Properties

Label 280.2.bj.e.171.2
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 171.2
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37955 + 0.311173i) q^{2} +(2.75363 + 1.58981i) q^{3} +(1.80634 - 0.858559i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-4.29350 - 1.33638i) q^{6} +(1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 + 6.15745i) q^{9} +O(q^{10})\) \(q+(-1.37955 + 0.311173i) q^{2} +(2.75363 + 1.58981i) q^{3} +(1.80634 - 0.858559i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-4.29350 - 1.33638i) q^{6} +(1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 + 6.15745i) q^{9} +(-0.959261 - 1.03914i) q^{10} +(1.21003 - 2.09584i) q^{11} +(6.33896 + 0.507586i) q^{12} +1.53832 q^{13} +(-0.681512 + 3.67907i) q^{14} +3.17962i q^{15} +(2.52575 - 3.10171i) q^{16} +(-6.58087 - 3.79947i) q^{17} +(-6.82035 - 7.38832i) q^{18} +(-1.52991 + 0.883293i) q^{19} +(1.64671 + 1.13506i) q^{20} +(6.73663 - 5.03864i) q^{21} +(-1.01714 + 3.26785i) q^{22} +(-5.66247 + 3.26923i) q^{23} +(-8.90289 + 1.27227i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-2.12220 + 0.478684i) q^{26} +13.0683i q^{27} +(-0.204642 - 5.28754i) q^{28} -2.34486i q^{29} +(-0.989412 - 4.38647i) q^{30} +(1.04132 - 1.80363i) q^{31} +(-2.51925 + 5.06492i) q^{32} +(6.66397 - 3.84745i) q^{33} +(10.2610 + 3.19379i) q^{34} +(2.62717 - 0.313017i) q^{35} +(11.7081 + 8.07028i) q^{36} +(-2.47037 + 1.42627i) q^{37} +(1.83574 - 1.69462i) q^{38} +(4.23598 + 2.44564i) q^{39} +(-2.62492 - 1.05347i) q^{40} +6.90356i q^{41} +(-7.72566 + 9.04733i) q^{42} -1.39343 q^{43} +(0.386332 - 4.82469i) q^{44} +(-3.55500 + 6.15745i) q^{45} +(6.79439 - 6.27208i) q^{46} +(5.65799 + 9.79993i) q^{47} +(11.8861 - 4.52550i) q^{48} +(-4.82637 - 5.07012i) q^{49} +(0.420294 - 1.35032i) q^{50} +(-12.0809 - 20.9247i) q^{51} +(2.77874 - 1.32074i) q^{52} +(-6.82251 - 3.93898i) q^{53} +(-4.06649 - 18.0284i) q^{54} +2.42006 q^{55} +(1.92765 + 7.23078i) q^{56} -5.61708 q^{57} +(0.729658 + 3.23487i) q^{58} +(4.90087 + 2.82952i) q^{59} +(2.72990 + 5.74349i) q^{60} +(-4.93580 - 8.54905i) q^{61} +(-0.875325 + 2.81223i) q^{62} +(18.6792 - 2.22555i) q^{63} +(1.89937 - 7.77125i) q^{64} +(0.769162 + 1.33223i) q^{65} +(-7.99610 + 7.38141i) q^{66} +(3.13260 - 5.42583i) q^{67} +(-15.1494 - 1.21307i) q^{68} -20.7898 q^{69} +(-3.52692 + 1.24933i) q^{70} -3.98199i q^{71} +(-18.6632 - 7.49016i) q^{72} +(-2.73292 - 1.57785i) q^{73} +(2.96419 - 2.73633i) q^{74} +(-2.75363 + 1.58981i) q^{75} +(-2.00518 + 2.90905i) q^{76} +(-3.83499 - 5.12736i) q^{77} +(-6.60478 - 2.05578i) q^{78} +(1.75753 - 1.01471i) q^{79} +(3.94903 + 0.636512i) q^{80} +(-10.1111 + 17.5129i) q^{81} +(-2.14820 - 9.52384i) q^{82} -0.288923i q^{83} +(7.84269 - 14.8853i) q^{84} -7.59894i q^{85} +(1.92231 - 0.433596i) q^{86} +(3.72789 - 6.45690i) q^{87} +(0.968343 + 6.77613i) q^{88} +(12.0399 - 6.95124i) q^{89} +(2.98829 - 9.60076i) q^{90} +(1.60371 - 3.74075i) q^{91} +(-7.42153 + 10.7669i) q^{92} +(5.73485 - 3.31102i) q^{93} +(-10.8550 - 11.7589i) q^{94} +(-1.52991 - 0.883293i) q^{95} +(-14.9894 + 9.94181i) q^{96} +0.249149i q^{97} +(8.23592 + 5.49268i) q^{98} +17.2067 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37955 + 0.311173i −0.975493 + 0.220032i
\(3\) 2.75363 + 1.58981i 1.58981 + 0.917878i 0.993337 + 0.115247i \(0.0367658\pi\)
0.596475 + 0.802632i \(0.296568\pi\)
\(4\) 1.80634 0.858559i 0.903172 0.429280i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −4.29350 1.33638i −1.75281 0.545574i
\(7\) 1.04250 2.43170i 0.394030 0.919098i
\(8\) −2.22479 + 1.74651i −0.786582 + 0.617486i
\(9\) 3.55500 + 6.15745i 1.18500 + 2.05248i
\(10\) −0.959261 1.03914i −0.303345 0.328606i
\(11\) 1.21003 2.09584i 0.364838 0.631919i −0.623912 0.781495i \(-0.714458\pi\)
0.988750 + 0.149576i \(0.0477909\pi\)
\(12\) 6.33896 + 0.507586i 1.82990 + 0.146528i
\(13\) 1.53832 0.426654 0.213327 0.976981i \(-0.431570\pi\)
0.213327 + 0.976981i \(0.431570\pi\)
\(14\) −0.681512 + 3.67907i −0.182142 + 0.983272i
\(15\) 3.17962i 0.820975i
\(16\) 2.52575 3.10171i 0.631438 0.775427i
\(17\) −6.58087 3.79947i −1.59610 0.921506i −0.992230 0.124421i \(-0.960293\pi\)
−0.603866 0.797086i \(-0.706374\pi\)
\(18\) −6.82035 7.38832i −1.60757 1.74144i
\(19\) −1.52991 + 0.883293i −0.350985 + 0.202641i −0.665119 0.746737i \(-0.731619\pi\)
0.314134 + 0.949379i \(0.398286\pi\)
\(20\) 1.64671 + 1.13506i 0.368215 + 0.253807i
\(21\) 6.73663 5.03864i 1.47005 1.09952i
\(22\) −1.01714 + 3.26785i −0.216855 + 0.696708i
\(23\) −5.66247 + 3.26923i −1.18071 + 0.681681i −0.956178 0.292787i \(-0.905417\pi\)
−0.224528 + 0.974468i \(0.572084\pi\)
\(24\) −8.90289 + 1.27227i −1.81729 + 0.259700i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −2.12220 + 0.478684i −0.416198 + 0.0938777i
\(27\) 13.0683i 2.51499i
\(28\) −0.204642 5.28754i −0.0386736 0.999252i
\(29\) 2.34486i 0.435430i −0.976012 0.217715i \(-0.930140\pi\)
0.976012 0.217715i \(-0.0698604\pi\)
\(30\) −0.989412 4.38647i −0.180641 0.800855i
\(31\) 1.04132 1.80363i 0.187027 0.323941i −0.757230 0.653148i \(-0.773448\pi\)
0.944258 + 0.329207i \(0.106781\pi\)
\(32\) −2.51925 + 5.06492i −0.445344 + 0.895360i
\(33\) 6.66397 3.84745i 1.16005 0.669754i
\(34\) 10.2610 + 3.19379i 1.75974 + 0.547730i
\(35\) 2.62717 0.313017i 0.444073 0.0529095i
\(36\) 11.7081 + 8.07028i 1.95135 + 1.34505i
\(37\) −2.47037 + 1.42627i −0.406126 + 0.234477i −0.689124 0.724644i \(-0.742004\pi\)
0.282998 + 0.959121i \(0.408671\pi\)
\(38\) 1.83574 1.69462i 0.297796 0.274903i
\(39\) 4.23598 + 2.44564i 0.678300 + 0.391617i
\(40\) −2.62492 1.05347i −0.415036 0.166568i
\(41\) 6.90356i 1.07815i 0.842256 + 0.539077i \(0.181227\pi\)
−0.842256 + 0.539077i \(0.818773\pi\)
\(42\) −7.72566 + 9.04733i −1.19210 + 1.39603i
\(43\) −1.39343 −0.212496 −0.106248 0.994340i \(-0.533884\pi\)
−0.106248 + 0.994340i \(0.533884\pi\)
\(44\) 0.386332 4.82469i 0.0582418 0.727349i
\(45\) −3.55500 + 6.15745i −0.529949 + 0.917898i
