Properties

Label 29.3.f.a.14.4
Level $29$
Weight $3$
Character 29.14
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 14.4
Character \(\chi\) \(=\) 29.14
Dual form 29.3.f.a.27.4

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

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{28}\right)\)

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 0.824581 + 0.565744i \(0.191411\pi\)
−0.678017 + 0.735046i \(0.737160\pi\)
\(3\) 0.0782835 + 0.124587i 0.0260945 + 0.0415291i 0.859517 0.511107i \(-0.170765\pi\)
−0.833422 + 0.552637i \(0.813622\pi\)
\(4\) −2.78259 + 0.635107i −0.695647 + 0.158777i
\(5\) −1.65260 1.31790i −0.330520 0.263581i 0.444142 0.895956i \(-0.353509\pi\)
−0.774662 + 0.632375i \(0.782080\pi\)
\(6\) −0.301177 + 0.240181i −0.0501962 + 0.0400301i
\(7\) 0.747987 3.27715i 0.106855 0.468164i −0.892981 0.450094i \(-0.851391\pi\)
0.999837 0.0180702i \(-0.00575225\pi\)
\(8\) 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 −0.965689 0.259703i \(-0.916375\pi\)
0.916928 + 0.399053i \(0.130661\pi\)
\(12\) −0.296957 0.296957i −0.0247464 0.0247464i
\(13\) −3.68793 7.65807i −0.283687 0.589082i 0.709620 0.704584i \(-0.248867\pi\)
−0.993307 + 0.115502i \(0.963152\pi\)
\(14\) 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 −0.179837 + 0.983696i \(0.557557\pi\)
−0.983696 + 0.179837i \(0.942443\pi\)
\(18\) 22.1866 + 7.76344i 1.23259 + 0.431302i
\(19\) −9.28934 5.83688i −0.488913 0.307204i 0.264920 0.964270i \(-0.414654\pi\)
−0.753833 + 0.657066i \(0.771797\pi\)
\(20\) 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 0.989996 + 0.141095i \(0.0450623\pi\)
−0.0827374 + 0.996571i \(0.526366\pi\)
\(24\) −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 0.879639 + 0.475642i \(0.157784\pi\)
−0.751744 + 0.659455i \(0.770787\pi\)
\(32\) −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 0.970614 0.240641i \(-0.0773577\pi\)
−0.908894 + 0.417027i \(0.863072\pi\)
\(38\) 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 0.368808 0.929506i \(-0.379766\pi\)
−0.929506 + 0.368808i \(0.879766\pi\)
\(42\) 0.561831 + 1.16665i 0.0133769 + 0.0277775i
\(43\) 55.6405 + 6.26918i 1.29397 + 0.145795i 0.731965 0.681342i \(-0.238603\pi\)
0.562000 + 0.827137i \(0.310032\pi\)
\(44\) 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 0.885858 0.463957i \(-0.153571\pi\)
0.403319 + 0.915059i \(0.367856\pi\)
\(48\) −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 −0.946880 0.321586i \(-0.895784\pi\)
0.524224 + 0.851580i \(0.324355\pi\)
\(54\) 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 −0.997652 0.0684897i \(-0.978182\pi\)
0.371158 0.928570i \(-0.378961\pi\)
\(62\) −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 −0.980507 0.196483i \(-0.937048\pi\)
0.764953 + 0.644086i \(0.222762\pi\)
\(68\) 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 0.885300 0.465021i \(-0.153953\pi\)
−0.915543 + 0.402220i \(0.868239\pi\)
\(72\) 26.7647 + 3.01566i 0.371733 + 0.0418842i
\(73\) 8.36674 74.2568i 0.114613 1.01722i −0.796381 0.604796i \(-0.793255\pi\)
0.910993 0.412421i \(-0.135317\pi\)
\(74\) −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 −0.143358 0.989671i \(-0.545790\pi\)
0.504968 + 0.863138i \(0.331504\pi\)
\(80\) 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 0.908975 0.416850i \(-0.136866\pi\)
−0.999823 + 0.0188210i \(0.994009\pi\)
\(84\) −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 0.969189 + 0.246317i \(0.0792204\pi\)
−0.890079 + 0.455806i \(0.849351\pi\)
\(90\) −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 −0.938718 0.344685i \(-0.887986\pi\)
0.717845 + 0.696202i \(0.245128\pi\)
\(98\) −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 −0.223176 0.974778i \(-0.571643\pi\)
−0.434489 + 0.900677i \(0.643071\pi\)
\(102\) 1.20651 10.7081i 0.0118286 0.104981i
\(103\) 107.577 51.8063i 1.04444 0.502974i 0.168651 0.985676i \(-0.446059\pi\)
0.875785 + 0.482702i \(0.160344\pi\)
