Properties

Label 483.2.y.b.340.10
Level $483$
Weight $2$
Character 483.340
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 340.10
Character \(\chi\) \(=\) 483.340
Dual form 483.2.y.b.331.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.212023 + 0.873970i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(1.05880 - 0.545850i) q^{4} +(-3.10343 + 1.24243i) q^{5} +(0.756557 - 0.486209i) q^{6} +(-2.28739 - 1.32961i) q^{7} +(1.87941 + 2.16895i) q^{8} +(-0.786053 + 0.618159i) q^{9} +O(q^{10})\) \(q+(0.212023 + 0.873970i) q^{2} +(-0.327068 - 0.945001i) q^{3} +(1.05880 - 0.545850i) q^{4} +(-3.10343 + 1.24243i) q^{5} +(0.756557 - 0.486209i) q^{6} +(-2.28739 - 1.32961i) q^{7} +(1.87941 + 2.16895i) q^{8} +(-0.786053 + 0.618159i) q^{9} +(-1.74384 - 2.44888i) q^{10} +(-0.745498 + 3.07298i) q^{11} +(-0.862128 - 0.822038i) q^{12} +(-1.43075 + 3.13290i) q^{13} +(0.677063 - 2.28102i) q^{14} +(2.18912 + 2.52638i) q^{15} +(-0.115167 + 0.161730i) q^{16} +(0.290648 + 6.10144i) q^{17} +(-0.706914 - 0.555923i) q^{18} +(-0.0594907 + 1.24886i) q^{19} +(-2.60773 + 3.00949i) q^{20} +(-0.508353 + 2.59645i) q^{21} -2.84376 q^{22} +(-4.76475 - 0.545102i) q^{23} +(1.43497 - 2.48543i) q^{24} +(4.46897 - 4.26116i) q^{25} +(-3.04141 - 0.586185i) q^{26} +(0.841254 + 0.540641i) q^{27} +(-3.14765 - 0.159225i) q^{28} +(5.94407 - 3.82002i) q^{29} +(-1.74384 + 2.44888i) q^{30} +(-9.45636 + 1.82256i) q^{31} +(5.16294 + 2.06693i) q^{32} +(3.14780 - 0.300579i) q^{33} +(-5.27086 + 1.54766i) q^{34} +(8.75068 + 1.28445i) q^{35} +(-0.494852 + 1.08357i) q^{36} +(5.18345 - 4.07631i) q^{37} +(-1.10408 + 0.212795i) q^{38} +(3.42855 + 0.327387i) q^{39} +(-8.52736 - 4.39616i) q^{40} +(-0.438978 + 3.05316i) q^{41} +(-2.37701 + 0.106222i) q^{42} +(-3.34758 + 3.86332i) q^{43} +(0.888054 + 3.66061i) q^{44} +(1.67144 - 2.89502i) q^{45} +(-0.533834 - 4.27983i) q^{46} +(0.523563 + 0.906838i) q^{47} +(0.190502 + 0.0559364i) q^{48} +(3.46427 + 6.08267i) q^{49} +(4.67165 + 3.00229i) q^{50} +(5.67081 - 2.27025i) q^{51} +(0.195216 + 4.09809i) q^{52} +(-13.9059 - 1.32785i) q^{53} +(-0.294139 + 0.849859i) q^{54} +(-1.50435 - 10.4630i) q^{55} +(-1.41507 - 7.46010i) q^{56} +(1.19963 - 0.352245i) q^{57} +(4.59887 + 4.38501i) q^{58} +(-6.84059 - 9.60626i) q^{59} +(3.69687 + 1.48000i) q^{60} +(4.24139 - 12.2547i) q^{61} +(-3.59783 - 7.87815i) q^{62} +(2.61992 - 0.368823i) q^{63} +(-0.768285 + 5.34354i) q^{64} +(0.547828 - 11.5003i) q^{65} +(0.930102 + 2.68735i) q^{66} +(-5.08668 + 4.85014i) q^{67} +(3.63821 + 6.30156i) q^{68} +(1.04328 + 4.68098i) q^{69} +(0.732775 + 7.92016i) q^{70} +(0.228908 + 0.0672134i) q^{71} +(-2.81807 - 0.543138i) q^{72} +(8.90587 - 4.59129i) q^{73} +(4.66158 + 3.66591i) q^{74} +(-5.48846 - 2.82950i) q^{75} +(0.618703 + 1.35477i) q^{76} +(5.79112 - 6.03788i) q^{77} +(0.440804 + 3.06586i) q^{78} +(6.53045 - 0.623582i) q^{79} +(0.156476 - 0.645002i) q^{80} +(0.235759 - 0.971812i) q^{81} +(-2.76144 + 0.263686i) q^{82} +(1.21498 + 8.45038i) q^{83} +(0.879029 + 3.02661i) q^{84} +(-8.48259 - 18.5743i) q^{85} +(-4.08619 - 2.10658i) q^{86} +(-5.55404 - 4.36775i) q^{87} +(-8.06624 + 4.15844i) q^{88} +(-1.22855 - 0.236783i) q^{89} +(2.88455 + 0.846980i) q^{90} +(7.43822 - 5.26382i) q^{91} +(-5.34247 + 2.02368i) q^{92} +(4.81520 + 8.34017i) q^{93} +(-0.681542 + 0.649849i) q^{94} +(-1.36699 - 3.94967i) q^{95} +(0.264618 - 5.55501i) q^{96} +(-1.14689 + 7.97680i) q^{97} +(-4.58157 + 4.31733i) q^{98} +(-1.31359 - 2.87636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{6}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.212023 + 0.873970i 0.149923 + 0.617990i 0.996341 + 0.0854709i \(0.0272395\pi\)
−0.846418 + 0.532519i \(0.821245\pi\)
\(3\) −0.327068 0.945001i −0.188833 0.545596i
\(4\) 1.05880 0.545850i 0.529400 0.272925i
\(5\) −3.10343 + 1.24243i −1.38790 + 0.555629i −0.940832 0.338873i \(-0.889954\pi\)
−0.447063 + 0.894502i \(0.647530\pi\)
\(6\) 0.756557 0.486209i 0.308863 0.198494i
\(7\) −2.28739 1.32961i −0.864551 0.502546i
\(8\) 1.87941 + 2.16895i 0.664470 + 0.766840i
\(9\) −0.786053 + 0.618159i −0.262018 + 0.206053i
\(10\) −1.74384 2.44888i −0.551451 0.774404i
\(11\) −0.745498 + 3.07298i −0.224776 + 0.926539i 0.741895 + 0.670516i \(0.233927\pi\)
−0.966671 + 0.256023i \(0.917588\pi\)
\(12\) −0.862128 0.822038i −0.248875 0.237302i
\(13\) −1.43075 + 3.13290i −0.396818 + 0.868911i 0.600765 + 0.799426i \(0.294863\pi\)
−0.997583 + 0.0694849i \(0.977864\pi\)
\(14\) 0.677063 2.28102i 0.180953 0.609627i
\(15\) 2.18912 + 2.52638i 0.565230 + 0.652310i
\(16\) −0.115167 + 0.161730i −0.0287918 + 0.0404324i
\(17\) 0.290648 + 6.10144i 0.0704924 + 1.47982i 0.706269 + 0.707944i \(0.250377\pi\)
−0.635776 + 0.771873i \(0.719320\pi\)
\(18\) −0.706914 0.555923i −0.166621 0.131032i
\(19\) −0.0594907 + 1.24886i −0.0136481 + 0.286509i 0.981717 + 0.190345i \(0.0609605\pi\)
−0.995365 + 0.0961645i \(0.969343\pi\)
\(20\) −2.60773 + 3.00949i −0.583107 + 0.672941i
\(21\) −0.508353 + 2.59645i −0.110932 + 0.566593i
\(22\) −2.84376 −0.606291
\(23\) −4.76475 0.545102i −0.993520 0.113662i
\(24\) 1.43497 2.48543i 0.292911 0.507337i
\(25\) 4.46897 4.26116i 0.893795 0.852232i
\(26\) −3.04141 0.586185i −0.596470 0.114960i
\(27\) 0.841254 + 0.540641i 0.161899 + 0.104046i
\(28\) −3.14765 0.159225i −0.594851 0.0300906i
\(29\) 5.94407 3.82002i 1.10379 0.709361i 0.143856 0.989599i \(-0.454050\pi\)
0.959931 + 0.280238i \(0.0904134\pi\)
\(30\) −1.74384 + 2.44888i −0.318380 + 0.447102i
\(31\) −9.45636 + 1.82256i −1.69841 + 0.327342i −0.944221 0.329313i \(-0.893183\pi\)
−0.754191 + 0.656655i \(0.771971\pi\)
\(32\) 5.16294 + 2.06693i 0.912688 + 0.365385i
\(33\) 3.14780 0.300579i 0.547962 0.0523240i
\(34\) −5.27086 + 1.54766i −0.903944 + 0.265422i
\(35\) 8.75068 + 1.28445i 1.47913 + 0.217111i
\(36\) −0.494852 + 1.08357i −0.0824753 + 0.180596i
\(37\) 5.18345 4.07631i 0.852153 0.670141i −0.0933928 0.995629i \(-0.529771\pi\)
0.945546 + 0.325489i \(0.105529\pi\)
\(38\) −1.10408 + 0.212795i −0.179106 + 0.0345198i
\(39\) 3.42855 + 0.327387i 0.549007 + 0.0524238i
\(40\) −8.52736 4.39616i −1.34829 0.695094i
\(41\) −0.438978 + 3.05316i −0.0685568 + 0.476823i 0.926402 + 0.376537i \(0.122885\pi\)
−0.994959 + 0.100287i \(0.968024\pi\)
\(42\) −2.37701 + 0.106222i −0.366780 + 0.0163904i
