Properties

Label 983.2.c.a.2.15
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 2.15
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.649824 + 1.94063i) q^{2} +(2.50384 + 1.40669i) q^{3} +(-1.74706 - 1.31777i) q^{4} +(2.25729 - 3.40473i) q^{5} +(-4.35692 + 3.94491i) q^{6} +(1.07843 - 2.37972i) q^{7} +(0.317759 - 0.218066i) q^{8} +(2.72988 + 4.48207i) q^{9} +O(q^{10})\) \(q+(-0.649824 + 1.94063i) q^{2} +(2.50384 + 1.40669i) q^{3} +(-1.74706 - 1.31777i) q^{4} +(2.25729 - 3.40473i) q^{5} +(-4.35692 + 3.94491i) q^{6} +(1.07843 - 2.37972i) q^{7} +(0.317759 - 0.218066i) q^{8} +(2.72988 + 4.48207i) q^{9} +(5.14048 + 6.59303i) q^{10} +(-1.63648 - 0.104851i) q^{11} +(-2.52065 - 5.75704i) q^{12} +(-1.28291 - 1.48229i) q^{13} +(3.91737 + 3.63923i) q^{14} +(10.4413 - 5.34958i) q^{15} +(-0.985775 - 3.44984i) q^{16} +(4.73009 - 2.08907i) q^{17} +(-10.4720 + 2.38512i) q^{18} +(1.79771 + 1.37411i) q^{19} +(-8.43024 + 2.97368i) q^{20} +(6.04775 - 4.44142i) q^{21} +(1.26690 - 3.10767i) q^{22} +(0.651414 + 6.14734i) q^{23} +(1.10237 - 0.0990118i) q^{24} +(-4.55023 - 10.7654i) q^{25} +(3.71025 - 1.52641i) q^{26} +(0.227146 + 6.45201i) q^{27} +(-5.02000 + 2.73639i) q^{28} +(-1.81083 + 2.62069i) q^{29} +(3.59656 + 23.7389i) q^{30} +(0.712336 + 1.05965i) q^{31} +(8.10544 + 0.363273i) q^{32} +(-3.94999 - 2.56456i) q^{33} +(0.980386 + 10.5369i) q^{34} +(-5.66799 - 9.04348i) q^{35} +(1.13707 - 11.4278i) q^{36} +(1.73607 - 0.430624i) q^{37} +(-3.83483 + 2.59576i) q^{38} +(-1.12706 - 5.51607i) q^{39} +(-0.0251816 - 1.57412i) q^{40} +(-10.1214 - 0.909073i) q^{41} +(4.68918 + 14.6226i) q^{42} +(3.80397 + 5.21464i) q^{43} +(2.72086 + 2.33968i) q^{44} +(21.4224 + 0.822811i) q^{45} +(-12.3530 - 2.73054i) q^{46} +(1.99255 + 6.64986i) q^{47} +(2.38463 - 10.0245i) q^{48} +(0.114644 + 0.130762i) q^{49} +(23.8485 - 1.83470i) q^{50} +(14.7820 + 1.42308i) q^{51} +(0.287990 + 4.28022i) q^{52} +(9.25402 - 8.48731i) q^{53} +(-12.6686 - 3.75186i) q^{54} +(-4.05100 + 5.33511i) q^{55} +(-0.176255 - 0.991348i) q^{56} +(2.56822 + 5.96937i) q^{57} +(-3.90906 - 5.21714i) q^{58} +(3.27498 + 0.251949i) q^{59} +(-25.2910 - 4.41315i) q^{60} +(9.13804 + 7.75672i) q^{61} +(-2.51929 + 0.693792i) q^{62} +(13.6101 - 1.66276i) q^{63} +(-3.39121 + 8.79794i) q^{64} +(-7.94270 + 1.02199i) q^{65} +(7.54365 - 5.99896i) q^{66} +(-5.89395 + 5.06825i) q^{67} +(-11.0166 - 2.58343i) q^{68} +(-7.01637 + 16.3083i) q^{69} +(21.2332 - 5.12280i) q^{70} +(-2.14907 + 1.75437i) q^{71} +(1.84483 + 0.828926i) q^{72} +(-11.9196 - 8.52105i) q^{73} +(-0.292461 + 3.64891i) q^{74} +(3.75055 - 33.3555i) q^{75} +(-1.32994 - 4.76961i) q^{76} +(-2.01435 + 3.78130i) q^{77} +(11.4370 + 1.39728i) q^{78} +(-6.76935 + 1.00345i) q^{79} +(-13.9709 - 4.43097i) q^{80} +(-1.28347 + 2.48544i) q^{81} +(8.34127 - 19.0511i) q^{82} +(-12.8264 + 3.97784i) q^{83} +(-16.4185 - 0.210114i) q^{84} +(3.56444 - 20.8203i) q^{85} +(-12.5916 + 3.99350i) q^{86} +(-8.22052 + 4.01448i) q^{87} +(-0.542872 + 0.323544i) q^{88} +(-0.878179 - 0.578184i) q^{89} +(-15.5175 + 41.0382i) q^{90} +(-4.91098 + 1.45441i) q^{91} +(6.96270 - 11.5982i) q^{92} +(0.292969 + 3.65523i) q^{93} +(-14.1997 - 0.454429i) q^{94} +(8.73642 - 3.01896i) q^{95} +(19.7837 + 12.3114i) q^{96} +(-1.88464 + 0.0965532i) q^{97} +(-0.328259 + 0.137510i) q^{98} +(-3.99745 - 7.62106i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.649824 + 1.94063i −0.459495 + 1.37223i 0.424793 + 0.905290i \(0.360347\pi\)
−0.884288 + 0.466942i \(0.845356\pi\)
\(3\) 2.50384 + 1.40669i 1.44559 + 0.812153i 0.996680 0.0814237i \(-0.0259467\pi\)
0.448910 + 0.893577i \(0.351812\pi\)
\(4\) −1.74706 1.31777i −0.873528 0.658883i
\(5\) 2.25729 3.40473i 1.00949 1.52264i 0.165551 0.986201i \(-0.447060\pi\)
0.843938 0.536441i \(-0.180231\pi\)
\(6\) −4.35692 + 3.94491i −1.77870 + 1.61050i
\(7\) 1.07843 2.37972i 0.407608 0.899451i −0.588263 0.808670i \(-0.700188\pi\)
0.995871 0.0907812i \(-0.0289364\pi\)
\(8\) 0.317759 0.218066i 0.112345 0.0770979i
\(9\) 2.72988 + 4.48207i 0.909959 + 1.49402i
\(10\) 5.14048 + 6.59303i 1.62556 + 2.08490i
\(11\) −1.63648 0.104851i −0.493418 0.0316138i −0.184754 0.982785i \(-0.559149\pi\)
−0.308664 + 0.951171i \(0.599882\pi\)
\(12\) −2.52065 5.75704i −0.727648 1.66191i
\(13\) −1.28291 1.48229i −0.355814 0.411114i 0.549746 0.835332i \(-0.314724\pi\)
−0.905560 + 0.424217i \(0.860549\pi\)
\(14\) 3.91737 + 3.63923i 1.04696 + 0.972626i
\(15\) 10.4413 5.34958i 2.69593 1.38126i
\(16\) −0.985775 3.44984i −0.246444 0.862459i
\(17\) 4.73009 2.08907i 1.14722 0.506674i 0.258899 0.965905i \(-0.416640\pi\)
0.888317 + 0.459230i \(0.151875\pi\)
\(18\) −10.4720 + 2.38512i −2.46827 + 0.562179i
\(19\) 1.79771 + 1.37411i 0.412423 + 0.315242i 0.792679 0.609639i \(-0.208686\pi\)
−0.380256 + 0.924881i \(0.624164\pi\)
\(20\) −8.43024 + 2.97368i −1.88506 + 0.664934i
\(21\) 6.04775 4.44142i 1.31973 0.969197i
\(22\) 1.26690 3.10767i 0.270105 0.662558i
\(23\) 0.651414 + 6.14734i 0.135829 + 1.28181i 0.828268 + 0.560332i \(0.189327\pi\)
−0.692439 + 0.721477i \(0.743464\pi\)
\(24\) 1.10237 0.0990118i 0.225020 0.0202107i
\(25\) −4.55023 10.7654i −0.910046 2.15308i
\(26\) 3.71025 1.52641i 0.727639 0.299355i
\(27\) 0.227146 + 6.45201i 0.0437143 + 1.24169i
\(28\) −5.02000 + 2.73639i −0.948690 + 0.517129i
\(29\) −1.81083 + 2.62069i −0.336263 + 0.486649i −0.954029 0.299713i \(-0.903109\pi\)
0.617766 + 0.786362i \(0.288038\pi\)
\(30\) 3.59656 + 23.7389i 0.656639 + 4.33412i
\(31\) 0.712336 + 1.05965i 0.127939 + 0.190319i 0.888407 0.459056i \(-0.151812\pi\)
−0.760468 + 0.649376i \(0.775030\pi\)
\(32\) 8.10544 + 0.363273i 1.43285 + 0.0642182i
\(33\) −3.94999 2.56456i −0.687605 0.446432i
\(34\) 0.980386 + 10.5369i 0.168135 + 1.80706i
\(35\) −5.66799 9.04348i −0.958066 1.52863i
\(36\) 1.13707 11.4278i 0.189512 1.90463i
\(37\) 1.73607 0.430624i 0.285409 0.0707942i −0.0954282 0.995436i \(-0.530422\pi\)
0.380837 + 0.924642i \(0.375636\pi\)
\(38\) −3.83483 + 2.59576i −0.622092 + 0.421088i
\(39\) −1.12706 5.51607i −0.180474 0.883278i
\(40\) −0.0251816 1.57412i −0.00398156 0.248890i
\(41\) −10.1214 0.909073i −1.58069 0.141973i −0.735907 0.677083i \(-0.763244\pi\)
−0.844783 + 0.535110i \(0.820270\pi\)
\(42\) 4.68918 + 14.6226i 0.723556 + 2.25631i
