Properties

Label 585.2.bt.b.376.17
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.17
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.09899 - 0.634500i) q^{2} +(1.58392 - 0.700848i) q^{3} +(-0.194820 - 0.337439i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-2.18540 - 0.234776i) q^{6} +(4.16228 + 2.40310i) q^{7} +3.03245i q^{8} +(2.01762 - 2.22018i) q^{9} +O(q^{10})\) \(q+(-1.09899 - 0.634500i) q^{2} +(1.58392 - 0.700848i) q^{3} +(-0.194820 - 0.337439i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-2.18540 - 0.234776i) q^{6} +(4.16228 + 2.40310i) q^{7} +3.03245i q^{8} +(2.01762 - 2.22018i) q^{9} +1.26900 q^{10} +(-3.25705 - 1.88046i) q^{11} +(-0.545074 - 0.397937i) q^{12} +(3.09393 - 1.85137i) q^{13} +(-3.04953 - 5.28194i) q^{14} +(-1.02129 + 1.39891i) q^{15} +(1.53445 - 2.65774i) q^{16} +2.36135 q^{17} +(-3.62604 + 1.15976i) q^{18} +4.60952i q^{19} +(0.337439 + 0.194820i) q^{20} +(8.27694 + 0.889188i) q^{21} +(2.38630 + 4.13319i) q^{22} +(4.07745 + 7.06236i) q^{23} +(2.12529 + 4.80317i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-4.57488 + 0.0715345i) q^{26} +(1.63975 - 4.93064i) q^{27} -1.87269i q^{28} +(2.72644 - 4.72233i) q^{29} +(2.01000 - 0.889376i) q^{30} +(-1.31066 + 0.756711i) q^{31} +(1.87969 - 1.08524i) q^{32} +(-6.47683 - 0.695803i) q^{33} +(-2.59509 - 1.49827i) q^{34} -4.80619 q^{35} +(-1.14225 - 0.248288i) q^{36} -9.70426i q^{37} +(2.92474 - 5.06579i) q^{38} +(3.60302 - 5.10081i) q^{39} +(-1.51623 - 2.62618i) q^{40} +(3.95889 - 2.28566i) q^{41} +(-8.53205 - 6.22892i) q^{42} +(-0.981245 + 1.69957i) q^{43} +1.46541i q^{44} +(-0.637223 + 2.93154i) q^{45} -10.3486i q^{46} +(-8.48359 - 4.89800i) q^{47} +(0.567773 - 5.28508i) q^{48} +(8.04974 + 13.9426i) q^{49} +(-1.09899 + 0.634500i) q^{50} +(3.74019 - 1.65495i) q^{51} +(-1.22749 - 0.683327i) q^{52} -8.05166 q^{53} +(-4.93055 + 4.37828i) q^{54} +3.76092 q^{55} +(-7.28728 + 12.6219i) q^{56} +(3.23057 + 7.30112i) q^{57} +(-5.99263 + 3.45985i) q^{58} +(-0.839155 + 0.484487i) q^{59} +(0.671017 + 0.0720870i) q^{60} +(4.76134 - 8.24689i) q^{61} +1.92053 q^{62} +(13.7332 - 4.39248i) q^{63} -8.89213 q^{64} +(-1.75374 + 3.15030i) q^{65} +(6.67646 + 4.87422i) q^{66} +(-1.76799 + 1.02075i) q^{67} +(-0.460039 - 0.796811i) q^{68} +(11.4080 + 8.32855i) q^{69} +(5.28194 + 3.04953i) q^{70} -7.78951i q^{71} +(6.73259 + 6.11835i) q^{72} -1.99976i q^{73} +(-6.15735 + 10.6648i) q^{74} +(0.185009 - 1.72214i) q^{75} +(1.55543 - 0.898028i) q^{76} +(-9.03784 - 15.6540i) q^{77} +(-7.19613 + 3.31960i) q^{78} +(-3.61917 + 6.26859i) q^{79} +3.06890i q^{80} +(-0.858397 - 8.95897i) q^{81} -5.80101 q^{82} +(-3.04623 - 1.75874i) q^{83} +(-1.31247 - 2.96619i) q^{84} +(-2.04499 + 1.18067i) q^{85} +(2.15675 - 1.24520i) q^{86} +(1.00883 - 9.39062i) q^{87} +(5.70240 - 9.87685i) q^{88} +17.2510i q^{89} +(2.56036 - 2.81741i) q^{90} +(17.3269 - 0.270929i) q^{91} +(1.58874 - 2.75178i) q^{92} +(-1.54565 + 2.11715i) q^{93} +(6.21556 + 10.7657i) q^{94} +(-2.30476 - 3.99196i) q^{95} +(2.21669 - 3.03631i) q^{96} +(-2.99976 - 1.73191i) q^{97} -20.4302i q^{98} +(-10.7465 + 3.43718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09899 0.634500i −0.777100 0.448659i 0.0583014 0.998299i \(-0.481432\pi\)
−0.835402 + 0.549640i \(0.814765\pi\)
\(3\) 1.58392 0.700848i 0.914478 0.404635i
\(4\) −0.194820 0.337439i −0.0974102 0.168719i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −2.18540 0.234776i −0.892184 0.0958469i
\(7\) 4.16228 + 2.40310i 1.57320 + 0.908285i 0.995774 + 0.0918391i \(0.0292745\pi\)
0.577422 + 0.816446i \(0.304059\pi\)
\(8\) 3.03245i 1.07213i
\(9\) 2.01762 2.22018i 0.672541 0.740060i
\(10\) 1.26900 0.401293
\(11\) −3.25705 1.88046i −0.982037 0.566980i −0.0791527 0.996863i \(-0.525221\pi\)
−0.902885 + 0.429883i \(0.858555\pi\)
\(12\) −0.545074 0.397937i −0.157349 0.114875i
\(13\) 3.09393 1.85137i 0.858102 0.513479i
\(14\) −3.04953 5.28194i −0.815020 1.41166i
\(15\) −1.02129 + 1.39891i −0.263697 + 0.361198i
\(16\) 1.53445 2.65774i 0.383612 0.664436i
\(17\) 2.36135 0.572711 0.286356 0.958123i \(-0.407556\pi\)
0.286356 + 0.958123i \(0.407556\pi\)
\(18\) −3.62604 + 1.15976i −0.854666 + 0.273359i
\(19\) 4.60952i 1.05750i 0.848779 + 0.528748i \(0.177338\pi\)
−0.848779 + 0.528748i \(0.822662\pi\)
\(20\) 0.337439 + 0.194820i 0.0754536 + 0.0435632i
\(21\) 8.27694 + 0.889188i 1.80618 + 0.194037i
\(22\) 2.38630 + 4.13319i 0.508761 + 0.881200i
\(23\) 4.07745 + 7.06236i 0.850208 + 1.47260i 0.881021 + 0.473078i \(0.156857\pi\)
−0.0308128 + 0.999525i \(0.509810\pi\)
\(24\) 2.12529 + 4.80317i 0.433823 + 0.980443i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −4.57488 + 0.0715345i −0.897208 + 0.0140291i
\(27\) 1.63975 4.93064i 0.315570 0.948902i
\(28\) 1.87269i 0.353905i
\(29\) 2.72644 4.72233i 0.506287 0.876914i −0.493687 0.869640i \(-0.664351\pi\)
0.999974 0.00727453i \(-0.00231558\pi\)
\(30\) 2.01000 0.889376i 0.366974 0.162377i
\(31\) −1.31066 + 0.756711i −0.235402 + 0.135909i −0.613062 0.790035i \(-0.710062\pi\)
0.377660 + 0.925944i \(0.376729\pi\)
\(32\) 1.87969 1.08524i 0.332285 0.191845i
\(33\) −6.47683 0.695803i −1.12747 0.121124i
\(34\) −2.59509 1.49827i −0.445054 0.256952i
\(35\) −4.80619 −0.812395
\(36\) −1.14225 0.248288i −0.190375 0.0413813i
\(37\) 9.70426i 1.59537i −0.603074 0.797685i \(-0.706058\pi\)
0.603074 0.797685i \(-0.293942\pi\)
\(38\) 2.92474 5.06579i 0.474455 0.821780i
\(39\) 3.60302 5.10081i 0.576944 0.816783i
\(40\) −1.51623 2.62618i −0.239736 0.415236i
\(41\) 3.95889 2.28566i 0.618274 0.356961i −0.157923 0.987451i \(-0.550480\pi\)
0.776197 + 0.630491i \(0.217146\pi\)
\(42\) −8.53205 6.22892i −1.31652 0.961144i
\(43\) −0.981245 + 1.69957i −0.149638 + 0.259181i −0.931094 0.364780i \(-0.881144\pi\)
0.781455 + 0.623961i \(0.214478\pi\)
\(44\) 1.46541i 0.220918i
\(45\) −0.637223 + 2.93154i −0.0949916 + 0.437009i
