Properties

Label 552.2.bb.a.13.16
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 13.16
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.731481 + 1.21035i) q^{2} +(0.540641 - 0.841254i) q^{3} +(-0.929871 - 1.77069i) q^{4} +(3.52460 + 1.60963i) q^{5} +(0.622739 + 1.26972i) q^{6} +(4.53885 + 1.33273i) q^{7} +(2.82333 + 0.169761i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-0.731481 + 1.21035i) q^{2} +(0.540641 - 0.841254i) q^{3} +(-0.929871 - 1.77069i) q^{4} +(3.52460 + 1.60963i) q^{5} +(0.622739 + 1.26972i) q^{6} +(4.53885 + 1.33273i) q^{7} +(2.82333 + 0.169761i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(-4.52639 + 3.08857i) q^{10} +(-2.16140 - 1.87287i) q^{11} +(-1.99232 - 0.175050i) q^{12} +(1.08690 + 3.70164i) q^{13} +(-4.93314 + 4.51871i) q^{14} +(3.25965 - 2.09485i) q^{15} +(-2.27068 + 3.29302i) q^{16} +(-0.821395 - 5.71293i) q^{17} +(1.40484 + 0.162583i) q^{18} +(-4.11880 - 0.592194i) q^{19} +(-0.427267 - 7.73772i) 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} +(-5.27531 - 1.39216i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.86070 - 9.27616i) q^{28} +(-2.26772 + 0.326049i) q^{29} +(0.151119 + 5.47765i) q^{30} +(-4.43896 + 2.85275i) q^{31} +(-2.32474 - 5.15709i) q^{32} +(-2.74410 + 0.805740i) q^{33} +(7.51545 + 3.18473i) q^{34} +(13.8524 + 12.0032i) q^{35} +(-1.22439 + 1.58141i) q^{36} +(-3.15297 + 1.43991i) q^{37} +(3.72958 - 4.55199i) q^{38} +(3.70164 + 1.08690i) q^{39} +(9.67785 + 5.14286i) q^{40} +(-3.72589 + 8.15855i) q^{41} +(1.13432 + 6.59302i) q^{42} +(2.93821 - 4.57195i) q^{43} +(-1.30644 + 5.56870i) q^{44} -3.87475i q^{45} +(5.29822 + 4.23425i) q^{46} -1.81148 q^{47} +(1.54265 + 3.69056i) q^{48} +(12.9362 + 8.31361i) q^{49} +(-13.9565 + 2.40120i) q^{50} +(-5.25010 - 2.39764i) q^{51} +(5.54378 - 5.36661i) q^{52} +(-0.259645 + 0.884268i) q^{53} +(0.896286 - 1.09392i) q^{54} +(-4.60346 - 10.0802i) q^{55} +(12.5884 + 4.53324i) q^{56} +(-2.72497 + 3.14479i) q^{57} +(1.26416 - 2.98322i) q^{58} +(-3.54606 - 12.0768i) q^{59} +(-6.74038 - 3.82389i) q^{60} +(2.15740 + 3.35697i) q^{61} +(-0.205792 - 7.45941i) q^{62} +(-0.673216 - 4.68232i) q^{63} +(7.94236 + 0.958583i) q^{64} +(-2.12739 + 14.7963i) q^{65} +(1.03203 - 3.91069i) 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} +(-1.01843 - 2.63871i) q^{72} +(-0.513465 + 3.57123i) q^{73} +(0.563545 - 4.86944i) q^{74} +(9.91180 - 1.42510i) q^{75} +(2.78136 + 7.84377i) q^{76} +(-7.31427 - 11.3812i) q^{77} +(-4.02320 + 3.68521i) q^{78} +(-6.10439 + 1.79241i) q^{79} +(-13.3038 + 7.95164i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(-7.14925 - 10.4774i) q^{82} +(-2.87180 + 1.31150i) q^{83} +(-8.80957 - 3.44975i) q^{84} +(6.30062 - 21.4579i) q^{85} +(3.38439 + 6.90055i) q^{86} +(-0.951733 + 2.08400i) q^{87} +(-5.78441 - 5.65464i) q^{88} +(-14.3771 - 9.23959i) q^{89} +(4.68979 + 2.83431i) q^{90} +18.2497i q^{91} +(-9.00045 + 3.31539i) q^{92} +5.27660i q^{93} +(1.32506 - 2.19252i) q^{94} +(-13.5639 - 8.71699i) q^{95} +(-5.59527 - 0.832442i) q^{96} +(-2.32466 + 5.09029i) q^{97} +(-19.5249 + 9.57605i) 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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.731481 + 1.21035i −0.517235 + 0.855843i
\(3\) 0.540641 0.841254i 0.312139 0.485698i
\(4\) −0.929871 1.77069i −0.464935 0.885345i
\(5\) 3.52460 + 1.60963i 1.57625 + 0.719849i 0.995547 0.0942670i \(-0.0300507\pi\)
0.580702 + 0.814116i \(0.302778\pi\)
\(6\) 0.622739 + 1.26972i 0.254232 + 0.518362i
\(7\) 4.53885 + 1.33273i 1.71552 + 0.503723i 0.984012 0.178105i \(-0.0569966\pi\)
0.731512 + 0.681828i \(0.238815\pi\)
\(8\) 2.82333 + 0.169761i 0.998197 + 0.0600196i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) −4.52639 + 3.08857i −1.43137 + 0.976691i
\(11\) −2.16140 1.87287i −0.651688 0.564691i 0.265023 0.964242i \(-0.414620\pi\)
−0.916711 + 0.399551i \(0.869166\pi\)
\(12\) −1.99232 0.175050i −0.575135 0.0505325i
\(13\) 1.08690 + 3.70164i 0.301452 + 1.02665i 0.961358 + 0.275302i \(0.0887778\pi\)
−0.659906 + 0.751348i \(0.729404\pi\)
\(14\) −4.93314 + 4.51871i −1.31844 + 1.20768i
\(15\) 3.25965 2.09485i 0.841638 0.540888i
\(16\) −2.27068 + 3.29302i −0.567670 + 0.823256i
\(17\) −0.821395 5.71293i −0.199218 1.38559i −0.806562 0.591150i \(-0.798674\pi\)
0.607344 0.794439i \(-0.292235\pi\)
\(18\) 1.40484 + 0.162583i 0.331123 + 0.0383212i
\(19\) −4.11880 0.592194i −0.944917 0.135859i −0.347402 0.937716i \(-0.612936\pi\)
−0.597515 + 0.801858i \(0.703845\pi\)
\(20\) −0.427267 7.73772i −0.0955397 1.73021i
\(21\) 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
\(26\) −5.27531 1.39216i −1.03457 0.273024i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −1.86070 9.27616i −0.351639 1.75303i
\(29\) −2.26772 + 0.326049i −0.421105 + 0.0605458i −0.349610 0.936895i \(-0.613686\pi\)
−0.0714949 + 0.997441i \(0.522777\pi\)
\(30\) 0.151119 + 5.47765i 0.0275904 + 1.00008i
\(31\) −4.43896 + 2.85275i −0.797261 + 0.512368i −0.874721 0.484627i \(-0.838955\pi\)
0.0774600 + 0.996995i \(0.475319\pi\)
\(32\) −2.32474 5.15709i −0.410959 0.911654i
\(33\) −2.74410 + 0.805740i −0.477686 + 0.140261i
\(34\) 7.51545 + 3.18473i 1.28889 + 0.546176i
\(35\) 13.8524 + 12.0032i 2.34149 + 2.02891i
\(36\) −1.22439 + 1.58141i −0.204066 + 0.263569i
\(37\) −3.15297 + 1.43991i −0.518344 + 0.236720i −0.657369 0.753569i \(-0.728331\pi\)
0.139024 + 0.990289i \(0.455603\pi\)
\(38\) 3.72958 4.55199i 0.605018 0.738430i
\(39\) 3.70164 + 1.08690i 0.592737 + 0.174043i
\(40\) 9.67785 + 5.14286i 1.53020 + 0.813157i
\(41\) −3.72589 + 8.15855i −0.581886 + 1.27415i 0.358337 + 0.933592i \(0.383344\pi\)
−0.940223 + 0.340560i \(0.889383\pi\)
\(42\) 1.13432 + 6.59302i 0.175030 + 1.01733i
\(43\) 2.93821 4.57195i 0.448073 0.697216i −0.541587 0.840645i \(-0.682176\pi\)
0.989661 + 0.143429i \(0.0458128\pi\)
