Properties

Label 150.2.h.b.19.4
Level 150
Weight 2
Character 150.19
Analytic conductor 1.198
Analytic rank 0
Dimension 16
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.h (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 19.4
Root \(-0.705457 + 0.309017i\)
Character \(\chi\) = 150.19
Dual form 150.2.h.b.79.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.587785 - 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(1.97959 + 1.03982i) q^{5} +(-0.809017 - 0.587785i) q^{6} +0.329315i q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.587785 - 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(1.97959 + 1.03982i) q^{5} +(-0.809017 - 0.587785i) q^{6} +0.329315i q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(2.20402 + 0.377200i) q^{10} +(-1.55540 - 4.78704i) q^{11} +(-0.951057 - 0.309017i) q^{12} +(-0.458554 - 0.148993i) q^{13} +(0.101764 + 0.313197i) q^{14} +(-0.322342 - 2.21271i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.98877 + 5.49007i) q^{17} +1.00000i q^{18} +(4.40115 + 3.19762i) q^{19} +(2.21271 - 0.322342i) q^{20} +(0.266421 - 0.193566i) q^{21} +(-2.95855 - 4.07210i) q^{22} +(-6.18239 + 2.00878i) q^{23} -1.00000 q^{24} +(2.83755 + 4.11683i) q^{25} -0.482152 q^{26} +(0.951057 - 0.309017i) q^{27} +(0.193566 + 0.266421i) q^{28} +(-4.87203 + 3.53974i) q^{29} +(-0.990331 - 2.00481i) q^{30} +(-1.06685 - 0.775108i) q^{31} -1.00000i q^{32} +(-2.95855 + 4.07210i) q^{33} +(-2.09702 + 6.45396i) q^{34} +(-0.342428 + 0.651908i) q^{35} +(0.309017 + 0.951057i) q^{36} +(-0.741956 - 0.241076i) q^{37} +(5.17386 + 1.68109i) q^{38} +(0.148993 + 0.458554i) q^{39} +(2.00481 - 0.990331i) q^{40} +(3.86905 - 11.9077i) q^{41} +(0.193566 - 0.266421i) q^{42} -2.47582i q^{43} +(-4.07210 - 2.95855i) q^{44} +(-1.60065 + 1.56138i) q^{45} +(-5.25906 + 3.82093i) q^{46} +(-2.57473 - 3.54381i) q^{47} +(-0.951057 + 0.309017i) q^{48} +6.89155 q^{49} +(3.97084 + 3.03849i) q^{50} +6.78610 q^{51} +(-0.458554 + 0.148993i) q^{52} +(0.990953 + 1.36393i) q^{53} +(0.809017 - 0.587785i) q^{54} +(1.89860 - 11.0937i) q^{55} +(0.266421 + 0.193566i) q^{56} -5.44012i q^{57} +(-3.53974 + 4.87203i) q^{58} +(-0.313909 + 0.966113i) q^{59} +(-1.56138 - 1.60065i) q^{60} +(1.29419 + 3.98310i) q^{61} +(-1.25415 - 0.407499i) q^{62} +(-0.313197 - 0.101764i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.752823 - 0.771759i) q^{65} +(-1.55540 + 4.78704i) q^{66} +(-1.84819 + 2.54381i) q^{67} +6.78610i q^{68} +(5.25906 + 3.82093i) q^{69} +(-0.124218 + 0.725818i) q^{70} +(-4.62101 + 3.35736i) q^{71} +(0.587785 + 0.809017i) q^{72} +(-2.79866 + 0.909340i) q^{73} -0.780139 q^{74} +(1.66272 - 4.71544i) q^{75} +5.44012 q^{76} +(1.57644 - 0.512218i) q^{77} +(0.283402 + 0.390069i) q^{78} +(6.86459 - 4.98742i) q^{79} +(1.60065 - 1.56138i) q^{80} +(-0.809017 - 0.587785i) q^{81} -12.5205i q^{82} +(10.1073 - 13.9114i) q^{83} +(0.101764 - 0.313197i) q^{84} +(-13.6048 + 6.72048i) q^{85} +(-0.765070 - 2.35464i) q^{86} +(5.72742 + 1.86095i) q^{87} +(-4.78704 - 1.55540i) q^{88} +(-1.06683 - 3.28336i) q^{89} +(-1.03982 + 1.97959i) q^{90} +(0.0490657 - 0.151009i) q^{91} +(-3.82093 + 5.25906i) q^{92} +1.31869i q^{93} +(-3.54381 - 2.57473i) q^{94} +(5.38752 + 10.9064i) q^{95} +(-0.809017 + 0.587785i) q^{96} +(-5.58986 - 7.69378i) q^{97} +(6.55426 - 2.12961i) q^{98} +5.03339 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + O(q^{10}) \) \( 16q + 4q^{4} + 4q^{5} - 4q^{6} + 4q^{9} + 2q^{10} + 2q^{11} + 20q^{13} + 2q^{14} - 2q^{15} - 4q^{16} - 30q^{17} - 4q^{20} - 2q^{21} - 20q^{22} - 10q^{23} - 16q^{24} + 24q^{25} + 4q^{26} - 10q^{29} - 6q^{30} - 18q^{31} - 20q^{33} + 12q^{34} - 34q^{35} - 4q^{36} + 20q^{37} + 10q^{38} - 4q^{39} - 2q^{40} + 22q^{41} + 8q^{44} - 4q^{45} - 6q^{46} - 50q^{47} - 52q^{49} + 12q^{50} + 28q^{51} + 20q^{52} + 30q^{53} + 4q^{54} + 18q^{55} - 2q^{56} - 30q^{58} + 20q^{59} + 2q^{60} + 12q^{61} + 50q^{62} + 10q^{63} + 4q^{64} - 8q^{65} + 2q^{66} - 50q^{67} + 6q^{69} - 12q^{70} - 28q^{71} + 20q^{73} + 12q^{74} + 28q^{75} + 20q^{76} + 100q^{77} - 20q^{79} + 4q^{80} - 4q^{81} - 30q^{83} + 2q^{84} - 4q^{85} - 6q^{86} + 10q^{87} + 70q^{89} + 8q^{90} + 12q^{91} - 30q^{92} + 2q^{94} - 30q^{95} - 4q^{96} - 10q^{97} + 60q^{98} - 12q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −0.587785 0.809017i −0.339358 0.467086i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 1.97959 + 1.03982i 0.885299 + 0.465021i
\(6\) −0.809017 0.587785i −0.330280 0.239962i
\(7\) 0.329315i 0.124469i 0.998062 + 0.0622347i \(0.0198227\pi\)
−0.998062 + 0.0622347i \(0.980177\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −0.309017 + 0.951057i −0.103006 + 0.317019i
\(10\) 2.20402 + 0.377200i 0.696973 + 0.119281i
\(11\) −1.55540 4.78704i −0.468972 1.44335i −0.853918 0.520408i \(-0.825780\pi\)
0.384946 0.922939i \(-0.374220\pi\)
\(12\) −0.951057 0.309017i −0.274546 0.0892055i
\(13\) −0.458554 0.148993i −0.127180 0.0413233i 0.244735 0.969590i \(-0.421299\pi\)
−0.371915 + 0.928267i \(0.621299\pi\)
\(14\) 0.101764 + 0.313197i 0.0271975 + 0.0837054i
\(15\) −0.322342 2.21271i −0.0832283 0.571320i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −3.98877 + 5.49007i −0.967418 + 1.33154i −0.0240779 + 0.999710i \(0.507665\pi\)
−0.943340 + 0.331827i \(0.892335\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 4.40115 + 3.19762i 1.00969 + 0.733585i 0.964145 0.265377i \(-0.0854964\pi\)
0.0455487 + 0.998962i \(0.485496\pi\)
\(20\) 2.21271 0.322342i 0.494778 0.0720778i
\(21\) 0.266421 0.193566i 0.0581379 0.0422397i
\(22\) −2.95855 4.07210i −0.630766 0.868175i
\(23\) −6.18239 + 2.00878i −1.28912 + 0.418860i −0.871783 0.489893i \(-0.837036\pi\)
−0.417335 + 0.908753i \(0.637036\pi\)
\(24\) −1.00000 −0.204124
\(25\) 2.83755 + 4.11683i 0.567510 + 0.823366i
\(26\) −0.482152 −0.0945578
\(27\) 0.951057 0.309017i 0.183031 0.0594703i
\(28\) 0.193566 + 0.266421i 0.0365806 + 0.0503489i
\(29\) −4.87203 + 3.53974i −0.904714 + 0.657313i −0.939672 0.342076i \(-0.888870\pi\)
0.0349585 + 0.999389i \(0.488870\pi\)
\(30\) −0.990331 2.00481i −0.180809 0.366026i
