Properties

Label 570.2.s.b.221.11
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.11
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(1.54313 + 0.786608i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.0903420 + 1.72969i) q^{6} +2.34168 q^{7} -1.00000 q^{8} +(1.76250 + 2.42768i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(1.54313 + 0.786608i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.0903420 + 1.72969i) q^{6} +2.34168 q^{7} -1.00000 q^{8} +(1.76250 + 2.42768i) q^{9} +(-0.866025 - 0.500000i) q^{10} +2.39841i q^{11} +(-1.45279 + 0.943085i) q^{12} +(-0.414577 - 0.239356i) q^{13} +(1.17084 + 2.02795i) q^{14} +(-1.72969 + 0.0903420i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.40013 + 1.38572i) q^{17} +(-1.22118 + 2.74020i) q^{18} +(0.994947 - 4.24383i) q^{19} -1.00000i q^{20} +(3.61351 + 1.84198i) q^{21} +(-2.07709 + 1.19921i) q^{22} +(1.80040 + 1.03946i) q^{23} +(-1.54313 - 0.786608i) q^{24} +(0.500000 - 0.866025i) q^{25} -0.478712i q^{26} +(0.810128 + 5.13261i) q^{27} +(-1.17084 + 2.02795i) q^{28} +(-0.313727 + 0.543392i) q^{29} +(-0.943085 - 1.45279i) q^{30} -2.05113i q^{31} +(0.500000 - 0.866025i) q^{32} +(-1.88661 + 3.70106i) q^{33} +(-2.40013 - 1.38572i) q^{34} +(-2.02795 + 1.17084i) q^{35} +(-2.98368 + 0.312528i) q^{36} +5.67577i q^{37} +(4.17274 - 1.26026i) q^{38} +(-0.451467 - 0.695467i) q^{39} +(0.866025 - 0.500000i) q^{40} +(1.04624 + 1.81214i) q^{41} +(0.211552 + 4.05038i) q^{42} +(-3.77271 - 6.53452i) q^{43} +(-2.07709 - 1.19921i) q^{44} +(-2.74020 - 1.22118i) q^{45} +2.07892i q^{46} +(1.94389 + 1.12231i) q^{47} +(-0.0903420 - 1.72969i) q^{48} -1.51654 q^{49} +1.00000 q^{50} +(-4.79373 + 0.250377i) q^{51} +(0.414577 - 0.239356i) q^{52} +(6.64114 - 11.5028i) q^{53} +(-4.03991 + 3.26790i) q^{54} +(-1.19921 - 2.07709i) q^{55} -2.34168 q^{56} +(4.87356 - 5.76614i) q^{57} -0.627455 q^{58} +(-3.13769 - 5.43465i) q^{59} +(0.786608 - 1.54313i) q^{60} +(1.25195 - 2.16845i) q^{61} +(1.77633 - 1.02556i) q^{62} +(4.12720 + 5.68484i) q^{63} +1.00000 q^{64} +0.478712 q^{65} +(-4.14852 + 0.216677i) q^{66} +(11.3258 + 6.53894i) q^{67} -2.77143i q^{68} +(1.96060 + 3.02023i) q^{69} +(-2.02795 - 1.17084i) q^{70} +(-2.68385 - 4.64856i) q^{71} +(-1.76250 - 2.42768i) q^{72} +(-5.81045 - 10.0640i) q^{73} +(-4.91536 + 2.83789i) q^{74} +(1.45279 - 0.943085i) q^{75} +(3.17779 + 2.98356i) q^{76} +5.61632i q^{77} +(0.376559 - 0.738715i) q^{78} +(10.1589 - 5.86527i) q^{79} +(0.866025 + 0.500000i) q^{80} +(-2.78722 + 8.55753i) q^{81} +(-1.04624 + 1.81214i) q^{82} -11.3081i q^{83} +(-3.40196 + 2.20840i) q^{84} +(1.38572 - 2.40013i) q^{85} +(3.77271 - 6.53452i) q^{86} +(-0.911558 + 0.591743i) q^{87} -2.39841i q^{88} +(-4.97362 + 8.61457i) q^{89} +(-0.312528 - 2.98368i) q^{90} +(-0.970806 - 0.560495i) q^{91} +(-1.80040 + 1.03946i) q^{92} +(1.61344 - 3.16516i) q^{93} +2.24461i q^{94} +(1.26026 + 4.17274i) q^{95} +(1.45279 - 0.943085i) q^{96} +(7.49209 - 4.32556i) q^{97} +(-0.758271 - 1.31336i) q^{98} +(-5.82257 + 4.22719i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 1.54313 + 0.786608i 0.890926 + 0.454148i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.0903420 + 1.72969i 0.0368820 + 0.706144i
\(7\) 2.34168 0.885071 0.442536 0.896751i \(-0.354079\pi\)
0.442536 + 0.896751i \(0.354079\pi\)
\(8\) −1.00000 −0.353553
\(9\) 1.76250 + 2.42768i 0.587498 + 0.809225i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 2.39841i 0.723149i 0.932343 + 0.361575i \(0.117761\pi\)
−0.932343 + 0.361575i \(0.882239\pi\)
\(12\) −1.45279 + 0.943085i −0.419384 + 0.272245i
\(13\) −0.414577 0.239356i −0.114983 0.0663855i 0.441406 0.897308i \(-0.354480\pi\)
−0.556389 + 0.830922i \(0.687813\pi\)
\(14\) 1.17084 + 2.02795i 0.312920 + 0.541993i
\(15\) −1.72969 + 0.0903420i −0.446605 + 0.0233262i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.40013 + 1.38572i −0.582117 + 0.336086i −0.761974 0.647607i \(-0.775770\pi\)
0.179857 + 0.983693i \(0.442436\pi\)
\(18\) −1.22118 + 2.74020i −0.287835 + 0.645872i
\(19\) 0.994947 4.24383i 0.228256 0.973601i
\(20\) 1.00000i 0.223607i
\(21\) 3.61351 + 1.84198i 0.788533 + 0.401954i
\(22\) −2.07709 + 1.19921i −0.442837 + 0.255672i
\(23\) 1.80040 + 1.03946i 0.375409 + 0.216743i 0.675819 0.737068i \(-0.263790\pi\)
−0.300410 + 0.953810i \(0.597123\pi\)
\(24\) −1.54313 0.786608i −0.314990 0.160566i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.478712i 0.0938832i
\(27\) 0.810128 + 5.13261i 0.155909 + 0.987771i
\(28\) −1.17084 + 2.02795i −0.221268 + 0.383247i
\(29\) −0.313727 + 0.543392i −0.0582577 + 0.100905i −0.893683 0.448698i \(-0.851888\pi\)
0.835426 + 0.549603i \(0.185221\pi\)
\(30\) −0.943085 1.45279i −0.172183 0.265241i
\(31\) 2.05113i 0.368394i −0.982889 0.184197i \(-0.941032\pi\)
0.982889 0.184197i \(-0.0589684\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −1.88661 + 3.70106i −0.328417 + 0.644272i
\(34\) −2.40013 1.38572i −0.411619 0.237648i
\(35\) −2.02795 + 1.17084i −0.342787 + 0.197908i
\(36\) −2.98368 + 0.312528i −0.497279 + 0.0520880i
\(37\) 5.67577i 0.933091i 0.884497 + 0.466546i \(0.154502\pi\)
−0.884497 + 0.466546i \(0.845498\pi\)
\(38\) 4.17274 1.26026i 0.676907 0.204442i
\(39\) −0.451467 0.695467i −0.0722925 0.111364i
\(40\) 0.866025 0.500000i 0.136931 0.0790569i
\(41\) 1.04624 + 1.81214i 0.163395 + 0.283008i 0.936084 0.351776i \(-0.114422\pi\)
−0.772689 + 0.634785i \(0.781089\pi\)
\(42\) 0.211552 + 4.05038i 0.0326432 + 0.624988i
\(43\) −3.77271 6.53452i −0.575333 0.996506i −0.996005 0.0892931i \(-0.971539\pi\)
0.420673 0.907213i \(-0.361794\pi\)
\(44\) −2.07709 1.19921i −0.313133 0.180787i
\(45\) −2.74020 1.22118i −0.408485 0.182043i
\(46\) 2.07892i 0.306520i
\(47\) 1.94389 + 1.12231i 0.283546 + 0.163705i 0.635028 0.772490i \(-0.280989\pi\)
−0.351482 + 0.936195i \(0.614322\pi\)
\(48\) −0.0903420 1.72969i −0.0130397 0.249660i
