Properties

Label 588.2.x.a.55.14
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.14
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0312592 + 1.41387i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99805 - 0.0883928i) q^{4} +(1.63442 - 3.39390i) q^{5} +(0.641618 - 1.26029i) q^{6} +(0.364664 + 2.62050i) q^{7} +(0.187433 - 2.82221i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.0312592 + 1.41387i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99805 - 0.0883928i) q^{4} +(1.63442 - 3.39390i) q^{5} +(0.641618 - 1.26029i) q^{6} +(0.364664 + 2.62050i) q^{7} +(0.187433 - 2.82221i) q^{8} +(0.623490 + 0.781831i) q^{9} +(4.74743 + 2.41694i) q^{10} +(-3.48475 - 2.77900i) q^{11} +(1.76182 + 0.946559i) q^{12} +(0.0601076 + 0.0479342i) q^{13} +(-3.71644 + 0.433672i) q^{14} +(-2.94511 + 2.34865i) q^{15} +(3.98437 + 0.353226i) q^{16} +(-5.54435 - 1.26546i) q^{17} +(-1.12490 + 0.857093i) q^{18} -8.34358 q^{19} +(-3.56563 + 6.63669i) q^{20} +(0.808442 - 2.51921i) q^{21} +(4.03806 - 4.84011i) q^{22} +(6.27198 - 1.43154i) q^{23} +(-1.39338 + 2.46140i) q^{24} +(-5.72978 - 7.18492i) q^{25} +(-0.0696516 + 0.0834858i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-0.496982 - 5.26811i) q^{28} +(1.35757 - 5.94790i) q^{29} +(-3.22862 - 4.23742i) q^{30} -0.0893613 q^{31} +(-0.623963 + 5.62234i) q^{32} +(1.93389 + 4.01576i) q^{33} +(1.96251 - 7.79942i) q^{34} +(9.48972 + 3.04535i) q^{35} +(-1.17665 - 1.61725i) q^{36} +(1.67314 - 7.33048i) q^{37} +(0.260814 - 11.7967i) q^{38} +(-0.0333572 - 0.0692669i) q^{39} +(-9.27195 - 5.24879i) q^{40} +(-2.59948 + 5.39787i) q^{41} +(3.53656 + 1.22178i) q^{42} +(-1.87459 - 3.89263i) q^{43} +(6.71705 + 5.86059i) q^{44} +(3.67250 - 0.838224i) q^{45} +(1.82795 + 8.91250i) q^{46} +(-0.265244 + 0.332606i) q^{47} +(-3.43654 - 2.04700i) q^{48} +(-6.73404 + 1.91120i) q^{49} +(10.3376 - 7.87656i) q^{50} +(4.44622 + 3.54574i) q^{51} +(-0.115861 - 0.101088i) q^{52} +(-1.25947 - 5.51810i) q^{53} +(1.38538 - 0.284140i) q^{54} +(-15.1272 + 7.28485i) q^{55} +(7.46395 - 0.537990i) q^{56} +(7.51730 + 3.62014i) q^{57} +(8.36711 + 2.10535i) q^{58} +(-3.16168 + 1.52258i) q^{59} +(6.09208 - 4.43238i) q^{60} +(9.24207 + 2.10944i) q^{61} +(0.00279336 - 0.126345i) q^{62} +(-1.82143 + 1.91896i) q^{63} +(-7.92974 - 1.05795i) q^{64} +(0.260925 - 0.125655i) q^{65} +(-5.73821 + 2.60874i) q^{66} +0.257085i q^{67} +(10.9660 + 3.01853i) q^{68} +(-6.27198 - 1.43154i) q^{69} +(-4.60237 + 13.3220i) q^{70} +(8.57858 - 1.95800i) q^{71} +(2.32336 - 1.61308i) q^{72} +(-1.62689 + 1.29740i) q^{73} +(10.3120 + 2.59474i) q^{74} +(2.04494 + 8.95945i) q^{75} +(16.6709 + 0.737512i) q^{76} +(6.01159 - 10.1452i) q^{77} +(0.0989770 - 0.0449974i) q^{78} -3.00184i q^{79} +(7.71093 - 12.9452i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-7.55062 - 3.84405i) q^{82} +(-9.36338 - 11.7413i) q^{83} +(-1.83798 + 4.96204i) q^{84} +(-13.3566 + 16.7487i) q^{85} +(5.56226 - 2.52875i) q^{86} +(-3.80383 + 4.76985i) q^{87} +(-8.49607 + 9.31382i) q^{88} +(6.00822 - 4.79140i) q^{89} +(1.07034 + 5.21863i) q^{90} +(-0.103693 + 0.174992i) q^{91} +(-12.6582 + 2.30588i) q^{92} +(0.0805117 + 0.0387724i) q^{93} +(-0.461969 - 0.385417i) q^{94} +(-13.6369 + 28.3173i) q^{95} +(3.00161 - 4.79482i) q^{96} +1.98364i q^{97} +(-2.49169 - 9.58079i) q^{98} -4.45716i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0312592 + 1.41387i −0.0221036 + 0.999756i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.99805 0.0883928i −0.999023 0.0441964i
\(5\) 1.63442 3.39390i 0.730933 1.51780i −0.120144 0.992756i \(-0.538336\pi\)
0.851077 0.525041i \(-0.175950\pi\)
\(6\) 0.641618 1.26029i 0.261939 0.514511i
\(7\) 0.364664 + 2.62050i 0.137830 + 0.990456i
\(8\) 0.187433 2.82221i 0.0662676 0.997802i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 4.74743 + 2.41694i 1.50127 + 0.764303i
\(11\) −3.48475 2.77900i −1.05069 0.837899i −0.0635872 0.997976i \(-0.520254\pi\)
−0.987104 + 0.160078i \(0.948826\pi\)
\(12\) 1.76182 + 0.946559i 0.508595 + 0.273248i
\(13\) 0.0601076 + 0.0479342i 0.0166708 + 0.0132946i 0.631790 0.775140i \(-0.282321\pi\)
−0.615119 + 0.788434i \(0.710892\pi\)
\(14\) −3.71644 + 0.433672i −0.993260 + 0.115904i
\(15\) −2.94511 + 2.34865i −0.760425 + 0.606419i
\(16\) 3.98437 + 0.353226i 0.996093 + 0.0883064i
\(17\) −5.54435 1.26546i −1.34470 0.306920i −0.511212 0.859454i \(-0.670803\pi\)
−0.833490 + 0.552535i \(0.813661\pi\)
\(18\) −1.12490 + 0.857093i −0.265141 + 0.202019i
\(19\) −8.34358 −1.91415 −0.957074 0.289843i \(-0.906397\pi\)
−0.957074 + 0.289843i \(0.906397\pi\)
\(20\) −3.56563 + 6.63669i −0.797300 + 1.48401i
\(21\) 0.808442 2.51921i 0.176416 0.549737i
\(22\) 4.03806 4.84011i 0.860918 1.03191i
\(23\) 6.27198 1.43154i 1.30780 0.298496i 0.488852 0.872367i \(-0.337416\pi\)
0.818946 + 0.573870i \(0.194559\pi\)
\(24\) −1.39338 + 2.46140i −0.284423 + 0.502431i
\(25\) −5.72978 7.18492i −1.14596 1.43698i
\(26\) −0.0696516 + 0.0834858i −0.0136598 + 0.0163729i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −0.496982 5.26811i −0.0939207 0.995580i
\(29\) 1.35757 5.94790i 0.252094 1.10450i −0.677386 0.735627i \(-0.736888\pi\)
0.929481 0.368870i \(-0.120255\pi\)
\(30\) −3.22862 4.23742i −0.589463 0.773643i
\(31\) −0.0893613 −0.0160498 −0.00802488 0.999968i \(-0.502554\pi\)
−0.00802488 + 0.999968i \(0.502554\pi\)
\(32\) −0.623963 + 5.62234i −0.110302 + 0.993898i
\(33\) 1.93389 + 4.01576i 0.336647 + 0.699055i
\(34\) 1.96251 7.79942i 0.336567 1.33759i
\(35\) 9.48972 + 3.04535i 1.60406 + 0.514759i
\(36\) −1.17665 1.61725i −0.196109 0.269541i
\(37\) 1.67314 7.33048i 0.275062 1.20512i −0.628892 0.777493i \(-0.716491\pi\)
0.903953 0.427631i \(-0.140652\pi\)
\(38\) 0.260814 11.7967i 0.0423096 1.91368i
\(39\) −0.0333572 0.0692669i −0.00534143 0.0110916i
\(40\) −9.27195 5.24879i −1.46602 0.829907i
\(41\) −2.59948 + 5.39787i −0.405970 + 0.843006i 0.593307 + 0.804977i \(0.297822\pi\)
−0.999277 + 0.0380290i \(0.987892\pi\)
\(42\) 3.53656 + 1.22178i 0.545703 + 0.188524i
\(43\) −1.87459 3.89263i −0.285873 0.593621i 0.707739 0.706474i \(-0.249715\pi\)
−0.993612 + 0.112853i \(0.964001\pi\)
\(44\) 6.71705 + 5.86059i 1.01263 + 0.883517i