\(46\) 10.3486i 1.52581i
\(47\) −8.48359 4.89800i −1.23746 0.714447i −0.268884 0.963173i \(-0.586655\pi\)
−0.968574 + 0.248726i \(0.919988\pi\)
\(48\) 0.567773 5.28508i 0.0819510 0.762835i
\(49\) 8.04974 + 13.9426i 1.14996 + 1.99179i
\(50\) −1.09899 + 0.634500i −0.155420 + 0.0897318i
\(51\) 3.74019 1.65495i 0.523732 0.231739i
\(52\) −1.22749 0.683327i −0.170222 0.0947605i
\(53\) −8.05166 −1.10598 −0.552990 0.833188i \(-0.686513\pi\)
−0.552990 + 0.833188i \(0.686513\pi\)
\(54\) −4.93055 + 4.37828i −0.670963 + 0.595809i
\(55\) 3.76092 0.507122
\(56\) −7.28728 + 12.6219i −0.973803 + 1.68668i
\(57\) 3.23057 + 7.30112i 0.427900 + 0.967056i
\(58\) −5.99263 + 3.45985i −0.786871 + 0.454300i
\(59\) −0.839155 + 0.484487i −0.109249 + 0.0630748i −0.553629 0.832764i \(-0.686757\pi\)
0.444380 + 0.895838i \(0.353424\pi\)
\(60\) 0.671017 + 0.0720870i 0.0866279 + 0.00930639i
\(61\) 4.76134 8.24689i 0.609628 1.05591i −0.381674 0.924297i \(-0.624652\pi\)
0.991302 0.131609i \(-0.0420144\pi\)
\(62\) 1.92053 0.243908
\(63\) 13.7332 4.39248i 1.73022 0.553400i
\(64\) −8.89213 −1.11152
\(65\) −1.75374 + 3.15030i −0.217524 + 0.390747i
\(66\) 6.67646 + 4.87422i 0.821815 + 0.599976i
\(67\) −1.76799 + 1.02075i −0.215994 + 0.124704i −0.604094 0.796913i \(-0.706465\pi\)
0.388100 + 0.921617i \(0.373132\pi\)
\(68\) −0.460039 0.796811i −0.0557879 0.0966275i
\(69\) 11.4080 + 8.32855i 1.37336 + 1.00264i
\(70\) 5.28194 + 3.04953i 0.631312 + 0.364488i
\(71\) 7.78951i 0.924445i −0.886764 0.462223i \(-0.847052\pi\)
0.886764 0.462223i \(-0.152948\pi\)
\(72\) 6.73259 + 6.11835i 0.793443 + 0.721054i
\(73\) 1.99976i 0.234055i −0.993129 0.117027i \(-0.962663\pi\)
0.993129 0.117027i \(-0.0373365\pi\)
\(74\) −6.15735 + 10.6648i −0.715777 + 1.23976i
\(75\) 0.185009 1.72214i 0.0213630 0.198856i
\(76\) 1.55543 0.898028i 0.178420 0.103011i
\(77\) −9.03784 15.6540i −1.02996 1.78394i
\(78\) −7.19613 + 3.31960i −0.814801 + 0.375871i
\(79\) −3.61917 + 6.26859i −0.407189 + 0.705271i −0.994573 0.104036i \(-0.966824\pi\)
0.587385 + 0.809308i \(0.300157\pi\)
\(80\) 3.06890i 0.343113i
\(81\) −0.858397 8.95897i −0.0953774 0.995441i
\(82\) −5.80101 −0.640615
\(83\) −3.04623 1.75874i −0.334367 0.193047i 0.323411 0.946259i \(-0.395170\pi\)
−0.657778 + 0.753211i \(0.728504\pi\)
\(84\) −1.31247 2.96619i −0.143202 0.323638i
\(85\) −2.04499 + 1.18067i −0.221810 + 0.128062i
\(86\) 2.15675 1.24520i 0.232568 0.134273i
\(87\) 1.00883 9.39062i 0.108158 1.00678i
\(88\) 5.70240 9.87685i 0.607878 1.05288i
\(89\) 17.2510i 1.82860i 0.405037 + 0.914300i \(0.367258\pi\)
−0.405037 + 0.914300i \(0.632742\pi\)
\(90\) 2.56036 2.81741i 0.269886 0.296981i
\(91\) 17.3269 0.270929i 1.81635 0.0284011i
\(92\) 1.58874 2.75178i 0.165638 0.286893i
\(93\) −1.54565 + 2.11715i −0.160276 + 0.219538i
\(94\) 6.21556 + 10.7657i 0.641086 + 1.11039i
\(95\) −2.30476 3.99196i −0.236463 0.409566i
\(96\) 2.21669 3.03631i 0.226240 0.309892i
\(97\) −2.99976 1.73191i −0.304580 0.175849i 0.339919 0.940455i \(-0.389600\pi\)
−0.644498 + 0.764606i \(0.722934\pi\)
\(98\) 20.4302i 2.06377i
\(99\) −10.7465 + 3.43718i −1.08006 + 0.345450i
\(100\) −0.389641 −0.0389641
\(101\) −5.84878 + 10.1304i −0.581976 + 1.00801i 0.413269 + 0.910609i \(0.364387\pi\)
−0.995245 + 0.0974027i \(0.968947\pi\)
\(102\) −5.16048 0.554388i −0.510964 0.0548926i
\(103\) 8.04590 + 13.9359i 0.792786 + 1.37315i 0.924236 + 0.381823i \(0.124704\pi\)
−0.131450 + 0.991323i \(0.541963\pi\)
\(104\) 5.61420 + 9.38220i 0.550518 + 0.920001i
\(105\) −7.61264 + 3.36841i −0.742917 + 0.328723i
\(106\) 8.84865 + 5.10877i 0.859457 + 0.496208i
\(107\) 8.39630 0.811701 0.405850 0.913940i \(-0.366975\pi\)
0.405850 + 0.913940i \(0.366975\pi\)
\(108\) −1.98325 + 0.407274i −0.190838 + 0.0391900i
\(109\) 10.4083i 0.996935i 0.866908 + 0.498468i \(0.166104\pi\)
−0.866908 + 0.498468i \(0.833896\pi\)
\(110\) −4.13319 2.38630i −0.394085 0.227525i
\(111\) −6.80122 15.3708i −0.645543 1.45893i
\(112\) 12.7736 7.37486i 1.20699 0.696859i
\(113\) 2.73296 + 4.73363i 0.257095 + 0.445302i 0.965463 0.260542i \(-0.0839012\pi\)
−0.708367 + 0.705844i \(0.750568\pi\)
\(114\) 1.08220 10.0736i 0.101358 0.943481i
\(115\) −7.06236 4.07745i −0.658568 0.380224i
\(116\) −2.12466 −0.197270
\(117\) 2.13200 10.6045i 0.197104 0.980383i
\(118\) 1.22963 0.113196
\(119\) 9.82860 + 5.67455i 0.900987 + 0.520185i
\(120\) −4.24214 3.09702i −0.387253 0.282718i
\(121\) 1.57225 + 2.72321i 0.142932 + 0.247565i
\(122\) −10.4653 + 6.04214i −0.947484 + 0.547030i
\(123\) 4.66867 6.39489i 0.420959 0.576608i
\(124\) 0.510687 + 0.294846i 0.0458611 + 0.0264779i
\(125\) 1.00000i 0.0894427i
\(126\) −17.8796 3.88646i −1.59285 0.346233i
\(127\) −10.9872 −0.974960 −0.487480 0.873134i \(-0.662084\pi\)
−0.487480 + 0.873134i \(0.662084\pi\)
\(128\) 6.01295 + 3.47158i 0.531475 + 0.306847i
\(129\) −0.363078 + 3.37969i −0.0319672 + 0.297565i
\(130\) 3.92620 2.34939i 0.344350 0.206055i
\(131\) −0.722965 1.25221i −0.0631657 0.109406i 0.832713 0.553705i \(-0.186786\pi\)
−0.895879 + 0.444298i \(0.853453\pi\)
\(132\) 1.02703 + 2.32109i 0.0893913 + 0.202025i
\(133\) −11.0771 + 19.1861i −0.960507 + 1.66365i
\(134\) 2.59066 0.223799
\(135\) 1.04526 + 5.08994i 0.0899613 + 0.438072i
\(136\) 7.16068i 0.614023i
\(137\) 14.3803 + 8.30248i 1.22859 + 0.709329i 0.966736 0.255777i \(-0.0823314\pi\)
0.261858 + 0.965106i \(0.415665\pi\)
\(138\) −7.25278 16.3913i −0.617398 1.39532i
\(139\) −4.47056 7.74324i −0.379188 0.656773i 0.611756 0.791046i \(-0.290463\pi\)
−0.990944 + 0.134273i \(0.957130\pi\)
\(140\) 0.936344 + 1.62180i 0.0791355 + 0.137067i
\(141\) −16.8701 1.81235i −1.42072 0.152627i
\(142\) −4.94244 + 8.56056i −0.414761 + 0.718387i
\(143\) −13.5585 + 0.212006i −1.13382 + 0.0177288i
\(144\) −2.80473 8.76908i −0.233727 0.730757i
\(145\) 5.45287i 0.452837i
\(146\) −1.26885 + 2.19771i −0.105011 + 0.181884i
