Properties

Label 552.2.bb.a.85.24
Level $552$
Weight $2$
Character 552.85
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 85.24
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.24

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.126837 + 1.40851i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.96782 - 0.357302i) q^{4} +(-0.902350 + 0.412090i) q^{5} +(-1.25349 + 0.654799i) q^{6} +(-3.01070 + 0.884022i) q^{7} +(0.752858 - 2.72639i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.126837 + 1.40851i) q^{2} +(0.540641 + 0.841254i) q^{3} +(-1.96782 - 0.357302i) q^{4} +(-0.902350 + 0.412090i) q^{5} +(-1.25349 + 0.654799i) q^{6} +(-3.01070 + 0.884022i) q^{7} +(0.752858 - 2.72639i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-0.465983 - 1.32324i) q^{10} +(-2.49850 + 2.16496i) q^{11} +(-0.763305 - 1.84861i) q^{12} +(0.168470 - 0.573755i) q^{13} +(-0.863291 - 4.35275i) q^{14} +(-0.834519 - 0.536313i) q^{15} +(3.74467 + 1.40622i) q^{16} +(1.03373 - 7.18972i) q^{17} +(-1.22854 - 0.700493i) q^{18} +(2.99071 - 0.429999i) q^{19} +(1.92291 - 0.488508i) 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} +(0.786774 + 0.310065i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(6.24040 - 0.663870i) q^{28} +(-3.65492 - 0.525498i) q^{29} +(0.861252 - 1.10741i) q^{30} +(-4.15121 - 2.66782i) q^{31} +(-2.45564 + 5.09606i) q^{32} +(-3.17207 - 0.931403i) q^{33} +(9.99571 + 2.36794i) q^{34} +(2.35241 - 2.03838i) q^{35} +(1.14248 - 1.64157i) q^{36} +(-1.10676 - 0.505438i) q^{37} +(0.226328 + 4.26699i) q^{38} +(0.573755 - 0.168470i) q^{39} +(0.444176 + 2.77040i) q^{40} +(-1.87780 - 4.11180i) q^{41} +(3.19503 - 3.07952i) q^{42} +(2.11759 + 3.29503i) q^{43} +(5.69015 - 3.36754i) q^{44} -0.991995i q^{45} +(3.45949 - 5.83369i) q^{46} -10.7244 q^{47} +(0.841537 + 3.91048i) q^{48} +(2.39407 - 1.53857i) q^{49} +(-3.94134 - 4.08919i) q^{50} +(6.60726 - 3.01743i) q^{51} +(-0.536523 + 1.06886i) q^{52} +(3.26973 + 11.1357i) q^{53} +(-0.0749069 - 1.41223i) q^{54} +(1.36236 - 2.98316i) q^{55} +(0.143559 + 8.87390i) q^{56} +(1.97864 + 2.28347i) q^{57} +(1.20375 - 5.08135i) q^{58} +(-2.63930 + 8.98864i) q^{59} +(1.45056 + 1.35355i) q^{60} +(1.77984 - 2.76949i) q^{61} +(4.28418 - 5.50866i) q^{62} +(0.446557 - 3.10587i) q^{63} +(-6.86641 - 4.10517i) q^{64} +(0.0844199 + 0.587153i) q^{65} +(1.71423 - 4.34977i) 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} +(2.16726 + 1.81741i) q^{72} +(0.343119 + 2.38644i) q^{73} +(0.852294 - 1.49477i) q^{74} +(-3.97507 - 0.571529i) q^{75} +(-6.03882 - 0.222424i) q^{76} +(5.60836 - 8.72678i) q^{77} +(0.164519 + 0.829511i) q^{78} +(7.19940 + 2.11394i) q^{79} +(-3.95849 + 0.274239i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(6.02971 - 2.12338i) q^{82} +(-13.8813 - 6.33937i) q^{83} +(3.93230 + 4.89084i) q^{84} +(2.03003 + 6.91364i) q^{85} +(-4.90968 + 2.56472i) q^{86} +(-1.53392 - 3.35882i) q^{87} +(4.02151 + 8.44178i) q^{88} +(7.20463 - 4.63013i) q^{89} +(1.39724 + 0.125821i) q^{90} +1.87634i q^{91} +(7.77804 + 5.61267i) q^{92} -4.93455i q^{93} +(1.36025 - 15.1055i) q^{94} +(-2.52147 + 1.62045i) q^{95} +(-5.61470 + 0.689325i) q^{96} +(-4.27028 - 9.35060i) q^{97} +(1.86345 + 3.56723i) 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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.126837 + 1.40851i −0.0896870 + 0.995970i
\(3\) 0.540641 + 0.841254i 0.312139 + 0.485698i
\(4\) −1.96782 0.357302i −0.983912 0.178651i
\(5\) −0.902350 + 0.412090i −0.403543 + 0.184292i −0.606838 0.794826i \(-0.707562\pi\)
0.203295 + 0.979118i \(0.434835\pi\)
\(6\) −1.25349 + 0.654799i −0.511735 + 0.267320i
\(7\) −3.01070 + 0.884022i −1.13794 + 0.334129i −0.795823 0.605529i \(-0.792962\pi\)
−0.342116 + 0.939658i \(0.611143\pi\)
\(8\) 0.752858 2.72639i 0.266175 0.963925i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −0.465983 1.32324i −0.147357 0.418446i
\(11\) −2.49850 + 2.16496i −0.753325 + 0.652760i −0.944394 0.328817i \(-0.893350\pi\)
0.191069 + 0.981577i \(0.438805\pi\)
\(12\) −0.763305 1.84861i −0.220347 0.533648i
\(13\) 0.168470 0.573755i 0.0467251 0.159131i −0.932826 0.360328i \(-0.882665\pi\)
0.979551 + 0.201197i \(0.0644830\pi\)
\(14\) −0.863291 4.35275i −0.230724 1.16332i
\(15\) −0.834519 0.536313i −0.215472 0.138475i
\(16\) 3.74467 + 1.40622i 0.936168 + 0.351554i
\(17\) 1.03373 7.18972i 0.250715 1.74376i −0.343223 0.939254i \(-0.611519\pi\)
0.593939 0.804510i \(-0.297572\pi\)
\(18\) −1.22854 0.700493i −0.289570 0.165108i
\(19\) 2.99071 0.429999i 0.686115 0.0986484i 0.209564 0.977795i \(-0.432796\pi\)
0.476551 + 0.879147i \(0.341887\pi\)
\(20\) 1.92291 0.488508i 0.429975 0.109234i
\(21\) −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
\(26\) 0.786774 + 0.310065i 0.154299 + 0.0608088i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) 6.24040 0.663870i 1.17933 0.125460i
\(29\) −3.65492 0.525498i −0.678701 0.0975825i −0.205661 0.978623i \(-0.565934\pi\)
−0.473040 + 0.881041i \(0.656843\pi\)
\(30\) 0.861252 1.10741i 0.157242 0.202184i
\(31\) −4.15121 2.66782i −0.745579 0.479154i 0.111871 0.993723i \(-0.464316\pi\)
−0.857449 + 0.514569i \(0.827952\pi\)
\(32\) −2.45564 + 5.09606i −0.434100 + 0.900865i
\(33\) −3.17207 0.931403i −0.552186 0.162136i
\(34\) 9.99571 + 2.36794i 1.71425 + 0.406098i
\(35\) 2.35241 2.03838i 0.397630 0.344549i
\(36\) 1.14248 1.64157i 0.190413 0.273595i
\(37\) −1.10676 0.505438i −0.181949 0.0830935i 0.322357 0.946618i \(-0.395525\pi\)
−0.504307 + 0.863524i \(0.668252\pi\)
\(38\) 0.226328 + 4.26699i 0.0367153 + 0.692197i
\(39\) 0.573755 0.168470i 0.0918744 0.0269768i
\(40\) 0.444176 + 2.77040i 0.0702304 + 0.438039i
\(41\) −1.87780 4.11180i −0.293263 0.642156i 0.704450 0.709754i \(-0.251194\pi\)
−0.997713 + 0.0675980i \(0.978466\pi\)
\(42\) 3.19503 3.07952i 0.493004 0.475180i
\(43\) 2.11759 + 3.29503i 0.322929 + 0.502487i 0.964324 0.264723i \(-0.0852806\pi\)
