Properties

Label 570.2.bi.a.23.25
Level $570$
Weight $2$
Character 570.23
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 23.25
Character \(\chi\) \(=\) 570.23
Dual form 570.2.bi.a.347.25

$q$-expansion

\(f(q)\) \(=\) \(q+(0.422618 + 0.906308i) q^{2} +(-1.13165 - 1.31125i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(-1.05411 - 1.97202i) q^{5} +(0.710142 - 1.57978i) q^{6} +(-0.0450943 - 0.168294i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(-0.438754 + 2.96774i) q^{9} +O(q^{10})\) \(q+(0.422618 + 0.906308i) q^{2} +(-1.13165 - 1.31125i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(-1.05411 - 1.97202i) q^{5} +(0.710142 - 1.57978i) q^{6} +(-0.0450943 - 0.168294i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(-0.438754 + 2.96774i) q^{9} +(1.34177 - 1.78876i) q^{10} +(-1.02542 + 0.592026i) q^{11} +(1.73188 - 0.0240358i) q^{12} +(-0.862888 + 0.604200i) q^{13} +(0.133469 - 0.111994i) q^{14} +(-1.39293 + 3.61383i) q^{15} +(-0.173648 - 0.984808i) q^{16} +(0.00890995 + 0.0191074i) q^{17} +(-2.87511 + 0.856576i) q^{18} +(-3.61463 + 2.43607i) q^{19} +(2.18822 + 0.460094i) q^{20} +(-0.169645 + 0.249580i) q^{21} +(-0.969919 - 0.679144i) q^{22} +(-5.33961 + 0.467155i) q^{23} +(0.753710 + 1.55946i) q^{24} +(-2.77771 + 4.15745i) q^{25} +(-0.912264 - 0.526696i) q^{26} +(4.38797 - 2.78312i) q^{27} +(0.157907 + 0.0736333i) q^{28} +(-6.37018 + 2.31856i) q^{29} +(-3.86392 + 0.264847i) q^{30} +(-2.85262 + 4.94088i) q^{31} +(0.819152 - 0.573576i) q^{32} +(1.93671 + 0.674617i) q^{33} +(-0.0135517 + 0.0161503i) q^{34} +(-0.284345 + 0.266328i) q^{35} +(-1.99140 - 2.24373i) q^{36} +(2.29125 - 2.29125i) q^{37} +(-3.73544 - 2.24644i) q^{38} +(1.76874 + 0.447721i) q^{39} +(0.507796 + 2.17765i) q^{40} +(-1.39028 + 0.245143i) q^{41} +(-0.297891 - 0.0482739i) q^{42} +(-8.71430 - 0.762403i) q^{43} +(0.205609 - 1.16606i) q^{44} +(6.31493 - 2.26309i) q^{45} +(-2.68000 - 4.64190i) q^{46} +(3.72060 + 1.73495i) q^{47} +(-1.09482 + 1.34215i) q^{48} +(6.03589 - 3.48482i) q^{49} +(-4.94183 - 0.760444i) q^{50} +(0.0149717 - 0.0333060i) q^{51} +(0.0918091 - 1.04938i) q^{52} +(0.422288 - 0.0369454i) q^{53} +(4.37680 + 2.80065i) q^{54} +(2.24839 + 1.39808i) q^{55} +0.174231i q^{56} +(7.28478 + 1.98292i) q^{57} +(-4.79348 - 4.79348i) q^{58} +(-6.34170 - 2.30819i) q^{59} +(-1.87299 - 3.38997i) q^{60} +(-3.04574 - 2.55568i) q^{61} +(-5.68353 - 0.497245i) q^{62} +(0.519240 - 0.0599885i) q^{63} +(0.866025 + 0.500000i) q^{64} +(2.10107 + 1.06474i) q^{65} +(0.207076 + 2.04036i) q^{66} +(6.76170 - 14.5005i) q^{67} +(-0.0203644 - 0.00545661i) q^{68} +(6.65511 + 6.47291i) q^{69} +(-0.361544 - 0.145149i) q^{70} +(3.95549 + 4.71397i) q^{71} +(1.19191 - 2.75306i) q^{72} +(3.74724 - 5.35161i) q^{73} +(3.04490 + 1.10825i) q^{74} +(8.59483 - 1.06249i) q^{75} +(0.457302 - 4.33484i) q^{76} +(0.145875 + 0.145875i) q^{77} +(0.341730 + 1.79224i) q^{78} +(-10.5286 + 1.85648i) q^{79} +(-1.75901 + 1.38053i) q^{80} +(-8.61499 - 2.60422i) q^{81} +(-0.809732 - 1.15642i) q^{82} +(1.55242 + 5.79372i) q^{83} +(-0.0821433 - 0.290382i) q^{84} +(0.0282881 - 0.0377119i) q^{85} +(-2.99185 - 8.22004i) q^{86} +(10.2490 + 5.72912i) q^{87} +(1.14371 - 0.306455i) q^{88} +(-0.687430 + 3.89861i) q^{89} +(4.71987 + 4.76685i) q^{90} +(0.140595 + 0.117973i) q^{91} +(3.07437 - 4.39066i) q^{92} +(9.70689 - 1.85083i) q^{93} +4.10523i q^{94} +(8.61419 + 4.56023i) q^{95} +(-1.67909 - 0.425028i) q^{96} +(10.7077 - 4.99306i) q^{97} +(5.70920 + 3.99762i) q^{98} +(-1.30707 - 3.30293i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.422618 + 0.906308i 0.298836 + 0.640856i
\(3\) −1.13165 1.31125i −0.653356 0.757051i
\(4\) −0.642788 + 0.766044i −0.321394 + 0.383022i
\(5\) −1.05411 1.97202i −0.471412 0.881913i
\(6\) 0.710142 1.57978i 0.289914 0.644942i
\(7\) −0.0450943 0.168294i −0.0170441 0.0636093i 0.956880 0.290483i \(-0.0938161\pi\)
−0.973924 + 0.226874i \(0.927149\pi\)
\(8\) −0.965926 0.258819i −0.341506 0.0915064i
\(9\) −0.438754 + 2.96774i −0.146251 + 0.989247i
\(10\) 1.34177 1.78876i 0.424305 0.565655i
\(11\) −1.02542 + 0.592026i −0.309176 + 0.178503i −0.646557 0.762865i \(-0.723792\pi\)
0.337382 + 0.941368i \(0.390459\pi\)
\(12\) 1.73188 0.0240358i 0.499952 0.00693854i
\(13\) −0.862888 + 0.604200i −0.239322 + 0.167575i −0.687085 0.726577i \(-0.741110\pi\)
0.447763 + 0.894152i \(0.352221\pi\)
\(14\) 0.133469 0.111994i 0.0356710 0.0299316i
\(15\) −1.39293 + 3.61383i −0.359653 + 0.933086i
\(16\) −0.173648 0.984808i −0.0434120 0.246202i
\(17\) 0.00890995 + 0.0191074i 0.00216098 + 0.00463424i 0.907385 0.420300i \(-0.138075\pi\)
−0.905224 + 0.424934i \(0.860297\pi\)
\(18\) −2.87511 + 0.856576i −0.677671 + 0.201897i
\(19\) −3.61463 + 2.43607i −0.829253 + 0.558873i
\(20\) 2.18822 + 0.460094i 0.489301 + 0.102880i
\(21\) −0.169645 + 0.249580i −0.0370196 + 0.0544627i
\(22\) −0.969919 0.679144i −0.206787 0.144794i
\(23\) −5.33961 + 0.467155i −1.11339 + 0.0974086i −0.628970 0.777429i \(-0.716523\pi\)
−0.484416 + 0.874838i \(0.660968\pi\)
\(24\) 0.753710 + 1.55946i 0.153850 + 0.318324i
\(25\) −2.77771 + 4.15745i −0.555541 + 0.831489i
\(26\) −0.912264 0.526696i −0.178910 0.103294i
\(27\) 4.38797 2.78312i 0.844465 0.535611i
\(28\) 0.157907 + 0.0736333i 0.0298416 + 0.0139154i
\(29\) −6.37018 + 2.31856i −1.18291 + 0.430545i −0.857230 0.514934i \(-0.827816\pi\)
−0.325683 + 0.945479i \(0.605594\pi\)
\(30\) −3.86392 + 0.264847i −0.705452 + 0.0483542i
\(31\) −2.85262 + 4.94088i −0.512346 + 0.887409i 0.487552 + 0.873094i \(0.337890\pi\)
−0.999898 + 0.0143149i \(0.995443\pi\)
\(32\) 0.819152 0.573576i 0.144807 0.101395i
\(33\) 1.93671 + 0.674617i 0.337137 + 0.117436i
\(34\) −0.0135517 + 0.0161503i −0.00232410 + 0.00276975i
\(35\) −0.284345 + 0.266328i −0.0480631 + 0.0450176i
\(36\) −1.99140 2.24373i −0.331899 0.373956i
\(37\) 2.29125 2.29125i 0.376679 0.376679i −0.493223 0.869903i \(-0.664181\pi\)
0.869903 + 0.493223i \(0.164181\pi\)
\(38\) −3.73544 2.24644i −0.605968 0.364421i
\(39\) 1.76874 + 0.447721i 0.283225 + 0.0716927i
\(40\) 0.507796 + 2.17765i 0.0802896 + 0.344316i
\(41\) −1.39028 + 0.245143i −0.217125 + 0.0382850i −0.281152 0.959663i \(-0.590717\pi\)
0.0640275 + 0.997948i \(0.479605\pi\)
\(42\) −0.297891 0.0482739i −0.0459656 0.00744882i
\(43\) −8.71430 0.762403i −1.32892 0.116265i −0.599523 0.800358i \(-0.704643\pi\)
