Properties

Label 29.3.f.a.19.3
Level $29$
Weight $3$
Character 29.19
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 19.3
Character \(\chi\) \(=\) 29.19
Dual form 29.3.f.a.26.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.488049 + 0.776726i) q^{2} +(-1.66190 + 4.74943i) q^{3} +(1.37042 - 2.84571i) q^{4} +(-1.98497 - 0.453055i) q^{5} +(-4.50009 + 1.02712i) q^{6} +(9.56374 - 4.60566i) q^{7} +(6.52543 - 0.735239i) q^{8} +(-12.7587 - 10.1747i) q^{9} +O(q^{10})\) \(q+(0.488049 + 0.776726i) q^{2} +(-1.66190 + 4.74943i) q^{3} +(1.37042 - 2.84571i) q^{4} +(-1.98497 - 0.453055i) q^{5} +(-4.50009 + 1.02712i) q^{6} +(9.56374 - 4.60566i) q^{7} +(6.52543 - 0.735239i) q^{8} +(-12.7587 - 10.1747i) q^{9} +(-0.616861 - 1.76289i) q^{10} +(-11.6332 - 1.31075i) q^{11} +(11.2380 + 11.2380i) q^{12} +(-11.0274 + 8.79408i) q^{13} +(8.24491 + 5.18062i) q^{14} +(5.45056 - 8.67452i) q^{15} +(-4.12137 - 5.16804i) q^{16} +(0.154761 - 0.154761i) q^{17} +(1.67610 - 14.8758i) q^{18} +(20.3603 - 7.12436i) q^{19} +(-4.00951 + 5.02777i) q^{20} +(5.98028 + 53.0764i) q^{21} +(-4.65948 - 9.67551i) q^{22} +(1.51251 + 6.62676i) q^{23} +(-7.35262 + 32.2139i) q^{24} +(-18.7894 - 9.04850i) q^{25} +(-12.2125 - 4.27334i) q^{26} +(31.1828 - 19.5935i) q^{27} -33.5274i q^{28} +(-15.7913 + 24.3235i) q^{29} +9.39787 q^{30} +(-0.406230 - 0.646512i) q^{31} +(10.6781 - 30.5163i) q^{32} +(25.5584 - 53.0727i) q^{33} +(0.195737 + 0.0446758i) q^{34} +(-21.0703 + 4.80916i) q^{35} +(-46.4391 + 22.3639i) q^{36} +(-6.96097 + 0.784313i) q^{37} +(15.4705 + 12.3373i) q^{38} +(-23.4404 - 66.9888i) q^{39} +(-13.2858 - 1.49696i) q^{40} +(35.8917 + 35.8917i) q^{41} +(-38.3072 + 30.5490i) q^{42} +(18.2000 + 11.4358i) q^{43} +(-19.6724 + 31.3084i) q^{44} +(20.7158 + 25.9768i) q^{45} +(-4.40899 + 4.40899i) q^{46} +(-2.57409 + 22.8457i) q^{47} +(31.3945 - 10.9854i) q^{48} +(39.7021 - 49.7849i) q^{49} +(-2.14195 - 19.0103i) q^{50} +(0.477828 + 0.992221i) q^{51} +(9.91319 + 43.4325i) q^{52} +(12.7427 - 55.8292i) q^{53} +(30.4375 + 14.6579i) q^{54} +(22.4976 + 7.87226i) q^{55} +(59.0212 - 37.0855i) q^{56} +108.540i q^{57} +(-26.5997 - 0.394450i) q^{58} -48.4185 q^{59} +(-17.2156 - 27.3985i) q^{60} +(-24.4350 + 69.8312i) q^{61} +(0.303902 - 0.631059i) q^{62} +(-168.882 - 38.5462i) q^{63} +(3.13649 - 0.715883i) q^{64} +(25.8733 - 12.4599i) q^{65} +(53.6967 - 6.05016i) q^{66} +(33.7392 + 26.9061i) q^{67} +(-0.228317 - 0.652492i) q^{68} +(-33.9870 - 3.82941i) q^{69} +(-14.0188 - 14.0188i) q^{70} +(78.3788 - 62.5050i) q^{71} +(-90.7367 - 57.0137i) q^{72} +(5.59603 - 8.90604i) q^{73} +(-4.00650 - 5.02399i) q^{74} +(74.2012 - 74.2012i) q^{75} +(7.62828 - 67.7029i) q^{76} +(-117.294 + 41.0428i) q^{77} +(40.5919 - 50.9006i) q^{78} +(4.65001 + 41.2700i) q^{79} +(5.83937 + 12.1256i) q^{80} +(8.55329 + 37.4744i) q^{81} +(-10.3611 + 45.3949i) q^{82} +(85.5238 + 41.1861i) q^{83} +(159.236 + 55.7191i) q^{84} +(-0.377310 + 0.237079i) q^{85} +19.7176i q^{86} +(-89.2793 - 115.423i) q^{87} -76.8752 q^{88} +(-89.2455 - 142.033i) q^{89} +(-10.0665 + 28.7685i) q^{90} +(-64.9610 + 134.893i) q^{91} +(20.9306 + 4.77728i) q^{92} +(3.74568 - 0.854926i) q^{93} +(-19.0011 + 9.15045i) q^{94} +(-43.6421 + 4.91729i) q^{95} +(127.189 + 101.430i) q^{96} +(20.2947 + 57.9990i) q^{97} +(58.0458 + 6.54019i) q^{98} +(135.088 + 135.088i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{9}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.488049 + 0.776726i 0.244025 + 0.388363i 0.946170 0.323671i \(-0.104917\pi\)
−0.702145 + 0.712034i \(0.747774\pi\)
\(3\) −1.66190 + 4.74943i −0.553966 + 1.58314i 0.237148 + 0.971474i \(0.423787\pi\)
−0.791114 + 0.611669i \(0.790498\pi\)
\(4\) 1.37042 2.84571i 0.342606 0.711429i
\(5\) −1.98497 0.453055i −0.396993 0.0906111i 0.0193635 0.999813i \(-0.493836\pi\)
−0.416356 + 0.909201i \(0.636693\pi\)
\(6\) −4.50009 + 1.02712i −0.750015 + 0.171186i
\(7\) 9.56374 4.60566i 1.36625 0.657951i 0.400228 0.916415i \(-0.368931\pi\)
0.966021 + 0.258465i \(0.0832165\pi\)
\(8\) 6.52543 0.735239i 0.815678 0.0919049i
\(9\) −12.7587 10.1747i −1.41763 1.13052i
\(10\) −0.616861 1.76289i −0.0616861 0.176289i
\(11\) −11.6332 1.31075i −1.05756 0.119159i −0.433985 0.900920i \(-0.642893\pi\)
−0.623577 + 0.781762i \(0.714321\pi\)
\(12\) 11.2380 + 11.2380i 0.936501 + 0.936501i
\(13\) −11.0274 + 8.79408i −0.848264 + 0.676468i −0.947904 0.318556i \(-0.896802\pi\)
0.0996406 + 0.995023i \(0.468231\pi\)
\(14\) 8.24491 + 5.18062i 0.588922 + 0.370044i
\(15\) 5.45056 8.67452i 0.363371 0.578301i
\(16\) −4.12137 5.16804i −0.257586 0.323002i
\(17\) 0.154761 0.154761i 0.00910357 0.00910357i −0.702540 0.711644i \(-0.747951\pi\)
0.711644 + 0.702540i \(0.247951\pi\)
\(18\) 1.67610 14.8758i 0.0931165 0.826431i
\(19\) 20.3603 7.12436i 1.07159 0.374966i 0.263888 0.964553i \(-0.414995\pi\)
0.807705 + 0.589587i \(0.200710\pi\)
\(20\) −4.00951 + 5.02777i −0.200475 + 0.251388i
\(21\) 5.98028 + 53.0764i 0.284775 + 2.52745i
\(22\) −4.65948 9.67551i −0.211794 0.439796i
\(23\) 1.51251 + 6.62676i 0.0657615 + 0.288120i 0.997106 0.0760183i \(-0.0242207\pi\)
−0.931345 + 0.364138i \(0.881364\pi\)
\(24\) −7.35262 + 32.2139i −0.306359 + 1.34225i
\(25\) −18.7894 9.04850i −0.751576 0.361940i
\(26\) −12.2125 4.27334i −0.469712 0.164359i
\(27\) 31.1828 19.5935i 1.15492 0.725684i
\(28\) 33.5274i 1.19741i
\(29\) −15.7913 + 24.3235i −0.544528 + 0.838742i
\(30\) 9.39787 0.313262
\(31\) −0.406230 0.646512i −0.0131042 0.0208552i 0.840108 0.542419i \(-0.182492\pi\)
−0.853212 + 0.521564i \(0.825349\pi\)
\(32\) 10.6781 30.5163i 0.333691 0.953634i
\(33\) 25.5584 53.0727i 0.774498 1.60826i
\(34\) 0.195737 + 0.0446758i 0.00575698 + 0.00131399i
\(35\) −21.0703 + 4.80916i −0.602009 + 0.137405i
\(36\) −46.4391 + 22.3639i −1.28998 + 0.621220i
\(37\) −6.96097 + 0.784313i −0.188134 + 0.0211977i −0.205529 0.978651i \(-0.565891\pi\)
0.0173945 + 0.999849i \(0.494463\pi\)
\(38\) 15.4705 + 12.3373i 0.407118 + 0.324666i
\(39\) −23.4404 66.9888i −0.601036 1.71766i
\(40\) −13.2858 1.49696i −0.332146 0.0374239i
\(41\) 35.8917 + 35.8917i 0.875407 + 0.875407i 0.993055 0.117648i \(-0.0375355\pi\)
−0.117648 + 0.993055i \(0.537536\pi\)