\(104\) 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 −0.166977 0.985961i \(-0.553401\pi\)
−0.874964 + 0.484189i \(0.839115\pi\)
\(108\) −7.12650 + 2.49367i −0.0659862 + 0.0230896i
\(109\) 194.239 + 44.3338i 1.78201 + 0.406732i 0.981326 0.192353i \(-0.0616118\pi\)
0.800685 + 0.599085i \(0.204469\pi\)
\(110\) 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 −0.170108 0.985425i \(-0.554412\pi\)
0.814031 + 0.580822i \(0.197269\pi\)
\(114\) 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 0.365244 + 0.930912i \(0.380986\pi\)
−0.865973 + 0.500090i \(0.833300\pi\)
\(128\) −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 −0.147395 0.989078i \(-0.547089\pi\)
0.363790 0.931481i \(-0.381483\pi\)
\(132\) 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 −0.695814 0.718222i \(-0.744956\pi\)
−0.0962049 + 0.995362i \(0.530670\pi\)
\(138\) −12.5693 2.86886i −0.0910819 0.0207888i
\(139\) −52.1449 65.3877i −0.375143 0.470415i 0.558041 0.829814i \(-0.311553\pi\)
−0.933184 + 0.359399i \(0.882982\pi\)
\(140\) 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 −0.225565 0.974228i \(-0.572423\pi\)
0.219475 + 0.975618i \(0.429566\pi\)
\(150\) 6.18378 + 4.93140i 0.0412252 + 0.0328760i
\(151\) −130.951 + 104.430i −0.867227 + 0.691590i −0.952425 0.304774i \(-0.901419\pi\)
0.0851980 + 0.996364i \(0.472848\pi\)
\(152\) 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 0.998790 0.0491756i \(-0.0156594\pi\)
−0.0491756 + 0.998790i \(0.515659\pi\)
\(158\) 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 −0.500142 0.865943i \(-0.666719\pi\)
−0.930934 + 0.365189i \(0.881005\pi\)
\(164\) 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 0.574221 0.818700i \(-0.305305\pi\)
0.162135 + 0.986769i \(0.448162\pi\)
\(168\) 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 \(-0.886759\pi\)
0.937383 0.348301i \(-0.113241\pi\)
\(174\) 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 0.811167 0.584814i \(-0.198833\pi\)
−0.389650 + 0.920963i \(0.627404\pi\)
\(180\) 42.3487 33.7720i 0.235271 0.187622i
\(181\) 25.1019 109.979i 0.138685 0.607618i −0.857040 0.515250i \(-0.827699\pi\)
0.995725 0.0923680i \(-0.0294436\pi\)
\(182\) −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 −0.519494 0.854474i \(-0.673880\pi\)
0.854474 + 0.519494i \(0.173880\pi\)
\(192\) 3.27560 + 1.14618i 0.0170604 + 0.00596969i
\(193\) −11.0125 6.91962i −0.0570597 0.0358530i 0.503200 0.864170i \(-0.332156\pi\)
−0.560260 + 0.828317i \(0.689299\pi\)
\(194\) −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 0.575831 0.817569i \(-0.304679\pi\)
−0.925205 + 0.379467i \(0.876107\pi\)
\(198\) −23.8005 + 29.8449i −0.120205 + 0.150732i
\(199\) −35.9069 157.318i −0.180437 0.790545i −0.981422 0.191861i \(-0.938548\pi\)
0.800985 0.598684i \(-0.204309\pi\)
\(200\) 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 −0.985433 0.170062i \(-0.945603\pi\)
0.664411 0.747367i \(-0.268682\pi\)
\(212\) 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 0.911946 0.410310i \(-0.134579\pi\)
0.247796 + 0.968812i \(0.420294\pi\)
\(224\) −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 −0.266455 + 0.963847i \(0.585852\pi\)
−0.880390 + 0.474251i \(0.842719\pi\)
\(228\) 1.02523 + 4.49184i 0.00449663 + 0.0197010i
\(229\) −188.462 + 118.419i −0.822980 + 0.517113i −0.876470 0.481456i \(-0.840108\pi\)
0.0534903 + 0.998568i \(0.482965\pi\)
\(230\) 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 −0.752077 0.659075i \(-0.770948\pi\)
0.963560 0.267493i \(-0.0861951\pi\)
\(240\) 1.97952 + 5.65714i 0.00824799 + 0.0235714i
\(241\) −42.8849 + 89.0514i −0.177946 + 0.369508i −0.970795 0.239909i \(-0.922882\pi\)
0.792850 + 0.609417i \(0.208597\pi\)
\(242\) −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 0.861134 0.508377i \(-0.169755\pi\)
−0.0844001 + 0.996432i \(0.526897\pi\)
\(252\) 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 −0.999632 0.0271449i \(-0.991358\pi\)
