Properties

Label 983.2.c.a.2.6
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 2.6
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.6

$q$-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 \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.805572 + 2.40575i −0.569626 + 1.70113i 0.134379 + 0.990930i \(0.457096\pi\)
−0.704005 + 0.710195i \(0.748607\pi\)
\(3\) −0.153383 0.0861729i −0.0885559 0.0497520i 0.444897 0.895582i \(-0.353240\pi\)
−0.533453 + 0.845830i \(0.679106\pi\)
\(4\) −3.54199 2.67165i −1.77100 1.33582i
\(5\) −0.680394 + 1.02626i −0.304281 + 0.458956i −0.953391 0.301739i \(-0.902433\pi\)
0.649109 + 0.760695i \(0.275142\pi\)
\(6\) 0.330872 0.299584i 0.135078 0.122305i
\(7\) 1.03475 2.28334i 0.391099 0.863020i −0.606586 0.795018i \(-0.707462\pi\)
0.997685 0.0680028i \(-0.0216627\pi\)
\(8\) 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 −0.286686 0.958024i \(-0.592554\pi\)
−0.406604 + 0.913605i \(0.633287\pi\)
\(12\) 0.313059 + 0.715010i 0.0903722 + 0.206406i
\(13\) 3.73418 + 4.31455i 1.03568 + 1.19664i 0.980165 + 0.198182i \(0.0635036\pi\)
0.0555107 + 0.998458i \(0.482321\pi\)
\(14\) 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 −0.282356 0.959310i \(-0.591116\pi\)
0.518878 + 0.854849i \(0.326350\pi\)
\(18\) 7.34452 1.67281i 1.73112 0.394284i
\(19\) 0.853792 + 0.652610i 0.195873 + 0.149719i 0.700585 0.713569i \(-0.252923\pi\)
−0.504711 + 0.863288i \(0.668401\pi\)
\(20\) 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 −0.978751 0.205052i \(-0.934264\pi\)
0.914040 0.405625i \(-0.132946\pi\)
\(24\) −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 −0.995222 0.0976372i \(-0.968872\pi\)
0.443321 + 0.896363i \(0.353800\pi\)
\(30\) 0.0823270 + 0.543395i 0.0150308 + 0.0992099i
\(31\) 4.90984 + 7.30375i 0.881833 + 1.31179i 0.949397 + 0.314077i \(0.101695\pi\)
−0.0675642 + 0.997715i \(0.521523\pi\)
\(32\) −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 −0.138988 0.990294i \(-0.544385\pi\)
0.339923 + 0.940453i \(0.389599\pi\)
\(38\) −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 −0.595795 0.803137i \(-0.703163\pi\)
−0.729376 + 0.684113i \(0.760189\pi\)
\(42\) −0.341681 1.06549i −0.0527226 0.164408i
\(43\) 3.51714 + 4.82143i 0.536358 + 0.735262i 0.987574 0.157153i \(-0.0502316\pi\)
−0.451216 + 0.892415i \(0.649010\pi\)
\(44\) 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 0.997296 + 0.0734942i \(0.0234150\pi\)
−0.792554 + 0.609802i \(0.791249\pi\)
\(48\) 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 −0.590396 0.807113i \(-0.701029\pi\)
0.753171 + 0.657825i \(0.228523\pi\)
\(54\) −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 0.607222 0.794532i \(-0.292284\pi\)
0.478547 + 0.878062i \(0.341164\pi\)
\(60\) −0.946788 0.165210i −0.122230 0.0213285i
\(61\) 1.43961 + 1.22200i 0.184323 + 0.156461i 0.734550 0.678555i \(-0.237393\pi\)
−0.550226 + 0.835016i \(0.685459\pi\)
\(62\) −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 −0.383220 0.923657i \(-0.625185\pi\)
0.855831 + 0.517256i \(0.173046\pi\)
\(68\) −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 −0.816053 0.577977i \(-0.803842\pi\)
0.402915 + 0.915237i \(0.367997\pi\)
\(72\) −16.7416 7.52240i −1.97302 0.886523i
\(73\) −3.87349 2.76907i −0.453357 0.324095i 0.331845 0.943334i \(-0.392329\pi\)
