Properties

Label 983.2.c.a.2.3
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 2.3
Character \(\chi\) \(=\) 983.2
Dual form 983.2.c.a.492.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.873868 + 2.60971i) q^{2} +(-2.35753 - 1.32449i) q^{3} +(-4.45024 - 3.35672i) q^{4} +(0.433776 - 0.654278i) q^{5} +(5.51671 - 4.99503i) q^{6} +(-1.45490 + 3.21047i) q^{7} +(8.11063 - 5.56601i) q^{8} +(2.24312 + 3.68287i) q^{9} +O(q^{10})\) \(q+(-0.873868 + 2.60971i) q^{2} +(-2.35753 - 1.32449i) q^{3} +(-4.45024 - 3.35672i) q^{4} +(0.433776 - 0.654278i) q^{5} +(5.51671 - 4.99503i) q^{6} +(-1.45490 + 3.21047i) q^{7} +(8.11063 - 5.56601i) q^{8} +(2.24312 + 3.68287i) q^{9} +(1.32841 + 1.70378i) q^{10} +(-2.67578 - 0.171440i) q^{11} +(6.04561 + 13.8079i) q^{12} +(3.71794 + 4.29577i) q^{13} +(-7.10701 - 6.60241i) q^{14} +(-1.88922 + 0.967943i) q^{15} +(4.37503 + 15.3109i) q^{16} +(-2.36144 + 1.04294i) q^{17} +(-11.5714 + 2.63554i) q^{18} +(-5.97309 - 4.56563i) q^{19} +(-4.12664 + 1.45563i) q^{20} +(7.68221 - 5.64176i) q^{21} +(2.78569 - 6.83320i) q^{22} +(0.529157 + 4.99361i) q^{23} +(-26.4932 + 2.37954i) q^{24} +(1.70670 + 4.03788i) q^{25} +(-14.4597 + 5.94880i) q^{26} +(-0.124844 - 3.54616i) q^{27} +(17.2513 - 9.40366i) q^{28} +(-1.27951 + 1.85174i) q^{29} +(-0.875121 - 5.77619i) q^{30} +(-4.36425 - 6.49215i) q^{31} +(-24.1264 - 1.08131i) q^{32} +(6.08115 + 3.94822i) q^{33} +(-0.658194 - 7.07407i) q^{34} +(1.46944 + 2.34454i) q^{35} +(2.37998 - 23.9192i) q^{36} +(-0.993452 + 0.246420i) q^{37} +(17.1347 - 11.5983i) q^{38} +(-3.07541 - 15.0518i) q^{39} +(-0.123515 - 7.72101i) q^{40} +(6.68351 + 0.600295i) q^{41} +(8.01013 + 24.9785i) q^{42} +(3.20565 + 4.39444i) q^{43} +(11.3324 + 9.74480i) q^{44} +(3.38263 + 0.129924i) q^{45} +(-13.4943 - 2.98281i) q^{46} +(-1.38812 - 4.63266i) q^{47} +(9.96495 - 41.8906i) q^{48} +(-3.57566 - 4.07835i) q^{49} +(-12.0292 + 0.925421i) q^{50} +(6.94852 + 0.668942i) q^{51} +(-2.12599 - 31.5973i) q^{52} +(3.74889 - 3.43829i) q^{53} +(9.36355 + 2.77307i) q^{54} +(-1.27286 + 1.67634i) q^{55} +(6.06932 + 34.1369i) q^{56} +(8.03457 + 18.6749i) q^{57} +(-3.71438 - 4.95732i) q^{58} +(-7.36887 - 0.566898i) q^{59} +(11.6566 + 2.03402i) q^{60} +(1.51279 + 1.28412i) q^{61} +(20.7564 - 5.71616i) q^{62} +(-15.0873 + 1.84323i) q^{63} +(12.4509 - 32.3018i) q^{64} +(4.42338 - 0.569157i) q^{65} +(-15.6179 + 12.4198i) q^{66} +(3.66159 - 3.14863i) q^{67} +(14.0098 + 3.28535i) q^{68} +(5.36650 - 12.4734i) q^{69} +(-7.40266 + 1.78599i) q^{70} +(5.78715 - 4.72427i) q^{71} +(38.6920 + 17.3852i) q^{72} +(-8.05663 - 5.75949i) q^{73} +(0.225059 - 2.80796i) q^{74} +(1.32455 - 11.7799i) q^{75} +(11.2561 + 40.3681i) q^{76} +(4.44340 - 8.34109i) q^{77} +(41.9683 + 5.12732i) q^{78} +(11.4896 - 1.70315i) q^{79} +(11.9154 + 3.77903i) q^{80} +(1.53317 - 2.96899i) q^{81} +(-7.40710 + 16.9175i) q^{82} +(-0.599116 + 0.185803i) q^{83} +(-53.1255 - 0.679869i) q^{84} +(-0.341962 + 1.99744i) q^{85} +(-14.2695 + 4.52567i) q^{86} +(5.46908 - 2.67082i) q^{87} +(-22.6565 + 13.5029i) q^{88} +(-13.5373 - 8.91280i) q^{89} +(-3.29504 + 8.71417i) q^{90} +(-19.2007 + 5.68639i) q^{91} +(14.4073 - 23.9990i) q^{92} +(1.69004 + 21.0858i) q^{93} +(13.3029 + 0.425730i) q^{94} +(-5.57817 + 1.92760i) q^{95} +(55.4465 + 34.5044i) q^{96} +(-16.1156 + 0.825630i) q^{97} +(13.7680 - 5.76750i) q^{98} +(-5.37069 - 10.2391i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.873868 + 2.60971i −0.617918 + 1.84535i −0.0902044 + 0.995923i \(0.528752\pi\)
−0.527714 + 0.849422i \(0.676951\pi\)
\(3\) −2.35753 1.32449i −1.36112 0.764696i −0.374420 0.927259i \(-0.622158\pi\)
−0.986698 + 0.162563i \(0.948024\pi\)
\(4\) −4.45024 3.35672i −2.22512 1.67836i
\(5\) 0.433776 0.654278i 0.193991 0.292602i −0.723528 0.690295i \(-0.757481\pi\)
0.917518 + 0.397694i \(0.130189\pi\)
\(6\) 5.51671 4.99503i 2.25219 2.03921i
\(7\) −1.45490 + 3.21047i −0.549902 + 1.21344i 0.404395 + 0.914584i \(0.367482\pi\)
−0.954297 + 0.298860i \(0.903394\pi\)
\(8\) 8.11063 5.56601i 2.86754 1.96788i
\(9\) 2.24312 + 3.68287i 0.747705 + 1.22762i
\(10\) 1.32841 + 1.70378i 0.420081 + 0.538784i
\(11\) −2.67578 0.171440i −0.806778 0.0516911i −0.344906 0.938637i \(-0.612089\pi\)
−0.461873 + 0.886946i \(0.652822\pi\)
\(12\) 6.04561 + 13.8079i 1.74522 + 3.98599i
\(13\) 3.71794 + 4.29577i 1.03117 + 1.19143i 0.981262 + 0.192679i \(0.0617176\pi\)
0.0499079 + 0.998754i \(0.484107\pi\)
\(14\) −7.10701 6.60241i −1.89943 1.76457i
\(15\) −1.88922 + 0.967943i −0.487796 + 0.249922i
\(16\) 4.37503 + 15.3109i 1.09376 + 3.82773i
\(17\) −2.36144 + 1.04294i −0.572733 + 0.252951i −0.670066 0.742301i \(-0.733734\pi\)
0.0973337 + 0.995252i \(0.468969\pi\)
\(18\) −11.5714 + 2.63554i −2.72741 + 0.621203i
\(19\) −5.97309 4.56563i −1.37032 1.04743i −0.992590 0.121510i \(-0.961226\pi\)
−0.377730 0.925916i \(-0.623295\pi\)
\(20\) −4.12664 + 1.45563i −0.922744 + 0.325488i
\(21\) 7.68221 5.64176i 1.67640 1.23113i
\(22\) 2.78569 6.83320i 0.593911 1.45684i
\(23\) 0.529157 + 4.99361i 0.110337 + 1.04124i 0.902429 + 0.430839i \(0.141782\pi\)
−0.792092 + 0.610402i \(0.791008\pi\)
\(24\) −26.4932 + 2.37954i −5.40789 + 0.485723i
\(25\) 1.70670 + 4.03788i 0.341340 + 0.807577i
\(26\) −14.4597 + 5.94880i −2.83578 + 1.16666i
\(27\) −0.124844 3.54616i −0.0240263 0.682458i
\(28\) 17.2513 9.40366i 3.26019 1.77712i
\(29\) −1.27951 + 1.85174i −0.237599 + 0.343859i −0.923338 0.383988i \(-0.874550\pi\)
0.685739 + 0.727847i \(0.259479\pi\)
\(30\) −0.875121 5.77619i −0.159774 1.05458i
\(31\) −4.36425 6.49215i −0.783843 1.16602i −0.982556 0.185967i \(-0.940458\pi\)
0.198713 0.980058i \(-0.436324\pi\)
\(32\) −24.1264 1.08131i −4.26499 0.191150i
\(33\) 6.08115 + 3.94822i 1.05859 + 0.687297i
\(34\) −0.658194 7.07407i −0.112879 1.21319i
\(35\) 1.46944 + 2.34454i 0.248380 + 0.396299i
\(36\) 2.37998 23.9192i 0.396664 3.98653i
\(37\) −0.993452 + 0.246420i −0.163322 + 0.0405113i −0.321557 0.946890i \(-0.604206\pi\)
0.158234 + 0.987402i \(0.449420\pi\)
\(38\) 17.1347 11.5983i 2.77961 1.88149i
\(39\) −3.07541 15.0518i −0.492460 2.41021i
\(40\) −0.123515 7.72101i −0.0195294 1.22080i
\(41\) 6.68351 + 0.600295i 1.04379 + 0.0937503i 0.598087 0.801431i \(-0.295928\pi\)