\(147\) 22.5218 + 16.4423i 1.85757 + 1.35614i
\(148\) −3.27459 + 1.89059i −0.269170 + 0.155405i
\(149\) 10.4804 6.05087i 0.858589 0.495706i −0.00495067 0.999988i \(-0.501576\pi\)
0.863539 + 0.504281i \(0.168243\pi\)
\(150\) −1.29602 + 1.77522i −0.105820 + 0.144946i
\(151\) −5.41249 3.12490i −0.440462 0.254301i 0.263331 0.964705i \(-0.415179\pi\)
−0.703794 + 0.710404i \(0.748512\pi\)
\(152\) −13.9781 −1.13378
\(153\) 4.76431 5.24262i 0.385172 0.423841i
\(154\) 22.9380i 1.84840i
\(155\) 0.756711 1.31066i 0.0607805 0.105275i
\(156\) −2.42315 0.222056i −0.194007 0.0177787i
\(157\) −1.69828 2.94150i −0.135537 0.234758i 0.790265 0.612765i \(-0.209943\pi\)
−0.925803 + 0.378007i \(0.876609\pi\)
\(158\) 7.95483 4.59273i 0.632853 0.365378i
\(159\) −12.7532 + 5.64299i −1.01139 + 0.447518i
\(160\) −1.08524 + 1.87969i −0.0857956 + 0.148602i
\(161\) 39.1941i 3.08892i
\(162\) −4.74110 + 10.3904i −0.372496 + 0.816349i
\(163\) 12.7211i 0.996395i 0.867064 + 0.498197i \(0.166005\pi\)
−0.867064 + 0.498197i \(0.833995\pi\)
\(164\) −1.54254 0.890588i −0.120452 0.0695432i
\(165\) 5.95700 2.63583i 0.463752 0.205199i
\(166\) 2.23184 + 3.86567i 0.173225 + 0.300034i
\(167\) −5.67167 + 3.27454i −0.438887 + 0.253391i −0.703125 0.711066i \(-0.748213\pi\)
0.264239 + 0.964457i \(0.414879\pi\)
\(168\) −2.69642 + 25.0994i −0.208033 + 1.93646i
\(169\) 6.14483 11.4560i 0.472679 0.881235i
\(170\) 2.99655 0.229825
\(171\) 10.2340 + 9.30026i 0.782610 + 0.711209i
\(172\) 0.764666 0.0583052
\(173\) −0.135531 + 0.234747i −0.0103043 + 0.0178475i −0.871132 0.491050i \(-0.836613\pi\)
0.860827 + 0.508897i \(0.169947\pi\)
\(174\) −7.06704 + 9.68006i −0.535751 + 0.733843i
\(175\) 4.16228 2.40310i 0.314639 0.181657i
\(176\) −9.99555 + 5.77094i −0.753443 + 0.435001i
\(177\) −0.989606 + 1.35551i −0.0743833 + 0.101886i
\(178\) 10.9457 18.9586i 0.820418 1.42101i
\(179\) −21.1297 −1.57931 −0.789654 0.613552i \(-0.789740\pi\)
−0.789654 + 0.613552i \(0.789740\pi\)
\(180\) 1.11336 0.356101i 0.0829850 0.0265422i
\(181\) −17.3149 −1.28701 −0.643504 0.765443i \(-0.722520\pi\)
−0.643504 + 0.765443i \(0.722520\pi\)
\(182\) −19.2139 10.6961i −1.42423 0.792850i
\(183\) 1.76178 16.3994i 0.130235 1.21228i
\(184\) −21.4163 + 12.3647i −1.57883 + 0.911537i
\(185\) 4.85213 + 8.40414i 0.356736 + 0.617884i
\(186\) 3.04197 1.34600i 0.223048 0.0986936i
\(187\) −7.69103 4.44042i −0.562424 0.324715i
\(188\) 3.81692i 0.278378i
\(189\) 18.6739 16.5823i 1.35833 1.20618i
\(190\) 5.84947i 0.424365i
\(191\) −0.526602 + 0.912101i −0.0381036 + 0.0659973i −0.884448 0.466638i \(-0.845465\pi\)
0.846345 + 0.532636i \(0.178798\pi\)
\(192\) −14.0844 + 6.23203i −1.01646 + 0.449758i
\(193\) 2.18280 1.26024i 0.157121 0.0907140i −0.419378 0.907812i \(-0.637752\pi\)
0.576499 + 0.817098i \(0.304418\pi\)
\(194\) 2.19780 + 3.80670i 0.157793 + 0.273305i
\(195\) −0.569899 + 6.21894i −0.0408113 + 0.445348i
\(196\) 3.13651 5.43259i 0.224036 0.388042i
\(197\) 5.98102i 0.426130i −0.977038 0.213065i \(-0.931655\pi\)
0.977038 0.213065i \(-0.0683446\pi\)
\(198\) 13.9911 + 3.04121i 0.994303 + 0.216129i
\(199\) −14.3085 −1.01430 −0.507151 0.861857i \(-0.669301\pi\)
−0.507151 + 0.861857i \(0.669301\pi\)
\(200\) 2.62618 + 1.51623i 0.185699 + 0.107213i
\(201\) −2.08497 + 2.85588i −0.147062 + 0.201438i
\(202\) 12.8555 7.42210i 0.904507 0.522217i
\(203\) 22.6964 13.1038i 1.59298 0.919705i
\(204\) −1.28711 0.939669i −0.0901157 0.0657900i
\(205\) −2.28566 + 3.95889i −0.159638 + 0.276501i
\(206\) 20.4205i 1.42276i
\(207\) 23.9065 + 5.19649i 1.66161 + 0.361181i
\(208\) −0.172996 11.0637i −0.0119951 0.767131i
\(209\) 8.66800 15.0134i 0.599578 1.03850i
\(210\) 10.5034 + 1.12838i 0.724806 + 0.0778655i
\(211\) 10.5332 + 18.2440i 0.725135 + 1.25597i 0.958918 + 0.283683i \(0.0915562\pi\)
−0.233783 + 0.972289i \(0.575110\pi\)
\(212\) 1.56863 + 2.71694i 0.107734 + 0.186600i
\(213\) −5.45927 12.3380i −0.374063 0.845385i
\(214\) −9.22741 5.32745i −0.630773 0.364177i
\(215\) 1.96249i 0.133841i
\(216\) 14.9519 + 4.97246i 1.01735 + 0.338333i
\(217\) −7.27380 −0.493778
\(218\) 6.60407 11.4386i 0.447284 0.774719i
\(219\) −1.40153 3.16747i −0.0947068 0.214038i
\(220\) −0.732703 1.26908i −0.0493988 0.0855613i
\(221\) 7.30585 4.37174i 0.491445 0.294075i
\(222\) −2.27833 + 21.2077i −0.152911 + 1.42336i
\(223\) −7.84497 4.52930i −0.525338 0.303304i 0.213778 0.976882i \(-0.431423\pi\)
−0.739116 + 0.673578i \(0.764757\pi\)
\(224\) 10.4317 0.696999
\(225\) −0.913921 2.85740i −0.0609280 0.190493i
\(226\) 6.93625i 0.461393i
\(227\) −4.52858 2.61457i −0.300572 0.173535i 0.342128 0.939653i \(-0.388852\pi\)
−0.642700 + 0.766118i \(0.722186\pi\)
\(228\) 1.83430 2.51253i 0.121479 0.166396i
\(229\) −6.95692 + 4.01658i −0.459726 + 0.265423i −0.711929 0.702251i \(-0.752178\pi\)
0.252203 + 0.967674i \(0.418845\pi\)
\(230\) 5.17429 + 8.96213i 0.341182 + 0.590945i
\(231\) −25.2863 18.4606i −1.66372 1.21462i
\(232\) 14.3202 + 8.26779i 0.940169 + 0.542807i
\(233\) −3.65893 −0.239705 −0.119852 0.992792i \(-0.538242\pi\)
−0.119852 + 0.992792i \(0.538242\pi\)
\(234\) −9.07157 + 10.3014i −0.593027 + 0.673423i
\(235\) 9.79600 0.639021
\(236\) 0.326969 + 0.188776i 0.0212839 + 0.0122883i
\(237\) −1.33916 + 12.4654i −0.0869876 + 0.809718i
\(238\) −7.20100 12.4725i −0.466771 0.808472i
\(239\) 2.24928 1.29862i 0.145494 0.0840009i −0.425486 0.904965i \(-0.639897\pi\)
0.570980 + 0.820964i \(0.306563\pi\)
\(240\) 2.15083 + 4.86090i 0.138836 + 0.313770i
\(241\) −26.1006 15.0692i −1.68129 0.970691i −0.960808 0.277214i \(-0.910589\pi\)
−0.720478 0.693478i \(-0.756078\pi\)
\(242\) 3.99036i 0.256510i
\(243\) −7.63851 13.5887i −0.490011 0.871716i
\(244\) −3.71043 −0.237536
\(245\) −13.9426 8.04974i −0.890758 0.514279i
\(246\) −9.18836 + 4.06563i −0.585828 + 0.259215i
\(247\) 8.53394 + 14.2615i 0.543001 + 0.907439i
