Properties

Label 177.2.e.a.16.1
Level $177$
Weight $2$
Character 177.16
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 16.1
Character \(\chi\) \(=\) 177.16
Dual form 177.2.e.a.166.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.19928 - 0.484098i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(2.78734 + 1.28956i) q^{4} +(0.0503762 + 0.181439i) q^{5} +(-0.121917 + 2.24863i) q^{6} +(2.06658 + 1.95757i) q^{7} +(-1.92037 - 1.45983i) q^{8} +(-0.947653 + 0.319302i) q^{9} +O(q^{10})\) \(q+(-2.19928 - 0.484098i) q^{2} +(-0.161782 - 0.986827i) q^{3} +(2.78734 + 1.28956i) q^{4} +(0.0503762 + 0.181439i) q^{5} +(-0.121917 + 2.24863i) q^{6} +(2.06658 + 1.95757i) q^{7} +(-1.92037 - 1.45983i) q^{8} +(-0.947653 + 0.319302i) q^{9} +(-0.0229572 - 0.423421i) q^{10} +(0.782051 - 0.920701i) q^{11} +(0.821630 - 2.95924i) q^{12} +(2.31365 + 0.779560i) q^{13} +(-3.59734 - 5.30568i) q^{14} +(0.170898 - 0.0790660i) q^{15} +(-0.459760 - 0.541271i) q^{16} +(2.03588 - 1.92849i) q^{17} +(2.23873 - 0.243476i) q^{18} +(1.85300 - 4.65068i) q^{19} +(-0.0935604 + 0.570693i) q^{20} +(1.59745 - 2.35606i) q^{21} +(-2.16566 + 1.64629i) q^{22} +(4.29536 + 0.467148i) q^{23} +(-1.12991 + 2.13124i) q^{24} +(4.25390 - 2.55949i) q^{25} +(-4.71098 - 2.83451i) q^{26} +(0.468408 + 0.883512i) q^{27} +(3.23585 + 8.12138i) q^{28} +(-3.96069 + 0.871814i) q^{29} +(-0.414129 + 0.0911568i) q^{30} +(-0.590642 - 1.48240i) q^{31} +(3.00894 + 5.67546i) q^{32} +(-1.03509 - 0.622796i) q^{33} +(-5.41106 + 3.25572i) q^{34} +(-0.251072 + 0.473573i) q^{35} +(-3.05318 - 0.332054i) q^{36} +(-9.19319 + 6.98848i) q^{37} +(-6.32666 + 9.33112i) q^{38} +(0.394983 - 2.40929i) q^{39} +(0.168128 - 0.421969i) q^{40} +(7.16053 - 0.778754i) q^{41} +(-4.65380 + 4.40831i) q^{42} +(1.09890 + 1.29372i) q^{43} +(3.36714 - 1.55780i) q^{44} +(-0.105673 - 0.155856i) q^{45} +(-9.22056 - 3.10677i) q^{46} +(-0.710095 + 2.55753i) q^{47} +(-0.459760 + 0.541271i) q^{48} +(0.0597066 + 1.10122i) q^{49} +(-10.5946 + 3.56973i) q^{50} +(-2.23245 - 1.69707i) q^{51} +(5.44363 + 5.15648i) q^{52} +(-0.234642 + 4.32772i) q^{53} +(-0.602455 - 2.16985i) q^{54} +(0.206448 + 0.0955128i) q^{55} +(-1.11089 - 6.77611i) q^{56} +(-4.88920 - 1.07619i) q^{57} +9.13271 q^{58} +(6.24107 + 4.47762i) q^{59} +0.578312 q^{60} +(-9.38994 - 2.06688i) q^{61} +(0.581361 + 3.54614i) q^{62} +(-2.58346 - 1.19523i) q^{63} +(-3.49004 - 12.5700i) q^{64} +(-0.0248893 + 0.459057i) q^{65} +(1.97497 + 1.87079i) q^{66} +(9.39927 + 7.14514i) q^{67} +(8.16159 - 2.74996i) q^{68} +(-0.233917 - 4.31435i) q^{69} +(0.781434 - 0.919976i) q^{70} +(0.898732 - 3.23694i) q^{71} +(2.28597 + 0.770232i) q^{72} +(-3.67724 - 5.42352i) q^{73} +(23.6015 - 10.9192i) q^{74} +(-3.21398 - 3.78379i) q^{75} +(11.1623 - 10.5735i) q^{76} +(3.41851 - 0.371785i) q^{77} +(-2.03501 + 5.10750i) q^{78} +(1.22793 - 7.49003i) q^{79} +(0.0750465 - 0.110685i) q^{80} +(0.796093 - 0.605174i) q^{81} +(-16.1250 - 1.75370i) q^{82} +(3.10346 - 5.85375i) q^{83} +(7.49089 - 4.50712i) q^{84} +(0.452463 + 0.272238i) q^{85} +(-1.79049 - 3.37723i) q^{86} +(1.50110 + 3.76747i) q^{87} +(-2.84589 + 0.626428i) q^{88} +(-10.5545 + 2.32322i) q^{89} +(0.156955 + 0.393926i) q^{90} +(3.25531 + 6.14016i) q^{91} +(11.3702 + 6.84122i) q^{92} +(-1.36732 + 0.822687i) q^{93} +(2.79979 - 5.28097i) q^{94} +(0.937161 + 0.101922i) q^{95} +(5.11391 - 3.88749i) q^{96} +(-5.49079 + 8.09831i) q^{97} +(0.401789 - 2.45080i) q^{98} +(-0.447132 + 1.12222i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{2}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.19928 0.484098i −1.55513 0.342309i −0.647493 0.762072i \(-0.724182\pi\)
−0.907634 + 0.419763i \(0.862113\pi\)
\(3\) −0.161782 0.986827i −0.0934049 0.569745i
\(4\) 2.78734 + 1.28956i 1.39367 + 0.644779i
\(5\) 0.0503762 + 0.181439i 0.0225289 + 0.0811418i 0.973960 0.226720i \(-0.0728003\pi\)
−0.951431 + 0.307862i \(0.900386\pi\)
\(6\) −0.121917 + 2.24863i −0.0497724 + 0.917998i
\(7\) 2.06658 + 1.95757i 0.781094 + 0.739892i 0.970263 0.242053i \(-0.0778207\pi\)
−0.189169 + 0.981945i \(0.560579\pi\)
\(8\) −1.92037 1.45983i −0.678953 0.516126i
\(9\) −0.947653 + 0.319302i −0.315884 + 0.106434i
\(10\) −0.0229572 0.423421i −0.00725972 0.133898i
\(11\) 0.782051 0.920701i 0.235797 0.277602i −0.631518 0.775361i \(-0.717568\pi\)
0.867315 + 0.497759i \(0.165844\pi\)
\(12\) 0.821630 2.95924i 0.237184 0.854260i
\(13\) 2.31365 + 0.779560i 0.641691 + 0.216211i 0.621290 0.783581i \(-0.286609\pi\)
0.0204015 + 0.999792i \(0.493506\pi\)
\(14\) −3.59734 5.30568i −0.961429 1.41800i
\(15\) 0.170898 0.0790660i 0.0441258 0.0204148i
\(16\) −0.459760 0.541271i −0.114940 0.135318i
\(17\) 2.03588 1.92849i 0.493774 0.467728i −0.399826 0.916591i \(-0.630930\pi\)
0.893600 + 0.448863i \(0.148171\pi\)
\(18\) 2.23873 0.243476i 0.527673 0.0573880i
\(19\) 1.85300 4.65068i 0.425108 1.06694i −0.547977 0.836493i \(-0.684602\pi\)
0.973085 0.230447i \(-0.0740187\pi\)
\(20\) −0.0935604 + 0.570693i −0.0209207 + 0.127611i
\(21\) 1.59745 2.35606i 0.348591 0.514134i
\(22\) −2.16566 + 1.64629i −0.461720 + 0.350991i
\(23\) 4.29536 + 0.467148i 0.895644 + 0.0974072i 0.544350 0.838858i \(-0.316776\pi\)
0.351294 + 0.936265i \(0.385742\pi\)
\(24\) −1.12991 + 2.13124i −0.230643 + 0.435038i
\(25\) 4.25390 2.55949i 0.850781 0.511898i
\(26\) −4.71098 2.83451i −0.923900 0.555892i
\(27\) 0.468408 + 0.883512i 0.0901452 + 0.170032i
\(28\) 3.23585 + 8.12138i 0.611519 + 1.53480i
\(29\) −3.96069 + 0.871814i −0.735482 + 0.161892i −0.566889 0.823794i \(-0.691853\pi\)
−0.168592 + 0.985686i \(0.553922\pi\)
\(30\) −0.414129 + 0.0911568i −0.0756094 + 0.0166429i
\(31\) −0.590642 1.48240i −0.106082 0.266247i 0.866348 0.499441i \(-0.166461\pi\)
−0.972430 + 0.233195i \(0.925082\pi\)
\(32\) 3.00894 + 5.67546i 0.531911 + 1.00329i
\(33\) −1.03509 0.622796i −0.180187 0.108415i
\(34\) −5.41106 + 3.25572i −0.927988 + 0.558352i
\(35\) −0.251072 + 0.473573i −0.0424390 + 0.0800484i
\(36\) −3.05318 0.332054i −0.508864 0.0553423i
\(37\) −9.19319 + 6.98848i −1.51135 + 1.14890i −0.565299 + 0.824886i \(0.691239\pi\)
−0.946053 + 0.324013i \(0.894968\pi\)
\(38\) −6.32666 + 9.33112i −1.02632 + 1.51371i
\(39\) 0.394983 2.40929i 0.0632479 0.385795i
\(40\) 0.168128 0.421969i 0.0265834 0.0667192i
