Properties

Label 552.2.t.a.451.18
Level $552$
Weight $2$
Character 552.451
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 451.18
Character \(\chi\) \(=\) 552.451
Dual form 552.2.t.a.235.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.12101 + 0.862176i) q^{2} +(0.654861 + 0.755750i) q^{3} +(0.513305 + 1.93301i) q^{4} +(-0.175998 - 1.22409i) q^{5} +(0.0825131 + 1.41180i) q^{6} +(-1.83825 + 4.02520i) q^{7} +(-1.09117 + 2.60947i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(1.12101 + 0.862176i) q^{2} +(0.654861 + 0.755750i) q^{3} +(0.513305 + 1.93301i) q^{4} +(-0.175998 - 1.22409i) q^{5} +(0.0825131 + 1.41180i) q^{6} +(-1.83825 + 4.02520i) q^{7} +(-1.09117 + 2.60947i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(0.858088 - 1.52396i) q^{10} +(0.205881 - 0.701166i) q^{11} +(-1.12473 + 1.65378i) q^{12} +(-1.90431 + 0.869671i) q^{13} +(-5.53111 + 2.92738i) q^{14} +(0.809853 - 0.934620i) q^{15} +(-3.47304 + 1.98445i) q^{16} +(2.50116 - 3.89187i) q^{17} +(-1.01294 + 0.986895i) q^{18} +(0.534105 + 0.831084i) q^{19} +(2.27584 - 0.968538i) q^{20} +(-4.24584 + 1.24669i) q^{21} +(0.835322 - 0.608505i) q^{22} +(2.21033 + 4.25611i) q^{23} +(-2.68667 + 0.884185i) q^{24} +(3.33004 - 0.977787i) q^{25} +(-2.88455 - 0.666948i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(-8.72432 - 1.48719i) q^{28} +(2.81514 - 4.38045i) q^{29} +(1.71366 - 0.349478i) q^{30} +(1.18530 + 1.02706i) q^{31} +(-5.60423 - 0.769794i) q^{32} +(0.664729 - 0.303571i) q^{33} +(6.15929 - 2.20637i) q^{34} +(5.25074 + 1.54176i) q^{35} +(-1.98638 + 0.232985i) q^{36} +(-0.690569 + 4.80301i) q^{37} +(-0.117806 + 1.39214i) q^{38} +(-1.90431 - 0.869671i) q^{39} +(3.38628 + 0.876437i) q^{40} +(0.851099 + 5.91953i) q^{41} +(-5.83447 - 2.26311i) q^{42} +(5.62116 - 4.87076i) q^{43} +(1.46104 + 0.0380572i) q^{44} +1.23668 q^{45} +(-1.19172 + 6.67681i) q^{46} +3.21000i q^{47} +(-3.77410 - 1.32521i) q^{48} +(-8.23904 - 9.50836i) q^{49} +(4.57601 + 1.77497i) q^{50} +(4.57919 - 0.658388i) q^{51} +(-2.65857 - 3.23465i) q^{52} +(4.99279 - 10.9327i) q^{53} +(-1.40918 - 0.119247i) q^{54} +(-0.894526 - 0.128613i) q^{55} +(-8.49779 - 9.18904i) q^{56} +(-0.278327 + 0.947894i) q^{57} +(6.93251 - 2.48336i) q^{58} +(3.58635 + 7.85300i) q^{59} +(2.22233 + 1.08571i) q^{60} +(6.08332 - 7.02052i) q^{61} +(0.443212 + 2.17328i) q^{62} +(-3.72262 - 2.39238i) q^{63} +(-5.61868 - 5.69478i) q^{64} +(1.39971 + 2.17800i) q^{65} +(1.00690 + 0.232808i) q^{66} +(-2.30995 - 7.86698i) q^{67} +(8.80688 + 2.83703i) q^{68} +(-1.76909 + 4.45761i) q^{69} +(4.55684 + 6.25538i) q^{70} +(-2.19649 - 7.48057i) q^{71} +(-2.42762 - 1.45143i) q^{72} +(-11.2800 + 7.24919i) q^{73} +(-4.91517 + 4.78881i) q^{74} +(2.91967 + 1.87636i) q^{75} +(-1.33233 + 1.45903i) q^{76} +(2.44387 + 2.11763i) q^{77} +(-1.38494 - 2.61676i) q^{78} +(-6.41315 - 14.0428i) q^{79} +(3.04039 + 3.90206i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-4.14959 + 7.36962i) q^{82} +(8.31810 + 1.19596i) q^{83} +(-4.58927 - 7.56730i) q^{84} +(-5.20421 - 2.37668i) q^{85} +(10.5008 - 0.613721i) q^{86} +(5.15405 - 0.741040i) q^{87} +(1.60502 + 1.30233i) q^{88} +(-11.8620 + 10.2785i) q^{89} +(1.38632 + 1.06624i) q^{90} -9.26391i q^{91} +(-7.09251 + 6.45727i) q^{92} +1.56837i q^{93} +(-2.76758 + 3.59843i) q^{94} +(0.923322 - 0.800063i) q^{95} +(-3.08822 - 4.73950i) q^{96} +(3.23341 - 0.464894i) q^{97} +(-1.03813 - 17.7624i) q^{98} +(0.664729 + 0.303571i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{21}{22}\right)\) \(1\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.12101 + 0.862176i 0.792670 + 0.609650i
\(3\) 0.654861 + 0.755750i 0.378084 + 0.436332i
\(4\) 0.513305 + 1.93301i 0.256653 + 0.966504i
\(5\) −0.175998 1.22409i −0.0787087 0.547431i −0.990578 0.136950i \(-0.956270\pi\)
0.911869 0.410481i \(-0.134639\pi\)
\(6\) 0.0825131 + 1.41180i 0.0336859 + 0.576367i
\(7\) −1.83825 + 4.02520i −0.694792 + 1.52138i 0.151383 + 0.988475i \(0.451627\pi\)
−0.846174 + 0.532906i \(0.821100\pi\)
\(8\) −1.09117 + 2.60947i −0.385789 + 0.922587i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) 0.858088 1.52396i 0.271351 0.481917i
\(11\) 0.205881 0.701166i 0.0620754 0.211409i −0.922615 0.385722i \(-0.873952\pi\)
0.984690 + 0.174313i \(0.0557704\pi\)
\(12\) −1.12473 + 1.65378i −0.324680 + 0.477405i
\(13\) −1.90431 + 0.869671i −0.528162 + 0.241203i −0.661604 0.749853i \(-0.730124\pi\)
0.133443 + 0.991057i \(0.457397\pi\)
\(14\) −5.53111 + 2.92738i −1.47825 + 0.782374i
\(15\) 0.809853 0.934620i 0.209103 0.241318i
\(16\) −3.47304 + 1.98445i −0.868259 + 0.496111i
\(17\) 2.50116 3.89187i 0.606619 0.943918i −0.393083 0.919503i \(-0.628591\pi\)
0.999702 0.0244150i \(-0.00777231\pi\)
\(18\) −1.01294 + 0.986895i −0.238751 + 0.232613i
\(19\) 0.534105 + 0.831084i 0.122532 + 0.190664i 0.897101 0.441826i \(-0.145669\pi\)
−0.774568 + 0.632490i \(0.782033\pi\)
\(20\) 2.27584 0.968538i 0.508893 0.216572i
\(21\) −4.24584 + 1.24669i −0.926517 + 0.272050i
\(22\) 0.835322 0.608505i 0.178091 0.129734i
\(23\) 2.21033 + 4.25611i 0.460886 + 0.887459i
\(24\) −2.68667 + 0.884185i −0.548415 + 0.180484i
\(25\) 3.33004 0.977787i 0.666008 0.195557i
\(26\) −2.88455 0.666948i −0.565708 0.130799i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) −8.72432 1.48719i −1.64874 0.281052i
\(29\) 2.81514 4.38045i 0.522759 0.813429i −0.475025 0.879973i \(-0.657561\pi\)
0.997784 + 0.0665438i \(0.0211972\pi\)
\(30\) 1.71366 0.349478i 0.312870 0.0638057i
\(31\) 1.18530 + 1.02706i 0.212885 + 0.184466i 0.754776 0.655983i \(-0.227746\pi\)
−0.541890 + 0.840449i \(0.682291\pi\)
\(32\) −5.60423 0.769794i −0.990698 0.136082i
\(33\) 0.664729 0.303571i 0.115714 0.0528450i
\(34\) 6.15929 2.20637i 1.05631 0.378390i
\(35\) 5.25074 + 1.54176i 0.887537 + 0.260604i
\(36\) −1.98638 + 0.232985i −0.331064 + 0.0388308i
\(37\) −0.690569 + 4.80301i −0.113529 + 0.789610i 0.850911 + 0.525309i \(0.176050\pi\)
−0.964440 + 0.264301i \(0.914859\pi\)
\(38\) −0.117806 + 1.39214i −0.0191106 + 0.225835i
\(39\) −1.90431 0.869671i −0.304934 0.139259i
\(40\) 3.38628 + 0.876437i 0.535418 + 0.138577i
\(41\) 0.851099 + 5.91953i 0.132919 + 0.924475i 0.941721 + 0.336394i \(0.109207\pi\)
−0.808802 + 0.588081i \(0.799884\pi\)
