Properties

Label 819.2.fy.a.743.58
Level $819$
Weight $2$
Character 819.743
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 743.58
Character \(\chi\) \(=\) 819.743
Dual form 819.2.fy.a.722.58

$q$-expansion

\(f(q)\) \(=\) \(q+(1.17742 - 0.315488i) q^{2} +(-0.0778090 - 1.73030i) q^{3} +(-0.445276 + 0.257080i) q^{4} +(-1.47574 + 0.395422i) q^{5} +(-0.637502 - 2.01274i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-2.16703 + 2.16703i) q^{8} +(-2.98789 + 0.269266i) q^{9} +O(q^{10})\) \(q+(1.17742 - 0.315488i) q^{2} +(-0.0778090 - 1.73030i) q^{3} +(-0.445276 + 0.257080i) q^{4} +(-1.47574 + 0.395422i) q^{5} +(-0.637502 - 2.01274i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-2.16703 + 2.16703i) q^{8} +(-2.98789 + 0.269266i) q^{9} +(-1.61280 + 0.931152i) q^{10} +(0.102687 + 0.383234i) q^{11} +(0.479473 + 0.750459i) q^{12} +(-0.330326 + 3.59039i) q^{13} +(1.05564 + 0.609475i) q^{14} +(0.799025 + 2.52270i) q^{15} +(-1.35366 + 2.34461i) q^{16} +(-1.67513 + 2.90141i) q^{17} +(-3.43304 + 1.25968i) q^{18} +(-0.227129 - 0.847656i) q^{19} +(0.555454 - 0.555454i) q^{20} +(1.16849 - 1.27853i) q^{21} +(0.241811 + 0.418829i) q^{22} +2.89305 q^{23} +(3.91822 + 3.58099i) q^{24} +(-2.30869 + 1.33292i) q^{25} +(0.743792 + 4.33159i) q^{26} +(0.698397 + 5.14900i) q^{27} +(-0.496641 - 0.133075i) q^{28} +(-5.53234 - 3.19410i) q^{29} +(1.73667 + 2.71818i) q^{30} +(2.69424 + 10.0550i) q^{31} +(0.732247 - 2.73278i) q^{32} +(0.655120 - 0.207499i) q^{33} +(-1.05697 + 3.94465i) q^{34} +(-1.32311 - 0.763897i) q^{35} +(1.26121 - 0.888026i) q^{36} +(1.16089 - 4.33251i) q^{37} +(-0.534850 - 0.926387i) q^{38} +(6.23816 + 0.292199i) q^{39} +(2.34107 - 4.05485i) q^{40} +(4.21977 + 4.21977i) q^{41} +(0.972438 - 1.87400i) q^{42} +1.67549i q^{43} +(-0.144246 - 0.144246i) q^{44} +(4.30286 - 1.57884i) q^{45} +(3.40632 - 0.912720i) q^{46} +(-8.80035 - 2.35805i) q^{47} +(4.16220 + 2.15981i) q^{48} +1.00000i q^{49} +(-2.29777 + 2.29777i) q^{50} +(5.15066 + 2.67273i) q^{51} +(-0.775932 - 1.68363i) q^{52} -1.65406i q^{53} +(2.44675 + 5.84218i) q^{54} +(-0.303078 - 0.524947i) q^{55} -3.06464 q^{56} +(-1.44903 + 0.458957i) q^{57} +(-7.52156 - 2.01540i) q^{58} +(2.04906 + 0.549043i) q^{59} +(-1.00432 - 0.917885i) q^{60} -8.25292 q^{61} +(6.34448 + 10.9890i) q^{62} +(-2.30316 - 1.92236i) q^{63} -8.86327i q^{64} +(-0.932245 - 5.42908i) q^{65} +(0.705885 - 0.450995i) q^{66} +(-0.544288 + 0.544288i) q^{67} -1.72257i q^{68} +(-0.225105 - 5.00584i) q^{69} +(-1.79885 - 0.482000i) q^{70} +(-4.37693 + 1.17280i) q^{71} +(5.89133 - 7.05834i) q^{72} +(3.05592 + 3.05592i) q^{73} -5.46741i q^{74} +(2.48600 + 3.89102i) q^{75} +(0.319051 + 0.319051i) q^{76} +(-0.198376 + 0.343598i) q^{77} +(7.43709 - 1.62402i) q^{78} +(-1.00409 - 1.73914i) q^{79} +(1.07053 - 3.99528i) q^{80} +(8.85499 - 1.60908i) q^{81} +(6.29971 + 3.63714i) q^{82} +(0.617132 - 2.30317i) q^{83} +(-0.191616 + 0.869693i) q^{84} +(1.32477 - 4.94410i) q^{85} +(0.528597 + 1.97275i) q^{86} +(-5.09629 + 9.82115i) q^{87} +(-1.05300 - 0.607951i) q^{88} +(-11.1144 - 2.97809i) q^{89} +(4.56815 - 3.21645i) q^{90} +(-2.77236 + 2.30521i) q^{91} +(-1.28820 + 0.743745i) q^{92} +(17.1886 - 5.44422i) q^{93} -11.1056 q^{94} +(0.670364 + 1.16110i) q^{95} +(-4.78552 - 1.05437i) q^{96} +(1.45239 - 1.45239i) q^{97} +(0.315488 + 1.17742i) q^{98} +(-0.410010 - 1.11741i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336q - 12q^{6} + 36q^{8} + O(q^{10}) \) \( 336q - 12q^{6} + 36q^{8} - 12q^{11} + 4q^{15} + 168q^{16} - 4q^{18} - 4q^{21} + 8q^{24} - 96q^{26} + 24q^{27} - 120q^{30} - 72q^{32} + 36q^{33} + 72q^{38} + 8q^{39} - 48q^{41} - 76q^{45} + 24q^{48} - 24q^{50} - 36q^{52} + 72q^{54} + 32q^{57} + 36q^{58} - 72q^{59} + 4q^{60} + 36q^{62} - 8q^{63} - 72q^{65} - 20q^{66} - 48q^{71} - 176q^{72} - 60q^{75} - 124q^{78} - 12q^{79} - 96q^{80} - 20q^{81} - 156q^{83} - 12q^{84} - 108q^{85} - 24q^{87} + 60q^{89} - 72q^{92} + 20q^{93} + 96q^{94} + 88q^{96} - 96q^{97} + 108q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.17742 0.315488i 0.832558 0.223083i 0.182729 0.983163i \(-0.441507\pi\)
0.649830 + 0.760080i \(0.274840\pi\)
\(3\) −0.0778090 1.73030i −0.0449230 0.998990i
\(4\) −0.445276 + 0.257080i −0.222638 + 0.128540i
\(5\) −1.47574 + 0.395422i −0.659969 + 0.176838i −0.573232 0.819393i \(-0.694311\pi\)
−0.0867369 + 0.996231i \(0.527644\pi\)
\(6\) −0.637502 2.01274i −0.260259 0.821696i
\(7\) 0.707107 + 0.707107i 0.267261 + 0.267261i
\(8\) −2.16703 + 2.16703i −0.766159 + 0.766159i
\(9\) −2.98789 + 0.269266i −0.995964 + 0.0897554i
\(10\) −1.61280 + 0.931152i −0.510013 + 0.294456i
\(11\) 0.102687 + 0.383234i 0.0309613 + 0.115549i 0.979677 0.200581i \(-0.0642830\pi\)
−0.948716 + 0.316130i \(0.897616\pi\)
\(12\) 0.479473 + 0.750459i 0.138412 + 0.216639i
\(13\) −0.330326 + 3.59039i −0.0916159 + 0.995794i
\(14\) 1.05564 + 0.609475i 0.282132 + 0.162889i
\(15\) 0.799025 + 2.52270i 0.206307 + 0.651359i
\(16\) −1.35366 + 2.34461i −0.338415 + 0.586152i
\(17\) −1.67513 + 2.90141i −0.406279 + 0.703696i −0.994469 0.105026i \(-0.966507\pi\)
0.588190 + 0.808723i \(0.299841\pi\)
\(18\) −3.43304 + 1.25968i −0.809175 + 0.296910i
\(19\) −0.227129 0.847656i −0.0521069 0.194466i 0.934966 0.354737i \(-0.115430\pi\)
−0.987073 + 0.160272i \(0.948763\pi\)
\(20\) 0.555454 0.555454i 0.124203 0.124203i
\(21\) 1.16849 1.27853i 0.254985 0.278998i
\(22\) 0.241811 + 0.418829i 0.0515542 + 0.0892946i
\(23\) 2.89305 0.603242 0.301621 0.953428i \(-0.402472\pi\)
0.301621 + 0.953428i \(0.402472\pi\)
\(24\) 3.91822 + 3.58099i 0.799804 + 0.730967i
\(25\) −2.30869 + 1.33292i −0.461738 + 0.266585i
\(26\) 0.743792 + 4.33159i 0.145870 + 0.849495i
\(27\) 0.698397 + 5.14900i 0.134406 + 0.990926i
\(28\) −0.496641 0.133075i −0.0938563 0.0251487i
\(29\) −5.53234 3.19410i −1.02733 0.593129i −0.111111 0.993808i \(-0.535441\pi\)
−0.916219 + 0.400679i \(0.868774\pi\)
\(30\) 1.73667 + 2.71818i 0.317070 + 0.496270i
\(31\) 2.69424 + 10.0550i 0.483900 + 1.80594i 0.584965 + 0.811059i \(0.301108\pi\)
−0.101065 + 0.994880i \(0.532225\pi\)
\(32\) 0.732247 2.73278i 0.129444 0.483093i
\(33\) 0.655120 0.207499i 0.114042 0.0361209i
\(34\) −1.05697 + 3.94465i −0.181268 + 0.676502i