\(44\) −1.30644 + 5.56870i −0.196953 + 0.839513i
\(45\) 3.87475i 0.577614i
\(46\) 5.29822 + 4.23425i 0.781179 + 0.624307i
\(47\) −1.81148 −0.264232 −0.132116 0.991234i \(-0.542177\pi\)
−0.132116 + 0.991234i \(0.542177\pi\)
\(48\) 1.54265 + 3.69056i 0.222662 + 0.532687i
\(49\) 12.9362 + 8.31361i 1.84803 + 1.18766i
\(50\) −13.9565 + 2.40120i −1.97375 + 0.339581i
\(51\) −5.25010 2.39764i −0.735161 0.335737i
\(52\) 5.54378 5.36661i 0.768783 0.744214i
\(53\) −0.259645 + 0.884268i −0.0356649 + 0.121464i −0.975401 0.220436i \(-0.929252\pi\)
0.939737 + 0.341899i \(0.111070\pi\)
\(54\) 0.896286 1.09392i 0.121969 0.148864i
\(55\) −4.60346 10.0802i −0.620731 1.35921i
\(56\) 12.5884 + 4.53324i 1.68220 + 0.605780i
\(57\) −2.72497 + 3.14479i −0.360932 + 0.416537i
\(58\) 1.26416 2.98322i 0.165993 0.391717i
\(59\) −3.54606 12.0768i −0.461658 1.57226i −0.780942 0.624603i \(-0.785261\pi\)
0.319284 0.947659i \(-0.396557\pi\)
\(60\) −6.74038 3.82389i −0.870180 0.493662i
\(61\) 2.15740 + 3.35697i 0.276226 + 0.429816i 0.951453 0.307794i \(-0.0995906\pi\)
−0.675227 + 0.737610i \(0.735954\pi\)
\(62\) −0.205792 7.45941i −0.0261357 0.947345i
\(63\) −0.673216 4.68232i −0.0848172 0.589917i
\(64\) 7.94236 + 0.958583i 0.992795 + 0.119823i
\(65\) −2.12739 + 14.7963i −0.263870 + 1.83526i
\(66\) 1.03203 3.91069i 0.127035 0.481373i
\(67\) 3.94543 3.41874i 0.482011 0.417665i −0.379665 0.925124i \(-0.623961\pi\)
0.861676 + 0.507459i \(0.169415\pi\)
\(68\) −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 0.992422 + 0.122877i \(0.0392119\pi\)
−0.0196106 + 0.999808i \(0.506243\pi\)
\(72\) −1.01843 2.63871i −0.120023 0.310975i
\(73\) −0.513465 + 3.57123i −0.0600966 + 0.417981i 0.937459 + 0.348097i \(0.113172\pi\)
−0.997555 + 0.0698839i \(0.977737\pi\)
\(74\) 0.563545 4.86944i 0.0655108 0.566061i
\(75\) 9.91180 1.42510i 1.14452 0.164557i
\(76\) 2.78136 + 7.84377i 0.319044 + 0.899742i
\(77\) −7.31427 11.3812i −0.833538 1.29701i
\(78\) −4.02320 + 3.68521i −0.455538 + 0.417268i
\(79\) −6.10439 + 1.79241i −0.686797 + 0.201662i −0.606470 0.795107i \(-0.707415\pi\)
−0.0803276 + 0.996769i \(0.525597\pi\)
\(80\) −13.3038 + 7.95164i −1.48741 + 0.889020i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) −7.14925 10.4774i −0.789503 1.15704i
\(83\) −2.87180 + 1.31150i −0.315220 + 0.143956i −0.566742 0.823895i \(-0.691796\pi\)
0.251521 + 0.967852i \(0.419069\pi\)
\(84\) −8.80957 3.44975i −0.961203 0.376398i
\(85\) 6.30062 21.4579i 0.683398 2.32744i
\(86\) 3.38439 + 6.90055i 0.364948 + 0.744105i
\(87\) −0.951733 + 2.08400i −0.102036 + 0.223429i
\(88\) −5.78441 5.65464i −0.616621 0.602787i
\(89\) −14.3771 9.23959i −1.52397 0.979394i −0.991089 0.133203i \(-0.957474\pi\)
−0.532879 0.846192i \(-0.678890\pi\)
\(90\) 4.68979 + 2.83431i 0.494347 + 0.298762i
\(91\) 18.2497i 1.91309i
\(92\) −9.00045 + 3.31539i −0.938362 + 0.345654i
\(93\) 5.27660i 0.547158i
\(94\) 1.32506 2.19252i 0.136670 0.226141i
\(95\) −13.5639 8.71699i −1.39163 0.894344i
\(96\) −5.59527 0.832442i −0.571065 0.0849608i
\(97\) −2.32466 + 5.09029i −0.236033 + 0.516841i −0.990169 0.139878i \(-0.955329\pi\)
0.754135 + 0.656719i \(0.228056\pi\)
\(98\) −19.5249 + 9.57605i −1.97232 + 0.967327i
\(99\) −0.805740 + 2.74410i −0.0809800 + 0.275792i
\(100\) 7.30262 18.6486i 0.730262 1.86486i
\(101\) 7.11749 3.25045i 0.708217 0.323432i −0.0285370 0.999593i \(-0.509085\pi\)
0.736754 + 0.676161i \(0.236358\pi\)
\(102\) 6.74232 4.60060i 0.667589 0.455528i
\(103\) 10.1004 11.6565i 0.995223 1.14855i 0.00632081 0.999980i \(-0.497988\pi\)
0.988902 0.148568i \(-0.0474665\pi\)
\(104\) 2.44028 + 10.6355i 0.239289 + 1.04289i
\(105\) 17.5869 5.16399i 1.71631 0.503954i
\(106\) −0.880344 0.961085i −0.0855066 0.0933488i
\(107\) 1.49355 + 2.32401i 0.144387 + 0.224670i 0.905913 0.423464i \(-0.139186\pi\)
−0.761526 + 0.648134i \(0.775550\pi\)
\(108\) 0.668411 + 1.88500i 0.0643178 + 0.181384i
\(109\) −5.47730 + 0.787517i −0.524630 + 0.0754305i −0.399542 0.916715i \(-0.630831\pi\)
−0.125089 + 0.992146i \(0.539922\pi\)
\(110\) 15.5678 + 1.80168i 1.48433 + 0.171783i
\(111\) −0.493292 + 3.43092i −0.0468212 + 0.325648i
\(112\) −14.6950 + 11.9203i −1.38855 + 1.12637i
\(113\) 5.91361 + 6.82467i 0.556306 + 0.642011i 0.962341 0.271847i \(-0.0876343\pi\)
−0.406035 + 0.913858i \(0.633089\pi\)
\(114\) −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
\(118\) 17.2109 + 4.54198i 1.58440 + 0.418123i
\(119\) 3.88558 27.0248i 0.356191 2.47736i
\(120\) 9.55869 5.36109i 0.872585 0.489398i
\(121\) −0.401427 2.79199i −0.0364934 0.253817i
\(122\) −5.64119 + 0.155631i −0.510729 + 0.0140902i
\(123\) 4.84905 + 7.54526i 0.437224 + 0.680333i
\(124\) 9.17899 + 5.20733i 0.824298 + 0.467632i
\(125\) 5.47320 + 18.6400i 0.489538 + 1.66721i
\(126\) 6.15966 + 2.61020i 0.548747 + 0.232535i
\(127\) −2.57832 + 2.97554i −0.228789 + 0.264036i −0.858524 0.512774i \(-0.828618\pi\)
0.629735 + 0.776810i \(0.283163\pi\)
\(128\) −6.96990 + 8.91181i −0.616058 + 0.787701i
\(129\) −2.25765 4.94356i −0.198775 0.435257i
\(130\) −16.3525 13.3981i −1.43421 1.17509i
\(131\) 3.21142 10.9371i 0.280583 0.955577i −0.691781 0.722107i \(-0.743174\pi\)
0.972364 0.233470i \(-0.0750081\pi\)
\(132\) 3.97837 + 4.10971i 0.346273 + 0.357705i
\(133\) −17.9054 8.17711i −1.55259 0.709045i
\(134\) 1.25184 + 7.27608i 0.108143 + 0.628557i
\(135\) −3.25965 2.09485i −0.280546 0.180296i
\(136\) −1.34923 16.2689i −0.115696 1.39505i
\(137\) −2.49984 −0.213575 −0.106788 0.994282i \(-0.534057\pi\)
−0.106788 + 0.994282i \(0.534057\pi\)
\(138\) 6.42651 2.16793i 0.547061 0.184547i
\(139\) 6.51360i 0.552476i 0.961089 + 0.276238i \(0.0890879\pi\)
−0.961089 + 0.276238i \(0.910912\pi\)
\(140\) 8.37297 35.6898i 0.707645 3.01634i
\(141\) −0.979360 + 1.52391i −0.0824770 + 0.128337i
\(142\) −17.4457 + 3.00152i −1.46401 + 0.251882i
\(143\) 4.58345 10.0364i 0.383287 0.839282i
