Properties

Label 983.2.c.a.492.6
Level $983$
Weight $2$
Character 983.492
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 492.6
Character \(\chi\) \(=\) 983.492
Dual form 983.2.c.a.2.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.805572 - 2.40575i) q^{2} +(-0.153383 + 0.0861729i) q^{3} +(-3.54199 + 2.67165i) q^{4} +(-0.680394 - 1.02626i) q^{5} +(0.330872 + 0.299584i) q^{6} +(1.03475 + 2.28334i) q^{7} +(5.09698 + 3.49786i) q^{8} +(-1.54443 + 2.53574i) q^{9} +O(q^{10})\) \(q+(-0.805572 - 2.40575i) q^{2} +(-0.153383 + 0.0861729i) q^{3} +(-3.54199 + 2.67165i) q^{4} +(-0.680394 - 1.02626i) q^{5} +(0.330872 + 0.299584i) q^{6} +(1.03475 + 2.28334i) q^{7} +(5.09698 + 3.49786i) q^{8} +(-1.54443 + 2.53574i) q^{9} +(-1.92082 + 2.46358i) q^{10} +(-2.29938 + 0.147324i) q^{11} +(0.313059 - 0.715010i) q^{12} +(3.73418 - 4.31455i) q^{13} +(4.65958 - 4.32875i) q^{14} +(0.192797 + 0.0987793i) q^{15} +(1.87110 - 6.54813i) q^{16} +(0.975206 + 0.430705i) q^{17} +(7.34452 + 1.67281i) q^{18} +(0.853792 - 0.652610i) q^{19} +(5.15175 + 1.81722i) q^{20} +(-0.355475 - 0.261058i) q^{21} +(2.20674 + 5.41307i) q^{22} +(-0.310345 + 2.92870i) q^{23} +(-1.08321 - 0.0972912i) q^{24} +(1.35635 - 3.20899i) q^{25} +(-13.3879 - 5.50785i) q^{26} +(0.0369481 - 1.04950i) q^{27} +(-9.76535 - 5.32307i) q^{28} +(-2.97208 - 4.30127i) q^{29} +(0.0823270 - 0.543395i) q^{30} +(4.90984 - 7.30375i) q^{31} +(-4.90937 + 0.220030i) q^{32} +(0.339992 - 0.220742i) q^{33} +(0.250572 - 2.69307i) q^{34} +(1.63926 - 2.61549i) q^{35} +(-1.30423 - 13.1077i) q^{36} +(1.22224 + 0.303170i) q^{37} +(-2.25781 - 1.52829i) q^{38} +(-0.200964 + 0.983565i) q^{39} +(0.121751 - 7.61073i) q^{40} +(-8.48523 + 0.762121i) q^{41} +(-0.341681 + 1.06549i) q^{42} +(3.51714 - 4.82143i) q^{43} +(7.75080 - 6.66496i) q^{44} +(3.65314 - 0.140314i) q^{45} +(7.29574 - 1.61267i) q^{46} +(1.40364 - 4.68444i) q^{47} +(0.277276 + 1.16561i) q^{48} +(0.471797 - 0.538126i) q^{49} +(-8.81267 - 0.677972i) q^{50} +(-0.186695 + 0.0179734i) q^{51} +(-1.69949 + 25.2585i) q^{52} +(1.18501 + 1.08683i) q^{53} +(-2.55460 + 0.756559i) q^{54} +(1.71568 + 2.25952i) q^{55} +(-2.71269 + 15.2575i) q^{56} +(-0.0747202 + 0.173673i) q^{57} +(-7.95357 + 10.6151i) q^{58} +(8.33995 - 0.641605i) q^{59} +(-0.946788 + 0.165210i) q^{60} +(1.43961 - 1.22200i) q^{61} +(-21.5263 - 5.92817i) q^{62} +(-7.38805 - 0.902607i) q^{63} +(-0.414558 - 1.07550i) q^{64} +(-6.96855 - 0.896645i) q^{65} +(-0.804938 - 0.640113i) q^{66} +(3.86849 + 3.32654i) q^{67} +(-4.60486 + 1.07985i) q^{68} +(-0.204773 - 0.475957i) q^{69} +(-7.61276 - 1.83668i) q^{70} +(-3.48116 - 2.84181i) q^{71} +(-16.7416 + 7.52240i) q^{72} +(-3.87349 + 2.76907i) q^{73} +(-0.255250 - 3.18464i) q^{74} +(0.0684865 + 0.609086i) q^{75} +(-1.28058 + 4.59257i) q^{76} +(-2.71568 - 5.09782i) q^{77} +(2.52811 - 0.308862i) q^{78} +(9.82431 + 1.45630i) q^{79} +(-7.99315 + 2.53508i) q^{80} +(-4.00209 - 7.75005i) q^{81} +(8.66894 + 19.7994i) q^{82} +(-2.89781 - 0.898693i) q^{83} +(1.95655 - 0.0250387i) q^{84} +(-0.221509 - 1.29386i) q^{85} +(-14.4325 - 4.57735i) q^{86} +(0.826521 + 0.403630i) q^{87} +(-12.2352 - 7.29200i) q^{88} +(-2.23128 + 1.46905i) q^{89} +(-3.28043 - 8.67553i) q^{90} +(13.7155 + 4.06192i) q^{91} +(-6.72522 - 11.2026i) q^{92} +(-0.123702 + 1.54337i) q^{93} +(-12.4004 + 0.396845i) q^{94} +(-1.25066 - 0.432179i) q^{95} +(0.734055 - 0.456804i) q^{96} +(2.47342 + 0.126717i) q^{97} +(-1.67466 - 0.701528i) q^{98} +(3.17767 - 6.05816i) 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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{154}{491}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.805572 2.40575i −0.569626 1.70113i −0.704005 0.710195i \(-0.748607\pi\)
0.134379 0.990930i \(-0.457096\pi\)
\(3\) −0.153383 + 0.0861729i −0.0885559 + 0.0497520i −0.533453 0.845830i \(-0.679106\pi\)
0.444897 + 0.895582i \(0.353240\pi\)
\(4\) −3.54199 + 2.67165i −1.77100 + 1.33582i
\(5\) −0.680394 1.02626i −0.304281 0.458956i 0.649109 0.760695i \(-0.275142\pi\)
−0.953391 + 0.301739i \(0.902433\pi\)
\(6\) 0.330872 + 0.299584i 0.135078 + 0.122305i
\(7\) 1.03475 + 2.28334i 0.391099 + 0.863020i 0.997685 + 0.0680028i \(0.0216627\pi\)
−0.606586 + 0.795018i \(0.707462\pi\)
\(8\) 5.09698 + 3.49786i 1.80205 + 1.23668i
\(9\) −1.54443 + 2.53574i −0.514811 + 0.845246i
\(10\) −1.92082 + 2.46358i −0.607416 + 0.779054i
\(11\) −2.29938 + 0.147324i −0.693290 + 0.0444198i −0.406604 0.913605i \(-0.633287\pi\)
−0.286686 + 0.958024i \(0.592554\pi\)
\(12\) 0.313059 0.715010i 0.0903722 0.206406i
\(13\) 3.73418 4.31455i 1.03568 1.19664i 0.0555107 0.998458i \(-0.482321\pi\)
0.980165 0.198182i \(-0.0635036\pi\)
\(14\) 4.65958 4.32875i 1.24533 1.15691i
\(15\) 0.192797 + 0.0987793i 0.0497799 + 0.0255047i
\(16\) 1.87110 6.54813i 0.467775 1.63703i
\(17\) 0.975206 + 0.430705i 0.236522 + 0.104461i 0.518878 0.854849i \(-0.326350\pi\)
−0.282356 + 0.959310i \(0.591116\pi\)
\(18\) 7.34452 + 1.67281i 1.73112 + 0.394284i
\(19\) 0.853792 0.652610i 0.195873 0.149719i −0.504711 0.863288i \(-0.668401\pi\)
0.700585 + 0.713569i \(0.252923\pi\)
\(20\) 5.15175 + 1.81722i 1.15197 + 0.406343i
\(21\) −0.355475 0.261058i −0.0775711 0.0569676i
\(22\) 2.20674 + 5.41307i 0.470479 + 1.15407i
\(23\) −0.310345 + 2.92870i −0.0647114 + 0.610676i 0.914040 + 0.405625i \(0.132946\pi\)
−0.978751 + 0.205052i \(0.934264\pi\)
\(24\) −1.08321 0.0972912i −0.221110 0.0198595i
\(25\) 1.35635 3.20899i 0.271270 0.641797i
\(26\) −13.3879 5.50785i −2.62558 1.08018i
\(27\) 0.0369481 1.04950i 0.00711067 0.201976i
\(28\) −9.76535 5.32307i −1.84548 1.00597i
\(29\) −2.97208 4.30127i −0.551901 0.798726i 0.443321 0.896363i \(-0.353800\pi\)
−0.995222 + 0.0976372i \(0.968872\pi\)
\(30\) 0.0823270 0.543395i 0.0150308 0.0992099i
\(31\) 4.90984 7.30375i 0.881833 1.31179i −0.0675642 0.997715i \(-0.521523\pi\)
0.949397 0.314077i \(-0.101695\pi\)
\(32\) −4.90937 + 0.220030i −0.867862 + 0.0388962i
\(33\) 0.339992 0.220742i 0.0591849 0.0384262i
\(34\) 0.250572 2.69307i 0.0429727 0.461858i
\(35\) 1.63926 2.61549i 0.277085 0.442098i
\(36\) −1.30423 13.1077i −0.217372 2.18462i
\(37\) 1.22224 + 0.303170i 0.200935 + 0.0498409i 0.339923 0.940453i \(-0.389599\pi\)
−0.138988 + 0.990294i \(0.544385\pi\)
\(38\) −2.25781 1.52829i −0.366265 0.247921i
\(39\) −0.200964 + 0.983565i −0.0321800 + 0.157496i
\(40\) 0.121751 7.61073i 0.0192505 1.20336i
