Properties

Label 384.2.v.a.85.28
Level $384$
Weight $2$
Character 384.85
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 85.28
Character \(\chi\) \(=\) 384.85
Dual form 384.2.v.a.253.28

$q$-expansion

\(f(q)\) \(=\) \(q+(1.19979 + 0.748670i) q^{2} +(0.634393 - 0.773010i) q^{3} +(0.878985 + 1.79649i) q^{4} +(3.32465 - 1.00852i) q^{5} +(1.33987 - 0.452498i) q^{6} +(-0.658894 - 0.131062i) q^{7} +(-0.290385 + 2.81348i) q^{8} +(-0.195090 - 0.980785i) q^{9} +O(q^{10})\) \(q+(1.19979 + 0.748670i) q^{2} +(0.634393 - 0.773010i) q^{3} +(0.878985 + 1.79649i) q^{4} +(3.32465 - 1.00852i) q^{5} +(1.33987 - 0.452498i) q^{6} +(-0.658894 - 0.131062i) q^{7} +(-0.290385 + 2.81348i) q^{8} +(-0.195090 - 0.980785i) q^{9} +(4.74393 + 1.27906i) q^{10} +(-4.01341 - 0.395286i) q^{11} +(1.94633 + 0.460218i) q^{12} +(0.0924961 - 0.304919i) q^{13} +(-0.692411 - 0.650541i) q^{14} +(1.32954 - 3.20979i) q^{15} +(-2.45477 + 3.15818i) q^{16} +(-0.921948 - 2.22578i) q^{17} +(0.500218 - 1.32279i) q^{18} +(-1.18894 + 0.635499i) q^{19} +(4.73413 + 5.08624i) q^{20} +(-0.519310 + 0.426187i) q^{21} +(-4.51930 - 3.47898i) q^{22} +(-2.01222 + 3.01150i) q^{23} +(1.99063 + 2.00932i) q^{24} +(5.87886 - 3.92813i) q^{25} +(0.339260 - 0.296589i) q^{26} +(-0.881921 - 0.471397i) q^{27} +(-0.343706 - 1.29890i) q^{28} +(-0.170668 - 1.73283i) q^{29} +(3.99824 - 2.85569i) q^{30} +(0.247500 + 0.247500i) q^{31} +(-5.30964 + 1.95133i) q^{32} +(-2.85164 + 2.85164i) q^{33} +(0.560233 - 3.36070i) q^{34} +(-2.32277 + 0.228773i) q^{35} +(1.59049 - 1.21257i) q^{36} +(-4.20593 + 7.86874i) q^{37} +(-1.90225 - 0.127656i) q^{38} +(-0.177027 - 0.264939i) q^{39} +(1.87203 + 9.64671i) q^{40} +(9.34151 + 6.24180i) q^{41} +(-0.942136 + 0.122542i) q^{42} +(0.863089 + 1.05168i) q^{43} +(-2.81760 - 7.55751i) q^{44} +(-1.63775 - 3.06402i) q^{45} +(-4.66885 + 2.10667i) q^{46} +(6.15840 - 2.55089i) q^{47} +(0.884017 + 3.90109i) q^{48} +(-6.05019 - 2.50607i) q^{49} +(9.99427 - 0.311595i) q^{50} +(-2.30543 - 0.699344i) q^{51} +(0.629087 - 0.101851i) q^{52} +(1.11288 - 11.2993i) q^{53} +(-0.705198 - 1.22584i) q^{54} +(-13.7419 + 2.73342i) q^{55} +(0.560074 - 1.81573i) q^{56} +(-0.263005 + 1.32222i) q^{57} +(1.09255 - 2.20680i) q^{58} +(3.13761 + 10.3433i) q^{59} +(6.93501 - 0.432852i) q^{60} +(-10.9249 - 8.96587i) q^{61} +(0.111652 + 0.482244i) q^{62} +0.671803i q^{63} +(-7.83135 - 1.63398i) q^{64} -1.10703i q^{65} +(-5.55630 + 1.28643i) q^{66} +(0.610952 + 0.501396i) q^{67} +(3.18822 - 3.61270i) q^{68} +(1.05138 + 3.46594i) q^{69} +(-2.95811 - 1.46451i) q^{70} +(1.19682 - 6.01682i) q^{71} +(2.81607 - 0.264078i) q^{72} +(5.01139 - 0.996828i) q^{73} +(-10.9373 + 6.29197i) q^{74} +(0.693025 - 7.03640i) q^{75} +(-2.18673 - 1.57732i) q^{76} +(2.59260 + 0.786458i) q^{77} +(-0.0140425 - 0.450405i) q^{78} +(-15.3139 - 6.34322i) q^{79} +(-4.97617 + 12.9756i) q^{80} +(-0.923880 + 0.382683i) q^{81} +(6.53479 + 14.4825i) q^{82} +(-5.70048 - 10.6648i) q^{83} +(-1.22211 - 0.558325i) q^{84} +(-5.30991 - 6.47014i) q^{85} +(0.248165 + 1.90796i) q^{86} +(-1.44776 - 0.967364i) q^{87} +(2.27756 - 11.1769i) q^{88} +(3.08418 + 4.61580i) q^{89} +(0.328984 - 4.90231i) q^{90} +(-0.100908 + 0.188787i) q^{91} +(-7.17884 - 0.967873i) q^{92} +(0.348333 - 0.0343078i) q^{93} +(9.29856 + 1.55008i) q^{94} +(-3.31188 + 3.31188i) q^{95} +(-1.86000 + 5.34232i) q^{96} +(6.58074 + 6.58074i) q^{97} +(-5.38273 - 7.53636i) q^{98} +(0.395286 + 4.01341i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{29}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19979 + 0.748670i 0.848379 + 0.529390i
\(3\) 0.634393 0.773010i 0.366267 0.446298i
\(4\) 0.878985 + 1.79649i 0.439493 + 0.898246i
\(5\) 3.32465 1.00852i 1.48683 0.451025i 0.560633 0.828064i \(-0.310558\pi\)
0.926197 + 0.377039i \(0.123058\pi\)
\(6\) 1.33987 0.452498i 0.546999 0.184731i
\(7\) −0.658894 0.131062i −0.249039 0.0495368i 0.0689924 0.997617i \(-0.478022\pi\)
−0.318031 + 0.948080i \(0.603022\pi\)
\(8\) −0.290385 + 2.81348i −0.102666 + 0.994716i
\(9\) −0.195090 0.980785i −0.0650301 0.326928i
\(10\) 4.74393 + 1.27906i 1.50016 + 0.404473i
\(11\) −4.01341 0.395286i −1.21009 0.119183i −0.527223 0.849727i \(-0.676767\pi\)
−0.682866 + 0.730544i \(0.739267\pi\)
\(12\) 1.94633 + 0.460218i 0.561857 + 0.132854i
\(13\) 0.0924961 0.304919i 0.0256538 0.0845693i −0.943179 0.332286i \(-0.892180\pi\)
0.968833 + 0.247716i \(0.0796802\pi\)
\(14\) −0.692411 0.650541i −0.185055 0.173865i
\(15\) 1.32954 3.20979i 0.343286 0.828765i
\(16\) −2.45477 + 3.15818i −0.613693 + 0.789545i
\(17\) −0.921948 2.22578i −0.223605 0.539831i 0.771769 0.635903i \(-0.219372\pi\)
−0.995374 + 0.0960719i \(0.969372\pi\)
\(18\) 0.500218 1.32279i 0.117902 0.311785i
\(19\) −1.18894 + 0.635499i −0.272760 + 0.145793i −0.602106 0.798416i \(-0.705672\pi\)
0.329346 + 0.944209i \(0.393172\pi\)
\(20\) 4.73413 + 5.08624i 1.05858 + 1.13732i
\(21\) −0.519310 + 0.426187i −0.113323 + 0.0930016i
\(22\) −4.51930 3.47898i −0.963519 0.741721i
\(23\) −2.01222 + 3.01150i −0.419576 + 0.627940i −0.979700 0.200469i \(-0.935754\pi\)
0.560124 + 0.828409i \(0.310754\pi\)
\(24\) 1.99063 + 2.00932i 0.406336 + 0.410152i
\(25\) 5.87886 3.92813i 1.17577 0.785626i
\(26\) 0.339260 0.296589i 0.0665343 0.0581659i
\(27\) −0.881921 0.471397i −0.169726 0.0907203i
\(28\) −0.343706 1.29890i −0.0649543 0.245469i
\(29\) −0.170668 1.73283i −0.0316923 0.321778i −0.997940 0.0641610i \(-0.979563\pi\)
0.966247 0.257617i \(-0.0829371\pi\)
\(30\) 3.99824 2.85569i 0.729976 0.521375i
\(31\) 0.247500 + 0.247500i 0.0444524 + 0.0444524i 0.728984 0.684531i \(-0.239993\pi\)
−0.684531 + 0.728984i \(0.739993\pi\)
\(32\) −5.30964 + 1.95133i −0.938621 + 0.344950i
\(33\) −2.85164 + 2.85164i −0.496407 + 0.496407i
\(34\) 0.560233 3.36070i 0.0960791 0.576356i
\(35\) −2.32277 + 0.228773i −0.392621 + 0.0386697i
\(36\) 1.59049 1.21257i 0.265082 0.202096i
\(37\) −4.20593 + 7.86874i −0.691451 + 1.29361i 0.253797 + 0.967258i \(0.418321\pi\)
−0.945247 + 0.326355i \(0.894179\pi\)
\(38\) −1.90225 0.127656i −0.308586 0.0207086i
\(39\) −0.177027 0.264939i −0.0283469 0.0424242i
\(40\) 1.87203 + 9.64671i 0.295994 + 1.52528i
\(41\) 9.34151 + 6.24180i 1.45890 + 0.974805i 0.996090 + 0.0883467i \(0.0281583\pi\)
0.462809 + 0.886458i \(0.346842\pi\)
\(42\) −0.942136 + 0.122542i −0.145375 + 0.0189086i