−0.729395 + 0.684092i \(0.760199\pi\)
\(44\) 0.205609 1.16606i 0.0309966 0.175791i
\(45\) 6.31493 2.26309i 0.941375 0.337362i
\(46\) −2.68000 4.64190i −0.395145 0.684411i
\(47\) 3.72060 + 1.73495i 0.542706 + 0.253068i 0.674584 0.738198i \(-0.264323\pi\)
−0.131878 + 0.991266i \(0.542101\pi\)
\(48\) −1.09482 + 1.34215i −0.158024 + 0.193723i
\(49\) 6.03589 3.48482i 0.862270 0.497832i
\(50\) −4.94183 0.760444i −0.698881 0.107543i
\(51\) 0.0149717 0.0333060i 0.00209646 0.00466378i
\(52\) 0.0918091 1.04938i 0.0127316 0.145523i
\(53\) 0.422288 0.0369454i 0.0580057 0.00507484i −0.0581159 0.998310i \(-0.518509\pi\)
0.116122 + 0.993235i \(0.462954\pi\)
\(54\) 4.37680 + 2.80065i 0.595607 + 0.381121i
\(55\) 2.24839 + 1.39808i 0.303173 + 0.188518i
\(56\) 0.174231i 0.0232826i
\(57\) 7.28478 + 1.98292i 0.964893 + 0.262644i
\(58\) −4.79348 4.79348i −0.629415 0.629415i
\(59\) −6.34170 2.30819i −0.825619 0.300501i −0.105559 0.994413i \(-0.533663\pi\)
−0.720060 + 0.693912i \(0.755886\pi\)
\(60\) −1.87299 3.38997i −0.241803 0.437643i
\(61\) −3.04574 2.55568i −0.389968 0.327222i 0.426633 0.904425i \(-0.359700\pi\)
−0.816601 + 0.577203i \(0.804144\pi\)
\(62\) −5.68353 0.497245i −0.721809 0.0631501i
\(63\) 0.519240 0.0599885i 0.0654180 0.00755784i
\(64\) 0.866025 + 0.500000i 0.108253 + 0.0625000i
\(65\) 2.10107 + 1.06474i 0.260606 + 0.132064i
\(66\) 0.207076 + 2.04036i 0.0254894 + 0.251151i
\(67\) 6.76170 14.5005i 0.826074 1.77152i 0.221145 0.975241i \(-0.429021\pi\)
0.604929 0.796279i \(-0.293202\pi\)
\(68\) −0.0203644 0.00545661i −0.00246954 0.000661711i
\(69\) 6.65511 + 6.47291i 0.801181 + 0.779247i
\(70\) −0.361544 0.145149i −0.0432128 0.0173487i
\(71\) 3.95549 + 4.71397i 0.469430 + 0.559445i 0.947863 0.318679i \(-0.103239\pi\)
−0.478432 + 0.878124i \(0.658795\pi\)
\(72\) 1.19191 2.75306i 0.140468 0.324451i
\(73\) 3.74724 5.35161i 0.438581 0.626358i −0.537630 0.843181i \(-0.680680\pi\)
0.976211 + 0.216822i \(0.0695693\pi\)
\(74\) 3.04490 + 1.10825i 0.353963 + 0.128832i
\(75\) 8.59483 1.06249i 0.992446 0.122686i
\(76\) 0.457302 4.33484i 0.0524561 0.497241i
\(77\) 0.145875 + 0.145875i 0.0166240 + 0.0166240i
\(78\) 0.341730 + 1.79224i 0.0386933 + 0.202931i
\(79\) −10.5286 + 1.85648i −1.18456 + 0.208870i −0.731015 0.682362i \(-0.760953\pi\)
−0.453548 + 0.891232i \(0.649842\pi\)
\(80\) −1.75901 + 1.38053i −0.196664 + 0.154348i
\(81\) −8.61499 2.60422i −0.957221 0.289358i
\(82\) −0.809732 1.15642i −0.0894199 0.127705i
\(83\) 1.55242 + 5.79372i 0.170400 + 0.635943i 0.997289 + 0.0735780i \(0.0234418\pi\)
−0.826889 + 0.562365i \(0.809892\pi\)
\(84\) −0.0821433 0.290382i −0.00896256 0.0316833i
\(85\) 0.0282881 0.0377119i 0.00306828 0.00409043i
\(86\) −2.99185 8.22004i −0.322620 0.886390i
\(87\) 10.2490 + 5.72912i 1.09881 + 0.614226i
\(88\) 1.14371 0.306455i 0.121920 0.0326682i
\(89\) −0.687430 + 3.89861i −0.0728674 + 0.413252i 0.926454 + 0.376409i \(0.122841\pi\)
−0.999321 + 0.0368429i \(0.988270\pi\)
\(90\) 4.71987 + 4.76685i 0.497518 + 0.502470i
\(91\) 0.140595 + 0.117973i 0.0147383 + 0.0123669i
\(92\) 3.07437 4.39066i 0.320526 0.457758i
\(93\) 9.70689 1.85083i 1.00656 0.191922i
\(94\) 4.10523i 0.423422i
\(95\) 8.61419 + 4.56023i 0.883797 + 0.467870i
\(96\) −1.67909 0.425028i −0.171372 0.0433792i
\(97\) 10.7077 4.99306i 1.08720 0.506969i 0.205440 0.978670i \(-0.434138\pi\)
0.881759 + 0.471701i \(0.156360\pi\)
\(98\) 5.70920 + 3.99762i 0.576716 + 0.403821i
\(99\) −1.30707 3.30293i −0.131366 0.331957i
\(100\) −1.39931 4.80020i −0.139931 0.480020i
\(101\) 12.6283 + 2.22671i 1.25656 + 0.221566i 0.762001 0.647576i \(-0.224217\pi\)
0.494562 + 0.869142i \(0.335328\pi\)
\(102\) 0.0365128 0.000506740i 0.00361531 5.01748e-5i
\(103\) −0.216284 + 0.807183i −0.0213111 + 0.0795341i −0.975762 0.218833i \(-0.929775\pi\)
0.954451 + 0.298367i \(0.0964418\pi\)
\(104\) 0.989864 0.360281i 0.0970642 0.0353285i
\(105\) 0.671000 + 0.0714590i 0.0654829 + 0.00697368i
\(106\) 0.211951 + 0.367109i 0.0205865 + 0.0356568i
\(107\) −15.1590 + 4.06183i −1.46547 + 0.392672i −0.901376 0.433037i \(-0.857442\pi\)
−0.564096 + 0.825709i \(0.690775\pi\)
\(108\) −0.688539 + 5.15033i −0.0662547 + 0.495591i
\(109\) −1.92348 2.29231i −0.184236 0.219564i 0.666019 0.745935i \(-0.267997\pi\)
−0.850255 + 0.526371i \(0.823552\pi\)
\(110\) −0.316884 + 2.62859i −0.0302137 + 0.250626i
\(111\) −5.59729 0.411518i −0.531271 0.0390596i
\(112\) −0.157907 + 0.0736333i −0.0149208 + 0.00695769i
\(113\) 2.46000 2.46000i 0.231418 0.231418i −0.581867 0.813284i \(-0.697677\pi\)
0.813284 + 0.581867i \(0.197677\pi\)
\(114\) 1.28155 + 7.44027i 0.120028 + 0.696845i
\(115\) 6.54977 + 10.0374i 0.610770 + 0.935990i
\(116\) 2.31856 6.37018i 0.215273 0.591457i
\(117\) −1.41452 2.82592i −0.130772 0.261257i
\(118\) −0.588188 6.72301i −0.0541470 0.618904i
\(119\) 0.00281389 0.00236113i 0.000257949 0.000216445i
\(120\) 2.28079 3.13017i 0.208207 0.285744i
\(121\) −4.79901 + 8.31213i −0.436274 + 0.755648i
\(122\) 1.02905 3.84046i 0.0931657 0.347699i
\(123\) 1.89475 + 1.54559i 0.170843 + 0.139361i
\(124\) −1.95131 5.36117i −0.175233 0.481448i
\(125\) 11.1266 + 1.09528i 0.995190 + 0.0979649i
\(126\) 0.273808 + 0.445239i 0.0243928 + 0.0396650i
\(127\) −9.95976 14.2240i −0.883786 1.26218i −0.964136 0.265410i \(-0.914493\pi\)
0.0803499 0.996767i \(-0.474396\pi\)
\(128\) −0.0871557 + 0.996195i −0.00770355 + 0.0880520i
\(129\) 8.86180 + 12.2894i 0.780238 + 1.08202i
\(130\) −0.0770271 + 2.35419i −0.00675573 + 0.206477i
\(131\) 3.62538 9.96065i 0.316751 0.870266i −0.674500 0.738275i \(-0.735641\pi\)
0.991251 0.131991i \(-0.0421371\pi\)
\(132\) −1.76168 + 1.04997i −0.153334 + 0.0913879i
\(133\) 0.572976 + 0.498469i 0.0496834 + 0.0432228i
\(134\) 15.9996 1.38215
\(135\) −10.1138 5.71944i −0.870453 0.492251i
\(136\) −0.00366098 0.0207624i −0.000313926 0.00178036i
\(137\) 0.254507 + 2.90903i 0.0217440 + 0.248535i 0.999286 + 0.0377927i \(0.0120326\pi\)
−0.977542 + 0.210743i \(0.932412\pi\)
\(138\) −3.05388 + 8.76715i −0.259964 + 0.746309i
\(139\) −13.8604 2.44397i −1.17563 0.207295i −0.448490 0.893788i \(-0.648038\pi\)
−0.727136 + 0.686494i \(0.759149\pi\)
\(140\) −0.0212453 0.389013i −0.00179555 0.0328776i
\(141\) −1.93546 6.84198i −0.162995 0.576199i
\(142\) −2.60065 + 5.57710i −0.218241 + 0.468020i
\(143\) 0.527119 1.13041i 0.0440799 0.0945297i
\(144\) 2.99884 0.0832545i 0.249904 0.00693787i
