Properties

Label 41.2.g.a.8.1
Level 41
Weight 2
Character 41.8
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 8.1
Character \(\chi\) = 41.8
Dual form 41.2.g.a.36.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.61018 + 2.21623i) q^{2} +(1.24382 + 1.24382i) q^{3} +(-1.70094 - 5.23496i) q^{4} +(-1.15434 + 0.375067i) q^{5} +(-4.75938 + 0.753811i) q^{6} +(1.19485 + 0.189245i) q^{7} +(9.13005 + 2.96653i) q^{8} +0.0941838i q^{9} +O(q^{10})\) \(q+(-1.61018 + 2.21623i) q^{2} +(1.24382 + 1.24382i) q^{3} +(-1.70094 - 5.23496i) q^{4} +(-1.15434 + 0.375067i) q^{5} +(-4.75938 + 0.753811i) q^{6} +(1.19485 + 0.189245i) q^{7} +(9.13005 + 2.96653i) q^{8} +0.0941838i q^{9} +(1.02746 - 3.16221i) q^{10} +(0.836104 - 0.426016i) q^{11} +(4.39569 - 8.62703i) q^{12} +(0.289312 + 1.82664i) q^{13} +(-2.34333 + 2.34333i) q^{14} +(-1.90231 - 0.969274i) q^{15} +(-12.3693 + 8.98684i) q^{16} +(-1.02572 - 2.01309i) q^{17} +(-0.208733 - 0.151653i) q^{18} +(0.815977 - 5.15188i) q^{19} +(3.92693 + 5.40495i) q^{20} +(1.25079 + 1.72156i) q^{21} +(-0.402132 + 2.53896i) q^{22} +(-5.31348 - 3.86047i) q^{23} +(7.66631 + 15.0460i) q^{24} +(-2.85326 + 2.07302i) q^{25} +(-4.51411 - 2.30005i) q^{26} +(3.61432 - 3.61432i) q^{27} +(-1.04167 - 6.57687i) q^{28} +(-0.689088 + 1.35241i) q^{29} +(5.21120 - 2.65524i) q^{30} +(-0.515703 + 1.58717i) q^{31} -22.6839i q^{32} +(1.56985 + 0.510076i) q^{33} +(6.11308 + 0.968216i) q^{34} +(-1.45024 + 0.229695i) q^{35} +(0.493049 - 0.160201i) q^{36} +(1.97146 + 6.06752i) q^{37} +(10.1039 + 10.1039i) q^{38} +(-1.91217 + 2.63187i) q^{39} -11.6518 q^{40} +(4.89143 + 4.13206i) q^{41} -5.82938 q^{42} +(0.714124 - 0.982908i) q^{43} +(-3.65235 - 3.65235i) q^{44} +(-0.0353253 - 0.108720i) q^{45} +(17.1114 - 5.55982i) q^{46} +(-5.36365 + 0.849519i) q^{47} +(-26.5633 - 4.20721i) q^{48} +(-5.26555 - 1.71088i) q^{49} -9.66143i q^{50} +(1.22811 - 3.77974i) q^{51} +(9.07032 - 4.62156i) q^{52} +(-4.56121 + 8.95188i) q^{53} +(2.19044 + 13.8299i) q^{54} +(-0.805362 + 0.805362i) q^{55} +(10.3476 + 5.27237i) q^{56} +(7.42295 - 5.39309i) q^{57} +(-1.88770 - 3.70481i) q^{58} +(-6.23053 - 4.52674i) q^{59} +(-1.83840 + 11.6072i) q^{60} +(0.982392 + 1.35215i) q^{61} +(-2.68716 - 3.69855i) q^{62} +(-0.0178238 + 0.112535i) q^{63} +(25.5342 + 18.5517i) q^{64} +(-1.01908 - 2.00005i) q^{65} +(-3.65820 + 2.65784i) q^{66} +(13.1161 + 6.68301i) q^{67} +(-8.79377 + 8.79377i) q^{68} +(-1.80728 - 11.4107i) q^{69} +(1.82609 - 3.58391i) q^{70} +(2.77828 - 1.41561i) q^{71} +(-0.279399 + 0.859903i) q^{72} -0.596826i q^{73} +(-16.6214 - 5.40063i) q^{74} +(-6.12741 - 0.970487i) q^{75} +(-28.3578 + 4.49144i) q^{76} +(1.07964 - 0.350796i) q^{77} +(-2.75389 - 8.47560i) q^{78} +(-5.89711 - 5.89711i) q^{79} +(10.9077 - 15.0132i) q^{80} +9.27368 q^{81} +(-17.0337 + 4.18715i) q^{82} +11.1844 q^{83} +(6.88480 - 9.47611i) q^{84} +(1.93908 + 1.93908i) q^{85} +(1.02848 + 3.16533i) q^{86} +(-2.53926 + 0.825056i) q^{87} +(8.89746 - 1.40922i) q^{88} +(6.08909 + 0.964418i) q^{89} +(0.297829 + 0.0967704i) q^{90} +2.23731i q^{91} +(-11.1715 + 34.3823i) q^{92} +(-2.61560 + 1.33271i) q^{93} +(6.75374 - 13.2550i) q^{94} +(0.990387 + 6.25306i) q^{95} +(28.2148 - 28.2148i) q^{96} +(-15.0243 - 7.65525i) q^{97} +(12.2702 - 8.91483i) q^{98} +(0.0401238 + 0.0787475i) 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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{19}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.61018 + 2.21623i −1.13857 + 1.56711i −0.367917 + 0.929858i \(0.619929\pi\)
−0.770655 + 0.637252i \(0.780071\pi\)
\(3\) 1.24382 + 1.24382i 0.718121 + 0.718121i 0.968220 0.250099i \(-0.0804633\pi\)
−0.250099 + 0.968220i \(0.580463\pi\)
\(4\) −1.70094 5.23496i −0.850472 2.61748i
\(5\) −1.15434 + 0.375067i −0.516236 + 0.167735i −0.555536 0.831492i \(-0.687487\pi\)
0.0393006 + 0.999227i \(0.487487\pi\)
\(6\) −4.75938 + 0.753811i −1.94301 + 0.307742i
\(7\) 1.19485 + 0.189245i 0.451609 + 0.0715279i 0.378096 0.925766i \(-0.376579\pi\)
0.0735133 + 0.997294i \(0.476579\pi\)
\(8\) 9.13005 + 2.96653i 3.22796 + 1.04883i
\(9\) 0.0941838i 0.0313946i
\(10\) 1.02746 3.16221i 0.324912 0.999977i
\(11\) 0.836104 0.426016i 0.252095 0.128449i −0.323377 0.946270i \(-0.604818\pi\)
0.575472 + 0.817821i \(0.304818\pi\)
\(12\) 4.39569 8.62703i 1.26893 2.49041i
\(13\) 0.289312 + 1.82664i 0.0802407 + 0.506620i 0.994773 + 0.102108i \(0.0325587\pi\)
−0.914533 + 0.404512i \(0.867441\pi\)
\(14\) −2.34333 + 2.34333i −0.626282 + 0.626282i
\(15\) −1.90231 0.969274i −0.491174 0.250265i
\(16\) −12.3693 + 8.98684i −3.09233 + 2.24671i
\(17\) −1.02572 2.01309i −0.248774 0.488247i 0.732524 0.680741i \(-0.238342\pi\)
−0.981298 + 0.192495i \(0.938342\pi\)
\(18\) −0.208733 0.151653i −0.0491988 0.0357450i
\(19\) 0.815977 5.15188i 0.187198 1.18192i −0.697788 0.716304i \(-0.745832\pi\)
0.884986 0.465618i \(-0.154168\pi\)
\(20\) 3.92693 + 5.40495i 0.878088 + 1.20858i
\(21\) 1.25079 + 1.72156i 0.272944 + 0.375676i
\(22\) −0.402132 + 2.53896i −0.0857349 + 0.541309i
\(23\) −5.31348 3.86047i −1.10794 0.804963i −0.125599 0.992081i \(-0.540085\pi\)
−0.982337 + 0.187118i \(0.940085\pi\)
\(24\) 7.66631 + 15.0460i 1.56488 + 3.07125i
\(25\) −2.85326 + 2.07302i −0.570653 + 0.414603i
\(26\) −4.51411 2.30005i −0.885290 0.451078i
\(27\) 3.61432 3.61432i 0.695576 0.695576i
\(28\) −1.04167 6.57687i −0.196858 1.24291i
\(29\) −0.689088 + 1.35241i −0.127961 + 0.251137i −0.946094 0.323891i \(-0.895009\pi\)
0.818134 + 0.575028i \(0.195009\pi\)
\(30\) 5.21120 2.65524i 0.951431 0.484778i
\(31\) −0.515703 + 1.58717i −0.0926230 + 0.285064i −0.986627 0.162995i \(-0.947885\pi\)
0.894004 + 0.448059i \(0.147885\pi\)
\(32\) 22.6839i 4.00999i
\(33\) 1.56985 + 0.510076i 0.273276 + 0.0887928i
\(34\) 6.11308 + 0.968216i 1.04838 + 0.166048i
\(35\) −1.45024 + 0.229695i −0.245135 + 0.0388255i
\(36\) 0.493049 0.160201i 0.0821748 0.0267002i
\(37\) 1.97146 + 6.06752i 0.324105 + 0.997494i 0.971843 + 0.235630i \(0.0757154\pi\)
−0.647737 + 0.761864i \(0.724285\pi\)
\(38\) 10.1039 + 10.1039i 1.63906 + 1.63906i
