Properties

Label 29.3.f.a.27.4
Level 29
Weight 3
Character 29.27
Analytic conductor 0.790
Analytic rank 0
Dimension 48
CM No

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 27.4
Character \(\chi\) = 29.27
Dual form 29.3.f.a.14.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.293128 - 2.60158i) q^{2} +(0.0782835 - 0.124587i) q^{3} +(-2.78259 - 0.635107i) q^{4} +(-1.65260 + 1.31790i) q^{5} +(-0.301177 - 0.240181i) q^{6} +(0.747987 + 3.27715i) q^{7} +(0.990802 - 2.83155i) q^{8} +(3.89556 + 8.08921i) q^{9} +O(q^{10})\) \(q+(0.293128 - 2.60158i) q^{2} +(0.0782835 - 0.124587i) q^{3} +(-2.78259 - 0.635107i) q^{4} +(-1.65260 + 1.31790i) q^{5} +(-0.301177 - 0.240181i) q^{6} +(0.747987 + 3.27715i) q^{7} +(0.990802 - 2.83155i) q^{8} +(3.89556 + 8.08921i) q^{9} +(2.94421 + 4.68569i) q^{10} +(-0.536371 - 1.53286i) q^{11} +(-0.296957 + 0.296957i) q^{12} +(-3.68793 + 7.65807i) q^{13} +(8.74502 - 0.985327i) q^{14} +(0.0348231 + 0.309063i) q^{15} +(-17.3621 - 8.36113i) q^{16} +(-19.7801 - 19.7801i) q^{17} +(22.1866 - 7.76344i) q^{18} +(-9.28934 + 5.83688i) q^{19} +(5.43551 - 2.61761i) q^{20} +(0.466846 + 0.163357i) q^{21} +(-4.14508 + 0.946088i) q^{22} +(20.8669 - 26.1663i) q^{23} +(-0.275212 - 0.345105i) q^{24} +(-4.56881 + 20.0173i) q^{25} +(18.8421 + 11.8392i) q^{26} +(2.62871 + 0.296185i) q^{27} -9.59400i q^{28} +(12.6644 + 26.0886i) q^{29} +0.814261 q^{30} +(3.96474 - 35.1880i) q^{31} +(-20.4573 + 32.5576i) q^{32} +(-0.232964 - 0.0531725i) q^{33} +(-57.2575 + 45.6614i) q^{34} +(-5.55509 - 4.43004i) q^{35} +(-5.70221 - 24.9830i) q^{36} +(2.28364 - 6.52628i) q^{37} +(12.4622 + 25.8779i) q^{38} +(0.665395 + 1.05897i) q^{39} +(2.09431 + 5.98520i) q^{40} +(-22.9886 + 22.9886i) q^{41} +(0.561831 - 1.16665i) q^{42} +(55.6405 - 6.26918i) q^{43} +(0.518968 + 4.60597i) q^{44} +(-17.0986 - 8.23426i) q^{45} +(-61.9571 - 61.9571i) q^{46} +(60.5913 - 21.2018i) q^{47} +(-2.40085 + 1.50856i) q^{48} +(33.9673 - 16.3578i) q^{49} +(50.7373 + 17.7537i) q^{50} +(-4.01280 + 0.915895i) q^{51} +(15.1257 - 18.9670i) q^{52} +(-22.4008 - 28.0897i) q^{53} +(1.54110 - 6.75198i) q^{54} +(2.90657 + 1.82632i) q^{55} +(10.0205 + 1.12904i) q^{56} +1.61427i q^{57} +(71.5838 - 25.3002i) q^{58} -84.6397 q^{59} +(0.0993902 - 0.882112i) q^{60} +(-38.2161 + 60.8206i) q^{61} +(-90.3823 - 20.6292i) q^{62} +(-23.5957 + 18.8170i) q^{63} +(18.4397 + 14.7051i) q^{64} +(-3.99793 - 17.5161i) q^{65} +(-0.206621 + 0.590488i) q^{66} +(-14.4421 - 29.9894i) q^{67} +(42.4773 + 67.6022i) q^{68} +(-1.62646 - 4.64815i) q^{69} +(-13.1535 + 13.1535i) q^{70} +(-2.14727 + 4.45886i) q^{71} +(26.7647 - 3.01566i) q^{72} +(8.36674 + 74.2568i) q^{73} +(-16.3092 - 7.85411i) q^{74} +(2.13624 + 2.13624i) q^{75} +(29.5554 - 10.3419i) q^{76} +(4.62221 - 2.90432i) q^{77} +(2.95004 - 1.42067i) q^{78} +(28.5672 + 9.99609i) q^{79} +(39.7117 - 9.06394i) q^{80} +(-50.1385 + 62.8717i) q^{81} +(53.0682 + 66.5454i) q^{82} +(-7.54034 + 33.0364i) q^{83} +(-1.19529 - 0.751051i) q^{84} +(58.7568 + 6.62030i) q^{85} -146.591i q^{86} +(4.24172 + 0.464478i) q^{87} -4.87181 q^{88} +(7.04081 - 62.4889i) q^{89} +(-26.4342 + 42.0697i) q^{90} +(-27.8552 - 6.35776i) q^{91} +(-74.6825 + 59.5573i) q^{92} +(-4.07361 - 3.24860i) q^{93} +(-37.3973 - 163.848i) q^{94} +(7.65912 - 21.8885i) q^{95} +(2.45480 + 5.09744i) q^{96} +(-21.4247 - 34.0971i) q^{97} +(-32.5993 - 93.1635i) q^{98} +(10.3102 - 10.3102i) 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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{15}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.293128 2.60158i 0.146564 1.30079i −0.678017 0.735046i \(-0.737160\pi\)
0.824581 0.565744i \(-0.191411\pi\)
\(3\) 0.0782835 0.124587i 0.0260945 0.0415291i −0.833422 0.552637i \(-0.813622\pi\)
0.859517 + 0.511107i \(0.170765\pi\)
\(4\) −2.78259 0.635107i −0.695647 0.158777i
\(5\) −1.65260 + 1.31790i −0.330520 + 0.263581i −0.774662 0.632375i \(-0.782080\pi\)
0.444142 + 0.895956i \(0.353509\pi\)
\(6\) −0.301177 0.240181i −0.0501962 0.0400301i
\(7\) 0.747987 + 3.27715i 0.106855 + 0.468164i 0.999837 + 0.0180702i \(0.00575225\pi\)
−0.892981 + 0.450094i \(0.851391\pi\)
\(8\) 0.990802 2.83155i 0.123850 0.353944i
\(9\) 3.89556 + 8.08921i 0.432840 + 0.898802i
\(10\) 2.94421 + 4.68569i 0.294421 + 0.468569i
\(11\) −0.536371 1.53286i −0.0487610 0.139351i 0.916928 0.399053i \(-0.130661\pi\)
−0.965689 + 0.259703i \(0.916375\pi\)
\(12\) −0.296957 + 0.296957i −0.0247464 + 0.0247464i
\(13\) −3.68793 + 7.65807i −0.283687 + 0.589082i −0.993307 0.115502i \(-0.963152\pi\)
0.709620 + 0.704584i \(0.248867\pi\)
\(14\) 8.74502 0.985327i 0.624644 0.0703805i
\(15\) 0.0348231 + 0.309063i 0.00232154 + 0.0206042i
\(16\) −17.3621 8.36113i −1.08513 0.522571i
\(17\) −19.7801 19.7801i −1.16353 1.16353i −0.983696 0.179837i \(-0.942443\pi\)
−0.179837 0.983696i \(-0.557557\pi\)
\(18\) 22.1866 7.76344i 1.23259 0.431302i
\(19\) −9.28934 + 5.83688i −0.488913 + 0.307204i −0.753833 0.657066i \(-0.771797\pi\)
0.264920 + 0.964270i \(0.414654\pi\)
\(20\) 5.43551 2.61761i 0.271776 0.130880i
\(21\) 0.466846 + 0.163357i 0.0222308 + 0.00777889i
\(22\) −4.14508 + 0.946088i −0.188413 + 0.0430040i
\(23\) 20.8669 26.1663i 0.907259 1.13767i −0.0827374 0.996571i \(-0.526366\pi\)
0.989996 0.141095i \(-0.0450623\pi\)
\(24\) −0.275212 0.345105i −0.0114672 0.0143794i
\(25\) −4.56881 + 20.0173i −0.182752 + 0.800690i
\(26\) 18.8421 + 11.8392i 0.724694 + 0.455356i
\(27\) 2.62871 + 0.296185i 0.0973596 + 0.0109698i
\(28\) 9.59400i 0.342643i
\(29\) 12.6644 + 26.0886i 0.436703 + 0.899606i
\(30\) 0.814261 0.0271420
\(31\) 3.96474 35.1880i 0.127895 1.13510i −0.751744 0.659455i \(-0.770787\pi\)
0.879639 0.475642i \(-0.157784\pi\)
\(32\) −20.4573 + 32.5576i −0.639290 + 1.01742i
\(33\) −0.232964 0.0531725i −0.00705951 0.00161129i
\(34\) −57.2575 + 45.6614i −1.68404 + 1.34298i
\(35\) −5.55509 4.43004i −0.158717 0.126573i
\(36\) −5.70221 24.9830i −0.158395 0.693973i
\(37\) 2.28364 6.52628i 0.0617201 0.176386i −0.908894 0.417027i \(-0.863072\pi\)
0.970614 + 0.240641i \(0.0773577\pi\)
\(38\) 12.4622 + 25.8779i 0.327951 + 0.680998i
\(39\) 0.665395 + 1.05897i 0.0170614 + 0.0271531i
