Properties

Label 983.2.c.a.2.18
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 2.18
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.578509 + 1.72765i) q^{2} +(2.91461 + 1.63747i) q^{3} +(-1.05340 - 0.794559i) q^{4} +(-0.586439 + 0.884543i) q^{5} +(-4.51512 + 4.08815i) q^{6} +(-0.437511 + 0.965436i) q^{7} +(-1.02232 + 0.701577i) q^{8} +(4.25313 + 6.98303i) q^{9} +O(q^{10})\) \(q+(-0.578509 + 1.72765i) q^{2} +(2.91461 + 1.63747i) q^{3} +(-1.05340 - 0.794559i) q^{4} +(-0.586439 + 0.884543i) q^{5} +(-4.51512 + 4.08815i) q^{6} +(-0.437511 + 0.965436i) q^{7} +(-1.02232 + 0.701577i) q^{8} +(4.25313 + 6.98303i) q^{9} +(-1.18893 - 1.52488i) q^{10} +(-0.814669 - 0.0521967i) q^{11} +(-1.76919 - 4.04075i) q^{12} +(-3.48479 - 4.02639i) q^{13} +(-1.41484 - 1.31438i) q^{14} +(-3.15766 + 1.61783i) q^{15} +(-1.34570 - 4.70945i) q^{16} +(-3.67219 + 1.62184i) q^{17} +(-14.5247 + 3.30819i) q^{18} +(4.48703 + 3.42973i) q^{19} +(1.32058 - 0.465820i) q^{20} +(-2.85605 + 2.09746i) q^{21} +(0.561471 - 1.37727i) q^{22} +(-0.845539 - 7.97928i) q^{23} +(-4.12848 + 0.370809i) q^{24} +(1.50811 + 3.56804i) q^{25} +(8.97219 - 3.69121i) q^{26} +(0.608848 + 17.2941i) q^{27} +(1.22797 - 0.669364i) q^{28} +(2.80691 - 4.06224i) q^{29} +(-0.968309 - 6.39127i) q^{30} +(3.83204 + 5.70044i) q^{31} +(6.43750 + 0.288519i) q^{32} +(-2.28898 - 1.48613i) q^{33} +(-0.677590 - 7.28253i) q^{34} +(-0.597396 - 0.953167i) q^{35} +(1.06817 - 10.7353i) q^{36} +(5.40377 - 1.34038i) q^{37} +(-8.52118 + 5.76790i) q^{38} +(-3.56371 - 17.4416i) q^{39} +(-0.0210479 - 1.31572i) q^{40} +(1.75277 + 0.157429i) q^{41} +(-1.97144 - 6.14767i) q^{42} +(-0.876661 - 1.20176i) q^{43} +(0.816702 + 0.702287i) q^{44} +(-8.67099 - 0.333044i) q^{45} +(14.2746 + 3.15528i) q^{46} +(0.944066 + 3.15068i) q^{47} +(3.78939 - 15.9298i) q^{48} +(3.87407 + 4.41872i) q^{49} +(-7.03680 + 0.541352i) q^{50} +(-13.3587 - 1.28606i) q^{51} +(0.471680 + 7.01028i) q^{52} +(-10.1693 + 9.32673i) q^{53} +(-30.2305 - 8.95293i) q^{54} +(0.523924 - 0.690000i) q^{55} +(-0.230052 - 1.29393i) q^{56} +(7.46186 + 17.3437i) q^{57} +(5.39432 + 7.19942i) q^{58} +(1.37482 + 0.105767i) q^{59} +(4.61174 + 0.804726i) q^{60} +(2.27213 + 1.92867i) q^{61} +(-12.0653 + 3.32268i) q^{62} +(-8.60245 + 1.05097i) q^{63} +(-0.699405 + 1.81449i) q^{64} +(5.60513 - 0.721214i) q^{65} +(3.89172 - 3.09482i) q^{66} +(4.29018 - 3.68916i) q^{67} +(5.15695 + 1.20932i) q^{68} +(10.6014 - 24.6411i) q^{69} +(1.99234 - 0.480679i) q^{70} +(-4.44654 + 3.62988i) q^{71} +(-9.24718 - 4.15498i) q^{72} +(-2.17892 - 1.55766i) q^{73} +(-0.810422 + 10.1113i) q^{74} +(-1.44701 + 12.8690i) q^{75} +(-2.00152 - 7.17810i) q^{76} +(0.406819 - 0.763674i) q^{77} +(32.1947 + 3.93327i) q^{78} +(1.12784 - 0.167184i) q^{79} +(4.95489 + 1.57147i) q^{80} +(-15.2895 + 29.6082i) q^{81} +(-1.28598 + 2.93711i) q^{82} +(10.9979 - 3.41076i) q^{83} +(4.67513 + 0.0598295i) q^{84} +(0.718925 - 4.19933i) q^{85} +(2.58339 - 0.819337i) q^{86} +(14.8329 - 7.24362i) q^{87} +(0.869472 - 0.518192i) q^{88} +(3.89296 + 2.56308i) q^{89} +(5.59163 - 14.7878i) q^{90} +(5.41185 - 1.60275i) q^{91} +(-5.44932 + 9.07722i) q^{92} +(1.83460 + 22.8894i) q^{93} +(-5.98944 - 0.191678i) q^{94} +(-5.66511 + 1.95764i) q^{95} +(18.2904 + 11.3821i) q^{96} +(4.85281 - 0.248617i) q^{97} +(-9.87520 + 4.13678i) q^{98} +(-3.10040 - 5.91086i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.578509 + 1.72765i −0.409068 + 1.22164i 0.520780 + 0.853691i \(0.325641\pi\)
−0.929847 + 0.367945i \(0.880061\pi\)
\(3\) 2.91461 + 1.63747i 1.68275 + 0.945395i 0.969705 + 0.244280i \(0.0785517\pi\)
0.713049 + 0.701115i \(0.247314\pi\)
\(4\) −1.05340 0.794559i −0.526701 0.397280i
\(5\) −0.586439 + 0.884543i −0.262264 + 0.395580i −0.940787 0.338999i \(-0.889912\pi\)
0.678523 + 0.734579i \(0.262620\pi\)
\(6\) −4.51512 + 4.08815i −1.84329 + 1.66898i
\(7\) −0.437511 + 0.965436i −0.165364 + 0.364900i −0.975058 0.221952i \(-0.928757\pi\)
0.809694 + 0.586852i \(0.199633\pi\)
\(8\) −1.02232 + 0.701577i −0.361444 + 0.248045i
\(9\) 4.25313 + 6.98303i 1.41771 + 2.32768i
\(10\) −1.18893 1.52488i −0.375971 0.482210i
\(11\) −0.814669 0.0521967i −0.245632 0.0157379i −0.0593622 0.998237i \(-0.518907\pi\)
−0.186270 + 0.982499i \(0.559640\pi\)
\(12\) −1.76919 4.04075i −0.510722 1.16646i
\(13\) −3.48479 4.02639i −0.966506 1.11672i −0.993123 0.117074i \(-0.962649\pi\)
0.0266172 0.999646i \(-0.491526\pi\)
\(14\) −1.41484 1.31438i −0.378131 0.351283i
\(15\) −3.15766 + 1.61783i −0.815304 + 0.417721i
\(16\) −1.34570 4.70945i −0.336426 1.17736i
\(17\) −3.67219 + 1.62184i −0.890637 + 0.393355i −0.798220 0.602366i \(-0.794225\pi\)
−0.0924167 + 0.995720i \(0.529459\pi\)
\(18\) −14.5247 + 3.30819i −3.42351 + 0.779748i
\(19\) 4.48703 + 3.42973i 1.02939 + 0.786834i 0.977311 0.211808i \(-0.0679353\pi\)
0.0520831 + 0.998643i \(0.483414\pi\)
\(20\) 1.32058 0.465820i 0.295290 0.104160i
\(21\) −2.85605 + 2.09746i −0.623241 + 0.457703i
\(22\) 0.561471 1.37727i 0.119706 0.293635i
\(23\) −0.845539 7.97928i −0.176307 1.66379i −0.632987 0.774163i \(-0.718171\pi\)
0.456680 0.889631i \(-0.349039\pi\)
\(24\) −4.12848 + 0.370809i −0.842722 + 0.0756911i
\(25\) 1.50811 + 3.56804i 0.301622 + 0.713609i
\(26\) 8.97219 3.69121i 1.75959 0.723905i
\(27\) 0.608848 + 17.2941i 0.117173 + 3.32826i
\(28\) 1.22797 0.669364i 0.232065 0.126498i
\(29\) 2.80691 4.06224i 0.521231 0.754339i −0.470538 0.882380i \(-0.655940\pi\)
0.991769 + 0.128041i \(0.0408688\pi\)
\(30\) −0.968309 6.39127i −0.176788 1.16688i
\(31\) 3.83204 + 5.70044i 0.688254 + 1.02383i 0.997347 + 0.0727975i \(0.0231927\pi\)
−0.309092 + 0.951032i \(0.600025\pi\)
\(32\) 6.43750 + 0.288519i 1.13800 + 0.0510034i
\(33\) −2.28898 1.48613i −0.398460 0.258702i
\(34\) −0.677590 7.28253i −0.116206 1.24894i
\(35\) −0.597396 0.953167i −0.100978 0.161115i
\(36\) 1.06817 10.7353i 0.178029 1.78922i
\(37\) 5.40377 1.34038i 0.888374 0.220357i 0.230129 0.973160i \(-0.426085\pi\)
0.658245 + 0.752804i \(0.271299\pi\)
\(38\) −8.52118 + 5.76790i −1.38232 + 0.935677i
\(39\) −3.56371 17.4416i −0.570650 2.79289i
\(40\) −0.0210479 1.31572i −0.00332796 0.208033i
\(41\) 1.75277 + 0.157429i 0.273737 + 0.0245863i 0.225477 0.974248i \(-0.427606\pi\)
0.0482600 + 0.998835i \(0.484632\pi\)
\(42\) −1.97144 6.14767i −0.304199 0.948605i
