Properties

Label 983.2.c.a.2.4
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 2.4
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.862858 + 2.57683i) q^{2} +(1.07786 + 0.605560i) q^{3} +(-4.29883 - 3.24251i) q^{4} +(1.73663 - 2.61941i) q^{5} +(-2.49047 + 2.25496i) q^{6} +(-1.58443 + 3.49630i) q^{7} +(7.58350 - 5.20426i) q^{8} +(-0.765444 - 1.25675i) q^{9} +O(q^{10})\) \(q+(-0.862858 + 2.57683i) q^{2} +(1.07786 + 0.605560i) q^{3} +(-4.29883 - 3.24251i) q^{4} +(1.73663 - 2.61941i) q^{5} +(-2.49047 + 2.25496i) q^{6} +(-1.58443 + 3.49630i) q^{7} +(7.58350 - 5.20426i) q^{8} +(-0.765444 - 1.25675i) q^{9} +(5.25132 + 6.73519i) q^{10} +(-0.162710 - 0.0104250i) q^{11} +(-2.67002 - 6.09819i) q^{12} +(-0.748119 - 0.864391i) q^{13} +(-7.64223 - 7.09963i) q^{14} +(3.45806 - 1.77174i) q^{15} +(3.90820 + 13.6772i) q^{16} +(6.25017 - 2.76042i) q^{17} +(3.89890 - 0.888025i) q^{18} +(0.449946 + 0.343924i) q^{19} +(-15.9590 + 5.62935i) q^{20} +(-3.82502 + 2.80907i) q^{21} +(0.167259 - 0.410281i) q^{22} +(-0.836680 - 7.89568i) q^{23} +(11.3255 - 1.01722i) q^{24} +(-1.89881 - 4.49240i) q^{25} +(2.87291 - 1.18193i) q^{26} +(-0.194503 - 5.52480i) q^{27} +(18.1480 - 9.89243i) q^{28} +(5.78597 - 8.37361i) q^{29} +(1.58165 + 10.4396i) q^{30} +(4.19827 + 6.24523i) q^{31} +(-20.2395 - 0.907105i) q^{32} +(-0.169067 - 0.109767i) q^{33} +(1.72014 + 18.4875i) q^{34} +(6.40667 + 10.2221i) q^{35} +(-0.784516 + 7.88451i) q^{36} +(-0.185888 + 0.0461086i) q^{37} +(-1.27447 + 0.862678i) q^{38} +(-0.282931 - 1.38473i) q^{39} +(-0.462355 - 28.9022i) q^{40} +(-1.36157 - 0.122293i) q^{41} +(-3.93804 - 12.2803i) q^{42} +(0.0951545 + 0.130442i) q^{43} +(0.665659 + 0.572405i) q^{44} +(-4.62124 - 0.177497i) q^{45} +(21.0678 + 4.65686i) q^{46} +(0.850979 + 2.84002i) q^{47} +(-4.06985 + 17.1088i) q^{48} +(-5.09895 - 5.81580i) q^{49} +(13.2146 - 1.01662i) q^{50} +(8.40844 + 0.809490i) q^{51} +(0.413235 + 6.14165i) q^{52} +(-8.86230 + 8.12805i) q^{53} +(14.4043 + 4.26592i) q^{54} +(-0.309875 + 0.408100i) q^{55} +(6.18009 + 34.7600i) q^{56} +(0.276715 + 0.643173i) q^{57} +(16.5849 + 22.1347i) q^{58} +(6.33010 + 0.486984i) q^{59} +(-20.6105 - 3.59643i) q^{60} +(9.84991 + 8.36098i) q^{61} +(-19.7154 + 5.42948i) q^{62} +(5.60677 - 0.684985i) q^{63} +(9.56921 - 24.8257i) q^{64} +(-3.56340 + 0.458504i) q^{65} +(0.428733 - 0.340942i) q^{66} +(-0.395660 + 0.340231i) q^{67} +(-35.8191 - 8.39968i) q^{68} +(3.87948 - 9.01713i) q^{69} +(-31.8686 + 7.68872i) q^{70} +(7.05451 - 5.75886i) q^{71} +(-12.3452 - 5.54699i) q^{72} +(2.46400 + 1.76146i) q^{73} +(0.0415811 - 0.518788i) q^{74} +(0.673755 - 5.99204i) q^{75} +(-0.819063 - 2.93742i) q^{76} +(0.294252 - 0.552365i) q^{77} +(3.81234 + 0.465758i) q^{78} +(2.54140 - 0.376721i) q^{79} +(42.6133 + 13.5151i) q^{80} +(1.11044 - 2.15037i) q^{81} +(1.48997 - 3.40302i) q^{82} +(2.31539 - 0.718067i) q^{83} +(25.5515 + 0.326994i) q^{84} +(3.62356 - 21.1656i) q^{85} +(-0.418231 + 0.132645i) q^{86} +(11.3072 - 5.52187i) q^{87} +(-1.28817 + 0.767727i) q^{88} +(1.88577 + 1.24157i) q^{89} +(4.44485 - 11.7550i) q^{90} +(4.20751 - 1.24608i) q^{91} +(-22.0051 + 36.6551i) q^{92} +(0.743301 + 9.27382i) q^{93} +(-8.05252 - 0.257702i) q^{94} +(1.68227 - 0.581326i) q^{95} +(-21.2662 - 13.2340i) q^{96} +(-6.78154 + 0.347429i) q^{97} +(19.3860 - 8.12093i) q^{98} +(0.111444 + 0.212466i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.862858 + 2.57683i −0.610133 + 1.82210i −0.0420633 + 0.999115i \(0.513393\pi\)
−0.568069 + 0.822981i \(0.692310\pi\)
\(3\) 1.07786 + 0.605560i 0.622306 + 0.349620i 0.768703 0.639606i \(-0.220902\pi\)
−0.146398 + 0.989226i \(0.546768\pi\)
\(4\) −4.29883 3.24251i −2.14941 1.62126i
\(5\) 1.73663 2.61941i 0.776645 1.17144i −0.204633 0.978839i \(-0.565600\pi\)
0.981278 0.192598i \(-0.0616913\pi\)
\(6\) −2.49047 + 2.25496i −1.01673 + 0.920585i
\(7\) −1.58443 + 3.49630i −0.598859 + 1.32148i 0.327506 + 0.944849i \(0.393792\pi\)
−0.926365 + 0.376627i \(0.877084\pi\)
\(8\) 7.58350 5.20426i 2.68117 1.83998i
\(9\) −0.765444 1.25675i −0.255148 0.418917i
\(10\) 5.25132 + 6.73519i 1.66061 + 2.12985i
\(11\) −0.162710 0.0104250i −0.0490589 0.00314326i 0.0393911 0.999224i \(-0.487458\pi\)
−0.0884501 + 0.996081i \(0.528191\pi\)
\(12\) −2.67002 6.09819i −0.770768 1.76040i
\(13\) −0.748119 0.864391i −0.207491 0.239739i 0.642823 0.766015i \(-0.277763\pi\)
−0.850314 + 0.526276i \(0.823588\pi\)
\(14\) −7.64223 7.09963i −2.04247 1.89745i
\(15\) 3.45806 1.77174i 0.892868 0.457461i
\(16\) 3.90820 + 13.6772i 0.977049 + 3.41930i
\(17\) 6.25017 2.76042i 1.51589 0.669501i 0.531750 0.846901i \(-0.321535\pi\)
0.984139 + 0.177401i \(0.0567688\pi\)
\(18\) 3.89890 0.888025i 0.918980 0.209309i
\(19\) 0.449946 + 0.343924i 0.103225 + 0.0789015i 0.657609 0.753359i \(-0.271568\pi\)
−0.554385 + 0.832261i \(0.687046\pi\)
\(20\) −15.9590 + 5.62935i −3.56853 + 1.25876i
\(21\) −3.82502 + 2.80907i −0.834688 + 0.612989i
\(22\) 0.167259 0.410281i 0.0356598 0.0874723i
\(23\) −0.836680 7.89568i −0.174460 1.64636i −0.645144 0.764061i \(-0.723203\pi\)
0.470684 0.882302i \(-0.344007\pi\)
\(24\) 11.3255 1.01722i 2.31180 0.207640i
\(25\) −1.89881 4.49240i −0.379762 0.898480i
\(26\) 2.87291 1.18193i 0.563424 0.231796i
\(27\) −0.194503 5.52480i −0.0374322 1.06325i
\(28\) 18.1480 9.89243i 3.42965 1.86949i
\(29\) 5.78597 8.37361i 1.07443 1.55494i 0.268174 0.963370i \(-0.413580\pi\)
0.806254 0.591570i \(-0.201492\pi\)
\(30\) 1.58165 + 10.4396i 0.288769 + 1.90600i
\(31\) 4.19827 + 6.24523i 0.754031 + 1.12168i 0.988745 + 0.149613i \(0.0478027\pi\)
−0.234714 + 0.972065i \(0.575415\pi\)
\(32\) −20.2395 0.907105i −3.57788 0.160355i
\(33\) −0.169067 0.109767i −0.0294307 0.0191081i
\(34\) 1.72014 + 18.4875i 0.295001 + 3.17058i
\(35\) 6.40667 + 10.2221i 1.08292 + 1.72784i
\(36\) −0.784516 + 7.88451i −0.130753 + 1.31409i
\(37\) −0.185888 + 0.0461086i −0.0305599 + 0.00758021i −0.255999 0.966677i \(-0.582404\pi\)
0.225439 + 0.974257i \(0.427618\pi\)
\(38\) −1.27447 + 0.862678i −0.206747 + 0.139945i
\(39\) −0.282931 1.38473i −0.0453052 0.221734i
\(40\) −0.462355 28.9022i −0.0731048 4.56984i
\(41\) −1.36157 0.122293i −0.212642 0.0190989i −0.0173749 0.999849i \(-0.505531\pi\)
−0.195267 + 0.980750i \(0.562557\pi\)
\(42\) −3.93804 12.2803i −0.607653 1.89489i