\(45\) 3.67250 0.838224i 0.547464 0.124955i
\(46\) 1.82795 + 8.91250i 0.269516 + 1.31408i
\(47\) −0.265244 + 0.332606i −0.0386899 + 0.0485155i −0.800800 0.598932i \(-0.795592\pi\)
0.762110 + 0.647447i \(0.224163\pi\)
\(48\) −3.43654 2.04700i −0.496021 0.295459i
\(49\) −6.73404 + 1.91120i −0.962006 + 0.273029i
\(50\) 10.3376 7.87656i 1.46196 1.11391i
\(51\) 4.44622 + 3.54574i 0.622596 + 0.496504i
\(52\) −0.115861 0.101088i −0.0160670 0.0140184i
\(53\) −1.25947 5.51810i −0.173002 0.757969i −0.984752 0.173965i \(-0.944342\pi\)
0.811750 0.584005i \(-0.198515\pi\)
\(54\) 1.38538 0.284140i 0.188526 0.0386665i
\(55\) −15.1272 + 7.28485i −2.03974 + 0.982289i
\(56\) 7.46395 0.537990i 0.997412 0.0718919i
\(57\) 7.51730 + 3.62014i 0.995691 + 0.479500i
\(58\) 8.36711 + 2.10535i 1.09866 + 0.276446i
\(59\) −3.16168 + 1.52258i −0.411616 + 0.198224i −0.628220 0.778036i \(-0.716216\pi\)
0.216604 + 0.976260i \(0.430502\pi\)
\(60\) 6.09208 4.43238i 0.786484 0.572218i
\(61\) 9.24207 + 2.10944i 1.18333 + 0.270086i 0.768521 0.639824i \(-0.220993\pi\)
0.414805 + 0.909910i \(0.363850\pi\)
\(62\) 0.00279336 0.126345i 0.000354757 0.0160458i
\(63\) −1.82143 + 1.91896i −0.229478 + 0.241766i
\(64\) −7.92974 1.05795i −0.991217 0.132244i
\(65\) 0.260925 0.125655i 0.0323637 0.0155855i
\(66\) −5.73821 + 2.60874i −0.706325 + 0.321113i
\(67\) 0.257085i 0.0314079i 0.999877 + 0.0157039i \(0.00499893\pi\)
−0.999877 + 0.0157039i \(0.995001\pi\)
\(68\) 10.9660 + 3.01853i 1.32982 + 0.366051i
\(69\) −6.27198 1.43154i −0.755058 0.172337i
\(70\) −4.60237 + 13.3220i −0.550088 + 1.59229i
\(71\) 8.57858 1.95800i 1.01809 0.232372i 0.319265 0.947665i \(-0.396564\pi\)
0.698825 + 0.715293i \(0.253707\pi\)
\(72\) 2.32336 1.61308i 0.273810 0.190103i
\(73\) −1.62689 + 1.29740i −0.190413 + 0.151849i −0.714056 0.700088i \(-0.753144\pi\)
0.523643 + 0.851938i \(0.324572\pi\)
\(74\) 10.3120 + 2.59474i 1.19875 + 0.301632i
\(75\) 2.04494 + 8.95945i 0.236129 + 1.03455i
\(76\) 16.6709 + 0.737512i 1.91228 + 0.0845984i
\(77\) 6.01159 10.1452i 0.685085 1.15615i
\(78\) 0.0989770 0.0449974i 0.0112069 0.00509496i
\(79\) 3.00184i 0.337733i −0.985639 0.168867i \(-0.945989\pi\)
0.985639 0.168867i \(-0.0540107\pi\)
\(80\) 7.71093 12.9452i 0.862108 1.44732i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −7.55062 3.84405i −0.833826 0.424504i
\(83\) −9.36338 11.7413i −1.02776 1.28878i −0.956629 0.291309i \(-0.905909\pi\)
−0.0711357 0.997467i \(-0.522662\pi\)
\(84\) −1.83798 + 4.96204i −0.200540 + 0.541403i
\(85\) −13.3566 + 16.7487i −1.44873 + 1.81665i
\(86\) 5.56226 2.52875i 0.599794 0.272682i
\(87\) −3.80383 + 4.76985i −0.407813 + 0.511381i
\(88\) −8.49607 + 9.31382i −0.905684 + 0.992857i
\(89\) 6.00822 4.79140i 0.636870 0.507887i −0.250997 0.967988i \(-0.580758\pi\)
0.887867 + 0.460101i \(0.152187\pi\)
\(90\) 1.07034 + 5.21863i 0.112824 + 0.550092i
\(91\) −0.103693 + 0.174992i −0.0108699 + 0.0183441i
\(92\) −12.6582 + 2.30588i −1.31971 + 0.240405i
\(93\) 0.0805117 + 0.0387724i 0.00834868 + 0.00402051i
\(94\) −0.461969 0.385417i −0.0476485 0.0397528i
\(95\) −13.6369 + 28.3173i −1.39911 + 2.90529i
\(96\) 3.00161 4.79482i 0.306351 0.489370i
\(97\) 1.98364i 0.201408i 0.994916 + 0.100704i \(0.0321095\pi\)
−0.994916 + 0.100704i \(0.967891\pi\)
\(98\) −2.49169 9.58079i −0.251699 0.967806i
\(99\) 4.45716i 0.447962i
\(100\) 10.8133 + 14.8623i 1.08133 + 1.48623i
\(101\) −2.35672 + 4.89378i −0.234502 + 0.486949i −0.984699 0.174266i \(-0.944245\pi\)
0.750196 + 0.661215i \(0.229959\pi\)
\(102\) −5.15220 + 6.17554i −0.510144 + 0.611469i
\(103\) 5.06447 + 2.43892i 0.499017 + 0.240314i 0.666423 0.745574i \(-0.267825\pi\)
−0.167405 + 0.985888i \(0.553539\pi\)
\(104\) 0.146547 0.160652i 0.0143701 0.0157532i
\(105\) −7.22861 6.86120i −0.705441 0.669585i
\(106\) 7.84123 1.60823i 0.761608 0.156205i
\(107\) −1.97319 + 1.57357i −0.190755 + 0.152122i −0.714211 0.699931i \(-0.753214\pi\)
0.523455 + 0.852053i \(0.324643\pi\)
\(108\) 0.358430 + 1.96762i 0.0344900 + 0.189334i
\(109\) −5.78930 + 7.25955i −0.554514 + 0.695339i −0.977533 0.210782i \(-0.932399\pi\)
0.423019 + 0.906121i \(0.360970\pi\)
\(110\) −9.82696 21.6155i −0.936964 2.06096i
\(111\) −4.68802 + 5.87859i −0.444967 + 0.557971i
\(112\) 0.527329 + 10.5699i 0.0498279 + 0.998758i
\(113\) 12.8097 + 16.0628i 1.20503 + 1.51106i 0.803598 + 0.595172i \(0.202916\pi\)
0.401433 + 0.915889i \(0.368512\pi\)
\(114\) −5.35339 + 10.5153i −0.501391 + 0.984849i
\(115\) 5.39252 23.6262i 0.502855 2.20315i
\(116\) −3.23824 + 11.7642i −0.300663 + 1.09228i
\(117\) 0.0768805i 0.00710760i
\(118\) −2.05390 4.51779i −0.189077 0.415897i
\(119\) 1.29432 14.9904i 0.118650 1.37417i
\(120\) 6.07637 + 8.75194i 0.554694 + 0.798940i
\(121\) 1.97294 + 8.64400i 0.179358 + 0.785818i
\(122\) −3.27137 + 13.0011i −0.296176 + 1.17707i
\(123\) 4.68410 3.73544i 0.422351 0.336813i
\(124\) 0.178548 + 0.00789889i 0.0160341 + 0.000709341i
\(125\) −15.3872 + 3.51203i −1.37628 + 0.314126i
\(126\) −2.65622 2.63524i −0.236635 0.234766i
\(127\) −10.7669 2.45748i −0.955410 0.218066i −0.283727 0.958905i \(-0.591571\pi\)
−0.671683 + 0.740839i \(0.734428\pi\)
\(128\) 1.74368 11.1785i 0.154121 0.988052i
\(129\) 4.32049i 0.380398i
\(130\) 0.169503 + 0.372841i 0.0148664 + 0.0327003i
\(131\) 6.73614 3.24395i 0.588539 0.283426i −0.115819 0.993270i \(-0.536949\pi\)
0.704358 + 0.709845i \(0.251235\pi\)
\(132\) −3.50904 8.19462i −0.305422 0.713250i
\(133\) −3.04260 21.8643i −0.263827 1.89588i
\(134\) −0.363484 0.00803626i −0.0314002 0.000694227i
\(135\) −3.67250 0.838224i −0.316078 0.0721428i
\(136\) −4.61059 + 15.4101i −0.395355 + 1.32141i
\(137\) 5.64705 2.71948i 0.482460 0.232341i −0.176812 0.984245i \(-0.556579\pi\)
0.659273 + 0.751904i \(0.270864\pi\)
\(138\) 2.22006 8.82300i 0.188984 0.751064i
\(139\) −4.34349 2.09172i −0.368410 0.177417i 0.240514 0.970646i \(-0.422684\pi\)
−0.608924 + 0.793229i \(0.708398\pi\)
\(140\) −18.6917 6.92358i −1.57974 0.585149i
\(141\) 0.383289 0.184582i 0.0322788 0.0155446i
\(142\) 2.50020 + 12.1902i 0.209812 + 1.02298i
\(143\) −0.0762510 0.334077i −0.00637643 0.0279370i
\(144\) 2.20805 + 3.33534i 0.184004 + 0.277945i
\(145\) −17.9677 14.3288i −1.49214 1.18994i