0.888859 0.458181i \(-0.151499\pi\)
\(258\) −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 0.641473 + 0.767145i \(0.278323\pi\)
−0.454685 + 0.890653i \(0.650248\pi\)
\(264\) −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 0.923860 0.382730i \(-0.125016\pi\)
−0.960931 + 0.276787i \(0.910730\pi\)
\(270\) 6.35165 13.1893i 0.0235246 0.0488494i
\(271\) −151.857 + 241.680i −0.560359 + 0.891807i −0.999980 0.00637705i \(-0.997970\pi\)
0.439620 + 0.898184i \(0.355113\pi\)
\(272\) 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 −0.354416 0.935088i \(-0.615320\pi\)
0.510107 + 0.860111i \(0.329606\pi\)
\(278\) 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 0.800777 0.598963i \(-0.204420\pi\)
0.0309882 + 0.999520i \(0.490135\pi\)
\(282\) −23.3410 + 8.16737i −0.0827695 + 0.0289623i
\(283\) −291.071 66.4350i −1.02852 0.234753i −0.325213 0.945641i \(-0.605436\pi\)
−0.703305 + 0.710888i \(0.748293\pi\)
\(284\) 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 0.961197 0.275864i \(-0.0889638\pi\)
−0.665592 + 0.746316i \(0.731821\pi\)
\(294\) −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 −0.00640010 + 0.999980i \(0.502037\pi\)
−0.999980 + 0.00640010i \(0.997963\pi\)
\(308\) −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 −0.0979112 0.995195i \(-0.531216\pi\)
0.543944 + 0.839122i \(0.316930\pi\)
\(312\) 3.65780 + 0.834870i 0.0117237 + 0.00267587i
\(313\) 191.897 + 240.631i 0.613089 + 0.768789i 0.987354 0.158533i \(-0.0506763\pi\)
−0.374265 + 0.927322i \(0.622105\pi\)
\(314\) −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 −0.578833 0.815446i \(-0.696492\pi\)
−0.382866 + 0.923804i \(0.625063\pi\)
\(318\) 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 0.967689 + 0.252147i \(0.0811368\pi\)
0.252147 + 0.967689i \(0.418863\pi\)
\(332\) 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 0.106347 0.994329i \(-0.466085\pi\)
−0.536809 + 0.843704i \(0.680370\pi\)
\(338\) 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 \(-0.938233\pi\)
0.981232 0.192833i \(-0.0617675\pi\)
\(348\) −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 0.244590 0.969627i \(-0.421347\pi\)
−0.890890 + 0.454220i \(0.849918\pi\)
\(354\) 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 0.742520 + 0.669824i \(0.233631\pi\)
−0.998154 + 0.0607363i \(0.980655\pi\)
\(360\) −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 −0.00519258 0.999987i \(-0.501653\pi\)
−0.903210 + 0.429200i \(0.858796\pi\)
\(368\) −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 −0.707106 0.707107i \(-0.750000\pi\)
0.330278 0.943884i \(-0.392857\pi\)
\(374\) 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 0.997253 + 0.0740679i \(0.0235981\pi\)
−0.955768 + 0.294121i \(0.904973\pi\)
\(380\) −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 −0.575058 0.818112i \(-0.695021\pi\)
0.669638 + 0.742688i \(0.266449\pi\)
\(384\) 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 0.672348 0.740235i \(-0.265286\pi\)
−0.740235 + 0.672348i \(0.765286\pi\)
\(390\) −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 0.575721 0.817646i \(-0.304721\pi\)
−0.280305 + 0.959911i \(0.590436\pi\)
\(398\) 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 −0.858058 0.513553i \(-0.828329\pi\)
0.691613 + 0.722268i \(0.256900\pi\)
\(402\) −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 0.779967 0.625820i \(-0.215236\pi\)
−0.902260 + 0.431193i \(0.858093\pi\)
\(410\) −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 0.970866 + 0.239622i \(0.0770235\pi\)
−0.417981 + 0.908456i \(0.637262\pi\)
\(420\) 2.96515 + 0.334093i 0.00705989 + 0.000795458i
\(421\) 34.7595 308.499i 0.0825641 0.732777i −0.882419 0.470465i \(-0.844086\pi\)
0.964983 0.262312i \(-0.0844851\pi\)
\(422\) 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 0.912520 + 0.409032i \(0.134133\pi\)
−0.644680 + 0.764452i \(0.723009\pi\)
