Properties

Label 570.2.bi.a.23.18
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 23.18
Character \(\chi\) \(=\) 570.23
Dual form 570.2.bi.a.347.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.422618 - 0.906308i) q^{2} +(1.61922 + 0.614925i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(1.05411 + 1.97202i) q^{5} +(-0.126999 - 1.72739i) q^{6} +(-0.0450943 - 0.168294i) q^{7} +(0.965926 + 0.258819i) q^{8} +(2.24373 + 1.99140i) q^{9} +O(q^{10})\) \(q+(-0.422618 - 0.906308i) q^{2} +(1.61922 + 0.614925i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(1.05411 + 1.97202i) q^{5} +(-0.126999 - 1.72739i) q^{6} +(-0.0450943 - 0.168294i) q^{7} +(0.965926 + 0.258819i) q^{8} +(2.24373 + 1.99140i) q^{9} +(1.34177 - 1.78876i) q^{10} +(1.02542 - 0.592026i) q^{11} +(-1.51187 + 0.845126i) q^{12} +(-0.862888 + 0.604200i) q^{13} +(-0.133469 + 0.111994i) q^{14} +(0.494189 + 3.84132i) q^{15} +(-0.173648 - 0.984808i) q^{16} +(-0.00890995 - 0.0191074i) q^{17} +(0.856576 - 2.87511i) q^{18} +(-3.61463 + 2.43607i) q^{19} +(-2.18822 - 0.460094i) q^{20} +(0.0304709 - 0.300235i) q^{21} +(-0.969919 - 0.679144i) q^{22} +(5.33961 - 0.467155i) q^{23} +(1.40489 + 1.01306i) q^{24} +(-2.77771 + 4.15745i) q^{25} +(0.912264 + 0.526696i) q^{26} +(2.40853 + 4.60423i) q^{27} +(0.157907 + 0.0736333i) q^{28} +(6.37018 - 2.31856i) q^{29} +(3.27257 - 2.07130i) q^{30} +(-2.85262 + 4.94088i) q^{31} +(-0.819152 + 0.573576i) q^{32} +(2.02443 - 0.328063i) q^{33} +(-0.0135517 + 0.0161503i) q^{34} +(0.284345 - 0.266328i) q^{35} +(-2.96774 + 0.438754i) 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} +(-0.284983 + 0.0992687i) q^{42} +(-8.71430 - 0.762403i) q^{43} +(-0.205609 + 1.16606i) q^{44} +(-1.56193 + 6.52383i) q^{45} +(-2.68000 - 4.64190i) q^{46} +(-3.72060 - 1.73495i) q^{47} +(0.324409 - 1.70140i) q^{48} +(6.03589 - 3.48482i) q^{49} +(4.94183 + 0.760444i) q^{50} +(-0.00267749 - 0.0364181i) q^{51} +(0.0918091 - 1.04938i) q^{52} +(-0.422288 + 0.0369454i) q^{53} +(3.15496 - 4.12871i) q^{54} +(2.24839 + 1.39808i) q^{55} -0.174231i q^{56} +(-7.35088 + 1.72180i) q^{57} +(-4.79348 - 4.79348i) q^{58} +(6.34170 + 2.30819i) q^{59} +(-3.26028 - 2.09058i) q^{60} +(-3.04574 - 2.55568i) q^{61} +(5.68353 + 0.497245i) q^{62} +(0.233961 - 0.467408i) q^{63} +(0.866025 + 0.500000i) q^{64} +(-2.10107 - 1.06474i) q^{65} +(-1.15289 - 1.69611i) q^{66} +(6.76170 - 14.5005i) q^{67} +(0.0203644 + 0.00545661i) q^{68} +(8.93326 + 2.52704i) q^{69} +(-0.361544 - 0.145149i) q^{70} +(-3.95549 - 4.71397i) q^{71} +(1.65187 + 2.50426i) q^{72} +(3.74724 - 5.35161i) q^{73} +(-3.04490 - 1.10825i) q^{74} +(-7.05423 + 5.02373i) q^{75} +(0.457302 - 4.33484i) q^{76} +(-0.145875 - 0.145875i) q^{77} +(1.15328 + 1.41381i) q^{78} +(-10.5286 + 1.85648i) q^{79} +(1.75901 - 1.38053i) q^{80} +(1.06868 + 8.93633i) q^{81} +(-0.809732 - 1.15642i) q^{82} +(-1.55242 - 5.79372i) q^{83} +(0.210407 + 0.216329i) q^{84} +(0.0282881 - 0.0377119i) q^{85} +(2.99185 + 8.22004i) q^{86} +(11.7405 + 0.162939i) q^{87} +(1.14371 - 0.306455i) q^{88} +(0.687430 - 3.89861i) q^{89} +(6.57270 - 1.34150i) q^{90} +(0.140595 + 0.117973i) q^{91} +(-3.07437 + 4.39066i) q^{92} +(-7.65729 + 6.24622i) 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} +(3.47973 + 0.713668i) 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
\(3\) 1.61922 + 0.614925i 0.934856 + 0.355027i
\(4\) −0.642788 + 0.766044i −0.321394 + 0.383022i
\(5\) 1.05411 + 1.97202i 0.471412 + 0.881913i
\(6\) −0.126999 1.72739i −0.0518472 0.705203i
\(7\) −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
\(9\) 2.24373 + 1.99140i 0.747911 + 0.663799i
\(10\) 1.34177 1.78876i 0.424305 0.565655i
\(11\) 1.02542 0.592026i 0.309176 0.178503i −0.337382 0.941368i \(-0.609541\pi\)
0.646557 + 0.762865i \(0.276208\pi\)
\(12\) −1.51187 + 0.845126i −0.436440 + 0.243967i
\(13\) −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
\(15\) 0.494189 + 3.84132i 0.127599 + 0.991826i
\(16\) −0.173648 0.984808i −0.0434120 0.246202i
\(17\) −0.00890995 0.0191074i −0.00216098 0.00463424i 0.905224 0.424934i \(-0.139703\pi\)
−0.907385 + 0.420300i \(0.861925\pi\)
\(18\) 0.856576 2.87511i 0.201897 0.677671i
\(19\) −3.61463 + 2.43607i −0.829253 + 0.558873i
\(20\) −2.18822 0.460094i −0.489301 0.102880i
\(21\) 0.0304709 0.300235i 0.00664930 0.0655166i
\(22\) −0.969919 0.679144i −0.206787 0.144794i
\(23\) 5.33961 0.467155i 1.11339 0.0974086i 0.484416 0.874838i \(-0.339032\pi\)
0.628970 + 0.777429i \(0.283477\pi\)
\(24\) 1.40489 + 1.01306i 0.286772 + 0.206789i
\(25\) −2.77771 + 4.15745i −0.555541 + 0.831489i
\(26\) 0.912264 + 0.526696i 0.178910 + 0.103294i
\(27\) 2.40853 + 4.60423i 0.463522 + 0.886085i
\(28\) 0.157907 + 0.0736333i 0.0298416 + 0.0139154i
\(29\) 6.37018 2.31856i 1.18291 0.430545i 0.325683 0.945479i \(-0.394406\pi\)
0.857230 + 0.514934i \(0.172184\pi\)
\(30\) 3.27257 2.07130i 0.597487 0.378166i
\(31\) −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
\(33\) 2.02443 0.328063i 0.352408 0.0571084i
\(34\) −0.0135517 + 0.0161503i −0.00232410 + 0.00276975i
\(35\) 0.284345 0.266328i 0.0480631 0.0450176i
\(36\) −2.96774 + 0.438754i −0.494624 + 0.0731257i
\(37\) 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 −0.0640275 0.997948i \(-0.520395\pi\)
