Properties

Label 177.3.h.a.5.13
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.13
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.528130 + 1.56743i) q^{2} +(-2.80203 + 1.07173i) q^{3} +(1.00644 + 0.765078i) q^{4} +(6.70916 + 2.67318i) q^{5} +(-0.200026 - 4.95802i) q^{6} +(6.64296 - 3.07336i) q^{7} +(-7.20679 + 4.88632i) q^{8} +(6.70279 - 6.00604i) q^{9} +O(q^{10})\) \(q+(-0.528130 + 1.56743i) q^{2} +(-2.80203 + 1.07173i) q^{3} +(1.00644 + 0.765078i) q^{4} +(6.70916 + 2.67318i) q^{5} +(-0.200026 - 4.95802i) q^{6} +(6.64296 - 3.07336i) q^{7} +(-7.20679 + 4.88632i) q^{8} +(6.70279 - 6.00604i) q^{9} +(-7.73334 + 9.10439i) q^{10} +(15.4464 + 4.28868i) q^{11} +(-3.64004 - 1.06514i) q^{12} +(0.592914 - 1.11835i) q^{13} +(1.30894 + 12.0355i) q^{14} +(-21.6642 - 0.299923i) q^{15} +(-2.50000 - 9.00420i) q^{16} +(0.274735 - 0.593831i) q^{17} +(5.87413 + 13.6782i) q^{18} +(-17.1511 + 3.77525i) q^{19} +(4.70720 + 7.82343i) q^{20} +(-15.3200 + 15.7311i) q^{21} +(-14.8799 + 21.9463i) q^{22} +(-41.3296 - 6.77564i) q^{23} +(14.9569 - 21.4154i) q^{24} +(19.7171 + 18.6771i) q^{25} +(1.43981 + 1.51999i) q^{26} +(-12.3446 + 24.0127i) q^{27} +(9.03712 + 1.98922i) q^{28} +(9.51275 + 28.2328i) q^{29} +(11.9116 - 33.7989i) q^{30} +(13.8187 + 3.04172i) q^{31} +(-19.3436 - 1.04878i) q^{32} +(-47.8777 + 4.53736i) q^{33} +(0.785695 + 0.744250i) q^{34} +(52.7844 - 2.86189i) q^{35} +(11.3411 - 0.916579i) q^{36} +(40.8125 - 60.1940i) q^{37} +(3.14057 - 28.8771i) q^{38} +(-0.462793 + 3.76911i) q^{39} +(-61.4135 + 13.5181i) q^{40} +(-0.669301 + 0.109726i) q^{41} +(-16.5666 - 32.3212i) q^{42} +(-19.6744 - 70.8606i) q^{43} +(12.2648 + 16.1340i) q^{44} +(61.0254 - 22.3778i) q^{45} +(32.4478 - 61.2030i) q^{46} +(24.1972 - 9.64105i) q^{47} +(16.6552 + 22.5508i) q^{48} +(2.96149 - 3.48654i) q^{49} +(-39.6883 + 21.0414i) q^{50} +(-0.133392 + 1.95838i) q^{51} +(1.45236 - 0.671934i) q^{52} +(-42.0992 + 35.7594i) q^{53} +(-31.1188 - 32.0312i) q^{54} +(92.1682 + 70.0645i) q^{55} +(-32.8570 + 54.6088i) q^{56} +(44.0120 - 28.9598i) q^{57} -49.2771 q^{58} +(-39.9148 - 43.4490i) q^{59} +(-21.5743 - 16.8767i) q^{60} +(77.7934 + 26.2117i) q^{61} +(-12.0658 + 20.0534i) q^{62} +(26.0677 - 60.4980i) q^{63} +(25.6953 - 64.4904i) q^{64} +(6.96752 - 5.91826i) q^{65} +(18.1737 - 77.4415i) q^{66} +(23.5618 + 34.7511i) q^{67} +(0.730832 - 0.387463i) q^{68} +(123.069 - 25.3085i) q^{69} +(-23.3912 + 84.2475i) q^{70} +(-50.8853 + 20.2746i) q^{71} +(-18.9581 + 76.0363i) q^{72} +(-20.7396 + 2.25556i) q^{73} +(72.7958 + 95.7612i) q^{74} +(-75.2648 - 31.2023i) q^{75} +(-20.1500 - 9.32238i) q^{76} +(115.791 - 18.9829i) q^{77} +(-5.66342 - 2.71598i) q^{78} +(-99.7467 + 60.0156i) q^{79} +(7.29687 - 67.0936i) q^{80} +(8.85489 - 80.5145i) q^{81} +(0.181489 - 1.10704i) q^{82} +(-35.4258 + 1.92073i) q^{83} +(-27.4542 + 4.11148i) q^{84} +(3.43066 - 3.24969i) q^{85} +(121.460 + 6.58537i) q^{86} +(-56.9130 - 68.9143i) q^{87} +(-132.275 + 44.5686i) q^{88} +(-10.4006 - 30.8679i) q^{89} +(2.84639 + 107.472i) q^{90} +(0.501598 - 9.25143i) q^{91} +(-36.4120 - 38.4396i) q^{92} +(-41.9803 + 6.28687i) q^{93} +(2.33244 + 43.0193i) q^{94} +(-125.162 - 20.5192i) q^{95} +(55.3254 - 17.7924i) q^{96} +(84.6359 + 9.20471i) q^{97} +(3.90087 + 6.48329i) q^{98} +(129.292 - 64.0258i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.528130 + 1.56743i −0.264065 + 0.783717i 0.730808 + 0.682583i \(0.239144\pi\)
−0.994873 + 0.101134i \(0.967753\pi\)
\(3\) −2.80203 + 1.07173i −0.934011 + 0.357243i
\(4\) 1.00644 + 0.765078i 0.251611 + 0.191269i
\(5\) 6.70916 + 2.67318i 1.34183 + 0.534635i 0.926931 0.375231i \(-0.122437\pi\)
0.414902 + 0.909866i \(0.363816\pi\)
\(6\) −0.200026 4.95802i −0.0333377 0.826336i
\(7\) 6.64296 3.07336i 0.948995 0.439052i 0.116566 0.993183i \(-0.462811\pi\)
0.832429 + 0.554131i \(0.186949\pi\)
\(8\) −7.20679 + 4.88632i −0.900849 + 0.610791i
\(9\) 6.70279 6.00604i 0.744755 0.667338i
\(10\) −7.73334 + 9.10439i −0.773334 + 0.910439i
\(11\) 15.4464 + 4.28868i 1.40422 + 0.389880i 0.885331 0.464961i \(-0.153932\pi\)
0.518890 + 0.854841i \(0.326346\pi\)
\(12\) −3.64004 1.06514i −0.303337 0.0887617i
\(13\) 0.592914 1.11835i 0.0456088 0.0860273i −0.859660 0.510867i \(-0.829325\pi\)
0.905269 + 0.424839i \(0.139669\pi\)
\(14\) 1.30894 + 12.0355i 0.0934961 + 0.859682i
\(15\) −21.6642 0.299923i −1.44428 0.0199949i
\(16\) −2.50000 9.00420i −0.156250 0.562763i
\(17\) 0.274735 0.593831i 0.0161609 0.0349312i −0.899327 0.437277i \(-0.855943\pi\)
0.915488 + 0.402346i \(0.131805\pi\)
\(18\) 5.87413 + 13.6782i 0.326341 + 0.759898i
\(19\) −17.1511 + 3.77525i −0.902691 + 0.198697i −0.641982 0.766720i \(-0.721888\pi\)
−0.260710 + 0.965417i \(0.583956\pi\)
\(20\) 4.70720 + 7.82343i 0.235360 + 0.391172i
\(21\) −15.3200 + 15.7311i −0.729524 + 0.749101i
\(22\) −14.8799 + 21.9463i −0.676361 + 0.997558i
\(23\) −41.3296 6.77564i −1.79694 0.294593i −0.831558 0.555438i \(-0.812551\pi\)
−0.965381 + 0.260845i \(0.915999\pi\)
\(24\) 14.9569 21.4154i 0.623202 0.892307i
\(25\) 19.7171 + 18.6771i 0.788685 + 0.747082i
\(26\) 1.43981 + 1.51999i 0.0553774 + 0.0584612i
\(27\) −12.3446 + 24.0127i −0.457208 + 0.889360i
\(28\) 9.03712 + 1.98922i 0.322754 + 0.0710436i
\(29\) 9.51275 + 28.2328i 0.328026 + 0.973546i 0.977093 + 0.212815i \(0.0682630\pi\)
−0.649067 + 0.760732i \(0.724840\pi\)
\(30\) 11.9116 33.7989i 0.397055 1.12663i
\(31\) 13.8187 + 3.04172i 0.445764 + 0.0981200i 0.432179 0.901788i \(-0.357745\pi\)
0.0135845 + 0.999908i \(0.495676\pi\)
\(32\) −19.3436 1.04878i −0.604487 0.0327743i
\(33\) −47.8777 + 4.53736i −1.45084 + 0.137496i
\(34\) 0.785695 + 0.744250i 0.0231087 + 0.0218897i
\(35\) 52.7844 2.86189i 1.50813 0.0817682i
\(36\) 11.3411 0.916579i 0.315030 0.0254605i
\(37\) 40.8125 60.1940i 1.10304 1.62686i 0.398559 0.917143i \(-0.369510\pi\)
0.704482 0.709721i \(-0.251179\pi\)
\(38\) 3.14057 28.8771i 0.0826467 0.759924i
\(39\) −0.462793 + 3.76911i −0.0118665 + 0.0966439i
\(40\) −61.4135 + 13.5181i −1.53534 + 0.337954i
\(41\) −0.669301 + 0.109726i −0.0163244 + 0.00267625i −0.169939 0.985455i \(-0.554357\pi\)
0.153614 + 0.988131i \(0.450909\pi\)
\(42\) −16.5666 32.3212i −0.394442 0.769552i
\(43\) −19.6744 70.8606i −0.457543 1.64792i −0.728289 0.685270i \(-0.759684\pi\)
