Properties

Label 552.2.t.a.235.14
Level $552$
Weight $2$
Character 552.235
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 235.14
Character \(\chi\) \(=\) 552.235
Dual form 552.2.t.a.451.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.476922 + 1.33137i) q^{2} +(0.654861 - 0.755750i) q^{3} +(-1.54509 + 1.26992i) q^{4} +(0.175998 - 1.22409i) q^{5} +(1.31850 + 0.511428i) q^{6} +(1.83825 + 4.02520i) q^{7} +(-2.42762 - 1.45143i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(0.476922 + 1.33137i) q^{2} +(0.654861 - 0.755750i) q^{3} +(-1.54509 + 1.26992i) q^{4} +(0.175998 - 1.22409i) q^{5} +(1.31850 + 0.511428i) q^{6} +(1.83825 + 4.02520i) q^{7} +(-2.42762 - 1.45143i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(1.71366 - 0.349478i) q^{10} +(0.205881 + 0.701166i) q^{11} +(-0.0520784 + 1.99932i) q^{12} +(1.90431 + 0.869671i) q^{13} +(-4.48233 + 4.36709i) q^{14} +(-0.809853 - 0.934620i) q^{15} +(0.774611 - 3.92428i) q^{16} +(2.50116 + 3.89187i) q^{17} +(1.24995 - 0.661541i) q^{18} +(0.534105 - 0.831084i) q^{19} +(1.28257 + 2.11484i) q^{20} +(4.24584 + 1.24669i) q^{21} +(-0.835322 + 0.608505i) q^{22} +(-2.21033 + 4.25611i) q^{23} +(-2.68667 + 0.884185i) q^{24} +(3.33004 + 0.977787i) q^{25} +(-0.249644 + 2.95011i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(-7.95193 - 3.88487i) q^{28} +(-2.81514 - 4.38045i) q^{29} +(0.858088 - 1.52396i) q^{30} +(-1.18530 + 1.02706i) q^{31} +(5.59410 - 0.840283i) q^{32} +(0.664729 + 0.303571i) q^{33} +(-3.98867 + 5.18608i) q^{34} +(5.25074 - 1.54176i) q^{35} +(1.47688 + 1.34864i) q^{36} +(0.690569 + 4.80301i) q^{37} +(1.36121 + 0.314729i) q^{38} +(1.90431 - 0.869671i) q^{39} +(-2.20395 + 2.71618i) q^{40} +(0.851099 - 5.91953i) q^{41} +(0.365128 + 6.24735i) q^{42} +(5.62116 + 4.87076i) q^{43} +(-1.20853 - 0.821912i) q^{44} -1.23668 q^{45} +(-6.72061 - 0.912940i) q^{46} +3.21000i q^{47} +(-2.45851 - 3.15527i) q^{48} +(-8.23904 + 9.50836i) q^{49} +(0.286372 + 4.89984i) q^{50} +(4.57919 + 0.658388i) q^{51} +(-4.04675 + 1.07460i) q^{52} +(-4.99279 - 10.9327i) q^{53} +(0.318580 - 1.37786i) q^{54} +(0.894526 - 0.128613i) q^{55} +(1.37975 - 12.4397i) q^{56} +(-0.278327 - 0.947894i) q^{57} +(4.48939 - 5.83713i) q^{58} +(3.58635 - 7.85300i) q^{59} +(2.43819 + 0.415625i) q^{60} +(-6.08332 - 7.02052i) q^{61} +(-1.93270 - 1.08824i) q^{62} +(3.72262 - 2.39238i) q^{63} +(3.78668 + 7.04706i) q^{64} +(1.39971 - 2.17800i) q^{65} +(-0.0871421 + 1.02978i) q^{66} +(-2.30995 + 7.86698i) q^{67} +(-8.80688 - 2.83703i) q^{68} +(1.76909 + 4.45761i) q^{69} +(4.55684 + 6.25538i) q^{70} +(2.19649 - 7.48057i) q^{71} +(-1.09117 + 2.60947i) q^{72} +(-11.2800 - 7.24919i) q^{73} +(-6.06524 + 3.21006i) q^{74} +(2.91967 - 1.87636i) q^{75} +(0.230168 + 1.96237i) q^{76} +(-2.44387 + 2.11763i) q^{77} +(2.06606 + 2.12058i) q^{78} +(6.41315 - 14.0428i) q^{79} +(-4.66735 - 1.63886i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(8.28699 - 1.69002i) q^{82} +(8.31810 - 1.19596i) q^{83} +(-8.14340 + 3.46562i) q^{84} +(5.20421 - 2.37668i) q^{85} +(-3.80393 + 9.80682i) q^{86} +(-5.15405 - 0.741040i) q^{87} +(0.517896 - 2.00099i) q^{88} +(-11.8620 - 10.2785i) q^{89} +(-0.589800 - 1.64648i) q^{90} +9.26391i q^{91} +(-1.98974 - 9.38301i) q^{92} +1.56837i q^{93} +(-4.27370 + 1.53092i) q^{94} +(-0.923322 - 0.800063i) q^{95} +(3.02831 - 4.77800i) q^{96} +(3.23341 + 0.464894i) q^{97} +(-16.5885 - 6.43446i) q^{98} +(0.664729 - 0.303571i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + O(q^{10}) \) \( 240q + 24q^{3} - 4q^{4} + 11q^{6} - 24q^{9} + 4q^{12} - 4q^{16} + 44q^{17} - 55q^{20} - 24q^{25} + 24q^{27} + 33q^{34} + 7q^{36} - 132q^{38} + 11q^{40} - 66q^{42} + 77q^{44} + 37q^{48} - 56q^{49} - 37q^{50} - 55q^{52} - 11q^{54} + 132q^{56} + 37q^{58} + 11q^{60} + 51q^{62} - 4q^{64} - 55q^{66} - 132q^{70} + 144q^{73} + 44q^{74} + 24q^{75} - 55q^{76} - 198q^{80} - 24q^{81} - 26q^{82} + 44q^{84} - 110q^{86} + 22q^{88} - 139q^{92} - 117q^{94} - 209q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{1}{22}\right)\) \(1\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.476922 + 1.33137i 0.337235 + 0.941421i
\(3\) 0.654861 0.755750i 0.378084 0.436332i
\(4\) −1.54509 + 1.26992i −0.772545 + 0.634960i
\(5\) 0.175998 1.22409i 0.0787087 0.547431i −0.911869 0.410481i \(-0.865361\pi\)
0.990578 0.136950i \(-0.0437300\pi\)
\(6\) 1.31850 + 0.511428i 0.538275 + 0.208790i
\(7\) 1.83825 + 4.02520i 0.694792 + 1.52138i 0.846174 + 0.532906i \(0.178900\pi\)
−0.151383 + 0.988475i \(0.548373\pi\)
\(8\) −2.42762 1.45143i −0.858293 0.513160i
\(9\) −0.142315 0.989821i −0.0474383 0.329940i
\(10\) 1.71366 0.349478i 0.541906 0.110515i
\(11\) 0.205881 + 0.701166i 0.0620754 + 0.211409i 0.984690 0.174313i \(-0.0557704\pi\)
−0.922615 + 0.385722i \(0.873952\pi\)
\(12\) −0.0520784 + 1.99932i −0.0150337 + 0.577155i
\(13\) 1.90431 + 0.869671i 0.528162 + 0.241203i 0.661604 0.749853i \(-0.269876\pi\)
−0.133443 + 0.991057i \(0.542603\pi\)
\(14\) −4.48233 + 4.36709i −1.19795 + 1.16715i
\(15\) −0.809853 0.934620i −0.209103 0.241318i
\(16\) 0.774611 3.92428i 0.193653 0.981070i
\(17\) 2.50116 + 3.89187i 0.606619 + 0.943918i 0.999702 + 0.0244150i \(0.00777231\pi\)
−0.393083 + 0.919503i \(0.628591\pi\)
\(18\) 1.24995 0.661541i 0.294615 0.155927i
\(19\) 0.534105 0.831084i 0.122532 0.190664i −0.774568 0.632490i \(-0.782033\pi\)
0.897101 + 0.441826i \(0.145669\pi\)
\(20\) 1.28257 + 2.11484i 0.286790 + 0.472892i
\(21\) 4.24584 + 1.24669i 0.926517 + 0.272050i
\(22\) −0.835322 + 0.608505i −0.178091 + 0.129734i
\(23\) −2.21033 + 4.25611i −0.460886 + 0.887459i
\(24\) −2.68667 + 0.884185i −0.548415 + 0.180484i
\(25\) 3.33004 + 0.977787i 0.666008 + 0.195557i
\(26\) −0.249644 + 2.95011i −0.0489593 + 0.578564i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) −7.95193 3.88487i −1.50277 0.734172i
\(29\) −2.81514 4.38045i −0.522759 0.813429i 0.475025 0.879973i \(-0.342439\pi\)
−0.997784 + 0.0665438i \(0.978803\pi\)
\(30\) 0.858088 1.52396i 0.156665 0.278235i
\(31\) −1.18530 + 1.02706i −0.212885 + 0.184466i −0.754776 0.655983i \(-0.772254\pi\)
0.541890 + 0.840449i \(0.317709\pi\)
\(32\) 5.59410 0.840283i 0.988906 0.148542i
\(33\) 0.664729 + 0.303571i 0.115714 + 0.0528450i
\(34\) −3.98867 + 5.18608i −0.684051 + 0.889406i
\(35\) 5.25074 1.54176i 0.887537 0.260604i