\(39\) −1.91217 + 2.63187i −0.306192 + 0.421437i
\(40\) −11.6518 −1.84231
\(41\) 4.89143 + 4.13206i 0.763913 + 0.645319i
\(42\) −5.82938 −0.899493
\(43\) 0.714124 0.982908i 0.108903 0.149892i −0.751087 0.660204i \(-0.770470\pi\)
0.859990 + 0.510312i \(0.170470\pi\)
\(44\) −3.65235 3.65235i −0.550612 0.550612i
\(45\) −0.0353253 0.108720i −0.00526598 0.0162070i
\(46\) 17.1114 5.55982i 2.52293 0.819750i
\(47\) −5.36365 + 0.849519i −0.782369 + 0.123915i −0.534826 0.844962i \(-0.679623\pi\)
−0.247542 + 0.968877i \(0.579623\pi\)
\(48\) −26.5633 4.20721i −3.83408 0.607258i
\(49\) −5.26555 1.71088i −0.752222 0.244412i
\(50\) 9.66143i 1.36633i
\(51\) 1.22811 3.77974i 0.171970 0.529270i
\(52\) 9.07032 4.62156i 1.25783 0.640895i
\(53\) −4.56121 + 8.95188i −0.626530 + 1.22963i 0.331632 + 0.943409i \(0.392401\pi\)
−0.958162 + 0.286226i \(0.907599\pi\)
\(54\) 2.19044 + 13.8299i 0.298081 + 1.88201i
\(55\) −0.805362 + 0.805362i −0.108595 + 0.108595i
\(56\) 10.3476 + 5.27237i 1.38276 + 0.704550i
\(57\) 7.42295 5.39309i 0.983193 0.714332i
\(58\) −1.88770 3.70481i −0.247867 0.486466i
\(59\) −6.23053 4.52674i −0.811146 0.589332i 0.103017 0.994680i \(-0.467150\pi\)
−0.914163 + 0.405348i \(0.867150\pi\)
\(60\) −1.83840 + 11.6072i −0.237336 + 1.49848i
\(61\) 0.982392 + 1.35215i 0.125782 + 0.173125i 0.867264 0.497849i \(-0.165876\pi\)
−0.741481 + 0.670973i \(0.765876\pi\)
\(62\) −2.68716 3.69855i −0.341269 0.469717i
\(63\) −0.0178238 + 0.112535i −0.00224559 + 0.0141781i
\(64\) 25.5342 + 18.5517i 3.19177 + 2.31896i
\(65\) −1.01908 2.00005i −0.126401 0.248076i
\(66\) −3.65820 + 2.65784i −0.450293 + 0.327157i
\(67\) 13.1161 + 6.68301i 1.60239 + 0.816460i 0.999831 + 0.0183870i \(0.00585310\pi\)
0.602561 + 0.798073i \(0.294147\pi\)
\(68\) −8.79377 + 8.79377i −1.06640 + 1.06640i
\(69\) −1.80728 11.4107i −0.217571 1.37369i
\(70\) 1.82609 3.58391i 0.218260 0.428359i
\(71\) 2.77828 1.41561i 0.329722 0.168001i −0.281291 0.959623i \(-0.590763\pi\)
0.611012 + 0.791621i \(0.290763\pi\)
\(72\) −0.279399 + 0.859903i −0.0329275 + 0.101340i
\(73\) 0.596826i 0.0698532i −0.999390 0.0349266i \(-0.988880\pi\)
0.999390 0.0349266i \(-0.0111197\pi\)
\(74\) −16.6214 5.40063i −1.93220 0.627810i
\(75\) −6.12741 0.970487i −0.707533 0.112062i
\(76\) −28.3578 + 4.49144i −3.25287 + 0.515203i
\(77\) 1.07964 0.350796i 0.123036 0.0399769i
\(78\) −2.75389 8.47560i −0.311817 0.959673i
\(79\) −5.89711 5.89711i −0.663477 0.663477i 0.292721 0.956198i \(-0.405439\pi\)
−0.956198 + 0.292721i \(0.905439\pi\)
\(80\) 10.9077 15.0132i 1.21952 1.67853i
\(81\) 9.27368 1.03041
\(82\) −17.0337 + 4.18715i −1.88106 + 0.462394i
\(83\) 11.1844 1.22765 0.613823 0.789443i \(-0.289631\pi\)
0.613823 + 0.789443i \(0.289631\pi\)
\(84\) 6.88480 9.47611i 0.751193 1.03393i
\(85\) 1.93908 + 1.93908i 0.210322 + 0.210322i
\(86\) 1.02848 + 3.16533i 0.110903 + 0.341326i
\(87\) −2.53926 + 0.825056i −0.272238 + 0.0884553i
\(88\) 8.89746 1.40922i 0.948473 0.150223i
\(89\) 6.08909 + 0.964418i 0.645443 + 0.102228i 0.470570 0.882363i \(-0.344048\pi\)
0.174873 + 0.984591i \(0.444048\pi\)
\(90\) 0.297829 + 0.0967704i 0.0313939 + 0.0102005i
\(91\) 2.23731i 0.234534i
\(92\) −11.1715 + 34.3823i −1.16471 + 3.58460i
\(93\) −2.61560 + 1.33271i −0.271225 + 0.138196i
\(94\) 6.75374 13.2550i 0.696595 1.36714i
\(95\) 0.990387 + 6.25306i 0.101612 + 0.641550i
\(96\) 28.2148 28.2148i 2.87966 2.87966i
\(97\) −15.0243 7.65525i −1.52548 0.777273i −0.528074 0.849198i \(-0.677086\pi\)
−0.997410 + 0.0719256i \(0.977086\pi\)
\(98\) 12.2702 8.91483i 1.23948 0.900534i
\(99\) 0.0401238 + 0.0787475i 0.00403260 + 0.00791442i
\(100\) 15.7054 + 11.4106i 1.57054 + 1.14106i
\(101\) 1.46960 9.27866i 0.146230 0.923262i −0.800055 0.599927i \(-0.795196\pi\)
0.946285 0.323334i \(-0.104804\pi\)
\(102\) 6.39929 + 8.80787i 0.633624 + 0.872109i
\(103\) 6.15464 + 8.47113i 0.606435 + 0.834686i 0.996278 0.0861955i \(-0.0274710\pi\)
−0.389844 + 0.920881i \(0.627471\pi\)
\(104\) −2.77737 + 17.5356i −0.272343 + 1.71951i
\(105\) −2.08953 1.51814i −0.203918 0.148155i
\(106\) −12.4950 24.5229i −1.21362 2.38187i
\(107\) 4.04469 2.93864i 0.391014 0.284089i −0.374857 0.927083i \(-0.622308\pi\)
0.765871 + 0.642994i \(0.222308\pi\)
\(108\) −25.0686 12.7731i −2.41222 1.22909i
\(109\) −5.70768 + 5.70768i −0.546697 + 0.546697i −0.925484 0.378787i \(-0.876341\pi\)
0.378787 + 0.925484i \(0.376341\pi\)
\(110\) −0.488085 3.08165i −0.0465371 0.293824i
\(111\) −5.09477 + 9.99905i −0.483574 + 0.949068i
\(112\) −16.4802 + 8.39706i −1.55723 + 0.793448i
\(113\) 0.593004 1.82508i 0.0557851 0.171689i −0.919282 0.393600i \(-0.871229\pi\)
0.975067 + 0.221911i \(0.0712295\pi\)
\(114\) 25.1348i 2.35409i
\(115\) 7.58148 + 2.46337i 0.706977 + 0.229711i
\(116\) 8.25193 + 1.30698i 0.766173 + 0.121350i
\(117\) −0.172040 + 0.0272485i −0.0159051 + 0.00251913i
\(118\) 20.0646 6.51939i 1.84710 0.600158i
\(119\) −0.844612 2.59945i −0.0774255 0.238291i
\(120\) −14.4928 14.4928i −1.32300 1.32300i
\(121\) −5.94806 + 8.18680i −0.540733 + 0.744254i
\(122\) −4.57850 −0.414518
\(123\) 0.944523 + 11.2236i 0.0851648 + 1.01200i
\(124\) 9.18597 0.824924
\(125\) 6.08321 8.37282i 0.544099 0.748888i
\(126\) −0.220704 0.220704i −0.0196619 0.0196619i
\(127\) 1.11004 + 3.41634i 0.0984997 + 0.303151i 0.988150 0.153492i \(-0.0490518\pi\)
−0.889650 + 0.456643i \(0.849052\pi\)
\(128\) −39.0820 + 12.6985i −3.45439 + 1.12240i
\(129\) 2.11080 0.334319i 0.185846 0.0294351i
\(130\) 6.07348 + 0.961945i 0.532680 + 0.0843682i
\(131\) 7.54778 + 2.45242i 0.659453 + 0.214269i 0.619578 0.784935i \(-0.287304\pi\)
0.0398754 + 0.999205i \(0.487304\pi\)
\(132\) 9.08573i 0.790812i
\(133\) 1.94994 6.00128i 0.169081 0.520377i
\(134\) −35.9305 + 18.3075i −3.10392 + 1.58153i
\(135\) −2.81653 + 5.52776i −0.242408 + 0.475753i
\(136\) −3.39299 21.4225i −0.290946 1.83696i
\(137\) −5.27127 + 5.27127i −0.450355 + 0.450355i −0.895472 0.445117i \(-0.853162\pi\)
0.445117 + 0.895472i \(0.353162\pi\)
\(138\) 28.1989 + 14.3681i 2.40045 + 1.22309i
