Properties

Label 576.2.bm.a.205.18
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.18
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17666 - 0.784525i) q^{2} +(-1.47544 - 0.907238i) q^{3} +(0.769042 + 1.84623i) q^{4} +(-2.36898 - 2.70130i) q^{5} +(1.02433 + 2.22503i) q^{6} +(-4.85600 - 0.639304i) q^{7} +(0.543516 - 2.77571i) q^{8} +(1.35384 + 2.67715i) q^{9} +O(q^{10})\) \(q+(-1.17666 - 0.784525i) q^{2} +(-1.47544 - 0.907238i) q^{3} +(0.769042 + 1.84623i) q^{4} +(-2.36898 - 2.70130i) q^{5} +(1.02433 + 2.22503i) q^{6} +(-4.85600 - 0.639304i) q^{7} +(0.543516 - 2.77571i) q^{8} +(1.35384 + 2.67715i) q^{9} +(0.668237 + 5.03703i) q^{10} +(-2.39238 - 4.85126i) q^{11} +(0.540298 - 3.42171i) q^{12} +(-1.38803 - 4.08900i) q^{13} +(5.21229 + 4.56189i) q^{14} +(1.04456 + 6.13484i) q^{15} +(-2.81715 + 2.83966i) q^{16} +(2.53276 + 2.53276i) q^{17} +(0.507286 - 4.21220i) q^{18} +(-0.255110 + 1.28253i) q^{19} +(3.16539 - 6.45110i) q^{20} +(6.58473 + 5.34880i) q^{21} +(-0.990927 + 7.58515i) q^{22} +(-0.535956 - 4.07099i) q^{23} +(-3.32016 + 3.60230i) q^{24} +(-1.03235 + 7.84144i) q^{25} +(-1.57469 + 5.90029i) q^{26} +(0.431307 - 5.17822i) q^{27} +(-2.55416 - 9.45696i) q^{28} +(-1.21586 + 0.0796918i) q^{29} +(3.58384 - 8.03808i) q^{30} +(0.338001 - 0.195145i) q^{31} +(5.54260 - 1.13118i) q^{32} +(-0.871444 + 9.32820i) q^{33} +(-0.993175 - 4.96719i) q^{34} +(9.77681 + 14.6320i) q^{35} +(-3.90148 + 4.55834i) q^{36} +(-0.208376 - 1.04758i) q^{37} +(1.30635 - 1.30895i) q^{38} +(-1.66175 + 7.29234i) q^{39} +(-8.78563 + 5.10741i) q^{40} +(-0.197381 - 1.49926i) q^{41} +(-3.55170 - 11.4596i) q^{42} +(-1.18510 + 0.584427i) q^{43} +(7.11672 - 8.14771i) q^{44} +(4.02458 - 9.99924i) q^{45} +(-2.56315 + 5.21062i) q^{46} +(1.28250 - 0.343646i) q^{47} +(6.73278 - 1.63392i) q^{48} +(16.4105 + 4.39719i) q^{49} +(7.36652 - 8.41679i) q^{50} +(-1.43911 - 6.03474i) q^{51} +(6.48179 - 5.70724i) q^{52} +(1.84574 - 2.76234i) q^{53} +(-4.56994 + 5.75462i) q^{54} +(-7.43724 + 17.9551i) q^{55} +(-4.41384 + 13.1314i) q^{56} +(1.53996 - 1.66084i) q^{57} +(1.49317 + 0.860103i) q^{58} +(6.59505 + 7.52021i) q^{59} +(-10.5230 + 6.64645i) q^{60} +(0.245506 + 3.74569i) q^{61} +(-0.550807 - 0.0355514i) q^{62} +(-4.86272 - 13.8657i) q^{63} +(-7.40918 - 3.01729i) q^{64} +(-7.75742 + 13.4362i) q^{65} +(8.34359 - 10.2924i) q^{66} +(-2.51564 - 1.24057i) q^{67} +(-2.72826 + 6.62385i) q^{68} +(-2.90259 + 6.49273i) q^{69} +(-0.0247617 - 24.8870i) q^{70} +(-5.41313 - 13.0685i) q^{71} +(8.16683 - 2.30279i) q^{72} +(5.64462 - 13.6273i) q^{73} +(-0.576664 + 1.39612i) q^{74} +(8.63722 - 10.6330i) q^{75} +(-2.56403 + 0.515323i) q^{76} +(8.51595 + 25.0872i) q^{77} +(7.67633 - 7.27690i) q^{78} +(1.16935 + 4.36408i) q^{79} +(14.3446 + 0.882872i) q^{80} +(-5.33425 + 7.24885i) q^{81} +(-0.943954 + 1.91896i) q^{82} +(-2.73123 - 2.39522i) q^{83} +(-4.81120 + 16.2704i) q^{84} +(0.841695 - 12.8418i) q^{85} +(1.85295 + 0.242071i) q^{86} +(1.86623 + 0.985496i) q^{87} +(-14.7660 + 4.00382i) q^{88} +(-2.03872 + 0.844465i) q^{89} +(-12.5802 + 8.60829i) q^{90} +(4.12615 + 20.7436i) q^{91} +(7.10382 - 4.12026i) q^{92} +(-0.675742 - 0.0187230i) q^{93} +(-1.77867 - 0.601802i) q^{94} +(4.06884 - 2.34915i) q^{95} +(-9.20402 - 3.35947i) q^{96} +(8.16085 + 4.71167i) q^{97} +(-15.8599 - 18.0485i) q^{98} +(9.74866 - 12.9726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17666 0.784525i −0.832022 0.554743i
\(3\) −1.47544 0.907238i −0.851845 0.523794i
\(4\) 0.769042 + 1.84623i 0.384521 + 0.923116i
\(5\) −2.36898 2.70130i −1.05944 1.20806i −0.977393 0.211431i \(-0.932188\pi\)
−0.0820471 0.996628i \(-0.526146\pi\)
\(6\) 1.02433 + 2.22503i 0.418183 + 0.908363i
\(7\) −4.85600 0.639304i −1.83540 0.241634i −0.868298 0.496042i \(-0.834786\pi\)
−0.967097 + 0.254408i \(0.918119\pi\)
\(8\) 0.543516 2.77571i 0.192162 0.981363i
\(9\) 1.35384 + 2.67715i 0.451279 + 0.892383i
\(10\) 0.668237 + 5.03703i 0.211315 + 1.59285i
\(11\) −2.39238 4.85126i −0.721329 1.46271i −0.879798 0.475347i \(-0.842323\pi\)
0.158469 0.987364i \(-0.449344\pi\)
\(12\) 0.540298 3.42171i 0.155971 0.987762i
\(13\) −1.38803 4.08900i −0.384970 1.13408i −0.950865 0.309607i \(-0.899802\pi\)
0.565895 0.824478i \(-0.308531\pi\)
\(14\) 5.21229 + 4.56189i 1.39304 + 1.21922i
\(15\) 1.04456 + 6.13484i 0.269704 + 1.58401i
\(16\) −2.81715 + 2.83966i −0.704287 + 0.709915i
\(17\) 2.53276 + 2.53276i 0.614283 + 0.614283i 0.944059 0.329776i \(-0.106973\pi\)
−0.329776 + 0.944059i \(0.606973\pi\)
\(18\) 0.507286 4.21220i 0.119569 0.992826i
\(19\) −0.255110 + 1.28253i −0.0585263 + 0.294231i −0.998952 0.0457674i \(-0.985427\pi\)
0.940426 + 0.339999i \(0.110427\pi\)
\(20\) 3.16539 6.45110i 0.707802 1.44251i
\(21\) 6.58473 + 5.34880i 1.43691 + 1.16720i
\(22\) −0.990927 + 7.58515i −0.211266 + 1.61716i
\(23\) −0.535956 4.07099i −0.111754 0.848859i −0.951881 0.306469i \(-0.900853\pi\)
0.840126 0.542391i \(-0.182481\pi\)
\(24\) −3.32016 + 3.60230i −0.677725 + 0.735316i
\(25\) −1.03235 + 7.84144i −0.206469 + 1.56829i
\(26\) −1.57469 + 5.90029i −0.308822 + 1.15714i
\(27\) 0.431307 5.17822i 0.0830050 0.996549i
\(28\) −2.55416 9.45696i −0.482692 1.78720i
\(29\) −1.21586 + 0.0796918i −0.225780 + 0.0147984i −0.177873 0.984053i \(-0.556922\pi\)
−0.0479067 + 0.998852i \(0.515255\pi\)
\(30\) 3.58384 8.03808i 0.654317 1.46755i
\(31\) 0.338001 0.195145i 0.0607067 0.0350490i −0.469339 0.883018i \(-0.655508\pi\)
0.530046 + 0.847969i \(0.322175\pi\)
\(32\) 5.54260 1.13118i 0.979803 0.199967i
\(33\) −0.871444 + 9.32820i −0.151699 + 1.62383i
\(34\) −0.993175 4.96719i −0.170328 0.851867i
\(35\) 9.77681 + 14.6320i 1.65258 + 2.47326i
\(36\) −3.90148 + 4.55834i −0.650247 + 0.759723i
\(37\) −0.208376 1.04758i −0.0342569 0.172221i 0.959869 0.280447i \(-0.0904828\pi\)
−0.994126 + 0.108226i \(0.965483\pi\)
\(38\) 1.30635 1.30895i 0.211918 0.212340i
\(39\) −1.66175 + 7.29234i −0.266092 + 1.16771i
\(40\) −8.78563 + 5.10741i −1.38913 + 0.807552i
\(41\) −0.197381 1.49926i −0.0308257 0.234145i 0.969096 0.246685i \(-0.0793414\pi\)
−0.999921 + 0.0125407i \(0.996008\pi\)
\(42\) −3.55170 11.4596i −0.548039 1.76825i
\(43\) −1.18510 + 0.584427i −0.180726 + 0.0891243i −0.530401 0.847747i \(-0.677959\pi\)
0.349675 + 0.936871i \(0.386292\pi\)