\(41\) 7.16053 0.778754i 1.11829 0.121621i 0.469746 0.882801i \(-0.344345\pi\)
0.648540 + 0.761180i \(0.275380\pi\)
\(42\) −4.65380 + 4.40831i −0.718096 + 0.680217i
\(43\) 1.09890 + 1.29372i 0.167580 + 0.197291i 0.839541 0.543296i \(-0.182824\pi\)
−0.671961 + 0.740586i \(0.734548\pi\)
\(44\) 3.36714 1.55780i 0.507615 0.234848i
\(45\) −0.105673 0.155856i −0.0157528 0.0232336i
\(46\) −9.22056 3.10677i −1.35950 0.458068i
\(47\) −0.710095 + 2.55753i −0.103578 + 0.373054i −0.997112 0.0759407i \(-0.975804\pi\)
0.893534 + 0.448995i \(0.148218\pi\)
\(48\) −0.459760 + 0.541271i −0.0663606 + 0.0781258i
\(49\) 0.0597066 + 1.10122i 0.00852951 + 0.157318i
\(50\) −10.5946 + 3.56973i −1.49830 + 0.504836i
\(51\) −2.23245 1.69707i −0.312606 0.237637i
\(52\) 5.44363 + 5.15648i 0.754896 + 0.715075i
\(53\) −0.234642 + 4.32772i −0.0322305 + 0.594457i 0.937155 + 0.348913i \(0.113449\pi\)
−0.969385 + 0.245544i \(0.921033\pi\)
\(54\) −0.602455 2.16985i −0.0819838 0.295279i
\(55\) 0.206448 + 0.0955128i 0.0278374 + 0.0128789i
\(56\) −1.11089 6.77611i −0.148448 0.905495i
\(57\) −4.88920 1.07619i −0.647590 0.142545i
\(58\) 9.13271 1.19918
\(59\) 6.24107 + 4.47762i 0.812518 + 0.582936i
\(60\) 0.578312 0.0746597
\(61\) −9.38994 2.06688i −1.20226 0.264637i −0.431707 0.902014i \(-0.642088\pi\)
−0.770552 + 0.637377i \(0.780020\pi\)
\(62\) 0.581361 + 3.54614i 0.0738329 + 0.450361i
\(63\) −2.58346 1.19523i −0.325485 0.150585i
\(64\) −3.49004 12.5700i −0.436255 1.57125i
\(65\) −0.0248893 + 0.459057i −0.00308714 + 0.0569390i
\(66\) 1.97497 + 1.87079i 0.243102 + 0.230278i
\(67\) 9.39927 + 7.14514i 1.14830 + 0.872918i 0.993365 0.115006i \(-0.0366889\pi\)
0.154939 + 0.987924i \(0.450482\pi\)
\(68\) 8.16159 2.74996i 0.989738 0.333481i
\(69\) −0.233917 4.31435i −0.0281603 0.519387i
\(70\) 0.781434 0.919976i 0.0933993 0.109958i
\(71\) 0.898732 3.23694i 0.106660 0.384154i −0.890881 0.454236i \(-0.849912\pi\)
0.997541 + 0.0700820i \(0.0223261\pi\)
\(72\) 2.28597 + 0.770232i 0.269404 + 0.0907727i
\(73\) −3.67724 5.42352i −0.430388 0.634776i 0.549223 0.835676i \(-0.314924\pi\)
−0.979612 + 0.200900i \(0.935613\pi\)
\(74\) 23.6015 10.9192i 2.74362 1.26933i
\(75\) −3.21398 3.78379i −0.371118 0.436914i
\(76\) 11.1623 10.5735i 1.28040 1.21286i
\(77\) 3.41851 0.371785i 0.389575 0.0423689i
\(78\) −2.03501 + 5.10750i −0.230420 + 0.578310i
\(79\) 1.22793 7.49003i 0.138153 0.842694i −0.823276 0.567641i \(-0.807856\pi\)
0.961429 0.275053i \(-0.0886956\pi\)
\(80\) 0.0750465 0.110685i 0.00839046 0.0123750i
\(81\) 0.796093 0.605174i 0.0884548 0.0672416i
\(82\) −16.1250 1.75370i −1.78071 0.193664i
\(83\) 3.10346 5.85375i 0.340649 0.642533i −0.652707 0.757610i \(-0.726367\pi\)
0.993357 + 0.115077i \(0.0367116\pi\)
\(84\) 7.49089 4.50712i 0.817323 0.491767i
\(85\) 0.452463 + 0.272238i 0.0490764 + 0.0295283i
\(86\) −1.79049 3.37723i −0.193074 0.364176i
\(87\) 1.50110 + 3.76747i 0.160935 + 0.403915i
\(88\) −2.84589 + 0.626428i −0.303373 + 0.0667774i
\(89\) −10.5545 + 2.32322i −1.11878 + 0.246261i −0.735601 0.677415i \(-0.763100\pi\)
−0.383174 + 0.923676i \(0.625169\pi\)
\(90\) 0.156955 + 0.393926i 0.0165445 + 0.0415235i
\(91\) 3.25531 + 6.14016i 0.341249 + 0.643663i
\(92\) 11.3702 + 6.84122i 1.18542 + 0.713246i
\(93\) −1.36732 + 0.822687i −0.141784 + 0.0853087i
\(94\) 2.79979 5.28097i 0.288777 0.544691i
\(95\) 0.937161 + 0.101922i 0.0961506 + 0.0104570i
\(96\) 5.11391 3.88749i 0.521936 0.396765i
\(97\) −5.49079 + 8.09831i −0.557505 + 0.822258i −0.997113 0.0759313i \(-0.975807\pi\)
0.439608 + 0.898190i \(0.355117\pi\)
\(98\) 0.401789 2.45080i 0.0405868 0.247569i
\(99\) −0.447132 + 1.12222i −0.0449384 + 0.112787i
\(100\) 15.1577 1.64850i 1.51577 0.164850i
\(101\) −13.5602 + 12.8449i −1.34929 + 1.27812i −0.420613 + 0.907240i \(0.638185\pi\)
−0.928681 + 0.370879i \(0.879057\pi\)
\(102\) 4.08825 + 4.81306i 0.404797 + 0.476564i
\(103\) 8.57031 3.96505i 0.844457 0.390688i 0.0505465 0.998722i \(-0.483904\pi\)
0.793911 + 0.608034i \(0.208042\pi\)
\(104\) −3.30504 4.87457i −0.324086 0.477991i
\(105\) 0.507953 + 0.171149i 0.0495711 + 0.0167025i
\(106\) 2.61108 9.40427i 0.253611 0.913424i
\(107\) −4.59307 + 5.40738i −0.444029 + 0.522751i −0.937957 0.346752i \(-0.887285\pi\)
0.493928 + 0.869503i \(0.335560\pi\)
\(108\) 0.166271 + 3.06668i 0.0159994 + 0.295092i
\(109\) −13.2211 + 4.45470i −1.26635 + 0.426683i −0.870743 0.491738i \(-0.836362\pi\)
−0.395606 + 0.918421i \(0.629465\pi\)
\(110\) −0.407799 0.310000i −0.0388821 0.0295574i
\(111\) 8.38371 + 7.94147i 0.795747 + 0.753771i
\(112\) 0.109445 2.01859i 0.0103416 0.190739i
\(113\) −3.33254 12.0027i −0.313499 1.12912i −0.937583 0.347763i \(-0.886941\pi\)
0.624084 0.781357i \(-0.285472\pi\)
\(114\) 10.2317 + 4.73371i 0.958290 + 0.443352i
\(115\) 0.131625 + 0.802877i 0.0122741 + 0.0748687i
\(116\) −12.1640 2.67750i −1.12940 0.248600i
\(117\) −2.44145 −0.225712
\(118\) −11.5583 12.8688i −1.06402 1.18467i
\(119\) 7.98247 0.731752
\(120\) −0.443611 0.0976461i −0.0404959 0.00891383i
\(121\) 1.54351 + 9.41502i 0.140319 + 0.855911i
\(122\) 19.6506 + 9.09131i 1.77908 + 0.823089i
\(123\) −1.92694 6.94021i −0.173746 0.625778i
\(124\) 0.265324 4.89361i 0.0238268 0.439459i
\(125\) 1.36222 + 1.29036i 0.121841 + 0.115413i
\(126\) 5.10314 + 3.87931i 0.454624 + 0.345596i
\(127\) −21.0643 + 7.09737i −1.86915 + 0.629790i −0.881711 + 0.471790i \(0.843608\pi\)
−0.987439 + 0.158000i \(0.949495\pi\)
\(128\) 0.894917 + 16.5058i 0.0791002 + 1.45892i
\(129\) 1.09890 1.29372i 0.0967524 0.113906i
\(130\) 0.276967 0.997546i 0.0242916 0.0874906i
\(131\) −15.8181 5.32975i −1.38204 0.465663i −0.472517 0.881322i \(-0.656654\pi\)
−0.909521 + 0.415659i \(0.863551\pi\)
\(132\) −2.08202 3.07075i −0.181217 0.267275i
\(133\) 12.9334 5.98364i 1.12147 0.518847i
\(134\) −17.2127 20.2643i −1.48695 1.75057i
\(135\) −0.136707 + 0.129495i −0.0117658 + 0.0111452i
\(136\) −6.72490 + 0.731377i −0.576656 + 0.0627151i
\(137\) 2.45236 6.15497i 0.209520 0.525854i −0.786232 0.617931i \(-0.787971\pi\)
0.995752 + 0.0920766i \(0.0293505\pi\)
\(138\) −1.57412 + 9.60171i −0.133998 + 0.817352i
\(139\) 4.65891 6.87138i 0.395164 0.582823i −0.577111 0.816666i \(-0.695820\pi\)
0.972274 + 0.233843i \(0.0751302\pi\)
\(140\) −1.31052 + 0.996233i −0.110759 + 0.0841971i
\(141\) 2.63872 + 0.286978i 0.222220 + 0.0241679i
