Properties

Label 552.2.bb.a.13.3
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.3
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37613 - 0.325998i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.78745 + 0.897229i) q^{4} +(0.902350 + 0.412090i) q^{5} +(1.01824 - 0.981424i) q^{6} +(-3.01070 - 0.884022i) q^{7} +(-2.16726 - 1.81741i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.37613 - 0.325998i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.78745 + 0.897229i) q^{4} +(0.902350 + 0.412090i) q^{5} +(1.01824 - 0.981424i) q^{6} +(-3.01070 - 0.884022i) q^{7} +(-2.16726 - 1.81741i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-1.10741 - 0.861252i) q^{10} +(2.49850 + 2.16496i) q^{11} +(-1.72117 + 1.01862i) q^{12} +(-0.168470 - 0.573755i) q^{13} +(3.85492 + 2.19801i) q^{14} +(-0.834519 + 0.536313i) q^{15} +(2.38996 + 3.20751i) q^{16} +(1.03373 + 7.18972i) q^{17} +(0.275125 + 1.38719i) q^{18} +(-2.99071 - 0.429999i) q^{19} +(1.24317 + 1.54621i) q^{20} +(2.37140 - 2.05483i) q^{21} +(-2.73247 - 3.79376i) q^{22} +(-4.32781 + 2.06641i) q^{23} +(2.70061 - 0.840654i) q^{24} +(-2.62989 - 3.03505i) q^{25} +(0.0447926 + 0.844481i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-4.58831 - 4.28144i) q^{28} +(3.65492 - 0.525498i) q^{29} +(1.32324 - 0.465983i) q^{30} +(-4.15121 + 2.66782i) q^{31} +(-2.24325 - 5.19306i) q^{32} +(-3.17207 + 0.931403i) q^{33} +(0.921298 - 10.2310i) q^{34} +(-2.35241 - 2.03838i) q^{35} +(0.0736148 - 1.99864i) q^{36} +(1.10676 - 0.505438i) q^{37} +(3.97541 + 1.56670i) q^{38} +(0.573755 + 0.168470i) q^{39} +(-1.20670 - 2.53304i) q^{40} +(-1.87780 + 4.11180i) q^{41} +(-3.93321 + 2.05463i) q^{42} +(-2.11759 + 3.29503i) q^{43} +(2.52347 + 6.11148i) q^{44} -0.991995i q^{45} +(6.62926 - 1.43278i) q^{46} -10.7244 q^{47} +(-3.99044 + 0.276452i) q^{48} +(2.39407 + 1.53857i) q^{49} +(2.62964 + 5.03395i) q^{50} +(-6.60726 - 3.01743i) q^{51} +(0.213659 - 1.17672i) q^{52} +(-3.26973 + 11.1357i) q^{53} +(-1.31573 - 0.518523i) q^{54} +(1.36236 + 2.98316i) q^{55} +(4.91836 + 7.38758i) q^{56} +(1.97864 - 2.28347i) q^{57} +(-5.20094 - 0.468344i) q^{58} +(2.63930 + 8.98864i) q^{59} +(-1.97286 + 0.209878i) q^{60} +(-1.77984 - 2.76949i) q^{61} +(6.58229 - 2.31797i) q^{62} +(0.446557 + 3.10587i) q^{63} +(1.39406 + 7.87760i) q^{64} +(0.0844199 - 0.587153i) q^{65} +(4.66880 - 0.247641i) q^{66} +(-11.3100 + 9.80020i) q^{67} +(-4.60310 + 13.7788i) q^{68} +(0.601418 - 4.75797i) q^{69} +(2.57271 + 3.57195i) q^{70} +(-7.25737 - 8.37545i) q^{71} +(-0.752858 + 2.72639i) q^{72} +(0.343119 - 2.38644i) q^{73} +(-1.68781 + 0.334747i) q^{74} +(3.97507 - 0.571529i) q^{75} +(-4.95993 - 3.45195i) q^{76} +(-5.60836 - 8.72678i) q^{77} +(-0.734639 - 0.418879i) q^{78} +(7.19940 - 2.11394i) q^{79} +(0.834800 + 3.87917i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(3.92453 - 5.04620i) q^{82} +(13.8813 - 6.33937i) q^{83} +(6.08240 - 1.54521i) q^{84} +(-2.03003 + 6.91364i) q^{85} +(3.98824 - 3.84405i) q^{86} +(-1.53392 + 3.35882i) q^{87} +(-1.48029 - 9.23282i) q^{88} +(7.20463 + 4.63013i) q^{89} +(-0.323388 + 1.36511i) q^{90} +1.87634i q^{91} +(-9.58979 - 0.189437i) q^{92} -4.93455i q^{93} +(14.7582 + 3.49615i) q^{94} +(-2.52147 - 1.62045i) q^{95} +(5.58147 + 0.920441i) q^{96} +(-4.27028 + 9.35060i) q^{97} +(-2.79297 - 2.89773i) q^{98} +(0.931403 - 3.17207i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37613 0.325998i −0.973069 0.230515i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) 1.78745 + 0.897229i 0.893725 + 0.448615i
\(5\) 0.902350 + 0.412090i 0.403543 + 0.184292i 0.606838 0.794826i \(-0.292438\pi\)
−0.203295 + 0.979118i \(0.565165\pi\)
\(6\) 1.01824 0.981424i 0.415694 0.400665i
\(7\) −3.01070 0.884022i −1.13794 0.334129i −0.342116 0.939658i \(-0.611143\pi\)
−0.795823 + 0.605529i \(0.792962\pi\)
\(8\) −2.16726 1.81741i −0.766243 0.642550i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −1.10741 0.861252i −0.350193 0.272352i
\(11\) 2.49850 + 2.16496i 0.753325 + 0.652760i 0.944394 0.328817i \(-0.106650\pi\)
−0.191069 + 0.981577i \(0.561195\pi\)
\(12\) −1.72117 + 1.01862i −0.496858 + 0.294050i
\(13\) −0.168470 0.573755i −0.0467251 0.159131i 0.932826 0.360328i \(-0.117335\pi\)
−0.979551 + 0.201197i \(0.935517\pi\)
\(14\) 3.85492 + 2.19801i 1.03027 + 0.587443i
\(15\) −0.834519 + 0.536313i −0.215472 + 0.138475i
\(16\) 2.38996 + 3.20751i 0.597490 + 0.801877i
\(17\) 1.03373 + 7.18972i 0.250715 + 1.74376i 0.593939 + 0.804510i \(0.297572\pi\)
−0.343223 + 0.939254i \(0.611519\pi\)
\(18\) 0.275125 + 1.38719i 0.0648477 + 0.326965i
\(19\) −2.99071 0.429999i −0.686115 0.0986484i −0.209564 0.977795i \(-0.567204\pi\)
−0.476551 + 0.879147i \(0.658113\pi\)
\(20\) 1.24317 + 1.54621i 0.277981 + 0.345742i
\(21\) 2.37140 2.05483i 0.517481 0.448400i
\(22\) −2.73247 3.79376i −0.582565 0.808833i
\(23\) −4.32781 + 2.06641i −0.902411 + 0.430876i
\(24\) 2.70061 0.840654i 0.551260 0.171598i
\(25\) −2.62989 3.03505i −0.525977 0.607010i
\(26\) 0.0447926 + 0.844481i 0.00878456 + 0.165616i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −4.58831 4.28144i −0.867110 0.809116i
\(29\) 3.65492 0.525498i 0.678701 0.0975825i 0.205661 0.978623i \(-0.434066\pi\)
0.473040 + 0.881041i \(0.343157\pi\)
\(30\) 1.32324 0.465983i 0.241590 0.0850765i
\(31\) −4.15121 + 2.66782i −0.745579 + 0.479154i −0.857449 0.514569i \(-0.827952\pi\)
0.111871 + 0.993723i \(0.464316\pi\)
\(32\) −2.24325 5.19306i −0.396554 0.918012i
\(33\) −3.17207 + 0.931403i −0.552186 + 0.162136i
\(34\) 0.921298 10.2310i 0.158001 1.75460i
\(35\) −2.35241 2.03838i −0.397630 0.344549i
\(36\) 0.0736148 1.99864i 0.0122691 0.333107i
\(37\) 1.10676 0.505438i 0.181949 0.0830935i −0.322357 0.946618i \(-0.604475\pi\)
0.504307 + 0.863524i \(0.331748\pi\)
\(38\) 3.97541 + 1.56670i 0.644897 + 0.254152i
\(39\) 0.573755 + 0.168470i 0.0918744 + 0.0269768i
\(40\) −1.20670 2.53304i −0.190795 0.400510i
\(41\) −1.87780 + 4.11180i −0.293263 + 0.642156i −0.997713 0.0675980i \(-0.978466\pi\)
0.704450 + 0.709754i \(0.251194\pi\)
\(42\) −3.93321 + 2.05463i −0.606908 + 0.317037i
\(43\) −2.11759 + 3.29503i −0.322929 + 0.502487i −0.964324 0.264723i \(-0.914719\pi\)
0.641396 + 0.767210i \(0.278356\pi\)
