Properties

Label 150.2.h.b.79.4
Level 150
Weight 2
Character 150.79
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 79.4
Root \(-0.705457 - 0.309017i\)
Character \(\chi\) = 150.79
Dual form 150.2.h.b.19.4

$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

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

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 \(-0.980177\pi\)
0.998062 0.0622347i \(-0.0198227\pi\)
\(8\) 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 0.384946 + 0.922939i \(0.374220\pi\)
−0.853918 + 0.520408i \(0.825780\pi\)
\(12\) −0.951057 + 0.309017i −0.274546 + 0.0892055i
\(13\) −0.458554 + 0.148993i −0.127180 + 0.0413233i −0.371915 0.928267i \(-0.621299\pi\)
0.244735 + 0.969590i \(0.421299\pi\)
\(14\) 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 −0.943340 0.331827i \(-0.892335\pi\)
−0.0240779 0.999710i \(-0.507665\pi\)
\(18\) 1.00000i 0.235702i
\(19\) 4.40115 3.19762i 1.00969 0.733585i 0.0455487 0.998962i \(-0.485496\pi\)
0.964145 + 0.265377i \(0.0854964\pi\)
\(20\) 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 −0.417335 0.908753i \(-0.637036\pi\)
−0.871783 + 0.489893i \(0.837036\pi\)
\(24\) −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 0.0349585 0.999389i \(-0.488870\pi\)
−0.939672 + 0.342076i \(0.888870\pi\)
\(30\) −0.990331 + 2.00481i −0.180809 + 0.366026i
\(31\) −1.06685 + 0.775108i −0.191611 + 0.139214i −0.679455 0.733717i \(-0.737784\pi\)
0.487844 + 0.872931i \(0.337784\pi\)
\(32\) 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 −0.369369 0.929283i \(-0.620426\pi\)
0.247393 + 0.968915i \(0.420426\pi\)
\(38\) 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 0.501901 + 0.864925i \(0.332634\pi\)
0.102344 + 0.994749i \(0.467366\pi\)
\(42\) 0.193566 + 0.266421i 0.0298680 + 0.0411097i
\(43\) 2.47582i 0.377559i 0.982020 + 0.188779i \(0.0604531\pi\)
−0.982020 + 0.188779i \(0.939547\pi\)
\(44\) −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 −0.954402 0.298523i \(-0.903506\pi\)
0.578839 + 0.815442i \(0.303506\pi\)
\(48\) −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 −0.735516 0.677507i \(-0.763060\pi\)
0.871634 + 0.490157i \(0.163060\pi\)
\(54\) 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 0.928541 0.371229i \(-0.121064\pi\)
−0.969409 + 0.245452i \(0.921064\pi\)
\(60\) −1.56138 + 1.60065i −0.201573 + 0.206644i
\(61\) 1.29419 3.98310i 0.165704 0.509984i −0.833384 0.552695i \(-0.813599\pi\)
0.999087 + 0.0427111i \(0.0135995\pi\)
\(62\) −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 0.681058 0.732230i \(-0.261520\pi\)
−0.906850 + 0.421453i \(0.861520\pi\)
\(68\) 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 0.278787 0.960353i \(-0.410068\pi\)
−0.827200 + 0.561907i \(0.810068\pi\)
\(72\) 0.587785 0.809017i 0.0692712 0.0953436i
\(73\) −2.79866 0.909340i −0.327558 0.106430i 0.140621 0.990063i \(-0.455090\pi\)
−0.468180 + 0.883633i \(0.655090\pi\)
\(74\) −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 0.902666 0.430341i \(-0.141607\pi\)
−0.130339 + 0.991469i \(0.541607\pi\)
\(80\) 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 0.822274 + 0.569092i \(0.192705\pi\)
0.287142 + 0.957888i \(0.407295\pi\)
\(84\) 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 −0.991543 0.129782i \(-0.958572\pi\)
0.878459 + 0.477818i \(0.158572\pi\)
\(90\) −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 −0.992264 0.124149i \(-0.960380\pi\)