0.270746 0.962651i \(-0.412730\pi\)
\(44\) 12.2648 + 16.1340i 0.278745 + 0.366682i
\(45\) 61.0254 22.3778i 1.35612 0.497284i
\(46\) 32.4478 61.2030i 0.705387 1.33050i
\(47\) 24.1972 9.64105i 0.514834 0.205129i −0.0982271 0.995164i \(-0.531317\pi\)
0.613061 + 0.790035i \(0.289938\pi\)
\(48\) 16.6552 + 22.5508i 0.346983 + 0.469807i
\(49\) 2.96149 3.48654i 0.0604386 0.0711538i
\(50\) −39.6883 + 21.0414i −0.793766 + 0.420828i
\(51\) −0.133392 + 1.95838i −0.00261553 + 0.0383995i
\(52\) 1.45236 0.671934i 0.0279300 0.0129218i
\(53\) −42.0992 + 35.7594i −0.794324 + 0.674705i −0.949704 0.313150i \(-0.898616\pi\)
0.155379 + 0.987855i \(0.450340\pi\)
\(54\) −31.1188 32.0312i −0.576274 0.593170i
\(55\) 92.1682 + 70.0645i 1.67579 + 1.27390i
\(56\) −32.8570 + 54.6088i −0.586732 + 0.975156i
\(57\) 44.0120 28.9598i 0.772141 0.508066i
\(58\) −49.2771 −0.849605
\(59\) −39.9148 43.4490i −0.676521 0.736423i
\(60\) −21.5743 16.8767i −0.359572 0.281278i
\(61\) 77.7934 + 26.2117i 1.27530 + 0.429699i 0.873857 0.486184i \(-0.161611\pi\)
0.401445 + 0.915883i \(0.368508\pi\)
\(62\) −12.0658 + 20.0534i −0.194609 + 0.323443i
\(63\) 26.0677 60.4980i 0.413773 0.960286i
\(64\) 25.6953 64.4904i 0.401489 1.00766i
\(65\) 6.96752 5.91826i 0.107193 0.0910502i
\(66\) 18.1737 77.4415i 0.275358 1.17336i
\(67\) 23.5618 + 34.7511i 0.351669 + 0.518673i 0.961846 0.273593i \(-0.0882120\pi\)
−0.610177 + 0.792265i \(0.708902\pi\)
\(68\) 0.730832 0.387463i 0.0107475 0.00569798i
\(69\) 123.069 25.3085i 1.78360 0.366790i
\(70\) −23.3912 + 84.2475i −0.334160 + 1.20354i
\(71\) −50.8853 + 20.2746i −0.716695 + 0.285557i −0.699839 0.714301i \(-0.746745\pi\)
−0.0168558 + 0.999858i \(0.505366\pi\)
\(72\) −18.9581 + 76.0363i −0.263308 + 1.05606i
\(73\) −20.7396 + 2.25556i −0.284104 + 0.0308981i −0.249061 0.968488i \(-0.580122\pi\)
−0.0350423 + 0.999386i \(0.511157\pi\)
\(74\) 72.7958 + 95.7612i 0.983727 + 1.29407i
\(75\) −75.2648 31.2023i −1.00353 0.416031i
\(76\) −20.1500 9.32238i −0.265132 0.122663i
\(77\) 115.791 18.9829i 1.50378 0.246532i
\(78\) −5.66342 2.71598i −0.0726080 0.0348202i
\(79\) −99.7467 + 60.0156i −1.26262 + 0.759691i −0.979896 0.199511i \(-0.936065\pi\)
−0.282721 + 0.959202i \(0.591237\pi\)
\(80\) 7.29687 67.0936i 0.0912109 0.838670i
\(81\) 8.85489 80.5145i 0.109320 0.994007i
\(82\) 0.181489 1.10704i 0.00221328 0.0135004i
\(83\) −35.4258 + 1.92073i −0.426817 + 0.0231413i −0.266296 0.963891i \(-0.585800\pi\)
−0.160520 + 0.987033i \(0.551317\pi\)
\(84\) −27.4542 + 4.11148i −0.326836 + 0.0489462i
\(85\) 3.43066 3.24969i 0.0403607 0.0382317i
\(86\) 121.460 + 6.58537i 1.41233 + 0.0765741i
\(87\) −56.9130 68.9143i −0.654173 0.792118i
\(88\) −132.275 + 44.5686i −1.50313 + 0.506462i
\(89\) −10.4006 30.8679i −0.116861 0.346830i 0.873221 0.487325i \(-0.162027\pi\)
−0.990081 + 0.140495i \(0.955131\pi\)
\(90\) 2.84639 + 107.472i 0.0316265 + 1.19413i
\(91\) 0.501598 9.25143i 0.00551207 0.101664i
\(92\) −36.4120 38.4396i −0.395782 0.417822i
\(93\) −41.9803 + 6.28687i −0.451401 + 0.0676008i
\(94\) 2.33244 + 43.0193i 0.0248132 + 0.457652i
\(95\) −125.162 20.5192i −1.31749 0.215992i
\(96\) 55.3254 17.7924i 0.576306 0.185337i
\(97\) 84.6359 + 9.20471i 0.872535 + 0.0948939i 0.533420 0.845851i \(-0.320907\pi\)
0.339116 + 0.940745i \(0.389872\pi\)
\(98\) 3.90087 + 6.48329i 0.0398048 + 0.0661560i
\(99\) 129.292 64.0258i 1.30598 0.646725i
\(100\) 5.55476 + 33.8825i 0.0555476 + 0.338825i
\(101\) 78.5486 169.780i 0.777709 1.68099i 0.0464202 0.998922i \(-0.485219\pi\)
0.731289 0.682068i \(-0.238919\pi\)
\(102\) −2.99918 1.24336i −0.0294037 0.0121898i
\(103\) −4.42288 + 3.36218i −0.0429406 + 0.0326426i −0.626424 0.779482i \(-0.715482\pi\)
0.583484 + 0.812125i \(0.301689\pi\)
\(104\) 1.19164 + 10.9569i 0.0114580 + 0.105355i
\(105\) −144.836 + 64.5897i −1.37940 + 0.615140i
\(106\) −33.8166 84.8733i −0.319025 0.800692i
\(107\) −12.1901 3.38455i −0.113926 0.0316313i 0.210098 0.977680i \(-0.432622\pi\)
−0.324023 + 0.946049i \(0.605036\pi\)
\(108\) −30.7957 + 14.7228i −0.285146 + 0.136323i
\(109\) 15.3293 + 28.9142i 0.140636 + 0.265268i 0.943818 0.330466i \(-0.107206\pi\)
−0.803182 + 0.595734i \(0.796861\pi\)
\(110\) −158.498 + 107.465i −1.44089 + 0.976950i
\(111\) −49.8465 + 212.406i −0.449067 + 1.91356i
\(112\) −44.2806 52.1312i −0.395363 0.465457i
\(113\) 140.587 + 56.0149i 1.24413 + 0.495707i 0.896967 0.442098i \(-0.145766\pi\)
0.347163 + 0.937805i \(0.387145\pi\)
\(114\) 22.1484 + 84.2805i 0.194285 + 0.739303i
\(115\) −259.175 155.940i −2.25369 1.35600i
\(116\) −12.0263 + 35.6927i −0.103675 + 0.307696i
\(117\) −2.74271 11.0572i −0.0234419 0.0945057i
\(118\) 89.1836 39.6171i 0.755793 0.335738i
\(119\) 4.78916i 0.0402450i
\(120\) 157.595 103.697i 1.31329 0.864141i
\(121\) 116.520 + 70.1075i 0.962972 + 0.579401i
\(122\) −82.1701 + 108.093i −0.673526 + 0.886008i
\(123\) 1.75781 1.02477i 0.0142911 0.00833144i
\(124\) 11.5806 + 13.6337i 0.0933915 + 0.109949i
\(125\) 6.54639 + 14.1498i 0.0523711 + 0.113198i
\(126\) 81.0596 + 72.8102i 0.643330 + 0.577859i
\(127\) −76.8664 144.985i −0.605248 1.14162i −0.976991 0.213282i \(-0.931585\pi\)
0.371743 0.928336i \(-0.378760\pi\)
\(128\) 28.4556 + 24.1704i 0.222309 + 0.188831i
\(129\) 131.072 + 177.468i 1.01606 + 1.37572i
\(130\) 5.59673 + 14.0467i 0.0430518 + 0.108052i
\(131\) 114.942 + 60.9385i 0.877421 + 0.465179i 0.845292 0.534304i \(-0.179426\pi\)
0.0321292 + 0.999484i \(0.489771\pi\)
\(132\) −51.6576 32.0636i −0.391346 0.242906i
\(133\) −102.332 + 77.7905i −0.769411 + 0.584891i
\(134\) −66.9137 + 18.5785i −0.499356 + 0.138646i
\(135\) −147.012 + 128.106i −1.08898 + 0.948933i
\(136\) 0.921690 + 5.62206i 0.00677713 + 0.0413387i
\(137\) −21.4996 97.6735i −0.156931 0.712945i −0.987704 0.156334i \(-0.950032\pi\)
0.830773 0.556611i \(-0.187899\pi\)
\(138\) −25.3268 + 206.268i −0.183527 + 1.49470i
\(139\) 53.5043 + 5.81894i 0.384923 + 0.0418629i 0.298535 0.954399i \(-0.403502\pi\)
0.0863879 + 0.996262i \(0.472468\pi\)
\(140\) 55.3140 + 37.5038i 0.395100 + 0.267885i
\(141\) −57.4688 + 52.9474i −0.407580 + 0.375514i
\(142\) −4.90498 90.4670i −0.0345421 0.637092i
\(143\) 13.9547 14.7318i 0.0975851 0.103019i
\(144\) −70.8366 45.3382i −0.491921 0.314848i
\(145\) −11.6487 + 214.848i −0.0803360 + 1.48171i
