Properties

Label 552.2.bb.a.85.42
Level $552$
Weight $2$
Character 552.85
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 85.42
Character \(\chi\) \(=\) 552.85
Dual form 552.2.bb.a.13.42

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30213 + 0.551786i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.39107 + 1.43699i) q^{4} +(-3.52460 + 1.60963i) q^{5} +(-0.239791 - 1.39374i) q^{6} +(4.53885 - 1.33273i) q^{7} +(1.01843 + 2.63871i) q^{8} +(-0.415415 + 0.909632i) q^{9} +O(q^{10})\) \(q+(1.30213 + 0.551786i) q^{2} +(-0.540641 - 0.841254i) q^{3} +(1.39107 + 1.43699i) q^{4} +(-3.52460 + 1.60963i) q^{5} +(-0.239791 - 1.39374i) q^{6} +(4.53885 - 1.33273i) q^{7} +(1.01843 + 2.63871i) q^{8} +(-0.415415 + 0.909632i) q^{9} +(-5.47765 + 0.151119i) q^{10} +(2.16140 - 1.87287i) q^{11} +(0.456805 - 1.94713i) q^{12} +(-1.08690 + 3.70164i) q^{13} +(6.64553 + 0.769094i) q^{14} +(3.25965 + 2.09485i) q^{15} +(-0.129875 + 3.99789i) q^{16} +(-0.821395 + 5.71293i) q^{17} +(-1.04284 + 0.955236i) q^{18} +(4.11880 - 0.592194i) q^{19} +(-7.21597 - 2.82571i) q^{20} +(-3.57505 - 3.09780i) q^{21} +(3.84784 - 1.24608i) q^{22} +(0.624683 + 4.75497i) q^{23} +(1.66922 - 2.28335i) q^{24} +(6.55759 - 7.56787i) q^{25} +(-3.45779 + 4.22027i) q^{26} +(0.989821 - 0.142315i) q^{27} +(8.22895 + 4.66837i) q^{28} +(2.26772 + 0.326049i) q^{29} +(3.08857 + 4.52639i) q^{30} +(-4.43896 - 2.85275i) q^{31} +(-2.37509 + 5.13410i) q^{32} +(-2.74410 - 0.805740i) q^{33} +(-4.22187 + 6.98572i) q^{34} +(-13.8524 + 12.0032i) q^{35} +(-1.88500 + 0.668411i) q^{36} +(3.15297 + 1.43991i) q^{37} +(5.68996 + 1.50158i) q^{38} +(3.70164 - 1.08690i) q^{39} +(-7.83692 - 7.66110i) q^{40} +(-3.72589 - 8.15855i) q^{41} +(-2.94584 - 6.00638i) q^{42} +(-2.93821 - 4.57195i) q^{43} +(5.69794 + 0.500633i) q^{44} -3.87475i q^{45} +(-1.81031 + 6.53627i) q^{46} -1.81148 q^{47} +(3.43346 - 2.05217i) q^{48} +(12.9362 - 8.31361i) q^{49} +(12.7147 - 6.23593i) q^{50} +(5.25010 - 2.39764i) q^{51} +(-6.83116 + 3.58736i) q^{52} +(0.259645 + 0.884268i) q^{53} +(1.36740 + 0.360857i) q^{54} +(-4.60346 + 10.0802i) q^{55} +(8.13919 + 10.6194i) q^{56} +(-2.72497 - 3.14479i) q^{57} +(2.77295 + 1.67585i) q^{58} +(3.54606 - 12.0768i) q^{59} +(1.52411 + 7.59816i) q^{60} +(-2.15740 + 3.35697i) q^{61} +(-4.20598 - 6.16399i) q^{62} +(-0.673216 + 4.68232i) q^{63} +(-5.92559 + 5.37470i) q^{64} +(-2.12739 - 14.7963i) q^{65} +(-3.12857 - 2.56333i) q^{66} +(-3.94543 - 3.41874i) q^{67} +(-9.35203 + 6.76672i) q^{68} +(3.66241 - 3.09625i) q^{69} +(-24.6608 + 7.98611i) q^{70} +(8.19705 - 9.45991i) q^{71} +(-2.82333 - 0.169761i) q^{72} +(-0.513465 - 3.57123i) q^{73} +(3.31104 + 3.61471i) q^{74} +(-9.91180 - 1.42510i) q^{75} +(6.58049 + 5.09489i) q^{76} +(7.31427 - 11.3812i) q^{77} +(5.41974 + 0.627231i) q^{78} +(-6.10439 - 1.79241i) q^{79} +(-5.97737 - 14.3000i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(-0.349802 - 12.6794i) q^{82} +(2.87180 + 1.31150i) q^{83} +(-0.521625 - 9.44654i) q^{84} +(-6.30062 - 21.4579i) q^{85} +(-1.30319 - 7.57452i) q^{86} +(-0.951733 - 2.08400i) q^{87} +(7.14320 + 3.79593i) q^{88} +(-14.3771 + 9.23959i) q^{89} +(2.13803 - 5.04542i) q^{90} +18.2497i q^{91} +(-5.96387 + 7.51214i) q^{92} +5.27660i q^{93} +(-2.35878 - 0.999549i) q^{94} +(-13.5639 + 8.71699i) q^{95} +(5.60315 - 0.777647i) q^{96} +(-2.32466 - 5.09029i) q^{97} +(21.4319 - 3.68734i) q^{98} +(0.805740 + 2.74410i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30213 + 0.551786i 0.920742 + 0.390171i
\(3\) −0.540641 0.841254i −0.312139 0.485698i
\(4\) 1.39107 + 1.43699i 0.695533 + 0.718494i
\(5\) −3.52460 + 1.60963i −1.57625 + 0.719849i −0.995547 0.0942670i \(-0.969949\pi\)
−0.580702 + 0.814116i \(0.697222\pi\)
\(6\) −0.239791 1.39374i −0.0978943 0.568990i
\(7\) 4.53885 1.33273i 1.71552 0.503723i 0.731512 0.681828i \(-0.238815\pi\)
0.984012 + 0.178105i \(0.0569966\pi\)
\(8\) 1.01843 + 2.63871i 0.360070 + 0.932925i
\(9\) −0.415415 + 0.909632i −0.138472 + 0.303211i
\(10\) −5.47765 + 0.151119i −1.73218 + 0.0477880i
\(11\) 2.16140 1.87287i 0.651688 0.564691i −0.265023 0.964242i \(-0.585380\pi\)
0.916711 + 0.399551i \(0.130834\pi\)
\(12\) 0.456805 1.94713i 0.131868 0.562089i
\(13\) −1.08690 + 3.70164i −0.301452 + 1.02665i 0.659906 + 0.751348i \(0.270596\pi\)
−0.961358 + 0.275302i \(0.911222\pi\)
\(14\) 6.64553 + 0.769094i 1.77609 + 0.205549i
\(15\) 3.25965 + 2.09485i 0.841638 + 0.540888i
\(16\) −0.129875 + 3.99789i −0.0324687 + 0.999473i
\(17\) −0.821395 + 5.71293i −0.199218 + 1.38559i 0.607344 + 0.794439i \(0.292235\pi\)
−0.806562 + 0.591150i \(0.798674\pi\)
\(18\) −1.04284 + 0.955236i −0.245801 + 0.225151i
\(19\) 4.11880 0.592194i 0.944917 0.135859i 0.347402 0.937716i \(-0.387064\pi\)
0.597515 + 0.801858i \(0.296155\pi\)
\(20\) −7.21597 2.82571i −1.61354 0.631848i
\(21\) −3.57505 3.09780i −0.780140 0.675995i
\(22\) 3.84784 1.24608i 0.820363 0.265665i
\(23\) 0.624683 + 4.75497i 0.130255 + 0.991480i
\(24\) 1.66922 2.28335i 0.340728 0.466088i
\(25\) 6.55759 7.56787i 1.31152 1.51357i
\(26\) −3.45779 + 4.22027i −0.678129 + 0.827662i
\(27\) 0.989821 0.142315i 0.190491 0.0273885i
\(28\) 8.22895 + 4.66837i 1.55513 + 0.882239i
\(29\) 2.26772 + 0.326049i 0.421105 + 0.0605458i 0.349610 0.936895i \(-0.386314\pi\)
0.0714949 + 0.997441i \(0.477223\pi\)
\(30\) 3.08857 + 4.52639i 0.563893 + 0.826402i
\(31\) −4.43896 2.85275i −0.797261 0.512368i 0.0774600 0.996995i \(-0.475319\pi\)
−0.874721 + 0.484627i \(0.838955\pi\)
\(32\) −2.37509 + 5.13410i −0.419861 + 0.907588i
\(33\) −2.74410 0.805740i −0.477686 0.140261i
\(34\) −4.22187 + 6.98572i −0.724045 + 1.19804i
\(35\) −13.8524 + 12.0032i −2.34149 + 2.02891i
\(36\) −1.88500 + 0.668411i −0.314167 + 0.111402i
\(37\) 3.15297 + 1.43991i 0.518344 + 0.236720i 0.657369 0.753569i \(-0.271669\pi\)
−0.139024 + 0.990289i \(0.544397\pi\)
\(38\) 5.68996 + 1.50158i 0.923033 + 0.243589i
\(39\) 3.70164 1.08690i 0.592737 0.174043i
\(40\) −7.83692 7.66110i −1.23913 1.21133i
\(41\) −3.72589 8.15855i −0.581886 1.27415i −0.940223 0.340560i \(-0.889383\pi\)
0.358337 0.933592i \(-0.383344\pi\)
\(42\) −2.94584 6.00638i −0.454554 0.926805i
\(43\) −2.93821 4.57195i −0.448073 0.697216i 0.541587 0.840645i \(-0.317824\pi\)