\(144\) 3.93872 + 0.697512i 0.328226 + 0.0581260i
\(145\) −8.51763 2.50100i −0.707351 0.207697i
\(146\) −3.94683 3.23376i −0.326642 0.267628i
\(147\) 13.9877 6.38797i 1.15369 0.526871i
\(148\) 5.48149 + 4.24399i 0.450575 + 0.348854i
\(149\) 4.91311 + 4.25724i 0.402498 + 0.348766i 0.832465 0.554078i \(-0.186929\pi\)
−0.429967 + 0.902845i \(0.641475\pi\)
\(150\) −5.52543 + 13.0391i −0.451149 + 1.06464i
\(151\) −17.7755 + 5.21935i −1.44655 + 0.424745i −0.908399 0.418104i \(-0.862695\pi\)
−0.538150 + 0.842849i \(0.680877\pi\)
\(152\) −11.5282 2.37117i −0.935059 0.192327i
\(153\) −4.85544 + 3.12040i −0.392539 + 0.252270i
\(154\) 19.1255 0.527639i 1.54117 0.0425184i
\(155\) −20.2374 + 2.90970i −1.62551 + 0.233713i
\(156\) −1.51749 7.56513i −0.121496 0.605695i
\(157\) −4.98201 0.716305i −0.397608 0.0571673i −0.0593890 0.998235i \(-0.518915\pi\)
−0.338219 + 0.941068i \(0.609824\pi\)
\(158\) 2.29581 8.69953i 0.182645 0.692097i
\(159\) 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 \(-0.627878\pi\)
0.855365 + 0.518026i \(0.173333\pi\)
\(164\) 17.9109 0.989013i 1.39860 0.0772290i
\(165\) −10.9688 1.57708i −0.853920 0.122775i
\(166\) 0.513290 4.43520i 0.0398391 0.344239i
\(167\) 0.577344 + 4.01552i 0.0446762 + 0.310730i 0.999890 + 0.0148142i \(0.00471567\pi\)
−0.955214 + 0.295916i \(0.904375\pi\)
\(168\) 10.6194 8.13919i 0.819306 0.627952i
\(169\) −1.58449 + 1.01829i −0.121883 + 0.0783298i
\(170\) 21.3627 + 23.3220i 1.63845 + 1.78872i
\(171\) 1.17233 + 3.99259i 0.0896504 + 0.305321i
\(172\) −10.8277 0.951341i −0.825601 0.0725390i
\(173\) −4.91597 4.25971i −0.373754 0.323860i 0.447647 0.894210i \(-0.352262\pi\)
−0.821402 + 0.570350i \(0.806807\pi\)
\(174\) −1.82619 2.67634i −0.138443 0.202892i
\(175\) 19.6780 + 43.0889i 1.48752 + 3.25721i
\(176\) 11.0753 2.86487i 0.834829 0.215948i
\(177\) −12.0768 3.54606i −0.907746 0.266538i
\(178\) 21.6997 10.6426i 1.62646 0.797700i
\(179\) −22.4196 10.2387i −1.67572 0.765275i −0.999594 0.0284874i \(-0.990931\pi\)
−0.676124 0.736788i \(-0.736342\pi\)
\(180\) −6.86099 + 3.60302i −0.511388 + 0.268553i
\(181\) −8.92253 + 13.8837i −0.663206 + 1.03197i 0.332827 + 0.942988i \(0.391997\pi\)
−0.996033 + 0.0889812i \(0.971639\pi\)
\(182\) −22.0885 13.3493i −1.63731 0.989518i
\(183\) 3.99044 0.294982
\(184\) 2.57089 13.3188i 0.189529 0.981875i
\(185\) −13.4307 −0.987442
\(186\) −6.38651 3.85974i −0.468282 0.283010i
\(187\) −8.92419 + 13.8863i −0.652601 + 1.01547i
\(188\) 1.68444 + 3.20757i 0.122851 + 0.233936i
\(189\) −4.30298 1.96511i −0.312996 0.142940i
\(190\) 20.4723 10.0407i 1.48522 0.728428i
\(191\) 0.826372 + 0.242645i 0.0597942 + 0.0175572i 0.311493 0.950248i \(-0.399171\pi\)
−0.251699 + 0.967806i \(0.580989\pi\)
\(192\) 5.10038 6.16329i 0.368088 0.444797i
\(193\) 5.42583 + 11.8809i 0.390560 + 0.855207i 0.998141 + 0.0609491i \(0.0194127\pi\)
−0.607581 + 0.794258i \(0.707860\pi\)
\(194\) −4.46057 6.53709i −0.320250 0.469336i
\(195\) 11.2973 + 9.78916i 0.809016 + 0.701016i
\(196\) 2.69180 30.6366i 0.192271 2.18833i
\(197\) 0.501591 + 1.70826i 0.0357368 + 0.121709i 0.975430 0.220311i \(-0.0707073\pi\)
−0.939693 + 0.342020i \(0.888889\pi\)
\(198\) −2.73192 2.98248i −0.194149 0.211956i
\(199\) 3.65576 2.34942i 0.259150 0.166546i −0.404614 0.914488i \(-0.632594\pi\)
0.663764 + 0.747942i \(0.268958\pi\)
\(200\) 17.2295 + 22.4798i 1.21831 + 1.58956i
\(201\) −0.742963 5.16742i −0.0524045 0.364482i
\(202\) −1.27215 + 10.9923i −0.0895078 + 0.773413i
\(203\) −10.7274 1.54236i −0.752915 0.108253i
\(204\) 0.636439 + 11.5258i 0.0445596 + 0.806967i
\(205\) −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
\(210\) −6.61430 + 25.0636i −0.456430 + 1.72955i
\(211\) −1.76535 0.253819i −0.121532 0.0174736i 0.0812806 0.996691i \(-0.474099\pi\)
−0.202812 + 0.979218i \(0.565008\pi\)
\(212\) 1.80720 0.362505i 0.124119 0.0248970i
\(213\) 12.3898 1.78139i 0.848938 0.122059i
\(214\) −3.90536 + 0.107742i −0.266965 + 0.00736510i
\(215\) 17.7152 11.3849i 1.20817 0.776441i
\(216\) −2.77043 0.569835i −0.188504 0.0387723i
\(217\) −23.9497 + 7.03227i −1.62581 + 0.477382i
\(218\) 3.05338 7.20548i 0.206801 0.488017i
\(219\) 2.72671 + 2.36271i 0.184254 + 0.159657i
\(220\) −13.5682 + 17.5246i −0.914770 + 1.18151i
\(221\) 20.2544 9.24989i 1.36246 0.622215i
\(222\) −3.79176 3.10670i −0.254486 0.208508i
\(223\) 12.3935 + 3.63907i 0.829933 + 0.243690i 0.668988 0.743273i \(-0.266728\pi\)
0.160945 + 0.986963i \(0.448546\pi\)
\(224\) −3.67863 26.5055i −0.245789 1.77097i
\(225\) 4.15985 9.10880i 0.277323 0.607253i
\(226\) −12.5859 + 2.16539i −0.837202 + 0.144040i
\(227\) 5.83168 9.07428i 0.387062 0.602281i −0.591976 0.805955i \(-0.701652\pi\)
0.979039 + 0.203675i \(0.0652885\pi\)
\(228\) 8.10232 + 1.90084i 0.536589 + 0.125886i
\(229\) 15.5946i 1.03052i −0.857034 0.515260i \(-0.827695\pi\)
0.857034 0.515260i \(-0.172305\pi\)
\(230\) 11.8585 + 23.4522i 0.781927 + 1.54639i
\(231\) −13.5289 −0.890136
\(232\) −6.45787 + 0.535573i −0.423980 + 0.0351621i
\(233\) 18.0279 + 11.5858i 1.18104 + 0.759011i 0.975578 0.219653i \(-0.0704925\pi\)
0.205466 + 0.978664i \(0.434129\pi\)
\(234\) 0.925092 + 5.37691i 0.0604752 + 0.351500i
\(235\) −6.38475 2.91582i −0.416495 0.190207i
\(236\) −18.0868 + 17.5088i −1.17735 + 1.13973i
\(237\) −1.79241 + 6.10439i −0.116430 + 0.396523i
\(238\) 29.8671 + 24.4710i 1.93600 + 1.58622i
\(239\) −6.08045 13.3143i −0.393312 0.861232i −0.997905 0.0646979i \(-0.979392\pi\)
0.604593 0.796534i \(-0.293336\pi\)
\(240\) −0.503233 + 15.4908i −0.0324835 + 0.999930i
\(241\) 4.30985 4.97383i 0.277622 0.320393i −0.599765 0.800176i \(-0.704739\pi\)
0.877387 + 0.479783i \(0.159285\pi\)
\(242\) 3.67290 + 1.55642i 0.236103 + 0.100051i
\(243\) 0.281733 + 0.959493i 0.0180732 + 0.0615515i
\(244\) 3.93806 6.94163i 0.252108 0.444392i
\(245\) 32.2132 + 50.1247i 2.05802 + 3.20235i