0.281152 + 0.959663i \(0.409283\pi\)
\(42\) −0.284983 + 0.0992687i −0.0439738 + 0.0153175i
\(43\) −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
\(45\) −1.56193 + 6.52383i −0.232839 + 0.972515i
\(46\) −2.68000 4.64190i −0.395145 0.684411i
\(47\) −3.72060 1.73495i −0.542706 0.253068i 0.131878 0.991266i \(-0.457899\pi\)
−0.674584 + 0.738198i \(0.735677\pi\)
\(48\) 0.324409 1.70140i 0.0468244 0.245576i
\(49\) 6.03589 3.48482i 0.862270 0.497832i
\(50\) 4.94183 + 0.760444i 0.698881 + 0.107543i
\(51\) −0.00267749 0.0364181i −0.000374924 0.00509955i
\(52\) 0.0918091 1.04938i 0.0127316 0.145523i
\(53\) −0.422288 + 0.0369454i −0.0580057 + 0.00507484i −0.116122 0.993235i \(-0.537046\pi\)
0.0581159 + 0.998310i \(0.481491\pi\)
\(54\) 3.15496 4.12871i 0.429336 0.561846i
\(55\) 2.24839 + 1.39808i 0.303173 + 0.188518i
\(56\) 0.174231i 0.0232826i
\(57\) −7.35088 + 1.72180i −0.973648 + 0.228058i
\(58\) −4.79348 4.79348i −0.629415 0.629415i
\(59\) 6.34170 + 2.30819i 0.825619 + 0.300501i 0.720060 0.693912i \(-0.244114\pi\)
0.105559 + 0.994413i \(0.466337\pi\)
\(60\) −3.26028 2.09058i −0.420901 0.269893i
\(61\) −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
\(63\) 0.233961 0.467408i 0.0294763 0.0588879i
\(64\) 0.866025 + 0.500000i 0.108253 + 0.0625000i
\(65\) −2.10107 1.06474i −0.260606 0.132064i
\(66\) −1.15289 1.69611i −0.141911 0.208777i
\(67\) 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
\(69\) 8.93326 + 2.52704i 1.07544 + 0.304219i
\(70\) −0.361544 0.145149i −0.0432128 0.0173487i
\(71\) −3.95549 4.71397i −0.469430 0.559445i 0.478432 0.878124i \(-0.341205\pi\)
−0.947863 + 0.318679i \(0.896761\pi\)
\(72\) 1.65187 + 2.50426i 0.194675 + 0.295130i
\(73\) 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
\(75\) −7.05423 + 5.02373i −0.814552 + 0.580090i
\(76\) 0.457302 4.33484i 0.0524561 0.497241i
\(77\) −0.145875 0.145875i −0.0166240 0.0166240i
\(78\) 1.15328 + 1.41381i 0.130583 + 0.160082i
\(79\) −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
\(81\) 1.06868 + 8.93633i 0.118742 + 0.992925i
\(82\) −0.809732 1.15642i −0.0894199 0.127705i
\(83\) −1.55242 5.79372i −0.170400 0.635943i −0.997289 0.0735780i \(-0.976558\pi\)
0.826889 0.562365i \(-0.190108\pi\)
\(84\) 0.210407 + 0.216329i 0.0229573 + 0.0236035i
\(85\) 0.0282881 0.0377119i 0.00306828 0.00409043i
\(86\) 2.99185 + 8.22004i 0.322620 + 0.886390i
\(87\) 11.7405 + 0.162939i 1.25871 + 0.0174689i
\(88\) 1.14371 0.306455i 0.121920 0.0326682i
\(89\) 0.687430 3.89861i 0.0728674 0.413252i −0.926454 0.376409i \(-0.877159\pi\)
0.999321 0.0368429i \(-0.0117301\pi\)
\(90\) 6.57270 1.34150i 0.692823 0.141407i
\(91\) 0.140595 + 0.117973i 0.0147383 + 0.0123669i
\(92\) −3.07437 + 4.39066i −0.320526 + 0.457758i
\(93\) −7.65729 + 6.24622i −0.794024 + 0.647703i
\(94\) 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
\(99\) 3.47973 + 0.713668i 0.349726 + 0.0717263i
\(100\) −1.39931 4.80020i −0.139931 0.480020i
\(101\) −12.6283 2.22671i −1.25656 0.221566i −0.494562 0.869142i \(-0.664672\pi\)
−0.762001 + 0.647576i \(0.775783\pi\)
\(102\) −0.0318744 + 0.0178176i −0.00315604 + 0.00176420i
\(103\) −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
\(105\) 0.624188 0.256391i 0.0609145 0.0250212i
\(106\) 0.211951 + 0.367109i 0.0205865 + 0.0356568i
\(107\) 15.1590 4.06183i 1.46547 0.392672i 0.564096 0.825709i \(-0.309225\pi\)
0.901376 + 0.433037i \(0.142558\pi\)
\(108\) −5.07522 1.11450i −0.488364 0.107243i
\(109\) −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
\(111\) 5.11898 2.30109i 0.485872 0.218409i
\(112\) −0.157907 + 0.0736333i −0.0149208 + 0.00695769i
\(113\) −2.46000 + 2.46000i −0.231418 + 0.231418i −0.813284 0.581867i \(-0.802323\pi\)
0.581867 + 0.813284i \(0.302323\pi\)
\(114\) 4.66710 + 5.93449i 0.437114 + 0.555816i
\(115\) 6.54977 + 10.0374i 0.610770 + 0.935990i
\(116\) −2.31856 + 6.37018i −0.215273 + 0.591457i
\(117\) −3.13929 0.362687i −0.290228 0.0335304i
\(118\) −0.588188 6.72301i −0.0541470 0.618904i
\(119\) −0.00281389 + 0.00236113i −0.000257949 + 0.000216445i
\(120\) −0.516858 + 3.83834i −0.0471824 + 0.350391i
\(121\) −4.79901 + 8.31213i −0.436274 + 0.755648i
\(122\) −1.02905 + 3.84046i −0.0931657 + 0.347699i
\(123\) 2.40191 + 0.457976i 0.216573 + 0.0412943i
\(124\) −1.95131 5.36117i −0.175233 0.481448i
\(125\) −11.1266 1.09528i −0.995190 0.0979649i
\(126\) −0.522492 0.0145055i −0.0465473 0.00129225i
\(127\) −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
\(129\) −13.6415 6.59314i −1.20107 0.580494i
\(130\) −0.0770271 + 2.35419i −0.00675573 + 0.206477i
\(131\) −3.62538 + 9.96065i −0.316751 + 0.870266i 0.674500 + 0.738275i \(0.264359\pi\)
−0.991251 + 0.131991i \(0.957863\pi\)
\(132\) −1.04997 + 1.76168i −0.0913879 + 0.153334i
\(133\) 0.572976 + 0.498469i 0.0496834 + 0.0432228i
\(134\) −15.9996 −1.38215
\(135\) −6.54077 + 9.60304i −0.562940 + 0.826498i
\(136\) −0.00366098 0.0207624i −0.000313926 0.00178036i
\(137\) −0.254507 2.90903i −0.0217440 0.248535i −0.999286 0.0377927i \(-0.987967\pi\)
0.977542 0.210743i \(-0.0675882\pi\)
\(138\) −1.48509 9.16425i −0.126419 0.780113i
\(139\) −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