−0.989661 + 0.143429i \(0.954187\pi\)
\(44\) 5.69794 + 0.500633i 0.858997 + 0.0754733i
\(45\) 3.87475i 0.577614i
\(46\) −1.81031 + 6.53627i −0.266916 + 0.963720i
\(47\) −1.81148 −0.264232 −0.132116 0.991234i \(-0.542177\pi\)
−0.132116 + 0.991234i \(0.542177\pi\)
\(48\) 3.43346 2.05217i 0.495577 0.296205i
\(49\) 12.9362 8.31361i 1.84803 1.18766i
\(50\) 12.7147 6.23593i 1.79812 0.881894i
\(51\) 5.25010 2.39764i 0.735161 0.335737i
\(52\) −6.83116 + 3.58736i −0.947312 + 0.497477i
\(53\) 0.259645 + 0.884268i 0.0356649 + 0.121464i 0.975401 0.220436i \(-0.0707480\pi\)
−0.939737 + 0.341899i \(0.888930\pi\)
\(54\) 1.36740 + 0.360857i 0.186080 + 0.0491065i
\(55\) −4.60346 + 10.0802i −0.620731 + 1.35921i
\(56\) 8.13919 + 10.6194i 1.08765 + 1.41908i
\(57\) −2.72497 3.14479i −0.360932 0.416537i
\(58\) 2.77295 + 1.67585i 0.364106 + 0.220050i
\(59\) 3.54606 12.0768i 0.461658 1.57226i −0.319284 0.947659i \(-0.603443\pi\)
0.780942 0.624603i \(-0.214739\pi\)
\(60\) 1.52411 + 7.59816i 0.196762 + 0.980918i
\(61\) −2.15740 + 3.35697i −0.276226 + 0.429816i −0.951453 0.307794i \(-0.900409\pi\)
0.675227 + 0.737610i \(0.264046\pi\)
\(62\) −4.20598 6.16399i −0.534160 0.782828i
\(63\) −0.673216 + 4.68232i −0.0848172 + 0.589917i
\(64\) −5.92559 + 5.37470i −0.740699 + 0.671837i
\(65\) −2.12739 14.7963i −0.263870 1.83526i
\(66\) −3.12857 2.56333i −0.385100 0.315524i
\(67\) −3.94543 3.41874i −0.482011 0.417665i 0.379665 0.925124i \(-0.376039\pi\)
−0.861676 + 0.507459i \(0.830585\pi\)
\(68\) −9.35203 + 6.76672i −1.13410 + 0.820585i
\(69\) 3.66241 3.09625i 0.440902 0.372745i
\(70\) −24.6608 + 7.98611i −2.94753 + 0.954523i
\(71\) 8.19705 9.45991i 0.972811 1.12268i −0.0196106 0.999808i \(-0.506243\pi\)
0.992422 0.122877i \(-0.0392119\pi\)
\(72\) −2.82333 0.169761i −0.332732 0.0200065i
\(73\) −0.513465 3.57123i −0.0600966 0.417981i −0.997555 0.0698839i \(-0.977737\pi\)
0.937459 0.348097i \(-0.113172\pi\)
\(74\) 3.31104 + 3.61471i 0.384900 + 0.420201i
\(75\) −9.91180 1.42510i −1.14452 0.164557i
\(76\) 6.58049 + 5.09489i 0.754834 + 0.584423i
\(77\) 7.31427 11.3812i 0.833538 1.29701i
\(78\) 5.41974 + 0.627231i 0.613664 + 0.0710199i
\(79\) −6.10439 1.79241i −0.686797 0.201662i −0.0803276 0.996769i \(-0.525597\pi\)
−0.606470 + 0.795107i \(0.707415\pi\)
\(80\) −5.97737 14.3000i −0.668291 1.59879i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) −0.349802 12.6794i −0.0386292 1.40020i
\(83\) 2.87180 + 1.31150i 0.315220 + 0.143956i 0.566742 0.823895i \(-0.308204\pi\)
−0.251521 + 0.967852i \(0.580931\pi\)
\(84\) −0.521625 9.44654i −0.0569140 1.03070i
\(85\) −6.30062 21.4579i −0.683398 2.32744i
\(86\) −1.30319 7.57452i −0.140526 0.816781i
\(87\) −0.951733 2.08400i −0.102036 0.223429i
\(88\) 7.14320 + 3.79593i 0.761468 + 0.404648i
\(89\) −14.3771 + 9.23959i −1.52397 + 0.979394i −0.532879 + 0.846192i \(0.678890\pi\)
−0.991089 + 0.133203i \(0.957474\pi\)
\(90\) 2.13803 5.04542i 0.225369 0.531834i
\(91\) 18.2497i 1.91309i
\(92\) −5.96387 + 7.51214i −0.621776 + 0.783195i
\(93\) 5.27660i 0.547158i
\(94\) −2.35878 0.999549i −0.243289 0.103096i
\(95\) −13.5639 + 8.71699i −1.39163 + 0.894344i
\(96\) 5.60315 0.777647i 0.571869 0.0793683i
\(97\) −2.32466 5.09029i −0.236033 0.516841i 0.754135 0.656719i \(-0.228056\pi\)
−0.990169 + 0.139878i \(0.955329\pi\)
\(98\) 21.4319 3.68734i 2.16495 0.372478i
\(99\) 0.805740 + 2.74410i 0.0809800 + 0.275792i
\(100\) 19.9970 1.10421i 1.99970 0.110421i
\(101\) −7.11749 3.25045i −0.708217 0.323432i 0.0285370 0.999593i \(-0.490915\pi\)
−0.736754 + 0.676161i \(0.763642\pi\)
\(102\) 8.15928 0.225101i 0.807889 0.0222883i
\(103\) 10.1004 + 11.6565i 0.995223 + 1.14855i 0.988902 + 0.148568i \(0.0474665\pi\)
0.00632081 + 0.999980i \(0.497988\pi\)
\(104\) −10.8745 + 0.901857i −1.06633 + 0.0884344i
\(105\) 17.5869 + 5.16399i 1.71631 + 0.503954i
\(106\) −0.149836 + 1.29470i −0.0145534 + 0.125752i
\(107\) −1.49355 + 2.32401i −0.144387 + 0.224670i −0.905913 0.423464i \(-0.860814\pi\)
0.761526 + 0.648134i \(0.224450\pi\)
\(108\) 1.58141 + 1.22439i 0.152171 + 0.117817i
\(109\) 5.47730 + 0.787517i 0.524630 + 0.0754305i 0.399542 0.916715i \(-0.369169\pi\)
0.125089 + 0.992146i \(0.460078\pi\)
\(110\) −11.5564 + 10.5855i −1.10186 + 1.00929i
\(111\) −0.493292 3.43092i −0.0468212 0.325648i
\(112\) 4.73861 + 18.3189i 0.447757 + 1.73097i
\(113\) 5.91361 6.82467i 0.556306 0.642011i −0.406035 0.913858i \(-0.633089\pi\)
0.962341 + 0.271847i \(0.0876343\pi\)
\(114\) −1.81301 5.59851i −0.169804 0.524349i
\(115\) −9.85551 15.7539i −0.919031 1.46906i
\(116\) 2.68602 + 3.71225i 0.249391 + 0.344673i
\(117\) −2.91561 2.52639i −0.269549 0.233565i
\(118\) 11.2812 13.7688i 1.03852 1.26752i
\(119\) 3.88558 + 27.0248i 0.356191 + 2.47736i
\(120\) −2.20797 + 10.7347i −0.201559 + 0.979943i
\(121\) −0.401427 + 2.79199i −0.0364934 + 0.253817i
\(122\) −4.66153 + 3.18078i −0.422035 + 0.287975i
\(123\) −4.84905 + 7.54526i −0.437224 + 0.680333i
\(124\) −2.07552 10.3471i −0.186387 0.929197i
\(125\) −5.47320 + 18.6400i −0.489538 + 1.66721i
\(126\) −3.46025 + 5.72550i −0.308263 + 0.510068i
\(127\) −2.57832 2.97554i −0.228789 0.264036i 0.629735 0.776810i \(-0.283163\pi\)
−0.858524 + 0.512774i \(0.828618\pi\)
\(128\) −10.6815 + 3.72888i −0.944124 + 0.329590i
\(129\) −2.25765 + 4.94356i −0.198775 + 0.435257i
\(130\) 5.39426 20.4405i 0.473108 1.79275i
\(131\) −3.21142 10.9371i −0.280583 0.955577i −0.972364 0.233470i \(-0.924992\pi\)
0.691781 0.722107i \(-0.256826\pi\)
\(132\) −2.65938 5.06408i −0.231469 0.440771i
\(133\) 17.9054 8.17711i 1.55259 0.709045i
\(134\) −3.25104 6.62866i −0.280847 0.572629i
\(135\) −3.25965 + 2.09485i −0.280546 + 0.180296i
\(136\) −15.9113 + 3.65081i −1.36438 + 0.313054i
\(137\) −2.49984 −0.213575 −0.106788 0.994282i \(-0.534057\pi\)
−0.106788 + 0.994282i \(0.534057\pi\)
\(138\) 6.47738 2.01084i 0.551392 0.171174i
\(139\) 6.51360i 0.552476i 0.961089 + 0.276238i \(0.0890879\pi\)
−0.961089 + 0.276238i \(0.910912\pi\)
\(140\) −36.5181 3.20856i −3.08634 0.271173i
\(141\) 0.979360 + 1.52391i 0.0824770 + 0.128337i
\(142\) 15.8934 7.79497i 1.33375 0.654140i
\(143\) 4.58345 + 10.0364i 0.383287 + 0.839282i