\(42\) −5.83447 2.26311i −0.900278 0.349206i
\(43\) 5.62116 4.87076i 0.857219 0.742784i −0.110752 0.993848i \(-0.535326\pi\)
0.967971 + 0.251064i \(0.0807804\pi\)
\(44\) 1.46104 + 0.0380572i 0.220260 + 0.00573733i
\(45\) 1.23668 0.184353
\(46\) −1.19172 + 6.67681i −0.175709 + 0.984442i
\(47\) 3.21000i 0.468227i 0.972209 + 0.234113i \(0.0752187\pi\)
−0.972209 + 0.234113i \(0.924781\pi\)
\(48\) −3.77410 1.32521i −0.544744 0.191278i
\(49\) −8.23904 9.50836i −1.17701 1.35834i
\(50\) 4.57601 + 1.77497i 0.647146 + 0.251019i
\(51\) 4.57919 0.658388i 0.641215 0.0921928i
\(52\) −2.65857 3.23465i −0.368678 0.448565i
\(53\) 4.99279 10.9327i 0.685812 1.50172i −0.170554 0.985348i \(-0.554556\pi\)
0.856366 0.516370i \(-0.172717\pi\)
\(54\) −1.40918 0.119247i −0.191765 0.0162275i
\(55\) −0.894526 0.128613i −0.120618 0.0173422i
\(56\) −8.49779 9.18904i −1.13556 1.22794i
\(57\) −0.278327 + 0.947894i −0.0368653 + 0.125552i
\(58\) 6.93251 2.48336i 0.910283 0.326081i
\(59\) 3.58635 + 7.85300i 0.466902 + 1.02237i 0.985860 + 0.167573i \(0.0535931\pi\)
−0.518957 + 0.854800i \(0.673680\pi\)
\(60\) 2.22233 + 1.08571i 0.286902 + 0.140164i
\(61\) 6.08332 7.02052i 0.778889 0.898886i −0.218140 0.975918i \(-0.569999\pi\)
0.997029 + 0.0770318i \(0.0245443\pi\)
\(62\) 0.443212 + 2.17328i 0.0562880 + 0.276007i
\(63\) −3.72262 2.39238i −0.469006 0.301412i
\(64\) −5.61868 5.69478i −0.702334 0.711847i
\(65\) 1.39971 + 2.17800i 0.173613 + 0.270147i
\(66\) 1.00690 + 0.232808i 0.123940 + 0.0286567i
\(67\) −2.30995 7.86698i −0.282206 0.961105i −0.971582 0.236702i \(-0.923934\pi\)
0.689377 0.724403i \(-0.257885\pi\)
\(68\) 8.80688 + 2.83703i 1.06799 + 0.344041i
\(69\) −1.76909 + 4.45761i −0.212973 + 0.536634i
\(70\) 4.55684 + 6.25538i 0.544647 + 0.747661i
\(71\) −2.19649 7.48057i −0.260676 0.887781i −0.980978 0.194120i \(-0.937815\pi\)
0.720302 0.693661i \(-0.244003\pi\)
\(72\) −2.42762 1.45143i −0.286098 0.171053i
\(73\) −11.2800 + 7.24919i −1.32022 + 0.848454i −0.995258 0.0972730i \(-0.968988\pi\)
−0.324962 + 0.945727i \(0.605352\pi\)
\(74\) −4.91517 + 4.78881i −0.571377 + 0.556688i
\(75\) 2.91967 + 1.87636i 0.337135 + 0.216663i
\(76\) −1.33233 + 1.45903i −0.152829 + 0.167362i
\(77\) 2.44387 + 2.11763i 0.278505 + 0.241326i
\(78\) −1.38494 2.61676i −0.156813 0.296290i
\(79\) −6.41315 14.0428i −0.721535 1.57994i −0.811740 0.584019i \(-0.801479\pi\)
0.0902046 0.995923i \(-0.471248\pi\)
\(80\) 3.04039 + 3.90206i 0.339926 + 0.436263i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −4.14959 + 7.36962i −0.458245 + 0.813838i
\(83\) 8.31810 + 1.19596i 0.913030 + 0.131274i 0.582790 0.812623i \(-0.301961\pi\)
0.330241 + 0.943897i \(0.392870\pi\)
\(84\) −4.58927 7.56730i −0.500731 0.825660i
\(85\) −5.20421 2.37668i −0.564476 0.257788i
\(86\) 10.5008 0.613721i 1.13233 0.0661793i
\(87\) 5.15405 0.741040i 0.552572 0.0794479i
\(88\) 1.60502 + 1.30233i 0.171096 + 0.138829i
\(89\) −11.8620 + 10.2785i −1.25737 + 1.08952i −0.265253 + 0.964179i \(0.585456\pi\)
−0.992114 + 0.125336i \(0.959999\pi\)
\(90\) 1.38632 + 1.06624i 0.146131 + 0.112391i
\(91\) 9.26391i 0.971121i
\(92\) −7.09251 + 6.45727i −0.739445 + 0.673217i
\(93\) 1.56837i 0.162632i
\(94\) −2.76758 + 3.59843i −0.285455 + 0.371149i
\(95\) 0.923322 0.800063i 0.0947308 0.0820847i
\(96\) −3.08822 4.73950i −0.315190 0.483724i
\(97\) 3.23341 0.464894i 0.328303 0.0472028i 0.0238073 0.999717i \(-0.492421\pi\)
0.304496 + 0.952514i \(0.401512\pi\)
\(98\) −1.03813 17.7624i −0.104867 1.79428i
\(99\) 0.664729 + 0.303571i 0.0668078 + 0.0305101i
\(100\) 3.59940 + 5.93508i 0.359940 + 0.593508i
\(101\) 6.24934 + 0.898519i 0.621833 + 0.0894060i 0.446028 0.895019i \(-0.352838\pi\)
0.175805 + 0.984425i \(0.443747\pi\)
\(102\) 5.70094 + 3.21001i 0.564478 + 0.317839i
\(103\) 14.4446 + 4.24132i 1.42327 + 0.417910i 0.900609 0.434631i \(-0.143121\pi\)
0.522661 + 0.852541i \(0.324939\pi\)
\(104\) −0.191442 5.91821i −0.0187724 0.580329i
\(105\) 2.27332 + 4.97788i 0.221854 + 0.485791i
\(106\) 15.0228 7.95093i 1.45915 0.772262i
\(107\) 13.7069 + 11.8771i 1.32509 + 1.14820i 0.977590 + 0.210519i \(0.0675153\pi\)
0.347501 + 0.937679i \(0.387030\pi\)
\(108\) −1.47688 1.34864i −0.142113 0.129773i
\(109\) −4.78810 3.07713i −0.458617 0.294735i 0.290860 0.956766i \(-0.406059\pi\)
−0.749477 + 0.662030i \(0.769695\pi\)
\(110\) −0.891881 0.915415i −0.0850375 0.0872814i
\(111\) −4.08210 + 2.62341i −0.387456 + 0.249003i
\(112\) −1.60349 17.6276i −0.151516 1.66565i
\(113\) −1.08571 3.69760i −0.102135 0.347841i 0.892531 0.450986i \(-0.148928\pi\)
−0.994666 + 0.103145i \(0.967109\pi\)
\(114\) −1.12926 + 0.822627i −0.105765 + 0.0770461i
\(115\) 4.82085 3.45472i 0.449547 0.322154i
\(116\) 9.91247 + 3.19319i 0.920349 + 0.296480i
\(117\) −0.589807 2.00870i −0.0545277 0.185704i
\(118\) −2.75036 + 11.8953i −0.253191 + 1.09505i
\(119\) 11.0678 + 17.2219i 1.01459 + 1.57873i
\(120\) 1.55517 + 3.13312i 0.141967 + 0.286014i
\(121\) 8.80454 + 5.65834i 0.800413 + 0.514394i
\(122\) 12.8724 2.62515i 1.16541 0.237670i
\(123\) −3.91633 + 4.51968i −0.353123 + 0.407526i
\(124\) −1.37690 + 2.81838i −0.123650 + 0.253098i
\(125\) −4.35166 9.52880i −0.389224 0.852282i
\(126\) −2.11042 5.89142i −0.188011 0.524850i
\(127\) −1.77915 + 6.05923i −0.157874 + 0.537670i −0.999999 0.00161305i \(-0.999487\pi\)
0.842125 + 0.539283i \(0.181305\pi\)
\(128\) −1.38866 11.2282i −0.122742 0.992439i
\(129\) 7.36215 + 1.05852i 0.648202 + 0.0931973i
\(130\) −0.308730 + 3.64834i −0.0270774 + 0.319981i
\(131\) 4.84277 10.6042i 0.423115 0.926492i −0.571280 0.820755i \(-0.693553\pi\)
0.994394 0.105736i \(-0.0337199\pi\)
\(132\) 0.928015 + 1.12910i 0.0807733 + 0.0982756i
\(133\) −4.32709 + 0.622142i −0.375207 + 0.0539466i
\(134\) 4.19325 10.8105i 0.362242 0.933886i
\(135\) 0.809853 + 0.934620i 0.0697011 + 0.0804393i
\(136\) 7.42653 + 10.7734i 0.636820 + 0.923812i
\(137\) 11.5339i 0.985407i −0.870197 0.492703i \(-0.836009\pi\)
0.870197 0.492703i \(-0.163991\pi\)
\(138\) −5.82641 + 3.47174i −0.495977 + 0.295534i
\(139\) −9.23301 −0.783134 −0.391567 0.920150i \(-0.628067\pi\)
−0.391567 + 0.920150i \(0.628067\pi\)
\(140\) −0.284995 + 10.9411i −0.0240864 + 0.924693i
\(141\) −2.42596 + 2.10210i −0.204302 + 0.177029i
\(142\) 3.98729 10.2795i 0.334606 0.862638i