\(142\) −3.54356 + 6.68386i −0.297369 + 0.560897i
\(143\) 2.52713 1.52053i 0.211330 0.127153i
\(144\) 0.608522 + 0.366135i 0.0507101 + 0.0305113i
\(145\) −0.357705 0.674703i −0.0297058 0.0560311i
\(146\) 5.46177 + 13.7080i 0.452019 + 1.13448i
\(147\) 1.07706 0.237078i 0.0888342 0.0195539i
\(148\) −34.6366 + 7.62408i −2.84711 + 0.626696i
\(149\) −7.86270 19.7339i −0.644138 1.61666i −0.779887 0.625921i \(-0.784723\pi\)
0.135749 0.990743i \(-0.456656\pi\)
\(150\) 5.23671 + 9.87749i 0.427576 + 0.806494i
\(151\) 13.1868 + 7.93422i 1.07312 + 0.645678i 0.938521 0.345222i \(-0.112196\pi\)
0.134604 + 0.990900i \(0.457024\pi\)
\(152\) −10.3476 + 6.22597i −0.839304 + 0.504992i
\(153\) −1.31354 + 2.47760i −0.106193 + 0.200302i
\(154\) −7.69824 0.837235i −0.620342 0.0674663i
\(155\) 0.239210 0.181843i 0.0192138 0.0146060i
\(156\) 4.20787 6.20615i 0.336899 0.496889i
\(157\) −1.74146 + 10.6224i −0.138983 + 0.847761i 0.821660 + 0.569978i \(0.193048\pi\)
−0.960644 + 0.277784i \(0.910400\pi\)
\(158\) −6.32647 + 15.8782i −0.503307 + 1.26321i
\(159\) 4.30866 0.468596i 0.341699 0.0371620i
\(160\) −0.878169 + 0.831846i −0.0694254 + 0.0657632i
\(161\) 7.96223 + 9.37387i 0.627512 + 0.738764i
\(162\) −2.04380 + 0.945561i −0.160576 + 0.0742903i
\(163\) −4.57146 6.74240i −0.358065 0.528106i 0.605407 0.795916i \(-0.293010\pi\)
−0.963472 + 0.267810i \(0.913700\pi\)
\(164\) 20.9630 + 7.06327i 1.63694 + 0.551549i
\(165\) 0.0608551 0.219180i 0.00473756 0.0170632i
\(166\) −9.65918 + 11.3717i −0.749698 + 0.882613i
\(167\) 1.07493 + 19.8259i 0.0831804 + 1.53417i 0.680846 + 0.732427i \(0.261612\pi\)
−0.597665 + 0.801746i \(0.703905\pi\)
\(168\) −6.50712 + 2.19250i −0.502035 + 0.169155i
\(169\) −5.60394 4.26001i −0.431073 0.327693i
\(170\) −0.863302 0.817763i −0.0662123 0.0627196i
\(171\) −0.271033 + 4.99890i −0.0207264 + 0.382276i
\(172\) 1.39466 + 5.02312i 0.106342 + 0.383010i
\(173\) −15.1903 7.02780i −1.15490 0.534313i −0.253514 0.967332i \(-0.581586\pi\)
−0.901385 + 0.433018i \(0.857449\pi\)
\(174\) −1.47751 9.01240i −0.112010 0.683229i
\(175\) 13.8014 + 3.03792i 1.04329 + 0.229645i
\(176\) −0.857905 −0.0646670
\(177\) 3.40894 6.88325i 0.256231 0.517377i
\(178\) 24.3370 1.82413
\(179\) −6.54231 1.44007i −0.488995 0.107636i −0.0363728 0.999338i \(-0.511580\pi\)
−0.452622 + 0.891702i \(0.649511\pi\)
\(180\) −0.0935604 0.570693i −0.00697358 0.0425370i
\(181\) 8.52576 + 3.94444i 0.633715 + 0.293188i 0.710325 0.703874i \(-0.248548\pi\)
−0.0766108 + 0.997061i \(0.524410\pi\)
\(182\) −4.18689 15.0798i −0.310353 1.11779i
\(183\) −0.520531 + 9.60063i −0.0384788 + 0.709699i
\(184\) −7.56672 7.16758i −0.557826 0.528401i
\(185\) −1.73110 1.31595i −0.127273 0.0967503i
\(186\) 3.40537 1.14740i 0.249694 0.0841318i
\(187\) −0.183400 3.38262i −0.0134115 0.247361i
\(188\) −5.27736 + 6.21299i −0.384891 + 0.453129i
\(189\) −0.761533 + 2.74279i −0.0553933 + 0.199509i
\(190\) −2.01174 0.677834i −0.145947 0.0491752i
\(191\) 2.07267 + 3.05697i 0.149973 + 0.221194i 0.895253 0.445557i \(-0.146994\pi\)
−0.745280 + 0.666752i \(0.767684\pi\)
\(192\) −11.8398 + 5.47766i −0.854461 + 0.395316i
\(193\) 10.1774 + 11.9817i 0.732584 + 0.862464i 0.994726 0.102565i \(-0.0327049\pi\)
−0.262142 + 0.965029i \(0.584429\pi\)
\(194\) 15.9962 15.1524i 1.14846 1.08788i
\(195\) 0.457036 0.0497057i 0.0327290 0.00355950i
\(196\) −1.25367 + 3.14647i −0.0895478 + 0.224748i
\(197\) 3.96148 24.1640i 0.282244 1.72161i −0.341414 0.939913i \(-0.610906\pi\)
0.623658 0.781698i \(-0.285646\pi\)
\(198\) 1.52663 2.25161i 0.108493 0.160015i
\(199\) 14.6581 11.1428i 1.03909 0.789894i 0.0610106 0.998137i \(-0.480568\pi\)
0.978077 + 0.208243i \(0.0667745\pi\)
\(200\) −11.9055 1.29480i −0.841844 0.0915560i
\(201\) 5.53038 10.4314i 0.390083 0.735774i
\(202\) 36.0410 21.6851i 2.53583 1.52576i
\(203\) −9.89173 5.95165i −0.694263 0.417724i
\(204\) −4.03413 7.60918i −0.282446 0.532749i
\(205\) 0.502016 + 1.25997i 0.0350623 + 0.0879998i
\(206\) −20.7680 + 4.57138i −1.44697 + 0.318503i
\(207\) −4.21967 + 0.928820i −0.293287 + 0.0645575i
\(208\) −0.641771 1.61072i −0.0444988 0.111684i
\(209\) −2.83275 5.34313i −0.195945 0.369592i
\(210\) −1.03428 0.622305i −0.0713720 0.0429431i
\(211\) −13.1017 + 7.88304i −0.901960 + 0.542691i −0.889349 0.457229i \(-0.848842\pi\)
−0.0126109 + 0.999920i \(0.504014\pi\)
\(212\) −6.23487 + 11.7602i −0.428212 + 0.807694i
\(213\) −3.33970 0.363214i −0.228832 0.0248870i
\(214\) 12.7191 9.66884i 0.869463 0.660949i
\(215\) −0.179373 + 0.264555i −0.0122331 + 0.0180425i
\(216\) 0.390257 2.38046i 0.0265536 0.161970i
\(217\) 1.68129 4.21972i 0.114134 0.286454i
\(218\) 31.2334 3.39683i 2.11539 0.230063i
\(219\) −4.75717 + 4.50623i −0.321460 + 0.304503i
\(220\) 0.452269 + 0.532452i 0.0304920 + 0.0358979i
\(221\) 6.21369 2.87476i 0.417978 0.193377i
\(222\) −14.5937 21.5241i −0.979464 1.44460i
\(223\) −13.6051 4.58408i −0.911063 0.306973i −0.175540 0.984472i \(-0.556167\pi\)
−0.735523 + 0.677500i \(0.763064\pi\)
\(224\) −4.89190 + 17.6190i −0.326854 + 1.17722i
\(225\) −3.21398 + 3.78379i −0.214265 + 0.252252i
\(226\) 1.51869 + 28.0106i 0.101022 + 1.86324i
\(227\) 25.5722 8.61627i 1.69729 0.571882i 0.706547 0.707666i \(-0.250252\pi\)
0.990738 + 0.135784i \(0.0433554\pi\)
\(228\) −12.2400 9.30462i −0.810615 0.616214i
\(229\) 11.9362 + 11.3066i 0.788765 + 0.747158i 0.971764 0.235955i \(-0.0758217\pi\)
−0.182999 + 0.983113i \(0.558580\pi\)
\(230\) 0.0991911 1.82947i 0.00654047 0.120632i
\(231\) −0.919941 3.31333i −0.0605277 0.218001i
\(232\) 8.87868 + 4.10772i 0.582914 + 0.269685i
\(233\) −1.48695 9.06997i −0.0974131 0.594193i −0.989749 0.142821i \(-0.954383\pi\)
0.892336 0.451373i \(-0.149066\pi\)
\(234\) 5.36944 + 1.18190i 0.351011 + 0.0772634i
\(235\) −0.499807 −0.0326038
\(236\) 11.6218 + 20.5288i 0.756515 + 1.33631i
\(237\) −7.59002 −0.493025
\(238\) −17.5557 3.86430i −1.13797 0.250485i
\(239\) 1.21304 + 7.39920i 0.0784648 + 0.478614i 0.996603 + 0.0823541i \(0.0262439\pi\)
−0.918138 + 0.396260i \(0.870308\pi\)
\(240\) −0.121368 0.0561510i −0.00783430 0.00362453i
\(241\) −1.33862 4.82127i −0.0862281 0.310565i 0.907841 0.419314i \(-0.137729\pi\)
−0.994069 + 0.108749i \(0.965316\pi\)
\(242\) 1.16317 21.4535i 0.0747717 1.37908i
\(243\) −0.725995 0.687699i −0.0465726 0.0441159i