\(41\) −8.48523 + 0.762121i −1.32517 + 0.119023i −0.729376 0.684113i \(-0.760189\pi\)
−0.595795 + 0.803137i \(0.703163\pi\)
\(42\) −0.341681 + 1.06549i −0.0527226 + 0.164408i
\(43\) 3.51714 4.82143i 0.536358 0.735262i −0.451216 0.892415i \(-0.649010\pi\)
0.987574 + 0.157153i \(0.0502316\pi\)
\(44\) 7.75080 6.66496i 1.16848 1.00478i
\(45\) 3.65314 0.140314i 0.544578 0.0209167i
\(46\) 7.29574 1.61267i 1.07570 0.237775i
\(47\) 1.40364 4.68444i 0.204742 0.683296i −0.792554 0.609802i \(-0.791249\pi\)
0.997296 0.0734942i \(-0.0234150\pi\)
\(48\) 0.277276 + 1.16561i 0.0400214 + 0.168242i
\(49\) 0.471797 0.538126i 0.0673995 0.0768751i
\(50\) −8.81267 0.677972i −1.24630 0.0958797i
\(51\) −0.186695 + 0.0179734i −0.0261426 + 0.00251678i
\(52\) −1.69949 + 25.2585i −0.235677 + 3.50273i
\(53\) 1.18501 + 1.08683i 0.162774 + 0.149288i 0.753171 0.657825i \(-0.228523\pi\)
−0.590396 + 0.807113i \(0.701029\pi\)
\(54\) −2.55460 + 0.756559i −0.347637 + 0.102955i
\(55\) 1.71568 + 2.25952i 0.231342 + 0.304674i
\(56\) −2.71269 + 15.2575i −0.362498 + 2.03887i
\(57\) −0.0747202 + 0.173673i −0.00989693 + 0.0230036i
\(58\) −7.95357 + 10.6151i −1.04436 + 1.39383i
\(59\) 8.33995 0.641605i 1.08577 0.0835298i 0.478547 0.878062i \(-0.341164\pi\)
0.607222 + 0.794532i \(0.292284\pi\)
\(60\) −0.946788 + 0.165210i −0.122230 + 0.0213285i
\(61\) 1.43961 1.22200i 0.184323 0.156461i −0.550226 0.835016i \(-0.685459\pi\)
0.734550 + 0.678555i \(0.237393\pi\)
\(62\) −21.5263 5.92817i −2.73384 0.752878i
\(63\) −7.38805 0.902607i −0.930807 0.113718i
\(64\) −0.414558 1.07550i −0.0518198 0.134438i
\(65\) −6.96855 0.896645i −0.864342 0.111215i
\(66\) −0.804938 0.640113i −0.0990810 0.0787924i
\(67\) 3.86849 + 3.32654i 0.472611 + 0.406401i 0.855831 0.517256i \(-0.173046\pi\)
−0.383220 + 0.923657i \(0.625185\pi\)
\(68\) −4.60486 + 1.07985i −0.558422 + 0.130951i
\(69\) −0.204773 0.475957i −0.0246518 0.0572985i
\(70\) −7.61276 1.83668i −0.909899 0.219525i
\(71\) −3.48116 2.84181i −0.413138 0.337260i 0.402915 0.915237i \(-0.367997\pi\)
−0.816053 + 0.577977i \(0.803842\pi\)
\(72\) −16.7416 + 7.52240i −1.97302 + 0.886523i
\(73\) −3.87349 + 2.76907i −0.453357 + 0.324095i −0.785202 0.619239i \(-0.787441\pi\)
0.331845 + 0.943334i \(0.392329\pi\)
\(74\) −0.255250 3.18464i −0.0296722 0.370206i
\(75\) 0.0684865 + 0.609086i 0.00790814 + 0.0703312i
\(76\) −1.28058 + 4.59257i −0.146893 + 0.526804i
\(77\) −2.71568 5.09782i −0.309480 0.580951i
\(78\) 2.52811 0.308862i 0.286252 0.0349717i
\(79\) 9.82431 + 1.45630i 1.10532 + 0.163846i 0.674273 0.738483i \(-0.264457\pi\)
0.431049 + 0.902329i \(0.358144\pi\)
\(80\) −7.99315 + 2.53508i −0.893662 + 0.283430i
\(81\) −4.00209 7.75005i −0.444677 0.861117i
\(82\) 8.66894 + 19.7994i 0.957325 + 2.18648i
\(83\) −2.89781 0.898693i −0.318076 0.0986444i 0.133037 0.991111i \(-0.457527\pi\)
−0.451113 + 0.892467i \(0.648973\pi\)
\(84\) 1.95655 0.0250387i 0.213477 0.00273195i
\(85\) −0.221509 1.29386i −0.0240261 0.140339i
\(86\) −14.4325 4.57735i −1.55630 0.493589i
\(87\) 0.826521 + 0.403630i 0.0886123 + 0.0432737i
\(88\) −12.2352 7.29200i −1.30428 0.777330i
\(89\) −2.23128 + 1.46905i −0.236515 + 0.155719i −0.662623 0.748954i \(-0.730557\pi\)
0.426108 + 0.904673i \(0.359885\pi\)
\(90\) −3.28043 8.67553i −0.345788 0.914481i
\(91\) 13.7155 + 4.06192i 1.43778 + 0.425805i
\(92\) −6.72522 11.2026i −0.701153 1.16795i
\(93\) −0.123702 + 1.54337i −0.0128273 + 0.160040i
\(94\) −12.4004 + 0.396845i −1.27900 + 0.0409314i
\(95\) −1.25066 0.432179i −0.128315 0.0443407i
\(96\) 0.734055 0.456804i 0.0749191 0.0466223i
\(97\) 2.47342 + 0.126717i 0.251137 + 0.0128662i 0.176327 0.984332i \(-0.443578\pi\)
0.0748103 + 0.997198i \(0.476165\pi\)
\(98\) −1.67466 0.701528i −0.169167 0.0708650i
\(99\) 3.17767 6.05816i 0.319368 0.608868i
\(100\) 3.76911 + 14.9899i 0.376911 + 1.49899i
\(101\) 0.767512 0.556131i 0.0763703 0.0553371i −0.547912 0.836536i \(-0.684577\pi\)
0.624282 + 0.781199i \(0.285392\pi\)
\(102\) 0.193636 + 0.434664i 0.0191728 + 0.0430382i
\(103\) −0.358905 + 0.139662i −0.0353640 + 0.0137613i −0.380262 0.924879i \(-0.624166\pi\)
0.344898 + 0.938640i \(0.387914\pi\)
\(104\) 34.1247 8.92951i 3.34620 0.875610i
\(105\) −0.0260500 + 0.542432i −0.00254222 + 0.0529359i
\(106\) 1.66004 3.72637i 0.161237 0.361938i
\(107\) 0.797803 + 3.78112i 0.0771265 + 0.365534i 0.999799 0.0200504i \(-0.00638266\pi\)
−0.922672 + 0.385585i \(0.874000\pi\)
\(108\) 2.67302 + 3.81603i 0.257212 + 0.367198i
\(109\) 8.45474 10.0252i 0.809817 0.960240i −0.189950 0.981794i \(-0.560833\pi\)
0.999768 + 0.0215536i \(0.00686126\pi\)
\(110\) 4.05375 5.94770i 0.386510 0.567091i
\(111\) −0.213596 + 0.0588228i −0.0202737 + 0.00558321i
\(112\) 16.8877 2.50333i 1.59574 0.236542i
\(113\) 11.5929 5.66136i 1.09056 0.532576i 0.196495 0.980505i \(-0.437044\pi\)
0.894069 + 0.447929i \(0.147838\pi\)
\(114\) 0.478008 + 0.0398520i 0.0447695 + 0.00373248i
\(115\) 3.21676 1.67417i 0.299964 0.156118i
\(116\) 22.0186 + 7.29471i 2.04437 + 0.677297i
\(117\) 5.17336 + 16.1324i 0.478277 + 1.49144i
\(118\) −8.26197 19.5470i −0.760576 1.79945i
\(119\) 0.0256492 + 2.67240i 0.00235126 + 0.244978i
\(120\) 0.637165 + 1.17785i 0.0581649 + 0.107523i
\(121\) −5.64460 + 0.726292i −0.513146 + 0.0660266i
\(122\) −4.09954 2.47894i −0.371155 0.224433i
\(123\) 1.23582 0.848094i 0.111430 0.0764701i
\(124\) 2.12245 + 38.9872i 0.190602 + 3.50115i
\(125\) −10.2670 + 1.92723i −0.918308 + 0.172377i
\(126\) 3.78016 + 18.5009i 0.336763 + 1.64820i
\(127\) 6.62416 15.9560i 0.587799 1.41587i −0.299241 0.954178i \(-0.596734\pi\)
0.887040 0.461692i \(-0.152757\pi\)
\(128\) −9.82730 + 8.12773i −0.868619 + 0.718397i
\(129\) −0.123993 + 1.04261i −0.0109170 + 0.0917967i
\(130\) 3.45656 + 17.4869i 0.303161 + 1.53370i
\(131\) −11.7208 + 6.00516i −1.02405 + 0.524673i −0.884990 0.465610i \(-0.845835\pi\)
−0.139064 + 0.990283i \(0.544409\pi\)
\(132\) −0.614503 + 1.69020i −0.0534856 + 0.147113i
\(133\) 2.37359 + 1.27421i 0.205816 + 0.110488i
\(134\) 4.88649 11.9864i 0.422128 1.03547i
\(135\) −1.10220 + 0.676154i −0.0948619 + 0.0581941i
\(136\) 3.46406 + 5.60642i 0.297040 + 0.480747i
\(137\) −7.27787 + 12.8577i −0.621791 + 1.09851i 0.364138 + 0.931345i \(0.381364\pi\)
−0.985929 + 0.167165i \(0.946539\pi\)
\(138\) −0.980076 + 0.876051i −0.0834296 + 0.0745744i
