Properties

Label 690.2.n.a.89.17
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
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 89.17
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.804725 + 1.53376i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.14469 + 1.92086i) q^{5} +(1.40362 - 1.01481i) q^{6} +(-0.955977 + 0.614369i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.70483 + 2.46851i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(0.804725 + 1.53376i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(1.14469 + 1.92086i) q^{5} +(1.40362 - 1.01481i) q^{6} +(-0.955977 + 0.614369i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-1.70483 + 2.46851i) q^{9} +(1.73840 - 1.40640i) q^{10} +(-0.130034 + 0.904408i) q^{11} +(-1.20424 - 1.24491i) q^{12} +(2.47130 - 3.84542i) q^{13} +(0.744166 + 0.858813i) q^{14} +(-2.02498 + 3.30143i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.74601 + 5.94637i) q^{17} +(2.68601 + 1.33618i) q^{18} +(0.111059 + 0.378232i) q^{19} +(-1.63949 - 1.52055i) q^{20} +(-1.71159 - 0.971841i) q^{21} +0.913708 q^{22} +(1.02121 - 4.68584i) q^{23} +(-1.06086 + 1.36915i) q^{24} +(-2.37939 + 4.39756i) q^{25} +(-4.15798 - 1.89889i) q^{26} +(-5.15802 - 0.628334i) q^{27} +(0.744166 - 0.858813i) q^{28} +(-2.85664 + 9.72883i) q^{29} +(3.55602 + 1.53452i) q^{30} +(3.71757 + 8.14034i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(-1.49179 + 0.528359i) q^{33} +(6.13433 + 0.881983i) q^{34} +(-2.27441 - 1.13304i) q^{35} +(0.940317 - 2.84882i) q^{36} +(-4.47941 - 5.16952i) q^{37} +(0.358577 - 0.163757i) q^{38} +(7.88666 + 0.695875i) q^{39} +(-1.27175 + 1.83920i) q^{40} +(-7.60595 - 6.59060i) q^{41} +(-0.718363 + 1.83248i) q^{42} +(1.93387 - 4.23459i) q^{43} +(-0.130034 - 0.904408i) q^{44} +(-6.69316 - 0.449078i) q^{45} +(-4.78348 - 0.343953i) q^{46} +8.91322 q^{47} +(1.50619 + 0.855213i) q^{48} +(-2.37146 + 5.19278i) q^{49} +(4.69142 + 1.72933i) q^{50} +(-10.5254 + 2.10723i) q^{51} +(-1.28782 + 4.38590i) q^{52} +(0.827835 + 1.28814i) q^{53} +(0.112124 + 5.19494i) q^{54} +(-1.88609 + 0.785485i) q^{55} +(-0.955977 - 0.614369i) q^{56} +(-0.490745 + 0.474711i) q^{57} +(10.0363 + 1.44301i) q^{58} +(-2.84841 + 4.43222i) q^{59} +(1.01283 - 3.73821i) q^{60} +(6.70797 - 3.06343i) q^{61} +(7.52841 - 4.83822i) q^{62} +(0.113207 - 3.40724i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(10.2154 + 0.345222i) q^{65} +(0.735284 + 1.40141i) q^{66} +(0.882061 + 6.13487i) q^{67} -6.19741i q^{68} +(8.00875 - 2.20452i) q^{69} +(-0.797822 + 2.41251i) q^{70} +(9.58910 - 1.37871i) q^{71} +(-2.95365 - 0.525316i) q^{72} +(1.47294 + 5.01637i) q^{73} +(-4.47941 + 5.16952i) q^{74} +(-8.65955 - 0.110587i) q^{75} +(-0.213121 - 0.331622i) q^{76} +(-0.431331 - 0.944482i) q^{77} +(-0.433598 - 7.90542i) q^{78} +(1.62557 - 2.52943i) q^{79} +(2.00146 + 0.997065i) q^{80} +(-3.18708 - 8.41680i) q^{81} +(-5.44107 + 8.46648i) q^{82} +(7.96766 - 6.90401i) q^{83} +(1.91606 + 0.450263i) q^{84} +(-13.4208 + 3.45288i) q^{85} +(-4.46670 - 1.31154i) q^{86} +(-17.2205 + 3.44763i) q^{87} +(-0.876696 + 0.257421i) q^{88} +(6.57963 - 14.4074i) q^{89} +(0.508028 + 6.68894i) q^{90} +5.19442i q^{91} +(0.340309 + 4.78374i) q^{92} +(-9.49370 + 12.2526i) q^{93} +(-1.26848 - 8.82250i) q^{94} +(-0.599403 + 0.646286i) q^{95} +(0.632155 - 1.61257i) q^{96} +(10.6822 - 12.3279i) q^{97} +(5.47742 + 1.60831i) q^{98} +(-2.01085 - 1.86286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) 0.804725 + 1.53376i 0.464608 + 0.885516i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 1.14469 + 1.92086i 0.511919 + 0.859034i
\(6\) 1.40362 1.01481i 0.573027 0.414295i
\(7\) −0.955977 + 0.614369i −0.361325 + 0.232210i −0.708689 0.705521i \(-0.750713\pi\)
0.347364 + 0.937730i \(0.387077\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −1.70483 + 2.46851i −0.568278 + 0.822836i
\(10\) 1.73840 1.40640i 0.549731 0.444743i
\(11\) −0.130034 + 0.904408i −0.0392068 + 0.272689i −0.999989 0.00461363i \(-0.998531\pi\)
0.960783 + 0.277303i \(0.0894405\pi\)
\(12\) −1.20424 1.24491i −0.347634 0.359376i
\(13\) 2.47130 3.84542i 0.685415 1.06653i −0.307936 0.951407i \(-0.599638\pi\)
0.993352 0.115120i \(-0.0367253\pi\)
\(14\) 0.744166 + 0.858813i 0.198887 + 0.229527i
\(15\) −2.02498 + 3.30143i −0.522847 + 0.852427i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.74601 + 5.94637i −0.423470 + 1.44221i 0.421224 + 0.906957i \(0.361601\pi\)
−0.844694 + 0.535250i \(0.820217\pi\)
\(18\) 2.68601 + 1.33618i 0.633098 + 0.314940i
\(19\) 0.111059 + 0.378232i 0.0254787 + 0.0867725i 0.971251 0.238058i \(-0.0765109\pi\)
−0.945772 + 0.324831i \(0.894693\pi\)
\(20\) −1.63949 1.52055i −0.366600 0.340006i
\(21\) −1.71159 0.971841i −0.373500 0.212073i
\(22\) 0.913708 0.194803
\(23\) 1.02121 4.68584i 0.212937 0.977066i
\(24\) −1.06086 + 1.36915i −0.216547 + 0.279477i
\(25\) −2.37939 + 4.39756i −0.475878 + 0.879511i
\(26\) −4.15798 1.89889i −0.815447 0.372402i
\(27\) −5.15802 0.628334i −0.992662 0.120923i
\(28\) 0.744166 0.858813i 0.140634 0.162300i
\(29\) −2.85664 + 9.72883i −0.530465 + 1.80660i 0.0583057 + 0.998299i \(0.481430\pi\)
−0.588771 + 0.808300i \(0.700388\pi\)
\(30\) 3.55602 + 1.53452i 0.649237 + 0.280164i
\(31\) 3.71757 + 8.14034i 0.667695 + 1.46205i 0.875174 + 0.483808i \(0.160747\pi\)
−0.207479 + 0.978239i \(0.566526\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) −1.49179 + 0.528359i −0.259687 + 0.0919754i
\(34\) 6.13433 + 0.881983i 1.05203 + 0.151259i
\(35\) −2.27441 1.13304i −0.384445 0.191518i
\(36\) 0.940317 2.84882i 0.156720 0.474804i
\(37\) −4.47941 5.16952i −0.736411 0.849864i 0.256767 0.966473i \(-0.417343\pi\)
−0.993178 + 0.116610i \(0.962797\pi\)
\(38\) 0.358577 0.163757i 0.0581689 0.0265648i
\(39\) 7.88666 + 0.695875i 1.26288 + 0.111429i
\(40\) −1.27175 + 1.83920i −0.201082 + 0.290802i
\(41\) −7.60595 6.59060i −1.18785 1.02928i −0.998881 0.0472953i \(-0.984940\pi\)
−0.188969 0.981983i \(-0.560515\pi\)
\(42\) −0.718363 + 1.83248i −0.110846 + 0.282758i
\(43\) 1.93387 4.23459i 0.294913 0.645769i −0.702941 0.711248i \(-0.748130\pi\)
0.997854 + 0.0654792i \(0.0208576\pi\)
\(44\) −0.130034 0.904408i −0.0196034 0.136345i
\(45\) −6.69316 0.449078i −0.997757 0.0669446i
