Properties

Label 384.2.w.a.11.15
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10845 + 0.878258i) q^{2} +(-0.117171 - 1.72808i) q^{3} +(0.457325 - 1.94701i) q^{4} +(3.15748 + 1.68771i) q^{5} +(1.64758 + 1.81259i) q^{6} +(4.43843 + 0.882860i) q^{7} +(1.20306 + 2.55982i) q^{8} +(-2.97254 + 0.404962i) q^{9} +O(q^{10})\) \(q+(-1.10845 + 0.878258i) q^{2} +(-0.117171 - 1.72808i) q^{3} +(0.457325 - 1.94701i) q^{4} +(3.15748 + 1.68771i) q^{5} +(1.64758 + 1.81259i) q^{6} +(4.43843 + 0.882860i) q^{7} +(1.20306 + 2.55982i) q^{8} +(-2.97254 + 0.404962i) q^{9} +(-4.98216 + 0.902342i) q^{10} +(0.254277 - 0.208679i) q^{11} +(-3.41818 - 0.562163i) q^{12} +(-0.958114 + 0.512123i) q^{13} +(-5.69516 + 2.91948i) q^{14} +(2.54654 - 5.65414i) q^{15} +(-3.58171 - 1.78084i) q^{16} +(-3.78622 + 1.56830i) q^{17} +(2.93925 - 3.05954i) q^{18} +(-0.753264 + 2.48318i) q^{19} +(4.72999 - 5.37582i) q^{20} +(1.00560 - 7.77343i) q^{21} +(-0.0985787 + 0.454631i) q^{22} +(3.81700 + 2.55044i) q^{23} +(4.28261 - 2.37892i) q^{24} +(4.34348 + 6.50048i) q^{25} +(0.612246 - 1.40913i) q^{26} +(1.04810 + 5.08935i) q^{27} +(3.74875 - 8.23793i) q^{28} +(-0.997059 - 0.818265i) q^{29} +(2.14309 + 8.50386i) q^{30} +(4.20593 - 4.20593i) q^{31} +(5.53418 - 1.17169i) q^{32} +(-0.390409 - 0.414960i) q^{33} +(2.81946 - 5.06366i) q^{34} +(12.5243 + 10.2784i) q^{35} +(-0.570954 + 5.97277i) q^{36} +(-0.965656 - 3.18334i) q^{37} +(-1.34592 - 3.41404i) q^{38} +(0.997254 + 1.59569i) q^{39} +(-0.521598 + 10.1130i) q^{40} +(-7.88010 - 5.26531i) q^{41} +(5.71242 + 9.49964i) q^{42} +(1.17417 - 11.9215i) q^{43} +(-0.290014 - 0.590514i) q^{44} +(-10.0692 - 3.73813i) q^{45} +(-6.47090 + 0.525277i) q^{46} +(-0.396717 + 0.164326i) q^{47} +(-2.65776 + 6.39815i) q^{48} +(12.4531 + 5.15824i) q^{49} +(-10.5236 - 3.39076i) q^{50} +(3.15379 + 6.35914i) q^{51} +(0.558939 + 2.09967i) q^{52} +(-4.10583 + 3.36957i) q^{53} +(-5.63153 - 4.72079i) q^{54} +(1.15506 - 0.229757i) q^{55} +(3.07973 + 12.4237i) q^{56} +(4.37940 + 1.01075i) q^{57} +(1.82384 + 0.0313314i) q^{58} +(-12.3154 - 6.58272i) q^{59} +(-9.84409 - 7.54392i) q^{60} +(0.222215 + 2.25619i) q^{61} +(-0.968175 + 8.35597i) q^{62} +(-13.5510 - 0.826940i) q^{63} +(-5.10531 + 6.15920i) q^{64} -3.88954 q^{65} +(0.797191 + 0.117083i) q^{66} +(-2.37998 + 0.234407i) q^{67} +(1.32197 + 8.08903i) q^{68} +(3.96013 - 6.89493i) q^{69} +(-22.9096 - 0.393560i) q^{70} +(11.7312 + 2.33349i) q^{71} +(-4.61276 - 7.12197i) q^{72} +(-2.36742 - 11.9018i) q^{73} +(3.86618 + 2.68048i) q^{74} +(10.7244 - 8.26757i) q^{75} +(4.49029 + 2.60223i) q^{76} +(1.31283 - 0.701720i) q^{77} +(-2.50684 - 0.892903i) q^{78} +(-2.34444 + 5.65998i) q^{79} +(-8.30364 - 11.6678i) q^{80} +(8.67201 - 2.40753i) q^{81} +(13.3590 - 1.08442i) q^{82} +(1.54518 - 5.09379i) q^{83} +(-14.6751 - 5.51290i) q^{84} +(-14.6018 - 1.43815i) q^{85} +(9.16866 + 14.2456i) q^{86} +(-1.29720 + 1.81888i) q^{87} +(0.840090 + 0.399848i) q^{88} +(3.82434 + 5.72353i) q^{89} +(14.4443 - 4.69983i) q^{90} +(-4.70466 + 1.42714i) q^{91} +(6.71135 - 6.26537i) q^{92} +(-7.76102 - 6.77539i) q^{93} +(0.295421 - 0.530567i) q^{94} +(-6.56930 + 6.56930i) q^{95} +(-2.67323 - 9.42623i) q^{96} +(10.5838 + 10.5838i) q^{97} +(-18.3339 + 5.21938i) q^{98} +(-0.671341 + 0.723281i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.10845 + 0.878258i −0.783793 + 0.621022i
\(3\) −0.117171 1.72808i −0.0676486 0.997709i
\(4\) 0.457325 1.94701i 0.228663 0.973506i
\(5\) 3.15748 + 1.68771i 1.41207 + 0.754767i 0.988518 0.151105i \(-0.0482832\pi\)
0.423552 + 0.905872i \(0.360783\pi\)
\(6\) 1.64758 + 1.81259i 0.672622 + 0.739986i
\(7\) 4.43843 + 0.882860i 1.67757 + 0.333690i 0.939894 0.341465i \(-0.110923\pi\)
0.737676 + 0.675155i \(0.235923\pi\)
\(8\) 1.20306 + 2.55982i 0.425344 + 0.905032i
\(9\) −2.97254 + 0.404962i −0.990847 + 0.134987i
\(10\) −4.98216 + 0.902342i −1.57550 + 0.285346i
\(11\) 0.254277 0.208679i 0.0766673 0.0629192i −0.595279 0.803519i \(-0.702959\pi\)
0.671946 + 0.740600i \(0.265459\pi\)
\(12\) −3.41818 0.562163i −0.986744 0.162283i
\(13\) −0.958114 + 0.512123i −0.265733 + 0.142037i −0.598883 0.800837i \(-0.704389\pi\)
0.333150 + 0.942874i \(0.391889\pi\)
\(14\) −5.69516 + 2.91948i −1.52210 + 0.780265i
\(15\) 2.54654 5.65414i 0.657513 1.45989i
\(16\) −3.58171 1.78084i −0.895427 0.445209i
\(17\) −3.78622 + 1.56830i −0.918293 + 0.380369i −0.791225 0.611525i \(-0.790556\pi\)
−0.127067 + 0.991894i \(0.540556\pi\)
\(18\) 2.93925 3.05954i 0.692789 0.721140i
\(19\) −0.753264 + 2.48318i −0.172811 + 0.569680i 0.827160 + 0.561967i \(0.189955\pi\)
−0.999970 + 0.00771328i \(0.997545\pi\)
\(20\) 4.72999 5.37582i 1.05766 1.20207i
\(21\) 1.00560 7.77343i 0.219440 1.69630i
\(22\) −0.0985787 + 0.454631i −0.0210170 + 0.0969278i
\(23\) 3.81700 + 2.55044i 0.795900 + 0.531803i 0.885756 0.464151i \(-0.153641\pi\)
−0.0898560 + 0.995955i \(0.528641\pi\)
\(24\) 4.28261 2.37892i 0.874184 0.485594i
\(25\) 4.34348 + 6.50048i 0.868697 + 1.30010i
\(26\) 0.612246 1.40913i 0.120071 0.276354i
\(27\) 1.04810 + 5.08935i 0.201708 + 0.979446i
\(28\) 3.74875 8.23793i 0.708447 1.55682i
\(29\) −0.997059 0.818265i −0.185149 0.151948i 0.537253 0.843421i \(-0.319462\pi\)
−0.722402 + 0.691473i \(0.756962\pi\)
\(30\) 2.14309 + 8.50386i 0.391272 + 1.55258i
\(31\) 4.20593 4.20593i 0.755408 0.755408i −0.220075 0.975483i \(-0.570630\pi\)
0.975483 + 0.220075i \(0.0706302\pi\)
\(32\) 5.53418 1.17169i 0.978314 0.207128i
\(33\) −0.390409 0.414960i −0.0679615 0.0722353i
\(34\) 2.81946 5.06366i 0.483534 0.868411i
\(35\) 12.5243 + 10.2784i 2.11699 + 1.73737i
\(36\) −0.570954 + 5.97277i −0.0951589 + 0.995462i
\(37\) −0.965656 3.18334i −0.158753 0.523338i 0.841093 0.540890i \(-0.181913\pi\)
−0.999846 + 0.0175522i \(0.994413\pi\)
\(38\) −1.34592 3.41404i −0.218336 0.553831i
\(39\) 0.997254 + 1.59569i 0.159688 + 0.255516i
\(40\) −0.521598 + 10.1130i −0.0824719 + 1.59900i
\(41\) −7.88010 5.26531i −1.23066 0.822304i −0.241685 0.970355i \(-0.577700\pi\)
−0.988980 + 0.148051i \(0.952700\pi\)
\(42\) 5.71242 + 9.49964i 0.881445 + 1.46583i
\(43\) 1.17417 11.9215i 0.179059 1.81801i −0.315562 0.948905i \(-0.602193\pi\)
0.494621 0.869109i \(-0.335307\pi\)
\(44\) −0.290014 0.590514i −0.0437213 0.0890233i