\(49\) −1.51654 −0.216649
\(50\) 1.00000 0.141421
\(51\) −4.79373 + 0.250377i −0.671256 + 0.0350597i
\(52\) 0.414577 0.239356i 0.0574915 0.0331927i
\(53\) 6.64114 11.5028i 0.912231 1.58003i 0.101325 0.994853i \(-0.467692\pi\)
0.810906 0.585176i \(-0.198975\pi\)
\(54\) −4.03991 + 3.26790i −0.549762 + 0.444704i
\(55\) −1.19921 2.07709i −0.161701 0.280074i
\(56\) −2.34168 −0.312920
\(57\) 4.87356 5.76614i 0.645519 0.763744i
\(58\) −0.627455 −0.0823889
\(59\) −3.13769 5.43465i −0.408493 0.707531i 0.586228 0.810146i \(-0.300612\pi\)
−0.994721 + 0.102615i \(0.967279\pi\)
\(60\) 0.786608 1.54313i 0.101551 0.199217i
\(61\) 1.25195 2.16845i 0.160296 0.277641i −0.774679 0.632355i \(-0.782088\pi\)
0.934975 + 0.354714i \(0.115422\pi\)
\(62\) 1.77633 1.02556i 0.225594 0.130247i
\(63\) 4.12720 + 5.68484i 0.519978 + 0.716222i
\(64\) 1.00000 0.125000
\(65\) 0.478712 0.0593770
\(66\) −4.14852 + 0.216677i −0.510648 + 0.0266712i
\(67\) 11.3258 + 6.53894i 1.38366 + 0.798859i 0.992591 0.121501i \(-0.0387707\pi\)
0.391073 + 0.920360i \(0.372104\pi\)
\(68\) 2.77143i 0.336086i
\(69\) 1.96060 + 3.02023i 0.236028 + 0.363593i
\(70\) −2.02795 1.17084i −0.242387 0.139942i
\(71\) −2.68385 4.64856i −0.318514 0.551682i 0.661664 0.749800i \(-0.269850\pi\)
−0.980178 + 0.198118i \(0.936517\pi\)
\(72\) −1.76250 2.42768i −0.207712 0.286104i
\(73\) −5.81045 10.0640i −0.680062 1.17790i −0.974962 0.222373i \(-0.928620\pi\)
0.294900 0.955528i \(-0.404714\pi\)
\(74\) −4.91536 + 2.83789i −0.571399 + 0.329898i
\(75\) 1.45279 0.943085i 0.167753 0.108898i
\(76\) 3.17779 + 2.98356i 0.364517 + 0.342238i
\(77\) 5.61632i 0.640038i
\(78\) 0.376559 0.738715i 0.0426369 0.0836430i
\(79\) 10.1589 5.86527i 1.14297 0.659894i 0.195806 0.980643i \(-0.437268\pi\)
0.947164 + 0.320749i \(0.103934\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) −2.78722 + 8.55753i −0.309691 + 0.950837i
\(82\) −1.04624 + 1.81214i −0.115538 + 0.200117i
\(83\) 11.3081i 1.24123i −0.784115 0.620615i \(-0.786883\pi\)
0.784115 0.620615i \(-0.213117\pi\)
\(84\) −3.40196 + 2.20840i −0.371184 + 0.240956i
\(85\) 1.38572 2.40013i 0.150302 0.260331i
\(86\) 3.77271 6.53452i 0.406822 0.704636i
\(87\) −0.911558 + 0.591743i −0.0977293 + 0.0634415i
\(88\) 2.39841i 0.255672i
\(89\) −4.97362 + 8.61457i −0.527203 + 0.913142i 0.472294 + 0.881441i \(0.343426\pi\)
−0.999497 + 0.0317016i \(0.989907\pi\)
\(90\) −0.312528 2.98368i −0.0329433 0.314507i
\(91\) −0.970806 0.560495i −0.101768 0.0587559i
\(92\) −1.80040 + 1.03946i −0.187705 + 0.108371i
\(93\) 1.61344 3.16516i 0.167305 0.328212i
\(94\) 2.24461i 0.231514i
\(95\) 1.26026 + 4.17274i 0.129300 + 0.428114i
\(96\) 1.45279 0.943085i 0.148274 0.0962532i
\(97\) 7.49209 4.32556i 0.760706 0.439194i −0.0688431 0.997627i \(-0.521931\pi\)
0.829549 + 0.558434i \(0.188597\pi\)
\(98\) −0.758271 1.31336i −0.0765970 0.132670i
\(99\) −5.82257 + 4.22719i −0.585191 + 0.424849i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 3.96069 + 2.28671i 0.394103 + 0.227536i 0.683937 0.729542i \(-0.260267\pi\)
−0.289833 + 0.957077i \(0.593600\pi\)
\(102\) −2.61370 4.02630i −0.258794 0.398663i
\(103\) 2.29913i 0.226540i 0.993564 + 0.113270i \(0.0361325\pi\)
−0.993564 + 0.113270i \(0.963867\pi\)
\(104\) 0.414577 + 0.239356i 0.0406526 + 0.0234708i
\(105\) −4.05038 + 0.211552i −0.395277 + 0.0206453i
\(106\) 13.2823 1.29009
\(107\) −12.1841 −1.17788 −0.588939 0.808177i \(-0.700454\pi\)
−0.588939 + 0.808177i \(0.700454\pi\)
\(108\) −4.85004 1.86471i −0.466695 0.179432i
\(109\) −0.624429 + 0.360514i −0.0598095 + 0.0345310i −0.529607 0.848243i \(-0.677660\pi\)
0.469797 + 0.882774i \(0.344327\pi\)
\(110\) 1.19921 2.07709i 0.114340 0.198043i
\(111\) −4.46461 + 8.75845i −0.423762 + 0.831315i
\(112\) −1.17084 2.02795i −0.110634 0.191624i
\(113\) 9.99505 0.940255 0.470128 0.882598i \(-0.344208\pi\)
0.470128 + 0.882598i \(0.344208\pi\)
\(114\) 7.43041 + 1.33756i 0.695921 + 0.125274i
\(115\) −2.07892 −0.193860
\(116\) −0.313727 0.543392i −0.0291289 0.0504527i
\(117\) −0.149611 1.42832i −0.0138315 0.132049i
\(118\) 3.13769 5.43465i 0.288848 0.500300i
\(119\) −5.62033 + 3.24490i −0.515215 + 0.297460i
\(120\) 1.72969 0.0903420i 0.157899 0.00824706i
\(121\) 5.24761 0.477055
\(122\) 2.50391 0.226693
\(123\) 0.189038 + 3.61934i 0.0170450 + 0.326345i
\(124\) 1.77633 + 1.02556i 0.159519 + 0.0920984i
\(125\) 1.00000i 0.0894427i
\(126\) −2.85961 + 6.41668i −0.254755 + 0.571643i
\(127\) 9.58763 + 5.53542i 0.850764 + 0.491189i 0.860909 0.508760i \(-0.169896\pi\)
−0.0101444 + 0.999949i \(0.503229\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −0.681668 13.0513i −0.0600175 1.14910i
\(130\) 0.239356 + 0.414577i 0.0209929 + 0.0363608i
\(131\) −13.3817 + 7.72594i −1.16917 + 0.675018i −0.953484 0.301445i \(-0.902531\pi\)
−0.215683 + 0.976464i \(0.569198\pi\)
\(132\) −2.26191 3.48439i −0.196874 0.303277i
\(133\) 2.32985 9.93768i 0.202023 0.861706i
\(134\) 13.0779i 1.12976i
\(135\) −3.26790 4.03991i −0.281256 0.347700i
\(136\) 2.40013 1.38572i 0.205810 0.118824i
\(137\) −7.57874 4.37559i −0.647496 0.373832i 0.140000 0.990151i \(-0.455290\pi\)
−0.787496 + 0.616320i \(0.788623\pi\)
\(138\) −1.63530 + 3.20804i −0.139206 + 0.273087i
\(139\) 3.74921 6.49383i 0.318004 0.550799i −0.662067 0.749444i \(-0.730321\pi\)
0.980071 + 0.198645i \(0.0636541\pi\)
\(140\) 2.34168i 0.197908i
\(141\) 2.11686 + 3.26094i 0.178272 + 0.274621i
\(142\) 2.68385 4.64856i 0.225223 0.390098i
\(143\) 0.574075 0.994328i 0.0480066 0.0831499i
\(144\) 1.22118 2.74020i 0.101765 0.228350i
\(145\) 0.627455i 0.0521073i
\(146\) 5.81045 10.0640i 0.480876 0.832902i
\(147\) −2.34022 1.19293i −0.193018 0.0983908i
\(148\) −4.91536 2.83789i −0.404040 0.233273i
\(149\) 10.5955 6.11734i 0.868020 0.501152i 0.00133030 0.999999i \(-0.499577\pi\)
0.866690 + 0.498847i \(0.166243\pi\)