\(43\) 0.863089 + 1.05168i 0.131620 + 0.160379i 0.834650 0.550781i \(-0.185670\pi\)
−0.703030 + 0.711160i \(0.748170\pi\)
\(44\) −2.81760 7.55751i −0.424769 1.13934i
\(45\) −1.63775 3.06402i −0.244142 0.456757i
\(46\) −4.66885 + 2.10667i −0.688385 + 0.310612i
\(47\) 6.15840 2.55089i 0.898296 0.372086i 0.114731 0.993397i \(-0.463399\pi\)
0.783565 + 0.621310i \(0.213399\pi\)
\(48\) 0.884017 + 3.90109i 0.127597 + 0.563074i
\(49\) −6.05019 2.50607i −0.864313 0.358010i
\(50\) 9.99427 0.311595i 1.41340 0.0440662i
\(51\) −2.30543 0.699344i −0.322825 0.0979278i
\(52\) 0.629087 0.101851i 0.0872387 0.0141241i
\(53\) 1.11288 11.2993i 0.152866 1.55207i −0.546593 0.837399i \(-0.684075\pi\)
0.699459 0.714673i \(-0.253425\pi\)
\(54\) −0.705198 1.22584i −0.0959653 0.166816i
\(55\) −13.7419 + 2.73342i −1.85295 + 0.368575i
\(56\) 0.560074 1.81573i 0.0748430 0.242637i
\(57\) −0.263005 + 1.32222i −0.0348359 + 0.175132i
\(58\) 1.09255 2.20680i 0.143459 0.289767i
\(59\) 3.13761 + 10.3433i 0.408482 + 1.34658i 0.884250 + 0.467014i \(0.154670\pi\)
−0.475768 + 0.879571i \(0.657830\pi\)
\(60\) 6.93501 0.432852i 0.895307 0.0558810i
\(61\) −10.9249 8.96587i −1.39880 1.14796i −0.969584 0.244758i \(-0.921292\pi\)
−0.429211 0.903204i \(-0.641208\pi\)
\(62\) 0.111652 + 0.482244i 0.0141798 + 0.0612451i
\(63\) 0.671803i 0.0846392i
\(64\) −7.83135 1.63398i −0.978919 0.204248i
\(65\) 1.10703i 0.137311i
\(66\) −5.55630 + 1.28643i −0.683934 + 0.158348i
\(67\) 0.610952 + 0.501396i 0.0746397 + 0.0612552i 0.670973 0.741481i \(-0.265876\pi\)
−0.596334 + 0.802737i \(0.703376\pi\)
\(68\) 3.18822 3.61270i 0.386628 0.438104i
\(69\) 1.05138 + 3.46594i 0.126571 + 0.417250i
\(70\) −2.95811 1.46451i −0.353562 0.175043i
\(71\) 1.19682 6.01682i 0.142036 0.714065i −0.842474 0.538737i \(-0.818902\pi\)
0.984510 0.175328i \(-0.0560985\pi\)
\(72\) 2.81607 0.264078i 0.331877 0.0311219i
\(73\) 5.01139 0.996828i 0.586539 0.116670i 0.107105 0.994248i \(-0.465842\pi\)
0.479434 + 0.877578i \(0.340842\pi\)
\(74\) −10.9373 + 6.29197i −1.27144 + 0.731427i
\(75\) 0.693025 7.03640i 0.0800236 0.812494i
\(76\) −2.18673 1.57732i −0.250835 0.180931i
\(77\) 2.59260 + 0.786458i 0.295455 + 0.0896252i
\(78\) −0.0140425 0.450405i −0.00159000 0.0509984i
\(79\) −15.3139 6.34322i −1.72295 0.713668i −0.999734 0.0230438i \(-0.992664\pi\)
−0.723213 0.690625i \(-0.757336\pi\)
\(80\) −4.97617 + 12.9756i −0.556352 + 1.45071i
\(81\) −0.923880 + 0.382683i −0.102653 + 0.0425204i
\(82\) 6.53479 + 14.4825i 0.721646 + 1.59933i
\(83\) −5.70048 10.6648i −0.625709 1.17062i −0.972550 0.232695i \(-0.925246\pi\)
0.346841 0.937924i \(-0.387254\pi\)
\(84\) −1.22211 0.558325i −0.133343 0.0609183i
\(85\) −5.30991 6.47014i −0.575941 0.701786i
\(86\) 0.248165 + 1.90796i 0.0267603 + 0.205741i
\(87\) −1.44776 0.967364i −0.155216 0.103712i
\(88\) 2.27756 11.1769i 0.242789 1.19146i
\(89\) 3.08418 + 4.61580i 0.326922 + 0.489274i 0.958127 0.286342i \(-0.0924394\pi\)
−0.631205 + 0.775616i \(0.717439\pi\)
\(90\) 0.328984 4.90231i 0.0346780 0.516749i
\(91\) −0.100908 + 0.188787i −0.0105781 + 0.0197902i
\(92\) −7.17884 0.967873i −0.748446 0.100908i
\(93\) 0.348333 0.0343078i 0.0361204 0.00355755i
\(94\) 9.29856 + 1.55008i 0.959073 + 0.159879i
\(95\) −3.31188 + 3.31188i −0.339792 + 0.339792i
\(96\) −1.86000 + 5.34232i −0.189835 + 0.545248i
\(97\) 6.58074 + 6.58074i 0.668173 + 0.668173i 0.957293 0.289120i \(-0.0933626\pi\)
−0.289120 + 0.957293i \(0.593363\pi\)
\(98\) −5.38273 7.53636i −0.543738 0.761287i
\(99\) 0.395286 + 4.01341i 0.0397278 + 0.403363i
\(100\) 12.2243 + 7.10856i 1.22243 + 0.710856i
\(101\) 10.0551 + 5.37455i 1.00052 + 0.534787i 0.888479 0.458917i \(-0.151762\pi\)
0.112037 + 0.993704i \(0.464262\pi\)
\(102\) −2.24245 2.56507i −0.222036 0.253980i
\(103\) −10.4696 + 6.99555i −1.03160 + 0.689292i −0.951548 0.307499i \(-0.900508\pi\)
−0.0800498 + 0.996791i \(0.525508\pi\)
\(104\) 0.831024 + 0.348780i 0.0814886 + 0.0342007i
\(105\) −1.29671 + 1.94066i −0.126546 + 0.189389i
\(106\) 9.79464 12.7235i 0.951339 1.23582i
\(107\) 12.3138 10.1057i 1.19042 0.976953i 0.190432 0.981700i \(-0.439011\pi\)
0.999989 + 0.00474748i \(0.00151118\pi\)
\(108\) 0.0716650 1.99872i 0.00689597 0.192327i
\(109\) 11.8295 6.32298i 1.13306 0.605631i 0.205256 0.978708i \(-0.434197\pi\)
0.927800 + 0.373077i \(0.121697\pi\)
\(110\) −18.5338 7.00859i −1.76712 0.668243i
\(111\) 3.41441 + 8.24310i 0.324081 + 0.782401i
\(112\) 2.03135 1.75918i 0.191945 0.166227i
\(113\) −4.83991 + 11.6846i −0.455300 + 1.09919i 0.514979 + 0.857203i \(0.327800\pi\)
−0.970279 + 0.241989i \(0.922200\pi\)
\(114\) −1.30545 + 1.38948i −0.122267 + 0.130136i
\(115\) −3.65276 + 12.0416i −0.340622 + 1.12288i
\(116\) 2.96299 1.82973i 0.275107 0.169886i
\(117\) −0.317105 0.0312321i −0.0293164 0.00288741i
\(118\) −3.97926 + 14.7588i −0.366321 + 1.35866i
\(119\) 0.315751 + 1.58739i 0.0289448 + 0.145515i
\(120\) 8.64461 + 4.67271i 0.789142 + 0.426558i
\(121\) 5.16256 + 1.02690i 0.469324 + 0.0933544i
\(122\) −6.39514 18.9363i −0.578989 1.71441i
\(123\) 10.7512 3.26133i 0.969400 0.294064i
\(124\) −0.227083 + 0.662182i −0.0203927 + 0.0594657i
\(125\) 4.56336 5.56047i 0.408159 0.497343i
\(126\) −0.502959 + 0.806021i −0.0448071 + 0.0718061i
\(127\) −4.67131 −0.414512 −0.207256 0.978287i \(-0.566453\pi\)
−0.207256 + 0.978287i \(0.566453\pi\)
\(128\) −8.17265 7.82354i −0.722367 0.691510i
\(129\) 1.36050 0.119785
\(130\) 0.828804 1.32821i 0.0726909 0.116492i
\(131\) 11.7415 14.3070i 1.02586 1.25001i 0.0580497 0.998314i \(-0.481512\pi\)
0.967806 0.251696i \(-0.0809882\pi\)
\(132\) −7.62950 2.61640i −0.664063 0.227728i
\(133\) 0.866672 0.262902i 0.0751500 0.0227965i
\(134\) 0.357634 + 1.05897i 0.0308948 + 0.0914811i
\(135\) −3.40750 0.677794i −0.293271 0.0583352i
\(136\) 6.52991 1.94755i 0.559935 0.167001i
\(137\) 2.66391 + 13.3924i 0.227593 + 1.14419i 0.910444 + 0.413631i \(0.135740\pi\)
−0.682851 + 0.730558i \(0.739260\pi\)
\(138\) −1.33341 + 4.94553i −0.113507 + 0.420991i
\(139\) 3.54297 + 0.348952i 0.300511 + 0.0295978i 0.247149 0.968977i \(-0.420506\pi\)
0.0533620 + 0.998575i \(0.483006\pi\)
\(140\) −2.45267 3.97176i −0.207289 0.335675i
\(141\) 1.93498 6.37878i 0.162955 0.537190i
\(142\) 5.94055 6.32289i 0.498520 0.530605i
\(143\) −0.491755 + 1.18720i −0.0411226 + 0.0992788i