\(45\) −10.0692 3.73813i −1.50103 0.557247i
\(46\) −6.47090 + 0.525277i −0.954082 + 0.0774479i
\(47\) −0.396717 + 0.164326i −0.0578671 + 0.0239693i −0.411429 0.911442i \(-0.634970\pi\)
0.353562 + 0.935411i \(0.384970\pi\)
\(48\) −2.65776 + 6.39815i −0.383615 + 0.923493i
\(49\) 12.4531 + 5.15824i 1.77901 + 0.736892i
\(50\) −10.5236 3.39076i −1.48827 0.479527i
\(51\) 3.15379 + 6.35914i 0.441619 + 0.890458i
\(52\) 0.558939 + 2.09967i 0.0775109 + 0.291171i
\(53\) −4.10583 + 3.36957i −0.563979 + 0.462845i −0.872666 0.488318i \(-0.837610\pi\)
0.308687 + 0.951164i \(0.400110\pi\)
\(54\) −5.63153 4.72079i −0.766355 0.642418i
\(55\) 1.15506 0.229757i 0.155749 0.0309804i
\(56\) 3.07973 + 12.4237i 0.411546 + 1.66019i
\(57\) 4.37940 + 1.01075i 0.580066 + 0.133877i
\(58\) 1.82384 + 0.0313314i 0.239482 + 0.00411402i
\(59\) −12.3154 6.58272i −1.60333 0.856997i −0.998143 0.0609113i \(-0.980599\pi\)
−0.605185 0.796085i \(-0.706901\pi\)
\(60\) −9.84409 7.54392i −1.27087 0.973916i
\(61\) 0.222215 + 2.25619i 0.0284517 + 0.288875i 0.998873 + 0.0474582i \(0.0151121\pi\)
−0.970422 + 0.241417i \(0.922388\pi\)
\(62\) −0.968175 + 8.35597i −0.122958 + 1.06121i
\(63\) −13.5510 0.826940i −1.70726 0.104185i
\(64\) −5.10531 + 6.15920i −0.638164 + 0.769900i
\(65\) −3.88954 −0.482439
\(66\) 0.797191 + 0.117083i 0.0981275 + 0.0144119i
\(67\) −2.37998 + 0.234407i −0.290760 + 0.0286374i −0.242346 0.970190i \(-0.577917\pi\)
−0.0484145 + 0.998827i \(0.515417\pi\)
\(68\) 1.32197 + 8.08903i 0.160312 + 0.980939i
\(69\) 3.96013 6.89493i 0.476744 0.830052i
\(70\) −22.9096 0.393560i −2.73822 0.0470395i
\(71\) 11.7312 + 2.33349i 1.39224 + 0.276934i 0.833551 0.552442i \(-0.186304\pi\)
0.558690 + 0.829376i \(0.311304\pi\)
\(72\) −4.61276 7.12197i −0.543619 0.839332i
\(73\) −2.36742 11.9018i −0.277086 1.39300i −0.829068 0.559148i \(-0.811129\pi\)
0.551983 0.833856i \(-0.313871\pi\)
\(74\) 3.86618 + 2.68048i 0.449434 + 0.311600i
\(75\) 10.7244 8.26757i 1.23835 0.954657i
\(76\) 4.49029 + 2.60223i 0.515072 + 0.298497i
\(77\) 1.31283 0.701720i 0.149610 0.0799684i
\(78\) −2.50684 0.892903i −0.283844 0.101101i
\(79\) −2.34444 + 5.65998i −0.263770 + 0.636797i −0.999166 0.0408409i \(-0.986996\pi\)
0.735396 + 0.677638i \(0.236996\pi\)
\(80\) −8.30364 11.6678i −0.928376 1.30450i
\(81\) 8.67201 2.40753i 0.963557 0.267504i
\(82\) 13.3590 1.08442i 1.47525 0.119754i
\(83\) 1.54518 5.09379i 0.169606 0.559116i −0.830392 0.557179i \(-0.811884\pi\)
0.999998 0.00193648i \(-0.000616401\pi\)
\(84\) −14.6751 5.51290i −1.60118 0.601507i
\(85\) −14.6018 1.43815i −1.58378 0.155989i
\(86\) 9.16866 + 14.2456i 0.988682 + 1.53615i
\(87\) −1.29720 + 1.81888i −0.139075 + 0.195004i
\(88\) 0.840090 + 0.399848i 0.0895539 + 0.0426240i
\(89\) 3.82434 + 5.72353i 0.405379 + 0.606693i 0.976849 0.213930i \(-0.0686265\pi\)
−0.571470 + 0.820623i \(0.693626\pi\)
\(90\) 14.4443 4.69983i 1.52256 0.495406i
\(91\) −4.70466 + 1.42714i −0.493182 + 0.149605i
\(92\) 6.71135 6.26537i 0.699706 0.653209i
\(93\) −7.76102 6.77539i −0.804780 0.702575i
\(94\) 0.295421 0.530567i 0.0304703 0.0547238i
\(95\) −6.56930 + 6.56930i −0.673996 + 0.673996i
\(96\) −2.67323 9.42623i −0.272835 0.962061i
\(97\) 10.5838 + 10.5838i 1.07462 + 1.07462i 0.996981 + 0.0776408i \(0.0247387\pi\)
0.0776408 + 0.996981i \(0.475261\pi\)
\(98\) −18.3339 + 5.21938i −1.85201 + 0.527237i
\(99\) −0.671341 + 0.723281i −0.0674723 + 0.0726925i
\(100\) 14.6429 5.48398i 1.46429 0.548398i
\(101\) −2.46276 8.11863i −0.245054 0.807834i −0.990044 0.140759i \(-0.955046\pi\)
0.744990 0.667076i \(-0.232454\pi\)
\(102\) −9.08079 4.27895i −0.899132 0.423679i
\(103\) −11.4218 + 7.63183i −1.12543 + 0.751987i −0.971722 0.236130i \(-0.924121\pi\)
−0.153706 + 0.988117i \(0.549121\pi\)
\(104\) −2.46360 1.83648i −0.241576 0.180082i
\(105\) 16.2945 22.8473i 1.59018 2.22967i
\(106\) 1.59176 7.34097i 0.154605 0.713018i
\(107\) 1.62270 16.4756i 0.156873 1.59276i −0.518368 0.855158i \(-0.673460\pi\)
0.675241 0.737597i \(-0.264040\pi\)
\(108\) 10.3883 + 0.286820i 0.999619 + 0.0275993i
\(109\) −1.91254 0.580162i −0.183188 0.0555694i 0.197358 0.980331i \(-0.436764\pi\)
−0.380546 + 0.924762i \(0.624264\pi\)
\(110\) −1.07855 + 1.26912i −0.102835 + 0.121006i
\(111\) −5.38793 + 2.04173i −0.511400 + 0.193792i
\(112\) −14.3249 11.0663i −1.35358 1.04566i
\(113\) −14.2290 5.89386i −1.33856 0.554448i −0.405472 0.914107i \(-0.632893\pi\)
−0.933084 + 0.359659i \(0.882893\pi\)
\(114\) −5.74205 + 2.72588i −0.537792 + 0.255302i
\(115\) 7.74772 + 14.4950i 0.722478 + 1.35166i
\(116\) −2.04915 + 1.56707i −0.190259 + 0.145499i
\(117\) 2.64064 1.91031i 0.244128 0.176608i
\(118\) 19.4323 3.51948i 1.78889 0.323994i
\(119\) −18.1895 + 3.61811i −1.66743 + 0.331672i
\(120\) 17.5372 0.283583i 1.60092 0.0258874i
\(121\) −2.12488 + 10.6825i −0.193171 + 0.971138i
\(122\) −2.22783 2.30571i −0.201698 0.208749i
\(123\) −8.17558 + 14.2344i −0.737167 + 1.28347i
\(124\) −6.26552 10.1125i −0.562660 0.908128i
\(125\) 0.988927 + 10.0407i 0.0884523 + 0.898071i
\(126\) 15.7468 10.9846i 1.40284 0.978587i
\(127\) 11.6987i 1.03810i −0.854745 0.519048i \(-0.826287\pi\)
0.854745 0.519048i \(-0.173713\pi\)
\(128\) 0.249618 11.3110i 0.0220634 0.999757i
\(129\) −20.7389 0.632203i −1.82596 0.0556624i
\(130\) 4.31137 3.41602i 0.378132 0.299605i
\(131\) −3.10925 + 0.306234i −0.271656 + 0.0267558i −0.232928 0.972494i \(-0.574831\pi\)
−0.0387283 + 0.999250i \(0.512331\pi\)
\(132\) −0.986476 + 0.570360i −0.0858617 + 0.0496434i
\(133\) −5.53561 + 10.3564i −0.479998 + 0.898014i
\(134\) 2.43222 2.35006i 0.210111 0.203014i
\(135\) −5.27998 + 17.8384i −0.454428 + 1.53529i
\(136\) −8.56960 7.80526i −0.734837 0.669296i
\(137\) 2.66947 + 13.4203i 0.228068 + 1.14658i 0.909823 + 0.414996i \(0.136217\pi\)
−0.681755 + 0.731581i \(0.738783\pi\)
\(138\) 1.66592 + 11.1207i 0.141813 + 0.946658i
\(139\) 6.81501 + 8.30411i 0.578041 + 0.704345i 0.977148 0.212559i \(-0.0681798\pi\)
−0.399107 + 0.916904i \(0.630680\pi\)
\(140\) 25.7398 19.6843i 2.17541 1.66363i
\(141\) 0.330452 + 0.666306i 0.0278291 + 0.0561131i
\(142\) −15.0529 + 7.71650i −1.26321 + 0.647554i
\(143\) −0.136757 + 0.330160i −0.0114362 + 0.0276093i
\(144\) 11.3679 + 3.84315i 0.947329 + 0.320263i
\(145\) −1.76720 4.26641i −0.146758 0.354306i