\(244\) −23.5076 17.8700i −1.50492 1.14401i
\(245\) −0.196797 + 0.0663085i −0.0125729 + 0.00423629i
\(246\) 0.878138 + 16.1963i 0.0559880 + 1.03264i
\(247\) 7.91268 9.31553i 0.503472 0.592733i
\(248\) −1.02980 + 3.70899i −0.0653921 + 0.235521i
\(249\) −6.27872 2.11555i −0.397898 0.134067i
\(250\) −2.37124 3.49732i −0.149970 0.221190i
\(251\) −7.82563 + 3.62052i −0.493950 + 0.228525i −0.651018 0.759062i \(-0.725658\pi\)
0.157068 + 0.987588i \(0.449796\pi\)
\(252\) −5.65964 6.66304i −0.356524 0.419732i
\(253\) 3.78929 3.58941i 0.238231 0.225664i
\(254\) 49.7620 5.41195i 3.12235 0.339576i
\(255\) 0.195451 0.490545i 0.0122396 0.0307191i
\(256\) 1.80119 10.9868i 0.112575 0.686675i
\(257\) −10.3454 + 15.2583i −0.645325 + 0.951784i 0.354534 + 0.935043i \(0.384639\pi\)
−0.999860 + 0.0167408i \(0.994671\pi\)
\(258\) −3.04307 + 2.31328i −0.189453 + 0.144019i
\(259\) −32.6789 3.55405i −2.03057 0.220838i
\(260\) −0.661356 + 1.24745i −0.0410155 + 0.0773635i
\(261\) 3.47499 2.09083i 0.215096 0.129419i
\(262\) 32.2084 + 19.3792i 1.98984 + 1.19725i
\(263\) 3.76659 + 7.10455i 0.232258 + 0.438085i 0.972058 0.234742i \(-0.0754246\pi\)
−0.739800 + 0.672827i \(0.765080\pi\)
\(264\) 1.07859 + 2.70705i 0.0663826 + 0.166608i
\(265\) −0.797035 + 0.175441i −0.0489615 + 0.0107772i
\(266\) −31.3409 + 6.89865i −1.92163 + 0.422983i
\(267\) 4.00015 + 10.0396i 0.244805 + 0.614414i
\(268\) 16.9848 + 32.0368i 1.03751 + 1.95696i
\(269\) 23.6810 + 14.2484i 1.44386 + 0.868740i 0.999631 0.0271740i \(-0.00865081\pi\)
0.444227 + 0.895914i \(0.353478\pi\)
\(270\) 0.363345 0.218617i 0.0221124 0.0133046i
\(271\) 2.08991 3.94199i 0.126953 0.239459i −0.811885 0.583817i \(-0.801559\pi\)
0.938838 + 0.344358i \(0.111903\pi\)
\(272\) −1.97985 0.215322i −0.120046 0.0130558i
\(273\) 5.53262 4.20579i 0.334849 0.254546i
\(274\) −8.37304 + 12.3493i −0.505834 + 0.746050i
\(275\) 0.970244 5.91823i 0.0585079 0.356882i
\(276\) 4.91160 12.3272i 0.295644 0.742010i
\(277\) −25.3640 + 2.75850i −1.52397 + 0.165742i −0.831429 0.555632i \(-0.812476\pi\)
−0.692546 + 0.721374i \(0.743511\pi\)
\(278\) −13.5727 + 12.8567i −0.814035 + 0.771095i
\(279\) 1.03306 + 1.21621i 0.0618475 + 0.0728125i
\(280\) 1.17348 0.542912i 0.0701291 0.0324452i
\(281\) −10.6907 15.7676i −0.637755 0.940618i −0.999964 0.00852082i \(-0.997288\pi\)
0.362209 0.932097i \(-0.382023\pi\)
\(282\) −5.66436 1.90854i −0.337308 0.113652i
\(283\) 2.33821 8.42148i 0.138992 0.500605i −0.860975 0.508647i \(-0.830146\pi\)
0.999968 + 0.00804157i \(0.00255974\pi\)
\(284\) 6.67929 7.86347i 0.396343 0.466611i
\(285\) −0.0510360 0.941304i −0.00302311 0.0557580i
\(286\) −6.29396 + 2.12068i −0.372170 + 0.125399i
\(287\) 16.3223 + 12.4079i 0.963474 + 0.732414i
\(288\) −4.66362 4.41761i −0.274806 0.260310i
\(289\) −0.494619 + 9.12271i −0.0290952 + 0.536630i
\(290\) 0.460071 + 1.65703i 0.0270163 + 0.0973040i
\(291\) 8.87993 + 4.10830i 0.520551 + 0.240833i
\(292\) −3.25575 19.8592i −0.190528 1.16217i
\(293\) −12.7044 2.79646i −0.742201 0.163371i −0.172254 0.985053i \(-0.555105\pi\)
−0.569946 + 0.821682i \(0.693036\pi\)
\(294\) −2.48352 −0.144842
\(295\) −0.498011 + 1.35794i −0.0289953 + 0.0790621i
\(296\) 27.8563 1.61911
\(297\) 1.17977 + 0.259687i 0.0684572 + 0.0150686i
\(298\) 7.73915 + 47.2067i 0.448317 + 2.73461i
\(299\) 9.57379 + 4.42931i 0.553667 + 0.256153i
\(300\) −4.07902 14.6913i −0.235502 0.848202i
\(301\) −0.261590 + 4.82475i −0.0150778 + 0.278094i
\(302\) −25.1605 23.8333i −1.44782 1.37145i
\(303\) 14.8695 + 11.3035i 0.854232 + 0.649370i
\(304\) −3.36922 + 1.13522i −0.193238 + 0.0651094i
\(305\) −0.0980171 1.80782i −0.00561245 0.103515i
\(306\) 4.08825 4.81306i 0.233710 0.275144i
\(307\) −0.381961 + 1.37570i −0.0217997 + 0.0785154i −0.973650 0.228049i \(-0.926766\pi\)
0.951850 + 0.306564i \(0.0991793\pi\)
\(308\) 10.0080 + 3.37208i 0.570257 + 0.192142i
\(309\) −5.29933 7.81593i −0.301469 0.444633i
\(310\) −0.614121 + 0.284122i −0.0348797 + 0.0161371i
\(311\) −5.07278 5.97213i −0.287651 0.338649i 0.599290 0.800532i \(-0.295450\pi\)
−0.886941 + 0.461883i \(0.847174\pi\)
\(312\) −4.27566 + 4.05012i −0.242062 + 0.229293i
\(313\) 3.71406 0.403928i 0.209931 0.0228314i −0.00254920 0.999997i \(-0.500811\pi\)
0.212480 + 0.977165i \(0.431846\pi\)
\(314\) 8.97225 22.5186i 0.506333 1.27080i
\(315\) 0.0867170 0.528950i 0.00488595 0.0298030i
\(316\) 13.0815 19.2937i 0.735891 1.08536i
\(317\) −7.39740 + 5.62336i −0.415479 + 0.315839i −0.791946 0.610591i \(-0.790932\pi\)
0.376467 + 0.926430i \(0.377139\pi\)
\(318\) −9.70281 1.05524i −0.544107 0.0591752i
\(319\) −2.29478 + 4.32842i −0.128483 + 0.242345i
\(320\) 2.10486 1.26646i 0.117666 0.0707970i
\(321\) 6.07922 + 3.65774i 0.339309 + 0.204155i
\(322\) −12.9733 24.4703i −0.722975 1.36368i
\(323\) −5.19630 13.0417i −0.289130 0.725662i
\(324\) 2.99939 0.660215i 0.166633 0.0366786i
\(325\) 11.8373 2.60559i 0.656616 0.144532i
\(326\) 6.78994 + 17.0415i 0.376060 + 0.943840i
\(327\) 6.53494 + 12.3262i 0.361383 + 0.681641i
\(328\) −14.8877 8.95763i −0.822036 0.494602i
\(329\) −6.47401 + 3.89528i −0.356924 + 0.214754i
\(330\) −0.239942 + 0.452579i −0.0132084 + 0.0249136i
\(331\) 2.24917 + 0.244612i 0.123626 + 0.0134451i 0.169723 0.985492i \(-0.445713\pi\)
−0.0460969 + 0.998937i \(0.514678\pi\)
\(332\) 16.1992 12.3143i 0.889044 0.675834i
\(333\) 6.48052 9.55806i 0.355131 0.523778i
\(334\) 7.23361 44.1230i 0.395805 2.41431i
\(335\) −0.822905 + 2.06533i −0.0449601 + 0.112841i
\(336\) −2.00971 + 0.218569i −0.109639 + 0.0119239i
\(337\) 10.6153 10.0554i 0.578255 0.547752i −0.341684 0.939815i \(-0.610997\pi\)
0.919938 + 0.392063i \(0.128239\pi\)
\(338\) 10.2624 + 12.0818i 0.558200 + 0.657164i
\(339\) −11.3055 + 5.23046i −0.614028 + 0.284079i
\(340\) 0.910098 + 1.34229i 0.0493570 + 0.0727961i
\(341\) −1.82676 0.615507i −0.0989246 0.0333316i
\(342\) 3.01604 10.8628i 0.163089 0.587392i
\(343\) 10.8674 12.7941i 0.586784 0.690815i
\(344\) −0.221678 4.08862i −0.0119521 0.220444i
\(345\) 0.771006 0.259782i 0.0415096 0.0139862i
\(346\) 30.0057 + 22.8097i 1.61311 + 1.22626i
\(347\) −14.0487 13.3077i −0.754176 0.714393i 0.210569 0.977579i \(-0.432468\pi\)
−0.964745 + 0.263186i \(0.915227\pi\)
\(348\) −0.674312 + 12.4370i −0.0361469 + 0.666691i
\(349\) 3.42642 + 12.3408i 0.183412 + 0.660590i 0.996877 + 0.0789755i \(0.0251649\pi\)