\(43\) 0.0951545 + 0.130442i 0.0145109 + 0.0198922i 0.815081 0.579346i \(-0.196692\pi\)
−0.800571 + 0.599239i \(0.795470\pi\)
\(44\) 0.665659 + 0.572405i 0.100352 + 0.0862933i
\(45\) −4.62124 0.177497i −0.688894 0.0264597i
\(46\) 21.0678 + 4.65686i 3.10627 + 0.686617i
\(47\) 0.850979 + 2.84002i 0.124128 + 0.414259i 0.997324 0.0731104i \(-0.0232926\pi\)
−0.873196 + 0.487369i \(0.837957\pi\)
\(48\) −4.06985 + 17.1088i −0.587433 + 2.46945i
\(49\) −5.09895 5.81580i −0.728422 0.830829i
\(50\) 13.2146 1.01662i 1.86882 0.143771i
\(51\) 8.40844 + 0.809490i 1.17742 + 0.113351i
\(52\) 0.413235 + 6.14165i 0.0573054 + 0.851694i
\(53\) −8.86230 + 8.12805i −1.21733 + 1.11647i −0.227566 + 0.973763i \(0.573077\pi\)
−0.989765 + 0.142710i \(0.954418\pi\)
\(54\) 14.4043 + 4.26592i 1.96018 + 0.580518i
\(55\) −0.309875 + 0.408100i −0.0417835 + 0.0550282i
\(56\) 6.18009 + 34.7600i 0.825849 + 4.64499i
\(57\) 0.276715 + 0.643173i 0.0366518 + 0.0851903i
\(58\) 16.5849 + 22.1347i 2.17771 + 2.90643i
\(59\) 6.33010 + 0.486984i 0.824109 + 0.0633999i 0.481902 0.876225i \(-0.339946\pi\)
0.342206 + 0.939625i \(0.388826\pi\)
\(60\) −20.6105 3.59643i −2.66080 0.464297i
\(61\) 9.84991 + 8.36098i 1.26115 + 1.07051i 0.994283 + 0.106781i \(0.0340545\pi\)
0.266870 + 0.963733i \(0.414011\pi\)
\(62\) −19.7154 + 5.42948i −2.50386 + 0.689544i
\(63\) 5.60677 0.684985i 0.706386 0.0863001i
\(64\) 9.56921 24.8257i 1.19615 3.10321i
\(65\) −3.56340 + 0.458504i −0.441986 + 0.0568704i
\(66\) 0.428733 0.340942i 0.0527734 0.0419671i
\(67\) −0.395660 + 0.340231i −0.0483376 + 0.0415658i −0.675836 0.737052i \(-0.736217\pi\)
0.627499 + 0.778618i \(0.284079\pi\)
\(68\) −35.8191 8.39968i −4.34370 1.01861i
\(69\) 3.87948 9.01713i 0.467034 1.08554i
\(70\) −31.8686 + 7.68872i −3.80902 + 0.918978i
\(71\) 7.05451 5.75886i 0.837216 0.683451i −0.113492 0.993539i \(-0.536204\pi\)
0.950708 + 0.310088i \(0.100358\pi\)
\(72\) −12.3452 5.54699i −1.45489 0.653719i
\(73\) 2.46400 + 1.76146i 0.288390 + 0.206163i 0.716543 0.697543i \(-0.245724\pi\)
−0.428153 + 0.903706i \(0.640836\pi\)
\(74\) 0.0415811 0.518788i 0.00483370 0.0603079i
\(75\) 0.673755 5.99204i 0.0777985 0.691902i
\(76\) −0.819063 2.93742i −0.0939530 0.336946i
\(77\) 0.294252 0.552365i 0.0335331 0.0629479i
\(78\) 3.81234 + 0.465758i 0.431662 + 0.0527367i
\(79\) 2.54140 0.376721i 0.285929 0.0423844i −0.00212735 0.999998i \(-0.500677\pi\)
0.288057 + 0.957613i \(0.406991\pi\)
\(80\) 42.6133 + 13.5151i 4.76431 + 1.51103i
\(81\) 1.11044 2.15037i 0.123382 0.238930i
\(82\) 1.48997 3.40302i 0.164540 0.375801i
\(83\) 2.31539 0.718067i 0.254147 0.0788181i −0.166504 0.986041i \(-0.553248\pi\)
0.420651 + 0.907223i \(0.361802\pi\)
\(84\) 25.5515 + 0.326994i 2.78790 + 0.0356779i
\(85\) 3.62356 21.1656i 0.393030 2.29573i
\(86\) −0.418231 + 0.132645i −0.0450990 + 0.0143034i
\(87\) 11.3072 5.52187i 1.21226 0.592006i
\(88\) −1.28817 + 0.767727i −0.137319 + 0.0818400i
\(89\) 1.88577 + 1.24157i 0.199891 + 0.131606i 0.645899 0.763423i \(-0.276483\pi\)
−0.446008 + 0.895029i \(0.647155\pi\)
\(90\) 4.44485 11.7550i 0.468529 1.23909i
\(91\) 4.20751 1.24608i 0.441067 0.130624i
\(92\) −22.0051 + 36.6551i −2.29419 + 3.82156i
\(93\) 0.743301 + 9.27382i 0.0770767 + 0.961650i
\(94\) −8.05252 0.257702i −0.830554 0.0265800i
\(95\) 1.68227 0.581326i 0.172597 0.0596428i
\(96\) −21.2662 13.2340i −2.17047 1.35069i
\(97\) −6.78154 + 0.347429i −0.688561 + 0.0352761i −0.392309 0.919834i \(-0.628323\pi\)
−0.296252 + 0.955110i \(0.595737\pi\)
\(98\) 19.3860 8.12093i 1.95828 0.820338i
\(99\) 0.111444 + 0.212466i 0.0112005 + 0.0213536i
\(100\) −6.40400 + 25.4690i −0.640400 + 2.54690i
\(101\) −7.18862 5.20880i −0.715295 0.518295i 0.168772 0.985655i \(-0.446020\pi\)
−0.884067 + 0.467360i \(0.845205\pi\)
\(102\) −9.34121 + 20.9687i −0.924918 + 2.07621i
\(103\) −7.72308 3.00532i −0.760977 0.296123i −0.0494459 0.998777i \(-0.515746\pi\)
−0.711531 + 0.702654i \(0.751998\pi\)
\(104\) −10.1719 2.66170i −0.997434 0.261001i
\(105\) 0.715451 + 14.8976i 0.0698209 + 1.45386i
\(106\) −13.2977 29.8500i −1.29159 2.89929i
\(107\) 4.01119 19.0107i 0.387776 1.83783i −0.142227 0.989834i \(-0.545426\pi\)
0.530003 0.847996i \(-0.322191\pi\)
\(108\) −17.0781 + 24.3808i −1.64334 + 2.34605i
\(109\) −10.9351 12.9663i −1.04739 1.24194i −0.969529 0.244978i \(-0.921219\pi\)
−0.0778617 0.996964i \(-0.524809\pi\)
\(110\) −0.784228 1.15063i −0.0747732 0.109708i
\(111\) −0.228284 0.0628677i −0.0216678 0.00596714i
\(112\) −54.0118 8.00638i −5.10364 0.756532i
\(113\) 12.9500 + 6.32412i 1.21823 + 0.594923i 0.931728 0.363156i \(-0.118301\pi\)
0.286505 + 0.958079i \(0.407506\pi\)
\(114\) −1.89611 + 0.158081i −0.177587 + 0.0148056i
\(115\) −22.1350 11.5203i −2.06410 1.07427i
\(116\) −52.0244 + 17.2356i −4.83035 + 1.60028i
\(117\) −0.513680 + 1.60184i −0.0474897 + 0.148090i
\(118\) −6.71685 + 15.8914i −0.618336 + 1.46292i
\(119\) −0.251714 + 26.2262i −0.0230746 + 2.40415i
\(120\) 17.0036 31.4326i 1.55221 2.86939i
\(121\) −10.8837 1.40041i −0.989426 0.127310i
\(122\) −30.0439 + 18.1672i −2.72005 + 1.64478i
\(123\) −1.39354 0.956329i −0.125651 0.0862293i
\(124\) 2.20264 40.4601i 0.197803 3.63342i
\(125\) 0.379291 + 0.0711973i 0.0339248 + 0.00636808i
\(126\) −3.07275 + 15.0387i −0.273742 + 1.33976i
\(127\) 5.74940 + 13.8489i 0.510177 + 1.22889i 0.944611 + 0.328191i \(0.106439\pi\)
−0.434435 + 0.900703i \(0.643052\pi\)
\(128\) 24.4905 + 20.2551i 2.16468 + 1.79031i
\(129\) 0.0235735 + 0.198220i 0.00207553 + 0.0174523i
\(130\) 1.89322 9.57791i 0.166047 0.840039i
\(131\) 10.0344 + 5.14110i 0.876706 + 0.449180i 0.835192 0.549958i \(-0.185356\pi\)
0.0415135 + 0.999138i \(0.486782\pi\)
\(132\) 0.370865 + 1.02007i 0.0322797 + 0.0887858i
\(133\) −1.91537 + 1.02822i −0.166084 + 0.0891581i
\(134\) −0.535319 1.31312i −0.0462445 0.113436i
\(135\) −14.8095 9.08506i −1.27460 0.781918i
\(136\) 33.0322 53.4611i 2.83249 4.58425i
\(137\) −1.42800 2.52282i −0.122002 0.215539i 0.802560 0.596572i \(-0.203471\pi\)
−0.924562 + 0.381032i \(0.875569\pi\)
\(138\) 19.8882 + 17.7773i 1.69300 + 1.51330i
\(139\) −5.98676 + 11.4137i −0.507791 + 0.968093i 0.487680 + 0.873023i \(0.337843\pi\)
−0.995471 + 0.0950706i \(0.969692\pi\)
\(140\) 5.60402 64.7166i 0.473626 5.46955i
\(141\) −0.802561 + 3.57647i −0.0675878 + 0.301193i
\(142\) 8.75258 + 23.1474i 0.734501 + 1.94248i