\(145\) 11.2871 + 10.1181i 0.937343 + 0.840262i
\(146\) 6.43385 + 1.13446i 0.532470 + 0.0938888i
\(147\) −11.4000 3.97097i −0.940253 0.327520i
\(148\) 0.282412 + 3.22799i 0.0232142 + 0.265339i
\(149\) −2.63897 14.9664i −0.216193 1.22609i −0.878824 0.477146i \(-0.841671\pi\)
0.662631 0.748946i \(-0.269440\pi\)
\(150\) 4.59527 + 7.34053i 0.375203 + 0.599352i
\(151\) −17.3716 −1.41368 −0.706842 0.707372i \(-0.749881\pi\)
−0.706842 + 0.707372i \(0.749881\pi\)
\(152\) 4.12197 1.41753i 0.334336 0.114977i
\(153\) −0.0606152 + 0.0180590i −0.00490045 + 0.00145998i
\(154\) −0.0705583 + 0.193857i −0.00568575 + 0.0156215i
\(155\) 12.7505 + 0.417184i 1.02414 + 0.0335091i
\(156\) −1.47990 + 1.06715i −0.118487 + 0.0854400i
\(157\) −0.602158 + 6.88269i −0.0480574 + 0.549299i 0.933558 + 0.358427i \(0.116687\pi\)
−0.981615 + 0.190871i \(0.938869\pi\)
\(158\) −6.13213 8.75759i −0.487846 0.696717i
\(159\) −0.526325 0.511916i −0.0417403 0.0405976i
\(160\) −1.99458 1.01077i −0.157685 0.0799084i
\(161\) 0.319406 + 0.877560i 0.0251727 + 0.0691614i
\(162\) −1.28063 8.90842i −0.100616 0.699912i
\(163\) 3.52150 13.1424i 0.275825 1.02939i −0.679462 0.733711i \(-0.737787\pi\)
0.955287 0.295682i \(-0.0955467\pi\)
\(164\) 0.705862 1.22259i 0.0551186 0.0954682i
\(165\) −0.711144 4.53034i −0.0553625 0.352686i
\(166\) −4.59481 + 3.85550i −0.356626 + 0.299245i
\(167\) 1.60190 + 18.3098i 0.123959 + 1.41685i 0.762362 + 0.647151i \(0.224040\pi\)
−0.638403 + 0.769702i \(0.720405\pi\)
\(168\) 0.228461 0.197168i 0.0176261 0.0152118i
\(169\) −4.06674 + 11.1733i −0.312827 + 0.859484i
\(170\) 0.0461337 + 0.00970003i 0.00353829 + 0.000743958i
\(171\) −5.64369 11.7961i −0.431584 0.902073i
\(172\) 6.18548 6.18548i 0.471638 0.471638i
\(173\) 2.95433 1.37763i 0.224614 0.104739i −0.307054 0.951692i \(-0.599343\pi\)
0.531668 + 0.846953i \(0.321566\pi\)
\(174\) −0.860929 + 11.7100i −0.0652669 + 0.887731i
\(175\) 0.824933 + 0.279995i 0.0623591 + 0.0211656i
\(176\) 0.761094 + 0.907037i 0.0573696 + 0.0683705i
\(177\) 4.14994 + 10.9276i 0.311929 + 0.821369i
\(178\) −3.82386 + 1.02460i −0.286610 + 0.0767970i
\(179\) −5.22165 9.04417i −0.390285 0.675993i 0.602202 0.798343i \(-0.294290\pi\)
−0.992487 + 0.122351i \(0.960957\pi\)
\(180\) −2.32553 + 6.29221i −0.173335 + 0.468994i
\(181\) 3.76249 1.36943i 0.279663 0.101789i −0.198381 0.980125i \(-0.563568\pi\)
0.478044 + 0.878336i \(0.341346\pi\)
\(182\) −0.0475020 + 0.177280i −0.00352108 + 0.0131409i
\(183\) 0.0955649 + 6.88586i 0.00706436 + 0.509018i
\(184\) 5.27858 + 0.930756i 0.389142 + 0.0686162i
\(185\) −6.93362 2.10316i −0.509770 0.154627i
\(186\) 5.77973 + 8.01524i 0.423791 + 0.587706i
\(187\) −0.0204485 0.0143182i −0.00149534 0.00104705i
\(188\) −3.72060 + 1.73495i −0.271353 + 0.126534i
\(189\) −0.666255 0.612967i −0.0484630 0.0445868i
\(190\) −0.492458 + 9.73435i −0.0357267 + 0.706204i
\(191\) 22.1168i 1.60032i 0.599788 + 0.800159i \(0.295252\pi\)
−0.599788 + 0.800159i \(0.704748\pi\)
\(192\) −0.324409 1.70140i −0.0234122 0.122788i
\(193\) 11.5804 16.5385i 0.833575 1.19047i −0.145979 0.989288i \(-0.546633\pi\)
0.979554 0.201181i \(-0.0644779\pi\)
\(194\) 9.05050 + 7.59428i 0.649788 + 0.545237i
\(195\) −0.981535 3.95994i −0.0702892 0.283577i
\(196\) −1.21027 + 6.86376i −0.0864476 + 0.490268i
\(197\) 13.6188 3.64914i 0.970298 0.259990i 0.261344 0.965246i \(-0.415834\pi\)
0.708953 + 0.705255i \(0.249168\pi\)
\(198\) 2.44108 2.58049i 0.173480 0.183388i
\(199\) 3.38501 + 9.30025i 0.239957 + 0.659277i 0.999956 + 0.00935304i \(0.00297721\pi\)
−0.759999 + 0.649924i \(0.774801\pi\)
\(200\) 3.75908 3.29686i 0.265807 0.233123i
\(201\) −26.6657 + 7.54317i −1.88085 + 0.532054i
\(202\) 3.31887 + 12.3862i 0.233515 + 0.871488i
\(203\) 0.677459 + 0.967512i 0.0475483 + 0.0679060i
\(204\) 0.0158903 + 0.0328777i 0.00111254 + 0.00230190i
\(205\) 1.94893 + 2.48324i 0.136119 + 0.173437i
\(206\) −0.822962 + 0.145110i −0.0573385 + 0.0101103i
\(207\) 0.956380 16.0516i 0.0664730 1.11566i
\(208\) 0.744860 + 0.744860i 0.0516468 + 0.0516468i
\(209\) 2.26430 4.63795i 0.156625 0.320814i
\(210\) 0.218813 + 0.638332i 0.0150995 + 0.0440491i
\(211\) 8.63122 + 3.14151i 0.594198 + 0.216270i 0.621575 0.783355i \(-0.286493\pi\)
−0.0273771 + 0.999625i \(0.508715\pi\)
\(212\) −0.243140 + 0.347239i −0.0166989 + 0.0238485i
\(213\) 1.70498 10.5212i 0.116823 0.720900i
\(214\) −10.0877 12.0221i −0.689583 0.821813i
\(215\) 7.68236 + 17.9884i 0.523932 + 1.22680i
\(216\) −4.95877 + 1.55260i −0.337402 + 0.105641i
\(217\) 0.960160 + 0.257274i 0.0651799 + 0.0174649i
\(218\) 1.26464 2.71204i 0.0856526 0.183682i
\(219\) −11.2578 + 1.14256i −0.760734 + 0.0772072i
\(220\) −2.51623 + 0.823696i −0.169644 + 0.0555335i
\(221\) −0.0192330 0.0111042i −0.00129375 0.000746948i
\(222\) −1.99255 5.24678i −0.133731 0.352141i
\(223\) −20.6443 1.80614i −1.38244 0.120948i −0.628461 0.777841i \(-0.716315\pi\)
−0.753984 + 0.656893i \(0.771870\pi\)
\(224\) −0.133469 0.111994i −0.00891776 0.00748289i
\(225\) −11.1195 10.0676i −0.741300 0.671174i
\(226\) 3.26916 + 1.18988i 0.217461 + 0.0791495i
\(227\) −0.447561 0.447561i −0.0297057 0.0297057i 0.692098 0.721804i \(-0.256687\pi\)
−0.721804 + 0.692098i \(0.756687\pi\)
\(228\) −6.20157 + 4.30587i −0.410709 + 0.285163i
\(229\) 9.68915i 0.640277i 0.947371 + 0.320139i \(0.103729\pi\)
−0.947371 + 0.320139i \(0.896271\pi\)
\(230\) −6.32890 + 10.1781i −0.417315 + 0.671123i
\(231\) 0.0261998 0.356358i 0.00172382 0.0234466i
\(232\) 6.75321 0.590829i 0.443370 0.0387898i
\(233\) −0.0504192 + 0.576294i −0.00330307 + 0.0377543i −0.997667 0.0682629i \(-0.978254\pi\)
0.994364 + 0.106017i \(0.0338099\pi\)
\(234\) 1.96336 2.47627i 0.128349 0.161879i
\(235\) −0.500580 9.16592i −0.0326543 0.597918i
\(236\) 5.84454 3.37435i 0.380447 0.219651i
\(237\) 14.3490 + 11.7048i 0.932067 + 0.760307i
\(238\) 0.00332911 + 0.00155239i 0.000215794 + 0.000100627i
\(239\) −4.53038 7.84685i −0.293046 0.507570i 0.681483 0.731834i \(-0.261336\pi\)
−0.974528 + 0.224264i \(0.928002\pi\)
\(240\) 3.80080 + 0.744233i 0.245341 + 0.0480400i
\(241\) 0.572978 3.24952i 0.0369088 0.209320i −0.960776 0.277325i \(-0.910552\pi\)
0.997685 + 0.0680048i \(0.0216633\pi\)
\(242\) −9.56150 0.836523i −0.614636 0.0537737i
\(243\) 6.33434 + 14.2435i 0.406348 + 0.913718i
\(244\) 3.91553 0.690414i 0.250666 0.0441992i
\(245\) −13.2346 8.22949i −0.845529 0.525763i