−0.641396 + 0.767210i \(0.721644\pi\)
\(44\) 5.69015 3.36754i 0.857822 0.507676i
\(45\) 0.991995i 0.147878i
\(46\) 3.45949 5.83369i 0.510074 0.860130i
\(47\) −10.7244 −1.56432 −0.782161 0.623077i \(-0.785882\pi\)
−0.782161 + 0.623077i \(0.785882\pi\)
\(48\) 0.841537 + 3.91048i 0.121465 + 0.564428i
\(49\) 2.39407 1.53857i 0.342010 0.219796i
\(50\) −3.94134 4.08919i −0.557390 0.578298i
\(51\) 6.60726 3.01743i 0.925201 0.422525i
\(52\) −0.536523 + 1.06886i −0.0744024 + 0.148224i
\(53\) 3.26973 + 11.1357i 0.449131 + 1.52960i 0.803968 + 0.594673i \(0.202718\pi\)
−0.354836 + 0.934928i \(0.615463\pi\)
\(54\) −0.0749069 1.41223i −0.0101935 0.192180i
\(55\) 1.36236 2.98316i 0.183701 0.402249i
\(56\) 0.143559 + 8.87390i 0.0191838 + 1.18582i
\(57\) 1.97864 + 2.28347i 0.262077 + 0.302453i
\(58\) 1.20375 5.08135i 0.158060 0.667214i
\(59\) −2.63930 + 8.98864i −0.343608 + 1.17022i 0.588638 + 0.808397i \(0.299664\pi\)
−0.932246 + 0.361825i \(0.882154\pi\)
\(60\) 1.45056 + 1.35355i 0.187267 + 0.174742i
\(61\) 1.77984 2.76949i 0.227886 0.354597i −0.708415 0.705796i \(-0.750590\pi\)
0.936301 + 0.351199i \(0.114226\pi\)
\(62\) 4.28418 5.50866i 0.544092 0.699600i
\(63\) 0.446557 3.10587i 0.0562608 0.391303i
\(64\) −6.86641 4.10517i −0.858301 0.513146i
\(65\) 0.0844199 + 0.587153i 0.0104710 + 0.0728274i
\(66\) 1.71423 4.34977i 0.211007 0.535419i
\(67\) 11.3100 + 9.80020i 1.38174 + 1.19729i 0.956331 + 0.292284i \(0.0944154\pi\)
0.425409 + 0.905001i \(0.360130\pi\)
\(68\) −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 0.138703 + 0.990334i \(0.455707\pi\)
−0.999993 + 0.00364846i \(0.998839\pi\)
\(72\) 2.16726 + 1.81741i 0.255414 + 0.214183i
\(73\) 0.343119 + 2.38644i 0.0401590 + 0.279312i 0.999999 0.00123524i \(-0.000393188\pi\)
−0.959840 + 0.280547i \(0.909484\pi\)
\(74\) 0.852294 1.49477i 0.0990772 0.173764i
\(75\) −3.97507 0.571529i −0.459001 0.0659944i
\(76\) −6.03882 0.222424i −0.692701 0.0255138i
\(77\) 5.60836 8.72678i 0.639132 0.994508i
\(78\) 0.164519 + 0.829511i 0.0186281 + 0.0939236i
\(79\) 7.19940 + 2.11394i 0.809996 + 0.237836i 0.660403 0.750911i \(-0.270385\pi\)
0.149593 + 0.988748i \(0.452204\pi\)
\(80\) −3.95849 + 0.274239i −0.442573 + 0.0306609i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 6.02971 2.12338i 0.665870 0.234488i
\(83\) −13.8813 6.33937i −1.52367 0.695836i −0.534848 0.844948i \(-0.679631\pi\)
−0.988820 + 0.149112i \(0.952359\pi\)
\(84\) 3.93230 + 4.89084i 0.429049 + 0.533635i
\(85\) 2.03003 + 6.91364i 0.220187 + 0.749889i
\(86\) −4.90968 + 2.56472i −0.529425 + 0.276561i
\(87\) −1.53392 3.35882i −0.164454 0.360103i
\(88\) 4.02151 + 8.44178i 0.428695 + 0.899897i
\(89\) 7.20463 4.63013i 0.763689 0.490793i −0.0998949 0.994998i \(-0.531851\pi\)
0.863584 + 0.504205i \(0.168214\pi\)
\(90\) 1.39724 + 0.125821i 0.147282 + 0.0132627i
\(91\) 1.87634i 0.196694i
\(92\) 7.77804 + 5.61267i 0.810917 + 0.585161i
\(93\) 4.93455i 0.511689i
\(94\) 1.36025 15.1055i 0.140299 1.55802i
\(95\) −2.52147 + 1.62045i −0.258697 + 0.166254i
\(96\) −5.61470 + 0.689325i −0.573048 + 0.0703539i
\(97\) −4.27028 9.35060i −0.433581 0.949410i −0.992732 0.120344i \(-0.961600\pi\)
0.559151 0.829066i \(-0.311127\pi\)
\(98\) 1.86345 + 3.56723i 0.188237 + 0.360344i
\(99\) −0.931403 3.17207i −0.0936095 0.318805i
\(100\) 6.25958 5.03278i 0.625958 0.503278i
\(101\) −9.66785 4.41516i −0.961987 0.439325i −0.128406 0.991722i \(-0.540986\pi\)
−0.833581 + 0.552397i \(0.813713\pi\)
\(102\) 3.41205 + 9.68913i 0.337844 + 0.959367i
\(103\) 5.84956 + 6.75075i 0.576374 + 0.665171i 0.966821 0.255454i \(-0.0822251\pi\)
−0.390447 + 0.920625i \(0.627680\pi\)
\(104\) −1.43745 0.891270i −0.140953 0.0873963i
\(105\) 2.98660 + 0.876946i 0.291463 + 0.0855812i
\(106\) −16.0995 + 3.19305i −1.56372 + 0.310136i
\(107\) 1.50024 2.33442i 0.145034 0.225677i −0.761135 0.648594i \(-0.775357\pi\)
0.906169 + 0.422917i \(0.138994\pi\)
\(108\) 1.99864 + 0.0736148i 0.192320 + 0.00708359i
\(109\) −6.89481 0.991323i −0.660403 0.0949516i −0.196039 0.980596i \(-0.562808\pi\)
−0.464364 + 0.885645i \(0.653717\pi\)
\(110\) 4.02902 + 2.29728i 0.384152 + 0.219037i
\(111\) −0.173155 1.20432i −0.0164352 0.114309i
\(112\) −12.5172 0.923331i −1.18277 0.0872465i
\(113\) −0.809453 + 0.934158i −0.0761469 + 0.0878782i −0.792545 0.609814i \(-0.791244\pi\)
0.716398 + 0.697692i \(0.245790\pi\)
\(114\) −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
\(118\) −12.3259 4.85759i −1.13469 0.447177i
\(119\) 3.24363 + 22.5600i 0.297343 + 2.06807i
\(120\) −2.09047 + 1.87146i −0.190833 + 0.170840i
\(121\) −0.0100298 + 0.0697587i −0.000911799 + 0.00634170i
\(122\) 3.67512 + 2.85821i 0.332730 + 0.258770i
\(123\) 2.44385 3.80271i 0.220355 0.342879i
\(124\) 7.21563 + 6.73303i 0.647983 + 0.604644i
\(125\) 2.51975 8.58149i 0.225373 0.767552i
\(126\) 4.31802 + 1.02292i 0.384680 + 0.0911289i
\(127\) 6.99257 + 8.06986i 0.620490 + 0.716084i 0.975800 0.218665i \(-0.0701701\pi\)
−0.355310 + 0.934749i \(0.615625\pi\)
\(128\) 6.65310 9.15075i 0.588057 0.808820i
\(129\) −1.62710 + 3.56285i −0.143258 + 0.313692i
\(130\) −0.837721 + 0.0444341i −0.0734730 + 0.00389713i
\(131\) 3.28522 + 11.1884i 0.287031 + 0.977537i 0.969186 + 0.246330i \(0.0792246\pi\)
−0.682155 + 0.731207i \(0.738957\pi\)
\(132\) 5.90928 + 2.96623i 0.514337 + 0.258177i
\(133\) −8.62400 + 3.93845i −0.747796 + 0.341507i
\(134\) −15.2383 + 14.6873i −1.31638 + 1.26879i
\(135\) 0.834519 0.536313i 0.0718240 0.0461585i
\(136\) −18.8237 8.23118i −1.61412 0.705818i
\(137\) −9.30526 −0.795002 −0.397501 0.917602i \(-0.630122\pi\)
−0.397501 + 0.917602i \(0.630122\pi\)
\(138\) 6.77795 0.243621i 0.576978 0.0207384i
\(139\) 18.7334i 1.58895i 0.607298 + 0.794474i \(0.292253\pi\)
−0.607298 + 0.794474i \(0.707747\pi\)
\(140\) −5.35746 + 3.17065i −0.452788 + 0.267969i
\(141\) −5.79807 9.02198i −0.488286 0.759788i
