Properties

Label 483.2.bf.a.178.14
Level $483$
Weight $2$
Character 483.178
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 178.14
Character \(\chi\) \(=\) 483.178
Dual form 483.2.bf.a.19.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.587934 + 0.0561409i) q^{2} +(0.690079 + 0.723734i) q^{3} +(-1.62134 + 0.312488i) q^{4} +(2.80331 + 1.44520i) q^{5} +(-0.446352 - 0.386767i) q^{6} +(-0.926191 + 2.47834i) q^{7} +(2.06907 - 0.607534i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +O(q^{10})\) \(q+(-0.587934 + 0.0561409i) q^{2} +(0.690079 + 0.723734i) q^{3} +(-1.62134 + 0.312488i) q^{4} +(2.80331 + 1.44520i) q^{5} +(-0.446352 - 0.386767i) q^{6} +(-0.926191 + 2.47834i) q^{7} +(2.06907 - 0.607534i) q^{8} +(-0.0475819 + 0.998867i) q^{9} +(-1.72929 - 0.692305i) q^{10} +(-0.0160622 + 0.168211i) q^{11} +(-1.34501 - 0.957779i) q^{12} +(-3.12346 + 0.449086i) q^{13} +(0.405403 - 1.50910i) q^{14} +(0.888558 + 3.02615i) q^{15} +(1.88344 - 0.754015i) q^{16} +(0.814362 + 2.35294i) q^{17} +(-0.0281023 - 0.589940i) q^{18} +(0.288493 - 0.833544i) q^{19} +(-4.99673 - 1.46717i) q^{20} +(-2.43280 + 1.03993i) q^{21} -0.0997988i q^{22} +(-3.10091 - 3.65846i) q^{23} +(1.86751 + 1.07821i) q^{24} +(2.86962 + 4.02982i) q^{25} +(1.81118 - 0.439387i) q^{26} +(-0.755750 + 0.654861i) q^{27} +(0.727221 - 4.30766i) q^{28} +(-4.98217 + 5.74973i) q^{29} +(-0.692305 - 1.72929i) q^{30} +(5.54317 + 1.34476i) q^{31} +(-4.89841 + 2.52531i) q^{32} +(-0.132824 + 0.104454i) q^{33} +(-0.610888 - 1.33766i) q^{34} +(-6.17810 + 5.60901i) q^{35} +(-0.234988 - 1.63437i) q^{36} +(2.43800 + 0.116136i) q^{37} +(-0.122819 + 0.506266i) q^{38} +(-2.48046 - 1.95065i) q^{39} +(6.67824 + 1.28713i) q^{40} +(1.83533 + 2.85583i) q^{41} +(1.37195 - 0.747993i) q^{42} +(-1.82508 + 6.21564i) q^{43} +(-0.0265216 - 0.277747i) q^{44} +(-1.57695 + 2.73136i) q^{45} +(2.02852 + 1.97685i) q^{46} +(3.43570 - 1.98360i) q^{47} +(1.84543 + 0.842778i) q^{48} +(-5.28434 - 4.59083i) q^{49} +(-1.91339 - 2.20817i) q^{50} +(-1.14093 + 2.21310i) q^{51} +(4.92387 - 1.70417i) q^{52} +(-6.29008 + 7.99849i) q^{53} +(0.407567 - 0.427444i) q^{54} +(-0.288126 + 0.448334i) q^{55} +(-0.410679 + 5.69055i) q^{56} +(0.802347 - 0.366420i) q^{57} +(2.60639 - 3.66017i) q^{58} +(3.04803 - 7.61360i) q^{59} +(-2.38629 - 4.62876i) q^{60} +(7.46661 + 7.11940i) q^{61} +(-3.33452 - 0.479431i) q^{62} +(-2.43146 - 1.04307i) q^{63} +(-0.675234 + 0.433947i) q^{64} +(-9.40504 - 3.25512i) q^{65} +(0.0722278 - 0.0688690i) q^{66} +(11.3496 - 8.08205i) q^{67} +(-2.05563 - 3.56045i) q^{68} +(0.507879 - 4.76886i) q^{69} +(3.31743 - 3.64457i) q^{70} +(1.23062 - 2.69468i) q^{71} +(0.508395 + 2.09563i) q^{72} +(-2.56933 - 13.3309i) q^{73} +(-1.43990 + 0.0685910i) q^{74} +(-0.936251 + 4.85773i) q^{75} +(-0.207272 + 1.44161i) q^{76} +(-0.402007 - 0.195603i) q^{77} +(1.56786 + 1.00760i) q^{78} +(2.92807 + 3.72335i) q^{79} +(6.36955 + 0.608219i) q^{80} +(-0.995472 - 0.0950560i) q^{81} +(-1.23938 - 1.57600i) q^{82} +(-0.880690 - 0.565985i) q^{83} +(3.61944 - 2.44631i) q^{84} +(-1.11758 + 7.77294i) q^{85} +(0.724074 - 3.75685i) q^{86} +(-7.59937 + 0.362003i) q^{87} +(0.0689600 + 0.357799i) q^{88} +(3.73347 + 15.3896i) q^{89} +(0.773804 - 1.69439i) q^{90} +(1.77994 - 8.15695i) q^{91} +(6.17087 + 4.96262i) q^{92} +(2.85198 + 4.93977i) q^{93} +(-1.90861 + 1.35911i) q^{94} +(2.01337 - 1.91975i) q^{95} +(-5.20794 - 1.80249i) q^{96} +(2.00388 - 1.28781i) q^{97} +(3.36458 + 2.40244i) q^{98} +(-0.167256 - 0.0240478i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.587934 + 0.0561409i −0.415732 + 0.0396976i −0.300827 0.953679i \(-0.597263\pi\)
−0.114906 + 0.993376i \(0.536657\pi\)
\(3\) 0.690079 + 0.723734i 0.398417 + 0.417848i
\(4\) −1.62134 + 0.312488i −0.810671 + 0.156244i
\(5\) 2.80331 + 1.44520i 1.25368 + 0.646315i 0.951708 0.307003i \(-0.0993262\pi\)
0.301968 + 0.953318i \(0.402357\pi\)
\(6\) −0.446352 0.386767i −0.182223 0.157897i
\(7\) −0.926191 + 2.47834i −0.350067 + 0.936725i
\(8\) 2.06907 0.607534i 0.731527 0.214796i
\(9\) −0.0475819 + 0.998867i −0.0158606 + 0.332956i
\(10\) −1.72929 0.692305i −0.546851 0.218926i
\(11\) −0.0160622 + 0.168211i −0.00484294 + 0.0507175i −0.997570 0.0696664i \(-0.977807\pi\)
0.992727 + 0.120384i \(0.0384126\pi\)
\(12\) −1.34501 0.957779i −0.388272 0.276487i
\(13\) −3.12346 + 0.449086i −0.866293 + 0.124554i −0.561112 0.827740i \(-0.689626\pi\)
−0.305181 + 0.952294i \(0.598717\pi\)
\(14\) 0.405403 1.50910i 0.108349 0.403324i
\(15\) 0.888558 + 3.02615i 0.229425 + 0.781349i
\(16\) 1.88344 0.754015i 0.470859 0.188504i
\(17\) 0.814362 + 2.35294i 0.197512 + 0.570673i 0.999650 0.0264660i \(-0.00842538\pi\)
−0.802138 + 0.597139i \(0.796304\pi\)
\(18\) −0.0281023 0.589940i −0.00662378 0.139050i
\(19\) 0.288493 0.833544i 0.0661847 0.191228i −0.907059 0.421004i \(-0.861678\pi\)
0.973244 + 0.229775i \(0.0737992\pi\)
\(20\) −4.99673 1.46717i −1.11730 0.328069i
\(21\) −2.43280 + 1.03993i −0.530881 + 0.226932i
\(22\) 0.0997988i 0.0212772i
\(23\) −3.10091 3.65846i −0.646585 0.762842i
\(24\) 1.86751 + 1.07821i 0.381205 + 0.220089i
\(25\) 2.86962 + 4.02982i 0.573924 + 0.805963i
\(26\) 1.81118 0.439387i 0.355202 0.0861710i
\(27\) −0.755750 + 0.654861i −0.145444 + 0.126028i
\(28\) 0.727221 4.30766i 0.137432 0.814071i
\(29\) −4.98217 + 5.74973i −0.925166 + 1.06770i 0.0723586 + 0.997379i \(0.476947\pi\)
−0.997525 + 0.0703197i \(0.977598\pi\)
\(30\) −0.692305 1.72929i −0.126397 0.315725i
\(31\) 5.54317 + 1.34476i 0.995582 + 0.241526i 0.700272 0.713876i \(-0.253062\pi\)
0.295310 + 0.955401i \(0.404577\pi\)
\(32\) −4.89841 + 2.52531i −0.865925 + 0.446415i
\(33\) −0.132824 + 0.104454i −0.0231217 + 0.0181831i
\(34\) −0.610888 1.33766i −0.104766 0.229406i
\(35\) −6.17810 + 5.60901i −1.04429 + 0.948095i
\(36\) −0.234988 1.63437i −0.0391646 0.272396i
\(37\) 2.43800 + 0.116136i 0.400804 + 0.0190926i 0.247016 0.969011i \(-0.420550\pi\)
0.153788 + 0.988104i \(0.450853\pi\)
\(38\) −0.122819 + 0.506266i −0.0199238 + 0.0821272i
\(39\) −2.48046 1.95065i −0.397191 0.312354i
\(40\) 6.67824 + 1.28713i 1.05592 + 0.203512i
\(41\) 1.83533 + 2.85583i 0.286631 + 0.446006i 0.954473 0.298297i \(-0.0964185\pi\)
−0.667843 + 0.744302i \(0.732782\pi\)
\(42\) 1.37195 0.747993i 0.211696 0.115418i
\(43\) −1.82508 + 6.21564i −0.278322 + 0.947877i 0.695111 + 0.718903i \(0.255355\pi\)