\(44\) 2.52347 + 6.11148i 0.380428 + 0.921340i
\(45\) 0.991995i 0.147878i
\(46\) 6.62926 1.43278i 0.977432 0.211252i
\(47\) −10.7244 −1.56432 −0.782161 0.623077i \(-0.785882\pi\)
−0.782161 + 0.623077i \(0.785882\pi\)
\(48\) −3.99044 + 0.276452i −0.575970 + 0.0399024i
\(49\) 2.39407 + 1.53857i 0.342010 + 0.219796i
\(50\) 2.62964 + 5.03395i 0.371887 + 0.711908i
\(51\) −6.60726 3.01743i −0.925201 0.422525i
\(52\) 0.213659 1.17672i 0.0296291 0.163181i
\(53\) −3.26973 + 11.1357i −0.449131 + 1.52960i 0.354836 + 0.934928i \(0.384537\pi\)
−0.803968 + 0.594673i \(0.797282\pi\)
\(54\) −1.31573 0.518523i −0.179048 0.0705621i
\(55\) 1.36236 + 2.98316i 0.183701 + 0.402249i
\(56\) 4.91836 + 7.38758i 0.657244 + 0.987207i
\(57\) 1.97864 2.28347i 0.262077 0.302453i
\(58\) −5.20094 0.468344i −0.682917 0.0614966i
\(59\) 2.63930 + 8.98864i 0.343608 + 1.17022i 0.932246 + 0.361825i \(0.117846\pi\)
−0.588638 + 0.808397i \(0.700336\pi\)
\(60\) −1.97286 + 0.209878i −0.254695 + 0.0270951i
\(61\) −1.77984 2.76949i −0.227886 0.354597i 0.708415 0.705796i \(-0.249410\pi\)
−0.936301 + 0.351199i \(0.885774\pi\)
\(62\) 6.58229 2.31797i 0.835952 0.294383i
\(63\) 0.446557 + 3.10587i 0.0562608 + 0.391303i
\(64\) 1.39406 + 7.87760i 0.174258 + 0.984700i
\(65\) 0.0844199 0.587153i 0.0104710 0.0728274i
\(66\) 4.66880 0.247641i 0.574690 0.0304825i
\(67\) −11.3100 + 9.80020i −1.38174 + 1.19729i −0.425409 + 0.905001i \(0.639870\pi\)
−0.956331 + 0.292284i \(0.905585\pi\)
\(68\) −4.60310 + 13.7788i −0.558208 + 1.67092i
\(69\) 0.601418 4.75797i 0.0724022 0.572793i
\(70\) 2.57271 + 3.57195i 0.307498 + 0.426930i
\(71\) −7.25737 8.37545i −0.861291 0.993983i −0.999993 0.00364846i \(-0.998839\pi\)
0.138703 0.990334i \(-0.455707\pi\)
\(72\) −0.752858 + 2.72639i −0.0887251 + 0.321308i
\(73\) 0.343119 2.38644i 0.0401590 0.279312i −0.959840 0.280547i \(-0.909484\pi\)
0.999999 + 0.00123524i \(0.000393188\pi\)
\(74\) −1.68781 + 0.334747i −0.196204 + 0.0389136i
\(75\) 3.97507 0.571529i 0.459001 0.0659944i
\(76\) −4.95993 3.45195i −0.568943 0.395966i
\(77\) −5.60836 8.72678i −0.639132 0.994508i
\(78\) −0.734639 0.418879i −0.0831815 0.0474287i
\(79\) 7.19940 2.11394i 0.809996 0.237836i 0.149593 0.988748i \(-0.452204\pi\)
0.660403 + 0.750911i \(0.270385\pi\)
\(80\) 0.834800 + 3.87917i 0.0933335 + 0.433705i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 3.92453 5.04620i 0.433391 0.557260i
\(83\) 13.8813 6.33937i 1.52367 0.695836i 0.534848 0.844948i \(-0.320369\pi\)
0.988820 + 0.149112i \(0.0476414\pi\)
\(84\) 6.08240 1.54521i 0.663645 0.168597i
\(85\) −2.03003 + 6.91364i −0.220187 + 0.749889i
\(86\) 3.98824 3.84405i 0.430063 0.414514i
\(87\) −1.53392 + 3.35882i −0.164454 + 0.360103i
\(88\) −1.48029 9.23282i −0.157799 0.984222i
\(89\) 7.20463 + 4.63013i 0.763689 + 0.490793i 0.863584 0.504205i \(-0.168214\pi\)
−0.0998949 + 0.994998i \(0.531851\pi\)
\(90\) −0.323388 + 1.36511i −0.0340881 + 0.143895i
\(91\) 1.87634i 0.196694i
\(92\) −9.58979 0.189437i −0.999805 0.0197502i
\(93\) 4.93455i 0.511689i
\(94\) 14.7582 + 3.49615i 1.52219 + 0.360600i
\(95\) −2.52147 1.62045i −0.258697 0.166254i
\(96\) 5.58147 + 0.920441i 0.569656 + 0.0939421i
\(97\) −4.27028 + 9.35060i −0.433581 + 0.949410i 0.559151 + 0.829066i \(0.311127\pi\)
−0.992732 + 0.120344i \(0.961600\pi\)
\(98\) −2.79297 2.89773i −0.282133 0.292715i
\(99\) 0.931403 3.17207i 0.0936095 0.318805i
\(100\) −1.97765 7.78461i −0.197765 0.778461i
\(101\) 9.66785 4.41516i 0.961987 0.439325i 0.128406 0.991722i \(-0.459014\pi\)
0.833581 + 0.552397i \(0.186287\pi\)
\(102\) 8.10874 + 6.30632i 0.802885 + 0.624419i
\(103\) 5.84956 6.75075i 0.576374 0.665171i −0.390447 0.920625i \(-0.627680\pi\)
0.966821 + 0.255454i \(0.0822251\pi\)
\(104\) −0.677629 + 1.54966i −0.0664469 + 0.151956i
\(105\) 2.98660 0.876946i 0.291463 0.0855812i
\(106\) 8.12976 14.2582i 0.789632 1.38488i
\(107\) −1.50024 2.33442i −0.145034 0.225677i 0.761135 0.648594i \(-0.224643\pi\)
−0.906169 + 0.422917i \(0.861006\pi\)
\(108\) 1.64157 + 1.14248i 0.157960 + 0.109935i
\(109\) 6.89481 0.991323i 0.660403 0.0949516i 0.196039 0.980596i \(-0.437192\pi\)
0.464364 + 0.885645i \(0.346283\pi\)
\(110\) −0.902279 4.54933i −0.0860289 0.433761i
\(111\) −0.173155 + 1.20432i −0.0164352 + 0.114309i
\(112\) −4.35995 11.7696i −0.411977 1.11213i
\(113\) −0.809453 0.934158i −0.0761469 0.0878782i 0.716398 0.697692i \(-0.245790\pi\)
−0.792545 + 0.609814i \(0.791244\pi\)
\(114\) −3.46726 + 2.49731i −0.324739 + 0.233894i
\(115\) −4.75675 + 0.0811784i −0.443569 + 0.00756992i
\(116\) 7.00448 + 2.34000i 0.650349 + 0.217263i
\(117\) −0.451921 + 0.391592i −0.0417801 + 0.0362027i
\(118\) −0.701736 13.2299i −0.0646001 1.21791i
\(119\) 3.24363 22.5600i 0.297343 2.06807i
\(120\) 2.78332 + 0.354330i 0.254081 + 0.0323457i
\(121\) −0.0100298 0.0697587i −0.000911799 0.00634170i
\(122\) 1.54644 + 4.39140i 0.140008 + 0.397579i
\(123\) −2.44385 3.80271i −0.220355 0.342879i
\(124\) −9.81372 + 1.04401i −0.881298 + 0.0937547i
\(125\) −2.51975 8.58149i −0.225373 0.767552i
\(126\) 0.397989 4.41965i 0.0354557 0.393733i
\(127\) 6.99257 8.06986i 0.620490 0.716084i −0.355310 0.934749i \(-0.615625\pi\)
0.975800 + 0.218665i \(0.0701701\pi\)
\(128\) 0.649674 11.2950i 0.0574236 0.998350i
\(129\) −1.62710 3.56285i −0.143258 0.313692i
\(130\) −0.307583 + 0.780476i −0.0269768 + 0.0684523i
\(131\) −3.28522 + 11.1884i −0.287031 + 0.977537i 0.682155 + 0.731207i \(0.261043\pi\)
−0.969186 + 0.246330i \(0.920775\pi\)
\(132\) −6.50560 1.18124i −0.566239 0.102813i
\(133\) 8.62400 + 3.93845i 0.747796 + 0.341507i
\(134\) 18.7589 9.79927i 1.62052 0.846528i
\(135\) 0.834519 + 0.536313i 0.0718240 + 0.0461585i
\(136\) 10.8263 17.4607i 0.928347 1.49725i
\(137\) −9.30526 −0.795002 −0.397501 0.917602i \(-0.630122\pi\)
−0.397501 + 0.917602i \(0.630122\pi\)
\(138\) −2.37872 + 6.35151i −0.202490 + 0.540677i
\(139\) 18.7334i 1.58895i 0.607298 + 0.794474i \(0.292253\pi\)
−0.607298 + 0.794474i \(0.707747\pi\)
\(140\) −2.37593 5.75415i −0.200803 0.486315i
\(141\) 5.79807 9.02198i 0.488286 0.759788i
\(142\) 7.25668 + 13.8916i 0.608967 + 1.16575i
\(143\) 0.821236 1.79825i 0.0686752 0.150378i
\(144\) 1.92483 3.50643i 0.160402 0.292202i
\(145\) 3.51457 + 1.03197i 0.291869 + 0.0857005i