\(246\) −12.6794 + 0.349802i −0.808406 + 0.0223026i
\(247\) −2.28463 15.8900i −0.145368 1.01105i
\(248\) −13.0169 + 7.30068i −0.826576 + 0.463593i
\(249\) −0.449302 + 3.12496i −0.0284733 + 0.198036i
\(250\) −26.5644 7.01035i −1.68008 0.443374i
\(251\) −3.63931 + 3.15348i −0.229711 + 0.199046i −0.762110 0.647448i \(-0.775836\pi\)
0.532398 + 0.846494i \(0.321291\pi\)
\(252\) −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
\(256\) −5.68802 14.9548i −0.355501 0.934676i
\(257\) 1.25921 8.75797i 0.0785471 0.546307i −0.912111 0.409942i \(-0.865549\pi\)
0.990659 0.136365i \(-0.0435421\pi\)
\(258\) 7.63485 + 0.883588i 0.475325 + 0.0550098i
\(259\) −16.2298 + 2.33350i −1.00847 + 0.144997i
\(260\) 28.1779 9.99171i 1.74752 0.619660i
\(261\) 1.23863 + 1.92735i 0.0766693 + 0.119300i
\(262\) 10.8886 + 11.8872i 0.672697 + 0.734393i
\(263\) −13.1117 + 3.84993i −0.808500 + 0.237397i −0.659757 0.751479i \(-0.729341\pi\)
−0.148743 + 0.988876i \(0.547523\pi\)
\(264\) −7.88428 + 1.80903i −0.485244 + 0.111338i
\(265\) −2.33849 + 2.69876i −0.143652 + 0.165783i
\(266\) 22.9946 15.6903i 1.40989 0.962032i
\(267\) −15.5457 + 7.09947i −0.951380 + 0.434481i
\(268\) −9.72226 3.80715i −0.593882 0.232559i
\(269\) −5.56815 + 18.9634i −0.339496 + 1.15622i 0.596030 + 0.802962i \(0.296744\pi\)
−0.935527 + 0.353256i \(0.885074\pi\)
\(270\) 4.91987 2.41296i 0.299413 0.146848i
\(271\) −6.26258 + 13.7131i −0.380425 + 0.833014i 0.618461 + 0.785816i \(0.287757\pi\)
−0.998886 + 0.0471983i \(0.984971\pi\)
\(272\) 20.6779 + 10.2674i 1.25378 + 0.622550i
\(273\) 15.3526 + 9.86654i 0.929184 + 0.597150i
\(274\) 1.82858 3.02566i 0.110469 0.182787i
\(275\) 28.6387i 1.72698i
\(276\) −2.07693 + 9.36410i −0.125016 + 0.563653i
\(277\) 10.0004i 0.600868i −0.953803 0.300434i \(-0.902868\pi\)
0.953803 0.300434i \(-0.0971315\pi\)
\(278\) −7.88371 4.76458i −0.472833 0.285760i
\(279\) 4.43896 + 2.85275i 0.265754 + 0.170789i
\(280\) 37.0723 + 36.2406i 2.21549 + 2.16579i
\(281\) 1.28466 2.81301i 0.0766362 0.167810i −0.867436 0.497549i \(-0.834234\pi\)
0.944072 + 0.329739i \(0.106961\pi\)
\(282\) −1.12808 2.30008i −0.0671761 0.136968i
\(283\) −0.852585 + 2.90364i −0.0506809 + 0.172603i −0.980944 0.194289i \(-0.937760\pi\)
0.930263 + 0.366892i \(0.119578\pi\)
\(284\) 9.12835 23.3109i 0.541668 1.38325i
\(285\) −14.6664 + 6.69792i −0.868762 + 0.396750i
\(286\) 8.79475 + 12.8890i 0.520044 + 0.762140i
\(287\) −27.7844 + 32.0649i −1.64006 + 1.89273i
\(288\) −3.72533 + 4.25699i −0.219517 + 0.250845i
\(289\) −15.6515 + 4.59569i −0.920675 + 0.270335i
\(290\) 9.25756 8.47984i 0.543623 0.497953i
\(291\) 3.02542 + 4.70765i 0.177353 + 0.275967i
\(292\) 6.80099 2.41159i 0.397998 0.141128i
\(293\) 20.4356 2.93820i 1.19386 0.171651i 0.483407 0.875396i \(-0.339399\pi\)
0.710453 + 0.703744i \(0.248490\pi\)
\(294\) −2.50009 + 21.6026i −0.145808 + 1.25989i
\(295\) 6.94070 48.2737i 0.404103 2.81060i
\(296\) −9.14630 + 3.53009i −0.531618 + 0.205182i
\(297\) 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
\(302\) 6.68521 25.3323i 0.384691 1.45771i
\(303\) 1.11355 7.74494i 0.0639720 0.444935i
\(304\) 11.3026 12.2186i 0.648247 0.700786i
\(305\) 2.20047 + 15.3046i 0.125999 + 0.876339i
\(306\) −0.225101 8.15928i −0.0128682 0.466435i
\(307\) 9.52345 + 14.8188i 0.543532 + 0.845752i 0.999010 0.0444952i \(-0.0141679\pi\)
−0.455478 + 0.890247i \(0.650532\pi\)
\(308\) −13.3513 + 23.5344i −0.760760 + 1.34100i
\(309\) −4.34537 14.7990i −0.247200 0.841885i
\(310\) 11.2816 26.6227i 0.640749 1.51207i
\(311\) −2.24430 + 2.59005i −0.127262 + 0.146869i −0.815805 0.578328i \(-0.803706\pi\)
0.688542 + 0.725196i \(0.258251\pi\)
\(312\) 10.2664 + 3.69707i 0.581222 + 0.209305i
\(313\) −3.94364 8.63537i −0.222908 0.488100i 0.764828 0.644235i \(-0.222824\pi\)
−0.987736 + 0.156135i \(0.950097\pi\)
\(314\) 4.51122 5.50599i 0.254583 0.310721i
\(315\) 5.16399 17.5869i 0.290958 0.990911i
\(316\) 8.85009 + 9.14226i 0.497857 + 0.514292i
\(317\) −14.0773 6.42888i −0.790659 0.361082i −0.0211977 0.999775i \(-0.506748\pi\)
−0.769461 + 0.638693i \(0.779475\pi\)
\(318\) −1.28447 + 0.220991i −0.0720293 + 0.0123926i
\(319\) 5.51211 + 3.54242i 0.308619 + 0.198337i
\(320\) 26.4507 + 16.1629i 1.47864 + 0.903533i
\(321\) 2.76255 0.154191
\(322\) 18.4047 + 26.2797i 1.02565 + 1.46451i
\(323\) 24.0168i 1.33633i
\(324\) 1.94713 + 0.456805i 0.108174 + 0.0253781i
\(325\) −20.8861 + 32.4994i −1.15855 + 1.80274i
\(326\) 1.88099 + 10.9329i 0.104179 + 0.605517i
\(327\) −2.29875 + 5.03356i −0.127121 + 0.278357i
\(328\) −11.9044 + 22.4018i −0.657311 + 1.23693i
\(329\) −8.22204 2.41421i −0.453296 0.133100i
\(330\) 9.93228 12.1224i 0.546754 0.667318i
\(331\) 7.40922 3.38368i 0.407247 0.185984i −0.201249 0.979540i \(-0.564500\pi\)
0.608497 + 0.793556i \(0.291773\pi\)
\(332\) 4.99267 + 3.86553i 0.274008 + 0.212148i
\(333\) 2.61958 + 2.26988i 0.143552 + 0.124389i
\(334\) −5.28248 2.23849i −0.289044 0.122485i
\(335\) 19.4090 5.69899i 1.06043 0.311369i
\(336\) 2.08333 + 18.8068i 0.113655 + 1.02600i
\(337\) 24.7247 15.8896i 1.34684 0.865562i 0.349394 0.936976i \(-0.386388\pi\)
0.997447 + 0.0714141i \(0.0227512\pi\)
\(338\) −0.0734575 2.66263i −0.00399556 0.144828i
\(339\) 8.93842 1.28515i 0.485468 0.0697998i
\(340\) −43.8541 + 8.79667i −2.37832 + 0.477066i
\(341\) 14.9372 + 2.14765i 0.808895 + 0.116302i
\(342\) −5.68996 1.50158i −0.307678 0.0811962i
\(343\) 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 \(-0.950874\pi\)
0.0115338 + 0.999933i \(0.496329\pi\)
\(348\) 4.57511 0.252632i 0.245252 0.0135425i
\(349\) 28.7939 + 4.13994i 1.54130 + 0.221606i 0.859961 0.510360i \(-0.170488\pi\)
0.681341 + 0.731966i \(0.261397\pi\)
\(350\) −66.5465 7.70149i −3.55706 0.411662i
\(351\) −0.549038 3.81864i −0.0293055 0.203824i
\(352\) −4.63386 + 15.5005i −0.246985 + 0.826179i