\(248\) −2.29469 3.97452i −0.145713 0.252382i
\(249\) −6.05761 0.650766i −0.383885 0.0412406i
\(250\) 0.634500 1.09899i 0.0401293 0.0695060i
\(251\) 16.2893 1.02817 0.514087 0.857738i \(-0.328131\pi\)
0.514087 + 0.857738i \(0.328131\pi\)
\(252\) −4.15771 3.77838i −0.261911 0.238016i
\(253\) 30.6699i 1.92820i
\(254\) 12.0748 + 6.97140i 0.757642 + 0.437425i
\(255\) −2.41163 + 3.30332i −0.151022 + 0.206862i
\(256\) 4.48670 + 7.77119i 0.280419 + 0.485699i
\(257\) −8.22548 14.2469i −0.513091 0.888700i −0.999885 0.0151829i \(-0.995167\pi\)
0.486794 0.873517i \(-0.338166\pi\)
\(258\) 2.54343 3.48385i 0.158347 0.216895i
\(259\) 23.3203 40.3919i 1.44905 2.50983i
\(260\) 1.40470 0.0219644i 0.0871157 0.00136217i
\(261\) −4.98350 15.5811i −0.308471 0.964443i
\(262\) 1.83488i 0.113360i
\(263\) 3.08187 5.33795i 0.190036 0.329152i −0.755226 0.655465i \(-0.772473\pi\)
0.945262 + 0.326312i \(0.105806\pi\)
\(264\) 2.10999 19.6407i 0.129861 1.20880i
\(265\) 6.97294 4.02583i 0.428344 0.247305i
\(266\) 24.3472 14.0568i 1.49282 0.861880i
\(267\) 12.0903 + 27.3242i 0.739916 + 1.67222i
\(268\) 0.688880 + 0.397725i 0.0420801 + 0.0242949i
\(269\) 14.3039 0.872126 0.436063 0.899916i \(-0.356373\pi\)
0.436063 + 0.899916i \(0.356373\pi\)
\(270\) 2.08084 6.25698i 0.126636 0.380788i
\(271\) 24.0122i 1.45864i 0.684174 + 0.729319i \(0.260163\pi\)
−0.684174 + 0.729319i \(0.739837\pi\)
\(272\) 3.62337 6.27586i 0.219699 0.380530i
\(273\) 27.2545 12.5726i 1.64952 0.760930i
\(274\) −10.5358 18.2486i −0.636494 1.10244i
\(275\) −3.25705 + 1.88046i −0.196407 + 0.113396i
\(276\) 0.587863 5.47208i 0.0353852 0.329380i
\(277\) −5.30432 + 9.18735i −0.318706 + 0.552015i −0.980218 0.197920i \(-0.936582\pi\)
0.661513 + 0.749934i \(0.269915\pi\)
\(278\) 11.3463i 0.680505i
\(279\) −0.964387 + 4.43666i −0.0577363 + 0.265616i
\(280\) 14.5746i 0.870996i
\(281\) −2.33309 1.34701i −0.139181 0.0803560i 0.428793 0.903403i \(-0.358939\pi\)
−0.567973 + 0.823047i \(0.692272\pi\)
\(282\) 17.3901 + 12.6958i 1.03556 + 0.756025i
\(283\) −5.09249 8.82045i −0.302717 0.524321i 0.674033 0.738701i \(-0.264560\pi\)
−0.976750 + 0.214380i \(0.931227\pi\)
\(284\) −2.62848 + 1.51756i −0.155972 + 0.0900504i
\(285\) −6.44832 4.70767i −0.381965 0.278858i
\(286\) 15.0351 + 8.36989i 0.889046 + 0.494922i
\(287\) 21.9707 1.29689
\(288\) 1.38308 6.36284i 0.0814985 0.374934i
\(289\) −11.4240 −0.672002
\(290\) 3.45985 5.99263i 0.203169 0.351899i
\(291\) −5.96520 0.640838i −0.349686 0.0375666i
\(292\) −0.674798 + 0.389595i −0.0394896 + 0.0227993i
\(293\) 6.12927 3.53873i 0.358076 0.206735i −0.310161 0.950684i \(-0.600383\pi\)
0.668236 + 0.743949i \(0.267050\pi\)
\(294\) −14.3185 32.3599i −0.835072 1.88727i
\(295\) 0.484487 0.839155i 0.0282079 0.0488575i
\(296\) 29.4277 1.71045
\(297\) −14.6126 + 12.9759i −0.847910 + 0.752936i
\(298\) −15.3571 −0.889613
\(299\) 25.6904 + 14.3016i 1.48572 + 0.827081i
\(300\) −0.617161 + 0.273079i −0.0356318 + 0.0157662i
\(301\) −8.16844 + 4.71605i −0.470821 + 0.271829i
\(302\) 3.96550 + 6.86845i 0.228189 + 0.395235i
\(303\) −2.16415 + 20.1449i −0.124327 + 1.15729i
\(304\) 12.2509 + 7.07307i 0.702638 + 0.405668i
\(305\) 9.52269i 0.545268i
\(306\) −8.56235 + 2.73861i −0.489477 + 0.156556i
\(307\) 18.7363i 1.06934i −0.845061 0.534670i \(-0.820436\pi\)
0.845061 0.534670i \(-0.179564\pi\)
\(308\) −3.52151 + 6.09944i −0.200657 + 0.347548i
\(309\) 22.5110 + 16.4344i 1.28061 + 0.934923i
\(310\) −1.66323 + 0.960266i −0.0944651 + 0.0545394i
\(311\) 0.812896 + 1.40798i 0.0460951 + 0.0798391i 0.888152 0.459549i \(-0.151989\pi\)
−0.842057 + 0.539388i \(0.818656\pi\)
\(312\) 15.4680 + 10.9260i 0.875701 + 0.618562i
\(313\) −11.9103 + 20.6293i −0.673212 + 1.16604i 0.303776 + 0.952744i \(0.401753\pi\)
−0.976988 + 0.213294i \(0.931581\pi\)
\(314\) 4.31023i 0.243240i
\(315\) −9.69708 + 10.6706i −0.546369 + 0.601221i
\(316\) 2.82035 0.158657
\(317\) −22.5579 13.0238i −1.26698 0.731489i −0.292561 0.956247i \(-0.594507\pi\)
−0.974415 + 0.224758i \(0.927841\pi\)
\(318\) 17.5961 + 1.89034i 0.986738 + 0.106005i
\(319\) −17.7603 + 10.2539i −0.994385 + 0.574108i
\(320\) 7.70081 4.44606i 0.430488 0.248543i
\(321\) 13.2991 5.88453i 0.742283 0.328443i
\(322\) 24.8686 43.0737i 1.38587 2.40040i
\(323\) 10.8847i 0.605639i
\(324\) −2.85587 + 2.03505i −0.158660 + 0.113058i
\(325\) −0.0563708 3.60511i −0.00312689 0.199976i
\(326\) 8.07154 13.9803i 0.447041 0.774299i
\(327\) 7.29465 + 16.4860i 0.403395 + 0.911676i
\(328\) 6.93117 + 12.0051i 0.382710 + 0.662873i
\(329\) −23.5407 40.7737i −1.29784 2.24793i
\(330\) −8.21909 0.882973i −0.452446 0.0486061i
\(331\) −10.7862 6.22740i −0.592862 0.342289i 0.173367 0.984857i \(-0.444535\pi\)
−0.766228 + 0.642568i \(0.777869\pi\)
\(332\) 1.37056i 0.0752190i
\(333\) −21.5452 19.5795i −1.18067 1.07295i
\(334\) 8.31077 0.454745
\(335\) 1.02075 1.76799i 0.0557695 0.0965955i
\(336\) 15.0638 20.6336i 0.821797 1.12565i
\(337\) −11.8277 20.4862i −0.644296 1.11595i −0.984464 0.175589i \(-0.943817\pi\)
0.340167 0.940365i \(-0.389516\pi\)
\(338\) −14.0219 + 8.69114i −0.762693 + 0.472736i
\(339\) 7.64636 + 5.58231i 0.415293 + 0.303189i
\(340\) 0.796811 + 0.460039i 0.0432131 + 0.0249491i
\(341\) 5.69186 0.308231
\(342\) −5.34595 16.7143i −0.289076 0.903806i
\(343\) 43.7339i 2.36141i
\(344\) −5.15385 2.97558i −0.277877 0.160432i
\(345\) −14.0439 1.50873i −0.756098 0.0812273i
\(346\) 0.297894 0.171989i 0.0160149 0.00924619i
\(347\) 0.700524 + 1.21334i 0.0376061 + 0.0651357i 0.884216 0.467078i \(-0.154693\pi\)
−0.846610 + 0.532214i \(0.821360\pi\)
\(348\) −3.36530 + 1.48907i −0.180399 + 0.0798223i
\(349\) 13.7389 + 7.93218i 0.735429 + 0.424600i 0.820405 0.571783i \(-0.193748\pi\)
−0.0849760 + 0.996383i \(0.527081\pi\)
\(350\) −6.09905 −0.326008
\(351\) −4.05519 18.2909i −0.216450 0.976294i
\(352\) −8.16298 −0.435088