0.445702 + 0.895182i \(0.352954\pi\)
\(42\) 8.01013 + 24.9785i 1.23599 + 3.85427i
\(43\) 3.20565 + 4.39444i 0.488857 + 0.670146i 0.979553 0.201185i \(-0.0644794\pi\)
−0.490696 + 0.871331i \(0.663257\pi\)
\(44\) 11.3324 + 9.74480i 1.70842 + 1.46908i
\(45\) 3.38263 + 0.129924i 0.504253 + 0.0193679i
\(46\) −13.4943 2.98281i −1.98963 0.439791i
\(47\) −1.38812 4.63266i −0.202479 0.675743i −0.997597 0.0692880i \(-0.977927\pi\)
0.795118 0.606455i \(-0.207409\pi\)
\(48\) 9.96495 41.8906i 1.43832 6.04638i
\(49\) −3.57566 4.07835i −0.510808 0.582622i
\(50\) −12.0292 + 0.925421i −1.70118 + 0.130874i
\(51\) 6.94852 + 0.668942i 0.972987 + 0.0936705i
\(52\) −2.12599 31.5973i −0.294822 4.38176i
\(53\) 3.74889 3.43829i 0.514949 0.472285i −0.375851 0.926680i \(-0.622650\pi\)
0.890800 + 0.454395i \(0.150145\pi\)
\(54\) 9.36355 + 2.77307i 1.27422 + 0.377366i
\(55\) −1.27286 + 1.67634i −0.171632 + 0.226037i
\(56\) 6.06932 + 34.1369i 0.811047 + 4.56174i
\(57\) 8.03457 + 18.6749i 1.06421 + 2.47355i
\(58\) −3.71438 4.95732i −0.487722 0.650928i
\(59\) −7.36887 0.566898i −0.959345 0.0738038i −0.412427 0.910990i \(-0.635319\pi\)
−0.546917 + 0.837187i \(0.684199\pi\)
\(60\) 11.6566 + 2.03402i 1.50486 + 0.262591i
\(61\) 1.51279 + 1.28412i 0.193693 + 0.164414i 0.738738 0.673993i \(-0.235422\pi\)
−0.545045 + 0.838407i \(0.683487\pi\)
\(62\) 20.7564 5.71616i 2.63607 0.725953i
\(63\) −15.0873 + 1.84323i −1.90082 + 0.232225i
\(64\) 12.4509 32.3018i 1.55636 4.03772i
\(65\) 4.42338 0.569157i 0.548653 0.0705953i
\(66\) −15.6179 + 12.4198i −1.92242 + 1.52878i
\(67\) 3.66159 3.14863i 0.447335 0.384666i −0.399317 0.916813i \(-0.630753\pi\)
0.846652 + 0.532146i \(0.178614\pi\)
\(68\) 14.0098 + 3.28535i 1.69894 + 0.398407i
\(69\) 5.36650 12.4734i 0.646050 1.50163i
\(70\) −7.40266 + 1.78599i −0.884787 + 0.213467i
\(71\) 5.78715 4.72427i 0.686809 0.560668i −0.223446 0.974716i \(-0.571731\pi\)
0.910255 + 0.414048i \(0.135886\pi\)
\(72\) 38.6920 + 17.3852i 4.55990 + 2.04887i
\(73\) −8.05663 5.75949i −0.942957 0.674098i 0.00244755 0.999997i \(-0.499221\pi\)
−0.945404 + 0.325899i \(0.894333\pi\)
\(74\) 0.225059 2.80796i 0.0261626 0.326419i
\(75\) 1.32455 11.7799i 0.152946 1.36023i
\(76\) 11.2561 + 40.3681i 1.29117 + 4.63054i
\(77\) 4.44340 8.34109i 0.506373 0.950555i
\(78\) 41.9683 + 5.12732i 4.75197 + 0.580554i
\(79\) 11.4896 1.70315i 1.29268 0.191619i 0.535338 0.844638i \(-0.320184\pi\)
0.757341 + 0.653019i \(0.226498\pi\)
\(80\) 11.9154 + 3.77903i 1.33218 + 0.422509i
\(81\) 1.53317 2.96899i 0.170353 0.329888i
\(82\) −7.40710 + 16.9175i −0.817978 + 1.86822i
\(83\) −0.599116 + 0.185803i −0.0657615 + 0.0203945i −0.328916 0.944359i \(-0.606683\pi\)
0.263154 + 0.964754i \(0.415237\pi\)
\(84\) −53.1255 0.679869i −5.79647 0.0741798i
\(85\) −0.341962 + 1.99744i −0.0370910 + 0.216653i
\(86\) −14.2695 + 4.52567i −1.53872 + 0.488016i
\(87\) 5.46908 2.67082i 0.586347 0.286342i
\(88\) −22.6565 + 13.5029i −2.41519 + 1.43942i
\(89\) −13.5373 8.91280i −1.43495 0.944755i −0.998997 0.0447851i \(-0.985740\pi\)
−0.435952 0.899970i \(-0.643588\pi\)
\(90\) −3.29504 + 8.71417i −0.347328 + 0.918554i
\(91\) −19.2007 + 5.68639i −2.01278 + 0.596096i
\(92\) 14.4073 23.9990i 1.50206 2.50207i
\(93\) 1.69004 + 21.0858i 0.175249 + 2.18650i
\(94\) 13.3029 + 0.425730i 1.37209 + 0.0439107i
\(95\) −5.57817 + 1.92760i −0.572308 + 0.197767i
\(96\) 55.4465 + 34.5044i 5.65898 + 3.52160i
\(97\) −16.1156 + 0.825630i −1.63630 + 0.0838300i −0.847489 0.530812i \(-0.821887\pi\)
−0.788806 + 0.614642i \(0.789300\pi\)
\(98\) 13.7680 5.76750i 1.39078 0.582605i
\(99\) −5.37069 10.2391i −0.539775 1.02907i
\(100\) 5.95883 23.6985i 0.595883 2.36985i
\(101\) 6.08016 + 4.40562i 0.604998 + 0.438375i 0.846771 0.531958i \(-0.178544\pi\)
−0.241773 + 0.970333i \(0.577729\pi\)
\(102\) −7.81783 + 17.5491i −0.774081 + 1.73762i
\(103\) −10.7574 4.18609i −1.05996 0.412468i −0.231688 0.972790i \(-0.574425\pi\)
−0.828275 + 0.560322i \(0.810677\pi\)
\(104\) 54.0651 + 14.1474i 5.30152 + 1.38726i
\(105\) −0.358914 7.47356i −0.0350265 0.729345i
\(106\) 5.69691 + 12.7881i 0.553333 + 1.24209i
\(107\) 3.79480 17.9851i 0.366857 1.73869i −0.265592 0.964085i \(-0.585567\pi\)
0.632449 0.774602i \(-0.282050\pi\)
\(108\) −11.3479 + 16.2003i −1.09195 + 1.55888i
\(109\) −5.85249 6.93958i −0.560566 0.664691i 0.408135 0.912922i \(-0.366179\pi\)
−0.968701 + 0.248231i \(0.920151\pi\)
\(110\) −3.26245 4.78670i −0.311062 0.456394i
\(111\) 2.66847 + 0.734876i 0.253280 + 0.0697514i
\(112\) −55.5205 8.23001i −5.24619 0.777663i
\(113\) −9.35366 4.56785i −0.879918 0.429707i −0.0573370 0.998355i \(-0.518261\pi\)
−0.822581 + 0.568648i \(0.807467\pi\)
\(114\) −55.7572 + 4.64854i −5.22214 + 0.435375i
\(115\) 3.49675 + 1.81990i 0.326073 + 0.169706i
\(116\) 11.9099 3.94572i 1.10580 0.366351i
\(117\) −7.48103 + 23.3286i −0.691622 + 2.15673i
\(118\) 7.91886 18.7352i 0.728990 1.72472i
\(119\) 0.0873278 9.09870i 0.00800533 0.834077i
\(120\) −9.93522 + 18.3661i −0.906958 + 1.67659i
\(121\) −3.77965 0.486328i −0.343604 0.0442117i
\(122\) −4.67315 + 2.82580i −0.423087 + 0.255836i
\(123\) −14.9615 10.2675i −1.34903 0.925786i
\(124\) −2.37037 + 43.5412i −0.212866 + 3.91012i
\(125\) 7.23990 + 1.35901i 0.647556 + 0.121554i
\(126\) 8.37399 40.9842i 0.746014 3.65116i
\(127\) −4.44742 10.7128i −0.394644 0.950605i −0.989203 0.146552i \(-0.953182\pi\)
0.594559 0.804052i \(-0.297327\pi\)
\(128\) 36.1972 + 29.9371i 3.19941 + 2.64609i
\(129\) −1.73701 14.6059i −0.152935 1.28597i
\(130\) −2.38011 + 12.0411i −0.208750 + 1.05608i
\(131\) 12.3983 + 6.35228i 1.08325 + 0.555001i 0.903446 0.428702i \(-0.141029\pi\)
0.179801 + 0.983703i \(0.442455\pi\)
\(132\) −13.8095 37.9833i −1.20196 3.30602i
\(133\) 23.3481 12.5339i 2.02453 1.08682i
\(134\) 5.01727 + 12.3072i 0.433426 + 1.06318i
\(135\) −2.37433 1.45656i −0.204349 0.125360i
\(136\) −13.3477 + 21.6027i −1.14456 + 1.85242i
\(137\) −2.00675 3.54530i −0.171448 0.302895i 0.771256 0.636525i \(-0.219629\pi\)
−0.942704 + 0.333630i \(0.891727\pi\)
\(138\) 27.8625 + 24.9052i 2.37181 + 2.12007i
\(139\) −3.41389 + 6.50852i −0.289563 + 0.552046i −0.986236 0.165343i \(-0.947127\pi\)
0.696674 + 0.717388i \(0.254663\pi\)
\(140\) 1.33061 15.3662i 0.112457 1.29868i