\(353\) −30.2053 + 19.4117i −1.60766 + 1.03318i −0.644376 + 0.764709i \(0.722883\pi\)
−0.963287 + 0.268474i \(0.913481\pi\)
\(354\) 13.1259 12.0232i 0.697633 0.639025i
\(355\) 13.6644 + 46.5366i 0.725230 + 2.46991i
\(356\) −2.99161 + 34.0490i −0.158555 + 1.80459i
\(357\) −20.6340 17.8795i −1.09207 0.946282i
\(358\) 28.7918 19.6460i 1.52170 1.03833i
\(359\) −5.53547 12.1210i −0.292151 0.639721i 0.705464 0.708745i \(-0.250739\pi\)
−0.997615 + 0.0690247i \(0.978011\pi\)
\(360\) 0.657783 10.9397i 0.0346682 0.576573i
\(361\) −1.61658 0.474670i −0.0850830 0.0249826i
\(362\) −10.2774 20.9550i −0.540170 1.10137i
\(363\) −2.56580 1.17176i −0.134669 0.0615015i
\(364\) 32.3146 16.9699i 1.69374 0.889464i
\(365\) −7.55812 + 11.7607i −0.395610 + 0.615581i
\(366\) −2.91893 + 4.82981i −0.152575 + 0.252458i
\(367\) −4.82768 −0.252003 −0.126001 0.992030i \(-0.540214\pi\)
−0.126001 + 0.992030i \(0.540214\pi\)
\(368\) 14.2398 + 12.8541i 0.742300 + 0.670067i
\(369\) 8.96907 0.466911
\(370\) 9.82428 16.2557i 0.510740 0.845096i
\(371\) −2.35697 + 3.66752i −0.122368 + 0.190408i
\(372\) 9.34322 4.90656i 0.484424 0.254393i
\(373\) −15.8773 7.25094i −0.822097 0.375439i −0.0404668 0.999181i \(-0.512884\pi\)
−0.781631 + 0.623742i \(0.785612\pi\)
\(374\) −10.2794 20.9589i −0.531533 1.08376i
\(375\) 18.6400 + 5.47320i 0.962566 + 0.282635i
\(376\) −5.11440 0.307519i −0.263755 0.0158591i
\(377\) −3.67170 8.03990i −0.189102 0.414076i
\(378\) 5.52601 3.77066i 0.284227 0.193942i
\(379\) 0.599346 + 0.519336i 0.0307863 + 0.0266765i 0.670118 0.742255i \(-0.266243\pi\)
−0.639332 + 0.768931i \(0.720789\pi\)
\(380\) −2.82240 + 32.1231i −0.144786 + 1.64788i
\(381\) 1.10924 + 3.77772i 0.0568280 + 0.193538i
\(382\) −0.898159 + 0.822705i −0.0459538 + 0.0420933i
\(383\) 19.5513 12.5649i 0.999026 0.642035i 0.0644957 0.997918i \(-0.479456\pi\)
0.934531 + 0.355883i \(0.115820\pi\)
\(384\) 3.72888 + 10.6815i 0.190289 + 0.545090i
\(385\) −7.46030 51.8876i −0.380212 2.64443i
\(386\) −18.3489 2.12353i −0.933934 0.108085i
\(387\) −5.37937 0.773437i −0.273449 0.0393160i
\(388\) 11.1750 0.617066i 0.567322 0.0313268i
\(389\) 5.05561 4.38071i 0.256329 0.222111i −0.517211 0.855858i \(-0.673030\pi\)
0.773540 + 0.633747i \(0.218484\pi\)
\(390\) −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
\(394\) −2.43449 0.642463i −0.122648 0.0323668i
\(395\) −24.4006 3.50828i −1.22773 0.176521i
\(396\) 5.60818 1.12494i 0.281822 0.0565305i
\(397\) 39.0549 5.61525i 1.96011 0.281821i 0.960113 0.279612i \(-0.0902059\pi\)
0.999998 0.00220927i \(-0.000703233\pi\)
\(398\) 0.169483 + 6.14329i 0.00849542 + 0.307935i
\(399\) −16.5594 + 10.6421i −0.829006 + 0.532770i
\(400\) −39.8114 + 4.41011i −1.99057 + 0.220505i
\(401\) 6.09891 1.79080i 0.304565 0.0894284i −0.125879 0.992046i \(-0.540175\pi\)
0.430444 + 0.902617i \(0.358357\pi\)
\(402\) 6.79782 + 2.88063i 0.339045 + 0.143673i
\(403\) −15.3845 13.3308i −0.766359 0.664054i
\(404\) −12.3739 9.58037i −0.615624 0.476641i
\(405\) −3.52460 + 1.60963i −0.175139 + 0.0799832i
\(406\) 9.71367 11.8556i 0.482081 0.588385i
\(407\) 9.51160 + 2.79286i 0.471472 + 0.138437i
\(408\) −14.4157 7.66059i −0.713685 0.379256i
\(409\) 9.08619 19.8960i 0.449283 0.983792i −0.540518 0.841333i \(-0.681772\pi\)
0.989801 0.142460i \(-0.0455011\pi\)
\(410\) −8.33344 48.4364i −0.411559 2.39210i
\(411\) −1.35151 + 2.10300i −0.0666652 + 0.103733i
\(412\) −30.0321 7.04565i −1.47958 0.347114i
\(413\) 59.5406i 2.92980i
\(414\) 1.65066 6.57840i 0.0811253 0.323311i
\(415\) −12.2330 −0.600493
\(416\) 16.5629 14.2106i 0.812065 0.696731i
\(417\) 5.47959 + 3.52152i 0.268337 + 0.172450i
\(418\) −16.5864 + 2.85367i −0.811267 + 0.139578i
\(419\) −4.44688 2.03082i −0.217245 0.0992123i 0.303820 0.952729i \(-0.401738\pi\)
−0.521065 + 0.853517i \(0.674465\pi\)
\(420\) −25.4974 26.3391i −1.24415 1.28522i
\(421\) 6.50940 22.1690i 0.317249 1.08045i −0.634335 0.773058i \(-0.718726\pi\)
0.951583 0.307391i \(-0.0994559\pi\)
\(422\) 1.59853 1.95102i 0.0778150 0.0949740i
\(423\) 0.752516 + 1.64778i 0.0365886 + 0.0801178i
\(424\) −0.883176 + 2.45250i −0.0428908 + 0.119104i
\(425\) 37.8483 43.6793i 1.83591 2.11876i
\(426\) −6.90684 + 16.2990i −0.334637 + 0.789691i
\(427\) 5.31817 + 18.1120i 0.257364 + 0.876502i
\(428\) 2.72629 4.80564i 0.131780 0.232289i
\(429\) −5.96512 9.28191i −0.287999 0.448135i
\(430\) 0.821284 + 29.7693i 0.0396059 + 1.43560i
\(431\) 3.07383 + 21.3789i 0.148061 + 1.02979i 0.919389 + 0.393349i \(0.128684\pi\)
−0.771328 + 0.636438i \(0.780407\pi\)
\(432\) 2.71621 2.93635i 0.130684 0.141275i
\(433\) −1.52923 + 10.6360i −0.0734902 + 0.511136i 0.919514 + 0.393057i \(0.128583\pi\)
−0.993004 + 0.118079i \(0.962327\pi\)
\(434\) 9.00729 34.1314i 0.432364 1.63836i
\(435\) −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 0.811047 0.584981i \(-0.198898\pi\)
−0.694451 + 0.719540i \(0.744353\pi\)
\(440\) −11.2859 29.2411i −0.538032 1.39402i
\(441\) 2.18842 15.2208i 0.104210 0.724800i
\(442\) −3.62017 + 31.2810i −0.172194 + 1.48788i
\(443\) 0.576872 0.0829416i 0.0274080 0.00394068i −0.128597 0.991697i \(-0.541047\pi\)
0.156005 + 0.987756i \(0.450138\pi\)
\(444\) 6.53379 2.31684i 0.310080 0.109953i
\(445\) −35.8011 55.7077i −1.69714 2.64080i
\(446\) −13.4702 + 12.3386i −0.637831 + 0.584247i
\(447\) 6.23765 1.83154i 0.295030 0.0866288i
\(448\) 34.7717 + 14.9359i 1.64281 + 0.705653i
\(449\) 5.26819 6.07981i 0.248621 0.286924i −0.617698 0.786416i \(-0.711934\pi\)
0.866319 + 0.499492i \(0.166480\pi\)
\(450\) 7.98194 + 11.6978i 0.376272 + 0.551438i
\(451\) 23.3330 10.6558i 1.09871 0.501764i
\(452\) 6.58548 16.8172i 0.309755 0.791016i
\(453\) −5.21935 + 17.7755i −0.245227 + 0.835165i
\(454\) 6.71724 + 13.6960i 0.315256 + 0.642786i
\(455\) −29.3753 + 64.3230i −1.37714 + 3.01551i
\(456\) −8.22736 + 8.41617i −0.385281 + 0.394123i
