Properties

Label 280.2.bj.f.171.9
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 171.9
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.9

$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.959261 1.03914i 0.678300 0.734785i
\(3\) 2.75363 + 1.58981i 1.58981 + 0.917878i 0.993337 + 0.115247i \(0.0367658\pi\)
0.596475 + 0.802632i \(0.296568\pi\)
\(4\) −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 −0.623912 0.781495i \(-0.714458\pi\)
0.988750 + 0.149576i \(0.0477909\pi\)
\(12\) 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 −0.992230 0.124421i \(-0.960293\pi\)
−0.603866 0.797086i \(-0.706374\pi\)
\(18\) 9.80864 + 2.21244i 2.31192 + 0.521477i
\(19\) −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 0.224528 0.974468i \(-0.427916\pi\)
0.956178 + 0.292787i \(0.0945826\pi\)
\(24\) −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 \(0.0698604\pi\)
−0.976012 + 0.217715i \(0.930140\pi\)
\(30\) −3.30408 3.05009i −0.603241 0.556867i
\(31\) −1.04132 + 1.80363i −0.187027 + 0.323941i −0.944258 0.329207i \(-0.893219\pi\)
0.757230 + 0.653148i \(0.226552\pi\)
\(32\) −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 −0.282998 0.959121i \(-0.591329\pi\)
0.689124 + 0.724644i \(0.257996\pi\)
\(38\) −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 \(0.181227\pi\)
−0.842256 + 0.539077i \(0.818773\pi\)
\(42\) −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 −0.901688 0.432388i \(-0.857671\pi\)
0.0763851 0.997078i \(-0.475662\pi\)
\(48\) −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 0.889064 0.457783i \(-0.151356\pi\)
0.0480800 + 0.998843i \(0.484690\pi\)
\(54\) 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 0.783859 0.620939i \(-0.213249\pi\)
−0.145820 + 0.989311i \(0.546582\pi\)
\(60\) −6.33896 + 0.507586i −0.818356 + 0.0655291i
\(61\) 4.93580 + 8.54905i 0.631964 + 1.09459i 0.987150 + 0.159798i \(0.0510844\pi\)
−0.355186 + 0.934796i \(0.615582\pi\)
\(62\) 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 −0.608740 0.793370i \(-0.708325\pi\)
0.991448 + 0.130499i \(0.0416581\pi\)
\(68\) −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 \(0.0759307\pi\)
−0.971683 + 0.236287i \(0.924069\pi\)
\(72\) 2.84494 19.9079i 0.335279 2.34617i
\(73\) −2.73292 1.57785i −0.319865 0.184674i 0.331468 0.943467i \(-0.392456\pi\)
−0.651332 + 0.758793i \(0.725790\pi\)
\(74\) 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 −0.595600 0.803281i \(-0.703086\pi\)
0.397862 + 0.917445i \(0.369752\pi\)
\(80\) 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 \(-0.994952\pi\)
0.999874 0.0158567i \(-0.00504756\pi\)
\(84\) 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 0.300074 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
\(94\) −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 \(0.00402629\pi\)
−0.999920 + 0.0126486i \(0.995974\pi\)
\(98\) −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 −0.999858 0.0168520i \(-0.994636\pi\)
0.514523 + 0.857476i \(0.327969\pi\)
\(102\) −33.3325 7.51848i −3.30041 0.744440i
\(103\) −2.99947 5.19523i −0.295546 0.511902i 0.679565 0.733615i \(-0.262168\pi\)
−0.975112 + 0.221713i \(0.928835\pi\)
\(104\) 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 \(0.835261\pi\)
\(108\) 26.0532 2.08618i 2.50697 0.200743i
\(109\) −0.399788 0.230818i −0.0382928 0.0221083i 0.480731 0.876868i \(-0.340371\pi\)
−0.519024 + 0.854760i \(0.673705\pi\)
\(110\) −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 \(-0.863001\pi\)
0.908802 0.417229i \(-0.136999\pi\)
\(128\) 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 0.427082 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
\(136\) 8.00523 + 19.9466i 0.686443 + 1.71041i
\(137\) 7.55473 13.0852i 0.645444 1.11794i −0.338755 0.940875i \(-0.610006\pi\)
0.984199 0.177067i \(-0.0566609\pi\)
\(138\) 19.9429 21.6036i 1.69765 1.83902i
