Properties

Label 384.2.w.a.227.22
Level $384$
Weight $2$
Character 384.227
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 227.22
Character \(\chi\) \(=\) 384.227
Dual form 384.2.w.a.203.22

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.617502 - 1.27228i) q^{2} +(-0.948084 + 1.44953i) q^{3} +(-1.23738 + 1.57127i) q^{4} +(0.857825 + 1.60488i) q^{5} +(2.42965 + 0.311138i) q^{6} +(-1.64546 + 0.327303i) q^{7} +(2.76318 + 0.604033i) q^{8} +(-1.20227 - 2.74855i) q^{9} +O(q^{10})\) \(q+(-0.617502 - 1.27228i) q^{2} +(-0.948084 + 1.44953i) q^{3} +(-1.23738 + 1.57127i) q^{4} +(0.857825 + 1.60488i) q^{5} +(2.42965 + 0.311138i) q^{6} +(-1.64546 + 0.327303i) q^{7} +(2.76318 + 0.604033i) q^{8} +(-1.20227 - 2.74855i) q^{9} +(1.51214 - 2.08241i) q^{10} +(2.14203 - 2.61007i) q^{11} +(-1.10446 - 3.28332i) q^{12} +(-2.50305 + 4.68288i) q^{13} +(1.43250 + 1.89138i) q^{14} +(-3.13961 - 0.278115i) q^{15} +(-0.937770 - 3.88852i) q^{16} +(-1.09689 - 0.454347i) q^{17} +(-2.75451 + 3.22686i) q^{18} +(-8.04397 + 2.44011i) q^{19} +(-3.58315 - 0.637974i) q^{20} +(1.08560 - 2.69546i) q^{21} +(-4.64344 - 1.11353i) q^{22} +(-6.42338 + 4.29197i) q^{23} +(-3.49529 + 3.43263i) q^{24} +(0.938084 - 1.40394i) q^{25} +(7.50356 + 0.292889i) q^{26} +(5.12396 + 0.863124i) q^{27} +(1.52179 - 2.99046i) q^{28} +(1.18960 + 1.44953i) q^{29} +(1.58487 + 4.16619i) q^{30} +(-5.85015 - 5.85015i) q^{31} +(-4.36820 + 3.59427i) q^{32} +(1.75255 + 5.57950i) q^{33} +(0.0992767 + 1.67611i) q^{34} +(-1.93680 - 2.36000i) q^{35} +(5.80639 + 1.51191i) q^{36} +(6.63463 + 2.01259i) q^{37} +(8.07167 + 8.72740i) q^{38} +(-4.41487 - 8.06801i) q^{39} +(1.40092 + 4.95271i) q^{40} +(-3.28266 + 2.19340i) q^{41} +(-4.09973 + 0.283265i) q^{42} +(-8.90461 + 0.877028i) q^{43} +(1.45061 + 6.59536i) q^{44} +(3.37975 - 4.28728i) q^{45} +(9.42703 + 5.52203i) q^{46} +(7.69592 + 3.18775i) q^{47} +(6.52561 + 2.32732i) q^{48} +(-3.86673 + 1.60165i) q^{49} +(-2.36547 - 0.326567i) q^{50} +(1.69854 - 1.15922i) q^{51} +(-4.26083 - 9.72748i) q^{52} +(2.88331 - 3.51333i) q^{53} +(-2.06592 - 7.05209i) q^{54} +(6.02633 + 1.19871i) q^{55} +(-4.74441 - 0.0895178i) q^{56} +(4.08934 - 13.9734i) q^{57} +(1.10962 - 2.40858i) q^{58} +(-0.303414 - 0.567648i) q^{59} +(4.32189 - 4.58903i) q^{60} +(7.67548 + 0.755969i) q^{61} +(-3.83054 + 11.0555i) q^{62} +(2.87791 + 4.12913i) q^{63} +(7.27029 + 3.33810i) q^{64} -9.66263 q^{65} +(6.01647 - 5.67508i) q^{66} +(-0.0194995 + 0.197982i) q^{67} +(2.07118 - 1.16131i) q^{68} +(-0.131430 - 13.3800i) q^{69} +(-1.80660 + 3.92145i) q^{70} +(-6.77976 + 1.34858i) q^{71} +(-1.66188 - 8.32095i) q^{72} +(-0.818894 + 4.11686i) q^{73} +(-1.53632 - 9.68387i) q^{74} +(1.14567 + 2.69083i) q^{75} +(6.11940 - 15.6586i) q^{76} +(-2.67035 + 4.99587i) q^{77} +(-7.53856 + 10.5990i) q^{78} +(2.06229 + 4.97880i) q^{79} +(5.43615 - 4.84067i) q^{80} +(-6.10907 + 6.60903i) q^{81} +(4.81767 + 2.82203i) q^{82} +(15.1768 - 4.60384i) q^{83} +(2.89199 + 5.04109i) q^{84} +(-0.211769 - 2.15013i) q^{85} +(6.61444 + 10.7876i) q^{86} +(-3.22897 + 0.350082i) q^{87} +(7.49537 - 5.91823i) q^{88} +(-0.0260938 + 0.0390521i) q^{89} +(-7.54161 - 1.65257i) q^{90} +(2.58596 - 8.52476i) q^{91} +(1.20435 - 15.4037i) q^{92} +(14.0264 - 2.93354i) q^{93} +(-0.696536 - 11.7598i) q^{94} +(-10.8164 - 10.8164i) q^{95} +(-1.06858 - 9.73951i) q^{96} +(-11.2985 + 11.2985i) q^{97} +(4.42546 + 3.93054i) q^{98} +(-9.74922 - 2.74946i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{27}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.617502 1.27228i −0.436640 0.899636i
\(3\) −0.948084 + 1.44953i −0.547376 + 0.836887i
\(4\) −1.23738 + 1.57127i −0.618691 + 0.785634i
\(5\) 0.857825 + 1.60488i 0.383631 + 0.717723i 0.997423 0.0717448i \(-0.0228567\pi\)
−0.613792 + 0.789468i \(0.710357\pi\)
\(6\) 2.42965 + 0.311138i 0.991900 + 0.127022i
\(7\) −1.64546 + 0.327303i −0.621927 + 0.123709i −0.495988 0.868329i \(-0.665194\pi\)
−0.125938 + 0.992038i \(0.540194\pi\)
\(8\) 2.76318 + 0.604033i 0.976930 + 0.213558i
\(9\) −1.20227 2.74855i −0.400758 0.916184i
\(10\) 1.51214 2.08241i 0.478181 0.658515i
\(11\) 2.14203 2.61007i 0.645846 0.786965i −0.342446 0.939537i \(-0.611256\pi\)
0.988292 + 0.152572i \(0.0487555\pi\)
\(12\) −1.10446 3.28332i −0.318830 0.947812i
\(13\) −2.50305 + 4.68288i −0.694222 + 1.29880i 0.249602 + 0.968348i \(0.419700\pi\)
−0.943824 + 0.330449i \(0.892800\pi\)
\(14\) 1.43250 + 1.89138i 0.382851 + 0.505492i
\(15\) −3.13961 0.278115i −0.810643 0.0718091i
\(16\) −0.937770 3.88852i −0.234442 0.972130i
\(17\) −1.09689 0.454347i −0.266035 0.110195i 0.245679 0.969351i \(-0.420989\pi\)
−0.511714 + 0.859156i \(0.670989\pi\)
\(18\) −2.75451 + 3.22686i −0.649245 + 0.760579i
\(19\) −8.04397 + 2.44011i −1.84541 + 0.559800i −0.845759 + 0.533566i \(0.820852\pi\)
−0.999656 + 0.0262345i \(0.991648\pi\)
\(20\) −3.58315 0.637974i −0.801217 0.142655i
\(21\) 1.08560 2.69546i 0.236898 0.588197i
\(22\) −4.64344 1.11353i −0.989985 0.237406i
\(23\) −6.42338 + 4.29197i −1.33937 + 0.894937i −0.998971 0.0453445i \(-0.985561\pi\)
−0.340397 + 0.940282i \(0.610561\pi\)
\(24\) −3.49529 + 3.43263i −0.713472 + 0.700683i
\(25\) 0.938084 1.40394i 0.187617 0.280788i
\(26\) 7.50356 + 0.292889i 1.47157 + 0.0574403i
\(27\) 5.12396 + 0.863124i 0.986108 + 0.166108i
\(28\) 1.52179 2.99046i 0.287591 0.565145i
\(29\) 1.18960 + 1.44953i 0.220903 + 0.269171i 0.871656 0.490119i \(-0.163047\pi\)
−0.650753 + 0.759290i \(0.725547\pi\)
\(30\) 1.58487 + 4.16619i 0.289357 + 0.760639i
\(31\) −5.85015 5.85015i −1.05072 1.05072i −0.998643 0.0520753i \(-0.983416\pi\)
−0.0520753 0.998643i \(-0.516584\pi\)
\(32\) −4.36820 + 3.59427i −0.772197 + 0.635384i
\(33\) 1.75255 + 5.57950i 0.305080 + 0.971266i
\(34\) 0.0992767 + 1.67611i 0.0170258 + 0.287451i
\(35\) −1.93680 2.36000i −0.327379 0.398912i
\(36\) 5.80639 + 1.51191i 0.967731 + 0.251986i
\(37\) 6.63463 + 2.01259i 1.09073 + 0.330868i 0.783894 0.620895i \(-0.213231\pi\)
0.306833 + 0.951763i \(0.400731\pi\)
\(38\) 8.07167 + 8.72740i 1.30940 + 1.41577i
\(39\) −4.41487 8.06801i −0.706945 1.29192i
\(40\) 1.40092 + 4.95271i 0.221505 + 0.783093i
\(41\) −3.28266 + 2.19340i −0.512665 + 0.342552i −0.784843 0.619695i \(-0.787256\pi\)
0.272177 + 0.962247i \(0.412256\pi\)
\(42\) −4.09973 + 0.283265i −0.632603 + 0.0437087i