\(141\) −4.95760 5.09715i −0.417506 0.429257i
\(142\) −2.60065 + 5.57710i −0.218241 + 0.468020i
\(143\) −0.527119 + 1.13041i −0.0440799 + 0.0945297i
\(144\) 1.57152 2.55545i 0.130960 0.212954i
\(145\) 11.2871 + 10.1181i 0.937343 + 0.840262i
\(146\) −6.43385 1.13446i −0.532470 0.0938888i
\(147\) 11.9163 1.93106i 0.982842 0.159271i
\(148\) 0.282412 + 3.22799i 0.0232142 + 0.265339i
\(149\) 2.63897 + 14.9664i 0.216193 + 1.22609i 0.878824 + 0.477146i \(0.158329\pi\)
−0.662631 + 0.748946i \(0.730560\pi\)
\(150\) 7.53429 + 4.27018i 0.615172 + 0.348659i
\(151\) −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
\(153\) 0.0180590 0.0606152i 0.00145998 0.00490045i
\(154\) −0.0705583 + 0.193857i −0.00568575 + 0.0156215i
\(155\) −12.7505 0.417184i −1.02414 0.0335091i
\(156\) 0.793951 1.64272i 0.0635670 0.131523i
\(157\) −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
\(159\) −0.706495 0.199853i −0.0560287 0.0158494i
\(160\) −1.99458 1.01077i −0.157685 0.0799084i
\(161\) −0.319406 0.877560i −0.0251727 0.0691614i
\(162\) 7.64742 4.74521i 0.600838 0.372819i
\(163\) 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
\(165\) 2.78092 + 3.64640i 0.216494 + 0.283872i
\(166\) −4.59481 + 3.85550i −0.356626 + 0.299245i
\(167\) −1.60190 18.3098i −0.123959 1.41685i −0.762362 0.647151i \(-0.775960\pi\)
0.638403 0.769702i \(-0.279595\pi\)
\(168\) 0.107139 0.282118i 0.00826597 0.0217659i
\(169\) −4.06674 + 11.1733i −0.312827 + 0.859484i
\(170\) −0.0461337 0.00970003i −0.00353829 0.000743958i
\(171\) −12.9615 1.73227i −0.991187 0.132470i
\(172\) 6.18548 6.18548i 0.471638 0.471638i
\(173\) −2.95433 + 1.37763i −0.224614 + 0.104739i −0.531668 0.846953i \(-0.678434\pi\)
0.307054 + 0.951692i \(0.400657\pi\)
\(174\) −4.81406 10.7093i −0.364953 0.811872i
\(175\) 0.824933 + 0.279995i 0.0623591 + 0.0211656i
\(176\) −0.761094 0.907037i −0.0573696 0.0683705i
\(177\) 8.84923 + 7.63713i 0.665149 + 0.574042i
\(178\) −3.82386 + 1.02460i −0.286610 + 0.0767970i
\(179\) 5.22165 + 9.04417i 0.390285 + 0.675993i 0.992487 0.122351i \(-0.0390433\pi\)
−0.602202 + 0.798343i \(0.705710\pi\)
\(180\) −3.99356 5.38994i −0.297662 0.401743i
\(181\) 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
\(183\) −3.36017 6.01111i −0.248391 0.444354i
\(184\) 5.27858 + 0.930756i 0.389142 + 0.0686162i
\(185\) 6.93362 + 2.10316i 0.509770 + 0.154627i
\(186\) 8.89711 + 4.30010i 0.652368 + 0.315298i
\(187\) −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 \(-0.704748\pi\)
0.599788 0.800159i \(-0.295252\pi\)
\(192\) 1.09482 + 1.34215i 0.0790119 + 0.0968613i
\(193\) 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
\(195\) −2.74736 3.01604i −0.196743 0.215983i
\(196\) −1.21027 + 6.86376i −0.0864476 + 0.490268i
\(197\) −13.6188 + 3.64914i −0.970298 + 0.259990i −0.708953 0.705255i \(-0.750832\pi\)
−0.261344 + 0.965246i \(0.584166\pi\)
\(198\) −0.823793 3.45531i −0.0585444 0.245558i
\(199\) 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
\(201\) 19.8654 19.3216i 1.40120 1.36284i
\(202\) 3.31887 + 12.3862i 0.233515 + 0.871488i
\(203\) −0.677459 0.967512i −0.0475483 0.0679060i
\(204\) 0.0296189 + 0.0213580i 0.00207374 + 0.00149536i
\(205\) 1.94893 + 2.48324i 0.136119 + 0.173437i
\(206\) 0.822962 0.145110i 0.0573385 0.0101103i
\(207\) 12.9110 + 9.58511i 0.897373 + 0.666211i
\(208\) 0.744860 + 0.744860i 0.0516468 + 0.0516468i
\(209\) −2.26430 + 4.63795i −0.156625 + 0.320814i
\(210\) −0.496163 0.457351i −0.0342385 0.0315602i
\(211\) 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
\(213\) −3.50606 10.0653i −0.240231 0.689662i
\(214\) −10.0877 12.0221i −0.689583 0.821813i
\(215\) −7.68236 17.9884i −0.523932 1.22680i
\(216\) 1.13480 + 5.07072i 0.0772134 + 0.345019i
\(217\) 0.960160 + 0.257274i 0.0651799 + 0.0174649i
\(218\) −1.26464 + 2.71204i −0.0856526 + 0.183682i
\(219\) 9.35843 6.36115i 0.632384 0.429847i
\(220\) −2.51623 + 0.823696i −0.169644 + 0.0555335i
\(221\) 0.0192330 + 0.0111042i 0.00129375 + 0.000746948i
\(222\) −4.24887 3.66689i −0.285165 0.246106i
\(223\) −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
\(225\) −14.5116 + 3.79668i −0.967437 + 0.253112i
\(226\) 3.26916 + 1.18988i 0.217461 + 0.0791495i
\(227\) 0.447561 + 0.447561i 0.0297057 + 0.0297057i 0.721804 0.692098i \(-0.243313\pi\)
−0.692098 + 0.721804i \(0.743313\pi\)
\(228\) 3.40608 6.73785i 0.225573 0.446225i
\(229\) 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
\(231\) −0.146501 0.325906i −0.00963909 0.0214431i
\(232\) 6.75321 0.590829i 0.443370 0.0387898i
\(233\) 0.0504192 0.576294i 0.00330307 0.0377543i −0.994364 0.106017i \(-0.966190\pi\)
0.997667 + 0.0682629i \(0.0217457\pi\)
\(234\) 0.998016 + 2.99844i 0.0652424 + 0.196014i
\(235\) −0.500580 9.16592i −0.0326543 0.597918i
\(236\) −5.84454 + 3.37435i −0.380447 + 0.219651i
\(237\) −18.1897 3.46827i −1.18155 0.225289i
\(238\) 0.00332911 + 0.00155239i 0.000215794 + 0.000100627i
\(239\) 4.53038 + 7.84685i 0.293046 + 0.507570i 0.974528 0.224264i \(-0.0719978\pi\)
−0.681483 + 0.731834i \(0.738664\pi\)
\(240\) 3.69715 1.15372i 0.238650 0.0744723i
\(241\) 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
\(243\) −3.76475 + 15.1270i −0.241509 + 0.970399i
