Properties

Label 29.3.f.a.26.3
Level $29$
Weight $3$
Character 29.26
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 26.3
Character \(\chi\) \(=\) 29.26
Dual form 29.3.f.a.19.3

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{19}{28}\right)\)

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 −0.702145 0.712034i \(-0.747774\pi\)
0.946170 + 0.323671i \(0.104917\pi\)
\(3\) −1.66190 4.74943i −0.553966 1.58314i −0.791114 0.611669i \(-0.790498\pi\)
0.237148 0.971474i \(-0.423787\pi\)
\(4\) 1.37042 + 2.84571i 0.342606 + 0.711429i
\(5\) −1.98497 + 0.453055i −0.396993 + 0.0906111i −0.416356 0.909201i \(-0.636693\pi\)
0.0193635 + 0.999813i \(0.493836\pi\)
\(6\) −4.50009 1.02712i −0.750015 0.171186i
\(7\) 9.56374 + 4.60566i 1.36625 + 0.657951i 0.966021 0.258465i \(-0.0832165\pi\)
0.400228 + 0.916415i \(0.368931\pi\)
\(8\) 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 −0.623577 0.781762i \(-0.714321\pi\)
−0.433985 + 0.900920i \(0.642893\pi\)
\(12\) 11.2380 11.2380i 0.936501 0.936501i
\(13\) −11.0274 8.79408i −0.848264 0.676468i 0.0996406 0.995023i \(-0.468231\pi\)
−0.947904 + 0.318556i \(0.896802\pi\)
\(14\) 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 0.711644 0.702540i \(-0.247951\pi\)
−0.702540 + 0.711644i \(0.747951\pi\)
\(18\) 1.67610 + 14.8758i 0.0931165 + 0.826431i
\(19\) 20.3603 + 7.12436i 1.07159 + 0.374966i 0.807705 0.589587i \(-0.200710\pi\)
0.263888 + 0.964553i \(0.414995\pi\)
\(20\) −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 −0.931345 0.364138i \(-0.881364\pi\)
0.997106 + 0.0760183i \(0.0242207\pi\)
\(24\) −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 −0.853212 0.521564i \(-0.825349\pi\)
0.840108 + 0.542419i \(0.182492\pi\)
\(32\) 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 0.0173945 0.999849i \(-0.494463\pi\)
−0.205529 + 0.978651i \(0.565891\pi\)
\(38\) 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 −0.117648 0.993055i \(-0.537536\pi\)
0.993055 + 0.117648i \(0.0375355\pi\)
\(42\) −38.3072 30.5490i −0.912076 0.727356i
\(43\) 18.2000 11.4358i 0.423256 0.265949i −0.303519 0.952825i \(-0.598161\pi\)
0.726774 + 0.686876i \(0.241019\pi\)
\(44\) −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 −0.990917 0.134475i \(-0.957065\pi\)
0.936149 0.351603i \(-0.114363\pi\)
\(48\) 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 0.940629 + 0.339436i \(0.110236\pi\)
−0.700202 + 0.713945i \(0.746907\pi\)
\(54\) 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 −0.950813 0.309766i \(-0.899749\pi\)
0.550239 0.835007i \(-0.314537\pi\)
\(62\) 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 −0.338488 0.940971i \(-0.609915\pi\)
0.842058 + 0.539387i \(0.181344\pi\)
\(68\) −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 0.993534 0.113536i \(-0.0362177\pi\)
0.110393 + 0.993888i \(0.464789\pi\)
\(72\) −90.7367 + 57.0137i −1.26023 + 0.791856i
\(73\) 5.59603 + 8.90604i 0.0766580 + 0.122001i 0.882853 0.469649i \(-0.155620\pi\)
−0.806195 + 0.591650i \(0.798477\pi\)
\(74\) −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 −0.929338 0.369230i \(-0.879622\pi\)
0.988199 0.153175i \(-0.0489499\pi\)
\(80\) 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 0.159259 0.987237i \(-0.449090\pi\)
0.871149 + 0.491019i \(0.163375\pi\)
\(84\) 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 −0.218126 + 0.975921i \(0.569994\pi\)
−0.784633 + 0.619961i \(0.787148\pi\)
\(90\) −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 −0.790673 0.612238i \(-0.790269\pi\)
0.999898 + 0.0143099i \(0.00455513\pi\)
\(98\) 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 −0.972683 0.232137i \(-0.925428\pi\)
−0.212883 + 0.977078i \(0.568285\pi\)
\(102\) −0.537480 0.855395i −0.00526941 0.00838622i
\(103\) 61.1848 76.7234i 0.594028 0.744887i −0.390406 0.920643i \(-0.627665\pi\)