\(43\) 3.80397 + 5.21464i 0.580100 + 0.795225i 0.993318 0.115407i \(-0.0368172\pi\)
−0.413218 + 0.910632i \(0.635595\pi\)
\(44\) 2.72086 + 2.33968i 0.410185 + 0.352721i
\(45\) 21.4224 + 0.822811i 3.19346 + 0.122657i
\(46\) −12.3530 2.73054i −1.82135 0.402596i
\(47\) 1.99255 + 6.64986i 0.290644 + 0.969981i 0.971396 + 0.237467i \(0.0763172\pi\)
−0.680752 + 0.732514i \(0.738347\pi\)
\(48\) 2.38463 10.0245i 0.344192 1.44691i
\(49\) 0.114644 + 0.130762i 0.0163778 + 0.0186803i
\(50\) 23.8485 1.83470i 3.37269 0.259466i
\(51\) 14.7820 + 1.42308i 2.06990 + 0.199272i
\(52\) 0.287990 + 4.28022i 0.0399371 + 0.593560i
\(53\) 9.25402 8.48731i 1.27114 1.16582i 0.293400 0.955990i \(-0.405213\pi\)
0.977737 0.209832i \(-0.0672918\pi\)
\(54\) −12.6686 3.75186i −1.72397 0.510564i
\(55\) −4.05100 + 5.33511i −0.546237 + 0.719385i
\(56\) −0.176255 0.991348i −0.0235531 0.132474i
\(57\) 2.56822 + 5.96937i 0.340170 + 0.790662i
\(58\) −3.90906 5.21714i −0.513284 0.685044i
\(59\) 3.27498 + 0.251949i 0.426366 + 0.0328009i 0.288114 0.957596i \(-0.406972\pi\)
0.138252 + 0.990397i \(0.455852\pi\)
\(60\) −25.2910 4.41315i −3.26505 0.569735i
\(61\) 9.13804 + 7.75672i 1.17001 + 0.993146i 0.999970 + 0.00770783i \(0.00245350\pi\)
0.170036 + 0.985438i \(0.445612\pi\)
\(62\) −2.51929 + 0.693792i −0.319950 + 0.0881117i
\(63\) 13.6101 1.66276i 1.71471 0.209488i
\(64\) −3.39121 + 8.79794i −0.423902 + 1.09974i
\(65\) −7.94270 + 1.02199i −0.985170 + 0.126762i
\(66\) 7.54365 5.99896i 0.928559 0.738421i
\(67\) −5.89395 + 5.06825i −0.720061 + 0.619185i −0.933838 0.357697i \(-0.883562\pi\)
0.213777 + 0.976883i \(0.431424\pi\)
\(68\) −11.0166 2.58343i −1.33596 0.313287i
\(69\) −7.01637 + 16.3083i −0.844672 + 1.96328i
\(70\) 21.2332 5.12280i 2.53786 0.612292i
\(71\) −2.14907 + 1.75437i −0.255048 + 0.208205i −0.751278 0.659986i \(-0.770562\pi\)
0.496231 + 0.868191i \(0.334717\pi\)
\(72\) 1.84483 + 0.828926i 0.217415 + 0.0976899i
\(73\) −11.9196 8.52105i −1.39509 0.997314i −0.996790 0.0800568i \(-0.974490\pi\)
−0.398296 0.917257i \(-0.630398\pi\)
\(74\) −0.292461 + 3.64891i −0.0339979 + 0.424177i
\(75\) 3.75055 33.3555i 0.433076 3.85157i
\(76\) −1.32994 4.76961i −0.152555 0.547112i
\(77\) −2.01435 + 3.78130i −0.229556 + 0.430920i
\(78\) 11.4370 + 1.39728i 1.29499 + 0.158210i
\(79\) −6.76935 + 1.00345i −0.761611 + 0.112897i −0.516136 0.856506i \(-0.672630\pi\)
−0.245475 + 0.969403i \(0.578944\pi\)
\(80\) −13.9709 4.43097i −1.56200 0.495397i
\(81\) −1.28347 + 2.48544i −0.142608 + 0.276160i
\(82\) 8.34127 19.0511i 0.921139 2.10384i
\(83\) −12.8264 + 3.97784i −1.40788 + 0.436624i −0.904142 0.427231i \(-0.859489\pi\)
−0.503740 + 0.863855i \(0.668043\pi\)
\(84\) −16.4185 0.210114i −1.79141 0.0229253i
\(85\) 3.56444 20.8203i 0.386618 2.25828i
\(86\) −12.5916 + 3.99350i −1.35779 + 0.430630i
\(87\) −8.22052 + 4.01448i −0.881333 + 0.430398i
\(88\) −0.542872 + 0.323544i −0.0578704 + 0.0344899i
\(89\) −0.878179 0.578184i −0.0930868 0.0612873i 0.502507 0.864573i \(-0.332411\pi\)
−0.595594 + 0.803286i \(0.703083\pi\)
\(90\) −15.5175 + 41.0382i −1.63569 + 4.32580i
\(91\) −4.91098 + 1.45441i −0.514810 + 0.152464i
\(92\) 6.96270 11.5982i 0.725912 1.20919i
\(93\) 0.292969 + 3.65523i 0.0303794 + 0.379030i
\(94\) −14.1997 0.454429i −1.46459 0.0468708i
\(95\) 8.73642 3.01896i 0.896338 0.309739i
\(96\) 19.7837 + 12.3114i 2.01916 + 1.25653i
\(97\) −1.88464 + 0.0965532i −0.191356 + 0.00980349i −0.146607 0.989195i \(-0.546835\pi\)
−0.0447490 + 0.998998i \(0.514249\pi\)
\(98\) −0.328259 + 0.137510i −0.0331592 + 0.0138906i
\(99\) −3.99745 7.62106i −0.401759 0.765946i
\(100\) −6.23677 + 24.8039i −0.623677 + 2.48039i
\(101\) 3.92860 + 2.84662i 0.390910 + 0.283249i 0.764856 0.644201i \(-0.222810\pi\)
−0.373946 + 0.927451i \(0.621995\pi\)
\(102\) −12.3674 + 27.7617i −1.22456 + 2.74882i
\(103\) −15.2811 5.94642i −1.50570 0.585918i −0.539104 0.842239i \(-0.681237\pi\)
−0.966592 + 0.256321i \(0.917490\pi\)
\(104\) −0.730893 0.191255i −0.0716699 0.0187541i
\(105\) −1.47034 30.6165i −0.143491 2.98786i
\(106\) 10.4572 + 23.4739i 1.01570 + 2.27998i
\(107\) 1.11474 5.28322i 0.107766 0.510748i −0.890660 0.454670i \(-0.849757\pi\)
0.998426 0.0560787i \(-0.0178598\pi\)
\(108\) 8.10540 11.5713i 0.779943 1.11345i
\(109\) 4.06169 + 4.81615i 0.389039 + 0.461303i 0.923335 0.383994i \(-0.125452\pi\)
−0.534296 + 0.845297i \(0.679423\pi\)
\(110\) −7.72102 11.3284i −0.736171 1.08012i
\(111\) 4.95260 + 1.36391i 0.470080 + 0.129456i
\(112\) −9.27275 1.37454i −0.876192 0.129881i
\(113\) −2.39945 1.17177i −0.225721 0.110231i 0.322483 0.946575i \(-0.395483\pi\)
−0.548204 + 0.836345i \(0.684688\pi\)
\(114\) −13.2532 + 1.10493i −1.24128 + 0.103487i
\(115\) 22.4005 + 11.6584i 2.08885 + 1.08715i
\(116\) 6.61708 2.19223i 0.614380 0.203543i
\(117\) 3.14157 9.79656i 0.290438 0.905692i
\(118\) −2.61710 + 6.19179i −0.240923 + 0.570001i
\(119\) 0.129659 13.5092i 0.0118858 1.23839i
\(120\) 2.15125 3.97676i 0.196381 0.363027i
\(121\) −8.24297 1.06063i −0.749361 0.0964205i
\(122\) −20.9910 + 12.6930i −1.90044 + 1.14917i
\(123\) −24.0634 16.5138i −2.16972 1.48900i
\(124\) 0.151885 2.78997i 0.0136397 0.250546i
\(125\) −26.8499 5.04003i −2.40153 0.450794i
\(126\) −5.61735 + 27.4926i −0.500434 + 2.44924i
\(127\) −6.86879 16.5453i −0.609507 1.46816i −0.865214 0.501403i \(-0.832817\pi\)
0.255707 0.966754i \(-0.417692\pi\)
\(128\) −2.36529 1.95623i −0.209064 0.172908i
\(129\) 2.18914 + 18.4076i 0.192743 + 1.62070i
\(130\) 3.17805 16.0779i 0.278734 1.41013i
\(131\) −13.4544 6.89334i −1.17551 0.602274i −0.245356 0.969433i \(-0.578905\pi\)
−0.930158 + 0.367159i \(0.880331\pi\)
\(132\) 3.52137 + 9.68559i 0.306496 + 0.843022i
\(133\) 5.20871 2.79617i 0.451652 0.242459i
\(134\) −6.00556 14.7314i −0.518802 1.27260i
\(135\) 22.4801 + 13.7907i 1.93478 + 1.18691i
\(136\) 1.04748 1.69529i 0.0898203 0.145370i
\(137\) 3.30937 + 5.84662i 0.282738 + 0.499510i 0.975020 0.222117i \(-0.0712967\pi\)
−0.692282 + 0.721627i \(0.743394\pi\)
\(138\) −27.0889 24.2137i −2.30596 2.06120i
\(139\) 0.578780 1.10343i 0.0490915 0.0935919i −0.859787 0.510652i \(-0.829404\pi\)
0.908879 + 0.417060i \(0.136940\pi\)
\(140\) −2.01490 + 23.2686i −0.170290 + 1.96655i
\(141\) −4.36526 + 19.4531i −0.367622 + 1.63824i