\(244\) 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
\(249\) 1.04900 10.3359i 0.0664774 0.655012i
\(250\) 3.70963 + 10.5470i 0.234617 + 0.667049i
\(251\) 5.39472 6.42918i 0.340512 0.405806i −0.568428 0.822733i \(-0.692448\pi\)
0.908940 + 0.416926i \(0.136893\pi\)
\(252\) 0.207668 + 0.479669i 0.0130819 + 0.0302163i
\(253\) 5.19877 3.64022i 0.326844 0.228859i
\(254\) −8.68215 + 15.0379i −0.544767 + 0.943564i
\(255\) 0.0689947 0.0436687i 0.00432061 0.00273464i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 21.4084 + 9.98289i 1.33542 + 0.622716i 0.953476 0.301470i \(-0.0974775\pi\)
0.381942 + 0.924186i \(0.375255\pi\)
\(258\) −0.210255 + 15.1498i −0.0130899 + 0.943186i
\(259\) −0.488927 0.282282i −0.0303805 0.0175402i
\(260\) 2.16618 0.925115i 0.134341 0.0573732i
\(261\) 18.9102 + 7.48334i 1.17051 + 0.463207i
\(262\) 10.5596 0.923842i 0.652372 0.0570752i
\(263\) 8.09780 + 5.67014i 0.499332 + 0.349636i 0.795952 0.605360i \(-0.206971\pi\)
−0.296620 + 0.954995i \(0.595860\pi\)
\(264\) 2.04036 + 0.207076i 0.125575 + 0.0127447i
\(265\) −0.517995 0.793815i −0.0318202 0.0487637i
\(266\) 0.209616 0.729955i 0.0128524 0.0447564i
\(267\) 3.51045 5.88998i 0.214836 0.360461i
\(268\) 6.76170 + 14.5005i 0.413037 + 0.885760i
\(269\) 3.04002 + 17.2408i 0.185354 + 1.05119i 0.925500 + 0.378747i \(0.123645\pi\)
−0.740147 + 0.672445i \(0.765244\pi\)
\(270\) 11.4676 + 1.86953i 0.697893 + 0.113776i
\(271\) −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
\(273\) 0.155109 + 0.277480i 0.00938763 + 0.0167938i
\(274\) −2.52892 + 1.46007i −0.152778 + 0.0882062i
\(275\) −0.386997 + 5.90760i −0.0233368 + 0.356242i
\(276\) −7.67801 + 5.21893i −0.462162 + 0.314142i
\(277\) 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
\(279\) −16.2398 + 5.40533i −0.972250 + 0.323608i
\(280\) 0.343587 0.183659i 0.0205332 0.0109757i
\(281\) 14.8251 17.6678i 0.884390 1.05397i −0.113780 0.993506i \(-0.536296\pi\)
0.998170 0.0604687i \(-0.0192595\pi\)
\(282\) −2.52441 + 6.64726i −0.150326 + 0.395839i
\(283\) −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
\(285\) −11.1441 12.6811i −0.660117 0.751163i
\(286\) 1.24727 0.0737526
\(287\) −0.103950 0.222921i −0.00613597 0.0131586i
\(288\) −2.98018 0.344304i −0.175609 0.0202883i
\(289\) 10.9271 13.0224i 0.642771 0.766024i
\(290\) 4.39997 14.5057i 0.258375 0.851803i
\(291\) 20.4084 1.50045i 1.19636 0.0879577i
\(292\) 1.69089 + 6.31050i 0.0989520 + 0.369294i
\(293\) 28.0801 + 7.52404i 1.64046 + 0.439559i 0.956919 0.290356i \(-0.0937736\pi\)
0.683538 + 0.729915i \(0.260440\pi\)
\(294\) −6.78619 9.98375i −0.395779 0.582264i
\(295\) 2.13306 + 14.9390i 0.124191 + 0.869784i
\(296\) 2.80620 1.62016i 0.163107 0.0941698i
\(297\) 5.19558 + 3.29536i 0.301478 + 0.191216i
\(298\) 12.4488 8.71677i 0.721142 0.504949i
\(299\) −4.32523 + 3.62930i −0.250134 + 0.209888i
\(300\) 0.685973 8.63304i 0.0396047 0.498429i
\(301\) 0.264658 + 1.50095i 0.0152546 + 0.0865132i
\(302\) 7.34157 + 15.7440i 0.422460 + 0.905968i
\(303\) −19.0787 11.3710i −1.09604 0.653246i
\(304\) 3.02674 + 3.13670i 0.173595 + 0.179902i
\(305\) 1.82930 8.70023i 0.104746 0.498174i
\(306\) −0.0625681 + 0.00925014i −0.00357678 + 0.000528795i
\(307\) −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
\(309\) −0.846568 + 1.17401i −0.0481596 + 0.0667869i
\(310\) 5.01049 + 11.7322i 0.284577 + 0.666343i
\(311\) −18.4798 10.6693i −1.04790 0.605003i −0.125836 0.992051i \(-0.540161\pi\)
−0.922060 + 0.387048i \(0.873495\pi\)
\(312\) −1.82435 0.0253191i −0.103284 0.00143341i
\(313\) 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
\(315\) 1.16836 0.0313242i 0.0658295 0.00176492i
\(316\) 5.34552 9.25872i 0.300709 0.520844i
\(317\) 15.2430 10.6733i 0.856133 0.599471i −0.0609615 0.998140i \(-0.519417\pi\)
0.917095 + 0.398669i \(0.130528\pi\)
\(318\) 0.117449 + 0.724763i 0.00658623 + 0.0406427i
\(319\) 5.15946 6.14881i 0.288874 0.344267i
\(320\) −0.0731230 + 2.23487i −0.00408770 + 0.124933i
\(321\) 27.0434 + 2.74464i 1.50941 + 0.153191i
\(322\) −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
\(327\) −1.70493 4.89455i −0.0942829 0.270669i
\(328\) 1.40635 + 0.123040i 0.0776528 + 0.00679374i
\(329\) −0.124203 + 0.704393i −0.00684756 + 0.0388344i
\(330\) 2.12949 4.06140i 0.117225 0.223573i
\(331\) −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
\(333\) 9.70375 0.578166i 0.531762 0.0316833i
\(334\) −15.9173 + 9.18986i −0.870956 + 0.502847i
\(335\) 35.7229 1.95094i 1.95175 0.106591i
\(336\) −0.300965 + 0.0221272i −0.0164190 + 0.00120714i
\(337\) −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
\(339\) −5.49600 + 2.47056i −0.298502 + 0.134183i
\(340\) 0.0107057 + 0.0459107i 0.000580600 + 0.00248986i
\(341\) 6.75530i 0.365820i
\(342\) 3.90777 + 12.4792i 0.211308 + 0.674795i
\(343\) −1.72106 1.72106i −0.0929285 0.0929285i
\(344\) −8.22004 2.99185i −0.443195 0.161310i
\(345\) 4.43327 + 20.2803i 0.238679 + 1.09186i
\(346\) 2.49711 + 2.09532i 0.134245 + 0.112645i
\(347\) −10.1664 0.889446i −0.545762 0.0477479i −0.189059 0.981966i \(-0.560544\pi\)
−0.356703 + 0.934218i \(0.616099\pi\)
\(348\) −7.67144 + 8.88897i −0.411232 + 0.476499i
\(349\) 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
\(351\) −4.86017 2.51770i −0.259417 0.134385i