\(43\) −3.34758 + 3.86332i −0.510502 + 0.589150i −0.951227 0.308492i \(-0.900176\pi\)
0.440725 + 0.897642i \(0.354721\pi\)
\(44\) 0.888054 + 3.66061i 0.133879 + 0.551857i
\(45\) 1.67144 2.89502i 0.249164 0.431565i
\(46\) −0.533834 4.27983i −0.0787095 0.631026i
\(47\) 0.523563 + 0.906838i 0.0763695 + 0.132276i 0.901681 0.432402i \(-0.142334\pi\)
−0.825312 + 0.564678i \(0.809000\pi\)
\(48\) 0.190502 + 0.0559364i 0.0274966 + 0.00807373i
\(49\) 3.46427 + 6.08267i 0.494895 + 0.868953i
\(50\) 4.67165 + 3.00229i 0.660671 + 0.424587i
\(51\) 5.67081 2.27025i 0.794072 0.317898i
\(52\) 0.195216 + 4.09809i 0.0270716 + 0.568303i
\(53\) −13.9059 1.32785i −1.91012 0.182394i −0.928248 0.371962i \(-0.878685\pi\)
−0.981868 + 0.189568i \(0.939291\pi\)
\(54\) −0.294139 + 0.849859i −0.0400272 + 0.115651i
\(55\) −1.50435 10.4630i −0.202847 1.41083i
\(56\) −1.41507 7.46010i −0.189096 0.996898i
\(57\) 1.19963 0.352245i 0.158895 0.0466559i
\(58\) 4.59887 + 4.38501i 0.603861 + 0.575780i
\(59\) −6.84059 9.60626i −0.890569 1.25063i −0.967315 0.253578i \(-0.918392\pi\)
0.0767458 0.997051i \(-0.475547\pi\)
\(60\) 3.69687 + 1.48000i 0.477264 + 0.191068i
\(61\) 4.24139 12.2547i 0.543055 1.56905i −0.255297 0.966863i \(-0.582173\pi\)
0.798352 0.602191i \(-0.205706\pi\)
\(62\) −3.59783 7.87815i −0.456925 1.00053i
\(63\) 2.61992 0.368823i 0.330079 0.0464673i
\(64\) −0.768285 + 5.34354i −0.0960356 + 0.667943i
\(65\) 0.547828 11.5003i 0.0679498 1.42644i
\(66\) 0.930102 + 2.68735i 0.114488 + 0.330790i
\(67\) −5.08668 + 4.85014i −0.621437 + 0.592539i −0.933963 0.357370i \(-0.883673\pi\)
0.312526 + 0.949909i \(0.398825\pi\)
\(68\) 3.63821 + 6.30156i 0.441198 + 0.764177i
\(69\) 1.04328 + 4.68098i 0.125596 + 0.563524i
\(70\) 0.732775 + 7.92016i 0.0875834 + 0.946641i
\(71\) 0.228908 + 0.0672134i 0.0271664 + 0.00797676i 0.295288 0.955408i \(-0.404585\pi\)
−0.268121 + 0.963385i \(0.586403\pi\)
\(72\) −2.81807 0.543138i −0.332113 0.0640095i
\(73\) 8.90587 4.59129i 1.04235 0.537370i 0.149989 0.988688i \(-0.452076\pi\)
0.892363 + 0.451317i \(0.149046\pi\)
\(74\) 4.66158 + 3.66591i 0.541898 + 0.426153i
\(75\) −5.48846 2.82950i −0.633752 0.326722i
\(76\) 0.618703 + 1.35477i 0.0709701 + 0.155403i
\(77\) 5.79112 6.03788i 0.659959 0.688080i
\(78\) 0.440804 + 3.06586i 0.0499113 + 0.347140i
\(79\) 6.53045 0.623582i 0.734733 0.0701585i 0.279020 0.960285i \(-0.409990\pi\)
0.455713 + 0.890127i \(0.349384\pi\)
\(80\) 0.156476 0.645002i 0.0174945 0.0721135i
\(81\) 0.235759 0.971812i 0.0261954 0.107979i
\(82\) −2.76144 + 0.263686i −0.304950 + 0.0291192i
\(83\) 1.21498 + 8.45038i 0.133362 + 0.927550i 0.941129 + 0.338048i \(0.109767\pi\)
−0.807767 + 0.589502i \(0.799324\pi\)
\(84\) 0.879029 + 3.02661i 0.0959100 + 0.330230i
\(85\) −8.48259 18.5743i −0.920066 2.01466i
\(86\) −4.08619 2.10658i −0.440625 0.227158i
\(87\) −5.55404 4.36775i −0.595456 0.468272i
\(88\) −8.06624 + 4.15844i −0.859864 + 0.443291i
\(89\) −1.22855 0.236783i −0.130226 0.0250989i 0.123722 0.992317i \(-0.460517\pi\)
−0.253948 + 0.967218i \(0.581729\pi\)
\(90\) 2.88455 + 0.846980i 0.304058 + 0.0892795i
\(91\) 7.43822 5.26382i 0.779737 0.551798i
\(92\) −5.34247 + 2.02368i −0.556991 + 0.210984i
\(93\) 4.81520 + 8.34017i 0.499313 + 0.864835i
\(94\) −0.681542 + 0.649849i −0.0702957 + 0.0670268i
\(95\) −1.36699 3.94967i −0.140251 0.405228i
\(96\) 0.264618 5.55501i 0.0270074 0.566956i
\(97\) −1.14689 + 7.97680i −0.116449 + 0.809921i 0.844966 + 0.534820i \(0.179620\pi\)
−0.961415 + 0.275101i \(0.911289\pi\)
\(98\) −4.58157 + 4.31733i −0.462808 + 0.436116i
\(99\) −1.31359 2.87636i −0.132021 0.289086i
\(100\) 2.40580 6.95110i 0.240580 0.695110i
\(101\) 13.3850 + 5.35855i 1.33186 + 0.533196i 0.924886 0.380245i \(-0.124160\pi\)
0.406972 + 0.913440i \(0.366585\pi\)
\(102\) 3.18647 + 4.47477i 0.315508 + 0.443068i
\(103\) −2.53143 2.41372i −0.249429 0.237830i 0.555041 0.831823i \(-0.312702\pi\)
−0.804471 + 0.593992i \(0.797551\pi\)
\(104\) −9.48407 + 2.78477i −0.929989 + 0.273069i
\(105\) −1.64826 8.68950i −0.160854 0.848008i
\(106\) −1.78786 12.4348i −0.173652 1.20778i
\(107\) −3.69193 + 10.6671i −0.356913 + 1.03123i 0.613482 + 0.789708i \(0.289768\pi\)
−0.970395 + 0.241523i \(0.922353\pi\)
\(108\) 1.18583 + 0.113233i 0.114106 + 0.0108958i
\(109\) 0.570166 + 11.9693i 0.0546120 + 1.14645i 0.845323 + 0.534256i \(0.179408\pi\)
−0.790711 + 0.612190i \(0.790289\pi\)
\(110\) 8.82540 3.53316i 0.841469 0.336873i
\(111\) −5.54745 3.56513i −0.526541 0.338387i
\(112\) 0.478469 0.216810i 0.0452111 0.0204867i
\(113\) 10.2129 + 2.99877i 0.960746 + 0.282100i 0.724254 0.689533i \(-0.242184\pi\)
0.236492 + 0.971634i \(0.424002\pi\)
\(114\) 0.562201 + 0.973761i 0.0526550 + 0.0912011i
\(115\) 15.4643 4.22816i 1.44205 0.394278i
\(116\) 4.20843 7.28921i 0.390743 0.676786i
\(117\) −0.811987 3.34706i −0.0750683 0.309436i
\(118\) 6.94523 8.01522i 0.639360 0.737861i
\(119\) 7.44772 14.3428i 0.682732 1.31480i
\(120\) −1.36535 + 9.49620i −0.124639 + 0.866881i
\(121\) 0.889728 + 0.458686i 0.0808843 + 0.0416988i
\(122\) 11.6095 + 1.10857i 1.05108 + 0.100366i
\(123\) 3.02881 0.583756i 0.273099 0.0526355i
\(124\) −9.01755 + 7.09148i −0.809800 + 0.636834i
\(125\) −1.63154 + 3.57258i −0.145930 + 0.319541i
\(126\) 0.877823 + 2.21153i 0.0782027 + 0.197019i
\(127\) 14.2278 4.17765i 1.26251 0.370707i 0.419083 0.907948i \(-0.362352\pi\)
0.843429 + 0.537241i \(0.180534\pi\)
\(128\) 6.23927 0.595778i 0.551478 0.0526598i
\(129\) 4.74572 + 1.89990i 0.417838 + 0.167277i
\(130\) 10.1671 1.95955i 0.891714 0.171864i
\(131\) 5.08070 7.13484i 0.443903 0.623374i −0.530634 0.847601i \(-0.678046\pi\)
0.974537 + 0.224227i \(0.0719856\pi\)
\(132\) 3.16882 2.03648i 0.275811 0.177253i
\(133\) 1.79658 2.77753i 0.155783 0.240843i
\(134\) −5.31737 3.41727i −0.459351 0.295207i
\(135\) −3.28248 0.632645i −0.282510 0.0544494i
\(136\) −12.6875 + 12.0975i −1.08794 + 1.03735i
\(137\) −10.3427 + 17.9141i −0.883638 + 1.53051i −0.0363714 + 0.999338i \(0.511580\pi\)
−0.847267 + 0.531168i \(0.821753\pi\)
\(138\) −3.86984 + 1.90427i −0.329423 + 0.162102i
\(139\) −11.6002 −0.983917 −0.491958 0.870619i \(-0.663719\pi\)
−0.491958 + 0.870619i \(0.663719\pi\)
\(140\) 9.96634 3.41658i 0.842309 0.288754i
\(141\) 0.685722 0.791365i 0.0577482 0.0666449i
\(142\) −0.0102088 + 0.214309i −0.000856705 + 0.0179844i
