Properties

Label 354.2.e.b.49.2
Level 354
Weight 2
Character 354.49
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 49.2
Character \(\chi\) = 354.49
Dual form 354.2.e.b.289.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.370138 - 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(0.988453 - 1.16370i) q^{5} +(0.468408 - 0.883512i) q^{6} +(-2.12914 - 1.28106i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +O(q^{10})\) \(q+(0.370138 - 0.928977i) q^{2} +(0.994138 + 0.108119i) q^{3} +(-0.725995 - 0.687699i) q^{4} +(0.988453 - 1.16370i) q^{5} +(0.468408 - 0.883512i) q^{6} +(-2.12914 - 1.28106i) q^{7} +(-0.907575 + 0.419889i) q^{8} +(0.976621 + 0.214970i) q^{9} +(-0.715183 - 1.34898i) q^{10} +(0.211160 - 3.89462i) q^{11} +(-0.647386 - 0.762162i) q^{12} +(1.49667 - 0.329443i) q^{13} +(-1.97815 + 1.50375i) q^{14} +(1.10848 - 1.05000i) q^{15} +(0.0541389 + 0.998533i) q^{16} +(1.42372 - 0.856625i) q^{17} +(0.561187 - 0.827689i) q^{18} +(0.139721 - 0.503230i) q^{19} +(-1.51789 + 0.165080i) q^{20} +(-1.97815 - 1.50375i) q^{21} +(-3.53985 - 1.63771i) q^{22} +(1.78612 + 2.63434i) q^{23} +(-0.947653 + 0.319302i) q^{24} +(0.431759 + 2.63361i) q^{25} +(0.247931 - 1.51231i) q^{26} +(0.947653 + 0.319302i) q^{27} +(0.664761 + 2.39425i) q^{28} +(3.64750 + 9.15453i) q^{29} +(-0.565141 - 1.41840i) q^{30} +(-1.84745 - 6.65392i) q^{31} +(0.947653 + 0.319302i) q^{32} +(0.631005 - 3.84896i) q^{33} +(-0.268811 - 1.63967i) q^{34} +(-3.59532 + 1.21141i) q^{35} +(-0.561187 - 0.827689i) q^{36} +(-3.18992 - 1.47582i) q^{37} +(-0.415773 - 0.316062i) q^{38} +(1.52352 - 0.165693i) q^{39} +(-0.408472 + 1.47118i) q^{40} +(-1.26423 + 1.86460i) q^{41} +(-2.12914 + 1.28106i) q^{42} +(-0.159019 - 2.93293i) q^{43} +(-2.83163 + 2.68226i) q^{44} +(1.21550 - 0.924002i) q^{45} +(3.10835 - 0.684200i) q^{46} +(8.34367 + 9.82293i) q^{47} +(-0.0541389 + 0.998533i) q^{48} +(-0.386740 - 0.729469i) q^{49} +(2.60637 + 0.573706i) q^{50} +(1.50799 - 0.697672i) q^{51} +(-1.31314 - 0.790088i) q^{52} +(-1.41871 + 2.67597i) q^{53} +(0.647386 - 0.762162i) q^{54} +(-4.32344 - 4.09538i) q^{55} +(2.47026 + 0.268657i) q^{56} +(0.193311 - 0.485173i) q^{57} +9.85442 q^{58} +(-7.64435 + 0.750914i) q^{59} -1.52684 q^{60} +(-4.37777 + 10.9874i) q^{61} +(-6.86515 - 0.746630i) q^{62} +(-1.80397 - 1.70881i) q^{63} +(0.647386 - 0.762162i) q^{64} +(1.09602 - 2.06731i) q^{65} +(-3.34204 - 2.01084i) q^{66} +(-3.00863 + 1.39194i) q^{67} +(-1.62272 - 0.357187i) q^{68} +(1.49083 + 2.81201i) q^{69} +(-0.205399 + 3.78836i) q^{70} +(4.71927 + 5.55595i) q^{71} +(-0.976621 + 0.214970i) q^{72} +(3.51480 - 2.67188i) q^{73} +(-2.55171 + 2.41711i) q^{74} +(0.144484 + 2.66486i) q^{75} +(-0.447508 + 0.269257i) q^{76} +(-5.43884 + 8.02168i) q^{77} +(0.409988 - 1.47664i) q^{78} +(4.08134 - 0.443872i) q^{79} +(1.21550 + 0.924002i) q^{80} +(0.907575 + 0.419889i) q^{81} +(1.26423 + 1.86460i) q^{82} +(15.0327 - 5.06511i) q^{83} +(0.402000 + 2.45209i) q^{84} +(0.410430 - 2.50351i) q^{85} +(-2.78348 - 0.937863i) q^{86} +(2.63634 + 9.49523i) q^{87} +(1.44367 + 3.62333i) q^{88} +(1.07641 + 2.70159i) q^{89} +(-0.408472 - 1.47118i) q^{90} +(-3.60867 - 1.21590i) q^{91} +(0.514913 - 3.14083i) q^{92} +(-1.11721 - 6.81466i) q^{93} +(12.2136 - 4.11524i) q^{94} +(-0.447499 - 0.660012i) q^{95} +(0.907575 + 0.419889i) q^{96} +(3.51027 + 2.66844i) q^{97} +(-0.820807 + 0.0892681i) q^{98} +(1.04345 - 3.75817i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{18}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.370138 0.928977i 0.261727 0.656886i
\(3\) 0.994138 + 0.108119i 0.573966 + 0.0624225i
\(4\) −0.725995 0.687699i −0.362998 0.343850i
\(5\) 0.988453 1.16370i 0.442050 0.520421i −0.495342 0.868698i \(-0.664957\pi\)
0.937392 + 0.348277i \(0.113233\pi\)
\(6\) 0.468408 0.883512i 0.191227 0.360692i
\(7\) −2.12914 1.28106i −0.804739 0.484196i 0.0528056 0.998605i \(-0.483184\pi\)
−0.857545 + 0.514409i \(0.828011\pi\)
\(8\) −0.907575 + 0.419889i −0.320876 + 0.148453i
\(9\) 0.976621 + 0.214970i 0.325540 + 0.0716568i
\(10\) −0.715183 1.34898i −0.226161 0.426585i
\(11\) 0.211160 3.89462i 0.0636672 1.17427i −0.775842 0.630927i \(-0.782675\pi\)
0.839509 0.543345i \(-0.182843\pi\)
\(12\) −0.647386 0.762162i −0.186884 0.220017i
\(13\) 1.49667 0.329443i 0.415103 0.0913710i −0.00250845 0.999997i \(-0.500798\pi\)
0.417611 + 0.908626i \(0.362867\pi\)
\(14\) −1.97815 + 1.50375i −0.528683 + 0.401895i
\(15\) 1.10848 1.05000i 0.286207 0.271110i
\(16\) 0.0541389 + 0.998533i 0.0135347 + 0.249633i
\(17\) 1.42372 0.856625i 0.345303 0.207762i −0.332328 0.943164i \(-0.607834\pi\)
0.677631 + 0.735402i \(0.263007\pi\)
\(18\) 0.561187 0.827689i 0.132273 0.195088i
\(19\) 0.139721 0.503230i 0.0320542 0.115449i −0.945792 0.324772i \(-0.894712\pi\)
0.977846 + 0.209323i \(0.0671261\pi\)
\(20\) −1.51789 + 0.165080i −0.339410 + 0.0369130i
\(21\) −1.97815 1.50375i −0.431668 0.328146i
\(22\) −3.53985 1.63771i −0.754699 0.349161i
\(23\) 1.78612 + 2.63434i 0.372433 + 0.549297i 0.967009 0.254742i \(-0.0819905\pi\)
−0.594576 + 0.804039i \(0.702680\pi\)
\(24\) −0.947653 + 0.319302i −0.193439 + 0.0651772i
\(25\) 0.431759 + 2.63361i 0.0863518 + 0.526722i
\(26\) 0.247931 1.51231i 0.0486234 0.296589i
\(27\) 0.947653 + 0.319302i 0.182376 + 0.0614496i
\(28\) 0.664761 + 2.39425i 0.125628 + 0.452471i
\(29\) 3.64750 + 9.15453i 0.677323 + 1.69995i 0.713545 + 0.700609i \(0.247088\pi\)
−0.0362218 + 0.999344i \(0.511532\pi\)
\(30\) −0.565141 1.41840i −0.103180 0.258962i
\(31\) −1.84745 6.65392i −0.331812 1.19508i −0.921800 0.387667i \(-0.873281\pi\)
0.589987 0.807412i \(-0.299133\pi\)
\(32\) 0.947653 + 0.319302i 0.167523 + 0.0564451i
\(33\) 0.631005 3.84896i 0.109844 0.670018i
\(34\) −0.268811 1.63967i −0.0461007 0.281202i
\(35\) −3.59532 + 1.21141i −0.607720 + 0.204765i
\(36\) −0.561187 0.827689i −0.0935312 0.137948i
\(37\) −3.18992 1.47582i −0.524420 0.242623i 0.139773 0.990184i \(-0.455363\pi\)
−0.664193 + 0.747561i \(0.731225\pi\)
\(38\) −0.415773 0.316062i −0.0674472 0.0512721i
\(39\) 1.52352 0.165693i 0.243958 0.0265321i
\(40\) −0.408472 + 1.47118i −0.0645851 + 0.232615i
\(41\) −1.26423 + 1.86460i −0.197440 + 0.291202i −0.913502 0.406835i \(-0.866632\pi\)