\(141\) −2.86338 + 12.7602i −0.241140 + 1.07460i
\(142\) 7.27179 + 19.2312i 0.610235 + 1.61385i
\(143\) −9.21191 12.1319i −0.770339 1.01452i
\(144\) −46.5745 + 50.4568i −3.88121 + 4.20474i
\(145\) 0.656530 + 1.64039i 0.0545218 + 0.136227i
\(146\) 22.0711 15.9924i 1.82661 1.32354i
\(147\) 3.02796 + 14.3508i 0.249742 + 1.18363i
\(148\) 5.24826 + 2.23811i 0.431405 + 0.183972i
\(149\) −4.96021 19.2065i −0.406356 1.57346i −0.767565 0.640971i \(-0.778532\pi\)
0.361209 0.932485i \(-0.382364\pi\)
\(150\) 29.5847 + 13.7508i 2.41558 + 1.12275i
\(151\) −5.09674 + 1.83457i −0.414767 + 0.149295i −0.537732 0.843116i \(-0.680719\pi\)
0.122966 + 0.992411i \(0.460760\pi\)
\(152\) −73.8578 3.78385i −5.99066 0.306911i
\(153\) −9.13800 6.35744i −0.738764 0.513968i
\(154\) 17.8849 + 18.8850i 1.44121 + 1.52180i
\(155\) −6.14078 + 0.0392914i −0.493239 + 0.00315596i
\(156\) −36.8383 + 77.3073i −2.94942 + 6.18954i
\(157\) 8.65518 + 9.37666i 0.690759 + 0.748339i 0.977791 0.209582i \(-0.0672104\pi\)
−0.287032 + 0.957921i \(0.592669\pi\)
\(158\) −5.59566 + 31.4728i −0.445167 + 2.50385i
\(159\) −13.3921 + 3.14048i −1.06206 + 0.249056i
\(160\) −11.1729 + 15.3163i −0.883299 + 1.21086i
\(161\) −16.8017 5.56638i −1.32416 0.438692i
\(162\) 6.40843 + 6.59565i 0.503494 + 0.518203i
\(163\) 12.8418 3.27271i 1.00585 0.256338i 0.291834 0.956469i \(-0.405735\pi\)
0.714014 + 0.700131i \(0.246875\pi\)
\(164\) −27.7282 25.1061i −2.16521 1.96046i
\(165\) 5.22109 2.26612i 0.406462 0.176417i
\(166\) 0.0386564 1.72589i 0.00300032 0.133955i
\(167\) −1.51813 8.23275i −0.117477 0.637070i −0.989141 0.146967i \(-0.953049\pi\)
0.871665 0.490103i \(-0.163041\pi\)
\(168\) 30.9055 88.5175i 2.38441 6.82927i
\(169\) −2.76556 + 19.0773i −0.212735 + 1.46748i
\(170\) −4.91391 2.63792i −0.376880 0.202319i
\(171\) 3.41630 32.2394i 0.261251 2.46541i
\(172\) 0.484985 30.3168i 0.0369798 2.31163i
\(173\) 4.43482 0.832467i 0.337173 0.0632913i −0.0131685 0.999913i \(-0.504192\pi\)
0.350342 + 0.936622i \(0.386066\pi\)
\(174\) 2.19082 + 16.6067i 0.166085 + 1.25895i
\(175\) −15.4466 0.395418i −1.16765 0.0298908i
\(176\) −9.08170 41.7187i −0.684559 3.14467i
\(177\) 16.6214 + 11.0965i 1.24934 + 0.834063i
\(178\) 35.0896 27.5398i 2.63008 2.06419i
\(179\) 14.6491 + 7.03815i 1.09493 + 0.526056i 0.891494 0.453033i \(-0.149658\pi\)
0.203432 + 0.979089i \(0.434791\pi\)
\(180\) −14.6174 11.9328i −1.08952 0.889415i
\(181\) 1.21697 + 2.43253i 0.0904569 + 0.180808i 0.934970 0.354726i \(-0.115426\pi\)
−0.844513 + 0.535534i \(0.820110\pi\)
\(182\) 1.93903 55.0774i 0.143730 4.08261i
\(183\) −1.86565 5.03102i −0.137912 0.371903i
\(184\) 32.0863 + 37.5560i 2.36543 + 2.76867i
\(185\) −0.269709 + 0.756885i −0.0198294 + 0.0556473i
\(186\) −56.5048 14.0157i −4.14314 1.02768i
\(187\) 6.49749 2.38584i 0.475143 0.174470i
\(188\) −9.37306 + 25.2760i −0.683601 + 1.84344i
\(189\) 11.5665 + 4.75851i 0.841337 + 0.346130i
\(190\) −0.155887 16.2419i −0.0113092 1.17831i
\(191\) 20.9688 + 11.0844i 1.51725 + 0.802039i 0.998597 0.0529448i \(-0.0168607\pi\)
0.518655 + 0.854984i \(0.326433\pi\)
\(192\) −72.1367 + 59.6611i −5.20602 + 4.30567i
\(193\) 3.67291 + 3.50075i 0.264382 + 0.251990i 0.810528 0.585700i \(-0.199181\pi\)
−0.546146 + 0.837690i \(0.683906\pi\)
\(194\) 11.9283 42.7787i 0.856401 3.07133i
\(195\) −11.1821 4.51693i −0.800765 0.323464i
\(196\) 2.22264 + 30.1521i 0.158760 + 2.15372i
\(197\) −1.46038 + 0.392143i −0.104048 + 0.0279390i −0.310981 0.950416i \(-0.600658\pi\)
0.206934 + 0.978355i \(0.433652\pi\)
\(198\) 31.4144 5.06832i 2.23253 0.360190i
\(199\) −13.8827 + 21.5330i −0.984119 + 1.52643i −0.140088 + 0.990139i \(0.544738\pi\)
−0.844031 + 0.536294i \(0.819824\pi\)
\(200\) 36.3173 + 23.2503i 2.56802 + 1.64404i
\(201\) −12.8026 + 2.57323i −0.903028 + 0.181501i
\(202\) −16.8106 + 12.0175i −1.18279 + 0.845551i
\(203\) −4.08339 6.80192i −0.286598 0.477401i
\(204\) −28.6771 26.3012i −2.00780 1.84145i
\(205\) 3.29191 4.11248i 0.229917 0.287228i
\(206\) 20.3251 24.4158i 1.41612 1.70113i
\(207\) −17.2039 + 13.1501i −1.19575 + 0.913993i
\(208\) −49.5062 + 75.7191i −3.43263 + 5.25018i
\(209\) 15.1999 + 13.2406i 1.05140 + 0.915874i
\(210\) 19.8175 + 5.59425i 1.36754 + 0.386040i
\(211\) 0.437191 + 2.65574i 0.0300975 + 0.182828i 0.997524 0.0703224i \(-0.0224028\pi\)
−0.967427 + 0.253151i \(0.918533\pi\)
\(212\) −28.2248 + 2.71723i −1.93849 + 0.186620i
\(213\) −19.9006 + 3.47256i −1.36357 + 0.237936i
\(214\) 43.6198 + 25.6200i 2.98179 + 1.75134i
\(215\) 4.26572 0.191183i 0.290920 0.0130386i
\(216\) −20.7505 28.0667i −1.41189 1.90970i
\(217\) 27.1924 4.56586i 1.84594 0.309950i
\(218\) 23.2246 9.20903i 1.57297 0.623714i
\(219\) 11.3653 + 24.2491i 0.767996 + 1.63860i
\(220\) 11.2915 3.18747i 0.761275 0.214899i
\(221\) −13.2599 6.26661i −0.891958 0.421537i
\(222\) −4.24971 + 6.32176i −0.285222 + 0.424289i
\(223\) −4.03592 + 5.45889i −0.270265 + 0.365555i −0.918184 0.396155i \(-0.870344\pi\)
0.647919 + 0.761709i \(0.275640\pi\)
\(224\) 38.5731 75.8839i 2.57727 5.07021i
\(225\) −11.0427 + 15.3430i −0.736180 + 1.02287i
\(226\) 20.0946 20.4187i 1.33667 1.35823i
\(227\) 10.8076 + 18.2667i 0.717328 + 1.21240i 0.969587 + 0.244745i \(0.0787043\pi\)
−0.252259 + 0.967660i \(0.581174\pi\)
\(228\) 26.9306 110.078i 1.78352 7.29006i
\(229\) 4.71727 21.6698i 0.311726 1.43198i −0.509055 0.860734i \(-0.670005\pi\)
0.820780 0.571244i \(-0.193539\pi\)
\(230\) −7.80510 + 7.53515i −0.514653 + 0.496853i
\(231\) −21.5231 + 13.7791i −1.41612 + 0.906596i
\(232\) −0.0708317 + 22.1405i −0.00465033 + 1.45360i
\(233\) 11.9250 7.31554i 0.781235 0.479257i −0.0741519 0.997247i \(-0.523625\pi\)
0.855387 + 0.517990i \(0.173319\pi\)
\(234\) −54.3435 39.9095i −3.55255 2.60896i
\(235\) −3.63318 1.10132i −0.237003 0.0718422i
\(236\) 30.8903 + 27.2581i 2.01079 + 1.77435i
\(237\) −29.3428 11.2027i −1.90602 0.727691i
\(238\) 23.6687 + 8.17897i 1.53421 + 0.530164i
\(239\) −13.3051 16.4054i −0.860635 1.06118i −0.997506 0.0705865i \(-0.977513\pi\)
0.136870 0.990589i \(-0.456296\pi\)
\(240\) −23.0855 24.6910i −1.49016 1.59380i
\(241\) −20.9312 0.133927i −1.34830 0.00862701i −0.669423 0.742881i \(-0.733459\pi\)
−0.678875 + 0.734254i \(0.737532\pi\)
\(242\) 4.57209 9.43881i 0.293905 0.606750i