\(35\) −1.32311 0.763897i −0.223646 0.129122i
\(36\) 1.26121 0.888026i 0.210202 0.148004i
\(37\) 1.16089 4.33251i 0.190850 0.712261i −0.802453 0.596716i \(-0.796472\pi\)
0.993302 0.115545i \(-0.0368614\pi\)
\(38\) −0.534850 0.926387i −0.0867641 0.150280i
\(39\) 6.23816 + 0.292199i 0.998905 + 0.0467893i
\(40\) 2.34107 4.05485i 0.370155 0.641127i
\(41\) 4.21977 + 4.21977i 0.659017 + 0.659017i 0.955148 0.296130i \(-0.0956962\pi\)
−0.296130 + 0.955148i \(0.595696\pi\)
\(42\) 0.972438 1.87400i 0.150050 0.289165i
\(43\) 1.67549i 0.255510i 0.991806 + 0.127755i \(0.0407771\pi\)
−0.991806 + 0.127755i \(0.959223\pi\)
\(44\) −0.144246 0.144246i −0.0217459 0.0217459i
\(45\) 4.30286 1.57884i 0.641433 0.235360i
\(46\) 3.40632 0.912720i 0.502234 0.134573i
\(47\) −8.80035 2.35805i −1.28366 0.343957i −0.448413 0.893826i \(-0.648011\pi\)
−0.835250 + 0.549870i \(0.814677\pi\)
\(48\) 4.16220 + 2.15981i 0.600762 + 0.311741i
\(49\) 1.00000i 0.142857i
\(50\) −2.29777 + 2.29777i −0.324953 + 0.324953i
\(51\) 5.15066 + 2.67273i 0.721237 + 0.374257i
\(52\) −0.775932 1.68363i −0.107602 0.233478i
\(53\) 1.65406i 0.227203i −0.993526 0.113601i \(-0.963761\pi\)
0.993526 0.113601i \(-0.0362387\pi\)
\(54\) 2.44675 + 5.84218i 0.332960 + 0.795020i
\(55\) −0.303078 0.524947i −0.0408670 0.0707838i
\(56\) −3.06464 −0.409529
\(57\) −1.44903 + 0.458957i −0.191929 + 0.0607903i
\(58\) −7.52156 2.01540i −0.987629 0.264634i
\(59\) 2.04906 + 0.549043i 0.266764 + 0.0714793i 0.389722 0.920933i \(-0.372571\pi\)
−0.122957 + 0.992412i \(0.539238\pi\)
\(60\) −1.00432 0.917885i −0.129658 0.118498i
\(61\) −8.25292 −1.05668 −0.528339 0.849033i \(-0.677185\pi\)
−0.528339 + 0.849033i \(0.677185\pi\)
\(62\) 6.34448 + 10.9890i 0.805750 + 1.39560i
\(63\) −2.30316 1.92236i −0.290171 0.242194i
\(64\) 8.86327i 1.10791i
\(65\) −0.932245 5.42908i −0.115631 0.673395i
\(66\) 0.705885 0.450995i 0.0868885 0.0555136i
\(67\) −0.544288 + 0.544288i −0.0664954 + 0.0664954i −0.739572 0.673077i \(-0.764972\pi\)
0.673077 + 0.739572i \(0.264972\pi\)
\(68\) 1.72257i 0.208893i
\(69\) −0.225105 5.00584i −0.0270995 0.602633i
\(70\) −1.79885 0.482000i −0.215003 0.0576100i
\(71\) −4.37693 + 1.17280i −0.519446 + 0.139185i −0.509011 0.860760i \(-0.669989\pi\)
−0.0104359 + 0.999946i \(0.503322\pi\)
\(72\) 5.89133 7.05834i 0.694300 0.831834i
\(73\) 3.05592 + 3.05592i 0.357669 + 0.357669i 0.862953 0.505284i \(-0.168612\pi\)
−0.505284 + 0.862953i \(0.668612\pi\)
\(74\) 5.46741i 0.635574i
\(75\) 2.48600 + 3.89102i 0.287058 + 0.449296i
\(76\) 0.319051 + 0.319051i 0.0365976 + 0.0365976i
\(77\) −0.198376 + 0.343598i −0.0226071 + 0.0391566i
\(78\) 7.43709 1.62402i 0.842085 0.183884i
\(79\) −1.00409 1.73914i −0.112969 0.195668i 0.803997 0.594633i \(-0.202703\pi\)
−0.916966 + 0.398965i \(0.869369\pi\)
\(80\) 1.07053 3.99528i 0.119689 0.446686i
\(81\) 8.85499 1.60908i 0.983888 0.178786i
\(82\) 6.29971 + 3.63714i 0.695686 + 0.401655i
\(83\) 0.617132 2.30317i 0.0677390 0.252805i −0.923750 0.382996i \(-0.874892\pi\)
0.991489 + 0.130191i \(0.0415589\pi\)
\(84\) −0.191616 + 0.869693i −0.0209070 + 0.0948913i
\(85\) 1.32477 4.94410i 0.143691 0.536263i
\(86\) 0.528597 + 1.97275i 0.0570001 + 0.212727i
\(87\) −5.09629 + 9.82115i −0.546380 + 1.05294i
\(88\) −1.05300 0.607951i −0.112250 0.0648078i
\(89\) −11.1144 2.97809i −1.17812 0.315677i −0.383941 0.923358i \(-0.625434\pi\)
−0.794182 + 0.607680i \(0.792100\pi\)
\(90\) 4.56815 3.21645i 0.481526 0.339044i
\(91\) −2.77236 + 2.30521i −0.290623 + 0.241652i
\(92\) −1.28820 + 0.743745i −0.134305 + 0.0775408i
\(93\) 17.1886 5.44422i 1.78238 0.564540i
\(94\) −11.1056 −1.14546
\(95\) 0.670364 + 1.16110i 0.0687779 + 0.119127i
\(96\) −4.78552 1.05437i −0.488420 0.107612i
\(97\) 1.45239 1.45239i 0.147468 0.147468i −0.629518 0.776986i \(-0.716748\pi\)
0.776986 + 0.629518i \(0.216748\pi\)
\(98\) 0.315488 + 1.17742i 0.0318691 + 0.118937i
\(99\) −0.410010 1.11741i −0.0412075 0.112304i
\(100\) 0.685337 1.18704i 0.0685337 0.118704i
\(101\) −2.95404 + 5.11655i −0.293938 + 0.509116i −0.974737 0.223354i \(-0.928299\pi\)
0.680799 + 0.732470i \(0.261633\pi\)
\(102\) 6.90768 + 1.52194i 0.683962 + 0.150695i
\(103\) 10.7177 + 6.18785i 1.05604 + 0.609707i 0.924335 0.381582i \(-0.124621\pi\)
0.131708 + 0.991289i \(0.457954\pi\)
\(104\) −7.06464 8.49628i −0.692745 0.833129i
\(105\) −1.21882 + 2.34881i −0.118945 + 0.229221i
\(106\) −0.521835 1.94752i −0.0506851 0.189160i
\(107\) 1.45206 0.838345i 0.140376 0.0810459i −0.428167 0.903699i \(-0.640841\pi\)
0.568543 + 0.822654i \(0.307507\pi\)
\(108\) −1.63469 2.11318i −0.157298 0.203341i
\(109\) −5.31608 + 5.31608i −0.509188 + 0.509188i −0.914277 0.405089i \(-0.867241\pi\)
0.405089 + 0.914277i \(0.367241\pi\)
\(110\) −0.522463 0.522463i −0.0498149 0.0498149i
\(111\) −7.58688 1.67159i −0.720115 0.158660i
\(112\) −2.61507 + 0.700705i −0.247101 + 0.0662104i
\(113\) −10.8302 + 6.25284i −1.01882 + 0.588217i −0.913763 0.406248i \(-0.866837\pi\)
−0.105060 + 0.994466i \(0.533503\pi\)
\(114\) −1.56131 + 0.997533i −0.146230 + 0.0934275i
\(115\) −4.26937 + 1.14397i −0.398121 + 0.106676i
\(116\) 3.28456 0.304964
\(117\) 0.0202074 10.8166i 0.00186817 0.999998i
\(118\) 2.58581 0.238043
\(119\) −3.23611 + 0.867112i −0.296653 + 0.0794880i
\(120\) −7.19826 3.73525i −0.657109 0.340980i
\(121\) 9.38996 5.42129i 0.853632 0.492845i
\(122\) −9.71712 + 2.60369i −0.879746 + 0.235727i
\(123\) 6.97314 7.62981i 0.628747 0.687957i
\(124\) −3.78463 3.78463i −0.339870 0.339870i
\(125\) 8.28152 8.28152i 0.740721 0.740721i
\(126\) −3.31825 1.53680i −0.295614 0.136909i
\(127\) −0.841515 + 0.485849i −0.0746724 + 0.0431121i −0.536871 0.843664i \(-0.680394\pi\)
0.462199 + 0.886776i \(0.347061\pi\)
\(128\) −1.33176 4.97019i −0.117712 0.439307i
\(129\) 2.89911 0.130368i 0.255252 0.0114783i
\(130\) −2.81045 6.09817i −0.246493 0.534845i
\(131\) −7.68391 4.43631i −0.671346 0.387602i 0.125240 0.992126i \(-0.460030\pi\)
−0.796586 + 0.604525i \(0.793363\pi\)
\(132\) −0.238365 + 0.260813i −0.0207470 + 0.0227008i
\(133\) 0.438779 0.759988i 0.0380470 0.0658993i
\(134\) −0.469137 + 0.812569i −0.0405273 + 0.0701953i
\(135\) −3.06668 7.32241i −0.263938 0.630212i
\(136\) −2.65738 9.91749i −0.227869 0.850418i