\(36\) 1.47688 + 1.34864i 0.246147 + 0.224773i
\(37\) 0.690569 + 4.80301i 0.113529 + 0.789610i 0.964440 + 0.264301i \(0.0851413\pi\)
−0.850911 + 0.525309i \(0.823950\pi\)
\(38\) 1.36121 + 0.314729i 0.220817 + 0.0510558i
\(39\) 1.90431 0.869671i 0.304934 0.139259i
\(40\) −2.20395 + 2.71618i −0.348474 + 0.429466i
\(41\) 0.851099 5.91953i 0.132919 0.924475i −0.808802 0.588081i \(-0.799884\pi\)
0.941721 0.336394i \(-0.109207\pi\)
\(42\) 0.365128 + 6.24735i 0.0563404 + 0.963987i
\(43\) 5.62116 + 4.87076i 0.857219 + 0.742784i 0.967971 0.251064i \(-0.0807804\pi\)
−0.110752 + 0.993848i \(0.535326\pi\)
\(44\) −1.20853 0.821912i −0.182192 0.123908i
\(45\) −1.23668 −0.184353
\(46\) −6.72061 0.912940i −0.990899 0.134606i
\(47\) 3.21000i 0.468227i 0.972209 + 0.234113i \(0.0752187\pi\)
−0.972209 + 0.234113i \(0.924781\pi\)
\(48\) −2.45851 3.15527i −0.354856 0.455424i
\(49\) −8.23904 + 9.50836i −1.17701 + 1.35834i
\(50\) 0.286372 + 4.89984i 0.0404991 + 0.692942i
\(51\) 4.57919 + 0.658388i 0.641215 + 0.0921928i
\(52\) −4.04675 + 1.07460i −0.561183 + 0.149021i
\(53\) −4.99279 10.9327i −0.685812 1.50172i −0.856366 0.516370i \(-0.827283\pi\)
0.170554 0.985348i \(-0.445444\pi\)
\(54\) 0.318580 1.37786i 0.0433533 0.187503i
\(55\) 0.894526 0.128613i 0.120618 0.0173422i
\(56\) 1.37975 12.4397i 0.184377 1.66233i
\(57\) −0.278327 0.947894i −0.0368653 0.125552i
\(58\) 4.48939 5.83713i 0.589486 0.766452i
\(59\) 3.58635 7.85300i 0.466902 1.02237i −0.518957 0.854800i \(-0.673680\pi\)
0.985860 0.167573i \(-0.0535931\pi\)
\(60\) 2.43819 + 0.415625i 0.314769 + 0.0536570i
\(61\) −6.08332 7.02052i −0.778889 0.898886i 0.218140 0.975918i \(-0.430001\pi\)
−0.997029 + 0.0770318i \(0.975456\pi\)
\(62\) −1.93270 1.08824i −0.245453 0.138206i
\(63\) 3.72262 2.39238i 0.469006 0.301412i
\(64\) 3.78668 + 7.04706i 0.473334 + 0.880883i
\(65\) 1.39971 2.17800i 0.173613 0.270147i
\(66\) −0.0871421 + 1.02978i −0.0107264 + 0.126757i
\(67\) −2.30995 + 7.86698i −0.282206 + 0.961105i 0.689377 + 0.724403i \(0.257885\pi\)
−0.971582 + 0.236702i \(0.923934\pi\)
\(68\) −8.80688 2.83703i −1.06799 0.344041i
\(69\) 1.76909 + 4.45761i 0.212973 + 0.536634i
\(70\) 4.55684 + 6.25538i 0.544647 + 0.747661i
\(71\) 2.19649 7.48057i 0.260676 0.887781i −0.720302 0.693661i \(-0.755997\pi\)
0.980978 0.194120i \(-0.0621851\pi\)
\(72\) −1.09117 + 2.60947i −0.128596 + 0.307529i
\(73\) −11.2800 7.24919i −1.32022 0.848454i −0.324962 0.945727i \(-0.605352\pi\)
−0.995258 + 0.0972730i \(0.968988\pi\)
\(74\) −6.06524 + 3.21006i −0.705069 + 0.373162i
\(75\) 2.91967 1.87636i 0.337135 0.216663i
\(76\) 0.230168 + 1.96237i 0.0264021 + 0.225099i
\(77\) −2.44387 + 2.11763i −0.278505 + 0.241326i
\(78\) 2.06606 + 2.12058i 0.233936 + 0.240108i
\(79\) 6.41315 14.0428i 0.721535 1.57994i −0.0902046 0.995923i \(-0.528752\pi\)
0.811740 0.584019i \(-0.198521\pi\)
\(80\) −4.66735 1.63886i −0.521826 0.183230i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) 8.28699 1.69002i 0.915145 0.186632i
\(83\) 8.31810 1.19596i 0.913030 0.131274i 0.330241 0.943897i \(-0.392870\pi\)
0.582790 + 0.812623i \(0.301961\pi\)
\(84\) −8.14340 + 3.46562i −0.888518 + 0.378130i
\(85\) 5.20421 2.37668i 0.564476 0.257788i
\(86\) −3.80393 + 9.80682i −0.410188 + 1.05750i
\(87\) −5.15405 0.741040i −0.552572 0.0794479i
\(88\) 0.517896 2.00099i 0.0552079 0.213306i
\(89\) −11.8620 10.2785i −1.25737 1.08952i −0.992114 0.125336i \(-0.959999\pi\)
−0.265253 0.964179i \(-0.585456\pi\)
\(90\) −0.589800 1.64648i −0.0621704 0.173554i
\(91\) 9.26391i 0.971121i
\(92\) −1.98974 9.38301i −0.207445 0.978247i
\(93\) 1.56837i 0.162632i
\(94\) −4.27370 + 1.53092i −0.440798 + 0.157902i
\(95\) −0.923322 0.800063i −0.0947308 0.0820847i
\(96\) 3.02831 4.77800i 0.309076 0.487653i
\(97\) 3.23341 + 0.464894i 0.328303 + 0.0472028i 0.304496 0.952514i \(-0.401512\pi\)
0.0238073 + 0.999717i \(0.492421\pi\)
\(98\) −16.5885 6.43446i −1.67569 0.649979i
\(99\) 0.664729 0.303571i 0.0668078 0.0305101i
\(100\) −6.38692 + 2.71811i −0.638692 + 0.271811i
\(101\) −6.24934 + 0.898519i −0.621833 + 0.0894060i −0.446028 0.895019i \(-0.647162\pi\)
−0.175805 + 0.984425i \(0.556253\pi\)
\(102\) 1.30736 + 6.41060i 0.129448 + 0.634744i
\(103\) −14.4446 + 4.24132i −1.42327 + 0.417910i −0.900609 0.434631i \(-0.856879\pi\)
−0.522661 + 0.852541i \(0.675061\pi\)
\(104\) −3.36068 4.87522i −0.329542 0.478054i
\(105\) 2.27332 4.97788i 0.221854 0.485791i
\(106\) 12.1743 11.8613i 1.18247 1.15207i
\(107\) 13.7069 11.8771i 1.32509 1.14820i 0.347501 0.937679i \(-0.387030\pi\)
0.977590 0.210519i \(-0.0675153\pi\)
\(108\) 1.98638 0.232985i 0.191140 0.0224190i
\(109\) 4.78810 3.07713i 0.458617 0.294735i −0.290860 0.956766i \(-0.593941\pi\)
0.749477 + 0.662030i \(0.230305\pi\)
\(110\) 0.597851 + 1.12961i 0.0570029 + 0.107704i
\(111\) 4.08210 + 2.62341i 0.387456 + 0.249003i
\(112\) 17.2199 4.09583i 1.62713 0.387020i
\(113\) −1.08571 + 3.69760i −0.102135 + 0.347841i −0.994666 0.103145i \(-0.967109\pi\)
0.892531 + 0.450986i \(0.148928\pi\)
\(114\) 1.12926 0.822627i 0.105765 0.0770461i
\(115\) 4.82085 + 3.45472i 0.449547 + 0.322154i
\(116\) 9.91247 + 3.19319i 0.920349 + 0.296480i
\(117\) 0.589807 2.00870i 0.0545277 0.185704i
\(118\) 12.1657 + 1.02948i 1.11994 + 0.0947715i
\(119\) −11.0678 + 17.2219i −1.01459 + 1.57873i
\(120\) 0.609475 + 3.44435i 0.0556372 + 0.314425i
\(121\) 8.80454 5.65834i 0.800413 0.514394i
\(122\) 6.44564 11.4474i 0.583561 1.03640i
\(123\) −3.91633 4.51968i −0.353123 0.407526i
\(124\) 0.527100 3.09214i 0.0473350 0.277682i
\(125\) 4.35166 9.52880i 0.389224 0.852282i
\(126\) 4.96054 + 3.81520i 0.441920 + 0.339885i
\(127\) 1.77915 + 6.05923i 0.157874 + 0.537670i 0.999999 0.00161305i \(-0.000513451\pi\)
−0.842125 + 0.539283i \(0.818695\pi\)
\(128\) −7.57630 + 8.40236i −0.669656 + 0.742671i
\(129\) 7.36215 1.05852i 0.648202 0.0931973i
\(130\) 3.56727 + 0.824801i 0.312870 + 0.0723398i
\(131\) 4.84277 + 10.6042i 0.423115 + 0.926492i 0.994394 + 0.105736i \(0.0337199\pi\)
−0.571280 + 0.820755i \(0.693553\pi\)
\(132\) −1.41258 + 0.375106i −0.122949 + 0.0326488i
\(133\) 4.32709 + 0.622142i 0.375207 + 0.0539466i
\(134\) −11.5755 + 0.676534i −0.999973 + 0.0584436i
\(135\) −0.809853 + 0.934620i −0.0697011 + 0.0804393i
\(136\) −0.423054 13.0783i −0.0362766 1.12145i
\(137\) 11.5339i 0.985407i 0.870197 + 0.492703i \(0.163991\pi\)