\(142\) −2.00806 5.31058i −0.168513 0.445654i
\(143\) 1.94403 + 2.56026i 0.162568 + 0.214100i
\(144\) 12.7714 13.8359i 1.06428 1.15300i
\(145\) 4.83516 + 12.0810i 0.401538 + 1.00328i
\(146\) 24.2819 17.5944i 2.00958 1.45612i
\(147\) 0.103109 + 0.488676i 0.00850429 + 0.0403053i
\(148\) −3.60048 1.53542i −0.295958 0.126211i
\(149\) 0.999901 + 3.87172i 0.0819150 + 0.317184i 0.996113 0.0880840i \(-0.0280744\pi\)
−0.914198 + 0.405268i \(0.867178\pi\)
\(150\) 62.2935 + 28.9537i 5.08625 + 2.36406i
\(151\) −21.3639 + 7.68994i −1.73857 + 0.625798i −0.998888 0.0471565i \(-0.984984\pi\)
−0.739684 + 0.672955i \(0.765025\pi\)
\(152\) 0.870885 + 0.0446169i 0.0706381 + 0.00361890i
\(153\) 22.2759 + 15.4977i 1.80090 + 1.25291i
\(154\) −6.02914 6.36629i −0.485842 0.513010i
\(155\) 5.21578 0.0333729i 0.418942 0.00268057i
\(156\) −5.29986 + 11.1221i −0.424329 + 0.890479i
\(157\) −13.8336 14.9868i −1.10404 1.19608i −0.978986 0.203926i \(-0.934630\pi\)
−0.125059 0.992149i \(-0.539912\pi\)
\(158\) 2.45157 13.7889i 0.195036 1.09698i
\(159\) 35.1096 8.23329i 2.78437 0.652943i
\(160\) 19.5331 26.7768i 1.54423 2.11689i
\(161\) 15.3315 + 5.07929i 1.20829 + 0.400304i
\(162\) −3.98929 4.10584i −0.313428 0.322585i
\(163\) 1.03034 0.262580i 0.0807027 0.0205669i −0.206389 0.978470i \(-0.566171\pi\)
0.287091 + 0.957903i \(0.407312\pi\)
\(164\) 16.4846 + 14.9258i 1.28723 + 1.16551i
\(165\) −17.6479 + 7.65972i −1.37389 + 0.596308i
\(166\) 0.615412 27.4762i 0.0477652 2.13257i
\(167\) 2.20877 + 11.9781i 0.170920 + 0.926890i 0.952831 + 0.303500i \(0.0981554\pi\)
−0.781911 + 0.623390i \(0.785755\pi\)
\(168\) 0.953206 2.73011i 0.0735414 0.210632i
\(169\) 1.31371 9.06223i 0.101055 0.697095i
\(170\) 38.0883 + 20.4468i 2.92124 + 1.56820i
\(171\) −1.25132 + 11.8086i −0.0956910 + 0.903027i
\(172\) 0.225929 14.1230i 0.0172270 1.07687i
\(173\) 12.4631 2.33947i 0.947555 0.177867i 0.312138 0.950037i \(-0.398955\pi\)
0.635416 + 0.772170i \(0.280829\pi\)
\(174\) −2.44873 18.5617i −0.185638 1.40716i
\(175\) −30.5258 0.781430i −2.30753 0.0590705i
\(176\) 1.25149 + 5.74896i 0.0943343 + 0.433344i
\(177\) 7.84559 + 5.23772i 0.589710 + 0.393691i
\(178\) 1.69270 1.32850i 0.126873 0.0995754i
\(179\) 20.4892 + 9.84403i 1.53144 + 0.735778i 0.994189 0.107647i \(-0.0343315\pi\)
0.537248 + 0.843424i \(0.319464\pi\)
\(180\) −36.3418 29.6672i −2.70875 2.21126i
\(181\) 0.432966 + 0.865427i 0.0321821 + 0.0643267i 0.909835 0.414969i \(-0.136208\pi\)
−0.877653 + 0.479296i \(0.840892\pi\)
\(182\) 0.368795 10.4755i 0.0273369 0.776495i
\(183\) 11.9688 + 32.2759i 0.884763 + 2.38591i
\(184\) 1.54752 + 1.81132i 0.114084 + 0.133533i
\(185\) 2.45266 6.88291i 0.180323 0.506041i
\(186\) −7.28383 1.80672i −0.534076 0.132475i
\(187\) −7.95976 + 2.92278i −0.582075 + 0.213735i
\(188\) 5.28186 14.2434i 0.385219 1.03881i
\(189\) 15.5990 + 6.41749i 1.13466 + 0.466804i
\(190\) 0.181552 + 18.9159i 0.0131712 + 1.37231i
\(191\) 21.9989 + 11.6289i 1.59179 + 0.841438i 0.999358 + 0.0358145i \(0.0114026\pi\)
0.592427 + 0.805624i \(0.298170\pi\)
\(192\) −20.8670 + 17.2582i −1.50595 + 1.24550i
\(193\) −0.517937 0.493661i −0.0372820 0.0355345i 0.671069 0.741395i \(-0.265835\pi\)
−0.708351 + 0.705861i \(0.750561\pi\)
\(194\) 1.03731 3.72013i 0.0744746 0.267090i
\(195\) −21.3248 8.61403i −1.52710 0.616863i
\(196\) −0.0279762 0.379523i −0.00199830 0.0271088i
\(197\) −24.6557 + 6.62057i −1.75665 + 0.471696i −0.986165 0.165765i \(-0.946991\pi\)
−0.770482 + 0.637462i \(0.779984\pi\)
\(198\) 17.3873 2.80522i 1.23566 0.199358i
\(199\) −2.98391 + 4.62824i −0.211523 + 0.328087i −0.930064 0.367398i \(-0.880249\pi\)
0.718540 + 0.695485i \(0.244811\pi\)
\(200\) −3.79344 2.42855i −0.268237 0.171725i
\(201\) −21.8869 + 4.39910i −1.54379 + 0.310288i
\(202\) −8.07713 + 5.77415i −0.568305 + 0.406268i
\(203\) 4.28365 + 7.13551i 0.300653 + 0.500815i
\(204\) −23.9498 21.9655i −1.67682 1.53789i
\(205\) −25.9419 + 32.4084i −1.81186 + 2.26350i
\(206\) 21.4698 25.7909i 1.49588 1.79694i
\(207\) −25.7745 + 19.7012i −1.79145 + 1.36933i
\(208\) −3.84902 + 5.88703i −0.266881 + 0.408192i
\(209\) −2.79785 2.43720i −0.193531 0.168585i
\(210\) 60.3707 + 17.0419i 4.16598 + 1.17601i
\(211\) −3.66831 22.2833i −0.252537 1.53405i −0.746986 0.664840i \(-0.768500\pi\)
0.494449 0.869207i \(-0.335370\pi\)
\(212\) −27.3516 + 2.63317i −1.87851 + 0.180847i
\(213\) −7.84877 + 1.36957i −0.537789 + 0.0938414i
\(214\) 9.52839 + 5.59647i 0.651347 + 0.382567i
\(215\) 26.3411 1.18057i 1.79645 0.0805141i
\(216\) 1.47914 + 2.00065i 0.100643 + 0.136127i
\(217\) 3.28989 0.552402i 0.223332 0.0374995i
\(218\) −11.9857 + 4.75259i −0.811776 + 0.321886i
\(219\) −17.8583 38.1025i −1.20675 2.57473i
\(220\) 14.1077 3.98245i 0.951144 0.268497i
\(221\) −9.16488 4.33130i −0.616497 0.291355i
\(222\) −5.86516 + 8.72486i −0.393644 + 0.585574i
\(223\) 1.86510 2.52269i 0.124896 0.168932i −0.737203 0.675671i \(-0.763854\pi\)
0.862099 + 0.506739i \(0.169149\pi\)
\(224\) 9.60564 18.8969i 0.641804 1.26260i
\(225\) 35.8297 49.7827i 2.38864 3.31885i
\(226\) 3.83319 3.89500i 0.254980 0.259092i
\(227\) 0.272292 + 0.460219i 0.0180727 + 0.0305458i 0.869545 0.493854i \(-0.164412\pi\)
−0.851472 + 0.524399i \(0.824290\pi\)
\(228\) 3.37940 13.8131i 0.223806 0.914797i
\(229\) −1.94493 + 8.93443i −0.128524 + 0.590404i 0.867194 + 0.497970i \(0.165921\pi\)
−0.995719 + 0.0924340i \(0.970535\pi\)
\(230\) −37.1810 + 35.8951i −2.45164 + 2.36685i
\(231\) −10.3627 + 6.63420i −0.681817 + 0.436498i
\(232\) −0.00392741 + 1.22763i −0.000257847 + 0.0805977i
\(233\) 22.4410 13.7667i 1.47016 0.901884i 0.470345 0.882483i \(-0.344130\pi\)
0.999812 0.0194008i \(-0.00617585\pi\)
\(234\) 16.9700 + 12.4627i 1.10936 + 0.814709i
\(235\) 27.1387 + 8.22652i 1.77034 + 0.536639i
\(236\) −5.38955 4.75582i −0.350830 0.309578i
\(237\) −18.3609 7.00992i −1.19267 0.455343i
\(238\) 26.1322 + 9.03024i 1.69390 + 0.585344i
\(239\) 13.1784 + 16.2492i 0.852442 + 1.05107i 0.998092 + 0.0617372i \(0.0196641\pi\)
−0.145650 + 0.989336i \(0.546527\pi\)
\(240\) −28.7479 30.7472i −1.85567 1.98472i
\(241\) 5.33534 + 0.0341379i 0.343679 + 0.00219901i 0.178143 0.984005i \(-0.442991\pi\)
0.165537 + 0.986204i \(0.447064\pi\)
\(242\) 7.41476 15.3073i 0.476639 0.983993i
\(243\) 9.46684 6.23287i 0.607298 0.399839i