\(42\) −38.3072 + 30.5490i −0.912076 + 0.727356i
\(43\) 18.2000 + 11.4358i 0.423256 + 0.265949i 0.726774 0.686876i \(-0.241019\pi\)
−0.303519 + 0.952825i \(0.598161\pi\)
\(44\) −19.6724 + 31.3084i −0.447100 + 0.711556i
\(45\) 20.7158 + 25.9768i 0.460352 + 0.577263i
\(46\) −4.40899 + 4.40899i −0.0958477 + 0.0958477i
\(47\) −2.57409 + 22.8457i −0.0547678 + 0.486078i 0.936149 + 0.351603i \(0.114363\pi\)
−0.990917 + 0.134475i \(0.957065\pi\)
\(48\) 31.3945 10.9854i 0.654053 0.228863i
\(49\) 39.7021 49.7849i 0.810247 1.01602i
\(50\) −2.14195 19.0103i −0.0428390 0.380206i
\(51\) 0.477828 + 0.992221i 0.00936919 + 0.0194553i
\(52\) 9.91319 + 43.4325i 0.190638 + 0.835241i
\(53\) 12.7427 55.8292i 0.240427 1.05338i −0.700202 0.713945i \(-0.746907\pi\)
0.940629 0.339436i \(-0.110236\pi\)
\(54\) 30.4375 + 14.6579i 0.563657 + 0.271443i
\(55\) 22.4976 + 7.87226i 0.409048 + 0.143132i
\(56\) 59.0212 37.0855i 1.05395 0.662241i
\(57\) 108.540i 1.90420i
\(58\) −26.5997 0.394450i −0.458615 0.00680085i
\(59\) −48.4185 −0.820652 −0.410326 0.911939i \(-0.634585\pi\)
−0.410326 + 0.911939i \(0.634585\pi\)
\(60\) −17.2156 27.3985i −0.286927 0.456642i
\(61\) −24.4350 + 69.8312i −0.400574 + 1.14477i 0.550239 + 0.835007i \(0.314537\pi\)
−0.950813 + 0.309766i \(0.899749\pi\)
\(62\) 0.303902 0.631059i 0.00490165 0.0101784i
\(63\) −168.882 38.5462i −2.68067 0.611845i
\(64\) 3.13649 0.715883i 0.0490076 0.0111857i
\(65\) 25.8733 12.4599i 0.398050 0.191691i
\(66\) 53.6967 6.05016i 0.813586 0.0916692i
\(67\) 33.7392 + 26.9061i 0.503570 + 0.401584i 0.842058 0.539387i \(-0.181344\pi\)
−0.338488 + 0.940971i \(0.609915\pi\)
\(68\) −0.228317 0.652492i −0.00335760 0.00959548i
\(69\) −33.9870 3.82941i −0.492565 0.0554987i
\(70\) −14.0188 14.0188i −0.200268 0.200268i
\(71\) 78.3788 62.5050i 1.10393 0.880352i 0.110393 0.993888i \(-0.464789\pi\)
0.993534 + 0.113536i \(0.0362177\pi\)
\(72\) −90.7367 57.0137i −1.26023 0.791856i
\(73\) 5.59603 8.90604i 0.0766580 0.122001i −0.806195 0.591650i \(-0.798477\pi\)
0.882853 + 0.469649i \(0.155620\pi\)
\(74\) −4.00650 5.02399i −0.0541418 0.0678917i
\(75\) 74.2012 74.2012i 0.989350 0.989350i
\(76\) 7.62828 67.7029i 0.100372 0.890827i
\(77\) −117.294 + 41.0428i −1.52329 + 0.533024i
\(78\) 40.5919 50.9006i 0.520409 0.652572i
\(79\) 4.65001 + 41.2700i 0.0588609 + 0.522405i 0.988199 + 0.153175i \(0.0489499\pi\)
−0.929338 + 0.369230i \(0.879622\pi\)
\(80\) 5.83937 + 12.1256i 0.0729922 + 0.151570i
\(81\) 8.55329 + 37.4744i 0.105596 + 0.462647i
\(82\) −10.3611 + 45.3949i −0.126355 + 0.553597i
\(83\) 85.5238 + 41.1861i 1.03041 + 0.496218i 0.871149 0.491019i \(-0.163375\pi\)
0.159259 + 0.987237i \(0.449090\pi\)
\(84\) 159.236 + 55.7191i 1.89567 + 0.663322i
\(85\) −0.377310 + 0.237079i −0.00443894 + 0.00278917i
\(86\) 19.7176i 0.229275i
\(87\) −89.2793 115.423i −1.02620 1.32670i
\(88\) −76.8752 −0.873582
\(89\) −89.2455 142.033i −1.00276 1.59588i −0.784633 0.619961i \(-0.787148\pi\)
−0.218126 0.975921i \(-0.569994\pi\)
\(90\) −10.0665 + 28.7685i −0.111850 + 0.319650i
\(91\) −64.9610 + 134.893i −0.713857 + 1.48234i
\(92\) 20.9306 + 4.77728i 0.227507 + 0.0519270i
\(93\) 3.74568 0.854926i 0.0402761 0.00919275i
\(94\) −19.0011 + 9.15045i −0.202139 + 0.0973452i
\(95\) −43.6421 + 4.91729i −0.459391 + 0.0517609i
\(96\) 127.189 + 101.430i 1.32489 + 1.05656i
\(97\) 20.2947 + 57.9990i 0.209224 + 0.597928i 0.999898 0.0143099i \(-0.00455513\pi\)
−0.790673 + 0.612238i \(0.790269\pi\)
\(98\) 58.0458 + 6.54019i 0.592304 + 0.0667367i
\(99\) 135.088 + 135.088i 1.36452 + 1.36452i
\(100\) −51.4989 + 41.0690i −0.514989 + 0.410690i
\(101\) −119.742 75.2390i −1.18557 0.744941i −0.212883 0.977078i \(-0.568285\pi\)
−0.972683 + 0.232137i \(0.925428\pi\)
\(102\) −0.537480 + 0.855395i −0.00526941 + 0.00838622i
\(103\) 61.1848 + 76.7234i 0.594028 + 0.744887i 0.984434 0.175756i \(-0.0562368\pi\)
−0.390406 + 0.920643i \(0.627665\pi\)
\(104\) −65.4929 + 65.4929i −0.629739 + 0.629739i
\(105\) 12.1759 108.064i 0.115961 1.02918i
\(106\) 49.5831 17.3499i 0.467765 0.163678i
\(107\) 91.2780 114.459i 0.853066 1.06971i −0.143722 0.989618i \(-0.545907\pi\)
0.996787 0.0800922i \(-0.0255215\pi\)
\(108\) −13.0237 115.589i −0.120590 1.07027i
\(109\) −8.55158 17.7575i −0.0784549 0.162913i 0.858052 0.513563i \(-0.171675\pi\)
−0.936507 + 0.350650i \(0.885961\pi\)
\(110\) 4.86536 + 21.3165i 0.0442306 + 0.193787i
\(111\) 7.84338 34.3641i 0.0706611 0.309586i
\(112\) −63.2180 30.4442i −0.564446 0.271823i
\(113\) −36.2240 12.6753i −0.320566 0.112171i 0.165199 0.986260i \(-0.447173\pi\)
−0.485765 + 0.874089i \(0.661459\pi\)
\(114\) −84.3055 + 52.9726i −0.739522 + 0.464672i
\(115\) 13.8391i 0.120340i
\(116\) 47.5770 + 78.2711i 0.410147 + 0.674751i
\(117\) 230.173 1.96729
\(118\) −23.6306 37.6079i −0.200259 0.318711i
\(119\) 0.767317 2.19287i 0.00644804 0.0184274i
\(120\) 29.1894 60.6124i 0.243245 0.505103i
\(121\) 15.6466 + 3.57125i 0.129311 + 0.0295144i
\(122\) −66.1652 + 15.1018i −0.542337 + 0.123785i
\(123\) −230.113 + 110.817i −1.87084 + 0.900949i
\(124\) −2.39650 + 0.270020i −0.0193266 + 0.00217758i
\(125\) 72.9923 + 58.2094i 0.583938 + 0.465675i
\(126\) −52.4829 149.988i −0.416531 1.19038i
\(127\) 53.9964 + 6.08394i 0.425169 + 0.0479050i 0.321957 0.946754i \(-0.395659\pi\)
0.103212 + 0.994659i \(0.467088\pi\)
\(128\) −89.3579 89.3579i −0.698108 0.698108i
\(129\) −84.5601 + 67.4344i −0.655504 + 0.522747i
\(130\) 22.3054 + 14.0154i 0.171580 + 0.107811i
\(131\) −37.0804 + 59.0132i −0.283057 + 0.450482i −0.957744 0.287621i \(-0.907136\pi\)
0.674687 + 0.738104i \(0.264278\pi\)
\(132\) −116.004 145.464i −0.878816 1.10200i
\(133\) 161.908 161.908i 1.21735 1.21735i
\(134\) −4.43229 + 39.3376i −0.0330768 + 0.293565i
\(135\) −70.7737 + 24.7648i −0.524250 + 0.183443i
\(136\) 0.896093 1.12367i 0.00658892 0.00826224i
\(137\) 10.8849 + 96.6061i 0.0794518 + 0.705154i 0.968786 + 0.247897i \(0.0797395\pi\)
−0.889335 + 0.457257i \(0.848832\pi\)
\(138\) −13.6129 28.2675i −0.0986443 0.204837i
\(139\) −43.7002 191.463i −0.314390 1.37743i −0.847235 0.531219i \(-0.821734\pi\)
0.532845 0.846213i \(-0.321123\pi\)
\(140\) −15.1898 + 66.5507i −0.108498 + 0.475362i