\(43\) −0.876661 1.20176i −0.133690 0.183267i 0.735829 0.677167i \(-0.236793\pi\)
−0.869518 + 0.493900i \(0.835571\pi\)
\(44\) 0.816702 + 0.702287i 0.123122 + 0.105874i
\(45\) −8.67099 0.333044i −1.29259 0.0496473i
\(46\) 14.2746 + 3.15528i 2.10467 + 0.465221i
\(47\) 0.944066 + 3.15068i 0.137706 + 0.459574i 0.998806 0.0488624i \(-0.0155596\pi\)
−0.861099 + 0.508437i \(0.830224\pi\)
\(48\) 3.78939 15.9298i 0.546951 2.29927i
\(49\) 3.87407 + 4.41872i 0.553438 + 0.631245i
\(50\) −7.03680 + 0.541352i −0.995154 + 0.0765587i
\(51\) −13.3587 1.28606i −1.87060 0.180085i
\(52\) 0.471680 + 7.01028i 0.0654102 + 0.972151i
\(53\) −10.1693 + 9.32673i −1.39686 + 1.28112i −0.482685 + 0.875794i \(0.660338\pi\)
−0.914170 + 0.405331i \(0.867156\pi\)
\(54\) −30.2305 8.95293i −4.11385 1.21834i
\(55\) 0.523924 0.690000i 0.0706459 0.0930396i
\(56\) −0.230052 1.29393i −0.0307420 0.172909i
\(57\) 7.46186 + 17.3437i 0.988348 + 2.29723i
\(58\) 5.39432 + 7.19942i 0.708309 + 0.945330i
\(59\) 1.37482 + 0.105767i 0.178987 + 0.0137697i 0.165889 0.986144i \(-0.446951\pi\)
0.0130981 + 0.999914i \(0.495831\pi\)
\(60\) 4.61174 + 0.804726i 0.595374 + 0.103890i
\(61\) 2.27213 + 1.92867i 0.290917 + 0.246941i 0.780704 0.624900i \(-0.214860\pi\)
−0.489787 + 0.871842i \(0.662926\pi\)
\(62\) −12.0653 + 3.32268i −1.53229 + 0.421981i
\(63\) −8.60245 + 1.05097i −1.08381 + 0.132410i
\(64\) −0.699405 + 1.81449i −0.0874256 + 0.226811i
\(65\) 5.60513 0.721214i 0.695231 0.0894555i
\(66\) 3.89172 3.09482i 0.479037 0.380946i
\(67\) 4.29018 3.68916i 0.524129 0.450702i −0.349752 0.936842i \(-0.613734\pi\)
0.873881 + 0.486140i \(0.161596\pi\)
\(68\) 5.15695 + 1.20932i 0.625372 + 0.146651i
\(69\) 10.6014 24.6411i 1.27626 2.96643i
\(70\) 1.99234 0.480679i 0.238130 0.0574521i
\(71\) −4.44654 + 3.62988i −0.527708 + 0.430788i −0.858423 0.512943i \(-0.828555\pi\)
0.330715 + 0.943731i \(0.392710\pi\)
\(72\) −9.24718 4.15498i −1.08979 0.489669i
\(73\) −2.17892 1.55766i −0.255023 0.182310i 0.446856 0.894606i \(-0.352544\pi\)
−0.701880 + 0.712296i \(0.747656\pi\)
\(74\) −0.810422 + 10.1113i −0.0942097 + 1.17541i
\(75\) −1.44701 + 12.8690i −0.167086 + 1.48598i
\(76\) −2.00152 7.17810i −0.229590 0.823384i
\(77\) 0.406819 0.763674i 0.0463614 0.0870288i
\(78\) 32.1947 + 3.93327i 3.64533 + 0.445355i
\(79\) 1.12784 0.167184i 0.126892 0.0188097i −0.0828836 0.996559i \(-0.526413\pi\)
0.209776 + 0.977750i \(0.432727\pi\)
\(80\) 4.95489 + 1.57147i 0.553973 + 0.175696i
\(81\) −15.2895 + 29.6082i −1.69883 + 3.28980i
\(82\) −1.28598 + 2.93711i −0.142013 + 0.324350i
\(83\) 10.9979 3.41076i 1.20718 0.374380i 0.374023 0.927419i \(-0.377978\pi\)
0.833155 + 0.553039i \(0.186532\pi\)
\(84\) 4.67513 + 0.0598295i 0.510098 + 0.00652794i
\(85\) 0.718925 4.19933i 0.0779784 0.455481i
\(86\) 2.58339 0.819337i 0.278574 0.0883514i
\(87\) 14.8329 7.24362i 1.59025 0.776597i
\(88\) 0.869472 0.518192i 0.0926860 0.0552394i
\(89\) 3.89296 + 2.56308i 0.412653 + 0.271686i 0.739188 0.673499i \(-0.235209\pi\)
−0.326536 + 0.945185i \(0.605881\pi\)
\(90\) 5.59163 14.7878i 0.589410 1.55877i
\(91\) 5.41185 1.60275i 0.567316 0.168014i
\(92\) −5.44932 + 9.07722i −0.568130 + 0.946366i
\(93\) 1.83460 + 22.8894i 0.190239 + 2.37352i
\(94\) −5.98944 0.191678i −0.617764 0.0197701i
\(95\) −5.66511 + 1.95764i −0.581228 + 0.200850i
\(96\) 18.2904 + 11.3821i 1.86675 + 1.16169i
\(97\) 4.85281 0.248617i 0.492728 0.0252432i 0.196781 0.980448i \(-0.436951\pi\)
0.295947 + 0.955204i \(0.404365\pi\)
\(98\) −9.87520 + 4.13678i −0.997546 + 0.417878i
\(99\) −3.10040 5.91086i −0.311602 0.594063i
\(100\) 1.24637 4.95687i 0.124637 0.495687i
\(101\) −13.8934 10.0670i −1.38245 1.00171i −0.996872 0.0790294i \(-0.974818\pi\)
−0.385575 0.922677i \(-0.625997\pi\)
\(102\) 9.95002 22.3353i 0.985199 2.21152i
\(103\) 4.74407 + 1.84608i 0.467447 + 0.181900i 0.584779 0.811193i \(-0.301181\pi\)
−0.117331 + 0.993093i \(0.537434\pi\)
\(104\) 6.38739 + 1.67140i 0.626335 + 0.163895i
\(105\) −0.180396 3.75633i −0.0176049 0.366581i
\(106\) −10.2304 22.9646i −0.993660 2.23052i
\(107\) −1.48082 + 7.01821i −0.143156 + 0.678476i 0.846189 + 0.532884i \(0.178892\pi\)
−0.989345 + 0.145592i \(0.953491\pi\)
\(108\) 13.0998 18.7014i 1.26053 1.79955i
\(109\) 8.43084 + 9.99686i 0.807528 + 0.957526i 0.999716 0.0238325i \(-0.00758685\pi\)
−0.192188 + 0.981358i \(0.561558\pi\)
\(110\) 0.888987 + 1.30433i 0.0847616 + 0.124363i
\(111\) 17.9447 + 4.94184i 1.70324 + 0.469059i
\(112\) 5.13543 + 0.761245i 0.485253 + 0.0719309i
\(113\) 0.500693 + 0.244513i 0.0471012 + 0.0230018i 0.462218 0.886766i \(-0.347054\pi\)
−0.415117 + 0.909768i \(0.636259\pi\)
\(114\) −34.2807 + 2.85802i −3.21068 + 0.267678i
\(115\) 7.55387 + 3.93144i 0.704402 + 0.366609i
\(116\) −6.18450 + 2.04891i −0.574217 + 0.190237i
\(117\) 13.2951 41.4591i 1.22914 3.83289i
\(118\) −0.978077 + 2.31403i −0.0900393 + 0.213024i
\(119\) 0.0408372 4.25484i 0.00374354 0.390040i
\(120\) 2.09310 3.86928i 0.191073 0.353215i
\(121\) −10.2491 1.31875i −0.931736 0.119887i
\(122\) −4.64653 + 2.80971i −0.420677 + 0.254379i
\(123\) 4.85087 + 3.32896i 0.437388 + 0.300162i
\(124\) 0.492660 9.04964i 0.0442422 0.812682i
\(125\) −9.25585 1.73743i −0.827868 0.155400i
\(126\) 3.16088 15.4701i 0.281593 1.37818i
\(127\) −4.24917 10.2352i −0.377053 0.908231i −0.992744 0.120244i \(-0.961632\pi\)
0.615691 0.787987i \(-0.288877\pi\)
\(128\) 7.20117 + 5.95577i 0.636499 + 0.526421i
\(129\) −0.587276 4.93818i −0.0517068 0.434783i
\(130\) −1.99661 + 10.1010i −0.175114 + 0.885913i
\(131\) 5.23694 + 2.68314i 0.457554 + 0.234427i 0.669439 0.742867i \(-0.266535\pi\)
−0.211885 + 0.977295i \(0.567960\pi\)
\(132\) 1.23039 + 3.38422i 0.107092 + 0.294559i
\(133\) −5.27431 + 2.83139i −0.457340 + 0.245513i
\(134\) 3.89168 + 9.54617i 0.336190 + 0.824663i
\(135\) −15.6545 9.60340i −1.34732 0.826529i
\(136\) 2.61630 4.23437i 0.224346 0.363094i
\(137\) −8.42348 14.8817i −0.719666 1.27143i −0.954157 0.299307i \(-0.903244\pi\)
0.234490 0.972118i \(-0.424658\pi\)
\(138\) 36.4382 + 32.5707i 3.10183 + 2.77260i
\(139\) 5.94165 11.3276i 0.503964 0.960798i −0.491961 0.870617i \(-0.663720\pi\)
0.995925 0.0901810i \(-0.0287446\pi\)
\(140\) −0.128049 + 1.47874i −0.0108221 + 0.124976i
\(141\) −2.40757 + 10.7289i −0.202754 + 0.903537i
\(142\) −3.69882 9.78201i −0.310398 0.820888i