\(142\) −10.8764 11.2844i −0.912730 0.946967i
\(143\) 0.821236 + 1.79825i 0.0686752 + 0.150378i
\(144\) −2.83473 + 2.82211i −0.236228 + 0.235176i
\(145\) 3.51457 1.03197i 0.291869 0.0857005i
\(146\) −3.40486 + 0.180599i −0.281788 + 0.0149465i
\(147\) 2.58866 + 1.18220i 0.213509 + 0.0975064i
\(148\) 1.99731 + 1.39006i 0.164178 + 0.114262i
\(149\) −1.66588 + 1.44350i −0.136474 + 0.118256i −0.720423 0.693535i \(-0.756052\pi\)
0.583949 + 0.811791i \(0.301507\pi\)
\(150\) 1.30919 5.52645i 0.106895 0.451233i
\(151\) −18.7700 5.51135i −1.52748 0.448508i −0.593200 0.805055i \(-0.702136\pi\)
−0.934277 + 0.356548i \(0.883954\pi\)
\(152\) 1.07923 8.47756i 0.0875373 0.687621i
\(153\) 6.11058 + 3.92703i 0.494011 + 0.317482i
\(154\) 11.5804 + 9.00633i 0.933179 + 0.725750i
\(155\) 4.84522 + 0.696638i 0.389178 + 0.0559553i
\(156\) −1.18924 + 0.126515i −0.0952158 + 0.0101293i
\(157\) −4.61443 + 0.663455i −0.368272 + 0.0529495i −0.323966 0.946069i \(-0.605017\pi\)
−0.0443053 + 0.999018i \(0.514107\pi\)
\(158\) −3.89066 + 9.87234i −0.309524 + 0.785401i
\(159\) −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 \(-0.476535\pi\)
−0.976651 + 0.214830i \(0.931080\pi\)
\(164\) 2.22602 + 8.76225i 0.173823 + 0.684217i
\(165\) 3.24614 0.466724i 0.252711 0.0363344i
\(166\) 10.6897 18.7479i 0.829685 1.45512i
\(167\) 1.20591 8.38727i 0.0933159 0.649026i −0.888456 0.458962i \(-0.848221\pi\)
0.981772 0.190064i \(-0.0608696\pi\)
\(168\) −7.38758 + 4.91836i −0.569964 + 0.379460i
\(169\) 10.6355 + 6.83501i 0.818114 + 0.525770i
\(170\) −9.99544 + 1.98242i −0.766615 + 0.152045i
\(171\) −0.851244 + 2.89907i −0.0650962 + 0.221697i
\(172\) −2.98972 7.24066i −0.227964 0.552095i
\(173\) −3.13403 + 2.71565i −0.238276 + 0.206467i −0.765811 0.643066i \(-0.777662\pi\)
0.527535 + 0.849534i \(0.323117\pi\)
\(174\) 4.92550 1.73453i 0.373401 0.131494i
\(175\) 5.23475 11.4625i 0.395710 0.866485i
\(176\) −12.4004 + 4.59363i −0.934718 + 0.346258i
\(177\) −8.98864 + 2.63930i −0.675628 + 0.198382i
\(178\) 5.60780 + 10.7351i 0.420322 + 0.804629i
\(179\) −5.29111 + 2.41637i −0.395476 + 0.180608i −0.603219 0.797576i \(-0.706116\pi\)
0.207743 + 0.978183i \(0.433388\pi\)
\(180\) −0.354442 + 1.95207i −0.0264186 + 0.145499i
\(181\) −2.65313 4.12835i −0.197206 0.306858i 0.728541 0.685002i \(-0.240199\pi\)
−0.925747 + 0.378144i \(0.876562\pi\)
\(182\) −2.64285 0.237988i −0.195901 0.0176409i
\(183\) 3.29210 0.243359
\(184\) −8.89206 + 10.2436i −0.655532 + 0.755168i
\(185\) 1.20697 0.0887380
\(186\) 6.95038 + 0.625881i 0.509627 + 0.0458918i
\(187\) 12.9827 + 20.2015i 0.949389 + 1.47728i
\(188\) 21.1038 + 3.83187i 1.53916 + 0.279468i
\(189\) 2.85425 1.30349i 0.207616 0.0948151i
\(190\) −1.96261 3.75705i −0.142383 0.272565i
\(191\) 13.7628 4.04111i 0.995839 0.292405i 0.257091 0.966387i \(-0.417236\pi\)
0.738747 + 0.673982i \(0.235418\pi\)
\(192\) −0.258775 7.99581i −0.0186754 0.577048i
\(193\) 4.02568 8.81500i 0.289775 0.634518i −0.707625 0.706588i \(-0.750233\pi\)
0.997400 + 0.0720705i \(0.0229607\pi\)
\(194\) 13.7121 4.82875i 0.984470 0.346684i
\(195\) −0.448304 + 0.388457i −0.0321037 + 0.0278180i
\(196\) −5.26084 + 2.17224i −0.375775 + 0.155160i
\(197\) 7.07656 24.1006i 0.504184 1.71709i −0.176305 0.984336i \(-0.556415\pi\)
0.680489 0.732758i \(-0.261767\pi\)
\(198\) 4.58604 0.909560i 0.325916 0.0646396i
\(199\) 2.07141 + 1.33121i 0.146838 + 0.0943672i 0.611997 0.790860i \(-0.290366\pi\)
−0.465159 + 0.885227i \(0.654003\pi\)
\(200\) 6.29480 + 9.45505i 0.445110 + 0.668573i
\(201\) −2.12979 + 14.8130i −0.150224 + 1.04483i
\(202\) 7.44506 13.0573i 0.523832 0.918709i
\(203\) 11.4684 1.64891i 0.804926 0.115731i
\(204\) −14.0801 + 3.57699i −0.985801 + 0.250439i
\(205\) 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
\(210\) −1.61400 + 4.09544i −0.111377 + 0.282613i
\(211\) −7.51478 + 1.08046i −0.517339 + 0.0743821i −0.396039 0.918234i \(-0.629615\pi\)
−0.121300 + 0.992616i \(0.538706\pi\)
\(212\) −2.45545 23.0813i −0.168641 1.58523i
\(213\) −10.9695 1.57718i −0.751618 0.108066i
\(214\) 3.09778 + 2.40920i 0.211760 + 0.164690i
\(215\) −3.26865 2.10064i −0.222920 0.143262i
\(216\) −0.357189 + 2.80578i −0.0243036 + 0.190909i
\(217\) 14.8565 + 4.36225i 1.00852 + 0.296129i
\(218\) 2.27081 9.58570i 0.153798 0.649225i
\(219\) −1.82210 + 1.57886i −0.123126 + 0.106689i
\(220\) −3.74678 + 5.38355i −0.252608 + 0.362959i
\(221\) −3.95099 1.80436i −0.265772 0.121374i
\(222\) 1.71827 0.0911397i 0.115323 0.00611690i
\(223\) 10.8149 3.17555i 0.724221 0.212650i 0.101212 0.994865i \(-0.467728\pi\)
0.623009 + 0.782215i \(0.285910\pi\)
\(224\) 2.88817 17.5136i 0.192974 1.17017i
\(225\) −1.66828 3.65303i −0.111219 0.243536i
\(226\) −1.21311 1.25861i −0.0806947 0.0837216i
\(227\) −8.15500 12.6894i −0.541266 0.842227i 0.457633 0.889141i \(-0.348697\pi\)
−0.998899 + 0.0469146i \(0.985061\pi\)
\(228\) −3.07772 5.20043i −0.203827 0.344407i
\(229\) 5.98284i 0.395357i −0.980267 0.197679i \(-0.936660\pi\)
0.980267 0.197679i \(-0.0633402\pi\)
\(230\) −0.717671 + 6.68965i −0.0473218 + 0.441103i
\(231\) 10.3735 0.682529
\(232\) −4.18434 + 9.56911i −0.274716 + 0.628243i
\(233\) 14.1417 9.08830i 0.926452 0.595395i 0.0119291 0.999929i \(-0.496203\pi\)
0.914523 + 0.404534i \(0.132566\pi\)
\(234\) −0.608883 + 0.586869i −0.0398039 + 0.0383649i
\(235\) 9.67721 4.41943i 0.631272 0.288292i
\(236\) 8.40535 16.7450i 0.547142 1.09001i
\(237\) 2.11394 + 7.19940i 0.137315 + 0.467651i
\(238\) −32.1874 + 1.70727i −2.08640 + 0.110666i
\(239\) −4.81675 + 10.5472i −0.311570 + 0.682243i −0.999033 0.0439768i \(-0.985997\pi\)
0.687463 + 0.726220i \(0.258724\pi\)
\(240\) −2.37083 3.18183i −0.153036 0.205386i
\(241\) 18.5133 + 21.3655i 1.19255 + 1.37627i 0.908726 + 0.417394i \(0.137057\pi\)
0.283820 + 0.958877i \(0.408398\pi\)
\(242\) −0.0969840 0.0229751i −0.00623437 0.00147689i