\(146\) 13.0770 + 11.1134i 1.08226 + 0.919750i
\(147\) 7.45473 22.1244i 0.614856 1.82479i
\(148\) −6.63962 + 0.424320i −0.545774 + 0.0348789i
\(149\) −6.01785 0.592707i −0.493002 0.0485564i −0.151538 0.988451i \(-0.548423\pi\)
−0.341464 + 0.939895i \(0.610923\pi\)
\(150\) −4.62646 + 18.5830i −0.377749 + 1.51730i
\(151\) −7.02978 + 10.5208i −0.572076 + 0.856172i −0.998838 0.0481919i \(-0.984654\pi\)
0.426762 + 0.904364i \(0.359654\pi\)
\(152\) −7.26270 + 1.05919i −0.589083 + 0.0859113i
\(153\) 10.6196 6.19512i 0.858543 0.500846i
\(154\) −0.838911 + 1.93082i −0.0676014 + 0.155590i
\(155\) 20.3786 6.18177i 1.63685 0.496532i
\(156\) 3.56291 1.21191i 0.285261 0.0970306i
\(157\) −3.16015 + 3.85065i −0.252207 + 0.307315i −0.883688 0.468076i \(-0.844947\pi\)
0.631481 + 0.775391i \(0.282447\pi\)
\(158\) −2.37222 8.33283i −0.188724 0.662924i
\(159\) 6.30397 + 6.70040i 0.499937 + 0.531376i
\(160\) 19.4516 + 5.64048i 1.53778 + 0.445919i
\(161\) 14.6898 + 14.6898i 1.15772 + 1.15772i
\(162\) −7.49806 + 10.2849i −0.589103 + 0.808058i
\(163\) 5.08440 6.19536i 0.398241 0.485258i −0.534825 0.844963i \(-0.679622\pi\)
0.933066 + 0.359704i \(0.117122\pi\)
\(164\) −13.8554 + 12.9347i −1.08192 + 1.01003i
\(165\) −0.532379 1.96913i −0.0414456 0.153296i
\(166\) 2.76090 + 7.00328i 0.214287 + 0.543560i
\(167\) 17.7384 11.8524i 1.37264 0.917168i 0.372696 0.927953i \(-0.378433\pi\)
0.999942 + 0.0107857i \(0.00343327\pi\)
\(168\) 21.1083 6.77772i 1.62854 0.522912i
\(169\) −6.56670 + 9.82776i −0.505131 + 0.755982i
\(170\) 17.4484 11.2300i 1.33823 0.861301i
\(171\) 1.23352 7.68640i 0.0943293 0.587793i
\(172\) −22.6743 7.73813i −1.72890 0.590027i
\(173\) −17.7031 5.37016i −1.34594 0.408286i −0.466594 0.884472i \(-0.654519\pi\)
−0.879345 + 0.476186i \(0.842019\pi\)
\(174\) −0.159558 3.15542i −0.0120960 0.239212i
\(175\) 13.5393 + 32.6867i 1.02347 + 2.47088i
\(176\) −1.28237 + 0.294604i −0.0966622 + 0.0222066i
\(177\) −9.93247 + 22.0533i −0.746570 + 1.65763i
\(178\) −9.26583 2.98549i −0.694504 0.223772i
\(179\) −1.08693 2.03351i −0.0812412 0.151992i 0.838020 0.545639i \(-0.183713\pi\)
−0.919261 + 0.393647i \(0.871213\pi\)
\(180\) −11.8831 + 17.8953i −0.885713 + 1.33384i
\(181\) −2.28371 2.78270i −0.169747 0.206837i 0.681188 0.732109i \(-0.261464\pi\)
−0.850935 + 0.525272i \(0.823964\pi\)
\(182\) 3.96148 5.71382i 0.293645 0.423537i
\(183\) 3.87284 0.648365i 0.286289 0.0479285i
\(184\) −1.93659 + 12.8391i −0.142767 + 0.946514i
\(185\) 2.32351 11.6811i 0.170828 0.858811i
\(186\) 14.5532 + 0.694010i 1.06710 + 0.0508873i
\(187\) −0.635474 + 1.18889i −0.0464705 + 0.0869402i
\(188\) 0.138515 + 0.847563i 0.0101022 + 0.0618149i
\(189\) 0.158757 + 23.5141i 0.0115478 + 1.71040i
\(190\) 1.51220 13.0513i 0.109707 0.946840i
\(191\) 18.1873i 1.31599i 0.753023 + 0.657995i \(0.228595\pi\)
−0.753023 + 0.657995i \(0.771405\pi\)
\(192\) 11.2418 + 8.10073i 0.811308 + 0.584620i
\(193\) 1.92831i 0.138803i −0.997589 0.0694015i \(-0.977891\pi\)
0.997589 0.0694015i \(-0.0221090\pi\)
\(194\) −21.0269 2.43631i −1.50965 0.174917i
\(195\) 0.455741 + 6.72145i 0.0326363 + 0.481333i
\(196\) 15.7383 21.8873i 1.12416 1.56338i
\(197\) 0.0437484 0.0818476i 0.00311695 0.00583140i −0.880358 0.474310i \(-0.842698\pi\)
0.883475 + 0.468478i \(0.155198\pi\)
\(198\) 0.108921 1.39133i 0.00774067 0.0988776i
\(199\) −0.129022 + 0.648635i −0.00914609 + 0.0459805i −0.985089 0.172046i \(-0.944962\pi\)
0.975943 + 0.218027i \(0.0699621\pi\)
\(200\) −11.4146 + 18.9390i −0.807133 + 1.33919i
\(201\) 0.683939 + 4.08533i 0.0482413 + 0.288157i
\(202\) 9.86011 + 6.83617i 0.693755 + 0.480991i
\(203\) −3.70297 4.51208i −0.259898 0.316686i
\(204\) 13.8236 3.23227i 0.967847 0.226304i
\(205\) −15.9950 29.9245i −1.11714 2.09001i
\(206\) 5.95783 18.4908i 0.415102 1.28832i
\(207\) −12.3790 6.03555i −0.860402 0.419499i
\(208\) 4.34369 0.128029i 0.301181 0.00887724i
\(209\) 0.326651 + 0.788605i 0.0225949 + 0.0545490i
\(210\) 2.00424 + 39.6359i 0.138305 + 2.73513i
\(211\) −6.45970 1.95953i −0.444704 0.134899i 0.0599877 0.998199i \(-0.480894\pi\)
−0.504692 + 0.863300i \(0.668394\pi\)
\(212\) 4.68288 + 9.53508i 0.321622 + 0.654872i
\(213\) 2.65790 20.5460i 0.182116 1.40779i
\(214\) 12.6711 + 19.6875i 0.866181 + 1.34581i
\(215\) 23.8275 35.6603i 1.62502 2.43201i
\(216\) −11.7669 + 8.80572i −0.800634 + 0.599154i
\(217\) 22.3810 14.9545i 1.51932 1.01518i
\(218\) 2.62948 1.03662i 0.178091 0.0702088i
\(219\) −20.2899 + 5.48565i −1.37107 + 0.370686i
\(220\) 0.0809017 2.35400i 0.00545439 0.158707i
\(221\) 2.82447 3.44162i 0.189994 0.231508i
\(222\) 4.17909 6.99515i 0.280482 0.469484i
\(223\) −7.18097 7.18097i −0.480873 0.480873i 0.424537 0.905410i \(-0.360437\pi\)
−0.905410 + 0.424537i \(0.860437\pi\)
\(224\) 25.5975 0.314587i 1.71031 0.0210192i
\(225\) −15.5436 17.5640i −1.03624 1.17093i
\(226\) 20.9485 5.96372i 1.39348 0.396701i
\(227\) −7.58992 + 9.24834i −0.503760 + 0.613834i −0.961350 0.275330i \(-0.911213\pi\)
0.457589 + 0.889164i \(0.348713\pi\)
\(228\) 3.97075 8.06450i 0.262969 0.534085i
\(229\) 12.4186 3.76713i 0.820642 0.248939i 0.148076 0.988976i \(-0.452692\pi\)
0.672566 + 0.740037i \(0.265192\pi\)
\(230\) −21.3183 9.26245i −1.40569 0.610748i
\(231\) −1.36645 2.18645i −0.0899061 0.143858i
\(232\) 0.895091 3.53671i 0.0587656 0.232196i
\(233\) 4.38425 6.56150i 0.287222 0.429858i −0.659600 0.751617i \(-0.729274\pi\)
0.946822 + 0.321759i \(0.104274\pi\)
\(234\) −1.24928 + 4.43665i −0.0816681 + 0.290033i
\(235\) −1.52996 0.150688i −0.0998037 0.00982980i
\(236\) −18.4488 + 20.9678i −1.20091 + 1.36489i
\(237\) 10.0556 + 3.38820i 0.653182 + 0.220087i
\(238\) 16.9845 19.9855i 1.10094 1.29547i
\(239\) 3.95566 + 9.54980i 0.255870 + 0.617725i 0.998657 0.0518025i \(-0.0164966\pi\)
−0.742787 + 0.669528i \(0.766497\pi\)
\(240\) −19.1901 + 15.7165i −1.23871 + 1.01450i
\(241\) −8.65783 + 20.9019i −0.557700 + 1.34641i 0.353883 + 0.935290i \(0.384861\pi\)
−0.911583 + 0.411117i \(0.865139\pi\)
\(242\) −7.02667 13.7072i −0.451692 0.881134i
\(243\) −5.17652 14.7039i −0.332074 0.943253i
\(244\) 4.49444 + 0.599156i 0.287727 + 0.0383571i
\(245\) 30.6148 + 37.3043i 1.95591 + 2.38328i
\(246\) −3.43925 22.9584i −0.219279 1.46377i
\(247\) −0.549979 2.76493i −0.0349943 0.175928i