\(144\) −3.58266 1.77892i −0.298555 0.148244i
\(145\) −8.51763 + 2.50100i −0.707351 + 0.207697i
\(146\) 1.30196 4.93351i 0.107751 0.408300i
\(147\) −13.9877 6.38797i −1.15369 0.526871i
\(148\) 2.31684 + 6.53379i 0.190443 + 0.537074i
\(149\) −4.91311 + 4.25724i −0.402498 + 0.348766i −0.832465 0.554078i \(-0.813071\pi\)
0.429967 + 0.902845i \(0.358525\pi\)
\(150\) −12.1201 7.32485i −0.989599 0.598071i
\(151\) −17.7755 5.21935i −1.44655 0.424745i −0.538150 0.842849i \(-0.680877\pi\)
−0.908399 + 0.418104i \(0.862695\pi\)
\(152\) 5.75734 + 10.2652i 0.466982 + 0.832618i
\(153\) −4.85544 3.12040i −0.392539 0.252270i
\(154\) 15.8041 10.7839i 1.27353 0.868990i
\(155\) 20.2374 + 2.90970i 1.62551 + 0.233713i
\(156\) 6.71108 + 3.80727i 0.537317 + 0.304825i
\(157\) 4.98201 0.716305i 0.397608 0.0571673i 0.0593890 0.998235i \(-0.481085\pi\)
0.338219 + 0.941068i \(0.390176\pi\)
\(158\) −6.95966 5.70226i −0.553681 0.453647i
\(159\) 0.603519 0.696498i 0.0478622 0.0552359i
\(160\) 0.107251 21.9187i 0.00847890 1.73282i
\(161\) 9.17242 + 20.7496i 0.722888 + 1.63530i
\(162\) −0.435700 1.34542i −0.0342318 0.105706i
\(163\) −5.92833 5.13693i −0.464343 0.402355i 0.391022 0.920381i \(-0.372122\pi\)
−0.855365 + 0.518026i \(0.826667\pi\)
\(164\) 6.54080 16.7031i 0.510751 1.30430i
\(165\) 10.9688 1.57708i 0.853920 0.122775i
\(166\) 3.01577 + 3.29236i 0.234069 + 0.255537i
\(167\) 0.577344 4.01552i 0.0446762 0.310730i −0.955214 0.295916i \(-0.904375\pi\)
0.999890 0.0148142i \(-0.00471567\pi\)
\(168\) 4.53324 12.5884i 0.349747 0.971217i
\(169\) −1.58449 1.01829i −0.121883 0.0783298i
\(170\) 3.63598 31.4175i 0.278867 2.40961i
\(171\) −1.17233 + 3.99259i −0.0896504 + 0.305321i
\(172\) 2.48259 10.5821i 0.189296 0.806875i
\(173\) 4.91597 4.25971i 0.373754 0.323860i −0.447647 0.894210i \(-0.647738\pi\)
0.821402 + 0.570350i \(0.193193\pi\)
\(174\) −0.0893527 3.23879i −0.00677381 0.245532i
\(175\) 19.6780 43.0889i 1.48752 3.25721i
\(176\) 7.20681 + 8.88430i 0.543234 + 0.669679i
\(177\) −12.0768 + 3.54606i −0.907746 + 0.266538i
\(178\) −23.8190 + 4.09804i −1.78531 + 0.307161i
\(179\) 22.4196 10.2387i 1.67572 0.765275i 0.676124 0.736788i \(-0.263658\pi\)
0.999594 0.0284874i \(-0.00906904\pi\)
\(180\) 5.56798 5.39004i 0.415013 0.401750i
\(181\) 8.92253 + 13.8837i 0.663206 + 1.03197i 0.996033 + 0.0889812i \(0.0283611\pi\)
−0.332827 + 0.942988i \(0.608003\pi\)
\(182\) −10.0699 + 23.7634i −0.746433 + 1.76146i
\(183\) 3.99044 0.294982
\(184\) −11.9108 + 6.49098i −0.878076 + 0.478521i
\(185\) −13.4307 −0.987442
\(186\) −2.91155 + 6.87080i −0.213485 + 0.503792i
\(187\) 8.92419 + 13.8863i 0.652601 + 1.01547i
\(188\) −2.51989 2.60308i −0.183782 0.189849i
\(189\) 4.30298 1.96511i 0.312996 0.142940i
\(190\) −22.4718 + 3.86625i −1.63028 + 0.280488i
\(191\) 0.826372 0.242645i 0.0597942 0.0175572i −0.251699 0.967806i \(-0.580989\pi\)
0.311493 + 0.950248i \(0.399171\pi\)
\(192\) 7.72510 + 2.07914i 0.557511 + 0.150049i
\(193\) 5.42583 11.8809i 0.390560 0.855207i −0.607581 0.794258i \(-0.707860\pi\)
0.998141 0.0609491i \(-0.0194127\pi\)
\(194\) −0.218249 7.91091i −0.0156693 0.567971i
\(195\) −11.2973 + 9.78916i −0.809016 + 0.701016i
\(196\) 29.9417 + 7.02444i 2.13869 + 0.501746i
\(197\) −0.501591 + 1.70826i −0.0357368 + 0.121709i −0.975430 0.220311i \(-0.929293\pi\)
0.939693 + 0.342020i \(0.111111\pi\)
\(198\) −0.464979 + 4.01776i −0.0330446 + 0.285530i
\(199\) 3.65576 + 2.34942i 0.259150 + 0.166546i 0.663764 0.747942i \(-0.268958\pi\)
−0.404614 + 0.914488i \(0.632594\pi\)
\(200\) 26.6479 + 9.59623i 1.88429 + 0.678556i
\(201\) −0.742963 + 5.16742i −0.0524045 + 0.364482i
\(202\) −7.47432 8.15983i −0.525892 0.574123i
\(203\) 10.7274 1.54236i 0.752915 0.108253i
\(204\) 10.7486 + 4.20906i 0.752554 + 0.294693i
\(205\) 26.2645 + 22.7583i 1.83439 + 1.58951i
\(206\) 6.72012 + 20.7515i 0.468213 + 1.44582i
\(207\) −4.58478 1.40706i −0.318664 0.0977972i
\(208\) −14.6576 4.82605i −1.01632 0.334627i
\(209\) 7.79328 8.99393i 0.539073 0.622123i
\(210\) 20.0510 + 16.4284i 1.38365 + 1.13367i
\(211\) 1.76535 0.253819i 0.121532 0.0174736i −0.0812806 0.996691i \(-0.525901\pi\)
0.202812 + 0.979218i \(0.434992\pi\)
\(212\) −0.909501 + 1.60318i −0.0624648 + 0.110107i
\(213\) −12.3898 1.78139i −0.848938 0.122059i
\(214\) −3.22714 + 2.20203i −0.220603 + 0.150528i
\(215\) 17.7152 + 11.3849i 1.20817 + 0.776441i
\(216\) 1.38359 + 2.46691i 0.0941417 + 0.167852i
\(217\) −23.9497 7.03227i −1.62581 0.477382i
\(218\) 6.69760 + 4.04774i 0.453619 + 0.274148i
\(219\) −2.72671 + 2.36271i −0.184254 + 0.159657i
\(220\) −20.8888 + 7.40706i −1.40832 + 0.499384i
\(221\) −20.2544 9.24989i −1.36246 0.622215i
\(222\) 1.25080 4.73968i 0.0839484 0.318106i
\(223\) 12.3935 3.63907i 0.829933 0.243690i 0.160945 0.986963i \(-0.448546\pi\)
0.668988 + 0.743273i \(0.266728\pi\)
\(224\) −3.93784 + 26.4682i −0.263108 + 1.76848i
\(225\) 4.15985 + 9.10880i 0.277323 + 0.607253i
\(226\) 11.4660 5.62354i 0.762708 0.374072i
\(227\) −5.83168 9.07428i −0.387062 0.602281i 0.591976 0.805955i \(-0.298348\pi\)
−0.979039 + 0.203675i \(0.934712\pi\)
\(228\) 0.728409 8.29036i 0.0482400 0.549043i
\(229\) 15.5946i 1.03052i −0.857034 0.515260i \(-0.827695\pi\)
0.857034 0.515260i \(-0.172305\pi\)
\(230\) −4.14036 25.9517i −0.273007 1.71120i
\(231\) −13.5289 −0.890136
\(232\) 1.44917 + 6.31592i 0.0951428 + 0.414661i
\(233\) 18.0279 11.5858i 1.18104 0.759011i 0.205466 0.978664i \(-0.434129\pi\)
0.975578 + 0.219653i \(0.0704925\pi\)
\(234\) −2.40247 4.89848i −0.157054 0.320224i
\(235\) 6.38475 2.91582i 0.416495 0.190207i
\(236\) 22.2870 11.7039i 1.45076 0.761861i
\(237\) 1.79241 + 6.10439i 0.116430 + 0.396523i
\(238\) −9.85239 + 37.3337i −0.638635 + 2.41999i
\(239\) −6.08045 + 13.3143i −0.393312 + 0.861232i 0.604593 + 0.796534i \(0.293336\pi\)
−0.997905 + 0.0646979i \(0.979392\pi\)
\(240\) −8.79833 + 12.7597i −0.567930 + 0.823633i
\(241\) 4.30985 + 4.97383i 0.277622 + 0.320393i 0.877387 0.479783i \(-0.159285\pi\)
−0.599765 + 0.800176i \(0.704739\pi\)
\(242\) −2.06329 + 3.41402i −0.132633 + 0.219461i
\(243\) −0.281733 + 0.959493i −0.0180732 + 0.0615515i
\(244\) −7.82501 + 1.56962i −0.500945 + 0.100484i
\(245\) −32.2132 + 50.1247i −2.05802 + 3.20235i