\(137\) 10.6519 10.6519i 0.910052 0.910052i −0.0862236 0.996276i \(-0.527480\pi\)
0.996276 + 0.0862236i \(0.0274799\pi\)
\(138\) −1.84432 5.82294i −0.156999 0.495682i
\(139\) −0.580027 1.00464i −0.0491972 0.0852121i 0.840378 0.542001i \(-0.182333\pi\)
−0.889575 + 0.456788i \(0.849000\pi\)
\(140\) 0.785531 0.0663895
\(141\) −3.39539 + 15.4107i −0.285943 + 1.29782i
\(142\) −4.78347 + 2.76174i −0.401420 + 0.231760i
\(143\) −1.40988 + 0.242095i −0.117900 + 0.0202450i
\(144\) 3.41326 7.36992i 0.284439 0.614160i
\(145\) 9.42729 + 2.52603i 0.782894 + 0.209776i
\(146\) 4.56219 + 2.63398i 0.377570 + 0.217990i
\(147\) 1.73030 0.0778090i 0.142713 0.00641758i
\(148\) 0.596885 + 2.22761i 0.0490637 + 0.183108i
\(149\) 5.10814 19.0638i 0.418475 1.56177i −0.359296 0.933224i \(-0.616983\pi\)
0.777771 0.628547i \(-0.216350\pi\)
\(150\) 4.15462 + 3.79705i 0.339223 + 0.310027i
\(151\) −4.26542 + 15.9187i −0.347115 + 1.29545i 0.543008 + 0.839728i \(0.317285\pi\)
−0.890122 + 0.455722i \(0.849381\pi\)
\(152\) 2.32909 + 1.34470i 0.188914 + 0.109069i
\(153\) 4.22386 9.12017i 0.341479 0.737322i
\(154\) −0.125171 + 0.467143i −0.0100865 + 0.0376434i
\(155\) −7.95197 13.7732i −0.638718 1.10629i
\(156\) −2.85282 + 1.47360i −0.228408 + 0.117982i
\(157\) −8.57426 + 14.8511i −0.684301 + 1.18524i 0.289355 + 0.957222i \(0.406559\pi\)
−0.973656 + 0.228022i \(0.926774\pi\)
\(158\) −1.73091 1.73091i −0.137704 0.137704i
\(159\) −2.86202 + 0.128701i −0.226973 + 0.0102066i
\(160\) 4.32241i 0.341717i
\(161\) 2.04569 + 2.04569i 0.161223 + 0.161223i
\(162\) 9.91836 4.68819i 0.779260 0.368339i
\(163\) 13.5539 3.63176i 1.06162 0.284461i 0.314577 0.949232i \(-0.398137\pi\)
0.747047 + 0.664771i \(0.231471\pi\)
\(164\) −2.96378 0.794143i −0.231432 0.0620121i
\(165\) −0.884734 + 0.565262i −0.0688765 + 0.0440056i
\(166\) 2.90648i 0.225587i
\(167\) −5.76517 + 5.76517i −0.446122 + 0.446122i −0.894063 0.447941i \(-0.852157\pi\)
0.447941 + 0.894063i \(0.352157\pi\)
\(168\) 0.238456 + 5.30275i 0.0183973 + 0.409116i
\(169\) −12.7818 2.37199i −0.983213 0.182461i
\(170\) 6.23921i 0.478526i
\(171\) 0.906881 + 2.47155i 0.0693509 + 0.189004i
\(172\) −0.430736 0.746056i −0.0328433 0.0568863i
\(173\) 14.5973 1.10981 0.554907 0.831913i \(-0.312754\pi\)
0.554907 + 0.831913i \(0.312754\pi\)
\(174\) −2.90200 + 13.1714i −0.220000 + 0.998520i
\(175\) −2.57501 0.689972i −0.194652 0.0521570i
\(176\) −1.03754 0.278007i −0.0782072 0.0209555i
\(177\) 0.790575 3.58821i 0.0594233 0.269706i
\(178\) −14.0258 −1.05128
\(179\) 2.78967 + 4.83185i 0.208510 + 0.361149i 0.951245 0.308436i \(-0.0998054\pi\)
−0.742736 + 0.669585i \(0.766472\pi\)
\(180\) −1.51007 + 1.80920i −0.112554 + 0.134850i
\(181\) 24.7138i 1.83697i 0.395461 + 0.918483i \(0.370585\pi\)
−0.395461 + 0.918483i \(0.629415\pi\)
\(182\) −2.53696 + 3.58884i −0.188052 + 0.266022i
\(183\) 0.642151 + 14.2800i 0.0474692 + 1.05561i
\(184\) −6.26930 + 6.26930i −0.462179 + 0.462179i
\(185\) 6.85268i 0.503819i
\(186\) 18.5206 11.8329i 1.35799 0.867631i
\(187\) −1.28393 0.344029i −0.0938905 0.0251579i
\(188\) 4.52479 1.21241i 0.330004 0.0884244i
\(189\) −3.14705 + 4.13474i −0.228915 + 0.300758i
\(190\) 1.15561 + 1.15561i 0.0838368 + 0.0838368i
\(191\) 10.5983i 0.766863i −0.923569 0.383431i \(-0.874742\pi\)
0.923569 0.383431i \(-0.125258\pi\)
\(192\) −15.3361 + 0.689642i −1.10679 + 0.0497707i
\(193\) −6.48084 6.48084i −0.466501 0.466501i 0.434278 0.900779i \(-0.357004\pi\)
−0.900779 + 0.434278i \(0.857004\pi\)
\(194\) 1.25186 2.16828i 0.0898781 0.155673i
\(195\) −9.32141 + 2.03550i −0.667520 + 0.145765i
\(196\) −0.257080 0.445276i −0.0183629 0.0318054i
\(197\) −1.72405 + 6.43424i −0.122833 + 0.458421i −0.999753 0.0222161i \(-0.992928\pi\)
0.876920 + 0.480637i \(0.159594\pi\)
\(198\) −0.835281 1.18630i −0.0593608 0.0843069i
\(199\) 1.29333 + 0.746707i 0.0916821 + 0.0529327i 0.545140 0.838345i \(-0.316476\pi\)
−0.453458 + 0.891278i \(0.649810\pi\)
\(200\) 2.11451 7.89147i 0.149519 0.558011i
\(201\) 0.984133 + 0.899432i 0.0694154 + 0.0634411i
\(202\) −1.86393 + 6.95627i −0.131145 + 0.489441i
\(203\) −1.65339 6.17052i −0.116045 0.433086i
\(204\) −2.98057 + 0.134032i −0.208682 + 0.00938410i
\(205\) −7.89585 4.55867i −0.551470 0.318392i
\(206\) 14.5713 + 3.90438i 1.01523 + 0.272031i
\(207\) −8.64411 + 0.778999i −0.600807 + 0.0541442i
\(208\) −7.97090 5.63464i −0.552682 0.390692i
\(209\) 0.301527 0.174087i 0.0208571 0.0120418i
\(210\) −0.694039 + 3.15005i −0.0478932 + 0.217374i
\(211\) 17.5342 1.20710 0.603552 0.797324i \(-0.293752\pi\)
0.603552 + 0.797324i \(0.293752\pi\)
\(212\) 0.425226 + 0.736514i 0.0292047 + 0.0505840i
\(213\) 2.36986 + 7.48216i 0.162380 + 0.512669i
\(214\) 1.44519 1.44519i 0.0987909 0.0987909i
\(215\) −0.662527 2.47258i −0.0451839 0.168629i
\(216\) −12.6715 9.64458i −0.862184 0.656230i
\(217\) −5.20487 + 9.01510i −0.353330 + 0.611985i
\(218\) −4.58208 + 7.93639i −0.310338 + 0.537520i
\(219\) 5.04989 5.52545i 0.341240 0.373375i
\(220\) 0.269907 + 0.155831i 0.0181971 + 0.0105061i
\(221\) −9.86386 6.97278i −0.663515 0.469040i
\(222\) −9.46028 + 0.425414i −0.634932 + 0.0285519i
\(223\) 4.51016 + 16.8321i 0.302023 + 1.12716i 0.935478 + 0.353385i \(0.114969\pi\)
−0.633455 + 0.773779i \(0.718364\pi\)
\(224\) 2.45015 1.41459i 0.163707 0.0945165i
\(225\) 6.53921 4.60428i 0.435947 0.306952i
\(226\) −10.7790 + 10.7790i −0.717008 + 0.717008i
\(227\) −20.2293 20.2293i −1.34266 1.34266i −0.893398 0.449266i \(-0.851686\pi\)
−0.449266 0.893398i \(-0.648314\pi\)
\(228\) 0.527229 0.576879i 0.0349166 0.0382047i
\(229\) 21.7934 5.83951i 1.44015 0.385886i 0.547561 0.836766i \(-0.315556\pi\)
0.892585 + 0.450880i \(0.148890\pi\)
\(230\) −4.66591 + 2.69387i −0.307661 + 0.177628i
\(231\) 0.609964 + 0.316516i 0.0401327 + 0.0208252i
\(232\) 18.9104 5.06703i 1.24153 0.332667i
\(233\) −3.67097 −0.240493 −0.120247 0.992744i \(-0.538369\pi\)
−0.120247 + 0.992744i \(0.538369\pi\)
\(234\) −3.38872 12.7420i −0.221528 0.832974i
\(235\) 13.9194 0.908003
\(236\) −1.05354 + 0.282296i −0.0685799 + 0.0183759i
\(237\) −2.93110 + 1.87270i −0.190396 + 0.121645i
\(238\) −3.53668 + 2.04190i −0.229249 + 0.132357i
\(239\) 10.5654 2.83100i 0.683421 0.183122i 0.0996283 0.995025i \(-0.468235\pi\)