\(44\) 7.11672 8.14771i 1.07289 1.22831i
\(45\) 4.02458 9.99924i 0.599948 1.49060i
\(46\) −2.56315 + 5.21062i −0.377916 + 0.768265i
\(47\) 1.28250 0.343646i 0.187072 0.0501259i −0.164067 0.986449i \(-0.552461\pi\)
0.351139 + 0.936323i \(0.385795\pi\)
\(48\) 6.73278 1.63392i 0.971793 0.235836i
\(49\) 16.4105 + 4.39719i 2.34436 + 0.628170i
\(50\) 7.36652 8.41679i 1.04178 1.19031i
\(51\) −1.43911 6.03474i −0.201516 0.845032i
\(52\) 6.48179 5.70724i 0.898863 0.791451i
\(53\) 1.84574 2.76234i 0.253531 0.379436i −0.682771 0.730633i \(-0.739225\pi\)
0.936302 + 0.351197i \(0.114225\pi\)
\(54\) −4.56994 + 5.75462i −0.621890 + 0.783104i
\(55\) −7.43724 + 17.9551i −1.00284 + 2.42106i
\(56\) −4.41384 + 13.1314i −0.589824 + 1.75476i
\(57\) 1.53996 1.66084i 0.203972 0.219984i
\(58\) 1.49317 + 0.860103i 0.196063 + 0.112937i
\(59\) 6.59505 + 7.52021i 0.858602 + 0.979048i 0.999940 0.0109131i \(-0.00347381\pi\)
−0.141338 + 0.989961i \(0.545140\pi\)
\(60\) −10.5230 + 6.64645i −1.35852 + 0.858052i
\(61\) 0.245506 + 3.74569i 0.0314338 + 0.479587i 0.984335 + 0.176307i \(0.0564151\pi\)
−0.952902 + 0.303280i \(0.901918\pi\)
\(62\) −0.550807 0.0355514i −0.0699525 0.00451503i
\(63\) −4.86272 13.8657i −0.612646 1.74692i
\(64\) −7.40918 3.01729i −0.926148 0.377161i
\(65\) −7.75742 + 13.4362i −0.962190 + 1.66656i
\(66\) 8.34359 10.2924i 1.02703 1.26691i
\(67\) −2.51564 1.24057i −0.307334 0.151560i 0.282082 0.959390i \(-0.408975\pi\)
−0.589415 + 0.807830i \(0.700642\pi\)
\(68\) −2.72826 + 6.62385i −0.330850 + 0.803260i
\(69\) −2.90259 + 6.49273i −0.349430 + 0.781633i
\(70\) −0.0247617 24.8870i −0.00295959 2.97457i
\(71\) −5.41313 13.0685i −0.642421 1.55094i −0.823404 0.567455i \(-0.807928\pi\)
0.180984 0.983486i \(-0.442072\pi\)
\(72\) 8.16683 2.30279i 0.962470 0.271387i
\(73\) 5.64462 13.6273i 0.660653 1.59496i −0.136128 0.990691i \(-0.543466\pi\)
0.796782 0.604267i \(-0.206534\pi\)
\(74\) −0.576664 + 1.39612i −0.0670358 + 0.162295i
\(75\) 8.63722 10.6330i 0.997340 1.22779i
\(76\) −2.56403 + 0.515323i −0.294114 + 0.0591117i
\(77\) 8.51595 + 25.0872i 0.970483 + 2.85895i
\(78\) 7.67633 7.27690i 0.869173 0.823947i
\(79\) 1.16935 + 4.36408i 0.131562 + 0.490997i 0.999988 0.00482154i \(-0.00153475\pi\)
−0.868426 + 0.495819i \(0.834868\pi\)
\(80\) 14.3446 + 0.882872i 1.60377 + 0.0987081i
\(81\) −5.33425 + 7.24885i −0.592694 + 0.805428i
\(82\) −0.943954 + 1.91896i −0.104242 + 0.211914i
\(83\) −2.73123 2.39522i −0.299791 0.262910i 0.496213 0.868201i \(-0.334723\pi\)
−0.796004 + 0.605291i \(0.793057\pi\)
\(84\) −4.81120 + 16.2704i −0.524945 + 1.77525i
\(85\) 0.841695 12.8418i 0.0912947 1.39289i
\(86\) 1.85295 + 0.242071i 0.199809 + 0.0261032i
\(87\) 1.86623 + 0.985496i 0.200081 + 0.105656i
\(88\) −14.7660 + 4.00382i −1.57406 + 0.426809i
\(89\) −2.03872 + 0.844465i −0.216104 + 0.0895131i −0.488109 0.872783i \(-0.662313\pi\)
0.272005 + 0.962296i \(0.412313\pi\)
\(90\) −12.5802 + 8.60829i −1.32607 + 0.907394i
\(91\) 4.12615 + 20.7436i 0.432538 + 2.17452i
\(92\) 7.10382 4.12026i 0.740624 0.429567i
\(93\) −0.675742 0.0187230i −0.0700712 0.00194148i
\(94\) −1.77867 0.601802i −0.183455 0.0620712i
\(95\) 4.06884 2.34915i 0.417454 0.241017i
\(96\) −9.20402 3.35947i −0.939381 0.342874i
\(97\) 8.16085 + 4.71167i 0.828609 + 0.478398i 0.853376 0.521296i \(-0.174551\pi\)
−0.0247671 + 0.999693i \(0.507884\pi\)
\(98\) −15.8599 18.0485i −1.60209 1.82317i
\(99\) 9.74866 12.9726i 0.979777 1.30379i
\(100\) −15.2710 + 4.12445i −1.52710 + 0.412445i
\(101\) 6.48052 + 2.19984i 0.644835 + 0.218892i 0.624651 0.780904i \(-0.285241\pi\)
0.0201846 + 0.999796i \(0.493575\pi\)
\(102\) −3.04106 + 8.22983i −0.301110 + 0.814875i
\(103\) 1.20258 + 0.922770i 0.118494 + 0.0909233i 0.666308 0.745676i \(-0.267873\pi\)
−0.547815 + 0.836600i \(0.684540\pi\)
\(104\) −12.1043 + 1.63033i −1.18693 + 0.159867i
\(105\) −1.15035 30.4586i −0.112262 2.97245i
\(106\) −4.33892 + 1.80230i −0.421433 + 0.175055i
\(107\) −9.80136 6.54906i −0.947533 0.633121i −0.0172058 0.999852i \(-0.505477\pi\)
−0.930327 + 0.366731i \(0.880477\pi\)
\(108\) 9.89189 3.18598i 0.951848 0.306571i
\(109\) 0.113874 0.572484i 0.0109072 0.0548340i −0.974948 0.222431i \(-0.928601\pi\)
0.985856 + 0.167597i \(0.0536008\pi\)
\(110\) 22.8373 15.2923i 2.17745 1.45806i
\(111\) −0.642957 + 1.73469i −0.0610268 + 0.164649i
\(112\) 15.4955 11.9884i 1.46419 1.13280i
\(113\) −18.2269 4.88387i −1.71464 0.459436i −0.738085 0.674708i \(-0.764270\pi\)
−0.976554 + 0.215272i \(0.930936\pi\)
\(114\) −3.11497 + 0.746108i −0.291744 + 0.0698794i
\(115\) −9.72730 + 11.0919i −0.907076 + 1.03432i
\(116\) −1.08218 2.18348i −0.100478 0.202731i
\(117\) 9.06769 9.25180i 0.838309 0.855329i
\(118\) −1.86032 14.0227i −0.171256 1.29089i
\(119\) −10.6799 13.9183i −0.979021 1.27588i
\(120\) 17.5963 + 0.434986i 1.60631 + 0.0397086i
\(121\) −11.1149 + 14.4852i −1.01045 + 1.31684i
\(122\) 2.64971 4.60000i 0.239894 0.416464i
\(123\) −1.06896 + 2.39113i −0.0963848 + 0.215601i
\(124\) 0.620219 + 0.473953i 0.0556973 + 0.0425622i
\(125\) 8.69069 5.80693i 0.777319 0.519388i
\(126\) −5.15626 + 20.1301i −0.459356 + 1.79334i
\(127\) −9.58124 −0.850198 −0.425099 0.905147i \(-0.639761\pi\)
−0.425099 + 0.905147i \(0.639761\pi\)
\(128\) 6.35092 + 9.36300i 0.561348 + 0.827580i
\(129\) 2.27876 + 0.212883i 0.200633 + 0.0187433i
\(130\) 19.6689 9.72396i 1.72508 0.852848i
\(131\) −14.9922 7.39336i −1.30988 0.645960i −0.352775 0.935708i \(-0.614762\pi\)
−0.957103 + 0.289748i \(0.906429\pi\)
\(132\) −17.8922 + 5.56489i −1.55732 + 0.484361i
\(133\) 2.05874 6.06485i 0.178515 0.525889i
\(134\) 1.98678 + 3.43331i 0.171632 + 0.296593i
\(135\) −15.0097 + 11.1020i −1.29183 + 0.955509i
\(136\) 8.40680 5.65361i 0.720877 0.484793i
\(137\) −8.14499 10.6148i −0.695874 0.906880i 0.303063 0.952970i \(-0.401991\pi\)
−0.998937 + 0.0460900i \(0.985324\pi\)
\(138\) 8.50905 5.36257i 0.724339 0.456492i
\(139\) −13.6475 0.894507i −1.15757 0.0758711i −0.525508 0.850789i \(-0.676125\pi\)
−0.632062 + 0.774918i \(0.717791\pi\)
\(140\) −19.4953 + 29.3029i −1.64766 + 2.47655i
\(141\) −2.20402 0.656508i −0.185612 0.0552879i
\(142\) −3.88313 + 19.6238i −0.325865 + 1.64680i
\(143\) −16.5161 + 16.5161i −1.38115 + 1.38115i
\(144\) −11.4162 3.69748i −0.951346 0.308124i