\(243\) 0.281733 0.959493i 0.0180732 0.0615515i
\(244\) −4.49197 + 4.81393i −0.287569 + 0.308180i
\(245\) −1.52626 + 2.37490i −0.0975090 + 0.151727i
\(246\) 5.04620 + 3.92453i 0.321734 + 0.250219i
\(247\) 0.257130 1.78838i 0.0163608 0.113792i
\(248\) −10.3988 + 9.30932i −0.660323 + 0.591142i
\(249\) −2.17177 15.1050i −0.137630 0.957241i
\(250\) 11.7676 + 4.63755i 0.744245 + 0.293305i
\(251\) −4.63050 4.01235i −0.292275 0.253257i 0.496364 0.868115i \(-0.334668\pi\)
−0.788638 + 0.614857i \(0.789214\pi\)
\(252\) −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
\(256\) 12.0451 + 10.5316i 0.752819 + 0.658227i
\(257\) −0.991602 6.89674i −0.0618544 0.430207i −0.997093 0.0761898i \(-0.975725\pi\)
0.935239 0.354017i \(-0.115185\pi\)
\(258\) −4.81196 2.74370i −0.299579 0.170815i
\(259\) 3.77893 + 0.543328i 0.234811 + 0.0337608i
\(260\) 0.0436676 1.18558i 0.00270815 0.0735264i
\(261\) 1.99632 3.10633i 0.123569 0.192277i
\(262\) −16.1757 + 3.20817i −0.999340 + 0.198202i
\(263\) 22.0394 + 6.47135i 1.35901 + 0.399041i 0.878413 0.477902i \(-0.158603\pi\)
0.480594 + 0.876943i \(0.340421\pi\)
\(264\) −4.92748 + 7.94708i −0.303266 + 0.489109i
\(265\) −7.53933 8.70085i −0.463137 0.534489i
\(266\) −4.45352 12.6466i −0.273063 0.775411i
\(267\) 7.79023 + 3.55768i 0.476755 + 0.217727i
\(268\) −18.7545 23.3262i −1.14562 1.42487i
\(269\) 7.23136 + 24.6277i 0.440904 + 1.50158i 0.817897 + 0.575364i \(0.195140\pi\)
−0.376993 + 0.926216i \(0.623042\pi\)
\(270\) 0.649557 + 1.24346i 0.0395308 + 0.0756744i
\(271\) −7.54370 16.5184i −0.458247 1.00342i −0.987884 0.155197i \(-0.950399\pi\)
0.529636 0.848225i \(-0.322328\pi\)
\(272\) 13.9813 25.4695i 0.847739 1.54432i
\(273\) −1.57848 + 1.01443i −0.0955337 + 0.0613958i
\(274\) 1.18025 13.1066i 0.0713014 0.791798i
\(275\) 13.2766i 0.800612i
\(276\) −0.516549 + 9.57774i −0.0310926 + 0.576512i
\(277\) 20.6989i 1.24367i 0.783147 + 0.621837i \(0.213613\pi\)
−0.783147 + 0.621837i \(0.786387\pi\)
\(278\) −26.3863 2.37608i −1.58254 0.142508i
\(279\) 4.15121 2.66782i 0.248526 0.159718i
\(280\) −3.78638 7.94821i −0.226280 0.474996i
\(281\) −9.94247 21.7710i −0.593118 1.29875i −0.933540 0.358474i \(-0.883297\pi\)
0.340422 0.940273i \(-0.389430\pi\)
\(282\) 13.4430 7.02235i 0.800519 0.418175i
\(283\) −8.20725 27.9513i −0.487870 1.66153i −0.723991 0.689809i \(-0.757694\pi\)
0.236121 0.971724i \(-0.424124\pi\)
\(284\) 17.2738 13.8883i 1.02501 0.824121i
\(285\) −2.72642 1.24511i −0.161499 0.0737541i
\(286\) −2.63703 + 0.928637i −0.155931 + 0.0549115i
\(287\) 9.28842 + 10.7194i 0.548278 + 0.632746i
\(288\) −3.61543 4.35071i −0.213041 0.256368i
\(289\) −34.3122 10.0750i −2.01836 0.592645i
\(290\) 1.00777 + 5.08121i 0.0591782 + 0.298379i
\(291\) 5.55754 8.64770i 0.325789 0.506937i
\(292\) 0.177484 4.81870i 0.0103865 0.281993i
\(293\) 22.9413 + 3.29846i 1.34024 + 0.192698i 0.774861 0.632131i \(-0.217820\pi\)
0.565382 + 0.824829i \(0.308729\pi\)
\(294\) −1.99349 + 3.49622i −0.116262 + 0.203904i
\(295\) −1.32255 9.19853i −0.0770018 0.535559i
\(296\) −2.21125 + 2.63692i −0.128526 + 0.153268i
\(297\) 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
\(302\) 10.1435 25.7387i 0.583695 1.48110i
\(303\) −1.51257 10.5201i −0.0868947 0.604366i
\(304\) 11.8039 + 2.59538i 0.676999 + 0.148855i
\(305\) −0.464764 + 3.23251i −0.0266123 + 0.185093i
\(306\) −6.30632 + 8.10874i −0.360508 + 0.463546i
\(307\) −3.37016 + 5.24407i −0.192345 + 0.299295i −0.924009 0.382371i \(-0.875108\pi\)
0.731664 + 0.681666i \(0.238744\pi\)
\(308\) −14.1544 + 15.1689i −0.806520 + 0.864328i
\(309\) −2.51658 + 8.57069i −0.143163 + 0.487570i
\(310\) −1.59578 + 6.73621i −0.0906340 + 0.382591i
\(311\) −7.95973 9.18602i −0.451355 0.520891i 0.483777 0.875191i \(-0.339265\pi\)
−0.935132 + 0.354300i \(0.884719\pi\)
\(312\) −0.0273583 1.69111i −0.00154886 0.0957405i
\(313\) −5.52422 + 12.0964i −0.312247 + 0.683726i −0.999071 0.0430979i \(-0.986277\pi\)
0.686823 + 0.726824i \(0.259005\pi\)
\(314\) −0.349207 6.58364i −0.0197069 0.371537i
\(315\) 0.876946 + 2.98660i 0.0494103 + 0.168276i
\(316\) −13.4119 6.73222i −0.754476 0.378717i
\(317\) 2.27569 1.03927i 0.127815 0.0583714i −0.350481 0.936570i \(-0.613982\pi\)
0.478296 + 0.878199i \(0.341255\pi\)
\(318\) −11.3902 11.8174i −0.638730 0.662689i
\(319\) 10.2695 6.59979i 0.574980 0.369517i
\(320\) 7.88761 + 0.874724i 0.440931 + 0.0488985i
\(321\) 2.77494 0.154882
\(322\) −5.25839 + 20.6218i −0.293039 + 1.14921i
\(323\) 21.9468i 1.22116i
\(324\) 1.01862 + 1.72117i 0.0565900 + 0.0956203i
\(325\) 1.29832 + 2.02022i 0.0720178 + 0.112062i
\(326\) 15.5329 14.9713i 0.860288 0.829185i
\(327\) −2.89366 6.33623i −0.160020 0.350394i
\(328\) −12.6241 + 2.02401i −0.697049 + 0.111757i
\(329\) 32.2881 9.48065i 1.78010 0.522685i
\(330\) 0.245659 + 4.63143i 0.0135231 + 0.254952i
\(331\) 4.98028 + 2.27442i 0.273741 + 0.125013i 0.547556 0.836769i \(-0.315558\pi\)
−0.273815 + 0.961782i \(0.588286\pi\)
\(332\) 25.0509 + 17.4346i 1.37484 + 0.956847i
\(333\) 0.919526 0.796774i 0.0503897 0.0436629i
\(334\) 11.6606 + 2.76235i 0.638042 + 0.151149i
\(335\) −14.2442 4.18247i −0.778243 0.228513i
\(336\) −5.99057 11.0293i −0.326812 0.601700i
\(337\) 0.206079 + 0.132439i 0.0112258 + 0.00721440i 0.546242 0.837628i \(-0.316058\pi\)
−0.535016 + 0.844842i \(0.679694\pi\)
\(338\) −10.9762 + 14.1133i −0.597025 + 0.767662i
\(339\) −1.22349 0.175911i −0.0664507 0.00955417i
\(340\) −1.52448 14.3302i −0.0826765 0.777162i
\(341\) 16.1475 2.32166i 0.874435 0.125725i
\(342\) −3.97541 1.56670i −0.214966 0.0847173i
\(343\) 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 \(-0.177627\pi\)
−0.403402 + 0.915023i \(0.632172\pi\)
\(348\) 1.81837 + 7.15764i 0.0974751 + 0.383690i
\(349\) 3.03469 0.436323i 0.162443 0.0233558i −0.0606133 0.998161i \(-0.519306\pi\)
0.223057 + 0.974806i \(0.428397\pi\)
\(350\) 15.4812 + 8.82709i 0.827503 + 0.471828i