0.583793 + 0.811903i \(0.301568\pi\)
\(240\) −6.99635 1.54148i −0.451612 0.0995019i
\(241\) 11.0219 + 11.0219i 0.709985 + 0.709985i 0.966532 0.256547i \(-0.0825847\pi\)
−0.256547 + 0.966532i \(0.582585\pi\)
\(242\) 9.34553 9.34553i 0.600753 0.600753i
\(243\) −3.47319 15.1966i −0.222805 0.974863i
\(244\) 3.67483 2.12166i 0.235257 0.135826i
\(245\) −0.395422 1.47574i −0.0252626 0.0942813i
\(246\) 5.80317 11.1834i 0.369997 0.713027i
\(247\) 3.11844 0.535478i 0.198422 0.0340716i
\(248\) −27.6280 15.9510i −1.75438 1.01289i
\(249\) −4.03319 0.888617i −0.255593 0.0563138i
\(250\) 7.13807 12.3635i 0.451451 0.781936i
\(251\) 0.318470 0.551606i 0.0201016 0.0348171i −0.855800 0.517307i \(-0.826934\pi\)
0.875901 + 0.482490i \(0.160268\pi\)
\(252\) 1.51974 + 0.263884i 0.0957347 + 0.0166231i
\(253\) 0.297079 + 1.10871i 0.0186772 + 0.0697042i
\(254\) −0.837534 + 0.837534i −0.0525516 + 0.0525516i
\(255\) −8.65787 1.90755i −0.542177 0.119456i
\(256\) 5.72721 + 9.91982i 0.357951 + 0.619989i
\(257\) 23.6485 1.47515 0.737575 0.675265i \(-0.235971\pi\)
0.737575 + 0.675265i \(0.235971\pi\)
\(258\) 3.37232 1.06813i 0.209952 0.0664989i
\(259\) 3.88442 2.24267i 0.241366 0.139353i
\(260\) 1.81082 + 2.17778i 0.112302 + 0.135060i
\(261\) 17.3901 + 8.05395i 1.07642 + 0.498527i
\(262\) −10.4468 2.79920i −0.645402 0.172935i
\(263\) 15.1212 + 8.73021i 0.932411 + 0.538328i 0.887573 0.460666i \(-0.152390\pi\)
0.0448379 + 0.998994i \(0.485723\pi\)
\(264\) −0.970006 + 1.86932i −0.0596998 + 0.115048i
\(265\) 0.654052 + 2.44096i 0.0401781 + 0.149947i
\(266\) 0.276859 1.03325i 0.0169753 0.0633527i
\(267\) −4.28820 + 19.4630i −0.262434 + 1.19111i
\(268\) 0.102433 0.382284i 0.00625707 0.0233517i
\(269\) 14.0727 + 8.12486i 0.858026 + 0.495381i 0.863351 0.504604i \(-0.168362\pi\)
−0.00532481 + 0.999986i \(0.501695\pi\)
\(270\) −5.92088 7.65401i −0.360333 0.465808i
\(271\) −1.12739 + 4.20748i −0.0684840 + 0.255586i −0.991677 0.128751i \(-0.958903\pi\)
0.923193 + 0.384337i \(0.125570\pi\)
\(272\) −4.53511 7.85505i −0.274982 0.476282i
\(273\) 4.20443 + 4.61766i 0.254464 + 0.279473i
\(274\) 9.18116 15.9022i 0.554654 0.960689i
\(275\) −0.747894 0.747894i −0.0450997 0.0450997i
\(276\) 1.38714 + 2.17111i 0.0834959 + 0.130686i
\(277\) 15.1810i 0.912135i 0.889945 + 0.456068i \(0.150743\pi\)
−0.889945 + 0.456068i \(0.849257\pi\)
\(278\) −0.999883 0.999883i −0.0599690 0.0599690i
\(279\) −10.7576 29.3179i −0.644039 1.75522i
\(280\) 4.52259 1.21182i 0.270277 0.0724204i
\(281\) −2.42339 0.649344i −0.144567 0.0387366i 0.185810 0.982586i \(-0.440509\pi\)
−0.330377 + 0.943849i \(0.607176\pi\)
\(282\) 0.864116 + 19.2161i 0.0514574 + 1.14430i
\(283\) 0.542668i 0.0322582i 0.999870 + 0.0161291i \(0.00513428\pi\)
−0.999870 + 0.0161291i \(0.994866\pi\)
\(284\) 1.64744 1.64744i 0.0977576 0.0977576i
\(285\) 1.95690 1.25028i 0.115917 0.0740600i
\(286\) −1.58363 + 0.729845i −0.0936422 + 0.0431566i
\(287\) 5.96766i 0.352260i
\(288\) −1.45203 + 8.36243i −0.0855617 + 0.492761i
\(289\) 2.88787 + 5.00193i 0.169874 + 0.294231i
\(290\) 11.8968 0.698602
\(291\) −2.62609 2.40007i −0.153944 0.140694i
\(292\) −2.14635 0.575112i −0.125605 0.0336559i
\(293\) −1.49350 0.400182i −0.0872513 0.0233789i 0.214929 0.976630i \(-0.431048\pi\)
−0.302181 + 0.953251i \(0.597715\pi\)
\(294\) 2.01274 0.637502i 0.117385 0.0371799i
\(295\) −3.24097 −0.188696
\(296\) 6.87298 + 11.9043i 0.399484 + 0.691926i
\(297\) −1.90156 + 0.796386i −0.110339 + 0.0462110i
\(298\) 24.0576i 1.39362i
\(299\) −0.955647 + 10.3872i −0.0552665 + 0.600705i
\(300\) −2.10726 1.09348i −0.121663 0.0631319i
\(301\) −1.18475 + 1.18475i −0.0682880 + 0.0682880i
\(302\) 20.0887i 1.15597i
\(303\) 9.08303 + 4.71327i 0.521806 + 0.270770i
\(304\) 2.29487 + 0.614910i 0.131620 + 0.0352675i
\(305\) 12.1791 3.26339i 0.697375 0.186861i
\(306\) 2.09594 12.0708i 0.119817 0.690042i
\(307\) 1.89048 + 1.89048i 0.107895 + 0.107895i 0.758994 0.651098i \(-0.225691\pi\)
−0.651098 + 0.758994i \(0.725691\pi\)
\(308\) 0.203995i 0.0116237i
\(309\) 9.87291 19.0263i 0.561650 1.08237i
\(310\) −13.7081 13.7081i −0.778565 0.778565i
\(311\) 7.20911 12.4865i 0.408791 0.708047i −0.585963 0.810338i \(-0.699284\pi\)
0.994755 + 0.102290i \(0.0326171\pi\)
\(312\) −14.1514 + 12.8850i −0.801168 + 0.729472i
\(313\) −16.3304 28.2851i −0.923049 1.59877i −0.794670 0.607042i \(-0.792356\pi\)
−0.128379 0.991725i \(-0.540977\pi\)
\(314\) −5.41015 + 20.1909i −0.305312 + 1.13944i
\(315\) 4.15899 + 1.92617i 0.234333 + 0.108528i
\(316\) 0.894195 + 0.516264i 0.0503024 + 0.0290421i
\(317\) 2.87574 10.7324i 0.161518 0.602792i −0.836941 0.547293i \(-0.815658\pi\)
0.998459 0.0554989i \(-0.0176749\pi\)
\(318\) −3.32919 + 1.05447i −0.186692 + 0.0591316i
\(319\) 0.655986 2.44817i 0.0367281 0.137071i
\(320\) 3.50473 + 13.0798i 0.195921 + 0.731186i
\(321\) −1.56357 2.44727i −0.0872702 0.136593i
\(322\) 3.05402 + 1.76324i 0.170194 + 0.0982615i
\(323\) 2.83987 + 0.760941i 0.158015 + 0.0423399i
\(324\) −3.52925 + 2.99293i −0.196070 + 0.166274i
\(325\) −4.02309 8.72940i −0.223161 0.484220i
\(326\) 14.8128 8.55218i 0.820405 0.473661i
\(327\) 9.61207 + 8.78479i 0.531549 + 0.485800i
\(328\) −18.2887 −1.00982
\(329\) −4.55540 7.89018i −0.251147 0.435000i
\(330\) −0.863366 + 0.944671i −0.0475268 + 0.0520024i
\(331\) 9.47302 9.47302i 0.520684 0.520684i −0.397094 0.917778i \(-0.629981\pi\)
0.917778 + 0.397094i \(0.129981\pi\)
\(332\) 0.317305 + 1.18420i 0.0174144 + 0.0649913i
\(333\) −2.30202 + 13.2577i −0.126150 + 0.726516i
\(334\) −4.96916 + 8.60683i −0.271900 + 0.470945i
\(335\) 0.588002 1.01845i 0.0321260 0.0556438i
\(336\) 1.41591 + 4.47034i 0.0772441 + 0.243877i
\(337\) 28.9527 + 16.7158i 1.57715 + 0.910569i 0.995254 + 0.0973066i \(0.0310227\pi\)
0.581897 + 0.813262i \(0.302311\pi\)
\(338\) −15.7978 + 1.23967i −0.859286 + 0.0674289i
\(339\) 11.6620 + 18.2530i 0.633392 + 0.991369i
\(340\) 0.681144 + 2.54206i 0.0369402 + 0.137863i
\(341\) −3.57677 + 2.06505i −0.193693 + 0.111829i
\(342\) 1.84752 + 2.62393i 0.0999023 + 0.141886i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −3.63083 3.63083i −0.195761 0.195761i
\(345\) 2.31162 + 7.29829i 0.124453 + 0.392927i
\(346\) 17.1871 4.60527i 0.923985 0.247581i