\(46\) 6.79439 6.27208i 1.00178 0.924768i
\(47\) 5.65799 + 9.79993i 0.825303 + 1.42947i 0.901688 + 0.432388i \(0.142329\pi\)
−0.0763851 + 0.997078i \(0.524338\pi\)
\(48\) 11.8861 4.52550i 1.71561 0.653199i
\(49\) −4.82637 5.07012i −0.689481 0.724304i
\(50\) 0.420294 1.35032i 0.0594385 0.190964i
\(51\) −12.0809 20.9247i −1.69166 2.93004i
\(52\) 2.77874 1.32074i 0.385342 0.183154i
\(53\) −6.82251 3.93898i −0.937144 0.541060i −0.0480800 0.998843i \(-0.515310\pi\)
−0.889064 + 0.457783i \(0.848644\pi\)
\(54\) −4.06649 18.0284i −0.553379 2.45335i
\(55\) 2.42006 0.326321
\(56\) 1.92765 + 7.23078i 0.257594 + 0.966253i
\(57\) −5.61708 −0.744000
\(58\) 0.729658 + 3.23487i 0.0958087 + 0.424759i
\(59\) 4.90087 + 2.82952i 0.638038 + 0.368372i 0.783859 0.620939i \(-0.213249\pi\)
−0.145820 + 0.989311i \(0.546582\pi\)
\(60\) 2.72990 + 5.74349i 0.352428 + 0.741482i
\(61\) −4.93580 8.54905i −0.631964 1.09459i −0.987150 0.159798i \(-0.948916\pi\)
0.355186 0.934796i \(-0.384418\pi\)
\(62\) −0.875325 + 2.81223i −0.111166 + 0.357154i
\(63\) 18.6792 2.22555i 2.35336 0.280393i
\(64\) 1.89937 7.77125i 0.237422 0.971407i
\(65\) 0.769162 + 1.33223i 0.0954027 + 0.165242i
\(66\) −7.99610 + 7.38141i −0.984251 + 0.908589i
\(67\) 3.13260 5.42583i 0.382708 0.662870i −0.608740 0.793370i \(-0.708325\pi\)
0.991448 + 0.130499i \(0.0416581\pi\)
\(68\) −15.1494 1.21307i −1.83713 0.147107i
\(69\) −20.7898 −2.50280
\(70\) −3.52692 + 1.24933i −0.421548 + 0.149323i
\(71\) 3.98199i 0.472575i −0.971683 0.236287i \(-0.924069\pi\)
0.971683 0.236287i \(-0.0759307\pi\)
\(72\) −18.6632 7.49016i −2.19948 0.882723i
\(73\) −2.73292 1.57785i −0.319865 0.184674i 0.331468 0.943467i \(-0.392456\pi\)
−0.651332 + 0.758793i \(0.725790\pi\)
\(74\) 2.96419 2.73633i 0.344580 0.318091i
\(75\) −2.75363 + 1.58981i −0.317962 + 0.183576i
\(76\) −2.00518 + 2.90905i −0.230010 + 0.333691i
\(77\) −3.83499 5.12736i −0.437038 0.584317i
\(78\) −6.60478 2.05578i −0.747845 0.232771i
\(79\) 1.75753 1.01471i 0.197738 0.114164i −0.397862 0.917445i \(-0.630248\pi\)
0.595600 + 0.803281i \(0.296914\pi\)
\(80\) 3.94903 + 0.636512i 0.441515 + 0.0711642i
\(81\) −10.1111 + 17.5129i −1.12345 + 1.94588i
\(82\) −2.14820 9.52384i −0.237229 1.05173i
\(83\) 0.288923i 0.0317134i −0.999874 0.0158567i \(-0.994952\pi\)
0.999874 0.0158567i \(-0.00504756\pi\)
\(84\) 7.84269 14.8853i 0.855708 1.62412i
\(85\) 7.59894i 0.824220i
\(86\) 1.92231 0.433596i 0.207288 0.0467559i
\(87\) 3.72789 6.45690i 0.399672 0.692252i
\(88\) 0.968343 + 6.77613i 0.103226 + 0.722338i
\(89\) 12.0399 6.95124i 1.27623 0.736830i 0.300074 0.953916i \(-0.402989\pi\)
0.976152 + 0.217086i \(0.0696553\pi\)
\(90\) 2.98829 9.60076i 0.314994 1.01201i
\(91\) 1.60371 3.74075i 0.168114 0.392137i
\(92\) −7.42153 + 10.7669i −0.773748 + 1.12253i
\(93\) 5.73485 3.31102i 0.594677 0.343337i
\(94\) −10.8550 11.7589i −1.11961 1.21284i
\(95\) −1.52991 0.883293i −0.156965 0.0906240i
\(96\) −14.9894 + 9.94181i −1.52984 + 1.01468i
\(97\) 0.249149i 0.0252972i 0.999920 + 0.0126486i \(0.00402629\pi\)
−0.999920 + 0.0126486i \(0.995974\pi\)
\(98\) 8.23592 + 5.49268i 0.831954 + 0.554845i
\(99\) 17.2067 1.72934
\(100\) −0.159637 + 1.99362i −0.0159637 + 0.199362i
\(101\) 4.87755 8.44817i 0.485335 0.840624i −0.514523 0.857476i \(-0.672031\pi\)
0.999858 + 0.0168520i \(0.00536443\pi\)
\(102\) 23.1774 + 25.1075i 2.29491 + 2.48602i
\(103\) 2.99947 + 5.19523i 0.295546 + 0.511902i 0.975112 0.221713i \(-0.0711649\pi\)
−0.679565 + 0.733615i \(0.737832\pi\)
\(104\) −3.42244 + 2.68670i −0.335598 + 0.263453i
\(105\) 7.73190 + 3.31477i 0.754557 + 0.323489i
\(106\) 10.6377 + 3.31106i 1.03323 + 0.321598i
\(107\) −0.0626308 0.108480i −0.00605475 0.0104871i 0.862982 0.505234i \(-0.168594\pi\)
−0.869037 + 0.494747i \(0.835261\pi\)
\(108\) 11.2199 + 23.6058i 1.07963 + 2.27147i
\(109\) 0.399788 + 0.230818i 0.0382928 + 0.0221083i 0.519024 0.854760i \(-0.326295\pi\)
−0.480731 + 0.876868i \(0.659629\pi\)
\(110\) −3.33861 + 0.753058i −0.318324 + 0.0718012i
\(111\) −9.06999 −0.860885
\(112\) −4.90932 9.37542i −0.463888 0.885894i
\(113\) −9.65049 −0.907842 −0.453921 0.891042i \(-0.649975\pi\)
−0.453921 + 0.891042i \(0.649975\pi\)
\(114\) 7.74907 1.74788i 0.725767 0.163704i
\(115\) −5.66247 3.26923i −0.528028 0.304857i
\(116\) −2.01321 4.23563i −0.186921 0.393268i
\(117\) 5.46874 + 9.47214i 0.505586 + 0.875700i
\(118\) −7.64148 2.37846i −0.703455 0.218955i
\(119\) −16.0998 + 12.0418i −1.47586 + 1.10387i
\(120\) −5.55326 7.07399i −0.506941 0.645764i
\(121\) 2.57165 + 4.45422i 0.233786 + 0.404929i
\(122\) 9.46944 + 10.2580i 0.857322 + 0.928716i
\(123\) −10.9754 + 19.0099i −0.989615 + 1.71406i
\(124\) 0.332468 4.15201i 0.0298565 0.372861i
\(125\) −1.00000 −0.0894427
\(126\) −25.0764 + 8.88272i −2.23399 + 0.791336i
\(127\) 9.40385i 0.834457i 0.908802 + 0.417229i \(0.136999\pi\)
−0.908802 + 0.417229i \(0.863001\pi\)
\(128\) −0.202090 + 11.3119i −0.0178624 + 0.999840i
\(129\) −3.83699 2.21529i −0.337828 0.195045i
\(130\) −1.47565 1.59854i −0.129423 0.140201i
\(131\) 16.2949 9.40788i 1.42369 0.821970i 0.427082 0.904213i \(-0.359541\pi\)
0.996612 + 0.0822423i \(0.0262081\pi\)
\(132\) 8.73416 12.6712i 0.760211 1.10289i
\(133\) 0.552971 + 4.64112i 0.0479486 + 0.402436i
\(134\) −2.63323 + 8.46001i −0.227476 + 0.730833i
\(135\) −11.3175 + 6.53414i −0.974052 + 0.562369i
\(136\) 21.2769 3.04057i 1.82448 0.260727i
\(137\) 7.55473 13.0852i 0.645444 1.11794i −0.338755 0.940875i \(-0.610006\pi\)
0.984199 0.177067i \(-0.0566609\pi\)
\(138\) 28.6807 6.46922i 2.44146 0.550697i
\(139\) 11.1193i 0.943129i 0.881831 + 0.471565i \(0.156311\pi\)
−0.881831 + 0.471565i \(0.843689\pi\)
\(140\) 4.47683 2.82100i 0.378361 0.238418i
\(141\) 35.9806i 3.03011i
\(142\) 1.23909 + 5.49337i 0.103982 + 0.460993i
\(143\) 1.86142 3.22407i 0.155660 0.269611i
\(144\) 28.0776 + 4.52560i 2.33980 + 0.377134i
\(145\) 2.03071 1.17243i 0.168641 0.0973652i
\(146\) 4.26120 + 1.32633i 0.352660 + 0.109767i
\(147\) −5.22951 21.6343i −0.431323 1.78437i