\(141\) −104.226 50.1926i −0.739191 0.355976i
\(142\) 86.8020 + 30.3733i 0.611282 + 0.213897i
\(143\) 139.811 87.8490i 0.977698 0.614329i
\(144\) 107.871i 0.749105i
\(145\) 42.3651 41.1270i 0.292173 0.283635i
\(146\) 9.64869 0.0660869
\(147\) 170.469 + 271.300i 1.15965 + 1.84558i
\(148\) −7.30755 + 20.8838i −0.0493754 + 0.141107i
\(149\) 14.9818 31.1100i 0.100549 0.208792i −0.844626 0.535357i \(-0.820177\pi\)
0.945175 + 0.326565i \(0.105891\pi\)
\(150\) 93.8479 + 21.4202i 0.625652 + 0.142801i
\(151\) −84.5495 + 19.2979i −0.559931 + 0.127801i −0.493114 0.869965i \(-0.664141\pi\)
−0.0668168 + 0.997765i \(0.521284\pi\)
\(152\) 127.621 61.4591i 0.839613 0.404336i
\(153\) −3.54919 + 0.399897i −0.0231973 + 0.00261371i
\(154\) −89.1241 71.0741i −0.578728 0.461520i
\(155\) 0.513447 + 1.46735i 0.00331256 + 0.00946676i
\(156\) −222.754 25.0984i −1.42791 0.160887i
\(157\) −31.5274 31.5274i −0.200812 0.200812i 0.599536 0.800348i \(-0.295352\pi\)
−0.800348 + 0.599536i \(0.795352\pi\)
\(158\) −29.7860 + 23.7536i −0.188519 + 0.150339i
\(159\) 243.980 + 153.303i 1.53446 + 0.964168i
\(160\) −35.0212 + 55.7360i −0.218883 + 0.348350i
\(161\) 44.9859 + 56.4105i 0.279415 + 0.350376i
\(162\) −24.9329 + 24.9329i −0.153907 + 0.153907i
\(163\) −10.5971 + 94.0522i −0.0650131 + 0.577008i 0.918403 + 0.395646i \(0.129479\pi\)
−0.983416 + 0.181362i \(0.941949\pi\)
\(164\) 151.324 52.9507i 0.922709 0.322870i
\(165\) −74.7775 + 93.7680i −0.453197 + 0.568291i
\(166\) 9.74953 + 86.5295i 0.0587321 + 0.521262i
\(167\) 9.33539 + 19.3851i 0.0559006 + 0.116079i 0.927048 0.374943i \(-0.122338\pi\)
−0.871147 + 0.491022i \(0.836624\pi\)
\(168\) 78.0477 + 341.949i 0.464570 + 2.03541i
\(169\) 6.66226 29.1893i 0.0394217 0.172718i
\(170\) −0.368291 0.177360i −0.00216642 0.00104329i
\(171\) −332.258 116.262i −1.94303 0.679896i
\(172\) 57.4848 36.1201i 0.334214 0.210000i
\(173\) 76.1743i 0.440314i 0.975464 + 0.220157i \(0.0706569\pi\)
−0.975464 + 0.220157i \(0.929343\pi\)
\(174\) 46.0793 125.678i 0.264824 0.722285i
\(175\) −221.371 −1.26498
\(176\) 41.1707 + 65.5228i 0.233924 + 0.372289i
\(177\) 80.4665 229.960i 0.454613 1.29921i
\(178\) 66.7649 138.639i 0.375083 0.778869i
\(179\) 107.104 + 24.4459i 0.598349 + 0.136569i 0.510959 0.859605i \(-0.329290\pi\)
0.0873895 + 0.996174i \(0.472148\pi\)
\(180\) 102.312 23.3521i 0.568401 0.129734i
\(181\) 267.619 128.879i 1.47856 0.712036i 0.491275 0.871005i \(-0.336531\pi\)
0.987284 + 0.158968i \(0.0508167\pi\)
\(182\) −136.479 + 15.3775i −0.749884 + 0.0844917i
\(183\) −291.050 232.104i −1.59044 1.26833i
\(184\) 14.7420 + 42.1304i 0.0801198 + 0.228969i
\(185\) 14.1726 + 1.59687i 0.0766088 + 0.00863174i
\(186\) 2.49212 + 2.49212i 0.0133985 + 0.0133985i
\(187\) −2.00321 + 1.59751i −0.0107124 + 0.00854282i
\(188\) 61.4846 + 38.6333i 0.327046 + 0.205497i
\(189\) 207.984 331.004i 1.10044 1.75134i
\(190\) −25.1189 31.4981i −0.132205 0.165779i
\(191\) −131.587 + 131.587i −0.688937 + 0.688937i −0.961997 0.273060i \(-0.911964\pi\)
0.273060 + 0.961997i \(0.411964\pi\)
\(192\) −1.81248 + 16.0862i −0.00944002 + 0.0837825i
\(193\) 10.5516 3.69218i 0.0546717 0.0191304i −0.302805 0.953053i \(-0.597923\pi\)
0.357476 + 0.933922i \(0.383637\pi\)
\(194\) −35.1445 + 44.0698i −0.181157 + 0.227164i
\(195\) 16.1787 + 143.590i 0.0829679 + 0.736360i
\(196\) −87.2648 181.207i −0.445229 0.924527i
\(197\) −43.6695 191.329i −0.221673 0.971211i −0.956219 0.292652i \(-0.905462\pi\)
0.734546 0.678559i \(-0.237395\pi\)
\(198\) −38.9967 + 170.856i −0.196953 + 0.862907i
\(199\) −191.282 92.1164i −0.961214 0.462896i −0.113610 0.993525i \(-0.536241\pi\)
−0.847604 + 0.530629i \(0.821956\pi\)
\(200\) −129.262 45.2306i −0.646308 0.226153i
\(201\) −183.860 + 115.527i −0.914726 + 0.574760i
\(202\) 129.727i 0.642214i
\(203\) −38.9983 + 305.353i −0.192110 + 1.50420i
\(204\) 3.47840 0.0170510
\(205\) −54.9828 87.5047i −0.268209 0.426852i
\(206\) −29.7318 + 84.9687i −0.144329 + 0.412469i
\(207\) 48.1277 99.9381i 0.232501 0.482793i
\(208\) 90.8963 + 20.7465i 0.437001 + 0.0997427i
\(209\) −246.193 + 56.1919i −1.17796 + 0.268861i
\(210\) 89.8788 43.2833i 0.427994 0.206111i
\(211\) 347.213 39.1215i 1.64556 0.185410i 0.759996 0.649927i \(-0.225201\pi\)
0.885564 + 0.464517i \(0.153772\pi\)
\(212\) −141.411 112.772i −0.667034 0.531942i
\(213\) 166.606 + 476.131i 0.782186 + 2.23536i
\(214\) 133.451 + 15.0364i 0.623605 + 0.0702634i
\(215\) −30.9453 30.9453i −0.143932 0.143932i
\(216\) 189.075 150.782i 0.875348 0.698067i
\(217\) −6.86269 4.31212i −0.0316253 0.0198715i
\(218\) 9.61915 15.3088i 0.0441246 0.0702238i
\(219\) 32.9986 + 41.3789i 0.150678 + 0.188945i
\(220\) 53.2335 53.2335i 0.241970 0.241970i
\(221\) −0.345634 + 3.06759i −0.00156396 + 0.0138805i
\(222\) 30.5194 10.6792i 0.137475 0.0481046i
\(223\) −223.712 + 280.525i −1.00319 + 1.25796i −0.0372207 + 0.999307i \(0.511850\pi\)
−0.965970 + 0.258654i \(0.916721\pi\)
\(224\) −38.4248 341.030i −0.171539 1.52245i
\(225\) 147.662 + 306.624i 0.656276 + 1.36277i
\(226\) −7.83384 34.3223i −0.0346630 0.151869i
\(227\) 22.9453 100.530i 0.101080 0.442862i −0.898908 0.438137i \(-0.855639\pi\)
0.999989 0.00472574i \(-0.00150425\pi\)
\(228\) 308.873 + 148.745i 1.35470 + 0.652391i
\(229\) −143.168 50.0967i −0.625189 0.218763i −0.000953694 1.00000i \(-0.500304\pi\)
−0.624235 + 0.781237i \(0.714589\pi\)
\(230\) 10.7492 6.75418i 0.0467357 0.0293660i
\(231\) 625.287i 2.70687i
\(232\) −85.1615 + 170.332i −0.367075 + 0.734189i
\(233\) 317.385 1.36217 0.681083 0.732206i \(-0.261509\pi\)
0.681083 + 0.732206i \(0.261509\pi\)
\(234\) 112.336 + 178.781i 0.480067 + 0.764022i
\(235\) 15.4598 44.1816i 0.0657865 0.188007i
\(236\) −66.3538 + 137.785i −0.281160 + 0.583835i
\(237\) −203.737 46.5016i −0.859649 0.196209i
\(238\) 2.07774 0.474232i 0.00873002 0.00199257i
\(239\) 26.5371 12.7796i 0.111034 0.0534711i −0.377542 0.925992i \(-0.623231\pi\)
0.488576 + 0.872521i \(0.337516\pi\)
\(240\) −67.2940 + 7.58222i −0.280392 + 0.0315926i
\(241\) 114.945 + 91.6659i 0.476952 + 0.380356i 0.832253 0.554395i \(-0.187050\pi\)
−0.355302 + 0.934752i \(0.615622\pi\)
\(242\) 4.86246 + 13.8961i 0.0200928 + 0.0574219i