\(146\) −1.25015 + 3.17219i −0.103463 + 0.262532i
\(147\) −2.58866 + 1.18220i −0.213509 + 0.0975064i
\(148\) 2.43176 + 0.0895677i 0.199890 + 0.00736242i
\(149\) 1.66588 + 1.44350i 0.136474 + 0.118256i 0.720423 0.693535i \(-0.243948\pi\)
−0.583949 + 0.811791i \(0.698493\pi\)
\(150\) −5.65652 0.509369i −0.461853 0.0415898i
\(151\) −18.7700 + 5.51135i −1.52748 + 0.448508i −0.934277 0.356548i \(-0.883954\pi\)
−0.593200 + 0.805055i \(0.702136\pi\)
\(152\) 5.70017 + 6.36725i 0.462344 + 0.516452i
\(153\) 6.11058 3.92703i 0.494011 0.317482i
\(154\) 4.87290 + 13.8375i 0.392669 + 1.11505i
\(155\) −4.84522 + 0.696638i −0.389178 + 0.0559553i
\(156\) 0.874403 + 0.815922i 0.0700083 + 0.0653260i
\(157\) 4.61443 + 0.663455i 0.368272 + 0.0529495i 0.323966 0.946069i \(-0.394983\pi\)
0.0443053 + 0.999018i \(0.485893\pi\)
\(158\) −10.5964 + 0.562052i −0.843007 + 0.0447145i
\(159\) −7.60017 8.77106i −0.602733 0.695591i
\(160\) 0.115812 5.61038i 0.00915573 0.443539i
\(161\) 14.8565 2.39546i 1.17086 0.188789i
\(162\) 1.14754 0.826524i 0.0901596 0.0649379i
\(163\) 11.5287 9.98970i 0.903000 0.782454i −0.0736514 0.997284i \(-0.523465\pi\)
0.976651 + 0.214830i \(0.0689198\pi\)
\(164\) −7.04570 + 5.66483i −0.550177 + 0.442349i
\(165\) −3.24614 0.466724i −0.252711 0.0363344i
\(166\) −21.1690 + 4.19851i −1.64304 + 0.325867i
\(167\) 1.20591 + 8.38727i 0.0933159 + 0.649026i 0.981772 + 0.190064i \(0.0608696\pi\)
−0.888456 + 0.458962i \(0.848221\pi\)
\(168\) −8.87390 + 0.143559i −0.684636 + 0.0110758i
\(169\) 10.6355 6.83501i 0.818114 0.525770i
\(170\) 5.04741 8.85226i 0.387119 0.678937i
\(171\) 0.851244 + 2.89907i 0.0650962 + 0.221697i
\(172\) −6.74148 + 3.98974i −0.514033 + 0.304215i
\(173\) 3.13403 + 2.71565i 0.238276 + 0.206467i 0.765811 0.643066i \(-0.222338\pi\)
−0.527535 + 0.849534i \(0.676883\pi\)
\(174\) 3.20584 4.12210i 0.243034 0.312496i
\(175\) 5.23475 + 11.4625i 0.395710 + 0.866485i
\(176\) −0.972818 + 13.1881i −0.0733289 + 0.994091i
\(177\) −8.98864 2.63930i −0.675628 0.198382i
\(178\) −8.40507 8.72035i −0.629987 0.653618i
\(179\) 5.29111 + 2.41637i 0.395476 + 0.180608i 0.603219 0.797576i \(-0.293884\pi\)
−0.207743 + 0.978183i \(0.566612\pi\)
\(180\) 0.890047 1.77314i 0.0663402 0.132162i
\(181\) 2.65313 4.12835i 0.197206 0.306858i −0.728541 0.685002i \(-0.759801\pi\)
0.925747 + 0.378144i \(0.123438\pi\)
\(182\) 0.611683 2.58208i 0.0453409 0.191396i
\(183\) 3.29210 0.243359
\(184\) 13.1350 + 3.38694i 0.968326 + 0.249689i
\(185\) 1.20697 0.0887380
\(186\) −1.60865 + 6.79056i −0.117952 + 0.497908i
\(187\) −12.9827 + 20.2015i −0.949389 + 1.47728i
\(188\) −19.1694 9.62229i −1.39807 0.701778i
\(189\) −2.85425 1.30349i −0.207616 0.0948151i
\(190\) 2.94159 + 3.05194i 0.213406 + 0.221411i
\(191\) 13.7628 + 4.04111i 0.995839 + 0.292405i 0.738747 0.673982i \(-0.235418\pi\)
0.257091 + 0.966387i \(0.417236\pi\)
\(192\) −7.38075 3.08619i −0.532660 0.222727i
\(193\) 4.02568 + 8.81500i 0.289775 + 0.634518i 0.997400 0.0720705i \(-0.0229607\pi\)
−0.707625 + 0.706588i \(0.750233\pi\)
\(194\) 8.92472 11.4755i 0.640758 0.823894i
\(195\) 0.448304 + 0.388457i 0.0321037 + 0.0278180i
\(196\) 2.89882 + 4.89815i 0.207059 + 0.349868i
\(197\) −7.07656 24.1006i −0.504184 1.71709i −0.680489 0.732758i \(-0.738233\pi\)
0.176305 0.984336i \(-0.443585\pi\)
\(198\) −2.31582 + 4.06153i −0.164578 + 0.288640i
\(199\) 2.07141 1.33121i 0.146838 0.0943672i −0.465159 0.885227i \(-0.654003\pi\)
0.611997 + 0.790860i \(0.290366\pi\)
\(200\) 0.183735 + 11.3573i 0.0129920 + 0.803084i
\(201\) −2.12979 14.8130i −0.150224 1.04483i
\(202\) −14.7435 + 2.92412i −1.03735 + 0.205740i
\(203\) −11.4684 1.64891i −0.804926 0.115731i
\(204\) −9.10281 11.3217i −0.637324 0.792680i
\(205\) −3.38886 + 2.93647i −0.236688 + 0.205092i
\(206\) −10.2505 + 7.38294i −0.714184 + 0.514394i
\(207\) 3.67751 + 3.07830i 0.255605 + 0.213957i
\(208\) 1.43769 1.91162i 0.0996857 0.132547i
\(209\) −6.54134 7.54910i −0.452474 0.522182i
\(210\) −4.39583 + 0.233162i −0.303341 + 0.0160897i
\(211\) 7.51478 + 1.08046i 0.517339 + 0.0743821i 0.396039 0.918234i \(-0.370385\pi\)
0.121300 + 0.992616i \(0.461294\pi\)
\(212\) −15.8357 + 16.9708i −1.08760 + 1.16556i
\(213\) 10.9695 1.57718i 0.751618 0.108066i
\(214\) 1.30351 + 3.70154i 0.0891059 + 0.253032i
\(215\) −3.26865 + 2.10064i −0.222920 + 0.143262i
\(216\) −1.88656 2.10734i −0.128364 0.143386i
\(217\) 14.8565 4.36225i 1.00852 0.296129i
\(218\) −9.81130 0.883507i −0.664505 0.0598386i
\(219\) 1.82210 + 1.57886i 0.123126 + 0.106689i
\(220\) −0.241421 + 6.55459i −0.0162766 + 0.441911i
\(221\) 3.95099 1.80436i 0.265772 0.121374i
\(222\) 0.630891 1.60085i 0.0423426 0.107442i
\(223\) 10.8149 + 3.17555i 0.724221 + 0.212650i 0.623009 0.782215i \(-0.285910\pi\)
0.101212 + 0.994865i \(0.467728\pi\)
\(224\) 2.16297 + 17.6178i 0.144519 + 1.17714i
\(225\) −1.66828 + 3.65303i −0.111219 + 0.243536i
\(226\) 0.809376 + 1.54940i 0.0538389 + 0.103065i
\(227\) 8.15500 12.6894i 0.541266 0.842227i −0.457633 0.889141i \(-0.651303\pi\)
0.998899 + 0.0469146i \(0.0149389\pi\)
\(228\) 5.58551 2.30629i 0.369909 0.152738i
\(229\) 5.98284i 0.395357i −0.980267 0.197679i \(-0.936660\pi\)
0.980267 0.197679i \(-0.0633402\pi\)
\(230\) 6.57235 + 1.43898i 0.433368 + 0.0948835i
\(231\) 10.3735 0.682529
\(232\) −8.87621 5.50358i −0.582752 0.361328i
\(233\) 14.1417 + 9.08830i 0.926452 + 0.595395i 0.914523 0.404534i \(-0.132566\pi\)
0.0119291 + 0.999929i \(0.496203\pi\)
\(234\) 0.749559 0.391555i 0.0490002 0.0255967i
\(235\) −9.67721 4.41943i −0.631272 0.288292i
\(236\) −3.34725 + 18.4348i −0.217887 + 1.20000i
\(237\) −2.11394 + 7.19940i −0.137315 + 0.467651i
\(238\) −11.8182 + 29.9880i −0.766057 + 1.94383i
\(239\) −4.81675 10.5472i −0.311570 0.682243i 0.687463 0.726220i \(-0.258724\pi\)
−0.999033 + 0.0439768i \(0.985997\pi\)
\(240\) −3.71469 1.39496i −0.239782 0.0900443i
\(241\) 18.5133 21.3655i 1.19255 1.37627i 0.283820 0.958877i \(-0.408398\pi\)
0.908726 0.417394i \(-0.137057\pi\)
\(242\) −0.00893895 + 0.0992666i −0.000574617 + 0.00638110i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −0.696514 6.54726i −0.0445897 0.419145i
\(245\) 1.52626 + 2.37490i 0.0975090 + 0.151727i
\(246\) 2.12338 + 6.02971i 0.135382 + 0.384440i
\(247\) 0.257130 + 1.78838i 0.0163608 + 0.113792i