\(145\) 3.09562 + 3.09562i 0.257077 + 0.257077i
\(146\) −17.3328 + 11.6063i −1.43447 + 0.960548i
\(147\) −20.2234 21.3761i −1.66800 1.76307i
\(148\) 1.77382 1.19034i 0.145807 0.0978457i
\(149\) 0.581893 8.87797i 0.0476705 0.727311i −0.905399 0.424561i \(-0.860428\pi\)
0.953070 0.302750i \(-0.0979048\pi\)
\(150\) −18.5049 + 5.73526i −1.51092 + 0.468282i
\(151\) −6.75471 + 5.18307i −0.549691 + 0.421792i −0.845909 0.533328i \(-0.820941\pi\)
0.296218 + 0.955120i \(0.404275\pi\)
\(152\) 3.42127 + 1.40519i 0.277501 + 0.113976i
\(153\) −3.35162 + 10.2095i −0.270963 + 0.825389i
\(154\) 9.66116 36.2000i 0.778519 2.91708i
\(155\) −1.32786 0.450748i −0.106656 0.0362050i
\(156\) −14.7413 + 2.54015i −1.18025 + 0.203375i
\(157\) 1.97598 4.00690i 0.157701 0.319785i −0.803655 0.595096i \(-0.797114\pi\)
0.961355 + 0.275311i \(0.0887807\pi\)
\(158\) 2.04780 6.05241i 0.162914 0.481504i
\(159\) −5.22937 + 2.40114i −0.414716 + 0.190423i
\(160\) −16.1860 12.2925i −1.27961 0.971807i
\(161\) 20.1114i 1.58500i
\(162\) 11.9635 4.34456i 0.939940 0.341341i
\(163\) 9.45773 + 14.1545i 0.740787 + 1.10867i 0.990117 + 0.140247i \(0.0447897\pi\)
−0.249330 + 0.968419i \(0.580210\pi\)
\(164\) 2.61618 1.51740i 0.204290 0.118489i
\(165\) 27.2627 19.7443i 2.12240 1.53709i
\(166\) 1.33461 + 4.96107i 0.103586 + 0.385054i
\(167\) 13.5916 + 10.4292i 1.05175 + 0.807037i 0.981686 0.190505i \(-0.0610126\pi\)
0.0700651 + 0.997542i \(0.477679\pi\)
\(168\) 18.4257 15.3702i 1.42157 1.18583i
\(169\) −4.47971 + 3.43740i −0.344593 + 0.264415i
\(170\) −11.0651 + 14.4500i −0.848653 + 1.10827i
\(171\) −3.77889 + 1.05336i −0.288979 + 0.0805527i
\(172\) −1.99038 1.73852i −0.151765 0.132561i
\(173\) 6.05608 + 5.31104i 0.460435 + 0.403791i 0.857892 0.513830i \(-0.171774\pi\)
−0.397457 + 0.917621i \(0.630107\pi\)
\(174\) −1.42276 2.62369i −0.107859 0.198902i
\(175\) 10.0261 37.4181i 0.757905 2.82854i
\(176\) 20.5156 + 6.87318i 1.54642 + 0.518086i
\(177\) −2.90797 17.0789i −0.218576 1.28373i
\(178\) 3.06138 + 0.605780i 0.229460 + 0.0454051i
\(179\) 10.0838 + 2.00580i 0.753701 + 0.149920i 0.556965 0.830536i \(-0.311966\pi\)
0.196736 + 0.980457i \(0.436966\pi\)
\(180\) 21.5560 0.259533i 1.60669 0.0193444i
\(181\) 2.77999 4.16056i 0.206635 0.309252i −0.713648 0.700505i \(-0.752958\pi\)
0.920283 + 0.391253i \(0.127958\pi\)
\(182\) 11.4188 27.6451i 0.846415 2.04919i
\(183\) 3.03601 5.74927i 0.224428 0.424998i
\(184\) −11.5912 0.724987i −0.854514 0.0534467i
\(185\) −2.33619 + 3.04458i −0.171760 + 0.223842i
\(186\) 0.780428 + 0.552167i 0.0572237 + 0.0404868i
\(187\) 6.22775 18.3464i 0.455418 1.34162i
\(188\) 1.62075 + 2.10352i 0.118205 + 0.153415i
\(189\) −5.40489 + 24.8697i −0.393148 + 1.80900i
\(190\) −6.63059 0.427967i −0.481034 0.0310480i
\(191\) 6.18316 10.7095i 0.447397 0.774915i −0.550818 0.834625i \(-0.685684\pi\)
0.998216 + 0.0597100i \(0.0190176\pi\)
\(192\) 8.19439 + 11.1737i 0.591379 + 0.806394i
\(193\) 3.39482 + 5.88000i 0.244364 + 0.423251i 0.961953 0.273216i \(-0.0880874\pi\)
−0.717588 + 0.696467i \(0.754754\pi\)
\(194\) −5.90610 11.9464i −0.424033 0.857702i
\(195\) 23.6355 12.7865i 1.69257 0.915662i
\(196\) 4.50216 + 33.6793i 0.321583 + 2.40566i
\(197\) −25.8621 + 5.14429i −1.84260 + 0.366515i −0.988208 0.153119i \(-0.951068\pi\)
−0.854389 + 0.519635i \(0.826068\pi\)
\(198\) −21.6481 + 7.61620i −1.53847 + 0.541260i
\(199\) 4.90493 + 11.8415i 0.347701 + 0.839425i 0.996891 + 0.0787983i \(0.0251083\pi\)
−0.649189 + 0.760627i \(0.724892\pi\)
\(200\) 21.2045 + 7.12745i 1.49939 + 0.503987i
\(201\) 2.58617 + 4.11267i 0.182414 + 0.290085i
\(202\) −5.89952 7.67258i −0.415088 0.539841i
\(203\) 5.95517 + 0.390322i 0.417971 + 0.0273953i
\(204\) 10.0348 7.29790i 0.702576 0.510955i
\(205\) −3.58236 + 4.08490i −0.250203 + 0.285301i
\(206\) −0.691085 2.02924i −0.0481502 0.141384i
\(207\) 10.1730 6.94629i 0.707075 0.482800i
\(208\) 15.5217 + 7.57779i 1.07623 + 0.525425i
\(209\) 6.83219 1.83068i 0.472592 0.126631i
\(210\) −22.5419 + 36.7417i −1.55554 + 2.53542i
\(211\) 24.4276 8.29204i 1.68166 0.570848i 0.692992 0.720945i \(-0.256292\pi\)
0.988671 + 0.150097i \(0.0479587\pi\)
\(212\) 6.51937 + 1.28330i 0.447752 + 0.0881375i
\(213\) −3.86946 + 24.1927i −0.265131 + 1.65766i
\(214\) 6.39494 + 15.3954i 0.437149 + 1.05241i
\(215\) 4.38620 + 1.81682i 0.299136 + 0.123906i
\(216\) −14.1388 4.01163i −0.962026 0.272957i
\(217\) −1.76609 + 0.731537i −0.119890 + 0.0496600i
\(218\) −0.583119 + 0.584280i −0.0394938 + 0.0395725i
\(219\) −20.6915 + 14.9853i −1.39820 + 1.01261i
\(220\) −38.8688 + 0.0773462i −2.62053 + 0.00521468i
\(221\) 6.84090 13.8720i 0.460169 0.933130i
\(222\) 2.11744 1.53671i 0.142114 0.103137i
\(223\) −3.57594 2.06457i −0.239463 0.138254i 0.375467 0.926836i \(-0.377482\pi\)
−0.614930 + 0.788582i \(0.710816\pi\)
\(224\) −27.6380 + 1.94962i −1.84664 + 0.130265i
\(225\) −22.3903 + 7.85230i −1.49269 + 0.523487i
\(226\) 17.6152 + 20.0461i 1.17175 + 1.33344i
\(227\) 13.0954 0.858316i 0.869170 0.0569684i 0.375710 0.926737i \(-0.377399\pi\)
0.493460 + 0.869769i \(0.335732\pi\)
\(228\) 4.25059 + 1.56586i 0.281502 + 0.103701i
\(229\) 9.45514 8.29194i 0.624814 0.547947i −0.287323 0.957834i \(-0.592765\pi\)
0.912136 + 0.409887i \(0.134432\pi\)
\(230\) 20.1475 5.42001i 1.32849 0.357385i
\(231\) 10.1953 44.7406i 0.670801 2.94372i
\(232\) −0.439639 + 3.41820i −0.0288637 + 0.224416i
\(233\) 8.70708 + 3.60659i 0.570420 + 0.236276i 0.649202 0.760616i \(-0.275103\pi\)
−0.0787819 + 0.996892i \(0.525103\pi\)
\(234\) −17.9278 + 3.77237i −1.17198 + 0.246607i
\(235\) −3.96652 2.65034i −0.258747 0.172889i
\(236\) −8.81219 + 17.9594i −0.573625 + 1.16905i
\(237\) 2.23395 7.49981i 0.145111 0.487165i
\(238\) 1.64731 + 24.7556i 0.106779 + 1.60467i
\(239\) −4.29097 + 16.0141i −0.277560 + 1.03587i 0.676547 + 0.736399i \(0.263476\pi\)
−0.954107 + 0.299467i \(0.903191\pi\)
\(240\) −20.3635 14.3166i −1.31446 0.924129i
\(241\) 5.91914 + 22.0905i 0.381285 + 1.42298i 0.843940 + 0.536438i \(0.180230\pi\)
−0.462654 + 0.886539i \(0.653103\pi\)
\(242\) 24.4424 8.32422i 1.57122 0.535101i
\(243\) 14.4468 5.85580i 0.926762 0.375650i
\(244\) −6.72661 + 3.33386i −0.430627 + 0.213428i
\(245\) −26.9981 54.7467i −1.72484 3.49764i