\(248\) 15.8264 + 5.70644i 1.00498 + 0.362359i
\(249\) −8.98354 2.07336i −0.569309 0.131394i
\(250\) −9.91454 10.2611i −0.627051 0.648971i
\(251\) 2.62434 4.90980i 0.165647 0.309904i −0.785379 0.619016i \(-0.787532\pi\)
0.951026 + 0.309112i \(0.100032\pi\)
\(252\) −7.80726 + 26.0057i −0.491811 + 1.63820i
\(253\) 1.50280 0.148013i 0.0944802 0.00930548i
\(254\) 10.2745 + 12.9675i 0.644680 + 0.813652i
\(255\) −0.774338 + 25.4016i −0.0484909 + 1.59071i
\(256\) 9.65725 + 12.7569i 0.603578 + 0.797304i
\(257\) 5.19933i 0.324325i 0.986764 + 0.162163i \(0.0518470\pi\)
−0.986764 + 0.162163i \(0.948153\pi\)
\(258\) 23.5433 17.5134i 1.46574 1.09034i
\(259\) −1.47556 14.9816i −0.0916867 0.930911i
\(260\) −1.77879 + 7.57299i −0.110316 + 0.469657i
\(261\) 3.29517 + 2.02856i 0.203966 + 0.125565i
\(262\) 3.17750 3.07017i 0.196306 0.189676i
\(263\) 3.64526 18.3260i 0.224776 1.13003i −0.689297 0.724479i \(-0.742080\pi\)
0.914073 0.405549i \(-0.132920\pi\)
\(264\) 0.592537 1.49860i 0.0364681 0.0922322i
\(265\) −18.6509 + 3.70990i −1.14572 + 0.227897i
\(266\) −2.95964 16.3413i −0.181467 1.00195i
\(267\) 9.44264 7.27941i 0.577880 0.445493i
\(268\) −0.632030 + 4.74104i −0.0386074 + 0.289605i
\(269\) 9.26867 + 17.3405i 0.565120 + 1.05727i 0.988487 + 0.151307i \(0.0483483\pi\)
−0.423366 + 0.905959i \(0.639152\pi\)
\(270\) −9.81415 24.4102i −0.597270 1.48556i
\(271\) −7.79510 3.22883i −0.473518 0.196138i 0.133145 0.991097i \(-0.457492\pi\)
−0.606663 + 0.794959i \(0.707492\pi\)
\(272\) 16.3540 + 1.12543i 0.991608 + 0.0682393i
\(273\) 3.01747 + 7.96282i 0.182626 + 0.481932i
\(274\) −14.7455 12.5313i −0.890808 0.757044i
\(275\) 2.46096 + 0.746525i 0.148402 + 0.0450172i
\(276\) −11.6134 10.8636i −0.699047 0.653915i
\(277\) −0.704963 + 7.15761i −0.0423571 + 0.430059i 0.950498 + 0.310731i \(0.100574\pi\)
−0.992855 + 0.119328i \(0.961926\pi\)
\(278\) −14.8473 3.21936i −0.890479 0.193084i
\(279\) −10.7991 + 14.2056i −0.646524 + 0.850465i
\(280\) −11.2434 + 44.4253i −0.671923 + 2.65492i
\(281\) 0.612532 0.409281i 0.0365406 0.0244156i −0.537166 0.843477i \(-0.680505\pi\)
0.573706 + 0.819061i \(0.305505\pi\)
\(282\) −0.951478 0.448345i −0.0566597 0.0266986i
\(283\) 0.885153 + 2.91796i 0.0526169 + 0.173455i 0.979311 0.202363i \(-0.0648620\pi\)
−0.926694 + 0.375817i \(0.877362\pi\)
\(284\) 9.90832 21.7737i 0.587951 1.29203i
\(285\) 12.1220 + 10.5826i 0.718047 + 0.626858i
\(286\) −0.138377 0.486073i −0.00818243 0.0287421i
\(287\) −30.3268 30.3268i −1.79013 1.79013i
\(288\) −15.9761 + 5.72404i −0.941400 + 0.337292i
\(289\) −0.144943 + 0.144943i −0.00852606 + 0.00852606i
\(290\) 5.70586 + 3.17704i 0.335060 + 0.186562i
\(291\) 17.0496 19.5298i 0.999464 1.14486i
\(292\) −24.2557 0.833614i −1.41946 0.0487835i
\(293\) 9.16024 2.77873i 0.535147 0.162335i −0.0111325 0.999938i \(-0.503544\pi\)
0.546279 + 0.837603i \(0.316044\pi\)
\(294\) 11.1677 + 31.0710i 0.651315 + 1.81210i
\(295\) −27.7759 41.5696i −1.61718 2.42028i
\(296\) 6.98703 6.30164i 0.406113 0.366275i
\(297\) 1.32855 + 1.07539i 0.0770904 + 0.0624002i
\(298\) 7.19104 4.62824i 0.416566 0.268107i
\(299\) −4.96326 0.488839i −0.287033 0.0282703i
\(300\) −11.1925 24.6616i −0.646199 1.42384i
\(301\) 15.7365 51.8762i 0.907036 2.99010i
\(302\) −1.44782 17.8358i −0.0833128 1.02633i
\(303\) −13.7411 + 5.20712i −0.789406 + 0.299141i
\(304\) 7.12011 7.55258i 0.408366 0.433170i
\(305\) −3.10615 + 7.49890i −0.177857 + 0.429386i
\(306\) −6.33038 + 16.1937i −0.361883 + 0.925734i
\(307\) −5.04444 + 2.69631i −0.287901 + 0.153886i −0.609025 0.793151i \(-0.708439\pi\)
0.321124 + 0.947037i \(0.395939\pi\)
\(308\) −0.765868 2.87700i −0.0436394 0.163932i
\(309\) 14.5267 + 18.8437i 0.826398 + 1.07198i
\(310\) −17.1594 + 24.7498i −0.974591 + 1.40570i
\(311\) 3.98035 + 20.0106i 0.225705 + 1.13470i 0.912888 + 0.408211i \(0.133847\pi\)
−0.687183 + 0.726485i \(0.741153\pi\)
\(312\) −2.88493 + 4.47250i −0.163327 + 0.253205i
\(313\) 22.3694 + 4.44955i 1.26439 + 0.251503i 0.781350 0.624093i \(-0.214531\pi\)
0.483043 + 0.875596i \(0.339531\pi\)
\(314\) 0.121002 7.04368i 0.00682854 0.397498i
\(315\) −41.3913 25.4811i −2.33213 1.43570i
\(316\) 9.94787 + 7.15310i 0.559611 + 0.402393i
\(317\) −14.9443 + 1.47189i −0.839357 + 0.0826695i −0.508554 0.861030i \(-0.669820\pi\)
−0.330804 + 0.943700i \(0.607320\pi\)
\(318\) −12.8723 1.89054i −0.721844 0.106016i
\(319\) −0.424284 −0.0237554
\(320\) −26.5149 + 10.8313i −1.48223 + 0.605488i
\(321\) −28.6613 0.873708i −1.59972 0.0487656i
\(322\) −29.1844 3.38149i −1.62638 0.188443i
\(323\) −1.04235 10.5832i −0.0579982 0.588865i
\(324\) −0.721562 17.9855i −0.0400868 0.999196i
\(325\) −7.49060 4.00381i −0.415504 0.222091i
\(326\) −0.194682 + 11.3327i −0.0107824 + 0.627659i
\(327\) −0.778474 + 3.37300i −0.0430497 + 0.186527i
\(328\) 3.99803 26.5061i 0.220754 1.46355i
\(329\) −1.90588 + 0.379103i −0.105074 + 0.0209006i
\(330\) 2.31952 + 1.71511i 0.127685 + 0.0944139i
\(331\) 8.39605 6.89046i 0.461489 0.378734i −0.374726 0.927135i \(-0.622263\pi\)
0.836215 + 0.548401i \(0.184763\pi\)
\(332\) −9.21101 5.33801i −0.505520 0.292961i
\(333\) 4.15959 + 9.07156i 0.227944 + 0.497119i
\(334\) −9.25265 + 28.7167i −0.506283 + 1.57131i
\(335\) −7.91034 3.27657i −0.432188 0.179018i
\(336\) −17.4450 + 26.0513i −0.951701 + 1.42122i
\(337\) 10.8536 4.49572i 0.591234 0.244897i −0.0669473 0.997757i \(-0.521326\pi\)
0.658182 + 0.752859i \(0.271326\pi\)
\(338\) −1.35245 16.6608i −0.0735635 0.906230i
\(339\) −8.51785 + 25.2796i −0.462626 + 1.37300i
\(340\) −9.47785 + 27.7721i −0.514008 + 1.50615i
\(341\) 0.191779 1.94716i 0.0103854 0.105445i
\(342\) 5.38335 + 9.60334i 0.291098 + 0.519289i
\(343\) 24.3792 + 16.2897i 1.31635 + 0.879560i
\(344\) 31.9295 11.3366i 1.72152 0.611228i
\(345\) 24.1407 15.0871i 1.29969 0.812261i
\(346\) 24.3393 9.59529i 1.30849 0.515846i
\(347\) −0.588920 1.94141i −0.0316149 0.104220i 0.939713 0.341964i \(-0.111092\pi\)
−0.971328 + 0.237744i \(0.923592\pi\)
\(348\) 2.94813 + 3.35749i 0.158036 + 0.179980i
\(349\) 13.6738 + 11.2218i 0.731941 + 0.600688i 0.924762 0.380546i \(-0.124264\pi\)
−0.192821 + 0.981234i \(0.561764\pi\)
\(350\) −43.7149 24.3406i −2.33666 1.30106i
\(351\) −3.61057 4.33942i −0.192718 0.231621i
\(352\) 1.16270 1.45280i 0.0619723 0.0774347i