\(244\) −5.74312 25.5932i −0.367665 1.63844i
\(245\) 0.703995 0.0951660i 0.0449766 0.00607993i
\(246\) 47.6841 35.9671i 3.04023 2.29318i
\(247\) −0.269460 4.42759i −0.0171453 0.281721i
\(248\) 0.457426 + 0.181379i 0.0290466 + 0.0115175i
\(249\) −37.7108 8.08296i −2.38983 0.512237i
\(250\) 27.2285 48.8305i 1.72208 3.08831i
\(251\) −2.98440 + 9.95999i −0.188373 + 0.628669i 0.810693 + 0.585471i \(0.199091\pi\)
−0.999067 + 0.0431976i \(0.986245\pi\)
\(252\) −25.9687 15.0300i −1.63587 0.946799i
\(253\) −0.421473 10.1283i −0.0264978 0.636762i
\(254\) 36.5718 2.57825i 2.29472 0.161774i
\(255\) 38.2125 47.1166i 2.39296 2.95056i
\(256\) −10.6774 + 6.64458i −0.667339 + 0.415286i
\(257\) 2.72532 1.89604i 0.170001 0.118272i −0.483028 0.875605i \(-0.660463\pi\)
0.653029 + 0.757333i \(0.273498\pi\)
\(258\) −37.1449 7.71341i −2.31254 0.480216i
\(259\) 0.847469 4.59578i 0.0526591 0.285568i
\(260\) 15.2231 + 8.68115i 0.944095 + 0.538382i
\(261\) −16.6895 0.962129i −1.03305 0.0595543i
\(262\) 22.1204 21.6305i 1.36660 1.33634i
\(263\) 6.64452 + 27.1592i 0.409719 + 1.67470i 0.697167 + 0.716909i \(0.254444\pi\)
−0.287448 + 0.957796i \(0.592807\pi\)
\(264\) −1.81439 + 0.0464465i −0.111668 + 0.00285859i
\(265\) −8.00805 50.6657i −0.491931 3.11237i
\(266\) 2.04159 + 11.9252i 0.125178 + 0.731180i
\(267\) −1.38549 2.68300i −0.0847906 0.164197i
\(268\) 16.9758 1.08766i 1.03696 0.0664393i
\(269\) −1.09477 1.23268i −0.0667494 0.0751580i 0.713375 0.700783i \(-0.247166\pi\)
−0.780124 + 0.625625i \(0.784844\pi\)
\(270\) −41.3706 + 34.6640i −2.51774 + 2.10958i
\(271\) −13.7749 + 0.264443i −0.836768 + 0.0160638i −0.435816 0.900036i \(-0.643540\pi\)
−0.400951 + 0.916099i \(0.631320\pi\)
\(272\) −11.8698 14.2587i −0.719710 0.864560i
\(273\) −14.3422 3.26661i −0.868028 0.197704i
\(274\) −13.4966 + 2.62298i −0.815361 + 0.158460i
\(275\) 6.31762 + 18.0945i 0.380967 + 1.09114i
\(276\) 33.7485 19.2455i 2.03142 1.15844i
\(277\) −18.9840 + 9.42173i −1.14064 + 0.566097i −0.913126 0.407678i \(-0.866339\pi\)
−0.227514 + 0.973775i \(0.573060\pi\)
\(278\) 1.76525 + 1.84023i 0.105873 + 0.110370i
\(279\) −2.80485 + 6.08547i −0.167922 + 0.364327i
\(280\) −3.77313 1.63765i −0.225488 0.0978686i
\(281\) −4.10743 9.06369i −0.245029 0.540694i 0.747276 0.664514i \(-0.231361\pi\)
−0.992305 + 0.123820i \(0.960486\pi\)
\(282\) −34.9145 21.1124i −2.07913 1.25723i
\(283\) 8.36253 + 6.65016i 0.497101 + 0.395311i 0.838750 0.544517i \(-0.183287\pi\)
−0.341649 + 0.939828i \(0.610985\pi\)
\(284\) 6.06639 0.233004i 0.359974 0.0138262i
\(285\) 26.1213 + 4.73045i 1.54729 + 0.280208i
\(286\) −6.23180 + 2.10893i −0.368494 + 0.124704i
\(287\) −13.0785 + 23.1057i −0.772000 + 1.36388i
\(288\) 20.4986 + 37.3208i 1.20789 + 2.19915i
\(289\) 6.55909 7.19770i 0.385829 0.423394i
\(290\) −26.5868 + 1.53270i −1.56123 + 0.0900033i
\(291\) −4.85465 2.40935i −0.284585 0.141239i
\(292\) 9.59547 + 30.5940i 0.561532 + 1.79038i
\(293\) −16.6324 + 4.35224i −0.971674 + 0.254261i −0.704749 0.709457i \(-0.748940\pi\)
−0.266925 + 0.963717i \(0.586008\pi\)
\(294\) −1.01534 0.117457i −0.0592159 0.00685023i
\(295\) 8.25038 10.5817i 0.480355 0.616090i
\(296\) 0.457749 0.515413i 0.0266061 0.0299578i
\(297\) 0.304780 10.5824i 0.0176851 0.614054i
\(298\) −8.16334 0.575502i −0.472889 0.0333379i
\(299\) 8.27646 8.85205i 0.478640 0.511927i
\(300\) −50.5072 + 53.3316i −2.91604 + 3.07910i
\(301\) 16.5117 3.42878i 0.951720 0.197632i
\(302\) −1.04053 46.4565i −0.0598760 2.67327i
\(303\) 5.83225 + 12.6538i 0.335054 + 0.726941i
\(304\) 2.96831 7.55637i 0.170245 0.433388i
\(305\) 47.0367 13.6034i 2.69331 0.778931i
\(306\) −44.5507 + 33.1586i −2.54679 + 1.89555i
\(307\) −19.4400 + 19.2543i −1.10950 + 1.09890i −0.115085 + 0.993356i \(0.536714\pi\)
−0.994414 + 0.105546i \(0.966341\pi\)
\(308\) 8.50206 3.95170i 0.484450 0.225169i
\(309\) −29.8967 36.3847i −1.70076 2.06985i
\(310\) −3.32458 + 10.1436i −0.188823 + 0.576117i
\(311\) −2.22897 + 1.48806i −0.126393 + 0.0843802i −0.616829 0.787097i \(-0.711583\pi\)
0.490436 + 0.871477i \(0.336838\pi\)
\(312\) −1.56100 1.50701i −0.0883742 0.0853177i
\(313\) 29.1397 + 5.85683i 1.64707 + 0.331048i 0.930451 0.366416i \(-0.119415\pi\)
0.716620 + 0.697464i \(0.245688\pi\)
\(314\) 38.0732 17.1072i 2.14860 0.965415i
\(315\) 25.0606 50.0919i 1.41200 2.82236i
\(316\) 13.1487 + 7.16735i 0.739674 + 0.403195i
\(317\) 14.8042 7.46574i 0.831488 0.419318i 0.0172517 0.999851i \(-0.494508\pi\)
0.814236 + 0.580534i \(0.197156\pi\)
\(318\) −6.83727 + 73.4848i −0.383415 + 4.12082i
\(319\) 3.23818 4.09884i 0.181303 0.229491i
\(320\) 22.2997 + 31.4056i 1.24659 + 1.75563i
\(321\) 10.2230 11.6602i 0.570592 0.650810i
\(322\) −19.8198 + 26.4521i −1.10451 + 1.47412i
\(323\) 11.3740 + 2.74412i 0.632864 + 0.152687i
\(324\) 5.51753 2.65089i 0.306529 0.147272i
\(325\) −10.1200 + 20.5558i −0.561354 + 1.14023i
\(326\) −0.159970 + 2.17014i −0.00885994 + 0.120193i
\(327\) 3.39498 + 17.7724i 0.187743 + 0.982815i
\(328\) −3.41439 + 1.91825i −0.188528 + 0.105918i
\(329\) 17.9737 + 2.42968i 0.990920 + 0.133952i
\(330\) −3.39666 39.2255i −0.186980 2.15929i
\(331\) −2.86715 1.20107i −0.157593 0.0660166i 0.306166 0.951978i \(-0.400954\pi\)
−0.463759 + 0.885962i \(0.653500\pi\)
\(332\) 27.6503 + 9.95273i 1.51751 + 0.546227i
\(333\) 6.66936 + 6.60565i 0.365479 + 0.361988i
\(334\) −24.6803 3.49722i −1.35045 0.191359i
\(335\) 3.95169 + 31.5078i 0.215904 + 1.72146i
\(336\) −21.2839 16.4855i −1.16113 0.899358i
\(337\) −14.7270 + 23.4975i −0.802231 + 1.27999i 0.154203 + 0.988039i \(0.450719\pi\)
−0.956434 + 0.291949i \(0.905696\pi\)
\(338\) 16.7327 + 8.43829i 0.910141 + 0.458982i
\(339\) −4.35951 6.30920i −0.236776 0.342669i
\(340\) −33.6636 + 31.6771i −1.82567 + 1.71793i
\(341\) −1.05462 1.80879i −0.0571109 0.0979517i
\(342\) −22.1030 10.1019i −1.19519 0.546247i
\(343\) 17.9371 5.43725i 0.968514 0.293584i
\(344\) 2.34588 + 0.827484i 0.126482 + 0.0446150i
\(345\) 39.6873 + 60.7013i 2.13669 + 3.26805i
\(346\) −3.55879 + 25.7066i −0.191322 + 1.38199i
\(347\) 15.0456 + 6.64499i 0.807692 + 0.356722i 0.766350 0.642423i \(-0.222071\pi\)
0.0413422 + 0.999145i \(0.486837\pi\)
\(348\) 19.6519 + 3.81921i 1.05345 + 0.204731i
\(349\) 1.44602 + 9.97488i 0.0774035 + 0.533943i 0.991667 + 0.128824i \(0.0411202\pi\)