\(143\) 0.112715 + 0.148444i 0.00942572 + 0.0124135i
\(144\) 14.1973 15.3808i 1.18311 1.28173i
\(145\) −11.8858 29.6977i −0.987065 2.46626i
\(146\) −6.66506 + 4.82943i −0.551605 + 0.399687i
\(147\) −1.97416 9.35637i −0.162826 0.771701i
\(148\) 0.948609 + 0.404533i 0.0779752 + 0.0332524i
\(149\) −4.81599 18.6480i −0.394542 1.52771i −0.792251 0.610196i \(-0.791091\pi\)
0.397709 0.917512i \(-0.369805\pi\)
\(150\) 14.8591 + 6.90644i 1.21324 + 0.563908i
\(151\) 9.34745 3.36461i 0.760684 0.273808i 0.0705683 0.997507i \(-0.477519\pi\)
0.690116 + 0.723699i \(0.257559\pi\)
\(152\) 5.20203 + 0.266508i 0.421940 + 0.0216167i
\(153\) −8.25332 5.74195i −0.667241 0.464209i
\(154\) 1.16945 + 1.23485i 0.0942373 + 0.0995071i
\(155\) 23.6497 0.151321i 1.89959 0.0121544i
\(156\) −3.27373 + 6.87011i −0.262108 + 0.550049i
\(157\) −14.1867 15.3693i −1.13223 1.22660i −0.970844 0.239712i \(-0.922947\pi\)
−0.161381 0.986892i \(-0.551595\pi\)
\(158\) −1.22212 + 6.87381i −0.0972265 + 0.546851i
\(159\) −14.4744 + 3.39428i −1.14789 + 0.269184i
\(160\) −37.5247 + 51.4404i −2.96659 + 4.06672i
\(161\) 28.9313 + 9.58489i 2.28011 + 0.755395i
\(162\) 4.58300 + 4.71689i 0.360074 + 0.370594i
\(163\) 11.3736 2.89854i 0.890851 0.227031i 0.226107 0.974103i \(-0.427400\pi\)
0.664744 + 0.747071i \(0.268541\pi\)
\(164\) 5.45663 + 4.94063i 0.426091 + 0.385799i
\(165\) −0.581132 + 0.252229i −0.0452411 + 0.0196360i
\(166\) −0.147512 + 6.58595i −0.0114492 + 0.511169i
\(167\) −1.20353 6.52668i −0.0931320 0.505050i −0.997011 0.0772612i \(-0.975382\pi\)
0.903879 0.427788i \(-0.140707\pi\)
\(168\) −14.3879 + 41.2090i −1.11005 + 3.17934i
\(169\) 1.67757 11.5722i 0.129044 0.890168i
\(170\) 51.4136 + 27.6002i 3.94324 + 2.11684i
\(171\) 0.0878173 0.828724i 0.00671556 0.0633741i
\(172\) 0.0139062 0.869286i 0.00106034 0.0662824i
\(173\) −20.0389 + 3.76152i −1.52353 + 0.285983i −0.878338 0.478040i \(-0.841347\pi\)
−0.645188 + 0.764024i \(0.723221\pi\)
\(174\) 4.47240 + 33.9014i 0.339052 + 2.57006i
\(175\) 18.7153 + 0.479093i 1.41474 + 0.0362161i
\(176\) −0.493318 2.26616i −0.0371853 0.170818i
\(177\) 6.52809 + 4.35816i 0.490681 + 0.327579i
\(178\) −4.82647 + 3.78801i −0.361759 + 0.283923i
\(179\) 7.72700 + 3.71243i 0.577543 + 0.277480i 0.699006 0.715116i \(-0.253626\pi\)
−0.121463 + 0.992596i \(0.538759\pi\)
\(180\) 19.2904 + 15.7475i 1.43782 + 1.17375i
\(181\) 10.0265 + 20.0413i 0.745264 + 1.48966i 0.867650 + 0.497176i \(0.165630\pi\)
−0.122386 + 0.992483i \(0.539055\pi\)
\(182\) −0.419552 + 11.9172i −0.0310993 + 0.883365i
\(183\) 5.55380 + 14.9767i 0.410549 + 1.10711i
\(184\) −47.4361 55.5225i −3.49704 4.09318i
\(185\) −0.202042 + 0.566992i −0.0148544 + 0.0416861i
\(186\) −24.5384 6.08663i −1.79925 0.446293i
\(187\) −1.04574 + 0.383991i −0.0764723 + 0.0280802i
\(188\) 5.55058 14.9680i 0.404818 1.09166i
\(189\) 19.6245 + 8.07364i 1.42747 + 0.587271i
\(190\) 0.0464201 + 4.83652i 0.00336767 + 0.350878i
\(191\) −8.43695 4.45988i −0.610476 0.322706i 0.133360 0.991068i \(-0.457423\pi\)
−0.743836 + 0.668362i \(0.766996\pi\)
\(192\) 25.3478 20.9640i 1.82932 1.51295i
\(193\) −3.72887 3.55409i −0.268410 0.255829i 0.543772 0.839233i \(-0.316995\pi\)
−0.812182 + 0.583404i \(0.801721\pi\)
\(194\) 4.95624 17.7747i 0.355837 1.27615i
\(195\) −4.11852 1.66365i −0.294933 0.119136i
\(196\) 3.06168 + 41.5345i 0.218692 + 2.96675i
\(197\) 8.18798 2.19864i 0.583369 0.156647i 0.0444608 0.999011i \(-0.485843\pi\)
0.538908 + 0.842364i \(0.318837\pi\)
\(198\) −0.643649 + 0.103845i −0.0457421 + 0.00737991i
\(199\) −6.76895 + 10.4991i −0.479838 + 0.744261i −0.993512 0.113725i \(-0.963722\pi\)
0.513674 + 0.857985i \(0.328284\pi\)
\(200\) −37.7792 24.1862i −2.67140 1.71022i
\(201\) −0.632498 + 0.127127i −0.0446130 + 0.00896684i
\(202\) 19.6250 14.0294i 1.38081 0.987106i
\(203\) 20.1091 + 33.4969i 1.41139 + 2.35102i
\(204\) −33.5216 30.7443i −2.34698 2.15253i
\(205\) −2.68489 + 3.35414i −0.187521 + 0.234264i
\(206\) 14.4081 17.3079i 1.00386 1.20590i
\(207\) −9.28246 + 7.09520i −0.645176 + 0.493150i
\(208\) 8.89865 13.6104i 0.617010 0.943710i
\(209\) −0.0696254 0.0606505i −0.00481609 0.00419529i
\(210\) −39.0060 11.0109i −2.69167 0.759827i
\(211\) 0.488964 + 2.97023i 0.0336616 + 0.204479i 0.998239 0.0593213i \(-0.0188936\pi\)
−0.964577 + 0.263800i \(0.915024\pi\)
\(212\) 64.4528 6.20494i 4.42663 0.426157i
\(213\) 11.0911 1.93535i 0.759953 0.132608i
\(214\) 45.5262 + 26.7397i 3.11211 + 1.82789i
\(215\) 0.506929 0.0227198i 0.0345723 0.00154948i
\(216\) −30.2275 40.8851i −2.05672 2.78188i
\(217\) −28.4871 + 4.78324i −1.93383 + 0.324707i
\(218\) 42.8473 16.9898i 2.90198 1.15070i
\(219\) 1.58919 + 3.39071i 0.107388 + 0.229123i
\(220\) 2.65537 0.749579i 0.179025 0.0505366i
\(221\) −7.06195 3.33746i −0.475038 0.224502i
\(222\) 0.358976 0.534004i 0.0240929 0.0358400i
\(223\) 6.92168 9.36212i 0.463510 0.626934i −0.508728 0.860927i \(-0.669884\pi\)
0.972238 + 0.233993i \(0.0751794\pi\)
\(224\) 35.2397 69.3262i 2.35455 4.63205i
\(225\) −4.19239 + 5.82501i −0.279493 + 0.388334i
\(226\) −27.4702 + 27.9132i −1.82729 + 1.85676i
\(227\) 7.80564 + 13.1928i 0.518079 + 0.875640i 1.00000 0.000574849i \(-0.000182980\pi\)
−0.481921 + 0.876215i \(0.660061\pi\)
\(228\) 0.895947 3.66214i 0.0593355 0.242531i
\(229\) −1.50108 + 6.89551i −0.0991940 + 0.455668i 0.900586 + 0.434679i \(0.143138\pi\)
−0.999780 + 0.0209899i \(0.993318\pi\)
\(230\) 48.7852 47.0979i 3.21680 3.10554i
\(231\) 0.651654 0.417188i 0.0428757 0.0274489i
\(232\) 0.299485 93.6129i 0.0196622 6.14599i
\(233\) −12.1294 + 7.44094i −0.794626 + 0.487472i −0.859942 0.510393i \(-0.829500\pi\)
0.0653156 + 0.997865i \(0.479195\pi\)
\(234\) −3.68444 2.70583i −0.240860 0.176885i
\(235\) 8.91701 + 2.70300i 0.581682 + 0.176324i
\(236\) −25.6329 22.6189i −1.66856 1.47236i
\(237\) 2.96741 + 1.13291i 0.192754 + 0.0735907i
\(238\) −67.3632 23.2781i −4.36651 1.50889i
\(239\) −2.31318 2.85218i −0.149627 0.184492i 0.696365 0.717688i \(-0.254799\pi\)
−0.845992 + 0.533196i \(0.820991\pi\)
\(240\) 37.7472 + 40.3723i 2.43657 + 2.60602i
\(241\) 17.2686 + 0.110492i 1.11237 + 0.00711743i 0.561502 0.827475i \(-0.310224\pi\)
0.550867 + 0.834593i \(0.314297\pi\)
\(242\) 12.9997 26.8371i 0.835652 1.72515i
\(243\) −11.3529 + 7.47462i −0.728288 + 0.479497i
