Properties

Label 273.2.j.b.100.7
Level $273$
Weight $2$
Character 273.100
Analytic conductor $2.180$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.j (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} + \cdots)\)
Defining polynomial: \(x^{16} + 11 x^{14} - 4 x^{13} + 87 x^{12} - 35 x^{11} + 326 x^{10} - 205 x^{9} + 895 x^{8} - 481 x^{7} + 1005 x^{6} - 544 x^{5} + 811 x^{4} - 312 x^{3} + 195 x^{2} + 13 x + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 100.7
Root \(0.857510 + 1.48525i\) of defining polynomial
Character \(\chi\) \(=\) 273.100
Dual form 273.2.j.b.172.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.857510 + 1.48525i) q^{2} -1.00000 q^{3} +(-0.470647 + 0.815185i) q^{4} +(1.22863 - 2.12806i) q^{5} +(-0.857510 - 1.48525i) q^{6} +(2.18175 - 1.49666i) q^{7} +1.81570 q^{8} +1.00000 q^{9} +O(q^{10})\) \(q+(0.857510 + 1.48525i) q^{2} -1.00000 q^{3} +(-0.470647 + 0.815185i) q^{4} +(1.22863 - 2.12806i) q^{5} +(-0.857510 - 1.48525i) q^{6} +(2.18175 - 1.49666i) q^{7} +1.81570 q^{8} +1.00000 q^{9} +4.21426 q^{10} -1.03816 q^{11} +(0.470647 - 0.815185i) q^{12} +(-3.36305 - 1.29996i) q^{13} +(4.09378 + 1.95704i) q^{14} +(-1.22863 + 2.12806i) q^{15} +(2.49828 + 4.32714i) q^{16} +(-1.50975 + 2.61496i) q^{17} +(0.857510 + 1.48525i) q^{18} +3.19341 q^{19} +(1.15651 + 2.00313i) q^{20} +(-2.18175 + 1.49666i) q^{21} +(-0.890235 - 1.54193i) q^{22} +(1.73601 + 3.00685i) q^{23} -1.81570 q^{24} +(-0.519081 - 0.899075i) q^{25} +(-0.953083 - 6.10970i) q^{26} -1.00000 q^{27} +(0.193220 + 2.48292i) q^{28} +(-4.01417 + 6.95275i) q^{29} -4.21426 q^{30} +(-3.48074 - 6.02882i) q^{31} +(-2.46889 + 4.27625i) q^{32} +1.03816 q^{33} -5.17850 q^{34} +(-0.504403 - 6.48172i) q^{35} +(-0.470647 + 0.815185i) q^{36} +(-1.41332 - 2.44794i) q^{37} +(2.73838 + 4.74302i) q^{38} +(3.36305 + 1.29996i) q^{39} +(2.23083 - 3.86391i) q^{40} +(-2.54107 + 4.40125i) q^{41} +(-4.09378 - 1.95704i) q^{42} +(-3.21838 - 5.57439i) q^{43} +(0.488608 - 0.846294i) q^{44} +(1.22863 - 2.12806i) q^{45} +(-2.97729 + 5.15682i) q^{46} +(4.88951 - 8.46887i) q^{47} +(-2.49828 - 4.32714i) q^{48} +(2.52003 - 6.53065i) q^{49} +(0.890235 - 1.54193i) q^{50} +(1.50975 - 2.61496i) q^{51} +(2.64252 - 2.12969i) q^{52} +(5.90947 + 10.2355i) q^{53} +(-0.857510 - 1.48525i) q^{54} +(-1.27552 + 2.20927i) q^{55} +(3.96140 - 2.71748i) q^{56} -3.19341 q^{57} -13.7688 q^{58} +(-4.47070 + 7.74348i) q^{59} +(-1.15651 - 2.00313i) q^{60} -2.60893 q^{61} +(5.96954 - 10.3396i) q^{62} +(2.18175 - 1.49666i) q^{63} +1.52470 q^{64} +(-6.89834 + 5.55958i) q^{65} +(0.890235 + 1.54193i) q^{66} -11.2200 q^{67} +(-1.42112 - 2.46145i) q^{68} +(-1.73601 - 3.00685i) q^{69} +(9.19445 - 6.30731i) q^{70} +(-1.63013 - 2.82347i) q^{71} +1.81570 q^{72} +(7.50717 + 13.0028i) q^{73} +(2.42387 - 4.19827i) q^{74} +(0.519081 + 0.899075i) q^{75} +(-1.50297 + 2.60322i) q^{76} +(-2.26501 + 1.55377i) q^{77} +(0.953083 + 6.10970i) q^{78} +(-0.211818 + 0.366880i) q^{79} +12.2779 q^{80} +1.00000 q^{81} -8.71596 q^{82} -1.34088 q^{83} +(-0.193220 - 2.48292i) q^{84} +(3.70986 + 6.42567i) q^{85} +(5.51958 - 9.56019i) q^{86} +(4.01417 - 6.95275i) q^{87} -1.88499 q^{88} +(-2.65247 - 4.59421i) q^{89} +4.21426 q^{90} +(-9.28292 + 2.19715i) q^{91} -3.26819 q^{92} +(3.48074 + 6.02882i) q^{93} +16.7712 q^{94} +(3.92353 - 6.79576i) q^{95} +(2.46889 - 4.27625i) q^{96} +(2.92406 + 5.06463i) q^{97} +(11.8606 - 1.85722i) q^{98} -1.03816 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + O(q^{10}) \) \( 16q - 16q^{3} - 6q^{4} + q^{7} + 12q^{8} + 16q^{9} + 8q^{10} + 4q^{11} + 6q^{12} + 5q^{13} - 7q^{14} - 6q^{16} - 2q^{17} + 22q^{19} - 20q^{20} - q^{21} + 7q^{22} + 4q^{23} - 12q^{24} + 2q^{25} - 6q^{26} - 16q^{27} - 7q^{28} + 15q^{29} - 8q^{30} + 3q^{31} + 3q^{32} - 4q^{33} - 68q^{34} - 12q^{35} - 6q^{36} + 4q^{37} + 2q^{38} - 5q^{39} - 25q^{40} + 19q^{41} + 7q^{42} + 11q^{43} - 16q^{44} + 2q^{46} + 5q^{47} + 6q^{48} + 13q^{49} - 7q^{50} + 2q^{51} + 36q^{52} + 36q^{53} - 15q^{55} + 39q^{56} - 22q^{57} - 40q^{58} - 17q^{59} + 20q^{60} + 44q^{61} - 6q^{62} + q^{63} - 20q^{64} - 21q^{65} - 7q^{66} - 52q^{67} + 5q^{68} - 4q^{69} + 46q^{70} + 9q^{71} + 12q^{72} - 6q^{73} + 15q^{74} - 2q^{75} - 16q^{76} - 36q^{77} + 6q^{78} + 16q^{79} + 56q^{80} + 16q^{81} + 2q^{82} + 36q^{83} + 7q^{84} - 4q^{85} + 16q^{86} - 15q^{87} - 48q^{88} + 20q^{89} + 8q^{90} - 7q^{91} - 94q^{92} - 3q^{93} + 40q^{94} - 3q^{96} + 7q^{97} - 3q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.857510 + 1.48525i 0.606351 + 1.05023i 0.991836 + 0.127517i \(0.0407008\pi\)
−0.385485 + 0.922714i \(0.625966\pi\)
\(3\) −1.00000 −0.577350
\(4\) −0.470647 + 0.815185i −0.235324 + 0.407592i
\(5\) 1.22863 2.12806i 0.549462 0.951695i −0.448850 0.893607i \(-0.648166\pi\)
0.998311 0.0580883i \(-0.0185005\pi\)
\(6\) −0.857510 1.48525i −0.350077 0.606351i
\(7\) 2.18175 1.49666i 0.824623 0.565683i
\(8\) 1.81570 0.641947
\(9\) 1.00000 0.333333
\(10\) 4.21426 1.33267
\(11\) −1.03816 −0.313018 −0.156509 0.987677i \(-0.550024\pi\)
−0.156509 + 0.987677i \(0.550024\pi\)
\(12\) 0.470647 0.815185i 0.135864 0.235324i
\(13\) −3.36305 1.29996i −0.932742 0.360544i
\(14\) 4.09378 + 1.95704i 1.09411 + 0.523042i
\(15\) −1.22863 + 2.12806i −0.317232 + 0.549462i
\(16\) 2.49828 + 4.32714i 0.624569 + 1.08179i
\(17\) −1.50975 + 2.61496i −0.366168 + 0.634222i −0.988963 0.148163i \(-0.952664\pi\)
0.622795 + 0.782385i \(0.285997\pi\)
\(18\) 0.857510 + 1.48525i 0.202117 + 0.350077i
\(19\) 3.19341 0.732619 0.366310 0.930493i \(-0.380621\pi\)
0.366310 + 0.930493i \(0.380621\pi\)
\(20\) 1.15651 + 2.00313i 0.258603 + 0.447913i
\(21\) −2.18175 + 1.49666i −0.476096 + 0.326597i
\(22\) −0.890235 1.54193i −0.189799 0.328741i
\(23\) 1.73601 + 3.00685i 0.361983 + 0.626972i 0.988287 0.152606i \(-0.0487666\pi\)
−0.626304 + 0.779579i \(0.715433\pi\)
\(24\) −1.81570 −0.370628
\(25\) −0.519081 0.899075i −0.103816 0.179815i
