Properties

Label 280.2.bj.e.171.1
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.1
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40227 - 0.183437i) q^{2} +(-0.908317 - 0.524417i) q^{3} +(1.93270 + 0.514454i) q^{4} +(0.500000 + 0.866025i) q^{5} +(1.17750 + 0.901991i) q^{6} +(-2.14799 + 1.54472i) q^{7} +(-2.61579 - 1.07593i) q^{8} +(-0.949974 - 1.64540i) q^{9} +O(q^{10})\) \(q+(-1.40227 - 0.183437i) q^{2} +(-0.908317 - 0.524417i) q^{3} +(1.93270 + 0.514454i) q^{4} +(0.500000 + 0.866025i) q^{5} +(1.17750 + 0.901991i) q^{6} +(-2.14799 + 1.54472i) q^{7} +(-2.61579 - 1.07593i) q^{8} +(-0.949974 - 1.64540i) q^{9} +(-0.542272 - 1.30612i) q^{10} +(-1.17590 + 2.03673i) q^{11} +(-1.48572 - 1.48083i) q^{12} +1.21209 q^{13} +(3.29541 - 1.77208i) q^{14} -1.04883i q^{15} +(3.47067 + 1.98857i) q^{16} +(-4.23538 - 2.44530i) q^{17} +(1.03029 + 2.48155i) q^{18} +(-2.21189 + 1.27704i) q^{19} +(0.520821 + 1.93100i) q^{20} +(2.76113 - 0.276650i) q^{21} +(2.02254 - 2.64033i) q^{22} +(-7.59015 + 4.38218i) q^{23} +(1.81173 + 2.34905i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-1.69968 - 0.222342i) q^{26} +5.13923i q^{27} +(-4.94611 + 1.88043i) q^{28} +5.21449i q^{29} +(-0.192395 + 1.47074i) q^{30} +(-1.68841 + 2.92441i) q^{31} +(-4.50203 - 3.42516i) q^{32} +(2.13619 - 1.23333i) q^{33} +(5.49058 + 4.20589i) q^{34} +(-2.41176 - 1.08785i) q^{35} +(-0.989532 - 3.66879i) q^{36} +(-6.16385 + 3.55870i) q^{37} +(3.33591 - 1.38500i) q^{38} +(-1.10097 - 0.635642i) q^{39} +(-0.376114 - 2.80331i) q^{40} -3.18809i q^{41} +(-3.92259 - 0.118555i) q^{42} +11.6101 q^{43} +(-3.32048 + 3.33144i) q^{44} +(0.949974 - 1.64540i) q^{45} +(11.4473 - 4.75267i) q^{46} +(-5.01045 - 8.67836i) q^{47} +(-2.10963 - 3.62633i) q^{48} +(2.22771 - 6.63606i) q^{49} +(0.859994 - 1.12268i) q^{50} +(2.56471 + 4.44221i) q^{51} +(2.34262 + 0.623566i) q^{52} +(7.03102 + 4.05936i) q^{53} +(0.942723 - 7.20657i) q^{54} -2.35181 q^{55} +(7.28070 - 1.72957i) q^{56} +2.67880 q^{57} +(0.956528 - 7.31210i) q^{58} +(-9.90904 - 5.72099i) q^{59} +(0.539577 - 2.02708i) q^{60} +(-0.560848 - 0.971417i) q^{61} +(2.90404 - 3.79108i) q^{62} +(4.58221 + 2.06687i) q^{63} +(5.68475 + 5.62882i) q^{64} +(0.606047 + 1.04970i) q^{65} +(-3.22174 + 1.33760i) q^{66} +(0.386838 - 0.670023i) q^{67} +(-6.92774 - 6.90494i) q^{68} +9.19235 q^{69} +(3.18237 + 1.96787i) q^{70} -2.53216i q^{71} +(0.714597 + 5.32614i) q^{72} +(11.1488 + 6.43675i) q^{73} +(9.29615 - 3.85957i) q^{74} +(0.908317 - 0.524417i) q^{75} +(-4.93190 + 1.33021i) q^{76} +(-0.620335 - 6.19130i) q^{77} +(1.42725 + 1.09330i) q^{78} +(1.34425 - 0.776104i) q^{79} +(0.0131831 + 3.99998i) q^{80} +(-0.154821 + 0.268158i) q^{81} +(-0.584813 + 4.47056i) q^{82} -4.47506i q^{83} +(5.47876 + 0.885792i) q^{84} -4.89060i q^{85} +(-16.2805 - 2.12972i) q^{86} +(2.73457 - 4.73641i) q^{87} +(5.26730 - 4.06247i) q^{88} +(-9.58219 + 5.53228i) q^{89} +(-1.63394 + 2.13303i) q^{90} +(-2.60356 + 1.87234i) q^{91} +(-16.9239 + 4.56466i) q^{92} +(3.06722 - 1.77086i) q^{93} +(5.43406 + 13.0885i) q^{94} +(-2.21189 - 1.27704i) q^{95} +(2.29306 + 5.47207i) q^{96} -13.3588i q^{97} +(-4.34113 + 8.89688i) q^{98} +4.46831 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40227 0.183437i −0.991552 0.129709i
\(3\) −0.908317 0.524417i −0.524417 0.302772i 0.214323 0.976763i \(-0.431245\pi\)
−0.738740 + 0.673991i \(0.764579\pi\)
\(4\) 1.93270 + 0.514454i 0.966351 + 0.257227i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) 1.17750 + 0.901991i 0.480714 + 0.368236i
\(7\) −2.14799 + 1.54472i −0.811863 + 0.583848i
\(8\) −2.61579 1.07593i −0.924823 0.380399i
\(9\) −0.949974 1.64540i −0.316658 0.548468i
\(10\) −0.542272 1.30612i −0.171482 0.413030i
\(11\) −1.17590 + 2.03673i −0.354549 + 0.614096i −0.987041 0.160471i \(-0.948699\pi\)
0.632492 + 0.774567i \(0.282032\pi\)
\(12\) −1.48572 1.48083i −0.428890 0.427478i
\(13\) 1.21209 0.336174 0.168087 0.985772i \(-0.446241\pi\)
0.168087 + 0.985772i \(0.446241\pi\)
\(14\) 3.29541 1.77208i 0.880735 0.473609i
\(15\) 1.04883i 0.270808i
\(16\) 3.47067 + 1.98857i 0.867669 + 0.497143i
\(17\) −4.23538 2.44530i −1.02723 0.593072i −0.111041 0.993816i \(-0.535418\pi\)
−0.916190 + 0.400744i \(0.868752\pi\)
\(18\) 1.03029 + 2.48155i 0.242841 + 0.584908i
\(19\) −2.21189 + 1.27704i −0.507442 + 0.292972i −0.731782 0.681539i \(-0.761311\pi\)
0.224339 + 0.974511i \(0.427978\pi\)
\(20\) 0.520821 + 1.93100i 0.116459 + 0.431784i
\(21\) 2.76113 0.276650i 0.602528 0.0603700i
\(22\) 2.02254 2.64033i 0.431207 0.562920i
\(23\) −7.59015 + 4.38218i −1.58266 + 0.913747i −0.588186 + 0.808726i \(0.700158\pi\)
−0.994470 + 0.105021i \(0.966509\pi\)
\(24\) 1.81173 + 2.34905i 0.369819 + 0.479498i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −1.69968 0.222342i −0.333334 0.0436049i
\(27\) 5.13923i 0.989045i
\(28\) −4.94611 + 1.88043i −0.934726 + 0.355369i
\(29\) 5.21449i 0.968307i 0.874983 + 0.484153i \(0.160872\pi\)
−0.874983 + 0.484153i \(0.839128\pi\)
\(30\) −0.192395 + 1.47074i −0.0351263 + 0.268520i
\(31\) −1.68841 + 2.92441i −0.303247 + 0.525239i −0.976869 0.213837i \(-0.931404\pi\)
0.673623 + 0.739075i \(0.264737\pi\)
\(32\) −4.50203 3.42516i −0.795855 0.605488i
\(33\) 2.13619 1.23333i 0.371863 0.214695i
\(34\) 5.49058 + 4.20589i 0.941626 + 0.721303i
\(35\) −2.41176 1.08785i −0.407661 0.183881i
\(36\) −0.989532 3.66879i −0.164922 0.611465i
\(37\) −6.16385 + 3.55870i −1.01333 + 0.585046i −0.912165 0.409823i \(-0.865590\pi\)
−0.101165 + 0.994870i \(0.532257\pi\)
\(38\) 3.33591 1.38500i 0.541157 0.224677i
\(39\) −1.10097 0.635642i −0.176296 0.101784i
\(40\) −0.376114 2.80331i −0.0594689 0.443242i
\(41\) 3.18809i 0.497897i −0.968517 0.248948i \(-0.919915\pi\)
0.968517 0.248948i \(-0.0800849\pi\)
\(42\) −3.92259 0.118555i −0.605268 0.0182935i
\(43\) 11.6101 1.77053 0.885264 0.465089i \(-0.153978\pi\)
0.885264 + 0.465089i \(0.153978\pi\)
\(44\) −3.32048 + 3.33144i −0.500581 + 0.502233i
\(45\) 0.949974 1.64540i 0.141614 0.245282i
