Properties

Label 41.2.g.a.21.1
Level 41
Weight 2
Character 41.21
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 41 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 41.g (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.327386648287\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(3\) over \(\Q(\zeta_{20})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 21.1
Character \(\chi\) = 41.21
Dual form 41.2.g.a.2.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.05153 - 0.666584i) q^{2} +(1.49921 + 1.49921i) q^{3} +(2.14642 + 1.55947i) q^{4} +(1.72514 - 2.37446i) q^{5} +(-2.07633 - 4.07502i) q^{6} +(-1.11329 + 2.18496i) q^{7} +(-0.828108 - 1.13979i) q^{8} +1.49525i q^{9} +O(q^{10})\) \(q+(-2.05153 - 0.666584i) q^{2} +(1.49921 + 1.49921i) q^{3} +(2.14642 + 1.55947i) q^{4} +(1.72514 - 2.37446i) q^{5} +(-2.07633 - 4.07502i) q^{6} +(-1.11329 + 2.18496i) q^{7} +(-0.828108 - 1.13979i) q^{8} +1.49525i q^{9} +(-5.12196 + 3.72132i) q^{10} +(-6.07021 - 0.961426i) q^{11} +(0.879968 + 5.55590i) q^{12} +(0.531087 - 0.270602i) q^{13} +(3.74042 - 3.74042i) q^{14} +(6.14615 - 0.973455i) q^{15} +(-0.700597 - 2.15622i) q^{16} +(0.0921689 - 0.581932i) q^{17} +(0.996707 - 3.06755i) q^{18} +(-1.67787 - 0.854919i) q^{19} +(7.40577 - 2.40628i) q^{20} +(-4.94477 + 1.60665i) q^{21} +(11.8124 + 6.01870i) q^{22} +(-1.21857 + 3.75036i) q^{23} +(0.467280 - 2.95029i) q^{24} +(-1.11684 - 3.43727i) q^{25} +(-1.26992 + 0.201136i) q^{26} +(2.25594 - 2.25594i) q^{27} +(-5.79698 + 2.95371i) q^{28} +(0.785988 + 4.96253i) q^{29} +(-13.2579 - 2.09985i) q^{30} +(4.03548 - 2.93195i) q^{31} +7.70828i q^{32} +(-7.65912 - 10.5419i) q^{33} +(-0.576994 + 1.13241i) q^{34} +(3.26751 + 6.41285i) q^{35} +(-2.33179 + 3.20943i) q^{36} +(-1.87618 - 1.36313i) q^{37} +(2.87234 + 2.87234i) q^{38} +(1.20190 + 0.390521i) q^{39} -4.13499 q^{40} +(-1.29313 - 6.27119i) q^{41} +11.2153 q^{42} +(2.50072 + 0.812532i) q^{43} +(-11.5299 - 11.5299i) q^{44} +(3.55040 + 2.57951i) q^{45} +(4.99986 - 6.88172i) q^{46} +(2.33269 + 4.57815i) q^{47} +(2.18228 - 4.28296i) q^{48} +(0.579854 + 0.798101i) q^{49} +7.79615i q^{50} +(1.01062 - 0.734256i) q^{51} +(1.56193 + 0.247386i) q^{52} +(0.818669 + 5.16887i) q^{53} +(-6.13190 + 3.12436i) q^{54} +(-12.7548 + 12.7548i) q^{55} +(3.41233 - 0.540460i) q^{56} +(-1.23378 - 3.79718i) q^{57} +(1.69546 - 10.7047i) q^{58} +(3.23058 - 9.94272i) q^{59} +(14.7103 + 7.49528i) q^{60} +(0.968261 - 0.314607i) q^{61} +(-10.2333 + 3.32501i) q^{62} +(-3.26706 - 1.66465i) q^{63} +(3.73702 - 11.5014i) q^{64} +(0.273668 - 1.72787i) q^{65} +(8.68590 + 26.7325i) q^{66} +(-3.42634 + 0.542679i) q^{67} +(1.10534 - 1.10534i) q^{68} +(-7.44946 + 3.79569i) q^{69} +(-2.42870 - 15.3342i) q^{70} +(4.74402 + 0.751379i) q^{71} +(1.70427 - 1.23822i) q^{72} +0.596626i q^{73} +(2.94042 + 4.04714i) q^{74} +(3.47881 - 6.82756i) q^{75} +(-2.26821 - 4.45161i) q^{76} +(8.85861 - 12.1928i) q^{77} +(-2.20542 - 1.60233i) q^{78} +(3.13817 + 3.13817i) q^{79} +(-6.32847 - 2.05625i) q^{80} +11.2500 q^{81} +(-1.52737 + 13.7275i) q^{82} +3.79458 q^{83} +(-13.1191 - 4.26265i) q^{84} +(-1.22277 - 1.22277i) q^{85} +(-4.58868 - 3.33387i) q^{86} +(-6.26151 + 8.61823i) q^{87} +(3.93096 + 7.71494i) q^{88} +(-5.50333 + 10.8009i) q^{89} +(-5.56430 - 7.65860i) q^{90} +1.46167i q^{91} +(-8.46413 + 6.14955i) q^{92} +(10.4456 + 1.65442i) q^{93} +(-1.73386 - 10.9472i) q^{94} +(-4.92454 + 2.50918i) q^{95} +(-11.5563 + 11.5563i) q^{96} +(-10.0255 + 1.58788i) q^{97} +(-0.657590 - 2.02385i) q^{98} +(1.43757 - 9.07645i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + O(q^{10}) \) \( 24q - 10q^{2} - 6q^{3} - 10q^{5} - 2q^{6} - 8q^{7} - 10q^{8} + 6q^{10} - 16q^{11} + 2q^{12} + 14q^{14} + 8q^{15} - 20q^{16} + 8q^{17} + 16q^{19} + 20q^{20} - 10q^{21} + 6q^{22} + 12q^{23} + 68q^{24} - 8q^{25} - 28q^{26} - 6q^{27} + 18q^{28} + 40q^{29} - 36q^{30} - 12q^{31} + 10q^{33} - 16q^{34} - 36q^{35} - 40q^{36} + 46q^{38} - 50q^{39} - 44q^{40} - 4q^{41} - 40q^{42} - 48q^{44} + 16q^{45} + 70q^{46} - 12q^{47} - 50q^{48} - 30q^{49} - 24q^{51} + 20q^{52} - 26q^{53} + 68q^{54} + 20q^{55} + 106q^{56} + 10q^{57} - 20q^{58} + 6q^{59} + 76q^{60} + 30q^{61} - 10q^{62} + 92q^{63} + 70q^{64} + 68q^{65} + 34q^{66} - 22q^{67} - 20q^{68} - 38q^{69} - 20q^{70} + 4q^{71} - 74q^{72} + 10q^{74} + 4q^{75} - 128q^{76} - 20q^{77} - 10q^{78} - 2q^{79} - 70q^{80} + 28q^{81} - 90q^{82} + 80q^{83} - 30q^{84} - 56q^{85} - 46q^{86} - 10q^{87} + 10q^{88} - 72q^{89} - 70q^{90} - 6q^{93} - 18q^{94} - 40q^{95} + 66q^{96} - 22q^{97} + 6q^{98} + 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{7}{20}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.05153 0.666584i −1.45065 0.471346i −0.525452 0.850823i \(-0.676104\pi\)
−0.925201 + 0.379477i \(0.876104\pi\)
\(3\) 1.49921 + 1.49921i 0.865568 + 0.865568i 0.991978 0.126410i \(-0.0403456\pi\)
−0.126410 + 0.991978i \(0.540346\pi\)
\(4\) 2.14642 + 1.55947i 1.07321 + 0.779734i
\(5\) 1.72514 2.37446i 0.771508 1.06189i −0.224661 0.974437i \(-0.572127\pi\)
0.996169 0.0874522i \(-0.0278725\pi\)
\(6\) −2.07633 4.07502i −0.847657 1.66362i
\(7\) −1.11329 + 2.18496i −0.420786 + 0.825839i 0.579158 + 0.815216i \(0.303382\pi\)
−0.999944 + 0.0106232i \(0.996618\pi\)
\(8\) −0.828108 1.13979i −0.292780 0.402977i
\(9\) 1.49525i 0.498415i
\(10\) −5.12196 + 3.72132i −1.61971 + 1.17679i
\(11\) −6.07021 0.961426i −1.83024 0.289881i −0.856262 0.516541i \(-0.827219\pi\)
−0.973974 + 0.226660i \(0.927219\pi\)
\(12\) 0.879968 + 5.55590i 0.254025 + 1.60385i
\(13\) 0.531087 0.270602i 0.147297 0.0750516i −0.378788 0.925483i \(-0.623659\pi\)
0.526085 + 0.850432i \(0.323659\pi\)
\(14\) 3.74042 3.74042i 0.999670 0.999670i
\(15\) 6.14615 0.973455i 1.58693 0.251345i
\(16\) −0.700597 2.15622i −0.175149 0.539054i
\(17\) 0.0921689 0.581932i 0.0223542 0.141139i −0.973987 0.226604i \(-0.927238\pi\)
0.996341 + 0.0854651i \(0.0272376\pi\)
\(18\) 0.996707 3.06755i 0.234926 0.723028i
\(19\) −1.67787 0.854919i −0.384931 0.196132i 0.250807 0.968037i \(-0.419304\pi\)
−0.635738 + 0.771905i \(0.719304\pi\)
\(20\) 7.40577 2.40628i 1.65598 0.538061i
\(21\) −4.94477 + 1.60665i −1.07904 + 0.350601i
