Properties

Label 983.2.c.a.2.2
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 983 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 983.c (of order \(491\), degree \(490\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.84929451869\)
Analytic rank: \(0\)
Dimension: \(39690\)
Relative dimension: \(81\) over \(\Q(\zeta_{491})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{491}]$

Embedding invariants

Embedding label 2.2
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.882011 + 2.63403i) q^{2} +(-2.15731 - 1.21201i) q^{3} +(-4.56345 - 3.44211i) q^{4} +(-0.627390 + 0.946311i) q^{5} +(5.09524 - 4.61342i) q^{6} +(1.88896 - 4.16828i) q^{7} +(8.51098 - 5.84075i) q^{8} +(1.62450 + 2.66720i) q^{9} +O(q^{10})\) \(q+(-0.882011 + 2.63403i) q^{2} +(-2.15731 - 1.21201i) q^{3} +(-4.56345 - 3.44211i) q^{4} +(-0.627390 + 0.946311i) q^{5} +(5.09524 - 4.61342i) q^{6} +(1.88896 - 4.16828i) q^{7} +(8.51098 - 5.84075i) q^{8} +(1.62450 + 2.66720i) q^{9} +(-1.93925 - 2.48722i) q^{10} +(3.56400 + 0.228349i) q^{11} +(5.67292 + 12.9567i) q^{12} +(-4.54880 - 5.25576i) q^{13} +(9.31328 + 8.65203i) q^{14} +(2.50041 - 1.28109i) q^{15} +(4.73698 + 16.5776i) q^{16} +(-3.62737 + 1.60205i) q^{17} +(-8.45830 + 1.92649i) q^{18} +(0.610047 + 0.466299i) q^{19} +(6.12037 - 2.15889i) q^{20} +(-9.12707 + 6.70285i) q^{21} +(-3.74496 + 9.18626i) q^{22} +(-0.602297 - 5.68382i) q^{23} +(-25.4399 + 2.28495i) q^{24} +(1.44473 + 3.41809i) q^{25} +(17.8559 - 7.34602i) q^{26} +(-0.0107060 - 0.304100i) q^{27} +(-22.9678 + 12.5197i) q^{28} +(5.29720 - 7.66624i) q^{29} +(1.16903 + 7.71610i) q^{30} +(0.235219 + 0.349906i) q^{31} +(-27.2200 - 1.21996i) q^{32} +(-7.41190 - 4.81222i) q^{33} +(-1.02046 - 10.9676i) q^{34} +(2.75937 + 4.40267i) q^{35} +(1.76747 - 17.7633i) q^{36} +(-2.15666 + 0.534947i) q^{37} +(-1.76631 + 1.19560i) q^{38} +(3.44314 + 16.8515i) q^{39} +(0.187463 + 11.7185i) q^{40} +(-3.92396 - 0.352439i) q^{41} +(-9.60533 - 29.9529i) q^{42} +(1.50525 + 2.06346i) q^{43} +(-15.4781 - 13.3097i) q^{44} +(-3.54319 - 0.136091i) q^{45} +(15.5026 + 3.42673i) q^{46} +(0.417279 + 1.39261i) q^{47} +(9.87310 - 41.5044i) q^{48} +(-9.19166 - 10.4839i) q^{49} +(-10.2776 + 0.790673i) q^{50} +(9.76707 + 0.940287i) q^{51} +(2.66727 + 39.6419i) q^{52} +(2.26351 - 2.07598i) q^{53} +(0.810451 + 0.240019i) q^{54} +(-2.45210 + 3.22938i) q^{55} +(-8.26901 - 46.5091i) q^{56} +(-0.750903 - 1.74534i) q^{57} +(15.5209 + 20.7147i) q^{58} +(-1.43389 - 0.110311i) q^{59} +(-15.8202 - 2.76054i) q^{60} +(7.77326 + 6.59824i) q^{61} +(-1.12913 + 0.310954i) q^{62} +(14.1862 - 1.73315i) q^{63} +(14.8198 - 38.4474i) q^{64} +(7.82745 - 1.00716i) q^{65} +(19.2129 - 15.2787i) q^{66} +(-0.976266 + 0.839498i) q^{67} +(22.0677 + 5.17495i) q^{68} +(-5.58951 + 12.9918i) q^{69} +(-14.0306 + 3.38506i) q^{70} +(1.43470 - 1.17120i) q^{71} +(29.4046 + 13.2122i) q^{72} +(-6.48811 - 4.63820i) q^{73} +(0.493128 - 6.15253i) q^{74} +(1.02602 - 9.12493i) q^{75} +(-1.17886 - 4.22778i) q^{76} +(7.68405 - 14.4244i) q^{77} +(-47.4243 - 5.79388i) q^{78} +(-4.13206 + 0.612511i) q^{79} +(-18.6595 - 5.91798i) q^{80} +(3.95326 - 7.65549i) q^{81} +(4.38931 - 10.0250i) q^{82} +(-5.74909 + 1.78295i) q^{83} +(64.7229 + 0.828285i) q^{84} +(0.759740 - 4.43773i) q^{85} +(-6.76286 + 2.14488i) q^{86} +(-20.7193 + 10.1182i) q^{87} +(31.6668 - 18.8730i) q^{88} +(6.79640 + 4.47468i) q^{89} +(3.48360 - 9.21284i) q^{90} +(-30.5000 + 9.03273i) q^{91} +(-16.8158 + 28.0110i) q^{92} +(-0.0833521 - 1.03995i) q^{93} +(-4.03622 - 0.129170i) q^{94} +(-0.824001 + 0.284742i) q^{95} +(57.2435 + 35.6228i) q^{96} +(-10.9232 + 0.559612i) q^{97} +(35.7220 - 14.9642i) q^{98} +(5.18066 + 9.87684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 39690 q - 489 q^{2} - 487 q^{3} - 565 q^{4} - 485 q^{5} - 477 q^{6} - 489 q^{7} - 485 q^{8} - 558 q^{9} - 471 q^{10} - 477 q^{11} - 463 q^{12} - 483 q^{13} - 473 q^{14} - 461 q^{15} - 543 q^{16} - 481 q^{17} - 457 q^{18} - 473 q^{19} - 449 q^{20} - 449 q^{21} - 459 q^{22} - 473 q^{23} - 405 q^{24} - 552 q^{25} - 437 q^{26} - 451 q^{27} - 455 q^{28} - 455 q^{29} - 379 q^{30} - 459 q^{31} - 437 q^{32} - 447 q^{33} - 423 q^{34} - 439 q^{35} - 459 q^{36} - 475 q^{37} - 423 q^{38} - 439 q^{39} - 413 q^{40} - 455 q^{41} - 407 q^{42} - 457 q^{43} - 413 q^{44} - 397 q^{45} - 415 q^{46} - 467 q^{47} - 393 q^{48} - 524 q^{49} - 429 q^{50} - 403 q^{51} - 391 q^{52} - 431 q^{53} - 379 q^{54} - 415 q^{55} - 371 q^{56} - 447 q^{57} - 431 q^{58} - 439 q^{59} - 261 q^{60} - 431 q^{61} - 383 q^{62} - 445 q^{63} - 447 q^{64} - 415 q^{65} - 345 q^{66} - 439 q^{67} - 409 q^{68} - 367 q^{69} - 345 q^{70} - 415 q^{71} - 341 q^{72} - 465 q^{73} - 359 q^{74} - 339 q^{75} - 361 q^{76} - 363 q^{77} - 341 q^{78} - 423 q^{79} - 249 q^{80} - 420 q^{81} - 371 q^{82} - 433 q^{83} - 215 q^{84} - 409 q^{85} - 369 q^{86} - 329 q^{87} - 255 q^{88} - 393 q^{89} - 251 q^{90} - 373 q^{91} - 387 q^{92} - 369 q^{93} - 317 q^{94} - 393 q^{95} - 149 q^{96} - 415 q^{97} - 307 q^{98} - 299 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{337}{491}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.882011 + 2.63403i −0.623676 + 1.86254i −0.133190 + 0.991091i \(0.542522\pi\)
−0.490486 + 0.871449i \(0.663181\pi\)
\(3\) −2.15731 1.21201i −1.24553 0.699754i −0.279985 0.960004i \(-0.590329\pi\)
−0.965541 + 0.260250i \(0.916195\pi\)
\(4\) −4.56345 3.44211i −2.28173 1.72106i
\(5\) −0.627390 + 0.946311i −0.280577 + 0.423203i −0.946444 0.322868i \(-0.895353\pi\)
0.665867 + 0.746071i \(0.268062\pi\)
\(6\) 5.09524 4.61342i 2.08012 1.88342i
\(7\) 1.88896 4.16828i 0.713958 1.57546i −0.100299 0.994957i \(-0.531980\pi\)
0.814258 0.580503i \(-0.197144\pi\)
\(8\) 8.51098 5.84075i 3.00909 2.06502i
\(9\) 1.62450 + 2.66720i 0.541500 + 0.889066i
\(10\) −1.93925 2.48722i −0.613243 0.786528i
\(11\) 3.56400 + 0.228349i 1.07459 + 0.0688498i 0.591174 0.806544i \(-0.298665\pi\)
0.483411 + 0.875394i \(0.339398\pi\)
\(12\) 5.67292 + 12.9567i 1.63763 + 3.74027i
\(13\) −4.54880 5.25576i −1.26161 1.45769i −0.832102 0.554623i \(-0.812862\pi\)
−0.429507 0.903064i \(-0.641313\pi\)
\(14\) 9.31328 + 8.65203i 2.48908 + 2.31235i
\(15\) 2.50041 1.28109i 0.645604 0.330775i
\(16\) 4.73698 + 16.5776i 1.18425 + 4.14441i
\(17\) −3.62737 + 1.60205i −0.879766 + 0.388554i −0.794112 0.607771i \(-0.792064\pi\)
−0.0856539 + 0.996325i \(0.527298\pi\)
\(18\) −8.45830 + 1.92649i −1.99364 + 0.454077i