\(351\) −0.0851011 + 0.591891i −0.00454236 + 0.0315928i
\(352\) −4.89736 18.0488i −0.261030 0.962006i
\(353\) −0.0950748 0.0611008i −0.00506032 0.00325207i 0.538108 0.842876i \(-0.319139\pi\)
−0.543169 + 0.839624i \(0.682776\pi\)
\(354\) −2.57741 12.9954i −0.136988 0.690697i
\(355\) 3.09725 10.5483i 0.164385 0.559844i
\(356\) −15.8318 + 6.53706i −0.839084 + 0.346464i
\(357\) −17.2250 + 14.9256i −0.911644 + 0.789944i
\(358\) −2.73238 7.75909i −0.144411 0.410081i
\(359\) −5.17269 + 11.3266i −0.273004 + 0.597796i −0.995624 0.0934500i \(-0.970210\pi\)
0.722620 + 0.691246i \(0.242938\pi\)
\(360\) −2.70457 0.746831i −0.142543 0.0393615i
\(361\) −9.47094 + 2.78092i −0.498471 + 0.146364i
\(362\) 6.15135 3.21334i 0.323308 0.168890i
\(363\) −0.0641073 + 0.0292768i −0.00336476 + 0.00153663i
\(364\) 0.670420 3.69231i 0.0351396 0.193529i
\(365\) −1.29304 2.01201i −0.0676809 0.105313i
\(366\) −0.417559 + 4.63697i −0.0218262 + 0.242378i
\(367\) 4.13419 0.215803 0.107901 0.994162i \(-0.465587\pi\)
0.107901 + 0.994162i \(0.465587\pi\)
\(368\) −13.3004 13.8239i −0.693332 0.720619i
\(369\) 4.52029 0.235317
\(370\) −0.153088 + 1.70003i −0.00795865 + 0.0883804i
\(371\) −19.6884 30.6357i −1.02217 1.59053i
\(372\) −1.76313 + 9.71033i −0.0914138 + 0.503457i
\(373\) 13.7159 6.26383i 0.710181 0.324329i −0.0273649 0.999626i \(-0.508712\pi\)
0.737546 + 0.675296i \(0.235984\pi\)
\(374\) −30.1007 + 15.7240i −1.55647 + 0.813070i
\(375\) 8.58149 2.51975i 0.443146 0.130119i
\(376\) −8.07398 + 29.2390i −0.416384 + 1.50789i
\(377\) −0.917250 + 2.00850i −0.0472408 + 0.103443i
\(378\) 1.47396 + 4.18558i 0.0758125 + 0.215283i
\(379\) −22.0065 + 19.0687i −1.13040 + 0.979494i −0.999928 0.0119583i \(-0.996193\pi\)
−0.130468 + 0.991453i \(0.541648\pi\)
\(380\) 5.54079 2.28783i 0.284237 0.117363i
\(381\) −3.00833 + 10.2454i −0.154121 + 0.524889i
\(382\) 3.94634 + 19.8976i 0.201912 + 1.01805i
\(383\) −11.4911 7.38488i −0.587168 0.377350i 0.213066 0.977038i \(-0.431655\pi\)
−0.800234 + 0.599688i \(0.795291\pi\)
\(384\) 11.2950 + 0.649674i 0.576398 + 0.0331535i
\(385\) −1.46449 + 10.1858i −0.0746373 + 0.519114i
\(386\) 11.9055 + 6.78829i 0.605972 + 0.345515i
\(387\) −3.87694 + 0.557420i −0.197076 + 0.0283353i
\(388\) 5.06216 + 19.9261i 0.256992 + 1.01160i
\(389\) 15.0671 + 13.0557i 0.763931 + 0.661950i 0.947030 0.321144i \(-0.104067\pi\)
−0.183099 + 0.983094i \(0.558613\pi\)
\(390\) −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
\(394\) 33.0484 + 13.0243i 1.66495 + 0.656153i
\(395\) −7.36752 + 1.05929i −0.370700 + 0.0532986i
\(396\) 0.699451 + 6.57487i 0.0351487 + 0.330399i
\(397\) 17.7183 + 2.54751i 0.889256 + 0.127856i 0.571776 0.820410i \(-0.306255\pi\)
0.317479 + 0.948265i \(0.397164\pi\)
\(398\) −2.13776 + 2.74876i −0.107156 + 0.137783i
\(399\) −7.97572 5.12569i −0.399285 0.256605i
\(400\) −14.1160 + 7.66707i −0.705800 + 0.383353i
\(401\) −34.8160 10.2229i −1.73863 0.510507i −0.750071 0.661357i \(-0.769981\pi\)
−0.988557 + 0.150850i \(0.951799\pi\)
\(402\) −20.5942 4.87867i −1.02714 0.243326i
\(403\) −2.23003 + 1.93233i −0.111086 + 0.0962562i
\(404\) 17.4471 + 12.1426i 0.868026 + 0.604117i
\(405\) 0.902350 + 0.412090i 0.0448382 + 0.0204769i
\(406\) 0.867898 + 16.3626i 0.0430731 + 0.812061i
\(407\) 3.85948 1.13324i 0.191307 0.0561728i
\(408\) −3.25238 20.2857i −0.161017 1.00429i
\(409\) 9.83929 + 21.5450i 0.486522 + 1.06533i 0.980619 + 0.195927i \(0.0627715\pi\)
−0.494097 + 0.869407i \(0.664501\pi\)
\(410\) −4.56589 + 4.40081i −0.225493 + 0.217340i
\(411\) −5.03080 7.82808i −0.248151 0.386131i
\(412\) −9.09885 15.3744i −0.448268 0.757440i
\(413\) 29.3953i 1.44645i
\(414\) 3.86939 + 5.57027i 0.190170 + 0.273764i
\(415\) 15.1382 0.743104
\(416\) 2.51019 + 2.26747i 0.123072 + 0.111172i
\(417\) −15.7596 + 10.1280i −0.771749 + 0.495973i
\(418\) −9.80334 10.1711i −0.479497 0.497483i
\(419\) 20.7062 9.45622i 1.01157 0.461966i 0.160505 0.987035i \(-0.448688\pi\)
0.851060 + 0.525068i \(0.175960\pi\)
\(420\) −5.56378 2.79280i −0.271485 0.136275i
\(421\) 6.47643 + 22.0567i 0.315642 + 1.07498i 0.952637 + 0.304110i \(0.0983590\pi\)
−0.636995 + 0.770868i \(0.719823\pi\)
\(422\) −0.568698 10.7217i −0.0276838 0.521925i
\(423\) 4.45510 9.75530i 0.216614 0.474319i
\(424\) 32.8218 0.530980i 1.59397 0.0257866i
\(425\) 19.1026 + 22.0456i 0.926612 + 1.06937i
\(426\) 3.61281 15.2507i 0.175041 0.738897i
\(427\) −2.91029 + 9.91154i −0.140839 + 0.479653i
\(428\) −3.78631 + 4.05770i −0.183018 + 0.196136i
\(429\) −1.06879 + 1.66308i −0.0516019 + 0.0802941i
\(430\) 3.37336 4.33751i 0.162678 0.209173i
\(431\) −5.07911 + 35.3260i −0.244652 + 1.70159i 0.383532 + 0.923528i \(0.374708\pi\)
−0.628184 + 0.778065i \(0.716201\pi\)
\(432\) −3.90668 0.858982i −0.187960 0.0413278i
\(433\) −1.39665 9.71391i −0.0671187 0.466821i −0.995467 0.0951090i \(-0.969680\pi\)
0.928348 0.371712i \(-0.121229\pi\)
\(434\) −8.02864 + 20.3722i −0.385387 + 0.977899i
\(435\) 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 −0.607384 0.794408i \(-0.707781\pi\)
0.872762 + 0.488146i \(0.162327\pi\)
\(440\) −7.10758 5.96022i −0.338841 0.284142i
\(441\) 0.405004 + 2.81687i 0.0192859 + 0.134137i
\(442\) 3.04259 5.33617i 0.144721 0.253816i
\(443\) −19.3736 2.78551i −0.920469 0.132343i −0.334239 0.942488i \(-0.608479\pi\)
−0.586230 + 0.810145i \(0.699388\pi\)
\(444\) −0.0895677 + 2.43176i −0.00425069 + 0.115406i
\(445\) −4.59307 + 7.14696i −0.217732 + 0.338798i
\(446\) 3.10108 + 15.6357i 0.146840 + 0.740374i
\(447\) −2.11499 0.621017i −0.100036 0.0293731i
\(448\) 24.3018 + 6.28939i 1.14815 + 0.297146i
\(449\) 1.54465 + 1.78263i 0.0728967 + 0.0841273i 0.791026 0.611782i \(-0.209547\pi\)
−0.718130 + 0.695909i \(0.755002\pi\)
\(450\) 5.35695 1.88646i 0.252529 0.0889288i
\(451\) 13.5935 + 6.20797i 0.640095 + 0.292322i
\(452\) 1.92664 1.54904i 0.0906214 0.0728607i
