Properties

Label 280.2.bj.f.131.9
Level $280$
Weight $2$
Character 280.131
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 131.9
Character \(\chi\) \(=\) 280.131
Dual form 280.2.bj.f.171.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.959261 + 1.03914i) q^{2} +(2.75363 - 1.58981i) q^{3} +(-0.159637 + 1.99362i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(4.29350 + 1.33638i) q^{6} +(-1.04250 - 2.43170i) q^{7} +(-2.22479 + 1.74651i) q^{8} +(3.55500 - 6.15745i) q^{9} +O(q^{10})\) \(q+(0.959261 + 1.03914i) q^{2} +(2.75363 - 1.58981i) q^{3} +(-0.159637 + 1.99362i) 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} +(-1.37955 + 0.311173i) q^{10} +(1.21003 + 2.09584i) q^{11} +(2.72990 + 5.74349i) q^{12} -1.53832 q^{13} +(1.52685 - 3.41595i) q^{14} +3.17962i q^{15} +(-3.94903 - 0.636512i) q^{16} +(-6.58087 + 3.79947i) q^{17} +(9.80864 - 2.21244i) 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} +(-3.34963 + 8.34626i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-1.47565 - 1.59854i) q^{26} -13.0683i q^{27} +(5.01431 - 1.69017i) q^{28} -2.34486i q^{29} +(-3.30408 + 3.05009i) q^{30} +(-1.04132 - 1.80363i) q^{31} +(-3.12672 - 4.71419i) 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} +(-0.549713 - 2.43710i) q^{38} +(-4.23598 + 2.44564i) q^{39} +(-0.400131 - 2.79998i) q^{40} -6.90356i q^{41} +(-1.22632 - 11.8337i) q^{42} -1.39343 q^{43} +(-4.37147 + 2.07777i) q^{44} +(3.55500 + 6.15745i) q^{45} +(2.03459 + 9.02015i) 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} +(0.245574 - 3.06683i) q^{52} +(6.82251 - 3.93898i) q^{53} +(13.5798 - 12.5359i) q^{54} -2.42006 q^{55} +(6.56636 + 3.58928i) q^{56} -5.61708 q^{57} +(2.43665 - 2.24934i) q^{58} +(4.90087 - 2.82952i) q^{59} +(-6.33896 - 0.507586i) 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} +(2.39444 + 10.6155i) q^{66} +(3.13260 + 5.42583i) q^{67} +(-6.52414 - 13.7263i) q^{68} +20.7898 q^{69} +(2.19487 + 3.03027i) q^{70} -3.98199i q^{71} +(2.84494 + 19.9079i) q^{72} +(-2.73292 + 1.57785i) q^{73} +(0.887631 + 3.93523i) 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} +(2.52575 - 3.10171i) q^{80} +(-10.1111 - 17.5129i) q^{81} +(7.17379 - 6.62231i) q^{82} +0.288923i q^{83} +(11.1205 - 12.6259i) q^{84} -7.59894i q^{85} +(-1.33666 - 1.44797i) q^{86} +(-3.72789 - 6.45690i) q^{87} +(-6.35248 - 2.54946i) 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} +(-15.6110 + 3.52122i) q^{94} +(1.52991 - 0.883293i) q^{95} +(-16.1045 - 8.01026i) q^{96} -0.249149i q^{97} +(-9.89833 - 0.151716i) q^{98} +17.2067 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q + 3q^{2} + 12q^{3} + q^{4} - 12q^{5} - 2q^{6} + 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 10q^{12} + 20q^{13} + 5q^{14} - 3q^{16} + 6q^{17} + 3q^{18} + 18q^{19} - 2q^{20} - 26q^{21} - 16q^{22} + 18q^{23} - 18q^{24} - 12q^{25} - 37q^{26} - 41q^{28} - 8q^{30} - 6q^{31} + 3q^{32} + 12q^{33} - 20q^{34} - 8q^{35} - 22q^{36} + 15q^{38} - 18q^{39} + 3q^{40} - 12q^{42} + 32q^{43} + 35q^{44} + 12q^{45} - 49q^{46} - 14q^{48} + 8q^{49} - 22q^{51} - 41q^{52} + 30q^{53} + 104q^{54} - 16q^{55} + 44q^{56} - 44q^{57} - 54q^{58} - 18q^{59} - 8q^{60} + 22q^{61} + 8q^{62} - 12q^{63} + 58q^{64} - 10q^{65} + 8q^{66} - 8q^{67} + 18q^{68} - 12q^{69} - q^{70} - 17q^{72} + 30q^{73} + 53q^{74} - 12q^{75} + 8q^{76} - 32q^{77} - 8q^{78} + 6q^{79} - 3q^{80} - 4q^{81} - 57q^{82} + 42q^{86} + 14q^{87} - 17q^{88} - 60q^{89} + 24q^{90} + 18q^{91} - 38q^{92} - 18q^{93} + 19q^{94} - 18q^{95} - 74q^{96} + 3q^{98} - 56q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.959261 + 1.03914i 0.678300 + 0.734785i
\(3\) 2.75363 1.58981i 1.58981 0.917878i 0.596475 0.802632i \(-0.296568\pi\)
0.993337 0.115247i \(-0.0367658\pi\)
\(4\) −0.159637 + 1.99362i −0.0798186 + 0.996809i
\(5\) −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
\(10\) −1.37955 + 0.311173i −0.436254 + 0.0984014i
\(11\) 1.21003 + 2.09584i 0.364838 + 0.631919i 0.988750 0.149576i \(-0.0477909\pi\)
−0.623912 + 0.781495i \(0.714458\pi\)
\(12\) 2.72990 + 5.74349i 0.788053 + 1.65800i
\(13\) −1.53832 −0.426654 −0.213327 0.976981i \(-0.568430\pi\)
−0.213327 + 0.976981i \(0.568430\pi\)
\(14\) 1.52685 3.41595i 0.408069 0.912951i
\(15\) 3.17962i 0.820975i
\(16\) −3.94903 0.636512i −0.987258 0.159128i
\(17\) −6.58087 + 3.79947i −1.59610 + 0.921506i −0.603866 + 0.797086i \(0.706374\pi\)
−0.992230 + 0.124421i \(0.960293\pi\)
\(18\) 9.80864 2.21244i 2.31192 0.521477i
\(19\) −1.52991 0.883293i −0.350985 0.202641i 0.314134 0.949379i \(-0.398286\pi\)
−0.665119 + 0.746737i \(0.731619\pi\)
\(20\) −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 \(-0.0945826\pi\)
0.224528 + 0.974468i \(0.427916\pi\)
\(24\) −3.34963 + 8.34626i −0.683740 + 1.70367i
\(25\) −0.500000 0.866025i −0.100000 0.173205i
\(26\) −1.47565 1.59854i −0.289399 0.313499i
\(27\) 13.0683i 2.51499i
\(28\) 5.01431 1.69017i 0.947616 0.319411i