\(143\) −8.56074 6.73224i −0.715885 0.562978i
\(144\) −0.00944712 0.198320i −0.000787260 0.0165266i
\(145\) −13.7009 + 19.2402i −1.13780 + 1.59781i
\(146\) 5.90090 + 6.81000i 0.488362 + 0.563600i
\(147\) 4.61508 5.26318i 0.380645 0.434100i
\(148\) 3.26318 7.14538i 0.268232 0.587346i
\(149\) −5.08297 4.84661i −0.416413 0.397049i 0.452699 0.891663i \(-0.350461\pi\)
−0.869113 + 0.494614i \(0.835310\pi\)
\(150\) 1.30922 5.39666i 0.106897 0.440636i
\(151\) 5.87976 + 8.25697i 0.478488 + 0.671943i 0.981307 0.192449i \(-0.0616430\pi\)
−0.502819 + 0.864392i \(0.667704\pi\)
\(152\) −2.82053 + 2.21809i −0.228775 + 0.179911i
\(153\) −4.00013 4.61639i −0.323391 0.373213i
\(154\) 6.50477 + 3.78109i 0.524170 + 0.304689i
\(155\) 27.0827 17.4050i 2.17534 1.39800i
\(156\) 3.80885 1.52483i 0.304952 0.122084i
\(157\) 12.4830 6.43543i 0.996251 0.513603i 0.118620 0.992940i \(-0.462153\pi\)
0.877631 + 0.479337i \(0.159123\pi\)
\(158\) 1.92960 + 5.57520i 0.153510 + 0.443539i
\(159\) 3.29334 + 13.5753i 0.261179 + 1.07659i
\(160\) −18.5908 −1.46973
\(161\) 10.1741 + 7.58213i 0.801828 + 0.597555i
\(162\) 0.899321 0.0706573
\(163\) −1.03868 4.28149i −0.0813556 0.335352i 0.916559 0.399899i \(-0.130955\pi\)
−0.997915 + 0.0645470i \(0.979440\pi\)
\(164\) 1.20178 + 3.47230i 0.0938429 + 0.271141i
\(165\) −9.39553 + 4.84373i −0.731441 + 0.377084i
\(166\) −7.12778 + 2.85353i −0.553223 + 0.221477i
\(167\) −4.49410 + 2.88818i −0.347764 + 0.223494i −0.702848 0.711340i \(-0.748089\pi\)
0.355084 + 0.934834i \(0.384452\pi\)
\(168\) −6.58698 + 3.77720i −0.508197 + 0.291417i
\(169\) 0.745154 + 0.859954i 0.0573195 + 0.0661503i
\(170\) 14.4349 11.3517i 1.10710 0.870636i
\(171\) −0.725233 1.01845i −0.0554600 0.0778827i
\(172\) −1.43563 + 5.91776i −0.109466 + 0.451225i
\(173\) 4.28385 + 4.08465i 0.325695 + 0.310550i 0.835231 0.549900i \(-0.185334\pi\)
−0.509535 + 0.860450i \(0.670183\pi\)
\(174\) 2.63970 5.78013i 0.200115 0.438190i
\(175\) −15.8880 + 3.80491i −1.20102 + 0.287624i
\(176\) −0.411135 0.474476i −0.0309905 0.0357649i
\(177\) −6.84059 + 9.60626i −0.514170 + 0.722051i
\(178\) −0.0535388 1.12392i −0.00401290 0.0842411i
\(179\) 1.54167 + 1.21238i 0.115230 + 0.0906178i 0.674111 0.738630i \(-0.264527\pi\)
−0.558881 + 0.829248i \(0.688769\pi\)
\(180\) 0.189477 3.97761i 0.0141228 0.296474i
\(181\) 5.19151 5.99132i 0.385882 0.445332i −0.529262 0.848458i \(-0.677531\pi\)
0.915144 + 0.403127i \(0.132077\pi\)
\(182\) 6.17749 + 5.38473i 0.457906 + 0.399143i
\(183\) −12.9679 −0.958617
\(184\) −7.77260 11.3590i −0.573004 0.837395i
\(185\) −11.0219 + 19.0906i −0.810349 + 1.40357i
\(186\) −6.26812 + 5.97664i −0.459601 + 0.438229i
\(187\) −18.9663 3.65546i −1.38695 0.267314i
\(188\) 1.04935 + 0.674374i 0.0765314 + 0.0491837i
\(189\) −1.20543 2.35519i −0.0876821 0.171315i
\(190\) 3.16206 2.03213i 0.229400 0.147426i
\(191\) −2.48423 + 3.48862i −0.179753 + 0.252427i −0.894615 0.446838i \(-0.852550\pi\)
0.714862 + 0.699265i \(0.246489\pi\)
\(192\) 5.30093 1.02167i 0.382562 0.0737327i
\(193\) −3.94734 1.58028i −0.284136 0.113751i 0.225217 0.974309i \(-0.427691\pi\)
−0.509353 + 0.860558i \(0.670115\pi\)
\(194\) −7.21465 + 0.688915i −0.517982 + 0.0494612i
\(195\) −11.0470 + 3.24369i −0.791092 + 0.232286i
\(196\) 6.98819 + 4.54936i 0.499157 + 0.324955i
\(197\) −0.169590 + 0.371351i −0.0120828 + 0.0264577i −0.915577 0.402142i \(-0.868266\pi\)
0.903494 + 0.428600i \(0.140993\pi\)
\(198\) 2.23535 1.75790i 0.158859 0.124928i
\(199\) 3.61542 0.696814i 0.256290 0.0493959i −0.0594877 0.998229i \(-0.518947\pi\)
0.315778 + 0.948833i \(0.397735\pi\)
\(200\) 17.6413 + 1.68454i 1.24743 + 0.119115i
\(201\) 6.24708 + 3.22059i 0.440635 + 0.227163i
\(202\) −1.84528 + 12.8342i −0.129834 + 0.903014i
\(203\) −18.6755 + 0.834561i −1.31077 + 0.0585747i
\(204\) 4.76504 5.49915i 0.333620 0.385017i
\(205\) −2.43098 10.0207i −0.169787 0.699873i
\(206\) 1.57279 2.72416i 0.109582 0.189801i
\(207\) 4.08231 2.51690i 0.283740 0.174936i
\(208\) −0.341908 0.592201i −0.0237070 0.0410618i
\(209\) −3.79339 1.11384i −0.262394 0.0770459i
\(210\) 7.24489 3.28291i 0.499945 0.226542i
\(211\) −21.3045 13.6916i −1.46666 0.942568i −0.998255 0.0590564i \(-0.981191\pi\)
−0.468410 0.883511i \(-0.655173\pi\)
\(212\) −15.4483 + 6.18458i −1.06100 + 0.424759i
\(213\) −0.0113517 0.238301i −0.000777806 0.0163281i
\(214\) −10.1055 0.964962i −0.690800 0.0659634i
\(215\) 5.58910 16.1486i 0.381173 1.10133i
\(216\) 0.408434 + 2.84072i 0.0277904 + 0.193287i
\(217\) 24.0536 + 8.40438i 1.63287 + 0.570526i
\(218\) −10.3399 + 3.03606i −0.700305 + 0.205628i
\(219\) −7.25160 6.91439i −0.490018 0.467231i
\(220\) −7.30404 10.2571i −0.492438 0.691533i
\(221\) −19.5311 7.81906i −1.31380 0.525967i
\(222\) 1.93963 5.60420i 0.130180 0.376129i
\(223\) 10.2315 + 22.4039i 0.685152 + 1.50027i 0.857090 + 0.515167i \(0.172270\pi\)
−0.171938 + 0.985108i \(0.555003\pi\)
\(224\) −9.06142 11.5926i −0.605442 0.774561i
\(225\) −0.878778 + 6.11203i −0.0585852 + 0.407469i
\(226\) −0.455473 + 9.56155i −0.0302976 + 0.636025i
\(227\) −3.17180 9.16431i −0.210520 0.608256i 0.789465 0.613795i \(-0.210358\pi\)
−0.999985 + 0.00553914i \(0.998237\pi\)
\(228\) 1.07790 1.02778i 0.0713858 0.0680662i
\(229\) 1.58484 + 2.74502i 0.104729 + 0.181396i 0.913627 0.406552i \(-0.133269\pi\)
−0.808898 + 0.587948i \(0.799936\pi\)
\(230\) 6.97408 + 12.6189i 0.459857 + 0.832064i
\(231\) −7.59989 3.49781i −0.500036 0.230139i
\(232\) 19.4568 + 5.71302i 1.27740 + 0.375078i
\(233\) −23.4211 4.51404i −1.53437 0.295725i −0.649061 0.760736i \(-0.724838\pi\)
−0.885304 + 0.465012i \(0.846050\pi\)
\(234\) 2.75307 1.41931i 0.179974 0.0927829i
\(235\) −2.75152 2.16382i −0.179489 0.141152i
\(236\) −12.4864 6.43719i −0.812795 0.419025i
\(237\) −2.72519 5.96732i −0.177020 0.387619i
\(238\) 14.1143 + 3.46809i 0.914892 + 0.224803i
\(239\) 2.02858 + 14.1091i 0.131218 + 0.912641i 0.943970 + 0.330031i \(0.107059\pi\)
−0.812752 + 0.582610i \(0.802032\pi\)
\(240\) −0.660706 + 0.0630898i −0.0426484 + 0.00407243i
\(241\) 0.743660 3.06541i 0.0479034 0.197460i −0.942832 0.333269i \(-0.891848\pi\)
0.990735 + 0.135809i \(0.0433633\pi\)
\(242\) −0.212236 + 0.874847i −0.0136430 + 0.0562373i
\(243\) −0.995472 + 0.0950560i −0.0638596 + 0.00609785i
\(244\) −2.19844 15.2905i −0.140740 0.978871i