\(246\) 3.13370 1.97492i 0.199797 0.125916i
\(247\) 5.59835 0.737036i 0.356214 0.0468965i
\(248\) −0.357957 1.04426i −0.0227303 0.0663104i
\(249\) 1.85672 + 6.01188i 0.117665 + 0.380987i
\(250\) −14.7816 + 0.0147072i −0.934873 + 0.000930165i
\(251\) −6.90438 + 1.37337i −0.435801 + 0.0866861i −0.408115 0.912931i \(-0.633814\pi\)
−0.0276857 + 0.999617i \(0.508814\pi\)
\(252\) 21.8598 19.6411i 1.37703 1.23727i
\(253\) −18.4672 + 12.3394i −1.16102 + 0.775772i
\(254\) 11.2738 + 7.51672i 0.707383 + 0.471641i
\(255\) −12.8924 + 18.1837i −0.807355 + 1.13870i
\(256\) −0.127354 15.9995i −0.00795962 0.999968i
\(257\) −0.0565236 0.0979018i −0.00352585 0.00610695i 0.864257 0.503050i \(-0.167789\pi\)
−0.867783 + 0.496943i \(0.834456\pi\)
\(258\) −2.51430 2.03823i −0.156534 0.126895i
\(259\) 0.342154 + 5.22026i 0.0212604 + 0.324371i
\(260\) −30.7722 3.98896i −1.90841 0.247385i
\(261\) −1.85943 3.14715i −0.115096 0.194804i
\(262\) 11.8405 + 20.4612i 0.731506 + 1.26410i
\(263\) 11.9234 + 1.56975i 0.735231 + 0.0967950i 0.488838 0.872375i \(-0.337421\pi\)
0.246394 + 0.969170i \(0.420754\pi\)
\(264\) 25.4188 + 7.48890i 1.56442 + 0.460910i
\(265\) −11.8344 + 1.55803i −0.726983 + 0.0957091i
\(266\) −7.18045 + 5.52111i −0.440262 + 0.338521i
\(267\) 3.77414 + 0.603648i 0.230973 + 0.0369426i
\(268\) 0.355758 5.59850i 0.0217314 0.341983i
\(269\) 11.1919 + 2.22621i 0.682384 + 0.135735i 0.524097 0.851659i \(-0.324403\pi\)
0.158287 + 0.987393i \(0.449403\pi\)
\(270\) 26.3711 1.28777i 1.60489 0.0783714i
\(271\) 9.59392 9.59392i 0.582789 0.582789i −0.352879 0.935669i \(-0.614797\pi\)
0.935669 + 0.352879i \(0.114797\pi\)
\(272\) −14.3273 + 0.0570209i −0.868721 + 0.00345740i
\(273\) 12.7315 34.3492i 0.770543 2.07891i
\(274\) 1.25632 + 18.8799i 0.0758970 + 1.14058i
\(275\) 40.5107 13.7515i 2.44289 0.829248i
\(276\) −14.2193 0.365663i −0.855901 0.0220103i
\(277\) −8.84680 + 4.36276i −0.531552 + 0.262133i −0.688199 0.725522i \(-0.741598\pi\)
0.156646 + 0.987655i \(0.449932\pi\)
\(278\) 15.3567 + 11.7594i 0.921034 + 0.705280i
\(279\) 0.980029 + 0.640683i 0.0586728 + 0.0383567i
\(280\) 45.9282 19.1849i 2.74473 1.14652i
\(281\) 2.06226 15.6644i 0.123024 0.934462i −0.812935 0.582354i \(-0.802132\pi\)
0.935960 0.352108i \(-0.114535\pi\)
\(282\) 2.07833 + 2.50160i 0.123763 + 0.148968i
\(283\) −10.5239 + 9.22925i −0.625584 + 0.548622i −0.912367 0.409373i \(-0.865747\pi\)
0.286783 + 0.957995i \(0.407414\pi\)
\(284\) 19.9645 20.0441i 1.18467 1.18940i
\(285\) −8.13456 0.225387i −0.481850 0.0133508i
\(286\) 32.3911 6.47650i 1.91533 0.382964i
\(287\) 7.40658i 0.437196i
\(288\) 10.5321 + 13.3069i 0.620612 + 0.784118i
\(289\) 4.17030i 0.245312i
\(290\) −1.21389 6.07108i −0.0712823 0.356506i
\(291\) −7.76623 14.3556i −0.455264 0.841541i
\(292\) 29.5002 0.0587033i 1.72637 0.00343535i
\(293\) −21.2651 + 18.6490i −1.24232 + 1.08949i −0.249689 + 0.968326i \(0.580328\pi\)
−0.992633 + 0.121161i \(0.961338\pi\)
\(294\) 7.02601 + 41.0181i 0.409765 + 2.39222i
\(295\) 4.69084 35.6305i 0.273111 2.07449i
\(296\) −3.02104 + 0.00901749i −0.175594 + 0.000524131i
\(297\) −26.1528 + 10.2959i −1.51754 + 0.597428i
\(298\) −7.64967 + 9.98981i −0.443133 + 0.578694i
\(299\) −15.9023 + 7.84217i −0.919656 + 0.453524i
\(300\) 26.2733 + 7.76910i 1.51689 + 0.448549i
\(301\) 6.12848 2.08034i 0.353240 0.119909i
\(302\) 12.0142 0.799460i 0.691341 0.0460037i
\(303\) −7.56583 9.12510i −0.434645 0.524223i
\(304\) −2.92325 4.33749i −0.167660 0.248772i
\(305\) 9.53665 9.53665i 0.546067 0.546067i
\(306\) 11.9533 9.38365i 0.683325 0.536428i
\(307\) 25.1075 + 4.99419i 1.43296 + 0.285034i 0.849707 0.527256i \(-0.176779\pi\)
0.583255 + 0.812289i \(0.301779\pi\)
\(308\) −39.7677 + 35.0155i −2.26597 + 1.99520i
\(309\) −0.937157 2.45252i −0.0533130 0.139519i
\(310\) 1.20881 + 1.57212i 0.0686560 + 0.0892902i
\(311\) 4.03677 0.531451i 0.228904 0.0301358i −0.0152014 0.999884i \(-0.504839\pi\)
0.244106 + 0.969749i \(0.421506\pi\)
\(312\) 19.3383 + 8.57604i 1.09481 + 0.485522i
\(313\) −1.92796 0.253821i −0.108975 0.0143468i 0.0758414 0.997120i \(-0.475836\pi\)
−0.184816 + 0.982773i \(0.559169\pi\)
\(314\) −5.46856 + 3.16454i −0.308609 + 0.178585i
\(315\) −25.9359 + 45.9834i −1.46132 + 2.59087i
\(316\) −7.15782 + 5.51505i −0.402659 + 0.310246i
\(317\) −0.147088 2.24413i −0.00826130 0.126043i 0.991736 0.128294i \(-0.0409501\pi\)
−0.999997 + 0.00225103i \(0.999283\pi\)
\(318\) 8.03692 + 1.27725i 0.450688 + 0.0716247i
\(319\) 3.29541 + 5.70781i 0.184507 + 0.319576i
\(320\) 9.40158 + 27.1623i 0.525564 + 1.51842i
\(321\) 8.51975 + 18.5549i 0.475526 + 1.03563i
\(322\) 15.7778 23.6642i 0.879265 1.31875i
\(323\) −3.89445 + 2.60219i −0.216693 + 0.144790i
\(324\) −17.4853 4.27359i −0.971407 0.237422i
\(325\) 33.4966 6.66289i 1.85806 0.369590i
\(326\) −0.0239536 24.0748i −0.00132666 1.33338i
\(327\) −0.687394 + 0.741354i −0.0380130 + 0.0409970i
\(328\) −4.26879 0.266997i −0.235704 0.0147424i
\(329\) −6.44753 + 0.848834i −0.355464 + 0.0467977i
\(330\) −47.5687 + 1.84395i −2.61857 + 0.101506i
\(331\) 8.20321 + 16.6345i 0.450889 + 0.914313i 0.997059 + 0.0766382i \(0.0244186\pi\)
−0.546170 + 0.837674i \(0.683915\pi\)
\(332\) 2.32171 6.88451i 0.127420 0.377837i
\(333\) 2.52242 1.97611i 0.138228 0.108290i
\(334\) −7.81070 22.9346i −0.427382 1.25492i
\(335\) 2.60832 + 9.73439i 0.142508 + 0.531847i
\(336\) −33.7389 + 3.63003i −1.84061 + 0.198034i
\(337\) 6.13409 22.8927i 0.334145 1.24705i −0.570648 0.821195i \(-0.693308\pi\)
0.904793 0.425852i \(-0.140025\pi\)
\(338\) 7.96780 0.530200i 0.433391 0.0288391i
\(339\) 22.4618 + 23.7420i 1.21996 + 1.28949i
\(340\) 24.3562 8.32191i 1.32090 0.451319i
\(341\) −1.75532 1.17287i −0.0950561 0.0635145i
\(342\) 5.27284 + 1.72518i 0.285123 + 0.0932872i
\(343\) −45.2029 18.7237i −2.44073 1.01098i
\(344\) 0.978081 + 3.60715i 0.0527346 + 0.194484i
\(345\) 24.4150 7.54038i 1.31446 0.405961i
\(346\) −2.95929 11.0004i −0.159092 0.591386i
\(347\) −19.8216 + 17.3830i −1.06408 + 0.933171i −0.997909 0.0646374i \(-0.979411\pi\)
−0.0661688 + 0.997808i \(0.521078\pi\)
\(348\) −0.384245 + 4.20338i −0.0205977 + 0.225325i
\(349\) −12.0838 + 0.792013i −0.646830 + 0.0423955i −0.385288 0.922797i \(-0.625898\pi\)
−0.261542 + 0.965192i \(0.584231\pi\)