0.424699 + 0.905334i \(0.360380\pi\)
\(98\) 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 −0.930878 0.365330i \(-0.880956\pi\)
0.635107 + 0.772424i \(0.280956\pi\)
\(104\) −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 \(-0.734260\pi\)
0.671290 0.741194i \(-0.265740\pi\)
\(108\) 0.587785 + 0.809017i 0.0565597 + 0.0778477i
\(109\) 3.01609 + 9.28257i 0.288889 + 0.889109i 0.985206 + 0.171375i \(0.0548208\pi\)
−0.696317 + 0.717735i \(0.745179\pi\)
\(110\) −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 −0.240429 0.970667i \(-0.577288\pi\)
0.376032 + 0.926607i \(0.377288\pi\)
\(114\) −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 0.788077 0.615576i \(-0.211077\pi\)
0.275741 + 0.961232i \(0.411077\pi\)
\(128\) −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 −0.960692 0.277618i \(-0.910455\pi\)
−0.0328399 + 0.999461i \(0.510455\pi\)
\(132\) 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 −0.0243949 0.999702i \(-0.507766\pi\)
0.567874 + 0.823115i \(0.307766\pi\)
\(138\) 6.18239 2.00878i 0.526280 0.170999i
\(139\) 0.951151 2.92734i 0.0806755 0.248294i −0.902581 0.430520i \(-0.858330\pi\)
0.983257 + 0.182226i \(0.0583303\pi\)
\(140\) 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 \(-0.635349\pi\)
0.412513 0.910952i \(-0.364651\pi\)
\(158\) 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 0.00278919 0.999996i \(-0.499112\pi\)
0.590039 + 0.807374i \(0.299112\pi\)
\(164\) −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 0.363790 0.931481i \(-0.381483\pi\)
−0.998308 + 0.0581411i \(0.981483\pi\)
\(168\) 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 0.912430 0.409234i \(-0.134204\pi\)
0.497629 + 0.867390i \(0.334204\pi\)
\(174\) 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 −0.160105 0.987100i \(-0.551183\pi\)
−0.988263 + 0.152761i \(0.951183\pi\)
\(180\) −0.377200 2.20402i −0.0281149 0.164278i
\(181\) 15.3296 11.1376i 1.13944 0.827850i 0.152397 0.988319i \(-0.451301\pi\)
0.987041 + 0.160470i \(0.0513008\pi\)
\(182\) 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 −0.990399 0.138235i \(-0.955857\pi\)
0.719997 0.693977i \(-0.244143\pi\)
\(192\) −0.587785 0.809017i −0.0424197 0.0583858i
\(193\) 11.0357i 0.794368i 0.917739 + 0.397184i \(0.130013\pi\)
−0.917739 + 0.397184i \(0.869987\pi\)
\(194\) −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 0.117133 + 0.993116i \(0.462630\pi\)
−0.980706 + 0.195490i \(0.937370\pi\)
\(198\) 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 −0.631194 0.775625i \(-0.717435\pi\)
0.966548 0.256487i \(-0.0825650\pi\)
\(212\) 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 0.913203 0.407504i \(-0.133601\pi\)
0.499272 + 0.866445i \(0.333601\pi\)
\(224\) 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 0.637539 0.770418i \(-0.279952\pi\)
0.0629401 + 0.998017i \(0.479952\pi\)
\(228\) −3.19762 + 4.40115i −0.211768 + 0.291473i
\(229\) 1.45525 + 1.05730i 0.0961658 + 0.0698685i 0.634829 0.772653i \(-0.281071\pi\)
−0.538663 + 0.842521i \(0.681071\pi\)
\(230\) −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 0.874384 0.485234i \(-0.161266\pi\)
−0.731685 + 0.681643i \(0.761266\pi\)
\(234\) 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 −0.628315 0.777959i \(-0.716255\pi\)
0.965590 0.260068i \(-0.0837449\pi\)
\(240\) −2.20402 + 0.377200i −0.142269 + 0.0243482i
\(241\) 6.37366 + 19.6161i 0.410564 + 1.26359i 0.916159 + 0.400815i \(0.131273\pi\)