\(352\) −0.500402 + 1.07312i −0.0266715 + 0.0571973i
\(353\) −25.9287 6.94757i −1.38004 0.369782i −0.508907 0.860821i \(-0.669950\pi\)
−0.871137 + 0.491040i \(0.836617\pi\)
\(354\) 3.18175 11.2477i 0.169108 0.597809i
\(355\) 5.12651 12.7693i 0.272087 0.677726i
\(356\) 2.54464 + 3.03258i 0.134865 + 0.160726i
\(357\) −0.00600822 + 0.00209286i −0.000317988 + 0.000110766i
\(358\) 5.99003 8.55465i 0.316583 0.452127i
\(359\) 11.3260 + 4.12234i 0.597765 + 0.217569i 0.623141 0.782109i \(-0.285856\pi\)
−0.0253762 + 0.999678i \(0.508078\pi\)
\(360\) −3.19720 + 5.89728i −0.168507 + 0.310814i
\(361\) 7.13112 17.6110i 0.375322 0.926894i
\(362\) −2.83122 2.83122i −0.148806 0.148806i
\(363\) −12.8820 + 10.5081i −0.676129 + 0.551533i
\(364\) −0.180745 + 0.0318703i −0.00947363 + 0.00167046i
\(365\) 14.5035 + 1.74843i 0.759146 + 0.0915172i
\(366\) −4.02785 + 5.58575i −0.210539 + 0.291972i
\(367\) 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
\(369\) 3.60759 + 2.21856i 0.187804 + 0.115493i
\(370\) −1.02417 7.17282i −0.0532438 0.372897i
\(371\) 0.0252605 + 0.0694027i 0.00131146 + 0.00360321i
\(372\) 0.137130 9.88082i 0.00710986 0.512297i
\(373\) −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
\(375\) −17.3428 8.61550i −0.895579 0.444903i
\(376\) −3.14479 2.63879i −0.162180 0.136085i
\(377\) −4.09588 + 5.84952i −0.210948 + 0.301266i
\(378\) −0.837109 0.344781i −0.0430562 0.0177336i
\(379\) 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 0.865707 0.500551i \(-0.166869\pi\)
−0.174275 + 0.984697i \(0.555758\pi\)
\(384\) 0.753710 1.55946i 0.0384626 0.0795810i
\(385\) 0.133900 0.441437i 0.00682418 0.0224977i
\(386\) −19.8831 3.50592i −1.01202 0.178447i
\(387\) −18.0343 19.0643i −0.916736 0.969091i
\(388\) −3.05784 + 11.4120i −0.155238 + 0.579358i
\(389\) 13.6632 4.97299i 0.692751 0.252141i 0.0284383 0.999596i \(-0.490947\pi\)
0.664313 + 0.747455i \(0.268724\pi\)
\(390\) −1.57238 + 3.76459i −0.0796205 + 0.190627i
\(391\) −0.0565018 0.0978640i −0.00285742 0.00494919i
\(392\) 6.73216 1.80388i 0.340025 0.0911095i
\(393\) −11.9953 + 13.8991i −0.605085 + 0.701118i
\(394\) 9.06279 + 10.8006i 0.456577 + 0.544127i
\(395\) −14.7593 18.8057i −0.742623 0.946217i
\(396\) −2.78343 + 2.20689i −0.139872 + 0.110900i
\(397\) −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
\(399\) 0.621252 + 1.15947i 0.0311015 + 0.0580460i
\(400\) 4.57663 + 2.01357i 0.228831 + 0.100679i
\(401\) 3.74108 10.2785i 0.186821 0.513285i −0.810557 0.585660i \(-0.800835\pi\)
0.997378 + 0.0723745i \(0.0230577\pi\)
\(402\) −25.9068 9.83853i −1.29211 0.490701i
\(403\) −0.523793 5.98698i −0.0260920 0.298233i
\(404\) 9.82307 8.24254i 0.488716 0.410082i
\(405\) −16.4961 + 11.5273i −0.819697 + 0.572797i
\(406\) −0.590557 + 1.02287i −0.0293088 + 0.0507644i
\(407\) 0.993013 3.70597i 0.0492218 0.183698i
\(408\) 0.00683943 0.0358701i 0.000338602 0.00177584i
\(409\) 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
\(411\) 1.37673 4.86686i 0.0679093 0.240064i
\(412\) −0.479313 0.684530i −0.0236141 0.0337244i
\(413\) 0.102481 1.17136i 0.00504274 0.0576388i
\(414\) 3.23066 15.7521i 0.158778 0.774176i
\(415\) 9.78889 9.16862i 0.480518 0.450070i
\(416\) 0.360281 0.989864i 0.0176642 0.0485321i
\(417\) −20.9402 12.4804i −1.02545 0.611170i
\(418\) 5.16034 + 0.0920663i 0.252401 + 0.00450311i
\(419\) −36.3736 −1.77696 −0.888482 0.458911i \(-0.848240\pi\)
−0.888482 + 0.458911i \(0.848240\pi\)
\(420\) −0.204813 + 0.642961i −0.00999387 + 0.0313733i
\(421\) 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
\(423\) −4.89307 11.3019i −0.237909 0.549520i
\(424\) −0.417461 0.0736096i −0.0202737 0.00357480i
\(425\) 0.104187 + 0.0160322i 0.00505383 + 0.000777678i
\(426\) −7.64051 + 7.43134i −0.370184 + 0.360050i
\(427\) −0.292761 + 0.627829i −0.0141677 + 0.0303828i
\(428\) −6.63245 + 14.2233i −0.320592 + 0.687511i
\(429\) −1.54864 + 1.50624i −0.0747690 + 0.0727221i
\(430\) −13.0563 + 14.5648i −0.629632 + 0.702378i
\(431\) −33.4789 5.90323i −1.61262 0.284349i −0.706610 0.707603i \(-0.749776\pi\)
−0.906011 + 0.423255i \(0.860888\pi\)
\(432\) 4.11605 3.17146i 0.198033 0.152587i
\(433\) 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
\(435\) 12.0544 + 23.3241i 0.577964 + 1.11831i
\(436\) 2.99240 0.143310
\(437\) −18.1627 + 14.6963i −0.868840 + 0.703018i
\(438\) −9.72020 5.79328i −0.464449 0.276814i
\(439\) 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
\(441\) 20.4826 + 4.20084i 0.975361 + 0.200040i
\(442\) 0.00193559 0.0221239i 9.20665e−5 0.00105232i
\(443\) 3.07762 + 4.39530i 0.146222 + 0.208827i 0.885581 0.464484i \(-0.153760\pi\)
−0.739359 + 0.673311i \(0.764871\pi\)
\(444\) −1.52768 + 5.40048i −0.0725007 + 0.256295i
\(445\) 8.41275 2.75394i 0.398803 0.130549i
\(446\) 7.08774 + 19.4734i 0.335614 + 0.922092i
\(447\) −4.93012 + 25.8566i −0.233187 + 1.22297i
\(448\) 0.0450943 0.168294i 0.00213051 0.00795116i
\(449\) 6.67699 11.5649i 0.315107 0.545781i −0.664354 0.747418i \(-0.731293\pi\)
0.979460 + 0.201638i \(0.0646264\pi\)
\(450\) 9.57381 + 11.5474i 0.451314 + 0.544349i
\(451\) 1.28049 1.07445i 0.0602957 0.0505941i
\(452\) −0.303212 3.46573i −0.0142619 0.163014i
\(453\) −28.1285 10.6823i −1.32159 0.501896i