−0.785202 + 0.619239i \(0.787441\pi\)
\(74\) −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 0.431049 0.902329i \(-0.358144\pi\)
0.674273 + 0.738483i \(0.264457\pi\)
\(80\) −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 −0.451113 0.892467i \(-0.648973\pi\)
0.133037 + 0.991111i \(0.457527\pi\)
\(84\) 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 0.426108 0.904673i \(-0.359885\pi\)
−0.662623 + 0.748954i \(0.730557\pi\)
\(90\) −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 0.0748103 0.997198i \(-0.476165\pi\)
0.176327 + 0.984332i \(0.443578\pi\)
\(98\) −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 0.624282 0.781199i \(-0.285392\pi\)
−0.547912 + 0.836536i \(0.684577\pi\)
\(102\) 0.193636 0.434664i 0.0191728 0.0430382i
\(103\) −0.358905 0.139662i −0.0353640 0.0137613i 0.344898 0.938640i \(-0.387914\pi\)
−0.380262 + 0.924879i \(0.624166\pi\)
\(104\) 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 −0.922672 0.385585i \(-0.874000\pi\)
0.999799 + 0.0200504i \(0.00638266\pi\)
\(108\) 2.67302 3.81603i 0.257212 0.367198i
\(109\) 8.45474 + 10.0252i 0.809817 + 0.960240i 0.999768 0.0215536i \(-0.00686126\pi\)
−0.189950 + 0.981794i \(0.560833\pi\)
\(110\) 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 0.894069 0.447929i \(-0.147838\pi\)
0.196495 + 0.980505i \(0.437044\pi\)
\(114\) 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 0.887040 + 0.461692i \(0.152757\pi\)
−0.299241 + 0.954178i \(0.596734\pi\)
\(128\) −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 −0.139064 0.990283i \(-0.544409\pi\)
−0.884990 + 0.465610i \(0.845835\pi\)
\(132\) −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 −0.985929 0.167165i \(-0.946539\pi\)
0.364138 0.931345i \(-0.381364\pi\)
\(138\) −0.980076 0.876051i −0.0834296 0.0745744i
\(139\) 4.88838 9.31960i 0.414627 0.790478i −0.585164 0.810915i \(-0.698970\pi\)
0.999791 + 0.0204367i \(0.00650564\pi\)
\(140\) 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 0.802486 + 0.596671i \(0.203510\pi\)
−0.413214 + 0.910634i \(0.635594\pi\)
\(150\) 1.41014 + 0.655424i 0.115137 + 0.0535152i
\(151\) 0.557280 0.200593i 0.0453508 0.0163240i −0.315904 0.948791i \(-0.602308\pi\)
0.361255 + 0.932467i \(0.382348\pi\)
\(152\) 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 0.832228 0.554434i \(-0.187065\pi\)
−0.619152 + 0.785271i \(0.712523\pi\)
\(158\) −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 −0.238055 0.971252i \(-0.576510\pi\)
0.255833 + 0.966721i \(0.417650\pi\)
\(164\) 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 0.979487 + 0.201510i \(0.0645847\pi\)
−0.843191 + 0.537614i \(0.819326\pi\)
\(168\) −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 0.288572 0.957458i \(-0.406820\pi\)
0.616146 + 0.787632i \(0.288693\pi\)
\(174\) 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 0.781745 0.623598i \(-0.214330\pi\)
0.00168922 + 0.999999i \(0.499462\pi\)
\(180\) −12.5645 10.2569i −0.936505 0.764505i
\(181\) −4.55947 9.11363i −0.338903 0.677411i 0.658251 0.752798i \(-0.271296\pi\)
−0.997154 + 0.0753874i \(0.975981\pi\)
\(182\) −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 0.805273 0.592904i \(-0.202019\pi\)
−0.0364057 + 0.999337i \(0.511591\pi\)
\(192\) 0.156266 0.129240i 0.0112775 0.00932712i
\(193\) 18.6651 + 17.7902i 1.34354 + 1.28057i 0.928776 + 0.370641i \(0.120862\pi\)