\(453\) −5.51135 18.7700i −0.258946 0.881889i
\(454\) 18.9076 9.87695i 0.887377 0.463548i
\(455\) −0.773220 1.69311i −0.0362491 0.0793744i
\(456\) 7.71525 3.67541i 0.361300 0.172117i
\(457\) −10.2074 + 6.55991i −0.477483 + 0.306860i −0.757154 0.653236i \(-0.773411\pi\)
0.279671 + 0.960096i \(0.409775\pi\)
\(458\) 8.42691 + 0.758843i 0.393764 + 0.0354584i
\(459\) 7.26366i 0.339039i
\(460\) −9.33144 1.85934i −0.435081 0.0866923i
\(461\) 26.7671i 1.24667i 0.781956 + 0.623334i \(0.214222\pi\)
−0.781956 + 0.623334i \(0.785778\pi\)
\(462\) −1.31574 + 14.6113i −0.0612140 + 0.679778i
\(463\) 5.27314 3.38884i 0.245064 0.157493i −0.412343 0.911029i \(-0.635290\pi\)
0.657407 + 0.753536i \(0.271653\pi\)
\(464\) −12.9475 7.10742i −0.601072 0.329954i
\(465\) 2.03348 + 4.45269i 0.0943002 + 0.206489i
\(466\) 11.0073 + 21.0715i 0.509904 + 0.976118i
\(467\) −5.87212 19.9986i −0.271729 0.925425i −0.976414 0.215905i \(-0.930730\pi\)
0.704685 0.709520i \(-0.251088\pi\)
\(468\) −0.749385 0.932057i −0.0346403 0.0430844i
\(469\) −42.7148 19.5072i −1.97238 0.900758i
\(470\) 4.99741 + 14.1910i 0.230513 + 0.654584i
\(471\) −3.05288 3.52322i −0.140669 0.162341i
\(472\) 22.5195 + 13.9629i 1.03655 + 0.642696i
\(473\) −12.4244 3.64813i −0.571274 0.167741i
\(474\) −10.4086 + 2.06436i −0.478082 + 0.0948192i
\(475\) −6.56015 + 10.2078i −0.301000 + 0.468365i
\(476\) 1.67783 45.5530i 0.0769030 2.08792i
\(477\) −11.4876 1.65167i −0.525983 0.0756250i
\(478\) −14.2450 8.12224i −0.651550 0.371503i
\(479\) −2.23867 15.5703i −0.102288 0.711426i −0.974840 0.222906i \(-0.928446\pi\)
0.872552 0.488521i \(-0.162463\pi\)
\(480\) 4.78236 2.93577i 0.218284 0.133999i
\(481\) −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
\(486\) 1.31573 + 0.518523i 0.0596825 + 0.0235207i
\(487\) 3.43131 + 23.8653i 0.155488 + 1.08144i 0.906820 + 0.421517i \(0.138502\pi\)
−0.751333 + 0.659924i \(0.770589\pi\)
\(488\) −6.21075 6.93758i −0.281147 0.314050i
\(489\) 2.17097 15.0994i 0.0981747 0.682820i
\(490\) −3.15150 2.45098i −0.142370 0.110724i
\(491\) −4.64077 + 7.22118i −0.209435 + 0.325887i −0.930040 0.367459i \(-0.880228\pi\)
0.720605 + 0.693346i \(0.243864\pi\)
\(492\) −6.16780 + 6.60988i −0.278066 + 0.297996i
\(493\) −7.55637 + 25.7346i −0.340322 + 1.15903i
\(494\) 2.48634 + 0.589002i 0.111866 + 0.0265005i
\(495\) 2.14763 + 2.47849i 0.0965287 + 0.111400i
\(496\) −11.7934 15.8276i −0.529538 0.710680i
\(497\) 14.4457 31.6317i 0.647978 1.41887i
\(498\) 21.5511 1.14310i 0.965727 0.0512237i
\(499\) −10.7896 36.7461i −0.483010 1.64498i −0.735607 0.677409i \(-0.763103\pi\)
0.252597 0.967572i \(-0.418715\pi\)
\(500\) −8.02462 + 15.9866i −0.358872 + 0.714940i
\(501\) 7.70778 3.52003i 0.344358 0.157263i
\(502\) 6.23877 6.01321i 0.278450 0.268383i
\(503\) 14.6491 9.41438i 0.653169 0.419767i −0.171654 0.985157i \(-0.554911\pi\)
0.824823 + 0.565391i \(0.191275\pi\)
\(504\) −8.13162 3.55576i −0.362211 0.158386i
\(505\) 10.5432 0.469168
\(506\) 3.98617 + 22.0651i 0.177207 + 0.980913i
\(507\) 12.6424i 0.561470i
\(508\) −10.8768 18.3785i −0.482579 0.815415i
\(509\) 14.7678 + 22.9792i 0.654573 + 1.01853i 0.996879 + 0.0789465i \(0.0251556\pi\)
−0.342306 + 0.939588i \(0.611208\pi\)
\(510\) −7.07166 7.33692i −0.313138 0.324884i
\(511\) −3.14270 6.88155i −0.139025 0.304422i
\(512\) −16.3617 + 15.6299i −0.723093 + 0.690751i
\(513\) −2.89907 + 0.851244i −0.127997 + 0.0375833i
\(514\) 9.83993 0.521926i 0.434021 0.0230212i
\(515\) −8.06026 3.68100i −0.355178 0.162204i
\(516\) 4.47487 6.42971i 0.196995 0.283052i
\(517\) 26.7950 23.2180i 1.17844 1.02113i
\(518\) −1.24459 + 5.25377i −0.0546843 + 0.230837i
\(519\) −3.97894 1.16832i −0.174656 0.0512836i
\(520\) 1.66436 + 0.211881i 0.0729872 + 0.00929160i
\(521\) −7.65683 4.92074i −0.335452 0.215582i 0.362061 0.932155i \(-0.382073\pi\)
−0.697512 + 0.716573i \(0.745710\pi\)
\(522\) 4.12210 + 3.20584i 0.180420 + 0.140316i
\(523\) −0.577875 0.0830858i −0.0252687 0.00363309i 0.129669 0.991557i \(-0.458609\pi\)
−0.154938 + 0.987924i \(0.549518\pi\)
\(524\) −2.46708 23.1907i −0.107775 1.01309i
\(525\) 12.4730 1.79335i 0.544366 0.0782681i
\(526\) −11.9104 + 30.2220i −0.519318 + 1.31774i
\(527\) −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
\(532\) 18.3777 4.66880i 0.796776 0.202418i
\(533\) −2.67552 + 0.384682i −0.115890 + 0.0166624i
\(534\) −5.99913 + 10.5214i −0.259608 + 0.455306i
\(535\) −0.391753 + 2.72470i −0.0169370 + 0.117799i
\(536\) 35.2340 23.4574i 1.52188 1.01321i
\(537\) −4.89337 3.14478i −0.211164 0.135707i
\(538\) −35.6057 + 7.06177i −1.53507 + 0.304455i
\(539\) −2.65062 + 9.02718i −0.114170 + 0.388828i
\(540\) −1.83381 + 0.757194i −0.0789148 + 0.0325845i
\(541\) −19.5313 + 16.9240i −0.839717 + 0.727619i −0.964363 0.264582i \(-0.914766\pi\)
0.124646 + 0.992201i \(0.460220\pi\)
\(542\) 24.2232 8.53028i 1.04048 0.366407i
\(543\) 2.03860 4.46391i 0.0874847 0.191565i
\(544\) 34.1008 + 22.9233i 1.46206 + 0.982828i
\(545\) 6.63004 1.94676i 0.284000 0.0833899i
\(546\) −1.22862 2.35197i −0.0525802 0.100655i
\(547\) 36.0707 16.4729i 1.54227 0.704331i 0.550796 0.834640i \(-0.314324\pi\)
0.991473 + 0.130309i \(0.0415968\pi\)
\(548\) 18.3111 + 3.32479i 0.782212 + 0.142028i
\(549\) 1.77984 + 2.76949i 0.0759619 + 0.118199i
\(550\) 18.7003 + 1.68397i 0.797386 + 0.0718045i
\(551\) −11.1567 −0.475293
\(552\) −13.4249 1.94238i −0.571400 0.0826730i
\(553\) −23.5440 −1.00119
\(554\) −29.1546 2.62537i −1.23866 0.111541i
\(555\) 0.652536 + 1.01537i 0.0276986 + 0.0430999i
\(556\) 6.69349 36.8641i 0.283867 1.56339i
\(557\) −38.4371 + 17.5536i −1.62863 + 0.743772i −0.999439 0.0334769i \(-0.989342\pi\)
−0.629194 + 0.777249i \(0.716615\pi\)
\(558\) 3.23113 + 6.18541i 0.136785 + 0.261849i
\(559\) 2.24729 0.659864i 0.0950502 0.0279093i
\(560\) 11.6754 4.32505i 0.493376 0.182767i
\(561\) −9.97558 + 21.8435i −0.421169 + 0.922232i