\(146\) 7.41774 33.6991i 0.0508065 0.230816i
\(147\) −4.56158 + 12.9433i −0.0310311 + 0.0880498i
\(148\) 87.1285 29.3570i 0.588706 0.198358i
\(149\) 25.9113 117.716i 0.173902 0.790043i −0.806215 0.591622i \(-0.798488\pi\)
0.980117 0.198421i \(-0.0635812\pi\)
\(150\) 88.6573 101.494i 0.591048 0.676625i
\(151\) 48.1959 45.6536i 0.319178 0.302341i −0.511289 0.859409i \(-0.670832\pi\)
0.830467 + 0.557067i \(0.188073\pi\)
\(152\) 105.158 111.013i 0.691826 0.730352i
\(153\) −1.72508 5.63040i −0.0112750 0.0368000i
\(154\) −31.3981 + 191.520i −0.203884 + 1.24364i
\(155\) 84.5807 + 57.3471i 0.545682 + 0.369982i
\(156\) −3.34944 + 3.43932i −0.0214708 + 0.0220469i
\(157\) −135.654 + 81.6200i −0.864035 + 0.519873i −0.877247 0.480040i \(-0.840622\pi\)
0.0132113 + 0.999913i \(0.495795\pi\)
\(158\) −41.3913 188.043i −0.261970 1.19014i
\(159\) 79.6390 145.318i 0.500874 0.913949i
\(160\) −126.976 58.7452i −0.793598 0.367158i
\(161\) −295.375 + 82.0105i −1.83463 + 0.509382i
\(162\) 121.525 + 56.4016i 0.750153 + 0.348158i
\(163\) 19.1327 2.08081i 0.117379 0.0127657i −0.0492411 0.998787i \(-0.515680\pi\)
0.166620 + 0.986021i \(0.446715\pi\)
\(164\) −0.757563 0.401634i −0.00461928 0.00244899i
\(165\) −333.349 97.5437i −2.02029 0.591174i
\(166\) 15.6988 56.5420i 0.0945711 0.340614i
\(167\) −15.9521 13.5498i −0.0955216 0.0811368i 0.598353 0.801233i \(-0.295822\pi\)
−0.693875 + 0.720096i \(0.744098\pi\)
\(168\) 33.5407 188.229i 0.199647 1.12041i
\(169\) 93.9414 + 138.553i 0.555867 + 0.819842i
\(170\) 3.28185 + 7.09359i 0.0193050 + 0.0417270i
\(171\) −92.2862 + 128.315i −0.539685 + 0.750381i
\(172\) 34.4128 86.3696i 0.200074 0.502149i
\(173\) −30.5372 + 40.1710i −0.176516 + 0.232202i −0.875839 0.482603i \(-0.839691\pi\)
0.699324 + 0.714805i \(0.253485\pi\)
\(174\) 138.076 52.8117i 0.793541 0.303516i
\(175\) 188.382 + 63.4732i 1.07647 + 0.362704i
\(176\) 149.804i 0.851162i
\(177\) 158.408 + 78.9677i 0.894961 + 0.446145i
\(178\) 53.8763 0.302676
\(179\) 36.3832 107.982i 0.203258 0.603249i −0.796741 0.604321i \(-0.793445\pi\)
0.999999 + 0.00107179i \(0.000341163\pi\)
\(180\) 78.5393 + 24.1672i 0.436329 + 0.134262i
\(181\) −59.6513 45.3457i −0.329565 0.250529i 0.427286 0.904117i \(-0.359470\pi\)
−0.756851 + 0.653588i \(0.773263\pi\)
\(182\) 14.2361 + 5.67218i 0.0782203 + 0.0311658i
\(183\) −246.072 + 9.92751i −1.34465 + 0.0542487i
\(184\) 330.962 153.119i 1.79870 0.832169i
\(185\) 434.727 294.752i 2.34988 1.59326i
\(186\) 12.3168 69.1217i 0.0662194 0.371622i
\(187\) 6.79043 7.99431i 0.0363125 0.0427503i
\(188\) 31.7293 + 8.80958i 0.168773 + 0.0468595i
\(189\) −8.20500 + 197.455i −0.0434127 + 1.04474i
\(190\) 98.2642 185.346i 0.517180 0.975505i
\(191\) −1.85665 17.0716i −0.00972068 0.0893802i 0.988273 0.152700i \(-0.0487968\pi\)
−0.997993 + 0.0633196i \(0.979831\pi\)
\(192\) −2.88295 + 208.243i −0.0150153 + 1.08460i
\(193\) 17.9456 + 64.6342i 0.0929823 + 0.334892i 0.995380 0.0960117i \(-0.0306086\pi\)
−0.902398 + 0.430904i \(0.858195\pi\)
\(194\) −59.1266 + 127.800i −0.304776 + 0.658763i
\(195\) −13.1804 + 24.0505i −0.0675920 + 0.123336i
\(196\) 5.64804 1.24323i 0.0288165 0.00634300i
\(197\) −80.3783 133.590i −0.408012 0.678121i 0.582913 0.812534i \(-0.301913\pi\)
−0.990925 + 0.134413i \(0.957085\pi\)
\(198\) 32.0731 + 236.471i 0.161985 + 1.19430i
\(199\) 119.675 176.507i 0.601381 0.886971i −0.398158 0.917317i \(-0.630350\pi\)
0.999539 + 0.0303456i \(0.00966077\pi\)
\(200\) −233.359 38.2573i −1.16680 0.191287i
\(201\) −103.265 72.1218i −0.513755 0.358815i
\(202\) 224.635 + 212.786i 1.11206 + 1.05339i
\(203\) 149.963 + 158.314i 0.738732 + 0.779870i
\(204\) −1.63256 + 1.86894i −0.00800275 + 0.00916146i
\(205\) −4.78377 1.05299i −0.0233355 0.00513652i
\(206\) −2.93415 8.70824i −0.0142434 0.0422730i
\(207\) −317.719 + 202.812i −1.53487 + 0.979766i
\(208\) −11.5522 2.54283i −0.0555393 0.0122251i
\(209\) −281.115 15.2416i −1.34505 0.0729263i
\(210\) −24.7475 261.133i −0.117845 1.24349i
\(211\) −195.041 184.753i −0.924365 0.875605i 0.0681566 0.997675i \(-0.478288\pi\)
−0.992522 + 0.122070i \(0.961047\pi\)
\(212\) −69.7291 + 3.78060i −0.328911 + 0.0178330i
\(213\) 120.854 111.345i 0.567388 0.522748i
\(214\) 11.7430 17.3196i 0.0548738 0.0809329i
\(215\) 57.4244 528.009i 0.267090 2.45585i
\(216\) −28.3689 233.374i −0.131338 1.08044i
\(217\) 101.145 22.2638i 0.466107 0.102598i
\(218\) −53.4170 + 8.75727i −0.245032 + 0.0401710i
\(219\) 55.6956 28.5474i 0.254318 0.130353i
\(220\) 39.1573 + 141.032i 0.177988 + 0.641053i
\(221\) −0.501219 0.659342i −0.00226796 0.00298345i
\(222\) −306.606 190.309i −1.38111 0.857247i
\(223\) 53.7759 101.432i 0.241147 0.454852i −0.733166 0.680050i \(-0.761958\pi\)
0.974313 + 0.225198i \(0.0723028\pi\)
\(224\) −131.722 + 52.4829i −0.588045 + 0.234298i
\(225\) 244.335 + 6.76653i 1.08593 + 0.0300735i
\(226\) −162.048 + 190.777i −0.717025 + 0.844147i
\(227\) −271.065 + 143.709i −1.19412 + 0.633081i −0.942325 0.334700i \(-0.891365\pi\)
−0.251793 + 0.967781i \(0.581020\pi\)
\(228\) 66.4520 + 4.52630i 0.291456 + 0.0198522i
\(229\) 176.480 81.6485i 0.770657 0.356544i 0.00516270 0.999987i \(-0.498357\pi\)
0.765494 + 0.643443i \(0.222495\pi\)
\(230\) 381.304 323.882i 1.65784 1.40818i
\(231\) −304.105 + 177.287i −1.31647 + 0.767477i
\(232\) −206.511 156.986i −0.890134 0.676663i
\(233\) −142.003 + 236.010i −0.609453 + 1.01292i 0.386434 + 0.922317i \(0.373707\pi\)
−0.995887 + 0.0906021i \(0.971121\pi\)
\(234\) 18.7799 + 1.54061i 0.0802559 + 0.00658382i
\(235\) 188.115 0.800491
\(236\) −6.93008 74.2668i −0.0293647 0.314690i
\(237\) 215.173 275.067i 0.907904 1.16062i
\(238\) 7.50669 + 2.52930i 0.0315407 + 0.0106273i
\(239\) 17.4841 29.0588i 0.0731553 0.121585i −0.818120 0.575047i \(-0.804984\pi\)
0.891276 + 0.453462i \(0.149811\pi\)
\(240\) 51.4601 + 195.819i 0.214417 + 0.815912i
\(241\) −51.0479 + 128.121i −0.211817 + 0.531620i −0.996045 0.0888525i \(-0.971680\pi\)
0.784228 + 0.620473i \(0.213059\pi\)
\(242\) −171.426 + 145.611i −0.708374 + 0.601698i
\(243\) 61.4781 + 235.095i 0.252996 + 0.967467i
\(244\) 58.2407 + 85.8986i 0.238691 + 0.352043i
\(245\) 29.1893 15.4752i 0.119140 0.0631639i
\(246\) 0.677903 + 3.29646i 0.00275570 + 0.0134002i
\(247\) −5.94708 + 21.4195i −0.0240773 + 0.0867184i