\(353\) −3.55731 2.05381i −0.189337 0.109313i 0.402335 0.915492i \(-0.368199\pi\)
−0.591672 + 0.806179i \(0.701532\pi\)
\(354\) 1.94763 0.861782i 0.103516 0.0458032i
\(355\) 3.89476 + 6.74592i 0.206712 + 0.358036i
\(356\) 5.82115 3.36084i 0.308520 0.178124i
\(357\) 19.5447 + 2.09968i 1.03442 + 0.111127i
\(358\) 23.2212 + 13.4068i 1.22728 + 0.708571i
\(359\) 1.03202i 0.0544682i 0.999629 + 0.0272341i \(0.00866995\pi\)
−0.999629 + 0.0272341i \(0.991330\pi\)
\(360\) −8.88977 1.93235i −0.468532 0.101844i
\(361\) −2.24763 −0.118296
\(362\) 19.0288 + 10.9863i 1.00013 + 0.577428i
\(363\) 4.39888 + 3.21145i 0.230881 + 0.168557i
\(364\) −3.46705 5.79397i −0.181723 0.303687i
\(365\) 0.999882 + 1.73185i 0.0523362 + 0.0906490i
\(366\) −12.3416 + 16.9049i −0.645106 + 0.883632i
\(367\) −2.54555 + 4.40902i −0.132877 + 0.230149i −0.924784 0.380492i \(-0.875755\pi\)
0.791908 + 0.610641i \(0.209088\pi\)
\(368\) 25.0266 1.30460
\(369\) 2.91295 13.4010i 0.151642 0.697631i
\(370\) 12.3147i 0.640211i
\(371\) −33.5133 19.3489i −1.73992 1.00455i
\(372\) 1.01553 + 0.109098i 0.0526529 + 0.00565647i
\(373\) −17.7051 30.6661i −0.916734 1.58783i −0.804343 0.594165i \(-0.797482\pi\)
−0.112391 0.993664i \(-0.535851\pi\)
\(374\) 5.63489 + 9.75991i 0.291373 + 0.504673i
\(375\) 0.700848 + 1.58392i 0.0361917 + 0.0817934i
\(376\) 14.8530 25.7261i 0.765983 1.32672i
\(377\) −0.307383 19.6582i −0.0158310 1.01245i
\(378\) −31.0438 + 6.37508i −1.59672 + 0.327898i
\(379\) 22.3002i 1.14549i −0.819735 0.572743i \(-0.805879\pi\)
0.819735 0.572743i \(-0.194121\pi\)
\(380\) −0.898028 + 1.55543i −0.0460678 + 0.0797918i
\(381\) −17.4029 + 7.70039i −0.891580 + 0.394503i
\(382\) 1.15746 0.668257i 0.0592206 0.0341910i
\(383\) −13.8162 + 7.97680i −0.705976 + 0.407595i −0.809569 0.587024i \(-0.800299\pi\)
0.103593 + 0.994620i \(0.466966\pi\)
\(384\) 11.9571 + 1.28454i 0.610183 + 0.0655516i
\(385\) 15.6540 + 9.03784i 0.797802 + 0.460611i
\(386\) −3.19848 −0.162799
\(387\) 1.79356 + 5.60762i 0.0911718 + 0.285052i
\(388\) 1.34965i 0.0685180i
\(389\) 3.10375 5.37586i 0.157366 0.272567i −0.776552 0.630053i \(-0.783033\pi\)
0.933918 + 0.357487i \(0.116366\pi\)
\(390\) 4.57223 6.47293i 0.231524 0.327769i
\(391\) 9.62829 + 16.6767i 0.486923 + 0.843376i
\(392\) −42.2802 + 24.4105i −2.13547 + 1.23291i
\(393\) −2.02273 1.47672i −0.102033 0.0744906i
\(394\) −3.79495 + 6.57305i −0.191187 + 0.331146i
\(395\) 7.23834i 0.364200i
\(396\) 3.25347 + 2.95664i 0.163493 + 0.148577i
\(397\) 10.2788i 0.515877i −0.966161 0.257938i \(-0.916957\pi\)
0.966161 0.257938i \(-0.0830432\pi\)
\(398\) 15.7248 + 9.07873i 0.788214 + 0.455076i
\(399\) −4.09873 + 38.1527i −0.205193 + 1.91002i
\(400\) −1.53445 2.65774i −0.0767225 0.132887i
\(401\) −3.87770 + 2.23879i −0.193643 + 0.111800i −0.593687 0.804696i \(-0.702328\pi\)
0.400044 + 0.916496i \(0.368995\pi\)
\(402\) 4.10340 1.81566i 0.204659 0.0905568i
\(403\) −2.65414 + 4.76774i −0.132212 + 0.237498i
\(404\) 4.55785 0.226761
\(405\) 5.22288 + 7.32950i 0.259527 + 0.364206i
\(406\) −33.2574 −1.65054
\(407\) −18.2485 + 31.6073i −0.904543 + 1.56671i
\(408\) 5.01855 + 11.3420i 0.248455 + 0.561511i
\(409\) −5.44839 + 3.14563i −0.269406 + 0.155541i −0.628618 0.777715i \(-0.716379\pi\)
0.359212 + 0.933256i \(0.383046\pi\)
\(410\) 5.02382 2.90051i 0.248109 0.143246i
\(411\) 28.5961 + 3.07207i 1.41054 + 0.151534i
\(412\) 3.13501 5.43000i 0.154451 0.267517i
\(413\) −4.65707 −0.229160
\(414\) −22.9757 20.8795i −1.12919 1.02617i
\(415\) 3.51749 0.172667
\(416\) 3.80644 6.83765i 0.186626 0.335244i
\(417\) −12.5079 9.13151i −0.612513 0.447172i
\(418\) −19.0520 + 10.9997i −0.931865 + 0.538012i
\(419\) 10.8868 + 18.8564i 0.531853 + 0.921197i 0.999309 + 0.0371800i \(0.0118375\pi\)
−0.467455 + 0.884017i \(0.654829\pi\)
\(420\) 2.61973 + 1.91256i 0.127830 + 0.0933236i
\(421\) 26.7567 + 15.4480i 1.30404 + 0.752889i 0.981095 0.193527i \(-0.0619929\pi\)
0.322948 + 0.946417i \(0.395326\pi\)
\(422\) 26.7332i 1.30135i
\(423\) −27.9911 + 8.95277i −1.36097 + 0.435298i
\(424\) 24.4163i 1.18576i
\(425\) 1.18067 2.04499i 0.0572711 0.0991965i
\(426\) −1.82879 + 17.0232i −0.0886052 + 0.824776i
\(427\) 39.6361 22.8839i 1.91813 1.10743i
\(428\) −1.63577 2.83324i −0.0790679 0.136950i
\(429\) −21.3271 + 9.83827i −1.02968 + 0.474996i
\(430\) −1.24520 + 2.15675i −0.0600488 + 0.104008i
\(431\) 23.3922i 1.12676i 0.826197 + 0.563382i \(0.190500\pi\)
−0.826197 + 0.563382i \(0.809500\pi\)
\(432\) −10.5883 11.9239i −0.509428 0.573687i
\(433\) 19.7872 0.950912 0.475456 0.879739i \(-0.342283\pi\)
0.475456 + 0.879739i \(0.342283\pi\)
\(434\) 7.99380 + 4.61522i 0.383715 + 0.221538i
\(435\) 3.82164 + 8.63693i 0.183234 + 0.414109i
\(436\) 3.51217 2.02775i 0.168202 0.0971117i
\(437\) −32.5540 + 18.7951i −1.55727 + 0.899091i
\(438\) −0.469497 + 4.37028i −0.0224334 + 0.208820i
\(439\) −12.9397 + 22.4123i −0.617580 + 1.06968i 0.372346 + 0.928094i \(0.378553\pi\)
−0.989926 + 0.141586i \(0.954780\pi\)
\(440\) 11.4048i 0.543703i
\(441\) 47.1963 + 10.2590i 2.24744 + 0.488522i
\(442\) −10.8029 + 0.168918i −0.513841 + 0.00803460i
\(443\) 9.98560 17.2956i 0.474430 0.821737i −0.525141 0.851015i \(-0.675987\pi\)
0.999571 + 0.0292778i \(0.00932075\pi\)
\(444\) −3.86169 + 5.28954i −0.183268 + 0.251030i
\(445\) −8.62549 14.9398i −0.408887 0.708214i
\(446\) 5.74768 + 9.95527i 0.272160 + 0.471396i
\(447\) 12.3594 16.9293i 0.584581 0.800728i
\(448\) −37.0116 21.3686i −1.74863 1.00957i
\(449\) 7.58613i 0.358012i 0.983848 + 0.179006i \(0.0572881\pi\)
−0.983848 + 0.179006i \(0.942712\pi\)
\(450\) −0.808635 + 3.72013i −0.0381194 + 0.175368i
\(451\) −17.1924 −0.809558
\(452\) 1.06487 1.84441i 0.0500874 0.0867540i
\(453\) −10.7631 1.15627i −0.505692 0.0543263i
\(454\) 3.31789 + 5.74676i 0.155716 + 0.269709i
\(455\) −14.8700 + 8.89806i −0.697118 + 0.417147i
\(456\) −22.1403 + 9.79656i −1.03681 + 0.458766i