\(150\) 1.54313 + 0.786608i 0.125996 + 0.0642263i
\(151\) 16.0545i 1.30650i 0.757143 + 0.653250i \(0.226595\pi\)
−0.757143 + 0.653250i \(0.773405\pi\)
\(152\) −0.994947 + 4.24383i −0.0807009 + 0.344220i
\(153\) −7.59429 3.38442i −0.613962 0.273614i
\(154\) −4.86387 + 2.80816i −0.391942 + 0.226288i
\(155\) 1.02556 + 1.77633i 0.0823753 + 0.142678i
\(156\) 0.828026 0.0432478i 0.0662951 0.00346260i
\(157\) −0.836254 1.44843i −0.0667404 0.115598i 0.830724 0.556684i \(-0.187927\pi\)
−0.897465 + 0.441086i \(0.854593\pi\)
\(158\) 10.1589 + 5.86527i 0.808202 + 0.466616i
\(159\) 19.2963 12.5263i 1.53030 0.993402i
\(160\) 1.00000i 0.0790569i
\(161\) 4.21595 + 2.43408i 0.332264 + 0.191833i
\(162\) −8.80465 + 1.86496i −0.691759 + 0.146525i
\(163\) 12.4272 0.973371 0.486686 0.873577i \(-0.338206\pi\)
0.486686 + 0.873577i \(0.338206\pi\)
\(164\) −2.09248 −0.163395
\(165\) −0.216677 4.14852i −0.0168683 0.322962i
\(166\) 9.79314 5.65407i 0.760095 0.438841i
\(167\) 0.136815 0.236971i 0.0105871 0.0183374i −0.860683 0.509141i \(-0.829963\pi\)
0.871270 + 0.490803i \(0.163297\pi\)
\(168\) −3.61351 1.84198i −0.278789 0.142112i
\(169\) −6.38542 11.0599i −0.491186 0.850759i
\(170\) 2.77143 0.212559
\(171\) 12.0562 5.06432i 0.921963 0.387278i
\(172\) 7.54542 0.575333
\(173\) −12.1946 21.1216i −0.927137 1.60585i −0.788088 0.615563i \(-0.788929\pi\)
−0.139049 0.990286i \(-0.544404\pi\)
\(174\) −0.968244 0.493561i −0.0734024 0.0374168i
\(175\) 1.17084 2.02795i 0.0885071 0.153299i
\(176\) 2.07709 1.19921i 0.156566 0.0903936i
\(177\) −0.566931 10.8545i −0.0426131 0.815874i
\(178\) −9.94725 −0.745578
\(179\) −20.0769 −1.50062 −0.750309 0.661087i \(-0.770095\pi\)
−0.750309 + 0.661087i \(0.770095\pi\)
\(180\) 2.42768 1.76250i 0.180948 0.131369i
\(181\) 10.2054 + 5.89207i 0.758559 + 0.437954i 0.828778 0.559578i \(-0.189037\pi\)
−0.0702194 + 0.997532i \(0.522370\pi\)
\(182\) 1.12099i 0.0830933i
\(183\) 3.63765 2.36140i 0.268902 0.174560i
\(184\) −1.80040 1.03946i −0.132727 0.0766301i
\(185\) −2.83789 4.91536i −0.208646 0.361385i
\(186\) 3.54782 0.185303i 0.260139 0.0135871i
\(187\) −3.32352 5.75651i −0.243040 0.420958i
\(188\) −1.94389 + 1.12231i −0.141773 + 0.0818526i
\(189\) 1.89706 + 12.0189i 0.137991 + 0.874248i
\(190\) −2.98356 + 3.17779i −0.216450 + 0.230541i
\(191\) 7.36887i 0.533193i 0.963808 + 0.266596i \(0.0858991\pi\)
−0.963808 + 0.266596i \(0.914101\pi\)
\(192\) 1.54313 + 0.786608i 0.111366 + 0.0567686i
\(193\) −6.47095 + 3.73601i −0.465789 + 0.268924i −0.714475 0.699661i \(-0.753335\pi\)
0.248686 + 0.968584i \(0.420001\pi\)
\(194\) 7.49209 + 4.32556i 0.537900 + 0.310557i
\(195\) 0.738715 + 0.376559i 0.0529005 + 0.0269660i
\(196\) 0.758271 1.31336i 0.0541622 0.0938118i
\(197\) 20.2370i 1.44183i −0.693025 0.720913i \(-0.743723\pi\)
0.693025 0.720913i \(-0.256277\pi\)
\(198\) −6.57214 2.92890i −0.467062 0.208148i
\(199\) −5.62306 + 9.73942i −0.398608 + 0.690409i −0.993554 0.113356i \(-0.963840\pi\)
0.594946 + 0.803765i \(0.297173\pi\)
\(200\) −0.500000 + 0.866025i −0.0353553 + 0.0612372i
\(201\) 12.3336 + 18.9994i 0.869942 + 1.34011i
\(202\) 4.57341i 0.321784i
\(203\) −0.734649 + 1.27245i −0.0515622 + 0.0893084i
\(204\) 2.18003 4.27668i 0.152633 0.299427i
\(205\) −1.81214 1.04624i −0.126565 0.0730725i
\(206\) −1.99110 + 1.14956i −0.138727 + 0.0800940i
\(207\) 0.649721 + 6.20283i 0.0451587 + 0.431126i
\(208\) 0.478712i 0.0331927i
\(209\) 10.1785 + 2.38630i 0.704059 + 0.165063i
\(210\) −2.20840 3.40196i −0.152394 0.234758i
\(211\) −22.9716 + 13.2627i −1.58143 + 0.913040i −0.586781 + 0.809745i \(0.699605\pi\)
−0.994651 + 0.103295i \(0.967061\pi\)
\(212\) 6.64114 + 11.5028i 0.456115 + 0.790015i
\(213\) −0.484928 9.28446i −0.0332267 0.636161i
\(214\) −6.09204 10.5517i −0.416443 0.721301i
\(215\) 6.53452 + 3.77271i 0.445651 + 0.257297i
\(216\) −0.810128 5.13261i −0.0551222 0.349230i
\(217\) 4.80309i 0.326055i
\(218\) −0.624429 0.360514i −0.0422917 0.0244171i
\(219\) −1.04985 20.1006i −0.0709426 1.35827i
\(220\) 2.39841 0.161701
\(221\) 1.32672 0.0892448
\(222\) −9.81735 + 0.512760i −0.658897 + 0.0344142i
\(223\) −13.2112 + 7.62747i −0.884685 + 0.510773i −0.872200 0.489149i \(-0.837307\pi\)
−0.0124845 + 0.999922i \(0.503974\pi\)
\(224\) 1.17084 2.02795i 0.0782300 0.135498i
\(225\) 2.98368 0.312528i 0.198912 0.0208352i
\(226\) 4.99753 + 8.65597i 0.332430 + 0.575786i
\(227\) 1.74109 0.115560 0.0577800 0.998329i \(-0.481598\pi\)
0.0577800 + 0.998329i \(0.481598\pi\)
\(228\) 2.55684 + 7.10370i 0.169331 + 0.470454i
\(229\) −16.6454 −1.09996 −0.549979 0.835179i \(-0.685364\pi\)
−0.549979 + 0.835179i \(0.685364\pi\)
\(230\) −1.03946 1.80040i −0.0685400 0.118715i
\(231\) −4.41784 + 8.66670i −0.290672 + 0.570227i
\(232\) 0.313727 0.543392i 0.0205972 0.0356754i
\(233\) 7.51278 4.33751i 0.492179 0.284160i −0.233299 0.972405i \(-0.574952\pi\)
0.725478 + 0.688245i \(0.241619\pi\)
\(234\) 1.16216 0.843728i 0.0759727 0.0551563i
\(235\) −2.24461 −0.146422
\(236\) 6.27539 0.408493
\(237\) 20.2902 1.05976i 1.31799 0.0688388i
\(238\) −5.62033 3.24490i −0.364312 0.210336i
\(239\) 19.1483i 1.23860i 0.785153 + 0.619302i \(0.212584\pi\)
−0.785153 + 0.619302i \(0.787416\pi\)
\(240\) 0.943085 + 1.45279i 0.0608759 + 0.0937770i
\(241\) −16.6382 9.60606i −1.07176 0.618781i −0.143098 0.989709i \(-0.545706\pi\)
−0.928662 + 0.370928i \(0.879040\pi\)
\(242\) 2.62380 + 4.54456i 0.168665 + 0.292135i
\(243\) −11.0325 + 11.0129i −0.707733 + 0.706480i
\(244\) 1.25195 + 2.16845i 0.0801481 + 0.138821i
\(245\) 1.31336 0.758271i 0.0839078 0.0484442i
\(246\) −3.03992 + 1.97338i −0.193818 + 0.125818i
\(247\) −1.42827 + 1.52125i −0.0908786 + 0.0967947i
\(248\) 2.05113i 0.130247i
\(249\) 8.89508 17.4499i 0.563703 1.10584i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) −10.8299 6.25262i −0.683574 0.394662i 0.117626 0.993058i \(-0.462472\pi\)
−0.801200 + 0.598396i \(0.795805\pi\)