\(139\) 4.88838 + 9.31960i 0.414627 + 0.790478i 0.999791 0.0204367i \(-0.00650564\pi\)
−0.585164 + 0.810915i \(0.698970\pi\)
\(140\) 1.18144 + 13.6436i 0.0998499 + 1.15309i
\(141\) 0.188377 + 0.839471i 0.0158642 + 0.0706962i
\(142\) −4.03236 + 10.6641i −0.338388 + 0.894912i
\(143\) −7.95068 + 10.4709i −0.664869 + 0.875623i
\(144\) 13.7146 + 14.8578i 1.14288 + 1.23815i
\(145\) −2.39203 + 5.97668i −0.198647 + 0.496336i
\(146\) 9.78206 + 7.08798i 0.809569 + 0.586605i
\(147\) −0.0259939 + 0.123196i −0.00214394 + 0.0101610i
\(148\) −5.13913 + 2.19157i −0.422434 + 0.180146i
\(149\) 4.75168 18.3990i 0.389272 1.50730i −0.413214 0.910634i \(-0.635594\pi\)
0.802486 0.596671i \(-0.203510\pi\)
\(150\) 1.41014 0.655424i 0.115137 0.0535152i
\(151\) 0.557280 + 0.200593i 0.0453508 + 0.0163240i 0.361255 0.932467i \(-0.382348\pi\)
−0.315904 + 0.948791i \(0.602308\pi\)
\(152\) 6.63450 0.339896i 0.538129 0.0275692i
\(153\) −2.59830 + 1.80767i −0.210060 + 0.146142i
\(154\) −10.0764 + 10.6399i −0.811982 + 0.857389i
\(155\) −10.8362 0.0693345i −0.870381 0.00556908i
\(156\) −1.91593 4.02068i −0.153397 0.321912i
\(157\) 2.66983 2.89238i 0.213076 0.230837i −0.619152 0.785271i \(-0.712523\pi\)
0.832228 + 0.554434i \(0.187065\pi\)
\(158\) −4.41070 24.8080i −0.350897 1.97362i
\(159\) −0.275417 0.0645861i −0.0218420 0.00512201i
\(160\) 3.56611 + 4.88857i 0.281926 + 0.386475i
\(161\) −7.00834 + 2.32185i −0.552335 + 0.182987i
\(162\) −15.4208 + 15.8713i −1.21157 + 1.24696i
\(163\) 0.226979 + 0.0578450i 0.0177784 + 0.00453077i 0.255833 0.966721i \(-0.417650\pi\)
−0.238055 + 0.971252i \(0.576510\pi\)
\(164\) 28.0185 25.3690i 2.18788 1.98099i
\(165\) −0.457866 0.198728i −0.0356448 0.0154709i
\(166\) 0.172361 + 7.69538i 0.0133778 + 0.597277i
\(167\) 1.76133 9.55159i 0.136296 0.739124i −0.843191 0.537614i \(-0.819326\pi\)
0.979487 0.201510i \(-0.0645847\pi\)
\(168\) −0.898705 2.57401i −0.0693366 0.198589i
\(169\) −2.80612 19.3571i −0.215855 1.48901i
\(170\) −2.93427 + 1.57520i −0.225048 + 0.120812i
\(171\) 0.336223 + 3.17291i 0.0257116 + 0.242638i
\(172\) 0.423512 + 26.4740i 0.0322925 + 2.01863i
\(173\) 11.8997 + 2.23371i 0.904717 + 0.169826i 0.616146 0.787632i \(-0.288693\pi\)
0.288572 + 0.957458i \(0.406820\pi\)
\(174\) 0.305213 2.31356i 0.0231382 0.175390i
\(175\) 8.73068 0.223497i 0.659978 0.0168948i
\(176\) −3.33768 + 15.3323i −0.251587 + 1.15572i
\(177\) −1.22392 + 0.817089i −0.0919955 + 0.0614162i
\(178\) 5.33163 + 4.18448i 0.399622 + 0.313640i
\(179\) 10.4816 5.03589i 0.783434 0.376400i 0.00168922 0.999999i \(-0.499462\pi\)
0.781745 + 0.623598i \(0.214330\pi\)
\(180\) −12.5645 + 10.2569i −0.936505 + 0.764505i
\(181\) −4.55947 + 9.11363i −0.338903 + 0.677411i −0.997154 0.0753874i \(-0.975981\pi\)
0.658251 + 0.752798i \(0.271296\pi\)
\(182\) −1.27684 36.2683i −0.0946460 2.68839i
\(183\) −0.115509 + 0.311490i −0.00853869 + 0.0230260i
\(184\) −11.8260 + 13.8420i −0.871824 + 1.02044i
\(185\) −0.520474 1.46061i −0.0382660 0.107386i
\(186\) 3.81262 0.945699i 0.279555 0.0693420i
\(187\) −2.30582 0.846685i −0.168619 0.0619157i
\(188\) 7.54351 + 20.3423i 0.550167 + 1.48361i
\(189\) 2.43459 1.00160i 0.177091 0.0728560i
\(190\) −0.0322193 + 3.35693i −0.00233743 + 0.243538i
\(191\) 10.6260 5.61702i 0.768868 0.406433i −0.0364057 0.999337i \(-0.511591\pi\)
0.805273 + 0.592904i \(0.202019\pi\)
\(192\) 0.156266 + 0.129240i 0.0112775 + 0.00932712i
\(193\) 18.6651 17.7902i 1.34354 1.28057i 0.414767 0.909928i \(-0.363863\pi\)
0.928776 0.370641i \(-0.120862\pi\)
\(194\) −1.68767 6.05251i −0.121167 0.434545i
\(195\) 1.14613 0.462970i 0.0820758 0.0331540i
\(196\) −0.233417 + 3.16651i −0.0166726 + 0.226179i
\(197\) 8.31466 + 2.23266i 0.592395 + 0.159070i 0.543034 0.839711i \(-0.317275\pi\)
0.0493609 + 0.998781i \(0.484282\pi\)
\(198\) −17.1343 2.76440i −1.21768 0.196457i
\(199\) −11.7831 18.2764i −0.835283 1.29558i −0.953134 0.302548i \(-0.902163\pi\)
0.117851 0.993031i \(-0.462399\pi\)
\(200\) 18.1379 11.6118i 1.28254 0.821080i
\(201\) −0.880019 0.176877i −0.0620718 0.0124759i
\(202\) −1.95620 1.39844i −0.137638 0.0983940i
\(203\) 6.74589 11.2370i 0.473469 0.788683i
\(204\) 0.613255 0.562446i 0.0429364 0.0393791i
\(205\) 6.55543 + 8.18949i 0.457851 + 0.571979i
\(206\) 0.625117 + 0.750929i 0.0435540 + 0.0523197i
\(207\) −6.94711 5.31014i −0.482858 0.369080i
\(208\) −21.2652 32.5249i −1.47448 2.25519i
\(209\) −1.86705 + 1.62638i −0.129147 + 0.112499i
\(210\) 1.32594 0.374298i 0.0914987 0.0258290i
\(211\) −1.79919 + 10.9293i −0.123862 + 0.752402i 0.850258 + 0.526367i \(0.176446\pi\)
−0.974119 + 0.226035i \(0.927424\pi\)
\(212\) −7.10095 0.683616i −0.487695 0.0469509i
\(213\) 0.778839 + 0.135904i 0.0533652 + 0.00931196i
\(214\) 8.45375 4.96528i 0.577886 0.339420i
\(215\) −7.34107 0.329015i −0.500657 0.0224387i
\(216\) 3.85932 5.22003i 0.262594 0.355178i
\(217\) 21.7574 + 3.65326i 1.47699 + 0.248000i
\(218\) −30.9291 12.2640i −2.09478 0.830623i
\(219\) 0.355510 0.758518i 0.0240231 0.0512559i
\(220\) −12.1136 3.41952i −0.816696 0.230544i
\(221\) 5.49989 2.59924i 0.369963 0.174844i
\(222\) 0.313580 + 0.466474i 0.0210461 + 0.0313077i
\(223\) −8.46165 11.4450i −0.566634 0.766417i 0.423598 0.905850i \(-0.360767\pi\)
−0.990231 + 0.139434i \(0.955472\pi\)
\(224\) −5.58237 10.9821i −0.372988 0.733770i
\(225\) 6.04236 + 8.39541i 0.402824 + 0.559694i
\(226\) −22.9587 23.3289i −1.52719 1.55182i
\(227\) 3.48436 5.88916i 0.231265 0.390877i −0.722527 0.691342i \(-0.757020\pi\)
0.953793 + 0.300465i \(0.0971419\pi\)
\(228\) −0.199336 0.814776i −0.0132013 0.0539598i
\(229\) 4.45738 + 20.4759i 0.294552 + 1.35309i 0.852290 + 0.523069i \(0.175213\pi\)
−0.557739 + 0.830017i \(0.688331\pi\)
\(230\) −6.61898 6.39006i −0.436443 0.421348i
\(231\) 0.855834 + 0.547903i 0.0563097 + 0.0360494i
\(232\) −0.103396 32.3194i −0.00678827 2.12187i
\(233\) −9.86859 6.05399i −0.646513 0.396610i 0.160590 0.987021i \(-0.448660\pi\)
−0.807103 + 0.590411i \(0.798966\pi\)
\(234\) 34.6432 25.4417i 2.26469 1.66317i
\(235\) −5.76247 + 1.74677i −0.375902 + 0.113947i
\(236\) −27.8259 + 24.5540i −1.81131 + 1.59833i
\(237\) −1.63238 + 0.623219i −0.106034 + 0.0404824i
\(238\) 6.40846 2.21451i 0.415399 0.143546i
\(239\) 17.5379 21.6244i 1.13443 1.39877i 0.229448 0.973321i \(-0.426308\pi\)
0.904983 0.425448i \(-0.139883\pi\)
\(240\) 1.00756 1.07763i 0.0650378 0.0695608i
\(241\) −12.4175 + 0.0794526i −0.799881 + 0.00511799i −0.405805 0.913960i \(-0.633009\pi\)