\(243\) 137.167 + 15.4551i 0.564475 + 0.0636011i
\(244\) 165.233 + 165.233i 0.677186 + 0.677186i
\(245\) −101.363 + 80.8340i −0.413725 + 0.329935i
\(246\) −198.381 124.651i −0.806426 0.506711i
\(247\) −161.869 + 257.613i −0.655340 + 1.04297i
\(248\) −3.12617 3.92009i −0.0126055 0.0158068i
\(249\) −337.742 + 337.742i −1.35639 + 1.35639i
\(250\) −9.58893 + 85.1041i −0.0383557 + 0.340416i
\(251\) 77.7163 27.1941i 0.309627 0.108343i −0.170993 0.985272i \(-0.554698\pi\)
0.480620 + 0.876929i \(0.340412\pi\)
\(252\) −341.132 + 427.765i −1.35370 + 1.69748i
\(253\) −8.90937 79.0728i −0.0352149 0.312541i
\(254\) 21.6274 + 44.9097i 0.0851471 + 0.176810i
\(255\) −0.498942 2.18601i −0.00195663 0.00857258i
\(256\) 28.6591 125.564i 0.111949 0.490483i
\(257\) −137.519 66.2259i −0.535095 0.257688i 0.146764 0.989171i \(-0.453114\pi\)
−0.681859 + 0.731483i \(0.738828\pi\)
\(258\) −93.6476 32.7687i −0.362975 0.127010i
\(259\) −62.9607 + 39.5608i −0.243091 + 0.152745i
\(260\) 90.7033i 0.348859i
\(261\) 448.962 149.664i 1.72016 0.573426i
\(262\) −63.9342 −0.244024
\(263\) −163.041 259.478i −0.619928 0.986609i −0.998144 0.0608922i \(-0.980605\pi\)
0.378217 0.925717i \(-0.376537\pi\)
\(264\) 127.759 365.113i 0.483934 1.38300i
\(265\) −50.5875 + 105.046i −0.190896 + 0.396400i
\(266\) 204.777 + 46.7390i 0.769839 + 0.175711i
\(267\) 822.895 187.820i 3.08200 0.703447i
\(268\) 122.804 59.1394i 0.458225 0.220669i
\(269\) −289.980 + 32.6729i −1.07799 + 0.121461i −0.633060 0.774103i \(-0.718201\pi\)
−0.444934 + 0.895563i \(0.646773\pi\)
\(270\) −53.7765 42.8853i −0.199172 0.158835i
\(271\) −51.9021 148.328i −0.191521 0.547335i 0.807579 0.589759i \(-0.200777\pi\)
−0.999100 + 0.0424247i \(0.986492\pi\)
\(272\) −1.43764 0.161983i −0.00528542 0.000595524i
\(273\) −532.705 532.705i −1.95130 1.95130i
\(274\) −69.7241 + 55.6031i −0.254468 + 0.202931i
\(275\) 206.720 + 129.891i 0.751710 + 0.472331i
\(276\) −57.4739 + 91.4693i −0.208239 + 0.331410i
\(277\) −83.4157 104.600i −0.301140 0.377617i 0.608121 0.793844i \(-0.291924\pi\)
−0.909261 + 0.416227i \(0.863352\pi\)
\(278\) 127.386 127.386i 0.458225 0.458225i
\(279\) −1.39511 + 12.3819i −0.00500039 + 0.0443796i
\(280\) −133.957 + 46.8735i −0.478417 + 0.167405i
\(281\) 233.501 292.801i 0.830965 1.04200i −0.167459 0.985879i \(-0.553556\pi\)
0.998424 0.0561179i \(-0.0178723\pi\)
\(282\) −11.8815 105.451i −0.0421331 0.373941i
\(283\) 61.5039 + 127.714i 0.217328 + 0.451287i 0.980920 0.194413i \(-0.0622801\pi\)
−0.763591 + 0.645700i \(0.776566\pi\)
\(284\) −70.4592 308.702i −0.248096 1.08698i
\(285\) 49.1744 215.447i 0.172542 0.755955i
\(286\) 136.469 + 65.7201i 0.477165 + 0.229791i
\(287\) 508.564 + 177.954i 1.77200 + 0.620049i
\(288\) −446.733 + 280.701i −1.55116 + 0.974656i
\(289\) 288.952i 0.999834i
\(290\) 52.6207 + 12.8341i 0.181451 + 0.0442555i
\(291\) −309.190 −1.06251
\(292\) −17.6751 28.1298i −0.0605312 0.0963348i
\(293\) −129.389 + 369.772i −0.441600 + 1.26202i 0.481156 + 0.876635i \(0.340217\pi\)
−0.922756 + 0.385385i \(0.874069\pi\)
\(294\) −127.528 + 264.815i −0.433770 + 0.900732i
\(295\) 96.1090 + 21.9362i 0.325793 + 0.0743601i
\(296\) −44.8467 + 10.2360i −0.151509 + 0.0345809i
\(297\) −388.437 + 187.062i −1.30787 + 0.629837i
\(298\) 31.4757 3.54647i 0.105623 0.0119009i
\(299\) −74.9554 59.7749i −0.250687 0.199916i
\(300\) −109.468 312.843i −0.364895 1.04281i
\(301\) 226.729 + 25.5463i 0.753254 + 0.0848713i
\(302\) −56.2535 56.2535i −0.186270 0.186270i
\(303\) 556.342 443.668i 1.83611 1.46425i
\(304\) −120.731 75.8604i −0.397142 0.249541i
\(305\) 80.1400 127.542i 0.262754 0.418171i
\(306\) −2.04279 2.56158i −0.00667578 0.00837117i
\(307\) −364.784 + 364.784i −1.18822 + 1.18822i −0.210663 + 0.977559i \(0.567562\pi\)
−0.977559 + 0.210663i \(0.932438\pi\)
\(308\) −43.9459 + 390.030i −0.142681 + 1.26633i
\(309\) −466.075 + 163.087i −1.50833 + 0.527789i
\(310\) −0.889140 + 1.11495i −0.00286819 + 0.00359660i
\(311\) 1.60736 + 14.2657i 0.00516836 + 0.0458705i 0.996032 0.0889994i \(-0.0283669\pi\)
−0.990863 + 0.134870i \(0.956938\pi\)
\(312\) −202.211 419.896i −0.648113 1.34582i
\(313\) 3.75343 + 16.4449i 0.0119918 + 0.0525395i 0.980570 0.196170i \(-0.0628506\pi\)
−0.968578 + 0.248710i \(0.919993\pi\)
\(314\) 9.10123 39.8751i 0.0289848 0.126991i
\(315\) 317.761 + 153.026i 1.00877 + 0.485796i
\(316\) 123.815 + 43.3248i 0.391820 + 0.137104i
\(317\) 45.2757 28.4486i 0.142825 0.0897432i −0.458724 0.888579i \(-0.651693\pi\)
0.601549 + 0.798836i \(0.294550\pi\)
\(318\) 264.325i 0.831210i
\(319\) 215.585 262.262i 0.675816 0.822137i
\(320\) −6.55015 −0.0204692
\(321\) 391.920 + 623.737i 1.22094 + 1.94311i
\(322\) −21.8602 + 62.4728i −0.0678887 + 0.194015i
\(323\) 2.04840 4.25354i 0.00634178 0.0131688i
\(324\) 118.363 + 27.0156i 0.365318 + 0.0833815i
\(325\) 286.772 65.4538i 0.882375 0.201396i
\(326\) −78.2248 + 37.6711i −0.239953 + 0.115555i
\(327\) 98.5500 11.1039i 0.301376 0.0339569i
\(328\) 260.597 + 207.820i 0.794505 + 0.633596i
\(329\) 80.6013 + 230.345i 0.244989 + 0.700138i
\(330\) −109.327 12.3182i −0.331294 0.0373279i
\(331\) −397.745 397.745i −1.20165 1.20165i −0.973666 0.227980i \(-0.926788\pi\)
−0.227980 0.973666i \(-0.573212\pi\)
\(332\) 234.408 186.934i 0.706048 0.563054i
\(333\) 96.7931 + 60.8191i 0.290670 + 0.182640i
\(334\) −10.5008 + 16.7119i −0.0314396 + 0.0500358i
\(335\) −54.7812 68.6935i −0.163526 0.205055i
\(336\) 249.654 249.654i 0.743018 0.743018i
\(337\) −42.6588 + 378.607i −0.126584 + 1.12346i 0.756416 + 0.654091i \(0.226949\pi\)
−0.883000 + 0.469373i \(0.844480\pi\)
\(338\) 25.9236 9.07105i 0.0766970 0.0268374i
\(339\) 120.401 150.978i 0.355166 0.445363i
\(340\) 0.157586 + 1.39861i 0.000463488 + 0.00411357i
\(341\) 3.87834 + 8.05346i 0.0113734 + 0.0236172i
\(342\) −71.8546 314.816i −0.210101 0.920513i
\(343\) 34.6684 151.892i 0.101074 0.442834i
\(344\) 127.171 + 61.2422i 0.369682 + 0.178030i
\(345\) 65.7280 + 22.9992i 0.190516 + 0.0666644i
\(346\) −59.1666 + 37.1768i −0.171002 + 0.107447i
\(347\) 274.022i 0.789689i −0.918748 0.394845i \(-0.870798\pi\)
0.918748 0.394845i \(-0.129202\pi\)
\(348\) −450.811 + 95.8851i −1.29543 + 0.275532i