\(29\) 2.34486i 0.435430i −0.976012 0.217715i \(-0.930140\pi\)
0.976012 0.217715i \(-0.0698604\pi\)
\(30\) −3.30408 + 3.05009i −0.603241 + 0.556867i
\(31\) −1.04132 1.80363i −0.187027 0.323941i 0.757230 0.653148i \(-0.226552\pi\)
−0.944258 + 0.329207i \(0.893219\pi\)
\(32\) −3.12672 4.71419i −0.552732 0.833359i
\(33\) 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 \(-0.257996\pi\)
−0.282998 + 0.959121i \(0.591329\pi\)
\(38\) −0.549713 2.43710i −0.0891753 0.395350i
\(39\) −4.23598 + 2.44564i −0.678300 + 0.391617i
\(40\) −0.400131 2.79998i −0.0632663 0.442716i
\(41\) 6.90356i 1.07815i −0.842256 0.539077i \(-0.818773\pi\)
0.842256 0.539077i \(-0.181227\pi\)
\(42\) −1.22632 11.8337i −0.189225 1.82598i
\(43\) −1.39343 −0.212496 −0.106248 0.994340i \(-0.533884\pi\)
−0.106248 + 0.994340i \(0.533884\pi\)
\(44\) −4.37147 + 2.07777i −0.659023 + 0.313235i
\(45\) 3.55500 + 6.15745i 0.529949 + 0.917898i
\(46\) 2.03459 + 9.02015i 0.299984 + 1.32995i
\(47\) −5.65799 + 9.79993i −0.825303 + 1.42947i 0.0763851 + 0.997078i \(0.475662\pi\)
−0.901688 + 0.432388i \(0.857671\pi\)
\(48\) −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
\(52\) 0.245574 3.06683i 0.0340549 0.425293i
\(53\) 6.82251 3.93898i 0.937144 0.541060i 0.0480800 0.998843i \(-0.484690\pi\)
0.889064 + 0.457783i \(0.151356\pi\)
\(54\) 13.5798 12.5359i 1.84798 1.70592i
\(55\) −2.42006 −0.326321
\(56\) 6.56636 + 3.58928i 0.877467 + 0.479638i
\(57\) −5.61708 −0.744000
\(58\) 2.43665 2.24934i 0.319948 0.295352i
\(59\) 4.90087 2.82952i 0.638038 0.368372i −0.145820 0.989311i \(-0.546582\pi\)
0.783859 + 0.620939i \(0.213249\pi\)
\(60\) −6.33896 0.507586i −0.818356 0.0655291i
\(61\) 4.93580 8.54905i 0.631964 1.09459i −0.355186 0.934796i \(-0.615582\pi\)
0.987150 0.159798i \(-0.0510844\pi\)
\(62\) 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
\(66\) 2.39444 + 10.6155i 0.294735 + 1.30668i
\(67\) 3.13260 + 5.42583i 0.382708 + 0.662870i 0.991448 0.130499i \(-0.0416581\pi\)
−0.608740 + 0.793370i \(0.708325\pi\)
\(68\) −6.52414 13.7263i −0.791168 1.66456i
\(69\) 20.7898 2.50280
\(70\) 2.19487 + 3.03027i 0.262337 + 0.362187i
\(71\) 3.98199i 0.472575i −0.971683 0.236287i \(-0.924069\pi\)
0.971683 0.236287i \(-0.0759307\pi\)
\(72\) 2.84494 + 19.9079i 0.335279 + 2.34617i
\(73\) −2.73292 + 1.57785i −0.319865 + 0.184674i −0.651332 0.758793i \(-0.725790\pi\)
0.331468 + 0.943467i \(0.392456\pi\)
\(74\) 0.887631 + 3.93523i 0.103185 + 0.457461i
\(75\) −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 \(-0.369752\pi\)
−0.595600 + 0.803281i \(0.703086\pi\)
\(80\) 2.52575 3.10171i 0.282388 0.346781i
\(81\) −10.1111 17.5129i −1.12345 1.94588i
\(82\) 7.17379 6.62231i 0.792212 0.731312i
\(83\) 0.288923i 0.0317134i 0.999874 + 0.0158567i \(0.00504756\pi\)
−0.999874 + 0.0158567i \(0.994952\pi\)
\(84\) 11.1205 12.6259i 1.21335 1.37760i
\(85\) 7.59894i 0.824220i
\(86\) −1.33666 1.44797i −0.144136 0.156139i
\(87\) −3.72789 6.45690i −0.399672 0.692252i
\(88\) −6.35248 2.54946i −0.677176 0.271773i
\(89\) 12.0399 + 6.95124i 1.27623 + 0.736830i 0.976152 0.217086i \(-0.0696553\pi\)
0.300074 + 0.953916i \(0.402989\pi\)
\(90\) −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
\(94\) −15.6110 + 3.52122i −1.61015 + 0.363186i
\(95\) 1.52991 0.883293i 0.156965 0.0906240i
\(96\) −16.1045 8.01026i −1.64366 0.817543i
\(97\) 0.249149i 0.0252972i −0.999920 0.0126486i \(-0.995974\pi\)
0.999920 0.0126486i \(-0.00402629\pi\)
\(98\) −9.89833 0.151716i −0.999883 0.0153256i
\(99\) 17.2067 1.72934
\(100\) 1.80634 0.858559i 0.180634 0.0858559i
\(101\) −4.87755 8.44817i −0.485335 0.840624i 0.514523 0.857476i \(-0.327969\pi\)
−0.999858 + 0.0168520i \(0.994636\pi\)
\(102\) −33.3325 + 7.51848i −3.30041 + 0.744440i
\(103\) −2.99947 + 5.19523i −0.295546 + 0.511902i −0.975112 0.221713i \(-0.928835\pi\)
0.679565 + 0.733615i \(0.262168\pi\)
\(104\) 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 −0.869037 0.494747i \(-0.835261\pi\)
0.862982 + 0.505234i \(0.168594\pi\)
\(108\) 26.0532 + 2.08618i 2.50697 + 0.200743i
\(109\) −0.399788 + 0.230818i −0.0382928 + 0.0221083i −0.519024 0.854760i \(-0.673705\pi\)
0.480731 + 0.876868i \(0.340371\pi\)
\(110\) −2.32147 2.51479i −0.221344 0.239776i
\(111\) 9.06999 0.860885
\(112\) 2.56908 + 10.2664i 0.242755 + 0.970088i
\(113\) −9.65049 −0.907842 −0.453921 0.891042i \(-0.649975\pi\)
−0.453921 + 0.891042i \(0.649975\pi\)
\(114\) −5.38824 5.83695i −0.504655 0.546680i
\(115\) −5.66247 + 3.26923i −0.528028 + 0.304857i
\(116\) 4.67477 + 0.374328i 0.434041 + 0.0347555i
\(117\) −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
\(122\) 13.6184 3.07177i 1.23295 0.278105i
\(123\) −10.9754 19.0099i −0.989615 1.71406i
\(124\) 3.76198 1.78808i 0.337836 0.160574i
\(125\) 1.00000 0.0894427
\(126\) −15.6056 21.5452i −1.39025 1.91940i
\(127\) 9.40385i 0.834457i 0.908802 + 0.417229i \(0.136999\pi\)
−0.908802 + 0.417229i \(0.863001\pi\)