\(457\) 8.21174 + 5.27736i 0.384129 + 0.246865i 0.718426 0.695603i \(-0.244863\pi\)
−0.334298 + 0.942468i \(0.608499\pi\)
\(458\) 18.8748 + 11.4071i 0.881963 + 0.533021i
\(459\) 5.77168i 0.269399i
\(460\) −37.0596 2.80198i −1.72791 0.130643i
\(461\) 34.0451i 1.58564i −0.609456 0.792820i \(-0.708612\pi\)
0.609456 0.792820i \(-0.291388\pi\)
\(462\) 9.89613 16.3746i 0.460409 0.761816i
\(463\) −16.0380 10.3070i −0.745347 0.479005i 0.112023 0.993706i \(-0.464267\pi\)
−0.857370 + 0.514700i \(0.827903\pi\)
\(464\) 4.07558 8.20802i 0.189204 0.381048i
\(465\) −8.49338 + 18.5979i −0.393871 + 0.862458i
\(466\) −27.2099 + 13.3451i −1.26047 + 0.618202i
\(467\) 3.24602 11.0549i 0.150208 0.511561i −0.849668 0.527318i \(-0.823198\pi\)
0.999876 + 0.0157569i \(0.00501579\pi\)
\(468\) −7.18461 2.81343i −0.332108 0.130051i
\(469\) 22.4640 10.2590i 1.03729 0.473714i
\(470\) 8.19946 5.59488i 0.378213 0.258073i
\(471\) −3.29607 + 3.80387i −0.151875 + 0.175273i
\(472\) −7.96153 34.6987i −0.366459 1.59714i
\(473\) −14.9133 + 4.37895i −0.685715 + 0.201344i
\(474\) −6.07730 6.63468i −0.279140 0.304741i
\(475\) −22.5277 35.0539i −1.03364 1.60838i
\(476\) −51.4656 + 18.2494i −2.35892 + 0.836461i
\(477\) 0.912219 0.131157i 0.0417676 0.00600528i
\(478\) 20.5627 + 2.37974i 0.940514 + 0.108847i
\(479\) −1.69077 + 11.7596i −0.0772533 + 0.537309i 0.914039 + 0.405627i \(0.132947\pi\)
−0.991292 + 0.131682i \(0.957962\pi\)
\(480\) −18.3812 11.9403i −0.838982 0.545000i
\(481\) −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
\(486\) −1.36740 0.360857i −0.0620265 0.0163688i
\(487\) −2.71573 + 18.8883i −0.123061 + 0.855910i 0.830994 + 0.556281i \(0.187772\pi\)
−0.954056 + 0.299629i \(0.903137\pi\)
\(488\) 5.52115 + 9.84408i 0.249931 + 0.445621i
\(489\) −1.11636 7.76446i −0.0504836 0.351121i
\(490\) −84.2315 + 2.32381i −3.80519 + 0.104979i
\(491\) 11.7945 + 18.3525i 0.532277 + 0.828239i 0.998404 0.0564789i \(-0.0179874\pi\)
−0.466127 + 0.884718i \(0.654351\pi\)
\(492\) 8.85133 15.6023i 0.399049 0.703405i
\(493\) 3.72539 + 12.6875i 0.167783 + 0.571417i
\(494\) 20.9035 + 8.85801i 0.940492 + 0.398541i
\(495\) −7.25690 + 8.37491i −0.326173 + 0.376424i
\(496\) 0.685298 21.0953i 0.0307708 0.947206i
\(497\) 24.5977 + 53.8615i 1.10336 + 2.41602i
\(498\) −3.45363 2.82966i −0.154761 0.126800i
\(499\) −3.15207 + 10.7350i −0.141106 + 0.480563i −0.999473 0.0324737i \(-0.989661\pi\)
0.858366 + 0.513037i \(0.171480\pi\)
\(500\) 27.9163 27.0241i 1.24845 1.20856i
\(501\) 3.69020 + 1.68526i 0.164866 + 0.0752918i
\(502\) −1.15471 6.71153i −0.0515374 0.299550i
\(503\) 25.5841 + 16.4419i 1.14074 + 0.733107i 0.967774 0.251821i \(-0.0810294\pi\)
0.172963 + 0.984928i \(0.444666\pi\)
\(504\) −1.10583 13.3340i −0.0492577 0.593944i
\(505\) 30.3183 1.34915
\(506\) −3.52139 19.0748i −0.156545 0.847978i
\(507\) 1.88348i 0.0836483i
\(508\) 7.66626 + 1.79854i 0.340135 + 0.0797971i
\(509\) 16.7905 26.1266i 0.744226 1.15804i −0.238169 0.971224i \(-0.576547\pi\)
0.982395 0.186815i \(-0.0598166\pi\)
\(510\) 31.1693 5.36264i 1.38020 0.237462i
\(511\) −7.09001 + 15.5250i −0.313644 + 0.686784i
\(512\) 22.2612 + 4.05470i 0.983814 + 0.179194i
\(513\) 3.99259 + 1.17233i 0.176277 + 0.0517597i
\(514\) 9.67909 + 7.93037i 0.426926 + 0.349794i
\(515\) 54.3626 24.8266i 2.39550 1.09399i
\(516\) −6.65419 + 8.59447i −0.292935 + 0.378351i
\(517\) 3.91534 + 3.39266i 0.172197 + 0.149209i
\(518\) 9.04748 21.3506i 0.397524 0.938093i
\(519\) −6.24127 + 1.83260i −0.273961 + 0.0804423i
\(520\) −8.51815 + 41.4137i −0.373546 + 1.81611i
\(521\) 17.1836 11.0432i 0.752826 0.483812i −0.107089 0.994249i \(-0.534153\pi\)
0.859915 + 0.510438i \(0.170517\pi\)
\(522\) −3.23879 + 0.0893527i −0.141758 + 0.00391086i
\(523\) −43.3988 + 6.23980i −1.89770 + 0.272847i −0.989370 0.145417i \(-0.953548\pi\)
−0.908325 + 0.418265i \(0.862638\pi\)
\(524\) −22.3524 + 4.48365i −0.976468 + 0.195869i
\(525\) 46.8874 + 6.74139i 2.04634 + 0.294219i
\(526\) 4.93119 18.6858i 0.215010 0.814739i
\(527\) 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
\(532\) 2.17056 + 39.3085i 0.0941058 + 1.70424i
\(533\) −34.2497 4.92436i −1.48352 0.213298i
\(534\) 2.77856 24.0088i 0.120240 1.03896i
\(535\) 1.52337 + 10.5953i 0.0658610 + 0.458073i
\(536\) 11.7196 8.98244i 0.506211 0.387982i
\(537\) −20.7343 + 13.3251i −0.894750 + 0.575021i
\(538\) −18.8792 20.6107i −0.813942 0.888592i
\(539\) −12.3901 42.1969i −0.533681 1.81755i
\(540\) −0.678275 + 7.71977i −0.0291883 + 0.332206i
\(541\) 33.0270 + 28.6181i 1.41994 + 1.23039i 0.934425 + 0.356161i \(0.115915\pi\)
0.485519 + 0.874226i \(0.338631\pi\)
\(542\) −12.0167 17.6108i −0.516160 0.756448i
\(543\) 6.85585 + 15.0122i 0.294213 + 0.644236i
\(544\) −27.5526 + 17.5171i −1.18131 + 0.751038i
\(545\) −20.5729 6.04075i −0.881247 0.258757i
\(546\) −23.1721 + 11.3648i −0.991674 + 0.486369i
\(547\) 20.6949 + 9.45106i 0.884852 + 0.404098i 0.805394 0.592740i \(-0.201954\pi\)
0.0794579 + 0.996838i \(0.474681\pi\)
\(548\) 2.32452 + 4.42643i 0.0992988 + 0.189088i
\(549\) 2.15740 3.35697i 0.0920754 0.143272i
\(550\) 34.6627 + 20.9487i 1.47802 + 0.893255i
\(551\) 9.53337 0.406135
\(552\) −9.81456 9.36346i −0.417735 0.398535i
\(553\) −30.0957 −1.27980
\(554\) 12.1040 + 7.31513i 0.514249 + 0.310790i
\(555\) −7.26117 + 11.2986i −0.308219 + 0.479599i
\(556\) 11.5336 6.05681i 0.489132 0.256866i
\(557\) 27.5051 + 12.5612i 1.16543 + 0.532234i 0.901700 0.432362i \(-0.142320\pi\)
0.263730 + 0.964597i \(0.415047\pi\)
\(558\) −6.69982 + 3.28594i −0.283626 + 0.139105i
\(559\) 20.1172 + 5.90696i 0.850869 + 0.249838i
\(560\) −70.9813 + 18.3610i −2.99951 + 0.775892i
\(561\) 6.85713 + 15.0150i 0.289508 + 0.633934i
\(562\) 2.46501 + 3.61254i 0.103980 + 0.152386i
\(563\) −10.3590 8.97613i −0.436580 0.378299i 0.408659 0.912687i \(-0.365997\pi\)
−0.845239 + 0.534388i \(0.820542\pi\)