\(46\) −4.78348 0.343953i −0.705286 0.0507130i
\(47\) 8.91322 1.30013 0.650063 0.759880i \(-0.274742\pi\)
0.650063 + 0.759880i \(0.274742\pi\)
\(48\) 1.50619 + 0.855213i 0.217400 + 0.123439i
\(49\) −2.37146 + 5.19278i −0.338780 + 0.741825i
\(50\) 4.69142 + 1.72933i 0.663467 + 0.244565i
\(51\) −10.5254 + 2.10723i −1.47385 + 0.295072i
\(52\) −1.28782 + 4.38590i −0.178588 + 0.608215i
\(53\) 0.827835 + 1.28814i 0.113712 + 0.176939i 0.893445 0.449173i \(-0.148281\pi\)
−0.779733 + 0.626113i \(0.784645\pi\)
\(54\) 0.112124 + 5.19494i 0.0152582 + 0.706942i
\(55\) −1.88609 + 0.785485i −0.254320 + 0.105915i
\(56\) −0.955977 0.614369i −0.127748 0.0820986i
\(57\) −0.490745 + 0.474711i −0.0650008 + 0.0628770i
\(58\) 10.0363 + 1.44301i 1.31784 + 0.189476i
\(59\) −2.84841 + 4.43222i −0.370832 + 0.577025i −0.975649 0.219339i \(-0.929610\pi\)
0.604817 + 0.796365i \(0.293246\pi\)
\(60\) 1.01283 3.73821i 0.130756 0.482600i
\(61\) 6.70797 3.06343i 0.858868 0.392232i 0.0632259 0.997999i \(-0.479861\pi\)
0.795642 + 0.605768i \(0.207134\pi\)
\(62\) 7.52841 4.83822i 0.956110 0.614454i
\(63\) 0.113207 3.40724i 0.0142627 0.429272i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 10.2154 + 0.345222i 1.26706 + 0.0428195i
\(66\) 0.735284 + 1.40141i 0.0905072 + 0.172501i
\(67\) 0.882061 + 6.13487i 0.107761 + 0.749493i 0.970020 + 0.243026i \(0.0781399\pi\)
−0.862259 + 0.506468i \(0.830951\pi\)
\(68\) 6.19741i 0.751546i
\(69\) 8.00875 2.20452i 0.964140 0.265393i
\(70\) −0.797822 + 2.41251i −0.0953580 + 0.288350i
\(71\) 9.58910 1.37871i 1.13802 0.163622i 0.452559 0.891734i \(-0.350511\pi\)
0.685458 + 0.728112i \(0.259602\pi\)
\(72\) −2.95365 0.525316i −0.348091 0.0619091i
\(73\) 1.47294 + 5.01637i 0.172395 + 0.587122i 0.999679 + 0.0253387i \(0.00806644\pi\)
−0.827284 + 0.561784i \(0.810115\pi\)
\(74\) −4.47941 + 5.16952i −0.520721 + 0.600945i
\(75\) −8.65955 0.110587i −0.999918 0.0127694i
\(76\) −0.213121 0.331622i −0.0244466 0.0380397i
\(77\) −0.431331 0.944482i −0.0491547 0.107634i
\(78\) −0.433598 7.90542i −0.0490953 0.895113i
\(79\) 1.62557 2.52943i 0.182891 0.284584i −0.737687 0.675143i \(-0.764082\pi\)
0.920578 + 0.390559i \(0.127718\pi\)
\(80\) 2.00146 + 0.997065i 0.223771 + 0.111475i
\(81\) −3.18708 8.41680i −0.354120 0.935200i
\(82\) −5.44107 + 8.46648i −0.600866 + 0.934966i
\(83\) 7.96766 6.90401i 0.874564 0.757814i −0.0968267 0.995301i \(-0.530869\pi\)
0.971391 + 0.237487i \(0.0763238\pi\)
\(84\) 1.91606 + 0.450263i 0.209059 + 0.0491277i
\(85\) −13.4208 + 3.45288i −1.45569 + 0.374518i
\(86\) −4.46670 1.31154i −0.481657 0.141427i
\(87\) −17.2205 + 3.44763i −1.84623 + 0.369625i
\(88\) −0.876696 + 0.257421i −0.0934561 + 0.0274412i
\(89\) 6.57963 14.4074i 0.697439 1.52718i −0.145610 0.989342i \(-0.546514\pi\)
0.843049 0.537837i \(-0.180758\pi\)
\(90\) 0.508028 + 6.68894i 0.0535509 + 0.705076i
\(91\) 5.19442i 0.544524i
\(92\) 0.340309 + 4.78374i 0.0354796 + 0.498740i
\(93\) −9.49370 + 12.2526i −0.984450 + 1.27053i
\(94\) −1.26848 8.82250i −0.130834 0.909971i
\(95\) −0.599403 + 0.646286i −0.0614974 + 0.0663075i
\(96\) 0.632155 1.61257i 0.0645190 0.164582i
\(97\) 10.6822 12.3279i 1.08461 1.25171i 0.118677 0.992933i \(-0.462135\pi\)
0.965937 0.258778i \(-0.0833200\pi\)
\(98\) 5.47742 + 1.60831i 0.553303 + 0.162464i
\(99\) −2.01085 1.86286i −0.202098 0.187224i
\(100\) 1.04407 4.88978i 0.104407 0.488978i
\(101\) 4.75115 4.11690i 0.472757 0.409647i −0.385626 0.922655i \(-0.626015\pi\)
0.858384 + 0.513008i \(0.171469\pi\)
\(102\) 3.58370 + 10.1183i 0.354839 + 1.00186i
\(103\) −0.422456 + 2.93825i −0.0416259 + 0.289514i 0.958366 + 0.285542i \(0.0921735\pi\)
−0.999992 + 0.00397239i \(0.998736\pi\)
\(104\) 4.52453 + 0.650529i 0.443667 + 0.0637897i
\(105\) −0.0924690 4.40018i −0.00902405 0.429414i
\(106\) 1.15721 1.00273i 0.112398 0.0973938i
\(107\) 14.2352 6.50102i 1.37617 0.628477i 0.416381 0.909190i \(-0.363298\pi\)
0.959792 + 0.280713i \(0.0905708\pi\)
\(108\) 5.12611 0.850301i 0.493260 0.0818202i
\(109\) −1.71763 + 5.84972i −0.164519 + 0.560301i 0.835423 + 0.549607i \(0.185222\pi\)
−0.999943 + 0.0106947i \(0.996596\pi\)
\(110\) 1.04591 + 1.75510i 0.0997234 + 0.167343i
\(111\) 4.32410 11.0304i 0.410426 1.04696i
\(112\) −0.472066 + 1.03368i −0.0446061 + 0.0976737i
\(113\) −9.64896 + 1.38731i −0.907698 + 0.130507i −0.580322 0.814387i \(-0.697073\pi\)
−0.327376 + 0.944894i \(0.606164\pi\)
\(114\) 0.539719 + 0.418192i 0.0505494 + 0.0391673i
\(115\) 10.1698 3.40221i 0.948339 0.317258i
\(116\) 10.1396i 0.941434i
\(117\) 5.27929 + 12.6562i 0.488071 + 1.17007i
\(118\) 4.79247 + 2.18865i 0.441183 + 0.201482i
\(119\) −1.98412 6.75729i −0.181884 0.619440i
\(120\) −3.84430 0.470518i −0.350935 0.0429522i
\(121\) 9.75338 + 2.86385i 0.886671 + 0.260350i
\(122\) −3.98689 6.20372i −0.360956 0.561659i
\(123\) 3.98769 16.9693i 0.359557 1.53007i
\(124\) −5.86038 6.76324i −0.526277 0.607356i
\(125\) −11.1707 + 0.463350i −0.999141 + 0.0414433i
\(126\) −3.38867 + 0.372846i −0.301886 + 0.0332157i
\(127\) 14.7504 + 2.12078i 1.30888 + 0.188189i 0.761212 0.648504i \(-0.224605\pi\)
0.547673 + 0.836693i \(0.315514\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 8.05107 0.441586i 0.708858 0.0388795i
\(130\) −1.11209 10.1605i −0.0975368 0.891136i
\(131\) −0.345636 0.537820i −0.0301983 0.0469895i 0.825826 0.563925i \(-0.190709\pi\)
−0.856025 + 0.516935i \(0.827073\pi\)
\(132\) 1.28250 0.927241i 0.111627 0.0807060i
\(133\) −0.338544 0.293350i −0.0293555 0.0254367i
\(134\) 5.94689 1.74617i 0.513733 0.150846i
\(135\) −4.69737 10.6271i −0.404286 0.914633i
\(136\) −6.13433 + 0.881983i −0.526014 + 0.0756295i
\(137\) 10.6373i 0.908803i −0.890797 0.454402i \(-0.849853\pi\)
0.890797 0.454402i \(-0.150147\pi\)
\(138\) −3.32185 7.61350i −0.282774 0.648104i
\(139\) −9.73039 −0.825321 −0.412661 0.910885i \(-0.635400\pi\)
−0.412661 + 0.910885i \(0.635400\pi\)
\(140\) 2.50149 + 0.446366i 0.211415 + 0.0377248i
\(141\) 7.17269 + 13.6707i 0.604050 + 1.15128i
\(142\) −2.72934 9.29529i −0.229041 0.780043i
\(143\) 3.15647 + 2.73510i 0.263958 + 0.228721i
\(144\) −0.0996213 + 2.99835i −0.00830177 + 0.249862i
\(145\) −21.9577 + 5.64925i −1.82348 + 0.469145i
\(146\) 4.75569 2.17185i 0.393584 0.179744i
