Properties

Label 983.2.c.a.2.13
Level $983$
Weight $2$
Character 983.2
Analytic conductor $7.849$
Analytic rank $0$
Dimension $39690$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 2.13
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.682299 + 2.03761i) q^{2} +(-2.29977 - 1.29204i) q^{3} +(-2.08961 - 1.57615i) q^{4} +(-0.572361 + 0.863308i) q^{5} +(4.20182 - 3.80448i) q^{6} +(-1.13382 + 2.50196i) q^{7} +(1.09385 - 0.750669i) q^{8} +(2.05904 + 3.38064i) q^{9} +O(q^{10})\) \(q+(-0.682299 + 2.03761i) q^{2} +(-2.29977 - 1.29204i) q^{3} +(-2.08961 - 1.57615i) q^{4} +(-0.572361 + 0.863308i) q^{5} +(4.20182 - 3.80448i) q^{6} +(-1.13382 + 2.50196i) q^{7} +(1.09385 - 0.750669i) q^{8} +(2.05904 + 3.38064i) q^{9} +(-1.36857 - 1.75528i) q^{10} +(4.92060 + 0.315268i) q^{11} +(2.76918 + 6.32466i) q^{12} +(-0.00240853 - 0.00278287i) q^{13} +(-4.32441 - 4.01737i) q^{14} +(2.43173 - 1.24590i) q^{15} +(-0.655014 - 2.29230i) q^{16} +(3.35687 - 1.48258i) q^{17} +(-8.29332 + 1.88891i) q^{18} +(2.43600 + 1.86199i) q^{19} +(2.55672 - 0.901854i) q^{20} +(5.84018 - 4.28898i) q^{21} +(-3.99971 + 9.81116i) q^{22} +(0.0587654 + 0.554564i) q^{23} +(-3.48551 + 0.313060i) q^{24} +(1.52891 + 3.61726i) q^{25} +(0.00731374 - 0.00300891i) q^{26} +(-0.0889426 - 2.52639i) q^{27} +(6.31272 - 3.44105i) q^{28} +(0.272004 - 0.393651i) q^{29} +(0.879486 + 5.80500i) q^{30} +(4.09593 + 6.09300i) q^{31} +(7.76838 + 0.348167i) q^{32} +(-10.9089 - 7.08268i) q^{33} +(0.730535 + 7.85156i) q^{34} +(-1.51101 - 2.41086i) q^{35} +(1.02581 - 10.3096i) q^{36} +(-2.55978 + 0.634941i) q^{37} +(-5.45609 + 3.69318i) q^{38} +(0.00194349 + 0.00951189i) q^{39} +(0.0219800 + 1.37399i) q^{40} +(-4.54287 - 0.408028i) q^{41} +(4.75453 + 14.8264i) q^{42} +(-7.24202 - 9.92766i) q^{43} +(-9.78524 - 8.41439i) q^{44} +(-4.09705 - 0.157364i) q^{45} +(-1.17008 - 0.258637i) q^{46} +(1.34117 + 4.47597i) q^{47} +(-1.45537 + 6.11807i) q^{48} +(-0.359516 - 0.410060i) q^{49} +(-8.41374 + 0.647282i) q^{50} +(-9.63560 - 0.927630i) q^{51} +(0.000646689 + 0.00961133i) q^{52} +(-5.93986 + 5.44773i) q^{53} +(5.20848 + 1.54252i) q^{54} +(-3.08853 + 4.06755i) q^{55} +(0.637905 + 3.58790i) q^{56} +(-3.19646 - 7.42957i) q^{57} +(0.616520 + 0.822826i) q^{58} +(-3.99860 - 0.307618i) q^{59} +(-7.04510 - 1.22934i) q^{60} +(0.165056 + 0.140106i) q^{61} +(-15.2098 + 4.18867i) q^{62} +(-10.7928 + 1.31857i) q^{63} +(-4.29489 + 11.1424i) q^{64} +(0.00378102 - 0.000486505i) q^{65} +(21.8749 - 17.3956i) q^{66} +(-0.490682 + 0.421941i) q^{67} +(-9.35133 - 2.19291i) q^{68} +(0.581374 - 1.35130i) q^{69} +(5.94335 - 1.43391i) q^{70} +(-7.35049 + 6.00048i) q^{71} +(4.79003 + 2.15228i) q^{72} +(-5.25818 - 3.75895i) q^{73} +(0.452775 - 5.64906i) q^{74} +(1.15751 - 10.2943i) q^{75} +(-2.15551 - 7.73034i) q^{76} +(-6.36787 + 11.9537i) q^{77} +(-0.0207076 - 0.00252987i) q^{78} +(15.5734 - 2.30851i) q^{79} +(2.35386 + 0.746542i) q^{80} +(2.38894 - 4.62619i) q^{81} +(3.93099 - 8.97820i) q^{82} +(-14.5493 + 4.51214i) q^{83} +(-18.9638 - 0.242687i) q^{84} +(-0.641416 + 3.74659i) q^{85} +(25.1699 - 7.98280i) q^{86} +(-1.13416 + 0.553866i) q^{87} +(5.61908 - 3.34888i) q^{88} +(-3.58984 - 2.36351i) q^{89} +(3.11606 - 8.24083i) q^{90} +(0.00969346 - 0.00287077i) q^{91} +(0.751279 - 1.25145i) q^{92} +(-1.54727 - 19.3046i) q^{93} +(-10.0354 - 0.321159i) q^{94} +(-3.00174 + 1.03728i) q^{95} +(-17.4157 - 10.8378i) q^{96} +(-1.94499 + 0.0996450i) q^{97} +(1.08084 - 0.452771i) q^{98} +(9.06589 + 17.2839i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.682299 + 2.03761i −0.482458 + 1.44081i 0.375371 + 0.926874i \(0.377515\pi\)
−0.857830 + 0.513934i \(0.828188\pi\)
\(3\) −2.29977 1.29204i −1.32777 0.745963i −0.346403 0.938086i \(-0.612597\pi\)
−0.981371 + 0.192123i \(0.938463\pi\)
\(4\) −2.08961 1.57615i −1.04481 0.788076i
\(5\) −0.572361 + 0.863308i −0.255967 + 0.386083i −0.938784 0.344507i \(-0.888046\pi\)
0.682816 + 0.730590i \(0.260755\pi\)
\(6\) 4.20182 3.80448i 1.71538 1.55317i
\(7\) −1.13382 + 2.50196i −0.428545 + 0.945651i 0.564225 + 0.825621i \(0.309175\pi\)
−0.992770 + 0.120030i \(0.961701\pi\)
\(8\) 1.09385 0.750669i 0.386736 0.265402i
\(9\) 2.05904 + 3.38064i 0.686346 + 1.12688i
\(10\) −1.36857 1.75528i −0.432779 0.555069i
\(11\) 4.92060 + 0.315268i 1.48362 + 0.0950568i 0.784579 0.620029i \(-0.212879\pi\)
0.699037 + 0.715086i \(0.253612\pi\)
\(12\) 2.76918 + 6.32466i 0.799392 + 1.82577i
\(13\) −0.00240853 0.00278287i −0.000668007 0.000771828i 0.755796 0.654807i \(-0.227250\pi\)
−0.756464 + 0.654035i \(0.773075\pi\)
\(14\) −4.32441 4.01737i −1.15575 1.07369i
\(15\) 2.43173 1.24590i 0.627871 0.321689i
\(16\) −0.655014 2.29230i −0.163753 0.573074i
\(17\) 3.35687 1.48258i 0.814161 0.359579i 0.0452827 0.998974i \(-0.485581\pi\)
0.768878 + 0.639396i \(0.220815\pi\)
\(18\) −8.29332 + 1.88891i −1.95475 + 0.445220i
\(19\) 2.43600 + 1.86199i 0.558856 + 0.427170i 0.847908 0.530143i \(-0.177862\pi\)
−0.289053 + 0.957313i \(0.593340\pi\)
\(20\) 2.55672 0.901854i 0.571699 0.201661i
\(21\) 5.84018 4.28898i 1.27443 0.935932i
\(22\) −3.99971 + 9.81116i −0.852741 + 2.09175i
\(23\) 0.0587654 + 0.554564i 0.0122534 + 0.115635i 0.998877 0.0473813i \(-0.0150876\pi\)
−0.986623 + 0.163016i \(0.947878\pi\)
\(24\) −3.48551 + 0.313060i −0.711477 + 0.0639030i
\(25\) 1.52891 + 3.61726i 0.305783 + 0.723451i
\(26\) 0.00731374 0.00300891i 0.00143434 0.000590096i
\(27\) −0.0889426 2.52639i −0.0171170 0.486203i
\(28\) 6.31272 3.44105i 1.19299 0.650297i
\(29\) 0.272004 0.393651i 0.0505098 0.0730992i −0.796637 0.604458i \(-0.793390\pi\)
0.847147 + 0.531359i \(0.178318\pi\)
\(30\) 0.879486 + 5.80500i 0.160571 + 1.05984i
\(31\) 4.09593 + 6.09300i 0.735650 + 1.09433i 0.991813 + 0.127701i \(0.0407598\pi\)
−0.256162 + 0.966634i \(0.582458\pi\)
\(32\) 7.76838 + 0.348167i 1.37327 + 0.0615478i
\(33\) −10.9089 7.08268i −1.89900 1.23294i
\(34\) 0.730535 + 7.85156i 0.125286 + 1.34653i
\(35\) −1.51101 2.41086i −0.255406 0.407510i
\(36\) 1.02581 10.3096i 0.170969 1.71827i
\(37\) −2.55978 + 0.634941i −0.420826 + 0.104384i −0.445437 0.895313i \(-0.646952\pi\)
0.0246107 + 0.999697i \(0.492165\pi\)
\(38\) −5.45609 + 3.69318i −0.885095 + 0.599112i
\(39\) 0.00194349 + 0.00951189i 0.000311208 + 0.00152312i
\(40\) 0.0219800 + 1.37399i 0.00347535 + 0.217246i
\(41\) −4.54287 0.408028i −0.709477 0.0637233i −0.271147 0.962538i \(-0.587403\pi\)