\(146\) −1.78350 2.34076i −0.147603 0.193723i
\(147\) 6.89640 + 1.19986i 0.568806 + 0.0989625i
\(148\) −3.99096 + 14.4988i −0.328055 + 1.19179i
\(149\) −3.13413 + 3.93007i −0.256758 + 0.321964i −0.893458 0.449148i \(-0.851728\pi\)
0.636700 + 0.771112i \(0.280299\pi\)
\(150\) −12.7314 + 2.61120i −1.03951 + 0.213204i
\(151\) 11.3242 2.58466i 0.921546 0.210337i 0.264673 0.964338i \(-0.414736\pi\)
0.656873 + 0.754001i \(0.271879\pi\)
\(152\) −1.56386 + 23.5473i −0.126846 + 1.90994i
\(153\) −2.46747 5.12375i −0.199483 0.414231i
\(154\) 14.1560 + 8.81673i 1.14073 + 0.710473i
\(155\) −0.146053 + 0.303283i −0.0117313 + 0.0243603i
\(156\) 0.0605265 + 0.141347i 0.00484600 + 0.0113168i
\(157\) 7.15561 + 14.8588i 0.571080 + 1.18586i 0.963905 + 0.266246i \(0.0857835\pi\)
−0.392825 + 0.919613i \(0.628502\pi\)
\(158\) 4.24420 + 0.0938350i 0.337651 + 0.00746511i
\(159\) −1.25947 + 5.51810i −0.0998825 + 0.437614i
\(160\) 18.0618 + 11.3069i 1.42791 + 0.893889i
\(161\) 6.03851 + 15.9137i 0.475901 + 1.25417i
\(162\) −1.37146 0.345091i −0.107752 0.0271129i
\(163\) −0.490893 1.01935i −0.0384497 0.0798416i 0.880859 0.473378i \(-0.156966\pi\)
−0.919309 + 0.393537i \(0.871251\pi\)
\(164\) 5.67101 10.5554i 0.442831 0.824239i
\(165\) 16.7899 1.30709
\(166\) 16.8934 12.8716i 1.31118 0.999027i
\(167\) 1.08277 4.74391i 0.0837870 0.367095i −0.915601 0.402089i \(-0.868284\pi\)
0.999388 + 0.0349945i \(0.0111414\pi\)
\(168\) −6.95821 2.75378i −0.536838 0.212458i
\(169\) −2.89146 12.6683i −0.222420 0.974485i
\(170\) −23.2629 19.4080i −1.78418 1.48853i
\(171\) −5.20214 6.52327i −0.397817 0.498847i
\(172\) 3.40144 + 7.94335i 0.259357 + 0.605675i
\(173\) −4.19969 + 0.958553i −0.319297 + 0.0728774i −0.379166 0.925329i \(-0.623789\pi\)
0.0598688 + 0.998206i \(0.480932\pi\)
\(174\) −6.62503 5.52721i −0.502242 0.419017i
\(175\) 16.7386 17.6350i 1.26532 1.33308i
\(176\) −12.9029 12.3035i −0.972595 0.927408i
\(177\) 3.50920 0.263768
\(178\) 6.58659 + 8.64461i 0.493686 + 0.647941i
\(179\) 18.0438 + 4.11838i 1.34866 + 0.307822i 0.835037 0.550195i \(-0.185446\pi\)
0.513621 + 0.858017i \(0.328304\pi\)
\(180\) −7.41191 + 1.35019i −0.552451 + 0.100637i
\(181\) −4.01113 + 3.19877i −0.298145 + 0.237763i −0.761124 0.648607i \(-0.775352\pi\)
0.462979 + 0.886369i \(0.346781\pi\)
\(182\) −0.244174 0.152078i −0.0180994 0.0112727i
\(183\) −7.41157 5.91053i −0.547879 0.436919i
\(184\) −2.86453 17.9692i −0.211176 1.32470i
\(185\) −22.1443 17.6595i −1.62808 1.29835i
\(186\) −0.0573358 + 0.112621i −0.00420406 + 0.00825777i
\(187\) 15.8040 + 19.8175i 1.15570 + 1.44920i
\(188\) 0.559370 0.641116i 0.0407963 0.0467582i
\(189\) 2.47365 0.938637i 0.179932 0.0682758i
\(190\) −39.6106 20.1659i −2.87365 1.46299i
\(191\) −3.00513 + 6.24021i −0.217443 + 0.451526i −0.980946 0.194278i \(-0.937764\pi\)
0.763503 + 0.645804i \(0.223478\pi\)
\(192\) 6.68542 + 4.39376i 0.482479 + 0.317093i
\(193\) −16.5445 7.96742i −1.19090 0.573507i −0.269831 0.962908i \(-0.586968\pi\)
−0.921069 + 0.389400i \(0.872682\pi\)
\(194\) −2.80460 0.0620069i −0.201359 0.00445184i
\(195\) −0.289604 −0.0207390
\(196\) 13.6239 3.22343i 0.973133 0.230245i
\(197\) 25.1794 1.79395 0.896977 0.442077i \(-0.145758\pi\)
0.896977 + 0.442077i \(0.145758\pi\)
\(198\) 6.30184 + 0.139327i 0.447852 + 0.00990156i
\(199\) 16.7246 + 8.05416i 1.18558 + 0.570944i 0.919532 0.393016i \(-0.128568\pi\)
0.266047 + 0.963960i \(0.414283\pi\)
\(200\) −21.3513 + 14.8240i −1.50976 + 1.04821i
\(201\) 0.111545 0.231625i 0.00786777 0.0163376i
\(202\) −6.84549 3.48507i −0.481647 0.245208i
\(203\) 16.0815 + 1.38853i 1.12870 + 0.0974555i
\(204\) −8.57034 7.47757i −0.600044 0.523535i
\(205\) 14.0712 + 17.6447i 0.982775 + 1.23236i
\(206\) −3.60662 + 7.08426i −0.251285 + 0.493584i
\(207\) 5.02974 + 4.01108i 0.349591 + 0.278790i
\(208\) 0.222559 + 0.212219i 0.0154317 + 0.0147148i
\(209\) 29.0753 + 23.1868i 2.01118 + 1.60386i
\(210\) 9.92680 10.0058i 0.685014 0.690468i
\(211\) 2.77179 2.21043i 0.190818 0.152172i −0.523421 0.852074i \(-0.675344\pi\)
0.714239 + 0.699902i \(0.246773\pi\)
\(212\) 2.02872 + 11.1367i 0.139333 + 0.764874i
\(213\) −8.57858 1.95800i −0.587794 0.134160i
\(214\) −2.16313 2.83902i −0.147869 0.194071i
\(215\) −16.2751 −1.10995
\(216\) −2.79316 + 0.445267i −0.190050 + 0.0302966i
\(217\) −0.0325868 0.234171i −0.00221214 0.0158966i
\(218\) −10.0831 8.41223i −0.682912 0.569748i
\(219\) 2.02870 0.463037i 0.137087 0.0312891i
\(220\) 30.8687 13.2183i 2.08117 0.891180i
\(221\) −0.272599 0.341828i −0.0183370 0.0229938i
\(222\) −8.16501 6.81200i −0.548000 0.457192i
\(223\) 0.322048 + 1.41098i 0.0215659 + 0.0944864i 0.984566 0.175016i \(-0.0559978\pi\)
−0.963000 + 0.269503i \(0.913141\pi\)
\(224\) −14.9609 + 0.415168i −0.999615 + 0.0277396i
\(225\) 2.04494 8.95945i 0.136329 0.597296i
\(226\) −23.1111 + 17.6090i −1.53733 + 1.17134i
\(227\) −11.1496 −0.740023 −0.370011 0.929027i \(-0.620646\pi\)
−0.370011 + 0.929027i \(0.620646\pi\)
\(228\) −14.6999 7.89769i −0.973526 0.523037i
\(229\) 11.6347 + 24.1596i 0.768841 + 1.59651i 0.802189 + 0.597071i \(0.203669\pi\)
−0.0333478 + 0.999444i \(0.510617\pi\)
\(230\) 33.2358 + 8.36285i 2.19150 + 0.551430i
\(231\) −9.81809 + 6.53216i −0.645983 + 0.429785i
\(232\) −16.5318 4.94618i −1.08536 0.324733i
\(233\) −3.52263 + 15.4336i −0.230775 + 1.01109i 0.718224 + 0.695812i \(0.244955\pi\)
−0.948999 + 0.315279i \(0.897902\pi\)
\(234\) −0.108699 0.00240322i −0.00710587 0.000157104i
\(235\) 0.695311 + 1.44383i 0.0453571 + 0.0941849i
\(236\) 6.45177 2.76272i 0.419974 0.179838i
\(237\) −1.30245 + 2.70456i −0.0846031 + 0.175680i
\(238\) 21.1540 + 2.29858i 1.37121 + 0.148995i
\(239\) −3.18491 6.61353i −0.206015 0.427794i 0.772203 0.635376i \(-0.219155\pi\)
−0.978218 + 0.207582i \(0.933441\pi\)
\(240\) −12.5640 + 8.31761i −0.811005 + 0.536899i
\(241\) 8.17989 1.86701i 0.526913 0.120264i 0.0492144 0.998788i \(-0.484328\pi\)
0.477699 + 0.878524i \(0.341471\pi\)
\(242\) −12.2831 + 2.51927i −0.789591 + 0.161945i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) −18.2796 5.03170i −1.17023 0.322121i
\(245\) −4.51979 + 25.9783i −0.288759 + 1.65970i
\(246\) 5.13500 + 6.73946i 0.327396 + 0.429692i