0.716062 + 0.698037i \(0.245943\pi\)
\(42\) −2.12914 + 1.28106i −0.328533 + 0.197672i
\(43\) −0.159019 2.93293i −0.0242501 0.447267i −0.985294 0.170870i \(-0.945342\pi\)
0.961043 0.276397i \(-0.0891405\pi\)
\(44\) −2.83163 + 2.68226i −0.426884 + 0.404366i
\(45\) 1.21550 0.924002i 0.181197 0.137742i
\(46\) 3.10835 0.684200i 0.458301 0.100880i
\(47\) 8.34367 + 9.82293i 1.21705 + 1.43282i 0.868614 + 0.495489i \(0.165011\pi\)
0.348435 + 0.937333i \(0.386713\pi\)
\(48\) −0.0541389 + 0.998533i −0.00781428 + 0.144126i
\(49\) −0.386740 0.729469i −0.0552485 0.104210i
\(50\) 2.60637 + 0.573706i 0.368597 + 0.0811343i
\(51\) 1.50799 0.697672i 0.211161 0.0976936i
\(52\) −1.31314 0.790088i −0.182099 0.109565i
\(53\) −1.41871 + 2.67597i −0.194875 + 0.367573i −0.961623 0.274375i \(-0.911529\pi\)
0.766748 + 0.641949i \(0.221874\pi\)
\(54\) 0.647386 0.762162i 0.0880981 0.103717i
\(55\) −4.32344 4.09538i −0.582972 0.552221i
\(56\) 2.47026 + 0.268657i 0.330102 + 0.0359008i
\(57\) 0.193311 0.485173i 0.0256046 0.0642628i
\(58\) 9.85442 1.29395
\(59\) −7.64435 + 0.750914i −0.995210 + 0.0977607i
\(60\) −1.52684 −0.197114
\(61\) −4.37777 + 10.9874i −0.560516 + 1.40679i 0.326564 + 0.945175i \(0.394109\pi\)
−0.887081 + 0.461615i \(0.847270\pi\)
\(62\) −6.86515 0.746630i −0.871875 0.0948221i
\(63\) −1.80397 1.70881i −0.227279 0.215290i
\(64\) 0.647386 0.762162i 0.0809233 0.0952703i
\(65\) 1.09602 2.06731i 0.135945 0.256419i
\(66\) −3.34204 2.01084i −0.411376 0.247517i
\(67\) −3.00863 + 1.39194i −0.367563 + 0.170053i −0.594972 0.803747i \(-0.702837\pi\)
0.227409 + 0.973799i \(0.426975\pi\)
\(68\) −1.62272 0.357187i −0.196783 0.0433152i
\(69\) 1.49083 + 2.81201i 0.179475 + 0.338526i
\(70\) −0.205399 + 3.78836i −0.0245499 + 0.452795i
\(71\) 4.71927 + 5.55595i 0.560074 + 0.659370i 0.967204 0.254000i \(-0.0817464\pi\)
−0.407130 + 0.913370i \(0.633470\pi\)
\(72\) −0.976621 + 0.214970i −0.115096 + 0.0253345i
\(73\) 3.51480 2.67188i 0.411376 0.312720i −0.378938 0.925422i \(-0.623711\pi\)
0.790314 + 0.612702i \(0.209917\pi\)
\(74\) −2.55171 + 2.41711i −0.296630 + 0.280983i
\(75\) 0.144484 + 2.66486i 0.0166836 + 0.307711i
\(76\) −0.447508 + 0.269257i −0.0513327 + 0.0308858i
\(77\) −5.43884 + 8.02168i −0.619813 + 0.914156i
\(78\) 0.409988 1.47664i 0.0464220 0.167197i
\(79\) 4.08134 0.443872i 0.459186 0.0499395i 0.124397 0.992233i \(-0.460300\pi\)
0.334789 + 0.942293i \(0.391335\pi\)
\(80\) 1.21550 + 0.924002i 0.135898 + 0.103307i
\(81\) 0.907575 + 0.419889i 0.100842 + 0.0466543i
\(82\) 1.26423 + 1.86460i 0.139611 + 0.205911i
\(83\) 15.0327 5.06511i 1.65006 0.555969i 0.667935 0.744220i \(-0.267178\pi\)
0.982121 + 0.188251i \(0.0602819\pi\)
\(84\) 0.402000 + 2.45209i 0.0438618 + 0.267545i
\(85\) 0.410430 2.50351i 0.0445174 0.271544i
\(86\) −2.78348 0.937863i −0.300150 0.101132i
\(87\) 2.63634 + 9.49523i 0.282645 + 1.01800i
\(88\) 1.44367 + 3.62333i 0.153895 + 0.386248i
\(89\) 1.07641 + 2.70159i 0.114099 + 0.286368i 0.974926 0.222531i \(-0.0714320\pi\)
−0.860826 + 0.508899i \(0.830053\pi\)
\(90\) −0.408472 1.47118i −0.0430567 0.155076i
\(91\) −3.60867 1.21590i −0.378291 0.127461i
\(92\) 0.514913 3.14083i 0.0536834 0.327455i
\(93\) −1.11721 6.81466i −0.115849 0.706647i
\(94\) 12.2136 4.11524i 1.25974 0.424454i
\(95\) −0.447499 0.660012i −0.0459125 0.0677158i
\(96\) 0.907575 + 0.419889i 0.0926290 + 0.0428548i
\(97\) 3.51027 + 2.66844i 0.356414 + 0.270939i 0.768024 0.640421i \(-0.221240\pi\)
−0.411610 + 0.911360i \(0.635033\pi\)
\(98\) −0.820807 + 0.0892681i −0.0829140 + 0.00901744i
\(99\) 1.04345 3.75817i 0.104871 0.377711i
\(100\) 1.49768 2.20891i 0.149768 0.220891i
\(101\) −0.0372275 + 0.0223990i −0.00370427 + 0.00222879i −0.517405 0.855741i \(-0.673102\pi\)
0.513701 + 0.857970i \(0.328274\pi\)
\(102\) −0.0899551 1.65913i −0.00890689 0.164278i
\(103\) 1.27021 1.20321i 0.125158 0.118556i −0.622561 0.782571i \(-0.713908\pi\)
0.747719 + 0.664016i \(0.231149\pi\)
\(104\) −1.22002 + 0.927431i −0.119632 + 0.0909421i
\(105\) −3.70522 + 0.815581i −0.361593 + 0.0795926i
\(106\) 1.96080 + 2.30843i 0.190450 + 0.224215i
\(107\) 0.136524 2.51804i 0.0131983 0.243428i −0.984488 0.175449i \(-0.943862\pi\)
0.997687 0.0679787i \(-0.0216550\pi\)
\(108\) −0.468408 0.883512i −0.0450726 0.0850160i
\(109\) 7.80052 + 1.71702i 0.747154 + 0.164461i 0.572198 0.820115i \(-0.306091\pi\)
0.174956 + 0.984576i \(0.444022\pi\)
\(110\) −5.40478 + 2.50052i −0.515325 + 0.238415i
\(111\) −3.01166 1.81206i −0.285854 0.171993i
\(112\) 1.16391 2.19537i 0.109979 0.207443i
\(113\) −0.808941 + 0.952359i −0.0760988 + 0.0895904i −0.798894 0.601472i \(-0.794581\pi\)
0.722795 + 0.691062i \(0.242857\pi\)
\(114\) −0.379163 0.359162i −0.0355119 0.0336386i
\(115\) 4.83107 + 0.525411i 0.450500 + 0.0489948i
\(116\) 3.64750 9.15453i 0.338662 0.849977i
\(117\) 1.53250 0.141680
\(118\) −2.13188 + 7.37937i −0.196256 + 0.679326i
\(119\) −4.12869 −0.378476
\(120\) −0.565141 + 1.41840i −0.0515900 + 0.129481i
\(121\) −4.18796 0.455469i −0.380724 0.0414062i
\(122\) 8.58664 + 8.13370i 0.777398 + 0.736390i
\(123\) −1.45842 + 1.71698i −0.131501 + 0.154815i
\(124\) −3.23466 + 6.10121i −0.290481 + 0.547905i
\(125\) 10.0329 + 6.03660i 0.897370 + 0.539930i
\(126\) −2.25517 + 1.04335i −0.200906 + 0.0929491i
\(127\) −18.1603 3.99738i −1.61146 0.354710i −0.684251 0.729247i \(-0.739871\pi\)
−0.927212 + 0.374537i \(0.877802\pi\)
\(128\) −0.468408 0.883512i −0.0414018 0.0780922i
\(129\) 0.159019 2.93293i 0.0140008 0.258230i
\(130\) −1.51481 1.78337i −0.132857 0.156412i
\(131\) −17.5366 + 3.86009i −1.53218 + 0.337258i −0.899418 0.437090i \(-0.856009\pi\)
−0.632760 + 0.774348i \(0.718078\pi\)
\(132\) −3.10503 + 2.36039i −0.270259 + 0.205445i
\(133\) −0.942154 + 0.892456i −0.0816951 + 0.0773857i
\(134\) 0.179472 + 3.31016i 0.0155040 + 0.285954i
\(135\) 1.30828 0.787167i 0.112599 0.0677485i
\(136\) −0.932447 + 1.37526i −0.0799567 + 0.117927i
\(137\) 2.48553 8.95206i 0.212353 0.764826i −0.778238 0.627969i \(-0.783886\pi\)
0.990591 0.136857i \(-0.0436999\pi\)
\(138\) 3.16410 0.344117i 0.269346 0.0292932i
\(139\) −14.7714 11.2289i −1.25290 0.952426i −0.253008 0.967464i \(-0.581420\pi\)
−0.999887 + 0.0150380i \(0.995213\pi\)
\(140\) 3.44327 + 1.59303i 0.291009 + 0.134635i