\(40\) 2.09431 + 5.98520i 0.0523578 + 0.149630i
\(41\) −22.9886 + 22.9886i −0.560698 + 0.560698i −0.929506 0.368808i \(-0.879766\pi\)
0.368808 + 0.929506i \(0.379766\pi\)
\(42\) 0.561831 1.16665i 0.0133769 0.0277775i
\(43\) 55.6405 6.26918i 1.29397 0.145795i 0.562000 0.827137i \(-0.310032\pi\)
0.731965 + 0.681342i \(0.238603\pi\)
\(44\) 0.518968 + 4.60597i 0.0117947 + 0.104681i
\(45\) −17.0986 8.23426i −0.379969 0.182984i
\(46\) −61.9571 61.9571i −1.34689 1.34689i
\(47\) 60.5913 21.2018i 1.28918 0.451103i 0.403319 0.915059i \(-0.367856\pi\)
0.885858 + 0.463957i \(0.153571\pi\)
\(48\) −2.40085 + 1.50856i −0.0500178 + 0.0314283i
\(49\) 33.9673 16.3578i 0.693210 0.333832i
\(50\) 50.7373 + 17.7537i 1.01475 + 0.355075i
\(51\) −4.01280 + 0.915895i −0.0786824 + 0.0179587i
\(52\) 15.1257 18.9670i 0.290879 0.364750i
\(53\) −22.4008 28.0897i −0.422656 0.529994i 0.524224 0.851580i \(-0.324355\pi\)
−0.946880 + 0.321586i \(0.895784\pi\)
\(54\) 1.54110 6.75198i 0.0285388 0.125037i
\(55\) 2.90657 + 1.82632i 0.0528467 + 0.0332058i
\(56\) 10.0205 + 1.12904i 0.178938 + 0.0201614i
\(57\) 1.61427i 0.0283205i
\(58\) 71.5838 25.3002i 1.23420 0.436210i
\(59\) −84.6397 −1.43457 −0.717286 0.696779i \(-0.754616\pi\)
−0.717286 + 0.696779i \(0.754616\pi\)
\(60\) 0.0993902 0.882112i 0.00165650 0.0147019i
\(61\) −38.2161 + 60.8206i −0.626494 + 0.997059i 0.371158 + 0.928570i \(0.378961\pi\)
−0.997652 + 0.0684897i \(0.978182\pi\)
\(62\) −90.3823 20.6292i −1.45778 0.332729i
\(63\) −23.5957 + 18.8170i −0.374535 + 0.298682i
\(64\) 18.4397 + 14.7051i 0.288120 + 0.229768i
\(65\) −3.99793 17.5161i −0.0615066 0.269478i
\(66\) −0.206621 + 0.590488i −0.00313062 + 0.00894679i
\(67\) −14.4421 29.9894i −0.215554 0.447603i 0.764953 0.644086i \(-0.222762\pi\)
−0.980507 + 0.196483i \(0.937048\pi\)
\(68\) 42.4773 + 67.6022i 0.624666 + 0.994150i
\(69\) −1.62646 4.64815i −0.0235719 0.0673645i
\(70\) −13.1535 + 13.1535i −0.187906 + 0.187906i
\(71\) −2.14727 + 4.45886i −0.0302433 + 0.0628008i −0.915543 0.402220i \(-0.868239\pi\)
0.885300 + 0.465021i \(0.153953\pi\)
\(72\) 26.7647 3.01566i 0.371733 0.0418842i
\(73\) 8.36674 + 74.2568i 0.114613 + 1.01722i 0.910993 + 0.412421i \(0.135317\pi\)
−0.796381 + 0.604796i \(0.793255\pi\)
\(74\) −16.3092 7.85411i −0.220395 0.106137i
\(75\) 2.13624 + 2.13624i 0.0284832 + 0.0284832i
\(76\) 29.5554 10.3419i 0.388887 0.136078i
\(77\) 4.62221 2.90432i 0.0600287 0.0377185i
\(78\) 2.95004 1.42067i 0.0378211 0.0182137i
\(79\) 28.5672 + 9.99609i 0.361610 + 0.126533i 0.504968 0.863138i \(-0.331504\pi\)
−0.143358 + 0.989671i \(0.545790\pi\)
\(80\) 39.7117 9.06394i 0.496396 0.113299i
\(81\) −50.1385 + 62.8717i −0.618994 + 0.776194i
\(82\) 53.0682 + 66.5454i 0.647173 + 0.811529i
\(83\) −7.54034 + 33.0364i −0.0908475 + 0.398029i −0.999823 0.0188210i \(-0.994009\pi\)
0.908975 + 0.416850i \(0.136866\pi\)
\(84\) −1.19529 0.751051i −0.0142297 0.00894109i
\(85\) 58.7568 + 6.62030i 0.691256 + 0.0778859i
\(86\) 146.591i 1.70455i
\(87\) 4.24172 + 0.464478i 0.0487554 + 0.00533883i
\(88\) −4.87181 −0.0553614
\(89\) 7.04081 62.4889i 0.0791103 0.702123i −0.890079 0.455806i \(-0.849351\pi\)
0.969189 0.246317i \(-0.0792204\pi\)
\(90\) −26.4342 + 42.0697i −0.293713 + 0.467442i
\(91\) −27.8552 6.35776i −0.306101 0.0698655i
\(92\) −74.6825 + 59.5573i −0.811766 + 0.647362i
\(93\) −4.07361 3.24860i −0.0438023 0.0349311i
\(94\) −37.3973 163.848i −0.397843 1.74306i
\(95\) 7.65912 21.8885i 0.0806223 0.230405i
\(96\) 2.45480 + 5.09744i 0.0255708 + 0.0530984i
\(97\) −21.4247 34.0971i −0.220873 0.351517i 0.717845 0.696202i \(-0.245128\pi\)
−0.938718 + 0.344685i \(0.887986\pi\)
\(98\) −32.5993 93.1635i −0.332646 0.950648i
\(99\) 10.3102 10.3102i 0.104143 0.104143i
\(100\) 25.4262 52.7981i 0.254262 0.527981i
\(101\) −66.4243 + 7.48422i −0.657666 + 0.0741011i −0.434489 0.900677i \(-0.643071\pi\)
−0.223176 + 0.974778i \(0.571643\pi\)
\(102\) 1.20651 + 10.7081i 0.0118286 + 0.104981i
\(103\) 107.577 + 51.8063i 1.04444 + 0.502974i 0.875785 0.482702i \(-0.160344\pi\)
0.168651 + 0.985676i \(0.446059\pi\)
\(104\) 18.0302 + 18.0302i 0.173367 + 0.173367i
\(105\) −0.986799 + 0.345296i −0.00939809 + 0.00328853i
\(106\) −79.6439 + 50.0436i −0.751358 + 0.472109i
\(107\) −111.488 + 53.6896i −1.04194 + 0.501772i −0.874964 0.484189i \(-0.839115\pi\)
−0.166977 + 0.985961i \(0.553401\pi\)
\(108\) −7.12650 2.49367i −0.0659862 0.0230896i
\(109\) 194.239 44.3338i 1.78201 0.406732i 0.800685 0.599085i \(-0.204469\pi\)
0.981326 + 0.192353i \(0.0616118\pi\)
\(110\) 5.60331 7.02633i 0.0509392 0.0638757i
\(111\) −0.634320 0.795413i −0.00571460 0.00716588i
\(112\) 14.4140 63.1520i 0.128697 0.563858i
\(113\) 72.7633 + 45.7202i 0.643923 + 0.404604i 0.814031 0.580822i \(-0.197269\pi\)
−0.170108 + 0.985425i \(0.554412\pi\)
\(114\) 4.19965 + 0.473186i 0.0368390 + 0.00415076i
\(115\) 70.7431i 0.615158i
\(116\) −18.6708 80.6369i −0.160955 0.695146i
\(117\) −76.3143 −0.652259
\(118\) −24.8102 + 220.197i −0.210256 + 1.86608i
\(119\) 50.0269 79.6174i 0.420394 0.669054i
\(120\) 0.909631 + 0.207617i 0.00758026 + 0.00173015i
\(121\) 92.5396 73.7979i 0.764790 0.609900i
\(122\) 147.028 + 117.251i 1.20514 + 0.961070i
\(123\) 1.06446 + 4.66372i 0.00865418 + 0.0379164i
\(124\) −33.3804 + 95.3957i −0.269197 + 0.769320i
\(125\) −41.7585 86.7125i −0.334068 0.693700i
\(126\) 42.0373 + 66.9019i 0.333629 + 0.530968i
\(127\) −63.5926 181.737i −0.500729 1.43100i −0.865973 0.500090i \(-0.833300\pi\)
0.365244 0.930912i \(-0.380986\pi\)
\(128\) −65.0947 + 65.0947i −0.508552 + 0.508552i
\(129\) 3.57467 7.42288i 0.0277106 0.0575417i
\(130\) −46.7414 + 5.26649i −0.359549 + 0.0405115i
\(131\) 28.3477 + 251.593i 0.216395 + 1.92056i 0.363790 + 0.931481i \(0.381483\pi\)
−0.147395 + 0.989078i \(0.547089\pi\)
\(132\) 0.614472 + 0.295914i 0.00465509 + 0.00224177i
\(133\) −26.0766 26.0766i −0.196065 0.196065i
\(134\) −82.2533 + 28.7817i −0.613831 + 0.214789i
\(135\) −4.73455 + 2.97492i −0.0350707 + 0.0220364i
\(136\) −75.6064 + 36.4101i −0.555929 + 0.267721i
\(137\) −108.507 37.9681i −0.792019 0.277139i −0.0962049 0.995362i \(-0.530670\pi\)
−0.695814 + 0.718222i \(0.744956\pi\)
