Properties

Label 76.2.k.a.67.1
Level $76$
Weight $2$
Character 76.67
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 67.1
Character \(\chi\) \(=\) 76.67
Dual form 76.2.k.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39408 - 0.237768i) q^{2} +(1.98545 - 1.66599i) q^{3} +(1.88693 + 0.662936i) q^{4} +(-2.53027 - 0.920944i) q^{5} +(-3.16400 + 1.85045i) q^{6} +(1.43753 + 0.829960i) q^{7} +(-2.47292 - 1.37284i) q^{8} +(0.645546 - 3.66107i) q^{9} +O(q^{10})\) \(q+(-1.39408 - 0.237768i) q^{2} +(1.98545 - 1.66599i) q^{3} +(1.88693 + 0.662936i) q^{4} +(-2.53027 - 0.920944i) q^{5} +(-3.16400 + 1.85045i) q^{6} +(1.43753 + 0.829960i) q^{7} +(-2.47292 - 1.37284i) q^{8} +(0.645546 - 3.66107i) q^{9} +(3.30844 + 1.88549i) q^{10} +(2.94034 - 1.69761i) q^{11} +(4.85086 - 1.82739i) q^{12} +(-2.17565 + 2.59283i) q^{13} +(-1.80670 - 1.49883i) q^{14} +(-6.55803 + 2.38693i) q^{15} +(3.12103 + 2.50183i) q^{16} +(1.03855 + 5.88992i) q^{17} +(-1.77043 + 4.95035i) q^{18} +(-4.28990 - 0.772510i) q^{19} +(-4.16393 - 3.41517i) q^{20} +(4.23686 - 0.747073i) q^{21} +(-4.50271 + 1.66749i) q^{22} +(2.01148 + 5.52649i) q^{23} +(-7.19700 + 1.39415i) q^{24} +(1.72393 + 1.44655i) q^{25} +(3.64952 - 3.09733i) q^{26} +(-0.929885 - 1.61061i) q^{27} +(2.16232 + 2.51907i) q^{28} +(-2.92975 - 0.516594i) q^{29} +(9.70996 - 1.76828i) q^{30} +(2.91510 - 5.04911i) q^{31} +(-3.75612 - 4.22984i) q^{32} +(3.00971 - 8.26910i) q^{33} +(-0.0473932 - 8.45798i) q^{34} +(-2.87301 - 3.42391i) q^{35} +(3.64516 - 6.48025i) q^{36} +0.798908i q^{37} +(5.79679 + 2.09694i) q^{38} +8.77256i q^{39} +(4.99284 + 5.75108i) q^{40} +(0.904276 + 1.07767i) q^{41} +(-6.08416 + 0.0340918i) q^{42} +(0.235045 - 0.645782i) q^{43} +(6.67363 - 1.25401i) q^{44} +(-5.00506 + 8.66901i) q^{45} +(-1.49014 - 8.18265i) q^{46} +(-6.47756 - 1.14217i) q^{47} +(10.3647 - 0.232345i) q^{48} +(-2.12233 - 3.67599i) q^{49} +(-2.05935 - 2.42650i) q^{50} +(11.8746 + 9.96394i) q^{51} +(-5.82418 + 3.45019i) q^{52} +(-2.91069 - 7.99704i) q^{53} +(0.913386 + 2.46642i) q^{54} +(-9.00327 + 1.58752i) q^{55} +(-2.41550 - 4.02592i) q^{56} +(-9.80439 + 5.61316i) q^{57} +(3.96148 + 1.41677i) q^{58} +(-0.838664 - 4.75630i) q^{59} +(-13.9569 + 0.156417i) q^{60} +(3.56100 - 1.29610i) q^{61} +(-5.26441 + 6.34575i) q^{62} +(3.96654 - 4.72714i) q^{63} +(4.23062 + 6.78983i) q^{64} +(7.89284 - 4.55693i) q^{65} +(-6.16191 + 10.8122i) q^{66} +(1.76401 - 10.0042i) q^{67} +(-1.94497 + 11.8024i) q^{68} +(13.2008 + 7.62148i) q^{69} +(3.19111 + 5.45633i) q^{70} +(-2.34943 - 0.855121i) q^{71} +(-6.62245 + 8.16730i) q^{72} +(-8.03196 + 6.73961i) q^{73} +(0.189955 - 1.11374i) q^{74} +5.83271 q^{75} +(-7.58263 - 4.30160i) q^{76} +5.63578 q^{77} +(2.08583 - 12.2297i) q^{78} +(6.98750 - 5.86321i) q^{79} +(-5.59302 - 9.20462i) q^{80} +(5.95057 + 2.16583i) q^{81} +(-1.00440 - 1.71737i) q^{82} +(6.78922 + 3.91976i) q^{83} +(8.48993 + 1.39909i) q^{84} +(2.79647 - 15.8596i) q^{85} +(-0.481219 + 0.844387i) q^{86} +(-6.67752 + 3.85527i) q^{87} +(-9.60176 + 0.161420i) q^{88} +(-7.99275 + 9.52539i) q^{89} +(9.03867 - 10.8953i) q^{90} +(-5.27951 + 1.92159i) q^{91} +(0.131813 + 11.7616i) q^{92} +(-2.62398 - 14.8813i) q^{93} +(8.75868 + 3.13243i) q^{94} +(10.1432 + 5.90542i) q^{95} +(-14.5045 - 2.14048i) q^{96} +(-8.40551 + 1.48212i) q^{97} +(2.08468 + 5.62925i) q^{98} +(-4.31694 - 11.8607i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39408 0.237768i −0.985765 0.168127i
\(3\) 1.98545 1.66599i 1.14630 0.961861i 0.146675 0.989185i \(-0.453143\pi\)
0.999627 + 0.0273235i \(0.00869844\pi\)
\(4\) 1.88693 + 0.662936i 0.943466 + 0.331468i
\(5\) −2.53027 0.920944i −1.13157 0.411859i −0.292710 0.956201i \(-0.594557\pi\)
−0.838863 + 0.544342i \(0.816779\pi\)
\(6\) −3.16400 + 1.85045i −1.29170 + 0.755445i
\(7\) 1.43753 + 0.829960i 0.543336 + 0.313695i 0.746430 0.665464i \(-0.231766\pi\)
−0.203094 + 0.979159i \(0.565100\pi\)
\(8\) −2.47292 1.37284i −0.874308 0.485372i
\(9\) 0.645546 3.66107i 0.215182 1.22036i
\(10\) 3.30844 + 1.88549i 1.04622 + 0.596245i
\(11\) 2.94034 1.69761i 0.886546 0.511848i 0.0137349 0.999906i \(-0.495628\pi\)
0.872811 + 0.488058i \(0.162295\pi\)
\(12\) 4.85086 1.82739i 1.40032 0.527521i
\(13\) −2.17565 + 2.59283i −0.603416 + 0.719123i −0.978125 0.208020i \(-0.933298\pi\)
0.374709 + 0.927143i \(0.377743\pi\)
\(14\) −1.80670 1.49883i −0.482861 0.400580i
\(15\) −6.55803 + 2.38693i −1.69328 + 0.616302i
\(16\) 3.12103 + 2.50183i 0.780258 + 0.625458i
\(17\) 1.03855 + 5.88992i 0.251886 + 1.42852i 0.803941 + 0.594709i \(0.202733\pi\)
−0.552055 + 0.833808i \(0.686156\pi\)
\(18\) −1.77043 + 4.95035i −0.417295 + 1.16681i
\(19\) −4.28990 0.772510i −0.984170 0.177226i
\(20\) −4.16393 3.41517i −0.931083 0.763655i
\(21\) 4.23686 0.747073i 0.924559 0.163025i
\(22\) −4.50271 + 1.66749i −0.959982 + 0.355509i
\(23\) 2.01148 + 5.52649i 0.419422 + 1.15235i 0.952034 + 0.305993i \(0.0989885\pi\)
−0.532611 + 0.846360i \(0.678789\pi\)
\(24\) −7.19700 + 1.39415i −1.46908 + 0.284580i
\(25\) 1.72393 + 1.44655i 0.344785 + 0.289309i
\(26\) 3.64952 3.09733i 0.715731 0.607436i
