Properties

Label 41.2.g.a.36.1
Level 41
Weight 2
Character 41.36
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 36.1
Character \(\chi\) = 41.36
Dual form 41.2.g.a.8.1

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

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{1}{20}\right)\)

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 −0.770655 0.637252i \(-0.780071\pi\)
−0.367917 0.929858i \(-0.619929\pi\)
\(3\) 1.24382 1.24382i 0.718121 0.718121i −0.250099 0.968220i \(-0.580463\pi\)
0.968220 + 0.250099i \(0.0804633\pi\)
\(4\) −1.70094 + 5.23496i −0.850472 + 2.61748i
\(5\) −1.15434 0.375067i −0.516236 0.167735i 0.0393006 0.999227i \(-0.487487\pi\)
−0.555536 + 0.831492i \(0.687487\pi\)
\(6\) −4.75938 0.753811i −1.94301 0.307742i
\(7\) 1.19485 0.189245i 0.451609 0.0715279i 0.0735133 0.997294i \(-0.476579\pi\)
0.378096 + 0.925766i \(0.376579\pi\)
\(8\) 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 0.575472 0.817821i \(-0.304818\pi\)
−0.323377 + 0.946270i \(0.604818\pi\)
\(12\) 4.39569 + 8.62703i 1.26893 + 2.49041i
\(13\) 0.289312 1.82664i 0.0802407 0.506620i −0.914533 0.404512i \(-0.867441\pi\)
0.994773 0.102108i \(-0.0325587\pi\)
\(14\) −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 −0.981298 0.192495i \(-0.938342\pi\)
0.732524 + 0.680741i \(0.238342\pi\)
\(18\) −0.208733 + 0.151653i −0.0491988 + 0.0357450i
\(19\) 0.815977 + 5.15188i 0.187198 + 1.18192i 0.884986 + 0.465618i \(0.154168\pi\)
−0.697788 + 0.716304i \(0.745832\pi\)
\(20\) 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 −0.982337 0.187118i \(-0.940085\pi\)
−0.125599 + 0.992081i \(0.540085\pi\)
\(24\) 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 0.818134 0.575028i \(-0.195009\pi\)
−0.946094 + 0.323891i \(0.895009\pi\)
\(30\) 5.21120 + 2.65524i 0.951431 + 0.484778i
\(31\) −0.515703 1.58717i −0.0926230 0.285064i 0.894004 0.448059i \(-0.147885\pi\)
−0.986627 + 0.162995i \(0.947885\pi\)
\(32\) 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 −0.647737 0.761864i \(-0.724285\pi\)
0.971843 0.235630i \(-0.0757154\pi\)
\(38\) 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 0.859990 0.510312i \(-0.170470\pi\)
−0.751087 + 0.660204i \(0.770470\pi\)
\(44\) −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 −0.247542 0.968877i \(-0.579623\pi\)
−0.534826 + 0.844962i \(0.679623\pi\)
\(48\) −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 −0.958162 0.286226i \(-0.907599\pi\)
0.331632 0.943409i \(-0.392401\pi\)
\(54\) 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 −0.914163 0.405348i \(-0.867150\pi\)
0.103017 + 0.994680i \(0.467150\pi\)
\(60\) −1.83840 11.6072i −0.237336 1.49848i
\(61\) 0.982392 1.35215i 0.125782 0.173125i −0.741481 0.670973i \(-0.765876\pi\)
0.867264 + 0.497849i \(0.165876\pi\)
\(62\) −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 0.602561 0.798073i \(-0.294147\pi\)
0.999831 0.0183870i \(-0.00585310\pi\)
\(68\) −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 0.611012 0.791621i \(-0.290763\pi\)
−0.281291 + 0.959623i \(0.590763\pi\)
\(72\) −0.279399 0.859903i −0.0329275 0.101340i
\(73\) 0.596826i 0.0698532i 0.999390 + 0.0349266i \(0.0111197\pi\)
−0.999390 + 0.0349266i \(0.988880\pi\)
\(74\) −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 −0.956198 0.292721i \(-0.905439\pi\)
0.292721 + 0.956198i \(0.405439\pi\)
\(80\) 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 0.174873 0.984591i \(-0.444048\pi\)
0.470570 + 0.882363i \(0.344048\pi\)
\(90\) 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 −0.997410 0.0719256i \(-0.977086\pi\)
−0.528074 + 0.849198i \(0.677086\pi\)
\(98\) 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 0.946285 + 0.323334i \(0.104804\pi\)
−0.800055 + 0.599927i \(0.795196\pi\)
\(102\) 6.39929 8.80787i 0.633624 0.872109i