\(26\) −0.953083 6.10970i −0.186915 1.19821i
\(27\) −1.00000 −0.192450
\(28\) 0.193220 + 2.48292i 0.0365151 + 0.469229i
\(29\) −4.01417 + 6.95275i −0.745413 + 1.29109i 0.204589 + 0.978848i \(0.434414\pi\)
−0.950002 + 0.312245i \(0.898919\pi\)
\(30\) −4.21426 −0.769416
\(31\) −3.48074 6.02882i −0.625160 1.08281i −0.988510 0.151156i \(-0.951700\pi\)
0.363350 0.931653i \(-0.381633\pi\)
\(32\) −2.46889 + 4.27625i −0.436443 + 0.755941i
\(33\) 1.03816 0.180721
\(34\) −5.17850 −0.888106
\(35\) −0.504403 6.48172i −0.0852598 1.09561i
\(36\) −0.470647 + 0.815185i −0.0784412 + 0.135864i
\(37\) −1.41332 2.44794i −0.232348 0.402439i 0.726151 0.687536i \(-0.241308\pi\)
−0.958499 + 0.285097i \(0.907974\pi\)
\(38\) 2.73838 + 4.74302i 0.444225 + 0.769419i
\(39\) 3.36305 + 1.29996i 0.538519 + 0.208160i
\(40\) 2.23083 3.86391i 0.352725 0.610938i
\(41\) −2.54107 + 4.40125i −0.396848 + 0.687360i −0.993335 0.115262i \(-0.963229\pi\)
0.596487 + 0.802622i \(0.296563\pi\)
\(42\) −4.09378 1.95704i −0.631684 0.301978i
\(43\) −3.21838 5.57439i −0.490798 0.850087i 0.509146 0.860680i \(-0.329961\pi\)
−0.999944 + 0.0105935i \(0.996628\pi\)
\(44\) 0.488608 0.846294i 0.0736605 0.127584i
\(45\) 1.22863 2.12806i 0.183154 0.317232i
\(46\) −2.97729 + 5.15682i −0.438977 + 0.760331i
\(47\) 4.88951 8.46887i 0.713208 1.23531i −0.250439 0.968132i \(-0.580575\pi\)
0.963647 0.267180i \(-0.0860917\pi\)
\(48\) −2.49828 4.32714i −0.360595 0.624569i
\(49\) 2.52003 6.53065i 0.360005 0.932950i
\(50\) 0.890235 1.54193i 0.125898 0.218062i
\(51\) 1.50975 2.61496i 0.211407 0.366168i
\(52\) 2.64252 2.12969i 0.366451 0.295334i
\(53\) 5.90947 + 10.2355i 0.811728 + 1.40595i 0.911654 + 0.410959i \(0.134806\pi\)
−0.0999257 + 0.994995i \(0.531861\pi\)
\(54\) −0.857510 1.48525i −0.116692 0.202117i
\(55\) −1.27552 + 2.20927i −0.171991 + 0.297898i
\(56\) 3.96140 2.71748i 0.529364 0.363139i
\(57\) −3.19341 −0.422978
\(58\) −13.7688 −1.80793
\(59\) −4.47070 + 7.74348i −0.582036 + 1.00812i 0.413202 + 0.910639i \(0.364410\pi\)
−0.995238 + 0.0974764i \(0.968923\pi\)
\(60\) −1.15651 2.00313i −0.149304 0.258603i
\(61\) −2.60893 −0.334039 −0.167019 0.985954i \(-0.553414\pi\)
−0.167019 + 0.985954i \(0.553414\pi\)
\(62\) 5.96954 10.3396i 0.758133 1.31312i
\(63\) 2.18175 1.49666i 0.274874 0.188561i
\(64\) 1.52470 0.190588
\(65\) −6.89834 + 5.55958i −0.855634 + 0.689581i
\(66\) 0.890235 + 1.54193i 0.109580 + 0.189799i
\(67\) −11.2200 −1.37074 −0.685371 0.728194i \(-0.740360\pi\)
−0.685371 + 0.728194i \(0.740360\pi\)
\(68\) −1.42112 2.46145i −0.172336 0.298495i
\(69\) −1.73601 3.00685i −0.208991 0.361983i
\(70\) 9.19445 6.30731i 1.09895 0.753867i
\(71\) −1.63013 2.82347i −0.193461 0.335085i 0.752934 0.658096i \(-0.228638\pi\)
−0.946395 + 0.323012i \(0.895305\pi\)
\(72\) 1.81570 0.213982
\(73\) 7.50717 + 13.0028i 0.878648 + 1.52186i 0.852825 + 0.522196i \(0.174887\pi\)
0.0258228 + 0.999667i \(0.491779\pi\)
\(74\) 2.42387 4.19827i 0.281769 0.488038i
\(75\) 0.519081 + 0.899075i 0.0599383 + 0.103816i
\(76\) −1.50297 + 2.60322i −0.172403 + 0.298610i
\(77\) −2.26501 + 1.55377i −0.258121 + 0.177069i
\(78\) 0.953083 + 6.10970i 0.107915 + 0.691788i
\(79\) −0.211818 + 0.366880i −0.0238314 + 0.0412773i −0.877695 0.479219i \(-0.840920\pi\)
0.853864 + 0.520497i \(0.174253\pi\)
\(80\) 12.2779 1.37271
\(81\) 1.00000 0.111111
\(82\) −8.71596 −0.962516
\(83\) −1.34088 −0.147181 −0.0735904 0.997289i \(-0.523446\pi\)
−0.0735904 + 0.997289i \(0.523446\pi\)
\(84\) −0.193220 2.48292i −0.0210820 0.270909i
\(85\) 3.70986 + 6.42567i 0.402391 + 0.696961i
\(86\) 5.51958 9.56019i 0.595192 1.03090i
\(87\) 4.01417 6.95275i 0.430364 0.745413i
\(88\) −1.88499 −0.200941
\(89\) −2.65247 4.59421i −0.281161 0.486985i 0.690510 0.723323i \(-0.257386\pi\)
−0.971671 + 0.236338i \(0.924053\pi\)
\(90\) 4.21426 0.444222
\(91\) −9.28292 + 2.19715i −0.973114 + 0.230324i
\(92\) −3.26819 −0.340732
\(93\) 3.48074 + 6.02882i 0.360936 + 0.625160i
\(94\) 16.7712 1.72982
\(95\) 3.92353 6.79576i 0.402546 0.697230i
\(96\) 2.46889 4.27625i 0.251980 0.436443i
\(97\) 2.92406 + 5.06463i 0.296894 + 0.514235i 0.975424 0.220338i \(-0.0707159\pi\)
−0.678530 + 0.734573i \(0.737383\pi\)
\(98\) 11.8606 1.85722i 1.19810 0.187607i
\(99\) −1.03816 −0.104339
\(100\) 0.977216 0.0977216
\(101\) −18.5287 −1.84368 −0.921840 0.387572i \(-0.873314\pi\)
−0.921840 + 0.387572i \(0.873314\pi\)
\(102\) 5.17850 0.512748
\(103\) −1.01571 + 1.75926i −0.100081 + 0.173345i −0.911718 0.410817i \(-0.865243\pi\)
0.811637 + 0.584162i \(0.198577\pi\)
\(104\) −6.10629 2.36034i −0.598771 0.231450i
\(105\) 0.504403 + 6.48172i 0.0492247 + 0.632551i
\(106\) −10.1349 + 17.5541i −0.984385 + 1.70500i
\(107\) 1.21833 + 2.11021i 0.117781 + 0.204002i 0.918888 0.394519i \(-0.129089\pi\)
−0.801107 + 0.598521i \(0.795755\pi\)
\(108\) 0.470647 0.815185i 0.0452881 0.0784412i
\(109\) −7.85642 13.6077i −0.752508 1.30338i −0.946604 0.322400i \(-0.895510\pi\)
0.194095 0.980983i \(-0.437823\pi\)
\(110\) −4.37509 −0.417148
\(111\) 1.41332 + 2.44794i 0.134146 + 0.232348i
\(112\) 11.9269 + 5.70166i 1.12698 + 0.538756i
\(113\) 2.52708 + 4.37702i 0.237727 + 0.411756i 0.960062 0.279788i \(-0.0902642\pi\)
−0.722335 + 0.691544i \(0.756931\pi\)
\(114\) −2.73838 4.74302i −0.256473 0.444225i
\(115\) 8.53167 0.795582
\(116\) −3.77852 6.54458i −0.350826 0.607649i
\(117\) −3.36305 1.29996i −0.310914 0.120181i
\(118\) −15.3347 −1.41167
\(119\) 0.619813 + 7.96477i 0.0568182 + 0.730129i
\(120\) −2.23083 + 3.86391i −0.203646 + 0.352725i
\(121\) −9.92222 −0.902020
\(122\) −2.23718 3.87491i −0.202545 0.350818i
\(123\) 2.54107 4.40125i 0.229120 0.396848i
\(124\) 6.55281 0.588459
\(125\) 9.73529 0.870751
\(126\) 4.09378 + 1.95704i 0.364703 + 0.174347i
\(127\) 1.84246 3.19124i 0.163492 0.283177i −0.772627 0.634861i \(-0.781058\pi\)
0.936119 + 0.351684i \(0.114391\pi\)
\(128\) 6.24523 + 10.8171i 0.552006 + 0.956102i