\(139\) −1.71214 + 1.24394i −0.145221 + 0.105510i −0.658024 0.752997i \(-0.728607\pi\)
0.512802 + 0.858507i \(0.328607\pi\)
\(140\) 3.66921 + 7.20124i 0.310105 + 0.608616i
\(141\) −7.72807 5.61477i −0.650821 0.472849i
\(142\) −1.33624 + 8.43670i −0.112135 + 0.707992i
\(143\) 1.02008 + 1.40401i 0.0853030 + 0.117409i
\(144\) −0.846415 1.16499i −0.0705346 0.0970825i
\(145\) 0.288196 1.81960i 0.0239333 0.151109i
\(146\) 1.32270 + 0.961000i 0.109468 + 0.0795329i
\(147\) −4.42137 8.67744i −0.364669 0.715703i
\(148\) 28.4099 20.6410i 2.33528 1.69668i
\(149\) 7.89085 + 4.02059i 0.646444 + 0.329379i 0.746288 0.665624i \(-0.231834\pi\)
−0.0998440 + 0.995003i \(0.531834\pi\)
\(150\) 12.0171 12.0171i 0.981191 0.981191i
\(151\) −0.837422 5.28728i −0.0681485 0.430272i −0.998048 0.0624578i \(-0.980106\pi\)
0.929899 0.367815i \(-0.119894\pi\)
\(152\) 22.7331 44.6163i 1.84390 3.61886i
\(153\) 0.189601 0.0966064i 0.0153283 0.00781016i
\(154\) −0.960973 + 2.95757i −0.0774374 + 0.238328i
\(155\) 2.02556i 0.162697i
\(156\) 17.0302 + 5.53346i 1.36351 + 0.443032i
\(157\) −8.26051 1.30834i −0.659260 0.104417i −0.182165 0.983268i \(-0.558310\pi\)
−0.477095 + 0.878851i \(0.658310\pi\)
\(158\) 22.5648 3.57391i 1.79516 0.284325i
\(159\) −16.8079 + 5.46121i −1.33295 + 0.433102i
\(160\) 8.50800 + 26.1849i 0.672617 + 2.07010i
\(161\) −5.61821 5.61821i −0.442777 0.442777i
\(162\) −14.9323 + 20.5526i −1.17320 + 1.61477i
\(163\) −0.165656 −0.0129752 −0.00648760 0.999979i \(-0.502065\pi\)
−0.00648760 + 0.999979i \(0.502065\pi\)
\(164\) 13.3111 32.6349i 1.03943 2.54835i
\(165\) −2.00345 −0.155969
\(166\) −18.0089 + 24.7872i −1.39776 + 1.92386i
\(167\) 4.32550 + 4.32550i 0.334717 + 0.334717i 0.854375 0.519657i \(-0.173940\pi\)
−0.519657 + 0.854375i \(0.673940\pi\)
\(168\) 6.31269 + 19.4285i 0.487034 + 1.49894i
\(169\) 9.11081 2.96028i 0.700831 0.227714i
\(170\) −7.41971 + 1.17517i −0.569065 + 0.0901311i
\(171\) 0.485224 + 0.0768519i 0.0371060 + 0.00587701i
\(172\) −6.36017 2.06654i −0.484959 0.157573i
\(173\) 19.1289i 1.45434i −0.686456 0.727171i \(-0.740835\pi\)
0.686456 0.727171i \(-0.259165\pi\)
\(174\) 2.26017 6.95608i 0.171343 0.527339i
\(175\) −3.80152 + 1.93697i −0.287368 + 0.146421i
\(176\) −6.51350 + 12.7835i −0.490974 + 0.963590i
\(177\) −2.11920 13.3801i −0.159289 1.00571i
\(178\) −11.9419 + 11.9419i −0.895086 + 0.895086i
\(179\) −11.6175 5.91943i −0.868335 0.442439i −0.0377216 0.999288i \(-0.512010\pi\)
−0.830613 + 0.556850i \(0.812010\pi\)
\(180\) −0.509059 + 0.369853i −0.0379430 + 0.0275672i
\(181\) −5.39400 10.5863i −0.400933 0.786875i 0.598971 0.800771i \(-0.295577\pi\)
−0.999903 + 0.0138960i \(0.995577\pi\)
\(182\) −4.95839 3.60248i −0.367541 0.267034i
\(183\) −0.459909 + 2.90375i −0.0339974 + 0.214651i
\(184\) −37.0601 51.0088i −2.73211 3.76042i
\(185\) −4.55145 6.26454i −0.334630 0.460578i
\(186\) 1.25800 7.94269i 0.0922409 0.582386i
\(187\) −1.71522 1.24618i −0.125429 0.0911298i
\(188\) 13.5705 + 26.6335i 0.989728 + 1.94245i
\(189\) 5.00254 3.63456i 0.363882 0.264375i
\(190\) −15.4529 7.87365i −1.12107 0.571215i
\(191\) −0.305210 + 0.305210i −0.0220842 + 0.0220842i −0.718063 0.695978i \(-0.754971\pi\)
0.695978 + 0.718063i \(0.254971\pi\)
\(192\) 8.68499 + 54.8349i 0.626785 + 3.95737i
\(193\) −9.62661 + 18.8933i −0.692938 + 1.35997i 0.229304 + 0.973355i \(0.426355\pi\)
−0.922242 + 0.386613i \(0.873645\pi\)
\(194\) 41.1576 20.9709i 2.95495 1.50562i
\(195\) 1.22016 3.75526i 0.0873774 0.268920i
\(196\) 30.4751i 2.17679i
\(197\) 22.2882 + 7.24188i 1.58797 + 0.515963i 0.964094 0.265561i \(-0.0855572\pi\)
0.623876 + 0.781524i \(0.285557\pi\)
\(198\) −0.239129 0.0378744i −0.0169942 0.00269161i
\(199\) 5.20701 0.824709i 0.369115 0.0584621i 0.0308784 0.999523i \(-0.490170\pi\)
0.338237 + 0.941061i \(0.390170\pi\)
\(200\) −32.2001 + 10.4624i −2.27689 + 0.739807i
\(201\) 8.00167 + 24.6266i 0.564394 + 1.73703i
\(202\) 18.1973 + 18.1973i 1.28036 + 1.28036i
\(203\) −1.07929 + 1.48552i −0.0757515 + 0.104263i
\(204\) −21.8758 −1.53161
\(205\) −7.19617 2.93518i −0.502602 0.205002i
\(206\) −28.6841 −1.99851
\(207\) 0.363593 0.500443i 0.0252715 0.0347832i
\(208\) −19.9944 19.9944i −1.38636 1.38636i
\(209\) −1.51254 4.65513i −0.104625 0.322002i
\(210\) 6.72907 2.18641i 0.464350 0.150877i
\(211\) 21.8950 3.46783i 1.50731 0.238735i 0.652547 0.757748i \(-0.273701\pi\)
0.854766 + 0.519013i \(0.173701\pi\)
\(212\) 54.6211 + 8.65113i 3.75139 + 0.594162i
\(213\) 5.21645 + 1.69493i 0.357425 + 0.116134i
\(214\) 13.6957i 0.936219i
\(215\) −0.455684 + 1.40245i −0.0310774 + 0.0956465i
\(216\) 43.7209 22.2769i 2.97483 1.51575i
\(217\) −0.916550 + 1.79883i −0.0622195 + 0.122113i
\(218\) −3.45911 21.8400i −0.234280 1.47919i
\(219\) 0.742345 0.742345i 0.0501630 0.0501630i
\(220\) 5.58592 + 2.84617i 0.376603 + 0.191889i
\(221\) 3.38045 2.45604i 0.227394 0.165211i
\(222\) −13.9567 27.3915i −0.936710 1.83840i
\(223\) −19.1614 13.9216i −1.28314 0.932258i −0.283500 0.958972i \(-0.591496\pi\)
−0.999643 + 0.0267138i \(0.991496\pi\)
\(224\) 4.29282 27.1038i 0.286826 1.81095i
\(225\) −0.195245 0.268731i −0.0130163 0.0179154i
\(226\) 3.08995 + 4.25295i 0.205540 + 0.282902i
\(227\) −2.24211 + 14.1561i −0.148814 + 0.939575i 0.794401 + 0.607393i \(0.207785\pi\)
−0.943215 + 0.332182i \(0.892215\pi\)
\(228\) −40.8586 29.6855i −2.70593 1.96597i
\(229\) 9.37117 + 18.3920i 0.619264 + 1.21537i 0.961252 + 0.275670i \(0.0888997\pi\)
−0.341988 + 0.939704i \(0.611100\pi\)
\(230\) −17.6670 + 12.8358i −1.16493 + 0.846369i
\(231\) 1.77920 + 0.906549i 0.117063 + 0.0596466i
\(232\) −10.3034 + 10.3034i −0.676450 + 0.676450i
\(233\) 2.82151 + 17.8143i 0.184843 + 1.16705i 0.889306 + 0.457313i \(0.151188\pi\)
−0.704462 + 0.709741i \(0.748812\pi\)
\(234\) 0.216628 0.425156i 0.0141614 0.0277933i
\(235\) 5.87284 2.99236i 0.383102 0.195200i
\(236\) −13.0996 + 40.3163i −0.852709 + 2.62437i
\(237\) 14.6699i 0.952913i
\(238\) 7.12096 + 2.31374i 0.461583 + 0.149977i
\(239\) −22.4231 3.55147i −1.45043 0.229725i −0.619015 0.785379i \(-0.712468\pi\)
−0.831414 + 0.555653i \(0.812468\pi\)