−0.813465 + 0.581614i \(0.802421\pi\)
\(350\) −28.8825 13.3625i −1.54384 0.714255i
\(351\) 0.394983 + 2.40929i 0.0210826 + 0.128598i
\(352\) 7.57855 + 1.66817i 0.403938 + 0.0889135i
\(353\) 13.5133 0.719241 0.359621 0.933099i \(-0.382906\pi\)
0.359621 + 0.933099i \(0.382906\pi\)
\(354\) −10.8294 + 13.4879i −0.575575 + 0.716876i
\(355\) 0.632580 0.0335739
\(356\) −32.4149 7.13505i −1.71798 0.378157i
\(357\) −1.29142 7.87731i −0.0683492 0.416912i
\(358\) 13.6912 + 6.33424i 0.723605 + 0.334775i
\(359\) 0.725398 + 2.61265i 0.0382850 + 0.137890i 0.980223 0.197897i \(-0.0634113\pi\)
−0.941938 + 0.335788i \(0.890998\pi\)
\(360\) −0.0245915 + 0.453564i −0.00129609 + 0.0239049i
\(361\) −4.40133 4.16916i −0.231649 0.219429i
\(362\) −16.8410 12.8022i −0.885145 0.672870i
\(363\) 9.04128 3.04636i 0.474544 0.159893i
\(364\) 1.15553 + 21.3126i 0.0605665 + 1.11708i
\(365\) 0.798791 0.940410i 0.0418106 0.0492233i
\(366\) 5.79244 20.8625i 0.302776 1.09050i
\(367\) −16.5817 5.58702i −0.865557 0.291640i −0.148719 0.988880i \(-0.547515\pi\)
−0.716838 + 0.697239i \(0.754411\pi\)
\(368\) −1.72198 2.53973i −0.0897644 0.132393i
\(369\) −6.53704 + 3.02436i −0.340305 + 0.157442i
\(370\) 3.17012 + 3.73216i 0.164807 + 0.194026i
\(371\) −8.95671 + 8.48425i −0.465009 + 0.440480i
\(372\) −4.87207 + 0.529870i −0.252605 + 0.0274725i
\(373\) −7.36641 + 18.4883i −0.381418 + 0.957287i 0.605468 + 0.795870i \(0.292986\pi\)
−0.986886 + 0.161418i \(0.948393\pi\)
\(374\) −1.23417 + 7.52811i −0.0638175 + 0.389269i
\(375\) 1.05298 1.55303i 0.0543757 0.0801981i
\(376\) 5.09719 3.87479i 0.262868 0.199827i
\(377\) −9.84328 1.07052i −0.506955 0.0551347i
\(378\) 3.00261 5.66351i 0.154437 0.291300i
\(379\) 12.2486 7.36975i 0.629169 0.378559i −0.164966 0.986299i \(-0.552752\pi\)
0.794136 + 0.607741i \(0.207924\pi\)
\(380\) 2.48075 + 1.49262i 0.127260 + 0.0765695i
\(381\) 10.4117 + 19.6385i 0.533407 + 1.00611i
\(382\) −3.07852 7.72651i −0.157511 0.395323i
\(383\) 7.70495 1.69599i 0.393705 0.0866609i −0.0137060 0.999906i \(-0.504363\pi\)
0.407410 + 0.913245i \(0.366432\pi\)
\(384\) 16.1436 3.55346i 0.823822 0.181337i
\(385\) 0.239668 + 0.601520i 0.0122146 + 0.0306563i
\(386\) −16.5826 31.2781i −0.844031 1.59201i
\(387\) −1.45446 0.875119i −0.0739343 0.0444848i
\(388\) −25.7479 + 15.4920i −1.30715 + 0.786487i
\(389\) 1.34054 2.52853i 0.0679681 0.128201i −0.847200 0.531275i \(-0.821713\pi\)
0.915168 + 0.403073i \(0.132058\pi\)
\(390\) −1.02921 0.111934i −0.0521162 0.00566798i
\(391\) 9.64574 7.33250i 0.487806 0.370820i
\(392\) 1.49294 2.20192i 0.0754047 0.111214i
\(393\) −2.70045 + 16.4720i −0.136220 + 0.830904i
\(394\) −20.4101 + 51.2256i −1.02825 + 2.58071i
\(395\) 1.42084 0.154526i 0.0714902 0.00777503i
\(396\) −2.69347 + 2.55139i −0.135352 + 0.128212i
\(397\) 17.0276 + 20.0464i 0.854589 + 1.00610i 0.999860 + 0.0167080i \(0.00531856\pi\)
−0.145272 + 0.989392i \(0.546406\pi\)
\(398\) −37.6316 + 17.4102i −1.88630 + 0.872696i
\(399\) −7.99721 11.7950i −0.400361 0.590488i
\(400\) −3.34115 1.12577i −0.167058 0.0562883i
\(401\) −8.57571 + 30.8869i −0.428251 + 1.54242i 0.363512 + 0.931590i \(0.381578\pi\)
−0.791762 + 0.610830i \(0.790836\pi\)
\(402\) −17.2127 + 20.2643i −0.858491 + 1.01069i
\(403\) −0.210920 3.89020i −0.0105067 0.193785i
\(404\) −54.3612 + 18.3164i −2.70457 + 0.911276i
\(405\) 0.149906 + 0.113956i 0.00744889 + 0.00566250i
\(406\) 18.8735 + 17.8779i 0.936676 + 0.887267i
\(407\) −0.755237 + 13.9295i −0.0374357 + 0.690461i
\(408\) 1.80971 + 6.51799i 0.0895941 + 0.322689i
\(409\) −4.55390 2.10686i −0.225176 0.104177i 0.304058 0.952654i \(-0.401658\pi\)
−0.529234 + 0.848476i \(0.677520\pi\)
\(410\) −0.494127 3.01404i −0.0244032 0.148853i
\(411\) −6.47063 1.42429i −0.319173 0.0702552i
\(412\) 29.0015 1.42880
\(413\) 4.13243 + 21.4707i 0.203344 + 1.05650i
\(414\) 9.72988 0.478198
\(415\) 1.21844 + 0.268198i 0.0598107 + 0.0131653i
\(416\) 2.53728 + 15.4767i 0.124400 + 0.758807i
\(417\) −7.53459 3.48587i −0.368970 0.170704i
\(418\) 3.64341 + 13.1224i 0.178205 + 0.641837i
\(419\) −0.505556 + 9.32443i −0.0246980 + 0.455528i 0.959861 + 0.280476i \(0.0904922\pi\)
−0.984559 + 0.175052i \(0.943991\pi\)
\(420\) 1.19513 + 1.13209i 0.0583163 + 0.0552401i
\(421\) −6.87990 5.22996i −0.335306 0.254893i 0.423949 0.905686i \(-0.360643\pi\)
−0.759255 + 0.650793i \(0.774437\pi\)
\(422\) 32.6305 10.9945i 1.58843 0.535204i
\(423\) −0.143700 2.65039i −0.00698692 0.128866i
\(424\) 6.76831 7.96827i 0.328698 0.386973i
\(425\) 3.72450 13.4144i 0.180665 0.650695i
\(426\) 7.16910 + 2.41555i 0.347344 + 0.117034i
\(427\) −15.3590 22.6529i −0.743275 1.09625i
\(428\) −19.7755 + 9.14914i −0.955887 + 0.442240i
\(429\) −1.90934 2.24785i −0.0921838 0.108527i
\(430\) 0.522562 0.494997i 0.0252002 0.0238709i
\(431\) −9.92076 + 1.07895i −0.477866 + 0.0519711i −0.343883 0.939013i \(-0.611742\pi\)
−0.133983 + 0.990984i \(0.542777\pi\)
\(432\) 0.262864 0.659739i 0.0126471 0.0317417i
\(433\) 0.263231 1.60564i 0.0126501 0.0771621i −0.979747 0.200239i \(-0.935828\pi\)
0.992397 + 0.123077i \(0.0392763\pi\)
\(434\) −5.74039 + 8.46645i −0.275548 + 0.406403i
\(435\) −0.607945 + 0.462148i −0.0291487 + 0.0221583i
\(436\) −42.5961 4.63261i −2.03999 0.221862i
\(437\) 10.1319 19.1107i 0.484673 0.914190i
\(438\) 12.6438 7.60752i 0.604144 0.363502i
\(439\) −7.63965 4.59663i −0.364621 0.219385i 0.321439 0.946930i \(-0.395834\pi\)
−0.686060 + 0.727545i \(0.740661\pi\)
\(440\) −0.257023 0.484797i −0.0122531 0.0231118i
\(441\) −0.408203 1.02451i −0.0194383 0.0487864i
\(442\) −15.0573 + 3.31437i −0.716204 + 0.157648i
\(443\) −19.6977 + 4.33578i −0.935864 + 0.205999i −0.656621 0.754221i \(-0.728015\pi\)
−0.279244 + 0.960220i \(0.590084\pi\)
\(444\) 13.1272 + 32.9468i 0.622990 + 1.56359i
\(445\) −0.953218 1.79796i −0.0451868 0.0852314i
\(446\) 27.7022 + 16.6679i 1.31174 + 0.789247i
\(447\) −18.2019 + 10.9517i −0.860920 + 0.517998i
\(448\) 17.3942 32.8089i 0.821797 1.55007i
\(449\) 29.1937 + 3.17501i 1.37774 + 0.149838i 0.766822 0.641860i \(-0.221837\pi\)
0.610914 + 0.791697i \(0.290802\pi\)
\(450\) 8.90016 6.76573i 0.419558 0.318939i
\(451\) 4.88290 7.20173i 0.229927 0.339116i
\(452\) 6.18930 37.7531i 0.291120 1.77576i
\(453\) 5.69632 14.2967i 0.267636 0.671717i
\(454\) −60.4115 + 6.57015i −2.83525 + 0.308352i
