Properties

Label 475.2.bc.a.16.32
Level $475$
Weight $2$
Character 475.16
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 16.32
Character \(\chi\) \(=\) 475.16
Dual form 475.2.bc.a.386.32

$q$-expansion

\(f(q)\) \(=\) \(q+(0.235316 + 0.943803i) q^{2} +(-0.767384 - 0.982207i) q^{3} +(0.930506 - 0.494759i) q^{4} +(1.56582 - 1.59631i) q^{5} +(0.746431 - 0.955388i) q^{6} +(1.73336 + 3.00227i) q^{7} +(1.98764 + 2.20750i) q^{8} +(0.349914 - 1.40343i) q^{9} +O(q^{10})\) \(q+(0.235316 + 0.943803i) q^{2} +(-0.767384 - 0.982207i) q^{3} +(0.930506 - 0.494759i) q^{4} +(1.56582 - 1.59631i) q^{5} +(0.746431 - 0.955388i) q^{6} +(1.73336 + 3.00227i) q^{7} +(1.98764 + 2.20750i) q^{8} +(0.349914 - 1.40343i) q^{9} +(1.87506 + 1.10219i) q^{10} +(-4.69845 + 2.09189i) q^{11} +(-1.20001 - 0.534279i) q^{12} +(2.54941 - 0.731032i) q^{13} +(-2.42567 + 2.34244i) q^{14} +(-2.76949 - 0.312978i) q^{15} +(-0.437092 + 0.648015i) q^{16} +(0.933471 - 0.583297i) q^{17} +1.40690 q^{18} +(2.56785 - 3.52224i) q^{19} +(0.667218 - 2.26008i) q^{20} +(1.61870 - 4.00642i) q^{21} +(-3.07995 - 3.94216i) q^{22} +(0.515454 - 1.05684i) q^{23} +(0.642936 - 3.64627i) q^{24} +(-0.0964071 - 4.99907i) q^{25} +(1.28987 + 2.23412i) q^{26} +(-5.06301 + 2.25420i) q^{27} +(3.09831 + 1.93604i) q^{28} +(6.59530 + 4.12120i) q^{29} +(-0.356318 - 2.68750i) q^{30} +(-7.87467 + 1.67381i) q^{31} +(4.86822 + 1.77189i) q^{32} +(5.66018 + 3.00957i) q^{33} +(0.770178 + 0.743753i) q^{34} +(7.50670 + 1.93404i) q^{35} +(-0.368761 - 1.47902i) q^{36} +(4.56145 - 3.31409i) q^{37} +(3.92855 + 1.59470i) q^{38} +(-2.67440 - 1.94307i) q^{39} +(6.63613 + 0.283659i) q^{40} +(-5.26675 + 7.80827i) q^{41} +(4.16217 + 0.584956i) q^{42} +(1.13747 - 6.45089i) q^{43} +(-3.33696 + 4.27111i) q^{44} +(-1.69240 - 2.75609i) q^{45} +(1.11874 + 0.237796i) q^{46} +(-5.50976 - 3.44288i) q^{47} +(0.971902 - 0.0679620i) q^{48} +(-2.50910 + 4.34589i) q^{49} +(4.69545 - 1.26735i) q^{50} +(-1.28925 - 0.469248i) q^{51} +(2.01056 - 1.94157i) q^{52} +(0.935362 - 0.497341i) q^{53} +(-3.31893 - 4.24803i) q^{54} +(-4.01764 + 10.7757i) q^{55} +(-3.18221 + 9.79383i) q^{56} +(-5.43009 + 0.180751i) q^{57} +(-2.33762 + 7.19445i) q^{58} +(-6.78986 - 0.474793i) q^{59} +(-2.73188 + 1.07900i) q^{60} +(-2.13863 + 4.38485i) q^{61} +(-3.43279 - 7.03826i) q^{62} +(4.82000 - 1.38211i) q^{63} +(-0.690149 + 6.56633i) q^{64} +(2.82497 - 5.21432i) q^{65} +(-1.50851 + 6.05030i) q^{66} +(1.95407 + 4.83648i) q^{67} +(0.580008 - 1.00460i) q^{68} +(-1.43358 + 0.304718i) q^{69} +(-0.0589032 + 7.53995i) q^{70} +(-2.28218 + 0.320740i) q^{71} +(3.79356 - 2.01707i) q^{72} +(6.64413 + 1.90517i) q^{73} +(4.20123 + 3.52525i) q^{74} +(-4.83614 + 3.93090i) q^{75} +(0.646740 - 4.54793i) q^{76} +(-14.4245 - 10.4800i) q^{77} +(1.20454 - 2.98134i) q^{78} +(-2.59825 - 3.32561i) q^{79} +(0.350025 + 1.71241i) q^{80} +(2.26809 + 1.20597i) q^{81} +(-8.60882 - 3.13335i) q^{82} +(-6.16926 + 1.31132i) q^{83} +(-0.476002 - 4.52886i) q^{84} +(0.530525 - 2.40345i) q^{85} +(6.35603 - 0.444457i) q^{86} +(-1.01326 - 9.64049i) q^{87} +(-13.9567 - 6.21391i) q^{88} +(-2.49167 - 3.69405i) q^{89} +(2.20295 - 2.24585i) q^{90} +(6.61382 + 6.38689i) q^{91} +(-0.0432465 - 1.23842i) q^{92} +(7.68693 + 6.45010i) q^{93} +(1.95286 - 6.01029i) q^{94} +(-1.60179 - 9.61427i) q^{95} +(-1.99544 - 6.14132i) q^{96} +(-4.88431 + 12.0891i) q^{97} +(-4.69209 - 1.34544i) q^{98} +(1.29176 + 7.32592i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.235316 + 0.943803i 0.166394 + 0.667369i 0.994311 + 0.106518i \(0.0339703\pi\)
−0.827917 + 0.560851i \(0.810474\pi\)
\(3\) −0.767384 0.982207i −0.443049 0.567077i 0.513708 0.857965i \(-0.328272\pi\)
−0.956757 + 0.290888i \(0.906049\pi\)
\(4\) 0.930506 0.494759i 0.465253 0.247379i
\(5\) 1.56582 1.59631i 0.700257 0.713891i
\(6\) 0.746431 0.955388i 0.304729 0.390036i
\(7\) 1.73336 + 3.00227i 0.655150 + 1.13475i 0.981856 + 0.189627i \(0.0607279\pi\)
−0.326706 + 0.945126i \(0.605939\pi\)
\(8\) 1.98764 + 2.20750i 0.702736 + 0.780468i
\(9\) 0.349914 1.40343i 0.116638 0.467809i
\(10\) 1.87506 + 1.10219i 0.592947 + 0.348543i
\(11\) −4.69845 + 2.09189i −1.41664 + 0.630728i −0.965185 0.261568i \(-0.915761\pi\)
−0.451452 + 0.892295i \(0.649094\pi\)
\(12\) −1.20001 0.534279i −0.346413 0.154233i
\(13\) 2.54941 0.731032i 0.707080 0.202752i 0.0972219 0.995263i \(-0.469004\pi\)
0.609858 + 0.792511i \(0.291227\pi\)
\(14\) −2.42567 + 2.34244i −0.648286 + 0.626043i
\(15\) −2.76949 0.312978i −0.715080 0.0808106i
\(16\) −0.437092 + 0.648015i −0.109273 + 0.162004i
\(17\) 0.933471 0.583297i 0.226400 0.141470i −0.411977 0.911194i \(-0.635162\pi\)
0.638377 + 0.769724i \(0.279606\pi\)
\(18\) 1.40690 0.331609
\(19\) 2.56785 3.52224i 0.589105 0.808057i
\(20\) 0.667218 2.26008i 0.149194 0.505369i
\(21\) 1.61870 4.00642i 0.353229 0.874272i
\(22\) −3.07995 3.94216i −0.656648 0.840471i
\(23\) 0.515454 1.05684i 0.107480 0.220366i −0.838275 0.545248i \(-0.816436\pi\)
0.945755 + 0.324882i \(0.105324\pi\)
\(24\) 0.642936 3.64627i 0.131239 0.744292i
\(25\) −0.0964071 4.99907i −0.0192814 0.999814i
\(26\) 1.28987 + 2.23412i 0.252964 + 0.438147i
\(27\) −5.06301 + 2.25420i −0.974376 + 0.433820i
\(28\) 3.09831 + 1.93604i 0.585525 + 0.365876i
\(29\) 6.59530 + 4.12120i 1.22472 + 0.765288i 0.978962 0.204045i \(-0.0654088\pi\)
0.245754 + 0.969332i \(0.420964\pi\)
\(30\) −0.356318 2.68750i −0.0650544 0.490669i
\(31\) −7.87467 + 1.67381i −1.41433 + 0.300626i −0.850809 0.525475i \(-0.823888\pi\)
−0.563523 + 0.826100i \(0.690554\pi\)
\(32\) 4.86822 + 1.77189i 0.860588 + 0.313228i
\(33\) 5.66018 + 3.00957i 0.985311 + 0.523899i
\(34\) 0.770178 + 0.743753i 0.132084 + 0.127553i
\(35\) 7.50670 + 1.93404i 1.26886 + 0.326912i
\(36\) −0.368761 1.47902i −0.0614602 0.246503i
\(37\) 4.56145 3.31409i 0.749898 0.544833i −0.145897 0.989300i \(-0.546607\pi\)
0.895795 + 0.444467i \(0.146607\pi\)
\(38\) 3.92855 + 1.59470i 0.637296 + 0.258695i
\(39\) −2.67440 1.94307i −0.428247 0.311140i
\(40\) 6.63613 + 0.283659i 1.04927 + 0.0448504i
\(41\) −5.26675 + 7.80827i −0.822528 + 1.21945i 0.150466 + 0.988615i \(0.451923\pi\)
−0.972994 + 0.230832i \(0.925855\pi\)
\(42\) 4.16217 + 0.584956i 0.642238 + 0.0902606i
\(43\) 1.13747 6.45089i 0.173462 0.983752i −0.766442 0.642313i \(-0.777975\pi\)