\(248\) 13.8453 + 1.76257i 0.879175 + 0.111923i
\(249\) −2.17177 + 15.1050i −0.137630 + 0.957241i
\(250\) 0.669950 + 12.6307i 0.0423714 + 0.798832i
\(251\) 4.63050 4.01235i 0.292275 0.253257i −0.496364 0.868115i \(-0.665332\pi\)
0.788638 + 0.614857i \(0.210786\pi\)
\(252\) −1.98848 + 5.95225i −0.125262 + 0.374957i
\(253\) −15.2867 4.20662i −0.961067 0.264468i
\(254\) −12.2534 + 8.82558i −0.768848 + 0.553766i
\(255\) −4.71861 5.44556i −0.295491 0.341014i
\(256\) −4.57620 + 15.3316i −0.286012 + 0.958226i
\(257\) −0.991602 + 6.89674i −0.0618544 + 0.430207i 0.935239 + 0.354017i \(0.115185\pi\)
−0.997093 + 0.0761898i \(0.975725\pi\)
\(258\) 1.07761 + 5.43337i 0.0670893 + 0.338267i
\(259\) −3.77893 + 0.543328i −0.234811 + 0.0337608i
\(260\) 0.677707 0.973763i 0.0420296 0.0603902i
\(261\) −1.99632 3.10633i −0.123569 0.192277i
\(262\) 8.16828 14.3257i 0.504638 0.885045i
\(263\) 22.0394 6.47135i 1.35901 0.399041i 0.480594 0.876943i \(-0.340421\pi\)
0.878413 + 0.477902i \(0.158603\pi\)
\(264\) 8.56745 + 3.74634i 0.527290 + 0.230571i
\(265\) −7.53933 + 8.70085i −0.463137 + 0.534489i
\(266\) −10.5838 8.23121i −0.648934 0.504688i
\(267\) −7.79023 + 3.55768i −0.476755 + 0.217727i
\(268\) −29.0092 + 7.36968i −1.77202 + 0.450175i
\(269\) −7.23136 + 24.6277i −0.440904 + 1.50158i 0.376993 + 0.926216i \(0.376958\pi\)
−0.817897 + 0.575364i \(0.804860\pi\)
\(270\) −0.973567 1.01009i −0.0592494 0.0614719i
\(271\) −7.54370 + 16.5184i −0.458247 + 1.00342i 0.529636 + 0.848225i \(0.322328\pi\)
−0.987884 + 0.155197i \(0.950399\pi\)
\(272\) −20.5905 + 20.4988i −1.24848 + 1.24292i
\(273\) −1.57848 1.01443i −0.0955337 0.0613958i
\(274\) 12.8052 + 3.03350i 0.773592 + 0.183260i
\(275\) 13.2766i 0.800612i
\(276\) 5.34400 7.96503i 0.321671 0.479438i
\(277\) 20.6989i 1.24367i 0.783147 + 0.621837i \(0.213613\pi\)
−0.783147 + 0.621837i \(0.786387\pi\)
\(278\) 6.10706 25.7796i 0.366277 1.54616i
\(279\) 4.15121 + 2.66782i 0.248526 + 0.159718i
\(280\) 1.39374 + 8.69299i 0.0832918 + 0.519506i
\(281\) −9.94247 + 21.7710i −0.593118 + 1.29875i 0.340422 + 0.940273i \(0.389430\pi\)
−0.933540 + 0.358474i \(0.883297\pi\)
\(282\) −10.9200 + 10.5252i −0.650279 + 0.626768i
\(283\) 8.20725 27.9513i 0.487870 1.66153i −0.236121 0.971724i \(-0.575876\pi\)
0.723991 0.689809i \(-0.242306\pi\)
\(284\) −5.45748 21.4822i −0.323842 1.27474i
\(285\) 2.72642 1.24511i 0.161499 0.0737541i
\(286\) −1.71635 + 2.20691i −0.101490 + 0.130497i
\(287\) 9.28842 10.7194i 0.548278 0.632746i
\(288\) −3.79189 + 4.19780i −0.223439 + 0.247358i
\(289\) −34.3122 + 10.0750i −2.01836 + 0.592645i
\(290\) −4.50007 2.56586i −0.264253 0.150673i
\(291\) −5.55754 8.64770i −0.325789 0.506937i
\(292\) 2.75449 3.95779i 0.161195 0.231612i
\(293\) −22.9413 + 3.29846i −1.34024 + 0.192698i −0.774861 0.632131i \(-0.782180\pi\)
−0.565382 + 0.824829i \(0.691271\pi\)
\(294\) 3.94772 0.782962i 0.230236 0.0456632i
\(295\) −1.32255 + 9.19853i −0.0770018 + 0.535559i
\(296\) −3.31722 0.916007i −0.192809 0.0532418i
\(297\) 2.16496 + 2.49850i 0.125624 + 0.144977i
\(298\) −1.82189 2.52951i −0.105539 0.146530i
\(299\) 1.91472 + 2.13498i 0.110731 + 0.123469i
\(300\) 7.61803 + 2.54497i 0.439827 + 0.146934i
\(301\) 9.28831 8.04836i 0.535369 0.463900i
\(302\) 27.6265 1.46536i 1.58973 0.0843218i
\(303\) −1.51257 + 10.5201i −0.0868947 + 0.604366i
\(304\) −5.76844 10.6204i −0.330843 0.609121i
\(305\) −0.464764 3.23251i −0.0266123 0.185093i
\(306\) −9.68913 + 3.41205i −0.553891 + 0.195054i
\(307\) 3.37016 + 5.24407i 0.192345 + 0.299295i 0.924009 0.382371i \(-0.124892\pi\)
−0.731664 + 0.681666i \(0.761256\pi\)
\(308\) −2.19474 20.6307i −0.125057 1.17554i
\(309\) 2.51658 + 8.57069i 0.143163 + 0.487570i
\(310\) 6.89474 + 0.620871i 0.391595 + 0.0352631i
\(311\) −7.95973 + 9.18602i −0.451355 + 0.520891i −0.935132 0.354300i \(-0.884719\pi\)
0.483777 + 0.875191i \(0.339265\pi\)
\(312\) −0.937301 1.40787i −0.0530642 0.0797047i
\(313\) −5.52422 12.0964i −0.312247 0.683726i 0.686823 0.726824i \(-0.259005\pi\)
−0.999071 + 0.0430979i \(0.986277\pi\)
\(314\) −6.13376 2.41729i −0.346148 0.136416i
\(315\) −0.876946 + 2.98660i −0.0494103 + 0.168276i
\(316\) 14.7653 + 2.68096i 0.830611 + 0.150816i
\(317\) −2.27569 1.03927i −0.127815 0.0583714i 0.350481 0.936570i \(-0.386018\pi\)
−0.478296 + 0.878199i \(0.658745\pi\)
\(318\) 7.59945 + 14.5477i 0.426156 + 0.815797i
\(319\) 10.2695 + 6.59979i 0.574980 + 0.369517i
\(320\) −1.98834 + 7.68283i −0.111152 + 0.429484i
\(321\) 2.77494 0.154882
\(322\) −21.2254 1.54673i −1.18284 0.0861961i
\(323\) 21.9468i 1.22116i
\(324\) −1.84861 + 0.763305i −0.102701 + 0.0424058i
\(325\) −1.29832 + 2.02022i −0.0720178 + 0.112062i
\(326\) −19.1216 + 9.98876i −1.05905 + 0.553226i
\(327\) −2.89366 + 6.33623i −0.160020 + 0.350394i
\(328\) 11.5425 5.49864i 0.637328 0.303611i
\(329\) 32.2881 + 9.48065i 1.78010 + 0.522685i
\(330\) 4.31495 + 1.70051i 0.237530 + 0.0936098i
\(331\) −4.98028 + 2.27442i −0.273741 + 0.125013i −0.547556 0.836769i \(-0.684442\pi\)
0.273815 + 0.961782i \(0.411714\pi\)
\(332\) 30.5000 + 1.12339i 1.67390 + 0.0616538i
\(333\) −0.919526 0.796774i −0.0503897 0.0436629i
\(334\) 1.07475 11.9351i 0.0588078 0.653058i
\(335\) −14.2442 + 4.18247i −0.778243 + 0.228513i
\(336\) 12.2584 + 2.69532i 0.668751 + 0.147042i
\(337\) 0.206079 0.132439i 0.0112258 0.00721440i −0.535016 0.844842i \(-0.679694\pi\)
0.546242 + 0.837628i \(0.316058\pi\)
\(338\) −16.8640 + 5.93869i −0.917279 + 0.323022i
\(339\) 1.22349 0.175911i 0.0664507 0.00955417i
\(340\) −9.83169 + 10.5364i −0.533198 + 0.571416i
\(341\) −16.1475 2.32166i −0.874435 0.125725i
\(342\) −0.226328 4.26699i −0.0122384 0.230732i
\(343\) 8.53609 + 9.85117i 0.460906 + 0.531913i
\(344\) 10.5778 3.29268i 0.570316 0.177529i
\(345\) 2.50340 4.04552i 0.134779 0.217803i
\(346\) −3.42753 4.75877i −0.184265 0.255833i
\(347\) −8.28752 + 7.18118i −0.444897 + 0.385506i −0.848299 0.529517i \(-0.822373\pi\)
0.403402 + 0.915023i \(0.367828\pi\)
\(348\) −5.75544 + 4.62744i −0.308524 + 0.248057i
\(349\) −3.03469 0.436323i −0.162443 0.0233558i 0.0606133 0.998161i \(-0.480694\pi\)
−0.223057 + 0.974806i \(0.571603\pi\)
\(350\) −3.46693 17.4804i −0.185315 0.934366i
\(351\) −0.0851011 0.591891i −0.00454236 0.0315928i