\(349\) −156.235 −0.447666 −0.223833 0.974628i \(-0.571857\pi\)
−0.223833 + 0.974628i \(0.571857\pi\)
\(350\) −108.040 171.945i −0.308686 0.491271i
\(351\) −171.560 + 490.289i −0.488774 + 1.39684i
\(352\) −164.220 + 341.005i −0.466533 + 0.968765i
\(353\) 339.627 + 77.5177i 0.962117 + 0.219597i 0.674604 0.738180i \(-0.264314\pi\)
0.287513 + 0.957777i \(0.407172\pi\)
\(354\) 217.888 49.7314i 0.615502 0.140484i
\(355\) −183.897 + 88.5603i −0.518021 + 0.249466i
\(356\) −526.491 + 59.3213i −1.47891 + 0.166633i
\(357\) 9.13966 + 7.28863i 0.0256013 + 0.0204163i
\(358\) 33.2845 + 95.1216i 0.0929734 + 0.265703i
\(359\) −291.435 32.8368i −0.811796 0.0914674i −0.303700 0.952768i \(-0.598222\pi\)
−0.508096 + 0.861300i \(0.669651\pi\)
\(360\) 154.279 + 154.279i 0.428552 + 0.428552i
\(361\) 81.5423 65.0278i 0.225879 0.180132i
\(362\) 230.715 + 144.968i 0.637333 + 0.400463i
\(363\) −42.9645 + 68.3776i −0.118359 + 0.188368i
\(364\) 294.842 + 369.721i 0.810007 + 1.01572i
\(365\) −15.1429 + 15.1429i −0.0414873 + 0.0414873i
\(366\) 38.2349 339.344i 0.104467 0.927170i
\(367\) 94.9299 33.2174i 0.258665 0.0905107i −0.197832 0.980236i \(-0.563390\pi\)
0.456496 + 0.889725i \(0.349104\pi\)
\(368\) 28.0137 35.1281i 0.0761242 0.0954567i
\(369\) −92.7432 823.118i −0.251337 2.23067i
\(370\) 5.67661 + 11.7876i 0.0153422 + 0.0318584i
\(371\) −135.263 592.625i −0.364589 1.59737i
\(372\) 2.70029 11.8307i 0.00725884 0.0318030i
\(373\) −579.925 279.277i −1.55476 0.748732i −0.558050 0.829807i \(-0.688450\pi\)
−0.996708 + 0.0810749i \(0.974165\pi\)
\(374\) −2.21849 0.776284i −0.00593180 0.00207563i
\(375\) −397.767 + 249.934i −1.06071 + 0.666490i
\(376\) 150.970i 0.401516i
\(377\) −39.7654 407.096i −0.105478 1.07983i
\(378\) 358.606 0.948692
\(379\) −311.876 496.348i −0.822893 1.30963i −0.948253 0.317515i \(-0.897152\pi\)
0.125361 0.992111i \(-0.459991\pi\)
\(380\) −45.8150 + 130.932i −0.120566 + 0.344557i
\(381\) −118.632 + 246.341i −0.311369 + 0.646565i
\(382\) −166.428 37.9861i −0.435675 0.0994401i
\(383\) −588.492 + 134.319i −1.53653 + 0.350704i −0.905260 0.424858i \(-0.860324\pi\)
−0.631272 + 0.775561i \(0.717467\pi\)
\(384\) 572.902 275.895i 1.49193 0.718477i
\(385\) 251.418 28.3281i 0.653035 0.0735794i
\(386\) 8.01753 + 6.39376i 0.0207708 + 0.0165642i
\(387\) −115.852 331.086i −0.299359 0.855518i
\(388\) 192.861 + 21.7302i 0.497065 + 0.0560057i
\(389\) 458.331 + 458.331i 1.17823 + 1.17823i 0.980195 + 0.198033i \(0.0634554\pi\)
0.198033 + 0.980195i \(0.436545\pi\)
\(390\) −103.634 + 82.6456i −0.265729 + 0.211912i
\(391\) 1.25964 + 0.791484i 0.00322158 + 0.00202426i
\(392\) 222.469 354.058i 0.567524 0.903209i
\(393\) −218.655 274.185i −0.556374 0.697671i
\(394\) 127.297 127.297i 0.323089 0.323089i
\(395\) 9.46748 84.0262i 0.0239683 0.212725i
\(396\) 569.548 199.294i 1.43825 0.503267i
\(397\) −105.509 + 132.305i −0.265767 + 0.333261i −0.896752 0.442534i \(-0.854080\pi\)
0.630985 + 0.775795i \(0.282651\pi\)
\(398\) −21.8057 193.531i −0.0547881 0.486258i
\(399\) 499.896 + 1038.04i 1.25287 + 2.60161i
\(400\) 30.6751 + 134.397i 0.0766878 + 0.335991i
\(401\) −127.467 + 558.467i −0.317872 + 1.39269i 0.523406 + 0.852084i \(0.324661\pi\)
−0.841278 + 0.540603i \(0.818196\pi\)
\(402\) −179.465 86.4260i −0.446431 0.214990i
\(403\) 10.1652 + 3.55694i 0.0252237 + 0.00882615i
\(404\) −378.206 + 237.643i −0.936154 + 0.588225i
\(405\) 78.2605i 0.193236i
\(406\) −256.209 + 118.736i −0.631057 + 0.292454i
\(407\) 82.0063 0.201490
\(408\) 3.84755 + 6.12335i 0.00943028 + 0.0150082i
\(409\) 198.692 567.828i 0.485799 1.38833i −0.396670 0.917961i \(-0.629834\pi\)
0.882468 0.470372i \(-0.155880\pi\)
\(410\) 41.1328 85.4132i 0.100324 0.208325i
\(411\) −476.914 108.852i −1.16037 0.264848i
\(412\) 302.182 68.9711i 0.733451 0.167405i
\(413\) −463.062 + 222.999i −1.12121 + 0.539949i
\(414\) 101.113 11.3927i 0.244235 0.0275187i
\(415\) −151.102 120.500i −0.364102 0.290362i
\(416\) 150.611 + 430.420i 0.362045 + 1.03466i
\(417\) 981.965 + 110.641i 2.35483 + 0.265326i
\(418\) −163.800 163.800i −0.391866 0.391866i
\(419\) −447.663 + 356.999i −1.06841 + 0.852026i −0.989453 0.144852i \(-0.953729\pi\)
−0.0789538 + 0.996878i \(0.525158\pi\)
\(420\) −290.834 182.743i −0.692462 0.435103i
\(421\) −11.6235 + 18.4986i −0.0276092 + 0.0439398i −0.860244 0.509883i \(-0.829689\pi\)
0.832635 + 0.553823i \(0.186832\pi\)
\(422\) 199.844 + 250.596i 0.473564 + 0.593830i
\(423\) 265.290 265.290i 0.627163 0.627163i
\(424\) 42.1034 373.678i 0.0993005 0.881317i
\(425\) −4.30821 + 1.50751i −0.0101370 + 0.00354708i
\(426\) −288.512 + 361.782i −0.677258 + 0.849255i
\(427\) 87.9284 + 780.387i 0.205921 + 1.82760i
\(428\) −200.628 416.608i −0.468757 0.973384i
\(429\) 184.881 + 810.018i 0.430959 + 1.88815i
\(430\) 8.93318 39.1388i 0.0207748 0.0910206i
\(431\) 493.089 + 237.459i 1.14406 + 0.550949i 0.907243 0.420606i \(-0.138183\pi\)
0.236814 + 0.971555i \(0.423897\pi\)
\(432\) −229.776 80.4020i −0.531888 0.186116i
\(433\) 694.921 436.648i 1.60490 1.00842i 0.632659 0.774430i \(-0.281963\pi\)
0.972238 0.233993i \(-0.0751794\pi\)
\(434\) 7.43496i 0.0171312i
\(435\) 124.923 + 269.559i 0.287180 + 0.619676i
\(436\) −62.2522 −0.142780
\(437\) 78.0066 + 124.147i 0.178505 + 0.284089i
\(438\) −16.0351 + 45.8258i −0.0366099 + 0.104625i
\(439\) 36.2784 75.3329i 0.0826387 0.171601i −0.855555 0.517712i \(-0.826784\pi\)
0.938193 + 0.346111i \(0.112498\pi\)
\(440\) 152.595 + 34.8287i 0.346806 + 0.0791562i
\(441\) −1013.09 + 231.232i −2.29727 + 0.524336i
\(442\) −2.55136 + 1.22867i −0.00577231 + 0.00277980i
\(443\) 596.083 67.1625i 1.34556 0.151608i 0.590380 0.807125i \(-0.298978\pi\)
0.755180 + 0.655517i \(0.227549\pi\)
\(444\) −87.0417 69.4134i −0.196040 0.156336i
\(445\) 112.800 + 322.365i 0.253484 + 0.724415i
\(446\) −327.074 36.8523i −0.733349 0.0826286i
\(447\) 122.856 + 122.856i 0.274846 + 0.274846i
\(448\) 26.6994 21.2921i 0.0595970 0.0475270i
\(449\) −143.331 90.0608i −0.319223 0.200581i 0.362883 0.931835i \(-0.381793\pi\)
−0.682105 + 0.731254i \(0.738935\pi\)
\(450\) −166.096 + 264.340i −0.369103 + 0.587423i
\(451\) −370.490 464.579i −0.821485 1.03011i
\(452\) −85.7126 + 85.7126i −0.189630 + 0.189630i