\(103\) 6.15464 8.47113i 0.606435 0.834686i −0.389844 0.920881i \(-0.627471\pi\)
0.996278 + 0.0861955i \(0.0274710\pi\)
\(104\) −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 0.765871 0.642994i \(-0.222308\pi\)
−0.374857 + 0.927083i \(0.622308\pi\)
\(108\) −25.0686 + 12.7731i −2.41222 + 1.22909i
\(109\) −5.70768 5.70768i −0.546697 0.546697i 0.378787 0.925484i \(-0.376341\pi\)
−0.925484 + 0.378787i \(0.876341\pi\)
\(110\) −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 0.975067 0.221911i \(-0.0712295\pi\)
−0.919282 + 0.393600i \(0.871229\pi\)
\(114\) 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 −0.889650 0.456643i \(-0.849052\pi\)
0.988150 + 0.153492i \(0.0490518\pi\)
\(128\) −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 0.0398754 0.999205i \(-0.487304\pi\)
0.619578 + 0.784935i \(0.287304\pi\)
\(132\) 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 0.445117 0.895472i \(-0.353162\pi\)
−0.895472 + 0.445117i \(0.853162\pi\)
\(138\) 28.1989 14.3681i 2.40045 1.22309i
\(139\) −1.71214 1.24394i −0.145221 0.105510i 0.512802 0.858507i \(-0.328607\pi\)
−0.658024 + 0.752997i \(0.728607\pi\)
\(140\) 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 −0.0998440 0.995003i \(-0.531834\pi\)
0.746288 + 0.665624i \(0.231834\pi\)
\(150\) 12.0171 + 12.0171i 0.981191 + 0.981191i
\(151\) −0.837422 + 5.28728i −0.0681485 + 0.430272i 0.929899 + 0.367815i \(0.119894\pi\)
−0.998048 + 0.0624578i \(0.980106\pi\)
\(152\) 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 −0.477095 0.878851i \(-0.658310\pi\)
−0.182165 + 0.983268i \(0.558310\pi\)
\(158\) 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 −0.519657 0.854375i \(-0.673940\pi\)
0.854375 + 0.519657i \(0.173940\pi\)
\(168\) 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 \(0.259165\pi\)
−0.686456 + 0.727171i \(0.740835\pi\)
\(174\) 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 −0.830613 0.556850i \(-0.812010\pi\)
−0.0377216 + 0.999288i \(0.512010\pi\)
\(180\) −0.509059 0.369853i −0.0379430 0.0275672i
\(181\) −5.39400 + 10.5863i −0.400933 + 0.786875i −0.999903 0.0138960i \(-0.995577\pi\)
0.598971 + 0.800771i \(0.295577\pi\)
\(182\) −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 0.695978 0.718063i \(-0.254971\pi\)
−0.718063 + 0.695978i \(0.754971\pi\)
\(192\) 8.68499 54.8349i 0.626785 3.95737i
\(193\) −9.62661 18.8933i −0.692938 1.35997i −0.922242 0.386613i \(-0.873645\pi\)
0.229304 0.973355i \(-0.426355\pi\)
\(194\) 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 0.623876 0.781524i \(-0.285557\pi\)
0.964094 + 0.265561i \(0.0855572\pi\)
\(198\) −0.239129 + 0.0378744i −0.0169942 + 0.00269161i
\(199\) 5.20701 + 0.824709i 0.369115 + 0.0584621i 0.338237 0.941061i \(-0.390170\pi\)
0.0308784 + 0.999523i \(0.490170\pi\)
\(200\) −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 0.854766 0.519013i \(-0.173701\pi\)
0.652547 + 0.757748i \(0.273701\pi\)
\(212\) 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 −0.999643 0.0267138i \(-0.991496\pi\)
−0.283500 + 0.958972i \(0.591496\pi\)
\(224\) 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 −0.943215 0.332182i \(-0.892215\pi\)
0.794401 0.607393i \(-0.207785\pi\)
\(228\) −40.8586 + 29.6855i −2.70593 + 1.96597i
\(229\) 9.37117 18.3920i 0.619264 1.21537i −0.341988 0.939704i \(-0.611100\pi\)
0.961252 0.275670i \(-0.0888997\pi\)
\(230\) −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 −0.704462 0.709741i \(-0.748812\pi\)
0.889306 0.457313i \(-0.151188\pi\)
\(234\) 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 −0.831414 0.555653i \(-0.812468\pi\)
−0.619015 + 0.785379i \(0.712468\pi\)
\(240\) 32.2410 + 5.10647i 2.08115 + 0.329621i
\(241\) −2.97068 0.965234i −0.191359 0.0621762i 0.211770 0.977320i \(-0.432077\pi\)