\(144\) 3.57640 + 1.79147i 0.298033 + 0.149289i
\(145\) −2.31501 5.58892i −0.192251 0.464135i
\(146\) 6.75891 + 2.55590i 0.559371 + 0.211528i
\(147\) −5.77542 + 3.08703i −0.476349 + 0.254614i
\(148\) −17.8331 0.639415i −1.46587 0.0525596i
\(149\) 8.33834 6.84310i 0.683104 0.560609i −0.227556 0.973765i \(-0.573074\pi\)
0.910660 + 0.413156i \(0.135574\pi\)
\(150\) 6.09943 7.92335i 0.498016 0.646939i
\(151\) −3.27447 + 4.90059i −0.266472 + 0.398804i −0.940442 0.339955i \(-0.889588\pi\)
0.673969 + 0.738760i \(0.264588\pi\)
\(152\) −1.44272 3.52959i −0.117020 0.286287i
\(153\) −2.00315 + 1.33846i −0.161945 + 0.108208i
\(154\) 2.52178 + 2.88459i 0.203211 + 0.232447i
\(155\) 1.07246 + 0.573243i 0.0861423 + 0.0460440i
\(156\) 0.320357 0.550904i 0.0256491 0.0441076i
\(157\) 0.318875 + 3.23759i 0.0254490 + 0.258388i 0.999488 + 0.0320062i \(0.0101896\pi\)
−0.974039 + 0.226382i \(0.927310\pi\)
\(158\) −13.6245 19.0756i −1.08390 1.51757i
\(159\) −8.02844 8.02844i −0.636696 0.636696i
\(160\) −15.6848 + 11.8424i −1.23999 + 0.936225i
\(161\) 1.72053 1.72053i 0.135597 0.135597i
\(162\) −1.39496 0.232542i −0.109599 0.0182702i
\(163\) 6.01787 0.592708i 0.471356 0.0464245i 0.140449 0.990088i \(-0.455145\pi\)
0.330907 + 0.943663i \(0.392645\pi\)
\(164\) −3.00229 + 22.2684i −0.234440 + 1.73887i
\(165\) −6.60477 + 12.3567i −0.514181 + 0.961965i
\(166\) 1.14509 17.0633i 0.0888759 1.32437i
\(167\) 10.4969 + 15.7098i 0.812277 + 1.21566i 0.973488 + 0.228739i \(0.0734602\pi\)
−0.161211 + 0.986920i \(0.551540\pi\)
\(168\) −1.04827 1.58483i −0.0808757 0.122272i
\(169\) 10.7247 + 7.16601i 0.824976 + 0.551231i
\(170\) −1.52676 11.7382i −0.117097 0.900277i
\(171\) 0.855238 + 1.04211i 0.0654017 + 0.0796922i
\(172\) −1.13069 + 2.47494i −0.0862141 + 0.188713i
\(173\) −8.57003 16.0334i −0.651568 1.21900i −0.963198 0.268794i \(-0.913375\pi\)
0.311630 0.950204i \(-0.399125\pi\)
\(174\) −1.01277 2.24453i −0.0767781 0.170157i
\(175\) −4.38838 + 1.81773i −0.331730 + 0.137407i
\(176\) 11.1004 11.7047i 0.836723 0.882277i
\(177\) 9.98597 + 4.13632i 0.750591 + 0.310905i
\(178\) 0.244649 + 7.84701i 0.0183372 + 0.588159i
\(179\) −6.59746 2.00132i −0.493117 0.149585i 0.0339253 0.999424i \(-0.489199\pi\)
−0.527043 + 0.849839i \(0.676699\pi\)
\(180\) 4.06493 5.63544i 0.302982 0.420041i
\(181\) −0.314349 + 3.19164i −0.0233653 + 0.237232i 0.976408 + 0.215935i \(0.0692798\pi\)
−0.999773 + 0.0212978i \(0.993220\pi\)
\(182\) −0.262408 + 0.150957i −0.0194510 + 0.0111897i
\(183\) −13.8614 + 2.75721i −1.02467 + 0.203819i
\(184\) −7.88847 6.53583i −0.581546 0.481828i
\(185\) −6.04746 + 30.4026i −0.444618 + 2.23525i
\(186\) 0.443611 + 0.219624i 0.0325271 + 0.0161036i
\(187\) 2.82034 + 9.29740i 0.206243 + 0.679893i
\(188\) 9.99581 + 8.82133i 0.729019 + 0.643361i
\(189\) 0.519310 + 0.426187i 0.0377743 + 0.0310005i
\(190\) −6.45307 + 1.49405i −0.468155 + 0.108390i
\(191\) 0.267025i 0.0193212i −0.999953 0.00966062i \(-0.996925\pi\)
0.999953 0.00966062i \(-0.00307512\pi\)
\(192\) −6.23124 + 5.01713i −0.449701 + 0.362080i
\(193\) 3.35636i 0.241596i −0.992677 0.120798i \(-0.961455\pi\)
0.992677 0.120798i \(-0.0385453\pi\)
\(194\) 2.96869 + 12.8223i 0.213140 + 0.920588i
\(195\) −0.855749 0.702295i −0.0612815 0.0502924i
\(196\) −0.815890 13.0719i −0.0582779 0.933709i
\(197\) −0.233630 0.770177i −0.0166455 0.0548728i 0.948224 0.317602i \(-0.102878\pi\)
−0.964870 + 0.262729i \(0.915378\pi\)
\(198\) −2.53046 + 5.11118i −0.179832 + 0.363236i
\(199\) −1.23322 + 6.19981i −0.0874206 + 0.439493i 0.912141 + 0.409877i \(0.134428\pi\)
−0.999561 + 0.0296159i \(0.990572\pi\)
\(200\) 9.34459 + 17.6807i 0.660762 + 1.25022i
\(201\) 0.775168 0.154191i 0.0546761 0.0108758i
\(202\) 8.04019 + 13.9762i 0.565706 + 0.983365i
\(203\) −0.114655 + 1.16412i −0.00804723 + 0.0817049i
\(204\) −0.770071 4.75640i −0.0539158 0.333015i
\(205\) 37.3523 + 11.3307i 2.60880 + 0.791370i
\(206\) −17.7986 + 0.554915i −1.24009 + 0.0386628i
\(207\) 3.34619 + 1.38604i 0.232577 + 0.0963364i
\(208\) 0.735932 + 1.04063i 0.0510277 + 0.0721544i
\(209\) 5.02289 2.08055i 0.347440 0.143915i
\(210\) −3.00869 + 1.35758i −0.207619 + 0.0936816i
\(211\) 13.4497 + 25.1626i 0.925913 + 1.73226i 0.629096 + 0.777327i \(0.283425\pi\)
0.296817 + 0.954934i \(0.404075\pi\)
\(212\) 21.2772 7.93260i 1.46133 0.544813i
\(213\) −3.89181 4.74218i −0.266662 0.324929i
\(214\) 22.3398 2.90570i 1.52712 0.198629i
\(215\) 3.93011 + 2.62602i 0.268032 + 0.179093i
\(216\) 1.58236 2.34438i 0.107666 0.159515i
\(217\) −0.130639 0.195514i −0.00886832 0.0132724i
\(218\) 18.9267 + 1.27013i 1.28188 + 0.0860241i
\(219\) 2.40863 4.50624i 0.162760 0.304503i
\(220\) −16.9895 22.2845i −1.14543 1.50242i
\(221\) −0.763959 + 0.0752434i −0.0513895 + 0.00506142i
\(222\) −2.07480 + 12.4462i −0.139252 + 0.835337i
\(223\) 5.66559 5.66559i 0.379396 0.379396i −0.491488 0.870884i \(-0.663547\pi\)
0.870884 + 0.491488i \(0.163547\pi\)
\(224\) 3.75424 0.589830i 0.250841 0.0394096i
\(225\) −4.99956 4.99956i −0.333304 0.333304i
\(226\) −14.5548 + 10.3955i −0.968168 + 0.691499i
\(227\) 0.0292558 + 0.297039i 0.00194177 + 0.0197152i 0.996107 0.0881548i \(-0.0280970\pi\)
−0.994165 + 0.107870i \(0.965597\pi\)
\(228\) −2.60653 + 0.689721i −0.172622 + 0.0456779i
\(229\) −17.2366 9.21316i −1.13903 0.608823i −0.209585 0.977790i \(-0.567211\pi\)
−0.929442 + 0.368967i \(0.879711\pi\)
\(230\) −13.3977 + 11.7126i −0.883418 + 0.772306i
\(231\) 2.25267 1.50519i 0.148215 0.0990340i
\(232\) 4.92483 + 0.0230134i 0.323331 + 0.00151090i
\(233\) −6.48007 + 9.69810i −0.424523 + 0.635344i −0.980654 0.195751i \(-0.937286\pi\)
0.556130 + 0.831095i \(0.312286\pi\)
\(234\) −0.357076 0.274879i −0.0233428 0.0179694i
\(235\) 17.9019 14.6917i 1.16779 0.958383i
\(236\) −15.8238 + 14.7283i −1.03004 + 0.958731i
\(237\) −14.6184 + 7.81370i −0.949568 + 0.507555i
\(238\) −0.809595 + 2.14092i −0.0524782 + 0.138775i
\(239\) −2.31233 5.58246i −0.149572 0.361100i 0.831280 0.555854i \(-0.187609\pi\)
−0.980852 + 0.194755i \(0.937609\pi\)
\(240\) 6.87339 + 12.0782i 0.443675 + 0.779646i
\(241\) 1.48411 3.58296i 0.0956000 0.230799i −0.868844 0.495086i \(-0.835137\pi\)
0.964444 + 0.264287i \(0.0851366\pi\)
\(242\) 5.42518 + 5.09712i 0.348744 + 0.327655i
\(243\) −0.290285 + 0.956940i −0.0186218 + 0.0613878i
\(244\) 6.50425 27.5074i 0.416392 1.76098i