\(128\) 9.89744 5.48094i 0.874818 0.484451i
\(129\) −3.83699 + 2.21529i −0.337828 + 0.195045i
\(130\) 2.12220 0.478684i 0.186129 0.0419834i
\(131\) 16.2949 + 9.40788i 1.42369 + 0.821970i 0.996612 0.0822423i \(-0.0262081\pi\)
0.427082 + 0.904213i \(0.359541\pi\)
\(132\) −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
\(136\) 8.00523 19.9466i 0.686443 1.71041i
\(137\) 7.55473 + 13.0852i 0.645444 + 1.11794i 0.984199 + 0.177067i \(0.0566609\pi\)
−0.338755 + 0.940875i \(0.610006\pi\)
\(138\) 19.9429 + 21.6036i 1.69765 + 1.83902i
\(139\) 11.1193i 0.943129i −0.881831 0.471565i \(-0.843689\pi\)
0.881831 0.471565i \(-0.156311\pi\)
\(140\) −1.04343 + 5.18761i −0.0881859 + 0.438433i
\(141\) 35.9806i 3.03011i
\(142\) 4.13786 3.81976i 0.347241 0.320548i
\(143\) −1.86142 3.22407i −0.155660 0.269611i
\(144\) −17.9581 + 22.0532i −1.49651 + 1.83776i
\(145\) 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 \(-0.181954\pi\)
−0.0480082 + 0.998847i \(0.515287\pi\)
\(150\) −0.989412 4.38647i −0.0807851 0.358153i
\(151\) −13.1832 + 7.61131i −1.07283 + 0.619399i −0.928954 0.370196i \(-0.879290\pi\)
−0.143878 + 0.989595i \(0.545957\pi\)
\(152\) 4.94641 0.706866i 0.401207 0.0573344i
\(153\) 54.0285i 4.36794i
\(154\) 9.00682 0.933370i 0.725790 0.0752131i
\(155\) 2.08265 0.167282
\(156\) −4.19946 8.83535i −0.336226 0.707394i
\(157\) −0.357836 0.619791i −0.0285584 0.0494647i 0.851393 0.524528i \(-0.175758\pi\)
−0.879951 + 0.475064i \(0.842425\pi\)
\(158\) −0.631502 2.79970i −0.0502396 0.222733i
\(159\) 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 −0.829063 0.559155i \(-0.811126\pi\)
0.898774 + 0.438413i \(0.144459\pi\)
\(164\) 13.7631 + 1.10207i 1.07471 + 0.0860568i
\(165\) −6.66397 + 3.84745i −0.518790 + 0.299523i
\(166\) −0.300233 + 0.277153i −0.0233026 + 0.0215112i
\(167\) −5.69155 −0.440426 −0.220213 0.975452i \(-0.570675\pi\)
−0.220213 + 0.975452i \(0.570675\pi\)
\(168\) 23.7876 0.555710i 1.83526 0.0428739i
\(169\) −10.6336 −0.817966
\(170\) 7.89638 7.28936i 0.605625 0.559069i
\(171\) −10.8777 + 6.28022i −0.831835 + 0.480260i
\(172\) 0.222443 2.77796i 0.0169611 0.211818i
\(173\) 9.46941 16.4015i 0.719946 1.24698i −0.241075 0.970506i \(-0.577500\pi\)
0.961021 0.276476i \(-0.0891666\pi\)
\(174\) 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
\(178\) 4.32607 + 19.1792i 0.324253 + 1.43754i
\(179\) −1.49172 2.58374i −0.111497 0.193118i 0.804877 0.593441i \(-0.202231\pi\)
−0.916374 + 0.400323i \(0.868898\pi\)
\(180\) −12.8431 + 6.10436i −0.957269 + 0.454992i
\(181\) −14.9790 −1.11338 −0.556691 0.830720i \(-0.687929\pi\)
−0.556691 + 0.830720i \(0.687929\pi\)
\(182\) −2.34880 + 5.25483i −0.174104 + 0.389514i
\(183\) 31.3880i 2.32026i
\(184\) −18.3075 + 2.61624i −1.34965 + 0.192872i
\(185\) −2.47037 + 1.42627i −0.181625 + 0.104861i
\(186\) −2.06060 9.13547i −0.151090 0.669845i
\(187\) −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 0.985696 + 0.168532i \(0.0539026\pi\)
0.638801 + 0.769372i \(0.279431\pi\)
\(192\) −7.12465 24.4188i −0.514177 1.76228i
\(193\) −3.55040 6.14947i −0.255563 0.442648i 0.709485 0.704720i \(-0.248928\pi\)
−0.965048 + 0.262072i \(0.915594\pi\)
\(194\) 0.258901 0.238999i 0.0185880 0.0171591i
\(195\) 4.89129i 0.350272i
\(196\) −9.33743 10.4313i −0.666959 0.745094i
\(197\) 0.614082i 0.0437515i −0.999761 0.0218758i \(-0.993036\pi\)
0.999761 0.0218758i \(-0.00696383\pi\)
\(198\) 16.5057 + 17.8802i 1.17301 + 1.27069i
\(199\) 4.47143 + 7.74474i 0.316971 + 0.549010i 0.979854 0.199713i \(-0.0640009\pi\)
−0.662884 + 0.748723i \(0.730668\pi\)
\(200\) 2.62492 + 1.05347i 0.185610 + 0.0744913i
\(201\) 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
\(206\) −8.27586 + 1.86671i −0.576607 + 0.130060i
\(207\) 40.2602 23.2442i 2.79828 1.61559i
\(208\) 6.07489 + 0.979161i 0.421218 + 0.0678926i
\(209\) 4.27525i 0.295725i
\(210\) 10.8614 + 4.85482i 0.749510 + 0.335015i
\(211\) 10.6756 0.734942 0.367471 0.930035i \(-0.380224\pi\)
0.367471 + 0.930035i \(0.380224\pi\)
\(212\) 6.76369 + 14.2303i 0.464532 + 0.977341i
\(213\) −6.33061 10.9649i −0.433766 0.751305i
\(214\) −0.172805 + 0.0389780i −0.0118127 + 0.00266448i
\(215\) 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
\(220\) 0.386332 4.82469i 0.0260465 0.325280i
\(221\) 10.1235 5.84481i 0.680981 0.393164i
\(222\) 8.70048 + 9.42502i 0.583938 + 0.632566i
\(223\) −1.40260 −0.0939252 −0.0469626 0.998897i \(-0.514954\pi\)
−0.0469626 + 0.998897i \(0.514954\pi\)
\(224\) −8.20389 + 12.5178i −0.548146 + 0.836383i
\(225\) −7.11001 −0.474000
\(226\) −9.25734 10.0282i −0.615789 0.667069i
\(227\) 3.48428 2.01165i 0.231260 0.133518i −0.379893 0.925030i \(-0.624039\pi\)
0.611153 + 0.791512i \(0.290706\pi\)
\(228\) 0.896695 11.1983i 0.0593851 0.741626i
\(229\) −10.8680 + 18.8239i −0.718178 + 1.24392i 0.243542 + 0.969890i \(0.421690\pi\)
−0.961721 + 0.274031i \(0.911643\pi\)
\(230\) −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 −0.617098 0.786886i \(-0.711692\pi\)