\(353\) −10.5445 + 10.5445i −0.561225 + 0.561225i −0.929655 0.368431i \(-0.879895\pi\)
0.368431 + 0.929655i \(0.379895\pi\)
\(354\) −8.35886 33.1683i −0.444268 1.76288i
\(355\) 33.1029 + 27.1669i 1.75692 + 1.44187i
\(356\) 12.8928 4.82852i 0.683314 0.255911i
\(357\) 8.38367 + 31.0090i 0.443711 + 1.64117i
\(358\) 2.99076 + 1.29944i 0.158067 + 0.0686774i
\(359\) −12.2147 18.2806i −0.644668 0.964814i −0.999553 0.0299041i \(-0.990480\pi\)
0.354884 0.934910i \(-0.384520\pi\)
\(360\) −2.54490 30.2725i −0.134128 1.59550i
\(361\) 10.1992 + 6.81486i 0.536797 + 0.358677i
\(362\) 4.97531 + 1.07881i 0.261496 + 0.0567008i
\(363\) 18.7092 + 2.42030i 0.981981 + 0.127033i
\(364\) 0.627103 + 9.81269i 0.0328691 + 0.514325i
\(365\) 12.6117 41.5753i 0.660129 2.17615i
\(366\) −3.72342 + 4.12003i −0.194626 + 0.215358i
\(367\) 16.4142 6.79899i 0.856815 0.354904i 0.0893538 0.996000i \(-0.471520\pi\)
0.767461 + 0.641096i \(0.221520\pi\)
\(368\) −9.12947 15.9324i −0.475906 0.830533i
\(369\) 25.5562 + 12.4602i 1.33040 + 0.648653i
\(370\) 7.68352 + 14.9886i 0.399447 + 0.779218i
\(371\) −21.1983 + 11.3307i −1.10056 + 0.588262i
\(372\) −16.7411 + 12.0122i −0.867984 + 0.622805i
\(373\) −1.92389 + 1.57889i −0.0996151 + 0.0817520i −0.682883 0.730528i \(-0.739274\pi\)
0.583267 + 0.812280i \(0.301774\pi\)
\(374\) −0.339759 1.87594i −0.0175685 0.0970023i
\(375\) 17.2354 2.88543i 0.890030 0.149003i
\(376\) −0.897916 0.817830i −0.0463065 0.0421763i
\(377\) 1.37435 + 0.273375i 0.0707826 + 0.0140795i
\(378\) −20.8274 25.9248i −1.07125 1.33343i
\(379\) −13.7920 7.37198i −0.708447 0.378673i 0.0774784 0.996994i \(-0.475313\pi\)
−0.785926 + 0.618321i \(0.787813\pi\)
\(380\) 9.78620 + 15.7948i 0.502021 + 0.810257i
\(381\) −20.2164 + 1.37075i −1.03572 + 0.0702257i
\(382\) −15.9732 20.1598i −0.817259 1.03146i
\(383\) −15.7342 −0.803982 −0.401991 0.915644i \(-0.631682\pi\)
−0.401991 + 0.915644i \(0.631682\pi\)
\(384\) −19.5755 + 0.893953i −0.998959 + 0.0456193i
\(385\) 5.32952 0.271618
\(386\) 1.69356 + 2.13744i 0.0861998 + 0.108793i
\(387\) 1.33750 + 35.9127i 0.0679889 + 1.82554i
\(388\) 25.4470 15.7665i 1.29188 0.800425i
\(389\) 15.8017 + 8.44621i 0.801180 + 0.428240i 0.820552 0.571573i \(-0.193666\pi\)
−0.0193712 + 0.999812i \(0.506166\pi\)
\(390\) −6.40834 7.05014i −0.324499 0.356998i
\(391\) −18.4519 3.67030i −0.933151 0.185615i
\(392\) 1.77762 + 38.0833i 0.0897835 + 1.92350i
\(393\) 0.893512 + 5.33716i 0.0450717 + 0.269224i
\(394\) 0.0233903 + 0.129146i 0.00117839 + 0.00650630i
\(395\) −16.9549 + 13.9145i −0.853095 + 0.700117i
\(396\) 1.10121 + 1.63788i 0.0553381 + 0.0823067i
\(397\) −24.6653 + 13.1839i −1.23792 + 0.661679i −0.954755 0.297393i \(-0.903883\pi\)
−0.283160 + 0.959073i \(0.591383\pi\)
\(398\) −0.426655 0.832294i −0.0213863 0.0417191i
\(399\) 18.5453 + 8.35253i 0.928428 + 0.418149i
\(400\) −3.98079 31.0179i −0.199040 1.55089i
\(401\) 17.4519 7.22880i 0.871505 0.360989i 0.0983084 0.995156i \(-0.468657\pi\)
0.773196 + 0.634167i \(0.218657\pi\)
\(402\) −4.34609 3.92771i −0.216763 0.195896i
\(403\) −1.87581 + 6.18372i −0.0934408 + 0.308033i
\(404\) −16.9334 + 1.08217i −0.842466 + 0.0538397i
\(405\) 31.4449 + 7.03410i 1.56251 + 0.349527i
\(406\) 8.06733 + 1.74926i 0.400375 + 0.0868141i
\(407\) −0.909842 0.607937i −0.0450992 0.0301343i
\(408\) −12.4840 + 15.7235i −0.618052 + 0.778431i
\(409\) −7.99549 11.9661i −0.395351 0.591685i 0.579382 0.815056i \(-0.303294\pi\)
−0.974734 + 0.223371i \(0.928294\pi\)
\(410\) 44.0110 + 19.1221i 2.17355 + 0.944372i
\(411\) 22.8787 6.18554i 1.12852 0.305110i
\(412\) 9.63577 + 25.7287i 0.474720 + 1.26756i
\(413\) −48.8495 40.0897i −2.40372 1.97269i
\(414\) 19.0223 4.18188i 0.934896 0.205528i
\(415\) 13.4757 13.4757i 0.661497 0.661497i
\(416\) −4.70232 + 3.95680i −0.230550 + 0.193998i
\(417\) 13.5517 12.7499i 0.663628 0.624365i
\(418\) −1.05468 0.587246i −0.0515859 0.0287231i
\(419\) 16.2982 + 13.3756i 0.796218 + 0.653439i 0.941901 0.335892i \(-0.109038\pi\)
−0.145682 + 0.989331i \(0.546538\pi\)
\(420\) −37.0321 42.1741i −1.80698 2.05789i
\(421\) 0.563792 + 1.85857i 0.0274775 + 0.0905813i 0.969607 0.244669i \(-0.0786792\pi\)
−0.942129 + 0.335250i \(0.891179\pi\)
\(422\) 8.88123 3.50124i 0.432331 0.170438i
\(423\) 1.11271 0.649120i 0.0541019 0.0315613i
\(424\) −13.5650 6.45639i −0.658775 0.313550i
\(425\) −26.6401 17.8003i −1.29223 0.863444i
\(426\) 15.0985 + 25.1085i 0.731525 + 1.21651i
\(427\) −1.00561 + 10.2101i −0.0486648 + 0.494102i
\(428\) −31.3361 10.6941i −1.51469 0.516920i
\(429\) 0.586567 + 0.197642i 0.0283197 + 0.00954223i
\(430\) 4.90740 + 60.4544i 0.236656 + 2.91537i
\(431\) −5.70097 + 2.36142i −0.274606 + 0.113746i −0.515737 0.856747i \(-0.672482\pi\)
0.241131 + 0.970493i \(0.422482\pi\)
\(432\) 5.30930 20.0951i 0.255444 0.966824i
\(433\) −2.66851 1.10533i −0.128240 0.0531189i 0.317641 0.948211i \(-0.397109\pi\)
−0.445881 + 0.895092i \(0.647109\pi\)
\(434\) −11.6743 + 36.2326i −0.560385 + 1.73922i
\(435\) −7.16564 + 3.55377i −0.343566 + 0.170390i
\(436\) −2.00423 + 3.45841i −0.0959854 + 0.165628i
\(437\) −9.20841 + 7.55714i −0.440498 + 0.361507i
\(438\) 17.6726 23.9004i 0.844429 1.14200i
\(439\) 13.0845 2.60268i 0.624491 0.124219i 0.127306 0.991864i \(-0.459367\pi\)
0.497185 + 0.867645i \(0.334367\pi\)
\(440\) 1.97774 + 2.68034i 0.0942852 + 0.127780i
\(441\) −39.1063 10.2901i −1.86220 0.490003i
\(442\) −0.108149 + 6.29548i −0.00514412 + 0.299445i
\(443\) 18.6761 + 9.98260i 0.887330 + 0.474288i 0.851068 0.525055i \(-0.175955\pi\)
0.0362612 + 0.999342i \(0.488455\pi\)
\(444\) 1.51123 + 11.4241i 0.0717199 + 0.542164i
\(445\) 2.41563 + 24.5263i 0.114512 + 1.16266i
\(446\) 14.2665 + 1.65301i 0.675538 + 0.0782721i
\(447\) −0.319130 + 10.4688i −0.0150943 + 0.495157i
\(448\) −28.0973 + 22.8299i −1.32747 + 1.07861i
\(449\) 32.6193 1.53940 0.769700 0.638406i \(-0.220406\pi\)
0.769700 + 0.638406i \(0.220406\pi\)
\(450\) 32.6551 + 5.81752i 1.53938 + 0.274240i
\(451\) −3.10249 + 0.305568i −0.146090 + 0.0143887i
\(452\) −17.9827 + 25.0087i −0.845836 + 1.17631i
\(453\) 19.0045 + 10.9153i 0.892911 + 0.512846i
\(454\) 0.290618 16.9172i 0.0136394 0.793965i
\(455\) −17.2635 3.43392i −0.809325 0.160985i
\(456\) 2.68134 + 12.4264i 0.125565 + 0.581921i