0.984434 + 0.175756i \(0.0562368\pi\)
\(104\) −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 0.996787 + 0.0800922i \(0.0255215\pi\)
−0.143722 + 0.989618i \(0.545907\pi\)
\(108\) −13.0237 + 115.589i −0.120590 + 1.07027i
\(109\) −8.55158 + 17.7575i −0.0784549 + 0.162913i −0.936507 0.350650i \(-0.885961\pi\)
0.858052 + 0.513563i \(0.171675\pi\)
\(110\) 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 −0.485765 0.874089i \(-0.661459\pi\)
0.165199 + 0.986260i \(0.447173\pi\)
\(114\) −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 0.103212 0.994659i \(-0.467088\pi\)
0.321957 + 0.946754i \(0.395659\pi\)
\(128\) −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 0.674687 0.738104i \(-0.264278\pi\)
−0.957744 + 0.287621i \(0.907136\pi\)
\(132\) −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 −0.889335 0.457257i \(-0.848832\pi\)
0.968786 0.247897i \(-0.0797395\pi\)
\(138\) −13.6129 + 28.2675i −0.0986443 + 0.204837i
\(139\) −43.7002 + 191.463i −0.314390 + 1.37743i 0.532845 + 0.846213i \(0.321123\pi\)
−0.847235 + 0.531219i \(0.821734\pi\)
\(140\) −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 0.945175 0.326565i \(-0.105891\pi\)
−0.844626 + 0.535357i \(0.820177\pi\)
\(150\) 93.8479 21.4202i 0.625652 0.142801i
\(151\) −84.5495 19.2979i −0.559931 0.127801i −0.0668168 0.997765i \(-0.521284\pi\)
−0.493114 + 0.869965i \(0.664141\pi\)
\(152\) 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 −0.800348 0.599536i \(-0.795352\pi\)
0.599536 + 0.800348i \(0.295352\pi\)
\(158\) −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 −0.983416 0.181362i \(-0.941949\pi\)
0.918403 0.395646i \(-0.129479\pi\)
\(164\) 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 −0.871147 0.491022i \(-0.836624\pi\)
0.927048 + 0.374943i \(0.122338\pi\)
\(168\) 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 \(-0.929343\pi\)
0.975464 0.220157i \(-0.0706569\pi\)
\(174\) 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 0.0873895 0.996174i \(-0.472148\pi\)
0.510959 + 0.859605i \(0.329290\pi\)
\(180\) 102.312 + 23.3521i 0.568401 + 0.129734i
\(181\) 267.619 + 128.879i 1.47856 + 0.712036i 0.987284 0.158968i \(-0.0508167\pi\)
0.491275 + 0.871005i \(0.336531\pi\)
\(182\) −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 0.273060 0.961997i \(-0.411964\pi\)
−0.961997 + 0.273060i \(0.911964\pi\)
\(192\) −1.81248 16.0862i −0.00944002 0.0837825i
\(193\) 10.5516 + 3.69218i 0.0546717 + 0.0191304i 0.357476 0.933922i \(-0.383637\pi\)
−0.302805 + 0.953053i \(0.597923\pi\)
\(194\) −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 0.734546 + 0.678559i \(0.237395\pi\)
−0.956219 + 0.292652i \(0.905462\pi\)
\(198\) −38.9967 170.856i −0.196953 0.862907i
\(199\) −191.282 + 92.1164i −0.961214 + 0.462896i −0.847604 0.530629i \(-0.821956\pi\)
−0.113610 + 0.993525i \(0.536241\pi\)
\(200\) −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 0.885564 0.464517i \(-0.153772\pi\)
0.759996 + 0.649927i \(0.225201\pi\)
\(212\) −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 −0.965970 0.258654i \(-0.916721\pi\)
−0.0372207 0.999307i \(-0.511850\pi\)
\(224\) −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 0.999989 + 0.00472574i \(0.00150425\pi\)
−0.898908 + 0.438137i \(0.855639\pi\)
\(228\) 308.873 148.745i 1.35470 0.652391i
\(229\) −143.168 + 50.0967i −0.625189 + 0.218763i −0.624235 0.781237i \(-0.714589\pi\)
−0.000953694 1.00000i \(0.500304\pi\)
\(230\) 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 0.488576 0.872521i \(-0.337516\pi\)
−0.377542 + 0.925992i \(0.623231\pi\)
\(240\) −67.2940 7.58222i −0.280392 0.0315926i
\(241\) 114.945 91.6659i 0.476952 0.380356i −0.355302 0.934752i \(-0.615622\pi\)
0.832253 + 0.554395i \(0.187050\pi\)
\(242\) 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 0.480620 0.876929i \(-0.340412\pi\)