\(46\) 11.4473 4.75267i 1.68781 0.700742i
\(47\) −5.01045 8.67836i −0.730849 1.26587i −0.956521 0.291665i \(-0.905791\pi\)
0.225671 0.974204i \(-0.427543\pi\)
\(48\) −2.10963 3.62633i −0.304499 0.523416i
\(49\) 2.22771 6.63606i 0.318244 0.948009i
\(50\) 0.859994 1.12268i 0.121622 0.158771i
\(51\) 2.56471 + 4.44221i 0.359132 + 0.622034i
\(52\) 2.34262 + 0.623566i 0.324862 + 0.0864731i
\(53\) 7.03102 + 4.05936i 0.965784 + 0.557596i 0.897948 0.440101i \(-0.145057\pi\)
0.0678359 + 0.997696i \(0.478391\pi\)
\(54\) 0.942723 7.20657i 0.128288 0.980690i
\(55\) −2.35181 −0.317118
\(56\) 7.28070 1.72957i 0.972924 0.231124i
\(57\) 2.67880 0.354815
\(58\) 0.956528 7.31210i 0.125598 0.960126i
\(59\) −9.90904 5.72099i −1.29005 0.744809i −0.311385 0.950284i \(-0.600793\pi\)
−0.978662 + 0.205475i \(0.934126\pi\)
\(60\) 0.539577 2.02708i 0.0696591 0.261695i
\(61\) −0.560848 0.971417i −0.0718092 0.124377i 0.827885 0.560898i \(-0.189544\pi\)
−0.899694 + 0.436521i \(0.856211\pi\)
\(62\) 2.90404 3.79108i 0.368813 0.481468i
\(63\) 4.58221 + 2.06687i 0.577304 + 0.260401i
\(64\) 5.68475 + 5.62882i 0.710594 + 0.703602i
\(65\) 0.606047 + 1.04970i 0.0751709 + 0.130200i
\(66\) −3.22174 + 1.33760i −0.396569 + 0.164647i
\(67\) 0.386838 0.670023i 0.0472598 0.0818563i −0.841428 0.540369i \(-0.818284\pi\)
0.888688 + 0.458513i \(0.151618\pi\)
\(68\) −6.92774 6.90494i −0.840112 0.837347i
\(69\) 9.19235 1.10663
\(70\) 3.18237 + 1.96787i 0.380366 + 0.235205i
\(71\) 2.53216i 0.300512i −0.988647 0.150256i \(-0.951990\pi\)
0.988647 0.150256i \(-0.0480097\pi\)
\(72\) 0.714597 + 5.32614i 0.0842161 + 0.627691i
\(73\) 11.1488 + 6.43675i 1.30487 + 0.753365i 0.981234 0.192819i \(-0.0617629\pi\)
0.323631 + 0.946183i \(0.395096\pi\)
\(74\) 9.29615 3.85957i 1.08066 0.448666i
\(75\) 0.908317 0.524417i 0.104883 0.0605545i
\(76\) −4.93190 + 1.33021i −0.565728 + 0.152586i
\(77\) −0.620335 6.19130i −0.0706937 0.705565i
\(78\) 1.42725 + 1.09330i 0.161604 + 0.123792i
\(79\) 1.34425 0.776104i 0.151240 0.0873186i −0.422470 0.906377i \(-0.638837\pi\)
0.573710 + 0.819058i \(0.305504\pi\)
\(80\) 0.0131831 + 3.99998i 0.00147391 + 0.447211i
\(81\) −0.154821 + 0.268158i −0.0172023 + 0.0297953i
\(82\) −0.584813 + 4.47056i −0.0645818 + 0.493690i
\(83\) 4.47506i 0.491202i −0.969371 0.245601i \(-0.921015\pi\)
0.969371 0.245601i \(-0.0789853\pi\)
\(84\) 5.47876 + 0.885792i 0.597782 + 0.0966478i
\(85\) 4.89060i 0.530460i
\(86\) −16.2805 2.12972i −1.75557 0.229654i
\(87\) 2.73457 4.73641i 0.293176 0.507796i
\(88\) 5.26730 4.06247i 0.561496 0.433060i
\(89\) −9.58219 + 5.53228i −1.01571 + 0.586420i −0.912858 0.408276i \(-0.866130\pi\)
−0.102851 + 0.994697i \(0.532797\pi\)
\(90\) −1.63394 + 2.13303i −0.172233 + 0.224841i
\(91\) −2.60356 + 1.87234i −0.272928 + 0.196275i
\(92\) −16.9239 + 4.56466i −1.76444 + 0.475898i
\(93\) 3.06722 1.77086i 0.318055 0.183629i
\(94\) 5.43406 + 13.0885i 0.560480 + 1.34997i
\(95\) −2.21189 1.27704i −0.226935 0.131021i
\(96\) 2.29306 + 5.47207i 0.234035 + 0.558491i
\(97\) 13.3588i 1.35638i −0.734888 0.678189i \(-0.762765\pi\)
0.734888 0.678189i \(-0.237235\pi\)
\(98\) −4.34113 + 8.89688i −0.438521 + 0.898721i
\(99\) 4.46831 0.449082
\(100\) −1.41188 + 1.41654i −0.141188 + 0.141654i
\(101\) 0.799019 1.38394i 0.0795054 0.137707i −0.823531 0.567271i \(-0.807999\pi\)
0.903037 + 0.429564i \(0.141333\pi\)
\(102\) −2.78155 6.69963i −0.275414 0.663362i
\(103\) −1.77318 3.07124i −0.174717 0.302618i 0.765346 0.643619i \(-0.222568\pi\)
−0.940063 + 0.341000i \(0.889234\pi\)
\(104\) −3.17059 1.30413i −0.310902 0.127880i
\(105\) 1.62015 + 2.25288i 0.158110 + 0.219859i
\(106\) −9.11472 6.98205i −0.885300 0.678156i
\(107\) 4.99959 + 8.65954i 0.483329 + 0.837150i 0.999817 0.0191446i \(-0.00609429\pi\)
−0.516488 + 0.856294i \(0.672761\pi\)
\(108\) −2.64390 + 9.93260i −0.254409 + 0.955765i
\(109\) −4.17287 2.40921i −0.399689 0.230760i 0.286661 0.958032i \(-0.407455\pi\)
−0.686350 + 0.727272i \(0.740788\pi\)
\(110\) 3.29786 + 0.431408i 0.314439 + 0.0411331i
\(111\) 7.46497 0.708543
\(112\) −10.5267 + 1.08978i −0.994684 + 0.102974i
\(113\) 8.76609 0.824644 0.412322 0.911038i \(-0.364718\pi\)
0.412322 + 0.911038i \(0.364718\pi\)
\(114\) −3.75638 0.491389i −0.351818 0.0460228i
\(115\) −7.59015 4.38218i −0.707785 0.408640i
\(116\) −2.68262 + 10.0781i −0.249075 + 0.935724i
\(117\) −1.15146 1.99438i −0.106452 0.184381i
\(118\) 12.8457 + 9.84003i 1.18254 + 0.905848i
\(119\) 12.8748 1.28999i 1.18024 0.118253i
\(120\) −1.12847 + 2.74353i −0.103015 + 0.250449i
\(121\) 2.73450 + 4.73629i 0.248591 + 0.430571i
\(122\) 0.608265 + 1.46507i 0.0550697 + 0.132641i
\(123\) −1.67189 + 2.89580i −0.150749 + 0.261105i
\(124\) −4.76766 + 4.78340i −0.428148 + 0.429562i
\(125\) −1.00000 −0.0894427
\(126\) −6.04634 3.73884i −0.538651 0.333083i
\(127\) 2.51008i 0.222734i 0.993779 + 0.111367i \(0.0355229\pi\)
−0.993779 + 0.111367i \(0.964477\pi\)
\(128\) −6.93900 8.93590i −0.613327 0.789829i
\(129\) −10.5457 6.08855i −0.928495 0.536067i
\(130\) −0.657285 1.58314i −0.0576477 0.138850i
\(131\) 4.72620 2.72867i 0.412930 0.238405i −0.279118 0.960257i \(-0.590042\pi\)
0.692048 + 0.721852i \(0.256709\pi\)
\(132\) 4.76311 1.28469i 0.414575 0.111818i
\(133\) 2.77846 6.15980i 0.240923 0.534122i
\(134\) −0.665356 + 0.868590i −0.0574780 + 0.0750348i
\(135\) −4.45070 + 2.56962i −0.383056 + 0.221157i
\(136\) 8.44792 + 10.9534i 0.724403 + 0.939244i
\(137\) −7.53495 + 13.0509i −0.643754 + 1.11502i 0.340833 + 0.940124i \(0.389291\pi\)
−0.984588 + 0.174891i \(0.944043\pi\)
\(138\) −12.8901 1.68621i −1.09728 0.143540i
\(139\) 15.2747i 1.29558i 0.761819 + 0.647789i \(0.224306\pi\)
−0.761819 + 0.647789i \(0.775694\pi\)
\(140\) −4.10156 3.34324i −0.346645 0.282555i
\(141\) 10.5103i 0.885124i
\(142\) −0.464490 + 3.55076i −0.0389791 + 0.297973i
\(143\) −1.42531 + 2.46870i −0.119190 + 0.206443i
\(144\) −0.0250472 7.59975i −0.00208727 0.633312i
\(145\) −4.51588 + 2.60725i −0.375024 + 0.216520i
\(146\) −14.4528 11.0711i −1.19612 0.916253i