\(143\) 2.62879 + 3.46207i 0.219830 + 0.289513i
\(144\) 27.1628 29.4270i 2.26356 2.45225i
\(145\) 1.94714 + 4.86509i 0.161701 + 0.404024i
\(146\) 3.95162 2.86330i 0.327039 0.236969i
\(147\) 4.05589 + 19.2225i 0.334524 + 1.58545i
\(148\) −6.75735 2.88166i −0.555451 0.236871i
\(149\) −3.98898 15.4457i −0.326790 1.26537i −0.896325 0.443398i \(-0.853773\pi\)
0.569535 0.821967i \(-0.307123\pi\)
\(150\) −21.3960 9.94474i −1.74698 0.811984i
\(151\) −1.84200 + 0.663027i −0.149900 + 0.0539564i −0.412551 0.910934i \(-0.635362\pi\)
0.262652 + 0.964891i \(0.415403\pi\)
\(152\) −6.99339 0.358283i −0.567239 0.0290606i
\(153\) −26.9437 18.7451i −2.17827 1.51545i
\(154\) 1.08402 + 1.14464i 0.0873526 + 0.0922374i
\(155\) −7.28955 + 0.0466417i −0.585510 + 0.00374635i
\(156\) −10.1044 + 21.2046i −0.808997 + 1.69773i
\(157\) 12.8980 + 13.9731i 1.02937 + 1.11518i 0.993269 + 0.115828i \(0.0369520\pi\)
0.0361008 + 0.999348i \(0.488506\pi\)
\(158\) −0.363630 + 2.04524i −0.0289288 + 0.162710i
\(159\) −44.9117 + 10.5319i −3.56173 + 0.835236i
\(160\) −4.03041 + 5.52505i −0.318632 + 0.436793i
\(161\) 8.07341 + 2.67471i 0.636274 + 0.210796i
\(162\) −42.3076 43.5436i −3.32400 3.42111i
\(163\) −10.3944 + 2.64899i −0.814153 + 0.207485i −0.631184 0.775634i \(-0.717431\pi\)
−0.182970 + 0.983119i \(0.558571\pi\)
\(164\) −1.72129 1.55852i −0.134410 0.121700i
\(165\) 2.65689 1.15317i 0.206839 0.0897744i
\(166\) −0.469770 + 20.9738i −0.0364612 + 1.62788i
\(167\) −4.22905 22.9339i −0.327253 1.77468i −0.587589 0.809160i \(-0.699923\pi\)
0.260335 0.965518i \(-0.416167\pi\)
\(168\) 1.44826 4.14801i 0.111736 0.320026i
\(169\) −2.20300 + 15.1967i −0.169462 + 1.16898i
\(170\) 6.83908 + 3.67140i 0.524533 + 0.281584i
\(171\) −4.86601 + 45.9201i −0.372113 + 3.51160i
\(172\) −0.0313946 + 1.96250i −0.00239382 + 0.149639i
\(173\) 23.3848 4.38960i 1.77792 0.333735i 0.810272 0.586055i \(-0.199320\pi\)
0.967644 + 0.252319i \(0.0811933\pi\)
\(174\) 3.93352 + 29.8166i 0.298199 + 2.26039i
\(175\) −4.10453 0.105072i −0.310273 0.00794269i
\(176\) 0.850486 + 3.90689i 0.0641078 + 0.294493i
\(177\) 3.83389 + 2.55950i 0.288173 + 0.192384i
\(178\) −6.68023 + 5.24292i −0.500705 + 0.392973i
\(179\) 7.40464 + 3.55755i 0.553448 + 0.265904i 0.688871 0.724884i \(-0.258107\pi\)
−0.135422 + 0.990788i \(0.543239\pi\)
\(180\) 8.86942 + 7.24045i 0.661088 + 0.539671i
\(181\) −8.70815 17.4062i −0.647272 1.29379i −0.941164 0.337951i \(-0.890266\pi\)
0.293892 0.955839i \(-0.405049\pi\)
\(182\) −0.361807 + 10.2770i −0.0268189 + 0.761783i
\(183\) 3.46424 + 9.34190i 0.256084 + 0.690573i
\(184\) 6.46249 + 7.56415i 0.476421 + 0.557637i
\(185\) −1.98336 + 5.56592i −0.145820 + 0.409215i
\(186\) −40.6064 10.0722i −2.97740 0.738529i
\(187\) 3.07628 1.12959i 0.224960 0.0826038i
\(188\) 1.50892 4.06906i 0.110050 0.296766i
\(189\) −16.9627 6.97856i −1.23386 0.507616i
\(190\) −0.104807 10.9199i −0.00760350 0.792211i
\(191\) 6.08696 + 3.21765i 0.440437 + 0.232821i 0.672824 0.739803i \(-0.265081\pi\)
−0.232387 + 0.972623i \(0.574653\pi\)
\(192\) −5.00967 + 4.14328i −0.361542 + 0.299015i
\(193\) 13.3729 + 12.7461i 0.962604 + 0.917485i 0.996638 0.0819359i \(-0.0261103\pi\)
−0.0340336 + 0.999421i \(0.510835\pi\)
\(194\) −2.37787 + 8.52780i −0.170721 + 0.612261i
\(195\) 17.5178 + 7.07619i 1.25447 + 0.506736i
\(196\) −0.570022 7.73287i −0.0407158 0.552348i
\(197\) −1.29577 + 0.347941i −0.0923198 + 0.0247898i −0.305198 0.952289i \(-0.598723\pi\)
0.212878 + 0.977079i \(0.431716\pi\)
\(198\) 12.0055 1.93694i 0.853196 0.137652i
\(199\) −2.22955 + 3.45817i −0.158048 + 0.245143i −0.910505 0.413499i \(-0.864307\pi\)
0.752456 + 0.658642i \(0.228869\pi\)
\(200\) −4.04503 2.58962i −0.286027 0.183114i
\(201\) 18.5451 3.72742i 1.30807 0.262912i
\(202\) 25.4298 18.1792i 1.78923 1.27908i
\(203\) 2.69378 + 4.48717i 0.189066 + 0.314938i
\(204\) 13.0503 + 11.9691i 0.913703 + 0.838001i
\(205\) −1.16715 + 1.45808i −0.0815171 + 0.101837i
\(206\) −5.93388 + 7.12814i −0.413433 + 0.496641i
\(207\) 52.1233 39.8413i 3.62282 2.76916i
\(208\) −14.2726 + 21.8298i −0.989626 + 1.51362i
\(209\) −3.47642 3.02831i −0.240469 0.209472i
\(210\) 6.59401 + 1.86141i 0.455030 + 0.128450i
\(211\) −4.50855 27.3874i −0.310381 1.88542i −0.446580 0.894744i \(-0.647358\pi\)
0.136199 0.990681i \(-0.456511\pi\)
\(212\) 18.1230 1.74472i 1.24469 0.119828i
\(213\) −18.9038 + 3.29862i −1.29527 + 0.226017i
\(214\) −11.2684 6.61844i −0.770290 0.452427i
\(215\) 1.57712 0.0706841i 0.107559 0.00482061i
\(216\) −12.7556 17.2530i −0.867909 1.17391i
\(217\) −7.17997 + 1.20558i −0.487408 + 0.0818402i
\(218\) −22.1484 + 8.78230i −1.50008 + 0.594813i
\(219\) −3.80009 8.10790i −0.256786 0.547881i
\(220\) −1.10015 + 0.310559i −0.0741721 + 0.0209379i
\(221\) 19.3270 + 9.13389i 1.30007 + 0.614412i
\(222\) −18.9190 + 28.1434i −1.26976 + 1.88886i
\(223\) 16.2061 21.9201i 1.08524 1.46788i 0.214124 0.976806i \(-0.431310\pi\)
0.871120 0.491071i \(-0.163394\pi\)
\(224\) −3.09502 + 6.08876i −0.206795 + 0.406822i
\(225\) −18.5015 + 25.7065i −1.23344 + 1.71377i
\(226\) −0.712089 + 0.723571i −0.0473674 + 0.0481312i
\(227\) −5.85798 9.90097i −0.388808 0.657151i 0.601050 0.799212i \(-0.294749\pi\)
−0.989858 + 0.142061i \(0.954627\pi\)
\(228\) 5.92027 24.1988i 0.392080 1.60261i
\(229\) −0.489505 + 2.24864i −0.0323474 + 0.148595i −0.990461 0.137794i \(-0.955999\pi\)
0.958113 + 0.286389i \(0.0924549\pi\)
\(230\) −11.1622 + 10.7761i −0.736011 + 0.710555i
\(231\) 2.43622 1.55966i 0.160291 0.102618i
\(232\) −0.0195860 + 6.12217i −0.00128588 + 0.401940i
\(233\) −7.69155 + 4.71847i −0.503890 + 0.309117i −0.751489 0.659746i \(-0.770664\pi\)
0.247599 + 0.968863i \(0.420359\pi\)
\(234\) 63.9356 + 46.9539i 4.17960 + 3.06947i
\(235\) −3.34055 1.01262i −0.217914 0.0660558i
\(236\) −1.36420 1.20379i −0.0888021 0.0783603i
\(237\) 3.56098 + 1.35953i 0.231311 + 0.0883111i
\(238\) 7.32727 + 2.53201i 0.474956 + 0.164126i
\(239\) 18.8692 + 23.2660i 1.22055 + 1.50495i 0.802644 + 0.596458i \(0.203426\pi\)
0.417901 + 0.908492i \(0.362766\pi\)
\(240\) 11.8683 + 12.6937i 0.766098 + 0.819377i
\(241\) 18.5770 + 0.118864i 1.19665 + 0.00765671i 0.603452 0.797399i \(-0.293791\pi\)
0.593199 + 0.805056i \(0.297865\pi\)
\(242\) 8.20754 16.9440i 0.527601 1.08920i
\(243\) −49.6852 + 32.7122i −3.18731 + 2.09849i
