726566\pi\)
0.632275 + 0.774744i \(0.282121\pi\)
\(368\) −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 −0.445607 0.895229i \(-0.647012\pi\)
0.552488 + 0.833521i \(0.313679\pi\)
\(374\) 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 \(-0.840607\pi\)
0.877223 0.480083i \(-0.159393\pi\)
\(380\) −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 −0.990222 0.139503i \(-0.955449\pi\)
−0.309334 0.950953i \(-0.600106\pi\)
\(384\) 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 0.373515 0.927624i \(-0.378153\pi\)
0.668255 + 0.743932i \(0.267041\pi\)
\(390\) 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 0.598165 + 0.801373i \(0.295897\pi\)
−0.836177 + 0.548460i \(0.815214\pi\)
\(398\) 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 0.741290 + 0.671185i \(0.234214\pi\)
−0.926144 + 0.377171i \(0.876897\pi\)
\(402\) 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 −0.805836 0.592139i \(-0.798283\pi\)
−0.554714 + 0.832041i \(0.687172\pi\)
\(410\) 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 \(0.151125\pi\)
−0.889397 + 0.457136i \(0.848875\pi\)
\(420\) −34.6776 + 14.7742i −1.69210 + 0.720907i
\(421\) 7.28959 8.68740i 0.355273 0.423398i −0.558575 0.829454i \(-0.688652\pi\)
0.913848 + 0.406056i \(0.133096\pi\)
\(422\) −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 −0.634635 0.772812i \(-0.718849\pi\)
0.650868 + 0.759190i \(0.274405\pi\)
\(432\) −21.2481 37.9749i −1.02230 1.82707i
\(433\) 11.3377 31.1501i 0.544856 1.49698i −0.295713 0.955277i \(-0.595557\pi\)
0.840570 0.541704i \(-0.182220\pi\)
\(434\) 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 0.301667 0.953413i \(-0.402457\pi\)
−0.0426125 + 0.999092i \(0.513568\pi\)
\(440\) −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 0.659633 0.751588i \(-0.270712\pi\)
−0.854714 + 0.519100i \(0.826267\pi\)
\(444\) −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 0.999744 + 0.0226300i \(0.00720396\pi\)
−0.480274 + 0.877119i \(0.659463\pi\)
\(450\) 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 −0.999377 0.0352807i \(-0.988767\pi\)
0.742890 0.669414i \(-0.233455\pi\)
\(462\) −15.6515 4.76240i −0.728172 0.221567i
\(463\) −19.1725 33.2078i −0.891023 1.54330i −0.838651 0.544669i \(-0.816655\pi\)
−0.0523713 0.998628i \(-0.516678\pi\)
\(464\) 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 0.855315 0.518109i \(-0.173364\pi\)
−0.0210381 + 0.999779i \(0.506697\pi\)
\(468\) −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 −0.987328 0.158693i \(-0.949272\pi\)
0.858343 + 0.513076i \(0.171494\pi\)
\(480\) 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 −0.914691 0.404154i \(-0.867566\pi\)
−0.107338 + 0.994223i \(0.534233\pi\)
\(488\) −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 −0.171169 + 0.985242i \(0.554755\pi\)
−0.940550 + 0.339654i \(0.889690\pi\)
\(492\) −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 −0.799796 0.600272i \(-0.795059\pi\)
−0.226832 + 0.973934i \(0.572837\pi\)
\(500\) −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 −0.959342 0.282246i \(-0.908921\pi\)
−0.804953 + 0.593339i \(0.797809\pi\)
\(504\) 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 0.957016 0.290036i \(-0.0936672\pi\)
0.546685 + 0.837338i \(0.315889\pi\)
\(510\) 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 −0.989037 0.147668i \(-0.952823\pi\)
0.622402 + 0.782697i \(0.286157\pi\)
\(522\) 8.86638 + 2.18563i 0.388071 + 0.0956623i
\(523\) −3.12791 + 0.551534i −0.136774 + 0.0241169i −0.241616 0.970372i \(-0.577677\pi\)
0.104842 + 0.994489i \(0.466566\pi\)
\(524\) −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 0.991055 0.133452i \(-0.0426061\pi\)
−0.976931 + 0.213557i \(0.931495\pi\)
\(542\) −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 0.558506 + 0.829501i \(0.311375\pi\)
−0.961033 + 0.276434i \(0.910847\pi\)
\(548\) 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 0.851421 0.524483i \(-0.175741\pi\)
−0.664363 + 0.747410i \(0.731297\pi\)
\(558\) −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 0.642833 0.766007i \(-0.277759\pi\)
−0.984798 + 0.173706i \(0.944426\pi\)