−0.438329 + 0.898815i \(0.644430\pi\)
\(42\) 4.75453 + 14.8264i 0.733640 + 2.28776i
\(43\) −7.24202 9.92766i −1.10440 1.51395i −0.834454 0.551078i \(-0.814217\pi\)
−0.269944 0.962876i \(-0.587005\pi\)
\(44\) −9.78524 8.41439i −1.47518 1.26852i
\(45\) −4.09705 0.157364i −0.610752 0.0234584i
\(46\) −1.17008 0.258637i −0.172519 0.0381340i
\(47\) 1.34117 + 4.47597i 0.195630 + 0.652887i 0.998397 + 0.0565943i \(0.0180241\pi\)
−0.802767 + 0.596293i \(0.796640\pi\)
\(48\) −1.45537 + 6.11807i −0.210064 + 0.883067i
\(49\) −0.359516 0.410060i −0.0513595 0.0585800i
\(50\) −8.41374 + 0.647282i −1.18988 + 0.0915395i
\(51\) −9.63560 0.927630i −1.34925 0.129894i
\(52\) 0.000646689 0.00961133i 8.96796e−5 0.00133285i
\(53\) −5.93986 + 5.44773i −0.815902 + 0.748304i −0.970868 0.239616i \(-0.922978\pi\)
0.154966 + 0.987920i \(0.450473\pi\)
\(54\) 5.20848 + 1.54252i 0.708784 + 0.209910i
\(55\) −3.08853 + 4.06755i −0.416457 + 0.548468i
\(56\) 0.637905 + 3.58790i 0.0852437 + 0.479454i
\(57\) −3.19646 7.42957i −0.423381 0.984071i
\(58\) 0.616520 + 0.822826i 0.0809530 + 0.108042i
\(59\) −3.99860 0.307618i −0.520573 0.0400485i −0.186242 0.982504i \(-0.559631\pi\)
−0.334332 + 0.942455i \(0.608511\pi\)
\(60\) −7.04510 1.22934i −0.909519 0.158706i
\(61\) 0.165056 + 0.140106i 0.0211333 + 0.0179387i 0.657638 0.753334i \(-0.271555\pi\)
−0.636505 + 0.771272i \(0.719621\pi\)
\(62\) −15.2098 + 4.18867i −1.93165 + 0.531961i
\(63\) −10.7928 + 1.31857i −1.35977 + 0.166124i
\(64\) −4.29489 + 11.1424i −0.536861 + 1.39280i
\(65\) 0.00378102 0.000486505i 0.000468978 6.03435e-5i
\(66\) 21.8749 17.3956i 2.69261 2.14125i
\(67\) −0.490682 + 0.421941i −0.0599464 + 0.0515483i −0.681462 0.731853i \(-0.738656\pi\)
0.621516 + 0.783402i \(0.286517\pi\)
\(68\) −9.35133 2.19291i −1.13402 0.265930i
\(69\) 0.581374 1.35130i 0.0699892 0.162677i
\(70\) 5.94335 1.43391i 0.710367 0.171385i
\(71\) −7.35049 + 6.00048i −0.872342 + 0.712126i −0.958786 0.284131i \(-0.908295\pi\)
0.0864434 + 0.996257i \(0.472450\pi\)
\(72\) 4.79003 + 2.15228i 0.564511 + 0.253648i
\(73\) −5.25818 3.75895i −0.615424 0.439952i 0.230636 0.973040i \(-0.425919\pi\)
−0.846060 + 0.533088i \(0.821031\pi\)
\(74\) 0.452775 5.64906i 0.0526340 0.656690i
\(75\) 1.15751 10.2943i 0.133657 1.18868i
\(76\) −2.15551 7.73034i −0.247254 0.886731i
\(77\) −6.36787 + 11.9537i −0.725686 + 1.36225i
\(78\) −0.0207076 0.00252987i −0.00234467 0.000286451i
\(79\) 15.5734 2.30851i 1.75215 0.259728i 0.807984 0.589204i \(-0.200559\pi\)
0.944164 + 0.329476i \(0.106872\pi\)
\(80\) 2.35386 + 0.746542i 0.263170 + 0.0834660i
\(81\) 2.38894 4.62619i 0.265438 0.514022i
\(82\) 3.93099 8.97820i 0.434106 0.991476i
\(83\) −14.5493 + 4.51214i −1.59699 + 0.495272i −0.961029 0.276448i \(-0.910843\pi\)
−0.635962 + 0.771720i \(0.719397\pi\)
\(84\) −18.9638 0.242687i −2.06912 0.0264794i
\(85\) −0.641416 + 3.74659i −0.0695714 + 0.406374i
\(86\) 25.1699 7.98280i 2.71414 0.860807i
\(87\) −1.13416 + 0.553866i −0.121595 + 0.0593807i
\(88\) 5.61908 3.34888i 0.598996 0.356992i
\(89\) −3.58984 2.36351i −0.380522 0.250532i 0.345186 0.938534i \(-0.387816\pi\)
−0.725708 + 0.688002i \(0.758488\pi\)
\(90\) 3.11606 8.24083i 0.328461 0.868660i
\(91\) 0.00969346 0.00287077i 0.00101615 0.000300939i
\(92\) 0.751279 1.25145i 0.0783263 0.130472i
\(93\) −1.54727 19.3046i −0.160445 2.00180i
\(94\) −10.0354 0.321159i −1.03507 0.0331250i
\(95\) −3.00174 + 1.03728i −0.307972 + 0.106423i
\(96\) −17.4157 10.8378i −1.77748 1.10613i
\(97\) −1.94499 + 0.0996450i −0.197484 + 0.0101174i −0.149656 0.988738i \(-0.547817\pi\)
−0.0478282 + 0.998856i \(0.515230\pi\)
\(98\) 1.08084 0.452771i 0.109181 0.0457368i
\(99\) 9.06589 + 17.2839i 0.911156 + 1.73710i
\(100\) 2.50651 9.96847i 0.250651 0.996847i
\(101\) 8.96714 + 6.49750i 0.892264 + 0.646525i 0.935802 0.352527i \(-0.114677\pi\)
−0.0435376 + 0.999052i \(0.513863\pi\)
\(102\) 8.46451 19.0007i 0.838111 1.88135i
\(103\) 14.2167 + 5.53222i 1.40082 + 0.545106i 0.939628 0.342197i \(-0.111171\pi\)
0.461188 + 0.887303i \(0.347424\pi\)
\(104\) −0.00472360 0.00123604i −0.000463187 0.000121203i
\(105\) 0.360026 + 7.49672i 0.0351350 + 0.731605i
\(106\) −7.04761 15.8201i −0.684524 1.53658i
\(107\) −1.11066 + 5.26387i −0.107371 + 0.508878i 0.891110 + 0.453788i \(0.149927\pi\)
−0.998481 + 0.0550901i \(0.982455\pi\)
\(108\) −3.79611 + 5.41936i −0.365281 + 0.521478i
\(109\) −2.48112 2.94198i −0.237648 0.281791i 0.632522 0.774542i \(-0.282020\pi\)
−0.870170 + 0.492751i \(0.835991\pi\)
\(110\) −6.18078 9.06850i −0.589314 0.864648i
\(111\) 6.70729 + 1.84714i 0.636628 + 0.175322i
\(112\) 6.47790 + 0.960244i 0.612104 + 0.0907345i
\(113\) −10.3755 5.06686i −0.976045 0.476650i −0.119562 0.992827i \(-0.538149\pi\)
−0.856482 + 0.516177i \(0.827355\pi\)
\(114\) 17.3195 1.44395i 1.62212 0.135238i
\(115\) −0.512394 0.266678i −0.0477810 0.0248678i
\(116\) −1.18884 + 0.393859i −0.110381 + 0.0365689i
\(117\) 0.00444862 0.0138724i 0.000411275 0.00128251i
\(118\) 3.35505 7.93770i 0.308857 0.730725i
\(119\) −0.0967435 + 10.0797i −0.00886846 + 0.924007i
\(120\) 1.72470 3.18826i 0.157443 0.291047i
\(121\) 13.2028 + 1.69881i 1.20026 + 0.154437i
\(122\) −0.398099 + 0.240726i −0.0360422 + 0.0217943i
\(123\) 9.92037 + 6.80796i 0.894489 + 0.613853i
\(124\) 1.04458 19.1878i 0.0938060 1.72312i
\(125\) −9.08804 1.70593i −0.812859 0.152583i
\(126\) 4.67719 22.8912i 0.416677 2.03931i
\(127\) 5.69576 + 13.7197i 0.505417 + 1.21743i 0.947297 + 0.320356i \(0.103803\pi\)
−0.441880 + 0.897074i \(0.645688\pi\)
\(128\) −7.78885 6.44182i −0.688443 0.569381i
\(129\) 3.82802 + 32.1884i 0.337038 + 2.83403i
\(130\) −0.00158848 + 0.00803619i −0.000139319 + 0.000704821i
\(131\) 8.32484 + 4.26523i 0.727345 + 0.372655i 0.779850 0.625966i \(-0.215295\pi\)
−0.0525057 + 0.998621i \(0.516721\pi\)
\(132\) 11.6320 + 31.9942i 1.01244 + 2.78473i
\(133\) −7.42061 + 3.98359i −0.643449 + 0.345421i
\(134\) −0.524960 1.28771i −0.0453496 0.111241i
\(135\) 2.23196 + 1.36922i 0.192096 + 0.117844i
\(136\) 2.55900 4.14163i 0.219432 0.355142i
\(137\) −8.75661 15.4702i −0.748128 1.32171i −0.940300 0.340347i \(-0.889455\pi\)
0.192172 0.981361i \(-0.438447\pi\)
\(138\) 2.35675 + 2.10660i 0.200620 + 0.179326i
\(139\) −9.36297 + 17.8503i −0.794157 + 1.51404i 0.0624346 + 0.998049i \(0.480114\pi\)
−0.856591 + 0.515995i \(0.827422\pi\)
\(140\) −0.642465 + 7.41934i −0.0542982 + 0.627049i