0.990013 + 0.140979i \(0.0450251\pi\)
\(234\) −15.0889 + 3.40345i −0.986390 + 0.222490i
\(235\) −5.65799 9.79993i −0.369087 0.639277i
\(236\) 4.85862 + 10.2222i 0.316269 + 0.665406i
\(237\) −6.45281 −0.419155
\(238\) 2.93076 + 28.2812i 0.189973 + 1.83320i
\(239\) 25.7524i 1.66578i 0.553435 + 0.832892i \(0.313317\pi\)
−0.553435 + 0.832892i \(0.686683\pi\)
\(240\) 2.02387 12.5564i 0.130640 0.810514i
\(241\) −1.67062 + 0.964530i −0.107614 + 0.0621309i −0.552841 0.833287i \(-0.686456\pi\)
0.445227 + 0.895418i \(0.353123\pi\)
\(242\) 7.09545 1.60045i 0.456113 0.102881i
\(243\) −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
\(248\) 5.46679 + 2.19400i 0.347141 + 0.139319i
\(249\) 0.459334 + 0.795589i 0.0291091 + 0.0504184i
\(250\) 0.959261 + 1.03914i 0.0606690 + 0.0657212i
\(251\) 12.9948i 0.820222i −0.912036 0.410111i \(-0.865490\pi\)
0.912036 0.410111i \(-0.134510\pi\)
\(252\) 7.41879 36.8839i 0.467340 2.32347i
\(253\) 15.8235i 0.994813i
\(254\) −9.77195 + 9.02075i −0.613147 + 0.566012i
\(255\) −12.0809 20.9247i −0.756534 1.31036i
\(256\) 15.1897 + 5.02721i 0.949357 + 0.314201i
\(257\) −14.4110 8.32019i −0.898933 0.518999i −0.0220792 0.999756i \(-0.507029\pi\)
−0.876854 + 0.480757i \(0.840362\pi\)
\(258\) −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
\(262\) 5.85495 + 25.9574i 0.361720 + 1.60365i
\(263\) 5.95477 3.43799i 0.367187 0.211995i −0.305042 0.952339i \(-0.598670\pi\)
0.672229 + 0.740343i \(0.265337\pi\)
\(264\) −21.5456 + 3.07897i −1.32604 + 0.189497i
\(265\) 7.87796i 0.483939i
\(266\) −5.35323 + 3.87743i −0.328228 + 0.237740i
\(267\) 44.2046 2.70528
\(268\) −11.3171 + 5.37905i −0.691303 + 0.328578i
\(269\) −11.0639 19.1633i −0.674580 1.16841i −0.976591 0.215102i \(-0.930991\pi\)
0.302012 0.953304i \(-0.402342\pi\)
\(270\) 4.06649 + 18.0284i 0.247479 + 1.09717i
\(271\) 5.29547 9.17203i 0.321677 0.557161i −0.659157 0.752005i \(-0.729087\pi\)
0.980834 + 0.194844i \(0.0624201\pi\)
\(272\) 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
\(276\) −3.31883 + 41.4470i −0.199770 + 2.49481i
\(277\) −16.5032 + 9.52815i −0.991583 + 0.572491i −0.905747 0.423818i \(-0.860689\pi\)
−0.0858360 + 0.996309i \(0.527356\pi\)
\(278\) 11.5546 10.6663i 0.692997 0.639724i
\(279\) −14.8076 −0.886511
\(280\) −6.39159 + 3.89199i −0.381970 + 0.232591i
\(281\) −17.6280 −1.05160 −0.525799 0.850609i \(-0.676234\pi\)
−0.525799 + 0.850609i \(0.676234\pi\)
\(282\) −37.3890 + 34.5147i −2.22648 + 2.05532i
\(283\) 0.485654 0.280393i 0.0288691 0.0166676i −0.485496 0.874239i \(-0.661361\pi\)
0.514365 + 0.857571i \(0.328028\pi\)
\(284\) 7.93857 + 0.635674i 0.471067 + 0.0377203i
\(285\) 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
\(290\) 0.729658 + 3.23487i 0.0428470 + 0.189958i
\(291\) −0.396100 0.686065i −0.0232198 0.0402179i
\(292\) −2.70936 5.70029i −0.158554 0.333584i
\(293\) −23.8016 −1.39051 −0.695253 0.718765i \(-0.744708\pi\)
−0.695253 + 0.718765i \(0.744708\pi\)
\(294\) −27.4976 + 15.3187i −1.60369 + 0.893406i
\(295\) 5.65903i 0.329482i
\(296\) −7.98704 + 1.14139i −0.464238 + 0.0663419i
\(297\) 27.3890 15.8130i 1.58927 0.917565i
\(298\) 3.47812 + 15.4199i 0.201482 + 0.893253i
\(299\) −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
\(304\) 5.47943 + 4.46196i 0.314267 + 0.255911i
\(305\) 4.93580 + 8.54905i 0.282623 + 0.489517i
\(306\) −56.1433 + 51.8274i −3.20950 + 2.96278i
\(307\) 9.32160i 0.532012i 0.963971 + 0.266006i \(0.0857041\pi\)
−0.963971 + 0.266006i \(0.914296\pi\)
\(308\) 9.60979 + 8.46403i 0.547569 + 0.482283i
\(309\) 19.0744i 1.08510i
\(310\) 1.99780 + 2.16417i 0.113468 + 0.122917i
\(311\) −2.73260 4.73300i −0.154951 0.268384i 0.778090 0.628153i \(-0.216189\pi\)
−0.933041 + 0.359769i \(0.882855\pi\)
\(312\) 5.15281 12.8392i 0.291720 0.726879i
\(313\) −19.9919 11.5423i −1.13001 0.652412i −0.186073 0.982536i \(-0.559576\pi\)
−0.943937 + 0.330124i \(0.892909\pi\)
\(314\) 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 \(-0.656788\pi\)
−0.999518 + 0.0310291i \(0.990122\pi\)
\(318\) 34.5564 7.79454i 1.93783 0.437096i
\(319\) 4.91445 2.83736i 0.275157 0.158862i
\(320\) 5.78042 + 5.53053i 0.323135 + 0.309166i
\(321\) 0.398285i 0.0222301i
\(322\) 19.8133 14.3511i 1.10415 0.799754i
\(323\) 13.4242 0.746941
\(324\) 36.5282 17.3619i 2.02934 0.964552i
\(325\) 0.769162 + 1.33223i 0.0426654 + 0.0738987i
\(326\) 2.45562 0.553890i 0.136004 0.0306771i
\(327\) −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 −0.858730 0.512428i \(-0.828746\pi\)
0.873141 + 0.487468i \(0.162079\pi\)
\(332\) −0.576003 0.0461229i −0.0316123 0.00253132i
\(333\) 17.5643 10.1408i 0.962519 0.555711i
\(334\) −5.45969 5.91434i −0.298741 0.323618i
\(335\) −6.26521 −0.342305
\(336\) 23.3960 + 24.1857i 1.27636 + 1.31944i
\(337\) −3.41643 −0.186105 −0.0930524 0.995661i \(-0.529662\pi\)
−0.0930524 + 0.995661i \(0.529662\pi\)
