Properties

Label 41.2.g.a.2.1
Level 41
Weight 2
Character 41.2
Analytic conductor 0.327
Analytic rank 0
Dimension 24
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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

$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{13}{20}\right)\)

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 −0.925201 0.379477i \(-0.876104\pi\)
−0.525452 + 0.850823i \(0.676104\pi\)
\(3\) 1.49921 1.49921i 0.865568 0.865568i −0.126410 0.991978i \(-0.540346\pi\)
0.991978 + 0.126410i \(0.0403456\pi\)
\(4\) 2.14642 1.55947i 1.07321 0.779734i
\(5\) 1.72514 + 2.37446i 0.771508 + 1.06189i 0.996169 + 0.0874522i \(0.0278725\pi\)
−0.224661 + 0.974437i \(0.572127\pi\)
\(6\) −2.07633 + 4.07502i −0.847657 + 1.66362i
\(7\) −1.11329 2.18496i −0.420786 0.825839i −0.999944 0.0106232i \(-0.996618\pi\)
0.579158 0.815216i \(-0.303382\pi\)
\(8\) −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 −0.973974 0.226660i \(-0.927219\pi\)
−0.856262 + 0.516541i \(0.827219\pi\)
\(12\) 0.879968 5.55590i 0.254025 1.60385i
\(13\) 0.531087 + 0.270602i 0.147297 + 0.0750516i 0.526085 0.850432i \(-0.323659\pi\)
−0.378788 + 0.925483i \(0.623659\pi\)
\(14\) 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 0.996341 0.0854651i \(-0.0272376\pi\)
−0.973987 + 0.226604i \(0.927238\pi\)
\(18\) 0.996707 + 3.06755i 0.234926 + 0.723028i
\(19\) −1.67787 + 0.854919i −0.384931 + 0.196132i −0.635738 0.771905i \(-0.719304\pi\)
0.250807 + 0.968037i \(0.419304\pi\)
\(20\) 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 −0.994008 0.109309i \(-0.965136\pi\)
0.739919 0.672696i \(-0.234864\pi\)
\(24\) 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 −0.800652 0.599129i \(-0.795514\pi\)
0.946607 0.322390i \(-0.104486\pi\)
\(30\) −13.2579 + 2.09985i −2.42055 + 0.383378i
\(31\) 4.03548 + 2.93195i 0.724794 + 0.526593i 0.887912 0.460013i \(-0.152155\pi\)
−0.163118 + 0.986606i \(0.552155\pi\)
\(32\) 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 −0.731228 0.682133i \(-0.761052\pi\)
0.422785 + 0.906230i \(0.361052\pi\)
\(38\) 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 −0.112065 0.993701i \(-0.535746\pi\)
0.493420 + 0.869791i \(0.335746\pi\)
\(44\) −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 −0.655950 0.754804i \(-0.727732\pi\)
0.996207 + 0.0870119i \(0.0277318\pi\)
\(48\) 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 −0.865459 0.500980i \(-0.832973\pi\)
0.977912 0.209019i \(-0.0670271\pi\)
\(54\) −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 0.907158 + 0.420791i \(0.138247\pi\)
−0.486572 + 0.873641i \(0.661753\pi\)
\(60\) 14.7103 7.49528i 1.89909 0.967636i
\(61\) 0.968261 + 0.314607i 0.123973 + 0.0402813i 0.370347 0.928894i \(-0.379239\pi\)
−0.246373 + 0.969175i \(0.579239\pi\)
\(62\) −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 −0.0564152 0.998407i \(-0.517967\pi\)
−0.362179 + 0.932109i \(0.617967\pi\)
\(68\) 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 0.131560 0.991308i \(-0.458001\pi\)
0.431452 + 0.902136i \(0.358001\pi\)
\(72\) 1.70427 + 1.23822i 0.200850 + 0.145926i
\(73\) 0.596626i 0.0698297i −0.999390 0.0349149i \(-0.988884\pi\)
0.999390 0.0349149i \(-0.0111160\pi\)
\(74\) 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 −0.508179 0.861251i \(-0.669681\pi\)
0.861251 + 0.508179i \(0.169681\pi\)
\(80\) −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 −0.974463 0.224549i \(-0.927909\pi\)
0.391111 0.920343i \(-0.372091\pi\)
\(90\) −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 −0.374900 0.927065i \(-0.622323\pi\)
−0.643030 + 0.765841i \(0.722323\pi\)
\(98\) −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 −0.246591 0.969120i \(-0.579311\pi\)
0.639091 + 0.769131i \(0.279311\pi\)