\(244\) −0.861026 3.83702i −0.0551216 0.245640i
\(245\) −6.18045 + 0.835473i −0.394855 + 0.0533764i
\(246\) −8.55757 + 6.45479i −0.545611 + 0.411543i
\(247\) −1.82690 30.0184i −0.116243 1.91002i
\(248\) −7.91686 3.13920i −0.502721 0.199339i
\(249\) 37.6397 + 8.06772i 2.38532 + 0.511271i
\(250\) 8.35627 14.9858i 0.528497 0.947785i
\(251\) −0.832262 + 2.77755i −0.0525319 + 0.175318i −0.980168 0.198167i \(-0.936501\pi\)
0.927636 + 0.373485i \(0.121837\pi\)
\(252\) 9.89690 + 5.72806i 0.623446 + 0.360834i
\(253\) 0.272343 + 6.54461i 0.0171220 + 0.411456i
\(254\) 20.1411 1.41992i 1.26377 0.0890936i
\(255\) 8.97167 11.0622i 0.561828 0.692741i
\(256\) −17.7575 + 11.0505i −1.10984 + 0.690659i
\(257\) −11.7496 + 8.17439i −0.732922 + 0.509904i −0.877493 0.479590i \(-0.840785\pi\)
0.144571 + 0.989494i \(0.453820\pi\)
\(258\) 8.87122 + 1.84217i 0.552298 + 0.114689i
\(259\) −1.07016 + 5.80342i −0.0664965 + 0.360607i
\(260\) −6.47751 3.69388i −0.401718 0.229085i
\(261\) 40.3049 + 2.32353i 2.49481 + 0.143823i
\(262\) −7.66516 + 7.49540i −0.473555 + 0.463067i
\(263\) 3.22192 + 13.1694i 0.198672 + 0.812061i 0.981756 + 0.190145i \(0.0608960\pi\)
−0.783084 + 0.621916i \(0.786355\pi\)
\(264\) 3.38270 0.0865938i 0.208191 0.00532948i
\(265\) −2.28624 14.4647i −0.140443 0.888560i
\(266\) −1.84043 10.7502i −0.112844 0.659135i
\(267\) 7.14949 + 13.8450i 0.437542 + 0.847301i
\(268\) −7.45055 + 0.477364i −0.455115 + 0.0291597i
\(269\) 17.0394 + 19.1858i 1.03891 + 1.16978i 0.985232 + 0.171223i \(0.0547719\pi\)
0.0536755 + 0.998558i \(0.482906\pi\)
\(270\) 25.6476 21.4898i 1.56086 1.30783i
\(271\) 0.953689 0.0183084i 0.0579325 0.00111215i 0.00978042 0.999952i \(-0.496887\pi\)
0.0481521 + 0.998840i \(0.484667\pi\)
\(272\) 12.5797 + 15.1115i 0.762755 + 0.916268i
\(273\) 18.3979 + 4.19036i 1.11349 + 0.253612i
\(274\) 30.5834 5.94369i 1.84761 0.359071i
\(275\) −1.04237 2.98549i −0.0628575 0.180032i
\(276\) −30.7463 + 17.5335i −1.85071 + 1.05539i
\(277\) −13.2350 + 6.56849i −0.795213 + 0.394662i −0.795969 0.605337i \(-0.793038\pi\)
0.000756444 1.00000i \(0.499759\pi\)
\(278\) 16.1330 + 16.8183i 0.967590 + 1.00869i
\(279\) −23.5082 + 51.0039i −1.40740 + 3.05352i
\(280\) 1.27945 + 0.555320i 0.0764617 + 0.0331867i
\(281\) 2.59453 + 5.72523i 0.154777 + 0.341539i 0.972073 0.234679i \(-0.0754038\pi\)
−0.817296 + 0.576218i \(0.804528\pi\)
\(282\) −17.1431 10.3662i −1.02085 0.617299i
\(283\) −23.2242 18.4687i −1.38054 1.09785i −0.983672 0.179970i \(-0.942400\pi\)
−0.396864 0.917877i \(-0.629902\pi\)
\(284\) 7.56816 0.290685i 0.449088 0.0172490i
\(285\) −19.7172 3.57070i −1.16795 0.211510i
\(286\) −7.50204 + 2.53879i −0.443605 + 0.150122i
\(287\) −0.918845 + 1.62331i −0.0542377 + 0.0958211i
\(288\) 25.3648 + 46.1803i 1.49463 + 2.72120i
\(289\) −0.595853 + 0.653866i −0.0350502 + 0.0384627i
\(290\) −9.53164 + 0.549489i −0.559717 + 0.0322671i
\(291\) 14.5512 + 7.22172i 0.853005 + 0.423344i
\(292\) 1.05763 + 3.37212i 0.0618930 + 0.197339i
\(293\) −27.4086 + 7.17207i −1.60123 + 0.418997i −0.942722 0.333580i \(-0.891743\pi\)
−0.658504 + 0.752577i \(0.728810\pi\)
\(294\) −35.5563 4.11323i −2.07368 0.239889i
\(295\) −0.899806 + 1.15406i −0.0523887 + 0.0671922i
\(296\) −4.58400 + 5.16145i −0.266439 + 0.300003i
\(297\) 0.406686 14.1208i 0.0235983 0.819370i
\(298\) 28.9926 + 2.04393i 1.67949 + 0.118402i
\(299\) −29.1811 + 31.2105i −1.68759 + 1.80495i
\(300\) 11.7494 12.4065i 0.678354 0.716288i
\(301\) 1.54377 0.320576i 0.0889816 0.0184777i
\(302\) −0.0798690 3.56590i −0.00459595 0.205195i
\(303\) −24.0095 52.0916i −1.37931 2.99258i
\(304\) 10.1139 25.7468i 0.580074 1.47668i
\(305\) −3.03846 + 0.878751i −0.173982 + 0.0503172i
\(306\) 47.9722 35.7051i 2.74239 2.04113i
\(307\) 5.92973 5.87309i 0.338427 0.335195i −0.514243 0.857645i \(-0.671927\pi\)
0.852670 + 0.522450i \(0.174982\pi\)
\(308\) −1.03533 + 0.481215i −0.0589933 + 0.0274197i
\(309\) 10.8042 + 13.1489i 0.614631 + 0.748015i
\(310\) 4.13649 12.6208i 0.234937 0.716813i
\(311\) −15.0126 + 10.0224i −0.851289 + 0.568321i −0.902658 0.430359i \(-0.858387\pi\)
0.0513691 + 0.998680i \(0.483642\pi\)
\(312\) 15.8799 + 15.3307i 0.899022 + 0.867928i
\(313\) 33.6796 + 6.76933i 1.90368 + 0.382625i 0.999051 0.0435650i \(-0.0138716\pi\)
0.904634 + 0.426190i \(0.140144\pi\)
\(314\) −31.6023 + 14.1997i −1.78342 + 0.801334i
\(315\) 4.11518 8.22557i 0.231864 0.463459i
\(316\) −1.32091 0.720025i −0.0743070 0.0405046i
\(317\) 5.03437 2.53882i 0.282758 0.142594i −0.303221 0.952920i \(-0.598062\pi\)
0.585980 + 0.810326i \(0.300710\pi\)
\(318\) 7.78630 83.6848i 0.436634 4.69281i
\(319\) −2.49874 + 3.16287i −0.139903 + 0.177087i
\(320\) −1.19484 1.68274i −0.0667934 0.0940681i
\(321\) −15.8081 + 18.0306i −0.882324 + 1.00637i
\(322\) −9.29151 + 12.4007i −0.517795 + 0.691065i
\(323\) −22.0397 5.31737i −1.22632 0.295867i
\(324\) 39.6315 19.0409i 2.20175 1.05783i
\(325\) 9.11088 18.5061i 0.505381 1.02653i
\(326\) 1.43672 19.4904i 0.0795726 1.07947i
\(327\) 8.20306 + 42.9423i 0.453630 + 2.37471i
\(328\) −1.90234 + 1.06876i −0.105039 + 0.0590125i
\(329\) −3.45482 0.467023i −0.190471 0.0257478i
\(330\) 0.455248 + 5.25732i 0.0250606 + 0.289406i
\(331\) 5.51880 + 2.31186i 0.303341 + 0.127071i 0.532786 0.846250i \(-0.321145\pi\)
−0.229445 + 0.973322i \(0.573691\pi\)
\(332\) −14.2953 5.14559i −0.784556 0.282401i
\(333\) 32.3428 + 32.0339i 1.77237 + 1.75545i
\(334\) 42.0684 + 5.96113i 2.30188 + 0.326179i
\(335\) 0.747289 + 5.95832i 0.0408288 + 0.325538i
\(336\) 13.7213 + 10.6279i 0.748558 + 0.579797i
\(337\) −10.3592 + 16.5285i −0.564301 + 0.900363i 0.435699 + 0.900093i \(0.356501\pi\)
−1.00000 0.000269884i \(0.999914\pi\)
\(338\) −24.9802 12.5975i −1.35874 0.685211i
\(339\) 1.05894 + 1.53253i 0.0575139 + 0.0832356i
\(340\) −4.09393 + 3.85235i −0.222025 + 0.208923i
\(341\) −2.82430 4.84400i −0.152944 0.262317i
\(342\) −76.5190 34.9720i −4.13768 1.89107i
\(343\) −13.0615 + 3.95931i −0.705254 + 0.213783i
\(344\) 1.73936 + 0.613539i 0.0937798 + 0.0330798i
\(345\) 15.5790 + 23.8279i 0.838745 + 1.28285i
\(346\) −5.94462 + 42.9403i −0.319585 + 2.30849i
\(347\) 3.78926 + 1.67355i 0.203418 + 0.0898407i 0.503211 0.864164i \(-0.332152\pi\)
−0.299793 + 0.954004i \(0.596918\pi\)
\(348\) −21.3805 4.15516i −1.14611 0.222740i