\(141\) 2.69876 12.0266i 0.227277 1.01282i
\(142\) −7.21142 19.0716i −0.605169 1.60045i
\(143\) −0.0109741 0.0144527i −0.000917698 0.00120859i
\(144\) 6.40075 6.93429i 0.533395 0.577858i
\(145\) 0.184158 + 0.460134i 0.0152935 + 0.0382120i
\(146\) 11.2469 8.14940i 0.930802 0.674449i
\(147\) 0.296990 + 1.40756i 0.0244953 + 0.116093i
\(148\) 6.34972 + 2.70783i 0.521944 + 0.222582i
\(149\) −1.74981 6.77544i −0.143350 0.555066i −0.999279 0.0379724i \(-0.987910\pi\)
0.855929 0.517093i \(-0.172986\pi\)
\(150\) 20.1860 + 9.38233i 1.64818 + 0.766064i
\(151\) −4.86840 + 1.75238i −0.396185 + 0.142607i −0.529179 0.848510i \(-0.677500\pi\)
0.132994 + 0.991117i \(0.457541\pi\)
\(152\) 4.06236 + 0.208121i 0.329501 + 0.0168809i
\(153\) 11.9240 + 8.29570i 0.963998 + 0.670667i
\(154\) −20.0121 21.1312i −1.61262 1.70280i
\(155\) −7.60449 + 0.0486569i −0.610807 + 0.00390821i
\(156\) 0.0109310 0.0229394i 0.000875183 0.00183662i
\(157\) 4.51430 + 4.89060i 0.360280 + 0.390312i 0.888562 0.458757i \(-0.151705\pi\)
−0.528282 + 0.849069i \(0.677163\pi\)
\(158\) −5.92189 + 33.3077i −0.471120 + 2.64982i
\(159\) 20.6990 4.85398i 1.64154 0.384946i
\(160\) −4.74689 + 6.50723i −0.375275 + 0.514442i
\(161\) −1.45412 0.481749i −0.114601 0.0379671i
\(162\) 7.79641 + 8.02419i 0.612544 + 0.630440i
\(163\) 14.7292 3.75370i 1.15368 0.294013i 0.378407 0.925639i \(-0.376472\pi\)
0.775273 + 0.631627i \(0.217612\pi\)
\(164\) 8.84972 + 8.01287i 0.691047 + 0.625700i
\(165\) 12.3584 5.36391i 0.962097 0.417580i
\(166\) 0.732961 32.7244i 0.0568888 2.53991i
\(167\) 2.41935 + 13.1200i 0.187215 + 1.01525i 0.935883 + 0.352310i \(0.114604\pi\)
−0.748669 + 0.662944i \(0.769307\pi\)
\(168\) 3.16869 9.07556i 0.244470 0.700195i
\(169\) 1.86506 12.8655i 0.143466 0.989654i
\(170\) −7.19645 3.86325i −0.551942 0.296298i
\(171\) −1.27893 + 12.0691i −0.0978022 + 0.922951i
\(172\) −0.514464 + 32.1595i −0.0392275 + 2.45214i
\(173\) −17.6890 + 3.32043i −1.34487 + 0.252448i −0.806986 0.590570i \(-0.798903\pi\)
−0.537885 + 0.843018i \(0.680777\pi\)
\(174\) −0.354727 2.68888i −0.0268918 0.203844i
\(175\) −10.7837 0.276053i −0.815174 0.0208677i
\(176\) −2.50037 11.4860i −0.188473 0.865788i
\(177\) 8.79841 + 5.87382i 0.661329 + 0.441504i
\(178\) 7.26526 5.70208i 0.544555 0.427389i
\(179\) 0.671019 + 0.322390i 0.0501543 + 0.0240966i 0.457970 0.888968i \(-0.348577\pi\)
−0.407815 + 0.913064i \(0.633709\pi\)
\(180\) 8.31322 + 6.78640i 0.619631 + 0.505828i
\(181\) −4.68513 9.36479i −0.348243 0.696080i 0.649700 0.760191i \(-0.274894\pi\)
−0.997943 + 0.0641111i \(0.979579\pi\)
\(182\) −0.000764319 0.0217102i −5.66551e−5 0.00160927i
\(183\) −0.198569 0.535472i −0.0146786 0.0395832i
\(184\) 0.480575 + 0.562498i 0.0354284 + 0.0414679i
\(185\) 0.916970 2.57330i 0.0674170 0.189193i
\(186\) 40.3910 + 10.0188i 2.96161 + 0.734613i
\(187\) 16.9852 6.23687i 1.24208 0.456085i
\(188\) 4.25227 11.4669i 0.310129 0.836312i
\(189\) 6.42175 + 2.64194i 0.467114 + 0.192173i
\(190\) −0.0654967 6.82412i −0.00475163 0.495074i
\(191\) 5.76275 + 3.04627i 0.416978 + 0.220420i 0.662644 0.748935i \(-0.269434\pi\)
−0.245666 + 0.969355i \(0.579007\pi\)
\(192\) 24.2737 20.0757i 1.75180 1.44884i
\(193\) 8.95436 + 8.53465i 0.644549 + 0.614338i 0.940063 0.341001i \(-0.110766\pi\)
−0.295514 + 0.955338i \(0.595491\pi\)
\(194\) 1.12403 4.03112i 0.0807004 0.289418i
\(195\) −0.00932407 0.00376640i −0.000667711 0.000269717i
\(196\) 0.104934 + 1.42352i 0.00749525 + 0.101680i
\(197\) −1.78091 + 0.478211i −0.126884 + 0.0340711i −0.322216 0.946666i \(-0.604428\pi\)
0.195332 + 0.980737i \(0.437422\pi\)
\(198\) −41.4036 + 6.67994i −2.94242 + 0.474723i
\(199\) −2.00007 + 3.10225i −0.141781 + 0.219912i −0.904133 0.427250i \(-0.859482\pi\)
0.762352 + 0.647163i \(0.224044\pi\)
\(200\) 4.38777 + 2.80904i 0.310262 + 0.198629i
\(201\) 1.67362 0.336385i 0.118048 0.0237268i
\(202\) −19.3576 + 13.8383i −1.36200 + 0.973661i
\(203\) 0.676494 + 1.12687i 0.0474806 + 0.0790910i
\(204\) 18.6726 + 17.1255i 1.30734 + 1.19903i
\(205\) 2.95241 3.68836i 0.206205 0.257606i
\(206\) −20.9726 + 25.1935i −1.46123 + 1.75532i
\(207\) −1.75378 + 1.34053i −0.121896 + 0.0931734i
\(208\) −0.00480153 + 0.00734389i −0.000332926 + 0.000509207i
\(209\) 11.3995 + 9.93011i 0.788522 + 0.686880i
\(210\) −15.5210 4.38141i −1.07105 0.302346i
\(211\) −2.83179 17.2018i −0.194948 1.18422i −0.886790 0.462172i \(-0.847070\pi\)
0.691842 0.722049i \(-0.256799\pi\)
\(212\) 20.9985 2.02154i 1.44218 0.138840i
\(213\) 24.6573 4.30258i 1.68949 0.294808i
\(214\) −9.96792 5.85462i −0.681393 0.400214i
\(215\) 12.7157 0.569897i 0.867202 0.0388667i
\(216\) −1.99377 2.69673i −0.135659 0.183489i
\(217\) −19.8885 + 3.33946i −1.35012 + 0.226697i
\(218\) 7.68748 3.04824i 0.520662 0.206453i
\(219\) 7.23589 + 15.4385i 0.488956 + 1.04324i
\(220\) 12.8649 3.63161i 0.867351 0.244843i
\(221\) −0.0122110 0.00577087i −0.000821398 0.000388191i
\(222\) −8.34012 + 12.4066i −0.559752 + 0.832673i
\(223\) −7.17849 + 9.70947i −0.480707 + 0.650194i −0.975805 0.218643i \(-0.929837\pi\)
0.495098 + 0.868837i \(0.335132\pi\)
\(224\) −9.67907 + 19.0414i −0.646710 + 1.27226i
\(225\) −9.08057 + 12.6168i −0.605371 + 0.841119i
\(226\) 17.4035 17.6841i 1.15766 1.17633i
\(227\) −4.49163 7.59160i −0.298120 0.503872i 0.673884 0.738837i \(-0.264625\pi\)
−0.972004 + 0.234965i \(0.924502\pi\)
\(228\) −5.03077 + 20.5630i −0.333171 + 1.36182i
\(229\) −0.558658 + 2.56631i −0.0369172 + 0.169587i −0.991888 0.127112i \(-0.959429\pi\)
0.954971 + 0.296698i \(0.0958856\pi\)
\(230\) 0.892992 0.862107i 0.0588821 0.0568456i
\(231\) 30.0893 19.2631i 1.97973 1.26742i
\(232\) 0.00203079 0.634782i 0.000133328 0.0416755i
\(233\) −13.1416 + 8.06189i −0.860938 + 0.528152i −0.881796 0.471631i \(-0.843666\pi\)
0.0208583 + 0.999782i \(0.493360\pi\)
\(234\) 0.0252313 + 0.0185297i 0.00164942 + 0.00121132i
\(235\) −4.63177 1.40402i −0.302144 0.0915883i
\(236\) 7.87068 + 6.94520i 0.512337 + 0.452094i
\(237\) −38.7980 14.8125i −2.52020 0.962177i
\(238\) −20.4726 7.07451i −1.32704 0.458573i
\(239\) −6.63585 8.18210i −0.429238 0.529256i 0.515585 0.856838i \(-0.327575\pi\)
−0.944823 + 0.327582i \(0.893766\pi\)
\(240\) −4.44878 4.75818i −0.287168 0.307139i
\(241\) −6.06095 0.0387806i −0.390420 0.00249808i −0.188935 0.981990i \(-0.560503\pi\)
−0.201485 + 0.979492i \(0.564577\pi\)
\(242\) −12.4698 + 25.7431i −0.801588 + 1.65483i