\(564\) 3.60906 + 0.317099i 0.151969 + 0.0133523i
\(565\) 9.85791 + 33.5730i 0.414726 + 1.41243i
\(566\) −2.89075 3.15588i −0.121507 0.132651i
\(567\) −3.97952 + 2.55748i −0.167124 + 0.107404i
\(568\) 21.5370 + 28.1000i 0.903675 + 1.17905i
\(569\) −1.28912 8.96603i −0.0540427 0.375875i −0.998837 0.0482117i \(-0.984648\pi\)
0.944794 0.327664i \(-0.106261\pi\)
\(570\) 2.62140 22.6508i 0.109798 0.948738i
\(571\) 4.69935 + 0.675665i 0.196662 + 0.0282757i 0.239942 0.970787i \(-0.422872\pi\)
−0.0432800 + 0.999063i \(0.513781\pi\)
\(572\) −22.0333 + 1.21665i −0.921258 + 0.0508706i
\(573\) 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 0.273657 0.961827i \(-0.411767\pi\)
−0.990983 + 0.133989i \(0.957221\pi\)
\(578\) 5.88639 22.3053i 0.244842 0.927780i
\(579\) 12.9283 + 1.85881i 0.537281 + 0.0772494i
\(580\) 3.49180 + 17.4077i 0.144989 + 0.722815i
\(581\) −14.7825 + 2.12541i −0.613282 + 0.0881767i
\(582\) −7.91091 + 0.218249i −0.327918 + 0.00904670i
\(583\) 2.21731 1.42498i 0.0918317 0.0590167i
\(584\) −2.05594 + 9.99558i −0.0850753 + 0.413620i
\(585\) 14.3429 4.21147i 0.593008 0.174123i
\(586\) −11.3920 + 26.8834i −0.470600 + 1.11054i
\(587\) −18.0211 15.6154i −0.743811 0.644516i 0.198175 0.980167i \(-0.436498\pi\)
−0.941987 + 0.335651i \(0.891044\pi\)
\(588\) −24.3179 18.8279i −1.00285 0.776449i
\(589\) 19.9726 9.12116i 0.822955 0.375831i
\(590\) 53.3508 + 43.7119i 2.19642 + 1.79959i
\(591\) 1.70826 + 0.501591i 0.0702684 + 0.0206327i
\(592\) 2.41772 13.6524i 0.0993675 0.561109i
\(593\) 8.48474 18.5790i 0.348426 0.762947i −0.651564 0.758594i \(-0.725887\pi\)
0.999991 0.00435385i \(-0.00138588\pi\)
\(594\) −3.98601 + 0.685790i −0.163548 + 0.0281383i
\(595\) 57.1951 88.9973i 2.34477 3.64853i
\(596\) 2.96968 12.6583i 0.121643 0.518503i
\(597\) 4.34561i 0.177854i
\(598\) −9.91506 + 24.2143i −0.405457 + 0.990196i
\(599\) −12.2895 −0.502134 −0.251067 0.967970i \(-0.580781\pi\)
−0.251067 + 0.967970i \(0.580781\pi\)
\(600\) 28.2262 2.34089i 1.15233 0.0955665i
\(601\) 19.4102 + 12.4742i 0.791758 + 0.508832i 0.872917 0.487869i \(-0.162226\pi\)
−0.0811587 + 0.996701i \(0.525862\pi\)
\(602\) 6.16469 + 35.8310i 0.251254 + 1.46036i
\(603\) −4.74879 2.16870i −0.193385 0.0883162i
\(604\) 25.7708 + 26.6215i 1.04860 + 1.08322i
\(605\) 3.07920 10.4868i 0.125187 0.426349i
\(606\) 8.55951 + 7.01306i 0.347706 + 0.284886i
\(607\) −5.43576 11.9027i −0.220631 0.483114i 0.766657 0.642057i \(-0.221919\pi\)
−0.987288 + 0.158943i \(0.949191\pi\)
\(608\) 6.52112 + 22.6177i 0.264466 + 0.917269i
\(609\) −7.09718 + 8.19058i −0.287592 + 0.331899i
\(610\) −20.1335 8.53170i −0.815180 0.345438i
\(611\) −1.96890 6.70545i −0.0796530 0.271273i
\(612\) 10.0402 + 5.69591i 0.405851 + 0.230243i
\(613\) −8.89964 13.8481i −0.359453 0.559320i 0.613683 0.789553i \(-0.289687\pi\)
−0.973135 + 0.230233i \(0.926051\pi\)
\(614\) −24.9020 + 0.687006i −1.00496 + 0.0277253i
\(615\) 4.94586 + 34.3992i 0.199436 + 1.38711i
\(616\) −18.7185 33.3746i −0.754190 1.34470i
\(617\) −2.84316 + 19.7746i −0.114461 + 0.796096i 0.849028 + 0.528348i \(0.177189\pi\)
−0.963489 + 0.267748i \(0.913721\pi\)
\(618\) 21.0904 + 5.56577i 0.848382 + 0.223888i
\(619\) −2.49090 + 2.15838i −0.100118 + 0.0867526i −0.703482 0.710714i \(-0.748372\pi\)
0.603364 + 0.797466i \(0.293827\pi\)
\(620\) 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
\(624\) −11.9844 + 9.72159i −0.479761 + 0.389175i
\(625\) −3.58719 + 24.9495i −0.143488 + 0.997978i
\(626\) 13.3365 + 1.54344i 0.533033 + 0.0616884i
\(627\) 11.7795 1.69364i 0.470430 0.0676376i
\(628\) 3.36427 + 9.48766i 0.134249 + 0.378599i
\(629\) 10.8159 + 16.8299i 0.431260 + 0.671053i
\(630\) 17.5089 + 19.1147i 0.697571 + 0.761548i
\(631\) −11.8405 + 3.47668i −0.471362 + 0.138404i −0.508782 0.860895i \(-0.669904\pi\)
0.0374203 + 0.999300i \(0.488086\pi\)
\(632\) −17.5390 + 4.02427i −0.697663 + 0.160077i
\(633\) −1.16794 + 1.34788i −0.0464216 + 0.0535734i
\(634\) 18.0784 12.3358i 0.717986 0.489916i
\(635\) −13.8771 + 6.33744i −0.550695 + 0.251494i
\(636\) 0.672087 1.71630i 0.0266500 0.0680557i
\(637\) −16.7136 + 56.9213i −0.662217 + 2.25530i
\(638\) −8.31955 + 4.08034i −0.329374 + 0.161542i
\(639\) 5.19985 11.3861i 0.205703 0.450427i
\(640\) −38.9109 + 20.1916i −1.53809 + 0.798144i
\(641\) −1.39083 0.893830i −0.0549344 0.0353042i 0.512885 0.858457i \(-0.328577\pi\)
−0.567820 + 0.823153i \(0.692213\pi\)
\(642\) −2.02076 + 3.34364i −0.0797529 + 0.131963i
\(643\) 44.2973i 1.74691i 0.486901 + 0.873457i \(0.338127\pi\)
−0.486901 + 0.873457i \(0.661873\pi\)
\(644\) −45.2702 + 3.05292i −1.78390 + 0.120302i
\(645\) 21.0581i 0.829161i
\(646\) −29.0686 17.5678i −1.14369 0.691198i
\(647\) 0.776826 + 0.499236i 0.0305402 + 0.0196270i 0.555822 0.831301i \(-0.312404\pi\)
−0.525282 + 0.850928i \(0.676040\pi\)
\(648\) −1.97718 + 2.02256i −0.0776711 + 0.0794536i
\(649\) −14.9537 + 32.7441i −0.586985 + 1.28532i
\(650\) −24.0577 49.0520i −0.943619 1.92398i
\(651\) −7.03227 + 23.9497i −0.275616 + 0.938663i
\(652\) −14.6085 5.72055i −0.572113 0.224034i
\(653\) −11.0621 + 5.05191i −0.432895 + 0.197696i −0.619931 0.784657i \(-0.712839\pi\)
0.187036 + 0.982353i \(0.440112\pi\)
\(654\) −4.41086 6.46424i −0.172478 0.252772i
\(655\) 28.9236 33.3796i 1.13014 1.30425i
\(656\) −18.4060 30.7949i −0.718634 1.20234i
\(657\) 3.46180 1.01648i 0.135058 0.0396566i
\(658\) 8.93629 8.18556i 0.348373 0.319106i
\(659\) 17.6598 + 27.4793i 0.687930 + 1.07044i 0.993001 + 0.118110i \(0.0376835\pi\)
−0.305071 + 0.952330i \(0.598680\pi\)
\(660\) 7.40706 + 20.8888i 0.288319 + 0.813096i
\(661\) −41.8985 + 6.02410i −1.62966 + 0.234310i −0.895629 0.444801i \(-0.853274\pi\)
−0.734035 + 0.679112i \(0.762365\pi\)
\(662\) −1.32429 + 11.4428i −0.0514699 + 0.444737i
\(663\) 3.16887 22.0400i 0.123069 0.855962i
\(664\) −8.33066 + 3.21529i −0.323292 + 0.124777i