\(252\) −6.98681 + 0.731839i −0.440128 + 0.0461016i
\(253\) −2.49306 + 4.31810i −0.156737 + 0.271477i
\(254\) 11.0708i 0.694646i
\(255\) 4.02630 2.61370i 0.252137 0.163676i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −0.733753 + 1.27090i −0.0457702 + 0.0792764i −0.888003 0.459838i \(-0.847908\pi\)
0.842233 + 0.539114i \(0.181241\pi\)
\(258\) 10.9619 7.11597i 0.682457 0.443021i
\(259\) 13.2908i 0.825852i
\(260\) −0.239356 + 0.414577i −0.0148442 + 0.0257110i
\(261\) −1.87212 + 0.196097i −0.115881 + 0.0121381i
\(262\) −13.3817 7.72594i −0.826725 0.477310i
\(263\) −12.2015 + 7.04453i −0.752376 + 0.434384i −0.826552 0.562861i \(-0.809701\pi\)
0.0741759 + 0.997245i \(0.476367\pi\)
\(264\) 1.88661 3.70106i 0.116113 0.227785i
\(265\) 13.2823i 0.815924i
\(266\) 9.77121 2.95113i 0.599111 0.180946i
\(267\) −14.4512 + 9.38110i −0.884401 + 0.574114i
\(268\) −11.3258 + 6.53894i −0.691832 + 0.399429i
\(269\) 9.48574 + 16.4298i 0.578356 + 1.00174i 0.995668 + 0.0929788i \(0.0296389\pi\)
−0.417312 + 0.908763i \(0.637028\pi\)
\(270\) 1.86471 4.85004i 0.113483 0.295164i
\(271\) 12.6913 + 21.9819i 0.770940 + 1.33531i 0.937048 + 0.349200i \(0.113547\pi\)
−0.166108 + 0.986108i \(0.553120\pi\)
\(272\) 2.40013 + 1.38572i 0.145529 + 0.0840214i
\(273\) −1.05719 1.62856i −0.0639840 0.0985650i
\(274\) 8.75118i 0.528678i
\(275\) 2.07709 + 1.19921i 0.125253 + 0.0723149i
\(276\) −3.59590 + 0.187814i −0.216448 + 0.0113051i
\(277\) 8.10858 0.487198 0.243599 0.969876i \(-0.421672\pi\)
0.243599 + 0.969876i \(0.421672\pi\)
\(278\) 7.49842 0.449726
\(279\) 4.97948 3.61511i 0.298114 0.216431i
\(280\) 2.02795 1.17084i 0.121193 0.0699710i
\(281\) −12.6467 + 21.9047i −0.754438 + 1.30672i 0.191216 + 0.981548i \(0.438757\pi\)
−0.945653 + 0.325176i \(0.894576\pi\)
\(282\) −1.76563 + 3.46373i −0.105142 + 0.206262i
\(283\) 0.496185 + 0.859418i 0.0294952 + 0.0510871i 0.880396 0.474239i \(-0.157277\pi\)
−0.850901 + 0.525326i \(0.823943\pi\)
\(284\) 5.36769 0.318514
\(285\) −1.33756 + 7.43041i −0.0792301 + 0.440139i
\(286\) 1.14815 0.0678916
\(287\) 2.44995 + 4.24344i 0.144616 + 0.250483i
\(288\) 2.98368 0.312528i 0.175815 0.0184159i
\(289\) −4.65958 + 8.07063i −0.274093 + 0.474743i
\(290\) 0.543392 0.313727i 0.0319091 0.0184227i
\(291\) 14.9638 0.781559i 0.877192 0.0458158i
\(292\) 11.6209 0.680062
\(293\) −23.3348 −1.36323 −0.681617 0.731709i \(-0.738723\pi\)
−0.681617 + 0.731709i \(0.738723\pi\)
\(294\) −0.137007 2.62315i −0.00799044 0.152985i
\(295\) 5.43465 + 3.13769i 0.316417 + 0.182684i
\(296\) 5.67577i 0.329898i
\(297\) −12.3101 + 1.94302i −0.714306 + 0.112746i
\(298\) 10.5955 + 6.11734i 0.613783 + 0.354368i
\(299\) −0.497603 0.861873i −0.0287771 0.0498434i
\(300\) 0.0903420 + 1.72969i 0.00521590 + 0.0998639i
\(301\) −8.83447 15.3018i −0.509210 0.881978i
\(302\) −13.9036 + 8.02727i −0.800064 + 0.461917i
\(303\) 4.31311 + 6.64419i 0.247782 + 0.381699i
\(304\) −4.17274 + 1.26026i −0.239323 + 0.0722811i
\(305\) 2.50391i 0.143373i
\(306\) −0.866149 8.26906i −0.0495145 0.472711i
\(307\) −21.4512 + 12.3849i −1.22429 + 0.706842i −0.965829 0.259180i \(-0.916548\pi\)
−0.258458 + 0.966023i \(0.583214\pi\)
\(308\) −4.86387 2.80816i −0.277145 0.160010i
\(309\) −1.80851 + 3.54785i −0.102883 + 0.201830i
\(310\) −1.02556 + 1.77633i −0.0582482 + 0.100889i
\(311\) 11.2512i 0.637999i 0.947755 + 0.318999i \(0.103347\pi\)
−0.947755 + 0.318999i \(0.896653\pi\)
\(312\) 0.451467 + 0.695467i 0.0255593 + 0.0393731i
\(313\) 5.46644 9.46816i 0.308982 0.535172i −0.669158 0.743120i \(-0.733345\pi\)
0.978140 + 0.207948i \(0.0666785\pi\)
\(314\) 0.836254 1.44843i 0.0471926 0.0817399i
\(315\) −6.41668 2.85961i −0.361539 0.161121i
\(316\) 11.7305i 0.659894i
\(317\) 8.95027 15.5023i 0.502697 0.870697i −0.497298 0.867580i \(-0.665674\pi\)
0.999995 0.00311703i \(-0.000992183\pi\)
\(318\) 20.4963 + 10.4479i 1.14937 + 0.585892i
\(319\) −1.30328 0.752448i −0.0729696 0.0421290i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) −18.8016 9.58409i −1.04940 0.534932i
\(322\) 4.86817i 0.271292i
\(323\) 3.49274 + 11.5645i 0.194341 + 0.643464i
\(324\) −6.01743 6.69257i −0.334302 0.371810i
\(325\) −0.414577 + 0.239356i −0.0229966 + 0.0132771i
\(326\) 6.21359 + 10.7622i 0.344139 + 0.596066i
\(327\) −1.24716 + 0.0651391i −0.0689680 + 0.00360220i
\(328\) −1.04624 1.81214i −0.0577688 0.100059i
\(329\) 4.55197 + 2.62808i 0.250958 + 0.144891i
\(330\) 3.48439 2.26191i 0.191809 0.124514i
\(331\) 10.3625i 0.569572i −0.958591 0.284786i \(-0.908077\pi\)
0.958591 0.284786i \(-0.0919226\pi\)
\(332\) 9.79314 + 5.65407i 0.537468 + 0.310308i
\(333\) −13.7789 + 10.0035i −0.755081 + 0.548190i
\(334\) 0.273631 0.0149724
\(335\) −13.0779 −0.714521
\(336\) −0.211552 4.05038i −0.0115411 0.220967i
\(337\) −23.7499 + 13.7120i −1.29374 + 0.746939i −0.979315 0.202344i \(-0.935144\pi\)
−0.314422 + 0.949283i \(0.601811\pi\)
\(338\) 6.38542 11.0599i 0.347321 0.601577i
\(339\) 15.4237 + 7.86219i 0.837698 + 0.427015i
\(340\) 1.38572 + 2.40013i 0.0751510 + 0.130165i
\(341\) 4.91946 0.266404
\(342\) 10.4139 + 7.90884i 0.563122 + 0.427661i
\(343\) −19.9430 −1.07682
\(344\) 3.77271 + 6.53452i 0.203411 + 0.352318i
\(345\) −3.20804 1.63530i −0.172715 0.0880414i
\(346\) 12.1946 21.1216i 0.655585 1.13551i
\(347\) 22.5112 12.9969i 1.20847 0.697709i 0.246042 0.969259i \(-0.420870\pi\)
0.962424 + 0.271551i \(0.0875364\pi\)
\(348\) −0.0566855 1.08530i −0.00303866 0.0581784i
\(349\) 8.16697 0.437168 0.218584 0.975818i \(-0.429856\pi\)
0.218584 + 0.975818i \(0.429856\pi\)
\(350\) 2.34168 0.125168
\(351\) 0.892662 2.32177i 0.0476468 0.123927i
\(352\) 2.07709 + 1.19921i 0.110709 + 0.0639180i
\(353\) 23.1015i 1.22957i −0.788696 0.614783i \(-0.789243\pi\)
0.788696 0.614783i \(-0.210757\pi\)
\(354\) 9.11681 5.91823i 0.484553 0.314550i
\(355\) 4.64856 + 2.68385i 0.246720 + 0.142444i