\(27\) −0.929885 1.61061i −0.178957 0.309962i
\(28\) 2.16232 + 2.51907i 0.408640 + 0.476060i
\(29\) −2.92975 0.516594i −0.544040 0.0959290i −0.105128 0.994459i \(-0.533525\pi\)
−0.438913 + 0.898530i \(0.644636\pi\)
\(30\) 9.70996 1.76828i 1.77279 0.322843i
\(31\) 2.91510 5.04911i 0.523568 0.906846i −0.476056 0.879415i \(-0.657934\pi\)
0.999624 0.0274312i \(-0.00873273\pi\)
\(32\) −3.75612 4.22984i −0.663994 0.747737i
\(33\) 3.00971 8.26910i 0.523923 1.43947i
\(34\) −0.0473932 8.45798i −0.00812787 1.45053i
\(35\) −2.87301 3.42391i −0.485627 0.578747i
\(36\) 3.64516 6.48025i 0.607527 1.08004i
\(37\) 0.798908i 0.131340i 0.997841 + 0.0656699i \(0.0209184\pi\)
−0.997841 + 0.0656699i \(0.979082\pi\)
\(38\) 5.79679 + 2.09694i 0.940364 + 0.340169i
\(39\) 8.77256i 1.40473i
\(40\) 4.99284 + 5.75108i 0.789438 + 0.909325i
\(41\) 0.904276 + 1.07767i 0.141224 + 0.168304i 0.832020 0.554745i \(-0.187184\pi\)
−0.690796 + 0.723050i \(0.742740\pi\)
\(42\) −6.08416 + 0.0340918i −0.938807 + 0.00526049i
\(43\) 0.235045 0.645782i 0.0358441 0.0984808i −0.920480 0.390791i \(-0.872202\pi\)
0.956324 + 0.292310i \(0.0944239\pi\)
\(44\) 6.67363 1.25401i 1.00609 0.189049i
\(45\) −5.00506 + 8.66901i −0.746110 + 1.29230i
\(46\) −1.49014 8.18265i −0.219710 1.20647i
\(47\) −6.47756 1.14217i −0.944849 0.166602i −0.320061 0.947397i \(-0.603704\pi\)
−0.624788 + 0.780794i \(0.714815\pi\)
\(48\) 10.3647 0.232345i 1.49601 0.0335362i
\(49\) −2.12233 3.67599i −0.303190 0.525141i
\(50\) −2.05935 2.42650i −0.291237 0.343159i
\(51\) 11.8746 + 9.96394i 1.66277 + 1.39523i
\(52\) −5.82418 + 3.45019i −0.807669 + 0.478455i
\(53\) −2.91069 7.99704i −0.399813 1.09848i −0.962375 0.271723i \(-0.912406\pi\)
0.562562 0.826755i \(-0.309816\pi\)
\(54\) 0.913386 + 2.46642i 0.124296 + 0.335637i
\(55\) −9.00327 + 1.58752i −1.21400 + 0.214061i
\(56\) −2.41550 4.02592i −0.322784 0.537987i
\(57\) −9.80439 + 5.61316i −1.29862 + 0.743481i
\(58\) 3.96148 + 1.41677i 0.520168 + 0.186032i
\(59\) −0.838664 4.75630i −0.109185 0.619218i −0.989466 0.144765i \(-0.953757\pi\)
0.880281 0.474452i \(-0.157354\pi\)
\(60\) −13.9569 + 0.156417i −1.80183 + 0.0201933i
\(61\) 3.56100 1.29610i 0.455939 0.165948i −0.103833 0.994595i \(-0.533111\pi\)
0.559772 + 0.828647i \(0.310889\pi\)
\(62\) −5.26441 + 6.34575i −0.668581 + 0.805912i
\(63\) 3.96654 4.72714i 0.499737 0.595563i
\(64\) 4.23062 + 6.78983i 0.528828 + 0.848729i
\(65\) 7.89284 4.55693i 0.978986 0.565218i
\(66\) −6.16191 + 10.8122i −0.758478 + 1.33089i