\(562\) 31.9258 11.2428i 1.34671 0.474247i
\(563\) −32.5194 + 28.1782i −1.37053 + 1.18757i −0.409108 + 0.912486i \(0.634160\pi\)
−0.961420 + 0.275083i \(0.911295\pi\)
\(564\) 8.18602 + 19.8253i 0.344694 + 0.834798i
\(565\) 0.345453 1.17650i 0.0145333 0.0494959i
\(566\) 40.4108 8.01477i 1.69859 0.336886i
\(567\) 2.63969 + 1.69643i 0.110857 + 0.0712432i
\(568\) 17.3710 + 26.0919i 0.728870 + 1.09479i
\(569\) −1.53418 + 10.6704i −0.0643160 + 0.447328i 0.932062 + 0.362298i \(0.118008\pi\)
−0.996378 + 0.0850298i \(0.972901\pi\)
\(570\) 2.09957 3.68227i 0.0879412 0.154233i
\(571\) −9.62349 + 1.38365i −0.402730 + 0.0579039i −0.340704 0.940171i \(-0.610665\pi\)
−0.0620264 + 0.998075i \(0.519756\pi\)
\(572\) −0.973527 3.83208i −0.0407052 0.160227i
\(573\) 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 −0.970438 0.241352i \(-0.922409\pi\)
0.377003 + 0.926212i \(0.376955\pi\)
\(578\) 18.5428 47.0513i 0.771277 1.95708i
\(579\) 9.59210 1.37914i 0.398634 0.0573149i
\(580\) −7.28478 + 0.774974i −0.302484 + 0.0321790i
\(581\) 47.3966 + 6.81460i 1.96634 + 0.282717i
\(582\) 11.4755 + 8.92472i 0.475675 + 0.369942i
\(583\) −32.2776 20.7436i −1.33680 0.859111i
\(584\) 6.76469 + 0.861176i 0.279925 + 0.0356357i
\(585\) −0.569162 0.167121i −0.0235320 0.00690961i
\(586\) −7.55572 + 31.8948i −0.312124 + 1.31756i
\(587\) −6.65439 + 5.76606i −0.274656 + 0.237991i −0.781287 0.624172i \(-0.785436\pi\)
0.506631 + 0.862163i \(0.330891\pi\)
\(588\) −4.67163 3.25130i −0.192655 0.134081i
\(589\) −13.5622 6.19365i −0.558820 0.255205i
\(590\) 13.1240 0.696119i 0.540307 0.0286588i
\(591\) 24.1006 7.07656i 0.991364 0.291091i
\(592\) −3.43368 3.44904i −0.141123 0.141755i
\(593\) −1.20615 2.64109i −0.0495304 0.108457i 0.883249 0.468904i \(-0.155351\pi\)
−0.932779 + 0.360448i \(0.882624\pi\)
\(594\) 3.24457 + 3.36628i 0.133126 + 0.138120i
\(595\) −12.2236 19.0203i −0.501120 0.779757i
\(596\) 3.79393 2.24532i 0.155405 0.0919720i
\(597\) 2.46229i 0.100775i
\(598\) −2.76429 2.96770i −0.113040 0.121358i
\(599\) 13.9856 0.571437 0.285718 0.958314i \(-0.407768\pi\)
0.285718 + 0.958314i \(0.407768\pi\)
\(600\) −4.55087 + 10.4073i −0.185789 + 0.424877i
\(601\) −35.7279 + 22.9609i −1.45737 + 0.936596i −0.458521 + 0.888684i \(0.651620\pi\)
−0.998852 + 0.0479123i \(0.984743\pi\)
\(602\) 12.5143 12.0619i 0.510046 0.491606i
\(603\) −13.6129 + 6.21682i −0.554362 + 0.253168i
\(604\) 34.9668 + 17.5519i 1.42278 + 0.714178i
\(605\) −0.0196965 0.0670800i −0.000800775 0.00272719i
\(606\) 15.0096 0.796134i 0.609724 0.0323407i
\(607\) 8.07426 17.6802i 0.327724 0.717616i −0.672013 0.740539i \(-0.734570\pi\)
0.999737 + 0.0229236i \(0.00729743\pi\)
\(608\) −5.15279 + 16.2967i −0.208973 + 0.660920i
\(609\) 7.58745 + 8.75639i 0.307459 + 0.354827i
\(610\) −4.49408 1.06463i −0.181960 0.0431055i
\(611\) −1.80675 + 6.15321i −0.0730931 + 0.248932i
\(612\) −10.6214 9.91103i −0.429345 0.400630i
\(613\) 4.37714 6.81096i 0.176791 0.275092i −0.741537 0.670911i \(-0.765903\pi\)
0.918328 + 0.395819i \(0.129539\pi\)
\(614\) −6.95888 5.41205i −0.280838 0.218413i
\(615\) −0.638155 + 4.43847i −0.0257329 + 0.178976i
\(616\) −19.5703 21.8606i −0.788510 0.880788i
\(617\) −0.589184 4.09787i −0.0237197 0.164974i 0.974519 0.224307i \(-0.0720117\pi\)
−0.998238 + 0.0593329i \(0.981103\pi\)
\(618\) −11.7527 4.63172i −0.472765 0.186315i
\(619\) −4.81915 4.17582i −0.193698 0.167840i 0.552612 0.833438i \(-0.313631\pi\)
−0.746310 + 0.665598i \(0.768176\pi\)
\(620\) −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
\(624\) 2.38543 + 0.175961i 0.0954936 + 0.00704407i
\(625\) −1.59500 11.0935i −0.0638000 0.443739i
\(626\) −16.3372 9.31520i −0.652966 0.372310i
\(627\) −9.88722 1.42157i −0.394858 0.0567720i
\(628\) 9.31745 + 0.343184i 0.371807 + 0.0136945i
\(629\) −4.77804 + 7.43478i −0.190513 + 0.296444i
\(630\) −4.31790 + 0.856380i −0.172029 + 0.0341190i
\(631\) −21.0884 6.19210i −0.839514 0.246504i −0.166415 0.986056i \(-0.553219\pi\)
−0.673099 + 0.739552i \(0.735037\pi\)
\(632\) 11.1835 18.0369i 0.444857 0.717469i
\(633\) −4.97174 5.73770i −0.197609 0.228053i
\(634\) 1.17519 + 3.33716i 0.0466727 + 0.132535i
\(635\) −9.63525 4.40027i −0.382363 0.174619i
\(636\) 18.0897 14.5444i 0.717304 0.576721i
\(637\) −0.479437 1.63281i −0.0189960 0.0646944i
\(638\) 7.99335 + 15.3018i 0.316460 + 0.605804i
\(639\) −4.60376 10.0808i −0.182122 0.398791i
\(640\) −2.23250 + 10.9989i −0.0882472 + 0.434768i
\(641\) −31.4211 + 20.1931i −1.24106 + 0.797580i −0.985576 0.169233i \(-0.945871\pi\)
−0.255483 + 0.966813i \(0.582235\pi\)
\(642\) −0.351963 + 3.90854i −0.0138909 + 0.154258i
\(643\) 21.7564i 0.857988i −0.903307 0.428994i \(-0.858868\pi\)
0.903307 0.428994i \(-0.141132\pi\)
\(644\) −28.3791 10.0221i −1.11829 0.394927i
\(645\) 3.88545i 0.152990i
\(646\) 30.9125 + 2.78366i 1.21623 + 0.109522i
\(647\) 24.2523 15.5860i 0.953457 0.612749i 0.0312767 0.999511i \(-0.490043\pi\)
0.922180 + 0.386761i \(0.126406\pi\)
\(648\) −2.55349 + 1.21643i −0.100310 + 0.0477860i
\(649\) −12.8657 28.1721i −0.505025 1.10585i
\(650\) −3.01019 + 1.57246i −0.118069 + 0.0616771i
\(651\) 4.36225 + 14.8565i 0.170970 + 0.582271i
\(652\) 19.1172 + 23.7772i 0.748687 + 0.931188i
\(653\) 36.9535 + 16.8761i 1.44610 + 0.660414i 0.975110 0.221723i \(-0.0711680\pi\)
0.470994 + 0.882136i \(0.343895\pi\)
\(654\) 9.29169 3.27209i 0.363334 0.127949i
\(655\) −7.57505 8.74207i −0.295982 0.341581i
\(656\) −1.24964 18.0379i −0.0487904 0.704263i
\(657\) −2.31332 0.679252i −0.0902512 0.0265002i
\(658\) 9.25832 + 46.6808i 0.360927 + 1.81981i
\(659\) −3.13472 + 4.87773i −0.122112 + 0.190009i −0.896928 0.442178i \(-0.854206\pi\)
0.774816 + 0.632187i \(0.217842\pi\)
\(660\) −6.55459 0.241421i −0.255137 0.00939731i
\(661\) −27.2007 3.91087i −1.05798 0.152115i −0.408706 0.912666i \(-0.634020\pi\)
−0.649278 + 0.760551i \(0.724929\pi\)
\(662\) −3.83523 + 6.72631i −0.149060 + 0.261425i