\(350\) −41.1527 + 36.1625i −2.19971 + 1.93297i
\(351\) −21.7724 + 5.42391i −1.16213 + 0.289507i
\(352\) −18.7477 24.1824i −0.999254 1.28893i
\(353\) −3.70214 2.13743i −0.197045 0.113764i 0.398231 0.917285i \(-0.369624\pi\)
−0.595276 + 0.803521i \(0.702957\pi\)
\(354\) −9.97713 + 22.3774i −0.530279 + 1.18934i
\(355\) −22.4783 + 45.5814i −1.19302 + 2.41921i
\(356\) −3.12694 3.11452i −0.165728 0.165069i
\(357\) 3.13030 + 30.2247i 0.165673 + 1.59966i
\(358\) −10.2916 10.2711i −0.543928 0.542847i
\(359\) −23.4618 + 9.71821i −1.23827 + 0.512907i −0.903173 0.429277i \(-0.858768\pi\)
−0.335095 + 0.942184i \(0.608768\pi\)
\(360\) −25.5676 16.6058i −1.34753 0.875204i
\(361\) 15.9739 + 6.61661i 0.840733 + 0.348243i
\(362\) −6.53516 + 2.71457i −0.343480 + 0.142675i
\(363\) 29.5409 11.2882i 1.55050 0.592476i
\(364\) −35.1242 + 23.5705i −1.84101 + 1.23543i
\(365\) −50.1836 + 17.0350i −2.62673 + 0.891654i
\(366\) −8.08278 + 4.38310i −0.422494 + 0.229108i
\(367\) 24.9379 6.68210i 1.30175 0.348803i 0.459638 0.888106i \(-0.347979\pi\)
0.842111 + 0.539304i \(0.181312\pi\)
\(368\) 13.0701 + 9.94664i 0.681326 + 0.518504i
\(369\) 3.74651 2.55817i 0.195036 0.133173i
\(370\) 5.13744 1.74963i 0.267083 0.0909589i
\(371\) −10.7289 + 12.2339i −0.557015 + 0.635154i
\(372\) −0.485107 1.26198i −0.0251516 0.0654304i
\(373\) −8.17465 0.535795i −0.423267 0.0277424i −0.147718 0.989029i \(-0.547193\pi\)
−0.275549 + 0.961287i \(0.588860\pi\)
\(374\) −21.7211 + 16.7016i −1.12317 + 0.863617i
\(375\) −18.0908 + 0.683248i −0.934207 + 0.0352828i
\(376\) −0.256801 3.74664i −0.0132435 0.193218i
\(377\) 2.01351 + 4.86104i 0.103701 + 0.250356i
\(378\) 25.8706 25.0228i 1.33064 1.28704i
\(379\) 28.7613 5.72097i 1.47737 0.293866i 0.610344 0.792136i \(-0.291031\pi\)
0.867022 + 0.498270i \(0.166031\pi\)
\(380\) 7.46618 + 5.70543i 0.383007 + 0.292683i
\(381\) 14.1365 + 8.69247i 0.724237 + 0.445329i
\(382\) −15.6774 + 7.75062i −0.802123 + 0.396556i
\(383\) −2.80086 4.85124i −0.143117 0.247887i 0.785552 0.618796i \(-0.212379\pi\)
−0.928669 + 0.370909i \(0.879046\pi\)
\(384\) −0.875927 19.5763i −0.0446995 0.999000i
\(385\) 47.5940 82.4352i 2.42561 4.20129i
\(386\) 0.618467 9.58206i 0.0314791 0.487714i
\(387\) −3.16903 2.38147i −0.161091 0.121057i
\(388\) −2.42280 + 18.6903i −0.122999 + 0.948857i
\(389\) 2.91732 8.59415i 0.147914 0.435740i −0.847569 0.530686i \(-0.821934\pi\)
0.995482 + 0.0949455i \(0.0302677\pi\)
\(390\) −37.8422 3.49726i −1.91621 0.177090i
\(391\) 8.95337 11.6683i 0.452791 0.590089i
\(392\) 21.1247 43.1610i 1.06696 2.17996i
\(393\) 15.4126 + 24.5100i 0.777463 + 1.23636i
\(394\) 34.4666 + 14.2364i 1.73640 + 0.717218i
\(395\) 9.01853 13.4972i 0.453771 0.679117i
\(396\) 31.4475 + 8.02183i 1.58030 + 0.403112i
\(397\) −16.1277 3.20801i −0.809428 0.161005i −0.227008 0.973893i \(-0.572894\pi\)
−0.582421 + 0.812888i \(0.697894\pi\)
\(398\) 3.51857 17.7815i 0.176370 0.891305i
\(399\) −8.53981 + 7.08055i −0.427525 + 0.354471i
\(400\) −19.3588 25.0220i −0.967939 1.25110i
\(401\) −0.446148 + 1.66505i −0.0222796 + 0.0831486i −0.976171 0.217005i \(-0.930371\pi\)
0.953891 + 0.300153i \(0.0970379\pi\)
\(402\) 0.183458 6.86812i 0.00915007 0.342550i
\(403\) −1.26710 1.11122i −0.0631188 0.0553537i
\(404\) 0.922377 + 13.6563i 0.0458900 + 0.679427i
\(405\) 32.2181 2.76296i 1.60093 0.137292i
\(406\) −6.70097 5.13125i −0.332564 0.254660i
\(407\) −4.58357 + 3.51709i −0.227199 + 0.174336i
\(408\) −17.5329 + 0.714589i −0.868007 + 0.0353774i
\(409\) 27.6238 + 21.1965i 1.36591 + 1.04810i 0.992733 + 0.120341i \(0.0383988\pi\)
0.373178 + 0.927760i \(0.378268\pi\)
\(410\) 7.41991 1.99607i 0.366443 0.0985790i
\(411\) 2.38732 + 23.0509i 0.117758 + 1.13702i
\(412\) −0.778815 + 2.92989i −0.0383695 + 0.144345i
\(413\) −27.2179 40.7344i −1.33930 2.00441i
\(414\) −17.4197 + 0.192398i −0.856132 + 0.00945585i
\(415\) 13.0521i 0.640703i
\(416\) −12.3187 21.0936i −0.603974 1.03420i
\(417\) 19.3246 + 13.7014i 0.946329 + 0.670959i
\(418\) −9.47535 3.20594i −0.463455 0.156808i
\(419\) −0.834069 + 1.69133i −0.0407470 + 0.0826267i −0.916294 0.400506i \(-0.868834\pi\)
0.875547 + 0.483133i \(0.160501\pi\)
\(420\) 55.3489 25.5477i 2.70075 1.24660i
\(421\) −37.9561 12.8843i −1.84986 0.627944i −0.993815 0.111052i \(-0.964578\pi\)
−0.856050 0.516893i \(-0.827089\pi\)
\(422\) −35.2482 9.40714i −1.71585 0.457933i
\(423\) 2.65629 + 2.96821i 0.129153 + 0.144319i
\(424\) −6.66427 6.62461i −0.323646 0.321719i
\(425\) −22.4751 + 17.2458i −1.09020 + 0.836543i
\(426\) 23.5328 25.4308i 1.14017 1.23213i
\(427\) 1.20246 18.3460i 0.0581912 0.887827i
\(428\) 4.55342 23.1321i 0.220098 1.11813i
\(429\) 39.3526 9.38447i 1.89996 0.453086i
\(430\) −3.73571 5.57885i −0.180152 0.269036i
\(431\) 10.2766 + 10.2766i 0.495005 + 0.495005i 0.909879 0.414874i \(-0.136174\pi\)
−0.414874 + 0.909879i \(0.636174\pi\)
\(432\) 13.4893 + 15.8126i 0.649006 + 0.760783i
\(433\) −16.9308 + 16.9308i −0.813644 + 0.813644i −0.985178 0.171534i \(-0.945128\pi\)
0.171534 + 0.985178i \(0.445128\pi\)
\(434\) 2.65199 + 0.524771i 0.127300 + 0.0251898i
\(435\) −1.75893 7.37587i −0.0843344 0.353646i
\(436\) 1.14451 0.230026i 0.0548122 0.0110163i
\(437\) 5.35787 + 0.351173i 0.256302 + 0.0167989i
\(438\) 36.1031 1.39950i 1.72507 0.0668708i
\(439\) −13.3471 17.3942i −0.637020 0.830181i 0.357589 0.933879i \(-0.383599\pi\)
−0.994609 + 0.103699i \(0.966932\pi\)
\(440\) 45.7959 + 30.4025i 2.18324 + 1.44938i
\(441\) 10.4453 + 49.8865i 0.497394 + 2.37555i
\(442\) −18.9323 + 10.9557i −0.900518 + 0.521109i
\(443\) −5.31446 + 15.6559i −0.252498 + 0.743834i 0.744587 + 0.667526i \(0.232647\pi\)
−0.997084 + 0.0763083i \(0.975687\pi\)
\(444\) −3.69709 + 0.146998i −0.175456 + 0.00697623i
\(445\) 7.11084 + 3.50668i 0.337086 + 0.166233i
\(446\) 2.58795 + 5.23470i 0.122543 + 0.247870i
\(447\) −8.91298 + 12.5710i −0.421569 + 0.594587i
\(448\) 34.0500 + 19.3887i 1.60871 + 0.916029i
\(449\) −37.1338 −1.75245 −0.876226 0.481901i \(-0.839947\pi\)
−0.876226 + 0.481901i \(0.839947\pi\)
\(450\) 32.5061 + 8.32631i 1.53235 + 0.392506i
\(451\) −6.80108 + 4.54434i −0.320250 + 0.213984i
\(452\) −5.00046 37.4069i −0.235202 1.75947i
\(453\) 14.6684 1.51917i 0.689183 0.0713770i
\(454\) −16.0821 9.26369i −0.754771 0.434767i