\(349\) −2.34204 16.1558i −0.125367 0.864800i −0.952879 0.303352i \(-0.901894\pi\)
0.827512 0.561448i \(-0.189756\pi\)
\(350\) 2.55604 7.03043i 0.136626 0.375792i
\(351\) 67.5111 62.7178i 3.60348 3.34763i
\(352\) −5.22937 0.571064i −0.278727 0.0304378i
\(353\) −14.3262 14.3721i −0.762505 0.764948i 0.214829 0.976652i \(-0.431080\pi\)
−0.977334 + 0.211704i \(0.932099\pi\)
\(354\) −6.63988 + 5.14294i −0.352906 + 0.273344i
\(355\) −0.603161 6.06187i −0.0320125 0.321730i
\(356\) −2.06433 5.79314i −0.109409 0.307036i
\(357\) 7.08620 12.3343i 0.375042 0.652803i
\(358\) −10.4299 + 10.7346i −0.551236 + 0.567340i
\(359\) 4.07811 2.12247i 0.215235 0.112020i −0.350642 0.936509i \(-0.614037\pi\)
0.565877 + 0.824490i \(0.308538\pi\)
\(360\) 9.09817 5.74289i 0.479516 0.302677i
\(361\) 3.38432 + 12.4445i 0.178122 + 0.654972i
\(362\) 35.1096 4.97506i 1.84532 0.261483i
\(363\) −27.7127 20.6263i −1.45454 1.08260i
\(364\) −6.97434 2.61170i −0.365555 0.136890i
\(365\) 2.65562 1.01388i 0.139002 0.0530688i
\(366\) −18.1437 + 0.580646i −0.948385 + 0.0303509i
\(367\) −2.33071 20.7282i −0.121662 1.08200i −0.894397 0.447273i \(-0.852395\pi\)
0.772736 0.634728i \(-0.218888\pi\)
\(368\) −36.4402 + 14.7198i −1.89957 + 0.767321i
\(369\) 6.35543 + 12.9092i 0.330851 + 0.672027i
\(370\) −8.46859 6.64650i −0.440261 0.345535i
\(371\) −4.55519 13.8983i −0.236494 0.721564i
\(372\) 16.2544 25.5695i 0.842754 1.32572i
\(373\) 0.147129 3.53561i 0.00761803 0.183067i −0.991125 0.132936i \(-0.957560\pi\)
0.998743 0.0501311i \(-0.0159639\pi\)
\(374\) 0.171888 + 5.96822i 0.00888812 + 0.308609i
\(375\) −24.1322 20.2201i −1.24618 1.04416i
\(376\) −3.17559 2.55867i −0.163768 0.131953i
\(377\) −26.1377 + 2.85431i −1.34616 + 0.147005i
\(378\) 21.8696 25.2686i 1.12485 1.29968i
\(379\) −3.31423 1.02784i −0.170241 0.0527964i 0.209912 0.977720i \(-0.432682\pi\)
−0.380152 + 0.924924i \(0.624128\pi\)
\(380\) 7.52311 + 2.43909i 0.385927 + 0.125122i
\(381\) 4.37523 36.7897i 0.224150 1.88479i
\(382\) −9.08035 + 8.65473i −0.464591 + 0.442815i
\(383\) 1.05432 + 1.97915i 0.0538732 + 0.101130i 0.908067 0.418825i \(-0.137558\pi\)
−0.854194 + 0.519955i \(0.825949\pi\)
\(384\) 11.2362 + 29.1505i 0.573396 + 1.48758i
\(385\) 0.436928 + 0.807698i 0.0222679 + 0.0411641i
\(386\) −29.7572 + 15.7301i −1.51460 + 0.800639i
\(387\) 4.66339 11.2330i 0.237053 0.571005i
\(388\) −5.30950 3.59395i −0.269549 0.182455i
\(389\) 22.4960 + 8.26040i 1.14059 + 0.418819i 0.844084 0.536211i \(-0.180145\pi\)
0.296509 + 0.955030i \(0.404178\pi\)
\(390\) −22.3594 + 26.1710i −1.13221 + 1.32522i
\(391\) 16.0461 + 27.9301i 0.811487 + 1.41249i
\(392\) −7.06060 1.79938i −0.356614 0.0908823i
\(393\) 10.8701 + 16.3957i 0.548323 + 0.827052i
\(394\) 0.148493 2.43993i 0.00748095 0.122922i
\(395\) −0.513529 + 1.09567i −0.0258384 + 0.0551291i
\(396\) −1.43055 + 8.68997i −0.0718881 + 0.436687i
\(397\) 1.94251 28.8703i 0.0974916 1.44896i −0.637274 0.770637i \(-0.719938\pi\)
0.734766 0.678321i \(-0.237292\pi\)
\(398\) −4.68472 5.85247i −0.234824 0.293358i
\(399\) −20.0089 0.384119i −1.00170 0.0192300i
\(400\) 14.7741 11.9039i 0.738703 0.595196i
\(401\) 4.39696 4.41105i 0.219574 0.220277i −0.589834 0.807525i \(-0.700807\pi\)
0.809407 + 0.587247i \(0.199788\pi\)
\(402\) −4.28883 + 34.1959i −0.213907 + 1.70554i
\(403\) 9.59836 35.2941i 0.478128 1.75812i
\(404\) 6.63652 + 21.6438i 0.330179 + 1.07682i
\(405\) −17.2233 30.8876i −0.855835 1.53482i
\(406\) −9.31065 + 2.05805i −0.462080 + 0.102139i
\(407\) −4.47225 + 0.809905i −0.221681 + 0.0401455i
\(408\) 14.5592 8.05743i 0.720786 0.398902i
\(409\) −6.26840 6.96773i −0.309952 0.344532i 0.568220 0.822877i \(-0.307632\pi\)
−0.878172 + 0.478344i \(0.841237\pi\)
\(410\) −1.84385 2.85994i −0.0910615 0.141242i
\(411\) −0.182890 57.1675i −0.00902128 2.81986i
\(412\) −3.53060 5.71411i −0.173940 0.281514i
\(413\) −0.703611 + 1.28103i −0.0346224 + 0.0630353i
\(414\) 38.6782 + 113.100i 1.90093 + 5.55854i
\(415\) −3.43264 + 11.7283i −0.168502 + 0.575722i
\(416\) −21.2716 26.9253i −1.04293 1.32012i
\(417\) 35.8663 23.2864i 1.75638 1.14034i
\(418\) 7.24301 4.25415i 0.354267 0.208078i
\(419\) −6.40157 + 5.43389i −0.312737 + 0.265463i −0.789744 0.613436i \(-0.789787\pi\)
0.477007 + 0.878899i \(0.341722\pi\)
\(420\) −2.79460 + 4.10027i −0.136362 + 0.200073i
\(421\) 2.35521 0.241957i 0.114786 0.0117923i −0.0446319 0.999004i \(-0.514211\pi\)
0.159418 + 0.987211i \(0.449038\pi\)
\(422\) 49.9242 + 8.05463i 2.43027 + 0.392093i
\(423\) −17.9861 + 19.9927i −0.874513 + 0.972078i
\(424\) 3.85281 16.6694i 0.187109 0.809538i
\(425\) −11.3249 10.6566i −0.549338 0.516922i
\(426\) 5.23714 34.5675i 0.253740 1.67480i
\(427\) −2.85609 + 1.34978i −0.138216 + 0.0653206i
\(428\) 7.13628 6.21640i 0.344945 0.300481i
\(429\) 1.99285 + 14.3952i 0.0962158 + 0.695005i
\(430\) −0.790260 + 2.76561i −0.0381097 + 0.133370i
\(431\) 3.72030 + 18.8212i 0.179200 + 0.906584i 0.959614 + 0.281321i \(0.0907724\pi\)
−0.780413 + 0.625264i \(0.784991\pi\)
\(432\) 80.6265 26.1401i 3.87914 1.25767i
\(433\) −8.55035 + 0.109422i −0.410903 + 0.00525850i −0.217975 0.975954i \(-0.569945\pi\)
−0.192928 + 0.981213i \(0.561799\pi\)
\(434\) 2.07085 13.1019i 0.0994039 0.628913i
\(435\) −2.29129 + 17.3683i −0.109859 + 0.832745i
\(436\) −0.937970 17.2295i −0.0449206 0.825144i
\(437\) 23.5728 38.7032i 1.12764 1.85142i
\(438\) 16.2060 1.87475i 0.774354 0.0895791i
\(439\) −16.4571 + 6.40402i −0.785453 + 0.305647i −0.721598 0.692312i \(-0.756592\pi\)
−0.0638552 + 0.997959i \(0.520340\pi\)
\(440\) −0.0515291 + 1.07297i −0.00245655 + 0.0511520i
\(441\) −14.3791 + 45.8461i −0.684719 + 2.18315i
\(442\) −26.9610 + 28.1063i −1.28241 + 1.33688i
\(443\) −13.1109 33.3762i −0.622920 1.58575i −0.798970 0.601372i \(-0.794621\pi\)
0.176050 0.984381i \(-0.443668\pi\)
\(444\) −14.9764 19.4639i −0.710751 0.923716i
\(445\) −4.55014 + 1.94040i −0.215697 + 0.0919837i
\(446\) 28.4949 + 40.6796i 1.34927 + 1.92623i
\(447\) 13.6657 51.5502i 0.646363 2.43824i
\(448\) −1.44578 1.46909i −0.0683065 0.0694079i
\(449\) 31.3995 4.85999i 1.48184 0.229357i 0.639701 0.768624i \(-0.279058\pi\)
0.842135 + 0.539267i \(0.181299\pi\)
\(450\) −33.7087 46.8357i −1.58904 2.20786i
\(451\) −1.41971 0.219742i −0.0668517 0.0103472i
\(452\) −0.333151 0.655400i −0.0156701 0.0308274i