\(356\) −4.97362 8.61457i −0.263602 0.456571i
\(357\) −11.2254 + 0.586301i −0.594109 + 0.0310304i
\(358\) −10.0385 17.3871i −0.530549 0.918937i
\(359\) −17.3948 + 10.0429i −0.918063 + 0.530044i −0.883017 0.469342i \(-0.844491\pi\)
−0.0350462 + 0.999386i \(0.511158\pi\)
\(360\) 2.74020 + 1.22118i 0.144421 + 0.0643619i
\(361\) −17.0202 8.44477i −0.895798 0.444462i
\(362\) 11.7841i 0.619361i
\(363\) 8.09774 + 4.12781i 0.425021 + 0.216654i
\(364\) 0.970806 0.560495i 0.0508841 0.0293779i
\(365\) 10.0640 + 5.81045i 0.526773 + 0.304133i
\(366\) 3.86385 + 1.96959i 0.201967 + 0.102952i
\(367\) 4.83084 8.36726i 0.252168 0.436768i −0.711955 0.702226i \(-0.752190\pi\)
0.964122 + 0.265458i \(0.0855231\pi\)
\(368\) 2.07892i 0.108371i
\(369\) −2.55529 + 5.73381i −0.133023 + 0.298490i
\(370\) 2.83789 4.91536i 0.147535 0.255538i
\(371\) 15.5514 26.9358i 0.807389 1.39844i
\(372\) 1.93439 + 2.97985i 0.100293 + 0.154498i
\(373\) 16.8317i 0.871515i −0.900064 0.435757i \(-0.856481\pi\)
0.900064 0.435757i \(-0.143519\pi\)
\(374\) 3.32352 5.75651i 0.171855 0.297662i
\(375\) −0.786608 + 1.54313i −0.0406203 + 0.0796868i
\(376\) −1.94389 1.12231i −0.100249 0.0578785i
\(377\) 0.260128 0.150185i 0.0133973 0.00773493i
\(378\) −9.46016 + 7.65236i −0.486578 + 0.393595i
\(379\) 31.6110i 1.62375i 0.583834 + 0.811873i \(0.301552\pi\)
−0.583834 + 0.811873i \(0.698448\pi\)
\(380\) −4.24383 0.994947i −0.217704 0.0510397i
\(381\) 10.4407 + 16.0836i 0.534895 + 0.823986i
\(382\) −6.38163 + 3.68444i −0.326513 + 0.188512i
\(383\) 14.8637 + 25.7447i 0.759500 + 1.31549i 0.943106 + 0.332493i \(0.107890\pi\)
−0.183605 + 0.983000i \(0.558777\pi\)
\(384\) 0.0903420 + 1.72969i 0.00461024 + 0.0882680i
\(385\) −2.80816 4.86387i −0.143117 0.247886i
\(386\) −6.47095 3.73601i −0.329363 0.190158i
\(387\) 9.21432 20.6760i 0.468390 1.05102i
\(388\) 8.65112i 0.439194i
\(389\) 6.06103 + 3.49934i 0.307307 + 0.177424i 0.645721 0.763574i \(-0.276557\pi\)
−0.338414 + 0.940997i \(0.609890\pi\)
\(390\) 0.0432478 + 0.828026i 0.00218994 + 0.0419287i
\(391\) −5.76159 −0.291376
\(392\) 1.51654 0.0765970
\(393\) −26.7270 + 1.39595i −1.34820 + 0.0704165i
\(394\) 17.5258 10.1185i 0.882935 0.509763i
\(395\) −5.86527 + 10.1589i −0.295114 + 0.511152i
\(396\) −0.749571 7.15609i −0.0376674 0.359607i
\(397\) 14.8564 + 25.7320i 0.745621 + 1.29145i 0.949904 + 0.312542i \(0.101180\pi\)
−0.204283 + 0.978912i \(0.565486\pi\)
\(398\) −11.2461 −0.563717
\(399\) 11.4123 13.5024i 0.571330 0.675968i
\(400\) −1.00000 −0.0500000
\(401\) −14.8000 25.6344i −0.739079 1.28012i −0.952910 0.303252i \(-0.901928\pi\)
0.213831 0.976871i \(-0.431406\pi\)
\(402\) −10.2872 + 20.1809i −0.513077 + 1.00653i
\(403\) −0.490951 + 0.850351i −0.0244560 + 0.0423590i
\(404\) −3.96069 + 2.28671i −0.197052 + 0.113768i
\(405\) −1.86496 8.80465i −0.0926708 0.437507i
\(406\) −1.46930 −0.0729200
\(407\) −13.6129 −0.674764
\(408\) 4.79373 0.250377i 0.237325 0.0123955i
\(409\) −1.05270 0.607777i −0.0520527 0.0300526i 0.473748 0.880661i \(-0.342901\pi\)
−0.525800 + 0.850608i \(0.676234\pi\)
\(410\) 2.09248i 0.103340i
\(411\) −8.25310 12.7136i −0.407096 0.627116i
\(412\) −1.99110 1.14956i −0.0980947 0.0566350i
\(413\) −7.34747 12.7262i −0.361545 0.626215i
\(414\) −5.04695 + 3.66409i −0.248044 + 0.180080i
\(415\) 5.65407 + 9.79314i 0.277547 + 0.480726i
\(416\) −0.414577 + 0.239356i −0.0203263 + 0.0117354i
\(417\) 10.8936 7.07165i 0.533463 0.346300i
\(418\) 3.02264 + 10.0080i 0.147842 + 0.489505i
\(419\) 3.26405i 0.159459i −0.996817 0.0797297i \(-0.974594\pi\)
0.996817 0.0797297i \(-0.0254057\pi\)
\(420\) 1.84198 3.61351i 0.0898796 0.176321i
\(421\) −18.4508 + 10.6526i −0.899236 + 0.519174i −0.876952 0.480578i \(-0.840427\pi\)
−0.0222837 + 0.999752i \(0.507094\pi\)
\(422\) −22.9716 13.2627i −1.11824 0.645617i
\(423\) 0.701504 + 6.69720i 0.0341083 + 0.325629i
\(424\) −6.64114 + 11.5028i −0.322522 + 0.558625i
\(425\) 2.77143i 0.134434i
\(426\) 7.79812 5.06219i 0.377820 0.245264i
\(427\) 2.93167 5.07781i 0.141874 0.245732i
\(428\) 6.09204 10.5517i 0.294470 0.510037i
\(429\) 1.66802 1.08280i 0.0805327 0.0522783i
\(430\) 7.54542i 0.363872i
\(431\) −2.14280 + 3.71143i −0.103215 + 0.178774i −0.913007 0.407943i \(-0.866246\pi\)
0.809793 + 0.586716i \(0.199580\pi\)
\(432\) 4.03991 3.26790i 0.194370 0.157227i
\(433\) 18.0367 + 10.4135i 0.866789 + 0.500441i 0.866280 0.499559i \(-0.166505\pi\)
0.000509428 1.00000i \(0.499838\pi\)
\(434\) 4.15959 2.40154i 0.199667 0.115278i
\(435\) 0.493561 0.968244i 0.0236644 0.0464237i
\(436\) 0.721029i 0.0345310i
\(437\) 6.20259 6.60638i 0.296710 0.316026i
\(438\) 16.8827 10.9595i 0.806686 0.523665i
\(439\) 14.9323 8.62117i 0.712680 0.411466i −0.0993728 0.995050i \(-0.531684\pi\)
0.812052 + 0.583584i \(0.198350\pi\)
\(440\) 1.19921 + 2.07709i 0.0571700 + 0.0990213i
\(441\) −2.67290 3.68167i −0.127281 0.175318i
\(442\) 0.663360 + 1.14897i 0.0315528 + 0.0546510i
\(443\) 19.6711 + 11.3571i 0.934602 + 0.539592i 0.888264 0.459333i \(-0.151912\pi\)
0.0463376 + 0.998926i \(0.485245\pi\)
\(444\) −5.35274 8.24569i −0.254030 0.391323i
\(445\) 9.94725i 0.471545i
\(446\) −13.2112 7.62747i −0.625566 0.361171i
\(447\) 21.1622 1.10530i 1.00094 0.0522791i
\(448\) 2.34168 0.110634
\(449\) 24.4007 1.15154 0.575770 0.817612i \(-0.304702\pi\)
0.575770 + 0.817612i \(0.304702\pi\)
\(450\) 1.76250 + 2.42768i 0.0830848 + 0.114442i
\(451\) −4.34626 + 2.50931i −0.204657 + 0.118159i
\(452\) −4.99753 + 8.65597i −0.235064 + 0.407142i
\(453\) −12.6286 + 24.7742i −0.593345 + 1.16399i
\(454\) 0.870543 + 1.50782i 0.0408566 + 0.0707657i
\(455\) 1.12099 0.0525528
\(456\) −4.87356 + 5.76614i −0.228225 + 0.270024i
\(457\) 5.57921 0.260984 0.130492 0.991449i \(-0.458344\pi\)
0.130492 + 0.991449i \(0.458344\pi\)
\(458\) −8.32269 14.4153i −0.388894 0.673584i
\(459\) −9.05675 11.1963i −0.422733 0.522600i