−0.505595 + 0.862771i \(0.668727\pi\)
\(242\) −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 \(0.0711493\pi\)
−0.975123 + 0.221666i \(0.928851\pi\)
\(258\) −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 −0.734628 0.678470i \(-0.762643\pi\)
−0.195532 + 0.980697i \(0.562643\pi\)
\(264\) 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 −0.470718 0.882284i \(-0.656005\pi\)
0.693642 + 0.720320i \(0.256005\pi\)
\(270\) 2.21271 + 0.322342i 0.134661 + 0.0196171i
\(271\) −9.00551 6.54289i −0.547046 0.397452i 0.279649 0.960102i \(-0.409782\pi\)
−0.826695 + 0.562650i \(0.809782\pi\)
\(272\) 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 −0.427552 0.903991i \(-0.640624\pi\)
−0.877249 + 0.480035i \(0.840624\pi\)
\(278\) 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 −0.391653 + 0.920113i \(0.628097\pi\)
−0.996107 + 0.0881540i \(0.971903\pi\)
\(282\) 4.38040i 0.260849i
\(283\) −11.3720 15.6522i −0.675992 0.930424i 0.323885 0.946097i \(-0.395011\pi\)
−0.999877 + 0.0156727i \(0.995011\pi\)
\(284\) −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 \(-0.855321\pi\)
0.898470 0.439035i \(-0.144679\pi\)
\(294\) −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 \(0.190100\pi\)
−0.826905 + 0.562342i \(0.809900\pi\)
\(308\) 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 −0.322392 0.946606i \(-0.604487\pi\)
0.817222 0.576323i \(-0.195513\pi\)
\(312\) 0.458554 0.148993i 0.0259605 0.00843508i
\(313\) −10.6973 + 3.47577i −0.604648 + 0.196462i −0.595312 0.803494i \(-0.702972\pi\)
−0.00933550 + 0.999956i \(0.502972\pi\)
\(314\) 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 0.996418 + 0.0845658i \(0.0269503\pi\)
−0.227483 + 0.973782i \(0.573050\pi\)
\(318\) 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 −0.590657 0.806923i \(-0.701131\pi\)
0.584906 + 0.811101i \(0.301131\pi\)
\(332\) 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 −0.322922 0.946426i \(-0.604665\pi\)
0.295046 + 0.955483i \(0.404665\pi\)
\(338\) −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 0.282858 + 0.959162i \(0.408718\pi\)
−0.999625 + 0.0273838i \(0.991282\pi\)
\(348\) 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 −0.461425 0.887179i \(-0.652662\pi\)
0.986346 + 0.164688i \(0.0526616\pi\)
\(354\) 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 0.993291 0.115646i \(-0.0368937\pi\)
−0.871564 + 0.490282i \(0.836894\pi\)
\(360\) 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 0.704090 0.710110i \(-0.251355\pi\)
−0.892931 + 0.450194i \(0.851355\pi\)
\(368\) 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 0.525949 0.850516i \(-0.323710\pi\)
−0.0744187 + 0.997227i \(0.523710\pi\)
\(374\) 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 −0.988212 0.153090i \(-0.951077\pi\)
−0.450972 0.892538i \(-0.648923\pi\)
\(380\) 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 0.641749 0.766914i \(-0.278209\pi\)
−0.927690 + 0.373350i \(0.878209\pi\)
\(384\) −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 −0.716326 0.697766i \(-0.754178\pi\)
0.989656 0.143458i \(-0.0458223\pi\)
\(390\) 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 −0.960713 0.277542i \(-0.910480\pi\)
0.560835 + 0.827927i \(0.310480\pi\)
\(398\) −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 0.994200 + 0.107552i \(0.0343011\pi\)
−0.741107 + 0.671387i \(0.765699\pi\)
\(410\) 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 −0.199543 0.979889i \(-0.563946\pi\)