\(243\) −17.8055 + 11.7230i −1.14222 + 0.752029i
\(244\) −0.124076 0.552921i −0.00794312 0.0353972i
\(245\) 0.559781 0.0756712i 0.0357631 0.00483446i
\(246\) −20.6406 + 15.5688i −1.31600 + 0.992630i
\(247\) −0.000685503 0.0112637i −4.36175e−5 0.000716693i
\(248\) 9.05417 + 3.59016i 0.574941 + 0.227976i
\(249\) 39.2899 + 8.42142i 2.48990 + 0.533686i
\(250\) 9.67678 17.3539i 0.612013 1.09756i
\(251\) −7.20678 + 24.0516i −0.454888 + 1.51812i 0.356884 + 0.934149i \(0.383839\pi\)
−0.811772 + 0.583974i \(0.801497\pi\)
\(252\) 24.6311 + 14.2558i 1.55161 + 0.898031i
\(253\) 0.114325 + 2.74731i 0.00718753 + 0.172722i
\(254\) −31.8417 + 2.24479i −1.99793 + 0.140851i
\(255\) 6.31587 7.78755i 0.395515 0.487676i
\(256\) −1.83698 + 1.14316i −0.114811 + 0.0714472i
\(257\) 6.10195 4.24521i 0.380629 0.264809i −0.365224 0.930920i \(-0.619008\pi\)
0.745853 + 0.666111i \(0.232042\pi\)
\(258\) −68.1992 14.1621i −4.24590 0.881692i
\(259\) 1.31375 7.12438i 0.0816323 0.442687i
\(260\) −0.00866768 0.00494285i −0.000537547 0.000306543i
\(261\) 1.89086 + 0.109006i 0.117041 + 0.00674731i
\(262\) −14.3709 + 14.0526i −0.887838 + 0.868174i
\(263\) 3.62787 + 14.8287i 0.223704 + 0.914379i 0.968884 + 0.247516i \(0.0796142\pi\)
−0.745180 + 0.666864i \(0.767636\pi\)
\(264\) −17.2495 + 0.441570i −1.06163 + 0.0271768i
\(265\) −1.30333 8.24600i −0.0800631 0.506548i
\(266\) −3.05392 17.8383i −0.187248 1.09374i
\(267\) 5.20205 + 10.0738i 0.318360 + 0.616505i
\(268\) 1.69038 0.108304i 0.103256 0.00661574i
\(269\) −16.2590 18.3072i −0.991327 1.11621i −0.993225 0.116209i \(-0.962926\pi\)
0.00189758 0.999998i \(-0.499396\pi\)
\(270\) −4.31280 + 3.61364i −0.262468 + 0.219919i
\(271\) −13.8237 + 0.265379i −0.839727 + 0.0161206i −0.437283 0.899324i \(-0.644059\pi\)
−0.402444 + 0.915445i \(0.631839\pi\)
\(272\) −5.59731 6.72384i −0.339387 0.407692i
\(273\) −0.0260019 0.00592227i −0.00157371 0.000358432i
\(274\) 37.4969 7.28727i 2.26527 0.440240i
\(275\) 6.38276 + 18.2811i 0.384895 + 1.10239i
\(276\) −3.34470 + 1.90736i −0.201327 + 0.114809i
\(277\) 24.9413 12.3783i 1.49858 0.743740i 0.505679 0.862722i \(-0.331242\pi\)
0.992896 + 0.118982i \(0.0379629\pi\)
\(278\) −29.9837 31.2573i −1.79830 1.87469i
\(279\) −12.1646 + 26.3926i −0.728275 + 1.58008i
\(280\) −3.46258 1.50287i −0.206929 0.0898134i
\(281\) 4.39975 + 9.70873i 0.262467 + 0.579174i 0.994809 0.101763i \(-0.0324483\pi\)
−0.732342 + 0.680937i \(0.761573\pi\)
\(282\) 22.6641 + 13.7047i 1.34963 + 0.816105i
\(283\) 8.53162 + 6.78463i 0.507152 + 0.403304i 0.842422 0.538818i \(-0.181129\pi\)
−0.335270 + 0.942122i \(0.608828\pi\)
\(284\) 24.8173 0.953209i 1.47264 0.0565626i
\(285\) 8.24354 + 1.49287i 0.488305 + 0.0884299i
\(286\) 0.0369366 0.0124999i 0.00218411 0.000739132i
\(287\) 6.17168 10.9034i 0.364303 0.643609i
\(288\) 14.8184 + 26.9790i 0.873180 + 1.58975i
\(289\) −2.37993 + 2.61164i −0.139996 + 0.153626i
\(290\) −1.06322 + 0.0612937i −0.0624347 + 0.00359929i
\(291\) 4.60178 + 2.28386i 0.269761 + 0.133882i
\(292\) 5.06289 + 16.1424i 0.296283 + 0.944665i
\(293\) 0.152060 0.0397899i 0.00888343 0.00232455i −0.248705 0.968579i \(-0.580005\pi\)
0.257588 + 0.966255i \(0.417072\pi\)
\(294\) −3.07069 0.355224i −0.179086 0.0207171i
\(295\) 2.55421 3.27596i 0.148712 0.190734i
\(296\) −2.32340 + 2.61608i −0.135045 + 0.152057i
\(297\) 0.358837 12.4594i 0.0208218 0.722966i
\(298\) 14.9996 + 1.05745i 0.868904 + 0.0612563i
\(299\) 0.00140174 0.00149922i 8.10646e−5 8.67022e-5i
\(300\) −18.6441 + 19.6867i −1.07642 + 1.13661i
\(301\) 33.0497 6.86302i 1.90496 0.395578i
\(302\) −0.248966 11.1156i −0.0143264 0.639629i
\(303\) −12.2273 26.5287i −0.702442 1.52403i
\(304\) 2.67263 6.80366i 0.153286 0.390216i
\(305\) −0.215426 + 0.0623033i −0.0123353 + 0.00356748i
\(306\) −25.0391 + 18.6363i −1.43139 + 1.06537i
\(307\) −13.5334 + 13.4041i −0.772391 + 0.765014i −0.976865 0.213858i \(-0.931397\pi\)
0.204473 + 0.978872i \(0.434452\pi\)
\(308\) 32.1472 14.9418i 1.83176 0.851389i
\(309\) −25.5474 31.0915i −1.45334 1.76873i
\(310\) 5.08939 15.5282i 0.289058 0.881942i
\(311\) 13.0865 8.73652i 0.742065 0.495403i −0.125891 0.992044i \(-0.540179\pi\)
0.867956 + 0.496641i \(0.165434\pi\)
\(312\) 0.00926618 + 0.00894570i 0.000524594 + 0.000506451i
\(313\) 19.2416 + 3.86740i 1.08760 + 0.218599i 0.707760 0.706453i \(-0.249706\pi\)
0.379840 + 0.925052i \(0.375979\pi\)
\(314\) −13.0452 + 5.86153i −0.736185 + 0.330786i
\(315\) 5.03905 10.0722i 0.283918 0.567506i
\(316\) −36.1810 19.7222i −2.03534 1.10946i
\(317\) −11.6614 + 5.88084i −0.654972 + 0.330301i −0.746387 0.665512i \(-0.768213\pi\)
0.0914155 + 0.995813i \(0.470861\pi\)
\(318\) −4.23239 + 45.4884i −0.237341 + 2.55087i
\(319\) 1.46253 1.85124i 0.0818858 0.103650i
\(320\) −7.16107 10.0853i −0.400316 0.563783i
\(321\) 9.35542 10.6707i 0.522169 0.595579i
\(322\) 1.97376 2.63424i 0.109994 0.146801i
\(323\) 10.9379 + 2.63891i 0.608600 + 0.146833i
\(324\) −12.2836 + 5.90162i −0.682420 + 0.327868i
\(325\) 0.00638390 0.0129670i 0.000354115 0.000719282i
\(326\) −2.40113 + 32.5735i −0.132986 + 1.80408i
\(327\) 1.90483 + 9.97160i 0.105337 + 0.551431i
\(328\) −5.27553 + 2.96387i −0.291292 + 0.163652i
\(329\) −12.7193 1.71940i −0.701239 0.0947935i
\(330\) 2.49747 + 28.8413i 0.137481 + 1.58766i
\(331\) 25.6312 + 10.7371i 1.40882 + 0.590162i 0.953833 0.300338i \(-0.0970995\pi\)
0.454983 + 0.890500i \(0.349645\pi\)
\(332\) 37.5142 + 13.5032i 2.05886 + 0.741086i
\(333\) −7.41720 7.34635i −0.406460 0.402578i
\(334\) −28.3841 4.02206i −1.55311 0.220077i
\(335\) −0.0834181 0.665113i −0.00455762 0.0363390i
\(336\) −13.6570 10.5781i −0.745051 0.577082i
\(337\) −5.61566 + 8.95998i −0.305904 + 0.488081i −0.964380 0.264521i \(-0.914786\pi\)
0.658475 + 0.752602i \(0.271202\pi\)
\(338\) 24.9424 + 12.5784i 1.35669 + 0.684174i
\(339\) 17.3147 + 25.0582i 0.940403 + 1.36098i
\(340\) 7.24550 6.81795i 0.392942 0.369755i
\(341\) 18.2335 + 31.2725i 0.987399 + 1.69350i
\(342\) −23.7196 10.8407i −1.28261 0.586199i
\(343\) −16.9677 + 5.14340i −0.916171 + 0.277718i
\(344\) −15.3741 5.42305i −0.828916 0.292391i
\(345\) 0.833831 + 1.27533i 0.0448919 + 0.0686617i
\(346\) 5.30344 38.3089i 0.285115 2.05950i
\(347\) 1.82088 + 0.804200i 0.0977497 + 0.0431717i 0.452305 0.891863i \(-0.350602\pi\)
−0.354555 + 0.935035i \(0.615368\pi\)
\(348\) 3.24294 + 0.630243i 0.173840 + 0.0337846i