\(455\) 46.2599 60.2871i 2.16870 2.82630i
\(456\) −3.77303 5.17717i −0.176688 0.242443i
\(457\) −17.4623 22.7574i −0.816854 1.06454i −0.996726 0.0808547i \(-0.974235\pi\)
0.179872 0.983690i \(-0.442432\pi\)
\(458\) −17.6307 + 2.33897i −0.823828 + 0.109293i
\(459\) 14.2076 12.0228i 0.663152 0.561175i
\(460\) −27.9589 9.42875i −1.30359 0.439618i
\(461\) 17.4974 19.9520i 0.814935 0.929255i −0.183620 0.982997i \(-0.558782\pi\)
0.998555 + 0.0537420i \(0.0171149\pi\)
\(462\) −47.0965 + 44.6459i −2.19113 + 2.07711i
\(463\) 6.95851 + 1.86453i 0.323389 + 0.0866519i 0.416862 0.908970i \(-0.363130\pi\)
−0.0934723 + 0.995622i \(0.529797\pi\)
\(464\) 3.19896 3.67714i 0.148508 0.170707i
\(465\) 1.55024 + 1.86974i 0.0718908 + 0.0867070i
\(466\) −7.41579 11.0746i −0.343530 0.513023i
\(467\) 1.60872 8.08756i 0.0744425 0.374248i −0.925548 0.378630i \(-0.876395\pi\)
0.999990 + 0.00438292i \(0.00139513\pi\)
\(468\) 24.0544 + 9.62605i 1.11192 + 0.444964i
\(469\) 11.4228 + 7.63248i 0.527457 + 0.352435i
\(470\) 2.58797 + 6.23037i 0.119374 + 0.287386i
\(471\) −6.55065 + 4.11924i −0.301838 + 0.189805i
\(472\) 24.4585 14.2186i 1.12579 0.654465i
\(473\) 5.67042 + 4.35107i 0.260726 + 0.200062i
\(474\) −8.51238 + 7.07211i −0.390987 + 0.324833i
\(475\) −9.79349 3.32444i −0.449356 0.152536i
\(476\) 17.4831 30.4212i 0.801336 1.39435i
\(477\) 9.89401 + 1.20155i 0.453016 + 0.0550152i
\(478\) 17.6125 15.4767i 0.805575 0.707890i
\(479\) 23.4713 + 13.5512i 1.07243 + 0.619169i 0.928845 0.370469i \(-0.120803\pi\)
0.143587 + 0.989638i \(0.454136\pi\)
\(480\) 12.7292 + 32.8214i 0.581006 + 1.49808i
\(481\) −3.99432 + 2.30612i −0.182125 + 0.105150i
\(482\) 10.3658 30.6367i 0.472148 1.39546i
\(483\) 18.2458 29.6731i 0.830212 1.35017i
\(484\) −35.2909 9.38095i −1.60413 0.426407i
\(485\) −6.60524 33.2068i −0.299929 1.50784i
\(486\) −21.5929 4.44359i −0.979475 0.201565i
\(487\) 8.90299 3.68774i 0.403433 0.167107i −0.171734 0.985143i \(-0.554937\pi\)
0.575167 + 0.818036i \(0.304937\pi\)
\(488\) 10.5304 + 1.35439i 0.476689 + 0.0613104i
\(489\) −1.11280 29.4645i −0.0503227 1.33243i
\(490\) −11.1827 + 85.5988i −0.505181 + 3.86696i
\(491\) 1.40581 21.4486i 0.0634435 0.967961i −0.840909 0.541176i \(-0.817979\pi\)
0.904353 0.426785i \(-0.140354\pi\)
\(492\) −5.23666 0.134666i −0.236087 0.00607120i
\(493\) −3.28132 2.87764i −0.147783 0.129602i
\(494\) −7.16555 3.52480i −0.322394 0.158588i
\(495\) −58.1372 + 4.39768i −2.61307 + 0.197661i
\(496\) −0.398053 + 1.50956i −0.0178731 + 0.0677812i
\(497\) 17.9315 + 66.9211i 0.804336 + 3.00182i
\(498\) 2.53174 8.53056i 0.113450 0.382264i
\(499\) 0.902629 + 2.65906i 0.0404072 + 0.119036i 0.965261 0.261286i \(-0.0841466\pi\)
−0.924854 + 0.380322i \(0.875813\pi\)
\(500\) 17.4045 + 11.5793i 0.778351 + 0.517840i
\(501\) −10.5918 27.7185i −0.473208 1.23837i
\(502\) 9.20153 + 3.80068i 0.410684 + 0.169632i
\(503\) −13.5355 + 32.6776i −0.603518 + 1.45702i 0.266418 + 0.963857i \(0.414160\pi\)
−0.869936 + 0.493164i \(0.835840\pi\)
\(504\) −41.1303 + 5.96128i −1.83209 + 0.265536i
\(505\) −9.40978 22.7172i −0.418730 1.01090i
\(506\) 31.4101 0.0312519i 1.39635 0.00138932i
\(507\) 9.72807 1.00751i 0.432039 0.0447452i
\(508\) −7.36838 17.6892i −0.326919 0.784831i
\(509\) −16.8761 8.32238i −0.748021 0.368883i 0.0279856 0.999608i \(-0.491091\pi\)
−0.776006 + 0.630725i \(0.782757\pi\)
\(510\) 29.4355 11.2815i 1.30343 0.499553i
\(511\) −36.1223 + 62.5657i −1.59796 + 2.76774i
\(512\) −12.4021 + 18.9258i −0.548103 + 0.836411i
\(513\) 6.53117 + 1.87418i 0.288358 + 0.0827470i
\(514\) −0.0102975 + 0.159541i −0.000454201 + 0.00703705i
\(515\) −0.356199 5.43455i −0.0156960 0.239475i
\(516\) 1.35943 + 4.37083i 0.0598456 + 0.192415i
\(517\) −4.73535 5.39963i −0.208260 0.237476i
\(518\) 3.69282 6.41088i 0.162253 0.281678i
\(519\) −4.11700 13.3304i −0.180716 0.585141i
\(520\) 33.0789 + 28.8352i 1.45061 + 1.26451i
\(521\) −0.622985 + 1.50402i −0.0272935 + 0.0658923i −0.936939 0.349494i \(-0.886354\pi\)
0.909645 + 0.415386i \(0.136354\pi\)
\(522\) −0.281112 + 5.16188i −0.0123039 + 0.225929i
\(523\) −11.7467 + 17.5802i −0.513649 + 0.768729i −0.994120 0.108281i \(-0.965465\pi\)
0.480472 + 0.877010i \(0.340465\pi\)
\(524\) 2.12018 33.3650i 0.0926207 1.45756i
\(525\) −48.7401 + 46.1120i −2.12719 + 2.01249i
\(526\) −12.7983 11.2013i −0.558032 0.488400i
\(527\) 1.35033 + 0.361819i 0.0588212 + 0.0157611i
\(528\) −24.0339 28.7535i −1.04594 1.25134i
\(529\) 5.93061 1.58910i 0.257853 0.0690914i
\(530\) 15.1474 + 7.45113i 0.657960 + 0.323656i
\(531\) −11.2041 + 27.8371i −0.486216 + 1.20803i
\(532\) 12.7804 0.863215i 0.554100 0.0374251i
\(533\) −5.85649 + 2.88810i −0.253673 + 0.125098i
\(534\) −3.96729 3.67119i −0.171681 0.158868i
\(535\) 5.52822 + 41.9910i 0.239006 + 1.81543i
\(536\) −4.81077 + 6.30841i −0.207793 + 0.272482i
\(537\) −13.0583 12.1079i −0.563509 0.522493i
\(538\) −11.4225 11.3998i −0.492460 0.491481i
\(539\) −17.9283 90.1316i −0.772226 3.88224i
\(540\) −32.0400 19.1735i −1.37878 0.825096i
\(541\) −10.1174 15.1417i −0.434979 0.650993i 0.547621 0.836727i \(-0.315534\pi\)
−0.982600 + 0.185734i \(0.940534\pi\)
\(542\) −18.8154 + 3.76209i −0.808192 + 0.161595i
\(543\) −7.87633 + 3.61653i −0.338005 + 0.155200i
\(544\) 16.9031 + 11.1730i 0.724713 + 0.479040i
\(545\) −1.81622 + 1.04859i −0.0777983 + 0.0449169i
\(546\) −41.9284 + 30.4291i −1.79437 + 1.30225i
\(547\) 18.7957 1.23194i 0.803647 0.0526738i 0.341958 0.939715i \(-0.388910\pi\)
0.461690 + 0.887042i \(0.347243\pi\)
\(548\) 13.3335 23.2008i 0.569578 0.991087i
\(549\) −9.69540 + 5.72831i −0.413790 + 0.244478i
\(550\) −58.4556 15.6008i −2.49255 0.665220i
\(551\) 0.207972 1.57970i 0.00885990 0.0672976i
\(552\) 16.4444 + 11.5857i 0.699919 + 0.493118i
\(553\) −2.88839 21.9395i −0.122827 0.932964i
\(554\) 13.8323 + 1.80706i 0.587680 + 0.0767747i
\(555\) 6.20907 2.37261i 0.263560 0.100712i
\(556\) −8.84407 25.8845i −0.375072 1.09775i
\(557\) −0.418181 + 2.10234i −0.0177189 + 0.0890790i −0.988633 0.150350i \(-0.951960\pi\)
0.970914 + 0.239429i \(0.0769601\pi\)
\(558\) −0.650526 1.52272i −0.0275390 0.0644619i
\(559\) 4.03468 + 4.03468i 0.170649 + 0.170649i
\(560\) −69.0927 13.4578i −2.91970 0.568694i
\(561\) −25.8332 + 21.4189i −1.09068 + 0.904306i