\(245\) −22.6422 2.23007i −1.44656 0.142474i
\(246\) 15.3408 + 4.13617i 0.978093 + 0.263713i
\(247\) 0.0838038 + 0.421310i 0.00533231 + 0.0268073i
\(248\) −0.768208 + 0.624467i −0.0487813 + 0.0396537i
\(249\) −11.8604 2.35918i −0.751621 0.149507i
\(250\) 9.63802 3.25493i 0.609562 0.205860i
\(251\) 28.3456 8.59855i 1.78916 0.542736i 0.791503 0.611165i \(-0.209299\pi\)
0.997656 + 0.0684292i \(0.0217987\pi\)
\(252\) −1.20689 + 0.590504i −0.0760268 + 0.0371983i
\(253\) 9.26625 11.2910i 0.582564 0.709857i
\(254\) −5.60458 3.49727i −0.351663 0.219438i
\(255\) −8.37006 −0.524154
\(256\) −3.94821 15.5052i −0.246763 0.969076i
\(257\) −11.2020 −0.698759 −0.349380 0.936981i \(-0.613608\pi\)
−0.349380 + 0.936981i \(0.613608\pi\)
\(258\) 1.63231 + 1.01856i 0.101623 + 0.0634130i
\(259\) 3.80256 4.63343i 0.236279 0.287907i
\(260\) 1.98878 0.973067i 0.123339 0.0603471i
\(261\) −1.66623 + 0.505446i −0.103137 + 0.0312863i
\(262\) 24.7985 8.37490i 1.53206 0.517403i
\(263\) 28.5848 + 5.68587i 1.76261 + 0.350606i 0.966917 0.255091i \(-0.0821053\pi\)
0.795696 + 0.605696i \(0.207105\pi\)
\(264\) −7.19496 8.85111i −0.442819 0.544748i
\(265\) −7.69562 38.6885i −0.472738 2.37661i
\(266\) 1.23665 + 0.333425i 0.0758239 + 0.0204436i
\(267\) 5.52464 + 0.544130i 0.338103 + 0.0333002i
\(268\) −0.363735 + 1.53829i −0.0222187 + 0.0939661i
\(269\) −7.39724 + 24.3854i −0.451017 + 1.48681i 0.377059 + 0.926189i \(0.376936\pi\)
−0.828076 + 0.560616i \(0.810564\pi\)
\(270\) −3.58083 3.36430i −0.217923 0.204745i
\(271\) 9.38769 22.6639i 0.570262 1.37673i −0.331071 0.943606i \(-0.607410\pi\)
0.901333 0.433128i \(-0.142590\pi\)
\(272\) 9.29259 + 2.55210i 0.563446 + 0.154744i
\(273\) 0.0819183 + 0.197768i 0.00495792 + 0.0119695i
\(274\) −6.83035 + 18.0624i −0.412637 + 1.09119i
\(275\) −25.1470 + 13.4414i −1.51642 + 0.810544i
\(276\) −5.30238 + 4.93530i −0.319166 + 0.297070i
\(277\) 0.729919 0.599029i 0.0438566 0.0359922i −0.612210 0.790695i \(-0.709719\pi\)
0.656066 + 0.754703i \(0.272219\pi\)
\(278\) 3.98957 + 3.07119i 0.239278 + 0.184198i
\(279\) 0.194460 0.291030i 0.0116420 0.0174235i
\(280\) 0.0308484 6.60151i 0.00184354 0.394516i
\(281\) 12.5623 8.39387i 0.749405 0.500736i −0.121255 0.992621i \(-0.538692\pi\)
0.870660 + 0.491885i \(0.163692\pi\)
\(282\) 7.09717 6.20452i 0.422631 0.369474i
\(283\) −14.6011 7.80446i −0.867947 0.463927i −0.0235983 0.999722i \(-0.507512\pi\)
−0.844349 + 0.535794i \(0.820012\pi\)
\(284\) 11.8612 3.13862i 0.703830 0.186243i
\(285\) 0.459084 + 4.66116i 0.0271938 + 0.276103i
\(286\) −1.47883 + 1.05623i −0.0874448 + 0.0624561i
\(287\) −5.33700 5.33700i −0.315033 0.315033i
\(288\) 2.94970 + 4.82693i 0.173813 + 0.284430i
\(289\) 7.91671 7.91671i 0.465689 0.465689i
\(290\) 1.40674 8.43870i 0.0826067 0.495538i
\(291\) 9.26176 0.912204i 0.542934 0.0534743i
\(292\) 6.19573 + 8.12673i 0.362578 + 0.475581i
\(293\) −8.48821 + 15.8803i −0.495886 + 0.927738i 0.502131 + 0.864792i \(0.332550\pi\)
−0.998017 + 0.0629462i \(0.979950\pi\)
\(294\) −9.24045 0.620108i −0.538914 0.0361654i
\(295\) 20.8629 + 31.2236i 1.21469 + 1.81791i
\(296\) −20.9172 14.1183i −1.21579 0.820607i
\(297\) 3.35317 + 2.24052i 0.194571 + 0.130008i
\(298\) 15.1275 1.96760i 0.876311 0.113980i
\(299\) 0.732140 + 0.892115i 0.0423407 + 0.0515923i
\(300\) 13.2500 4.93988i 0.764989 0.285204i
\(301\) −0.430849 0.806062i −0.0248337 0.0464607i
\(302\) −7.59760 + 3.42817i −0.437193 + 0.197269i
\(303\) 10.5334 4.36310i 0.605131 0.250653i
\(304\) 0.911542 5.31488i 0.0522805 0.304829i
\(305\) −45.3639 18.7904i −2.59753 1.07593i
\(306\) −3.40542 + 0.106172i −0.194675 + 0.00606946i
\(307\) −3.23394 0.981006i −0.184571 0.0559889i 0.196646 0.980475i \(-0.436995\pi\)
−0.381217 + 0.924486i \(0.624495\pi\)
\(308\) 0.865995 + 5.34888i 0.0493446 + 0.304781i
\(309\) −1.23420 + 12.5310i −0.0702111 + 0.712865i
\(310\) 0.857558 + 1.49069i 0.0487060 + 0.0846656i
\(311\) 14.1648 2.81756i 0.803213 0.159769i 0.223621 0.974676i \(-0.428212\pi\)
0.579592 + 0.814907i \(0.303212\pi\)
\(312\) 0.796807 0.421127i 0.0451103 0.0238416i
\(313\) −0.252656 + 1.27019i −0.0142810 + 0.0717953i −0.987269 0.159062i \(-0.949153\pi\)
0.972988 + 0.230857i \(0.0741530\pi\)
\(314\) −2.04131 + 4.12315i −0.115198 + 0.232683i
\(315\) 0.677528 + 2.23351i 0.0381744 + 0.125844i
\(316\) −2.06513 33.0869i −0.116173 1.86128i
\(317\) −17.3728 14.2575i −0.975756 0.800782i 0.00420105 0.999991i \(-0.498663\pi\)
−0.979957 + 0.199209i \(0.936163\pi\)
\(318\) −3.62177 15.6431i −0.203099 0.877220i
\(319\) 7.02200i 0.393156i
\(320\) −27.6845 + 2.46567i −1.54761 + 0.137835i
\(321\) 15.9297i 0.889108i
\(322\) 3.35238 0.776163i 0.186821 0.0432539i
\(323\) 2.51062 + 2.06041i 0.139695 + 0.114644i
\(324\) −1.49956 1.32337i −0.0833091 0.0735205i
\(325\) −0.653989 2.15591i −0.0362768 0.119589i
\(326\) 7.66391 + 3.79427i 0.424465 + 0.210145i
\(327\) 2.61680 13.1555i 0.144709 0.727504i
\(328\) −20.2738 + 24.4696i −1.11943 + 1.35111i
\(329\) −4.39206 + 0.873635i −0.242142 + 0.0481651i
\(330\) −17.1754 + 9.88058i −0.945475 + 0.543908i
\(331\) −0.107336 + 1.08980i −0.00589973 + 0.0599010i −0.997684 0.0680223i \(-0.978331\pi\)
0.991784 + 0.127923i \(0.0408311\pi\)
\(332\) 14.1487 19.6151i 0.776510 1.07652i
\(333\) 8.53808 + 2.59000i 0.467884 + 0.141931i
\(334\) 0.832659 + 26.7072i 0.0455611 + 1.46135i
\(335\) 2.53687 + 1.05081i 0.138604 + 0.0574118i
\(336\) −0.0711877 2.68627i −0.00388361 0.146548i
\(337\) −22.6322 + 9.37457i −1.23286 + 0.510665i −0.901475 0.432832i \(-0.857514\pi\)
−0.331380 + 0.943497i \(0.607514\pi\)
\(338\) 7.50238 + 16.6269i 0.408076 + 0.904387i
\(339\) 5.96189 + 11.1539i 0.323805 + 0.605797i
\(340\) 6.95623 15.2264i 0.377255 0.825766i
\(341\) −0.895487 1.09115i −0.0484933 0.0590893i
\(342\) 0.245907 + 1.89060i 0.0132971 + 0.102232i
\(343\) 7.56807 + 5.05682i 0.408637 + 0.273043i
\(344\) −3.20950 + 2.12289i −0.173045 + 0.114459i
\(345\) 6.99096 + 10.4627i 0.376380 + 0.563293i
\(346\) 1.72151 25.6528i 0.0925489 1.37910i
\(347\) 9.85972 18.4462i 0.529297 0.990246i −0.465172 0.885220i \(-0.654008\pi\)
0.994470 0.105026i \(-0.0334925\pi\)
\(348\) 0.465300 3.45119i 0.0249427 0.185003i
\(349\) −19.9764 + 1.96750i −1.06931 + 0.105318i −0.617326 0.786708i \(-0.711784\pi\)
−0.451985 + 0.892026i \(0.649284\pi\)
\(350\) −6.62600 1.10456i −0.354175 0.0590413i