\(67\) 1.76401 10.0042i 0.215509 1.22221i −0.664513 0.747277i \(-0.731361\pi\)
0.880022 0.474934i \(-0.157528\pi\)
\(68\) −1.94497 + 11.8024i −0.235862 + 1.43125i
\(69\) 13.2008 + 7.62148i 1.58919 + 0.917518i
\(70\) 3.19111 + 5.45633i 0.381411 + 0.652156i
\(71\) −2.34943 0.855121i −0.278825 0.101484i 0.198822 0.980036i \(-0.436288\pi\)
−0.477648 + 0.878551i \(0.658511\pi\)
\(72\) −6.62245 + 8.16730i −0.780463 + 0.962525i
\(73\) −8.03196 + 6.73961i −0.940069 + 0.788812i −0.977597 0.210484i \(-0.932496\pi\)
0.0375281 + 0.999296i \(0.488052\pi\)
\(74\) 0.189955 1.11374i 0.0220818 0.129470i
\(75\) 5.83271 0.673503
\(76\) −7.58263 4.30160i −0.869787 0.493428i
\(77\) 5.63578 0.642257
\(78\) 2.08583 12.2297i 0.236174 1.38474i
\(79\) 6.98750 5.86321i 0.786156 0.659663i −0.158635 0.987337i \(-0.550709\pi\)
0.944791 + 0.327674i \(0.106265\pi\)
\(80\) −5.59302 9.20462i −0.625318 1.02911i
\(81\) 5.95057 + 2.16583i 0.661174 + 0.240648i
\(82\) −1.00440 1.71737i −0.110917 0.189652i
\(83\) 6.78922 + 3.91976i 0.745213 + 0.430249i 0.823962 0.566645i \(-0.191759\pi\)
−0.0787485 + 0.996895i \(0.525092\pi\)
\(84\) 8.48993 + 1.39909i 0.926328 + 0.152653i
\(85\) 2.79647 15.8596i 0.303320 1.72021i
\(86\) −0.481219 + 0.844387i −0.0518911 + 0.0910526i
\(87\) −6.67752 + 3.85527i −0.715905 + 0.413328i
\(88\) −9.60176 + 0.161420i −1.02355 + 0.0172075i
\(89\) −7.99275 + 9.52539i −0.847230 + 1.00969i 0.152541 + 0.988297i \(0.451254\pi\)
−0.999771 + 0.0213925i \(0.993190\pi\)
\(90\) 9.03867 10.8953i 0.952760 1.14846i
\(91\) −5.27951 + 1.92159i −0.553443 + 0.201437i
\(92\) 0.131813 + 11.7616i 0.0137425 + 1.22623i
\(93\) −2.62398 14.8813i −0.272094 1.54312i
\(94\) 8.75868 + 3.13243i 0.903389 + 0.323086i
\(95\) 10.1432 + 5.90542i 1.04067 + 0.605883i
\(96\) −14.5045 2.14048i −1.48036 0.218462i
\(97\) −8.40551 + 1.48212i −0.853451 + 0.150486i −0.583225 0.812311i \(-0.698209\pi\)
−0.270226 + 0.962797i \(0.587098\pi\)
\(98\) 2.08468 + 5.62925i 0.210584 + 0.568640i
\(99\) −4.31694 11.8607i −0.433869 1.19204i
\(100\) 2.29397 + 3.87239i 0.229397 + 0.387239i
\(101\) −0.0868957 0.0729142i −0.00864645 0.00725523i 0.638454 0.769660i \(-0.279574\pi\)
−0.647101 + 0.762405i \(0.724019\pi\)
\(102\) −14.1850 16.7140i −1.40453 1.65493i
\(103\) 3.35278 + 5.80718i 0.330359 + 0.572199i 0.982582 0.185828i \(-0.0594968\pi\)
−0.652223 + 0.758027i \(0.726163\pi\)
\(104\) 8.93974 3.42505i 0.876613 0.335853i
\(105\) −11.4084 2.01161i −1.11335 0.196313i
\(106\) 2.15630 + 11.8406i 0.209438 + 1.15006i