−0.914264 + 0.405119i \(0.867230\pi\)
\(350\) 21.3528 58.7314i 1.14136 3.13933i
\(351\) 9.27236 8.61402i 0.494922 0.459782i
\(352\) −13.2263 1.44435i −0.704965 0.0769844i
\(353\) 2.68378 + 2.69238i 0.142843 + 0.143301i 0.776025 0.630702i \(-0.217233\pi\)
−0.633182 + 0.774003i \(0.718251\pi\)
\(354\) −15.2627 + 11.8218i −0.811204 + 0.628321i
\(355\) 1.12208 + 11.2771i 0.0595540 + 0.598527i
\(356\) 0.772315 + 2.16735i 0.0409326 + 0.114869i
\(357\) 19.3280 33.6425i 1.02294 1.78055i
\(358\) −32.4180 + 33.3651i −1.71335 + 1.76340i
\(359\) −4.40257 + 2.29134i −0.232359 + 0.120932i −0.573872 0.818945i \(-0.694559\pi\)
0.341514 + 0.939877i \(0.389060\pi\)
\(360\) 6.98658 4.41003i 0.368225 0.232429i
\(361\) −3.64244 13.3936i −0.191707 0.704927i
\(362\) −1.96083 + 0.277851i −0.103059 + 0.0146035i
\(363\) −19.1471 14.2509i −1.00496 0.747981i
\(364\) 10.4963 + 3.93058i 0.550157 + 0.206018i
\(365\) −55.9179 + 21.3486i −2.92688 + 1.11744i
\(366\) −70.4133 + 2.25341i −3.68056 + 0.117788i
\(367\) −1.83222 16.2948i −0.0956409 0.850583i −0.945953 0.324304i \(-0.894870\pi\)
0.850312 0.526279i \(-0.176413\pi\)
\(368\) 20.5652 8.30717i 1.07203 0.433041i
\(369\) −23.5555 47.8463i −1.22625 2.49078i
\(370\) 11.7634 + 9.23238i 0.611549 + 0.479968i
\(371\) −10.2177 31.1750i −0.530474 1.61852i
\(372\) 4.30491 6.77196i 0.223199 0.351110i
\(373\) 0.960032 23.0703i 0.0497086 1.19454i −0.776109 0.630599i \(-0.782809\pi\)
0.825818 0.563937i \(-0.190714\pi\)
\(374\) −0.499581 17.3462i −0.0258327 0.896952i
\(375\) −60.1379 50.3889i −3.10551 2.60207i
\(376\) 2.08326 + 1.67855i 0.107436 + 0.0865644i
\(377\) 6.20776 0.677906i 0.319716 0.0349139i
\(378\) −22.5905 + 26.1015i −1.16193 + 1.34252i
\(379\) 4.11323 + 1.27563i 0.211282 + 0.0655247i 0.400034 0.916500i \(-0.368998\pi\)
−0.188752 + 0.982025i \(0.560444\pi\)
\(380\) −19.2413 6.23827i −0.987057 0.320016i
\(381\) 6.07578 51.0889i 0.311272 2.61737i
\(382\) −36.8628 + 35.1350i −1.88607 + 1.79766i
\(383\) 10.6635 + 20.0173i 0.544879 + 1.02284i 0.991744 + 0.128237i \(0.0409317\pi\)
−0.446864 + 0.894602i \(0.647459\pi\)
\(384\) −3.17049 8.22531i −0.161793 0.419746i
\(385\) 8.32736 + 15.3938i 0.424401 + 0.784541i
\(386\) 1.29458 0.684332i 0.0658924 0.0348316i
\(387\) −12.9880 + 31.2850i −0.660217 + 1.59031i
\(388\) 3.41981 + 2.31483i 0.173614 + 0.117518i
\(389\) 19.8505 + 7.28897i 1.00646 + 0.369565i 0.794205 0.607650i \(-0.207887\pi\)
0.212253 + 0.977215i \(0.431920\pi\)
\(390\) 30.5740 35.7860i 1.54818 1.81209i
\(391\) 15.9235 + 27.7166i 0.805285 + 1.40169i
\(392\) 0.0649441 + 0.0165508i 0.00328017 + 0.000835944i
\(393\) −23.9907 36.1859i −1.21017 1.82534i
\(394\) 3.17380 52.1498i 0.159894 2.62727i
\(395\) −11.8639 + 25.3129i −0.596937 + 1.27363i
\(396\) −3.05902 + 18.5821i −0.153721 + 0.933787i
\(397\) −1.91296 + 28.4311i −0.0960085 + 1.42691i 0.649471 + 0.760386i \(0.274990\pi\)
−0.745480 + 0.666528i \(0.767780\pi\)
\(398\) −7.04268 8.79819i −0.353017 0.441014i
\(399\) 16.9751 + 0.325878i 0.849818 + 0.0163143i
\(400\) −32.6534 + 26.3098i −1.63267 + 1.31549i
\(401\) −12.9115 + 12.9529i −0.644770 + 0.646836i −0.952465 0.304649i \(-0.901461\pi\)
0.307694 + 0.951485i \(0.400443\pi\)
\(402\) 5.68565 45.3331i 0.283574 2.26101i
\(403\) 0.656857 2.41533i 0.0327204 0.120316i
\(404\) −3.11230 10.1502i −0.154843 0.504990i
\(405\) 5.56510 + 9.98023i 0.276532 + 0.495921i
\(406\) −16.6310 + 3.67615i −0.825383 + 0.182444i
\(407\) −2.88621 + 0.522680i −0.143064 + 0.0259083i
\(408\) 5.00746 2.77126i 0.247906 0.137198i
\(409\) −8.46800 9.41273i −0.418715 0.465430i 0.496710 0.867916i \(-0.334541\pi\)
−0.915426 + 0.402487i \(0.868146\pi\)
\(410\) −46.0351 71.4034i −2.27351 3.52636i
\(411\) 0.0617259 + 19.2942i 0.00304471 + 0.951714i
\(412\) 18.8610 + 30.5257i 0.929215 + 1.50389i
\(413\) 4.13140 7.52183i 0.203293 0.370125i
\(414\) −21.4838 62.8211i −1.05587 3.08749i
\(415\) −15.4094 + 52.6496i −0.756420 + 2.58447i
\(416\) −9.86004 12.4807i −0.483428 0.611916i
\(417\) 3.00136 1.94865i 0.146977 0.0954257i
\(418\) 6.54781 3.84583i 0.320264 0.188106i
\(419\) 15.3714 13.0478i 0.750942 0.637428i −0.187737 0.982219i \(-0.560115\pi\)
0.938679 + 0.344791i \(0.112050\pi\)
\(420\) −37.7766 + 55.4263i −1.84331 + 2.70453i
\(421\) 7.95131 0.816861i 0.387523 0.0398113i 0.0935240 0.995617i \(-0.470187\pi\)
0.293999 + 0.955806i \(0.405014\pi\)
\(422\) 45.6274 + 7.36140i 2.22111 + 0.358347i
\(423\) −24.3657 + 27.0841i −1.18470 + 1.31687i
\(424\) 1.08976 4.71491i 0.0529233 0.228976i
\(425\) −44.0127 41.4156i −2.13493 2.00895i
\(426\) 2.44249 16.1215i 0.118339 0.781090i
\(427\) 28.3136 13.3809i 1.37019 0.647549i
\(428\) −8.90957 + 7.76111i −0.430660 + 0.375147i
\(429\) 1.26604 + 9.14513i 0.0611251 + 0.441531i
\(430\) −14.8260 + 51.8855i −0.714975 + 2.50214i
\(431\) 0.284647 + 1.44004i 0.0137110 + 0.0693644i 0.987261 0.159110i \(-0.0508625\pi\)
−0.973550 + 0.228475i \(0.926626\pi\)
\(432\) 22.0345 7.14385i 1.06013 0.343708i
\(433\) 3.89695 0.0498709i 0.187275 0.00239664i 0.0808976 0.996722i \(-0.474221\pi\)
0.106378 + 0.994326i \(0.466075\pi\)
\(434\) −1.06584 + 6.74342i −0.0511620 + 0.323694i
\(435\) −4.88784 + 37.0505i −0.234354 + 1.77644i
\(436\) −0.749440 13.7664i −0.0358917 0.659292i
\(437\) −7.27606 + 11.9463i −0.348061 + 0.571467i
\(438\) 85.5476 9.89635i 4.08762 0.472866i
\(439\) 21.0454 8.18949i 1.00444 0.390863i 0.196741 0.980456i \(-0.436964\pi\)
0.807701 + 0.589593i \(0.200712\pi\)
\(440\) −0.123839 + 2.57866i −0.00590380 + 0.122933i
\(441\) −0.273119 + 0.870809i −0.0130057 + 0.0414671i
\(442\) 14.3610 14.9711i 0.683084 0.712100i
\(443\) 1.07907 + 2.74697i 0.0512682 + 0.130512i 0.954106 0.299469i \(-0.0968094\pi\)
−0.902838 + 0.429981i \(0.858520\pi\)
\(444\) −6.85515 8.90919i −0.325331 0.422812i
\(445\) −3.95086 + 1.68484i −0.187289 + 0.0798689i
\(446\) 3.68362 + 5.25876i 0.174424 + 0.249010i
\(447\) −2.94273 + 11.1007i −0.139186 + 0.525045i
\(448\) 17.2795 + 17.5581i 0.816379 + 0.829543i
\(449\) −41.5495 + 6.43098i −1.96084 + 0.303497i −0.961224 + 0.275768i \(0.911068\pi\)
−0.999615 + 0.0277294i \(0.991172\pi\)
\(450\) 73.3267 + 101.882i 3.45665 + 4.80277i
\(451\) 16.4681 + 2.54892i 0.775453 + 0.120024i
\(452\) 2.64785 + 5.20906i 0.124545 + 0.245014i