\(31\) −1.06685 0.775108i −0.191611 0.139214i 0.487844 0.872931i \(-0.337784\pi\)
−0.679455 + 0.733717i \(0.737784\pi\)
\(32\) 1.00000i 0.176777i
\(33\) −2.95855 + 4.07210i −0.515018 + 0.708862i
\(34\) −2.09702 + 6.45396i −0.359636 + 1.10685i
\(35\) −0.342428 + 0.651908i −0.0578809 + 0.110193i
\(36\) 0.309017 + 0.951057i 0.0515028 + 0.158509i
\(37\) −0.741956 0.241076i −0.121977 0.0396327i 0.247393 0.968915i \(-0.420426\pi\)
−0.369369 + 0.929283i \(0.620426\pi\)
\(38\) 5.17386 + 1.68109i 0.839312 + 0.272709i
\(39\) 0.148993 + 0.458554i 0.0238580 + 0.0734274i
\(40\) 2.00481 0.990331i 0.316988 0.156585i
\(41\) 3.86905 11.9077i 0.604245 1.85967i 0.102344 0.994749i \(-0.467366\pi\)
0.501901 0.864925i \(-0.332634\pi\)
\(42\) 0.193566 0.266421i 0.0298680 0.0411097i
\(43\) 2.47582i 0.377559i −0.982020 0.188779i \(-0.939547\pi\)
0.982020 0.188779i \(-0.0604531\pi\)
\(44\) −4.07210 2.95855i −0.613892 0.446019i
\(45\) −1.60065 + 1.56138i −0.238611 + 0.232757i
\(46\) −5.25906 + 3.82093i −0.775405 + 0.563365i
\(47\) −2.57473 3.54381i −0.375563 0.516918i 0.578839 0.815442i \(-0.303506\pi\)
−0.954402 + 0.298523i \(0.903506\pi\)
\(48\) −0.951057 + 0.309017i −0.137273 + 0.0446028i
\(49\) 6.89155 0.984507
\(50\) 3.97084 + 3.03849i 0.561562 + 0.429707i
\(51\) 6.78610 0.950244
\(52\) −0.458554 + 0.148993i −0.0635900 + 0.0206616i
\(53\) 0.990953 + 1.36393i 0.136118 + 0.187350i 0.871634 0.490157i \(-0.163060\pi\)
−0.735516 + 0.677507i \(0.763060\pi\)
\(54\) 0.809017 0.587785i 0.110093 0.0799874i
\(55\) 1.89860 11.0937i 0.256007 1.49588i
\(56\) 0.266421 + 0.193566i 0.0356021 + 0.0258664i
\(57\) 5.44012i 0.720562i
\(58\) −3.53974 + 4.87203i −0.464791 + 0.639729i
\(59\) −0.313909 + 0.966113i −0.0408675 + 0.125777i −0.969409 0.245452i \(-0.921064\pi\)
0.928541 + 0.371229i \(0.121064\pi\)
\(60\) −1.56138 1.60065i −0.201573 0.206644i
\(61\) 1.29419 + 3.98310i 0.165704 + 0.509984i 0.999087 0.0427111i \(-0.0135995\pi\)
−0.833384 + 0.552695i \(0.813599\pi\)
\(62\) −1.25415 0.407499i −0.159277 0.0517524i
\(63\) −0.313197 0.101764i −0.0394591 0.0128210i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −0.752823 0.771759i −0.0933762 0.0957249i
\(66\) −1.55540 + 4.78704i −0.191457 + 0.589244i
\(67\) −1.84819 + 2.54381i −0.225792 + 0.310776i −0.906850 0.421453i \(-0.861520\pi\)
0.681058 + 0.732230i \(0.261520\pi\)
\(68\) 6.78610i 0.822935i
\(69\) 5.25906 + 3.82093i 0.633116 + 0.459986i
\(70\) −0.124218 + 0.725818i −0.0148469 + 0.0867518i
\(71\) −4.62101 + 3.35736i −0.548413 + 0.398446i −0.827200 0.561907i \(-0.810068\pi\)
0.278787 + 0.960353i \(0.410068\pi\)
\(72\) 0.587785 + 0.809017i 0.0692712 + 0.0953436i
\(73\) −2.79866 + 0.909340i −0.327558 + 0.106430i −0.468180 0.883633i \(-0.655090\pi\)
0.140621 + 0.990063i \(0.455090\pi\)
\(74\) −0.780139 −0.0906893
\(75\) 1.66272 4.71544i 0.191994 0.544492i
\(76\) 5.44012 0.624025
\(77\) 1.57644 0.512218i 0.179652 0.0583726i
\(78\) 0.283402 + 0.390069i 0.0320890 + 0.0441667i
\(79\) 6.86459 4.98742i 0.772327 0.561128i −0.130339 0.991469i \(-0.541607\pi\)
0.902666 + 0.430341i \(0.141607\pi\)
\(80\) 1.60065 1.56138i 0.178959 0.174568i
\(81\) −0.809017 0.587785i −0.0898908 0.0653095i
\(82\) 12.5205i 1.38266i
\(83\) 10.1073 13.9114i 1.10942 1.52698i 0.287142 0.957888i \(-0.407295\pi\)
0.822274 0.569092i \(-0.192705\pi\)
\(84\) 0.101764 0.313197i 0.0111034 0.0341726i
\(85\) −13.6048 + 6.72048i −1.47565 + 0.728939i
\(86\) −0.765070 2.35464i −0.0824996 0.253908i
\(87\) 5.72742 + 1.86095i 0.614044 + 0.199515i
\(88\) −4.78704 1.55540i −0.510300 0.165807i
\(89\) −1.06683 3.28336i −0.113084 0.348036i 0.878459 0.477818i \(-0.158572\pi\)
−0.991543 + 0.129782i \(0.958572\pi\)
\(90\) −1.03982 + 1.97959i −0.109607 + 0.208667i
\(91\) 0.0490657 0.151009i 0.00514348 0.0158300i
\(92\) −3.82093 + 5.25906i −0.398359 + 0.548294i
\(93\) 1.31869i 0.136742i
\(94\) −3.54381 2.57473i −0.365517 0.265563i
\(95\) 5.38752 + 10.9064i 0.552748 + 1.11897i
\(96\) −0.809017 + 0.587785i −0.0825700 + 0.0599906i
\(97\) −5.58986 7.69378i −0.567564 0.781185i 0.424699 0.905334i \(-0.360380\pi\)
−0.992264 + 0.124149i \(0.960380\pi\)
\(98\) 6.55426 2.12961i 0.662080 0.215123i
\(99\) 5.03339 0.505875
\(100\) 4.71544 + 1.66272i 0.471544 + 0.166272i
\(101\) 19.2435 1.91480 0.957400 0.288765i \(-0.0932447\pi\)
0.957400 + 0.288765i \(0.0932447\pi\)
\(102\) 6.45396 2.09702i 0.639037 0.207636i
\(103\) −3.00175 4.13156i −0.295771 0.407095i 0.635107 0.772424i \(-0.280956\pi\)
−0.930878 + 0.365330i \(0.880956\pi\)
\(104\) −0.390069 + 0.283402i −0.0382494 + 0.0277898i
\(105\) 0.728679 0.106152i 0.0711118 0.0103594i
\(106\) 1.36393 + 0.990953i 0.132477 + 0.0962499i
\(107\) 15.3340i 1.48239i 0.671290 + 0.741194i \(0.265740\pi\)
−0.671290 + 0.741194i \(0.734260\pi\)
\(108\) 0.587785 0.809017i 0.0565597 0.0778477i
\(109\) 3.01609 9.28257i 0.288889 0.889109i −0.696317 0.717735i \(-0.745179\pi\)
0.985206 0.171375i \(-0.0548208\pi\)
\(110\) −1.62247 11.1374i −0.154697 1.06191i
\(111\) 0.241076 + 0.741956i 0.0228819 + 0.0704233i
\(112\) 0.313197 + 0.101764i 0.0295943 + 0.00961579i
\(113\) 1.44148 + 0.468364i 0.135603 + 0.0440599i 0.376032 0.926607i \(-0.377288\pi\)
−0.240429 + 0.970667i \(0.577288\pi\)
\(114\) −1.68109 5.17386i −0.157449 0.484577i
\(115\) −14.3274 2.45201i −1.33603 0.228651i
\(116\) −1.86095 + 5.72742i −0.172785 + 0.531778i
\(117\) 0.283402 0.390069i 0.0262005 0.0360619i
\(118\) 1.01583i 0.0935149i
\(119\) −1.80796 1.31356i −0.165736 0.120414i
\(120\) −1.97959 1.03982i −0.180711 0.0949221i
\(121\) −11.5973 + 8.42593i −1.05430 + 0.765993i
\(122\) 2.46169 + 3.38823i 0.222871 + 0.306756i
\(123\) −11.9077 + 3.86905i −1.07368 + 0.348861i
\(124\) −1.31869 −0.118422
\(125\) 1.33642 + 11.1002i 0.119533 + 0.992830i
\(126\) −0.329315 −0.0293377
\(127\) 11.9886 3.89534i 1.06382 0.345656i 0.275741 0.961232i \(-0.411077\pi\)
0.788077 + 0.615576i \(0.211077\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −2.00298 + 1.45525i −0.176352 + 0.128128i
\(130\) −0.954463 0.501351i −0.0837120 0.0439714i
\(131\) −11.3715 8.26187i −0.993532 0.721843i −0.0328399 0.999461i \(-0.510455\pi\)