\(129\) 3.21838 + 5.57439i 0.283362 + 0.490798i
\(130\) −14.1728 5.47837i −1.24303 0.480485i
\(131\) −0.924144 + 1.60066i −0.0807428 + 0.139851i −0.903569 0.428442i \(-0.859063\pi\)
0.822826 + 0.568293i \(0.192396\pi\)
\(132\) −0.488608 + 0.846294i −0.0425279 + 0.0736605i
\(133\) 6.96722 4.77944i 0.604134 0.414430i
\(134\) −9.62127 16.6645i −0.831151 1.43960i
\(135\) −1.22863 + 2.12806i −0.105744 + 0.183154i
\(136\) −2.74126 + 4.74799i −0.235061 + 0.407137i
\(137\) −1.40759 + 2.43802i −0.120259 + 0.208294i −0.919870 0.392224i \(-0.871706\pi\)
0.799611 + 0.600518i \(0.205039\pi\)
\(138\) 2.97729 5.15682i 0.253444 0.438977i
\(139\) 1.87848 + 3.25363i 0.159331 + 0.275969i 0.934628 0.355628i \(-0.115733\pi\)
−0.775297 + 0.631597i \(0.782400\pi\)
\(140\) 5.52120 + 2.63942i 0.466626 + 0.223072i
\(141\) −4.88951 + 8.46887i −0.411771 + 0.713208i
\(142\) 2.79571 4.84232i 0.234611 0.406358i
\(143\) 3.49139 + 1.34957i 0.291965 + 0.112857i
\(144\) 2.49828 + 4.32714i 0.208190 + 0.360595i
\(145\) 9.86389 + 17.0848i 0.819151 + 1.41881i
\(146\) −12.8750 + 22.3001i −1.06554 + 1.84557i
\(147\) −2.52003 + 6.53065i −0.207849 + 0.538639i
\(148\) 2.66070 0.218708
\(149\) 6.73683 0.551902 0.275951 0.961172i \(-0.411007\pi\)
0.275951 + 0.961172i \(0.411007\pi\)
\(150\) −0.890235 + 1.54193i −0.0726873 + 0.125898i
\(151\) −2.70020 4.67689i −0.219739 0.380600i 0.734989 0.678079i \(-0.237187\pi\)
−0.954728 + 0.297479i \(0.903854\pi\)
\(152\) 5.79828 0.470303
\(153\) −1.50975 + 2.61496i −0.122056 + 0.211407i
\(154\) −4.25001 2.03173i −0.342475 0.163721i
\(155\) −17.1062 −1.37401
\(156\) −2.64252 + 2.12969i −0.211571 + 0.170511i
\(157\) −5.82721 10.0930i −0.465062 0.805512i 0.534142 0.845395i \(-0.320635\pi\)
−0.999204 + 0.0398832i \(0.987301\pi\)
\(158\) −0.726546 −0.0578009
\(159\) −5.90947 10.2355i −0.468651 0.811728i
\(160\) 6.06673 + 10.5079i 0.479617 + 0.830722i
\(161\) 8.28776 + 3.96198i 0.653167 + 0.312248i
\(162\) 0.857510 + 1.48525i 0.0673724 + 0.116692i
\(163\) 24.2516 1.89953 0.949766 0.312960i \(-0.101321\pi\)
0.949766 + 0.312960i \(0.101321\pi\)
\(164\) −2.39189 4.14288i −0.186775 0.323504i
\(165\) 1.27552 2.20927i 0.0992992 0.171991i
\(166\) −1.14982 1.99154i −0.0892433 0.154574i
\(167\) 8.23216 14.2585i 0.637024 1.10336i −0.349059 0.937101i \(-0.613499\pi\)
0.986083 0.166257i \(-0.0531680\pi\)
\(168\) −3.96140 + 2.71748i −0.305629 + 0.209658i
\(169\) 9.62021 + 8.74366i 0.740016 + 0.672589i
\(170\) −6.36248 + 11.0201i −0.487980 + 0.845207i
\(171\) 3.19341 0.244206
\(172\) 6.05888 0.461985
\(173\) −20.0405 −1.52365 −0.761827 0.647781i \(-0.775697\pi\)
−0.761827 + 0.647781i \(0.775697\pi\)
\(174\) 13.7688 1.04381
\(175\) −2.47811 1.18467i −0.187328 0.0895524i
\(176\) −2.59362 4.49228i −0.195501 0.338618i
\(177\) 4.47070 7.74348i 0.336039 0.582036i
\(178\) 4.54903 7.87915i 0.340964 0.590568i
\(179\) −10.0951 −0.754546 −0.377273 0.926102i \(-0.623138\pi\)
−0.377273 + 0.926102i \(0.623138\pi\)
\(180\) 1.15651 + 2.00313i 0.0862009 + 0.149304i
\(181\) 19.8959 1.47885 0.739426 0.673238i \(-0.235097\pi\)
0.739426 + 0.673238i \(0.235097\pi\)
\(182\) −11.2235 11.9034i −0.831942 0.882337i
\(183\) 2.60893 0.192857
\(184\) 3.15207 + 5.45955i 0.232374 + 0.402483i
\(185\) −6.94580 −0.510666
\(186\) −5.96954 + 10.3396i −0.437708 + 0.758133i
\(187\) 1.56737 2.71476i 0.114617 0.198523i
\(188\) 4.60246 + 7.97170i 0.335669 + 0.581396i
\(189\) −2.18175 + 1.49666i −0.158699 + 0.108866i
\(190\) 13.4579 0.976337
\(191\) 15.2774 1.10543 0.552715 0.833370i \(-0.313592\pi\)
0.552715 + 0.833370i \(0.313592\pi\)
\(192\) −1.52470 −0.110036
\(193\) 25.6681 1.84763 0.923814 0.382843i \(-0.125055\pi\)
0.923814 + 0.382843i \(0.125055\pi\)
\(194\) −5.01483 + 8.68594i −0.360044 + 0.623614i
\(195\) 6.89834 5.55958i 0.494001 0.398130i
\(196\) 4.13764 + 5.12793i 0.295546 + 0.366281i
\(197\) 7.84255 13.5837i 0.558759 0.967798i −0.438842 0.898564i \(-0.644611\pi\)
0.997600 0.0692340i \(-0.0220555\pi\)
\(198\) −0.890235 1.54193i −0.0632662 0.109580i
\(199\) 2.87545 4.98042i 0.203835 0.353052i −0.745926 0.666029i \(-0.767993\pi\)
0.949761 + 0.312976i \(0.101326\pi\)
\(200\) −0.942496 1.63245i −0.0666445 0.115432i
\(201\) 11.2200 0.791398
\(202\) −15.8886 27.5198i −1.11792 1.93629i
\(203\) 1.64798 + 21.1770i 0.115665 + 1.48633i
\(204\) 1.42112 + 2.46145i 0.0994983 + 0.172336i
\(205\) 6.24408 + 10.8151i 0.436105 + 0.755356i
\(206\) −3.48392 −0.242737
\(207\) 1.73601 + 3.00685i 0.120661 + 0.208991i
\(208\) −2.77672 17.8001i −0.192531 1.23421i
\(209\) −3.31528 −0.229323
\(210\) −9.19445 + 6.30731i −0.634478 + 0.435246i
\(211\) 10.3771 17.9736i 0.714387 1.23735i −0.248809 0.968553i \(-0.580039\pi\)
0.963196 0.268802i \(-0.0866276\pi\)
\(212\) −11.1251 −0.764075
\(213\) 1.63013 + 2.82347i 0.111695 + 0.193461i
\(214\) −2.08946 + 3.61906i −0.142833 + 0.247394i
\(215\) −15.8168 −1.07870
\(216\) −1.81570 −0.123543
\(217\) −16.6172 7.94388i −1.12805 0.539266i
\(218\) 13.4739 23.3375i 0.912569 1.58062i
\(219\) −7.50717 13.0028i −0.507288 0.878648i
\(220\) −1.20064 2.07957i −0.0809472 0.140205i
\(221\) 8.47671 6.83164i 0.570205 0.459546i
\(222\) −2.42387 + 4.19827i −0.162679 + 0.281769i
\(223\) 5.68668 9.84963i 0.380809 0.659580i −0.610369 0.792117i \(-0.708979\pi\)
0.991178 + 0.132537i \(0.0423123\pi\)
\(224\) 1.01358 + 13.0248i 0.0677227 + 0.870255i
\(225\) −0.519081 0.899075i −0.0346054 0.0599383i
\(226\) −4.33399 + 7.50668i −0.288292 + 0.499337i
\(227\) 2.71464 4.70189i 0.180177 0.312075i −0.761764 0.647855i \(-0.775666\pi\)
0.941941 + 0.335779i \(0.109000\pi\)
\(228\) 1.50297 2.60322i 0.0995367 0.172403i
\(229\) −8.67170 + 15.0198i −0.573042 + 0.992538i 0.423209 + 0.906032i \(0.360903\pi\)
−0.996251 + 0.0865059i \(0.972430\pi\)
\(230\) 7.31599 + 12.6717i 0.482402 + 0.835545i
\(231\) 2.26501 1.55377i 0.149026 0.102231i
\(232\) −7.28853 + 12.6241i −0.478516 + 0.828813i