−0.394076 + 0.919078i \(0.628935\pi\)
\(242\) 6.29441 + 12.9944i 0.404620 + 0.835314i
\(243\) 3.91304 + 2.57630i 0.251022 + 0.165270i
\(244\) −1.83434 + 8.17444i −0.117432 + 0.523315i
\(245\) −0.873263 0.118048i −0.0557907 0.00754179i
\(246\) −3.03585 2.28988i −0.193559 0.145997i
\(247\) 0.372501 6.12069i 0.0237017 0.389450i
\(248\) 50.5728 20.0531i 3.21138 1.27338i
\(249\) 0.521919 0.111868i 0.0330753 0.00708937i
\(250\) 12.9073 + 23.1473i 0.816327 + 1.46397i
\(251\) 6.68298 + 22.3035i 0.421826 + 1.40778i 0.860645 + 0.509206i \(0.170061\pi\)
−0.438819 + 0.898575i \(0.644603\pi\)
\(252\) 28.5799 16.5413i 1.80036 1.04200i
\(253\) 0.282135 6.77992i 0.0177377 0.426250i
\(254\) −43.7225 3.08237i −2.74340 0.193405i
\(255\) 0.145472 + 0.179369i 0.00910979 + 0.0112325i
\(256\) 25.5127 + 15.8766i 1.59454 + 0.992288i
\(257\) −20.5271 14.2810i −1.28044 0.890822i −0.282782 0.959184i \(-0.591257\pi\)
−0.997661 + 0.0683618i \(0.978223\pi\)
\(258\) 2.60815 0.541601i 0.162376 0.0337186i
\(259\) 0.572474 + 3.10449i 0.0355718 + 0.192904i
\(260\) 27.0781 15.4416i 1.67931 0.957648i
\(261\) 15.4971 0.893390i 0.959245 0.0552995i
\(262\) 23.8889 + 23.3598i 1.47586 + 1.44318i
\(263\) −6.47330 + 26.4593i −0.399161 + 1.63155i 0.327713 + 0.944777i \(0.393722\pi\)
−0.726874 + 0.686771i \(0.759027\pi\)
\(264\) 2.50505 + 0.0641269i 0.154175 + 0.00394674i
\(265\) 0.309096 1.95560i 0.0189876 0.120132i
\(266\) 1.15333 6.73674i 0.0707153 0.413056i
\(267\) 0.215648 0.417604i 0.0131975 0.0255569i
\(268\) −22.5895 1.44733i −1.37987 0.0884099i
\(269\) 15.0691 16.9673i 0.918777 1.03452i −0.0805097 0.996754i \(-0.525655\pi\)
0.999287 0.0377637i \(-0.0120234\pi\)
\(270\) 2.51456 + 2.10692i 0.153031 + 0.128223i
\(271\) −10.5931 0.203360i −0.643485 0.0123533i −0.303570 0.952809i \(-0.598179\pi\)
−0.339915 + 0.940456i \(0.610398\pi\)
\(272\) 4.64502 5.57988i 0.281646 0.338330i
\(273\) −2.45376 + 0.558875i −0.148508 + 0.0338246i
\(274\) 36.7954 + 7.15094i 2.22289 + 0.432004i
\(275\) −2.64601 + 7.57851i −0.159560 + 0.457001i
\(276\) 1.99689 + 1.13875i 0.120199 + 0.0685450i
\(277\) −5.44549 2.70258i −0.327188 0.162383i 0.273488 0.961875i \(-0.411823\pi\)
−0.600676 + 0.799493i \(0.705102\pi\)
\(278\) 18.4827 19.2678i 1.10852 1.15561i
\(279\) 10.9375 + 23.7302i 0.654810 + 1.42069i
\(280\) 17.5039 7.59721i 1.04606 0.454020i
\(281\) 2.06056 4.54694i 0.122923 0.271248i −0.839221 0.543790i \(-0.816989\pi\)
0.962144 + 0.272542i \(0.0878645\pi\)
\(282\) 1.86781 1.12944i 0.111226 0.0672574i
\(283\) 18.7171 14.8845i 1.11262 0.884791i 0.118486 0.992956i \(-0.462196\pi\)
0.994133 + 0.108165i \(0.0344975\pi\)
\(284\) 19.9226 + 0.765206i 1.18219 + 0.0454066i
\(285\) 0.229073 0.0414841i 0.0135691 0.00245730i
\(286\) 31.5953 + 10.6923i 1.86827 + 0.632249i
\(287\) −10.5203 18.5860i −0.620992 1.09710i
\(288\) 7.02425 12.7887i 0.413908 0.753581i
\(289\) −10.6849 11.7253i −0.628526 0.689721i
\(290\) 16.3054 + 0.939987i 0.957484 + 0.0551979i
\(291\) −0.390301 + 0.193705i −0.0228798 + 0.0113552i
\(292\) 6.32189 20.1566i 0.369961 1.17958i
\(293\) −7.15901 1.87332i −0.418234 0.109440i 0.0380475 0.999276i \(-0.487886\pi\)
−0.456281 + 0.889836i \(0.650819\pi\)
\(294\) 0.317318 0.0367081i 0.0185064 0.00214086i
\(295\) −6.33290 8.12239i −0.368716 0.472904i
\(296\) 5.16929 + 5.82047i 0.300459 + 0.338308i
\(297\) 0.0696583 + 2.41864i 0.00404198 + 0.140344i
\(298\) −48.0913 + 3.39036i −2.78585 + 0.196398i
\(299\) 11.4771 + 12.2753i 0.663739 + 0.709899i
\(300\) −1.86984 1.97440i −0.107955 0.113992i
\(301\) 14.6483 + 3.04183i 0.844315 + 0.175328i
\(302\) 0.0336479 1.50227i 0.00193622 0.0864460i
\(303\) −0.0698001 + 0.151440i −0.00400991 + 0.00870000i
\(304\) −2.67585 6.81184i −0.153470 0.390686i
\(305\) −2.23359 0.645973i −0.127895 0.0369883i
\(306\) 6.44193 + 4.79465i 0.368260 + 0.274092i
\(307\) −8.36341 8.28353i −0.477325 0.472766i 0.424153 0.905591i \(-0.360572\pi\)
−0.901478 + 0.432825i \(0.857517\pi\)
\(308\) 23.2385 + 10.8011i 1.32414 + 0.615450i
\(309\) 0.0430149 0.0523498i 0.00244703 0.00297807i
\(310\) 8.56250 + 26.1250i 0.486317 + 1.48380i
\(311\) 4.51643 + 3.01517i 0.256103 + 0.170975i 0.676669 0.736288i \(-0.263423\pi\)
−0.420566 + 0.907262i \(0.638168\pi\)
\(312\) −4.46468 + 4.31026i −0.252763 + 0.244021i
\(313\) −30.0982 + 6.04950i −1.70125 + 0.341938i −0.948600 0.316479i \(-0.897499\pi\)
−0.752654 + 0.658417i \(0.771227\pi\)
\(314\) −9.10910 4.09294i −0.514056 0.230978i
\(315\) 4.10047 + 8.19617i 0.231036 + 0.461802i
\(316\) −38.6883 + 21.0889i −2.17639 + 1.18635i
\(317\) 8.34040 + 4.20605i 0.468444 + 0.236235i 0.668734 0.743501i \(-0.266836\pi\)
−0.200291 + 0.979737i \(0.564189\pi\)
\(318\) 0.0664901 + 0.714614i 0.00372858 + 0.0400736i
\(319\) 7.46763 + 9.45241i 0.418107 + 0.529233i
\(320\) −0.821680 + 1.15721i −0.0459333 + 0.0646899i
\(321\) −0.448200 0.511211i −0.0250161 0.0285330i
\(322\) 11.2315 + 14.9899i 0.625908 + 0.835356i
\(323\) 1.11371 0.268696i 0.0619682 0.0149507i
\(324\) 34.8808 + 16.7584i 1.93782 + 0.931025i
\(325\) −8.78046 17.8350i −0.487053 0.989306i
\(326\) −0.0436870 0.592654i −0.00241960 0.0328240i
\(327\) −0.432915 + 2.26627i −0.0239403 + 0.125325i
\(328\) −45.9148 25.7956i −2.53522 1.42432i
\(329\) 12.1486 1.64225i 0.669773 0.0905399i
\(330\) −0.109246 + 1.26160i −0.00601381 + 0.0694489i
\(331\) −15.6851 + 6.57060i −0.862132 + 0.361153i −0.772647 0.634836i \(-0.781068\pi\)
−0.0894847 + 0.995988i \(0.528522\pi\)
\(332\) 12.6650 4.55877i 0.695083 0.250195i
\(333\) −2.65643 + 2.63106i −0.145571 + 0.144181i
\(334\) −24.3976 + 3.45717i −1.33498 + 0.189168i
\(335\) 0.781792 6.23342i 0.0427139 0.340568i
\(336\) −2.37457 + 1.83923i −0.129544 + 0.100338i
\(337\) 15.6309 + 24.9397i 0.851471 + 1.35855i 0.932248 + 0.361820i \(0.117844\pi\)
−0.0807767 + 0.996732i \(0.525740\pi\)
\(338\) −44.3079 + 22.3444i −2.41003 + 1.21537i
\(339\) −1.29030 + 1.86735i −0.0700792 + 0.101420i
\(340\) 4.24133 + 3.99105i 0.230018 + 0.216445i
\(341\) −10.2136 + 17.5175i −0.553096 + 0.948623i
\(342\) 7.36238 3.36488i 0.398112 0.181952i
\(343\) 18.5103 + 5.61101i 0.999464 + 0.302966i
\(344\) 34.7915 12.2723i 1.87583 0.661678i
\(345\) −0.349128 + 0.533988i −0.0187964 + 0.0287489i
\(346\) −4.21231 30.4272i −0.226455 1.63577i
\(347\) 2.12320 0.937723i 0.113979 0.0503396i −0.346233 0.938149i \(-0.612539\pi\)