−0.870197 + 0.492703i \(0.836009\pi\)
\(138\) −5.09101 + 4.48125i −0.433376 + 0.381469i
\(139\) −9.23301 −0.783134 −0.391567 0.920150i \(-0.628067\pi\)
−0.391567 + 0.920150i \(0.628067\pi\)
\(140\) −6.15497 + 9.05017i −0.520190 + 0.764879i
\(141\) 2.42596 + 2.10210i 0.204302 + 0.177029i
\(142\) 11.0070 0.643304i 0.923684 0.0539849i
\(143\) −0.217722 + 1.51429i −0.0182068 + 0.126631i
\(144\) −3.99458 0.208243i −0.332881 0.0173536i
\(145\) −5.85753 + 2.67505i −0.486442 + 0.222150i
\(146\) 4.27169 18.4751i 0.353528 1.52901i
\(147\) 1.79051 + 12.4533i 0.147679 + 1.02713i
\(148\) −7.16643 6.54412i −0.589077 0.537924i
\(149\) 8.89000 2.61034i 0.728297 0.213847i 0.103495 0.994630i \(-0.466998\pi\)
0.624803 + 0.780783i \(0.285179\pi\)
\(150\) 3.89059 + 2.99229i 0.317665 + 0.244319i
\(151\) 10.3104 + 4.70860i 0.839048 + 0.383180i 0.788120 0.615522i \(-0.211055\pi\)
0.0509281 + 0.998702i \(0.483782\pi\)
\(152\) −2.50287 + 1.24234i −0.203009 + 0.100767i
\(153\) 3.49631 3.02957i 0.282660 0.244926i
\(154\) −3.98488 2.24375i −0.321111 0.180807i
\(155\) 1.04861 + 1.63167i 0.0842266 + 0.131059i
\(156\) −1.83793 + 3.76204i −0.147152 + 0.301205i
\(157\) 3.51065 + 2.25616i 0.280181 + 0.180061i 0.673182 0.739477i \(-0.264927\pi\)
−0.393002 + 0.919538i \(0.628563\pi\)
\(158\) 21.7548 + 1.84093i 1.73072 + 0.146457i
\(159\) −11.5319 3.38608i −0.914543 0.268534i
\(160\) −0.0440340 6.99558i −0.00348120 0.553049i
\(161\) −21.1948 1.07326i −1.67038 0.0845845i
\(162\) −0.832694 1.14308i −0.0654226 0.0898085i
\(163\) −8.04721 2.36288i −0.630306 0.185075i −0.0490516 0.998796i \(-0.515620\pi\)
−0.581255 + 0.813722i \(0.697438\pi\)
\(164\) 6.20229 + 10.2270i 0.484318 + 0.798597i
\(165\) 0.488590 0.760262i 0.0380367 0.0591863i
\(166\) 5.55936 + 10.5041i 0.431490 + 0.815275i
\(167\) 0.339519 + 0.528302i 0.0262728 + 0.0408813i 0.854142 0.520041i \(-0.174083\pi\)
−0.827869 + 0.560922i \(0.810447\pi\)
\(168\) −8.49779 9.18904i −0.655619 0.708950i
\(169\) −5.64311 6.51249i −0.434085 0.500961i
\(170\) 5.64625 + 5.79524i 0.433048 + 0.444474i
\(171\) −0.898636 0.410393i −0.0687204 0.0313835i
\(172\) −14.8707 0.387352i −1.13388 0.0295353i
\(173\) −1.64828 5.61354i −0.125317 0.426790i 0.872804 0.488071i \(-0.162299\pi\)
−0.998121 + 0.0612817i \(0.980481\pi\)
\(174\) −1.47148 7.21536i −0.111553 0.546995i
\(175\) 2.18564 + 15.2015i 0.165219 + 1.14912i
\(176\) 2.91105 0.264804i 0.219428 0.0199603i
\(177\) −3.58635 7.85300i −0.269566 0.590268i
\(178\) 8.02720 20.6947i 0.601664 1.55113i
\(179\) 0.302070 2.10094i 0.0225778 0.157032i −0.975414 0.220382i \(-0.929270\pi\)
0.997991 + 0.0633505i \(0.0201786\pi\)
\(180\) 1.91078 1.57048i 0.142421 0.117057i
\(181\) 4.92883 5.68818i 0.366357 0.422799i −0.542402 0.840119i \(-0.682485\pi\)
0.908760 + 0.417320i \(0.137031\pi\)
\(182\) −12.3337 + 4.41816i −0.914234 + 0.327496i
\(183\) −9.28948 −0.686698
\(184\) 11.5433 7.12405i 0.850984 0.525192i
\(185\) 6.00087 0.441193
\(186\) −2.08808 + 0.747991i −0.153106 + 0.0548453i
\(187\) −2.21391 + 2.55499i −0.161897 + 0.186839i
\(188\) −4.07644 4.95974i −0.297305 0.361726i
\(189\) 0.629755 4.38004i 0.0458079 0.318601i
\(190\) 0.624827 1.61085i 0.0453297 0.116863i
\(191\) −1.57355 3.44560i −0.113858 0.249315i 0.844121 0.536153i \(-0.180123\pi\)
−0.957979 + 0.286838i \(0.907396\pi\)
\(192\) 7.80556 + 1.75307i 0.563318 + 0.126517i
\(193\) 3.16042 + 21.9812i 0.227492 + 1.58224i 0.708619 + 0.705591i \(0.249318\pi\)
−0.481127 + 0.876651i \(0.659773\pi\)
\(194\) 0.923138 + 4.52658i 0.0662775 + 0.324990i
\(195\) −0.729402 2.48412i −0.0522336 0.177891i
\(196\) 0.655217 25.1542i 0.0468012 1.79673i
\(197\) −10.2317 4.67265i −0.728976 0.332912i 0.0161191 0.999870i \(-0.494869\pi\)
−0.745096 + 0.666958i \(0.767596\pi\)
\(198\) 0.721190 + 0.740220i 0.0512527 + 0.0526051i
\(199\) −1.71397 1.97803i −0.121500 0.140219i 0.691740 0.722146i \(-0.256844\pi\)
−0.813241 + 0.581927i \(0.802299\pi\)
\(200\) −6.66487 7.20703i −0.471278 0.509614i
\(201\) 4.43277 + 6.89752i 0.312663 + 0.486514i
\(202\) −4.17671 7.89166i −0.293872 0.555255i
\(203\) 12.4572 19.3838i 0.874327 1.36048i
\(204\) −7.91137 + 4.79793i −0.553906 + 0.335922i
\(205\) −7.09626 2.08365i −0.495624 0.145528i
\(206\) −12.5357 17.2083i −0.873405 1.19896i
\(207\) 4.52735 + 1.58213i 0.314672 + 0.109965i
\(208\) 4.88793 6.79940i 0.338917 0.471454i
\(209\) 0.692689 + 0.203392i 0.0479143 + 0.0140689i
\(210\) 7.71160 + 0.652571i 0.532151 + 0.0450317i
\(211\) −8.10079 5.20606i −0.557681 0.358400i 0.231238 0.972897i \(-0.425722\pi\)
−0.788919 + 0.614497i \(0.789359\pi\)
\(212\) 21.5979 + 10.5515i 1.48335 + 0.724683i
\(213\) −4.21504 6.55873i −0.288810 0.449397i
\(214\) 22.3498 + 12.5845i 1.52780 + 0.860256i
\(215\) 6.95158 6.02358i 0.474094 0.410804i
\(216\) 1.25754 + 2.53349i 0.0855647 + 0.172382i
\(217\) −6.31300 2.88305i −0.428555 0.195714i
\(218\) 6.38035 + 4.90719i 0.432132 + 0.332357i
\(219\) −12.8654 + 3.77762i −0.869362 + 0.255268i
\(220\) −1.21880 + 1.33470i −0.0821712 + 0.0899851i
\(221\) 1.37834 + 9.58653i 0.0927169 + 0.644860i
\(222\) −1.54588 + 6.68595i −0.103753 + 0.448731i
\(223\) −1.33536 + 0.609838i −0.0894222 + 0.0408377i −0.459624 0.888114i \(-0.652016\pi\)
0.370202 + 0.928951i \(0.379289\pi\)
\(224\) 13.6656 + 20.9727i 0.913073 + 1.40130i
\(225\) 0.493921 3.43530i 0.0329281 0.229020i
\(226\) −5.44068 + 0.317981i −0.361908 + 0.0211518i
\(227\) 2.04965 + 1.77603i 0.136040 + 0.117879i 0.720223 0.693743i \(-0.244040\pi\)
−0.584183 + 0.811622i \(0.698585\pi\)
\(228\) 1.63379 + 1.11113i 0.108200 + 0.0735863i
\(229\) 20.4354 1.35041 0.675205 0.737630i \(-0.264055\pi\)
0.675205 + 0.737630i \(0.264055\pi\)
\(230\) −2.30034 + 8.06597i −0.151680 + 0.531854i
\(231\) 3.23370i 0.212762i
\(232\) 0.476163 + 14.7201i 0.0312616 + 0.966419i
\(233\) −10.4023 + 12.0049i −0.681479 + 0.786468i −0.986126 0.165997i \(-0.946916\pi\)
0.304648 + 0.952465i \(0.401461\pi\)
\(234\) 2.95561 0.172741i 0.193214 0.0112924i
\(235\) 3.92934 + 0.564953i 0.256322 + 0.0368535i
\(236\) 4.43145 + 16.6880i 0.288463 + 1.08629i
\(237\) −6.41315 14.0428i −0.416579 0.912180i
\(238\) −28.2072 6.52188i −1.82840 0.422750i
\(239\) 3.92517 0.564354i 0.253898 0.0365050i −0.0141906 0.999899i \(-0.504517\pi\)
0.268088 + 0.963394i \(0.413608\pi\)
\(240\) −4.29503 + 2.45412i −0.277243 + 0.158413i