\(147\) −5.50353 + 4.85940i −0.453923 + 0.400797i
\(148\) −13.7437 + 3.70689i −1.12972 + 0.304704i
\(149\) 3.67599 2.12234i 0.301149 0.173869i −0.341810 0.939769i \(-0.611040\pi\)
0.642959 + 0.765901i \(0.277707\pi\)
\(150\) −1.36990 + 0.568754i −0.111852 + 0.0464385i
\(151\) −1.03731 0.598892i −0.0844152 0.0487371i 0.457198 0.889365i \(-0.348853\pi\)
−0.541613 + 0.840628i \(0.682186\pi\)
\(152\) 7.15985 0.960622i 0.580740 0.0779167i
\(153\) 9.29188i 0.751204i
\(154\) −0.265837 + 8.79565i −0.0214218 + 0.708774i
\(155\) −3.37681 −0.271232
\(156\) −1.80083 1.79490i −0.144182 0.143707i
\(157\) 5.51369 9.54999i 0.440040 0.762172i −0.557652 0.830075i \(-0.688297\pi\)
0.997692 + 0.0679028i \(0.0216308\pi\)
\(158\) −2.02737 + 0.841720i −0.161289 + 0.0669636i
\(159\) −4.25759 7.37437i −0.337649 0.584825i
\(160\) 0.715256 5.61145i 0.0565460 0.443624i
\(161\) 9.53434 21.1375i 0.751411 1.66587i
\(162\) 0.266290 0.347629i 0.0209217 0.0273123i
\(163\) −6.36400 11.0228i −0.498467 0.863370i 0.501532 0.865139i \(-0.332770\pi\)
−0.999998 + 0.00176946i \(0.999437\pi\)
\(164\) 1.64013 6.16164i 0.128072 0.481143i
\(165\) 2.13619 + 1.23333i 0.166302 + 0.0960145i
\(166\) −0.820890 + 6.27523i −0.0637135 + 0.487052i
\(167\) 15.0560 1.16507 0.582535 0.812805i \(-0.302061\pi\)
0.582535 + 0.812805i \(0.302061\pi\)
\(168\) −7.52020 2.24712i −0.580196 0.173369i
\(169\) −11.5308 −0.886987
\(170\) −0.897115 + 6.85792i −0.0688056 + 0.525979i
\(171\) 4.20247 + 2.42630i 0.321371 + 0.185544i
\(172\) 22.4389 + 5.97288i 1.71095 + 0.455428i
\(173\) 6.09623 + 10.5590i 0.463488 + 0.802784i 0.999132 0.0416597i \(-0.0132645\pi\)
−0.535644 + 0.844444i \(0.679931\pi\)
\(174\) −4.70342 + 6.14009i −0.356566 + 0.465479i
\(175\) −0.263769 2.63257i −0.0199391 0.199004i
\(176\) −8.13136 + 4.73044i −0.612924 + 0.356571i
\(177\) 6.00037 + 10.3929i 0.451015 + 0.781181i
\(178\) 14.4516 6.00000i 1.08319 0.449719i
\(179\) −0.698646 + 1.21009i −0.0522192 + 0.0904464i −0.890953 0.454095i \(-0.849963\pi\)
0.838734 + 0.544541i \(0.183296\pi\)
\(180\) 2.68250 2.69136i 0.199942 0.200602i
\(181\) −25.6584 −1.90717 −0.953587 0.301118i \(-0.902640\pi\)
−0.953587 + 0.301118i \(0.902640\pi\)
\(182\) 3.99434 2.14793i 0.296080 0.159215i
\(183\) 1.17647i 0.0869674i
\(184\) 24.5692 3.29640i 1.81126 0.243014i
\(185\) −6.16385 3.55870i −0.453175 0.261641i
\(186\) −4.62589 + 1.92057i −0.339187 + 0.140823i
\(187\) 9.96081 5.75088i 0.728407 0.420546i
\(188\) −5.21910 19.3503i −0.380642 1.41127i
\(189\) −7.93865 11.0390i −0.577452 0.802970i
\(190\) 2.86740 + 2.19648i 0.208023 + 0.159350i
\(191\) 6.13554 3.54235i 0.443952 0.256316i −0.261321 0.965252i \(-0.584158\pi\)
0.705273 + 0.708936i \(0.250825\pi\)
\(192\) −2.21171 8.09393i −0.159616 0.584129i
\(193\) −9.51108 + 16.4737i −0.684622 + 1.18580i 0.288933 + 0.957349i \(0.406699\pi\)
−0.973555 + 0.228451i \(0.926634\pi\)
\(194\) −2.45049 + 18.7325i −0.175935 + 1.34492i
\(195\) 1.27128i 0.0910386i
\(196\) 7.71944 11.6795i 0.551389 0.834249i
\(197\) 25.7446i 1.83423i 0.398626 + 0.917113i \(0.369487\pi\)
−0.398626 + 0.917113i \(0.630513\pi\)
\(198\) −6.26577 0.819652i −0.445289 0.0582502i
\(199\) −3.38261 + 5.85886i −0.239787 + 0.415323i −0.960653 0.277751i \(-0.910411\pi\)
0.720866 + 0.693074i \(0.243744\pi\)
\(200\) 2.23968 1.72738i 0.158369 0.122144i
\(201\) −0.702743 + 0.405729i −0.0495676 + 0.0286179i
\(202\) −1.37430 + 1.79409i −0.0966956 + 0.126231i
\(203\) −8.05491 11.2007i −0.565344 0.786132i
\(204\) 2.67151 + 9.90490i 0.187043 + 0.693482i
\(205\) 2.76097 1.59405i 0.192835 0.111333i
\(206\) 1.92310 + 4.63196i 0.133988 + 0.322724i
\(207\) 14.4209 + 8.32590i 1.00232 + 0.578690i
\(208\) 4.20678 + 2.41034i 0.291688 + 0.167127i
\(209\) 6.00669i 0.415491i
\(210\) −1.85862 3.45634i −0.128257 0.238510i
\(211\) 14.7573 1.01593 0.507967 0.861377i \(-0.330397\pi\)
0.507967 + 0.861377i \(0.330397\pi\)
\(212\) 11.5005 + 11.4627i 0.789858 + 0.787259i
\(213\) −1.32791 + 2.30000i −0.0909866 + 0.157593i
\(214\) −5.42228 13.0601i −0.370659 0.892770i
\(215\) 5.80506 + 10.0547i 0.395902 + 0.685723i
\(216\) 5.52945 13.4432i 0.376232 0.914692i
\(217\) −0.890699 8.88969i −0.0604646 0.603472i
\(218\) 5.40954 + 4.14381i 0.366380 + 0.280654i
\(219\) −6.75108 11.6932i −0.456196 0.790154i
\(220\) −4.54535 1.20990i −0.306447 0.0815713i
\(221\) −5.13368 2.96393i −0.345329 0.199376i
\(222\) −10.4679 1.36935i −0.702558 0.0919046i
\(223\) −14.4522 −0.967791 −0.483896 0.875126i \(-0.660779\pi\)
−0.483896 + 0.875126i \(0.660779\pi\)
\(224\) 14.9612 + 0.402834i 0.999638 + 0.0269155i
\(225\) 1.89995 0.126663
\(226\) −12.2924 1.60802i −0.817677 0.106964i
\(227\) −3.97850 2.29699i −0.264062 0.152456i 0.362124 0.932130i \(-0.382052\pi\)
−0.626186 + 0.779673i \(0.715385\pi\)
\(228\) 5.17731 + 1.37812i 0.342876 + 0.0912680i
\(229\) −6.54085 11.3291i −0.432232 0.748647i 0.564833 0.825205i \(-0.308940\pi\)
−0.997065 + 0.0765577i \(0.975607\pi\)
\(230\) 9.83956 + 7.53729i 0.648801 + 0.496994i
\(231\) −2.68336 + 5.94898i −0.176552 + 0.391414i
\(232\) 5.61043 13.6400i 0.368342 0.895512i
\(233\) 10.4329 + 18.0703i 0.683483 + 1.18383i 0.973911 + 0.226931i \(0.0728691\pi\)
−0.290428 + 0.956897i \(0.593798\pi\)
\(234\) 1.24881 + 3.00787i 0.0816371 + 0.196631i
\(235\) 5.01045 8.67836i 0.326846 0.566114i
\(236\) −16.2080 16.1547i −1.05505 1.05158i
\(237\) −1.62801 −0.105751
\(238\) −18.2906 0.552810i −1.18560 0.0358333i
\(239\) 2.94959i 0.190793i 0.995439 + 0.0953964i \(0.0304119\pi\)
−0.995439 + 0.0953964i \(0.969588\pi\)
\(240\) 2.08568 3.64016i 0.134630 0.234971i
\(241\) 0.798690 + 0.461124i 0.0514481 + 0.0297036i 0.525503 0.850791i \(-0.323877\pi\)
−0.474055 + 0.880495i \(0.657210\pi\)
\(242\) −2.96568 7.14314i −0.190641 0.459178i
\(243\) 13.6334 7.87123i 0.874581 0.504940i
\(244\) −0.584203 2.16599i −0.0373998 0.138663i
\(245\) 6.86085 1.38878i 0.438324 0.0887260i
\(246\) 2.87563 3.75400i 0.183344 0.239346i
\(247\) −2.68102 + 1.54789i −0.170589 + 0.0984896i
\(248\) 7.56298 5.83303i 0.480249 0.370398i