\(138\) −12.5693 + 2.86886i −0.0910819 + 0.0207888i
\(139\) −52.1449 + 65.3877i −0.375143 + 0.470415i −0.933184 0.359399i \(-0.882982\pi\)
0.558041 + 0.829814i \(0.311553\pi\)
\(140\) 12.6440 + 15.8550i 0.0903141 + 0.113250i
\(141\) 2.10182 9.20867i 0.0149065 0.0653097i
\(142\) 10.9707 + 6.89332i 0.0772582 + 0.0485445i
\(143\) 13.7168 + 1.54552i 0.0959220 + 0.0108078i
\(144\) 173.017i 1.20150i
\(145\) −55.3114 26.4235i −0.381458 0.182231i
\(146\) 195.638 1.33998
\(147\) 0.621103 5.51244i 0.00422519 0.0374996i
\(148\) −10.4993 + 16.7096i −0.0709413 + 0.112902i
\(149\) −0.907472 0.207125i −0.00609042 0.00139010i 0.219475 0.975618i \(-0.429566\pi\)
−0.225565 + 0.974228i \(0.572423\pi\)
\(150\) 6.18378 4.93140i 0.0412252 0.0328760i
\(151\) −130.951 104.430i −0.867227 0.691590i 0.0851980 0.996364i \(-0.472848\pi\)
−0.952425 + 0.304774i \(0.901419\pi\)
\(152\) 7.32352 + 32.0864i 0.0481811 + 0.211095i
\(153\) 82.9507 237.060i 0.542162 1.54941i
\(154\) −6.20094 12.8764i −0.0402658 0.0836129i
\(155\) 39.8223 + 63.3769i 0.256918 + 0.408883i
\(156\) −1.17896 3.36927i −0.00755744 0.0215979i
\(157\) 149.089 149.089i 0.949615 0.949615i −0.0491756 0.998790i \(-0.515659\pi\)
0.998790 + 0.0491756i \(0.0156594\pi\)
\(158\) 34.3795 71.3897i 0.217592 0.451834i
\(159\) −5.25323 + 0.591897i −0.0330392 + 0.00372262i
\(160\) −9.10008 80.7654i −0.0568755 0.504784i
\(161\) 101.359 + 48.8120i 0.629560 + 0.303180i
\(162\) 148.869 + 148.869i 0.918943 + 0.918943i
\(163\) −233.265 + 81.6231i −1.43108 + 0.500755i −0.930934 0.365189i \(-0.881005\pi\)
−0.500142 + 0.865943i \(0.666719\pi\)
\(164\) 78.5681 49.3676i 0.479074 0.301022i
\(165\) 0.455073 0.219151i 0.00275802 0.00132819i
\(166\) 83.7365 + 29.3007i 0.504437 + 0.176510i
\(167\) 122.972 28.0675i 0.736357 0.168069i 0.162135 0.986769i \(-0.448162\pi\)
0.574221 + 0.818700i \(0.305305\pi\)
\(168\) 0.925105 1.16005i 0.00550658 0.00690503i
\(169\) 60.3246 + 75.6446i 0.356950 + 0.447601i
\(170\) 34.4465 150.920i 0.202626 0.887764i
\(171\) −83.4030 52.4056i −0.487737 0.306465i
\(172\) −158.806 17.8932i −0.923291 0.104030i
\(173\) 120.512i 0.696603i 0.937383 + 0.348301i \(0.113241\pi\)
−0.937383 + 0.348301i \(0.886759\pi\)
\(174\) 2.45174 10.8990i 0.0140905 0.0626381i
\(175\) −69.0169 −0.394382
\(176\) −3.50393 + 31.0983i −0.0199087 + 0.176695i
\(177\) −6.62589 + 10.5450i −0.0374344 + 0.0595765i
\(178\) −160.506 36.6345i −0.901720 0.205812i
\(179\) 75.4516 60.1706i 0.421517 0.336149i −0.389650 0.920963i \(-0.627404\pi\)
0.811167 + 0.584814i \(0.198833\pi\)
\(180\) 42.3487 + 33.7720i 0.235271 + 0.187622i
\(181\) 25.1019 + 109.979i 0.138685 + 0.607618i 0.995725 + 0.0923680i \(0.0294436\pi\)
−0.857040 + 0.515250i \(0.827699\pi\)
\(182\) −24.7053 + 70.6038i −0.135744 + 0.387933i
\(183\) 4.58579 + 9.52250i 0.0250590 + 0.0520355i
\(184\) −53.4163 85.0115i −0.290306 0.462019i
\(185\) 4.82706 + 13.7949i 0.0260922 + 0.0745673i
\(186\) −9.64558 + 9.64558i −0.0518579 + 0.0518579i
\(187\) −19.7106 + 40.9295i −0.105404 + 0.218874i
\(188\) −182.066 + 20.5139i −0.968437 + 0.109117i
\(189\) 0.995602 + 8.83621i 0.00526774 + 0.0467524i
\(190\) −54.6996 26.3419i −0.287893 0.138642i
\(191\) 63.9811 + 63.9811i 0.334980 + 0.334980i 0.854474 0.519494i \(-0.173880\pi\)
−0.519494 + 0.854474i \(0.673880\pi\)
\(192\) 3.27560 1.14618i 0.0170604 0.00596969i
\(193\) −11.0125 + 6.91962i −0.0570597 + 0.0358530i −0.560260 0.828317i \(-0.689299\pi\)
0.503200 + 0.864170i \(0.332156\pi\)
\(194\) −94.9866 + 45.7432i −0.489622 + 0.235789i
\(195\) −2.49525 0.873127i −0.0127962 0.00447758i
\(196\) −104.906 + 23.9441i −0.535234 + 0.122164i
\(197\) −68.8268 + 86.3061i −0.349375 + 0.438102i −0.925205 0.379467i \(-0.876107\pi\)
0.575831 + 0.817569i \(0.304679\pi\)
\(198\) −23.8005 29.8449i −0.120205 0.150732i
\(199\) −35.9069 + 157.318i −0.180437 + 0.790545i 0.800985 + 0.598684i \(0.204309\pi\)
−0.981422 + 0.191861i \(0.938548\pi\)
\(200\) 52.1531 + 32.7700i 0.260765 + 0.163850i
\(201\) −4.86689 0.548366i −0.0242134 0.00272819i
\(202\) 175.002i 0.866346i
\(203\) −76.0232 + 61.0170i −0.374499 + 0.300576i
\(204\) 11.7477 0.0575865
\(205\) 7.69419 68.2878i 0.0375326 0.333111i
\(206\) 166.312 264.684i 0.807340 1.28487i
\(207\) 292.953 + 66.8647i 1.41523 + 0.323018i
\(208\) 128.060 102.125i 0.615674 0.490984i
\(209\) 13.9297 + 11.1085i 0.0666490 + 0.0531508i
\(210\) 0.609057 + 2.66845i 0.00290027 + 0.0127069i
\(211\) −67.7357 + 193.577i −0.321022 + 0.917429i 0.664411 + 0.747367i \(0.268682\pi\)
−0.985433 + 0.170062i \(0.945603\pi\)
\(212\) 44.4922 + 92.3889i 0.209869 + 0.435797i
\(213\) 0.387422 + 0.616578i 0.00181888 + 0.00289473i
\(214\) 106.998 + 305.782i 0.499990 + 1.42889i
\(215\) −83.6893 + 83.6893i −0.389253 + 0.389253i
\(216\) 3.44319 7.14987i 0.0159407 0.0331012i
\(217\) 118.282 13.3272i 0.545078 0.0614155i
\(218\) −58.4011 518.324i −0.267895 2.37763i
\(219\) 9.90645 + 4.77069i 0.0452349 + 0.0217840i
\(220\) −6.92787 6.92787i −0.0314903 0.0314903i
\(221\) 224.425 78.5296i 1.01550 0.355338i
\(222\) −2.25527 + 1.41708i −0.0101589 + 0.00638324i
\(223\) 258.623 124.546i 1.15974 0.558503i 0.247796 0.968812i \(-0.420294\pi\)
0.911946 + 0.410310i \(0.134579\pi\)
\(224\) −121.998 42.6889i −0.544633 0.190575i
\(225\) −179.722 + 41.0204i −0.798764 + 0.182313i
\(226\) 140.274 175.898i 0.620680 0.778309i
\(227\) −260.334 326.448i −1.14684 1.43810i −0.880390 0.474251i \(-0.842719\pi\)
−0.266455 0.963847i \(-0.585852\pi\)
\(228\) 1.02523 4.49184i 0.00449663 0.0197010i
\(229\) −188.462 118.419i −0.822980 0.517113i 0.0534903 0.998568i \(-0.482965\pi\)
−0.876470 + 0.481456i \(0.840108\pi\)
\(230\) 184.044 + 20.7368i 0.800191 + 0.0901599i
\(231\) 0.803230i 0.00347718i
\(232\) 86.4190 10.0113i 0.372496 0.0431521i
\(233\) −278.251 −1.19421 −0.597106 0.802162i \(-0.703683\pi\)
−0.597106 + 0.802162i \(0.703683\pi\)
\(234\) −22.3698 + 198.538i −0.0955976 + 0.848453i
\(235\) −72.1913 + 114.892i −0.307197 + 0.488901i
\(236\) 235.517 + 53.7553i 0.997955 + 0.227777i
\(237\) 3.48173 2.77658i 0.0146908 0.0117155i
\(238\) −192.467 153.487i −0.808684 0.644904i
\(239\) 50.5445 + 221.450i 0.211483 + 0.926568i 0.963560 + 0.267493i \(0.0861951\pi\)