\(246\) −10.4774 + 7.14925i −0.668017 + 0.455820i
\(247\) −2.28463 + 15.8900i −0.145368 + 1.01105i
\(248\) 3.00679 14.6185i 0.190931 0.928273i
\(249\) −0.449302 3.12496i −0.0284733 0.198036i
\(250\) −17.4121 + 21.2516i −1.10124 + 1.34407i
\(251\) 3.63931 + 3.15348i 0.229711 + 0.199046i 0.762110 0.647448i \(-0.224164\pi\)
−0.532398 + 0.846494i \(0.678709\pi\)
\(252\) −7.66493 + 5.54601i −0.482845 + 0.349366i
\(253\) 10.2556 + 9.10747i 0.644766 + 0.572582i
\(254\) −1.71544 5.29721i −0.107636 0.332376i
\(255\) −14.6452 + 16.9015i −0.917117 + 1.05841i
\(256\) −15.9663 1.03845i −0.997892 0.0649031i
\(257\) 1.25921 + 8.75797i 0.0785471 + 0.546307i 0.990659 + 0.136365i \(0.0435421\pi\)
−0.912111 + 0.409942i \(0.865549\pi\)
\(258\) −5.66753 + 5.19141i −0.352845 + 0.323203i
\(259\) 16.2298 + 2.33350i 1.00847 + 0.144997i
\(260\) 18.3028 23.6397i 1.13509 1.46607i
\(261\) −1.23863 + 1.92735i −0.0766693 + 0.119300i
\(262\) 1.85325 16.0135i 0.114494 0.989316i
\(263\) −13.1117 3.84993i −0.808500 0.237397i −0.148743 0.988876i \(-0.547523\pi\)
−0.659757 + 0.751479i \(0.729341\pi\)
\(264\) −0.668565 8.06148i −0.0411473 0.496150i
\(265\) −2.33849 2.69876i −0.143652 0.165783i
\(266\) 27.8271 0.767702i 1.70619 0.0470708i
\(267\) 15.5457 + 7.09947i 0.951380 + 0.434481i
\(268\) −0.575667 10.4252i −0.0351645 0.636822i
\(269\) 5.56815 + 18.9634i 0.339496 + 1.15622i 0.935527 + 0.353256i \(0.114926\pi\)
−0.596030 + 0.802962i \(0.703256\pi\)
\(270\) −5.40039 + 0.929131i −0.328657 + 0.0565451i
\(271\) −6.26258 13.7131i −0.380425 0.833014i −0.998886 0.0471983i \(-0.984971\pi\)
0.618461 0.785816i \(-0.287757\pi\)
\(272\) −22.7330 4.02581i −1.37839 0.244101i
\(273\) 15.3526 9.86654i 0.929184 0.597150i
\(274\) −3.25510 1.37937i −0.196648 0.0833310i
\(275\) 28.6387i 1.72698i
\(276\) 9.54393 + 0.955757i 0.574477 + 0.0575298i
\(277\) 10.0004i 0.600868i −0.953803 0.300434i \(-0.902868\pi\)
0.953803 0.300434i \(-0.0971315\pi\)
\(278\) −3.59411 + 8.48153i −0.215560 + 0.508688i
\(279\) 4.43896 2.85275i 0.265754 0.170789i
\(280\) −45.7808 24.3281i −2.73592 1.45388i
\(281\) 1.28466 + 2.81301i 0.0766362 + 0.167810i 0.944072 0.329739i \(-0.106961\pi\)
−0.867436 + 0.497549i \(0.834234\pi\)
\(282\) 0.434377 + 2.52473i 0.0258668 + 0.150345i
\(283\) 0.852585 + 2.90364i 0.0506809 + 0.172603i 0.980944 0.194289i \(-0.0622399\pi\)
−0.930263 + 0.366892i \(0.880422\pi\)
\(284\) 24.9964 1.38027i 1.48326 0.0819039i
\(285\) 14.6664 + 6.69792i 0.868762 + 0.396750i
\(286\) 0.430314 + 15.5977i 0.0254450 + 0.922311i
\(287\) −27.7844 32.0649i −1.64006 1.89273i
\(288\) −3.68349 4.29324i −0.217052 0.252982i
\(289\) −15.6515 4.59569i −0.920675 0.270335i
\(290\) −12.4710 1.44329i −0.732325 0.0847527i
\(291\) −3.02542 + 4.70765i −0.177353 + 0.275967i
\(292\) 4.41755 5.70566i 0.258518 0.333898i
\(293\) −20.4356 2.93820i −1.19386 0.171651i −0.483407 0.875396i \(-0.660601\pi\)
−0.710453 + 0.703744i \(0.751510\pi\)
\(294\) −14.6890 16.0362i −0.856678 0.935247i
\(295\) 6.94070 + 48.2737i 0.404103 + 2.81060i
\(296\) −0.588426 + 9.78622i −0.0342016 + 0.568812i
\(297\) 1.87287 2.16140i 0.108675 0.125417i
\(298\) −8.74658 + 2.83247i −0.506676 + 0.164081i
\(299\) −18.2802 2.85583i −1.05717 0.165157i
\(300\) −11.7401 16.2256i −0.677815 0.936783i
\(301\) −19.4293 16.8356i −1.11988 0.970385i
\(302\) −20.2660 16.6045i −1.16618 0.955483i
\(303\) 1.11355 + 7.74494i 0.0639720 + 0.444935i
\(304\) 1.83260 + 16.5434i 0.105107 + 0.948830i
\(305\) 2.20047 15.3046i 0.125999 0.876339i
\(306\) −4.60060 6.74232i −0.262999 0.385433i
\(307\) −9.52345 + 14.8188i −0.543532 + 0.845752i −0.999010 0.0444952i \(-0.985832\pi\)
0.455478 + 0.890247i \(0.349468\pi\)
\(308\) 26.5293 5.32150i 1.51165 0.303221i
\(309\) 4.34537 14.7990i 0.247200 0.841885i
\(310\) 24.7462 + 14.9555i 1.40549 + 0.849417i
\(311\) −2.24430 2.59005i −0.127262 0.146869i 0.688542 0.725196i \(-0.258251\pi\)
−0.815805 + 0.578328i \(0.803706\pi\)
\(312\) 6.63788 + 8.66062i 0.375796 + 0.490311i
\(313\) −3.94364 + 8.63537i −0.222908 + 0.488100i −0.987736 0.156135i \(-0.950097\pi\)
0.764828 + 0.644235i \(0.222824\pi\)
\(314\) 6.88245 + 1.81628i 0.388399 + 0.102499i
\(315\) −5.16399 17.5869i −0.290958 0.990911i
\(316\) −5.91593 11.2653i −0.332797 0.633722i
\(317\) 14.0773 6.42888i 0.790659 0.361082i 0.0211977 0.999775i \(-0.493252\pi\)
0.769461 + 0.638693i \(0.220525\pi\)
\(318\) 1.17018 0.573915i 0.0656202 0.0321836i
\(319\) 5.51211 3.54242i 0.308619 0.198337i
\(320\) 12.2341 28.4817i 0.683904 1.59217i
\(321\) 2.76255 0.154191
\(322\) 0.494329 + 32.0798i 0.0275479 + 1.78774i
\(323\) 24.0168i 1.33633i
\(324\) 0.175050 1.99232i 0.00972499 0.110685i
\(325\) 20.8861 + 32.4994i 1.15855 + 1.80274i
\(326\) −4.88495 9.96010i −0.270553 0.551639i
\(327\) −2.29875 5.03356i −0.127121 0.278357i
\(328\) 17.7335 18.1405i 0.979169 1.00164i
\(329\) −8.22204 + 2.41421i −0.453296 + 0.133100i
\(330\) 15.1530 + 3.99888i 0.834144 + 0.220131i
\(331\) −7.40922 3.38368i −0.407247 0.185984i 0.201249 0.979540i \(-0.435500\pi\)
−0.608497 + 0.793556i \(0.708227\pi\)
\(332\) 2.11024 + 5.95113i 0.115814 + 0.326611i
\(333\) −2.61958 + 2.26988i −0.143552 + 0.124389i
\(334\) 2.96748 4.91014i 0.162373 0.268671i
\(335\) 19.4090 + 5.69899i 1.06043 + 0.311369i
\(336\) 12.8490 13.8903i 0.700968 0.757780i
\(337\) 24.7247 + 15.8896i 1.34684 + 0.865562i 0.997447 0.0714141i \(-0.0227512\pi\)
0.349394 + 0.936976i \(0.386388\pi\)
\(338\) −1.50132 2.20023i −0.0816612 0.119677i
\(339\) −8.93842 1.28515i −0.485468 0.0697998i
\(340\) 22.0702 38.9033i 1.19693 2.10983i
\(341\) −14.9372 + 2.14765i −0.808895 + 0.116302i
\(342\) −3.72958 + 4.55199i −0.201673 + 0.246143i
\(343\) 25.9512 29.9493i 1.40123 1.61711i
\(344\) 9.07168 12.4093i 0.489112 0.669066i
\(345\) −7.92471 + 16.8082i −0.426652 + 0.904921i
\(346\) 8.75166 2.83412i 0.470492 0.152363i
\(347\) 18.1917 + 15.7632i 0.976580 + 0.846212i 0.988114 0.153722i \(-0.0491259\pi\)
−0.0115338 + 0.999933i \(0.503671\pi\)
\(348\) 1.67077 4.26662i 0.0895626 0.228715i
\(349\) −28.7939 + 4.13994i −1.54130 + 0.221606i −0.859961 0.510360i \(-0.829512\pi\)
−0.681341 + 0.731966i \(0.738603\pi\)
\(350\) 49.3991 45.2491i 2.64049 2.41867i