−0.403129 + 0.915143i \(0.632077\pi\)
\(242\) −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 0.499950 0.866054i \(-0.333352\pi\)
−0.104586 + 0.994516i \(0.533352\pi\)
\(252\) 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 0.253896 0.967232i \(-0.418288\pi\)
−0.633270 + 0.773931i \(0.718288\pi\)
\(258\) −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 −0.637818 0.770187i \(-0.720163\pi\)
0.997995 + 0.0633007i \(0.0201627\pi\)
\(264\) 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 −0.114841 0.993384i \(-0.536636\pi\)
0.909276 + 0.416193i \(0.136636\pi\)
\(270\) −7.71564 + 15.1428i −0.469559 + 0.921561i
\(271\) 16.7793 + 12.1909i 1.01927 + 0.740544i 0.966133 0.258043i \(-0.0830776\pi\)
0.0531382 + 0.998587i \(0.483078\pi\)
\(272\) 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 0.985987 0.166820i \(-0.0533499\pi\)
−0.895735 + 0.444588i \(0.853350\pi\)
\(278\) 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 0.325544 0.945527i \(-0.394453\pi\)
0.0174270 + 0.999848i \(0.494453\pi\)
\(282\) 24.8873 + 8.08636i 1.48201 + 0.481536i
\(283\) −4.46953 + 13.7558i −0.265686 + 0.817697i 0.725849 + 0.687854i \(0.241447\pi\)
−0.991535 + 0.129843i \(0.958553\pi\)
\(284\) −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 −0.440550 0.897728i \(-0.645216\pi\)
−0.696401 + 0.717653i \(0.745216\pi\)
\(294\) 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 −0.611148 0.791516i \(-0.709292\pi\)
0.941632 + 0.336644i \(0.109292\pi\)
\(308\) −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 0.291879 + 0.956455i \(0.405720\pi\)
−0.945351 + 0.326056i \(0.894280\pi\)
\(312\) −25.2657 18.3566i −1.43039 1.03924i
\(313\) −23.3678 + 11.9065i −1.32083 + 0.672995i −0.965170 0.261622i \(-0.915743\pi\)
−0.355656 + 0.934617i \(0.615743\pi\)
\(314\) 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 −0.150950 0.988541i \(-0.548233\pi\)
−0.888473 + 0.458929i \(0.848233\pi\)
\(318\) 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 −0.819949 0.572436i \(-0.805999\pi\)
0.572436 + 0.819949i \(0.305999\pi\)
\(332\) −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 \(0.0974353\pi\)
−0.953515 + 0.301344i \(0.902565\pi\)
\(338\) −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 0.992437 0.122753i \(-0.0391723\pi\)
−0.981797 + 0.189935i \(0.939172\pi\)
\(348\) 8.63828 11.8896i 0.463061 0.637348i
\(349\) −8.34115 + 11.4806i −0.446491 + 0.614543i −0.971639 0.236468i \(-0.924010\pi\)
0.525148 + 0.851011i \(0.324010\pi\)
\(350\) 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 0.565549 0.824714i \(-0.308664\pi\)
−0.609586 + 0.792720i \(0.708664\pi\)
\(354\) 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 0.817004 0.576632i \(-0.195633\pi\)
−0.999906 + 0.0137176i \(0.995633\pi\)
\(360\) 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 0.976172 + 0.217000i \(0.0696271\pi\)
−0.0952746 + 0.995451i \(0.530373\pi\)
\(368\) 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 −0.178414 0.983956i \(-0.557097\pi\)
0.722694 0.691168i \(-0.242903\pi\)
\(374\) 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 0.880057 0.474869i \(-0.157504\pi\)
−0.991102 + 0.133108i \(0.957504\pi\)
\(380\) 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 0.961976 0.273136i \(-0.0880608\pi\)
−0.273136 + 0.961976i \(0.588061\pi\)
\(384\) −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 −0.443138 0.896453i \(-0.646135\pi\)
0.989515 + 0.144430i \(0.0461348\pi\)
\(390\) 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 0.933211 + 0.359329i \(0.116994\pi\)
−0.998575 + 0.0533644i \(0.983006\pi\)
\(398\) −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 \(0.0334567\pi\)
−0.994481 + 0.104914i \(0.966543\pi\)
\(402\) −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 \(0.0699361\pi\)