0.939904 0.341438i \(-0.110914\pi\)
\(44\) −3.33696 + 4.27111i −0.503066 + 0.643894i
\(45\) −1.69240 2.75609i −0.252288 0.410853i
\(46\) 1.11874 + 0.237796i 0.164949 + 0.0350611i
\(47\) −5.50976 3.44288i −0.803681 0.502195i 0.0648120 0.997897i \(-0.479355\pi\)
−0.868493 + 0.495702i \(0.834911\pi\)
\(48\) 0.971902 0.0679620i 0.140282 0.00980948i
\(49\) −2.50910 + 4.34589i −0.358443 + 0.620841i
\(50\) 4.69545 1.26735i 0.664037 0.179231i
\(51\) −1.28925 0.469248i −0.180531 0.0657079i
\(52\) 2.01056 1.94157i 0.278814 0.269248i
\(53\) 0.935362 0.497341i 0.128482 0.0683150i −0.403986 0.914765i \(-0.632376\pi\)
0.532468 + 0.846450i \(0.321265\pi\)
\(54\) −3.31893 4.24803i −0.451649 0.578084i
\(55\) −4.01764 + 10.7757i −0.541739 + 1.45300i
\(56\) −3.18221 + 9.79383i −0.425241 + 1.30876i
\(57\) −5.43009 + 0.180751i −0.719233 + 0.0239410i
\(58\) −2.33762 + 7.19445i −0.306944 + 0.944677i
\(59\) −6.78986 0.474793i −0.883964 0.0618128i −0.379446 0.925214i \(-0.623885\pi\)
−0.504518 + 0.863401i \(0.668330\pi\)
\(60\) −2.73188 + 1.07900i −0.352684 + 0.139299i
\(61\) −2.13863 + 4.38485i −0.273824 + 0.561422i −0.990746 0.135731i \(-0.956662\pi\)
0.716922 + 0.697154i \(0.245550\pi\)
\(62\) −3.43279 7.03826i −0.435965 0.893860i
\(63\) 4.82000 1.38211i 0.607263 0.174130i
\(64\) −0.690149 + 6.56633i −0.0862686 + 0.820791i
\(65\) 2.82497 5.21432i 0.350394 0.646756i
\(66\) −1.50851 + 6.05030i −0.185685 + 0.744740i
\(67\) 1.95407 + 4.83648i 0.238727 + 0.590871i 0.998220 0.0596456i \(-0.0189971\pi\)
−0.759492 + 0.650516i \(0.774553\pi\)
\(68\) 0.580008 1.00460i 0.0703363 0.121826i
\(69\) −1.43358 + 0.304718i −0.172583 + 0.0366837i
\(70\) −0.0589032 + 7.53995i −0.00704027 + 0.901197i
\(71\) −2.28218 + 0.320740i −0.270845 + 0.0380648i −0.273288 0.961932i \(-0.588111\pi\)
0.00244298 + 0.999997i \(0.499222\pi\)
\(72\) 3.79356 2.01707i 0.447076 0.237714i
\(73\) 6.64413 + 1.90517i 0.777637 + 0.222984i 0.640901 0.767624i \(-0.278561\pi\)
0.136736 + 0.990608i \(0.456339\pi\)
\(74\) 4.20123 + 3.52525i 0.488383 + 0.409802i
\(75\) −4.83614 + 3.93090i −0.558429 + 0.453901i
\(76\) 0.646740 4.54793i 0.0741861 0.521683i
\(77\) −14.4245 10.4800i −1.64383 1.19431i
\(78\) 1.20454 2.98134i 0.136387 0.337571i
\(79\) −2.59825 3.32561i −0.292326 0.374160i 0.619318 0.785140i \(-0.287409\pi\)
−0.911645 + 0.410980i \(0.865187\pi\)
\(80\) 0.350025 + 1.71241i 0.0391340 + 0.191453i
\(81\) 2.26809 + 1.20597i 0.252010 + 0.133996i
\(82\) −8.60882 3.13335i −0.950685 0.346021i
\(83\) −6.16926 + 1.31132i −0.677164 + 0.143936i −0.533641 0.845711i \(-0.679177\pi\)
−0.143523 + 0.989647i \(0.545843\pi\)
\(84\) −0.476002 4.52886i −0.0519361 0.494139i
\(85\) 0.530525 2.40345i 0.0575436 0.260690i
\(86\) 6.35603 0.444457i 0.685389 0.0479271i
\(87\) −1.01326 9.64049i −0.108632 1.03357i
\(88\) −13.9567 6.21391i −1.48779 0.662405i
\(89\) −2.49167 3.69405i −0.264116 0.391569i 0.673530 0.739160i \(-0.264777\pi\)
−0.937646 + 0.347591i \(0.887000\pi\)
\(90\) 2.20295 2.24585i 0.232212 0.236733i
\(91\) 6.61382 + 6.38689i 0.693316 + 0.669528i
\(92\) −0.0432465 1.23842i −0.00450876 0.129114i
\(93\) 7.68693 + 6.45010i 0.797097 + 0.668844i
\(94\) 1.95286 6.01029i 0.201422 0.619914i
\(95\) −1.60179 9.61427i −0.164340 0.986404i
\(96\) −1.99544 6.14132i −0.203658 0.626796i
\(97\) −4.88431 + 12.0891i −0.495927 + 1.22746i 0.447022 + 0.894523i \(0.352485\pi\)
−0.942949 + 0.332938i \(0.891960\pi\)
\(98\) −4.69209 1.34544i −0.473973 0.135910i
\(99\) 1.29176 + 7.32592i 0.129827 + 0.736283i
\(100\) −2.56304 4.60396i −0.256304 0.460396i
\(101\) −2.40242 0.874411i −0.239050 0.0870071i 0.219717 0.975564i \(-0.429487\pi\)
−0.458767 + 0.888557i \(0.651709\pi\)
\(102\) 0.139496 1.32722i 0.0138122 0.131414i
\(103\) −3.49366 0.742600i −0.344240 0.0731706i 0.0325473 0.999470i \(-0.489638\pi\)
−0.376788 + 0.926300i \(0.622971\pi\)
\(104\) 6.68106 + 4.17479i 0.655132 + 0.409372i
\(105\) −3.86089 8.85728i −0.376784 0.864382i
\(106\) 0.689498 + 0.765765i 0.0669700 + 0.0743777i
\(107\) 7.56451 + 13.1021i 0.731289 + 1.26663i 0.956333 + 0.292281i \(0.0944141\pi\)
−0.225044 + 0.974349i \(0.572253\pi\)
\(108\) −3.59587 + 4.60251i −0.346013 + 0.442877i
\(109\) −3.78907 7.76875i −0.362927 0.744111i 0.636708 0.771105i \(-0.280296\pi\)
−0.999636 + 0.0269935i \(0.991407\pi\)
\(110\) −11.1156 1.25616i −1.05983 0.119770i
\(111\) −6.75551 1.93711i −0.641204 0.183862i
\(112\) −2.70316 0.189023i −0.255425 0.0178610i
\(113\) −8.80767 + 6.39914i −0.828555 + 0.601981i −0.919150 0.393907i \(-0.871123\pi\)
0.0905948 + 0.995888i \(0.471123\pi\)
\(114\) −1.44838 5.08240i −0.135653 0.476010i
\(115\) −0.879931 2.47764i −0.0820540 0.231041i
\(116\) 8.17596 + 0.571719i 0.759119 + 0.0530828i
\(117\) −0.133876 3.83371i −0.0123769 0.354427i
\(118\) −1.14965 6.52001i −0.105834 0.600216i
\(119\) 3.36926 + 1.79147i 0.308860 + 0.164224i
\(120\) −4.81385 6.73573i −0.439443 0.614885i
\(121\) 10.3390 11.4827i 0.939913 1.04388i
\(122\) −4.64169 0.986621i −0.420239 0.0893245i
\(123\) 11.7110 0.818910i 1.05594 0.0738386i
\(124\) −6.49929 + 5.45355i −0.583654 + 0.489743i
\(125\) −8.13102 7.67376i −0.727260 0.686362i
\(126\) 2.43867 + 4.22390i 0.217254 + 0.376295i
\(127\) 6.08133 + 9.01594i 0.539631 + 0.800036i 0.995962 0.0897743i \(-0.0286146\pi\)
−0.456331 + 0.889810i \(0.650837\pi\)
\(128\) 3.90075 0.548215i 0.344781 0.0484558i
\(129\) −7.20898 + 3.83308i −0.634716 + 0.337484i
\(130\) 5.58605 + 1.43920i 0.489929 + 0.126226i
\(131\) −8.29098 + 5.18078i −0.724386 + 0.452647i −0.841351 0.540489i \(-0.818239\pi\)
0.116965 + 0.993136i \(0.462684\pi\)
\(132\) 6.75584 0.588021
\(133\) 15.0257 + 1.60407i 1.30290 + 0.139090i
\(134\) −4.10486 + 2.98236i −0.354606 + 0.257636i
\(135\) −4.32937 + 11.6118i −0.372613 + 0.999384i
\(136\) 3.14303 + 0.901249i 0.269512 + 0.0772815i
\(137\) −7.71467 7.44997i −0.659109 0.636494i 0.287916 0.957656i \(-0.407038\pi\)
−0.947024 + 0.321162i \(0.895927\pi\)
\(138\) −0.624940 1.28132i −0.0531984 0.109073i
\(139\) −10.0987 14.9719i −0.856558 1.26990i −0.961329 0.275403i \(-0.911189\pi\)
0.104771 0.994496i \(-0.466589\pi\)
\(140\) 7.94191 1.91437i 0.671214 0.161794i
\(141\) 0.846481 + 8.05373i 0.0712866 + 0.678246i
\(142\) −0.839750 2.07845i −0.0704703 0.174420i