\(351\) −0.549038 + 3.81864i −0.0293055 + 0.203824i
\(352\) 4.48195 + 15.5451i 0.238889 + 0.828556i
\(353\) −30.2053 19.4117i −1.60766 1.03318i −0.963287 0.268474i \(-0.913481\pi\)
−0.644376 0.764709i \(-0.722883\pi\)
\(354\) −17.6822 2.04637i −0.939796 0.108763i
\(355\) −13.6644 + 46.5366i −0.725230 + 2.46991i
\(356\) −33.2766 7.80684i −1.76366 0.413761i
\(357\) 20.6340 17.8795i 1.09207 0.946282i
\(358\) 34.8427 0.961251i 1.84149 0.0508037i
\(359\) −5.53547 + 12.1210i −0.292151 + 0.639721i −0.997615 0.0690247i \(-0.978011\pi\)
0.705464 + 0.708745i \(0.250739\pi\)
\(360\) 10.2244 3.94618i 0.538871 0.207982i
\(361\) −1.61658 + 0.474670i −0.0850830 + 0.0249826i
\(362\) 3.95742 + 23.0017i 0.207997 + 1.20894i
\(363\) 2.56580 1.17176i 0.134669 0.0615015i
\(364\) −26.2247 + 25.3866i −1.37455 + 1.33062i
\(365\) 7.55812 + 11.7607i 0.395610 + 0.615581i
\(366\) 5.19606 + 2.20187i 0.271602 + 0.115094i
\(367\) −4.82768 −0.252003 −0.126001 0.992030i \(-0.540214\pi\)
−0.126001 + 0.992030i \(0.540214\pi\)
\(368\) −19.0910 + 1.87986i −0.995187 + 0.0979946i
\(369\) 8.96907 0.466911
\(370\) −17.4884 7.41085i −0.909180 0.385272i
\(371\) 2.35697 + 3.66752i 0.122368 + 0.190408i
\(372\) −7.58242 + 7.34010i −0.393130 + 0.380566i
\(373\) 15.8773 7.25094i 0.822097 0.375439i 0.0404668 0.999181i \(-0.487116\pi\)
0.781631 + 0.623742i \(0.214388\pi\)
\(374\) 3.95816 + 23.0060i 0.204671 + 1.18961i
\(375\) 18.6400 5.47320i 0.962566 0.282635i
\(376\) −1.84487 4.77997i −0.0951420 0.246508i
\(377\) −3.67170 + 8.03990i −0.189102 + 0.414076i
\(378\) 6.68735 0.184493i 0.343960 0.00948928i
\(379\) −0.599346 + 0.519336i −0.0307863 + 0.0266765i −0.670118 0.742255i \(-0.733757\pi\)
0.639332 + 0.768931i \(0.279211\pi\)
\(380\) −31.3945 7.36527i −1.61050 0.377831i
\(381\) −1.10924 + 3.77772i −0.0568280 + 0.193538i
\(382\) 1.20993 + 0.140026i 0.0619053 + 0.00716436i
\(383\) 19.5513 + 12.5649i 0.999026 + 0.642035i 0.934531 0.355883i \(-0.115820\pi\)
0.0644957 + 0.997918i \(0.479456\pi\)
\(384\) 8.91181 + 6.96990i 0.454779 + 0.355681i
\(385\) −7.46030 + 51.8876i −0.380212 + 2.64443i
\(386\) 13.6208 12.4766i 0.693282 0.635040i
\(387\) 5.37937 0.773437i 0.273449 0.0393160i
\(388\) 4.08094 10.4214i 0.207178 0.529068i
\(389\) −5.05561 4.38071i −0.256329 0.222111i 0.517211 0.855858i \(-0.326970\pi\)
−0.773540 + 0.633747i \(0.781516\pi\)
\(390\) −20.1120 + 6.51304i −1.01841 + 0.329800i
\(391\) −27.6779 0.336945i −1.39973 0.0170400i
\(392\) 35.1119 + 25.6681i 1.77342 + 1.29643i
\(393\) −7.46464 + 8.61465i −0.376541 + 0.434552i
\(394\) −1.59573 + 1.94760i −0.0803916 + 0.0981187i
\(395\) 24.4006 3.50828i 1.22773 0.176521i
\(396\) −2.82240 + 4.97506i −0.141831 + 0.250006i
\(397\) −39.0549 5.61525i −1.96011 0.281821i −0.999998 0.00220927i \(-0.999297\pi\)
−0.960113 0.279612i \(-0.909794\pi\)
\(398\) 3.46389 + 5.07644i 0.173629 + 0.254459i
\(399\) −16.5594 10.6421i −0.829006 0.532770i
\(400\) 29.4038 + 27.1994i 1.47019 + 1.35997i
\(401\) 6.09891 + 1.79080i 0.304565 + 0.0894284i 0.430444 0.902617i \(-0.358357\pi\)
−0.125879 + 0.992046i \(0.540175\pi\)
\(402\) −3.81874 + 6.31868i −0.190461 + 0.315147i
\(403\) 15.3845 13.3308i 0.766359 0.664054i
\(404\) −5.23004 14.7493i −0.260204 0.733808i
\(405\) 3.52460 + 1.60963i 0.175139 + 0.0799832i
\(406\) 14.8195 + 3.91086i 0.735477 + 0.194093i
\(407\) 9.51160 2.79286i 0.471472 0.138437i
\(408\) 11.6736 + 11.4117i 0.577927 + 0.564961i
\(409\) 9.08619 + 19.8960i 0.449283 + 0.983792i 0.989801 + 0.142460i \(0.0455011\pi\)
−0.540518 + 0.841333i \(0.681772\pi\)
\(410\) 21.6420 + 44.1266i 1.06882 + 2.17926i
\(411\) 1.35151 + 2.10300i 0.0666652 + 0.103733i
\(412\) −2.69992 + 30.7291i −0.133016 + 1.51392i
\(413\) 59.5406i 2.92980i
\(414\) −5.19357 4.36198i −0.255250 0.214380i
\(415\) −12.2330 −0.600493
\(416\) −16.4231 14.3720i −0.805208 0.704644i
\(417\) 5.47959 3.52152i 0.268337 0.172450i
\(418\) 15.1106 7.41101i 0.739082 0.362484i
\(419\) 4.44688 2.03082i 0.217245 0.0992123i −0.303820 0.952729i \(-0.598262\pi\)
0.521065 + 0.853517i \(0.325535\pi\)
\(420\) 17.0440 + 32.4557i 0.831661 + 1.58367i
\(421\) −6.50940 22.1690i −0.317249 1.08045i −0.951583 0.307391i \(-0.900544\pi\)
0.634335 0.773058i \(-0.281274\pi\)
\(422\) 2.43876 + 0.643589i 0.118717 + 0.0313294i
\(423\) 0.752516 1.64778i 0.0365886 0.0801178i
\(424\) −2.06890 + 1.58569i −0.100475 + 0.0770081i
\(425\) 37.8483 + 43.6793i 1.83591 + 2.11876i
\(426\) −15.1502 9.15613i −0.734029 0.443616i
\(427\) −5.31817 + 18.1120i −0.257364 + 0.876502i
\(428\) −5.41720 + 1.08663i −0.261850 + 0.0525244i
\(429\) 5.96512 9.28191i 0.287999 0.448135i
\(430\) 16.7854 + 24.5995i 0.809464 + 1.18629i
\(431\) 3.07383 21.3789i 0.148061 1.02979i −0.771328 0.636438i \(-0.780407\pi\)
0.919389 0.393349i \(-0.128684\pi\)
\(432\) 0.440406 + 3.97568i 0.0211891 + 0.191280i
\(433\) −1.52923 10.6360i −0.0734902 0.511136i −0.993004 0.118079i \(-0.962327\pi\)
0.919514 0.393057i \(-0.128583\pi\)
\(434\) −27.3052 22.3720i −1.31069 1.07389i
\(435\) 6.70896 + 5.81334i 0.321670 + 0.278729i
\(436\) 6.48763 + 8.96631i 0.310701 + 0.429408i
\(437\) 5.38880 + 19.2148i 0.257781 + 0.919170i
\(438\) −4.85423 + 1.57198i −0.231944 + 0.0751123i
\(439\) 2.44296 2.81933i 0.116596 0.134559i −0.694451 0.719540i \(-0.744353\pi\)
0.811047 + 0.584981i \(0.198898\pi\)
\(440\) −31.2870 1.88122i −1.49155 0.0896838i
\(441\) 2.18842 + 15.2208i 0.104210 + 0.724800i
\(442\) −21.2699 23.2206i −1.01170 1.10449i
\(443\) −0.576872 0.0829416i −0.0274080 0.00394068i 0.128597 0.991697i \(-0.458953\pi\)
−0.156005 + 0.987756i \(0.549862\pi\)
\(444\) 4.24399 5.48149i 0.201411 0.260140i
\(445\) 35.8011 55.7077i 1.69714 2.64080i
\(446\) 18.1459 + 2.10005i 0.859235 + 0.0994401i
\(447\) 6.23765 + 1.83154i 0.295030 + 0.0866288i
\(448\) −19.7324 + 32.2921i −0.932266 + 1.52566i
\(449\) 5.26819 + 6.07981i 0.248621 + 0.286924i 0.866319 0.499492i \(-0.166480\pi\)
−0.617698 + 0.786416i \(0.711934\pi\)
\(450\) 0.390544 + 14.1562i 0.0184104 + 0.667328i
\(451\) −23.3330 10.6558i −1.09871 0.501764i
\(452\) 18.0332 0.995769i 0.848210 0.0468370i
\(453\) 5.21935 + 17.7755i 0.245227 + 0.835165i
\(454\) −2.58653 15.0337i −0.121392 0.705566i
\(455\) −29.3753 64.3230i −1.37714 3.01551i