\(245\) −18.3084 14.5730i −1.16968 0.931037i
\(246\) 1.15236 + 2.52332i 0.0734720 + 0.160881i
\(247\) −3.82745 1.97319i −0.243535 0.125551i
\(248\) −21.7254 17.0850i −1.37956 1.08490i
\(249\) 7.58824 3.91201i 0.480885 0.247913i
\(250\) −3.46825 0.668451i −0.219352 0.0422766i
\(251\) 7.95002 + 2.33434i 0.501801 + 0.147342i 0.522830 0.852437i \(-0.324876\pi\)
−0.0210295 + 0.999779i \(0.506694\pi\)
\(252\) 2.57265 1.82059i 0.162062 0.114686i
\(253\) 5.22720 14.2356i 0.328631 0.894987i
\(254\) 6.66776 + 11.5489i 0.418372 + 0.724642i
\(255\) −14.7783 + 14.0911i −0.925455 + 0.882419i
\(256\) 5.37490 + 15.5298i 0.335932 + 0.970610i
\(257\) −0.561732 + 11.7922i −0.0350399 + 0.735578i 0.911171 + 0.412028i \(0.135179\pi\)
−0.946211 + 0.323550i \(0.895124\pi\)
\(258\) −0.654255 + 4.55044i −0.0407321 + 0.283298i
\(259\) −17.2764 + 2.43212i −1.07351 + 0.151124i
\(260\) −5.69741 12.4756i −0.353339 0.773703i
\(261\) −2.31097 + 6.67712i −0.143046 + 0.413304i
\(262\) 7.31287 + 2.92763i 0.451790 + 0.180870i
\(263\) −2.97334 4.17547i −0.183344 0.257471i 0.712667 0.701503i \(-0.247487\pi\)
−0.896011 + 0.444032i \(0.853548\pi\)
\(264\) 6.56793 + 6.26251i 0.404228 + 0.385431i
\(265\) 44.8056 13.1561i 2.75238 0.808173i
\(266\) 2.80840 + 0.981258i 0.172194 + 0.0601648i
\(267\) 0.178058 + 1.23842i 0.0108970 + 0.0757902i
\(268\) −2.73833 + 7.91189i −0.167270 + 0.483296i
\(269\) 1.75732 + 0.167803i 0.107145 + 0.0102312i 0.148491 0.988914i \(-0.452558\pi\)
−0.0413455 + 0.999145i \(0.513164\pi\)
\(270\) −0.143047 3.00292i −0.00870555 0.182752i
\(271\) −8.54546 + 3.42109i −0.519100 + 0.207816i −0.616392 0.787440i \(-0.711406\pi\)
0.0972918 + 0.995256i \(0.468982\pi\)
\(272\) −1.02026 0.655679i −0.0618621 0.0397564i
\(273\) −7.40711 5.30749i −0.448299 0.321224i
\(274\) −17.8493 5.24103i −1.07832 0.316622i
\(275\) 9.76286 + 16.9098i 0.588723 + 1.01970i
\(276\) 3.65973 + 4.38675i 0.220290 + 0.264052i
\(277\) −5.35814 + 9.28057i −0.321939 + 0.557615i −0.980888 0.194572i \(-0.937668\pi\)
0.658949 + 0.752188i \(0.271001\pi\)
\(278\) −2.45951 10.1382i −0.147512 0.608051i
\(279\) 6.30657 7.27817i 0.377564 0.435732i
\(280\) 13.6602 + 21.3938i 0.816352 + 1.27852i
\(281\) 1.18135 8.21650i 0.0704737 0.490155i −0.923764 0.382961i \(-0.874904\pi\)
0.994238 0.107194i \(-0.0341866\pi\)
\(282\) 0.837018 + 0.431513i 0.0498437 + 0.0256962i
\(283\) −3.07566 0.293690i −0.182829 0.0174581i 0.00323980 0.999995i \(-0.498969\pi\)
−0.186069 + 0.982537i \(0.559575\pi\)
\(284\) 0.279056 0.0537837i 0.0165589 0.00319147i
\(285\) −3.28534 + 2.58362i −0.194607 + 0.153041i
\(286\) 4.06870 8.90922i 0.240588 0.526813i
\(287\) 5.06362 6.40008i 0.298896 0.377785i
\(288\) −5.33604 + 1.56680i −0.314429 + 0.0923247i
\(289\) −20.2201 + 1.93079i −1.18942 + 0.113576i
\(290\) −19.7203 7.89481i −1.15802 0.463599i
\(291\) 7.91319 1.52514i 0.463879 0.0894054i
\(292\) 6.92338 9.72253i 0.405160 0.568968i
\(293\) −12.6148 + 8.10701i −0.736962 + 0.473617i −0.854500 0.519452i \(-0.826136\pi\)
0.117538 + 0.993068i \(0.462500\pi\)
\(294\) 5.57837 + 2.91752i 0.325337 + 0.170153i
\(295\) 33.1643 + 21.3134i 1.93090 + 1.24092i
\(296\) 18.5831 + 3.58160i 1.08012 + 0.208176i
\(297\) −2.28853 + 2.18211i −0.132794 + 0.126619i
\(298\) 3.15808 5.46996i 0.182943 0.316866i
\(299\) 8.52491 14.1476i 0.493008 0.818177i
\(300\) −7.35566 −0.424679
\(301\) 12.7939 4.38591i 0.737429 0.252800i
\(302\) −5.96970 + 6.88941i −0.343518 + 0.396441i
\(303\) 0.686026 14.4015i 0.0394112 0.827342i
\(304\) −0.195127 0.153449i −0.0111913 0.00880092i
\(305\) 2.06269 + 43.3012i 0.118109 + 2.47942i
\(306\) 3.18647 4.47477i 0.182158 0.255806i
\(307\) 12.2667 + 14.1566i 0.700099 + 0.807957i 0.988766 0.149472i \(-0.0477575\pi\)
−0.288667 + 0.957430i \(0.593212\pi\)
\(308\) 2.83586 9.55399i 0.161588 0.544389i
\(309\) −1.45301 + 3.18165i −0.0826590 + 0.180998i
\(310\) 20.9536 + 19.9792i 1.19009 + 1.13474i
\(311\) 5.25715 21.6703i 0.298105 1.22881i −0.603892 0.797066i \(-0.706384\pi\)
0.901998 0.431741i \(-0.142101\pi\)
\(312\) 5.73355 + 8.05164i 0.324598 + 0.455834i
\(313\) −20.0701 + 15.7833i −1.13443 + 0.892126i −0.995174 0.0981301i \(-0.968714\pi\)
−0.139257 + 0.990256i \(0.544471\pi\)
\(314\) 8.27105 + 9.54530i 0.466762 + 0.538673i
\(315\) −7.67249 + 4.39967i −0.432296 + 0.247893i
\(316\) 6.57406 4.22489i 0.369820 0.237669i
\(317\) −24.3819 + 9.76102i −1.36942 + 0.548234i −0.935695 0.352811i \(-0.885226\pi\)
−0.433727 + 0.901044i \(0.642802\pi\)
\(318\) −11.1662 + 5.75656i −0.626168 + 0.322812i
\(319\) 7.30758 + 21.1139i 0.409146 + 1.18215i
\(320\) −4.25463 17.5378i −0.237841 0.980394i
\(321\) 11.2880 0.630033
\(322\) −4.46942 + 10.4994i −0.249071 + 0.585109i
\(323\) −7.63716 −0.424943
\(324\) −0.280841 1.15764i −0.0156023 0.0643135i
\(325\) 6.95581 + 20.0975i 0.385839 + 1.11481i
\(326\) 3.52167 1.81555i 0.195047 0.100554i
\(327\) 11.1245 4.45357i 0.615185 0.246283i
\(328\) −7.44716 + 4.78600i −0.411201 + 0.264263i
\(329\) 0.00815116 2.77042i 0.000449388 0.152738i
\(330\) −6.22534 7.18443i −0.342694 0.395490i
\(331\) 10.6509 8.37595i 0.585426 0.460384i −0.280988 0.959711i \(-0.590662\pi\)
0.866413 + 0.499328i \(0.166420\pi\)
\(332\) 5.89906 + 8.28408i 0.323753 + 0.454648i
\(333\) −1.55466 + 6.40839i −0.0851947 + 0.351177i
\(334\) −3.47704 3.31535i −0.190255 0.181408i
\(335\) 9.76021 21.3719i 0.533257 1.16767i
\(336\) −0.361378 0.381242i −0.0197148 0.0207984i
\(337\) 16.8983 + 19.5017i 0.920510 + 1.06233i 0.997864 + 0.0653217i \(0.0208073\pi\)
−0.0773541 + 0.997004i \(0.524647\pi\)
\(338\) −0.593584 + 0.833572i −0.0322867 + 0.0453404i
\(339\) −0.506463 10.6320i −0.0275073 0.577449i
\(340\) −19.1201 15.0362i −1.03694 0.815455i
\(341\) 1.44899 30.4180i 0.0784670 1.64722i
\(342\) 0.736327 0.849767i 0.0398160 0.0459501i
\(343\) 0.163469 18.5195i 0.00882649 0.999961i
\(344\) −14.6708 −0.790997
\(345\) −9.05350 13.2309i −0.487424 0.712327i
\(346\) −2.66158 + 4.61000i −0.143088 + 0.247835i
\(347\) −1.54538 + 1.47352i −0.0829603 + 0.0791025i −0.730425 0.682993i \(-0.760678\pi\)
0.647465 + 0.762096i \(0.275829\pi\)
\(348\) −8.26476 1.59290i −0.443037 0.0853885i
\(349\) 7.16109 + 4.60216i 0.383325 + 0.246348i 0.718085 0.695956i \(-0.245019\pi\)
−0.334760 + 0.942303i \(0.608655\pi\)
\(350\) −6.69399 13.0789i −0.357809 0.699095i