\(22\) 11.8124 + 6.01870i 2.51840 + 1.28319i
\(23\) −1.21857 + 3.75036i −0.254089 + 0.782005i 0.739919 + 0.672696i \(0.234864\pi\)
−0.994008 + 0.109309i \(0.965136\pi\)
\(24\) 0.467280 2.95029i 0.0953832 0.602226i
\(25\) −1.11684 3.43727i −0.223368 0.687455i
\(26\) −1.26992 + 0.201136i −0.249052 + 0.0394460i
\(27\) 2.25594 2.25594i 0.434155 0.434155i
\(28\) −5.79698 + 2.95371i −1.09553 + 0.558199i
\(29\) 0.785988 + 4.96253i 0.145954 + 0.921519i 0.946607 + 0.322390i \(0.104486\pi\)
−0.800652 + 0.599129i \(0.795514\pi\)
\(30\) −13.2579 2.09985i −2.42055 0.383378i
\(31\) 4.03548 2.93195i 0.724794 0.526593i −0.163118 0.986606i \(-0.552155\pi\)
0.887912 + 0.460013i \(0.152155\pi\)
\(32\) 7.70828i 1.36264i
\(33\) −7.65912 10.5419i −1.33328 1.83511i
\(34\) −0.576994 + 1.13241i −0.0989536 + 0.194207i
\(35\) 3.26751 + 6.41285i 0.552310 + 1.08397i
\(36\) −2.33179 + 3.20943i −0.388631 + 0.534905i
\(37\) −1.87618 1.36313i −0.308443 0.224097i 0.422785 0.906230i \(-0.361052\pi\)
−0.731228 + 0.682133i \(0.761052\pi\)
\(38\) 2.87234 + 2.87234i 0.465955 + 0.465955i
\(39\) 1.20190 + 0.390521i 0.192458 + 0.0625333i
\(40\) −4.13499 −0.653800
\(41\) −1.29313 6.27119i −0.201953 0.979395i
\(42\) 11.2153 1.73056
\(43\) 2.50072 + 0.812532i 0.381356 + 0.123910i 0.493420 0.869791i \(-0.335746\pi\)
−0.112065 + 0.993701i \(0.535746\pi\)
\(44\) −11.5299 11.5299i −1.73820 1.73820i
\(45\) 3.55040 + 2.57951i 0.529262 + 0.384531i
\(46\) 4.99986 6.88172i 0.737189 1.01465i
\(47\) 2.33269 + 4.57815i 0.340257 + 0.667792i 0.996207 0.0870119i \(-0.0277318\pi\)
−0.655950 + 0.754804i \(0.727732\pi\)
\(48\) 2.18228 4.28296i 0.314984 0.618192i
\(49\) 0.579854 + 0.798101i 0.0828364 + 0.114014i
\(50\) 7.79615i 1.10254i
\(51\) 1.01062 0.734256i 0.141515 0.102816i
\(52\) 1.56193 + 0.247386i 0.216601 + 0.0343062i
\(53\) 0.818669 + 5.16887i 0.112453 + 0.710000i 0.977912 + 0.209019i \(0.0670271\pi\)
−0.865459 + 0.500980i \(0.832973\pi\)
\(54\) −6.13190 + 3.12436i −0.834446 + 0.425172i
\(55\) −12.7548 + 12.7548i −1.71986 + 1.71986i
\(56\) 3.41233 0.540460i 0.455992 0.0722221i
\(57\) −1.23378 3.79718i −0.163418 0.502949i
\(58\) 1.69546 10.7047i 0.222625 1.40560i
\(59\) 3.23058 9.94272i 0.420586 1.29443i −0.486572 0.873641i \(-0.661753\pi\)
0.907158 0.420791i \(-0.138247\pi\)
\(60\) 14.7103 + 7.49528i 1.89909 + 0.967636i
\(61\) 0.968261 0.314607i 0.123973 0.0402813i −0.246373 0.969175i \(-0.579239\pi\)
0.370347 + 0.928894i \(0.379239\pi\)
\(62\) −10.2333 + 3.32501i −1.29963 + 0.422276i
\(63\) −3.26706 1.66465i −0.411611 0.209726i
\(64\) 3.73702 11.5014i 0.467127 1.43767i
\(65\) 0.273668 1.72787i 0.0339443 0.214316i
\(66\) 8.68590 + 26.7325i 1.06916 + 3.29054i
\(67\) −3.42634 + 0.542679i −0.418594 + 0.0662988i −0.362179 0.932109i \(-0.617967\pi\)
−0.0564152 + 0.998407i \(0.517967\pi\)
\(68\) 1.10534 1.10534i 0.134042 0.134042i
\(69\) −7.44946 + 3.79569i −0.896809 + 0.456947i
\(70\) −2.42870 15.3342i −0.290286 1.83279i
\(71\) 4.74402 + 0.751379i 0.563012 + 0.0891723i 0.431452 0.902136i \(-0.358001\pi\)
0.131560 + 0.991308i \(0.458001\pi\)
\(72\) 1.70427 1.23822i 0.200850 0.145926i
\(73\) 0.596626i 0.0698297i 0.999390 + 0.0349149i \(0.0111160\pi\)
−0.999390 + 0.0349149i \(0.988884\pi\)
\(74\) 2.94042 + 4.04714i 0.341816 + 0.470470i
\(75\) 3.47881 6.82756i 0.401699 0.788379i
\(76\) −2.26821 4.45161i −0.260181 0.510634i
\(77\) 8.85861 12.1928i 1.00953 1.38950i
\(78\) −2.20542 1.60233i −0.249715 0.181428i
\(79\) 3.13817 + 3.13817i 0.353072 + 0.353072i 0.861251 0.508179i \(-0.169681\pi\)
−0.508179 + 0.861251i \(0.669681\pi\)
\(80\) −6.32847 2.05625i −0.707545 0.229895i
\(81\) 11.2500 1.25000
\(82\) −1.52737 + 13.7275i −0.168670 + 1.51595i
\(83\) 3.79458 0.416509 0.208254 0.978075i \(-0.433222\pi\)
0.208254 + 0.978075i \(0.433222\pi\)
\(84\) −13.1191 4.26265i −1.43141 0.465094i
\(85\) −1.22277 1.22277i −0.132628 0.132628i
\(86\) −4.58868 3.33387i −0.494811 0.359501i
\(87\) −6.26151 + 8.61823i −0.671304 + 0.923971i
\(88\) 3.93096 + 7.71494i 0.419042 + 0.822415i
\(89\) −5.50333 + 10.8009i −0.583352 + 1.14489i 0.391111 + 0.920343i \(0.372091\pi\)
−0.974463 + 0.224549i \(0.927909\pi\)
\(90\) −5.56430 7.65860i −0.586528 0.807287i
\(91\) 1.46167i 0.153224i
\(92\) −8.46413 + 6.14955i −0.882446 + 0.641135i
\(93\) 10.4456 + 1.65442i 1.08316 + 0.171556i
\(94\) −1.73386 10.9472i −0.178834 1.12911i
\(95\) −4.92454 + 2.50918i −0.505247 + 0.257436i
\(96\) −11.5563 + 11.5563i −1.17946 + 1.17946i
\(97\) −10.0255 + 1.58788i −1.01793 + 0.161224i −0.643030 0.765841i \(-0.722323\pi\)
−0.374900 + 0.927065i \(0.622323\pi\)
\(98\) −0.657590 2.02385i −0.0664266 0.204440i
\(99\) 1.43757 9.07645i 0.144481 0.912218i
\(100\) 2.96311 9.11951i 0.296311 0.911951i
\(101\) 3.94458 + 2.00986i 0.392500 + 0.199989i 0.639091 0.769131i \(-0.279311\pi\)
−0.246591 + 0.969120i \(0.579311\pi\)
\(102\) −2.56276 + 0.832690i −0.253751 + 0.0824486i
\(103\) 0.205290 0.0667028i 0.0202278 0.00657242i −0.298886 0.954289i \(-0.596615\pi\)
0.319113 + 0.947717i \(0.396615\pi\)
\(104\) −0.748228 0.381241i −0.0733698 0.0373838i
\(105\) −4.71551 + 14.5129i −0.460187 + 1.41631i
\(106\) 1.76596 11.1498i 0.171525 1.08297i
\(107\) −4.88121 15.0228i −0.471885 1.45231i −0.850113 0.526600i \(-0.823467\pi\)
0.378229 0.925712i \(-0.376533\pi\)
\(108\) 8.36026 1.32413i 0.804466 0.127415i
\(109\) 4.23511 4.23511i 0.405650 0.405650i −0.474568 0.880219i \(-0.657396\pi\)
0.880219 + 0.474568i \(0.157396\pi\)
\(110\) 34.6692 17.6648i 3.30557 1.68427i
\(111\) −0.769178 4.85640i −0.0730072 0.460949i
\(112\) 5.49123 + 0.869725i 0.518872 + 0.0821813i
\(113\) −14.7878 + 10.7440i −1.39112 + 1.01071i −0.395383 + 0.918517i \(0.629388\pi\)
−0.995741 + 0.0921939i \(0.970612\pi\)
\(114\) 8.61246i 0.806631i
\(115\) 6.80287 + 9.36335i 0.634371 + 0.873137i
\(116\) −6.05185 + 11.8774i −0.561900 + 1.10279i
\(117\) 0.404617 + 0.794106i 0.0374069 + 0.0734151i
\(118\) −13.2553 + 18.2444i −1.22025 + 1.67953i
\(119\) 1.16889 + 0.849247i 0.107152 + 0.0778504i
\(120\) −6.19921 6.19921i −0.565908 0.565908i
\(121\) 25.4614 + 8.27292i 2.31468 + 0.752084i
\(122\) −2.19613 −0.198828
\(123\) 7.46314 11.3405i 0.672929 1.02254i
\(124\) 13.2341 1.18846
\(125\) 3.86834 + 1.25690i 0.345995 + 0.112421i