\(455\) −0.950072 + 0.899956i −0.0445400 + 0.0421906i
\(456\) 7.81801 + 9.20407i 0.366112 + 0.431020i
\(457\) 15.9315 7.37068i 0.745243 0.344786i −0.0102461 0.999948i \(-0.503261\pi\)
0.755489 + 0.655161i \(0.227399\pi\)
\(458\) −20.7775 30.6446i −0.970871 1.43193i
\(459\) 2.65747 + 0.895405i 0.124040 + 0.0417939i
\(460\) −0.668474 + 2.40763i −0.0311678 + 0.112256i
\(461\) 25.3817 29.8816i 1.18214 1.39173i 0.280159 0.959953i \(-0.409613\pi\)
0.901983 0.431772i \(-0.142111\pi\)
\(462\) 0.419232 + 7.73228i 0.0195044 + 0.359738i
\(463\) 27.6598 9.31967i 1.28546 0.433122i 0.408092 0.912941i \(-0.366194\pi\)
0.877368 + 0.479819i \(0.159298\pi\)
\(464\) 2.29285 + 1.74298i 0.106443 + 0.0809159i
\(465\) −0.218147 0.206640i −0.0101163 0.00958271i
\(466\) −1.12055 + 20.6672i −0.0519083 + 0.957391i
\(467\) 4.87516 + 17.5587i 0.225596 + 0.812522i 0.986514 + 0.163675i \(0.0523347\pi\)
−0.760919 + 0.648847i \(0.775251\pi\)
\(468\) −6.80515 3.14840i −0.314568 0.145535i
\(469\) 5.43725 + 33.1657i 0.251069 + 1.53145i
\(470\) 1.09922 + 0.241956i 0.0507030 + 0.0111606i
\(471\) 10.7642 0.495989
\(472\) −5.44861 17.7096i −0.250793 0.815148i
\(473\) 2.05052 0.0942832
\(474\) 16.6926 + 3.67432i 0.766716 + 0.168767i
\(475\) −4.02088 24.5263i −0.184491 1.12534i
\(476\) 22.2498 + 10.2939i 1.01982 + 0.471819i
\(477\) −1.15949 4.17609i −0.0530893 0.191210i
\(478\) 0.914130 16.8601i 0.0418113 0.771165i
\(479\) 7.98750 + 7.56617i 0.364958 + 0.345707i 0.848101 0.529835i \(-0.177746\pi\)
−0.483142 + 0.875542i \(0.660505\pi\)
\(480\) 0.962960 + 0.732023i 0.0439529 + 0.0334121i
\(481\) −26.7178 + 9.00227i −1.21823 + 0.410468i
\(482\) 0.610031 + 11.2514i 0.0277861 + 0.512485i
\(483\) 7.96223 9.37387i 0.362294 0.426526i
\(484\) −7.83893 + 28.2333i −0.356315 + 1.28333i
\(485\) −1.74595 0.588279i −0.0792795 0.0267124i
\(486\) 1.26375 + 1.86390i 0.0573250 + 0.0845481i
\(487\) 4.93060 2.28114i 0.223427 0.103368i −0.304983 0.952358i \(-0.598651\pi\)
0.528410 + 0.848990i \(0.322789\pi\)
\(488\) 15.0149 + 17.6769i 0.679691 + 0.800194i
\(489\) −5.91400 + 5.60204i −0.267440 + 0.253333i
\(490\) 0.464911 0.0505621i 0.0210025 0.00228416i
\(491\) 7.83109 19.6546i 0.353412 0.886998i −0.639570 0.768733i \(-0.720888\pi\)
0.992982 0.118265i \(-0.0377332\pi\)
\(492\) 3.57878 21.8296i 0.161344 0.984154i
\(493\) −6.38221 + 9.41306i −0.287440 + 0.423943i
\(494\) −21.9119 + 16.6570i −0.985861 + 0.749432i
\(495\) −0.226138 0.0245940i −0.0101641 0.00110542i
\(496\) −0.530827 + 1.00125i −0.0238348 + 0.0449573i
\(497\) 8.19384 4.93007i 0.367544 0.221144i
\(498\) 12.7845 + 7.69220i 0.572889 + 0.344696i
\(499\) −12.8597 24.2559i −0.575678 1.08584i −0.984854 0.173388i \(-0.944528\pi\)
0.409175 0.912456i \(-0.365816\pi\)
\(500\) 2.13296 + 5.35333i 0.0953890 + 0.239408i
\(501\) 19.3908 4.26824i 0.866317 0.190691i
\(502\) 18.9635 4.17417i 0.846381 0.186302i
\(503\) 6.68512 + 16.7784i 0.298075 + 0.748112i 0.999379 + 0.0352490i \(0.0112224\pi\)
−0.701304 + 0.712863i \(0.747398\pi\)
\(504\) 3.21636 + 6.06669i 0.143268 + 0.270232i
\(505\) −3.01368 1.81327i −0.134107 0.0806895i
\(506\) −10.0713 + 6.05973i −0.447726 + 0.269388i
\(507\) −3.29727 + 6.21931i −0.146437 + 0.276209i
\(508\) −67.8656 7.38083i −3.01105 0.327471i
\(509\) 16.8435 12.8041i 0.746577 0.567533i −0.161232 0.986916i \(-0.551547\pi\)
0.907809 + 0.419384i \(0.137754\pi\)
\(510\) −0.667324 + 0.984229i −0.0295496 + 0.0435824i
\(511\) 3.01761 18.4066i 0.133491 0.814261i
\(512\) 2.95676 7.42091i 0.130672 0.327961i
\(513\) 4.97690 0.541270i 0.219735 0.0238977i
\(514\) 30.1388 28.5490i 1.32937 1.25924i
\(515\) 1.15115 + 1.35524i 0.0507258 + 0.0597190i
\(516\) 4.73132 2.18894i 0.208285 0.0963628i
\(517\) 1.79939 + 2.65390i 0.0791372 + 0.116719i
\(518\) 70.1496 + 23.6362i 3.08220 + 1.03851i
\(519\) −4.47769 + 16.1272i −0.196549 + 0.707905i
\(520\) 0.717940 0.845224i 0.0314837 0.0370655i
\(521\) 0.00221862 + 0.0409200i 9.71995e−5 + 0.00179274i 0.998582 0.0532425i \(-0.0169556\pi\)
−0.998484 + 0.0550353i \(0.982473\pi\)
\(522\) −8.65465 + 2.91609i −0.378804 + 0.127634i
\(523\) −26.7265 20.3169i −1.16867 0.888398i −0.173331 0.984864i \(-0.555453\pi\)
−0.995336 + 0.0964659i \(0.969246\pi\)
\(524\) −37.2174 35.2542i −1.62585 1.54009i
\(525\) 0.765081 14.1111i 0.0333909 0.615858i
\(526\) −4.84450 17.4483i −0.211230 0.760782i
\(527\) −4.06127 1.87894i −0.176912 0.0818481i
\(528\) 0.138794 + 0.846603i 0.00604021 + 0.0368437i
\(529\) −4.23039 0.931179i −0.183930 0.0404861i
\(530\) 1.83783 0.0798304
\(531\) −7.34408 2.25044i −0.318706 0.0976610i
\(532\) 43.7660 1.89750
\(533\) 17.1740 + 3.78029i 0.743890 + 0.163743i
\(534\) −3.93729 24.0164i −0.170383 1.03929i
\(535\) −1.21249 0.560957i −0.0524204 0.0242523i
\(536\) −7.61940 27.4426i −0.329108 1.18534i
\(537\) −0.362673 + 6.68910i −0.0156505 + 0.288656i
\(538\) −45.1836 42.8002i −1.94800 1.84525i
\(539\) 1.06059 + 0.806241i 0.0456829 + 0.0347272i
\(540\) −0.548039 + 0.184656i −0.0235838 + 0.00794632i
\(541\) −2.34105 43.1781i −0.100650 1.85637i −0.418483 0.908225i \(-0.637438\pi\)
0.317833 0.948147i \(-0.397045\pi\)
\(542\) −6.50461 + 7.65782i −0.279397 + 0.328932i
\(543\) 2.51316 9.05158i 0.107850 0.388441i
\(544\) 17.0709 + 5.75187i 0.731910 + 0.246609i
\(545\) −1.47428 2.17440i −0.0631513 0.0931411i
\(546\) −14.2038 + 6.57138i −0.607867 + 0.281229i
\(547\) −1.72272 2.02814i −0.0736582 0.0867171i 0.724099 0.689696i \(-0.242256\pi\)
−0.797757 + 0.602979i \(0.793980\pi\)
\(548\) 14.7727 13.9935i 0.631061 0.597772i
\(549\) 9.55837 1.03954i 0.407941 0.0443663i
\(550\) −4.99884 + 12.5461i −0.213151 + 0.534970i
\(551\) −3.28463 + 20.0354i −0.139930 + 0.853536i
\(552\) −5.84899 + 8.62662i −0.248950 + 0.367173i
\(553\) 17.1999 13.0750i 0.731413 0.556006i
\(554\) 57.1179 + 6.21195i 2.42671 + 0.263920i
\(555\) −1.01855 + 1.92119i −0.0432351 + 0.0815500i
\(556\) 21.8470 13.1449i 0.926519 0.557468i
\(557\) 19.7528 + 11.8849i 0.836953 + 0.503578i 0.868363 0.495929i \(-0.165172\pi\)
−0.0314102 + 0.999507i \(0.510000\pi\)
\(558\) −1.68322 3.17488i −0.0712563 0.134404i
\(559\) 1.53393 + 3.84987i 0.0648783 + 0.162832i
\(560\) 0.371764 0.0818315i 0.0157099 0.00345801i
\(561\) −3.30839 + 0.728231i −0.139680 + 0.0307459i
\(562\) 15.8788 + 39.8528i 0.669807 + 1.68109i