\(457\) 21.0084 + 12.1292i 0.982732 + 0.567380i 0.903094 0.429443i \(-0.141290\pi\)
0.0796380 + 0.996824i \(0.474624\pi\)
\(458\) 10.1941 0.476338
\(459\) 3.87202 11.6430i 0.180730 0.543447i
\(460\) 3.17748i 0.148151i
\(461\) 3.40786 + 1.96753i 0.158720 + 0.0916369i 0.577256 0.816563i \(-0.304123\pi\)
−0.418536 + 0.908200i \(0.637457\pi\)
\(462\) 16.0761 + 36.3321i 0.747927 + 1.69032i
\(463\) 23.1586 13.3706i 1.07627 0.621385i 0.146383 0.989228i \(-0.453237\pi\)
0.929888 + 0.367843i \(0.119903\pi\)
\(464\) −8.36716 14.4923i −0.388436 0.672790i
\(465\) 0.279996 2.60633i 0.0129845 0.120866i
\(466\) 4.02112 + 2.32159i 0.186275 + 0.107546i
\(467\) −20.5048 −0.948851 −0.474426 0.880296i \(-0.657344\pi\)
−0.474426 + 0.880296i \(0.657344\pi\)
\(468\) −3.99371 + 1.34654i −0.184609 + 0.0622440i
\(469\) −9.81183 −0.453068
\(470\) −10.7657 6.21556i −0.496583 0.286702i
\(471\) −4.75149 3.46888i −0.218937 0.159838i
\(472\) −1.46918 2.54470i −0.0676246 0.117129i
\(473\) 6.39193 3.69038i 0.293901 0.169684i
\(474\) 9.38104 12.8497i 0.430885 0.590204i
\(475\) 3.99196 + 2.30476i 0.183164 + 0.105750i
\(476\) 4.42207i 0.202685i
\(477\) −16.2452 + 17.8761i −0.743817 + 0.818491i
\(478\) −3.29590 −0.150751
\(479\) −6.33700 3.65867i −0.289545 0.167169i 0.348192 0.937423i \(-0.386796\pi\)
−0.637737 + 0.770254i \(0.720129\pi\)
\(480\) −0.401557 + 3.73787i −0.0183285 + 0.170609i
\(481\) −17.9662 30.0243i −0.819189 1.36899i
\(482\) 19.1228 + 33.1216i 0.871019 + 1.50865i
\(483\) 27.4691 + 62.0804i 1.24989 + 2.82475i
\(484\) 0.612612 1.06107i 0.0278460 0.0482307i
\(485\) 3.46383 0.157284
\(486\) −0.227415 + 19.7804i −0.0103157 + 0.897259i
\(487\) 13.1949i 0.597920i −0.954266 0.298960i \(-0.903360\pi\)
0.954266 0.298960i \(-0.0966397\pi\)
\(488\) 25.0083 + 14.4385i 1.13207 + 0.653602i
\(489\) 8.91558 + 20.1493i 0.403176 + 0.911181i
\(490\) 10.2151 + 17.6931i 0.461472 + 0.799293i
\(491\) 6.20984 + 10.7558i 0.280246 + 0.485401i 0.971445 0.237264i \(-0.0762505\pi\)
−0.691199 + 0.722664i \(0.742917\pi\)
\(492\) −3.06744 0.329533i −0.138291 0.0148565i
\(493\) 6.43807 11.1511i 0.289956 0.502219i
\(494\) −0.329739 21.0880i −0.0148357 0.948794i
\(495\) 7.58811 8.34991i 0.341060 0.375301i
\(496\) 4.64454i 0.208546i
\(497\) 18.7190 32.4222i 0.839660 1.45433i
\(498\) 6.24431 + 4.55873i 0.279814 + 0.204282i
\(499\) 1.11076 0.641296i 0.0497244 0.0287084i −0.474932 0.880023i \(-0.657527\pi\)
0.524656 + 0.851314i \(0.324194\pi\)
\(500\) 0.337439 0.194820i 0.0150907 0.00871263i
\(501\) −6.68853 + 9.16160i −0.298821 + 0.409310i
\(502\) −17.9017 10.3356i −0.798994 0.461299i
\(503\) 0.888877 0.0396331 0.0198165 0.999804i \(-0.493692\pi\)
0.0198165 + 0.999804i \(0.493692\pi\)
\(504\) 13.3200 + 41.6454i 0.593319 + 1.85503i
\(505\) 11.6976i 0.520535i
\(506\) −19.4601 + 33.7058i −0.865105 + 1.49841i
\(507\) 1.70398 22.4521i 0.0756765 0.997132i
\(508\) 2.14054 + 3.70752i 0.0949711 + 0.164495i
\(509\) 17.0350 9.83516i 0.755063 0.435936i −0.0724576 0.997371i \(-0.523084\pi\)
0.827520 + 0.561436i \(0.189751\pi\)
\(510\) 4.74630 2.10013i 0.210170 0.0929952i
\(511\) 4.80563 8.32359i 0.212588 0.368214i
\(512\) 25.2735i 1.11694i
\(513\) 22.7279 + 7.55845i 1.00346 + 0.333714i
\(514\) 20.8762i 0.920812i
\(515\) −13.9359 8.04590i −0.614089 0.354545i
\(516\) 1.21117 0.535915i 0.0533189 0.0235923i
\(517\) 18.4210 + 31.9061i 0.810153 + 1.40323i
\(518\) −51.2573 + 29.5934i −2.25212 + 1.30026i
\(519\) −0.0501490 + 0.466808i −0.00220130 + 0.0204906i
\(520\) −9.55314 5.31812i −0.418933 0.233215i
\(521\) −22.9486 −1.00539 −0.502697 0.864462i \(-0.667659\pi\)
−0.502697 + 0.864462i \(0.667659\pi\)
\(522\) −4.40939 + 20.2854i −0.192994 + 0.887867i
\(523\) −9.07474 −0.396811 −0.198405 0.980120i \(-0.563576\pi\)
−0.198405 + 0.980120i \(0.563576\pi\)
\(524\) −0.281697 + 0.487913i −0.0123060 + 0.0213146i
\(525\) 4.90853 6.72345i 0.214226 0.293435i
\(526\) −6.77386 + 3.91089i −0.295354 + 0.170523i
\(527\) −3.09493 + 1.78686i −0.134817 + 0.0778368i
\(528\) −11.7876 + 16.1461i −0.512991 + 0.702668i
\(529\) −21.7513 + 37.6743i −0.945707 + 1.63801i
\(530\) −10.2175 −0.443822
\(531\) −0.617452 + 2.84059i −0.0267951 + 0.123271i
\(532\) 8.63219 0.374253
\(533\) 8.01691 14.4011i 0.347251 0.623779i
\(534\) 4.05012 37.7002i 0.175266 1.63145i
\(535\) −7.27141 + 4.19815i −0.314370 + 0.181502i
\(536\) −3.09537 5.36134i −0.133700 0.231575i
\(537\) −33.4678 + 14.8087i −1.44424 + 0.639044i
\(538\) −15.7198 9.07583i −0.677729 0.391287i
\(539\) 60.5488i 2.60802i
\(540\) 1.51390 1.34433i 0.0651481 0.0578509i
\(541\) 27.0746i 1.16403i −0.813178 0.582015i \(-0.802265\pi\)
0.813178 0.582015i \(-0.197735\pi\)
\(542\) 15.2357 26.3891i 0.654431 1.13351i
\(543\) −27.4255 + 12.1351i −1.17694 + 0.520768i
\(544\) 4.43859 2.56262i 0.190303 0.109872i
\(545\) −5.20416 9.01386i −0.222922 0.386111i
\(546\) −37.9297 3.47584i −1.62324 0.148752i
\(547\) −21.2836 + 36.8643i −0.910022 + 1.57620i −0.0959915 + 0.995382i \(0.530602\pi\)
−0.814030 + 0.580822i \(0.802731\pi\)
\(548\) 6.46997i 0.276384i
\(549\) −8.70298 27.2102i −0.371434 1.16130i
\(550\) 4.77260 0.203504
\(551\) 21.7676 + 12.5676i 0.927333 + 0.535396i
\(552\) −25.2559 + 34.5943i −1.07496 + 1.47243i
\(553\) −30.1280 + 17.3944i −1.28117 + 0.739686i
\(554\) 11.6587 6.73118i 0.495333 0.285980i
\(555\) 13.5754 + 9.91089i 0.576245 + 0.420694i
\(556\) −1.74191 + 3.01708i −0.0738736 + 0.127953i
\(557\) 15.6503i 0.663122i 0.943434 + 0.331561i \(0.107575\pi\)
−0.943434 + 0.331561i \(0.892425\pi\)
\(558\) 3.87491 4.26393i 0.164038 0.180506i
\(559\) 0.110627 + 7.07499i 0.00467903 + 0.299240i
\(560\) −7.37486 + 12.7736i −0.311645 + 0.539784i
\(561\) −15.2941 1.64303i −0.645715 0.0693689i
\(562\) 1.70936 + 2.96069i 0.0721049 + 0.124889i
\(563\) 8.50949 + 14.7389i 0.358632 + 0.621169i 0.987733 0.156155i \(-0.0499098\pi\)
−0.629100 + 0.777324i \(0.716577\pi\)