\(349\) −1.04397 7.20150i −0.0558825 0.385487i −0.998646 0.0520247i \(-0.983433\pi\)
0.942763 0.333463i \(-0.108217\pi\)
\(350\) 7.92022 21.7847i 0.423354 1.16444i
\(351\) −0.00681637 + 0.00633240i −0.000363831 + 0.000337998i
\(352\) 38.1153 + 4.16231i 2.03155 + 0.221852i
\(353\) −6.25175 6.27179i −0.332747 0.333814i 0.521915 0.852997i \(-0.325218\pi\)
−0.854663 + 0.519184i \(0.826236\pi\)
\(354\) −17.9717 + 13.9200i −0.955186 + 0.739842i
\(355\) −0.973137 9.78018i −0.0516487 0.519078i
\(356\) 3.77612 + 10.5970i 0.200134 + 0.561638i
\(357\) 13.2460 23.0561i 0.701050 1.22026i
\(358\) −1.11474 + 1.14731i −0.0589159 + 0.0606372i
\(359\) −8.05747 + 4.19355i −0.425257 + 0.221327i −0.660839 0.750528i \(-0.729799\pi\)
0.235582 + 0.971855i \(0.424300\pi\)
\(360\) −4.59970 + 2.90340i −0.242426 + 0.153022i
\(361\) −2.51897 9.26250i −0.132577 0.487500i
\(362\) 22.2785 3.15688i 1.17093 0.165922i
\(363\) −28.1685 20.9655i −1.47847 1.10040i
\(364\) −0.0247804 0.00927956i −0.00129884 0.000486381i
\(365\) 6.25471 2.38796i 0.327386 0.124991i
\(366\) 1.22657 0.0392535i 0.0641137 0.00205181i
\(367\) 0.474417 + 4.21923i 0.0247643 + 0.220242i 1.00000 0.000928212i \(-0.000295459\pi\)
−0.975235 + 0.221170i \(0.929012\pi\)
\(368\) 1.23273 0.497954i 0.0642606 0.0259577i
\(369\) −7.97453 16.1980i −0.415138 0.843232i
\(370\) 4.61773 + 3.62419i 0.240065 + 0.188412i
\(371\) −6.89525 21.0380i −0.357983 1.09224i
\(372\) −27.1938 + 42.7780i −1.40993 + 2.21793i
\(373\) 1.45190 34.8903i 0.0751767 1.80655i −0.389451 0.921047i \(-0.627335\pi\)
0.464628 0.885506i \(-0.346188\pi\)
\(374\) 1.11932 + 38.8647i 0.0578789 + 2.00964i
\(375\) 18.6963 + 15.6654i 0.965472 + 0.808958i
\(376\) 4.82702 + 3.88928i 0.248934 + 0.200574i
\(377\) −0.00175061 0.000191172i −9.01609e−5 9.84585e-6i
\(378\) −9.76481 + 11.2824i −0.502247 + 0.580306i
\(379\) 25.3546 + 7.86319i 1.30238 + 0.403905i 0.867883 0.496768i \(-0.165480\pi\)
0.434497 + 0.900673i \(0.356926\pi\)
\(380\) 7.90740 + 2.56368i 0.405641 + 0.131514i
\(381\) 4.62757 38.9115i 0.237077 1.99349i
\(382\) −10.1390 + 9.66379i −0.518758 + 0.494442i
\(383\) 5.06058 + 9.49964i 0.258584 + 0.485409i 0.977845 0.209331i \(-0.0671286\pi\)
−0.719261 + 0.694740i \(0.755520\pi\)
\(384\) 9.58946 + 24.8782i 0.489360 + 1.26956i
\(385\) −6.67498 12.3392i −0.340188 0.628866i
\(386\) −23.4999 + 12.4223i −1.19611 + 0.632280i
\(387\) 18.6503 44.9241i 0.948047 2.28362i
\(388\) 4.22134 + 2.85738i 0.214306 + 0.145062i
\(389\) 11.8385 + 4.34704i 0.600238 + 0.220404i 0.626719 0.779245i \(-0.284397\pi\)
−0.0264806 + 0.999649i \(0.508430\pi\)
\(390\) 0.0140363 0.0164290i 0.000710754 0.000831916i
\(391\) 1.01945 + 1.77447i 0.0515560 + 0.0897390i
\(392\) −0.701078 0.178668i −0.0354098 0.00902410i
\(393\) −13.6344 20.5651i −0.687763 1.03737i
\(394\) 0.240704 3.95508i 0.0121265 0.199254i
\(395\) −6.92067 + 14.7660i −0.348216 + 0.742957i
\(396\) 8.29790 50.4060i 0.416985 2.53299i
\(397\) 0.790959 11.7555i 0.0396971 0.589993i −0.933289 0.359127i \(-0.883074\pi\)
0.972986 0.230866i \(-0.0741557\pi\)
\(398\) −4.95652 6.19203i −0.248448 0.310378i
\(399\) 22.2127 + 0.426427i 1.11203 + 0.0213480i
\(400\) 7.29037 5.87408i 0.364519 0.293704i
\(401\) −21.4601 + 21.5288i −1.07166 + 1.07510i −0.0747032 + 0.997206i \(0.523801\pi\)
−0.996962 + 0.0778931i \(0.975181\pi\)
\(402\) −0.456490 + 3.63971i −0.0227677 + 0.181532i
\(403\) 0.00709081 0.0260736i 0.000353219 0.00129882i
\(404\) −8.49683 27.7108i −0.422733 1.37867i
\(405\) 2.62649 + 4.71025i 0.130512 + 0.234054i
\(406\) −2.75770 + 0.609568i −0.136862 + 0.0302523i
\(407\) −12.7958 + 2.31727i −0.634266 + 0.114863i
\(408\) −11.2363 + 6.21846i −0.556279 + 0.307859i
\(409\) 7.18375 + 7.98521i 0.355214 + 0.394843i 0.894345 0.447379i \(-0.147642\pi\)
−0.539131 + 0.842222i \(0.681247\pi\)
\(410\) 5.50101 + 8.53243i 0.271675 + 0.421387i
\(411\) 0.150016 + 46.8919i 0.00739974 + 2.31301i
\(412\) −20.9879 33.9679i −1.03400 1.67348i
\(413\) 5.30335 9.65554i 0.260961 0.475118i
\(414\) −1.53488 4.48817i −0.0754352 0.220582i
\(415\) 4.43207 15.1431i 0.217562 0.743345i
\(416\) −0.0177415 0.0224569i −0.000869849 0.00110104i
\(417\) 44.5961 28.9543i 2.18388 1.41790i
\(418\) −28.0116 + 16.4525i −1.37009 + 0.804718i
\(419\) −5.96100 + 5.05993i −0.291214 + 0.247194i −0.780828 0.624746i \(-0.785203\pi\)
0.489614 + 0.871939i \(0.337138\pi\)
\(420\) 11.0636 16.2327i 0.539851 0.792075i
\(421\) 6.31974 0.649245i 0.308005 0.0316423i 0.0530398 0.998592i \(-0.483109\pi\)
0.254966 + 0.966950i \(0.417936\pi\)
\(422\) 36.9827 + 5.96669i 1.80029 + 0.290454i
\(423\) −12.3701 + 13.7502i −0.601456 + 0.668558i
\(424\) −2.40789 + 10.4179i −0.116937 + 0.505938i
\(425\) 10.4952 + 9.87593i 0.509094 + 0.479053i
\(426\) −8.05668 + 53.1777i −0.390347 + 2.57647i
\(427\) −0.537684 + 0.254108i −0.0260204 + 0.0122972i
\(428\) 10.6175 9.24889i 0.513216 0.447062i
\(429\) 0.00656435 + 0.0474169i 0.000316930 + 0.00228931i
\(430\) −7.51466 + 26.2985i −0.362389 + 1.26822i
\(431\) −2.05918 10.4175i −0.0991871 0.501793i −0.997986 0.0634318i \(-0.979795\pi\)
0.898799 0.438361i \(-0.144441\pi\)
\(432\) −5.73297 + 1.85870i −0.275828 + 0.0894267i
\(433\) 22.7531 0.291181i 1.09345 0.0139933i 0.536009 0.844212i \(-0.319931\pi\)
0.557437 + 0.830219i \(0.311785\pi\)
\(434\) 6.76537 42.8035i 0.324748 2.05463i
\(435\) 0.170992 1.29614i 0.00819844 0.0621453i
\(436\) 0.547567 + 10.0582i 0.0262237 + 0.481702i
\(437\) −0.889441 + 1.46034i −0.0425477 + 0.0698573i
\(438\) −36.3948 + 4.21023i −1.73901 + 0.201173i
\(439\) −26.6833 + 10.3834i −1.27353 + 0.495573i −0.901552 0.432671i \(-0.857571\pi\)
−0.371973 + 0.928243i \(0.621319\pi\)
\(440\) −0.325019 + 6.76777i −0.0154947 + 0.322641i
\(441\) 0.646010 2.05973i 0.0307624 0.0980822i
\(442\) 0.0200903 0.0209437i 0.000955599 0.000996192i
\(443\) −7.69544 19.5901i −0.365622 0.930755i −0.988877 0.148736i \(-0.952479\pi\)
0.623255 0.782018i \(-0.285810\pi\)
\(444\) −11.1043 14.4315i −0.526986 0.684889i
\(445\) 4.09512 1.74636i 0.194128 0.0827853i
\(446\) −14.8862 21.2517i −0.704884 1.00630i
\(447\) −4.73002 + 17.8428i −0.223722 + 0.843935i
\(448\) −23.0081 23.3791i −1.08703 1.10456i
\(449\) −26.7215 + 4.13592i −1.26106 + 0.195186i −0.748310 0.663349i \(-0.769134\pi\)
−0.512754 + 0.858535i \(0.671375\pi\)
\(450\) −19.5124 27.1111i −0.919825 1.27803i
\(451\) −22.2250 3.43996i −1.04653 0.161981i