\(247\) −0.501512 0.399943i −0.0319105 0.0254477i
\(248\) −0.0167493 + 0.252196i −0.00106358 + 0.0160145i
\(249\) 3.34175 + 14.6412i 0.211775 + 0.927847i
\(250\) −4.48456 21.8653i −0.283629 1.38288i
\(251\) −7.50388 + 3.61368i −0.473641 + 0.228093i −0.655447 0.755241i \(-0.727520\pi\)
0.181807 + 0.983334i \(0.441806\pi\)
\(252\) 3.80891 3.67317i 0.239939 0.231388i
\(253\) −25.8345 12.4413i −1.62420 0.782175i
\(254\) 3.81112 15.1462i 0.239131 0.950357i
\(255\) 19.3009 9.29481i 1.20867 0.582063i
\(256\) 15.7505 + 2.81477i 0.984404 + 0.175923i
\(257\) −14.8690 3.39375i −0.927502 0.211696i −0.268017 0.963414i \(-0.586368\pi\)
−0.659485 + 0.751718i \(0.729226\pi\)
\(258\) −6.10861 0.135055i −0.380305 0.00840817i
\(259\) 19.8197 + 1.71129i 1.23153 + 0.106334i
\(260\) −0.532446 + 0.228000i −0.0330209 + 0.0141400i
\(261\) 5.49669 2.64707i 0.340236 0.163849i
\(262\) 4.37596 + 9.62542i 0.270348 + 0.594660i
\(263\) 5.98284i 0.368918i −0.982840 0.184459i \(-0.940947\pi\)
0.982840 0.184459i \(-0.0590533\pi\)
\(264\) 11.6958 4.70516i 0.719827 0.289582i
\(265\) −20.7864 4.74435i −1.27690 0.291443i
\(266\) 31.0084 3.61837i 1.90125 0.221857i
\(267\) −7.49213 + 1.71003i −0.458511 + 0.104652i
\(268\) 0.0227244 0.513667i 0.00138811 0.0313772i
\(269\) 12.4542 9.93187i 0.759344 0.605557i −0.165364 0.986233i \(-0.552880\pi\)
0.924709 + 0.380676i \(0.124309\pi\)
\(270\) 1.29994 5.16622i 0.0791116 0.314406i
\(271\) −4.54435 19.9101i −0.276049 1.20945i −0.902741 0.430184i \(-0.858449\pi\)
0.626692 0.779267i \(-0.284408\pi\)
\(272\) −21.6438 7.00048i −1.31235 0.424466i
\(273\) 0.169350 0.112672i 0.0102495 0.00681920i
\(274\) 3.66846 + 8.06919i 0.221620 + 0.487478i
\(275\) 40.9607i 2.47002i
\(276\) 12.4052 + 3.41468i 0.746703 + 0.205539i
\(277\) 1.15096 5.04269i 0.0691545 0.302986i −0.928509 0.371311i \(-0.878908\pi\)
0.997663 + 0.0683251i \(0.0217655\pi\)
\(278\) 3.09318 6.07574i 0.185517 0.364399i
\(279\) −0.0557158 0.0698654i −0.00333562 0.00418273i
\(280\) 10.3733 26.2112i 0.619924 1.56642i
\(281\) 14.1158 17.7007i 0.842081 1.05594i −0.155596 0.987821i \(-0.549730\pi\)
0.997677 0.0681154i \(-0.0216986\pi\)
\(282\) 0.248994 + 0.547690i 0.0148274 + 0.0326145i
\(283\) 0.873038 1.09475i 0.0518967 0.0650764i −0.755206 0.655488i \(-0.772463\pi\)
0.807102 + 0.590411i \(0.201034\pi\)
\(284\) −17.3135 + 3.15390i −1.02736 + 0.187149i
\(285\) 24.5728 19.5961i 1.45557 1.16078i
\(286\) 0.474725 0.0973658i 0.0280711 0.00575736i
\(287\) −15.0931 4.84352i −0.890915 0.285904i
\(288\) −4.78475 + 3.01764i −0.281944 + 0.177816i
\(289\) 13.8219 + 6.65630i 0.813056 + 0.391547i
\(290\) 20.8207 24.9561i 1.22263 1.46547i
\(291\) 0.860668 1.78720i 0.0504533 0.104767i
\(292\) 3.36528 2.44846i 0.196938 0.143285i
\(293\) 10.4140i 0.608393i −0.952609 0.304196i \(-0.901612\pi\)
0.952609 0.304196i \(-0.0983879\pi\)
\(294\) −1.91201 + 9.71309i −0.111511 + 0.566479i
\(295\) 13.2190i 0.769637i
\(296\) −20.3746 6.09591i −1.18425 0.354318i
\(297\) −1.93389 + 4.01576i −0.112216 + 0.233018i
\(298\) −5.45864 4.55410i −0.316210 0.263812i
\(299\) 0.445613 + 0.214596i 0.0257705 + 0.0124104i
\(300\) −3.29392 18.0821i −0.190175 1.04397i
\(301\) 9.51704 6.33187i 0.548553 0.364963i
\(302\) 3.30039 + 16.0917i 0.189916 + 0.925971i
\(303\) 4.24666 3.38660i 0.243964 0.194555i
\(304\) −33.2439 2.94717i −1.90667 0.169032i
\(305\) 22.2646 27.9189i 1.27487 1.59863i
\(306\) 7.32144 3.32851i 0.418539 0.190278i
\(307\) 12.6385 15.8481i 0.721315 0.904501i −0.277096 0.960842i \(-0.589372\pi\)
0.998412 + 0.0563413i \(0.0179435\pi\)
\(308\) −12.9082 + 19.7392i −0.735513 + 1.12474i
\(309\) −3.50472 4.39479i −0.199377 0.250011i
\(310\) −0.424237 0.215981i −0.0240950 0.0122669i
\(311\) 7.04714 30.8755i 0.399607 1.75079i −0.229343 0.973346i \(-0.573658\pi\)
0.628950 0.777446i \(-0.283485\pi\)
\(312\) −0.201738 + 0.0811581i −0.0114212 + 0.00459467i
\(313\) 16.9127i 0.955961i 0.878371 + 0.477980i \(0.158631\pi\)
−0.878371 + 0.477980i \(0.841369\pi\)
\(314\) −21.2320 + 9.65262i −1.19819 + 0.544729i
\(315\) 3.53579 + 9.31811i 0.199219 + 0.525016i
\(316\) −0.265341 + 5.99781i −0.0149266 + 0.337403i
\(317\) −5.41319 23.7167i −0.304035 1.33206i −0.863977 0.503532i \(-0.832034\pi\)
0.559942 0.828532i \(-0.310823\pi\)
\(318\) −7.76249 1.95322i −0.435299 0.109531i
\(319\) −21.2600 + 16.9543i −1.19033 + 0.949257i
\(320\) −16.5511 + 25.1836i −0.925232 + 1.40781i
\(321\) 2.46053 0.561599i 0.137333 0.0313454i
\(322\) −22.6886 + 8.04021i −1.26439 + 0.448063i
\(323\) 46.2597 + 10.5585i 2.57396 + 0.587489i
\(324\) 0.530784 1.92828i 0.0294880 0.107127i
\(325\) 0.706521i 0.0391907i
\(326\) 1.45657 0.662193i 0.0806720 0.0366755i
\(327\) 8.36578 4.02875i 0.462629 0.222790i
\(328\) 14.7467 + 8.34801i 0.814250 + 0.460942i
\(329\) −0.968318 0.573783i −0.0533851 0.0316337i
\(330\) −0.524838 + 23.7387i −0.0288914 + 1.30677i
\(331\) −16.3050 3.72152i −0.896205 0.204553i −0.250479 0.968122i \(-0.580588\pi\)
−0.645726 + 0.763569i \(0.723445\pi\)
\(332\) 17.6706 + 24.2873i 0.969801 + 1.33294i
\(333\) 6.77439 3.26237i 0.371234 0.178777i
\(334\) 6.67341 + 1.67918i 0.365153 + 0.0918806i
\(335\) 0.872519 + 0.420183i 0.0476708 + 0.0229570i
\(336\) 4.11098 9.75191i 0.224273 0.532011i
\(337\) 16.9468 8.16117i 0.923153 0.444567i 0.0889573 0.996035i \(-0.471647\pi\)
0.834196 + 0.551468i \(0.185932\pi\)
\(338\) 18.0017 3.69214i 0.979163 0.200826i
\(339\) −4.57171 20.0300i −0.248301 1.08788i
\(340\) 28.1676 32.2840i 1.52760 1.75084i
\(341\) 0.311402 + 0.248335i 0.0168633 + 0.0134481i
\(342\) 9.38566 7.15122i 0.507518 0.386694i
\(343\) −7.46397 16.9496i −0.403016 0.915193i
\(344\) −11.3372 + 4.56088i −0.611260 + 0.245906i
\(345\) −15.1095 + 18.9467i −0.813469 + 1.02006i
\(346\) −1.22399 5.96778i −0.0658020 0.320830i
\(347\) −10.0370 + 2.29088i −0.538814 + 0.122981i −0.483263 0.875475i \(-0.660549\pi\)
−0.0555507 + 0.998456i \(0.517691\pi\)
\(348\) 8.02184 9.19414i 0.430016 0.492858i
\(349\) 8.79407 + 18.2611i 0.470736 + 0.977493i 0.992251 + 0.124251i \(0.0396528\pi\)
−0.521515 + 0.853242i \(0.674633\pi\)
\(350\) 24.4103 + 24.2175i 1.30478 + 1.29448i
\(351\) 0.0333572 0.0692669i 0.00178048 0.00369720i