\(352\) 5.63802 17.8314i 0.300507 0.950415i
\(353\) −0.0950748 + 0.0611008i −0.00506032 + 0.00325207i −0.543169 0.839624i \(-0.682776\pi\)
0.538108 + 0.842876i \(0.319139\pi\)
\(354\) 11.5091 + 6.56230i 0.611702 + 0.348782i
\(355\) −3.09725 10.5483i −0.164385 0.559844i
\(356\) 8.72363 + 14.7403i 0.462351 + 0.781237i
\(357\) 17.2250 + 14.9256i 0.911644 + 0.789944i
\(358\) −6.49351 5.05012i −0.343192 0.266907i
\(359\) −5.17269 11.3266i −0.273004 0.597796i 0.722620 0.691246i \(-0.242938\pi\)
−0.995624 + 0.0934500i \(0.970210\pi\)
\(360\) −1.80286 + 2.14991i −0.0950190 + 0.113310i
\(361\) −9.47094 2.78092i −0.498471 0.146364i
\(362\) −4.99688 + 4.81622i −0.262630 + 0.253135i
\(363\) 0.0641073 + 0.0292768i 0.00336476 + 0.00153663i
\(364\) −1.68351 + 3.35386i −0.0882397 + 0.175790i
\(365\) 1.29304 2.01201i 0.0676809 0.105313i
\(366\) −4.53035 1.07322i −0.236805 0.0560980i
\(367\) 4.13419 0.215803 0.107901 0.994162i \(-0.465587\pi\)
0.107901 + 0.994162i \(0.465587\pi\)
\(368\) −16.9713 8.94285i −0.884691 0.466178i
\(369\) 4.52029 0.235317
\(370\) −1.66094 0.393469i −0.0863482 0.0204555i
\(371\) 19.6884 30.6357i 1.02217 1.59053i
\(372\) 4.42742 8.82026i 0.229551 0.457309i
\(373\) −13.7159 6.26383i −0.710181 0.324329i 0.0273649 0.999626i \(-0.491288\pi\)
−0.737546 + 0.675296i \(0.764016\pi\)
\(374\) 24.4515 23.5674i 1.26436 1.21864i
\(375\) 8.58149 + 2.51975i 0.443146 + 0.130119i
\(376\) 23.2427 + 19.4907i 1.19865 + 1.00516i
\(377\) −0.917250 2.00850i −0.0472408 0.103443i
\(378\) 3.50287 + 2.72425i 0.180168 + 0.140120i
\(379\) 22.0065 + 19.0687i 1.13040 + 0.979494i 0.999928 0.0119583i \(-0.00380655\pi\)
0.130468 + 0.991453i \(0.458352\pi\)
\(380\) −3.05308 5.15880i −0.156620 0.264641i
\(381\) 3.00833 + 10.2454i 0.154121 + 0.524889i
\(382\) −17.6219 10.0477i −0.901616 0.514086i
\(383\) −11.4911 + 7.38488i −0.587168 + 0.377350i −0.800234 0.599688i \(-0.795291\pi\)
0.213066 + 0.977038i \(0.431655\pi\)
\(384\) 9.15075 + 6.65310i 0.466972 + 0.339515i
\(385\) −1.46449 10.1858i −0.0746373 0.519114i
\(386\) −2.66617 13.4429i −0.135704 0.684227i
\(387\) 3.87694 + 0.557420i 0.197076 + 0.0283353i
\(388\) −16.0225 + 12.8823i −0.813421 + 0.654001i
\(389\) −15.0671 + 13.0557i −0.763931 + 0.661950i −0.947030 0.321144i \(-0.895933\pi\)
0.183099 + 0.983094i \(0.441387\pi\)
\(390\) −0.490286 0.680713i −0.0248266 0.0344692i
\(391\) −19.3307 28.9797i −0.977595 1.46557i
\(392\) −2.39236 7.68549i −0.120832 0.388176i
\(393\) −7.63618 8.81262i −0.385194 0.444538i
\(394\) 1.88151 + 35.4724i 0.0947892 + 1.78707i
\(395\) 7.36752 + 1.05929i 0.370700 + 0.0532986i
\(396\) 4.51091 4.83423i 0.226682 0.242929i
\(397\) −17.7183 + 2.54751i −0.889256 + 0.127856i −0.571776 0.820410i \(-0.693745\pi\)
−0.317479 + 0.948265i \(0.602836\pi\)
\(398\) −3.28449 + 1.15664i −0.164637 + 0.0579773i
\(399\) −7.97572 + 5.12569i −0.399285 + 0.256605i
\(400\) 3.44962 15.6890i 0.172481 0.784451i
\(401\) −34.8160 + 10.2229i −1.73863 + 0.510507i −0.988557 0.150850i \(-0.951799\pi\)
−0.750071 + 0.661357i \(0.769981\pi\)
\(402\) −1.89815 + 21.0789i −0.0946712 + 1.05132i
\(403\) 2.23003 + 1.93233i 0.111086 + 0.0962562i
\(404\) 21.2422 + 0.782402i 1.05684 + 0.0389259i
\(405\) −0.902350 + 0.412090i −0.0448382 + 0.0204769i
\(406\) 15.2445 + 6.00780i 0.756570 + 0.298162i
\(407\) 3.85948 + 1.13324i 0.191307 + 0.0561728i
\(408\) 8.83576 + 18.5476i 0.437435 + 0.918245i
\(409\) 9.83929 21.5450i 0.486522 1.06533i −0.494097 0.869407i \(-0.664501\pi\)
0.980619 0.195927i \(-0.0627715\pi\)
\(410\) 5.62079 2.93619i 0.277591 0.145008i
\(411\) 5.03080 7.82808i 0.248151 0.386131i
\(412\) 16.5128 6.81823i 0.813525 0.335910i
\(413\) 29.3953i 1.44645i
\(414\) −4.05720 5.43499i −0.199401 0.267115i
\(415\) 15.1382 0.743104
\(416\) −2.60163 + 2.16195i −0.127555 + 0.105998i
\(417\) −15.7596 10.1280i −0.771749 0.495973i
\(418\) 6.54071 + 12.5210i 0.319917 + 0.612421i
\(419\) −20.7062 9.45622i −1.01157 0.461966i −0.160505 0.987035i \(-0.551312\pi\)
−0.851060 + 0.525068i \(0.824040\pi\)
\(420\) 6.12523 + 1.11217i 0.298880 + 0.0542684i
\(421\) −6.47643 + 22.0567i −0.315642 + 1.07498i 0.636995 + 0.770868i \(0.280177\pi\)
−0.952637 + 0.304110i \(0.901641\pi\)
\(422\) −9.98907 3.93666i −0.486260 0.191634i
\(423\) 4.45510 + 9.75530i 0.216614 + 0.474319i
\(424\) 27.3244 18.1915i 1.32699 0.883457i
\(425\) 19.1026 22.0456i 0.926612 1.06937i
\(426\) −15.6096 1.40564i −0.756287 0.0681036i
\(427\) 2.91029 + 9.91154i 0.140839 + 0.479653i
\(428\) −0.587097 5.51873i −0.0283784 0.266758i
\(429\) 1.06879 + 1.66308i 0.0516019 + 0.0802941i
\(430\) 5.18288 1.82517i 0.249941 0.0880173i
\(431\) −5.07911 35.3260i −0.244652 1.70159i −0.628184 0.778065i \(-0.716201\pi\)
0.383532 0.923528i \(-0.374708\pi\)
\(432\) 1.90916 + 3.51499i 0.0918543 + 0.169115i
\(433\) −1.39665 + 9.71391i −0.0671187 + 0.466821i 0.928348 + 0.371712i \(0.121229\pi\)
−0.995467 + 0.0951090i \(0.969680\pi\)
\(434\) −21.8665 + 1.15983i −1.04962 + 0.0556738i
\(435\) −2.76827 + 2.39872i −0.132728 + 0.115010i
\(436\) 13.2136 + 4.41428i 0.632815 + 0.211406i
\(437\) 13.8318 4.31907i 0.661663 0.206609i
\(438\) −1.99273 2.76671i −0.0952165 0.132198i
\(439\) 5.56028 + 6.41690i 0.265378 + 0.306262i 0.872762 0.488146i \(-0.162327\pi\)
−0.607384 + 0.794408i \(0.707781\pi\)
\(440\) 2.46901 8.94125i 0.117705 0.426257i
\(441\) 0.405004 2.81687i 0.0192859 0.134137i
\(442\) −6.02528 + 1.19501i −0.286593 + 0.0568408i
\(443\) 19.3736 2.78551i 0.920469 0.132343i 0.334239 0.942488i \(-0.391521\pi\)
0.586230 + 0.810145i \(0.300612\pi\)
\(444\) −1.39006 + 1.99731i −0.0659694 + 0.0947880i
\(445\) 4.59307 + 7.14696i 0.217732 + 0.338798i
\(446\) −13.8475 7.89560i −0.655697 0.373867i
\(447\) −2.11499 + 0.621017i −0.100036 + 0.0293731i
\(448\) 2.76686 24.9495i 0.130722 1.17875i
\(449\) 1.54465 1.78263i 0.0728967 0.0841273i −0.718130 0.695909i \(-0.755002\pi\)
0.791026 + 0.611782i \(0.209547\pi\)
\(450\) 3.48665 4.48318i 0.164362 0.211339i
\(451\) −13.5935 + 6.20797i −0.640095 + 0.292322i
\(452\) −0.608702 2.39603i −0.0286309 0.112700i
\(453\) 5.51135 18.7700i 0.258946 0.881889i
\(454\) −15.3590 + 14.8037i −0.720836 + 0.694774i
\(455\) −0.773220 + 1.69311i −0.0362491 + 0.0793744i