\(43\) −8.90461 + 0.877028i −1.35794 + 0.133745i −0.750632 0.660721i \(-0.770251\pi\)
−0.607308 + 0.794466i \(0.707751\pi\)
\(44\) 1.45061 + 6.59536i 0.218688 + 0.994287i
\(45\) 3.37975 4.28728i 0.503823 0.639110i
\(46\) 9.42703 + 5.52203i 1.38994 + 0.814179i
\(47\) 7.69592 + 3.18775i 1.12256 + 0.464982i 0.865247 0.501345i \(-0.167161\pi\)
0.257317 + 0.966327i \(0.417161\pi\)
\(48\) 6.52561 + 2.32732i 0.941891 + 0.335919i
\(49\) −3.86673 + 1.60165i −0.552391 + 0.228808i
\(50\) −2.36547 0.326567i −0.334528 0.0461835i
\(51\) 1.69854 1.15922i 0.237843 0.162323i
\(52\) −4.26083 9.72748i −0.590871 1.34896i
\(53\) 2.88331 3.51333i 0.396053 0.482593i −0.536358 0.843990i \(-0.680200\pi\)
0.932412 + 0.361398i \(0.117700\pi\)
\(54\) −2.06592 7.05209i −0.281137 0.959668i
\(55\) 6.02633 + 1.19871i 0.812590 + 0.161634i
\(56\) −4.74441 0.0895178i −0.633998 0.0119623i
\(57\) 4.08934 13.9734i 0.541647 1.85082i
\(58\) 1.10962 2.40858i 0.145701 0.316263i
\(59\) −0.303414 0.567648i −0.0395011 0.0739014i 0.861396 0.507934i \(-0.169590\pi\)
−0.900897 + 0.434032i \(0.857090\pi\)
\(60\) 4.32189 4.58903i 0.557953 0.592441i
\(61\) 7.67548 + 0.755969i 0.982745 + 0.0967919i 0.576608 0.817021i \(-0.304376\pi\)
0.406136 + 0.913813i \(0.366876\pi\)
\(62\) −3.83054 + 11.0555i −0.486479 + 1.40405i
\(63\) 2.87791 + 4.12913i 0.362582 + 0.520222i
\(64\) 7.27029 + 3.33810i 0.908786 + 0.417262i
\(65\) −9.66263 −1.19850
\(66\) 6.01647 5.67508i 0.740576 0.698555i
\(67\) −0.0194995 + 0.197982i −0.00238224 + 0.0241873i −0.996302 0.0859163i \(-0.972618\pi\)
0.993920 + 0.110104i \(0.0351183\pi\)
\(68\) 2.07118 1.16131i 0.251167 0.140830i
\(69\) −0.131430 13.3800i −0.0158223 1.61077i
\(70\) −1.80660 + 3.92145i −0.215929 + 0.468703i
\(71\) −6.77976 + 1.34858i −0.804610 + 0.160047i −0.580228 0.814454i \(-0.697036\pi\)
−0.224382 + 0.974501i \(0.572036\pi\)
\(72\) −1.66188 8.32095i −0.195855 0.980633i
\(73\) −0.818894 + 4.11686i −0.0958442 + 0.481842i 0.902813 + 0.430034i \(0.141498\pi\)
−0.998657 + 0.0518078i \(0.983502\pi\)
\(74\) −1.53632 9.68387i −0.178594 1.12573i
\(75\) 1.14567 + 2.69083i 0.132291 + 0.310711i
\(76\) 6.11940 15.6586i 0.701943 1.79616i
\(77\) −2.67035 + 4.99587i −0.304314 + 0.569332i
\(78\) −7.53856 + 10.5990i −0.853574 + 1.20010i
\(79\) 2.06229 + 4.97880i 0.232025 + 0.560159i 0.996415 0.0845952i \(-0.0269597\pi\)
−0.764390 + 0.644754i \(0.776960\pi\)
\(80\) 5.43615 4.84067i 0.607781 0.541204i
\(81\) −6.10907 + 6.60903i −0.678786 + 0.734336i
\(82\) 4.81767 + 2.82203i 0.532023 + 0.311641i
\(83\) 15.1768 4.60384i 1.66587 0.505337i 0.690024 0.723786i \(-0.257600\pi\)
0.975848 + 0.218450i \(0.0700999\pi\)
\(84\) 2.89199 + 5.04109i 0.315542 + 0.550028i
\(85\) −0.211769 2.15013i −0.0229696 0.233214i
\(86\) 6.61444 + 10.7876i 0.713253 + 1.16325i
\(87\) −3.22897 + 0.350082i −0.346182 + 0.0375328i
\(88\) 7.49537 5.91823i 0.799009 0.630885i
\(89\) −0.0260938 + 0.0390521i −0.00276594 + 0.00413952i −0.832850 0.553499i \(-0.813292\pi\)
0.830084 + 0.557638i \(0.188292\pi\)
\(90\) −7.54161 1.65257i −0.794956 0.174197i
\(91\) 2.58596 8.52476i 0.271082 0.893638i
\(92\) 1.20435 15.4037i 0.125562 1.60594i
\(93\) 14.0264 2.93354i 1.45447 0.304194i
\(94\) −0.696536 11.7598i −0.0718422 1.21293i
\(95\) −10.8164 10.8164i −1.10974 1.10974i
\(96\) −1.06858 9.73951i −0.109062 0.994035i
\(97\) −11.2985 + 11.2985i −1.14719 + 1.14719i −0.160084 + 0.987103i \(0.551177\pi\)
−0.987103 + 0.160084i \(0.948823\pi\)
\(98\) 4.42546 + 3.93054i 0.447039 + 0.397044i
\(99\) −9.74922 2.74946i −0.979833 0.276331i
\(100\) 1.04520 + 3.21119i 0.104520 + 0.321119i
\(101\) −6.58065 1.99622i −0.654799 0.198631i −0.0546330 0.998506i \(-0.517399\pi\)
−0.600166 + 0.799875i \(0.704899\pi\)
\(102\) −2.52370 1.44519i −0.249883 0.143095i
\(103\) 3.60607 + 2.40950i 0.355317 + 0.237415i 0.720398 0.693560i \(-0.243959\pi\)
−0.365082 + 0.930975i \(0.618959\pi\)
\(104\) −9.74499 + 11.4277i −0.955574 + 1.12058i
\(105\) 5.25714 0.569974i 0.513044 0.0556238i
\(106\) −6.25038 1.49889i −0.607090 0.145585i
\(107\) 0.893397 0.0879919i 0.0863679 0.00850650i −0.0547409 0.998501i \(-0.517433\pi\)
0.141109 + 0.989994i \(0.454933\pi\)
\(108\) −7.69650 + 6.98311i −0.740596 + 0.671950i
\(109\) 0.710494 + 2.34218i 0.0680530 + 0.224341i 0.984370 0.176113i \(-0.0563525\pi\)
−0.916317 + 0.400454i \(0.868852\pi\)
\(110\) −2.19618 8.40737i −0.209397 0.801611i
\(111\) −9.20750 + 7.70899i −0.873937 + 0.731705i
\(112\) 2.81579 + 6.09148i 0.266067 + 0.575591i
\(113\) 5.06314 2.09722i 0.476301 0.197290i −0.131601 0.991303i \(-0.542012\pi\)
0.607901 + 0.794013i \(0.292012\pi\)
\(114\) −20.3032 + 3.42583i −1.90157 + 0.320858i
\(115\) −12.3982 6.62699i −1.15614 0.617970i
\(116\) −3.74958 + 0.0755557i −0.348140 + 0.00701517i
\(117\) 15.8805 + 1.24966i 1.46815 + 0.115531i
\(118\) −0.534847 + 0.736550i −0.0492366 + 0.0678050i
\(119\) 1.95360 + 0.388596i 0.179087 + 0.0356225i
\(120\) −8.50730 2.66491i −0.776606 0.243272i
\(121\) −0.0781819 0.393047i −0.00710745 0.0357316i
\(122\) −3.77782 10.2322i −0.342028 0.926376i
\(123\) −0.0671672 6.83785i −0.00605626 0.616548i
\(124\) 16.4310 1.95328i 1.47555 0.175410i
\(125\) 12.1128 + 1.19301i 1.08340 + 0.106706i
\(126\) 3.47629 6.21125i 0.309693 0.553342i
\(127\) 2.21941i 0.196941i −0.995140 0.0984704i \(-0.968605\pi\)
0.995140 0.0984704i \(-0.0313950\pi\)
\(128\) −0.242429 11.3111i −0.0214279 0.999770i
\(129\) 7.17104 13.7390i 0.631375 1.20965i
\(130\) 5.96669 + 12.2935i 0.523313 + 1.07822i
\(131\) −0.863079 + 8.76298i −0.0754075 + 0.765625i 0.880908 + 0.473288i \(0.156933\pi\)
−0.956315 + 0.292337i \(0.905567\pi\)
\(132\) −10.9355 4.15024i −0.951810 0.361232i
\(133\) 12.4374 6.64793i 1.07846 0.576449i
\(134\) 0.263929 0.0974453i 0.0228000 0.00841799i
\(135\) 3.01025 + 8.96374i 0.259081 + 0.771476i
\(136\) −2.75646 1.91800i −0.236365 0.164467i
\(137\) 2.75626 13.8566i 0.235483 1.18385i −0.664283 0.747481i \(-0.731263\pi\)
0.899766 0.436372i \(-0.143737\pi\)
\(138\) −16.9420 + 8.42941i −1.44220 + 0.717559i
\(139\) 12.2064 + 10.0175i 1.03533 + 0.849673i 0.988800 0.149244i \(-0.0476841\pi\)
0.0465288 + 0.998917i \(0.485184\pi\)
\(140\) 6.10475 0.123013i 0.515946 0.0103965i
\(141\) −11.9171 + 8.13320i −1.00360 + 0.684939i