\(139\) 11.1193i 0.943129i 0.881831 + 0.471565i \(0.156311\pi\)
−0.881831 + 0.471565i \(0.843689\pi\)
\(140\) −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 −0.0480082 0.998847i \(-0.515287\pi\)
0.841023 + 0.541000i \(0.181954\pi\)
\(150\) −0.989412 + 4.38647i −0.0807851 + 0.358153i
\(151\) −13.1832 7.61131i −1.07283 0.619399i −0.143878 0.989595i \(-0.545957\pi\)
−0.928954 + 0.370196i \(0.879290\pi\)
\(152\) 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 −0.879951 0.475064i \(-0.842425\pi\)
0.851393 + 0.524528i \(0.175758\pi\)
\(158\) −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 0.898774 0.438413i \(-0.144459\pi\)
−0.829063 + 0.559155i \(0.811126\pi\)
\(164\) 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 0.961021 + 0.276476i \(0.0891666\pi\)
−0.241075 + 0.970506i \(0.577500\pi\)
\(174\) 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 −0.916374 0.400323i \(-0.868898\pi\)
0.804877 + 0.593441i \(0.202231\pi\)
\(180\) −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 0.638801 0.769372i \(-0.279431\pi\)
0.985696 0.168532i \(-0.0539026\pi\)
\(192\) −7.12465 + 24.4188i −0.514177 + 1.76228i
\(193\) −3.55040 + 6.14947i −0.255563 + 0.442648i −0.965048 0.262072i \(-0.915594\pi\)
0.709485 + 0.704720i \(0.248928\pi\)
\(194\) 0.258901 + 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 \(0.00696383\pi\)
−0.999761 + 0.0218758i \(0.993036\pi\)
\(198\) 16.5057 17.8802i 1.17301 1.27069i
\(199\) 4.47143 7.74474i 0.316971 0.549010i −0.662884 0.748723i \(-0.730668\pi\)
0.979854 + 0.199713i \(0.0640009\pi\)
\(200\) 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 0.611153 0.791512i \(-0.290706\pi\)
−0.379893 + 0.925030i \(0.624039\pi\)
\(228\) 0.896695 + 11.1983i 0.0593851 + 0.741626i
\(229\) −10.8680 18.8239i −0.718178 1.24392i −0.961721 0.274031i \(-0.911643\pi\)
0.243542 0.969890i \(-0.421690\pi\)
\(230\) −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 \(0.711692\pi\)
\(234\) −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 \(-0.686683\pi\)
0.553435 0.832892i \(-0.313317\pi\)
\(240\) 2.02387 + 12.5564i 0.130640 + 0.810514i
\(241\) −1.67062 0.964530i −0.107614 0.0621309i 0.445227 0.895418i \(-0.353123\pi\)
−0.552841 + 0.833287i \(0.686456\pi\)
\(242\) 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 \(0.134510\pi\)
−0.912036 + 0.410111i \(0.865490\pi\)
\(252\) 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 −0.876854 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
\(262\) 5.85495 25.9574i 0.361720 1.60365i
\(263\) 5.95477 + 3.43799i 0.367187 + 0.211995i 0.672229 0.740343i \(-0.265337\pi\)
−0.305042 + 0.952339i \(0.598670\pi\)
\(264\) −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 0.302012 + 0.953304i \(0.402342\pi\)
−0.976591 + 0.215102i \(0.930991\pi\)
\(270\) 4.06649 18.0284i 0.247479 1.09717i
\(271\) 5.29547 + 9.17203i 0.321677 + 0.557161i 0.980834 0.194844i \(-0.0624201\pi\)
−0.659157 + 0.752005i \(0.729087\pi\)
\(272\) 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 −0.0858360 0.996309i \(-0.527356\pi\)
−0.905747 + 0.423818i \(0.860689\pi\)
\(278\) 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 0.514365 0.857571i \(-0.328028\pi\)
−0.485496 + 0.874239i \(0.661361\pi\)
\(284\) 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 \(-0.914296\pi\)
0.963971 0.266006i \(-0.0857041\pi\)
\(308\) 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 −0.933041 0.359769i \(-0.882855\pi\)
0.778090 + 0.628153i \(0.216189\pi\)
\(312\) 5.15281 + 12.8392i 0.291720 + 0.726879i
\(313\) −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 −0.999518 0.0310291i \(-0.990122\pi\)
−0.472887 + 0.881123i \(0.656788\pi\)
\(318\) 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 0.873141 0.487468i \(-0.162079\pi\)
−0.858730 + 0.512428i \(0.828746\pi\)
\(332\) −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 −0.714050 0.700095i \(-0.753141\pi\)