0.414767 + 0.909928i \(0.363863\pi\)
\(194\) −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 0.0493609 0.998781i \(-0.484282\pi\)
0.543034 + 0.839711i \(0.317275\pi\)
\(198\) −17.1343 + 2.76440i −1.21768 + 0.196457i
\(199\) −11.7831 + 18.2764i −0.835283 + 1.29558i 0.117851 + 0.993031i \(0.462399\pi\)
−0.953134 + 0.302548i \(0.902163\pi\)
\(200\) 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 −0.974119 0.226035i \(-0.927424\pi\)
0.850258 0.526367i \(-0.176446\pi\)
\(212\) −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 −0.990231 0.139434i \(-0.955472\pi\)
0.423598 + 0.905850i \(0.360767\pi\)
\(224\) −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 0.953793 0.300465i \(-0.0971419\pi\)
−0.722527 + 0.691342i \(0.757020\pi\)
\(228\) −0.199336 + 0.814776i −0.0132013 + 0.0539598i
\(229\) 4.45738 20.4759i 0.294552 1.35309i −0.557739 0.830017i \(-0.688331\pi\)
0.852290 0.523069i \(-0.175213\pi\)
\(230\) −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 −0.807103 0.590411i \(-0.798966\pi\)
0.160590 + 0.987021i \(0.448660\pi\)
\(234\) 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 0.904983 + 0.425448i \(0.139883\pi\)
0.229448 + 0.973321i \(0.426308\pi\)
\(240\) 1.00756 + 1.07763i 0.0650378 + 0.0695608i
\(241\) −12.4175 0.0794526i −0.799881 0.00511799i −0.394076 0.919078i \(-0.628935\pi\)
−0.405805 + 0.913960i \(0.633009\pi\)
\(242\) 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 −0.438819 0.898575i \(-0.644603\pi\)
0.860645 0.509206i \(-0.170061\pi\)
\(252\) 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 −0.997661 0.0683618i \(-0.978223\pi\)
−0.282782 + 0.959184i \(0.591257\pi\)
\(258\) 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 −0.726874 0.686771i \(-0.759027\pi\)
0.327713 0.944777i \(-0.393722\pi\)
\(264\) 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 0.999287 + 0.0377637i \(0.0120234\pi\)
−0.0805097 + 0.996754i \(0.525655\pi\)
\(270\) 2.51456 2.10692i 0.153031 0.128223i
\(271\) −10.5931 + 0.203360i −0.643485 + 0.0123533i −0.339915 0.940456i \(-0.610398\pi\)
−0.303570 + 0.952809i \(0.598179\pi\)
\(272\) 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 −0.600676 0.799493i \(-0.705102\pi\)
0.273488 + 0.961875i \(0.411823\pi\)
\(278\) 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 0.962144 0.272542i \(-0.0878645\pi\)
−0.839221 + 0.543790i \(0.816989\pi\)
\(282\) 1.86781 + 1.12944i 0.111226 + 0.0672574i
\(283\) 18.7171 + 14.8845i 1.11262 + 0.884791i 0.994133 0.108165i \(-0.0344975\pi\)
0.118486 + 0.992956i \(0.462196\pi\)
\(284\) 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 −0.456281 0.889836i \(-0.650819\pi\)
0.0380475 + 0.999276i \(0.487886\pi\)
\(294\) 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 −0.901478 0.432825i \(-0.857517\pi\)
0.424153 + 0.905591i \(0.360572\pi\)
\(308\) 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 −0.420566 0.907262i \(-0.638168\pi\)
0.676669 + 0.736288i \(0.263423\pi\)
\(312\) −4.46468 4.31026i −0.252763 0.244021i
\(313\) −30.0982 6.04950i −1.70125 0.341938i −0.752654 0.658417i \(-0.771227\pi\)
−0.948600 + 0.316479i \(0.897499\pi\)
\(314\) −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 −0.200291 0.979737i \(-0.564189\pi\)
0.668734 + 0.743501i \(0.266836\pi\)