\(244\) −15.2325 67.8809i −0.975159 4.34563i
\(245\) −24.0890 + 3.25635i −1.53899 + 0.208040i
\(246\) 3.66672 2.76573i 0.233782 0.176337i
\(247\) −0.0393288 0.646225i −0.00250243 0.0411183i
\(248\) 64.3393 + 25.5119i 4.08555 + 1.62000i
\(249\) 2.93051 + 0.628126i 0.185713 + 0.0398059i
\(250\) −0.510738 + 0.915936i −0.0323019 + 0.0579289i
\(251\) −6.43000 + 21.4592i −0.405858 + 1.35449i 0.474530 + 0.880239i \(0.342618\pi\)
−0.880388 + 0.474253i \(0.842718\pi\)
\(252\) −26.3236 15.2354i −1.65823 0.959739i
\(253\) 0.0538239 + 1.29343i 0.00338388 + 0.0813172i
\(254\) −40.6473 + 2.86557i −2.55044 + 0.179802i
\(255\) 16.7227 20.6194i 1.04722 1.29124i
\(256\) −28.1472 + 17.5160i −1.75920 + 1.09475i
\(257\) −3.52116 + 2.44972i −0.219644 + 0.152809i −0.675787 0.737097i \(-0.736196\pi\)
0.456143 + 0.889907i \(0.349231\pi\)
\(258\) −0.531121 0.110291i −0.0330662 0.00686643i
\(259\) 0.133318 0.722977i 0.00828399 0.0449236i
\(260\) 16.8051 + 9.58335i 1.04221 + 0.594334i
\(261\) −14.9524 0.861988i −0.925529 0.0533557i
\(262\) −21.9060 + 21.4208i −1.35336 + 1.32338i
\(263\) −0.0358002 0.146331i −0.00220753 0.00902318i 0.970238 0.242152i \(-0.0778532\pi\)
−0.972446 + 0.233129i \(0.925104\pi\)
\(264\) −1.85337 + 0.0474445i −0.114067 + 0.00292001i
\(265\) 5.90016 + 37.3294i 0.362444 + 2.29313i
\(266\) −0.996863 5.82279i −0.0611216 0.357018i
\(267\) 1.28076 + 2.48019i 0.0783811 + 0.151785i
\(268\) 2.80408 0.179660i 0.171286 0.0109745i
\(269\) −7.30264 8.22257i −0.445250 0.501339i 0.481798 0.876282i \(-0.339984\pi\)
−0.927048 + 0.374943i \(0.877662\pi\)
\(270\) 36.1892 30.3225i 2.20240 1.84537i
\(271\) 10.3464 0.198623i 0.628496 0.0120655i 0.296027 0.955180i \(-0.404338\pi\)
0.332469 + 0.943114i \(0.392118\pi\)
\(272\) 62.1817 + 74.6965i 3.77032 + 4.52914i
\(273\) 5.28970 + 1.20480i 0.320147 + 0.0729176i
\(274\) 7.73305 1.50287i 0.467171 0.0907915i
\(275\) 0.262123 + 0.750754i 0.0158066 + 0.0452722i
\(276\) −45.9154 + 26.1838i −2.76378 + 1.57608i
\(277\) −4.59624 + 2.28110i −0.276161 + 0.137058i −0.577326 0.816514i \(-0.695904\pi\)
0.301165 + 0.953572i \(0.402625\pi\)
\(278\) −24.2453 25.2752i −1.45414 1.51591i
\(279\) 4.63516 10.0566i 0.277500 0.602070i
\(280\) 101.783 + 44.1770i 6.08271 + 2.64008i
\(281\) −4.71219 10.3982i −0.281105 0.620303i 0.715852 0.698252i \(-0.246039\pi\)
−0.996957 + 0.0779491i \(0.975163\pi\)
\(282\) −8.52348 5.15405i −0.507566 0.306919i
\(283\) −9.94557 7.90904i −0.591203 0.470144i 0.280718 0.959790i \(-0.409427\pi\)
−0.871921 + 0.489646i \(0.837126\pi\)
\(284\) −48.9993 + 1.88201i −2.90757 + 0.111677i
\(285\) 2.16529 + 0.392124i 0.128260 + 0.0232274i
\(286\) −0.479773 + 0.162362i −0.0283696 + 0.00960066i
\(287\) 2.58489 4.56670i 0.152581 0.269564i
\(288\) 14.3522 + 26.1304i 0.845714 + 1.53975i
\(289\) 19.9942 21.9409i 1.17613 1.29064i
\(290\) 86.7818 5.00288i 5.09600 0.293779i
\(291\) −7.51997 3.73215i −0.440829 0.218782i
\(292\) −4.88077 15.5618i −0.285625 0.910683i
\(293\) −2.20334 + 0.576555i −0.128721 + 0.0336827i −0.316949 0.948443i \(-0.602658\pi\)
0.188228 + 0.982125i \(0.439726\pi\)
\(294\) 25.8132 + 2.98613i 1.50546 + 0.174155i
\(295\) 12.2687 15.7354i 0.714309 0.916152i
\(296\) −1.16972 + 1.31708i −0.0679887 + 0.0765534i
\(297\) −0.0259484 + 0.900969i −0.00150568 + 0.0522795i
\(298\) 52.2084 + 3.68061i 3.02435 + 0.213212i
\(299\) −6.19901 + 6.63012i −0.358498 + 0.383430i
\(300\) −22.3256 + 23.5741i −1.28897 + 1.36105i
\(301\) −0.606829 + 0.126012i −0.0349770 + 0.00726324i
\(302\) 0.604521 + 26.9900i 0.0347863 + 1.55310i
\(303\) −4.59412 9.96752i −0.263926 0.572619i
\(304\) −2.94543 + 7.49812i −0.168932 + 0.430047i
\(305\) 39.0065 11.2810i 2.23351 0.645950i
\(306\) 21.9175 16.3129i 1.25294 0.932548i
\(307\) −10.9405 + 10.8360i −0.624406 + 0.618442i −0.944329 0.329002i \(-0.893288\pi\)
0.319924 + 0.947443i \(0.396343\pi\)
\(308\) −3.05599 + 1.42041i −0.174131 + 0.0809351i
\(309\) −6.50453 7.91611i −0.370030 0.450332i
\(310\) −20.0164 + 61.0718i −1.13685 + 3.46865i
\(311\) −3.49198 + 2.33125i −0.198012 + 0.132193i −0.650296 0.759681i \(-0.725355\pi\)
0.452284 + 0.891874i \(0.350610\pi\)
\(312\) −9.35208 9.02863i −0.529457 0.511146i
\(313\) −15.9936 3.21458i −0.904010 0.181699i −0.277147 0.960828i \(-0.589389\pi\)
−0.626864 + 0.779129i \(0.715662\pi\)
\(314\) 51.8453 23.2953i 2.92580 1.31463i
\(315\) 7.94263 15.8760i 0.447516 0.894511i
\(316\) −12.1465 6.62105i −0.683296 0.372463i
\(317\) −18.2800 + 9.21854i −1.02670 + 0.517765i −0.881772 0.471677i \(-0.843649\pi\)
−0.144933 + 0.989441i \(0.546297\pi\)
\(318\) 3.74284 40.2268i 0.209888 2.25581i
\(319\) −1.02873 + 1.30215i −0.0575979 + 0.0729065i
\(320\) −48.4106 68.1788i −2.70623 3.81131i
\(321\) 15.8356 18.0619i 0.883858 1.00812i
\(322\) −49.6623 + 66.2807i −2.76757 + 3.69368i
\(323\) 3.76161 + 0.907539i 0.209302 + 0.0504968i
\(324\) −11.7462 + 5.64345i −0.652567 + 0.313525i
\(325\) −2.46265 + 5.00216i −0.136603 + 0.277470i
\(326\) −2.34477 + 31.8089i −0.129865 + 1.76173i
\(327\) −3.93469 20.5977i −0.217589 1.13906i
\(328\) −10.9619 + 6.15857i −0.605271 + 0.340050i
\(329\) −11.2779 1.52454i −0.621769 0.0840507i
\(330\) −0.148518 1.71512i −0.00817563 0.0944142i
\(331\) −23.9134 10.0175i −1.31440 0.550610i −0.386103 0.922456i \(-0.626179\pi\)
−0.928294 + 0.371846i \(0.878725\pi\)
\(332\) −12.2818 4.42083i −0.674050 0.242624i
\(333\) 0.200234 + 0.198322i 0.0109728 + 0.0108680i
\(334\) 17.8566 + 2.53030i 0.977071 + 0.138452i
\(335\) 0.204089 + 1.62725i 0.0111506 + 0.0889063i
\(336\) −53.3691 41.3372i −2.91152 2.25513i
\(337\) 2.22209 3.54543i 0.121045 0.193132i −0.781288 0.624170i \(-0.785437\pi\)
0.902334 + 0.431038i \(0.141853\pi\)
\(338\) 28.3721 + 14.3080i 1.54324 + 0.778251i
\(339\) 10.1287 + 14.6585i 0.550116 + 0.796143i
\(340\) −84.2068 + 79.2378i −4.56675 + 4.29727i
\(341\) −0.617994 1.05993i −0.0334662 0.0573984i
\(342\) 2.05971 + 0.941362i 0.111376 + 0.0509030i
\(343\) 2.69827 0.817923i 0.145693 0.0441637i
\(344\) 1.40046 + 0.493996i 0.0755075 + 0.0266345i
\(345\) −16.8824 25.8214i −0.908916 1.39018i
\(346\) 7.59787 54.8824i 0.408464 2.95050i
\(347\) 18.9196 + 8.35593i 1.01565 + 0.448570i 0.843860 0.536563i \(-0.180278\pi\)
0.171795 + 0.985133i \(0.445043\pi\)
\(348\) −66.5125 12.9263i −3.56544 0.692920i
\(349\) 2.82283 + 19.4724i 0.151102 + 1.04233i 0.916862 + 0.399204i \(0.130714\pi\)