\(148\) −3.23780 + 4.69729i −0.266145 + 0.386115i
\(149\) −9.67998 + 5.58874i −0.793014 + 0.457847i −0.841023 0.541000i \(-0.818046\pi\)
0.0480082 + 0.998847i \(0.484713\pi\)
\(150\) 3.30408 3.05009i 0.269777 0.249039i
\(151\) 13.1832 + 7.61131i 1.07283 + 0.619399i 0.928954 0.370196i \(-0.120710\pi\)
0.143878 + 0.989595i \(0.454043\pi\)
\(152\) 1.86104 4.63715i 0.150950 0.376122i
\(153\) 54.0285i 4.36794i
\(154\) 6.88607 + 5.88013i 0.554896 + 0.473834i
\(155\) 2.08265 0.167282
\(156\) 9.75137 + 0.780832i 0.780734 + 0.0625166i
\(157\) 0.357836 0.619791i 0.0285584 0.0494647i −0.851393 0.524528i \(-0.824242\pi\)
0.879951 + 0.475064i \(0.157575\pi\)
\(158\) −2.10886 + 1.94675i −0.167772 + 0.154875i
\(159\) −12.5245 21.6930i −0.993255 1.72037i
\(160\) −5.64597 + 0.350728i −0.446353 + 0.0277275i
\(161\) 2.04664 + 17.1776i 0.161298 + 1.35379i
\(162\) 8.49926 27.3063i 0.667765 2.14539i
\(163\) 0.890005 + 1.54153i 0.0697105 + 0.120742i 0.898774 0.438413i \(-0.144459\pi\)
−0.829063 + 0.559155i \(0.811126\pi\)
\(164\) 5.92712 + 12.4702i 0.462830 + 0.973759i
\(165\) 6.66397 + 3.84745i 0.518790 + 0.299523i
\(166\) 0.0899050 + 0.398585i 0.00697798 + 0.0309362i
\(167\) 5.69155 0.440426 0.220213 0.975452i \(-0.429325\pi\)
0.220213 + 0.975452i \(0.429325\pi\)
\(168\) −6.18752 + 22.9755i −0.477378 + 1.77260i
\(169\) −10.6336 −0.817966
\(170\) 2.36458 + 10.4831i 0.181355 + 0.804021i
\(171\) −10.8777 6.28022i −0.831835 0.480260i
\(172\) −2.51701 + 1.19634i −0.191920 + 0.0912200i
\(173\) −9.46941 16.4015i −0.719946 1.24698i −0.961021 0.276476i \(-0.910833\pi\)
0.241075 0.970506i \(-0.422500\pi\)
\(174\) −3.13362 + 10.0677i −0.237559 + 0.763228i
\(175\) 1.58467 + 2.11869i 0.119789 + 0.160158i
\(176\) −3.44443 9.04673i −0.259634 0.681923i
\(177\) 8.99680 + 15.5829i 0.676241 + 1.17128i
\(178\) −14.4467 + 13.3361i −1.08282 + 0.999583i
\(179\) −1.49172 + 2.58374i −0.111497 + 0.193118i −0.916374 0.400323i \(-0.868898\pi\)
0.804877 + 0.593441i \(0.202231\pi\)
\(180\) −1.13502 + 14.1746i −0.0845995 + 1.05652i
\(181\) 14.9790 1.11338 0.556691 0.830720i \(-0.312071\pi\)
0.556691 + 0.830720i \(0.312071\pi\)
\(182\) −1.04839 + 5.65960i −0.0777116 + 0.419517i
\(183\) 31.3880i 2.32026i
\(184\) 6.88804 17.1629i 0.507793 1.26527i
\(185\) −2.47037 1.42627i −0.181625 0.104861i
\(186\) −6.88125 + 6.35226i −0.504557 + 0.465770i
\(187\) −15.9261 + 9.19496i −1.16463 + 0.672402i
\(188\) 18.6341 + 12.8443i 1.35903 + 0.936767i
\(189\) 31.7782 + 13.6237i 2.31152 + 0.990981i
\(190\) 2.38545 + 0.742486i 0.173059 + 0.0538656i
\(191\) −22.4510 + 12.9621i −1.62450 + 0.937904i −0.638801 + 0.769372i \(0.720569\pi\)
−0.985696 + 0.168532i \(0.946097\pi\)
\(192\) 17.5850 18.3795i 1.26909 1.32643i
\(193\) −3.55040 + 6.14947i −0.255563 + 0.442648i −0.965048 0.262072i \(-0.915594\pi\)
0.709485 + 0.704720i \(0.248928\pi\)
\(194\) −0.0775284 0.343715i −0.00556621 0.0246773i
\(195\) 4.89129i 0.350272i
\(196\) −13.0711 5.01466i −0.933649 0.358190i
\(197\) 0.614082i 0.0437515i −0.999761 0.0218758i \(-0.993036\pi\)
0.999761 0.0218758i \(-0.00696383\pi\)
\(198\) −23.7375 + 5.35425i −1.68695 + 0.380510i
\(199\) −4.47143 + 7.74474i −0.316971 + 0.549010i −0.979854 0.199713i \(-0.935999\pi\)
0.662884 + 0.748723i \(0.269332\pi\)
\(200\) −0.400131 2.79998i −0.0282936 0.197989i
\(201\) 17.2521 9.96050i 1.21687 0.702559i
\(202\) −4.10001 + 13.1725i −0.288476 + 0.926812i
\(203\) −5.70202 2.44453i −0.400203 0.171572i
\(204\) −39.7873 27.4250i −2.78567 1.92014i
\(205\) −5.97866 + 3.45178i −0.417568 + 0.241083i
\(206\) −5.75455 6.23376i −0.400938 0.434326i
\(207\) −40.2602 23.2442i −2.79828 1.61559i
\(208\) 3.88542 4.77143i 0.269406 0.330839i
\(209\) 4.27525i 0.295725i
\(210\) −11.6981 2.16695i −0.807242 0.149534i
\(211\) 10.6756 0.734942 0.367471 0.930035i \(-0.380224\pi\)
0.367471 + 0.930035i \(0.380224\pi\)
\(212\) −15.7056 1.25762i −1.07867 0.0863734i
\(213\) 6.33061 10.9649i 0.433766 0.751305i
\(214\) 0.120159 + 0.130165i 0.00821387 + 0.00889788i
\(215\) −0.696713 1.20674i −0.0475154 0.0822992i
\(216\) −22.8239 29.0742i −1.55297 1.97825i
\(217\) −3.30030 4.41248i −0.224039 0.299539i
\(218\) −0.623354 0.194023i −0.0422189 0.0131409i
\(219\) −5.01698 8.68967i −0.339016 0.587194i
\(220\) 4.37147 2.07777i 0.294724 0.140083i
\(221\) −10.1235 5.84481i −0.680981 0.393164i
\(222\) 12.5125 2.82233i 0.839787 0.189423i
\(223\) 1.40260 0.0939252 0.0469626 0.998897i \(-0.485046\pi\)
0.0469626 + 0.998897i \(0.485046\pi\)
\(224\) 9.69006 + 11.4063i 0.647444 + 0.762113i
\(225\) −7.11001 −0.474000
\(226\) 13.3134 3.00297i 0.885593 0.199755i
\(227\) 3.48428 + 2.01165i 0.231260 + 0.133518i 0.611153 0.791512i \(-0.290706\pi\)
−0.379893 + 0.925030i \(0.624039\pi\)
\(228\) −10.1464 + 4.82260i −0.671960 + 0.319384i
\(229\) 10.8680 + 18.8239i 0.718178 + 1.24392i 0.961721 + 0.274031i \(0.0883571\pi\)
−0.243542 + 0.969890i \(0.578310\pi\)
\(230\) 8.82898 + 2.74807i 0.582165 + 0.181203i
\(231\) −2.40863 20.2158i −0.158476 1.33010i
\(232\) 4.09534 + 5.21683i 0.268872 + 0.342502i
\(233\) 5.69230 + 9.85935i 0.372915 + 0.645907i 0.990013 0.140979i \(-0.0450251\pi\)
−0.617098 + 0.786886i \(0.711692\pi\)
\(234\) −10.4919 11.3656i −0.685877 0.742994i
\(235\) −5.65799 + 9.79993i −0.369087 + 0.639277i
\(236\) 11.2820 + 0.903392i 0.734393 + 0.0588058i
\(237\) 6.45281 0.419155
\(238\) 18.4634 21.6221i 1.19681 1.40155i
\(239\) 25.7524i 1.66578i 0.553435 + 0.832892i \(0.313317\pi\)
−0.553435 + 0.832892i \(0.686683\pi\)
\(240\) 9.86226 + 8.03094i 0.636606 + 0.518395i
\(241\) −1.67062 0.964530i −0.107614 0.0621309i 0.445227 0.895418i \(-0.353123\pi\)
−0.552841 + 0.833287i \(0.686456\pi\)
\(242\) −4.93376 5.34462i −0.317154 0.343565i
\(243\) −21.7321 + 12.5470i −1.39412 + 0.804893i
\(244\) −16.2556 11.2048i −1.04066 0.717317i
\(245\) 1.97767 6.71482i 0.126349 0.428994i
\(246\) 9.22576 29.6404i 0.588213 1.88980i
\(247\) −2.35349 + 1.35879i −0.149749 + 0.0864577i