\(248\) −114.451 + 45.6015i −0.461496 + 0.183877i
\(249\) 97.2058 43.3488i 0.390385 0.174092i
\(250\) −25.6362 + 2.78810i −0.102545 + 0.0111524i
\(251\) 184.528 + 242.743i 0.735172 + 0.967102i 0.999996 + 0.00280521i \(0.000892927\pi\)
−0.264824 + 0.964297i \(0.585314\pi\)
\(252\) 72.5213 40.9440i 0.287783 0.162476i
\(253\) −609.336 281.909i −2.40844 1.11426i
\(254\) 267.851 43.9119i 1.05453 0.172881i
\(255\) −6.13003 + 12.7825i −0.0240393 + 0.0501274i
\(256\) 185.021 111.324i 0.722740 0.434858i
\(257\) 20.6535 189.906i 0.0803637 0.738932i −0.882751 0.469841i \(-0.844311\pi\)
0.963115 0.269091i \(-0.0867232\pi\)
\(258\) −347.393 + 111.720i −1.34648 + 0.433022i
\(259\) 86.1183 525.298i 0.332503 2.02818i
\(260\) 11.5403 0.625699i 0.0443859 0.00240653i
\(261\) 233.330 + 132.105i 0.893983 + 0.506149i
\(262\) −156.222 + 147.981i −0.596266 + 0.564813i
\(263\) −59.0096 3.19941i −0.224371 0.0121651i −0.0583895 0.998294i \(-0.518597\pi\)
−0.165982 + 0.986129i \(0.553079\pi\)
\(264\) 322.874 266.646i 1.22301 1.01002i
\(265\) −378.041 + 127.377i −1.42657 + 0.480668i
\(266\) −67.8871 201.482i −0.255215 0.757450i
\(267\) 62.2249 + 75.3463i 0.233052 + 0.282196i
\(268\) −2.87366 + 53.0016i −0.0107226 + 0.197767i
\(269\) 48.9799 + 51.7075i 0.182081 + 0.192221i 0.810646 0.585536i \(-0.199116\pi\)
−0.628565 + 0.777757i \(0.716357\pi\)
\(270\) −123.156 298.089i −0.456134 1.10403i
\(271\) 14.4424 + 266.375i 0.0532930 + 0.982932i 0.895859 + 0.444339i \(0.146561\pi\)
−0.842566 + 0.538593i \(0.818956\pi\)
\(272\) −6.03381 0.989193i −0.0221831 0.00363674i
\(273\) 8.50953 + 26.4604i 0.0311704 + 0.0969245i
\(274\) 164.451 + 17.8852i 0.600187 + 0.0652743i
\(275\) 224.459 + 373.054i 0.816216 + 1.35656i
\(276\) 143.224 + 68.6855i 0.518929 + 0.248860i
\(277\) 56.1537 + 342.522i 0.202721 + 1.23654i 0.870494 + 0.492178i \(0.163799\pi\)
−0.667773 + 0.744365i \(0.732753\pi\)
\(278\) −37.3780 + 80.7913i −0.134453 + 0.290616i
\(279\) 110.892 62.6075i 0.397464 0.224400i
\(280\) −366.422 + 278.547i −1.30865 + 0.994809i
\(281\) 32.1930 + 296.010i 0.114566 + 1.05342i 0.900425 + 0.435011i \(0.143256\pi\)
−0.785859 + 0.618405i \(0.787779\pi\)
\(282\) −52.6406 118.042i −0.186669 0.418588i
\(283\) 119.094 + 298.904i 0.420828 + 1.05620i 0.974684 + 0.223586i \(0.0717763\pi\)
−0.553856 + 0.832612i \(0.686844\pi\)
\(284\) −66.7248 18.5260i −0.234946 0.0652326i
\(285\) 372.698 76.6439i 1.30771 0.268926i
\(286\) 15.7212 + 29.6533i 0.0549692 + 0.103683i
\(287\) −4.10892 + 2.78591i −0.0143168 + 0.00970702i
\(288\) −135.955 + 109.149i −0.472066 + 0.378988i
\(289\) 186.817 + 219.939i 0.646427 + 0.761033i
\(290\) −330.608 131.726i −1.14003 0.454229i
\(291\) −247.018 + 64.9149i −0.848858 + 0.223075i
\(292\) −22.5989 13.5973i −0.0773934 0.0465661i
\(293\) −46.6833 + 138.551i −0.159329 + 0.472870i −0.997349 0.0727689i \(-0.976816\pi\)
0.838020 + 0.545639i \(0.183713\pi\)
\(294\) −17.8787 13.9857i −0.0608119 0.0475705i
\(295\) −151.648 398.205i −0.514061 1.34985i
\(296\) 633.229i 2.13929i
\(297\) −293.663 + 317.969i −0.988764 + 1.07060i
\(298\) 170.828 + 102.784i 0.573249 + 0.344912i
\(299\) −32.0825 + 42.2038i −0.107299 + 0.141150i
\(300\) −51.8775 88.9868i −0.172925 0.296623i
\(301\) −348.476 410.258i −1.15773 1.36298i
\(302\) 46.1053 + 99.6549i 0.152666 + 0.329983i
\(303\) −38.1377 + 559.912i −0.125867 + 1.84790i
\(304\) 76.8710 + 144.994i 0.252865 + 0.476954i
\(305\) 451.861 + 383.814i 1.48151 + 1.25841i
\(306\) 9.73635 + 0.269635i 0.0318181 + 0.000881160i
\(307\) −67.4207 169.213i −0.219611 0.551183i 0.777351 0.629067i \(-0.216563\pi\)
−0.996962 + 0.0778840i \(0.975184\pi\)
\(308\) 131.060 + 69.4837i 0.425520 + 0.225596i
\(309\) 8.78970 14.1611i 0.0284456 0.0458287i
\(310\) −134.558 + 102.288i −0.434057 + 0.329961i
\(311\) 378.727 105.153i 1.21777 0.338113i 0.401542 0.915840i \(-0.368474\pi\)
0.816230 + 0.577728i \(0.196060\pi\)
\(312\) −15.0819 29.4245i −0.0483393 0.0943094i
\(313\) −53.4072 325.769i −0.170630 1.04080i −0.923773 0.382940i \(-0.874912\pi\)
0.753143 0.657856i \(-0.228537\pi\)
\(314\) −56.2913 255.734i −0.179272 0.814440i
\(315\) 336.614 336.208i 1.06862 1.06733i
\(316\) −146.306 15.9117i −0.462994 0.0503536i
\(317\) −305.718 207.282i −0.964410 0.653886i −0.0260916 0.999660i \(-0.508306\pi\)
−0.938318 + 0.345774i \(0.887617\pi\)
\(318\) 185.717 + 201.576i 0.584014 + 0.633886i
\(319\) 25.8564 + 476.894i 0.0810546 + 1.49496i
\(320\) 344.788 363.989i 1.07746 1.13746i
\(321\) 37.7843 3.58080i 0.117708 0.0111552i
\(322\) 27.4504 506.293i 0.0852498 1.57234i
\(323\) −2.47016 + 11.2221i −0.00764757 + 0.0347432i
\(324\) 70.5118 74.2586i 0.217629 0.229193i
\(325\) 32.5781 10.9769i 0.100240 0.0337749i
\(326\) −6.84304 + 31.0882i −0.0209909 + 0.0953627i
\(327\) −73.9415 64.5896i −0.226121 0.197522i
\(328\) 4.28735 4.06120i 0.0130712 0.0123817i
\(329\) 131.111 138.412i 0.398513 0.420705i
\(330\) 328.945 470.986i 0.996802 1.42723i
\(331\) 43.8157 267.264i 0.132374 0.807444i −0.834277 0.551346i \(-0.814115\pi\)
0.966651 0.256099i \(-0.0824372\pi\)
\(332\) −37.1235 25.1704i −0.111818 0.0758144i
\(333\) −87.9697 648.590i −0.264173 1.94772i
\(334\) 29.6633 17.8478i 0.0888122 0.0534366i
\(335\) 65.1843 + 296.135i 0.194580 + 0.883986i
\(336\) 179.946 + 98.6165i 0.535554 + 0.293502i
\(337\) 129.025 + 59.6934i 0.382864 + 0.177132i 0.601874 0.798591i \(-0.294421\pi\)
−0.219010 + 0.975723i \(0.570283\pi\)
\(338\) −266.786 + 74.0729i −0.789309 + 0.219151i
\(339\) −453.962 6.28472i −1.33912 0.0185390i
\(340\) 5.93903 0.645908i 0.0174677 0.00189973i
\(341\) 200.404 + 106.248i 0.587696 + 0.311576i
\(342\) −152.387 212.420i −0.445575 0.621110i
\(343\) −86.9923 + 313.318i −0.253622 + 0.913464i
\(344\) 488.037 + 414.542i 1.41871 + 1.20506i
\(345\) 893.342 + 159.185i 2.58940 + 0.461405i
\(346\) −46.8378 69.0806i −0.135369 0.199655i
\(347\) −74.5064 161.043i −0.214716 0.464101i 0.770051 0.637983i \(-0.220231\pi\)
−0.984766 + 0.173882i \(0.944369\pi\)
\(348\) −4.55488 112.901i −0.0130887 0.324429i
\(349\) 138.739 348.209i 0.397533 0.997733i −0.584898 0.811107i \(-0.698865\pi\)
0.982431 0.186626i \(-0.0597553\pi\)
\(350\) −198.980 + 261.754i −0.568514 + 0.747868i
\(351\) 19.5354 + 28.0431i 0.0556565 + 0.0798949i