\(562\) −14.7157 + 16.8138i −0.620745 + 0.709246i
\(563\) −2.21186 6.51592i −0.0932187 0.274613i 0.890313 0.455349i \(-0.150486\pi\)
−0.983532 + 0.180736i \(0.942152\pi\)
\(564\) −0.482921 4.57402i −0.0203347 0.192601i
\(565\) 29.9862 + 60.8061i 1.26153 + 2.55813i
\(566\) 19.6236 2.60337i 0.824843 0.109428i
\(567\) 30.5373 31.7902i 1.28245 1.33506i
\(568\) −39.2164 + 7.92240i −1.64549 + 0.332416i
\(569\) 6.32654 + 0.832905i 0.265223 + 0.0349172i 0.261965 0.965077i \(-0.415630\pi\)
0.00325794 + 0.999995i \(0.498963\pi\)
\(570\) 9.39476 + 6.64697i 0.393503 + 0.278411i
\(571\) −27.5041 31.3624i −1.15101 1.31248i −0.942404 0.334477i \(-0.891440\pi\)
−0.208607 0.978000i \(-0.566893\pi\)
\(572\) −43.1942 17.7910i −1.80604 0.743879i
\(573\) −18.8390 + 10.1917i −0.787009 + 0.425763i
\(574\) 5.81064 8.71500i 0.242532 0.363757i
\(575\) 32.4757 1.35433
\(576\) −1.95310 23.9204i −0.0813790 0.996683i
\(577\) −14.5674 −0.606449 −0.303224 0.952919i \(-0.598063\pi\)
−0.303224 + 0.952919i \(0.598063\pi\)
\(578\) −3.27170 + 4.90701i −0.136085 + 0.204105i
\(579\) 0.325713 11.7555i 0.0135362 0.488541i
\(580\) −3.33457 + 8.09590i −0.138461 + 0.336164i
\(581\) 11.7316 + 13.3773i 0.486707 + 0.554984i
\(582\) −2.12415 + 22.9844i −0.0880488 + 0.952735i
\(583\) −17.8165 2.34559i −0.737885 0.0971444i
\(584\) −34.7576 23.0745i −1.43828 0.954831i
\(585\) −46.4731 2.57727i −1.92143 0.106557i
\(586\) 39.6524 5.26047i 1.63802 0.217308i
\(587\) 2.71163 + 5.49865i 0.111921 + 0.226953i 0.945625 0.325258i \(-0.105451\pi\)
−0.833704 + 0.552211i \(0.813784\pi\)
\(588\) 23.9125 53.7763i 0.986134 2.21770i
\(589\) 0.164051 + 0.483278i 0.00675959 + 0.0199131i
\(590\) −33.4725 + 38.2447i −1.37804 + 1.57451i
\(591\) 42.8250 + 15.8730i 1.76158 + 0.652927i
\(592\) 3.56180 + 2.35947i 0.146389 + 0.0969735i
\(593\) −11.2215 11.2215i −0.460813 0.460813i 0.438109 0.898922i \(-0.355648\pi\)
−0.898922 + 0.438109i \(0.855648\pi\)
\(594\) 38.8502 + 8.40277i 1.59404 + 0.344770i
\(595\) −12.2971 + 61.8216i −0.504131 + 2.53444i
\(596\) 16.8383 5.75322i 0.689723 0.235661i
\(597\) 3.50618 21.9214i 0.143498 0.897184i
\(598\) 24.8640 + 3.24824i 1.01676 + 0.132830i
\(599\) 1.95779 + 14.8709i 0.0799931 + 0.607608i 0.983748 + 0.179557i \(0.0574664\pi\)
−0.903755 + 0.428051i \(0.859200\pi\)
\(600\) −24.8197 29.7537i −1.01326 1.21469i
\(601\) 0.382514 2.90548i 0.0156031 0.118517i −0.981871 0.189551i \(-0.939297\pi\)
0.997474 + 0.0710343i \(0.0226300\pi\)
\(602\) −8.84319 2.36010i −0.360422 0.0961904i
\(603\) −0.0845614 8.41426i −0.00344361 0.342655i
\(604\) −14.7638 8.48476i −0.600731 0.345240i
\(605\) 65.4600 4.29047i 2.66133 0.174433i
\(606\) 1.74352 + 16.6727i 0.0708255 + 0.677282i
\(607\) −15.2857 + 8.82521i −0.620428 + 0.358204i −0.777036 0.629457i \(-0.783278\pi\)
0.156608 + 0.987661i \(0.449944\pi\)
\(608\) 0.0367995 + 7.39710i 0.00149242 + 0.299992i
\(609\) −8.43237 5.97865i −0.341697 0.242267i
\(610\) −18.7031 + 3.73963i −0.757267 + 0.151413i
\(611\) −3.18532 4.76717i −0.128864 0.192859i
\(612\) −21.4267 + 1.66367i −0.866121 + 0.0672497i
\(613\) 3.78132 + 19.0100i 0.152726 + 0.767806i 0.978892 + 0.204379i \(0.0655175\pi\)
−0.826166 + 0.563427i \(0.809482\pi\)
\(614\) −25.6249 25.5739i −1.03413 1.03208i
\(615\) 8.99152 2.77696i 0.362573 0.111978i
\(616\) 74.2634 10.0026i 2.99216 0.403015i
\(617\) 4.29209 + 32.6017i 0.172793 + 1.31249i 0.829567 + 0.558407i \(0.188587\pi\)
−0.656774 + 0.754088i \(0.728079\pi\)
\(618\) −0.821347 + 3.62099i −0.0330394 + 0.145658i
\(619\) −27.3986 + 13.5115i −1.10124 + 0.543073i −0.899745 0.436416i \(-0.856247\pi\)
−0.201497 + 0.979489i \(0.564581\pi\)
\(620\) −0.188996 2.79819i −0.00759025 0.112378i
\(621\) −21.3116 + 1.01945i −0.855206 + 0.0409092i
\(622\) −5.16683 2.54161i −0.207171 0.101909i
\(623\) 10.4399 2.79736i 0.418265 0.112074i
\(624\) −16.0264 25.2624i −0.641569 1.01131i
\(625\) 1.92370 + 0.515454i 0.0769480 + 0.0206181i
\(626\) 2.06942 + 1.81120i 0.0827108 + 0.0723899i
\(627\) −11.7413 3.49737i −0.468904 0.139671i
\(628\) 8.91728 + 0.566651i 0.355838 + 0.0226118i
\(629\) 2.12550 3.18103i 0.0847490 0.126836i
\(630\) 66.5927 33.7593i 2.65312 1.34500i
\(631\) 15.7473 38.0175i 0.626892 1.51345i −0.216573 0.976266i \(-0.569488\pi\)
0.843465 0.537184i \(-0.180512\pi\)
\(632\) 12.7490 0.873839i 0.507128 0.0347594i
\(633\) −43.5642 9.92722i −1.73152 0.394572i
\(634\) −1.58751 + 2.75597i −0.0630479 + 0.109453i
\(635\) 22.6978 + 25.8818i 0.900733 + 1.02709i
\(636\) −8.45466 7.80805i −0.335249 0.309609i
\(637\) −4.79818 73.2061i −0.190111 2.90053i
\(638\) 0.600356 9.30146i 0.0237683 0.368248i
\(639\) 27.6577 32.1843i 1.09412 1.27319i
\(640\) 10.2471 39.3365i 0.405052 1.55491i
\(641\) 6.16404 10.6764i 0.243465 0.421694i −0.718234 0.695802i \(-0.755049\pi\)
0.961699 + 0.274108i \(0.0883826\pi\)
\(642\) 4.53196 28.5167i 0.178862 1.12546i
\(643\) −1.25361 0.618214i −0.0494377 0.0243800i 0.417402 0.908722i \(-0.362941\pi\)
−0.466840 + 0.884342i \(0.654607\pi\)
\(644\) −37.1302 + 15.4665i −1.46314 + 0.609465i
\(645\) −4.82327 6.65993i −0.189916 0.262235i
\(646\) 6.62392 0.00659056i 0.260615 0.000259302i
\(647\) 18.0722 + 43.6300i 0.710490 + 1.71527i 0.698774 + 0.715343i \(0.253729\pi\)
0.0117158 + 0.999931i \(0.496271\pi\)
\(648\) 17.2215 + 18.7462i 0.676524 + 0.736421i
\(649\) 20.7047 49.9855i 0.812730 1.96210i
\(650\) −44.6412 18.4390i −1.75097 0.723236i
\(651\) 3.26943 + 0.522924i 0.128139 + 0.0204950i
\(652\) −18.8591 + 28.3466i −0.738579 + 1.11014i
\(653\) 9.13490 + 26.9106i 0.357476 + 1.05309i 0.965775 + 0.259383i \(0.0835192\pi\)
−0.608298 + 0.793709i \(0.708147\pi\)
\(654\) 1.39044 0.333042i 0.0543704 0.0130230i
\(655\) 15.5446 + 58.0133i 0.607379 + 2.26677i
\(656\) 4.81343 + 3.66313i 0.187933 + 0.143021i
\(657\) 44.1243 3.33770i 1.72145 0.130216i
\(658\) 8.25246 + 4.05946i 0.321714 + 0.158254i
\(659\) 8.16966 + 7.16460i 0.318245 + 0.279093i 0.803532 0.595262i \(-0.202952\pi\)
−0.485287 + 0.874355i \(0.661285\pi\)
\(660\) 57.4187 + 35.1491i 2.23502 + 1.36818i
\(661\) 2.01792 30.7876i 0.0784881 1.19750i −0.759018 0.651069i \(-0.774321\pi\)
0.837506 0.546428i \(-0.184013\pi\)
\(662\) 3.39778 26.0087i 0.132059 1.01086i
\(663\) −22.6785 + 14.2609i −0.880760 + 0.553848i
\(664\) −8.13292 + 6.27927i −0.315619 + 0.243683i