\(248\) 0.833333 + 5.83138i 0.0529167 + 0.370293i
\(249\) 0.459334 0.795589i 0.0291091 0.0504184i
\(250\) 1.37955 0.311173i 0.0872507 0.0196803i
\(251\) 12.9948i 0.820222i 0.912036 + 0.410111i \(0.134510\pi\)
−0.912036 + 0.410111i \(0.865490\pi\)
\(252\) 31.8303 20.0573i 2.00512 1.26349i
\(253\) 15.8235i 0.994813i
\(254\) −2.92622 12.9731i −0.183607 0.814007i
\(255\) 12.0809 20.9247i 0.756534 1.31036i
\(256\) −3.24116 15.6683i −0.202573 0.979267i
\(257\) −14.4110 + 8.32019i −0.898933 + 0.518999i −0.876854 0.480757i \(-0.840362\pi\)
−0.0220792 + 0.999756i \(0.507029\pi\)
\(258\) 5.98267 + 1.86214i 0.372465 + 0.115932i
\(259\) 0.892891 + 7.49409i 0.0554815 + 0.465660i
\(260\) 2.53317 + 1.74609i 0.157100 + 0.108288i
\(261\) 14.4384 8.33600i 0.893713 0.515985i
\(262\) −19.5523 + 18.0492i −1.20794 + 1.11508i
\(263\) −5.95477 3.43799i −0.367187 0.211995i 0.305042 0.952339i \(-0.401330\pi\)
−0.672229 + 0.740343i \(0.734663\pi\)
\(264\) −8.10631 + 20.1985i −0.498909 + 1.24313i
\(265\) 7.87796i 0.483939i
\(266\) −2.20704 6.23061i −0.135323 0.382023i
\(267\) 44.2046 2.70528
\(268\) 1.00016 12.4904i 0.0610945 0.762975i
\(269\) 11.0639 19.1633i 0.674580 1.16841i −0.302012 0.953304i \(-0.597658\pi\)
0.976591 0.215102i \(-0.0690085\pi\)
\(270\) 13.5798 12.5359i 0.826441 0.762910i
\(271\) −5.29547 9.17203i −0.321677 0.557161i 0.659157 0.752005i \(-0.270913\pi\)
−0.980834 + 0.194844i \(0.937580\pi\)
\(272\) −28.4065 + 10.8154i −1.72240 + 0.655781i
\(273\) 10.3631 7.75105i 0.627204 0.469115i
\(274\) −6.35041 + 20.4025i −0.383642 + 1.23256i
\(275\) 1.21003 + 2.09584i 0.0729677 + 0.126384i
\(276\) −37.5535 + 17.8493i −2.26046 + 1.07440i
\(277\) 16.5032 + 9.52815i 0.991583 + 0.572491i 0.905747 0.423818i \(-0.139311\pi\)
0.0858360 + 0.996309i \(0.472644\pi\)
\(278\) −3.46003 15.3397i −0.207519 0.920016i
\(279\) 14.8076 0.886511
\(280\) −5.29821 + 5.28479i −0.316629 + 0.315826i
\(281\) −17.6280 −1.05160 −0.525799 0.850609i \(-0.676234\pi\)
−0.525799 + 0.850609i \(0.676234\pi\)
\(282\) −11.1962 49.6372i −0.666722 2.95585i
\(283\) 0.485654 + 0.280393i 0.0288691 + 0.0166676i 0.514365 0.857571i \(-0.328028\pi\)
−0.485496 + 0.874239i \(0.661361\pi\)
\(284\) −3.41877 7.19284i −0.202867 0.426816i
\(285\) −2.80854 4.86453i −0.166364 0.288150i
\(286\) −1.56469 + 5.02701i −0.0925219 + 0.297253i
\(287\) 16.7874 + 7.19699i 0.990930 + 0.424825i
\(288\) −40.1429 + 2.49368i −2.36544 + 0.146941i
\(289\) 20.3719 + 35.2852i 1.19835 + 2.07560i
\(290\) −2.43665 + 2.24934i −0.143085 + 0.132086i
\(291\) −0.396100 + 0.686065i −0.0232198 + 0.0402179i
\(292\) −6.29128 0.503769i −0.368169 0.0294808i
\(293\) 23.8016 1.39051 0.695253 0.718765i \(-0.255292\pi\)
0.695253 + 0.718765i \(0.255292\pi\)
\(294\) 13.9464 + 28.2184i 0.813371 + 1.64573i
\(295\) 5.65903i 0.329482i
\(296\) 3.00505 7.48768i 0.174665 0.435212i
\(297\) 27.3890 + 15.8130i 1.58927 + 0.917565i
\(298\) 11.6150 10.7221i 0.672839 0.621115i
\(299\) −8.71070 + 5.02913i −0.503753 + 0.290842i
\(300\) −3.60906 + 5.23591i −0.208369 + 0.302295i
\(301\) −1.45265 + 3.38840i −0.0837295 + 0.195304i
\(302\) −20.5553 6.39797i −1.18283 0.368162i
\(303\) 26.8620 15.5088i 1.54318 0.890956i
\(304\) −1.12445 + 6.97630i −0.0644918 + 0.400119i
\(305\) 4.93580 8.54905i 0.282623 0.489517i
\(306\) 16.8122 + 74.5353i 0.961089 + 4.26090i
\(307\) 9.32160i 0.532012i −0.963971 0.266006i \(-0.914296\pi\)
0.963971 0.266006i \(-0.0857041\pi\)
\(308\) −11.3295 5.96920i −0.645555 0.340127i
\(309\) 19.0744i 1.08510i
\(310\) −2.87313 + 0.648063i −0.163183 + 0.0368075i
\(311\) 2.73260 4.73300i 0.154951 0.268384i −0.778090 0.628153i \(-0.783811\pi\)
0.933041 + 0.359769i \(0.117145\pi\)
\(312\) −13.6955 + 1.95716i −0.775356 + 0.110802i
\(313\) −19.9919 + 11.5423i −1.13001 + 0.652412i −0.943937 0.330124i \(-0.892909\pi\)
−0.186073 + 0.982536i \(0.559576\pi\)
\(314\) −0.300793 + 0.966384i −0.0169747 + 0.0545362i
\(315\) 11.2670 + 15.0639i 0.634822 + 0.848754i
\(316\) 2.30352 3.34187i 0.129583 0.187995i
\(317\) 26.2154 15.1355i 1.47241 0.850094i 0.472887 0.881123i \(-0.343212\pi\)
0.999518 + 0.0310291i \(0.00987845\pi\)
\(318\) 24.0285 + 26.0294i 1.34745 + 1.45966i
\(319\) −4.91445 2.83736i −0.275157 0.158862i
\(320\) 7.67979 2.24072i 0.429313 0.125260i
\(321\) 0.398285i 0.0222301i
\(322\) −8.16866 23.0606i −0.455222 1.28512i
\(323\) 13.4242 0.746941
\(324\) −3.22821 + 40.3153i −0.179345 + 2.23974i
\(325\) −0.769162 + 1.33223i −0.0426654 + 0.0738987i
\(326\) −1.70749 1.84968i −0.0945693 0.102445i
\(327\) 0.733914 + 1.27118i 0.0405855 + 0.0702962i
\(328\) −12.0572 15.3590i −0.665746 0.848057i
\(329\) 29.7290 3.54209i 1.63901 0.195282i
\(330\) −10.3905 3.23412i −0.571980 0.178032i
\(331\) 0.262181 + 0.454110i 0.0144108 + 0.0249602i 0.873141 0.487468i \(-0.162079\pi\)
−0.858730 + 0.512428i \(0.828746\pi\)
\(332\) −0.248058 0.521895i −0.0136139 0.0286427i
\(333\) −17.5643 10.1408i −0.962519 0.555711i
\(334\) −7.85181 + 1.77106i −0.429632 + 0.0969079i
\(335\) 6.26521 0.342305
\(336\) 1.38667 33.6214i 0.0756491 1.83420i
\(337\) −3.41643 −0.186105 −0.0930524 0.995661i \(-0.529662\pi\)
−0.0930524 + 0.995661i \(0.529662\pi\)
\(338\) 14.6696 3.30887i 0.797920 0.179979i
\(339\) −26.5739 15.3425i −1.44330 0.833288i
\(340\) −6.52414 13.7263i −0.353821 0.744412i
\(341\) −2.52007 4.36489i −0.136470 0.236372i
\(342\) 16.9606 + 5.27908i 0.917122 + 0.285460i
\(343\) −17.3606 + 6.45067i −0.937382 + 0.348304i
\(344\) 3.10008 2.43364i 0.167145 0.131213i
\(345\) −10.3949 18.0045i −0.559643 0.969330i
\(346\) 18.1673 + 19.6801i 0.976678 + 1.05801i
\(347\) 4.64349 8.04275i 0.249275 0.431758i −0.714050 0.700095i \(-0.753141\pi\)
0.963325 + 0.268337i \(0.0864742\pi\)
\(348\) 1.19022 14.8640i 0.0638026 0.796794i
\(349\) −18.6699 −0.999374 −0.499687 0.866206i \(-0.666552\pi\)
−0.499687 + 0.866206i \(0.666552\pi\)
\(350\) −2.84541 2.42974i −0.152094 0.129875i
\(351\) 20.1032i 1.07303i
\(352\) 7.56687 + 11.4086i 0.403316 + 0.608083i