\(143\) 0.217722 + 1.51429i 0.0182068 + 0.126631i
\(144\) −1.46998 3.72010i −0.122499 0.310008i
\(145\) −5.85753 2.67505i −0.486442 0.222150i
\(146\) −18.8950 1.59893i −1.56376 0.132329i
\(147\) 1.79051 12.4533i 0.147679 1.02713i
\(148\) −9.63873 + 1.13054i −0.792299 + 0.0929295i
\(149\) −8.89000 2.61034i −0.728297 0.213847i −0.103495 0.994630i \(-0.533002\pi\)
−0.624803 + 0.780783i \(0.714821\pi\)
\(150\) 1.65522 + 4.62068i 0.135148 + 0.377277i
\(151\) −10.3104 + 4.70860i −0.839048 + 0.383180i −0.788120 0.615522i \(-0.788945\pi\)
−0.0509281 + 0.998702i \(0.516218\pi\)
\(152\) −2.75149 + 0.486874i −0.223175 + 0.0394907i
\(153\) 3.49631 + 3.02957i 0.282660 + 0.244926i
\(154\) 0.913825 + 4.48092i 0.0736381 + 0.361082i
\(155\) 1.04861 1.63167i 0.0842266 0.131059i
\(156\) 0.703586 4.12746i 0.0563320 0.330461i
\(157\) −3.51065 + 2.25616i −0.280181 + 0.180061i −0.673182 0.739477i \(-0.735073\pi\)
0.393002 + 0.919538i \(0.371437\pi\)
\(158\) 4.91822 21.2714i 0.391273 1.69226i
\(159\) 11.5319 3.38608i 0.914543 0.268534i
\(160\) 0.0440340 + 6.99558i 0.00348120 + 0.553049i
\(161\) −21.1948 + 1.07326i −1.67038 + 0.0845845i
\(162\) −0.832694 1.14308i −0.0654226 0.0898085i
\(163\) −8.04721 + 2.36288i −0.630306 + 0.185075i −0.581255 0.813722i \(-0.697438\pi\)
−0.0490516 + 0.998796i \(0.515620\pi\)
\(164\) −11.0056 + 4.68371i −0.859394 + 0.365736i
\(165\) −0.488590 0.760262i −0.0380367 0.0591863i
\(166\) 8.29351 + 8.51235i 0.643701 + 0.660686i
\(167\) −0.339519 + 0.528302i −0.0262728 + 0.0408813i −0.854142 0.520041i \(-0.825917\pi\)
0.827869 + 0.560922i \(0.189553\pi\)
\(168\) 1.37975 12.4397i 0.106450 0.959747i
\(169\) −5.64311 + 6.51249i −0.434085 + 0.500961i
\(170\) −3.78483 7.15122i −0.290283 0.548474i
\(171\) −0.898636 + 0.410393i −0.0687204 + 0.0313835i
\(172\) 12.3006 + 8.36556i 0.937911 + 0.637868i
\(173\) 1.64828 5.61354i 0.125317 0.426790i −0.872804 0.488071i \(-0.837701\pi\)
0.998121 + 0.0612817i \(0.0195188\pi\)
\(174\) 6.41662 + 3.61299i 0.486443 + 0.273900i
\(175\) −2.18564 + 15.2015i −0.165219 + 1.14912i
\(176\) 0.676394 + 2.84373i 0.0509851 + 0.214354i
\(177\) −3.58635 + 7.85300i −0.269566 + 0.590268i
\(178\) −22.1592 + 1.29510i −1.66090 + 0.0970717i
\(179\) 0.302070 + 2.10094i 0.0225778 + 0.157032i 0.997991 0.0633505i \(-0.0201786\pi\)
−0.975414 + 0.220382i \(0.929270\pi\)
\(180\) 0.634794 + 2.39051i 0.0473148 + 0.178178i
\(181\) −4.92883 5.68818i −0.366357 0.422799i 0.542402 0.840119i \(-0.317515\pi\)
−0.908760 + 0.417320i \(0.862969\pi\)
\(182\) 7.98712 10.3849i 0.592045 0.769779i
\(183\) 9.28948 0.686698
\(184\) −13.5180 + 1.12364i −0.996563 + 0.0828361i
\(185\) 6.00087 0.441193
\(186\) −1.35221 + 1.75815i −0.0991490 + 0.128914i
\(187\) −2.21391 2.55499i −0.161897 0.186839i
\(188\) −6.20495 + 1.64771i −0.452543 + 0.120172i
\(189\) −0.629755 4.38004i −0.0458079 0.318601i
\(190\) 1.72484 0.100809i 0.125133 0.00731344i
\(191\) 1.57355 3.44560i 0.113858 0.249315i −0.844121 0.536153i \(-0.819877\pi\)
0.957979 + 0.286838i \(0.0926043\pi\)
\(192\) 0.624376 7.97560i 0.0450604 0.575589i
\(193\) 3.16042 21.9812i 0.227492 1.58224i −0.481127 0.876651i \(-0.659773\pi\)
0.708619 0.705591i \(-0.249318\pi\)
\(194\) 4.02549 + 2.26662i 0.289013 + 0.162734i
\(195\) −0.729402 + 2.48412i −0.0522336 + 0.177891i
\(196\) 14.1506 20.8068i 1.01076 1.48620i
\(197\) 10.2317 4.67265i 0.728976 0.332912i −0.0161191 0.999870i \(-0.505131\pi\)
0.745096 + 0.666958i \(0.232404\pi\)
\(198\) 0.483432 + 0.913418i 0.0343560 + 0.0649138i
\(199\) 1.71397 1.97803i 0.121500 0.140219i −0.691740 0.722146i \(-0.743156\pi\)
0.813241 + 0.581927i \(0.197701\pi\)
\(200\) −1.08215 + 9.75657i −0.0765193 + 0.689894i
\(201\) 4.43277 6.89752i 0.312663 0.486514i
\(202\) 6.23086 + 6.39528i 0.438402 + 0.449970i
\(203\) 12.4572 + 19.3838i 0.874327 + 1.36048i
\(204\) 3.62319 + 8.51366i 0.253674 + 0.596075i
\(205\) 7.09626 2.08365i 0.495624 0.145528i
\(206\) 12.5357 + 17.2083i 0.873405 + 1.19896i
\(207\) −4.52735 + 1.58213i −0.314672 + 0.109965i
\(208\) 4.88793 6.79940i 0.338917 0.471454i
\(209\) 0.692689 0.203392i 0.0479143 0.0140689i
\(210\) −1.74340 + 7.54023i −0.120306 + 0.520326i
\(211\) −8.10079 + 5.20606i −0.557681 + 0.358400i −0.788919 0.614497i \(-0.789359\pi\)
0.231238 + 0.972897i \(0.425722\pi\)
\(212\) 23.6958 + 4.03929i 1.62743 + 0.277420i
\(213\) 4.21504 6.55873i 0.288810 0.449397i
\(214\) 5.12534 + 25.1320i 0.350361 + 1.71799i
\(215\) −6.95158 6.02358i −0.474094 0.410804i
\(216\) −0.492832 2.78516i −0.0335330 0.189506i
\(217\) −6.31300 + 2.88305i −0.428555 + 0.195714i
\(218\) −2.71446 7.57766i −0.183847 0.513224i
\(219\) −12.8654 3.77762i −0.869362 0.255268i
\(220\) −0.210554 1.79514i −0.0141956 0.121029i
\(221\) −1.37834 + 9.58653i −0.0927169 + 0.644860i
\(222\) −6.83789 0.578636i −0.458929 0.0388355i
\(223\) 1.33536 + 0.609838i 0.0894222 + 0.0408377i 0.459624 0.888114i \(-0.347984\pi\)
−0.370202 + 0.928951i \(0.620711\pi\)
\(224\) 13.4005 21.1431i 0.895361 1.41268i
\(225\) 0.493921 + 3.43530i 0.0329281 + 0.229020i
\(226\) 1.97089 5.08111i 0.131102 0.337990i
\(227\) 2.04965 1.77603i 0.136040 0.117879i −0.584183 0.811622i \(-0.698585\pi\)
0.720223 + 0.693743i \(0.244040\pi\)
\(228\) −1.97515 0.0514488i −0.130808 0.00340728i
\(229\) −20.4354 −1.35041 −0.675205 0.737630i \(-0.735945\pi\)
−0.675205 + 0.737630i \(0.735945\pi\)
\(230\) 8.38277 + 0.283667i 0.552744 + 0.0187045i
\(231\) 3.23370i 0.212762i
\(232\) 8.35884 + 12.1259i 0.548785 + 0.796102i
\(233\) −10.4023 12.0049i −0.681479 0.786468i 0.304648 0.952465i \(-0.401461\pi\)
−0.986126 + 0.165997i \(0.946916\pi\)
\(234\) 1.07067 2.76028i 0.0699922 0.180445i
\(235\) 3.92934 0.564953i 0.256322 0.0368535i
\(236\) −13.3390 + 10.9634i −0.868296 + 0.713658i
\(237\) 6.41315 14.0428i 0.416579 0.912180i
\(238\) −2.44119 + 28.8482i −0.158239 + 1.86995i
\(239\) −3.92517 0.564354i −0.253898 0.0365050i 0.0141906 0.999899i \(-0.495483\pi\)
−0.268088 + 0.963394i \(0.586392\pi\)
\(240\) −0.957946 + 4.85308i −0.0618351 + 0.313265i
\(241\) −4.39578 + 14.9707i −0.283157 + 0.964344i 0.687962 + 0.725747i \(0.258506\pi\)
−0.971119 + 0.238597i \(0.923312\pi\)
\(242\) 4.99146 + 13.9341i 0.320863 + 0.895717i
\(243\) −0.415415 0.909632i −0.0266489 0.0583529i