\(141\) 7.23272 + 10.6675i 0.609105 + 0.898362i
\(142\) 6.90813 2.32762i 0.579717 0.195330i
\(143\) −0.967017 5.89854i −0.0808660 0.493261i
\(144\) −0.161782 + 0.986827i −0.0134818 + 0.0822355i
\(145\) 14.2585 + 4.80424i 1.18410 + 0.398970i
\(146\) −1.18115 4.25413i −0.0977530 0.352074i
\(147\) −0.305603 0.767006i −0.0252057 0.0632616i
\(148\) 1.30095 + 3.26514i 0.106938 + 0.268393i
\(149\) −0.153767 0.553820i −0.0125971 0.0453707i 0.956984 0.290140i \(-0.0937017\pi\)
−0.969581 + 0.244769i \(0.921288\pi\)
\(150\) 2.52907 + 0.852142i 0.206498 + 0.0695771i
\(151\) −0.283433 + 1.72887i −0.0230655 + 0.140693i −0.995849 0.0910239i \(-0.970986\pi\)
0.972783 + 0.231717i \(0.0744343\pi\)
\(152\) 0.0844933 + 0.515386i 0.00685331 + 0.0418034i
\(153\) 1.57458 0.530539i 0.127298 0.0428916i
\(154\) 5.43884 + 8.02168i 0.438274 + 0.646406i
\(155\) −9.56927 4.42721i −0.768622 0.355602i
\(156\) −1.22002 0.927431i −0.0976794 0.0742539i
\(157\) −2.12317 + 0.230908i −0.169447 + 0.0184285i −0.192449 0.981307i \(-0.561643\pi\)
0.0230021 + 0.999735i \(0.492678\pi\)
\(158\) 1.09831 3.95576i 0.0873770 0.314704i
\(159\) −1.69972 + 2.50690i −0.134797 + 0.198810i
\(160\) 1.30828 0.787167i 0.103429 0.0622310i
\(161\) −0.428163 7.89701i −0.0337440 0.622371i
\(162\) 0.725995 0.687699i 0.0570396 0.0540308i
\(163\) −1.62879 + 1.23818i −0.127577 + 0.0969814i −0.667017 0.745043i \(-0.732429\pi\)
0.539440 + 0.842024i \(0.318636\pi\)
\(164\) 2.20011 0.484281i 0.171800 0.0378160i
\(165\) −3.85530 4.53882i −0.300135 0.353346i
\(166\) 0.858811 15.8398i 0.0666567 1.22941i
\(167\) −6.75165 12.7350i −0.522458 0.985460i −0.994585 0.103930i \(-0.966858\pi\)
0.472127 0.881531i \(-0.343487\pi\)
\(168\) 2.42673 + 0.534164i 0.187226 + 0.0412116i
\(169\) −9.66698 + 4.47242i −0.743614 + 0.344032i
\(170\) −2.17379 1.30793i −0.166722 0.100313i
\(171\) 0.244634 0.461429i 0.0187076 0.0352863i
\(172\) −1.90153 + 2.23865i −0.144990 + 0.170695i
\(173\) −7.59928 7.19842i −0.577762 0.547285i 0.342031 0.939689i \(-0.388885\pi\)
−0.919793 + 0.392403i \(0.871644\pi\)
\(174\) 9.79665 + 1.06545i 0.742682 + 0.0807716i
\(175\) 2.45454 6.16044i 0.185546 0.465685i
\(176\) 3.90034 0.293999
\(177\) −7.68073 0.0799878i −0.577319 0.00601225i
\(178\) 2.90813 0.217974
\(179\) 0.881120 2.21144i 0.0658580 0.165291i −0.892364 0.451316i \(-0.850955\pi\)
0.958222 + 0.286025i \(0.0923340\pi\)
\(180\) −1.51789 0.165080i −0.113137 0.0123043i
\(181\) 7.55252 + 7.15413i 0.561375 + 0.531762i 0.914909 0.403659i \(-0.132262\pi\)
−0.353535 + 0.935421i \(0.615020\pi\)
\(182\) −2.46525 + 2.90231i −0.182736 + 0.215134i
\(183\) −5.54005 + 10.4496i −0.409533 + 0.772460i
\(184\) −2.72717 1.64088i −0.201050 0.120968i
\(185\) −4.87049 + 2.25333i −0.358086 + 0.165668i
\(186\) −6.74418 1.48451i −0.494507 0.108849i
\(187\) −3.03559 5.72574i −0.221985 0.418708i
\(188\) 0.697755 12.8693i 0.0508890 0.938593i
\(189\) −1.60864 1.89384i −0.117011 0.137757i
\(190\) −0.778773 + 0.171421i −0.0564981 + 0.0124362i
\(191\) 6.43669 4.89304i 0.465742 0.354048i −0.345833 0.938296i \(-0.612404\pi\)
0.811575 + 0.584248i \(0.198610\pi\)
\(192\) 0.725995 0.687699i 0.0523942 0.0496304i
\(193\) −1.44799 26.7067i −0.104229 1.92239i −0.322623 0.946527i \(-0.604565\pi\)
0.218395 0.975861i \(-0.429918\pi\)
\(194\) 3.77820 2.27327i 0.271259 0.163211i
\(195\) 1.31311 1.93669i 0.0940339 0.138690i
\(196\) −0.220884 + 0.795552i −0.0157774 + 0.0568251i
\(197\) −12.1078 + 1.31680i −0.862643 + 0.0938181i −0.528734 0.848787i \(-0.677333\pi\)
−0.333909 + 0.942605i \(0.608368\pi\)
\(198\) −3.10503 2.36039i −0.220665 0.167745i
\(199\) −4.83353 2.23623i −0.342640 0.158522i 0.241020 0.970520i \(-0.422518\pi\)
−0.583660 + 0.811998i \(0.698380\pi\)
\(200\) −1.49768 2.20891i −0.105902 0.156194i
\(201\) −3.14149 + 1.05849i −0.221584 + 0.0746603i
\(202\) 0.00702886 + 0.0428742i 0.000494549 + 0.00301662i
\(203\) 3.96148 24.1639i 0.278041 1.69598i
\(204\) −1.57458 0.530539i −0.110243 0.0371452i
\(205\) 0.920197 + 3.31425i 0.0642693 + 0.231477i
\(206\) −0.647599 1.62535i −0.0451204 0.113244i
\(207\) 1.17806 + 2.95671i 0.0818809 + 0.205506i
\(208\) 0.409988 + 1.47664i 0.0284276 + 0.102387i
\(209\) −1.93039 0.650423i −0.133528 0.0449907i
\(210\) −0.613788 + 3.74394i −0.0423554 + 0.258357i
\(211\) −3.09785 18.8960i −0.213265 1.30086i −0.848771 0.528761i \(-0.822657\pi\)
0.635506 0.772096i \(-0.280791\pi\)
\(212\) 2.87025 0.967098i 0.197129 0.0664206i
\(213\) 4.09090 + 6.03362i 0.280304 + 0.413417i
\(214\) −2.28867 1.05885i −0.156450 0.0723815i
\(215\) −3.57022 2.71401i −0.243487 0.185094i
\(216\) −0.994138 + 0.108119i −0.0676425 + 0.00735657i
\(217\) −4.59059 + 16.5338i −0.311630 + 1.12239i
\(218\) 4.48235 6.61097i 0.303583 0.447751i
\(219\) 3.78308 2.27620i 0.255637 0.153811i
\(220\) 0.322407 + 5.94645i 0.0217367 + 0.400910i
\(221\) 1.84864 1.75112i 0.124353 0.117793i
\(222\) −2.79809 + 2.12705i −0.187795 + 0.142758i
\(223\) −4.27904 + 0.941887i −0.286546 + 0.0630734i −0.355917 0.934517i \(-0.615832\pi\)
0.0693718 + 0.997591i \(0.477901\pi\)
\(224\) −1.60864 1.89384i −0.107482 0.126537i
\(225\) −0.144484 + 2.66486i −0.00963228 + 0.177657i
\(226\) 0.585299 + 1.10399i 0.0389335 + 0.0734364i
\(227\) −0.797820 0.175614i −0.0529532 0.0116559i 0.188415 0.982090i \(-0.439665\pi\)
−0.241368 + 0.970434i \(0.577596\pi\)
\(228\) −0.473996 + 0.219294i −0.0313912 + 0.0145231i
\(229\) 21.0207 + 12.6477i 1.38908 + 0.835784i 0.996473 0.0839199i \(-0.0267440\pi\)
0.392612 + 0.919704i \(0.371572\pi\)
\(230\) 2.27626 4.29348i 0.150092 0.283104i
\(231\) −6.27425 + 7.38662i −0.412815 + 0.486004i
\(232\) −7.15427 6.77688i −0.469701 0.444924i
\(233\) 7.44153 + 0.809315i 0.487511 + 0.0530200i 0.348574 0.937281i \(-0.386666\pi\)
0.138937 + 0.990301i \(0.455631\pi\)
\(234\) 0.567238 1.42366i 0.0370815 0.0930676i
\(235\) 19.6782 1.28367
\(236\) 6.06617 + 4.71186i 0.394874 + 0.306716i
\(237\) 4.10540 0.266675
\(238\) −1.52819 + 3.83546i −0.0990576 + 0.248616i
\(239\) 6.84578 + 0.744523i 0.442817 + 0.0481592i 0.326812 0.945089i \(-0.394026\pi\)
0.116005 + 0.993249i \(0.462991\pi\)
\(240\) 1.10848 + 1.05000i 0.0715519 + 0.0677775i
\(241\) −14.6696 + 17.2704i −0.944953 + 1.11249i 0.0485658 + 0.998820i \(0.484535\pi\)