\(663\) −0.618145 4.29929i −0.0240068 0.166971i
\(664\) −27.7342 + 33.0732i −1.07630 + 1.28349i
\(665\) 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
\(670\) 7.69775 19.5326i 0.297390 0.754612i
\(671\) 1.54890 + 10.7729i 0.0597947 + 0.415881i
\(672\) 16.2948 7.03887i 0.628586 0.271530i
\(673\) 5.76586 40.1025i 0.222258 1.54584i −0.507211 0.861822i \(-0.669324\pi\)
0.729469 0.684014i \(-0.239767\pi\)
\(674\) −0.212680 + 0.273467i −0.00819214 + 0.0105335i
\(675\) 2.17118 3.37843i 0.0835689 0.130036i
\(676\) −18.4866 17.2502i −0.711023 0.663469i
\(677\) −4.83632 + 16.4710i −0.185875 + 0.633031i 0.812847 + 0.582478i \(0.197917\pi\)
−0.998721 + 0.0505535i \(0.983901\pi\)
\(678\) 0.402956 1.70099i 0.0154754 0.0653260i
\(679\) 21.1227 + 24.3769i 0.810614 + 0.935498i
\(680\) 20.3776 0.329662i 0.781445 0.0126419i
\(681\) 6.26610 13.7208i 0.240117 0.525784i
\(682\) 1.22200 + 23.0384i 0.0467926 + 0.882187i
\(683\) 13.1729 + 44.8627i 0.504046 + 1.71662i 0.680892 + 0.732384i \(0.261592\pi\)
−0.176846 + 0.984239i \(0.556589\pi\)
\(684\) 2.71094 5.40071i 0.103655 0.206501i
\(685\) 8.39660 3.83460i 0.320818 0.146513i
\(686\) 12.7928 + 13.2727i 0.488433 + 0.506754i
\(687\) 5.03308 3.23457i 0.192024 0.123406i
\(688\) 3.29614 + 15.3166i 0.125664 + 0.583939i
\(689\) 6.94000 0.264393
\(690\) −6.01569 + 3.01296i −0.229014 + 0.114701i
\(691\) 22.4870i 0.855445i −0.903910 0.427722i \(-0.859316\pi\)
0.903910 0.427722i \(-0.140684\pi\)
\(692\) 7.13754 4.22413i 0.271328 0.160578i
\(693\) 5.60836 + 8.72678i 0.213044 + 0.331503i
\(694\) −11.1660 + 10.7623i −0.423854 + 0.408530i
\(695\) −7.71985 16.9041i −0.292830 0.641209i
\(696\) −10.3123 + 1.65335i −0.390886 + 0.0626703i
\(697\) −31.5039 + 9.25037i −1.19329 + 0.350383i
\(698\) 0.229657 + 4.32975i 0.00869264 + 0.163883i
\(699\) 15.2911 + 6.98323i 0.578364 + 0.264130i
\(700\) −14.3967 + 20.6858i −0.544143 + 0.781851i
\(701\) 12.6039 10.9213i 0.476043 0.412494i −0.383513 0.923536i \(-0.625286\pi\)
0.859556 + 0.511042i \(0.170740\pi\)
\(702\) −0.822893 0.194940i −0.0310581 0.00735752i
\(703\) −3.52732 1.03571i −0.133035 0.0390627i
\(704\) 26.0432 4.60875i 0.981541 0.173699i
\(705\) 8.94976 + 5.75166i 0.337067 + 0.216620i
\(706\) 0.0981204 0.126164i 0.00369281 0.00474826i
\(707\) 33.0101 + 4.74614i 1.24147 + 0.178497i
\(708\) 18.6311 1.98202i 0.700200 0.0744890i
\(709\) 14.5026 2.08516i 0.544657 0.0783098i 0.135506 0.990777i \(-0.456734\pi\)
0.409151 + 0.912467i \(0.365825\pi\)
\(710\) 14.4645 + 5.70043i 0.542845 + 0.213933i
\(711\) −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
\(716\) 11.2754 2.86446i 0.421380 0.107050i
\(717\) −11.4770 + 1.65015i −0.428617 + 0.0616258i
\(718\) −15.2976 8.72244i −0.570902 0.325518i
\(719\) 4.90511 34.1158i 0.182930 1.27230i −0.666861 0.745183i \(-0.732362\pi\)
0.849790 0.527121i \(-0.176729\pi\)
\(720\) 1.39496 3.71469i 0.0519871 0.138438i
\(721\) −23.5791 15.1534i −0.878131 0.564341i
\(722\) −2.71570 13.6927i −0.101068 0.509589i
\(723\) −7.96474 + 27.1254i −0.296212 + 1.00881i
\(724\) 3.74583 + 9.07184i 0.139212 + 0.337152i
\(725\) 11.2069 9.71086i 0.416215 0.360652i
\(726\) −0.0331057 0.0940094i −0.00122867 0.00348902i
\(727\) 12.7531 27.9253i 0.472985 1.03569i −0.511348 0.859374i \(-0.670854\pi\)
0.984333 0.176319i \(-0.0564191\pi\)
\(728\) 5.11563 + 1.41262i 0.189598 + 0.0523550i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) 2.99795 1.56607i 0.110959 0.0579629i
\(731\) 25.8794 11.8187i 0.957183 0.437131i
\(732\) −6.47828 1.17628i −0.239444 0.0434764i
\(733\) 23.3142 + 36.2776i 0.861129 + 1.33994i 0.939333 + 0.343006i \(0.111445\pi\)
−0.0782037 + 0.996937i \(0.524918\pi\)
\(734\) −0.524367 + 5.82306i −0.0193547 + 0.214933i
\(735\) −2.82305 −0.104130
\(736\) 21.1581 16.9804i 0.779897 0.625907i
\(737\) −49.4751 −1.82244
\(738\) −0.573339 + 6.36690i −0.0211049 + 0.234369i
\(739\) −25.1375 39.1148i −0.924700 1.43886i −0.898386 0.439207i \(-0.855259\pi\)
−0.0263138 0.999654i \(-0.508377\pi\)
\(740\) −2.37510 0.431252i −0.0873104 0.0158531i
\(741\) 1.64349 0.750557i 0.0603752 0.0275724i
\(742\) 45.6480 23.8456i 1.67579 0.875400i
\(743\) 1.65700 0.486539i 0.0607894 0.0178494i −0.251196 0.967936i \(-0.580824\pi\)
0.311986 + 0.950087i \(0.399006\pi\)
\(744\) −13.4535 3.71501i −0.493229 0.136199i
\(745\) 0.908360 1.98903i 0.0332797 0.0728725i
\(746\) 7.08302 + 20.1135i 0.259328 + 0.736408i
\(747\) 11.5330 9.99339i 0.421970 0.365639i
\(748\) −18.3296 44.3917i −0.670198 1.62312i
\(749\) −2.45311 + 8.35451i −0.0896345 + 0.305267i
\(750\) 2.46066 + 12.4067i 0.0898506 + 0.453030i
\(751\) −7.56419 4.86121i −0.276021 0.177388i 0.395305 0.918550i \(-0.370639\pi\)
−0.671326 + 0.741162i \(0.734275\pi\)
\(752\) −40.1595 15.0809i −1.46447 0.549944i
\(753\) 0.871967 6.06466i 0.0317763 0.221009i
\(754\) −2.71266 1.54671i −0.0987891 0.0563279i
\(755\) 19.2082 2.76173i 0.699060 0.100510i
\(756\) −6.08240 + 1.54521i −0.221215 + 0.0561989i
\(757\) −31.3395 27.1559i −1.13905 0.986997i −0.139060 0.990284i \(-0.544408\pi\)
−0.999995 + 0.00328744i \(0.998954\pi\)
\(758\) −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 −0.717955 0.696090i \(-0.754921\pi\)
0.791180 + 0.611583i \(0.209467\pi\)
\(762\) −14.0493 5.53676i −0.508951 0.200576i
\(763\) 21.6346 3.11058i 0.783224 0.112611i
\(764\) −28.5266 + 3.03473i −1.03206 + 0.109793i
\(765\) −7.13217 1.02545i −0.257864 0.0370753i
\(766\) 11.8592 15.2487i 0.428490 0.550958i
\(767\) 4.71264 + 3.02863i 0.170164 + 0.109357i
\(768\) −2.34770 + 15.8268i −0.0847153 + 0.571101i
\(769\) 48.5247 + 14.2481i 1.74985 + 0.513801i 0.990575 0.136973i \(-0.0437374\pi\)
0.759271 + 0.650774i \(0.225556\pi\)
\(770\) −14.1610 3.35468i −0.510328 0.120894i
\(771\) 5.26581 4.56285i 0.189643 0.164327i
\(772\) −11.0714 + 15.9080i −0.398470 + 0.572541i
\(773\) −37.3993 17.0797i −1.34516 0.614313i