\(244\) 16.6933 + 8.15543i 1.06868 + 0.522098i
\(245\) −10.1891 + 11.7588i −0.650955 + 0.751242i
\(246\) −8.28699 + 1.69002i −0.528359 + 0.107752i
\(247\) −1.73987 1.11815i −0.110705 0.0711461i
\(248\) −3.97346 + 1.97229i −0.252315 + 0.125240i
\(249\) 4.54335 + 7.06959i 0.287923 + 0.448017i
\(250\) 3.33727 14.4337i 0.211068 0.912870i
\(251\) −5.28298 17.9922i −0.333458 1.13566i −0.940162 0.340727i \(-0.889327\pi\)
0.606704 0.794928i \(-0.292491\pi\)
\(252\) 2.71365 8.42387i 0.170944 0.530654i
\(253\) 3.43930 0.673559i 0.216227 0.0423463i
\(254\) −7.21856 + 5.25849i −0.452933 + 0.329947i
\(255\) −1.61186 5.48948i −0.100938 0.343764i
\(256\) 8.12395 13.7841i 0.507747 0.861506i
\(257\) −11.0677 + 7.11275i −0.690381 + 0.443681i −0.838221 0.545330i \(-0.816404\pi\)
0.147840 + 0.989011i \(0.452768\pi\)
\(258\) 7.34038 + 7.53408i 0.456992 + 0.469051i
\(259\) −18.0636 11.6088i −1.12242 0.721335i
\(260\) −3.49160 + 3.82363i −0.216540 + 0.237132i
\(261\) 3.93522 + 3.40989i 0.243584 + 0.211067i
\(262\) 14.5714 7.71202i 0.900226 0.476450i
\(263\) 5.40570 + 11.8368i 0.333330 + 0.729891i 0.999879 0.0155706i \(-0.00495649\pi\)
−0.666549 + 0.745461i \(0.732229\pi\)
\(264\) 0.0668256 + 2.06584i 0.00411283 + 0.127144i
\(265\) −14.2613 4.18750i −0.876066 0.257236i
\(266\) −5.38709 3.03329i −0.330304 0.185983i
\(267\) −15.5359 2.23372i −0.950781 0.136702i
\(268\) 14.0212 8.50332i 0.856482 0.519423i
\(269\) 0.291963 + 0.133335i 0.0178013 + 0.00812958i 0.424296 0.905524i \(-0.360522\pi\)
−0.406494 + 0.913653i \(0.633249\pi\)
\(270\) 0.102042 + 1.74595i 0.00621010 + 0.106255i
\(271\) −4.69708 + 0.675338i −0.285327 + 0.0410239i −0.283493 0.958974i \(-0.591493\pi\)
−0.00183483 + 0.999998i \(0.500584\pi\)
\(272\) −0.963390 + 18.4800i −0.0584141 + 1.12052i
\(273\) 7.00119 6.06657i 0.423732 0.367165i
\(274\) 9.94424 12.9295i 0.600754 0.781103i
\(275\) 2.53622i 0.152940i
\(276\) −9.52468 1.13155i −0.573319 0.0681111i
\(277\) 24.3777i 1.46471i 0.680920 + 0.732357i \(0.261580\pi\)
−0.680920 + 0.732357i \(0.738420\pi\)
\(278\) −10.3503 7.96048i −0.620767 0.477438i
\(279\) −1.18530 + 1.02706i −0.0709618 + 0.0614887i
\(280\) −9.75265 + 12.0193i −0.582832 + 0.718292i
\(281\) −15.2914 + 2.19857i −0.912209 + 0.131156i −0.582410 0.812895i \(-0.697890\pi\)
−0.329799 + 0.944051i \(0.606981\pi\)
\(282\) −4.53189 + 0.264867i −0.269870 + 0.0157726i
\(283\) −3.59708 1.64273i −0.213824 0.0976504i 0.305624 0.952152i \(-0.401135\pi\)
−0.519448 + 0.854502i \(0.673862\pi\)
\(284\) 13.3325 8.08566i 0.791140 0.479795i
\(285\) 1.20929 + 0.173870i 0.0716324 + 0.0102992i
\(286\) −1.06152 + 1.88524i −0.0627687 + 0.111476i
\(287\) −25.3918 7.45570i −1.49883 0.440096i
\(288\) 1.55952 5.43764i 0.0918958 0.320416i
\(289\) −1.82885 4.00463i −0.107579 0.235566i
\(290\) −4.25996 8.04896i −0.250154 0.472651i
\(291\) 2.46878 + 2.13921i 0.144722 + 0.125403i
\(292\) −19.8028 18.0832i −1.15887 1.05824i
\(293\) 8.40438 + 5.40117i 0.490989 + 0.315540i 0.762603 0.646867i \(-0.223921\pi\)
−0.271614 + 0.962406i \(0.587557\pi\)
\(294\) 12.7441 12.4165i 0.743252 0.724144i
\(295\) 8.98161 5.77213i 0.522930 0.336066i
\(296\) −11.7798 7.04294i −0.684686 0.409363i
\(297\) 0.205881 + 0.701166i 0.0119464 + 0.0406858i
\(298\) −7.71516 10.5909i −0.446927 0.613517i
\(299\) −7.91058 6.18270i −0.457480 0.357555i
\(300\) −2.12833 + 6.60690i −0.122879 + 0.381449i
\(301\) 9.27271 + 31.5799i 0.534470 + 1.82024i
\(302\) −15.6176 3.61101i −0.898694 0.207790i
\(303\) 3.41339 + 5.31134i 0.196094 + 0.305129i
\(304\) −3.50421 1.82648i −0.200980 0.104756i
\(305\) −9.66442 6.21095i −0.553383 0.355638i
\(306\) 1.30736 + 6.41060i 0.0747367 + 0.366469i
\(307\) −18.3143 + 21.1358i −1.04525 + 1.20628i −0.0672376 + 0.997737i \(0.521419\pi\)
−0.978013 + 0.208546i \(0.933127\pi\)
\(308\) −2.83893 + 5.81101i −0.161763 + 0.331113i
\(309\) 6.25383 + 13.6940i 0.355768 + 0.779023i
\(310\) 2.58229 0.925025i 0.146664 0.0525379i
\(311\) −2.00260 + 6.82024i −0.113557 + 0.386740i −0.996584 0.0825817i \(-0.973683\pi\)
0.883027 + 0.469322i \(0.155502\pi\)
\(312\) 4.34732 4.02029i 0.246118 0.227604i
\(313\) 20.8212 + 2.99364i 1.17688 + 0.169210i 0.702878 0.711311i \(-0.251898\pi\)
0.474007 + 0.880521i \(0.342807\pi\)
\(314\) −5.88066 0.497634i −0.331865 0.0280831i
\(315\) −2.27332 + 4.97788i −0.128087 + 0.280472i
\(316\) 23.8530 19.6049i 1.34184 1.10286i
\(317\) 25.3622 3.64654i 1.42449 0.204810i 0.613416 0.789760i \(-0.289795\pi\)
0.811069 + 0.584950i \(0.198886\pi\)
\(318\) 15.8468 + 6.14675i 0.888643 + 0.344692i
\(319\) −2.49184 2.87573i −0.139516 0.161010i
\(320\) −5.98206 + 7.88005i −0.334407 + 0.440508i
\(321\) 18.1368i 1.01230i
\(322\) −24.6848 17.0705i −1.37563 0.951303i
\(323\) 4.57035 0.254301
\(324\) 0.0520784 1.99932i 0.00289324 0.111073i
\(325\) −5.49108 + 4.75805i −0.304590 + 0.263929i
\(326\) −11.0582 4.28932i −0.612456 0.237563i
\(327\) −0.810003 5.63370i −0.0447933 0.311544i
\(328\) −16.3755 4.23832i −0.904187 0.234022i
\(329\) −12.9209 5.90077i −0.712351 0.325320i
\(330\) 0.107767 1.27351i 0.00593237 0.0701043i
\(331\) 2.46620 17.1528i 0.135554 0.942802i −0.802583 0.596540i \(-0.796542\pi\)
0.938138 0.346262i \(-0.112549\pi\)
\(332\) 1.95792 + 16.6928i 0.107455 + 0.916139i
\(333\) −4.65585 1.36708i −0.255139 0.0749155i
\(334\) −0.836092 + 0.299504i −0.0457489 + 0.0163881i
\(335\) −9.22336 + 4.21217i −0.503926 + 0.230135i
\(336\) 12.2720 12.7554i 0.669490 0.695866i
\(337\) 7.93637 + 6.87690i 0.432322 + 0.374609i 0.843663 0.536872i \(-0.180394\pi\)
−0.411342 + 0.911481i \(0.634940\pi\)
\(338\) −11.9409 + 2.43519i −0.649498 + 0.132457i
\(339\) 2.08347 3.24194i 0.113159 0.176078i
\(340\) 1.92280 11.2797i 0.104278 0.611730i
\(341\) 0.964172 0.619636i 0.0522128 0.0335551i
\(342\) −1.36121 0.314729i −0.0736056 0.0170186i
\(343\) 23.6976 6.95823i 1.27955 0.375709i
\(344\) 6.57645 + 19.9831i 0.354578 + 1.07742i
\(345\) 5.76789 + 1.38100i 0.310533 + 0.0743505i
\(346\) 6.68760 4.87170i 0.359527 0.261904i
\(347\) −31.6329 + 9.28826i −1.69814 + 0.498620i −0.980288 0.197572i \(-0.936694\pi\)
−0.717856 + 0.696192i \(0.754876\pi\)
\(348\) 4.07804 + 9.58243i 0.218606 + 0.513672i
\(349\) 7.84283 + 12.2037i 0.419817 + 0.653248i 0.985166 0.171604i \(-0.0548949\pi\)