\(338\) −10.2004 11.0498i −0.554826 0.601030i
\(339\) −26.5739 + 15.3425i −1.44330 + 0.833288i
\(340\) 15.1494 + 1.21307i 0.821591 + 0.0657881i
\(341\) 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
\(346\) 26.1271 5.89324i 1.40460 0.316823i
\(347\) 4.64349 + 8.04275i 0.249275 + 0.431758i 0.963325 0.268337i \(-0.0864742\pi\)
−0.714050 + 0.700095i \(0.753141\pi\)
\(348\) 13.4677 6.40124i 0.721945 0.343142i
\(349\) 18.6699 0.999374 0.499687 0.866206i \(-0.333448\pi\)
0.499687 + 0.866206i \(0.333448\pi\)
\(350\) −3.72173 + 0.385680i −0.198935 + 0.0206155i
\(351\) 20.1032i 1.07303i
\(352\) 6.09674 12.2574i 0.324957 0.653323i
\(353\) −11.7057 + 6.75828i −0.623030 + 0.359707i −0.778048 0.628205i \(-0.783790\pi\)
0.155018 + 0.987912i \(0.450457\pi\)
\(354\) 24.8232 5.59911i 1.31934 0.297590i
\(355\) 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 \(-0.578176\pi\)
−0.961606 + 0.274435i \(0.911509\pi\)
\(360\) −18.6632 7.49016i −0.983637 0.394766i
\(361\) −7.93959 13.7518i −0.417873 0.723777i
\(362\) −14.3688 15.5653i −0.755207 0.818096i
\(363\) 16.3537i 0.858348i
\(364\) −7.71363 + 2.60002i −0.404304 + 0.136278i
\(365\) 3.15571i 0.165177i
\(366\) 32.6166 30.1092i 1.70490 1.57384i
\(367\) −17.7819 30.7992i −0.928208 1.60770i −0.786319 0.617821i \(-0.788016\pi\)
−0.141889 0.989883i \(-0.545318\pi\)
\(368\) −20.2804 16.5145i −1.05719 0.860878i
\(369\) −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 \(-0.121406\pi\)
0.141712 + 0.989908i \(0.454739\pi\)
\(374\) −5.72244 25.3699i −0.295900 1.31185i
\(375\) 2.75363 1.58981i 0.142197 0.0820975i
\(376\) −4.52788 31.6845i −0.233507 1.63400i
\(377\) 3.60716i 0.185778i
\(378\) −44.6406 19.9534i −2.29606 1.02629i
\(379\) −25.9215 −1.33150 −0.665748 0.746177i \(-0.731887\pi\)
−0.665748 + 0.746177i \(0.731887\pi\)
\(380\) 1.51672 + 3.19106i 0.0778061 + 0.163698i
\(381\) 14.9504 + 25.8948i 0.765930 + 1.32663i
\(382\) 8.06690 + 35.7638i 0.412738 + 1.82984i
\(383\) −16.8541 + 29.1922i −0.861205 + 1.49165i 0.00956071 + 0.999954i \(0.496957\pi\)
−0.870766 + 0.491697i \(0.836377\pi\)
\(384\) 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
\(388\) 0.496708 + 0.0397735i 0.0252165 + 0.00201919i
\(389\) 29.0131 16.7507i 1.47102 0.849294i 0.471550 0.881839i \(-0.343695\pi\)
0.999470 + 0.0325451i \(0.0103612\pi\)
\(390\) 5.08275 4.69202i 0.257375 0.237590i
\(391\) −49.6853 −2.51269
\(392\) 1.88261 19.7093i 0.0950860 0.995469i
\(393\) 59.8271 3.01788
\(394\) 0.638119 0.589065i 0.0321480 0.0296766i
\(395\) 1.75753 1.01471i 0.0884311 0.0510557i
\(396\) −2.74683 + 34.3035i −0.138033 + 1.72382i
\(397\) −2.24042 + 3.88052i −0.112443 + 0.194757i −0.916755 0.399450i \(-0.869201\pi\)
0.804312 + 0.594208i \(0.202534\pi\)
\(398\) −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 0.159032 + 0.987273i \(0.449163\pi\)
−0.934520 + 0.355911i \(0.884171\pi\)
\(402\) 6.19887 + 27.4821i 0.309172 + 1.37068i
\(403\) 1.60189 + 2.77456i 0.0797960 + 0.138211i
\(404\) 17.6211 8.37534i 0.876681 0.416689i
\(405\) 20.2222 1.00485
\(406\) −8.00994 3.58027i −0.397527 0.177686i
\(407\) 6.90332i 0.342185i
\(408\) −9.66788 67.6525i −0.478631 3.34930i
\(409\) −22.6647 + 13.0855i −1.12070 + 0.647034i −0.941579 0.336794i \(-0.890658\pi\)
−0.179117 + 0.983828i \(0.557324\pi\)
\(410\) 2.14820 + 9.52384i 0.106092 + 0.470349i
\(411\) 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
\(416\) 4.80991 + 7.25195i 0.235825 + 0.355556i
\(417\) −17.6776 30.6186i −0.865678 1.49940i
\(418\) 4.44260 4.10108i 0.217295 0.200590i
\(419\) 3.71538i 0.181508i 0.995873 + 0.0907540i \(0.0289277\pi\)
−0.995873 + 0.0907540i \(0.971072\pi\)
\(420\) 5.37409 + 15.9436i 0.262229 + 0.777969i
\(421\) 9.89335i 0.482172i −0.970504 0.241086i \(-0.922496\pi\)
0.970504 0.241086i \(-0.0775037\pi\)
\(422\) 10.2407 + 11.0935i 0.498511 + 0.540024i
\(423\) 40.2283 + 69.6775i 1.95597 + 3.38784i
\(424\) −8.29917 + 20.6790i −0.403043 + 1.00426i
\(425\) 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
\(430\) 1.92231 0.433596i 0.0927019 0.0209099i
\(431\) 21.9155 12.6529i 1.05563 0.609471i 0.131413 0.991328i \(-0.458049\pi\)
0.924222 + 0.381857i \(0.124715\pi\)
\(432\) −8.31811 + 51.6070i −0.400205 + 2.48294i
\(433\) 3.51643i 0.168989i −0.996424 0.0844944i \(-0.973073\pi\)
0.996424 0.0844944i \(-0.0269275\pi\)
\(434\) −7.75105 + 0.803235i −0.372062 + 0.0385565i
\(435\) 7.45579 0.357478
\(436\) −0.396342 0.833872i −0.0189813 0.0399352i
\(437\) −5.77537 10.0032i −0.276273 0.478520i
\(438\) −13.8424 + 3.12230i −0.661416 + 0.149189i
\(439\) 4.56047 7.89896i 0.217659 0.376997i −0.736433 0.676511i \(-0.763491\pi\)
0.954092 + 0.299514i \(0.0968245\pi\)
\(440\) 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 −0.904133 0.427251i \(-0.859482\pi\)
0.822077 + 0.569377i \(0.192815\pi\)
\(444\) −1.44791 + 18.0821i −0.0687147 + 0.858138i
\(445\) −12.0399 + 6.95124i −0.570746 + 0.329520i
\(446\) −1.34546 1.45750i −0.0637094 0.0690148i