−0.973433 + 0.228974i \(0.926463\pi\)
\(44\) −0.0265216 0.277747i −0.00399828 0.0418719i
\(45\) −1.57695 + 2.73136i −0.235078 + 0.407168i
\(46\) 2.02852 + 1.97685i 0.299089 + 0.291470i
\(47\) 3.43570 1.98360i 0.501148 0.289338i −0.228039 0.973652i \(-0.573231\pi\)
0.729188 + 0.684314i \(0.239898\pi\)
\(48\) 1.84543 + 0.842778i 0.266364 + 0.121645i
\(49\) −5.28434 4.59083i −0.754906 0.655833i
\(50\) −1.91339 2.20817i −0.270594 0.312282i
\(51\) −1.14093 + 2.21310i −0.159762 + 0.309896i
\(52\) 4.92387 1.70417i 0.682818 0.236326i
\(53\) −6.29008 + 7.99849i −0.864009 + 1.09868i 0.130229 + 0.991484i \(0.458429\pi\)
−0.994238 + 0.107193i \(0.965814\pi\)
\(54\) 0.407567 0.427444i 0.0554628 0.0581677i
\(55\) −0.288126 + 0.448334i −0.0388510 + 0.0604533i
\(56\) −0.410679 + 5.69055i −0.0548793 + 0.760432i
\(57\) 0.802347 0.366420i 0.106273 0.0485335i
\(58\) 2.60639 3.66017i 0.342236 0.480604i
\(59\) 3.04803 7.61360i 0.396819 0.991207i −0.586603 0.809875i \(-0.699535\pi\)
0.983422 0.181332i \(-0.0580408\pi\)
\(60\) −2.38629 4.62876i −0.308069 0.597571i
\(61\) 7.46661 + 7.11940i 0.956002 + 0.911546i 0.996152 0.0876477i \(-0.0279350\pi\)
−0.0401496 + 0.999194i \(0.512783\pi\)
\(62\) −3.33452 0.479431i −0.423484 0.0608878i
\(63\) −2.43146 1.04307i −0.306336 0.131414i
\(64\) −0.675234 + 0.433947i −0.0844043 + 0.0542433i
\(65\) −9.40504 3.25512i −1.16655 0.403748i
\(66\) 0.0722278 0.0688690i 0.00889063 0.00847719i
\(67\) 11.3496 8.08205i 1.38658 0.987379i 0.388763 0.921338i \(-0.372902\pi\)
0.997817 0.0660416i \(-0.0210370\pi\)
\(68\) −2.05563 3.56045i −0.249281 0.431768i
\(69\) 0.507879 4.76886i 0.0611414 0.574104i
\(70\) 3.31743 3.64457i 0.396508 0.435610i
\(71\) 1.23062 2.69468i 0.146048 0.319800i −0.822444 0.568846i \(-0.807390\pi\)
0.968492 + 0.249046i \(0.0801172\pi\)
\(72\) 0.508395 + 2.09563i 0.0599150 + 0.246973i
\(73\) −2.56933 13.3309i −0.300717 1.56027i −0.746659 0.665207i \(-0.768343\pi\)
0.445942 0.895062i \(-0.352869\pi\)
\(74\) −1.43990 + 0.0685910i −0.167385 + 0.00797354i
\(75\) −0.936251 + 4.85773i −0.108109 + 0.560923i
\(76\) −0.207272 + 1.44161i −0.0237758 + 0.165364i
\(77\) −0.402007 0.195603i −0.0458130 0.0222910i
\(78\) 1.56786 + 1.00760i 0.177525 + 0.114088i
\(79\) 2.92807 + 3.72335i 0.329434 + 0.418909i 0.922350 0.386355i \(-0.126266\pi\)
−0.592916 + 0.805264i \(0.702024\pi\)
\(80\) 6.36955 + 0.608219i 0.712138 + 0.0680009i
\(81\) −0.995472 0.0950560i −0.110608 0.0105618i
\(82\) −1.23938 1.57600i −0.136867 0.174041i
\(83\) −0.880690 0.565985i −0.0966682 0.0621249i 0.491414 0.870926i \(-0.336480\pi\)
−0.588082 + 0.808801i \(0.700117\pi\)
\(84\) 3.61944 2.44631i 0.394913 0.266915i
\(85\) −1.11758 + 7.77294i −0.121219 + 0.843094i
\(86\) 0.724074 3.75685i 0.0780789 0.405112i
\(87\) −7.59937 + 0.362003i −0.814738 + 0.0388107i
\(88\) 0.0689600 + 0.357799i 0.00735116 + 0.0381415i
\(89\) 3.73347 + 15.3896i 0.395747 + 1.63129i 0.726210 + 0.687473i \(0.241280\pi\)
−0.330463 + 0.943819i \(0.607205\pi\)
\(90\) 0.773804 1.69439i 0.0815661 0.178605i
\(91\) 1.77994 8.15695i 0.186588 0.855080i
\(92\) 6.17087 + 4.96262i 0.643357 + 0.517389i
\(93\) 2.85198 + 4.93977i 0.295736 + 0.512230i
\(94\) −1.90861 + 1.35911i −0.196858 + 0.140182i
\(95\) 2.01337 1.91975i 0.206568 0.196962i
\(96\) −5.20794 1.80249i −0.531533 0.183965i
\(97\) 2.00388 1.28781i 0.203463 0.130758i −0.434942 0.900459i \(-0.643231\pi\)
0.638405 + 0.769701i \(0.279595\pi\)
\(98\) 3.36458 + 2.40244i 0.339874 + 0.242683i
\(99\) −0.167256 0.0240478i −0.0168099 0.00241690i
\(100\) −5.91190 5.63699i −0.591190 0.563699i
\(101\) −2.55654 4.95899i −0.254385 0.493438i 0.726715 0.686939i \(-0.241046\pi\)
−0.981100 + 0.193501i \(0.938016\pi\)
\(102\) 0.546548 1.36521i 0.0541163 0.135176i
\(103\) 7.34584 10.3158i 0.723807 1.01645i −0.274684 0.961535i \(-0.588573\pi\)
0.998491 0.0549107i \(-0.0174874\pi\)
\(104\) −6.18983 + 2.82680i −0.606963 + 0.277191i
\(105\) −8.32281 0.600645i −0.812223 0.0586170i
\(106\) 3.24911 5.05572i 0.315582 0.491055i
\(107\) 9.02736 9.46762i 0.872708 0.915269i −0.124326 0.992241i \(-0.539677\pi\)
0.997033 + 0.0769720i \(0.0245252\pi\)
\(108\) 1.02069 1.29792i 0.0982162 0.124892i
\(109\) 10.2082 3.53310i 0.977770 0.338409i 0.208986 0.977919i \(-0.432984\pi\)
0.768784 + 0.639509i \(0.220862\pi\)
\(110\) 0.144230 0.279766i 0.0137518 0.0266747i
\(111\) 1.59836 + 1.84460i 0.151709 + 0.175082i
\(112\) 0.124282 + 5.36616i 0.0117435 + 0.507055i
\(113\) 0.638962 + 0.291804i 0.0601085 + 0.0274506i 0.445242 0.895410i \(-0.353117\pi\)
−0.385134 + 0.922861i \(0.625845\pi\)
\(114\) −0.451156 + 0.260475i −0.0422547 + 0.0243957i
\(115\) −3.40558 14.7372i −0.317572 1.37425i
\(116\) 6.28108 10.8792i 0.583184 1.01010i
\(117\) −0.299957 3.14129i −0.0277311 0.290413i
\(118\) −1.36461 + 4.64742i −0.125622 + 0.427830i
\(119\) −6.58565 0.161010i −0.603706 0.0147598i
\(120\) 3.67698 + 5.72149i 0.335661 + 0.522298i
\(121\) 10.7732 + 2.07636i 0.979380 + 0.188760i
\(122\) −4.78957 3.76656i −0.433627 0.341008i
\(123\) −0.800339 + 3.29904i −0.0721641 + 0.297464i
\(124\) −9.40759 0.448139i −0.844827 0.0402441i
\(125\) −0.0237287 0.165037i −0.00212236 0.0147613i
\(126\) 1.48810 + 0.476750i 0.132570 + 0.0424723i
\(127\) −5.60444 12.2720i −0.497314 1.08897i −0.977333 0.211707i \(-0.932098\pi\)
0.480019 0.877258i \(-0.340630\pi\)
\(128\) 9.03658 7.10644i 0.798728 0.628127i
\(129\) −5.75792 + 2.96841i −0.506957 + 0.261354i
\(130\) 5.71229 + 1.38579i 0.501001 + 0.121542i
\(131\) −5.26907 13.1615i −0.460360 1.14992i −0.959073 0.283158i \(-0.908618\pi\)
0.498713 0.866767i \(-0.333806\pi\)
\(132\) 0.182713 0.210862i 0.0159031 0.0183532i
\(133\) 1.79861 + 1.48700i 0.155959 + 0.128940i
\(134\) −6.21912 + 5.38889i −0.537250 + 0.465530i
\(135\) −3.06500 + 0.743562i −0.263794 + 0.0639956i
\(136\) 3.11446 + 4.37365i 0.267063 + 0.375038i
\(137\) 1.04778 + 0.604938i 0.0895181 + 0.0516833i 0.544091 0.839026i \(-0.316875\pi\)
−0.454573 + 0.890710i \(0.650208\pi\)
\(138\) −0.0308708 + 2.83229i −0.00262790 + 0.241101i
\(139\) 17.2370i 1.46202i 0.682364 + 0.731012i \(0.260952\pi\)
−0.682364 + 0.731012i \(0.739048\pi\)
\(140\) 8.26407 11.0247i 0.698442 0.931758i
\(141\) 3.80651 + 1.11769i 0.320566 + 0.0941265i
\(142\) −0.572242 + 1.65338i −0.0480215 + 0.138749i
\(143\) −0.0253715 0.532614i −0.00212167 0.0445394i