\(243\) −16.4379 + 10.8226i −1.05449 + 0.694268i
\(244\) −2.42187 10.7926i −0.155044 0.690928i
\(245\) −4.21941 + 0.570380i −0.269568 + 0.0364402i
\(246\) 39.8695 30.0727i 2.54199 1.91737i
\(247\) −2.59466 42.6337i −0.165094 2.71272i
\(248\) −71.5322 28.3640i −4.54230 1.80111i
\(249\) 1.65853 + 0.355489i 0.105105 + 0.0225282i
\(250\) −9.87335 + 17.7065i −0.624446 + 1.11986i
\(251\) 5.88627 19.6446i 0.371538 1.23995i −0.544465 0.838784i \(-0.683267\pi\)
0.916003 0.401171i \(-0.131397\pi\)
\(252\) 73.3292 + 42.4410i 4.61931 + 2.67353i
\(253\) −0.559804 13.4525i −0.0351946 0.845753i
\(254\) 31.8437 2.24493i 1.99805 0.140859i
\(255\) 3.45178 4.25609i 0.216159 0.266527i
\(256\) −50.9751 + 31.7219i −3.18595 + 1.98262i
\(257\) 15.0878 10.4968i 0.941154 0.654774i 0.00263297 0.999997i \(-0.499162\pi\)
0.938521 + 0.345222i \(0.112197\pi\)
\(258\) 39.6350 + 8.23050i 2.46757 + 0.512409i
\(259\) 0.654251 3.54797i 0.0406532 0.220460i
\(260\) −21.5956 12.3152i −1.33930 0.763755i
\(261\) −9.68980 0.558607i −0.599784 0.0345769i
\(262\) −27.4121 + 26.8050i −1.69353 + 1.65602i
\(263\) −1.47029 6.00973i −0.0906619 0.370576i 0.908186 0.418567i \(-0.137468\pi\)
−0.998848 + 0.0479912i \(0.984718\pi\)
\(264\) 71.2978 1.82515i 4.38808 0.112330i
\(265\) −0.623416 3.94426i −0.0382961 0.242294i
\(266\) 12.3067 + 71.8847i 0.754571 + 4.40753i
\(267\) 20.1095 + 38.9422i 1.23068 + 2.38322i
\(268\) −26.8640 + 1.72121i −1.64098 + 0.105139i
\(269\) −4.01354 4.51914i −0.244710 0.275537i 0.612537 0.790442i \(-0.290149\pi\)
−0.857247 + 0.514905i \(0.827827\pi\)
\(270\) 5.87604 4.92347i 0.357604 0.299633i
\(271\) −9.57133 + 0.183745i −0.581417 + 0.0111617i −0.309073 0.951038i \(-0.600019\pi\)
−0.272344 + 0.962200i \(0.587799\pi\)
\(272\) −26.2997 31.5929i −1.59466 1.91560i
\(273\) 52.7977 + 12.0253i 3.19546 + 0.727807i
\(274\) 11.0058 2.13891i 0.664887 0.129217i
\(275\) −3.87450 11.0971i −0.233641 0.669180i
\(276\) −65.7521 + 37.4959i −3.95781 + 2.25699i
\(277\) 9.38746 4.65898i 0.564038 0.279931i −0.139932 0.990161i \(-0.544688\pi\)
0.703969 + 0.710230i \(0.251409\pi\)
\(278\) −14.0021 14.5969i −0.839789 0.875462i
\(279\) 14.1203 30.6356i 0.845358 1.83411i
\(280\) 24.9678 + 10.8368i 1.49211 + 0.647621i
\(281\) 1.27659 + 2.81699i 0.0761548 + 0.168047i 0.945030 0.326984i \(-0.106032\pi\)
−0.868875 + 0.495031i \(0.835157\pi\)
\(282\) −30.7982 18.6233i −1.83400 1.10900i
\(283\) −14.9972 11.9263i −0.891494 0.708945i 0.0658708 0.997828i \(-0.479017\pi\)
−0.957364 + 0.288883i \(0.906716\pi\)
\(284\) −41.6123 + 1.59829i −2.46924 + 0.0948409i
\(285\) 15.7038 + 2.84388i 0.930211 + 0.168457i
\(286\) 39.7109 13.4387i 2.34815 0.794648i
\(287\) −11.6511 + 20.5838i −0.687742 + 1.21503i
\(288\) −50.1360 91.2800i −2.95429 5.37873i
\(289\) −6.96180 + 7.63962i −0.409518 + 0.449390i
\(290\) −4.85468 + 0.279867i −0.285076 + 0.0164344i
\(291\) 39.0866 + 19.3986i 2.29130 + 1.13717i
\(292\) 16.5209 + 52.6750i 0.966813 + 3.08257i
\(293\) −18.6102 + 4.86979i −1.08722 + 0.284496i −0.753015 0.658004i \(-0.771401\pi\)
−0.334207 + 0.942500i \(0.608468\pi\)
\(294\) −40.0974 4.63856i −2.33853 0.270526i
\(295\) −3.56735 + 4.57538i −0.207699 + 0.266389i
\(296\) −6.68594 + 7.52819i −0.388613 + 0.437567i
\(297\) −0.273897 + 9.51014i −0.0158931 + 0.551834i
\(298\) 54.4580 + 3.83920i 3.15466 + 0.222399i
\(299\) −19.4840 + 20.8391i −1.12679 + 1.20515i
\(300\) −45.4365 + 47.9774i −2.62328 + 2.76997i
\(301\) −18.7721 + 3.89817i −1.08201 + 0.224687i
\(302\) −0.333824 14.9042i −0.0192094 0.857640i
\(303\) −8.49892 18.4395i −0.488250 1.05932i
\(304\) 43.7715 111.428i 2.51047 6.39084i
\(305\) 1.49638 0.432767i 0.0856826 0.0247802i
\(306\) 24.5765 18.2920i 1.40494 1.04568i
\(307\) 8.64382 8.56126i 0.493329 0.488617i −0.413271 0.910608i \(-0.635614\pi\)
0.906600 + 0.421991i \(0.138669\pi\)
\(308\) −47.7729 + 22.2046i −2.72211 + 1.26522i
\(309\) 19.8165 + 24.1170i 1.12732 + 1.37197i
\(310\) 5.26369 16.0600i 0.298958 0.912147i
\(311\) −14.0217 + 9.36091i −0.795099 + 0.530808i −0.885248 0.465120i \(-0.846011\pi\)
0.0901486 + 0.995928i \(0.471266\pi\)
\(312\) −108.722 104.962i −6.15516 5.94228i
\(313\) −8.87133 1.78306i −0.501437 0.100785i −0.0602201 0.998185i \(-0.519180\pi\)
−0.441217 + 0.897400i \(0.645453\pi\)
\(314\) −32.0339 + 14.3936i −1.80778 + 0.812277i
\(315\) −5.33852 + 10.6708i −0.300792 + 0.601233i
\(316\) −56.8484 30.9879i −3.19797 1.74321i
\(317\) 12.0160 6.05964i 0.674886 0.340344i −0.0794437 0.996839i \(-0.525314\pi\)
0.754330 + 0.656496i \(0.227962\pi\)
\(318\) 3.50716 37.6938i 0.196672 2.11377i
\(319\) 3.74114 4.73548i 0.209464 0.265136i
\(320\) −15.7334 22.1581i −0.879525 1.23867i
\(321\) −32.7675 + 37.3742i −1.82890 + 2.08602i
\(322\) 29.2091 38.9834i 1.62776 2.17246i
\(323\) 18.8667 + 4.55185i 1.04977 + 0.253272i
\(324\) −16.7891 + 8.06630i −0.932726 + 0.448128i
\(325\) −11.0004 + 22.3442i −0.610194 + 1.23943i
\(326\) −2.68123 + 36.3734i −0.148500 + 2.01453i
\(327\) 4.60597 + 24.1118i 0.254711 + 1.33339i
\(328\) 57.5487 32.3317i 3.17760 1.78522i
\(329\) 16.8926 + 2.28354i 0.931319 + 0.125896i
\(330\) 1.35136 + 15.6058i 0.0743900 + 0.859073i
\(331\) −8.00708 3.35422i −0.440109 0.184365i 0.155163 0.987889i \(-0.450410\pi\)
−0.595272 + 0.803524i \(0.702956\pi\)
\(332\) 3.28990 + 1.18420i 0.180557 + 0.0649913i
\(333\) −3.13596 3.10601i −0.171850 0.170208i
\(334\) 22.8118 + 3.23245i 1.24820 + 0.176872i
\(335\) −0.471765 3.76150i −0.0257753 0.205513i
\(336\) 119.990 + 92.9389i 6.54601 + 5.07023i
\(337\) −5.98579 + 9.55053i −0.326067 + 0.520251i −0.969449 0.245295i \(-0.921115\pi\)
0.643382 + 0.765545i \(0.277531\pi\)
\(338\) −47.3695 23.8883i −2.57656 1.29935i
\(339\) 16.0014 + 23.1577i 0.869077 + 1.25775i
\(340\) 8.22666 7.74121i 0.446153 0.419826i
\(341\) 10.5648 + 18.1198i 0.572114 + 0.981241i
\(342\) 81.1501 + 37.0885i 4.38809 + 2.00552i
\(343\) −5.31659 + 1.61161i −0.287069 + 0.0870187i
\(344\) 50.4593 + 17.7990i 2.72059 + 0.959657i
\(345\) −5.83323 8.92186i −0.314051 0.480337i
\(346\) −1.70295 + 12.3011i −0.0915510 + 0.661310i
\(347\) 24.4385 + 10.7934i 1.31193 + 0.579420i 0.937548 0.347856i \(-0.113090\pi\)
0.374379 + 0.927276i \(0.377856\pi\)
\(348\) −33.3039 6.47240i −1.78528 0.346957i