\(453\) −64.3091 10.7981i −3.02150 0.507338i
\(454\) −1.07006 + 0.229356i −0.0502202 + 0.0107642i
\(455\) −6.13359 + 20.0036i −0.287547 + 0.937782i
\(456\) 2.11779 + 1.33678i 0.0991747 + 0.0626004i
\(457\) 13.5060 + 1.12601i 0.631783 + 0.0526723i 0.394689 0.918815i \(-0.370852\pi\)
0.237093 + 0.971487i \(0.423805\pi\)
\(458\) −16.0746 9.58019i −0.751115 0.447653i
\(459\) 14.5531 + 30.0441i 0.679282 + 1.40234i
\(460\) −23.7718 49.8865i −1.10836 2.32597i
\(461\) 14.6739 36.6640i 0.683433 1.70761i −0.0229054 0.999738i \(-0.507292\pi\)
0.706338 0.707875i \(-0.250346\pi\)
\(462\) −6.14056 24.4213i −0.285685 1.13618i
\(463\) 10.1620 9.08342i 0.472269 0.422142i −0.395989 0.918255i \(-0.629598\pi\)
0.868258 + 0.496113i \(0.165240\pi\)
\(464\) 10.8260 + 3.66367i 0.502585 + 0.170082i
\(465\) 13.1064 + 7.25343i 0.607795 + 0.336370i
\(466\) 12.1333 + 52.4955i 0.562064 + 2.43181i
\(467\) −4.81353 + 8.25576i −0.222744 + 0.382031i −0.953874 0.300207i \(-0.902944\pi\)
0.731130 + 0.682238i \(0.238993\pi\)
\(468\) −18.3981 + 12.9753i −0.850451 + 0.599782i
\(469\) 5.70482 + 19.4917i 0.263424 + 0.900045i
\(470\) −33.6000 + 47.3204i −1.54985 + 2.18273i
\(471\) −13.5554 56.9841i −0.624600 2.62569i
\(472\) 1.09560 0.634101i 0.0504289 0.0291869i
\(473\) −5.67838 8.93252i −0.261092 0.410718i
\(474\) 25.5350 31.0764i 1.17286 1.42739i
\(475\) 6.61283 25.6056i 0.303417 1.17486i
\(476\) −18.0285 + 23.4305i −0.826337 + 1.07394i
\(477\) 63.3031 + 18.3078i 2.89845 + 0.838257i
\(478\) −40.0973 + 15.0153i −1.83401 + 0.686786i
\(479\) −10.5870 + 9.34212i −0.483732 + 0.426852i −0.868146 0.496308i \(-0.834689\pi\)
0.384414 + 0.923161i \(0.374403\pi\)
\(480\) 86.5744 39.5677i 3.95156 1.80601i
\(481\) −2.86553 2.02092i −0.130657 0.0921461i
\(482\) −3.53328 + 10.3317i −0.160936 + 0.470597i
\(483\) 31.2425 + 34.2843i 1.42158 + 1.55999i
\(484\) 13.0033 + 12.7153i 0.591058 + 0.577968i
\(485\) −3.92544 + 6.63464i −0.178245 + 0.301264i
\(486\) 5.94391 + 22.4219i 0.269621 + 1.01708i
\(487\) 14.2290 16.8721i 0.644779 0.764546i −0.339607 0.940567i \(-0.610294\pi\)
0.984386 + 0.176021i \(0.0563227\pi\)
\(488\) 4.59517 + 0.472075i 0.208014 + 0.0213698i
\(489\) 2.94918 + 0.791916i 0.133366 + 0.0358117i
\(490\) −0.272791 + 1.42803i −0.0123234 + 0.0645120i
\(491\) −0.684720 2.04484i −0.0309010 0.0922824i 0.931677 0.363289i \(-0.118346\pi\)
−0.962578 + 0.271006i \(0.912644\pi\)
\(492\) 20.2788 + 60.5604i 0.914239 + 2.73028i
\(493\) −3.09061 + 16.1790i −0.139194 + 0.728668i
\(494\) 8.76741 + 2.35423i 0.394464 + 0.105922i
\(495\) −34.9710 3.59268i −1.57183 0.161479i
\(496\) 2.95343 3.50202i 0.132613 0.157246i
\(497\) 1.85729 + 7.00615i 0.0833108 + 0.314269i
\(498\) 40.1914 67.9302i 1.80102 3.04403i
\(499\) 5.72839 + 5.60152i 0.256438 + 0.250759i 0.816030 0.578010i \(-0.196170\pi\)
−0.559592 + 0.828768i \(0.689042\pi\)
\(500\) 40.2666 + 44.1871i 1.80078 + 1.97611i
\(501\) −11.3190 + 33.0982i −0.505697 + 1.47872i
\(502\) −17.3893 12.2638i −0.776123 0.547362i
\(503\) 27.5748 12.6027i 1.22950 0.561927i 0.308402 0.951256i \(-0.400206\pi\)
0.921099 + 0.389329i \(0.127293\pi\)
\(504\) 3.96214 3.49625i 0.176488 0.155735i
\(505\) 18.5599 6.95018i 0.825906 0.309279i
\(506\) 19.9292 + 5.76370i 0.885961 + 0.256228i
\(507\) 16.0371 20.8423i 0.712232 0.925641i
\(508\) −9.80267 + 37.9570i −0.434923 + 1.68407i
\(509\) −1.10791 + 1.34834i −0.0491073 + 0.0597643i −0.796605 0.604500i \(-0.793373\pi\)
0.747498 + 0.664264i \(0.231255\pi\)
\(510\) 66.6044 + 104.774i 2.94929 + 4.63946i
\(511\) −33.1322 + 19.1760i −1.46568 + 0.848298i
\(512\) −7.37690 31.0109i −0.326016 1.37050i
\(513\) −8.45742 + 11.9110i −0.373404 + 0.525882i
\(514\) 1.90854 + 6.52093i 0.0841821 + 0.287626i
\(515\) −54.7399 + 38.6054i −2.41213 + 1.70116i
\(516\) 20.4324 35.0439i 0.899486 1.54272i
\(517\) −2.56354 11.0913i −0.112744 0.487795i
\(518\) 8.36799 + 4.63107i 0.367668 + 0.203477i
\(519\) 34.4966 + 11.6741i 1.51423 + 0.512437i
\(520\) −2.30101 + 2.05678i −0.100906 + 0.0901956i
\(521\) −1.79442 7.13646i −0.0786148 0.312654i 0.917822 0.396991i \(-0.129946\pi\)
−0.996437 + 0.0843369i \(0.973123\pi\)
\(522\) 12.7123 31.7628i 0.556404 1.39022i
\(523\) −2.28449 4.79414i −0.0998938 0.209633i 0.846693 0.532081i \(-0.178590\pi\)
−0.946587 + 0.322448i \(0.895494\pi\)
\(524\) 14.4217 + 29.7728i 0.630016 + 1.30063i
\(525\) −75.3323 44.8969i −3.28777 1.95946i
\(526\) −57.0236 4.75411i −2.48635 0.207289i
\(527\) 5.58311 + 3.52414i 0.243204 + 0.153514i
\(528\) −4.95350 + 16.1549i −0.215573 + 0.703052i
\(529\) −14.8762 + 3.18858i −0.646793 + 0.138634i
\(530\) 103.527 + 17.3832i 4.49693 + 0.755076i
\(531\) 7.81103 + 15.3665i 0.338970 + 0.666848i
\(532\) −12.7846 1.97879i −0.554283 0.0857914i
\(533\) 11.6372 + 16.1691i 0.504064 + 0.700360i
\(534\) 6.10704 0.945241i 0.264277 0.0409046i
\(535\) −15.4717 15.7211i −0.668898 0.679684i
\(536\) −0.767646 + 2.89575i −0.0331573 + 0.125077i
\(537\) 37.4542 + 53.4699i 1.61627 + 2.30739i
\(538\) 3.10359 1.32352i 0.133805 0.0570610i
\(539\) −0.173903 0.226011i −0.00749054 0.00973496i
\(540\) −21.1011 53.7165i −0.908046 2.31159i
\(541\) −24.5463 + 25.5890i −1.05533 + 1.10016i −0.0605431 + 0.998166i \(0.519283\pi\)
−0.994785 + 0.101992i \(0.967478\pi\)
\(542\) 8.43810 26.9039i 0.362447 1.15562i
\(543\) −0.133313 + 2.77594i −0.00572101 + 0.119127i
\(544\) 39.0984 15.2145i 1.67633 0.652317i
\(545\) 25.5661 2.95754i 1.09513 0.126687i
\(546\) 15.6592 25.7101i 0.670151 1.10029i
\(547\) 1.03321 + 18.9790i 0.0441770 + 0.811485i 0.934458 + 0.356074i \(0.115885\pi\)
−0.890281 + 0.455412i \(0.849492\pi\)
\(548\) 1.92283 14.5753i 0.0821394 0.622628i
\(549\) −9.82040 + 62.1322i −0.419124 + 2.65174i
\(550\) −39.2200 + 0.501915i −1.67235 + 0.0214017i
\(551\) −6.85646 + 2.22295i −0.292095 + 0.0947009i
\(552\) 1.32676 + 6.71213i 0.0564705 + 0.285687i
\(553\) −4.91235 + 17.1913i −0.208894 + 0.731050i
\(554\) −5.94781 42.9634i −0.252698 1.82534i
\(555\) 15.8232 13.7835i 0.671656 0.585079i
\(556\) −2.46523 + 1.16506i −0.104549 + 0.0494096i
\(557\) −2.96445 + 19.5667i −0.125608 + 0.829066i 0.834817 + 0.550527i \(0.185573\pi\)
−0.960425 + 0.278539i \(0.910150\pi\)
\(558\) −9.98697 9.39765i −0.422782 0.397834i
\(559\) 2.84949 12.3285i 0.120521 0.521440i
\(560\) −25.6112 + 28.4685i −1.08227 + 1.20301i