\(351\) −2.89740 + 1.86204i −0.154652 + 0.0993886i
\(352\) −10.2006 + 14.3247i −0.543694 + 0.763511i
\(353\) −8.53653 + 1.64528i −0.454354 + 0.0875695i −0.411293 0.911503i \(-0.634923\pi\)
−0.0430602 + 0.999072i \(0.513711\pi\)
\(354\) −9.84595 3.94172i −0.523306 0.209500i
\(355\) −0.793907 + 0.0758089i −0.0421362 + 0.00402352i
\(356\) −1.43003 + 0.419896i −0.0757917 + 0.0222544i
\(357\) −15.9899 2.34703i −0.846274 0.124218i
\(358\) −0.732718 + 1.60443i −0.0387253 + 0.0847967i
\(359\) −21.0768 + 16.5750i −1.11239 + 0.874794i −0.993007 0.118054i \(-0.962334\pi\)
−0.119384 + 0.992848i \(0.538092\pi\)
\(360\) 9.42048 1.81565i 0.496503 0.0956931i
\(361\) 17.3578 + 1.65747i 0.913571 + 0.0872354i
\(362\) 6.33696 + 3.26693i 0.333063 + 0.171706i
\(363\) 0.142458 0.990815i 0.00747709 0.0520043i
\(364\) 5.00234 9.63348i 0.262194 0.504932i
\(365\) −21.9344 + 25.3136i −1.14810 + 1.32498i
\(366\) −2.74950 11.3336i −0.143719 0.592416i
\(367\) 1.30378 2.25822i 0.0680570 0.117878i −0.829989 0.557780i \(-0.811653\pi\)
0.898046 + 0.439902i \(0.144987\pi\)
\(368\) 0.636902 0.707823i 0.0332008 0.0368978i
\(369\) −1.54228 2.67130i −0.0802877 0.139062i
\(370\) −19.0215 5.58521i −0.988880 0.290361i
\(371\) 30.0425 + 21.5267i 1.55973 + 1.11761i
\(372\) 9.65081 + 6.20220i 0.500371 + 0.321569i
\(373\) 12.9937 5.20191i 0.672790 0.269345i −0.0100096 0.999950i \(-0.503186\pi\)
0.682800 + 0.730605i \(0.260762\pi\)
\(374\) −0.826532 17.3510i −0.0427389 0.897201i
\(375\) 3.90972 + 0.373333i 0.201897 + 0.0192788i
\(376\) −0.982898 + 2.83990i −0.0506891 + 0.146457i
\(377\) 3.46329 + 24.0877i 0.178368 + 1.24058i
\(378\) 1.80279 1.55286i 0.0927256 0.0798707i
\(379\) 17.2063 5.05224i 0.883831 0.259516i 0.191843 0.981426i \(-0.438554\pi\)
0.691987 + 0.721910i \(0.256735\pi\)
\(380\) −3.60330 3.43574i −0.184845 0.176250i
\(381\) −8.60134 12.0789i −0.440660 0.618820i
\(382\) −3.57566 1.43148i −0.182947 0.0732408i
\(383\) 6.55533 18.9404i 0.334962 0.967809i −0.644223 0.764838i \(-0.722819\pi\)
0.979185 0.202971i \(-0.0650597\pi\)
\(384\) −2.60367 5.70125i −0.132868 0.290941i
\(385\) −10.4707 + 25.9331i −0.533636 + 1.32168i
\(386\) 0.544189 3.78492i 0.0276985 0.192647i
\(387\) 0.243234 5.10611i 0.0123643 0.259558i
\(388\) 3.13980 + 9.07187i 0.159399 + 0.460554i
\(389\) 5.51446 5.25803i 0.279594 0.266592i −0.537286 0.843400i \(-0.680550\pi\)
0.816880 + 0.576808i \(0.195702\pi\)
\(390\) −5.17711 8.96701i −0.262153 0.454062i
\(391\) 1.94104 29.2303i 0.0981628 1.47824i
\(392\) −6.68224 + 18.9456i −0.337504 + 0.956899i
\(393\) −8.40417 2.46769i −0.423934 0.124478i
\(394\) −0.360507 0.0694820i −0.0181621 0.00350045i
\(395\) −19.4920 + 10.0488i −0.980750 + 0.505612i
\(396\) −2.96089 2.32847i −0.148791 0.117010i
\(397\) 3.68664 + 1.90060i 0.185027 + 0.0953882i 0.548251 0.836314i \(-0.315294\pi\)
−0.363224 + 0.931702i \(0.618324\pi\)
\(398\) 1.37555 + 3.01203i 0.0689499 + 0.150979i
\(399\) −3.21238 0.789329i −0.160820 0.0395159i
\(400\) 0.174476 + 1.21351i 0.00872382 + 0.0606755i
\(401\) 7.02856 0.671146i 0.350990 0.0335154i 0.0819275 0.996638i \(-0.473892\pi\)
0.269062 + 0.963123i \(0.413286\pi\)
\(402\) −1.49018 + 6.14260i −0.0743233 + 0.306365i
\(403\) 7.81976 32.2335i 0.389530 1.60566i
\(404\) 17.0970 1.63257i 0.850609 0.0812233i
\(405\) 0.475742 + 3.30886i 0.0236398 + 0.164419i
\(406\) −4.68902 16.1449i −0.232712 0.801259i
\(407\) 8.66218 + 18.9675i 0.429368 + 0.940185i
\(408\) 15.5818 + 8.03298i 0.771414 + 0.397692i
\(409\) 30.3960 + 23.9037i 1.50299 + 1.18196i 0.932773 + 0.360465i \(0.117382\pi\)
0.570214 + 0.821496i \(0.306860\pi\)
\(410\) 8.24233 4.24921i 0.407060 0.209854i
\(411\) 20.3116 + 3.91474i 1.00190 + 0.193100i
\(412\) −3.99781 1.17386i −0.196958 0.0578320i
\(413\) 2.87447 + 31.0686i 0.141443 + 1.52878i
\(414\) 3.06523 + 3.03418i 0.150648 + 0.149122i
\(415\) −14.2696 24.7156i −0.700466 1.21324i
\(416\) −13.8624 + 13.2177i −0.679658 + 0.648053i
\(417\) 3.79406 + 10.9622i 0.185796 + 0.536821i
\(418\) 0.169177 3.55147i 0.00827473 0.173708i
\(419\) 0.667230 4.64069i 0.0325963 0.226712i −0.967011 0.254735i \(-0.918012\pi\)
0.999607 + 0.0280223i \(0.00892095\pi\)
\(420\) −6.48834 8.30075i −0.316599 0.405035i
\(421\) 1.97464 + 4.32386i 0.0962382 + 0.210732i 0.951628 0.307253i \(-0.0994097\pi\)
−0.855390 + 0.517985i \(0.826682\pi\)
\(422\) 7.44899 21.5225i 0.362611 1.04770i
\(423\) −0.972118 0.389177i −0.0472660 0.0189224i
\(424\) −23.2547 32.6567i −1.12935 1.58595i
\(425\) 27.2981 + 26.0287i 1.32415 + 1.26258i
\(426\) 0.205862 0.0604464i 0.00997403 0.00292864i
\(427\) −25.9957 + 22.3918i −1.25802 + 1.08362i
\(428\) 1.91363 + 13.3096i 0.0924990 + 0.643345i
\(429\) −3.56203 + 10.2918i −0.171976 + 0.496893i
\(430\) 15.2984 + 1.46082i 0.737757 + 0.0704472i
\(431\) −0.316293 6.63980i −0.0152353 0.319828i −0.993601 0.112946i \(-0.963971\pi\)
0.978366 0.206882i \(-0.0663317\pi\)
\(432\) −0.184322 + 0.0737915i −0.00886821 + 0.00355030i
\(433\) −32.0915 20.6240i −1.54222 0.991124i −0.987236 0.159262i \(-0.949088\pi\)
−0.554983 0.831862i \(-0.687275\pi\)
\(434\) −2.24525 + 22.8041i −0.107776 + 1.09463i
\(435\) 22.6632 + 6.65450i 1.08662 + 0.319059i
\(436\) 7.13710 + 12.3618i 0.341805 + 0.592024i
\(437\) 0.964216 5.91810i 0.0461247 0.283101i
\(438\) 4.50546 7.80369i 0.215279 0.372875i
\(439\) 5.73046 + 23.6213i 0.273500 + 1.12738i 0.928375 + 0.371645i \(0.121206\pi\)
−0.654875 + 0.755737i \(0.727279\pi\)
\(440\) 19.8665 22.9271i 0.947096 1.09301i
\(441\) −6.48315 2.63983i −0.308722 0.125706i
\(442\) 2.69259 18.7274i 0.128074 0.890771i
\(443\) 12.0659 + 6.22038i 0.573266 + 0.295539i 0.720379 0.693580i \(-0.243968\pi\)
−0.147113 + 0.989120i \(0.546998\pi\)
\(444\) −7.81967 0.746688i −0.371105 0.0354362i
\(445\) 4.10689 0.791538i 0.194685 0.0375225i
\(446\) −17.4110 + 13.6922i −0.824435 + 0.648343i
\(447\) −2.91757 + 6.38858i −0.137996 + 0.302170i
\(448\) 8.86220 11.2012i 0.418699 0.529208i
\(449\) 0.0280839 0.00824617i 0.00132536 0.000389161i −0.281070 0.959687i \(-0.590689\pi\)
0.282395 + 0.959298i \(0.408871\pi\)
\(450\) −5.52806 + 0.527865i −0.260595 + 0.0248838i
\(451\) −9.05505 3.62509i −0.426386 0.170699i
\(452\) 12.4503 2.39959i 0.585611 0.112867i
\(453\) 5.87976 8.25697i 0.276255 0.387946i
\(454\) 7.33684 4.71510i 0.344335 0.221291i