\(452\) 13.6946 + 26.9411i 0.644142 + 1.26720i
\(453\) 13.4604 + 2.26012i 0.632423 + 0.106190i
\(454\) 18.5334 3.97245i 0.869814 0.186436i
\(455\) −0.00306979 + 0.0100116i −0.000143914 + 0.000469349i
\(456\) −9.07361 5.72739i −0.424911 0.268210i
\(457\) −26.1759 2.18231i −1.22446 0.102084i −0.546673 0.837346i \(-0.684106\pi\)
−0.677783 + 0.735262i \(0.737059\pi\)
\(458\) −4.84798 2.88932i −0.226531 0.135009i
\(459\) −4.04414 8.34888i −0.188764 0.389692i
\(460\) 0.650382 + 1.36486i 0.0303242 + 0.0636371i
\(461\) 10.5921 26.4652i 0.493323 1.23261i −0.447675 0.894196i \(-0.647748\pi\)
0.940998 0.338411i \(-0.109890\pi\)
\(462\) 18.7209 + 74.4536i 0.870973 + 3.46389i
\(463\) 3.72542 3.33001i 0.173135 0.154759i −0.575357 0.817903i \(-0.695137\pi\)
0.748492 + 0.663144i \(0.230778\pi\)
\(464\) −1.08053 0.365667i −0.0501624 0.0169757i
\(465\) 17.5515 + 9.71344i 0.813929 + 0.450450i
\(466\) −7.46047 32.2782i −0.345599 1.49526i
\(467\) 8.79683 15.0876i 0.407069 0.698169i −0.586679 0.809820i \(-0.699565\pi\)
0.993748 + 0.111651i \(0.0356137\pi\)
\(468\) −0.0311609 + 0.0219763i −0.00144041 + 0.00101586i
\(469\) −0.499332 1.70607i −0.0230570 0.0787791i
\(470\) 6.02111 8.47979i 0.277733 0.391144i
\(471\) −4.06298 17.0799i −0.187212 0.787002i
\(472\) −4.60480 + 2.66514i −0.211953 + 0.122673i
\(473\) −32.5052 51.1332i −1.49459 2.35111i
\(474\) 56.6540 68.9488i 2.60221 3.16692i
\(475\) −3.01088 + 11.6584i −0.138149 + 0.534926i
\(476\) 16.0893 20.9103i 0.737454 0.958420i
\(477\) −30.6472 8.86346i −1.40324 0.405830i
\(478\) 21.1996 7.93865i 0.969646 0.363106i
\(479\) −2.09438 + 1.84811i −0.0956947 + 0.0844425i −0.708147 0.706065i \(-0.750468\pi\)
0.612452 + 0.790508i \(0.290183\pi\)
\(480\) 19.3244 8.83195i 0.882034 0.403122i
\(481\) 0.00793228 + 0.00559426i 0.000361681 + 0.000255076i
\(482\) 4.21440 12.3234i 0.191961 0.561315i
\(483\) 2.72171 + 2.98671i 0.123842 + 0.135900i
\(484\) −24.9112 24.3595i −1.13233 1.10725i
\(485\) 1.02721 1.73616i 0.0466433 0.0788350i
\(486\) −11.7382 44.2793i −0.532454 2.00855i
\(487\) 1.00403 1.19052i 0.0454968 0.0539477i −0.741218 0.671264i \(-0.765752\pi\)
0.786715 + 0.617316i \(0.211780\pi\)
\(488\) 0.285721 + 0.0293529i 0.0129340 + 0.00132874i
\(489\) −38.7237 10.3981i −1.75115 0.470220i
\(490\) −0.227750 + 1.19225i −0.0102887 + 0.0538602i
\(491\) −6.46970 19.3211i −0.291974 0.871947i −0.988071 0.154000i \(-0.950784\pi\)
0.696097 0.717947i \(-0.254918\pi\)
\(492\) −9.99936 29.8620i −0.450806 1.34628i
\(493\) 0.329462 1.72470i 0.0148382 0.0776767i
\(494\) 0.0234188 + 0.00628843i 0.00105366 + 0.000282930i
\(495\) −20.1103 2.06599i −0.903892 0.0928594i
\(496\) 11.2841 13.3801i 0.506670 0.600784i
\(497\) −6.67880 25.1941i −0.299585 1.13011i
\(498\) −43.9671 + 74.3117i −1.97021 + 3.32999i
\(499\) −20.4153 19.9632i −0.913916 0.893675i 0.0807597 0.996734i \(-0.474265\pi\)
−0.994675 + 0.103059i \(0.967137\pi\)
\(500\) 16.3017 + 17.8889i 0.729033 + 0.800014i
\(501\) 11.3877 33.2989i 0.508763 1.48768i
\(502\) −44.0906 31.0950i −1.96786 1.38784i
\(503\) 38.3657 17.5345i 1.71064 0.781826i 0.713983 0.700163i \(-0.246889\pi\)
0.996660 0.0816626i \(-0.0260230\pi\)
\(504\) −10.8159 + 9.54416i −0.481781 + 0.425130i
\(505\) −10.7418 + 4.02250i −0.478003 + 0.178999i
\(506\) −5.67596 1.64154i −0.252327 0.0729752i
\(507\) −20.9120 + 27.1780i −0.928735 + 1.20702i
\(508\) 9.72244 37.6463i 0.431364 1.67029i
\(509\) −7.34064 + 8.93367i −0.325368 + 0.395978i −0.909516 0.415670i \(-0.863547\pi\)
0.584147 + 0.811648i \(0.301429\pi\)
\(510\) 11.5587 + 18.1827i 0.511828 + 0.805144i
\(511\) 15.3666 8.89376i 0.679777 0.393437i
\(512\) −5.75419 24.1894i −0.254302 1.06903i
\(513\) 4.48745 6.31987i 0.198126 0.279029i
\(514\) 4.48674 + 15.3299i 0.197902 + 0.676173i
\(515\) −12.9131 + 9.10700i −0.569020 + 0.401302i
\(516\) 42.7347 73.2948i 1.88129 3.22662i
\(517\) 5.18824 + 22.4473i 0.228179 + 0.987229i
\(518\) 13.6203 + 7.53786i 0.598444 + 0.331195i
\(519\) 44.9709 + 15.2188i 1.97400 + 0.668030i
\(520\) 0.00377068 0.00337046i 0.000165355 0.000147805i
\(521\) 8.56973 + 34.0822i 0.375447 + 1.49317i 0.806714 + 0.590942i \(0.201244\pi\)
−0.431267 + 0.902224i \(0.641933\pi\)
\(522\) −1.51224 + 3.77846i −0.0661891 + 0.165379i
\(523\) −5.07440 10.6489i −0.221888 0.465645i 0.761262 0.648444i \(-0.224580\pi\)
−0.983150 + 0.182799i \(0.941484\pi\)
\(524\) −10.6731 22.0339i −0.466255 0.962555i
\(525\) 24.4435 + 14.5679i 1.06680 + 0.635797i
\(526\) −32.6905 2.72544i −1.42537 0.118835i
\(527\) 22.7829 + 14.3809i 0.992437 + 0.626440i
\(528\) −9.09012 + 29.6457i −0.395597 + 1.29016i
\(529\) 22.1851 4.75517i 0.964570 0.206746i
\(530\) 17.6914 + 2.97055i 0.768465 + 0.129032i
\(531\) −7.19332 14.1512i −0.312163 0.614112i
\(532\) 21.7849 + 3.37185i 0.944497 + 0.146188i
\(533\) 0.00980616 + 0.0136249i 0.000424752 + 0.000590162i
\(534\) −24.0758 + 3.72643i −1.04186 + 0.161258i
\(535\) −3.90865 3.97167i −0.168986 0.171710i
\(536\) −0.219997 + 0.829882i −0.00950241 + 0.0358455i
\(537\) −1.12665 1.60841i −0.0486184 0.0694080i
\(538\) 48.3963 20.6385i 2.08651 0.889790i
\(539\) −1.63976 2.13108i −0.0706293 0.0917923i
\(540\) −2.50583 6.37904i −0.107834 0.274510i
\(541\) −7.42333 + 7.73866i −0.319154 + 0.332711i −0.861798 0.507252i \(-0.830661\pi\)
0.542644 + 0.839963i \(0.317423\pi\)
\(542\) 8.89113 28.3483i 0.381907 1.21766i
\(543\) −1.32501 + 27.5903i −0.0568617 + 1.18401i
\(544\) 26.5936 10.3485i 1.14019 0.443688i
\(545\) 3.95993 0.458094i 0.169625 0.0196226i
\(546\) 0.0298084 0.0489411i 0.00127568 0.00209448i
\(547\) −0.115815 2.12740i −0.00495189 0.0909609i 0.995009 0.0997833i \(-0.0318149\pi\)
−0.999961 + 0.00882234i \(0.997192\pi\)
\(548\) −6.08544 + 46.1285i −0.259957 + 1.97051i
\(549\) −0.133792 + 0.846480i −0.00571009 + 0.0361269i
\(550\) −41.6047 + 0.532432i −1.77403 + 0.0227030i
\(551\) 1.39558 0.452463i 0.0594535 0.0192756i
\(552\) −0.378439 1.91454i −0.0161074 0.0814883i
\(553\) −11.8817 + 41.5815i −0.505262 + 1.76823i
\(554\) 8.20477 + 59.2663i 0.348587 + 2.51798i
\(555\) −5.43364 + 4.73323i −0.230645 + 0.200915i
\(556\) 47.6998 22.5428i 2.02292 0.956028i
\(557\) −4.89369 + 32.3006i −0.207352 + 1.36862i 0.609964 + 0.792429i \(0.291184\pi\)
−0.817316 + 0.576189i \(0.804539\pi\)
\(558\) −45.4780 42.7943i −1.92524 1.81163i
\(559\) −0.0101847 + 0.0440647i −0.000430766 + 0.00186374i
\(560\) −4.53668 + 5.04282i −0.191710 + 0.213098i