\(563\) −14.0311 26.4654i −0.591339 1.11538i −0.980924 0.194393i \(-0.937726\pi\)
0.389585 0.920990i \(-0.372618\pi\)
\(564\) 6.98492 + 4.20269i 0.294118 + 0.176965i
\(565\) 2.00987 1.20930i 0.0845561 0.0508757i
\(566\) −9.21921 + 17.3893i −0.387512 + 0.730926i
\(567\) 2.82986 + 0.307766i 0.118843 + 0.0129250i
\(568\) −6.45126 + 4.90412i −0.270689 + 0.205772i
\(569\) −8.33960 + 12.3000i −0.349614 + 0.515642i −0.961317 0.275445i \(-0.911175\pi\)
0.611702 + 0.791088i \(0.290485\pi\)
\(570\) −0.343441 + 2.09490i −0.0143852 + 0.0877457i
\(571\) −10.9394 + 27.4559i −0.457800 + 1.14899i 0.501136 + 0.865369i \(0.332916\pi\)
−0.958936 + 0.283623i \(0.908464\pi\)
\(572\) 9.00478 0.979329i 0.376509 0.0409478i
\(573\) 2.68137 2.53993i 0.112016 0.106107i
\(574\) −29.8907 35.1900i −1.24761 1.46880i
\(575\) 19.4677 9.00672i 0.811859 0.375606i
\(576\) 7.32096 + 10.7976i 0.305040 + 0.449900i
\(577\) −8.12741 2.73844i −0.338349 0.114003i 0.144998 0.989432i \(-0.453682\pi\)
−0.483347 + 0.875429i \(0.660579\pi\)
\(578\) 5.50410 19.8240i 0.228940 0.824568i
\(579\) 10.1774 11.9817i 0.422958 0.497944i
\(580\) −0.126974 2.34191i −0.00527233 0.0972424i
\(581\) 17.8727 6.02201i 0.741484 0.249835i
\(582\) −17.5407 13.3341i −0.727083 0.552714i
\(583\) 3.80103 + 3.60053i 0.157423 + 0.149119i
\(584\) −0.855746 + 15.7833i −0.0354110 + 0.653118i
\(585\) −0.122991 0.442974i −0.00508506 0.0183147i
\(586\) 26.5868 + 12.3004i 1.09829 + 0.508124i
\(587\) 7.71692 + 47.0711i 0.318511 + 1.94283i 0.332970 + 0.942938i \(0.391949\pi\)
−0.0144584 + 0.999895i \(0.504602\pi\)
\(588\) 3.30784 + 0.728112i 0.136413 + 0.0300268i
\(589\) −7.98863 −0.329166
\(590\) 1.75264 2.74540i 0.0721551 0.113026i
\(591\) −24.4865 −1.00724
\(592\) 8.00933 + 1.76299i 0.329181 + 0.0724583i
\(593\) 6.49226 + 39.6010i 0.266605 + 1.62622i 0.692479 + 0.721438i \(0.256518\pi\)
−0.425874 + 0.904782i \(0.640033\pi\)
\(594\) −2.46893 1.14225i −0.101302 0.0468671i
\(595\) 0.402126 + 1.44833i 0.0164856 + 0.0593757i
\(596\) 3.53203 65.1444i 0.144677 2.66842i
\(597\) −13.3675 12.6623i −0.547094 0.518235i
\(598\) −18.9112 14.3759i −0.773338 0.587876i
\(599\) 17.7351 5.97564i 0.724635 0.244158i 0.0672746 0.997734i \(-0.478570\pi\)
0.657360 + 0.753577i \(0.271673\pi\)
\(600\) 0.648350 + 11.9581i 0.0264688 + 0.488188i
\(601\) 21.4320 25.2317i 0.874231 1.02922i −0.125081 0.992146i \(-0.539919\pi\)
0.999312 0.0370779i \(-0.0118050\pi\)
\(602\) 2.91096 10.4843i 0.118642 0.427310i
\(603\) −11.1887 3.76991i −0.455639 0.153523i
\(604\) 26.5243 + 39.1205i 1.07926 + 1.59179i
\(605\) −1.63049 + 0.754346i −0.0662889 + 0.0306685i
\(606\) −27.2303 32.0579i −1.10615 1.30226i
\(607\) −6.86245 + 6.50046i −0.278538 + 0.263846i −0.814197 0.580589i \(-0.802822\pi\)
0.535658 + 0.844435i \(0.320064\pi\)
\(608\) 31.9704 3.47699i 1.29657 0.141010i
\(609\) −4.27295 + 10.7243i −0.173149 + 0.434570i
\(610\) −0.659595 + 4.02335i −0.0267062 + 0.162901i
\(611\) −3.63666 + 5.36367i −0.147123 + 0.216991i
\(612\) −6.85629 + 5.21201i −0.277149 + 0.210683i
\(613\) −23.5241 2.55840i −0.950129 0.103333i −0.380089 0.924950i \(-0.624107\pi\)
−0.570040 + 0.821617i \(0.693072\pi\)
\(614\) 1.50601 2.84065i 0.0607778 0.114639i
\(615\) 1.16215 0.699242i 0.0468624 0.0281962i
\(616\) −7.10754 4.27647i −0.286371 0.172304i
\(617\) 13.9678 + 26.3461i 0.562323 + 1.06065i 0.987806 + 0.155687i \(0.0497592\pi\)
−0.425484 + 0.904966i \(0.639896\pi\)
\(618\) 7.87104 + 19.7548i 0.316620 + 0.794656i
\(619\) −14.4147 + 3.17292i −0.579376 + 0.127530i −0.494983 0.868902i \(-0.664826\pi\)
−0.0843922 + 0.996433i \(0.526895\pi\)
\(620\) 0.901256 0.198382i 0.0361953 0.00796719i
\(621\) 1.59925 + 4.01382i 0.0641757 + 0.161069i
\(622\) 8.26536 + 15.5901i 0.331411 + 0.625107i
\(623\) −26.3596 15.8601i −1.05608 0.635420i
\(624\) −1.48568 + 0.893902i −0.0594747 + 0.0357847i
\(625\) 11.4617 21.6190i 0.458467 0.864760i
\(626\) −8.36380 0.909618i −0.334285 0.0363556i
\(627\) −4.81446 + 3.65985i −0.192271 + 0.146161i
\(628\) −18.5523 + 27.3625i −0.740315 + 1.09188i
\(629\) −5.23904 + 31.9567i −0.208894 + 1.27420i
\(630\) −0.446779 + 1.12133i −0.0178001 + 0.0446749i
\(631\) −19.4108 + 2.11105i −0.772730 + 0.0840395i −0.485985 0.873967i \(-0.661539\pi\)
−0.286746 + 0.958007i \(0.592573\pi\)
\(632\) −13.2922 + 12.5911i −0.528736 + 0.500845i
\(633\) 9.89882 + 11.6538i 0.393443 + 0.463197i
\(634\) 18.9912 8.78628i 0.754238 0.348948i
\(635\) −2.34887 3.46433i −0.0932122 0.137478i
\(636\) 12.6140 + 4.25014i 0.500177 + 0.168529i
\(637\) −0.720329 + 2.59439i −0.0285405 + 0.102794i
\(638\) 7.14225 8.40850i 0.282764 0.332896i
\(639\) 0.181874 + 3.35446i 0.00719481 + 0.132700i
\(640\) −2.94970 + 0.993870i −0.116597 + 0.0392862i
\(641\) −34.9584 26.5747i −1.38077 1.04964i −0.991720 0.128421i \(-0.959009\pi\)
−0.389053 0.921215i \(-0.627198\pi\)
\(642\) −11.5992 10.9873i −0.457784 0.433636i
\(643\) −2.32044 + 42.7980i −0.0915093 + 1.68779i 0.488016 + 0.872835i \(0.337721\pi\)
−0.579525 + 0.814954i \(0.696762\pi\)
\(644\) 10.1053 + 36.3959i 0.398203 + 1.43420i
\(645\) 0.290089 + 0.134209i 0.0114222 + 0.00528449i
\(646\) 5.11465 + 31.1980i 0.201233 + 1.22747i
\(647\) −17.5691 3.86726i −0.690714 0.152038i −0.144276 0.989537i \(-0.546085\pi\)
−0.546438 + 0.837500i \(0.684016\pi\)
\(648\) −2.41224 −0.0947618
\(649\) 9.00338 2.24444i 0.353414 0.0881019i
\(650\) −27.2950 −1.07060
\(651\) −4.43614 0.976468i −0.173866 0.0382708i
\(652\) −4.04747 24.6885i −0.158511 0.966876i
\(653\) 5.31290 + 2.45801i 0.207910 + 0.0961893i 0.521080 0.853508i \(-0.325529\pi\)
−0.313171 + 0.949697i \(0.601391\pi\)
\(654\) −8.40508 30.2724i −0.328665 1.18374i
\(655\) 0.170165 3.13851i 0.00664891 0.122632i
\(656\) −3.71364 3.51775i −0.144993 0.137345i
\(657\) 5.21649 + 3.96547i 0.203515 + 0.154708i
\(658\) 16.1239 5.43277i 0.628574 0.211791i
\(659\) 0.483334 + 8.91458i 0.0188280 + 0.347263i 0.992735 + 0.120317i \(0.0383912\pi\)
−0.973907 + 0.226945i \(0.927126\pi\)
\(660\) 0.452269 0.532452i 0.0176045 0.0207257i
\(661\) −3.81278 + 13.7324i −0.148300 + 0.534128i 0.851650 + 0.524111i \(0.175602\pi\)
−0.999950 + 0.0100169i \(0.996811\pi\)
\(662\) −4.82815 1.62679i −0.187651 0.0632271i
\(663\) −3.84215 5.66675i −0.149217 0.220078i
\(664\) −14.5053 + 6.71085i −0.562913 + 0.260431i
\(665\) 1.73720 + 2.04519i 0.0673657 + 0.0793090i