\(126\) 5.59285 + 5.59285i 0.498251 + 0.498251i
\(127\) −14.7740 10.7340i −1.31098 0.952485i −0.999998 0.00206962i \(-0.999341\pi\)
−0.310985 0.950415i \(-0.600659\pi\)
\(128\) −6.27161 + 8.63214i −0.554338 + 0.762980i
\(129\) 2.53094 + 4.96725i 0.222837 + 0.437342i
\(130\) −1.71321 + 3.36236i −0.150258 + 0.294899i
\(131\) −7.96565 10.9638i −0.695962 0.957909i −0.999986 0.00524501i \(-0.998330\pi\)
0.304024 0.952664i \(-0.401670\pi\)
\(132\) 34.5715i 3.00906i
\(133\) 3.73594 2.71432i 0.323947 0.235361i
\(134\) 7.39099 + 1.17062i 0.638485 + 0.101126i
\(135\) −1.46481 9.24844i −0.126071 0.795979i
\(136\) −0.739607 + 0.376849i −0.0634208 + 0.0323145i
\(137\) 10.5077 10.5077i 0.897730 0.897730i −0.0975051 0.995235i \(-0.531086\pi\)
0.995235 + 0.0975051i \(0.0310862\pi\)
\(138\) 17.8130 2.82129i 1.51634 0.240165i
\(139\) 0.195261 + 0.600951i 0.0165618 + 0.0509720i 0.958996 0.283420i \(-0.0914690\pi\)
−0.942434 + 0.334392i \(0.891469\pi\)
\(140\) −2.98717 + 18.8603i −0.252462 + 1.59398i
\(141\) −3.36642 + 10.3608i −0.283504 + 0.872535i
\(142\) −9.23166 4.70377i −0.774704 0.394731i
\(143\) −3.48397 + 1.13201i −0.291344 + 0.0946635i
\(144\) 3.22407 1.04757i 0.268673 0.0872971i
\(145\) 13.1393 + 6.69479i 1.09116 + 0.555972i
\(146\) 0.397701 1.22400i 0.0329140 0.101299i
\(147\) −0.327197 + 2.06584i −0.0269868 + 0.170388i
\(148\) −1.90133 5.85170i −0.156288 0.481006i
\(149\) −12.6918 + 2.01019i −1.03975 + 0.164681i −0.652887 0.757455i \(-0.726443\pi\)
−0.386866 + 0.922136i \(0.626443\pi\)
\(150\) −11.6880 + 11.6880i −0.954325 + 0.954325i
\(151\) −12.1082 + 6.16943i −0.985350 + 0.502061i −0.870949 0.491374i \(-0.836495\pi\)
−0.114401 + 0.993435i \(0.536495\pi\)
\(152\) 0.415029 + 2.62039i 0.0336633 + 0.212542i
\(153\) 0.870131 + 0.137815i 0.0703459 + 0.0111417i
\(154\) −26.3013 + 19.1090i −2.11942 + 1.53985i
\(155\) 14.6401i 1.17592i
\(156\) 1.97078 + 2.71254i 0.157789 + 0.217177i
\(157\) 1.90025 3.72944i 0.151656 0.297642i −0.802662 0.596434i \(-0.796584\pi\)
0.954318 + 0.298792i \(0.0965837\pi\)
\(158\) −4.34621 8.52992i −0.345766 0.678604i
\(159\) −6.52186 + 8.97657i −0.517217 + 0.711888i
\(160\) 18.3030 + 13.2979i 1.44698 + 1.05129i
\(161\) −6.83778 6.83778i −0.538893 0.538893i
\(162\) −23.0797 7.49905i −1.81331 0.589181i
\(163\) −16.9510 −1.32770 −0.663851 0.747865i \(-0.731079\pi\)
−0.663851 + 0.747865i \(0.731079\pi\)
\(164\) 7.00411 15.4772i 0.546929 1.20857i
\(165\) −38.2443 −2.97732
\(166\) −7.78470 2.52940i −0.604210 0.196320i
\(167\) 18.1214 + 18.1214i 1.40227 + 1.40227i 0.792827 + 0.609446i \(0.208608\pi\)
0.609446 + 0.792827i \(0.291392\pi\)
\(168\) 5.92606 + 4.30553i 0.457205 + 0.332179i
\(169\) −7.43238 + 10.2298i −0.571722 + 0.786907i
\(170\) 1.69347 + 3.32362i 0.129883 + 0.254910i
\(171\) 1.27831 2.50883i 0.0977552 0.191855i
\(172\) 4.10048 + 5.64382i 0.312659 + 0.430338i
\(173\) 6.83171i 0.519405i −0.965689 0.259702i \(-0.916376\pi\)
0.965689 0.259702i \(-0.0836245\pi\)
\(174\) 18.5905 13.5068i 1.40934 1.02395i
\(175\) 8.75369 + 1.38645i 0.661717 + 0.104806i
\(176\) 2.17973 + 13.7623i 0.164303 + 1.03737i
\(177\) 19.7495 10.0629i 1.48446 0.756372i
\(178\) 18.4900 18.4900i 1.38588 1.38588i
\(179\) 15.4408 2.44559i 1.15410 0.182792i 0.450092 0.892982i \(-0.351391\pi\)
0.704009 + 0.710191i \(0.251391\pi\)
\(180\) 3.59798 + 11.0735i 0.268178 + 0.825367i
\(181\) 3.13498 19.7935i 0.233022 1.47124i −0.542573 0.840009i \(-0.682550\pi\)
0.775594 0.631232i \(-0.217450\pi\)
\(182\) 0.974323 2.99866i 0.0722216 0.222275i
\(183\) 1.92329 + 0.979963i 0.142173 + 0.0724409i
\(184\) 5.28374 1.71679i 0.389522 0.126563i
\(185\) −6.47337 + 2.10333i −0.475932 + 0.154640i
\(186\) −20.3267 10.3570i −1.49043 0.759411i
\(187\) −1.11897 + 3.44383i −0.0818271 + 0.251838i
\(188\) −2.13255 + 13.4644i −0.155532 + 0.981992i
\(189\) 2.41762 + 7.44067i 0.175856 + 0.541229i
\(190\) 11.7754 1.86505i 0.854280 0.135305i
\(191\) −4.38486 + 4.38486i −0.317277 + 0.317277i −0.847721 0.530443i \(-0.822026\pi\)
0.530443 + 0.847721i \(0.322026\pi\)
\(192\) 22.8455 11.6404i 1.64873 0.840071i
\(193\) −2.21890 14.0096i −0.159720 1.00843i −0.929150 0.369702i \(-0.879460\pi\)
0.769430 0.638731i \(-0.220540\pi\)
\(194\) 21.6260 + 3.42522i 1.55266 + 0.245917i
\(195\) 3.00072 2.18015i 0.214886 0.156124i
\(196\) 2.61733i 0.186952i
\(197\) 5.40427 + 7.43834i 0.385038 + 0.529960i 0.956911 0.290383i \(-0.0937827\pi\)
−0.571872 + 0.820343i \(0.693783\pi\)
\(198\) −8.99944 + 17.6624i −0.639562 + 1.25521i
\(199\) −4.04507 7.93889i −0.286747 0.562773i 0.702034 0.712143i \(-0.252275\pi\)
−0.988781 + 0.149370i \(0.952275\pi\)
\(200\) −2.99292 + 4.11940i −0.211631 + 0.291285i
\(201\) −5.95038 4.32321i −0.419708 0.304935i
\(202\) −6.75269 6.75269i −0.475118 0.475118i
\(203\) −11.7180 3.80741i −0.822442 0.267228i
\(204\) 3.31426 0.232045
\(205\) −17.1215 7.74822i −1.19582 0.541159i
\(206\) −0.465623 −0.0324415
\(207\) −5.60772 1.82206i −0.389763 0.126642i
\(208\) −0.955555 0.955555i −0.0662558 0.0662558i
\(209\) 9.36310 + 6.80269i 0.647659 + 0.470552i
\(210\) 19.3481 26.6303i 1.33514 1.83767i
\(211\) −1.13287 2.22339i −0.0779901 0.153064i 0.848719 0.528845i \(-0.177375\pi\)
−0.926709 + 0.375781i \(0.877375\pi\)
\(212\) −6.30348 + 12.3713i −0.432925 + 0.849663i
\(213\) 5.98580 + 8.23875i 0.410140 + 0.564510i
\(214\) 34.0736i 2.32922i
\(215\) 6.24342 4.53611i 0.425798 0.309360i
\(216\) −4.43946 0.703141i −0.302067 0.0478427i
\(217\) 1.91352 + 12.0815i 0.129898 + 0.820146i
\(218\) −11.5115 + 5.86542i −0.779660 + 0.397256i
\(219\) −0.894466 + 0.894466i −0.0604424 + 0.0604424i
\(220\) −47.2680 + 7.48652i −3.18681 + 0.504741i
\(221\) −0.108522 0.333997i −0.00730000 0.0224671i
\(222\) −1.65920 + 10.4758i −0.111358 + 0.703089i
\(223\) −7.66122 + 23.5788i −0.513034 + 1.57895i 0.273798 + 0.961787i \(0.411720\pi\)
−0.786832 + 0.617168i \(0.788280\pi\)
\(224\) −16.8423 8.58159i −1.12532 0.573381i
\(225\) 5.13957 1.66995i 0.342638 0.111330i
\(226\) 37.4995 12.1843i 2.49443 0.810490i
\(227\) 2.03948 + 1.03917i 0.135365 + 0.0689721i 0.520361 0.853946i \(-0.325797\pi\)
−0.384996 + 0.922918i \(0.625797\pi\)
\(228\) 3.27337 10.0744i 0.216784 0.667193i