\(352\) −294.291 99.1583i −0.836055 0.281700i
\(353\) 344.078i 0.974725i −0.873200 0.487363i \(-0.837959\pi\)
0.873200 0.487363i \(-0.162041\pi\)
\(354\) −207.437 + 206.589i −0.585979 + 0.583585i
\(355\) −395.596 −1.11435
\(356\) 13.1487 39.0240i 0.0369346 0.109618i
\(357\) 5.13268 + 13.4194i 0.0143773 + 0.0375893i
\(358\) 150.039 + 114.057i 0.419103 + 0.318594i
\(359\) −648.758 258.489i −1.80712 0.720024i −0.989548 0.144204i \(-0.953938\pi\)
−0.817576 0.575820i \(-0.804683\pi\)
\(360\) −330.452 + 459.462i −0.917921 + 1.27628i
\(361\) −47.7258 + 22.0803i −0.132204 + 0.0611643i
\(362\) 102.580 69.5510i 0.283370 0.192130i
\(363\) −401.628 71.5662i −1.10641 0.197152i
\(364\) 7.58289 8.92727i 0.0208321 0.0245255i
\(365\) −145.175 40.3076i −0.397739 0.110432i
\(366\) 114.397 390.944i 0.312561 1.06815i
\(367\) −266.682 + 503.016i −0.726654 + 1.37061i 0.194299 + 0.980942i \(0.437757\pi\)
−0.920953 + 0.389673i \(0.872588\pi\)
\(368\) 42.3149 + 389.079i 0.114986 + 1.05728i
\(369\) −3.82717 + 4.75533i −0.0103717 + 0.0128871i
\(370\) 232.412 + 837.074i 0.628142 + 2.26236i
\(371\) −169.762 + 366.934i −0.457579 + 0.989041i
\(372\) −47.0607 25.7908i −0.126507 0.0693302i
\(373\) −495.814 + 109.137i −1.32926 + 0.292592i −0.822141 0.569285i \(-0.807220\pi\)
−0.507118 + 0.861877i \(0.669289\pi\)
\(374\) 8.94433 + 14.8656i 0.0239153 + 0.0397476i
\(375\) −33.5079 32.6322i −0.0893545 0.0870193i
\(376\) −127.275 + 187.716i −0.338497 + 0.499246i
\(377\) 37.2146 + 6.10102i 0.0987124 + 0.0161831i
\(378\) −305.165 117.143i −0.807314 0.309902i
\(379\) −23.9094 22.6482i −0.0630856 0.0597578i 0.655507 0.755189i \(-0.272455\pi\)
−0.718593 + 0.695431i \(0.755213\pi\)
\(380\) −110.269 116.410i −0.290182 0.306342i
\(381\) 370.768 + 323.874i 0.973143 + 0.850064i
\(382\) 27.7392 + 6.10586i 0.0726157 + 0.0159839i
\(383\) 215.092 + 638.371i 0.561598 + 1.66676i 0.731931 + 0.681378i \(0.238619\pi\)
−0.170333 + 0.985387i \(0.554484\pi\)
\(384\) −105.638 37.2296i −0.275098 0.0969521i
\(385\) 827.604 + 182.169i 2.14962 + 0.473167i
\(386\) −110.787 6.00672i −0.287014 0.0155614i
\(387\) −557.465 356.799i −1.44048 0.921961i
\(388\) 78.1389 + 74.0171i 0.201389 + 0.190766i
\(389\) −234.704 + 12.7253i −0.603351 + 0.0327127i −0.353285 0.935516i \(-0.614935\pi\)
−0.250067 + 0.968229i \(0.580452\pi\)
\(390\) −30.7365 33.3613i −0.0788116 0.0855417i
\(391\) −15.3783 + 22.6813i −0.0393307 + 0.0580084i
\(392\) −4.30649 + 39.5975i −0.0109860 + 0.101014i
\(393\) −387.382 47.5649i −0.985704 0.121030i
\(394\) 251.844 55.4350i 0.639197 0.140698i
\(395\) −829.650 + 136.014i −2.10038 + 0.344340i
\(396\) 179.110 + 34.4803i 0.452298 + 0.0870715i
\(397\) 161.427 + 581.407i 0.406616 + 1.46450i 0.829598 + 0.558362i \(0.188570\pi\)
−0.422981 + 0.906138i \(0.639016\pi\)
\(398\) 213.460 + 280.801i 0.536331 + 0.705531i
\(399\) 203.367 327.644i 0.509691 0.821162i
\(400\) 118.879 224.230i 0.297198 0.560574i
\(401\) −565.057 + 225.139i −1.40912 + 0.561445i −0.945801 0.324747i \(-0.894721\pi\)
−0.463319 + 0.886192i \(0.653341\pi\)
\(402\) 167.583 123.771i 0.416874 0.307888i
\(403\) 11.5950 13.6507i 0.0287717 0.0338727i
\(404\) 208.950 110.778i 0.517202 0.274203i
\(405\) 274.638 516.515i 0.678119 1.27534i
\(406\) −327.346 + 151.446i −0.806271 + 0.373021i
\(407\) 888.560 754.750i 2.18319 1.85442i
\(408\) −8.60793 14.7654i −0.0210979 0.0361897i
\(409\) 4.49775 + 3.41910i 0.0109970 + 0.00835966i 0.610658 0.791894i \(-0.290905\pi\)
−0.599661 + 0.800254i \(0.704698\pi\)
\(410\) 4.17694 6.94213i 0.0101877 0.0169320i
\(411\) 164.922 + 250.643i 0.401270 + 0.609836i
\(412\) −7.02370 −0.0170478
\(413\) −398.687 165.957i −0.965343 0.401834i
\(414\) −150.097 605.114i −0.362553 1.46163i
\(415\) −242.812 81.8128i −0.585089 0.197139i
\(416\) −12.6420 + 21.0112i −0.0303894 + 0.0505076i
\(417\) −156.157 + 41.0372i −0.374478 + 0.0984106i
\(418\) 172.355 432.579i 0.412333 1.03488i
\(419\) 292.176 248.177i 0.697317 0.592307i −0.227017 0.973891i \(-0.572897\pi\)
0.924334 + 0.381584i \(0.124621\pi\)
\(420\) −195.186 45.8054i −0.464728 0.109060i
\(421\) −361.738 533.524i −0.859236 1.26728i −0.962131 0.272586i \(-0.912121\pi\)
0.102896 0.994692i \(-0.467189\pi\)
\(422\) 392.595 208.141i 0.930319 0.493224i
\(423\) 104.284 209.951i 0.246535 0.496339i
\(424\) 128.668 463.421i 0.303462 1.09297i
\(425\) 16.5080 6.57739i 0.0388424 0.0154762i
\(426\) 110.700 + 248.235i 0.259859 + 0.582711i
\(427\) 597.337 64.9643i 1.39892 0.152141i
\(428\) −9.67915 12.7327i −0.0226148 0.0297493i
\(429\) −23.3130 + 56.2345i −0.0543427 + 0.131083i
\(430\) 797.291 + 368.866i 1.85417 + 0.857828i
\(431\) −150.660 + 24.6995i −0.349560 + 0.0573074i −0.334004 0.942572i \(-0.608400\pi\)
−0.0155555 + 0.999879i \(0.504952\pi\)
\(432\) 247.077 + 51.1214i 0.571937 + 0.118337i
\(433\) 686.972 413.337i 1.58654 0.954589i 0.598371 0.801219i \(-0.295815\pi\)
0.988169 0.153370i \(-0.0490128\pi\)
\(434\) −18.5209 + 170.297i −0.0426749 + 0.392389i
\(435\) −197.619 614.496i −0.454296 1.41263i
\(436\) −6.69351 + 40.8286i −0.0153521 + 0.0936436i
\(437\) 734.429 39.8196i 1.68062 0.0911204i
\(438\) 15.3316 + 102.376i 0.0350036 + 0.233735i
\(439\) −366.741 + 347.396i −0.835402 + 0.791335i −0.980176 0.198130i \(-0.936513\pi\)
0.144774 + 0.989465i \(0.453755\pi\)
\(440\) −1006.59 54.5760i −2.28772 0.124036i
\(441\) −1.09003 41.1564i −0.00247172 0.0933251i
\(442\) 1.29818 0.437409i 0.00293707 0.000989614i
\(443\) −103.331 306.675i −0.233253 0.692269i −0.998804 0.0488942i \(-0.984430\pi\)
0.765551 0.643375i \(-0.222466\pi\)
\(444\) −212.674 + 175.638i −0.478996 + 0.395580i
\(445\) 12.7359 234.900i 0.0286201 0.527866i
\(446\) 130.587 + 137.860i 0.292797 + 0.309102i
\(447\) 53.5556 + 357.615i 0.119811 + 0.800034i
\(448\) −27.5093 507.378i −0.0614046 1.13254i
\(449\) −471.338 77.2720i −1.04975 0.172098i −0.387875 0.921712i \(-0.626791\pi\)
−0.661875 + 0.749614i \(0.730239\pi\)
\(450\) −139.647 + 379.406i −0.310326 + 0.843124i
\(451\) −10.8089 1.17554i −0.0239665 0.00260651i
\(452\) 98.6367 + 163.936i 0.218223 + 0.362689i
\(453\) −86.1183 + 179.576i −0.190107 + 0.396415i
\(454\) −82.0977 500.774i −0.180832 1.10303i
\(455\) 28.0960 60.7285i 0.0617494 0.133469i
\(456\) −175.679 + 423.764i −0.385260 + 0.929307i