\(447\) 35.5402 1.68099
\(448\) −20.8775 + 3.48285i −0.986369 + 0.164549i
\(449\) 10.3646 0.489133 0.244567 0.969632i \(-0.421354\pi\)
0.244567 + 0.969632i \(0.421354\pi\)
\(450\) −6.82035 7.38832i −0.321514 0.348289i
\(451\) 14.4687 8.35353i 0.681306 0.393352i
\(452\) 1.54058 19.2394i 0.0724627 0.904945i
\(453\) −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 −0.358183 0.933652i \(-0.616603\pi\)
0.987657 0.156630i \(-0.0500632\pi\)
\(458\) −29.9860 + 6.76366i −1.40116 + 0.316045i
\(459\) 49.6525 + 86.0006i 2.31758 + 4.01417i
\(460\) −5.61365 11.8107i −0.261738 0.550676i
\(461\) 9.19023 0.428032 0.214016 0.976830i \(-0.431346\pi\)
0.214016 + 0.976830i \(0.431346\pi\)
\(462\) 23.3176 16.8893i 1.08483 0.785762i
\(463\) 10.8548i 0.504464i −0.967667 0.252232i \(-0.918835\pi\)
0.967667 0.252232i \(-0.0811645\pi\)
\(464\) −1.49253 + 9.25994i −0.0692891 + 0.429882i
\(465\) 5.73485 3.31102i 0.265947 0.153545i
\(466\) 15.7057 3.54257i 0.727551 0.164107i
\(467\) 25.9792 + 14.9991i 1.20218 + 0.694077i 0.961039 0.276414i \(-0.0891463\pi\)
0.241137 + 0.970491i \(0.422480\pi\)
\(468\) −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
\(472\) −5.96160 + 14.8545i −0.274405 + 0.683734i
\(473\) −1.68609 2.92039i −0.0775265 0.134280i
\(474\) −6.18993 6.70539i −0.284313 0.307989i
\(475\) 1.76659i 0.0810565i
\(476\) −26.5768 + 30.1745i −1.21815 + 1.38305i
\(477\) 56.0123i 2.56463i
\(478\) −26.7604 + 24.7033i −1.22399 + 1.12990i
\(479\) 4.67977 + 8.10560i 0.213824 + 0.370355i 0.952908 0.303259i \(-0.0980747\pi\)
−0.739084 + 0.673613i \(0.764741\pi\)
\(480\) 14.9894 9.94181i 0.684167 0.453779i
\(481\) −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
\(486\) −7.80859 34.6187i −0.354205 1.57033i
\(487\) 14.9682 8.64189i 0.678273 0.391601i −0.120931 0.992661i \(-0.538588\pi\)
0.799204 + 0.601060i \(0.205255\pi\)
\(488\) 3.94993 + 27.6403i 0.178805 + 1.25122i
\(489\) 5.65976i 0.255943i
\(490\) 5.08056 8.49635i 0.229516 0.383826i
\(491\) −28.4313 −1.28309 −0.641543 0.767087i \(-0.721705\pi\)
−0.641543 + 0.767087i \(0.721705\pi\)
\(492\) 39.6505 18.8460i 1.78758 0.849643i
\(493\) 8.90924 + 15.4313i 0.401252 + 0.694989i
\(494\) 0.845637 + 3.74905i 0.0380470 + 0.168678i
\(495\) −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 −0.453172 0.891423i \(-0.649708\pi\)
0.998581 0.0532527i \(-0.0169589\pi\)
\(500\) −0.159637 + 1.99362i −0.00713920 + 0.0891573i
\(501\) −15.6725 + 9.04850i −0.700194 + 0.404257i
\(502\) 13.5034 12.4654i 0.602687 0.556357i
\(503\) 22.0798 0.984489 0.492245 0.870457i \(-0.336177\pi\)
0.492245 + 0.870457i \(0.336177\pi\)
\(504\) 45.4442 27.6721i 2.02425 1.23261i
\(505\) 9.75511 0.434097
\(506\) −16.4429 + 15.1788i −0.730974 + 0.674782i
\(507\) −29.2809 + 16.9054i −1.30041 + 0.750794i
\(508\) −18.7477 1.50121i −0.831795 0.0666052i
\(509\) −7.47946 + 12.9548i −0.331521 + 0.574212i −0.982810 0.184618i \(-0.940895\pi\)
0.651289 + 0.758830i \(0.274229\pi\)
\(510\) 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
\(514\) −5.17803 22.9563i −0.228393 1.01256i
\(515\) −2.99947 5.19523i −0.132172 0.228929i
\(516\) −3.80391 8.00313i −0.167458 0.352318i
\(517\) −27.3854 −1.20441
\(518\) 8.64395 6.26095i 0.379793 0.275090i
\(519\) 60.2183i 2.64329i
\(520\) 0.615531 + 4.30728i 0.0269928 + 0.188887i
\(521\) 13.6812 7.89884i 0.599384 0.346055i −0.169415 0.985545i \(-0.554188\pi\)
0.768799 + 0.639490i \(0.220855\pi\)
\(522\) −5.18787 22.9999i −0.227067 1.00668i
\(523\) 17.4282 + 10.0622i 0.762083 + 0.439989i 0.830043 0.557699i \(-0.188316\pi\)
−0.0679602 + 0.997688i \(0.521649\pi\)
\(524\) −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
\(528\) −23.8673 19.4354i −1.03869 0.845817i
\(529\) 9.87568 + 17.1052i 0.429377 + 0.743703i
\(530\) −8.18633 + 7.55702i −0.355591 + 0.328256i
\(531\) 40.2358i 1.74608i
\(532\) −9.16435 1.84331i −0.397325 0.0799176i
\(533\) 10.6199i 0.459999i
\(534\) 42.4038 + 45.9349i 1.83499 + 1.98780i
\(535\) −0.0626308 0.108480i −0.00270776 0.00468999i
\(536\) −16.4457 6.60019i −0.710345 0.285085i
\(537\) −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 \(-0.446542\pi\)
−0.770264 + 0.637726i \(0.779875\pi\)
\(542\) 14.6108 3.29561i 0.627587 0.141559i
\(543\) −41.2467 + 23.8138i −1.77007 + 1.02195i
\(544\) 38.4880 + 19.1436i 1.65016 + 0.820775i
\(545\) 0.461636i 0.0197743i
\(546\) 1.88647 + 18.2040i 0.0807335 + 0.779061i
\(547\) −29.9614 −1.28106 −0.640529 0.767934i \(-0.721285\pi\)
−0.640529 + 0.767934i \(0.721285\pi\)
\(548\) −27.2929 + 12.9724i −1.16589 + 0.554152i
\(549\) −35.0936 60.7838i −1.49776 2.59419i
\(550\) 3.33861 0.753058i 0.142359 0.0321105i
\(551\) −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
\(556\) 22.1677 + 1.77506i 0.940120 + 0.0752793i
\(557\) −36.5898 + 21.1251i −1.55036 + 0.895100i −0.552246 + 0.833681i \(0.686229\pi\)
−0.998112 + 0.0614182i \(0.980438\pi\)
\(558\) −14.2044 15.3873i −0.601320 0.651395i