\(19\) 0.610047 + 0.466299i 0.139954 + 0.106976i 0.674897 0.737912i \(-0.264188\pi\)
−0.534942 + 0.844888i \(0.679667\pi\)
\(20\) 6.12037 2.15889i 1.36856 0.482744i
\(21\) −9.12707 + 6.70285i −1.99169 + 1.46268i
\(22\) −3.74496 + 9.18626i −0.798428 + 1.95852i
\(23\) −0.602297 5.68382i −0.125588 1.18516i −0.861383 0.507956i \(-0.830401\pi\)
0.735796 0.677204i \(-0.236808\pi\)
\(24\) −25.4399 + 2.28495i −5.19290 + 0.466413i
\(25\) 1.44473 + 3.41809i 0.288947 + 0.683619i
\(26\) 17.8559 7.34602i 3.50183 1.44067i
\(27\) −0.0107060 0.304100i −0.00206037 0.0585241i
\(28\) −22.9678 + 12.5197i −4.34052 + 2.36601i
\(29\) 5.29720 7.66624i 0.983665 1.42359i 0.0792875 0.996852i \(-0.474735\pi\)
0.904377 0.426734i \(-0.140336\pi\)
\(30\) 1.16903 + 7.71610i 0.213434 + 1.40876i
\(31\) 0.235219 + 0.349906i 0.0422467 + 0.0628451i 0.850439 0.526073i \(-0.176336\pi\)
−0.808193 + 0.588918i \(0.799554\pi\)
\(32\) −27.2200 1.21996i −4.81186 0.215660i
\(33\) −7.41190 4.81222i −1.29025 0.837700i
\(34\) −1.02046 10.9676i −0.175008 1.88093i
\(35\) 2.75937 + 4.40267i 0.466419 + 0.744188i
\(36\) 1.76747 17.7633i 0.294578 2.96056i
\(37\) −2.15666 + 0.534947i −0.354552 + 0.0879448i −0.413975 0.910288i \(-0.635860\pi\)
0.0594231 + 0.998233i \(0.481074\pi\)
\(38\) −1.76631 + 1.19560i −0.286534 + 0.193952i
\(39\) 3.44314 + 16.8515i 0.551344 + 2.69840i
\(40\) 0.187463 + 11.7185i 0.0296405 + 1.85285i
\(41\) −3.92396 0.352439i −0.612819 0.0550418i −0.221291 0.975208i \(-0.571027\pi\)
−0.391528 + 0.920166i \(0.628054\pi\)
\(42\) −9.60533 29.9529i −1.48213 4.62184i
\(43\) 1.50525 + 2.06346i 0.229549 + 0.314675i 0.907193 0.420715i \(-0.138221\pi\)
−0.677644 + 0.735390i \(0.736999\pi\)
\(44\) −15.4781 13.3097i −2.33341 2.00652i
\(45\) −3.54319 0.136091i −0.528188 0.0202872i
\(46\) 15.5026 + 3.42673i 2.28573 + 0.505243i
\(47\) 0.417279 + 1.39261i 0.0608664 + 0.203133i 0.982955 0.183846i \(-0.0588547\pi\)
−0.922089 + 0.386979i \(0.873519\pi\)
\(48\) 9.87310 41.5044i 1.42506 5.99065i
\(49\) −9.19166 10.4839i −1.31309 1.49770i
\(50\) −10.2776 + 0.790673i −1.45348 + 0.111818i
\(51\) 9.76707 + 0.940287i 1.36766 + 0.131666i
\(52\) 2.66727 + 39.6419i 0.369883 + 5.49734i
\(53\) 2.26351 2.07598i 0.310917 0.285158i −0.505250 0.862973i \(-0.668600\pi\)
0.816168 + 0.577815i \(0.196095\pi\)
\(54\) 0.810451 + 0.240019i 0.110288 + 0.0326625i
\(55\) −2.45210 + 3.22938i −0.330642 + 0.435450i
\(56\) −8.26901 46.5091i −1.10499 6.21504i
\(57\) −0.750903 1.74534i −0.0994596 0.231175i
\(58\) 15.5209 + 20.7147i 2.03800 + 2.71997i
\(59\) −1.43389 0.110311i −0.186676 0.0143613i −0.0169701 0.999856i \(-0.505402\pi\)
−0.169706 + 0.985495i \(0.554282\pi\)
\(60\) −15.8202 2.76054i −2.04237 0.356384i
\(61\) 7.77326 + 6.59824i 0.995264 + 0.844818i 0.987890 0.155155i \(-0.0495876\pi\)
0.00737384 + 0.999973i \(0.497653\pi\)
\(62\) −1.12913 + 0.310954i −0.143400 + 0.0394912i
\(63\) 14.1862 1.73315i 1.78730 0.218356i
\(64\) 14.8198 38.4474i 1.85247 4.80593i
\(65\) 7.82745 1.00716i 0.970876 0.124923i
\(66\) 19.2129 15.2787i 2.36494 1.88068i
\(67\) −0.976266 + 0.839498i −0.119270 + 0.102561i −0.709614 0.704591i \(-0.751131\pi\)
0.590344 + 0.807152i \(0.298992\pi\)
\(68\) 22.0677 + 5.17495i 2.67611 + 0.627555i
\(69\) −5.58951 + 12.9918i −0.672898 + 1.56403i
\(70\) −14.0306 + 3.38506i −1.67697 + 0.404592i
\(71\) 1.43470 1.17120i 0.170268 0.138996i −0.543418 0.839463i \(-0.682870\pi\)
0.713685 + 0.700467i \(0.247025\pi\)
\(72\) 29.4046 + 13.2122i 3.46536 + 1.55707i
\(73\) −6.48811 4.63820i −0.759376 0.542860i 0.134641 0.990895i \(-0.457012\pi\)
−0.894016 + 0.448035i \(0.852124\pi\)
\(74\) 0.493128 6.15253i 0.0573249 0.715217i
\(75\) 1.02602 9.12493i 0.118475 1.05366i
\(76\) −1.17886 4.22778i −0.135225 0.484960i
\(77\) 7.68405 14.4244i 0.875679 1.64381i
\(78\) −47.4243 5.79388i −5.36974 0.656028i
\(79\) −4.13206 + 0.612511i −0.464893 + 0.0689128i −0.374972 0.927036i \(-0.622348\pi\)
−0.0899207 + 0.995949i \(0.528661\pi\)
\(80\) −18.6595 5.91798i −2.08620 0.661651i
\(81\) 3.95326 7.65549i 0.439251 0.850610i
\(82\) 4.38931 10.0250i 0.484718 1.10707i
\(83\) −5.74909 + 1.78295i −0.631044 + 0.195705i −0.595103 0.803649i \(-0.702889\pi\)
−0.0359411 + 0.999354i \(0.511443\pi\)
\(84\) 64.7229 + 0.828285i 7.06185 + 0.0903733i
\(85\) 0.759740 4.43773i 0.0824053 0.481339i
\(86\) −6.76286 + 2.14488i −0.729258 + 0.231289i
\(87\) −20.7193 + 10.1182i −2.22134 + 1.08479i
\(88\) 31.6668 18.8730i 3.37570 2.01186i
\(89\) 6.79640 + 4.47468i 0.720416 + 0.474315i 0.856345 0.516404i \(-0.172730\pi\)
−0.135929 + 0.990719i \(0.543402\pi\)
\(90\) 3.48360 9.21284i 0.367204 0.971119i
\(91\) −30.5000 + 9.03273i −3.19726 + 0.946887i
\(92\) −16.8158 + 28.0110i −1.75317 + 2.92035i
\(93\) −0.0833521 1.03995i −0.00864321 0.107837i
\(94\) −4.03622 0.129170i −0.416304 0.0133228i
\(95\) −0.824001 + 0.284742i −0.0845407 + 0.0292140i
\(96\) 57.2435 + 35.6228i 5.84239 + 3.63573i
\(97\) −10.9232 + 0.559612i −1.10908 + 0.0568200i −0.597093 0.802172i \(-0.703678\pi\)
−0.511989 + 0.858992i \(0.671091\pi\)
\(98\) 35.7220 14.9642i 3.60847 1.51161i
\(99\) 5.18066 + 9.87684i 0.520676 + 0.992659i
\(100\) 5.17250 20.5712i 0.517250 2.05712i
\(101\) −11.0968 8.04066i −1.10418 0.800075i −0.122851 0.992425i \(-0.539204\pi\)
−0.981326 + 0.192350i \(0.938389\pi\)
\(102\) −11.0914 + 24.8974i −1.09821 + 2.46521i
\(103\) −12.9981 5.05800i −1.28074 0.498379i −0.376899 0.926254i \(-0.623010\pi\)
−0.903838 + 0.427875i \(0.859262\pi\)
\(104\) −69.4123 18.1633i −6.80644 1.78106i
\(105\) −0.616747 12.8423i −0.0601884 1.25328i
\(106\) 3.47175 + 7.79320i 0.337206 + 0.756942i
\(107\) 0.838274 3.97292i 0.0810390 0.384077i −0.918907 0.394474i \(-0.870927\pi\)
0.999946 + 0.0103973i \(0.00330961\pi\)
\(108\) −0.997891 + 1.42460i −0.0960221 + 0.137082i
\(109\) −3.09987 3.67567i −0.296914 0.352065i 0.595442 0.803398i \(-0.296977\pi\)
−0.892355 + 0.451333i \(0.850949\pi\)
\(110\) −6.34351 9.30726i −0.604830 0.887413i
\(111\) 5.30095 + 1.45984i 0.503144 + 0.138562i
\(112\) 78.0481 + 11.5694i 7.37485 + 1.09320i
\(113\) −3.50506 1.71169i −0.329729 0.161023i 0.266505 0.963834i \(-0.414131\pi\)
−0.596234 + 0.802811i \(0.703337\pi\)
\(114\) 5.25957 0.438496i 0.492604 0.0410689i
\(115\) 5.75654 + 2.99601i 0.536800 + 0.279380i
\(116\) −50.5616 + 16.7510i −4.69453 + 1.55529i
\(117\) 6.62864 20.6705i 0.612818 1.91099i
\(118\) 1.55527 3.67961i 0.143174 0.338735i
\(119\) −0.174163 + 18.1461i −0.0159655 + 1.66345i
\(120\) 13.7985 25.5076i 1.25962 2.32852i