\(347\) −11.5199 + 6.65102i −0.618421 + 0.357046i −0.776254 0.630420i \(-0.782883\pi\)
0.157833 + 0.987466i \(0.449549\pi\)
\(348\) −0.255568 5.68328i −0.0136999 0.304656i
\(349\) 0.644470 0.172685i 0.0344977 0.00924363i −0.241529 0.970394i \(-0.577649\pi\)
0.276027 + 0.961150i \(0.410982\pi\)
\(350\) −3.24953 −0.173695
\(351\) −18.7176 + 0.806667i −0.999073 + 0.0430567i
\(352\) 1.12249 0.0598288
\(353\) 21.7528 5.82865i 1.15779 0.310228i 0.371705 0.928351i \(-0.378773\pi\)
0.786081 + 0.618123i \(0.212107\pi\)
\(354\) −0.201199 4.47423i −0.0106936 0.237802i
\(355\) 5.99545 3.46147i 0.318205 0.183716i
\(356\) 5.71458 1.53122i 0.302872 0.0811543i
\(357\) 1.75216 + 5.53197i 0.0927344 + 0.292783i
\(358\) 4.80899 + 4.80899i 0.254163 + 0.254163i
\(359\) −6.86464 + 6.86464i −0.362302 + 0.362302i −0.864660 0.502358i \(-0.832466\pi\)
0.502358 + 0.864660i \(0.332466\pi\)
\(360\) −5.90302 + 12.7458i −0.311116 + 0.671763i
\(361\) 15.7875 9.11495i 0.830924 0.479734i
\(362\) 7.79691 + 29.0985i 0.409796 + 1.52938i
\(363\) −10.1111 15.8256i −0.530695 0.830630i
\(364\) 0.641842 1.73918i 0.0336417 0.0911576i
\(365\) −5.71811 3.30135i −0.299300 0.172801i
\(366\) 5.26126 + 16.6110i 0.275010 + 0.868269i
\(367\) −14.5446 + 25.1920i −0.759224 + 1.31501i 0.184023 + 0.982922i \(0.441088\pi\)
−0.943247 + 0.332092i \(0.892245\pi\)
\(368\) −3.91620 + 6.78305i −0.204146 + 0.353591i
\(369\) −13.7445 11.4720i −0.715508 0.597207i
\(370\) 2.16194 + 8.06846i 0.112394 + 0.419459i
\(371\) 1.16960 1.16960i 0.0607225 0.0607225i
\(372\) −6.25408 + 6.84304i −0.324259 + 0.354795i
\(373\) 11.8378 + 20.5037i 0.612940 + 1.06164i 0.990742 + 0.135756i \(0.0433464\pi\)
−0.377803 + 0.925886i \(0.623320\pi\)
\(374\) −1.62026 −0.0837817
\(375\) −14.9739 13.6851i −0.773249 0.706698i
\(376\) 24.1805 13.9606i 1.24702 0.719965i
\(377\) 13.2955 18.8082i 0.684754 0.968669i
\(378\) −2.40093 + 5.86116i −0.123491 + 0.301466i
\(379\) −27.6483 7.40833i −1.42020 0.380540i −0.534642 0.845078i \(-0.679554\pi\)
−0.885553 + 0.464538i \(0.846220\pi\)
\(380\) −0.596994 0.344675i −0.0306251 0.0176814i
\(381\) 0.906143 + 1.41827i 0.0464231 + 0.0726603i
\(382\) −3.34362 12.4785i −0.171074 0.638458i
\(383\) −8.02182 + 29.9378i −0.409896 + 1.52975i 0.384948 + 0.922938i \(0.374219\pi\)
−0.794844 + 0.606814i \(0.792447\pi\)
\(384\) −8.49630 + 2.69107i −0.433575 + 0.137328i
\(385\) 0.156885 0.585502i 0.00799559 0.0298399i
\(386\) −9.67526 5.58602i −0.492458 0.284321i
\(387\) −0.451153 5.00619i −0.0229334 0.254479i
\(388\) −0.273334 + 1.02010i −0.0138764 + 0.0517876i
\(389\) −8.46327 14.6588i −0.429105 0.743231i 0.567689 0.823243i \(-0.307838\pi\)
−0.996794 + 0.0800117i \(0.974504\pi\)
\(390\) −10.3330 + 5.33742i −0.523232 + 0.270271i
\(391\) −4.84623 + 8.39392i −0.245085 + 0.424499i
\(392\) −2.16703 2.16703i −0.109451 0.109451i
\(393\) −7.07827 + 13.6407i −0.357052 + 0.688081i
\(394\) 8.11969i 0.409064i
\(395\) 2.16946 + 2.16946i 0.109158 + 0.109158i
\(396\) 0.469832 + 0.392151i 0.0236099 + 0.0197063i
\(397\) 15.2939 4.09799i 0.767579 0.205672i 0.146278 0.989244i \(-0.453271\pi\)
0.621302 + 0.783571i \(0.286604\pi\)
\(398\) 1.75837 + 0.471154i 0.0881391 + 0.0236168i
\(399\) −1.34915 0.700087i −0.0675419 0.0350482i
\(400\) 7.21730i 0.360865i
\(401\) −11.3481 + 11.3481i −0.566699 + 0.566699i −0.931202 0.364503i \(-0.881239\pi\)
0.364503 + 0.931202i \(0.381239\pi\)
\(402\) 1.44249 + 0.748524i 0.0719450 + 0.0373330i
\(403\) −36.9915 + 6.35193i −1.84268 + 0.316412i
\(404\) 3.03770i 0.151131i
\(405\) −12.4314 + 5.87603i −0.617719 + 0.291982i
\(406\) −3.89345 6.74365i −0.193229 0.334682i
\(407\) 1.77957 0.0882102
\(408\) −16.9535 + 5.36975i −0.839323 + 0.265842i
\(409\) −30.2956 8.11768i −1.49802 0.401394i −0.585585 0.810611i \(-0.699135\pi\)
−0.912437 + 0.409218i \(0.865802\pi\)
\(410\) −10.7349 2.87641i −0.530159 0.142056i
\(411\) −19.2598 17.6022i −0.950016 0.868251i
\(412\) −6.36309 −0.313487
\(413\) 1.06067 + 1.83713i 0.0521921 + 0.0903994i
\(414\) −9.93194 + 3.64431i −0.488128 + 0.179108i
\(415\) 3.64289i 0.178823i
\(416\) 9.56988 + 3.53176i 0.469202 + 0.173159i
\(417\) −1.69319 + 1.08179i −0.0829160 + 0.0529756i
\(418\) 0.300100 0.300100i 0.0146784 0.0146784i
\(419\) 26.5180i 1.29549i 0.761857 + 0.647746i \(0.224288\pi\)
−0.761857 + 0.647746i \(0.775712\pi\)
\(420\) −0.0611214 1.35921i −0.00298242 0.0663225i
\(421\) 24.2047 + 6.48563i 1.17967 + 0.316090i 0.794794 0.606880i \(-0.207579\pi\)
0.384872 + 0.922970i \(0.374246\pi\)
\(422\) 20.6450 5.53182i 1.00498 0.269285i
\(423\) 26.9294 + 4.67595i 1.30935 + 0.227353i
\(424\) 3.58439 + 3.58439i 0.174073 + 0.174073i
\(425\) 8.93129i 0.433231i
\(426\) 5.15083 + 8.06195i 0.249559 + 0.390603i
\(427\) −5.83570 5.83570i −0.282409 0.282409i
\(428\) −0.431044 + 0.746590i −0.0208353 + 0.0360878i
\(429\) 0.528598 + 2.42068i 0.0255210 + 0.116871i
\(430\) −1.56014 2.70224i −0.0752365 0.130313i
\(431\) 9.43107 35.1972i 0.454279 1.69539i −0.235922 0.971772i \(-0.575811\pi\)
0.690200 0.723618i \(-0.257522\pi\)
\(432\) −13.0178 5.33253i −0.626318 0.256561i
\(433\) 2.77144 + 1.60009i 0.133187 + 0.0768954i 0.565113 0.825014i \(-0.308833\pi\)
−0.431926 + 0.901909i \(0.642166\pi\)
\(434\) −3.28414 + 12.2566i −0.157644 + 0.588335i
\(435\) 3.63727 16.5086i 0.174394 0.791527i
\(436\) 1.00046 3.73378i 0.0479135 0.178816i
\(437\) −0.657094 2.45231i −0.0314331 0.117310i
\(438\) 4.20261 8.09892i 0.200808 0.386982i
\(439\) 20.1170 + 11.6145i 0.960131 + 0.554332i 0.896214 0.443623i \(-0.146307\pi\)
0.0639180 + 0.997955i \(0.479640\pi\)
\(440\) 1.79435 + 0.480795i 0.0855423 + 0.0229210i
\(441\) −0.269266 2.98789i −0.0128222 0.142281i
\(442\) −13.8137 5.09794i −0.657050 0.242484i
\(443\) −33.1964 + 19.1659i −1.57721 + 0.910601i −0.581961 + 0.813217i \(0.697714\pi\)
−0.995247 + 0.0973845i \(0.968952\pi\)
\(444\) 3.80799 1.20612i 0.180719 0.0572399i
\(445\) 17.5795 0.833348
\(446\) 10.6207 + 18.3955i 0.502903 + 0.871054i
\(447\) −33.3837 7.35529i −1.57899 0.347893i
\(448\) 6.26728 6.26728i 0.296101 0.296101i
\(449\) 9.77334 + 36.4746i 0.461232 + 1.72134i 0.669089 + 0.743183i \(0.266685\pi\)
−0.207856 + 0.978159i \(0.566649\pi\)
\(450\) 6.24677 7.48419i 0.294476 0.352808i