−0.170993 + 0.985272i \(0.554698\pi\)
\(252\) −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 −0.681859 0.731483i \(-0.738828\pi\)
0.146764 + 0.989171i \(0.453114\pi\)
\(258\) −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 0.378217 + 0.925717i \(0.376537\pi\)
−0.998144 + 0.0608922i \(0.980605\pi\)
\(264\) 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 −0.444934 0.895563i \(-0.646773\pi\)
−0.633060 + 0.774103i \(0.718201\pi\)
\(270\) −53.7765 + 42.8853i −0.199172 + 0.158835i
\(271\) −51.9021 + 148.328i −0.191521 + 0.547335i −0.999100 0.0424247i \(-0.986492\pi\)
0.807579 + 0.589759i \(0.200777\pi\)
\(272\) −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 −0.909261 0.416227i \(-0.863352\pi\)
0.608121 + 0.793844i \(0.291924\pi\)
\(278\) 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 0.998424 + 0.0561179i \(0.0178723\pi\)
−0.167459 + 0.985879i \(0.553556\pi\)
\(282\) −11.8815 + 105.451i −0.0421331 + 0.373941i
\(283\) 61.5039 127.714i 0.217328 0.451287i −0.763591 0.645700i \(-0.776566\pi\)
0.980920 + 0.194413i \(0.0622801\pi\)
\(284\) −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 −0.922756 0.385385i \(-0.874069\pi\)
0.481156 0.876635i \(-0.340217\pi\)
\(294\) −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 −0.977559 0.210663i \(-0.932438\pi\)
−0.210663 0.977559i \(-0.567562\pi\)
\(308\) −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 −0.990863 0.134870i \(-0.956938\pi\)
0.996032 + 0.0889994i \(0.0283669\pi\)
\(312\) −202.211 + 419.896i −0.648113 + 1.34582i
\(313\) 3.75343 16.4449i 0.0119918 0.0525395i −0.968578 0.248710i \(-0.919993\pi\)
0.980570 + 0.196170i \(0.0628506\pi\)
\(314\) 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 0.601549 0.798836i \(-0.294550\pi\)
−0.458724 + 0.888579i \(0.651693\pi\)
\(318\) 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 −0.227980 + 0.973666i \(0.573212\pi\)
−0.973666 + 0.227980i \(0.926788\pi\)
\(332\) 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 −0.883000 0.469373i \(-0.844480\pi\)
0.756416 0.654091i \(-0.226949\pi\)
\(338\) 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 \(0.129202\pi\)
−0.918748 + 0.394845i \(0.870798\pi\)
\(348\) −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 0.287513 0.957777i \(-0.407172\pi\)
0.674604 + 0.738180i \(0.264314\pi\)
\(354\) 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 −0.508096 0.861300i \(-0.669651\pi\)
−0.303700 + 0.952768i \(0.598222\pi\)
\(360\) 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 0.456496 0.889725i \(-0.349104\pi\)
−0.197832 + 0.980236i \(0.563390\pi\)
\(368\) 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 −0.996708 0.0810749i \(-0.974165\pi\)
−0.558050 + 0.829807i \(0.688450\pi\)
\(374\) −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 0.125361 + 0.992111i \(0.459991\pi\)
−0.948253 + 0.317515i \(0.897152\pi\)
\(380\) −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 −0.631272 0.775561i \(-0.717467\pi\)
−0.905260 + 0.424858i \(0.860324\pi\)
\(384\) 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 0.198033 0.980195i \(-0.436545\pi\)
0.980195 0.198033i \(-0.0634554\pi\)
\(390\) −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 0.630985 0.775795i \(-0.282651\pi\)
−0.896752 + 0.442534i \(0.854080\pi\)
\(398\) −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 −0.841278 0.540603i \(-0.818196\pi\)
0.523406 0.852084i \(-0.324661\pi\)
\(402\) −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 0.882468 + 0.470372i \(0.155880\pi\)
−0.396670 + 0.917961i \(0.629834\pi\)
\(410\) 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 −0.0789538 0.996878i \(-0.525158\pi\)
−0.989453 + 0.144852i \(0.953729\pi\)
\(420\) −290.834 + 182.743i −0.692462 + 0.435103i
\(421\) −11.6235 18.4986i −0.0276092 0.0439398i 0.832635 0.553823i \(-0.186832\pi\)