0.963325 + 0.268337i \(0.0864742\pi\)
\(348\) 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 0.155018 0.987912i \(-0.450457\pi\)
−0.778048 + 0.628205i \(0.783790\pi\)
\(354\) 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 −0.961606 0.274435i \(-0.911509\pi\)
−0.243135 + 0.969992i \(0.578176\pi\)
\(360\) −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 −0.141889 + 0.989883i \(0.545318\pi\)
−0.786319 + 0.617821i \(0.788016\pi\)
\(368\) −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 0.141712 0.989908i \(-0.454739\pi\)
0.928141 + 0.372228i \(0.121406\pi\)
\(374\) −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 −0.870766 0.491697i \(-0.836377\pi\)
0.00956071 0.999954i \(-0.496957\pi\)
\(384\) 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 0.999470 0.0325451i \(-0.0103612\pi\)
0.471550 + 0.881839i \(0.343695\pi\)
\(390\) 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 0.804312 0.594208i \(-0.202534\pi\)
−0.916755 + 0.399450i \(0.869201\pi\)
\(398\) −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 \(-0.449163\pi\)
\(402\) 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 −0.179117 0.983828i \(-0.557324\pi\)
−0.941579 + 0.336794i \(0.890658\pi\)
\(410\) 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 \(-0.971072\pi\)
0.995873 0.0907540i \(-0.0289277\pi\)
\(420\) 5.37409 15.9436i 0.262229 0.777969i
\(421\) 9.89335i 0.482172i 0.970504 + 0.241086i \(0.0775037\pi\)
−0.970504 + 0.241086i \(0.922496\pi\)
\(422\) 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 0.924222 0.381857i \(-0.124715\pi\)
0.131413 + 0.991328i \(0.458049\pi\)
\(432\) −8.31811 51.6070i −0.400205 2.48294i
\(433\) 3.51643i 0.168989i 0.996424 + 0.0844944i \(0.0269275\pi\)
−0.996424 + 0.0844944i \(0.973073\pi\)
\(434\) −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 0.954092 0.299514i \(-0.0968245\pi\)
−0.736433 + 0.676511i \(0.763491\pi\)
\(440\) 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 \(0.859482\pi\)
\(444\) −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 0.987657 + 0.156630i \(0.0500632\pi\)
−0.358183 + 0.933652i \(0.616603\pi\)
\(458\) −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 \(0.0811645\pi\)
−0.967667 + 0.252232i \(0.918835\pi\)
\(464\) −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 0.241137 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
\(472\) −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 −0.739084 0.673613i \(-0.764741\pi\)
0.952908 + 0.303259i \(0.0980747\pi\)
\(480\) 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 0.799204 0.601060i \(-0.205255\pi\)
−0.120931 + 0.992661i \(0.538588\pi\)
\(488\) 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 0.998581 + 0.0532527i \(0.0169589\pi\)
−0.453172 + 0.891423i \(0.649708\pi\)
\(500\) −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 0.651289 0.758830i \(-0.274229\pi\)
−0.982810 + 0.184618i \(0.940895\pi\)
\(510\) 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 0.768799 0.639490i \(-0.220855\pi\)
−0.169415 + 0.985545i \(0.554188\pi\)
\(522\) −5.18787 + 22.9999i −0.227067 + 1.00668i
\(523\) 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
\(528\) −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 −0.770264 0.637726i \(-0.779875\pi\)
0.167155 + 0.985931i \(0.446542\pi\)
\(542\) 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 −0.998112 0.0614182i \(-0.980438\pi\)
−0.552246 0.833681i \(-0.686229\pi\)
\(558\) −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 0.850669 0.525702i \(-0.176197\pi\)
−0.0299372 + 0.999552i \(0.509531\pi\)
\(564\) −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 −0.980873 0.194650i \(-0.937643\pi\)
0.321864 0.946786i \(-0.395690\pi\)
\(570\) 7.74907 + 1.74788i 0.324573 + 0.0732107i