\(432\) −43.1634 + 27.1214i −0.0999153 + 0.0627809i
\(433\) −296.513 + 33.4090i −0.684788 + 0.0771570i −0.447502 0.894283i \(-0.647686\pi\)
−0.237286 + 0.971440i \(0.576258\pi\)
\(434\) 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 −0.634398 0.773007i \(-0.718752\pi\)
−0.236177 + 0.971710i \(0.575895\pi\)
\(440\) 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 −1.00000 0.000511357i \(-0.999837\pi\)
0.781513 0.623890i \(-0.214448\pi\)
\(444\) 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 −0.171579 0.985170i \(-0.554887\pi\)
−0.386498 + 0.922290i \(0.626316\pi\)
\(450\) 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 0.907581 0.419876i \(-0.137927\pi\)
0.635525 + 0.772080i \(0.280784\pi\)
\(458\) −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 −0.746005 0.665940i \(-0.768031\pi\)
0.276312 + 0.961068i \(0.410888\pi\)
\(462\) −2.08967 + 0.235449i −0.00452309 + 0.000509630i
\(463\) 184.621i 0.398750i −0.979923 0.199375i \(-0.936109\pi\)
0.979923 0.199375i \(-0.0638912\pi\)
\(464\) −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 0.895434 0.445193i \(-0.146865\pi\)
−0.789620 + 0.613596i \(0.789722\pi\)
\(468\) 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 −0.938992 0.343938i \(-0.888239\pi\)
0.991983 0.126370i \(-0.0403325\pi\)
\(480\) −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 0.238276 0.971197i \(-0.423418\pi\)
−0.999869 + 0.0161901i \(0.994846\pi\)
\(488\) 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 0.552430 0.833559i \(-0.313701\pi\)
0.724064 + 0.689733i \(0.242272\pi\)
\(492\) 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 −0.397537 0.917586i \(-0.630135\pi\)
0.806120 + 0.591752i \(0.201564\pi\)
\(500\) 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 −0.344672 0.938723i \(-0.612010\pi\)
0.995308 0.0967578i \(-0.0308472\pi\)
\(504\) 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 0.191685 0.981456i \(-0.438605\pi\)
0.886847 + 0.462063i \(0.152890\pi\)
\(510\) −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 \(0.310620\pi\)
−0.560472 + 0.828174i \(0.689380\pi\)
\(522\) 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 0.899840 0.436221i \(-0.143683\pi\)
−0.00259581 + 0.999997i \(0.500826\pi\)
\(542\) −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 0.949330 + 0.314282i \(0.101764\pi\)
−0.718954 + 0.695057i \(0.755379\pi\)
\(548\) 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 −0.0936187 0.995608i \(-0.529843\pi\)
0.949814 + 0.312815i \(0.101272\pi\)
\(558\) −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 0.543392 0.839479i \(-0.317140\pi\)
−0.839479 + 0.543392i \(0.817140\pi\)
\(564\) −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 0.656579 0.754258i \(-0.272003\pi\)
0.0430621 + 0.999072i \(0.486289\pi\)
\(570\) −7.56395 4.75275i −0.0132701 0.00833815i
\(571\) 436.857 + 210.379i 0.765074 + 0.368440i 0.775370 0.631507i \(-0.217563\pi\)
−0.0102962 + 0.999947i \(0.503277\pi\)
\(572\) −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 −0.779488 0.626417i \(-0.784521\pi\)
0.226175 + 0.974087i \(0.427378\pi\)
\(578\) 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 0.817719 + 0.575618i \(0.195238\pi\)
−0.986490 + 0.163819i \(0.947619\pi\)
\(588\) −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 0.815073 0.579359i \(-0.196697\pi\)
−0.961150 + 0.276025i \(0.910983\pi\)
\(594\) −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 −0.0526531 0.998613i \(-0.516768\pi\)
−0.922564 + 0.385843i \(0.873911\pi\)
\(600\) 8.16545 + 3.93227i 0.0136091 + 0.00655379i
\(601\) 770.520 269.617i 1.28206 0.448614i 0.398605 0.917123i \(-0.369494\pi\)
0.883459 + 0.468509i \(0.155209\pi\)
\(602\) 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 −0.448588 0.893739i \(-0.648073\pi\)
−0.238465 + 0.971151i \(0.576644\pi\)
\(608\) 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 −0.591361 0.806407i \(-0.701409\pi\)