0.870268 + 0.492579i \(0.163946\pi\)
\(420\) 0.527119 + 0.514186i 0.0257208 + 0.0250897i
\(421\) 5.71360 + 4.15118i 0.278464 + 0.202316i 0.718247 0.695788i \(-0.244945\pi\)
−0.439783 + 0.898104i \(0.644945\pi\)
\(422\) 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 −0.182684 0.983172i \(-0.558479\pi\)
0.878599 + 0.477560i \(0.158479\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −14.2125 19.5618i −0.683007 0.940078i 0.316958 0.948440i \(-0.397339\pi\)
−0.999965 + 0.00836116i \(0.997339\pi\)
\(434\) 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 −0.709262 0.704945i \(-0.750972\pi\)
0.988161 0.153419i \(-0.0490284\pi\)
\(440\) −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 \(-0.969269\pi\)
0.995343 0.0963933i \(-0.0307307\pi\)
\(444\) 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 \(0.0144652\pi\)
−0.998968 + 0.0454282i \(0.985535\pi\)
\(458\) 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 −0.926056 0.377385i \(-0.876823\pi\)
0.971017 + 0.239011i \(0.0768233\pi\)
\(462\) −1.57644 + 0.512218i −0.0733428 + 0.0238305i
\(463\) −7.86182 + 2.55446i −0.365370 + 0.118716i −0.485947 0.873988i \(-0.661525\pi\)
0.120578 + 0.992704i \(0.461525\pi\)
\(464\) 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 0.987390 + 0.158305i \(0.0506029\pi\)
−0.154563 + 0.987983i \(0.549397\pi\)
\(468\) 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 0.565896 0.824476i \(-0.308530\pi\)
−0.609252 + 0.792977i \(0.708530\pi\)
\(480\) −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 −0.551166 0.834396i \(-0.685817\pi\)
0.0445428 + 0.999007i \(0.485817\pi\)
\(488\) 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 0.975718 0.219030i \(-0.0702892\pi\)
−0.918115 + 0.396314i \(0.870289\pi\)
\(492\) −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 −0.971118 0.238600i \(-0.923312\pi\)
0.527014 + 0.849857i \(0.323312\pi\)
\(504\) −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 −0.852837 0.522177i \(-0.825120\pi\)
0.383032 0.923735i \(-0.374880\pi\)
\(510\) 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 0.142818 0.989749i \(-0.454384\pi\)
−0.897174 + 0.441677i \(0.854384\pi\)
\(522\) −3.53974 + 4.87203i −0.154930 + 0.213243i
\(523\) 39.3254 + 12.7776i 1.71958 + 0.558726i 0.991881 0.127170i \(-0.0405893\pi\)
0.727700 + 0.685896i \(0.240589\pi\)
\(524\) −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 −0.844719 0.535210i \(-0.820232\pi\)
0.368803 0.929507i \(-0.379768\pi\)
\(542\) −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 −0.690900 0.722950i \(-0.742786\pi\)
0.901066 + 0.433681i \(0.142786\pi\)
\(548\) 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 \(-0.796634\pi\)
0.802756 0.596308i \(-0.203366\pi\)
\(558\) 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 −0.377355 0.926069i \(-0.623166\pi\)
0.239043 + 0.971009i \(0.423166\pi\)
\(564\) 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 −0.252142 0.967690i \(-0.581135\pi\)
0.842412 + 0.538834i \(0.181135\pi\)
\(570\) 2.05202 + 11.9902i 0.0859495 + 0.502212i
\(571\) 30.1126 + 21.8781i 1.26017 + 0.915570i 0.998766 0.0496580i \(-0.0158131\pi\)
0.261408 + 0.965228i \(0.415813\pi\)
\(572\) 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 −0.117332 0.993093i \(-0.537434\pi\)
−0.678649 + 0.734463i \(0.737434\pi\)
\(578\) −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 −0.186457 0.982463i \(-0.559701\pi\)