\(352\) 17.7988 17.8584i 0.948679 0.951858i
\(353\) −12.3477 25.6403i −0.657202 1.36469i −0.916944 0.399016i \(-0.869352\pi\)
0.259742 0.965678i \(-0.416362\pi\)
\(354\) −0.109695 + 4.96155i −0.00583021 + 0.263703i
\(355\) 7.37569 32.3150i 0.391461 1.71510i
\(356\) −12.4282 + 9.04234i −0.658694 + 0.479243i
\(357\) −7.67025 + 12.9443i −0.405953 + 0.685087i
\(358\) −6.38689 + 25.3828i −0.337557 + 1.34152i
\(359\) −0.123646 0.256753i −0.00652577 0.0135509i 0.897681 0.440647i \(-0.145251\pi\)
−0.904206 + 0.427096i \(0.859537\pi\)
\(360\) −1.67730 10.5217i −0.0884012 0.554541i
\(361\) 50.6153 2.66396
\(362\) −4.39725 5.77120i −0.231114 0.303327i
\(363\) 1.97294 8.64400i 0.103552 0.453692i
\(364\) 0.222650 0.340476i 0.0116701 0.0178458i
\(365\) 1.74423 + 7.64198i 0.0912973 + 0.399999i
\(366\) 8.58838 10.2942i 0.448922 0.538087i
\(367\) −21.4848 26.9411i −1.12150 1.40632i −0.902552 0.430580i \(-0.858309\pi\)
−0.218948 0.975737i \(-0.570262\pi\)
\(368\) 25.4956 3.48836i 1.32905 0.181843i
\(369\) −5.84097 + 1.33316i −0.304069 + 0.0694017i
\(370\) 25.6604 30.7571i 1.33402 1.59899i
\(371\) 14.0009 5.31269i 0.726890 0.275821i
\(372\) −0.157439 0.0845857i −0.00816283 0.00438556i
\(373\) −6.46609 −0.334802 −0.167401 0.985889i \(-0.553537\pi\)
−0.167401 + 0.985889i \(0.553537\pi\)
\(374\) −28.5134 + 21.7252i −1.47439 + 1.12339i
\(375\) 15.3872 + 3.51203i 0.794593 + 0.181361i
\(376\) 0.888968 + 0.810916i 0.0458450 + 0.0418198i
\(377\) 0.366708 0.292440i 0.0188864 0.0150614i
\(378\) 1.24978 + 3.52676i 0.0642820 + 0.181397i
\(379\) 10.4295 + 8.31721i 0.535725 + 0.427226i 0.853618 0.520900i \(-0.174404\pi\)
−0.317892 + 0.948127i \(0.602975\pi\)
\(380\) 29.7501 55.3738i 1.52615 2.84061i
\(381\) 8.63440 + 6.88571i 0.442354 + 0.352765i
\(382\) −8.72890 4.44392i −0.446609 0.227371i
\(383\) 6.27628 + 7.87021i 0.320703 + 0.402149i 0.915884 0.401443i \(-0.131491\pi\)
−0.595181 + 0.803592i \(0.702920\pi\)
\(384\) −6.42118 + 9.31496i −0.327680 + 0.475352i
\(385\) −24.6063 36.9842i −1.25405 1.88489i
\(386\) 11.7820 23.1427i 0.599690 1.17793i
\(387\) 1.87459 3.89263i 0.0952909 0.197874i
\(388\) 0.175339 3.96340i 0.00890150 0.201211i
\(389\) −20.3556 9.80274i −1.03207 0.497019i −0.160369 0.987057i \(-0.551268\pi\)
−0.871701 + 0.490038i \(0.836983\pi\)
\(390\) 0.00905280 0.409462i 0.000458406 0.0207339i
\(391\) −36.5856 −1.85021
\(392\) 4.13163 + 19.3631i 0.208679 + 0.977984i
\(393\) −7.47655 −0.377142
\(394\) −0.787086 + 35.6003i −0.0396528 + 1.79352i
\(395\) −10.1879 4.90625i −0.512610 0.246860i
\(396\) −0.393981 + 8.90561i −0.0197983 + 0.447524i
\(397\) −9.26563 + 19.2403i −0.465028 + 0.965642i 0.528162 + 0.849143i \(0.322881\pi\)
−0.993191 + 0.116498i \(0.962833\pi\)
\(398\) −11.9103 + 23.3947i −0.597010 + 1.17267i
\(399\) −6.74530 + 21.0192i −0.337687 + 1.05228i
\(400\) −20.2917 30.6513i −1.01458 1.53257i
\(401\) 9.08266 + 11.3893i 0.453566 + 0.568754i 0.955062 0.296406i \(-0.0957881\pi\)
−0.501496 + 0.865160i \(0.667217\pi\)
\(402\) 0.324001 + 0.164950i 0.0161597 + 0.00822696i
\(403\) −0.00537129 0.00428346i −0.000267563 0.000213374i
\(404\) 5.14141 9.56967i 0.255795 0.476109i
\(405\) 2.94511 + 2.34865i 0.146344 + 0.116705i
\(406\) −2.46589 + 22.6938i −0.122380 + 1.12627i
\(407\) −26.2018 + 20.8953i −1.29878 + 1.03574i
\(408\) 10.8402 11.8836i 0.536670 0.588325i
\(409\) −25.3227 5.77974i −1.25213 0.285790i −0.455486 0.890243i \(-0.650535\pi\)
−0.796641 + 0.604453i \(0.793392\pi\)
\(410\) −25.3872 + 19.3433i −1.25378 + 0.955295i
\(411\) −6.26775 −0.309166
\(412\) −9.90347 5.32074i −0.487909 0.262134i
\(413\) −5.14288 7.72995i −0.253065 0.380366i
\(414\) −5.82837 + 6.98600i −0.286449 + 0.343343i
\(415\) −55.1525 + 12.5882i −2.70733 + 0.617930i
\(416\) −0.307007 + 0.308036i −0.0150523 + 0.0151027i
\(417\) 3.00579 + 3.76914i 0.147194 + 0.184576i
\(418\) −33.6919 + 40.3838i −1.64792 + 1.97524i
\(419\) 1.93869 + 8.49397i 0.0947114 + 0.414958i 0.999951 0.00994465i \(-0.00316553\pi\)
−0.905239 + 0.424902i \(0.860308\pi\)
\(420\) 13.8366 + 14.3480i 0.675158 + 0.700109i
\(421\) −0.697356 + 3.05532i −0.0339870 + 0.148907i −0.989074 0.147418i \(-0.952904\pi\)
0.955087 + 0.296325i \(0.0957610\pi\)
\(422\) 3.03861 + 3.98805i 0.147917 + 0.194135i
\(423\) −0.425419 −0.0206846
\(424\) −15.8093 + 2.52021i −0.767767 + 0.122392i
\(425\) 22.6757 + 47.0865i 1.09993 + 2.28403i
\(426\) 3.03652 12.0678i 0.147120 0.584685i
\(427\) −2.15755 + 24.9881i −0.104411 + 1.20926i
\(428\) 4.08161 2.96964i 0.197292 0.143543i
\(429\) −0.0762510 + 0.334077i −0.00368143 + 0.0161294i
\(430\) 0.508745 23.0108i 0.0245339 1.10968i
\(431\) −11.9123 24.7362i −0.573797 1.19150i −0.962787 0.270260i \(-0.912890\pi\)
0.388991 0.921242i \(-0.372824\pi\)
\(432\) −0.542237 3.96308i −0.0260884 0.190674i
\(433\) −0.392179 + 0.814368i −0.0188469 + 0.0391360i −0.910180 0.414213i \(-0.864057\pi\)
0.891333 + 0.453349i \(0.149771\pi\)
\(434\) 0.332106 0.0387535i 0.0159416 0.00186023i
\(435\) 9.97134 + 20.7057i 0.478089 + 0.992763i
\(436\) 12.2090 13.9932i 0.584704 0.670152i
\(437\) −52.3308 + 11.9442i −2.50332 + 0.571366i
\(438\) 0.591257 + 2.88278i 0.0282514 + 0.137745i
\(439\) 5.55109 6.96085i 0.264939 0.332223i −0.631512 0.775366i \(-0.717565\pi\)
0.896451 + 0.443143i \(0.146137\pi\)
\(440\) 17.7241 + 44.0574i 0.844961 + 2.10036i
\(441\) −5.69284 4.07327i −0.271088 0.193965i
\(442\) 0.491821 0.374733i 0.0233935 0.0178242i
\(443\) −14.5397 11.5950i −0.690803 0.550897i 0.213944 0.976846i \(-0.431369\pi\)
−0.904747 + 0.425949i \(0.859940\pi\)
\(444\) 9.88651 11.3313i 0.469193 0.537760i
\(445\) −6.44158 28.2224i −0.305360 1.33787i
\(446\) −2.00501 + 0.411227i −0.0949400 + 0.0194721i
\(447\) 4.52895 2.18103i 0.214212 0.103159i
\(448\) −0.119328 21.1657i −0.00563774 0.999984i
\(449\) −17.1312 8.24994i −0.808470 0.389339i −0.0164738 0.999864i \(-0.505244\pi\)
−0.791997 + 0.610525i \(0.790958\pi\)
\(450\) 12.6036 + 3.17133i 0.594137 + 0.149498i
\(451\) 24.0592 11.5863i 1.13290 0.545577i
\(452\) −24.1744 33.2265i −1.13707 1.56284i
\(453\) −11.3242 2.58466i −0.532055 0.121438i
\(454\) 0.348527 15.7640i 0.0163572 0.739842i
\(455\) 0.424428 + 0.637931i 0.0198975 + 0.0299067i