\(318\) 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 −0.0894847 0.995988i \(-0.528522\pi\)
−0.772647 + 0.634836i \(0.781068\pi\)
\(332\) 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 −0.0807767 0.996732i \(-0.525740\pi\)
0.932248 0.361820i \(-0.117844\pi\)
\(338\) −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 0.460212 0.887809i \(-0.347773\pi\)
−0.346233 + 0.938149i \(0.612539\pi\)
\(348\) −4.00589 0.778518i −0.214738 0.0417329i
\(349\) −3.17983 21.9350i −0.170212 1.17415i −0.881823 0.471580i \(-0.843684\pi\)
0.711611 0.702574i \(-0.247966\pi\)
\(350\) −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 0.407371 0.913263i \(-0.366446\pi\)
−0.914561 + 0.404447i \(0.867464\pi\)
\(354\) 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 −0.510265 0.860017i \(-0.670453\pi\)
0.411647 + 0.911344i \(0.364954\pi\)
\(360\) 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 0.958869 + 0.283847i \(0.0916109\pi\)
−0.871891 + 0.489701i \(0.837106\pi\)
\(368\) 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 −0.855332 0.518080i \(-0.826647\pi\)
0.895418 0.445226i \(-0.146877\pi\)
\(374\) −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 0.447740 0.894164i \(-0.352229\pi\)
−0.136779 + 0.990602i \(0.543675\pi\)
\(380\) 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 0.614700 0.788761i \(-0.289277\pi\)
−0.997540 + 0.0701007i \(0.977668\pi\)
\(384\) 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 −0.157551 0.987511i \(-0.550360\pi\)
−0.759165 + 0.650898i \(0.774392\pi\)
\(390\) −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 −0.977592 0.210510i \(-0.932487\pi\)
0.996980 0.0776534i \(-0.0247428\pi\)
\(398\) −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 0.0661950 0.997807i \(-0.478914\pi\)
0.997590 0.0693868i \(-0.0221043\pi\)
\(402\) 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 −0.999815 0.0192548i \(-0.993871\pi\)
0.0862097 0.996277i \(-0.472524\pi\)
\(410\) 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 0.506576 0.862195i \(-0.330911\pi\)
0.933030 0.359798i \(-0.117154\pi\)
\(420\) −1.35692 + 1.99089i −0.0662108 + 0.0971452i
\(421\) −10.9227 + 1.12212i −0.532342 + 0.0546890i −0.364640 0.931149i \(-0.618808\pi\)
−0.167702 + 0.985838i \(0.553635\pi\)
\(422\) 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 −0.997332 0.0729948i \(-0.976744\pi\)
0.894556 0.446956i \(-0.147492\pi\)
\(432\) −6.80312 + 2.20566i −0.327315 + 0.106120i
\(433\) −22.2082 + 0.284207i −1.06726 + 0.0136581i −0.544450 0.838793i \(-0.683262\pi\)
−0.522807 + 0.852451i \(0.675115\pi\)
\(434\) −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 0.0160777 0.999871i \(-0.494882\pi\)
0.687679 + 0.726015i \(0.258630\pi\)
\(440\) 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 0.988377 + 0.152023i \(0.0485789\pi\)
−0.620652 + 0.784086i \(0.713132\pi\)
\(444\) 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 0.453756 0.891126i \(-0.350084\pi\)
0.701925 + 0.712251i \(0.252324\pi\)
\(450\) 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 −0.359781 0.933037i \(-0.617149\pi\)
−0.509317 + 0.860579i \(0.670102\pi\)
\(458\) 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 0.632961 + 0.774183i \(0.281839\pi\)
−0.992319 + 0.123702i \(0.960523\pi\)
\(462\) 0.628684 + 2.50030i 0.0292490 + 0.116325i