−0.765760 + 0.643127i \(0.777637\pi\)
\(350\) −17.3832 + 47.8128i −0.929171 + 2.55570i
\(351\) −4.63008 + 4.30134i −0.247135 + 0.229588i
\(352\) 3.28372 + 0.358592i 0.175023 + 0.0191130i
\(353\) −13.3021 13.3448i −0.708002 0.710270i 0.258762 0.965941i \(-0.416685\pi\)
−0.966764 + 0.255671i \(0.917704\pi\)
\(354\) −16.8631 + 13.0613i −0.896261 + 0.694202i
\(355\) −2.83376 28.4797i −0.150400 1.51154i
\(356\) −4.08078 11.4519i −0.216281 0.606950i
\(357\) −16.1528 + 28.1158i −0.854898 + 1.48805i
\(358\) −16.2336 + 16.7079i −0.857973 + 0.883039i
\(359\) 1.17555 0.611822i 0.0620434 0.0322907i −0.430366 0.902655i \(-0.641615\pi\)
0.492409 + 0.870364i \(0.336116\pi\)
\(360\) −35.9689 + 22.7041i −1.89573 + 1.19661i
\(361\) −4.90186 18.0246i −0.257993 0.948664i
\(362\) −60.2945 + 8.54380i −3.16901 + 0.449052i
\(363\) −10.8831 8.10018i −0.571216 0.425149i
\(364\) −22.1278 8.28624i −1.15981 0.434317i
\(365\) 8.89305 3.39524i 0.465483 0.177715i
\(366\) −43.3846 + 1.38843i −2.26775 + 0.0725742i
\(367\) 2.81853 + 25.0666i 0.147126 + 1.30847i 0.821556 + 0.570128i \(0.193106\pi\)
−0.674430 + 0.738339i \(0.735611\pi\)
\(368\) 104.721 42.3013i 5.45895 2.20511i
\(369\) 0.888517 + 1.80477i 0.0462543 + 0.0939523i
\(370\) −1.28671 1.00986i −0.0668928 0.0525002i
\(371\) −14.3764 43.8636i −0.746383 2.27728i
\(372\) 26.8752 42.2767i 1.39341 2.19194i
\(373\) −0.322471 + 7.74923i −0.0166969 + 0.401240i 0.970438 + 0.241351i \(0.0775904\pi\)
−0.987135 + 0.159889i \(0.948886\pi\)
\(374\) −0.0871515 3.02603i −0.00450649 0.156472i
\(375\) 0.365710 + 0.306424i 0.0188852 + 0.0158237i
\(376\) 21.2336 + 17.1085i 1.09504 + 0.882306i
\(377\) −11.5667 + 1.26312i −0.595714 + 0.0650537i
\(378\) −37.7376 + 43.6027i −1.94101 + 2.24268i
\(379\) 8.41195 + 2.60878i 0.432093 + 0.134004i 0.504580 0.863365i \(-0.331647\pi\)
−0.0724868 + 0.997369i \(0.523094\pi\)
\(380\) −9.11673 2.95576i −0.467679 0.151627i
\(381\) −2.18929 + 18.4089i −0.112161 + 0.943116i
\(382\) 18.7723 17.8924i 0.960472 0.915453i
\(383\) 7.64238 + 14.3461i 0.390507 + 0.733054i 0.998127 0.0611742i \(-0.0194845\pi\)
−0.607620 + 0.794228i \(0.707876\pi\)
\(384\) 14.1318 + 36.6627i 0.721163 + 1.87094i
\(385\) −0.935865 1.73002i −0.0476961 0.0881701i
\(386\) 12.3758 6.54200i 0.629911 0.332979i
\(387\) 0.0910971 0.219431i 0.00463073 0.0111543i
\(388\) 30.2792 + 20.4957i 1.53719 + 1.04051i
\(389\) 26.7439 + 9.82021i 1.35597 + 0.497904i 0.916385 0.400297i \(-0.131093\pi\)
0.439585 + 0.898201i \(0.355126\pi\)
\(390\) 7.84064 9.17724i 0.397026 0.464707i
\(391\) −27.0248 47.0397i −1.36670 2.37890i
\(392\) −68.9348 17.5679i −3.48173 0.887312i
\(393\) 7.70244 + 11.6178i 0.388537 + 0.586041i
\(394\) −1.39953 + 22.9962i −0.0705074 + 1.15853i
\(395\) 3.42668 7.31119i 0.172415 0.367866i
\(396\) 0.209845 1.27471i 0.0105451 0.0640566i
\(397\) −2.29688 + 34.1371i −0.115277 + 1.71329i 0.453880 + 0.891063i \(0.350039\pi\)
−0.569157 + 0.822229i \(0.692730\pi\)
\(398\) −21.2137 26.5017i −1.06335 1.32841i
\(399\) −2.68716 0.0515865i −0.134526 0.00258256i
\(400\) 54.0225 43.5276i 2.70113 2.17638i
\(401\) −13.4233 + 13.4663i −0.670328 + 0.672476i −0.958497 0.285104i \(-0.907972\pi\)
0.288169 + 0.957580i \(0.406954\pi\)
\(402\) 0.218171 1.73953i 0.0108814 0.0867601i
\(403\) 2.25752 8.30112i 0.112455 0.413508i
\(404\) 14.0130 + 45.7009i 0.697175 + 2.27371i
\(405\) −3.70428 6.64311i −0.184067 0.330099i
\(406\) −103.667 + 22.9148i −5.14492 + 1.13724i
\(407\) 0.0307266 0.00556445i 0.00152306 0.000275820i
\(408\) 67.9782 37.6209i 3.36542 1.86251i
\(409\) −2.56105 2.84677i −0.126636 0.140764i 0.676773 0.736192i \(-0.263378\pi\)
−0.803409 + 0.595428i \(0.796983\pi\)
\(410\) −6.32639 9.81265i −0.312438 0.484612i
\(411\) −0.0114659 3.58400i −0.000565571 0.176786i
\(412\) 23.4554 + 37.9615i 1.15556 + 1.87023i
\(413\) −11.7323 + 21.3603i −0.577307 + 1.05107i
\(414\) −10.2737 30.0415i −0.504924 1.47646i
\(415\) 2.14006 7.31197i 0.105051 0.358930i
\(416\) 14.3575 + 18.1735i 0.703934 + 0.891029i
\(417\) −13.3646 + 8.67703i −0.654466 + 0.424916i
\(418\) 0.216363 0.127080i 0.0105827 0.00621569i
\(419\) −1.07215 + 0.910082i −0.0523780 + 0.0444604i −0.672941 0.739696i \(-0.734969\pi\)
0.620563 + 0.784157i \(0.286904\pi\)
\(420\) 45.2301 66.3621i 2.20700 3.23814i
\(421\) 39.5968 4.06789i 1.92983 0.198257i 0.940068 0.340987i \(-0.110761\pi\)
0.989762 + 0.142730i \(0.0455881\pi\)
\(422\) −8.07569 1.30291i −0.393119 0.0634247i
\(423\) 2.91781 3.24334i 0.141869 0.157697i
\(424\) −24.9068 + 107.761i −1.20958 + 5.23332i
\(425\) −24.2688 22.8367i −1.17721 1.10774i
\(426\) −4.58301 + 30.2499i −0.222048 + 1.46561i
\(427\) −44.8390 + 21.1908i −2.16991 + 1.02550i
\(428\) −78.8857 + 68.7172i −3.81308 + 3.32157i
\(429\) 0.0315999 + 0.228259i 0.00152566 + 0.0110204i
\(430\) −0.378863 + 1.32587i −0.0182704 + 0.0639394i
\(431\) −4.93956 24.9895i −0.237930 1.20370i −0.893674 0.448718i \(-0.851881\pi\)
0.655743 0.754984i \(-0.272355\pi\)
\(432\) 74.8037 24.2523i 3.59899 1.16684i
\(433\) 0.238557 0.00305291i 0.0114643 0.000146714i −0.00706399 0.999975i \(-0.502249\pi\)
0.0185283 + 0.999828i \(0.494102\pi\)
\(434\) 12.2547 77.5337i 0.588244 3.72173i
\(435\) 5.17243 39.2077i 0.247999 1.87987i
\(436\) 4.96473 + 91.1968i 0.237767 + 4.36753i
\(437\) 2.33905 3.84038i 0.111892 0.183710i
\(438\) −10.1086 + 1.16938i −0.483005 + 0.0558752i
\(439\) −24.6039 + 9.57421i −1.17428 + 0.456952i −0.868760 0.495234i \(-0.835082\pi\)
−0.305518 + 0.952186i \(0.598830\pi\)
\(440\) −0.226075 + 4.70750i −0.0107777 + 0.224421i
\(441\) −3.40605 + 10.8598i −0.162193 + 0.517132i
\(442\) 14.6935 15.3177i 0.698901 0.728589i
\(443\) −8.37026 21.3080i −0.397683 1.01237i −0.979927 0.199359i \(-0.936114\pi\)
0.582244 0.813014i \(-0.302175\pi\)
\(444\) 0.777504 + 1.01047i 0.0368987 + 0.0479548i
\(445\) 6.52706 2.78345i 0.309413 0.131948i
\(446\) 18.1522 + 25.9142i 0.859531 + 1.22707i
\(447\) 6.10152 23.0164i 0.288592 1.08864i
\(448\) 71.6363 + 72.7915i 3.38450 + 3.43907i
\(449\) 15.6612 2.42402i 0.739097 0.114397i 0.227688 0.973734i \(-0.426883\pi\)
0.511409 + 0.859338i \(0.329124\pi\)
\(450\) −11.3926 15.8292i −0.537055 0.746198i
\(451\) 0.220267 + 0.0340927i 0.0103720 + 0.00160536i
\(452\) −35.1638 69.1768i −1.65396 3.25380i