\(142\) 5.90229 + 7.79299i 0.495309 + 0.653974i
\(143\) 6.86103 + 16.5640i 0.573748 + 1.38515i
\(144\) −9.56034 + 7.25258i −0.796695 + 0.604381i
\(145\) −1.30585 + 3.15260i −0.108445 + 0.261809i
\(146\) 5.74345 1.50031i 0.475332 0.124166i
\(147\) 1.34434 7.12345i 0.110880 0.587532i
\(148\) −11.3719 + 7.93444i −0.934764 + 0.652207i
\(149\) 1.07456 + 10.9102i 0.0880315 + 0.893799i 0.933214 + 0.359321i \(0.116992\pi\)
−0.845183 + 0.534478i \(0.820508\pi\)
\(150\) 2.71603 3.11921i 0.221763 0.254683i
\(151\) 8.55472 + 12.8030i 0.696174 + 1.04190i 0.996126 + 0.0879430i \(0.0280293\pi\)
−0.299952 + 0.953954i \(0.596971\pi\)
\(152\) −23.7008 + 1.88364i −1.92239 + 0.152783i
\(153\) 0.0699674 + 3.56111i 0.00565653 + 0.287899i
\(154\) 8.00507 + 0.312465i 0.645067 + 0.0251791i
\(155\) 4.37037 14.4072i 0.351037 1.15721i
\(156\) 18.1399 + 3.04626i 1.45235 + 0.243896i
\(157\) 2.16720 1.77858i 0.172961 0.141946i −0.543930 0.839131i \(-0.683064\pi\)
0.716891 + 0.697185i \(0.245564\pi\)
\(158\) 5.06095 5.69822i 0.402628 0.453326i
\(159\) 2.35905 + 7.51038i 0.187085 + 0.595612i
\(160\) −9.51552 3.92717i −0.752268 0.310470i
\(161\) 9.16467 9.16467i 0.722277 0.722277i
\(162\) 12.1809 + 3.69135i 0.957021 + 0.290020i
\(163\) −3.16423 + 2.59681i −0.247841 + 0.203398i −0.750109 0.661314i \(-0.769999\pi\)
0.502268 + 0.864712i \(0.332499\pi\)
\(164\) 0.615480 7.87202i 0.0480609 0.614702i
\(165\) −7.45103 + 7.59886i −0.580062 + 0.591571i
\(166\) −15.2291 16.4663i −1.18201 1.27803i
\(167\) 17.2025 + 11.4944i 1.33117 + 0.889461i 0.998562 0.0536040i \(-0.0170709\pi\)
0.332610 + 0.943065i \(0.392071\pi\)
\(168\) 4.62785 6.79229i 0.357047 0.524037i
\(169\) −8.44168 12.6339i −0.649360 0.971836i
\(170\) −2.60479 + 1.59714i −0.199778 + 0.122495i
\(171\) 16.3778 + 19.1756i 1.25244 + 1.46639i
\(172\) 9.64036 15.0768i 0.735071 1.14959i
\(173\) 5.47607 + 18.0522i 0.416338 + 1.37248i 0.875108 + 0.483927i \(0.160790\pi\)
−0.458770 + 0.888555i \(0.651710\pi\)
\(174\) 2.43930 + 3.89197i 0.184923 + 0.295050i
\(175\) −1.08407 + 2.61717i −0.0819479 + 0.197840i
\(176\) −12.1580 5.88168i −0.916446 0.443348i
\(177\) 1.11048 + 0.0983698i 0.0834691 + 0.00739393i
\(178\) 0.0657982 + 0.00908380i 0.00493178 + 0.000680859i
\(179\) −13.5154 7.22413i −1.01019 0.539957i −0.118666 0.992934i \(-0.537862\pi\)
−0.891522 + 0.452977i \(0.850362\pi\)
\(180\) 2.55443 + 10.6155i 0.190396 + 0.791232i
\(181\) −8.80209 7.22369i −0.654254 0.536933i 0.247660 0.968847i \(-0.420338\pi\)
−0.901915 + 0.431914i \(0.857838\pi\)
\(182\) −12.4427 + 1.97400i −0.922315 + 0.146323i
\(183\) −8.37280 + 10.4091i −0.618935 + 0.769464i
\(184\) −20.3414 + 7.97953i −1.49959 + 0.588259i
\(185\) 2.46138 + 12.3742i 0.180965 + 0.909770i
\(186\) −12.3936 16.0340i −0.908744 1.17567i
\(187\) −3.53545 + 1.88974i −0.258538 + 0.138191i
\(188\) −14.5316 + 8.14788i −1.05983 + 0.594245i
\(189\) −8.71380 + 0.256849i −0.633836 + 0.0186830i
\(190\) −7.08232 + 20.4406i −0.513805 + 1.48292i
\(191\) 6.69976i 0.484777i 0.970179 + 0.242389i \(0.0779309\pi\)
−0.970179 + 0.242389i \(0.922069\pi\)
\(192\) −11.7315 + 7.37370i −0.846649 + 0.532151i
\(193\) 4.56182i 0.328367i −0.986430 0.164183i \(-0.947501\pi\)
0.986430 0.164183i \(-0.0524989\pi\)
\(194\) 21.3517 + 7.39798i 1.53296 + 0.531144i
\(195\) 9.16098 14.0063i 0.656031 1.00301i
\(196\) 2.26800 8.05754i 0.162000 0.575538i
\(197\) −4.45139 + 2.37932i −0.317148 + 0.169519i −0.622288 0.782788i \(-0.713797\pi\)
0.305140 + 0.952308i \(0.401297\pi\)
\(198\) 2.52209 + 14.1015i 0.179237 + 1.00215i
\(199\) −0.831696 4.18122i −0.0589574 0.296399i 0.940045 0.341050i \(-0.110782\pi\)
−0.999003 + 0.0446509i \(0.985782\pi\)
\(200\) 3.44012 3.31271i 0.243253 0.234244i
\(201\) −0.268493 0.215968i −0.0189380 0.0152332i
\(202\) 1.52382 + 9.60509i 0.107216 + 0.675812i
\(203\) −2.43187 1.99579i −0.170684 0.140077i
\(204\) −0.280295 + 4.10325i −0.0196246 + 0.287285i
\(205\) −6.33609 3.38671i −0.442532 0.236538i
\(206\) 0.838797 6.07579i 0.0584417 0.423321i
\(207\) 19.5194 + 12.4949i 1.35669 + 0.868454i
\(208\) 20.5568 + 5.34170i 1.42535 + 0.370380i
\(209\) −10.8616 + 26.2221i −0.751310 + 1.81382i
\(210\) −3.97146 6.33658i −0.274057 0.437265i
\(211\) −1.23609 4.07486i −0.0850962 0.280525i 0.904057 0.427412i \(-0.140575\pi\)
−0.989153 + 0.146887i \(0.953075\pi\)
\(212\) 1.95262 + 8.87779i 0.134106 + 0.609729i
\(213\) 4.47298 11.1060i 0.306483 0.760973i
\(214\) −0.663625 1.08231i −0.0453644 0.0739855i
\(215\) −9.04612 13.5385i −0.616940 0.923316i
\(216\) 13.6371 + 5.48001i 0.927885 + 0.372867i
\(217\) 11.5410 + 7.71144i 0.783453 + 0.523487i
\(218\) 2.54118 2.35025i 0.172110 0.159179i
\(219\) −5.19113 5.09014i −0.350784 0.343959i
\(220\) −9.34037 + 7.98571i −0.629727 + 0.538397i
\(221\) 4.87323 3.99936i 0.327809 0.269026i
\(222\) 15.4936 + 6.95418i 1.03986 + 0.466734i
\(223\) −10.4578 + 10.4578i −0.700305 + 0.700305i −0.964476 0.264171i \(-0.914902\pi\)
0.264171 + 0.964476i \(0.414902\pi\)
\(224\) 6.01130 7.34397i 0.401647 0.490690i
\(225\) −4.98664 0.890449i −0.332443 0.0593633i
\(226\) −5.79475 5.14669i −0.385461 0.342353i
\(227\) −7.33836 + 6.02244i −0.487064 + 0.399723i −0.845620 0.533785i \(-0.820769\pi\)
0.358556 + 0.933508i \(0.383269\pi\)
\(228\) 16.8959 + 23.7159i 1.11896 + 1.57062i
\(229\) 0.189861 0.625888i 0.0125464 0.0413598i −0.950444 0.310897i \(-0.899371\pi\)
0.962990 + 0.269537i \(0.0868706\pi\)
\(230\) −0.775443 + 19.8662i −0.0511312 + 1.30994i
\(231\) −4.70995 8.60725i −0.309892 0.566315i
\(232\) 2.41150 + 4.72386i 0.158323 + 0.310136i
\(233\) −1.65456 2.47622i −0.108394 0.162223i 0.773307 0.634032i \(-0.218601\pi\)
−0.881701 + 0.471809i \(0.843601\pi\)
\(234\) −8.21632 20.9761i −0.537118 1.37125i
\(235\) 1.48580 + 15.0855i 0.0969226 + 0.984072i
\(236\) 1.26737 + 0.225652i 0.0824985 + 0.0146887i
\(237\) −9.17215 1.73097i −0.595795 0.112439i
\(238\) −0.711953 2.72549i −0.0461490 0.176667i
\(239\) 2.77956 6.71046i 0.179795 0.434064i −0.808128 0.589006i \(-0.799519\pi\)
0.987923 + 0.154943i \(0.0495193\pi\)
\(240\) 1.86277 + 12.4692i 0.120241 + 0.804886i
\(241\) −5.39916 13.0347i −0.347790 0.839640i −0.996880 0.0789284i \(-0.974850\pi\)
0.649090 0.760712i \(-0.275150\pi\)
\(242\) −0.451788 + 0.342177i −0.0290420 + 0.0219959i
\(243\) −3.78807 15.1212i −0.243005 0.970025i