\(102\) −2.56276 0.832690i −0.253751 0.0824486i
\(103\) 0.205290 + 0.0667028i 0.0202278 + 0.00657242i 0.319113 0.947717i \(-0.396615\pi\)
−0.298886 + 0.954289i \(0.596615\pi\)
\(104\) −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 0.378229 + 0.925712i \(0.376533\pi\)
−0.850113 + 0.526600i \(0.823467\pi\)
\(108\) 8.36026 + 1.32413i 0.804466 + 0.127415i
\(109\) 4.23511 + 4.23511i 0.405650 + 0.405650i 0.880219 0.474568i \(-0.157396\pi\)
−0.474568 + 0.880219i \(0.657396\pi\)
\(110\) 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 −0.995741 0.0921939i \(-0.970612\pi\)
−0.395383 0.918517i \(-0.629388\pi\)
\(114\) 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 −0.310985 + 0.950415i \(0.600659\pi\)
−0.999998 + 0.00206962i \(0.999341\pi\)
\(128\) −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 0.304024 + 0.952664i \(0.401670\pi\)
−0.999986 + 0.00524501i \(0.998330\pi\)
\(132\) 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 0.995235 0.0975051i \(-0.0310862\pi\)
−0.0975051 + 0.995235i \(0.531086\pi\)
\(138\) 17.8130 + 2.82129i 1.51634 + 0.240165i
\(139\) 0.195261 0.600951i 0.0165618 0.0509720i −0.942434 0.334392i \(-0.891469\pi\)
0.958996 + 0.283420i \(0.0914690\pi\)
\(140\) −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 −0.386866 0.922136i \(-0.626443\pi\)
−0.652887 + 0.757455i \(0.726443\pi\)
\(150\) −11.6880 11.6880i −0.954325 0.954325i
\(151\) −12.1082 6.16943i −0.985350 0.502061i −0.114401 0.993435i \(-0.536495\pi\)
−0.870949 + 0.491374i \(0.836495\pi\)
\(152\) 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 0.954318 0.298792i \(-0.0965837\pi\)
−0.802662 + 0.596434i \(0.796584\pi\)
\(158\) −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 0.609446 0.792827i \(-0.291392\pi\)
0.792827 0.609446i \(-0.208608\pi\)
\(168\) 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 \(0.0836245\pi\)
−0.965689 + 0.259702i \(0.916376\pi\)
\(174\) 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 0.704009 0.710191i \(-0.251391\pi\)
0.450092 + 0.892982i \(0.351391\pi\)
\(180\) 3.59798 11.0735i 0.268178 0.825367i
\(181\) 3.13498 + 19.7935i 0.233022 + 1.47124i 0.775594 + 0.631232i \(0.217450\pi\)
−0.542573 + 0.840009i \(0.682550\pi\)
\(182\) 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 0.530443 0.847721i \(-0.322026\pi\)
−0.847721 + 0.530443i \(0.822026\pi\)
\(192\) 22.8455 + 11.6404i 1.64873 + 0.840071i
\(193\) −2.21890 + 14.0096i −0.159720 + 1.00843i 0.769430 + 0.638731i \(0.220540\pi\)
−0.929150 + 0.369702i \(0.879460\pi\)
\(194\) 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 −0.571872 0.820343i \(-0.693783\pi\)
0.956911 + 0.290383i \(0.0937827\pi\)
\(198\) −8.99944 17.6624i −0.639562 1.25521i
\(199\) −4.04507 + 7.93889i −0.286747 + 0.562773i −0.988781 0.149370i \(-0.952275\pi\)
0.702034 + 0.712143i \(0.252275\pi\)
\(200\) −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 −0.926709 0.375781i \(-0.877375\pi\)
0.848719 + 0.528845i \(0.177375\pi\)
\(212\) −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 −0.786832 0.617168i \(-0.788280\pi\)
0.273798 0.961787i \(-0.411720\pi\)
\(224\) −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 −0.384996 0.922918i \(-0.625797\pi\)
0.520361 + 0.853946i \(0.325797\pi\)
\(228\) 3.27337 + 10.0744i 0.216784 + 0.667193i
\(229\) −3.28848 20.7626i −0.217309 1.37203i −0.819224 0.573474i \(-0.805596\pi\)
0.601915 0.798560i \(-0.294404\pi\)
\(230\) −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 0.180670 0.983544i \(-0.442174\pi\)
−0.689509 + 0.724277i \(0.742174\pi\)
\(234\) −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 0.932138 + 0.362102i \(0.117941\pi\)
−0.254950 + 0.966954i \(0.582059\pi\)
\(240\) −6.40496 + 12.5704i −0.413438 + 0.811418i
\(241\) 3.16869 + 4.36133i 0.204113 + 0.280938i 0.898786 0.438389i \(-0.144451\pi\)