\(233\) 10.0164 17.3490i 0.656199 1.13657i −0.325393 0.945579i \(-0.605496\pi\)
0.981592 0.190991i \(-0.0611702\pi\)
\(234\) −0.953083 6.10970i −0.0623050 0.399404i
\(235\) −12.0148 20.8103i −0.783761 1.35751i
\(236\) −4.20825 7.28890i −0.273934 0.474467i
\(237\) 0.211818 0.366880i 0.0137591 0.0238314i
\(238\) −11.2982 + 7.75045i −0.732352 + 0.502387i
\(239\) −8.30497 −0.537204 −0.268602 0.963251i \(-0.586562\pi\)
−0.268602 + 0.963251i \(0.586562\pi\)
\(240\) −12.2779 −0.792533
\(241\) −10.2953 + 17.8320i −0.663178 + 1.14866i 0.316597 + 0.948560i \(0.397460\pi\)
−0.979776 + 0.200099i \(0.935874\pi\)
\(242\) −8.50840 14.7370i −0.546941 0.947329i
\(243\) −1.00000 −0.0641500
\(244\) 1.22788 2.12676i 0.0786073 0.136152i
\(245\) −10.8014 13.3866i −0.690076 0.855235i
\(246\) 8.71596 0.555709
\(247\) −10.7396 4.15131i −0.683345 0.264141i
\(248\) −6.31999 10.9465i −0.401320 0.695106i
\(249\) 1.34088 0.0849749
\(250\) 8.34811 + 14.4594i 0.527981 + 0.914490i
\(251\) 5.22288 + 9.04629i 0.329665 + 0.570997i 0.982445 0.186550i \(-0.0597308\pi\)
−0.652780 + 0.757547i \(0.726397\pi\)
\(252\) 0.193220 + 2.48292i 0.0121717 + 0.156410i
\(253\) −1.80226 3.12160i −0.113307 0.196253i
\(254\) 6.31972 0.396534
\(255\) −3.70986 6.42567i −0.232320 0.402391i
\(256\) −9.18600 + 15.9106i −0.574125 + 0.994414i
\(257\) −3.61689 6.26463i −0.225615 0.390777i 0.730889 0.682497i \(-0.239106\pi\)
−0.956504 + 0.291720i \(0.905773\pi\)
\(258\) −5.51958 + 9.56019i −0.343634 + 0.595192i
\(259\) −6.74723 3.22553i −0.419252 0.200425i
\(260\) −1.28540 8.24003i −0.0797173 0.511025i
\(261\) −4.01417 + 6.95275i −0.248471 + 0.430364i
\(262\) −3.16985 −0.195834
\(263\) −1.70621 −0.105209 −0.0526047 0.998615i \(-0.516752\pi\)
−0.0526047 + 0.998615i \(0.516752\pi\)
\(264\) 1.88499 0.116013
\(265\) 29.0423 1.78405
\(266\) 13.0731 + 6.24964i 0.801565 + 0.383190i
\(267\) 2.65247 + 4.59421i 0.162328 + 0.281161i
\(268\) 5.28067 9.14638i 0.322568 0.558704i
\(269\) −10.9941 + 19.0424i −0.670324 + 1.16104i 0.307488 + 0.951552i \(0.400512\pi\)
−0.977812 + 0.209483i \(0.932822\pi\)
\(270\) −4.21426 −0.256472
\(271\) 11.8251 + 20.4817i 0.718324 + 1.24417i 0.961664 + 0.274232i \(0.0884236\pi\)
−0.243340 + 0.969941i \(0.578243\pi\)
\(272\) −15.0871 −0.914790
\(273\) 9.28292 2.19715i 0.561828 0.132978i
\(274\) −4.82810 −0.291676
\(275\) 0.538890 + 0.933385i 0.0324963 + 0.0562853i
\(276\) 3.26819 0.196722
\(277\) 14.9643 25.9190i 0.899119 1.55732i 0.0704974 0.997512i \(-0.477541\pi\)
0.828622 0.559809i \(-0.189125\pi\)
\(278\) −3.22164 + 5.58004i −0.193221 + 0.334669i
\(279\) −3.48074 6.02882i −0.208387 0.360936i
\(280\) −0.915846 11.7689i −0.0547323 0.703325i
\(281\) −27.8636 −1.66220 −0.831102 0.556120i \(-0.812289\pi\)
−0.831102 + 0.556120i \(0.812289\pi\)
\(282\) −16.7712 −0.998711
\(283\) −19.4075 −1.15366 −0.576829 0.816865i \(-0.695710\pi\)
−0.576829 + 0.816865i \(0.695710\pi\)
\(284\) 3.06887 0.182104
\(285\) −3.92353 + 6.79576i −0.232410 + 0.402546i
\(286\) 0.989454 + 6.34286i 0.0585077 + 0.375061i
\(287\) 1.04321 + 13.4055i 0.0615787 + 0.791303i
\(288\) −2.46889 + 4.27625i −0.145481 + 0.251980i
\(289\) 3.94131 + 6.82655i 0.231842 + 0.401562i
\(290\) −16.9168 + 29.3007i −0.993387 + 1.72060i
\(291\) −2.92406 5.06463i −0.171412 0.296894i
\(292\) −14.1329 −0.827067
\(293\) −2.20711 3.82282i −0.128940 0.223331i 0.794326 0.607492i \(-0.207824\pi\)
−0.923266 + 0.384160i \(0.874491\pi\)
\(294\) −11.8606 + 1.85722i −0.691725 + 0.108315i
\(295\) 10.9857 + 19.0278i 0.639613 + 1.10784i
\(296\) −2.56616 4.44473i −0.149155 0.258344i
\(297\) 1.03816 0.0602403
\(298\) 5.77690 + 10.0059i 0.334647 + 0.579625i
\(299\) −1.92949 12.3689i −0.111585 0.715314i
\(300\) −0.977216 −0.0564196
\(301\) −15.3646 7.34510i −0.885603 0.423364i
\(302\) 4.63090 8.02096i 0.266479 0.461554i
\(303\) 18.5287 1.06445
\(304\) 7.97803 + 13.8184i 0.457571 + 0.792537i
\(305\) −3.20542 + 5.55194i −0.183542 + 0.317903i
\(306\) −5.17850 −0.296035
\(307\) −9.06995 −0.517649 −0.258825 0.965924i \(-0.583335\pi\)
−0.258825 + 0.965924i \(0.583335\pi\)
\(308\) −0.200593 2.57768i −0.0114299 0.146877i
\(309\) 1.01571 1.75926i 0.0577817 0.100081i
\(310\) −14.6688 25.4070i −0.833130 1.44302i
\(311\) −11.8691 20.5579i −0.673037 1.16573i −0.977039 0.213062i \(-0.931656\pi\)
0.304002 0.952671i \(-0.401677\pi\)
\(312\) 6.10629 + 2.36034i 0.345701 + 0.133628i
\(313\) −6.48059 + 11.2247i −0.366304 + 0.634458i −0.988985 0.148019i \(-0.952710\pi\)
0.622680 + 0.782476i \(0.286044\pi\)
\(314\) 9.99379 17.3098i 0.563982 0.976846i
\(315\) −0.504403 6.48172i −0.0284199 0.365204i
\(316\) −0.199384 0.345342i −0.0112162 0.0194270i
\(317\) 15.7012 27.1953i 0.881867 1.52744i 0.0326048 0.999468i \(-0.489620\pi\)
0.849263 0.527971i \(-0.177047\pi\)
\(318\) 10.1349 17.5541i 0.568335 0.984385i
\(319\) 4.16736 7.21808i 0.233327 0.404135i
\(320\) 1.87330 3.24465i 0.104721 0.181381i
\(321\) −1.21833 2.11021i −0.0680007 0.117781i
\(322\) 1.22230 + 15.7068i 0.0681159 + 0.875308i
\(323\) −4.82126 + 8.35066i −0.268262 + 0.464643i
\(324\) −0.470647 + 0.815185i −0.0261471 + 0.0452881i
\(325\) 0.576934 + 3.69842i 0.0320026 + 0.205151i
\(326\) 20.7960 + 36.0197i 1.15178 + 1.99495i
\(327\) 7.85642 + 13.6077i 0.434461 + 0.752508i
\(328\) −4.61382 + 7.99136i −0.254755 + 0.441249i
\(329\) −2.00734 25.7948i −0.110668 1.42212i
\(330\) 4.37509 0.240841
\(331\) −11.5233 −0.633378 −0.316689 0.948529i \(-0.602571\pi\)
−0.316689 + 0.948529i \(0.602571\pi\)
\(332\) 0.631082 1.09307i 0.0346351 0.0599898i
\(333\) −1.41332 2.44794i −0.0774494 0.134146i
\(334\) 28.2366 1.54504
\(335\) −13.7853 + 23.8768i −0.753170 + 1.30453i
\(336\) −11.9269 5.70166i −0.650663 0.311051i
\(337\) −17.7823 −0.968665 −0.484332 0.874884i \(-0.660937\pi\)
−0.484332 + 0.874884i \(0.660937\pi\)
\(338\) −4.73710 + 21.7862i −0.257664 + 1.18501i
\(339\) −2.52708 4.37702i −0.137252 0.237727i