\(460\) 1.03946 1.80040i 0.0484651 0.0839440i
\(461\) 13.2971 7.67711i 0.619310 0.357559i −0.157291 0.987552i \(-0.550276\pi\)
0.776600 + 0.629994i \(0.216943\pi\)
\(462\) −9.71450 + 0.507389i −0.451960 + 0.0236059i
\(463\) 29.0927 1.35205 0.676027 0.736877i \(-0.263700\pi\)
0.676027 + 0.736877i \(0.263700\pi\)
\(464\) 0.627455 0.0291289
\(465\) 0.185303 + 3.54782i 0.00859322 + 0.164526i
\(466\) 7.51278 + 4.33751i 0.348023 + 0.200931i
\(467\) 30.7109i 1.42113i −0.703630 0.710567i \(-0.748439\pi\)
0.703630 0.710567i \(-0.251561\pi\)
\(468\) 1.31177 + 0.584595i 0.0606366 + 0.0270229i
\(469\) 26.5213 + 15.3121i 1.22464 + 0.707047i
\(470\) −1.12231 1.94389i −0.0517681 0.0896650i
\(471\) −0.151098 2.89293i −0.00696221 0.133299i
\(472\) 3.13769 + 5.43465i 0.144424 + 0.250150i
\(473\) 15.6725 9.04852i 0.720622 0.416051i
\(474\) 11.0629 + 17.0420i 0.508135 + 0.782764i
\(475\) −3.17779 2.98356i −0.145807 0.136895i
\(476\) 6.48980i 0.297460i
\(477\) 39.6300 4.15108i 1.81453 0.190065i
\(478\) −16.5830 + 9.57417i −0.758487 + 0.437912i
\(479\) −22.3097 12.8805i −1.01935 0.588525i −0.105438 0.994426i \(-0.533624\pi\)
−0.913917 + 0.405901i \(0.866958\pi\)
\(480\) −0.786608 + 1.54313i −0.0359036 + 0.0704339i
\(481\) 1.35853 2.35305i 0.0619437 0.107290i
\(482\) 19.2121i 0.875088i
\(483\) 4.59109 + 7.07241i 0.208902 + 0.321806i
\(484\) −2.62380 + 4.54456i −0.119264 + 0.206571i
\(485\) −4.32556 + 7.49209i −0.196413 + 0.340198i
\(486\) −15.0537 4.04793i −0.682850 0.183618i
\(487\) 19.2342i 0.871583i 0.900048 + 0.435791i \(0.143531\pi\)
−0.900048 + 0.435791i \(0.856469\pi\)
\(488\) −1.25195 + 2.16845i −0.0566733 + 0.0981610i
\(489\) 19.1767 + 9.77532i 0.867202 + 0.442055i
\(490\) 1.31336 + 0.758271i 0.0593318 + 0.0342552i
\(491\) −18.7155 + 10.8054i −0.844619 + 0.487641i −0.858832 0.512258i \(-0.828809\pi\)
0.0142124 + 0.999899i \(0.495476\pi\)
\(492\) −3.22896 1.64596i −0.145573 0.0742056i
\(493\) 1.73895i 0.0783183i
\(494\) −2.03157 0.476294i −0.0914048 0.0214295i
\(495\) 2.92890 6.57214i 0.131644 0.295396i
\(496\) −1.77633 + 1.02556i −0.0797596 + 0.0460492i
\(497\) −6.28470 10.8854i −0.281908 0.488278i
\(498\) 19.5596 1.02160i 0.876488 0.0457790i
\(499\) −9.49912 16.4530i −0.425239 0.736535i 0.571204 0.820808i \(-0.306477\pi\)
−0.996443 + 0.0842728i \(0.973143\pi\)
\(500\) −0.866025 0.500000i −0.0387298 0.0223607i
\(501\) 0.397527 0.258057i 0.0177602 0.0115291i
\(502\) 12.5052i 0.558136i
\(503\) −17.2526 9.96081i −0.769256 0.444130i 0.0633529 0.997991i \(-0.479821\pi\)
−0.832609 + 0.553861i \(0.813154\pi\)
\(504\) −4.12720 5.68484i −0.183840 0.253223i
\(505\) −4.57341 −0.203514
\(506\) −4.98612 −0.221660
\(507\) −1.15374 22.0896i −0.0512395 0.981035i
\(508\) −9.58763 + 5.53542i −0.425382 + 0.245594i
\(509\) −15.7560 + 27.2902i −0.698372 + 1.20962i 0.270658 + 0.962675i \(0.412759\pi\)
−0.969031 + 0.246941i \(0.920575\pi\)
\(510\) 4.27668 + 2.18003i 0.189374 + 0.0965334i
\(511\) −13.6062 23.5666i −0.601903 1.04253i
\(512\) −1.00000 −0.0441942
\(513\) 22.5880 + 1.66863i 0.997283 + 0.0736718i
\(514\) −1.46751 −0.0647289
\(515\) −1.14956 1.99110i −0.0506559 0.0877385i
\(516\) 11.6436 + 5.93529i 0.512579 + 0.261286i
\(517\) −2.69176 + 4.66226i −0.118383 + 0.205046i
\(518\) −11.5102 + 6.64542i −0.505729 + 0.291983i
\(519\) −2.20336 42.1858i −0.0967170 1.85175i
\(520\) −0.478712 −0.0209929
\(521\) 11.3505 0.497273 0.248637 0.968597i \(-0.420018\pi\)
0.248637 + 0.968597i \(0.420018\pi\)
\(522\) −1.10589 1.52326i −0.0484033 0.0666712i
\(523\) 31.9970 + 18.4735i 1.39913 + 0.807788i 0.994301 0.106605i \(-0.0339980\pi\)
0.404828 + 0.914393i \(0.367331\pi\)
\(524\) 15.4519i 0.675018i
\(525\) 3.40196 2.20840i 0.148474 0.0963825i
\(526\) −12.2015 7.04453i −0.532010 0.307156i
\(527\) 2.84228 + 4.92298i 0.123812 + 0.214448i
\(528\) 4.14852 0.216677i 0.180541 0.00942968i
\(529\) −9.33904 16.1757i −0.406045 0.703291i
\(530\) −11.5028 + 6.64114i −0.499649 + 0.288473i
\(531\) 7.66339 17.1958i 0.332563 0.746236i
\(532\) 7.44136 + 6.98655i 0.322624 + 0.302905i
\(533\) 1.00169i 0.0433882i
\(534\) −15.3499 7.82459i −0.664255 0.338603i
\(535\) 10.5517 6.09204i 0.456191 0.263382i
\(536\) −11.3258 6.53894i −0.489199 0.282439i
\(537\) −30.9813 15.7927i −1.33694 0.681503i
\(538\) −9.48574 + 16.4298i −0.408959 + 0.708339i
\(539\) 3.63730i 0.156670i
\(540\) 5.13261 0.810128i 0.220872 0.0348624i
\(541\) 15.2223 26.3657i 0.654456 1.13355i −0.327574 0.944826i \(-0.606231\pi\)
0.982030 0.188725i \(-0.0604356\pi\)
\(542\) −12.6913 + 21.9819i −0.545137 + 0.944205i
\(543\) 11.1134 + 17.1198i 0.476924 + 0.734683i
\(544\) 2.77143i 0.118824i
\(545\) 0.360514 0.624429i 0.0154427 0.0267476i
\(546\) 0.881780 1.72983i 0.0377367 0.0740300i
\(547\) −7.08775 4.09212i −0.303050 0.174966i 0.340762 0.940150i \(-0.389315\pi\)
−0.643812 + 0.765183i \(0.722648\pi\)
\(548\) 7.57874 4.37559i 0.323748 0.186916i
\(549\) 7.47085 0.782541i 0.318848 0.0333980i
\(550\) 2.39841i 0.102269i
\(551\) 1.99392 + 1.87205i 0.0849438 + 0.0797521i
\(552\) −1.96060 3.02023i −0.0834487 0.128550i
\(553\) 23.7890 13.7346i 1.01161 0.584053i
\(554\) 4.05429 + 7.02224i 0.172250 + 0.298346i
\(555\) −0.512760 9.81735i −0.0217655 0.416723i
\(556\) 3.74921 + 6.49383i 0.159002 + 0.275400i
\(557\) 1.37346 + 0.792970i 0.0581956 + 0.0335992i 0.528815 0.848737i \(-0.322636\pi\)
−0.470620 + 0.882336i \(0.655970\pi\)
\(558\) 5.62051 + 2.50480i 0.237935 + 0.106037i
\(559\) 3.61209i 0.152775i
\(560\) 2.02795 + 1.17084i 0.0856966 + 0.0494770i
\(561\) −0.600507 11.4973i −0.0253534 0.485418i
\(562\) −25.2934 −1.06694
\(563\) 12.2083 0.514519 0.257260 0.966342i \(-0.417180\pi\)
0.257260 + 0.966342i \(0.417180\pi\)
\(564\) −3.88249 + 0.202783i −0.163482 + 0.00853869i
\(565\) −8.65597 + 4.99753i −0.364159 + 0.210247i
\(566\) −0.496185 + 0.859418i −0.0208562 + 0.0361240i
\(567\) −6.52677 + 20.0390i −0.274099 + 0.841559i
