Properties

Label 280.2.bj.f.171.3
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 171.3
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.f.131.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.938224 - 1.05818i) q^{2} +(-0.219454 - 0.126702i) q^{3} +(-0.239473 + 1.98561i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.0718241 + 0.351096i) q^{6} +(0.978876 + 2.45801i) q^{7} +(2.32581 - 1.60954i) q^{8} +(-1.46789 - 2.54247i) q^{9} +O(q^{10})\) \(q+(-0.938224 - 1.05818i) q^{2} +(-0.219454 - 0.126702i) q^{3} +(-0.239473 + 1.98561i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(0.0718241 + 0.351096i) q^{6} +(0.978876 + 2.45801i) q^{7} +(2.32581 - 1.60954i) q^{8} +(-1.46789 - 2.54247i) q^{9} +(-0.447296 + 1.34161i) q^{10} +(1.81455 - 3.14289i) q^{11} +(0.304134 - 0.405409i) q^{12} +5.36097 q^{13} +(1.68260 - 3.34198i) q^{14} +0.253404i q^{15} +(-3.88531 - 0.951001i) q^{16} +(-4.46956 - 2.58050i) q^{17} +(-1.31316 + 3.93869i) q^{18} +(5.49220 - 3.17092i) q^{19} +(1.83933 - 0.785416i) q^{20} +(0.0966157 - 0.663445i) q^{21} +(-5.02818 + 1.02862i) q^{22} +(0.231195 - 0.133481i) q^{23} +(-0.714340 + 0.0585367i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-5.02979 - 5.67285i) q^{26} +1.50415i q^{27} +(-5.11506 + 1.35504i) q^{28} -2.99647i q^{29} +(0.268146 - 0.237749i) q^{30} +(2.72336 - 4.71700i) q^{31} +(2.63896 + 5.00359i) q^{32} +(-0.796419 + 0.459813i) q^{33} +(1.46282 + 7.15066i) q^{34} +(1.63926 - 2.07674i) q^{35} +(5.39987 - 2.30581i) q^{36} +(-7.48336 + 4.32052i) q^{37} +(-8.50831 - 2.83668i) q^{38} +(-1.17649 - 0.679245i) q^{39} +(-2.55681 - 1.20944i) q^{40} -3.46796i q^{41} +(-0.792689 + 0.520223i) q^{42} +5.33960 q^{43} +(5.80601 + 4.35562i) q^{44} +(-1.46789 + 2.54247i) q^{45} +(-0.358159 - 0.119411i) q^{46} +(2.26364 + 3.92073i) q^{47} +(0.732152 + 0.700977i) q^{48} +(-5.08360 + 4.81217i) q^{49} +(1.38552 - 0.283437i) q^{50} +(0.653908 + 1.13260i) q^{51} +(-1.28381 + 10.6448i) q^{52} +(3.09705 + 1.78808i) q^{53} +(1.59166 - 1.41123i) q^{54} -3.62909 q^{55} +(6.23294 + 4.14131i) q^{56} -1.60705 q^{57} +(-3.17079 + 2.81136i) q^{58} +(6.83489 + 3.94613i) q^{59} +(-0.503161 - 0.0606834i) q^{60} +(-2.63069 - 4.55649i) q^{61} +(-7.54654 + 1.54381i) q^{62} +(4.81251 - 6.09685i) q^{63} +(2.81875 - 7.48697i) q^{64} +(-2.68049 - 4.64274i) q^{65} +(1.23378 + 0.411344i) q^{66} +(0.963653 - 1.66910i) q^{67} +(6.19421 - 8.25684i) q^{68} -0.0676490 q^{69} +(-3.73554 + 0.213818i) q^{70} +15.9319i q^{71} +(-7.50624 - 3.55065i) q^{72} +(7.12385 + 4.11296i) q^{73} +(11.5929 + 3.86510i) q^{74} +(0.219454 - 0.126702i) q^{75} +(4.98099 + 11.6647i) q^{76} +(9.50145 + 1.38367i) q^{77} +(0.385047 + 1.88221i) q^{78} +(-9.94273 + 5.74044i) q^{79} +(1.11906 + 3.84027i) q^{80} +(-4.21310 + 7.29731i) q^{81} +(-3.66971 + 3.25372i) q^{82} +5.75814i q^{83} +(1.29421 + 0.350719i) q^{84} +5.16100i q^{85} +(-5.00973 - 5.65023i) q^{86} +(-0.379658 + 0.657587i) q^{87} +(-0.838327 - 10.2303i) q^{88} +(4.77496 - 2.75683i) q^{89} +(4.06759 - 0.832112i) q^{90} +(5.24773 + 13.1773i) q^{91} +(0.209676 + 0.491029i) q^{92} +(-1.19531 + 0.690110i) q^{93} +(2.02503 - 6.07385i) q^{94} +(-5.49220 - 3.17092i) q^{95} +(0.0548340 - 1.43242i) q^{96} +7.98474i q^{97} +(9.86168 + 0.864454i) q^{98} -10.6542 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.938224 1.05818i −0.663424 0.748243i
\(3\) −0.219454 0.126702i −0.126702 0.0731514i 0.435309 0.900281i \(-0.356639\pi\)
−0.562011 + 0.827130i \(0.689972\pi\)
\(4\) −0.239473 + 1.98561i −0.119737 + 0.992806i
\(5\) −0.500000 0.866025i −0.223607 0.387298i
\(6\) 0.0718241 + 0.351096i 0.0293221 + 0.143334i
\(7\) 0.978876 + 2.45801i 0.369980 + 0.929040i
\(8\) 2.32581 1.60954i 0.822297 0.569059i
\(9\) −1.46789 2.54247i −0.489298 0.847489i
\(10\) −0.447296 + 1.34161i −0.141447 + 0.424255i
\(11\) 1.81455 3.14289i 0.547106 0.947616i −0.451365 0.892339i \(-0.649063\pi\)
0.998471 0.0552761i \(-0.0176039\pi\)
\(12\) 0.304134 0.405409i 0.0877959 0.117031i
\(13\) 5.36097 1.48687 0.743433 0.668810i \(-0.233196\pi\)
0.743433 + 0.668810i \(0.233196\pi\)
\(14\) 1.68260 3.34198i 0.449694 0.893183i
\(15\) 0.253404i 0.0654286i
\(16\) −3.88531 0.951001i −0.971326 0.237750i
\(17\) −4.46956 2.58050i −1.08403 0.625863i −0.152047 0.988373i \(-0.548586\pi\)
−0.931980 + 0.362510i \(0.881920\pi\)
\(18\) −1.31316 + 3.93869i −0.309516 + 0.928358i
\(19\) 5.49220 3.17092i 1.26000 0.727460i 0.286924 0.957953i \(-0.407367\pi\)
0.973074 + 0.230494i \(0.0740341\pi\)
\(20\) 1.83933 0.785416i 0.411286 0.175624i
\(21\) 0.0966157 0.663445i 0.0210833 0.144776i
\(22\) −5.02818 + 1.02862i −1.07201 + 0.219303i
\(23\) 0.231195 0.133481i 0.0482076 0.0278326i −0.475703 0.879606i \(-0.657806\pi\)
0.523910 + 0.851774i \(0.324473\pi\)
\(24\) −0.714340 + 0.0585367i −0.145814 + 0.0119488i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) −5.02979 5.67285i −0.986423 1.11254i
\(27\) 1.50415i 0.289474i
\(28\) −5.11506 + 1.35504i −0.966656 + 0.256079i
\(29\) 2.99647i 0.556430i −0.960519 0.278215i \(-0.910257\pi\)
0.960519 0.278215i \(-0.0897428\pi\)
\(30\) 0.268146 0.237749i 0.0489565 0.0434069i
\(31\) 2.72336 4.71700i 0.489130 0.847199i −0.510791 0.859705i \(-0.670648\pi\)
0.999922 + 0.0125059i \(0.00398086\pi\)
\(32\) 2.63896 + 5.00359i 0.466506 + 0.884518i
\(33\) −0.796419 + 0.459813i −0.138639 + 0.0800431i
\(34\) 1.46282 + 7.15066i 0.250872 + 1.22633i
\(35\) 1.63926 2.07674i 0.277085 0.351032i
\(36\) 5.39987 2.30581i 0.899978 0.384302i
\(37\) −7.48336 + 4.32052i −1.23026 + 0.710289i −0.967083 0.254460i \(-0.918102\pi\)
−0.263173 + 0.964749i \(0.584769\pi\)
\(38\) −8.50831 2.83668i −1.38023 0.460170i
\(39\) −1.17649 0.679245i −0.188389 0.108766i
\(40\) −2.55681 1.20944i −0.404267 0.191229i
\(41\) 3.46796i 0.541604i −0.962635 0.270802i \(-0.912711\pi\)
0.962635 0.270802i \(-0.0872889\pi\)
\(42\) −0.792689 + 0.520223i −0.122315 + 0.0802722i
\(43\) 5.33960 0.814281 0.407140 0.913366i \(-0.366526\pi\)
0.407140 + 0.913366i \(0.366526\pi\)
\(44\) 5.80601 + 4.35562i 0.875289 + 0.656634i