\(244\) −10.6853 + 11.1248i −0.684059 + 0.712194i
\(245\) −5.88744 4.83169i −0.376135 0.308686i
\(246\) −8.65816 + 4.30784i −0.552024 + 0.274658i
\(247\) 8.70773 43.7767i 0.554059 2.78544i
\(248\) −12.6313 19.6987i −0.802090 1.25087i
\(249\) −7.71550 + 26.3641i −0.488950 + 1.67076i
\(250\) −5.96185 16.1475i −0.377060 1.02126i
\(251\) 22.6244 12.0930i 1.42804 0.763302i 0.437329 0.899301i \(-0.355924\pi\)
0.990709 + 0.135999i \(0.0434244\pi\)
\(252\) −10.0490 0.587351i −0.633031 0.0369996i
\(253\) −2.55674 + 25.9590i −0.160741 + 1.63203i
\(254\) −2.82371 + 1.37049i −0.177175 + 0.0859922i
\(255\) 3.31745 + 1.73153i 0.207747 + 0.108433i
\(256\) −14.2412 + 7.29307i −0.890074 + 0.455817i
\(257\) 7.85417i 0.489930i −0.969532 0.244965i \(-0.921224\pi\)
0.969532 0.244965i \(-0.0787764\pi\)
\(258\) −21.9080 0.639696i −1.36393 0.0398258i
\(259\) −11.5758 1.14011i −0.719283 0.0708432i
\(260\) 11.9564 15.1826i 0.741502 0.941584i
\(261\) 2.55388 5.01240i 0.158081 0.310260i
\(262\) 11.6819 4.31308i 0.721710 0.266463i
\(263\) −2.87218 14.4394i −0.177106 0.890372i −0.962480 0.271351i \(-0.912530\pi\)
0.785374 0.619021i \(-0.212470\pi\)
\(264\) 1.47241 + 16.4757i 0.0906205 + 1.01401i
\(265\) 8.11183 + 1.61354i 0.498306 + 0.0991192i
\(266\) −16.1381 11.7187i −0.989493 0.718521i
\(267\) −0.0318681 0.0748485i −0.00195030 0.00458065i
\(268\) −0.286954 0.275618i −0.0175285 0.0168360i
\(269\) 0.172638 + 0.0922767i 0.0105259 + 0.00562621i 0.476651 0.879092i \(-0.341850\pi\)
−0.466125 + 0.884719i \(0.654350\pi\)
\(270\) 9.54553 9.36501i 0.580923 0.569936i
\(271\) −6.42238 + 2.66024i −0.390132 + 0.161598i −0.569122 0.822253i \(-0.692717\pi\)
0.178990 + 0.983851i \(0.442717\pi\)
\(272\) −0.738107 + 4.69136i −0.0447543 + 0.284455i
\(273\) 9.90519 + 11.8306i 0.599490 + 0.716021i
\(274\) −19.3315 + 5.04978i −1.16786 + 0.305068i
\(275\) −1.65498 5.45575i −0.0997992 0.328994i
\(276\) 21.1863 + 16.3497i 1.27526 + 0.984137i
\(277\) −18.4874 + 1.82085i −1.11080 + 0.109404i −0.636733 0.771084i \(-0.719715\pi\)
−0.474067 + 0.880489i \(0.657215\pi\)
\(278\) 5.20759 21.7157i 0.312330 1.30242i
\(279\) −9.04596 + 23.1129i −0.541567 + 1.38374i
\(280\) −3.92620 7.69098i −0.234636 0.459624i
\(281\) −18.2322 12.1824i −1.08764 0.726738i −0.123557 0.992337i \(-0.539430\pi\)
−0.964084 + 0.265599i \(0.914430\pi\)
\(282\) 17.7065 + 10.1396i 1.05441 + 0.603805i
\(283\) 25.4859 + 7.73106i 1.51498 + 0.459564i 0.934874 0.354979i \(-0.115512\pi\)
0.580104 + 0.814543i \(0.303012\pi\)
\(284\) 6.27018 12.3215i 0.372067 0.731149i
\(285\) 25.9336 5.42384i 1.53617 0.321281i
\(286\) 16.8373 18.9574i 0.995611 1.12098i
\(287\) 4.68359 4.68359i 0.276464 0.276464i
\(288\) 15.1308 + 7.68493i 0.891592 + 0.452839i
\(289\) −11.0241 11.0241i −0.648475 0.648475i
\(290\) 4.81734 0.285333i 0.282884 0.0167553i
\(291\) −5.66558 27.0894i −0.332122 1.58801i
\(292\) −5.45540 6.38083i −0.319253 0.373410i
\(293\) −7.45630 + 24.5801i −0.435602 + 1.43599i 0.414828 + 0.909900i \(0.363842\pi\)
−0.850430 + 0.526088i \(0.823658\pi\)
\(294\) −9.89314 + 2.68837i −0.576980 + 0.156789i
\(295\) 0.650729 0.973884i 0.0378869 0.0567017i
\(296\) 17.1170 + 9.56868i 0.994904 + 0.556168i
\(297\) 13.2285 11.5251i 0.767595 0.668752i
\(298\) 13.2173 8.10421i 0.765656 0.469464i
\(299\) −4.02071 40.8230i −0.232524 2.36085i
\(300\) −5.64566 1.52943i −0.325952 0.0883017i
\(301\) 14.3652 4.35762i 0.827994 0.251169i
\(302\) 11.0065 18.7899i 0.633352 1.08124i
\(303\) 9.13259 7.64627i 0.524653 0.439267i
\(304\) 17.0318 + 28.9909i 0.976842 + 1.66274i
\(305\) 5.37098 + 12.9667i 0.307541 + 0.742471i
\(306\) 4.48752 2.28801i 0.256535 0.130797i
\(307\) −14.2324 + 26.6270i −0.812288 + 1.51968i 0.0415442 + 0.999137i \(0.486772\pi\)
−0.853833 + 0.520548i \(0.825728\pi\)
\(308\) −4.54561 10.3776i −0.259010 0.591320i
\(309\) −6.91150 + 2.94270i −0.393181 + 0.167404i
\(310\) −21.0287 + 3.33614i −1.19435 + 0.189480i
\(311\) 1.47820 7.43139i 0.0838208 0.421396i −0.915976 0.401233i \(-0.868582\pi\)
0.999797 0.0201624i \(-0.00641832\pi\)
\(312\) −7.32573 24.9601i −0.414738 1.41309i
\(313\) −21.8930 + 4.35479i −1.23747 + 0.246147i −0.770104 0.637919i \(-0.779796\pi\)
−0.467362 + 0.884066i \(0.654796\pi\)
\(314\) −3.60109 1.65901i −0.203221 0.0936232i
\(315\) −4.15801 + 8.16076i −0.234277 + 0.459807i
\(316\) −10.3749 2.92028i −0.583632 0.164278i
\(317\) −0.367629 + 3.73260i −0.0206481 + 0.209644i 0.979325 + 0.202294i \(0.0648396\pi\)
−0.999973 + 0.00734993i \(0.997660\pi\)
\(318\) 8.09857 7.63904i 0.454145 0.428376i
\(319\) 6.33152 0.354497
\(320\) 0.879395 + 14.5314i 0.0491597 + 0.812331i
\(321\) −0.719468 + 1.37843i −0.0401568 + 0.0769364i
\(322\) −17.3192 6.00081i −0.965162 0.334412i
\(323\) 9.93203 + 0.978219i 0.552633 + 0.0544296i
\(324\) −2.82530 17.7769i −0.156961 0.987605i
\(325\) 4.22642 + 7.90707i 0.234439 + 0.438605i
\(326\) 5.25779 + 2.42224i 0.291202 + 0.134155i
\(327\) −4.06867 1.19071i −0.224998 0.0658461i
\(328\) −10.3955 + 4.07793i −0.573993 + 0.225166i
\(329\) −13.7067 2.72643i −0.755675 0.150313i
\(330\) 14.2689 + 4.78747i 0.785476 + 0.263541i
\(331\) −0.611628 + 0.745270i −0.0336181 + 0.0409638i −0.789548 0.613689i \(-0.789685\pi\)
0.755930 + 0.654652i \(0.227185\pi\)
\(332\) −11.5457 + 29.5436i −0.633651 + 1.62141i
\(333\) −2.44493 20.6553i −0.133981 1.13190i
\(334\) 4.00143 28.9842i 0.218948 1.58594i
\(335\) −0.334463 + 0.138539i −0.0182737 + 0.00756921i
\(336\) −11.4994 1.69366i −0.627343 0.0923969i
\(337\) −11.2478 4.65898i −0.612705 0.253791i 0.0546796 0.998504i \(-0.482586\pi\)
−0.667385 + 0.744713i \(0.732586\pi\)
\(338\) −10.8610 + 18.5416i −0.590763 + 1.00853i
\(339\) −1.76030 + 9.32752i −0.0956062 + 0.506601i
\(340\) 3.64047 + 2.32778i 0.197432 + 0.126242i
\(341\) −27.8005 + 2.73811i −1.50548 + 0.148277i
\(342\) 14.2833 32.6781i 0.772354 1.76703i
\(343\) 15.6030 10.4256i 0.842485 0.562930i
\(344\) −25.1348 2.95529i −1.35518 0.159339i
\(345\) 21.3606 11.6887i 1.15001 0.629296i
\(346\) 19.5859 18.1143i 1.05295 0.973833i
\(347\) 12.2172 + 3.70606i 0.655856 + 0.198952i 0.600636 0.799523i \(-0.294914\pi\)
0.0552197 + 0.998474i \(0.482414\pi\)
\(348\) 3.44540 5.50677i 0.184693 0.295194i
\(349\) −1.00259 1.22166i −0.0536676 0.0653941i 0.745485 0.666523i \(-0.232218\pi\)
−0.799152 + 0.601128i \(0.794718\pi\)