\(457\) −330.263 + 251.060i −0.722677 + 0.549365i −0.900584 0.434683i \(-0.856861\pi\)
0.177907 + 0.984047i \(0.443067\pi\)
\(458\) 34.7741 + 319.743i 0.0759260 + 0.698128i
\(459\) 10.8680 + 13.9278i 0.0236775 + 0.0303437i
\(460\) −141.538 355.234i −0.307691 0.772247i
\(461\) −199.847 55.4872i −0.433508 0.120363i 0.0439177 0.999035i \(-0.486016\pi\)
−0.477425 + 0.878672i \(0.658430\pi\)
\(462\) −117.279 570.295i −0.253850 1.23441i
\(463\) −254.701 480.417i −0.550110 1.03762i −0.990199 0.139664i \(-0.955398\pi\)
0.440089 0.897954i \(-0.354947\pi\)
\(464\) 230.432 156.237i 0.496621 0.336718i
\(465\) −298.459 70.0411i −0.641847 0.150626i
\(466\) −294.935 347.224i −0.632907 0.745116i
\(467\) 707.651 + 281.954i 1.51531 + 0.603755i 0.971834 0.235668i \(-0.0757277\pi\)
0.543478 + 0.839423i \(0.317107\pi\)
\(468\) 5.69922 13.2268i 0.0121778 0.0282624i
\(469\) 263.323 + 158.436i 0.561456 + 0.337817i
\(470\) −99.3494 + 294.858i −0.211382 + 0.627358i
\(471\) 292.631 374.086i 0.621298 0.794238i
\(472\) 499.963 + 118.091i 1.05924 + 0.250193i
\(473\) 1178.92i 2.49243i
\(474\) 317.510 + 482.541i 0.669853 + 1.01802i
\(475\) −408.682 245.896i −0.860383 0.517675i
\(476\) 3.66408 4.82001i 0.00769764 0.0101261i
\(477\) −67.4098 + 492.537i −0.141320 + 1.03257i
\(478\) 36.3139 + 42.7520i 0.0759705 + 0.0894394i
\(479\) 257.800 + 557.225i 0.538204 + 1.16331i 0.965788 + 0.259333i \(0.0835028\pi\)
−0.427584 + 0.903976i \(0.640635\pi\)
\(480\) 418.749 + 28.5226i 0.872394 + 0.0594220i
\(481\) −43.1199 81.3327i −0.0896463 0.169091i
\(482\) −173.861 147.679i −0.360707 0.306387i
\(483\) 739.758 546.358i 1.53159 1.13118i
\(484\) 63.6326 + 159.706i 0.131472 + 0.329971i
\(485\) 543.231 + 288.003i 1.12006 + 0.593820i
\(486\) −400.964 27.7977i −0.825028 0.0571969i
\(487\) 634.211 482.114i 1.30228 0.989968i 0.302964 0.953002i \(-0.402024\pi\)
0.999317 0.0369662i \(-0.0117694\pi\)
\(488\) −688.719 + 191.222i −1.41131 + 0.391848i
\(489\) −51.3805 + 26.3356i −0.105073 + 0.0538560i
\(490\) 8.84058 + 53.9252i 0.0180420 + 0.110051i
\(491\) −34.1874 155.315i −0.0696281 0.316324i 0.928914 0.370294i \(-0.120743\pi\)
−0.998543 + 0.0539709i \(0.982812\pi\)
\(492\) 2.55316 + 0.313491i 0.00518935 + 0.000637177i
\(493\) 19.3790 + 2.10760i 0.0393084 + 0.00427504i
\(494\) −30.4328 20.6339i −0.0616048 0.0417691i
\(495\) 1038.59 83.9387i 2.09817 0.169573i
\(496\) −7.15848 132.030i −0.0144324 0.266190i
\(497\) −275.718 + 291.072i −0.554765 + 0.585659i
\(498\) 16.6091 + 175.257i 0.0333516 + 0.351923i
\(499\) −42.6962 + 787.484i −0.0855635 + 1.57812i 0.569141 + 0.822240i \(0.307276\pi\)
−0.654704 + 0.755885i \(0.727207\pi\)
\(500\) −4.23712 + 19.2494i −0.00847424 + 0.0384989i
\(501\) 59.2201 + 20.8708i 0.118204 + 0.0416583i
\(502\) −477.938 + 161.036i −0.952068 + 0.320789i
\(503\) −15.1580 + 68.8637i −0.0301353 + 0.136906i −0.989286 0.145989i \(-0.953364\pi\)
0.959151 + 0.282895i \(0.0912947\pi\)
\(504\) 107.749 + 563.372i 0.213787 + 1.11780i
\(505\) 980.847 929.108i 1.94227 1.83982i
\(506\) 763.682 806.210i 1.50925 1.59330i
\(507\) −411.719 287.551i −0.812068 0.567162i
\(508\) 33.5635 204.728i 0.0660699 0.403009i
\(509\) −132.348 89.7344i −0.260016 0.176295i 0.424213 0.905563i \(-0.360551\pi\)
−0.684229 + 0.729267i \(0.739861\pi\)
\(510\) −16.7983 16.3592i −0.0329378 0.0320769i
\(511\) −130.840 + 78.7238i −0.256047 + 0.154058i
\(512\) 108.881 + 494.652i 0.212659 + 0.966118i
\(513\) 121.070 458.449i 0.236004 0.893664i
\(514\) 286.757 + 132.668i 0.557893 + 0.258109i
\(515\) −38.6615 + 10.7343i −0.0750709 + 0.0208433i
\(516\) −3.86102 + 278.892i −0.00748260 + 0.540488i
\(517\) 415.108 45.1457i 0.802916 0.0873224i
\(518\) 777.889 + 412.411i 1.50172 + 0.796159i
\(519\) 42.5139 145.288i 0.0819150 0.279939i
\(520\) −21.2949 + 76.6972i −0.0409517 + 0.147495i
\(521\) −121.611 103.297i −0.233418 0.198267i 0.523042 0.852307i \(-0.324797\pi\)
−0.756460 + 0.654040i \(0.773073\pi\)
\(522\) −330.294 + 295.960i −0.632748 + 0.566974i
\(523\) −104.318 153.858i −0.199462 0.294184i 0.714783 0.699346i \(-0.246525\pi\)
−0.914245 + 0.405162i \(0.867215\pi\)
\(524\) 69.0600 + 149.271i 0.131794 + 0.284868i
\(525\) −595.878 + 24.0401i −1.13501 + 0.0457906i
\(526\) 36.1796 90.8040i 0.0687826 0.172631i
\(527\) 5.60275 7.37029i 0.0106314 0.0139854i
\(528\) 160.550 + 419.757i 0.304072 + 0.794995i
\(529\) 1160.92 + 391.159i 2.19455 + 0.739430i
\(530\) 659.827i 1.24496i
\(531\) −528.497 51.4997i −0.995286 0.0969862i
\(532\) −162.507 −0.305464
\(533\) −0.274125 + 0.813574i −0.000514306 + 0.00152641i
\(534\) −150.963 + 57.7408i −0.282703 + 0.108129i
\(535\) −72.7376 55.2937i −0.135958 0.103353i
\(536\) −339.610 135.313i −0.633601 0.252450i
\(537\) 13.7799 + 341.561i 0.0256609 + 0.636054i
\(538\) −106.916 + 49.4645i −0.198728 + 0.0919415i
\(539\) 60.6971 41.1537i 0.112611 0.0763519i
\(540\) −245.970 + 16.4555i −0.455501 + 0.0304732i
\(541\) −413.174 + 486.426i −0.763723 + 0.899124i −0.997317 0.0732102i \(-0.976676\pi\)
0.233594 + 0.972334i \(0.424951\pi\)
\(542\) −425.152 118.043i −0.784414 0.217791i
\(543\) 215.743 + 63.1302i 0.397317 + 0.116262i
\(544\) −5.93716 + 11.1987i −0.0109139 + 0.0205858i
\(545\) 25.5543 + 234.968i 0.0468886 + 0.431134i
\(546\) −45.9691 0.636404i −0.0841925 0.00116557i
\(547\) 139.866 + 503.751i 0.255696 + 0.920934i 0.974251 + 0.225464i \(0.0723899\pi\)
−0.718555 + 0.695470i \(0.755196\pi\)
\(548\) 53.0897 114.752i 0.0968791 0.209401i
\(549\) 678.862 291.539i 1.23654 0.531037i
\(550\) −703.282 + 154.804i −1.27869 + 0.281462i
\(551\) −269.741 448.312i −0.489547 0.813634i
\(552\) −763.264 + 783.746i −1.38272 + 1.41983i
\(553\) −478.164 + 705.239i −0.864673 + 1.27530i
\(554\) −566.538 92.8792i −1.02263 0.167652i
\(555\) −902.226 + 1291.82i −1.62563 + 2.32760i
\(556\) 49.3970 + 46.7914i 0.0888436 + 0.0841571i
\(557\) 41.5546 + 43.8686i 0.0746043 + 0.0787588i 0.762229 0.647308i \(-0.224105\pi\)
−0.687625 + 0.726066i \(0.741346\pi\)
\(558\) 39.5676 + 206.882i 0.0709096 + 0.370756i
\(559\) −90.9125 20.0114i −0.162634 0.0357985i
\(560\) −157.730 468.126i −0.281661 0.835940i
\(561\) −10.4593 + 29.6778i −0.0186440 + 0.0529017i
\(562\) −480.978 105.871i −0.855834 0.188383i
\(563\) 609.019 + 33.0201i 1.08174 + 0.0586502i 0.586379 0.810037i \(-0.300553\pi\)