\(353\) −11.7057 6.75828i −0.623030 0.359707i 0.155018 0.987912i \(-0.450457\pi\)
−0.778048 + 0.628205i \(0.783790\pi\)
\(354\) −17.2606 18.6979i −0.917388 0.993783i
\(355\) 3.44850 1.99099i 0.183027 0.105671i
\(356\) 15.7801 22.8933i 0.836345 1.21334i
\(357\) −63.4770 + 7.56303i −3.35956 + 0.400278i
\(358\) 1.25392 4.02860i 0.0662720 0.212918i
\(359\) 22.8266 13.1789i 1.20474 0.695558i 0.243135 0.969992i \(-0.421824\pi\)
0.961606 + 0.274435i \(0.0884907\pi\)
\(360\) −2.84494 19.9079i −0.149941 1.04924i
\(361\) −7.93959 + 13.7518i −0.417873 + 0.723777i
\(362\) −20.6644 + 4.66106i −1.08610 + 0.244980i
\(363\) 16.3537i 0.858348i
\(364\) −0.314805 8.13395i −0.0165003 0.426335i
\(365\) 3.15571i 0.165177i
\(366\) 9.76707 + 43.3014i 0.510533 + 2.26340i
\(367\) 17.7819 30.7992i 0.928208 1.60770i 0.141889 0.989883i \(-0.454682\pi\)
0.786319 0.617821i \(-0.211984\pi\)
\(368\) −4.16180 + 25.8206i −0.216949 + 1.34599i
\(369\) −42.5083 + 24.5422i −2.21289 + 1.27761i
\(370\) 3.85182 + 1.19890i 0.200247 + 0.0623280i
\(371\) −16.6909 + 12.4839i −0.866550 + 0.648133i
\(372\) 7.51641 10.9046i 0.389708 0.565375i
\(373\) −20.6623 + 11.9294i −1.06985 + 0.617680i −0.928141 0.372228i \(-0.878594\pi\)
−0.141712 + 0.989908i \(0.545261\pi\)
\(374\) 19.1098 17.6407i 0.988142 0.912180i
\(375\) −2.75363 1.58981i −0.142197 0.0820975i
\(376\) −29.7035 11.9210i −1.53184 0.614779i
\(377\) 3.60716i 0.185778i
\(378\) −48.0791 8.90619i −2.47292 0.458085i
\(379\) −25.9215 −1.33150 −0.665748 0.746177i \(-0.731887\pi\)
−0.665748 + 0.746177i \(0.731887\pi\)
\(380\) −3.52190 0.282013i −0.180670 0.0144670i
\(381\) −14.9504 + 25.8948i −0.765930 + 1.32663i
\(382\) 26.9389 24.8681i 1.37832 1.27236i
\(383\) 16.8541 + 29.1922i 0.861205 + 1.49165i 0.870766 + 0.491697i \(0.163623\pi\)
−0.00956071 + 0.999954i \(0.503043\pi\)
\(384\) −18.5403 + 30.8276i −0.946130 + 1.57316i
\(385\) 2.52293 5.88488i 0.128580 0.299921i
\(386\) 2.98442 9.58832i 0.151903 0.488032i
\(387\) −4.95364 8.57995i −0.251807 0.436143i
\(388\) 0.213909 + 0.450049i 0.0108596 + 0.0228478i
\(389\) −29.0131 16.7507i −1.47102 0.849294i −0.471550 0.881839i \(-0.656305\pi\)
−0.999470 + 0.0325451i \(0.989639\pi\)
\(390\) −1.52204 6.74780i −0.0770713 0.341688i
\(391\) 49.6853 2.51269
\(392\) 19.5927 + 2.85064i 0.989581 + 0.143979i
\(393\) 59.8271 3.01788
\(394\) 0.191085 + 0.847159i 0.00962675 + 0.0426793i
\(395\) 1.75753 + 1.01471i 0.0884311 + 0.0510557i
\(396\) 31.0812 14.7730i 1.56189 0.742369i
\(397\) 2.24042 + 3.88052i 0.112443 + 0.194757i 0.916755 0.399450i \(-0.130799\pi\)
−0.804312 + 0.594208i \(0.797466\pi\)
\(398\) 3.75863 12.0757i 0.188403 0.605299i
\(399\) −5.85583 + 13.6591i −0.293158 + 0.683809i
\(400\) 1.42328 + 3.73822i 0.0711640 + 0.186911i
\(401\) −15.5291 26.8973i −0.775488 1.34318i −0.934520 0.355911i \(-0.884171\pi\)
0.159032 0.987273i \(-0.449163\pi\)
\(402\) −20.7008 + 19.1094i −1.03246 + 0.953092i
\(403\) 1.60189 2.77456i 0.0797960 0.138211i
\(404\) 1.55728 19.4480i 0.0774775 0.967572i
\(405\) −20.2222 −1.00485
\(406\) 8.62691 + 1.59805i 0.428147 + 0.0793101i
\(407\) 6.90332i 0.342185i
\(408\) 63.4227 + 25.4536i 3.13989 + 1.26014i
\(409\) −22.6647 13.0855i −1.12070 0.647034i −0.179117 0.983828i \(-0.557324\pi\)
−0.941579 + 0.336794i \(0.890658\pi\)
\(410\) 7.17379 6.62231i 0.354288 0.327053i
\(411\) 41.6059 24.0212i 2.05227 1.18488i
\(412\) 9.87849 + 6.80915i 0.486678 + 0.335463i
\(413\) 11.9897 8.96767i 0.589976 0.441270i
\(414\) 62.7741 + 19.5388i 3.08518 + 0.960280i
\(415\) 0.250215 0.144462i 0.0122826 0.00709134i
\(416\) −3.87541 + 7.79148i −0.190008 + 0.382009i
\(417\) −17.6776 + 30.6186i −0.865678 + 1.49940i
\(418\) −1.33034 5.89794i −0.0650691 0.288478i
\(419\) 3.71538i 0.181508i −0.995873 0.0907540i \(-0.971072\pi\)
0.995873 0.0907540i \(-0.0289277\pi\)
\(420\) 16.8124 0.650683i 0.820361 0.0317501i
\(421\) 9.89335i 0.482172i −0.970504 0.241086i \(-0.922496\pi\)
0.970504 0.241086i \(-0.0775037\pi\)
\(422\) −14.7276 + 3.32197i −0.716930 + 0.161711i
\(423\) −40.2283 + 69.6775i −1.95597 + 3.38784i
\(424\) 22.0581 3.15222i 1.07124 0.153085i
\(425\) 6.58087 3.79947i 0.319219 0.184301i
\(426\) −5.32144 + 17.0966i −0.257824 + 0.828335i
\(427\) −25.9344 + 3.08997i −1.25505 + 0.149534i
\(428\) −0.206269 0.142179i −0.00997039 0.00687250i
\(429\) 10.2513 5.91862i 0.494940 0.285753i
\(430\) 1.33666 + 1.44797i 0.0644594 + 0.0698273i
\(431\) −21.9155 12.6529i −1.05563 0.609471i −0.131413 0.991328i \(-0.541951\pi\)
−0.924222 + 0.381857i \(0.875285\pi\)
\(432\) 40.5340 + 33.0072i 1.95019 + 1.58806i
\(433\) 3.51643i 0.168989i 0.996424 + 0.0844944i \(0.0269275\pi\)
−0.996424 + 0.0844944i \(0.973073\pi\)
\(434\) 5.92599 + 5.06030i 0.284457 + 0.242902i
\(435\) 7.45579 0.357478
\(436\) 0.920326 + 0.0736943i 0.0440756 + 0.00352931i
\(437\) 5.77537 10.0032i 0.276273 0.478520i
\(438\) 9.62519 + 10.4267i 0.459909 + 0.498208i
\(439\) −4.56047 7.89896i −0.217659 0.376997i 0.736433 0.676511i \(-0.236509\pi\)
−0.954092 + 0.299514i \(0.903175\pi\)
\(440\) −5.38413 + 4.22668i −0.256678 + 0.201499i
\(441\) 14.0613 47.7424i 0.669584 2.27345i
\(442\) 15.7847 + 4.91308i 0.750801 + 0.233691i
\(443\) −1.72708 2.99140i −0.0820563 0.142126i 0.822077 0.569377i \(-0.192815\pi\)
−0.904133 + 0.427251i \(0.859482\pi\)
\(444\) −16.3835 + 7.78712i −0.777527 + 0.369561i
\(445\) 12.0399 + 6.95124i 0.570746 + 0.329520i
\(446\) −1.93497 + 0.436451i −0.0916233 + 0.0206666i
\(447\) −35.5402 −1.68099
\(448\) −16.9173 12.7203i −0.799266 0.600977i
\(449\) 10.3646 0.489133 0.244567 0.969632i \(-0.421354\pi\)
0.244567 + 0.969632i \(0.421354\pi\)
\(450\) 9.80864 2.21244i 0.462384 0.104295i
\(451\) 14.4687 + 8.35353i 0.681306 + 0.393352i
\(452\) −17.4321 + 8.28552i −0.819937 + 0.389718i
\(453\) 24.2011 + 41.9175i 1.13707 + 1.96946i
\(454\) −5.43272 1.69097i −0.254970 0.0793610i
\(455\) 4.04144 0.481521i 0.189465 0.0225740i
\(456\) 12.4968 9.81031i 0.585217 0.459410i
\(457\) 13.4566 + 23.3076i 0.629475 + 1.09028i 0.987657 + 0.156630i \(0.0500632\pi\)