\(121\) 1.73987 + 0.223869i 0.158170 + 0.0203517i
\(122\) −24.2361 + 14.6553i −2.19423 + 1.32683i
\(123\) 8.03805 + 5.51620i 0.724766 + 0.497379i
\(124\) 0.131006 2.40643i 0.0117646 0.216104i
\(125\) −9.72052 1.82465i −0.869429 0.163202i
\(126\) −7.94724 + 38.8956i −0.707997 + 3.46510i
\(127\) −1.88382 4.53767i −0.167162 0.402653i 0.817782 0.575528i \(-0.195204\pi\)
−0.984944 + 0.172875i \(0.944694\pi\)
\(128\) 46.2072 + 38.2160i 4.08418 + 3.37784i
\(129\) −0.746366 6.27591i −0.0657139 0.552563i
\(130\) −4.25101 + 21.5061i −0.372838 + 1.88621i
\(131\) 3.54884 + 1.81825i 0.310063 + 0.158861i 0.604045 0.796950i \(-0.293555\pi\)
−0.293981 + 0.955811i \(0.594980\pi\)
\(132\) 17.2596 + 47.4729i 1.50226 + 4.13199i
\(133\) 3.09602 1.66203i 0.268459 0.144116i
\(134\) −1.35019 3.31196i −0.116638 0.286110i
\(135\) 0.294490 + 0.180658i 0.0253457 + 0.0155486i
\(136\) −21.5153 + 34.8216i −1.84492 + 2.98592i
\(137\) 7.59907 + 13.4252i 0.649232 + 1.14699i 0.979180 + 0.202992i \(0.0650666\pi\)
−0.329948 + 0.943999i \(0.607031\pi\)
\(138\) −29.2907 26.1818i −2.49339 2.22874i
\(139\) 2.68651 5.12178i 0.227867 0.434423i −0.744585 0.667527i \(-0.767353\pi\)
0.972452 + 0.233104i \(0.0748883\pi\)
\(140\) 2.56225 29.5895i 0.216550 2.50077i
\(141\) 0.787653 3.51004i 0.0663324 0.295599i
\(142\) 1.81956 + 4.81206i 0.152694 + 0.403819i
\(143\) −15.0117 19.7702i −1.25534 1.65327i
\(144\) −36.5206 + 39.5649i −3.04338 + 3.29707i
\(145\) 3.93124 + 9.82252i 0.326472 + 0.815716i
\(146\) 17.9397 12.9989i 1.48470 1.07580i
\(147\) 7.12271 + 33.7574i 0.587471 + 2.78427i
\(148\) 11.6832 + 4.98226i 0.960349 + 0.409539i
\(149\) 4.23568 + 16.4010i 0.347000 + 1.34362i 0.870740 + 0.491744i \(0.163640\pi\)
−0.523739 + 0.851879i \(0.675463\pi\)
\(150\) 23.1304 + 10.7509i 1.88859 + 0.877804i
\(151\) −12.1509 + 4.37373i −0.988829 + 0.355929i −0.782566 0.622568i \(-0.786089\pi\)
−0.206263 + 0.978497i \(0.566130\pi\)
\(152\) 7.91564 + 0.405531i 0.642043 + 0.0328929i
\(153\) −10.1656 7.07238i −0.821843 0.571768i
\(154\) 31.2168 + 32.9625i 2.51552 + 2.65619i
\(155\) −0.478695 + 0.00306290i −0.0384497 + 0.000246018i
\(156\) 42.2922 88.7528i 3.38609 7.10591i
\(157\) 3.65707 + 3.96192i 0.291866 + 0.316196i 0.863535 0.504289i \(-0.168245\pi\)
−0.571669 + 0.820485i \(0.693704\pi\)
\(158\) 2.03115 11.4242i 0.161589 0.908861i
\(159\) −7.39922 + 1.73514i −0.586796 + 0.137605i
\(160\) 18.2320 24.9932i 1.44137 1.97589i
\(161\) −24.8295 8.22596i −1.95684 0.648296i
\(162\) 16.6780 + 17.1652i 1.31035 + 1.34863i
\(163\) −23.4317 + 5.97151i −1.83531 + 0.467725i −0.996996 0.0774588i \(-0.975319\pi\)
−0.838317 + 0.545184i \(0.816460\pi\)
\(164\) 16.6937 + 15.1151i 1.30356 + 1.18029i
\(165\) 9.20400 3.99482i 0.716531 0.310996i
\(166\) 0.374401 16.7158i 0.0290592 1.29740i
\(167\) −0.0925736 0.502022i −0.00716356 0.0388476i 0.979646 0.200733i \(-0.0643322\pi\)
−0.986810 + 0.161885i \(0.948243\pi\)
\(168\) −38.5306 + 110.357i −2.97270 + 8.51421i
\(169\) −5.06645 + 34.9493i −0.389727 + 2.68841i
\(170\) 11.0190 + 5.91530i 0.845119 + 0.453683i
\(171\) −0.252691 + 2.38462i −0.0193237 + 0.182356i
\(172\) 0.233524 14.5978i 0.0178060 1.11307i
\(173\) 21.9812 4.12613i 1.67120 0.313704i 0.738473 0.674283i \(-0.235547\pi\)
0.932729 + 0.360579i \(0.117421\pi\)
\(174\) −8.37710 63.4996i −0.635066 4.81389i
\(175\) 16.9766 + 0.434584i 1.28331 + 0.0328515i
\(176\) 13.0971 + 60.1643i 0.987231 + 4.53505i
\(177\) 2.95965 + 1.97586i 0.222461 + 0.148515i
\(178\) −17.7809 + 13.9552i −1.33274 + 1.04599i
\(179\) 6.72753 + 3.23224i 0.502839 + 0.241589i 0.667292 0.744796i \(-0.267453\pi\)
−0.164453 + 0.986385i \(0.552586\pi\)
\(180\) 15.7008 + 12.8171i 1.17027 + 0.955332i
\(181\) −3.54270 7.08127i −0.263327 0.526346i 0.723061 0.690784i \(-0.242735\pi\)
−0.986387 + 0.164438i \(0.947419\pi\)
\(182\) 3.10881 88.3047i 0.230440 6.54558i
\(183\) −8.77223 23.6557i −0.648462 1.74868i
\(184\) −38.3240 44.8571i −2.82528 3.30691i
\(185\) 0.846839 2.37649i 0.0622608 0.174723i
\(186\) 2.81277 + 0.697692i 0.206242 + 0.0511572i
\(187\) −13.2937 + 4.88139i −0.972135 + 0.356962i
\(188\) 2.88928 7.79142i 0.210723 0.568248i
\(189\) −1.28780 0.529806i −0.0936734 0.0385377i
\(190\) −0.0232420 2.42159i −0.00168615 0.175681i
\(191\) 1.19094 + 0.629549i 0.0861738 + 0.0455526i 0.509868 0.860253i \(-0.329694\pi\)
−0.423694 + 0.905806i \(0.639267\pi\)
\(192\) −78.5696 + 64.9815i −5.67027 + 4.68964i
\(193\) −14.4746 13.7962i −1.04191 0.993071i −0.0419253 0.999121i \(-0.513349\pi\)
−0.999982 + 0.00605009i \(0.998074\pi\)
\(194\) 8.16033 29.2656i 0.585878 2.10115i
\(195\) −18.1070 7.31419i −1.29667 0.523780i
\(196\) 5.85891 + 79.4815i 0.418494 + 5.67725i
\(197\) −6.48909 + 1.74246i −0.462329 + 0.124145i −0.482960 0.875642i \(-0.660438\pi\)
0.0206315 + 0.999787i \(0.493432\pi\)
\(198\) −30.5853 + 4.93454i −2.17360 + 0.350683i
\(199\) 4.64705 7.20789i 0.329421 0.510954i −0.635986 0.771700i \(-0.719407\pi\)
0.965407 + 0.260747i \(0.0839687\pi\)
\(200\) 32.2603 + 20.6530i 2.28115 + 1.46039i
\(201\) 3.12359 0.627816i 0.220321 0.0442828i
\(202\) 30.9669 22.1375i 2.17882 1.55759i
\(203\) −21.9488 36.5614i −1.54051 2.56611i
\(204\) −41.3350 37.9103i −2.89403 2.65425i
\(205\) 2.79537 3.49217i 0.195237 0.243903i
\(206\) 24.7873 29.7761i 1.72702 2.07460i
\(207\) 14.1815 10.8398i 0.985679 0.753420i
\(208\) 65.5806 100.305i 4.54719 6.95488i
\(209\) 2.06773 + 1.80119i 0.143028 + 0.124591i
\(210\) 34.3711 + 9.70255i 2.37183 + 0.669539i
\(211\) 2.85531 + 17.3447i 0.196567 + 1.19406i 0.883887 + 0.467701i \(0.154918\pi\)
−0.687319 + 0.726355i \(0.741213\pi\)
\(212\) −17.4752 + 1.68236i −1.20020 + 0.115545i
\(213\) −4.51461 + 0.787776i −0.309336 + 0.0539775i
\(214\) 9.72543 + 5.71220i 0.664817 + 0.390478i
\(215\) −2.89705 + 0.129842i −0.197578 + 0.00885512i
\(216\) −1.86729 2.52566i −0.127053 0.171849i
\(217\) 1.90283 0.319502i 0.129172 0.0216892i
\(218\) 12.4159 4.92317i 0.840913 0.333439i
\(219\) 8.37535 + 17.8697i 0.565953 + 1.20752i
\(220\) 22.3060 6.29671i 1.50387 0.424524i
\(221\) 24.9201 + 11.7772i 1.67631 + 0.792220i
\(222\) −8.52076 + 12.6753i −0.571876 + 0.850708i
\(223\) 4.95442 6.70124i 0.331772 0.448748i −0.606275 0.795255i \(-0.707337\pi\)
0.938047 + 0.346507i \(0.112632\pi\)
\(224\) −56.5025 + 111.156i −3.77523 + 7.42693i
\(225\) −6.76976 + 9.40609i −0.451318 + 0.627072i
\(226\) 7.60015 7.72271i 0.505555 0.513707i
\(227\) −2.68790 4.54300i −0.178402 0.301530i 0.758135 0.652098i \(-0.226111\pi\)
−0.936537 + 0.350568i \(0.885989\pi\)