\(249\) −2.34680 + 4.06478i −0.148722 + 0.257595i
\(250\) 1.40227 + 0.183437i 0.0886871 + 0.0116015i
\(251\) 9.30464i 0.587304i 0.955912 + 0.293652i \(0.0948706\pi\)
−0.955912 + 0.293652i \(0.905129\pi\)
\(252\) 7.79274 + 6.35197i 0.490897 + 0.400137i
\(253\) 20.6121i 1.29587i
\(254\) 0.460441 3.51980i 0.0288906 0.220852i
\(255\) −2.56471 + 4.44221i −0.160609 + 0.278182i
\(256\) 8.09116 + 13.8034i 0.505698 + 0.862711i
\(257\) 26.0684 15.0506i 1.62610 0.938832i 0.640865 0.767654i \(-0.278576\pi\)
0.985240 0.171178i \(-0.0547575\pi\)
\(258\) 13.6710 + 10.4722i 0.851118 + 0.651972i
\(259\) 7.74269 17.1654i 0.481107 1.06661i
\(260\) 0.631284 + 2.34055i 0.0391506 + 0.145155i
\(261\) 8.57994 4.95363i 0.531085 0.306622i
\(262\) −7.12793 + 2.95937i −0.440365 + 0.182830i
\(263\) −15.2475 8.80316i −0.940202 0.542826i −0.0501785 0.998740i \(-0.515979\pi\)
−0.890024 + 0.455914i \(0.849312\pi\)
\(264\) −6.91480 + 0.927745i −0.425577 + 0.0570988i
\(265\) 8.11872i 0.498729i
\(266\) −5.02607 + 8.12801i −0.308168 + 0.498360i
\(267\) 11.6049 0.710207
\(268\) 1.09234 1.09594i 0.0667252 0.0669454i
\(269\) −4.10363 + 7.10769i −0.250202 + 0.433363i −0.963581 0.267415i \(-0.913831\pi\)
0.713379 + 0.700778i \(0.247164\pi\)
\(270\) 6.71244 2.78686i 0.408506 0.169603i
\(271\) 7.40183 + 12.8204i 0.449629 + 0.778781i 0.998362 0.0572171i \(-0.0182227\pi\)
−0.548732 + 0.835998i \(0.684889\pi\)
\(272\) −9.83698 16.9092i −0.596455 1.02527i
\(273\) 3.34675 0.335326i 0.202554 0.0202948i
\(274\) 12.9600 16.9187i 0.782944 1.02209i
\(275\) −1.17590 2.03673i −0.0709097 0.122819i
\(276\) 17.7661 + 4.72904i 1.06939 + 0.284655i
\(277\) −5.53090 3.19327i −0.332320 0.191865i 0.324551 0.945868i \(-0.394787\pi\)
−0.656870 + 0.754003i \(0.728120\pi\)
\(278\) 2.80193 21.4191i 0.168049 1.28463i
\(279\) 6.41577 0.384102
\(280\) 5.13820 + 5.44048i 0.307066 + 0.325131i
\(281\) −12.2559 −0.731128 −0.365564 0.930786i \(-0.619124\pi\)
−0.365564 + 0.930786i \(0.619124\pi\)
\(282\) 1.92797 14.7382i 0.114809 0.877646i
\(283\) −14.5951 8.42649i −0.867589 0.500903i −0.00104298 0.999999i \(-0.500332\pi\)
−0.866546 + 0.499096i \(0.833665\pi\)
\(284\) 1.30268 4.89390i 0.0772997 0.290400i
\(285\) 1.33940 + 2.31990i 0.0793391 + 0.137419i
\(286\) 2.45151 3.20033i 0.144961 0.189239i
\(287\) 4.92470 + 6.84799i 0.290696 + 0.404224i
\(288\) −1.35895 + 10.6615i −0.0800768 + 0.628233i
\(289\) 3.45898 + 5.99113i 0.203469 + 0.352419i
\(290\) 6.81073 2.82767i 0.399940 0.166047i
\(291\) −7.00556 + 12.1340i −0.410673 + 0.711307i
\(292\) 18.2359 + 18.1759i 1.06717 + 1.06366i
\(293\) −27.0419 −1.57980 −0.789902 0.613233i \(-0.789869\pi\)
−0.789902 + 0.613233i \(0.789869\pi\)
\(294\) 8.60880 5.80463i 0.502076 0.338533i
\(295\) 11.4420i 0.666178i
\(296\) 19.9523 2.67695i 1.15970 0.155595i
\(297\) −10.4672 6.04325i −0.607369 0.350665i
\(298\) −5.54404 + 2.30177i −0.321157 + 0.133338i
\(299\) −9.19997 + 5.31161i −0.532048 + 0.307178i
\(300\) 2.02529 0.546255i 0.116930 0.0315380i
\(301\) −24.9384 + 17.9343i −1.43743 + 1.03372i
\(302\) 1.34473 + 1.03009i 0.0773804 + 0.0592748i
\(303\) −1.45153 + 0.838038i −0.0833879 + 0.0481441i
\(304\) −10.2162 + 0.0336705i −0.585941 + 0.00193114i
\(305\) 0.560848 0.971417i 0.0321141 0.0556232i
\(306\) 1.70447 13.0297i 0.0974381 0.744858i
\(307\) 3.32341i 0.189677i −0.995493 0.0948386i \(-0.969766\pi\)
0.995493 0.0948386i \(-0.0302335\pi\)
\(308\) 1.98622 12.2851i 0.113175 0.700007i
\(309\) 3.71955i 0.211598i
\(310\) 4.73519 + 0.619431i 0.268941 + 0.0351813i
\(311\) 17.2937 29.9536i 0.980637 1.69851i 0.320723 0.947173i \(-0.396074\pi\)
0.659915 0.751340i \(-0.270592\pi\)
\(312\) 2.19599 + 2.84727i 0.124323 + 0.161195i
\(313\) −12.5334 + 7.23619i −0.708432 + 0.409014i −0.810480 0.585766i \(-0.800794\pi\)
0.102048 + 0.994779i \(0.467461\pi\)
\(314\) −9.48348 + 12.3802i −0.535184 + 0.698656i
\(315\) 0.501147 + 5.00174i 0.0282365 + 0.281816i
\(316\) 2.99731 0.808423i 0.168612 0.0454773i
\(317\) −13.1460 + 7.58984i −0.738352 + 0.426288i −0.821470 0.570252i \(-0.806846\pi\)
0.0831178 + 0.996540i \(0.473512\pi\)
\(318\) 4.61755 + 11.1218i 0.258939 + 0.623681i
\(319\) −10.6205 6.13174i −0.594633 0.343312i
\(320\) −2.03233 + 7.73755i −0.113610 + 0.432542i
\(321\) 10.4875i 0.585354i
\(322\) −17.2471 + 27.8914i −0.961142 + 1.55433i
\(323\) 12.4909 0.695014
\(324\) −0.437178 + 0.438621i −0.0242877 + 0.0243678i
\(325\) −0.606047 + 1.04970i −0.0336174 + 0.0582271i
\(326\) 6.90204 + 16.6242i 0.382269 + 0.920732i
\(327\) 2.52686 + 4.37665i 0.139736 + 0.242029i
\(328\) −3.43016 + 8.33939i −0.189399 + 0.460466i
\(329\) 24.1680 + 10.9013i 1.33242 + 0.601007i
\(330\) −2.76927 2.12131i −0.152443 0.116774i
\(331\) 8.23079 + 14.2562i 0.452405 + 0.783589i 0.998535 0.0541118i \(-0.0172327\pi\)
−0.546130 + 0.837701i \(0.683899\pi\)
\(332\) 2.30221 8.64896i 0.126350 0.474674i
\(333\) 11.7110 + 6.76134i 0.641758 + 0.370519i
\(334\) −21.1126 2.76183i −1.15523 0.151120i
\(335\) 0.773676 0.0422704
\(336\) 10.1331 + 4.53054i 0.552807 + 0.247161i
\(337\) −28.2883 −1.54096 −0.770482 0.637462i \(-0.779984\pi\)
−0.770482 + 0.637462i \(0.779984\pi\)
\(338\) 16.1693 + 2.11518i 0.879494 + 0.115050i
\(339\) −7.96238 4.59708i −0.432457 0.249679i
\(340\) 2.51599 9.45207i 0.136449 0.512610i
\(341\) −3.97081 6.87764i −0.215031 0.372445i
\(342\) −5.44792 4.17321i −0.294590 0.225661i
\(343\) 5.46574 + 17.6954i 0.295122 + 0.955459i
\(344\) −30.3697 12.4917i −1.63742 0.673506i
\(345\) 4.59617 + 7.96081i 0.247450 + 0.428595i
\(346\) −6.61163 15.9248i −0.355444 0.856121i
\(347\) 0.490872 0.850215i 0.0263514 0.0456420i −0.852549 0.522647i \(-0.824944\pi\)
0.878900 + 0.477005i \(0.158278\pi\)
\(348\) 7.72177 7.74726i 0.413930 0.415297i
\(349\) −25.8547 −1.38397 −0.691985 0.721912i \(-0.743264\pi\)
−0.691985 + 0.721912i \(0.743264\pi\)
\(350\) −0.113035 + 3.73995i −0.00604198 + 0.199909i
\(351\) 6.22923i 0.332492i
\(352\) 12.2701 5.14175i 0.653997 0.274056i