−0.752077 + 0.659075i \(0.770948\pi\)
\(240\) 1.97952 5.65714i 0.00824799 0.0235714i
\(241\) −42.8849 89.0514i −0.177946 0.369508i 0.792850 0.609417i \(-0.208597\pi\)
−0.970795 + 0.239909i \(0.922882\pi\)
\(242\) −164.865 262.382i −0.681261 1.08422i
\(243\) 11.7713 + 33.6405i 0.0484417 + 0.138438i
\(244\) 144.967 144.967i 0.594128 0.594128i
\(245\) −34.5763 + 71.7985i −0.141128 + 0.293055i
\(246\) 12.4451 1.40222i 0.0505897 0.00570009i
\(247\) −10.4408 92.6645i −0.0422704 0.375160i
\(248\) −95.7084 46.0907i −0.385921 0.185850i
\(249\) 3.52564 + 3.52564i 0.0141592 + 0.0141592i
\(250\) −237.830 + 83.2203i −0.951320 + 0.332881i
\(251\) 194.960 122.502i 0.776734 0.488055i −0.0844001 0.996432i \(-0.526897\pi\)
0.861134 + 0.508377i \(0.169755\pi\)
\(252\) 77.6079 37.3740i 0.307968 0.148309i
\(253\) −51.3017 17.9512i −0.202774 0.0709535i
\(254\) −491.445 + 112.169i −1.93482 + 0.441611i
\(255\) 5.42449 6.80210i 0.0212725 0.0266749i
\(256\) 209.089 + 262.189i 0.816753 + 1.02418i
\(257\) −28.4685 + 124.729i −0.110772 + 0.485325i 0.888859 + 0.458181i \(0.151499\pi\)
−0.999632 + 0.0271449i \(0.991358\pi\)
\(258\) −18.2634 11.4756i −0.0707883 0.0444793i
\(259\) 23.0957 + 2.60226i 0.0891726 + 0.0100473i
\(260\) 51.2791i 0.197227i
\(261\) −161.701 + 204.075i −0.619544 + 0.781895i
\(262\) 662.850 2.52996
\(263\) 49.1255 436.001i 0.186789 1.65780i −0.454685 0.890653i \(-0.650248\pi\)
0.641473 0.767145i \(-0.278323\pi\)
\(264\) −0.381382 + 0.606966i −0.00144463 + 0.00229911i
\(265\) 74.0391 + 16.8989i 0.279393 + 0.0637696i
\(266\) −75.4842 + 60.1967i −0.283775 + 0.226303i
\(267\) −7.23416 5.76905i −0.0270942 0.0216069i
\(268\) 21.1400 + 92.6205i 0.0788807 + 0.345599i
\(269\) −9.97216 + 28.4988i −0.0370712 + 0.105944i −0.960931 0.276787i \(-0.910730\pi\)
0.923860 + 0.382730i \(0.125016\pi\)
\(270\) 6.35165 + 13.1893i 0.0235246 + 0.0488494i
\(271\) −151.857 241.680i −0.560359 0.891807i 0.439620 0.898184i \(-0.355113\pi\)
−0.999980 + 0.00637705i \(0.997970\pi\)
\(272\) 178.039 + 508.806i 0.654555 + 1.87061i
\(273\) −2.97269 + 2.97269i −0.0108890 + 0.0108890i
\(274\) −130.583 + 271.159i −0.476581 + 0.989632i
\(275\) 33.1342 3.73333i 0.120488 0.0135757i
\(276\) 1.57369 + 13.9669i 0.00570176 + 0.0506046i
\(277\) 43.1264 + 20.7686i 0.155691 + 0.0749769i 0.510107 0.860111i \(-0.329606\pi\)
−0.354416 + 0.935088i \(0.615320\pi\)
\(278\) 154.826 + 154.826i 0.556929 + 0.556929i
\(279\) 300.088 105.005i 1.07559 0.376364i
\(280\) −18.0479 + 11.3402i −0.0644567 + 0.0405008i
\(281\) 233.726 112.557i 0.831765 0.400557i 0.0309882 0.999520i \(-0.490135\pi\)
0.800777 + 0.598963i \(0.204420\pi\)
\(282\) −23.3410 8.16737i −0.0827695 0.0289623i
\(283\) −291.071 + 66.4350i −1.02852 + 0.234753i −0.703305 0.710888i \(-0.748293\pi\)
−0.325213 + 0.945641i \(0.605436\pi\)
\(284\) 8.80683 11.0434i 0.0310100 0.0388853i
\(285\) −2.12745 2.66774i −0.00746474 0.00936048i
\(286\) 8.04158 35.2324i 0.0281174 0.123190i
\(287\) −92.5323 58.1419i −0.322412 0.202585i
\(288\) −343.058 38.6533i −1.19117 0.134213i
\(289\) 493.502i 1.70762i
\(290\) −84.9562 + 136.152i −0.292952 + 0.469489i
\(291\) −5.92527 −0.0203618
\(292\) 23.8799 211.940i 0.0817804 0.725821i
\(293\) 86.6122 137.842i 0.295605 0.470452i −0.665592 0.746316i \(-0.731821\pi\)
0.961197 + 0.275864i \(0.0889638\pi\)
\(294\) −14.1590 3.23170i −0.0481598 0.0109922i
\(295\) 139.876 111.547i 0.474155 0.378126i
\(296\) −16.2168 12.9325i −0.0547866 0.0436909i
\(297\) −0.955954 4.18831i −0.00321870 0.0141020i
\(298\) −0.804857 + 2.30015i −0.00270086 + 0.00771862i
\(299\) 123.428 + 256.300i 0.412802 + 0.857191i
\(300\) −4.58752 7.30100i −0.0152917 0.0243367i
\(301\) 62.1634 + 177.653i 0.206523 + 0.590209i
\(302\) −310.069 + 310.069i −1.02672 + 1.02672i
\(303\) −4.26748 + 8.86152i −0.0140841 + 0.0292459i
\(304\) 210.085 23.6709i 0.691069 0.0778648i
\(305\) −16.9998 150.877i −0.0557371 0.494680i
\(306\) −592.415 285.292i −1.93600 0.932326i
\(307\) −308.959 308.959i −1.00638 1.00638i −0.999980 0.00640010i \(-0.997963\pi\)
−0.00640010 0.999980i \(-0.502037\pi\)
\(308\) −14.7062 + 5.14594i −0.0477476 + 0.0167076i
\(309\) 14.8759 9.34716i 0.0481421 0.0302497i
\(310\) 176.553 85.0235i 0.569526 0.274269i
\(311\) 138.716 + 48.5389i 0.446033 + 0.156074i 0.543944 0.839122i \(-0.316930\pi\)
−0.0979112 + 0.995195i \(0.531216\pi\)
\(312\) 3.65780 0.834870i 0.0117237 0.00267587i
\(313\) 191.897 240.631i 0.613089 0.768789i −0.374265 0.927322i \(-0.622105\pi\)
0.987354 + 0.158533i \(0.0506763\pi\)
\(314\) −344.166 431.571i −1.09607 1.37443i
\(315\) 14.1953 62.1938i 0.0450645 0.197441i
\(316\) −73.1421 45.9582i −0.231462 0.145437i
\(317\) −304.859 34.3493i −0.961699 0.108357i −0.382866 0.923804i \(-0.625063\pi\)
−0.578833 + 0.815446i \(0.696492\pi\)
\(318\) 13.8402i 0.0435227i
\(319\) 33.1973 33.4059i 0.104067 0.104721i
\(320\) −49.8534 −0.155792
\(321\) −2.03859 + 18.0930i −0.00635074 + 0.0563644i
\(322\) 156.699 249.386i 0.486644 0.774490i
\(323\) 299.198 + 68.2899i 0.926309 + 0.211424i
\(324\) 179.445 143.103i 0.553843 0.441675i
\(325\) −136.444 108.811i −0.419828 0.334802i
\(326\) 143.972 + 630.784i 0.441633 + 1.93492i
\(327\) 9.68228 27.6704i 0.0296094 0.0846189i
\(328\) 42.3163 + 87.8706i 0.129013 + 0.267898i
\(329\) 114.803 + 182.708i 0.348945 + 0.555344i
\(330\) −0.436746 1.24815i −0.00132347 0.00378227i
\(331\) 403.766 403.766i 1.21984 1.21984i 0.252147 0.967689i \(-0.418863\pi\)
0.967689 0.252147i \(-0.0811368\pi\)
\(332\) 41.9633 87.1377i 0.126395 0.262463i
\(333\) 61.6885 6.95062i 0.185251 0.0208727i
\(334\) −36.9734 328.148i −0.110699 0.982478i
\(335\) 63.3903 + 30.5272i 0.189225 + 0.0911258i
\(336\) −6.73957 6.73957i −0.0200582 0.0200582i
\(337\) −145.066 + 50.7607i −0.430462 + 0.150625i −0.536809 0.843704i \(-0.680370\pi\)
0.106347 + 0.994329i \(0.466085\pi\)
\(338\) 214.478 134.766i 0.634551 0.398715i
\(339\) 11.3923 5.48626i 0.0336057 0.0161836i
\(340\) −159.291 55.7384i −0.468504 0.163937i
\(341\) −56.0648 + 12.7964i −0.164413 + 0.0375262i
\(342\) −160.785 + 201.618i −0.470132 + 0.589527i
\(343\) 181.709 + 227.856i 0.529763 + 0.664302i