\(455\) −16.5441 + 25.5773i −0.775598 + 1.19908i
\(456\) 3.01860 + 1.93994i 0.141359 + 0.0908459i
\(457\) 25.4737 + 4.90965i 1.19161 + 0.229664i 0.746236 0.665682i \(-0.231859\pi\)
0.445372 + 0.895345i \(0.353071\pi\)
\(458\) −2.06304 + 1.96711i −0.0963997 + 0.0919169i
\(459\) −3.05418 + 5.29000i −0.142557 + 0.246916i
\(460\) 14.0657 12.9180i 0.655816 0.602304i
\(461\) −20.6870 −0.963491 −0.481745 0.876311i \(-0.659997\pi\)
−0.481745 + 0.876311i \(0.659997\pi\)
\(462\) 1.44563 7.38369i 0.0672570 0.343520i
\(463\) 8.01340 9.24796i 0.372414 0.429789i −0.538346 0.842724i \(-0.680951\pi\)
0.910761 + 0.412935i \(0.135496\pi\)
\(464\) −0.0667509 + 1.40127i −0.00309883 + 0.0650525i
\(465\) −25.3056 19.9006i −1.17352 0.922867i
\(466\) −1.02067 21.4264i −0.0472814 0.992559i
\(467\) 14.6659 20.5954i 0.678659 0.953043i −0.321322 0.946970i \(-0.604127\pi\)
0.999982 0.00607359i \(-0.00193330\pi\)
\(468\) −2.68672 3.10064i −0.124194 0.143327i
\(469\) 18.0840 4.33083i 0.835042 0.199979i
\(470\) 1.30773 2.86352i 0.0603210 0.132084i
\(471\) −10.1643 9.69161i −0.468345 0.446566i
\(472\) 7.97926 32.8910i 0.367275 1.51393i
\(473\) −9.37629 13.1672i −0.431122 0.605427i
\(474\) 4.63746 3.64694i 0.213006 0.167510i
\(475\) 5.05574 + 5.83464i 0.231973 + 0.267712i
\(476\) 0.0566420 19.2515i 0.00259618 0.882391i
\(477\) 11.7516 7.55227i 0.538067 0.345795i
\(478\) −11.9008 + 4.76437i −0.544331 + 0.217917i
\(479\) 31.4726 16.2253i 1.43802 0.741351i 0.449620 0.893220i \(-0.351560\pi\)
0.988401 + 0.151869i \(0.0485293\pi\)
\(480\) 6.08046 + 17.5683i 0.277534 + 0.801881i
\(481\) 5.35446 + 22.0714i 0.244142 + 1.00637i
\(482\) 2.83675 0.129210
\(483\) 3.83751 12.0944i 0.174613 0.550312i
\(484\) 1.19242 0.0542008
\(485\) −6.35128 26.1803i −0.288397 1.18879i
\(486\) −0.294139 0.849859i −0.0133424 0.0385504i
\(487\) 7.67732 3.95794i 0.347893 0.179351i −0.275420 0.961324i \(-0.588817\pi\)
0.623312 + 0.781973i \(0.285786\pi\)
\(488\) 34.5511 13.8322i 1.56406 0.626154i
\(489\) −3.70629 + 2.38189i −0.167604 + 0.107713i
\(490\) 8.85460 19.0908i 0.400010 0.862433i
\(491\) −7.27048 8.39058i −0.328112 0.378661i 0.567594 0.823309i \(-0.307874\pi\)
−0.895706 + 0.444647i \(0.853329\pi\)
\(492\) 2.88827 2.27136i 0.130213 0.102401i
\(493\) 25.0353 + 35.1571i 1.12753 + 1.58340i
\(494\) 0.913001 3.76344i 0.0410778 0.169325i
\(495\) 7.65030 + 7.29455i 0.343856 + 0.327866i
\(496\) 0.794299 1.73927i 0.0356651 0.0780956i
\(497\) −0.434233 0.458101i −0.0194780 0.0205487i
\(498\) 5.02786 + 5.80246i 0.225304 + 0.260014i
\(499\) −7.80492 + 10.9605i −0.349396 + 0.490658i −0.951453 0.307795i \(-0.900409\pi\)
0.602056 + 0.798454i \(0.294348\pi\)
\(500\) 0.222613 + 4.67323i 0.00995557 + 0.208993i
\(501\) 4.19921 + 3.30230i 0.187607 + 0.147536i
\(502\) −0.354554 + 7.44301i −0.0158245 + 0.332198i
\(503\) 21.5712 24.8945i 0.961811 1.10999i −0.0320649 0.999486i \(-0.510208\pi\)
0.993876 0.110503i \(-0.0352462\pi\)
\(504\) 5.72385 + 4.98930i 0.254960 + 0.222241i
\(505\) −48.1970 −2.14474
\(506\) 13.5498 + 1.55014i 0.602362 + 0.0689121i
\(507\) 0.568941 0.985434i 0.0252675 0.0437647i
\(508\) 12.7840 12.1895i 0.567199 0.540823i
\(509\) −9.06242 1.74664i −0.401685 0.0774184i −0.0155922 0.999878i \(-0.504963\pi\)
−0.386093 + 0.922460i \(0.626175\pi\)
\(510\) −15.4486 9.92818i −0.684073 0.439627i
\(511\) −26.4758 1.33928i −1.17122 0.0592464i
\(512\) −1.88759 + 1.21308i −0.0834206 + 0.0536111i
\(513\) −0.725233 + 1.01845i −0.0320198 + 0.0449656i
\(514\) −10.4251 + 2.00928i −0.459833 + 0.0886256i
\(515\) 10.8550 + 4.34568i 0.478327 + 0.191493i
\(516\) 6.06184 0.578835i 0.266857 0.0254818i
\(517\) −3.17701 + 0.932855i −0.139725 + 0.0410269i
\(518\) −5.78860 14.5834i −0.254336 0.640759i
\(519\) 2.45888 5.38420i 0.107933 0.236340i
\(520\) 25.9732 20.4256i 1.13900 0.895721i
\(521\) 39.2456 7.56397i 1.71938 0.331384i 0.768246 0.640155i \(-0.221130\pi\)
0.951136 + 0.308772i \(0.0999178\pi\)
\(522\) −6.32559 0.604020i −0.276863 0.0264372i
\(523\) −5.92743 3.05580i −0.259188 0.133621i 0.323736 0.946148i \(-0.395061\pi\)
−0.582924 + 0.812527i \(0.698091\pi\)
\(524\) 1.48490 10.3277i 0.0648680 0.451167i
\(525\) 8.79209 + 13.7697i 0.383718 + 0.600957i
\(526\) 3.01882 3.48391i 0.131627 0.151906i
\(527\) −13.8687 57.1677i −0.604132 2.49026i
\(528\) −0.313911 + 0.543709i −0.0136612 + 0.0236619i
\(529\) 22.4057 + 5.19455i 0.974162 + 0.225850i
\(530\) 20.9978 + 36.3693i 0.912088 + 1.57978i
\(531\) 11.3153 + 3.32246i 0.491041 + 0.144183i
\(532\) 0.386106 3.92152i 0.0167398 0.170019i
\(533\) −8.93718 5.74358i −0.387112 0.248782i
\(534\) −1.04459 + 0.418191i −0.0452039 + 0.0180969i
\(535\) −1.79547 37.6917i −0.0776252 1.62955i
\(536\) −20.0796 1.91737i −0.867309 0.0828179i
\(537\) 0.641472 1.85341i 0.0276816 0.0799807i
\(538\) 0.225936 + 1.57142i 0.00974080 + 0.0677488i
\(539\) −21.2745 + 6.11102i −0.916359 + 0.263220i
\(540\) −3.82082 + 1.12189i −0.164422 + 0.0482786i
\(541\) −8.74870 8.34187i −0.376136 0.358645i 0.478305 0.878194i \(-0.341251\pi\)
−0.854441 + 0.519549i \(0.826100\pi\)
\(542\) −4.80176 6.74313i −0.206253 0.289642i
\(543\) −7.35978 2.94641i −0.315839 0.126443i
\(544\) −11.1107 + 32.1021i −0.476366 + 1.37637i
\(545\) −16.6404 36.4373i −0.712795 1.56080i
\(546\) 3.06811 7.59891i 0.131303 0.325203i
\(547\) 3.59372 24.9949i 0.153656 1.06870i −0.756367 0.654148i \(-0.773028\pi\)
0.910023 0.414557i \(-0.136063\pi\)
\(548\) −1.17246 + 24.6130i −0.0500852 + 1.05142i
\(549\) 4.24139 + 12.2547i 0.181018 + 0.523018i
\(550\) −12.7087 + 12.1177i −0.541900 + 0.516701i
\(551\) 4.41707 + 7.65059i 0.188174 + 0.325926i
\(552\) −8.19207 + 11.0603i −0.348678 + 0.470757i
\(553\) −15.7668 7.25658i −0.670471 0.308581i
\(554\) −9.24699 2.71516i −0.392867 0.115356i
\(555\) 21.6455 + 4.17183i 0.918801 + 0.177084i
\(556\) −12.2823 + 6.33197i −0.520886 + 0.268535i
\(557\) −4.91294 3.86358i −0.208168 0.163705i 0.508632 0.860984i \(-0.330151\pi\)
−0.716800 + 0.697279i \(0.754394\pi\)
\(558\) 7.69804 + 3.96861i 0.325884 + 0.168005i
\(559\) −7.31384 16.0151i −0.309343 0.677366i
\(560\) −1.21552 + 1.26732i −0.0513652 + 0.0535539i
\(561\) 2.74886 + 19.1188i 0.116057 + 0.807195i
\(562\) 7.43145 0.709617i 0.313477 0.0299334i
\(563\) −3.51226 + 14.4777i −0.148024 + 0.610164i 0.848670 + 0.528922i \(0.177404\pi\)