\(353\) 11.4688 + 6.62150i 0.610421 + 0.352427i 0.773130 0.634247i \(-0.218690\pi\)
−0.162709 + 0.986674i \(0.552023\pi\)
\(354\) −6.50767 15.6744i −0.345879 0.833083i
\(355\) 2.19291 1.26608i 0.116388 0.0671965i
\(356\) −21.3656 + 5.76265i −1.13238 + 0.305420i
\(357\) −12.3709 5.58007i −0.654739 0.295329i
\(358\) 1.20166 1.56871i 0.0635098 0.0829090i
\(359\) −4.64380 + 2.68110i −0.245090 + 0.141503i −0.617514 0.786560i \(-0.711860\pi\)
0.372424 + 0.928063i \(0.378527\pi\)
\(360\) −4.25527 + 3.28193i −0.224273 + 0.172973i
\(361\) −6.23836 + 10.8052i −0.328335 + 0.568693i
\(362\) 35.9799 + 4.70669i 1.89106 + 0.247378i
\(363\) 5.73606i 0.301065i
\(364\) −5.99514 + 2.27926i −0.314231 + 0.119466i
\(365\) 12.8735i 0.673830i
\(366\) 0.215808 1.64973i 0.0112805 0.0862327i
\(367\) −10.6905 + 18.5165i −0.558041 + 0.966556i 0.439619 + 0.898185i \(0.355114\pi\)
−0.997660 + 0.0683713i \(0.978220\pi\)
\(368\) −35.0572 + 0.115541i −1.82748 + 0.00602300i
\(369\) −5.24570 + 3.02861i −0.273080 + 0.157663i
\(370\) 7.99056 + 6.12092i 0.415409 + 0.318211i
\(371\) −21.3731 + 2.14147i −1.10964 + 0.111179i
\(372\) 6.83904 1.84460i 0.354588 0.0956380i
\(373\) 7.38217 4.26210i 0.382234 0.220683i −0.296556 0.955016i \(-0.595838\pi\)
0.678790 + 0.734333i \(0.262505\pi\)
\(374\) −15.0226 + 6.23709i −0.776802 + 0.322512i
\(375\) 0.908317 + 0.524417i 0.0469053 + 0.0270808i
\(376\) 3.76900 + 28.0917i 0.194372 + 1.44872i
\(377\) 6.32045i 0.325520i
\(378\) 9.10715 + 16.9359i 0.468421 + 0.871087i
\(379\) −4.45055 −0.228609 −0.114305 0.993446i \(-0.536464\pi\)
−0.114305 + 0.993446i \(0.536464\pi\)
\(380\) −3.61795 3.60604i −0.185597 0.184986i
\(381\) 1.31633 2.27995i 0.0674376 0.116805i
\(382\) −9.25346 + 3.84184i −0.473448 + 0.196566i
\(383\) 5.77418 + 10.0012i 0.295047 + 0.511036i 0.974996 0.222223i \(-0.0713314\pi\)
−0.679949 + 0.733259i \(0.737998\pi\)
\(384\) 1.61668 + 11.7556i 0.0825008 + 0.599898i
\(385\) 5.05166 3.63288i 0.257456 0.185149i
\(386\) 16.3589 21.3558i 0.832648 1.08698i
\(387\) −11.0293 19.1033i −0.560652 0.971077i
\(388\) 6.87247 25.8185i 0.348897 1.31074i
\(389\) 8.52646 + 4.92276i 0.432309 + 0.249594i 0.700330 0.713819i \(-0.253036\pi\)
−0.268021 + 0.963413i \(0.586370\pi\)
\(390\) −0.233200 + 1.78268i −0.0118085 + 0.0902695i
\(391\) 42.8629 2.16767
\(392\) −12.9672 + 14.9617i −0.654940 + 0.755681i
\(393\) −5.72385 −0.288730
\(394\) 4.72250 36.1008i 0.237916 1.81873i
\(395\) 1.34425 + 0.776104i 0.0676367 + 0.0390500i
\(396\) 8.63592 + 2.29874i 0.433971 + 0.115516i
\(397\) 13.9206 + 24.1113i 0.698657 + 1.21011i 0.968932 + 0.247327i \(0.0795521\pi\)
−0.270275 + 0.962783i \(0.587115\pi\)
\(398\) 5.81805 7.59518i 0.291633 0.380712i
\(399\) −5.75402 + 4.13798i −0.288061 + 0.207158i
\(400\) −3.45749 + 2.01141i −0.172875 + 0.100570i
\(401\) −18.2301 31.5755i −0.910370 1.57681i −0.813543 0.581505i \(-0.802464\pi\)
−0.0968267 0.995301i \(-0.530869\pi\)
\(402\) 1.05986 0.440031i 0.0528609 0.0219467i
\(403\) −2.04651 + 3.54465i −0.101944 + 0.176572i
\(404\) 2.25624 2.26369i 0.112252 0.112623i
\(405\) −0.309642 −0.0153862
\(406\) 9.24051 + 17.1839i 0.458599 + 0.852822i
\(407\) 16.7388i 0.829709i
\(408\) −1.92925 14.3794i −0.0955121 0.711885i
\(409\) 3.55633 + 2.05325i 0.175849 + 0.101527i 0.585341 0.810787i \(-0.300961\pi\)
−0.409492 + 0.912314i \(0.634294\pi\)
\(410\) −4.16402 + 1.72882i −0.205646 + 0.0853801i
\(411\) 13.6882 7.90291i 0.675191 0.389822i
\(412\) −1.84702 6.84801i −0.0909961 0.337377i
\(413\) 30.1218 3.01804i 1.48220 0.148508i
\(414\) −18.6946 14.3205i −0.918792 0.703812i
\(415\) 3.87552 2.23753i 0.190242 0.109836i
\(416\) −5.45689 4.15161i −0.267546 0.203549i
\(417\) 8.01029 13.8742i 0.392265 0.679424i
\(418\) −1.10185 + 8.42297i −0.0538931 + 0.411981i
\(419\) 39.8516i 1.94688i 0.228943 + 0.973440i \(0.426473\pi\)
−0.228943 + 0.973440i \(0.573527\pi\)
\(420\) 1.97226 + 5.18764i 0.0962366 + 0.253131i
\(421\) 10.2595i 0.500020i 0.968243 + 0.250010i \(0.0804339\pi\)
−0.968243 + 0.250010i \(0.919566\pi\)
\(422\) −20.6936 2.70703i −1.00735 0.131776i
\(423\) −9.51959 + 16.4884i −0.462859 + 0.801694i
\(424\) −14.0241 18.1833i −0.681071 0.883060i
\(425\) 4.23538 2.44530i 0.205446 0.118614i
\(426\) 2.28398 2.98163i 0.110659 0.144460i
\(427\) 2.70526 + 1.22024i 0.130917 + 0.0590517i
\(428\) 5.20778 + 19.3084i 0.251728 + 0.933306i
\(429\) 2.58926 1.49491i 0.125011 0.0721749i
\(430\) −6.29585 15.1642i −0.303613 0.731282i
\(431\) −13.6969 7.90789i −0.659755 0.380909i 0.132429 0.991193i \(-0.457722\pi\)
−0.792183 + 0.610283i \(0.791056\pi\)
\(432\) −10.2197 + 17.8366i −0.491697 + 0.858164i
\(433\) 32.7619i 1.57443i −0.616676 0.787217i \(-0.711521\pi\)
0.616676 0.787217i \(-0.288479\pi\)
\(434\) −0.381699 + 12.6291i −0.0183221 + 0.606217i
\(435\) 5.46913 0.262225
\(436\) −6.82549 6.80303i −0.326882 0.325806i
\(437\) 11.1924 19.3858i 0.535404 0.927347i
\(438\) 7.32185 + 17.6354i 0.349852 + 0.842652i
\(439\) 0.202051 + 0.349962i 0.00964336 + 0.0167028i 0.870807 0.491625i \(-0.163597\pi\)
−0.861163 + 0.508328i \(0.830264\pi\)
\(440\) 6.15185 + 2.53038i 0.293278 + 0.120631i
\(441\) −13.0353 + 2.63861i −0.620727 + 0.125648i
\(442\) 6.65509 + 5.09793i 0.316551 + 0.242484i
\(443\) −16.1659 28.0002i −0.768066 1.33033i −0.938610 0.344979i \(-0.887886\pi\)
0.170544 0.985350i \(-0.445447\pi\)
\(444\) 14.4276 + 3.84038i 0.684701 + 0.182256i
\(445\) −9.58219 5.53228i −0.454239 0.262255i
\(446\) 20.2658 + 2.65106i 0.959616 + 0.125531i
\(447\) −4.45196 −0.210570
\(448\) −20.9057 3.30931i −0.987702 0.156350i
\(449\) 4.91848 0.232117 0.116059 0.993242i \(-0.462974\pi\)
0.116059 + 0.993242i \(0.462974\pi\)
\(450\) −2.66423 0.348520i −0.125593 0.0164294i
\(451\) 6.49328 + 3.74889i 0.305756 + 0.176529i
\(452\) 16.9422 + 4.50975i 0.796896 + 0.212121i
\(453\) 0.628138 + 1.08797i 0.0295125 + 0.0511172i
\(454\) 5.15757 + 3.95079i 0.242057 + 0.185420i
\(455\) −2.92328 1.31858i −0.137045 0.0618160i
\(456\) −7.00718 2.88220i −0.328141 0.134971i
\(457\) 10.7472 + 18.6147i 0.502733 + 0.870759i 0.999995 + 0.00315885i \(0.00100550\pi\)