\(240\) 32.2410 5.10647i 2.08115 0.329621i
\(241\) −2.97068 + 0.965234i −0.191359 + 0.0621762i −0.403129 0.915143i \(-0.632077\pi\)
0.211770 + 0.977320i \(0.432077\pi\)
\(242\) −8.56635 26.3645i −0.550666 1.69478i
\(243\) 0.691854 + 0.691854i 0.0443824 + 0.0443824i
\(244\) 5.40745 7.44271i 0.346176 0.476471i
\(245\) 6.71992 0.429320
\(246\) −26.3949 15.9788i −1.68288 1.01877i
\(247\) 9.64672 0.613806
\(248\) −9.41679 + 12.9611i −0.597967 + 0.823030i
\(249\) 13.9114 + 13.9114i 0.881598 + 0.881598i
\(250\) 8.76100 + 26.9636i 0.554094 + 1.70533i
\(251\) 6.26375 2.03521i 0.395364 0.128462i −0.104586 0.994516i \(-0.533352\pi\)
0.499950 + 0.866054i \(0.333352\pi\)
\(252\) 0.619435 0.0981089i 0.0390207 0.00618028i
\(253\) −6.08724 0.964124i −0.382702 0.0606140i
\(254\) −9.35875 3.04084i −0.587220 0.190799i
\(255\) 4.82373i 0.302074i
\(256\) 15.2801 47.0273i 0.955005 2.93920i
\(257\) −6.08184 + 3.09885i −0.379375 + 0.193301i −0.633270 0.773931i \(-0.718288\pi\)
0.253896 + 0.967232i \(0.418288\pi\)
\(258\) −2.65786 + 5.21634i −0.165471 + 0.324755i
\(259\) 1.20734 + 7.62284i 0.0750204 + 0.473660i
\(260\) −8.73682 + 8.73682i −0.541834 + 0.541834i
\(261\) −0.127375 0.0649010i −0.00788433 0.00401727i
\(262\) −17.5885 + 12.7788i −1.08662 + 0.789475i
\(263\) 5.84108 + 11.4638i 0.360177 + 0.706887i 0.997995 0.0633007i \(-0.0201627\pi\)
−0.637818 + 0.770187i \(0.720163\pi\)
\(264\) 12.8197 + 9.31404i 0.788996 + 0.573239i
\(265\) 1.90762 12.0443i 0.117184 0.739873i
\(266\) 10.1605 + 13.9847i 0.622978 + 0.857456i
\(267\) 6.37418 + 8.77331i 0.390094 + 0.536918i
\(268\) 12.6755 80.0300i 0.774280 4.88861i
\(269\) 13.0297 + 9.46664i 0.794435 + 0.577191i 0.909276 0.416193i \(-0.136636\pi\)
−0.114841 + 0.993384i \(0.536636\pi\)
\(270\) −7.71564 15.1428i −0.469559 0.921561i
\(271\) 16.7793 12.1909i 1.01927 0.740544i 0.0531382 0.998587i \(-0.483078\pi\)
0.966133 + 0.258043i \(0.0830776\pi\)
\(272\) 30.7788 + 15.6826i 1.86624 + 0.950897i
\(273\) −2.78281 + 2.78281i −0.168424 + 0.168424i
\(274\) −3.19463 20.1701i −0.192994 1.21852i
\(275\) −1.50249 + 2.94880i −0.0906033 + 0.177819i
\(276\) −56.6608 + 28.8701i −3.41058 + 1.73778i
\(277\) 1.50210 4.62298i 0.0902524 0.277768i −0.895735 0.444588i \(-0.853350\pi\)
0.985987 + 0.166820i \(0.0533499\pi\)
\(278\) 5.79746i 0.347708i
\(279\) −0.149486 0.0485709i −0.00894948 0.00290786i
\(280\) −13.9221 2.20505i −0.832006 0.131777i
\(281\) 5.74924 0.910591i 0.342971 0.0543213i 0.0174270 0.999848i \(-0.494453\pi\)
0.325544 + 0.945527i \(0.394453\pi\)
\(282\) 24.8873 8.08636i 1.48201 0.481536i
\(283\) −4.46953 13.7558i −0.265686 0.817697i −0.991535 0.129843i \(-0.958553\pi\)
0.725849 0.687854i \(-0.241447\pi\)
\(284\) −12.1363 12.1363i −0.720160 0.720160i
\(285\) −6.54582 + 9.00955i −0.387741 + 0.533680i
\(286\) −4.75413 −0.281117
\(287\) 5.06254 + 5.86285i 0.298832 + 0.346073i
\(288\) 2.13646 0.125892
\(289\) 6.99191 9.62354i 0.411289 0.566091i
\(290\) 3.56859 + 3.56859i 0.209555 + 0.209555i
\(291\) −9.16575 28.2093i −0.537306 1.65366i
\(292\) −3.12436 + 1.01517i −0.182839 + 0.0594081i
\(293\) −19.4615 + 3.08239i −1.13695 + 0.180075i −0.696401 0.717653i \(-0.745216\pi\)
−0.440550 + 0.897728i \(0.645216\pi\)
\(294\) 26.3504 + 4.17350i 1.53679 + 0.243403i
\(295\) 8.88997 + 2.88853i 0.517594 + 0.168177i
\(296\) 61.2451i 3.55980i
\(297\) 1.48219 4.56170i 0.0860052 0.264697i
\(298\) −21.6163 + 11.0140i −1.25220 + 0.638026i
\(299\) 5.51445 10.8227i 0.318909 0.625893i
\(300\) 5.34192 + 33.7275i 0.308416 + 1.94726i
\(301\) 1.03928 1.03928i 0.0599031 0.0599031i
\(302\) 13.0662 + 6.65757i 0.751877 + 0.383100i
\(303\) 13.3689 9.71309i 0.768024 0.558002i
\(304\) 36.2060 + 71.0583i 2.07656 + 4.07547i
\(305\) −1.64116 1.19237i −0.0939725 0.0682750i
\(306\) −0.0911903 + 0.575753i −0.00521300 + 0.0329136i
\(307\) 5.79055 + 7.97001i 0.330484 + 0.454872i 0.941632 0.336644i \(-0.109292\pi\)
−0.611148 + 0.791516i \(0.709292\pi\)
\(308\) −3.67280 5.05518i −0.209277 0.288046i
\(309\) −2.88131 + 18.1918i −0.163912 + 1.03490i
\(310\) 4.48910 + 3.26152i 0.254963 + 0.185242i
\(311\) −11.5241 22.6173i −0.653472 1.28251i −0.945351 0.326056i \(-0.894280\pi\)
0.291879 0.956455i \(-0.405720\pi\)
\(312\) −25.2657 + 18.3566i −1.43039 + 1.03924i
\(313\) −23.3678 11.9065i −1.32083 0.672995i −0.355656 0.934617i \(-0.615743\pi\)
−0.965170 + 0.261622i \(0.915743\pi\)
\(314\) 16.2005 16.2005i 0.914248 0.914248i
\(315\) −0.0216335 0.136589i −0.00121891 0.00769591i
\(316\) −20.8405 + 40.9018i −1.17237 + 2.30091i
\(317\) −18.5064 + 9.42948i −1.03942 + 0.529612i −0.888473 0.458929i \(-0.848233\pi\)
−0.150950 + 0.988541i \(0.548233\pi\)
\(318\) 14.9605 46.0436i 0.838942 2.58200i
\(319\) 1.42432i 0.0797466i
\(320\) −36.4332 11.8379i −2.03668 0.661756i
\(321\) 8.68601 + 1.37573i 0.484806 + 0.0767857i
\(322\) 21.4976 3.40489i 1.19801 0.189747i
\(323\) −11.2082 + 3.64176i −0.623640 + 0.202633i
\(324\) −15.7740 48.5474i −0.876334 2.69708i
\(325\) −4.61215 4.61215i −0.255836 0.255836i
\(326\) 0.266737 0.367132i 0.0147732 0.0203336i
\(327\) −14.1987 −0.785188
\(328\) 32.4011 + 52.2365i 1.78905 + 2.88428i
\(329\) −6.56951 −0.362189
\(330\) 3.22593 4.44011i 0.177582 0.244420i
\(331\) −4.50312 4.50312i −0.247514 0.247514i 0.572436 0.819949i \(-0.305999\pi\)
−0.819949 + 0.572436i \(0.805999\pi\)
\(332\) −19.0240 58.5499i −1.04408 3.21334i
\(333\) −0.571462 + 0.185679i −0.0313159 + 0.0101752i
\(334\) −16.5512 + 2.62145i −0.905639 + 0.143439i
\(335\) −17.6470 2.79502i −0.964161 0.152708i
\(336\) −30.9428 10.0539i −1.68807 0.548487i
\(337\) 11.0639i 0.602688i −0.953515 0.301344i \(-0.902565\pi\)
0.953515 0.301344i \(-0.0974353\pi\)
\(338\) −8.10942 + 24.9582i −0.441094 + 1.35755i
\(339\) 3.00766 1.53248i 0.163354 0.0832329i
\(340\) 6.85273 13.4492i 0.371642 0.729388i
\(341\) 0.244979 + 1.54674i 0.0132664 + 0.0837606i
\(342\) −0.951621 + 0.951621i −0.0514578 + 0.0514578i
\(343\) −13.5130 6.88519i −0.729631 0.371766i
\(344\) 9.43581 6.85552i 0.508745 0.369625i
\(345\) 6.36601 + 12.4940i 0.342735 + 0.672655i