−0.993519 + 0.113665i \(0.963741\pi\)
\(242\) −1.97325 + 3.72194i −0.126845 + 0.239255i
\(243\) 0.856857 + 0.515554i 0.0549674 + 0.0330728i
\(244\) 10.7343 4.96620i 0.687190 0.317928i
\(245\) −1.23115 0.270998i −0.0786556 0.0173134i
\(246\) 1.05522 + 1.99036i 0.0672784 + 0.126900i
\(247\) 0.0433314 0.799201i 0.00275711 0.0508520i
\(248\) 4.47061 + 5.26321i 0.283884 + 0.334214i
\(249\) 15.4922 3.41010i 0.981781 0.216106i
\(250\) 9.32142 7.08596i 0.589538 0.448155i
\(251\) 6.51879 6.17493i 0.411462 0.389758i −0.453778 0.891115i \(-0.649924\pi\)
0.865241 + 0.501357i \(0.167166\pi\)
\(252\) 0.134526 + 2.48118i 0.00847432 + 0.156300i
\(253\) 10.6369 6.40001i 0.668736 0.402365i
\(254\) −10.4353 + 15.3909i −0.654767 + 0.965710i
\(255\) 0.678702 2.44446i 0.0425019 0.153078i
\(256\) −0.994138 + 0.108119i −0.0621336 + 0.00675744i
\(257\) 3.04974 + 2.31835i 0.190237 + 0.144615i 0.695958 0.718083i \(-0.254980\pi\)
−0.505720 + 0.862698i \(0.668773\pi\)
\(258\) −2.66576 1.23331i −0.165963 0.0767827i
\(259\) 4.90118 + 7.22870i 0.304545 + 0.449170i
\(260\) −2.21740 + 0.747128i −0.137517 + 0.0463349i
\(261\) 1.59427 + 9.72460i 0.0986827 + 0.601938i
\(262\) −2.90502 + 17.7198i −0.179473 + 1.09474i
\(263\) 2.18151 + 0.735036i 0.134518 + 0.0453242i 0.385755 0.922601i \(-0.373941\pi\)
−0.251238 + 0.967925i \(0.580838\pi\)
\(264\) 1.04345 + 3.75817i 0.0642200 + 0.231300i
\(265\) 1.71169 + 4.29603i 0.105149 + 0.263903i
\(266\) 0.480343 + 1.20557i 0.0294517 + 0.0739183i
\(267\) 0.778007 + 2.80213i 0.0476133 + 0.171488i
\(268\) 3.14149 + 1.05849i 0.191897 + 0.0646577i
\(269\) 1.40957 8.59800i 0.0859431 0.524230i −0.908408 0.418085i \(-0.862701\pi\)
0.994351 0.106144i \(-0.0338505\pi\)
\(270\) −0.247015 1.50672i −0.0150328 0.0916962i
\(271\) −28.5622 + 9.62373i −1.73503 + 0.584600i −0.996023 0.0890970i \(-0.971602\pi\)
−0.739008 + 0.673697i \(0.764705\pi\)
\(272\) 0.932447 + 1.37526i 0.0565379 + 0.0833872i
\(273\) −3.45605 1.59894i −0.209170 0.0967722i
\(274\) −7.39627 5.62250i −0.446825 0.339667i
\(275\) 10.3481 1.12542i 0.624013 0.0678655i
\(276\) 0.851479 3.06675i 0.0512530 0.184597i
\(277\) −14.0728 + 20.7558i −0.845553 + 1.24710i 0.121517 + 0.992589i \(0.461224\pi\)
−0.967070 + 0.254509i \(0.918086\pi\)
\(278\) −15.8989 + 9.56604i −0.953552 + 0.573733i
\(279\) −0.373863 6.89550i −0.0223826 0.412823i
\(280\) 2.75437 2.60908i 0.164605 0.155922i
\(281\) 12.0336 9.14767i 0.717862 0.545704i −0.181243 0.983438i \(-0.558012\pi\)
0.899104 + 0.437734i \(0.144219\pi\)
\(282\) 12.5869 2.77059i 0.749540 0.164986i
\(283\) −0.246122 0.289758i −0.0146305 0.0172243i 0.754798 0.655957i \(-0.227735\pi\)
−0.769429 + 0.638733i \(0.779459\pi\)
\(284\) 0.394658 7.27903i 0.0234186 0.431931i
\(285\) −0.373516 0.704526i −0.0221252 0.0417325i
\(286\) −5.83754 1.28494i −0.345181 0.0759801i
\(287\) 5.08039 2.35044i 0.299886 0.138742i
\(288\) 0.856857 + 0.515554i 0.0504908 + 0.0303793i
\(289\) −6.66977 + 12.5805i −0.392339 + 0.740030i
\(290\) 9.74063 11.4676i 0.571990 0.673398i
\(291\) 3.20118 + 3.03232i 0.187657 + 0.177758i
\(292\) −4.38918 0.477352i −0.256857 0.0279349i
\(293\) 6.48417 16.2740i 0.378809 0.950739i −0.608732 0.793376i \(-0.708321\pi\)
0.987541 0.157363i \(-0.0502992\pi\)
\(294\) −0.825647 −0.0481527
\(295\) −6.68225 + 9.63795i −0.389056 + 0.561143i
\(296\) 3.51477 0.204292
\(297\) 1.44367 3.62333i 0.0837699 0.210247i
\(298\) −0.571401 0.0621436i −0.0331004 0.00359988i
\(299\) 3.54111 + 3.35432i 0.204788 + 0.193985i
\(300\) 1.72772 2.03403i 0.0997502 0.117435i
\(301\) −3.41868 + 6.44832i −0.197050 + 0.371675i
\(302\) 1.50117 + 0.903222i 0.0863824 + 0.0519746i
\(303\) −0.0394310 + 0.0182427i −0.00226525 + 0.00104802i
\(304\) 0.510056 + 0.112272i 0.0292537 + 0.00643923i
\(305\) 8.45876 + 15.9549i 0.484347 + 0.913575i
\(306\) 0.0899551 1.65913i 0.00514239 0.0948459i
\(307\) −19.2442 22.6560i −1.09832 1.29305i −0.952769 0.303698i \(-0.901779\pi\)
−0.145556 0.989350i \(-0.546497\pi\)
\(308\) 9.46508 2.08342i 0.539323 0.118714i
\(309\) 1.39286 1.05882i 0.0792368 0.0602343i
\(310\) −7.65473 + 7.25095i −0.434759 + 0.411826i
\(311\) 1.60814 + 29.6605i 0.0911895 + 1.68189i 0.584000 + 0.811754i \(0.301487\pi\)
−0.492810 + 0.870137i \(0.664030\pi\)
\(312\) −1.31314 + 0.790088i −0.0743417 + 0.0447299i
\(313\) −7.33362 + 10.8163i −0.414521 + 0.611372i −0.976432 0.215825i \(-0.930756\pi\)
0.561911 + 0.827198i \(0.310066\pi\)
\(314\) −0.571357 + 2.05784i −0.0322435 + 0.116131i
\(315\) −3.77168 + 0.410195i −0.212510 + 0.0231119i
\(316\) −3.26828 2.48449i −0.183855 0.139763i
\(317\) 6.81218 + 3.15165i 0.382610 + 0.177014i 0.601760 0.798677i \(-0.294466\pi\)
−0.219150 + 0.975691i \(0.570328\pi\)
\(318\) 1.69972 + 2.50690i 0.0953155 + 0.140580i
\(319\) 36.4236 12.2725i 2.03933 0.687131i
\(320\) −0.247015 1.50672i −0.0138085 0.0842284i
\(321\) 0.407971 2.48852i 0.0227707 0.138895i
\(322\) −7.49461 2.52523i −0.417658 0.140726i
\(323\) −0.232155 0.836148i −0.0129175 0.0465245i
\(324\) −0.370138 0.928977i −0.0205632 0.0516098i
\(325\) 1.51383 + 3.79942i 0.0839720 + 0.210754i
\(326\) 0.547358 + 1.97141i 0.0303154 + 0.109186i
\(327\) 7.56915 + 2.55034i 0.418575 + 0.141034i
\(328\) 0.364459 2.22310i 0.0201239 0.122750i
\(329\) −5.18107 31.6031i −0.285642 1.74234i
\(330\) −5.64345 + 1.90150i −0.310662 + 0.104674i
\(331\) 7.11836 + 10.4988i 0.391260 + 0.577066i 0.971399 0.237452i \(-0.0763121\pi\)
−0.580139 + 0.814517i \(0.697002\pi\)
\(332\) −14.3970 6.66075i −0.790136 0.365556i
\(333\) −2.79809 2.12705i −0.153334 0.116562i
\(334\) −14.3295 + 1.55843i −0.784076 + 0.0852735i
\(335\) −1.35409 + 4.87701i −0.0739821 + 0.266459i
\(336\) 1.39445 2.05666i 0.0760736 0.112200i
\(337\) −17.5226 + 10.5430i −0.954516 + 0.574313i −0.905437 0.424482i \(-0.860456\pi\)
−0.0490796 + 0.998795i \(0.515629\pi\)
\(338\) 0.576657 + 10.6358i 0.0313660 + 0.578512i
\(339\) −0.907167 + 0.859314i −0.0492705 + 0.0466715i
\(340\) −2.01964 + 1.53529i −0.109530 + 0.0832626i
\(341\) −26.3046 + 5.79008i −1.42447 + 0.313550i
\(342\) −0.338108 0.398052i −0.0182828 0.0215242i
\(343\) −1.05275 + 19.4168i −0.0568432 + 1.04841i
\(344\) 1.37583 + 2.59508i 0.0741795 + 0.139917i