\(463\) 16.8573 15.0681i 0.783424 0.700272i −0.175329 0.984510i \(-0.556099\pi\)
0.958754 + 0.284238i \(0.0917406\pi\)
\(464\) −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 −0.658534 0.752551i \(-0.728823\pi\)
0.979304 + 0.202393i \(0.0648719\pi\)
\(468\) −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 −0.878117 0.478446i \(-0.841200\pi\)
0.365450 + 0.930831i \(0.380915\pi\)
\(480\) −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 −0.850224 0.526422i \(-0.823533\pi\)
0.662344 + 0.749200i \(0.269562\pi\)
\(488\) 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 0.807109 + 0.590403i \(0.201031\pi\)
−0.288830 + 0.957380i \(0.593266\pi\)
\(492\) −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 0.321113 0.947041i \(-0.395943\pi\)
−0.939613 + 0.342239i \(0.888815\pi\)
\(500\) 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 −0.167980 0.985790i \(-0.553724\pi\)
0.635457 + 0.772137i \(0.280812\pi\)
\(504\) −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 −0.0703182 0.997525i \(-0.522401\pi\)
0.992226 0.124450i \(-0.0397167\pi\)
\(510\) 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 −0.930226 0.366988i \(-0.880389\pi\)
0.646016 0.763324i \(-0.276434\pi\)
\(522\) −14.6333 + 36.5625i −0.640482 + 1.60030i
\(523\) −3.75009 7.86978i −0.163980 0.344122i 0.804207 0.594349i \(-0.202590\pi\)
−0.968187 + 0.250228i \(0.919495\pi\)
\(524\) 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 −0.833932 0.551868i \(-0.813915\pi\)
0.586063 + 0.810265i \(0.300677\pi\)
\(542\) 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 −0.981397 0.191992i \(-0.938505\pi\)
0.954754 0.297395i \(-0.0961180\pi\)
\(548\) −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 −0.947230 0.320554i \(-0.896131\pi\)
0.999673 0.0255893i \(-0.00814622\pi\)
\(558\) 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 0.334529 + 0.942385i \(0.391423\pi\)
−0.999449 + 0.0331924i \(0.989433\pi\)
\(564\) −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 −0.922852 0.385155i \(-0.874148\pi\)
0.493744 0.869607i \(-0.335628\pi\)
\(570\) −0.284335 + 0.517674i −0.0119095 + 0.0216830i
\(571\) −8.11811 13.1388i −0.339732 0.549842i 0.635199 0.772349i \(-0.280918\pi\)
−0.974931 + 0.222507i \(0.928576\pi\)
\(572\) 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 −0.997167 0.0752141i \(-0.976036\pi\)
−0.872562 + 0.488503i \(0.837543\pi\)
\(578\) −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 0.878212 + 0.478271i \(0.158736\pi\)
−0.985181 + 0.171517i \(0.945133\pi\)
\(588\) −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 −0.988827 0.149069i \(-0.952372\pi\)
0.301615 + 0.953430i \(0.402474\pi\)
\(594\) 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 0.939650 0.342136i \(-0.111151\pi\)
−0.926188 + 0.377061i \(0.876935\pi\)
\(600\) −1.78142 3.34405i −0.0727262 0.136520i
\(601\) 28.2890 26.9630i 1.15393 1.09984i 0.160310 0.987067i \(-0.448750\pi\)
0.993620 0.112777i \(-0.0359746\pi\)
\(602\) −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 0.429355 0.903136i \(-0.358741\pi\)
−0.791142 + 0.611633i \(0.790513\pi\)
\(608\) −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 0.821284 0.570519i \(-0.193258\pi\)
−0.359003 + 0.933336i \(0.616883\pi\)
\(614\) −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 −0.152670 0.988277i \(-0.548787\pi\)