−0.565349 + 0.824852i \(0.691259\pi\)
\(350\) −15.5565 + 15.1565i −0.831528 + 0.810150i
\(351\) 1.13183 1.76116i 0.0604127 0.0940039i
\(352\) −1.69356 + 3.77101i −0.0902669 + 0.200995i
\(353\) 18.6407 21.5125i 0.992142 1.14499i 0.00271018 0.999996i \(-0.499137\pi\)
0.989432 0.144997i \(-0.0463172\pi\)
\(354\) −10.7910 + 5.71119i −0.573534 + 0.303547i
\(355\) −8.77033 + 4.00528i −0.465481 + 0.212578i
\(356\) −25.9572 17.6533i −1.37573 0.935624i
\(357\) −5.76754 + 19.6424i −0.305250 + 1.03959i
\(358\) −1.47276 + 2.61560i −0.0778378 + 0.138239i
\(359\) −0.558026 + 3.88116i −0.0294515 + 0.204840i −0.999234 0.0391311i \(-0.987541\pi\)
0.969783 + 0.243971i \(0.0784501\pi\)
\(360\) −1.34943 + 3.22708i −0.0711214 + 0.170082i
\(361\) 7.48745 16.3952i 0.394076 0.862907i
\(362\) −0.621038 10.6260i −0.0326411 0.558490i
\(363\) 1.48946 + 10.3595i 0.0781766 + 0.543730i
\(364\) 17.9072 4.75521i 0.938592 0.249241i
\(365\) 10.8589 + 12.5319i 0.568383 + 0.655948i
\(366\) 10.4136 + 8.00917i 0.544325 + 0.418646i
\(367\) −20.8520 −1.08847 −0.544233 0.838934i \(-0.683179\pi\)
−0.544233 + 0.838934i \(0.683179\pi\)
\(368\) −16.1226 10.3953i −0.840447 0.541893i
\(369\) −5.98040 −0.311327
\(370\) 6.72701 + 5.17381i 0.349720 + 0.268973i
\(371\) 34.8282 + 40.1939i 1.80819 + 2.08676i
\(372\) −3.03167 + 0.805053i −0.157185 + 0.0417400i
\(373\) −3.33657 23.2063i −0.172761 1.20158i −0.873018 0.487688i \(-0.837840\pi\)
0.700257 0.713891i \(-0.253069\pi\)
\(374\) −0.278955 4.77293i −0.0144244 0.246802i
\(375\) 4.35166 9.52880i 0.224719 0.492065i
\(376\) −8.37640 3.50267i −0.431980 0.180636i
\(377\) −1.55137 + 10.7900i −0.0798995 + 0.555713i
\(378\) 3.07041 5.45301i 0.157925 0.280473i
\(379\) 9.28894 31.6352i 0.477141 1.62499i −0.271799 0.962354i \(-0.587619\pi\)
0.748940 0.662638i \(-0.230563\pi\)
\(380\) 2.02047 + 1.37411i 0.103648 + 0.0704904i
\(381\) −5.74436 + 2.62336i −0.294292 + 0.134399i
\(382\) 4.73467 2.50585i 0.242247 0.128211i
\(383\) −14.2698 + 16.4682i −0.729154 + 0.841488i −0.992376 0.123247i \(-0.960669\pi\)
0.263222 + 0.964735i \(0.415215\pi\)
\(384\) 7.57630 8.40236i 0.386626 0.428781i
\(385\) 2.16205 3.36422i 0.110188 0.171457i
\(386\) 22.4945 21.9162i 1.14494 1.11551i
\(387\) 4.02121 + 6.25713i 0.204410 + 0.318068i
\(388\) 2.55837 + 6.01157i 0.129882 + 0.305191i
\(389\) −14.2448 + 4.18265i −0.722240 + 0.212069i −0.622137 0.782908i \(-0.713735\pi\)
−0.100103 + 0.994977i \(0.531917\pi\)
\(390\) −2.95941 + 2.15583i −0.149855 + 0.109165i
\(391\) 22.0926 + 2.04285i 1.11727 + 0.103311i
\(392\) 33.8020 11.1243i 1.70726 0.561860i
\(393\) 11.1854 3.28434i 0.564231 0.165673i
\(394\) 15.4984 + 3.58344i 0.780798 + 0.180531i
\(395\) −16.0610 + 10.3218i −0.808118 + 0.519346i
\(396\) −0.245597 + 1.44075i −0.0123417 + 0.0724004i
\(397\) −13.7123 + 21.3368i −0.688203 + 1.07086i 0.304759 + 0.952430i \(0.401424\pi\)
−0.992962 + 0.118435i \(0.962212\pi\)
\(398\) 3.62679 0.739637i 0.181794 0.0370746i
\(399\) −3.30383 2.86278i −0.165398 0.143318i
\(400\) −9.62497 + 10.0042i −0.481249 + 0.500208i
\(401\) 6.39527 2.92062i 0.319364 0.145849i −0.249282 0.968431i \(-0.580195\pi\)
0.568646 + 0.822582i \(0.307467\pi\)
\(402\) 10.9160 3.91033i 0.544442 0.195030i
\(403\) −3.15038 0.925036i −0.156932 0.0460793i
\(404\) 1.47097 + 12.5412i 0.0731837 + 0.623950i
\(405\) −0.175998 + 1.22409i −0.00874541 + 0.0608256i
\(406\) −2.74765 + 32.4697i −0.136364 + 1.61145i
\(407\) 3.22553 + 1.47305i 0.159884 + 0.0730164i
\(408\) −3.27865 + 12.6677i −0.162318 + 0.627144i
\(409\) −0.679935 4.72905i −0.0336206 0.233836i 0.966082 0.258237i \(-0.0831415\pi\)
−0.999702 + 0.0244003i \(0.992232\pi\)
\(410\) 9.75141 + 3.78244i 0.481588 + 0.186801i
\(411\) 8.71673 7.55309i 0.429965 0.372566i
\(412\) −0.784010 + 30.0986i −0.0386254 + 1.48285i
\(413\) −38.2025 −1.87982
\(414\) −6.43925 2.12980i −0.316472 0.104674i
\(415\) 10.3926i 0.510153i
\(416\) 11.3417 3.40791i 0.556072 0.167086i
\(417\) −6.04634 6.97784i −0.296090 0.341706i
\(418\) 0.951868 + 0.369217i 0.0465574 + 0.0180590i
\(419\) −7.70676 + 1.10806i −0.376500 + 0.0541325i −0.327967 0.944689i \(-0.606364\pi\)
−0.0485326 + 0.998822i \(0.515454\pi\)
\(420\) −8.45537 + 6.94952i −0.412580 + 0.339102i
\(421\) 16.9905 37.2040i 0.828066 1.81321i 0.339897 0.940463i \(-0.389608\pi\)
0.488169 0.872749i \(-0.337665\pi\)
\(422\) −13.5696 1.14828i −0.660556 0.0558976i
\(423\) −3.17733 0.456831i −0.154487 0.0222119i
\(424\) 23.0805 + 24.9580i 1.12089 + 1.21207i
\(425\) 4.52352 15.4057i 0.219423 0.747286i
\(426\) 10.3799 3.71827i 0.502906 0.180151i
\(427\) 17.0764 + 37.3920i 0.826383 + 1.80953i
\(428\) −15.9226 + 32.5920i −0.769650 + 1.57539i
\(429\) −1.00184 + 1.15619i −0.0483695 + 0.0558214i
\(430\) −2.59937 12.7459i −0.125353 0.614664i
\(431\) −17.7959 11.4367i −0.857199 0.550888i 0.0366134 0.999330i \(-0.488343\pi\)
−0.893812 + 0.448441i \(0.851979\pi\)
\(432\) 1.84883 3.54709i 0.0889519 0.170659i
\(433\) 22.2808 + 34.6695i 1.07074 + 1.66611i 0.652530 + 0.757763i \(0.273708\pi\)
0.418215 + 0.908348i \(0.362656\pi\)
\(434\) −9.56261 2.21100i −0.459020 0.106132i
\(435\) −1.81420 6.17861i −0.0869844 0.296242i
\(436\) 3.49035 10.8349i 0.167158 0.518900i
\(437\) −2.35663 + 4.11018i −0.112733 + 0.196617i
\(438\) −11.1652 15.3270i −0.533493 0.732350i
\(439\) −7.26853 24.7543i −0.346908 1.18146i −0.929539 0.368723i \(-0.879795\pi\)
0.582631 0.812737i \(-0.302023\pi\)
\(440\) 1.31170 2.19390i 0.0625327 0.104590i
\(441\) 10.5841 6.80200i 0.504006 0.323905i
\(442\) −9.81040 + 9.55818i −0.466633 + 0.454636i
\(443\) −1.40668 0.904021i −0.0668336 0.0429513i 0.506797 0.862065i \(-0.330829\pi\)
−0.573631 + 0.819114i \(0.694466\pi\)
\(444\) −7.16643 6.54412i −0.340104 0.310570i
\(445\) 14.6695 + 12.7112i 0.695400 + 0.602567i
\(446\) 0.971156 + 1.83494i 0.0459856 + 0.0868872i
\(447\) −3.84895 8.42802i −0.182049 0.398632i
\(448\) 33.2511 12.1479i 1.57097 0.573933i
\(449\) 36.6064 + 10.7486i 1.72756 + 0.507258i 0.986442 0.164112i \(-0.0524759\pi\)
0.741122 + 0.671371i \(0.234294\pi\)
\(450\) −2.40814 + 4.27683i −0.113521 + 0.201612i
\(451\) 4.32579 + 0.621955i 0.203694 + 0.0292867i
\(452\) 6.59019 3.99669i 0.309976 0.187989i
\(453\) −10.3104 4.70860i −0.484424 0.221229i