\(453\) −6.45440 1.08375i −0.303254 0.0509191i
\(454\) 20.4944 4.39277i 0.961848 0.206163i
\(455\) −1.75602 + 5.72693i −0.0823235 + 0.268483i
\(456\) −19.7964 12.4957i −0.927050 0.585167i
\(457\) 30.5866 + 2.55003i 1.43078 + 0.119286i 0.773230 0.634125i \(-0.218640\pi\)
0.657550 + 0.753411i \(0.271593\pi\)
\(458\) −3.60170 2.14656i −0.168296 0.100302i
\(459\) −30.2842 62.5199i −1.41354 2.91818i
\(460\) −4.83350 10.1434i −0.225363 0.472938i
\(461\) −0.0647724 + 0.161839i −0.00301675 + 0.00753760i −0.929905 0.367801i \(-0.880111\pi\)
0.926888 + 0.375338i \(0.122473\pi\)
\(462\) 1.28518 + 5.11122i 0.0597921 + 0.237795i
\(463\) −2.74841 + 2.45670i −0.127730 + 0.114172i −0.727847 0.685739i \(-0.759479\pi\)
0.600117 + 0.799912i \(0.295120\pi\)
\(464\) −22.9082 7.75245i −1.06349 0.359899i
\(465\) −21.3226 11.8005i −0.988811 0.547234i
\(466\) −3.70225 16.0180i −0.171503 0.742021i
\(467\) −6.42208 + 11.0146i −0.297178 + 0.509694i −0.974028 0.226427i \(-0.927296\pi\)
0.676850 + 0.736121i \(0.263345\pi\)
\(468\) −46.9468 + 33.1094i −2.17012 + 1.53048i
\(469\) 1.68464 + 5.75594i 0.0777896 + 0.265785i
\(470\) 3.68199 5.18552i 0.169838 0.239190i
\(471\) 14.7120 + 61.8463i 0.677895 + 2.84973i
\(472\) −1.47971 + 0.856417i −0.0681092 + 0.0394198i
\(473\) 0.651461 + 1.02480i 0.0299542 + 0.0471203i
\(474\) −4.40886 + 5.36565i −0.202506 + 0.246452i
\(475\) −5.47049 + 21.1823i −0.251003 + 0.971912i
\(476\) −3.42374 + 4.44961i −0.156927 + 0.203948i
\(477\) −108.380 31.3445i −4.96238 1.43516i
\(478\) −51.1115 + 19.1399i −2.33779 + 0.875437i
\(479\) 29.8200 26.3136i 1.36251 1.20230i 0.404853 0.914382i \(-0.367323\pi\)
0.957656 0.287916i \(-0.0929623\pi\)
\(480\) −20.7942 + 9.50370i −0.949121 + 0.433783i
\(481\) −24.2279 17.0868i −1.10470 0.779089i
\(482\) −10.9523 + 32.0259i −0.498865 + 1.45874i
\(483\) 19.1511 + 21.0157i 0.871406 + 0.956248i
\(484\) 9.74860 + 9.53269i 0.443118 + 0.433304i
\(485\) −2.62596 + 4.43832i −0.119239 + 0.201534i
\(486\) −27.7721 104.763i −1.25977 4.75215i
\(487\) 2.97104 3.52291i 0.134631 0.159638i −0.692949 0.720987i \(-0.743689\pi\)
0.827579 + 0.561349i \(0.189717\pi\)
\(488\) −3.67596 0.377642i −0.166403 0.0170950i
\(489\) −34.6334 9.29977i −1.56617 0.420550i
\(490\) 2.13204 11.1610i 0.0963157 0.504203i
\(491\) 8.43156 + 25.1799i 0.380511 + 1.13635i 0.949435 + 0.313964i \(0.101657\pi\)
−0.568924 + 0.822390i \(0.692640\pi\)
\(492\) −2.46486 7.36104i −0.111125 0.331861i
\(493\) −3.71921 + 19.4697i −0.167505 + 0.876871i
\(494\) 52.9183 + 14.2097i 2.38091 + 0.639323i
\(495\) 7.04661 + 0.723918i 0.316721 + 0.0325377i
\(496\) 21.6892 25.7179i 0.973872 1.15477i
\(497\) −1.55901 5.88096i −0.0699310 0.263797i
\(498\) −35.7131 + 60.3612i −1.60034 + 2.70485i
\(499\) 10.8266 + 10.5868i 0.484663 + 0.473929i 0.900094 0.435695i \(-0.143498\pi\)
−0.415431 + 0.909625i \(0.636369\pi\)
\(500\) 8.36964 + 9.18453i 0.374302 + 0.410745i
\(501\) 25.2276 73.7684i 1.12708 3.29573i
\(502\) −4.31718 3.04470i −0.192685 0.135892i
\(503\) −11.9242 + 5.44980i −0.531675 + 0.242995i −0.663365 0.748296i \(-0.730872\pi\)
0.131690 + 0.991291i \(0.457960\pi\)
\(504\) 8.05711 7.10971i 0.358892 0.316692i
\(505\) 17.0524 6.38564i 0.758820 0.284157i
\(506\) −11.4644 3.31560i −0.509653 0.147396i
\(507\) −31.3051 + 40.6851i −1.39031 + 1.80689i
\(508\) −3.65642 + 14.1581i −0.162227 + 0.628162i
\(509\) 4.80101 5.84290i 0.212801 0.258982i −0.655301 0.755368i \(-0.727458\pi\)
0.868102 + 0.496386i \(0.165340\pi\)
\(510\) 13.9215 + 21.8995i 0.616452 + 0.969727i
\(511\) 2.45712 1.42212i 0.108697 0.0629107i
\(512\) −4.49337 18.8892i −0.198581 0.834791i
\(513\) −56.5823 + 79.6874i −2.49817 + 3.51828i
\(514\) −7.32525 25.0283i −0.323103 1.10395i
\(515\) −4.41505 + 3.11372i −0.194550 + 0.137207i
\(516\) −3.30504 + 5.66852i −0.145496 + 0.249543i
\(517\) −0.604647 2.61604i −0.0265923 0.115053i
\(518\) −9.40721 5.20620i −0.413329 0.228747i
\(519\) 75.3456 + 25.4980i 3.30730 + 1.11924i
\(520\) −5.22424 + 4.66974i −0.229098 + 0.204782i
\(521\) −2.89409 11.5099i −0.126792 0.504259i −0.999861 0.0166614i \(-0.994696\pi\)
0.873069 0.487597i \(-0.162127\pi\)
\(522\) −27.3310 + 68.2887i −1.19625 + 2.98892i
\(523\) −13.5441 28.4230i −0.592241 1.24285i −0.950933 0.309396i \(-0.899873\pi\)
0.358692 0.933456i \(-0.383223\pi\)
\(524\) −3.38469 6.98749i −0.147861 0.305250i
\(525\) −11.7911 7.02730i −0.514605 0.306697i
\(526\) −24.6161 2.05227i −1.07331 0.0894832i
\(527\) −23.3172 14.7181i −1.01571 0.641132i
\(528\) −3.91858 + 12.7797i −0.170534 + 0.556166i
\(529\) −40.4647 + 8.67323i −1.75933 + 0.377097i
\(530\) 26.3126 + 4.41813i 1.14295 + 0.191911i
\(531\) 5.10872 + 10.0503i 0.221700 + 0.436144i
\(532\) 7.80568 + 1.20816i 0.338419 + 0.0523802i
\(533\) −5.47417 7.60595i −0.237113 0.329450i
\(534\) −28.0554 + 4.34239i −1.21408 + 0.187914i
\(535\) −5.33950 5.42560i −0.230847 0.234569i
\(536\) −1.79771 + 6.78139i −0.0776490 + 0.292912i
\(537\) 15.7563 + 22.4938i 0.679933 + 0.970678i
\(538\) −43.0039 + 18.3389i −1.85403 + 0.790648i
\(539\) −2.92544 3.80201i −0.126008 0.163764i
\(540\) 8.85998 + 22.5546i 0.381273 + 0.970597i
\(541\) −11.4654 + 11.9525i −0.492938 + 0.513877i −0.920836 0.389950i \(-0.872492\pi\)
0.427899 + 0.903827i \(0.359254\pi\)
\(542\) −0.520087 + 1.65824i −0.0223397 + 0.0712274i
\(543\) 3.12119 64.9916i 0.133943 2.78906i
\(544\) −24.1077 + 9.38112i −1.03361 + 0.402212i
\(545\) −13.7868 + 1.59489i −0.590563 + 0.0683177i
\(546\) −17.8829 + 29.3611i −0.765315 + 1.25654i
\(547\) −0.925698 17.0041i −0.0395800 0.727042i −0.949789 0.312892i \(-0.898702\pi\)
0.910209 0.414150i \(-0.135921\pi\)
\(548\) −2.95105 + 22.3693i −0.126062 + 0.955570i
\(549\) −3.80430 + 24.0693i −0.162364 + 1.02725i
\(550\) 5.76092 0.0737249i 0.245647 0.00314364i
\(551\) 26.5271 8.60041i 1.13009 0.366390i
\(552\) 6.44957 + 32.6287i 0.274512 + 1.38877i
\(553\) −0.332037 + 1.16200i −0.0141197 + 0.0494134i
\(554\) −3.69153 26.6654i −0.156838 1.13290i
\(555\) −14.8948 + 12.9748i −0.632248 + 0.550750i
\(556\) −15.2594 + 7.21158i −0.647144 + 0.305839i
\(557\) 4.88133 32.2189i 0.206828 1.36516i −0.611880 0.790951i \(-0.709586\pi\)
0.818708 0.574210i \(-0.194691\pi\)
\(558\) −74.5175 70.1202i −3.15458 2.96843i
\(559\) −1.78379 + 7.71766i −0.0754461 + 0.326422i
\(560\) −3.68497 + 4.09609i −0.155719 + 0.173091i