0.495361 + 0.868687i \(0.335036\pi\)
\(564\) −98.3480 + 9.32041i −0.174376 + 0.0165255i
\(565\) 793.482 + 751.626i 1.40439 + 1.33031i
\(566\) −531.410 + 28.8122i −0.938887 + 0.0509049i
\(567\) −188.628 562.070i −0.332677 0.991304i
\(568\) 267.652 394.757i 0.471218 0.694994i
\(569\) −20.0501 + 184.357i −0.0352374 + 0.324002i 0.963231 + 0.268675i \(0.0865857\pi\)
−0.998468 + 0.0553273i \(0.982380\pi\)
\(570\) −76.6990 + 624.658i −0.134560 + 1.09589i
\(571\) −431.106 + 94.8935i −0.755001 + 0.166188i −0.575762 0.817617i \(-0.695295\pi\)
−0.179239 + 0.983806i \(0.557364\pi\)
\(572\) 25.3155 4.15027i 0.0442579 0.00725571i
\(573\) 23.4986 + 45.8454i 0.0410097 + 0.0800095i
\(574\) −2.19670 7.91178i −0.00382700 0.0137836i
\(575\) −688.352 905.512i −1.19713 1.57480i
\(576\) −215.102 586.593i −0.373440 1.01839i
\(577\) 99.5249 187.724i 0.172487 0.325345i −0.782164 0.623073i \(-0.785884\pi\)
0.954651 + 0.297728i \(0.0962289\pi\)
\(578\) −443.403 + 176.668i −0.767134 + 0.305654i
\(579\) −119.554 161.874i −0.206484 0.279576i
\(580\) −176.099 + 207.320i −0.303619 + 0.357448i
\(581\) −229.429 + 121.636i −0.394887 + 0.209356i
\(582\) 28.7077 421.468i 0.0493260 0.724171i
\(583\) −803.642 + 371.805i −1.37846 + 0.637744i
\(584\) 138.444 117.596i 0.237062 0.201362i
\(585\) 11.1565 81.5161i 0.0190709 0.139344i
\(586\) −192.515 146.346i −0.328523 0.249737i
\(587\) −201.564 + 335.002i −0.343379 + 0.570701i −0.979637 0.200775i \(-0.935654\pi\)
0.636258 + 0.771476i \(0.280481\pi\)
\(588\) −14.4936 + 9.53674i −0.0246490 + 0.0162189i
\(589\) −248.489 −0.421883
\(590\) 704.251 27.3940i 1.19365 0.0464305i
\(591\) 368.395 + 288.180i 0.623342 + 0.487613i
\(592\) −644.030 216.999i −1.08789 0.366552i
\(593\) −244.596 + 406.522i −0.412472 + 0.685534i −0.991548 0.129739i \(-0.958586\pi\)
0.579076 + 0.815274i \(0.303413\pi\)
\(594\) −343.303 628.226i −0.577951 1.05762i
\(595\) 12.8023 32.1312i 0.0215164 0.0540021i
\(596\) 116.140 98.6506i 0.194867 0.165521i
\(597\) −146.165 + 622.839i −0.244833 + 1.04328i
\(598\) −49.2079 72.5763i −0.0822875 0.121365i
\(599\) 669.556 354.976i 1.11779 0.592614i 0.196116 0.980581i \(-0.437167\pi\)
0.921674 + 0.387966i \(0.126822\pi\)
\(600\) 694.883 142.900i 1.15814 0.238166i
\(601\) −186.814 + 672.842i −0.310838 + 1.11954i 0.628856 + 0.777522i \(0.283524\pi\)
−0.939694 + 0.342016i \(0.888890\pi\)
\(602\) 827.094 329.544i 1.37391 0.547416i
\(603\) 366.646 + 91.4160i 0.608037 + 0.151602i
\(604\) 83.4349 9.07409i 0.138137 0.0150233i
\(605\) 594.339 + 781.840i 0.982379 + 1.29230i
\(606\) −857.484 355.485i −1.41499 0.586609i
\(607\) 822.280 + 380.427i 1.35466 + 0.626733i 0.956809 0.290716i \(-0.0938935\pi\)
0.397852 + 0.917449i \(0.369756\pi\)
\(608\) 335.724 55.0391i 0.552177 0.0905249i
\(609\) −589.870 282.881i −0.968587 0.464501i
\(610\) −840.244 + 505.558i −1.37745 + 0.828784i
\(611\) 3.56475 32.7774i 0.00583430 0.0536455i
\(612\) 2.57150 6.98649i 0.00420180 0.0114158i
\(613\) −3.18674 + 19.4382i −0.00519859 + 0.0317100i −0.989298 0.145906i \(-0.953390\pi\)
0.984100 + 0.177616i \(0.0568385\pi\)
\(614\) 300.838 16.3109i 0.489963 0.0265650i
\(615\) 14.5328 2.17640i 0.0236306 0.00353886i
\(616\) −741.723 + 702.597i −1.20410 + 1.14058i
\(617\) −238.550 12.9338i −0.386628 0.0209624i −0.140199 0.990123i \(-0.544774\pi\)
−0.246429 + 0.969161i \(0.579257\pi\)
\(618\) 17.5545 + 21.2562i 0.0284053 + 0.0343951i
\(619\) −320.901 + 108.124i −0.518418 + 0.174675i −0.566334 0.824176i \(-0.691639\pi\)
0.0479159 + 0.998851i \(0.484742\pi\)
\(620\) 41.2506 + 122.427i 0.0665332 + 0.197464i
\(621\) 672.899 908.793i 1.08357 1.46344i
\(622\) −35.1967 + 649.164i −0.0565863 + 1.04367i
\(623\) −163.959 173.089i −0.263177 0.277832i
\(624\) 35.0948 5.25572i 0.0562417 0.00842262i
\(625\) −30.6627 565.540i −0.0490603 0.904864i
\(626\) 538.828 + 88.3364i 0.860747 + 0.141112i
\(627\) 804.028 258.571i 1.28234 0.412394i
\(628\) −198.973 21.6396i −0.316836 0.0344580i
\(629\) −24.5324 40.7731i −0.0390022 0.0648222i
\(630\) 349.208 + 705.182i 0.554298 + 1.11934i
\(631\) −148.890 908.189i −0.235959 1.43928i −0.793214 0.608943i \(-0.791594\pi\)
0.557255 0.830341i \(-0.311855\pi\)
\(632\) 425.598 919.915i 0.673414 1.45556i
\(633\) 744.516 + 308.652i 1.17617 + 0.487602i
\(634\) 486.360 369.721i 0.767129 0.583156i
\(635\) −128.138 1178.21i −0.201792 1.85545i
\(636\) 191.332 85.3241i 0.300836 0.134157i
\(637\) −2.14327 5.37921i −0.00336464 0.00844461i
\(638\) −761.155 211.334i −1.19303 0.331244i
\(639\) −219.304 + 441.516i −0.343199 + 0.690948i
\(640\) 126.302 + 238.230i 0.197346 + 0.372234i
\(641\) −445.793 + 302.255i −0.695465 + 0.471537i −0.856991 0.515332i \(-0.827669\pi\)
0.161526 + 0.986868i \(0.448358\pi\)
\(642\) −14.3423 + 61.1155i −0.0223401 + 0.0951955i
\(643\) 194.959 + 229.523i 0.303202 + 0.356957i 0.892571 0.450907i \(-0.148899\pi\)
−0.589369 + 0.807864i \(0.700624\pi\)
\(644\) −360.022 143.446i −0.559041 0.222742i
\(645\) 404.977 + 1541.04i 0.627871 + 2.38921i
\(646\) −16.2853 9.79853i −0.0252094 0.0151680i
\(647\) −343.005 + 1018.00i −0.530147 + 1.57342i 0.263258 + 0.964725i \(0.415203\pi\)
−0.793405 + 0.608694i \(0.791694\pi\)
\(648\) 329.605 + 623.519i 0.508649 + 0.962221i
\(649\) −430.202 842.313i −0.662869 1.29786i
\(650\) 56.8613i 0.0874789i
\(651\) −259.552 + 170.784i −0.398697 + 0.262341i
\(652\) 20.8480 + 12.5438i 0.0319754 + 0.0192390i
\(653\) −93.0666 + 122.427i −0.142522 + 0.187484i −0.861815 0.507222i \(-0.830672\pi\)
0.719294 + 0.694706i \(0.244466\pi\)
\(654\) 140.291 81.7867i 0.214512 0.125056i
\(655\) 608.267 + 716.107i 0.928652 + 1.09329i
\(656\) 2.66125 + 5.75221i 0.00405679 + 0.00876861i
\(657\) −125.466 + 139.681i −0.190968 + 0.212605i
\(658\) 147.708 + 278.607i 0.224480 + 0.423415i
\(659\) −260.451 221.229i −0.395221 0.335704i 0.427637 0.903950i \(-0.359346\pi\)
−0.822858 + 0.568247i \(0.807622\pi\)
\(660\) −260.868 353.210i −0.395254 0.535166i
\(661\) −220.469 553.336i −0.333539 0.837119i −0.996110 0.0881201i \(-0.971914\pi\)
0.662571 0.748999i \(-0.269465\pi\)
\(662\) 395.779 + 209.829i 0.597853 + 0.316962i
\(663\) 2.11107 + 1.31033i 0.00318412 + 0.00197636i
\(664\) 245.921 186.944i 0.370363 0.281542i
\(665\) −894.508 + 248.359i −1.34512 + 0.373472i
\(666\) 1063.08 + 204.653i 1.59622 + 0.307287i