−0.960692 + 0.277618i \(0.910455\pi\)
\(132\) 5.03339i 0.438101i
\(133\) −1.05303 + 1.44936i −0.0913089 + 0.125676i
\(134\) −0.971651 + 2.99043i −0.0839378 + 0.258334i
\(135\) 2.20402 + 0.377200i 0.189692 + 0.0324642i
\(136\) 2.09702 + 6.45396i 0.179818 + 0.553423i
\(137\) 6.36127 + 2.06690i 0.543480 + 0.176587i 0.567874 0.823115i \(-0.307766\pi\)
−0.0243949 + 0.999702i \(0.507766\pi\)
\(138\) 6.18239 + 2.00878i 0.526280 + 0.170999i
\(139\) 0.951151 + 2.92734i 0.0806755 + 0.248294i 0.983257 0.182226i \(-0.0583303\pi\)
−0.902581 + 0.430520i \(0.858330\pi\)
\(140\) 0.106152 + 0.728679i 0.00897148 + 0.0615846i
\(141\) −1.35362 + 4.16600i −0.113995 + 0.350841i
\(142\) −3.35736 + 4.62101i −0.281744 + 0.387787i
\(143\) 2.42686i 0.202944i
\(144\) 0.809017 + 0.587785i 0.0674181 + 0.0489821i
\(145\) −13.3253 + 1.94120i −1.10661 + 0.161208i
\(146\) −2.38068 + 1.72967i −0.197027 + 0.143148i
\(147\) −4.05075 5.57538i −0.334100 0.459850i
\(148\) −0.741956 + 0.241076i −0.0609884 + 0.0198163i
\(149\) −5.06465 −0.414912 −0.207456 0.978244i \(-0.566518\pi\)
−0.207456 + 0.978244i \(0.566518\pi\)
\(150\) 0.124187 4.99846i 0.0101398 0.408122i
\(151\) −16.9581 −1.38003 −0.690015 0.723795i \(-0.742396\pi\)
−0.690015 + 0.723795i \(0.742396\pi\)
\(152\) 5.17386 1.68109i 0.419656 0.136354i
\(153\) −3.98877 5.49007i −0.322473 0.443846i
\(154\) 1.34100 0.974296i 0.108061 0.0785110i
\(155\) −1.30594 2.64372i −0.104896 0.212349i
\(156\) 0.390069 + 0.283402i 0.0312305 + 0.0226903i
\(157\) 22.8284i 1.82190i 0.412513 + 0.910952i \(0.364651\pi\)
−0.412513 + 0.910952i \(0.635349\pi\)
\(158\) 4.98742 6.86459i 0.396778 0.546118i
\(159\) 0.520975 1.60340i 0.0413160 0.127158i
\(160\) 1.03982 1.97959i 0.0822050 0.156500i
\(161\) −0.661521 2.03595i −0.0521352 0.160456i
\(162\) −0.951057 0.309017i −0.0747221 0.0242787i
\(163\) 7.56873 + 2.45923i 0.592829 + 0.192622i 0.590039 0.807374i \(-0.299112\pi\)
0.00278919 + 0.999996i \(0.499112\pi\)
\(164\) −3.86905 11.9077i −0.302122 0.929837i
\(165\) −10.0910 + 4.98472i −0.785581 + 0.388060i
\(166\) 5.31370 16.3539i 0.412423 1.26931i
\(167\) −8.19979 + 11.2860i −0.634519 + 0.873340i −0.998308 0.0581411i \(-0.981483\pi\)
0.363790 + 0.931481i \(0.381483\pi\)
\(168\) 0.329315i 0.0254072i
\(169\) −10.3291 7.50457i −0.794550 0.577274i
\(170\) −10.8622 + 10.5957i −0.833092 + 0.812651i
\(171\) −4.40115 + 3.19762i −0.336564 + 0.244528i
\(172\) −1.45525 2.00298i −0.110962 0.152726i
\(173\) 18.5464 6.02610i 1.41006 0.458156i 0.497629 0.867390i \(-0.334204\pi\)
0.912430 + 0.409234i \(0.134204\pi\)
\(174\) 6.02216 0.456539
\(175\) −1.35573 + 0.934448i −0.102484 + 0.0706376i
\(176\) −5.03339 −0.379406
\(177\) 0.966113 0.313909i 0.0726175 0.0235949i
\(178\) −2.02923 2.79299i −0.152097 0.209344i
\(179\) −15.3641 + 11.1627i −1.14837 + 0.834338i −0.988263 0.152761i \(-0.951183\pi\)
−0.160105 + 0.987100i \(0.551183\pi\)
\(180\) −0.377200 + 2.20402i −0.0281149 + 0.164278i
\(181\) 15.3296 + 11.1376i 1.13944 + 0.827850i 0.987041 0.160470i \(-0.0513008\pi\)
0.152397 + 0.988319i \(0.451301\pi\)
\(182\) 0.158780i 0.0117695i
\(183\) 2.46169 3.38823i 0.181973 0.250465i
\(184\) −2.00878 + 6.18239i −0.148089 + 0.455772i
\(185\) −1.21809 1.24873i −0.0895559 0.0918086i
\(186\) 0.407499 + 1.25415i 0.0298793 + 0.0919589i
\(187\) 32.4853 + 10.5551i 2.37556 + 0.771867i
\(188\) −4.16600 1.35362i −0.303837 0.0987226i
\(189\) 0.101764 + 0.313197i 0.00740223 + 0.0227817i
\(190\) 8.49410 + 8.70775i 0.616227 + 0.631727i
\(191\) −3.73703 + 11.5014i −0.270402 + 0.832212i 0.719997 + 0.693977i \(0.244143\pi\)
−0.990399 + 0.138235i \(0.955857\pi\)
\(192\) −0.587785 + 0.809017i −0.0424197 + 0.0583858i
\(193\) 11.0357i 0.794368i −0.917739 0.397184i \(-0.869987\pi\)
0.917739 0.397184i \(-0.130013\pi\)
\(194\) −7.69378 5.58986i −0.552381 0.401329i
\(195\) −0.181868 + 1.06267i −0.0130238 + 0.0760997i
\(196\) 5.57538 4.05075i 0.398242 0.289339i
\(197\) −12.1208 16.6829i −0.863573 1.18861i −0.980706 0.195490i \(-0.937370\pi\)
0.117133 0.993116i \(-0.462630\pi\)
\(198\) 4.78704 1.55540i 0.340200 0.110538i
\(199\) −18.5313 −1.31365 −0.656826 0.754042i \(-0.728101\pi\)
−0.656826 + 0.754042i \(0.728101\pi\)
\(200\) 4.99846 + 0.124187i 0.353444 + 0.00878136i
\(201\) 3.14433 0.221784
\(202\) 18.3017 5.94657i 1.28770 0.418399i
\(203\) −1.16569 1.60443i −0.0818153 0.112609i
\(204\) 5.49007 3.98877i 0.384382 0.279270i
\(205\) 20.0410 19.5493i 1.39973 1.36538i
\(206\) −4.13156 3.00175i −0.287859 0.209142i
\(207\) 6.50055i 0.451819i
\(208\) −0.283402 + 0.390069i −0.0196504 + 0.0270464i
\(209\) 8.46159 26.0421i 0.585300 1.80137i
\(210\) 0.660212 0.326131i 0.0455590 0.0225052i
\(211\) 4.87129 + 14.9923i 0.335353 + 1.03211i 0.966548 + 0.256487i \(0.0825650\pi\)
−0.631194 + 0.775625i \(0.717435\pi\)
\(212\) 1.60340 + 0.520975i 0.110122 + 0.0357807i
\(213\) 5.43233 + 1.76507i 0.372217 + 0.120941i
\(214\) 4.73845 + 14.5835i 0.323914 + 0.996904i
\(215\) 2.57440 4.90110i 0.175573 0.334253i
\(216\) 0.309017 0.951057i 0.0210259 0.0647112i
\(217\) 0.255255 0.351328i 0.0173278 0.0238497i
\(218\) 9.76027i 0.661049i
\(219\) 2.38068 + 1.72967i 0.160872 + 0.116880i
\(220\) −4.98472 10.0910i −0.336070 0.680333i
\(221\) 2.64705 1.92319i 0.178060 0.129368i
\(222\) 0.458554 + 0.631145i 0.0307761 + 0.0423597i
\(223\) 21.0928 6.85345i 1.41248 0.458941i 0.499272 0.866445i \(-0.333601\pi\)
0.913203 + 0.407504i \(0.133601\pi\)
\(224\) 0.329315 0.0220033
\(225\) −4.79219 + 1.42650i −0.319479 + 0.0951000i
\(226\) 1.51566 0.100820
\(227\) 10.5538 3.42913i 0.700480 0.227600i 0.0629401 0.998017i \(-0.479952\pi\)
0.637539 + 0.770418i \(0.279952\pi\)
\(228\) −3.19762 4.40115i −0.211768 0.291473i
\(229\) 1.45525 1.05730i 0.0961658 0.0698685i −0.538663 0.842521i \(-0.681071\pi\)
0.634829 + 0.772653i \(0.281071\pi\)
\(230\) −14.3838 + 2.09540i −0.948443 + 0.138167i
\(231\) −1.34100 0.974296i −0.0882315 0.0641040i
\(232\) 6.02216i 0.395374i
\(233\) 2.17821 2.99805i 0.142699 0.196409i −0.731685 0.681643i \(-0.761266\pi\)
0.874384 + 0.485234i \(0.161266\pi\)
\(234\) 0.148993 0.458554i 0.00973999 0.0299766i