\(561\) −24.0414 3.87877i −1.01503 0.163762i
\(562\) 20.2584 2.08120i 0.854548 0.0877901i
\(563\) 21.4966 31.5401i 0.905976 1.32926i −0.0380123 0.999277i \(-0.512103\pi\)
0.943988 0.329980i \(-0.107042\pi\)
\(564\) 33.2609 28.2332i 1.40054 1.18883i
\(565\) −9.40580 + 5.52447i −0.395705 + 0.232416i
\(566\) −18.3397 + 11.9071i −0.770874 + 0.500495i
\(567\) 4.53053 + 5.73468i 0.190265 + 0.240834i
\(568\) −0.300319 + 1.02610i −0.0126011 + 0.0430544i
\(569\) −13.4482 39.3240i −0.563777 1.64855i −0.746500 0.665385i \(-0.768267\pi\)
0.182724 0.983164i \(-0.441509\pi\)
\(570\) −26.1543 + 47.6178i −1.09548 + 1.99449i
\(571\) 5.75349 + 9.31178i 0.240776 + 0.389686i 0.948487 0.316817i \(-0.102614\pi\)
−0.707711 + 0.706503i \(0.750272\pi\)
\(572\) −0.0225053 7.03470i −0.000940996 0.294136i
\(573\) 38.7234 + 60.0625i 1.61769 + 2.50915i
\(574\) −36.3408 40.3951i −1.51683 1.68606i
\(575\) 63.2145 34.9846i 2.63623 1.45896i
\(576\) −48.6906 + 8.81765i −2.02877 + 0.367402i
\(577\) 40.2941 8.90669i 1.67746 0.370790i 0.728223 0.685340i \(-0.240347\pi\)
0.949241 + 0.314550i \(0.101854\pi\)
\(578\) 9.70581 + 17.4060i 0.403708 + 0.723994i
\(579\) −0.602402 1.96462i −0.0250350 0.0816469i
\(580\) 7.47270 27.4779i 0.310287 1.14096i
\(581\) −4.36625 + 34.8132i −0.181142 + 1.44429i
\(582\) 7.83033 7.85542i 0.324578 0.325618i
\(583\) −16.0340 + 12.9191i −0.664058 + 0.535052i
\(584\) −5.64572 0.108383i −0.233622 0.00448493i
\(585\) −26.2632 32.8098i −1.08585 1.35652i
\(586\) 2.36204 35.1055i 0.0975748 1.45019i
\(587\) 4.37466 26.5741i 0.180562 1.09683i −0.729997 0.683450i \(-0.760479\pi\)
0.910559 0.413379i \(-0.135652\pi\)
\(588\) 0.463824 0.989617i 0.0191278 0.0408111i
\(589\) −0.175505 + 2.88378i −0.00723155 + 0.118824i
\(590\) 15.1738 + 22.8872i 0.624697 + 0.942249i
\(591\) −71.0470 18.1061i −2.92248 0.744787i
\(592\) −3.19696 5.56468i −0.131394 0.228707i
\(593\) −9.05691 + 10.6008i −0.371923 + 0.435325i −0.914441 0.404719i \(-0.867369\pi\)
0.542518 + 0.840044i \(0.317471\pi\)
\(594\) 20.3385 + 7.46817i 0.834498 + 0.306423i
\(595\) −45.7026 30.9357i −1.87362 1.26824i
\(596\) 3.35514 8.08175i 0.137432 0.331041i
\(597\) −13.9817 + 7.39091i −0.572233 + 0.302490i
\(598\) 11.8003 + 21.8138i 0.482550 + 0.892033i
\(599\) −5.66978 14.7093i −0.231661 0.601005i 0.767539 0.641002i \(-0.221481\pi\)
−0.999200 + 0.0399969i \(0.987265\pi\)
\(600\) −6.08193 11.4169i −0.248294 0.466093i
\(601\) 12.9806 12.3722i 0.529491 0.504672i −0.377393 0.926053i \(-0.623179\pi\)
0.906884 + 0.421381i \(0.138454\pi\)
\(602\) −4.07573 + 34.2712i −0.166114 + 1.39679i
\(603\) −38.8060 12.5814i −1.58030 0.512354i
\(604\) 47.4575 + 14.7179i 1.93102 + 0.598863i
\(605\) −22.2179 + 25.6710i −0.903286 + 1.04367i
\(606\) −28.3462 + 3.09550i −1.15149 + 0.125746i
\(607\) −34.5600 27.8461i −1.40275 1.13024i −0.973930 0.226847i \(-0.927158\pi\)
−0.428818 0.903391i \(-0.641070\pi\)
\(608\) 14.0721 + 11.7908i 0.570697 + 0.478181i
\(609\) 0.688101 + 23.8919i 0.0278832 + 0.968149i
\(610\) −4.16635 + 100.121i −0.168691 + 4.05377i
\(611\) 7.30078 11.4847i 0.295358 0.464621i
\(612\) −18.4950 56.4298i −0.747614 2.28104i
\(613\) 17.8603 + 14.0175i 0.721372 + 0.566162i 0.909361 0.416009i \(-0.136571\pi\)
−0.187988 + 0.982171i \(0.560197\pi\)
\(614\) −24.7329 50.2377i −0.998138 2.02743i
\(615\) −110.543 + 44.6531i −4.45752 + 1.80059i
\(616\) 0.184495 + 1.64081i 0.00743350 + 0.0661099i
\(617\) 35.2786 1.12901i 1.42026 0.0454522i 0.687622 0.726069i \(-0.258655\pi\)
0.732639 + 0.680617i \(0.238288\pi\)
\(618\) 90.0368 34.3747i 3.62181 1.38275i
\(619\) −21.9819 8.23161i −0.883527 0.330856i −0.132543 0.991177i \(-0.542314\pi\)
−0.750984 + 0.660321i \(0.770420\pi\)
\(620\) −9.15623 6.81488i −0.367723 0.273692i
\(621\) −39.5147 + 5.59927i −1.58567 + 0.224691i
\(622\) −1.43934 5.29258i −0.0577121 0.212213i
\(623\) −2.32297 + 1.46629i −0.0930679 + 0.0587458i
\(624\) −17.9185 + 9.32577i −0.717315 + 0.373330i
\(625\) −37.0453 + 38.1276i −1.48181 + 1.52510i
\(626\) −30.3016 + 52.7434i −1.21110 + 2.10805i
\(627\) −3.57696 10.0380i −0.142850 0.400881i
\(628\) 4.41906 + 44.4122i 0.176340 + 1.77224i
\(629\) 7.31219 5.66368i 0.291556 0.225826i
\(630\) 80.9249 + 81.1842i 3.22413 + 3.23446i
\(631\) 27.1150 + 2.96104i 1.07943 + 0.117877i 0.630880 0.775880i \(-0.282694\pi\)
0.448551 + 0.893757i \(0.351940\pi\)
\(632\) −1.93221 + 1.79502i −0.0768591 + 0.0714020i
\(633\) 22.1609 60.9539i 0.880816 2.42270i
\(634\) 4.86809 + 33.5809i 0.193336 + 1.33367i
\(635\) −71.8371 13.9611i −2.85077 0.554028i
\(636\) −72.1879 31.8822i −2.86244 1.26421i
\(637\) 0.0467498 0.337692i 0.00185229 0.0133799i
\(638\) 5.85008 + 8.94763i 0.231607 + 0.354240i
\(639\) −13.7299 4.84307i −0.543146 0.191589i
\(640\) −11.9996 + 3.63741i −0.474325 + 0.143781i
\(641\) −0.822869 0.376081i −0.0325014 0.0148543i 0.399363 0.916793i \(-0.369231\pi\)
−0.431864 + 0.901939i \(0.642144\pi\)
\(642\) 15.9850 + 27.4161i 0.630878 + 1.08203i
\(643\) 16.6526 15.6700i 0.656716 0.617964i −0.283325 0.959024i \(-0.591438\pi\)
0.940042 + 0.341060i \(0.110786\pi\)
\(644\) −20.0916 29.0771i −0.791721 1.14580i
\(645\) 67.6145 + 34.0978i 2.66232 + 1.34260i
\(646\) −12.7164 + 20.2894i −0.500319 + 0.798277i
\(647\) −4.72796 3.66206i −0.185875 0.143970i 0.515167 0.857090i \(-0.327730\pi\)
−0.701043 + 0.713119i \(0.747282\pi\)
\(648\) 0.134155 + 1.06965i 0.00527012 + 0.0420200i
\(649\) −5.33303 0.755695i −0.209340 0.0296636i
\(650\) −33.3149 32.9967i −1.30672 1.29424i
\(651\) 9.01439 + 3.24473i 0.353302 + 0.127171i
\(652\) −2.14609 0.899009i −0.0840472 0.0352079i
\(653\) −0.221428 2.55710i −0.00866514 0.100067i 0.990682 0.136195i \(-0.0434874\pi\)
−0.999347 + 0.0361280i \(0.988498\pi\)
\(654\) −36.6957 4.96053i −1.43492 0.193972i
\(655\) −53.8404 + 30.2483i −2.10372 + 1.18190i
\(656\) 6.84122 + 35.8132i 0.267105 + 1.39827i
\(657\) 5.65284 76.6860i 0.220538 2.99181i
\(658\) −16.3948 + 33.3013i −0.639136 + 1.29822i
\(659\) 23.9247 11.4946i 0.931975 0.447766i 0.0952888 0.995450i \(-0.469623\pi\)
0.836686 + 0.547683i \(0.184490\pi\)
\(660\) 40.9255 + 9.87383i 1.59302 + 0.384338i
\(661\) 9.41327 12.5632i 0.366134 0.488653i −0.579004 0.815325i \(-0.696558\pi\)
0.945138 + 0.326672i \(0.105927\pi\)