\(147\) −9.87285 + 0.541507i −0.814299 + 0.0446628i
\(148\) 5.75439 + 3.69812i 0.473008 + 0.303984i
\(149\) −1.24372 + 8.65025i −0.101889 + 0.708656i 0.873284 + 0.487212i \(0.161986\pi\)
−0.975173 + 0.221444i \(0.928923\pi\)
\(150\) 1.12292 + 8.58714i 0.0916861 + 0.701137i
\(151\) −1.99413 1.28155i −0.162280 0.104291i 0.456980 0.889477i \(-0.348931\pi\)
−0.619260 + 0.785186i \(0.712567\pi\)
\(152\) −0.297917 + 0.258146i −0.0241642 + 0.0209384i
\(153\) −11.7020 14.4476i −0.946052 1.16802i
\(154\) −0.873484 + 0.561354i −0.0703874 + 0.0452352i
\(155\) −11.3810 + 16.4590i −0.914143 + 1.32202i
\(156\) −7.76325 + 1.55424i −0.621557 + 0.124439i
\(157\) −17.4466 + 5.12278i −1.39239 + 0.408843i −0.890064 0.455836i \(-0.849340\pi\)
−0.502326 + 0.864678i \(0.667522\pi\)
\(158\) −2.73503 1.24905i −0.217587 0.0993688i
\(159\) −1.30951 + 2.30630i −0.103851 + 0.182901i
\(160\) 0.702078 2.12299i 0.0555041 0.167837i
\(161\) 1.90258 + 5.10696i 0.149945 + 0.402485i
\(162\) −7.87756 + 4.35247i −0.618920 + 0.341963i
\(163\) 15.4066 2.21514i 1.20674 0.173503i 0.490552 0.871412i \(-0.336795\pi\)
0.716186 + 0.697909i \(0.245886\pi\)
\(164\) 9.15464 + 4.18079i 0.714858 + 0.326465i
\(165\) −2.72253 2.26070i −0.211948 0.175996i
\(166\) −7.96766 6.90401i −0.618410 0.535855i
\(167\) −6.41448 1.88346i −0.496367 0.145747i 0.0239611 0.999713i \(-0.492372\pi\)
−0.520328 + 0.853966i \(0.674190\pi\)
\(168\) 0.172996 1.96064i 0.0133469 0.151266i
\(169\) −3.27952 7.18116i −0.252271 0.552397i
\(170\) 5.32771 + 12.7928i 0.408617 + 0.981161i
\(171\) −1.12301 0.370673i −0.0858785 0.0283461i
\(172\) −0.662515 + 4.60789i −0.0505163 + 0.351348i
\(173\) 2.76882 19.2576i 0.210510 1.46413i −0.560950 0.827850i \(-0.689564\pi\)
0.771460 0.636278i \(-0.219527\pi\)
\(174\) 5.86327 + 16.5546i 0.444494 + 1.25500i
\(175\) −0.427081 5.66579i −0.0322843 0.428293i
\(176\) 0.379568 + 0.831138i 0.0286110 + 0.0626494i
\(177\) −9.09014 0.802063i −0.683257 0.0602867i
\(178\) −15.1971 4.46227i −1.13907 0.334462i
\(179\) −3.40016 2.94626i −0.254140 0.220214i 0.518468 0.855097i \(-0.326503\pi\)
−0.772608 + 0.634883i \(0.781048\pi\)
\(180\) 6.54856 1.45479i 0.488101 0.108434i
\(181\) −13.5975 6.20977i −1.01069 0.461569i −0.159937 0.987127i \(-0.551129\pi\)
−0.850758 + 0.525558i \(0.823856\pi\)
\(182\) 5.14155 0.739244i 0.381117 0.0547964i
\(183\) 10.0966 + 7.82319i 0.746365 + 0.578307i
\(184\) 4.68662 1.01764i 0.345502 0.0750216i
\(185\) 4.80239 14.5218i 0.353079 1.06766i
\(186\) 13.4790 + 7.65334i 0.988326 + 0.561170i
\(187\) −5.15090 2.35234i −0.376671 0.172020i
\(188\) −8.55217 + 2.51114i −0.623731 + 0.183144i
\(189\) 5.31698 2.56826i 0.386754 0.186813i
\(190\) 0.725011 + 0.501326i 0.0525979 + 0.0363700i
\(191\) −6.66753 + 4.28496i −0.482445 + 0.310049i −0.759161 0.650903i \(-0.774390\pi\)
0.276715 + 0.960952i \(0.410754\pi\)
\(192\) −1.68612 0.396228i −0.121685 0.0285953i
\(193\) −5.97374 + 5.17628i −0.429999 + 0.372597i −0.842802 0.538224i \(-0.819095\pi\)
0.412802 + 0.910821i \(0.364550\pi\)
\(194\) −13.7227 8.81903i −0.985231 0.633170i
\(195\) 7.69107 + 15.9457i 0.550769 + 1.14190i
\(196\) 0.812427 5.65055i 0.0580305 0.403611i
\(197\) 4.26621 + 2.74173i 0.303955 + 0.195340i 0.683723 0.729742i \(-0.260360\pi\)
−0.379768 + 0.925082i \(0.623996\pi\)
\(198\) −1.55772 + 2.25550i −0.110702 + 0.160291i
\(199\) −10.9150 + 4.98472i −0.773745 + 0.353357i −0.762844 0.646583i \(-0.776197\pi\)
−0.0109014 + 0.999941i \(0.503470\pi\)
\(200\) −4.98859 0.337558i −0.352747 0.0238690i
\(201\) −8.69959 + 6.28975i −0.613622 + 0.443645i
\(202\) −4.75115 4.11690i −0.334290 0.289664i
\(203\) −3.24621 11.0556i −0.227839 0.775949i
\(204\) 9.50533 4.98721i 0.665507 0.349175i
\(205\) 3.95317 22.1541i 0.276102 1.54731i
\(206\) 2.96846 0.206823
\(207\) 9.82605 + 10.5095i 0.682958 + 0.730458i
\(208\) 4.57106i 0.316946i
\(209\) −0.356518 + 0.0512595i −0.0246608 + 0.00354569i
\(210\) −4.34223 + 0.717739i −0.299643 + 0.0495287i
\(211\) 15.8447 4.65242i 1.09079 0.320286i 0.313605 0.949554i \(-0.398463\pi\)
0.777188 + 0.629268i \(0.216645\pi\)
\(212\) −1.15721 1.00273i −0.0794777 0.0688678i
\(213\) 9.83120 + 13.5979i 0.673622 + 0.931713i
\(214\) −8.46074 13.1652i −0.578364 0.899952i
\(215\) 10.3477 1.13258i 0.705708 0.0772413i
\(216\) −1.57117 4.95292i −0.106904 0.337004i
\(217\) −8.55508 5.49802i −0.580757 0.373230i
\(218\) 6.03462 + 0.867648i 0.408716 + 0.0587645i
\(219\) −6.50860 + 6.29594i −0.439810 + 0.425440i
\(220\) 1.58839 1.28504i 0.107089 0.0866374i
\(221\) 18.5514 + 21.4094i 1.24790 + 1.44015i
\(222\) −11.5335 2.71030i −0.774078 0.181903i
\(223\) 5.77324 + 8.98334i 0.386605 + 0.601569i 0.978946 0.204118i \(-0.0654327\pi\)
−0.592341 + 0.805687i \(0.701796\pi\)
\(224\) 1.09034 + 0.320153i 0.0728515 + 0.0213911i
\(225\) −6.79894 13.3707i −0.453263 0.891377i
\(226\) 2.74638 + 9.35332i 0.182687 + 0.622173i
\(227\) −6.55117 2.99182i −0.434817 0.198574i 0.185967 0.982556i \(-0.440458\pi\)
−0.620784 + 0.783982i \(0.713186\pi\)
\(228\) 0.337125 0.593741i 0.0223267 0.0393214i
\(229\) 14.7923i 0.977502i −0.872423 0.488751i \(-0.837453\pi\)
0.872423 0.488751i \(-0.162547\pi\)
\(230\) −4.81490 9.58211i −0.317485 0.631825i
\(231\) 1.10151 1.42161i 0.0724738 0.0935348i
\(232\) −10.0363 + 1.44301i −0.658919 + 0.0947382i
\(233\) −3.13206 + 6.85824i −0.205188 + 0.449299i −0.984049 0.177898i \(-0.943070\pi\)
0.778861 + 0.627196i \(0.215798\pi\)
\(234\) 11.7761 7.02673i 0.769827 0.459352i
\(235\) 10.2028 + 17.1210i 0.665559 + 1.11685i
\(236\) 1.48433 5.05517i 0.0966218 0.329064i
\(237\) 5.18768 + 0.457731i 0.336976 + 0.0297329i
\(238\) −6.40614 + 2.92559i −0.415249 + 0.189638i
\(239\) 12.4756 10.8101i 0.806976 0.699249i −0.150231 0.988651i \(-0.548002\pi\)
0.957208 + 0.289402i \(0.0934564\pi\)
\(240\) 0.0813721 + 3.87213i 0.00525254 + 0.249945i
\(241\) 8.53816 + 1.22760i 0.549991 + 0.0790768i 0.411708 0.911316i \(-0.364932\pi\)
0.138283 + 0.990393i \(0.455842\pi\)
\(242\) 1.44665 10.0617i 0.0929942 0.646789i
\(243\) 10.3446 11.6614i 0.663608 0.748081i
\(244\) −5.57318 + 4.82919i −0.356786 + 0.309157i
\(245\) −12.6892 + 1.38886i −0.810681 + 0.0887308i
\(246\) −17.3641 1.53211i −1.10709 0.0976838i
\(247\) 1.72892 + 0.507657i 0.110009 + 0.0323015i