0.460212 + 0.887809i \(0.347773\pi\)
\(348\) −4.00589 + 0.778518i −0.214738 + 0.0417329i
\(349\) −3.17983 + 21.9350i −0.170212 + 1.17415i 0.711611 + 0.702574i \(0.247966\pi\)
−0.881823 + 0.471580i \(0.843684\pi\)
\(350\) −7.57087 20.8238i −0.404680 1.11308i
\(351\) −4.39014 4.07844i −0.234328 0.217691i
\(352\) 11.2561 1.22920i 0.599952 0.0655166i
\(353\) −9.52924 + 9.55978i −0.507190 + 0.508816i −0.914561 0.404447i \(-0.867464\pi\)
0.407371 + 0.913263i \(0.366446\pi\)
\(354\) 2.95167 + 2.28623i 0.156880 + 0.121512i
\(355\) −0.547864 + 5.50612i −0.0290776 + 0.292234i
\(356\) 3.97838 11.1646i 0.210854 0.591720i
\(357\) −0.234222 0.407691i −0.0123964 0.0215773i
\(358\) −20.5588 21.1595i −1.08657 1.11831i
\(359\) −1.86856 0.972498i −0.0986187 0.0513265i 0.411647 0.911344i \(-0.364954\pi\)
−0.510265 + 0.860017i \(0.670453\pi\)
\(360\) 19.1108 + 12.0630i 1.00723 + 0.635776i
\(361\) −4.68296 + 17.2197i −0.246472 + 0.906301i
\(362\) 25.5981 + 3.62728i 1.34541 + 0.190646i
\(363\) 0.803201 0.597813i 0.0421571 0.0313770i
\(364\) −59.4323 + 22.2557i −3.11510 + 1.16652i
\(365\) 5.47727 + 2.09114i 0.286693 + 0.109455i
\(366\) 0.842418 + 0.0269597i 0.0440339 + 0.00140920i
\(367\) 1.66628 14.8191i 0.0869789 0.773548i −0.871891 0.489701i \(-0.837106\pi\)
0.958869 0.283847i \(-0.0916109\pi\)
\(368\) 18.5968 + 7.51207i 0.969426 + 0.391594i
\(369\) 11.1723 22.6934i 0.581609 1.18137i
\(370\) −3.09459 + 2.42876i −0.160880 + 0.126265i
\(371\) −1.25542 + 3.83039i −0.0651779 + 0.198864i
\(372\) −3.68519 5.79709i −0.191068 0.300565i
\(373\) 0.774196 + 18.6045i 0.0400863 + 0.963306i 0.895418 + 0.445226i \(0.146877\pi\)
−0.855332 + 0.518080i \(0.826647\pi\)
\(374\) −0.179408 + 6.22931i −0.00927695 + 0.322110i
\(375\) 1.40871 1.18034i 0.0727455 0.0609527i
\(376\) 23.5398 18.9668i 1.21397 0.978137i
\(377\) −29.6563 3.23856i −1.52738 0.166794i
\(378\) −4.37085 5.05017i −0.224812 0.259753i
\(379\) 6.05376 1.87744i 0.310961 0.0964378i −0.136779 0.990602i \(-0.543675\pi\)
0.447740 + 0.894164i \(0.352229\pi\)
\(380\) 5.58446 1.81055i 0.286477 0.0928794i
\(381\) 0.358943 + 3.01821i 0.0183892 + 0.154628i
\(382\) −22.0732 21.0385i −1.12936 1.07643i
\(383\) −7.49232 + 14.0645i −0.382839 + 0.718660i −0.997540 0.0701007i \(-0.977668\pi\)
0.614700 + 0.788761i \(0.289277\pi\)
\(384\) 0.806953 2.09351i 0.0411797 0.106834i
\(385\) −3.38395 + 6.25551i −0.172462 + 0.318810i
\(386\) −57.8350 30.5723i −2.94372 1.55609i
\(387\) 6.79391 + 16.3649i 0.345354 + 0.831876i
\(388\) −9.09937 + 6.15927i −0.461950 + 0.312690i
\(389\) −18.0805 + 6.63904i −0.916716 + 0.336613i −0.759165 0.650898i \(-0.774392\pi\)
−0.157551 + 0.987511i \(0.550360\pi\)
\(390\) −2.03708 2.38434i −0.103152 0.120736i
\(391\) −1.56406 + 2.72242i −0.0790977 + 0.137679i
\(392\) 4.28702 1.09254i 0.216527 0.0551815i
\(393\) 1.28030 1.93111i 0.0645825 0.0974116i
\(394\) −1.32683 21.8016i −0.0668448 1.09835i
\(395\) −5.18987 11.0731i −0.261130 0.557150i
\(396\) 4.93001 + 29.9476i 0.247743 + 1.50492i
\(397\) 0.386319 + 5.74162i 0.0193888 + 0.288164i 0.996980 + 0.0776534i \(0.0247428\pi\)
−0.977592 + 0.210510i \(0.932487\pi\)
\(398\) −34.4764 + 43.0702i −1.72814 + 2.15892i
\(399\) −0.473872 + 0.00909711i −0.0237233 + 0.000455425i
\(400\) −18.4750 14.8859i −0.923750 0.744294i
\(401\) 21.3023 + 21.3705i 1.06378 + 1.06719i 0.997590 + 0.0693868i \(0.0221043\pi\)
0.0661950 + 0.997807i \(0.478914\pi\)
\(402\) 0.283397 + 2.25960i 0.0141346 + 0.112698i
\(403\) −13.1781 48.4573i −0.656449 2.41383i
\(404\) −1.23273 + 4.02034i −0.0613309 + 0.200019i
\(405\) −5.23056 + 9.38026i −0.259908 + 0.466109i
\(406\) −32.4678 7.17674i −1.61135 0.356176i
\(407\) −2.85506 0.517039i −0.141520 0.0256287i
\(408\) −1.01445 0.561424i −0.0502228 0.0277946i
\(409\) −18.4765 + 20.5379i −0.913605 + 1.01553i 0.0862097 + 0.996277i \(0.472524\pi\)
−0.999815 + 0.0192548i \(0.993871\pi\)
\(410\) 14.4210 22.3680i 0.712204 1.10468i
\(411\) 0.00831571 2.59932i 0.000410184 0.128215i
\(412\) 0.898110 1.45355i 0.0442467 0.0716113i
\(413\) 10.0948 + 18.3790i 0.496731 + 0.904372i
\(414\) −7.17848 + 20.9907i −0.352803 + 1.03164i
\(415\) 1.04936 + 3.58536i 0.0515111 + 0.175999i
\(416\) −17.3832 + 22.0033i −0.852279 + 1.07880i
\(417\) −1.55289 1.00823i −0.0760455 0.0493730i
\(418\) 5.41672 + 3.18149i 0.264941 + 0.155612i
\(419\) 29.4680 + 25.0136i 1.43961 + 1.22199i 0.933030 + 0.359798i \(0.117154\pi\)
0.506576 + 0.862195i \(0.330911\pi\)
\(420\) −1.35692 1.99089i −0.0662108 0.0971452i
\(421\) −10.9227 1.12212i −0.532342 0.0546890i −0.167702 0.985838i \(-0.553635\pi\)
−0.364640 + 0.931149i \(0.618808\pi\)
\(422\) 27.7425 4.47590i 1.35049 0.217884i
\(423\) 9.71070 + 10.7941i 0.472150 + 0.524826i
\(424\) 2.23840 + 9.68458i 0.108706 + 0.470325i
\(425\) 2.70485 2.54524i 0.131204 0.123462i
\(426\) −0.300461 1.98318i −0.0145574 0.0960852i
\(427\) 4.27987 + 2.02266i 0.207117 + 0.0978832i
\(428\) −12.9276 11.2612i −0.624880 0.544332i
\(429\) 0.317191 2.29120i 0.0153141 0.110620i
\(430\) 5.12223 + 17.9259i 0.247016 + 0.864462i
\(431\) −2.13369 + 10.7945i −0.102776 + 0.519951i 0.894556 + 0.446956i \(0.147492\pi\)
−0.997332 + 0.0729948i \(0.976744\pi\)
\(432\) −6.80312 2.20566i −0.327315 0.106120i
\(433\) −22.2082 0.284207i −1.06726 0.0136581i −0.522807 0.852451i \(-0.675115\pi\)
−0.544450 + 0.838793i \(0.683262\pi\)
\(434\) −8.73829 55.2859i −0.419452 2.65381i
\(435\) −0.148131 1.12285i −0.00710232 0.0538366i
\(436\) −3.16280 + 58.0973i −0.151471 + 2.78235i
\(437\) 1.64633 + 2.70304i 0.0787546 + 0.129304i
\(438\) −2.11120 0.244228i −0.100877 0.0116697i
\(439\) 14.7453 + 5.73792i 0.703757 + 0.273856i 0.687679 0.726015i \(-0.258630\pi\)
0.0160777 + 0.999871i \(0.494882\pi\)
\(440\) 0.841290 + 17.5179i 0.0401069 + 0.835134i
\(441\) 0.635887 + 2.02745i 0.0302804 + 0.0965453i
\(442\) −10.6837 11.1375i −0.508171 0.529758i
\(443\) 7.73972 19.7028i 0.367725 0.936110i −0.620652 0.784086i \(-0.713132\pi\)
0.988377 0.152023i \(-0.0485789\pi\)
\(444\) 0.599403 0.779004i 0.0284464 0.0369699i
\(445\) 3.02577 + 1.29033i 0.143435 + 0.0611677i
\(446\) −20.7175 + 29.5765i −0.981002 + 1.40049i
\(447\) 0.856668 + 3.23157i 0.0405190 + 0.152848i
\(448\) 2.02677 2.05945i 0.0957559 0.0973000i
\(449\) 24.4884 + 3.79030i 1.15568 + 0.178875i 0.701925 0.712251i \(-0.252324\pi\)
0.453756 + 0.891126i \(0.350084\pi\)
\(450\) 15.3297 21.2995i 0.722651 1.00407i