\(350\) 3.99919 0.236873i 0.213765 0.0126614i
\(351\) −16.8675 + 21.8345i −0.900318 + 1.16544i
\(352\) 0.0244841 + 19.1003i 0.00130500 + 1.01805i
\(353\) −5.57536 5.57536i −0.296747 0.296747i 0.542991 0.839738i \(-0.317292\pi\)
−0.839738 + 0.542991i \(0.817292\pi\)
\(354\) −0.560572 1.47359i −0.0297941 0.0783203i
\(355\) −7.98015 9.72384i −0.423543 0.516088i
\(356\) −0.0290734 0.0893228i −0.00154089 0.00473410i
\(357\) −2.41546 + 2.46339i −0.127840 + 0.130376i
\(358\) −0.845316 + 21.6563i −0.0446763 + 1.14457i
\(359\) 11.2306 16.8078i 0.592730 0.887084i −0.406922 0.913463i \(-0.633398\pi\)
0.999652 + 0.0263795i \(0.00839783\pi\)
\(360\) 11.9285 9.80503i 0.628687 0.516770i
\(361\) 42.9535 28.7006i 2.26071 1.51056i
\(362\) −3.75523 + 15.6593i −0.197371 + 0.823037i
\(363\) 0.643857 + 0.259315i 0.0337937 + 0.0136105i
\(364\) 10.1949 + 14.6116i 0.534357 + 0.765857i
\(365\) −7.30952 + 2.21732i −0.382598 + 0.116060i
\(366\) 18.4135 + 4.22488i 0.962490 + 0.220838i
\(367\) 14.4127 + 5.96994i 0.752337 + 0.311628i 0.725695 0.688017i \(-0.241518\pi\)
0.0266424 + 0.999645i \(0.491518\pi\)
\(368\) 22.7131 + 20.9526i 1.18400 + 1.09223i
\(369\) 9.97534 + 6.38549i 0.519296 + 0.332415i
\(370\) 14.2235 10.7727i 0.739446 0.560044i
\(371\) −3.59446 + 6.72477i −0.186615 + 0.349133i
\(372\) −12.7467 + 25.6692i −0.660883 + 1.33088i
\(373\) 4.16685 5.07732i 0.215751 0.262894i −0.653877 0.756601i \(-0.726859\pi\)
0.869628 + 0.493707i \(0.164359\pi\)
\(374\) 4.58742 + 3.33116i 0.237210 + 0.172250i
\(375\) −13.2133 + 16.4268i −0.682330 + 0.848277i
\(376\) 19.3397 + 13.4569i 0.997367 + 0.693987i
\(377\) −9.76559 + 1.94250i −0.502953 + 0.100044i
\(378\) 5.70757 + 10.9278i 0.293566 + 0.562064i
\(379\) −10.3803 19.4203i −0.533202 0.997551i −0.993930 0.110010i \(-0.964912\pi\)
0.460728 0.887541i \(-0.347588\pi\)
\(380\) 30.3795 3.61145i 1.55844 0.185263i
\(381\) 3.21710 + 2.10419i 0.164817 + 0.107801i
\(382\) 8.52395 4.13711i 0.436123 0.211673i
\(383\) −37.9545 −1.93938 −0.969692 0.244331i \(-0.921432\pi\)
−0.969692 + 0.244331i \(0.921432\pi\)
\(384\) 16.6256 + 10.3725i 0.848424 + 0.529318i
\(385\) −10.3084 −0.525367
\(386\) −5.80390 + 2.81693i −0.295411 + 0.143378i
\(387\) 13.1163 + 23.4204i 0.666741 + 1.19052i
\(388\) −3.77241 31.7335i −0.191515 1.61103i
\(389\) 4.15867 + 7.78032i 0.210853 + 0.394478i 0.965009 0.262217i \(-0.0844537\pi\)
−0.754156 + 0.656695i \(0.771954\pi\)
\(390\) −23.4768 3.00641i −1.18879 0.152236i
\(391\) 8.99580 1.78938i 0.454937 0.0904926i
\(392\) −11.6519 + 2.09002i −0.588511 + 0.105562i
\(393\) −11.8839 9.55910i −0.599465 0.482193i
\(394\) 5.77590 + 4.19417i 0.290985 + 0.211299i
\(395\) −6.22129 + 7.58066i −0.313027 + 0.381424i
\(396\) 16.3836 11.9165i 0.823309 0.598827i
\(397\) −9.81204 + 18.3570i −0.492452 + 0.921314i 0.505825 + 0.862636i \(0.331188\pi\)
−0.998277 + 0.0586772i \(0.981312\pi\)
\(398\) −4.80610 + 3.64006i −0.240908 + 0.182460i
\(399\) −2.15533 + 24.3312i −0.107901 + 1.21808i
\(400\) −6.33896 2.33118i −0.316948 0.116559i
\(401\) 0.197343 + 0.0817420i 0.00985482 + 0.00408200i 0.387605 0.921825i \(-0.373302\pi\)
−0.377751 + 0.925907i \(0.623302\pi\)
\(402\) −0.108977 + 0.474959i −0.00543526 + 0.0236888i
\(403\) 42.0388 12.7523i 2.09410 0.635239i
\(404\) 11.2794 7.86988i 0.561170 0.391541i
\(405\) −15.8472 4.13492i −0.787453 0.205466i
\(406\) −1.03751 + 4.32642i −0.0514907 + 0.214717i
\(407\) 19.4646 13.0058i 0.964823 0.644674i
\(408\) 5.39356 2.17715i 0.267021 0.107785i
\(409\) 9.11498 13.6415i 0.450707 0.674530i −0.534643 0.845078i \(-0.679554\pi\)
0.985349 + 0.170548i \(0.0545538\pi\)
\(410\) −0.396289 + 10.1526i −0.0195713 + 0.501400i
\(411\) 17.4725 + 17.1325i 0.861853 + 0.845086i
\(412\) −8.24806 + 2.68463i −0.406353 + 0.132262i
\(413\) 0.685049 + 0.834735i 0.0337091 + 0.0410746i
\(414\) 3.84371 32.5497i 0.188908 1.59973i
\(415\) 20.4076 + 20.4076i 1.00177 + 1.00177i
\(416\) −5.89771 29.4524i −0.289159 1.44402i
\(417\) −26.0933 + 8.19605i −1.27779 + 0.401362i
\(418\) 40.0689 2.37329i 1.95983 0.116082i
\(419\) 21.6098 + 26.3317i 1.05571 + 1.28639i 0.956630 + 0.291307i \(0.0940901\pi\)
0.0990805 + 0.995079i \(0.468410\pi\)
\(420\) −5.60951 + 8.96565i −0.273716 + 0.437479i
\(421\) −7.43906 2.25662i −0.362558 0.109981i 0.103750 0.994603i \(-0.466916\pi\)
−0.466307 + 0.884623i \(0.654416\pi\)
\(422\) −4.42106 + 4.08889i −0.215214 + 0.199044i
\(423\) −0.490899 24.9852i −0.0238683 1.21482i
\(424\) 10.0893 7.96633i 0.489978 0.386879i
\(425\) −1.66685 + 1.11376i −0.0808543 + 0.0540251i
\(426\) −16.8920 + 1.16713i −0.818422 + 0.0565476i
\(427\) −12.8772 + 1.26829i −0.623169 + 0.0613768i
\(428\) −0.967215 + 1.51265i −0.0467521 + 0.0731165i
\(429\) −30.5148 5.75879i −1.47327 0.278037i
\(430\) −11.6387 + 19.8692i −0.561268 + 0.958178i
\(431\) −0.919288 0.380782i −0.0442806 0.0183416i 0.360433 0.932785i \(-0.382629\pi\)
−0.404714 + 0.914443i \(0.632629\pi\)
\(432\) −1.44882 20.7341i −0.0697065 0.997568i
\(433\) −25.3896 + 10.5167i −1.22015 + 0.505401i −0.897456 0.441103i \(-0.854587\pi\)
−0.322690 + 0.946505i \(0.604587\pi\)
\(434\) 2.68451 19.4452i 0.128861 0.933398i
\(435\) −3.33173 4.88179i −0.159744 0.234064i
\(436\) −4.55935 1.78180i −0.218353 0.0853328i
\(437\) 41.1967 50.1983i 1.97070 2.40131i
\(438\) −3.27054 + 9.74773i −0.156272 + 0.465764i
\(439\) 12.8008 + 2.54623i 0.610947 + 0.121525i 0.490860 0.871239i \(-0.336683\pi\)
0.120087 + 0.992763i \(0.461683\pi\)
\(440\) 15.9277 + 6.95235i 0.759325 + 0.331440i
\(441\) 9.05110 + 8.70229i 0.431005 + 0.414395i
\(442\) −8.09752 3.73049i −0.385160 0.177441i
\(443\) −3.42378 6.40545i −0.162669 0.304332i 0.787360 0.616493i \(-0.211447\pi\)
−0.950029 + 0.312161i \(0.898947\pi\)
\(444\) −0.719694 24.0064i −0.0341551 1.13929i
\(445\) −0.0850578 0.00837746i −0.00403213 0.000397130i
\(446\) 19.7629 + 6.84750i 0.935801 + 0.324239i
\(447\) −16.8334 8.78618i −0.796194 0.415572i
\(448\) −13.0556 3.11313i −0.616817 0.147082i
\(449\) 23.6993 1.11844 0.559219 0.829020i \(-0.311101\pi\)
0.559219 + 0.829020i \(0.311101\pi\)
\(450\) 1.94636 + 6.89425i 0.0917524 + 0.324998i
\(451\) −1.30662 + 13.2663i −0.0615262 + 0.624686i
\(452\) −2.96975 + 10.5506i −0.139685 + 0.496260i
\(453\) −26.6690 + 0.261966i −1.25302 + 0.0123082i