−0.694672 + 0.719326i \(0.744451\pi\)
\(242\) −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 0.556073 0.831133i \(-0.312307\pi\)
−0.962291 + 0.272023i \(0.912307\pi\)
\(252\) −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 −0.511169 0.859480i \(-0.670787\pi\)
−0.220557 + 0.975374i \(0.570787\pi\)
\(258\) −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 −0.998158 0.0606678i \(-0.980677\pi\)
0.930557 0.366146i \(-0.119323\pi\)
\(264\) −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 0.694869 + 0.719136i \(0.255462\pi\)
−0.139463 + 0.990227i \(0.544538\pi\)
\(270\) −3.15976 19.9499i −0.192297 1.21411i
\(271\) −0.323450 + 0.995477i −0.0196482 + 0.0604709i −0.960400 0.278625i \(-0.910121\pi\)
0.940752 + 0.339096i \(0.110121\pi\)
\(272\) −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 0.992171 0.124890i \(-0.0398577\pi\)
0.187820 + 0.982203i \(0.439858\pi\)
\(278\) 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 0.475002 + 0.879985i \(0.342447\pi\)
−0.991122 + 0.132957i \(0.957553\pi\)
\(282\) 13.8127 + 19.0115i 0.822532 + 1.13212i
\(283\) 16.9992 12.3506i 1.01050 0.734168i 0.0461826 0.998933i \(-0.485294\pi\)
0.964313 + 0.264765i \(0.0852944\pi\)
\(284\) 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 −0.691834 0.722057i \(-0.743197\pi\)
0.990806 + 0.135291i \(0.0431968\pi\)
\(294\) 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 0.554177 0.832399i \(-0.313033\pi\)
−0.0409331 + 0.999162i \(0.513033\pi\)
\(308\) 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 −0.942135 0.335234i \(-0.891185\pi\)
0.792431 0.609962i \(-0.208815\pi\)
\(312\) −0.550189 + 1.69331i −0.0311483 + 0.0958647i
\(313\) −24.1931 3.83181i −1.36747 0.216587i −0.570846 0.821057i \(-0.693385\pi\)
−0.796628 + 0.604471i \(0.793385\pi\)
\(314\) −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 −0.422894 0.906179i \(-0.638986\pi\)
−0.122171 + 0.992509i \(0.538986\pi\)
\(318\) 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 −0.981235 0.192818i \(-0.938237\pi\)
0.192818 + 0.981235i \(0.438237\pi\)
\(332\) 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 \(0.0771545\pi\)
−0.970768 + 0.240021i \(0.922846\pi\)
\(338\) 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 −0.562618 0.826717i \(-0.690206\pi\)
0.338129 + 0.941100i \(0.390206\pi\)
\(348\) −26.8797 8.73374i −1.44090 0.468178i
\(349\) 12.3323 + 4.00699i 0.660130 + 0.214489i 0.619876 0.784700i \(-0.287183\pi\)
0.0402548 + 0.999189i \(0.487183\pi\)
\(350\) −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 −0.644692 0.764443i \(-0.723014\pi\)
0.970895 0.239507i \(-0.0769857\pi\)
\(354\) −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 0.553652 0.832748i \(-0.313234\pi\)
−0.620903 + 0.783887i \(0.713234\pi\)
\(360\) 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 −0.559159 0.829060i \(-0.688876\pi\)
0.0349400 + 0.999389i \(0.488876\pi\)
\(368\) 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 0.517349 0.855774i \(-0.326919\pi\)
0.973760 0.227579i \(-0.0730811\pi\)
\(374\) 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 0.552835 0.833291i \(-0.313546\pi\)
−0.621671 + 0.783278i \(0.713546\pi\)
\(380\) −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 0.861284 0.508123i \(-0.169661\pi\)
−0.508123 + 0.861284i \(0.669661\pi\)
\(384\) −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 −0.108724 0.994072i \(-0.534677\pi\)
−0.672261 + 0.740314i \(0.734677\pi\)
\(390\) −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 0.807106 0.590407i \(-0.201033\pi\)
−0.00324401 + 0.999995i \(0.501033\pi\)
\(398\) 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 \(-0.928668\pi\)
0.974995 0.222226i \(-0.0713324\pi\)
\(402\) 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 \(-0.938109\pi\)