\(229\) −3.28848 + 20.7626i −0.217309 + 1.37203i 0.601915 + 0.798560i \(0.294404\pi\)
−0.819224 + 0.573474i \(0.805596\pi\)
\(230\) −7.71486 23.7439i −0.508703 1.56563i
\(231\) 31.5605 4.99869i 2.07653 0.328890i
\(232\) 5.00538 5.00538i 0.328619 0.328619i
\(233\) −7.76709 + 3.95753i −0.508839 + 0.259267i −0.689509 0.724277i \(-0.742174\pi\)
0.180670 + 0.983544i \(0.442174\pi\)
\(234\) −0.300748 1.89885i −0.0196605 0.124131i
\(235\) 14.8948 + 2.35911i 0.971633 + 0.153891i
\(236\) 22.4395 16.3033i 1.46069 1.06125i
\(237\) 9.40955i 0.611216i
\(238\) −1.83192 2.52142i −0.118746 0.163439i
\(239\) 10.4691 20.5467i 0.677188 1.32906i −0.254950 0.966954i \(-0.582059\pi\)
0.932138 0.362102i \(-0.117941\pi\)
\(240\) −6.40496 12.5704i −0.413438 0.811418i
\(241\) 3.16869 4.36133i 0.204113 0.280938i −0.694672 0.719326i \(-0.744451\pi\)
0.898786 + 0.438389i \(0.144451\pi\)
\(242\) −46.7204 33.9444i −3.00330 2.18203i
\(243\) 10.0982 + 10.0982i 0.647802 + 0.647802i
\(244\) 2.56892 + 0.834692i 0.164458 + 0.0534357i
\(245\) 2.89539 0.184980
\(246\) −22.8703 + 18.2906i −1.45816 + 1.16616i
\(247\) −1.12244 −0.0714191
\(248\) −6.68362 2.17164i −0.424411 0.137899i
\(249\) 5.68886 + 5.68886i 0.360517 + 0.360517i
\(250\) −7.09820 5.15715i −0.448930 0.326167i
\(251\) −6.43570 + 8.85798i −0.406218 + 0.559111i −0.962291 0.272023i \(-0.912307\pi\)
0.556073 + 0.831133i \(0.312307\pi\)
\(252\) −4.41652 8.66791i −0.278215 0.546027i
\(253\) 11.0026 21.5939i 0.691730 1.35760i
\(254\) 23.1543 + 31.8692i 1.45283 + 1.99965i
\(255\) 3.66636i 0.229597i
\(256\) −0.946816 + 0.687902i −0.0591760 + 0.0429939i
\(257\) −11.7305 1.85792i −0.731726 0.115894i −0.220557 0.975374i \(-0.570787\pi\)
−0.511169 + 0.859480i \(0.670787\pi\)
\(258\) −1.88122 11.8776i −0.117120 0.739465i
\(259\) 5.06713 2.58183i 0.314856 0.160427i
\(260\) 3.28196 3.28196i 0.203539 0.203539i
\(261\) −7.42021 + 1.17525i −0.459299 + 0.0727459i
\(262\) 9.03352 + 27.8023i 0.558093 + 1.71763i
\(263\) −1.09630 + 6.92176i −0.0676007 + 0.426814i 0.930557 + 0.366146i \(0.119323\pi\)
−0.998158 + 0.0606678i \(0.980677\pi\)
\(264\) −5.67297 + 17.4596i −0.349147 + 1.07457i
\(265\) 13.6856 + 6.97316i 0.840699 + 0.428358i
\(266\) −9.47372 + 3.07820i −0.580871 + 0.188736i
\(267\) −24.4434 + 7.94214i −1.49591 + 0.486051i
\(268\) −8.20066 4.17845i −0.500935 0.255239i
\(269\) 9.10933 28.0356i 0.555406 1.70936i −0.139463 0.990227i \(-0.544538\pi\)
0.694869 0.719136i \(-0.255462\pi\)
\(270\) −3.15976 + 19.9499i −0.192297 + 1.21411i
\(271\) −0.323450 0.995477i −0.0196482 0.0604709i 0.940752 0.339096i \(-0.110121\pi\)
−0.960400 + 0.278625i \(0.910121\pi\)
\(272\) −1.31934 + 0.208964i −0.0799970 + 0.0126703i
\(273\) −2.19134 + 2.19134i −0.132626 + 0.132626i
\(274\) −28.5611 + 14.5526i −1.72544 + 0.879154i
\(275\) 3.47475 + 21.9387i 0.209535 + 1.32295i
\(276\) −21.9089 3.47003i −1.31876 0.208871i
\(277\) 19.6390 14.2685i 1.17999 0.857314i 0.187820 0.982203i \(-0.439858\pi\)
0.992171 + 0.124890i \(0.0398577\pi\)
\(278\) 1.36303i 0.0817491i
\(279\) 4.38399 + 6.03404i 0.262462 + 0.361248i
\(280\) 4.60346 9.03481i 0.275110 0.539933i
\(281\) −8.65174 16.9800i −0.516120 1.01294i −0.991122 0.132957i \(-0.957553\pi\)
0.475002 0.879985i \(-0.342447\pi\)
\(282\) 13.8127 19.0115i 0.822532 1.13212i
\(283\) 16.9992 + 12.3506i 1.01050 + 0.734168i 0.964313 0.264765i \(-0.0852944\pi\)
0.0461826 + 0.998933i \(0.485294\pi\)
\(284\) 9.01092 + 9.01092i 0.534700 + 0.534700i
\(285\) −11.1447 3.62113i −0.660154 0.214497i
\(286\) 7.90207 0.467259
\(287\) 15.1420 + 4.15624i 0.893801 + 0.245335i
\(288\) −11.5258 −0.679163
\(289\) 15.8378 + 5.14602i 0.931636 + 0.302707i
\(290\) −22.4930 22.4930i −1.32083 1.32083i
\(291\) −17.4108 12.6497i −1.02064 0.741537i
\(292\) −0.930418 + 1.28061i −0.0544486 + 0.0749421i
\(293\) 5.11758 + 10.0438i 0.298972 + 0.586766i 0.990806 0.135291i \(-0.0431968\pi\)
−0.691834 + 0.722057i \(0.743197\pi\)
\(294\) 2.04831 4.02004i 0.119460 0.234453i
\(295\) −18.0353 24.8235i −1.05006 1.44528i
\(296\) 3.26728i 0.189907i
\(297\) −15.8629 + 11.5251i −0.920460 + 0.668754i
\(298\) 27.3776 + 4.33619i 1.58594 + 0.251189i
\(299\) 0.367692 + 2.32152i 0.0212642 + 0.134257i
\(300\) 18.1144 9.22973i 1.04583 0.532879i
\(301\) −4.55939 + 4.55939i −0.262799 + 0.262799i
\(302\) 28.9528 4.58567i 1.66605 0.263876i
\(303\) 2.90054 + 8.92694i 0.166632 + 0.512839i
\(304\) −0.667878 + 4.21681i −0.0383054 + 0.241851i
\(305\) 0.923368 2.84184i 0.0528719 0.162723i
\(306\) −1.69324 0.862748i −0.0967960 0.0493200i
\(307\) 8.99276 2.92192i 0.513244 0.166763i −0.0409331 0.999162i \(-0.513033\pi\)
0.554177 + 0.832399i \(0.313033\pi\)
\(308\) 38.0286 12.3563i 2.16688 0.704063i
\(309\) 0.407774 + 0.207771i 0.0231974 + 0.0118197i
\(310\) −9.75886 + 30.0347i −0.554266 + 1.70585i
\(311\) −2.64006 + 16.6687i −0.149704 + 0.945195i 0.792431 + 0.609962i \(0.208815\pi\)
−0.942135 + 0.335234i \(0.891185\pi\)
\(312\) −0.550189 1.69331i −0.0311483 0.0958647i
\(313\) −24.1931 + 3.83181i −1.36747 + 0.216587i −0.796628 0.604471i \(-0.793385\pi\)
−0.570846 + 0.821057i \(0.693385\pi\)
\(314\) −6.38440 + 6.38440i −0.360293 + 0.360293i
\(315\) −9.58878 + 4.88573i −0.540267 + 0.275280i
\(316\) 1.84197 + 11.6297i 0.103619 + 0.654223i
\(317\) −9.70461 1.53706i −0.545065 0.0863299i −0.122171 0.992509i \(-0.538986\pi\)
−0.422894 + 0.906179i \(0.638986\pi\)
\(318\) 19.3635 14.0684i 1.08585 0.788915i
\(319\) 30.8793i 1.72891i
\(320\) −20.8626 28.7149i −1.16625 1.60521i
\(321\) 15.2044 29.8403i 0.848626 1.66552i
\(322\) 9.46999 + 18.5859i 0.527742 + 1.03575i
\(323\) −0.652152 + 0.897611i −0.0362867 + 0.0499444i
\(324\) 24.1472 + 17.5440i 1.34151 + 0.974665i
\(325\) −1.52327 1.52327i −0.0844959 0.0844959i
\(326\) 34.7755 + 11.2992i 1.92604 + 0.625807i
\(327\) 12.6986 0.702236
\(328\) −6.07700 + 6.66712i −0.335546 + 0.368130i
\(329\) −12.6001 −0.694664
\(330\) 78.4595 + 25.4930i 4.31905 + 1.40335i
\(331\) −14.3440 14.3440i −0.788417 0.788417i 0.192818 0.981235i \(-0.438237\pi\)
−0.981235 + 0.192818i \(0.938237\pi\)
\(332\) 8.14476 + 5.91752i 0.447002 + 0.324766i
\(333\) 2.03821 2.80536i 0.111693 0.153733i
\(334\) −25.0972 49.2560i −1.37326 2.69517i