\(454\) 3.82891 0.223781i 0.179700 0.0105026i
\(455\) −11.3399 + 1.63043i −0.531622 + 0.0764357i
\(456\) −2.16980 1.76060i −0.101610 0.0824478i
\(457\) 8.02012 6.94947i 0.375165 0.325083i −0.446785 0.894641i \(-0.647431\pi\)
0.821951 + 0.569559i \(0.192886\pi\)
\(458\) −22.9082 17.6189i −1.07043 0.823279i
\(459\) 4.62628i 0.215936i
\(460\) 9.15256 + 7.54542i 0.426740 + 0.351807i
\(461\) 35.2790i 1.64311i −0.570132 0.821553i \(-0.693108\pi\)
0.570132 0.821553i \(-0.306892\pi\)
\(462\) −2.78802 + 3.62500i −0.129711 + 0.168650i
\(463\) 27.1924 23.5623i 1.26374 1.09503i 0.272608 0.962125i \(-0.412114\pi\)
0.991128 0.132908i \(-0.0424316\pi\)
\(464\) −1.08433 + 20.7999i −0.0503388 + 0.965613i
\(465\) 1.91983 0.276030i 0.0890300 0.0128006i
\(466\) −1.31070 22.4262i −0.0607172 1.03887i
\(467\) −3.45882 1.57959i −0.160055 0.0730946i 0.333777 0.942652i \(-0.391677\pi\)
−0.493832 + 0.869558i \(0.664404\pi\)
\(468\) 3.58008 2.17118i 0.165489 0.100363i
\(469\) 35.9124 + 5.16343i 1.65828 + 0.238425i
\(470\) 4.89189 + 2.75446i 0.225646 + 0.127054i
\(471\) −4.00408 1.17570i −0.184498 0.0541736i
\(472\) −24.4055 + 0.789467i −1.12335 + 0.0363381i
\(473\) −2.25792 4.94416i −0.103819 0.227333i
\(474\) 19.2966 10.2128i 0.886321 0.469091i
\(475\) 2.59121 + 2.24530i 0.118893 + 0.103021i
\(476\) −27.6088 + 30.2343i −1.26545 + 1.38579i
\(477\) 10.1108 + 6.49785i 0.462944 + 0.297516i
\(478\) −3.91356 4.01683i −0.179002 0.183725i
\(479\) −6.83104 + 4.39004i −0.312118 + 0.200586i −0.687316 0.726359i \(-0.741211\pi\)
0.375198 + 0.926945i \(0.377575\pi\)
\(480\) −5.25807 + 4.61441i −0.239997 + 0.210618i
\(481\) −2.86198 9.74701i −0.130495 0.444425i
\(482\) −17.8350 + 12.9922i −0.812363 + 0.591780i
\(483\) −14.6908 15.3151i −0.668452 0.696862i
\(484\) −6.41819 + 19.9237i −0.291736 + 0.905623i
\(485\) −1.13815 3.87617i −0.0516806 0.176008i
\(486\) 0.318580 1.37786i 0.0144511 0.0625011i
\(487\) 8.34119 + 12.9791i 0.377976 + 0.588141i 0.977169 0.212463i \(-0.0681484\pi\)
−0.599194 + 0.800604i \(0.704512\pi\)
\(488\) 11.6819 + 23.5349i 0.528814 + 1.06537i
\(489\) −7.05555 4.53432i −0.319063 0.205049i
\(490\) −21.5601 + 4.39691i −0.973988 + 0.198632i
\(491\) −7.77485 + 8.97266i −0.350874 + 0.404930i −0.903562 0.428458i \(-0.859057\pi\)
0.552687 + 0.833389i \(0.313602\pi\)
\(492\) −10.7469 5.25031i −0.484506 0.236702i
\(493\) −10.0070 21.9124i −0.450695 0.986883i
\(494\) −0.986366 2.75353i −0.0443787 0.123887i
\(495\) 0.254609 0.867117i 0.0114438 0.0389740i
\(496\) −6.15473 1.21488i −0.276355 0.0545496i
\(497\) 34.1485 + 4.90981i 1.53177 + 0.220235i
\(498\) −1.00211 + 11.8422i −0.0449057 + 0.530662i
\(499\) −15.5691 + 34.0916i −0.696970 + 1.52615i 0.146637 + 0.989190i \(0.453155\pi\)
−0.843607 + 0.536961i \(0.819572\pi\)
\(500\) 16.1855 13.3030i 0.723838 0.594927i
\(501\) −0.621602 + 0.0893729i −0.0277711 + 0.00399289i
\(502\) 9.59017 24.7242i 0.428030 1.10349i
\(503\) 8.08435 + 9.32984i 0.360463 + 0.415997i 0.906795 0.421572i \(-0.138522\pi\)
−0.546331 + 0.837569i \(0.683976\pi\)
\(504\) 10.3049 7.10355i 0.459016 0.316417i
\(505\) 7.80791i 0.347447i
\(506\) 4.43620 + 2.21022i 0.197213 + 0.0982562i
\(507\) −8.61726 −0.382706
\(508\) −12.6258 0.328877i −0.560179 0.0145916i
\(509\) 24.8196 21.5063i 1.10011 0.953252i 0.100979 0.994889i \(-0.467803\pi\)
0.999133 + 0.0416366i \(0.0132572\pi\)
\(510\) 2.92600 7.54344i 0.129565 0.334029i
\(511\) −8.44408 58.7299i −0.373544 2.59806i
\(512\) 20.9913 8.44777i 0.927694 0.373342i
\(513\) −0.898636 0.410393i −0.0396757 0.0181193i
\(514\) −18.5393 1.56884i −0.817735 0.0691984i
\(515\) 2.64955 18.4280i 0.116753 0.812034i
\(516\) 1.73291 + 14.7744i 0.0762871 + 0.650409i
\(517\) 2.25074 + 0.660877i 0.0989875 + 0.0290653i
\(518\) −10.2406 28.5876i −0.449946 1.25606i
\(519\) 5.32183 2.43040i 0.233602 0.106683i
\(520\) −7.21075 + 1.27594i −0.316212 + 0.0559535i
\(521\) 2.52519 + 2.18809i 0.110631 + 0.0958620i 0.708420 0.705792i \(-0.249408\pi\)
−0.597789 + 0.801654i \(0.703954\pi\)
\(522\) 1.47148 + 7.21536i 0.0644050 + 0.315808i
\(523\) 4.99151 7.76694i 0.218264 0.339625i −0.714805 0.699324i \(-0.753484\pi\)
0.933068 + 0.359699i \(0.117121\pi\)
\(524\) 22.9838 + 3.91792i 1.00405 + 0.171155i
\(525\) −12.9198 + 8.30305i −0.563866 + 0.362375i
\(526\) −4.14562 + 17.9298i −0.180757 + 0.781777i
\(527\) 6.96181 2.04417i 0.303261 0.0890456i
\(528\) −1.70621 + 2.37343i −0.0742531 + 0.103290i
\(529\) −13.2289 + 18.8148i −0.575168 + 0.818035i
\(530\) −12.3767 16.9900i −0.537608 0.737998i
\(531\) −8.28346 + 2.43224i −0.359471 + 0.105550i
\(532\) −3.42372 8.04495i −0.148437 0.348793i
\(533\) −6.76880 10.5325i −0.293189 0.456211i
\(534\) −15.4900 15.8987i −0.670316 0.688004i
\(535\) 12.1262 18.8688i 0.524263 0.815769i
\(536\) 23.0492 + 2.55649i 0.995575 + 0.110424i
\(537\) −1.38997 + 1.60411i −0.0599817 + 0.0692226i
\(538\) 0.212334 + 0.401193i 0.00915436 + 0.0172966i
\(539\) −8.36320 + 3.81934i −0.360228 + 0.164511i
\(540\) −1.39093 + 2.04520i −0.0598559 + 0.0880113i
\(541\) 0.914518 3.11456i 0.0393182 0.133905i −0.937495 0.347999i \(-0.886861\pi\)
0.976813 + 0.214093i \(0.0686796\pi\)
\(542\) −5.84771 3.29265i −0.251181 0.141432i
\(543\) 1.07114 7.44993i 0.0459669 0.319707i
\(544\) −17.0130 + 19.8856i −0.729426 + 0.852588i
\(545\) −2.92399 + 6.40265i −0.125250 + 0.274259i
\(546\) 13.0788 0.764394i 0.559722 0.0327130i
\(547\) −2.01238 13.9964i −0.0860430 0.598442i −0.986533 0.163565i \(-0.947701\pi\)
0.900490 0.434877i \(-0.143208\pi\)
\(548\) 22.2951 5.92040i 0.952399 0.252907i
\(549\) 6.08332 + 7.02052i 0.259630 + 0.299629i
\(550\) 2.18666 2.84311i 0.0932397 0.121231i
\(551\) 5.14410 0.219146
\(552\) −9.70163 9.48042i −0.412929 0.403514i
\(553\) 68.3141 2.90501
\(554\) −21.0179 + 27.3275i −0.892964 + 1.16104i
\(555\) 3.92973 + 4.53515i 0.166808 + 0.192507i
\(556\) −4.73935 17.8475i −0.200993 0.756902i
\(557\) −1.55921 10.8445i −0.0660659 0.459498i −0.995822 0.0913210i \(-0.970891\pi\)
0.929756 0.368177i \(-0.120018\pi\)
\(558\) −2.21423 + 0.129411i −0.0937359 + 0.00547841i
\(559\) −6.46849 + 14.1640i −0.273588 + 0.599074i
\(560\) −21.2955 + 5.06523i −0.899901 + 0.214045i
\(561\) 0.481128 3.34632i 0.0203133 0.141282i
\(562\) −19.0373 10.7193i −0.803040 0.452165i