\(344\) 37.3773 163.760i 0.108655 0.476048i
\(345\) 8.81370 + 5.53802i 0.0255470 + 0.0160522i
\(346\) 313.522 + 35.3255i 0.906134 + 0.102097i
\(347\) 133.826i 0.385665i 0.981232 + 0.192833i \(0.0617675\pi\)
−0.981232 + 0.192833i \(0.938233\pi\)
\(348\) −11.5080 3.98640i −0.0330688 0.0114552i
\(349\) 302.341 0.866306 0.433153 0.901320i \(-0.357401\pi\)
0.433153 + 0.901320i \(0.357401\pi\)
\(350\) −20.2308 + 179.553i −0.0578022 + 0.513009i
\(351\) −11.9627 + 19.0385i −0.0340818 + 0.0542409i
\(352\) 60.8789 + 13.8952i 0.172951 + 0.0394750i
\(353\) −228.144 + 181.939i −0.646300 + 0.515407i −0.890890 0.454220i \(-0.849918\pi\)
0.244590 + 0.969627i \(0.421347\pi\)
\(354\) 25.4916 + 20.3288i 0.0720100 + 0.0574261i
\(355\) −2.32777 10.1986i −0.00655709 0.0287285i
\(356\) −59.2788 + 169.409i −0.166514 + 0.475869i
\(357\) −6.00305 12.4655i −0.0168153 0.0349172i
\(358\) −134.422 213.931i −0.375480 0.597573i
\(359\) −91.7727 262.271i −0.255634 0.730561i −0.998154 0.0607363i \(-0.980655\pi\)
0.742520 0.669824i \(-0.233631\pi\)
\(360\) −40.2571 + 40.2571i −0.111825 + 0.111825i
\(361\) −104.409 + 216.808i −0.289222 + 0.600577i
\(362\) 293.477 33.0669i 0.810709 0.0913450i
\(363\) −1.94997 17.3064i −0.00537181 0.0476761i
\(364\) 73.4715 + 35.3820i 0.201845 + 0.0972033i
\(365\) −111.690 111.690i −0.306001 0.306001i
\(366\) 26.1178 9.13901i 0.0713600 0.0249700i
\(367\) −333.384 + 209.479i −0.908402 + 0.570787i −0.903210 0.429200i \(-0.858796\pi\)
−0.00519258 + 0.999987i \(0.501653\pi\)
\(368\) −581.073 + 279.830i −1.57900 + 0.760408i
\(369\) −275.513 96.4063i −0.746649 0.261264i
\(370\) 37.3036 8.51431i 0.100821 0.0230116i
\(371\) 75.2986 94.4214i 0.202961 0.254505i
\(372\) 9.27197 + 11.6267i 0.0249246 + 0.0312545i
\(373\) −140.557 + 615.820i −0.376828 + 1.65099i 0.330278 + 0.943884i \(0.392857\pi\)
−0.707106 + 0.707107i \(0.750000\pi\)
\(374\) 100.704 + 63.2763i 0.269261 + 0.169188i
\(375\) −14.0723 1.58557i −0.0375261 0.00422818i
\(376\) 192.574i 0.512166i
\(377\) −246.494 + 0.772011i −0.653829 + 0.00204778i
\(378\) 23.2800 0.0615872
\(379\) 15.7228 139.543i 0.0414849 0.368188i −0.955768 0.294121i \(-0.904973\pi\)
0.997253 0.0740679i \(-0.0235981\pi\)
\(380\) −35.2137 + 56.0423i −0.0926676 + 0.147480i
\(381\) −27.6204 6.30418i −0.0724946 0.0165464i
\(382\) 185.207 147.697i 0.484834 0.386642i
\(383\) 36.2240 + 28.8877i 0.0945798 + 0.0754248i 0.669638 0.742688i \(-0.266449\pi\)
−0.575058 + 0.818112i \(0.695021\pi\)
\(384\) 3.01414 + 13.2058i 0.00784933 + 0.0343902i
\(385\) −3.81104 + 10.8913i −0.00989880 + 0.0282891i
\(386\) 14.7739 + 30.6783i 0.0382743 + 0.0794774i
\(387\) 267.464 + 425.666i 0.691121 + 1.09991i
\(388\) 37.9606 + 108.485i 0.0978366 + 0.279601i
\(389\) −26.4083 + 26.4083i −0.0678878 + 0.0678878i −0.740235 0.672348i \(-0.765286\pi\)
0.672348 + 0.740235i \(0.265286\pi\)
\(390\) −3.00294 + 6.23567i −0.00769985 + 0.0159889i
\(391\) −930.321 + 104.822i −2.37934 + 0.268087i
\(392\) −12.6630 112.387i −0.0323036 0.286702i
\(393\) 33.5645 + 16.1638i 0.0854059 + 0.0411293i
\(394\) 204.357 + 204.357i 0.518673 + 0.518673i
\(395\) −60.3840 + 21.1293i −0.152871 + 0.0534919i
\(396\) −35.2370 + 22.1409i −0.0889823 + 0.0559113i
\(397\) 117.280 56.4792i 0.295416 0.142265i −0.280305 0.959911i \(-0.590436\pi\)
0.575721 + 0.817646i \(0.304721\pi\)
\(398\) 398.751 + 139.529i 1.00189 + 0.350576i
\(399\) −5.29019 + 1.20745i −0.0132586 + 0.00302619i
\(400\) 246.691 309.340i 0.616727 0.773351i
\(401\) −66.7442 83.6946i −0.166444 0.208715i 0.691613 0.722268i \(-0.256900\pi\)
−0.858058 + 0.513553i \(0.828329\pi\)
\(402\) −2.85324 + 12.5009i −0.00709761 + 0.0310967i
\(403\) 254.851 + 160.133i 0.632384 + 0.397353i
\(404\) 189.584 + 21.3610i 0.469269 + 0.0528739i
\(405\) 169.980i 0.419703i
\(406\) 136.456 + 215.666i 0.336099 + 0.531198i
\(407\) −11.2287 −0.0275890
\(408\) −1.38249 + 12.2699i −0.00338845 + 0.0300733i
\(409\) −50.0176 + 79.6026i −0.122292 + 0.194627i −0.902260 0.431193i \(-0.858093\pi\)
0.779967 + 0.625820i \(0.215236\pi\)
\(410\) −175.401 40.0341i −0.427807 0.0976442i
\(411\) −13.2246 + 10.5463i −0.0321767 + 0.0256601i
\(412\) −266.440 212.478i −0.646698 0.515724i
\(413\) −63.3094 277.377i −0.153292 0.671615i
\(414\) 259.827 742.542i 0.627601 1.79358i
\(415\) −31.0776 64.5334i −0.0748859 0.155502i
\(416\) −173.883 276.734i −0.417989 0.665225i
\(417\) 4.06440 + 11.6154i 0.00974676 + 0.0278546i
\(418\) 32.9829 32.9829i 0.0789064 0.0789064i
\(419\) 231.659 481.044i 0.552885 1.14808i −0.417981 0.908456i \(-0.637262\pi\)
0.970866 0.239622i \(-0.0770235\pi\)
\(420\) 2.96515 0.334093i 0.00705989 0.000795458i
\(421\) 34.7595 + 308.499i 0.0825641 + 0.732777i 0.964983 + 0.262312i \(0.0844851\pi\)
−0.882419 + 0.470465i \(0.844086\pi\)
\(422\) 483.752 + 232.963i 1.14633 + 0.552044i
\(423\) 407.543 + 407.543i 0.963459 + 0.963459i
\(424\) −101.732 + 35.5976i −0.239934 + 0.0839566i
\(425\) 486.314 305.571i 1.14427 0.718991i
\(426\) 1.71764 0.827173i 0.00403202 0.00194172i
\(427\) −227.903 79.7468i −0.533731 0.186761i
\(428\) 344.323 78.5894i 0.804492 0.183620i
\(429\) 1.26635 1.58796i 0.00295187 0.00370153i
\(430\) 193.193 + 242.256i 0.449286 + 0.563387i
\(431\) 115.439 505.772i 0.267840 1.17348i −0.644680 0.764452i \(-0.723009\pi\)
0.912520 0.409032i \(-0.134133\pi\)
\(432\) −43.1634 27.1214i −0.0999153 0.0627809i
\(433\) −296.513 33.4090i −0.684788 0.0771570i −0.237286 0.971440i \(-0.576258\pi\)
−0.447502 + 0.894283i \(0.647686\pi\)
\(434\) 311.626i 0.718033i
\(435\) −7.62201 + 4.82259i −0.0175219 + 0.0110864i
\(436\) −568.644 −1.30423
\(437\) −41.1105 + 364.866i −0.0940744 + 0.834933i
\(438\) 15.3152 24.3740i 0.0349662 0.0556484i
\(439\) −382.182 87.2307i −0.870575 0.198703i −0.236177 0.971710i \(-0.575895\pi\)
−0.634398 + 0.773007i \(0.718752\pi\)
\(440\) 8.05115 6.42058i 0.0182981 0.0145922i
\(441\) 264.643 + 211.046i 0.600098 + 0.478562i
\(442\) −138.516 606.878i −0.313385 1.37303i
\(443\) −96.7899 + 276.610i −0.218487 + 0.624401i 0.781513 + 0.623890i \(0.214448\pi\)
−1.00000 0.000511357i \(0.999837\pi\)
\(444\) 1.25988 + 2.61617i 0.00283757 + 0.00589227i
\(445\) 70.7188 + 112.548i 0.158919 + 0.252918i