−0.996694 + 0.0812416i \(0.974111\pi\)
\(564\) 0.294076 1.21220i 0.0123828 0.0510428i
\(565\) −35.4206 + 3.38226i −1.49016 + 0.142293i
\(566\) −0.395434 2.75031i −0.0166213 0.115604i
\(567\) −1.83140 + 1.90944i −0.0769117 + 0.0801890i
\(568\) 0.284428 + 0.622811i 0.0119343 + 0.0261326i
\(569\) 16.5768 + 8.54596i 0.694937 + 0.358265i 0.769231 0.638971i \(-0.220640\pi\)
−0.0742931 + 0.997236i \(0.523670\pi\)
\(570\) −2.95458 2.32350i −0.123754 0.0973209i
\(571\) −24.8281 + 12.7998i −1.03902 + 0.535653i −0.891318 0.453379i \(-0.850219\pi\)
−0.147704 + 0.989032i \(0.547188\pi\)
\(572\) −12.7389 2.45522i −0.532640 0.102658i
\(573\) 4.10926 + 1.20659i 0.171667 + 0.0504059i
\(574\) 6.66708 + 3.06849i 0.278279 + 0.128076i
\(575\) −23.6163 + 17.8673i −0.984869 + 0.745119i
\(576\) −2.69924 4.67523i −0.112469 0.194801i
\(577\) −21.8491 + 20.8331i −0.909590 + 0.867292i −0.991600 0.129339i \(-0.958714\pi\)
0.0820107 + 0.996631i \(0.473866\pi\)
\(578\) −5.97458 17.2624i −0.248510 0.718021i
\(579\) −0.202314 + 4.24710i −0.00840790 + 0.176504i
\(580\) −4.00426 + 27.8502i −0.166268 + 1.15642i
\(581\) 8.45659 20.9447i 0.350839 0.868934i
\(582\) 3.01071 + 6.59253i 0.124798 + 0.273269i
\(583\) 14.4472 41.7425i 0.598343 1.72880i
\(584\) 26.6960 + 10.6875i 1.10469 + 0.442251i
\(585\) 6.67841 + 9.37852i 0.276118 + 0.387754i
\(586\) −9.75990 9.30605i −0.403178 0.384429i
\(587\) −21.5400 + 6.32470i −0.889050 + 0.261048i −0.694198 0.719784i \(-0.744241\pi\)
−0.194852 + 0.980833i \(0.562423\pi\)
\(588\) 2.01354 8.09180i 0.0830370 0.333700i
\(589\) −1.71357 11.9181i −0.0706064 0.491078i
\(590\) −11.5957 + 33.5036i −0.477387 + 1.37932i
\(591\) 0.406395 + 0.0388060i 0.0167168 + 0.00159627i
\(592\) 0.0622969 + 1.30777i 0.00256039 + 0.0537491i
\(593\) −14.1421 + 5.66164i −0.580746 + 0.232496i −0.643388 0.765540i \(-0.722472\pi\)
0.0626418 + 0.998036i \(0.480047\pi\)
\(594\) −2.39232 1.53745i −0.0981582 0.0630824i
\(595\) −5.29362 + 53.7651i −0.217017 + 2.20415i
\(596\) −8.02737 2.35705i −0.328814 0.0965485i
\(597\) −1.84098 3.18867i −0.0753462 0.130503i
\(598\) 14.1721 + 4.45091i 0.579539 + 0.182011i
\(599\) −13.1031 + 22.6952i −0.535377 + 0.927300i 0.463768 + 0.885957i \(0.346497\pi\)
−0.999145 + 0.0413434i \(0.986836\pi\)
\(600\) −4.17800 17.2220i −0.170566 0.703083i
\(601\) −0.414879 + 0.478796i −0.0169233 + 0.0195305i −0.764148 0.645041i \(-0.776840\pi\)
0.747225 + 0.664571i \(0.231386\pi\)
\(602\) 6.54576 + 10.2516i 0.266785 + 0.417824i
\(603\) 1.00024 6.95684i 0.0407331 0.283305i
\(604\) 10.7326 + 5.53302i 0.436702 + 0.225135i
\(605\) −3.33109 0.318080i −0.135428 0.0129318i
\(606\) 12.7319 2.45387i 0.517198 0.0996817i
\(607\) −10.8280 + 8.51524i −0.439495 + 0.345623i −0.813260 0.581901i \(-0.802309\pi\)
0.373765 + 0.927524i \(0.378067\pi\)
\(608\) −2.88846 + 6.32485i −0.117143 + 0.256506i
\(609\) 6.89683 + 17.3754i 0.279474 + 0.704088i
\(610\) −37.4066 + 10.9836i −1.51455 + 0.444712i
\(611\) −3.59012 + 0.342815i −0.145241 + 0.0138688i
\(612\) −6.75519 2.70437i −0.273062 0.109318i
\(613\) 12.4432 2.39823i 0.502576 0.0968636i 0.0683389 0.997662i \(-0.478230\pi\)
0.434237 + 0.900799i \(0.357018\pi\)
\(614\) −9.77158 + 13.7223i −0.394349 + 0.553785i
\(615\) −8.67443 + 5.57472i −0.349787 + 0.224794i
\(616\) 23.9797 + 1.21302i 0.966170 + 0.0488739i
\(617\) 6.72722 + 4.32332i 0.270828 + 0.174050i 0.669005 0.743258i \(-0.266721\pi\)
−0.398177 + 0.917309i \(0.630357\pi\)
\(618\) −3.08874 0.595306i −0.124247 0.0239467i
\(619\) −17.1711 + 16.3726i −0.690165 + 0.658071i −0.951667 0.307132i \(-0.900631\pi\)
0.261502 + 0.965203i \(0.415782\pi\)
\(620\) 19.1747 33.2115i 0.770074 1.33381i
\(621\) −3.71366 3.03459i −0.149024 0.121774i
\(622\) 20.0538 0.804084
\(623\) 2.49533 + 2.17510i 0.0999733 + 0.0871437i
\(624\) −0.447804 + 0.516793i −0.0179265 + 0.0206883i
\(625\) −0.844352 + 17.7251i −0.0337741 + 0.709005i
\(626\) −18.0495 14.1943i −0.721402 0.567317i
\(627\) 0.188117 + 3.94906i 0.00751266 + 0.157710i
\(628\) 9.70422 13.6277i 0.387241 0.543803i
\(629\) 26.3779 + 30.4417i 1.05176 + 1.21379i
\(630\) −5.47192 5.77270i −0.218007 0.229990i
\(631\) −2.75113 + 6.02413i −0.109521 + 0.239817i −0.956454 0.291882i \(-0.905719\pi\)
0.846934 + 0.531698i \(0.178446\pi\)
\(632\) 13.6259 + 12.9922i 0.542008 + 0.516804i
\(633\) −5.97053 + 24.6109i −0.237307 + 0.978195i
\(634\) −13.7004 19.2395i −0.544111 0.764096i
\(635\) −38.9645 + 30.6420i −1.54626 + 1.21599i
\(636\) 10.8971 + 12.5759i 0.432098 + 0.498667i
\(637\) −24.0129 + 2.15044i −0.951426 + 0.0852036i
\(638\) −16.9035 + 10.8632i −0.669216 + 0.430079i
\(639\) −0.221482 + 0.0886681i −0.00876170 + 0.00350766i
\(640\) −18.6229 + 9.60077i −0.736135 + 0.379504i
\(641\) −8.34756 24.1187i −0.329709 0.952631i −0.981035 0.193833i \(-0.937908\pi\)
0.651326 0.758798i \(-0.274213\pi\)
\(642\) 2.39331 + 9.86535i 0.0944563 + 0.389354i
\(643\) 4.05254 0.159817 0.0799083 0.996802i \(-0.474537\pi\)
0.0799083 + 0.996802i \(0.474537\pi\)
\(644\) 14.9110 + 2.47446i 0.587576 + 0.0975073i
\(645\) −17.0885 −0.672859
\(646\) −1.61925 6.67465i −0.0637087 0.262611i
\(647\) 3.61188 + 10.4358i 0.141998 + 0.410275i 0.993466 0.114131i \(-0.0364084\pi\)
−0.851468 + 0.524407i \(0.824287\pi\)
\(648\) 2.55090 1.31508i 0.100209 0.0516612i
\(649\) 34.6195 13.8596i 1.35894 0.544036i
\(650\) −16.0898 + 10.3403i −0.631095 + 0.405580i
\(651\) 0.0749661 25.4795i 0.00293815 0.998621i
\(652\) −3.43680 3.96628i −0.134596 0.155332i
\(653\) −14.3795 + 11.3081i −0.562712 + 0.442521i −0.858560 0.512714i \(-0.828640\pi\)
0.295848 + 0.955235i \(0.404398\pi\)
\(654\) 6.25093 + 8.77820i 0.244431 + 0.343255i
\(655\) −6.90307 + 28.4549i −0.269725 + 1.11182i
\(656\) −0.443230 0.422619i −0.0173052 0.0165005i
\(657\) −4.16233 + 9.11424i −0.162388 + 0.355580i
\(658\) 2.42299 0.580269i 0.0944582 0.0226212i
\(659\) −14.8380 17.1239i −0.578005 0.667054i 0.389169 0.921166i \(-0.372762\pi\)
−0.967175 + 0.254112i \(0.918217\pi\)
\(660\) −7.30404 + 10.2571i −0.284309 + 0.399257i
\(661\) −0.551019 11.5673i −0.0214322 0.449917i −0.983922 0.178599i \(-0.942844\pi\)
0.962490 0.271318i \(-0.0874594\pi\)
\(662\) 9.57856 + 7.53267i 0.372281 + 0.292765i
\(663\) −1.00103 + 21.0142i −0.0388768 + 0.816125i
\(664\) −16.0450 + 18.5169i −0.622667 + 0.718597i
\(665\) −2.12468 + 10.8520i −0.0823917 + 0.420822i