\(351\) −0.225312 + 0.225312i −0.0120263 + 0.0120263i
\(352\) 22.0811 5.73268i 1.17693 0.305553i
\(353\) −1.74910 1.74910i −0.0930950 0.0930950i 0.659026 0.752121i \(-0.270969\pi\)
−0.752121 + 0.659026i \(0.770969\pi\)
\(354\) 8.88431 + 12.4389i 0.472195 + 0.661121i
\(355\) −2.08909 21.2109i −0.110877 1.12576i
\(356\) −5.58130 + 9.59792i −0.295808 + 0.508689i
\(357\) 1.42738 + 0.762948i 0.0755448 + 0.0403795i
\(358\) −6.41723 7.34048i −0.339161 0.387956i
\(359\) −19.4266 + 12.9804i −1.02530 + 0.685082i −0.950055 0.312083i \(-0.898973\pi\)
−0.0752428 + 0.997165i \(0.523973\pi\)
\(360\) 9.09614 3.71804i 0.479409 0.195958i
\(361\) −9.54613 + 14.2868i −0.502428 + 0.751936i
\(362\) −2.76663 + 3.59394i −0.145411 + 0.188893i
\(363\) 4.06890 3.33926i 0.213562 0.175266i
\(364\) −0.427851 0.0153408i −0.0224255 0.000804077i
\(365\) 15.6558 8.36821i 0.819463 0.438012i
\(366\) −18.6950 7.06957i −0.977204 0.369532i
\(367\) 6.03988 + 14.5816i 0.315279 + 0.761151i 0.999492 + 0.0318690i \(0.0101459\pi\)
−0.684213 + 0.729282i \(0.739854\pi\)
\(368\) −4.57132 13.7475i −0.238296 0.716637i
\(369\) 4.29942 10.3797i 0.223819 0.540347i
\(370\) −30.0172 + 31.9492i −1.56052 + 1.66096i
\(371\) −2.21417 + 7.29915i −0.114954 + 0.378953i
\(372\) 0.367813 + 0.595621i 0.0190702 + 0.0308815i
\(373\) −14.5153 1.42964i −0.751575 0.0740237i −0.285027 0.958519i \(-0.592003\pi\)
−0.466548 + 0.884496i \(0.654503\pi\)
\(374\) −3.57688 + 13.2664i −0.184956 + 0.685990i
\(375\) −1.40334 7.05505i −0.0724679 0.364321i
\(376\) 5.38859 + 18.0673i 0.277895 + 0.931750i
\(377\) −0.544157 0.108240i −0.0280255 0.00557462i
\(378\) 0.303989 + 0.900127i 0.0156355 + 0.0462975i
\(379\) −7.73825 + 2.34737i −0.397487 + 0.120576i −0.482699 0.875786i \(-0.660343\pi\)
0.0852114 + 0.996363i \(0.472843\pi\)
\(380\) −8.86087 3.03868i −0.454553 0.155881i
\(381\) −2.96345 + 3.61097i −0.151822 + 0.184996i
\(382\) 0.199914 0.320373i 0.0102285 0.0163917i
\(383\) −28.2949 −1.44580 −0.722900 0.690952i \(-0.757191\pi\)
−0.722900 + 0.690952i \(0.757191\pi\)
\(384\) −11.2324 + 1.35435i −0.573199 + 0.0691137i
\(385\) 9.41268 0.479714
\(386\) 2.51280 4.02692i 0.127898 0.204965i
\(387\) 0.863089 1.05168i 0.0438733 0.0534598i
\(388\) −6.03788 + 17.6066i −0.306527 + 0.893841i
\(389\) −15.0482 + 4.56484i −0.762977 + 0.231446i −0.647709 0.761888i \(-0.724273\pi\)
−0.115268 + 0.993334i \(0.536773\pi\)
\(390\) −0.500930 1.48328i −0.0253656 0.0751088i
\(391\) 8.55809 + 1.70231i 0.432801 + 0.0860895i
\(392\) 8.80767 16.2944i 0.444854 0.822990i
\(393\) −3.61077 18.1525i −0.182139 0.915675i
\(394\) 0.296301 1.09896i 0.0149274 0.0553649i
\(395\) −57.3107 5.64461i −2.88361 0.284011i
\(396\) −6.86261 + 4.23786i −0.344859 + 0.212960i
\(397\) 6.68257 22.0295i 0.335389 1.10563i −0.613414 0.789761i \(-0.710204\pi\)
0.948803 0.315868i \(-0.102296\pi\)
\(398\) −6.12122 + 6.51519i −0.306829 + 0.326577i
\(399\) 0.346585 0.836730i 0.0173509 0.0418889i
\(400\) −2.02551 + 28.2092i −0.101276 + 1.41046i
\(401\) 14.9652 + 36.1293i 0.747329 + 1.80421i 0.573061 + 0.819513i \(0.305756\pi\)
0.174268 + 0.984698i \(0.444244\pi\)
\(402\) 1.04548 + 0.395349i 0.0521436 + 0.0197182i
\(403\) 0.0983604 0.0525747i 0.00489968 0.00261893i
\(404\) −0.817076 + 22.7880i −0.0406510 + 1.13375i
\(405\) −2.68564 + 2.20404i −0.133450 + 0.109520i
\(406\) −1.00910 + 1.31085i −0.0500809 + 0.0650566i
\(407\) 19.9905 29.9179i 0.990893 1.48298i
\(408\) 2.63705 6.28320i 0.130554 0.311065i
\(409\) 19.9661 13.3409i 0.987259 0.659665i 0.0465624 0.998915i \(-0.485173\pi\)
0.940696 + 0.339250i \(0.110173\pi\)
\(410\) 36.3319 + 41.5590i 1.79430 + 2.05245i
\(411\) 12.0424 + 6.43681i 0.594009 + 0.317504i
\(412\) −21.7701 12.6595i −1.07253 0.623691i
\(413\) −0.711735 7.22637i −0.0350222 0.355586i
\(414\) 2.97704 + 4.16815i 0.146314 + 0.204853i
\(415\) −29.7079 29.7079i −1.45830 1.45830i
\(416\) 0.103877 + 1.79950i 0.00509301 + 0.0882278i
\(417\) 2.51738 2.51738i 0.123277 0.123277i
\(418\) 7.58405 + 1.26427i 0.370948 + 0.0618374i
\(419\) −24.8135 + 2.44392i −1.21222 + 0.119393i −0.683851 0.729622i \(-0.739696\pi\)
−0.528369 + 0.849015i \(0.677196\pi\)
\(420\) −4.62617 0.623714i −0.225734 0.0304341i
\(421\) 3.76464 7.04316i 0.183478 0.343262i −0.773321 0.634015i \(-0.781406\pi\)
0.956798 + 0.290753i \(0.0939057\pi\)
\(422\) −2.70171 + 40.2591i −0.131517 + 1.95978i
\(423\) −3.70332 5.54242i −0.180062 0.269482i
\(424\) 31.4671 + 6.41219i 1.52818 + 0.311404i
\(425\) −14.1632 9.46352i −0.687014 0.459048i
\(426\) −1.11902 8.60330i −0.0542165 0.416831i
\(427\) 6.02329 + 7.33940i 0.291488 + 0.355179i
\(428\) 28.9784 + 13.2389i 1.40073 + 0.639927i
\(429\) 0.605753 + 1.13328i 0.0292460 + 0.0547155i
\(430\) 2.74928 + 6.09303i 0.132582 + 0.293832i
\(431\) 17.7340 7.34565i 0.854215 0.353827i 0.0877726 0.996141i \(-0.472025\pi\)
0.766442 + 0.642313i \(0.222025\pi\)
\(432\) 3.65367 1.62810i 0.175787 0.0783318i
\(433\) −21.4753 8.89534i −1.03204 0.427483i −0.198589 0.980083i \(-0.563636\pi\)
−0.833447 + 0.552600i \(0.813636\pi\)
\(434\) −0.0103628 0.332381i −0.000497429 0.0159548i
\(435\) −5.78892 1.75605i −0.277557 0.0841961i
\(436\) 21.7571 + 15.6937i 1.04198 + 0.751593i
\(437\) 0.478593 4.85924i 0.0228942 0.232449i
\(438\) 6.26354 3.60326i 0.299284 0.172170i
\(439\) −2.05281 + 0.408329i −0.0979751 + 0.0194885i −0.243834 0.969817i \(-0.578405\pi\)
0.145859 + 0.989305i \(0.453405\pi\)
\(440\) −3.70002 39.4562i −0.176391 1.88100i
\(441\) −1.27758 + 6.42285i −0.0608374 + 0.305850i
\(442\) −0.972922 0.481678i −0.0462772 0.0229111i
\(443\) 2.39390 + 7.89165i 0.113738 + 0.374943i 0.995266 0.0971880i \(-0.0309848\pi\)
−0.881528 + 0.472131i \(0.843485\pi\)
\(444\) −11.8075 + 13.3795i −0.560357 + 0.634964i
\(445\) 14.9090 + 12.2355i 0.706753 + 0.580017i
\(446\) 11.0392 2.55585i 0.522720 0.121023i
\(447\) 10.7868i 0.510200i
\(448\) 4.94588 + 2.10302i 0.233671 + 0.0993582i
\(449\) 18.0510i 0.851879i −0.904752 0.425939i \(-0.859944\pi\)
0.904752 0.425939i \(-0.140056\pi\)
\(450\) −2.25539 9.74144i −0.106320 0.459216i
\(451\) −35.0240 28.7435i −1.64922 1.35348i
\(452\) −25.2454 + 1.57571i −1.18745 + 0.0741150i
\(453\) 1.71091 + 5.64010i 0.0803853 + 0.264995i
\(454\) −0.187283 + 0.378287i −0.00878965 + 0.0177539i
\(455\) −0.145090 + 0.729419i −0.00680194 + 0.0341957i