\(144\) 0.663543 + 1.91718i 0.0552953 + 0.159765i
\(145\) −22.2761 + 8.91800i −1.84993 + 0.740599i
\(146\) 2.25901 + 7.69348i 0.186957 + 0.636717i
\(147\) −0.324070 6.99249i −0.0267288 0.576731i
\(148\) −3.98912 + 0.573548i −0.327903 + 0.0471454i
\(149\) −2.81672 2.00577i −0.230754 0.164319i 0.458832 0.888523i \(-0.348268\pi\)
−0.689586 + 0.724204i \(0.742207\pi\)
\(150\) 0.277737 2.90859i 0.0226771 0.237485i
\(151\) 10.7891 + 4.31930i 0.878004 + 0.351500i 0.766485 0.642263i \(-0.222004\pi\)
0.111519 + 0.993762i \(0.464428\pi\)
\(152\) 0.0905048 1.89993i 0.00734091 0.154105i
\(153\) −2.38903 + 0.701482i −0.193141 + 0.0567114i
\(154\) 0.247335 + 0.0924328i 0.0199308 + 0.00744844i
\(155\) 13.5957 + 11.7808i 1.09204 + 0.946255i
\(156\) 4.63122 + 2.38756i 0.370795 + 0.191158i
\(157\) 7.02367 1.35370i 0.560550 0.108037i 0.0988967 0.995098i \(-0.468469\pi\)
0.461653 + 0.887061i \(0.347257\pi\)
\(158\) −1.93055 2.02470i −0.153586 0.161076i
\(159\) −10.1294 + 0.967244i −0.803316 + 0.0767074i
\(160\) −17.3813 −1.37411
\(161\) 11.9390 4.29668i 0.940921 0.338626i
\(162\) 0.590609 0.0464026
\(163\) 2.31896 0.221434i 0.181635 0.0173440i −0.00384214 0.999993i \(-0.501223\pi\)
0.185477 + 0.982649i \(0.440617\pi\)
\(164\) −3.86811 4.05676i −0.302049 0.316780i
\(165\) −0.523304 + 0.100859i −0.0407392 + 0.00785183i
\(166\) 0.549563 + 0.283319i 0.0426543 + 0.0219898i
\(167\) 1.62517 + 1.40821i 0.125759 + 0.108971i 0.715470 0.698644i \(-0.246213\pi\)
−0.589711 + 0.807615i \(0.700758\pi\)
\(168\) −4.40185 + 3.62971i −0.339610 + 0.280038i
\(169\) −2.91906 + 0.857114i −0.224543 + 0.0659318i
\(170\) 0.220684 4.63272i 0.0169257 0.355313i
\(171\) 0.818873 + 0.327827i 0.0626208 + 0.0250696i
\(172\) 1.01676 10.6480i 0.0775273 0.811902i
\(173\) 12.6945 + 9.03973i 0.965147 + 0.687278i 0.949883 0.312605i \(-0.101202\pi\)
0.0152639 + 0.999884i \(0.495141\pi\)
\(174\) 4.44761 0.639469i 0.337172 0.0484781i
\(175\) −12.6451 + 3.37951i −0.955878 + 0.255467i
\(176\) 0.0965814 + 0.328926i 0.00728010 + 0.0247937i
\(177\) 7.61360 3.04803i 0.572273 0.229104i
\(178\) −3.05902 8.83846i −0.229283 0.662471i
\(179\) −0.906770 19.0355i −0.0677752 1.42278i −0.735074 0.677987i \(-0.762853\pi\)
0.667299 0.744790i \(-0.267450\pi\)
\(180\) 1.70326 4.92126i 0.126954 0.366809i
\(181\) −13.5096 3.96678i −1.00416 0.294848i −0.261998 0.965068i \(-0.584382\pi\)
−0.742162 + 0.670220i \(0.766200\pi\)
\(182\) −0.588547 + 4.89568i −0.0436260 + 0.362892i
\(183\) 10.3168i 0.762639i
\(184\) −8.63864 5.68570i −0.636849 0.419156i
\(185\) 6.66660 + 3.84897i 0.490139 + 0.282982i
\(186\) −1.95410 2.74415i −0.143281 0.201211i
\(187\) −0.408871 + 0.0991911i −0.0298996 + 0.00725358i
\(188\) −4.95059 + 4.28971i −0.361059 + 0.312860i
\(189\) −0.922999 2.47953i −0.0671383 0.180359i
\(190\) −1.07596 + 1.24172i −0.0780580 + 0.0900838i
\(191\) 0.832304 + 2.07900i 0.0602234 + 0.150431i 0.955428 0.295225i \(-0.0953947\pi\)
−0.895204 + 0.445656i \(0.852970\pi\)
\(192\) −0.780027 0.189233i −0.0562936 0.0136567i
\(193\) 8.98494 4.63206i 0.646750 0.333423i −0.103449 0.994635i \(-0.532988\pi\)
0.750199 + 0.661212i \(0.229958\pi\)
\(194\) −1.10585 + 0.869650i −0.0793954 + 0.0624372i
\(195\) −4.13438 9.05304i −0.296069 0.648301i
\(196\) 10.0023 + 5.79202i 0.714450 + 0.413716i
\(197\) 0.622609 + 4.33034i 0.0443591 + 0.308524i 0.999906 + 0.0136861i \(0.00435656\pi\)
−0.955547 + 0.294838i \(0.904734\pi\)
\(198\) 0.0996857 + 0.00474862i 0.00708436 + 0.000337470i
\(199\) −4.10211 + 16.9091i −0.290791 + 1.19866i 0.619604 + 0.784915i \(0.287293\pi\)
−0.910395 + 0.413741i \(0.864222\pi\)
\(200\) 8.38569 + 6.59458i 0.592958 + 0.466307i
\(201\) 13.6814 + 2.63688i 0.965012 + 0.185991i
\(202\) 1.78148 + 2.77204i 0.125344 + 0.195040i
\(203\) −9.63535 17.6729i −0.676269 1.24039i
\(204\) 1.15827 3.94472i 0.0810954 0.276186i
\(205\) 1.01773 + 10.6582i 0.0710816 + 0.744401i
\(206\) −3.73974 + 6.47741i −0.260560 + 0.451303i
\(207\) 3.80187 2.92332i 0.264248 0.203185i
\(208\) −5.54423 + 3.20096i −0.384423 + 0.221947i
\(209\) 0.135578 + 0.0619162i 0.00937809 + 0.00428283i
\(210\) 4.92699 0.114110i 0.339994 0.00787436i
\(211\) 14.6437 + 16.8997i 1.00811 + 1.16343i 0.986517 + 0.163659i \(0.0523297\pi\)
0.0215973 + 0.999767i \(0.493125\pi\)
\(212\) 7.69894 14.9339i 0.528766 1.02566i
\(213\) 2.79946 0.968902i 0.191816 0.0663881i
\(214\) −4.77597 + 6.07315i −0.326479 + 0.415152i
\(215\) −14.0991 + 14.7867i −0.961552 + 1.00845i
\(216\) −1.16585 + 1.81410i −0.0793259 + 0.123434i
\(217\) −8.46680 + 12.4924i −0.574764 + 0.848036i
\(218\) −5.80341 + 2.65033i −0.393057 + 0.179503i
\(219\) 7.87502 11.0589i 0.532144 0.747292i
\(220\) 0.327053 0.816938i 0.0220499 0.0550780i
\(221\) −3.60030 6.98362i −0.242183 0.469769i
\(222\) −1.04329 0.994773i −0.0700209 0.0667648i
\(223\) −16.8152 2.41766i −1.12603 0.161899i −0.445965 0.895050i \(-0.647140\pi\)
−0.680065 + 0.733151i \(0.738049\pi\)
\(224\) −1.72170 14.4788i −0.115036 0.967409i
\(225\) −4.16179 + 2.67462i −0.277453 + 0.178308i
\(226\) −0.392050 0.135690i −0.0260788 0.00902596i
\(227\) −9.83187 + 9.37467i −0.652564 + 0.622218i −0.942253 0.334902i \(-0.891297\pi\)
0.289689 + 0.957121i \(0.406448\pi\)
\(228\) −1.18638 + 0.844816i −0.0785698 + 0.0559493i
\(229\) −10.2204 17.7023i −0.675384 1.16980i −0.976356 0.216167i \(-0.930644\pi\)
0.300972 0.953633i \(-0.402689\pi\)
\(230\) 2.82962 + 8.47334i 0.186580 + 0.558715i
\(231\) −0.135852 0.425928i −0.00893842 0.0280240i
\(232\) −6.81530 + 14.9234i −0.447447 + 0.979771i
\(233\) 4.82481 + 19.8882i 0.316084 + 1.30292i 0.879166 + 0.476515i \(0.158100\pi\)
−0.563082 + 0.826401i \(0.690385\pi\)
\(234\) 0.352710 + 1.83004i 0.0230574 + 0.119633i
\(235\) 12.4980 0.595354i 0.815281 0.0388366i
\(236\) −2.56273 + 13.2967i −0.166820 + 0.865543i
\(237\) −0.674112 + 4.68855i −0.0437883 + 0.304554i
\(238\) 3.88097 0.275061i 0.251566 0.0178296i
\(239\) 9.67237 + 6.21605i 0.625654 + 0.402083i 0.814698 0.579885i \(-0.196903\pi\)
−0.189044 + 0.981969i \(0.560539\pi\)
\(240\) 3.95531 + 5.02958i 0.255314 + 0.324658i
\(241\) 20.1689 + 1.92590i 1.29919 + 0.124058i 0.721625 0.692284i \(-0.243396\pi\)
0.577568 + 0.816342i \(0.304002\pi\)
\(242\) −6.45049 0.615947i −0.414653 0.0395946i
\(243\) −0.618159 0.786053i −0.0396549 0.0504253i
\(244\) −14.3307 9.20976i −0.917427 0.589594i