\(45\) −1.46789 + 2.54247i −0.218821 + 0.379008i
\(46\) −0.358159 0.119411i −0.0528076 0.0176061i
\(47\) 2.26364 + 3.92073i 0.330185 + 0.571898i 0.982548 0.186009i \(-0.0595554\pi\)
−0.652363 + 0.757907i \(0.726222\pi\)
\(48\) 0.732152 + 0.700977i 0.105677 + 0.101177i
\(49\) −5.08360 + 4.81217i −0.726229 + 0.687453i
\(50\) 1.38552 0.283437i 0.195942 0.0400841i
\(51\) 0.653908 + 1.13260i 0.0915655 + 0.158596i
\(52\) −1.28381 + 10.6448i −0.178032 + 1.47617i
\(53\) 3.09705 + 1.78808i 0.425413 + 0.245612i 0.697391 0.716691i \(-0.254344\pi\)
−0.271978 + 0.962304i \(0.587678\pi\)
\(54\) 1.59166 1.41123i 0.216597 0.192044i
\(55\) −3.62909 −0.489347
\(56\) 6.23294 + 4.14131i 0.832912 + 0.553405i
\(57\) −1.60705 −0.212859
\(58\) −3.17079 + 2.81136i −0.416345 + 0.369149i
\(59\) 6.83489 + 3.94613i 0.889827 + 0.513742i 0.873886 0.486131i \(-0.161592\pi\)
0.0159410 + 0.999873i \(0.494926\pi\)
\(60\) −0.503161 0.0606834i −0.0649578 0.00783419i
\(61\) −2.63069 4.55649i −0.336825 0.583398i 0.647009 0.762483i \(-0.276020\pi\)
−0.983834 + 0.179084i \(0.942686\pi\)
\(62\) −7.54654 + 1.54381i −0.958412 + 0.196064i
\(63\) 4.81251 6.09685i 0.606320 0.768131i
\(64\) 2.81875 7.48697i 0.352343 0.935871i
\(65\) −2.68049 4.64274i −0.332473 0.575861i
\(66\) 1.23378 + 0.411344i 0.151868 + 0.0506330i
\(67\) 0.963653 1.66910i 0.117729 0.203913i −0.801138 0.598479i \(-0.795772\pi\)
0.918867 + 0.394567i \(0.129105\pi\)
\(68\) 6.19421 8.25684i 0.751158 1.00129i
\(69\) −0.0676490 −0.00814398
\(70\) −3.73554 + 0.213818i −0.446483 + 0.0255561i
\(71\) 15.9319i 1.89077i 0.325956 + 0.945385i \(0.394314\pi\)
−0.325956 + 0.945385i \(0.605686\pi\)
\(72\) −7.50624 3.55065i −0.884619 0.418448i
\(73\) 7.12385 + 4.11296i 0.833783 + 0.481385i 0.855146 0.518387i \(-0.173467\pi\)
−0.0213629 + 0.999772i \(0.506801\pi\)
\(74\) 11.5929 + 3.86510i 1.34765 + 0.449308i
\(75\) 0.219454 0.126702i 0.0253404 0.0146303i
\(76\) 4.98099 + 11.6647i 0.571358 + 1.33804i
\(77\) 9.50145 + 1.38367i 1.08279 + 0.157684i
\(78\) 0.385047 + 1.88221i 0.0435980 + 0.213119i
\(79\) −9.94273 + 5.74044i −1.11864 + 0.645849i −0.941054 0.338255i \(-0.890163\pi\)
−0.177590 + 0.984105i \(0.556830\pi\)
\(80\) 1.11906 + 3.84027i 0.125115 + 0.429356i
\(81\) −4.21310 + 7.29731i −0.468122 + 0.810812i
\(82\) −3.66971 + 3.25372i −0.405252 + 0.359313i
\(83\) 5.75814i 0.632039i 0.948753 + 0.316019i \(0.102346\pi\)
−0.948753 + 0.316019i \(0.897654\pi\)
\(84\) 1.29421 + 0.350719i 0.141210 + 0.0382665i
\(85\) 5.16100i 0.559789i
\(86\) −5.00973 5.65023i −0.540213 0.609280i
\(87\) −0.379658 + 0.657587i −0.0407036 + 0.0705007i
\(88\) −0.838327 10.2303i −0.0893659 1.09056i
\(89\) 4.77496 2.75683i 0.506145 0.292223i −0.225103 0.974335i \(-0.572272\pi\)
0.731248 + 0.682112i \(0.238938\pi\)
\(90\) 4.06759 0.832112i 0.428761 0.0877123i
\(91\) 5.24773 + 13.1773i 0.550111 + 1.38136i
\(92\) 0.209676 + 0.491029i 0.0218602 + 0.0511933i
\(93\) −1.19531 + 0.690110i −0.123947 + 0.0715611i
\(94\) 2.02503 6.07385i 0.208866 0.626470i
\(95\) −5.49220 3.17092i −0.563488 0.325330i
\(96\) 0.0548340 1.43242i 0.00559647 0.146196i
\(97\) 7.98474i 0.810727i 0.914156 + 0.405364i \(0.132855\pi\)
−0.914156 + 0.405364i \(0.867145\pi\)
\(98\) 9.86168 + 0.864454i 0.996180 + 0.0873231i
\(99\) −10.6542 −1.07079
\(100\) −1.59985 1.20020i −0.159985 0.120020i
\(101\) 4.74975 8.22681i 0.472618 0.818598i −0.526891 0.849933i \(-0.676642\pi\)
0.999509 + 0.0313347i \(0.00997577\pi\)
\(102\) 0.584981 1.75458i 0.0579217 0.173730i
\(103\) −3.75103 6.49697i −0.369600 0.640166i 0.619903 0.784678i \(-0.287172\pi\)
−0.989503 + 0.144513i \(0.953839\pi\)
\(104\) 12.4686 8.62871i 1.22264 0.846115i
\(105\) −0.622868 + 0.248051i −0.0607857 + 0.0242073i
\(106\) −1.01362 4.95485i −0.0984515 0.481258i
\(107\) −3.73750 6.47354i −0.361318 0.625821i 0.626860 0.779132i \(-0.284340\pi\)
−0.988178 + 0.153311i \(0.951006\pi\)
\(108\) −2.98666 0.360204i −0.287391 0.0346606i
\(109\) −16.8873 9.74989i −1.61751 0.933870i −0.987561 0.157234i \(-0.949742\pi\)
−0.629949 0.776636i \(-0.716924\pi\)
\(110\) 3.40490 + 3.84022i 0.324644 + 0.366150i
\(111\) 2.18967 0.207834
\(112\) −1.46566 10.4810i −0.138492 0.990364i
\(113\) −20.8176 −1.95836 −0.979179 0.202997i \(-0.934932\pi\)
−0.979179 + 0.202997i \(0.934932\pi\)
\(114\) 1.50777 + 1.70054i 0.141216 + 0.159270i
\(115\) −0.231195 0.133481i −0.0215591 0.0124471i
\(116\) 5.94982 + 0.717574i 0.552427 + 0.0666251i
\(117\) −7.86933 13.6301i −0.727520 1.26010i
\(118\) −2.23696 10.9349i −0.205929 1.00664i
\(119\) 1.96774 13.5122i 0.180383 1.23866i
\(120\) 0.407864 + 0.589368i 0.0372327 + 0.0538017i
\(121\) −1.08515 1.87954i −0.0986502 0.170867i
\(122\) −2.35339 + 7.05874i −0.213066 + 0.639068i
\(123\) −0.439397 + 0.761058i −0.0396191 + 0.0686223i
\(124\) 8.71396 + 6.53714i 0.782537 + 0.587052i
\(125\) 1.00000 0.0894427
\(126\) −10.9668 + 0.627723i −0.976996 + 0.0559220i
\(127\) 8.44123i 0.749038i 0.927219 + 0.374519i \(0.122192\pi\)
−0.927219 + 0.374519i \(0.877808\pi\)
\(128\) −10.5671 + 4.04172i −0.934012 + 0.357241i
\(129\) −1.17180 0.676537i −0.103171 0.0595657i
\(130\) −2.39794 + 7.19235i −0.210313 + 0.630811i
\(131\) −4.74957 + 2.74216i −0.414972 + 0.239584i −0.692924 0.721011i \(-0.743678\pi\)
0.277952 + 0.960595i \(0.410344\pi\)
\(132\) −0.722288 1.69149i −0.0628671 0.147225i
\(133\) 13.1703 + 10.3959i 1.14201 + 0.901441i
\(134\) −2.67032 + 0.546271i −0.230681 + 0.0471906i
\(135\) 1.30263 0.752075i 0.112113 0.0647283i
\(136\) −14.5487 + 1.19220i −1.24754 + 0.102230i
\(137\) 4.21281 7.29680i 0.359925 0.623408i −0.628023 0.778195i \(-0.716136\pi\)
0.987948 + 0.154787i \(0.0494691\pi\)
\(138\) 0.0634699 + 0.0715845i 0.00540291 + 0.00609368i
\(139\) 11.5832i 0.982472i −0.871027 0.491236i \(-0.836545\pi\)
0.871027 0.491236i \(-0.163455\pi\)
\(140\) 3.73103 + 3.75225i 0.315330 + 0.317123i
\(141\) 1.14723i 0.0966140i
\(142\) 16.8588 14.9477i 1.41476 1.25438i
\(143\) 9.72773 16.8489i 0.813473 1.40898i
\(144\) 3.28532 + 11.2742i 0.273777 + 0.939519i