\(456\) −3.64366 1.12391i −0.170630 0.0526319i
\(457\) −35.0378 + 6.96945i −1.63900 + 0.326017i −0.926683 0.375843i \(-0.877353\pi\)
−0.712315 + 0.701860i \(0.752353\pi\)
\(458\) −13.7827 23.9584i −0.644022 1.11950i
\(459\) −0.236140 + 2.39757i −0.0110221 + 0.111909i
\(460\) −24.8433 + 4.02218i −1.15832 + 0.187535i
\(461\) −2.23298 0.677368i −0.104000 0.0315482i 0.237856 0.971301i \(-0.423555\pi\)
−0.341856 + 0.939752i \(0.611055\pi\)
\(462\) 3.82962 0.119397i 0.178170 0.00555487i
\(463\) 7.96283 + 3.29831i 0.370064 + 0.153286i 0.559962 0.828518i \(-0.310816\pi\)
−0.189898 + 0.981804i \(0.560816\pi\)
\(464\) 5.89153 + 3.71469i 0.273507 + 0.172450i
\(465\) 1.12349 0.465363i 0.0521004 0.0215807i
\(466\) −15.0354 + 6.78424i −0.696501 + 0.314274i
\(467\) −20.1553 37.7079i −0.932675 1.74491i −0.595201 0.803577i \(-0.702928\pi\)
−0.337474 0.941335i \(-0.609572\pi\)
\(468\) −0.222622 0.597129i −0.0102907 0.0276023i
\(469\) −0.336839 0.410439i −0.0155538 0.0189523i
\(470\) 32.4778 4.22433i 1.49809 0.194854i
\(471\) 2.70498 + 1.80741i 0.124639 + 0.0832811i
\(472\) −30.0118 + 5.82407i −1.38141 + 0.268074i
\(473\) −3.04822 4.56198i −0.140157 0.209760i
\(474\) −23.3889 1.56958i −1.07429 0.0720932i
\(475\) −4.49326 + 8.40630i −0.206165 + 0.385708i
\(476\) −2.57419 + 1.96253i −0.117988 + 0.0899525i
\(477\) −11.2993 + 1.11288i −0.517357 + 0.0509552i
\(478\) 1.40512 8.42895i 0.0642685 0.385531i
\(479\) 16.7640 16.7640i 0.765967 0.765967i −0.211427 0.977394i \(-0.567811\pi\)
0.977394 + 0.211427i \(0.0678111\pi\)
\(480\) −0.796000 + 19.6372i −0.0363323 + 0.896313i
\(481\) 2.01030 + 2.01030i 0.0916616 + 0.0916616i
\(482\) 4.46308 3.18769i 0.203288 0.145195i
\(483\) −0.238495 2.42148i −0.0108519 0.110181i
\(484\) 2.69300 + 10.1771i 0.122409 + 0.462597i
\(485\) 28.5155 + 15.2419i 1.29482 + 0.692097i
\(486\) −1.06471 + 0.930798i −0.0482964 + 0.0422219i
\(487\) −11.5774 + 7.73575i −0.524621 + 0.350540i −0.789509 0.613739i \(-0.789665\pi\)
0.264888 + 0.964279i \(0.414665\pi\)
\(488\) 28.3977 28.1336i 1.28551 1.27355i
\(489\) 3.35952 5.02788i 0.151923 0.227369i
\(490\) −25.4963 19.6272i −1.15181 0.886665i
\(491\) 9.68051 7.94459i 0.436875 0.358534i −0.390100 0.920772i \(-0.627560\pi\)
0.826975 + 0.562238i \(0.190060\pi\)
\(492\) 15.3091 + 16.4477i 0.690186 + 0.741521i
\(493\) −3.69954 + 1.97745i −0.166619 + 0.0890597i
\(494\) −0.214876 + 0.568224i −0.00966771 + 0.0255656i
\(495\) 5.36181 + 12.9445i 0.240995 + 0.581814i
\(496\) −1.38921 + 0.174094i −0.0623772 + 0.00781706i
\(497\) −1.57715 + 3.80759i −0.0707451 + 0.170794i
\(498\) −12.4637 11.7100i −0.558512 0.524739i
\(499\) 0.152649 0.503216i 0.00683350 0.0225270i −0.953457 0.301528i \(-0.902503\pi\)
0.960291 + 0.279001i \(0.0900033\pi\)
\(500\) 14.0005 + 3.31047i 0.626120 + 0.148049i
\(501\) 18.8030 + 1.85193i 0.840056 + 0.0827383i
\(502\) 40.4462 + 10.9051i 1.80520 + 0.486718i
\(503\) 2.19078 + 11.0138i 0.0976822 + 0.491081i 0.998393 + 0.0566630i \(0.0180461\pi\)
−0.900711 + 0.434418i \(0.856954\pi\)
\(504\) −1.89010 0.195081i −0.0841919 0.00868960i
\(505\) 38.8500 + 7.72774i 1.72880 + 0.343880i
\(506\) 19.5708 6.60940i 0.870026 0.293824i
\(507\) 12.3431 3.74423i 0.548175 0.166287i
\(508\) −4.10601 8.39197i −0.182175 0.372334i
\(509\) 25.0384 30.5094i 1.10981 1.35230i 0.180252 0.983620i \(-0.442309\pi\)
0.929555 0.368684i \(-0.120191\pi\)
\(510\) −10.0423 6.26642i −0.444681 0.277482i
\(511\) −3.43262 −0.151850
\(512\) 6.87128 21.5589i 0.303671 0.952777i
\(513\) 1.34812 0.0595209
\(514\) −13.4400 8.38658i −0.592812 0.369916i
\(515\) −27.7526 + 33.8166i −1.22292 + 1.49014i
\(516\) 1.19586 + 2.44412i 0.0526446 + 0.107596i
\(517\) −25.7245 + 7.80345i −1.13136 + 0.343195i
\(518\) 8.03117 2.71227i 0.352870 0.119170i
\(519\) −17.8308 3.54676i −0.782684 0.155685i
\(520\) 3.11462 + 0.321466i 0.136585 + 0.0140972i
\(521\) −0.476524 2.39565i −0.0208769 0.104955i 0.968942 0.247289i \(-0.0795396\pi\)
−0.989819 + 0.142333i \(0.954540\pi\)
\(522\) −2.37754 0.641031i −0.104062 0.0280572i
\(523\) −10.7245 1.05628i −0.468952 0.0461877i −0.139218 0.990262i \(-0.544459\pi\)
−0.329734 + 0.944074i \(0.606959\pi\)
\(524\) 36.0230 + 8.51780i 1.57367 + 0.372102i
\(525\) −1.37884 + 4.54541i −0.0601773 + 0.198378i
\(526\) 30.0389 + 28.2224i 1.30976 + 1.23056i
\(527\) 0.322699 0.779064i 0.0140570 0.0339366i
\(528\) −2.00587 16.0061i −0.0872944 0.696577i
\(529\) 3.78163 + 9.12966i 0.164419 + 0.396942i
\(530\) 19.7318 52.1795i 0.857095 2.26653i
\(531\) 9.53245 5.09520i 0.413673 0.221113i
\(532\) 1.23409 + 1.32588i 0.0535047 + 0.0574843i
\(533\) 2.76730 2.27106i 0.119865 0.0983706i
\(534\) 6.22103 + 4.78898i 0.269210 + 0.207239i
\(535\) 30.7473 46.0167i 1.32932 1.98947i
\(536\) −1.58808 + 1.57331i −0.0685945 + 0.0679564i
\(537\) −5.73242 + 3.83028i −0.247372 + 0.165289i
\(538\) −27.1318 + 23.7193i −1.16973 + 1.02261i
\(539\) 23.2913 + 12.4495i 1.00323 + 0.536236i
\(540\) −1.77749 6.71732i −0.0764910 0.289067i
\(541\) 0.733760 + 7.44999i 0.0315468 + 0.320300i 0.997988 + 0.0634103i \(0.0201977\pi\)
−0.966441 + 0.256890i \(0.917302\pi\)
\(542\) 28.2310 20.1636i 1.21263 0.866100i
\(543\) 2.26775 + 2.26775i 0.0973183 + 0.0973183i
\(544\) 9.23846 + 10.0191i 0.396096 + 0.429564i
\(545\) 32.9520 32.9520i 1.41151 1.41151i
\(546\) −0.0497786 + 0.298610i −0.00213033 + 0.0127793i
\(547\) 42.8813 4.22344i 1.83347 0.180581i 0.878592 0.477574i \(-0.158484\pi\)
0.954880 + 0.296992i \(0.0959836\pi\)
\(548\) −21.7178 + 16.5574i −0.927738 + 0.707297i
\(549\) −6.66224 + 12.4642i −0.284338 + 0.531958i
\(550\) −40.2343 2.70004i −1.71559 0.115130i
\(551\) 1.30412 + 1.95176i 0.0555575 + 0.0831476i
\(552\) −10.0567 + 1.95159i −0.428040 + 0.0830650i
\(553\) 9.25888 + 6.18658i 0.393728 + 0.263080i
\(554\) 1.32422 0.172239i 0.0562609 0.00731775i
\(555\) 19.6651 + 23.9620i 0.834736 + 1.01713i
\(556\) 2.48733 + 6.67165i 0.105486 + 0.282941i
\(557\) −14.3017 26.7566i −0.605983 1.13371i −0.978608 0.205733i \(-0.934042\pi\)
0.372625 0.927982i \(-0.378458\pi\)
\(558\) 0.451196 0.203588i 0.0191006 0.00861856i
\(559\) 0.400509 0.165896i 0.0169397 0.00701666i
\(560\) 4.97937 7.89733i 0.210417 0.333723i
\(561\) 8.97619 + 3.71806i 0.378975 + 0.156977i
\(562\) 21.3564 0.665836i 0.900864 0.0280866i
\(563\) 26.0271 + 7.89523i 1.09691 + 0.332744i 0.786333 0.617803i \(-0.211977\pi\)