\(568\) 2.68385 + 4.64856i 0.112612 + 0.195049i
\(569\) 30.1807 1.26524 0.632620 0.774462i \(-0.281979\pi\)
0.632620 + 0.774462i \(0.281979\pi\)
\(570\) −7.10370 + 2.55684i −0.297541 + 0.107094i
\(571\) −35.1445 −1.47075 −0.735375 0.677660i \(-0.762994\pi\)
−0.735375 + 0.677660i \(0.762994\pi\)
\(572\) 0.574075 + 0.994328i 0.0240033 + 0.0415749i
\(573\) −5.79641 + 11.3711i −0.242149 + 0.475035i
\(574\) −2.44995 + 4.24344i −0.102259 + 0.177118i
\(575\) 1.80040 1.03946i 0.0750818 0.0433485i
\(576\) 1.76250 + 2.42768i 0.0734373 + 0.101153i
\(577\) 3.33452 0.138818 0.0694088 0.997588i \(-0.477889\pi\)
0.0694088 + 0.997588i \(0.477889\pi\)
\(578\) −9.31916 −0.387626
\(579\) −12.9243 + 0.675036i −0.537115 + 0.0280536i
\(580\) 0.543392 + 0.313727i 0.0225631 + 0.0130268i
\(581\) 26.4800i 1.09858i
\(582\) 8.15874 + 12.5682i 0.338191 + 0.520970i
\(583\) 27.5885 + 15.9282i 1.14260 + 0.659679i
\(584\) 5.81045 + 10.0640i 0.240438 + 0.416451i
\(585\) 0.843728 + 1.16216i 0.0348839 + 0.0480493i
\(586\) −11.6674 20.2085i −0.481976 0.834807i
\(587\) 6.62612 3.82559i 0.273489 0.157899i −0.356983 0.934111i \(-0.616195\pi\)
0.630472 + 0.776212i \(0.282861\pi\)
\(588\) 2.20321 1.43023i 0.0908590 0.0589816i
\(589\) −8.70464 2.04077i −0.358668 0.0840883i
\(590\) 6.27539i 0.258354i
\(591\) 15.9186 31.2283i 0.654803 1.28456i
\(592\) 4.91536 2.83789i 0.202020 0.116636i
\(593\) −16.7538 9.67281i −0.687996 0.397215i 0.114865 0.993381i \(-0.463357\pi\)
−0.802861 + 0.596166i \(0.796690\pi\)
\(594\) −7.83777 9.68937i −0.321588 0.397560i
\(595\) 3.24490 5.62033i 0.133028 0.230411i
\(596\) 12.2347i 0.501152i
\(597\) −16.3382 + 10.6060i −0.668678 + 0.434076i
\(598\) 0.497603 0.861873i 0.0203485 0.0352446i
\(599\) −0.00576144 + 0.00997910i −0.000235406 + 0.000407735i −0.866143 0.499796i \(-0.833408\pi\)
0.865908 + 0.500204i \(0.166742\pi\)
\(600\) −1.45279 + 0.943085i −0.0593098 + 0.0385013i
\(601\) 19.6294i 0.800698i −0.916363 0.400349i \(-0.868889\pi\)
0.916363 0.400349i \(-0.131111\pi\)
\(602\) 8.83447 15.3018i 0.360066 0.623653i
\(603\) 4.08720 + 39.0202i 0.166444 + 1.58902i
\(604\) −13.9036 8.02727i −0.565731 0.326625i
\(605\) −4.54456 + 2.62380i −0.184763 + 0.106673i
\(606\) −3.59748 + 7.05736i −0.146138 + 0.286686i
\(607\) 48.4715i 1.96740i −0.179821 0.983699i \(-0.557552\pi\)
0.179821 0.983699i \(-0.442448\pi\)
\(608\) −3.17779 2.98356i −0.128876 0.120999i
\(609\) −2.13458 + 1.38567i −0.0864974 + 0.0561503i
\(610\) −2.16845 + 1.25195i −0.0877979 + 0.0506901i
\(611\) −0.537262 0.930565i −0.0217353 0.0376466i
\(612\) 6.72814 4.88464i 0.271969 0.197450i
\(613\) 17.8645 + 30.9422i 0.721539 + 1.24974i 0.960383 + 0.278685i \(0.0898985\pi\)
−0.238843 + 0.971058i \(0.576768\pi\)
\(614\) −21.4512 12.3849i −0.865702 0.499813i
\(615\) −1.97338 3.03992i −0.0795745 0.122582i
\(616\) 5.61632i 0.226288i
\(617\) 28.5725 + 16.4963i 1.15028 + 0.664117i 0.948957 0.315407i \(-0.102141\pi\)
0.201328 + 0.979524i \(0.435474\pi\)
\(618\) −3.97679 + 0.207708i −0.159970 + 0.00835524i
\(619\) −33.4945 −1.34626 −0.673129 0.739525i \(-0.735050\pi\)
−0.673129 + 0.739525i \(0.735050\pi\)
\(620\) −2.05113 −0.0823753
\(621\) −3.87659 + 10.0828i −0.155562 + 0.404611i
\(622\) −9.74385 + 5.62562i −0.390693 + 0.225567i
\(623\) −11.6466 + 20.1725i −0.466612 + 0.808196i
\(624\) −0.376559 + 0.738715i −0.0150744 + 0.0295723i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 10.9329 0.436966
\(627\) 13.8296 + 11.6888i 0.552301 + 0.466807i
\(628\) 1.67251 0.0667404
\(629\) −7.86501 13.6226i −0.313598 0.543169i
\(630\) −0.731839 6.98681i −0.0291572 0.278361i
\(631\) −11.0092 + 19.0686i −0.438271 + 0.759108i −0.997556 0.0698675i \(-0.977742\pi\)
0.559285 + 0.828975i \(0.311076\pi\)
\(632\) −10.1589 + 5.86527i −0.404101 + 0.233308i
\(633\) −45.8807 + 2.39635i −1.82359 + 0.0952465i
\(634\) 17.9005 0.710921
\(635\) −11.0708 −0.439333
\(636\) 1.19995 + 22.9743i 0.0475810 + 0.910989i
\(637\) 0.628724 + 0.362994i 0.0249110 + 0.0143823i
\(638\) 1.50490i 0.0595794i
\(639\) 6.55493 14.7086i 0.259309 0.581862i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) 7.33431 + 12.7034i 0.289688 + 0.501754i 0.973735 0.227684i \(-0.0731152\pi\)
−0.684047 + 0.729438i \(0.739782\pi\)
\(642\) −1.10073 21.0747i −0.0434425 0.831752i
\(643\) −15.3180 26.5315i −0.604082 1.04630i −0.992196 0.124690i \(-0.960207\pi\)
0.388114 0.921612i \(-0.373127\pi\)
\(644\) −4.21595 + 2.43408i −0.166132 + 0.0959163i
\(645\) 7.11597 + 10.9619i 0.280191 + 0.431624i
\(646\) −8.26874 + 8.80703i −0.325329 + 0.346508i
\(647\) 9.82606i 0.386302i 0.981169 + 0.193151i \(0.0618707\pi\)
−0.981169 + 0.193151i \(0.938129\pi\)
\(648\) 2.78722 8.55753i 0.109492 0.336172i
\(649\) 13.0345 7.52549i 0.511650 0.295401i
\(650\) −0.414577 0.239356i −0.0162611 0.00938832i
\(651\) 3.77815 7.41178i 0.148077 0.290491i
\(652\) −6.21359 + 10.7622i −0.243343 + 0.421482i
\(653\) 31.4026i 1.22888i −0.788964 0.614440i \(-0.789382\pi\)
0.788964 0.614440i \(-0.210618\pi\)
\(654\) −0.679991 1.04750i −0.0265898 0.0409605i
\(655\) 7.72594 13.3817i 0.301877 0.522867i
\(656\) 1.04624 1.81214i 0.0408487 0.0707521i
\(657\) 14.1912 31.8436i 0.553652 1.24234i
\(658\) 5.25616i 0.204906i
\(659\) 1.68244 2.91407i 0.0655385 0.113516i −0.831394 0.555683i \(-0.812457\pi\)
0.896933 + 0.442167i \(0.145790\pi\)
\(660\) 3.70106 + 1.88661i 0.144064 + 0.0734363i
\(661\) −6.16334 3.55840i −0.239726 0.138406i 0.375325 0.926893i \(-0.377531\pi\)
−0.615051 + 0.788487i \(0.710865\pi\)
\(662\) 8.97416 5.18123i 0.348790 0.201374i
\(663\) 2.04730 + 1.04361i 0.0795105 + 0.0405304i
\(664\) 11.3081i 0.438841i
\(665\) 2.95113 + 9.77121i 0.114440 + 0.378911i
\(666\) −15.5528 6.93115i −0.602658 0.268577i
\(667\) −1.12967 + 0.652215i −0.0437410 + 0.0252539i
\(668\) 0.136815 + 0.236971i 0.00529355 + 0.00916869i
\(669\) −26.3864 + 1.37816i −1.02016 + 0.0532828i