\(235\) −1.41198 9.69255i −0.0921077 0.632273i
\(236\) 0.313909 + 0.966113i 0.0204338 + 0.0628886i
\(237\) −8.06981 2.62204i −0.524191 0.170320i
\(238\) −2.12539 0.690580i −0.137768 0.0447636i
\(239\) 5.21415 + 16.0475i 0.337275 + 1.03803i 0.965590 + 0.260068i \(0.0837449\pi\)
−0.628315 + 0.777959i \(0.716255\pi\)
\(240\) −2.20402 0.377200i −0.142269 0.0243482i
\(241\) 6.37366 19.6161i 0.410564 1.26359i −0.505595 0.862771i \(-0.668727\pi\)
0.916159 0.400815i \(-0.131273\pi\)
\(242\) −8.42593 + 11.5973i −0.541639 + 0.745502i
\(243\) 1.00000i 0.0641500i
\(244\) 3.38823 + 2.46169i 0.216909 + 0.157594i
\(245\) 13.6424 + 7.16597i 0.871584 + 0.457817i
\(246\) −10.1293 + 7.35938i −0.645822 + 0.469217i
\(247\) −1.54174 2.12202i −0.0980986 0.135021i
\(248\) −1.25415 + 0.407499i −0.0796387 + 0.0258762i
\(249\) −17.1955 −1.08972
\(250\) 4.70116 + 10.1439i 0.297327 + 0.641558i
\(251\) 8.69615 0.548896 0.274448 0.961602i \(-0.411505\pi\)
0.274448 + 0.961602i \(0.411505\pi\)
\(252\) −0.313197 + 0.101764i −0.0197296 + 0.00641052i
\(253\) 19.2322 + 26.4709i 1.20912 + 1.66421i
\(254\) 10.1981 7.40938i 0.639888 0.464906i
\(255\) 13.4337 + 7.05632i 0.841250 + 0.441884i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 7.10714i 0.443331i −0.975123 0.221666i \(-0.928851\pi\)
0.975123 0.221666i \(-0.0711493\pi\)
\(258\) −1.45525 + 2.00298i −0.0905999 + 0.124700i
\(259\) 0.0793900 0.244337i 0.00493305 0.0151824i
\(260\) −1.06267 0.181868i −0.0659043 0.0112790i
\(261\) −1.86095 5.72742i −0.115190 0.354518i
\(262\) −13.3680 4.34352i −0.825877 0.268344i
\(263\) −15.0847 4.90130i −0.930160 0.302227i −0.195532 0.980697i \(-0.562643\pi\)
−0.734628 + 0.678470i \(0.762643\pi\)
\(264\) 1.55540 + 4.78704i 0.0957285 + 0.294622i
\(265\) 0.543439 + 3.73044i 0.0333832 + 0.229159i
\(266\) −0.553608 + 1.70383i −0.0339439 + 0.104469i
\(267\) −2.02923 + 2.79299i −0.124187 + 0.170928i
\(268\) 3.14433i 0.192070i
\(269\) 3.65623 + 2.65641i 0.222925 + 0.161964i 0.693642 0.720320i \(-0.256005\pi\)
−0.470718 + 0.882284i \(0.656005\pi\)
\(270\) 2.21271 0.322342i 0.134661 0.0196171i
\(271\) −9.00551 + 6.54289i −0.547046 + 0.397452i −0.826695 0.562650i \(-0.809782\pi\)
0.279649 + 0.960102i \(0.409782\pi\)
\(272\) 3.98877 + 5.49007i 0.241855 + 0.332884i
\(273\) −0.151009 + 0.0490657i −0.00913946 + 0.00296959i
\(274\) 6.68863 0.404075
\(275\) 15.2939 19.9868i 0.922257 1.20525i
\(276\) 6.50055 0.391287
\(277\) −21.7162 + 7.05603i −1.30480 + 0.423956i −0.877249 0.480035i \(-0.840624\pi\)
−0.427552 + 0.903991i \(0.640624\pi\)
\(278\) 1.80920 + 2.49014i 0.108508 + 0.149349i
\(279\) 1.06685 0.775108i 0.0638704 0.0464045i
\(280\) 0.326131 + 0.660212i 0.0194900 + 0.0394552i
\(281\) −23.2631 16.9016i −1.38776 1.00827i −0.996107 0.0881540i \(-0.971903\pi\)
−0.391653 0.920113i \(-0.628097\pi\)
\(282\) 4.38040i 0.260849i
\(283\) −11.3720 + 15.6522i −0.675992 + 0.930424i −0.999877 0.0156727i \(-0.995011\pi\)
0.323885 + 0.946097i \(0.395011\pi\)
\(284\) −1.76507 + 5.43233i −0.104738 + 0.322349i
\(285\) 5.65675 10.7692i 0.335077 0.637913i
\(286\) 0.749941 + 2.30808i 0.0443450 + 0.136480i
\(287\) 3.92139 + 1.27414i 0.231472 + 0.0752100i
\(288\) 0.951057 + 0.309017i 0.0560415 + 0.0182090i
\(289\) −8.97729 27.6292i −0.528076 1.62525i
\(290\) −12.0733 + 5.96394i −0.708967 + 0.350214i
\(291\) −2.93876 + 9.04458i −0.172273 + 0.530203i
\(292\) −1.72967 + 2.38068i −0.101221 + 0.139319i
\(293\) 15.0301i 0.878069i 0.898470 + 0.439035i \(0.144679\pi\)
−0.898470 + 0.439035i \(0.855321\pi\)
\(294\) −5.57538 4.05075i −0.325163 0.236245i
\(295\) −1.62600 + 1.58610i −0.0946691 + 0.0923463i
\(296\) −0.631145 + 0.458554i −0.0366846 + 0.0266529i
\(297\) −2.95855 4.07210i −0.171673 0.236287i
\(298\) −4.81677 + 1.56506i −0.279028 + 0.0906617i
\(299\) 3.13425 0.181259
\(300\) −1.42650 4.79219i −0.0823590 0.276677i
\(301\) 0.815324 0.0469945
\(302\) −16.1281 + 5.24034i −0.928069 + 0.301548i
\(303\) −11.3110 15.5683i −0.649803 0.894377i
\(304\) 4.40115 3.19762i 0.252423 0.183396i
\(305\) −1.57975 + 9.23063i −0.0904560 + 0.528544i
\(306\) −5.49007 3.98877i −0.313846 0.228023i
\(307\) 19.7061i 1.12468i −0.826905 0.562342i \(-0.809900\pi\)
0.826905 0.562342i \(-0.190100\pi\)
\(308\) 0.974296 1.34100i 0.0555157 0.0764108i
\(309\) −1.57811 + 4.85694i −0.0897758 + 0.276302i
\(310\) −2.05898 2.11077i −0.116942 0.119884i
\(311\) 8.72642 + 26.8572i 0.494830 + 1.52293i 0.817222 + 0.576323i \(0.195513\pi\)
−0.322392 + 0.946606i \(0.604487\pi\)
\(312\) 0.458554 + 0.148993i 0.0259605 + 0.00843508i
\(313\) −10.6973 3.47577i −0.604648 0.196462i −0.00933550 0.999956i \(-0.502972\pi\)
−0.595312 + 0.803494i \(0.702972\pi\)
\(314\) 7.05436 + 21.7111i 0.398101 + 1.22523i
\(315\) −0.514186 0.527119i −0.0289711 0.0296998i
\(316\) 2.62204 8.06981i 0.147501 0.453962i
\(317\) 13.6905 18.8433i 0.768935 1.05835i −0.227483 0.973782i \(-0.573050\pi\)
0.996418 0.0845658i \(-0.0269503\pi\)
\(318\) 1.68591i 0.0945412i
\(319\) 24.5229 + 17.8169i 1.37302 + 0.997555i
\(320\) 0.377200 2.20402i 0.0210861 0.123209i
\(321\) 12.4054 9.01307i 0.692403 0.503060i
\(322\) −1.25829 1.73189i −0.0701217 0.0965142i
\(323\) −35.1103 + 11.4080i −1.95359 + 0.634760i
\(324\) −1.00000 −0.0555556
\(325\) −0.687790 2.31057i −0.0381517 0.128167i
\(326\) 7.95823 0.440766
\(327\) −9.28257 + 3.01609i −0.513327 + 0.166790i
\(328\) −7.35938 10.1293i −0.406354 0.559298i
\(329\) 1.16703 0.847898i 0.0643405 0.0467461i
\(330\) −8.05672 + 7.85904i −0.443508 + 0.432626i
\(331\) −0.104633 0.0760205i −0.00575116 0.00417847i 0.584906 0.811101i \(-0.301131\pi\)
−0.590657 + 0.806923i \(0.701131\pi\)
\(332\) 17.1955i 0.943725i
\(333\) 0.458554 0.631145i 0.0251286 0.0345866i
\(334\) −4.31088 + 13.2675i −0.235881 + 0.725967i
\(335\) −6.30376 + 3.11392i −0.344411 + 0.170132i
\(336\) −0.101764 0.313197i −0.00555168 0.0170863i
\(337\) −0.511734 0.166272i −0.0278759 0.00905743i 0.295046 0.955483i \(-0.404665\pi\)
−0.322922 + 0.946426i \(0.604665\pi\)
\(338\) −12.1426 3.94538i −0.660473 0.214601i
\(339\) −0.468364 1.44148i −0.0254380 0.0782902i
\(340\) −7.05632 + 13.4337i −0.382683 + 0.728544i