\(662\) 4.19397 4.78359i 0.163003 0.185919i
\(663\) −16.8546 23.7370i −0.654577 0.921870i
\(664\) −3.20828 + 4.06100i −0.124506 + 0.157597i
\(665\) 2.23732 24.0460i 0.0867595 0.932464i
\(666\) −17.1530 + 8.65024i −0.664667 + 0.335190i
\(667\) −17.2899 9.42466i −0.669466 0.364924i
\(668\) 11.9254 23.8370i 0.461409 0.922281i
\(669\) 8.21854 3.69278i 0.317747 0.142771i
\(670\) −63.7129 12.8058i −2.46144 0.494730i
\(671\) −14.1409 13.6519i −0.545905 0.527025i
\(672\) 50.6331 33.8027i 1.95321 1.30397i
\(673\) −9.27618 + 28.3025i −0.357571 + 1.09098i 0.599314 + 0.800514i \(0.295440\pi\)
−0.956885 + 0.290467i \(0.906189\pi\)
\(674\) −36.0299 43.8489i −1.38782 1.68900i
\(675\) 68.4248 31.8034i 2.63367 1.22412i
\(676\) −14.2370 + 14.1010i −0.547578 + 0.542348i
\(677\) 0.280677 0.208905i 0.0107873 0.00802885i −0.591656 0.806190i \(-0.701526\pi\)
0.602444 + 0.798161i \(0.294194\pi\)
\(678\) 15.0767 4.36033i 0.579018 0.167457i
\(679\) −1.80268 + 4.58905i −0.0691806 + 0.176112i
\(680\) −3.40756 7.39313i −0.130674 0.283514i
\(681\) 0.0343886 + 1.53534i 0.00131777 + 0.0588345i
\(682\) 4.19552 0.871230i 0.160655 0.0333611i
\(683\) 8.32901 8.79478i 0.318701 0.336523i −0.546955 0.837162i \(-0.684213\pi\)
0.865656 + 0.500639i \(0.166902\pi\)
\(684\) 17.7471 18.9813i 0.678578 0.725770i
\(685\) 27.3764 + 1.92999i 1.04600 + 0.0737411i
\(686\) −1.10429 + 38.3426i −0.0421619 + 1.46393i
\(687\) −17.4378 + 19.6344i −0.665292 + 0.749100i
\(688\) 14.2398 18.2636i 0.542887 0.696291i
\(689\) −24.4527 2.82875i −0.931575 0.107767i
\(690\) −143.588 + 37.5732i −5.46632 + 1.43039i
\(691\) −8.85687 28.2391i −0.336931 1.07427i −0.957090 0.289790i \(-0.906415\pi\)
0.620159 0.784476i \(-0.287068\pi\)
\(692\) −24.8567 12.3363i −0.944909 0.468956i
\(693\) −22.4470 + 1.29405i −0.852691 + 0.0491567i
\(694\) −22.6725 + 24.8799i −0.860636 + 0.944429i
\(695\) −2.45042 4.46135i −0.0929497 0.169229i
\(696\) −1.73673 + 3.06825i −0.0658304 + 0.116302i
\(697\) −49.7740 + 16.8442i −1.88533 + 0.638021i
\(698\) −20.2972 3.67573i −0.768260 0.139129i
\(699\) 75.5539 2.90195i 2.85771 0.109762i
\(700\) 52.3005 + 41.5911i 1.97677 + 1.57199i
\(701\) −21.4990 13.0002i −0.812005 0.491010i 0.0494915 0.998775i \(-0.484240\pi\)
−0.861496 + 0.507764i \(0.830472\pi\)
\(702\) 10.6912 + 23.5918i 0.403514 + 0.890416i
\(703\) 3.71268 + 1.61142i 0.140027 + 0.0607758i
\(704\) 6.47214 14.0421i 0.243928 0.529232i
\(705\) 56.3787 + 58.7736i 2.12335 + 2.21354i
\(706\) −6.96890 + 3.45865i −0.262278 + 0.130168i
\(707\) 11.0109 6.27910i 0.414107 0.236150i
\(708\) −6.80458 19.4892i −0.255732 0.732450i
\(709\) 1.72861 0.335943i 0.0649192 0.0126166i −0.158210 0.987405i \(-0.550572\pi\)
0.223129 + 0.974789i \(0.428373\pi\)
\(710\) −22.6138 5.15059i −0.848682 0.193298i
\(711\) −22.9770 27.6014i −0.861706 1.03513i
\(712\) −0.405131 + 0.00777748i −0.0151829 + 0.000291473i
\(713\) −6.05002 + 5.06925i −0.226575 + 0.189845i
\(714\) 52.7278 + 59.3701i 1.97329 + 2.22187i
\(715\) 13.1052 0.839667i 0.490109 0.0314018i
\(716\) −22.8237 44.1981i −0.852961 1.65176i
\(717\) 10.1390 + 59.2233i 0.378649 + 2.21173i
\(718\) −1.58574 10.0327i −0.0591792 0.374418i
\(719\) 36.9800 0.946651i 1.37912 0.0353041i 0.671033 0.741428i \(-0.265851\pi\)
0.708089 + 0.706124i \(0.249558\pi\)
\(720\) −18.2791 74.7147i −0.681220 2.78445i
\(721\) −30.6305 + 29.9521i −1.14074 + 1.11547i
\(722\) 28.3590 + 1.63486i 1.05541 + 0.0608433i
\(723\) 13.3108 + 7.59065i 0.495033 + 0.282299i
\(724\) 0.384016 2.08250i 0.0142718 0.0773954i
\(725\) 36.4524 + 7.56961i 1.35381 + 0.281128i
\(726\) 40.0980 27.8968i 1.48818 1.03535i
\(727\) 8.21523 5.11236i 0.304686 0.189607i −0.367433 0.930050i \(-0.619763\pi\)
0.672119 + 0.740443i \(0.265384\pi\)
\(728\) −1.24335 + 1.53307i −0.0460816 + 0.0568193i
\(729\) 40.8422 2.87931i 1.51267 0.106641i
\(730\) −5.09300 122.389i −0.188500 4.52981i
\(731\) 28.8869 + 16.7190i 1.06842 + 0.618373i
\(732\) 21.6219 72.1600i 0.799169 2.66711i
\(733\) 16.0757 28.8294i 0.593768 1.06484i −0.395464 0.918481i \(-0.629416\pi\)
0.989232 0.146357i \(-0.0467549\pi\)
\(734\) 32.8128 + 7.03312i 1.21114 + 0.259597i
\(735\) 1.89656 + 0.752023i 0.0699555 + 0.0277388i
\(736\) 3.04683 + 50.0635i 0.112308 + 1.84537i
\(737\) 10.1768 7.67612i 0.374866 0.282754i
\(738\) 108.159 14.6209i 3.98138 0.538203i
\(739\) −9.14341 40.7460i −0.336346 1.49887i −0.792999 0.609223i \(-0.791482\pi\)
0.456653 0.889645i \(-0.349048\pi\)
\(740\) −13.3550 + 8.79279i −0.490939 + 0.323229i
\(741\) 5.55356 11.4650i 0.204015 0.421177i
\(742\) 67.1388 + 0.429583i 2.46474 + 0.0157705i
\(743\) −20.5076 21.9338i −0.752352 0.804674i 0.233489 0.972359i \(-0.424986\pi\)
−0.985841 + 0.167686i \(0.946371\pi\)
\(744\) 0.890175 + 1.09760i 0.0326354 + 0.0402399i
\(745\) 15.4392 + 5.33519i 0.565650 + 0.195466i
\(746\) 44.1471 + 16.8547i 1.61634 + 0.617095i
\(747\) −52.8435 46.6299i −1.93344 1.70610i
\(748\) 17.7577 + 5.38285i 0.649285 + 0.196817i
\(749\) −11.3704 8.35036i −0.415467 0.305116i
\(750\) 136.865 83.9614i 4.99761 3.06584i
\(751\) 0.132394 41.3837i 0.00483114 1.51011i −0.653236 0.757154i \(-0.726589\pi\)
0.658067 0.752959i \(-0.271374\pi\)
\(752\) 20.9767 13.4292i 0.764942 0.489714i
\(753\) −21.4831 + 20.7400i −0.782886 + 0.755809i
\(754\) −2.71839 + 12.4875i −0.0989978 + 0.454767i
\(755\) −22.0423 + 90.0968i −0.802201 + 3.27896i
\(756\) −18.7955 31.7675i −0.683585 1.15537i
\(757\) −4.97843 + 5.05871i −0.180944 + 0.183862i −0.797258 0.603639i \(-0.793717\pi\)
0.616314 + 0.787501i \(0.288625\pi\)
\(758\) −5.14840 + 7.15332i −0.186998 + 0.259820i
\(759\) 13.1921 25.9525i 0.478843 0.942017i
\(760\) 2.11775 2.86442i 0.0768187 0.103903i
\(761\) 17.5111 26.0491i 0.634777 0.944278i −0.365134 0.930955i \(-0.618977\pi\)
0.999911 0.0133233i \(-0.00424107\pi\)
\(762\) 95.1965 + 44.9897i 3.44861 + 1.62980i
\(763\) 15.8413 4.47183i 0.573495 0.161891i
\(764\) −23.1091 49.3058i −0.836059 1.78382i
\(765\) 103.049 40.8609i 3.72573 1.47733i
\(766\) −45.7756 + 7.68614i −1.65394 + 0.277712i
\(767\) −3.82803 5.17770i −0.138222 0.186956i
\(768\) −36.0814 + 1.61711i −1.30197 + 0.0583525i
\(769\) −26.3840 15.4965i −0.951430 0.558819i −0.0533138 0.998578i \(-0.516978\pi\)
−0.898116 + 0.439759i \(0.855064\pi\)
\(770\) −35.2850 + 6.15705i −1.27158 + 0.221885i