\(340\) −6.98414 −0.378768
\(341\) 3.61357 + 6.25890i 0.195686 + 0.338938i
\(342\) 2.73838 + 4.74302i 0.148075 + 0.256473i
\(343\) −4.27608 18.0199i −0.230886 0.972981i
\(344\) −5.84361 10.1214i −0.315066 0.545711i
\(345\) −8.53167 −0.459330
\(346\) −17.1850 29.7652i −0.923869 1.60019i
\(347\) 6.16001 10.6694i 0.330687 0.572766i −0.651960 0.758253i \(-0.726053\pi\)
0.982647 + 0.185487i \(0.0593864\pi\)
\(348\) 3.77852 + 6.54458i 0.202550 + 0.350826i
\(349\) −4.29722 + 7.44301i −0.230025 + 0.398415i −0.957815 0.287385i \(-0.907214\pi\)
0.727790 + 0.685800i \(0.240548\pi\)
\(350\) −0.365477 4.69648i −0.0195356 0.251037i
\(351\) 3.36305 + 1.29996i 0.179506 + 0.0693867i
\(352\) 2.56311 4.43944i 0.136614 0.236623i
\(353\) 29.1648 1.55229 0.776144 0.630556i \(-0.217173\pi\)
0.776144 + 0.630556i \(0.217173\pi\)
\(354\) 15.3347 0.815030
\(355\) −8.01135 −0.425198
\(356\) 4.99350 0.264655
\(357\) −0.619813 7.96477i −0.0328040 0.421540i
\(358\) −8.65668 14.9938i −0.457520 0.792448i
\(359\) −1.79924 + 3.11637i −0.0949602 + 0.164476i −0.909592 0.415503i \(-0.863606\pi\)
0.814632 + 0.579979i \(0.196939\pi\)
\(360\) 2.23083 3.86391i 0.117575 0.203646i
\(361\) −8.80212 −0.463269
\(362\) 17.0609 + 29.5504i 0.896703 + 1.55314i
\(363\) 9.92222 0.520781
\(364\) 2.57789 8.60138i 0.135118 0.450835i
\(365\) 36.8943 1.93113
\(366\) 2.23718 + 3.87491i 0.116939 + 0.202545i
\(367\) 31.0655 1.62161 0.810803 0.585319i \(-0.199031\pi\)
0.810803 + 0.585319i \(0.199031\pi\)
\(368\) −8.67406 + 15.0239i −0.452167 + 0.783175i
\(369\) −2.54107 + 4.40125i −0.132283 + 0.229120i
\(370\) −5.95610 10.3163i −0.309643 0.536317i
\(371\) 28.2120 + 13.4868i 1.46469 + 0.700201i
\(372\) −6.55281 −0.339747
\(373\) −23.4625 −1.21484 −0.607421 0.794380i \(-0.707796\pi\)
−0.607421 + 0.794380i \(0.707796\pi\)
\(374\) 5.37613 0.277993
\(375\) −9.73529 −0.502728
\(376\) 8.87788 15.3769i 0.457842 0.793005i
\(377\) 22.5381 18.1642i 1.16077 0.935502i
\(378\) −4.09378 1.95704i −0.210561 0.100659i
\(379\) 4.67032 8.08923i 0.239898 0.415516i −0.720787 0.693157i \(-0.756219\pi\)
0.960685 + 0.277641i \(0.0895526\pi\)
\(380\) 3.69320 + 6.39681i 0.189457 + 0.328150i
\(381\) −1.84246 + 3.19124i −0.0943922 + 0.163492i
\(382\) 13.1005 + 22.6907i 0.670279 + 1.16096i
\(383\) 11.6813 0.596889 0.298444 0.954427i \(-0.403532\pi\)
0.298444 + 0.954427i \(0.403532\pi\)
\(384\) −6.24523 10.8171i −0.318701 0.552006i
\(385\) 0.523653 + 6.72908i 0.0266878 + 0.342946i
\(386\) 22.0106 + 38.1235i 1.12031 + 1.94044i
\(387\) −3.21838 5.57439i −0.163599 0.283362i
\(388\) −5.50481 −0.279464
\(389\) 9.34341 + 16.1833i 0.473730 + 0.820524i 0.999548 0.0300730i \(-0.00957396\pi\)
−0.525818 + 0.850597i \(0.676241\pi\)
\(390\) 14.1728 + 5.47837i 0.717666 + 0.277408i
\(391\) −10.4838 −0.530186
\(392\) 4.57563 11.8577i 0.231104 0.598905i
\(393\) 0.924144 1.60066i 0.0466169 0.0807428i
\(394\) 26.9003 1.35522
\(395\) 0.520495 + 0.901523i 0.0261889 + 0.0453605i
\(396\) 0.488608 0.846294i 0.0245535 0.0425279i
\(397\) 9.44412 0.473987 0.236993 0.971511i \(-0.423838\pi\)
0.236993 + 0.971511i \(0.423838\pi\)
\(398\) 9.86289 0.494382
\(399\) −6.96722 + 4.77944i −0.348797 + 0.239272i
\(400\) 2.59362 4.49228i 0.129681 0.224614i
\(401\) −5.18622 8.98279i −0.258987 0.448579i 0.706984 0.707230i \(-0.250055\pi\)
−0.965971 + 0.258651i \(0.916722\pi\)
\(402\) 9.62127 + 16.6645i 0.479865 + 0.831151i
\(403\) 3.86868 + 24.8001i 0.192713 + 1.23538i
\(404\) 8.72050 15.1044i 0.433861 0.751470i
\(405\) 1.22863 2.12806i 0.0610513 0.105744i
\(406\) −30.0400 + 20.6071i −1.49086 + 1.02271i
\(407\) 1.46725 + 2.54136i 0.0727291 + 0.125970i
\(408\) 2.74126 4.74799i 0.135712 0.235061i
\(409\) −11.4435 + 19.8207i −0.565844 + 0.980071i 0.431126 + 0.902292i \(0.358116\pi\)
−0.996971 + 0.0777796i \(0.975217\pi\)
\(410\) −10.7087 + 18.5480i −0.528866 + 0.916023i
\(411\) 1.40759 2.43802i 0.0694314 0.120259i
\(412\) −0.956082 1.65598i −0.0471028 0.0815844i
\(413\) 1.83540 + 23.5854i 0.0903143 + 1.16056i
\(414\) −2.97729 + 5.15682i −0.146326 + 0.253444i
\(415\) −1.64745 + 2.85347i −0.0808702 + 0.140071i
\(416\) 13.8620 11.1718i 0.679639 0.547742i
\(417\) −1.87848 3.25363i −0.0919898 0.159331i
\(418\) −2.84289 4.92402i −0.139050 0.240842i
\(419\) 4.33086 7.50127i 0.211576 0.366461i −0.740632 0.671911i \(-0.765474\pi\)
0.952208 + 0.305450i \(0.0988070\pi\)
\(420\) −5.52120 2.63942i −0.269407 0.128791i
\(421\) −1.15030 −0.0560620 −0.0280310 0.999607i \(-0.508924\pi\)
−0.0280310 + 0.999607i \(0.508924\pi\)
\(422\) 35.5938 1.73268
\(423\) 4.88951 8.46887i 0.237736 0.411771i
\(424\) 10.7298 + 18.5846i 0.521087 + 0.902549i
\(425\) 3.13473 0.152057
\(426\) −2.79571 + 4.84232i −0.135453 + 0.234611i
\(427\) −5.69202 + 3.90467i −0.275456 + 0.188960i
\(428\) −2.29362 −0.110866
\(429\) −3.49139 1.34957i −0.168566 0.0651578i
\(430\) −13.5631 23.4919i −0.654070 1.13288i
\(431\) 8.76048 0.421977 0.210989 0.977489i \(-0.432332\pi\)
0.210989 + 0.977489i \(0.432332\pi\)
\(432\) −2.49828 4.32714i −0.120198 0.208190i
\(433\) 0.463102 + 0.802117i 0.0222553 + 0.0385473i 0.876939 0.480603i \(-0.159582\pi\)
−0.854683 + 0.519150i \(0.826249\pi\)
\(434\) −2.45074 31.4926i −0.117639 1.51170i
\(435\) −9.86389 17.0848i −0.472937 0.819151i
\(436\) 14.7904 0.708332
\(437\) 5.54379 + 9.60213i 0.265195 + 0.459332i
\(438\) 12.8750 22.3001i 0.615189 1.06554i
\(439\) −6.20418 10.7460i −0.296109 0.512877i 0.679133 0.734015i \(-0.262356\pi\)
−0.975242 + 0.221139i \(0.929023\pi\)
\(440\) −2.31597 + 4.01137i −0.110409 + 0.191235i
\(441\) 2.52003 6.53065i 0.120002 0.310983i
\(442\) 17.4156 + 6.73185i 0.828374 + 0.320201i
\(443\) −1.61468 + 2.79670i −0.0767156 + 0.132875i −0.901831 0.432089i \(-0.857777\pi\)
0.825115 + 0.564964i \(0.191110\pi\)
\(444\) −2.66070 −0.126271
\(445\) −13.0356 −0.617948
\(446\) 19.5056 0.923615
\(447\) −6.73683 −0.318641
\(448\) 3.32651 2.28195i 0.157163 0.107812i