\(453\) 12.1128 + 2.03384i 0.569107 + 0.0955582i
\(454\) −40.7309 + 8.73028i −1.91160 + 0.409733i
\(455\) 4.04291 13.1852i 0.189534 0.618131i
\(456\) 5.44570 + 3.43740i 0.255018 + 0.160971i
\(457\) 30.9159 + 2.57749i 1.44618 + 0.120570i 0.780263 0.625452i \(-0.215085\pi\)
0.665922 + 0.746022i \(0.268039\pi\)
\(458\) −16.4734 9.81788i −0.769750 0.458759i
\(459\) −16.4665 33.9940i −0.768589 1.58671i
\(460\) 57.8000 + 121.297i 2.69494 + 5.65549i
\(461\) 5.33970 13.3417i 0.248695 0.621384i −0.750527 0.660840i \(-0.770200\pi\)
0.999221 + 0.0394566i \(0.0125627\pi\)
\(462\) 0.512738 + 2.03918i 0.0238547 + 0.0948711i
\(463\) −15.0270 + 13.4320i −0.698362 + 0.624238i −0.938004 0.346623i \(-0.887328\pi\)
0.239642 + 0.970861i \(0.422970\pi\)
\(464\) 137.140 + 46.4102i 6.36657 + 2.15454i
\(465\) 25.5828 + 14.1582i 1.18637 + 0.656571i
\(466\) −8.70807 37.6760i −0.403393 1.74531i
\(467\) −3.30322 + 5.66540i −0.152855 + 0.262163i −0.930309 0.366776i \(-0.880462\pi\)
0.777455 + 0.628939i \(0.216511\pi\)
\(468\) 7.40221 5.22042i 0.342167 0.241314i
\(469\) −0.562651 1.92242i −0.0259808 0.0887690i
\(470\) −14.6593 + 20.6453i −0.676183 + 0.952298i
\(471\) −5.98435 25.1570i −0.275744 1.15917i
\(472\) 50.5387 29.2504i 2.32623 1.34636i
\(473\) −0.0141227 0.0222162i −0.000649365 0.00102150i
\(474\) −5.47978 + 6.66897i −0.251695 + 0.306316i
\(475\) 0.690679 2.67438i 0.0316905 0.122709i
\(476\) 86.1207 111.925i 3.94734 5.13010i
\(477\) 16.9985 + 4.91612i 0.778309 + 0.225094i
\(478\) 9.34553 3.49964i 0.427454 0.160070i
\(479\) −17.3683 + 15.3261i −0.793579 + 0.700266i −0.958203 0.286090i \(-0.907644\pi\)
0.164624 + 0.986356i \(0.447359\pi\)
\(480\) −71.5968 + 32.7223i −3.26793 + 1.49356i
\(481\) 0.178922 + 0.126185i 0.00815816 + 0.00575356i
\(482\) −15.1851 + 44.4030i −0.691662 + 2.02250i
\(483\) 25.3798 + 27.8509i 1.15482 + 1.26726i
\(484\) 42.2463 + 41.3106i 1.92028 + 1.87776i
\(485\) −10.8670 + 18.3670i −0.493444 + 0.834002i
\(486\) −9.46492 35.7040i −0.429337 1.61957i
\(487\) 5.07800 6.02124i 0.230106 0.272848i −0.637118 0.770767i \(-0.719873\pi\)
0.867224 + 0.497918i \(0.165902\pi\)
\(488\) 118.209 + 12.1440i 5.35109 + 0.549733i
\(489\) 14.0145 + 3.76317i 0.633756 + 0.170177i
\(490\) 12.3943 64.8830i 0.559918 2.93112i
\(491\) 13.3509 + 39.8710i 0.602517 + 1.79935i 0.600861 + 0.799353i \(0.294824\pi\)
0.00165588 + 0.999999i \(0.499473\pi\)
\(492\) 2.88966 + 8.62965i 0.130276 + 0.389055i
\(493\) 13.0486 68.3082i 0.587680 3.07645i
\(494\) 1.69915 + 0.456257i 0.0764483 + 0.0205280i
\(495\) 0.750072 + 0.0770570i 0.0337132 + 0.00346346i
\(496\) −69.0096 + 81.8281i −3.09862 + 3.67419i
\(497\) 8.95731 + 33.7892i 0.401790 + 1.51565i
\(498\) −4.14719 + 7.00944i −0.185840 + 0.314100i
\(499\) 19.3010 + 18.8735i 0.864030 + 0.844894i 0.989099 0.147254i \(-0.0470435\pi\)
−0.125069 + 0.992148i \(0.539915\pi\)
\(500\) −1.39965 1.53592i −0.0625941 0.0686885i
\(501\) 2.65505 7.76369i 0.118619 0.346856i
\(502\) −49.7486 35.0853i −2.22039 1.56593i
\(503\) −29.0221 + 13.2641i −1.29403 + 0.591419i −0.939155 0.343494i \(-0.888389\pi\)
−0.354876 + 0.934913i \(0.615477\pi\)
\(504\) 38.9541 34.3736i 1.73515 1.53112i
\(505\) −26.1280 + 9.78420i −1.16268 + 0.435391i
\(506\) −3.37939 0.977351i −0.150232 0.0434485i
\(507\) 8.81585 11.4574i 0.391526 0.508840i
\(508\) 20.1897 78.1766i 0.895773 3.46853i
\(509\) −8.05147 + 9.79875i −0.356875 + 0.434322i −0.919921 0.392103i \(-0.871748\pi\)
0.563046 + 0.826426i \(0.309629\pi\)
\(510\) 38.7033 + 60.8833i 1.71381 + 2.69596i
\(511\) −10.0626 + 5.82398i −0.445144 + 0.257638i
\(512\) −6.13904 25.8072i −0.271310 1.14053i
\(513\) 1.81259 2.55276i 0.0800280 0.112707i
\(514\) −3.27426 11.1872i −0.144421 0.493446i
\(515\) −21.2843 + 15.0108i −0.937898 + 0.661455i
\(516\) 0.541394 0.928552i 0.0238335 0.0408772i
\(517\) −0.108856 0.470971i −0.00478747 0.0207133i
\(518\) 1.74796 + 0.967365i 0.0768008 + 0.0425036i
\(519\) −23.8770 8.08031i −1.04808 0.354686i
\(520\) −24.6369 + 22.0219i −1.08040 + 0.965725i
\(521\) 1.04421 + 4.15288i 0.0457478 + 0.181941i 0.988410 0.151807i \(-0.0485093\pi\)
−0.942662 + 0.333748i \(0.891686\pi\)
\(522\) 15.1230 37.7860i 0.661915 1.65385i
\(523\) −0.0361617 0.0758874i −0.00158124 0.00331832i 0.901954 0.431833i \(-0.142133\pi\)
−0.903535 + 0.428514i \(0.859037\pi\)
\(524\) −26.4659 54.6372i −1.15617 2.38684i
\(525\) 19.8825 + 11.8496i 0.867741 + 0.517161i
\(526\) 0.407962 + 0.0340122i 0.0177880 + 0.00148300i
\(527\) 43.4794 + 27.4448i 1.89399 + 1.19551i
\(528\) 0.840566 2.74135i 0.0365809 0.119302i
\(529\) −39.1525 + 8.39196i −1.70228 + 0.364868i
\(530\) −101.283 17.0063i −4.39944 0.738705i
\(531\) −4.23332 8.32811i −0.183710 0.361409i
\(532\) 11.5679 + 1.79046i 0.501530 + 0.0776264i
\(533\) 0.912910 + 1.26842i 0.0395425 + 0.0549414i
\(534\) −7.49614 + 1.16025i −0.324390 + 0.0502088i
\(535\) −42.8308 43.5215i −1.85174 1.88160i
\(536\) −1.22984 + 4.63925i −0.0531209 + 0.200385i
\(537\) 6.08056 + 8.68066i 0.262396 + 0.374598i
\(538\) 27.4893 11.7228i 1.18515 0.505404i
\(539\) 0.769021 + 0.999447i 0.0331241 + 0.0430492i
\(540\) 34.2051 + 87.0751i 1.47195 + 3.74712i
\(541\) −9.82491 + 10.2423i −0.422406 + 0.440349i −0.898452 0.439071i \(-0.855308\pi\)
0.476047 + 0.879420i \(0.342069\pi\)
\(542\) −8.41562 + 26.8322i −0.361482 + 1.15254i
\(543\) −1.32901 + 27.6735i −0.0570331 + 1.18758i
\(544\) −129.005 + 50.2001i −5.53102 + 2.15231i
\(545\) −52.9542 + 6.12586i −2.26831 + 0.262403i
\(546\) −7.66882 + 12.5911i −0.328195 + 0.538850i
\(547\) 0.583397 + 10.7164i 0.0249443 + 0.458200i 0.984356 + 0.176191i \(0.0563776\pi\)
−0.959412 + 0.282009i \(0.908999\pi\)
\(548\) −2.04158 + 15.4755i −0.0872120 + 0.661079i
\(549\) 2.96810 18.7787i 0.126676 0.801457i
\(550\) −2.16074 + 0.0276519i −0.0921343 + 0.00117908i
\(551\) 5.48326 1.77774i 0.233595 0.0757343i
\(552\) −17.5075 88.5712i −0.745167 3.76984i
\(553\) −2.70954 + 9.48237i −0.115222 + 0.403231i
\(554\) −1.91212 13.8120i −0.0812382 0.586816i
\(555\) −0.561122 + 0.488792i −0.0238183 + 0.0207481i
\(556\) 62.7450 29.6531i 2.66098 1.25757i
\(557\) −1.07291 + 7.08171i −0.0454608 + 0.300062i 0.954537 + 0.298092i \(0.0963501\pi\)
−0.999998 + 0.00197010i \(0.999373\pi\)
\(558\) 21.9146 + 20.6214i 0.927717 + 0.872973i
\(559\) 0.0415657 0.179837i 0.00175804 0.00760628i