−0.358183 + 0.933652i \(0.616603\pi\)
\(458\) −20.8505 22.5868i −0.974281 1.05541i
\(459\) 49.6525 86.0006i 2.31758 4.01417i
\(460\) −13.0352 1.04378i −0.607768 0.0486665i
\(461\) −9.19023 −0.428032 −0.214016 0.976830i \(-0.568654\pi\)
−0.214016 + 0.976830i \(0.568654\pi\)
\(462\) 9.61344 + 27.1393i 0.447258 + 1.26263i
\(463\) 10.8548i 0.504464i −0.967667 0.252232i \(-0.918835\pi\)
0.967667 0.252232i \(-0.0811645\pi\)
\(464\) −7.27308 5.92254i −0.337644 0.274947i
\(465\) 5.73485 + 3.31102i 0.265947 + 0.153545i
\(466\) −10.9208 11.8302i −0.505896 0.548024i
\(467\) 25.9792 14.9991i 1.20218 0.694077i 0.241137 0.970491i \(-0.422480\pi\)
0.961039 + 0.276414i \(0.0891463\pi\)
\(468\) 18.0108 + 12.4147i 0.832551 + 0.573870i
\(469\) −9.92825 13.2740i −0.458444 0.612937i
\(470\) 4.75604 15.2801i 0.219380 0.704821i
\(471\) 1.97070 1.13778i 0.0908051 0.0524263i
\(472\) −15.8452 + 2.26436i −0.729334 + 0.104225i
\(473\) −1.68609 + 2.92039i −0.0775265 + 0.134280i
\(474\) −8.90201 + 2.00794i −0.408883 + 0.0922277i
\(475\) 1.76659i 0.0810565i
\(476\) −18.7431 + 35.5742i −0.859090 + 1.63054i
\(477\) 56.0123i 2.56463i
\(478\) −8.01344 35.5269i −0.366526 1.62496i
\(479\) −4.67977 + 8.10560i −0.213824 + 0.370355i −0.952908 0.303259i \(-0.901925\pi\)
0.739084 + 0.673613i \(0.235259\pi\)
\(480\) −16.1045 8.01026i −0.735068 0.365616i
\(481\) −3.80022 + 2.19406i −0.173275 + 0.100041i
\(482\) 2.60484 + 0.810773i 0.118647 + 0.0369297i
\(483\) −21.6735 + 50.5547i −0.986177 + 2.30032i
\(484\) 8.46949 + 5.83794i 0.384977 + 0.265361i
\(485\) −0.215769 + 0.124575i −0.00979758 + 0.00565664i
\(486\) 26.0764 24.0718i 1.18285 1.09192i
\(487\) −14.9682 8.64189i −0.678273 0.391601i 0.120931 0.992661i \(-0.461412\pi\)
−0.799204 + 0.601060i \(0.794745\pi\)
\(488\) 25.9122 + 10.3994i 1.17299 + 0.470759i
\(489\) 5.65976i 0.255943i
\(490\) −0.638839 + 9.87886i −0.0288598 + 0.446281i
\(491\) −28.4313 −1.28309 −0.641543 0.767087i \(-0.721705\pi\)
−0.641543 + 0.767087i \(0.721705\pi\)
\(492\) −3.50415 + 43.7614i −0.157979 + 1.97291i
\(493\) −8.90924 + 15.4313i −0.401252 + 0.694989i
\(494\) 2.82395 2.60687i 0.127056 0.117289i
\(495\) 8.60334 + 14.9014i 0.386691 + 0.669769i
\(496\) −2.96419 7.78539i −0.133096 0.349575i
\(497\) −9.68301 4.15124i −0.434343 0.186209i
\(498\) −0.386110 + 1.24049i −0.0173020 + 0.0555877i
\(499\) 12.1835 + 21.1025i 0.545409 + 0.944676i 0.998581 + 0.0532527i \(0.0169589\pi\)
−0.453172 + 0.891423i \(0.649708\pi\)
\(500\) −1.80634 + 0.858559i −0.0807821 + 0.0383959i
\(501\) 15.6725 + 9.04850i 0.700194 + 0.404257i
\(502\) −4.04361 17.9270i −0.180475 0.800121i
\(503\) −22.0798 −0.984489 −0.492245 0.870457i \(-0.663823\pi\)
−0.492245 + 0.870457i \(0.663823\pi\)
\(504\) −37.6703 + 37.5749i −1.67797 + 1.67372i
\(505\) 9.75511 0.434097
\(506\) −4.92383 21.8293i −0.218891 0.970433i
\(507\) −29.2809 16.9054i −1.30041 0.750794i
\(508\) 8.07377 + 16.9866i 0.358215 + 0.753658i
\(509\) 7.47946 + 12.9548i 0.331521 + 0.574212i 0.982810 0.184618i \(-0.0591048\pi\)
−0.651289 + 0.758830i \(0.725771\pi\)
\(510\) −10.1550 + 32.6260i −0.449673 + 1.44470i
\(511\) −6.68596 + 5.00074i −0.295770 + 0.221220i
\(512\) 9.34690 + 20.6067i 0.413078 + 0.910695i
\(513\) −11.5431 19.9933i −0.509641 0.882724i
\(514\) 17.2917 15.9625i 0.762706 0.704074i
\(515\) −2.99947 + 5.19523i −0.132172 + 0.228929i
\(516\) −8.83287 0.707284i −0.388845 0.0311365i
\(517\) 27.3854 1.20441
\(518\) −3.56375 10.0607i −0.156582 0.442040i
\(519\) 60.2183i 2.64329i
\(520\) −4.03798 1.62057i −0.177077 0.0710668i
\(521\) 13.6812 + 7.89884i 0.599384 + 0.346055i 0.768799 0.639490i \(-0.220855\pi\)
−0.169415 + 0.985545i \(0.554188\pi\)
\(522\) −17.3246 + 15.9928i −0.758277 + 0.699986i
\(523\) 17.4282 10.0622i 0.762083 0.439989i −0.0679602 0.997688i \(-0.521649\pi\)
0.830043 + 0.557699i \(0.188316\pi\)
\(524\) 21.3570 30.9840i 0.932985 1.35354i
\(525\) 0.995275 + 8.35341i 0.0434374 + 0.364573i
\(526\) 9.28474 + 2.88993i 0.404834 + 0.126007i
\(527\) −13.7056 + 7.91296i −0.597027 + 0.344694i
\(528\) 4.89789 30.3874i 0.213153 1.32244i
\(529\) 9.87568 17.1052i 0.429377 0.743703i
\(530\) 2.45140 + 10.8681i 0.106482 + 0.472079i
\(531\) 40.2358i 1.74608i
\(532\) 4.98353 + 7.90870i 0.216064 + 0.342886i
\(533\) 10.6199i 0.459999i
\(534\) −60.9827 + 13.7553i −2.63898 + 0.595249i
\(535\) 0.0626308 0.108480i 0.00270776 0.00468999i
\(536\) 2.50690 + 17.5425i 0.108282 + 0.757719i
\(537\) −8.21532 + 4.74312i −0.354517 + 0.204681i
\(538\) −9.30021 + 29.8796i −0.400961 + 1.28820i
\(539\) −16.4662 + 3.98027i −0.709250 + 0.171442i
\(540\) −14.8333 + 21.5196i −0.638322 + 0.926056i
\(541\) 14.0280 8.09904i 0.603109 0.348205i −0.167155 0.985931i \(-0.553458\pi\)
0.770264 + 0.637726i \(0.220125\pi\)
\(542\) 10.1595 + 11.0055i 0.436387 + 0.472727i
\(543\) 41.2467 + 23.8138i 1.77007 + 1.02195i
\(544\) 35.8228 23.7598i 1.53589 1.01869i
\(545\) 0.461636i 0.0197743i
\(546\) −11.8846 + 13.9177i −0.508612 + 0.595624i
\(547\) −29.9614 −1.28106 −0.640529 0.767934i \(-0.721285\pi\)
−0.640529 + 0.767934i \(0.721285\pi\)
\(548\) 2.41203 30.1225i 0.103037 1.28677i
\(549\) 35.0936 60.7838i 1.49776 2.59419i
\(550\) −2.32147 2.51479i −0.0989879 0.107231i
\(551\) 2.07120 + 3.58743i 0.0882362 + 0.152830i
\(552\) 46.2530 36.3097i 1.96866 1.54544i
\(553\) −0.635244 5.33165i −0.0270133 0.226725i
\(554\) −25.7320 8.00924i −1.09325 0.340280i
\(555\) −4.53499 7.85484i −0.192500 0.333419i
\(556\) 9.54661 + 20.0853i 0.404866 + 0.851808i
\(557\) 36.5898 + 21.1251i 1.55036 + 0.895100i 0.998112 + 0.0614182i \(0.0195623\pi\)
0.552246 + 0.833681i \(0.313771\pi\)
\(558\) −20.4280 + 4.60773i −0.864784 + 0.195061i
\(559\) −2.14354 −0.0906621
\(560\) 5.66469 8.93931i 0.239377 0.377755i
\(561\) −58.4730 −2.46873
\(562\) 24.3188 5.48535i 1.02583 0.231386i
\(563\) 19.4740 + 11.2433i 0.820731 + 0.473849i 0.850669 0.525702i \(-0.176197\pi\)
−0.0299372 + 0.999552i \(0.509531\pi\)
\(564\) 30.8914 + 64.9932i 1.30076 + 2.73671i