\(245\) −8.17893 20.5065i −0.522532 1.31011i
\(246\) 0.285335 1.98455i 0.0181923 0.126530i
\(247\) −0.526763 + 2.73310i −0.0335171 + 0.173903i
\(248\) 12.2862 0.585263i 0.780174 0.0371642i
\(249\) −0.198123 1.02796i −0.0125555 0.0651443i
\(250\) 0.0232162 + 0.0956987i 0.00146832 + 0.00605252i
\(251\) 3.37324 7.38636i 0.212917 0.466223i −0.772797 0.634654i \(-0.781143\pi\)
0.985713 + 0.168431i \(0.0538700\pi\)
\(252\) 4.26818 + 0.931364i 0.268870 + 0.0586704i
\(253\) 0.665201 0.462845i 0.0418208 0.0290988i
\(254\) 3.98401 + 6.90050i 0.249979 + 0.432976i
\(255\) −6.39676 + 4.55511i −0.400581 + 0.285252i
\(256\) −3.75214 + 3.57766i −0.234509 + 0.223604i
\(257\) −5.88047 2.03525i −0.366814 0.126956i 0.137442 0.990510i \(-0.456112\pi\)
−0.504256 + 0.863554i \(0.668233\pi\)
\(258\) 3.21863 2.06849i 0.200383 0.128778i
\(259\) −2.54587 + 5.93462i −0.158193 + 0.368759i
\(260\) 16.2660 + 2.33869i 1.00877 + 0.145040i
\(261\) −5.50616 5.25011i −0.340823 0.324974i
\(262\) 3.83676 + 7.44228i 0.237036 + 0.459786i
\(263\) −11.3819 + 28.4305i −0.701836 + 1.75310i −0.0450999 + 0.998982i \(0.514361\pi\)
−0.656737 + 0.754120i \(0.728064\pi\)
\(264\) −0.211363 + 0.296818i −0.0130085 + 0.0182679i
\(265\) −29.1925 + 13.3318i −1.79328 + 0.818963i
\(266\) −1.14095 0.773286i −0.0699558 0.0474132i
\(267\) −8.56157 + 13.3221i −0.523960 + 0.815297i
\(268\) −15.8761 + 16.6504i −0.969788 + 1.01708i
\(269\) −16.6959 + 21.2306i −1.01797 + 1.29445i −0.0629171 + 0.998019i \(0.520040\pi\)
−0.955053 + 0.296435i \(0.904202\pi\)
\(270\) 1.76028 0.609238i 0.107127 0.0370770i
\(271\) 12.9931 25.2031i 0.789275 1.53098i −0.0570862 0.998369i \(-0.518181\pi\)
0.846361 0.532610i \(-0.178789\pi\)
\(272\) 3.30795 + 3.81758i 0.200574 + 0.231475i
\(273\) 7.13176 4.34074i 0.431633 0.262713i
\(274\) −0.649989 0.296840i −0.0392673 0.0179328i
\(275\) −0.723952 + 0.417974i −0.0436559 + 0.0252048i
\(276\) 0.666768 + 7.89067i 0.0401347 + 0.474962i
\(277\) −13.6749 + 23.6856i −0.821643 + 1.42313i 0.0828146 + 0.996565i \(0.473609\pi\)
−0.904458 + 0.426563i \(0.859724\pi\)
\(278\) −0.967702 10.1342i −0.0580389 0.607811i
\(279\) −1.60699 + 5.47290i −0.0962079 + 0.327654i
\(280\) −9.37527 + 15.3588i −0.560279 + 0.917866i
\(281\) −1.39732 2.17427i −0.0833570 0.129706i 0.797072 0.603885i \(-0.206381\pi\)
−0.880429 + 0.474179i \(0.842745\pi\)
\(282\) −2.30072 0.443428i −0.137006 0.0264058i
\(283\) −4.48124 3.52408i −0.266382 0.209485i 0.476029 0.879429i \(-0.342076\pi\)
−0.742411 + 0.669944i \(0.766318\pi\)
\(284\) −1.15320 + 4.75356i −0.0684299 + 0.282072i
\(285\) 2.77878 + 0.132369i 0.164600 + 0.00784088i
\(286\) 0.0448183 + 0.311718i 0.00265016 + 0.0184323i
\(287\) −8.77759 + 1.90353i −0.518125 + 0.112362i
\(288\) −2.28937 5.01302i −0.134902 0.295395i
\(289\) 8.48974 6.67641i 0.499397 0.392730i
\(290\) 12.5962 6.49380i 0.739675 0.381329i
\(291\) 2.31487 + 0.561581i 0.135700 + 0.0329205i
\(292\) 8.33152 + 20.8111i 0.487566 + 1.21788i
\(293\) −10.2182 + 11.7924i −0.596953 + 0.688921i −0.971161 0.238424i \(-0.923369\pi\)
0.374208 + 0.927345i \(0.377915\pi\)
\(294\) 0.583097 + 4.09294i 0.0340069 + 0.238705i
\(295\) 19.5478 16.9382i 1.13811 0.986182i
\(296\) 5.11494 1.24087i 0.297300 0.0721241i
\(297\) −0.0980158 0.137644i −0.00568745 0.00798691i
\(298\) 1.76865 + 1.02113i 0.102455 + 0.0591525i
\(299\) 11.3286 + 10.0345i 0.655147 + 0.580310i
\(300\) 8.16862i 0.471615i
\(301\) −13.7141 10.2800i −0.790468 0.592531i
\(302\) −6.58577 1.93376i −0.378968 0.111275i
\(303\) 1.82478 5.27235i 0.104831 0.302889i
\(304\) −0.0851470 1.78746i −0.00488352 0.102518i
\(305\) 10.6422 + 30.7486i 0.609371 + 1.76066i
\(306\) 1.36521 0.546548i 0.0780439 0.0312440i
\(307\) −0.988508 3.36655i −0.0564171 0.192139i 0.926463 0.376386i \(-0.122833\pi\)
−0.982880 + 0.184247i \(0.941015\pi\)
\(308\) 0.712915 + 0.191517i 0.0406221 + 0.0109127i
\(309\) 12.5351 1.80228i 0.713097 0.102528i
\(310\) −8.65479 6.16305i −0.491559 0.350038i
\(311\) −1.14942 + 12.0373i −0.0651777 + 0.682572i 0.902552 + 0.430581i \(0.141691\pi\)
−0.967730 + 0.251991i \(0.918915\pi\)
\(312\) −6.31732 2.52907i −0.357648 0.143181i
\(313\) 0.340644 7.15101i 0.0192544 0.404199i −0.968581 0.248697i \(-0.919998\pi\)
0.987836 0.155502i \(-0.0496994\pi\)
\(314\) −4.05346 + 1.19020i −0.228750 + 0.0671670i
\(315\) −5.30869 6.43799i −0.299111 0.362740i
\(316\) −5.91091 5.12183i −0.332515 0.288126i
\(317\) −20.7979 10.7220i −1.16812 0.602210i −0.238653 0.971105i \(-0.576706\pi\)
−0.929471 + 0.368895i \(0.879736\pi\)
\(318\) 5.90114 1.13735i 0.330920 0.0637795i
\(319\) −0.887143 0.930409i −0.0496705 0.0520929i
\(320\) −2.52003 + 0.240634i −0.140874 + 0.0134518i
\(321\) 13.0816 0.730145
\(322\) −6.77810 + 3.19643i −0.377729 + 0.178130i
\(323\) 2.19622 0.122201
\(324\) 1.64370 0.156955i 0.0913169 0.00871971i
\(325\) −10.7729 11.2983i −0.597572 0.626716i
\(326\) −1.35097 + 0.260377i −0.0748230 + 0.0144210i
\(327\) 9.60150 + 4.94992i 0.530964 + 0.273731i
\(328\) 5.53244 + 4.79389i 0.305478 + 0.264698i
\(329\) 1.73393 + 10.3520i 0.0955945 + 0.570726i
\(330\) 0.302006 0.0886771i 0.0166249 0.00488151i
\(331\) −0.334071 + 7.01301i −0.0183622 + 0.385470i 0.970915 + 0.239423i \(0.0769582\pi\)
−0.989278 + 0.146047i \(0.953345\pi\)
\(332\) 1.60476 + 0.642450i 0.0880728 + 0.0352590i
\(333\) −0.232009 + 2.42971i −0.0127140 + 0.133147i
\(334\) −1.03455 0.736699i −0.0566080 0.0403104i
\(335\) 43.4967 6.25389i 2.37648 0.341686i
\(336\) −3.79791 + 3.79302i −0.207193 + 0.206926i
\(337\) −6.17820 21.0410i −0.336548 1.14618i −0.937817 0.347131i \(-0.887156\pi\)
0.601268 0.799047i \(-0.294662\pi\)
\(338\) 1.66810 0.667806i 0.0907326 0.0363238i
\(339\) 0.229746 + 0.663807i 0.0124781 + 0.0360530i
\(340\) −0.616971 12.9518i −0.0334600 0.702411i
\(341\) −0.315239 + 0.910822i −0.0170711 + 0.0493238i
\(342\) −0.499848 0.146769i −0.0270287 0.00793634i
\(343\) 16.2720 8.84440i 0.878603 0.477553i
\(344\) 13.9694i 0.753179i
\(345\) 8.31572 12.6346i 0.447703 0.680224i
\(346\) −7.97105 4.60209i −0.428526 0.247410i
\(347\) −17.1193 24.0407i −0.919014 1.29057i −0.956637 0.291283i \(-0.905918\pi\)
0.0376227 0.999292i \(-0.488021\pi\)
\(348\) 12.2081 2.96164i 0.654420 0.158761i
\(349\) 2.03234 1.76103i 0.108789 0.0942660i −0.598768 0.800923i \(-0.704343\pi\)
0.707557 + 0.706657i \(0.249797\pi\)