\(560\) −114.771 + 127.575i −4.84994 + 5.39103i
\(561\) −1.35970 0.219370i −0.0574065 0.00926181i
\(562\) 30.8603 3.17037i 1.30176 0.133734i
\(563\) 9.98291 14.6470i 0.420730 0.617299i −0.556152 0.831081i \(-0.687723\pi\)
0.976881 + 0.213782i \(0.0685781\pi\)
\(564\) 15.0468 12.7723i 0.633586 0.537812i
\(565\) 39.0548 22.9387i 1.64305 0.965039i
\(566\) 28.9619 18.8037i 1.21736 0.790378i
\(567\) 5.75892 + 7.28956i 0.241852 + 0.306133i
\(568\) 23.5272 80.3858i 0.987181 3.37291i
\(569\) −3.86626 11.3054i −0.162082 0.473947i 0.835003 0.550245i \(-0.185466\pi\)
−0.997085 + 0.0762984i \(0.975690\pi\)
\(570\) −2.87877 + 5.24123i −0.120578 + 0.219531i
\(571\) 7.83152 + 12.6750i 0.327739 + 0.530431i 0.972184 0.234220i \(-0.0752536\pi\)
−0.644445 + 0.764651i \(0.722911\pi\)
\(572\) −0.00321076 1.00362i −0.000134249 0.0419633i
\(573\) −6.39317 9.91623i −0.267078 0.414256i
\(574\) 9.53722 + 10.6013i 0.398076 + 0.442488i
\(575\) −33.8818 + 18.7511i −1.41297 + 0.781975i
\(576\) −38.5244 + 6.97660i −1.60518 + 0.290692i
\(577\) 40.7465 9.00670i 1.69630 0.374954i 0.741211 0.671272i \(-0.234252\pi\)
0.955089 + 0.296318i \(0.0957589\pi\)
\(578\) 39.2859 + 70.4536i 1.63408 + 2.93048i
\(579\) −1.86700 6.08888i −0.0775900 0.253045i
\(580\) −45.2001 + 166.205i −1.87683 + 6.90130i
\(581\) −1.15800 + 9.23301i −0.0480419 + 0.383050i
\(582\) 16.1058 16.1574i 0.667606 0.669745i
\(583\) 1.52672 1.23013i 0.0632303 0.0509466i
\(584\) 27.8528 + 0.534703i 1.15256 + 0.0221262i
\(585\) 3.30381 + 4.12735i 0.136596 + 0.170645i
\(586\) 0.415488 6.17513i 0.0171636 0.255092i
\(587\) −2.73977 + 16.6429i −0.113082 + 0.686924i 0.868472 + 0.495739i \(0.165103\pi\)
−0.981554 + 0.191185i \(0.938767\pi\)
\(588\) −21.8516 + 46.6227i −0.901144 + 1.92269i
\(589\) −0.258890 + 4.25390i −0.0106674 + 0.175279i
\(590\) 29.9614 + 45.1917i 1.23349 + 1.86051i
\(591\) 10.1569 + 2.58847i 0.417801 + 0.106476i
\(592\) −1.35712 2.36223i −0.0557775 0.0970871i
\(593\) −22.0003 + 25.7508i −0.903446 + 1.05746i 0.0946337 + 0.995512i \(0.469832\pi\)
−0.998080 + 0.0619445i \(0.980270\pi\)
\(594\) −2.29926 0.844273i −0.0943396 0.0346409i
\(595\) 68.2600 + 46.2045i 2.79839 + 1.89420i
\(596\) −39.7634 + 95.7806i −1.62877 + 3.92333i
\(597\) −13.6538 + 7.21759i −0.558814 + 0.295396i
\(598\) −11.7358 21.6947i −0.479915 0.887161i
\(599\) 11.9654 + 31.0423i 0.488894 + 1.26835i 0.928890 + 0.370355i \(0.120764\pi\)
−0.439996 + 0.898000i \(0.645020\pi\)
\(600\) −26.0747 48.9470i −1.06450 1.99825i
\(601\) 22.7927 21.7244i 0.929735 0.886157i −0.0639960 0.997950i \(-0.520384\pi\)
0.993731 + 0.111793i \(0.0356594\pi\)
\(602\) 0.198894 1.67243i 0.00810633 0.0681631i
\(603\) 0.730441 + 0.236818i 0.0297458 + 0.00964397i
\(604\) −51.0928 15.8453i −2.07894 0.644738i
\(605\) −22.5692 + 26.0769i −0.917569 + 1.06018i
\(606\) 29.6487 3.23773i 1.20440 0.131524i
\(607\) −11.3381 9.13547i −0.460200 0.370797i 0.369294 0.929312i \(-0.379599\pi\)
−0.829494 + 0.558515i \(0.811371\pi\)
\(608\) −8.79473 7.36900i −0.356673 0.298853i
\(609\) 1.39056 + 48.2824i 0.0563484 + 1.95650i
\(610\) −4.58775 + 110.247i −0.185753 + 4.46378i
\(611\) 1.81825 2.86025i 0.0735586 0.115713i
\(612\) 16.8612 + 51.4451i 0.681575 + 2.07955i
\(613\) −9.74253 7.64633i −0.393497 0.308833i 0.401026 0.916067i \(-0.368654\pi\)
−0.794523 + 0.607234i \(0.792279\pi\)
\(614\) −18.4824 37.5417i −0.745889 1.51506i
\(615\) −4.92508 + 1.98945i −0.198598 + 0.0802225i
\(616\) −0.643191 5.72022i −0.0259149 0.230474i
\(617\) −37.4711 + 1.19918i −1.50853 + 0.0482770i −0.775251 0.631653i \(-0.782377\pi\)
−0.733277 + 0.679930i \(0.762010\pi\)
\(618\) 26.0110 9.93061i 1.04632 0.399468i
\(619\) 7.34101 + 2.74900i 0.295060 + 0.110492i 0.493841 0.869552i \(-0.335592\pi\)
−0.198781 + 0.980044i \(0.563698\pi\)
\(620\) −102.157 76.0339i −4.10270 3.05359i
\(621\) −43.4593 + 6.15823i −1.74396 + 0.247121i
\(622\) −2.99415 11.0098i −0.120054 0.441452i
\(623\) −7.32877 + 4.62602i −0.293621 + 0.185338i
\(624\) 17.8334 9.28149i 0.713909 0.371557i
\(625\) 17.8387 18.3599i 0.713548 0.734394i
\(626\) 22.0836 38.4390i 0.882639 1.53633i
\(627\) −0.0383192 0.107535i −0.00153032 0.00429455i
\(628\) 11.1511 + 112.071i 0.444979 + 4.47211i
\(629\) −1.03455 + 0.801317i −0.0412504 + 0.0319506i
\(630\) 34.0564 + 34.1656i 1.35684 + 1.36119i
\(631\) 16.2829 + 1.77814i 0.648213 + 0.0707868i 0.426732 0.904378i \(-0.359665\pi\)
0.221481 + 0.975165i \(0.428911\pi\)
\(632\) 17.3121 16.0829i 0.688639 0.639745i
\(633\) −1.27162 + 3.49760i −0.0505422 + 0.139017i
\(634\) −7.98163 55.0587i −0.316991 2.18666i
\(635\) 46.2606 + 8.99045i 1.83580 + 0.356775i
\(636\) 73.2288 + 32.3419i 2.90371 + 1.28244i
\(637\) −1.21250 + 8.75840i −0.0480412 + 0.347020i
\(638\) −2.46778 3.77444i −0.0977003 0.149431i
\(639\) −12.6373 4.45766i −0.499923 0.176342i
\(640\) 95.5874 28.9752i 3.77842 1.14535i
\(641\) 16.1805 + 7.39509i 0.639092 + 0.292088i 0.708726 0.705484i \(-0.249270\pi\)
−0.0696332 + 0.997573i \(0.522183\pi\)
\(642\) 32.8786 + 56.3906i 1.29762 + 2.22556i
\(643\) 36.0718 33.9433i 1.42253 1.33859i 0.564060 0.825734i \(-0.309239\pi\)
0.858474 0.512857i \(-0.171413\pi\)
\(644\) −93.2915 135.014i −3.67620 5.32029i
\(645\) 0.560159 + 0.282487i 0.0220562 + 0.0111229i
\(646\) −5.58432 + 8.90997i −0.219712 + 0.350558i
\(647\) −18.8702 14.6160i −0.741865 0.574613i 0.169834 0.985473i \(-0.445677\pi\)
−0.911699 + 0.410859i \(0.865229\pi\)
\(648\) −2.77006 22.0864i −0.108818 0.867634i
\(649\) −1.02489 0.145228i −0.0402306 0.00570072i
\(650\) −10.7648 10.6620i −0.422231 0.418198i
\(651\) −33.6017 12.0949i −1.31696 0.474038i
\(652\) −58.2918 24.4188i −2.28288 0.956314i
\(653\) 1.88062 + 21.7178i 0.0735943 + 0.849885i 0.937897 + 0.346913i \(0.112770\pi\)
−0.864303 + 0.502972i \(0.832240\pi\)
\(654\) 56.4719 + 7.63388i 2.20823 + 0.298508i
\(655\) 30.8926 17.3559i 1.20707 0.678152i
\(656\) −3.64867 19.1004i −0.142457 0.745747i
\(657\) 0.327655 4.44493i 0.0127830 0.173413i
\(658\) 13.6597 27.7457i 0.532510 1.08164i
\(659\) 20.9558 10.0682i 0.816320 0.392200i 0.0220439 0.999757i \(-0.492983\pi\)
0.794276 + 0.607557i \(0.207850\pi\)
\(660\) 3.31604 + 0.800040i 0.129077 + 0.0311415i
\(661\) −19.5160 + 26.0466i −0.759083 + 1.01309i 0.240021 + 0.970768i \(0.422846\pi\)
−0.999104 + 0.0423270i \(0.986523\pi\)
\(662\) 46.4472 52.9771i 1.80522 2.05901i