\(346\) 42.3940 + 30.8010i 2.27912 + 1.65587i
\(347\) 0.198212 1.25146i 0.0106406 0.0671819i −0.981797 0.189935i \(-0.939172\pi\)
0.992437 + 0.122753i \(0.0391723\pi\)
\(348\) 8.63828 + 11.8896i 0.463061 + 0.637348i
\(349\) −8.34115 11.4806i −0.446491 0.614543i 0.525148 0.851011i \(-0.324010\pi\)
−0.971639 + 0.236468i \(0.924010\pi\)
\(350\) 1.82838 11.5439i 0.0977309 0.617049i
\(351\) 7.64774 + 5.55641i 0.408206 + 0.296579i
\(352\) −9.66373 18.9661i −0.515078 1.01090i
\(353\) −0.827363 + 0.601115i −0.0440361 + 0.0319941i −0.609586 0.792720i \(-0.708664\pi\)
0.565549 + 0.824714i \(0.308664\pi\)
\(354\) 33.0657 + 16.8478i 1.75742 + 0.895452i
\(355\) −2.67613 + 2.67613i −0.142034 + 0.142034i
\(356\) −5.30851 33.5166i −0.281350 1.77638i
\(357\) 2.18270 4.28380i 0.115521 0.226723i
\(358\) 31.8252 16.2157i 1.68201 0.857028i
\(359\) −3.46550 + 10.6657i −0.182902 + 0.562915i −0.999906 0.0137176i \(-0.995633\pi\)
0.817004 + 0.576632i \(0.195633\pi\)
\(360\) 1.09741i 0.0578387i
\(361\) −7.80596 2.53631i −0.410840 0.133490i
\(362\) 32.1471 + 5.09159i 1.68961 + 0.267608i
\(363\) −17.5812 + 2.78459i −0.922776 + 0.146153i
\(364\) 11.7122 3.80554i 0.613888 0.199464i
\(365\) 0.223850 + 0.688939i 0.0117168 + 0.0360607i
\(366\) −5.69484 5.69484i −0.297674 0.297674i
\(367\) 16.8756 23.2272i 0.880897 1.21245i −0.0952746 0.995451i \(-0.530373\pi\)
0.976172 0.217000i \(-0.0696271\pi\)
\(368\) 100.417 5.23462
\(369\) −0.389173 + 0.460694i −0.0202595 + 0.0239827i
\(370\) 21.2123 1.10278
\(371\) −7.14404 + 9.83293i −0.370900 + 0.510500i
\(372\) 11.4257 + 11.4257i 0.592395 + 0.592395i
\(373\) 10.5118 + 32.3520i 0.544281 + 1.67512i 0.722694 + 0.691168i \(0.242903\pi\)
−0.178414 + 0.983956i \(0.557097\pi\)
\(374\) 5.52365 1.79474i 0.285621 0.0928039i
\(375\) 17.9807 2.84787i 0.928521 0.147063i
\(376\) −51.4905 8.15530i −2.65542 0.420577i
\(377\) −2.66974 0.867450i −0.137498 0.0446760i
\(378\) 16.9391i 0.871253i
\(379\) −2.16181 + 6.65338i −0.111045 + 0.341761i −0.991102 0.133108i \(-0.957504\pi\)
0.880057 + 0.474869i \(0.157504\pi\)
\(380\) 31.0499 15.8207i 1.59283 0.811587i
\(381\) −2.86863 + 5.63000i −0.146964 + 0.288434i
\(382\) −0.184971 1.16786i −0.00946392 0.0597528i
\(383\) 13.4809 13.4809i 0.688840 0.688840i −0.273136 0.961976i \(-0.588061\pi\)
0.961976 + 0.273136i \(0.0880608\pi\)
\(384\) −64.4057 32.8164i −3.28669 1.67465i
\(385\) −1.11470 + 0.809873i −0.0568101 + 0.0412750i
\(386\) −26.3712 51.7564i −1.34226 2.63433i
\(387\) 0.0925740 + 0.0672589i 0.00470580 + 0.00341896i
\(388\) −14.5195 + 91.6727i −0.737117 + 4.65398i
\(389\) 10.7762 + 14.8322i 0.546377 + 0.752024i 0.989515 0.144430i \(-0.0461348\pi\)
−0.443138 + 0.896453i \(0.646135\pi\)
\(390\) 6.35784 + 8.75082i 0.321942 + 0.443115i
\(391\) −2.32133 + 14.6563i −0.117395 + 0.741200i
\(392\) −42.9994 31.2409i −2.17180 1.57790i
\(393\) 6.33772 + 12.4385i 0.319696 + 0.627438i
\(394\) −51.9378 + 37.7350i −2.61659 + 1.90106i
\(395\) 9.01908 + 4.59545i 0.453799 + 0.231222i
\(396\) 0.343992 0.343992i 0.0172862 0.0172862i
\(397\) −1.30237 8.22286i −0.0653642 0.412694i −0.998575 0.0533644i \(-0.983006\pi\)
0.933211 0.359329i \(-0.116994\pi\)
\(398\) −6.55650 + 12.8679i −0.328648 + 0.645008i
\(399\) 9.88990 5.03915i 0.495114 0.252273i
\(400\) 16.6631 51.2837i 0.833153 2.56418i
\(401\) 4.20180i 0.209828i −0.994481 0.104914i \(-0.966543\pi\)
0.994481 0.104914i \(-0.0334567\pi\)
\(402\) −67.4624 21.9199i −3.36472 1.09326i
\(403\) −3.04840 0.482819i −0.151851 0.0240509i
\(404\) −51.0732 + 8.08920i −2.54099 + 0.402453i
\(405\) −10.7050 + 3.47825i −0.531934 + 0.172836i
\(406\) −1.55439 4.78392i −0.0771430 0.237422i
\(407\) 4.23321 + 4.23321i 0.209832 + 0.209832i
\(408\) 22.4255 30.8660i 1.11023 1.52809i
\(409\) 38.6631 1.91177 0.955883 0.293746i \(-0.0949020\pi\)
0.955883 + 0.293746i \(0.0949020\pi\)
\(410\) 18.0922 11.2222i 0.893509 0.554224i
\(411\) −13.1130 −0.646819
\(412\) 33.8774 46.6282i 1.66902 2.29721i
\(413\) −6.58786 6.58786i −0.324167 0.324167i
\(414\) 0.523645 + 1.61161i 0.0257357 + 0.0792064i
\(415\) −12.9106 + 4.19490i −0.633755 + 0.205919i
\(416\) 41.4355 6.56274i 2.03154 0.321765i
\(417\) −3.67683 0.582353i −0.180055 0.0285179i
\(418\) 12.7523 + 4.14347i 0.623735 + 0.202664i
\(419\) 8.92254i 0.435895i −0.975961 0.217947i \(-0.930064\pi\)
0.975961 0.217947i \(-0.0699361\pi\)
\(420\) −4.39321 + 13.5209i −0.214367 + 0.659753i
\(421\) 17.2160 8.77197i 0.839054 0.427520i 0.0190099 0.999819i \(-0.493949\pi\)
0.820045 + 0.572300i \(0.193949\pi\)
\(422\) −27.5695 + 54.1081i −1.34206 + 2.63394i
\(423\) −0.0800109 0.505169i −0.00389026 0.0245622i
\(424\) −68.2001 + 68.2001i −3.31209 + 3.31209i
\(425\) 7.09983 + 3.61754i 0.344392 + 0.175477i
\(426\) −12.1558 + 8.83170i −0.588950 + 0.427897i
\(427\) 0.917921 + 1.80152i 0.0444213 + 0.0871817i
\(428\) −22.2634 16.1753i −1.07614 0.781864i
\(429\) −0.477550 + 3.01513i −0.0230563 + 0.145572i
\(430\) −2.37442 3.26811i −0.114505 0.157602i
\(431\) 11.6004 + 15.9666i 0.558773 + 0.769085i 0.991170 0.132598i \(-0.0423320\pi\)
−0.432397 + 0.901683i \(0.642332\pi\)
\(432\) −12.2254 + 77.1880i −0.588193 + 3.71371i
\(433\) −8.46295 6.14869i −0.406703 0.295487i 0.365562 0.930787i \(-0.380877\pi\)
−0.772266 + 0.635299i \(0.780877\pi\)
\(434\) −2.51081 4.92774i −0.120523 0.236539i
\(435\) 2.62172 1.90479i 0.125702 0.0913276i
\(436\) 39.5880 + 20.1711i 1.89592 + 0.966019i
\(437\) −24.2243 + 24.2243i −1.15881 + 1.15881i
\(438\) 0.449894 + 2.84052i 0.0214968 + 0.135725i
\(439\) 13.6513 26.7922i 0.651540 1.27872i −0.294803 0.955558i \(-0.595254\pi\)
0.946344 0.323162i \(-0.104746\pi\)
\(440\) −9.74213 + 4.96386i −0.464438 + 0.236643i
\(441\) 0.161137 0.495930i 0.00767321 0.0236157i
\(442\) 11.4465i 0.544456i
\(443\) −20.8472 6.77365i −0.990479 0.321826i −0.231424 0.972853i \(-0.574338\pi\)
−0.759055 + 0.651027i \(0.774338\pi\)
\(444\) 61.0106 + 9.66313i 2.89543 + 0.458592i
\(445\) −7.39059 + 1.17056i −0.350348 + 0.0554896i
\(446\) 61.7069 20.0498i 2.92190 0.949384i
\(447\) 4.81391 + 14.8157i 0.227690 + 0.700759i