\(241\) −4.39578 14.9707i −0.283157 0.964344i −0.971119 0.238597i \(-0.923312\pi\)
0.687962 0.725747i \(-0.258506\pi\)
\(242\) 11.7324 + 9.02352i 0.754188 + 0.580054i
\(243\) −0.415415 + 0.909632i −0.0266489 + 0.0583529i
\(244\) 18.3148 + 3.12202i 1.17248 + 0.199867i
\(245\) 10.1891 + 11.7588i 0.650955 + 0.751242i
\(246\) 4.14959 7.36962i 0.264568 0.469870i
\(247\) 1.73987 1.11815i 0.110705 0.0711461i
\(248\) 4.36816 0.772943i 0.277379 0.0490819i
\(249\) 4.54335 7.06959i 0.287923 0.448017i
\(250\) 14.7618 + 1.24917i 0.933616 + 0.0790045i
\(251\) −5.28298 + 17.9922i −0.333458 + 1.13566i 0.606704 + 0.794928i \(0.292491\pi\)
−0.940162 + 0.340727i \(0.889327\pi\)
\(252\) −2.71365 + 8.42387i −0.170944 + 0.530654i
\(253\) −3.43930 0.673559i −0.216227 0.0423463i
\(254\) −7.21856 + 5.25849i −0.452933 + 0.329947i
\(255\) 1.61186 5.48948i 0.100938 0.343764i
\(256\) −14.8000 6.07958i −0.924997 0.379974i
\(257\) −11.0677 7.11275i −0.690381 0.443681i 0.147840 0.989011i \(-0.452768\pi\)
−0.838221 + 0.545330i \(0.816404\pi\)
\(258\) 4.92045 + 9.29692i 0.306334 + 0.578801i
\(259\) −18.0636 + 11.6088i −1.12242 + 0.721335i
\(260\) 0.603195 + 5.14272i 0.0374086 + 0.318938i
\(261\) −3.93522 + 3.40989i −0.243584 + 0.211067i
\(262\) −11.8085 + 11.5049i −0.729529 + 0.710774i
\(263\) −5.40570 + 11.8368i −0.333330 + 0.729891i −0.999879 0.0155706i \(-0.995044\pi\)
0.666549 + 0.745461i \(0.267771\pi\)
\(264\) −1.17309 1.70177i −0.0721990 0.104736i
\(265\) −14.2613 + 4.18750i −0.876066 + 0.257236i
\(266\) 1.23538 + 6.05767i 0.0757463 + 0.371420i
\(267\) −15.5359 + 2.23372i −0.950781 + 0.136702i
\(268\) −6.42134 15.0887i −0.392246 0.921686i
\(269\) −0.291963 + 0.133335i −0.0178013 + 0.00812958i −0.424296 0.905524i \(-0.639478\pi\)
0.406494 + 0.913653i \(0.366751\pi\)
\(270\) −1.63056 0.632473i −0.0992329 0.0384911i
\(271\) 4.69708 + 0.675338i 0.285327 + 0.0410239i 0.283493 0.958974i \(-0.408507\pi\)
0.00183483 + 0.999998i \(0.499416\pi\)
\(272\) 17.2102 6.80055i 1.04352 0.412344i
\(273\) 7.00119 + 6.06657i 0.423732 + 0.367165i
\(274\) −15.3559 + 5.50077i −0.927682 + 0.332313i
\(275\) 2.53622i 0.152940i
\(276\) −8.39421 4.64082i −0.505272 0.279344i
\(277\) 24.3777i 1.46471i 0.680920 + 0.732357i \(0.261580\pi\)
−0.680920 + 0.732357i \(0.738420\pi\)
\(278\) −4.40343 12.2926i −0.264100 0.737258i
\(279\) 1.18530 + 1.02706i 0.0709618 + 0.0614887i
\(280\) −14.9846 3.87831i −0.895499 0.231773i
\(281\) −15.2914 2.19857i −0.912209 0.131156i −0.329799 0.944051i \(-0.606981\pi\)
−0.582410 + 0.812895i \(0.697890\pi\)
\(282\) −1.64168 + 4.23238i −0.0977609 + 0.252035i
\(283\) −3.59708 + 1.64273i −0.213824 + 0.0976504i −0.519448 0.854502i \(-0.673862\pi\)
0.305624 + 0.952152i \(0.401135\pi\)
\(284\) 6.10594 + 14.3475i 0.362321 + 0.851369i
\(285\) −1.20929 + 0.173870i −0.0716324 + 0.0102992i
\(286\) −2.11991 + 0.432329i −0.125353 + 0.0255642i
\(287\) 25.3918 7.45570i 1.49883 0.440096i
\(288\) −1.62785 5.41757i −0.0959221 0.319234i
\(289\) −1.82885 + 4.00463i −0.107579 + 0.235566i
\(290\) −6.35506 6.52275i −0.373182 0.383029i
\(291\) 2.46878 2.13921i 0.144722 0.125403i
\(292\) 26.6345 3.12398i 1.55866 0.182817i
\(293\) −8.40438 + 5.40117i −0.490989 + 0.315540i −0.762603 0.646867i \(-0.776079\pi\)
0.271614 + 0.962406i \(0.412443\pi\)
\(294\) −15.7260 + 8.32309i −0.917160 + 0.485413i
\(295\) −8.98161 5.77213i −0.522930 0.336066i
\(296\) 5.29482 12.6622i 0.307755 0.735976i
\(297\) 0.205881 0.701166i 0.0119464 0.0406858i
\(298\) 7.71516 + 10.5909i 0.446927 + 0.613517i
\(299\) −7.91058 + 6.18270i −0.457480 + 0.357555i
\(300\) −2.12833 + 6.60690i −0.122879 + 0.381449i
\(301\) −9.27271 + 31.5799i −0.534470 + 1.82024i
\(302\) −1.35163 + 15.9726i −0.0777777 + 0.919119i
\(303\) −3.41339 + 5.31134i −0.196094 + 0.305129i
\(304\) −2.84768 2.73974i −0.163326 0.157135i
\(305\) −9.66442 + 6.21095i −0.553383 + 0.355638i
\(306\) 5.70094 + 3.21001i 0.325901 + 0.183504i
\(307\) −18.3143 21.1358i −1.04525 1.20628i −0.978013 0.208546i \(-0.933127\pi\)
−0.0672376 0.997737i \(-0.521419\pi\)
\(308\) 1.08679 6.37544i 0.0619255 0.363275i
\(309\) −6.25383 + 13.6940i −0.355768 + 0.779023i
\(310\) −1.67225 + 2.17427i −0.0949776 + 0.123490i
\(311\) 2.00260 + 6.82024i 0.113557 + 0.386740i 0.996584 0.0825817i \(-0.0263165\pi\)
−0.883027 + 0.469322i \(0.844498\pi\)
\(312\) −5.88522 0.652756i −0.333185 0.0369551i
\(313\) 20.8212 2.99364i 1.17688 0.169210i 0.474007 0.880521i \(-0.342807\pi\)
0.702878 + 0.711311i \(0.251898\pi\)
\(314\) −1.32947 + 5.74999i −0.0750266 + 0.324491i
\(315\) −2.27332 4.97788i −0.128087 0.280472i
\(316\) 7.92437 + 29.8416i 0.445781 + 1.67872i
\(317\) −25.3622 3.64654i −1.42449 0.204810i −0.613416 0.789760i \(-0.710205\pi\)
−0.811069 + 0.584950i \(0.801114\pi\)
\(318\) −0.991708 16.9682i −0.0556122 0.951528i
\(319\) 2.49184 2.87573i 0.139516 0.161010i
\(320\) 9.29270 3.39497i 0.519478 0.189785i
\(321\) 18.1368i 1.01230i
\(322\) −8.67937 28.7300i −0.483682 1.60106i
\(323\) 4.57035 0.254301
\(324\) 1.12473 1.65378i 0.0624848 0.0918767i
\(325\) 5.49108 + 4.75805i 0.304590 + 0.263929i
\(326\) −0.692033 11.8407i −0.0383282 0.655797i
\(327\) 0.810003 5.63370i 0.0447933 0.311544i
\(328\) −10.6580 + 13.1350i −0.588487 + 0.725262i
\(329\) −12.9209 + 5.90077i −0.712351 + 0.325320i
\(330\) 1.24521 + 0.287909i 0.0685465 + 0.0158489i
\(331\) 2.46620 + 17.1528i 0.135554 + 0.942802i 0.938138 + 0.346262i \(0.112549\pi\)
−0.802583 + 0.596540i \(0.796542\pi\)
\(332\) −11.3334 + 12.4112i −0.622004 + 0.681152i
\(333\) 4.65585 1.36708i 0.255139 0.0749155i
\(334\) −0.541441 + 0.703985i −0.0296264 + 0.0385203i
\(335\) 9.22336 + 4.21217i 0.503926 + 0.230135i
\(336\) 8.18123 15.6962i 0.446323 0.856295i
\(337\) 7.93637 6.87690i 0.432322 0.374609i −0.411342 0.911481i \(-0.634940\pi\)
0.843663 + 0.536872i \(0.180394\pi\)
\(338\) 5.97921 10.6190i 0.325226 0.577598i
\(339\) 2.08347 + 3.24194i 0.113159 + 0.176078i
\(340\) −5.02278 + 10.2811i −0.272399 + 0.557572i
\(341\) −0.964172 0.619636i −0.0522128 0.0335551i
\(342\) 0.117806 1.39214i 0.00637021 0.0752784i
\(343\) −23.6976 6.95823i −1.27955 0.375709i
\(344\) −6.57645 19.9831i −0.354578 1.07742i
\(345\) 5.76789 1.38100i 0.310533 0.0743505i
\(346\) 6.68760 4.87170i 0.359527 0.261904i
\(347\) −31.6329 9.28826i −1.69814 0.498620i −0.717856 0.696192i \(-0.754876\pi\)