\(564\) 2.67508 + 6.04571i 0.112641 + 0.254570i
\(565\) −4.73363 2.73296i −0.199145 0.114977i
\(566\) 12.9247i 0.543267i
\(567\) 17.9564 39.3526i 0.754097 1.65265i
\(568\) 23.6213 0.991129
\(569\) 8.97682 15.5483i 0.376328 0.651819i −0.614197 0.789153i \(-0.710520\pi\)
0.990525 + 0.137334i \(0.0438534\pi\)
\(570\) 4.09959 + 9.26511i 0.171713 + 0.388073i
\(571\) 6.85946 + 11.8809i 0.287060 + 0.497202i 0.973107 0.230355i \(-0.0739889\pi\)
−0.686047 + 0.727557i \(0.740656\pi\)
\(572\) 2.71302 + 4.53387i 0.113437 + 0.189571i
\(573\) −0.194852 + 1.81377i −0.00814006 + 0.0757712i
\(574\) −24.1455 13.9404i −1.00781 0.581861i
\(575\) 8.15491 0.340083
\(576\) −17.9410 + 19.7421i −0.747540 + 0.822588i
\(577\) 10.4582i 0.435379i −0.976018 0.217689i \(-0.930148\pi\)
0.976018 0.217689i \(-0.0698519\pi\)
\(578\) 12.5548 + 7.24855i 0.522213 + 0.301500i
\(579\) 2.57415 3.52593i 0.106978 0.146533i
\(580\) 1.84001 1.06233i 0.0764023 0.0441109i
\(581\) −8.45286 14.6408i −0.350684 0.607402i
\(582\) 6.14906 + 4.48919i 0.254887 + 0.186083i
\(583\) 26.2246 + 15.1408i 1.08611 + 0.627068i
\(584\) 6.06419 0.250938
\(585\) 3.45586 + 10.2497i 0.142882 + 0.423774i
\(586\) −8.98130 −0.371014
\(587\) 27.4097 + 15.8250i 1.13132 + 0.653168i 0.944267 0.329182i \(-0.106773\pi\)
0.187054 + 0.982350i \(0.440106\pi\)
\(588\) 1.16056 10.8030i 0.0478608 0.445509i
\(589\) −3.48807 6.04152i −0.143723 0.248936i
\(590\) −1.06489 + 0.614813i −0.0438407 + 0.0253115i
\(591\) −4.19179 9.47347i −0.172427 0.389686i
\(592\) −25.7914 14.8907i −1.06002 0.612004i
\(593\) 36.6275i 1.50411i −0.659099 0.752056i \(-0.729062\pi\)
0.659099 0.752056i \(-0.270938\pi\)
\(594\) 24.2922 4.98859i 0.996722 0.204684i
\(595\) −11.3491 −0.465267
\(596\) −4.08360 2.35767i −0.167271 0.0965737i
\(597\) −22.6635 + 10.0281i −0.927557 + 0.410422i
\(598\) −19.1591 32.0178i −0.783473 1.30930i
\(599\) 3.38837 + 5.86883i 0.138445 + 0.239794i 0.926908 0.375288i \(-0.122456\pi\)
−0.788463 + 0.615082i \(0.789123\pi\)
\(600\) 5.22231 + 0.561030i 0.213200 + 0.0229040i
\(601\) 18.1627 31.4587i 0.740871 1.28323i −0.211228 0.977437i \(-0.567746\pi\)
0.952099 0.305790i \(-0.0989205\pi\)
\(602\) 11.9693 0.487834
\(603\) −1.30089 + 5.98474i −0.0529763 + 0.243717i
\(604\) 2.43518i 0.0990861i
\(605\) −2.72321 1.57225i −0.110714 0.0639209i
\(606\) 15.1603 20.7658i 0.615844 0.843552i
\(607\) −10.9449 18.9572i −0.444241 0.769447i 0.553758 0.832677i \(-0.313193\pi\)
−0.997999 + 0.0632301i \(0.979860\pi\)
\(608\) 5.00242 + 8.66444i 0.202875 + 0.351390i
\(609\) 26.7656 36.6621i 1.08460 1.48562i
\(610\) 6.04214 10.4653i 0.244639 0.423728i
\(611\) −35.3157 + 0.552208i −1.42872 + 0.0223400i
\(612\) −2.69725 0.586294i −0.109030 0.0236995i
\(613\) 37.8637i 1.52930i 0.644445 + 0.764651i \(0.277089\pi\)
−0.644445 + 0.764651i \(0.722911\pi\)
\(614\) −11.8882 + 20.5910i −0.479769 + 0.830984i
\(615\) −0.845736 + 7.87247i −0.0341034 + 0.317449i
\(616\) 47.4700 27.4068i 1.91262 1.10425i
\(617\) 40.0447 23.1198i 1.61214 0.930769i 0.623267 0.782009i \(-0.285805\pi\)
0.988873 0.148760i \(-0.0475282\pi\)
\(618\) −14.3117 32.3445i −0.575700 1.30109i
\(619\) −18.3831 10.6135i −0.738880 0.426592i 0.0827822 0.996568i \(-0.473619\pi\)
−0.821662 + 0.569975i \(0.806953\pi\)
\(620\) −0.589691 −0.0236826
\(621\) 41.5079 8.52397i 1.66566 0.342055i
\(622\) 2.06313i 0.0827239i
\(623\) −41.4558 + 71.8035i −1.66089 + 2.87675i
\(624\) −8.02800 17.4028i −0.321377 0.696671i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 26.1786 15.1142i 1.04631 0.604085i
\(627\) 3.20731 29.8551i 0.128088 1.19230i
\(628\) −0.661719 + 1.14613i −0.0264054 + 0.0457356i
\(629\) 22.9151i 0.913686i
\(630\) 17.4275 5.57405i 0.694326 0.222076i
\(631\) 30.3775i 1.20931i −0.796488 0.604654i \(-0.793311\pi\)
0.796488 0.604654i \(-0.206689\pi\)
\(632\) −19.0092 10.9750i −0.756145 0.436561i
\(633\) 29.4701 + 21.5150i 1.17133 + 0.855143i
\(634\) 16.5272 + 28.6259i 0.656378 + 1.13688i
\(635\) 9.51523 5.49362i 0.377601 0.218008i
\(636\) 4.38875 + 3.20406i 0.174025 + 0.127049i
\(637\) 50.7183 + 28.2343i 2.00953 + 1.11868i
\(638\) 26.0244 1.03032
\(639\) −17.2941 15.7163i −0.684145 0.621727i
\(640\) −6.94315 −0.274452
\(641\) 6.72302 11.6446i 0.265543 0.459934i −0.702163 0.712017i \(-0.747782\pi\)
0.967706 + 0.252082i \(0.0811154\pi\)
\(642\) −18.3492 1.97125i −0.724187 0.0777990i
\(643\) 10.3044 5.94926i 0.406366 0.234616i −0.282861 0.959161i \(-0.591283\pi\)
0.689227 + 0.724545i \(0.257950\pi\)
\(644\) 13.2256 7.63580i 0.521161 0.300893i
\(645\) −1.37541 3.10843i −0.0541566 0.122394i
\(646\) 6.90632 11.9621i 0.271726 0.470642i
\(647\) −8.74634 −0.343854 −0.171927 0.985110i \(-0.554999\pi\)
−0.171927 + 0.985110i \(0.554999\pi\)
\(648\) 27.1677 2.60305i 1.06725 0.102257i
\(649\) 3.64423 0.143048
\(650\) −2.22549 + 3.99773i −0.0872909 + 0.156804i
\(651\) −11.5211 + 5.09783i −0.451549 + 0.199800i
\(652\) 4.29260 2.47833i 0.168111 0.0970590i
\(653\) −21.7363 37.6484i −0.850608 1.47330i −0.880661 0.473747i \(-0.842901\pi\)
0.0300533 0.999548i \(-0.490432\pi\)
\(654\) 2.44362 22.7463i 0.0955532 0.889450i
\(655\) 1.25221 + 0.722965i 0.0489280 + 0.0282486i
\(656\) 14.0289i 0.547738i
\(657\) −4.43984 4.03477i −0.173215 0.157411i
\(658\) 59.7463i 2.32916i
\(659\) −10.7255 + 18.5771i −0.417807 + 0.723662i −0.995719 0.0924368i \(-0.970534\pi\)
0.577912 + 0.816099i \(0.303868\pi\)
\(660\) −2.04998 1.49661i −0.0797953 0.0582554i
\(661\) −23.1378 + 13.3586i −0.899957 + 0.519590i −0.877186 0.480150i \(-0.840582\pi\)
−0.0227706 + 0.999741i \(0.507249\pi\)
\(662\) 7.90257 + 13.6876i 0.307142 + 0.531986i
\(663\) 8.50798 12.0448i 0.330422 0.467781i
\(664\) 5.33330 9.23755i 0.206972 0.358487i
\(665\) 22.1542i 0.859104i
\(666\) 11.2547 + 35.1881i 0.436109 + 1.36351i
\(667\) 44.4677 1.72180
\(668\) 2.20991 + 1.27589i 0.0855041 + 0.0493658i