\(448\) 26.9986 + 26.9986i 1.27556 + 1.27556i
\(449\) −2.93496 + 4.03963i −0.138509 + 0.190642i −0.872637 0.488370i \(-0.837592\pi\)
0.734127 + 0.679012i \(0.237592\pi\)
\(450\) 0.909950 0.0428955
\(451\) 5.85007 + 1.37100i 0.275469 + 0.0645580i
\(452\) −10.5629 −0.496836
\(453\) 5.53482 7.61803i 0.260049 0.357926i
\(454\) −27.7630 27.7630i −1.30298 1.30298i
\(455\) −0.839142 2.58261i −0.0393396 0.121075i
\(456\) 83.7706 27.2187i 3.92292 1.27463i
\(457\) 12.1280 1.92089i 0.567326 0.0898556i 0.133819 0.991006i \(-0.457276\pi\)
0.433507 + 0.901150i \(0.357276\pi\)
\(458\) −55.8501 8.84579i −2.60970 0.413336i
\(459\) −10.9832 3.56867i −0.512654 0.166571i
\(460\) 43.8788i 2.04586i
\(461\) 9.09708 27.9979i 0.423693 1.30399i −0.480547 0.876969i \(-0.659562\pi\)
0.904240 0.427025i \(-0.140438\pi\)
\(462\) −4.87397 + 2.48341i −0.226758 + 0.115539i
\(463\) 8.27308 16.2368i 0.384483 0.754590i −0.614940 0.788574i \(-0.710820\pi\)
0.999422 + 0.0339843i \(0.0108196\pi\)
\(464\) −3.63035 22.9212i −0.168535 1.06409i
\(465\) 2.51943 2.51943i 0.116836 0.116836i
\(466\) −44.0238 22.4312i −2.03936 1.03911i
\(467\) −13.9475 + 10.1335i −0.645414 + 0.468921i −0.861706 0.507408i \(-0.830604\pi\)
0.216292 + 0.976329i \(0.430604\pi\)
\(468\) 0.435276 + 0.854277i 0.0201206 + 0.0394890i
\(469\) 14.4071 + 10.4673i 0.665256 + 0.483337i
\(470\) −2.82460 + 17.8338i −0.130289 + 0.822613i
\(471\) −8.64726 11.9019i −0.398445 0.548412i
\(472\) −43.4563 59.8125i −2.00024 2.75309i
\(473\) 0.178347 1.12604i 0.00820043 0.0517755i
\(474\) 32.5119 + 23.6213i 1.49332 + 1.08496i
\(475\) 8.35174 + 16.3912i 0.383204 + 0.752080i
\(476\) −12.1714 + 8.84303i −0.557875 + 0.405320i
\(477\) −0.843122 0.429592i −0.0386039 0.0196697i
\(478\) 43.9762 43.9762i 2.01142 2.01142i
\(479\) 3.50656 + 22.1396i 0.160219 + 1.01158i 0.928463 + 0.371425i \(0.121131\pi\)
−0.768244 + 0.640157i \(0.778869\pi\)
\(480\) −21.9870 + 43.1518i −1.00356 + 1.96960i
\(481\) −10.5128 + 5.35656i −0.479344 + 0.244238i
\(482\) 2.64417 8.13792i 0.120439 0.370672i
\(483\) 13.9761i 0.635935i
\(484\) 52.9749 + 17.2126i 2.40795 + 0.782391i
\(485\) 20.2143 + 3.20163i 0.917885 + 0.145379i
\(486\) −2.64732 + 0.419294i −0.120085 + 0.0190196i
\(487\) −0.367574 + 0.119432i −0.0166564 + 0.00541198i −0.317333 0.948314i \(-0.602787\pi\)
0.300677 + 0.953726i \(0.402787\pi\)
\(488\) 4.95810 + 15.2595i 0.224443 + 0.690764i
\(489\) −0.206047 0.206047i −0.00931776 0.00931776i
\(490\) −10.8203 + 14.8929i −0.488812 + 0.672792i
\(491\) −26.9030 −1.21411 −0.607057 0.794658i \(-0.707650\pi\)
−0.607057 + 0.794658i \(0.707650\pi\)
\(492\) 57.1486 24.0353i 2.57646 1.08359i
\(493\) 3.42934 0.154450
\(494\) −15.5330 + 21.3793i −0.698863 + 0.961902i
\(495\) −0.0758521 0.0758521i −0.00340930 0.00340930i
\(496\) −7.88475 24.2668i −0.354036 1.08961i
\(497\) 3.58752 1.16566i 0.160922 0.0522868i
\(498\) −53.2307 + 8.43092i −2.38533 + 0.377799i
\(499\) −9.04346 1.43234i −0.404841 0.0641205i −0.0493065 0.998784i \(-0.515701\pi\)
−0.355534 + 0.934663i \(0.615701\pi\)
\(500\) −54.1786 17.6037i −2.42294 0.787262i
\(501\) 10.7603i 0.480735i
\(502\) −5.57529 + 17.1590i −0.248837 + 0.765842i
\(503\) 8.04239 4.09780i 0.358592 0.182712i −0.265408 0.964136i \(-0.585507\pi\)
0.624000 + 0.781424i \(0.285507\pi\)
\(504\) −0.496572 + 0.974577i −0.0221191 + 0.0434111i
\(505\) 1.78371 + 11.2619i 0.0793741 + 0.501149i
\(506\) 11.9383 11.9383i 0.530722 0.530722i
\(507\) 15.0143 + 7.65016i 0.666807 + 0.339755i
\(508\) 15.9963 11.6220i 0.709721 0.515643i
\(509\) 5.82573 + 11.4336i 0.258221 + 0.506787i 0.983326 0.181851i \(-0.0582088\pi\)
−0.725105 + 0.688638i \(0.758209\pi\)
\(510\) −10.6905 7.76709i −0.473383 0.343933i
\(511\) 0.112946 0.713115i 0.00499645 0.0315463i
\(512\) 31.3114 + 43.0965i 1.38378 + 1.90461i
\(513\) −15.6713 21.5697i −0.691906 0.952326i
\(514\) 2.92512 18.4685i 0.129021 0.814609i
\(515\) −10.2818 7.47015i −0.453069 0.329174i
\(516\) −5.34050 10.4813i −0.235103 0.461415i
\(517\) −4.12266 + 2.99529i −0.181314 + 0.131733i
\(518\) −18.8380 9.59844i −0.827694 0.421731i
\(519\) 23.7929 23.7929i 1.04439 1.04439i
\(520\) −3.37101 21.2837i −0.147829 0.933353i
\(521\) 17.5110 34.3672i 0.767169 1.50565i −0.0930117 0.995665i \(-0.529649\pi\)
0.860181 0.509989i \(-0.170351\pi\)
\(522\) 0.348933 0.177790i 0.0152724 0.00778167i
\(523\) −5.49317 + 16.9063i −0.240200 + 0.739259i 0.756189 + 0.654353i \(0.227059\pi\)
−0.996389 + 0.0849058i \(0.972941\pi\)
\(524\) 43.6838i 1.90834i
\(525\) −7.13766 2.31917i −0.311513 0.101217i
\(526\) −34.8116 5.51361i −1.51786 0.240405i
\(527\) 3.72409 0.589838i 0.162224 0.0256937i
\(528\) −24.0020 + 7.79872i −1.04455 + 0.339396i
\(529\) 6.22243 + 19.1507i 0.270541 + 0.832638i
\(530\) 23.6212 + 23.6212i 1.02604 + 1.02604i
\(531\) 0.426346 0.586815i 0.0185018 0.0254656i
\(532\) −34.7332 −1.50588
\(533\) −6.13265 + 10.1304i −0.265635 + 0.438795i
\(534\) −29.7073 −1.28556
\(535\) −3.56675 + 4.90921i −0.154204 + 0.212244i
\(536\) 99.9257 + 99.9257i 4.31613 + 4.31613i
\(537\) −7.08742 21.8128i −0.305845 0.941294i
\(538\) −41.9605 + 13.6338i −1.80904 + 0.587794i
\(539\) −5.13141 + 0.812736i −0.221026 + 0.0350070i
\(540\) 33.7284 + 5.34205i 1.45144 + 0.229885i
\(541\) −23.9953 7.79656i −1.03164 0.335200i −0.256202 0.966623i \(-0.582471\pi\)
−0.775439 + 0.631423i \(0.782471\pi\)
\(542\) 56.8164i 2.44047i
\(543\) 6.45832 19.8767i 0.277153 0.852989i
\(544\) −45.6649 + 23.2674i −1.95787 + 0.997582i
\(545\) 4.44783 8.72936i 0.190524 0.373925i
\(546\) −1.68651 10.6482i −0.0721759 0.455701i
\(547\) 2.04384 2.04384i 0.0873882 0.0873882i −0.662061 0.749450i \(-0.730318\pi\)
0.749450 + 0.662061i \(0.230318\pi\)
\(548\) 36.5611 + 18.6288i 1.56181 + 0.795783i
\(549\) −0.127350 + 0.0925254i −0.00543518 + 0.00394889i
\(550\) −4.11593 8.07796i −0.175504 0.344445i
\(551\) 6.40518 + 4.65364i 0.272870 + 0.198252i
\(552\) 17.3497 109.542i 0.738454 4.66242i
\(553\) −5.93014 8.16214i −0.252175 0.347090i
\(554\) 7.82694 + 10.7729i 0.332535 + 0.457695i
\(555\) 2.13077 13.4532i 0.0904462 0.571055i