\(446\) −248.207 709.335i −0.556518 1.59044i
\(447\) −0.0968452 + 0.0968452i −0.000216656 + 0.000216656i
\(448\) −34.3983 + 71.4288i −0.0767819 + 0.159439i
\(449\) −250.577 + 28.2332i −0.558078 + 0.0628803i −0.386498 0.922290i \(-0.626316\pi\)
−0.171579 + 0.985170i \(0.554887\pi\)
\(450\) 54.0363 + 479.585i 0.120081 + 1.06575i
\(451\) 47.5687 + 22.9079i 0.105474 + 0.0507936i
\(452\) −173.433 173.433i −0.383701 0.383701i
\(453\) −23.2620 + 8.13973i −0.0513510 + 0.0179685i
\(454\) −925.592 + 581.588i −2.03875 + 1.28103i
\(455\) 54.4123 26.2036i 0.119588 0.0575903i
\(456\) 4.57088 + 1.59942i 0.0100239 + 0.00350750i
\(457\) 705.200 160.957i 1.54311 0.352204i 0.635525 0.772080i \(-0.280784\pi\)
0.907581 + 0.419876i \(0.137927\pi\)
\(458\) −363.320 + 455.588i −0.793274 + 0.994735i
\(459\) −46.1375 57.8546i −0.100517 0.126045i
\(460\) 44.9295 196.849i 0.0976728 0.427932i
\(461\) −216.528 136.054i −0.469693 0.295128i 0.276312 0.961068i \(-0.410888\pi\)
−0.746005 + 0.665940i \(0.768031\pi\)
\(462\) −2.08967 0.235449i −0.00452309 0.000509630i
\(463\) 184.621i 0.398750i 0.979923 + 0.199375i \(0.0638912\pi\)
−0.979923 + 0.199375i \(0.936109\pi\)
\(464\) −1.75027 558.840i −0.00377214 1.20440i
\(465\) 11.0134 0.0236847
\(466\) −81.5632 + 723.893i −0.175028 + 1.55342i
\(467\) 49.4154 78.6442i 0.105815 0.168403i −0.789620 0.613596i \(-0.789722\pi\)
0.895434 + 0.445193i \(0.146865\pi\)
\(468\) 212.351 + 48.4678i 0.453742 + 0.103564i
\(469\) 87.4772 69.7607i 0.186519 0.148744i
\(470\) 277.739 + 221.489i 0.590934 + 0.471254i
\(471\) −6.90343 30.2459i −0.0146570 0.0642164i
\(472\) −83.8612 + 239.662i −0.177672 + 0.507758i
\(473\) −39.4537 81.9265i −0.0834116 0.173206i
\(474\) −6.20292 9.87189i −0.0130863 0.0208268i
\(475\) −74.3971 212.615i −0.156626 0.447610i
\(476\) −189.770 + 189.770i −0.398676 + 0.398676i
\(477\) 139.960 290.630i 0.293417 0.609287i
\(478\) 590.935 66.5824i 1.23627 0.139294i
\(479\) 25.3827 + 225.277i 0.0529910 + 0.470308i 0.991983 + 0.126370i \(0.0403325\pi\)
−0.938992 + 0.343938i \(0.888239\pi\)
\(480\) −10.7747 5.18884i −0.0224474 0.0108101i
\(481\) 41.5568 + 41.5568i 0.0863966 + 0.0863966i
\(482\) −244.245 + 85.4651i −0.506733 + 0.177313i
\(483\) 14.0161 8.80690i 0.0290188 0.0182337i
\(484\) −304.369 + 146.576i −0.628862 + 0.302844i
\(485\) 80.3432 + 28.1133i 0.165656 + 0.0579656i
\(486\) 90.9690 20.7631i 0.187179 0.0427224i
\(487\) −370.896 + 465.089i −0.761593 + 0.955007i −0.999869 0.0161901i \(-0.994846\pi\)
0.238276 + 0.971197i \(0.423418\pi\)
\(488\) 134.352 + 168.472i 0.275312 + 0.345230i
\(489\) −8.09161 + 35.4517i −0.0165473 + 0.0724983i
\(490\) 176.654 + 110.999i 0.360519 + 0.226529i
\(491\) 626.759 + 70.6187i 1.27649 + 0.143826i 0.724064 0.689733i \(-0.242272\pi\)
0.552430 + 0.833559i \(0.313701\pi\)
\(492\) 13.6533i 0.0277505i
\(493\) 265.531 766.536i 0.538602 1.55484i
\(494\) −244.135 −0.494200
\(495\) −3.45077 + 30.6264i −0.00697124 + 0.0618715i
\(496\) −363.048 + 577.787i −0.731951 + 1.16489i
\(497\) −16.2185 3.70176i −0.0326327 0.00744821i
\(498\) 10.2057 8.13876i 0.0204933 0.0163429i
\(499\) 203.883 + 162.591i 0.408583 + 0.325834i 0.806120 0.591752i \(-0.201564\pi\)
−0.397537 + 0.917586i \(0.630135\pi\)
\(500\) 61.1250 + 267.806i 0.122250 + 0.535612i
\(501\) 6.12979 17.5179i 0.0122351 0.0349659i
\(502\) −261.550 543.114i −0.521015 1.08190i
\(503\) 327.270 + 520.847i 0.650636 + 1.03548i 0.995308 + 0.0967578i \(0.0308472\pi\)
−0.344672 + 0.938723i \(0.612010\pi\)
\(504\) 29.9025 + 85.4563i 0.0593303 + 0.169556i
\(505\) 99.9093 99.9093i 0.197840 0.197840i
\(506\) −61.7396 + 128.204i −0.122015 + 0.253367i
\(507\) 14.1468 1.59396i 0.0279029 0.00314391i
\(508\) 61.5293 + 546.088i 0.121121 + 1.07498i
\(509\) 548.973 + 264.372i 1.07853 + 0.519394i 0.886847 0.462063i \(-0.152890\pi\)
0.191685 + 0.981456i \(0.438605\pi\)
\(510\) −16.1061 16.1061i −0.0315807 0.0315807i
\(511\) −237.092 + 82.9622i −0.463977 + 0.162353i
\(512\) 431.605 271.195i 0.842978 0.529678i
\(513\) −26.1478 + 12.5921i −0.0509704 + 0.0245460i
\(514\) 316.147 + 110.625i 0.615071 + 0.215223i
\(515\) −246.057 + 56.1610i −0.477782 + 0.109051i
\(516\) −14.6612 + 18.3845i −0.0284131 + 0.0356289i
\(517\) −64.9988 81.5060i −0.125723 0.157652i
\(518\) 13.5400 59.3225i 0.0261390 0.114522i
\(519\) 15.0143 + 9.43412i 0.0289293 + 0.0181775i
\(520\) −53.5588 6.03463i −0.102998 0.0116051i
\(521\) 862.957i 1.65635i −0.560472 0.828174i \(-0.689380\pi\)
0.560472 0.828174i \(-0.310620\pi\)
\(522\) 483.517 + 480.498i 0.926279 + 0.920495i
\(523\) −212.873 −0.407023 −0.203512 0.979073i \(-0.565235\pi\)
−0.203512 + 0.979073i \(0.565235\pi\)
\(524\) 80.9086 718.084i 0.154406 1.37039i
\(525\) −5.40288 + 8.59864i −0.0102912 + 0.0163784i
\(526\) −1119.89 255.608i −2.12907 0.485947i
\(527\) −774.444 + 617.599i −1.46953 + 1.17191i
\(528\) 3.60015 + 2.87103i 0.00681847 + 0.00543755i
\(529\) −131.533 576.286i −0.248646 1.08939i
\(530\) 65.6669 187.665i 0.123900 0.354085i
\(531\) −329.719 684.669i −0.620940 1.28940i
\(532\) 55.9990 + 89.1219i 0.105261 + 0.167522i
\(533\) −91.2680 260.829i −0.171235 0.489360i
\(534\) −17.1292 + 17.1292i −0.0320771 + 0.0320771i
\(535\) 113.487 235.658i 0.212125 0.440481i
\(536\) −99.2259 + 11.1801i −0.185123 + 0.0208583i
\(537\) −1.58989 14.1107i −0.00296069 0.0262769i
\(538\) 71.2188 + 34.2972i 0.132377 + 0.0637494i
\(539\) −43.2932 43.2932i −0.0803214 0.0803214i
\(540\) 15.0637 5.27101i 0.0278957 0.00976113i
\(541\) 485.409 305.003i 0.897244 0.563776i −0.00259581 0.999997i \(-0.500826\pi\)
0.899840 + 0.436221i \(0.143683\pi\)
\(542\) −673.263 + 324.226i −1.24218 + 0.598203i
\(543\) 15.6670 + 5.48214i 0.0288527 + 0.0100960i
\(544\) 1048.64 239.345i 1.92764 0.439972i
\(545\) −262.572 + 329.255i −0.481783 + 0.604137i
\(546\) 6.86233 + 8.60508i 0.0125684 + 0.0157602i
\(547\) 126.015 552.109i 0.230375 1.00934i −0.718954 0.695057i \(-0.755379\pi\)
0.949330 0.314282i \(-0.101764\pi\)
\(548\) 277.815 + 174.563i 0.506962 + 0.318545i
\(549\) −640.864 72.2081i −1.16733 0.131527i
\(550\) 87.2957i 0.158719i
\(551\) −269.920 168.425i −0.489873 0.305672i
\(552\) −14.7730 −0.0267626