\(457\) 3.02173 + 15.1912i 0.141350 + 0.710617i 0.984839 + 0.173470i \(0.0554979\pi\)
−0.843489 + 0.537147i \(0.819502\pi\)
\(458\) −10.4569 + 15.0824i −0.488617 + 0.704754i
\(459\) −11.9500 17.6256i −0.557778 0.822695i
\(460\) 31.7651 8.45598i 1.48105 0.394262i
\(461\) −27.3983 + 14.6447i −1.27606 + 0.682071i −0.963470 0.267816i \(-0.913698\pi\)
−0.312595 + 0.949887i \(0.601198\pi\)
\(462\) 3.43491 + 1.22347i 0.159807 + 0.0569211i
\(463\) 2.91349 7.03379i 0.135401 0.326888i −0.841606 0.540091i \(-0.818390\pi\)
0.977008 + 0.213203i \(0.0683897\pi\)
\(464\) 2.11398 + 4.70639i 0.0981390 + 0.218488i
\(465\) −13.0704 34.4915i −0.606125 1.59951i
\(466\) 0.902961 + 11.1236i 0.0418289 + 0.515291i
\(467\) 4.36418 14.3868i 0.201950 0.665741i −0.796205 0.605027i \(-0.793162\pi\)
0.998155 0.0607139i \(-0.0193377\pi\)
\(468\) −2.51175 6.01500i −0.116106 0.278043i
\(469\) −10.7703 1.06078i −0.497327 0.0489824i
\(470\) 1.82823 1.17667i 0.0843299 0.0542758i
\(471\) 7.02452 + 5.00981i 0.323673 + 0.230840i
\(472\) 2.03443 39.4445i 0.0936423 1.81558i
\(473\) −2.18921 3.27639i −0.100660 0.150648i
\(474\) −14.1219 + 5.07577i −0.648638 + 0.233138i
\(475\) −19.4137 + 5.88907i −0.890760 + 0.270209i
\(476\) −1.27401 + 37.0698i −0.0583940 + 1.69909i
\(477\) 10.8402 11.6789i 0.496339 0.534739i
\(478\) −12.7718 7.11139i −0.584170 0.325267i
\(479\) 21.4762 21.4762i 0.981273 0.981273i −0.0185548 0.999828i \(-0.505907\pi\)
0.999828 + 0.0185548i \(0.00590653\pi\)
\(480\) 7.46807 34.2748i 0.340869 1.56442i
\(481\) 2.55547 + 2.55547i 0.116519 + 0.116519i
\(482\) −8.76044 30.7725i −0.399027 1.40165i
\(483\) 23.6640 27.1065i 1.07675 1.23339i
\(484\) 19.8272 + 9.02256i 0.901237 + 0.410116i
\(485\) 15.5558 + 51.2806i 0.706352 + 2.32853i
\(486\) 18.6517 + 11.7522i 0.846059 + 0.533090i
\(487\) 19.8818 13.2846i 0.900929 0.601982i −0.0165072 0.999864i \(-0.505255\pi\)
0.917437 + 0.397882i \(0.130255\pi\)
\(488\) −5.50808 + 3.28315i −0.249339 + 0.148621i
\(489\) −11.3018 8.06036i −0.511087 0.364502i
\(490\) −66.6978 14.4622i −3.01310 0.653337i
\(491\) −1.65338 + 16.7870i −0.0746158 + 0.757587i 0.882968 + 0.469433i \(0.155542\pi\)
−0.957584 + 0.288154i \(0.906958\pi\)
\(492\) 23.9756 + 22.4277i 1.08091 + 1.01112i
\(493\) 5.05837 + 1.53444i 0.227818 + 0.0691077i
\(494\) 3.03795 + 2.58177i 0.136684 + 0.116159i
\(495\) −3.34044 + 1.15072i −0.150141 + 0.0517210i
\(496\) −22.5545 + 7.57434i −1.01273 + 0.340098i
\(497\) 50.0082 + 20.7141i 2.24317 + 0.929153i
\(498\) 11.7788 5.59165i 0.527819 0.250568i
\(499\) −9.18346 17.1810i −0.411108 0.769129i 0.588105 0.808784i \(-0.299874\pi\)
−0.999213 + 0.0396552i \(0.987374\pi\)
\(500\) 20.0017 + 2.66644i 0.894503 + 0.119247i
\(501\) −22.5604 29.2647i −1.00792 1.30745i
\(502\) 1.40312 + 7.74712i 0.0626242 + 0.345771i
\(503\) 27.9259 5.55480i 1.24515 0.247676i 0.471831 0.881689i \(-0.343593\pi\)
0.773323 + 0.634013i \(0.218593\pi\)
\(504\) −14.1857 35.6828i −0.631883 1.58944i
\(505\) 5.92577 29.7909i 0.263693 1.32568i
\(506\) −1.53578 + 1.48391i −0.0682740 + 0.0659678i
\(507\) 17.7526 + 10.1963i 0.788421 + 0.452832i
\(508\) −22.7776 5.35013i −1.01059 0.237374i
\(509\) −3.39723 34.4926i −0.150579 1.52886i −0.712503 0.701669i \(-0.752438\pi\)
0.561923 0.827189i \(-0.310062\pi\)
\(510\) −21.4508 28.8364i −0.949858 1.27690i
\(511\) 54.9156i 2.42932i
\(512\) −21.9084 5.65880i −0.968224 0.250086i
\(513\) −13.4273 1.23100i −0.592828 0.0543498i
\(514\) −4.56636 5.76320i −0.201413 0.254204i
\(515\) −48.9446 + 4.82062i −2.15676 + 0.212422i
\(516\) −10.7154 + 40.0898i −0.471717 + 1.76486i
\(517\) −0.0665845 + 0.124571i −0.00292838 + 0.00547862i
\(518\) 14.7933 + 15.3104i 0.649980 + 0.672702i
\(519\) −7.20580 + 31.2216i −0.316300 + 1.37047i
\(520\) −4.67934 9.95652i −0.205203 0.436622i
\(521\) 6.61779 + 33.2699i 0.289930 + 1.45758i 0.801323 + 0.598232i \(0.204130\pi\)
−0.511393 + 0.859347i \(0.670870\pi\)
\(522\) −5.43413 + 0.645452i −0.237845 + 0.0282507i
\(523\) 13.6608 + 16.6457i 0.597345 + 0.727867i 0.980653 0.195754i \(-0.0627154\pi\)
−0.383308 + 0.923620i \(0.625215\pi\)
\(524\) −0.825697 + 6.19379i −0.0360707 + 0.270577i
\(525\) 54.8988 27.2269i 2.39598 1.18828i
\(526\) 12.0543 + 23.5149i 0.525594 + 1.02530i
\(527\) −9.32840 + 22.5208i −0.406352 + 0.981020i
\(528\) 0.659356 + 2.18152i 0.0286948 + 0.0949385i
\(529\) −0.736956 1.77917i −0.0320416 0.0773552i
\(530\) 17.4154 20.4926i 0.756476 0.890140i
\(531\) 39.2738 + 14.5801i 1.70434 + 0.632724i
\(532\) 17.6325 + 15.5141i 0.764464 + 0.672624i
\(533\) 10.2465 + 1.00919i 0.443826 + 0.0437130i
\(534\) −4.07350 + 16.3619i −0.176277 + 0.708050i
\(535\) 32.9297 49.2827i 1.42367 2.13068i
\(536\) −3.46328 5.81029i −0.149591 0.250967i
\(537\) −3.38672 + 2.11658i −0.146148 + 0.0913372i
\(538\) −25.5033 11.0808i −1.09952 0.477725i
\(539\) 4.24295 1.28709i 0.182757 0.0554387i
\(540\) 32.3170 + 18.4381i 1.39070 + 0.793451i
\(541\) −13.3358 + 16.2498i −0.573352 + 0.698632i −0.976258 0.216609i \(-0.930500\pi\)
0.402906 + 0.915241i \(0.368000\pi\)
\(542\) 11.4762 3.26710i 0.492946 0.140334i
\(543\) −4.54116 + 4.27249i −0.194880 + 0.183350i
\(544\) −19.1160 + 13.1156i −0.819593 + 0.562325i
\(545\) −5.05966 5.05966i −0.216732 0.216732i
\(546\) −10.3381 6.17628i −0.442431 0.264320i
\(547\) −10.8543 + 13.2260i −0.464097 + 0.565504i −0.951490 0.307679i \(-0.900448\pi\)
0.487393 + 0.873183i \(0.337948\pi\)
\(548\) 27.3504 + 0.939972i 1.16835 + 0.0401536i
\(549\) −1.57421 6.61662i −0.0671858 0.282390i
\(550\) −3.38350 + 1.33388i −0.144273 + 0.0568766i
\(551\) 2.78295 1.85951i 0.118558 0.0792177i
\(552\) 22.4140 + 1.84221i 0.954004 + 0.0784097i
\(553\) −15.4026 + 23.0516i −0.654985 + 0.980255i
\(554\) −5.50481 8.55300i −0.233877 0.363382i
\(555\) −20.4582 2.64654i −0.868400 0.112339i
\(556\) 19.2849 9.47122i 0.817861 0.401669i
\(557\) 2.99596 + 0.908813i 0.126943 + 0.0385077i 0.353117 0.935579i \(-0.385122\pi\)
−0.226174 + 0.974087i \(0.572622\pi\)
\(558\) −0.505909 25.2305i −0.0214168 1.06809i
\(559\) 4.98029 + 12.0235i 0.210644 + 0.508539i
\(560\) −26.5541 59.1179i −1.12212 2.49819i
\(561\) 2.12896 + 0.958849i 0.0898847 + 0.0404826i
\(562\) −0.319507 + 0.991628i −0.0134776 + 0.0418293i
\(563\) −4.03703 7.55275i −0.170140 0.318310i 0.782371 0.622812i \(-0.214010\pi\)