\(349\) −1.71968 11.8626i −0.0920521 0.634992i −0.983370 0.181613i \(-0.941868\pi\)
0.891318 0.453379i \(-0.149781\pi\)
\(350\) 14.5302 39.9656i 0.776673 2.13625i
\(351\) 14.7693 13.7207i 0.788328 0.732356i
\(352\) 64.3716 + 7.02957i 3.43102 + 0.374678i
\(353\) 12.4622 + 12.5021i 0.663297 + 0.665422i 0.956871 0.290514i \(-0.0938264\pi\)
−0.293574 + 0.955936i \(0.594845\pi\)
\(354\) −43.4836 + 33.6803i −2.31113 + 1.79009i
\(355\) −0.580656 5.83568i −0.0308180 0.309726i
\(356\) 30.3263 + 85.1050i 1.60729 + 4.51055i
\(357\) −12.2570 + 21.3348i −0.648711 + 1.12916i
\(358\) −31.1689 + 32.0795i −1.64733 + 1.69546i
\(359\) −4.55127 + 2.36873i −0.240207 + 0.125017i −0.577522 0.816375i \(-0.695980\pi\)
0.337315 + 0.941392i \(0.390481\pi\)
\(360\) 28.1584 17.7740i 1.48408 0.936772i
\(361\) 9.84680 + 36.2076i 0.518252 + 1.90567i
\(362\) −7.41167 + 1.05024i −0.389549 + 0.0551995i
\(363\) 8.26648 + 6.15265i 0.433878 + 0.322930i
\(364\) 104.535 + 39.1456i 5.47914 + 2.05179i
\(365\) −7.26308 + 2.77294i −0.380167 + 0.145142i
\(366\) 14.7598 0.472355i 0.771509 0.0246904i
\(367\) −2.77602 24.6886i −0.144907 1.28873i −0.828963 0.559304i \(-0.811069\pi\)
0.684056 0.729430i \(-0.260215\pi\)
\(368\) −74.1417 + 29.9491i −3.86490 + 1.56120i
\(369\) 12.7811 + 25.9611i 0.665356 + 1.35148i
\(370\) −1.73956 1.36528i −0.0904355 0.0709775i
\(371\) 5.58425 + 17.0381i 0.289920 + 0.884572i
\(372\) 63.2582 99.5100i 3.27979 5.15935i
\(373\) 0.707664 17.0057i 0.0366414 0.880522i −0.878586 0.477584i \(-0.841513\pi\)
0.915227 0.402938i \(-0.132011\pi\)
\(374\) 0.548405 + 19.0415i 0.0283574 + 0.984612i
\(375\) −15.2683 12.7931i −0.788449 0.660633i
\(376\) −37.0440 29.8475i −1.91040 1.53927i
\(377\) −12.7118 + 1.38816i −0.654689 + 0.0714941i
\(378\) −22.5259 + 26.0268i −1.15861 + 1.33868i
\(379\) −16.3773 5.07908i −0.841248 0.260895i −0.154684 0.987964i \(-0.549436\pi\)
−0.686564 + 0.727069i \(0.740882\pi\)
\(380\) 31.2946 + 10.1461i 1.60538 + 0.520484i
\(381\) −3.70408 + 31.1462i −0.189766 + 1.59567i
\(382\) −47.2511 + 45.0363i −2.41758 + 2.30426i
\(383\) 1.90562 + 3.57719i 0.0973724 + 0.182786i 0.926522 0.376241i \(-0.122784\pi\)
−0.829149 + 0.559027i \(0.811175\pi\)
\(384\) −45.6844 118.520i −2.33132 6.04822i
\(385\) −3.52994 6.52539i −0.179903 0.332564i
\(386\) −12.3456 + 6.52604i −0.628374 + 0.332167i
\(387\) −8.99352 + 21.6632i −0.457166 + 1.10120i
\(388\) 74.4899 + 50.4215i 3.78165 + 2.55976i
\(389\) 13.8460 + 5.08417i 0.702020 + 0.257778i 0.670697 0.741732i \(-0.265995\pi\)
0.0313234 + 0.999509i \(0.490028\pi\)
\(390\) 21.5596 25.2348i 1.09171 1.27781i
\(391\) −6.45762 11.2402i −0.326576 0.568442i
\(392\) −51.7010 13.1759i −2.61129 0.665482i
\(393\) −20.8158 31.3972i −1.05002 1.58378i
\(394\) 0.252801 4.15386i 0.0127359 0.209268i
\(395\) 3.86958 8.25616i 0.194700 0.415413i
\(396\) −10.4690 + 63.5945i −0.526088 + 3.19574i
\(397\) −2.08351 + 30.9659i −0.104568 + 1.55413i 0.573544 + 0.819175i \(0.305568\pi\)
−0.678112 + 0.734958i \(0.737202\pi\)
\(398\) −44.0633 55.0469i −2.20869 2.75925i
\(399\) −71.6447 1.37539i −3.58672 0.0688558i
\(400\) −54.3569 + 43.7970i −2.71784 + 2.18985i
\(401\) 10.3791 10.4124i 0.518308 0.519969i −0.399639 0.916673i \(-0.630864\pi\)
0.917947 + 0.396704i \(0.129846\pi\)
\(402\) 4.47244 35.6599i 0.223065 1.77855i
\(403\) 11.6628 42.8852i 0.580965 2.13627i
\(404\) −12.2697 40.0154i −0.610442 1.99084i
\(405\) −1.27749 2.29100i −0.0634791 0.113841i
\(406\) 21.3194 4.71249i 1.05806 0.233877i
\(407\) 2.70051 0.489050i 0.133859 0.0242413i
\(408\) 60.0802 33.2500i 2.97441 1.64612i
\(409\) 9.22134 + 10.2501i 0.455966 + 0.506836i 0.926888 0.375339i \(-0.122474\pi\)
−0.470922 + 0.882175i \(0.656079\pi\)
\(410\) 7.85569 + 12.1847i 0.387965 + 0.601759i
\(411\) 0.0352424 + 11.0161i 0.00173838 + 0.543382i
\(412\) 33.8217 + 54.7389i 1.66627 + 2.69679i
\(413\) 12.5410 22.8327i 0.617102 1.12353i
\(414\) −19.2840 56.3886i −0.947756 2.77135i
\(415\) −0.138316 + 0.472585i −0.00678965 + 0.0231983i
\(416\) −85.0554 107.662i −4.17018 5.27855i
\(417\) 16.6688 10.8223i 0.816276 0.529972i
\(418\) −47.8370 + 28.0969i −2.33978 + 1.37426i
\(419\) −11.1128 + 9.43295i −0.542895 + 0.460830i −0.876172 0.481999i \(-0.839911\pi\)
0.333277 + 0.942829i \(0.391846\pi\)
\(420\) −23.4894 + 34.4639i −1.14617 + 1.68167i
\(421\) −12.2131 + 1.25469i −0.595231 + 0.0611498i −0.395130 0.918625i \(-0.629300\pi\)
−0.200102 + 0.979775i \(0.564127\pi\)
\(422\) −7.31275 1.17982i −0.355979 0.0574327i
\(423\) 13.9478 15.5039i 0.678164 0.753824i
\(424\) 11.2683 48.7530i 0.547237 2.36765i
\(425\) −8.24155 7.75522i −0.399774 0.376183i
\(426\) 8.32814 54.9695i 0.403500 2.66328i
\(427\) −6.32358 + 2.98851i −0.306019 + 0.144624i
\(428\) −77.2588 + 67.3000i −3.73445 + 3.25307i
\(429\) 5.64866 + 40.8025i 0.272720 + 1.96996i
\(430\) −3.22874 + 11.2994i −0.155704 + 0.544904i
\(431\) −2.99414 15.1475i −0.144223 0.729629i −0.982775 0.184808i \(-0.940834\pi\)
0.838552 0.544821i \(-0.183403\pi\)
\(432\) 53.7487 17.4260i 2.58599 0.838409i
\(433\) 26.2482 0.335909i 1.26141 0.0161427i 0.620773 0.783990i \(-0.286819\pi\)
0.640633 + 0.767847i \(0.278672\pi\)
\(434\) −11.8470 + 74.9544i −0.568676 + 3.59793i
\(435\) 0.624901 4.73684i 0.0299617 0.227114i
\(436\) 2.75073 + 50.5280i 0.131736 + 2.41985i
\(437\) 19.6383 32.2432i 0.939425 1.54240i
\(438\) −73.2149 + 8.46968i −3.49835 + 0.404697i
\(439\) −24.4024 + 9.49583i −1.16466 + 0.453211i −0.865460 0.500978i \(-0.832974\pi\)
−0.299204 + 0.954189i \(0.596721\pi\)
\(440\) −0.993190 + 20.6809i −0.0473485 + 0.985923i
\(441\) 6.99945 22.3169i 0.333307 1.06271i
\(442\) 27.9415 29.1284i 1.32904 1.38550i
\(443\) 11.5710 + 29.4561i 0.549755 + 1.39950i 0.888611 + 0.458661i \(0.151671\pi\)
−0.338856 + 0.940838i \(0.610040\pi\)
\(444\) −9.40856 12.2277i −0.446510 0.580300i
\(445\) −11.7036 + 4.99098i −0.554804 + 0.236595i
\(446\) −10.7193 15.3029i −0.507573 0.724615i
\(447\) −13.7450 + 51.8495i −0.650116 + 2.45240i
\(448\) 85.5890 + 86.9692i 4.04370 + 4.10891i
\(449\) −17.2379 + 2.66806i −0.813505 + 0.125914i −0.546153 0.837685i \(-0.683908\pi\)
−0.267352 + 0.963599i \(0.586149\pi\)
\(450\) −30.3910 42.2260i −1.43264 1.99055i
\(451\) −17.7807 2.75208i −0.837260 0.129590i