\(228\) −2.58094 + 10.5495i −0.170927 + 0.698655i
\(229\) −4.09222 + 18.7984i −0.270421 + 1.24224i 0.619089 + 0.785321i \(0.287502\pi\)
−0.889510 + 0.456916i \(0.848954\pi\)
\(230\) −12.9689 + 12.5204i −0.855145 + 0.825569i
\(231\) −34.0594 + 21.8048i −2.24094 + 1.43465i
\(232\) 0.307720 96.1869i 0.0202028 6.31498i
\(233\) −6.06855 + 3.72282i −0.397564 + 0.243890i −0.707272 0.706942i \(-0.750074\pi\)
0.309708 + 0.950832i \(0.399769\pi\)
\(234\) 48.6003 + 35.6917i 3.17710 + 2.33324i
\(235\) −1.57964 0.478833i −0.103044 0.0312356i
\(236\) 6.16377 + 5.43900i 0.401227 + 0.354049i
\(237\) 9.65651 + 3.68672i 0.627258 + 0.239478i
\(238\) −47.6437 16.4638i −3.08828 1.06719i
\(239\) −15.2269 18.7750i −0.984948 1.21445i −0.976727 0.214488i \(-0.931192\pi\)
−0.00822098 0.999966i \(-0.502617\pi\)
\(240\) 33.0818 + 35.3825i 2.13542 + 2.28393i
\(241\) −4.72348 0.0302229i −0.304266 0.00194683i −0.145809 0.989313i \(-0.546579\pi\)
−0.158457 + 0.987366i \(0.550652\pi\)
\(242\) −2.12426 + 4.38540i −0.136552 + 0.281904i
\(243\) −18.5694 + 12.2259i −1.19123 + 0.784292i
\(244\) −12.7610 56.8672i −0.816939 3.64055i
\(245\) 15.6878 2.12067i 1.00226 0.135485i
\(246\) −21.6195 + 16.3071i −1.37841 + 1.03970i
\(247\) −0.324220 5.32736i −0.0206296 0.338972i
\(248\) 4.04567 + 1.60419i 0.256900 + 0.101866i
\(249\) 14.5635 + 3.12156i 0.922927 + 0.197821i
\(250\) 13.3798 23.9948i 0.846212 1.51756i
\(251\) −4.29544 + 14.3354i −0.271126 + 0.904842i 0.708788 + 0.705421i \(0.249242\pi\)
−0.979914 + 0.199421i \(0.936094\pi\)
\(252\) −70.7039 40.9215i −4.45393 2.57781i
\(253\) −0.848689 20.3947i −0.0533566 1.28220i
\(254\) 13.6139 0.959758i 0.854213 0.0602206i
\(255\) −7.01756 + 8.65276i −0.439457 + 0.541857i
\(256\) −71.4493 + 44.4631i −4.46558 + 2.77894i
\(257\) −22.2229 + 15.4608i −1.38622 + 0.964416i −0.387124 + 0.922028i \(0.626531\pi\)
−0.999101 + 0.0423885i \(0.986503\pi\)
\(258\) 17.1892 + 3.56947i 1.07016 + 0.222226i
\(259\) −1.84402 + 10.0000i −0.114582 + 0.621372i
\(260\) −39.1870 22.3469i −2.43027 1.38589i
\(261\) 29.0527 + 1.67486i 1.79832 + 0.103671i
\(262\) −7.91943 + 7.74403i −0.489264 + 0.478428i
\(263\) 4.18272 + 17.0967i 0.257918 + 1.05423i 0.944850 + 0.327504i \(0.106207\pi\)
−0.686932 + 0.726722i \(0.741043\pi\)
\(264\) −91.1895 + 2.33436i −5.61233 + 0.143670i
\(265\) 0.544415 + 3.44444i 0.0334432 + 0.211590i
\(266\) 1.64710 + 9.62092i 0.100990 + 0.589896i
\(267\) −9.23861 17.8906i −0.565394 1.09489i
\(268\) 7.34479 0.470588i 0.448655 0.0287458i
\(269\) −12.1826 13.7173i −0.742786 0.836357i 0.248424 0.968651i \(-0.420087\pi\)
−0.991210 + 0.132295i \(0.957765\pi\)
\(270\) −0.735602 + 0.616352i −0.0447673 + 0.0375100i
\(271\) −7.62303 + 0.146342i −0.463066 + 0.00888967i −0.250205 0.968193i \(-0.580498\pi\)
−0.212861 + 0.977083i \(0.568278\pi\)
\(272\) −43.7409 52.5443i −2.65218 3.18597i
\(273\) 76.7457 + 17.4798i 4.64486 + 1.05793i
\(274\) −42.0648 + 8.17502i −2.54123 + 0.493871i
\(275\) 4.36850 + 12.5120i 0.263431 + 0.754500i
\(276\) 70.2267 40.0476i 4.22715 2.41059i
\(277\) 22.7043 11.2681i 1.36417 0.677036i 0.393923 0.919144i \(-0.371118\pi\)
0.970249 + 0.242108i \(0.0778388\pi\)
\(278\) 11.1214 + 11.5938i 0.667016 + 0.695350i
\(279\) −0.551156 + 1.19580i −0.0329968 + 0.0715907i
\(280\) 49.1999 + 21.3543i 2.94026 + 1.27616i
\(281\) −3.27863 7.23482i −0.195587 0.431593i 0.787110 0.616812i \(-0.211576\pi\)
−0.982697 + 0.185219i \(0.940700\pi\)
\(282\) 8.55083 + 5.17059i 0.509195 + 0.307904i
\(283\) 20.3708 + 16.1995i 1.21092 + 0.962961i 0.999895 0.0145201i \(-0.00462206\pi\)
0.211023 + 0.977481i \(0.432321\pi\)
\(284\) −10.5786 + 0.406313i −0.627724 + 0.0241103i
\(285\) 2.12274 + 0.384419i 0.125740 + 0.0227710i
\(286\) 65.3159 22.1038i 3.86221 1.30703i
\(287\) −8.88125 + 15.6904i −0.524244 + 0.926175i
\(288\) −40.9651 74.5830i −2.41389 4.39484i
\(289\) −0.859219 + 0.942875i −0.0505423 + 0.0554632i
\(290\) −29.3402 + 1.69143i −1.72292 + 0.0993242i
\(291\) 24.2430 + 12.0317i 1.42115 + 0.705314i
\(292\) 13.6430 + 43.4990i 0.798394 + 2.54559i
\(293\) 21.6913 5.67603i 1.26722 0.331597i 0.442311 0.896862i \(-0.354159\pi\)
0.824910 + 0.565264i \(0.191226\pi\)
\(294\) −95.2004 11.0130i −5.55220 0.642291i
\(295\) 1.00400 1.28769i 0.0584549 0.0749725i
\(296\) −15.2308 + 17.1494i −0.885271 + 0.996791i
\(297\) 0.0312848 1.08626i 0.00181533 0.0630309i
\(298\) −46.9366 3.30896i −2.71897 0.191683i
\(299\) −27.1331 + 29.0201i −1.56915 + 1.67827i
\(300\) −36.0913 + 38.1095i −2.08373 + 2.20025i
\(301\) 11.4444 2.37652i 0.659646 0.136980i
\(302\) −0.803272 35.8636i −0.0462231 2.06372i
\(303\) 14.1940 + 30.7957i 0.815426 + 1.76917i
\(304\) −4.84036 + 12.3220i −0.277613 + 0.706714i
\(305\) −11.1208 + 3.21625i −0.636778 + 0.184162i
\(306\) 27.5951 20.5387i 1.57750 1.17412i
\(307\) −9.32479 + 9.23572i −0.532194 + 0.527111i −0.918584 0.395225i \(-0.870667\pi\)
0.386391 + 0.922335i \(0.373722\pi\)
\(308\) −84.7162 + 39.3756i −4.82715 + 2.24363i
\(309\) 21.9106 + 26.6655i 1.24645 + 1.51695i
\(310\) 0.414146 1.26360i 0.0235219 0.0717675i
\(311\) −0.720463 + 0.480982i −0.0408537 + 0.0272740i −0.575497 0.817804i \(-0.695191\pi\)
0.534643 + 0.845078i \(0.320446\pi\)
\(312\) 127.730 + 123.312i 7.23129 + 6.98119i
\(313\) −2.52841 0.508191i −0.142914 0.0287246i 0.125070 0.992148i \(-0.460085\pi\)
−0.267984 + 0.963423i \(0.586357\pi\)
\(314\) −13.6614 + 6.13839i −0.770957 + 0.346409i
\(315\) −7.26020 + 14.5119i −0.409066 + 0.817655i
\(316\) 20.9648 + 11.4279i 1.17936 + 0.642867i
\(317\) 27.5714 13.9042i 1.54857 0.780939i 0.550037 0.835140i \(-0.314614\pi\)
0.998530 + 0.0542015i \(0.0172613\pi\)
\(318\) 1.95578 21.0202i 0.109675 1.17875i
\(319\) 20.6298 26.1128i 1.15505 1.46204i
\(320\) 27.0854 + 38.1457i 1.51412 + 2.13241i
\(321\) −6.62364 + 7.55485i −0.369696 + 0.421670i
\(322\) 43.5673 58.1462i 2.42791 3.24036i
\(323\) −2.95990 0.714115i −0.164693 0.0397344i
\(324\) −44.3916 + 21.3279i −2.46620 + 1.18488i
\(325\) 11.3929 23.1414i 0.631964 1.28365i
\(326\) 4.93787 66.9867i 0.273483 3.71005i
\(327\) 2.23245 + 11.6866i 0.123455 + 0.646273i
\(328\) −35.4552 + 19.9193i −1.95769 + 1.09986i
\(329\) 6.59300 + 0.891242i 0.363484 + 0.0491357i
\(330\) 2.40444 + 27.7671i 0.132360 + 1.52853i
\(331\) 5.48233 + 2.29658i 0.301336 + 0.126232i 0.531853 0.846837i \(-0.321496\pi\)
−0.230517 + 0.973068i \(0.574042\pi\)
\(332\) 32.3728 + 11.6526i 1.77669 + 0.639519i
\(333\) −4.93030 4.88321i −0.270179 0.267598i