0.310579 + 0.950548i \(0.399477\pi\)
\(564\) 13.1603 2.13067i 0.554147 0.0897175i
\(565\) −4.30686 + 43.7283i −0.181191 + 1.83966i
\(566\) −11.6753 20.2951i −0.490749 0.853068i
\(567\) 0.658894 0.131062i 0.0276709 0.00550409i
\(568\) 16.5807 + 5.11442i 0.695710 + 0.214596i
\(569\) −5.37951 + 27.0446i −0.225521 + 1.13377i 0.687603 + 0.726087i \(0.258663\pi\)
−0.913124 + 0.407683i \(0.866337\pi\)
\(570\) −2.93887 + 5.93611i −0.123096 + 0.248636i
\(571\) 8.40404 + 27.7044i 0.351698 + 1.15939i 0.937221 + 0.348737i \(0.113389\pi\)
−0.585522 + 0.810656i \(0.699111\pi\)
\(572\) −2.56504 + 0.160098i −0.107250 + 0.00669405i
\(573\) −0.206413 0.169399i −0.00862303 0.00707673i
\(574\) −2.40762 10.3989i −0.100492 0.434043i
\(575\) 25.6084i 1.06794i
\(576\) −0.0747652 + 7.99965i −0.00311522 + 0.333319i
\(577\) 21.2637i 0.885221i 0.896714 + 0.442610i \(0.145948\pi\)
−0.896714 + 0.442610i \(0.854052\pi\)
\(578\) 15.4254 3.57137i 0.641611 0.148549i
\(579\) −2.59450 2.12925i −0.107824 0.0884886i
\(580\) 8.00560 9.07147i 0.332414 0.376672i
\(581\) 2.35825 + 7.77412i 0.0978369 + 0.322525i
\(582\) 11.7951 + 5.83955i 0.488922 + 0.242057i
\(583\) −8.93288 + 44.9086i −0.369962 + 1.85992i
\(584\) 1.34933 + 14.3889i 0.0558355 + 0.595418i
\(585\) −1.08576 + 0.215972i −0.0448908 + 0.00892933i
\(586\) −22.0732 + 12.6982i −0.911834 + 0.524556i
\(587\) −2.90384 + 29.4832i −0.119854 + 1.21690i 0.727588 + 0.686014i \(0.240641\pi\)
−0.847442 + 0.530887i \(0.821859\pi\)
\(588\) −10.6223 7.66205i −0.438058 0.315978i
\(589\) −0.451548 0.136976i −0.0186057 0.00564398i
\(590\) 1.65493 + 53.0812i 0.0681325 + 2.18532i
\(591\) −0.743568 0.307996i −0.0305863 0.0126693i
\(592\) −14.5263 32.5990i −0.597028 1.33981i
\(593\) −39.3791 + 16.3114i −1.61711 + 0.669827i −0.993700 0.112071i \(-0.964252\pi\)
−0.623406 + 0.781898i \(0.714252\pi\)
\(594\) 2.34569 + 5.19857i 0.0962448 + 0.213300i
\(595\) 2.65068 + 4.95907i 0.108667 + 0.203302i
\(596\) 19.6229 + 8.96479i 0.803784 + 0.367212i
\(597\) 4.01017 + 4.88641i 0.164125 + 0.199987i
\(598\) 0.210513 + 1.61848i 0.00860851 + 0.0661846i
\(599\) −28.8343 19.2665i −1.17814 0.787207i −0.196980 0.980408i \(-0.563113\pi\)
−0.981159 + 0.193200i \(0.938113\pi\)
\(600\) 19.5955 + 3.99308i 0.799985 + 0.163017i
\(601\) 7.08052 + 10.5967i 0.288820 + 0.432250i 0.947300 0.320349i \(-0.103800\pi\)
−0.658479 + 0.752599i \(0.728800\pi\)
\(602\) 0.0865470 1.28967i 0.00352739 0.0525630i
\(603\) 0.372571 0.697030i 0.0151722 0.0283853i
\(604\) −11.6821 1.57501i −0.475337 0.0640864i
\(605\) 18.1994 1.79248i 0.739911 0.0728748i
\(606\) 15.9044 + 2.65129i 0.646073 + 0.107701i
\(607\) 3.63163 3.63163i 0.147403 0.147403i −0.629554 0.776957i \(-0.716762\pi\)
0.776957 + 0.629554i \(0.216762\pi\)
\(608\) 5.07275 5.69428i 0.205727 0.230934i
\(609\) 0.827137 + 0.827137i 0.0335173 + 0.0335173i
\(610\) −40.3594 56.5071i −1.63410 2.28791i
\(611\) −0.208187 2.11376i −0.00842236 0.0855137i
\(612\) −4.16527 2.42215i −0.168371 0.0979098i
\(613\) 1.19342 + 0.637898i 0.0482019 + 0.0257644i 0.495322 0.868710i \(-0.335050\pi\)
−0.447120 + 0.894474i \(0.647550\pi\)
\(614\) −3.14560 3.59816i −0.126946 0.145210i
\(615\) 32.4548 21.6856i 1.30870 0.874447i
\(616\) −2.96554 + 7.06587i −0.119485 + 0.284692i
\(617\) 7.20017 10.7758i 0.289868 0.433818i −0.657744 0.753241i \(-0.728489\pi\)
0.947612 + 0.319423i \(0.103489\pi\)
\(618\) −10.8624 + 14.1106i −0.436949 + 0.567610i
\(619\) −26.2400 + 21.5346i −1.05467 + 0.865548i −0.991192 0.132435i \(-0.957720\pi\)
−0.0634817 + 0.997983i \(0.520220\pi\)
\(620\) −0.0871485 + 2.43054i −0.00349997 + 0.0976130i
\(621\) 3.19423 1.70735i 0.128180 0.0685136i
\(622\) 19.1042 + 7.22431i 0.766009 + 0.289668i
\(623\) −1.42719 3.44554i −0.0571791 0.138043i
\(624\) 1.27128 + 0.0912826i 0.0508921 + 0.00365423i
\(625\) −3.96499 + 9.57233i −0.158599 + 0.382893i
\(626\) −1.25409 + 1.33480i −0.0501234 + 0.0533494i
\(627\) 1.57820 5.20263i 0.0630273 0.207773i
\(628\) −5.53602 + 3.41865i −0.220911 + 0.136419i
\(629\) 21.3917 + 2.10690i 0.852944 + 0.0840077i
\(630\) −0.859273 + 3.18699i −0.0342343 + 0.126973i
\(631\) 4.41602 + 22.2008i 0.175799 + 0.883801i 0.963493 + 0.267734i \(0.0862748\pi\)
−0.787694 + 0.616067i \(0.788725\pi\)
\(632\) 22.2935 41.2434i 0.886786 1.64057i
\(633\) 27.9833 + 5.56622i 1.11224 + 0.221238i
\(634\) −10.1696 30.1125i −0.403884 1.19592i
\(635\) −15.5305 + 4.71112i −0.616309 + 0.186955i
\(636\) 7.36615 21.4799i 0.292087 0.851734i
\(637\) −1.32377 + 1.61302i −0.0524496 + 0.0639100i
\(638\) −5.25716 + 8.42491i −0.208133 + 0.333546i
\(639\) −6.13470 −0.242685
\(640\) −35.0615 17.7683i −1.38593 0.702352i
\(641\) 42.9829 1.69772 0.848862 0.528615i \(-0.177288\pi\)
0.848862 + 0.528615i \(0.177288\pi\)
\(642\) 11.9261 19.1122i 0.470685 0.754300i
\(643\) −3.52568 + 4.29606i −0.139039 + 0.169420i −0.837875 0.545863i \(-0.816202\pi\)
0.698835 + 0.715283i \(0.253702\pi\)
\(644\) 4.60324 + 1.57860i 0.181393 + 0.0622056i
\(645\) 4.52318 1.37209i 0.178100 0.0540260i
\(646\) 1.46964 + 4.35168i 0.0578223 + 0.171215i
\(647\) −38.7541 7.70868i −1.52358 0.303059i −0.638913 0.769279i \(-0.720616\pi\)
−0.884669 + 0.466220i \(0.845616\pi\)
\(648\) −0.808392 2.71044i −0.0317566 0.106476i
\(649\) −8.50394 42.7522i −0.333809 1.67817i
\(650\) 0.829420 3.07626i 0.0325325 0.120661i
\(651\) −0.234011 0.0230481i −0.00917161 0.000903325i
\(652\) 6.35441 + 10.2901i 0.248858 + 0.402990i
\(653\) −3.46406 + 11.4195i −0.135559 + 0.446879i −0.998269 0.0588212i \(-0.981266\pi\)
0.862709 + 0.505700i \(0.168766\pi\)
\(654\) 12.9888 13.8248i 0.507901 0.540591i
\(655\) 24.6074 59.4074i 0.961489 2.32124i
\(656\) −42.6440 + 14.1800i −1.66497 + 0.553636i
\(657\) −1.95535 4.72063i −0.0762854 0.184169i
\(658\) −5.92361 2.24003i −0.230926 0.0873254i
\(659\) −13.8185 + 7.38612i −0.538291 + 0.287722i −0.718054 0.695988i \(-0.754967\pi\)
0.179763 + 0.983710i \(0.442467\pi\)
\(660\) −28.0042 1.00410i −1.09006 0.0390847i
\(661\) 18.2235 14.9556i 0.708810 0.581706i −0.209385 0.977833i \(-0.567146\pi\)
0.918195 + 0.396128i \(0.129646\pi\)
\(662\) −0.944684 + 1.22717i −0.0367162 + 0.0476954i
\(663\) −0.426487 + 0.638282i −0.0165634 + 0.0247888i
\(664\) 31.6607 12.9413i 1.22867 0.502219i
\(665\) 2.61624 1.74812i 0.101454 0.0677891i
\(666\) 8.30484 + 9.49966i 0.321806 + 0.368104i