\(453\) 48.8587 433.633i 0.107856 0.957247i
\(454\) 89.2825 31.2413i 0.196657 0.0688134i
\(455\) 190.059 238.327i 0.417712 0.523795i
\(456\) 79.8025 + 708.267i 0.175005 + 1.55322i
\(457\) −307.067 637.632i −0.671919 1.39526i −0.906101 0.423062i \(-0.860955\pi\)
0.234181 0.972193i \(-0.424759\pi\)
\(458\) −30.9617 135.652i −0.0676020 0.296184i
\(459\) 1.79358 7.85817i 0.00390757 0.0171202i
\(460\) −39.3822 18.9655i −0.0856135 0.0412293i
\(461\) −189.621 66.3513i −0.411326 0.143929i 0.116681 0.993169i \(-0.462775\pi\)
−0.528006 + 0.849240i \(0.677060\pi\)
\(462\) 485.676 305.171i 1.05125 0.660543i
\(463\) 545.754i 1.17873i −0.807865 0.589367i \(-0.799377\pi\)
0.807865 0.589367i \(-0.200623\pi\)
\(464\) 190.787 18.6362i 0.411179 0.0401642i
\(465\) −7.82236 −0.0168223
\(466\) 154.899 + 246.521i 0.332402 + 0.529015i
\(467\) −8.31232 + 23.7552i −0.0177994 + 0.0508677i −0.952440 0.304725i \(-0.901435\pi\)
0.934641 + 0.355593i \(0.115721\pi\)
\(468\) 315.434 655.006i 0.674005 1.39958i
\(469\) 446.594 + 101.932i 0.952225 + 0.217339i
\(470\) 41.8622 9.55477i 0.0890685 0.0203293i
\(471\) 202.133 97.3419i 0.429156 0.206671i
\(472\) −315.951 + 35.5991i −0.669388 + 0.0754219i
\(473\) −196.734 156.890i −0.415929 0.331692i
\(474\) −63.3146 180.943i −0.133575 0.381736i
\(475\) −447.022 50.3672i −0.941098 0.106036i
\(476\) −5.18872 5.18872i −0.0109007 0.0109007i
\(477\) −730.626 + 582.655i −1.53171 + 1.22150i
\(478\) 22.8776 + 14.3750i 0.0478612 + 0.0300732i
\(479\) 125.217 199.282i 0.261414 0.416038i −0.690067 0.723746i \(-0.742419\pi\)
0.951481 + 0.307707i \(0.0995618\pi\)
\(480\) −206.512 258.958i −0.430234 0.539497i
\(481\) 69.8643 69.8643i 0.145248 0.145248i
\(482\) −15.1003 + 134.019i −0.0313283 + 0.278047i
\(483\) −342.679 + 119.909i −0.709481 + 0.248258i
\(484\) 31.6053 39.6318i 0.0653002 0.0818838i
\(485\) −14.0076 124.321i −0.0288816 0.256331i
\(486\) 54.9401 + 114.084i 0.113046 + 0.234741i
\(487\) 205.721 + 901.323i 0.422425 + 1.85077i 0.518053 + 0.855348i \(0.326657\pi\)
−0.0956278 + 0.995417i \(0.530486\pi\)
\(488\) −108.106 + 473.644i −0.221529 + 0.970581i
\(489\) −429.083 206.636i −0.877470 0.422568i
\(490\) −112.256 39.2800i −0.229094 0.0801633i
\(491\) 413.153 259.601i 0.841452 0.528720i −0.0409794 0.999160i \(-0.513048\pi\)
0.882432 + 0.470440i \(0.155905\pi\)
\(492\) 806.703i 1.63964i
\(493\) 1.32045 + 6.20820i 0.00267840 + 0.0125927i
\(494\) −279.095 −0.564969
\(495\) −206.942 329.347i −0.418065 0.665347i
\(496\) −1.66697 + 4.76393i −0.00336083 + 0.00960470i
\(497\) 461.718 958.768i 0.929010 1.92911i
\(498\) −427.168 97.4983i −0.857767 0.195780i
\(499\) 464.245 105.961i 0.930351 0.212347i 0.269618 0.962967i \(-0.413103\pi\)
0.660733 + 0.750621i \(0.270245\pi\)
\(500\) 265.678 127.944i 0.531355 0.255887i
\(501\) −107.583 + 12.1217i −0.214736 + 0.0241950i
\(502\) 59.0518 + 47.0922i 0.117633 + 0.0938092i
\(503\) −16.5430 47.2773i −0.0328887 0.0939906i 0.926268 0.376865i \(-0.122998\pi\)
−0.959157 + 0.282874i \(0.908712\pi\)
\(504\) −1130.37 127.362i −2.24279 0.252702i
\(505\) 203.597 + 203.597i 0.403162 + 0.403162i
\(506\) 57.0697 45.5116i 0.112786 0.0899438i
\(507\) 127.560 + 80.1515i 0.251598 + 0.158090i
\(508\) 91.3111 145.321i 0.179746 0.286065i
\(509\) 484.514 + 607.562i 0.951895 + 1.19364i 0.980989 + 0.194062i \(0.0621662\pi\)
−0.0290946 + 0.999577i \(0.509262\pi\)
\(510\) 1.45442 1.45442i 0.00285180 0.00285180i
\(511\) 12.5009 110.948i 0.0244636 0.217120i
\(512\) −365.603 + 127.930i −0.714068 + 0.249863i
\(513\) 495.299 621.085i 0.965495 1.21069i
\(514\) −15.6769 139.136i −0.0304998 0.270693i
\(515\) −86.6899 180.013i −0.168330 0.349540i
\(516\) 76.0159 + 333.048i 0.147318 + 0.645441i
\(517\) 59.8897 262.394i 0.115841 0.507531i
\(518\) −61.4558 29.5956i −0.118641 0.0571343i
\(519\) −361.784 126.594i −0.697080 0.243919i
\(520\) 159.673 100.329i 0.307063 0.192941i
\(521\) 368.806i 0.707881i 0.935268 + 0.353940i \(0.115158\pi\)
−0.935268 + 0.353940i \(0.884842\pi\)
\(522\) 335.363 + 275.677i 0.642459 + 0.528116i
\(523\) 384.561 0.735299 0.367649 0.929964i \(-0.380163\pi\)
0.367649 + 0.929964i \(0.380163\pi\)
\(524\) 117.119 + 186.393i 0.223509 + 0.355713i
\(525\) 367.896 1051.39i 0.700755 2.00264i
\(526\) 121.971 253.276i 0.231885 0.481514i
\(527\) −0.162923 0.0371861i −0.000309152 7.05619e-5i
\(528\) −379.617 + 86.6452i −0.718972 + 0.164101i
\(529\) 434.986 209.478i 0.822280 0.395989i
\(530\) −106.281 + 11.9750i −0.200530 + 0.0225943i
\(531\) 617.756 + 492.644i 1.16338 + 0.927766i
\(532\) −238.861 682.626i −0.448987 1.28313i
\(533\) −711.427 80.1586i −1.33476 0.150391i
\(534\) 547.498 + 547.498i 1.02528 + 1.02528i
\(535\) −233.040 + 185.843i −0.435589 + 0.347370i
\(536\) 239.945 + 150.768i 0.447659 + 0.281283i
\(537\) −294.100 + 468.058i −0.547673 + 0.871617i
\(538\) −166.903 209.289i −0.310228 0.389014i
\(539\) −527.117 + 527.117i −0.977954 + 0.977954i
\(540\) −26.5164 + 235.340i −0.0491045 + 0.435815i
\(541\) −216.745 + 75.8424i −0.400638 + 0.140189i −0.523074 0.852287i \(-0.675215\pi\)
0.122436 + 0.992476i \(0.460929\pi\)
\(542\) 89.8792 112.705i 0.165829 0.207943i
\(543\) 167.344 + 1485.22i 0.308185 + 2.73521i
\(544\) −3.07017 6.37527i −0.00564369 0.0117193i
\(545\) 8.92944 + 39.1224i 0.0163843 + 0.0717843i
\(546\) 153.780 673.753i 0.281648 1.23398i
\(547\) −20.9942 10.1103i −0.0383807 0.0184832i 0.414595 0.910006i \(-0.363923\pi\)
−0.452976 + 0.891523i \(0.649638\pi\)
\(548\) 289.830 + 101.416i 0.528888 + 0.185066i
\(549\) 1022.27 642.335i 1.86206 1.17001i
\(550\) 223.958i 0.407197i
\(551\) −148.226 + 607.736i −0.269012 + 1.10297i
\(552\) −224.595 −0.406875
\(553\) 234.547 + 373.279i 0.424136 + 0.675008i
\(554\) 40.5346 115.841i 0.0731671 0.209099i
\(555\) −31.1377 + 64.6581i −0.0561039 + 0.116501i
\(556\) −604.737 138.027i −1.08766 0.248250i
\(557\) −1081.10 + 246.754i −1.94093 + 0.443005i −0.949197 + 0.314682i \(0.898102\pi\)
−0.991733 + 0.128322i \(0.959041\pi\)
\(558\) −10.2982 + 4.95937i −0.0184556 + 0.00888776i
\(559\) −301.266 + 33.9446i −0.538938 + 0.0607238i
\(560\) 111.693 + 89.0718i 0.199451 + 0.159057i
\(561\) −4.25812 12.1690i −0.00759023 0.0216916i