\(559\) 2.14354 0.0906621
\(560\) −10.1755 2.90834i −0.429995 0.122900i
\(561\) −58.4730 −2.46873
\(562\) −16.9099 18.3180i −0.713299 0.772699i
\(563\) 19.4740 11.2433i 0.820731 0.473849i −0.0299372 0.999552i \(-0.509531\pi\)
0.850669 + 0.525702i \(0.176197\pi\)
\(564\) −71.7315 5.74384i −3.02044 0.241859i
\(565\) 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 0.321864 + 0.946786i \(0.395690\pi\)
−0.980873 + 0.194650i \(0.937643\pi\)
\(570\) 7.74907 1.74788i 0.324573 0.0732107i
\(571\) −4.27788 7.40950i −0.179024 0.310078i 0.762523 0.646961i \(-0.223961\pi\)
−0.941546 + 0.336883i \(0.890627\pi\)
\(572\) 6.72473 3.19628i 0.281175 0.133643i
\(573\) 82.4291 3.44353
\(574\) −23.5822 10.5407i −0.984302 0.439962i
\(575\) 6.53845i 0.272672i
\(576\) −41.0988 39.3221i −1.71245 1.63842i
\(577\) 35.0221 20.2200i 1.45799 0.841771i 0.459078 0.888396i \(-0.348180\pi\)
0.998912 + 0.0466251i \(0.0148466\pi\)
\(578\) 56.2083 12.6784i 2.33796 0.527350i
\(579\) −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
\(584\) 3.32443 8.28349i 0.137566 0.342773i
\(585\) −5.46874 9.47214i −0.226105 0.391625i
\(586\) −22.8320 24.7333i −0.943180 1.02172i
\(587\) 46.5032i 1.91939i 0.281038 + 0.959697i \(0.409321\pi\)
−0.281038 + 0.959697i \(0.590679\pi\)
\(588\) −42.2957 13.8793i −1.74425 0.572372i
\(589\) 3.67918i 0.151598i
\(590\) −5.88055 + 5.42849i −0.242098 + 0.223487i
\(591\) −0.976274 1.69096i −0.0401586 0.0695567i
\(592\) −8.84772 7.20479i −0.363639 0.296115i
\(593\) 5.42655 + 3.13302i 0.222842 + 0.128658i 0.607265 0.794499i \(-0.292267\pi\)
−0.384424 + 0.923157i \(0.625600\pi\)
\(594\) 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
\(598\) −3.12985 13.8759i −0.127989 0.567428i
\(599\) −35.7470 + 20.6385i −1.46058 + 0.843268i −0.999038 0.0438493i \(-0.986038\pi\)
−0.461544 + 0.887117i \(0.652705\pi\)
\(600\) 8.90289 1.27227i 0.363459 0.0519401i
\(601\) 18.4478i 0.752502i −0.926518 0.376251i \(-0.877213\pi\)
0.926518 0.376251i \(-0.122787\pi\)
\(602\) −2.12756 + 4.75987i −0.0867129 + 0.193998i
\(603\) 44.5457 1.81404
\(604\) −13.0695 27.4973i −0.531791 1.11885i
\(605\) 2.57165 + 4.45422i 0.104552 + 0.181090i
\(606\) −9.65182 42.7904i −0.392078 1.73824i
\(607\) 3.76477 6.52077i 0.152807 0.264670i −0.779451 0.626463i \(-0.784502\pi\)
0.932258 + 0.361793i \(0.117835\pi\)
\(608\) 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
\(612\) −107.712 8.62496i −4.35401 0.348643i
\(613\) 15.3991 8.89067i 0.621963 0.359091i −0.155670 0.987809i \(-0.549754\pi\)
0.777633 + 0.628719i \(0.216420\pi\)
\(614\) −9.68648 + 8.94185i −0.390914 + 0.360864i
\(615\) 21.9507 0.885138
\(616\) 0.422960 + 18.1052i 0.0170415 + 0.729478i
\(617\) −25.4606 −1.02500 −0.512502 0.858686i \(-0.671281\pi\)
−0.512502 + 0.858686i \(0.671281\pi\)
\(618\) −19.8210 + 18.2973i −0.797317 + 0.736025i
\(619\) 1.54568 0.892398i 0.0621261 0.0358685i −0.468615 0.883402i \(-0.655247\pi\)
0.530741 + 0.847534i \(0.321914\pi\)
\(620\) −0.332468 + 4.15201i −0.0133522 + 0.166749i
\(621\) 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
\(626\) −7.18332 31.8466i −0.287103 1.27285i
\(627\) −6.79685 11.7725i −0.271440 0.470148i
\(628\) 1.29275 0.614447i 0.0515863 0.0245191i
\(629\) −21.6762 −0.864288
\(630\) 26.4615 2.74219i 1.05425 0.109251i
\(631\) 25.2033i 1.00333i −0.865063 0.501663i \(-0.832722\pi\)
0.865063 0.501663i \(-0.167278\pi\)
\(632\) 5.68235 0.812037i 0.226032 0.0323011i
\(633\) 29.3968 16.9723i 1.16842 0.674587i
\(634\) −9.41950 41.7605i −0.374096 1.65852i
\(635\) −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
\(640\) −0.202090 + 11.3119i −0.00798829 + 0.447142i
\(641\) 1.24626 + 2.15858i 0.0492242 + 0.0852587i 0.889588 0.456765i \(-0.150992\pi\)
−0.840363 + 0.542023i \(0.817658\pi\)
\(642\) −0.413875 + 0.382059i −0.0163343 + 0.0150787i
\(643\) 39.1121i 1.54243i 0.636575 + 0.771215i \(0.280350\pi\)
−0.636575 + 0.771215i \(0.719650\pi\)
\(644\) 33.9189 + 6.82242i 1.33659 + 0.268841i
\(645\) 4.43057i 0.174454i
\(646\) 12.8773 + 13.9496i 0.506650 + 0.548841i
\(647\) −7.69474 13.3277i −0.302512 0.523965i 0.674193 0.738556i \(-0.264492\pi\)
−0.976704 + 0.214590i \(0.931158\pi\)
\(648\) 53.0816 + 21.3034i 2.08524 + 0.836876i
\(649\) 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 \(-0.342945\pi\)
−0.525918 + 0.850536i \(0.676278\pi\)
\(654\) −2.02495 + 0.456748i −0.0791818 + 0.0178603i
\(655\) −16.2949 + 9.40788i −0.636696 + 0.367596i
\(656\) −4.39420 + 27.2624i −0.171565 + 1.06442i
\(657\) 22.4371i 0.875355i
\(658\) 24.8371 + 34.2905i 0.968252 + 1.33678i
\(659\) 23.4292 0.912670 0.456335 0.889808i \(-0.349162\pi\)
0.456335 + 0.889808i \(0.349162\pi\)
\(660\) −6.60652 13.8996i −0.257159 0.541042i
\(661\) 10.1419 + 17.5663i 0.394474 + 0.683249i 0.993034 0.117829i \(-0.0375935\pi\)
−0.598560 + 0.801078i \(0.704260\pi\)
\(662\) 0.723385 0.163167i 0.0281152 0.00634166i
\(663\) 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