\(451\) 19.3985 3.00248i 0.913441 0.141381i
\(452\) −25.9366 + 51.0245i −1.21996 + 2.39999i
\(453\) −0.102763 + 0.0172549i −0.00482824 + 0.000810705i
\(454\) −16.9748 3.63838i −0.796666 0.170758i
\(455\) −5.16336 16.8394i −0.242062 0.789441i
\(456\) −0.988332 + 0.623849i −0.0462829 + 0.0292144i
\(457\) −18.5792 + 1.54897i −0.869098 + 0.0724575i −0.509317 0.860579i \(-0.670102\pi\)
−0.359781 + 0.933037i \(0.617149\pi\)
\(458\) 45.6692 27.2182i 2.13398 1.27182i
\(459\) 0.488056 1.00756i 0.0227805 0.0470290i
\(460\) −6.92092 + 14.5240i −0.322690 + 0.677183i
\(461\) −7.71575 19.2784i −0.359358 0.897885i −0.992319 0.123702i \(-0.960523\pi\)
0.632961 0.774183i \(-0.281839\pi\)
\(462\) 0.628684 2.50030i 0.0292490 0.116325i
\(463\) 16.8573 + 15.0681i 0.783424 + 0.700272i 0.958754 0.284238i \(-0.0917406\pi\)
−0.175329 + 0.984510i \(0.556099\pi\)
\(464\) −33.7263 + 11.4135i −1.56571 + 0.529857i
\(465\) 1.66806 0.923148i 0.0773544 0.0428100i
\(466\) −6.61456 + 28.6183i −0.306414 + 1.32572i
\(467\) 6.93191 + 11.8890i 0.320771 + 0.550158i 0.979304 0.202393i \(-0.0648719\pi\)
−0.658534 + 0.752551i \(0.728823\pi\)
\(468\) −61.4242 43.3196i −2.83934 2.00245i
\(469\) −3.59269 + 12.2752i −0.165895 + 0.566816i
\(470\) 8.84439 + 12.4559i 0.407961 + 0.574550i
\(471\) −0.160263 + 0.673711i −0.00738451 + 0.0310429i
\(472\) 44.7528 + 25.9017i 2.05991 + 1.19222i
\(473\) −7.37693 + 11.6045i −0.339192 + 0.533575i
\(474\) 2.81431 + 3.42505i 0.129266 + 0.157318i
\(475\) −0.936177 3.62498i −0.0429547 0.166325i
\(476\) −7.23055 9.39708i −0.331412 0.430714i
\(477\) −4.58610 + 1.32634i −0.209983 + 0.0607290i
\(478\) −66.1511 24.7718i −3.02568 1.13303i
\(479\) −11.2203 9.90093i −0.512667 0.452385i 0.365450 0.930831i \(-0.380915\pi\)
−0.878117 + 0.478446i \(0.841200\pi\)
\(480\) −0.968244 0.442523i −0.0441941 0.0201983i
\(481\) 5.87211 4.14132i 0.267745 0.188828i
\(482\) 10.1943 + 29.8094i 0.464339 + 1.35778i
\(483\) 0.874882 0.960062i 0.0398085 0.0436844i
\(484\) 18.0527 17.6529i 0.820579 0.802405i
\(485\) −1.55285 2.62458i −0.0705114 0.119176i
\(486\) 3.04572 11.4892i 0.138157 0.521161i
\(487\) −4.14614 4.91628i −0.187880 0.222778i 0.662344 0.749200i \(-0.269562\pi\)
−0.850224 + 0.526422i \(0.823533\pi\)
\(488\) 11.6120 1.19294i 0.525652 0.0540018i
\(489\) −0.0397994 + 0.0106870i −0.00179979 + 0.000483282i
\(490\) 0.419483 + 2.19595i 0.0189503 + 0.0992030i
\(491\) 11.4843 34.2966i 0.518279 1.54778i −0.288830 0.957380i \(-0.593266\pi\)
0.807109 0.590403i \(-0.201031\pi\)
\(492\) −2.11145 + 6.30562i −0.0951915 + 0.284279i
\(493\) −1.04581 5.47471i −0.0471009 0.246569i
\(494\) −15.0250 + 4.03451i −0.676005 + 0.181521i
\(495\) −8.37930 + 0.860830i −0.376622 + 0.0386914i
\(496\) −38.6391 45.8163i −1.73495 2.05721i
\(497\) 2.88667 10.8892i 0.129485 0.488449i
\(498\) −0.689571 1.16549i −0.0309004 0.0522269i
\(499\) −13.8162 + 13.5103i −0.618500 + 0.604802i −0.939613 0.342239i \(-0.888815\pi\)
0.321113 + 0.947041i \(0.395943\pi\)
\(500\) 31.2167 34.2561i 1.39605 1.53198i
\(501\) 0.552930 + 1.61683i 0.0247031 + 0.0722348i
\(502\) 48.2730 34.0446i 2.15453 1.51949i
\(503\) 10.4844 + 4.79176i 0.467477 + 0.213654i 0.635457 0.772137i \(-0.280812\pi\)
−0.167980 + 0.985790i \(0.553724\pi\)
\(504\) −34.4995 30.4429i −1.53673 1.35604i
\(505\) −1.09294 0.409277i −0.0486354 0.0182126i
\(506\) −16.5381 + 4.78297i −0.735209 + 0.212629i
\(507\) 2.09847 + 2.72724i 0.0931963 + 0.121121i
\(508\) 19.1662 + 74.2136i 0.850363 + 3.29270i
\(509\) 20.7992 + 25.3129i 0.921908 + 1.12197i 0.992226 + 0.124450i \(0.0397167\pi\)
−0.0703182 + 0.997525i \(0.522401\pi\)
\(510\) 0.314329 0.494463i 0.0139187 0.0218952i
\(511\) −10.3308 5.97919i −0.457008 0.264504i
\(512\) 11.7403 49.3537i 0.518852 2.18114i
\(513\) −0.653368 0.920167i −0.0288469 0.0406264i
\(514\) −17.8205 + 60.8874i −0.786027 + 2.68563i
\(515\) 0.387526 + 0.273304i 0.0170764 + 0.0120432i
\(516\) −2.34631 4.02418i −0.103290 0.177155i
\(517\) −2.53738 + 10.9781i −0.111594 + 0.482817i
\(518\) 7.00748 3.87812i 0.307891 0.170395i
\(519\) −2.01770 + 0.682818i −0.0885672 + 0.0299724i
\(520\) −32.3822 28.9452i −1.42005 1.26933i
\(521\) −6.48720 + 25.7998i −0.284209 + 1.13031i 0.646016 + 0.763324i \(0.276434\pi\)
−0.930226 + 0.366988i \(0.880389\pi\)
\(522\) −14.6333 36.5625i −0.640482 1.60030i
\(523\) −3.75009 + 7.86978i −0.163980 + 0.344122i −0.968187 0.250228i \(-0.919495\pi\)
0.804207 + 0.594349i \(0.202590\pi\)
\(524\) 25.4714 52.5842i 1.11272 2.29715i
\(525\) −1.31988 + 0.786629i −0.0576044 + 0.0343313i
\(526\) 68.8692 5.74169i 3.00284 0.250350i
\(527\) 7.93387 5.00797i 0.345605 0.218150i
\(528\) −0.809287 2.63934i −0.0352197 0.114862i
\(529\) 14.0082 + 3.00253i 0.609054 + 0.130545i
\(530\) −4.95370 + 0.831771i −0.215175 + 0.0361298i
\(531\) −11.2536 + 22.1388i −0.488363 + 0.960744i
\(532\) −11.8115 + 1.82817i −0.512092 + 0.0792612i
\(533\) −28.3972 + 39.4558i −1.23002 + 1.70902i
\(534\) −1.17837 0.182387i −0.0509931 0.00789267i
\(535\) 3.33758 3.39140i 0.144296 0.146623i
\(536\) 8.08184 + 30.4867i 0.349082 + 1.31683i
\(537\) −1.17375 + 1.67565i −0.0506511 + 0.0723099i
\(538\) −52.9585 22.5840i −2.28320 0.973667i
\(539\) −1.00556 + 1.30686i −0.0433126 + 0.0562906i
\(540\) 2.09752 5.33961i 0.0902629 0.229780i
\(541\) −5.76528 6.01018i −0.247869 0.258398i 0.586063 0.810265i \(-0.300677\pi\)
−0.833932 + 0.551868i \(0.813915\pi\)
\(542\) 8.04427 + 25.6482i 0.345531 + 1.10169i
\(543\) −0.0860015 1.79078i −0.00369068 0.0768498i
\(544\) −4.88241 1.89992i −0.209332 0.0814582i
\(545\) −16.0410 1.85566i −0.687120 0.0794877i
\(546\) 3.32119 + 5.45293i 0.142134 + 0.233364i
\(547\) −0.623106 + 11.4458i −0.0266421 + 0.489387i 0.954754 + 0.297395i \(0.0961180\pi\)
−0.981397 + 0.191992i \(0.938505\pi\)
\(548\) −8.57318 64.9859i −0.366228 2.77606i
\(549\) 0.875281 + 5.53777i 0.0373561 + 0.236346i
\(550\) 20.3636 + 0.260601i 0.868306 + 0.0111121i
\(551\) −5.34459 1.73278i −0.227687 0.0738190i
\(552\) 0.621106 3.14221i 0.0264360 0.133741i
\(553\) 6.84050 + 23.9391i 0.290887 + 1.01800i
\(554\) −2.11502 + 15.2776i −0.0898586 + 0.649084i
\(555\) 0.205697 + 0.179182i 0.00873135 + 0.00760586i
\(556\) −42.2133 19.9499i −1.79024 0.846065i
\(557\) 1.23769 + 8.16929i 0.0524425 + 0.346144i 0.999673 + 0.0255893i \(0.00814622\pi\)
−0.947230 + 0.320554i \(0.896131\pi\)
\(558\) 48.2782 45.4293i 2.04378 1.92318i