\(145\) −2.59502 + 1.49823i −0.215504 + 0.124422i
\(146\) −2.33153 11.3972i −0.192959 0.943235i
\(147\) 1.72533 0.411949i 0.142303 0.0339769i
\(148\) −6.78681 15.8937i −0.557872 1.30645i
\(149\) −10.0102 + 5.77937i −0.820065 + 0.473465i −0.850439 0.526074i \(-0.823664\pi\)
0.0303740 + 0.999539i \(0.490330\pi\)
\(150\) −0.339970 0.113346i −0.0277584 0.00925469i
\(151\) 13.9344 + 8.04501i 1.13396 + 0.654694i 0.944929 0.327276i \(-0.106131\pi\)
0.189035 + 0.981970i \(0.439464\pi\)
\(152\) 7.67006 16.2149i 0.622124 1.31520i
\(153\) 15.1516i 1.22493i
\(154\) −7.45032 11.3524i −0.600364 0.914803i
\(155\) −5.44673 −0.437492
\(156\) 1.63045 2.17338i 0.130541 0.174010i
\(157\) 1.07894 1.86877i 0.0861086 0.149144i −0.819754 0.572715i \(-0.805890\pi\)
0.905863 + 0.423571i \(0.139223\pi\)
\(158\) 15.4029 + 5.13534i 1.22539 + 0.408546i
\(159\) −0.453107 0.784805i −0.0359337 0.0622391i
\(160\) 3.01376 4.78720i 0.238258 0.378461i
\(161\) 0.554408 + 0.437619i 0.0436935 + 0.0344892i
\(162\) 11.6747 2.38830i 0.917248 0.187643i
\(163\) 0.598474 + 1.03659i 0.0468761 + 0.0811918i 0.888511 0.458854i \(-0.151740\pi\)
−0.841635 + 0.540046i \(0.818407\pi\)
\(164\) 6.88602 + 0.830483i 0.537708 + 0.0648498i
\(165\) 0.796419 + 0.459813i 0.0620011 + 0.0357964i
\(166\) 6.09313 5.40243i 0.472919 0.419310i
\(167\) −13.0622 −1.01079 −0.505393 0.862889i \(-0.668653\pi\)
−0.505393 + 0.862889i \(0.668653\pi\)
\(168\) −0.843134 1.69855i −0.0650492 0.131046i
\(169\) 15.7400 1.21077
\(170\) 5.46125 4.84217i 0.418858 0.371378i
\(171\) −16.1239 9.30916i −1.23303 0.711889i
\(172\) −1.27869 + 10.6024i −0.0974992 + 0.808422i
\(173\) 12.3607 + 21.4093i 0.939764 + 1.62772i 0.765910 + 0.642948i \(0.222289\pi\)
0.173854 + 0.984771i \(0.444378\pi\)
\(174\) 1.05205 0.215219i 0.0797555 0.0163157i
\(175\) −2.61814 0.381272i −0.197912 0.0288215i
\(176\) −10.0390 + 10.4854i −0.756714 + 0.790369i
\(177\) −0.999963 1.73199i −0.0751618 0.130184i
\(178\) −7.39719 2.46623i −0.554443 0.184852i
\(179\) −6.48006 + 11.2238i −0.484342 + 0.838905i −0.999838 0.0179868i \(-0.994274\pi\)
0.515496 + 0.856892i \(0.327608\pi\)
\(180\) −4.69683 3.52352i −0.350081 0.262628i
\(181\) 10.5665 0.785403 0.392702 0.919666i \(-0.371541\pi\)
0.392702 + 0.919666i \(0.371541\pi\)
\(182\) 9.02037 17.9163i 0.668634 1.32804i
\(183\) 1.33325i 0.0985569i
\(184\) 0.322873 0.682569i 0.0238025 0.0503196i
\(185\) 7.48336 + 4.32052i 0.550187 + 0.317651i
\(186\) 1.85172 + 0.617367i 0.135775 + 0.0452675i
\(187\) −16.2204 + 9.36487i −1.18616 + 0.684827i
\(188\) −8.32713 + 3.55579i −0.607318 + 0.259333i
\(189\) −3.69721 + 1.47238i −0.268933 + 0.107100i
\(190\) 1.79752 + 8.78675i 0.130406 + 0.637458i
\(191\) 3.42981 1.98020i 0.248173 0.143282i −0.370755 0.928731i \(-0.620901\pi\)
0.618927 + 0.785448i \(0.287568\pi\)
\(192\) −1.56720 + 1.28590i −0.113103 + 0.0928022i
\(193\) 7.14531 12.3760i 0.514330 0.890846i −0.485531 0.874219i \(-0.661374\pi\)
0.999862 0.0166270i \(-0.00529279\pi\)
\(194\) 8.44926 7.49147i 0.606621 0.537856i
\(195\) 1.35849i 0.0972835i
\(196\) −8.33771 11.2464i −0.595551 0.803317i
\(197\) 4.05223i 0.288709i −0.989526 0.144355i \(-0.953889\pi\)
0.989526 0.144355i \(-0.0461106\pi\)
\(198\) 9.99606 + 11.2741i 0.710389 + 0.801212i
\(199\) −1.37120 + 2.37499i −0.0972020 + 0.168359i −0.910525 0.413453i \(-0.864323\pi\)
0.813324 + 0.581812i \(0.197656\pi\)
\(200\) 0.231002 + 2.81898i 0.0163343 + 0.199332i
\(201\) −0.422955 + 0.244193i −0.0298330 + 0.0172241i
\(202\) −13.1617 + 2.69251i −0.926057 + 0.189445i
\(203\) 7.36534 2.93317i 0.516946 0.205868i
\(204\) −2.40550 + 1.02718i −0.168419 + 0.0719170i
\(205\) −3.00334 + 1.73398i −0.209762 + 0.121106i
\(206\) −3.35564 + 10.0649i −0.233798 + 0.701252i
\(207\) −0.678740 0.391871i −0.0471757 0.0272369i
\(208\) −20.8290 5.09829i −1.44423 0.353503i
\(209\) 23.0151i 1.59199i
\(210\) 0.846871 + 0.426377i 0.0584397 + 0.0294228i
\(211\) −2.41112 −0.165988 −0.0829942 0.996550i \(-0.526448\pi\)
−0.0829942 + 0.996550i \(0.526448\pi\)
\(212\) −4.29210 + 5.72135i −0.294783 + 0.392944i
\(213\) 2.01860 3.49632i 0.138312 0.239564i
\(214\) −3.34354 + 10.0286i −0.228559 + 0.685539i
\(215\) −2.66980 4.62422i −0.182079 0.315370i
\(216\) 2.42099 + 3.49836i 0.164728 + 0.238033i
\(217\) 14.2603 + 2.07668i 0.968050 + 0.140975i
\(218\) 5.52697 + 27.0173i 0.374333 + 1.82984i
\(219\) −1.04224 1.80521i −0.0704279 0.121985i
\(220\) 0.869070 7.20596i 0.0585927 0.485826i
\(221\) −23.9612 13.8340i −1.61180 0.930575i
\(222\) −2.05440 2.31706i −0.137882 0.155511i
\(223\) −19.8843 −1.33155 −0.665774 0.746153i \(-0.731899\pi\)
−0.665774 + 0.746153i \(0.731899\pi\)
\(224\) −9.71565 + 11.3845i −0.649154 + 0.760657i
\(225\) 2.93579 0.195719
\(226\) 19.5316 + 22.0287i 1.29922 + 1.46533i
\(227\) 21.4464 + 12.3821i 1.42345 + 0.821827i 0.996592 0.0824926i \(-0.0262881\pi\)
0.426855 + 0.904320i \(0.359621\pi\)
\(228\) 0.384845 3.19097i 0.0254870 0.211327i
\(229\) 5.98187 + 10.3609i 0.395293 + 0.684668i 0.993139 0.116943i \(-0.0373096\pi\)
−0.597845 + 0.801612i \(0.703976\pi\)
\(230\) 0.0756668 + 0.369880i 0.00498932 + 0.0243892i
\(231\) −1.90982 1.50750i −0.125657 0.0991865i
\(232\) −4.82294 6.96920i −0.316642 0.457551i
\(233\) 5.54956 + 9.61212i 0.363564 + 0.629711i 0.988545 0.150929i \(-0.0482265\pi\)
−0.624981 + 0.780640i \(0.714893\pi\)
\(234\) −7.03984 + 21.1152i −0.460208 + 1.38034i
\(235\) 2.26364 3.92073i 0.147663 0.255760i
\(236\) −9.47224 + 12.6264i −0.616591 + 0.821912i
\(237\) 2.90930 0.188979
\(238\) −16.1445 + 10.5952i −1.04649 + 0.686787i
\(239\) 24.8172i 1.60529i 0.596455 + 0.802646i \(0.296575\pi\)
−0.596455 + 0.802646i \(0.703425\pi\)
\(240\) 0.240987 0.984551i 0.0155557 0.0635525i
\(241\) 9.84971 + 5.68673i 0.634475 + 0.366315i 0.782483 0.622672i \(-0.213953\pi\)
−0.148008 + 0.988986i \(0.547286\pi\)
\(242\) −0.970767 + 2.91171i −0.0624033 + 0.187172i
\(243\) 5.75706 3.32384i 0.369316 0.213225i
\(244\) 9.67739 4.13237i 0.619532 0.264548i
\(245\) 6.70926 + 1.99644i 0.428639 + 0.127548i
\(246\) 1.21759 0.249083i 0.0776304 0.0158810i