\(553\) −11.3908 + 101.096i −0.0205981 + 0.182813i
\(554\) 66.6727 106.109i 0.120348 0.191533i
\(555\) 2.09656 + 0.478525i 0.00377758 + 0.000862208i
\(556\) 186.626 148.829i 0.335658 0.267679i
\(557\) 476.901 + 380.316i 0.856195 + 0.682793i 0.949814 0.312815i \(-0.101272\pi\)
−0.0936187 + 0.995608i \(0.529843\pi\)
\(558\) −185.216 811.484i −0.331928 1.45427i
\(559\) −157.189 + 449.219i −0.281196 + 0.803612i
\(560\) 59.4077 + 123.361i 0.106085 + 0.220288i
\(561\) 3.55629 + 5.65980i 0.00633919 + 0.0100888i
\(562\) −224.313 641.050i −0.399134 1.14066i
\(563\) −166.697 + 166.697i −0.296087 + 0.296087i −0.839479 0.543392i \(-0.817140\pi\)
0.543392 + 0.839479i \(0.317140\pi\)
\(564\) −11.6970 + 24.2890i −0.0207393 + 0.0430657i
\(565\) −180.504 + 20.3379i −0.319475 + 0.0359962i
\(566\) 87.5151 + 776.718i 0.154620 + 1.37229i
\(567\) −243.543 117.284i −0.429529 0.206850i
\(568\) 10.4980 + 10.4980i 0.0184823 + 0.0184823i
\(569\) 398.096 139.300i 0.699641 0.244815i 0.0430621 0.999072i \(-0.486289\pi\)
0.656579 + 0.754258i \(0.272003\pi\)
\(570\) −7.56395 + 4.75275i −0.0132701 + 0.00833815i
\(571\) 436.857 210.379i 0.765074 0.368440i −0.0102962 0.999947i \(-0.503277\pi\)
0.775370 + 0.631507i \(0.217563\pi\)
\(572\) −37.1867 13.0122i −0.0650118 0.0227486i
\(573\) 12.9799 2.96258i 0.0226525 0.00517029i
\(574\) −178.385 + 223.687i −0.310775 + 0.389699i
\(575\) 428.441 + 537.248i 0.745115 + 0.934344i
\(576\) −47.1202 + 206.447i −0.0818060 + 0.358415i
\(577\) −319.262 200.606i −0.553313 0.347670i 0.226175 0.974087i \(-0.427378\pi\)
−0.779488 + 0.626417i \(0.784521\pi\)
\(578\) 1283.89 + 144.659i 2.22126 + 0.250275i
\(579\) 1.91371i 0.00330520i
\(580\) 137.127 + 108.654i 0.236426 + 0.187335i
\(581\) −113.905 −0.196050
\(582\) −1.73686 + 15.4151i −0.00298430 + 0.0264864i
\(583\) −31.0424 + 49.4037i −0.0532460 + 0.0847405i
\(584\) 218.552 + 49.8830i 0.374233 + 0.0854161i
\(585\) 126.117 100.575i 0.215585 0.171923i
\(586\) −333.220 265.734i −0.568635 0.453471i
\(587\) −99.0689 434.049i −0.168772 0.739436i −0.986490 0.163819i \(-0.947619\pi\)
0.817719 0.575618i \(-0.195238\pi\)
\(588\) −5.22926 + 14.9444i −0.00889330 + 0.0254156i
\(589\) 168.558 + 350.015i 0.286177 + 0.594254i
\(590\) −249.197 396.595i −0.422368 0.672195i
\(591\) 5.36465 + 15.3313i 0.00907724 + 0.0259413i
\(592\) −94.2158 + 94.2158i −0.159148 + 0.159148i
\(593\) −86.6242 + 179.877i −0.146078 + 0.303334i −0.961150 0.276025i \(-0.910983\pi\)
0.815073 + 0.579359i \(0.196697\pi\)
\(594\) −11.1764 + 1.25928i −0.0188156 + 0.00212000i
\(595\) 22.2536 + 197.507i 0.0374011 + 0.331944i
\(596\) 2.39357 + 1.15268i 0.00401606 + 0.00193403i
\(597\) 16.7890 + 16.7890i 0.0281222 + 0.0281222i
\(598\) 702.966 245.978i 1.17553 0.411335i
\(599\) −584.155 + 367.049i −0.975218 + 0.612770i −0.922564 0.385843i \(-0.873911\pi\)
−0.0526531 + 0.998613i \(0.516768\pi\)
\(600\) 8.16545 3.93227i 0.0136091 0.00655379i
\(601\) 770.520 + 269.617i 1.28206 + 0.448614i 0.883459 0.468509i \(-0.155209\pi\)
0.398605 + 0.917123i \(0.369494\pi\)
\(602\) 480.400 109.648i 0.798007 0.182140i
\(603\) 186.331 233.651i 0.309006 0.387481i
\(604\) 298.059 + 373.754i 0.493475 + 0.618798i
\(605\) −55.6724 + 243.917i −0.0920206 + 0.403168i
\(606\) 21.8030 + 13.6998i 0.0359786 + 0.0226069i
\(607\) −417.041 46.9893i −0.687053 0.0774123i −0.238465 0.971151i \(-0.576644\pi\)
−0.448588 + 0.893739i \(0.648073\pi\)
\(608\) 421.845i 0.693825i
\(609\) 1.65059 + 14.2482i 0.00271033 + 0.0233960i
\(610\) −397.503 −0.651644
\(611\) −61.0917 + 542.204i −0.0999864 + 0.887404i
\(612\) −381.376 + 606.956i −0.623163 + 0.991759i
\(613\) −474.629 108.331i −0.774272 0.176723i −0.182911 0.983129i \(-0.558552\pi\)
−0.591361 + 0.806407i \(0.701409\pi\)
\(614\) −894.345 + 713.216i −1.45659 + 1.16159i
\(615\) −7.90548 6.30441i −0.0128544 0.0102511i
\(616\) −3.64405 15.9656i −0.00591566 0.0259182i
\(617\) −47.1635 + 134.786i −0.0764400 + 0.218453i −0.975762 0.218834i \(-0.929775\pi\)
0.899322 + 0.437287i \(0.144060\pi\)
\(618\) −19.9568 41.4408i −0.0322926 0.0670563i
\(619\) 284.337 + 452.519i 0.459349 + 0.731049i 0.993437 0.114379i \(-0.0364880\pi\)
−0.534089 + 0.845429i \(0.679345\pi\)
\(620\) −70.5580 201.643i −0.113803 0.325231i
\(621\) 62.6032 62.6032i 0.100810 0.100810i
\(622\) 166.939 346.653i 0.268391 0.557320i
\(623\) 210.052 23.6672i 0.337162 0.0379890i
\(624\) −2.69845 23.9494i −0.00432443 0.0383804i
\(625\) −279.179 134.446i −0.446687 0.215113i
\(626\) −569.771 569.771i −0.910177 0.910177i
\(627\) 2.47444 0.865846i 0.00394648 0.00138093i
\(628\) −509.542 + 320.167i −0.811373 + 0.509819i
\(629\) −174.261 + 83.9196i −0.277044 + 0.133417i
\(630\) −157.641 55.1610i −0.250224 0.0875572i
\(631\) −615.560 + 140.498i −0.975531 + 0.222659i −0.680435 0.732809i \(-0.738209\pi\)
−0.295097 + 0.955467i \(0.595352\pi\)
\(632\) 56.6089 70.9853i 0.0895710 0.112318i
\(633\) 18.8147 + 23.5929i 0.0297231 + 0.0372716i
\(634\) −178.725 + 783.046i −0.281901 + 1.23509i
\(635\) 344.606 + 216.530i 0.542686 + 0.340992i
\(636\) 14.9935 + 1.68936i 0.0235747 + 0.00265623i
\(637\) 320.450i 0.503061i
\(638\) −77.1770 96.1576i −0.120967 0.150717i
\(639\) −44.4335 −0.0695360
\(640\) 21.7869 193.364i 0.0340420 0.302132i
\(641\) −165.562 + 263.490i −0.258287 + 0.411061i −0.950544 0.310590i \(-0.899473\pi\)
0.692257 + 0.721651i \(0.256616\pi\)
\(642\) 46.4728 + 10.6071i 0.0723875 + 0.0165220i
\(643\) 338.182 269.691i 0.525944 0.419426i −0.324191 0.945992i \(-0.605092\pi\)
0.850135 + 0.526565i \(0.176520\pi\)
\(644\) −251.040 200.197i −0.389813 0.310866i
\(645\) 3.87515 + 16.9781i 0.00600798 + 0.0263227i
\(646\) 265.365 758.369i 0.410782 1.17395i
\(647\) 363.531 + 754.879i 0.561871 + 1.16674i 0.967540 + 0.252717i \(0.0813242\pi\)
−0.405669 + 0.914020i \(0.632961\pi\)
\(648\) 128.347 + 204.263i 0.198066 + 0.315221i
\(649\) 45.3983 + 129.741i 0.0699511 + 0.199909i
\(650\) −323.075 + 323.075i −0.497038 + 0.497038i
\(651\) 7.59912 15.7797i 0.0116730 0.0242392i
\(652\) 700.920 78.9747i 1.07503 0.121127i
\(653\) −74.8295 664.130i −0.114593 1.01705i −0.911035 0.412329i \(-0.864715\pi\)
0.796441 0.604716i \(-0.206713\pi\)