\(456\) −8.43821 + 1.35289i −0.395156 + 0.0633548i
\(457\) −10.2074 6.55991i −0.477483 0.306860i 0.279671 0.960096i \(-0.409775\pi\)
−0.757154 + 0.653236i \(0.773411\pi\)
\(458\) −1.95039 + 8.23314i −0.0911359 + 0.384710i
\(459\) 7.26366i 0.339039i
\(460\) −8.57529 4.12279i −0.399825 0.192226i
\(461\) 26.7671i 1.24667i 0.781956 + 0.623334i \(0.214222\pi\)
−0.781956 + 0.623334i \(0.785778\pi\)
\(462\) −14.2753 3.38175i −0.664147 0.157333i
\(463\) 5.27314 + 3.38884i 0.245064 + 0.157493i 0.657407 0.753536i \(-0.271653\pi\)
−0.412343 + 0.911029i \(0.635290\pi\)
\(464\) 10.4206 + 10.4673i 0.483766 + 0.485930i
\(465\) 2.03348 4.45269i 0.0943002 0.206489i
\(466\) −16.4980 17.1168i −0.764254 0.792921i
\(467\) 5.87212 19.9986i 0.271729 0.925425i −0.704685 0.709520i \(-0.748912\pi\)
0.976414 0.215905i \(-0.0692700\pi\)
\(468\) −1.15913 + 0.294474i −0.0535810 + 0.0136121i
\(469\) 42.7148 19.5072i 1.97238 0.900758i
\(470\) 11.8763 + 9.23645i 0.547815 + 0.426046i
\(471\) −3.05288 + 3.52322i −0.140669 + 0.162341i
\(472\) 10.6160 24.2774i 0.488639 1.11746i
\(473\) −12.4244 + 3.64813i −0.571274 + 0.167741i
\(474\) 5.25604 9.21815i 0.241418 0.423404i
\(475\) 6.56015 + 10.2078i 0.301000 + 0.468365i
\(476\) 26.0393 37.4145i 1.19351 1.71489i
\(477\) 11.4876 1.65167i 0.525983 0.0756250i
\(478\) 3.19009 + 16.0846i 0.145911 + 0.735691i
\(479\) −2.23867 + 15.5703i −0.102288 + 0.711426i 0.872552 + 0.488521i \(0.162463\pi\)
−0.974840 + 0.222906i \(0.928446\pi\)
\(480\) 4.65714 + 3.13063i 0.212568 + 0.142893i
\(481\) −0.476453 0.549856i −0.0217244 0.0250713i
\(482\) −32.4417 + 23.3663i −1.47768 + 1.06431i
\(483\) −6.01685 + 13.7932i −0.273776 + 0.627611i
\(484\) 0.0446618 0.133689i 0.00203008 0.00607679i
\(485\) −7.70657 + 6.67778i −0.349937 + 0.303222i
\(486\) 0.0749069 + 1.41223i 0.00339785 + 0.0640600i
\(487\) 3.43131 23.8653i 0.155488 1.08144i −0.751333 0.659924i \(-0.770589\pi\)
0.906820 0.421517i \(-0.138502\pi\)
\(488\) −1.17590 + 9.23692i −0.0532306 + 0.418136i
\(489\) 2.17097 + 15.0994i 0.0981747 + 0.682820i
\(490\) −1.32611 3.76573i −0.0599076 0.170118i
\(491\) 4.64077 + 7.22118i 0.209435 + 0.325887i 0.930040 0.367459i \(-0.119772\pi\)
−0.720605 + 0.693346i \(0.756136\pi\)
\(492\) −0.956364 8.98986i −0.0431162 0.405294i
\(493\) 7.55637 + 25.7346i 0.340322 + 1.15903i
\(494\) 0.229164 2.54485i 0.0103106 0.114498i
\(495\) 2.14763 2.47849i 0.0965287 0.111400i
\(496\) −18.4783 6.93904i −0.829698 0.311572i
\(497\) 14.4457 + 31.6317i 0.647978 + 1.41887i
\(498\) 7.91283 20.0784i 0.354583 0.899735i
\(499\) 10.7896 36.7461i 0.483010 1.64498i −0.252597 0.967572i \(-0.581285\pi\)
0.735607 0.677409i \(-0.236897\pi\)
\(500\) 3.19563 17.5998i 0.142913 0.787086i
\(501\) −7.70778 3.52003i −0.344358 0.157263i
\(502\) −7.68017 + 4.01197i −0.342783 + 0.179063i
\(503\) 14.6491 + 9.41438i 0.653169 + 0.419767i 0.824823 0.565391i \(-0.191275\pi\)
−0.171654 + 0.985157i \(0.554911\pi\)
\(504\) 4.67682 7.54281i 0.208322 0.335984i
\(505\) 10.5432 0.469168
\(506\) 19.6651 + 10.7723i 0.874220 + 0.478886i
\(507\) 12.6424i 0.561470i
\(508\) 19.7394 8.15053i 0.875794 0.361621i
\(509\) −14.7678 + 22.9792i −0.654573 + 1.01853i 0.342306 + 0.939588i \(0.388792\pi\)
−0.996879 + 0.0789465i \(0.974844\pi\)
\(510\) 4.71816 + 9.03204i 0.208924 + 0.399946i
\(511\) −3.14270 + 6.88155i −0.139025 + 0.304422i
\(512\) 11.2955 19.6064i 0.499195 0.866489i
\(513\) −2.89907 0.851244i −0.127997 0.0375833i
\(514\) 3.61289 9.16753i 0.159358 0.404363i
\(515\) 8.06026 3.68100i 0.355178 0.162204i
\(516\) 0.288335 7.82831i 0.0126933 0.344622i
\(517\) −26.7950 23.2180i −1.17844 1.02113i
\(518\) 5.37741 + 0.484236i 0.236270 + 0.0212761i
\(519\) −3.97894 + 1.16832i −0.174656 + 0.0512836i
\(520\) −1.25006 + 1.11909i −0.0548186 + 0.0490753i
\(521\) −7.65683 + 4.92074i −0.335452 + 0.215582i −0.697512 0.716573i \(-0.745710\pi\)
0.362061 + 0.932155i \(0.382073\pi\)
\(522\) 1.73453 + 4.92550i 0.0759182 + 0.215583i
\(523\) 0.577875 0.0830858i 0.0252687 0.00363309i −0.129669 0.991557i \(-0.541391\pi\)
0.154938 + 0.987924i \(0.450482\pi\)
\(524\) −15.9107 + 17.0512i −0.695064 + 0.744883i
\(525\) −12.4730 1.79335i −0.544366 0.0782681i
\(526\) −32.4387 + 1.72060i −1.41439 + 0.0750217i
\(527\) −23.4721 27.0882i −1.02246 1.17998i
\(528\) −10.5686 7.94841i −0.459939 0.345910i
\(529\) 14.4599 17.8861i 0.628692 0.777655i
\(530\) 13.2115 9.51567i 0.573872 0.413334i
\(531\) 7.07995 6.13481i 0.307244 0.266228i
\(532\) 11.8813 + 14.7775i 0.515119 + 0.640686i
\(533\) 2.67552 + 0.384682i 0.115890 + 0.0166624i
\(534\) 11.8801 2.35622i 0.514104 0.101964i
\(535\) −0.391753 2.72470i −0.0169370 0.117799i
\(536\) 42.3228 0.684683i 1.82807 0.0295738i
\(537\) −4.89337 + 3.14478i −0.211164 + 0.135707i
\(538\) 17.9799 31.5335i 0.775167 1.35951i
\(539\) 2.65062 + 9.02718i 0.114170 + 0.388828i
\(540\) 1.01047 + 1.70739i 0.0434835 + 0.0734743i
\(541\) 19.5313 + 16.9240i 0.839717 + 0.727619i 0.964363 0.264582i \(-0.0852341\pi\)
−0.124646 + 0.992201i \(0.539780\pi\)
\(542\) 15.7661 20.2722i 0.677210 0.870765i
\(543\) 2.03860 + 4.46391i 0.0874847 + 0.191565i
\(544\) 35.0178 21.4965i 1.50137 0.921656i
\(545\) 6.63004 + 1.94676i 0.284000 + 0.0833899i
\(546\) 1.84148 + 1.91056i 0.0788082 + 0.0817643i
\(547\) −36.0707 16.4729i −1.54227 0.704331i −0.550796 0.834640i \(-0.685676\pi\)
−0.991473 + 0.130309i \(0.958403\pi\)
\(548\) −16.6327 8.34895i −0.710513 0.356650i
\(549\) −1.77984 + 2.76949i −0.0759619 + 0.118199i
\(550\) −4.32816 + 18.2704i −0.184553 + 0.779051i
\(551\) −11.1567 −0.475293
\(552\) −9.95060 + 9.21876i −0.423526 + 0.392376i
\(553\) −23.5440 −1.00119
\(554\) 6.74779 28.4843i 0.286686 1.21018i
\(555\) −0.652536 + 1.01537i −0.0276986 + 0.0430999i
\(556\) −16.8082 + 33.4851i −0.712825 + 1.42008i
\(557\) 38.4371 + 17.5536i 1.62863 + 0.743772i 0.999439 0.0334769i \(-0.0106580\pi\)
0.629194 + 0.777249i \(0.283385\pi\)
\(558\) −4.84288 5.02454i −0.205016 0.212706i
\(559\) 2.24729 + 0.659864i 0.0950502 + 0.0279093i
\(560\) 0.915939 12.4170i 0.0387055 0.524715i
\(561\) −9.97558 21.8435i −0.421169 0.922232i
\(562\) 20.7794 26.7184i 0.876526 1.12705i
\(563\) 32.5194 + 28.1782i 1.37053 + 1.18757i 0.961420 + 0.275083i \(0.0887054\pi\)
0.409108 + 0.912486i \(0.365840\pi\)