\(562\) 341.386 + 38.4650i 0.607449 + 0.0684431i
\(563\) 160.111 + 160.111i 0.284390 + 0.284390i 0.834857 0.550467i \(-0.185550\pi\)
−0.550467 + 0.834857i \(0.685550\pi\)
\(564\) −285.667 + 227.812i −0.506503 + 0.403922i
\(565\) 66.1608 + 41.5716i 0.117099 + 0.0735780i
\(566\) −69.1820 + 110.103i −0.122230 + 0.194527i
\(567\) 254.396 + 319.002i 0.448670 + 0.562614i
\(568\) 465.499 465.499i 0.819540 0.819540i
\(569\) −56.4577 + 501.076i −0.0992226 + 0.880625i 0.841225 + 0.540686i \(0.181835\pi\)
−0.940447 + 0.339939i \(0.889593\pi\)
\(570\) 191.343 66.9538i 0.335689 0.117463i
\(571\) −35.8730 + 44.9834i −0.0628249 + 0.0787800i −0.812251 0.583308i \(-0.801758\pi\)
0.749426 + 0.662088i \(0.230329\pi\)
\(572\) −58.3930 518.252i −0.102086 0.906035i
\(573\) −406.279 843.647i −0.709038 1.47233i
\(574\) 109.983 + 481.865i 0.191607 + 0.839486i
\(575\) 31.5430 138.199i 0.0548573 0.240346i
\(576\) −47.3014 22.7791i −0.0821204 0.0395471i
\(577\) −699.675 244.827i −1.21261 0.424310i −0.353175 0.935557i \(-0.614898\pi\)
−0.859434 + 0.511247i \(0.829184\pi\)
\(578\) −224.437 + 141.023i −0.388299 + 0.243984i
\(579\) 56.2502i 0.0971507i
\(580\) −58.9776 176.920i −0.101685 0.305035i
\(581\) 1007.62 1.73428
\(582\) −150.900 240.156i −0.259278 0.412639i
\(583\) −221.416 + 632.769i −0.379787 + 1.08537i
\(584\) 29.9684 62.2301i 0.0513158 0.106558i
\(585\) −456.885 104.281i −0.781000 0.178258i
\(586\) −350.359 + 79.9672i −0.597883 + 0.136463i
\(587\) −381.756 + 183.844i −0.650351 + 0.313192i −0.729814 0.683645i \(-0.760393\pi\)
0.0794637 + 0.996838i \(0.474679\pi\)
\(588\) 1005.66 113.310i 1.71030 0.192704i
\(589\) −12.8769 10.2690i −0.0218624 0.0174347i
\(590\) 29.8675 + 85.3563i 0.0506228 + 0.144672i
\(591\) 981.276 + 110.563i 1.66036 + 0.187078i
\(592\) 32.7421 + 32.7421i 0.0553077 + 0.0553077i
\(593\) 491.712 392.127i 0.829194 0.661260i −0.114008 0.993480i \(-0.536369\pi\)
0.943202 + 0.332220i \(0.107798\pi\)
\(594\) −334.872 210.414i −0.563758 0.354233i
\(595\) −2.51659 + 4.00512i −0.00422956 + 0.00673130i
\(596\) −67.9987 85.2676i −0.114092 0.143067i
\(597\) 755.391 755.391i 1.26531 1.26531i
\(598\) 9.84681 87.3929i 0.0164662 0.146142i
\(599\) 1029.67 360.297i 1.71898 0.601498i 0.722983 0.690866i \(-0.242771\pi\)
0.995999 + 0.0893686i \(0.0284849\pi\)
\(600\) 429.639 538.750i 0.716065 0.897917i
\(601\) 2.18327 + 19.3770i 0.00363272 + 0.0322413i 0.995398 0.0958291i \(-0.0305502\pi\)
−0.991765 + 0.128070i \(0.959122\pi\)
\(602\) 90.8127 + 188.575i 0.150852 + 0.313247i
\(603\) −156.706 686.574i −0.259877 1.13860i
\(604\) −60.9524 + 267.050i −0.100915 + 0.442136i
\(605\) −29.4401 14.1776i −0.0486613 0.0234340i
\(606\) 616.130 + 215.593i 1.01672 + 0.355765i
\(607\) −678.738 + 426.479i −1.11818 + 0.702602i −0.958649 0.284591i \(-0.908142\pi\)
−0.159535 + 0.987192i \(0.551000\pi\)
\(608\) 697.394i 1.14703i
\(609\) −1385.44 692.686i −2.27495 1.13742i
\(610\) 138.177 0.226520
\(611\) −172.521 274.566i −0.282358 0.449371i
\(612\) −3.72590 + 10.6480i −0.00608807 + 0.0173987i
\(613\) −376.980 + 782.807i −0.614975 + 1.27701i 0.328167 + 0.944620i \(0.393569\pi\)
−0.943142 + 0.332390i \(0.892145\pi\)
\(614\) −461.370 105.305i −0.751417 0.171506i
\(615\) 506.973 115.713i 0.824346 0.188152i
\(616\) −735.215 + 354.061i −1.19353 + 0.574774i
\(617\) 80.6908 9.09167i 0.130779 0.0147353i −0.0463322 0.998926i \(-0.514753\pi\)
0.177111 + 0.984191i \(0.443325\pi\)
\(618\) −354.141 282.418i −0.573044 0.456988i
\(619\) −330.849 945.513i −0.534490 1.52748i −0.821874 0.569669i \(-0.807071\pi\)
0.287384 0.957815i \(-0.407214\pi\)
\(620\) 4.87929 + 0.549765i 0.00786983 + 0.000886717i
\(621\) 177.006 + 177.006i 0.285033 + 0.285033i
\(622\) −10.2961 + 8.21085i −0.0165532 + 0.0132007i
\(623\) −1507.68 947.337i −2.42003 1.52061i
\(624\) −249.594 + 397.227i −0.399991 + 0.636581i
\(625\) 206.552 + 259.007i 0.330482 + 0.414412i
\(626\) −10.9413 + 10.9413i −0.0174781 + 0.0174781i
\(627\) 142.268 1262.66i 0.226902 2.01381i
\(628\) −132.924 + 46.5121i −0.211662 + 0.0740639i
\(629\) −0.955904 + 1.19867i −0.00151972 + 0.00190567i
\(630\) 36.2241 + 321.498i 0.0574986 + 0.510314i
\(631\) 335.980 + 697.669i 0.532456 + 1.10566i 0.977653 + 0.210224i \(0.0674193\pi\)
−0.445197 + 0.895433i \(0.646866\pi\)
\(632\) 60.6866 + 265.885i 0.0960231 + 0.420705i
\(633\) −391.228 + 1714.08i −0.618053 + 2.70787i
\(634\) 44.1935 + 21.2825i 0.0697059 + 0.0335686i
\(635\) −104.425 36.5398i −0.164448 0.0575430i
\(636\) 770.612 484.207i 1.21165 0.761332i
\(637\) 898.143i 1.40996i
\(638\) 308.922 + 39.4541i 0.484203 + 0.0618403i
\(639\) −1635.98 −2.56022
\(640\) 136.888 + 217.856i 0.213888 + 0.340400i
\(641\) 26.7029 76.3125i 0.0416582 0.119052i −0.921175 0.389148i \(-0.872770\pi\)
0.962834 + 0.270095i \(0.0870553\pi\)
\(642\) −293.197 + 608.829i −0.456693 + 0.948332i
\(643\) −682.001 155.662i −1.06066 0.242088i −0.343609 0.939113i \(-0.611649\pi\)
−0.717047 + 0.697025i \(0.754507\pi\)
\(644\) 222.178 50.7106i 0.344997 0.0787432i
\(645\) 198.400 95.5446i 0.307597 0.148131i
\(646\) 4.30355 0.484894i 0.00666184 0.000750610i
\(647\) 854.959 + 681.807i 1.32142 + 1.05380i 0.994053 + 0.108901i \(0.0347332\pi\)
0.327368 + 0.944897i \(0.393838\pi\)
\(648\) 83.3665 + 238.248i 0.128652 + 0.367666i
\(649\) 563.261 + 63.4643i 0.867890 + 0.0977878i
\(650\) 190.798 + 190.798i 0.293536 + 0.293536i
\(651\) 31.8852 25.4276i 0.0489788 0.0390593i
\(652\) 253.123 + 159.048i 0.388226 + 0.243938i
\(653\) 272.229 433.250i 0.416889 0.663476i −0.570588 0.821236i \(-0.693285\pi\)
0.987477 + 0.157761i \(0.0504275\pi\)
\(654\) 56.7220 + 71.1271i 0.0867309 + 0.108757i
\(655\) 100.340 100.340i 0.153190 0.153190i
\(656\) 37.5666 333.413i 0.0572661 0.508251i
\(657\) −162.014 + 56.6913i −0.246597 + 0.0862881i
\(658\) −139.578 + 175.025i −0.212124 + 0.265996i
\(659\) −105.681 937.943i −0.160365 1.42328i −0.773746 0.633495i \(-0.781620\pi\)
0.613381 0.789787i \(-0.289809\pi\)
\(660\) 164.360 + 341.297i 0.249030 + 0.517117i
\(661\) −116.346 509.745i −0.176015 0.771173i −0.983445 0.181209i \(-0.941999\pi\)
0.807429 0.589964i \(-0.200858\pi\)
\(662\) 114.820 503.058i 0.173444 0.759906i
\(663\) −13.9949 6.73958i −0.0211084 0.0101653i