\(654\) −69.1486 33.3002i −0.105732 0.0509177i
\(655\) −378.423 378.423i −0.577746 0.577746i
\(656\) 591.341 206.919i 0.901434 0.315425i
\(657\) −568.086 + 356.952i −0.864667 + 0.543306i
\(658\) 508.982 245.113i 0.773528 0.372512i
\(659\) −214.794 75.1598i −0.325940 0.114051i 0.162349 0.986733i \(-0.448093\pi\)
−0.488289 + 0.872682i \(0.662379\pi\)
\(660\) −1.40546 + 0.320788i −0.00212949 + 0.000486042i
\(661\) 806.234 1010.99i 1.21972 1.52948i 0.447274 0.894397i \(-0.352395\pi\)
0.772445 0.635082i \(-0.219034\pi\)
\(662\) −932.074 1168.78i −1.40797 1.76554i
\(663\) 7.78494 34.1081i 0.0117420 0.0514451i
\(664\) 86.0732 + 54.0834i 0.129628 + 0.0814509i
\(665\) 77.4608 + 8.72773i 0.116482 + 0.0131244i
\(666\) 162.525i 0.244032i
\(667\) 946.909 + 213.008i 1.41965 + 0.319352i
\(668\) −360.005 −0.538929
\(669\) 4.72900 41.9710i 0.00706876 0.0627370i
\(670\) 98.0003 155.967i 0.146269 0.232786i
\(671\) 113.727 + 25.9576i 0.169490 + 0.0386849i
\(672\) −14.8689 + 11.8576i −0.0221264 + 0.0176452i
\(673\) 680.365 + 542.573i 1.01094 + 0.806201i 0.981129 0.193354i \(-0.0619367\pi\)
0.0298152 + 0.999555i \(0.490508\pi\)
\(674\) 89.5353 + 392.280i 0.132842 + 0.582018i
\(675\) −17.9389 + 51.2664i −0.0265761 + 0.0759502i
\(676\) −119.816 248.800i −0.177242 0.368048i
\(677\) −96.3077 153.273i −0.142257 0.226400i 0.767995 0.640456i \(-0.221255\pi\)
−0.910251 + 0.414056i \(0.864112\pi\)
\(678\) −10.9335 31.2462i −0.0161262 0.0460859i
\(679\) 95.7160 95.7160i 0.140966 0.140966i
\(680\) 76.9621 159.813i 0.113180 0.235020i
\(681\) −61.0512 + 6.87882i −0.0896493 + 0.0101011i
\(682\) 16.8568 + 149.608i 0.0247167 + 0.219367i
\(683\) −92.8083 44.6941i −0.135883 0.0654380i 0.364707 0.931122i \(-0.381169\pi\)
−0.500590 + 0.865685i \(0.666884\pi\)
\(684\) 198.793 + 198.793i 0.290633 + 0.290633i
\(685\) 229.356 80.2552i 0.334827 0.117161i
\(686\) 646.049 405.939i 0.941762 0.591748i
\(687\) −29.5070 + 14.2098i −0.0429505 + 0.0206839i
\(688\) −1018.45 356.372i −1.48031 0.517982i
\(689\) 297.725 67.9539i 0.432112 0.0986268i
\(690\) 16.9911 21.3062i 0.0246248 0.0308786i
\(691\) 3.30579 + 4.14533i 0.00478407 + 0.00599903i 0.784218 0.620486i \(-0.213065\pi\)
−0.779434 + 0.626485i \(0.784493\pi\)
\(692\) 76.5382 335.336i 0.110604 0.484589i
\(693\) 41.4998 + 26.0760i 0.0598843 + 0.0376278i
\(694\) 348.159 + 39.2281i 0.501670 + 0.0565246i
\(695\) 176.782i 0.254362i
\(696\) 5.51790 11.5504i 0.00792802 0.0165955i
\(697\) 909.433 1.30478
\(698\) 88.6245 786.564i 0.126969 1.12688i
\(699\) −21.7825 + 34.6666i −0.0311624 + 0.0495946i
\(700\) 192.046 + 43.8331i 0.274351 + 0.0626188i
\(701\) −685.038 + 546.300i −0.977230 + 0.779315i −0.975346 0.220683i \(-0.929171\pi\)
−0.00188473 + 0.999998i \(0.500600\pi\)
\(702\) 46.0237 + 36.7027i 0.0655608 + 0.0522830i
\(703\) 16.8796 + 73.9542i 0.0240107 + 0.105198i
\(704\) 12.6504 36.1528i 0.0179693 0.0513535i
\(705\) 8.66269 + 17.9883i 0.0122875 + 0.0255153i
\(706\) 406.453 + 646.866i 0.575712 + 0.916241i
\(707\) −74.2114 212.084i −0.104967 0.299977i
\(708\) 25.1344 25.1344i 0.0355005 0.0355005i
\(709\) −461.567 + 958.454i −0.651011 + 1.35184i 0.270210 + 0.962801i \(0.412907\pi\)
−0.921222 + 0.389038i \(0.872808\pi\)
\(710\) −27.2149 + 3.06638i −0.0383308 + 0.00431884i
\(711\) 30.4247 + 270.026i 0.0427914 + 0.379784i
\(712\) −169.965 81.8506i −0.238714 0.114959i
\(713\) −838.009 838.009i −1.17533 1.17533i
\(714\) −34.1896 + 11.9634i −0.0478845 + 0.0167555i
\(715\) −24.7053 + 15.5234i −0.0345529 + 0.0217110i
\(716\) −248.165 + 119.510i −0.346600 + 0.166914i
\(717\) 31.5467 + 11.0387i 0.0439981 + 0.0153956i
\(718\) −709.221 + 161.875i −0.987773 + 0.225453i
\(719\) 273.918 343.482i 0.380971 0.477722i −0.553965 0.832540i \(-0.686886\pi\)
0.934935 + 0.354818i \(0.115457\pi\)
\(720\) 228.020 + 285.927i 0.316694 + 0.397121i
\(721\) −89.3107 + 391.296i −0.123871 + 0.542713i
\(722\) 533.439 + 335.182i 0.738835 + 0.464241i
\(723\) −14.4519 1.62833i −0.0199887 0.00225219i
\(724\) 321.968i 0.444707i
\(725\) −580.083 + 134.313i −0.800114 + 0.185259i
\(726\) −45.5957 −0.0628040
\(727\) 110.794 983.327i 0.152399 1.35258i −0.651876 0.758325i \(-0.726018\pi\)
0.804276 0.594256i \(-0.202554\pi\)
\(728\) −45.6013 + 72.5740i −0.0626391 + 0.0996896i
\(729\) −700.485 159.881i −0.960884 0.219316i
\(730\) −323.311 + 257.832i −0.442892 + 0.353194i
\(731\) −1224.58 976.568i −1.67521 1.33593i
\(732\) −6.71256 29.4097i −0.00917017 0.0401771i
\(733\) 228.839 653.984i 0.312195 0.892202i −0.675714 0.737164i \(-0.736164\pi\)
0.987909 0.155038i \(-0.0495499\pi\)
\(734\) 447.252 + 928.728i 0.609335 + 1.26530i
\(735\) 6.23843 + 9.92841i 0.00848767 + 0.0135080i
\(736\) 425.031 + 1214.67i 0.577488 + 1.65037i
\(737\) −38.2232 + 38.2232i −0.0518633 + 0.0518633i
\(738\) −331.569 + 688.511i −0.449281 + 0.932942i
\(739\) 96.2273 10.8422i 0.130213 0.0146715i −0.0466175 0.998913i \(-0.514844\pi\)
0.176830 + 0.984241i \(0.443416\pi\)
\(740\) −4.67044 41.4513i −0.00631141 0.0560153i
\(741\) −12.3622 5.95331i −0.0166831 0.00803415i
\(742\) −223.573 223.573i −0.301311 0.301311i
\(743\) −374.477 + 131.035i −0.504007 + 0.176360i −0.570294 0.821441i \(-0.693171\pi\)
0.0662864 + 0.997801i \(0.478885\pi\)
\(744\) −13.2347 + 8.31592i −0.0177886 + 0.0111773i
\(745\) 1.77266 0.853668i 0.00237941 0.00114586i
\(746\) 1560.90 + 546.184i 2.09236 + 0.732150i
\(747\) −296.612 + 67.6998i −0.397071 + 0.0906289i
\(748\) 80.8411 101.372i 0.108076 0.135523i
\(749\) −259.340 325.202i −0.346249 0.434182i
\(750\) −8.24996 + 36.1454i −0.0109999 + 0.0481939i
\(751\) 121.033 + 76.0501i 0.161163 + 0.101265i 0.610199 0.792249i \(-0.291090\pi\)
−0.449036 + 0.893514i \(0.648233\pi\)
\(752\) −1229.26 138.505i −1.63466 0.184182i
\(753\) 33.8795i 0.0449926i
\(754\) −70.2456 + 641.499i −0.0931640 + 0.850794i
\(755\) 354.039 0.468926
\(756\) 2.84159 25.2198i 0.00375872 0.0333596i
\(757\) −365.032 + 580.945i −0.482209 + 0.767431i −0.995892 0.0905488i \(-0.971138\pi\)
0.513683 + 0.857980i \(0.328281\pi\)
\(758\) −358.425 81.8081i −0.472856 0.107926i
\(759\) −6.25258 + 4.98626i −0.00823791 + 0.00656952i
\(760\) −54.3897 43.3744i −0.0715654 0.0570715i