\(143\) −10.4491 + 8.76780i −0.873794 + 0.733200i
\(144\) 0.756498 + 0.840177i 0.0630415 + 0.0700147i
\(145\) 16.9058 4.07507i 1.40395 0.338416i
\(146\) −0.234635 + 6.71907i −0.0194185 + 0.556074i
\(147\) 6.19401 0.870511i 0.510873 0.0717985i
\(148\) 2.60478 5.34060i 0.214112 0.438994i
\(149\) −22.5293 + 8.19998i −1.84567 + 0.671769i −0.858341 + 0.513079i \(0.828505\pi\)
−0.987328 + 0.158690i \(0.949273\pi\)
\(150\) −4.84802 3.63936i −0.395839 0.297152i
\(151\) −3.87523 −0.315361 −0.157681 0.987490i \(-0.550402\pi\)
−0.157681 + 0.987490i \(0.550402\pi\)
\(152\) 12.8793 1.33242i 1.04465 0.108074i
\(153\) −0.491981 1.51416i −0.0397743 0.122413i
\(154\) 6.49676 16.0801i 0.523524 1.29577i
\(155\) −9.65840 + 15.1913i −0.775782 + 1.22019i
\(156\) −3.44990 0.484851i −0.276213 0.0388192i
\(157\) 1.05167 5.96430i 0.0839322 0.476003i −0.913650 0.406502i \(-0.866748\pi\)
0.997582 0.0695007i \(-0.0221406\pi\)
\(158\) 2.52731 3.23481i 0.201062 0.257347i
\(159\) −1.20627 0.537068i −0.0956637 0.0425922i
\(160\) 10.4512 4.99673i 0.826244 0.395026i
\(161\) 4.06639 0.284349i 0.320476 0.0224099i
\(162\) −0.604475 + 2.42442i −0.0474920 + 0.190480i
\(163\) 2.28889 + 21.7773i 0.179280 + 1.70573i 0.601199 + 0.799099i \(0.294690\pi\)
−0.421919 + 0.906633i \(0.638643\pi\)
\(164\) −1.03753 + 9.87141i −0.0810173 + 0.770828i
\(165\) 13.6670 4.32295i 1.06398 0.336541i
\(166\) −2.68935 5.51399i −0.208734 0.427968i
\(167\) −13.6203 1.91420i −1.05397 0.148125i −0.409154 0.912466i \(-0.634176\pi\)
−0.644813 + 0.764340i \(0.723065\pi\)
\(168\) 12.0615 4.39004i 0.930568 0.338699i
\(169\) −5.05953 + 3.16155i −0.389195 + 0.243196i
\(170\) 2.39322 0.0648592i 0.183552 0.00497448i
\(171\) −4.04468 4.83627i −0.309304 0.369839i
\(172\) −2.13322 6.56536i −0.162656 0.500604i
\(173\) 4.95323 + 19.8663i 0.376587 + 1.51041i 0.797506 + 0.603311i \(0.206152\pi\)
−0.420919 + 0.907098i \(0.638292\pi\)
\(174\) 8.86028 3.22488i 0.671696 0.244477i
\(175\) 14.8415 8.95465i 1.12191 0.676908i
\(176\) 0.698082 3.95902i 0.0526199 0.298422i
\(177\) 4.74408 + 7.03339i 0.356587 + 0.528662i
\(178\) 2.90013 3.22092i 0.217374 0.241418i
\(179\) 9.22882 + 1.96165i 0.689795 + 0.146620i 0.539456 0.842014i \(-0.318630\pi\)
0.150339 + 0.988634i \(0.451963\pi\)
\(180\) −2.93839 1.72722i −0.219015 0.128740i
\(181\) 0.496277 + 1.22833i 0.0368880 + 0.0913009i 0.944503 0.328502i \(-0.106544\pi\)
−0.907615 + 0.419803i \(0.862099\pi\)
\(182\) −4.47162 + 7.74508i −0.331459 + 0.574103i
\(183\) 5.94798 1.26428i 0.439687 0.0934585i
\(184\) 3.35750 0.962749i 0.247518 0.0709748i
\(185\) 1.85211 12.4708i 0.136170 0.916869i
\(186\) −4.27876 + 8.77275i −0.313734 + 0.643250i
\(187\) −3.16568 + 4.69331i −0.231497 + 0.343209i
\(188\) −6.83025 0.477618i −0.498147 0.0348339i
\(189\) −15.5438 11.2932i −1.13064 0.821459i
\(190\) 8.69705 3.77417i 0.630950 0.273807i
\(191\) 15.9587 11.5947i 1.15473 0.838960i 0.165626 0.986189i \(-0.447035\pi\)
0.989102 + 0.147229i \(0.0470355\pi\)
\(192\) 6.97910 4.36103i 0.503673 0.314730i
\(193\) 2.58406 0.940521i 0.186005 0.0677002i −0.247339 0.968929i \(-0.579556\pi\)
0.433343 + 0.901229i \(0.357334\pi\)
\(194\) −12.5591 1.76506i −0.901689 0.126724i
\(195\) −7.28937 + 1.22668i −0.522003 + 0.0878442i
\(196\) −0.184566 + 5.28527i −0.0131833 + 0.377520i
\(197\) 7.65039 8.49662i 0.545068 0.605359i −0.406178 0.913794i \(-0.633139\pi\)
0.951245 + 0.308435i \(0.0998053\pi\)
\(198\) −6.61025 + 2.94307i −0.469770 + 0.209155i
\(199\) 9.11252 7.64631i 0.645969 0.542032i −0.259876 0.965642i \(-0.583682\pi\)
0.905845 + 0.423610i \(0.139237\pi\)
\(200\) 10.8438 10.1492i 0.766773 0.717654i
\(201\) 3.25091 5.63074i 0.229301 0.397162i
\(202\) 0.259941 2.47318i 0.0182894 0.174012i
\(203\) −0.940920 + 26.9444i −0.0660397 + 1.89113i
\(204\) −1.43182 + 0.201229i −0.100247 + 0.0140888i
\(205\) 4.21764 + 20.6337i 0.294572 + 1.44112i
\(206\) −0.121247 3.47207i −0.00844771 0.241911i
\(207\) −1.30283 1.09321i −0.0905530 0.0759830i
\(208\) −0.640607 + 1.97159i −0.0444181 + 0.136705i
\(209\) −4.69680 + 21.9207i −0.324884 + 1.51629i
\(210\) 7.45099 5.72818i 0.514167 0.395282i
\(211\) 0.905493 + 3.63174i 0.0623367 + 0.250019i 0.993378 0.114896i \(-0.0366535\pi\)
−0.931041 + 0.364915i \(0.881098\pi\)
\(212\) 0.624296 0.925557i 0.0428768 0.0635675i
\(213\) 2.06634 + 1.99544i 0.141583 + 0.136726i
\(214\) −10.5858 + 10.2225i −0.723627 + 0.698799i
\(215\) −8.51655 11.9167i −0.580824 0.812712i
\(216\) −15.0396 6.69605i −1.02331 0.455608i
\(217\) −18.6749 20.7406i −1.26774 1.40796i
\(218\) 6.44054 5.40425i 0.436208 0.366022i
\(219\) −3.22733 7.98791i −0.218082 0.539773i
\(220\) 1.59294 + 12.0146i 0.107396 + 0.810025i
\(221\) 1.95339 2.16946i 0.131399 0.145934i
\(222\) 0.238568 6.83170i 0.0160117 0.458514i
\(223\) 3.95062 3.81507i 0.264553 0.255476i −0.550536 0.834811i \(-0.685577\pi\)
0.815089 + 0.579335i \(0.196688\pi\)
\(224\) 3.11871 + 17.6871i 0.208377 + 1.18177i
\(225\) −7.04957 1.61394i −0.469971 0.107596i
\(226\) −8.11212 6.80687i −0.539610 0.452787i
\(227\) 12.8307 + 9.32205i 0.851604 + 0.618726i 0.925588 0.378533i \(-0.123571\pi\)
−0.0739839 + 0.997259i \(0.523571\pi\)
\(228\) −4.96330 + 2.85477i −0.328703 + 0.189062i
\(229\) −5.94364 18.2926i −0.392767 1.20881i −0.930687 0.365816i \(-0.880790\pi\)
0.537921 0.842995i \(-0.319210\pi\)
\(230\) 2.13134 1.41351i 0.140537 0.0932042i
\(231\) 0.775594 + 22.2101i 0.0510303 + 1.46132i
\(232\) 4.01154 + 22.7506i 0.263370 + 1.49365i
\(233\) −17.4156 9.26003i −1.14093 0.606645i −0.212138 0.977240i \(-0.568043\pi\)
−0.928795 + 0.370595i \(0.879154\pi\)
\(234\) 3.58677 1.02849i 0.234474 0.0672344i
\(235\) −14.1232 + 3.40434i −0.921296 + 0.222075i
\(236\) −6.55291 + 2.91754i −0.426558 + 0.189916i
\(237\) −1.27258 + 5.10404i −0.0826630 + 0.331543i
\(238\) −0.897950 + 3.60148i −0.0582054 + 0.233449i
\(239\) 24.9509 11.1089i 1.61394 0.718572i 0.616317 0.787498i \(-0.288624\pi\)
0.997622 + 0.0689262i \(0.0219573\pi\)
\(240\) 1.41334 1.65787i 0.0912305 0.107015i
\(241\) 11.1324 3.19215i 0.717098 0.205625i 0.102804 0.994702i \(-0.467219\pi\)
0.614294 + 0.789077i \(0.289441\pi\)
\(242\) 13.2703 + 7.05596i 0.853049 + 0.453574i
\(243\) 2.33116 + 13.2207i 0.149544 + 0.848108i
\(244\) 0.179431 + 5.13823i 0.0114869 + 0.328942i