\(449\) −9.94344 17.2225i −0.469260 0.812782i 0.530123 0.847921i \(-0.322146\pi\)
−0.999382 + 0.0351392i \(0.988813\pi\)
\(450\) 0.890235 1.54193i 0.0419661 0.0726873i
\(451\) 2.63804 4.56922i 0.124220 0.215156i
\(452\) −4.75744 −0.223771
\(453\) 2.70020 + 4.67689i 0.126867 + 0.219739i
\(454\) 9.31132 0.437002
\(455\) −6.72964 + 22.4541i −0.315491 + 1.05266i
\(456\) −5.79828 −0.271530
\(457\) 0.0394872 + 0.0683939i 0.00184713 + 0.00319933i 0.866947 0.498399i \(-0.166079\pi\)
−0.865100 + 0.501599i \(0.832745\pi\)
\(458\) −29.7443 −1.38986
\(459\) 1.50975 2.61496i 0.0704691 0.122056i
\(460\) −4.01541 + 6.95489i −0.187219 + 0.324273i
\(461\) 2.45979 + 4.26049i 0.114564 + 0.198431i 0.917605 0.397493i \(-0.130120\pi\)
−0.803041 + 0.595923i \(0.796786\pi\)
\(462\) 4.25001 + 2.03173i 0.197728 + 0.0945245i
\(463\) 1.24837 0.0580166 0.0290083 0.999579i \(-0.490765\pi\)
0.0290083 + 0.999579i \(0.490765\pi\)
\(464\) −40.1140 −1.86225
\(465\) 17.1062 0.793282
\(466\) 34.3568 1.59155
\(467\) −14.3411 + 24.8395i −0.663628 + 1.14944i 0.316028 + 0.948750i \(0.397651\pi\)
−0.979655 + 0.200687i \(0.935683\pi\)
\(468\) 2.64252 2.12969i 0.122150 0.0984447i
\(469\) −24.4792 + 16.7925i −1.13035 + 0.775406i
\(470\) 20.6057 35.6901i 0.950468 1.64626i
\(471\) 5.82721 + 10.0930i 0.268504 + 0.465062i
\(472\) −8.11746 + 14.0599i −0.373636 + 0.647157i
\(473\) 3.34120 + 5.78712i 0.153628 + 0.266092i
\(474\) 0.726546 0.0333714
\(475\) −1.65764 2.87112i −0.0760577 0.131736i
\(476\) −6.78447 3.24333i −0.310966 0.148658i
\(477\) 5.90947 + 10.2355i 0.270576 + 0.468651i
\(478\) −7.12159 12.3350i −0.325734 0.564188i
\(479\) −6.97871 −0.318866 −0.159433 0.987209i \(-0.550967\pi\)
−0.159433 + 0.987209i \(0.550967\pi\)
\(480\) −6.06673 10.5079i −0.276907 0.479617i
\(481\) 1.57084 + 10.0698i 0.0716240 + 0.459143i
\(482\) −35.3133 −1.60848
\(483\) −8.28776 3.96198i −0.377106 0.180277i
\(484\) 4.66987 8.08844i 0.212267 0.367657i
\(485\) 14.3704 0.652527
\(486\) −0.857510 1.48525i −0.0388974 0.0673724i
\(487\) 0.964157 1.66997i 0.0436901 0.0756735i −0.843353 0.537359i \(-0.819422\pi\)
0.887044 + 0.461686i \(0.152755\pi\)
\(488\) −4.73703 −0.214435
\(489\) −24.2516 −1.09670
\(490\) 10.6201 27.5219i 0.479767 1.24331i
\(491\) 14.6968 25.4556i 0.663256 1.14879i −0.316499 0.948593i \(-0.602507\pi\)
0.979755 0.200200i \(-0.0641592\pi\)
\(492\) 2.39189 + 4.14288i 0.107835 + 0.186775i
\(493\) −12.1208 20.9938i −0.545893 0.945514i
\(494\) −3.04359 19.5108i −0.136937 0.877832i
\(495\) −1.27552 + 2.20927i −0.0573304 + 0.0992992i
\(496\) 17.3917 30.1233i 0.780911 1.35258i
\(497\) −7.78231 3.72035i −0.349084 0.166881i
\(498\) 1.14982 + 1.99154i 0.0515246 + 0.0892433i
\(499\) −9.92902 + 17.1976i −0.444484 + 0.769869i −0.998016 0.0629592i \(-0.979946\pi\)
0.553532 + 0.832828i \(0.313280\pi\)
\(500\) −4.58189 + 7.93607i −0.204908 + 0.354912i
\(501\) −8.23216 + 14.2585i −0.367786 + 0.637024i
\(502\) −8.95734 + 15.5146i −0.399786 + 0.692449i
\(503\) 13.3790 + 23.1731i 0.596540 + 1.03324i 0.993328 + 0.115327i \(0.0367917\pi\)
−0.396787 + 0.917911i \(0.629875\pi\)
\(504\) 3.96140 2.71748i 0.176455 0.121046i
\(505\) −22.7650 + 39.4302i −1.01303 + 1.75462i
\(506\) 3.09091 5.35361i 0.137408 0.237997i
\(507\) −9.62021 8.74366i −0.427248 0.388320i
\(508\) 1.73430 + 3.00389i 0.0769471 + 0.133276i
\(509\) −2.96465 5.13492i −0.131406 0.227601i 0.792813 0.609465i \(-0.208616\pi\)
−0.924219 + 0.381864i \(0.875282\pi\)
\(510\) 6.36248 11.0201i 0.281736 0.487980i
\(511\) 35.8395 + 17.1332i 1.58545 + 0.757926i
\(512\) −6.52743 −0.288474
\(513\) −3.19341 −0.140993
\(514\) 6.20303 10.7440i 0.273604 0.473896i
\(515\) 2.49587 + 4.32297i 0.109981 + 0.190493i
\(516\) −6.05888 −0.266727
\(517\) −5.07610 + 8.79206i −0.223247 + 0.386674i
\(518\) −0.995096 12.7873i −0.0437220 0.561840i
\(519\) 20.0405 0.879682
\(520\) −12.5253 + 10.0945i −0.549272 + 0.442675i
\(521\) −16.7414 28.9969i −0.733453 1.27038i −0.955399 0.295319i \(-0.904574\pi\)
0.221946 0.975059i \(-0.428759\pi\)
\(522\) −13.7688 −0.602642
\(523\) −20.7273 35.9007i −0.906341 1.56983i −0.819107 0.573641i \(-0.805530\pi\)
−0.0872343 0.996188i \(-0.527803\pi\)
\(524\) −0.869892 1.50670i −0.0380014 0.0658203i
\(525\) 2.47811 + 1.18467i 0.108154 + 0.0517031i
\(526\) −1.46309 2.53415i −0.0637938 0.110494i
\(527\) 21.0202 0.915655
\(528\) 2.59362 + 4.49228i 0.112873 + 0.195501i
\(529\) 5.47255 9.47874i 0.237937 0.412119i
\(530\) 24.9041 + 43.1351i 1.08176 + 1.87367i
\(531\) −4.47070 + 7.74348i −0.194012 + 0.336039i
\(532\) 0.617030 + 7.92900i 0.0267516 + 0.343766i
\(533\) 14.2672 11.4984i 0.617980 0.498049i
\(534\) −4.54903 + 7.87915i −0.196856 + 0.340964i
\(535\) 5.98753 0.258864
\(536\) −20.3722 −0.879944
\(537\) 10.0951 0.435637
\(538\) −37.7103 −1.62581
\(539\) −2.61620 + 6.77988i −0.112688 + 0.292030i
\(540\) −1.15651 2.00313i −0.0497681 0.0862009i
\(541\) −14.7605 + 25.5660i −0.634606 + 1.09917i 0.351993 + 0.936003i \(0.385504\pi\)
−0.986599 + 0.163166i \(0.947829\pi\)
\(542\) −20.2803 + 35.1265i −0.871113 + 1.50881i
\(543\) −19.8959 −0.853815
\(544\) −7.45483 12.9121i −0.319623 0.553603i
\(545\) −38.6106 −1.65390
\(546\) 11.2235 + 11.9034i 0.480322 + 0.509418i
\(547\) 34.6619 1.48203 0.741017 0.671486i \(-0.234344\pi\)
0.741017 + 0.671486i \(0.234344\pi\)
\(548\) −1.32496 2.29490i −0.0565995 0.0980332i
\(549\) −2.60893 −0.111346
\(550\) −0.924208 + 1.60077i −0.0394084 + 0.0682573i
\(551\) −12.8189 + 22.2030i −0.546104 + 0.945879i
\(552\) −3.15207 5.45955i −0.134161 0.232374i
\(553\) 0.0869600 + 1.11746i 0.00369792 + 0.0475192i
\(554\) 51.3283 2.18073
\(555\) 6.94580 0.294833
\(556\) −3.53641 −0.149977
\(557\) −15.0484 −0.637623 −0.318812 0.947818i \(-0.603284\pi\)
−0.318812 + 0.947818i \(0.603284\pi\)
\(558\) 5.96954 10.3396i 0.252711 0.437708i
\(559\) 3.57707 + 22.9307i 0.151294 + 0.969866i
\(560\) 26.7872 18.3758i 1.13197 0.776518i