\(564\) 18.4586 10.9241i 0.777246 0.459989i
\(565\) −0.345453 1.17650i −0.0145333 0.0494959i
\(566\) −20.4063 + 35.7890i −0.857740 + 1.50432i
\(567\) 2.63969 1.69643i 0.110857 0.0712432i
\(568\) 0.507030 + 31.3414i 0.0212745 + 1.31506i
\(569\) −1.53418 10.6704i −0.0643160 0.447328i −0.996378 0.0850298i \(-0.972901\pi\)
0.932062 0.362298i \(-0.118008\pi\)
\(570\) −4.15780 + 0.824626i −0.174151 + 0.0345398i
\(571\) 9.62349 + 1.38365i 0.402730 + 0.0579039i 0.340704 0.940171i \(-0.389335\pi\)
0.0620264 + 0.998075i \(0.480244\pi\)
\(572\) 3.08137 2.47746i 0.128838 0.103588i
\(573\) −10.8403 + 9.39318i −0.452861 + 0.392406i
\(574\) −16.2765 + 11.7233i −0.679370 + 0.489319i
\(575\) 17.6533 + 7.70070i 0.736194 + 0.321142i
\(576\) 6.58660 4.54056i 0.274442 0.189190i
\(577\) −14.2548 16.4509i −0.593435 0.684860i 0.377003 0.926212i \(-0.376955\pi\)
−0.970438 + 0.241352i \(0.922409\pi\)
\(578\) 50.5023 2.67872i 2.10062 0.111420i
\(579\) −9.59210 1.37914i −0.398634 0.0573149i
\(580\) 5.35620 + 4.99797i 0.222404 + 0.207529i
\(581\) −47.3966 + 6.81460i −1.96634 + 0.282717i
\(582\) 4.82875 + 13.7121i 0.200158 + 0.568384i
\(583\) −32.2776 + 20.7436i −1.33680 + 0.859111i
\(584\) −5.08076 + 4.54846i −0.210244 + 0.188217i
\(585\) −0.569162 + 0.167121i −0.0235320 + 0.00690961i
\(586\) 32.6454 + 2.93972i 1.34857 + 0.121439i
\(587\) 6.65439 + 5.76606i 0.274656 + 0.237991i 0.781287 0.624172i \(-0.214564\pi\)
−0.506631 + 0.862163i \(0.669109\pi\)
\(588\) −5.68781 0.209496i −0.234561 0.00863945i
\(589\) 13.5622 6.19365i 0.558820 0.255205i
\(590\) 4.81870 12.2272i 0.198383 0.503386i
\(591\) 24.1006 + 7.07656i 0.991364 + 0.291091i
\(592\) 4.26630 + 2.34195i 0.175344 + 0.0962535i
\(593\) −1.20615 + 2.64109i −0.0495304 + 0.108457i −0.932779 0.360448i \(-0.882624\pi\)
0.883249 + 0.468904i \(0.155351\pi\)
\(594\) −2.16475 4.14402i −0.0888209 0.170031i
\(595\) 12.2236 19.0203i 0.501120 0.779757i
\(596\) 1.68254 + 4.07486i 0.0689194 + 0.166913i
\(597\) 2.46229i 0.100775i
\(598\) −1.93890 3.56219i −0.0792874 0.145669i
\(599\) 13.9856 0.571437 0.285718 0.958314i \(-0.407768\pi\)
0.285718 + 0.958314i \(0.407768\pi\)
\(600\) −9.65372 5.98567i −0.394112 0.244364i
\(601\) −35.7279 22.9609i −1.45737 0.936596i −0.998852 0.0479123i \(-0.984743\pi\)
−0.458521 0.888684i \(-0.651620\pi\)
\(602\) −15.4056 + 8.04760i −0.627887 + 0.327996i
\(603\) 13.6129 + 6.21682i 0.554362 + 0.253168i
\(604\) −38.4953 6.98968i −1.56635 0.284406i
\(605\) 0.0196965 0.0670800i 0.000800775 0.00272719i
\(606\) 5.51103 13.9839i 0.223870 0.568059i
\(607\) 8.07426 + 17.6802i 0.327724 + 0.717616i 0.999737 0.0229236i \(-0.00729743\pi\)
−0.672013 + 0.740539i \(0.734570\pi\)
\(608\) 4.47588 + 16.4955i 0.181521 + 0.668981i
\(609\) 7.58745 8.75639i 0.307459 0.354827i
\(610\) −0.414216 + 4.59985i −0.0167711 + 0.186243i
\(611\) 1.80675 + 6.15321i 0.0730931 + 0.248932i
\(612\) 14.4458 1.53678i 0.583937 0.0621207i
\(613\) −4.37714 6.81096i −0.176791 0.275092i 0.741537 0.670911i \(-0.234097\pi\)
−0.918328 + 0.395819i \(0.870461\pi\)
\(614\) −2.92821 8.31517i −0.118173 0.335573i
\(615\) −0.638155 4.43847i −0.0257329 0.178976i
\(616\) −3.70531 + 29.1059i −0.149291 + 1.17271i
\(617\) −0.589184 + 4.09787i −0.0237197 + 0.164974i −0.998238 0.0593329i \(-0.981103\pi\)
0.974519 + 0.224307i \(0.0720117\pi\)
\(618\) −0.669107 12.6148i −0.0269154 0.507440i
\(619\) 4.81915 4.17582i 0.193698 0.167840i −0.552612 0.833438i \(-0.686369\pi\)
0.746310 + 0.665598i \(0.231824\pi\)
\(620\) −9.28564 3.10207i −0.372920 0.124582i
\(621\) −4.57784 + 1.42946i −0.183702 + 0.0573624i
\(622\) 13.9482 10.0463i 0.559273 0.402819i
\(623\) −17.5979 20.3090i −0.705044 0.813664i
\(624\) 0.830884 + 2.24296i 0.0332620 + 0.0897902i
\(625\) −1.59500 + 11.0935i −0.0638000 + 0.443739i
\(626\) 3.65864 + 18.4470i 0.146229 + 0.737291i
\(627\) 9.88722 1.42157i 0.394858 0.0567720i
\(628\) 7.65280 + 5.32610i 0.305380 + 0.212534i
\(629\) 4.77804 + 7.43478i 0.190513 + 0.296444i
\(630\) 2.18042 3.82406i 0.0868698 0.152354i
\(631\) −21.0884 + 6.19210i −0.839514 + 0.246504i −0.673099 0.739552i \(-0.735037\pi\)
−0.166415 + 0.986056i \(0.553219\pi\)
\(632\) −19.4449 8.50279i −0.773476 0.338223i
\(633\) −4.97174 + 5.73770i −0.197609 + 0.228053i
\(634\) 2.79284 + 2.17204i 0.110918 + 0.0862628i
\(635\) 9.63525 4.40027i 0.382363 0.174619i
\(636\) −5.71527 22.4969i −0.226625 0.892062i
\(637\) 0.479437 1.63281i 0.0189960 0.0646944i
\(638\) −11.9806 12.4300i −0.474316 0.492108i
\(639\) −4.60376 + 10.0808i −0.182122 + 0.398791i
\(640\) 5.24080 9.92436i 0.207161 0.392295i
\(641\) −31.4211 20.1931i −1.24106 0.797580i −0.255483 0.966813i \(-0.582235\pi\)
−0.985576 + 0.169233i \(0.945871\pi\)
\(642\) −3.81866 0.904624i −0.150711 0.0357026i
\(643\) 21.7564i 0.857988i −0.903307 0.428994i \(-0.858868\pi\)
0.903307 0.428994i \(-0.141132\pi\)
\(644\) 28.7046 + 9.04793i 1.13112 + 0.356538i
\(645\) 3.88545i 0.152990i
\(646\) −7.15463 + 30.2017i −0.281495 + 1.18827i
\(647\) 24.2523 + 15.5860i 0.953457 + 0.612749i 0.922180 0.386761i \(-0.126406\pi\)
0.0312767 + 0.999511i \(0.490043\pi\)
\(648\) 2.79276 0.447760i 0.109710 0.0175897i
\(649\) −12.8657 + 28.1721i −0.505025 + 1.10585i
\(650\) 2.44524 2.35684i 0.0959103 0.0924427i
\(651\) −4.36225 + 14.8565i −0.170970 + 0.582271i
\(652\) 29.5701 7.51218i 1.15805 0.294200i
\(653\) −36.9535 + 16.8761i −1.44610 + 0.660414i −0.975110 0.221723i \(-0.928832\pi\)
−0.470994 + 0.882136i \(0.656105\pi\)
\(654\) 6.04764 7.77613i 0.236481 0.304071i
\(655\) −7.57505 + 8.74207i −0.295982 + 0.341581i
\(656\) −17.6765 + 3.80399i −0.690151 + 0.148521i
\(657\) −2.31332 + 0.679252i −0.0902512 + 0.0265002i
\(658\) −41.3419 23.5725i −1.61168 0.918950i
\(659\) 3.13472 + 4.87773i 0.122112 + 0.190009i 0.896928 0.442178i \(-0.145794\pi\)
−0.774816 + 0.632187i \(0.782158\pi\)
\(660\) −5.38355 3.74678i −0.209554 0.145843i
\(661\) 27.2007 3.91087i 1.05798 0.152115i 0.408706 0.912666i \(-0.365980\pi\)
0.649278 + 0.760551i \(0.275071\pi\)
\(662\) 7.59495 1.50632i 0.295186 0.0585450i
\(663\) −0.618145 + 4.29929i −0.0240068 + 0.166971i
\(664\) −41.6056 11.4889i −1.61461 0.445854i
\(665\) 6.15888 + 7.10772i 0.238831 + 0.275626i
\(666\) 1.00564 + 1.39623i 0.0389677 + 0.0541026i
\(667\) −14.7319 + 9.82681i −0.570421 + 0.380496i