\(341\) −2.05110 + 6.31264i −0.111073 + 0.341849i
\(342\) −3.19762 + 4.40115i −0.172908 + 0.237987i
\(343\) 4.57470i 0.247010i
\(344\) −2.00298 1.45525i −0.107993 0.0784618i
\(345\) 6.43770 + 13.0323i 0.346594 + 0.701637i
\(346\) 15.7765 11.4623i 0.848152 0.616218i
\(347\) −13.3519 18.3773i −0.716767 0.986546i −0.999625 0.0273838i \(-0.991282\pi\)
0.282858 0.959162i \(-0.408718\pi\)
\(348\) 5.72742 1.86095i 0.307022 0.0997575i
\(349\) −6.84350 −0.366324 −0.183162 0.983083i \(-0.558633\pi\)
−0.183162 + 0.983083i \(0.558633\pi\)
\(350\) −1.00062 + 1.30766i −0.0534854 + 0.0698972i
\(351\) −0.482152 −0.0257354
\(352\) −4.78704 + 1.55540i −0.255150 + 0.0829033i
\(353\) 9.86237 + 13.5744i 0.524921 + 0.722492i 0.986346 0.164688i \(-0.0526616\pi\)
−0.461425 + 0.887179i \(0.652662\pi\)
\(354\) 0.821825 0.597091i 0.0436795 0.0317350i
\(355\) −12.6388 + 1.84118i −0.670796 + 0.0977197i
\(356\) −2.79299 2.02923i −0.148028 0.107549i
\(357\) 2.23476i 0.118276i
\(358\) −11.1627 + 15.3641i −0.589966 + 0.812019i
\(359\) 2.30639 7.09834i 0.121727 0.374636i −0.871564 0.490282i \(-0.836894\pi\)
0.993291 + 0.115646i \(0.0368937\pi\)
\(360\) 0.322342 + 2.21271i 0.0169889 + 0.116620i
\(361\) 3.27401 + 10.0764i 0.172317 + 0.530336i
\(362\) 18.0210 + 5.85537i 0.947162 + 0.307752i
\(363\) 13.6334 + 4.42977i 0.715570 + 0.232503i
\(364\) −0.0490657 0.151009i −0.00257174 0.00791500i
\(365\) −6.48575 1.10998i −0.339480 0.0580991i
\(366\) 1.29419 3.98310i 0.0676483 0.208200i
\(367\) −3.61766 + 4.97929i −0.188841 + 0.259917i −0.892931 0.450194i \(-0.851355\pi\)
0.704090 + 0.710110i \(0.251355\pi\)
\(368\) 6.50055i 0.338865i
\(369\) 10.1293 + 7.35938i 0.527311 + 0.383114i
\(370\) −1.54435 0.811203i −0.0802872 0.0421725i
\(371\) −0.449163 + 0.326336i −0.0233194 + 0.0169425i
\(372\) 0.775108 + 1.06685i 0.0401875 + 0.0553134i
\(373\) 8.72051 2.83346i 0.451531 0.146711i −0.0744187 0.997227i \(-0.523710\pi\)
0.525949 + 0.850516i \(0.323710\pi\)
\(374\) 34.1571 1.76622
\(375\) 8.19470 7.60571i 0.423173 0.392757i
\(376\) −4.38040 −0.225902
\(377\) 2.76149 0.897262i 0.142224 0.0462113i
\(378\) 0.193566 + 0.266421i 0.00995598 + 0.0137032i
\(379\) −28.0179 + 20.3562i −1.43918 + 1.04563i −0.450972 + 0.892538i \(0.648923\pi\)
−0.988212 + 0.153090i \(0.951077\pi\)
\(380\) 10.7692 + 5.65675i 0.552449 + 0.290185i
\(381\) −10.1981 7.40938i −0.522466 0.379594i
\(382\) 12.0933i 0.618746i
\(383\) −5.59597 + 7.70220i −0.285941 + 0.393564i −0.927690 0.373350i \(-0.878209\pi\)
0.641749 + 0.766914i \(0.278209\pi\)
\(384\) −0.309017 + 0.951057i −0.0157695 + 0.0485334i
\(385\) 3.65333 + 0.625237i 0.186191 + 0.0318650i
\(386\) −3.41022 10.4956i −0.173576 0.534211i
\(387\) 2.35464 + 0.765070i 0.119693 + 0.0388907i
\(388\) −9.04458 2.93876i −0.459169 0.149193i
\(389\) 5.39091 + 16.5915i 0.273330 + 0.841224i 0.989656 + 0.143458i \(0.0458223\pi\)
−0.716326 + 0.697766i \(0.754178\pi\)
\(390\) 0.155418 + 1.06686i 0.00786989 + 0.0540228i
\(391\) 13.6318 41.9543i 0.689389 2.12172i
\(392\) 4.05075 5.57538i 0.204594 0.281599i
\(393\) 14.0559i 0.709028i
\(394\) −16.6829 12.1208i −0.840471 0.610638i
\(395\) 18.7751 2.73510i 0.944677 0.137618i
\(396\) 4.07210 2.95855i 0.204631 0.148673i
\(397\) −7.96751 10.9663i −0.399878 0.550385i 0.560835 0.827927i \(-0.310480\pi\)
−0.960713 + 0.277542i \(0.910480\pi\)
\(398\) −17.6244 + 5.72650i −0.883429 + 0.287044i
\(399\) 1.79151 0.0896879
\(400\) 4.79219 1.42650i 0.239610 0.0713250i
\(401\) 14.1105 0.704642 0.352321 0.935879i \(-0.385392\pi\)
0.352321 + 0.935879i \(0.385392\pi\)
\(402\) 2.99043 0.971651i 0.149149 0.0484615i
\(403\) 0.373720 + 0.514382i 0.0186163 + 0.0256232i
\(404\) 15.5683 11.3110i 0.774553 0.562746i
\(405\) −0.990331 2.00481i −0.0492099 0.0996196i
\(406\) −1.60443 1.16569i −0.0796267 0.0578522i
\(407\) 3.92674i 0.194641i
\(408\) 3.98877 5.49007i 0.197473 0.271799i
\(409\) 5.11848 15.7531i 0.253092 0.778938i −0.741107 0.671387i \(-0.765699\pi\)
0.994200 0.107552i \(-0.0343011\pi\)
\(410\) 13.0191 24.7855i 0.642967 1.22407i
\(411\) −2.06690 6.36127i −0.101953 0.313778i
\(412\) −4.85694 1.57811i −0.239284 0.0777481i
\(413\) −0.318156 0.103375i −0.0156554 0.00508675i
\(414\) −2.00878 6.18239i −0.0987262 0.303848i
\(415\) 34.4736 17.0292i 1.69224 0.835932i
\(416\) −0.148993 + 0.458554i −0.00730499 + 0.0224825i
\(417\) 1.80920 2.49014i 0.0885967 0.121943i
\(418\) 27.3823i 1.33931i
\(419\) 13.7294 + 9.97500i 0.670725 + 0.487310i 0.870268 0.492579i \(-0.163946\pi\)
−0.199543 + 0.979889i \(0.563946\pi\)
\(420\) 0.527119 0.514186i 0.0257208 0.0250897i
\(421\) 5.71360 4.15118i 0.278464 0.202316i −0.439783 0.898104i \(-0.644945\pi\)
0.718247 + 0.695788i \(0.244945\pi\)
\(422\) 9.26574 + 12.7532i 0.451049 + 0.620816i
\(423\) 4.16600 1.35362i 0.202558 0.0658151i
\(424\) 1.68591 0.0818751
\(425\) −33.9200 0.842746i −1.64536 0.0408792i
\(426\) 5.71189 0.276742
\(427\) −1.31169 + 0.426195i −0.0634773 + 0.0206250i
\(428\) 9.01307 + 12.4054i 0.435663 + 0.599639i
\(429\) 1.96337 1.42647i 0.0947925 0.0688708i
\(430\) 0.933880 5.45676i 0.0450357 0.263148i
\(431\) 14.4476 + 10.4968i 0.695915 + 0.505612i 0.878599 0.477560i \(-0.158479\pi\)
−0.182684 + 0.983172i \(0.558479\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −14.2125 + 19.5618i −0.683007 + 0.940078i −0.999965 0.00836116i \(-0.997339\pi\)
0.316958 + 0.948440i \(0.397339\pi\)
\(434\) 0.134195 0.413011i 0.00644158 0.0198252i
\(435\) 9.40289 + 9.63940i 0.450834 + 0.462174i
\(436\) −3.01609 9.28257i −0.144445 0.444555i
\(437\) −33.6330 10.9280i −1.60888 0.522758i
\(438\) 2.79866 + 0.909340i 0.133725 + 0.0434499i
\(439\) 5.84359 + 17.9847i 0.278899 + 0.858364i 0.988161 + 0.153419i \(0.0490284\pi\)
−0.709262 + 0.704945i \(0.750972\pi\)
\(440\) −7.85904 8.05672i −0.374665 0.384089i
\(441\) −2.12961 + 6.55426i −0.101410 + 0.312107i
\(442\) 1.92319 2.64705i 0.0914770 0.125907i
\(443\) 4.05769i 0.192787i 0.995343 + 0.0963933i \(0.0307307\pi\)
−0.995343 + 0.0963933i \(0.969269\pi\)
\(444\) 0.631145 + 0.458554i 0.0299528 + 0.0217620i
\(445\) 1.30222 7.60902i 0.0617312 0.360702i