\(248\) −5.86038 + 6.76324i −0.372134 + 0.429466i
\(249\) 17.0009 + 6.66463i 1.07739 + 0.422354i
\(250\) 2.04839 + 10.9911i 0.129552 + 0.695138i
\(251\) 3.58418 + 24.9285i 0.226231 + 1.57347i 0.713776 + 0.700375i \(0.246984\pi\)
−0.487544 + 0.873098i \(0.662107\pi\)
\(252\) 0.851308 + 3.30111i 0.0536274 + 0.207951i
\(253\) 4.10512 + 1.53291i 0.258087 + 0.0963733i
\(254\) 14.9021i 0.935038i
\(255\) −16.0959 17.8056i −1.00797 1.11503i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −12.4856 + 3.66611i −0.778831 + 0.228686i −0.646902 0.762573i \(-0.723936\pi\)
−0.131930 + 0.991259i \(0.542117\pi\)
\(258\) −1.58288 7.90628i −0.0985457 0.492224i
\(259\) 7.45821 + 2.18993i 0.463431 + 0.136076i
\(260\) −9.89883 + 2.54676i −0.613899 + 0.157944i
\(261\) −19.1456 23.6377i −1.18508 1.46314i
\(262\) −0.483156 + 0.418657i −0.0298495 + 0.0258647i
\(263\) 9.83503 15.3036i 0.606454 0.943661i −0.393252 0.919431i \(-0.628650\pi\)
0.999706 0.0242305i \(-0.00771358\pi\)
\(264\) −1.10032 1.13749i −0.0677201 0.0700075i
\(265\) −1.52672 + 3.06467i −0.0937855 + 0.188261i
\(266\) −0.242185 + 0.376847i −0.0148493 + 0.0231059i
\(267\) 27.3922 1.50241i 1.67638 0.0919462i
\(268\) −2.57472 5.63786i −0.157276 0.344387i
\(269\) 5.64427 + 8.78265i 0.344137 + 0.535488i 0.969578 0.244784i \(-0.0787171\pi\)
−0.625440 + 0.780272i \(0.715081\pi\)
\(270\) −9.85040 + 6.16195i −0.599476 + 0.375004i
\(271\) −0.564550 + 0.651525i −0.0342939 + 0.0395773i −0.772637 0.634848i \(-0.781063\pi\)
0.738343 + 0.674425i \(0.235608\pi\)
\(272\) 1.74601 + 5.94637i 0.105868 + 0.360552i
\(273\) −7.96700 + 4.18008i −0.482185 + 0.252990i
\(274\) −10.5290 + 1.51384i −0.636080 + 0.0914545i
\(275\) −3.66778 2.72377i −0.221176 0.164250i
\(276\) −7.06325 + 4.37155i −0.425158 + 0.263136i
\(277\) 13.4347i 0.807212i 0.914933 + 0.403606i \(0.132243\pi\)
−0.914933 + 0.403606i \(0.867757\pi\)
\(278\) 1.38478 + 9.63135i 0.0830536 + 0.577650i
\(279\) −26.4323 4.70108i −1.58246 0.281446i
\(280\) 0.0858227 2.53956i 0.00512889 0.151768i
\(281\) −8.66510 + 10.0001i −0.516917 + 0.596554i −0.952856 0.303422i \(-0.901871\pi\)
0.435939 + 0.899976i \(0.356416\pi\)
\(282\) 12.5108 9.04523i 0.745007 0.538636i
\(283\) 25.3685 16.3033i 1.50800 0.969132i 0.514232 0.857651i \(-0.328077\pi\)
0.993767 0.111481i \(-0.0355594\pi\)
\(284\) −8.81225 + 4.02442i −0.522911 + 0.238805i
\(285\) −1.47360 0.399257i −0.0872886 0.0236500i
\(286\) 2.25805 3.51359i 0.133521 0.207763i
\(287\) 11.3202 + 1.62760i 0.668209 + 0.0960740i
\(288\) 2.98200 0.328102i 0.175716 0.0193336i
\(289\) −18.0095 11.5740i −1.05938 0.680822i
\(290\) 8.71665 + 20.9302i 0.511859 + 1.22906i
\(291\) 27.5043 + 6.46334i 1.61233 + 0.378888i
\(292\) −2.82655 4.39820i −0.165411 0.257385i
\(293\) 2.12053 7.22185i 0.123882 0.421905i −0.874075 0.485791i \(-0.838531\pi\)
0.997957 + 0.0638867i \(0.0203496\pi\)
\(294\) 1.94105 + 9.69529i 0.113204 + 0.565441i
\(295\) −11.7742 0.397901i −0.685520 0.0231667i
\(296\) 2.84154 6.22212i 0.165161 0.361653i
\(297\) 1.23899 4.58325i 0.0718935 0.265947i
\(298\) 8.73920 0.506248
\(299\) −15.4953 15.5071i −0.896117 0.896800i
\(300\) 8.33993 2.33357i 0.481506 0.134729i
\(301\) 0.752864 + 5.23628i 0.0433943 + 0.301814i
\(302\) −0.984710 + 2.15621i −0.0566637 + 0.124076i
\(303\) 10.1377 + 3.97415i 0.582396 + 0.228309i
\(304\) 0.297917 + 0.258146i 0.0170867 + 0.0148057i
\(305\) 13.5629 + 9.37840i 0.776611 + 0.537005i
\(306\) −12.6352 + 13.6390i −0.722306 + 0.779691i
\(307\) 20.7597 9.48065i 1.18482 0.541090i 0.277172 0.960820i \(-0.410603\pi\)
0.907649 + 0.419731i \(0.137876\pi\)
\(308\) 0.679950 + 0.784704i 0.0387438 + 0.0447127i
\(309\) −4.84653 + 1.71654i −0.275709 + 0.0976503i
\(310\) 17.9112 + 8.92278i 1.01729 + 0.506780i
\(311\) −7.18241 1.03267i −0.407277 0.0585576i −0.0643681 0.997926i \(-0.520503\pi\)
−0.342909 + 0.939369i \(0.611412\pi\)
\(312\) 2.64325 + 7.46304i 0.149645 + 0.422511i
\(313\) 11.7474 + 13.5572i 0.664001 + 0.766298i 0.983425 0.181313i \(-0.0580349\pi\)
−0.319424 + 0.947612i \(0.603489\pi\)
\(314\) 7.55355 + 16.5400i 0.426271 + 0.933404i
\(315\) 6.67440 3.68276i 0.376060 0.207500i
\(316\) −0.847098 + 2.88495i −0.0476530 + 0.162291i
\(317\) −8.78306 + 10.1362i −0.493306 + 0.569305i −0.946746 0.321982i \(-0.895651\pi\)
0.453440 + 0.891287i \(0.350197\pi\)
\(318\) 2.46918 + 0.967963i 0.138465 + 0.0542807i
\(319\) −8.42737 3.84865i −0.471842 0.215483i
\(320\) −2.20130 0.392799i −0.123056 0.0219581i
\(321\) 21.4265 + 16.6019i 1.19591 + 0.926628i
\(322\) 4.78421 2.61001i 0.266614 0.145450i
\(323\) −2.44302 −0.135933
\(324\) 5.42927 + 7.17796i 0.301626 + 0.398775i
\(325\) 11.0303 + 20.0174i 0.611849 + 1.11037i
\(326\) −4.38518 14.9345i −0.242872 0.827148i
\(327\) −10.3543 + 2.07298i −0.572593 + 0.114636i
\(328\) 2.83539 9.65645i 0.156558 0.533188i
\(329\) −8.52084 + 5.47601i −0.469769 + 0.301902i
\(330\) −1.85024 + 3.01655i −0.101852 + 0.166055i
\(331\) 10.6386 + 12.2776i 0.584748 + 0.674836i 0.968619 0.248551i \(-0.0799545\pi\)
−0.383870 + 0.923387i \(0.625409\pi\)
\(332\) −5.69983 + 8.86910i −0.312819 + 0.486755i
\(333\) 20.3977 2.24430i 1.11779 0.122987i
\(334\) −0.951414 + 6.61723i −0.0520591 + 0.362079i
\(335\) −10.7745 + 8.71681i −0.588675 + 0.476250i
\(336\) −1.96530 + 0.107793i −0.107216 + 0.00588060i
\(337\) 0.990198 + 2.16823i 0.0539395 + 0.118111i 0.934683 0.355483i \(-0.115684\pi\)
−0.880743 + 0.473594i \(0.842956\pi\)
\(338\) −6.64134 + 4.26813i −0.361241 + 0.232156i
\(339\) −9.89257 13.6828i −0.537290 0.743147i
\(340\) 11.9043 7.09409i 0.645604 0.384731i
\(341\) −7.84559 + 2.30367i −0.424863 + 0.124751i
\(342\) −0.207080 + 1.16433i −0.0111976 + 0.0629597i
\(343\) −2.05528 14.2948i −0.110975 0.771845i
\(344\) 4.65528 0.250996
\(345\) 13.4021 + 12.8602i 0.721543 + 0.692369i
\(346\) −19.4556 −1.04594
\(347\) −2.54956 17.7326i −0.136867 0.951934i −0.936306 0.351186i \(-0.885779\pi\)
0.799438 0.600748i \(-0.205130\pi\)
\(348\) 15.5516 8.15956i 0.833655 0.437398i
\(349\) 4.48842 1.31792i 0.240260 0.0705466i −0.159386 0.987216i \(-0.550951\pi\)
0.399646 + 0.916670i \(0.369133\pi\)
\(350\) −5.54734 + 1.22906i −0.296518 + 0.0656960i
\(351\) −15.1632 + 18.2820i −0.809353 + 0.975819i
\(352\) 0.768660 0.493988i 0.0409697 0.0263296i