−0.497262 + 0.867601i \(0.665661\pi\)
\(458\) 7.09385 + 17.0862i 0.331474 + 0.798387i
\(459\) 12.5670 21.7666i 0.586575 1.01598i
\(460\) −12.4151 12.3742i −0.578856 0.576951i
\(461\) 27.8967 1.29928 0.649639 0.760243i \(-0.274920\pi\)
0.649639 + 0.760243i \(0.274920\pi\)
\(462\) 4.85405 7.84983i 0.225831 0.365207i
\(463\) 38.9342i 1.80942i −0.426024 0.904712i \(-0.640086\pi\)
0.426024 0.904712i \(-0.359914\pi\)
\(464\) −10.3694 + 18.0978i −0.481387 + 0.840169i
\(465\) 3.06722 + 1.77086i 0.142239 + 0.0821216i
\(466\) −11.3150 27.2532i −0.524156 1.26248i
\(467\) −21.6588 + 12.5047i −1.00225 + 0.578650i −0.908914 0.416984i \(-0.863087\pi\)
−0.0933379 + 0.995634i \(0.529754\pi\)
\(468\) −1.19941 4.44692i −0.0554425 0.205559i
\(469\) 0.204072 + 2.03676i 0.00942316 + 0.0940486i
\(470\) −8.61792 + 11.2503i −0.397515 + 0.518936i
\(471\) −10.0164 + 5.78295i −0.461529 + 0.266464i
\(472\) 19.7646 + 25.6264i 0.909741 + 1.17955i
\(473\) −13.6524 + 23.6467i −0.627738 + 1.08727i
\(474\) 2.28290 + 0.298636i 0.104857 + 0.0137168i
\(475\) 2.55407i 0.117189i
\(476\) 25.5469 + 4.13035i 1.17094 + 0.189314i
\(477\) 15.4251i 0.706268i
\(478\) 0.541062 4.13611i 0.0247476 0.189181i
\(479\) 4.29962 7.44716i 0.196455 0.340269i −0.750922 0.660391i \(-0.770391\pi\)
0.947376 + 0.320122i \(0.103724\pi\)
\(480\) −3.59242 + 4.72189i −0.163971 + 0.215524i
\(481\) −7.47116 + 4.31348i −0.340655 + 0.196678i
\(482\) −1.03539 0.793127i −0.0471607 0.0361260i
\(483\) −19.7451 + 14.1996i −0.898431 + 0.646103i
\(484\) 2.84836 + 10.5606i 0.129471 + 0.480027i
\(485\) 11.5690 6.67938i 0.525323 0.303295i
\(486\) −20.5615 + 8.53670i −0.932688 + 0.387233i
\(487\) −12.9204 7.45959i −0.585478 0.338026i 0.177829 0.984061i \(-0.443093\pi\)
−0.763308 + 0.646035i \(0.776426\pi\)
\(488\) 0.421886 + 3.14446i 0.0190979 + 0.142343i
\(489\) 13.3496i 0.603688i
\(490\) −9.87550 + 0.688910i −0.446129 + 0.0311218i
\(491\) 3.92024 0.176918 0.0884589 0.996080i \(-0.471806\pi\)
0.0884589 + 0.996080i \(0.471806\pi\)
\(492\) −4.72102 + 4.73661i −0.212840 + 0.213543i
\(493\) 12.7510 22.0854i 0.574276 0.994675i
\(494\) 4.04344 1.67875i 0.181923 0.0755306i
\(495\) 2.23416 + 3.86967i 0.100418 + 0.173929i
\(496\) −11.6753 + 6.79214i −0.524236 + 0.304976i
\(497\) 3.91146 + 5.43904i 0.175453 + 0.243974i
\(498\) 4.03647 5.26941i 0.180878 0.236128i
\(499\) 5.70995 + 9.88993i 0.255613 + 0.442734i 0.965062 0.262023i \(-0.0843895\pi\)
−0.709449 + 0.704757i \(0.751056\pi\)
\(500\) −1.93270 0.514454i −0.0864331 0.0230071i
\(501\) −13.6756 7.89564i −0.610983 0.352751i
\(502\) 1.70681 13.0476i 0.0761787 0.582342i
\(503\) −22.9658 −1.02399 −0.511997 0.858987i \(-0.671094\pi\)
−0.511997 + 0.858987i \(0.671094\pi\)
\(504\) −9.76232 10.3366i −0.434848 0.460430i
\(505\) 1.59804 0.0711118
\(506\) −3.78101 + 28.9036i −0.168086 + 1.28492i
\(507\) 10.4736 + 6.04696i 0.465151 + 0.268555i
\(508\) −1.29132 + 4.85124i −0.0572931 + 0.215239i
\(509\) 12.4956 + 21.6429i 0.553856 + 0.959306i 0.997992 + 0.0633469i \(0.0201774\pi\)
−0.444136 + 0.895959i \(0.646489\pi\)
\(510\) 4.41128 5.75870i 0.195335 0.255000i
\(511\) −33.8904 + 3.39563i −1.49922 + 0.150214i
\(512\) −8.81392 20.8402i −0.389524 0.921016i
\(513\) −6.56298 11.3674i −0.289763 0.501883i
\(514\) −39.3157 + 16.3231i −1.73414 + 0.719980i
\(515\) 1.77318 3.07124i 0.0781357 0.135335i
\(516\) −17.2494 17.1926i −0.759361 0.756863i
\(517\) 23.5673 1.03649
\(518\) −14.0061 + 22.6502i −0.615392 + 0.995193i
\(519\) 12.7879i 0.561325i
\(520\) −0.455886 3.39787i −0.0199919 0.149007i
\(521\) 14.0875 + 8.13341i 0.617184 + 0.356331i 0.775772 0.631014i \(-0.217361\pi\)
−0.158588 + 0.987345i \(0.550694\pi\)
\(522\) −12.9400 + 5.37243i −0.566370 + 0.235145i
\(523\) −16.4913 + 9.52126i −0.721114 + 0.416336i −0.815163 0.579232i \(-0.803353\pi\)
0.0940483 + 0.995568i \(0.470019\pi\)
\(524\) 10.5381 2.84230i 0.460359 0.124166i
\(525\) −1.14098 + 2.52953i −0.0497964 + 0.110398i
\(526\) 19.7663 + 15.1413i 0.861850 + 0.660193i
\(527\) 14.3021 8.25732i 0.623009 0.359694i
\(528\) 9.86658 0.0325182i 0.429388 0.00141517i
\(529\) 26.9069 46.6042i 1.16987 2.02627i
\(530\) 1.48927 11.3846i 0.0646897 0.494516i
\(531\) 21.7392i 0.943399i
\(532\) 8.53886 10.4757i 0.370207 0.454178i
\(533\) 3.86427i 0.167380i
\(534\) −16.2731 2.12876i −0.704207 0.0921205i
\(535\) −4.99959 + 8.65954i −0.216151 + 0.374385i
\(536\) −1.73279 + 1.33643i −0.0748449 + 0.0577250i
\(537\) 1.26918 0.732763i 0.0547693 0.0316211i
\(538\) 7.05819 9.21412i 0.304300 0.397249i
\(539\) 10.8963 + 12.3406i 0.469336 + 0.531548i
\(540\) −9.92383 + 2.67662i −0.427054 + 0.115183i
\(541\) 33.7035 19.4587i 1.44902 0.836595i 0.450601 0.892725i \(-0.351210\pi\)
0.998423 + 0.0561307i \(0.0178764\pi\)
\(542\) −8.02762 19.3353i −0.344816 0.830523i
\(543\) 23.3060 + 13.4557i 1.00015 + 0.577439i
\(544\) 10.6923 + 25.5157i 0.458429 + 1.09398i
\(545\) 4.81842i 0.206398i
\(546\) −4.75454 0.143700i −0.203476 0.00614979i
\(547\) −1.29047 −0.0551764 −0.0275882 0.999619i \(-0.508783\pi\)
−0.0275882 + 0.999619i \(0.508783\pi\)
\(548\) −21.2769 + 21.3471i −0.908904 + 0.911905i
\(549\) −1.06558 + 1.84564i −0.0454779 + 0.0787701i
\(550\) 1.27532 + 3.07174i 0.0543799 + 0.130979i
\(551\) −6.65909 11.5339i −0.283687 0.491360i
\(552\) −24.0453 9.89032i −1.02344 0.420960i
\(553\) −1.68858 + 3.74355i −0.0718056 + 0.159192i
\(554\) 7.17003 + 5.49238i 0.304625 + 0.233349i
\(555\) 3.73248 + 6.46485i 0.158435 + 0.274418i
\(556\) −7.85810 + 29.5213i −0.333258 + 1.25198i
\(557\) 5.64503 + 3.25916i 0.239188 + 0.138095i 0.614803 0.788680i \(-0.289235\pi\)
−0.375616 + 0.926776i \(0.622569\pi\)
\(558\) −8.99661 1.17689i −0.380857 0.0498216i
\(559\) 14.0726 0.595206
\(560\) −6.20715 8.57154i −0.262300 0.362214i
\(561\) −12.0634 −0.509319
\(562\) 17.1861 + 2.24819i 0.724951 + 0.0948340i
\(563\) 24.9474 + 14.4034i 1.05141 + 0.607030i 0.923043 0.384697i \(-0.125694\pi\)
0.128364 + 0.991727i \(0.459027\pi\)
\(564\) −5.40705 + 20.3132i −0.227678 + 0.855340i