\(456\) 5.52298 10.3932i 0.258637 0.486705i
\(457\) 8.21174 5.27736i 0.384129 0.246865i −0.334298 0.942468i \(-0.608499\pi\)
0.718426 + 0.695603i \(0.244863\pi\)
\(458\) 8.60487 20.3061i 0.402079 0.948843i
\(459\) 5.77168i 0.269399i
\(460\) 8.92849 36.0769i 0.416293 1.68210i
\(461\) 34.0451i 1.58564i −0.609456 0.792820i \(-0.708612\pi\)
0.609456 0.792820i \(-0.291388\pi\)
\(462\) −17.6163 7.46505i −0.819585 0.347305i
\(463\) −16.0380 + 10.3070i −0.745347 + 0.479005i −0.857370 0.514700i \(-0.827903\pi\)
0.112023 + 0.993706i \(0.464267\pi\)
\(464\) −1.59803 + 9.02376i −0.0741866 + 0.418917i
\(465\) −8.49338 18.5979i −0.393871 0.862458i
\(466\) 29.8674 5.13866i 1.38358 0.238044i
\(467\) −3.24602 11.0549i −0.150208 0.511561i 0.849668 0.527318i \(-0.176802\pi\)
−0.999876 + 0.0157569i \(0.994984\pi\)
\(468\) −0.425409 7.70409i −0.0196646 0.356122i
\(469\) −22.4640 10.2590i −1.03729 0.473714i
\(470\) 9.92265 0.273749i 0.457698 0.0126271i
\(471\) −3.29607 3.80387i −0.151875 0.175273i
\(472\) 35.4785 2.94235i 1.63303 0.135433i
\(473\) −14.9133 4.37895i −0.685715 0.201344i
\(474\) −1.03437 + 8.93771i −0.0475102 + 0.410523i
\(475\) 22.5277 35.0539i 1.03364 1.60838i
\(476\) −33.4293 + 43.1768i −1.53223 + 1.97901i
\(477\) −0.912219 0.131157i −0.0417676 0.00600528i
\(478\) −15.2642 + 13.9818i −0.698167 + 0.639514i
\(479\) −1.69077 11.7596i −0.0772533 0.537309i −0.991292 0.131682i \(-0.957962\pi\)
0.914039 0.405627i \(-0.132947\pi\)
\(480\) −18.4971 + 11.7599i −0.844275 + 0.536763i
\(481\) −8.75699 + 10.1061i −0.399284 + 0.460799i
\(482\) 2.86748 + 8.85467i 0.130610 + 0.403319i
\(483\) 12.4967 18.9344i 0.568618 0.861545i
\(484\) −4.57047 + 3.30699i −0.207748 + 0.150318i
\(485\) 16.3870 + 14.1994i 0.744095 + 0.644762i
\(486\) −0.896286 + 1.09392i −0.0406563 + 0.0496214i
\(487\) −2.71573 18.8883i −0.123061 0.855910i −0.954056 0.299629i \(-0.903137\pi\)
0.830994 0.556281i \(-0.187772\pi\)
\(488\) −11.0552 2.27389i −0.500447 0.102934i
\(489\) −1.11636 + 7.76446i −0.0504836 + 0.351121i
\(490\) −69.6037 + 47.4939i −3.14437 + 2.14556i
\(491\) −11.7945 + 18.3525i −0.532277 + 0.828239i −0.998404 0.0564789i \(-0.982013\pi\)
0.466127 + 0.884718i \(0.345649\pi\)
\(492\) −17.5878 + 3.52793i −0.792919 + 0.159051i
\(493\) −3.72539 + 12.6875i −0.167783 + 0.571417i
\(494\) −11.7427 + 19.4301i −0.528330 + 0.874201i
\(495\) −7.25690 8.37491i −0.326173 0.376424i
\(496\) 11.9815 17.3760i 0.537984 0.780205i
\(497\) 24.5977 53.8615i 1.10336 2.41602i
\(498\) 1.13926 4.31701i 0.0510515 0.193450i
\(499\) 3.15207 + 10.7350i 0.141106 + 0.480563i 0.999473 0.0324737i \(-0.0103385\pi\)
−0.858366 + 0.513037i \(0.828520\pi\)
\(500\) −34.3991 + 18.0645i −1.53837 + 0.807871i
\(501\) −3.69020 + 1.68526i −0.164866 + 0.0752918i
\(502\) 2.99880 + 6.11435i 0.133843 + 0.272897i
\(503\) 25.5841 16.4419i 1.14074 0.733107i 0.172963 0.984928i \(-0.444666\pi\)
0.967774 + 0.251821i \(0.0810294\pi\)
\(504\) −13.0409 + 2.99220i −0.580888 + 0.133283i
\(505\) 30.3183 1.34915
\(506\) 8.32875 + 17.5180i 0.370258 + 0.778769i
\(507\) 1.88348i 0.0836483i
\(508\) 0.689206 7.84418i 0.0305786 0.348029i
\(509\) −16.7905 26.1266i −0.744226 1.15804i −0.982395 0.186815i \(-0.940183\pi\)
0.238169 0.971224i \(-0.423453\pi\)
\(510\) −28.3959 + 13.9268i −1.25739 + 0.616690i
\(511\) −7.09001 15.5250i −0.313644 0.686784i
\(512\) −20.2171 10.1621i −0.893478 0.449108i
\(513\) 3.99259 1.17233i 0.176277 0.0517597i
\(514\) −3.19288 + 12.0988i −0.140832 + 0.533655i
\(515\) −54.3626 24.8266i −2.39550 1.09399i
\(516\) −10.2444 + 3.63260i −0.450984 + 0.159916i
\(517\) −3.91534 + 3.39266i −0.172197 + 0.149209i
\(518\) 19.8457 + 11.9939i 0.871971 + 0.526982i
\(519\) −6.24127 1.83260i −0.273961 0.0804423i
\(520\) 36.8766 20.6826i 1.61714 0.906992i
\(521\) 17.1836 + 11.0432i 0.752826 + 0.483812i 0.859915 0.510438i \(-0.170517\pi\)
−0.107089 + 0.994249i \(0.534153\pi\)
\(522\) −2.67634 + 1.82619i −0.117140 + 0.0799302i
\(523\) 43.3988 + 6.23980i 1.89770 + 0.272847i 0.989370 0.145417i \(-0.0464525\pi\)
0.908325 + 0.418265i \(0.137362\pi\)
\(524\) 11.2492 19.8290i 0.491423 0.866232i
\(525\) −46.8874 + 6.74139i −2.04634 + 0.294219i
\(526\) −14.9487 12.2479i −0.651794 0.534035i
\(527\) 19.9437 23.0162i 0.868760 1.00260i
\(528\) 3.57765 10.8660i 0.155697 0.472881i
\(529\) −22.2195 + 5.94070i −0.966067 + 0.258291i
\(530\) −1.55587 4.80447i −0.0675827 0.208693i
\(531\) 9.51233 + 8.24248i 0.412800 + 0.357693i
\(532\) 36.6579 + 14.3549i 1.58932 + 0.622365i
\(533\) 34.2497 4.92436i 1.48352 0.213298i
\(534\) 16.3250 + 17.8223i 0.706454 + 0.771246i
\(535\) 1.52337 10.5953i 0.0658610 0.458073i
\(536\) 5.00290 13.8926i 0.216092 0.600069i
\(537\) −20.7343 13.3251i −0.894750 0.575021i
\(538\) −3.21329 + 27.7652i −0.138535 + 1.19704i
\(539\) 12.3901 42.1969i 0.533681 1.81755i
\(540\) −7.54466 1.77001i −0.324671 0.0761690i
\(541\) −33.0270 + 28.6181i −1.41994 + 1.23039i −0.485519 + 0.874226i \(0.661369\pi\)
−0.934425 + 0.356161i \(0.884085\pi\)
\(542\) −0.587958 21.3118i −0.0252549 0.915422i
\(543\) 6.85585 15.0122i 0.294213 0.644236i
\(544\) −27.3798 17.7859i −1.17390 0.762562i
\(545\) −20.5729 + 6.04075i −0.881247 + 0.258757i
\(546\) 25.4353 4.37612i 1.08853 0.187281i
\(547\) −20.6949 + 9.45106i −0.884852 + 0.404098i −0.805394 0.592740i \(-0.798046\pi\)
−0.0794579 + 0.996838i \(0.525319\pi\)
\(548\) −3.47744 3.59224i −0.148549 0.153453i
\(549\) −2.15740 3.35697i −0.0920754 0.143272i
\(550\) 15.8024 37.2912i 0.673818 1.59010i
\(551\) 9.53337 0.406135
\(552\) 11.9000 + 6.51072i 0.506499 + 0.277115i
\(553\) −30.0957 −1.27980
\(554\) 5.51810 13.0218i 0.234442 0.553245i
\(555\) 7.26117 + 11.2986i 0.308219 + 0.479599i
\(556\) −9.35997 + 9.06084i −0.396951 + 0.384265i
\(557\) −27.5051 + 12.5612i −1.16543 + 0.532234i −0.901700 0.432362i \(-0.857680\pi\)
−0.263730 + 0.964597i \(0.584953\pi\)
\(558\) 7.35419 1.26528i 0.311328 0.0535637i
\(559\) 20.1172 5.90696i 0.850869 0.249838i
\(560\) −46.1884 56.9394i −1.95182 2.40613i
\(561\) 6.85713 15.0150i 0.289508 0.633934i
\(562\) 0.120609 + 4.37174i 0.00508758 + 0.184411i
\(563\) 10.3590 8.97613i 0.436580 0.378299i −0.408659 0.912687i \(-0.634003\pi\)
0.845239 + 0.534388i \(0.179458\pi\)