\(668\) −5.36981 + 16.0738i −0.207764 + 0.621914i
\(669\) −8.51843 + 7.38126i −0.329341 + 0.285376i
\(670\) 20.9653 1.11203i 0.809959 0.0429616i
\(671\) 1.54890 10.7729i 0.0597947 0.415881i
\(672\) −15.9905 7.70532i −0.616845 0.297239i
\(673\) 5.76586 + 40.1025i 0.222258 + 1.54584i 0.729469 + 0.684014i \(0.239767\pi\)
−0.507211 + 0.861822i \(0.669324\pi\)
\(674\) −0.326765 + 0.115071i −0.0125865 + 0.00443238i
\(675\) −2.17118 3.37843i −0.0835689 0.130036i
\(676\) 25.1430 2.67477i 0.967037 0.102876i
\(677\) 4.83632 + 16.4710i 0.185875 + 0.633031i 0.998721 + 0.0505535i \(0.0160986\pi\)
−0.812847 + 0.582478i \(0.802083\pi\)
\(678\) −1.74102 0.156779i −0.0668635 0.00602105i
\(679\) 21.1227 24.3769i 0.810614 0.935498i
\(680\) 16.9645 11.2943i 0.650559 0.433116i
\(681\) 6.26610 + 13.7208i 0.240117 + 0.525784i
\(682\) 21.4641 + 8.45894i 0.821904 + 0.323910i
\(683\) −13.1729 + 44.8627i −0.504046 + 1.71662i 0.176846 + 0.984239i \(0.443411\pi\)
−0.680892 + 0.732384i \(0.738408\pi\)
\(684\) −1.07957 + 5.94570i −0.0412786 + 0.227340i
\(685\) −8.39660 3.83460i −0.320818 0.146513i
\(686\) −8.53528 16.3392i −0.325879 0.623834i
\(687\) 5.03308 + 3.23457i 0.192024 + 0.123406i
\(688\) −15.6298 + 1.08281i −0.595879 + 0.0412818i
\(689\) 6.94000 0.264393
\(690\) −4.76383 + 4.75104i −0.181356 + 0.180869i
\(691\) 22.4870i 0.855445i −0.903910 0.427722i \(-0.859316\pi\)
0.903910 0.427722i \(-0.140684\pi\)
\(692\) 3.16536 + 7.66604i 0.120329 + 0.291419i
\(693\) −5.60836 + 8.72678i −0.213044 + 0.331503i
\(694\) 13.7457 7.18049i 0.521781 0.272568i
\(695\) −7.71985 + 16.9041i −0.292830 + 0.641209i
\(696\) 9.42875 4.49169i 0.357396 0.170257i
\(697\) −31.5039 9.25037i −1.19329 0.350383i
\(698\) 4.03388 + 1.58974i 0.152685 + 0.0601725i
\(699\) −15.2911 + 6.98323i −0.578364 + 0.264130i
\(700\) −0.927640 + 25.1855i −0.0350615 + 0.951921i
\(701\) −12.6039 10.9213i −0.476043 0.412494i 0.383513 0.923536i \(-0.374714\pi\)
−0.859556 + 0.511042i \(0.829260\pi\)
\(702\) −0.0758455 + 0.842260i −0.00286260 + 0.0317891i
\(703\) −3.52732 + 1.03571i −0.133035 + 0.0390627i
\(704\) −13.5716 + 22.7002i −0.511500 + 0.855547i
\(705\) 8.94976 5.75166i 0.337067 0.216620i
\(706\) 0.150754 0.0530883i 0.00567369 0.00199801i
\(707\) −33.0101 + 4.74614i −1.24147 + 0.178497i
\(708\) −13.6987 12.7825i −0.514828 0.480396i
\(709\) −14.5026 2.08516i −0.544657 0.0783098i −0.135506 0.990777i \(-0.543266\pi\)
−0.409151 + 0.912467i \(0.634175\pi\)
\(710\) 0.823496 + 15.5255i 0.0309052 + 0.582660i
\(711\) −4.91364 5.67065i −0.184276 0.212666i
\(712\) −7.19949 23.1285i −0.269812 0.866776i
\(713\) 12.4528 20.1239i 0.466362 0.753646i
\(714\) −18.8381 26.1548i −0.704998 0.978818i
\(715\) 1.48208 1.28423i 0.0554268 0.0480276i
\(716\) 7.28956 + 9.06648i 0.272424 + 0.338830i
\(717\) 11.4770 + 1.65015i 0.428617 + 0.0616258i
\(718\) 3.42582 + 17.2731i 0.127851 + 0.644628i
\(719\) 4.90511 + 34.1158i 0.182930 + 1.27230i 0.849790 + 0.527121i \(0.176729\pi\)
−0.666861 + 0.745183i \(0.732362\pi\)
\(720\) 3.18183 2.37083i 0.118580 0.0883555i
\(721\) −23.5791 + 15.1534i −0.878131 + 0.564341i
\(722\) 12.1266 + 6.91441i 0.451307 + 0.257328i
\(723\) 7.96474 + 27.1254i 0.296212 + 1.00881i
\(724\) 8.44641 4.99876i 0.313909 0.185777i
\(725\) −11.2069 9.71086i −0.416215 0.360652i
\(726\) −0.0786756 0.0611875i −0.00291993 0.00227088i
\(727\) 12.7531 + 27.9253i 0.472985 + 1.03569i 0.984333 + 0.176319i \(0.0564191\pi\)
−0.511348 + 0.859374i \(0.670854\pi\)
\(728\) 3.41007 4.06652i 0.126386 0.150715i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −2.43530 + 2.34725i −0.0901345 + 0.0868758i
\(731\) −25.8794 11.8187i −0.957183 0.437131i
\(732\) 5.88447 + 2.95377i 0.217496 + 0.109174i
\(733\) −23.3142 + 36.2776i −0.861129 + 1.33994i 0.0782037 + 0.996937i \(0.475082\pi\)
−0.939333 + 0.343006i \(0.888555\pi\)
\(734\) −5.68917 1.34774i −0.209991 0.0497459i
\(735\) −2.82305 −0.104130
\(736\) 20.4393 + 17.8391i 0.753403 + 0.657559i
\(737\) −49.4751 −1.82244
\(738\) −6.22050 1.47361i −0.228980 0.0542442i
\(739\) 25.1375 39.1148i 0.924700 1.43886i 0.0263138 0.999654i \(-0.491623\pi\)
0.898386 0.439207i \(-0.144741\pi\)
\(740\) 2.15739 + 1.08293i 0.0793074 + 0.0398092i
\(741\) −1.64349 0.750557i −0.0603752 0.0275724i
\(742\) −37.0808 + 35.7402i −1.36128 + 1.31206i
\(743\) 1.65700 + 0.486539i 0.0607894 + 0.0178494i 0.311986 0.950087i \(-0.399006\pi\)
−0.251196 + 0.967936i \(0.580824\pi\)
\(744\) −8.96808 + 10.6945i −0.328786 + 0.392078i
\(745\) 0.908360 + 1.98903i 0.0332797 + 0.0728725i
\(746\) 16.8328 + 13.0912i 0.616292 + 0.479302i
\(747\) −11.5330 9.99339i −0.421970 0.365639i
\(748\) −41.3313 + 24.4607i −1.51122 + 0.894371i
\(749\) 2.45311 + 8.35451i 0.0896345 + 0.305267i
\(750\) −10.9878 6.26505i −0.401217 0.228767i
\(751\) −7.56419 + 4.86121i −0.276021 + 0.177388i −0.671326 0.741162i \(-0.734275\pi\)
0.395305 + 0.918550i \(0.370639\pi\)
\(752\) −25.6310 34.3987i −0.934666 1.25439i
\(753\) 0.871967 + 6.06466i 0.0317763 + 0.221009i
\(754\) 0.607486 + 3.06297i 0.0221233 + 0.111547i
\(755\) −19.2082 2.76173i −0.699060 0.100510i
\(756\) −3.93230 4.89084i −0.143016 0.177878i
\(757\) 31.3395 27.1559i 1.13905 0.986997i 0.139060 0.990284i \(-0.455592\pi\)
0.999995 + 0.00328744i \(0.00104643\pi\)
\(758\) −24.0673 33.4150i −0.874165 1.21369i
\(759\) 11.8035 10.5857i 0.428438 0.384237i
\(760\) 2.51967 + 8.09447i 0.0913980 + 0.293617i
\(761\) 2.02003 + 2.33123i 0.0732259 + 0.0845072i 0.791180 0.611583i \(-0.209467\pi\)
−0.717955 + 0.696090i \(0.754921\pi\)
\(762\) −0.799852 15.0797i −0.0289756 0.546280i
\(763\) −21.6346 3.11058i −0.783224 0.112611i
\(764\) 20.9745 + 19.5716i 0.758829 + 0.708077i
\(765\) 7.13217 1.02545i 0.257864 0.0370753i
\(766\) 18.2207 6.41646i 0.658339 0.231836i
\(767\) 4.71264 3.02863i 0.170164 0.109357i
\(768\) −10.4237 12.1386i −0.376133 0.438015i
\(769\) 48.5247 14.2481i 1.74985 0.513801i 0.759271 0.650774i \(-0.225556\pi\)
0.990575 + 0.136973i \(0.0437374\pi\)
\(770\) −1.30521 + 14.4943i −0.0470366 + 0.522339i
\(771\) −5.26581 4.56285i −0.189643 0.164327i
\(772\) −0.713382 + 19.3683i −0.0256752 + 0.697082i
\(773\) 37.3993 17.0797i 1.34516 0.614313i 0.392893 0.919584i \(-0.371474\pi\)
0.952265 + 0.305271i