\(456\) 11.6258 20.5369i 0.544428 0.961727i
\(457\) −6.26006 + 3.01469i −0.292833 + 0.141021i −0.574533 0.818482i \(-0.694816\pi\)
0.281699 + 0.959503i \(0.409102\pi\)
\(458\) −34.5222 + 15.6947i −1.61312 + 0.733364i
\(459\) 5.68693i 0.265443i
\(460\) −12.8629 + 46.7296i −0.599736 + 2.17878i
\(461\) 3.19807 + 0.729938i 0.148949 + 0.0339966i 0.296345 0.955081i \(-0.404232\pi\)
−0.147396 + 0.989078i \(0.547089\pi\)
\(462\) −8.92871 14.0857i −0.415401 0.655325i
\(463\) 23.8427 5.44194i 1.10807 0.252909i 0.370935 0.928659i \(-0.379037\pi\)
0.737131 + 0.675750i \(0.236180\pi\)
\(464\) 7.51002 23.2191i 0.348644 1.07792i
\(465\) 0.263179 0.209878i 0.0122046 0.00973287i
\(466\) −21.7110 5.46298i −1.00574 0.253067i
\(467\) −5.21078 22.8299i −0.241126 1.05644i −0.939994 0.341192i \(-0.889169\pi\)
0.698867 0.715251i \(-0.253688\pi\)
\(468\) 0.00679568 0.153611i 0.000314130 0.00710066i
\(469\) −0.673690 + 0.0937494i −0.0311081 + 0.00432895i
\(470\) −2.06312 + 0.937945i −0.0951645 + 0.0432642i
\(471\) 16.4920i 0.759911i
\(472\) 3.70445 + 9.20831i 0.170511 + 0.423847i
\(473\) −4.28512 + 18.7743i −0.197030 + 0.863244i
\(474\) −3.78318 1.92603i −0.173767 0.0884656i
\(475\) 47.8069 + 59.9479i 2.19353 + 2.75060i
\(476\) −3.91115 + 29.8372i −0.179267 + 1.36758i
\(477\) 3.52896 4.42517i 0.161580 0.202615i
\(478\) 9.45022 4.29631i 0.432243 0.196509i
\(479\) −21.8584 + 27.4096i −0.998737 + 1.25238i −0.0312354 + 0.999512i \(0.509944\pi\)
−0.967502 + 0.252865i \(0.918627\pi\)
\(480\) −11.3673 18.0239i −0.518842 0.822674i
\(481\) 0.451949 0.360417i 0.0206071 0.0164336i
\(482\) 2.38400 + 11.6236i 0.108588 + 0.529443i
\(483\) 1.46418 16.9578i 0.0666226 0.771605i
\(484\) −3.17795 17.4455i −0.144452 0.792977i
\(485\) 6.73226 + 3.24209i 0.305696 + 0.147216i
\(486\) 1.08592 + 0.905972i 0.0492582 + 0.0410957i
\(487\) 2.83961 5.89652i 0.128675 0.267197i −0.826671 0.562685i \(-0.809768\pi\)
0.955346 + 0.295489i \(0.0954825\pi\)
\(488\) 7.68556 25.6877i 0.347909 1.16283i
\(489\) 1.13139i 0.0511633i
\(490\) −36.5887 7.20245i −1.65291 0.325373i
\(491\) 16.3127i 0.736180i 0.929790 + 0.368090i \(0.119988\pi\)
−0.929790 + 0.368090i \(0.880012\pi\)
\(492\) −9.68922 + 7.04954i −0.436824 + 0.317818i
\(493\) −15.0537 + 31.2593i −0.677984 + 1.40785i
\(494\) 0.581143 0.696570i 0.0261469 0.0313402i
\(495\) −15.1272 7.28485i −0.679915 0.327430i
\(496\) −0.356049 0.0315647i −0.0159871 0.00141730i
\(497\) 8.25925 + 21.7661i 0.370478 + 0.976345i
\(498\) −20.8051 + 4.26712i −0.932301 + 0.191214i
\(499\) 10.5297 8.39719i 0.471376 0.375910i −0.358797 0.933416i \(-0.616813\pi\)
0.830173 + 0.557506i \(0.188242\pi\)
\(500\) 31.0548 5.65709i 1.38881 0.252993i
\(501\) −3.03384 + 3.80432i −0.135542 + 0.169964i
\(502\) −4.87470 10.7225i −0.217568 0.478566i
\(503\) 15.1241 18.9650i 0.674350 0.845608i −0.320470 0.947259i \(-0.603841\pi\)
0.994820 + 0.101651i \(0.0324124\pi\)
\(504\) 5.07431 + 5.50012i 0.226028 + 0.244995i
\(505\) 12.7571 + 15.9969i 0.567685 + 0.711854i
\(506\) 18.3979 36.1377i 0.817884 1.60652i
\(507\) −2.89146 + 12.6683i −0.128414 + 0.562619i
\(508\) 21.2956 + 5.86188i 0.944839 + 0.260079i
\(509\) 26.8049i 1.18811i −0.804426 0.594053i \(-0.797527\pi\)
0.804426 0.594053i \(-0.202473\pi\)
\(510\) 12.5383 + 27.5794i 0.555205 + 1.22124i
\(511\) −3.99310 3.79014i −0.176644 0.167666i
\(512\) −4.47205 + 22.1811i −0.197639 + 0.980275i
\(513\) 1.85662 + 8.13439i 0.0819718 + 0.359142i
\(514\) 5.26311 20.9167i 0.232146 0.922596i
\(515\) 16.5549 13.2021i 0.729496 0.581754i
\(516\) 0.381900 8.63254i 0.0168122 0.380027i
\(517\) 1.84862 0.421935i 0.0813022 0.0185567i
\(518\) −3.03908 + 27.9689i −0.133530 + 1.22888i
\(519\) 4.19969 + 0.958553i 0.184346 + 0.0420758i
\(520\) −0.305718 0.759936i −0.0134066 0.0333254i
\(521\) 6.76266i 0.296277i −0.988967 0.148139i \(-0.952672\pi\)
0.988967 0.148139i \(-0.0473282\pi\)
\(522\) 3.57078 + 7.85434i 0.156289 + 0.343775i
\(523\) −5.75424 + 2.77109i −0.251615 + 0.121172i −0.555441 0.831556i \(-0.687450\pi\)
0.303825 + 0.952728i \(0.401736\pi\)
\(524\) −13.7459 + 5.88614i −0.600491 + 0.257137i
\(525\) −22.7325 + 8.62594i −0.992128 + 0.376467i
\(526\) 8.45895 + 0.187019i 0.368828 + 0.00815441i
\(527\) 0.495450 + 0.113083i 0.0215821 + 0.00492598i
\(528\) 6.28687 + 16.6834i 0.273601 + 0.726052i
\(529\) 16.5662 7.97784i 0.720268 0.346863i
\(530\) 7.35765 29.2409i 0.319596 1.27014i
\(531\) −3.16168 1.52258i −0.137205 0.0660746i
\(532\) 4.14661 + 43.9549i 0.179778 + 1.90569i
\(533\) −0.414991 + 0.199849i −0.0179752 + 0.00865642i
\(534\) −2.18356 10.6463i −0.0944918 0.460712i
\(535\) 2.11551 + 9.26866i 0.0914615 + 0.400719i
\(536\) 0.725547 + 0.0481861i 0.0313388 + 0.00208132i
\(537\) −14.4700 11.5395i −0.624427 0.497964i
\(538\) 13.6530 + 17.9190i 0.588625 + 0.772544i
\(539\) 28.7777 + 12.0538i 1.23954 + 0.519194i
\(540\) 7.26372 + 1.99943i 0.312581 + 0.0860418i
\(541\) −14.2115 + 17.8206i −0.610998 + 0.766167i −0.987047 0.160433i \(-0.948711\pi\)
0.376049 + 0.926600i \(0.377282\pi\)
\(542\) 28.2923 5.80273i 1.21526 0.249249i
\(543\) 5.00179 1.14163i 0.214648 0.0489919i
\(544\) 10.5743 30.3826i 0.453370 1.30264i
\(545\) 15.1761 + 31.5134i 0.650071 + 1.34989i
\(546\) 0.154009 + 0.242960i 0.00659098 + 0.0103977i
\(547\) −10.5783 + 21.9660i −0.452294 + 0.939197i 0.542763 + 0.839886i \(0.317378\pi\)
−0.995056 + 0.0993113i \(0.968336\pi\)
\(548\) −11.5234 + 4.93448i −0.492257 + 0.210791i
\(549\) 4.11311 + 8.54096i 0.175543 + 0.364519i
\(550\) −57.9130 1.28040i −2.46942 0.0545964i
\(551\) −11.3270 + 49.6268i −0.482546 + 2.11417i
\(552\) −5.21568 + 17.4325i −0.221994 + 0.741978i
\(553\) 7.86631 1.09466i 0.334510 0.0465497i
\(554\) 7.09372 + 1.78494i 0.301383 + 0.0758347i
\(555\) 12.2892 + 25.5187i 0.521646 + 1.08321i
\(556\) 8.49360 + 4.56328i 0.360209 + 0.193526i
\(557\) −30.0667 −1.27397 −0.636984 0.770877i \(-0.719818\pi\)
−0.636984 + 0.770877i \(0.719818\pi\)
\(558\) 0.100522 0.0765909i 0.00425544 0.00324235i
\(559\) 0.0739129 0.323834i 0.00312618 0.0136967i
\(560\) 36.7349 + 15.4858i 1.55233 + 0.654396i
\(561\) −5.64037 24.7121i −0.238137 1.04334i
\(562\) 24.5852 + 20.5113i 1.03707 + 0.865215i