\(559\) −7.66866 33.1790i −0.324350 1.40332i
\(560\) −14.0594 15.6279i −0.594116 0.660399i
\(561\) 0.426636 0.0688323i 0.0180126 0.00290610i
\(562\) −12.5987 1.29431i −0.531446 0.0545970i
\(563\) −15.7770 23.1481i −0.664920 0.975578i −0.999449 0.0331924i \(-0.989433\pi\)
0.334529 0.942385i \(-0.391423\pi\)
\(564\) −2.91000 2.47012i −0.122533 0.104011i
\(565\) −13.6977 8.04531i −0.576267 0.338469i
\(566\) −50.8864 33.0383i −2.13892 1.38870i
\(567\) 13.5548 17.1575i 0.569249 0.720547i
\(568\) −7.80319 26.6612i −0.327414 1.11868i
\(569\) −10.2358 + 29.9307i −0.429108 + 1.25476i 0.493744 + 0.869607i \(0.335628\pi\)
−0.922852 + 0.385155i \(0.874148\pi\)
\(570\) −0.284335 0.517674i −0.0119095 0.0216830i
\(571\) −8.11811 + 13.1388i −0.339732 + 0.549842i −0.974931 0.222507i \(-0.928576\pi\)
0.635199 + 0.772349i \(0.280918\pi\)
\(572\) 0.186607 58.3294i 0.00780241 2.43887i
\(573\) −1.14581 + 1.77723i −0.0478669 + 0.0742448i
\(574\) −36.2386 + 40.2816i −1.51257 + 1.68132i
\(575\) 8.97722 + 4.96823i 0.374376 + 0.207190i
\(576\) 3.36745 + 0.609830i 0.140310 + 0.0254096i
\(577\) −44.9124 9.92754i −1.86973 0.413289i −0.872562 0.488503i \(-0.837543\pi\)
−0.997167 + 0.0752141i \(0.976036\pi\)
\(578\) −19.6006 + 35.1509i −0.815277 + 1.46208i
\(579\) −1.32988 + 4.33715i −0.0552679 + 0.180246i
\(580\) −7.49504 27.5600i −0.311215 1.14437i
\(581\) −0.946490 7.54660i −0.0392670 0.313086i
\(582\) 0.780423 + 0.782923i 0.0323496 + 0.0324532i
\(583\) −2.88492 2.32447i −0.119481 0.0962696i
\(584\) −29.4289 + 0.564959i −1.21778 + 0.0233782i
\(585\) 13.0361 16.2856i 0.538977 0.673327i
\(586\) 1.26036 + 18.7319i 0.0520649 + 0.773808i
\(587\) −2.59166 15.7431i −0.106969 0.649788i −0.985181 0.171517i \(-0.945133\pi\)
0.878212 0.478271i \(-0.158736\pi\)
\(588\) −0.237065 0.505804i −0.00977641 0.0208590i
\(589\) −0.574518 9.44010i −0.0236726 0.388972i
\(590\) −14.4389 + 21.7786i −0.594439 + 0.896610i
\(591\) −1.46773 + 0.374046i −0.0603741 + 0.0153862i
\(592\) 4.27213 7.43613i 0.175583 0.305623i
\(593\) −16.7347 19.5875i −0.687212 0.804361i 0.301615 0.953430i \(-0.402474\pi\)
−0.988827 + 0.149069i \(0.952372\pi\)
\(594\) 5.76254 2.11597i 0.236440 0.0868194i
\(595\) 2.72511 1.84460i 0.111719 0.0756214i
\(596\) 32.3253 + 77.8639i 1.32409 + 3.18943i
\(597\) 3.38226 + 1.78791i 0.138427 + 0.0731742i
\(598\) 20.2857 37.4998i 0.829544 1.53348i
\(599\) 0.329474 0.854765i 0.0134619 0.0349248i −0.926188 0.377061i \(-0.876935\pi\)
0.939650 + 0.342136i \(0.111151\pi\)
\(600\) −1.78142 + 3.34405i −0.0727262 + 0.136520i
\(601\) 28.2890 + 26.9630i 1.15393 + 1.09984i 0.993620 + 0.112777i \(0.0359746\pi\)
0.160310 + 0.987067i \(0.448750\pi\)
\(602\) −4.48238 37.6907i −0.182688 1.53616i
\(603\) −14.4099 + 4.67185i −0.586815 + 0.190253i
\(604\) −2.50980 + 0.778359i −0.102122 + 0.0316710i
\(605\) 4.58591 + 5.29865i 0.186444 + 0.215421i
\(606\) 0.420557 + 0.0459261i 0.0170839 + 0.00186562i
\(607\) −8.91348 + 7.18187i −0.361787 + 0.291503i −0.791142 0.611633i \(-0.790513\pi\)
0.429355 + 0.903136i \(0.358741\pi\)
\(608\) −4.04799 + 3.39176i −0.164168 + 0.137554i
\(609\) −0.0663819 + 2.30488i −0.00268993 + 0.0933985i
\(610\) 0.245262 + 5.89384i 0.00993037 + 0.238634i
\(611\) −14.9698 23.5486i −0.605613 0.952676i
\(612\) 4.37368 13.3445i 0.176795 0.539419i
\(613\) 11.4455 8.98293i 0.462281 0.362817i −0.359003 0.933336i \(-0.616883\pi\)
0.821284 + 0.570519i \(0.193258\pi\)
\(614\) −13.1908 + 26.7933i −0.532337 + 1.08129i
\(615\) −1.71121 0.691231i −0.0690025 0.0278731i
\(616\) 3.98971 35.4825i 0.160750 1.42963i
\(617\) −6.00713 0.192244i −0.241838 0.00773947i −0.0891677 0.996017i \(-0.528421\pi\)
−0.152670 + 0.988277i \(0.548787\pi\)
\(618\) −0.160592 0.0613118i −0.00645997 0.00246632i
\(619\) 28.0832 10.5164i 1.12876 0.422688i 0.284527 0.958668i \(-0.408164\pi\)
0.844231 + 0.535980i \(0.180058\pi\)
\(620\) 38.5668 28.7048i 1.54888 1.15281i
\(621\) 3.06220 + 0.433917i 0.122882 + 0.0174125i
\(622\) 3.61545 13.2944i 0.144966 0.533055i
\(623\) −5.66315 3.57466i −0.226889 0.143216i
\(624\) 6.06449 + 3.15629i 0.242774 + 0.126353i
\(625\) −3.17527 3.26804i −0.127011 0.130722i
\(626\) 38.7999 + 67.5357i 1.55076 + 2.69927i
\(627\) 0.146224 0.410349i 0.00583963 0.0163878i
\(628\) −1.72909 + 17.3777i −0.0689983 + 0.693444i
\(629\) 1.06136 + 0.822078i 0.0423191 + 0.0327784i
\(630\) 16.4147 16.4673i 0.653979 0.656075i
\(631\) −28.4806 + 3.11017i −1.13380 + 0.123814i −0.656073 0.754697i \(-0.727784\pi\)
−0.477722 + 0.878511i \(0.658537\pi\)
\(632\) 44.9804 + 41.7867i 1.78922 + 1.66219i
\(633\) −0.665842 1.83141i −0.0264648 0.0727920i
\(634\) 3.39992 23.4532i 0.135028 0.931447i
\(635\) −20.8820 + 4.05829i −0.828678 + 0.161048i
\(636\) 1.14808 0.507054i 0.0455242 0.0201060i
\(637\) −0.559992 4.04505i −0.0221877 0.160271i
\(638\) 16.7245 25.5799i 0.662128 1.01272i
\(639\) 12.5825 4.43834i 0.497756 0.175578i
\(640\) 15.0276 + 4.55529i 0.594017 + 0.180063i
\(641\) −30.2014 + 13.8031i −1.19288 + 0.545191i −0.910259 0.414039i \(-0.864118\pi\)
−0.282625 + 0.959230i \(0.591205\pi\)
\(642\) −0.868791 + 1.49008i −0.0342885 + 0.0588086i
\(643\) 27.7589 + 26.1208i 1.09470 + 1.03011i 0.999399 + 0.0346568i \(0.0110338\pi\)
0.0953033 + 0.995448i \(0.469618\pi\)
\(644\) 18.6203 26.9478i 0.733743 1.06189i
\(645\) 1.15435 0.582136i 0.0454525 0.0229216i
\(646\) −1.54359 2.46285i −0.0607316 0.0968995i
\(647\) −11.3517 + 8.79249i −0.446281 + 0.345668i −0.810594 0.585608i \(-0.800856\pi\)
0.364313 + 0.931277i \(0.381304\pi\)
\(648\) 6.71001 53.5006i 0.263594 2.10170i
\(649\) −19.0822 + 2.70397i −0.749042 + 0.106140i
\(650\) −35.8333 + 35.4910i −1.40550 + 1.39207i
\(651\) −3.65203 + 1.31455i −0.143134 + 0.0515212i
\(652\) −0.958499 + 0.401521i −0.0375377 + 0.0157248i
\(653\) −0.785192 + 9.06758i −0.0307269 + 0.354842i 0.964983 + 0.262312i \(0.0844851\pi\)
−0.995710 + 0.0925296i \(0.970505\pi\)
\(654\) 5.80083 0.784156i 0.226830 0.0306629i
\(655\) 14.1376 + 7.94272i 0.552403 + 0.310348i
\(656\) −10.8862 + 56.9884i −0.425036 + 2.22502i
\(657\) −1.03928 14.0988i −0.0405462 0.550046i
\(658\) −13.7374 27.9036i −0.535540 1.08779i
\(659\) 1.41026 + 0.677560i 0.0549360 + 0.0263940i 0.460327 0.887749i \(-0.347732\pi\)
−0.405391 + 0.914143i \(0.632865\pi\)
\(660\) 2.15269 0.519365i 0.0837933 0.0202162i
\(661\) −5.39805 7.20440i −0.209960 0.280219i 0.682939 0.730475i \(-0.260701\pi\)