\(451\) −1.18384 + 2.05047i −0.0557449 + 0.0965530i
\(452\) 3.21496 5.56848i 0.151219 0.261919i
\(453\) 27.8761 + 6.14184i 1.30973 + 0.288569i
\(454\) −30.2003 17.4362i −1.41737 0.818320i
\(455\) 3.17974 4.49814i 0.149069 0.210876i
\(456\) 2.14551 4.13465i 0.100473 0.193623i
\(457\) −6.16215 22.9975i −0.288253 1.07578i −0.946429 0.322912i \(-0.895338\pi\)
0.658176 0.752864i \(-0.271328\pi\)
\(458\) 23.8176 13.7511i 1.11292 0.642545i
\(459\) −16.1093 6.59892i −0.751918 0.308011i
\(460\) 1.60695 1.60695i 0.0749247 0.0749247i
\(461\) 24.8266 + 24.8266i 1.15629 + 1.15629i 0.985267 + 0.171021i \(0.0547066\pi\)
0.171021 + 0.985267i \(0.445293\pi\)
\(462\) 0.818037 + 0.180235i 0.0380585 + 0.00838529i
\(463\) −27.2532 + 7.30248i −1.26657 + 0.339375i −0.828714 0.559672i \(-0.810927\pi\)
−0.437851 + 0.899047i \(0.644260\pi\)
\(464\) 14.9778 8.64744i 0.695327 0.401447i
\(465\) −23.2131 + 14.8310i −1.07648 + 0.687771i
\(466\) −4.32226 + 1.15815i −0.200225 + 0.0536501i
\(467\) −32.4424 −1.50126 −0.750628 0.660726i \(-0.770249\pi\)
−0.750628 + 0.660726i \(0.770249\pi\)
\(468\) 2.77175 + 4.82158i 0.128124 + 0.222878i
\(469\) −0.769740 −0.0355433
\(470\) 16.3889 4.39140i 0.755965 0.202560i
\(471\) 26.3640 + 13.6805i 1.21479 + 0.630365i
\(472\) −5.63015 + 3.25057i −0.259148 + 0.149619i
\(473\) −0.642105 + 0.172051i −0.0295240 + 0.00791094i
\(474\) −2.86031 + 3.12967i −0.131378 + 0.143751i
\(475\) 1.65423 + 1.65423i 0.0759013 + 0.0759013i
\(476\) 1.21804 1.21804i 0.0558289 0.0558289i
\(477\) 0.445383 + 4.94215i 0.0203927 + 0.226286i
\(478\) 11.5468 6.66653i 0.528137 0.304920i
\(479\) 0.873843 + 3.26123i 0.0399269 + 0.149009i 0.983012 0.183543i \(-0.0587568\pi\)
−0.943085 + 0.332553i \(0.892090\pi\)
\(480\) 7.47908 0.336323i 0.341372 0.0153510i
\(481\) 15.1719 + 5.59920i 0.691780 + 0.255301i
\(482\) 16.4547 + 9.50011i 0.749490 + 0.432718i
\(483\) 3.38049 3.69884i 0.153818 0.168303i
\(484\) −2.78741 + 4.82794i −0.126701 + 0.219452i
\(485\) −1.56904 + 2.71765i −0.0712463 + 0.123402i
\(486\) −8.88372 16.7970i −0.402974 0.761926i
\(487\) −4.02155 15.0086i −0.182234 0.680106i −0.995206 0.0978032i \(-0.968818\pi\)
0.812972 0.582303i \(-0.197848\pi\)
\(488\) 17.8843 17.8843i 0.809584 0.809584i
\(489\) −7.33866 23.1698i −0.331865 1.04777i
\(490\) −0.931152 1.61280i −0.0420652 0.0728590i
\(491\) −7.66939 −0.346115 −0.173057 0.984912i \(-0.555365\pi\)
−0.173057 + 0.984912i \(0.555365\pi\)
\(492\) −1.14350 + 5.19003i −0.0515529 + 0.233985i
\(493\) 18.5348 10.7011i 0.834765 0.481952i
\(494\) 3.50276 1.61431i 0.157597 0.0726312i
\(495\) 1.04691 + 1.48687i 0.0470553 + 0.0668301i
\(496\) −27.2222 7.29417i −1.22231 0.327518i
\(497\) −3.92425 2.26567i −0.176027 0.101629i
\(498\) −5.02909 + 0.226150i −0.225359 + 0.0101340i
\(499\) 2.66639 + 9.95110i 0.119364 + 0.445472i 0.999576 0.0291078i \(-0.00926660\pi\)
−0.880212 + 0.474580i \(0.842600\pi\)
\(500\) −1.55855 + 5.81657i −0.0697003 + 0.260125i
\(501\) 10.4241 + 9.52690i 0.465713 + 0.425630i
\(502\) 0.200946 0.749942i 0.00896868 0.0334716i
\(503\) −29.7393 17.1700i −1.32601 0.765573i −0.341330 0.939943i \(-0.610878\pi\)
−0.984680 + 0.174371i \(0.944211\pi\)
\(504\) 9.15680 0.825203i 0.407876 0.0367575i
\(505\) 2.33619 8.71877i 0.103959 0.387980i
\(506\) 0.699570 + 1.21169i 0.0310997 + 0.0538662i
\(507\) −3.10973 + 22.3009i −0.138108 + 0.990417i
\(508\) 0.249804 0.432674i 0.0110833 0.0191968i
\(509\) 25.7832 + 25.7832i 1.14282 + 1.14282i 0.987932 + 0.154888i \(0.0495015\pi\)
0.154888 + 0.987932i \(0.450498\pi\)
\(510\) −10.7957 + 0.485467i −0.478043 + 0.0214968i
\(511\) 4.32173i 0.191182i
\(512\) 17.1497 + 17.1497i 0.757919 + 0.757919i
\(513\) 4.20596 1.76149i 0.185698 0.0777716i
\(514\) 27.8441 7.46080i 1.22815 0.329082i
\(515\) −18.2632 4.89362i −0.804775 0.215639i
\(516\) −1.25739 + 0.803353i −0.0553534 + 0.0353657i
\(517\) 3.61473i 0.158976i
\(518\) 3.86605 3.86605i 0.169864 0.169864i
\(519\) −1.13580 25.2578i −0.0498562 1.10869i
\(520\) 13.7852 + 9.74475i 0.604519 + 0.427336i
\(521\) 21.2074i 0.929114i 0.885543 + 0.464557i \(0.153786\pi\)
−0.885543 + 0.464557i \(0.846214\pi\)
\(522\) 23.0163 + 3.99648i 1.00740 + 0.174921i
\(523\) −3.76744 6.52540i −0.164739 0.285336i 0.771824 0.635837i \(-0.219345\pi\)
−0.936562 + 0.350501i \(0.886011\pi\)
\(524\) 4.56195 0.199290
\(525\) −0.993501 + 4.50923i −0.0433599 + 0.196799i
\(526\) 20.5582 + 5.50855i 0.896379 + 0.240184i
\(527\) −33.6870 9.02642i −1.46743 0.393197i
\(528\) −0.400306 + 1.81688i −0.0174211 + 0.0790696i
\(529\) −14.6303 −0.636099
\(530\) 1.54018 + 2.66767i 0.0669012 + 0.115876i
\(531\) −6.27020 1.08874i −0.272103 0.0472473i
\(532\) 0.451206i 0.0195622i
\(533\) −16.5445 + 13.7567i −0.716622 + 0.595869i
\(534\) 1.09133 + 24.2689i 0.0472266 + 1.05022i
\(535\) −1.81135 + 1.81135i −0.0783115 + 0.0783115i
\(536\) 2.35897i 0.101892i
\(537\) 8.14349 5.20293i 0.351418 0.224523i
\(538\) 19.1327 + 5.12658i 0.824868 + 0.221023i
\(539\) −0.383234 + 0.102687i −0.0165070 + 0.00442305i
\(540\) 3.24796 + 2.47211i 0.139770 + 0.106383i
\(541\) −16.2888 16.2888i −0.700309 0.700309i 0.264167 0.964477i \(-0.414903\pi\)
−0.964477 + 0.264167i \(0.914903\pi\)
\(542\) 5.30962i 0.228068i
\(543\) 42.7624 1.92296i 1.83511 0.0825221i
\(544\) 6.70233 + 6.70233i 0.287360 + 0.287360i
\(545\) 5.74303 9.94723i 0.246005 0.426092i
\(546\) 6.40717 + 4.11046i 0.274202 + 0.175911i
\(547\) −6.85569 11.8744i −0.293128 0.507713i 0.681420 0.731893i \(-0.261363\pi\)
−0.974548 + 0.224180i \(0.928030\pi\)
\(548\) −2.00464 + 7.48142i −0.0856340 + 0.319590i
\(549\) 24.6588 2.22223i 1.05241 0.0948426i
\(550\) −1.11653 0.644631i −0.0476091 0.0274871i
\(551\) −1.45094 + 5.41499i −0.0618123 + 0.230686i
\(552\) 11.3356 + 10.3600i 0.482475 + 0.440950i
\(553\) 0.519755 1.93975i 0.0221022 0.0824867i
\(554\) 4.78940 + 17.8743i 0.203482 + 0.759406i
\(555\) 11.8572 0.533200i 0.503311 0.0226331i
\(556\) 0.516544 + 0.298227i 0.0219064 + 0.0126476i
\(557\) −16.5992 4.44774i −0.703331 0.188457i −0.110609 0.993864i \(-0.535280\pi\)
−0.592722 + 0.805407i \(0.701947\pi\)
\(558\) −21.9156 31.1255i −0.927760 1.31765i
\(559\) −6.01567 0.553458i −0.254436 0.0234088i
\(560\) 3.58207 2.06811i 0.151370 0.0873937i
\(561\) −0.495373 + 2.24836i −0.0209146 + 0.0949259i