\(353\) −0.0845283 0.185091i −0.00449899 0.00985141i 0.907369 0.420335i \(-0.138087\pi\)
−0.911868 + 0.410483i \(0.865360\pi\)
\(354\) 0.499763 + 9.11176i 0.0265621 + 0.484285i
\(355\) 13.6248 + 16.8411i 0.723130 + 0.893834i
\(356\) −2.25408 + 15.6775i −0.119466 + 0.830904i
\(357\) 8.76739 8.48093i 0.464019 0.448858i
\(358\) −2.43238 + 3.78485i −0.128555 + 0.200036i
\(359\) −17.1471 19.7888i −0.904987 1.04441i −0.998808 0.0488218i \(-0.984453\pi\)
0.0938202 0.995589i \(-0.470092\pi\)
\(360\) −2.37194 6.27486i −0.125012 0.330714i
\(361\) 15.8531 10.1882i 0.834373 0.536219i
\(362\) −4.21144 + 14.3428i −0.221348 + 0.753843i
\(363\) 3.45633 + 17.2639i 0.181410 + 0.906122i
\(364\) −1.46344 4.98401i −0.0767050 0.261233i
\(365\) −7.94969 + 8.57148i −0.416106 + 0.448652i
\(366\) 6.30666 11.1072i 0.329655 0.580584i
\(367\) −11.5036 −0.600485 −0.300243 0.953863i \(-0.597068\pi\)
−0.300243 + 0.953863i \(0.597068\pi\)
\(368\) −1.67426 4.49409i −0.0872768 0.234271i
\(369\) 29.2358 7.53949i 1.52196 0.392490i
\(370\) −15.0574 2.68684i −0.782799 0.139682i
\(371\) −1.58278 0.722833i −0.0821740 0.0375276i
\(372\) 5.65718 14.4310i 0.293311 0.748210i
\(373\) −1.82996 + 2.11188i −0.0947515 + 0.109349i −0.801145 0.598470i \(-0.795775\pi\)
0.706394 + 0.707819i \(0.250321\pi\)
\(374\) −1.59535 + 5.43325i −0.0824933 + 0.280947i
\(375\) −9.70004 16.7603i −0.500908 0.865501i
\(376\) 3.70268 + 8.10775i 0.190951 + 0.418125i
\(377\) 30.3518 + 35.0279i 1.56320 + 1.80403i
\(378\) −3.29880 4.89736i −0.169672 0.251893i
\(379\) 0.210121 + 0.0302108i 0.0107932 + 0.00155183i 0.147709 0.989031i \(-0.452810\pi\)
−0.136916 + 0.990583i \(0.543719\pi\)
\(380\) 0.393043 0.788978i 0.0201627 0.0404737i
\(381\) 8.61723 + 24.3302i 0.441474 + 1.24647i
\(382\) 5.19023 + 5.98985i 0.265555 + 0.306467i
\(383\) −28.5118 + 13.0209i −1.45689 + 0.665338i −0.977242 0.212125i \(-0.931961\pi\)
−0.479644 + 0.877463i \(0.659234\pi\)
\(384\) −0.152235 + 1.72535i −0.00776871 + 0.0880463i
\(385\) 1.32048 1.90966i 0.0672978 0.0973253i
\(386\) 5.97374 + 5.17628i 0.304056 + 0.263466i
\(387\) 7.15619 + 11.9931i 0.363770 + 0.609641i
\(388\) −6.77633 + 14.8381i −0.344016 + 0.753290i
\(389\) 2.59557 + 18.0526i 0.131600 + 0.915301i 0.943469 + 0.331461i \(0.107541\pi\)
−0.811869 + 0.583840i \(0.801549\pi\)
\(390\) 14.6889 9.88210i 0.743799 0.500400i
\(391\) 26.0807 + 14.2540i 1.31896 + 0.720858i
\(392\) −5.70866 −0.288331
\(393\) 0.546744 0.962919i 0.0275796 0.0485728i
\(394\) 2.10668 4.61298i 0.106133 0.232398i
\(395\) 6.71945 + 0.227080i 0.338092 + 0.0114256i
\(396\) 2.45423 + 1.22088i 0.123329 + 0.0613513i
\(397\) −5.20139 + 17.7143i −0.261050 + 0.889055i 0.719782 + 0.694200i \(0.244242\pi\)
−0.980832 + 0.194855i \(0.937576\pi\)
\(398\) 6.48735 + 10.0945i 0.325182 + 0.505992i
\(399\) 0.177494 0.755312i 0.00888579 0.0378129i
\(400\) 0.375828 + 4.98586i 0.0187914 + 0.249293i
\(401\) −0.210668 0.135388i −0.0105203 0.00676096i 0.535370 0.844618i \(-0.320172\pi\)
−0.545890 + 0.837857i \(0.683808\pi\)
\(402\) 7.46381 + 7.71592i 0.372261 + 0.384835i
\(403\) 40.4902 + 5.82162i 2.01696 + 0.289995i
\(404\) −3.39883 + 5.28869i −0.169098 + 0.263122i
\(405\) 12.5193 15.7565i 0.622088 0.782947i
\(406\) −10.4811 + 4.78654i −0.520166 + 0.237552i
\(407\) 5.25783 3.37900i 0.260621 0.167491i
\(408\) −6.28920 8.69883i −0.311362 0.430656i
\(409\) −10.4300 + 12.0368i −0.515728 + 0.595182i −0.952556 0.304363i \(-0.901556\pi\)
0.436828 + 0.899545i \(0.356102\pi\)
\(410\) −22.4912 0.760076i −1.11076 0.0375375i
\(411\) 16.3150 8.56008i 0.804760 0.422237i
\(412\) −0.422456 2.93825i −0.0208129 0.144757i
\(413\) 5.98708i 0.294605i
\(414\) 9.00410 11.2217i 0.442527 0.551516i
\(415\) 22.3821 + 7.40181i 1.09869 + 0.363341i
\(416\) −4.52453 + 0.650529i −0.221833 + 0.0318948i
\(417\) −7.83029 14.9241i −0.383451 0.730835i
\(418\) 0.101476 + 0.345594i 0.00496333 + 0.0169036i
\(419\) 10.4325 12.0398i 0.509661 0.588180i −0.441351 0.897335i \(-0.645500\pi\)
0.951012 + 0.309154i \(0.100046\pi\)
\(420\) 1.32840 + 4.19589i 0.0648192 + 0.204738i
\(421\) 10.0357 + 15.6159i 0.489111 + 0.761072i 0.994822 0.101631i \(-0.0324062\pi\)
−0.505711 + 0.862703i \(0.668770\pi\)
\(422\) −6.86000 15.0213i −0.333939 0.731225i
\(423\) −15.1956 + 22.0024i −0.738834 + 1.06979i
\(424\) −0.827835 + 1.28814i −0.0402032 + 0.0625575i
\(425\) −21.9951 21.8269i −1.06692 1.05876i
\(426\) 12.0604 11.6663i 0.584327 0.565235i
\(427\) −4.53059 + 7.04974i −0.219251 + 0.341161i
\(428\) −11.8271 + 10.2482i −0.571683 + 0.495366i
\(429\) −1.65489 + 7.04227i −0.0798989 + 0.340004i
\(430\) −2.59369 10.0812i −0.125079 0.486159i
\(431\) −6.68325 1.96238i −0.321921 0.0945244i 0.116780 0.993158i \(-0.462743\pi\)
−0.438700 + 0.898633i \(0.644561\pi\)
\(432\) −4.67891 + 2.26005i −0.225114 + 0.108737i
\(433\) −26.5442 + 7.79408i −1.27563 + 0.374559i −0.848291 0.529531i \(-0.822368\pi\)
−0.427341 + 0.904090i \(0.640550\pi\)
\(434\) −4.22454 + 9.25045i −0.202784 + 0.444036i
\(435\) −26.3345 29.1317i −1.26264 1.39676i
\(436\) 6.09668i 0.291978i
\(437\) 1.88575 0.134150i 0.0902078 0.00641726i
\(438\) 7.15813 + 5.54635i 0.342028 + 0.265015i
\(439\) 1.67590 + 11.6562i 0.0799864 + 0.556318i 0.989927 + 0.141579i \(0.0452179\pi\)
−0.909941 + 0.414739i \(0.863873\pi\)
\(440\) −1.49801 1.38934i −0.0714149 0.0662343i
\(441\) −8.77547 14.7068i −0.417880 0.700324i
\(442\) 18.5514 21.4094i 0.882399 1.01834i
\(443\) 25.6971 + 7.54536i 1.22091 + 0.358491i 0.827812 0.561006i \(-0.189586\pi\)
0.393097 + 0.919497i \(0.371404\pi\)
\(444\) −1.04133 + 11.8018i −0.0494191 + 0.560090i
\(445\) 35.2061 3.85338i 1.66893 0.182668i
\(446\) 8.07029 6.99294i 0.382139 0.331125i
\(447\) −14.2683 + 5.05351i −0.674865 + 0.239023i
\(448\) 0.161723 1.12481i 0.00764068 0.0531421i
\(449\) −20.2233 2.90767i −0.954398 0.137222i −0.352515 0.935806i \(-0.614673\pi\)
−0.601883 + 0.798585i \(0.705583\pi\)
\(450\) −12.2670 + 8.63258i −0.578270 + 0.406944i
\(451\) 6.94962 6.02188i 0.327245 0.283559i
\(452\) 8.86726 4.04954i 0.417081 0.190474i
\(453\) 0.360861 4.08981i 0.0169547 0.192156i
\(454\) −2.02904 + 6.91027i −0.0952275 + 0.324315i
\(455\) −9.97775 + 5.94598i −0.467764 + 0.278752i
\(456\) −0.635675 0.249196i −0.0297682 0.0116697i