−0.980288 + 0.197572i \(0.936694\pi\)
\(348\) 8.90453 5.40025i 0.477333 0.289484i
\(349\) −7.84283 + 12.2037i −0.419817 + 0.653248i −0.985166 0.171604i \(-0.945105\pi\)
0.565349 + 0.824852i \(0.308741\pi\)
\(350\) −19.1964 + 10.1598i −1.02609 + 0.543065i
\(351\) −1.13183 1.76116i −0.0604127 0.0940039i
\(352\) 1.74089 + 3.74939i 0.0927900 + 0.199843i
\(353\) 18.6407 + 21.5125i 0.992142 + 1.14499i 0.989432 + 0.144997i \(0.0463172\pi\)
0.00271018 + 0.999996i \(0.499137\pi\)
\(354\) 8.74484 8.52002i 0.464783 0.452834i
\(355\) −8.77033 4.00528i −0.465481 0.212578i
\(356\) 31.3807 + 0.817404i 1.66317 + 0.0433224i
\(357\) 5.76754 + 19.6424i 0.305250 + 1.03959i
\(358\) 2.94119 0.599819i 0.155447 0.0317014i
\(359\) 0.558026 + 3.88116i 0.0294515 + 0.204840i 0.999234 0.0391311i \(-0.0124590\pi\)
−0.969783 + 0.243971i \(0.921550\pi\)
\(360\) 3.00219 + 1.79496i 0.158229 + 0.0946027i
\(361\) 7.48745 + 16.3952i 0.394076 + 0.862907i
\(362\) 9.92374 + 3.84928i 0.521580 + 0.202314i
\(363\) 1.48946 10.3595i 0.0781766 0.543730i
\(364\) −11.7644 14.3136i −0.616623 0.750235i
\(365\) −10.8589 + 12.5319i −0.568383 + 0.655948i
\(366\) −4.43036 12.3677i −0.231579 0.646472i
\(367\) 20.8520 1.08847 0.544233 0.838934i \(-0.316821\pi\)
0.544233 + 0.838934i \(0.316821\pi\)
\(368\) 14.9900 + 11.9708i 0.781408 + 0.624021i
\(369\) −5.98040 −0.311327
\(370\) 2.86195 + 7.98938i 0.148786 + 0.415348i
\(371\) 34.8282 40.1939i 1.80819 2.08676i
\(372\) −1.99170 2.42328i −0.103265 0.125641i
\(373\) 3.33657 23.2063i 0.172761 1.20158i −0.700257 0.713891i \(-0.746931\pi\)
0.873018 0.487688i \(-0.162160\pi\)
\(374\) −4.45749 1.72900i −0.230492 0.0894045i
\(375\) −4.35166 9.52880i −0.224719 0.492065i
\(376\) 4.65910 7.79266i 0.240275 0.401876i
\(377\) −1.55137 10.7900i −0.0798995 0.555713i
\(378\) 6.13180 1.25050i 0.315386 0.0643189i
\(379\) 9.28894 + 31.6352i 0.477141 + 1.62499i 0.748940 + 0.662638i \(0.230563\pi\)
−0.271799 + 0.962354i \(0.587619\pi\)
\(380\) 2.44263 + 0.0636257i 0.125304 + 0.00326393i
\(381\) 5.74436 + 2.62336i 0.294292 + 0.134399i
\(382\) 3.83690 3.73826i 0.196313 0.191266i
\(383\) 14.2698 + 16.4682i 0.729154 + 0.841488i 0.992376 0.123247i \(-0.0393307\pi\)
−0.263222 + 0.964735i \(0.584785\pi\)
\(384\) 1.38866 + 11.2282i 0.0708649 + 0.572985i
\(385\) 2.16205 + 3.36422i 0.110188 + 0.171457i
\(386\) −27.7578 + 14.6910i −1.41284 + 0.747753i
\(387\) 4.02121 6.25713i 0.204410 0.318068i
\(388\) −5.58629 + 3.38786i −0.283601 + 0.171993i
\(389\) 14.2448 + 4.18265i 0.722240 + 0.212069i 0.622137 0.782908i \(-0.286265\pi\)
0.100103 + 0.994977i \(0.468083\pi\)
\(390\) 2.95941 2.15583i 0.149855 0.109165i
\(391\) −22.0926 + 2.04285i −1.11727 + 0.103311i
\(392\) 33.8020 11.1243i 1.70726 0.561860i
\(393\) 11.1854 + 3.28434i 0.564231 + 0.165673i
\(394\) 1.34131 15.8506i 0.0675743 0.798543i
\(395\) −16.0610 10.3218i −0.808118 0.519346i
\(396\) −0.641555 + 1.31320i −0.0322394 + 0.0659907i
\(397\) 13.7123 + 21.3368i 0.688203 + 1.07086i 0.992962 + 0.118435i \(0.0377878\pi\)
−0.304759 + 0.952430i \(0.598576\pi\)
\(398\) 1.81606 3.22530i 0.0910309 0.161670i
\(399\) 3.30383 2.86278i 0.165398 0.143318i
\(400\) 6.41660 12.3106i 0.320830 0.615530i
\(401\) 6.39527 + 2.92062i 0.319364 + 0.145849i 0.568646 0.822582i \(-0.307467\pi\)
−0.249282 + 0.968431i \(0.580195\pi\)
\(402\) −7.06907 + 9.19124i −0.352573 + 0.458417i
\(403\) −3.15038 + 0.925036i −0.156932 + 0.0460793i
\(404\) 8.51475 9.32445i 0.423625 0.463909i
\(405\) 0.175998 + 1.22409i 0.00874541 + 0.0608256i
\(406\) 31.7482 + 7.34061i 1.57564 + 0.364308i
\(407\) −3.22553 + 1.47305i −0.159884 + 0.0730164i
\(408\) −10.1609 8.24471i −0.503041 0.408174i
\(409\) −0.679935 + 4.72905i −0.0336206 + 0.233836i −0.999702 0.0244003i \(-0.992232\pi\)
0.966082 + 0.258237i \(0.0831415\pi\)
\(410\) −0.610254 10.4415i −0.0301383 0.515668i
\(411\) 8.71673 + 7.55309i 0.429965 + 0.372566i
\(412\) 16.9321 24.8967i 0.834184 1.22657i
\(413\) 38.2025 1.87982
\(414\) 0.0527948 + 6.78212i 0.00259472 + 0.333323i
\(415\) 10.3926i 0.510153i
\(416\) 11.3837 + 3.26486i 0.558131 + 0.160073i
\(417\) −6.04634 + 6.97784i −0.296090 + 0.341706i
\(418\) 0.0595689 + 1.01923i 0.00291361 + 0.0498521i
\(419\) −7.70676 1.10806i −0.376500 0.0541325i −0.0485326 0.998822i \(-0.515454\pi\)
−0.327967 + 0.944689i \(0.606364\pi\)
\(420\) 2.80902 + 10.5782i 0.137066 + 0.516164i
\(421\) −16.9905 37.2040i −0.828066 1.81321i −0.488169 0.872749i \(-0.662335\pi\)
−0.339897 0.940463i \(-0.610392\pi\)
\(422\) 3.06775 13.2680i 0.149336 0.645877i
\(423\) 3.17733 0.456831i 0.154487 0.0222119i
\(424\) −3.74748 + 33.7871i −0.181994 + 1.64085i
\(425\) 4.52352 + 15.4057i 0.219423 + 0.747286i
\(426\) 6.72185 8.73978i 0.325675 0.423444i
\(427\) 17.0764 37.3920i 0.826383 1.80953i
\(428\) −6.09543 + 35.7577i −0.294634 + 1.72841i
\(429\) 1.00184 + 1.15619i 0.0483695 + 0.0558214i
\(430\) 11.3350 + 6.38234i 0.546621 + 0.307784i
\(431\) 17.7959 11.4367i 0.857199 0.550888i −0.0366134 0.999330i \(-0.511657\pi\)
0.893812 + 0.448441i \(0.148021\pi\)
\(432\) −2.77327 + 2.88253i −0.133429 + 0.138686i
\(433\) 22.2808 34.6695i 1.07074 1.66611i 0.418215 0.908348i \(-0.362656\pi\)
0.652530 0.757763i \(-0.273708\pi\)
\(434\) 0.827598 9.77993i 0.0397260 0.469452i
\(435\) −1.81420 + 6.17861i −0.0869844 + 0.296242i
\(436\) −3.49035 + 10.8349i −0.167158 + 0.518900i
\(437\) 2.35663 + 4.11018i 0.112733 + 0.196617i
\(438\) −11.1652 15.3270i −0.533493 0.732350i
\(439\) 7.26853 24.7543i 0.346908 1.18146i −0.582631 0.812737i \(-0.697977\pi\)
0.929539 0.368723i \(-0.120205\pi\)
\(440\) −2.35824 0.986122i −0.112425 0.0470115i
\(441\) 10.5841 + 6.80200i 0.504006 + 0.323905i
\(442\) −12.1059 + 6.40710i −0.575817 + 0.304755i
\(443\) −1.40668 + 0.904021i −0.0668336 + 0.0429513i −0.573631 0.819114i \(-0.694466\pi\)
0.506797 + 0.862065i \(0.330829\pi\)
\(444\) −9.63873 + 1.13054i −0.457434 + 0.0536529i
\(445\) −14.6695 + 12.7112i −0.695400 + 0.602567i
\(446\) −1.44878 1.48701i −0.0686018 0.0704120i
\(447\) 3.84895 8.42802i 0.182049 0.398632i
\(448\) −21.4050 + 28.1964i −1.01129 + 1.33215i
\(449\) 36.6064 10.7486i 1.72756 0.507258i 0.741122 0.671371i \(-0.234294\pi\)
0.986442 + 0.164112i \(0.0524759\pi\)
\(450\) 4.80921 0.980777i 0.226708 0.0462343i
\(451\) 4.32579 0.621955i 0.203694 0.0292867i