\(245\) 3.00858 + 10.8102i 0.192211 + 0.690638i
\(246\) 3.52867 + 10.8601i 0.224980 + 0.692417i
\(247\) 3.97163 10.8568i 0.252709 0.690802i
\(248\) −19.3469 14.0564i −1.22853 0.892580i
\(249\) 6.02217 + 5.05320i 0.381640 + 0.320234i
\(250\) 5.32915 9.47984i 0.337045 0.599558i
\(251\) 3.74128 + 21.2179i 0.236148 + 1.33926i 0.840183 + 0.542303i \(0.182447\pi\)
−0.604035 + 0.796958i \(0.706441\pi\)
\(252\) 3.80123 3.67080i 0.239455 0.231239i
\(253\) −0.211053 + 6.04378i −0.0132688 + 0.379969i
\(254\) −7.07824 + 7.86118i −0.444128 + 0.493254i
\(255\) −2.76780 + 1.32328i −0.173326 + 0.0828671i
\(256\) 6.38199 + 15.7960i 0.398875 + 0.987249i
\(257\) 10.5281 8.83415i 0.656727 0.551059i −0.252377 0.967629i \(-0.581212\pi\)
0.909104 + 0.416570i \(0.136768\pi\)
\(258\) −5.31407 5.90187i −0.330839 0.367434i
\(259\) 17.8565 + 7.95021i 1.10955 + 0.494002i
\(260\) 0.0488230 6.24963i 0.00302787 0.387585i
\(261\) 8.09159 7.81396i 0.500857 0.483672i
\(262\) −6.84063 6.60592i −0.422616 0.408115i
\(263\) −5.16206 + 7.65307i −0.318306 + 0.471909i −0.953904 0.300112i \(-0.902976\pi\)
0.635598 + 0.772021i \(0.280754\pi\)
\(264\) 4.60678 + 18.4768i 0.283528 + 1.13717i
\(265\) 0.670700 2.27187i 0.0412008 0.139560i
\(266\) 2.02188 + 14.5588i 0.123970 + 0.892657i
\(267\) −1.71626 + 5.28209i −0.105033 + 0.323259i
\(268\) 4.21116 + 3.53358i 0.257238 + 0.215848i
\(269\) −0.606079 17.3558i −0.0369533 1.05820i −0.866317 0.499495i \(-0.833519\pi\)
0.829363 0.558709i \(-0.188703\pi\)
\(270\) −11.9780 1.35363i −0.728959 0.0823790i
\(271\) 8.77195 1.23282i 0.532858 0.0748883i 0.132388 0.991198i \(-0.457736\pi\)
0.400470 + 0.916310i \(0.368847\pi\)
\(272\) −0.0300269 + 0.859858i −0.00182065 + 0.0521365i
\(273\) 1.19791 11.3973i 0.0725007 0.689798i
\(274\) 5.21591 9.03423i 0.315105 0.545778i
\(275\) 10.9105 + 23.2862i 0.657925 + 1.40421i
\(276\) −1.18320 + 0.992820i −0.0712201 + 0.0597607i
\(277\) −2.81581 + 1.25368i −0.169186 + 0.0753263i −0.489582 0.871957i \(-0.662851\pi\)
0.320396 + 0.947284i \(0.396184\pi\)
\(278\) 11.7541 13.0543i 0.704966 0.782944i
\(279\) −0.406381 + 11.6372i −0.0243294 + 0.696702i
\(280\) 10.6512 + 20.4152i 0.636532 + 1.22004i
\(281\) −2.74880 0.386319i −0.163980 0.0230458i 0.0567055 0.998391i \(-0.481940\pi\)
−0.220685 + 0.975345i \(0.570829\pi\)
\(282\) −7.40194 + 2.69409i −0.440779 + 0.160430i
\(283\) 22.5679 14.1020i 1.34152 0.838277i 0.346513 0.938045i \(-0.387366\pi\)
0.995011 + 0.0997685i \(0.0318102\pi\)
\(284\) −1.96489 + 1.42758i −0.116595 + 0.0847113i
\(285\) −8.21402 + 8.95113i −0.486556 + 0.530219i
\(286\) −10.7339 7.79864i −0.634709 0.461143i
\(287\) −32.5718 2.27764i −1.92265 0.134445i
\(288\) 4.19018 6.21219i 0.246908 0.366057i
\(289\) −6.92118 + 14.1905i −0.407128 + 0.834736i
\(290\) 7.82427 + 14.9968i 0.459457 + 0.880641i
\(291\) 15.6221 4.47957i 0.915785 0.262597i
\(292\) 7.12500 1.51447i 0.416959 0.0886274i
\(293\) −0.0696395 + 0.120619i −0.00406838 + 0.00704665i −0.868052 0.496473i \(-0.834628\pi\)
0.863984 + 0.503519i \(0.167962\pi\)
\(294\) 2.27914 + 5.64107i 0.132922 + 0.328994i
\(295\) −11.3896 + 10.0953i −0.663129 + 0.587770i
\(296\) 16.3824 + 3.48218i 0.952206 + 0.202398i
\(297\) 19.0728 21.1825i 1.10672 1.22913i
\(298\) −13.0407 19.3336i −0.755426 1.11997i
\(299\) 0.541523 3.07113i 0.0313171 0.177608i
\(300\) −2.55521 + 6.05044i −0.147525 + 0.349323i
\(301\) 21.3390 7.76676i 1.22996 0.447668i
\(302\) −0.911904 3.65745i −0.0524742 0.210463i
\(303\) 0.984729 + 3.03069i 0.0565712 + 0.174108i
\(304\) 1.16008 + 3.20355i 0.0665351 + 0.183736i
\(305\) 3.65086 + 10.2798i 0.209047 + 0.588620i
\(306\) 1.31330 0.820640i 0.0750763 0.0469129i
\(307\) 23.0553 8.39145i 1.31584 0.478925i 0.413715 0.910407i \(-0.364231\pi\)
0.902122 + 0.431481i \(0.142009\pi\)
\(308\) −18.6072 2.61507i −1.06024 0.149008i
\(309\) 1.95159 + 4.00135i 0.111022 + 0.227629i
\(310\) −16.6104 5.54086i −0.943406 0.314700i
\(311\) 3.38417 32.1982i 0.191899 1.82579i −0.298630 0.954369i \(-0.596530\pi\)
0.490529 0.871425i \(-0.336804\pi\)
\(312\) −1.02643 9.76585i −0.0581103 0.552882i
\(313\) 7.95470 31.9046i 0.449626 1.80335i −0.133592 0.991036i \(-0.542651\pi\)
0.583218 0.812316i \(-0.301793\pi\)
\(314\) 5.87660 0.410932i 0.331636 0.0231902i
\(315\) 5.34098 9.85836i 0.300930 0.555456i
\(316\) −4.06306 1.80899i −0.228565 0.101764i
\(317\) −4.32140 + 5.53113i −0.242714 + 0.310659i −0.893907 0.448253i \(-0.852047\pi\)
0.651193 + 0.758912i \(0.274269\pi\)
\(318\) 0.223030 1.26487i 0.0125069 0.0709301i
\(319\) −39.6088 5.56665i −2.21767 0.311673i
\(320\) 9.40124 + 11.3834i 0.525545 + 0.636351i
\(321\) 7.06410 17.4843i 0.394280 0.975876i
\(322\) 1.22526 + 3.77095i 0.0682809 + 0.210147i
\(323\) 0.342500 4.78572i 0.0190572 0.266285i
\(324\) 2.70714 0.150396
\(325\) −3.90026 12.6742i −0.216348 0.703039i
\(326\) −20.0149 + 7.28483i −1.10852 + 0.403469i
\(327\) −4.72284 + 9.68327i −0.261174 + 0.535486i
\(328\) −27.7051 + 3.89370i −1.52976 + 0.214994i
\(329\) 0.786051 22.5096i 0.0433364 1.24099i
\(330\) 7.29609 + 11.8817i 0.401637 + 0.654068i
\(331\) −18.7787 20.8559i −1.03217 1.14634i −0.989096 0.147272i \(-0.952951\pi\)
−0.0430761 0.999072i \(-0.513716\pi\)
\(332\) −5.09174 + 4.27248i −0.279446 + 0.234483i
\(333\) −3.05497 7.56132i −0.167411 0.414358i
\(334\) −1.39844 13.3053i −0.0765193 0.728032i
\(335\) 10.7802 + 4.45378i 0.588988 + 0.243336i
\(336\) 1.88870 + 2.80011i 0.103037 + 0.152759i
\(337\) 6.35789 + 13.0356i 0.346337 + 0.710095i 0.998863 0.0476707i \(-0.0151798\pi\)
−0.652527 + 0.757766i \(0.726291\pi\)
\(338\) −4.17447 4.03124i −0.227061 0.219270i
\(339\) 13.0441 + 3.74035i 0.708461 + 0.203148i
\(340\) −0.695469 2.49890i −0.0377171 0.135522i
\(341\) 33.4973 24.3372i 1.81398 1.31794i
\(342\) 3.61270 4.95543i 0.195353 0.267959i
\(343\) 6.87036 0.370964
\(344\) 16.5012 10.3111i 0.889685 0.555937i
\(345\) −1.75831 + 2.76558i −0.0946644 + 0.148894i
\(346\) −17.5843 + 9.34975i −0.945339 + 0.502645i
\(347\) 24.7999 3.48540i 1.33133 0.187106i 0.562625 0.826712i \(-0.309791\pi\)
0.768703 + 0.639606i \(0.220903\pi\)
\(348\) −5.71255 8.46921i −0.306225 0.453997i
\(349\) 15.2284 + 26.3764i 0.815158 + 1.41189i 0.909214 + 0.416328i \(0.136683\pi\)
−0.0940566 + 0.995567i \(0.529983\pi\)