\(561\) −1.56737 + 2.71476i −0.0661742 + 0.114617i
\(562\) −23.8933 41.3845i −1.00788 1.74570i
\(563\) 0.728725 1.26219i 0.0307121 0.0531949i −0.850261 0.526362i \(-0.823556\pi\)
0.880973 + 0.473167i \(0.156889\pi\)
\(564\) −4.60246 7.97170i −0.193799 0.335669i
\(565\) 12.4194 0.522488
\(566\) −16.6422 28.8251i −0.699522 1.21161i
\(567\) 2.18175 1.49666i 0.0916247 0.0628537i
\(568\) −2.95984 5.12659i −0.124192 0.215107i
\(569\) −2.05326 3.55635i −0.0860770 0.149090i 0.819773 0.572689i \(-0.194100\pi\)
−0.905850 + 0.423599i \(0.860766\pi\)
\(570\) −13.4579 −0.563689
\(571\) 16.1753 + 28.0165i 0.676916 + 1.17245i 0.975905 + 0.218197i \(0.0700175\pi\)
−0.298988 + 0.954257i \(0.596649\pi\)
\(572\) −2.74336 + 2.21096i −0.114706 + 0.0924448i
\(573\) −15.2774 −0.638221
\(574\) −19.0160 + 13.0448i −0.793713 + 0.544479i
\(575\) 1.80226 3.12160i 0.0751593 0.130180i
\(576\) 1.52470 0.0635292
\(577\) 3.24107 + 5.61369i 0.134927 + 0.233701i 0.925570 0.378577i \(-0.123587\pi\)
−0.790642 + 0.612278i \(0.790253\pi\)
\(578\) −6.75942 + 11.7077i −0.281155 + 0.486975i
\(579\) −25.6681 −1.06673
\(580\) −18.5696 −0.771063
\(581\) −2.92546 + 2.00684i −0.121369 + 0.0832577i
\(582\) 5.01483 8.68594i 0.207871 0.360044i
\(583\) −6.13499 10.6261i −0.254085 0.440088i
\(584\) 13.6308 + 23.6092i 0.564046 + 0.976956i
\(585\) −6.89834 + 5.55958i −0.285211 + 0.229860i
\(586\) 3.78523 6.55621i 0.156366 0.270835i
\(587\) 8.72720 15.1159i 0.360210 0.623902i −0.627785 0.778387i \(-0.716038\pi\)
0.987995 + 0.154485i \(0.0493717\pi\)
\(588\) −4.13764 5.12793i −0.170634 0.211472i
\(589\) −11.1154 19.2525i −0.458004 0.793286i
\(590\) −18.8407 + 32.6331i −0.775660 + 1.34348i
\(591\) −7.84255 + 13.5837i −0.322599 + 0.558759i
\(592\) 7.06172 12.2313i 0.290235 0.502702i
\(593\) −5.07543 + 8.79090i −0.208423 + 0.360999i −0.951218 0.308520i \(-0.900166\pi\)
0.742795 + 0.669519i \(0.233500\pi\)
\(594\) 0.890235 + 1.54193i 0.0365268 + 0.0632662i
\(595\) 17.7110 + 8.46678i 0.726080 + 0.347104i
\(596\) −3.17067 + 5.49176i −0.129876 + 0.224951i
\(597\) −2.87545 + 4.98042i −0.117684 + 0.203835i
\(598\) 16.7164 13.4723i 0.683585 0.550922i
\(599\) −5.29665 9.17406i −0.216415 0.374842i 0.737294 0.675572i \(-0.236103\pi\)
−0.953709 + 0.300730i \(0.902770\pi\)
\(600\) 0.942496 + 1.63245i 0.0384772 + 0.0666445i
\(601\) 5.08203 8.80234i 0.207300 0.359055i −0.743563 0.668666i \(-0.766866\pi\)
0.950863 + 0.309611i \(0.100199\pi\)
\(602\) −2.26601 29.1188i −0.0923556 1.18680i
\(603\) −11.2200 −0.456914
\(604\) 5.08337 0.206840
\(605\) −12.1908 + 21.1150i −0.495625 + 0.858448i
\(606\) 15.8886 + 27.5198i 0.645430 + 1.11792i
\(607\) 32.4478 1.31702 0.658508 0.752574i \(-0.271188\pi\)
0.658508 + 0.752574i \(0.271188\pi\)
\(608\) −7.88420 + 13.6558i −0.319746 + 0.553817i
\(609\) −1.64798 21.1770i −0.0667794 0.858134i
\(610\) −10.9947 −0.445163
\(611\) −27.4528 + 22.1251i −1.11062 + 0.895085i
\(612\) −1.42112 2.46145i −0.0574454 0.0994983i
\(613\) −9.83642 −0.397289 −0.198645 0.980072i \(-0.563654\pi\)
−0.198645 + 0.980072i \(0.563654\pi\)
\(614\) −7.77757 13.4712i −0.313877 0.543651i
\(615\) −6.24408 10.8151i −0.251785 0.436105i
\(616\) −4.11258 + 2.82119i −0.165700 + 0.113669i
\(617\) 17.6661 + 30.5985i 0.711208 + 1.23185i 0.964404 + 0.264434i \(0.0851851\pi\)
−0.253195 + 0.967415i \(0.581482\pi\)
\(618\) 3.48392 0.140144
\(619\) −17.5126 30.3327i −0.703892 1.21918i −0.967090 0.254434i \(-0.918111\pi\)
0.263198 0.964742i \(-0.415223\pi\)
\(620\) 8.05100 13.9447i 0.323336 0.560034i
\(621\) −1.73601 3.00685i −0.0696636 0.120661i
\(622\) 20.3558 35.2573i 0.816193 1.41369i
\(623\) −12.6630 6.05356i −0.507331 0.242531i
\(624\) 2.77672 + 17.8001i 0.111158 + 0.712572i
\(625\) 14.5565 25.2126i 0.582261 1.00850i
\(626\) −22.2287 −0.888437
\(627\) 3.31528 0.132400
\(628\) 10.9702 0.437761
\(629\) 8.53503 0.340314
\(630\) 9.19445 6.30731i 0.366316 0.251289i
\(631\) −10.2980 17.8367i −0.409959 0.710069i 0.584926 0.811087i \(-0.301124\pi\)
−0.994885 + 0.101017i \(0.967790\pi\)
\(632\) −0.384599 + 0.666145i −0.0152985 + 0.0264978i
\(633\) −10.3771 + 17.9736i −0.412451 + 0.714387i
\(634\) 53.8558 2.13889
\(635\) −4.52742 7.84172i −0.179665 0.311189i
\(636\) 11.1251 0.441139
\(637\) −16.9646 + 18.6870i −0.672161 + 0.740405i
\(638\) 14.2942 0.565913
\(639\) −1.63013 2.82347i −0.0644871 0.111695i
\(640\) 30.6924 1.21322
\(641\) 17.5384 30.3774i 0.692725 1.19983i −0.278217 0.960518i \(-0.589744\pi\)
0.970942 0.239316i \(-0.0769232\pi\)
\(642\) 2.08946 3.61906i 0.0824646 0.142833i
\(643\) −12.4615 21.5840i −0.491435 0.851190i 0.508517 0.861052i \(-0.330194\pi\)
−0.999951 + 0.00986235i \(0.996861\pi\)
\(644\) −7.13036 + 4.89136i −0.280976 + 0.192747i
\(645\) 15.8168 0.622787
\(646\) −16.5371 −0.650644
\(647\) −3.35518 −0.131906 −0.0659528 0.997823i \(-0.521009\pi\)
−0.0659528 + 0.997823i \(0.521009\pi\)
\(648\) 1.81570 0.0713275
\(649\) 4.64131 8.03899i 0.182188 0.315558i
\(650\) −4.99835 + 4.02832i −0.196052 + 0.158004i
\(651\) 16.6172 + 7.94388i 0.651279 + 0.311345i
\(652\) −11.4140 + 19.7695i −0.447005 + 0.774235i
\(653\) −2.54625 4.41024i −0.0996426 0.172586i 0.811894 0.583805i \(-0.198437\pi\)
−0.911537 + 0.411219i \(0.865103\pi\)
\(654\) −13.4739 + 23.3375i −0.526872 + 0.912569i
\(655\) 2.27087 + 3.93326i 0.0887302 + 0.153685i
\(656\) −25.3931 −0.991435
\(657\) 7.50717 + 13.0028i 0.292883 + 0.507288i
\(658\) 36.5905 25.1007i 1.42645 0.978529i
\(659\) −16.9148 29.2973i −0.658907 1.14126i −0.980899 0.194518i \(-0.937686\pi\)
0.321992 0.946742i \(-0.395648\pi\)
\(660\) 1.20064 + 2.07957i 0.0467349 + 0.0809472i
\(661\) 33.9014 1.31861 0.659306 0.751875i \(-0.270850\pi\)
0.659306 + 0.751875i \(0.270850\pi\)
\(662\) −9.88135 17.1150i −0.384050 0.665194i
\(663\) −8.47671 + 6.83164i −0.329208 + 0.265319i
\(664\) −2.43464 −0.0944823
\(665\) −1.61077 20.6988i −0.0624629 0.802665i