\(452\) 26.2930 + 51.7256i 1.23672 + 2.43297i
\(453\) 14.4456 + 2.42554i 0.678712 + 0.113962i
\(454\) −57.1153 + 12.2421i −2.68056 + 0.574552i
\(455\) −4.60833 + 15.0292i −0.216042 + 0.704580i
\(456\) 169.110 + 106.745i 7.91930 + 4.99877i
\(457\) −6.59480 0.549815i −0.308492 0.0257193i −0.0721644 0.997393i \(-0.522991\pi\)
−0.236327 + 0.971673i \(0.575944\pi\)
\(458\) 52.4296 + 31.2472i 2.44987 + 1.46009i
\(459\) 3.99325 + 8.24382i 0.186389 + 0.384789i
\(460\) −9.45247 19.8366i −0.440724 0.924885i
\(461\) 11.5270 28.8011i 0.536865 1.34140i −0.373513 0.927625i \(-0.621847\pi\)
0.910378 0.413777i \(-0.135791\pi\)
\(462\) −17.1510 68.2103i −0.797938 3.17343i
\(463\) −11.7461 + 10.4993i −0.545886 + 0.487945i −0.893111 0.449836i \(-0.851482\pi\)
0.347225 + 0.937782i \(0.387124\pi\)
\(464\) −33.9497 11.4890i −1.57607 0.533366i
\(465\) 14.5291 + 8.04078i 0.673771 + 0.372882i
\(466\) 8.67056 + 37.5137i 0.401656 + 1.73779i
\(467\) −4.23192 + 7.25822i −0.195830 + 0.335870i −0.945320 0.326146i \(-0.894250\pi\)
0.749490 + 0.662016i \(0.230299\pi\)
\(468\) 111.600 78.7061i 5.15871 3.63819i
\(469\) 4.78132 + 16.3364i 0.220781 + 0.754344i
\(470\) 6.04905 8.51915i 0.279022 0.392959i
\(471\) −7.98551 33.5694i −0.367953 1.54680i
\(472\) −62.9215 + 36.4173i −2.89620 + 1.67624i
\(473\) −7.82424 12.3081i −0.359759 0.565928i
\(474\) 54.8775 66.7866i 2.52060 3.06761i
\(475\) 8.24120 31.9108i 0.378132 1.46417i
\(476\) −30.9304 + 40.1983i −1.41769 + 1.84249i
\(477\) 21.0720 + 6.09420i 0.964819 + 0.279034i
\(478\) 54.4402 20.3864i 2.49004 0.932450i
\(479\) 2.27676 2.00905i 0.104028 0.0917956i −0.608040 0.793906i \(-0.708044\pi\)
0.712068 + 0.702111i \(0.247759\pi\)
\(480\) 46.6269 21.3102i 2.12822 0.972671i
\(481\) −4.75216 3.35147i −0.216680 0.152814i
\(482\) 18.6406 54.5074i 0.849057 2.48274i
\(483\) 32.2379 + 35.3766i 1.46687 + 1.60969i
\(484\) 15.1879 + 14.8515i 0.690358 + 0.675069i
\(485\) −6.45039 + 10.9022i −0.292897 + 0.495045i
\(486\) −13.8792 52.3558i −0.629574 2.37491i
\(487\) 7.47438 8.86275i 0.338697 0.401609i −0.568249 0.822857i \(-0.692379\pi\)
0.906946 + 0.421247i \(0.138408\pi\)
\(488\) 19.4171 + 1.99477i 0.878970 + 0.0902991i
\(489\) −34.6096 9.29339i −1.56510 0.420262i
\(490\) 2.19868 11.5099i 0.0993264 0.519964i
\(491\) −8.62728 25.7644i −0.389344 1.16273i −0.943799 0.330520i \(-0.892776\pi\)
0.554455 0.832213i \(-0.312927\pi\)
\(492\) 32.1171 + 95.9141i 1.44795 + 4.32414i
\(493\) 1.09022 5.70721i 0.0491012 0.257040i
\(494\) 113.529 + 30.4849i 5.10792 + 1.37158i
\(495\) −9.02891 0.927566i −0.405819 0.0416910i
\(496\) 80.3071 95.2241i 3.60589 4.27569i
\(497\) 6.74739 + 25.4528i 0.302662 + 1.14172i
\(498\) −2.37706 + 4.01763i −0.106519 + 0.180034i
\(499\) 28.6094 + 27.9758i 1.28073 + 1.25237i 0.951327 + 0.308182i \(0.0997206\pi\)
0.329407 + 0.944188i \(0.393151\pi\)
\(500\) −27.6575 30.3503i −1.23688 1.35731i
\(501\) −7.32518 + 21.4197i −0.327265 + 0.956961i
\(502\) 46.1229 + 32.5283i 2.05856 + 1.45181i
\(503\) −3.33282 + 1.52322i −0.148603 + 0.0679170i −0.488592 0.872513i \(-0.662489\pi\)
0.339989 + 0.940430i \(0.389577\pi\)
\(504\) −112.108 + 98.9257i −4.99368 + 4.40650i
\(505\) 5.51992 2.06706i 0.245633 0.0919829i
\(506\) 35.5964 + 10.2948i 1.58245 + 0.457660i
\(507\) 31.7876 41.3122i 1.41174 1.83474i
\(508\) −16.1677 + 62.6031i −0.717327 + 2.77757i
\(509\) 17.2339 20.9739i 0.763881 0.929654i −0.235225 0.971941i \(-0.575583\pi\)
0.999105 + 0.0422874i \(0.0134645\pi\)
\(510\) 8.09077 + 12.7274i 0.358265 + 0.563579i
\(511\) 30.2123 17.4861i 1.33651 0.773538i
\(512\) −16.4983 69.3554i −0.729129 3.06511i
\(513\) −15.4447 + 21.7515i −0.681901 + 0.960352i
\(514\) 14.2089 + 48.5478i 0.626728 + 2.14135i
\(515\) −7.40520 + 5.22253i −0.326312 + 0.230132i
\(516\) −41.2977 + 70.8303i −1.81803 + 3.11813i
\(517\) 2.92009 + 12.6340i 0.128425 + 0.555641i
\(518\) 8.68744 + 4.80786i 0.381704 + 0.211245i
\(519\) −11.5578 3.91132i −0.507331 0.171688i
\(520\) 32.7085 29.2368i 1.43436 1.28212i
\(521\) −8.47477 33.7045i −0.371286 1.47662i −0.814479 0.580193i \(-0.802977\pi\)
0.443192 0.896427i \(-0.353846\pi\)
\(522\) 9.92541 24.7994i 0.434423 1.08544i
\(523\) −1.37621 2.88805i −0.0601773 0.126286i 0.870446 0.492263i \(-0.163830\pi\)
−0.930624 + 0.365978i \(0.880735\pi\)
\(524\) −33.8527 69.8869i −1.47886 3.05302i
\(525\) 35.8920 + 21.3911i 1.56646 + 0.933584i
\(526\) 16.9685 + 1.41468i 0.739862 + 0.0616830i
\(527\) 17.0768 + 10.7791i 0.743879 + 0.469547i
\(528\) −33.8457 + 110.382i −1.47295 + 4.80374i
\(529\) −2.16695 + 0.464466i −0.0942153 + 0.0201942i
\(530\) 10.8382 + 1.81983i 0.470780 + 0.0790482i
\(531\) −14.4414 28.4102i −0.626704 1.23290i
\(532\) −145.977 22.5942i −6.32892 0.979584i
\(533\) 22.2701 + 30.9427i 0.964626 + 1.34028i
\(534\) −119.201 + 18.4498i −5.15833 + 0.798402i
\(535\) −10.1212 10.2844i −0.437576 0.444632i
\(536\) 12.1725 45.9178i 0.525773 1.98335i
\(537\) −25.2137 35.9952i −1.08805 1.55331i
\(538\) 15.3010 6.52506i 0.659671 0.281316i
\(539\) 8.86848 + 11.5258i 0.381993 + 0.496451i
\(540\) 5.67706 + 14.4520i 0.244302 + 0.621914i
\(541\) 15.6001 16.2627i 0.670699 0.699189i −0.295976 0.955195i \(-0.595645\pi\)
0.966675 + 0.256006i \(0.0824067\pi\)
\(542\) 7.88456 25.1390i 0.338671 1.07981i
\(543\) 0.352818 7.34662i 0.0151409 0.315274i
\(544\) 58.1007 22.6090i 2.49105 0.969353i
\(545\) −7.07908 + 0.818925i −0.303235 + 0.0350789i
\(546\) −77.5209 + 127.278i −3.31759 + 5.44701i
\(547\) 0.618785 + 11.3664i 0.0264574 + 0.485994i 0.981731 + 0.190272i \(0.0609369\pi\)
−0.955274 + 0.295722i \(0.904440\pi\)
\(548\) −2.97007 + 22.5135i −0.126875 + 0.961730i
\(549\) −1.33587 + 8.45184i −0.0570135 + 0.360716i
\(550\) 32.3460 0.413945i 1.37924 0.0176507i
\(551\) 16.0969 5.21883i 0.685753 0.222330i
\(552\) −25.9016 131.037i −1.10244 5.57732i
\(553\) −11.2483 + 39.3649i −0.478328 + 1.67397i
\(554\) 3.95519 + 28.5699i 0.168040 + 1.21382i
\(555\) 1.63833 1.42715i 0.0695434 0.0605791i
\(556\) 37.0399 17.5050i 1.57084 0.742377i
\(557\) 1.49912 9.89489i 0.0635199 0.419260i −0.934478 0.356020i \(-0.884134\pi\)
0.997998 0.0632402i \(-0.0201434\pi\)
\(558\) 67.6110 + 63.6213i 2.86220 + 2.69331i
\(559\) −6.95910 + 30.1090i −0.294339 + 1.27347i
\(560\) −29.4682 + 32.7558i −1.24526 + 1.38419i