\(345\) 4.74594 + 1.04466i 0.255513 + 0.0562427i
\(346\) −9.49994 + 4.39514i −0.510720 + 0.236284i
\(347\) −12.9044 7.76431i −0.692743 0.416810i 0.125182 0.992134i \(-0.460048\pi\)
−0.817926 + 0.575324i \(0.804876\pi\)
\(348\) 4.61589 8.70650i 0.247438 0.466717i
\(349\) 10.9845 12.9319i 0.587985 0.692230i −0.385047 0.922897i \(-0.625815\pi\)
0.973033 + 0.230667i \(0.0740908\pi\)
\(350\) −4.81438 4.56043i −0.257340 0.243765i
\(351\) 1.52352 + 0.165693i 0.0813195 + 0.00884402i
\(352\) 1.44367 3.62333i 0.0769476 0.193124i
\(353\) 29.7854 1.58532 0.792658 0.609667i \(-0.208697\pi\)
0.792658 + 0.609667i \(0.208697\pi\)
\(354\) −2.91724 + 7.10561i −0.155049 + 0.377659i
\(355\) 11.1302 0.590731
\(356\) 1.07641 2.70159i 0.0570496 0.143184i
\(357\) −4.10449 0.446390i −0.217232 0.0236255i
\(358\) −1.72824 1.63708i −0.0913406 0.0865224i
\(359\) −22.5856 + 26.5898i −1.19202 + 1.40335i −0.298454 + 0.954424i \(0.596471\pi\)
−0.893566 + 0.448931i \(0.851805\pi\)
\(360\) −0.715183 + 1.34898i −0.0376935 + 0.0710974i
\(361\) 16.0466 + 9.65490i 0.844556 + 0.508153i
\(362\) 9.44150 4.36810i 0.496234 0.229582i
\(363\) −4.11417 0.905597i −0.215938 0.0475315i
\(364\) 1.78370 + 3.36442i 0.0934913 + 0.176343i
\(365\) 0.364954 6.73119i 0.0191026 0.352327i
\(366\) 7.65690 + 9.01439i 0.400232 + 0.471190i
\(367\) 31.4858 6.93054i 1.64354 0.361771i 0.705613 0.708597i \(-0.250672\pi\)
0.937930 + 0.346826i \(0.112740\pi\)
\(368\) −2.53377 + 1.92613i −0.132082 + 0.100406i
\(369\) −1.63551 + 1.54923i −0.0851411 + 0.0806499i
\(370\) 0.290536 + 5.35862i 0.0151042 + 0.278581i
\(371\) 6.44872 3.88007i 0.334801 0.201443i
\(372\) −3.87535 + 5.71571i −0.200928 + 0.296346i
\(373\) 7.28571 26.2407i 0.377240 1.35869i −0.494693 0.869068i \(-0.664719\pi\)
0.871932 0.489626i \(-0.162867\pi\)
\(374\) −6.44267 + 0.700682i −0.333142 + 0.0362314i
\(375\) 9.32142 + 7.08596i 0.481356 + 0.365917i
\(376\) −11.6971 5.41163i −0.603229 0.279084i
\(377\) 8.47501 + 12.4997i 0.436485 + 0.643767i
\(378\) −2.35475 + 0.793408i −0.121115 + 0.0408085i
\(379\) 4.16170 + 25.3853i 0.213772 + 1.30395i 0.847665 + 0.530532i \(0.178008\pi\)
−0.633892 + 0.773421i \(0.718544\pi\)
\(380\) −0.129008 + 0.786911i −0.00661795 + 0.0403677i
\(381\) −17.6216 5.93741i −0.902783 0.304183i
\(382\) −2.16306 7.79064i −0.110672 0.398604i
\(383\) 9.36378 + 23.5013i 0.478467 + 1.20086i 0.948092 + 0.317995i \(0.103010\pi\)
−0.469626 + 0.882866i \(0.655611\pi\)
\(384\) −0.370138 0.928977i −0.0188885 0.0474066i
\(385\) 3.95877 + 14.2582i 0.201758 + 0.726666i
\(386\) −25.3458 8.54000i −1.29007 0.434675i
\(387\) 0.475192 2.89854i 0.0241553 0.147341i
\(388\) −0.713356 4.35128i −0.0362152 0.220903i
\(389\) −35.3051 + 11.8957i −1.79004 + 0.603135i −0.999951 0.00985795i \(-0.996862\pi\)
−0.790089 + 0.612993i \(0.789966\pi\)
\(390\) −1.31311 1.93669i −0.0664920 0.0980684i
\(391\) 4.79958 + 2.22052i 0.242725 + 0.112297i
\(392\) 0.657291 + 0.499660i 0.0331982 + 0.0252366i
\(393\) −17.8511 + 1.94143i −0.900470 + 0.0979320i
\(394\) −3.25827 + 11.7352i −0.164149 + 0.591212i
\(395\) 3.51768 5.18819i 0.176994 0.261046i
\(396\) −3.34204 + 2.01084i −0.167944 + 0.101048i
\(397\) −1.32166 24.3766i −0.0663323 1.22343i −0.822391 0.568923i \(-0.807360\pi\)
0.756059 0.654504i \(-0.227122\pi\)
\(398\) −3.86648 + 3.66253i −0.193809 + 0.183586i
\(399\) −1.03312 + 0.785359i −0.0517208 + 0.0393171i
\(400\) −2.60637 + 0.573706i −0.130319 + 0.0286853i
\(401\) −2.41491 2.84306i −0.120595 0.141975i 0.698551 0.715560i \(-0.253828\pi\)
−0.819146 + 0.573584i \(0.805552\pi\)
\(402\) −0.179472 + 3.31016i −0.00895124 + 0.165096i
\(403\) −4.95712 9.35012i −0.246932 0.465763i
\(404\) 0.0424308 + 0.00933972i 0.00211101 + 0.000464668i
\(405\) 1.38572 0.641102i 0.0688570 0.0318566i
\(406\) −20.9814 12.6241i −1.04129 0.626524i
\(407\) −6.42133 + 12.1119i −0.318293 + 0.600365i
\(408\) −1.07567 + 1.26638i −0.0532537 + 0.0626951i
\(409\) 14.1729 + 13.4253i 0.700804 + 0.663836i 0.952698 0.303918i \(-0.0982950\pi\)
−0.251895 + 0.967755i \(0.581054\pi\)
\(410\) 3.41946 + 0.371889i 0.168875 + 0.0183663i
\(411\) 3.43884 8.63085i 0.169626 0.425728i
\(412\) −1.74962 −0.0861973
\(413\) 17.2379 + 8.19408i 0.848220 + 0.403204i
\(414\) 3.18276 0.156424
\(415\) 8.96489 22.5002i 0.440069 1.10449i
\(416\) 1.52352 + 0.165693i 0.0746967 + 0.00812376i
\(417\) −13.4708 12.7602i −0.659666 0.624869i
\(418\) −1.31874 + 1.55254i −0.0645015 + 0.0759371i
\(419\) 6.66657 12.5745i 0.325683 0.614304i −0.665561 0.746343i \(-0.731808\pi\)
0.991244 + 0.132039i \(0.0421525\pi\)
\(420\) 3.25085 + 1.95597i 0.158625 + 0.0954416i
\(421\) −15.4054 + 7.12731i −0.750814 + 0.347364i −0.757692 0.652613i \(-0.773673\pi\)
0.00687751 + 0.999976i \(0.497811\pi\)
\(422\) −18.7006 4.11631i −0.910331 0.200379i
\(423\) 6.03696 + 11.3869i 0.293527 + 0.553651i
\(424\) 0.163976 3.02435i 0.00796336 0.146875i
\(425\) 2.87072 + 3.37967i 0.139250 + 0.163938i
\(426\) 7.11929 1.56708i 0.344931 0.0759250i
\(427\) 23.3964 17.7855i 1.13223 0.860699i
\(428\) −1.83077 + 1.73420i −0.0884936 + 0.0838255i
\(429\) −0.323604 5.96852i −0.0156237 0.288163i
\(430\) −3.84273 + 2.31209i −0.185313 + 0.111499i
\(431\) −12.8480 + 18.9493i −0.618864 + 0.912756i −0.999930 0.0117915i \(-0.996247\pi\)
0.381066 + 0.924548i \(0.375557\pi\)
\(432\) −0.267528 + 0.963550i −0.0128715 + 0.0463588i
\(433\) 14.8896 1.61934i 0.715548 0.0778205i 0.256899 0.966438i \(-0.417299\pi\)
0.458649 + 0.888618i \(0.348334\pi\)
\(434\) 13.6604 + 10.3844i 0.655719 + 0.498465i
\(435\) 13.6555 + 6.31769i 0.654729 + 0.302910i
\(436\) −4.48235 6.61097i −0.214665 0.316608i
\(437\) 1.57524 0.530759i 0.0753538 0.0253896i
\(438\) −0.714277 4.35690i −0.0341295 0.208181i
\(439\) −3.50059 + 21.3527i −0.167074 + 1.01911i 0.761555 + 0.648100i \(0.224436\pi\)
−0.928630 + 0.371008i \(0.879012\pi\)
\(440\) 5.64345 + 1.90150i 0.269041 + 0.0906504i
\(441\) −0.220884 0.795552i −0.0105183 0.0378834i
\(442\) −0.942501 2.36550i −0.0448302 0.112515i
\(443\) 10.2554 + 25.7392i 0.487250 + 1.22291i 0.942998 + 0.332797i \(0.107993\pi\)
−0.455748 + 0.890109i \(0.650628\pi\)
\(444\) 0.940302 + 3.38666i 0.0446248 + 0.160724i
\(445\) 4.20781 + 1.41778i 0.199469 + 0.0672090i
\(446\) −0.708844 + 4.32375i −0.0335647 + 0.204736i