\(565\) 4.38304 + 7.59165i 0.184396 + 0.319383i
\(566\) 18.9205 + 14.4935i 0.795288 + 0.609206i
\(567\) −0.0816740 0.815154i −0.00342999 0.0342333i
\(568\) −2.72442 + 6.62360i −0.114314 + 0.277920i
\(569\) 5.68292 + 9.84310i 0.238240 + 0.412644i 0.960209 0.279281i \(-0.0900961\pi\)
−0.721969 + 0.691925i \(0.756763\pi\)
\(570\) −1.45264 3.49882i −0.0608443 0.146549i
\(571\) −1.36107 + 2.35745i −0.0569592 + 0.0986562i −0.893099 0.449860i \(-0.851474\pi\)
0.836140 + 0.548516i \(0.184807\pi\)
\(572\) −4.02473 + 4.03801i −0.168282 + 0.168838i
\(573\) −7.43068 −0.310421
\(574\) −5.64957 10.5061i −0.235808 0.438515i
\(575\) 8.76435i 0.365499i
\(576\) 3.86131 14.7009i 0.160888 0.612539i
\(577\) −8.29404 4.78857i −0.345285 0.199351i 0.317321 0.948318i \(-0.397217\pi\)
−0.662607 + 0.748967i \(0.730550\pi\)
\(578\) −3.75142 9.03566i −0.156038 0.375834i
\(579\) 17.2781 9.97554i 0.718055 0.414569i
\(580\) −10.0692 + 2.71582i −0.418099 + 0.112768i
\(581\) 6.91270 + 9.61238i 0.286787 + 0.398789i
\(582\) 12.0495 15.7300i 0.499467 0.652030i
\(583\) −16.5356 + 9.54684i −0.684835 + 0.395390i
\(584\) −22.2374 28.8325i −0.920191 1.19310i
\(585\) 1.15146 1.99438i 0.0476069 0.0824576i
\(586\) 37.9199 + 4.96047i 1.56646 + 0.204915i
\(587\) 37.9535i 1.56651i 0.621703 + 0.783253i \(0.286441\pi\)
−0.621703 + 0.783253i \(0.713559\pi\)
\(588\) −13.1366 + 6.56046i −0.541745 + 0.270549i
\(589\) 8.62461i 0.355371i
\(590\) −2.09888 + 16.0447i −0.0864094 + 0.660550i
\(591\) 13.5009 23.3843i 0.555353 0.961900i
\(592\) −28.4694 + 0.0938293i −1.17009 + 0.00385636i
\(593\) 22.1702 12.7999i 0.910419 0.525631i 0.0298534 0.999554i \(-0.490496\pi\)
0.880566 + 0.473923i \(0.157163\pi\)
\(594\) 13.5693 + 10.3943i 0.556754 + 0.426484i
\(595\) 7.55459 + 10.5049i 0.309708 + 0.430661i
\(596\) 8.19645 2.21071i 0.335740 0.0905544i
\(597\) 6.14497 3.54780i 0.251497 0.145202i
\(598\) 13.8752 5.76068i 0.567397 0.235572i
\(599\) −28.0612 16.2011i −1.14655 0.661960i −0.198504 0.980100i \(-0.563608\pi\)
−0.948044 + 0.318140i \(0.896942\pi\)
\(600\) −2.94021 + 0.394481i −0.120033 + 0.0161046i
\(601\) 22.3390i 0.911226i −0.890178 0.455613i \(-0.849420\pi\)
0.890178 0.455613i \(-0.150580\pi\)
\(602\) 38.2601 20.5741i 1.55937 0.838538i
\(603\) −1.46994 −0.0598607
\(604\) −1.69671 1.69113i −0.0690382 0.0688110i
\(605\) −2.73450 + 4.73629i −0.111173 + 0.192557i
\(606\) 2.18915 0.908890i 0.0889282 0.0369211i
\(607\) −14.9462 25.8877i −0.606649 1.05075i −0.991789 0.127889i \(-0.959180\pi\)
0.385139 0.922858i \(-0.374153\pi\)
\(608\) 14.3320 + 1.82681i 0.581241 + 0.0740871i
\(609\) 1.44259 + 14.3979i 0.0584566 + 0.583432i
\(610\) −0.964652 + 1.25931i −0.0390576 + 0.0509878i
\(611\) −6.07314 10.5190i −0.245693 0.425552i
\(612\) −4.78024 + 17.9584i −0.193230 + 0.725927i
\(613\) 7.53192 + 4.34856i 0.304211 + 0.175637i 0.644333 0.764745i \(-0.277135\pi\)
−0.340122 + 0.940381i \(0.610468\pi\)
\(614\) −0.609636 + 4.66031i −0.0246029 + 0.188075i
\(615\) −3.34378 −0.134834
\(616\) −5.03874 + 16.8626i −0.203017 + 0.679414i
\(617\) 14.2056 0.571897 0.285948 0.958245i \(-0.407691\pi\)
0.285948 + 0.958245i \(0.407691\pi\)
\(618\) 0.682301 5.21579i 0.0274462 0.209810i
\(619\) 16.3642 + 9.44785i 0.657731 + 0.379741i 0.791412 0.611283i \(-0.209346\pi\)
−0.133681 + 0.991024i \(0.542680\pi\)
\(620\) −6.52637 1.73721i −0.262105 0.0697682i
\(621\) −22.5210 39.0075i −0.903737 1.56532i
\(622\) −29.7450 + 38.8306i −1.19267 + 1.55697i
\(623\) 12.0366 26.6850i 0.482237 1.06911i
\(624\) −2.55707 4.39546i −0.102365 0.175959i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 18.9026 7.84797i 0.755501 0.313668i
\(627\) −3.15001 + 5.45597i −0.125799 + 0.217891i
\(628\) 15.5694 15.6207i 0.621285 0.623336i
\(629\) 34.8083 1.38790
\(630\) 0.214761 7.10571i 0.00855628 0.283098i
\(631\) 3.99376i 0.158989i 0.996835 + 0.0794945i \(0.0253306\pi\)
−0.996835 + 0.0794945i \(0.974669\pi\)
\(632\) −4.35132 + 0.583808i −0.173086 + 0.0232226i
\(633\) −13.4043 7.73897i −0.532773 0.307596i
\(634\) 19.8264 8.23152i 0.787408 0.326915i
\(635\) −2.17379 + 1.25504i −0.0862644 + 0.0498048i
\(636\) −4.43489 16.4428i −0.175855 0.651999i
\(637\) 2.70019 8.04353i 0.106985 0.318696i
\(638\) 13.7680 + 10.5465i 0.545079 + 0.417541i
\(639\) −4.16642 + 2.40548i −0.164821 + 0.0951594i
\(640\) 4.26921 10.4773i 0.168755 0.414152i
\(641\) 9.65359 16.7205i 0.381294 0.660420i −0.609954 0.792437i \(-0.708812\pi\)
0.991247 + 0.132017i \(0.0421453\pi\)
\(642\) −1.92379 + 14.7062i −0.0759258 + 0.580409i
\(643\) 21.3394i 0.841544i −0.907166 0.420772i \(-0.861759\pi\)
0.907166 0.420772i \(-0.138241\pi\)
\(644\) 29.3013 35.9475i 1.15463 1.41653i
\(645\) 12.1771i 0.479473i
\(646\) −17.5156 2.29129i −0.689143 0.0901497i
\(647\) −11.9178 + 20.6422i −0.468535 + 0.811527i −0.999353 0.0359589i \(-0.988551\pi\)
0.530818 + 0.847486i \(0.321885\pi\)
\(648\) 0.693499 0.534869i 0.0272432 0.0210116i
\(649\) 23.3042 13.4547i 0.914769 0.528142i
\(650\) 1.04239 1.36079i 0.0408860 0.0533747i
\(651\) −3.85287 + 8.54176i −0.151006 + 0.334778i
\(652\) −6.62901 24.5777i −0.259612 0.962537i
\(653\) 3.56712 2.05948i 0.139592 0.0805936i −0.428577 0.903505i \(-0.640985\pi\)
0.568170 + 0.822911i \(0.307652\pi\)
\(654\) −2.74049 6.60075i −0.107162 0.258110i
\(655\) 4.72620 + 2.72867i 0.184668 + 0.106618i
\(656\) 6.33975 11.0648i 0.247526 0.432009i
\(657\) 24.4590i 0.954235i
\(658\) −31.8903 19.7198i −1.24321 0.768758i
\(659\) 39.8908 1.55393 0.776963 0.629546i \(-0.216759\pi\)
0.776963 + 0.629546i \(0.216759\pi\)
\(660\) 3.49412 + 3.48263i 0.136009 + 0.135561i
\(661\) −20.1318 + 34.8692i −0.783035 + 1.35626i 0.147132 + 0.989117i \(0.452996\pi\)
−0.930166 + 0.367139i \(0.880337\pi\)
\(662\) −8.92666 21.5008i −0.346945 0.835650i
\(663\) 3.10867 + 5.38438i 0.120731 + 0.209112i
\(664\) −4.81485 + 11.7058i −0.186853 + 0.454275i
\(665\) 6.72377 0.673685i 0.260737 0.0261244i
\(666\) −15.1816 11.6294i −0.588277 0.450631i
\(667\) −22.8508 39.5788i −0.884787 1.53250i