\(335\) −4.62236 + 9.07189i −0.252547 + 0.495651i
\(336\) 6.92859 + 9.53639i 0.377986 + 0.520253i
\(337\) 8.81241i 0.480043i −0.970768 0.240021i \(-0.922846\pi\)
0.970768 0.240021i \(-0.0771545\pi\)
\(338\) 22.0668 16.0325i 1.20028 0.872051i
\(339\) −38.2775 6.06257i −2.07895 0.329273i
\(340\) −0.717709 4.53144i −0.0389233 0.245752i
\(341\) −27.3151 + 13.9177i −1.47919 + 0.753687i
\(342\) −4.29485 + 4.29485i −0.232239 + 0.232239i
\(343\) −19.3437 + 3.06375i −1.04446 + 0.165427i
\(344\) −1.14474 3.52316i −0.0617205 0.189956i
\(345\) −3.83869 + 24.2365i −0.206668 + 1.30485i
\(346\) −4.55390 + 14.0155i −0.244819 + 0.753477i
\(347\) −4.18176 2.13071i −0.224489 0.114383i 0.338129 0.941100i \(-0.390206\pi\)
−0.562618 + 0.826717i \(0.690206\pi\)
\(348\) −26.8797 + 8.73374i −1.44090 + 0.468178i
\(349\) 12.3323 4.00699i 0.660130 0.214489i 0.0402548 0.999189i \(-0.487183\pi\)
0.619876 + 0.784700i \(0.287183\pi\)
\(350\) −17.0343 8.67941i −0.910522 0.463934i
\(351\) 0.587637 1.80856i 0.0313658 0.0965339i
\(352\) 7.41094 46.7908i 0.395005 2.49396i
\(353\) 6.12880 + 18.8625i 0.326203 + 1.00395i 0.970895 + 0.239507i \(0.0769857\pi\)
−0.644692 + 0.764443i \(0.723014\pi\)
\(354\) −47.2245 + 7.47963i −2.50996 + 0.397538i
\(355\) 9.96824 9.96824i 0.529059 0.529059i
\(356\) −28.6561 + 14.6010i −1.51877 + 0.773852i
\(357\) 0.479209 + 3.02560i 0.0253624 + 0.160132i
\(358\) −33.3075 5.27540i −1.76036 0.278813i
\(359\) −1.27423 + 0.925784i −0.0672514 + 0.0488610i −0.620903 0.783887i \(-0.713234\pi\)
0.553652 + 0.832748i \(0.313234\pi\)
\(360\) 6.18283i 0.325864i
\(361\) −9.08355 12.5024i −0.478081 0.658023i
\(362\) −19.6256 + 38.5173i −1.03150 + 2.02443i
\(363\) 25.7692 + 50.5748i 1.35253 + 2.65449i
\(364\) −2.27942 + 3.13735i −0.119474 + 0.164442i
\(365\) 1.41666 + 1.02926i 0.0741514 + 0.0538742i
\(366\) −3.29246 3.29246i −0.172100 0.172100i
\(367\) −10.0426 3.26304i −0.524219 0.170329i 0.0349400 0.999389i \(-0.488876\pi\)
−0.559159 + 0.829060i \(0.688876\pi\)
\(368\) 8.94032 0.466046
\(369\) 9.37697 1.93355i 0.488146 0.100657i
\(370\) 14.6824 0.763301
\(371\) −12.2052 3.96572i −0.633664 0.205890i
\(372\) 19.8407 + 19.8407i 1.02869 + 1.02869i
\(373\) 28.7981 + 20.9230i 1.49111 + 1.08335i 0.973760 + 0.227579i \(0.0730811\pi\)
0.517349 + 0.855774i \(0.326919\pi\)
\(374\) 4.59120 6.31925i 0.237406 0.326761i
\(375\) 3.91509 + 7.68380i 0.202175 + 0.396790i
\(376\) 3.28643 6.44998i 0.169485 0.332632i
\(377\) 1.76030 + 2.42285i 0.0906601 + 0.124783i
\(378\) 16.8763i 0.868024i
\(379\) −1.34011 + 0.973646i −0.0688368 + 0.0500129i −0.621671 0.783278i \(-0.713546\pi\)
0.552835 + 0.833291i \(0.313546\pi\)
\(380\) −14.4831 2.29390i −0.742969 0.117675i
\(381\) −6.05690 38.2418i −0.310304 1.95918i
\(382\) 11.9186 6.07281i 0.609807 0.310712i
\(383\) 6.91149 6.91149i 0.353161 0.353161i −0.508123 0.861284i \(-0.669661\pi\)
0.861284 + 0.508123i \(0.169661\pi\)
\(384\) −22.3438 + 3.53891i −1.14023 + 0.180594i
\(385\) −13.6690 42.0688i −0.696635 2.14402i
\(386\) −4.78641 + 30.2202i −0.243622 + 1.53817i
\(387\) −1.21494 + 3.73919i −0.0617587 + 0.190074i
\(388\) −23.9951 12.2261i −1.21817 0.620687i
\(389\) −15.4034 + 5.00488i −0.780985 + 0.253757i −0.672261 0.740314i \(-0.734677\pi\)
−0.108724 + 0.994072i \(0.534677\pi\)
\(390\) −7.60934 + 2.47242i −0.385314 + 0.125196i
\(391\) 2.07014 + 1.05479i 0.104692 + 0.0533430i
\(392\) 0.429488 1.32183i 0.0216924 0.0667624i
\(393\) 4.49481 28.3791i 0.226733 1.43154i
\(394\) −6.12877 18.8624i −0.308763 0.950274i
\(395\) 12.8653 2.03766i 0.647321 0.102526i
\(396\) 17.2401 17.2401i 0.866346 0.866346i
\(397\) 16.0168 8.16099i 0.803862 0.409588i −0.00324401 0.999995i \(-0.501033\pi\)
0.807106 + 0.590407i \(0.201033\pi\)
\(398\) 3.00665 + 18.9833i 0.150710 + 0.951545i
\(399\) 9.67027 + 1.53162i 0.484119 + 0.0766769i
\(400\) −6.62905 + 4.81629i −0.331453 + 0.240814i
\(401\) 8.90016i 0.444453i 0.974995 + 0.222226i \(0.0713324\pi\)
−0.974995 + 0.222226i \(0.928668\pi\)
\(402\) 9.32563 + 12.8356i 0.465120 + 0.640183i
\(403\) 1.34980 2.64913i 0.0672383 0.131963i
\(404\) 5.33242 + 10.4655i 0.265298 + 0.520676i
\(405\) 19.4078 26.7126i 0.964383 1.32736i
\(406\) 21.5019 + 15.6220i 1.06712 + 0.775309i
\(407\) 10.0783 + 10.0783i 0.499562 + 0.499562i
\(408\) −1.67380 0.543850i −0.0828654 0.0269246i
\(409\) −31.3466 −1.54999 −0.774996 0.631966i \(-0.782248\pi\)
−0.774996 + 0.631966i \(0.782248\pi\)
\(410\) 29.9605 + 27.3086i 1.47964 + 1.34868i
\(411\) 31.5063 1.55409
\(412\) 0.544660 + 0.176971i 0.0268335 + 0.00871873i
\(413\) 18.1279 + 18.1279i 0.892015 + 0.892015i
\(414\) 10.2899 + 7.47602i 0.505719 + 0.367426i
\(415\) 6.54619 9.01005i 0.321340 0.442286i
\(416\) 2.08588 + 4.09377i 0.102269 + 0.200713i
\(417\) −0.608214 + 1.19369i −0.0297844 + 0.0584551i
\(418\) −14.6741 20.1972i −0.717736 0.987879i
\(419\) 7.90991i 0.386424i 0.981157 + 0.193212i \(0.0618906\pi\)
−0.981157 + 0.193212i \(0.938109\pi\)
\(420\) −32.7538 + 23.7970i −1.59822 + 1.16118i
\(421\) 16.1064 + 2.55101i 0.784979 + 0.124329i 0.536042 0.844191i \(-0.319919\pi\)
0.248937 + 0.968520i \(0.419919\pi\)
\(422\) 0.842052 + 5.31651i 0.0409905 + 0.258804i
\(423\) −6.84547 + 3.48794i −0.332838 + 0.169589i
\(424\) 5.21350 5.21350i 0.253190 0.253190i
\(425\) −2.10320 + 0.333114i −0.102020 + 0.0161584i
\(426\) −6.78826 20.8921i −0.328892 1.01223i
\(427\) −0.390555 + 2.46587i −0.0189003 + 0.119332i
\(428\) 12.9505 39.8574i 0.625984 1.92658i
\(429\) −6.92032 3.52608i −0.334116 0.170241i
\(430\) −15.8323 + 5.14422i −0.763500 + 0.248076i
\(431\) 0.374602 0.121716i 0.0180439 0.00586283i −0.299981 0.953945i \(-0.596980\pi\)
0.318025 + 0.948082i \(0.396980\pi\)
\(432\) −6.44480 3.28379i −0.310075 0.157991i
\(433\) −5.34527 + 16.4510i −0.256877 + 0.790587i 0.736577 + 0.676354i \(0.236441\pi\)
−0.993454 + 0.114233i \(0.963559\pi\)
\(434\) 4.12768 26.0611i 0.198135 1.25097i
\(435\) 9.66160 + 29.7354i 0.463238 + 1.42570i
\(436\) 15.6949 2.48582i 0.751648 0.119049i
\(437\) 5.25086 5.25086i 0.251183 0.251183i
\(438\) 2.43126 1.23879i 0.116170 0.0591917i
\(439\) 0.0655373 + 0.413787i 0.00312793 + 0.0197490i 0.989203 0.146552i \(-0.0468176\pi\)
−0.986075 + 0.166301i \(0.946818\pi\)