\(107\) −2.83864 + 4.91666i −0.274421 + 0.475312i −0.969989 0.243149i \(-0.921820\pi\)
0.695568 + 0.718461i \(0.255153\pi\)
\(108\) −0.686900 3.65556i −0.0660970 0.351757i
\(109\) −2.68819 + 7.38575i −0.257482 + 0.707427i 0.741839 + 0.670579i \(0.233954\pi\)
−0.999321 + 0.0368484i \(0.988268\pi\)
\(110\) 12.9288 0.0724447i 1.23271 0.00690733i
\(111\) 1.33098 + 1.58619i 0.126331 + 0.150555i
\(112\) 2.41016 + 6.18680i 0.227739 + 0.584597i
\(113\) 9.61911i 0.904890i −0.891792 0.452445i \(-0.850552\pi\)
0.891792 0.452445i \(-0.149448\pi\)
\(114\) 15.0028 5.49404i 1.40514 0.514564i
\(115\) 15.8360i 1.47671i
\(116\) −5.18577 2.91701i −0.481487 0.270838i
\(117\) 8.08808 + 9.63900i 0.747743 + 0.891126i
\(118\) 0.0382715 + 6.83009i 0.00352318 + 0.628760i
\(119\) −3.39545 + 9.32892i −0.311260 + 0.855180i
\(120\) 19.4943 + 3.10045i 1.77958 + 0.283031i
\(121\) 0.263736 0.456803i 0.0239760 0.0415276i
\(122\) −5.27249 + 0.960175i −0.477349 + 0.0869302i
\(123\) 3.59079 + 0.633154i 0.323771 + 0.0570896i
\(124\) 8.84784 7.59480i 0.794559 0.682033i
\(125\) 3.70184 + 6.41177i 0.331102 + 0.573486i
\(126\) −6.65365 + 5.64691i −0.592754 + 0.503066i
\(127\) −6.20191 5.20402i −0.550331 0.461782i 0.324722 0.945809i \(-0.394729\pi\)
−0.875053 + 0.484027i \(0.839174\pi\)
\(128\) −4.28343 10.4715i −0.378605 0.925558i
\(129\) −0.609196 1.67375i −0.0536367 0.147366i
\(130\) −12.0868 + 4.47608i −1.06008 + 0.392578i
\(131\) 5.31618 0.937385i 0.464476 0.0818997i 0.0634875 0.997983i \(-0.479778\pi\)
0.400989 + 0.916083i \(0.368667\pi\)
\(132\) 11.1610 13.6080i 0.971441 1.18442i
\(133\) −5.52572 4.67095i −0.479141 0.405023i
\(134\) −4.83787 + 13.5273i −0.417928 + 1.16858i
\(135\) 0.869584 + 4.93165i 0.0748418 + 0.424449i
\(136\) 5.51767 15.9911i 0.473136 1.37122i
\(137\) 10.8411 3.94583i 0.926216 0.337115i 0.165507 0.986209i \(-0.447074\pi\)
0.760709 + 0.649093i \(0.224852\pi\)
\(138\) −16.5908 13.7637i −1.41231 1.17164i
\(139\) −3.12723 + 3.72688i −0.265248 + 0.316110i −0.882186 0.470902i \(-0.843929\pi\)
0.616938 + 0.787012i \(0.288373\pi\)
\(140\) −3.15133 8.36532i −0.266336 0.706998i
\(141\) −14.7637 + 8.52385i −1.24333 + 0.717837i
\(142\) 3.07197 + 1.75073i 0.257794 + 0.146918i
\(143\) −1.99553 + 11.3172i −0.166875 + 0.946393i
\(144\) 11.1742 9.81128i 0.931180 0.817607i
\(145\) 6.93731 + 4.00526i 0.576112 + 0.332619i
\(146\) 12.7997 7.48583i 1.05931 0.619532i
\(147\) −10.3380 3.76271i −0.852660 0.310343i
\(148\) −0.529625 + 1.50749i −0.0435349 + 0.123915i
\(149\) 14.3556 12.0458i 1.17606 0.986831i 0.176062 0.984379i \(-0.443664\pi\)