\(246\) −0.600022 + 2.37042i −0.0382560 + 0.151132i
\(247\) 1.64715 4.28602i 0.104805 0.272713i
\(248\) 4.03422 4.03422i 0.256173 0.256173i
\(249\) 5.84022 8.59205i 0.370109 0.544499i
\(250\) 3.70963 + 10.5470i 0.234617 + 0.667049i
\(251\) −5.39472 + 6.42918i −0.340512 + 0.405806i −0.908940 0.416926i \(-0.863107\pi\)
0.568428 + 0.822733i \(0.307552\pi\)
\(252\) −0.287807 + 0.436321i −0.0181301 + 0.0274856i
\(253\) 5.19877 3.64022i 0.326844 0.228859i
\(254\) 8.68215 15.0379i 0.544767 0.943564i
\(255\) −0.0814619 + 0.00558369i −0.00510134 + 0.000349664i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −21.4084 9.98289i −1.33542 0.622716i −0.381942 0.924186i \(-0.624745\pi\)
−0.953476 + 0.301470i \(0.902523\pi\)
\(258\) −7.39282 + 13.2252i −0.460257 + 0.823368i
\(259\) −0.488927 0.282282i −0.0303805 0.0175402i
\(260\) −2.16618 + 0.925115i −0.134341 + 0.0573732i
\(261\) −4.08593 19.9223i −0.252913 1.23316i
\(262\) 10.5596 0.923842i 0.652372 0.0570752i
\(263\) −8.09780 5.67014i −0.499332 0.349636i 0.296620 0.954995i \(-0.404140\pi\)
−0.795952 + 0.605360i \(0.793029\pi\)
\(264\) −1.69611 1.15289i −0.104388 0.0709553i
\(265\) −0.517995 0.793815i −0.0318202 0.0487637i
\(266\) −0.209616 + 0.729955i −0.0128524 + 0.0447564i
\(267\) 5.88998 3.51045i 0.360461 0.214836i
\(268\) 6.76170 + 14.5005i 0.413037 + 0.885760i
\(269\) −3.04002 17.2408i −0.185354 1.05119i −0.925500 0.378747i \(-0.876355\pi\)
0.740147 0.672445i \(-0.234756\pi\)
\(270\) 0.909313 11.5833i 0.0553390 0.704938i
\(271\) −0.477497 + 0.400668i −0.0290059 + 0.0243388i −0.657175 0.753738i \(-0.728249\pi\)
0.628169 + 0.778077i \(0.283804\pi\)
\(272\) 0.0172700 0.0120926i 0.00104715 0.000733219i
\(273\) −0.00441138 0.317859i −0.000266989 0.0192377i
\(274\) −2.52892 + 1.46007i −0.152778 + 0.0882062i
\(275\) 0.386997 5.90760i 0.0233368 0.356242i
\(276\) −9.23636 + 0.937401i −0.555963 + 0.0564249i
\(277\) 2.86699 + 0.768207i 0.172261 + 0.0461571i 0.343918 0.939000i \(-0.388246\pi\)
−0.171658 + 0.985157i \(0.554912\pi\)
\(278\) −3.64268 13.5947i −0.218474 0.815354i
\(279\) −13.4117 10.6337i −0.802936 0.636622i
\(280\) 0.343587 0.183659i 0.0205332 0.0109757i
\(281\) −14.8251 + 17.6678i −0.884390 + 1.05397i 0.113780 + 0.993506i \(0.463704\pi\)
−0.998170 + 0.0604687i \(0.980740\pi\)
\(282\) 5.38298 4.64567i 0.320552 0.276645i
\(283\) −1.87570 4.02245i −0.111499 0.239110i 0.842638 0.538480i \(-0.181001\pi\)
−0.954137 + 0.299370i \(0.903223\pi\)
\(284\) −6.15365 −0.365152
\(285\) −3.76861 16.4559i −0.223233 0.974765i
\(286\) 1.24727 0.0737526
\(287\) 0.103950 + 0.222921i 0.00613597 + 0.0131586i
\(288\) 1.34282 + 2.68269i 0.0791265 + 0.158079i
\(289\) 10.9271 13.0224i 0.642771 0.766024i
\(290\) −4.39997 + 14.5057i −0.258375 + 0.851803i
\(291\) −18.6644 8.39004i −1.09413 0.491833i
\(292\) 1.69089 + 6.31050i 0.0989520 + 0.369294i
\(293\) −28.0801 7.52404i −1.64046 0.439559i −0.683538 0.729915i \(-0.739560\pi\)
−0.956919 + 0.290356i \(0.906226\pi\)
\(294\) −1.21891 12.0101i −0.0710881 0.700442i
\(295\) 2.13306 + 14.9390i 0.124191 + 0.869784i
\(296\) −2.80620 + 1.62016i −0.163107 + 0.0941698i
\(297\) −2.85183 + 5.45165i −0.165480 + 0.316337i
\(298\) 12.4488 8.71677i 0.721142 0.504949i
\(299\) 4.32523 3.62930i 0.250134 0.209888i
\(300\) −4.71074 + 7.26698i −0.271975 + 0.419559i
\(301\) 0.264658 + 1.50095i 0.0152546 + 0.0865132i
\(302\) −7.34157 15.7440i −0.422460 0.905968i
\(303\) −11.3710 19.0787i −0.653246 1.09604i
\(304\) 3.02674 + 3.13670i 0.173595 + 0.179902i
\(305\) −1.82930 + 8.70023i −0.104746 + 0.498174i
\(306\) −0.0419841 0.0473040i −0.00240007 0.00270419i
\(307\) −6.58261 4.60919i −0.375689 0.263060i 0.370447 0.928854i \(-0.379204\pi\)
−0.746136 + 0.665793i \(0.768093\pi\)
\(308\) −0.205514 + 0.0179801i −0.0117102 + 0.00102451i
\(309\) 1.30318 0.629843i 0.0741351 0.0358305i
\(310\) 5.01049 + 11.7322i 0.284577 + 0.666343i
\(311\) 18.4798 + 10.6693i 1.04790 + 0.605003i 0.922060 0.387048i \(-0.126505\pi\)
0.125836 + 0.992051i \(0.459839\pi\)
\(312\) −1.59259 0.890249i −0.0901629 0.0504004i
\(313\) 16.6632 + 7.77019i 0.941861 + 0.439197i 0.832016 0.554752i \(-0.187187\pi\)
0.109845 + 0.993949i \(0.464965\pi\)
\(314\) −6.49232 + 2.36301i −0.366383 + 0.133352i
\(315\) −0.665634 0.960715i −0.0375042 0.0541302i
\(316\) 5.34552 9.25872i 0.300709 0.520844i
\(317\) −15.2430 + 10.6733i −0.856133 + 0.599471i −0.917095 0.398669i \(-0.869472\pi\)
0.0609615 + 0.998140i \(0.480583\pi\)
\(318\) 0.241519 0.693358i 0.0135437 0.0388816i
\(319\) 5.15946 6.14881i 0.288874 0.344267i
\(320\) 0.0731230 2.23487i 0.00408770 0.124933i
\(321\) 22.4807 + 15.2806i 1.25475 + 0.852882i
\(322\) −0.660353 + 0.660353i −0.0368000 + 0.0368000i
\(323\) −0.0787532 0.0473611i −0.00438195 0.00263524i
\(324\) 7.53256 4.92550i 0.418475 0.273639i
\(325\) −0.115082 5.26570i −0.00638362 0.292088i
\(326\) 13.3993 2.36266i 0.742119 0.130856i
\(327\) −0.829099 + 5.11625i −0.0458493 + 0.282929i
\(328\) 1.40635 + 0.123040i 0.0776528 + 0.00679374i
\(329\) 0.124203 0.704393i 0.00684756 0.0388344i
\(330\) 3.80534 2.55912i 0.209477 0.140875i
\(331\) −3.06107 5.30193i −0.168252 0.291420i 0.769554 0.638582i \(-0.220479\pi\)
−0.937805 + 0.347162i \(0.887145\pi\)
\(332\) −5.43612 2.53491i −0.298346 0.139121i
\(333\) 5.79455 + 7.80514i 0.317539 + 0.427719i
\(334\) −15.9173 + 9.18986i −0.870956 + 0.502847i
\(335\) −35.7229 + 1.95094i −1.95175 + 0.106591i
\(336\) 0.275247 + 0.123729i 0.0150159 + 0.00674996i
\(337\) −0.330975 + 3.78307i −0.0180294 + 0.206077i 0.981837 + 0.189727i \(0.0607602\pi\)
−0.999866 + 0.0163501i \(0.994795\pi\)
\(338\) −11.8451 + 1.03631i −0.644290 + 0.0563680i
\(339\) −6.00953 0.441827i −0.326393 0.0239967i
\(340\) 0.0107057 + 0.0459107i 0.000580600 + 0.00248986i
\(341\) 6.75530i 0.365820i
\(342\) 8.30580 10.1002i 0.449126 0.546155i
\(343\) −1.72106 1.72106i −0.0929285 0.0929285i
\(344\) 8.22004 + 2.99185i 0.443195 + 0.161310i
\(345\) 5.74948 19.9471i 0.309542 1.07392i
\(346\) 2.49711 + 2.09532i 0.134245 + 0.112645i
\(347\) 10.1664 + 0.889446i 0.545762 + 0.0477479i 0.356703 0.934218i \(-0.383901\pi\)
0.189059 + 0.981966i \(0.439456\pi\)
\(348\) −10.9767 + 4.16858i −0.588412 + 0.223460i
\(349\) 15.8399 + 9.14516i 0.847890 + 0.489529i 0.859938 0.510398i \(-0.170502\pi\)
−0.0120486 + 0.999927i \(0.503835\pi\)
\(350\) 0.0948703 + 0.865975i 0.00507103 + 0.0462883i