\(350\) 7.24475 2.69684i 0.387248 0.144152i
\(351\) 2.06647 2.38483i 0.110300 0.127293i
\(352\) −0.346105 0.864529i −0.0184475 0.0460795i
\(353\) −5.63486 1.36700i −0.299913 0.0727582i 0.0829785 0.996551i \(-0.473557\pi\)
−0.382892 + 0.923793i \(0.625072\pi\)
\(354\) −4.30518 + 2.21948i −0.228818 + 0.117964i
\(355\) 7.34417 5.77552i 0.389788 0.306533i
\(356\) −10.8623 23.7851i −0.575700 1.26061i
\(357\) −4.42809 4.87737i −0.234359 0.258138i
\(358\) 1.60179 + 11.1407i 0.0846572 + 0.588804i
\(359\) 2.43972 + 0.116218i 0.128764 + 0.00613377i 0.111865 0.993723i \(-0.464318\pi\)
0.0168988 + 0.999857i \(0.494621\pi\)
\(360\) −1.60343 + 6.60944i −0.0845083 + 0.348348i
\(361\) 14.3234 + 11.2641i 0.753865 + 0.592846i
\(362\) 8.16546 + 1.57376i 0.429167 + 0.0827152i
\(363\) 5.93161 + 9.22977i 0.311329 + 0.484437i
\(364\) −0.336937 + 13.7814i −0.0176603 + 0.722342i
\(365\) 12.0633 41.0839i 0.631423 2.15043i
\(366\) −0.579194 6.06560i −0.0302750 0.317054i
\(367\) 10.1383 17.5600i 0.529215 0.916627i −0.470205 0.882557i \(-0.655820\pi\)
0.999419 0.0340694i \(-0.0108467\pi\)
\(368\) −8.59891 4.55235i −0.448249 0.237308i
\(369\) −2.93992 + 1.69737i −0.153046 + 0.0883614i
\(370\) −4.13561 1.88867i −0.215000 0.0981873i
\(371\) −13.9972 22.9971i −0.726696 1.19395i
\(372\) −6.16765 7.11785i −0.319778 0.369043i
\(373\) 7.32575 14.2100i 0.379313 0.735765i −0.619473 0.785018i \(-0.712654\pi\)
0.998786 + 0.0492529i \(0.0156840\pi\)
\(374\) 0.234821 0.0812723i 0.0121423 0.00420249i
\(375\) 0.103068 0.131062i 0.00532241 0.00676800i
\(376\) 5.90360 6.19152i 0.304455 0.319303i
\(377\) 12.9795 20.1965i 0.668478 1.04017i
\(378\) 0.681866 + 1.40598i 0.0350714 + 0.0723160i
\(379\) 2.55632 1.16743i 0.131309 0.0599670i −0.348677 0.937243i \(-0.613369\pi\)
0.479986 + 0.877276i \(0.340642\pi\)
\(380\) −2.66447 + 3.74173i −0.136684 + 0.191946i
\(381\) 5.01417 12.5248i 0.256884 0.641664i
\(382\) −0.606057 1.17559i −0.0310086 0.0601482i
\(383\) −26.8220 25.5748i −1.37054 1.30681i −0.907242 0.420608i \(-0.861817\pi\)
−0.463300 0.886201i \(-0.653335\pi\)
\(384\) 11.3791 + 1.63607i 0.580689 + 0.0834904i
\(385\) −0.844263 1.12932i −0.0430276 0.0575554i
\(386\) −5.02251 + 3.22777i −0.255639 + 0.164289i
\(387\) −6.12176 2.11876i −0.311187 0.107703i
\(388\) −2.84654 + 2.71417i −0.144511 + 0.137791i
\(389\) 20.8512 14.8481i 1.05720 0.752827i 0.0872610 0.996185i \(-0.472189\pi\)
0.969936 + 0.243359i \(0.0782492\pi\)
\(390\) 2.93899 + 5.09048i 0.148822 + 0.257767i
\(391\) 6.08289 10.2756i 0.307625 0.519659i
\(392\) −13.7228 6.28834i −0.693104 0.317609i
\(393\) 5.88935 12.8959i 0.297078 0.650511i
\(394\) −0.609163 2.51100i −0.0306892 0.126502i
\(395\) 2.82728 + 14.6693i 0.142256 + 0.738095i
\(396\) 0.278694 0.0132758i 0.0140049 0.000667136i
\(397\) 3.67410 19.0630i 0.184398 0.956747i −0.765322 0.643647i \(-0.777421\pi\)
0.949720 0.313100i \(-0.101367\pi\)
\(398\) 1.46248 10.1717i 0.0733073 0.509864i
\(399\) 0.164986 + 2.32786i 0.00825962 + 0.116539i
\(400\) 8.44329 + 5.42617i 0.422164 + 0.271309i
\(401\) −6.46310 8.21850i −0.322752 0.410412i 0.597419 0.801929i \(-0.296193\pi\)
−0.920171 + 0.391517i \(0.871950\pi\)
\(402\) −8.19181 0.782223i −0.408570 0.0390137i
\(403\) −17.9178 1.71094i −0.892549 0.0852281i
\(404\) 5.69465 + 7.24134i 0.283319 + 0.360270i
\(405\) −2.65324 1.70513i −0.131840 0.0847287i
\(406\) 6.65712 + 9.84955i 0.330388 + 0.488825i
\(407\) −0.0586949 + 0.408232i −0.00290940 + 0.0202353i
\(408\) −1.01614 + 5.27221i −0.0503062 + 0.261013i
\(409\) −7.50150 + 0.357340i −0.370925 + 0.0176693i −0.232217 0.972664i \(-0.574598\pi\)
−0.138708 + 0.990333i \(0.544295\pi\)
\(410\) −1.19672 6.20918i −0.0591019 0.306650i
\(411\) 0.285239 + 1.17577i 0.0140698 + 0.0579965i
\(412\) −8.68656 + 19.0209i −0.427956 + 0.937093i
\(413\) 16.0460 + 14.6057i 0.789574 + 0.718700i
\(414\) −2.07113 + 1.93216i −0.101790 + 0.0949606i
\(415\) −1.65088 2.85940i −0.0810384 0.140363i
\(416\) 14.1659 10.0875i 0.694542 0.494581i
\(417\) −12.4750 + 11.8949i −0.610904 + 0.582496i
\(418\) −0.0831867 0.0287912i −0.00406880 0.00140822i
\(419\) 24.4999 15.7451i 1.19690 0.769200i 0.218481 0.975841i \(-0.429890\pi\)
0.978417 + 0.206642i \(0.0662534\pi\)
\(420\) 13.6818 1.62693i 0.667604 0.0793859i
\(421\) 31.9220 + 4.58970i 1.55579 + 0.223688i 0.865895 0.500226i \(-0.166750\pi\)
0.689890 + 0.723914i \(0.257659\pi\)
\(422\) −9.55831 9.11383i −0.465291 0.443654i
\(423\) 1.81788 + 3.52619i 0.0883883 + 0.171449i
\(424\) −8.15527 + 20.3709i −0.396055 + 0.989297i
\(425\) −7.14502 + 10.0338i −0.346585 + 0.486710i
\(426\) −1.59150 + 0.726815i −0.0771086 + 0.0352143i
\(427\) −24.5598 + 11.9109i −1.18853 + 0.576408i
\(428\) −11.6779 + 18.1712i −0.564473 + 0.878338i
\(429\) 0.367963 0.385908i 0.0177654 0.0186318i
\(430\) 7.45922 9.48517i 0.359716 0.457415i
\(431\) −4.45367 + 1.54143i −0.214526 + 0.0742481i −0.432217 0.901770i \(-0.642269\pi\)
0.217691 + 0.976018i \(0.430147\pi\)
\(432\) −0.929633 + 1.80324i −0.0447270 + 0.0867582i
\(433\) −6.61273 7.63150i −0.317788 0.366746i 0.574272 0.818665i \(-0.305285\pi\)
−0.892059 + 0.451918i \(0.850740\pi\)
\(434\) 4.27659 7.82002i 0.205283 0.375373i
\(435\) −21.8265 9.96784i −1.04650 0.477921i
\(436\) −15.4470 + 8.91831i −0.739775 + 0.427109i
\(437\) −3.94408 + 1.52931i −0.188671 + 0.0731568i
\(438\) −4.00914 + 6.94403i −0.191564 + 0.331799i
\(439\) −1.86446 19.5255i −0.0889856 0.931900i −0.924183 0.381950i \(-0.875253\pi\)
0.835198 0.549950i \(-0.185353\pi\)
\(440\) −0.323776 + 1.10268i −0.0154354 + 0.0525682i
\(441\) 4.83707 5.05991i 0.230337 0.240948i
\(442\) 2.50881 + 3.90378i 0.119332 + 0.185684i
\(443\) 23.0413 + 4.44085i 1.09473 + 0.210991i 0.704483 0.709720i \(-0.251179\pi\)
0.390243 + 0.920712i \(0.372391\pi\)
\(444\) −3.16790 2.49127i −0.150342 0.118230i
\(445\) −11.7750 + 48.5373i −0.558190 + 2.30089i
\(446\) 10.0220 + 0.477406i 0.474555 + 0.0226058i
\(447\) −0.492109 3.42270i −0.0232760 0.161888i
\(448\) −0.450072 2.07538i −0.0212639 0.0980524i
\(449\) −9.94899 21.7853i −0.469522 1.02811i −0.985213 0.171335i \(-0.945192\pi\)
0.515691 0.856775i \(-0.327535\pi\)
\(450\) 2.29671 1.80615i 0.108268 0.0851427i
\(451\) −0.509862 + 0.262852i −0.0240084 + 0.0123772i
\(452\) −1.12716 0.273447i −0.0530172 0.0128618i
\(453\) 4.31930 + 10.7891i 0.202938 + 0.506916i
\(454\) 5.25419 6.06366i 0.246591 0.284582i