\(350\) 11.9439 + 11.9002i 0.638426 + 0.636095i
\(351\) −11.2598 + 9.44810i −0.601004 + 0.504302i
\(352\) −26.5797 + 1.85863i −1.41670 + 0.0990655i
\(353\) 0.509052 + 0.108202i 0.0270941 + 0.00575903i 0.221439 0.975174i \(-0.428925\pi\)
−0.194345 + 0.980933i \(0.562258\pi\)
\(354\) −5.52177 + 6.13255i −0.293479 + 0.325941i
\(355\) −3.06149 + 4.14529i −0.162487 + 0.220009i
\(356\) −4.14618 2.20456i −0.219747 0.116842i
\(357\) −0.825925 4.68406i −0.0437126 0.247907i
\(358\) 0.320286 + 9.17180i 0.0169277 + 0.484744i
\(359\) −14.5259 1.01575i −0.766646 0.0536091i −0.318922 0.947781i \(-0.603321\pi\)
−0.447724 + 0.894172i \(0.647765\pi\)
\(360\) 2.72017 9.21408i 0.143366 0.485625i
\(361\) −5.81231 18.0891i −0.305911 0.952060i
\(362\) −1.04252 + 0.757433i −0.0547935 + 0.0398098i
\(363\) −19.2124 1.34346i −1.00839 0.0705134i
\(364\) 9.31416 + 2.67079i 0.488195 + 0.139988i
\(365\) 13.4448 7.62293i 0.703731 0.399002i
\(366\) 2.59289 + 5.31621i 0.135533 + 0.277883i
\(367\) 2.74130 3.50870i 0.143094 0.183153i −0.711124 0.703066i \(-0.751814\pi\)
0.854219 + 0.519914i \(0.174036\pi\)
\(368\) 0.459546 + 0.795958i 0.0239555 + 0.0414922i
\(369\) 9.11544 + 10.1237i 0.474531 + 0.527020i
\(370\) 12.2058 1.18655i 0.634548 0.0616858i
\(371\) 3.11448 + 1.94614i 0.161696 + 0.101039i
\(372\) 10.3440 + 2.19868i 0.536310 + 0.113996i
\(373\) 1.51512 14.4154i 0.0784498 0.746400i −0.882619 0.470090i \(-0.844222\pi\)
0.961068 0.276310i \(-0.0891118\pi\)
\(374\) −5.17449 1.88336i −0.267567 0.0973863i
\(375\) −1.29760 + 13.8751i −0.0670078 + 0.716505i
\(376\) −3.35127 19.0060i −0.172828 0.980158i
\(377\) 19.8269 + 5.68526i 1.02114 + 0.292806i
\(378\) 7.00085 17.3277i 0.360085 0.891241i
\(379\) 3.96395 + 12.1998i 0.203614 + 0.626661i 0.999767 + 0.0215655i \(0.00686503\pi\)
−0.796153 + 0.605095i \(0.793135\pi\)
\(380\) −6.24722 8.15364i −0.320476 0.418273i
\(381\) 4.18880 12.8918i 0.214599 0.660468i
\(382\) 14.6984 + 12.3334i 0.752036 + 0.631033i
\(383\) −0.779746 22.3290i −0.0398431 1.14096i −0.840492 0.541824i \(-0.817734\pi\)
0.800649 0.599134i \(-0.204488\pi\)
\(384\) −3.53183 3.41065i −0.180233 0.174049i
\(385\) −39.3157 + 6.61616i −2.00371 + 0.337191i
\(386\) 1.49574 + 2.21752i 0.0761310 + 0.112869i
\(387\) −8.65535 3.85361i −0.439976 0.195890i
\(388\) 1.43630 + 13.6655i 0.0729173 + 0.693762i
\(389\) 22.0049 1.53874i 1.11569 0.0780170i 0.500017 0.866015i \(-0.333327\pi\)
0.615677 + 0.787998i \(0.288882\pi\)
\(390\) −2.87305 6.59107i −0.145483 0.333752i
\(391\) −0.135289 1.28719i −0.00684187 0.0650960i
\(392\) −14.5807 + 3.09923i −0.736438 + 0.156535i
\(393\) 11.4510 + 4.16781i 0.577624 + 0.210238i
\(394\) 9.81939 + 5.22106i 0.494694 + 0.263033i
\(395\) −9.37710 1.05970i −0.471813 0.0533192i
\(396\) 4.82655 + 6.17770i 0.242543 + 0.310441i
\(397\) −1.47900 + 3.66066i −0.0742291 + 0.183724i −0.959737 0.280902i \(-0.909367\pi\)
0.885507 + 0.464625i \(0.153811\pi\)
\(398\) 9.36093 + 6.80111i 0.469221 + 0.340909i
\(399\) −9.95499 15.9893i −0.498373 0.800467i
\(400\) 3.28161 + 2.12258i 0.164081 + 0.106129i
\(401\) −15.5637 13.0595i −0.777217 0.652162i 0.165329 0.986238i \(-0.447131\pi\)
−0.942546 + 0.334076i \(0.891576\pi\)
\(402\) 6.07930 + 1.74321i 0.303208 + 0.0869434i
\(403\) −18.8522 + 10.0239i −0.939093 + 0.499325i
\(404\) −2.66809 + 0.374976i −0.132742 + 0.0186557i
\(405\) 5.47653 1.73225i 0.272131 0.0860762i
\(406\) −25.6516 + 5.45242i −1.27307 + 0.270599i
\(407\) −14.4991 + 25.1131i −0.718693 + 1.24481i
\(408\) −1.52670 3.77871i −0.0755828 0.187074i
\(409\) −7.85775 + 31.5157i −0.388541 + 1.55835i 0.383967 + 0.923347i \(0.374558\pi\)
−0.772508 + 0.635005i \(0.780998\pi\)
\(410\) −18.4817 + 8.83607i −0.912745 + 0.436382i
\(411\) −1.39730 + 13.2944i −0.0689236 + 0.655764i
\(412\) −3.61828 + 1.03752i −0.178260 + 0.0511151i
\(413\) −10.3438 21.2080i −0.508987 1.04358i
\(414\) 0.725192 1.48686i 0.0356413 0.0730754i
\(415\) −7.56669 + 11.9013i −0.371434 + 0.584213i
\(416\) 13.7064 + 0.958446i 0.672012 + 0.0469917i
\(417\) −6.95593 + 21.4082i −0.340634 + 1.04836i
\(418\) −21.7941 + 0.725457i −1.06598 + 0.0354832i
\(419\) −3.21043 + 9.88068i −0.156840 + 0.482703i −0.998343 0.0575497i \(-0.981671\pi\)
0.841503 + 0.540252i \(0.181671\pi\)
\(420\) −7.97480 6.33154i −0.389130 0.308947i
\(421\) 6.20274 + 7.93914i 0.302303 + 0.386930i 0.915044 0.403353i \(-0.132155\pi\)
−0.612741 + 0.790284i \(0.709933\pi\)
\(422\) −3.21456 + 1.70921i −0.156483 + 0.0832033i
\(423\) −6.75977 + 6.52784i −0.328671 + 0.317394i
\(424\) 2.95704 + 1.07627i 0.143607 + 0.0522685i
\(425\) −3.00594 4.61025i −0.145809 0.223630i
\(426\) −1.39706 + 2.41978i −0.0676878 + 0.117239i
\(427\) −16.8716 + 1.17977i −0.816472 + 0.0570933i
\(428\) 13.5212 + 8.44898i 0.653572 + 0.408397i
\(429\) 16.6302 + 3.53487i 0.802915 + 0.170665i
\(430\) 9.24292 10.8421i 0.445733 0.522854i
\(431\) −17.1467 + 21.9468i −0.825929 + 1.05714i 0.171479 + 0.985188i \(0.445146\pi\)
−0.997408 + 0.0719535i \(0.977077\pi\)
\(432\) 0.752246 4.26620i 0.0361924 0.205258i
\(433\) 0.383095 + 0.0538405i 0.0184104 + 0.00258741i 0.148372 0.988932i \(-0.452597\pi\)
−0.129962 + 0.991519i \(0.541486\pi\)
\(434\) 15.1805 22.5060i 0.728688 1.08032i
\(435\) −16.9758 13.4778i −0.813926 0.646212i
\(436\) −7.36941 5.35419i −0.352931 0.256419i
\(437\) −2.39883 4.52935i −0.114751 0.216668i
\(438\) 6.77957 4.92564i 0.323940 0.235356i
\(439\) −5.25411 21.0731i −0.250765 1.00576i −0.955192 0.295987i \(-0.904352\pi\)
0.704427 0.709776i \(-0.251204\pi\)
\(440\) −31.7730 + 12.5493i −1.51472 + 0.598264i
\(441\) 5.22117 + 5.04203i 0.248627 + 0.240097i
\(442\) 2.50721 + 1.33311i 0.119256 + 0.0634094i
\(443\) 6.00921 + 2.18718i 0.285506 + 0.103916i 0.480804 0.876828i \(-0.340345\pi\)
−0.195297 + 0.980744i \(0.562567\pi\)
\(444\) −7.24444 + 1.53985i −0.343806 + 0.0730782i
\(445\) −9.79836 1.80675i −0.464487 0.0856482i
\(446\) 4.53032 + 2.83086i 0.214517 + 0.134045i
\(447\) 25.3427 + 15.8359i 1.19867 + 0.749011i
\(448\) −20.9102 + 9.30982i −0.987914 + 0.439848i
\(449\) −14.3302 24.8206i −0.676282 1.17136i −0.976092 0.217356i \(-0.930257\pi\)
0.299810 0.953999i \(-0.403077\pi\)
\(450\) −0.135635 7.03319i −0.00639390 0.331548i
\(451\) 8.41155 47.7043i 0.396084 2.24631i
\(452\) −5.02955 + 10.3121i −0.236570 + 0.485041i