\(351\) −2.10476 + 5.05273i −0.112344 + 0.269695i
\(352\) −0.500402 + 1.07312i −0.0266715 + 0.0571973i
\(353\) 25.9287 + 6.94757i 1.38004 + 0.369782i 0.871137 0.491040i \(-0.163383\pi\)
0.508907 + 0.860821i \(0.330050\pi\)
\(354\) −8.14993 + 8.37933i −0.433164 + 0.445357i
\(355\) 5.12651 12.7693i 0.272087 0.677726i
\(356\) −2.54464 3.03258i −0.134865 0.160726i
\(357\) −0.00628036 0.00101774i −0.000332392 5.38647e-5i
\(358\) 5.99003 8.55465i 0.316583 0.452127i
\(359\) −11.3260 4.12234i −0.597765 0.217569i 0.0253762 0.999678i \(-0.491922\pi\)
−0.623141 + 0.782109i \(0.714144\pi\)
\(360\) −6.68549 + 0.551556i −0.352356 + 0.0290696i
\(361\) 7.13112 17.6110i 0.375322 0.926894i
\(362\) 2.83122 + 2.83122i 0.148806 + 0.148806i
\(363\) 16.3301 3.11369i 0.857106 0.163426i
\(364\) −0.180745 + 0.0318703i −0.00947363 + 0.00167046i
\(365\) −14.5035 1.74843i −0.759146 0.0915172i
\(366\) −6.20032 + 2.99670i −0.324096 + 0.156640i
\(367\) 12.0216 + 17.1686i 0.627523 + 0.896196i 0.999486 0.0320518i \(-0.0102041\pi\)
−0.371963 + 0.928247i \(0.621315\pi\)
\(368\) 1.38727 + 5.17737i 0.0723166 + 0.269889i
\(369\) −0.117532 4.23354i −0.00611849 0.220389i
\(370\) −1.02417 7.17282i −0.0532438 0.372897i
\(371\) −0.0252605 0.0694027i −0.00131146 0.00360321i
\(372\) −4.82165 + 8.62560i −0.249991 + 0.447217i
\(373\) −11.0329 + 2.95626i −0.571263 + 0.153070i −0.532876 0.846193i \(-0.678889\pi\)
−0.0383873 + 0.999263i \(0.512222\pi\)
\(374\) 0.00433479 0.0245838i 0.000224147 0.00127120i
\(375\) −11.1551 15.8292i −0.576049 0.817415i
\(376\) −3.14479 2.63879i −0.162180 0.136085i
\(377\) 4.09588 5.84952i 0.210948 0.301266i
\(378\) 0.273965 0.862884i 0.0140913 0.0443819i
\(379\) 18.0520i 0.927268i 0.886027 + 0.463634i \(0.153455\pi\)
−0.886027 + 0.463634i \(0.846545\pi\)
\(380\) −9.03044 + 3.66759i −0.463252 + 0.188144i
\(381\) −7.38031 + 29.1563i −0.378105 + 1.49372i
\(382\) −20.0447 + 9.34698i −1.02557 + 0.478233i
\(383\) −13.5316 9.47493i −0.691433 0.484146i 0.174275 0.984697i \(-0.444242\pi\)
−0.865707 + 0.500551i \(0.833131\pi\)
\(384\) 1.40489 1.01306i 0.0716930 0.0516973i
\(385\) 0.133900 0.441437i 0.00682418 0.0224977i
\(386\) 19.8831 + 3.50592i 1.01202 + 0.178447i
\(387\) 6.08605 25.5273i 0.309371 1.29763i
\(388\) −3.05784 + 11.4120i −0.155238 + 0.579358i
\(389\) −13.6632 + 4.97299i −0.692751 + 0.252141i −0.664313 0.747455i \(-0.731276\pi\)
−0.0284383 + 0.999596i \(0.509053\pi\)
\(390\) 3.17411 2.56311i 0.160727 0.129788i
\(391\) −0.0565018 0.0978640i −0.00285742 0.00494919i
\(392\) −6.73216 + 1.80388i −0.340025 + 0.0911095i
\(393\) −17.1636 + 6.51815i −0.865787 + 0.328797i
\(394\) 9.06279 + 10.8006i 0.456577 + 0.544127i
\(395\) 14.7593 + 18.8057i 0.742623 + 0.946217i
\(396\) 3.37037 + 1.12181i 0.169367 + 0.0563730i
\(397\) −35.6093 + 16.6049i −1.78718 + 0.833377i −0.823043 + 0.567979i \(0.807725\pi\)
−0.964139 + 0.265397i \(0.914497\pi\)
\(398\) −6.99832 + 6.99832i −0.350794 + 0.350794i
\(399\) 0.00521126 1.31541i 0.000260890 0.0658527i
\(400\) 4.57663 + 2.01357i 0.228831 + 0.100679i
\(401\) −3.74108 + 10.2785i −0.186821 + 0.513285i −0.997378 0.0723745i \(-0.976942\pi\)
0.810557 + 0.585660i \(0.199165\pi\)
\(402\) −18.1058 20.9794i −0.903037 1.04636i
\(403\) −0.523793 5.98698i −0.0260920 0.298233i
\(404\) −9.82307 + 8.24254i −0.488716 + 0.410082i
\(405\) 3.94558 + 19.7340i 0.196057 + 0.980592i
\(406\) −0.590557 + 1.02287i −0.0293088 + 0.0507644i
\(407\) −0.993013 + 3.70597i −0.0492218 + 0.183698i
\(408\) −0.0230818 + 0.0282962i −0.00114272 + 0.00140087i
\(409\) 1.98981 + 5.46697i 0.0983899 + 0.270324i 0.979116 0.203302i \(-0.0651672\pi\)
−0.880726 + 0.473626i \(0.842945\pi\)
\(410\) −1.42693 + 2.81580i −0.0704710 + 0.139062i
\(411\) 3.52646 3.62572i 0.173947 0.178843i
\(412\) −0.479313 0.684530i −0.0236141 0.0337244i
\(413\) −0.102481 + 1.17136i −0.00504274 + 0.0576388i
\(414\) 14.9518 5.91691i 0.734843 0.290800i
\(415\) 9.78889 9.16862i 0.480518 0.450070i
\(416\) −0.360281 + 0.989864i −0.0176642 + 0.0485321i
\(417\) 12.4804 + 20.9402i 0.611170 + 1.02545i
\(418\) 5.16034 + 0.0920663i 0.252401 + 0.00450311i
\(419\) 36.3736 1.77696 0.888482 0.458911i \(-0.151760\pi\)
0.888482 + 0.458911i \(0.151760\pi\)
\(420\) −0.486051 + 0.468083i −0.0237169 + 0.0228401i
\(421\) 6.49842 + 36.8544i 0.316714 + 1.79617i 0.562445 + 0.826835i \(0.309861\pi\)
−0.245731 + 0.969338i \(0.579028\pi\)
\(422\) 0.800539 + 9.15020i 0.0389696 + 0.445425i
\(423\) −6.78130 + 10.2806i −0.329718 + 0.499859i
\(424\) −0.417461 0.0736096i −0.0202737 0.00357480i
\(425\) −0.104187 0.0160322i −0.00505383 0.000777678i
\(426\) 10.2560 2.90121i 0.496904 0.140564i
\(427\) −0.292761 + 0.627829i −0.0141677 + 0.0303828i
\(428\) 6.63245 14.2233i 0.320592 0.687511i
\(429\) −2.07876 + 0.588040i −0.100364 + 0.0283908i
\(430\) −13.0563 + 14.5648i −0.629632 + 0.702378i
\(431\) 33.4789 + 5.90323i 1.61262 + 0.284349i 0.906011 0.423255i \(-0.139112\pi\)
0.706610 + 0.707603i \(0.250224\pi\)
\(432\) −3.50280 3.83802i −0.168528 0.184657i
\(433\) 1.77322 + 20.2680i 0.0852156 + 0.974019i 0.911645 + 0.410979i \(0.134813\pi\)
−0.826429 + 0.563041i \(0.809631\pi\)
\(434\) 0.172612 + 0.978929i 0.00828562 + 0.0469901i
\(435\) 0.494350 26.2503i 0.0237022 1.25861i
\(436\) 2.99240 0.143310
\(437\) 18.1627 14.6963i 0.868840 0.703018i
\(438\) −5.79328 9.72020i −0.276814 0.464449i
\(439\) 3.48257 9.56829i 0.166214 0.456670i −0.828422 0.560104i \(-0.810761\pi\)
0.994636 + 0.103435i \(0.0329833\pi\)
\(440\) −1.80993 1.93237i −0.0862849 0.0921222i
\(441\) 7.69378 + 19.4419i 0.366371 + 0.925807i
\(442\) 0.00193559 0.0221239i 9.20665e−5 0.00105232i
\(443\) −3.07762 4.39530i −0.146222 0.208827i 0.739359 0.673311i \(-0.235129\pi\)
−0.885581 + 0.464484i \(0.846240\pi\)
\(444\) 3.91311 4.02325i 0.185708 0.190935i
\(445\) 8.41275 2.75394i 0.398803 0.130549i
\(446\) −7.08774 19.4734i −0.335614 0.922092i
\(447\) −16.6383 + 20.3970i −0.786962 + 0.964743i
\(448\) 0.0450943 0.168294i 0.00213051 0.00795116i
\(449\) −6.67699 + 11.5649i −0.315107 + 0.545781i −0.979460 0.201638i \(-0.935374\pi\)
0.664354 + 0.747418i \(0.268707\pi\)
\(450\) 4.42505 14.3324i 0.208599 0.675638i
\(451\) 1.28049 1.07445i 0.0602957 0.0505941i
\(452\) 0.303212 + 3.46573i 0.0142619 + 0.163014i
\(453\) 19.6585 + 22.7786i 0.923639 + 1.07023i
\(454\) 0.216481 0.594776i 0.0101599 0.0279142i