\(452\) −3.01813 7.09190i −0.141961 0.333575i
\(453\) 10.3104 4.70860i 0.484424 0.221229i
\(454\) −1.38703 + 3.57586i −0.0650965 + 0.167824i
\(455\) 11.3399 + 1.63043i 0.531622 + 0.0764357i
\(456\) −0.700134 + 2.70510i −0.0327868 + 0.126678i
\(457\) 8.02012 + 6.94947i 0.375165 + 0.325083i 0.821951 0.569559i \(-0.192886\pi\)
−0.446785 + 0.894641i \(0.647431\pi\)
\(458\) 9.74610 + 27.2071i 0.455406 + 1.27130i
\(459\) 4.62628i 0.215936i
\(460\) −11.8359 + 0.784241i −0.551850 + 0.0365654i
\(461\) 35.2790i 1.64311i −0.570132 0.821553i \(-0.693108\pi\)
0.570132 0.821553i \(-0.306892\pi\)
\(462\) −4.30526 + 1.54222i −0.200299 + 0.0717508i
\(463\) −27.1924 23.5623i −1.26374 1.09503i −0.991128 0.132908i \(-0.957568\pi\)
−0.272608 0.962125i \(-0.587886\pi\)
\(464\) −19.3707 + 7.65427i −0.899264 + 0.355341i
\(465\) 1.91983 + 0.276030i 0.0890300 + 0.0128006i
\(466\) −20.9441 8.12392i −0.970216 0.376334i
\(467\) −3.45882 + 1.57959i −0.160055 + 0.0730946i −0.493832 0.869558i \(-0.664404\pi\)
0.333777 + 0.942652i \(0.391677\pi\)
\(468\) 1.63958 + 3.85263i 0.0757895 + 0.178088i
\(469\) −35.9124 + 5.16343i −1.65828 + 0.238425i
\(470\) 1.12183 + 5.50084i 0.0517459 + 0.253735i
\(471\) 4.00408 1.17570i 0.184498 0.0541736i
\(472\) −20.1044 + 13.8588i −0.925380 + 0.637901i
\(473\) −2.25792 + 4.94416i −0.103819 + 0.227333i
\(474\) 15.6376 15.2356i 0.718260 0.699795i
\(475\) 2.59121 2.24530i 0.118893 0.103021i
\(476\) −4.76959 40.6646i −0.218614 1.86386i
\(477\) −10.1108 + 6.49785i −0.462944 + 0.297516i
\(478\) 2.62336 + 4.95669i 0.119990 + 0.226714i
\(479\) 6.83104 + 4.39004i 0.312118 + 0.200586i 0.687316 0.726359i \(-0.258789\pi\)
−0.375198 + 0.926945i \(0.622425\pi\)
\(480\) −5.31574 4.54785i −0.242629 0.207580i
\(481\) −2.86198 + 9.74701i −0.130495 + 0.444425i
\(482\) 17.8350 12.9922i 0.812363 0.591780i
\(483\) −14.6908 + 15.3151i −0.668452 + 0.696862i
\(484\) −6.41819 + 19.9237i −0.291736 + 0.905623i
\(485\) 1.13815 3.87617i 0.0516806 0.176008i
\(486\) −1.40918 0.119247i −0.0639216 0.00540917i
\(487\) −8.34119 + 12.9791i −0.377976 + 0.588141i −0.977169 0.212463i \(-0.931852\pi\)
0.599194 + 0.800604i \(0.295488\pi\)
\(488\) 4.57815 + 25.8727i 0.207243 + 1.17120i
\(489\) −7.05555 + 4.53432i −0.319063 + 0.205049i
\(490\) −10.7959 + 19.1734i −0.487710 + 0.866167i
\(491\) −7.77485 8.97266i −0.350874 0.404930i 0.552687 0.833389i \(-0.313602\pi\)
−0.903562 + 0.428458i \(0.859057\pi\)
\(492\) 11.7907 + 2.00990i 0.531567 + 0.0906133i
\(493\) 10.0070 21.9124i 0.450695 0.986883i
\(494\) 2.31845 + 1.78314i 0.104312 + 0.0802275i
\(495\) −0.254609 0.867117i −0.0114438 0.0389740i
\(496\) 3.11235 + 5.44701i 0.139748 + 0.244578i
\(497\) 34.1485 4.90981i 1.53177 0.220235i
\(498\) 11.5791 + 2.67724i 0.518870 + 0.119970i
\(499\) −15.5691 34.0916i −0.696970 1.52615i −0.843607 0.536961i \(-0.819572\pi\)
0.146637 0.989190i \(-0.453155\pi\)
\(500\) 5.37710 + 20.2491i 0.240471 + 0.905568i
\(501\) 0.621602 + 0.0893729i 0.0277711 + 0.00399289i
\(502\) −26.4738 + 1.54727i −1.18158 + 0.0690578i
\(503\) −8.08435 + 9.32984i −0.360463 + 0.415997i −0.906795 0.421572i \(-0.861478\pi\)
0.546331 + 0.837569i \(0.316024\pi\)
\(504\) −12.5095 + 0.404655i −0.557217 + 0.0180248i
\(505\) 7.80791i 0.347447i
\(506\) −0.743522 4.90021i −0.0330536 0.217841i
\(507\) −8.61726 −0.382706
\(508\) −10.4437 7.10269i −0.463364 0.315131i
\(509\) −24.8196 21.5063i −1.10011 0.953252i −0.100979 0.994889i \(-0.532197\pi\)
−0.999133 + 0.0416366i \(0.986743\pi\)
\(510\) 8.07726 0.472077i 0.357667 0.0209039i
\(511\) 8.44408 58.7299i 0.373544 2.59806i
\(512\) 1.03574 22.6037i 0.0457738 0.998952i
\(513\) −0.898636 + 0.410393i −0.0396757 + 0.0181193i
\(514\) 4.19129 18.1274i 0.184870 0.799564i
\(515\) 2.64955 + 18.4280i 0.116753 + 0.812034i
\(516\) −10.0310 + 10.9848i −0.441589 + 0.483581i
\(517\) −2.25074 + 0.660877i −0.0989875 + 0.0290653i
\(518\) −24.0705 18.5129i −1.05760 0.813410i
\(519\) −5.32183 2.43040i −0.233602 0.106683i
\(520\) −6.55919 + 3.25575i −0.287639 + 0.142774i
\(521\) 2.52519 2.18809i 0.110631 0.0958620i −0.597789 0.801654i \(-0.703954\pi\)
0.708420 + 0.705792i \(0.249408\pi\)
\(522\) −6.41662 3.61299i −0.280848 0.158136i
\(523\) 4.99151 + 7.76694i 0.218264 + 0.339625i 0.933068 0.359699i \(-0.117121\pi\)
−0.714805 + 0.699324i \(0.753484\pi\)
\(524\) −20.9490 10.2345i −0.915160 0.447096i
\(525\) 12.9198 + 8.30305i 0.563866 + 0.362375i
\(526\) −18.3373 1.55174i −0.799545 0.0676591i
\(527\) −6.96181 2.04417i −0.303261 0.0890456i
\(528\) 1.70621 2.37343i 0.0742531 0.103290i
\(529\) −13.2289 18.8148i −0.575168 0.818035i
\(530\) −12.3767 16.9900i −0.537608 0.737998i
\(531\) −8.28346 2.43224i −0.359471 0.105550i
\(532\) −7.47582 + 4.53379i −0.324118 + 0.196565i
\(533\) 6.76880 10.5325i 0.293189 0.456211i
\(534\) −10.3833 19.6187i −0.449330 0.848984i
\(535\) −12.1262 18.8688i −0.524263 0.815769i
\(536\) 17.0261 15.7453i 0.735415 0.680093i
\(537\) −1.38997 1.60411i −0.0599817 0.0692226i
\(538\) −0.316762 0.325120i −0.0136566 0.0140169i
\(539\) −8.36320 3.81934i −0.360228 0.164511i
\(540\) 0.0644043 2.47252i 0.00277152 0.106400i
\(541\) −0.914518 3.11456i −0.0393182 0.133905i 0.937495 0.347999i \(-0.113139\pi\)
−0.976813 + 0.214093i \(0.931320\pi\)
\(542\) 1.34102 + 6.57564i 0.0576016 + 0.282448i
\(543\) −1.07114 7.44993i −0.0459669 0.319707i
\(544\) 17.2620 + 19.6698i 0.740101 + 0.843338i
\(545\) −2.92399 6.40265i −0.125250 0.274259i
\(546\) −4.73782 + 12.2145i −0.202760 + 0.522731i
\(547\) −2.01238 + 13.9964i −0.0860430 + 0.598442i 0.900490 + 0.434877i \(0.143208\pi\)
−0.986533 + 0.163565i \(0.947701\pi\)
\(548\) −14.6471 17.8209i −0.625693 0.761271i
\(549\) −6.08332 + 7.02052i −0.259630 + 0.299629i
\(550\) −3.37664 + 1.20958i −0.143980 + 0.0515765i
\(551\) −5.14410 −0.219146
\(552\) 2.17526 13.3891i 0.0925851 0.569878i
\(553\) 68.3141 2.90501
\(554\) −32.4557 + 11.6263i −1.37891 + 0.493953i
\(555\) 3.92973 4.53515i 0.166808 0.192507i
\(556\) 14.2658 11.7252i 0.605006 0.497258i
\(557\) 1.55921 10.8445i 0.0660659 0.459498i −0.929756 0.368177i \(-0.879982\pi\)
0.995822 0.0913210i \(-0.0291089\pi\)
\(558\) −0.802109 + 2.06790i −0.0339560 + 0.0875410i
\(559\) 6.46849 + 14.1640i 0.273588 + 0.599074i
\(560\) −1.98301 21.7996i −0.0837973 0.921203i
\(561\) 0.481128 + 3.34632i 0.0203133 + 0.141282i