\(457\) 4.15562 9.09955i 0.194392 0.425659i −0.787187 0.616714i \(-0.788464\pi\)
0.981579 + 0.191055i \(0.0611909\pi\)
\(458\) −14.6417 + 2.10516i −0.684163 + 0.0983678i
\(459\) 12.7423 29.5744i 0.594759 1.38042i
\(460\) −8.79934 + 6.12957i −0.410271 + 0.285792i
\(461\) 17.0976i 0.796314i 0.917317 + 0.398157i \(0.130350\pi\)
−0.917317 + 0.398157i \(0.869650\pi\)
\(462\) −1.56390 0.887978i −0.0727591 0.0413125i
\(463\) −7.29605 3.33199i −0.339076 0.154851i 0.238598 0.971118i \(-0.423312\pi\)
−0.577674 + 0.816268i \(0.696039\pi\)
\(464\) 2.85664 + 9.72883i 0.132616 + 0.451650i
\(465\) −34.4028 4.21068i −1.59539 0.195266i
\(466\) 7.23417 + 2.12415i 0.335117 + 0.0983991i
\(467\) −12.6660 19.7087i −0.586113 0.912010i −0.999999 0.00168120i \(-0.999465\pi\)
0.413885 0.910329i \(-0.364172\pi\)
\(468\) −8.63112 10.6562i −0.398974 0.492584i
\(469\) −4.61230 5.32288i −0.212976 0.245788i
\(470\) 15.4947 12.5356i 0.714719 0.578222i
\(471\) −21.8968 22.6364i −1.00895 1.04303i
\(472\) −5.21496 0.749798i −0.240038 0.0345122i
\(473\) 3.57832 + 2.29965i 0.164532 + 0.105738i
\(474\) −0.285211 5.20002i −0.0131002 0.238845i
\(475\) −1.92755 0.411574i −0.0884421 0.0188843i
\(476\) 3.80750 + 5.92458i 0.174516 + 0.271553i
\(477\) −4.59110 0.152541i −0.210212 0.00698438i
\(478\) −12.4756 10.8101i −0.570619 0.494444i
\(479\) 39.1601 11.4984i 1.78927 0.525377i 0.792811 0.609467i \(-0.208617\pi\)
0.996458 + 0.0840904i \(0.0267984\pi\)
\(480\) 3.82114 0.631605i 0.174410 0.0288287i
\(481\) −30.9490 + 4.44979i −1.41115 + 0.202893i
\(482\) 8.62596i 0.392902i
\(483\) −6.30179 + 7.02780i −0.286741 + 0.319776i
\(484\) −10.1651 −0.462052
\(485\) 35.9080 + 6.40741i 1.63050 + 0.290945i
\(486\) −13.0149 8.57974i −0.590369 0.389185i
\(487\) −3.42982 11.6809i −0.155420 0.529312i 0.844561 0.535459i \(-0.179861\pi\)
−0.999981 + 0.00614729i \(0.998043\pi\)
\(488\) 5.57318 + 4.82919i 0.252286 + 0.218607i
\(489\) 15.7956 + 21.8474i 0.714300 + 0.987976i
\(490\) 3.18058 + 12.3624i 0.143684 + 0.558474i
\(491\) −4.58738 + 2.09498i −0.207025 + 0.0945453i −0.516229 0.856450i \(-0.672665\pi\)
0.309204 + 0.950996i \(0.399937\pi\)
\(492\) 0.954654 + 17.4054i 0.0430391 + 0.784696i
\(493\) −52.8635 33.9733i −2.38085 1.53008i
\(494\) 0.256439 1.78357i 0.0115377 0.0802467i
\(495\) 1.27649 5.99495i 0.0573739 0.269453i
\(496\) 7.52841 + 4.83822i 0.338036 + 0.217242i
\(497\) −8.31993 + 7.20926i −0.373200 + 0.323380i
\(498\) 4.17732 17.7763i 0.187190 0.796575i
\(499\) −29.3886 + 18.8869i −1.31562 + 0.845495i −0.994820 0.101653i \(-0.967587\pi\)
−0.320796 + 0.947148i \(0.603950\pi\)
\(500\) 10.5877 3.59174i 0.473496 0.160628i
\(501\) −2.27312 11.3539i −0.101555 0.507256i
\(502\) 24.1647 7.09539i 1.07852 0.316683i
\(503\) 5.36550 + 2.45034i 0.239236 + 0.109255i 0.531425 0.847105i \(-0.321657\pi\)
−0.292190 + 0.956360i \(0.594384\pi\)
\(504\) 3.14636 1.31244i 0.140150 0.0584608i
\(505\) 13.3466 + 4.41374i 0.593914 + 0.196409i
\(506\) 0.933090 4.28149i 0.0414809 0.190336i
\(507\) 8.37505 10.8089i 0.371949 0.480038i
\(508\) −14.7504 + 2.12078i −0.654442 + 0.0940946i
\(509\) 5.65035 + 2.58043i 0.250447 + 0.114375i 0.536683 0.843784i \(-0.319677\pi\)
−0.286236 + 0.958159i \(0.592404\pi\)
\(510\) −15.3337 + 18.4661i −0.678987 + 0.817692i
\(511\) −4.49000 3.89061i −0.198626 0.172111i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −0.335189 2.02071i −0.0147989 0.0892167i
\(514\) 5.40568 + 11.8368i 0.238434 + 0.522098i
\(515\) −6.12754 + 2.55189i −0.270012 + 0.112450i
\(516\) −7.60054 + 2.69195i −0.334595 + 0.118506i
\(517\) −1.15902 + 8.06118i −0.0509738 + 0.354530i
\(518\) 1.10622 7.69396i 0.0486047 0.338053i
\(519\) 31.7647 11.2504i 1.39431 0.493836i
\(520\) 3.92959 + 9.43563i 0.172324 + 0.413780i
\(521\) −0.259221 0.567615i −0.0113567 0.0248676i 0.903869 0.427810i \(-0.140715\pi\)
−0.915225 + 0.402942i \(0.867987\pi\)
\(522\) −20.6724 + 22.3147i −0.904806 + 0.976689i
\(523\) −24.8294 7.29057i −1.08571 0.318794i −0.310551 0.950557i \(-0.600514\pi\)
−0.775162 + 0.631762i \(0.782332\pi\)
\(524\) 0.483156 + 0.418657i 0.0211068 + 0.0182891i
\(525\) 8.34627 5.21444i 0.364261 0.227577i
\(526\) −16.5475 7.55700i −0.721506 0.329501i
\(527\) −54.8964 + 7.89291i −2.39132 + 0.343820i
\(528\) −0.969318 + 1.25100i −0.0421841 + 0.0544429i
\(529\) −20.9143 9.57048i −0.909315 0.416108i
\(530\) 3.25075 + 1.07503i 0.141203 + 0.0466963i
\(531\) −6.08490 14.5875i −0.264062 0.633045i
\(532\) 0.407477 + 0.186089i 0.0176664 + 0.00806796i
\(533\) −44.1402 + 12.9607i −1.91192 + 0.561392i
\(534\) −5.38544 26.8996i −0.233051 1.16406i
\(535\) 28.7824 + 19.9023i 1.24437 + 0.860450i
\(536\) −5.21405 + 3.35087i −0.225213 + 0.144735i
\(537\) 1.78265 7.58596i 0.0769272 0.327358i
\(538\) 7.89000 6.83672i 0.340162 0.294752i
\(539\) −4.38802 2.82001i −0.189005 0.121466i
\(540\) 7.50109 + 8.87320i 0.322795 + 0.381842i
\(541\) 0.424572 2.95296i 0.0182538 0.126958i −0.978657 0.205501i \(-0.934118\pi\)
0.996911 + 0.0785430i \(0.0250268\pi\)
\(542\) 0.725237 + 0.466082i 0.0311516 + 0.0200199i
\(543\) −1.41796 25.8525i −0.0608505 1.10944i
\(544\) 5.63736 2.57450i 0.241700 0.110381i
\(545\) −13.2026 + 3.39676i −0.565538 + 0.145501i
\(546\) 5.27136 + 7.29102i 0.225593 + 0.312027i
\(547\) −23.2611 20.1559i −0.994575 0.861804i −0.00416877 0.999991i \(-0.501327\pi\)
−0.990406 + 0.138187i \(0.955872\pi\)
\(548\) 2.99686 + 10.2064i 0.128020 + 0.435995i
\(549\) −3.87388 + 21.7813i −0.165333 + 0.929604i
\(550\) −2.17407 + 4.01808i −0.0927025 + 0.171332i
\(551\) −3.99702 −0.170279
\(552\) 5.33226 + 6.36922i 0.226956 + 0.271092i
\(553\) 3.41678i 0.145296i
\(554\) 13.2979 1.91196i 0.564976 0.0812312i
\(555\) 26.1375 4.32034i 1.10948 0.183388i
\(556\) 9.33625 2.74137i 0.395945 0.116260i
\(557\) 8.80579 + 7.63026i 0.373113 + 0.323304i 0.821152 0.570710i \(-0.193332\pi\)
−0.448039 + 0.894014i \(0.647877\pi\)
\(558\) −0.891515 + 26.8323i −0.0377408 + 1.13590i
\(559\) −11.5046 17.9015i −0.486592 0.757152i
\(560\) −2.52592 + 0.276467i −0.106740 + 0.0116829i
\(561\) −0.537140 9.79323i −0.0226781 0.413471i
\(562\) 11.1314 + 7.15375i 0.469552 + 0.301763i
\(563\) −8.52409 1.22558i −0.359248 0.0516520i −0.0396719 0.999213i \(-0.512631\pi\)