\(454\) 0.216481 0.594776i 0.0101599 0.0279142i
\(455\) −0.0844426 + 0.401612i −0.00395873 + 0.0188279i
\(456\) −7.54604 0.239416i −0.353376 0.0112117i
\(457\) −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
\(459\) 0.0665152 0.0870444i 0.00310467 0.00406288i
\(460\) −11.8992 1.43448i −0.554802 0.0668830i
\(461\) 19.7131 + 23.4932i 0.918132 + 1.09419i 0.995268 + 0.0971666i \(0.0309780\pi\)
−0.0771361 + 0.997021i \(0.524578\pi\)
\(462\) −0.233457 + 0.270509i −0.0108614 + 0.0125852i
\(463\) −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
\(465\) −20.3893 8.51611i −0.945530 0.394925i
\(466\) −0.543608 + 0.197857i −0.0251822 + 0.00916556i
\(467\) 10.5631 39.4221i 0.488803 1.82424i −0.0734859 0.997296i \(-0.523412\pi\)
0.562289 0.826941i \(-0.309921\pi\)
\(468\) 2.29573 2.17171i 0.106120 0.100387i
\(469\) −2.74527 0.484065i −0.126765 0.0223521i
\(470\) −8.09559 + 4.32736i −0.373422 + 0.199606i
\(471\) −5.20737 + 10.7743i −0.239943 + 0.496453i
\(472\) 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
\(477\) −1.02107 0.758047i −0.0467518 0.0347086i
\(478\) 5.19704 7.42214i 0.237707 0.339481i
\(479\) −21.0703 17.6801i −0.962727 0.807824i 0.0186679 0.999826i \(-0.494057\pi\)
−0.981394 + 0.192002i \(0.938502\pi\)
\(480\) −2.60811 2.86317i −0.119043 0.130685i
\(481\) −0.592717 + 3.36147i −0.0270256 + 0.153270i
\(482\) −3.18722 + 0.854012i −0.145174 + 0.0388992i
\(483\) 0.0224466 1.61737i 0.00102135 0.0735930i
\(484\) −3.28272 9.01919i −0.149214 0.409963i
\(485\) 21.1335 + 15.8525i 0.959621 + 0.719823i
\(486\) 15.3008 2.98093i 0.694058 0.135218i
\(487\) −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
\(489\) 13.7837 19.1150i 0.623319 0.864408i
\(490\) 1.86526 15.4726i 0.0842640 0.698980i
\(491\) −22.2954 + 3.93127i −1.00618 + 0.177416i −0.652368 0.757902i \(-0.726224\pi\)
−0.353807 + 0.935318i \(0.615113\pi\)
\(492\) −1.89475 + 1.54559i −0.0854217 + 0.0696804i
\(493\) −0.101060 0.101060i −0.00455150 0.00455150i
\(494\) −4.58056 + 0.318528i −0.206089 + 0.0143312i
\(495\) 2.26065 + 7.61437i 0.101609 + 0.342240i
\(496\) 5.36117 + 1.95131i 0.240724 + 0.0876163i
\(497\) −0.614964 + 0.878260i −0.0275849 + 0.0393954i
\(498\) −9.81085 + 3.41743i −0.439635 + 0.153139i
\(499\) 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
\(501\) 8.66533 30.6326i 0.387138 1.36856i
\(502\) −8.10673 2.17219i −0.361821 0.0969496i
\(503\) −6.35856 + 13.6360i −0.283514 + 0.607998i −0.995559 0.0941355i \(-0.969991\pi\)
0.712045 + 0.702134i \(0.247769\pi\)
\(504\) 0.346963 0.390928i 0.0154550 0.0174133i
\(505\) −8.92050 27.2504i −0.396957 1.21263i
\(506\) −5.49625 3.17326i −0.244338 0.141069i
\(507\) −13.4557 + 15.5912i −0.597588 + 0.692432i
\(508\) 17.2982 + 1.51340i 0.767485 + 0.0671462i
\(509\) −14.7743 12.3971i −0.654859 0.549492i 0.253682 0.967288i \(-0.418358\pi\)
−0.908541 + 0.417796i \(0.862803\pi\)
\(510\) −0.0687357 0.0440752i −0.00304367 0.00195168i
\(511\) −1.06962 0.389312i −0.0473174 0.0172221i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −19.9222 10.7753i −0.879586 0.475739i
\(514\) 23.6215i 1.04190i
\(515\) −1.81977 + 0.424343i −0.0801885 + 0.0186988i
\(516\) 13.8192 6.21203i 0.608358 0.273469i
\(517\) −4.84231 + 0.423647i −0.212965 + 0.0186320i
\(518\) −0.0492050 + 0.562416i −0.00216194 + 0.0247111i
\(519\) −5.63084 + 0.413985i −0.247167 + 0.0181719i
\(520\) −1.75391 1.57225i −0.0769139 0.0689479i
\(521\) −32.8524 + 18.9674i −1.43929 + 0.830976i −0.997800 0.0662899i \(-0.978884\pi\)
−0.441492 + 0.897265i \(0.645550\pi\)
\(522\) −1.20957 20.3010i −0.0529415 0.888551i
\(523\) 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
\(525\) 1.16357 + 0.960645i 0.0507824 + 0.0419260i
\(526\) 1.71661 9.73540i 0.0748479 0.424484i
\(527\) 0.119824 + 0.0104833i 0.00521963 + 0.000456659i
\(528\) −0.674617 1.93671i −0.0293589 0.0842843i
\(529\) 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
\(534\) −6.82172 0.692338i −0.295205 0.0299604i
\(535\) 23.9892 + 25.6121i 1.03714 + 1.10731i
\(536\) 10.2843 12.2564i 0.444215 0.529395i
\(537\) 2.89350 + 17.8554i 0.124864 + 0.770517i
\(538\) 14.3407 10.0415i 0.618273 0.432919i
\(539\) 4.12621 7.14681i 0.177728 0.307835i
\(540\) −3.15202 11.1832i −0.135642 0.481250i
\(541\) 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
\(543\) 6.93438 + 0.0962383i 0.297583 + 0.00412998i
\(544\) 0.0182582 + 0.0105414i 0.000782813 + 0.000451957i
\(545\) 2.49293 6.20949i 0.106785 0.265985i
\(546\) 0.185930 0.257844i 0.00795707 0.0110347i
\(547\) 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
\(549\) −1.74446 11.7996i −0.0744517 0.503593i
\(550\) 5.51765 2.14592i 0.235274 0.0915024i
\(551\) −17.3777 + 23.8989i −0.740315 + 1.01813i
\(552\) 7.97482 + 4.75303i 0.339431 + 0.202302i
\(553\) 0.787217 + 1.68819i 0.0334759 + 0.0717892i
\(554\) −0.515409 2.92303i −0.0218976 0.124188i
\(555\) 9.93375 + 7.66913i 0.421664 + 0.325536i
\(556\) 10.7815 9.04675i 0.457237 0.383668i
\(557\) −11.1925 + 7.83708i −0.474242 + 0.332068i −0.786141 0.618047i \(-0.787924\pi\)
0.311899 + 0.950115i \(0.399035\pi\)
\(558\) 11.7621 + 12.4339i 0.497930 + 0.526367i
\(559\) 7.98011 4.60732i 0.337523 0.194869i
\(560\) −0.311657 0.233778i −0.0131699 0.00987892i