\(453\) 2.97379 + 3.80627i 0.139721 + 0.178834i
\(454\) −5.77890 + 14.3033i −0.271217 + 0.671287i
\(455\) 20.5515 0.556971i 0.963469 0.0261112i
\(456\) −11.1921 11.6276i −0.524117 0.544514i
\(457\) −13.6106 −0.636676 −0.318338 0.947977i \(-0.603125\pi\)
−0.318338 + 0.947977i \(0.603125\pi\)
\(458\) 15.8660 9.91418i 0.741369 0.463259i
\(459\) −3.41130 + 5.05746i −0.159226 + 0.236062i
\(460\) −2.04462 1.87011i −0.0953307 0.0871942i
\(461\) −24.4166 + 23.5788i −1.13719 + 1.09817i −0.143092 + 0.989709i \(0.545704\pi\)
−0.994100 + 0.108464i \(0.965407\pi\)
\(462\) −20.7794 + 5.95841i −0.966747 + 0.277210i
\(463\) 9.02971 + 4.02029i 0.419646 + 0.186839i 0.605686 0.795704i \(-0.292899\pi\)
−0.186040 + 0.982542i \(0.559565\pi\)
\(464\) −5.55335 + 2.47251i −0.257808 + 0.114783i
\(465\) 22.3327 2.17101i 1.03565 0.100678i
\(466\) 4.64147 18.6159i 0.215012 0.862365i
\(467\) −4.71796 5.23982i −0.218321 0.242470i 0.624029 0.781402i \(-0.285495\pi\)
−0.842350 + 0.538931i \(0.818828\pi\)
\(468\) −2.02134 3.50106i −0.0934363 0.161836i
\(469\) −11.1333 + 14.2500i −0.514090 + 0.658005i
\(470\) −6.53645 12.5284i −0.301504 0.577892i
\(471\) −6.66521 + 3.54395i −0.307117 + 0.163297i
\(472\) −12.4477 15.9323i −0.572951 0.733344i
\(473\) 8.15020 + 32.6887i 0.374747 + 1.50303i
\(474\) −5.11667 −0.235016
\(475\) −17.8555 12.4973i −0.819265 0.573415i
\(476\) 4.02146 0.184323
\(477\) −0.370686 1.48674i −0.0169725 0.0680731i
\(478\) 16.3559 + 20.9346i 0.748102 + 0.957527i
\(479\) 13.1186 6.97531i 0.599406 0.318710i −0.141896 0.989882i \(-0.545320\pi\)
0.741302 + 0.671172i \(0.234209\pi\)
\(480\) −12.9279 6.43088i −0.590077 0.293528i
\(481\) 9.20632 11.7835i 0.419772 0.537284i
\(482\) 5.63239 + 9.75558i 0.256548 + 0.444355i
\(483\) −3.39977 3.77583i −0.154695 0.171806i
\(484\) 3.93939 15.8000i 0.179063 0.718183i
\(485\) 11.6500 + 26.7262i 0.528998 + 1.21358i
\(486\) −11.9292 + 5.31120i −0.541118 + 0.240921i
\(487\) −22.2856 9.92219i −1.00986 0.449618i −0.165966 0.986131i \(-0.553074\pi\)
−0.843891 + 0.536514i \(0.819741\pi\)
\(488\) −13.9304 + 3.99447i −0.630598 + 0.180821i
\(489\) 19.6334 18.9597i 0.887853 0.857389i
\(490\) −9.49472 + 5.38332i −0.428928 + 0.243194i
\(491\) 0.0529271 0.0784677i 0.00238857 0.00354120i −0.827841 0.560962i \(-0.810431\pi\)
0.830230 + 0.557421i \(0.188209\pi\)
\(492\) 10.4919 6.55610i 0.473014 0.295572i
\(493\) 8.56040 0.385541
\(494\) 11.1813 + 1.19365i 0.503070 + 0.0537050i
\(495\) 13.7171 + 9.40904i 0.616538 + 0.422905i
\(496\) 2.35730 5.83452i 0.105846 0.261978i
\(497\) −4.91880 6.29578i −0.220638 0.282404i
\(498\) −3.35211 + 6.87284i −0.150212 + 0.307979i
\(499\) 4.90413 27.8127i 0.219539 1.24507i −0.653316 0.757086i \(-0.726622\pi\)
0.872854 0.487981i \(-0.162266\pi\)
\(500\) −11.3626 3.11758i −0.508152 0.139422i
\(501\) 8.57182 + 14.8468i 0.382961 + 0.663307i
\(502\) −19.1451 + 8.52395i −0.854488 + 0.380442i
\(503\) −23.1930 14.4926i −1.03412 0.646192i −0.0970342 0.995281i \(-0.530936\pi\)
−0.937090 + 0.349089i \(0.886491\pi\)
\(504\) 12.6314 + 7.89300i 0.562649 + 0.351582i
\(505\) −5.15760 + 2.46584i −0.229510 + 0.109728i
\(506\) −5.75380 + 1.22301i −0.255787 + 0.0543693i
\(507\) 6.98790 + 2.54339i 0.310343 + 0.112956i
\(508\) 10.1194 + 5.38060i 0.448977 + 0.238725i
\(509\) −6.47219 6.25012i −0.286875 0.277032i 0.537271 0.843410i \(-0.319455\pi\)
−0.824146 + 0.566378i \(0.808344\pi\)
\(510\) −1.90022 2.30087i −0.0841434 0.101884i
\(511\) 5.79684 + 23.2499i 0.256437 + 1.02851i
\(512\) −7.03293 + 5.10973i −0.310815 + 0.225820i
\(513\) −5.06122 + 23.6216i −0.223458 + 1.04292i
\(514\) 10.8151 + 7.85766i 0.477035 + 0.346586i
\(515\) −6.65587 + 4.41418i −0.293292 + 0.194512i
\(516\) −4.81155 + 7.13341i −0.211817 + 0.314031i
\(517\) 33.0895 + 4.65042i 1.45527 + 0.204525i
\(518\) −3.30151 + 18.7238i −0.145060 + 0.822676i
\(519\) 15.7118 20.1102i 0.689672 0.882740i
\(520\) 17.1256 4.12806i 0.751007 0.181028i
\(521\) −12.7433 2.70868i −0.558296 0.118669i −0.0798827 0.996804i \(-0.525455\pi\)
−0.478413 + 0.878135i \(0.658788\pi\)
\(522\) 9.27892 + 5.79811i 0.406127 + 0.253777i
\(523\) −11.2461 + 0.786403i −0.491757 + 0.0343870i −0.313483 0.949594i \(-0.601496\pi\)
−0.178274 + 0.983981i \(0.557051\pi\)
\(524\) −5.15157 + 8.92277i −0.225047 + 0.389793i
\(525\) −20.1844 7.70574i −0.880920 0.336306i
\(526\) −8.43771 3.07107i −0.367902 0.133905i
\(527\) −6.37444 + 6.15573i −0.277675 + 0.268148i
\(528\) −4.42427 + 2.35243i −0.192542 + 0.102376i
\(529\) 13.3090 + 17.0347i 0.578652 + 0.740641i
\(530\) 2.30203 + 0.0983992i 0.0999937 + 0.00427419i
\(531\) −3.04220 + 9.36294i −0.132020 + 0.406317i
\(532\) 14.7752 5.94152i 0.640584 0.257598i
\(533\) −7.71901 + 23.7567i −0.334347 + 1.02902i
\(534\) −5.38911 0.376844i −0.233210 0.0163076i
\(535\) 32.7597 + 8.44027i 1.41633 + 0.364905i
\(536\) −6.79254 + 13.9268i −0.293393 + 0.601545i
\(537\) −5.15531 10.5699i −0.222468 0.456127i
\(538\) 16.2379 4.65613i 0.700064 0.200740i
\(539\) 2.69779 25.6677i 0.116202 1.10559i
\(540\) 1.71653 + 12.9468i 0.0738678 + 0.557143i
\(541\) −5.23207 + 20.9847i −0.224944 + 0.902202i 0.746586 + 0.665288i \(0.231691\pi\)
−0.971531 + 0.236914i \(0.923864\pi\)
\(542\) 3.22772 + 7.98889i 0.138642 + 0.343152i
\(543\) 0.825638 1.43005i 0.0354315 0.0613692i
\(544\) 5.57788 1.18561i 0.239150 0.0508328i
\(545\) −18.3343 6.11594i −0.785357 0.261978i
\(546\) 11.0387 1.55139i 0.472414 0.0663934i
\(547\) 30.2238 16.0703i 1.29228 0.687115i 0.326182 0.945307i \(-0.394238\pi\)
0.966094 + 0.258192i \(0.0831266\pi\)
\(548\) −10.8645 3.11534i −0.464108 0.133081i
\(549\) 5.40548 + 4.53574i 0.230700 + 0.193581i
\(550\) −19.4102 + 15.7769i −0.827654 + 0.672731i
\(551\) 31.4516 12.6476i 1.33988 0.538805i
\(552\) −3.52211 2.55896i −0.149911 0.108917i
\(553\) 5.48068 13.5652i 0.233062 0.576849i
\(554\) −1.84583 2.36256i −0.0784220 0.100376i
\(555\) −13.6701 + 7.75071i −0.580265 + 0.328999i
\(556\) −16.8043 8.93502i −0.712663 0.378929i
\(557\) −1.61339 0.587227i −0.0683617 0.0248816i 0.307613 0.951512i \(-0.400470\pi\)
−0.375975 + 0.926630i \(0.622692\pi\)
\(558\) −11.0789 + 2.35489i −0.469006 + 0.0996903i
\(559\) −1.81594 17.2775i −0.0768060 0.730761i
\(560\) −4.53440 + 4.01910i −0.191614 + 0.169838i
\(561\) 7.03909 0.492221i 0.297191 0.0207816i