\(670\) −6.53894 11.3258i −0.252621 0.437553i
\(671\) 5.20084 + 3.00270i 0.200776 + 0.115918i
\(672\) 3.40196 2.20840i 0.131233 0.0851909i
\(673\) 26.5117i 1.02195i 0.859596 + 0.510975i \(0.170716\pi\)
−0.859596 + 0.510975i \(0.829284\pi\)
\(674\) −23.7499 13.7120i −0.914810 0.528166i
\(675\) 4.85004 + 1.86471i 0.186678 + 0.0717729i
\(676\) 12.7708 0.491186
\(677\) 42.3166 1.62636 0.813179 0.582013i \(-0.197735\pi\)
0.813179 + 0.582013i \(0.197735\pi\)
\(678\) 0.902972 + 17.2884i 0.0346784 + 0.663956i
\(679\) 17.5441 10.1291i 0.673279 0.388718i
\(680\) −1.38572 + 2.40013i −0.0531398 + 0.0920408i
\(681\) 2.68672 + 1.36955i 0.102955 + 0.0524813i
\(682\) 2.45973 + 4.26038i 0.0941879 + 0.163138i
\(683\) −11.0677 −0.423493 −0.211746 0.977325i \(-0.567915\pi\)
−0.211746 + 0.977325i \(0.567915\pi\)
\(684\) −1.64229 + 12.9732i −0.0627944 + 0.496041i
\(685\) 8.75118 0.334365
\(686\) −9.97150 17.2711i −0.380714 0.659415i
\(687\) −25.6860 13.0934i −0.979981 0.499544i
\(688\) −3.77271 + 6.53452i −0.143833 + 0.249126i
\(689\) −5.50653 + 3.17920i −0.209782 + 0.121118i
\(690\) −0.187814 3.59590i −0.00714995 0.136893i
\(691\) 20.2406 0.769990 0.384995 0.922919i \(-0.374203\pi\)
0.384995 + 0.922919i \(0.374203\pi\)
\(692\) 24.3892 0.927137
\(693\) −13.6346 + 9.89873i −0.517935 + 0.376022i
\(694\) 22.5112 + 12.9969i 0.854515 + 0.493354i
\(695\) 7.49842i 0.284431i
\(696\) 0.911558 0.591743i 0.0345525 0.0224300i
\(697\) −5.02222 2.89958i −0.190230 0.109829i
\(698\) 4.08348 + 7.07280i 0.154562 + 0.267710i
\(699\) 15.0051 0.783718i 0.567545 0.0296429i
\(700\) 1.17084 + 2.02795i 0.0442536 + 0.0766494i
\(701\) 12.8127 7.39742i 0.483929 0.279397i −0.238123 0.971235i \(-0.576532\pi\)
0.722053 + 0.691838i \(0.243199\pi\)
\(702\) 2.45704 0.387819i 0.0927352 0.0146373i
\(703\) 24.0870 + 5.64709i 0.908459 + 0.212984i
\(704\) 2.39841i 0.0903936i
\(705\) −3.46373 1.76563i −0.130452 0.0664975i
\(706\) 20.0065 11.5507i 0.752953 0.434718i
\(707\) 9.27466 + 5.35473i 0.348810 + 0.201385i
\(708\) 9.68374 + 4.93627i 0.363937 + 0.185516i
\(709\) −0.506440 + 0.877179i −0.0190197 + 0.0329432i −0.875379 0.483438i \(-0.839388\pi\)
0.856359 + 0.516381i \(0.172721\pi\)
\(710\) 5.36769i 0.201446i
\(711\) 32.1440 + 14.3251i 1.20550 + 0.537234i
\(712\) 4.97362 8.61457i 0.186394 0.322845i
\(713\) 2.13207 3.69285i 0.0798466 0.138298i
\(714\) −6.12044 9.42830i −0.229052 0.352845i
\(715\) 1.14815i 0.0429384i
\(716\) 10.0385 17.3871i 0.375155 0.649787i
\(717\) −15.0622 + 29.5484i −0.562510 + 1.10350i
\(718\) −17.3948 10.0429i −0.649168 0.374798i
\(719\) −2.95761 + 1.70758i −0.110300 + 0.0636819i −0.554135 0.832427i \(-0.686951\pi\)
0.443835 + 0.896109i \(0.353618\pi\)
\(720\) 0.312528 + 2.98368i 0.0116472 + 0.111195i
\(721\) 5.38382i 0.200504i
\(722\) −1.19670 18.9623i −0.0445364 0.705703i
\(723\) −18.1187 27.9111i −0.673840 1.03803i
\(724\) −10.2054 + 5.89207i −0.379279 + 0.218977i
\(725\) 0.313727 + 0.543392i 0.0116515 + 0.0201811i
\(726\) 0.474079 + 9.07675i 0.0175947 + 0.336870i
\(727\) −20.0624 34.7491i −0.744074 1.28877i −0.950626 0.310338i \(-0.899558\pi\)
0.206552 0.978436i \(-0.433776\pi\)
\(728\) 0.970806 + 0.560495i 0.0359805 + 0.0207733i
\(729\) −25.6874 + 8.31615i −0.951385 + 0.308005i
\(730\) 11.6209i 0.430109i
\(731\) 18.1100 + 10.4558i 0.669822 + 0.386722i
\(732\) 0.226208 + 4.33099i 0.00836089 + 0.160078i
\(733\) 42.4761 1.56889 0.784446 0.620197i \(-0.212947\pi\)
0.784446 + 0.620197i \(0.212947\pi\)
\(734\) 9.66168 0.356619
\(735\) 2.62315 0.137007i 0.0967565 0.00505360i
\(736\) 1.80040 1.03946i 0.0663636 0.0383150i
\(737\) −15.6831 + 27.1639i −0.577694 + 1.00060i
\(738\) −6.24327 + 0.653957i −0.229818 + 0.0240725i
\(739\) −25.6660 44.4548i −0.944139 1.63530i −0.757466 0.652874i \(-0.773563\pi\)
−0.186673 0.982422i \(-0.559770\pi\)
\(740\) 5.67577 0.208646
\(741\) −3.40063 + 1.22399i −0.124925 + 0.0449645i
\(742\) 31.1028 1.14182
\(743\) 14.7044 + 25.4688i 0.539454 + 0.934361i 0.998933 + 0.0461730i \(0.0147025\pi\)
−0.459480 + 0.888188i \(0.651964\pi\)
\(744\) −1.61344 + 3.16516i −0.0591514 + 0.116040i
\(745\) −6.11734 + 10.5955i −0.224122 + 0.388190i
\(746\) 14.5767 8.41587i 0.533692 0.308127i
\(747\) 27.4525 19.9306i 1.00443 0.729221i
\(748\) 6.64704 0.243040
\(749\) −28.5312 −1.04251
\(750\) −1.72969 + 0.0903420i −0.0631595 + 0.00329882i
\(751\) 9.26493 + 5.34911i 0.338082 + 0.195192i 0.659424 0.751772i \(-0.270800\pi\)
−0.321342 + 0.946963i \(0.604134\pi\)
\(752\) 2.24461i 0.0818526i
\(753\) −11.7935 18.1675i −0.429779 0.662059i
\(754\) 0.260128 + 0.150185i 0.00947332 + 0.00546942i
\(755\) −8.02727 13.9036i −0.292142 0.506005i
\(756\) −11.3572 4.36656i −0.413058 0.158810i
\(757\) −8.59944 14.8947i −0.312552 0.541356i 0.666362 0.745628i \(-0.267851\pi\)
−0.978914 + 0.204272i \(0.934517\pi\)
\(758\) −27.3759 + 15.8055i −0.994337 + 0.574081i
\(759\) −7.24376 + 4.70233i −0.262932 + 0.170684i
\(760\) −1.26026 4.17274i −0.0457146 0.151361i
\(761\) 35.2476i 1.27772i −0.769321 0.638862i \(-0.779405\pi\)
0.769321 0.638862i \(-0.220595\pi\)
\(762\) −8.70841 + 17.0837i −0.315472 + 0.618878i
\(763\) −1.46221 + 0.844208i −0.0529356 + 0.0305624i
\(764\) −6.38163 3.68444i −0.230879 0.133298i
\(765\) 8.26906 0.866149i 0.298968 0.0313157i
\(766\) −14.8637 + 25.7447i −0.537048 + 0.930194i
\(767\) 3.00411i 0.108472i
\(768\) −1.45279 + 0.943085i −0.0524229 + 0.0340306i
\(769\) −16.3809 + 28.3725i −0.590710 + 1.02314i 0.403427 + 0.915012i \(0.367819\pi\)
−0.994137 + 0.108128i \(0.965514\pi\)
\(770\) 2.80816 4.86387i 0.101199 0.175282i
\(771\) −2.13197 + 1.38398i −0.0767811 + 0.0498429i
\(772\) 7.47201i 0.268924i
\(773\) −9.83728 + 17.0387i −0.353822 + 0.612838i −0.986916 0.161237i \(-0.948452\pi\)
0.633093 + 0.774075i \(0.281785\pi\)
\(774\) 22.5131 2.35815i 0.809216 0.0847620i
\(775\) −1.77633 1.02556i −0.0638077