\(561\) −0.0243060 0.0357586i −0.00102620 0.00150973i
\(562\) −22.2778 5.96933i −0.939734 0.251801i
\(563\) 9.50570 + 35.4757i 0.400617 + 1.49512i 0.811998 + 0.583660i \(0.198380\pi\)
−0.411381 + 0.911464i \(0.634953\pi\)
\(564\) 7.09133 0.521361i 0.298599 0.0219533i
\(565\) −7.44428 2.25806i −0.313183 0.0949971i
\(566\) −2.85287 + 3.39992i −0.119915 + 0.142909i
\(567\) 1.45574 0.582830i 0.0611354 0.0244766i
\(568\) −2.60065 5.57710i −0.109121 0.234010i
\(569\) 37.4018 1.56796 0.783982 0.620783i \(-0.213185\pi\)
0.783982 + 0.620783i \(0.213185\pi\)
\(570\) −6.78329 + 15.4592i −0.284121 + 0.647515i
\(571\) 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
\(573\) 13.6002 35.8120i 0.568157 1.49607i
\(574\) −0.158104 + 0.188421i −0.00659914 + 0.00786455i
\(575\) −12.8897 + 23.4968i −0.537537 + 0.979883i
\(576\) 0.947432 + 2.84647i 0.0394763 + 0.118603i
\(577\) −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
\(579\) 28.9211 19.6584i 1.20192 0.816975i
\(580\) −15.0061 + 2.14264i −0.623095 + 0.0889681i
\(581\) −0.905045 + 0.522528i −0.0375476 + 0.0216781i
\(582\) −9.98483 17.8622i −0.413884 0.740411i
\(583\) −0.411150 + 0.287890i −0.0170281 + 0.0119232i
\(584\) 5.00465 4.19940i 0.207094 0.173772i
\(585\) −2.59393 6.57305i −0.107246 0.271762i
\(586\) −5.04807 28.6290i −0.208534 1.18265i
\(587\) 11.5830 + 24.8398i 0.478081 + 1.02525i 0.986443 + 0.164105i \(0.0524736\pi\)
−0.508361 + 0.861144i \(0.669749\pi\)
\(588\) −6.18038 + 10.3697i −0.254875 + 0.427639i
\(589\) −1.72517 24.8087i −0.0710844 1.02222i
\(590\) 12.6379 8.24671i 0.520294 0.339512i
\(591\) −24.2957 2.46578i −0.999392 0.101429i
\(592\) −2.65431 1.85857i −0.109092 0.0763868i
\(593\) −28.5473 + 2.49756i −1.17230 + 0.102563i −0.656620 0.754222i \(-0.728014\pi\)
−0.515675 + 0.856784i \(0.672459\pi\)
\(594\) 0.790859 6.10147i 0.0324493 0.250347i
\(595\) −0.00762234 0.00306014i −0.000312485 0.000125454i
\(596\) −13.1612 7.59862i −0.539103 0.311251i
\(597\) −0.237885 + 17.1407i −0.00973600 + 0.701521i
\(598\) 5.11718 + 2.38618i 0.209257 + 0.0975782i
\(599\) 16.0206 5.83100i 0.654582 0.238248i 0.00668653 0.999978i \(-0.497872\pi\)
0.647895 + 0.761729i \(0.275649\pi\)
\(600\) −8.11410 + 3.02678i −0.331257 + 0.123568i
\(601\) −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
\(603\) 44.0477 19.0701i 1.79376 0.776593i
\(604\) 11.1663 13.3074i 0.454349 0.541472i
\(605\) −21.4503 0.701836i −0.872081 0.0285337i
\(606\) −2.24261 + 22.0968i −0.0910997 + 0.897620i
\(607\) −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
\(612\) 0.0348259 + 0.0527967i 0.00140775 + 0.00213418i
\(613\) 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
\(615\) 1.62874 + 5.21936i 0.0656769 + 0.210465i
\(616\) −0.103149 0.178660i −0.00415601 0.00719842i
\(617\) −28.8047 13.4319i −1.15964 0.540747i −0.255003 0.966940i \(-0.582076\pi\)
−0.904632 + 0.426194i \(0.859854\pi\)
\(618\) 1.42179 + 0.271095i 0.0571926 + 0.0109050i
\(619\) 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
\(621\) 15.0115 + 23.4597i 0.602392 + 0.941404i
\(622\) −1.85979 + 21.2575i −0.0745707 + 0.852348i
\(623\) −0.687113 + 0.0601146i −0.0275286 + 0.00240844i
\(624\) 0.748057 + 1.66412i 0.0299463 + 0.0666183i
\(625\) −9.56870 23.0963i −0.382748 0.923853i
\(626\) 18.3858i 0.734845i
\(627\) −6.51838 + 6.11748i −0.260319 + 0.244309i
\(628\) −4.88539 4.88539i −0.194948 0.194948i
\(629\) −0.0641949 0.0233650i −0.00255962 0.000931624i
\(630\) −0.522159 1.04565i −0.0208033 0.0416599i
\(631\) −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
\(633\) 12.0440 + 10.3943i 0.478707 + 0.413138i
\(634\) −16.1153 9.30415i −0.640018 0.369515i
\(635\) 17.5513 34.6345i 0.696503 1.37443i
\(636\) 0.607222 0.412743i 0.0240779 0.0163663i
\(637\) −3.10276 + 6.65390i −0.122936 + 0.263637i
\(638\) −7.75319 2.07746i −0.306952 0.0822475i
\(639\) 0.512319 18.4538i 0.0202670 0.730023i
\(640\) 2.05639 0.878226i 0.0812858 0.0347149i
\(641\) 23.9834 + 28.5824i 0.947289 + 1.12894i 0.991525 + 0.129914i \(0.0414702\pi\)
−0.0442360 + 0.999021i \(0.514085\pi\)
\(642\) −8.94154 25.6696i −0.352894 1.01310i
\(643\) −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
\(645\) −1.37788 33.8512i −0.0542539 1.33289i
\(646\) 0.00964117 0.0913903i 0.000379327 0.00359570i
\(647\) −9.29410 9.29410i −0.365389 0.365389i 0.500404 0.865792i \(-0.333185\pi\)
−0.865792 + 0.500404i \(0.833185\pi\)
\(648\) −1.28063 + 8.90842i −0.0503078 + 0.349956i
\(649\) 7.86941 1.38759i 0.308901 0.0544676i
\(650\) −4.72371 + 2.32968i −0.185279 + 0.0913776i
\(651\) 1.39650 + 1.00701i 0.0547333 + 0.0394678i
\(652\) 7.80409 + 11.1454i 0.305632 + 0.436487i
\(653\) −5.66296 21.1345i −0.221609 0.827055i −0.983735 0.179627i \(-0.942511\pi\)
0.762126 0.647429i \(-0.224156\pi\)
\(654\) −3.71544 + 3.61372i −0.145285 + 0.141308i
\(655\) −23.4641 + 3.35030i −0.916819 + 0.130907i
\(656\) −0.482838 1.32659i −0.0188517 0.0517945i
\(657\) 19.0650 4.54535i 0.743795 0.177331i
\(658\) 0.690887 0.185123i 0.0269336 0.00721683i
\(659\) −8.35945 + 47.4088i −0.325638 + 1.84679i 0.179515 + 0.983755i \(0.442547\pi\)
−0.505153 + 0.863030i \(0.668564\pi\)
\(660\) −4.58084 0.213553i −0.178309 0.00831253i