\(440\) 25.1003 + 3.97549i 1.19661 + 0.189524i
\(441\) −1.19336 + 0.867025i −0.0568266 + 0.0412869i
\(442\) 0.757546i 0.0360328i
\(443\) −15.5288 21.3736i −0.737796 1.01549i −0.998742 0.0501355i \(-0.984035\pi\)
0.260947 0.965353i \(-0.415965\pi\)
\(444\) 5.92242 11.6234i 0.281065 0.551622i
\(445\) 16.1522 + 31.7005i 0.765688 + 1.50275i
\(446\) 31.4345 43.2659i 1.48847 2.04870i
\(447\) −22.0413 16.0140i −1.04252 0.757435i
\(448\) 20.9697 + 20.9697i 0.990723 + 0.990723i
\(449\) 22.1252 + 7.18892i 1.04415 + 0.339266i 0.780372 0.625316i \(-0.215030\pi\)
0.263783 + 0.964582i \(0.415030\pi\)
\(450\) −11.6572 −0.549524
\(451\) 1.82028 + 39.3107i 0.0857138 + 1.85107i
\(452\) −48.4959 −2.28105
\(453\) −27.4019 8.90343i −1.28746 0.418320i
\(454\) −3.49138 3.49138i −0.163858 0.163858i
\(455\) 3.47066 + 2.52158i 0.162707 + 0.118214i
\(456\) −3.30630 + 4.55073i −0.154832 + 0.213107i
\(457\) −4.13792 8.12113i −0.193564 0.379890i 0.773743 0.633500i \(-0.218382\pi\)
−0.967307 + 0.253609i \(0.918382\pi\)
\(458\) 20.5865 40.4032i 0.961942 1.88792i
\(459\) −1.10487 1.52073i −0.0515711 0.0709816i
\(460\) 30.7065i 1.43170i
\(461\) −31.8495 + 23.1400i −1.48338 + 1.07774i −0.506929 + 0.861988i \(0.669219\pi\)
−0.976449 + 0.215749i \(0.930781\pi\)
\(462\) −68.0794 10.7827i −3.16734 0.501658i
\(463\) 2.77611 + 17.5277i 0.129017 + 0.814580i 0.964310 + 0.264776i \(0.0852979\pi\)
−0.835293 + 0.549805i \(0.814702\pi\)
\(464\) 10.1496 5.17150i 0.471185 0.240081i
\(465\) 21.9486 21.9486i 1.01784 1.01784i
\(466\) 18.5725 2.94159i 0.860353 0.136267i
\(467\) 1.24330 + 3.82647i 0.0575329 + 0.177068i 0.975693 0.219141i \(-0.0703255\pi\)
−0.918160 + 0.396209i \(0.870326\pi\)
\(468\) −0.369903 + 2.33547i −0.0170988 + 0.107957i
\(469\) 2.62879 8.09059i 0.121386 0.373589i
\(470\) −28.9847 14.7685i −1.33697 0.681218i
\(471\) 8.44007 2.74234i 0.388898 0.126361i
\(472\) −14.0079 + 4.55144i −0.644766 + 0.209497i
\(473\) −14.3987 7.33649i −0.662052 0.337332i
\(474\) 6.27225 19.3040i 0.288094 0.886662i
\(475\) −1.06468 + 6.72212i −0.0488508 + 0.308432i
\(476\) 1.18456 + 3.64569i 0.0542940 + 0.167100i
\(477\) −7.72874 + 1.22411i −0.353875 + 0.0560482i
\(478\) −35.1738 + 35.1738i −1.60881 + 1.60881i
\(479\) 16.7284 8.52355i 0.764340 0.389451i −0.0279388 0.999610i \(-0.508894\pi\)
0.792279 + 0.610159i \(0.208894\pi\)
\(480\) 7.50366 + 47.3762i 0.342494 + 2.16242i
\(481\) −1.36528 0.216240i −0.0622515 0.00985967i
\(482\) −9.40786 + 6.83521i −0.428516 + 0.311335i
\(483\) 20.5025i 0.932896i
\(484\) 41.7497 + 57.4635i 1.89771 + 2.61198i
\(485\) −13.5250 + 26.5443i −0.614139 + 1.20532i
\(486\) −13.9856 27.4482i −0.634398 1.24508i
\(487\) 3.29322 4.53273i 0.149230 0.205398i −0.727857 0.685729i \(-0.759484\pi\)
0.877087 + 0.480331i \(0.159484\pi\)
\(488\) −1.16041 0.843088i −0.0525293 0.0381648i
\(489\) −25.4130 25.4130i −1.14922 1.14922i
\(490\) −5.93999 1.93002i −0.268341 0.0871894i
\(491\) 31.8490 1.43733 0.718663 0.695358i \(-0.244754\pi\)
0.718663 + 0.695358i \(0.244754\pi\)
\(492\) 33.7042 12.7029i 1.51950 0.572693i
\(493\) 2.96030 0.133325
\(494\) 2.30272 + 0.748200i 0.103604 + 0.0336631i
\(495\) −19.0716 19.0716i −0.857206 0.857206i
\(496\) −9.14916 6.64726i −0.410810 0.298471i
\(497\) −6.92323 + 9.52901i −0.310549 + 0.427434i
\(498\) −7.87878 15.4630i −0.353057 0.692913i
\(499\) 1.89386 3.71692i 0.0847810 0.166392i −0.844723 0.535203i \(-0.820235\pi\)
0.929504 + 0.368811i \(0.120235\pi\)
\(500\) 6.34300 + 8.73039i 0.283668 + 0.390435i
\(501\) 54.3354i 2.42753i
\(502\) 19.1076 13.8825i 0.852816 0.619607i
\(503\) −3.67805 0.582545i −0.163996 0.0259744i 0.0738965 0.997266i \(-0.476457\pi\)
−0.237892 + 0.971292i \(0.576457\pi\)
\(504\) 0.808122 + 5.10228i 0.0359966 + 0.227274i
\(505\) 11.5773 5.89893i 0.515183 0.262499i
\(506\) −36.9664 + 36.9664i −1.64336 + 1.64336i
\(507\) −26.4793 + 4.19390i −1.17599 + 0.186258i
\(508\) −14.9720 46.0792i −0.664277 2.04443i
\(509\) 4.30277 27.1666i 0.190717 1.20414i −0.687611 0.726079i \(-0.741341\pi\)
0.878328 0.478059i \(-0.158659\pi\)
\(510\) −2.44394 + 7.52167i −0.108219 + 0.333065i
\(511\) −1.30361 0.664220i −0.0576681 0.0293834i
\(512\) 22.6963 7.37449i 1.00305 0.325909i
\(513\) −5.71382 + 1.85653i −0.252271 + 0.0819680i
\(514\) 22.8270 + 11.6309i 1.00685 + 0.513018i
\(515\) 0.195772 0.602524i 0.00862674 0.0265504i
\(516\) −2.31380 + 14.6087i −0.101859 + 0.643113i
\(517\) −9.75833 30.0330i −0.429171 1.32085i
\(518\) −12.1164 + 1.91905i −0.532364 + 0.0843182i
\(519\) 10.2421 10.2421i 0.449580 0.449580i
\(520\) −2.19604 + 1.11894i −0.0963027 + 0.0490687i
\(521\) −0.365315 2.30651i −0.0160047 0.101050i 0.978393 0.206755i \(-0.0662902\pi\)
−0.994398 + 0.105705i \(0.966290\pi\)
\(522\) 16.0062 + 2.53513i 0.700573 + 0.110960i
\(523\) 10.9719 7.97156i 0.479768 0.348572i −0.321468 0.946921i \(-0.604176\pi\)
0.801236 + 0.598349i \(0.204176\pi\)
\(524\) 35.9551i 1.57070i
\(525\) 11.0450 + 15.2022i 0.482044 + 0.663477i
\(526\) 6.86303 13.4695i 0.299242 0.587296i
\(527\) −1.33425 2.61861i −0.0581207 0.114068i
\(528\) −17.3646 + 23.9003i −0.755698 + 1.04013i
\(529\) 6.02708 + 4.37893i 0.262047 + 0.190388i
\(530\) −23.4283 23.4283i −1.01766 1.01766i
\(531\) 14.8668 + 4.83052i 0.645165 + 0.209627i
\(532\) 12.2518 0.531182
\(533\) −2.38376 2.98062i −0.103252 0.129105i
\(534\) 55.4406 2.39915
\(535\) −44.0918 14.3263i −1.90626 0.619380i
\(536\) 3.45592 + 3.45592i 0.149273 + 0.149273i
\(537\) 26.8154 + 19.4825i 1.15717 + 0.840734i
\(538\) −37.3762 + 51.4439i −1.61140 + 2.21791i
\(539\) −2.75252 5.40213i −0.118559 0.232686i
\(540\) 11.2785 22.1354i 0.485351 0.952556i
\(541\) 20.2273 + 27.8405i 0.869640 + 1.19696i 0.979184 + 0.202974i \(0.0650608\pi\)
−0.109544 + 0.993982i \(0.534939\pi\)
\(542\) 2.25786i 0.0969835i
\(543\) 34.3746 24.9746i 1.47515 1.07176i
\(544\) 4.48569 + 0.710464i 0.192322 + 0.0304609i
\(545\) −2.74991 17.3623i −0.117793 0.743718i
\(546\) 5.95632 3.03490i 0.254907 0.129882i
\(547\) −4.29151 + 4.29151i −0.183492 + 0.183492i −0.792875 0.609384i \(-0.791417\pi\)
0.609384 + 0.792875i \(0.291417\pi\)
\(548\) 38.9402 6.16753i 1.66344 0.263464i
\(549\) 0.470415 + 1.44779i 0.0200768 + 0.0617901i
\(550\) 7.49542 47.3242i 0.319606 2.01791i