\(556\) 9.42423 + 6.84710i 0.399676 + 0.290382i
\(557\) 2.79864 + 5.49264i 0.118582 + 0.232731i 0.942666 0.333737i \(-0.108310\pi\)
−0.824084 + 0.566468i \(0.808310\pi\)
\(558\) 0.348344 0.253087i 0.0147466 0.0107140i
\(559\) 2.00203 + 1.02008i 0.0846767 + 0.0431450i
\(560\) 15.8742 15.8742i 0.670808 0.670808i
\(561\) −0.583402 3.68346i −0.0246313 0.155516i
\(562\) −7.23927 + 14.2079i −0.305370 + 0.599323i
\(563\) −26.9664 + 13.7401i −1.13650 + 0.579075i −0.917928 0.396746i \(-0.870139\pi\)
−0.218570 + 0.975821i \(0.570139\pi\)
\(564\) −16.2481 + 50.0066i −0.684170 + 2.10566i
\(565\) 2.32917i 0.0979891i
\(566\) 37.6828 + 12.2439i 1.58392 + 0.514648i
\(567\) 11.0806 + 1.75500i 0.465342 + 0.0737030i
\(568\) 29.5653 4.68268i 1.24053 0.196481i
\(569\) 19.3960 6.30213i 0.813121 0.264199i 0.127202 0.991877i \(-0.459400\pi\)
0.685919 + 0.727678i \(0.259400\pi\)
\(570\) −9.42725 29.0141i −0.394864 1.21527i
\(571\) 20.9716 + 20.9716i 0.877633 + 0.877633i 0.993289 0.115656i \(-0.0368971\pi\)
−0.115656 + 0.993289i \(0.536897\pi\)
\(572\) 5.61487 7.72821i 0.234770 0.323133i
\(573\) −0.759253 −0.0317182
\(574\) −21.1450 + 1.77946i −0.882577 + 0.0742733i
\(575\) 23.1636 0.965987
\(576\) −1.74727 + 2.40490i −0.0728027 + 0.100204i
\(577\) −22.9911 22.9911i −0.957132 0.957132i 0.0419858 0.999118i \(-0.486632\pi\)
−0.999118 + 0.0419858i \(0.986632\pi\)
\(578\) 10.0697 + 30.9914i 0.418844 + 1.28907i
\(579\) −35.4736 + 11.5261i −1.47423 + 0.479008i
\(580\) −10.0157 + 1.58633i −0.415880 + 0.0658690i
\(581\) 13.3636 + 2.11659i 0.554417 + 0.0878110i
\(582\) 77.2768 + 25.1087i 3.20323 + 1.04079i
\(583\) 9.42785i 0.390462i
\(584\) 1.77050 5.44905i 0.0732639 0.225483i
\(585\) 0.188373 0.0959807i 0.00778825 0.00396831i
\(586\) 24.5053 48.0943i 1.01230 1.98676i
\(587\) 3.81641 + 24.0959i 0.157520 + 0.994543i 0.932135 + 0.362110i \(0.117944\pi\)
−0.774615 + 0.632433i \(0.782056\pi\)
\(588\) −37.9056 + 37.9056i −1.56320 + 1.56320i
\(589\) 7.75611 + 3.95194i 0.319585 + 0.162837i
\(590\) −20.7161 + 15.0512i −0.852870 + 0.619646i
\(591\) 18.7150 + 36.7302i 0.769830 + 1.51088i
\(592\) −78.9134 57.3340i −3.24332 2.35641i
\(593\) 2.72495 17.2047i 0.111900 0.706512i −0.866405 0.499342i \(-0.833575\pi\)
0.978305 0.207169i \(-0.0664250\pi\)
\(594\) 7.72319 + 10.6301i 0.316886 + 0.436156i
\(595\) 1.94994 + 2.68386i 0.0799396 + 0.110027i
\(596\) 7.62575 48.1471i 0.312363 1.97218i
\(597\) 7.50238 + 5.45080i 0.307052 + 0.223086i
\(598\) 15.1063 + 29.6478i 0.617744 + 1.21239i
\(599\) 11.5445 8.38758i 0.471696 0.342707i −0.326406 0.945230i \(-0.605838\pi\)
0.798102 + 0.602522i \(0.205838\pi\)
\(600\) −53.0646 27.0378i −2.16635 1.10381i
\(601\) −28.1452 + 28.1452i −1.14807 + 1.14807i −0.161133 + 0.986933i \(0.551515\pi\)
−0.986933 + 0.161133i \(0.948485\pi\)
\(602\) 0.629849 + 3.97671i 0.0256707 + 0.162079i
\(603\) −0.629431 + 1.23533i −0.0256324 + 0.0503065i
\(604\) −26.2543 + 13.3772i −1.06827 + 0.544312i
\(605\) 3.79547 11.6813i 0.154308 0.474911i
\(606\) 45.2685i 1.83891i
\(607\) −10.7097 3.47978i −0.434691 0.141240i 0.0834937 0.996508i \(-0.473392\pi\)
−0.518185 + 0.855269i \(0.673392\pi\)
\(608\) −116.865 18.5096i −4.73950 0.750663i
\(609\) −3.19017 + 0.505273i −0.129272 + 0.0204747i
\(610\) 5.28514 1.71725i 0.213989 0.0695292i
\(611\) −3.10354 9.55171i −0.125556 0.386421i
\(612\) −0.828231 0.828231i −0.0334793 0.0334793i
\(613\) 22.6203 31.1342i 0.913625 1.25750i −0.0522884 0.998632i \(-0.516652\pi\)
0.965913 0.258865i \(-0.0833485\pi\)
\(614\) −26.9872 −1.08912
\(615\) −5.29991 12.6016i −0.213713 0.508145i
\(616\) 10.8978 0.439084
\(617\) −12.9147 + 17.7756i −0.519928 + 0.715619i −0.985554 0.169362i \(-0.945829\pi\)
0.465626 + 0.884982i \(0.345829\pi\)
\(618\) −35.6779 35.6779i −1.43517 1.43517i
\(619\) 6.35485 + 19.5582i 0.255423 + 0.786111i 0.993746 + 0.111664i \(0.0356180\pi\)
−0.738323 + 0.674447i \(0.764382\pi\)
\(620\) −10.6037 + 3.44535i −0.425855 + 0.138369i
\(621\) −33.1575 + 5.25164i −1.33057 + 0.210741i
\(622\) 68.6811 + 10.8780i 2.75386 + 0.436169i
\(623\) 7.09302 + 2.30466i 0.284176 + 0.0923343i
\(624\) 49.7388i 1.99115i
\(625\) 1.56754 4.82438i 0.0627014 0.192975i
\(626\) 64.0140 32.6168i 2.55851 1.30363i
\(627\) 3.90881 7.67148i 0.156103 0.306369i
\(628\) 7.20156 + 45.4689i 0.287374 + 1.81440i
\(629\) 10.1923 10.1923i 0.406394 0.406394i
\(630\) 0.337546 + 0.171988i 0.0134482 + 0.00685218i
\(631\) −29.0459 + 21.1031i −1.15630 + 0.840102i −0.989306 0.145856i \(-0.953406\pi\)
−0.166995 + 0.985958i \(0.553406\pi\)
\(632\) −36.3469 71.3349i −1.44580 2.83755i
\(633\) 31.5468 + 22.9201i 1.25387 + 0.910992i
\(634\) 8.90083 56.1976i 0.353497 2.23189i
\(635\) −2.56271 3.52727i −0.101698 0.139976i
\(636\) 57.1784 + 78.6994i 2.26727 + 3.12063i
\(637\) 1.60178 10.1133i 0.0634650 0.400702i
\(638\) −3.15662 2.29342i −0.124972 0.0907973i
\(639\) 0.133327 + 0.261669i 0.00527434 + 0.0103515i
\(640\) 40.3511 29.3168i 1.59502 1.15885i
\(641\) −23.1194 11.7799i −0.913160 0.465278i −0.0667257 0.997771i \(-0.521255\pi\)
−0.846434 + 0.532493i \(0.821255\pi\)
\(642\) −17.0350 + 17.0350i −0.672318 + 0.672318i
\(643\) 6.58370 + 41.5679i 0.259636 + 1.63928i 0.680927 + 0.732351i \(0.261577\pi\)
−0.421291 + 0.906926i \(0.638423\pi\)
\(644\) −19.8549 + 38.9674i −0.782392 + 1.53553i
\(645\) −2.31119 + 1.17761i −0.0910030 + 0.0463684i
\(646\) 9.97627 30.7038i 0.392511 1.20802i
\(647\) 25.3408i 0.996251i 0.867105 + 0.498125i \(0.165978\pi\)
−0.867105 + 0.498125i \(0.834022\pi\)
\(648\) 84.6691 + 27.5107i 3.32612 + 1.08072i
\(649\) −7.13784 1.13052i −0.280185 0.0443769i
\(650\) 17.6480 2.79517i 0.692211 0.109635i
\(651\) −3.37745 + 1.09740i −0.132373 + 0.0430105i
\(652\) 0.281772 + 0.867204i 0.0110350 + 0.0339623i
\(653\) −10.0983 10.0983i −0.395178 0.395178i 0.481350 0.876528i \(-0.340147\pi\)
−0.876528 + 0.481350i \(0.840147\pi\)
\(654\) 22.8625 31.4675i 0.893994 1.23048i
\(655\) −9.63252 −0.376374
\(656\) −97.6379 7.15227i −3.81212 0.279249i
\(657\) 0.0562113 0.00219301
\(658\) 10.5781 14.5595i 0.412378 0.567590i