\(455\) 0.0844426 0.401612i 0.00395873 0.0188279i
\(456\) −6.52334 3.80079i −0.305483 0.177988i
\(457\) −12.9927 + 12.9927i −0.607775 + 0.607775i −0.942364 0.334589i \(-0.891402\pi\)
0.334589 + 0.942364i \(0.391402\pi\)
\(458\) −8.78135 + 4.09481i −0.410326 + 0.191338i
\(459\) 0.0922748 + 0.0590454i 0.00430702 + 0.00275600i
\(460\) −11.8992 1.43448i −0.554802 0.0668830i
\(461\) −19.7131 23.4932i −0.918132 1.09419i −0.995268 0.0971666i \(-0.969022\pi\)
0.0771361 0.997021i \(-0.475422\pi\)
\(462\) 0.334043 0.126858i 0.0155411 0.00590199i
\(463\) −37.7596 + 10.1177i −1.75484 + 0.470207i −0.985648 0.168814i \(-0.946006\pi\)
−0.769189 + 0.639021i \(0.779339\pi\)
\(464\) 3.38950 + 5.87079i 0.157354 + 0.272545i
\(465\) −13.8820 17.1912i −0.643763 0.797222i
\(466\) −0.543608 + 0.197857i −0.0251822 + 0.00916556i
\(467\) −10.5631 + 39.4221i −0.488803 + 1.82424i 0.0734859 + 0.997296i \(0.476588\pi\)
−0.562289 + 0.826941i \(0.690079\pi\)
\(468\) 3.07402 + 0.732887i 0.142096 + 0.0338777i
\(469\) −2.74527 0.484065i −0.126765 0.0223521i
\(470\) 8.09559 4.32736i 0.373422 0.199606i
\(471\) 9.70636 6.99919i 0.447246 0.322506i
\(472\) 5.52821 + 3.87089i 0.254456 + 0.178172i
\(473\) 9.38717 4.37731i 0.431623 0.201269i
\(474\) −4.54399 + 17.9513i −0.208712 + 0.824528i
\(475\) −0.0874475 21.7943i −0.00401237 0.999992i
\(476\) 0.00367327i 0.000168364i
\(477\) −0.0756362 + 1.26945i −0.00346314 + 0.0581242i
\(478\) 5.19704 7.42214i 0.237707 0.339481i
\(479\) 21.0703 + 17.6801i 0.962727 + 0.807824i 0.981394 0.192002i \(-0.0614981\pi\)
−0.0186679 + 0.999826i \(0.505943\pi\)
\(480\) 0.931785 + 3.75923i 0.0425300 + 0.171584i
\(481\) −0.592717 + 3.36147i −0.0270256 + 0.153270i
\(482\) 3.18722 0.854012i 0.145174 0.0388992i
\(483\) 0.789247 1.41191i 0.0359120 0.0642441i
\(484\) −3.28272 9.01919i −0.149214 0.409963i
\(485\) −21.1335 15.8525i −0.959621 0.719823i
\(486\) −10.2320 + 11.7604i −0.464131 + 0.533463i
\(487\) −5.24352 19.5691i −0.237606 0.886759i −0.976957 0.213438i \(-0.931534\pi\)
0.739350 0.673321i \(-0.235133\pi\)
\(488\) 2.28050 + 3.25690i 0.103234 + 0.147433i
\(489\) −21.2181 + 10.2550i −0.959514 + 0.463747i
\(490\) 1.86526 15.4726i 0.0842640 0.698980i
\(491\) 22.2954 3.93127i 1.00618 0.177416i 0.353807 0.935318i \(-0.384887\pi\)
0.652368 + 0.757902i \(0.273776\pi\)
\(492\) −2.40191 + 0.457976i −0.108286 + 0.0206472i
\(493\) −0.101060 0.101060i −0.00455150 0.00455150i
\(494\) 4.58056 0.318528i 0.206089 0.0143312i
\(495\) −5.13564 + 6.05923i −0.230830 + 0.272342i
\(496\) 5.36117 + 1.95131i 0.240724 + 0.0876163i
\(497\) 0.614964 0.878260i 0.0275849 0.0393954i
\(498\) 10.2552 + 1.66188i 0.459548 + 0.0744706i
\(499\) 23.8480 + 28.4209i 1.06758 + 1.27230i 0.960570 + 0.278038i \(0.0896841\pi\)
0.107013 + 0.994258i \(0.465871\pi\)
\(500\) −7.99105 + 7.81941i −0.357371 + 0.349695i
\(501\) 22.1959 22.8207i 0.991640 1.01955i
\(502\) −8.10673 2.17219i −0.361821 0.0969496i
\(503\) 6.35856 13.6360i 0.283514 0.607998i −0.712045 0.702134i \(-0.752231\pi\)
0.995559 + 0.0941355i \(0.0300087\pi\)
\(504\) −0.517073 0.0764447i −0.0230323 0.00340512i
\(505\) −8.92050 27.2504i −0.396957 1.21263i
\(506\) 5.49625 + 3.17326i 0.244338 + 0.141069i
\(507\) 19.2531 7.31169i 0.855060 0.324724i
\(508\) 17.2982 + 1.51340i 0.767485 + 0.0671462i
\(509\) 14.7743 + 12.3971i 0.654859 + 0.549492i 0.908541 0.417796i \(-0.137197\pi\)
−0.253682 + 0.967288i \(0.581642\pi\)
\(510\) −0.0394878 0.0714698i −0.00174855 0.00316474i
\(511\) −1.06962 0.389312i −0.0473174 0.0172221i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −9.08101 + 20.7493i −0.400937 + 0.916106i
\(514\) 23.6215i 1.04190i
\(515\) 1.81977 0.424343i 0.0801885 0.0186988i
\(516\) −15.1105 1.11094i −0.665202 0.0489063i
\(517\) −4.84231 + 0.423647i −0.212965 + 0.0186320i
\(518\) 0.0492050 0.562416i 0.00216194 0.0247111i
\(519\) −5.14967 2.31488i −0.226045 0.101612i
\(520\) −1.75391 1.57225i −0.0769139 0.0689479i
\(521\) 32.8524 18.9674i 1.43929 0.830976i 0.441492 0.897265i \(-0.354450\pi\)
0.997800 + 0.0662899i \(0.0211162\pi\)
\(522\) 16.3290 12.1227i 0.714700 0.530594i
\(523\) 29.4220 + 13.7197i 1.28653 + 0.599921i 0.940975 0.338476i \(-0.109911\pi\)
0.345559 + 0.938397i \(0.387689\pi\)
\(524\) 5.29995 + 9.17979i 0.231529 + 0.401021i
\(525\) −0.566389 1.39855i −0.0247193 0.0610377i
\(526\) 1.71661 9.73540i 0.0748479 0.424484i
\(527\) −0.119824 0.0104833i −0.00521963 0.000456659i
\(528\) 0.328063 2.02443i 0.0142771 0.0881020i
\(529\) 5.64263 0.994948i 0.245332 0.0432586i
\(530\) 0.500526 0.804943i 0.0217415 0.0349645i
\(531\) 9.63256 17.8078i 0.418017 0.772793i
\(532\) −0.750152 + 0.118516i −0.0325232 + 0.00513830i
\(533\) 1.05154 1.05154i 0.0455471 0.0455471i
\(534\) 5.67076 + 3.85455i 0.245398 + 0.166803i
\(535\) 23.9892 + 25.6121i 1.03714 + 1.10731i
\(536\) −10.2843 + 12.2564i −0.444215 + 0.529395i
\(537\) −5.95010 + 17.0817i −0.256766 + 0.737129i
\(538\) 14.3407 10.0415i 0.618273 0.432919i
\(539\) −4.12621 + 7.14681i −0.177728 + 0.307835i
\(540\) 10.8823 4.07120i 0.468301 0.175197i
\(541\) 21.9271 7.98082i 0.942721 0.343122i 0.175481 0.984483i \(-0.443852\pi\)
0.767240 + 0.641361i \(0.221630\pi\)
\(542\) −0.564927 0.263430i −0.0242657 0.0113153i
\(543\) −6.05347 3.38385i −0.259779 0.145215i
\(544\) 0.0182582 + 0.0105414i 0.000782813 + 0.000451957i
\(545\) −2.49293 + 6.20949i −0.106785 + 0.265985i
\(546\) 0.286214 0.138331i 0.0122488 0.00592002i
\(547\) 2.68584 0.234980i 0.114838 0.0100470i −0.0295918 0.999562i \(-0.509421\pi\)
0.144430 + 0.989515i \(0.453865\pi\)
\(548\) −2.39204 1.67493i −0.102183 0.0715493i
\(549\) 8.92094 7.91767i 0.380737 0.337918i
\(550\) 5.51765 2.14592i 0.235274 0.0915024i
\(551\) 17.3777 23.8989i 0.740315 1.01813i
\(552\) −4.75303 7.97482i −0.202302 0.339431i
\(553\) 0.787217 + 1.68819i 0.0334759 + 0.0717892i
\(554\) 0.515409 + 2.92303i 0.0218976 + 0.124188i
\(555\) 5.08864 + 11.4717i 0.216001 + 0.486948i
\(556\) 10.7815 9.04675i 0.457237 0.383668i
\(557\) 11.1925 7.83708i 0.474242 0.332068i −0.311899 0.950115i \(-0.600965\pi\)
0.786141 + 0.618047i \(0.212076\pi\)
\(558\) 3.96937 16.6491i 0.168037 0.704812i
\(559\) 7.98011 4.60732i 0.337523 0.194869i
\(560\) 0.311657 + 0.233778i 0.0131699 + 0.00987892i
\(561\) 0.00436574 + 0.0430163i 0.000184322 + 0.00181615i
\(562\) −22.2778 5.96933i −0.939734 0.251801i