\(564\) −0.827494 + 3.52719i −0.0348438 + 0.148522i
\(565\) −9.85791 + 33.5730i −0.414726 + 1.41243i
\(566\) −0.492012 + 4.25135i −0.0206808 + 0.178697i
\(567\) −3.97952 2.55748i −0.167124 0.107404i
\(568\) 33.3101 + 11.9954i 1.39766 + 0.503315i
\(569\) −1.28912 + 8.96603i −0.0540427 + 0.375875i 0.944794 + 0.327664i \(0.106261\pi\)
−0.998837 + 0.0482117i \(0.984648\pi\)
\(570\) 15.4017 + 16.8142i 0.645105 + 0.704271i
\(571\) −4.69935 + 0.675665i −0.196662 + 0.0282757i −0.239942 0.970787i \(-0.577128\pi\)
0.0432800 + 0.999063i \(0.486219\pi\)
\(572\) −8.04626 + 20.5476i −0.336431 + 0.859138i
\(573\) −0.650896 0.564005i −0.0271916 0.0235616i
\(574\) −18.4858 57.0835i −0.771583 2.38262i
\(575\) 40.0814 + 26.4537i 1.67151 + 1.10319i
\(576\) −2.42742 7.62284i −0.101142 0.317618i
\(577\) −17.2308 + 19.8854i −0.717326 + 0.827839i −0.990983 0.133989i \(-0.957221\pi\)
0.273657 + 0.961827i \(0.411767\pi\)
\(578\) −17.8444 14.6204i −0.742228 0.608129i
\(579\) −12.9283 + 1.85881i −0.537281 + 0.0772494i
\(580\) −15.4425 8.76069i −0.641215 0.363768i
\(581\) 14.7825 + 2.12541i 0.613282 + 0.0881767i
\(582\) −6.53709 + 4.46057i −0.270971 + 0.184896i
\(583\) 2.21731 + 1.42498i 0.0918317 + 0.0590167i
\(584\) 8.90051 4.99194i 0.368306 0.206568i
\(585\) 14.3429 + 4.21147i 0.593008 + 0.174123i
\(586\) −24.9885 15.1020i −1.03226 0.623857i
\(587\) 18.0211 15.6154i 0.743811 0.644516i −0.198175 0.980167i \(-0.563502\pi\)
0.941987 + 0.335651i \(0.108956\pi\)
\(588\) −10.2784 28.9863i −0.423873 1.19537i
\(589\) −19.9726 9.12116i −0.822955 0.375831i
\(590\) −17.5990 + 66.6882i −0.724541 + 2.74551i
\(591\) 1.70826 0.501591i 0.0702684 0.0206327i
\(592\) −6.16610 + 12.4182i −0.253425 + 0.510385i
\(593\) 8.48474 + 18.5790i 0.348426 + 0.762947i 0.999991 + 0.00435385i \(0.00138588\pi\)
−0.651564 + 0.758594i \(0.725887\pi\)
\(594\) 3.63134 1.78100i 0.148996 0.0730753i
\(595\) −57.1951 88.9973i −2.34477 3.64853i
\(596\) −12.9521 1.13800i −0.530537 0.0466141i
\(597\) 4.34561i 0.177854i
\(598\) −22.2273 13.8054i −0.908941 0.564544i
\(599\) −12.2895 −0.502134 −0.251067 0.967970i \(-0.580781\pi\)
−0.251067 + 0.967970i \(0.580781\pi\)
\(600\) −6.33407 27.6057i −0.258587 1.12700i
\(601\) 19.4102 12.4742i 0.791758 0.508832i −0.0811587 0.996701i \(-0.525862\pi\)
0.872917 + 0.487869i \(0.162226\pi\)
\(602\) −16.0097 32.6428i −0.652508 1.33042i
\(603\) 4.74879 2.16870i 0.193385 0.0883162i
\(604\) −17.2267 32.8036i −0.700945 1.33476i
\(605\) −3.07920 10.4868i −0.125187 0.426349i
\(606\) −2.82356 + 10.6993i −0.114699 + 0.434631i
\(607\) −5.43576 + 11.9027i −0.220631 + 0.483114i −0.987288 0.158943i \(-0.949191\pi\)
0.766657 + 0.642057i \(0.221919\pi\)
\(608\) −6.74214 + 22.5528i −0.273430 + 0.914637i
\(609\) −7.09718 8.19058i −0.287592 0.331899i
\(610\) 11.3101 18.7143i 0.457935 0.757721i
\(611\) 1.96890 6.70545i 0.0796530 0.271273i
\(612\) −2.27025 11.3179i −0.0917695 0.457499i
\(613\) 8.89964 13.8481i 0.359453 0.559320i −0.613683 0.789553i \(-0.710313\pi\)
0.973135 + 0.230233i \(0.0739489\pi\)
\(614\) −20.5775 + 14.0410i −0.830441 + 0.566649i
\(615\) 4.94586 34.3992i 0.199436 1.38711i
\(616\) 37.4809 + 7.70923i 1.51015 + 0.310614i
\(617\) −2.84316 19.7746i −0.114461 0.796096i −0.963489 0.267748i \(-0.913721\pi\)
0.849028 0.528348i \(-0.177189\pi\)
\(618\) 13.8241 16.8724i 0.556086 0.678709i
\(619\) 2.49090 + 2.15838i 0.100118 + 0.0867526i 0.703482 0.710714i \(-0.251628\pi\)
−0.603364 + 0.797466i \(0.706173\pi\)
\(620\) 23.9704 + 33.1286i 0.962674 + 1.33047i
\(621\) 1.29503 + 4.61767i 0.0519677 + 0.185301i
\(622\) −1.49320 4.61095i −0.0598719 0.184882i
\(623\) −52.9416 + 61.0978i −2.12106 + 2.44783i
\(624\) 3.86456 + 14.9399i 0.154706 + 0.598075i
\(625\) −3.58719 24.9495i −0.143488 0.997978i
\(626\) −9.89999 + 9.06830i −0.395683 + 0.362442i
\(627\) −11.7795 1.69364i −0.470430 0.0676376i
\(628\) 7.95962 + 6.16266i 0.317623 + 0.245917i
\(629\) −10.8159 + 16.8299i −0.431260 + 0.671053i
\(630\) 2.98005 25.7498i 0.118728 1.02590i
\(631\) −11.8405 3.47668i −0.471362 0.138404i 0.0374203 0.999300i \(-0.488086\pi\)
−0.508782 + 0.860895i \(0.669904\pi\)
\(632\) −1.48726 17.9332i −0.0591599 0.713343i
\(633\) −1.16794 1.34788i −0.0464216 0.0535734i
\(634\) 21.8778 0.603571i 0.868877 0.0239709i
\(635\) 13.8771 + 6.33744i 0.550695 + 0.251494i
\(636\) 1.84039 0.101624i 0.0729764 0.00402966i
\(637\) 16.7136 + 56.9213i 0.662217 + 2.25530i
\(638\) 9.13212 1.57117i 0.361544 0.0622033i
\(639\) 5.19985 + 11.3861i 0.205703 + 0.450427i
\(640\) 31.6461 30.3362i 1.25092 1.19914i
\(641\) −1.39083 + 0.893830i −0.0549344 + 0.0353042i −0.567820 0.823153i \(-0.692213\pi\)
0.512885 + 0.858457i \(0.328577\pi\)
\(642\) 3.59719 + 1.52434i 0.141970 + 0.0601608i
\(643\) 44.2973i 1.74691i 0.486901 + 0.873457i \(0.338127\pi\)
−0.486901 + 0.873457i \(0.661873\pi\)
\(644\) −17.0575 + 42.0447i −0.672159 + 1.65679i
\(645\) 21.0581i 0.829161i
\(646\) −13.2521 + 31.2729i −0.521398 + 1.23042i
\(647\) 0.776826 0.499236i 0.0305402 0.0196270i −0.525282 0.850928i \(-0.676040\pi\)
0.555822 + 0.831301i \(0.312404\pi\)
\(648\) 1.32727 2.49767i 0.0521402 0.0981177i
\(649\) −14.9537 32.7441i −0.586985 1.28532i
\(650\) 9.26362 + 53.8429i 0.363349 + 2.11189i
\(651\) 7.03227 + 23.9497i 0.275616 + 0.938663i
\(652\) −0.864987 15.6648i −0.0338755 0.613479i
\(653\) 11.0621 + 5.05191i 0.432895 + 0.197696i 0.619931 0.784657i \(-0.287161\pi\)
−0.187036 + 0.982353i \(0.559888\pi\)
\(654\) −0.215817 7.82275i −0.00843910 0.305894i
\(655\) 28.9236 + 33.3796i 1.13014 + 1.30425i
\(656\) 33.1009 13.8361i 1.29237 0.540209i
\(657\) 3.46180 + 1.01648i 0.135058 + 0.0396566i
\(658\) −12.0383 1.39320i −0.469300 0.0543125i
\(659\) −17.6598 + 27.4793i −0.687930 + 1.07044i 0.305071 + 0.952330i \(0.401320\pi\)
−0.993001 + 0.118110i \(0.962316\pi\)
\(660\) 17.5246 + 13.5682i 0.682143 + 0.528143i
\(661\) 41.8985 + 6.02410i 1.62966 + 0.234310i 0.895629 0.444801i \(-0.146726\pi\)
0.734035 + 0.679112i \(0.237635\pi\)
\(662\) −7.78067 8.49427i −0.302404 0.330139i
\(663\) 3.16887 + 22.0400i 0.123069 + 0.855962i
\(664\) −0.535952 + 8.91352i −0.0207990 + 0.345912i
\(665\) −49.9471 + 57.6421i −1.93687 + 2.23526i