\(561\) 10.8158 + 1.74500i 0.456645 + 0.0736738i
\(562\) −11.3922 + 1.17035i −0.480550 + 0.0493683i
\(563\) 8.63615 12.6711i 0.363970 0.534021i −0.600011 0.799992i \(-0.704837\pi\)
0.963981 + 0.265971i \(0.0856924\pi\)
\(564\) 11.0609 9.38891i 0.465748 0.395344i
\(565\) −0.509908 + 0.299493i −0.0214520 + 0.0125998i
\(566\) 45.3429 29.4391i 1.90590 1.23742i
\(567\) −21.8955 27.7149i −0.919523 1.16392i
\(568\) 1.99914 6.83049i 0.0838821 0.286601i
\(569\) −10.8627 31.7637i −0.455387 1.33160i −0.900003 0.435884i \(-0.856436\pi\)
0.444616 0.895721i \(-0.353340\pi\)
\(570\) 17.5755 31.9988i 0.736157 1.34028i
\(571\) −14.2919 23.1308i −0.598097 0.967993i −0.998661 0.0517248i \(-0.983528\pi\)
0.400565 0.916269i \(-0.368814\pi\)
\(572\) −0.0183495 5.73568i −0.000767232 0.239821i
\(573\) 12.4723 + 19.3454i 0.521040 + 0.808167i
\(574\) −2.27296 2.52655i −0.0948716 0.105456i
\(575\) 27.1952 15.0506i 1.13412 0.627652i
\(576\) −15.6453 + 2.83329i −0.651887 + 0.118054i
\(577\) 31.0363 6.86033i 1.29206 0.285599i 0.484190 0.874963i \(-0.339114\pi\)
0.807868 + 0.589363i \(0.200621\pi\)
\(578\) −0.784949 1.40770i −0.0326496 0.0585524i
\(579\) 18.1055 + 59.0478i 0.752440 + 2.45394i
\(580\) 1.81448 6.67202i 0.0753422 0.277041i
\(581\) −1.51883 + 12.1100i −0.0630118 + 0.502409i
\(582\) −20.8946 + 20.9616i −0.866110 + 0.868885i
\(583\) 8.77141 7.06740i 0.363275 0.292702i
\(584\) 3.32037 + 0.0637425i 0.137398 + 0.00263769i
\(585\) 28.8756 + 36.0734i 1.19386 + 1.49145i
\(586\) 3.46524 51.5016i 0.143148 2.12751i
\(587\) −0.540176 + 3.28132i −0.0222954 + 0.135435i −0.995541 0.0943348i \(-0.969928\pi\)
0.973245 + 0.229769i \(0.0737972\pi\)
\(588\) 11.0010 23.4717i 0.453672 0.967957i
\(589\) −2.35653 + 38.7209i −0.0970990 + 1.59547i
\(590\) −1.47328 2.22219i −0.0606539 0.0914861i
\(591\) −4.34642 1.10767i −0.178788 0.0455636i
\(592\) −13.5843 23.6450i −0.558312 0.971805i
\(593\) −8.41014 + 9.84381i −0.345363 + 0.404237i −0.905626 0.424078i \(-0.860598\pi\)
0.560263 + 0.828315i \(0.310700\pi\)
\(594\) 24.1605 + 8.87161i 0.991319 + 0.364006i
\(595\) 3.73964 + 2.53133i 0.153310 + 0.103774i
\(596\) −8.07056 + 19.4401i −0.330583 + 0.796296i
\(597\) −12.1609 + 6.42842i −0.497714 + 0.263098i
\(598\) −37.0395 68.4705i −1.51466 2.79997i
\(599\) −1.72441 4.47368i −0.0704573 0.182790i 0.893367 0.449327i \(-0.148336\pi\)
−0.963825 + 0.266537i \(0.914120\pi\)
\(600\) −7.54927 14.1714i −0.308198 0.578544i
\(601\) −4.67136 + 4.45240i −0.190549 + 0.181617i −0.779211 0.626762i \(-0.784380\pi\)
0.588662 + 0.808379i \(0.299655\pi\)
\(602\) −0.339243 + 2.85256i −0.0138265 + 0.116262i
\(603\) 44.0082 + 14.2680i 1.79215 + 0.581038i
\(604\) 2.46718 + 0.765142i 0.100388 + 0.0311332i
\(605\) 7.17697 8.29240i 0.291785 0.337134i
\(606\) 103.886 11.3447i 4.22008 0.460845i
\(607\) 31.2558 + 25.1838i 1.26864 + 1.02218i 0.998232 + 0.0594316i \(0.0189288\pi\)
0.270403 + 0.962747i \(0.412843\pi\)
\(608\) 27.8957 + 23.3735i 1.13132 + 0.947920i
\(609\) 0.503703 + 17.4894i 0.0204111 + 0.708704i
\(610\) 0.239600 5.75778i 0.00970114 0.233126i
\(611\) 9.39601 14.7806i 0.380122 0.597961i
\(612\) 13.4884 + 41.1545i 0.545238 + 1.66357i
\(613\) −0.711524 0.558433i −0.0287382 0.0225549i 0.602925 0.797798i \(-0.294002\pi\)
−0.631663 + 0.775243i \(0.717627\pi\)
\(614\) 6.71627 + 13.6422i 0.271046 + 0.550552i
\(615\) −5.78935 + 2.33857i −0.233449 + 0.0943003i
\(616\) 0.119878 + 1.06613i 0.00483001 + 0.0429558i
\(617\) 5.00966 0.160323i 0.201681 0.00645434i 0.0690175 0.997615i \(-0.478014\pi\)
0.132664 + 0.991161i \(0.457647\pi\)
\(618\) −28.9671 + 11.0592i −1.16523 + 0.444867i
\(619\) 14.1168 + 5.28635i 0.567402 + 0.212476i 0.617912 0.786247i \(-0.287979\pi\)
−0.0505102 + 0.998724i \(0.516085\pi\)
\(620\) 7.71589 + 5.74284i 0.309877 + 0.230638i
\(621\) 137.480 19.4810i 5.51687 0.781746i
\(622\) −8.63037 31.7347i −0.346046 1.27245i
\(623\) −4.17770 + 2.63702i −0.167376 + 0.105650i
\(624\) −77.3447 + 40.2544i −3.09627 + 1.61146i
\(625\) −6.53210 + 6.72293i −0.261284 + 0.268917i
\(626\) −31.1790 + 54.2706i −1.24616 + 2.16909i
\(627\) −5.17366 14.5189i −0.206616 0.579828i
\(628\) −2.48429 24.9675i −0.0991340 0.996312i
\(629\) −17.6698 + 13.6862i −0.704541 + 0.545704i
\(630\) 11.8303 + 11.8682i 0.471330 + 0.472840i
\(631\) 9.07831 + 0.991379i 0.361402 + 0.0394662i 0.287450 0.957796i \(-0.407193\pi\)
0.0739517 + 0.997262i \(0.476439\pi\)
\(632\) −1.03572 + 0.962184i −0.0411988 + 0.0382736i
\(633\) 31.7054 87.2063i 1.26018 3.46614i
\(634\) 1.47378 + 10.1664i 0.0585312 + 0.403758i
\(635\) 11.5454 + 2.24377i 0.458165 + 0.0890414i
\(636\) 55.6784 + 24.5907i 2.20779 + 0.975083i
\(637\) 4.29117 30.9968i 0.170022 1.22814i
\(638\) −4.01880 6.14671i −0.159106 0.243351i
\(639\) −44.2593 15.6120i −1.75087 0.617600i
\(640\) −9.49119 + 2.87705i −0.375172 + 0.113725i
\(641\) −13.5571 6.19607i −0.535472 0.244730i 0.129525 0.991576i \(-0.458655\pi\)
−0.664997 + 0.746846i \(0.731567\pi\)
\(642\) −22.0055 37.7419i −0.868486 1.48955i
\(643\) −8.02496 + 7.55142i −0.316474 + 0.297799i −0.827158 0.561969i \(-0.810044\pi\)
0.510684 + 0.859768i \(0.329392\pi\)
\(644\) −6.37934 9.23235i −0.251381 0.363805i
\(645\) 4.71244 + 2.37647i 0.185552 + 0.0935735i
\(646\) 21.9367 35.0008i 0.863090 1.37709i
\(647\) −16.1022 12.4720i −0.633042 0.490325i 0.244611 0.969621i \(-0.421340\pi\)
−0.877653 + 0.479297i \(0.840892\pi\)
\(648\) −5.14166 40.9958i −0.201984 1.61047i
\(649\) −1.11451 0.157927i −0.0437482 0.00619916i
\(650\) 26.7014 + 26.4464i 1.04732 + 1.03731i
\(651\) −22.9009 8.24319i −0.897559 0.323076i
\(652\) 13.0543 + 5.46852i 0.511245 + 0.214164i
\(653\) −1.00802 11.6408i −0.0394467 0.455540i −0.989609 0.143785i \(-0.954073\pi\)
0.950162 0.311756i \(-0.100917\pi\)
\(654\) −78.9349 10.6704i −3.08660 0.417246i
\(655\) −5.44450 + 3.05880i −0.212734 + 0.119517i
\(656\) −1.61731 8.46645i −0.0631453 0.330559i
\(657\) 1.60995 21.8404i 0.0628100 0.852074i
\(658\) 2.80550 5.69856i 0.109370 0.222153i
\(659\) −24.7784 + 11.9048i −0.965229 + 0.463743i −0.848369 0.529405i \(-0.822415\pi\)
−0.116860 + 0.993148i \(0.537283\pi\)
\(660\) −3.71504 0.896304i −0.144608 0.0348886i
\(661\) 17.1875 22.9389i 0.668515 0.892220i −0.330147 0.943929i \(-0.607098\pi\)
0.998662 + 0.0517098i \(0.0164671\pi\)
\(662\) −7.18677 + 8.19715i −0.279322 + 0.318591i