\(565\) −4.82525 8.35757i −0.203000 0.351606i
\(566\) −0.757237 0.235695i −0.0318291 0.00990698i
\(567\) 32.0454 + 42.8445i 1.34578 + 1.79930i
\(568\) 6.95460 + 8.85908i 0.291808 + 0.371719i
\(569\) −15.7198 27.2275i −0.659008 1.14144i −0.980873 0.194650i \(-0.937643\pi\)
0.321864 0.946786i \(-0.395690\pi\)
\(570\) 5.38824 + 5.83695i 0.225689 + 0.244483i
\(571\) −4.27788 + 7.40950i −0.179024 + 0.310078i −0.941546 0.336883i \(-0.890627\pi\)
0.762523 + 0.646961i \(0.223961\pi\)
\(572\) 0.594304 7.42192i 0.0248491 0.310326i
\(573\) −82.4291 −3.44353
\(574\) −25.3987 4.70486i −1.06012 0.196377i
\(575\) 6.53845i 0.272672i
\(576\) 54.6034 15.9315i 2.27514 0.663814i
\(577\) 35.0221 + 20.2200i 1.45799 + 0.841771i 0.998912 0.0466251i \(-0.0148466\pi\)
0.459078 + 0.888396i \(0.348180\pi\)
\(578\) −39.0840 42.3387i −1.62568 1.76106i
\(579\) −19.5530 + 11.2889i −0.812595 + 0.469152i
\(580\) 2.66156 3.86130i 0.110515 0.160332i
\(581\) −0.702576 0.301204i −0.0291478 0.0124960i
\(582\) 0.332957 1.06972i 0.0138015 0.0443413i
\(583\) −16.5109 + 9.53258i −0.683812 + 0.394799i
\(584\) 8.83593 1.26270i 0.365633 0.0522508i
\(585\) −5.46874 + 9.47214i −0.226105 + 0.391625i
\(586\) −32.8357 + 7.40642i −1.35643 + 0.305956i
\(587\) 46.5032i 1.91939i −0.281038 0.959697i \(-0.590679\pi\)
0.281038 0.959697i \(-0.409321\pi\)
\(588\) −28.0206 34.5891i −1.15555 1.42643i
\(589\) 3.67918i 0.151598i
\(590\) −1.76094 7.80695i −0.0724966 0.321407i
\(591\) 0.976274 1.69096i 0.0401586 0.0695567i
\(592\) −1.81567 + 11.2648i −0.0746237 + 0.462978i
\(593\) 5.42655 3.13302i 0.222842 0.128658i −0.384424 0.923157i \(-0.625600\pi\)
0.607265 + 0.794499i \(0.292267\pi\)
\(594\) −42.7052 13.2922i −1.75221 0.545387i
\(595\) −18.4784 7.92193i −0.757539 0.324767i
\(596\) −12.6871 + 18.4060i −0.519684 + 0.753940i
\(597\) −24.6253 + 14.2175i −1.00785 + 0.581882i
\(598\) 10.4520 9.64849i 0.427413 0.394556i
\(599\) 35.7470 + 20.6385i 1.46058 + 0.843268i 0.999038 0.0438493i \(-0.0139621\pi\)
0.461544 + 0.887117i \(0.347295\pi\)
\(600\) 3.34963 8.34626i 0.136748 0.340735i
\(601\) 18.4478i 0.752502i 0.926518 + 0.376251i \(0.122787\pi\)
−0.926518 + 0.376251i \(0.877213\pi\)
\(602\) 0.949637 5.12651i 0.0387043 0.208941i
\(603\) 44.5457 1.81404
\(604\) 30.3481 + 2.43010i 1.23485 + 0.0988792i
\(605\) −2.57165 + 4.45422i −0.104552 + 0.181090i
\(606\) −32.2317 + 29.7539i −1.30932 + 1.20867i
\(607\) −3.76477 6.52077i −0.152807 0.264670i 0.779451 0.626463i \(-0.215498\pi\)
−0.932258 + 0.361793i \(0.882165\pi\)
\(608\) −0.619591 9.97409i −0.0251277 0.404503i
\(609\) −11.8149 15.7965i −0.478765 0.640106i
\(610\) −4.14897 + 13.3298i −0.167987 + 0.539707i
\(611\) 8.70382 + 15.0755i 0.352119 + 0.609888i
\(612\) −46.3867 97.5940i −1.87507 3.94500i
\(613\) −15.3991 8.89067i −0.621963 0.359091i 0.155670 0.987809i \(-0.450246\pi\)
−0.777633 + 0.628719i \(0.783580\pi\)
\(614\) 2.90063 + 12.8597i 0.117060 + 0.518974i
\(615\) −21.9507 −0.885138
\(616\) 17.4871 + 4.70943i 0.704573 + 0.189748i
\(617\) −25.4606 −1.02500 −0.512502 0.858686i \(-0.671281\pi\)
−0.512502 + 0.858686i \(0.671281\pi\)
\(618\) −5.93542 26.3141i −0.238758 1.05851i
\(619\) 1.54568 + 0.892398i 0.0621261 + 0.0358685i 0.530741 0.847534i \(-0.321914\pi\)
−0.468615 + 0.883402i \(0.655247\pi\)
\(620\) 3.76198 1.78808i 0.151085 0.0718109i
\(621\) −42.7231 73.9987i −1.71442 2.96946i
\(622\) −2.29699 + 7.37974i −0.0921009 + 0.295901i
\(623\) −4.35170 36.5242i −0.174347 1.46331i
\(624\) 18.2847 6.96168i 0.731974 0.278690i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 23.9883 22.1442i 0.958765 0.885061i
\(627\) −6.79685 + 11.7725i −0.271440 + 0.470148i
\(628\) 0.114248 1.42678i 0.00455899 0.0569346i
\(629\) 21.6762 0.864288
\(630\) −20.2309 17.2755i −0.806018 0.688271i
\(631\) 25.2033i 1.00333i −0.865063 0.501663i \(-0.832722\pi\)
0.865063 0.501663i \(-0.167278\pi\)
\(632\) −2.13793 + 5.32708i −0.0850424 + 0.211900i
\(633\) 29.3968 + 16.9723i 1.16842 + 0.674587i
\(634\) −31.4559 + 29.0378i −1.24927 + 1.15324i
\(635\) −8.14398 + 4.70193i −0.323184 + 0.186590i
\(636\) −41.2482 28.4320i −1.63560 1.12740i
\(637\) −7.42451 7.79949i −0.294170 0.309027i
\(638\) 7.66267 + 2.38505i 0.303368 + 0.0944251i
\(639\) 24.5189 14.1560i 0.969952 0.560002i
\(640\) −9.89744 + 5.48094i −0.391231 + 0.216653i
\(641\) 1.24626 2.15858i 0.0492242 0.0852587i −0.840363 0.542023i \(-0.817658\pi\)
0.889588 + 0.456765i \(0.150992\pi\)
\(642\) 0.123935 + 0.549456i 0.00489134 + 0.0216853i
\(643\) 39.1121i 1.54243i −0.636575 0.771215i \(-0.719650\pi\)
0.636575 0.771215i \(-0.280350\pi\)
\(644\) 18.4450 + 29.2715i 0.726833 + 1.15346i
\(645\) 4.43057i 0.174454i
\(646\) −18.5194 + 4.17724i −0.728635 + 0.164351i
\(647\) 7.69474 13.3277i 0.302512 0.523965i −0.674193 0.738556i \(-0.735508\pi\)
0.976704 + 0.214590i \(0.0688416\pi\)
\(648\) −8.09153 56.6217i −0.317865 2.22431i
\(649\) 11.8604 6.84761i 0.465562 0.268792i
\(650\) 0.646548 2.07722i 0.0253597 0.0814754i
\(651\) −2.07281 17.3972i −0.0812398 0.681851i
\(652\) 2.93115 + 2.02042i 0.114793 + 0.0791256i
\(653\) 1.33623 0.771475i 0.0522909 0.0301902i −0.473627 0.880726i \(-0.657055\pi\)
0.525918 + 0.850536i \(0.323722\pi\)
\(654\) −1.40803 1.52528i −0.0550583 0.0596433i
\(655\) 16.2949 + 9.40788i 0.636696 + 0.367596i
\(656\) 21.4128 + 17.4367i 0.836030 + 0.680788i
\(657\) 22.4371i 0.875355i
\(658\) −39.9106 + 14.1374i −1.55588 + 0.551132i
\(659\) 23.4292 0.912670 0.456335 0.889808i \(-0.349162\pi\)
0.456335 + 0.889808i \(0.349162\pi\)
\(660\) 15.3407 + 1.22839i 0.597135 + 0.0478151i
\(661\) −10.1419 + 17.5663i −0.394474 + 0.683249i −0.993034 0.117829i \(-0.962407\pi\)
0.598560 + 0.801078i \(0.295740\pi\)
\(662\) −0.502999 0.544887i −0.0195496 0.0211776i
\(663\) −18.5843 32.1889i −0.721754 1.25011i
\(664\) 0.504609 + 0.642793i 0.0195826 + 0.0249452i
\(665\) −3.74284 + 2.79945i −0.145141 + 0.108558i
\(666\) 27.3865 + 8.52421i 1.06120 + 0.330306i