−0.319576 + 0.947561i \(0.603540\pi\)
\(564\) −10.7336 11.0962i −0.451968 0.467234i
\(565\) −13.7099 16.9463i −0.576778 0.712934i
\(566\) −19.7477 22.7900i −0.830057 0.957937i
\(567\) 8.21780 + 6.08823i 0.345115 + 0.255682i
\(568\) 5.23757 + 8.14982i 0.219764 + 0.341959i
\(569\) −2.26547 0.665201i −0.0949733 0.0278867i 0.233901 0.972261i \(-0.424851\pi\)
−0.328874 + 0.944374i \(0.606669\pi\)
\(570\) −0.185478 + 1.51542i −0.00776882 + 0.0634741i
\(571\) −3.60250 12.2690i −0.150760 0.513441i 0.849132 0.528181i \(-0.177126\pi\)
−0.999891 + 0.0147407i \(0.995308\pi\)
\(572\) −3.79918 1.73503i −0.158852 0.0725451i
\(573\) −11.9376 6.77817i −0.498701 0.283162i
\(574\) 11.4366i 0.477354i
\(575\) 18.1764 + 15.6403i 0.758008 + 0.652245i
\(576\) −0.749146 2.90496i −0.0312144 0.121040i
\(577\) −25.2836 + 3.63524i −1.05257 + 0.151337i −0.646817 0.762645i \(-0.723900\pi\)
−0.405755 + 0.913982i \(0.632991\pi\)
\(578\) −8.89316 + 19.4733i −0.369907 + 0.809983i
\(579\) −12.7464 4.99680i −0.529722 0.207660i
\(580\) 19.4766 11.6066i 0.808724 0.481938i
\(581\) −3.37529 + 11.4952i −0.140030 + 0.476900i
\(582\) 2.48328 28.1442i 0.102935 1.16661i
\(583\) −1.27265 + 0.581199i −0.0527077 + 0.0240708i
\(584\) −3.95117 + 3.42371i −0.163501 + 0.141674i
\(585\) −18.2677 + 24.6282i −0.755276 + 1.01825i
\(586\) −7.45012 1.07117i −0.307762 0.0442494i
\(587\) 3.99189 27.7642i 0.164763 1.14595i −0.724740 0.689022i \(-0.758040\pi\)
0.889503 0.456929i \(-0.151051\pi\)
\(588\) 9.32037 3.30107i 0.384365 0.136134i
\(589\) −2.66607 + 2.31016i −0.109853 + 0.0951886i
\(590\) 1.28179 + 11.7110i 0.0527705 + 0.482133i
\(591\) −0.772022 + 8.74968i −0.0317568 + 0.359914i
\(592\) −6.56318 1.92712i −0.269745 0.0792043i
\(593\) 13.0277 15.0347i 0.534982 0.617402i −0.422336 0.906439i \(-0.638790\pi\)
0.957318 + 0.289037i \(0.0933351\pi\)
\(594\) −4.71293 0.574114i −0.193374 0.0235562i
\(595\) 10.7086 11.5462i 0.439010 0.473348i
\(596\) −1.24372 8.65025i −0.0509447 0.354328i
\(597\) −16.4289 12.7297i −0.672392 0.520991i
\(598\) −13.1441 + 17.5445i −0.537501 + 0.717447i
\(599\) 27.6371i 1.12922i 0.825357 + 0.564611i \(0.190974\pi\)
−0.825357 + 0.564611i \(0.809026\pi\)
\(600\) −3.49671 7.92294i −0.142753 0.323453i
\(601\) 12.5572 27.4964i 0.512219 1.12160i −0.460083 0.887876i \(-0.652180\pi\)
0.972302 0.233727i \(-0.0750922\pi\)
\(602\) 5.07584 1.49040i 0.206876 0.0607442i
\(603\) −16.6477 8.28156i −0.677949 0.337251i
\(604\) 2.27441 + 0.667826i 0.0925442 + 0.0271734i
\(605\) 5.66350 + 22.0131i 0.230254 + 0.894958i
\(606\) 2.49096 10.6001i 0.101188 0.430600i
\(607\) −22.1014 + 19.1510i −0.897069 + 0.777315i −0.975591 0.219597i \(-0.929526\pi\)
0.0785212 + 0.996912i \(0.474980\pi\)
\(608\) 0.213121 0.331622i 0.00864319 0.0134491i
\(609\) 14.3443 13.8756i 0.581260 0.562268i
\(610\) 7.35273 14.7596i 0.297703 0.597597i
\(611\) 22.0272 34.2751i 0.891127 1.38662i
\(612\) 15.2984 + 10.5656i 0.618400 + 0.427087i
\(613\) −0.700560 1.53401i −0.0282953 0.0619581i 0.894957 0.446153i \(-0.147206\pi\)
−0.923252 + 0.384195i \(0.874479\pi\)
\(614\) −12.3386 19.1992i −0.497944 0.774816i
\(615\) 37.1603 11.7648i 1.49845 0.474401i
\(616\) 0.679950 0.784704i 0.0273960 0.0316166i
\(617\) −8.90832 30.3390i −0.358636 1.22140i −0.919366 0.393402i \(-0.871298\pi\)
0.560731 0.827998i \(-0.310520\pi\)
\(618\) 2.38880 + 4.55291i 0.0960915 + 0.183145i
\(619\) −11.5292 + 1.65765i −0.463399 + 0.0666267i −0.370060 0.929008i \(-0.620663\pi\)
−0.0933386 + 0.995634i \(0.529754\pi\)
\(620\) 6.28293 18.9987i 0.252328 0.763007i
\(621\) −8.21171 + 23.5280i −0.329525 + 0.944147i
\(622\) 7.25627i 0.290950i
\(623\) 2.56147 + 17.8154i 0.102623 + 0.713761i
\(624\) 7.01090 3.67845i 0.280661 0.147256i
\(625\) −13.6770 20.9270i −0.547080 0.837080i
\(626\) 11.7474 13.5572i 0.469520 0.541855i
\(627\) −0.365519 0.505563i −0.0145974 0.0201902i
\(628\) 15.2966 9.83055i 0.610402 0.392282i
\(629\) 38.5610 17.6102i 1.53753 0.702165i
\(630\) −4.59514 6.08236i −0.183075 0.242327i
\(631\) 19.1110 29.7372i 0.760795 1.18382i −0.217390 0.976085i \(-0.569754\pi\)
0.978185 0.207736i \(-0.0666094\pi\)
\(632\) 2.97614 + 0.427904i 0.118384 + 0.0170211i
\(633\) 19.8863 + 20.5580i 0.790410 + 0.817107i
\(634\) 11.2830 + 7.25113i 0.448104 + 0.287979i
\(635\) 12.8108 + 30.7610i 0.508382 + 1.22071i
\(636\) 0.606709 2.58181i 0.0240576 0.102375i
\(637\) 14.1078 + 21.9522i 0.558972 + 0.869777i
\(638\) −2.61014 + 8.88931i −0.103336 + 0.351931i
\(639\) −12.9445 + 26.0213i −0.512076 + 1.02939i
\(640\) −0.0755234 + 2.23479i −0.00298532 + 0.0883379i
\(641\) 8.89291 19.4728i 0.351249 0.769128i −0.648718 0.761029i \(-0.724695\pi\)
0.999967 0.00809917i \(-0.00257807\pi\)
\(642\) 13.3836 23.5711i 0.528209 0.930276i
\(643\) 0.0334375 0.00131865 0.000659323 1.00000i \(-0.499790\pi\)
0.000659323 1.00000i \(0.499790\pi\)
\(644\) −3.26431 4.36407i −0.128632 0.171969i
\(645\) 10.0642 + 14.9595i 0.396276 + 0.589029i
\(646\) 0.347678 + 2.41815i 0.0136792 + 0.0951410i
\(647\) −7.02734 + 15.3877i −0.276273 + 0.604954i −0.996005 0.0892983i \(-0.971538\pi\)
0.719732 + 0.694252i \(0.244265\pi\)
\(648\) 6.33223 6.39553i 0.248754 0.251240i
\(649\) −3.63814 3.15247i −0.142809 0.123745i
\(650\) 18.2439 13.7668i 0.715585 0.539977i
\(651\) 1.54814 17.5458i 0.0606766 0.687675i
\(652\) −14.1585 + 6.46595i −0.554488 + 0.253226i
\(653\) 5.93377 + 6.84794i 0.232206 + 0.267980i 0.859880 0.510496i \(-0.170538\pi\)
−0.627674 + 0.778477i \(0.715993\pi\)
\(654\) 3.52545 + 9.95388i 0.137856 + 0.389227i
\(655\) 0.637431 1.27955i 0.0249065 0.0499962i
\(656\) −9.96168 1.43227i −0.388938 0.0559209i
\(657\) −14.8941 4.91612i −0.581074 0.191796i
\(658\) 6.63291 + 7.65479i 0.258578 + 0.298415i
\(659\) −8.20148 17.9587i −0.319484 0.699573i 0.679948 0.733260i \(-0.262002\pi\)
−0.999432 + 0.0336871i \(0.989275\pi\)
\(660\) 3.24916 + 1.40210i 0.126473 + 0.0545768i
\(661\) −6.37940 + 21.7262i −0.248130 + 0.845053i 0.737386 + 0.675471i \(0.236060\pi\)
−0.985516 + 0.169582i \(0.945758\pi\)
\(662\) 10.6386 12.2776i 0.413480 0.477181i
\(663\) −17.9081 + 45.6820i −0.695495 + 1.77414i
\(664\) 9.59000 + 4.37960i 0.372164 + 0.169962i
\(665\) 0.175957 0.986089i 0.00682334 0.0382389i
\(666\) −5.12435 19.8707i −0.198564 0.769972i