\(334\) 1.40399 + 0.198947i 0.0768230 + 0.0108859i
\(335\) −0.181926 1.45054i −0.00993970 0.0792517i
\(336\) −154.352 119.554i −8.42060 6.52220i
\(337\) 4.10582 6.55098i 0.223658 0.356855i −0.716503 0.697584i \(-0.754258\pi\)
0.940162 + 0.340729i \(0.110674\pi\)
\(338\) −87.5887 44.1708i −4.76420 2.40257i
\(339\) 5.48693 + 7.94083i 0.298009 + 0.431287i
\(340\) −18.7422 + 17.6362i −1.01644 + 0.956459i
\(341\) 0.758420 + 1.30078i 0.0410708 + 0.0704410i
\(342\) −6.05828 2.76885i −0.327594 0.149722i
\(343\) −30.4057 + 9.21683i −1.64175 + 0.497662i
\(344\) 24.8633 + 8.77027i 1.34054 + 0.472861i
\(345\) −8.78746 13.4403i −0.473101 0.723603i
\(346\) −8.51933 + 61.5385i −0.458002 + 3.30833i
\(347\) 8.98027 + 3.96619i 0.482086 + 0.212916i 0.630772 0.775968i \(-0.282738\pi\)
−0.148685 + 0.988885i \(0.547504\pi\)
\(348\) 129.380 + 25.1441i 6.93547 + 1.34786i
\(349\) 2.28644 + 15.7722i 0.122390 + 0.844269i 0.956304 + 0.292374i \(0.0944453\pi\)
−0.833914 + 0.551895i \(0.813905\pi\)
\(350\) −16.1182 + 44.3335i −0.861556 + 2.36973i
\(351\) −1.54958 + 1.43956i −0.0827104 + 0.0768378i
\(352\) −96.7334 10.5636i −5.15591 0.563041i
\(353\) −18.7562 18.8163i −0.998292 1.00149i −0.999999 0.00149264i \(-0.999525\pi\)
0.00170653 0.999999i \(-0.499457\pi\)
\(354\) −7.81492 + 6.05307i −0.415358 + 0.321717i
\(355\) 0.208203 + 2.09247i 0.0110503 + 0.111057i
\(356\) −15.6127 43.8139i −0.827470 2.32213i
\(357\) 22.3689 38.9357i 1.18389 2.06070i
\(358\) −14.4476 + 14.8696i −0.763577 + 0.785885i
\(359\) −1.74578 + 0.908601i −0.0921390 + 0.0479541i −0.507116 0.861878i \(-0.669289\pi\)
0.414977 + 0.909832i \(0.363790\pi\)
\(360\) −30.9509 + 19.5367i −1.63126 + 1.02967i
\(361\) −4.83130 17.7652i −0.254279 0.935009i
\(362\) 21.7770 3.08582i 1.14457 0.162187i
\(363\) −3.48210 2.59169i −0.182763 0.136028i
\(364\) 170.277 + 63.7639i 8.92493 + 3.34214i
\(365\) 8.45975 3.22981i 0.442803 0.169056i
\(366\) 70.0471 2.24170i 3.66142 0.117175i
\(367\) −2.43075 21.6179i −0.126884 1.12845i −0.881468 0.472244i \(-0.843444\pi\)
0.754584 0.656204i \(-0.227839\pi\)
\(368\) 91.3713 36.9088i 4.76306 1.92401i
\(369\) −5.43445 11.0385i −0.282906 0.574642i
\(370\) 5.51282 + 4.32669i 0.286598 + 0.224934i
\(371\) −4.37758 13.3564i −0.227272 0.693429i
\(372\) −3.19924 + 5.03265i −0.165873 + 0.260931i
\(373\) 0.753185 18.0996i 0.0389984 0.937163i −0.862942 0.505303i \(-0.831381\pi\)
0.901941 0.431860i \(-0.142143\pi\)
\(374\) −1.13248 39.3216i −0.0585593 2.03327i
\(375\) 18.7587 + 15.7177i 0.968695 + 0.811659i
\(376\) 11.6853 + 9.41524i 0.602625 + 0.485554i
\(377\) −64.3878 + 7.03135i −3.31614 + 0.362133i
\(378\) 2.53137 2.92480i 0.130200 0.150435i
\(379\) 32.7738 + 10.1641i 1.68348 + 0.522095i 0.981722 0.190321i \(-0.0609529\pi\)
0.701758 + 0.712416i \(0.252399\pi\)
\(380\) 4.74041 + 1.53690i 0.243178 + 0.0788412i
\(381\) −1.43572 + 12.0724i −0.0735539 + 0.618487i
\(382\) −2.70868 + 2.58171i −0.138588 + 0.132092i
\(383\) −1.70774 3.20575i −0.0872616 0.163806i 0.835141 0.550036i \(-0.185386\pi\)
−0.922402 + 0.386230i \(0.873777\pi\)
\(384\) −53.3653 138.447i −2.72329 7.06511i
\(385\) 8.82905 + 16.3212i 0.449970 + 0.831806i
\(386\) 49.1063 25.9582i 2.49945 1.32124i
\(387\) −3.05838 + 7.36690i −0.155466 + 0.374481i
\(388\) 51.7737 + 35.0451i 2.62841 + 1.77915i
\(389\) −5.22754 1.91952i −0.265047 0.0973235i 0.208715 0.977976i \(-0.433072\pi\)
−0.473762 + 0.880653i \(0.657104\pi\)
\(390\) 35.2363 41.2431i 1.78426 2.08842i
\(391\) 11.2905 + 19.6524i 0.570986 + 0.993865i
\(392\) −139.464 35.5420i −7.04399 1.79514i
\(393\) −5.45223 8.22375i −0.275028 0.414834i
\(394\) 1.13377 18.6293i 0.0571184 0.938532i
\(395\) 2.01279 4.29449i 0.101274 0.216079i
\(396\) 10.3555 62.9049i 0.520383 3.16109i
\(397\) 0.976935 14.5196i 0.0490310 0.728717i −0.904320 0.426854i \(-0.859622\pi\)
0.953351 0.301863i \(-0.0976084\pi\)
\(398\) 14.8870 + 18.5979i 0.746220 + 0.932229i
\(399\) −8.69347 0.166892i −0.435218 0.00835506i
\(400\) −49.8202 + 40.1417i −2.49101 + 2.00708i
\(401\) 24.0294 24.1064i 1.19997 1.20382i 0.226747 0.973954i \(-0.427191\pi\)
0.973223 0.229861i \(-0.0738273\pi\)
\(402\) −1.10135 + 8.78137i −0.0549306 + 0.437975i
\(403\) 0.769060 2.82791i 0.0383096 0.140868i
\(404\) 22.9631 + 74.8898i 1.14246 + 3.72591i
\(405\) 4.76424 + 8.54399i 0.236737 + 0.424554i
\(406\) 115.663 25.5664i 5.74025 1.26884i
\(407\) −7.80847 + 1.41408i −0.387052 + 0.0700933i
\(408\) 88.6193 49.0443i 4.38731 2.42805i
\(409\) 2.10566 + 2.34057i 0.104118 + 0.115734i 0.793234 0.608917i \(-0.208396\pi\)
−0.689116 + 0.724651i \(0.742001\pi\)
\(410\) 6.73292 + 10.4432i 0.332515 + 0.515753i
\(411\) −0.122121 38.1725i −0.00602379 1.88291i
\(412\) 41.9058 + 67.8227i 2.06455 + 3.34139i
\(413\) −3.16836 + 5.76847i −0.155905 + 0.283848i
\(414\) 16.0442 + 46.9152i 0.788530 + 2.30576i
\(415\) 1.91969 6.55903i 0.0942339 0.321970i
\(416\) 117.406 + 148.611i 5.75632 + 7.28627i
\(417\) −12.0033 + 7.79320i −0.587803 + 0.381635i
\(418\) −6.56815 + 3.85778i −0.321259 + 0.188690i
\(419\) −1.18495 + 1.00583i −0.0578888 + 0.0491382i −0.675612 0.737258i \(-0.736120\pi\)
0.617723 + 0.786396i \(0.288055\pi\)
\(420\) −41.3903 + 60.7283i −2.01964 + 2.96324i
\(421\) −23.1767 + 2.38101i −1.12956 + 0.116043i −0.648909 0.760866i \(-0.724774\pi\)
−0.480656 + 0.876909i \(0.659601\pi\)
\(422\) −48.2048 7.77723i −2.34657 0.378590i
\(423\) −3.03649 + 3.37526i −0.147639 + 0.164111i
\(424\) 7.13944 30.8892i 0.346722 1.50011i
\(425\) −10.7165 10.0842i −0.519828 0.489153i
\(426\) 1.90691 12.5864i 0.0923899 0.609815i
\(427\) 42.1866 19.9373i 2.04155 0.964834i
\(428\) −17.5007 + 15.2448i −0.845927 + 0.736886i
\(429\) 8.42332 + 60.8450i 0.406682 + 2.93762i
\(430\) 2.21323 7.74545i 0.106731 0.373519i
\(431\) −0.370280 1.87327i −0.0178358 0.0902321i 0.971063 0.238824i \(-0.0767620\pi\)
−0.988899 + 0.148592i \(0.952526\pi\)
\(432\) 4.99054 1.61800i 0.240108 0.0778459i
\(433\) 16.9172 0.216497i 0.812989 0.0104042i 0.394803 0.918766i \(-0.370813\pi\)
0.418186 + 0.908361i \(0.362666\pi\)
\(434\) −0.836736 + 5.29390i −0.0401646 + 0.254116i
\(435\) 3.42407 25.9550i 0.164172 1.24444i
\(436\) 1.49403 + 27.4438i 0.0715513 + 1.31432i
\(437\) 2.28293 3.74825i 0.109208 0.179303i
\(438\) −54.4564 + 6.29965i −2.60203 + 0.301009i
\(439\) −23.1143 + 8.99458i −1.10319 + 0.429288i −0.843893 0.536511i \(-0.819742\pi\)
−0.259293 + 0.965799i \(0.583489\pi\)
\(440\) −2.00778 + 41.8074i −0.0957171 + 1.99309i
\(441\) 13.0308 41.5471i 0.620513 1.97843i