\(454\) 12.1937 + 5.61757i 0.572277 + 0.263646i
\(455\) 15.8995 3.16261i 0.745380 0.148265i
\(456\) 19.7400 36.1409i 0.924409 1.69245i
\(457\) −3.41521 + 17.1694i −0.159757 + 0.803151i 0.814927 + 0.579563i \(0.196777\pi\)
−0.974684 + 0.223588i \(0.928223\pi\)
\(458\) −0.913543 + 0.144931i −0.0426870 + 0.00677218i
\(459\) −5.22828 3.27481i −0.244035 0.152855i
\(460\) 25.7541 11.2808i 1.20079 0.525971i
\(461\) 10.3365 19.3382i 0.481418 0.900669i −0.517568 0.855642i \(-0.673163\pi\)
0.998986 0.0450270i \(-0.0143374\pi\)
\(462\) −8.04241 + 11.3074i −0.374167 + 0.526066i
\(463\) −0.319301 0.770860i −0.0148392 0.0358249i 0.916286 0.400524i \(-0.131172\pi\)
−0.931125 + 0.364699i \(0.881172\pi\)
\(464\) 4.52095 5.98509i 0.209880 0.277851i
\(465\) 16.7402 + 19.9942i 0.776307 + 0.927209i
\(466\) −2.12875 + 3.63413i −0.0986124 + 0.168348i
\(467\) −9.03590 + 2.74101i −0.418132 + 0.126839i −0.492338 0.870404i \(-0.663858\pi\)
0.0742064 + 0.997243i \(0.476358\pi\)
\(468\) −21.6138 + 23.4062i −0.999098 + 1.08195i
\(469\) −0.0327143 0.332154i −0.00151061 0.0153374i
\(470\) 18.2755 11.2057i 0.842986 0.516880i
\(471\) 0.523411 + 4.82766i 0.0241175 + 0.222447i
\(472\) −0.495509 1.75178i −0.0228076 0.0806323i
\(473\) −16.7848 + 25.1203i −0.771767 + 1.15503i
\(474\) 3.46154 + 12.7384i 0.158994 + 0.585094i
\(475\) −4.12015 + 13.5823i −0.189045 + 0.623199i
\(476\) −3.02794 + 2.58880i −0.138786 + 0.118657i
\(477\) −13.1231 3.70095i −0.600865 0.169455i
\(478\) −10.2540 + 0.607345i −0.469005 + 0.0277793i
\(479\) −20.1808 20.1808i −0.922085 0.922085i 0.0750920 0.997177i \(-0.476075\pi\)
−0.997177 + 0.0750920i \(0.976075\pi\)
\(480\) 14.7141 10.0697i 0.671602 0.459619i
\(481\) −26.0315 + 26.0315i −1.18694 + 1.18694i
\(482\) −13.2498 + 14.9182i −0.603512 + 0.679505i
\(483\) 4.59559 + 21.9733i 0.209107 + 0.999822i
\(484\) 0.714323 + 0.363505i 0.0324692 + 0.0165229i
\(485\) −27.8248 8.44056i −1.26346 0.383266i
\(486\) −16.8992 + 14.1568i −0.766564 + 0.642168i
\(487\) −17.0440 11.3885i −0.772340 0.516061i 0.105845 0.994383i \(-0.466245\pi\)
−0.878185 + 0.478322i \(0.841245\pi\)
\(488\) 20.7521 + 6.72512i 0.939403 + 0.304432i
\(489\) −0.764208 7.04864i −0.0345587 0.318751i
\(490\) −2.51175 + 10.4740i −0.113469 + 0.473169i
\(491\) −42.5994 + 4.19567i −1.92248 + 0.189348i −0.986622 0.163022i \(-0.947876\pi\)
−0.935861 + 0.352370i \(0.885376\pi\)
\(492\) 10.8272 + 8.35549i 0.488128 + 0.376695i
\(493\) −0.646270 2.13047i −0.0291065 0.0959513i
\(494\) −61.0732 + 15.9536i −2.74781 + 0.717784i
\(495\) −3.95058 18.0048i −0.177565 0.809258i
\(496\) −17.2623 + 28.2345i −0.775102 + 1.26777i
\(497\) 10.7145 4.43807i 0.480609 0.199075i
\(498\) 38.3068 6.46362i 1.71657 0.289642i
\(499\) −10.1139 5.40601i −0.452762 0.242006i 0.229221 0.973374i \(-0.426382\pi\)
−0.681983 + 0.731368i \(0.738882\pi\)
\(500\) −16.8627 + 17.5563i −0.754123 + 0.785140i
\(501\) −32.9709 + 14.0380i −1.47303 + 0.627170i
\(502\) −29.3562 21.3171i −1.31023 0.951427i
\(503\) −4.80853 0.956476i −0.214402 0.0426472i 0.0867206 0.996233i \(-0.472361\pi\)
−0.301122 + 0.953586i \(0.597361\pi\)
\(504\) 5.45804 + 13.1479i 0.243120 + 0.585653i
\(505\) −2.44136 12.2735i −0.108639 0.546165i
\(506\) 34.6059 12.7769i 1.53842 0.568000i
\(507\) 26.3166 0.258504i 1.16876 0.0114806i
\(508\) 3.48729 + 2.74626i 0.154723 + 0.121846i
\(509\) 37.3709 + 3.68071i 1.65644 + 0.163145i 0.882562 0.470195i \(-0.155816\pi\)
0.773874 + 0.633340i \(0.218316\pi\)
\(510\) 0.154463 5.28994i 0.00683972 0.234243i
\(511\) 7.04216i 0.311527i
\(512\) 18.0728 + 13.6152i 0.798711 + 0.601715i
\(513\) −43.3232 + 5.56010i −1.91276 + 0.245485i
\(514\) −9.99269 + 4.84997i −0.440758 + 0.213923i
\(515\) −0.773574 + 7.85423i −0.0340877 + 0.346099i
\(516\) 12.7143 + 28.2680i 0.559717 + 1.24443i
\(517\) 24.8051 13.2586i 1.09093 0.583113i
\(518\) 5.69752 + 15.4316i 0.250335 + 0.678026i
\(519\) −31.3590 9.17726i −1.37651 0.402837i
\(520\) −26.6995 5.83654i −1.17085 0.255949i
\(521\) −3.64488 + 18.3240i −0.159685 + 0.802790i 0.815044 + 0.579399i \(0.196713\pi\)
−0.974729 + 0.223391i \(0.928287\pi\)
\(522\) −7.95419 0.154080i −0.348145 0.00674388i
\(523\) 24.5739 + 20.1673i 1.07454 + 0.881855i 0.993383 0.114846i \(-0.0366376\pi\)
0.0811598 + 0.996701i \(0.474138\pi\)
\(524\) −12.7010 12.1993i −0.554848 0.532928i
\(525\) −2.76588 4.05269i −0.120713 0.176874i
\(526\) −16.5974 + 12.5706i −0.723680 + 0.548103i
\(527\) 3.75898 + 9.07499i 0.163744 + 0.395313i
\(528\) 20.0525 12.0471i 0.872673 0.524283i
\(529\) 14.0372 33.8887i 0.610311 1.47342i
\(530\) −2.95620 11.3169i −0.128409 0.491574i
\(531\) −1.19542 + 1.51642i −0.0518769 + 0.0658069i
\(532\) −4.94414 + 27.7685i −0.214356 + 1.20392i
\(533\) −2.05478 20.8625i −0.0890023 0.903655i
\(534\) −0.0755494 + 0.0867642i −0.00326934 + 0.00375465i
\(535\) 0.907594 + 1.35831i 0.0392387 + 0.0587249i
\(536\) −0.173468 + 0.535280i −0.00749267 + 0.0231206i
\(537\) 23.2853 12.7419i 1.00484 0.549853i
\(538\) 0.0107976 0.276624i 0.000465516 0.0119261i
\(539\) −4.10223 + 13.5232i −0.176695 + 0.582487i
\(540\) −17.8093 6.36166i −0.766390 0.273762i
\(541\) 2.63016 2.15852i 0.113079 0.0928019i −0.576154 0.817341i \(-0.695447\pi\)
0.689234 + 0.724539i \(0.257947\pi\)
\(542\) 7.35040 + 6.52835i 0.315727 + 0.280417i
\(543\) 18.8161 5.91023i 0.807475 0.253632i
\(544\) 6.42449 1.95785i 0.275448 0.0839419i
\(545\) −3.14944 + 3.14944i −0.134907 + 0.134907i
\(546\) 8.93535 19.9076i 0.382398 0.851966i
\(547\) −0.842902 + 0.691752i −0.0360399 + 0.0295772i −0.652241 0.758012i \(-0.726171\pi\)
0.616201 + 0.787589i \(0.288671\pi\)
\(548\) 18.3620 + 21.4768i 0.784384 + 0.917443i
\(549\) −7.15021 22.0053i −0.305164 0.939165i
\(550\) −5.91927 + 5.47453i −0.252399 + 0.233435i
\(551\) −13.1061 8.75722i −0.558339 0.373070i
\(552\) 7.71881 37.0508i 0.328535 1.57699i
\(553\) −5.02300 7.51745i −0.213600 0.319674i
\(554\) 13.7326 + 22.3967i 0.583444 + 0.951546i
\(555\) −20.2704 8.16394i −0.860430 0.346540i
\(556\) −30.8441 + 6.78398i −1.30808 + 0.287705i
\(557\) 0.460226 + 1.51716i 0.0195004 + 0.0642843i 0.966151 0.257979i \(-0.0830565\pi\)
−0.946650 + 0.322263i \(0.895556\pi\)
\(558\) 34.9920 2.76331i 1.48133 0.116980i
\(559\) 18.1817 43.8945i 0.769003 1.85654i
\(560\) −7.36063 + 9.74442i −0.311043 + 0.411777i
\(561\) 0.612672 6.91637i 0.0258670 0.292009i