\(667\) 5.56182 + 2.97285i 0.215354 + 0.115109i
\(668\) −18.9958 + 32.6663i −0.734971 + 1.26390i
\(669\) −0.785348 7.97377i −0.0303633 0.308284i
\(670\) 2.25700 + 3.16003i 0.0871957 + 0.122083i
\(671\) 40.3022 + 40.3022i 1.55585 + 1.55585i
\(672\) 1.92572 3.27625i 0.0742862 0.126384i
\(673\) −24.6112 + 24.6112i −0.948694 + 0.948694i −0.998747 0.0500527i \(-0.984061\pi\)
0.0500527 + 0.998747i \(0.484061\pi\)
\(674\) −34.1723 5.69657i −1.31627 0.219424i
\(675\) −7.03640 + 0.693025i −0.270831 + 0.0266745i
\(676\) −3.44684 + 25.5656i −0.132571 + 0.983293i
\(677\) −1.71487 + 3.20829i −0.0659077 + 0.123305i −0.912717 0.408591i \(-0.866020\pi\)
0.846810 + 0.531896i \(0.178520\pi\)
\(678\) −1.19760 + 17.8458i −0.0459934 + 0.685365i
\(679\) −3.47352 5.19850i −0.133302 0.199500i
\(680\) 19.7455 13.0605i 0.757207 0.500847i
\(681\) 0.248174 + 0.165824i 0.00951004 + 0.00635441i
\(682\) −0.257480 1.97958i −0.00985942 0.0758020i
\(683\) −23.7260 28.9102i −0.907851 1.10622i −0.993939 0.109932i \(-0.964937\pi\)
0.0860882 0.996288i \(-0.472563\pi\)
\(684\) −1.12040 + 2.45243i −0.0428396 + 0.0937709i
\(685\) 22.3631 + 41.8384i 0.854451 + 1.59856i
\(686\) 5.29419 + 11.7331i 0.202133 + 0.447972i
\(687\) −18.0567 + 7.47932i −0.688905 + 0.285354i
\(688\) −5.44007 + 0.144165i −0.207401 + 0.00549625i
\(689\) −3.34242 1.38448i −0.127336 0.0527443i
\(690\) 0.554551 + 17.7870i 0.0211114 + 0.677138i
\(691\) 36.5230 + 11.0791i 1.38940 + 0.421470i 0.894340 0.447389i \(-0.147646\pi\)
0.495060 + 0.868859i \(0.335146\pi\)
\(692\) 21.2710 29.4891i 0.808601 1.12101i
\(693\) 0.265554 2.69622i 0.0100876 0.102421i
\(694\) 25.6397 14.7499i 0.973271 0.559899i
\(695\) 12.1311 2.41302i 0.460158 0.0915312i
\(696\) 3.14207 3.79235i 0.119100 0.143748i
\(697\) 5.28048 26.5468i 0.200012 1.00553i
\(698\) −25.4404 12.5951i −0.962934 0.476733i
\(699\) 3.38583 + 11.1616i 0.128064 + 0.422169i
\(700\) −7.12285 6.28593i −0.269218 0.237586i
\(701\) −22.3069 18.3068i −0.842521 0.691440i 0.110653 0.993859i \(-0.464706\pi\)
−0.953175 + 0.302420i \(0.902206\pi\)
\(702\) −0.439011 + 0.101642i −0.0165694 + 0.00383624i
\(703\) 12.0283i 0.453655i
\(704\) 30.7845 + 9.65347i 1.16024 + 0.363829i
\(705\) 23.1587i 0.872208i
\(706\) −0.789049 3.40804i −0.0296963 0.128263i
\(707\) −5.92082 4.85909i −0.222676 0.182745i
\(708\) 1.34664 + 21.5755i 0.0506099 + 0.810856i
\(709\) 1.78445 + 5.88253i 0.0670162 + 0.220923i 0.984052 0.177883i \(-0.0569248\pi\)
−0.917035 + 0.398806i \(0.869425\pi\)
\(710\) 13.3735 27.0126i 0.501898 1.01376i
\(711\) −3.23375 + 16.2571i −0.121275 + 0.609691i
\(712\) −13.8821 + 7.33692i −0.520252 + 0.274963i
\(713\) −1.24337 + 0.247322i −0.0465646 + 0.00926227i
\(714\) 1.14135 + 1.98401i 0.0427140 + 0.0742497i
\(715\) −0.437596 + 4.44298i −0.0163651 + 0.166158i
\(716\) −2.20372 13.6114i −0.0823568 0.508682i
\(717\) −5.78223 1.75402i −0.215941 0.0655051i
\(718\) −33.0259 + 1.02966i −1.23252 + 0.0384266i
\(719\) 42.9973 + 17.8101i 1.60353 + 0.664203i 0.991909 0.126950i \(-0.0405188\pi\)
0.611618 + 0.791153i \(0.290519\pi\)
\(720\) 13.6970 + 2.34915i 0.510458 + 0.0875475i
\(721\) 7.81519 3.23716i 0.291053 0.120558i
\(722\) −22.1494 + 9.99422i −0.824316 + 0.371946i
\(723\) −1.82816 3.42024i −0.0679899 0.127200i
\(724\) −6.01006 + 2.24067i −0.223362 + 0.0832740i
\(725\) −7.81010 9.51663i −0.290060 0.353439i
\(726\) 7.38182 0.960140i 0.273965 0.0356342i
\(727\) 0.466433 + 0.311660i 0.0172990 + 0.0115588i 0.564190 0.825645i \(-0.309189\pi\)
−0.546891 + 0.837204i \(0.684189\pi\)
\(728\) −0.501845 0.338725i −0.0185996 0.0125540i
\(729\) 0.555570 + 0.831470i 0.0205767 + 0.0307952i
\(730\) 25.0487 + 1.68097i 0.927094 + 0.0622154i
\(731\) 1.54508 2.89064i 0.0571468 0.106914i
\(732\) −17.1373 22.4784i −0.633412 0.830825i
\(733\) −30.6165 + 3.01547i −1.13085 + 0.111379i −0.646084 0.763266i \(-0.723594\pi\)
−0.484764 + 0.874645i \(0.661094\pi\)
\(734\) −3.67020 + 22.0167i −0.135470 + 0.812650i
\(735\) −16.0879 + 16.0879i −0.593413 + 0.593413i
\(736\) 4.80772 19.9165i 0.177215 0.734131i
\(737\) −2.25381 2.25381i −0.0830200 0.0830200i
\(738\) 12.9294 9.23463i 0.475938 0.339931i
\(739\) −4.47438 45.4292i −0.164593 1.67114i −0.622867 0.782328i \(-0.714032\pi\)
0.458274 0.888811i \(-0.348468\pi\)
\(740\) −59.9337 + 15.8592i −2.20321 + 0.582997i
\(741\) 0.378842 + 0.202495i 0.0139171 + 0.00743884i
\(742\) −8.12120 + 7.09975i −0.298139 + 0.260640i
\(743\) −21.2275 + 14.1838i −0.778761 + 0.520351i −0.880264 0.474484i \(-0.842635\pi\)
0.101503 + 0.994835i \(0.467635\pi\)
\(744\) −0.00462615 + 0.989991i −0.000169603 + 0.0362948i
\(745\) 20.8207 31.1604i 0.762811 1.14163i
\(746\) −16.3450 12.5825i −0.598433 0.460677i
\(747\) −9.34782 + 7.67156i −0.342019 + 0.280688i
\(748\) −14.2237 + 13.2390i −0.520069 + 0.484065i
\(749\) −9.43797 + 5.04470i −0.344856 + 0.184329i
\(750\) 3.59820 9.51520i 0.131388 0.347446i
\(751\) 7.96778 + 19.2359i 0.290749 + 0.701929i 0.999995 0.00303104i \(-0.000964813\pi\)
−0.709247 + 0.704960i \(0.750965\pi\)
\(752\) −7.06128 + 25.7112i −0.257499 + 0.937591i
\(753\) 11.3355 27.3663i 0.413089 0.997284i
\(754\) −0.571838 0.537259i −0.0208251 0.0195658i
\(755\) −5.94412 + 19.5951i −0.216329 + 0.713140i
\(756\) −0.309176 + 1.30755i −0.0112446 + 0.0475551i
\(757\) 16.8458 + 1.65917i 0.612272 + 0.0603035i 0.399400 0.916777i \(-0.369218\pi\)
0.212872 + 0.977080i \(0.431718\pi\)
\(758\) −11.0417 2.97705i −0.401052 0.108131i
\(759\) −2.84958 14.3258i −0.103433 0.519994i
\(760\) −8.35620 10.2796i −0.303111 0.372882i
\(761\) −16.4293 3.26798i −0.595560 0.118464i −0.111899 0.993720i \(-0.535693\pi\)
−0.483661 + 0.875255i \(0.660693\pi\)
\(762\) −6.25894 + 2.11376i −0.226737 + 0.0765733i
\(763\) −8.62306 + 2.61578i −0.312176 + 0.0946975i
\(764\) 0.479708 0.234711i 0.0173552 0.00849154i
\(765\) −5.30991 + 6.47014i −0.191980 + 0.233929i
\(766\) −33.9479 21.1835i −1.22659 0.765392i
\(767\) 3.44409 0.124359
\(768\) −14.4904 6.78440i −0.522878 0.244811i
\(769\) −5.74035 −0.207002 −0.103501 0.994629i \(-0.533005\pi\)
−0.103501 + 0.994629i \(0.533005\pi\)
\(770\) 11.2932 + 7.04699i 0.406979 + 0.253956i
\(771\) −7.10645 + 8.65924i −0.255933 + 0.311855i
\(772\) 6.02967 2.95019i 0.217013 0.106180i
\(773\) −22.8610 + 6.93480i −0.822252 + 0.249427i −0.673255 0.739410i \(-0.735104\pi\)