\(442\) −53.0013 + 55.2527i −2.52102 + 2.62811i
\(443\) 10.2589 + 26.1159i 0.487417 + 1.24081i 0.937552 + 0.347845i \(0.113087\pi\)
−0.450135 + 0.892960i \(0.648624\pi\)
\(444\) −19.1657 24.9084i −0.909563 1.18210i
\(445\) −8.49842 + 3.62414i −0.402864 + 0.171800i
\(446\) 13.2814 + 18.9606i 0.628893 + 0.897812i
\(447\) 10.7405 40.5158i 0.508008 1.91633i
\(448\) −132.266 134.399i −6.24897 6.34973i
\(449\) 23.2494 3.59851i 1.09721 0.169824i 0.421378 0.906885i \(-0.361546\pi\)
0.675827 + 0.737060i \(0.263787\pi\)
\(450\) −18.8049 26.1280i −0.886471 1.23169i
\(451\) −13.9045 2.15212i −0.654737 0.101340i
\(452\) 10.1033 + 19.8761i 0.475221 + 0.934891i
\(453\) 31.5144 + 5.29155i 1.48067 + 0.248619i
\(454\) 14.3372 3.07303i 0.672876 0.144225i
\(455\) 10.5876 34.5295i 0.496354 1.61877i
\(456\) −16.5850 10.4687i −0.776664 0.490241i
\(457\) −20.4196 1.70240i −0.955186 0.0796348i −0.404673 0.914461i \(-0.632615\pi\)
−0.550513 + 0.834826i \(0.685568\pi\)
\(458\) −45.9063 27.3594i −2.14506 1.27842i
\(459\) 0.526017 + 1.08593i 0.0245524 + 0.0506869i
\(460\) −15.9571 33.4868i −0.744002 1.56133i
\(461\) 7.39291 18.4718i 0.344322 0.860317i −0.650577 0.759441i \(-0.725473\pi\)
0.994899 0.100877i \(-0.0321647\pi\)
\(462\) −27.3936 108.946i −1.27447 5.06860i
\(463\) 3.34199 2.98727i 0.155315 0.138830i −0.585149 0.810926i \(-0.698964\pi\)
0.740464 + 0.672096i \(0.234606\pi\)
\(464\) 152.181 + 51.5001i 7.06482 + 2.39083i
\(465\) 1.03641 + 0.573575i 0.0480622 + 0.0265989i
\(466\) −4.45349 19.2683i −0.206304 0.892587i
\(467\) −6.30631 + 10.8160i −0.291821 + 0.500507i −0.972754 0.231839i \(-0.925526\pi\)
0.680933 + 0.732346i \(0.261575\pi\)
\(468\) −101.400 + 71.5124i −4.68721 + 3.30566i
\(469\) 1.65514 + 5.65512i 0.0764271 + 0.261129i
\(470\) 2.65452 3.73847i 0.122444 0.172443i
\(471\) −3.08757 12.9795i −0.142268 0.598064i
\(472\) −12.8481 + 7.43613i −0.591381 + 0.342276i
\(473\) 4.89352 + 7.69789i 0.225004 + 0.353949i
\(474\) −18.2281 + 22.1838i −0.837243 + 1.01894i
\(475\) −0.712500 + 2.75887i −0.0326917 + 0.126586i
\(476\) 63.2556 82.2092i 2.89932 3.76805i
\(477\) 9.21413 + 2.66481i 0.421886 + 0.122013i
\(478\) 62.8842 23.5484i 2.87626 1.07708i
\(479\) 3.06998 2.70899i 0.140271 0.123777i −0.588612 0.808416i \(-0.700325\pi\)
0.728882 + 0.684639i \(0.240040\pi\)
\(480\) −69.6242 + 31.8208i −3.17789 + 1.45241i
\(481\) 12.6218 + 8.90152i 0.575502 + 0.405874i
\(482\) 4.24577 12.4151i 0.193390 0.565494i
\(483\) 43.5950 + 47.8395i 1.98364 + 2.17677i
\(484\) −7.16921 7.01043i −0.325873 0.318656i
\(485\) 6.32353 10.6878i 0.287137 0.485309i
\(486\) −15.8250 59.6957i −0.717835 2.70785i
\(487\) −6.48030 + 7.68401i −0.293650 + 0.348196i −0.891179 0.453652i \(-0.850121\pi\)
0.597529 + 0.801848i \(0.296149\pi\)
\(488\) 104.697 + 10.7558i 4.73940 + 0.486892i
\(489\) 57.7871 + 15.5170i 2.61322 + 0.701704i
\(490\) −8.25087 + 43.1925i −0.372736 + 1.95124i
\(491\) 10.6290 + 31.7424i 0.479680 + 1.43251i 0.861254 + 0.508174i \(0.169679\pi\)
−0.381574 + 0.924338i \(0.624618\pi\)
\(492\) −17.6939 52.8408i −0.797701 2.38225i
\(493\) −6.93320 + 36.2946i −0.312256 + 1.63463i
\(494\) 14.3184 + 3.84478i 0.644215 + 0.172985i
\(495\) −12.5969 1.29411i −0.566186 0.0581659i
\(496\) −4.68639 + 5.55688i −0.210425 + 0.249511i
\(497\) −2.17180 8.19258i −0.0974186 0.367487i
\(498\) −21.0675 + 35.6076i −0.944056 + 1.59561i
\(499\) −13.3984 13.1017i −0.599795 0.586511i 0.334772 0.942299i \(-0.391341\pi\)
−0.934567 + 0.355788i \(0.884212\pi\)
\(500\) 38.0784 + 41.7858i 1.70292 + 1.86872i
\(501\) −0.408745 + 1.19522i −0.0182614 + 0.0533984i
\(502\) −33.9712 23.9583i −1.51621 1.06931i
\(503\) −26.2419 + 11.9935i −1.17007 + 0.534763i −0.903305 0.428999i \(-0.858866\pi\)
−0.266762 + 0.963762i \(0.585954\pi\)
\(504\) 110.616 97.6091i 4.92722 4.34786i
\(505\) 14.5710 5.45644i 0.648401 0.242808i
\(506\) 54.4687 + 15.7528i 2.42143 + 0.700299i
\(507\) 53.2888 69.2559i 2.36664 3.07576i
\(508\) −7.02247 + 27.1918i −0.311572 + 1.20644i
\(509\) −21.7699 + 26.4943i −0.964936 + 1.17434i 0.0197152 + 0.999806i \(0.493724\pi\)
−0.984651 + 0.174535i \(0.944158\pi\)
\(510\) −16.6020 26.1163i −0.735151 1.15645i
\(511\) −31.5890 + 18.2829i −1.39742 + 0.808787i
\(512\) −26.3443 110.746i −1.16427 4.89433i
\(513\) 0.135270 0.190507i 0.00597233 0.00841111i
\(514\) −21.1233 72.1723i −0.931709 3.18338i
\(515\) 12.9413 9.12687i 0.570261 0.402178i
\(516\) −18.1964 + 31.2089i −0.801052 + 1.37390i
\(517\) 1.16918 + 5.05854i 0.0514205 + 0.222474i
\(518\) −24.7139 13.6774i −1.08587 0.600948i
\(519\) −52.4213 17.7401i −2.30104 0.778704i
\(520\) 60.7367 54.2902i 2.66348 2.38078i
\(521\) 4.94990 + 19.6859i 0.216859 + 0.862457i 0.977094 + 0.212809i \(0.0682610\pi\)
−0.760235 + 0.649648i \(0.774916\pi\)
\(522\) −30.0364 + 75.0484i −1.31466 + 3.28478i
\(523\) 8.91011 + 18.6984i 0.389612 + 0.817624i 0.999681 + 0.0252752i \(0.00804619\pi\)
−0.610068 + 0.792349i \(0.708858\pi\)
\(524\) −9.93634 20.5130i −0.434071 0.896114i
\(525\) −36.0971 21.5133i −1.57541 0.938919i
\(526\) −48.7223 4.06203i −2.12439 0.177113i
\(527\) −1.41379 0.892407i −0.0615858 0.0388738i
\(528\) 44.6652 145.667i 1.94380 6.33935i
\(529\) −9.45390 + 2.02635i −0.411039 + 0.0881023i
\(530\) −9.55292 1.60402i −0.414952 0.0696743i
\(531\) −2.03513 4.00366i −0.0883171 0.173744i
\(532\) −19.8494 3.07227i −0.860581 0.133200i
\(533\) 15.9969 + 22.2266i 0.692904 + 0.962740i
\(534\) 55.2729 8.55508i 2.39189 0.370215i
\(535\) 3.23370 + 3.28584i 0.139805 + 0.142059i
\(536\) −3.40568 + 12.8471i −0.147103 + 0.554910i
\(537\) −10.5959 15.1268i −0.457247 0.652769i
\(538\) 46.8769 19.9905i 2.02101 0.861853i
\(539\) −30.3650 39.4635i −1.30791 1.69981i
\(540\) −0.722044 1.83809i −0.0310718 0.0790989i
\(541\) 13.8516 14.4400i 0.595527 0.620825i −0.353721 0.935351i \(-0.615084\pi\)
0.949249 + 0.314526i \(0.101846\pi\)
\(542\) 6.33812 20.2083i 0.272246 0.868023i
\(543\) −0.939854 + 19.5703i −0.0403330 + 0.839842i
\(544\) 100.691 39.1825i 4.31711 1.67994i
\(545\) 5.42315 0.627363i 0.232302 0.0268733i
\(546\) −113.733 + 186.733i −4.86732 + 7.99144i
\(547\) 0.760798 + 13.9750i 0.0325294 + 0.597530i 0.969042 + 0.246896i \(0.0794106\pi\)
−0.936513 + 0.350634i \(0.885966\pi\)
\(548\) 11.5330 87.4221i 0.492667 3.73449i
\(549\) −4.97114 + 31.4517i −0.212163 + 1.34232i
\(550\) −36.8100 + 0.471072i −1.56958 + 0.0200866i
\(551\) 6.80630 2.20669i 0.289958 0.0940081i
\(552\) 28.3096 + 143.220i 1.20494 + 6.09584i
\(553\) −5.25216 + 18.3806i −0.223345 + 0.781621i