\(664\) 588.361 + 205.876i 0.886086 + 0.310055i
\(665\) −394.735 + 248.028i −0.593586 + 0.372975i
\(666\) 104.864i 0.157454i
\(667\) −185.071 67.8556i −0.277467 0.101733i
\(668\) 67.9580 0.101734
\(669\) −960.550 1528.71i −1.43580 2.28506i
\(670\) 26.6201 76.0758i 0.0397314 0.113546i
\(671\) 375.788 780.331i 0.560041 1.16294i
\(672\) 1683.55 + 384.260i 2.50529 + 0.571816i
\(673\) 734.243 167.586i 1.09100 0.249014i 0.361072 0.932538i \(-0.382411\pi\)
0.729928 + 0.683524i \(0.239554\pi\)
\(674\) −314.894 + 151.645i −0.467201 + 0.224992i
\(675\) −763.197 + 85.9917i −1.13066 + 0.127395i
\(676\) −73.9342 58.9606i −0.109370 0.0872198i
\(677\) 84.8727 + 242.552i 0.125366 + 0.358275i 0.989411 0.145139i \(-0.0463628\pi\)
−0.864045 + 0.503414i \(0.832077\pi\)
\(678\) 176.030 + 19.8339i 0.259632 + 0.0292535i
\(679\) 461.217 + 461.217i 0.679260 + 0.679260i
\(680\) −2.28780 + 1.82446i −0.00336441 + 0.00268302i
\(681\) 439.326 + 276.047i 0.645119 + 0.405355i
\(682\) −4.36251 + 6.94289i −0.00639664 + 0.0101802i
\(683\) 765.006 + 959.287i 1.12007 + 1.40452i 0.903678 + 0.428213i \(0.140857\pi\)
0.216390 + 0.976307i \(0.430572\pi\)
\(684\) −786.184 + 786.184i −1.14939 + 1.14939i
\(685\) 22.1618 196.691i 0.0323530 0.287141i
\(686\) 134.899 47.2030i 0.196645 0.0688091i
\(687\) 475.862 596.712i 0.692666 0.868576i
\(688\) −15.9082 141.189i −0.0231224 0.205217i
\(689\) 350.448 + 727.712i 0.508633 + 1.05619i
\(690\) 14.2144 + 62.2774i 0.0206006 + 0.0902571i
\(691\) −36.0165 + 157.799i −0.0521223 + 0.228363i −0.994280 0.106808i \(-0.965937\pi\)
0.942157 + 0.335171i \(0.108794\pi\)
\(692\) 216.770 + 104.391i 0.313252 + 0.150854i
\(693\) 1914.11 + 669.777i 2.76207 + 0.966489i
\(694\) 212.840 133.736i 0.306686 0.192704i
\(695\) 399.846i 0.575318i
\(696\) −667.449 687.542i −0.958978 0.987848i
\(697\) 11.1092 0.0159387
\(698\) −76.2506 121.352i −0.109241 0.173857i
\(699\) −527.461 + 1507.40i −0.754594 + 2.15650i
\(700\) −303.372 + 629.959i −0.433389 + 0.899942i
\(701\) −956.674 218.355i −1.36473 0.311490i −0.523433 0.852067i \(-0.675349\pi\)
−0.841295 + 0.540577i \(0.818206\pi\)
\(702\) −464.550 + 106.031i −0.661752 + 0.151041i
\(703\) −136.139 + 65.5613i −0.193655 + 0.0932593i
\(704\) −37.4257 + 4.21686i −0.0531615 + 0.00598986i
\(705\) 184.145 + 146.851i 0.261198 + 0.208299i
\(706\) 105.545 + 301.630i 0.149497 + 0.427238i
\(707\) −1491.71 168.075i −2.10991 0.237730i
\(708\) −544.127 544.127i −0.768541 0.768541i
\(709\) −46.3533 + 36.9655i −0.0653784 + 0.0521375i −0.655634 0.755079i \(-0.727598\pi\)
0.590255 + 0.807217i \(0.299027\pi\)
\(710\) −158.538 99.6161i −0.223293 0.140304i
\(711\) 360.582 573.864i 0.507148 0.807122i
\(712\) −686.794 861.212i −0.964598 1.20957i
\(713\) 3.66985 3.66985i 0.00514705 0.00514705i
\(714\) −1.20067 + 10.6562i −0.00168161 + 0.0149247i
\(715\) −317.320 + 111.035i −0.443804 + 0.155294i
\(716\) 216.344 271.287i 0.302157 0.378893i
\(717\) 16.5938 + 147.274i 0.0231434 + 0.205404i
\(718\) −116.729 242.391i −0.162576 0.337592i
\(719\) −13.6399 59.7604i −0.0189707 0.0831160i 0.964556 0.263877i \(-0.0850012\pi\)
−0.983527 + 0.180761i \(0.942144\pi\)
\(720\) 48.8716 214.121i 0.0678772 0.297390i
\(721\) 938.518 + 451.966i 1.30169 + 0.626860i
\(722\) 90.3055 + 31.5992i 0.125077 + 0.0437663i
\(723\) −626.388 + 393.586i −0.866373 + 0.544378i
\(724\) 938.186i 1.29584i
\(725\) 516.801 314.137i 0.712829 0.433292i
\(726\) −74.0795 −0.102038
\(727\) 495.191 + 788.091i 0.681142 + 1.08403i 0.991079 + 0.133275i \(0.0425493\pi\)
−0.309937 + 0.950757i \(0.600308\pi\)
\(728\) −324.719 + 927.995i −0.446043 + 1.27472i
\(729\) −451.460 + 937.466i −0.619287 + 1.28596i
\(730\) −19.1523 4.37139i −0.0262361 0.00598821i
\(731\) 4.58646 1.04683i 0.00627422 0.00143205i
\(732\) −1059.36 + 510.163i −1.44722 + 0.696944i
\(733\) 905.749 102.053i 1.23567 0.139227i 0.530144 0.847907i \(-0.322138\pi\)
0.705530 + 0.708680i \(0.250709\pi\)
\(734\) 72.1313 + 57.5228i 0.0982716 + 0.0783690i
\(735\) −215.461 615.752i −0.293144 0.837758i
\(736\) 218.375 + 24.6049i 0.296705 + 0.0334306i
\(737\) −357.227 357.227i −0.484705 0.484705i
\(738\) 594.074 473.758i 0.804979 0.641949i
\(739\) 725.917 + 456.124i 0.982297 + 0.617218i 0.924529 0.381112i \(-0.124459\pi\)
0.0577679 + 0.998330i \(0.481602\pi\)
\(740\) 23.9667 38.1429i 0.0323875 0.0515444i
\(741\) −954.505 1196.91i −1.28813 1.61527i
\(742\) 394.292 394.292i 0.531391 0.531391i
\(743\) −28.5464 + 253.356i −0.0384204 + 0.340991i 0.959766 + 0.280799i \(0.0905996\pi\)
−0.998187 + 0.0601911i \(0.980829\pi\)
\(744\) 23.8135 8.33272i 0.0320075 0.0111999i
\(745\) −43.8328 + 54.9646i −0.0588360 + 0.0737780i
\(746\) −66.1101 586.744i −0.0886195 0.786520i
\(747\) −672.115 1395.66i −0.899753 1.86836i
\(748\) 1.80080 + 7.88983i 0.00240749 + 0.0105479i
\(749\) 345.801 1515.05i 0.461683 2.02277i
\(750\) −388.260 186.976i −0.517680 0.249301i
\(751\) 322.155 + 112.727i 0.428968 + 0.150103i 0.536123 0.844140i \(-0.319888\pi\)
−0.107155 + 0.994242i \(0.534174\pi\)
\(752\) 128.676 80.8525i 0.171112 0.107517i
\(753\) 414.302i 0.550202i
\(754\) 296.795 229.570i 0.393627 0.304469i
\(755\) 176.571 0.233869
\(756\) −656.917 1045.48i −0.868938 1.38291i
\(757\) −182.836 + 522.514i −0.241527 + 0.690244i 0.757762 + 0.652531i \(0.226293\pi\)
−0.999289 + 0.0377125i \(0.987993\pi\)
\(758\) 233.316 484.485i 0.307804 0.639162i
\(759\) 390.357 + 89.0965i 0.514305 + 0.117387i
\(760\) −281.168 + 64.1748i −0.369958 + 0.0844405i
\(761\) −449.183 + 216.315i −0.590253 + 0.284251i −0.705072 0.709135i \(-0.749085\pi\)
0.114819 + 0.993386i \(0.463371\pi\)
\(762\) −249.238 + 28.0824i −0.327084 + 0.0368535i
\(763\) −163.570 130.443i −0.214378 0.170961i
\(764\) 194.129 + 554.789i 0.254096 + 0.726164i
\(765\) 7.22619 + 0.814196i 0.00944600 + 0.00106431i
\(766\) −391.542 391.542i −0.511152 0.511152i
\(767\) 533.931 425.796i 0.696129 0.555144i
\(768\) 548.727 + 344.788i 0.714488 + 0.448943i
\(769\) −44.7471 + 71.2146i −0.0581887 + 0.0926068i −0.874552 0.484933i \(-0.838844\pi\)
0.816363 + 0.577539i \(0.195987\pi\)
\(770\) 144.708 + 181.458i 0.187932 + 0.235659i
\(771\) 543.078 543.078i 0.704382 0.704382i