−0.952512 + 0.304502i \(0.901510\pi\)
\(564\) 1.44843 0.338675i 0.0609899 0.0142608i
\(565\) −34.9808 42.6243i −1.47165 1.79322i
\(566\) −3.54387 2.45702i −0.148960 0.103276i
\(567\) 40.6157 3.02951i 1.70570 0.127227i
\(568\) 8.14003 + 32.8371i 0.341548 + 1.37781i
\(569\) 7.01472 35.2654i 0.294073 1.47840i −0.497573 0.867422i \(-0.665775\pi\)
0.791646 0.610980i \(-0.209225\pi\)
\(570\) −22.7309 1.08398i −0.952093 0.0454031i
\(571\) −13.6697 + 25.5743i −0.572061 + 1.07025i 0.414988 + 0.909827i \(0.363786\pi\)
−0.987048 + 0.160423i \(0.948714\pi\)
\(572\) 0.580282 + 0.417257i 0.0242628 + 0.0174464i
\(573\) 31.4292 2.13103i 1.31297 0.0890249i
\(574\) 60.2504 + 6.98099i 2.51480 + 0.291381i
\(575\) 35.8901i 1.49672i
\(576\) 12.6815 20.3759i 0.528396 0.848998i
\(577\) 39.3553i 1.63838i −0.573520 0.819192i \(-0.694423\pi\)
0.573520 0.819192i \(-0.305577\pi\)
\(578\) 0.0333648 0.287960i 0.00138779 0.0119775i
\(579\) −3.33229 + 0.225942i −0.138485 + 0.00938983i
\(580\) −9.11493 + 1.48963i −0.378477 + 0.0618535i
\(581\) 11.3553 21.2443i 0.471097 0.881361i
\(582\) −1.74641 + 36.6217i −0.0723908 + 1.51802i
\(583\) −0.340857 + 1.71360i −0.0141169 + 0.0709702i
\(584\) 27.6183 20.3787i 1.14286 0.843277i
\(585\) 11.5618 1.57512i 0.478023 0.0651231i
\(586\) −7.71323 + 11.1251i −0.318631 + 0.459575i
\(587\) 4.03346 + 4.91478i 0.166479 + 0.202855i 0.849567 0.527481i \(-0.176863\pi\)
−0.683088 + 0.730336i \(0.739363\pi\)
\(588\) −39.6672 24.6325i −1.63585 1.01583i
\(589\) 7.27591 + 13.6123i 0.299799 + 0.560884i
\(590\) 67.2971 + 21.6834i 2.77058 + 0.892693i
\(591\) −0.146565 0.0660108i −0.00602890 0.00271532i
\(592\) −2.21031 + 13.1215i −0.0908433 + 0.539289i
\(593\) −4.11166 9.92643i −0.168846 0.407630i 0.816695 0.577070i \(-0.195804\pi\)
−0.985540 + 0.169440i \(0.945804\pi\)
\(594\) −2.41710 0.0252008i −0.0991748 0.00103400i
\(595\) −63.5393 19.2744i −2.60486 0.790174i
\(596\) −3.90613 + 11.4458i −0.160001 + 0.468837i
\(597\) 1.13601 + 0.146959i 0.0464939 + 0.00601462i
\(598\) 5.93086 3.81717i 0.242531 0.156096i
\(599\) −0.0342898 + 0.0513183i −0.00140104 + 0.00209681i −0.832169 0.554521i \(-0.812901\pi\)
0.830768 + 0.556618i \(0.187901\pi\)
\(600\) 34.0656 + 17.5063i 1.39072 + 0.714690i
\(601\) −21.0456 + 14.0622i −0.858468 + 0.573610i −0.905050 0.425304i \(-0.860167\pi\)
0.0465821 + 0.998914i \(0.485167\pi\)
\(602\) 28.1176 + 71.3229i 1.14599 + 2.90691i
\(603\) 6.97965 1.66058i 0.284233 0.0676242i
\(604\) 17.2692 + 18.4985i 0.702676 + 0.752694i
\(605\) −24.7383 + 30.1437i −1.00575 + 1.22551i
\(606\) 10.6581 17.8401i 0.432958 0.724704i
\(607\) −10.8074 10.8074i −0.438660 0.438660i 0.452901 0.891561i \(-0.350389\pi\)
−0.891561 + 0.452901i \(0.850389\pi\)
\(608\) −1.25917 + 14.6250i −0.0510661 + 0.593120i
\(609\) −7.36337 + 6.92772i −0.298379 + 0.280726i
\(610\) −3.14296 11.0402i −0.127255 0.447003i
\(611\) 0.295945 0.360610i 0.0119727 0.0145887i
\(612\) −7.20536 23.5096i −0.291259 0.950321i
\(613\) 41.6725 12.6412i 1.68314 0.510574i 0.703389 0.710806i \(-0.251669\pi\)
0.979749 + 0.200231i \(0.0641694\pi\)
\(614\) 3.22345 7.41904i 0.130088 0.299408i
\(615\) −49.8378 + 31.1469i −2.00965 + 1.25596i
\(616\) 3.37567 + 2.51638i 0.136010 + 0.101388i
\(617\) −15.8630 + 23.7407i −0.638622 + 0.955765i 0.361108 + 0.932524i \(0.382399\pi\)
−0.999730 + 0.0232410i \(0.992601\pi\)
\(618\) −32.6518 8.12904i −1.31345 0.326998i
\(619\) −28.2910 2.78643i −1.13711 0.111996i −0.488110 0.872782i \(-0.662314\pi\)
−0.649003 + 0.760786i \(0.724814\pi\)
\(620\) −2.71634 42.5044i −0.109091 1.70702i
\(621\) −8.97946 + 22.0992i −0.360333 + 0.886810i
\(622\) −21.9865 18.6850i −0.881577 0.749199i
\(623\) 11.9210 + 28.7799i 0.477605 + 1.15304i
\(624\) −0.730199 7.49126i −0.0292314 0.299890i
\(625\) 1.13588 2.74225i 0.0454351 0.109690i
\(626\) −28.7032 + 14.7140i −1.14721 + 0.588090i
\(627\) 1.32450 0.656882i 0.0528955 0.0262333i
\(628\) 6.05204 + 7.91384i 0.241503 + 0.315797i
\(629\) 8.64863 + 10.5384i 0.344843 + 0.420193i
\(630\) 68.2592 8.10765i 2.71951 0.323017i
\(631\) −0.0560685 0.281876i −0.00223205 0.0112213i 0.979653 0.200698i \(-0.0643209\pi\)
−0.981885 + 0.189476i \(0.939321\pi\)
\(632\) −17.3090 + 0.807936i −0.688514 + 0.0321379i
\(633\) −2.62934 + 11.3925i −0.104507 + 0.452811i
\(634\) 15.2724 14.7565i 0.606543 0.586055i
\(635\) 19.7441 36.9386i 0.783520 1.46586i
\(636\) 15.9287 9.20964i 0.631615 0.365186i
\(637\) −14.5732 + 1.43533i −0.577409 + 0.0568698i
\(638\) 0.470298 0.372631i 0.0186193 0.0147526i
\(639\) −35.8166 2.18569i −1.41688 0.0864644i
\(640\) 19.8778 35.2929i 0.785738 1.39507i
\(641\) 8.20709i 0.324160i −0.986778 0.162080i \(-0.948180\pi\)
0.986778 0.162080i \(-0.0518203\pi\)
\(642\) 32.5370 24.2036i 1.28413 0.955239i
\(643\) 2.25601 + 22.9056i 0.0889683 + 0.903311i 0.931276 + 0.364314i \(0.118696\pi\)
−0.842308 + 0.538997i \(0.818804\pi\)
\(644\) 35.3193 21.8832i 1.39178 0.862320i
\(645\) −64.4159 36.9975i −2.53637 1.45677i
\(646\) 10.4502 + 10.8155i 0.411157 + 0.425530i
\(647\) 2.25593 11.3413i 0.0886898 0.445873i −0.910767 0.412920i \(-0.864509\pi\)
0.999457 0.0329532i \(-0.0104912\pi\)
\(648\) 16.5958 + 19.3024i 0.651943 + 0.758268i
\(649\) −4.50520 + 0.896139i −0.176844 + 0.0351765i
\(650\) 11.8193 2.14065i 0.463592 0.0839634i
\(651\) −28.4650 36.9240i −1.11563 1.44717i
\(652\) −9.73722 12.7327i −0.381339 0.498651i
\(653\) 16.6696 + 31.1866i 0.652331 + 1.22043i 0.962896 + 0.269874i \(0.0869819\pi\)
−0.310564 + 0.950552i \(0.600518\pi\)
\(654\) −2.09947 4.42251i −0.0820956 0.172934i
\(655\) −10.3342 4.28058i −0.403792 0.167256i
\(656\) 18.8475 + 32.8920i 0.735873 + 1.28422i
\(657\) 11.8570 + 34.4200i 0.462587 + 1.34285i
\(658\) 1.77962 2.09407i 0.0693769 0.0816354i
\(659\) 23.5774 + 7.15214i 0.918447 + 0.278608i 0.713899 0.700249i \(-0.246928\pi\)
0.204548 + 0.978857i \(0.434428\pi\)
\(660\) −4.07738 + 0.136015i −0.158712 + 0.00529438i
\(661\) 2.33114 23.6684i 0.0906707 0.920595i −0.837002 0.547200i \(-0.815694\pi\)
0.927673 0.373395i \(-0.121806\pi\)
\(662\) −3.25501 + 15.0116i −0.126509 + 0.583444i
\(663\) −6.27835 4.47765i −0.243831 0.173898i
\(664\) 14.8981 2.17273i 0.578158 0.0843181i
\(665\) −34.9572 + 23.3577i −1.35558 + 0.905771i