\(562\) −3.05819 −0.129002
\(563\) 18.1746 + 31.4793i 0.765967 + 1.32669i 0.939734 + 0.341906i \(0.111073\pi\)
−0.173767 + 0.984787i \(0.555594\pi\)
\(564\) −2.44991 7.73492i −0.103160 0.325699i
\(565\) 13.5100 13.5100i 0.568372 0.568372i
\(566\) 0.171205 + 0.638945i 0.00719628 + 0.0268569i
\(567\) 7.39921 + 5.12364i 0.310738 + 0.215172i
\(568\) 6.94345 12.0264i 0.291341 0.504617i
\(569\) −13.7605 + 23.8340i −0.576872 + 0.999172i 0.418963 + 0.908003i \(0.362394\pi\)
−0.995835 + 0.0911686i \(0.970940\pi\)
\(570\) 1.90964 2.08947i 0.0799860 0.0875184i
\(571\) 17.9791 + 10.3803i 0.752404 + 0.434400i 0.826562 0.562846i \(-0.190294\pi\)
−0.0741581 + 0.997247i \(0.523627\pi\)
\(572\) 0.565547 0.470251i 0.0236467 0.0196622i
\(573\) −18.3382 + 0.824639i −0.766088 + 0.0344498i
\(574\) 1.88272 + 7.02641i 0.0785833 + 0.293277i
\(575\) −6.67915 + 3.85621i −0.278540 + 0.160815i
\(576\) 2.38658 + 26.4825i 0.0994408 + 1.10344i
\(577\) −11.5116 + 11.5116i −0.479233 + 0.479233i −0.904886 0.425653i \(-0.860044\pi\)
0.425653 + 0.904886i \(0.360044\pi\)
\(578\) 4.97826 + 4.97826i 0.207069 + 0.207069i
\(579\) −10.7095 + 11.7181i −0.445073 + 0.486987i
\(580\) −4.84714 + 1.29879i −0.201266 + 0.0539292i
\(581\) 2.06496 1.19221i 0.0856691 0.0494611i
\(582\) −3.84919 1.99738i −0.159554 0.0827940i
\(583\) 0.633892 0.169851i 0.0262531 0.00703450i
\(584\) −13.2445 −0.548062
\(585\) 4.24732 + 15.9705i 0.175605 + 0.660298i
\(586\) −1.88472 −0.0778572
\(587\) 28.5542 7.65108i 1.17856 0.315794i 0.384204 0.923248i \(-0.374476\pi\)
0.794355 + 0.607454i \(0.207809\pi\)
\(588\) −0.750459 + 0.479473i −0.0309484 + 0.0197731i
\(589\) 7.91128 4.56758i 0.325979 0.188204i
\(590\) −3.81597 + 1.02249i −0.157101 + 0.0420950i
\(591\) 11.2673 + 2.48249i 0.463476 + 0.102116i
\(592\) 8.58658 + 8.58658i 0.352906 + 0.352906i
\(593\) −27.3323 + 27.3323i −1.12240 + 1.12240i −0.131023 + 0.991379i \(0.541826\pi\)
−0.991379 + 0.131023i \(0.958174\pi\)
\(594\) −1.98767 + 1.53759i −0.0815551 + 0.0630882i
\(595\) 4.43276 2.55926i 0.181725 0.104919i
\(596\) 2.62640 + 9.80188i 0.107582 + 0.401500i
\(597\) 1.19140 2.29596i 0.0487606 0.0939674i
\(598\) 2.15182 + 12.5315i 0.0879946 + 0.512451i
\(599\) −1.95166 1.12679i −0.0797425 0.0460393i 0.459599 0.888127i \(-0.347993\pi\)
−0.539341 + 0.842087i \(0.681327\pi\)
\(600\) −13.8192 3.04472i −0.564165 0.124300i
\(601\) 9.58522 16.6021i 0.390989 0.677213i −0.601591 0.798804i \(-0.705466\pi\)
0.992580 + 0.121591i \(0.0387997\pi\)
\(602\) −1.02117 + 1.76872i −0.0416198 + 0.0720876i
\(603\) 1.47972 1.77283i 0.0602587 0.0721953i
\(604\) −2.19311 8.18479i −0.0892363 0.333034i
\(605\) −11.7134 + 11.7134i −0.476217 + 0.476217i
\(606\) 12.1815 + 2.68390i 0.494839 + 0.109026i
\(607\) 17.8713 + 30.9540i 0.725373 + 1.25638i 0.958820 + 0.284013i \(0.0916660\pi\)
−0.233447 + 0.972369i \(0.575001\pi\)
\(608\) −2.48278 −0.100690
\(609\) −10.5482 + 3.34098i −0.427436 + 0.135383i
\(610\) 13.3103 7.68472i 0.538920 0.311145i
\(611\) 11.3733 30.8178i 0.460114 1.24675i
\(612\) 0.463831 + 5.14686i 0.0187492 + 0.208050i
\(613\) −15.8973 4.25968i −0.642087 0.172047i −0.0769385 0.997036i \(-0.524515\pi\)
−0.565149 + 0.824989i \(0.691181\pi\)
\(614\) 2.82230 + 1.62946i 0.113899 + 0.0657595i
\(615\) −7.27351 + 14.0169i −0.293296 + 0.565217i
\(616\) −0.314699 1.17447i −0.0126796 0.0473208i
\(617\) −9.28407 + 34.6486i −0.373763 + 1.39490i 0.481382 + 0.876511i \(0.340135\pi\)
−0.855144 + 0.518390i \(0.826532\pi\)
\(618\) 5.62197 25.5166i 0.226149 1.02643i
\(619\) 10.9462 40.8518i 0.439965 1.64197i −0.288934 0.957349i \(-0.593301\pi\)
0.728899 0.684622i \(-0.240033\pi\)
\(620\) 7.08164 + 4.08859i 0.284406 + 0.164202i
\(621\) 2.02049 + 14.8963i 0.0810796 + 0.597768i
\(622\) 4.54877 16.9762i 0.182389 0.680685i
\(623\) −5.75323 9.96489i −0.230498 0.399235i
\(624\) −9.12943 + 14.2305i −0.365470 + 0.569675i
\(625\) −2.28201 + 3.95256i −0.0912805 + 0.158103i
\(626\) −28.1512 28.1512i −1.12515 1.12515i
\(627\) −0.324684 0.508188i −0.0129666 0.0202951i
\(628\) 8.81709i 0.351840i
\(629\) 10.6258 + 10.6258i 0.423677 + 0.423677i
\(630\) 5.50455 + 0.955794i 0.219306 + 0.0380798i
\(631\) −23.7159 + 6.35466i −0.944116 + 0.252975i −0.697864 0.716231i \(-0.745866\pi\)
−0.246252 + 0.969206i \(0.579199\pi\)
\(632\) 5.94464 + 1.59286i 0.236465 + 0.0633606i
\(633\) −1.36432 30.3395i −0.0542268 1.20589i
\(634\) 13.5438i 0.537891i
\(635\) 1.04974 1.04974i 0.0416576 0.0416576i
\(636\) 1.24130 0.793077i 0.0492209 0.0314476i
\(637\) −3.59039 0.330326i −0.142256 0.0130880i
\(638\) 3.08947i 0.122313i
\(639\) 12.7620 4.68275i 0.504857 0.185247i
\(640\) 3.93064 + 6.80807i 0.155372 + 0.269113i
\(641\) 3.96009 0.156414 0.0782070 0.996937i \(-0.475080\pi\)
0.0782070 + 0.996937i \(0.475080\pi\)
\(642\) −2.61306 2.38816i −0.103129 0.0942532i
\(643\) −21.8791 5.86249i −0.862828 0.231194i −0.199844 0.979828i \(-0.564044\pi\)
−0.662984 + 0.748634i \(0.730710\pi\)
\(644\) −1.43680 0.384991i −0.0566180 0.0151708i
\(645\) −4.22676 + 1.33876i −0.166429 + 0.0527136i
\(646\) 3.58378 0.141002
\(647\) −6.77058 11.7270i −0.266179 0.461036i 0.701693 0.712480i \(-0.252428\pi\)
−0.967872 + 0.251444i \(0.919095\pi\)
\(648\) −15.7021 + 22.6759i −0.616836 + 0.890793i
\(649\) 0.841647i 0.0330375i
\(650\) −7.49087 9.00889i −0.293816 0.353358i
\(651\) 16.0038 + 8.30455i 0.627240 + 0.325481i
\(652\) −5.10158 + 5.10158i −0.199793 + 0.199793i
\(653\) 21.1087i 0.826048i −0.910720 0.413024i \(-0.864473\pi\)
0.910720 0.413024i \(-0.135527\pi\)
\(654\) 14.0889 + 7.31086i 0.550919 + 0.285877i
\(655\) 13.0936 + 3.50843i 0.511610 + 0.137086i
\(656\) −15.6058 + 4.18157i −0.609305 + 0.163263i
\(657\) −9.95362 8.30791i −0.388328 0.324122i
\(658\) −7.85285 7.85285i −0.306136 0.306136i
\(659\) 29.8416i 1.16246i −0.813738 0.581232i \(-0.802571\pi\)
0.813738 0.581232i \(-0.197429\pi\)
\(660\) 0.248633 0.479145i 0.00967803 0.0186507i
\(661\) −14.6111 14.6111i −0.568307 0.568307i 0.363347 0.931654i \(-0.381634\pi\)
−0.931654 + 0.363347i \(0.881634\pi\)
\(662\) 8.16506 14.1423i 0.317344 0.549656i
\(663\) −11.2975 + 17.6100i −0.438760 + 0.683916i
\(664\) 3.65368 + 6.32836i 0.141790 + 0.245588i