\(571\) −4.27788 + 7.40950i −0.179024 + 0.310078i −0.941546 0.336883i \(-0.890627\pi\)
0.762523 + 0.646961i \(0.223961\pi\)
\(572\) 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 0.998912 0.0466251i \(-0.0148466\pi\)
0.459078 + 0.888396i \(0.348180\pi\)
\(578\) 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 \(-0.590679\pi\)
0.281038 0.959697i \(-0.409321\pi\)
\(588\) −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 −0.384424 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
\(598\) −3.12985 + 13.8759i −0.127989 + 0.567428i
\(599\) −35.7470 20.6385i −1.46058 0.843268i −0.461544 0.887117i \(-0.652705\pi\)
−0.999038 + 0.0438493i \(0.986038\pi\)
\(600\) 8.90289 + 1.27227i 0.363459 + 0.0519401i
\(601\) 18.4478i 0.752502i 0.926518 + 0.376251i \(0.122787\pi\)
−0.926518 + 0.376251i \(0.877213\pi\)
\(602\) −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 0.932258 0.361793i \(-0.117835\pi\)
−0.779451 + 0.626463i \(0.784502\pi\)
\(608\) 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 0.777633 0.628719i \(-0.216420\pi\)
−0.155670 + 0.987809i \(0.549754\pi\)
\(614\) −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 0.530741 0.847534i \(-0.321914\pi\)
−0.468615 + 0.883402i \(0.655247\pi\)
\(620\) −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 \(0.167278\pi\)
−0.865063 + 0.501663i \(0.832722\pi\)
\(632\) 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 −0.840363 0.542023i \(-0.817658\pi\)
0.889588 + 0.456765i \(0.150992\pi\)
\(642\) −0.413875 0.382059i −0.0163343 0.0150787i
\(643\) 39.1121i 1.54243i −0.636575 0.771215i \(-0.719650\pi\)
0.636575 0.771215i \(-0.280350\pi\)
\(644\) 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 −0.976704 0.214590i \(-0.931158\pi\)
0.674193 + 0.738556i \(0.264492\pi\)
\(648\) 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 −0.525918 0.850536i \(-0.676278\pi\)
0.473627 + 0.880726i \(0.342945\pi\)
\(654\) −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 −0.598560 0.801078i \(-0.704260\pi\)
0.993034 + 0.117829i \(0.0375935\pi\)
\(662\) 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 0.636100 0.771607i \(-0.280547\pi\)
−0.986281 + 0.165075i \(0.947213\pi\)
\(678\) −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 −0.559146 0.829069i \(-0.688871\pi\)
0.997568 + 0.0696995i \(0.0222041\pi\)
\(684\) −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 −0.199802 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
\(696\) 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 \(-0.976692\pi\)
0.997320 0.0731587i \(-0.0233080\pi\)
\(702\) −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 0.0284031 0.999597i \(-0.490958\pi\)
0.879878 + 0.475200i \(0.157624\pi\)
\(710\) 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 0.669565 0.742754i \(-0.266481\pi\)
−0.978026 + 0.208483i \(0.933147\pi\)
\(720\) −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 −0.986923 0.161193i \(-0.948466\pi\)
0.353864 0.935297i \(-0.384867\pi\)
\(734\) 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 0.258879 + 0.965910i \(0.416647\pi\)
−0.965942 + 0.258759i \(0.916687\pi\)
\(740\) −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 \(-0.813223\pi\)
0.832729 0.553681i \(-0.186777\pi\)
\(744\) 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 0.0763147 0.997084i \(-0.475685\pi\)
0.901657 + 0.432451i \(0.142351\pi\)
\(752\) 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 \(0.203223\pi\)
−0.803025 + 0.595945i \(0.796777\pi\)
\(758\) −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 −0.689016 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
\(766\) −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 \(-0.992795\pi\)
0.999744 0.0226318i \(-0.00720453\pi\)
\(770\) −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 −0.993204 0.116387i \(-0.962869\pi\)
0.597396 + 0.801946i \(0.296202\pi\)
\(774\) −13.6676