\(446\) 17.9426 13.0360i 0.849605 0.617274i
\(447\) 2.97693 + 4.09739i 0.140804 + 0.193800i
\(448\) 0.313197 0.101764i 0.0147972 0.00480789i
\(449\) 6.26150 0.295498 0.147749 0.989025i \(-0.452797\pi\)
0.147749 + 0.989025i \(0.452797\pi\)
\(450\) −4.11683 + 2.83755i −0.194069 + 0.133763i
\(451\) −63.0207 −2.96753
\(452\) 1.44148 0.468364i 0.0678013 0.0220300i
\(453\) 9.96772 + 13.7194i 0.468325 + 0.644593i
\(454\) 8.97759 6.52260i 0.421339 0.306121i
\(455\) 0.254152 0.247916i 0.0119148 0.0116225i
\(456\) −4.40115 3.19762i −0.206103 0.149742i
\(457\) 1.94229i 0.0908564i −0.998968 0.0454282i \(-0.985535\pi\)
0.998968 0.0454282i \(-0.0144652\pi\)
\(458\) 1.05730 1.45525i 0.0494045 0.0679995i
\(459\) −2.09702 + 6.45396i −0.0978805 + 0.301245i
\(460\) −13.0323 + 6.43770i −0.607636 + 0.300159i
\(461\) 0.965342 + 2.97102i 0.0449605 + 0.138374i 0.971017 0.239011i \(-0.0768233\pi\)
−0.926056 + 0.377385i \(0.876823\pi\)
\(462\) −1.57644 0.512218i −0.0733428 0.0238305i
\(463\) −7.86182 2.55446i −0.365370 0.118716i 0.120578 0.992704i \(-0.461525\pi\)
−0.485947 + 0.873988i \(0.661525\pi\)
\(464\) 1.86095 + 5.72742i 0.0863925 + 0.265889i
\(465\) −1.37120 + 2.61047i −0.0635880 + 0.121058i
\(466\) 1.14515 3.52442i 0.0530482 0.163265i
\(467\) 17.9975 24.7715i 0.832827 1.14629i −0.154563 0.987983i \(-0.549397\pi\)
0.987390 0.158305i \(-0.0506029\pi\)
\(468\) 0.482152i 0.0222875i
\(469\) −0.837716 0.608636i −0.0386821 0.0281042i
\(470\) −4.33804 8.78184i −0.200099 0.405076i
\(471\) 18.4686 13.4182i 0.850986 0.618278i
\(472\) 0.597091 + 0.821825i 0.0274833 + 0.0378276i
\(473\) −11.8518 + 3.85090i −0.544948 + 0.177064i
\(474\) −8.48510 −0.389734
\(475\) −0.675593 + 27.1922i −0.0309983 + 1.24766i
\(476\) −2.23476 −0.102430
\(477\) −1.60340 + 0.520975i −0.0734145 + 0.0238538i
\(478\) 9.91790 + 13.6508i 0.453634 + 0.624374i
\(479\) −0.948887 + 0.689407i −0.0433558 + 0.0314998i −0.609252 0.792977i \(-0.708530\pi\)
0.565896 + 0.824476i \(0.308530\pi\)
\(480\) −2.21271 + 0.322342i −0.100996 + 0.0147128i
\(481\) 0.304308 + 0.221093i 0.0138753 + 0.0100810i
\(482\) 20.6256i 0.939471i
\(483\) −1.25829 + 1.73189i −0.0572541 + 0.0788035i
\(484\) −4.42977 + 13.6334i −0.201353 + 0.619702i
\(485\) −3.06548 21.0430i −0.139196 0.955512i
\(486\) 0.309017 + 0.951057i 0.0140173 + 0.0431408i
\(487\) −11.1802 3.63267i −0.506623 0.164612i 0.0445428 0.999007i \(-0.485817\pi\)
−0.551166 + 0.834396i \(0.685817\pi\)
\(488\) 3.98310 + 1.29419i 0.180307 + 0.0585851i
\(489\) −2.45923 7.56873i −0.111210 0.342270i
\(490\) 15.1891 + 2.59950i 0.686176 + 0.117433i
\(491\) 1.27640 3.92836i 0.0576031 0.177284i −0.918115 0.396314i \(-0.870289\pi\)
0.975718 + 0.219030i \(0.0702892\pi\)
\(492\) −7.35938 + 10.1293i −0.331786 + 0.456665i
\(493\) 40.8670i 1.84056i
\(494\) −2.12202 1.54174i −0.0954744 0.0693662i
\(495\) 9.96405 + 5.23382i 0.447851 + 0.235243i
\(496\) −1.06685 + 0.775108i −0.0479028 + 0.0348034i
\(497\) −1.10563 1.52177i −0.0495943 0.0682606i
\(498\) −16.3539 + 5.31370i −0.732835 + 0.238113i
\(499\) −9.59154 −0.429376 −0.214688 0.976683i \(-0.568873\pi\)
−0.214688 + 0.976683i \(0.568873\pi\)
\(500\) 7.60571 + 8.19470i 0.340138 + 0.366478i
\(501\) 13.9503 0.623254
\(502\) 8.27053 2.68726i 0.369132 0.119938i
\(503\) −9.96021 13.7091i −0.444104 0.611257i 0.527014 0.849857i \(-0.323312\pi\)
−0.971118 + 0.238600i \(0.923312\pi\)
\(504\) −0.266421 + 0.193566i −0.0118674 + 0.00862213i
\(505\) 38.0942 + 20.0098i 1.69517 + 0.890423i
\(506\) 26.4709 + 19.2322i 1.17677 + 0.854977i
\(507\) 12.7675i 0.567026i
\(508\) 7.40938 10.1981i 0.328738 0.452469i
\(509\) −10.5993 + 32.6213i −0.469805 + 1.44591i 0.383032 + 0.923735i \(0.374880\pi\)
−0.852837 + 0.522177i \(0.825120\pi\)
\(510\) 14.9567 + 2.55972i 0.662295 + 0.113346i
\(511\) −0.299459 0.921641i −0.0132473 0.0407710i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 5.17386 + 1.68109i 0.228432 + 0.0742220i
\(514\) −2.19623 6.75929i −0.0968714 0.298140i
\(515\) −1.64616 11.3001i −0.0725386 0.497941i
\(516\) −0.765070 + 2.35464i −0.0336803 + 0.103657i
\(517\) −12.9596 + 17.8374i −0.569964 + 0.784488i
\(518\) 0.256911i 0.0112880i
\(519\) −15.7765 11.4623i −0.692513 0.503140i
\(520\) −1.06686 + 0.155418i −0.0467851 + 0.00681552i
\(521\) −17.2185 + 12.5100i −0.754356 + 0.548072i −0.897174 0.441677i \(-0.854384\pi\)
0.142818 + 0.989749i \(0.454384\pi\)
\(522\) −3.53974 4.87203i −0.154930 0.213243i
\(523\) 39.3254 12.7776i 1.71958 0.558726i 0.727700 0.685896i \(-0.240589\pi\)
0.991881 + 0.127170i \(0.0405893\pi\)
\(524\) −14.0559 −0.614036
\(525\) 1.55286 + 0.547558i 0.0677726 + 0.0238974i
\(526\) −15.8609 −0.691570
\(527\) 8.51080 2.76533i 0.370736 0.120459i
\(528\) 2.95855 + 4.07210i 0.128755 + 0.177215i
\(529\) 15.5794 11.3191i 0.677364 0.492133i
\(530\) 1.66961 + 3.37992i 0.0725232 + 0.146814i
\(531\) −0.821825 0.597091i −0.0356642 0.0259115i
\(532\) 1.79151i 0.0776720i
\(533\) −3.54834 + 4.88387i −0.153696 + 0.211544i
\(534\) −1.06683 + 3.28336i −0.0461662 + 0.142085i
\(535\) −15.9445 + 30.3549i −0.689343 + 1.31236i
\(536\) 0.971651 + 2.99043i 0.0419689 + 0.129167i
\(537\) 18.0616 + 5.86857i 0.779416 + 0.253248i
\(538\) 4.29816 + 1.39656i 0.185307 + 0.0602099i
\(539\) −10.7191 32.9901i −0.461706 1.42099i
\(540\) 2.00481 0.990331i 0.0862731 0.0426171i
\(541\) −11.0695 + 34.0685i −0.475916 + 1.46472i 0.368803 + 0.929507i \(0.379768\pi\)
−0.844719 + 0.535210i \(0.820232\pi\)
\(542\) −6.54289 + 9.00551i −0.281041 + 0.386820i
\(543\) 18.9484i 0.813153i
\(544\) 5.49007 + 3.98877i 0.235385 + 0.171017i
\(545\) 15.6228 15.2395i 0.669208 0.652788i
\(546\) −0.128456 + 0.0933285i −0.00549739 + 0.00399409i
\(547\) 4.91537 + 6.76543i 0.210166 + 0.289269i 0.901066 0.433681i \(-0.142786\pi\)
−0.690900 + 0.722950i \(0.742786\pi\)
\(548\) 6.36127 2.06690i 0.271740 0.0882936i
\(549\) −4.18808 −0.178743
\(550\) 8.36911 23.7347i 0.356860 1.01205i
\(551\) −32.7613 −1.39568
\(552\) 6.18239 2.00878i 0.263140 0.0854994i
\(553\) 1.64243 + 2.26061i 0.0698433 + 0.0961310i
\(554\) −18.4729 + 13.4214i −0.784840 + 0.570219i
\(555\) −0.294269 + 1.71944i −0.0124910 + 0.0729863i