\(562\) −4.24093 + 30.7190i −0.178893 + 1.29580i
\(563\) 23.6334 + 12.6323i 0.996030 + 0.532389i 0.887059 0.461656i \(-0.152744\pi\)
0.108971 + 0.994045i \(0.465244\pi\)
\(564\) 1.96658 28.7889i 0.0828080 1.21223i
\(565\) 7.70908 + 6.32667i 0.324323 + 0.266165i
\(566\) −5.90153 37.1991i −0.248060 1.56359i
\(567\) 7.88910 12.8744i 0.331311 0.540675i
\(568\) −19.5483 0.368838i −0.820227 0.0154761i
\(569\) 4.79664 + 24.1143i 0.201085 + 1.01092i 0.941047 + 0.338276i \(0.109844\pi\)
−0.739962 + 0.672649i \(0.765156\pi\)
\(570\) −22.9147 29.6455i −0.959789 1.24171i
\(571\) −10.4448 + 5.58284i −0.437099 + 0.233635i −0.675243 0.737595i \(-0.735961\pi\)
0.238143 + 0.971230i \(0.423461\pi\)
\(572\) −34.5162 9.71548i −1.44320 0.406224i
\(573\) −9.71150 6.35193i −0.405704 0.265356i
\(574\) −8.85096 3.06670i −0.369432 0.128002i
\(575\) 13.0443i 0.543984i
\(576\) 0.434054 23.9961i 0.0180856 0.999836i
\(577\) 44.1257i 1.83698i −0.395447 0.918489i \(-0.629410\pi\)
0.395447 0.918489i \(-0.370590\pi\)
\(578\) −7.21830 + 20.8331i −0.300242 + 0.866542i
\(579\) 6.61249 + 4.32498i 0.274806 + 0.179740i
\(580\) −3.33774 5.95281i −0.138592 0.247177i
\(581\) −23.4661 + 12.5429i −0.973536 + 0.520366i
\(582\) −30.9668 + 23.9360i −1.28361 + 0.992178i
\(583\) −2.99389 15.0513i −0.123994 0.623361i
\(584\) −4.74946 + 10.8810i −0.196534 + 0.450257i
\(585\) 11.6171 + 26.5582i 0.480309 + 1.09805i
\(586\) 35.8771 5.69180i 1.48207 0.235126i
\(587\) 0.0900184 + 0.0738762i 0.00371546 + 0.00304920i 0.636249 0.771484i \(-0.280485\pi\)
−0.632534 + 0.774533i \(0.717985\pi\)
\(588\) 9.52938 + 10.9268i 0.392985 + 0.450612i
\(589\) 61.3335 + 32.7834i 2.52720 + 1.35082i
\(590\) −1.64088 0.226532i −0.0675539 0.00932618i
\(591\) 0.771399 8.70822i 0.0317311 0.358208i
\(592\) 1.60425 27.6862i 0.0659344 1.13790i
\(593\) 7.84183 18.9319i 0.322025 0.777438i −0.677111 0.735881i \(-0.736768\pi\)
0.999136 0.0415569i \(-0.0132318\pi\)
\(594\) −22.8317 9.71357i −0.936796 0.398553i
\(595\) 1.05220 + 3.46864i 0.0431360 + 0.142200i
\(596\) −18.4725 11.8117i −0.756663 0.483825i
\(597\) 6.84932 + 2.75858i 0.280324 + 0.112901i
\(598\) −49.4553 + 30.3237i −2.02238 + 1.24003i
\(599\) 16.8125 + 25.1616i 0.686938 + 1.02808i 0.997003 + 0.0773604i \(0.0246492\pi\)
−0.310065 + 0.950715i \(0.600351\pi\)
\(600\) 1.54035 + 8.12728i 0.0628843 + 0.331795i
\(601\) −0.884014 0.590679i −0.0360597 0.0240943i 0.537410 0.843321i \(-0.319403\pi\)
−0.573469 + 0.819227i \(0.694403\pi\)
\(602\) −14.4146 15.5856i −0.587496 0.635223i
\(603\) 0.567606 0.184433i 0.0231147 0.00751069i
\(604\) −30.7025 2.40050i −1.24927 0.0976749i
\(605\) 0.563726 0.462638i 0.0229187 0.0188089i
\(606\) −15.3676 6.89760i −0.624265 0.280196i
\(607\) 0.159412 0.159412i 0.00647034 0.00647034i −0.703864 0.710335i \(-0.748544\pi\)
0.710335 + 0.703864i \(0.248544\pi\)
\(608\) 26.3673 39.5711i 1.06933 1.60482i
\(609\) 5.19857 1.63290i 0.210657 0.0661684i
\(610\) 13.1806 14.8403i 0.533669 0.600868i
\(611\) −34.1911 + 28.0599i −1.38323 + 1.13518i
\(612\) −5.68204 4.29652i −0.229683 0.173677i
\(613\) −13.2615 + 43.7172i −0.535625 + 1.76572i 0.101366 + 0.994849i \(0.467679\pi\)
−0.636992 + 0.770871i \(0.719821\pi\)
\(614\) 42.6655 + 1.66538i 1.72184 + 0.0672092i
\(615\) 10.9163 5.97347i 0.440187 0.240873i
\(616\) −10.3963 + 12.1915i −0.418879 + 0.491209i
\(617\) 4.96926 + 7.43702i 0.200055 + 0.299403i 0.917910 0.396790i \(-0.129876\pi\)
−0.717855 + 0.696193i \(0.754876\pi\)
\(618\) 8.01180 + 6.97622i 0.322282 + 0.280625i
\(619\) −0.657175 6.67241i −0.0264141 0.268187i −0.999316 0.0369701i \(-0.988229\pi\)
0.972902 0.231217i \(-0.0742706\pi\)
\(620\) 17.2297 + 24.6942i 0.691963 + 0.991744i
\(621\) −36.6177 + 16.4477i −1.46942 + 0.660024i
\(622\) −10.3676 + 2.70822i −0.415702 + 0.108590i
\(623\) 0.0301545 0.0727995i 0.00120812 0.00291665i
\(624\) −27.2325 + 24.7333i −1.09017 + 0.990123i
\(625\) 5.24522 + 12.6631i 0.209809 + 0.506523i
\(626\) 19.0595 + 25.1649i 0.761770 + 1.00579i
\(627\) −27.7121 40.6049i −1.10671 1.62160i
\(628\) 0.112964 + 5.60603i 0.00450775 + 0.223705i
\(629\) −6.36305 5.22202i −0.253712 0.208216i
\(630\) 12.9503 + 0.250859i 0.515954 + 0.00999447i
\(631\) 2.13224 10.7195i 0.0848833 0.426737i −0.914853 0.403786i \(-0.867694\pi\)
0.999737 0.0229508i \(-0.00730610\pi\)
\(632\) 2.69110 + 15.0030i 0.107046 + 0.596787i
\(633\) 7.07855 + 2.07155i 0.281347 + 0.0823367i
\(634\) 4.97592 1.83716i 0.197619 0.0729630i
\(635\) 3.56188 1.90386i 0.141349 0.0755526i
\(636\) −14.7199 5.58651i −0.583681 0.221519i
\(637\) 2.17828 22.1165i 0.0863067 0.876286i
\(638\) −3.90973 8.05545i −0.154788 0.318918i
\(639\) 11.8578 + 17.0132i 0.469086 + 0.673031i
\(640\) 17.9450 10.0920i 0.709338 0.398922i
\(641\) 31.7287i 1.25321i −0.779337 0.626605i \(-0.784444\pi\)
0.779337 0.626605i \(-0.215556\pi\)
\(642\) 2.19802 + 0.0641806i 0.0867489 + 0.00253300i
\(643\) −1.54344 0.152015i −0.0608673 0.00599490i 0.0675377 0.997717i \(-0.478486\pi\)
−0.128405 + 0.991722i \(0.540986\pi\)
\(644\) 3.05996 + 25.7404i 0.120579 + 1.01431i
\(645\) 28.2009 0.277013i 1.11041 0.0109074i
\(646\) −4.88848 13.2404i −0.192335 0.520935i
\(647\) 7.08322 + 35.6097i 0.278470 + 1.39996i 0.826232 + 0.563329i \(0.190480\pi\)
−0.547762 + 0.836634i \(0.684520\pi\)
\(648\) −20.8725 + 14.5718i −0.819950 + 0.572435i
\(649\) −2.13152 0.423986i −0.0836695 0.0166429i
\(650\) 7.45017 10.2598i 0.292220 0.402423i
\(651\) −22.1198 + 9.41791i −0.866943 + 0.369117i
\(652\) −0.164933 8.18510i −0.00645929 0.320553i
\(653\) −17.8600 9.54639i −0.698917 0.373579i 0.0833515 0.996520i \(-0.473438\pi\)
−0.782269 + 0.622941i \(0.785938\pi\)
\(654\) 0.997507 + 5.91175i 0.0390056 + 0.231168i
\(655\) −14.8039 + 6.13197i −0.578435 + 0.239596i
\(656\) 11.6075 + 10.7078i 0.453196 + 0.418069i
\(657\) 12.2999 2.69882i 0.479866 0.105291i
\(658\) 4.99514 + 19.1223i 0.194731 + 0.745466i
\(659\) −1.24127 4.09190i −0.0483528 0.159398i 0.929439 0.368975i \(-0.120291\pi\)
−0.977792 + 0.209577i \(0.932791\pi\)
\(660\) −2.72008 21.1103i −0.105879 0.821716i
\(661\) 5.44864 0.536644i 0.211927 0.0208730i 0.00850380 0.999964i \(-0.497293\pi\)
0.203424 + 0.979091i \(0.434793\pi\)
\(662\) 1.32587 + 0.317954i 0.0515315 + 0.0123576i
\(663\) 1.17696 + 10.8556i 0.0457092 + 0.421597i