\(564\) −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 0.670312 0.742079i \(-0.266160\pi\)
−0.977816 + 0.209467i \(0.932827\pi\)
\(578\) −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 0.494010 0.869456i \(-0.335530\pi\)
0.166847 + 0.985983i \(0.446642\pi\)
\(588\) −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 −0.915947 0.401299i \(-0.868559\pi\)
0.959606 + 0.281347i \(0.0907812\pi\)
\(594\) −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 0.999408 + 0.0344010i \(0.0109523\pi\)
−0.927371 + 0.374144i \(0.877937\pi\)
\(600\) 1.63356 + 30.3973i 0.0666899 + 1.24097i
\(601\) 8.56591 4.94553i 0.349411 0.201732i −0.315015 0.949087i \(-0.602010\pi\)
0.664426 + 0.747354i \(0.268676\pi\)
\(602\) −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 \(-0.891295\pi\)
0.942251 0.334908i \(-0.108705\pi\)
\(608\) 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 −0.595944 0.803026i \(-0.703222\pi\)
0.0596550 + 0.998219i \(0.481000\pi\)
\(614\) 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 0.0390458 0.999237i \(-0.487568\pi\)
0.378450 + 0.925622i \(0.376457\pi\)
\(618\) 24.2150 22.6411i 0.974070 0.910757i
\(619\) −7.21587 + 12.4983i −0.290030 + 0.502347i −0.973817 0.227335i \(-0.926999\pi\)
0.683786 + 0.729682i \(0.260332\pi\)
\(620\) 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 0.463893 0.885891i \(-0.346452\pi\)
−0.214077 + 0.976817i \(0.568674\pi\)
\(632\) 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 0.196273 0.980549i \(-0.437116\pi\)
0.780639 + 0.624982i \(0.214894\pi\)
\(642\) −59.3777 + 13.7915i −2.34345 + 0.544309i
\(643\) −3.88657 3.26122i −0.153272 0.128610i 0.562927 0.826506i \(-0.309675\pi\)
−0.716199 + 0.697896i \(0.754120\pi\)
\(644\) 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 \(-0.902582\pi\)
0.953532 0.301293i \(-0.0974181\pi\)
\(648\) 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 −0.619208 0.785227i \(-0.712546\pi\)
0.370423 + 0.928863i \(0.379213\pi\)
\(654\) −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 −0.241035 0.970517i \(-0.577487\pi\)
0.913917 + 0.405901i \(0.133042\pi\)
\(660\) 9.24940 12.3084i 0.360032 0.479102i
\(661\) −4.78873 + 13.1569i −0.186260 + 0.511746i −0.997316 0.0732238i \(-0.976671\pi\)
0.811055 + 0.584969i \(0.198893\pi\)
\(662\) 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 −0.183970 0.982932i \(-0.558895\pi\)
−0.943229 + 0.332143i \(0.892228\pi\)
\(674\) −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 −0.916158 0.400817i \(-0.868726\pi\)
0.110961 0.993825i \(-0.464607\pi\)
\(678\) 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 0.810605 0.585593i \(-0.199138\pi\)
−0.912441 + 0.409209i \(0.865805\pi\)
\(692\) 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 −0.288050 0.957616i \(-0.593007\pi\)
−0.598202 + 0.801345i \(0.704118\pi\)
\(702\) 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 0.259647 0.965704i \(-0.416394\pi\)
0.996120 0.0880094i \(-0.0280505\pi\)
\(710\) −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 −0.913417 0.407025i \(-0.866566\pi\)
0.559455 + 0.828861i \(0.311011\pi\)
\(720\) −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 −0.826826 0.562457i \(-0.809856\pi\)
−0.271845 + 0.962341i \(0.587634\pi\)
\(728\) 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 −0.864170 0.503200i \(-0.832156\pi\)
0.867869 + 0.496793i \(0.165489\pi\)
\(734\) −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 −0.879391 0.476100i \(-0.842050\pi\)
0.989193 0.146619i \(-0.0468390\pi\)
\(740\) 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 −0.520670 0.853758i \(-0.674318\pi\)
0.781272 0.624191i \(-0.214571\pi\)
\(744\) 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 0.00976278 0.999952i \(-0.496892\pi\)
0.351178 + 0.936309i \(0.385781\pi\)
\(752\) −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 0.998480 0.0551222i \(-0.0175548\pi\)
0.119099 + 0.992882i \(0.461999\pi\)
\(758\) 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 \(0.0764257\pi\)
−0.971315 + 0.237798i \(0.923574\pi\)
\(762\) −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