\(661\) 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
\(663\) 0.0243142 + 0.0298070i 0.000944285 + 0.00115761i
\(664\) 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
\(669\) −32.3170 15.6192i −1.24945 0.603875i
\(670\) −16.8653 31.5514i −0.651563 1.21894i
\(671\) −4.63620 0.817487i −0.178978 0.0315587i
\(672\) 0.147247 + 0.263415i 0.00568019 + 0.0101615i
\(673\) −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
\(675\) −25.8320 2.77587i −0.994276 0.106843i
\(676\) −5.94518 10.2974i −0.228661 0.396052i
\(677\) 38.5981 10.3423i 1.48345 0.397489i 0.575929 0.817500i \(-0.304641\pi\)
0.907519 + 0.420012i \(0.137974\pi\)
\(678\) 4.56180 + 3.93696i 0.175195 + 0.151198i
\(679\) −1.32316 1.57688i −0.0507782 0.0605151i
\(680\) 0.0370848 0.0291054i 0.00142214 0.00111614i
\(681\) 0.449482 + 0.999916i 0.0172242 + 0.0383169i
\(682\) 6.12238 2.85491i 0.234438 0.109320i
\(683\) 29.7592 29.7592i 1.13870 1.13870i 0.150021 0.988683i \(-0.452066\pi\)
0.988683 0.150021i \(-0.0479341\pi\)
\(684\) 9.65846 8.81556i 0.369300 0.337072i
\(685\) 5.46838 3.56833i 0.208936 0.136339i
\(686\) −0.832459 + 2.28716i −0.0317834 + 0.0873243i
\(687\) −5.95811 + 15.6888i −0.227316 + 0.598567i
\(688\) 0.762403 + 8.71430i 0.0290663 + 0.332230i
\(689\) 0.342065 0.287026i 0.0130316 0.0109348i
\(690\) 16.5066 12.5887i 0.628397 0.479245i
\(691\) −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
\(693\) −0.0368097 0.617801i −0.00139828 0.0234683i
\(694\) 3.49040 + 9.58979i 0.132494 + 0.364024i
\(695\) −9.79086 29.9092i −0.371388 1.13452i
\(696\) 11.2982 + 3.19604i 0.428258 + 0.121146i
\(697\) −0.0170714 0.0243804i −0.000646624 0.000923474i
\(698\) 1.59411 18.2207i 0.0603378 0.689665i
\(699\) 0.436018 0.902142i 0.0164917 0.0341222i
\(700\) −0.744746 + 0.451958i −0.0281487 + 0.0170824i
\(701\) 0.448403 1.23198i 0.0169360 0.0465311i −0.930937 0.365181i \(-0.881007\pi\)
0.947873 + 0.318650i \(0.103229\pi\)
\(702\) −0.227813 + 5.46884i −0.00859827 + 0.206408i
\(703\) −2.70038 + 13.8637i −0.101847 + 0.522879i
\(704\) 1.18405 0.0446256
\(705\) 4.82581 15.1494i 0.181750 0.570561i
\(706\) 4.66130 + 26.4355i 0.175430 + 0.994915i
\(707\) 0.194722 + 2.22568i 0.00732328 + 0.0837054i
\(708\) −11.5386 + 1.86985i −0.433646 + 0.0702731i
\(709\) −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
\(711\) −27.3204 16.8012i −1.02460 0.630095i
\(712\) 1.67304 3.58785i 0.0626999 0.134460i
\(713\) −12.9237 + 27.7150i −0.483997 + 1.03794i
\(714\) 0.00443595 + 0.00456081i 0.000166011 + 0.000170684i
\(715\) −2.78483 + 0.152089i −0.104147 + 0.00568779i
\(716\) −10.2846 1.81346i −0.384355 0.0677722i
\(717\) 2.51044 + 15.4916i 0.0937543 + 0.578544i
\(718\) −1.05048 12.0070i −0.0392036 0.448099i
\(719\) 5.09393 + 28.8891i 0.189972 + 1.07738i 0.919399 + 0.393325i \(0.128675\pi\)
−0.729428 + 0.684058i \(0.760214\pi\)
\(720\) 6.69595 + 0.405348i 0.249543 + 0.0151064i
\(721\) 0.145598 0.00542233
\(722\) −18.9747 + 0.979738i −0.706166 + 0.0364621i
\(723\) 2.92599 4.90934i 0.108819 0.182580i
\(724\) −1.36943 + 3.76249i −0.0508946 + 0.139832i
\(725\) −8.05522 + 32.9239i −0.299163 + 1.22276i
\(726\) 14.9677 + 7.23412i 0.555505 + 0.268483i
\(727\) −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
\(729\) −15.3979 + 22.1789i −0.570294 + 0.821441i
\(730\) −4.54481 13.8835i −0.168211 0.513852i
\(731\) 0.0630764 + 0.173301i 0.00233296 + 0.00640977i
\(732\) 6.76466 + 1.28983i 0.250029 + 0.0476735i
\(733\) −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
\(735\) 16.3692 + 21.4636i 0.603787 + 0.791699i
\(736\) −4.10600 + 3.44535i −0.151349 + 0.126997i
\(737\) −1.65111 18.8722i −0.0608192 0.695167i
\(738\) 0.486063 4.20719i 0.0178922 0.154869i
\(739\) 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
\(741\) 5.30267 5.92712i 0.194798 0.217738i
\(742\) 0.0522246 0.0522246i 0.00191723 0.00191723i
\(743\) 11.7064 5.45879i 0.429467 0.200264i −0.195851 0.980634i \(-0.562747\pi\)
0.625318 + 0.780370i \(0.284969\pi\)
\(744\) −9.01302 + 4.05153i −0.330433 + 0.148536i
\(745\) −26.7321 + 20.9803i −0.979390 + 0.768658i
\(746\) 7.34200 + 8.74985i 0.268810 + 0.320355i
\(747\) 8.05437 16.0910i 0.294694 0.588741i
\(748\) 0.0241125 0.00646091i 0.000881639 0.000236234i
\(749\) −1.36717 2.36800i −0.0499552 0.0865249i
\(750\) −0.478911 + 19.3590i −0.0174873 + 0.706891i
\(751\) −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
\(753\) 12.6887 7.09289i 0.462402 0.258479i
\(754\) 7.03246 + 1.24001i 0.256107 + 0.0451586i
\(755\) −18.3116 34.2572i −0.666427 1.24675i
\(756\) 0.0412995 + 0.904389i 0.00150205 + 0.0328923i
\(757\) −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 \(0.0160844\pi\)
−0.998724 + 0.0505091i \(0.983916\pi\)
\(762\) −23.3055 + 19.0108i −0.844270 + 0.688689i
\(763\) −0.299046 + 0.427081i −0.0108262 + 0.0154614i
\(764\) 16.9425 + 14.2164i 0.612957 + 0.514332i
\(765\) 0.138570 0.0282825i 0.00501002 0.00102256i
\(766\) 2.86850 16.2681i 0.103643 0.587789i
\(767\) −6.86678 + 1.83995i −0.247945 + 0.0664367i
\(768\) −1.73188 0.0240358i −0.0624940 0.000867317i
\(769\) −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
\(771\) 28.5261 + 29.3290i 1.02734 + 1.05626i
\(772\) 5.22551 + 19.5019i 0.188070 + 0.701887i
\(773\) 7.83181 +