\(247\) 29.4435 16.9992i 1.87345 1.08164i
\(248\) −1.25820 15.3542i −0.0798960 0.974993i
\(249\) 0.729568 1.26365i 0.0462345 0.0800805i
\(250\) −0.938224 1.05818i −0.0593385 0.0669249i
\(251\) 8.98434i 0.567087i −0.958959 0.283543i \(-0.908490\pi\)
0.958959 0.283543i \(-0.0915100\pi\)
\(252\) 10.9535 + 11.0158i 0.690006 + 0.693931i
\(253\) 0.968827i 0.0609096i
\(254\) 8.93231 7.91977i 0.560463 0.496930i
\(255\) 0.653908 1.13260i 0.0409493 0.0709263i
\(256\) 14.1912 + 7.38986i 0.886950 + 0.461866i
\(257\) −2.10401 + 1.21475i −0.131244 + 0.0757740i −0.564185 0.825649i \(-0.690809\pi\)
0.432940 + 0.901423i \(0.357476\pi\)
\(258\) 0.383512 + 1.87471i 0.0238764 + 0.116714i
\(259\) −17.9451 14.1649i −1.11506 0.880164i
\(260\) 9.86058 4.21059i 0.611527 0.261130i
\(261\) −7.61842 + 4.39850i −0.471568 + 0.272260i
\(262\) 7.35785 + 2.45312i 0.454569 + 0.151554i
\(263\) −1.99243 1.15033i −0.122858 0.0709323i 0.437311 0.899310i \(-0.355931\pi\)
−0.560170 + 0.828378i \(0.689264\pi\)
\(264\) −1.11223 + 2.35130i −0.0684529 + 0.144713i
\(265\) 3.57617i 0.219682i
\(266\) −1.35600 23.6902i −0.0831417 1.45254i
\(267\) −1.39718 −0.0855060
\(268\) 3.08341 + 2.31315i 0.188349 + 0.141298i
\(269\) 0.609154 1.05509i 0.0371408 0.0643297i −0.846857 0.531820i \(-0.821508\pi\)
0.883998 + 0.467490i \(0.154842\pi\)
\(270\) −2.01799 0.672800i −0.122811 0.0409453i
\(271\) 12.1092 + 20.9738i 0.735582 + 1.27406i 0.954468 + 0.298314i \(0.0964244\pi\)
−0.218886 + 0.975750i \(0.570242\pi\)
\(272\) 14.9115 + 14.2766i 0.904145 + 0.865645i
\(273\) 0.517954 3.55671i 0.0313480 0.215262i
\(274\) −11.6739 + 2.38814i −0.705243 + 0.144273i
\(275\) 1.81455 + 3.14289i 0.109421 + 0.189523i
\(276\) 0.0162001 0.134325i 0.000975133 0.00808539i
\(277\) −7.22720 4.17263i −0.434240 0.250709i 0.266911 0.963721i \(-0.413997\pi\)
−0.701151 + 0.713012i \(0.747330\pi\)
\(278\) −12.2570 + 10.8676i −0.735128 + 0.651795i
\(279\) −15.9904 −0.957322
\(280\) 0.470004 7.46854i 0.0280881 0.446331i
\(281\) 19.8252 1.18267 0.591337 0.806425i \(-0.298600\pi\)
0.591337 + 0.806425i \(0.298600\pi\)
\(282\) −1.21397 + 1.07636i −0.0722908 + 0.0640961i
\(283\) −8.33705 4.81340i −0.495586 0.286127i 0.231303 0.972882i \(-0.425701\pi\)
−0.726889 + 0.686755i \(0.759035\pi\)
\(284\) −31.6346 3.81526i −1.87717 0.226394i
\(285\) 0.803524 + 1.39174i 0.0475966 + 0.0824398i
\(286\) −26.9559 + 5.51440i −1.59394 + 0.326073i
\(287\) 8.52427 3.39470i 0.503172 0.200383i
\(288\) 8.84774 14.0542i 0.521358 0.828151i
\(289\) 4.81796 + 8.34495i 0.283409 + 0.490879i
\(290\) 4.02010 + 1.34031i 0.236069 + 0.0787055i
\(291\) 1.01168 1.75228i 0.0593058 0.102721i
\(292\) −9.87270 + 13.1603i −0.577756 + 0.770145i
\(293\) 0.487956 0.0285067 0.0142534 0.999898i \(-0.495463\pi\)
0.0142534 + 0.999898i \(0.495463\pi\)
\(294\) −2.05466 1.43920i −0.119830 0.0839359i
\(295\) 7.89225i 0.459505i
\(296\) −10.4508 + 22.0935i −0.607439 + 1.28416i
\(297\) 4.72737 + 2.72935i 0.274310 + 0.158373i
\(298\) 15.5074 + 5.17018i 0.898318 + 0.299500i
\(299\) 1.23943 0.715586i 0.0716782 0.0413834i
\(300\) 0.199027 + 0.466092i 0.0114908 + 0.0269098i
\(301\) 5.22680 + 13.1248i 0.301268 + 0.756499i
\(302\) −4.56052 22.2930i −0.262428 1.28282i
\(303\) −2.08470 + 1.20360i −0.119763 + 0.0691453i
\(304\) −24.3544 + 7.09692i −1.39682 + 0.407036i
\(305\) −2.63069 + 4.55649i −0.150633 + 0.260904i
\(306\) 16.0331 14.2156i 0.916549 0.812651i
\(307\) 11.8335i 0.675376i −0.941258 0.337688i \(-0.890355\pi\)
0.941258 0.337688i \(-0.109645\pi\)
\(308\) −5.02278 + 18.5348i −0.286199 + 1.05612i
\(309\) 1.90105i 0.108147i
\(310\) 5.11025 + 5.76360i 0.290243 + 0.327350i
\(311\) 2.29486 3.97481i 0.130129 0.225391i −0.793597 0.608444i \(-0.791794\pi\)
0.923726 + 0.383053i \(0.125127\pi\)
\(312\) −3.82955 + 0.313814i −0.216806 + 0.0177662i
\(313\) 17.7907 10.2714i 1.00559 0.580577i 0.0956913 0.995411i \(-0.469494\pi\)
0.909897 + 0.414834i \(0.136160\pi\)
\(314\) −2.98978 + 0.611622i −0.168723 + 0.0345159i
\(315\) −7.68629 1.11933i −0.433073 0.0630673i
\(316\) −9.01726 21.1171i −0.507260 1.18793i
\(317\) 6.76332 3.90481i 0.379866 0.219316i −0.297894 0.954599i \(-0.596284\pi\)
0.677760 + 0.735283i \(0.262951\pi\)
\(318\) −0.405346 + 1.21579i −0.0227307 + 0.0681781i
\(319\) −9.41755 5.43723i −0.527282 0.304426i
\(320\) −7.89328 + 1.30238i −0.441248 + 0.0728051i
\(321\) 1.89419i 0.105724i
\(322\) −0.0570811 0.997246i −0.00318100 0.0555743i
\(323\) −32.7303 −1.82116
\(324\) −13.4807 10.1131i −0.748927 0.561838i
\(325\) −2.68049 + 4.64274i −0.148687 + 0.257533i
\(326\) 0.535389 1.60584i 0.0296525 0.0889393i
\(327\) 2.47066 + 4.27931i 0.136628 + 0.236646i
\(328\) −5.58183 8.06580i −0.308205 0.445359i
\(329\) −7.42137 + 9.40195i −0.409153 + 0.518346i
\(330\) −0.260656 1.27416i −0.0143486 0.0701401i
\(331\) 6.35126 + 11.0007i 0.349097 + 0.604654i 0.986089 0.166216i \(-0.0531550\pi\)
−0.636992 + 0.770870i \(0.719822\pi\)
\(332\) −11.4334 1.37892i −0.627491 0.0756781i
\(333\) 21.9695 + 12.6841i 1.20392 + 0.695085i
\(334\) 12.2553 + 13.8222i 0.670580 + 0.756314i
\(335\) −1.92731 −0.105300
\(336\) −1.00632 + 2.48581i −0.0548992 + 0.135612i
\(337\) 13.8789 0.756033 0.378016 0.925799i \(-0.376606\pi\)
0.378016 + 0.925799i \(0.376606\pi\)
\(338\) −14.7676 16.6557i −0.803254 0.905951i
\(339\) 4.56852 + 2.63763i 0.248128 + 0.143257i
\(340\) −10.2477 1.23592i −0.555762 0.0670272i
\(341\) −9.88333 17.1184i −0.535213 0.927015i
\(342\) 5.27713 + 25.7960i 0.285354 + 1.39489i
\(343\) −16.8046 7.78501i −0.907362 0.420351i
\(344\) 12.4189 8.59431i 0.669580 0.463374i
\(345\) 0.0338245 + 0.0585857i 0.00182105 + 0.00315415i
\(346\) 11.0577 33.1665i 0.594468 1.78304i
\(347\) −6.43516 + 11.1460i −0.345457 + 0.598350i −0.985437 0.170042i \(-0.945610\pi\)
0.639979 + 0.768392i \(0.278943\pi\)
\(348\) −1.21479 0.911328i −0.0651198 0.0488523i
\(349\) 21.0526 1.12692 0.563460 0.826143i \(-0.309470\pi\)
0.563460 + 0.826143i \(0.309470\pi\)
\(350\) 2.05294 + 3.12817i 0.109734 + 0.167208i
\(351\) 8.06371i 0.430409i