\(563\) −2.89058 3.62467i −0.121823 0.152762i 0.717180 0.696888i \(-0.245433\pi\)
−0.839003 + 0.544127i \(0.816861\pi\)
\(564\) −0.782145 + 0.334924i −0.0329342 + 0.0141028i
\(565\) 75.4518 17.2214i 3.17428 0.724509i
\(566\) 1.52055 + 1.26858i 0.0639134 + 0.0533224i
\(567\) −2.63594 0.227595i −0.110699 0.00955810i
\(568\) −3.91799 24.5775i −0.164395 1.03125i
\(569\) −1.98747 −0.0833190 −0.0416595 0.999132i \(-0.513264\pi\)
−0.0416595 + 0.999132i \(0.513264\pi\)
\(570\) 26.9382 + 35.3552i 1.12832 + 1.48087i
\(571\) 22.8708 + 5.22011i 0.957113 + 0.218455i 0.672425 0.740166i \(-0.265253\pi\)
0.284688 + 0.958620i \(0.408110\pi\)
\(572\) 0.122823 + 0.674242i 0.00513548 + 0.0281915i
\(573\) 5.41505 4.31836i 0.226217 0.180402i
\(574\) 7.31990 21.1882i 0.305527 0.884378i
\(575\) −46.2226 36.8613i −1.92761 1.53722i
\(576\) −4.11697 6.85934i −0.171540 0.285806i
\(577\) −22.8027 18.1845i −0.949289 0.757032i 0.0207999 0.999784i \(-0.493379\pi\)
−0.970089 + 0.242751i \(0.921950\pi\)
\(578\) −9.84319 + 19.3343i −0.409423 + 0.804202i
\(579\) 11.4492 + 14.3568i 0.475811 + 0.596648i
\(580\) 34.6338 + 30.2178i 1.43809 + 1.25473i
\(581\) 27.3536 28.8184i 1.13482 1.19559i
\(582\) 2.49996 + 1.27274i 0.103626 + 0.0527567i
\(583\) −10.9458 + 22.7293i −0.453330 + 0.941349i
\(584\) 3.35660 + 4.83459i 0.138897 + 0.200057i
\(585\) 0.260925 + 0.125655i 0.0107879 + 0.00519518i
\(586\) 14.7240 + 0.325534i 0.608244 + 0.0134477i
\(587\) 15.7767 0.651175 0.325587 0.945512i \(-0.394438\pi\)
0.325587 + 0.945512i \(0.394438\pi\)
\(588\) −13.6733 3.00696i −0.563876 0.124005i
\(589\) 0.745593 0.0307216
\(590\) −18.6899 0.413214i −0.769449 0.0170117i
\(591\) −22.6858 10.9249i −0.933170 0.449391i
\(592\) 9.25571 28.6164i 0.380407 1.17613i
\(593\) −4.52741 + 9.40127i −0.185918 + 0.386064i −0.973007 0.230777i \(-0.925873\pi\)
0.787088 + 0.616840i \(0.211588\pi\)
\(594\) −5.61731 2.85980i −0.230481 0.117339i
\(595\) −48.7606 28.8934i −1.99899 1.18451i
\(596\) 6.60952 7.57543i 0.270737 0.310302i
\(597\) −11.5738 14.5131i −0.473685 0.593982i
\(598\) −0.317340 + 0.623330i −0.0129770 + 0.0254899i
\(599\) 30.1746 + 24.0635i 1.23290 + 0.983207i 0.999943 + 0.0107201i \(0.00341237\pi\)
0.232959 + 0.972486i \(0.425159\pi\)
\(600\) 25.6687 4.09194i 1.04792 0.167053i
\(601\) −30.5095 24.3305i −1.24451 0.992464i −0.999738 0.0228831i \(-0.992715\pi\)
−0.244772 0.969581i \(-0.578713\pi\)
\(602\) 8.65493 + 13.6538i 0.352749 + 0.556486i
\(603\) −0.200997 + 0.160290i −0.00818522 + 0.00652750i
\(604\) −22.8546 + 4.16330i −0.929942 + 0.169402i
\(605\) 32.5614 + 7.43194i 1.32381 + 0.302151i
\(606\) 4.65546 + 6.11008i 0.189115 + 0.248205i
\(607\) 1.30155 0.0528281 0.0264140 0.999651i \(-0.491591\pi\)
0.0264140 + 0.999651i \(0.491591\pi\)
\(608\) 5.20608 46.9104i 0.211134 1.90247i
\(609\) −13.8865 8.22854i −0.562709 0.333437i
\(610\) 38.7777 + 32.3520i 1.57006 + 1.30989i
\(611\) −0.0318864 + 0.00727786i −0.00128999 + 0.000294431i
\(612\) 4.47721 + 10.4556i 0.180981 + 0.422642i
\(613\) −4.62973 5.80549i −0.186993 0.234482i 0.679495 0.733681i \(-0.262199\pi\)
−0.866487 + 0.499199i \(0.833628\pi\)
\(614\) 22.0121 + 18.3645i 0.888336 + 0.741132i
\(615\) −5.02195 22.0026i −0.202505 0.887231i
\(616\) −27.5051 18.8675i −1.10821 0.760194i
\(617\) 7.52170 32.9547i 0.302812 1.32671i −0.563049 0.826423i \(-0.690372\pi\)
0.865862 0.500284i \(-0.166771\pi\)
\(618\) 6.32320 4.81784i 0.254356 0.193802i
\(619\) 38.0761 1.53041 0.765204 0.643788i \(-0.222638\pi\)
0.765204 + 0.643788i \(0.222638\pi\)
\(620\) 0.318629 0.593063i 0.0127965 0.0238180i
\(621\) −2.79129 5.79618i −0.112011 0.232593i
\(622\) 43.4337 + 10.9289i 1.74153 + 0.438208i
\(623\) 14.7468 + 13.9973i 0.590819 + 0.560790i
\(624\) −0.108441 0.287768i −0.00434110 0.0115199i
\(625\) −3.00496 + 13.1656i −0.120198 + 0.526623i
\(626\) −23.9123 0.528676i −0.955727 0.0211302i
\(627\) −16.1356 33.5058i −0.644392 1.33809i
\(628\) −12.9838 30.3210i −0.518111 1.20994i
\(629\) −18.5529 + 38.5255i −0.739752 + 1.53611i
\(630\) −13.2851 + 4.70787i −0.529291 + 0.187566i
\(631\) 18.0268 + 37.4330i 0.717635 + 1.49018i 0.865357 + 0.501155i \(0.167091\pi\)
−0.147723 + 0.989029i \(0.547194\pi\)
\(632\) −8.47182 0.562643i −0.336991 0.0223808i
\(633\) −3.45637 + 0.788894i −0.137378 + 0.0313557i
\(634\) 33.7015 6.91217i 1.33846 0.274517i
\(635\) −25.9381 + 32.5253i −1.02932 + 1.29073i
\(636\) 3.00424 10.9141i 0.119126 0.432772i
\(637\) −0.496379 0.207913i −0.0196672 0.00823782i
\(638\) −23.3065 30.5888i −0.922714 1.21102i
\(639\) 6.87948 + 5.48621i 0.272148 + 0.217031i
\(640\) −35.0889 24.1882i −1.38701 0.956124i
\(641\) 6.39434 + 28.0154i 0.252561 + 1.10654i 0.929010 + 0.370054i \(0.120661\pi\)
−0.676449 + 0.736489i \(0.736482\pi\)
\(642\) 0.717113 + 3.49641i 0.0283022 + 0.137992i
\(643\) −43.2035 + 20.8057i −1.70378 + 0.820497i −0.710641 + 0.703555i \(0.751595\pi\)
−0.993139 + 0.116943i \(0.962691\pi\)
\(644\) −10.6586 32.3301i −0.420006 1.27398i
\(645\) 14.6633 + 7.06148i 0.577367 + 0.278046i
\(646\) −16.3743 + 65.0751i −0.644240 + 2.56034i
\(647\) −0.126999 + 0.0611596i −0.00499285 + 0.00240443i −0.436378 0.899763i \(-0.643739\pi\)
0.431386 + 0.902168i \(0.358025\pi\)
\(648\) 2.70974 + 0.810734i 0.106449 + 0.0318487i
\(649\) 15.2489 + 3.48047i 0.598572 + 0.136620i
\(650\) 0.998927 + 0.0220853i 0.0391811 + 0.000866255i
\(651\) −0.0722434 + 0.225120i −0.00283144 + 0.00882314i
\(652\) 0.890723 + 2.08010i 0.0348834 + 0.0814629i
\(653\) 34.6293 16.6766i 1.35515 0.652605i 0.391599 0.920136i \(-0.371922\pi\)
0.963549 + 0.267531i \(0.0862077\pi\)
\(654\) 5.43461 + 11.9540i 0.212510 + 0.467440i
\(655\) 28.1637i 1.10045i
\(656\) −12.2640 + 20.5889i −0.478827 + 0.803862i
\(657\) −2.02870 0.463037i −0.0791470 0.0180648i
\(658\) 0.841523 1.35114i 0.0328060 0.0526729i
\(659\) −36.4302 + 8.31495i −1.41912 + 0.323905i −0.862160 0.506636i \(-0.830889\pi\)
−0.556959 + 0.830540i \(0.688032\pi\)
\(660\) −33.5469 1.48410i −1.30581 0.0577686i
\(661\) 31.5131 25.1308i 1.22572 0.977476i 0.225722 0.974192i \(-0.427526\pi\)
0.999995 0.00328459i \(-0.00104552\pi\)
\(662\) 5.77142 22.9368i 0.224312 0.891465i
\(663\) 0.0972893 + 0.426252i 0.00377840 + 0.0165543i