\(665\) −21.2601 + 8.80623i −0.824432 + 0.341491i
\(666\) −4.51832 + 0.346301i −0.175081 + 0.0134189i
\(667\) 0.976072 + 4.90704i 0.0377937 + 0.190002i
\(668\) −8.80223 + 33.1138i −0.340568 + 1.28121i
\(669\) 3.40302 + 6.29038i 0.131569 + 0.243200i
\(670\) 4.56777 13.5003i 0.176468 0.521563i
\(671\) 17.5840 10.1521i 0.678823 0.391918i
\(672\) 42.5470 + 22.1977i 1.64129 + 0.856296i
\(673\) −40.1707 23.1926i −1.54847 0.894008i −0.998259 0.0589813i \(-0.981215\pi\)
−0.550209 0.835027i \(-0.685452\pi\)
\(674\) −25.1776 + 22.1245i −0.969806 + 0.852206i
\(675\) 40.1595 + 8.72778i 1.54574 + 0.335932i
\(676\) −9.79132 5.62707i −0.376589 0.216426i
\(677\) 10.0627 + 3.41582i 0.386741 + 0.131281i 0.508036 0.861336i \(-0.330372\pi\)
−0.121296 + 0.992616i \(0.538705\pi\)
\(678\) −7.80365 45.5580i −0.299697 1.74964i
\(679\) −36.6169 28.0971i −1.40523 1.07827i
\(680\) −35.1877 9.31602i −1.34939 0.357253i
\(681\) −20.1001 10.6142i −0.770238 0.406738i
\(682\) 1.14527 + 2.75716i 0.0438546 + 0.105577i
\(683\) 31.4434 + 21.0098i 1.20315 + 0.803918i 0.985094 0.172018i \(-0.0550288\pi\)
0.218055 + 0.975936i \(0.430029\pi\)
\(684\) −4.85088 6.16662i −0.185478 0.235787i
\(685\) −9.37837 + 47.1483i −0.358329 + 1.80144i
\(686\) 38.4992 + 57.4942i 1.46991 + 2.19514i
\(687\) −21.4732 + 3.65618i −0.819256 + 0.139492i
\(688\) 1.67903 5.01170i 0.0640124 0.191069i
\(689\) −13.8571 3.71301i −0.527915 0.141454i
\(690\) −34.6437 10.2817i −1.31886 0.391419i
\(691\) 11.9652 13.6437i 0.455177 0.519030i −0.478043 0.878337i \(-0.658654\pi\)
0.933219 + 0.359307i \(0.116987\pi\)
\(692\) −5.14803 + 15.2654i −0.195699 + 0.580302i
\(693\) −55.6329 + 56.7625i −2.11332 + 2.15623i
\(694\) 36.9606 4.90337i 1.40301 0.186130i
\(695\) 29.9144 + 38.9852i 1.13472 + 1.47879i
\(696\) 3.74978 4.64448i 0.142135 0.176049i
\(697\) 3.29733 4.29717i 0.124895 0.162767i
\(698\) 14.8398 + 8.54810i 0.561695 + 0.323550i
\(699\) −9.57473 13.2207i −0.362149 0.500053i
\(700\) 76.7930 10.2655i 2.90250 0.387999i
\(701\) −11.0270 + 7.36803i −0.416485 + 0.278287i −0.746106 0.665827i \(-0.768079\pi\)
0.329621 + 0.944113i \(0.393079\pi\)
\(702\) 29.8738 + 10.6989i 1.12752 + 0.403805i
\(703\) 1.39671 0.0526777
\(704\) 3.08789 + 43.1624i 0.116379 + 1.62674i
\(705\) 3.44786 + 7.50899i 0.129854 + 0.282805i
\(706\) 2.67928 + 5.41944i 0.100836 + 0.203963i
\(707\) −30.0630 14.8254i −1.13064 0.557568i
\(708\) 29.2953 18.5032i 1.10098 0.695392i
\(709\) −11.2485 + 33.1369i −0.422445 + 1.24448i 0.502565 + 0.864539i \(0.332390\pi\)
−0.925010 + 0.379943i \(0.875944\pi\)
\(710\) 62.2090 35.9990i 2.33466 1.35102i
\(711\) −10.1002 + 9.03878i −0.378786 + 0.338981i
\(712\) 1.23592 + 6.11788i 0.0463180 + 0.229277i
\(713\) −0.975585 1.27141i −0.0365359 0.0476146i
\(714\) 20.0287 38.0199i 0.749557 1.42286i
\(715\) 83.7414 + 5.48870i 3.13175 + 0.205266i
\(716\) 4.05172 + 20.1596i 0.151420 + 0.753401i
\(717\) 20.8597 19.7349i 0.779019 0.737013i
\(718\) 35.2307 + 6.97139i 1.31480 + 0.260170i
\(719\) 35.9528 35.9528i 1.34081 1.34081i 0.445564 0.895250i \(-0.353003\pi\)
0.895250 0.445564i \(-0.146997\pi\)
\(720\) 17.0566 + 39.5978i 0.635663 + 1.47572i
\(721\) −5.24979 5.24979i −0.195512 0.195512i
\(722\) −13.6049 20.3174i −0.506323 0.756136i
\(723\) 11.3080 37.9633i 0.420551 1.41187i
\(724\) 9.81929 + 1.93287i 0.364931 + 0.0718346i
\(725\) 0.630291 9.61638i 0.0234084 0.357143i
\(726\) −43.6154 9.89324i −1.61872 0.367173i
\(727\) 27.1007 20.7951i 1.00511 0.771247i 0.0315079 0.999504i \(-0.489969\pi\)
0.973601 + 0.228256i \(0.0733024\pi\)
\(728\) 59.8208 0.178559i 2.21711 0.00661784i
\(729\) −26.6279 4.46680i −0.986220 0.165437i
\(730\) 72.4132 + 19.3259i 2.68013 + 0.715282i
\(731\) −4.48178 1.52136i −0.165765 0.0562695i
\(732\) 12.9493 + 1.18374i 0.478620 + 0.0437523i
\(733\) −3.44727 + 6.99038i −0.127328 + 0.258195i −0.951197 0.308585i \(-0.900145\pi\)
0.823869 + 0.566780i \(0.191811\pi\)
\(734\) −34.5857 11.7019i −1.27658 0.431924i
\(735\) −9.83428 + 105.269i −0.362743 + 3.88291i
\(736\) −7.57563 21.9576i −0.279241 0.809367i
\(737\) 15.1719i 0.558865i
\(738\) −6.41530 + 0.0708561i −0.236151 + 0.00260825i
\(739\) −13.7026 20.5075i −0.504060 0.754379i 0.488962 0.872305i \(-0.337376\pi\)
−0.993022 + 0.117926i \(0.962376\pi\)
\(740\) −7.41763 1.97174i −0.272678 0.0724825i
\(741\) −8.92868 3.99158i −0.328003 0.146634i
\(742\) 22.2220 5.97807i 0.815795 0.219462i
\(743\) −12.7876 9.81224i −0.469130 0.359976i 0.346980 0.937872i \(-0.387207\pi\)
−0.816110 + 0.577896i \(0.803874\pi\)
\(744\) −0.419246 + 1.86549i −0.0153703 + 0.0683922i
\(745\) −25.3606 + 19.4599i −0.929139 + 0.712954i
\(746\) 9.19841 + 7.04366i 0.336778 + 0.257887i
\(747\) 2.71473 10.5546i 0.0993267 0.386174i
\(748\) 38.6611 2.61125i 1.41359 0.0954769i
\(749\) 43.4085 + 38.0683i 1.58611 + 1.39098i
\(750\) 21.8227 + 13.3888i 0.796854 + 0.488889i
\(751\) −8.18195 + 30.5355i −0.298564 + 1.11425i 0.639782 + 0.768556i \(0.279025\pi\)
−0.938346 + 0.345698i \(0.887642\pi\)
\(752\) −2.63716 + 4.60998i −0.0961675 + 0.168109i
\(753\) 11.4330 + 4.23760i 0.416640 + 0.154427i
\(754\) 1.44440 7.29943i 0.0526019 0.265829i
\(755\) 30.0028 + 5.96793i 1.09191 + 0.217195i
\(756\) −50.0718 + 9.14718i −1.82110 + 0.332680i
\(757\) −11.0110 + 16.4792i −0.400203 + 0.598946i −0.975767 0.218810i \(-0.929782\pi\)
0.575564 + 0.817757i \(0.304782\pi\)
\(758\) −38.3304 15.8323i −1.39222 0.575055i
\(759\) 38.4420 1.45186i 1.39536 0.0526993i
\(760\) −4.30908 12.5707i −0.156307 0.455989i
\(761\) 28.5256 37.1753i 1.03405 1.34760i 0.0982179 0.995165i \(-0.468686\pi\)
0.935835 0.352439i \(-0.114648\pi\)
\(762\) −9.81439 21.3185i −0.355538 0.772288i
\(763\) −0.918965 + 2.70718i −0.0332688 + 0.0980066i
\(764\) 24.5274 + 3.17945i 0.887371 + 0.115029i
\(765\) 35.5189 15.1324i 1.28419 0.547111i
\(766\) −0.510261 + 7.90559i −0.0184365 + 0.285641i
\(767\) 21.5960 37.4054i 0.779788 1.35063i
\(768\) −14.3274 + 23.7218i −0.516997 + 0.855987i
\(769\) 7.33728 + 12.7085i 0.264589 + 0.458282i 0.967456 0.253040i \(-0.0814304\pi\)
−0.702867 + 0.711321i \(0.748097\pi\)
\(770\) −120.674 + 59.6593i −4.34880 + 2.14997i
\(771\) −0.00542311 + 0.195728i −0.000195308 + 0.00704899i
\(772\) −8.24508 + 10.7896i −0.296747 + 0.388326i
\(773\)