−0.182911 + 0.983129i \(0.558552\pi\)
\(614\) −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 0.899322 0.437287i \(-0.144060\pi\)
−0.975762 + 0.218834i \(0.929775\pi\)
\(618\) −19.9568 + 41.4408i −0.0322926 + 0.0670563i
\(619\) 284.337 452.519i 0.459349 0.731049i −0.534089 0.845429i \(-0.679345\pi\)
0.993437 + 0.114379i \(0.0364880\pi\)
\(620\) −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 −0.295097 0.955467i \(-0.595352\pi\)
−0.680435 + 0.732809i \(0.738209\pi\)
\(632\) 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 0.692257 0.721651i \(-0.256616\pi\)
−0.950544 + 0.310590i \(0.899473\pi\)
\(642\) 46.4728 10.6071i 0.0723875 0.0165220i
\(643\) 338.182 + 269.691i 0.525944 + 0.419426i 0.850135 0.526565i \(-0.176520\pi\)
−0.324191 + 0.945992i \(0.605092\pi\)
\(644\) −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 −0.405669 0.914020i \(-0.632961\pi\)
0.967540 0.252717i \(-0.0813242\pi\)
\(648\) 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 0.796441 + 0.604716i \(0.206713\pi\)
−0.911035 + 0.412329i \(0.864715\pi\)
\(654\) −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 −0.488289 0.872682i \(-0.662379\pi\)
0.162349 + 0.986733i \(0.448093\pi\)
\(660\) −1.40546 0.320788i −0.00212949 0.000486042i
\(661\) 806.234 + 1010.99i 1.21972 + 1.52948i 0.772445 + 0.635082i \(0.219034\pi\)
0.447274 + 0.894397i \(0.352395\pi\)
\(662\) −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 0.0298152 0.999555i \(-0.490508\pi\)
0.981129 + 0.193354i \(0.0619367\pi\)
\(674\) 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 −0.910251 0.414056i \(-0.864112\pi\)
0.767995 + 0.640456i \(0.221255\pi\)
\(678\) −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 −0.500590 0.865685i \(-0.666884\pi\)
0.364707 + 0.931122i \(0.381169\pi\)
\(684\) 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 −0.779434 0.626485i \(-0.784493\pi\)
0.784218 + 0.620486i \(0.213065\pi\)
\(692\) 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 −0.00188473 0.999998i \(-0.500600\pi\)
−0.975346 + 0.220683i \(0.929171\pi\)
\(702\) 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 −0.921222 0.389038i \(-0.872808\pi\)
0.270210 0.962801i \(-0.412907\pi\)
\(710\) −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 0.934935 0.354818i \(-0.115457\pi\)
−0.553965 + 0.832540i \(0.686886\pi\)
\(720\) 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 0.804276 + 0.594256i \(0.202554\pi\)
−0.651876 + 0.758325i \(0.726018\pi\)
\(728\) −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 0.987909 + 0.155038i \(0.0495499\pi\)
−0.675714 + 0.737164i \(0.736164\pi\)
\(734\) 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 0.176830 0.984241i \(-0.443416\pi\)
−0.0466175 + 0.998913i \(0.514844\pi\)
\(740\) −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 0.0662864 0.997801i \(-0.478885\pi\)
−0.570294 + 0.821441i \(0.693171\pi\)
\(744\) −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 −0.449036 0.893514i \(-0.648233\pi\)
0.610199 + 0.792249i \(0.291090\pi\)
\(752\) −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 0.513683 0.857980i \(-0.328281\pi\)
−0.995892 + 0.0905488i \(0.971138\pi\)
\(758\) −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
\(761\) 260.780 1142.55i 0.342681 1.50138i −0.450710 0.892670i \(-0.648829\pi\)
0.793391 0.608712i \(-0.208314\pi\)
\(762\) −24.4972 70.0089i −0.0321485 0.0918751i
\(763\) 290.577 603.389i 0.380835 0.790812i
\(764\) −137.398 + 218.668i −0.179840 + 0.286214i
\(765\) 175.338 501.086i 0.229199 0.655014i
\(766\) 85.7720 + 85.7720i 0.111974 + 0.111974i
\(767\) 312.146 + 648.177i 0.406969 + 0.845081i
\(768\) 49.0336 + 5.52476i 0.0638459 + 0.00719370i
\(769\) −127.159 + 1128.57i −0.165357 + 1.46758i 0.587407 + 0.809292i \(0.300149\pi\)
−0.752764 + 0.658291i \(0.771280\pi\)
\(770\) 27.2175 13.1073i 0.0353474 0.0170224i
\(771\) 13.3110 13.3110i 0.0172646 0.0172646i