\(551\) 2.92378 8.99846i 0.124557 0.383347i
\(552\) 10.4952 + 5.34759i 0.446707 + 0.227609i
\(553\) −10.3505 + 3.36308i −0.440148 + 0.143013i
\(554\) −49.8012 + 16.1814i −2.11585 + 0.687481i
\(555\) −12.8583 6.55161i −0.545803 0.278100i
\(556\) −0.518051 + 1.59440i −0.0219703 + 0.0676175i
\(557\) −1.52108 + 9.60372i −0.0644502 + 0.406923i 0.934280 + 0.356541i \(0.116044\pi\)
−0.998730 + 0.0503819i \(0.983956\pi\)
\(558\) −4.97170 15.3013i −0.210469 0.647757i
\(559\) 1.54797 0.245175i 0.0654722 0.0103698i
\(560\) 11.5383 11.5383i 0.487581 0.487581i
\(561\) −6.84058 + 3.48545i −0.288810 + 0.147156i
\(562\) 6.43075 + 40.6021i 0.271265 + 1.71270i
\(563\) −19.5048 3.08926i −0.822030 0.130197i −0.268769 0.963205i \(-0.586617\pi\)
−0.553261 + 0.833008i \(0.686617\pi\)
\(564\) −23.3831 + 16.9888i −0.984605 + 0.715357i
\(565\) 53.6480i 2.25699i
\(566\) −26.6416 36.6691i −1.11983 1.54132i
\(567\) −12.5245 + 24.5808i −0.525981 + 1.03230i
\(568\) −3.07214 6.02942i −0.128904 0.252989i
\(569\) −21.8076 + 30.0155i −0.914220 + 1.25832i 0.0514845 + 0.998674i \(0.483605\pi\)
−0.965705 + 0.259643i \(0.916395\pi\)
\(570\) 20.4499 + 14.8577i 0.856553 + 0.622322i
\(571\) 9.74733 + 9.74733i 0.407913 + 0.407913i 0.881010 0.473097i \(-0.156864\pi\)
−0.473097 + 0.881010i \(0.656864\pi\)
\(572\) −9.24341 3.00337i −0.386486 0.125577i
\(573\) −13.1476 −0.549250
\(574\) −28.2938 18.6200i −1.18096 0.777186i
\(575\) 14.2520 0.594348
\(576\) 17.1974 + 5.58776i 0.716557 + 0.232823i
\(577\) 4.93444 + 4.93444i 0.205423 + 0.205423i 0.802319 0.596895i \(-0.203599\pi\)
−0.596895 + 0.802319i \(0.703599\pi\)
\(578\) −29.0616 21.1145i −1.20880 0.878245i
\(579\) 17.6767 24.3299i 0.734618 1.01112i
\(580\) 17.7621 + 34.8601i 0.737531 + 1.44749i
\(581\) −4.22448 + 8.29101i −0.175261 + 0.343969i
\(582\) 27.2868 + 37.5570i 1.13107 + 1.55679i
\(583\) 32.1632i 1.33206i
\(584\) 0.680029 0.494070i 0.0281398 0.0204448i
\(585\) 2.58359 + 0.409201i 0.106818 + 0.0169184i
\(586\) −3.80385 24.0165i −0.157135 0.992114i
\(587\) 0.548784 0.279619i 0.0226507 0.0115411i −0.442628 0.896705i \(-0.645954\pi\)
0.465279 + 0.885164i \(0.345954\pi\)
\(588\) −3.92392 + 3.92392i −0.161820 + 0.161820i
\(589\) −9.27760 + 1.46943i −0.382277 + 0.0605467i
\(590\) 20.4531 + 62.9483i 0.842042 + 2.59154i
\(591\) −3.04949 + 19.2537i −0.125439 + 0.791993i
\(592\) −1.62475 + 5.00046i −0.0667768 + 0.205518i
\(593\) 38.3541 + 19.5424i 1.57501 + 0.802509i 0.999879 0.0155502i \(-0.00495000\pi\)
0.575134 + 0.818059i \(0.304950\pi\)
\(594\) 40.2258 13.0701i 1.65048 0.536275i
\(595\) 4.03300 1.31040i 0.165337 0.0537212i
\(596\) −30.3768 15.4778i −1.24428 0.633994i
\(597\) 5.83765 17.9664i 0.238919 0.735317i
\(598\) 0.793152 5.00776i 0.0324344 0.204783i
\(599\) −13.1007 40.3197i −0.535278 1.64742i −0.743047 0.669239i \(-0.766620\pi\)
0.207769 0.978178i \(-0.433380\pi\)
\(600\) −10.6628 + 1.68883i −0.435308 + 0.0689461i
\(601\) 13.3208 13.3208i 0.543365 0.543365i −0.381148 0.924514i \(-0.624471\pi\)
0.924514 + 0.381148i \(0.124471\pi\)
\(602\) 12.3930 6.31452i 0.505099 0.257361i
\(603\) −0.811439 5.12322i −0.0330443 0.208634i
\(604\) −35.6103 5.64012i −1.44896 0.229493i
\(605\) 63.5683 46.1851i 2.58442 1.87769i
\(606\) 20.2474i 0.822493i
\(607\) 13.4407 + 18.4996i 0.545543 + 0.750875i 0.989399 0.145223i \(-0.0463899\pi\)
−0.443856 + 0.896098i \(0.646390\pi\)
\(608\) 6.58996 12.9335i 0.267258 0.524523i
\(609\) −11.8596 23.2758i −0.480576 0.943183i
\(610\) −3.78864 + 5.21462i −0.153398 + 0.211134i
\(611\) 2.47772 + 1.80017i 0.100238 + 0.0728270i
\(612\) 1.65275 + 1.65275i 0.0668085 + 0.0668085i
\(613\) −24.0488 7.81393i −0.971322 0.315602i −0.219973 0.975506i \(-0.570597\pi\)
−0.751350 + 0.659904i \(0.770597\pi\)
\(614\) −20.3967 −0.823142
\(615\) −14.0525 37.2849i −0.566651 1.50347i
\(616\) −21.2332 −0.855509
\(617\) 16.1405 + 5.24436i 0.649791 + 0.211130i 0.615322 0.788276i \(-0.289026\pi\)
0.0344691 + 0.999406i \(0.489026\pi\)
\(618\) −0.698065 0.698065i −0.0280803 0.0280803i
\(619\) 33.6865 + 24.4747i 1.35397 + 0.983720i 0.998803 + 0.0489186i \(0.0155775\pi\)
0.355171 + 0.934801i \(0.384423\pi\)
\(620\) 22.8308 31.4239i 0.916906 1.26201i
\(621\) 5.71157 + 11.2096i 0.229198 + 0.449826i
\(622\) 16.5273 32.4366i 0.662683 1.30059i
\(623\) −17.4727 24.0491i −0.700030 0.963509i
\(624\) 2.86515i 0.114698i
\(625\) 24.2775 17.6386i 0.971100 0.705545i
\(626\) 52.1871 + 8.26563i 2.08582 + 0.330361i
\(627\) 3.83858 + 24.2359i 0.153298 + 0.967887i
\(628\) 9.89467 5.04159i 0.394840 0.201181i
\(629\) −0.966173 + 0.966173i −0.0385238 + 0.0385238i
\(630\) 22.9285 3.63151i 0.913492 0.144683i
\(631\) 7.59021 + 23.3602i 0.302161 + 0.929957i 0.980721 + 0.195412i \(0.0626044\pi\)
−0.678560 + 0.734545i \(0.737396\pi\)
\(632\) 0.978121 6.17561i 0.0389076 0.245653i
\(633\) 1.63491 5.03173i 0.0649818 0.199993i
\(634\) 18.8848 + 9.62227i 0.750010 + 0.382149i
\(635\) −50.9746 + 16.5627i −2.02287 + 0.657269i
\(636\) −27.9973 + 9.09689i −1.11017 + 0.360715i
\(637\) 0.523921 + 0.266951i 0.0207585 + 0.0105770i
\(638\) −20.5836 + 63.3499i −0.814913 + 2.50805i
\(639\) −1.12350 + 7.09348i −0.0444449 + 0.280614i
\(640\) 9.67720 + 29.7833i 0.382525 + 1.17729i
\(641\) 22.7389 3.60148i 0.898131 0.142250i 0.309735 0.950823i \(-0.399760\pi\)
0.588396 + 0.808573i \(0.299760\pi\)
\(642\) −51.0834 + 51.0834i −2.01610 + 2.01610i
\(643\) −21.2226 + 10.8135i −0.836939 + 0.426442i −0.819274 0.573402i \(-0.805623\pi\)
−0.0176649 + 0.999844i \(0.505623\pi\)
\(644\) −4.01347 25.3401i −0.158153 0.998539i
\(645\) 16.1607 + 2.55961i 0.636329 + 0.100785i
\(646\) 1.93625 1.40676i 0.0761805 0.0553484i
\(647\) 19.1223i 0.751777i −0.926665 0.375889i \(-0.877338\pi\)
0.926665 0.375889i \(-0.122662\pi\)
\(648\) −9.31619 12.8226i −0.365975 0.503721i
\(649\) −29.1695 + 57.2484i −1.14500 + 2.24720i
\(650\) 2.10966 + 4.14043i 0.0827475 + 0.162401i
\(651\) −15.2439 + 20.9814i −0.597456 + 0.822328i
\(652\) −36.3839 26.4345i −1.42491 1.03525i
\(653\) −25.5620 25.5620i −1.00032 1.00032i −1.00000 0.000318893i \(-0.999898\pi\)
−0.000318893 1.00000i \(-0.500102\pi\)
\(654\) −26.0517 8.46470i −1.01870 0.330996i
\(655\) −39.7749 −1.55413