\(668\) 29.0988 + 7.74563i 1.12587 + 0.299688i
\(669\) 13.1272 + 7.57898i 0.507526 + 0.293020i
\(670\) −1.08490 0.141920i −0.0419133 0.00548286i
\(671\) 2.63802 0.101839
\(672\) −13.3783 8.21181i −0.516078 0.316778i
\(673\) −23.6181 −0.910412 −0.455206 0.890386i \(-0.650434\pi\)
−0.455206 + 0.890386i \(0.650434\pi\)
\(674\) 39.6678 + 5.18911i 1.52795 + 0.199877i
\(675\) −4.45070 2.56962i −0.171308 0.0989045i
\(676\) −22.2857 5.93208i −0.857141 0.228157i
\(677\) −12.2908 21.2883i −0.472374 0.818175i 0.527127 0.849787i \(-0.323269\pi\)
−0.999500 + 0.0316116i \(0.989936\pi\)
\(678\) 10.3221 + 7.90693i 0.396418 + 0.303664i
\(679\) 20.6355 + 28.6945i 0.791918 + 1.10119i
\(680\) −5.26194 + 12.7928i −0.201786 + 0.490581i
\(681\) 2.40916 + 4.17279i 0.0923192 + 0.159902i
\(682\) 4.30652 + 10.3727i 0.164905 + 0.397190i
\(683\) −10.5724 + 18.3120i −0.404543 + 0.700688i −0.994268 0.106915i \(-0.965903\pi\)
0.589726 + 0.807604i \(0.299236\pi\)
\(684\) 6.87391 + 6.85129i 0.262831 + 0.261966i
\(685\) −15.0699 −0.575791
\(686\) −4.41845 25.8162i −0.168697 0.985668i
\(687\) 13.7205i 0.523471i
\(688\) 40.2950 + 23.0876i 1.53623 + 0.880206i
\(689\) 8.52225 + 4.92032i 0.324672 + 0.187449i
\(690\) −4.98476 12.0063i −0.189766 0.457071i
\(691\) −1.87978 + 1.08529i −0.0715102 + 0.0412864i −0.535329 0.844644i \(-0.679812\pi\)
0.463819 + 0.885930i \(0.346479\pi\)
\(692\) 6.35008 + 23.5436i 0.241394 + 0.894993i
\(693\) −9.59789 + 6.90228i −0.364594 + 0.262196i
\(694\) −0.844294 + 1.10218i −0.0320490 + 0.0418384i
\(695\) −13.2282 + 7.63733i −0.501776 + 0.289700i
\(696\) −12.2491 + 9.44727i −0.464301 + 0.358098i
\(697\) −7.79584 + 13.5028i −0.295289 + 0.511455i
\(698\) 36.2552 + 4.74270i 1.37228 + 0.179514i
\(699\) 21.8848i 0.827759i
\(700\) 0.844549 5.22367i 0.0319210 0.197436i
\(701\) 45.6142i 1.72283i 0.507906 + 0.861413i \(0.330420\pi\)
−0.507906 + 0.861413i \(0.669580\pi\)
\(702\) 1.14267 8.73504i 0.0431272 0.329683i
\(703\) 9.08916 15.7429i 0.342804 0.593754i
\(704\) −18.1491 + 4.95933i −0.684020 + 0.186912i
\(705\) −9.10216 + 5.25513i −0.342807 + 0.197920i
\(706\) −14.8677 11.3889i −0.559552 0.428627i
\(707\) 0.421513 + 4.20695i 0.0158526 + 0.158219i
\(708\) 6.25023 + 23.1734i 0.234898 + 0.870908i
\(709\) 22.2197 12.8285i 0.834477 0.481785i −0.0209062 0.999781i \(-0.506655\pi\)
0.855383 + 0.517996i \(0.173322\pi\)
\(710\) −3.30729 + 1.37312i −0.124120 + 0.0515322i
\(711\) −2.55401 1.47456i −0.0957828 0.0553002i
\(712\) 31.0174 4.16154i 1.16242 0.155960i
\(713\) 29.5956i 1.10836i
\(714\) 16.3238 + 10.0940i 0.610901 + 0.377759i
\(715\) −2.85061 −0.106607
\(716\) −1.97281 + 1.97932i −0.0737274 + 0.0739708i
\(717\) 1.54681 2.67916i 0.0577668 0.100055i
\(718\) 7.00366 2.90777i 0.261374 0.108517i
\(719\) 11.6722 + 20.2169i 0.435301 + 0.753964i 0.997320 0.0731603i \(-0.0233085\pi\)
−0.562019 + 0.827124i \(0.689975\pi\)
\(720\) 6.56905 3.82157i 0.244814 0.142421i
\(721\) 8.55297 + 3.85793i 0.318529 + 0.143677i
\(722\) 10.7299 14.0074i 0.399326 0.521300i
\(723\) −0.483642 0.837693i −0.0179868 0.0311541i
\(724\) −49.5900 13.2001i −1.84300 0.490576i
\(725\) −4.51588 2.60725i −0.167716 0.0968307i
\(726\) −1.05220 + 8.04349i −0.0390510 + 0.298522i
\(727\) 17.2636 0.640273 0.320136 0.947371i \(-0.396271\pi\)
0.320136 + 0.947371i \(0.396271\pi\)
\(728\) 8.82489 2.09640i 0.327072 0.0776979i
\(729\) −15.5823 −0.577122
\(730\) 2.36147 18.0521i 0.0874020 0.668137i
\(731\) −49.1733 28.3902i −1.81874 1.05005i
\(732\) −0.605241 + 2.27377i −0.0223704 + 0.0840410i
\(733\) 13.4244 + 23.2518i 0.495843 + 0.858825i 0.999989 0.00479386i \(-0.00152594\pi\)
−0.504146 + 0.863619i \(0.668193\pi\)
\(734\) 18.3876 24.0041i 0.678698 0.886007i
\(735\) −6.96013 2.33649i −0.256728 0.0861829i
\(736\) 49.1807 + 6.26876i 1.81283 + 0.231069i
\(737\) 0.909769 + 1.57577i 0.0335118 + 0.0580441i
\(738\) 7.91142 3.28466i 0.291224 0.120910i
\(739\) −6.14064 + 10.6359i −0.225887 + 0.391248i −0.956585 0.291453i \(-0.905861\pi\)
0.730698 + 0.682701i \(0.239195\pi\)
\(740\) −10.0821 10.0489i −0.370625 0.369406i
\(741\) 3.24695 0.119280
\(742\) 30.3636 + 0.917701i 1.11468 + 0.0336899i
\(743\) 24.4507i 0.897009i −0.893781 0.448505i \(-0.851957\pi\)
0.893781 0.448505i \(-0.148043\pi\)
\(744\) −9.92852 + 1.33209i −0.363997 + 0.0488368i
\(745\) 3.67599 + 2.12234i 0.134678 + 0.0777564i
\(746\) −11.1336 + 4.62244i −0.407630 + 0.169239i
\(747\) −7.36328 + 4.25119i −0.269408 + 0.155543i
\(748\) 22.2098 5.99036i 0.812072 0.219029i
\(749\) −24.1156 10.8777i −0.881165 0.397461i
\(750\) −1.17750 0.901991i −0.0429964 0.0329360i
\(751\) −31.9771 + 18.4620i −1.16686 + 0.673687i −0.952938 0.303164i \(-0.901957\pi\)
−0.213921 + 0.976851i \(0.568624\pi\)
\(752\) −0.132106 40.0834i −0.00481743 1.46169i
\(753\) 4.87951 8.45156i 0.177819 0.307992i
\(754\) 1.15940 8.86296i 0.0422229 0.322770i
\(755\) 1.19778i 0.0435918i
\(756\) −9.66399 25.4192i −0.351476 0.924487i
\(757\) 14.6178i 0.531293i 0.964071 + 0.265646i \(0.0855854\pi\)
−0.964071 + 0.265646i \(0.914415\pi\)
\(758\) 6.24086 + 0.816394i 0.226678 + 0.0296528i
\(759\) −10.8093 + 18.7223i −0.392354 + 0.679577i
\(760\) 4.41185 + 5.72030i 0.160034 + 0.207497i
\(761\) −15.3433 + 8.85843i −0.556193 + 0.321118i −0.751616 0.659601i \(-0.770725\pi\)
0.195423 + 0.980719i \(0.437392\pi\)
\(762\) −2.26407 + 2.95563i −0.0820186 + 0.107071i
\(763\) 12.6848 1.27095i 0.459221 0.0460115i
\(764\) 13.6805 3.68986i 0.494945 0.133495i
\(765\) −8.04700 + 4.64594i −0.290940 + 0.167974i
\(766\) −6.26236 15.0835i −0.226268 0.544989i
\(767\) −12.0107 6.93437i −0.433681 0.250386i
\(768\) −0.110614 16.7810i −0.00399145 0.605531i
\(769\) 3.82227i 0.137834i −0.997622 0.0689172i \(-0.978046\pi\)
0.997622 0.0689172i \(-0.0219544\pi\)
\(770\) −7.75017 + 4.16760i −0.279297 + 0.150190i
\(771\) −31.5712 −1.13701
\(772\) −26.8570 + 26.9457i −0.966605 + 0.969796i
\(773\) −22.2173 + 38.4815i −0.799101 + 1.38408i 0.121102 + 0.992640i \(0.461357\pi\)
−0.920202 + 0.391443i \(0.871976\pi\)