\(561\) −18.4780 2.98119i −0.780143 0.125866i
\(562\) −8.46710 + 0.869849i −0.357163 + 0.0366924i
\(563\) −12.3909 + 18.1800i −0.522212 + 0.766196i −0.993259 0.115913i \(-0.963021\pi\)
0.471047 + 0.882108i \(0.343876\pi\)
\(564\) 55.5751 47.1742i 2.34013 1.98639i
\(565\) −7.04604 + 4.13846i −0.296429 + 0.174107i
\(566\) 44.2298 28.7165i 1.85912 1.20704i
\(567\) 7.30125 + 9.24181i 0.306624 + 0.388119i
\(568\) 20.6421 70.5282i 0.866124 2.95930i
\(569\) −0.146420 0.428149i −0.00613824 0.0179489i 0.943088 0.332544i \(-0.107907\pi\)
−0.949226 + 0.314595i \(0.898131\pi\)
\(570\) −21.1447 + 38.4971i −0.885656 + 1.61247i
\(571\) −2.19792 3.55724i −0.0919803 0.148866i 0.801459 0.598049i \(-0.204057\pi\)
−0.893440 + 0.449183i \(0.851715\pi\)
\(572\) 0.271649 + 84.9119i 0.0113582 + 3.55034i
\(573\) −34.7534 53.9048i −1.45184 2.25191i
\(574\) −43.5364 48.3936i −1.81717 2.01991i
\(575\) −19.2605 + 10.6593i −0.803219 + 0.444523i
\(576\) 146.892 26.6015i 6.12051 1.10840i
\(577\) 25.2237 5.57549i 1.05007 0.232111i 0.343063 0.939312i \(-0.388536\pi\)
0.707012 + 0.707202i \(0.250043\pi\)
\(578\) −13.8535 24.8443i −0.576231 1.03339i
\(579\) −4.02226 13.1179i −0.167159 0.545159i
\(580\) 2.58463 9.50393i 0.107321 0.394629i
\(581\) 0.275141 2.19377i 0.0114148 0.0910129i
\(582\) −84.7813 + 85.0529i −3.51430 + 3.52556i
\(583\) −10.6207 + 8.55739i −0.439863 + 0.354411i
\(584\) −97.4017 1.86986i −4.03051 0.0773754i
\(585\) 12.0183 + 15.0141i 0.496895 + 0.620755i
\(586\) 3.55414 52.8229i 0.146820 2.18209i
\(587\) 3.64413 22.1364i 0.150409 0.913669i −0.799391 0.600812i \(-0.794844\pi\)
0.949800 0.312857i \(-0.101286\pi\)
\(588\) 34.6963 74.0283i 1.43085 3.05288i
\(589\) −3.57267 + 58.7037i −0.147209 + 2.41885i
\(590\) −8.82303 13.3080i −0.363238 0.547883i
\(591\) 3.96228 + 1.00978i 0.162986 + 0.0415367i
\(592\) −8.11930 14.1326i −0.333701 0.580845i
\(593\) 14.5680 17.0514i 0.598235 0.700216i −0.375778 0.926710i \(-0.622624\pi\)
0.974013 + 0.226494i \(0.0727262\pi\)
\(594\) −24.5794 9.02540i −1.00850 0.370317i
\(595\) −5.91520 4.00394i −0.242500 0.164146i
\(596\) −42.3967 + 102.123i −1.73663 + 4.18314i
\(597\) 61.2491 32.3771i 2.50676 1.32511i
\(598\) −37.3575 69.0584i −1.52766 2.82401i
\(599\) 2.54165 + 6.59389i 0.103849 + 0.269419i 0.975232 0.221184i \(-0.0709923\pi\)
−0.871383 + 0.490603i \(0.836776\pi\)
\(600\) −54.8242 102.915i −2.23819 4.20149i
\(601\) 20.0602 19.1199i 0.818272 0.779917i −0.160028 0.987112i \(-0.551158\pi\)
0.978300 + 0.207195i \(0.0664334\pi\)
\(602\) 6.23126 52.3963i 0.253967 2.13552i
\(603\) 19.8094 + 6.42245i 0.806701 + 0.261542i
\(604\) 28.8398 + 8.94405i 1.17348 + 0.363928i
\(605\) −1.95772 + 2.26198i −0.0795925 + 0.0919627i
\(606\) 55.5487 6.06608i 2.25651 0.246418i
\(607\) −22.9625 18.5016i −0.932020 0.750958i 0.0366448 0.999328i \(-0.488333\pi\)
−0.968665 + 0.248371i \(0.920105\pi\)
\(608\) 139.172 + 116.611i 5.64418 + 4.72920i
\(609\) 0.617603 + 21.4441i 0.0250265 + 0.868960i
\(610\) −0.178243 + 4.28331i −0.00721683 + 0.173426i
\(611\) 14.7399 23.1870i 0.596312 0.938045i
\(612\) 19.3262 + 58.9659i 0.781213 + 2.38355i
\(613\) −33.0638 25.9498i −1.33544 1.04810i −0.994135 0.108150i \(-0.965507\pi\)
−0.341301 0.939954i \(-0.610868\pi\)
\(614\) 14.7889 + 30.0393i 0.596830 + 1.21229i
\(615\) −13.2077 + 5.33517i −0.532586 + 0.215135i
\(616\) −10.3877 92.3835i −0.418534 3.72224i
\(617\) 30.8414 0.987009i 1.24163 0.0397355i 0.595747 0.803172i \(-0.296856\pi\)
0.645883 + 0.763437i \(0.276489\pi\)
\(618\) −80.2554 + 30.6403i −3.22835 + 1.23254i
\(619\) −19.2841 7.22136i −0.775093 0.290251i −0.0682939 0.997665i \(-0.521756\pi\)
−0.706799 + 0.707414i \(0.749861\pi\)
\(620\) 27.4598 + 20.4380i 1.10281 + 0.820811i
\(621\) 17.6421 2.49990i 0.707952 0.100317i
\(622\) −12.1761 44.7729i −0.488219 1.79523i
\(623\) 48.3097 30.4938i 1.93549 1.22171i
\(624\) 217.001 112.939i 8.68701 4.52119i
\(625\) −11.2445 + 11.5730i −0.449781 + 0.462922i
\(626\) 12.4057 21.5935i 0.495830 0.863048i
\(627\) −18.2971 51.3473i −0.730717 2.05061i
\(628\) −7.04282 70.7814i −0.281039 2.82449i
\(629\) 2.08897 1.61802i 0.0832928 0.0645146i
\(630\) −23.1826 23.2569i −0.923617 0.926577i
\(631\) 0.709733 + 0.0775050i 0.0282540 + 0.00308542i 0.122674 0.992447i \(-0.460853\pi\)
−0.0944197 + 0.995532i \(0.530100\pi\)
\(632\) 83.7081 77.7647i 3.32973 3.09331i
\(633\) 2.48681 6.84002i 0.0988419 0.271866i
\(634\) 5.31353 + 36.6536i 0.211027 + 1.45570i
\(635\) −8.93831 1.73710i −0.354706 0.0689348i
\(636\) 70.1397 + 30.9776i 2.78122 + 1.22834i
\(637\) 4.22561 30.5233i 0.167425 1.20938i
\(638\) 9.08898 + 13.9015i 0.359836 + 0.550366i
\(639\) 30.3802 + 10.7163i 1.20182 + 0.423929i
\(640\) 35.2887 10.6970i 1.39491 0.422836i
\(641\) −41.1230 18.7947i −1.62426 0.742346i −0.624995 0.780629i \(-0.714899\pi\)
−0.999267 + 0.0382827i \(0.987811\pi\)
\(642\) −68.9015 118.174i −2.71932 4.66395i
\(643\) −28.9301 + 27.2229i −1.14089 + 1.07357i −0.144428 + 0.989515i \(0.546134\pi\)
−0.996461 + 0.0840516i \(0.973214\pi\)
\(644\) 56.0869 + 81.1704i 2.21013 + 3.19856i
\(645\) −10.3098 5.19919i −0.405947 0.204718i
\(646\) −28.3661 + 45.2591i −1.11605 + 1.78069i
\(647\) 21.9347 + 16.9896i 0.862342 + 0.667930i 0.944436 0.328695i \(-0.106609\pi\)
−0.0820938 + 0.996625i \(0.526161\pi\)
\(648\) −4.09044 32.6141i −0.160688 1.28120i
\(649\) 19.6203 + 2.78021i 0.770163 + 0.109133i
\(650\) −48.6990 48.2338i −1.91013 1.89189i
\(651\) −70.1543 25.2520i −2.74956 0.989705i
\(652\) −68.1347 28.5421i −2.66836 1.11779i
\(653\) −1.06737 12.3263i −0.0417695 0.482365i −0.987523 0.157478i \(-0.949664\pi\)
0.945753 0.324887i \(-0.105326\pi\)
\(654\) −66.9499 9.05029i −2.61795 0.353894i
\(655\) 9.53426 5.35648i 0.372534 0.209295i
\(656\) 20.0495 + 104.957i 0.782800 + 4.09788i
\(657\) 3.13954 42.5908i 0.122485 1.66162i
\(658\) −20.7213 + 42.0893i −0.807800 + 1.64081i
\(659\) 9.43010 4.53068i 0.367345 0.176490i −0.240301 0.970698i \(-0.577246\pi\)
0.607646 + 0.794208i \(0.292114\pi\)
\(660\) −30.8418 7.44101i −1.20052 0.289641i
\(661\) 2.40680 3.21219i 0.0936138 0.124940i −0.751031 0.660267i \(-0.770443\pi\)
0.844645 + 0.535327i \(0.179812\pi\)
\(662\) 15.7507 17.9650i 0.612168 0.698231i