\(352\) 20.5142 + 0.785299i 1.09341 + 0.0418566i
\(353\) −25.8483 14.9235i −1.37577 0.794298i −0.384119 0.923284i \(-0.625495\pi\)
−0.991647 + 0.128985i \(0.958828\pi\)
\(354\) −0.894558 + 2.68313i −0.0475452 + 0.142607i
\(355\) 13.7974 7.96595i 0.732292 0.422789i
\(356\) 4.33051 + 10.1414i 0.229517 + 0.537493i
\(357\) −2.14385 + 2.71599i −0.113465 + 0.143745i
\(358\) 17.9565 3.67338i 0.949030 0.194144i
\(359\) 16.5346 9.54628i 0.872665 0.503833i 0.00443178 0.999990i \(-0.498589\pi\)
0.868233 + 0.496157i \(0.165256\pi\)
\(360\) 0.678172 + 8.27592i 0.0357428 + 0.436179i
\(361\) 10.6095 18.3762i 0.558396 0.967169i
\(362\) −9.91376 11.1812i −0.521055 0.587673i
\(363\) 0.549963i 0.0288656i
\(364\) −27.4217 + 7.26434i −1.43729 + 0.380755i
\(365\) 8.22591i 0.430564i
\(366\) 1.41082 1.25089i 0.0737445 0.0653850i
\(367\) 4.90832 8.50146i 0.256212 0.443773i −0.709012 0.705197i \(-0.750859\pi\)
0.965224 + 0.261424i \(0.0841921\pi\)
\(368\) −1.02520 + 0.298746i −0.0534425 + 0.0155732i
\(369\) −8.81717 + 5.09059i −0.459003 + 0.265006i
\(370\) −2.44919 11.9723i −0.127327 0.622411i
\(371\) −1.36349 + 9.36290i −0.0707890 + 0.486097i
\(372\) −1.08405 2.53868i −0.0562052 0.131624i
\(373\) −20.2929 + 11.7161i −1.05072 + 0.606636i −0.922852 0.385154i \(-0.874148\pi\)
−0.127873 + 0.991791i \(0.540815\pi\)
\(374\) 25.1281 + 8.37773i 1.29934 + 0.433202i
\(375\) −0.219454 0.126702i −0.0113326 0.00654286i
\(376\) 11.5754 + 5.47544i 0.596954 + 0.282374i
\(377\) 16.0640i 0.827337i
\(378\) 5.02685 + 2.53088i 0.258553 + 0.130175i
\(379\) 10.7259 0.550954 0.275477 0.961308i \(-0.411164\pi\)
0.275477 + 0.961308i \(0.411164\pi\)
\(380\) 7.61146 10.1460i 0.390460 0.520480i
\(381\) 1.06952 1.85246i 0.0547932 0.0949046i
\(382\) −5.31333 1.77147i −0.271854 0.0906364i
\(383\) 0.700673 + 1.21360i 0.0358027 + 0.0620122i 0.883372 0.468673i \(-0.155268\pi\)
−0.847569 + 0.530686i \(0.821935\pi\)
\(384\) 2.83110 + 0.451905i 0.144474 + 0.0230612i
\(385\) −3.55243 8.92033i −0.181049 0.454622i
\(386\) −19.7999 + 4.05049i −1.00779 + 0.206165i
\(387\) −7.83796 13.5757i −0.398426 0.690094i
\(388\) −15.8546 1.91213i −0.804895 0.0970737i
\(389\) 2.49049 + 1.43789i 0.126273 + 0.0729037i 0.561806 0.827269i \(-0.310107\pi\)
−0.435533 + 0.900173i \(0.643440\pi\)
\(390\) 1.43752 1.27457i 0.0727917 0.0645402i
\(391\) −1.37779 −0.0696777
\(392\) −4.07808 + 19.3744i −0.205974 + 0.978557i
\(393\) 1.38975 0.0701036
\(394\) −4.28797 + 3.80189i −0.216025 + 0.191537i
\(395\) 9.94273 + 5.74044i 0.500273 + 0.288833i
\(396\) 2.55140 21.1552i 0.128213 1.06309i
\(397\) −1.26251 2.18672i −0.0633633 0.109749i 0.832603 0.553870i \(-0.186849\pi\)
−0.895967 + 0.444121i \(0.853516\pi\)
\(398\) 3.79965 0.777300i 0.190459 0.0389625i
\(399\) −1.57310 3.95014i −0.0787536 0.197754i
\(400\) 2.76624 2.88927i 0.138312 0.144464i
\(401\) −19.3792 33.5657i −0.967749 1.67619i −0.702041 0.712136i \(-0.747728\pi\)
−0.265707 0.964054i \(-0.585606\pi\)
\(402\) 0.655226 + 0.218453i 0.0326797 + 0.0108955i
\(403\) 14.5999 25.2877i 0.727271 1.25967i
\(404\) 15.1978 + 11.4013i 0.756119 + 0.567234i
\(405\) 8.42620 0.418701
\(406\) −10.0141 5.04186i −0.496994 0.250223i
\(407\) 31.3591i 1.55441i
\(408\) 3.34384 + 1.58172i 0.165545 + 0.0783068i
\(409\) 2.68850 + 1.55221i 0.132938 + 0.0767518i 0.564994 0.825095i \(-0.308878\pi\)
−0.432056 + 0.901847i \(0.642212\pi\)
\(410\) 4.65266 + 1.55120i 0.229779 + 0.0766084i
\(411\) −1.84904 + 1.06754i −0.0912062 + 0.0526579i
\(412\) 13.7987 5.89223i 0.679815 0.290289i
\(413\) −3.00909 + 20.6630i −0.148068 + 1.01676i
\(414\) 0.222142 + 1.08589i 0.0109177 + 0.0533685i
\(415\) 4.98670 2.87907i 0.244787 0.141328i
\(416\) 14.1474 + 26.8241i 0.693632 + 1.31516i
\(417\) −1.46761 + 2.54197i −0.0718691 + 0.124481i
\(418\) −24.3541 + 21.5933i −1.19120 + 1.05617i
\(419\) 11.1649i 0.545441i 0.962093 + 0.272720i \(0.0879234\pi\)
−0.962093 + 0.272720i \(0.912077\pi\)
\(420\) −0.343372 1.29618i −0.0167549 0.0632469i
\(421\) 35.1106i 1.71119i −0.517648 0.855594i \(-0.673192\pi\)
0.517648 0.855594i \(-0.326808\pi\)
\(422\) 2.26217 + 2.55139i 0.110121 + 0.124200i
\(423\) 6.64555 11.5104i 0.323118 0.559656i
\(424\) 10.0811 0.826102i 0.489584 0.0401190i
\(425\) 4.46956 2.58050i 0.216805 0.125173i
\(426\) −5.59362 + 1.14429i −0.271012 + 0.0554413i
\(427\) 8.62476 10.9265i 0.417381 0.528770i
\(428\) 13.7490 5.87099i 0.664582 0.283785i
\(429\) −4.26958 + 2.46504i −0.206137 + 0.119013i
\(430\) −2.38838 + 7.16367i −0.115178 + 0.345463i
\(431\) −12.4675 7.19809i −0.600536 0.346720i 0.168716 0.985665i \(-0.446038\pi\)
−0.769253 + 0.638945i \(0.779371\pi\)
\(432\) 1.43045 5.84408i 0.0688225 0.281174i
\(433\) 36.8668i 1.77171i 0.463967 + 0.885853i \(0.346426\pi\)
−0.463967 + 0.885853i \(0.653574\pi\)
\(434\) −11.1818 17.0383i −0.536744 0.817863i
\(435\) 0.759316 0.0364064
\(436\) 23.4036 31.1968i 1.12083 1.49406i
\(437\) 0.846514 1.46621i 0.0404943 0.0701381i
\(438\) −0.932377 + 2.79656i −0.0445507 + 0.133625i
\(439\) 18.4785 + 32.0057i 0.881930 + 1.52755i 0.849193 + 0.528083i \(0.177089\pi\)
0.0327369 + 0.999464i \(0.489578\pi\)
\(440\) −8.44056 + 5.84118i −0.402388 + 0.278467i
\(441\) 19.6970 + 5.86113i 0.937951 + 0.279101i
\(442\) 7.84214 + 38.3345i 0.373012 + 1.82339i
\(443\) 10.7895 + 18.6880i 0.512626 + 0.887895i 0.999893 + 0.0146414i \(0.00466067\pi\)
−0.487267 + 0.873253i \(0.662006\pi\)
\(444\) −0.524367 + 4.34784i −0.0248854 + 0.206339i
\(445\) −4.77496 2.75683i −0.226355 0.130686i
\(446\) 18.6559 + 21.0410i 0.883381 + 0.996322i
\(447\) 2.92903 0.138538
\(448\) 21.1622 0.400316i 0.999821 0.0189132i
\(449\) −31.7876 −1.50015 −0.750075 0.661353i \(-0.769983\pi\)
−0.750075 + 0.661353i \(0.769983\pi\)
\(450\) −2.75442 3.10658i −0.129845 0.146446i
\(451\) −10.8994 6.29277i −0.513233 0.296315i
\(452\) 4.98527 41.3357i 0.234487 1.94427i
\(453\) −2.03864 3.53102i −0.0957835 0.165902i
\(454\) −7.01909 34.3112i −0.329422 1.61031i
\(455\) 8.78802 11.1333i 0.411989 0.521938i
\(456\) −3.73768 + 2.58661i −0.175033 + 0.121129i