0.426630 + 0.904426i \(0.359701\pi\)
\(588\) −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 \(-0.828830\pi\)
0.858866 0.512201i \(-0.171170\pi\)
\(594\) −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 \(0.0441086\pi\)
−0.990414 + 0.138128i \(0.955891\pi\)
\(608\) 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 −0.330820 0.943694i \(-0.607325\pi\)
0.287051 + 0.957915i \(0.407325\pi\)
\(614\) −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 0.944369 0.328888i \(-0.106674\pi\)
−0.604617 + 0.796516i \(0.706674\pi\)
\(618\) 5.10689i 0.205429i
\(619\) 0.385511 0.280090i 0.0154950 0.0112578i −0.580011 0.814609i \(-0.696952\pi\)
0.595506 + 0.803351i \(0.296952\pi\)
\(620\) −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 −0.278290 0.960497i \(-0.589768\pi\)
0.827491 + 0.561479i \(0.189768\pi\)
\(632\) 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 −0.925459 0.378848i \(-0.876320\pi\)
0.526031 0.850465i \(-0.323680\pi\)
\(642\) 9.01307 + 12.4054i 0.355717 + 0.489603i
\(643\) 12.5844i 0.496281i 0.968724 + 0.248141i \(0.0798195\pi\)
−0.968724 + 0.248141i \(0.920180\pi\)
\(644\) −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 −0.402507 0.915417i \(-0.631861\pi\)
0.994995 + 0.0999273i \(0.0318610\pi\)
\(648\) −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 0.308639 + 0.951179i \(0.400127\pi\)
−1.00000 0.000397632i \(0.999873\pi\)
\(654\) −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 0.987740 0.156110i \(-0.0498956\pi\)
−0.890858 + 0.454283i \(0.849896\pi\)
\(660\) −5.23382 9.96405i −0.203726 0.387850i
\(661\) −0.225140 + 0.692909i −0.00875692 + 0.0269510i −0.955340 0.295510i \(-0.904510\pi\)
0.946583 + 0.322461i \(0.104510\pi\)
\(662\) −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 0.170056 0.985434i \(-0.445605\pi\)
−0.441645 + 0.897190i \(0.645605\pi\)
\(674\) −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 0.482508 0.875892i \(-0.339726\pi\)
−0.124479 + 0.992222i \(0.539726\pi\)
\(678\) −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 0.997586 + 0.0694369i \(0.0221202\pi\)
−0.242233 + 0.970218i \(0.577880\pi\)
\(684\) −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 0.978943 + 0.204136i \(0.0654385\pi\)
−0.671993 + 0.740557i \(0.734562\pi\)
\(692\) 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 0.989239 0.146311i \(-0.0467400\pi\)
−0.886310 + 0.463092i \(0.846740\pi\)
\(710\) −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 −0.627118 0.778924i \(-0.715766\pi\)
0.547011 + 0.837126i \(0.315766\pi\)
\(720\) 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 0.182271 0.983248i \(-0.441655\pi\)
−0.430479 + 0.902601i \(0.641655\pi\)
\(728\) −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 0.970180 0.242387i \(-0.0779304\pi\)
−0.530326 + 0.847794i \(0.677930\pi\)
\(734\) −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 0.805012 + 0.593258i \(0.202159\pi\)
−0.999977 + 0.00678134i \(0.997841\pi\)
\(740\) −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 \(0.0583794\pi\)
−0.983229 + 0.182378i \(0.941621\pi\)
\(744\) 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 \(0.235729\pi\)
−0.738087 + 0.674706i \(0.764271\pi\)
\(758\) −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 0.140184 + 0.990125i \(0.455230\pi\)
−0.695393 + 0.718630i \(0.744770\pi\)
\(762\) −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