\(455\) 16.7782 20.2940i 0.786572 0.951399i
\(456\) 1.43750 1.24560i 0.0673171 0.0583306i
\(457\) 27.5687 6.68811i 1.28961 0.312856i 0.468418 0.883507i \(-0.344824\pi\)
0.821193 + 0.570650i \(0.193309\pi\)
\(458\) 7.00276 + 9.83400i 0.327217 + 0.459513i
\(459\) −2.15630 1.24494i −0.100648 0.0581090i
\(460\) 10.1268 + 22.8299i 0.472165 + 1.06445i
\(461\) 25.8924i 1.20593i 0.797767 + 0.602966i \(0.206014\pi\)
−0.797767 + 0.602966i \(0.793986\pi\)
\(462\) 0.103784 + 0.242791i 0.00482848 + 0.0112957i
\(463\) −31.1469 9.14556i −1.44752 0.425030i −0.538799 0.842435i \(-0.681122\pi\)
−0.908721 + 0.417405i \(0.862940\pi\)
\(464\) −5.04823 + 14.5859i −0.234358 + 0.677133i
\(465\) 0.855986 + 17.9694i 0.0396954 + 0.833309i
\(466\) −3.95321 11.4221i −0.183129 0.529117i
\(467\) −31.0488 + 12.4301i −1.43677 + 0.575195i −0.953800 0.300443i \(-0.902866\pi\)
−0.482968 + 0.875638i \(0.660441\pi\)
\(468\) 1.46795 + 4.99938i 0.0678560 + 0.231096i
\(469\) 9.51812 + 35.6138i 0.439506 + 1.64449i
\(470\) −7.31460 + 1.05168i −0.337397 + 0.0485104i
\(471\) 5.82661 + 4.14911i 0.268476 + 0.191181i
\(472\) 1.68106 17.6049i 0.0773771 0.810329i
\(473\) −1.01622 0.406835i −0.0467261 0.0187063i
\(474\) 0.133114 2.79440i 0.00611412 0.128351i
\(475\) 4.18690 1.22938i 0.192108 0.0564080i
\(476\) 10.7279 1.79688i 0.491713 0.0823601i
\(477\) −7.69014 6.66354i −0.352107 0.305103i
\(478\) −6.03570 3.11162i −0.276066 0.142322i
\(479\) −12.5732 + 2.42328i −0.574483 + 0.110723i −0.468214 0.883615i \(-0.655102\pi\)
−0.106269 + 0.994337i \(0.533890\pi\)
\(480\) −11.9945 12.5795i −0.547471 0.574171i
\(481\) −7.66715 + 0.732124i −0.349592 + 0.0333820i
\(482\) −11.9661 −0.545042
\(483\) 11.3485 + 5.67557i 0.516373 + 0.258248i
\(484\) −18.1158 −0.823448
\(485\) 7.47863 0.714123i 0.339587 0.0324266i
\(486\) 0.407567 + 0.427444i 0.0184876 + 0.0193892i
\(487\) 20.6449 3.97899i 0.935512 0.180305i 0.301357 0.953511i \(-0.402560\pi\)
0.634155 + 0.773206i \(0.281348\pi\)
\(488\) 19.7742 + 10.1943i 0.895137 + 0.461475i
\(489\) 1.76053 + 1.52550i 0.0796137 + 0.0689857i
\(490\) 5.95992 + 11.5973i 0.269242 + 0.523912i
\(491\) 6.65794 1.95495i 0.300469 0.0882255i −0.128023 0.991771i \(-0.540863\pi\)
0.428492 + 0.903546i \(0.359045\pi\)
\(492\) 0.266712 5.59897i 0.0120243 0.252421i
\(493\) −17.5861 7.04041i −0.792038 0.317084i
\(494\) 0.156263 1.63646i 0.00703060 0.0736278i
\(495\) −0.434116 0.309133i −0.0195121 0.0138945i
\(496\) 11.4542 1.64686i 0.514308 0.0739463i
\(497\) 5.53855 + 5.54569i 0.248438 + 0.248758i
\(498\) 0.174194 + 0.593250i 0.00780581 + 0.0265842i
\(499\) 5.14999 2.06174i 0.230545 0.0922963i −0.253514 0.967332i \(-0.581586\pi\)
0.484059 + 0.875035i \(0.339162\pi\)
\(500\) 0.0900444 + 0.260166i 0.00402691 + 0.0116350i
\(501\) 0.102320 + 2.14797i 0.00457133 + 0.0959641i
\(502\) −1.56857 + 4.53207i −0.0700085 + 0.202276i
\(503\) −20.4917 6.01691i −0.913680 0.268281i −0.209091 0.977896i \(-0.567050\pi\)
−0.704589 + 0.709616i \(0.748869\pi\)
\(504\) −5.66456 0.680981i −0.252320 0.0303333i
\(505\) 17.5963i 0.783025i
\(506\) −0.365110 + 0.309467i −0.0162311 + 0.0137575i
\(507\) −2.63471 1.52115i −0.117011 0.0675566i
\(508\) 12.9216 + 18.1458i 0.573302 + 0.805090i
\(509\) 1.35636 0.329049i 0.0601195 0.0145848i −0.205586 0.978639i \(-0.565910\pi\)
0.265706 + 0.964054i \(0.414395\pi\)
\(510\) 3.50515 3.03723i 0.155211 0.134491i
\(511\) 35.4183 + 5.97933i 1.56681 + 0.264510i
\(512\) −13.0516 + 15.0623i −0.576804 + 0.665667i
\(513\) 0.327827 + 0.818873i 0.0144739 + 0.0361541i
\(514\) 3.57159 + 0.866459i 0.157536 + 0.0382179i
\(515\) 35.5011 18.3021i 1.56436 0.806486i
\(516\) 8.40797 6.61210i 0.370140 0.291081i
\(517\) 0.278479 + 0.609784i 0.0122475 + 0.0268183i
\(518\) 1.16363 3.63209i 0.0511271 0.159585i
\(519\) 2.21786 + 15.4256i 0.0973535 + 0.677108i
\(520\) −21.4373 1.02118i −0.940087 0.0447819i
\(521\) 1.07699 4.43942i 0.0471839 0.194495i −0.943342 0.331823i \(-0.892336\pi\)
0.990526 + 0.137328i \(0.0438515\pi\)
\(522\) 3.53201 + 2.77760i 0.154592 + 0.121572i
\(523\) −13.6831 2.63720i −0.598319 0.115317i −0.118906 0.992906i \(-0.537939\pi\)
−0.479414 + 0.877589i \(0.659151\pi\)
\(524\) 12.6558 + 19.6928i 0.552870 + 0.860282i
\(525\) −11.1720 6.81954i −0.487585 0.297629i
\(526\) 5.09568 17.3543i 0.222182 0.756683i
\(527\) 1.35000 + 14.1379i 0.0588071 + 0.615856i
\(528\) −0.171406 + 0.296884i −0.00745950 + 0.0129202i
\(529\) −3.76868 + 22.6891i −0.163856 + 0.986484i
\(530\) 16.4148 9.47709i 0.713014 0.411659i
\(531\) 7.45995 + 3.40684i 0.323734 + 0.147844i
\(532\) −3.38083 1.84890i −0.146578 0.0801599i
\(533\) −7.01511 8.09586i −0.303858 0.350671i
\(534\) 4.28573 8.31316i 0.185462 0.359745i
\(535\) 38.9891 13.4943i 1.68565 0.583407i
\(536\) 18.5731 23.6176i 0.802236 1.02013i
\(537\) 13.1509 13.7922i 0.567502 0.595179i
\(538\) 8.62422 13.4195i 0.371816 0.578558i
\(539\) 0.857107 0.815145i 0.0369182 0.0351108i
\(540\) 4.73707 2.16335i 0.203851 0.0930956i
\(541\) −18.2081 + 25.5698i −0.782829 + 1.09933i 0.209753 + 0.977754i \(0.432734\pi\)
−0.992582 + 0.121576i \(0.961205\pi\)
\(542\) −6.22417 + 15.5472i −0.267351 + 0.667810i
\(543\) −6.45180 12.5147i −0.276873 0.537059i
\(544\) −9.93098 9.46917i −0.425787 0.405988i
\(545\) 33.7228 + 4.84861i 1.44453 + 0.207691i
\(546\) −3.94931 + 2.95245i −0.169015 + 0.126353i
\(547\) −25.8096 + 16.5868i −1.10354 + 0.709200i −0.959876 0.280426i \(-0.909524\pi\)
−0.143662 + 0.989627i \(0.545888\pi\)
\(548\) −1.88785 0.653391i −0.0806450 0.0279115i
\(549\) −7.46661 + 7.11940i −0.318667 + 0.303849i
\(550\) 0.402171 0.286385i 0.0171486 0.0122115i
\(551\) 3.35534 + 5.81162i 0.142942 + 0.247583i
\(552\) −1.84641 10.1757i −0.0785884 0.433105i
\(553\) −11.9397 + 3.80823i −0.507727 + 0.161942i
\(554\) 6.71020 14.6933i 0.285089 0.624258i
\(555\) 1.81486 + 7.48094i 0.0770364 + 0.317548i
\(556\) −5.38636 27.9471i −0.228433 1.18522i
\(557\) −12.3345 + 0.587562i −0.522628 + 0.0248958i −0.307239 0.951633i \(-0.599405\pi\)
−0.215389 + 0.976528i \(0.569102\pi\)
\(558\) 0.637551 3.30793i 0.0269897 0.140036i
\(559\) 2.90920 20.2340i 0.123046 0.855805i
\(560\) −7.40680 + 15.2226i −0.312994 + 0.643272i
\(561\) −0.353942 0.227464i −0.0149434 0.00960356i
\(562\) 0.943597 + 1.19988i 0.0398032 + 0.0506139i
\(563\) −28.2606 2.69856i −1.19104 0.113731i −0.519351 0.854561i \(-0.673826\pi\)