\(666\) −5.93036 −0.229797
\(667\) −30.4043 + 14.9613i −1.17726 + 0.579305i
\(668\) −3.18184 + 5.51111i −0.123109 + 0.213231i
\(669\) 17.8253 16.9964i 0.689165 0.657118i
\(670\) 20.7478 + 3.99881i 0.801556 + 0.154487i
\(671\) 34.4966 + 22.1696i 1.33172 + 0.855848i
\(672\) −7.99129 + 12.3546i −0.308271 + 0.476590i
\(673\) 5.77574 3.71184i 0.222639 0.143081i −0.424567 0.905396i \(-0.639574\pi\)
0.647206 + 0.762315i \(0.275937\pi\)
\(674\) −13.4611 + 18.9034i −0.518501 + 0.728133i
\(675\) 6.06330 1.16860i 0.233376 0.0449796i
\(676\) 1.25838 + 0.503777i 0.0483990 + 0.0193761i
\(677\) −9.80134 + 0.935914i −0.376696 + 0.0359701i −0.281687 0.959506i \(-0.590894\pi\)
−0.0950089 + 0.995476i \(0.530288\pi\)
\(678\) 9.18464 2.69685i 0.352734 0.103572i
\(679\) 13.2294 16.7211i 0.507698 0.641697i
\(680\) 24.3445 53.3069i 0.933567 2.04423i
\(681\) −7.62288 + 5.99470i −0.292110 + 0.229717i
\(682\) 26.8916 5.18293i 1.02973 0.198465i
\(683\) 1.21117 + 0.115653i 0.0463441 + 0.00442532i 0.118202 0.992990i \(-0.462287\pi\)
−0.0718583 + 0.997415i \(0.522893\pi\)
\(684\) −1.32380 0.682465i −0.0506166 0.0260947i
\(685\) 9.84094 68.4452i 0.376003 2.61516i
\(686\) 16.2202 3.78370i 0.619289 0.144462i
\(687\) 2.07570 2.39548i 0.0791928 0.0913933i
\(688\) −0.239281 0.986330i −0.00912250 0.0376035i
\(689\) 24.0558 41.6659i 0.916453 1.58734i
\(690\) 9.64386 10.7177i 0.367135 0.408017i
\(691\) 13.2911 + 23.0209i 0.505619 + 0.875758i 0.999979 + 0.00650065i \(0.00206923\pi\)
−0.494360 + 0.869257i \(0.664597\pi\)
\(692\) 6.76535 + 1.98649i 0.257180 + 0.0755149i
\(693\) −0.819756 + 8.32592i −0.0311400 + 0.316276i
\(694\) −1.61546 1.03820i −0.0613222 0.0394094i
\(695\) 36.0004 14.4124i 1.36557 0.546693i
\(696\) −0.964874 20.2552i −0.0365735 0.767772i
\(697\) −18.7563 1.79101i −0.710444 0.0678392i
\(698\) −2.50383 + 7.23434i −0.0947714 + 0.273824i
\(699\) 3.39451 + 23.6093i 0.128392 + 0.892987i
\(700\) −14.7453 + 12.7011i −0.557319 + 0.480056i
\(701\) −14.4164 + 4.23302i −0.544498 + 0.159879i −0.542403 0.840119i \(-0.682485\pi\)
−0.00209555 + 0.999998i \(0.500667\pi\)
\(702\) −2.24169 2.13744i −0.0846070 0.0806726i
\(703\) 4.78238 + 6.71592i 0.180371 + 0.253296i
\(704\) −15.8479 6.34453i −0.597289 0.239118i
\(705\) −1.14488 + 3.30790i −0.0431185 + 0.124583i
\(706\) −3.24787 7.11184i −0.122235 0.267657i
\(707\) −23.4919 30.0539i −0.883504 1.13029i
\(708\) −1.99924 + 13.9051i −0.0751362 + 0.522584i
\(709\) −0.316583 + 6.64590i −0.0118895 + 0.249592i 0.985096 + 0.172005i \(0.0550246\pi\)
−0.996986 + 0.0775869i \(0.975278\pi\)
\(710\) −0.234581 0.677778i −0.00880367 0.0254365i
\(711\) −4.74781 + 4.52702i −0.178057 + 0.169777i
\(712\) −1.79537 3.10967i −0.0672843 0.116540i
\(713\) 46.0507 3.52939i 1.72461 0.132177i
\(714\) −1.33898 14.4723i −0.0501101 0.541612i
\(715\) 34.9319 + 10.2569i 1.30638 + 0.383588i
\(716\) 2.29410 + 0.442152i 0.0857346 + 0.0165240i
\(717\) 12.6696 6.53164i 0.473155 0.243929i
\(718\) −18.9548 14.9062i −0.707387 0.556295i
\(719\) 18.4959 + 9.53528i 0.689779 + 0.355606i 0.767214 0.641392i \(-0.221643\pi\)
−0.0774345 + 0.996997i \(0.524673\pi\)
\(720\) 0.275716 + 0.603733i 0.0102753 + 0.0224998i
\(721\) 2.58106 + 8.88692i 0.0961236 + 0.330966i
\(722\) 2.23168 + 15.5217i 0.0830545 + 0.577656i
\(723\) −3.14004 + 0.299838i −0.116779 + 0.0111511i
\(724\) 2.22641 9.17740i 0.0827440 0.341075i
\(725\) 10.2862 42.4002i 0.382019 1.57470i
\(726\) 0.896147 0.0855717i 0.0332591 0.00317586i
\(727\) 1.93155 + 13.4342i 0.0716372 + 0.498247i 0.993777 + 0.111390i \(0.0355303\pi\)
−0.922140 + 0.386857i \(0.873561\pi\)
\(728\) 25.3964 + 6.24027i 0.941253 + 0.231280i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −26.7739 13.8029i −0.990948 0.510869i
\(731\) −24.5448 19.3022i −0.907821 0.713918i
\(732\) −13.7305 + 7.07854i −0.507492 + 0.261630i
\(733\) 14.6853 + 2.83036i 0.542413 + 0.104542i 0.453096 0.891462i \(-0.350319\pi\)
0.0893170 + 0.996003i \(0.471532\pi\)
\(734\) 2.25005 + 0.660674i 0.0830508 + 0.0243859i
\(735\) −7.78345 + 22.0678i −0.287097 + 0.813983i
\(736\) −23.4734 12.6627i −0.865243 0.466755i
\(737\) −11.1123 19.2471i −0.409327 0.708974i
\(738\) 2.00764 1.91428i 0.0739023 0.0704657i
\(739\) −8.33790 24.0908i −0.306715 0.886193i −0.988038 0.154211i \(-0.950716\pi\)
0.681323 0.731983i \(-0.261405\pi\)
\(740\) −1.24946 + 26.2294i −0.0459311 + 0.964213i
\(741\) −0.612828 + 4.26231i −0.0225128 + 0.156580i
\(742\) −12.4440 + 30.8204i −0.456833 + 1.13145i
\(743\) 16.8347 + 36.8628i 0.617605 + 1.35237i 0.917249 + 0.398315i \(0.130405\pi\)
−0.299643 + 0.954051i \(0.596868\pi\)
\(744\) −9.03969 + 26.1185i −0.331411 + 0.957550i
\(745\) 21.7962 + 8.72588i 0.798550 + 0.319691i
\(746\) 7.30128 + 10.2532i 0.267319 + 0.375397i
\(747\) −6.17872 5.89140i −0.226068 0.215555i
\(748\) −22.0769 + 6.48236i −0.807211 + 0.237018i
\(749\) 22.6280 19.4910i 0.826810 0.712187i
\(750\) 0.502668 + 3.49613i 0.0183548 + 0.127661i
\(751\) 2.76035 7.97550i 0.100727 0.291030i −0.883367 0.468682i \(-0.844729\pi\)
0.984093 + 0.177652i \(0.0568501\pi\)
\(752\) −0.206960 0.0197622i −0.00754704 0.000720655i
\(753\) −0.394247 8.27626i −0.0143672 0.301604i
\(754\) −20.3176 + 8.13395i −0.739924 + 0.296221i
\(755\) −28.5061 18.3198i −1.03744 0.666724i
\(756\) −2.56189 1.83570i −0.0931751 0.0667637i
\(757\) −45.6865 13.4148i −1.66051 0.487568i −0.689035 0.724728i \(-0.741965\pi\)
−0.971471 + 0.237160i \(0.923784\pi\)
\(758\) 8.06365 + 13.9666i 0.292885 + 0.507291i
\(759\) −15.1623 0.283690i −0.550358 0.0102973i
\(760\) 5.99750 10.3880i 0.217552 0.376812i
\(761\) 1.58739 + 6.54329i 0.0575427 + 0.237194i 0.993319 0.115400i \(-0.0368149\pi\)
−0.935776 + 0.352594i \(0.885300\pi\)
\(762\) 8.73291 10.0783i 0.316360 0.365099i
\(763\) 14.6103 28.1364i 0.528927 1.01861i
\(764\) −0.726047 + 5.04977i −0.0262675 + 0.182694i
\(765\) 18.1496 + 9.35678i 0.656201 + 0.338295i
\(766\) 17.9432 + 1.71337i 0.648315 + 0.0619066i
\(767\) 39.8827 7.68675i 1.44008 0.277553i
\(768\) 12.9177 10.1586i 0.466127 0.366566i
\(769\) −13.3008 + 29.1247i −0.479640 + 1.05026i 0.502923 + 0.864331i \(0.332258\pi\)
−0.982562 + 0.185933i \(0.940469\pi\)
\(770\) −24.8848 3.65266i −0.896787 0.131633i
\(771\) 11.3274 3.32602i 0.407945 0.119784i
\(772\) −5.04205 + 0.481457i −0.181467 + 0.0173280i