\(664\) 44.7171 3.55392i 1.73536 0.137919i
\(665\) 21.3382 + 14.2578i 0.827461 + 0.552892i
\(666\) −24.7695 + 15.8653i −0.959800 + 0.614769i
\(667\) −13.8626 4.20516i −0.536761 0.162825i
\(668\) −39.3468 + 12.8069i −1.52238 + 0.495513i
\(669\) −5.24402 25.0737i −0.202745 0.969406i
\(670\) 0.382792 + 0.339982i 0.0147886 + 0.0131347i
\(671\) 18.4142 18.4142i 0.710874 0.710874i
\(672\) 4.94609 + 15.6763i 0.190799 + 0.604725i
\(673\) 28.5651 + 28.5651i 1.10111 + 1.10111i 0.994278 + 0.106828i \(0.0340694\pi\)
0.106828 + 0.994278i \(0.465931\pi\)
\(674\) 1.01801 + 17.1872i 0.0392121 + 0.662027i
\(675\) 6.01848 6.38406i 0.231652 0.245723i
\(676\) 30.2968 + 2.36878i 1.16526 + 0.0911069i
\(677\) 2.68486 8.85080i 0.103188 0.340164i −0.890110 0.455745i \(-0.849373\pi\)
0.993298 + 0.115581i \(0.0368730\pi\)
\(678\) 12.9542 3.52018i 0.497503 0.135192i
\(679\) 14.8932 22.2893i 0.571549 0.855384i
\(680\) 0.713592 6.06909i 0.0273650 0.232739i
\(681\) −1.77232 16.3470i −0.0679156 0.626417i
\(682\) 20.6505 + 33.6792i 0.790749 + 1.28964i
\(683\) 3.92292 + 39.8300i 0.150106 + 1.52405i 0.715137 + 0.698984i \(0.246364\pi\)
−0.565031 + 0.825070i \(0.691136\pi\)
\(684\) −50.3957 + 2.00644i −1.92693 + 0.0767183i
\(685\) 24.6026 7.46312i 0.940017 0.285151i
\(686\) −22.8992 13.4136i −0.874295 0.512132i
\(687\) 0.727239 + 0.868603i 0.0277459 + 0.0331393i
\(688\) 11.7608 + 33.8033i 0.448377 + 1.28874i
\(689\) 9.23541 + 22.2962i 0.351841 + 0.849419i
\(690\) −28.0614 19.9588i −1.06828 0.759819i
\(691\) 14.8132 27.7135i 0.563519 1.05427i −0.425287 0.905059i \(-0.639827\pi\)
0.988805 0.149211i \(-0.0476733\pi\)
\(692\) −35.1408 13.7331i −1.33585 0.522053i
\(693\) 16.9419 + 1.33318i 0.643569 + 0.0506434i
\(694\) −2.82903 17.8322i −0.107389 0.676902i
\(695\) −5.60594 + 28.1829i −0.212645 + 1.06904i
\(696\) −9.13368 0.983065i −0.346211 0.0372630i
\(697\) 4.59729 0.914458i 0.174135 0.0346376i
\(698\) −0.935191 + 2.02996i −0.0353975 + 0.0768350i
\(699\) 5.15802 0.0506665i 0.195094 0.00191638i
\(700\) −2.77087 4.94181i −0.104729 0.186783i
\(701\) −3.44692 + 34.9971i −0.130188 + 1.32182i 0.678941 + 0.734193i \(0.262439\pi\)
−0.809129 + 0.587631i \(0.800061\pi\)
\(702\) 38.1952 + 7.97726i 1.44158 + 0.301082i
\(703\) −58.2797 −2.19806
\(704\) 24.2858 11.8257i 0.915307 0.445696i
\(705\) −23.2756 12.1486i −0.876609 0.457544i
\(706\) −3.65061 + 10.5362i −0.137393 + 0.396536i
\(707\) 11.4816 + 1.13084i 0.431810 + 0.0425295i
\(708\) −1.52866 + 1.62315i −0.0574505 + 0.0610016i
\(709\) −5.24727 9.81695i −0.197065 0.368683i 0.763908 0.645326i \(-0.223278\pi\)
−0.960973 + 0.276642i \(0.910778\pi\)
\(710\) −7.44367 + 16.1575i −0.279356 + 0.606379i
\(711\) 11.2051 11.6542i 0.420223 0.437066i
\(712\) −0.0956906 + 0.0921465i −0.00358616 + 0.00345333i
\(713\) 62.6865 + 12.4691i 2.34763 + 0.466972i
\(714\) 4.62567 + 1.55199i 0.173111 + 0.0580819i
\(715\) −20.6976 + 25.2201i −0.774047 + 0.943179i
\(716\) 28.0748 12.2973i 1.04920 0.459572i
\(717\) 7.09175 + 10.3911i 0.264846 + 0.388064i
\(718\) −28.3192 3.90962i −1.05686 0.145906i
\(719\) 3.88081 1.60748i 0.144730 0.0599491i −0.309143 0.951016i \(-0.600042\pi\)
0.453873 + 0.891067i \(0.350042\pi\)
\(720\) −19.8406 9.12174i −0.739415 0.339947i
\(721\) −6.72229 2.78447i −0.250351 0.103699i
\(722\) −63.0390 36.9261i −2.34607 1.37425i
\(723\) 24.0131 + 4.53176i 0.893056 + 0.168538i
\(724\) 22.2419 4.89198i 0.826614 0.181809i
\(725\) 3.15099 0.310346i 0.117025 0.0115260i
\(726\) −0.0676626 0.979292i −0.00251120 0.0363449i
\(727\) −35.0209 + 23.4002i −1.29885 + 0.867867i −0.996357 0.0852834i \(-0.972820\pi\)
−0.302498 + 0.953150i \(0.597820\pi\)
\(728\) 12.2947 21.9934i 0.455672 0.815130i
\(729\) 25.5100 + 8.84524i 0.944816 + 0.327601i
\(730\) 7.33468 + 7.93054i 0.271469 + 0.293522i
\(731\) 10.1659 + 3.08378i 0.375998 + 0.114058i
\(732\) −5.99517 26.0360i −0.221588 0.962317i
\(733\) −7.94836 9.68511i −0.293580 0.357728i 0.605243 0.796041i \(-0.293076\pi\)
−0.898822 + 0.438313i \(0.855576\pi\)
\(734\) −1.30446 22.0234i −0.0481483 0.812899i
\(735\) 12.5855 3.95317i 0.464222 0.145815i
\(736\) 12.6321 41.8356i 0.465627 1.54208i
\(737\) 0.474977 + 0.474977i 0.0174960 + 0.0174960i
\(738\) 1.96432 16.6345i 0.0723077 0.612323i
\(739\) −5.13129 6.25250i −0.188758 0.230002i 0.670029 0.742335i \(-0.266281\pi\)
−0.858787 + 0.512333i \(0.828781\pi\)
\(740\) −22.4889 11.4441i −0.826708 0.420695i
\(741\) 55.2000 + 54.1261i 2.02782 + 1.98837i
\(742\) 10.7754 + 0.420598i 0.395576 + 0.0154407i
\(743\) 24.8102 37.1311i 0.910199 1.36221i −0.0218054 0.999762i \(-0.506941\pi\)
0.932004 0.362447i \(-0.118059\pi\)
\(744\) 40.5294 + 0.366529i 1.48588 + 0.0134376i
\(745\) −16.5877 + 11.0836i −0.607728 + 0.406071i
\(746\) −9.03280 2.16613i −0.330714 0.0793078i
\(747\) −30.9006 36.1792i −1.13059 1.32373i
\(748\) 1.40542 7.89347i 0.0513872 0.288614i
\(749\) −1.44125 + 0.437199i −0.0526622 + 0.0159749i
\(750\) 29.0587 + 6.66735i 1.06107 + 0.243457i
\(751\) 35.8287 + 14.8407i 1.30741 + 0.541546i 0.924127 0.382087i \(-0.124794\pi\)
0.383280 + 0.923632i \(0.374794\pi\)
\(752\) 5.17864 32.9151i 0.188846 1.20029i
\(753\) −3.92067 + 44.2599i −0.142877 + 1.61292i
\(754\) 8.50166 + 11.2250i 0.309612 + 0.408792i
\(755\) −13.2089 + 24.7121i −0.480720 + 0.899364i
\(756\) 10.3787 14.0095i 0.377471 0.509522i
\(757\) 13.0397 15.8889i 0.473935 0.577491i −0.480090 0.877219i \(-0.659396\pi\)
0.954025 + 0.299728i \(0.0968960\pi\)
\(758\) −18.2981 + 25.1987i −0.664616 + 0.915259i
\(759\) −35.2043 28.3174i −1.27784 1.02786i
\(760\) −23.3542 36.4211i −0.847145 1.32113i
\(761\) −47.3674 + 9.42196i −1.71707 + 0.341546i −0.952856 0.303422i \(-0.901871\pi\)
−0.764210 + 0.644967i \(0.776871\pi\)
\(762\) 0.690544 5.39239i 0.0250158 0.195346i
\(763\) −1.93570 3.62143i −0.0700769 0.131105i
\(764\) −10.5271 8.29016i −0.380858 0.299927i
\(765\) −5.65513 + 3.16710i −0.204462 + 0.114507i
\(766\) 23.4370 + 48.2887i 0.846812 + 1.74474i
\(767\) 3.41769 0.123405
\(768\) 2.93030 27.5575i 0.105738 0.994394i
\(769\) 44.8088 1.61585 0.807924 0.589287i \(-0.200591\pi\)
0.807924 + 0.589287i \(0.200591\pi\)
\(770\) 6.36548 + 13.1152i 0.229396 + 0.472639i
\(771\) 11.3849 + 7.44641i 0.410015 + 0.268176i
\(772\) 7.16784 + 5.64471i 0.257976 + 0.203158i
\(773\) −15.1111 28.2709i