\(554\) 9.65508 + 69.7425i 0.410205 + 2.96308i
\(555\) −4.70722 + 4.10046i −0.199811 + 0.174055i
\(556\) −29.8895 + 14.1257i −1.26760 + 0.599063i
\(557\) 5.01389 33.0939i 0.212445 1.40223i −0.590912 0.806736i \(-0.701232\pi\)
0.803357 0.595498i \(-0.203045\pi\)
\(558\) −2.66365 2.50647i −0.112761 0.106107i
\(559\) 3.99798 17.2975i 0.169096 0.731607i
\(560\) −59.9148 + 66.5993i −2.53186 + 2.81433i
\(561\) 34.5951 + 5.58148i 1.46061 + 0.235650i
\(562\) 21.9485 2.25483i 0.925842 0.0951144i
\(563\) 5.59015 8.20192i 0.235597 0.345670i −0.690249 0.723572i \(-0.742499\pi\)
0.925846 + 0.377902i \(0.123354\pi\)
\(564\) −15.6764 + 13.3067i −0.660095 + 0.560313i
\(565\) 3.81884 2.24298i 0.160660 0.0943629i
\(566\) −60.6372 + 39.3691i −2.54877 + 1.65481i
\(567\) −24.4427 30.9392i −1.02650 1.29932i
\(568\) 5.37002 18.3478i 0.225321 0.769857i
\(569\) −5.18176 15.1521i −0.217231 0.635208i −0.999918 0.0127934i \(-0.995928\pi\)
0.782687 0.622415i \(-0.213848\pi\)
\(570\) −2.88485 + 5.25230i −0.120833 + 0.219994i
\(571\) −16.8857 27.3287i −0.706643 1.14367i −0.983175 0.182666i \(-0.941527\pi\)
0.276532 0.961005i \(-0.410815\pi\)
\(572\) 0.453941 + 141.893i 0.0189802 + 5.93283i
\(573\) −1.80622 2.80157i −0.0754560 0.117037i
\(574\) −33.4956 37.2326i −1.39808 1.55406i
\(575\) 18.5577 10.2703i 0.773909 0.428302i
\(576\) 126.622 22.9306i 5.27590 0.955443i
\(577\) −1.80518 + 0.399022i −0.0751508 + 0.0166115i −0.253248 0.967401i \(-0.581499\pi\)
0.178097 + 0.984013i \(0.443006\pi\)
\(578\) −1.72572 3.09483i −0.0717805 0.128728i
\(579\) 14.5052 + 47.3061i 0.602817 + 1.96597i
\(580\) 15.8702 58.3564i 0.658975 2.42312i
\(581\) −3.42793 + 27.3317i −0.142214 + 1.13391i
\(582\) −53.0746 + 53.2446i −2.20001 + 2.20706i
\(583\) 8.54120 6.88191i 0.353740 0.285020i
\(584\) −82.3107 1.58015i −3.40604 0.0653872i
\(585\) 15.4020 + 19.2412i 0.636794 + 0.795527i
\(586\) −4.18116 + 62.1419i −0.172722 + 2.56706i
\(587\) 4.35507 26.4551i 0.179753 1.09192i −0.732038 0.681263i \(-0.761431\pi\)
0.911791 0.410654i \(-0.134699\pi\)
\(588\) 83.6928 178.568i 3.45143 7.36400i
\(589\) −0.0196662 + 0.323142i −0.000810332 + 0.0133148i
\(590\) 2.50629 + 3.78031i 0.103182 + 0.155633i
\(591\) 16.1109 + 4.10582i 0.662713 + 0.168891i
\(592\) −19.0842 33.2182i −0.784356 1.36526i
\(593\) −13.8347 + 16.1931i −0.568122 + 0.664970i −0.967810 0.251681i \(-0.919017\pi\)
0.399688 + 0.916651i \(0.369118\pi\)
\(594\) 2.83364 + 1.04049i 0.116265 + 0.0426920i
\(595\) −17.0626 11.5495i −0.699497 0.473482i
\(596\) 37.1248 89.4249i 1.52069 3.66299i
\(597\) −18.7612 + 9.91740i −0.767844 + 0.405892i
\(598\) −52.5081 97.0654i −2.14721 3.96930i
\(599\) 6.68050 + 17.3314i 0.272958 + 0.708144i 0.999773 + 0.0213104i \(0.00678382\pi\)
−0.726815 + 0.686833i \(0.759000\pi\)
\(600\) −44.5640 83.6549i −1.81932 3.41520i
\(601\) 20.9556 19.9733i 0.854796 0.814730i −0.129441 0.991587i \(-0.541318\pi\)
0.984236 + 0.176857i \(0.0565932\pi\)
\(602\) −3.83429 + 32.2411i −0.156274 + 1.31405i
\(603\) −3.82505 1.24013i −0.155768 0.0505020i
\(604\) 70.5051 + 21.8656i 2.86881 + 0.889699i
\(605\) −1.30342 + 1.50600i −0.0529917 + 0.0612276i
\(606\) −93.6361 + 10.2253i −3.80371 + 0.415376i
\(607\) 3.38690 + 2.72893i 0.137470 + 0.110764i 0.693698 0.720266i \(-0.255980\pi\)
−0.556228 + 0.831030i \(0.687752\pi\)
\(608\) −16.0366 13.4369i −0.650371 0.544938i
\(609\) 3.03779 + 105.477i 0.123097 + 4.27413i
\(610\) 1.33701 32.1294i 0.0541340 1.30088i
\(611\) 5.42110 8.52781i 0.219314 0.344998i
\(612\) 22.0465 + 67.2658i 0.891176 + 2.71906i
\(613\) 15.2632 + 11.9792i 0.616474 + 0.483834i 0.876264 0.481831i \(-0.160028\pi\)
−0.259790 + 0.965665i \(0.583653\pi\)
\(614\) −16.1026 32.7078i −0.649848 1.31998i
\(615\) −10.2630 + 4.14568i −0.413845 + 0.167170i
\(616\) −18.8504 167.646i −0.759505 6.75466i
\(617\) −2.90128 + 0.0928488i −0.116801 + 0.00373795i −0.0903323 0.995912i \(-0.528793\pi\)
−0.0264689 + 0.999650i \(0.508426\pi\)
\(618\) −89.5630 + 34.1938i −3.60275 + 1.37548i
\(619\) −22.4157 8.39404i −0.900961 0.337385i −0.143029 0.989718i \(-0.545684\pi\)
−0.757932 + 0.652334i \(0.773790\pi\)
\(620\) 2.19504 + 1.63374i 0.0881550 + 0.0656127i
\(621\) −1.72200 + 0.244009i −0.0691016 + 0.00979176i
\(622\) −0.631463 2.32195i −0.0253194 0.0931018i
\(623\) 31.4898 19.8768i 1.26161 0.796347i
\(624\) −263.048 + 136.904i −10.5304 + 5.48057i
\(625\) −5.10446 + 5.25359i −0.204178 + 0.210144i
\(626\) 3.56868 6.21169i 0.142633 0.248269i
\(627\) −2.27767 6.39184i −0.0909614 0.255265i
\(628\) −3.05150 30.6681i −0.121768 1.22379i
\(629\) 6.96598 5.39552i 0.277752 0.215133i
\(630\) −31.8213 31.9233i −1.26779 1.27185i
\(631\) −30.9928 3.38450i −1.23380 0.134735i −0.531775 0.846885i \(-0.678475\pi\)
−0.702027 + 0.712150i \(0.747721\pi\)
\(632\) −31.5903 + 29.3474i −1.25660 + 1.16738i
\(633\) 14.8621 40.8786i 0.590717 1.62478i
\(634\) 12.3058 + 84.8877i 0.488726 + 3.37132i
\(635\) 5.47594 + 1.06421i 0.217306 + 0.0422320i
\(636\) 39.7385 + 17.5507i 1.57573 + 0.695932i
\(637\) −13.2899 + 95.9983i −0.526565 + 3.80359i
\(638\) 50.5863 + 77.3712i 2.00273 + 3.06316i
\(639\) 5.45450 + 1.92401i 0.215777 + 0.0761128i
\(640\) −65.1541 + 19.7501i −2.57544 + 0.780689i
\(641\) −18.7154 8.55361i −0.739213 0.337847i 0.0102017 0.999948i \(-0.496753\pi\)
−0.749415 + 0.662101i \(0.769665\pi\)
\(642\) −14.0576 24.1103i −0.554808 0.951559i
\(643\) −24.7889 + 23.3261i −0.977578 + 0.919892i −0.996801 0.0799234i \(-0.974532\pi\)
0.0192232 + 0.999815i \(0.493881\pi\)
\(644\) 84.9934 + 123.005i 3.34921 + 4.84706i
\(645\) 6.40723 + 3.23115i 0.252284 + 0.127226i
\(646\) 4.49166 7.16660i 0.176722 0.281966i
\(647\) 2.21607 + 1.71647i 0.0871228 + 0.0674812i 0.654982 0.755645i \(-0.272676\pi\)
−0.567859 + 0.823126i \(0.692228\pi\)
\(648\) −11.0677 88.2458i −0.434782 3.46662i
\(649\) −5.08518 0.720575i −0.199611 0.0282850i
\(650\) 50.9064 + 50.4202i 1.99671 + 1.97764i
\(651\) −4.49223 1.61698i −0.176065 0.0633744i
\(652\) 127.484 + 53.4039i 4.99266 + 2.09146i
\(653\) −3.69835 42.7094i −0.144727 1.67135i −0.614772 0.788705i \(-0.710752\pi\)
0.470045 0.882643i \(-0.344238\pi\)
\(654\) −32.7520 4.42741i −1.28070 0.173126i
\(655\) −3.94713 + 2.21755i −0.154227 + 0.0866470i
\(656\) −12.7451 66.7194i −0.497613 2.60496i
\(657\) 1.83105 24.8398i 0.0714359 0.969094i
\(658\) −8.16265 + 16.5801i −0.318213 + 0.646358i
\(659\) 33.9666 16.3192i 1.32315 0.635707i 0.367450 0.930043i \(-0.380231\pi\)
0.955702 + 0.294336i \(0.0950985\pi\)