\(563\) −9.50570 35.4757i −0.400617 1.49512i −0.811998 0.583660i \(-0.801620\pi\)
0.411381 0.911464i \(-0.365047\pi\)
\(564\) 6.48535 + 2.91530i 0.273083 + 0.122756i
\(565\) −7.44428 2.25806i −0.313183 0.0949971i
\(566\) 2.85287 3.39992i 0.119915 0.142909i
\(567\) −0.0497882 + 1.56729i −0.00209091 + 0.0658200i
\(568\) −2.60065 5.57710i −0.109121 0.234010i
\(569\) −37.4018 −1.56796 −0.783982 0.620783i \(-0.786815\pi\)
−0.783982 + 0.620783i \(0.786815\pi\)
\(570\) 13.3215 10.3701i 0.557974 0.434356i
\(571\) 29.3354 1.22765 0.613823 0.789443i \(-0.289631\pi\)
0.613823 + 0.789443i \(0.289631\pi\)
\(572\) 0.527119 + 1.13041i 0.0220400 + 0.0472648i
\(573\) 29.0007 25.0284i 1.21152 1.04558i
\(574\) −0.158104 + 0.188421i −0.00659914 + 0.00786455i
\(575\) 12.8897 23.4968i 0.537537 0.979883i
\(576\) −1.86384 + 2.35076i −0.0776601 + 0.0979485i
\(577\) −4.70641 17.5645i −0.195930 0.731222i −0.992024 0.126048i \(-0.959771\pi\)
0.796094 0.605173i \(-0.206896\pi\)
\(578\) 16.4203 + 4.39981i 0.682995 + 0.183008i
\(579\) −34.7910 + 3.53095i −1.44587 + 0.146741i
\(580\) −15.0061 + 2.14264i −0.623095 + 0.0889681i
\(581\) 0.905045 0.522528i 0.0375476 0.0216781i
\(582\) −0.283973 20.4615i −0.0117711 0.848157i
\(583\) −0.411150 + 0.287890i −0.0170281 + 0.0119232i
\(584\) −5.00465 + 4.19940i −0.207094 + 0.173772i
\(585\) −4.08172 + 5.76828i −0.168758 + 0.238489i
\(586\) −5.04807 28.6290i −0.208534 1.18265i
\(587\) −11.5830 24.8398i −0.478081 1.02525i −0.986443 0.164105i \(-0.947526\pi\)
0.508361 0.861144i \(-0.330251\pi\)
\(588\) 10.3697 6.18038i 0.427639 0.254875i
\(589\) −1.72517 24.8087i −0.0710844 1.02222i
\(590\) −12.6379 + 8.24671i −0.520294 + 0.339512i
\(591\) −20.1966 13.7281i −0.830776 0.564698i
\(592\) −2.65431 1.85857i −0.109092 0.0763868i
\(593\) 28.5473 2.49756i 1.17230 0.102563i 0.515675 0.856784i \(-0.327541\pi\)
0.656620 + 0.754222i \(0.271986\pi\)
\(594\) −6.14611 0.280666i −0.252178 0.0115159i
\(595\) −0.00762234 0.00306014i −0.000312485 0.000125454i
\(596\) 13.1612 + 7.59862i 0.539103 + 0.311251i
\(597\) 8.36432 14.9632i 0.342329 0.612403i
\(598\) 5.11718 + 2.38618i 0.209257 + 0.0975782i
\(599\) −16.0206 + 5.83100i −0.654582 + 0.238248i −0.647895 0.761729i \(-0.724351\pi\)
−0.00668653 + 0.999978i \(0.502128\pi\)
\(600\) −8.57696 1.19822i −0.350153 0.0489171i
\(601\) −15.3348 + 26.5606i −0.625518 + 1.08343i 0.362923 + 0.931819i \(0.381779\pi\)
−0.988440 + 0.151609i \(0.951554\pi\)
\(602\) −1.24847 + 0.874189i −0.0508839 + 0.0356293i
\(603\) 40.0671 + 26.4292i 1.63166 + 1.07628i
\(604\) 11.1663 13.3074i 0.454349 0.541472i
\(605\) 21.4503 + 0.701836i 0.872081 + 0.0285337i
\(606\) 12.4856 18.3686i 0.507193 0.746175i
\(607\) −11.0024 + 11.0024i −0.446573 + 0.446573i −0.894214 0.447640i \(-0.852264\pi\)
0.447640 + 0.894214i \(0.352264\pi\)
\(608\) −1.56366 + 4.06878i −0.0634148 + 0.165011i
\(609\) 0.502006 1.98320i 0.0203423 0.0803633i
\(610\) −8.65819 + 2.01897i −0.350560 + 0.0817455i
\(611\) −4.25872 + 0.750927i −0.172289 + 0.0303792i
\(612\) 0.0251288 0.0580420i 0.00101577 0.00234621i
\(613\) 18.0753 + 1.58138i 0.730053 + 0.0638714i 0.446120 0.894973i \(-0.352805\pi\)
0.283933 + 0.958844i \(0.408361\pi\)
\(614\) 1.39542 7.91380i 0.0563144 0.319375i
\(615\) 1.05065 5.36569i 0.0423664 0.216365i
\(616\) −0.103149 0.178660i −0.00415601 0.00719842i
\(617\) 28.8047 + 13.4319i 1.15964 + 0.540747i 0.904632 0.426194i \(-0.140146\pi\)
0.255003 + 0.966940i \(0.417924\pi\)
\(618\) 1.12158 + 0.914895i 0.0451165 + 0.0368025i
\(619\) 27.0379 15.6103i 1.08674 0.627432i 0.154037 0.988065i \(-0.450773\pi\)
0.932708 + 0.360633i \(0.117439\pi\)
\(620\) −8.51544 + 9.49928i −0.341988 + 0.381500i
\(621\) −22.1299 + 16.9106i −0.888042 + 0.678600i
\(622\) −1.85979 + 21.2575i −0.0745707 + 0.852348i
\(623\) 0.687113 0.0601146i 0.0275286 0.00240844i
\(624\) 0.133780 1.81962i 0.00535548 0.0728429i
\(625\) −9.56870 23.0963i −0.382748 0.923853i
\(626\) 18.3858i 0.734845i
\(627\) −8.64389 + 2.27946i −0.345204 + 0.0910329i
\(628\) −4.88539 4.88539i −0.194948 0.194948i
\(629\) 0.0641949 + 0.0233650i 0.00255962 + 0.000931624i
\(630\) 0.589395 1.00928i 0.0234820 0.0402109i
\(631\) −0.309647 0.259824i −0.0123268 0.0103434i 0.636603 0.771191i \(-0.280339\pi\)
−0.648930 + 0.760848i \(0.724783\pi\)
\(632\) 10.6504 + 0.931786i 0.423649 + 0.0370645i
\(633\) −5.64818 14.8728i −0.224495 0.591139i
\(634\) −16.1153 9.30415i −0.640018 0.369515i
\(635\) −17.5513 + 34.6345i −0.696503 + 1.37443i
\(636\) 0.730466 0.0741352i 0.0289649 0.00293965i
\(637\) −3.10276 + 6.65390i −0.122936 + 0.263637i
\(638\) 7.75319 + 2.07746i 0.306952 + 0.0822475i
\(639\) −15.7253 + 9.67060i −0.622085 + 0.382563i
\(640\) 2.05639 0.878226i 0.0812858 0.0347149i
\(641\) −23.9834 28.5824i −0.947289 1.12894i −0.991525 0.129914i \(-0.958530\pi\)
0.0442360 0.999021i \(-0.485915\pi\)
\(642\) −4.34822 + 26.8323i −0.171611 + 1.05899i
\(643\) −22.2622 + 31.7937i −0.877935 + 1.25382i 0.0882837 + 0.996095i \(0.471862\pi\)
−0.966218 + 0.257725i \(0.917027\pi\)
\(644\) −0.877560 0.319406i −0.0345807 0.0125864i
\(645\) 14.8936 30.4300i 0.586435 1.19818i
\(646\) 0.00964117 0.0913903i 0.000379327 0.00359570i
\(647\) 9.29410 + 9.29410i 0.365389 + 0.365389i 0.865792 0.500404i \(-0.166815\pi\)
−0.500404 + 0.865792i \(0.666815\pi\)
\(648\) 7.64742 + 4.74521i 0.300419 + 0.186409i
\(649\) 7.86941 1.38759i 0.308901 0.0544676i
\(650\) 4.72371 2.32968i 0.185279 0.0913776i
\(651\) −0.749211 1.55015i −0.0293639 0.0607553i
\(652\) 7.80409 + 11.1454i 0.305632 + 0.436487i
\(653\) 5.66296 + 21.1345i 0.221609 + 0.827055i 0.983735 + 0.179627i \(0.0574889\pi\)
−0.762126 + 0.647429i \(0.775844\pi\)
\(654\) −4.98729 + 1.41080i −0.195019 + 0.0551668i
\(655\) −23.4641 + 3.35030i −0.916819 + 0.130907i
\(656\) 0.482838 + 1.32659i 0.0188517 + 0.0517945i
\(657\) 14.2381 + 13.4689i 0.555480 + 0.525471i
\(658\) 0.690887 0.185123i 0.0269336 0.00721683i
\(659\) 8.35945 47.4088i 0.325638 1.84679i −0.179515 0.983755i \(-0.557453\pi\)
0.505153 0.863030i \(-0.331436\pi\)
\(660\) 3.92756 + 2.36728i 0.152880 + 0.0921462i
\(661\) 13.4232 + 11.2634i 0.522102 + 0.438096i 0.865364 0.501144i \(-0.167087\pi\)
−0.343262 + 0.939240i \(0.611532\pi\)
\(662\) 3.51151 5.01496i 0.136479 0.194912i
\(663\) 0.00720460 + 0.0377853i 0.000279803 + 0.00146746i
\(664\) 5.99810i 0.232771i
\(665\) 0.379010 1.65536i 0.0146974 0.0641921i