−0.892899 + 0.450256i \(0.851333\pi\)
\(662\) 28.4427 + 32.4414i 1.10546 + 1.26087i
\(663\) −0.619608 + 0.872622i −0.0240636 + 0.0338898i
\(664\) −11.6266 14.7167i −0.451199 0.571120i
\(665\) −0.307311 3.30288i −0.0119170 0.128080i
\(666\) 8.46962 + 4.27121i 0.328191 + 0.165506i
\(667\) 13.5195 7.36945i 0.523477 0.285346i
\(668\) 19.2799 + 38.5373i 0.745961 + 1.49105i
\(669\) 2.28413 + 1.02631i 0.0883095 + 0.0396796i
\(670\) −15.6259 + 3.14067i −0.603680 + 0.121335i
\(671\) −3.13019 + 3.02193i −0.120840 + 0.116660i
\(672\) 1.80260 + 1.20342i 0.0695368 + 0.0464228i
\(673\) 10.4561 + 31.9027i 0.403055 + 1.22976i 0.926043 + 0.377417i \(0.123188\pi\)
−0.522988 + 0.852340i \(0.675183\pi\)
\(674\) 47.4069 57.6949i 1.82605 2.22233i
\(675\) −3.31771 1.54205i −0.127699 0.0593536i
\(676\) 61.6546 + 61.0657i 2.37133 + 2.34868i
\(677\) 29.6324 + 22.0551i 1.13887 + 0.847645i 0.989980 0.141209i \(-0.0450990\pi\)
0.148887 + 0.988854i \(0.452431\pi\)
\(678\) 5.53181 + 1.59985i 0.212448 + 0.0614418i
\(679\) 2.27003 + 5.77877i 0.0871158 + 0.221769i
\(680\) 3.39671 7.36959i 0.130258 0.282611i
\(681\) −0.0269572 + 1.20356i −0.00103300 + 0.0461204i
\(682\) 50.3705 + 10.4598i 1.92878 + 0.400526i
\(683\) −20.7597 21.9206i −0.794348 0.838768i 0.195529 0.980698i \(-0.437358\pi\)
−0.989877 + 0.141930i \(0.954669\pi\)
\(684\) −9.66779 10.3401i −0.369657 0.395365i
\(685\) 18.1472 1.27935i 0.693367 0.0488813i
\(686\) −1.41271 49.0514i −0.0539374 1.87279i
\(687\) −2.44816 2.75656i −0.0934030 0.105169i
\(688\) −24.9905 32.0520i −0.952753 1.22197i
\(689\) 9.11425 1.05436i 0.347225 0.0401678i
\(690\) 1.56589 + 0.409751i 0.0596125 + 0.0155990i
\(691\) 8.98371 28.6435i 0.341756 1.08965i −0.612452 0.790508i \(-0.709817\pi\)
0.954209 0.299142i \(-0.0967005\pi\)
\(692\) −48.1163 + 23.8800i −1.82911 + 0.907783i
\(693\) 17.1209 + 0.987003i 0.650370 + 0.0374932i
\(694\) −3.96632 4.35249i −0.150559 0.165218i
\(695\) 6.23829 11.3577i 0.236632 0.430823i
\(696\) 2.80092 + 4.94835i 0.106168 + 0.187567i
\(697\) −8.60310 2.91141i −0.325866 0.110277i
\(698\) 55.3318 10.0203i 2.09434 0.379276i
\(699\) 2.03537 + 0.0781764i 0.0769846 + 0.00295690i
\(700\) −30.3269 + 24.1169i −1.14625 + 0.911535i
\(701\) 2.40487 1.45420i 0.0908308 0.0549244i −0.471298 0.881974i \(-0.656215\pi\)
0.562129 + 0.827049i \(0.309982\pi\)
\(702\) −6.27514 + 13.8471i −0.236840 + 0.522624i
\(703\) 1.24139 0.538802i 0.0468200 0.0203213i
\(704\) 1.11168 + 2.41192i 0.0418978 + 0.0909025i
\(705\) 0.733343 0.764495i 0.0276193 0.0287925i
\(706\) 30.6750 + 15.2239i 1.15447 + 0.572960i
\(707\) 2.06402 + 1.17703i 0.0776254 + 0.0442669i
\(708\) 2.15214 6.16401i 0.0808823 0.231658i
\(709\) −45.9930 8.93843i −1.72730 0.335690i −0.772972 0.634441i \(-0.781230\pi\)
−0.954331 + 0.298751i \(0.903430\pi\)
\(710\) 13.6877 3.11755i 0.513691 0.117000i
\(711\) −18.8658 + 22.6627i −0.707522 + 0.849919i
\(712\) −16.5113 0.316974i −0.618787 0.0118791i
\(713\) 19.8668 + 16.6461i 0.744016 + 0.623402i
\(714\) −0.792120 + 0.891906i −0.0296444 + 0.0333787i
\(715\) 16.1555 + 1.03510i 0.604180 + 0.0387104i
\(716\) −23.6717 + 45.8403i −0.884654 + 1.71313i
\(717\) −0.826575 + 4.82812i −0.0308690 + 0.180309i
\(718\) −0.834334 + 5.27871i −0.0311371 + 0.197000i
\(719\) 4.83332 + 0.123728i 0.180252 + 0.00461429i 0.115613 0.993294i \(-0.463117\pi\)
0.0646398 + 0.997909i \(0.479410\pi\)
\(720\) 5.91660 24.1838i 0.220499 0.901277i
\(721\) −0.690273 0.674986i −0.0257071 0.0251378i
\(722\) 45.1989 2.60567i 1.68213 0.0969729i
\(723\) 1.89779 1.08224i 0.0705795 0.0402489i
\(724\) −8.19881 44.4617i −0.304706 1.65241i
\(725\) −17.8339 + 3.70334i −0.662334 + 0.137539i
\(726\) −2.08523 1.45072i −0.0773901 0.0538414i
\(727\) −23.1018 14.3763i −0.856799 0.533188i 0.0277610 0.999615i \(-0.491162\pi\)
−0.884560 + 0.466427i \(0.845541\pi\)
\(728\) 55.6996 + 68.6784i 2.06437 + 2.54539i
\(729\) 25.2802 + 1.78221i 0.936303 + 0.0660078i
\(730\) 0.618437 14.8615i 0.0228894 0.550050i
\(731\) 5.50655 3.18704i 0.203667 0.117877i
\(732\) −0.423058 1.41189i −0.0156367 0.0521851i
\(733\) 3.84760 + 6.90012i 0.142114 + 0.254862i 0.935104 0.354373i \(-0.115306\pi\)
−0.792990 + 0.609235i \(0.791477\pi\)
\(734\) −36.9933 + 7.92916i −1.36545 + 0.292671i
\(735\) 0.144116 0.0571451i 0.00531582 0.00210783i
\(736\) 0.879196 14.4464i 0.0324076 0.532500i
\(737\) −9.38521 7.07907i −0.345709 0.260761i
\(738\) −63.5948 8.59674i −2.34096 0.316451i
\(739\) 1.82752 8.14402i 0.0672264 0.299583i −0.930556 0.366151i \(-0.880675\pi\)
0.997782 + 0.0665681i \(0.0212050\pi\)
\(740\) 5.74575 + 3.78294i 0.211218 + 0.139064i
\(741\) 0.470303 + 0.970912i 0.0172770 + 0.0356673i
\(742\) 10.2263 0.0654324i 0.375419 0.00240210i
\(743\) 33.0278 35.3247i 1.21167 1.29594i 0.268638 0.963241i \(-0.413426\pi\)
0.943034 0.332696i \(-0.107958\pi\)
\(744\) −6.02899 + 7.43383i −0.221033 + 0.272537i
\(745\) −22.1151 + 7.64212i −0.810235 + 0.279985i
\(746\) 44.1342 16.8498i 1.61587 0.616915i
\(747\) 6.75433 5.96012i 0.247128 0.218069i
\(748\) 10.4293 3.16140i 0.381331 0.115592i
\(749\) −7.80804 + 5.73416i −0.285300 + 0.209522i
\(750\) −3.97443 2.43816i −0.145126 0.0890290i
\(751\) −0.102524 32.0468i −0.00374115 1.16940i −0.813112 0.582107i \(-0.802228\pi\)
0.809371 0.587298i \(-0.199808\pi\)
\(752\) −28.0480 17.9563i −1.02281 0.654798i
\(753\) −2.94701 2.84509i −0.107395 0.103681i
\(754\) 16.0991 + 73.9547i 0.586295 + 2.69327i
\(755\) −0.173310 0.708395i −0.00630739 0.0257811i
\(756\) −5.94737 + 10.0520i −0.216304 + 0.365590i
\(757\) −25.1172 25.5222i −0.912901 0.927622i 0.0847305 0.996404i \(-0.472997\pi\)
−0.997632 + 0.0687820i \(0.978089\pi\)
\(758\) −9.39341 13.0515i −0.341184 0.474050i
\(759\) 0.540971 + 1.06424i 0.0196360 + 0.0386294i
\(760\) −4.86289 6.57744i −0.176396 0.238589i
\(761\) −11.6039 17.2617i −0.420641 0.625735i 0.558358 0.829600i \(-0.311432\pi\)
−0.978999 + 0.203865i \(0.934649\pi\)
\(762\) 6.97192 3.29492i 0.252566 0.119362i
\(763\) 31.6395 + 8.93145i 1.14543 + 0.323340i
\(764\) −22.6304 + 48.2843i −0.818738 + 1.74686i
\(765\) 3.62300 + 1.43659i 0.130990 + 0.0519401i
\(766\) 39.8712 + 6.69474i 1.44061 + 0.241891i
\(767\) 28.3747 38.3790i 1.02455 1.38578i
\(768\) −5.28136 0.236702i −0.190575 0.00854126i
\(769\) 20.0023 11.7483i 0.721300 0.423653i −0.0993737 0.995050i \(-0.531684\pi\)
0.820674 + 0.571397i \(0.193598\pi\)