−0.0891677 + 0.996017i \(0.528421\pi\)
\(618\) −0.160592 + 0.0613118i −0.00645997 + 0.00246632i
\(619\) 28.0832 + 10.5164i 1.12876 + 0.422688i 0.844231 0.535980i \(-0.180058\pi\)
0.284527 + 0.958668i \(0.408164\pi\)
\(620\) 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 −0.477722 0.878511i \(-0.658537\pi\)
−0.656073 + 0.754697i \(0.727784\pi\)
\(632\) 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 −0.282625 0.959230i \(-0.591205\pi\)
−0.910259 + 0.414039i \(0.864118\pi\)
\(642\) −0.868791 1.49008i −0.0342885 0.0588086i
\(643\) 27.7589 26.1208i 1.09470 1.03011i 0.0953033 0.995448i \(-0.469618\pi\)
0.999399 0.0346568i \(-0.0110338\pi\)
\(644\) 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 0.364313 0.931277i \(-0.381304\pi\)
−0.810594 + 0.585608i \(0.800856\pi\)
\(648\) 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 −0.995710 0.0925296i \(-0.970505\pi\)
0.964983 0.262312i \(-0.0844851\pi\)
\(654\) 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 −0.405391 0.914143i \(-0.632865\pi\)
0.460327 + 0.887749i \(0.347732\pi\)
\(660\) 2.15269 + 0.519365i 0.0837933 + 0.0202162i
\(661\) −5.39805 + 7.20440i −0.209960 + 0.280219i −0.892899 0.450256i \(-0.851333\pi\)
0.682939 + 0.730475i \(0.260701\pi\)
\(662\) 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 −0.522988 0.852340i \(-0.675183\pi\)
0.926043 0.377417i \(-0.123188\pi\)
\(674\) 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 0.148887 0.988854i \(-0.452431\pi\)
0.989980 + 0.141209i \(0.0450990\pi\)
\(678\) 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 −0.989877 0.141930i \(-0.954669\pi\)
0.195529 + 0.980698i \(0.437358\pi\)
\(684\) −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 0.954209 + 0.299142i \(0.0967005\pi\)
−0.612452 + 0.790508i \(0.709817\pi\)
\(692\) −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 0.562129 0.827049i \(-0.309982\pi\)
−0.471298 + 0.881974i \(0.656215\pi\)
\(702\) −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 −0.954331 0.298751i \(-0.903430\pi\)
−0.772972 + 0.634441i \(0.781230\pi\)
\(710\) 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 0.0646398 0.997909i \(-0.479410\pi\)
0.115613 + 0.993294i \(0.463117\pi\)
\(720\) 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 −0.884560 0.466427i \(-0.845541\pi\)
0.0277610 + 0.999615i \(0.491162\pi\)
\(728\) 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 −0.792990 0.609235i \(-0.791477\pi\)
0.935104 + 0.354373i \(0.115306\pi\)
\(734\) −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 0.997782 0.0665681i \(-0.0212050\pi\)
−0.930556 + 0.366151i \(0.880675\pi\)
\(740\) 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 0.943034 + 0.332696i \(0.107958\pi\)
0.268638 + 0.963241i \(0.413426\pi\)
\(744\) −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 0.809371 + 0.587298i \(0.199808\pi\)
−0.813112 + 0.582107i \(0.802228\pi\)
\(752\) −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 −0.997632 0.0687820i \(-0.978089\pi\)
0.0847305 + 0.996404i \(0.472997\pi\)
\(758\) −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 −0.978999 0.203865i \(-0.934649\pi\)
0.558358 + 0.829600i \(0.311432\pi\)
\(762\) 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 0.820674 0.571397i \(-0.193598\pi\)
−0.0993737 + 0.995050i \(0.531684\pi\)
\(770\) 17.7752