\(666\) −18.8795 + 17.8836i −0.731567 + 0.692977i
\(667\) −17.4199 + 1.89452i −0.674499 + 0.0733562i
\(668\) −22.5704 + 56.6475i −0.873277 + 2.19176i
\(669\) −2.32264 + 14.1675i −0.0897984 + 0.547746i
\(670\) 2.80962 4.14389i 0.108545 0.160092i
\(671\) −9.24640 + 7.02893i −0.356953 + 0.271349i
\(672\) 18.1783 + 1.97701i 0.701245 + 0.0762650i
\(673\) −10.8367 + 20.4402i −0.417724 + 0.787911i −0.999680 0.0253094i \(-0.991943\pi\)
0.581956 + 0.813221i \(0.302288\pi\)
\(674\) −28.2139 + 16.9758i −1.08676 + 0.653882i
\(675\) 4.25390 + 2.55949i 0.163733 + 0.0985148i
\(676\) −10.1265 19.1007i −0.389482 0.734642i
\(677\) 0.0308850 + 0.0775154i 0.00118701 + 0.00297916i 0.929569 0.368648i \(-0.120179\pi\)
−0.928382 + 0.371627i \(0.878800\pi\)
\(678\) 27.3959 6.03030i 1.05213 0.231592i
\(679\) −27.2002 + 5.98721i −1.04385 + 0.229768i
\(680\) −0.471475 1.18331i −0.0180802 0.0453780i
\(681\) −12.6399 23.8414i −0.484361 0.913603i
\(682\) 3.71959 + 2.23800i 0.142431 + 0.0856976i
\(683\) −1.25125 + 0.752854i −0.0478779 + 0.0288072i −0.539292 0.842119i \(-0.681308\pi\)
0.491414 + 0.870926i \(0.336480\pi\)
\(684\) −7.20183 + 13.5841i −0.275369 + 0.519401i
\(685\) 1.24029 + 0.134890i 0.0473890 + 0.00515387i
\(686\) −30.0940 + 22.8769i −1.14900 + 0.873443i
\(687\) 9.22655 13.6081i 0.352015 0.519183i
\(688\) 0.195025 1.18960i 0.00743527 0.0453531i
\(689\) −3.91659 + 9.82990i −0.149210 + 0.374490i
\(690\) −1.82142 + 0.198091i −0.0693402 + 0.00754120i
\(691\) 25.0874 23.7641i 0.954370 0.904028i −0.0410948 0.999155i \(-0.513085\pi\)
0.995465 + 0.0951277i \(0.0303259\pi\)
\(692\) −33.2778 39.1776i −1.26503 1.48931i
\(693\) −3.12085 + 1.44386i −0.118551 + 0.0548477i
\(694\) 24.4549 + 36.0683i 0.928295 + 1.36913i
\(695\) 1.48143 + 0.499152i 0.0561939 + 0.0189339i
\(696\) 2.61719 9.42627i 0.0992044 0.357302i
\(697\) 13.0762 15.3945i 0.495295 0.583107i
\(698\) −1.56147 28.7997i −0.0591027 1.09008i
\(699\) −8.70992 + 2.93472i −0.329440 + 0.111001i
\(700\) 34.5516 + 26.2654i 1.30593 + 0.992740i
\(701\) −6.03961 5.72103i −0.228113 0.216080i 0.565103 0.825020i \(-0.308836\pi\)
−0.793216 + 0.608940i \(0.791595\pi\)
\(702\) 0.297655 5.48992i 0.0112343 0.207204i
\(703\) 15.4662 + 55.7043i 0.583320 + 2.10093i
\(704\) −14.3026 6.61708i −0.539049 0.249391i
\(705\) 0.0808597 + 0.493222i 0.00304535 + 0.0185758i
\(706\) −29.7196 6.54178i −1.11851 0.246203i
\(707\) −53.1682 −1.99960
\(708\) 18.3782 14.7899i 0.690695 0.555839i
\(709\) −34.8605 −1.30921 −0.654607 0.755970i \(-0.727166\pi\)
−0.654607 + 0.755970i \(0.727166\pi\)
\(710\) −1.39122 0.306231i −0.0522116 0.0114926i
\(711\) 1.22793 + 7.49003i 0.0460509 + 0.280898i
\(712\) 23.6600 + 10.9463i 0.886697 + 0.410230i
\(713\) −1.84452 6.64336i −0.0690778 0.248796i
\(714\) −0.973199 + 17.9496i −0.0364211 + 0.671747i
\(715\) 0.403190 + 0.381921i 0.0150784 + 0.0142831i
\(716\) −16.3786 12.4507i −0.612095 0.465303i
\(717\) 7.10548 2.39411i 0.265359 0.0894098i
\(718\) −0.330576 6.09711i −0.0123370 0.227542i
\(719\) −1.81076 + 2.13179i −0.0675301 + 0.0795025i −0.794890 0.606754i \(-0.792471\pi\)
0.727360 + 0.686256i \(0.240747\pi\)
\(720\) −0.0357761 + 0.128854i −0.00133330 + 0.00480210i
\(721\) 25.4731 + 8.58288i 0.948668 + 0.319643i
\(722\) 7.66147 + 11.2998i 0.285130 + 0.420536i
\(723\) −4.54119 + 2.10098i −0.168889 + 0.0781363i
\(724\) 18.6776 + 21.9889i 0.694146 + 0.817212i
\(725\) −14.6170 + 13.8460i −0.542862 + 0.514226i
\(726\) −21.3591 + 2.32294i −0.792709 + 0.0862123i
\(727\) −2.60923 + 6.54867i −0.0967710 + 0.242877i −0.969391 0.245524i \(-0.921040\pi\)
0.872620 + 0.488400i \(0.162419\pi\)
\(728\) 2.71218 16.5435i 0.100520 0.613145i
\(729\) −0.561187 + 0.827689i −0.0207847 + 0.0306551i
\(730\) −2.21202 + 1.68153i −0.0818704 + 0.0622363i
\(731\) 4.73215 + 0.514652i 0.175025 + 0.0190351i
\(732\) −13.8315 + 26.0889i −0.511226 + 0.964274i
\(733\) 6.20882 3.73573i 0.229328 0.137982i −0.396253 0.918141i \(-0.629690\pi\)
0.625581 + 0.780159i \(0.284862\pi\)
\(734\) 33.7631 + 20.3146i 1.24622 + 0.749825i
\(735\) 0.0972731 + 0.183477i 0.00358797 + 0.00676764i
\(736\) 10.2732 + 25.7838i 0.378675 + 0.950403i
\(737\) 13.9292 3.06606i 0.513090 0.112940i
\(738\) 15.8409 3.48684i 0.583111 0.128352i
\(739\) −10.3285 25.9226i −0.379940 0.953577i −0.987259 0.159119i \(-0.949135\pi\)
0.607320 0.794458i \(-0.292245\pi\)
\(740\) −3.12816 5.90034i −0.114993 0.216901i
\(741\) −10.4729 6.30136i −0.384733 0.231486i
\(742\) 23.8055 14.3233i 0.873929 0.525826i
\(743\) 22.3684 42.1914i 0.820618 1.54785i −0.0158751 0.999874i \(-0.505053\pi\)
0.836494 0.547977i \(-0.184602\pi\)
\(744\) 3.82673 + 0.416182i 0.140295 + 0.0152580i
\(745\) 3.18440 2.42072i 0.116667 0.0886882i
\(746\) 25.1509 37.0949i 0.920842 1.35814i
\(747\) −1.07189 + 6.53827i −0.0392186 + 0.239223i
\(748\) 3.85089 9.66499i 0.140802 0.353387i
\(749\) −20.0773 + 2.18353i −0.733607 + 0.0797846i
\(750\) −3.06762 + 2.90580i −0.112014 + 0.106105i
\(751\) −12.4983 14.7141i −0.456069 0.536926i 0.485280 0.874359i \(-0.338717\pi\)
−0.941350 + 0.337432i \(0.890442\pi\)
\(752\) 1.71079 0.791496i 0.0623861 0.0288629i
\(753\) 4.83888 + 7.13681i 0.176338 + 0.260080i
\(754\) 21.1299 + 7.11950i 0.769506 + 0.259277i
\(755\) −0.775275 + 2.79229i −0.0282151 + 0.101622i
\(756\) −5.65964 + 6.66304i −0.205839 + 0.242332i
\(757\) 0.832112 + 15.3474i 0.0302436 + 0.557811i 0.973913 + 0.226921i \(0.0728660\pi\)
−0.943669 + 0.330890i \(0.892651\pi\)
\(758\) −30.5058 + 10.2786i −1.10802 + 0.373336i
\(759\) −4.15516 3.15867i −0.150823 0.114653i
\(760\) −1.65090 1.56382i −0.0598846 0.0567257i
\(761\) −1.82847 + 33.7241i −0.0662819 + 1.22250i 0.756444 + 0.654059i \(0.226935\pi\)
−0.822726 + 0.568439i \(0.807548\pi\)
\(762\) −13.3913 48.2309i −0.485114 1.74722i
\(763\) −36.0428 16.6752i −1.30484 0.603682i
\(764\) 1.83510 + 11.1936i 0.0663917 + 0.404971i
\(765\) −0.515703 0.113515i −0.0186453 0.00410414i
\(766\) −17.7664 −0.641925
\(767\) 10.9491 + 15.2249i 0.395349 + 0.549740i
\(768\) −11.1335 −0.401744
\(769\) 30.1110 + 6.62792i 1.08583 + 0.239009i 0.721607 0.692303i \(-0.243404\pi\)
0.364222 + 0.931312i \(0.381335\pi\)
\(770\) −0.235901 1.43894i −0.00850130 0.0518556i
\(771\) 16.7309 + 7.74056i 0.602550 + 0.278769i
\(772\) 12.9166 + 46.5214i 0.464879 + 1.67434i