−0.975961 + 0.217947i \(0.930064\pi\)
\(420\) −4.39321 13.5209i −0.214367 0.659753i
\(421\) 17.2160 + 8.77197i 0.839054 + 0.427520i 0.820045 0.572300i \(-0.193949\pi\)
0.0190099 + 0.999819i \(0.493949\pi\)
\(422\) −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 −0.432397 0.901683i \(-0.642332\pi\)
0.991170 + 0.132598i \(0.0423320\pi\)
\(432\) −12.2254 77.1880i −0.588193 3.71371i
\(433\) −8.46295 + 6.14869i −0.406703 + 0.295487i −0.772266 0.635299i \(-0.780877\pi\)
0.365562 + 0.930787i \(0.380877\pi\)
\(434\) −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 0.946344 + 0.323162i \(0.104746\pi\)
−0.294803 + 0.955558i \(0.595254\pi\)
\(440\) −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 −0.759055 0.651027i \(-0.774338\pi\)
−0.231424 + 0.972853i \(0.574338\pi\)
\(444\) 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 0.734127 0.679012i \(-0.237592\pi\)
−0.872637 + 0.488370i \(0.837592\pi\)
\(450\) 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 0.433507 0.901150i \(-0.357276\pi\)
0.133819 + 0.991006i \(0.457276\pi\)
\(458\) −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 0.904240 + 0.427025i \(0.140438\pi\)
−0.480547 + 0.876969i \(0.659562\pi\)
\(462\) −4.87397 2.48341i −0.226758 0.115539i
\(463\) 8.27308 + 16.2368i 0.384483 + 0.754590i 0.999422 0.0339843i \(-0.0108196\pi\)
−0.614940 + 0.788574i \(0.710820\pi\)
\(464\) −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 0.216292 0.976329i \(-0.430604\pi\)
−0.861706 + 0.507408i \(0.830604\pi\)
\(468\) 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 −0.768244 0.640157i \(-0.778869\pi\)
0.928463 0.371425i \(-0.121131\pi\)
\(480\) −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 0.300677 0.953726i \(-0.402787\pi\)
−0.317333 + 0.948314i \(0.602787\pi\)
\(488\) 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 −0.355534 0.934663i \(-0.615701\pi\)
−0.0493065 + 0.998784i \(0.515701\pi\)
\(500\) −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 0.624000 0.781424i \(-0.285507\pi\)
−0.265408 + 0.964136i \(0.585507\pi\)
\(504\) −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 −0.725105 0.688638i \(-0.758209\pi\)
0.983326 + 0.181851i \(0.0582088\pi\)
\(510\) −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 0.860181 + 0.509989i \(0.170351\pi\)
−0.0930117 + 0.995665i \(0.529649\pi\)
\(522\) 0.348933 + 0.177790i 0.0152724 + 0.00778167i
\(523\) −5.49317 16.9063i −0.240200 0.739259i −0.996389 0.0849058i \(-0.972941\pi\)
0.756189 0.654353i \(-0.227059\pi\)
\(524\) 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 −0.775439 0.631423i \(-0.782471\pi\)
−0.256202 + 0.966623i \(0.582471\pi\)
\(542\) 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 0.749450 0.662061i \(-0.230318\pi\)
−0.662061 + 0.749450i \(0.730318\pi\)
\(548\) 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 −0.824084 0.566468i \(-0.808310\pi\)
0.942666 + 0.333737i \(0.108310\pi\)
\(558\) 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 −0.218570 0.975821i \(-0.570139\pi\)
−0.917928 + 0.396746i \(0.870139\pi\)
\(564\) −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 0.685919 0.727678i \(-0.259400\pi\)
0.127202 + 0.991877i \(0.459400\pi\)
\(570\) −9.42725 + 29.0141i −0.394864 + 1.21527i
\(571\) 20.9716 20.9716i 0.877633 0.877633i −0.115656 0.993289i \(-0.536897\pi\)
0.993289 + 0.115656i \(0.0368971\pi\)
\(572\) 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 −0.999118 0.0419858i \(-0.986632\pi\)
0.0419858 + 0.999118i \(0.486632\pi\)
\(578\) 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 −0.774615 0.632433i \(-0.782056\pi\)
0.932135 0.362110i \(-0.117944\pi\)
\(588\) −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 0.978305 + 0.207169i \(0.0664250\pi\)
−0.866405 + 0.499342i \(0.833575\pi\)