\(664\) −34.8914 + 24.2247i −1.35405 + 0.940101i
\(665\) −79.1782 25.4091i −3.07040 0.985324i
\(666\) 4.40080 + 9.68007i 0.170528 + 0.375095i
\(667\) 39.2485i 1.51971i
\(668\) −2.58274 + 9.38284i −0.0999293 + 0.363033i
\(669\) 0.322048 1.41098i 0.0124511 0.0545517i
\(670\) −0.621357 + 1.22049i −0.0240051 + 0.0471517i
\(671\) −26.3442 33.0346i −1.01701 1.27528i
\(672\) 13.6594 + 6.11722i 0.526923 + 0.235977i
\(673\) 15.8649 19.8939i 0.611547 0.766855i −0.375581 0.926790i \(-0.622557\pi\)
0.987128 + 0.159934i \(0.0511283\pi\)
\(674\) 11.0091 + 24.2157i 0.424054 + 0.932754i
\(675\) −5.72978 + 7.18492i −0.220539 + 0.276548i
\(676\) 4.65748 + 25.5674i 0.179134 + 0.983363i
\(677\) −7.62244 + 6.07869i −0.292954 + 0.233623i −0.758927 0.651176i \(-0.774276\pi\)
0.465973 + 0.884799i \(0.345705\pi\)
\(678\) 28.4627 5.83768i 1.09310 0.224195i
\(679\) −5.19812 + 0.723361i −0.199486 + 0.0277600i
\(680\) 44.7648 + 40.8344i 1.71665 + 1.56593i
\(681\) 10.0454 + 4.83762i 0.384941 + 0.185378i
\(682\) −0.360846 + 0.432518i −0.0138175 + 0.0165620i
\(683\) −5.23185 + 10.8640i −0.200191 + 0.415701i −0.976761 0.214329i \(-0.931243\pi\)
0.776570 + 0.630031i \(0.216958\pi\)
\(684\) 9.81750 + 13.4936i 0.375381 + 0.515942i
\(685\) 23.6103i 0.902102i
\(686\) 24.1978 10.0232i 0.923877 0.382689i
\(687\) 26.8152i 1.02306i
\(688\) −6.09410 16.1718i −0.232335 0.616546i
\(689\) 0.188802 0.392051i 0.00719278 0.0149360i
\(690\) −26.3159 21.9551i −1.00183 0.835817i
\(691\) 7.02323 + 3.38221i 0.267176 + 0.128665i 0.562676 0.826678i \(-0.309772\pi\)
−0.295500 + 0.955343i \(0.595486\pi\)
\(692\) 8.47591 1.54401i 0.322206 0.0586944i
\(693\) 11.6800 1.62537i 0.443686 0.0617425i
\(694\) −2.92525 14.2626i −0.111041 0.541401i
\(695\) −14.1981 + 11.3226i −0.538566 + 0.429492i
\(696\) 12.7485 + 11.6292i 0.483232 + 0.440805i
\(697\) 21.2432 26.6381i 0.804644 1.00899i
\(698\) −26.0936 + 11.8628i −0.987659 + 0.449015i
\(699\) 9.87019 12.3768i 0.373325 0.468134i
\(700\) −35.0034 + 33.7559i −1.32300 + 1.27585i
\(701\) −3.11122 3.90135i −0.117509 0.147352i 0.719598 0.694391i \(-0.244326\pi\)
−0.837107 + 0.547039i \(0.815755\pi\)
\(702\) 0.0968916 + 0.0493279i 0.00365694 + 0.00186176i
\(703\) −13.9599 + 61.1625i −0.526509 + 2.30679i
\(704\) 24.6931 + 25.7234i 0.930657 + 0.969487i
\(705\) 1.60253i 0.0603547i
\(706\) 36.6379 16.6565i 1.37889 0.626877i
\(707\) −13.6836 4.39120i −0.514623 0.165148i
\(708\) −7.01154 0.310188i −0.263510 0.0116576i
\(709\) −4.64857 20.3667i −0.174581 0.764888i −0.984074 0.177759i \(-0.943115\pi\)
0.809493 0.587129i \(-0.199742\pi\)
\(710\) 45.4586 + 11.4384i 1.70603 + 0.429275i
\(711\) 2.34693 1.87161i 0.0880168 0.0701910i
\(712\) −12.3962 17.8545i −0.464567 0.669127i
\(713\) −0.560472 + 0.127924i −0.0209898 + 0.00479080i
\(714\) −18.0618 11.2493i −0.675946 0.420996i
\(715\) −1.25845 0.287233i −0.0470634 0.0107419i
\(716\) −35.6883 9.82366i −1.33374 0.367127i
\(717\) 7.34047i 0.274135i
\(718\) 0.366880 0.166793i 0.0136918 0.00622465i
\(719\) 3.30991 1.59397i 0.123439 0.0594451i −0.371145 0.928575i \(-0.621035\pi\)
0.494584 + 0.869130i \(0.335320\pi\)
\(720\) 14.9287 2.04258i 0.556359 0.0761223i
\(721\) −4.54436 + 14.1608i −0.169241 + 0.527377i
\(722\) −1.58219 + 71.5634i −0.0588832 + 2.66331i
\(723\) −8.17989 1.86701i −0.304213 0.0694347i
\(724\) 8.29716 6.03673i 0.308362 0.224353i
\(725\) −50.5138 + 24.3261i −1.87603 + 0.903450i
\(726\) 12.1598 + 3.05968i 0.451293 + 0.113555i
\(727\) −21.9013 10.5471i −0.812275 0.391171i −0.0188372 0.999823i \(-0.505996\pi\)
−0.793438 + 0.608652i \(0.791711\pi\)
\(728\) 0.474428 + 0.325441i 0.0175835 + 0.0120617i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −10.8593 + 2.22723i −0.401920 + 0.0824335i
\(731\) 5.46742 + 23.9543i 0.202220 + 0.885983i
\(732\) 14.2862 + 12.4646i 0.528033 + 0.460706i
\(733\) −0.308010 0.245630i −0.0113766 0.00907256i 0.617785 0.786347i \(-0.288030\pi\)
−0.629162 + 0.777275i \(0.716602\pi\)
\(734\) 38.7628 29.5346i 1.43076 1.09014i
\(735\) 15.3438 21.4446i 0.565964 0.790997i
\(736\) 4.13511 + 36.1564i 0.152422 + 1.33274i
\(737\) 0.714437 0.895876i 0.0263166 0.0330000i
\(738\) −1.70233 8.30004i −0.0626638 0.305529i
\(739\) 2.70373 0.617109i 0.0994584 0.0227007i −0.172502 0.985009i \(-0.555185\pi\)
0.271960 + 0.962308i \(0.412328\pi\)
\(740\) 42.6844 + 37.2419i 1.56911 + 1.36904i
\(741\) 0.278318 + 0.577934i 0.0102243 + 0.0212309i
\(742\) 7.07379 + 19.9615i 0.259687 + 0.732809i
\(743\) 5.39373 11.2002i 0.197877 0.410896i −0.778294 0.627900i \(-0.783914\pi\)
0.976171 + 0.217005i \(0.0696288\pi\)
\(744\) 0.124514 0.219954i 0.00456492 0.00806390i
\(745\) 8.21580 + 17.0603i 0.301004 + 0.625041i
\(746\) 0.202125 9.14220i 0.00740032 0.334720i
\(747\) 3.34175 14.6412i 0.122268 0.535692i
\(748\) −29.8253 40.9933i −1.09052 1.49886i
\(749\) −4.84308 4.59692i −0.176962 0.167968i
\(750\) −5.44655 + 21.6457i −0.198880 + 0.790390i
\(751\) 10.7992 + 22.4248i 0.394069 + 0.818292i 0.999745 + 0.0225810i \(0.00718835\pi\)
−0.605676 + 0.795711i \(0.707097\pi\)
\(752\) −1.17432 + 1.23153i −0.0428229 + 0.0449094i
\(753\) 8.32868 0.303514
\(754\) 0.402009 + 0.527618i 0.0146403 + 0.0192147i
\(755\) 9.73628 42.6574i 0.354340 1.55246i
\(756\) −5.02544 + 1.65679i −0.182774 + 0.0602567i
\(757\) 8.21554 + 35.9946i 0.298599 + 1.30825i 0.872215 + 0.489123i \(0.162683\pi\)
−0.573616 + 0.819124i \(0.694460\pi\)
\(758\) −12.0855 + 14.4859i −0.438964 + 0.526151i
\(759\) 17.8780 + 22.4184i 0.648932 + 0.813735i
\(760\) 77.3612 + 43.7937i 2.80619 + 1.58856i
\(761\) 5.48637 1.25223i 0.198881 0.0453932i −0.121920 0.992540i \(-0.538905\pi\)
0.320801 + 0.947147i \(0.396048\pi\)
\(762\) −10.0054 + 11.9927i −0.362457 + 0.434448i
\(763\) −21.1348 12.5236i −0.765131 0.453383i
\(764\) 6.55597 12.2026i 0.237187 0.441475i
\(765\) −21.4223 −0.774527
\(766\) −11.3236 + 8.62782i −0.409139 + 0.311736i
\(767\) −0.263025 0.0600337i −0.00949728 0.00216769i
\(768\) −12.9694 9.36989i −0.467993 0.338107i
\(769\) −16.6358 + 13.2666i −0.599903 + 0.478406i −0.875730 0.482801i \(-0.839620\pi\)
0.275828 + 0.961207i \(0.411048\pi\)
\(770\) 53.0599 33.6339i 1.91215 1.21208i
\(771\) 11.9240 + 9.50908i 0.429433 + 0.342461i