\(457\) 11.5642 + 20.0298i 0.540950 + 0.936954i 0.998850 + 0.0479496i \(0.0152687\pi\)
−0.457899 + 0.889004i \(0.651398\pi\)
\(458\) 5.35133 16.0507i 0.250051 0.750001i
\(459\) 3.88146 6.72289i 0.181171 0.313797i
\(460\) 0.320406 0.427099i 0.0149390 0.0199136i
\(461\) −9.98126 −0.464874 −0.232437 0.972611i \(-0.574670\pi\)
−0.232437 + 0.972611i \(0.574670\pi\)
\(462\) 0.196632 + 3.43530i 0.00914816 + 0.159825i
\(463\) 24.3501i 1.13165i −0.824527 0.565823i \(-0.808558\pi\)
0.824527 0.565823i \(-0.191442\pi\)
\(464\) −2.84965 + 11.6422i −0.132291 + 0.540475i
\(465\) 1.19531 + 0.690110i 0.0554310 + 0.0320031i
\(466\) 4.96459 14.8907i 0.229980 0.689800i
\(467\) −22.6077 + 13.0525i −1.04616 + 0.604000i −0.921571 0.388209i \(-0.873094\pi\)
−0.124587 + 0.992209i \(0.539761\pi\)
\(468\) 28.9485 12.3614i 1.33815 0.571406i
\(469\) 5.04595 + 0.734828i 0.233000 + 0.0339312i
\(470\) −6.27262 + 1.28320i −0.289334 + 0.0591895i
\(471\) −0.473554 + 0.273407i −0.0218202 + 0.0125979i
\(472\) 22.2481 1.82312i 1.02405 0.0839161i
\(473\) 9.68894 16.7817i 0.445498 0.771625i
\(474\) −2.72957 3.07855i −0.125373 0.141402i
\(475\) 6.34185i 0.290984i
\(476\) 26.3587 + 7.14298i 1.20815 + 0.327398i
\(477\) 10.4989i 0.480710i
\(478\) 26.2610 23.2841i 1.20115 1.06499i
\(479\) 3.24704 5.62403i 0.148361 0.256969i −0.782261 0.622951i \(-0.785934\pi\)
0.930622 + 0.365982i \(0.119267\pi\)
\(480\) −1.26793 + 0.668722i −0.0578727 + 0.0305228i
\(481\) −40.1181 + 23.1622i −1.82923 + 1.05610i
\(482\) −3.22366 15.7582i −0.146834 0.717764i
\(483\) −0.0662200 0.166282i −0.00301311 0.00756608i
\(484\) 3.99190 1.70459i 0.181450 0.0774814i
\(485\) 6.91499 3.99237i 0.313993 0.181284i
\(486\) −8.91862 2.97348i −0.404557 0.134880i
\(487\) −0.244780 0.141324i −0.0110921 0.00640400i 0.494444 0.869210i \(-0.335372\pi\)
−0.505536 + 0.862806i \(0.668705\pi\)
\(488\) −13.4523 6.36330i −0.608958 0.288053i
\(489\) 0.303311i 0.0137162i
\(490\) −4.18220 8.97269i −0.188933 0.405345i
\(491\) 18.1902 0.820912 0.410456 0.911880i \(-0.365370\pi\)
0.410456 + 0.911880i \(0.365370\pi\)
\(492\) −1.40594 1.05472i −0.0633847 0.0475506i
\(493\) −7.73239 + 13.3929i −0.348249 + 0.603185i
\(494\) −45.6128 15.2074i −2.05222 0.684212i
\(495\) 5.32712 + 9.22684i 0.239436 + 0.414716i
\(496\) −15.0670 + 15.7371i −0.676527 + 0.706616i
\(497\) −39.1607 + 15.5954i −1.75660 + 0.699548i
\(498\) −2.02166 + 0.413573i −0.0905927 + 0.0185327i
\(499\) −0.608016 1.05312i −0.0272185 0.0471439i 0.852095 0.523387i \(-0.175332\pi\)
−0.879314 + 0.476243i \(0.841998\pi\)
\(500\) −0.239473 + 1.98561i −0.0107096 + 0.0887992i
\(501\) 2.86656 + 1.65501i 0.128069 + 0.0739404i
\(502\) −9.50702 + 8.42932i −0.424319 + 0.376219i
\(503\) −37.9355 −1.69146 −0.845729 0.533612i \(-0.820834\pi\)
−0.845729 + 0.533612i \(0.820834\pi\)
\(504\) 1.37983 21.9260i 0.0614625 0.976663i
\(505\) −9.49950 −0.422722
\(506\) −1.02519 + 0.908976i −0.0455752 + 0.0404089i
\(507\) −3.45421 1.99429i −0.153407 0.0885695i
\(508\) −16.7610 2.02145i −0.743650 0.0896873i
\(509\) −5.30256 9.18430i −0.235032 0.407087i 0.724250 0.689537i \(-0.242186\pi\)
−0.959282 + 0.282450i \(0.908853\pi\)
\(510\) −1.81200 + 0.370684i −0.0802369 + 0.0164142i
\(511\) −3.13631 + 21.5365i −0.138742 + 0.952721i
\(512\) −5.49474 21.9501i −0.242835 0.970068i
\(513\) 4.76955 + 8.26110i 0.210581 + 0.364736i
\(514\) 3.25945 + 1.08670i 0.143768 + 0.0479325i
\(515\) −3.75103 + 6.49697i −0.165290 + 0.286291i
\(516\) 1.62395 2.16472i 0.0714905 0.0952964i
\(517\) 16.4299 0.722585
\(518\) 1.84761 + 32.2790i 0.0811792 + 1.41826i
\(519\) 6.26448i 0.274980i
\(520\) −13.7070 6.48375i −0.601090 0.284331i
\(521\) −1.18563 0.684522i −0.0519432 0.0299894i 0.473803 0.880631i \(-0.342881\pi\)
−0.525747 + 0.850641i \(0.676214\pi\)
\(522\) 11.8022 + 3.93486i 0.516567 + 0.172224i
\(523\) −1.24052 + 0.716212i −0.0542439 + 0.0313178i −0.526877 0.849942i \(-0.676637\pi\)
0.472633 + 0.881259i \(0.343304\pi\)
\(524\) −4.30748 10.0875i −0.188173 0.440673i
\(525\) 0.526253 + 0.415394i 0.0229675 + 0.0181293i
\(526\) 0.652092 + 3.18761i 0.0284326 + 0.138986i
\(527\) −24.3445 + 14.0553i −1.06046 + 0.612257i
\(528\) 3.53161 1.02912i 0.153694 0.0447866i
\(529\) −11.4644 + 19.8569i −0.498451 + 0.863342i
\(530\) −3.78422 + 3.35525i −0.164376 + 0.145743i
\(531\) 23.1700i 1.00549i
\(532\) −23.7962 + 23.6616i −1.03170 + 1.02586i
\(533\) 18.5916i 0.805293i
\(534\) 1.31087 + 1.47846i 0.0567268 + 0.0639793i
\(535\) −3.73750 + 6.47354i −0.161586 + 0.279876i
\(536\) −0.445211 5.43304i −0.0192302 0.234671i
\(537\) 2.84415 1.64207i 0.122734 0.0708606i
\(538\) −1.68799 + 0.345314i −0.0727744 + 0.0148876i
\(539\) 5.89967 + 24.7091i 0.254117 + 1.06430i
\(540\) 1.18138 + 2.76662i 0.0508387 + 0.119057i
\(541\) −1.20272 + 0.694390i −0.0517089 + 0.0298542i −0.525632 0.850712i \(-0.676171\pi\)
0.473923 + 0.880566i \(0.342838\pi\)
\(542\) 10.8328 32.4917i 0.465308 1.39564i
\(543\) −2.31887 1.33880i −0.0995120 0.0574533i
\(544\) 1.11679 29.1737i 0.0478819 1.25081i
\(545\) 19.4998i 0.835279i
\(546\) −4.24958 + 2.78890i −0.181865 + 0.119354i
\(547\) 43.0700 1.84154 0.920770 0.390106i \(-0.127562\pi\)
0.920770 + 0.390106i \(0.127562\pi\)
\(548\) 13.4798 + 10.1124i 0.575827 + 0.431980i
\(549\) −7.72314 + 13.3769i −0.329616 + 0.570911i
\(550\) 1.62328 4.86884i 0.0692167 0.207608i
\(551\) −9.50157 16.4572i −0.404781 0.701100i
\(552\) −0.157338 + 0.108884i −0.00669677 + 0.00463441i
\(553\) −23.8427 18.8201i −1.01390 0.800313i
\(554\) 2.36536 + 11.5625i 0.100494 + 0.491244i
\(555\) −1.09484 1.89631i −0.0464732 0.0804939i
\(556\) 22.9997 + 2.77386i 0.975403 + 0.117638i
\(557\) −20.0779 11.5920i −0.850727 0.491167i 0.0101693 0.999948i \(-0.496763\pi\)
−0.860896 + 0.508781i \(0.830096\pi\)
\(558\) 15.0026 + 16.9207i 0.635110 + 0.716310i
\(559\) 28.6254 1.21073
\(560\) −8.34400 + 6.50981i −0.352598 + 0.275090i
\(561\) 4.74619 0.200384
\(562\) −18.6005 20.9786i −0.784614 0.884928i
\(563\) 20.3256 + 11.7350i 0.856620 + 0.494570i 0.862879 0.505410i \(-0.168659\pi\)
−0.00625865 + 0.999980i \(0.501992\pi\)