\(563\) 7.56910 25.7780i 0.318999 1.08641i −0.631420 0.775441i \(-0.717528\pi\)
0.950419 0.310971i \(-0.100654\pi\)
\(564\) −5.30864 3.61037i −0.223534 0.152024i
\(565\) −4.33512 + 1.97978i −0.182380 + 0.0832901i
\(566\) −2.61602 4.94283i −0.109960 0.207763i
\(567\) 2.89781 3.34425i 0.121697 0.140446i
\(568\) 21.9171 + 2.43092i 0.919621 + 0.101999i
\(569\) 17.2572 26.8527i 0.723460 1.12573i −0.263484 0.964664i \(-0.584872\pi\)
0.986944 0.161062i \(-0.0514919\pi\)
\(570\) 1.20572 + 1.23753i 0.0505020 + 0.0518346i
\(571\) −18.8554 29.3396i −0.789075 1.22783i −0.969706 0.244274i \(-0.921450\pi\)
0.180631 0.983551i \(-0.442186\pi\)
\(572\) −2.81537 + 1.19815i −0.117717 + 0.0500971i
\(573\) 3.63447 1.06718i 0.151832 0.0445819i
\(574\) −22.0362 30.2501i −0.919773 1.26261i
\(575\) 11.5221 + 12.0118i 0.480503 + 0.500925i
\(576\) 6.43643 4.75103i 0.268185 0.197960i
\(577\) 9.67550 2.84098i 0.402796 0.118272i −0.0740583 0.997254i \(-0.523595\pi\)
0.476854 + 0.878982i \(0.341777\pi\)
\(578\) 1.40254 6.06600i 0.0583380 0.252312i
\(579\) 18.6819 12.0061i 0.776394 0.498958i
\(580\) 2.16418 12.6958i 0.0898627 0.527163i
\(581\) −20.1047 + 31.2835i −0.834084 + 1.29786i
\(582\) 0.923138 + 4.52658i 0.0382653 + 0.187633i
\(583\) −6.63770 5.75160i −0.274905 0.238207i
\(584\) −6.60814 37.3449i −0.273447 1.54534i
\(585\) −2.35503 + 1.07550i −0.0973684 + 0.0444666i
\(586\) 4.76460 + 13.3008i 0.196824 + 0.549451i
\(587\) 25.1896 + 7.39633i 1.03969 + 0.305279i 0.756643 0.653828i \(-0.226838\pi\)
0.283042 + 0.959107i \(0.408656\pi\)
\(588\) 24.9914 2.93127i 1.03063 0.120883i
\(589\) −0.220504 + 1.53364i −0.00908572 + 0.0631925i
\(590\) 15.0450 + 1.27314i 0.619394 + 0.0524144i
\(591\) 10.2317 + 4.67265i 0.420875 + 0.192207i
\(592\) −7.13295 18.0514i −0.293162 0.741909i
\(593\) −4.76892 33.1686i −0.195836 1.36207i −0.816206 0.577761i \(-0.803927\pi\)
0.620370 0.784309i \(-0.286982\pi\)
\(594\) −0.373735 + 0.963516i −0.0153345 + 0.0395335i
\(595\) 19.1332 16.5791i 0.784387 0.679675i
\(596\) 0.482523 18.5243i 0.0197649 0.758786i
\(597\) 2.61731 0.107119
\(598\) −3.53722 13.7511i −0.144648 0.562326i
\(599\) 39.2585i 1.60406i 0.597285 + 0.802029i \(0.296246\pi\)
−0.597285 + 0.802029i \(0.703754\pi\)
\(600\) −8.08218 + 5.57137i −0.329954 + 0.227450i
\(601\) −15.4433 17.8225i −0.629944 0.726994i 0.347619 0.937636i \(-0.386990\pi\)
−0.977563 + 0.210642i \(0.932445\pi\)
\(602\) −16.8327 + 43.3960i −0.686050 + 1.76869i
\(603\) 8.11565 1.16685i 0.330495 0.0475180i
\(604\) −14.3941 17.5131i −0.585689 0.712599i
\(605\) 5.37674 11.7734i 0.218596 0.478658i
\(606\) −0.752881 + 8.89699i −0.0305837 + 0.361415i
\(607\) −27.0325 3.88668i −1.09721 0.157756i −0.430151 0.902757i \(-0.641540\pi\)
−0.667063 + 0.745001i \(0.732449\pi\)
\(608\) −2.35349 5.06874i −0.0954464 0.205564i
\(609\) −6.49158 + 22.1083i −0.263052 + 0.895873i
\(610\) −5.47894 15.2949i −0.221836 0.619274i
\(611\) −2.79164 6.11285i −0.112938 0.247299i
\(612\) −4.06151 + 8.31349i −0.164177 + 0.336053i
\(613\) −7.44027 + 8.58653i −0.300510 + 0.346807i −0.885842 0.463987i \(-0.846419\pi\)
0.585332 + 0.810793i \(0.300964\pi\)
\(614\) −38.7531 + 7.90321i −1.56395 + 0.318948i
\(615\) 6.22178 + 3.99849i 0.250886 + 0.161235i
\(616\) −8.19257 + 4.06651i −0.330088 + 0.163844i
\(617\) −1.73083 2.69322i −0.0696806 0.108425i 0.804665 0.593730i \(-0.202345\pi\)
−0.874345 + 0.485304i \(0.838709\pi\)
\(618\) −4.79604 + 20.7429i −0.192925 + 0.834403i
\(619\) 13.3916 + 45.6075i 0.538252 + 1.83312i 0.552933 + 0.833226i \(0.313509\pi\)
−0.0146806 + 0.999892i \(0.504673\pi\)
\(620\) 3.69229 + 1.18943i 0.148286 + 0.0477686i
\(621\) −4.16047 2.38547i −0.166954 0.0957255i
\(622\) −8.12518 + 5.91893i −0.325790 + 0.237327i
\(623\) −19.5676 66.6412i −0.783960 2.66992i
\(624\) 8.33956 0.758609i 0.333850 0.0303687i
\(625\) 3.70011 2.37792i 0.148005 0.0951167i
\(626\) 20.7596 + 21.3074i 0.829722 + 0.851616i
\(627\) 0.607328 + 0.390306i 0.0242544 + 0.0155873i
\(628\) −6.16321 5.62802i −0.245939 0.224582i
\(629\) 16.9655 + 14.7007i 0.676459 + 0.586155i
\(630\) −6.84022 + 3.62023i −0.272521 + 0.144233i
\(631\) 19.5919 + 42.9003i 0.779942 + 1.70783i 0.703429 + 0.710765i \(0.251651\pi\)
0.0765122 + 0.997069i \(0.475622\pi\)
\(632\) 43.6422 1.41173i 1.73599 0.0561558i
\(633\) −9.23936 2.71292i −0.367232 0.107829i
\(634\) 31.5752 + 17.7789i 1.25401 + 0.706091i
\(635\) 7.73019 + 1.11143i 0.306763 + 0.0441059i
\(636\) 12.4647 + 20.5532i 0.494259 + 0.814989i
\(637\) 23.9589 + 10.9416i 0.949285 + 0.433524i
\(638\) −0.313974 5.37211i −0.0124303 0.212684i
\(639\) 7.71702 1.10954i 0.305281 0.0438927i
\(640\) −13.4999 + 3.67599i −0.533631 + 0.145306i
\(641\) −10.2819 + 8.90928i −0.406109 + 0.351895i −0.833836 0.552013i \(-0.813860\pi\)
0.427727 + 0.903908i \(0.359315\pi\)
\(642\) −15.6371 + 20.3314i −0.617146 + 0.802417i
\(643\) 49.7801i 1.96314i 0.191111 + 0.981568i \(0.438791\pi\)
−0.191111 + 0.981568i \(0.561209\pi\)
\(644\) −12.9540 40.4188i −0.510460 1.59272i
\(645\) 9.19825i 0.362181i
\(646\) 5.12339 + 3.94045i 0.201577 + 0.155035i
\(647\) 34.7448 30.1065i 1.36596 1.18361i 0.402604 0.915374i \(-0.368105\pi\)
0.963354 0.268234i \(-0.0864402\pi\)
\(648\) 1.78215 2.19635i 0.0700094 0.0862808i
\(649\) 6.24461 0.897840i 0.245123 0.0352433i
\(650\) −10.2578 + 0.599519i −0.402344 + 0.0235151i
\(651\) −6.31300 2.88305i −0.247426 0.112996i
\(652\) −8.69813 14.3424i −0.340645 0.561694i
\(653\) 20.9353 + 3.01005i 0.819263 + 0.117792i 0.539187 0.842186i \(-0.318731\pi\)
0.280075 + 0.959978i \(0.409641\pi\)
\(654\) 3.94922 7.01377i 0.154427 0.274260i
\(655\) −13.8328 4.06168i −0.540493 0.158703i
\(656\) −14.7029 18.8698i −0.574051 0.736741i
\(657\) −5.57010 12.1968i −0.217310 0.475843i
\(658\) −9.39687 17.7549i −0.366328 0.692157i
\(659\) −20.0271 17.3536i −0.780147 0.676001i 0.170817 0.985303i \(-0.445359\pi\)
−0.950964 + 0.309302i \(0.899905\pi\)
\(660\) 1.21880 1.33470i 0.0474415 0.0519529i
\(661\) −19.3448 12.4322i −0.752426 0.483555i 0.107353 0.994221i \(-0.465762\pi\)
−0.859779 + 0.510666i \(0.829399\pi\)
\(662\) 17.5533 17.1021i 0.682230 0.664690i
\(663\) −8.14763 + 5.23617i −0.316428 + 0.203356i
\(664\) −12.1973 + 20.4008i −0.473348 + 0.791706i
\(665\) 1.52312 + 5.18727i 0.0590640 + 0.201154i