\(659\) 3.30690 + 3.30690i 0.128818 + 0.128818i 0.768576 0.639758i \(-0.220965\pi\)
−0.639758 + 0.768576i \(0.720965\pi\)
\(660\) 3.40776 + 10.4880i 0.132647 + 0.408245i
\(661\) −16.5128 + 5.36534i −0.642274 + 0.208688i −0.612005 0.790854i \(-0.709637\pi\)
−0.0302696 + 0.999542i \(0.509637\pi\)
\(662\) 17.2308 2.72909i 0.669693 0.106069i
\(663\) 7.25955 + 1.14980i 0.281938 + 0.0446546i
\(664\) 102.114 + 33.1789i 3.96279 + 1.28759i
\(665\) 7.65887i 0.296998i
\(666\) 0.508652 1.56547i 0.0197098 0.0606607i
\(667\) 8.88240 4.52581i 0.343928 0.175240i
\(668\) 15.2864 30.0013i 0.591449 1.16078i
\(669\) −6.51742 41.1494i −0.251978 1.59093i
\(670\) 34.6094 34.6094i 1.33708 1.33708i
\(671\) 1.39742 + 0.712021i 0.0539468 + 0.0274872i
\(672\) 39.0518 28.3728i 1.50646 1.09450i
\(673\) −1.92976 3.78737i −0.0743869 0.145992i 0.850818 0.525461i \(-0.176107\pi\)
−0.925205 + 0.379468i \(0.876107\pi\)
\(674\) 24.5201 + 17.8149i 0.944479 + 0.686205i
\(675\) −2.82006 + 17.8051i −0.108544 + 0.685320i
\(676\) −30.9939 42.6595i −1.19207 1.64075i
\(677\) −20.9582 28.8465i −0.805490 1.10866i −0.992004 0.126209i \(-0.959719\pi\)
0.186514 0.982452i \(-0.440281\pi\)
\(678\) −1.44656 + 9.13324i −0.0555550 + 0.350760i
\(679\) −16.5030 11.9901i −0.633326 0.460138i
\(680\) 11.9515 + 23.4562i 0.458320 + 0.899503i
\(681\) −20.3965 + 14.8189i −0.781595 + 0.567862i
\(682\) −3.82239 1.94760i −0.146367 0.0745776i
\(683\) 33.1183 33.1183i 1.26724 1.26724i 0.319726 0.947510i \(-0.396409\pi\)
0.947510 0.319726i \(-0.103591\pi\)
\(684\) −0.423021 2.67085i −0.0161746 0.102122i
\(685\) 4.10775 8.06191i 0.156949 0.308030i
\(686\) 37.0175 18.8614i 1.41334 0.720130i
\(687\) −11.2202 + 34.5324i −0.428079 + 1.31749i
\(688\) 18.5756i 0.708189i
\(689\) −17.6715 5.74182i −0.673231 0.218746i
\(690\) −37.9400 6.00911i −1.44435 0.228763i
\(691\) −33.4395 + 5.29630i −1.27210 + 0.201481i −0.755729 0.654884i \(-0.772717\pi\)
−0.516371 + 0.856365i \(0.672717\pi\)
\(692\) −100.139 + 32.5371i −3.80672 + 1.23688i
\(693\) 0.0330393 + 0.101684i 0.00125506 + 0.00386267i
\(694\) 2.45436 + 2.45436i 0.0931664 + 0.0931664i
\(695\) 1.50982 2.07809i 0.0572708 0.0788266i
\(696\) −25.6311 −0.971546
\(697\) 3.30097 14.0852i 0.125033 0.533517i
\(698\) 38.8744 1.47142
\(699\) −18.6484 + 25.6673i −0.705346 + 0.970826i
\(700\) 16.6061 + 16.6061i 0.627653 + 0.627653i
\(701\) −2.77956 8.55460i −0.104982 0.323103i 0.884744 0.466078i \(-0.154333\pi\)
−0.989726 + 0.142975i \(0.954333\pi\)
\(702\) −24.6285 + 8.00230i −0.929544 + 0.302027i
\(703\) 32.8678 5.20575i 1.23963 0.196338i
\(704\) 29.2525 + 4.63314i 1.10250 + 0.174618i
\(705\) 11.0267 + 3.58280i 0.415291 + 0.134936i
\(706\) 2.80153i 0.105437i
\(707\) 3.51188 10.8085i 0.132078 0.406494i
\(708\) −66.4398 + 33.8528i −2.49696 + 1.27227i
\(709\) −6.86482 + 13.4730i −0.257814 + 0.505988i −0.983241 0.182311i \(-0.941642\pi\)
0.725427 + 0.688299i \(0.241642\pi\)
\(710\) −1.62185 10.2400i −0.0608671 0.384300i
\(711\) 0.555413 0.555413i 0.0208296 0.0208296i
\(712\) 52.7327 + 26.8687i 1.97624 + 1.00695i
\(713\) 8.86739 6.44254i 0.332087 0.241275i
\(714\) 5.97932 + 11.7351i 0.223770 + 0.439174i
\(715\) −1.70411 1.23811i −0.0637302 0.0463027i
\(716\) −11.2272 + 70.8860i −0.419581 + 2.64913i
\(717\) −23.4729 32.3077i −0.876613 1.20655i
\(718\) −18.0576 24.8541i −0.673902 0.927547i
\(719\) 6.05643 38.2388i 0.225867 1.42607i −0.570522 0.821282i \(-0.693259\pi\)
0.796389 0.604785i \(-0.206741\pi\)
\(720\) 1.41400 + 1.02733i 0.0526966 + 0.0382863i
\(721\) 5.75073 + 11.2864i 0.214168 + 0.420329i
\(722\) 18.1901 13.2159i 0.676965 0.491844i
\(723\) −4.89558 2.49442i −0.182069 0.0927686i
\(724\) −46.2441 + 46.2441i −1.71865 + 1.71865i
\(725\) −0.837423 5.28728i −0.0311011 0.196365i
\(726\) 22.1377 43.4478i 0.821609 1.61250i
\(727\) 23.9407 12.1984i 0.887912 0.452414i 0.0503346 0.998732i \(-0.483971\pi\)
0.837577 + 0.546319i \(0.183971\pi\)
\(728\) −6.63705 + 20.4268i −0.245986 + 0.757066i
\(729\) 26.1000i 0.966665i
\(730\) −1.88729 0.613216i −0.0698516 0.0226962i
\(731\) −2.71118 0.429408i −0.100277 0.0158822i
\(732\) 15.9833 2.53151i 0.590760 0.0935672i
\(733\) 4.87811 1.58499i 0.180177 0.0585431i −0.217539 0.976052i \(-0.569803\pi\)
0.397716 + 0.917509i \(0.369803\pi\)
\(734\) 24.3041 + 74.8002i 0.897079 + 2.76093i
\(735\) 8.35838 + 8.35838i 0.308304 + 0.308304i
\(736\) −87.5706 + 120.531i −3.22789 + 4.44281i
\(737\) 13.8135 0.508828
\(738\) −0.394362 1.60430i −0.0145167 0.0590550i
\(739\) 1.40461 0.0516695 0.0258348 0.999666i \(-0.491776\pi\)
0.0258348 + 0.999666i \(0.491776\pi\)
\(740\) −25.0529 + 34.4823i −0.920962 + 1.26760i
\(741\) 11.9988 + 11.9988i 0.440787 + 0.440787i
\(742\) −10.2888 31.6657i −0.377714 1.16248i
\(743\) −8.77872 + 2.85238i −0.322060 + 0.104644i −0.465585 0.885003i \(-0.654156\pi\)
0.143525 + 0.989647i \(0.454156\pi\)
\(744\) −27.8341 + 4.40849i −1.02045 + 0.161623i
\(745\) −10.6167 1.68152i −0.388966 0.0616061i
\(746\) −88.6254 28.7961i −3.24481 1.05430i
\(747\) 1.05339i 0.0385415i
\(748\) −3.60622 + 11.0988i −0.131856 + 0.405812i
\(749\) 5.38890 2.74578i 0.196906 0.100329i
\(750\) −22.6408 + 44.4350i −0.826724 + 1.62254i
\(751\) −4.42188 27.9186i −0.161357 1.01877i −0.926880 0.375358i \(-0.877520\pi\)
0.765523 0.643408i \(-0.222480\pi\)
\(752\) 58.7103 58.7103i 2.14094 2.14094i
\(753\) 10.3224 + 5.25954i 0.376170 + 0.191668i
\(754\) 6.22124 4.52000i 0.226564 0.164609i
\(755\) 2.94975 + 5.78922i 0.107352 + 0.210691i
\(756\) −27.5358 20.0060i −1.00147 0.727610i
\(757\) 2.19110 13.8341i 0.0796371 0.502809i −0.915338 0.402686i \(-0.868077\pi\)
0.994975 0.100122i \(-0.0319234\pi\)
\(758\) −11.2645 15.5042i −0.409145 0.563139i
\(759\) −6.37224 8.77064i −0.231298 0.318354i
\(760\) −9.50762 + 60.0287i −0.344877 + 2.17747i
\(761\) 38.0493 + 27.6444i 1.37929 + 1.00211i 0.996946 + 0.0780880i \(0.0248815\pi\)
0.382339 + 0.924022i \(0.375119\pi\)
\(762\) −7.85835 15.4229i −0.284678 0.558712i
\(763\) −7.89995 + 5.73965i −0.285998 + 0.207789i
\(764\) 2.11691 + 1.07862i 0.0765870