−0.860244 + 0.509883i \(0.829689\pi\)
\(422\) 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 0.236814 0.971555i \(-0.423897\pi\)
0.907243 + 0.420606i \(0.138183\pi\)
\(432\) −229.776 + 80.4020i −0.531888 + 0.186116i
\(433\) 694.921 + 436.648i 1.60490 + 1.00842i 0.972238 + 0.233993i \(0.0751794\pi\)
0.632659 + 0.774430i \(0.281963\pi\)
\(434\) 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 0.938193 0.346111i \(-0.112498\pi\)
−0.855555 + 0.517712i \(0.826784\pi\)
\(440\) 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 0.755180 0.655517i \(-0.227549\pi\)
0.590380 + 0.807125i \(0.298978\pi\)
\(444\) −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 −0.682105 0.731254i \(-0.738935\pi\)
0.362883 + 0.931835i \(0.381793\pi\)
\(450\) −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 0.234181 + 0.972193i \(0.424759\pi\)
−0.906101 + 0.423062i \(0.860955\pi\)
\(458\) −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 −0.528006 0.849240i \(-0.677060\pi\)
0.116681 + 0.993169i \(0.462775\pi\)
\(462\) 485.676 + 305.171i 1.05125 + 0.660543i
\(463\) 545.754i 1.17873i 0.807865 + 0.589367i \(0.200623\pi\)
−0.807865 + 0.589367i \(0.799377\pi\)
\(464\) 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 0.934641 0.355593i \(-0.115721\pi\)
−0.952440 + 0.304725i \(0.901435\pi\)
\(468\) 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 0.951481 0.307707i \(-0.0995618\pi\)
−0.690067 + 0.723746i \(0.742419\pi\)
\(480\) −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 −0.0956278 0.995417i \(-0.530486\pi\)
0.518053 0.855348i \(-0.326657\pi\)
\(488\) −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 0.882432 0.470440i \(-0.155905\pi\)
−0.0409794 + 0.999160i \(0.513048\pi\)
\(492\) 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 0.660733 0.750621i \(-0.270245\pi\)
0.269618 + 0.962967i \(0.413103\pi\)
\(500\) 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 −0.959157 0.282874i \(-0.908712\pi\)
0.926268 + 0.376865i \(0.122998\pi\)
\(504\) −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 −0.0290946 0.999577i \(-0.509262\pi\)
0.980989 0.194062i \(-0.0621662\pi\)
\(510\) 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 \(-0.884842\pi\)
0.935268 0.353940i \(-0.115158\pi\)
\(522\) 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 0.122436 0.992476i \(-0.460929\pi\)
−0.523074 + 0.852287i \(0.675215\pi\)
\(542\) 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 −0.452976 0.891523i \(-0.649638\pi\)
0.414595 + 0.910006i \(0.363923\pi\)
\(548\) 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 −0.991733 0.128322i \(-0.959041\pi\)
−0.949197 0.314682i \(-0.898102\pi\)
\(558\) −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 −0.550467 0.834857i \(-0.685550\pi\)
0.834857 + 0.550467i \(0.185550\pi\)
\(564\) −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 −0.940447 0.339939i \(-0.889593\pi\)
0.841225 0.540686i \(-0.181835\pi\)
\(570\) 191.343 + 66.9538i 0.335689 + 0.117463i
\(571\) −35.8730 44.9834i −0.0628249 0.0787800i 0.749426 0.662088i \(-0.230329\pi\)
−0.812251 + 0.583308i \(0.801758\pi\)
\(572\) −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 −0.859434 0.511247i \(-0.829184\pi\)
−0.353175 + 0.935557i \(0.614898\pi\)
\(578\) −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 0.0794637 0.996838i \(-0.474679\pi\)
−0.729814 + 0.683645i \(0.760393\pi\)
\(588\) 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 0.943202 0.332220i \(-0.107798\pi\)
−0.114008 + 0.993480i \(0.536369\pi\)
\(594\) −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 0.995999 0.0893686i \(-0.0284849\pi\)
0.722983 + 0.690866i \(0.242771\pi\)
\(600\) 429.639 + 538.750i 0.716065 + 0.897917i
\(601\) 2.18327 19.3770i 0.00363272 0.0322413i −0.991765 0.128070i \(-0.959122\pi\)