\(666\) −4.62498 + 8.55024i −0.179214 + 0.331315i
\(667\) 32.9312 15.3561i 1.27510 0.594589i
\(668\) −15.0558 10.5422i −0.582526 0.407889i
\(669\) 20.9937 + 29.1138i 0.811665 + 1.12560i
\(670\) −16.8653 31.5514i −0.651563 1.21894i
\(671\) 4.63620 + 0.817487i 0.178978 + 0.0315587i
\(672\) 0.00418779 + 0.301748i 0.000161547 + 0.0116402i
\(673\) −8.87067 + 33.1058i −0.341939 + 1.27613i 0.554208 + 0.832378i \(0.313021\pi\)
−0.896147 + 0.443757i \(0.853646\pi\)
\(674\) −3.56850 + 1.29883i −0.137453 + 0.0500290i
\(675\) −0.617824 + 25.9734i −0.0237800 + 0.999717i
\(676\) −5.94518 10.2974i −0.228661 0.396052i
\(677\) −38.5981 + 10.3423i −1.48345 + 0.397489i −0.907519 0.420012i \(-0.862026\pi\)
−0.575929 + 0.817500i \(0.695359\pi\)
\(678\) −2.13931 5.63321i −0.0821596 0.216342i
\(679\) −1.32316 1.57688i −0.0507782 0.0605151i
\(680\) −0.0370848 + 0.0291054i −0.00142214 + 0.00111614i
\(681\) −0.0803838 + 1.09335i −0.00308032 + 0.0418971i
\(682\) 6.12238 2.85491i 0.234438 0.109320i
\(683\) −29.7592 + 29.7592i −1.13870 + 1.13870i −0.150021 + 0.988683i \(0.547934\pi\)
−0.988683 + 0.150021i \(0.952066\pi\)
\(684\) 12.6641 + 3.25909i 0.484222 + 0.124614i
\(685\) 5.46838 3.56833i 0.208936 0.136339i
\(686\) 0.832459 2.28716i 0.0317834 0.0873243i
\(687\) 12.7049 10.9647i 0.484722 0.418329i
\(688\) 0.762403 + 8.71430i 0.0290663 + 0.332230i
\(689\) −0.342065 + 0.287026i −0.0130316 + 0.0109348i
\(690\) 20.5081 3.21923i 0.780730 0.122554i
\(691\) −12.7205 + 22.0325i −0.483909 + 0.838155i −0.999829 0.0184819i \(-0.994117\pi\)
0.515920 + 0.856637i \(0.327450\pi\)
\(692\) −0.843683 + 3.14867i −0.0320720 + 0.119694i
\(693\) −0.496924 + 0.368917i −0.0188766 + 0.0140140i
\(694\) 3.49040 + 9.58979i 0.132494 + 0.364024i
\(695\) 9.79086 + 29.9092i 0.371388 + 1.13452i
\(696\) −8.41697 8.18654i −0.319044 0.310310i
\(697\) −0.0170714 0.0243804i −0.000646624 0.000923474i
\(698\) −1.59411 + 18.2207i −0.0603378 + 0.689665i
\(699\) 0.812723 0.586049i 0.0307400 0.0221664i
\(700\) −0.744746 + 0.451958i −0.0281487 + 0.0170824i
\(701\) −0.448403 + 1.23198i −0.0169360 + 0.0465311i −0.947873 0.318650i \(-0.896771\pi\)
0.930937 + 0.365181i \(0.118993\pi\)
\(702\) −5.46884 + 0.227813i −0.206408 + 0.00859827i
\(703\) −2.70038 + 13.8637i −0.101847 + 0.522879i
\(704\) −1.18405 −0.0446256
\(705\) −11.4523 + 11.0290i −0.431320 + 0.415375i
\(706\) 4.66130 + 26.4355i 0.175430 + 0.994915i
\(707\) −0.194722 2.22568i −0.00732328 0.0837054i
\(708\) −11.0386 3.84509i −0.414855 0.144507i
\(709\) −41.7823 7.36734i −1.56917 0.276686i −0.679631 0.733554i \(-0.737860\pi\)
−0.889535 + 0.456868i \(0.848971\pi\)
\(710\) 13.7395 0.750359i 0.515635 0.0281605i
\(711\) −0.890077 32.0608i −0.0333805 1.20237i
\(712\) 1.67304 3.58785i 0.0626999 0.134460i
\(713\) 12.9237 27.7150i 0.483997 1.03794i
\(714\) −0.00173180 0.00612205i −6.48111e−5 0.000229112i
\(715\) −2.78483 + 0.152089i −0.104147 + 0.00568779i
\(716\) 10.2846 + 1.81346i 0.384355 + 0.0677722i
\(717\) −5.16239 + 14.8203i −0.192793 + 0.553475i
\(718\) −1.05048 12.0070i −0.0392036 0.448099i
\(719\) −5.09393 28.8891i −0.189972 1.07738i −0.919399 0.393325i \(-0.871325\pi\)
0.729428 0.684058i \(-0.239786\pi\)
\(720\) −3.32529 5.82601i −0.123926 0.217123i
\(721\) 0.145598 0.00542233
\(722\) 18.9747 0.979738i 0.706166 0.0364621i
\(723\) −4.90934 + 2.92599i −0.182580 + 0.108819i
\(724\) −1.36943 + 3.76249i −0.0508946 + 0.139832i
\(725\) 8.05522 32.9239i 0.299163 1.22276i
\(726\) 9.72334 + 13.4842i 0.360867 + 0.500444i
\(727\) −3.68977 + 42.1742i −0.136846 + 1.56416i 0.548633 + 0.836063i \(0.315149\pi\)
−0.685479 + 0.728093i \(0.740407\pi\)
\(728\) −0.105271 0.150342i −0.00390159 0.00557204i
\(729\) 11.5085 24.4245i 0.426241 0.904610i
\(730\) −4.54481 13.8835i −0.168211 0.513852i
\(731\) −0.0630764 0.173301i −0.00233296 0.00640977i
\(732\) −5.33630 4.35294i −0.197236 0.160889i
\(733\) −5.16599 + 19.2797i −0.190810 + 0.712113i 0.802502 + 0.596650i \(0.203502\pi\)
−0.993312 + 0.115463i \(0.963165\pi\)
\(734\) −10.4795 + 18.1511i −0.386806 + 0.669968i
\(735\) 4.18598 + 26.6668i 0.154402 + 0.983619i
\(736\) −4.10600 + 3.44535i −0.151349 + 0.126997i
\(737\) 1.65111 + 18.8722i 0.0608192 + 0.695167i
\(738\) 3.78722 1.89569i 0.139410 0.0697814i
\(739\) 0.459799 1.26329i 0.0169140 0.0464708i −0.930948 0.365151i \(-0.881017\pi\)
0.947862 + 0.318680i \(0.103240\pi\)
\(740\) 6.06796 3.95958i 0.223062 0.145557i
\(741\) −7.48403 + 2.69043i −0.274933 + 0.0988356i
\(742\) 0.0522246 0.0522246i 0.00191723 0.00191723i
\(743\) −11.7064 + 5.45879i −0.429467 + 0.200264i −0.625318 0.780370i \(-0.715031\pi\)
0.195851 + 0.980634i \(0.437253\pi\)
\(744\) −9.85517 0.724562i −0.361308 0.0265637i
\(745\) −26.7321 + 20.9803i −0.979390 + 0.768658i
\(746\) −7.34200 8.74985i −0.268810 0.320355i
\(747\) −17.8754 + 2.06517i −0.654027 + 0.0755606i
\(748\) 0.0241125 0.00646091i 0.000881639 0.000236234i
\(749\) 1.36717 + 2.36800i 0.0499552 + 0.0865249i
\(750\) 9.63174 16.7997i 0.351701 0.613438i
\(751\) −4.88419 + 1.77770i −0.178227 + 0.0648692i −0.429592 0.903023i \(-0.641343\pi\)
0.251365 + 0.967892i \(0.419120\pi\)
\(752\) 1.06251 3.96535i 0.0387458 0.144601i
\(753\) 14.5352 0.201725i 0.529692 0.00735128i
\(754\) 7.03246 + 1.24001i 0.256107 + 0.0451586i
\(755\) 18.3116 + 34.2572i 0.666427 + 1.24675i
\(756\) 0.897821 0.116373i 0.0326534 0.00423246i
\(757\) −23.3325 16.3376i −0.848032 0.593799i 0.0667390 0.997770i \(-0.478741\pi\)
−0.914771 + 0.403972i \(0.867629\pi\)
\(758\) −16.3607 + 7.62910i −0.594246 + 0.277101i
\(759\) −10.6564 2.69745i −0.386803 0.0979113i
\(760\) −7.14040 6.63436i −0.259009 0.240654i
\(761\) 2.78671i 0.101018i −0.998724 0.0505091i \(-0.983916\pi\)
0.998724 0.0505091i \(-0.0160844\pi\)
\(762\) −29.5436 + 5.63314i −1.07025 + 0.204067i
\(763\) −0.299046 + 0.427081i −0.0108262 + 0.0154614i
\(764\) −16.9425 14.2164i −0.612957 0.514332i
\(765\) 0.0995077 + 0.100498i 0.00359771 + 0.00363352i
\(766\) 2.86850 16.2681i 0.103643 0.587789i
\(767\) 6.86678 1.83995i 0.247945 0.0664367i
\(768\) 1.51187 + 0.845126i 0.0545550 + 0.0304959i
\(769\) −7.98023 21.9255i −0.287775 0.790654i −0.996377 0.0850462i \(-0.972896\pi\)
0.708602 0.705608i \(-0.249326\pi\)
\(770\) 0.456666 0.0652047i 0.0164571 0.00234981i
\(771\) 11.1366 + 39.3688i 0.401076 + 1.41783i
\(772\) 5.22551 + 19.5019i 0.188070 + 0.701887i
\(773\) −7.83181