\(665\) −0.347006 + 1.29504i −0.0134563 + 0.0502196i
\(666\) 1.47219 + 16.3360i 0.0570462 + 0.633009i
\(667\) −16.0053 9.24067i −0.619728 0.357800i
\(668\) 1.08498 4.04920i 0.0419791 0.156668i
\(669\) 28.7738 9.11363i 1.11246 0.352353i
\(670\) 0.371014 1.38464i 0.0143335 0.0534935i
\(671\) −0.847469 3.16280i −0.0327162 0.122098i
\(672\) −2.63832 4.12943i −0.101775 0.159296i
\(673\) −24.7925 14.3140i −0.955680 0.551762i −0.0608396 0.998148i \(-0.519378\pi\)
−0.894841 + 0.446385i \(0.852711\pi\)
\(674\) 39.3629 + 10.5473i 1.51620 + 0.406266i
\(675\) −8.47561 10.9566i −0.326226 0.421718i
\(676\) 6.30121 2.22975i 0.242354 0.0857595i
\(677\) 12.7675 7.37129i 0.490693 0.283302i −0.234169 0.972196i \(-0.575237\pi\)
0.724862 + 0.688894i \(0.241904\pi\)
\(678\) 19.4896 + 17.8122i 0.748494 + 0.684074i
\(679\) 2.05399 0.0788250
\(680\) 7.84319 + 13.5848i 0.300773 + 0.520953i
\(681\) −33.4287 + 36.5768i −1.28099 + 1.40163i
\(682\) −3.55984 + 3.55984i −0.136313 + 0.136313i
\(683\) 2.25602 + 8.41960i 0.0863244 + 0.322167i 0.995562 0.0941112i \(-0.0300009\pi\)
−0.909237 + 0.416278i \(0.863334\pi\)
\(684\) −1.03920 0.867379i −0.0397347 0.0331651i
\(685\) −11.5074 + 19.9314i −0.439674 + 0.761538i
\(686\) −0.609475 + 1.05564i −0.0232699 + 0.0403046i
\(687\) −11.7998 37.2547i −0.450192 1.42136i
\(688\) −3.92837 2.26804i −0.149768 0.0864684i
\(689\) 5.93872 + 0.546379i 0.226247 + 0.0208154i
\(690\) 5.02425 + 7.86383i 0.191270 + 0.299371i
\(691\) −4.92425 18.3775i −0.187327 0.699114i −0.994120 0.108280i \(-0.965466\pi\)
0.806793 0.590834i \(-0.201201\pi\)
\(692\) −6.49984 + 3.75268i −0.247087 + 0.142656i
\(693\) 0.500208 1.08005i 0.0190013 0.0410277i
\(694\) −11.4654 + 11.4654i −0.435221 + 0.435221i
\(695\) 1.25322 + 1.25322i 0.0475374 + 0.0475374i
\(696\) −10.2389 32.3265i −0.388104 1.22533i
\(697\) −19.3120 + 5.17463i −0.731493 + 0.196003i
\(698\) 0.704329 0.406644i 0.0266592 0.0153917i
\(699\) 0.285635 + 6.35189i 0.0108037 + 0.240251i
\(700\) 1.32397 0.354756i 0.0500413 0.0134085i
\(701\) 32.6015 1.23134 0.615670 0.788004i \(-0.288885\pi\)
0.615670 + 0.788004i \(0.288885\pi\)
\(702\) −21.7839 + 6.85496i −0.822181 + 0.258724i
\(703\) −3.93615 −0.148455
\(704\) 3.39670 0.910144i 0.128018 0.0343024i
\(705\) −1.08306 24.0848i −0.0407902 0.907086i
\(706\) 23.7733 13.7255i 0.894718 0.516566i
\(707\) −5.70677 + 1.52912i −0.214625 + 0.0575087i
\(708\) 0.570433 + 1.80098i 0.0214382 + 0.0676851i
\(709\) −30.1693 30.1693i −1.13303 1.13303i −0.989670 0.143363i \(-0.954208\pi\)
−0.143363 0.989670i \(-0.545792\pi\)
\(710\) 5.96708 5.96708i 0.223940 0.223940i
\(711\) 3.46840 + 4.92598i 0.130075 + 0.184739i
\(712\) 30.5388 17.6316i 1.14449 0.660771i
\(713\) 7.79456 + 29.0897i 0.291909 + 1.08942i
\(714\) 3.80829 + 5.96064i 0.142522 + 0.223072i
\(715\) 1.98488 0.914764i 0.0742302 0.0342103i
\(716\) −2.48434 1.43434i −0.0928443 0.0536037i
\(717\) −5.72057 18.0611i −0.213639 0.674505i
\(718\) −5.91682 + 10.2482i −0.220814 + 0.382461i
\(719\) −15.8407 + 27.4368i −0.590757 + 1.02322i 0.403374 + 0.915035i \(0.367838\pi\)
−0.994131 + 0.108186i \(0.965496\pi\)
\(720\) −2.12284 + 12.2257i −0.0791137 + 0.455626i
\(721\) 3.20307 + 11.9540i 0.119288 + 0.445190i
\(722\) 15.7129 15.7129i 0.584772 0.584772i
\(723\) 18.2137 19.9289i 0.677374 0.741163i
\(724\) −6.35344 11.0045i −0.236124 0.408978i
\(725\) 17.0300 0.632477
\(726\) −16.8978 15.4434i −0.627135 0.573159i
\(727\) 38.2162 22.0642i 1.41736 0.818314i 0.421295 0.906924i \(-0.361576\pi\)
0.996066 + 0.0886094i \(0.0282423\pi\)
\(728\) 1.01233 11.0032i 0.0375194 0.407807i
\(729\) −26.0245 + 7.19209i −0.963870 + 0.266374i
\(730\) −7.77413 2.08307i −0.287733 0.0770979i
\(731\) −4.86130 2.80667i −0.179802 0.103808i
\(732\) −3.95705 6.19348i −0.146257 0.228918i
\(733\) −8.62665 32.1951i −0.318633 1.18915i −0.920560 0.390602i \(-0.872267\pi\)
0.601927 0.798551i \(-0.294400\pi\)
\(734\) −9.17730 + 34.2502i −0.338740 + 1.26420i
\(735\) −2.52270 + 0.799025i −0.0930512 + 0.0294725i
\(736\) 2.11843 7.90607i 0.0780862 0.291422i
\(737\) −0.264481 0.152698i −0.00974228 0.00562471i
\(738\) −19.8022 9.17107i −0.728929 0.337592i
\(739\) 11.3499 42.3584i 0.417513 1.55818i −0.362235 0.932087i \(-0.617986\pi\)
0.779748 0.626094i \(-0.215347\pi\)
\(740\) −1.76169 3.05134i −0.0647610 0.112169i
\(741\) −1.16918 5.35418i −0.0429509 0.196691i
\(742\) 1.00811 1.74610i 0.0370088 0.0641012i
\(743\) −21.4967 21.4967i −0.788637 0.788637i 0.192634 0.981271i \(-0.438297\pi\)
−0.981271 + 0.192634i \(0.938297\pi\)
\(744\) −25.4504 + 49.0459i −0.933057 + 1.79811i
\(745\) 30.1531i 1.10472i
\(746\) 20.4067 + 20.4067i 0.747143 + 0.747143i
\(747\) −1.22376 + 7.04779i −0.0447750 + 0.257865i
\(748\) 0.660148 0.176886i 0.0241374 0.00646760i
\(749\) 1.61956 + 0.433959i 0.0591774 + 0.0158565i
\(750\) −21.9480 11.3890i −0.801427 0.415868i
\(751\) 7.69614i 0.280836i 0.990092 + 0.140418i \(0.0448447\pi\)
−0.990092 + 0.140418i \(0.955155\pi\)
\(752\) 17.4414 17.4414i 0.636021 0.636021i
\(753\) −0.979225 0.508129i −0.0356849 0.0185173i
\(754\) 9.72062 26.3396i 0.354004 0.959231i
\(755\) 25.1785i 0.916339i
\(756\) 0.338349 2.65014i 0.0123056 0.0963848i
\(757\) 25.6208 + 44.3765i 0.931202 + 1.61289i 0.781270 + 0.624194i \(0.214572\pi\)
0.149933 + 0.988696i \(0.452094\pi\)
\(758\) −34.8907 −1.26729
\(759\) 1.89529 0.600304i 0.0687947 0.0217896i
\(760\) −3.96884 1.06345i −0.143965 0.0385753i
\(761\) −14.5512 3.89899i −0.527482 0.141338i −0.0147565 0.999891i \(-0.504697\pi\)
−0.512725 + 0.858553i \(0.671364\pi\)
\(762\) 1.51435 + 1.38402i 0.0548593 + 0.0501377i
\(763\) −7.51807 −0.272173
\(764\) 2.72460 + 4.71915i 0.0985726 + 0.170733i
\(765\) −2.62698 + 15.1292i −0.0949788 + 0.546996i
\(766\) 37.7800i 1.36505i
\(767\) −2.64813 + 7.17554i −0.0956185 + 0.259094i
\(768\) 16.7187 10.6817i 0.603283 0.385441i
\(769\) 0.266263 0.266263i 0.00960168 0.00960168i −0.702290 0.711891i \(-0.747839\pi\)
0.711891 + 0.702290i \(0.247839\pi\)
\(770\) 0.738874i 0.0266272i
\(771\) −1.84006 40.9190i −0.0662683 1.47366i
\(772\) 4.55186 + 1.21967i 0.163825 + 0.0438968i
\(773\) −26.8160 + 7.18532i −0.964503 + 0.258438i −0.706505 0.707708i \(-0.749729\pi\)
−0.257998 + 0.966145i \(0.583063\pi\)
\(774\) −2.11058 5.75203