\(561\) −47.1204 7.60228i −1.98943 0.320969i
\(562\) −22.7846 + 2.34072i −0.961109 + 0.0987374i
\(563\) 2.46867 3.62206i 0.104042 0.152652i −0.770771 0.637112i \(-0.780129\pi\)
0.874813 + 0.484461i \(0.160984\pi\)
\(564\) −24.5950 + 20.8772i −1.03564 + 0.879089i
\(565\) 10.3128 6.05718i 0.433862 0.254828i
\(566\) −19.6455 + 12.7550i −0.825764 + 0.536132i
\(567\) 8.86590 + 11.2223i 0.372333 + 0.471293i
\(568\) −3.53598 + 12.0814i −0.148367 + 0.506926i
\(569\) −3.28936 9.61848i −0.137897 0.403228i 0.855521 0.517767i \(-0.173237\pi\)
−0.993419 + 0.114540i \(0.963461\pi\)
\(570\) −8.66644 + 15.7785i −0.362997 + 0.660891i
\(571\) 12.7037 + 20.5604i 0.531635 + 0.860428i 0.999730 0.0232505i \(-0.00740153\pi\)
−0.468095 + 0.883678i \(0.655059\pi\)
\(572\) 0.000151953 0.0474973i 6.35347e−6 0.00198596i
\(573\) −9.31711 14.4515i −0.389228 0.603718i
\(574\) 18.0060 + 20.0149i 0.751557 + 0.835405i
\(575\) −1.91615 + 1.06045i −0.0799091 + 0.0442238i
\(576\) −46.5117 + 8.42307i −1.93799 + 0.350961i
\(577\) −20.7429 + 4.58506i −0.863540 + 0.190879i −0.625354 0.780341i \(-0.715045\pi\)
−0.238185 + 0.971220i \(0.576553\pi\)
\(578\) −3.69769 6.63129i −0.153804 0.275825i
\(579\) −9.56584 31.1972i −0.397543 1.29651i
\(580\) 0.340421 1.25176i 0.0141352 0.0519766i
\(581\) 5.20712 41.5177i 0.216028 1.72244i
\(582\) −7.79340 + 7.81837i −0.323047 + 0.324082i
\(583\) −30.9451 + 24.9335i −1.28162 + 1.03264i
\(584\) −8.57341 0.164587i −0.354770 0.00681068i
\(585\) 0.00942996 + 0.0117806i 0.000389881 + 0.000487066i
\(586\) −0.0226739 + 0.336987i −0.000936649 + 0.0139208i
\(587\) −0.585457 + 3.55638i −0.0241644 + 0.146788i −0.996068 0.0885914i \(-0.971763\pi\)
0.971904 + 0.235379i \(0.0756331\pi\)
\(588\) 1.59793 3.40935i 0.0658974 0.140599i
\(589\) −1.36746 + 22.4691i −0.0563450 + 0.925823i
\(590\) 4.93239 + 7.43967i 0.203063 + 0.306286i
\(591\) 4.71355 + 1.20124i 0.193890 + 0.0494123i
\(592\) 3.13217 + 5.45189i 0.128731 + 0.224071i
\(593\) −11.8296 + 13.8462i −0.485785 + 0.568597i −0.948040 0.318150i \(-0.896938\pi\)
0.462256 + 0.886747i \(0.347040\pi\)
\(594\) 25.1425 + 9.23218i 1.03161 + 0.378801i
\(595\) −8.64654 5.85276i −0.354474 0.239940i
\(596\) −7.02270 + 16.9160i −0.287661 + 0.692907i
\(597\) 8.60795 4.55027i 0.352300 0.186230i
\(598\) 0.00209843 + 0.00387911i 8.58111e−5 + 0.000158629i
\(599\) 1.79920 + 4.66772i 0.0735132 + 0.190718i 0.964954 0.262420i \(-0.0845205\pi\)
−0.891441 + 0.453138i \(0.850305\pi\)
\(600\) −6.46147 12.1294i −0.263788 0.495179i
\(601\) −25.8947 + 24.6810i −1.05627 + 1.00676i −0.0563018 + 0.998414i \(0.517931\pi\)
−0.999965 + 0.00834379i \(0.997344\pi\)
\(602\) −8.56563 + 72.0252i −0.349109 + 2.93553i
\(603\) −2.43677 0.790030i −0.0992328 0.0321725i
\(604\) 12.9351 + 4.01154i 0.526322 + 0.163227i
\(605\) −9.02337 + 10.4258i −0.366852 + 0.423868i
\(606\) 62.3979 6.81404i 2.53474 0.276801i
\(607\) 22.4488 + 18.0877i 0.911168 + 0.734156i 0.964406 0.264426i \(-0.0851823\pi\)
−0.0532381 + 0.998582i \(0.516954\pi\)
\(608\) 18.2755 + 15.3128i 0.741168 + 0.621016i
\(609\) −0.0998115 3.46561i −0.00404457 0.140434i
\(610\) 0.0200353 0.481465i 0.000811207 0.0194939i
\(611\) 0.00922575 0.0145128i 0.000373234 0.000587126i
\(612\) −11.8413 36.1288i −0.478655 1.46042i
\(613\) 31.4490 + 24.6825i 1.27021 + 0.996916i 0.999412 + 0.0342813i \(0.0109142\pi\)
0.270802 + 0.962635i \(0.412711\pi\)
\(614\) −18.0786 36.7214i −0.729592 1.48196i
\(615\) −11.5554 + 4.66773i −0.465959 + 0.188221i
\(616\) 2.00773 + 17.8557i 0.0808936 + 0.719428i
\(617\) 37.7351 1.20762i 1.51916 0.0486171i 0.738788 0.673937i \(-0.235398\pi\)
0.780368 + 0.625320i \(0.215032\pi\)
\(618\) 80.7833 30.8419i 3.24958 1.24064i
\(619\) −0.0544529 0.0203911i −0.00218865 0.000819588i 0.349596 0.936901i \(-0.386319\pi\)
−0.351784 + 0.936081i \(0.614425\pi\)
\(620\) 15.9671 + 11.8841i 0.641255 + 0.477279i
\(621\) 1.39581 0.197788i 0.0560121 0.00793697i
\(622\) 8.87277 + 32.6260i 0.355766 + 1.30818i
\(623\) 9.98365 6.30182i 0.399987 0.252477i
\(624\) 0.0205311 0.0106855i 0.000821901 0.000427762i
\(625\) −7.00871 + 7.21347i −0.280348 + 0.288539i
\(626\) −21.0088 + 36.5682i −0.839680 + 1.46156i
\(627\) −13.3862 37.5657i −0.534592 1.50023i
\(628\) −1.72482 17.3347i −0.0688277 0.691729i
\(629\) −7.65151 + 5.92650i −0.305086 + 0.236305i
\(630\) 17.0851 + 17.1399i 0.680688 + 0.682869i
\(631\) −37.7516 4.12259i −1.50287 0.164118i −0.680362 0.732876i \(-0.738177\pi\)
−0.822504 + 0.568759i \(0.807424\pi\)
\(632\) 15.3021 14.2157i 0.608686 0.565469i
\(633\) −15.7130 + 43.2190i −0.624537 + 1.71780i
\(634\) −4.02628 27.7740i −0.159904 1.10304i
\(635\) −15.1044 2.93544i −0.599400 0.116489i
\(636\) −50.9036 22.4819i −2.01846 0.891464i
\(637\) −0.000275235 0.00198813i −1.09052e−5 7.87725e-5i
\(638\) 2.77424 + 4.24316i 0.109833 + 0.167988i
\(639\) −35.4204 12.4942i −1.40121 0.494262i
\(640\) 10.0193 3.03713i 0.396048 0.120053i
\(641\) −17.1469 7.83677i −0.677263 0.309534i 0.0471618 0.998887i \(-0.484982\pi\)
−0.724425 + 0.689353i \(0.757895\pi\)
\(642\) 15.3595 + 26.3433i 0.606191 + 1.03969i
\(643\) −24.2641 + 22.8323i −0.956883 + 0.900418i −0.995102 0.0988514i \(-0.968483\pi\)
0.0382194 + 0.999269i \(0.487831\pi\)
\(644\) 2.27925 + 3.29859i 0.0898150 + 0.129983i
\(645\) −29.9795 15.1186i −1.18044 0.595294i
\(646\) −12.8400 + 20.4866i −0.505182 + 0.806035i
\(647\) 4.66064 + 3.60991i 0.183229 + 0.141920i 0.699840 0.714300i \(-0.253255\pi\)
−0.516611 + 0.856220i \(0.672807\pi\)
\(648\) −0.859586 6.85369i −0.0337677 0.269238i
\(649\) −19.5785 2.77429i −0.768524 0.108901i
\(650\) 0.0220661 + 0.0218553i 0.000865503 + 0.000857236i
\(651\) 50.0537 + 18.0168i 1.96176 + 0.706135i
\(652\) −36.6947 15.3717i −1.43708 0.602001i
\(653\) 0.608262 + 7.02436i 0.0238031 + 0.274884i 0.998647 + 0.0519967i \(0.0165585\pi\)
−0.974844 + 0.222888i \(0.928452\pi\)
\(654\) −21.6179 2.92231i −0.845327 0.114271i
\(655\) −8.44702 + 4.74566i −0.330052 + 0.185428i
\(656\) 2.04032 + 10.6809i 0.0796610 + 0.417018i
\(657\) 1.88088 25.5159i 0.0733801 0.995468i
\(658\) 12.1818 24.7439i 0.474898 0.964618i
\(659\) 41.2278 19.8079i 1.60601 0.771605i 0.606287 0.795246i \(-0.292658\pi\)
0.999720 + 0.0236417i \(0.00752609\pi\)
\(660\) −34.2785 8.27016i −1.33429 0.321915i
\(661\) −26.5005 + 35.3684i −1.03075 + 1.37567i −0.106315 + 0.994332i \(0.533905\pi\)
−0.924436 + 0.381338i \(0.875463\pi\)