\(562\) −4.36570 21.4071i −0.184156 0.903002i
\(563\) 7.56910 + 25.7780i 0.318999 + 1.08641i 0.950419 + 0.310971i \(0.100654\pi\)
−0.631420 + 0.775441i \(0.717528\pi\)
\(564\) −6.41782 0.167172i −0.270239 0.00703920i
\(565\) 4.33512 + 1.97978i 0.182380 + 0.0832901i
\(566\) −3.90261 4.00559i −0.164039 0.168368i
\(567\) −2.89781 3.34425i −0.121697 0.140446i
\(568\) −16.1898 + 14.9719i −0.679309 + 0.628208i
\(569\) 17.2572 + 26.8527i 0.723460 + 1.12573i 0.986944 + 0.161062i \(0.0514919\pi\)
−0.263484 + 0.964664i \(0.584872\pi\)
\(570\) −0.808225 1.52710i −0.0338528 0.0639630i
\(571\) −18.8554 + 29.3396i −0.789075 + 1.22783i 0.180631 + 0.983551i \(0.442186\pi\)
−0.969706 + 0.244274i \(0.921450\pi\)
\(572\) −1.58662 2.61620i −0.0663400 0.109389i
\(573\) −3.63447 1.06718i −0.151832 0.0445819i
\(574\) 22.0362 + 30.2501i 0.919773 + 1.26261i
\(575\) −11.5221 + 12.0118i −0.480503 + 0.500925i
\(576\) 6.43643 4.75103i 0.268185 0.197960i
\(577\) 9.67550 + 2.84098i 0.402796 + 0.118272i 0.476854 0.878982i \(-0.341777\pi\)
−0.0740583 + 0.997254i \(0.523595\pi\)
\(578\) −6.20386 0.524983i −0.258046 0.0218364i
\(579\) 18.6819 + 12.0061i 0.776394 + 0.498958i
\(580\) 5.65333 11.5718i 0.234742 0.480492i
\(581\) 20.1047 + 31.2835i 0.834084 + 1.29786i
\(582\) 4.02549 + 2.26662i 0.166862 + 0.0939544i
\(583\) 6.63770 5.75160i 0.274905 0.238207i
\(584\) 16.8617 + 33.9704i 0.697744 + 1.40571i
\(585\) −2.35503 1.07550i −0.0973684 0.0444666i
\(586\) −11.1992 8.61340i −0.462634 0.355816i
\(587\) 25.1896 7.39633i 1.03969 0.305279i 0.283042 0.959107i \(-0.408656\pi\)
0.756643 + 0.653828i \(0.226838\pi\)
\(588\) −18.5812 16.9677i −0.766276 0.699735i
\(589\) 0.220504 + 1.53364i 0.00908572 + 0.0631925i
\(590\) 3.40131 14.7107i 0.140030 0.605630i
\(591\) −10.2317 + 4.67265i −0.420875 + 0.192207i
\(592\) 19.3833 + 1.01048i 0.796648 + 0.0415304i
\(593\) −4.76892 + 33.1686i −0.195836 + 1.36207i 0.620370 + 0.784309i \(0.286982\pi\)
−0.816206 + 0.577761i \(0.803927\pi\)
\(594\) 1.03170 0.0602979i 0.0423312 0.00247405i
\(595\) 19.1332 + 16.5791i 0.784387 + 0.679675i
\(596\) −10.4209 + 15.3228i −0.426858 + 0.627646i
\(597\) −2.61731 −0.107119
\(598\) −12.0042 7.58324i −0.490888 0.310102i
\(599\) 39.2585i 1.60406i 0.597285 + 0.802029i \(0.296246\pi\)
−0.597285 + 0.802029i \(0.703754\pi\)
\(600\) −9.81127 + 0.317374i −0.400543 + 0.0129567i
\(601\) −15.4433 + 17.8225i −0.629944 + 0.726994i −0.977563 0.210642i \(-0.932445\pi\)
0.347619 + 0.937636i \(0.386990\pi\)
\(602\) −46.4669 + 2.71577i −1.89385 + 0.110686i
\(603\) 8.11565 + 1.16685i 0.330495 + 0.0475180i
\(604\) −21.9100 + 5.81815i −0.891506 + 0.236737i
\(605\) −5.37674 11.7734i −0.218596 0.478658i
\(606\) −8.69928 2.01139i −0.353384 0.0817072i
\(607\) 27.0325 3.88668i 1.09721 0.157756i 0.430151 0.902757i \(-0.358460\pi\)
0.667063 + 0.745001i \(0.267551\pi\)
\(608\) 2.28949 5.09796i 0.0928511 0.206750i
\(609\) −6.49158 22.1083i −0.263052 0.895873i
\(610\) −12.8782 9.90478i −0.521425 0.401033i
\(611\) −2.79164 + 6.11285i −0.112938 + 0.247299i
\(612\) −1.55481 + 9.12099i −0.0628494 + 0.368694i
\(613\) 7.44027 + 8.58653i 0.300510 + 0.346807i 0.885842 0.463987i \(-0.153581\pi\)
−0.585332 + 0.810793i \(0.699036\pi\)
\(614\) 19.4051 34.4632i 0.783125 1.39082i
\(615\) −6.22178 + 3.99849i −0.250886 + 0.161235i
\(616\) 9.00638 1.59367i 0.362878 0.0642109i
\(617\) −1.73083 + 2.69322i −0.0696806 + 0.108425i −0.874345 0.485304i \(-0.838709\pi\)
0.804665 + 0.593730i \(0.202345\pi\)
\(618\) −21.2143 1.79520i −0.853366 0.0722135i
\(619\) 13.3916 45.6075i 0.538252 1.83312i −0.0146806 0.999892i \(-0.504673\pi\)
0.552933 0.833226i \(-0.313509\pi\)
\(620\) −3.69229 1.18943i −0.148286 0.0477686i
\(621\) 4.16047 2.38547i 0.166954 0.0957255i
\(622\) −8.12518 + 5.91893i −0.325790 + 0.237327i
\(623\) 19.5676 66.6412i 0.783960 2.66992i
\(624\) −1.93773 8.14672i −0.0775713 0.326130i
\(625\) 3.70011 + 2.37792i 0.148005 + 0.0951167i
\(626\) 13.9157 + 26.2930i 0.556185 + 1.05088i
\(627\) 0.607328 0.390306i 0.0242544 0.0155873i
\(628\) −8.28942 + 0.972274i −0.330784 + 0.0387979i
\(629\) −16.9655 + 14.7007i −0.676459 + 0.586155i
\(630\) 5.54320 5.40069i 0.220846 0.215169i
\(631\) −19.5919 + 42.9003i −0.779942 + 1.70783i −0.0765122 + 0.997069i \(0.524378\pi\)
−0.703429 + 0.710765i \(0.748349\pi\)
\(632\) −35.9509 + 24.7824i −1.43005 + 0.985791i
\(633\) −9.23936 + 2.71292i −0.367232 + 0.107829i
\(634\) −7.24092 35.5056i −0.287574 1.41011i
\(635\) 7.73019 1.11143i 0.306763 0.0441059i
\(636\) 22.1180 9.41283i 0.877034 0.373243i
\(637\) −23.9589 + 10.9416i −0.949285 + 0.433524i
\(638\) 5.01707 + 1.94605i 0.198628 + 0.0770450i
\(639\) −7.71702 1.10954i −0.305281 0.0438927i
\(640\) 8.95186 + 10.7529i 0.353853 + 0.425045i
\(641\) −10.2819 8.90928i −0.406109 0.351895i 0.427727 0.903908i \(-0.359315\pi\)
−0.833836 + 0.552013i \(0.813860\pi\)
\(642\) 24.1467 8.64982i 0.952996 0.341381i
\(643\) 49.7801i 1.96314i −0.191111 0.981568i \(-0.561209\pi\)
0.191111 0.981568i \(-0.438791\pi\)
\(644\) 34.1108 25.2574i 1.34416 0.995281i
\(645\) 9.19825i 0.362181i
\(646\) 2.17970 + 6.08483i 0.0857592 + 0.239404i
\(647\) −34.7448 30.1065i −1.36596 1.18361i −0.963354 0.268234i \(-0.913560\pi\)
−0.402604 0.915374i \(-0.631895\pi\)
\(648\) 2.73820 + 0.708702i 0.107567 + 0.0278404i
\(649\) 6.24461 + 0.897840i 0.245123 + 0.0352433i
\(650\) −3.71591 + 9.57988i −0.145750 + 0.375754i
\(651\) −6.31300 + 2.88305i −0.247426 + 0.112996i
\(652\) 15.4343 6.56845i 0.604455 0.257241i
\(653\) −20.9353 + 3.01005i −0.819263 + 0.117792i −0.539187 0.842186i \(-0.681269\pi\)
−0.280075 + 0.959978i \(0.590359\pi\)
\(654\) 7.88684 1.60842i 0.308400 0.0628942i
\(655\) 13.8328 4.06168i 0.540493 0.158703i
\(656\) −22.5706 7.92528i −0.881234 0.309430i
\(657\) −5.57010 + 12.1968i −0.217310 + 0.475843i
\(658\) −14.0184 14.3883i −0.546492 0.560913i
\(659\) −20.0271 + 17.3536i −0.780147 + 0.676001i −0.950964 0.309302i \(-0.899905\pi\)
0.170817 + 0.985303i \(0.445359\pi\)
\(660\) 0.210554 + 1.79514i 0.00819581 + 0.0698759i
\(661\) 19.3448 12.4322i 0.752426 0.483555i −0.107353 0.994221i \(-0.534238\pi\)
0.859779 + 0.510666i \(0.170601\pi\)
\(662\) −21.6605 + 11.4640i −0.841860 + 0.445559i
\(663\) 8.14763 + 5.23617i 0.316428 + 0.203356i
\(664\) −21.9291 9.16984i −0.851012 0.355859i
\(665\) 1.52312 5.18727i 0.0590640 0.201154i