\(663\) −5.59080 7.87377i −0.217129 0.305792i
\(664\) 13.8217 17.4953i 0.536387 0.678950i
\(665\) −0.632953 + 6.80278i −0.0245449 + 0.263801i
\(666\) −0.683815 + 0.344847i −0.0264973 + 0.0133625i
\(667\) −70.9563 38.6781i −2.74744 1.49762i
\(668\) −15.9891 + 31.9595i −0.618636 + 1.23655i
\(669\) 13.1300 5.89961i 0.507634 0.228092i
\(670\) −4.36925 0.878184i −0.168799 0.0339272i
\(671\) −1.51552 1.46310i −0.0585059 0.0564824i
\(672\) 79.9648 53.3845i 3.08471 2.05935i
\(673\) 7.17410 21.8888i 0.276541 0.843752i −0.713210 0.700950i \(-0.752759\pi\)
0.989751 0.142802i \(-0.0456112\pi\)
\(674\) 7.21862 + 8.78516i 0.278051 + 0.338392i
\(675\) −24.4503 + 11.3643i −0.941092 + 0.437414i
\(676\) −44.7345 + 44.3073i −1.72056 + 1.70413i
\(677\) 5.90799 4.39725i 0.227063 0.169000i −0.477523 0.878619i \(-0.658465\pi\)
0.704585 + 0.709619i \(0.251133\pi\)
\(678\) −46.5123 + 13.4518i −1.78629 + 0.516612i
\(679\) 9.53018 24.2608i 0.365735 0.931042i
\(680\) −82.6720 179.367i −3.17033 6.87842i
\(681\) 0.424372 + 18.9469i 0.0162620 + 0.726046i
\(682\) 3.26450 0.677898i 0.125004 0.0259580i
\(683\) −34.6150 + 36.5507i −1.32451 + 1.39857i −0.466865 + 0.884329i \(0.654617\pi\)
−0.857643 + 0.514246i \(0.828072\pi\)
\(684\) −3.06466 + 3.27779i −0.117180 + 0.125329i
\(685\) −9.08821 0.640704i −0.347243 0.0244800i
\(686\) −0.220576 + 7.65875i −0.00842164 + 0.292412i
\(687\) −5.79361 + 6.52344i −0.221040 + 0.248885i
\(688\) −1.41219 + 1.81124i −0.0538394 + 0.0690528i
\(689\) 13.6559 + 1.57974i 0.520247 + 0.0601834i
\(690\) 81.1045 21.2228i 3.08759 0.807939i
\(691\) 1.25206 + 3.99203i 0.0476305 + 0.151864i 0.974959 0.222384i \(-0.0713837\pi\)
−0.927329 + 0.374248i \(0.877901\pi\)
\(692\) 98.3403 + 48.8061i 3.73834 + 1.85533i
\(693\) −0.919419 + 0.0530035i −0.0349258 + 0.00201344i
\(694\) −37.8567 + 41.5425i −1.43702 + 1.57693i
\(695\) 19.5003 + 35.5031i 0.739687 + 1.34671i
\(696\) 57.0110 100.721i 2.16100 3.81781i
\(697\) −8.84764 + 2.99417i −0.335128 + 0.113412i
\(698\) −52.6127 9.52793i −1.99142 0.360637i
\(699\) −17.5798 + 0.675224i −0.664930 + 0.0255393i
\(700\) −78.9004 62.7442i −2.98215 2.37151i
\(701\) −7.34376 4.44069i −0.277370 0.167723i 0.371917 0.928266i \(-0.378701\pi\)
−0.649287 + 0.760543i \(0.724933\pi\)
\(702\) −7.08872 15.6424i −0.267547 0.590383i
\(703\) −0.0994976 0.0431850i −0.00375262 0.00162875i
\(704\) −1.81581 + 3.93963i −0.0684361 + 0.148481i
\(705\) 7.97450 + 8.31325i 0.300337 + 0.313095i
\(706\) 45.8651 22.7628i 1.72616 0.856688i
\(707\) 29.6014 16.8806i 1.11327 0.634859i
\(708\) −13.9318 39.9024i −0.523587 1.49962i
\(709\) −18.8250 + 3.65852i −0.706990 + 0.137399i −0.531470 0.847077i \(-0.678360\pi\)
−0.175520 + 0.984476i \(0.556161\pi\)
\(710\) 75.8325 + 17.2718i 2.84594 + 0.648200i
\(711\) −2.41874 2.90554i −0.0907099 0.108966i
\(712\) 20.7622 0.398580i 0.778095 0.0149374i
\(713\) 45.7977 38.3734i 1.71514 1.43710i
\(714\) −58.5122 65.8831i −2.18976 2.46561i
\(715\) 0.584581 0.0374547i 0.0218621 0.00140073i
\(716\) −21.1794 41.0140i −0.791512 1.53276i
\(717\) −0.766126 4.47503i −0.0286115 0.167123i
\(718\) 0.562226 + 3.55712i 0.0209821 + 0.132751i
\(719\) 6.68661 0.171171i 0.249368 0.00638358i 0.0992934 0.995058i \(-0.468342\pi\)
0.150075 + 0.988675i \(0.452048\pi\)
\(720\) −15.6331 63.8993i −0.582609 2.38139i
\(721\) 22.7442 22.2405i 0.847037 0.828278i
\(722\) 50.6760 + 2.92142i 1.88597 + 0.108724i
\(723\) 18.5463 + 10.5763i 0.689745 + 0.393336i
\(724\) 21.8820 118.665i 0.813240 4.41016i
\(725\) −48.6041 10.0930i −1.80511 0.374844i
\(726\) 30.2634 21.0547i 1.12318 0.781412i
\(727\) 8.15301 5.07364i 0.302379 0.188171i −0.368717 0.929542i \(-0.620203\pi\)
0.671096 + 0.741371i \(0.265824\pi\)
\(728\) 25.4227 31.3466i 0.942229 1.16178i
\(729\) −24.0057 + 1.69236i −0.889101 + 0.0626801i
\(730\) 1.07552 + 25.8455i 0.0398067 + 0.956585i
\(731\) 0.954806 + 0.552616i 0.0353148 + 0.0204392i
\(732\) 24.6874 82.3906i 0.912472 3.04524i
\(733\) 0.476736 0.854959i 0.0176087 0.0315786i −0.864446 0.502725i \(-0.832331\pi\)
0.882055 + 0.471147i \(0.156160\pi\)
\(734\) −67.0244 14.3661i −2.47392 0.530261i
\(735\) −27.9366 11.0774i −1.03046 0.408597i
\(736\) 9.77181 + 160.564i 0.360194 + 5.91846i
\(737\) 0.0679248 0.0512342i 0.00250204 0.00188724i
\(738\) −5.41724 + 0.732302i −0.199411 + 0.0269564i
\(739\) 3.89573 + 17.3607i 0.143307 + 0.638623i 0.993662 + 0.112413i \(0.0358579\pi\)
−0.850355 + 0.526210i \(0.823613\pi\)
\(740\) 2.70702 1.78228i 0.0995121 0.0655177i
\(741\) 0.348937 0.720359i 0.0128185 0.0264631i
\(742\) 125.434 + 0.802581i 4.60482 + 0.0294637i
\(743\) −7.83864 8.38378i −0.287572 0.307571i 0.570298 0.821438i \(-0.306828\pi\)
−0.857870 + 0.513867i \(0.828213\pi\)
\(744\) 53.9002 + 66.4597i 1.97608 + 2.43653i
\(745\) −57.2105 19.7697i −2.09603 0.724306i
\(746\) −19.6902 7.51744i −0.720910 0.275233i
\(747\) −2.67473 2.36022i −0.0978632 0.0863560i
\(748\) 5.74056 + 1.74013i 0.209896 + 0.0636253i
\(749\) 60.1115 + 44.1454i 2.19643 + 1.61304i
\(750\) −1.10516 + 0.677973i −0.0403548 + 0.0247561i
\(751\) −0.000640873 0.200324i −2.33858e−5 0.00730991i 0.999977 + 0.00685411i \(0.00218175\pi\)
−1.00000 0.000455805i \(0.999855\pi\)
\(752\) −35.5177 + 22.7383i −1.29520 + 0.829182i
\(753\) −19.9255 + 19.2364i −0.726126 + 0.701012i
\(754\) 6.72555 30.8952i 0.244930 1.12514i
\(755\) 7.41976 30.3279i 0.270033 1.10375i
\(756\) −58.1836 98.3400i −2.11612 3.57659i
\(757\) −22.5679 + 22.9318i −0.820243 + 0.833470i −0.988334 0.152302i \(-0.951331\pi\)
0.168091 + 0.985771i \(0.446240\pi\)
\(758\) −13.9807 + 19.4252i −0.507803 + 0.705554i
\(759\) −0.725234 + 1.42674i −0.0263243 + 0.0517872i
\(760\) 9.73211 13.1634i 0.353021 0.477488i
\(761\) 8.41917 12.5241i 0.305195 0.454000i −0.645665 0.763620i \(-0.723420\pi\)
0.950860 + 0.309620i \(0.100202\pi\)
\(762\) −45.5476 21.5257i −1.65001 0.779793i
\(763\) 62.6598 17.6881i 2.26844 0.640353i
\(764\) 21.8078 + 46.5292i 0.788977 + 1.68337i
\(765\) −29.3735 + 11.6472i −1.06200 + 0.421105i
\(766\) −43.5619 + 7.31444i −1.57396 + 0.264281i
\(767\) −4.31472 5.83600i −0.155796 0.210726i
\(768\) −40.9459 + 1.83513i −1.47751 + 0.0662196i
\(769\) 40.5162 + 23.7970i 1.46105 + 0.858143i 0.999579 0.0290118i \(-0.00923603\pi\)
0.461472 + 0.887155i \(0.347322\pi\)
\(770\) 5.26550 0.918802i 0.189755