\(663\) 22.9605 + 32.3363i 0.891713 + 1.25584i
\(664\) −3.82503 + 4.84166i −0.148440 + 0.187893i
\(665\) 1.92721 20.7130i 0.0747339 0.803216i
\(666\) 10.8462 5.46972i 0.420282 0.211947i
\(667\) −9.92392 5.40951i −0.384256 0.209457i
\(668\) −20.8790 + 41.7337i −0.807833 + 1.61472i
\(669\) 16.7450 7.52395i 0.647401 0.290893i
\(670\) 10.2287 + 2.05588i 0.395169 + 0.0794257i
\(671\) −3.82775 3.69536i −0.147769 0.142658i
\(672\) −191.445 + 127.809i −7.38514 + 4.93032i
\(673\) 4.95421 15.1157i 0.190971 0.582669i −0.809016 0.587786i \(-0.800000\pi\)
0.999987 + 0.00511716i \(0.00162885\pi\)
\(674\) −19.6934 23.9671i −0.758560 0.923178i
\(675\) 14.1059 6.55633i 0.542936 0.252353i
\(676\) 76.3445 75.6153i 2.93633 2.90828i
\(677\) −15.6253 + 11.6297i −0.600528 + 0.446966i −0.853925 0.520397i \(-0.825784\pi\)
0.253397 + 0.967362i \(0.418452\pi\)
\(678\) −74.4180 + 21.5223i −2.85800 + 0.826561i
\(679\) 20.7960 52.9400i 0.798079 2.03165i
\(680\) 8.34424 + 18.1039i 0.319987 + 0.694251i
\(681\) −1.28517 57.3789i −0.0492479 2.19876i
\(682\) −56.5196 + 11.7367i −2.16425 + 0.449422i
\(683\) −29.9940 + 31.6713i −1.14769 + 1.21187i −0.173814 + 0.984778i \(0.555609\pi\)
−0.973874 + 0.227089i \(0.927079\pi\)
\(684\) −123.422 + 132.005i −4.71915 + 5.04735i
\(685\) −3.19009 0.224896i −0.121887 0.00859284i
\(686\) 0.440162 15.2831i 0.0168055 0.583511i
\(687\) −39.8225 + 44.8390i −1.51932 + 1.71072i
\(688\) −53.2581 + 68.3073i −2.03045 + 2.60419i
\(689\) 28.7082 + 3.32103i 1.09370 + 0.126521i
\(690\) 28.3810 7.42653i 1.08045 0.282723i
\(691\) 1.49729 + 4.77394i 0.0569596 + 0.181609i 0.978319 0.207102i \(-0.0664032\pi\)
−0.921360 + 0.388711i \(0.872920\pi\)
\(692\) −22.5304 11.1818i −0.856476 0.425067i
\(693\) 40.6862 2.34552i 1.54554 0.0890989i
\(694\) −49.5237 + 54.3454i −1.87989 + 2.06292i
\(695\) 2.77751 + 5.05688i 0.105357 + 0.191818i
\(696\) 29.4919 52.1030i 1.11789 1.97496i
\(697\) −16.4088 + 5.55295i −0.621526 + 0.210333i
\(698\) 32.4608 + 5.87851i 1.22866 + 0.222505i
\(699\) −37.8030 + 1.45197i −1.42984 + 0.0549187i
\(700\) 67.4137 + 53.6096i 2.54800 + 2.02625i
\(701\) 31.3277 + 18.9435i 1.18323 + 0.715486i 0.965470 0.260516i \(-0.0838927\pi\)
0.217760 + 0.976002i \(0.430125\pi\)
\(702\) 22.9006 + 50.5337i 0.864327 + 1.90727i
\(703\) 7.05904 + 3.06384i 0.266237 + 0.115555i
\(704\) −38.8537 + 84.2978i −1.46435 + 3.17709i
\(705\) 7.10663 + 7.40851i 0.267651 + 0.279021i
\(706\) −43.5173 + 21.5976i −1.63780 + 0.812835i
\(707\) −22.9901 + 13.1104i −0.864633 + 0.493068i
\(708\) −36.7216 105.176i −1.38008 3.95274i
\(709\) 12.5945 2.44766i 0.472997 0.0919239i 0.0513438 0.998681i \(-0.483650\pi\)
0.421653 + 0.906757i \(0.361450\pi\)
\(710\) 15.7369 + 3.58427i 0.590594 + 0.134515i
\(711\) 32.0449 + 38.4944i 1.20178 + 1.44365i
\(712\) −159.405 + 3.06016i −5.97394 + 0.114684i
\(713\) 30.1099 25.2288i 1.12763 0.944825i
\(714\) −44.9666 50.6311i −1.68283 1.89482i
\(715\) −11.9336 + 0.764596i −0.446290 + 0.0285943i
\(716\) −41.5669 80.4944i −1.55343 3.00822i
\(717\) 9.63833 + 56.2986i 0.359950 + 2.10251i
\(718\) −2.20449 13.9475i −0.0822708 0.520515i
\(719\) −34.0322 + 0.871192i −1.26919 + 0.0324900i −0.654367 0.756177i \(-0.727065\pi\)
−0.614821 + 0.788667i \(0.710772\pi\)
\(720\) 12.8099 + 52.3596i 0.477395 + 1.95133i
\(721\) 29.0904 28.4461i 1.08338 1.05939i
\(722\) −103.096 5.94339i −3.83685 0.221190i
\(723\) 49.1685 + 28.0390i 1.82860 + 1.04278i
\(724\) 2.74950 14.9104i 0.102184 0.554140i
\(725\) −9.66084 2.00614i −0.358795 0.0745063i
\(726\) −23.2805 + 16.1965i −0.864019 + 0.601110i
\(727\) 26.9465 16.7689i 0.999392 0.621924i 0.0725459 0.997365i \(-0.476888\pi\)
0.926846 + 0.375441i \(0.122509\pi\)
\(728\) −124.079 + 152.991i −4.59868 + 5.67024i
\(729\) 43.0877 3.03761i 1.59584 0.112504i
\(730\) −0.889599 21.3777i −0.0329255 0.791226i
\(731\) −12.1531 7.03388i −0.449498 0.260157i
\(732\) −8.58515 + 28.6517i −0.317316 + 1.05900i
\(733\) 24.3335 43.6388i 0.898780 1.61183i 0.112769 0.993621i \(-0.464028\pi\)
0.786011 0.618213i \(-0.212143\pi\)
\(734\) 66.8560 + 14.3299i 2.46770 + 0.528928i
\(735\) 10.7028 + 4.24389i 0.394780 + 0.156538i
\(736\) −7.36703 121.050i −0.271552 4.46197i
\(737\) −10.3374 + 7.79730i −0.380784 + 0.287217i
\(738\) −78.9199 + 10.6684i −2.90508 + 0.392709i
\(739\) 5.20829 + 23.2099i 0.191590 + 0.853788i 0.973189 + 0.230007i \(0.0738749\pi\)
−0.781599 + 0.623781i \(0.785596\pi\)
\(740\) 3.74092 2.46298i 0.137519 0.0905410i
\(741\) −50.3510 + 103.947i −1.84969 + 3.81858i
\(742\) −49.3443 0.315727i −1.81149 0.0115907i
\(743\) 0.0672032 + 0.0718768i 0.00246545 + 0.00263690i 0.731688 0.681640i \(-0.238733\pi\)
−0.729222 + 0.684277i \(0.760118\pi\)
\(744\) 131.071 + 161.613i 4.80530 + 5.92501i
\(745\) −14.7180 5.08596i −0.539225 0.186335i
\(746\) 43.7616 + 16.7075i 1.60223 + 0.611707i
\(747\) −2.02818 1.78969i −0.0742071 0.0654814i
\(748\) −36.9240 11.1927i −1.35007 0.409246i
\(749\) 52.2196 + 38.3497i 1.90806 + 1.40127i
\(750\) 46.7288 28.6663i 1.70629 1.04674i
\(751\) 0.0496740 15.5271i 0.00181263 0.566591i −0.958121 0.286364i \(-0.907553\pi\)
0.959934 0.280227i \(-0.0904099\pi\)
\(752\) 64.8572 41.5214i 2.36510 1.51413i
\(753\) −39.8961 + 38.5163i −1.45390 + 1.40361i
\(754\) 7.48570 34.3871i 0.272613 1.25231i
\(755\) −1.01053 + 4.13047i −0.0367768 + 0.150323i
\(756\) −35.5006 60.0019i −1.29114 2.18225i
\(757\) −28.1408 + 28.5946i −1.02280 + 1.03929i −0.0235788 + 0.999722i \(0.507506\pi\)
−0.999217 + 0.0395665i \(0.987402\pi\)
\(758\) 27.5666 38.3017i 1.00126 1.39118i
\(759\) −16.4980 + 32.4561i −0.598840 + 1.17808i
\(760\) −34.5135 + 46.6822i −1.25193 + 1.69334i
\(761\) 5.89607 8.77084i 0.213732 0.317943i −0.707677 0.706536i \(-0.750257\pi\)
0.921409 + 0.388593i \(0.127039\pi\)
\(762\) −78.0458 36.8843i −2.82730 1.33618i
\(763\) 30.7941 8.69282i 1.11482 0.314701i
\(764\) −56.1091 119.715i −2.02996 4.33113i
\(765\) −8.12338 + 3.22108i −0.293701 + 0.116459i
\(766\) −11.0007 + 1.84712i −0.397471 + 0.0667391i
\(767\) −24.9617 33.7627i −0.901315 1.21910i
\(768\) 162.191 7.26913i 5.85255 0.262302i
\(769\) −0.132373 0.0777489i −0.00477350 0.00280370i 0.504062 0.863667i \(-0.331838\pi\)
−0.508835 + 0.860864i \(0.669924\pi\)
\(770\) 20.1141 3.50981i 0.724861 0.126485i