0.981157 0.193212i \(-0.0618906\pi\)
\(420\) −32.7538 23.7970i −1.59822 1.16118i
\(421\) 16.1064 2.55101i 0.784979 0.124329i 0.248937 0.968520i \(-0.419919\pi\)
0.536042 + 0.844191i \(0.319919\pi\)
\(422\) 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 0.318025 0.948082i \(-0.396980\pi\)
−0.299981 + 0.953945i \(0.596980\pi\)
\(432\) −6.44480 + 3.28379i −0.310075 + 0.157991i
\(433\) −5.34527 16.4510i −0.256877 0.790587i −0.993454 0.114233i \(-0.963559\pi\)
0.736577 0.676354i \(-0.236441\pi\)
\(434\) 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 −0.986075 0.166301i \(-0.946818\pi\)
0.989203 + 0.146552i \(0.0468176\pi\)
\(440\) 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 0.260947 + 0.965353i \(0.415965\pi\)
−0.998742 + 0.0501355i \(0.984035\pi\)
\(444\) 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 0.263783 0.964582i \(-0.415030\pi\)
0.780372 + 0.625316i \(0.215030\pi\)
\(450\) −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 −0.967307 0.253609i \(-0.918382\pi\)
0.773743 + 0.633500i \(0.218382\pi\)
\(458\) 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 −0.976449 0.215749i \(-0.930781\pi\)
−0.506929 0.861988i \(-0.669219\pi\)
\(462\) −68.0794 + 10.7827i −3.16734 + 0.501658i
\(463\) 2.77611 17.5277i 0.129017 0.814580i −0.835293 0.549805i \(-0.814702\pi\)
0.964310 0.264776i \(-0.0852979\pi\)
\(464\) 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 −0.918160 0.396209i \(-0.870326\pi\)
0.975693 + 0.219141i \(0.0703255\pi\)
\(468\) −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 0.792279 0.610159i \(-0.208894\pi\)
−0.0279388 + 0.999610i \(0.508894\pi\)
\(480\) 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 0.877087 0.480331i \(-0.159484\pi\)
−0.727857 + 0.685729i \(0.759484\pi\)
\(488\) −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 0.929504 0.368811i \(-0.120235\pi\)
−0.844723 + 0.535203i \(0.820235\pi\)
\(500\) 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 −0.237892 0.971292i \(-0.576457\pi\)
0.0738965 + 0.997266i \(0.476457\pi\)
\(504\) 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 0.878328 + 0.478059i \(0.158659\pi\)
−0.687611 + 0.726079i \(0.741341\pi\)
\(510\) −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 −0.994398 0.105705i \(-0.966290\pi\)
0.978393 + 0.206755i \(0.0662902\pi\)
\(522\) 16.0062 2.53513i 0.700573 0.110960i
\(523\) 10.9719 + 7.97156i 0.479768 + 0.348572i 0.801236 0.598349i \(-0.204176\pi\)
−0.321468 + 0.946921i \(0.604176\pi\)
\(524\) 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 −0.109544 0.993982i \(-0.534939\pi\)
0.979184 0.202974i \(-0.0650608\pi\)
\(542\) 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 0.609384 0.792875i \(-0.291417\pi\)
−0.792875 + 0.609384i \(0.791417\pi\)
\(548\) 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 −0.998730 0.0503819i \(-0.983956\pi\)
0.934280 0.356541i \(-0.116044\pi\)
\(558\) −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 −0.553261 0.833008i \(-0.686617\pi\)
−0.268769 + 0.963205i \(0.586617\pi\)
\(564\) −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 −0.965705 0.259643i \(-0.916395\pi\)
0.0514845 0.998674i \(-0.483605\pi\)
\(570\) 20.4499 14.8577i 0.856553 0.622322i
\(571\) 9.74733 9.74733i 0.407913 0.407913i −0.473097 0.881010i \(-0.656864\pi\)
0.881010 + 0.473097i \(0.156864\pi\)
\(572\) −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 −0.596895 0.802319i \(-0.703599\pi\)
0.802319 + 0.596895i \(0.203599\pi\)
\(578\) −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 0.465279 0.885164i \(-0.345954\pi\)
−0.442628 + 0.896705i \(0.645954\pi\)
\(588\) −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 0.575134 0.818059i \(-0.304950\pi\)
0.999879 + 0.0155502i \(0.00495000\pi\)