\(666\) 2.42387 4.19827i 0.0939230 0.162679i
\(667\) −27.8745 −1.07931
\(668\) 7.74889 + 13.4215i 0.299813 + 0.519292i
\(669\) −5.68668 + 9.84963i −0.219860 + 0.380809i
\(670\) −47.2841 −1.82674
\(671\) 2.70849 0.104560
\(672\) −1.01358 13.0248i −0.0390997 0.502442i
\(673\) −7.46805 + 12.9350i −0.287872 + 0.498609i −0.973302 0.229530i \(-0.926281\pi\)
0.685430 + 0.728139i \(0.259614\pi\)
\(674\) −15.2485 26.4112i −0.587351 1.01732i
\(675\) 0.519081 + 0.899075i 0.0199794 + 0.0346054i
\(676\) −11.6554 + 3.72707i −0.448286 + 0.143349i
\(677\) 10.8470 18.7875i 0.416883 0.722063i −0.578741 0.815512i \(-0.696456\pi\)
0.995624 + 0.0934485i \(0.0297891\pi\)
\(678\) 4.33399 7.50668i 0.166446 0.288292i
\(679\) 13.9596 + 6.67341i 0.535720 + 0.256102i
\(680\) 6.73600 + 11.6671i 0.258314 + 0.447412i
\(681\) −2.71464 + 4.70189i −0.104025 + 0.180177i
\(682\) −6.19735 + 10.7341i −0.237309 + 0.411031i
\(683\) −11.6479 + 20.1747i −0.445694 + 0.771965i −0.998100 0.0616101i \(-0.980376\pi\)
0.552406 + 0.833575i \(0.313710\pi\)
\(684\) −1.50297 + 2.60322i −0.0574675 + 0.0995367i
\(685\) 3.45883 + 5.99087i 0.132155 + 0.228900i
\(686\) 23.0972 21.8033i 0.881856 0.832452i
\(687\) 8.67170 15.0198i 0.330846 0.573042i
\(688\) 16.0808 27.8527i 0.613074 1.06188i
\(689\) −6.56810 42.1046i −0.250225 1.60406i
\(690\) −7.31599 12.6717i −0.278515 0.482402i
\(691\) −15.6725 27.1456i −0.596212 1.03267i −0.993375 0.114921i \(-0.963339\pi\)
0.397163 0.917748i \(-0.369995\pi\)
\(692\) 9.43202 16.3367i 0.358552 0.621030i
\(693\) −2.26501 + 1.55377i −0.0860405 + 0.0590230i
\(694\) 21.1291 0.802049
\(695\) 9.23188 0.350185
\(696\) 7.28853 12.6241i 0.276271 0.478516i
\(697\) −7.67275 13.2896i −0.290626 0.503379i
\(698\) −14.7397 −0.557904
\(699\) −10.0164 + 17.3490i −0.378857 + 0.656199i
\(700\) 2.13204 1.46256i 0.0805835 0.0552795i
\(701\) −36.5409 −1.38013 −0.690066 0.723746i \(-0.742419\pi\)
−0.690066 + 0.723746i \(0.742419\pi\)
\(702\) 0.953083 + 6.10970i 0.0359718 + 0.230596i
\(703\) −4.51331 7.81728i −0.170223 0.294834i
\(704\) −1.58289 −0.0596573
\(705\) 12.0148 + 20.8103i 0.452504 + 0.783761i
\(706\) 25.0091 + 43.3171i 0.941232 + 1.63026i
\(707\) −40.4250 + 27.7312i −1.52034 + 1.04294i
\(708\) 4.20825 + 7.28890i 0.158156 + 0.273934i
\(709\) 32.9378 1.23700 0.618502 0.785783i \(-0.287740\pi\)
0.618502 + 0.785783i \(0.287740\pi\)
\(710\) −6.86981 11.8989i −0.257819 0.446556i
\(711\) −0.211818 + 0.366880i −0.00794381 + 0.0137591i
\(712\) −4.81609 8.34170i −0.180490 0.312619i
\(713\) 12.0852 20.9322i 0.452594 0.783916i
\(714\) 11.2982 7.75045i 0.422824 0.290053i
\(715\) 7.16160 5.77175i 0.267829 0.215851i
\(716\) 4.75125 8.22941i 0.177563 0.307547i
\(717\) 8.30497 0.310155
\(718\) −6.17147 −0.230317
\(719\) 8.58636 0.320217 0.160109 0.987099i \(-0.448816\pi\)
0.160109 + 0.987099i \(0.448816\pi\)
\(720\) 12.2779 0.457569
\(721\) 0.416990 + 5.35843i 0.0155295 + 0.199558i
\(722\) −7.54790 13.0734i −0.280904 0.486540i
\(723\) 10.2953 17.8320i 0.382886 0.663178i
\(724\) −9.36395 + 16.2188i −0.348009 + 0.602769i
\(725\) 8.33472 0.309544
\(726\) 8.50840 + 14.7370i 0.315776 + 0.546941i
\(727\) 31.5760 1.17109 0.585545 0.810640i \(-0.300881\pi\)
0.585545 + 0.810640i \(0.300881\pi\)
\(728\) −16.8550 + 3.98937i −0.624688 + 0.147856i
\(729\) 1.00000 0.0370370
\(730\) 31.6372 + 54.7972i 1.17095 + 2.02814i
\(731\) 19.4358 0.718858
\(732\) −1.22788 + 2.12676i −0.0453839 + 0.0786073i
\(733\) 7.35414 12.7377i 0.271631 0.470479i −0.697648 0.716440i \(-0.745770\pi\)
0.969280 + 0.245961i \(0.0791035\pi\)
\(734\) 26.6390 + 46.1401i 0.983263 + 1.70306i
\(735\) 10.8014 + 13.3866i 0.398416 + 0.493770i
\(736\) −17.1441 −0.631939
\(737\) 11.6482 0.429067
\(738\) −8.71596 −0.320839
\(739\) −14.1659 −0.521102 −0.260551 0.965460i \(-0.583904\pi\)
−0.260551 + 0.965460i \(0.583904\pi\)
\(740\) 3.26902 5.66211i 0.120172 0.208143i
\(741\) 10.7396 + 4.15131i 0.394529 + 0.152502i
\(742\) 4.16077 + 53.4670i 0.152747 + 1.96283i
\(743\) −21.4265 + 37.1119i −0.786063 + 1.36150i 0.142298 + 0.989824i \(0.454551\pi\)
−0.928362 + 0.371678i \(0.878783\pi\)
\(744\) 6.31999 + 10.9465i 0.231702 + 0.401320i
\(745\) 8.27709 14.3363i 0.303249 0.525243i
\(746\) −20.1193 34.8477i −0.736621 1.27586i
\(747\) −1.34088 −0.0490603
\(748\) 1.47535 + 2.55539i 0.0539442 + 0.0934342i
\(749\) 5.81636 + 2.78052i 0.212525 + 0.101598i
\(750\) −8.34811 14.4594i −0.304830 0.527981i
\(751\) 0.310328 + 0.537504i 0.0113240 + 0.0196138i 0.871632 0.490161i \(-0.163062\pi\)
−0.860308 + 0.509775i \(0.829729\pi\)
\(752\) 48.8614 1.78179
\(753\) −5.22288 9.04629i −0.190332 0.329665i
\(754\) 46.3050 + 17.8988i 1.68633 + 0.651837i
\(755\) −13.2702 −0.482954
\(756\) −0.193220 2.48292i −0.00702733 0.0903031i
\(757\) 2.21558 3.83750i 0.0805266 0.139476i −0.822950 0.568114i \(-0.807673\pi\)
0.903476 + 0.428638i \(0.141006\pi\)
\(758\) 16.0194 0.581851
\(759\) 1.80226 + 3.12160i 0.0654178 + 0.113307i
\(760\) 7.12397 12.3391i 0.258413 0.447585i
\(761\) 21.0044 0.761409 0.380704 0.924697i \(-0.375682\pi\)
0.380704 + 0.924697i \(0.375682\pi\)
\(762\) −6.31972 −0.228939
\(763\) −37.5068 17.9302i −1.35784 0.649117i
\(764\) −7.19024 + 12.4539i −0.260134 + 0.450565i
\(765\) 3.70986 + 6.42567i 0.134130 + 0.232320i
\(766\) 10.0169 + 17.3497i 0.361924 + 0.626871i
\(767\) 25.1014 20.2300i 0.906360 0.730463i
\(768\) 9.18600 15.9106i 0.331471 0.574125i
\(769\) −5.85570 + 10.1424i −0.211162 + 0.365743i −0.952078 0.305854i \(-0.901058\pi\)
0.740917 + 0.671597i \(0.234391\pi\)
\(770\) −9.54533 + 6.54801i −0.343990 + 0.235974i
\(771\) 3.61689 + 6.26463i 0.130259 + 0.225615i
\(772\) −12.0806 + 20.9242i −0.434790 + 0.753079i
\(773\) −4.02075 + 6.96415i −0.144616 + 0.250483i −0.929230 0.369502i \(-0.879528\pi\)
0.784613 + 0.619985i \(0.212861\pi\)
\(774\) 5.51958 9.56019i 0.198397 0.343634i
\(775\) −3.61357 + 6.25890i −0.129803 + 0.224826i
\(776\) 5.30923 + 9.19585i