\(447\) −0.0929875 0.567199i −0.00439816 0.0268276i
\(448\) −2.35475 + 0.793408i −0.111252 + 0.0374850i
\(449\) −11.8422 17.4659i −0.558868 0.824269i 0.438350 0.898804i \(-0.355563\pi\)
−0.997218 + 0.0745354i \(0.976253\pi\)
\(450\) 2.42211 + 1.12059i 0.114179 + 0.0528250i
\(451\) 6.99495 + 5.31742i 0.329379 + 0.250388i
\(452\) 1.24222 0.135100i 0.0584293 0.00635457i
\(453\) −0.468695 + 1.68809i −0.0220212 + 0.0793132i
\(454\) −0.458445 + 0.676155i −0.0215159 + 0.0317335i
\(455\) −4.98194 + 2.99753i −0.233557 + 0.140526i
\(456\) 0.0282749 + 0.521501i 0.00132410 + 0.0244215i
\(457\) 5.71759 5.41599i 0.267458 0.253349i −0.542203 0.840247i \(-0.682410\pi\)
0.809661 + 0.586898i \(0.199651\pi\)
\(458\) 19.5300 14.8463i 0.912576 0.693722i
\(459\) 1.62272 0.357187i 0.0757419 0.0166720i
\(460\) −3.14601 3.70377i −0.146684 0.172689i
\(461\) 1.29736 23.9285i 0.0604243 1.11446i −0.798379 0.602155i \(-0.794309\pi\)
0.858804 0.512305i \(-0.171208\pi\)
\(462\) 4.53966 + 8.56270i 0.211204 + 0.398373i
\(463\) −27.7079 6.09897i −1.28770 0.283443i −0.482208 0.876057i \(-0.660165\pi\)
−0.805487 + 0.592614i \(0.798096\pi\)
\(464\) −8.94363 + 4.13776i −0.415198 + 0.192091i
\(465\) −9.03451 5.43588i −0.418965 0.252083i
\(466\) 3.50623 6.61345i 0.162423 0.306362i
\(467\) −10.0975 + 11.8877i −0.467258 + 0.550099i −0.944431 0.328711i \(-0.893386\pi\)
0.477172 + 0.878810i \(0.341662\pi\)
\(468\) −1.11259 1.05390i −0.0514295 0.0487166i
\(469\) 8.18896 + 0.890603i 0.378131 + 0.0411242i
\(470\) 7.28367 18.2806i 0.335971 0.843223i
\(471\) −2.13569 −0.0984073
\(472\) 6.62253 3.89129i 0.304826 0.179111i
\(473\) −11.4562 −0.526757
\(474\) 1.51957 3.81383i 0.0697960 0.175175i
\(475\) 1.38564 + 0.150697i 0.0635774 + 0.00691446i
\(476\) 2.99741 + 2.83930i 0.137386 + 0.130139i
\(477\) −1.96080 + 2.30843i −0.0897788 + 0.105696i
\(478\) 3.22553 6.08399i 0.147532 0.278275i
\(479\) −14.8084 8.90992i −0.676613 0.407104i 0.135362 0.990796i \(-0.456780\pi\)
−0.811975 + 0.583692i \(0.801608\pi\)
\(480\) 1.38572 0.641102i 0.0632492 0.0292622i
\(481\) −5.26047 1.15792i −0.239857 0.0527965i
\(482\) 10.6140 + 20.0202i 0.483456 + 0.911894i
\(483\) 0.428163 7.89701i 0.0194821 0.359326i
\(484\) 2.72722 + 3.21073i 0.123964 + 0.145942i
\(485\) 6.57499 1.44726i 0.298555 0.0657169i
\(486\) 0.796093 0.605174i 0.0361115 0.0274513i
\(487\) 4.99319 4.72980i 0.226263 0.214328i −0.566167 0.824291i \(-0.691574\pi\)
0.792430 + 0.609963i \(0.208816\pi\)
\(488\) −0.640322 11.8101i −0.0289860 0.534616i
\(489\) −1.75311 + 1.05481i −0.0792785 + 0.0477003i
\(490\) −0.707448 + 1.04341i −0.0319592 + 0.0471363i
\(491\) −4.06484 + 14.6402i −0.183444 + 0.660705i 0.813428 + 0.581666i \(0.197599\pi\)
−0.996872 + 0.0790388i \(0.974815\pi\)
\(492\) 2.23957 0.243568i 0.100968 0.0109809i
\(493\) 13.0350 + 9.90896i 0.587067 + 0.446277i
\(494\) −0.726401 0.336069i −0.0326823 0.0151205i
\(495\) −3.34197 4.92904i −0.150210 0.221544i
\(496\) 6.54414 2.20498i 0.293841 0.0990065i
\(497\) −2.93047 17.8751i −0.131449 0.801806i
\(498\) 2.56637 15.6541i 0.115002 0.701479i
\(499\) −9.49887 3.20054i −0.425228 0.143276i 0.0985476 0.995132i \(-0.468580\pi\)
−0.523775 + 0.851856i \(0.675477\pi\)
\(500\) −3.13248 11.2822i −0.140089 0.504554i
\(501\) −5.33518 13.3903i −0.238358 0.598234i
\(502\) −3.32351 8.34138i −0.148335 0.372294i
\(503\) 7.08828 + 25.5297i 0.316051 + 1.13831i 0.935515 + 0.353287i \(0.114936\pi\)
−0.619464 + 0.785025i \(0.712650\pi\)
\(504\) 2.35475 + 0.793408i 0.104889 + 0.0353412i
\(505\) −0.0107319 + 0.0654619i −0.000477565 + 0.00291302i
\(506\) −2.00834 12.2503i −0.0892815 0.544593i
\(507\) −10.0939 + 3.40102i −0.448284 + 0.151045i
\(508\) 10.4353 + 15.3909i 0.462990 + 0.682860i
\(509\) −9.10883 4.21419i −0.403742 0.186791i 0.207499 0.978235i \(-0.433467\pi\)
−0.611241 + 0.791444i \(0.709330\pi\)
\(510\) −2.01964 1.53529i −0.0894310 0.0679836i
\(511\) −10.9063 + 1.18614i −0.482468 + 0.0524716i
\(512\) −0.267528 + 0.963550i −0.0118232 + 0.0425833i
\(513\) 0.293089 0.432274i 0.0129402 0.0190854i
\(514\) 3.28252 1.97503i 0.144786 0.0871146i
\(515\) −0.144625 2.66746i −0.00637296 0.117542i
\(516\) −2.13242 + 2.01993i −0.0938745 + 0.0889227i
\(517\) 40.0184 30.4212i 1.76001 1.33792i
\(518\) 8.52941 1.87747i 0.374761 0.0824911i
\(519\) −6.77644 7.97785i −0.297453 0.350189i
\(520\) −0.126679 + 2.33645i −0.00555523 + 0.102460i
\(521\) −7.88115 14.8654i −0.345280 0.651266i 0.648674 0.761066i \(-0.275324\pi\)
−0.993954 + 0.109800i \(0.964979\pi\)
\(522\) 9.62403 + 2.11841i 0.421232 + 0.0927203i
\(523\) 28.5324 13.2005i 1.24763 0.577217i 0.318838 0.947809i \(-0.396707\pi\)
0.928796 + 0.370592i \(0.120845\pi\)
\(524\) 15.3861 + 9.25749i 0.672143 + 0.404415i
\(525\) 3.10621 5.85894i 0.135566 0.255705i
\(526\) 1.49029 1.75451i 0.0649798 0.0765001i
\(527\) −8.33017 7.89075i −0.362868 0.343727i
\(528\) 3.87748 + 0.421701i 0.168746 + 0.0183522i
\(529\) 4.76369 11.9560i 0.207117 0.519824i
\(530\) 4.62447 0.200874
\(531\) −7.62706 0.909952i −0.330986 0.0394885i
\(532\) 1.29774 0.0562642
\(533\) −1.27786 + 3.20719i −0.0553503 + 0.138919i
\(534\) 2.89108 + 0.314424i 0.125109 + 0.0136065i
\(535\) −2.79529 2.64783i −0.120851 0.114476i
\(536\) 2.14610 2.52658i 0.0926974 0.109132i
\(537\) 1.11505 2.10322i 0.0481181 0.0907604i
\(538\) −7.46561 4.49191i −0.321865 0.193660i
\(539\) −2.92267 + 1.35217i −0.125888 + 0.0582421i
\(540\) −1.49114 0.328225i −0.0641685 0.0141245i
\(541\) −17.7680 33.5140i −0.763905 1.44088i −0.893383 0.449295i \(-0.851675\pi\)
0.129479 0.991582i \(-0.458670\pi\)
\(542\) −1.63174 + 30.0957i −0.0700894 + 1.29272i
\(543\) 6.73475 + 7.92876i 0.289016 + 0.340256i
\(544\) 1.62272 0.357187i 0.0695734 0.0153143i
\(545\) 9.70855 7.38025i 0.415868 0.316135i
\(546\) −2.76459 + 2.61876i −0.118314 + 0.112073i
\(547\) −1.94560 35.8845i −0.0831880 1.53431i −0.680766 0.732501i \(-0.738353\pi\)
0.597578 0.801811i \(-0.296130\pi\)
\(548\) −7.96081 + 4.78986i −0.340069 + 0.204613i
\(549\) −6.63738 + 9.78941i −0.283277 + 0.417802i
\(550\) 2.78473 10.0297i 0.118741 0.427668i
\(551\) 5.11646 0.556449i 0.217969 0.0237055i
\(552\) −2.53377 1.92613i −0.107845 0.0819813i
\(553\) −9.25837 4.28338i −0.393706 0.182148i