\(594\) 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 0.207769 + 0.978178i \(0.433380\pi\)
−0.743047 + 0.669239i \(0.766620\pi\)
\(600\) −10.6628 1.68883i −0.435308 0.0689461i
\(601\) 13.3208 + 13.3208i 0.543365 + 0.543365i 0.924514 0.381148i \(-0.124471\pi\)
−0.381148 + 0.924514i \(0.624471\pi\)
\(602\) 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 −0.443856 0.896098i \(-0.646390\pi\)
0.989399 + 0.145223i \(0.0463899\pi\)
\(608\) 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 −0.751350 0.659904i \(-0.770597\pi\)
−0.219973 + 0.975506i \(0.570597\pi\)
\(614\) −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 0.0344691 0.999406i \(-0.489026\pi\)
0.615322 + 0.788276i \(0.289026\pi\)
\(618\) −0.698065 + 0.698065i −0.0280803 + 0.0280803i
\(619\) 33.6865 24.4747i 1.35397 0.983720i 0.355171 0.934801i \(-0.384423\pi\)
0.998803 0.0489186i \(-0.0155775\pi\)
\(620\) 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 −0.678560 0.734545i \(-0.737396\pi\)
0.980721 0.195412i \(-0.0626044\pi\)
\(632\) 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 0.588396 0.808573i \(-0.299760\pi\)
0.309735 + 0.950823i \(0.399760\pi\)
\(642\) −51.0834 51.0834i −2.01610 2.01610i
\(643\) −21.2226 10.8135i −0.836939 0.426442i −0.0176649 0.999844i \(-0.505623\pi\)
−0.819274 + 0.573402i \(0.805623\pi\)
\(644\) −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 \(0.122662\pi\)
−0.926665 + 0.375889i \(0.877338\pi\)
\(648\) −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 −0.000318893 1.00000i \(0.500102\pi\)
−1.00000 0.000318893i \(0.999898\pi\)
\(654\) −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 −0.928750 0.370706i \(-0.879116\pi\)
0.370706 + 0.928750i \(0.379116\pi\)
\(660\) −82.0884 + 59.6407i −3.19529 + 2.32151i
\(661\) −5.30607 7.30318i −0.206382 0.284061i 0.693261 0.720687i \(-0.256173\pi\)
−0.899643 + 0.436626i \(0.856173\pi\)
\(662\) 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 0.999814 0.0192636i \(-0.00613217\pi\)
−0.956833 + 0.290639i \(0.906132\pi\)
\(674\) −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 0.581430 0.813596i \(-0.302493\pi\)
−0.00783293 + 0.999969i \(0.502493\pi\)
\(678\) 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 0.972911 0.231182i \(-0.0742591\pi\)
−0.231182 + 0.972911i \(0.574259\pi\)
\(684\) 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 0.383671 + 0.923470i \(0.374660\pi\)
−0.972619 + 0.232406i \(0.925340\pi\)
\(692\) 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 −0.912215 0.409712i \(-0.865629\pi\)
0.107769 + 0.994176i \(0.465629\pi\)
\(702\) −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 −0.951360 0.308082i \(-0.900313\pi\)
1.00000 0.000982939i \(0.000312879\pi\)
\(710\) −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 −0.204502 0.978866i \(-0.565558\pi\)
0.671716 + 0.740809i \(0.265558\pi\)
\(720\) 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 −0.0895531 0.995982i \(-0.528544\pi\)
0.222605 + 0.974909i \(0.428544\pi\)
\(728\) 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 0.550346 0.834937i \(-0.314496\pi\)
−0.964138 + 0.265400i \(0.914496\pi\)
\(734\) 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 0.988790 + 0.149314i \(0.0477067\pi\)
−0.163546 + 0.986536i \(0.552293\pi\)
\(744\) −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 0.996918 + 0.0784569i \(0.0249993\pi\)
0.649446 + 0.760407i \(0.275001\pi\)
\(752\) 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 −0.726914 0.686729i \(-0.759046\pi\)
0.128306 + 0.991735i \(0.459046\pi\)
\(758\) 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 0.850292 0.526311i \(-0.176425\pi\)
−0.997259 + 0.0739945i \(0.976425\pi\)
\(762\) −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