0.995398 + 0.0958291i \(0.0305502\pi\)
\(602\) 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 −0.159535 0.987192i \(-0.551000\pi\)
−0.958649 + 0.284591i \(0.908142\pi\)
\(608\) 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 −0.943142 0.332390i \(-0.892145\pi\)
0.328167 0.944620i \(-0.393569\pi\)
\(614\) −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 0.177111 0.984191i \(-0.443325\pi\)
−0.0463322 + 0.998926i \(0.514753\pi\)
\(618\) −354.141 + 282.418i −0.573044 + 0.456988i
\(619\) −330.849 + 945.513i −0.534490 + 1.52748i 0.287384 + 0.957815i \(0.407214\pi\)
−0.821874 + 0.569669i \(0.807071\pi\)
\(620\) 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 −0.445197 0.895433i \(-0.646866\pi\)
0.977653 0.210224i \(-0.0674193\pi\)
\(632\) 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 0.962834 0.270095i \(-0.0870553\pi\)
−0.921175 + 0.389148i \(0.872770\pi\)
\(642\) −293.197 608.829i −0.456693 0.948332i
\(643\) −682.001 + 155.662i −1.06066 + 0.242088i −0.717047 0.697025i \(-0.754507\pi\)
−0.343609 + 0.939113i \(0.611649\pi\)
\(644\) 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 0.327368 0.944897i \(-0.393838\pi\)
0.994053 0.108901i \(-0.0347332\pi\)
\(648\) 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 0.987477 0.157761i \(-0.0504275\pi\)
−0.570588 + 0.821236i \(0.693285\pi\)
\(654\) 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 0.613381 + 0.789787i \(0.289809\pi\)
−0.773746 + 0.633495i \(0.781620\pi\)
\(660\) 164.360 341.297i 0.249030 0.517117i
\(661\) −116.346 + 509.745i −0.176015 + 0.771173i 0.807429 + 0.589964i \(0.200858\pi\)
−0.983445 + 0.181209i \(0.941999\pi\)
\(662\) 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 0.729928 0.683524i \(-0.239554\pi\)
0.361072 + 0.932538i \(0.382411\pi\)
\(674\) −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 −0.864045 0.503414i \(-0.832077\pi\)
0.989411 + 0.145139i \(0.0463628\pi\)
\(678\) 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 0.216390 0.976307i \(-0.430572\pi\)
0.903678 0.428213i \(-0.140857\pi\)
\(684\) −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 0.942157 0.335171i \(-0.108794\pi\)
−0.994280 + 0.106808i \(0.965937\pi\)
\(692\) 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 −0.841295 0.540577i \(-0.818206\pi\)
−0.523433 + 0.852067i \(0.675349\pi\)
\(702\) −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 0.590255 0.807217i \(-0.299027\pi\)
−0.655634 + 0.755079i \(0.727598\pi\)
\(710\) −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 −0.983527 0.180761i \(-0.942144\pi\)
0.964556 + 0.263877i \(0.0850012\pi\)
\(720\) 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 −0.309937 0.950757i \(-0.600308\pi\)
0.991079 0.133275i \(-0.0425493\pi\)
\(728\) −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 0.705530 0.708680i \(-0.250709\pi\)
0.530144 + 0.847907i \(0.322138\pi\)
\(734\) 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 0.0577679 0.998330i \(-0.481602\pi\)
0.924529 + 0.381112i \(0.124459\pi\)
\(740\) 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 −0.998187 0.0601911i \(-0.980829\pi\)
0.959766 0.280799i \(-0.0905996\pi\)
\(744\) 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 −0.107155 0.994242i \(-0.534174\pi\)
0.536123 + 0.844140i \(0.319888\pi\)
\(752\) 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 −0.999289 0.0377125i \(-0.987993\pi\)
0.757762 0.652531i \(-0.226293\pi\)
\(758\) 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 0.114819 0.993386i \(-0.463371\pi\)
−0.705072 + 0.709135i \(0.749085\pi\)
\(762\) −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 0.816363 0.577539i \(-0.195987\pi\)
−0.874552 + 0.484933i \(0.838844\pi\)
\(770\) 144.708 181.458i 0.187932 0.235659i
\(771\) 543.078 + 543.078i 0.704382 +