\(556\) 2.49014 + 1.80920i 0.105606 + 0.0767270i
\(557\) 28.1467i 1.19262i 0.802756 + 0.596308i \(0.203366\pi\)
−0.802756 + 0.596308i \(0.796634\pi\)
\(558\) 0.775108 1.06685i 0.0328130 0.0451632i
\(559\) −0.368880 + 1.13530i −0.0156020 + 0.0480179i
\(560\) 0.514186 + 0.527119i 0.0217283 + 0.0222749i
\(561\) −10.5551 32.4853i −0.445638 1.37153i
\(562\) −27.3474 8.88571i −1.15358 0.374821i
\(563\) −3.28183 1.06633i −0.138313 0.0449406i 0.239043 0.971009i \(-0.423166\pi\)
−0.377355 + 0.926069i \(0.623166\pi\)
\(564\) 1.35362 + 4.16600i 0.0569975 + 0.175420i
\(565\) 2.36652 + 2.42604i 0.0995601 + 0.102064i
\(566\) −5.97859 + 18.4002i −0.251299 + 0.773418i
\(567\) 0.193566 0.266421i 0.00812903 0.0111886i
\(568\) 5.71189i 0.239665i
\(569\) 14.0801 + 10.2298i 0.590270 + 0.428856i 0.842412 0.538834i \(-0.181135\pi\)
−0.252142 + 0.967690i \(0.581135\pi\)
\(570\) 2.05202 11.9902i 0.0859495 0.502212i
\(571\) 30.1126 21.8781i 1.26017 0.915570i 0.261408 0.965228i \(-0.415813\pi\)
0.998766 + 0.0496580i \(0.0158131\pi\)
\(572\) 1.42647 + 1.96337i 0.0596438 + 0.0820927i
\(573\) 11.5014 3.73703i 0.480478 0.156117i
\(574\) 4.12320 0.172099
\(575\) −25.8127 19.7519i −1.07646 0.823709i
\(576\) 1.00000 0.0416667
\(577\) −19.1201 + 6.21250i −0.795980 + 0.258630i −0.678649 0.734463i \(-0.737434\pi\)
−0.117332 + 0.993093i \(0.537434\pi\)
\(578\) −17.0758 23.5028i −0.710260 0.977589i
\(579\) −8.92808 + 6.48663i −0.371038 + 0.269575i
\(580\) −9.63940 + 9.40289i −0.400254 + 0.390434i
\(581\) 4.58125 + 3.32847i 0.190062 + 0.138088i
\(582\) 9.51004i 0.394204i
\(583\) 4.98786 6.86520i 0.206576 0.284327i
\(584\) −0.909340 + 2.79866i −0.0376287 + 0.115809i
\(585\) 0.966621 0.477490i 0.0399649 0.0197418i
\(586\) 4.64456 + 14.2945i 0.191865 + 0.590500i
\(587\) 5.81892 + 1.89068i 0.240173 + 0.0780368i 0.426630 0.904426i \(-0.359701\pi\)
−0.186457 + 0.982463i \(0.559701\pi\)
\(588\) −6.55426 2.12961i −0.270293 0.0878235i
\(589\) −2.21684 6.82274i −0.0913434 0.281126i
\(590\) −1.05628 + 2.01093i −0.0434864 + 0.0827887i
\(591\) −6.37229 + 19.6119i −0.262121 + 0.806726i
\(592\) −0.458554 + 0.631145i −0.0188465 + 0.0259399i
\(593\) 24.9458i 1.02440i 0.858866 + 0.512201i \(0.171170\pi\)
−0.858866 + 0.512201i \(0.828830\pi\)
\(594\) −4.07210 2.95855i −0.167080 0.121391i
\(595\) −2.21315 4.48026i −0.0907305 0.183673i
\(596\) −4.09739 + 2.97693i −0.167836 + 0.121940i
\(597\) 10.8925 + 14.9922i 0.445798 + 0.613589i
\(598\) 2.98085 0.968538i 0.121896 0.0396065i
\(599\) 0.941228 0.0384575 0.0192288 0.999815i \(-0.493879\pi\)
0.0192288 + 0.999815i \(0.493879\pi\)
\(600\) −2.83755 4.11683i −0.115842 0.168069i
\(601\) 10.2333 0.417426 0.208713 0.977977i \(-0.433073\pi\)
0.208713 + 0.977977i \(0.433073\pi\)
\(602\) 0.775419 0.251949i 0.0316037 0.0102687i
\(603\) −1.84819 2.54381i −0.0752641 0.103592i
\(604\) −13.7194 + 9.96772i −0.558234 + 0.405581i
\(605\) −31.7193 + 4.62078i −1.28957 + 0.187862i
\(606\) −15.5683 11.3110i −0.632420 0.459480i
\(607\) 6.80623i 0.276256i −0.990414 0.138128i \(-0.955891\pi\)
0.990414 0.138128i \(-0.0441086\pi\)
\(608\) 3.19762 4.40115i 0.129681 0.178490i
\(609\) −0.612839 + 1.88612i −0.0248335 + 0.0764296i
\(610\) 1.34999 + 9.26702i 0.0546596 + 0.375211i
\(611\) 0.652649 + 2.00865i 0.0264034 + 0.0812612i
\(612\) −6.45396 2.09702i −0.260886 0.0847670i
\(613\) −1.08367 0.352106i −0.0437690 0.0142214i 0.287051 0.957915i \(-0.407325\pi\)
−0.330820 + 0.943694i \(0.607325\pi\)
\(614\) −6.08951 18.7416i −0.245753 0.756349i
\(615\) −27.5955 4.72275i −1.11276 0.190440i
\(616\) 0.512218 1.57644i 0.0206378 0.0635167i
\(617\) 8.43925 11.6156i 0.339752 0.467628i −0.604617 0.796516i \(-0.706674\pi\)
0.944369 + 0.328888i \(0.106674\pi\)
\(618\) 5.10689i 0.205429i
\(619\) 0.385511 + 0.280090i 0.0154950 + 0.0112578i 0.595506 0.803351i \(-0.296952\pi\)
−0.580011 + 0.814609i \(0.696952\pi\)
\(620\) −2.61047 1.37120i −0.104839 0.0550688i
\(621\) −5.25906 + 3.82093i −0.211039 + 0.153329i
\(622\) 16.5986 + 22.8461i 0.665545 + 0.916044i
\(623\) 1.08126 0.351323i 0.0433198 0.0140754i
\(624\) 0.482152 0.0193015
\(625\) −8.89662 + 23.3634i −0.355865 + 0.934537i
\(626\) −11.2478 −0.449553
\(627\) −26.0421 + 8.46159i −1.04002 + 0.337923i
\(628\) 13.4182 + 18.4686i 0.535444 + 0.736976i
\(629\) 4.28301 3.11179i 0.170775 0.124075i
\(630\) −0.651908 0.342428i −0.0259727 0.0136427i
\(631\) 13.7958 + 10.0232i 0.549201 + 0.399018i 0.827491 0.561479i \(-0.189768\pi\)
−0.278290 + 0.960497i \(0.589768\pi\)
\(632\) 8.48510i 0.337519i
\(633\) 9.26574 12.7532i 0.368280 0.506894i
\(634\) 7.19752 22.1517i 0.285850 0.879756i
\(635\) 27.7830 + 4.75483i 1.10254 + 0.188690i
\(636\) −0.520975 1.60340i −0.0206580 0.0635788i
\(637\) −3.16015 1.02679i −0.125210 0.0406831i
\(638\) 28.8283 + 9.36690i 1.14133 + 0.370839i
\(639\) −1.76507 5.43233i −0.0698251 0.214900i
\(640\) −0.322342 2.21271i −0.0127417 0.0874651i
\(641\) −10.1127 + 31.1237i −0.399428 + 1.22931i 0.526031 + 0.850465i \(0.323680\pi\)
−0.925459 + 0.378848i \(0.876320\pi\)
\(642\) 9.01307 12.4054i 0.355717 0.489603i
\(643\) 12.5844i 0.496281i −0.968724 0.248141i \(-0.920180\pi\)
0.968724 0.248141i \(-0.0798195\pi\)
\(644\) −1.73189 1.25829i −0.0682458 0.0495835i
\(645\) −5.47827 + 0.798060i −0.215707 + 0.0314236i
\(646\) −29.8666 + 21.6994i −1.17509 + 0.853751i
\(647\) 15.0706 + 20.7430i 0.592488 + 0.815490i 0.994995 0.0999273i \(-0.0318610\pi\)
−0.402507 + 0.915417i \(0.631861\pi\)
\(648\) −0.951057 + 0.309017i −0.0373610 + 0.0121393i
\(649\) 5.11308 0.200706
\(650\) −1.36813 1.98494i −0.0536625 0.0778557i
\(651\) −0.434265 −0.0170202
\(652\) 7.56873 2.45923i 0.296414 0.0963109i
\(653\) −17.6669 24.3165i −0.691361 0.951577i −1.00000 0.000397632i \(-0.999873\pi\)
0.308639 0.951179i \(-0.400127\pi\)
\(654\) −7.89623 + 5.73695i −0.308767 + 0.224332i
\(655\) −13.9200 28.1794i −0.543900 1.10106i
\(656\) −10.1293 7.35938i −0.395483 0.287335i
\(657\) 2.94269i 0.114805i
\(658\) 0.847898 1.16703i 0.0330545 0.0454956i
\(659\) 2.48706 7.65438i 0.0968821 0.298172i −0.890858 0.454283i \(-0.849896\pi\)