\(660\) −55.7526 13.4511i −2.17017 0.523582i
\(661\) −3.54263 + 4.72810i −0.137792 + 0.183902i −0.863876 0.503705i \(-0.831970\pi\)
0.726084 + 0.687606i \(0.241339\pi\)
\(662\) −10.8847 + 12.4150i −0.423047 + 0.482523i
\(663\) −39.4865 55.6106i −1.53353 2.15974i
\(664\) −38.5166 + 48.7537i −1.49473 + 1.89201i
\(665\) −0.369617 + 3.97253i −0.0143331 + 0.154048i
\(666\) 17.2111 8.67952i 0.666916 0.336325i
\(667\) −46.7641 25.4910i −1.81071 0.987015i
\(668\) −1.30556 + 2.60960i −0.0505137 + 0.100968i
\(669\) −18.8102 + 8.45187i −0.727244 + 0.326768i
\(670\) 3.98124 + 0.800196i 0.153809 + 0.0309143i
\(671\) 26.1972 + 25.2911i 1.01133 + 0.976353i
\(672\) 256.616 171.317i 9.89918 6.60869i
\(673\) 0.110117 0.335978i 0.00424471 0.0129510i −0.948118 0.317918i \(-0.897016\pi\)
0.952363 + 0.304967i \(0.0986455\pi\)
\(674\) 13.6341 + 16.5929i 0.525166 + 0.639134i
\(675\) 1.02397 0.475937i 0.0394128 0.0183188i
\(676\) 143.420 142.050i 5.51615 5.46346i
\(677\) 0.153919 0.114560i 0.00591560 0.00440291i −0.594102 0.804390i \(-0.702492\pi\)
0.600017 + 0.799987i \(0.295160\pi\)
\(678\) −25.7559 + 7.44884i −0.989150 + 0.286071i
\(679\) −18.3008 + 46.5879i −0.702320 + 1.78788i
\(680\) −19.4535 42.2069i −0.746009 1.61856i
\(681\) 0.292483 + 13.0584i 0.0112080 + 0.500401i
\(682\) −4.09522 + 0.850402i −0.156814 + 0.0325636i
\(683\) 12.0236 12.6959i 0.460069 0.485796i −0.454202 0.890899i \(-0.650076\pi\)
0.914271 + 0.405102i \(0.132764\pi\)
\(684\) 9.36127 10.0123i 0.357937 0.382830i
\(685\) −17.4720 1.23175i −0.667570 0.0470626i
\(686\) 2.54075 88.2189i 0.0970064 3.36821i
\(687\) 31.6121 35.5943i 1.20608 1.35801i
\(688\) −27.0769 + 34.7281i −1.03230 + 1.32400i
\(689\) −21.2071 2.45329i −0.807927 0.0934628i
\(690\) 43.1528 11.2919i 1.64280 0.429876i
\(691\) 9.31381 + 29.6960i 0.354314 + 1.12969i 0.946177 + 0.323650i \(0.104910\pi\)
−0.591863 + 0.806039i \(0.701607\pi\)
\(692\) −114.513 56.8325i −4.35313 2.16045i
\(693\) 50.9554 2.93753i 1.93564 0.111587i
\(694\) −18.3678 + 20.1561i −0.697230 + 0.765114i
\(695\) 3.16130 + 5.75562i 0.119915 + 0.218323i
\(696\) −117.243 + 207.132i −4.44410 + 7.85133i
\(697\) 14.7983 5.00794i 0.560524 0.189689i
\(698\) −43.5612 7.88874i −1.64882 0.298593i
\(699\) 17.6039 0.676147i 0.665839 0.0255742i
\(700\) −75.9760 60.4186i −2.87162 2.28361i
\(701\) −16.1690 9.77721i −0.610694 0.369280i 0.178032 0.984025i \(-0.443027\pi\)
−0.788726 + 0.614745i \(0.789259\pi\)
\(702\) −2.42509 5.35134i −0.0915291 0.201973i
\(703\) −1.56511 0.679305i −0.0590292 0.0256205i
\(704\) 61.5971 133.642i 2.32153 5.03684i
\(705\) 2.82742 + 2.94753i 0.106487 + 0.111010i
\(706\) 66.1059 32.8082i 2.48793 1.23475i
\(707\) −54.4771 + 31.0663i −2.04882 + 1.16837i
\(708\) −6.70506 19.2042i −0.251992 0.721738i
\(709\) −36.7076 + 7.13387i −1.37858 + 0.267918i −0.825120 0.564957i \(-0.808893\pi\)
−0.553461 + 0.832875i \(0.686693\pi\)
\(710\) −5.69527 1.29717i −0.213740 0.0486819i
\(711\) −8.34622 10.0260i −0.313008 0.376004i
\(712\) 83.9795 1.61219i 3.14726 0.0604194i
\(713\) 1.84714 1.54769i 0.0691758 0.0579616i
\(714\) 82.8281 + 93.2621i 3.09976 + 3.49025i
\(715\) 28.1270 1.80213i 1.05189 0.0673957i
\(716\) −19.5750 37.9071i −0.731554 1.41665i
\(717\) 10.0938 + 58.9588i 0.376958 + 2.20186i
\(718\) −0.853480 5.39984i −0.0318516 0.201520i
\(719\) 40.4904 1.03652i 1.51004 0.0386555i 0.738247 0.674531i \(-0.235654\pi\)
0.771792 + 0.635875i \(0.219361\pi\)
\(720\) −14.5280 59.3824i −0.541426 2.21305i
\(721\) −45.6359 + 44.6252i −1.69957 + 1.66193i
\(722\) 51.0553 + 2.94328i 1.90008 + 0.109538i
\(723\) 10.1534 + 5.79011i 0.377609 + 0.215336i
\(724\) −8.20760 + 44.5094i −0.305033 + 1.65418i
\(725\) 33.8570 + 7.03065i 1.25742 + 0.261112i
\(726\) 9.89784 6.88607i 0.367343 0.255566i
\(727\) 5.92362 3.68628i 0.219695 0.136717i −0.414063 0.910248i \(-0.635891\pi\)
0.633758 + 0.773532i \(0.281512\pi\)
\(728\) −206.827 + 255.020i −7.66551 + 9.45168i
\(729\) 29.0941 2.05108i 1.07756 0.0759660i
\(730\) 1.04582 + 25.1319i 0.0387077 + 0.930175i
\(731\) −8.76587 5.07345i −0.324217 0.187648i
\(732\) −41.3941 + 138.147i −1.52997 + 5.10605i
\(733\) 10.1414 18.1872i 0.374582 0.671760i −0.618935 0.785442i \(-0.712436\pi\)
0.993517 + 0.113682i \(0.0362645\pi\)
\(734\) 59.0862 + 12.6646i 2.18091 + 0.467458i
\(735\) −36.4137 14.4388i −1.34314 0.532582i
\(736\) 9.46050 + 155.449i 0.348719 + 5.72991i
\(737\) −3.67111 + 2.76904i −0.135227 + 0.101999i
\(738\) 33.8690 4.57841i 1.24674 0.168534i
\(739\) −7.23172 32.2269i −0.266023 1.18549i −0.908069 0.418820i \(-0.862444\pi\)
0.642046 0.766666i \(-0.278086\pi\)
\(740\) −12.0447 + 7.93007i −0.442770 + 0.291515i
\(741\) −5.75737 + 11.8857i −0.211502 + 0.436634i
\(742\) 39.0422 + 0.249809i 1.43328 + 0.00917078i
\(743\) 3.76220 + 4.02384i 0.138022 + 0.147620i 0.795728 0.605654i \(-0.207088\pi\)
−0.657707 + 0.753274i \(0.728473\pi\)
\(744\) −6.78348 8.36413i −0.248694 0.306644i
\(745\) −18.1779 6.28156i −0.665986 0.230138i
\(746\) 47.0106 + 17.9480i 1.72118 + 0.657122i
\(747\) −14.0949 12.4375i −0.515705 0.455066i
\(748\) 77.4677 + 23.4826i 2.83250 + 0.858611i
\(749\) −14.9768 10.9988i −0.547240 0.401889i
\(750\) −57.9463 + 35.5478i −2.11590 + 1.29802i
\(751\) −0.00339818 + 1.06220i −0.000124001 + 0.0387603i 0.999745 + 0.0225787i \(0.00718764\pi\)
−0.999869 + 0.0161816i \(0.994849\pi\)
\(752\) −21.1095 + 13.5143i −0.769785 + 0.492815i
\(753\) 26.6413 25.7198i 0.970861 0.937283i
\(754\) 38.2700 175.801i 1.39371 6.40230i
\(755\) 3.48447 14.2426i 0.126813 0.518341i
\(756\) 4.05314 + 6.85049i 0.147411 + 0.249150i
\(757\) −16.3827 + 16.6469i −0.595439 + 0.605040i −0.943071 0.332590i \(-0.892077\pi\)
0.347633 + 0.937631i \(0.386986\pi\)
\(758\) −55.6794 + 77.3624i −2.02237 + 2.80993i
\(759\) −22.8876 + 45.0263i −0.830769 + 1.63435i
\(760\) −5.34995 + 7.23623i −0.194063 + 0.262486i
\(761\) −6.34320 + 9.43598i −0.229941 + 0.342054i −0.927068 0.374893i \(-0.877679\pi\)
0.697127 + 0.716948i \(0.254461\pi\)
\(762\) −30.5327 14.4297i −1.10608 0.522733i
\(763\) −21.1767 + 5.97794i −0.766649 + 0.216416i
\(764\) −3.26784 6.97228i −0.118226 0.252248i
\(765\) 13.0705 5.18271i 0.472565 0.187381i
\(766\) 9.95028 1.67074i 0.359518 0.0603664i
\(767\) 5.94269 + 8.03796i 0.214578 + 0.290234i
\(768\) 208.028 9.32351i 7.50657 0.336433i
\(769\) 21.6359 + 12.7078i 0.780211 + 0.458254i 0.841761 0.539850i \(-0.181519\pi\)
−0.0615505 + 0.998104i \(0.519605\pi\)
\(770\) −50.7779 + 8.86048i −1.82991 + 0.319310i