\(663\) 41.3742 + 58.2691i 1.60684 + 2.26299i
\(664\) −8.85046 + 11.2028i −0.343464 + 0.434752i
\(665\) 0.588572 6.32579i 0.0228239 0.245304i
\(666\) −74.0541 + 37.3453i −2.86954 + 1.44710i
\(667\) −34.7871 18.9624i −1.34696 0.734226i
\(668\) −13.7674 + 27.5189i −0.532679 + 1.06474i
\(669\) 83.1282 37.3515i 3.21392 1.44409i
\(670\) −10.7262 2.15589i −0.414391 0.0832891i
\(671\) −1.75037 1.68983i −0.0675722 0.0652352i
\(672\) −18.9910 + 12.6784i −0.732592 + 0.489079i
\(673\) 7.62768 23.2727i 0.294025 0.897098i −0.690724 0.723119i \(-0.742708\pi\)
0.984749 0.173980i \(-0.0556627\pi\)
\(674\) −22.5626 27.4590i −0.869078 1.05768i
\(675\) −60.7880 + 28.2539i −2.33973 + 1.08749i
\(676\) 14.3953 14.2578i 0.553666 0.548378i
\(677\) 2.82758 2.10453i 0.108673 0.0808837i −0.541356 0.840793i \(-0.682089\pi\)
0.650029 + 0.759910i \(0.274757\pi\)
\(678\) −3.26029 + 0.942906i −0.125211 + 0.0362121i
\(679\) −1.88313 + 4.79385i −0.0722680 + 0.183971i
\(680\) 2.21118 + 4.79743i 0.0847949 + 0.183973i
\(681\) −0.861198 38.4498i −0.0330012 1.47340i
\(682\) 10.0026 2.07712i 0.383021 0.0795370i
\(683\) −15.8094 + 16.6935i −0.604931 + 0.638759i −0.954521 0.298144i \(-0.903633\pi\)
0.349590 + 0.936903i \(0.386321\pi\)
\(684\) 41.6121 44.5060i 1.59108 1.70173i
\(685\) 18.1033 + 1.27626i 0.691693 + 0.0487632i
\(686\) 0.715873 24.8562i 0.0273322 0.949015i
\(687\) −5.10881 + 5.75238i −0.194913 + 0.219467i
\(688\) −4.47992 + 5.74581i −0.170795 + 0.219057i
\(689\) 72.9907 + 8.44374i 2.78073 + 0.321681i
\(690\) −50.1790 + 13.1305i −1.91028 + 0.499868i
\(691\) 3.76236 + 11.9958i 0.143127 + 0.456343i 0.998051 0.0624105i \(-0.0198788\pi\)
−0.854924 + 0.518754i \(0.826396\pi\)
\(692\) −28.1214 13.9566i −1.06902 0.530551i
\(693\) 7.06301 0.407175i 0.268302 0.0154673i
\(694\) −5.08343 + 5.57837i −0.192964 + 0.211752i
\(695\) 6.53538 + 11.8986i 0.247901 + 0.451340i
\(696\) −10.0820 + 17.8117i −0.382156 + 0.675151i
\(697\) −6.69184 + 2.26461i −0.253472 + 0.0857783i
\(698\) 29.2665 + 5.30004i 1.10775 + 0.200609i
\(699\) −30.1443 + 1.15781i −1.14016 + 0.0437925i
\(700\) 4.24024 + 3.37198i 0.160266 + 0.127449i
\(701\) −6.57433 3.97543i −0.248309 0.150150i 0.387813 0.921738i \(-0.373231\pi\)
−0.636122 + 0.771588i \(0.719463\pi\)
\(702\) 69.2989 + 152.919i 2.61552 + 5.77155i
\(703\) 28.8440 + 12.5192i 1.08787 + 0.472170i
\(704\) 0.664494 1.44170i 0.0250441 0.0543362i
\(705\) −8.07830 8.42145i −0.304246 0.317170i
\(706\) 33.1178 16.4363i 1.24640 0.618588i
\(707\) 15.7976 9.00877i 0.594129 0.338810i
\(708\) −2.00495 5.74244i −0.0753506 0.215814i
\(709\) 48.8978 9.50296i 1.83640 0.356891i 0.850730 0.525603i \(-0.176160\pi\)
0.985665 + 0.168712i \(0.0539607\pi\)
\(710\) 10.8217 + 2.46479i 0.406133 + 0.0925019i
\(711\) 5.96431 + 7.16469i 0.223679 + 0.268697i
\(712\) −5.77804 + 0.110924i −0.216541 + 0.00415704i
\(713\) 42.2453 35.3968i 1.58210 1.32562i
\(714\) 17.2100 + 19.3780i 0.644070 + 0.725205i
\(715\) −4.60397 + 0.294981i −0.172179 + 0.0110317i
\(716\) −4.97338 9.63095i −0.185864 0.359926i
\(717\) 16.8990 + 98.7091i 0.631105 + 3.68636i
\(718\) 1.30767 + 8.27344i 0.0488019 + 0.308762i
\(719\) −3.18526 + 0.0815395i −0.118790 + 0.00304091i −0.0849405 0.996386i \(-0.527070\pi\)
−0.0338496 + 0.999427i \(0.510777\pi\)
\(720\) 10.1001 + 41.2838i 0.376410 + 1.53856i
\(721\) −3.85786 + 3.77242i −0.143674 + 0.140492i
\(722\) −23.4576 1.35231i −0.873002 0.0503276i
\(723\) 53.9502 + 30.7658i 2.00643 + 1.14419i
\(724\) −4.65703 + 25.2548i −0.173077 + 0.938589i
\(725\) 18.7274 + 3.88888i 0.695518 + 0.144429i
\(726\) 51.6671 35.9456i 1.91755 1.33406i
\(727\) −35.8382 + 22.3022i −1.32916 + 0.827142i −0.993389 0.114800i \(-0.963377\pi\)
−0.335776 + 0.941942i \(0.608998\pi\)
\(728\) −4.40818 + 5.43535i −0.163378 + 0.201448i
\(729\) −98.6573 + 6.95518i −3.65398 + 0.257599i
\(730\) 0.215329 + 5.17453i 0.00796970 + 0.191518i
\(731\) 5.16834 + 2.99129i 0.191158 + 0.110637i
\(732\) 3.77345 12.5933i 0.139471 0.465463i
\(733\) −14.9116 + 26.7419i −0.550773 + 0.987734i 0.444968 + 0.895546i \(0.353215\pi\)
−0.995742 + 0.0921877i \(0.970614\pi\)
\(734\) 37.1594 + 7.96477i 1.37158 + 0.293985i
\(735\) −19.3817 7.68524i −0.714905 0.283474i
\(736\) −3.14098 51.6105i −0.115778 1.90239i
\(737\) −3.68764 + 2.78151i −0.135836 + 0.102458i
\(738\) −25.9793 + 3.51189i −0.956313 + 0.129274i
\(739\) −1.12346 5.00650i −0.0413271 0.184167i 0.950717 0.310061i \(-0.100350\pi\)
−0.992044 + 0.125894i \(0.959820\pi\)
\(740\) 6.51173 4.28726i 0.239376 0.157603i
\(741\) 43.8296 90.4835i 1.61012 3.32400i
\(742\) 26.6467 + 0.170497i 0.978231 + 0.00625916i
\(743\) 17.2031 + 18.3995i 0.631121 + 0.675012i 0.963369 0.268180i \(-0.0864222\pi\)
−0.332248 + 0.943192i \(0.607807\pi\)
\(744\) −17.9343 22.1132i −0.657502 0.810709i
\(745\) 16.0017 + 5.52957i 0.586258 + 0.202588i
\(746\) 6.02320 + 2.29957i 0.220525 + 0.0841933i
\(747\) 70.5930 + 62.2923i 2.58286 + 2.27916i
\(748\) −4.13808 1.25437i −0.151303 0.0458643i
\(749\) −6.12776 4.50018i −0.223903 0.164433i
\(750\) 48.8941 29.9946i 1.78536 1.09525i
\(751\) −0.0121415 + 3.79519i −0.000443051 + 0.138489i 0.997373 + 0.0724358i \(0.0230772\pi\)
−0.997816 + 0.0660528i \(0.978959\pi\)
\(752\) 13.5676 8.68592i 0.494758 0.316743i
\(753\) −6.97389 + 6.73269i −0.254143 + 0.245353i
\(754\) 10.1896 46.8081i 0.371083 1.70465i
\(755\) 0.493744 2.01815i 0.0179692 0.0734481i
\(756\) 12.3237 + 20.8291i 0.448209 + 0.757548i
\(757\) 12.5003 12.7019i 0.454332 0.461658i −0.447160 0.894454i \(-0.647565\pi\)
0.901492 + 0.432796i \(0.142473\pi\)
\(758\) 3.69306 5.13123i 0.134138 0.186375i
\(759\) −9.92284 + 19.5210i −0.360176 + 0.708566i
\(760\) 4.41812 5.97585i 0.160262 0.216767i
\(761\) 1.98523 2.95318i 0.0719646 0.107053i −0.792201 0.610260i \(-0.791065\pi\)
0.864166 + 0.503208i \(0.167847\pi\)
\(762\) 61.0288 + 28.8421i 2.21084 + 1.04484i
\(763\) −13.3399 + 3.76570i −0.482937 + 0.136327i
\(764\) −3.85541 8.22593i −0.139484 0.297604i
\(765\) 32.3817 12.8400i 1.17076 0.464231i
\(766\) −4.02922 + 0.676542i −0.145582 + 0.0244445i
\(767\) −4.36511 5.90415i −0.157615 0.213186i
\(768\) −69.8513 + 3.13063i −2.52054 + 0.112967i
\(769\) −10.9148 6.41077i −0.393598 0.231178i 0.296285 0.955100i \(-0.404252\pi\)
−0.689882 + 0.723921i \(0.742338\pi\)
\(770\) −1.64819 + 0.287601i