\(666\) −4.66351 + 1.51022i −0.180707 + 0.0585199i
\(667\) −0.133749 + 10.9866i −0.00517878 + 0.425404i
\(668\) 6.57337 4.75621i 0.254331 0.184023i
\(669\) −9.76184 8.45868i −0.377414 0.327031i
\(670\) 22.1283 + 18.1304i 0.854892 + 0.700439i
\(671\) 1.62416 + 11.2963i 0.0627001 + 0.436089i
\(672\) 24.3955 10.9971i 0.941075 0.424222i
\(673\) −5.60480 + 38.9822i −0.216049 + 1.50265i 0.536377 + 0.843978i \(0.319792\pi\)
−0.752426 + 0.658676i \(0.771117\pi\)
\(674\) 23.4270 + 34.3330i 0.902376 + 1.32246i
\(675\) 5.41383 8.42408i 0.208378 0.324243i
\(676\) −0.740855 3.69339i −0.0284944 0.142054i
\(677\) −4.17719 + 14.2262i −0.160542 + 0.546758i 0.839452 + 0.543434i \(0.182876\pi\)
−0.999994 + 0.00332365i \(0.998942\pi\)
\(678\) −10.9298 6.60552i −0.419757 0.253683i
\(679\) −17.3352 20.0059i −0.665265 0.767757i
\(680\) 50.2045 38.4790i 1.92526 1.47560i
\(681\) −4.48092 + 9.81185i −0.171709 + 0.375991i
\(682\) −20.6352 5.44563i −0.790161 0.208524i
\(683\) 11.7158 + 39.9003i 0.448292 + 1.52674i 0.805431 + 0.592690i \(0.201934\pi\)
−0.357139 + 0.934051i \(0.616248\pi\)
\(684\) −7.36810 + 3.86933i −0.281727 + 0.147948i
\(685\) 8.81092 4.02381i 0.336648 0.153742i
\(686\) 50.3174 24.6783i 1.92113 0.942221i
\(687\) −13.1190 + 8.43107i −0.500521 + 0.321665i
\(688\) 18.6598 11.1529i 0.711396 0.425199i
\(689\) −3.55545 −0.135452
\(690\) −19.5935 + 17.5136i −0.745911 + 0.666732i
\(691\) 40.6448i 1.54620i −0.634284 0.773100i \(-0.718705\pi\)
0.634284 0.773100i \(-0.281295\pi\)
\(692\) 12.9596 + 1.13866i 0.492650 + 0.0432852i
\(693\) 7.31427 + 11.3812i 0.277846 + 0.432337i
\(694\) 14.9900 + 30.5636i 0.569011 + 1.16018i
\(695\) −10.4845 22.9578i −0.397700 0.870841i
\(696\) 4.52981 4.63377i 0.171702 0.175642i
\(697\) 49.6697 14.5843i 1.88137 0.552421i
\(698\) −39.7776 10.4973i −1.50561 0.397330i
\(699\) −19.4932 8.90224i −0.737300 0.336714i
\(700\) 89.2917 31.6623i 3.37491 1.19672i
\(701\) −26.8320 + 23.2501i −1.01343 + 0.878142i −0.992574 0.121640i \(-0.961185\pi\)
−0.0208560 + 0.999782i \(0.506639\pi\)
\(702\) −2.82199 + 4.66940i −0.106509 + 0.176235i
\(703\) 13.8391 + 4.06353i 0.521953 + 0.153259i
\(704\) −2.74150 + 22.7147i −0.103324 + 0.856094i
\(705\) −5.90479 3.79478i −0.222387 0.142920i
\(706\) −28.6199 41.9434i −1.07713 1.57856i
\(707\) −36.6372 5.26763i −1.37788 0.198110i
\(708\) −21.8952 12.4214i −0.822873 0.466824i
\(709\) −32.1045 + 4.61593i −1.20571 + 0.173355i −0.715729 0.698378i \(-0.753906\pi\)
−0.489982 + 0.871733i \(0.662996\pi\)
\(710\) −43.4710 + 53.0567i −1.63144 + 1.99118i
\(711\) 4.16629 4.80815i 0.156248 0.180320i
\(712\) −39.0227 28.5271i −1.46244 1.06910i
\(713\) 10.7918 22.8892i 0.404156 0.857207i
\(714\) 36.7337 11.8958i 1.37473 0.445188i
\(715\) −32.3097 27.9965i −1.20831 1.04701i
\(716\) 45.9000 + 17.9740i 1.71536 + 0.671721i
\(717\) 14.4881 2.08307i 0.541067 0.0777936i
\(718\) −13.8961 + 12.7287i −0.518596 + 0.475029i
\(719\) 3.88186 26.9989i 0.144769 1.00689i −0.779842 0.625977i \(-0.784701\pi\)
0.924611 0.380913i \(-0.124390\pi\)
\(720\) 15.4908 + 0.503233i 0.577310 + 0.0187544i
\(721\) 61.3792 + 39.4460i 2.28588 + 1.46905i
\(722\) −2.36690 0.273924i −0.0880870 0.0101944i
\(723\) 1.85417 6.31473i 0.0689574 0.234848i
\(724\) −7.53894 + 32.1347i −0.280183 + 1.19428i
\(725\) 17.3383 15.0237i 0.643928 0.557967i
\(726\) 3.98755 0.110010i 0.147992 0.00408285i
\(727\) −14.5105 + 31.7736i −0.538166 + 1.17842i 0.423927 + 0.905696i \(0.360651\pi\)
−0.962093 + 0.272723i \(0.912076\pi\)
\(728\) −48.1557 + 18.5861i −1.78477 + 0.688847i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) 3.35226 + 19.4843i 0.124073 + 0.721147i
\(731\) 28.5327 13.0304i 1.05532 0.481948i
\(732\) 5.55097 + 5.73422i 0.205170 + 0.211943i
\(733\) −7.90865 12.3061i −0.292113 0.454536i 0.663917 0.747806i \(-0.268893\pi\)
−0.956030 + 0.293270i \(0.905256\pi\)
\(734\) −6.28624 2.66384i −0.232030 0.0983242i
\(735\) 59.5833 2.19776
\(736\) −25.8962 8.08632i −0.954545 0.298066i
\(737\) −14.9305 −0.549973
\(738\) 11.6789 + 4.94900i 0.429905 + 0.182175i
\(739\) −12.7147 19.7844i −0.467717 0.727782i 0.524621 0.851336i \(-0.324207\pi\)
−0.992338 + 0.123554i \(0.960571\pi\)
\(740\) −18.6829 19.2997i −0.686798 0.709472i
\(741\) 14.6026 6.66880i 0.536441 0.244985i
\(742\) 1.04539 + 6.07612i 0.0383775 + 0.223062i
\(743\) −0.581347 + 0.170699i −0.0213275 + 0.00626233i −0.292379 0.956303i \(-0.594447\pi\)
0.271051 + 0.962565i \(0.412629\pi\)
\(744\) −13.9234 + 5.37387i −0.510458 + 0.197015i
\(745\) 10.4642 22.9134i 0.383378 0.839481i
\(746\) 24.6753 0.680749i 0.903426 0.0249240i
\(747\) −2.38597 + 2.06746i −0.0872982 + 0.0756443i
\(748\) −7.54035 + 32.1407i −0.275702 + 1.17518i
\(749\) −3.68173 + 12.5388i −0.134527 + 0.458158i
\(750\) 27.2917 + 3.15849i 0.996551 + 0.115332i
\(751\) −12.5204 8.04634i −0.456874 0.293615i 0.291890 0.956452i \(-0.405716\pi\)
−0.748764 + 0.662837i \(0.769352\pi\)
\(752\) 0.235266 7.24210i 0.00857925 0.264092i
\(753\) 0.685317 4.76648i 0.0249743 0.173700i
\(754\) −9.21732 + 8.44298i −0.335675 + 0.307475i
\(755\) 71.0527 10.2158i 2.58587 0.371793i
\(756\) 8.80957 + 3.44975i 0.320401 + 0.125466i
\(757\) 5.95055 + 5.15618i 0.216277 + 0.187405i 0.756261 0.654271i \(-0.227024\pi\)
−0.539984 + 0.841675i \(0.681570\pi\)
\(758\) −1.06699 + 0.345531i −0.0387547 + 0.0125502i
\(759\) 2.11708 13.5515i 0.0768452 0.491887i
\(760\) −36.8155 26.9135i −1.33544 0.976257i
\(761\) 23.5702 27.2015i 0.854421 0.986054i −0.145574 0.989347i \(-0.546503\pi\)
0.999995 + 0.00329339i \(0.00104832\pi\)
\(762\) −3.52886 + 4.30700i −0.127837 + 0.156026i
\(763\) 25.9102 3.72532i 0.938012 0.134866i
\(764\) 1.49821 + 0.849953i 0.0542035 + 0.0307502i
\(765\) 22.1362 + 3.18270i 0.800336 + 0.115071i
\(766\) 18.5252 + 27.1492i 0.669342 + 0.980940i
\(767\) 40.8497 + 26.2525i 1.47500 + 0.947922i
\(768\) 7.75841 + 13.9931i 0.279958 + 0.504933i
\(769\) 45.7962 + 13.4470i 1.65145 + 0.484910i 0.969214 0.246220i \(-0.0791886\pi\)
0.682238 + 0.731130i \(0.261007\pi\)
\(770\) −38.3451 + 63.4477i −1.38186 + 2.28649i
\(771\) 6.68690 5.79423i 0.240823 0.208674i
\(772\) 24.6204 8.73027i 0.886108 0.314209i
\(773\) 14.2275 + 6.49748i 0.511728 + 0.233698i 0.654507 0.756056i \(-0.272876\pi\)