\(668\) 0.908584 11.3468i 0.0351542 0.439020i
\(669\) −3.86225 + 2.22987i −0.149323 + 0.0862119i
\(670\) −6.00997 6.51045i −0.232185 0.251520i
\(671\) 23.8899 0.922259
\(672\) −2.68952 + 47.5122i −0.103750 + 1.83282i
\(673\) −14.3296 −0.552364 −0.276182 0.961105i \(-0.589069\pi\)
−0.276182 + 0.961105i \(0.589069\pi\)
\(674\) −3.27725 3.55016i −0.126235 0.136747i
\(675\) −11.3175 + 6.53414i −0.435609 + 0.251499i
\(676\) 1.69751 21.1993i 0.0652890 0.815357i
\(677\) −9.11144 + 15.7815i −0.350181 + 0.606531i −0.986281 0.165075i \(-0.947213\pi\)
0.636100 + 0.771607i \(0.280547\pi\)
\(678\) −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
\(682\) 6.95315 1.56835i 0.266250 0.0600554i
\(683\) 11.4579 + 19.8456i 0.438422 + 0.759370i 0.997568 0.0696995i \(-0.0222041\pi\)
−0.559146 + 0.829069i \(0.688871\pi\)
\(684\) −10.7839 22.6885i −0.412332 0.867515i
\(685\) −15.1095 −0.577302
\(686\) 9.95013 + 24.2280i 0.379898 + 0.925029i
\(687\) 69.1124i 2.63680i
\(688\) 5.50269 + 0.886932i 0.209788 + 0.0338140i
\(689\) −10.4952 + 6.05942i −0.399836 + 0.230846i
\(690\) −28.6807 + 6.46922i −1.09186 + 0.246279i
\(691\) 14.4278 + 8.32990i 0.548860 + 0.316884i 0.748662 0.662952i \(-0.230697\pi\)
−0.199802 + 0.979836i \(0.564030\pi\)
\(692\) 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
\(696\) 19.5708 + 7.85442i 0.741831 + 0.297721i
\(697\) 26.2299 + 45.4314i 0.993526 + 1.72084i
\(698\) 17.9093 + 19.4006i 0.677875 + 0.734325i
\(699\) 36.1987i 1.36916i
\(700\) −3.97088 3.49744i −0.150085 0.132191i
\(701\) 3.87396i 0.146317i 0.997320 + 0.0731587i \(0.0233080\pi\)
−0.997320 + 0.0731587i \(0.976692\pi\)
\(702\) −20.8901 + 19.2842i −0.788447 + 0.727837i
\(703\) −2.51962 4.36412i −0.0950294 0.164596i
\(704\) 18.5856 5.42269i 0.700471 0.204375i
\(705\) −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 \(-0.157624\pi\)
0.0284031 + 0.999597i \(0.490958\pi\)
\(710\) 1.23909 + 5.49337i 0.0465021 + 0.206163i
\(711\) −12.4961 + 7.21462i −0.468640 + 0.270569i
\(712\) −38.9267 + 5.56281i −1.45884 + 0.208475i
\(713\) 13.6173i 0.509972i
\(714\) 53.0320 + 73.2167i 1.98467 + 2.74006i
\(715\) 3.72284 0.139226
\(716\) 5.38913 2.56147i 0.201401 0.0957265i
\(717\) 40.9415 + 70.9127i 1.52899 + 2.64828i
\(718\) −8.20185 36.3621i −0.306090 1.35702i
\(719\) −8.27114 + 14.3260i −0.308461 + 0.534271i −0.978026 0.208483i \(-0.933147\pi\)
0.669565 + 0.742754i \(0.266481\pi\)
\(720\) −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
\(724\) 2.39121 29.8625i 0.0888686 1.10983i
\(725\) −2.03071 + 1.17243i −0.0754188 + 0.0435430i
\(726\) 16.9939 15.6875i 0.630701 0.582217i
\(727\) −6.76375 −0.250854 −0.125427 0.992103i \(-0.540030\pi\)
−0.125427 + 0.992103i \(0.540030\pi\)
\(728\) −10.1012 5.52147i −0.374375 0.204639i
\(729\) −19.1232 −0.708268
\(730\) 3.27923 3.02715i 0.121370 0.112040i
\(731\) 9.16996 5.29428i 0.339163 0.195816i
\(732\) 62.5756 + 5.01069i 2.31286 + 0.185200i
\(733\) −17.1394 + 29.6863i −0.633059 + 1.09649i 0.353864 + 0.935297i \(0.384867\pi\)
−0.986923 + 0.161193i \(0.948466\pi\)
\(734\) 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
\(738\) −15.2737 67.7146i −0.562233 2.49261i
\(739\) −19.2212 33.2921i −0.707063 1.22467i −0.965942 0.258759i \(-0.916687\pi\)
0.258879 0.965910i \(-0.416647\pi\)
\(740\) −2.44907 5.15266i −0.0900296 0.189415i
\(741\) 8.64088 0.317431
\(742\) −3.03837 29.3196i −0.111542 1.07636i
\(743\) 30.1845i 1.10736i 0.832729 + 0.553681i \(0.186777\pi\)
−0.832729 + 0.553681i \(0.813223\pi\)
\(744\) 18.5416 2.64968i 0.679767 0.0971422i
\(745\) −9.67998 + 5.58874i −0.354647 + 0.204755i
\(746\) 7.42420 + 32.9145i 0.271819 + 1.20509i
\(747\) 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 \(-0.142351\pi\)
0.0763147 + 0.997084i \(0.475685\pi\)
\(752\) 28.5814 35.0988i 1.04225 1.27992i
\(753\) −20.6592 35.7828i −0.752864 1.30400i
\(754\) −3.74835 + 3.46021i −0.136507 + 0.126013i
\(755\) 15.2226i 0.554008i
\(756\) −22.0876 65.5284i −0.803317 2.38325i
\(757\) 32.7932i 1.19189i −0.803025 0.595945i \(-0.796777\pi\)
0.803025 0.595945i \(-0.203223\pi\)
\(758\) −24.8654 26.9361i −0.903153 0.978363i
\(759\) 25.1563 + 43.5721i 0.913117 + 1.58157i
\(760\) −1.86104 + 4.63715i −0.0675070 + 0.168207i
\(761\) −11.1966 6.46436i −0.405876 0.234333i 0.283140 0.959079i \(-0.408624\pi\)
−0.689016 + 0.724746i \(0.741957\pi\)
\(762\) −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
\(766\) −46.5024 + 10.4891i −1.68020 + 0.378986i
\(767\) −7.53912 + 4.35271i −0.272222 + 0.157167i
\(768\) 49.8192 10.3057i 1.79770 0.371874i
\(769\) 1.25520i 0.0452635i 0.999744 + 0.0226318i \(0.00720453\pi\)
−0.999744 + 0.0226318i \(0.992795\pi\)
\(770\) −3.69509 + 8.26682i −0.133162 + 0.297915i
\(771\) −52.9102 −1.90551
\(772\) 12.8265 6.09645i 0.461635 0.219416i
\(773\) −11.0046 19.0605i −0.395808 0.685559i 0.597396 0.801946i \(-0.296202\pi\)
−0.993204 + 0.116387i \(0.962869\pi\)