\(562\) −0.282229 2.68523i −0.0119051 0.113270i
\(563\) 4.37065 + 1.94594i 0.184201 + 0.0820114i 0.496765 0.867885i \(-0.334521\pi\)
−0.312564 + 0.949897i \(0.601188\pi\)
\(564\) 4.77231 + 7.07524i 0.200950 + 0.297921i
\(565\) −3.57622 + 24.0797i −0.150453 + 1.01304i
\(566\) 18.6201 + 17.9812i 0.782661 + 0.755807i
\(567\) 0.310789 + 8.89982i 0.0130519 + 0.373757i
\(568\) −5.24419 4.40039i −0.220041 0.184636i
\(569\) 3.68570 11.3434i 0.154513 0.475541i −0.843599 0.536974i \(-0.819567\pi\)
0.998111 + 0.0614336i \(0.0195672\pi\)
\(570\) −10.3810 5.64606i −0.434812 0.236488i
\(571\) −9.93584 30.5794i −0.415802 1.27971i −0.911532 0.411230i \(-0.865099\pi\)
0.495730 0.868477i \(-0.334901\pi\)
\(572\) −5.38496 + 13.3282i −0.225157 + 0.557282i
\(573\) −23.6348 6.77716i −0.987357 0.283120i
\(574\) −5.51503 31.2773i −0.230193 1.30549i
\(575\) −5.33290 2.47491i −0.222397 0.103211i
\(576\) 8.97387 + 3.26622i 0.373911 + 0.136093i
\(577\) −3.56825 + 33.9496i −0.148548 + 1.41334i 0.625505 + 0.780220i \(0.284893\pi\)
−0.774053 + 0.633121i \(0.781774\pi\)
\(578\) −15.0217 3.19296i −0.624821 0.132810i
\(579\) −2.90675 1.81634i −0.120800 0.0754845i
\(580\) 13.7147 12.1562i 0.569473 0.504757i
\(581\) −14.6305 16.2488i −0.606975 0.674114i
\(582\) 7.90398 + 13.6901i 0.327630 + 0.567472i
\(583\) −3.35438 + 4.29341i −0.138924 + 0.177815i
\(584\) 9.00047 + 18.4537i 0.372442 + 0.763619i
\(585\) −6.32942 5.78920i −0.261689 0.239354i
\(586\) −0.130228 0.0373423i −0.00537967 0.00154260i
\(587\) −17.1286 1.19775i −0.706975 0.0494365i −0.288257 0.957553i \(-0.593076\pi\)
−0.418718 + 0.908116i \(0.637520\pi\)
\(588\) 5.33286 3.87455i 0.219924 0.159784i
\(589\) −14.3254 + 32.0346i −0.590267 + 1.31996i
\(590\) −12.2081 8.37397i −0.502600 0.344751i
\(591\) −14.2162 0.994095i −0.584777 0.0408916i
\(592\) 0.153807 + 4.40445i 0.00632143 + 0.181022i
\(593\) −5.65771 32.0865i −0.232334 1.31763i −0.848155 0.529748i \(-0.822286\pi\)
0.615821 0.787886i \(-0.288825\pi\)
\(594\) 24.4802 + 13.0164i 1.00444 + 0.534068i
\(595\) 8.13540 2.57327i 0.333519 0.105494i
\(596\) −16.9066 + 18.7767i −0.692521 + 0.769123i
\(597\) −14.5031 3.08272i −0.593571 0.126167i
\(598\) 3.02597 0.211596i 0.123741 0.00865282i
\(599\) 29.0442 24.3709i 1.18671 0.995769i 0.186801 0.982398i \(-0.440188\pi\)
0.999911 0.0133717i \(-0.00425647\pi\)
\(600\) −18.2899 2.86255i −0.746684 0.116863i
\(601\) −23.9049 41.4046i −0.975103 1.68893i −0.679596 0.733586i \(-0.737845\pi\)
−0.295506 0.955341i \(-0.595488\pi\)
\(602\) 12.3517 + 18.3122i 0.503418 + 0.746348i
\(603\) 7.47141 1.05004i 0.304259 0.0427609i
\(604\) −3.60592 + 1.91730i −0.146723 + 0.0780139i
\(605\) −2.14080 34.4841i −0.0870359 1.40198i
\(606\) −2.62865 + 1.64256i −0.106781 + 0.0667244i
\(607\) −46.5402 −1.88901 −0.944505 0.328498i \(-0.893458\pi\)
−0.944505 + 0.328498i \(0.893458\pi\)
\(608\) 18.7419 12.5971i 0.760083 0.510880i
\(609\) 27.1870 19.7525i 1.10167 0.800414i
\(610\) −8.84301 + 5.86470i −0.358043 + 0.237455i
\(611\) −16.5635 4.74951i −0.670087 0.192144i
\(612\) −1.20694 1.16552i −0.0487875 0.0471135i
\(613\) 20.4187 + 41.8645i 0.824702 + 1.69089i 0.717397 + 0.696664i \(0.245333\pi\)
0.107305 + 0.994226i \(0.465778\pi\)
\(614\) 13.3452 + 19.7850i 0.538567 + 0.798459i
\(615\) 17.0300 19.9766i 0.686717 0.805533i
\(616\) −5.53612 52.6727i −0.223057 2.12224i
\(617\) 15.5826 + 38.5683i 0.627331 + 1.55270i 0.820569 + 0.571548i \(0.193657\pi\)
−0.193237 + 0.981152i \(0.561899\pi\)
\(618\) −3.31725 + 2.78350i −0.133439 + 0.111969i
\(619\) 13.2993 + 14.7703i 0.534542 + 0.593669i 0.948559 0.316600i \(-0.102541\pi\)
−0.414017 + 0.910269i \(0.635875\pi\)
\(620\) −1.47117 + 18.9142i −0.0590837 + 0.759611i
\(621\) −0.227429 + 6.51271i −0.00912641 + 0.261346i
\(622\) 31.1851 4.38278i 1.25041 0.175734i
\(623\) 6.77159 13.8838i 0.271298 0.556243i
\(624\) 2.42810 0.883755i 0.0972017 0.0353785i
\(625\) −24.9814 + 0.963892i −0.999256 + 0.0385557i
\(626\) 31.9835 1.27832
\(627\) 25.1349 12.2084i 1.00379 0.487556i
\(628\) −1.97231 6.07014i −0.0787036 0.242225i
\(629\) 2.32488 5.75429i 0.0926992 0.229438i
\(630\) 10.5612 + 2.72100i 0.420767 + 0.108407i
\(631\) 38.6166 + 5.42721i 1.53730 + 0.216054i 0.856397 0.516317i \(-0.172697\pi\)
0.680906 + 0.732371i \(0.261586\pi\)
\(632\) 2.17689 12.3457i 0.0865919 0.491087i
\(633\) 2.87225 3.67632i 0.114162 0.146121i
\(634\) −6.23719 2.77698i −0.247711 0.110288i
\(635\) 23.9145 + 4.40967i 0.949019 + 0.174993i
\(636\) −1.38816 + 0.0970698i −0.0550443 + 0.00384907i
\(637\) −3.21975 + 12.9137i −0.127571 + 0.511659i
\(638\) −4.06678 38.6928i −0.161005 1.53186i
\(639\) −0.348432 + 3.31511i −0.0137838 + 0.131144i
\(640\) 5.23276 7.08521i 0.206843 0.280068i
\(641\) 14.7091 + 30.1582i 0.580976 + 1.19118i 0.963619 + 0.267281i \(0.0861251\pi\)
−0.382643 + 0.923896i \(0.624986\pi\)
\(642\) 18.1640 + 2.55278i 0.716876 + 0.100750i
\(643\) −15.3315 + 5.58022i −0.604617 + 0.220063i −0.626146 0.779706i \(-0.715369\pi\)
0.0215293 + 0.999768i \(0.493146\pi\)
\(644\) 3.64311 2.27647i 0.143559 0.0897054i
\(645\) −5.16919 + 17.5097i −0.203537 + 0.689443i
\(646\) 4.59737 0.802907i 0.180881 0.0315900i
\(647\) −10.2385 31.5109i −0.402517 1.23882i −0.922950 0.384919i \(-0.874229\pi\)
0.520433 0.853902i \(-0.325771\pi\)
\(648\) 1.84598 + 7.40384i 0.0725171 + 0.290850i
\(649\) 32.8951 11.9728i 1.29124 0.469974i
\(650\) 11.0442 6.66353i 0.433188 0.261365i
\(651\) −6.04072 + 34.2586i −0.236754 + 1.34270i
\(652\) 12.9043 + 19.1315i 0.505373 + 0.749247i
\(653\) 17.9974 19.9881i 0.704293 0.782197i −0.279760 0.960070i \(-0.590255\pi\)
0.984053 + 0.177873i \(0.0569217\pi\)
\(654\) −10.2505 2.17880i −0.400825 0.0851979i
\(655\) −4.71206 + 21.3471i −0.184116 + 0.834101i
\(656\) −2.75783 6.82587i −0.107675 0.266505i
\(657\) 4.99865 8.65791i 0.195016 0.337777i
\(658\) 21.4296 4.55499i 0.835411 0.177572i
\(659\) 20.0680 5.75439i 0.781736 0.224159i 0.139047 0.990286i \(-0.455596\pi\)
0.642690 + 0.766127i \(0.277818\pi\)
\(660\) 10.5784 10.7844i 0.411765 0.419783i
\(661\) 5.79974 11.8912i 0.225584 0.462515i −0.755742 0.654870i \(-0.772723\pi\)
0.981325 + 0.192355i \(0.0616124\pi\)
\(662\) 15.2649 22.6311i 0.593287 0.879584i
\(663\) −3.62986 0.253825i −0.140972 0.00985773i