\(666\) −4.04056 5.54666i −0.156569 0.214929i
\(667\) 24.8660 + 2.29930i 0.962817 + 0.0890292i
\(668\) −1.19549 0.385113i −0.0462549 0.0149005i
\(669\) 0.413589 + 1.40856i 0.0159903 + 0.0544579i
\(670\) −13.9711 3.23030i −0.539750 0.124797i
\(671\) −3.67011 5.71080i −0.141683 0.220463i
\(672\) 24.7543 3.71832i 0.954920 0.143437i
\(673\) 37.2842 + 23.9611i 1.43720 + 0.923632i 0.999702 + 0.0244118i \(0.00777130\pi\)
0.437497 + 0.899220i \(0.355865\pi\)
\(674\) 2.96761 + 14.5516i 0.114308 + 0.560506i
\(675\) −2.27277 + 2.62292i −0.0874791 + 0.100956i
\(676\) −15.4853 7.56527i −0.595590 0.290972i
\(677\) 2.69503 + 5.90128i 0.103578 + 0.226805i 0.954325 0.298772i \(-0.0965769\pi\)
−0.850746 + 0.525576i \(0.823850\pi\)
\(678\) 5.13070 1.83792i 0.197044 0.0705847i
\(679\) −4.07251 + 13.8697i −0.156289 + 0.532270i
\(680\) 11.8806 10.9869i 0.455600 0.421327i
\(681\) 2.68446 + 0.385968i 0.102869 + 0.0147903i
\(682\) 1.61508 + 0.136671i 0.0618445 + 0.00523341i
\(683\) 12.4250 27.2069i 0.475429 1.04104i −0.508267 0.861200i \(-0.669714\pi\)
0.983695 0.179844i \(-0.0575592\pi\)
\(684\) −1.25457 1.52641i −0.0479696 0.0583638i
\(685\) −14.1185 + 2.02994i −0.539442 + 0.0775600i
\(686\) 32.5643 + 12.6313i 1.24331 + 0.482263i
\(687\) −13.3824 15.4441i −0.510569 0.589228i
\(688\) −9.85673 + 28.0712i −0.375784 + 1.07021i
\(689\) 25.1613i 0.958570i
\(690\) 5.27517 + 6.52104i 0.200822 + 0.248252i
\(691\) 31.1812 1.18619 0.593094 0.805133i \(-0.297906\pi\)
0.593094 + 0.805133i \(0.297906\pi\)
\(692\) 11.6971 + 0.304686i 0.444657 + 0.0115824i
\(693\) −2.44387 + 2.11763i −0.0928350 + 0.0804420i
\(694\) −43.4688 16.8610i −1.65005 0.640033i
\(695\) 1.62499 + 11.3021i 0.0616394 + 0.428712i
\(696\) −3.69024 + 14.2579i −0.139878 + 0.540446i
\(697\) 25.1668 + 11.4933i 0.953260 + 0.435339i
\(698\) −1.72987 + 20.4423i −0.0654764 + 0.773752i
\(699\) 2.26064 15.7231i 0.0855053 0.594702i
\(700\) −30.5065 + 3.57813i −1.15304 + 0.135241i
\(701\) 20.0940 + 5.90014i 0.758941 + 0.222845i 0.638233 0.769843i \(-0.279665\pi\)
0.120708 + 0.992688i \(0.461484\pi\)
\(702\) 2.78722 0.998436i 0.105197 0.0376835i
\(703\) −4.36054 + 1.99139i −0.164461 + 0.0751068i
\(704\) −5.14976 + 2.76718i −0.194089 + 0.104292i
\(705\) 3.00013 + 2.59963i 0.112991 + 0.0979077i
\(706\) 39.4438 8.04406i 1.48449 0.302742i
\(707\) −15.1045 + 23.5031i −0.568065 + 0.883926i
\(708\) −17.0208 2.90145i −0.639681 0.109043i
\(709\) 1.90619 1.22503i 0.0715884 0.0460071i −0.504357 0.863495i \(-0.668270\pi\)
0.575945 + 0.817488i \(0.304634\pi\)
\(710\) −13.2848 3.07163i −0.498571 0.115276i
\(711\) 14.8126 4.34937i 0.555515 0.163114i
\(712\) −13.8779 42.1691i −0.520095 1.58035i
\(713\) −1.75140 + 7.31490i −0.0655903 + 0.273945i
\(714\) −23.4007 + 17.0466i −0.875748 + 0.637954i
\(715\) 1.81531 0.533023i 0.0678887 0.0199339i
\(716\) −3.90608 + 1.66233i −0.145977 + 0.0621241i
\(717\) −2.14393 3.33602i −0.0800664 0.124586i
\(718\) −3.97179 + 3.86968i −0.148226 + 0.144415i
\(719\) −20.7821 + 32.3376i −0.775042 + 1.20599i 0.199084 + 0.979982i \(0.436203\pi\)
−0.974126 + 0.226006i \(0.927433\pi\)
\(720\) −4.29503 + 2.45412i −0.160066 + 0.0914598i
\(721\) −43.6249 + 50.3458i −1.62468 + 1.87498i
\(722\) 22.5291 11.9236i 0.838445 0.443752i
\(723\) −14.1927 + 6.48158i −0.527832 + 0.241053i
\(724\) 8.46530 12.4472i 0.314610 0.462598i
\(725\) 5.09139 17.3397i 0.189089 0.643979i
\(726\) −7.26197 + 12.8972i −0.269517 + 0.478659i
\(727\) −3.36225 + 23.3849i −0.124699 + 0.867299i 0.827423 + 0.561580i \(0.189806\pi\)
−0.952122 + 0.305720i \(0.901103\pi\)
\(728\) 24.1739 + 10.1085i 0.895944 + 0.374647i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 1.36824 + 23.4106i 0.0506407 + 0.866466i
\(731\) −4.89700 34.0594i −0.181122 1.25973i
\(732\) 4.76834 + 17.9566i 0.176243 + 0.663696i
\(733\) −9.05965 10.4554i −0.334626 0.386179i 0.563354 0.826216i \(-0.309511\pi\)
−0.897980 + 0.440037i \(0.854965\pi\)
\(734\) −23.3752 17.9781i −0.862794 0.663583i
\(735\) −15.5591 −0.573907
\(736\) −9.11089 25.5537i −0.335832 0.941922i
\(737\) −5.99163 −0.220705
\(738\) −6.70406 5.15616i −0.246780 0.189801i
\(739\) −19.0633 22.0002i −0.701254 0.809290i 0.287668 0.957730i \(-0.407120\pi\)
−0.988921 + 0.148440i \(0.952575\pi\)
\(740\) 3.08028 + 11.5997i 0.113233 + 0.426414i
\(741\) −0.294334 2.04714i −0.0108126 0.0752036i
\(742\) 4.38839 + 75.0856i 0.161103 + 2.75648i
\(743\) 16.1984 35.4695i 0.594260 1.30125i −0.338573 0.940940i \(-0.609944\pi\)
0.932833 0.360308i \(-0.117329\pi\)
\(744\) −4.09262 1.71137i −0.150043 0.0627417i
\(745\) −1.63068 + 11.3416i −0.0597433 + 0.415524i
\(746\) 16.2676 28.8911i 0.595601 1.05778i
\(747\) −2.36758 + 8.06323i −0.0866252 + 0.295018i
\(748\) 3.80240 5.59099i 0.139029 0.204427i
\(749\) −73.0040 + 33.3398i −2.66751 + 1.21821i
\(750\) 13.0937 6.92994i 0.478116 0.253046i
\(751\) −1.45464 + 1.67874i −0.0530806 + 0.0612582i −0.781669 0.623694i \(-0.785631\pi\)
0.728588 + 0.684952i \(0.240177\pi\)
\(752\) −6.37007 11.1484i −0.232293 0.406542i
\(753\) 10.1380 15.7750i 0.369448 0.574872i
\(754\) −11.0420 + 10.7581i −0.402125 + 0.391786i
\(755\) 7.57837 + 11.7922i 0.275805 + 0.429161i
\(756\) 8.14340 3.46562i 0.296173 0.126043i
\(757\) 5.03249 1.47767i 0.182909 0.0537069i −0.188995 0.981978i \(-0.560523\pi\)
0.371904 + 0.928271i \(0.378705\pi\)
\(758\) 37.6881 27.4545i 1.36889 0.997194i
\(759\) 2.76130 + 2.15816i 0.100229 + 0.0783363i
\(760\) 1.08024 + 3.28239i 0.0391843 + 0.119065i
\(761\) −48.2097 + 14.1556i −1.74760 + 0.513142i −0.990181 0.139789i \(-0.955358\pi\)
−0.757418 + 0.652930i \(0.773540\pi\)
\(762\) −8.70126 2.01185i −0.315213 0.0728815i
\(763\) 21.1878 13.6165i 0.767048 0.492952i
\(764\) 7.46808 + 1.27304i 0.270186 + 0.0460571i
\(765\) 3.09313 4.81300i 0.111832 0.174015i
\(766\) −30.1951 + 6.15790i −1.09099 + 0.222494i
\(767\) −13.6591 11.8356i −0.493200 0.427360i
\(768\) 15.7374 2.88699i 0.567874 0.104175i
\(769\) 6.34962 2.89977i 0.228973 0.104569i −0.297625 0.954683i \(-0.596195\pi\)
0.526598 + 0.850114i \(0.323467\pi\)
\(770\) 5.32422 1.90724i 0.191872 0.0687321i
\(771\) −12.6232 3.70652i −0.454615 0.133487i
\(772\) 44.1121 5.17395i 1.58763 0.186215i
\(773\) 0.775966 5.39696i 0.0279096 0.194115i −0.971097 0.238687i