\(669\) −15.6002 1.67592i −0.603138 0.0647948i
\(670\) −2.24358 + 1.29533i −0.0866769 + 0.0500429i
\(671\) −31.0159 + 17.9070i −1.19735 + 0.691293i
\(672\) 16.5230 7.31106i 0.637390 0.282030i
\(673\) −9.02124 + 15.6252i −0.347743 + 0.602309i −0.985848 0.167640i \(-0.946385\pi\)
0.638105 + 0.769949i \(0.279719\pi\)
\(674\) 30.0187i 1.15628i
\(675\) −3.45019 3.88538i −0.132798 0.149549i
\(676\) −5.06285 + 0.158368i −0.194725 + 0.00609107i
\(677\) −0.627397 + 1.08668i −0.0241128 + 0.0417646i −0.877830 0.478972i \(-0.841009\pi\)
0.853717 + 0.520737i \(0.174343\pi\)
\(678\) −4.86126 10.9865i −0.186696 0.421934i
\(679\) −8.32391 14.4174i −0.319442 0.553290i
\(680\) −3.58034 6.20133i −0.137300 0.237810i
\(681\) −9.00533 0.967439i −0.345085 0.0370723i
\(682\) −6.25527 3.61148i −0.239527 0.138291i
\(683\) 1.65852i 0.0634617i 0.999496 + 0.0317308i \(0.0101019\pi\)
−0.999496 + 0.0317308i \(0.989898\pi\)
\(684\) 1.14449 5.26521i 0.0437606 0.201320i
\(685\) −16.6050 −0.634443
\(686\) 27.7491 48.0629i 1.05947 1.83505i
\(687\) −8.20421 + 11.2377i −0.313010 + 0.428745i
\(688\) 3.01134 + 5.21580i 0.114806 + 0.198850i
\(689\) −24.9113 + 14.9066i −0.949044 + 0.567897i
\(690\) 14.4768 + 10.5689i 0.551121 + 0.402352i
\(691\) −36.3926 21.0113i −1.38444 0.799307i −0.391758 0.920068i \(-0.628133\pi\)
−0.992682 + 0.120761i \(0.961466\pi\)
\(692\) 0.105617 0.00401496
\(693\) −52.9897 11.5182i −2.01291 0.437542i
\(694\) 1.77793i 0.0674893i
\(695\) 7.74324 + 4.47056i 0.293718 + 0.169578i
\(696\) 28.4766 + 3.05923i 1.07940 + 0.115960i
\(697\) 9.34831 5.39725i 0.354092 0.204435i
\(698\) −10.0659 17.4347i −0.381001 0.659914i
\(699\) −5.79547 + 2.56436i −0.219205 + 0.0969929i
\(700\) −1.62180 0.936344i −0.0612981 0.0353905i
\(701\) −30.5561 −1.15409 −0.577044 0.816713i \(-0.695794\pi\)
−0.577044 + 0.816713i \(0.695794\pi\)
\(702\) −7.14895 + 22.6744i −0.269820 + 0.855790i
\(703\) 44.7319 1.68710
\(704\) 28.9621 + 16.7213i 1.09155 + 0.630207i
\(705\) 15.5161 6.86551i 0.584370 0.258570i
\(706\) 2.60629 + 4.51422i 0.0980890 + 0.169895i
\(707\) −48.6886 + 28.1104i −1.83112 + 1.05720i
\(708\) 0.650197 + 0.0698503i 0.0244359 + 0.00262514i
\(709\) 16.9160 + 9.76646i 0.635294 + 0.366787i 0.782799 0.622274i \(-0.213791\pi\)
−0.147506 + 0.989061i \(0.547124\pi\)
\(710\) 9.88489i 0.370973i
\(711\) 6.61527 + 20.6829i 0.248092 + 0.775668i
\(712\) −52.3128 −1.96050
\(713\) −10.6883 6.17091i −0.400281 0.231102i
\(714\) −20.1471 14.7087i −0.753988 0.550458i
\(715\) 11.6360 6.96286i 0.435162 0.260396i
\(716\) 4.11650 + 7.12998i 0.153841 + 0.266460i
\(717\) 2.65255 3.63332i 0.0990612 0.135689i
\(718\) 0.654819 1.13418i 0.0244376 0.0423272i
\(719\) −2.54436 −0.0948885 −0.0474442 0.998874i \(-0.515108\pi\)
−0.0474442 + 0.998874i \(0.515108\pi\)
\(720\) 6.81351 + 6.19188i 0.253924 + 0.230758i
\(721\) 77.3403i 2.88030i
\(722\) 2.47011 + 1.42612i 0.0919281 + 0.0530747i
\(723\) −51.9025 5.57586i −1.93028 0.207369i
\(724\) 3.37330 + 5.84272i 0.125368 + 0.217143i
\(725\) −2.72644 4.72233i −0.101257 0.175383i
\(726\) −2.79664 6.32042i −0.103793 0.234573i
\(727\) 8.88520 15.3896i 0.329534 0.570769i −0.652886 0.757456i \(-0.726442\pi\)
0.982419 + 0.186687i \(0.0597751\pi\)
\(728\) 0.821579 + 52.5429i 0.0304497 + 1.94737i
\(729\) −21.6224 16.1700i −0.800831 0.598890i
\(730\) 2.53770i 0.0939245i
\(731\) −2.31706 + 4.01327i −0.0856996 + 0.148436i
\(732\) −5.87703 + 2.60045i −0.217221 + 0.0961153i
\(733\) −13.8235 + 7.98100i −0.510582 + 0.294785i −0.733073 0.680150i \(-0.761915\pi\)
0.222491 + 0.974935i \(0.428581\pi\)
\(734\) 5.59505 3.23030i 0.206517 0.119233i
\(735\) −27.7256 2.97855i −1.02267 0.109865i
\(736\) 15.3287 + 8.85001i 0.565022 + 0.326216i
\(737\) 7.67790 0.282819
\(738\) −11.7043 + 12.8793i −0.430840 + 0.474093i
\(739\) 1.18639i 0.0436421i −0.999762 0.0218210i \(-0.993054\pi\)
0.999762 0.0218210i \(-0.00694640\pi\)
\(740\) 1.89059 3.27459i 0.0694994 0.120376i
\(741\) 23.5123 + 16.6082i 0.863745 + 0.610116i
\(742\) 24.5537 + 42.5283i 0.901396 + 1.56126i
\(743\) 14.7995 8.54451i 0.542942 0.313468i −0.203328 0.979111i \(-0.565176\pi\)
0.746270 + 0.665643i \(0.231843\pi\)
\(744\) −6.42015 4.68710i −0.235374 0.171838i
\(745\) −6.05087 + 10.4804i −0.221687 + 0.383973i
\(746\) 44.9354i 1.64520i
\(747\) −10.0509 + 3.21470i −0.367742 + 0.117620i
\(748\) 3.46034i 0.126522i
\(749\) 34.9478 + 20.1771i 1.27696 + 0.737256i
\(750\) 0.234776 2.18540i 0.00857281 0.0797994i
\(751\) 6.09862 + 10.5631i 0.222542 + 0.385453i 0.955579 0.294735i \(-0.0952313\pi\)
−0.733037 + 0.680188i \(0.761898\pi\)
\(752\) −26.0353 + 15.0315i −0.949408 + 0.548141i
\(753\) 25.8011 11.4164i 0.940243 0.416035i
\(754\) −12.1353 + 21.7991i −0.441942 + 0.793878i
\(755\) 6.24981 0.227454
\(756\) −9.23356 3.07074i −0.335821 0.111682i
\(757\) −23.6145 −0.858283 −0.429141 0.903237i \(-0.641184\pi\)
−0.429141 + 0.903237i \(0.641184\pi\)
\(758\) −14.1495 + 24.5076i −0.513933 + 0.890157i
\(759\) −21.4950 48.5788i −0.780218 1.76330i
\(760\) 12.1054 6.98907i 0.439110 0.253520i
\(761\) 10.8842 6.28401i 0.394553 0.227795i −0.289578 0.957154i \(-0.593515\pi\)
0.684131 + 0.729359i \(0.260182\pi\)
\(762\) 24.0115 + 2.57954i 0.869844 + 0.0934469i
\(763\) −25.0122 + 43.3224i −0.905501 + 1.56837i
\(764\) 0.410371 0.0148467
\(765\) −1.50470 + 6.92240i −0.0544027 + 0.250280i
\(766\) 20.2451 0.731485
\(767\) −1.69932 + 3.05256i −0.0613590 + 0.110222i
\(768\) 12.5530 + 9.16447i 0.452968 + 0.330694i
\(769\) 9.57478 5.52800i 0.345276 0.199345i −0.317327 0.948316i \(-0.602785\pi\)
0.662602 + 0.748971i \(0.269452\pi\)
\(770\) −11.4690 19.8649i −0.413315 0.715882i
\(771\) −23.0135 16.8012i −0.828810 0.605082i
\(772\) −0.850507 0.491040i −0.0306104 0.0176729i
\(773\) 10.7150i 0.385392i 0.981258 + 0.192696i \(0.0617231\pi\)
−0.981258 + 0.192696i \(0.938277\pi\)
\(774\) 1.58694 7.30071i 0.0570413 0.262419i