\(666\) −12.5779 6.40219i −0.487383 0.248080i
\(667\) −1.71884 5.66626i −0.0665538 0.219398i
\(668\) −14.9646 39.9573i −0.578997 1.54599i
\(669\) −11.5679 + 13.2507i −0.447241 + 0.512302i
\(670\) 11.6459 3.31541i 0.449920 0.128085i
\(671\) 0.527324 + 0.527324i 0.0203571 + 0.0203571i
\(672\) −3.54292 44.1978i −0.136671 1.70497i
\(673\) 7.92242 7.92242i 0.305387 0.305387i −0.537730 0.843117i \(-0.680718\pi\)
0.843117 + 0.537730i \(0.180718\pi\)
\(674\) −8.08230 + 14.5156i −0.311319 + 0.559118i
\(675\) −28.5308 + 28.9187i −1.09815 + 1.11308i
\(676\) 16.1316 + 17.2799i 0.620448 + 0.664613i
\(677\) −18.5542 + 5.62836i −0.713097 + 0.216316i −0.625931 0.779878i \(-0.715281\pi\)
−0.0871657 + 0.996194i \(0.527781\pi\)
\(678\) −12.7604 35.5020i −0.490058 1.36345i
\(679\) 37.6315 + 56.3195i 1.44416 + 2.16134i
\(680\) −13.8853 39.1080i −0.532478 1.49972i
\(681\) 16.8712 + 12.0324i 0.646506 + 0.461081i
\(682\) 1.49753 + 2.32677i 0.0573436 + 0.0890965i
\(683\) 34.7930 + 3.42682i 1.33132 + 0.131123i 0.738523 0.674229i \(-0.235524\pi\)
0.592796 + 0.805352i \(0.298024\pi\)
\(684\) −14.4014 5.91686i −0.550651 0.226237i
\(685\) −14.2208 + 46.8798i −0.543350 + 1.79119i
\(686\) −41.3297 + 3.35495i −1.57798 + 0.128093i
\(687\) −7.96501 21.0189i −0.303884 0.801922i
\(688\) −25.4358 + 40.6084i −0.969730 + 1.54818i
\(689\) 2.20822 5.33112i 0.0841265 0.203099i
\(690\) −13.5084 + 37.9250i −0.514256 + 1.44378i
\(691\) −37.9744 + 20.2977i −1.44461 + 0.772162i −0.992781 0.119940i \(-0.961730\pi\)
−0.451833 + 0.892102i \(0.649230\pi\)
\(692\) −18.5518 + 32.0121i −0.705235 + 1.21692i
\(693\) −3.61826 + 2.61754i −0.137446 + 0.0994319i
\(694\) 2.35785 + 1.63473i 0.0895027 + 0.0620536i
\(695\) 7.50334 + 37.7218i 0.284618 + 1.43087i
\(696\) −6.21660 1.13239i −0.235640 0.0429232i
\(697\) 38.0934 + 7.57724i 1.44289 + 0.287008i
\(698\) −25.0123 0.429682i −0.946731 0.0162637i
\(699\) −11.8525 6.80754i −0.448304 0.257485i
\(700\) 69.8331 11.4126i 2.63944 0.431357i
\(701\) −12.5607 + 1.23712i −0.474411 + 0.0467254i −0.332398 0.943139i \(-0.607858\pi\)
−0.142013 + 0.989865i \(0.545358\pi\)
\(702\) 7.81327 + 1.63902i 0.294893 + 0.0618607i
\(703\) 8.63220 0.325570
\(704\) −0.0128630 + 2.63152i −0.000484792 + 0.0991790i
\(705\) −0.0811345 + 2.66156i −0.00305570 + 0.100240i
\(706\) 2.42725 20.9488i 0.0913509 0.788417i
\(707\) −3.76319 38.2083i −0.141529 1.43697i
\(708\) 38.3957 + 29.4242i 1.44300 + 1.10583i
\(709\) 15.2850 + 8.17003i 0.574042 + 0.306832i 0.732755 0.680493i \(-0.238234\pi\)
−0.158713 + 0.987325i \(0.550734\pi\)
\(710\) −60.5525 1.04022i −2.27249 0.0390388i
\(711\) 4.67687 17.7739i 0.175396 0.666574i
\(712\) −10.0503 + 16.6753i −0.376651 + 0.624935i
\(713\) 26.7810 5.32708i 1.00296 0.199501i
\(714\) −36.5268 27.0089i −1.36698 1.01078i
\(715\) −0.989020 + 0.811668i −0.0369873 + 0.0303547i
\(716\) −4.45635 + 1.18630i −0.166542 + 0.0443340i
\(717\) 16.0394 7.95466i 0.599001 0.297072i
\(718\) 29.5945 + 9.53549i 1.10446 + 0.355861i
\(719\) 8.35248 + 3.45971i 0.311495 + 0.129025i 0.532954 0.846144i \(-0.321082\pi\)
−0.221459 + 0.975170i \(0.571082\pi\)
\(720\) 29.4080 + 31.3205i 1.09597 + 1.16725i
\(721\) −57.4330 + 23.7895i −2.13891 + 0.885968i
\(722\) −17.2905 + 1.40356i −0.643484 + 0.0522350i
\(723\) 37.1346 + 12.5124i 1.38105 + 0.465340i
\(724\) −6.46236 + 3.17380i −0.240172 + 0.117953i
\(725\) 0.988410 10.0355i 0.0367086 0.372709i
\(726\) −22.8639 + 13.7488i −0.848560 + 0.510265i
\(727\) −24.3229 16.2521i −0.902088 0.602756i 0.0156782 0.999877i \(-0.495009\pi\)
−0.917766 + 0.397121i \(0.870009\pi\)
\(728\) −9.31319 10.3261i −0.345170 0.382712i
\(729\) −24.8030 + 10.6683i −0.918628 + 0.395123i
\(730\) 22.5344 + 57.1606i 0.834035 + 2.11561i
\(731\) 14.2509 + 46.9789i 0.527088 + 1.73758i
\(732\) 0.508774 7.83698i 0.0188048 0.289663i
\(733\) 3.47319 + 2.85037i 0.128285 + 0.105281i 0.696348 0.717704i \(-0.254807\pi\)
−0.568063 + 0.822985i \(0.692307\pi\)
\(734\) −12.2231 + 21.9523i −0.451162 + 0.810273i
\(735\) 60.8778 57.2760i 2.24551 2.11266i
\(736\) 24.1123 + 9.64223i 0.888791 + 0.355417i
\(737\) −0.556256 + 0.556256i −0.0204900 + 0.0204900i
\(738\) −39.2710 + 8.63337i −1.44559 + 0.317799i
\(739\) −17.2549 14.1607i −0.634733 0.520912i 0.261095 0.965313i \(-0.415916\pi\)
−0.895828 + 0.444402i \(0.853416\pi\)
\(740\) −21.6806 9.86597i −0.796996 0.362680i
\(741\) −4.71359 + 1.27438i −0.173158 + 0.0468155i
\(742\) 13.5460 31.1771i 0.497288 1.14455i
\(743\) 12.8609 + 19.2477i 0.471821 + 0.706129i 0.988696 0.149931i \(-0.0479051\pi\)
−0.516876 + 0.856060i \(0.672905\pi\)
\(744\) 8.00682 28.0179i 0.293544 1.02719i
\(745\) −18.0010 12.0279i −0.659504 0.440667i
\(746\) 0.745858 3.43979i 0.0273078 0.125940i
\(747\) −2.53033 + 15.7672i −0.0925800 + 0.576893i
\(748\) 2.02416 + 1.78098i 0.0740107 + 0.0651193i
\(749\) 21.7479 71.6932i 0.794651 2.61961i
\(750\) −16.5704 + 18.3355i −0.605065 + 0.669516i
\(751\) −21.6094 + 8.95090i −0.788538 + 0.326623i −0.740355 0.672216i \(-0.765343\pi\)
−0.0481822 + 0.998839i \(0.515343\pi\)
\(752\) 1.71356 + 0.117922i 0.0624871 + 0.00430017i
\(753\) −8.79204 3.95980i −0.320400 0.144303i
\(754\) −1.76349 + 0.904010i −0.0642226 + 0.0329221i
\(755\) −39.9525 + 21.3551i −1.45402 + 0.777190i
\(756\) 45.8548 + 10.4445i 1.66772 + 0.379862i
\(757\) 9.66791 7.93425i 0.351386 0.288375i −0.442097 0.896967i \(-0.645765\pi\)
0.793483 + 0.608592i \(0.208265\pi\)
\(758\) 21.7622 3.94146i 0.790440 0.143160i
\(759\) −0.431863 2.57962i −0.0156756 0.0936342i
\(760\) −24.7194 8.91297i −0.896669 0.323307i
\(761\) 17.2014 + 3.42156i 0.623549 + 0.124032i 0.496746 0.867896i \(-0.334528\pi\)
0.126804 + 0.991928i \(0.459528\pi\)
\(762\) 21.2050 19.2746i 0.768176 0.698246i
\(763\) −7.97647 4.26351i −0.288768 0.154350i
\(764\) 35.4110 + 8.31753i 1.28112 + 0.300918i
\(765\) 43.9867 1.63820i 1.59034 0.0592293i
\(766\) 17.4406 13.8187i 0.630156 0.499291i
\(767\) 15.1707 0.547783
\(768\) 20.9134 18.1833i 0.754646 0.656132i
\(769\) 17.4587 0.629576 0.314788 0.949162i \(-0.398067\pi\)
0.314788 + 0.949162i \(0.398067\pi\)
\(770\) −5.90751 + 4.68070i −0.212892 + 0.168681i
\(771\) 8.98488 0.609210i 0.323583 0.0219402i
\(772\) −3.75445 0.881867i −0.135126 0.0317391i
\(773\) −41.9963 22.4475i −1.51050 0.807381i −0.511840