−0.671692 + 0.740831i \(0.734432\pi\)
\(564\) −6.52091 0.622672i −0.274580 0.0262192i
\(565\) 1.36949 + 1.74145i 0.0576149 + 0.0732633i
\(566\) 2.83252 + 1.82035i 0.119060 + 0.0765150i
\(567\) 1.15758 2.37908i 0.0486137 0.0999119i
\(568\) 0.909129 6.32313i 0.0381462 0.265313i
\(569\) 1.50327 7.79971i 0.0630204 0.326981i −0.936712 0.350100i \(-0.886148\pi\)
0.999733 + 0.0231192i \(0.00735971\pi\)
\(570\) −1.64117 + 0.0781785i −0.0687410 + 0.00327454i
\(571\) −8.21172 42.6064i −0.343650 1.78302i −0.583395 0.812188i \(-0.698276\pi\)
0.239746 0.970836i \(-0.422936\pi\)
\(572\) 0.207572 + 0.855622i 0.00867900 + 0.0357753i
\(573\) −0.930284 + 2.03704i −0.0388632 + 0.0850985i
\(574\) 5.05378 1.61193i 0.210941 0.0672808i
\(575\) 5.84449 22.9945i 0.243732 0.958937i
\(576\) −0.401326 0.695118i −0.0167219 0.0289632i
\(577\) −35.8570 + 25.5337i −1.49275 + 1.06298i −0.514030 + 0.857772i \(0.671848\pi\)
−0.978718 + 0.205209i \(0.934212\pi\)
\(578\) −4.61659 + 4.40191i −0.192025 + 0.183095i
\(579\) 9.55270 + 3.30622i 0.396997 + 0.137402i
\(580\) 33.3304 21.4201i 1.38397 0.889423i
\(581\) 2.21839 1.65844i 0.0920343 0.0688036i
\(582\) −1.39252 0.200214i −0.0577217 0.00829913i
\(583\) −1.24440 1.18653i −0.0515378 0.0491412i
\(584\) −13.4151 26.0217i −0.555122 1.07679i
\(585\) 3.69894 9.23951i 0.152932 0.382007i
\(586\) 5.34559 7.50683i 0.220824 0.310104i
\(587\) −3.96024 + 1.80858i −0.163457 + 0.0746481i −0.495463 0.868629i \(-0.665002\pi\)
0.332007 + 0.943277i \(0.392274\pi\)
\(588\) 2.71050 + 11.2360i 0.111779 + 0.463363i
\(589\) 2.72008 4.23252i 0.112079 0.174398i
\(590\) −10.5419 + 11.0560i −0.434002 + 0.455168i
\(591\) −2.70437 + 3.43888i −0.111243 + 0.141457i
\(592\) 4.67938 1.61955i 0.192321 0.0665631i
\(593\) 5.09443 9.88182i 0.209203 0.405798i −0.760766 0.649027i \(-0.775176\pi\)
0.969969 + 0.243229i \(0.0782066\pi\)
\(594\) 0.0653543 + 0.0754229i 0.00268152 + 0.00309464i
\(595\) −18.2289 9.96897i −0.747312 0.408688i
\(596\) 5.19364 + 2.37186i 0.212740 + 0.0971550i
\(597\) −15.0685 + 8.69979i −0.616712 + 0.356059i
\(598\) −7.22379 5.26363i −0.295403 0.215246i
\(599\) −10.8515 + 18.7953i −0.443380 + 0.767957i −0.997938 0.0641882i \(-0.979554\pi\)
0.554558 + 0.832145i \(0.312888\pi\)
\(600\) 1.01407 + 10.6198i 0.0413991 + 0.433551i
\(601\) −12.1475 + 41.3705i −0.495506 + 1.68754i 0.209061 + 0.977903i \(0.432959\pi\)
−0.704567 + 0.709637i \(0.748859\pi\)
\(602\) 8.64013 + 5.27407i 0.352145 + 0.214955i
\(603\) 7.53286 + 11.7214i 0.306762 + 0.477330i
\(604\) −18.8425 3.63160i −0.766692 0.147768i
\(605\) 27.1997 + 21.3901i 1.10583 + 0.869632i
\(606\) −0.776855 + 3.20224i −0.0315576 + 0.130082i
\(607\) −13.9439 0.664231i −0.565967 0.0269603i −0.237351 0.971424i \(-0.576279\pi\)
−0.328616 + 0.944464i \(0.606582\pi\)
\(608\) 0.691800 + 4.81158i 0.0280562 + 0.195135i
\(609\) 6.14130 19.1691i 0.248858 0.776771i
\(610\) −7.98318 17.4807i −0.323229 0.707774i
\(611\) −9.84048 + 7.73864i −0.398103 + 0.313072i
\(612\) 3.65423 1.88388i 0.147713 0.0761515i
\(613\) 41.0565 + 9.96021i 1.65826 + 0.402289i 0.952105 0.305771i \(-0.0989141\pi\)
0.706153 + 0.708060i \(0.250429\pi\)
\(614\) 0.770179 + 1.92381i 0.0310819 + 0.0776388i
\(615\) −7.01138 + 8.09156i −0.282726 + 0.326283i
\(616\) −0.950617 0.160483i −0.0383014 0.00646606i
\(617\) −27.6046 + 23.9196i −1.11132 + 0.962965i −0.999527 0.0307659i \(-0.990205\pi\)
−0.111795 + 0.993731i \(0.535660\pi\)
\(618\) −7.26864 + 1.76335i −0.292387 + 0.0709324i
\(619\) −17.6410 24.7733i −0.709052 0.995725i −0.999249 0.0387575i \(-0.987660\pi\)
0.290196 0.956967i \(-0.406279\pi\)
\(620\) −25.7247 14.8522i −1.03313 0.596477i
\(621\) 4.73930 + 0.734215i 0.190181 + 0.0294630i
\(622\) 7.14167i 0.286355i
\(623\) −41.5985 5.00088i −1.66661 0.200356i
\(624\) −6.14260 1.80363i −0.245901 0.0722030i
\(625\) 8.26224 23.8722i 0.330490 0.954887i
\(626\) 0.201188 + 4.22345i 0.00804107 + 0.168803i
\(627\) 0.0487484 + 0.140849i 0.00194682 + 0.00562497i
\(628\) −10.9648 + 4.38963i −0.437541 + 0.175165i
\(629\) 1.71215 + 5.83104i 0.0682678 + 0.232499i
\(630\) 3.48260 + 3.48708i 0.138750 + 0.138929i
\(631\) 44.1392 6.34625i 1.75715 0.252640i 0.813027 0.582226i \(-0.197818\pi\)
0.944126 + 0.329586i \(0.106909\pi\)
\(632\) 8.32044 + 5.92496i 0.330969 + 0.235682i
\(633\) −2.12560 + 22.2603i −0.0844851 + 0.884768i
\(634\) 12.8297 + 5.13625i 0.509534 + 0.203987i
\(635\) 2.02461 42.5018i 0.0803441 1.68663i
\(636\) 16.1210 4.73356i 0.639240 0.187698i
\(637\) 18.5671 + 11.9662i 0.735656 + 0.474117i
\(638\) 0.573816 + 0.497215i 0.0227176 + 0.0196849i
\(639\) 2.63307 + 1.35744i 0.104163 + 0.0536997i
\(640\) 35.6025 6.86183i 1.40731 0.271238i
\(641\) −1.19741 1.25581i −0.0472950 0.0496015i 0.699661 0.714474i \(-0.253334\pi\)
−0.746956 + 0.664873i \(0.768486\pi\)
\(642\) −7.69114 + 0.734415i −0.303545 + 0.0289850i
\(643\) −20.5374 −0.809916 −0.404958 0.914335i \(-0.632714\pi\)
−0.404958 + 0.914335i \(0.632714\pi\)
\(644\) −18.0145 + 10.6972i −0.709869 + 0.421528i
\(645\) −20.4312 −0.804477
\(646\) −1.29123 + 0.123298i −0.0508029 + 0.00485109i
\(647\) 7.40753 + 7.76880i 0.291220 + 0.305423i 0.853049 0.521830i \(-0.174751\pi\)
−0.561829 + 0.827253i \(0.689902\pi\)
\(648\) −2.11745 + 0.408105i −0.0831813 + 0.0160319i
\(649\) 1.23173 + 0.635003i 0.0483498 + 0.0249260i
\(650\) 6.96805 + 6.03785i 0.273309 + 0.236824i
\(651\) −14.8839 + 2.49300i −0.583346 + 0.0977083i
\(652\) −3.69063 + 1.08367i −0.144536 + 0.0424397i
\(653\) −1.30183 + 27.3288i −0.0509445 + 1.06946i 0.818211 + 0.574918i \(0.194966\pi\)
−0.869155 + 0.494539i \(0.835337\pi\)
\(654\) −5.92295 2.37119i −0.231606 0.0927209i
\(655\) 4.25024 44.5105i 0.166071 1.73917i
\(656\) 5.61007 + 3.99491i 0.219036 + 0.155975i
\(657\) 13.4381 1.93211i 0.524270 0.0753787i
\(658\) −1.60061 5.98897i −0.0623982 0.233474i
\(659\) −9.88720 33.6727i −0.385150 1.31170i −0.892922 0.450210i \(-0.851349\pi\)
0.507772 0.861491i \(-0.330469\pi\)
\(660\) 0.816938 0.327053i 0.0317993 0.0127305i
\(661\) 1.61083 + 4.65418i 0.0626539 + 0.181026i 0.971983 0.235051i \(-0.0755257\pi\)
−0.909329 + 0.416077i \(0.863405\pi\)
\(662\) −0.197305 4.14195i −0.00766849 0.160981i
\(663\) 2.56979 7.42491i 0.0998022 0.288360i
\(664\) −2.16606 0.636013i −0.0840595 0.0246821i
\(665\) 2.89302 + 6.76788i 0.112187 + 0.262447i
\(666\) 1.44153i 0.0558583i