\(666\) 4.04056 + 5.54666i 0.156569 + 0.214929i
\(667\) 24.8660 2.29930i 0.962817 0.0890292i
\(668\) −1.19549 0.385113i −0.0462549 0.0149005i
\(669\) −0.413589 + 1.40856i −0.0159903 + 0.0544579i
\(670\) −1.20913 + 14.2886i −0.0467127 + 0.552016i
\(671\) 3.67011 5.71080i 0.141683 0.220463i
\(672\) 24.7992 + 3.40640i 0.956650 + 0.131405i
\(673\) 37.2842 23.9611i 1.43720 0.923632i 0.437497 0.899220i \(-0.355865\pi\)
0.999702 0.0244118i \(-0.00777130\pi\)
\(674\) 12.9407 + 7.28649i 0.498458 + 0.280665i
\(675\) −2.27277 2.62292i −0.0874791 0.100956i
\(676\) 16.9895 + 2.89610i 0.653440 + 0.111389i
\(677\) −2.69503 + 5.90128i −0.103578 + 0.226805i −0.954325 0.298772i \(-0.903423\pi\)
0.850746 + 0.525576i \(0.176150\pi\)
\(678\) −3.32257 + 4.32002i −0.127603 + 0.165909i
\(679\) 4.07251 + 13.8697i 0.156289 + 0.532270i
\(680\) −16.0834 1.78389i −0.616772 0.0684090i
\(681\) 2.68446 0.385968i 0.102869 0.0147903i
\(682\) 0.365129 1.57919i 0.0139815 0.0604702i
\(683\) 12.4250 + 27.2069i 0.475429 + 1.04104i 0.983695 + 0.179844i \(0.0575592\pi\)
−0.508267 + 0.861200i \(0.669714\pi\)
\(684\) 1.90964 0.507100i 0.0730169 0.0193895i
\(685\) 14.1185 + 2.02994i 0.539442 + 0.0775600i
\(686\) −2.03791 34.8687i −0.0778077 1.33129i
\(687\) 13.3824 15.4441i 0.510569 0.589228i
\(688\) 23.4685 18.2861i 0.894726 0.697150i
\(689\) 25.1613i 0.958570i
\(690\) 4.58945 + 7.02056i 0.174717 + 0.267268i
\(691\) 31.1812 1.18619 0.593094 0.805133i \(-0.297906\pi\)
0.593094 + 0.805133i \(0.297906\pi\)
\(692\) 9.67549 + 6.58024i 0.367807 + 0.250143i
\(693\) 2.44387 + 2.11763i 0.0928350 + 0.0804420i
\(694\) −2.72032 46.5449i −0.103262 1.76682i
\(695\) −1.62499 + 11.3021i −0.0616394 + 0.428712i
\(696\) 11.4365 + 9.27973i 0.433499 + 0.351747i
\(697\) 25.1668 11.4933i 0.953260 0.435339i
\(698\) −19.9880 4.62150i −0.756558 0.174926i
\(699\) 2.26064 + 15.7231i 0.0855053 + 0.594702i
\(700\) −22.6817 20.7121i −0.857286 0.782843i
\(701\) −20.0940 + 5.90014i −0.758941 + 0.222845i −0.638233 0.769843i \(-0.720335\pi\)
−0.120708 + 0.992688i \(0.538516\pi\)
\(702\) 1.80496 2.34682i 0.0681240 0.0885751i
\(703\) 4.36054 + 1.99139i 0.164461 + 0.0751068i
\(704\) −4.16155 + 4.10594i −0.156844 + 0.154748i
\(705\) 3.00013 2.59963i 0.112991 0.0979077i
\(706\) −19.7509 + 35.0774i −0.743335 + 1.32015i
\(707\) −15.1045 23.5031i −0.568065 0.883926i
\(708\) 15.5139 + 7.57923i 0.583048 + 0.284845i
\(709\) −1.90619 1.22503i −0.0715884 0.0460071i 0.504357 0.863495i \(-0.331730\pi\)
−0.575945 + 0.817488i \(0.695366\pi\)
\(710\) 1.14974 13.5868i 0.0431489 0.509902i
\(711\) −14.8126 4.34937i −0.555515 0.163114i
\(712\) 13.8779 + 42.1691i 0.520095 + 1.58035i
\(713\) −1.75140 7.31490i −0.0655903 0.273945i
\(714\) −23.4007 + 17.0466i −0.875748 + 0.637954i
\(715\) 1.81531 + 0.533023i 0.0678887 + 0.0199339i
\(716\) 2.20130 + 3.62975i 0.0822665 + 0.135650i
\(717\) 2.14393 3.33602i 0.0800664 0.124586i
\(718\) −4.90112 + 2.59395i −0.182908 + 0.0968053i
\(719\) 20.7821 + 32.3376i 0.775042 + 1.20599i 0.974126 + 0.226006i \(0.0725669\pi\)
−0.199084 + 0.979982i \(0.563797\pi\)
\(720\) −0.957946 + 4.85308i −0.0357005 + 0.180864i
\(721\) −43.6249 50.3458i −1.62468 1.87498i
\(722\) −18.2572 + 17.7878i −0.679462 + 0.661994i
\(723\) −14.1927 6.48158i −0.527832 0.241053i
\(724\) −0.391970 + 15.0480i −0.0145675 + 0.559254i
\(725\) −5.09139 17.3397i −0.189089 0.643979i
\(726\) 14.5026 2.95762i 0.538243 0.109768i
\(727\) 3.36225 + 23.3849i 0.124699 + 0.867299i 0.952122 + 0.305720i \(0.0988971\pi\)
−0.827423 + 0.561580i \(0.810194\pi\)
\(728\) 13.4460 22.4892i 0.498340 0.833507i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −21.8634 8.48053i −0.809202 0.313878i
\(731\) −4.89700 + 34.0594i −0.181122 + 1.25973i
\(732\) 14.3531 11.7969i 0.530506 0.436026i
\(733\) 9.05965 10.4554i 0.334626 0.386179i −0.563354 0.826216i \(-0.690489\pi\)
0.897980 + 0.440037i \(0.145035\pi\)
\(734\) 9.94478 + 27.7617i 0.367068 + 1.02470i
\(735\) 15.5591 0.573907
\(736\) −8.78848 + 25.6664i −0.323948 + 0.946075i
\(737\) −5.99163 −0.220705
\(738\) −2.85218 7.96212i −0.104990 0.293090i
\(739\) −19.0633 + 22.0002i −0.701254 + 0.809290i −0.988921 0.148440i \(-0.952575\pi\)
0.287668 + 0.957730i \(0.407120\pi\)
\(740\) −9.27189 + 7.62062i −0.340841 + 0.280140i
\(741\) 0.294334 2.04714i 0.0108126 0.0752036i
\(742\) 70.1233 + 27.1999i 2.57431 + 0.998539i
\(743\) −16.1984 35.4695i −0.594260 1.30125i −0.932833 0.360308i \(-0.882671\pi\)
0.338573 0.940940i \(-0.390056\pi\)
\(744\) 2.27639 3.80741i 0.0834564 0.139586i
\(745\) −1.63068 11.3416i −0.0597433 0.415524i
\(746\) 32.4875 6.62541i 1.18945 0.242573i
\(747\) −2.36758 8.06323i −0.0866252 0.295018i
\(748\) 0.176063 6.75917i 0.00643751 0.247140i
\(749\) 73.0040 + 33.3398i 2.66751 + 1.21821i
\(750\) 10.6110 10.3382i 0.387457 0.377496i
\(751\) 1.45464 + 1.67874i 0.0530806 + 0.0612582i 0.781669 0.623694i \(-0.214369\pi\)
−0.728588 + 0.684952i \(0.759823\pi\)
\(752\) 12.5969 + 2.48650i 0.459363 + 0.0906733i
\(753\) 10.1380 + 15.7750i 0.369448 + 0.574872i
\(754\) 13.6256 7.21143i 0.496215 0.262625i
\(755\) 7.57837 11.7922i 0.275805 0.429161i
\(756\) 4.58927 + 7.56730i 0.166910 + 0.275220i
\(757\) −5.03249 1.47767i −0.182909 0.0537069i 0.188995 0.981978i \(-0.439477\pi\)
−0.371904 + 0.928271i \(0.621295\pi\)
\(758\) −37.6881 + 27.4545i −1.36889 + 0.997194i
\(759\) −2.76130 + 2.15816i −0.100229 + 0.0783363i
\(760\) 1.08024 + 3.28239i 0.0391843 + 0.119065i
\(761\) −48.2097 14.1556i −1.74760 0.513142i −0.757418 0.652930i \(-0.773540\pi\)
−0.990181 + 0.139789i \(0.955358\pi\)
\(762\) −0.753052 + 8.89901i −0.0272802 + 0.322377i
\(763\) 21.1878 + 13.6165i 0.767048 + 0.492952i
\(764\) 6.80691 + 3.32548i 0.246265 + 0.120312i
\(765\) −3.09313 4.81300i −0.111832 0.174015i
\(766\) −15.1197 + 26.8525i −0.546298 + 0.970219i
\(767\) 13.6591 11.8356i 0.493200 0.427360i
\(768\) −14.2866 + 7.20378i −0.515521 + 0.259944i
\(769\) 6.34962 + 2.89977i 0.228973 + 0.104569i 0.526598 0.850114i \(-0.323467\pi\)
−0.297625 + 0.954683i \(0.596195\pi\)
\(770\) −3.44789 + 4.48296i −0.124253 + 0.161555i
\(771\) −12.6232 + 3.70652i −0.454615 + 0.133487i
\(772\) −32.7975 29.9495i −1.18041 1.07791i
\(773\) −0.775966 5.39696i −0.0279096 0.194115i 0.971097 0.238687i \(-0.0767169\pi\)
−0.999006 + 0.0445714i \(0.985808\pi\)