\(564\) 2.27795 + 0.274730i 0.0959189 + 0.0115682i
\(565\) 10.4088 + 18.0286i 0.437902 + 0.758469i
\(566\) 2.72859 + 13.3381i 0.114691 + 0.560643i
\(567\) −22.0609 3.21268i −0.926472 0.134920i
\(568\) 25.6431 + 37.0545i 1.07596 + 1.55477i
\(569\) 1.75158 + 3.03382i 0.0734300 + 0.127185i 0.900402 0.435058i \(-0.143272\pi\)
−0.826972 + 0.562242i \(0.809939\pi\)
\(570\) 0.718825 2.15604i 0.0301083 0.0903064i
\(571\) −6.67971 + 11.5696i −0.279537 + 0.484172i −0.971270 0.237981i \(-0.923514\pi\)
0.691733 + 0.722154i \(0.256848\pi\)
\(572\) 31.1259 + 23.3503i 1.30144 + 0.976327i
\(573\) −1.00358 −0.0419252
\(574\) −11.5899 5.83519i −0.483752 0.243556i
\(575\) 0.266961i 0.0111331i
\(576\) −23.1730 + 3.82350i −0.965541 + 0.159313i
\(577\) −29.5233 17.0453i −1.22907 0.709604i −0.262234 0.965004i \(-0.584459\pi\)
−0.966835 + 0.255401i \(0.917793\pi\)
\(578\) 4.31010 12.9277i 0.179277 0.537720i
\(579\) −3.13613 + 1.81065i −0.130333 + 0.0752479i
\(580\) −2.35347 5.51148i −0.0977227 0.228852i
\(581\) −14.1536 + 5.63651i −0.587189 + 0.233842i
\(582\) −2.80341 + 0.573496i −0.116205 + 0.0237722i
\(583\) 11.2395 6.48912i 0.465492 0.268752i
\(584\) 23.1887 1.90020i 0.959554 0.0786308i
\(585\) −7.86933 + 13.6301i −0.325357 + 0.563535i
\(586\) −0.457812 0.516344i −0.0189120 0.0213300i
\(587\) 8.77581i 0.362216i 0.983463 + 0.181108i \(0.0579684\pi\)
−0.983463 + 0.181108i \(0.942032\pi\)
\(588\) 0.404800 + 3.52448i 0.0166937 + 0.145347i
\(589\) 34.5423i 1.42329i
\(590\) −8.35139 + 7.40470i −0.343821 + 0.304847i
\(591\) −0.513425 + 0.889277i −0.0211195 + 0.0365800i
\(592\) 33.1839 9.66985i 1.36385 0.397428i
\(593\) −5.54851 + 3.20343i −0.227850 + 0.131549i −0.609580 0.792725i \(-0.708662\pi\)
0.381730 + 0.924274i \(0.375328\pi\)
\(594\) −1.54720 7.56313i −0.0634824 0.310319i
\(595\) −12.6858 + 5.05198i −0.520066 + 0.207111i
\(596\) −9.07842 21.2603i −0.371867 0.870856i
\(597\) 0.601832 0.347468i 0.0246313 0.0142209i
\(598\) −1.92008 0.640157i −0.0785179 0.0261780i
\(599\) 13.6488 + 7.88017i 0.557677 + 0.321975i 0.752213 0.658921i \(-0.228987\pi\)
−0.194536 + 0.980895i \(0.562320\pi\)
\(600\) 0.306475 0.647905i 0.0125118 0.0264506i
\(601\) 23.5644i 0.961213i 0.876936 + 0.480606i \(0.159583\pi\)
−0.876936 + 0.480606i \(0.840417\pi\)
\(602\) 8.98440 17.8448i 0.366177 0.727301i
\(603\) −5.65816 −0.230418
\(604\) −19.3112 + 25.7417i −0.785761 + 1.04741i
\(605\) −1.08515 + 1.87954i −0.0441177 + 0.0764141i
\(606\) 3.22954 + 1.07673i 0.131191 + 0.0437393i
\(607\) −23.5467 40.7841i −0.955733 1.65538i −0.732683 0.680570i \(-0.761732\pi\)
−0.223050 0.974807i \(-0.571601\pi\)
\(608\) 30.3597 + 19.1128i 1.23125 + 0.775126i
\(609\) −1.98799 0.289506i −0.0805575 0.0117314i
\(610\) 7.28974 1.49127i 0.295153 0.0603798i
\(611\) 12.1353 + 21.0189i 0.490941 + 0.850335i
\(612\) −30.0852 3.62840i −1.21612 0.146669i
\(613\) −28.4900 16.4487i −1.15070 0.664357i −0.201642 0.979459i \(-0.564628\pi\)
−0.949058 + 0.315102i \(0.897961\pi\)
\(614\) −12.5220 + 11.1025i −0.505345 + 0.448061i
\(615\) 0.878794 0.0354364
\(616\) 24.3256 12.0748i 0.980107 0.486509i
\(617\) 6.76738 0.272444 0.136222 0.990678i \(-0.456504\pi\)
0.136222 + 0.990678i \(0.456504\pi\)
\(618\) 2.01164 1.78361i 0.0809202 0.0717473i
\(619\) 13.7468 + 7.93673i 0.552531 + 0.319004i 0.750142 0.661276i \(-0.229985\pi\)
−0.197611 + 0.980281i \(0.563318\pi\)
\(620\) 1.30434 10.8151i 0.0523838 0.434344i
\(621\) 0.200775 + 0.347752i 0.00805682 + 0.0139548i
\(622\) −6.35914 + 1.30090i −0.254978 + 0.0521612i
\(623\) 11.4504 + 9.03830i 0.458750 + 0.362112i
\(624\) 3.92505 + 3.75791i 0.157128 + 0.150437i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −27.5606 9.18875i −1.10154 0.367256i
\(627\) −2.91606 + 5.05077i −0.116456 + 0.201708i
\(628\) 3.45228 + 2.58987i 0.137761 + 0.103347i
\(629\) 44.5964 1.77817
\(630\) 6.02700 + 9.18363i 0.240122 + 0.365885i
\(631\) 18.6006i 0.740479i 0.928936 + 0.370240i \(0.120724\pi\)
−0.928936 + 0.370240i \(0.879276\pi\)
\(632\) −13.8854 + 29.3544i −0.552331 + 1.16765i
\(633\) 0.529130 + 0.305493i 0.0210310 + 0.0121423i
\(634\) −10.4775 3.49321i −0.416114 0.138733i
\(635\) 7.31032 4.22062i 0.290101 0.167490i
\(636\) 1.66682 0.711755i 0.0660939 0.0282229i
\(637\) −27.2530 + 25.7979i −1.07980 + 1.02215i
\(638\) 3.08223 + 15.0668i 0.122027 + 0.596499i
\(639\) 40.5063 23.3863i 1.60241 0.925149i
\(640\) 8.78380 + 7.13055i 0.347210 + 0.281860i
\(641\) −3.77857 + 6.54468i −0.149245 + 0.258499i −0.930948 0.365151i \(-0.881018\pi\)
0.781704 + 0.623650i \(0.214351\pi\)
\(642\) 2.00439 1.77718i 0.0791070 0.0701396i
\(643\) 21.9243i 0.864609i 0.901728 + 0.432305i \(0.142299\pi\)
−0.901728 + 0.432305i \(0.857701\pi\)
\(644\) −1.00171 + 0.996041i −0.0394728 + 0.0392495i
\(645\) 1.35307i 0.0532772i
\(646\) 30.7083 + 34.6344i 1.20820 + 1.36267i
\(647\) −11.3244 + 19.6144i −0.445207 + 0.771120i −0.998067 0.0621538i \(-0.980203\pi\)
0.552860 + 0.833274i \(0.313536\pi\)
\(648\) 1.94647 + 23.7533i 0.0764645 + 0.933117i
\(649\) 24.8044 14.3208i 0.973659 0.562143i
\(650\) 7.42773 1.51950i 0.291339 0.0595997i
\(651\) −2.86635 2.26254i −0.112341 0.0886759i
\(652\) −2.20158 + 0.940102i −0.0862204 + 0.0368172i
\(653\) −3.05556 + 1.76413i −0.119573 + 0.0690357i −0.558594 0.829441i \(-0.688659\pi\)
0.439020 + 0.898477i \(0.355326\pi\)
\(654\) 2.21023 6.62934i 0.0864268 0.259228i
\(655\) 4.74957 + 2.74216i 0.185581 + 0.107145i
\(656\) −3.29803 + 13.4741i −0.128767 + 0.526074i
\(657\) 24.1495i 0.942162i
\(658\) 16.9118 0.968011i 0.659291 0.0377370i
\(659\) 37.5143 1.46135 0.730676 0.682725i \(-0.239205\pi\)
0.730676 + 0.682725i \(0.239205\pi\)
\(660\) −1.10373 + 1.47127i −0.0429626 + 0.0572689i
\(661\) −14.6573 + 25.3871i −0.570102 + 0.987445i 0.426453 + 0.904510i \(0.359763\pi\)
−0.996555 + 0.0829357i \(0.973570\pi\)
\(662\) 5.68179 17.0419i 0.220829 0.662352i
\(663\) 3.50558 + 6.07185i 0.136146 + 0.235811i
\(664\) 9.26798 + 13.3923i 0.359667 + 0.519723i
\(665\) 2.41797 16.6038i 0.0937648 0.643868i
\(666\) −7.19031 35.1482i −0.278619 1.36196i