\(665\) −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
\(670\) −7.29956 + 27.6603i −0.282007 + 1.06861i
\(671\) 1.62416 11.2963i 0.0627001 0.436089i
\(672\) −24.2867 11.2353i −0.936879 0.433411i
\(673\) −5.60480 38.9822i −0.216049 1.50265i −0.752426 0.658676i \(-0.771117\pi\)
0.536377 0.843978i \(-0.319792\pi\)
\(674\) 1.14625 + 41.5484i 0.0441519 + 1.60038i
\(675\) −5.41383 8.42408i −0.208378 0.324243i
\(676\) 3.27644 + 1.85876i 0.126017 + 0.0714906i
\(677\) 4.17719 + 14.2262i 0.160542 + 0.546758i 0.999994 + 0.00332365i \(0.00105795\pi\)
−0.839452 + 0.543434i \(0.817124\pi\)
\(678\) −4.98281 + 11.7586i −0.191364 + 0.451588i
\(679\) −17.3352 + 20.0059i −0.665265 + 0.767757i
\(680\) 21.4314 59.5132i 0.821858 2.28223i
\(681\) −4.48092 9.81185i −0.171709 0.375991i
\(682\) −13.5257 + 16.5082i −0.517925 + 0.632132i
\(683\) −11.7158 + 39.9003i −0.448292 + 1.52674i 0.357139 + 0.934051i \(0.383752\pi\)
−0.805431 + 0.592690i \(0.798066\pi\)
\(684\) 5.97953 5.78843i 0.228633 0.221326i
\(685\) −8.81092 4.02381i −0.336648 0.153742i
\(686\) −55.2318 + 9.50259i −2.10876 + 0.362810i
\(687\) −13.1190 8.43107i −0.500521 0.321665i
\(688\) 8.38380 + 20.0570i 0.319629 + 0.764668i
\(689\) −3.55545 −0.135452
\(690\) 26.1405 + 2.70322i 0.995150 + 0.102910i
\(691\) 40.6448i 1.54620i −0.634284 0.773100i \(-0.718705\pi\)
0.634284 0.773100i \(-0.281295\pi\)
\(692\) −2.97141 + 12.6656i −0.112956 + 0.481475i
\(693\) −7.31427 + 11.3812i −0.277846 + 0.432337i
\(694\) −5.77202 33.5487i −0.219103 1.27349i
\(695\) −10.4845 + 22.9578i −0.397700 + 0.870841i
\(696\) −3.04084 + 5.72226i −0.115263 + 0.216902i
\(697\) 49.6697 + 14.5843i 1.88137 + 0.552421i
\(698\) −26.0729 + 31.8223i −0.986876 + 1.20449i
\(699\) 19.4932 8.90224i 0.737300 0.336714i
\(700\) 57.9990 74.9108i 2.19216 2.83136i
\(701\) 26.8320 + 23.2501i 1.01343 + 0.878142i 0.992574 0.121640i \(-0.0388154\pi\)
0.0208560 + 0.999782i \(0.493361\pi\)
\(702\) 5.02349 + 2.12874i 0.189599 + 0.0803441i
\(703\) 13.8391 4.06353i 0.521953 0.153259i
\(704\) −15.3714 16.9469i −0.579330 0.638709i
\(705\) −5.90479 + 3.79478i −0.222387 + 0.142920i
\(706\) −1.40033 50.7581i −0.0527021 1.91031i
\(707\) 36.6372 5.26763i 1.37788 0.198110i
\(708\) 4.95087 + 24.6816i 0.186065 + 0.927591i
\(709\) 32.1045 + 4.61593i 1.20571 + 0.173355i 0.715729 0.698378i \(-0.246094\pi\)
0.489982 + 0.871733i \(0.337004\pi\)
\(710\) −66.3206 17.5020i −2.48897 0.656840i
\(711\) 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
\(716\) 2.71779 + 49.2188i 0.101569 + 1.83939i
\(717\) −14.4881 2.08307i −0.541067 0.0777936i
\(718\) 18.7197 + 2.16644i 0.698611 + 0.0808509i
\(719\) 3.88186 + 26.9989i 0.144769 + 1.00689i 0.924611 + 0.380913i \(0.124390\pi\)
−0.779842 + 0.625977i \(0.784701\pi\)
\(720\) 12.7597 + 8.79833i 0.475524 + 0.327894i
\(721\) 61.3792 39.4460i 2.28588 1.46905i
\(722\) 1.75701 1.60940i 0.0653891 0.0598958i
\(723\) −1.85417 6.31473i −0.0689574 0.234848i
\(724\) 32.8806 + 2.88895i 1.22200 + 0.107367i
\(725\) −17.3383 15.0237i −0.643928 0.557967i
\(726\) 3.29507 2.24838i 0.122291 0.0834452i
\(727\) −14.5105 31.7736i −0.538166 1.17842i −0.962093 0.272723i \(-0.912076\pi\)
0.423927 0.905696i \(-0.360651\pi\)
\(728\) −3.09809 + 51.5250i −0.114823 + 1.90964i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −8.70584 17.7506i −0.322218 0.656981i
\(731\) −28.5327 13.0304i −1.05532 0.481948i
\(732\) −3.71060 7.06583i −0.137148 0.261161i
\(733\) 7.90865 12.3061i 0.292113 0.454536i −0.663917 0.747806i \(-0.731107\pi\)
0.956030 + 0.293270i \(0.0947436\pi\)
\(734\) 3.53135 5.84316i 0.130345 0.215675i
\(735\) 59.5833 2.19776
\(736\) −25.9741 + 7.83251i −0.957417 + 0.288710i
\(737\) −14.9305 −0.549973
\(738\) −6.56071 + 10.8557i −0.241503 + 0.399603i
\(739\) 12.7147 19.7844i 0.467717 0.727782i −0.524621 0.851336i \(-0.675793\pi\)
0.992338 + 0.123554i \(0.0394293\pi\)
\(740\) 12.4888 + 23.7815i 0.459097 + 0.874227i
\(741\) −14.6026 6.66880i −0.536441 0.244985i
\(742\) −2.71489 5.53548i −0.0996667 0.203214i
\(743\) −0.581347 0.170699i −0.0213275 0.00626233i 0.271051 0.962565i \(-0.412629\pi\)
−0.292379 + 0.956303i \(0.594447\pi\)
\(744\) −0.895762 + 14.8976i −0.0328402 + 0.546172i
\(745\) 10.4642 + 22.9134i 0.383378 + 0.839481i
\(746\) 20.3901 13.9131i 0.746535 0.509396i
\(747\) 2.38597 + 2.06746i 0.0872982 + 0.0756443i
\(748\) 32.8867 + 2.88949i 1.20246 + 0.105650i
\(749\) 3.68173 + 12.5388i 0.134527 + 0.458158i
\(750\) −20.2593 + 18.5573i −0.739764 + 0.677617i
\(751\) −12.5204 + 8.04634i −0.456874 + 0.293615i −0.748764 0.662837i \(-0.769352\pi\)
0.291890 + 0.956452i \(0.405716\pi\)
\(752\) 4.11329 5.96525i 0.149996 0.217530i
\(753\) 0.685317 + 4.76648i 0.0249743 + 0.173700i
\(754\) 12.4168 + 1.43701i 0.452195 + 0.0523329i
\(755\) −71.0527 10.2158i −2.58587 0.371793i
\(756\) 0.521625 + 9.44654i 0.0189713 + 0.343567i
\(757\) −5.95055 + 5.15618i −0.216277 + 0.187405i −0.756261 0.654271i \(-0.772976\pi\)
0.539984 + 0.841675i \(0.318430\pi\)
\(758\) −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 0.999995 0.00329339i \(-0.00104832\pi\)
−0.145574 + 0.989347i \(0.546503\pi\)
\(762\) −5.38373 1.42077i −0.195032 0.0514690i
\(763\) −25.9102 3.72532i −0.938012 0.134866i
\(764\) −0.338771 1.68888i −0.0122563 0.0611014i
\(765\) −22.1362 + 3.18270i −0.800336 + 0.115071i
\(766\) 0.906409 + 32.8548i 0.0327499 + 1.18709i
\(767\) 40.8497 26.2525i 1.47500 0.947922i
\(768\) −15.6560 3.30012i −0.564936 0.119083i
\(769\) 45.7962 13.4470i 1.65145 0.484910i 0.682238 0.731130i \(-0.261007\pi\)
0.969214 + 0.246220i \(0.0791886\pi\)
\(770\) 68.2589 + 28.9252i 2.45988 + 1.04239i
\(771\) −6.68690 5.79423i −0.240823 0.208674i
\(772\) 15.9921 20.6552i 0.575568 0.743396i
\(773\) −14.2275 + 6.49748i −0.511728 + 0.233698i −0.654507 0.756056i \(-0.727124\pi\)
0.142779 + 0.989755i \(0.454396\pi\)