\(656\) −12.6161 + 7.18185i −0.492575 + 0.280404i
\(657\) −0.892102 −0.0348042
\(658\) 25.8495 + 8.39900i 1.00772 + 0.327427i
\(659\) −14.3256 14.3256i −0.558044 0.558044i 0.370706 0.928750i \(-0.379116\pi\)
−0.928750 + 0.370706i \(0.879116\pi\)
\(660\) −82.0884 59.6407i −3.19529 2.32151i
\(661\) −5.30607 + 7.30318i −0.206382 + 0.284061i −0.899643 0.436626i \(-0.856173\pi\)
0.693261 + 0.720687i \(0.256173\pi\)
\(662\) 19.8657 + 38.9886i 0.772103 + 1.51534i
\(663\) 0.338034 0.663429i 0.0131282 0.0257654i
\(664\) −3.14232 4.32503i −0.121946 0.167844i
\(665\) 13.5534i 0.525578i
\(666\) −6.05147 + 4.39665i −0.234490 + 0.170367i
\(667\) −19.5691 3.09944i −0.757718 0.120011i
\(668\) 10.6364 + 67.1558i 0.411536 + 2.59834i
\(669\) −46.8353 + 23.8638i −1.81076 + 0.922627i
\(670\) 15.5301 15.5301i 0.599980 0.599980i
\(671\) −6.18002 + 0.978818i −0.238577 + 0.0377869i
\(672\) −12.3845 38.1157i −0.477744 1.47035i
\(673\) 1.11504 7.04008i 0.0429816 0.271375i −0.956833 0.290639i \(-0.906132\pi\)
0.999814 + 0.0192636i \(0.00613217\pi\)
\(674\) −5.87421 + 18.0790i −0.226266 + 0.696376i
\(675\) −10.2738 5.23476i −0.395438 0.201486i
\(676\) −31.9061 + 10.3669i −1.22716 + 0.398727i
\(677\) 14.9246 4.84928i 0.573597 0.186373i −0.00783293 0.999969i \(-0.502493\pi\)
0.581430 + 0.813596i \(0.302493\pi\)
\(678\) 74.4864 + 37.9527i 2.86063 + 1.45757i
\(679\) 7.69183 23.6730i 0.295185 0.908487i
\(680\) −0.381118 + 2.40628i −0.0146152 + 0.0922767i
\(681\) 1.49968 + 4.61554i 0.0574679 + 0.176868i
\(682\) 65.3151 10.3449i 2.50104 0.396126i
\(683\) 19.3845 19.3845i 0.741729 0.741729i −0.231182 0.972911i \(-0.574259\pi\)
0.972911 + 0.231182i \(0.0742591\pi\)
\(684\) 6.65625 3.39153i 0.254508 0.129678i
\(685\) −6.82276 43.0772i −0.260684 1.64590i
\(686\) 41.7266 + 6.60884i 1.59313 + 0.252327i
\(687\) −36.0576 + 26.1974i −1.37568 + 0.999493i
\(688\) 5.96135i 0.227274i
\(689\) 1.83349 + 2.52359i 0.0698506 + 0.0961411i
\(690\) 24.0309 47.1632i 0.914839 1.79547i
\(691\) −15.4816 30.3844i −0.588948 1.15588i −0.972619 0.232406i \(-0.925340\pi\)
0.383671 0.923470i \(-0.374660\pi\)
\(692\) 10.6538 14.6637i 0.404998 0.557431i
\(693\) 18.2313 + 13.2458i 0.692549 + 0.503167i
\(694\) 7.15872 + 7.15872i 0.271741 + 0.271741i
\(695\) 1.76379 + 0.573089i 0.0669042 + 0.0217385i
\(696\) 15.0082 0.568884
\(697\) −3.76859 + 0.174505i −0.142746 + 0.00660984i
\(698\) −27.9710 −1.05872
\(699\) −17.5776 5.71132i −0.664848 0.216022i
\(700\) 16.6270 + 16.6270i 0.628441 + 0.628441i
\(701\) −21.2988 15.4745i −0.804445 0.584464i 0.107769 0.994176i \(-0.465629\pi\)
−0.912215 + 0.409712i \(0.865629\pi\)
\(702\) −2.41112 + 3.31862i −0.0910017 + 0.125253i
\(703\) 1.98264 + 3.89114i 0.0747765 + 0.146757i
\(704\) −33.7422 + 66.2228i −1.27171 + 2.49586i
\(705\) 18.7937 + 25.8673i 0.707810 + 0.974218i
\(706\) 42.7824i 1.61014i
\(707\) −8.78296 + 6.38119i −0.330317 + 0.239989i
\(708\) 58.0835 + 9.19953i 2.18291 + 0.345739i
\(709\) 1.29513 + 8.17714i 0.0486397 + 0.307099i 1.00000 0.000982939i \(-0.000312879\pi\)
−0.951360 + 0.308082i \(0.900313\pi\)
\(710\) −27.0948 + 13.8055i −1.01685 + 0.518111i
\(711\) −4.69234 + 4.69234i −0.175977 + 0.175977i
\(712\) 16.8681 2.67165i 0.632160 0.100124i
\(713\) 6.07837 + 18.7073i 0.227637 + 0.700593i
\(714\) 1.03371 6.52656i 0.0386855 0.244250i
\(715\) −3.32244 + 10.2254i −0.124252 + 0.382409i
\(716\) 36.9563 + 18.8302i 1.38112 + 0.703717i
\(717\) 46.4991 15.1085i 1.73654 0.564236i
\(718\) 3.23124 1.04989i 0.120589 0.0391817i
\(719\) 12.5280 + 6.38331i 0.467214 + 0.238057i 0.671716 0.740809i \(-0.265558\pi\)
−0.204502 + 0.978866i \(0.565558\pi\)
\(720\) 3.07459 9.46263i 0.114583 0.352651i
\(721\) −0.0828052 + 0.522811i −0.00308383 + 0.0194705i
\(722\) 10.3013 + 31.7041i 0.383374 + 1.17990i
\(723\) 11.2891 1.78801i 0.419845 0.0664968i
\(724\) 37.5963 37.5963i 1.39726 1.39726i
\(725\) 16.1798 8.24400i 0.600901 0.306175i
\(726\) −19.1539 120.933i −0.710870 4.48825i
\(727\) 3.58748 + 0.568201i 0.133052 + 0.0210734i 0.222605 0.974909i \(-0.428544\pi\)
−0.0895531 + 0.995982i \(0.528544\pi\)
\(728\) 1.66600 1.21042i 0.0617459 0.0448610i
\(729\) 3.47123i 0.128564i
\(730\) −2.22024 3.05589i −0.0821747 0.113104i
\(731\) 0.703327 1.38036i 0.0260135 0.0510543i
\(732\) 2.59996 + 5.10272i 0.0960974 + 0.188602i
\(733\) −11.2030 + 15.4196i −0.413793 + 0.569537i −0.964138 0.265400i \(-0.914496\pi\)
0.550346 + 0.834937i \(0.314496\pi\)
\(734\) 18.4276 + 13.3885i 0.680177 + 0.494177i
\(735\) 4.34079 + 4.34079i 0.160112 + 0.160112i
\(736\) −28.9088 9.39305i −1.06559 0.346232i
\(737\) 21.3203 0.785345
\(738\) −20.5260 2.28380i −0.755574 0.0840677i
\(739\) 3.70903 0.136439 0.0682195 0.997670i \(-0.478268\pi\)
0.0682195 + 0.997670i \(0.478268\pi\)
\(740\) −17.1747 5.58039i −0.631353 0.205139i
\(741\) −1.68277 1.68277i −0.0618181 0.0618181i
\(742\) 22.3959 + 16.2716i 0.822181 + 0.597349i
\(743\) 22.4945 30.9610i 0.825243 1.13585i −0.163546 0.986536i \(-0.552293\pi\)
0.988790 0.149314i \(-0.0477067\pi\)
\(744\) −6.76440 13.2759i −0.247995 0.486717i
\(745\) −17.1221 + 33.6040i −0.627305 + 1.23116i
\(746\) −45.1333 62.1207i −1.65245 2.27440i
\(747\) 5.67382i 0.207594i
\(748\) −7.77232 + 5.64692i −0.284184 + 0.206472i
\(749\) 38.2586 + 6.05956i 1.39794 + 0.221412i
\(750\) −2.91005 18.3733i −0.106260 0.670899i
\(751\) 45.1176 22.9886i 1.64636 0.838864i 0.649446 0.760407i \(-0.275001\pi\)
0.996918 0.0784569i \(-0.0249993\pi\)
\(752\) 8.23722 8.23722i 0.300380 0.300380i
\(753\) −22.9284 + 3.63150i −0.835558 + 0.132339i
\(754\) −1.99629 6.14394i −0.0727005 0.223749i
\(755\) −6.23932 + 39.3935i −0.227072 + 1.43368i
\(756\) −6.41424 + 19.7410i −0.233284 + 0.717974i
\(757\) −16.4699 8.39181i −0.598607 0.305006i 0.128306 0.991735i \(-0.459046\pi\)
−0.726914 + 0.686729i \(0.759046\pi\)
\(758\) 3.39830 1.10417i 0.123432 0.0401054i
\(759\) 48.8690 15.8785i 1.77383 0.576353i
\(760\) 6.93799 + 3.53508i 0.251667 + 0.128231i
\(761\) −4.05425 + 12.4777i −0.146967 + 0.452317i −0.997259 0.0739945i \(-0.976425\pi\)
0.850292 + 0.526311i \(0.176425\pi\)
\(762\) −13.0654 + 82.4917i −0.473309 + 2.98836i
\(763\) 4.53864 + 13.9685i 0.164310 + 0.505694i
\(764\) −16.2498 + 2.57372i −0.587898 + 0.0931138i