\(667\) 36.4844 + 0.397666i 1.41268 + 0.0153977i
\(668\) −3.07500 1.77535i −0.118975 0.0686904i
\(669\) −9.85409 13.8381i −0.380981 0.535013i
\(670\) −25.2221 + 6.11882i −0.974416 + 0.236391i
\(671\) −1.31749 + 1.14161i −0.0508612 + 0.0440715i
\(672\) 9.29072 11.2376i 0.358397 0.433500i
\(673\) −21.1819 + 24.4452i −0.816503 + 0.942295i −0.999164 0.0408813i \(-0.986983\pi\)
0.182661 + 0.983176i \(0.441529\pi\)
\(674\) 4.81364 + 12.0239i 0.185415 + 0.463143i
\(675\) −4.80768 1.16633i −0.185048 0.0448921i
\(676\) 4.46496 2.30185i 0.171729 0.0885326i
\(677\) −18.8321 + 14.8097i −0.723775 + 0.569183i −0.910639 0.413203i \(-0.864410\pi\)
0.186864 + 0.982386i \(0.440168\pi\)
\(678\) −0.172342 0.377377i −0.00661876 0.0144931i
\(679\) 1.33567 + 6.15905i 0.0512582 + 0.236363i
\(680\) 2.40997 + 16.7617i 0.0924182 + 0.642783i
\(681\) −13.5695 0.646396i −0.519986 0.0247700i
\(682\) 0.134205 0.553201i 0.00513898 0.0211832i
\(683\) 10.1915 + 8.01465i 0.389965 + 0.306672i 0.793822 0.608150i \(-0.208088\pi\)
−0.403857 + 0.914822i \(0.632331\pi\)
\(684\) −1.43012 0.275632i −0.0546819 0.0105391i
\(685\) 2.06300 + 3.21008i 0.0788230 + 0.122651i
\(686\) −9.07031 + 6.11345i −0.346306 + 0.233413i
\(687\) 5.75885 19.6128i 0.219714 0.748277i
\(688\) 1.24927 + 13.0829i 0.0476278 + 0.498781i
\(689\) 16.0548 27.8078i 0.611640 1.05939i
\(690\) −4.17978 + 7.89516i −0.159122 + 0.300564i
\(691\) −0.693162 + 0.400197i −0.0263691 + 0.0152242i −0.513127 0.858313i \(-0.671513\pi\)
0.486757 + 0.873537i \(0.338180\pi\)
\(692\) −23.4070 10.6896i −0.889800 0.406358i
\(693\) 0.214510 0.392245i 0.00814856 0.0149002i
\(694\) 11.4147 + 13.1733i 0.433297 + 0.500051i
\(695\) −24.9110 + 48.3206i −0.944928 + 1.83291i
\(696\) −15.5037 + 5.36588i −0.587666 + 0.203393i
\(697\) −5.22499 + 6.64411i −0.197910 + 0.251664i
\(698\) −1.09602 + 1.14947i −0.0414849 + 0.0435081i
\(699\) −11.0642 + 17.2163i −0.418488 + 0.651179i
\(700\) 19.4459 9.43078i 0.734987 0.356450i
\(701\) 17.6006 8.03793i 0.664766 0.303588i −0.0543057 0.998524i \(-0.517295\pi\)
0.719072 + 0.694936i \(0.244567\pi\)
\(702\) −1.08106 + 1.51814i −0.0408020 + 0.0572984i
\(703\) 0.800148 1.99867i 0.0301782 0.0753814i
\(704\) −0.0621489 0.120552i −0.00234232 0.00454347i
\(705\) 9.05550 + 8.63441i 0.341050 + 0.325191i
\(706\) 3.38967 + 0.487362i 0.127572 + 0.0183421i
\(707\) 14.6579 1.74300i 0.551268 0.0655521i
\(708\) −11.3918 + 7.32106i −0.428129 + 0.275142i
\(709\) 6.34821 + 2.19714i 0.238412 + 0.0825151i 0.443661 0.896195i \(-0.353679\pi\)
−0.205249 + 0.978710i \(0.565801\pi\)
\(710\) −3.99365 + 3.80794i −0.149879 + 0.142909i
\(711\) −3.85845 + 2.74759i −0.144703 + 0.103043i
\(712\) 17.0745 + 29.5739i 0.639894 + 1.10833i
\(713\) −12.2691 24.4494i −0.459483 0.915639i
\(714\) 2.87725 + 2.61898i 0.107678 + 0.0980127i
\(715\) 0.698612 1.52975i 0.0261266 0.0572093i
\(716\) 7.41854 + 30.5796i 0.277244 + 1.14281i
\(717\) 2.17593 + 11.2898i 0.0812616 + 0.421625i
\(718\) −1.44092 + 0.0686395i −0.0537747 + 0.00256160i
\(719\) −7.19800 + 37.3468i −0.268440 + 1.39280i 0.558031 + 0.829820i \(0.311557\pi\)
−0.826471 + 0.562980i \(0.809655\pi\)
\(720\) −0.910605 + 6.33340i −0.0339363 + 0.236032i
\(721\) 18.7624 + 27.7599i 0.698748 + 1.03383i
\(722\) −9.05362 5.81841i −0.336941 0.216539i
\(723\) 12.5243 + 15.9259i 0.465784 + 0.592292i
\(724\) 23.1433 + 2.20991i 0.860112 + 0.0821308i
\(725\) −37.4673 3.57769i −1.39150 0.132872i
\(726\) −4.00557 5.09349i −0.148661 0.189037i
\(727\) 27.6938 + 17.7977i 1.02711 + 0.660081i 0.941766 0.336270i \(-0.109166\pi\)
0.0853413 + 0.996352i \(0.472802\pi\)
\(728\) −1.27281 17.9587i −0.0471734 0.665592i
\(729\) 0.142315 0.989821i 0.00527092 0.0366601i
\(730\) −4.78596 + 24.8319i −0.177136 + 0.919070i
\(731\) −16.1113 + 0.767477i −0.595899 + 0.0283862i
\(732\) −3.22387 16.7271i −0.119158 0.618250i
\(733\) 1.88101 + 7.75363i 0.0694767 + 0.286387i 0.995942 0.0899923i \(-0.0286842\pi\)
−0.926466 + 0.376379i \(0.877169\pi\)
\(734\) −4.97482 + 10.8933i −0.183624 + 0.402080i
\(735\) 9.19712 20.0704i 0.339241 0.740309i
\(736\) 24.4283 + 10.0899i 0.900438 + 0.371918i
\(737\) 1.17719 + 2.03895i 0.0433623 + 0.0751057i
\(738\) 1.63319 1.16299i 0.0601186 0.0428103i
\(739\) 20.4658 19.5141i 0.752846 0.717837i −0.212972 0.977058i \(-0.568314\pi\)
0.965818 + 0.259221i \(0.0834658\pi\)
\(740\) −12.0116 4.15726i −0.441555 0.152824i
\(741\) −2.34155 + 1.50482i −0.0860189 + 0.0552810i
\(742\) 9.52049 + 12.7350i 0.349508 + 0.467516i
\(743\) 18.2353 + 2.62184i 0.668989 + 0.0961861i 0.468437 0.883497i \(-0.344817\pi\)
0.200552 + 0.979683i \(0.435726\pi\)
\(744\) 8.90201 + 8.48805i 0.326364 + 0.311187i
\(745\) −4.99736 9.69353i −0.183089 0.355143i
\(746\) −3.50930 + 8.76581i −0.128485 + 0.320939i
\(747\) 0.607249 0.852761i 0.0222181 0.0312009i
\(748\) 0.631925 0.288590i 0.0231055 0.0105519i
\(749\) 15.1029 + 31.1417i 0.551849 + 1.13789i
\(750\) −0.0532393 + 0.0828420i −0.00194403 + 0.00302496i
\(751\) −13.1443 + 13.7853i −0.479642 + 0.503034i −0.918445 0.395549i \(-0.870554\pi\)
0.438803 + 0.898583i \(0.355403\pi\)
\(752\) 4.97526 6.32656i 0.181429 0.230706i
\(753\) 7.67356 2.65584i 0.279640 0.0967844i
\(754\) −6.49725 + 12.6029i −0.236616 + 0.458971i
\(755\) 24.0028 + 27.7008i 0.873553 + 1.00813i
\(756\) 2.27132 + 3.73174i 0.0826072 + 0.135722i
\(757\) −27.3909 12.5090i −0.995540 0.454648i −0.150073 0.988675i \(-0.547951\pi\)
−0.845467 + 0.534027i \(0.820678\pi\)
\(758\) −1.43741 + 0.829888i −0.0522090 + 0.0301429i
\(759\) 0.794018 + 0.162029i 0.0288210 + 0.00588129i
\(760\) 2.99950 5.19529i 0.108803 0.188453i
\(761\) −3.02999 31.7315i −0.109837 1.15027i −0.867437 0.497547i \(-0.834234\pi\)
0.757600 0.652719i \(-0.226372\pi\)
\(762\) −2.24485 + 7.64525i −0.0813223 + 0.276958i
\(763\) −0.698541 + 28.5718i −0.0252889 + 1.03437i
\(764\) −1.99911 3.11068i −0.0723253 0.112540i
\(765\) −7.71096 1.48617i −0.278790 0.0537324i
\(766\) 17.2054 + 13.5305i 0.621656 + 0.488876i
\(767\) −6.10124 + 25.1496i −0.220303 + 0.908101i
\(768\) −5.17855 0.246685i −0.186865 0.00890146i
\(769\) −7.81209 54.3343i −0.281711 1.95935i −0.282235 0.959345i \(-0.591076\pi\)
0.000523959 1.00000i \(-0.499833\pi\)
\(770\) 0.559772 + 0.616567i 0.0201728 + 0.0222195i
\(771\) −2.58501 5.66038i −0.0930969 0.203854i
\(772\) −13.1202 + 10.3178i −0.472206 + 0.371347i