\(662\) −39.3661 + 44.9005i −1.53001 + 1.74511i
\(663\) 0.0206262 + 0.0290488i 0.000801055 + 0.00112816i
\(664\) −12.5277 + 15.8573i −0.486168 + 0.615384i
\(665\) 0.808204 8.68633i 0.0313408 0.336841i
\(666\) 20.0298 10.1010i 0.776137 0.391404i
\(667\) 0.234289 + 0.127710i 0.00907171 + 0.00494497i
\(668\) 15.6236 31.2289i 0.604494 1.20828i
\(669\) 29.0539 13.0546i 1.12329 0.504721i
\(670\) 1.41216 + 0.283832i 0.0545564 + 0.0109654i
\(671\) 0.768005 + 0.741442i 0.0296485 + 0.0286231i
\(672\) 46.8620 31.2851i 1.80774 1.20685i
\(673\) −9.71998 + 29.6565i −0.374678 + 1.14318i 0.571796 + 0.820396i \(0.306247\pi\)
−0.946474 + 0.322780i \(0.895383\pi\)
\(674\) −14.4254 17.5559i −0.555646 0.676229i
\(675\) 9.00260 4.18435i 0.346510 0.161056i
\(676\) −24.1752 + 23.9443i −0.929817 + 0.920935i
\(677\) 24.9055 18.5369i 0.957195 0.712429i −0.000564283 1.00000i \(-0.500180\pi\)
0.957759 + 0.287571i \(0.0928476\pi\)
\(678\) −62.8727 + 18.1834i −2.41461 + 0.698328i
\(679\) 1.95597 4.97926i 0.0750632 0.191087i
\(680\) 2.11083 + 4.57971i 0.0809467 + 0.175624i
\(681\) 0.521030 + 23.2623i 0.0199659 + 0.891415i
\(682\) −76.1619 + 15.8156i −2.91639 + 0.605610i
\(683\) 16.2288 17.1364i 0.620980 0.655705i −0.337347 0.941380i \(-0.609530\pi\)
0.958326 + 0.285675i \(0.0922179\pi\)
\(684\) 21.6953 23.2041i 0.829539 0.887230i
\(685\) 18.3675 + 1.29488i 0.701786 + 0.0494747i
\(686\) 1.09681 38.0830i 0.0418764 1.45401i
\(687\) 4.60058 5.18013i 0.175523 0.197634i
\(688\) −18.0135 + 23.1036i −0.686759 + 0.880817i
\(689\) 0.0294667 + 0.00340877i 0.00112259 + 0.000129864i
\(690\) −3.16756 + 0.828864i −0.120587 + 0.0315543i
\(691\) −3.38353 10.7880i −0.128716 0.410395i 0.867487 0.497460i \(-0.165734\pi\)
−0.996203 + 0.0870652i \(0.972251\pi\)
\(692\) 42.1967 + 20.9422i 1.60408 + 0.796101i
\(693\) −53.5228 + 3.08553i −2.03316 + 0.117210i
\(694\) −2.88103 + 3.16153i −0.109362 + 0.120010i
\(695\) −10.0513 18.3000i −0.381269 0.694157i
\(696\) −0.824837 + 1.45723i −0.0312654 + 0.0552361i
\(697\) −15.8547 + 5.36547i −0.600541 + 0.203232i
\(698\) 15.3862 + 2.78637i 0.582375 + 0.105465i
\(699\) 40.6391 1.56091i 1.53711 0.0590390i
\(700\) 22.0988 + 17.5737i 0.835254 + 0.664222i
\(701\) 37.8439 + 22.8838i 1.42934 + 0.864309i 0.999259 0.0384802i \(-0.0122517\pi\)
0.430084 + 0.902789i \(0.358484\pi\)
\(702\) −0.00825217 0.0182097i −0.000311458 0.000687281i
\(703\) −7.41788 3.21959i −0.279771 0.121429i
\(704\) −24.6462 + 53.4730i −0.928890 + 2.01534i
\(705\) 8.83797 + 9.21339i 0.332857 + 0.346996i
\(706\) 17.0450 8.45941i 0.641498 0.318374i
\(707\) −26.4236 + 15.0684i −0.993762 + 0.566705i
\(708\) −9.12725 26.1416i −0.343023 0.982463i
\(709\) 45.2104 8.78635i 1.69791 0.329978i 0.753179 0.657815i \(-0.228519\pi\)
0.944734 + 0.327837i \(0.106320\pi\)
\(710\) 20.5922 + 4.69013i 0.772810 + 0.176017i
\(711\) 39.8705 + 47.8949i 1.49526 + 1.79620i
\(712\) −5.70098 + 0.109444i −0.213653 + 0.00410159i
\(713\) −3.13826 + 2.62951i −0.117529 + 0.0984759i
\(714\) 37.9416 + 42.7212i 1.41993 + 1.59880i
\(715\) 0.0187583 0.00120186i 0.000701519 4.49470e-5i
\(716\) −0.894034 1.73130i −0.0334116 0.0647017i
\(717\) 4.68931 + 27.3908i 0.175125 + 1.02293i
\(718\) −3.04721 19.2793i −0.113721 0.719495i
\(719\) 39.2457 1.00465i 1.46362 0.0374672i 0.714376 0.699762i \(-0.246711\pi\)
0.749243 + 0.662295i \(0.230418\pi\)
\(720\) 2.32290 + 9.49474i 0.0865694 + 0.353848i
\(721\) −29.9606 + 29.2971i −1.11579 + 1.09108i
\(722\) 20.5921 + 1.18711i 0.766357 + 0.0441797i
\(723\) 13.8887 + 7.92020i 0.516526 + 0.294556i
\(724\) −4.97023 + 26.9533i −0.184717 + 1.00171i
\(725\) 1.83981 + 0.382049i 0.0683287 + 0.0141890i
\(726\) 61.9389 43.0918i 2.29877 1.59929i
\(727\) −4.19936 + 2.61327i −0.155746 + 0.0969209i −0.603997 0.796987i \(-0.706426\pi\)
0.448251 + 0.893908i \(0.352047\pi\)
\(728\) 0.00844823 0.0104168i 0.000313112 0.000386072i
\(729\) 40.5141 2.85618i 1.50052 0.105784i
\(730\) 0.598148 + 14.3740i 0.0221385 + 0.532004i
\(731\) −39.0291 22.5890i −1.44354 0.835484i
\(732\) −0.429054 + 1.43190i −0.0158583 + 0.0529247i
\(733\) 15.6969 28.1502i 0.579780 1.03975i −0.411925 0.911218i \(-0.635144\pi\)
0.991705 0.128535i \(-0.0410275\pi\)
\(734\) −8.92084 1.91210i −0.329274 0.0705768i
\(735\) −1.38514 0.549236i −0.0510917 0.0202589i
\(736\) 0.263431 + 4.32852i 0.00971020 + 0.159551i
\(737\) −2.54747 + 1.92151i −0.0938374 + 0.0707796i
\(738\) 38.4462 5.19715i 1.41522 0.191310i
\(739\) −9.05717 40.3617i −0.333173 1.48473i −0.799795 0.600273i \(-0.795059\pi\)
0.466622 0.884457i \(-0.345471\pi\)
\(740\) −5.97202 + 3.93192i −0.219536 + 0.144540i
\(741\) −0.0129767 + 0.0267897i −0.000476712 + 0.000984144i
\(742\) 47.5720 + 0.304386i 1.74642 + 0.0111744i
\(743\) −26.4499 28.2894i −0.970352 1.03784i −0.999268 0.0382538i \(-0.987820\pi\)
0.0289156 0.999582i \(-0.490795\pi\)
\(744\) −16.1839 19.9550i −0.593330 0.731584i
\(745\) 6.85082 + 2.36737i 0.250994 + 0.0867338i
\(746\) 70.1023 + 26.7640i 2.56663 + 0.979901i
\(747\) −45.2115 39.8953i −1.65420 1.45969i
\(748\) −45.3228 13.7386i −1.65717 0.502334i
\(749\) −11.9107 8.74712i −0.435207 0.319613i
\(750\) −44.6765 + 27.4073i −1.63135 + 1.00077i
\(751\) −0.0453925 + 14.1887i −0.00165640 + 0.517755i 0.965077 + 0.261967i \(0.0843713\pi\)
−0.966733 + 0.255787i \(0.917665\pi\)
\(752\) 9.38176 6.00619i 0.342118 0.219023i
\(753\) 47.6497 46.0017i 1.73645 1.67639i
\(754\) 0.000804904 0.00369750i 2.93129e−5 0.000134655i
\(755\) 1.27364 5.20593i 0.0463524 0.189463i
\(756\) −9.25488 15.6423i −0.336597 0.568905i
\(757\) 22.0622 22.4179i 0.801864 0.814794i −0.183898 0.982945i \(-0.558871\pi\)
0.985761 + 0.168152i \(0.0537798\pi\)
\(758\) −33.3216 + 46.2979i −1.21029 + 1.68161i
\(759\) 3.28673 6.46590i 0.119301 0.234697i
\(760\) −2.50481 + 3.38795i −0.0908590 + 0.122894i
\(761\) −7.85952 + 11.6916i −0.284907 + 0.423821i −0.944854 0.327491i \(-0.893797\pi\)
0.659947 + 0.751312i \(0.270579\pi\)
\(762\) 76.1290 + 35.9784i 2.75786 + 1.30336i
\(763\) 10.1739 2.87196i 0.368319 0.103972i
\(764\) −7.24055 15.4485i −0.261954 0.558907i
\(765\) −13.9866 + 5.54596i −0.505686 + 0.200515i
\(766\) −22.8094 + 3.82990i −0.824137 + 0.138380i
\(767\) 0.00877470 + 0.0118685i 0.000316836 + 0.000428546i
\(768\) 5.70164 0.255539i 0.205740 0.00922096i
\(769\) 36.1755 + 21.2476i 1.30452 + 0.766207i 0.983508 0.180867i \(-0.0578903\pi\)
0.321015 + 0.947074i \(0.395976\pi\)