\(664\) −15.1570 11.0122i −0.588205 0.427356i
\(665\) 26.0882 21.4740i 1.01166 0.832728i
\(666\) 6.41751 4.66259i 0.248673 0.180672i
\(667\) 7.75501 4.84587i 0.300275 0.187633i
\(668\) −13.6208 + 4.95756i −0.527004 + 0.191814i
\(669\) −6.77883 0.952702i −0.262085 0.0368336i
\(670\) −1.66672 + 11.2225i −0.0643909 + 0.433562i
\(671\) 0.875666 25.0758i 0.0338047 0.968040i
\(672\) 14.9791 16.6360i 0.577832 0.641747i
\(673\) 35.9314 15.9977i 1.38505 0.616666i 0.427263 0.904128i \(-0.359478\pi\)
0.957792 + 0.287461i \(0.0928113\pi\)
\(674\) −10.8069 + 9.06809i −0.416267 + 0.349290i
\(675\) 11.7570 + 25.0930i 0.452527 + 0.965831i
\(676\) −3.14372 + 5.44508i −0.120912 + 0.209426i
\(677\) −1.35048 + 12.8490i −0.0519033 + 0.493827i 0.937432 + 0.348169i \(0.113196\pi\)
−0.989335 + 0.145658i \(0.953470\pi\)
\(678\) −0.460649 + 13.1913i −0.0176911 + 0.506607i
\(679\) −44.7611 + 6.29076i −1.71777 + 0.241417i
\(680\) 6.36009 3.60605i 0.243898 0.138286i
\(681\) −0.689895 19.7560i −0.0264368 0.757052i
\(682\) 30.8520 + 25.8879i 1.18139 + 0.991300i
\(683\) 9.76055 30.0399i 0.373477 1.14944i −0.571023 0.820934i \(-0.693453\pi\)
0.944500 0.328510i \(-0.106547\pi\)
\(684\) −6.15638 2.49904i −0.235395 0.0955530i
\(685\) −23.9723 + 0.649678i −0.915933 + 0.0248229i
\(686\) 1.61671 + 6.48426i 0.0617262 + 0.247570i
\(687\) −13.4061 + 19.8754i −0.511474 + 0.758292i
\(688\) 3.68310 + 3.55673i 0.140417 + 0.135599i
\(689\) 2.02105 1.95171i 0.0769959 0.0743541i
\(690\) −3.02392 1.00871i −0.115119 0.0384011i
\(691\) 2.68948 + 1.19743i 0.102313 + 0.0455525i 0.457255 0.889336i \(-0.348833\pi\)
−0.354942 + 0.934888i \(0.615499\pi\)
\(692\) 14.4380 + 16.0351i 0.548852 + 0.609562i
\(693\) −19.7553 + 16.5767i −0.750443 + 0.629697i
\(694\) 9.12535 + 22.5860i 0.346393 + 0.857354i
\(695\) −39.7125 7.32271i −1.50638 0.277766i
\(696\) 19.2674 21.3986i 0.730327 0.811111i
\(697\) −0.361810 + 10.3609i −0.0137045 + 0.392446i
\(698\) −21.3106 + 20.5794i −0.806618 + 0.778942i
\(699\) 4.26918 + 24.2117i 0.161475 + 0.915771i
\(700\) 9.37968 15.6753i 0.354519 0.592471i
\(701\) 24.8144 + 20.8217i 0.937226 + 0.786426i 0.977100 0.212779i \(-0.0682514\pi\)
−0.0398747 + 0.999205i \(0.512696\pi\)
\(702\) −11.5668 8.40374i −0.436559 0.317179i
\(703\) 0.0401086 24.5766i 0.00151273 0.926924i
\(704\) −10.4934 32.2953i −0.395484 1.21717i
\(705\) 14.1817 + 11.2595i 0.534113 + 0.424056i
\(706\) 0.0176666 + 0.505907i 0.000664893 + 0.0190400i
\(707\) −1.53905 8.72841i −0.0578821 0.328266i
\(708\) 7.89423 + 4.19744i 0.296683 + 0.157749i
\(709\) −0.979517 + 0.280872i −0.0367865 + 0.0105484i −0.293980 0.955812i \(-0.594980\pi\)
0.257194 + 0.966360i \(0.417202\pi\)
\(710\) −4.63275 1.91399i −0.173864 0.0718307i
\(711\) −5.57642 + 2.48278i −0.209132 + 0.0931116i
\(712\) 3.20207 12.8428i 0.120003 0.481304i
\(713\) −2.29008 + 9.18502i −0.0857643 + 0.343982i
\(714\) 4.22647 1.88175i 0.158172 0.0704226i
\(715\) −2.36524 + 30.4087i −0.0884548 + 1.13722i
\(716\) 9.55801 2.74072i 0.357200 0.102425i
\(717\) −30.0581 15.9822i −1.12254 0.596865i
\(718\) −2.45951 13.9486i −0.0917881 0.520556i
\(719\) 0.00452713 + 0.129640i 0.000168833 + 0.00483476i 0.999472 0.0324820i \(-0.0103412\pi\)
−0.999303 + 0.0373168i \(0.988119\pi\)
\(720\) 2.52572 + 0.107961i 0.0941281 + 0.00402347i
\(721\) −3.82629 11.7761i −0.142499 0.438566i
\(722\) 15.7048 9.74235i 0.584474 0.362573i
\(723\) −11.6781 8.48467i −0.434315 0.315548i
\(724\) 1.06951 + 0.897429i 0.0397482 + 0.0333527i
\(725\) 19.9663 33.3677i 0.741531 1.23924i
\(726\) −3.25303 18.4488i −0.120731 0.684700i
\(727\) −28.8969 + 27.9054i −1.07173 + 1.03495i −0.0724319 + 0.997373i \(0.523076\pi\)
−0.999294 + 0.0375800i \(0.988035\pi\)
\(728\) −0.953156 + 27.2948i −0.0353263 + 1.01161i
\(729\) 16.3531 18.1619i 0.605670 0.672665i
\(730\) 10.3583 + 10.8954i 0.383378 + 0.403257i
\(731\) −2.70100 6.68520i −0.0998999 0.247261i
\(732\) 4.90912 4.11924i 0.181446 0.152251i
\(733\) 5.33494 + 5.92505i 0.197050 + 0.218847i 0.833570 0.552414i \(-0.186293\pi\)
−0.636519 + 0.771261i \(0.719627\pi\)
\(734\) 3.95659 + 1.76159i 0.146040 + 0.0650214i
\(735\) 8.30910 11.2506i 0.306486 0.414985i
\(736\) 4.38194 4.23159i 0.161521 0.155979i
\(737\) −19.2985 18.6363i −0.710868 0.686477i
\(738\) −7.40978 + 10.9855i −0.272758 + 0.404380i
\(739\) −4.00320 16.0560i −0.147260 0.590628i −0.997894 0.0648693i \(-0.979337\pi\)
0.850634 0.525759i \(-0.176219\pi\)
\(740\) −4.44662 12.5205i −0.163461 0.460261i
\(741\) −13.7114 + 4.43038i −0.503701 + 0.162754i
\(742\) −1.10389 + 3.39741i −0.0405249 + 0.124723i
\(743\) 23.3459 + 19.5895i 0.856477 + 0.718670i 0.961206 0.275831i \(-0.0889530\pi\)
−0.104729 + 0.994501i \(0.533397\pi\)
\(744\) 1.04027 + 29.7893i 0.0381380 + 1.09213i
\(745\) −22.1871 + 48.8034i −0.812873 + 1.78802i
\(746\) 13.9618 1.96220i 0.511178 0.0718414i
\(747\) −0.318371 + 9.11695i −0.0116486 + 0.333572i
\(748\) −0.623625 + 5.93340i −0.0228020 + 0.216946i
\(749\) −26.2241 + 45.4215i −0.958208 + 1.65966i
\(750\) −13.4007 + 2.04035i −0.489323 + 0.0745031i
\(751\) 11.2893 9.47286i 0.411953 0.345669i −0.413139 0.910668i \(-0.635568\pi\)
0.825092 + 0.564998i \(0.191123\pi\)
\(752\) 4.63931 2.06555i 0.169178 0.0753230i
\(753\) 17.9693 19.9570i 0.654839 0.727272i
\(754\) −0.700178 + 20.0505i −0.0254990 + 0.730195i
\(755\) −6.06791 + 6.18606i −0.220834 + 0.225134i
\(756\) −20.0510 2.81798i −0.729246 0.102489i
\(757\) 21.4164 7.79494i 0.778393 0.283312i 0.0778907 0.996962i \(-0.475181\pi\)
0.700502 + 0.713650i \(0.252959\pi\)
\(758\) −10.5814 + 6.61200i −0.384334 + 0.240159i
\(759\) 6.09820 4.43060i 0.221351 0.160821i
\(760\) 18.0397 22.6456i 0.654369 0.821444i
\(761\) 39.2499 + 28.5167i 1.42281 + 1.03373i 0.991300 + 0.131623i \(0.0420187\pi\)
0.431509 + 0.902109i \(0.357981\pi\)
\(762\) 13.1530 + 0.919749i 0.476484 + 0.0333190i
\(763\) 16.7561 24.8419i 0.606611 0.899337i
\(764\) 9.11308 18.6846i 0.329700 0.675984i
\(765\) −3.18743 1.58555i −0.115242 0.0573258i
\(766\) 20.8907 5.99031i 0.754811 0.216439i
\(767\) −17.6572 + 3.75316i −0.637566 + 0.135519i
\(768\) 10.6175 18.3900i 0.383126 0.663593i
\(769\) −13.7252 33.9711i −0.494944 1.22503i −0.943529 0.331289i \(-0.892517\pi\)
0.448586 0.893740i \(-0.351928\pi\)
\(770\) −15.4960 35.5493i −0.558436 1.28111i