\(667\) −201.862 1231.31i −0.302642 1.84604i
\(668\) −5.68820 25.8417i −0.00851527 0.0386853i
\(669\) −41.9742 + 341.849i −0.0627417 + 0.510986i
\(670\) −498.599 54.2259i −0.744177 0.0809341i
\(671\) 1089.22 + 738.507i 1.62327 + 1.10061i
\(672\) 312.842 288.229i 0.465539 0.428912i
\(673\) −3.88710 71.6934i −0.00577578 0.106528i 0.994224 0.107326i \(-0.0342288\pi\)
−1.00000 0.000797798i \(0.999746\pi\)
\(674\) −161.707 + 170.713i −0.239922 + 0.253283i
\(675\) −691.887 + 242.901i −1.02502 + 0.359853i
\(676\) −11.4574 + 211.318i −0.0169487 + 0.312601i
\(677\) −80.3516 + 365.041i −0.118688 + 0.539204i 0.879327 + 0.476219i \(0.157993\pi\)
−0.998014 + 0.0629848i \(0.979938\pi\)
\(678\) 249.602 708.236i 0.368144 1.04460i
\(679\) 590.523 198.970i 0.869695 0.293034i
\(680\) −8.84498 + 40.1832i −0.0130073 + 0.0590929i
\(681\) 605.515 693.187i 0.889156 1.01790i
\(682\) −272.376 + 258.008i −0.399378 + 0.378311i
\(683\) −480.976 + 507.760i −0.704211 + 0.743426i −0.975723 0.219009i \(-0.929718\pi\)
0.271512 + 0.962435i \(0.412476\pi\)
\(684\) −191.052 + 58.5357i −0.279316 + 0.0855786i
\(685\) 116.854 712.779i 0.170590 1.04055i
\(686\) −445.162 301.828i −0.648925 0.439982i
\(687\) −406.999 + 417.921i −0.592430 + 0.608328i
\(688\) −588.857 + 354.304i −0.855897 + 0.514976i
\(689\) 15.0305 + 68.2841i 0.0218149 + 0.0991060i
\(690\) −721.312 + 1316.18i −1.04538 + 1.90751i
\(691\) −316.645 146.496i −0.458242 0.212005i 0.177168 0.984181i \(-0.443307\pi\)
−0.635409 + 0.772176i \(0.719169\pi\)
\(692\) −61.4679 + 17.0665i −0.0888264 + 0.0246625i
\(693\) 662.109 822.683i 0.955424 1.18713i
\(694\) 291.773 31.7323i 0.420423 0.0457237i
\(695\) 343.414 + 182.067i 0.494121 + 0.261966i
\(696\) 746.898 + 218.555i 1.07313 + 0.314016i
\(697\) −0.118722 + 0.427597i −0.000170333 + 0.000613483i
\(698\) 472.522 + 401.364i 0.676966 + 0.575020i
\(699\) 144.957 813.497i 0.207378 1.16380i
\(700\) 141.033 + 208.009i 0.201476 + 0.297155i
\(701\) −258.589 558.932i −0.368886 0.797335i −0.999770 0.0214573i \(-0.993169\pi\)
0.630883 0.775878i \(-0.282693\pi\)
\(702\) −54.2730 + 15.8101i −0.0773120 + 0.0225215i
\(703\) −472.734 + 1186.47i −0.672452 + 1.68773i
\(704\) 673.479 885.947i 0.956647 1.25845i
\(705\) −527.105 + 201.609i −0.747667 + 0.285970i
\(706\) 539.320 + 181.718i 0.763909 + 0.257391i
\(707\) 1369.25i 1.93671i
\(708\) 99.0122 + 200.671i 0.139848 + 0.283433i
\(709\) 386.961 0.545784 0.272892 0.962045i \(-0.412020\pi\)
0.272892 + 0.962045i \(0.412020\pi\)
\(710\) 208.926 620.070i 0.294262 0.873338i
\(711\) −308.125 + 1001.36i −0.433369 + 1.40838i
\(712\) 225.785 + 171.638i 0.317114 + 0.241064i
\(713\) −550.511 219.343i −0.772105 0.307635i
\(714\) −23.7447 + 0.957957i −0.0332559 + 0.00134168i
\(715\) 133.005 61.5345i 0.186021 0.0860623i
\(716\) 119.232 80.8412i 0.166525 0.112907i
\(717\) −17.8479 + 100.162i −0.0248925 + 0.139696i
\(718\) 747.793 880.370i 1.04149 1.22614i
\(719\) 705.031 + 195.751i 0.980571 + 0.272254i 0.720591 0.693360i \(-0.243870\pi\)
0.259980 + 0.965614i \(0.416284\pi\)
\(720\) −354.058 493.540i −0.491747 0.685472i
\(721\) −19.0478 + 35.9280i −0.0264186 + 0.0498308i
\(722\) −9.40399 86.4683i −0.0130249 0.119762i
\(723\) 5.72744 413.708i 0.00792177 0.572210i
\(724\) −25.3426 91.2757i −0.0350036 0.126071i
\(725\) −339.742 + 734.341i −0.468610 + 1.01288i
\(726\) 324.287 591.730i 0.446677 0.815055i
\(727\) 602.830 132.693i 0.829202 0.182521i 0.219963 0.975508i \(-0.429406\pi\)
0.609238 + 0.792987i \(0.291475\pi\)
\(728\) 41.5906 + 69.1241i 0.0571299 + 0.0949507i
\(729\) −424.221 592.855i −0.581922 0.813244i
\(730\) 139.851 206.264i 0.191576 0.282554i
\(731\) −47.4845 7.78468i −0.0649582 0.0106494i
\(732\) −255.252 178.272i −0.348705 0.243542i
\(733\) −919.677 871.165i −1.25468 1.18849i −0.973462 0.228847i \(-0.926505\pi\)
−0.281213 0.959645i \(-0.590737\pi\)
\(734\) −647.601 683.664i −0.882291 0.931423i
\(735\) −65.2041 + 74.6449i −0.0887131 + 0.101558i
\(736\) 792.356 + 174.411i 1.07657 + 0.236971i
\(737\) 214.910 + 637.829i 0.291600 + 0.865439i
\(738\) −5.43242 8.51027i −0.00736100 0.0115315i
\(739\) −1348.01 296.719i −1.82410 0.401515i −0.835181 0.549975i \(-0.814637\pi\)
−0.988918 + 0.148461i \(0.952568\pi\)
\(740\) 663.036 + 35.9488i 0.895995 + 0.0485794i
\(741\) −6.29192 66.3917i −0.00849112 0.0895974i
\(742\) −485.489 459.880i −0.654298 0.619784i
\(743\) 1454.72 78.8726i 1.95790 0.106154i 0.968280 0.249866i \(-0.0803866\pi\)
0.989620 + 0.143712i \(0.0459039\pi\)
\(744\) 271.824 250.438i 0.365354 0.336610i
\(745\) 488.520 720.513i 0.655732 0.967132i
\(746\) 90.7893 834.794i 0.121701 1.11903i
\(747\) −225.916 + 225.643i −0.302431 + 0.302066i
\(748\) 12.9504 2.85061i 0.0173134 0.00381097i
\(749\) −91.3801 + 14.9810i −0.122003 + 0.0200013i
\(750\) 68.8454 35.2874i 0.0917939 0.0470499i
\(751\) 319.041 + 1149.08i 0.424821 + 1.53007i 0.798202 + 0.602390i \(0.205785\pi\)
−0.373381 + 0.927678i \(0.621802\pi\)
\(752\) −147.303 193.774i −0.195882 0.257678i
\(753\) −777.208 482.409i −1.03215 0.640649i
\(754\) −29.2171 + 55.1093i −0.0387494 + 0.0730892i
\(755\) 445.394 177.461i 0.589926 0.235048i
\(756\) −159.326 + 192.450i −0.210749 + 0.254563i
\(757\) −51.3319 + 60.4325i −0.0678096 + 0.0798316i −0.795021 0.606582i \(-0.792540\pi\)
0.727211 + 0.686414i \(0.240816\pi\)
\(758\) 48.1269 25.5153i 0.0634919 0.0336613i
\(759\) 2009.51 + 136.875i 2.64758 + 0.180336i
\(760\) 1002.28 463.703i 1.31879 0.610135i
\(761\) −288.841 + 245.343i −0.379554 + 0.322396i −0.816773 0.576959i \(-0.804239\pi\)
0.437219 + 0.899355i \(0.355963\pi\)
\(762\) −703.465 + 410.106i −0.923183 + 0.538197i
\(763\) 190.696 + 144.963i 0.249929 + 0.189991i
\(764\) 11.1925 18.6021i 0.0146499 0.0243483i
\(765\) 3.47720 42.3867i 0.00454536 0.0554075i
\(766\) −1114.20 −1.45457
\(767\) −72.2574 + 18.8774i −0.0942078 + 0.0246119i
\(768\) −399.127 + 510.226i −0.519697 + 0.664356i
\(769\) 362.917 + 122.281i 0.471933 + 0.159013i 0.545211 0.838299i \(-0.316449\pi\)
−0.0732780 + 0.997312i \(0.523346\pi\)
\(770\) −722.621 + 1201.01i −0.938469 + 1.55975i
\(771\) 145.656 + 554.257i 0.188918 + 0.718880i
\(772\) −31.3890 + 78.7803i −0.0406593 + 0.102047i
\(773\) 294.435 250.096i 0.380900 0.323539i −0.436399 0.899753i \(-0.643746\pi\)