\(667\) 42.6705 + 23.3210i 1.65221 + 0.902992i
\(668\) 6.68528 0.258661
\(669\) −9.13241 + 16.0839i −0.353079 + 0.621839i
\(670\) 10.1615 + 9.42433i 0.392571 + 0.364093i
\(671\) 1.89832 + 6.46509i 0.0732839 + 0.249582i
\(672\) 0.386387 + 1.92996i 0.0149052 + 0.0744497i
\(673\) −11.5868 + 39.4612i −0.446640 + 1.52112i 0.361640 + 0.932318i \(0.382217\pi\)
−0.808280 + 0.588798i \(0.799601\pi\)
\(674\) 2.00524 1.28869i 0.0772390 0.0496385i
\(675\) 15.0361 21.1876i 0.578739 0.815513i
\(676\) 5.16985 + 5.96632i 0.198840 + 0.229474i
\(677\) 3.54764 5.52023i 0.136347 0.212160i −0.766365 0.642405i \(-0.777937\pi\)
0.902712 + 0.430245i \(0.141573\pi\)
\(678\) −12.1357 + 11.7391i −0.466067 + 0.450839i
\(679\) −2.63805 + 18.3480i −0.101239 + 0.704133i
\(680\) −8.71604 10.7736i −0.334245 0.413148i
\(681\) −0.683162 12.4555i −0.0261788 0.477297i
\(682\) 3.39677 + 7.43789i 0.130069 + 0.284812i
\(683\) −12.3272 + 7.92223i −0.471688 + 0.303136i −0.754804 0.655950i \(-0.772268\pi\)
0.283116 + 0.959086i \(0.408632\pi\)
\(684\) 1.18195 + 0.0392707i 0.0451929 + 0.00150155i
\(685\) 20.4327 12.1763i 0.780692 0.465233i
\(686\) −13.8568 + 4.06872i −0.529054 + 0.155344i
\(687\) 22.6878 11.9037i 0.865594 0.454156i
\(688\) −0.662515 4.60789i −0.0252581 0.175674i
\(689\) 6.99926 0.266650
\(690\) 10.8220 15.0959i 0.411985 0.574689i
\(691\) −12.8771 −0.489870 −0.244935 0.969540i \(-0.578767\pi\)
−0.244935 + 0.969540i \(0.578767\pi\)
\(692\) 2.76882 + 19.2576i 0.105255 + 0.732064i
\(693\) 3.06681 + 0.545443i 0.116499 + 0.0207196i
\(694\) −17.1892 + 5.04721i −0.652494 + 0.191590i
\(695\) −11.1382 18.6907i −0.422498 0.708979i
\(696\) −10.2897 14.2321i −0.390031 0.539467i
\(697\) 52.4702 33.7206i 1.98745 1.27726i
\(698\) −1.94327 4.25518i −0.0735540 0.161061i
\(699\) −13.0393 + 0.715183i −0.493193 + 0.0270507i
\(700\) 2.00602 + 5.31596i 0.0758204 + 0.200924i
\(701\) 5.60529 38.9857i 0.211709 1.47247i −0.555739 0.831357i \(-0.687564\pi\)
0.767448 0.641112i \(-0.221526\pi\)
\(702\) 20.2538 + 12.4071i 0.764431 + 0.468276i
\(703\) 1.45780 2.26838i 0.0549820 0.0855536i
\(704\) −0.598351 0.690534i −0.0225512 0.0260255i
\(705\) −18.0491 + 29.4264i −0.679767 + 1.10826i
\(706\) −0.171178 + 0.110009i −0.00644235 + 0.00414025i
\(707\) −2.01270 + 6.85462i −0.0756954 + 0.257795i
\(708\) 8.94789 1.79142i 0.336282 0.0673255i
\(709\) −12.9321 44.0427i −0.485676 1.65406i −0.729303 0.684191i \(-0.760155\pi\)
0.243627 0.969869i \(-0.421663\pi\)
\(710\) 14.7307 15.8829i 0.552833 0.596073i
\(711\) 3.47261 + 8.32500i 0.130233 + 0.312212i
\(712\) 15.8387 0.593580
\(713\) 41.9408 9.10693i 1.57069 0.341057i
\(714\) −9.64233 7.47119i −0.360855 0.279602i
\(715\) −1.64057 + 9.19396i −0.0613538 + 0.343835i
\(716\) 4.09249 + 1.86898i 0.152944 + 0.0698470i
\(717\) 26.6195 + 10.4353i 0.994124 + 0.389714i
\(718\) −17.1471 + 19.7888i −0.639923 + 0.738510i
\(719\) −5.65708 + 19.2663i −0.210974 + 0.718510i 0.784211 + 0.620494i \(0.213068\pi\)
−0.995185 + 0.0980161i \(0.968750\pi\)
\(720\) −5.87343 + 3.24080i −0.218890 + 0.120778i
\(721\) −1.40131 3.06844i −0.0521875 0.114275i
\(722\) −12.3406 14.2418i −0.459269 0.530025i
\(723\) 4.98802 + 14.0834i 0.185507 + 0.523766i
\(724\) 14.7962 + 2.12737i 0.549897 + 0.0790632i
\(725\) −35.9860 35.7109i −1.33649 1.32627i
\(726\) 16.5963 5.87807i 0.615948 0.218156i
\(727\) 2.30834 + 2.66397i 0.0856116 + 0.0988010i 0.796939 0.604060i \(-0.206451\pi\)
−0.711327 + 0.702861i \(0.751906\pi\)
\(728\) −4.72501 + 2.15784i −0.175121 + 0.0799749i
\(729\) 26.2104 + 6.48192i 0.970755 + 0.240071i
\(730\) 9.61559 + 6.64892i 0.355889 + 0.246088i
\(731\) 21.8039 + 18.8932i 0.806445 + 0.698789i
\(732\) −11.8917 4.66175i −0.439530 0.172303i
\(733\) −18.1318 + 39.7032i −0.669715 + 1.46647i 0.203470 + 0.979081i \(0.434778\pi\)
−0.873185 + 0.487389i \(0.837949\pi\)
\(734\) 1.63714 + 11.3866i 0.0604279 + 0.420285i
\(735\) −12.3415 18.3445i −0.455222 0.676646i
\(736\) −4.21008 + 2.29679i −0.155185 + 0.0846610i
\(737\) −5.66312 −0.208604
\(738\) −11.6234 27.8653i −0.427865 1.02574i
\(739\) 13.1449 28.7834i 0.483544 1.05881i −0.497930 0.867217i \(-0.665906\pi\)
0.981474 0.191596i \(-0.0613665\pi\)
\(740\) −0.516599 + 15.2866i −0.0189906 + 0.561945i
\(741\) 0.612683 + 3.06028i 0.0225075 + 0.112422i
\(742\) −0.490222 + 1.66954i −0.0179966 + 0.0612908i
\(743\) 0.127897 + 0.199011i 0.00469208 + 0.00730102i 0.843592 0.536985i \(-0.180437\pi\)
−0.838900 + 0.544286i \(0.816801\pi\)
\(744\) −15.0892 3.54586i −0.553196 0.129998i
\(745\) −18.0396 + 7.51281i −0.660919 + 0.275248i
\(746\) 2.35082 + 1.51078i 0.0860695 + 0.0553135i
\(747\) 3.45909 + 31.4384i 0.126561 + 1.15027i
\(748\) 5.60499 + 0.805875i 0.204939 + 0.0294657i
\(749\) −9.61455 + 14.9605i −0.351308 + 0.546646i
\(750\) −15.2093 + 11.9866i −0.555365 + 0.437687i
\(751\) −12.8333 + 5.86078i −0.468295 + 0.213863i −0.635564 0.772048i \(-0.719232\pi\)
0.167269 + 0.985911i \(0.446505\pi\)
\(752\) 7.49828 4.81885i 0.273434 0.175725i
\(753\) −35.3500 + 25.5579i −1.28823 + 0.931380i
\(754\) 30.3518 35.0279i 1.10535 1.27564i
\(755\) 0.179022 5.29741i 0.00651529 0.192792i
\(756\) −4.37805 + 3.96219i −0.159228 + 0.144104i
\(757\) −6.72746 46.7905i −0.244514 1.70063i −0.628924 0.777467i \(-0.716504\pi\)
0.384410 0.923162i \(-0.374405\pi\)
\(758\) 0.212282i 0.00771042i
\(759\) 0.952376 + 7.52984i 0.0345691 + 0.273316i
\(760\) −0.836883 0.276759i −0.0303569 0.0100391i
\(761\) −0.151958 + 0.0218482i −0.00550846 + 0.000791997i −0.145069 0.989422i \(-0.546340\pi\)
0.139560 + 0.990214i \(0.455431\pi\)
\(762\) 22.8562 11.9921i 0.827991 0.434426i
\(763\) −1.95187 6.64746i −0.0706625 0.240654i
\(764\) 5.19023 5.98985i 0.187776 0.216705i
\(765\) 14.3567 39.0159i 0.519068 1.41062i
\(766\) 16.9460 + 26.3686i 0.612285 + 0.952735i
\(767\) 10.0044 + 21.9067i 0.361240 + 0.791004i
\(768\) 1.72945 0.0948572i 0.0624062 0.00342286i
\(769\) 18.3873 28.6113i 0.663064 1.03175i −0.332984 0.942933i \(-0.608055\pi\)
0.996048 0.0888156i \(-0.0283082\pi\)
\(770\) −2.07815 1.03526i −0.0748912 0.0373084i
\(771\) −15.6704 16.1997i −0.564356 0.583419i
\(772\) 4.27344 6.64960i 0.153804 0.239324i
\(773\) −7.91290 + 6.85656i −0.284607 + 0.246613i −0.785451 0.618924i \(-0.787569\pi\)