0.987740 + 0.156110i \(0.0498956\pi\)
\(660\) −5.23382 + 9.96405i −0.203726 + 0.387850i
\(661\) −0.225140 0.692909i −0.00875692 0.0269510i 0.946583 0.322461i \(-0.104510\pi\)
−0.955340 + 0.295510i \(0.904510\pi\)
\(662\) −0.123004 0.0399663i −0.00478068 0.00155334i
\(663\) −3.11179 1.01108i −0.120852 0.0392672i
\(664\) −5.31370 16.3539i −0.206212 0.634654i
\(665\) −3.59164 + 1.77419i −0.139278 + 0.0688002i
\(666\) 0.241076 0.741956i 0.00934151 0.0287502i
\(667\) 23.0103 31.6709i 0.890961 1.22630i
\(668\) 13.9503i 0.539754i
\(669\) −17.9426 13.0360i −0.693700 0.504002i
\(670\) −5.03298 + 4.90949i −0.194441 + 0.189670i
\(671\) 17.0543 12.3907i 0.658373 0.478336i
\(672\) −0.193566 0.266421i −0.00746699 0.0102774i
\(673\) −7.04563 + 2.28926i −0.271589 + 0.0882446i −0.441645 0.897190i \(-0.645605\pi\)
0.170056 + 0.985434i \(0.445605\pi\)
\(674\) −0.538069 −0.0207256
\(675\) 3.97084 + 3.03849i 0.152838 + 0.116952i
\(676\) −12.7675 −0.491059
\(677\) 9.31563 3.02683i 0.358029 0.116331i −0.124479 0.992222i \(-0.539726\pi\)
0.482508 + 0.875892i \(0.339726\pi\)
\(678\) −0.890881 1.22619i −0.0342141 0.0470916i
\(679\) 2.53368 1.84082i 0.0972336 0.0706444i
\(680\) −2.55972 + 14.9567i −0.0981607 + 0.573564i
\(681\) −8.97759 6.52260i −0.344022 0.249947i
\(682\) 6.63750i 0.254163i
\(683\) 19.7406 27.1706i 0.755354 1.03966i −0.242233 0.970218i \(-0.577880\pi\)
0.997586 0.0694369i \(-0.0221202\pi\)
\(684\) −1.68109 + 5.17386i −0.0642781 + 0.197828i
\(685\) 10.4435 + 10.7062i 0.399025 + 0.409062i
\(686\) 1.41366 + 4.35079i 0.0539737 + 0.166114i
\(687\) −1.71075 0.555857i −0.0652692 0.0212073i
\(688\) −2.35464 0.765070i −0.0897699 0.0291680i
\(689\) −0.251189 0.773081i −0.00956955 0.0294520i
\(690\) 10.1498 + 10.4051i 0.386397 + 0.396117i
\(691\) 8.06874 24.8330i 0.306950 0.944693i −0.671993 0.740557i \(-0.734562\pi\)
0.978943 0.204136i \(-0.0654385\pi\)
\(692\) 11.4623 15.7765i 0.435732 0.599734i
\(693\) 1.65757i 0.0629659i
\(694\) −18.3773 13.3519i −0.697593 0.506831i
\(695\) −1.16102 + 6.78396i −0.0440399 + 0.257330i
\(696\) 4.87203 3.53974i 0.184674 0.134173i
\(697\) 49.9415 + 68.7385i 1.89167 + 2.60366i
\(698\) −6.50855 + 2.11476i −0.246352 + 0.0800447i
\(699\) −3.70579 −0.140166
\(700\) −0.547558 + 1.55286i −0.0206957 + 0.0586928i
\(701\) 41.8212 1.57956 0.789782 0.613388i \(-0.210194\pi\)
0.789782 + 0.613388i \(0.210194\pi\)
\(702\) −0.458554 + 0.148993i −0.0173070 + 0.00562339i
\(703\) −2.49459 3.43351i −0.0940852 0.129497i
\(704\) −4.07210 + 2.95855i −0.153473 + 0.111505i
\(705\) −7.01150 + 6.83946i −0.264068 + 0.257589i
\(706\) 13.5744 + 9.86237i 0.510879 + 0.371175i
\(707\) 6.33717i 0.238334i
\(708\) 0.597091 0.821825i 0.0224401 0.0308861i
\(709\) 2.74068 8.43495i 0.102928 0.316781i −0.886310 0.463092i \(-0.846740\pi\)
0.989239 + 0.146311i \(0.0467400\pi\)
\(710\) −11.4512 + 5.65666i −0.429757 + 0.212291i
\(711\) 2.62204 + 8.06981i 0.0983342 + 0.302642i
\(712\) −3.28336 1.06683i −0.123049 0.0399811i
\(713\) 8.15268 + 2.64897i 0.305320 + 0.0992045i
\(714\) 0.690580 + 2.12539i 0.0258443 + 0.0795406i
\(715\) −2.52350 + 4.80419i −0.0943735 + 0.179666i
\(716\) −5.86857 + 18.0616i −0.219319 + 0.674994i
\(717\) 9.91790 13.6508i 0.370391 0.509799i
\(718\) 7.46364i 0.278541i
\(719\) −2.14802 1.56062i −0.0801074 0.0582015i 0.547011 0.837126i \(-0.315766\pi\)
−0.627118 + 0.778924i \(0.715766\pi\)
\(720\) 0.990331 + 2.00481i 0.0369075 + 0.0747147i
\(721\) 1.36058 0.988522i 0.0506708 0.0368145i
\(722\) 6.22755 + 8.57148i 0.231765 + 0.318998i
\(723\) −19.6161 + 6.37366i −0.729531 + 0.237039i
\(724\) 18.9484 0.704211
\(725\) −28.3972 10.0132i −1.05464 0.371879i
\(726\) 14.3350 0.532023
\(727\) −6.69240 + 2.17449i −0.248207 + 0.0806475i −0.430479 0.902601i \(-0.641655\pi\)
0.182271 + 0.983248i \(0.441655\pi\)
\(728\) −0.0933285 0.128456i −0.00345898 0.00476088i
\(729\) 0.809017 0.587785i 0.0299636 0.0217698i
\(730\) −6.51132 + 0.948551i −0.240995 + 0.0351074i
\(731\) 13.5924 + 9.87546i 0.502733 + 0.365257i
\(732\) 4.18808i 0.154796i
\(733\) 11.9086 16.3908i 0.439854 0.605407i −0.530326 0.847794i \(-0.677930\pi\)
0.970180 + 0.242387i \(0.0779304\pi\)
\(734\) −1.90192 + 5.85350i −0.0702011 + 0.216057i
\(735\) −2.22144 15.2490i −0.0819389 0.562469i
\(736\) 2.00878 + 6.18239i 0.0740446 + 0.227886i
\(737\) 15.0520 + 4.89070i 0.554448 + 0.180151i
\(738\) 11.9077 + 3.86905i 0.438329 + 0.142422i
\(739\) −5.30003 16.3118i −0.194965 0.600039i −0.999977 0.00678134i \(-0.997841\pi\)
0.805012 0.593258i \(-0.202159\pi\)
\(740\) −1.71944 0.294269i −0.0632080 0.0108175i
\(741\) −0.810541 + 2.49459i −0.0297760 + 0.0916410i
\(742\) −0.326336 + 0.449163i −0.0119802 + 0.0164893i
\(743\) 9.94252i 0.364756i −0.983229 0.182378i \(-0.941621\pi\)
0.983229 0.182378i \(-0.0583794\pi\)
\(744\) 1.06685 + 0.775108i 0.0391124 + 0.0284169i
\(745\) −10.0259 5.26632i −0.367322 0.192943i
\(746\) 7.41811 5.38957i 0.271596 0.197326i
\(747\) 10.1073 + 13.9114i 0.369805 + 0.508993i
\(748\) 32.4853 10.5551i 1.18778 0.385933i
\(749\) −5.04970 −0.184512
\(750\) 5.44333 9.76576i 0.198762 0.356595i
\(751\) −17.6941 −0.645667 −0.322833 0.946456i \(-0.604635\pi\)
−0.322833 + 0.946456i \(0.604635\pi\)
\(752\) −4.16600 + 1.35362i −0.151919 + 0.0493613i
\(753\) −5.11147 7.03533i −0.186272 0.256382i
\(754\) 2.34906 1.70669i 0.0855478 0.0621541i
\(755\) −33.5701 17.6334i −1.22174 0.641744i
\(756\) 0.266421 + 0.193566i 0.00968965 + 0.00703994i
\(757\) 37.1272i 1.34941i −0.738087 0.674706i \(-0.764271\pi\)
0.738087 0.674706i \(-0.235729\pi\)
\(758\) −20.3562 + 28.0179i −0.739371 + 1.01766i
\(759\) 10.1110 31.1184i 0.367005 1.12953i
\(760\) 11.9902 + 2.05202i 0.434929 + 0.0744345i
\(761\) −15.3161 47.1381i −0.555208 1.70876i −0.695393 0.718630i \(-0.744770\pi\)
0.140184 0.990125i \(-0.455230\pi\)
\(762\) −11.9886 3.89534i −0.434302 0.141113i
\(763\) 3.05689 + 0.993244i 0.110667 + 0.0359578i
\(764\) 3.73703 + 11.5014i 0.135201 + 0.416106i
\(765\) −2.18744 15.0157i −0.0790872 0.542893i
\(766\) −2.94198 + 9.05448i −0.106298 + 0.327152i
\(767\) 0.287889 0.396245i 0.0103951 0.0143076i
\(768\) 1.00000i 0.0360844i