\(594\) 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 0.798102 0.602522i \(-0.205838\pi\)
−0.326406 + 0.945230i \(0.605838\pi\)
\(600\) −53.0646 + 27.0378i −2.16635 + 1.10381i
\(601\) −28.1452 28.1452i −1.14807 1.14807i −0.986933 0.161133i \(-0.948485\pi\)
−0.161133 0.986933i \(-0.551515\pi\)
\(602\) 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 −0.518185 0.855269i \(-0.673392\pi\)
0.0834937 + 0.996508i \(0.473392\pi\)
\(608\) −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 0.965913 + 0.258865i \(0.0833485\pi\)
−0.0522884 + 0.998632i \(0.516652\pi\)
\(614\) −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 0.465626 0.884982i \(-0.345829\pi\)
−0.985554 + 0.169362i \(0.945829\pi\)
\(618\) −35.6779 + 35.6779i −1.43517 + 1.43517i
\(619\) 6.35485 19.5582i 0.255423 0.786111i −0.738323 0.674447i \(-0.764382\pi\)
0.993746 0.111664i \(-0.0356180\pi\)
\(620\) −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 −0.166995 0.985958i \(-0.553406\pi\)
−0.989306 + 0.145856i \(0.953406\pi\)
\(632\) −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 −0.846434 0.532493i \(-0.821255\pi\)
−0.0667257 + 0.997771i \(0.521255\pi\)
\(642\) −17.0350 17.0350i −0.672318 0.672318i
\(643\) 6.58370 41.5679i 0.259636 1.63928i −0.421291 0.906926i \(-0.638423\pi\)
0.680927 0.732351i \(-0.261577\pi\)
\(644\) −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 \(-0.834022\pi\)
0.867105 0.498125i \(-0.165978\pi\)
\(648\) 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 −0.876528 0.481350i \(-0.840147\pi\)
0.481350 + 0.876528i \(0.340147\pi\)
\(654\) 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 −0.639758 0.768576i \(-0.720965\pi\)
0.768576 + 0.639758i \(0.220965\pi\)
\(660\) 3.40776 10.4880i 0.132647 0.408245i
\(661\) −16.5128 5.36534i −0.642274 0.208688i −0.0302696 0.999542i \(-0.509637\pi\)
−0.612005 + 0.790854i \(0.709637\pi\)
\(662\) 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 −0.925205 0.379468i \(-0.876107\pi\)
0.850818 + 0.525461i \(0.176107\pi\)
\(674\) 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 0.186514 + 0.982452i \(0.440281\pi\)
−0.992004 + 0.126209i \(0.959719\pi\)
\(678\) −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 0.947510 + 0.319726i \(0.103591\pi\)
0.319726 + 0.947510i \(0.396409\pi\)
\(684\) −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 −0.516371 0.856365i \(-0.672717\pi\)
−0.755729 + 0.654884i \(0.772717\pi\)
\(692\) −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 −0.989726 0.142975i \(-0.954333\pi\)
0.884744 + 0.466078i \(0.154333\pi\)
\(702\) −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 0.725427 0.688299i \(-0.241642\pi\)
−0.983241 + 0.182311i \(0.941642\pi\)
\(710\) −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 0.796389 + 0.604785i \(0.206741\pi\)
−0.570522 + 0.821282i \(0.693259\pi\)
\(720\) 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 0.837577 0.546319i \(-0.183971\pi\)
0.0503346 + 0.998732i \(0.483971\pi\)
\(728\) −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 0.397716 0.917509i \(-0.369803\pi\)
−0.217539 + 0.976052i \(0.569803\pi\)
\(734\) 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 0.143525 0.989647i \(-0.454156\pi\)
−0.465585 + 0.885003i \(0.654156\pi\)
\(744\) −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 0.765523 + 0.643408i \(0.222480\pi\)
−0.926880 + 0.375358i \(0.877520\pi\)
\(752\) 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 0.994975 + 0.100122i \(0.0319234\pi\)
−0.915338 + 0.402686i \(0.868077\pi\)
\(758\) −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 0.382339 0.924022i \(-0.375119\pi\)
0.996946 0.0780880i \(-0.0248815\pi\)
\(762\) −7.85835 + 15.4229i −0.284678 + 0.558712i
\(763\) −7.89995 5.73965i −0.285998 0.207789i
\(764\) 2.11691 1.07862i 0.0765