\(667\) 7.66589 + 13.2777i 0.296825 + 0.514115i
\(668\) 10.2809 4.88654i 0.397780 0.189066i
\(669\) 3.86225 + 2.22987i 0.149323 + 0.0862119i
\(670\) −8.64320 + 1.94956i −0.333916 + 0.0753181i
\(671\) −23.8899 −0.922259
\(672\) 8.54907 + 46.8140i 0.329787 + 1.80589i
\(673\) −14.3296 −0.552364 −0.276182 0.961105i \(-0.589069\pi\)
−0.276182 + 0.961105i \(0.589069\pi\)
\(674\) 4.71315 1.06310i 0.181544 0.0409491i
\(675\) −11.3175 6.53414i −0.435609 0.251499i
\(676\) −19.2079 + 9.12955i −0.738764 + 0.351136i
\(677\) 9.11144 + 15.7815i 0.350181 + 0.606531i 0.986281 0.165075i \(-0.0527868\pi\)
−0.636100 + 0.771607i \(0.719453\pi\)
\(678\) 41.4344 + 12.8967i 1.59128 + 0.495295i
\(679\) 0.605857 + 0.259739i 0.0232506 + 0.00996787i
\(680\) 13.2717 + 16.9060i 0.508945 + 0.648317i
\(681\) 6.39628 + 11.0787i 0.245106 + 0.424536i
\(682\) 4.83481 + 5.23743i 0.185135 + 0.200552i
\(683\) 11.4579 19.8456i 0.438422 0.759370i −0.559146 0.829069i \(-0.688871\pi\)
0.997568 + 0.0696995i \(0.0222041\pi\)
\(684\) −25.0407 2.00511i −0.957456 0.0766675i
\(685\) 15.1095 0.577302
\(686\) 21.9426 14.3012i 0.837771 0.546022i
\(687\) 69.1124i 2.63680i
\(688\) −3.51945 + 4.32200i −0.134178 + 0.164775i
\(689\) −10.4952 6.05942i −0.399836 0.230846i
\(690\) 19.9429 + 21.6036i 0.759212 + 0.822435i
\(691\) 14.4278 8.32990i 0.548860 0.316884i −0.199802 0.979836i \(-0.564030\pi\)
0.748662 + 0.662952i \(0.230697\pi\)
\(692\) −31.1867 21.4967i −1.18554 0.817181i
\(693\) 17.9380 41.8415i 0.681410 1.58943i
\(694\) −3.90326 + 12.5403i −0.148166 + 0.476025i
\(695\) −9.62962 + 5.55967i −0.365272 + 0.210890i
\(696\) 2.98329 + 20.8761i 0.113081 + 0.791305i
\(697\) 26.2299 45.4314i 0.993526 1.72084i
\(698\) 25.7561 5.80955i 0.974882 0.219895i
\(699\) 36.1987i 1.36916i
\(700\) 4.68147 + 2.46655i 0.176943 + 0.0932267i
\(701\) 3.87396i 0.146317i 0.997320 + 0.0731587i \(0.0233080\pi\)
−0.997320 + 0.0731587i \(0.976692\pi\)
\(702\) −6.25558 27.7335i −0.236101 1.04673i
\(703\) 2.51962 4.36412i 0.0950294 0.164596i
\(704\) −13.9890 13.3842i −0.527229 0.504438i
\(705\) −31.1601 + 17.9903i −1.17356 + 0.677553i
\(706\) 18.2516 + 5.68093i 0.686909 + 0.213804i
\(707\) −15.4586 20.6680i −0.581380 0.777301i
\(708\) 29.6302 + 20.4238i 1.11357 + 0.767573i
\(709\) −24.1848 + 13.9631i −0.908281 + 0.524396i −0.879878 0.475200i \(-0.842376\pi\)
−0.0284031 + 0.999597i \(0.509042\pi\)
\(710\) −4.13786 + 3.81976i −0.155291 + 0.143353i
\(711\) 12.4961 + 7.21462i 0.468640 + 0.270569i
\(712\) −14.6458 + 36.4929i −0.548874 + 1.36763i
\(713\) 13.6173i 0.509972i
\(714\) 85.2166 30.1859i 3.18915 1.12968i
\(715\) 3.72284 0.139226
\(716\) −0.476269 + 5.94786i −0.0177990 + 0.222282i
\(717\) −40.9415 + 70.9127i −1.52899 + 2.64828i
\(718\) −27.3896 + 25.2841i −1.02217 + 0.943593i
\(719\) 8.27114 + 14.3260i 0.308461 + 0.534271i 0.978026 0.208483i \(-0.0668526\pi\)
−0.669565 + 0.742754i \(0.733519\pi\)
\(720\) 10.1195 + 26.5788i 0.377133 + 0.990532i
\(721\) 15.7602 1.87777i 0.586942 0.0699317i
\(722\) 6.67392 21.4419i 0.248378 0.797985i
\(723\) −3.06684 5.31193i −0.114057 0.197553i
\(724\) 27.0572 12.8604i 1.00557 0.477952i
\(725\) 2.03071 + 1.17243i 0.0754188 + 0.0435430i
\(726\) −5.08883 22.5609i −0.188864 0.837312i
\(727\) 6.76375 0.250854 0.125427 0.992103i \(-0.459970\pi\)
0.125427 + 0.992103i \(0.459970\pi\)
\(728\) 2.96535 + 11.1233i 0.109903 + 0.412256i
\(729\) −19.1232 −0.708268
\(730\) 0.981970 + 4.35347i 0.0363444 + 0.161129i
\(731\) 9.16996 + 5.29428i 0.339163 + 0.195816i
\(732\) −26.9484 56.6974i −0.996043 2.09560i
\(733\) 17.1394 + 29.6863i 0.633059 + 1.09649i 0.986923 + 0.161193i \(0.0515341\pi\)
−0.353864 + 0.935297i \(0.615133\pi\)
\(734\) −14.9473 + 48.0224i −0.551713 + 1.77254i
\(735\) 16.1211 15.3460i 0.594635 0.566047i
\(736\) −2.29322 36.9159i −0.0845291 1.36074i
\(737\) −7.58110 13.1309i −0.279253 0.483681i
\(738\) 51.0057 47.0847i 1.87754 1.73321i
\(739\) −19.2212 + 33.2921i −0.707063 + 1.22467i 0.258879 + 0.965910i \(0.416647\pi\)
−0.965942 + 0.258759i \(0.916687\pi\)
\(740\) −5.68687 0.455371i −0.209053 0.0167398i
\(741\) −8.64088 −0.317431
\(742\) 19.1414 22.4160i 0.702703 0.822918i
\(743\) 30.1845i 1.10736i 0.832729 + 0.553681i \(0.186777\pi\)
−0.832729 + 0.553681i \(0.813223\pi\)
\(744\) −6.97610 + 17.3823i −0.255756 + 0.637267i
\(745\) −9.67998 5.58874i −0.354647 0.204755i
\(746\) 24.7927 22.8868i 0.907725 0.837945i
\(747\) 1.77903 1.02712i 0.0650913 0.0375805i
\(748\) −20.8736 + 30.2828i −0.763216 + 1.10725i
\(749\) −0.329083 + 0.0392089i −0.0120244 + 0.00143266i
\(750\) 4.29350 + 1.33638i 0.156776 + 0.0487976i
\(751\) −26.8007 + 15.4734i −0.977972 + 0.564632i −0.901657 0.432451i \(-0.857649\pi\)
−0.0763147 + 0.997084i \(0.524315\pi\)
\(752\) 44.6872 + 7.20275i 1.62957 + 0.262657i
\(753\) −20.6592 + 35.7828i −0.752864 + 1.30400i
\(754\) 1.12245 + 4.97627i 0.0408772 + 0.181225i
\(755\) 15.2226i 0.554008i
\(756\) 69.0991 2.67431i 2.51311 0.0972638i
\(757\) 32.7932i 1.19189i −0.803025 0.595945i \(-0.796777\pi\)
0.803025 0.595945i \(-0.203223\pi\)
\(758\) 35.7601 8.06605i 1.29886 0.292972i
\(759\) −25.1563 + 43.5721i −0.913117 + 1.58157i
\(760\) 4.94641 0.706866i 0.179425 0.0256407i
\(761\) −11.1966 + 6.46436i −0.405876 + 0.234333i −0.689016 0.724746i \(-0.741957\pi\)
0.283140 + 0.959079i \(0.408624\pi\)
\(762\) 12.5671 40.3754i 0.455258 1.46265i
\(763\) 0.978062 0.731538i 0.0354082 0.0264835i
\(764\) −29.4255 + 42.6895i −1.06458 + 1.54445i
\(765\) 46.7900 27.0142i 1.69170 0.976702i
\(766\) −32.3350 35.0277i −1.16831 1.26560i
\(767\) 7.53912 + 4.35271i 0.272222 + 0.157167i
\(768\) 15.9846 48.2975i 0.576796 1.74279i
\(769\) 1.25520i 0.0452635i −0.999744 0.0226318i \(-0.992795\pi\)
0.999744 0.0226318i \(-0.00720453\pi\)
\(770\) −1.64930 + 8.90358i −0.0594368 + 0.320863i
\(771\) −52.9102 −1.90551
\(772\) −1.13355 + 14.1563i −0.0407974 + 0.509496i
\(773\) 11.0046 19.0605i 0.395808 0.685559i −0.597396 0.801946i \(-0.703798\pi\)
0.993204 + 0.116387i \(0.0371313\pi\)