\(667\) −0.399971 0.692769i −0.0154869 0.0268241i
\(668\) 3.12806 25.9365i 0.121028 1.00351i
\(669\) 4.36368 + 2.51937i 0.168710 + 0.0974046i
\(670\) 1.80824 + 2.03943i 0.0698586 + 0.0787901i
\(671\) −19.0940 −0.737116
\(672\) 3.57457 1.26738i 0.137892 0.0488902i
\(673\) −16.3062 −0.628558 −0.314279 0.949331i \(-0.601763\pi\)
−0.314279 + 0.949331i \(0.601763\pi\)
\(674\) −13.0215 14.6863i −0.501571 0.565697i
\(675\) −1.30263 0.752075i −0.0501383 0.0289474i
\(676\) −3.76931 + 31.2535i −0.144973 + 1.20206i
\(677\) 17.9655 + 31.1171i 0.690469 + 1.19593i 0.971684 + 0.236282i \(0.0759290\pi\)
−0.281216 + 0.959645i \(0.590738\pi\)
\(678\) −1.49521 7.30898i −0.0574231 0.280700i
\(679\) −19.6265 + 7.81607i −0.753198 + 0.299953i
\(680\) 8.30685 + 12.0035i 0.318553 + 0.460313i
\(681\) −3.13766 5.43459i −0.120236 0.208254i
\(682\) −8.84154 + 26.5192i −0.338560 + 1.01547i
\(683\) 13.9429 24.1497i 0.533509 0.924064i −0.465725 0.884929i \(-0.654206\pi\)
0.999234 0.0391349i \(-0.0124602\pi\)
\(684\) 22.3456 29.7866i 0.854406 1.13892i
\(685\) −8.42562 −0.321926
\(686\) 7.52853 + 25.0863i 0.287441 + 0.957798i
\(687\) 3.03166i 0.115665i
\(688\) −20.7460 5.07796i −0.790932 0.193596i
\(689\) 16.6032 + 9.58587i 0.632532 + 0.365193i
\(690\) 0.0302591 0.0907588i 0.00115194 0.00345513i
\(691\) 20.9094 12.0721i 0.795432 0.459243i −0.0464394 0.998921i \(-0.514787\pi\)
0.841871 + 0.539678i \(0.181454\pi\)
\(692\) −45.4706 + 19.4165i −1.72853 + 0.738106i
\(693\) −10.4292 26.1882i −0.396172 0.994807i
\(694\) 17.8321 3.64793i 0.676896 0.138473i
\(695\) −10.0313 + 5.79158i −0.380510 + 0.219687i
\(696\) 0.175403 + 2.14050i 0.00664865 + 0.0811353i
\(697\) −8.94907 + 15.5002i −0.338970 + 0.587113i
\(698\) −19.7521 22.2774i −0.747627 0.843211i
\(699\) 2.81256i 0.106381i
\(700\) 1.38403 5.10729i 0.0523115 0.193038i
\(701\) 14.4688i 0.546481i 0.961946 + 0.273240i \(0.0880954\pi\)
−0.961946 + 0.273240i \(0.911905\pi\)
\(702\) 8.53282 7.56556i 0.322051 0.285544i
\(703\) −27.4001 + 47.4583i −1.03341 + 1.78992i
\(704\) −18.4159 22.4444i −0.694077 0.845907i
\(705\) −0.993528 + 0.573614i −0.0374184 + 0.0216035i
\(706\) 8.45976 + 41.3536i 0.318387 + 1.55636i
\(707\) 24.8710 + 3.62189i 0.935369 + 0.136215i
\(708\) 3.67852 1.57077i 0.138247 0.0590333i
\(709\) 16.2208 9.36506i 0.609183 0.351712i −0.163462 0.986550i \(-0.552266\pi\)
0.772646 + 0.634837i \(0.218933\pi\)
\(710\) −21.3745 7.12627i −0.802169 0.267444i
\(711\) 29.1897 + 16.8527i 1.09470 + 0.632025i
\(712\) 6.66841 14.0973i 0.249909 0.528320i
\(713\) 1.45407i 0.0544552i
\(714\) 4.88540 0.279634i 0.182832 0.0104651i
\(715\) −19.4555 −0.727593
\(716\) −20.7343 15.5547i −0.774876 0.581305i
\(717\) 3.14439 5.44624i 0.117429 0.203394i
\(718\) −25.6148 8.54001i −0.955937 0.318710i
\(719\) −14.8589 25.7364i −0.554145 0.959807i −0.997970 0.0636936i \(-0.979712\pi\)
0.443824 0.896114i \(-0.353621\pi\)
\(720\) 8.12110 8.48229i 0.302656 0.316116i
\(721\) 12.2978 15.5798i 0.457994 0.580221i
\(722\) −29.3994 + 6.01427i −1.09413 + 0.223828i
\(723\) −1.44104 2.49595i −0.0535928 0.0928255i
\(724\) −2.53040 + 20.9810i −0.0940415 + 0.779753i
\(725\) 2.59502 + 1.49823i 0.0963765 + 0.0556430i
\(726\) 0.581958 0.515988i 0.0215985 0.0191501i
\(727\) 7.23594 0.268366 0.134183 0.990957i \(-0.457159\pi\)
0.134183 + 0.990957i \(0.457159\pi\)
\(728\) 33.4146 + 22.2014i 1.23843 + 0.822839i
\(729\) 23.5941 0.873854
\(730\) −8.70446 + 7.71774i −0.322167 + 0.285647i
\(731\) −23.8656 13.7788i −0.882702 0.509628i
\(732\) −2.64732 0.319278i −0.0978478 0.0118009i
\(733\) −11.4471 19.8270i −0.422810 0.732328i 0.573403 0.819273i \(-0.305623\pi\)
−0.996213 + 0.0869452i \(0.972289\pi\)
\(734\) −13.6011 + 2.78240i −0.502027 + 0.102700i
\(735\) −1.21942 1.28820i −0.0449791 0.0475161i
\(736\) 1.27800 + 0.804556i 0.0471076 + 0.0296563i
\(737\) −3.49719 6.05730i −0.128821 0.223124i
\(738\) 13.6592 + 4.55400i 0.502803 + 0.167635i
\(739\) −19.9700 + 34.5891i −0.734610 + 1.27238i 0.220284 + 0.975436i \(0.429301\pi\)
−0.954894 + 0.296946i \(0.904032\pi\)
\(740\) −10.3709 + 13.8244i −0.381243 + 0.508195i
\(741\) −8.61534 −0.316492
\(742\) 11.1869 7.34167i 0.410682 0.269521i
\(743\) 7.99702i 0.293382i 0.989182 + 0.146691i \(0.0468623\pi\)
−0.989182 + 0.146691i \(0.953138\pi\)
\(744\) −1.66929 + 3.52896i −0.0611991 + 0.129378i
\(745\) 10.0102 + 5.77937i 0.366744 + 0.211740i
\(746\) 31.4369 + 10.4811i 1.15099 + 0.383741i
\(747\) 14.6399 8.45234i 0.535645 0.309255i
\(748\) −14.7106 34.4501i −0.537874 1.25962i
\(749\) 12.2535 15.5236i 0.447732 0.567220i
\(750\) 0.0718241 + 0.351096i 0.00262264 + 0.0128202i
\(751\) 11.9662 6.90868i 0.436652 0.252101i −0.265524 0.964104i \(-0.585545\pi\)
0.702177 + 0.712003i \(0.252212\pi\)
\(752\) −5.06629 17.3860i −0.184749 0.634001i
\(753\) −1.13833 + 1.97165i −0.0414832 + 0.0718509i
\(754\) −16.9985 + 15.0716i −0.619049 + 0.548875i
\(755\) 16.0900i 0.585576i
\(756\) −2.03819 7.69382i −0.0741281 0.279822i
\(757\) 10.8579i 0.394636i −0.980340 0.197318i \(-0.936777\pi\)
0.980340 0.197318i \(-0.0632232\pi\)
\(758\) −10.0633 11.3499i −0.365516 0.412247i
\(759\) −0.122752 + 0.212613i −0.00445562 + 0.00771736i
\(760\) −17.8775 + 1.46498i −0.648486 + 0.0531403i
\(761\) −39.6101 + 22.8689i −1.43586 + 0.828996i −0.997559 0.0698299i \(-0.977754\pi\)
−0.438305 + 0.898826i \(0.644421\pi\)
\(762\) −2.96368 + 0.606284i −0.107363 + 0.0219634i
\(763\) 7.43472 51.0531i 0.269155 1.84825i
\(764\) 3.11057 + 7.28448i 0.112536 + 0.263543i
\(765\) 13.1217 7.57580i 0.474415 0.273904i
\(766\) 0.626816 1.88007i 0.0226478 0.0679295i
\(767\) 36.6416 + 21.1551i 1.32305 + 0.763865i
\(768\) −2.17801 3.41979i −0.0785920 0.123401i
\(769\) 5.29591i 0.190976i −0.995431 0.0954878i \(-0.969559\pi\)
0.995431 0.0954878i \(-0.0304411\pi\)
\(770\) −6.10631 + 12.1284i −0.220056 + 0.437076i
\(771\) 0.615644 0.0221719
\(772\) 22.8629 + 17.1515i 0.822853 + 0.617297i
\(773\) 8.85880 15.3439i 0.318629 0.551882i −0.661573 0.749881i \(-0.730111\pi\)
0.980202 + 0.197999i \(0.0634443\pi\)