\(554\) 14.0728 + 20.7558i 0.597897 + 0.881831i
\(555\) −5.08557 + 1.71353i −0.215870 + 0.0727352i
\(556\) 3.00185 + 18.3105i 0.127307 + 0.776536i
\(557\) −1.04636 + 6.38251i −0.0443356 + 0.270435i −0.999686 0.0250383i \(-0.992029\pi\)
0.955351 + 0.295474i \(0.0954775\pi\)
\(558\) −6.54414 2.20498i −0.277036 0.0933442i
\(559\) −1.20423 4.33725i −0.0509335 0.183446i
\(560\) −1.40428 3.52447i −0.0593415 0.148936i
\(561\) −2.39874 6.02038i −0.101275 0.254181i
\(562\) −4.04390 14.5648i −0.170581 0.614379i
\(563\) 37.4703 + 12.6252i 1.57918 + 0.532089i 0.966153 0.257970i \(-0.0830537\pi\)
0.613031 + 0.790059i \(0.289950\pi\)
\(564\) 2.08509 12.7185i 0.0877979 0.535544i
\(565\) 0.308657 + 1.88272i 0.0129853 + 0.0792068i
\(566\) −0.360277 + 0.121392i −0.0151436 + 0.00510247i
\(567\) −1.39445 2.05666i −0.0585615 0.0863717i
\(568\) −6.61597 3.06088i −0.277600 0.128431i
\(569\) −35.3248 26.8532i −1.48089 1.12575i −0.962730 0.270465i \(-0.912823\pi\)
−0.518164 0.855281i \(-0.673384\pi\)
\(570\) −0.792741 + 0.0862158i −0.0332043 + 0.00361118i
\(571\) 10.4427 37.6114i 0.437015 1.57399i −0.337433 0.941350i \(-0.609559\pi\)
0.774448 0.632637i \(-0.218028\pi\)
\(572\) −3.35438 + 4.94733i −0.140253 + 0.206858i
\(573\) 6.92799 4.16843i 0.289421 0.174139i
\(574\) −0.303057 5.58955i −0.0126493 0.233303i
\(575\) −6.16665 + 5.84136i −0.257167 + 0.243601i
\(576\) 0.796093 0.605174i 0.0331705 0.0252156i
\(577\) −15.6473 + 3.44423i −0.651406 + 0.143385i −0.528366 0.849016i \(-0.677195\pi\)
−0.123040 + 0.992402i \(0.539264\pi\)
\(578\) 9.21827 + 10.8526i 0.383430 + 0.451408i
\(579\) 1.44799 26.7067i 0.0601766 1.10989i
\(580\) −7.04772 13.2934i −0.292641 0.551979i
\(581\) −38.4955 8.47350i −1.59706 0.351540i
\(582\) 4.00183 1.85145i 0.165881 0.0767449i
\(583\) 10.1223 + 6.09041i 0.419224 + 0.252239i
\(584\) −2.06805 + 3.90076i −0.0855766 + 0.161415i
\(585\) 1.51481 1.78337i 0.0626296 0.0737333i
\(586\) −12.7182 12.0473i −0.525382 0.497668i
\(587\) 37.6423 + 4.09385i 1.55366 + 0.168971i 0.844300 0.535871i \(-0.180017\pi\)
0.709364 + 0.704843i \(0.248982\pi\)
\(588\) −0.305603 + 0.767006i −0.0126029 + 0.0316308i
\(589\) −3.60658 −0.148607
\(590\) 6.48008 + 9.77503i 0.266781 + 0.402432i
\(591\) −12.1792 −0.500984
\(592\) 1.30095 3.26514i 0.0534688 0.134197i
\(593\) 22.9224 + 2.49296i 0.941310 + 0.102374i 0.565890 0.824481i \(-0.308533\pi\)
0.375421 + 0.926855i \(0.377498\pi\)
\(594\) −2.83163 2.68226i −0.116183 0.110055i
\(595\) −4.08102 + 4.80454i −0.167305 + 0.196967i
\(596\) −0.269227 + 0.507817i −0.0110280 + 0.0208010i
\(597\) −4.56342 2.74572i −0.186768 0.112375i
\(598\) 4.42678 2.04805i 0.181025 0.0837509i
\(599\) −3.75968 0.827569i −0.153617 0.0338136i 0.137496 0.990502i \(-0.456094\pi\)
−0.291113 + 0.956689i \(0.594026\pi\)
\(600\) −1.25007 2.35789i −0.0510341 0.0962604i
\(601\) −1.70816 + 31.5051i −0.0696772 + 1.28512i 0.729482 + 0.684000i \(0.239761\pi\)
−0.799159 + 0.601119i \(0.794722\pi\)
\(602\) 4.72496 + 5.56265i 0.192575 + 0.226717i
\(603\) −3.23752 + 0.712632i −0.131842 + 0.0290206i
\(604\) 1.39471 1.06023i 0.0567500 0.0431402i
\(605\) −4.66964 + 4.42331i −0.189848 + 0.179833i
\(606\) 0.00235215 + 0.0433828i 9.55495e−5 + 0.00176231i
\(607\) −5.09523 + 3.06570i −0.206809 + 0.124433i −0.615190 0.788379i \(-0.710921\pi\)
0.408382 + 0.912811i \(0.366093\pi\)
\(608\) 0.293089 0.432274i 0.0118863 0.0175310i
\(609\) 6.55083 23.5940i 0.265453 0.956076i
\(610\) 17.9526 1.95247i 0.726881 0.0790531i
\(611\) 15.7239 + 11.9530i 0.636119 + 0.483565i
\(612\) −1.50799 0.697672i −0.0609570 0.0282017i
\(613\) −15.5992 23.0071i −0.630046 0.929248i −1.00000 0.000198005i \(-0.999937\pi\)
0.369954 0.929050i \(-0.379373\pi\)
\(614\) −28.1699 + 9.49155i −1.13685 + 0.383048i
\(615\) 0.556469 + 3.39431i 0.0224390 + 0.136872i
\(616\) 1.56794 9.56399i 0.0631740 0.385344i
\(617\) −10.0127 3.37366i −0.403095 0.135818i 0.110449 0.993882i \(-0.464771\pi\)
−0.513544 + 0.858063i \(0.671668\pi\)
\(618\) −0.468072 1.68584i −0.0188286 0.0678145i
\(619\) 1.84318 + 4.62603i 0.0740835 + 0.185936i 0.961355 0.275312i \(-0.0887812\pi\)
−0.887271 + 0.461248i \(0.847402\pi\)
\(620\) 3.90265 + 9.79492i 0.156734 + 0.393373i
\(621\) 0.851479 + 3.06675i 0.0341687 + 0.123064i
\(622\) 28.1491 + 9.48454i 1.12868 + 0.380295i
\(623\) 1.16907 7.13100i 0.0468377 0.285698i
\(624\) 0.247931 + 1.51231i 0.00992520 + 0.0605410i
\(625\) 4.29649 1.44766i 0.171860 0.0579063i
\(626\) 7.33362 + 10.8163i 0.293110 + 0.432306i
\(627\) −1.84875 0.855321i −0.0738318 0.0341582i
\(628\) 1.70021 + 1.29246i 0.0678456 + 0.0515749i
\(629\) −5.80578 + 0.631417i −0.231492 + 0.0251762i
\(630\) −1.01498 + 3.65563i −0.0404378 + 0.145644i
\(631\) −24.7180 + 36.4563i −0.984007 + 1.45130i −0.0938824 + 0.995583i \(0.529928\pi\)
−0.890124 + 0.455718i \(0.849383\pi\)
\(632\) −3.51775 + 2.11656i −0.139928 + 0.0841921i
\(633\) −1.03667 19.1202i −0.0412038 0.759959i
\(634\) 5.44925 5.16181i 0.216417 0.205002i
\(635\) −22.6023 + 17.1818i −0.896945 + 0.681840i
\(636\) 2.95798 0.651101i 0.117292 0.0258178i
\(637\) −0.819142 0.964368i −0.0324556 0.0382097i
\(638\) 2.08086 38.3792i 0.0823821 1.51945i
\(639\) 3.41457 + 6.44056i 0.135078 + 0.254785i
\(640\) −1.49114 0.328225i −0.0589425 0.0129742i
\(641\) −35.9014 + 16.6098i −1.41802 + 0.656046i −0.971132 0.238544i \(-0.923330\pi\)
−0.446888 + 0.894590i \(0.647468\pi\)
\(642\) −2.16077 1.30009i −0.0852787 0.0513105i
\(643\) 5.51660 10.4054i 0.217553 0.410349i −0.750582 0.660778i \(-0.770227\pi\)
0.968135 + 0.250428i \(0.0805715\pi\)
\(644\) −5.11992 + 6.02764i −0.201753 + 0.237522i
\(645\) −3.25586 3.08411i −0.128199 0.121437i
\(646\) −0.862691 0.0938233i −0.0339421 0.00369143i
\(647\) 11.2064 28.1259i 0.440569 1.10574i −0.526261 0.850323i \(-0.676407\pi\)
0.966830 0.255421i \(-0.0822141\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 1.31034 + 29.9304i 0.0514354 + 1.17487i
\(650\) 4.08990 0.160419
\(651\) −6.35130 + 15.9406i −0.248927 + 0.624760i
\(652\) 2.03399 + 0.221210i 0.0796571 + 0.00866323i
\(653\) 4.35749 + 4.12763i 0.170522 + 0.161527i 0.768201 0.640208i \(-0.221152\pi\)
−0.597680 + 0.801735i \(0.703911\pi\)
\(654\) 5.17084 6.08759i 0.202196 0.238043i
\(655\) −12.8421 + 24.2228i −0.501783 + 0.946463i
\(656\) −1.93031 1.16143i −0.0753659 0.0453462i
\(657\) 4.00700 1.85384i 0.156328 0.0723250i
\(658\) −31.2763 6.88443i −1.21928 0.268383i
\(659\) −0.607338 1.14556i −0.0236585 0.0446247i 0.871401 0.490571i \(-0.163212\pi\)
−0.895060 + 0.445947i \(0.852867\pi\)
\(660\) −0.322407 + 5.94645i −0.0125497 + 0.231465i
\(661\) −0.274129 0.322729i −0.0106624 0.0125527i 0.756805 0.653641i \(-0.226759\pi\)
−0.767467 + 0.641088i \(0.778483\pi\)
\(662\) 12.3879 2.72679i 0.481470 0.105980i
\(663\) 2.02713 1.54098i 0.0787272 0.0598469i
\(664\) −11.5165 + 10.9091i −0.446929 + 0.423353i
\(665\) 0.107273 + 1.97853i 0.00415987 + 0.0767242i
\(666\) −3.01166 + 1.81206i −0.116699 + 0.0702157i
\(667\) −17.6012 + 25.9599i −0.681522 + 1.00517i
\(668\) −3.85616 + 13.8886i −0.149199 + 0.537367i
\(669\) −4.35579 + 0.473721i −0.168405 + 0.0183151i
\(670\) 4.02942 + 3.06309i 0.155670 + 0.118337i
\(671\) 41.8673 + 19.3699i 1.61627 + 0.747765i
\(672\) −1.39445 2.05666i −0.0537921 0.0793375i
\(673\) 40.8713 13.7712i 1.57547 0.530839i 0.610238 0.792219i \(-0.291074\pi\)
0.965236 + 0.261380i \(0.0841774\pi\)
\(674\) 3.30842 + 20.1804i 0.127435 + 0.777321i
\(675\) −0.431759 + 2.63361i −0.0166184 + 0.101368i
\(676\) 10.0939 + 3.40102i 0.388226 + 0.130808i
\(677\) 12.0932 + 43.5558i 0.464779 + 1.67398i 0.709750 + 0.704453i \(0.248808\pi\)
−0.244971 + 0.969530i \(0.578779\pi\)
\(678\) 0.462506 + 1.16080i 0.0177624 + 0.0445803i
\(679\) −4.05542 10.1783i −0.155633 0.390609i
\(680\) 0.678702 + 2.44446i 0.0260270 + 0.0937409i
\(681\) −0.774156 0.260844i −0.0296657 0.00999555i
\(682\) −4.35749 + 26.5795i −0.166857 + 1.01778i
\(683\) −6.58731 40.1808i −0.252057 1.53748i −0.744791 0.667297i \(-0.767451\pi\)
0.492735 0.870179i \(-0.335997\pi\)
\(684\) −0.494928 + 0.166761i −0.0189240 + 0.00637625i
\(685\) −7.96066 11.7411i −0.304161 0.448604i
\(686\) 17.6481 + 8.16489i 0.673809 + 0.311737i
\(687\) 19.5300 + 14.8463i 0.745115 + 0.566422i
\(688\) 2.92002 0.317571i 0.111325 0.0121073i
\(689\) −1.24177 + 4.47245i −0.0473076 + 0.170387i
\(690\) 2.72712 4.02220i 0.103820 0.153123i
\(691\) −36.2091 + 21.7863i −1.37746 + 0.828791i −0.995442 0.0953641i \(-0.969598\pi\)
−0.382018 + 0.924155i \(0.624771\pi\)
\(692\) 0.566693 + 10.4520i 0.0215424 + 0.397327i
\(693\) −7.03610 + 6.66495i −0.267279 + 0.253181i
\(694\) −11.9893 + 9.11400i −0.455106 + 0.345963i
\(695\) −27.6679 + 6.09017i −1.04950 + 0.231013i
\(696\) −6.37962 7.51067i −0.241819 0.284691i
\(697\) −0.202649 + 3.73764i −0.00767588 + 0.141573i
\(698\) −7.94768 14.9909i −0.300824 0.567415i
\(699\) 7.31041 + 1.60914i 0.276505 + 0.0608633i
\(700\) −6.01852 + 2.78446i −0.227479 + 0.105243i
\(701\) 28.9737 + 17.4329i 1.09432 + 0.658432i 0.943914 0.330192i \(-0.107113\pi\)
0.150409 + 0.988624i \(0.451941\pi\)
\(702\) 0.717837 1.35399i 0.0270930 0.0511029i
\(703\) −1.18837 + 1.39906i −0.0448204 + 0.0527666i
\(704\) −2.83163 2.68226i −0.106721 0.101092i
\(705\) 19.5629 + 2.12759i 0.736781 + 0.0801298i
\(706\) 11.0247 27.6699i 0.414920 1.04137i
\(707\) 0.107957 0.00406014
\(708\) 5.52117 + 5.34010i 0.207498 + 0.200693i
\(709\) −34.2540 −1.28643 −0.643217 0.765684i \(-0.722401\pi\)
−0.643217 + 0.765684i \(0.722401\pi\)
\(710\) 4.11972 10.3397i 0.154610 0.388043i
\(711\) 4.08134 + 0.443872i 0.153062 + 0.0166465i
\(712\) −2.11129 1.99992i −0.0791239 0.0749502i
\(713\) 14.2289 16.7515i 0.532876 0.627350i
\(714\) −1.93391 + 3.64775i −0.0723749 + 0.136514i
\(715\) −7.81997 4.70512i −0.292450 0.175961i
\(716\) −2.16050 + 0.999553i −0.0807416 + 0.0373551i
\(717\) 6.72515 + 1.48032i 0.251155 + 0.0552835i
\(718\) 16.3415 + 30.8234i 0.609860 + 1.15032i
\(719\) −0.989810 + 18.2560i −0.0369137 + 0.680833i 0.920258 + 0.391312i \(0.127979\pi\)
−0.957172 + 0.289521i \(0.906504\pi\)
\(720\) 0.988453 + 1.16370i 0.0368375 + 0.0433684i
\(721\) −4.24584 + 0.934581i −0.158124 + 0.0348056i
\(722\) 14.9086 11.3332i 0.554842 0.421780i
\(723\) −16.4509 + 15.5831i −0.611815 + 0.579542i
\(724\) −0.563207 10.3877i −0.0209314 0.386057i
\(725\) −22.5346 + 13.5586i −0.836915 + 0.503555i
\(726\) −2.36409 + 3.48677i −0.0877396 + 0.129406i
\(727\) −3.36506 + 12.1198i −0.124803 + 0.449500i −0.999373 0.0353990i \(-0.988730\pi\)
0.874570 + 0.484899i \(0.161144\pi\)
\(728\) 3.78568 0.411717i 0.140307 0.0152593i
\(729\) 0.796093 + 0.605174i 0.0294849 + 0.0224139i
\(730\) −6.11803 2.83050i −0.226439 0.104762i
\(731\) −2.73882 4.03945i −0.101299 0.149404i
\(732\) 11.2083 3.77651i 0.414270 0.139584i
\(733\) 6.01902 + 36.7144i 0.222317 + 1.35608i 0.828160 + 0.560492i \(0.189388\pi\)
−0.605843 + 0.795585i \(0.707164\pi\)
\(734\) 5.21577 31.8148i 0.192518 1.17431i
\(735\) −1.19464 0.402520i −0.0440649 0.0148472i
\(736\) 0.851479 + 3.06675i 0.0313859 + 0.113042i
\(737\) 4.78578 + 12.0114i 0.176287 + 0.442446i
\(738\) 0.833839 + 2.09278i 0.0306940 + 0.0770362i
\(739\) 0.989340 + 3.56328i 0.0363935 + 0.131077i 0.979515 0.201370i \(-0.0645394\pi\)
−0.943122 + 0.332447i \(0.892126\pi\)
\(740\) 5.08557 + 1.71353i 0.186949 + 0.0629905i
\(741\) 0.129486 0.789831i 0.00475680 0.0290152i
\(742\) −1.21757 7.42688i −0.0446986 0.272649i
\(743\) −31.6681 + 10.6702i −1.16179 + 0.391453i −0.833175 0.553010i \(-0.813479\pi\)
−0.328617 + 0.944463i \(0.606583\pi\)
\(744\) 3.87535 + 5.71571i 0.142077 + 0.209548i
\(745\) −0.796471 0.368487i −0.0291804 0.0135003i
\(746\) −21.6803 16.4810i −0.793773 0.603411i
\(747\) 15.7701 1.71510i 0.576998 0.0627524i
\(748\) −1.73376 + 6.24444i −0.0633925 + 0.228319i
\(749\) −3.51644 + 5.18636i −0.128488 + 0.189505i
\(750\) 10.0329 6.03660i 0.366350 0.220425i
\(751\) 2.11049 + 38.9257i 0.0770129 + 1.42042i 0.740412 + 0.672154i \(0.234631\pi\)
−0.663399 + 0.748266i \(0.730887\pi\)
\(752\) −9.35681 + 8.86324i −0.341208 + 0.323209i
\(753\) 7.14820 5.43392i 0.260495 0.198023i
\(754\) 14.7489 3.24647i 0.537122 0.118229i
\(755\) 1.73172 + 2.03873i 0.0630236 + 0.0741971i
\(756\) −0.134526 + 2.48118i −0.00489265 + 0.0902397i
\(757\) −19.6791 37.1187i −0.715249 1.34910i −0.928216 0.372043i \(-0.878657\pi\)
0.212967 0.977059i \(-0.431687\pi\)
\(758\) 25.1227 + 5.52993i 0.912499 + 0.200856i
\(759\) 11.2665 5.21244i 0.408948 0.189200i