0.999997 0.00245146i \(-0.000780324\pi\)
\(150\) −8.13128 1.38683i −0.663916 0.113234i
\(151\) −6.11110 −0.497314 −0.248657 0.968592i \(-0.579989\pi\)
−0.248657 + 0.968592i \(0.579989\pi\)
\(152\) 9.54802 + 7.79970i 0.774447 + 0.632639i
\(153\) 22.2339 1.79750
\(154\) −7.85675 1.34001i −0.633115 0.107981i
\(155\) −12.0260 + 10.0910i −0.965948 + 0.810527i
\(156\) −5.81565 + 16.5532i −0.465624 + 1.32532i
\(157\) 3.67562 + 1.33782i 0.293347 + 0.106769i 0.484501 0.874790i \(-0.339001\pi\)
−0.191155 + 0.981560i \(0.561223\pi\)
\(158\) −11.1352 + 6.51240i −0.885872 + 0.518099i
\(159\) −19.1020 11.0286i −1.51489 0.874622i
\(160\) 5.60856 + 14.1618i 0.443396 + 1.11959i
\(161\) −1.69520 + 9.61396i −0.133601 + 0.757686i
\(162\) −7.78062 4.43420i −0.611303 0.348383i
\(163\) −3.89527 + 2.24893i −0.305101 + 0.176150i −0.644732 0.764409i \(-0.723031\pi\)
0.339631 + 0.940559i \(0.389698\pi\)
\(164\) 0.991879 + 2.63298i 0.0774527 + 0.205601i
\(165\) −15.2308 + 18.1513i −1.18571 + 1.41308i
\(166\) −8.53274 7.07872i −0.662269 0.549415i
\(167\) 14.9157 5.42887i 1.15421 0.420099i 0.307185 0.951650i \(-0.400613\pi\)
0.847026 + 0.531551i \(0.178391\pi\)
\(168\) −11.5030 3.96908i −0.887476 0.306221i
\(169\) 0.268073 + 1.52032i 0.0206210 + 0.116948i
\(170\) −7.66941 + 21.4446i −0.588217 + 1.64473i
\(171\) −5.59754 + 15.2069i −0.428055 + 1.16290i
\(172\) 0.871627 1.06273i 0.0664609 0.0810321i
\(173\) −4.51044 + 0.795312i −0.342922 + 0.0604664i −0.342457 0.939533i \(-0.611259\pi\)
−0.000465084 1.00000i \(0.500148\pi\)
\(174\) 10.2257 3.78686i 0.775206 0.287081i
\(175\) 1.27763 + 3.51025i 0.0965794 + 0.265350i
\(176\) 13.4240 + 2.05796i 1.01187 + 0.155124i
\(177\) −9.58909 8.04620i −0.720760 0.604790i
\(178\) 13.4074 11.3788i 1.00493 0.852875i
\(179\) 3.50718 + 6.07462i 0.262139 + 0.454039i 0.966810 0.255496i \(-0.0822387\pi\)
−0.704671 + 0.709534i \(0.748905\pi\)
\(180\) −15.1912 + 13.0398i −1.13229 + 0.971930i
\(181\) 2.24482 + 0.395823i 0.166856 + 0.0294213i 0.256452 0.966557i \(-0.417446\pi\)
−0.0895957 + 0.995978i \(0.528558\pi\)
\(182\) 7.81697 1.42355i 0.579432 0.105521i
\(183\) 4.91090 8.50593i 0.363024 0.628776i
\(184\) 2.61277 16.4280i 0.192616 1.21109i
\(185\) 0.735750 2.02146i 0.0540934 0.148620i
\(186\) 0.119742 + 21.3697i 0.00877992 + 1.56690i
\(187\) 13.0525 + 15.5553i 0.954491 + 1.13752i
\(188\) −11.4655 6.44941i −0.836210 0.470371i
\(189\) 3.08707i 0.224551i
\(190\) −12.7363 10.6444i −0.923989 0.772223i
\(191\) 23.8531i 1.72595i −0.505245 0.862976i \(-0.668598\pi\)
0.505245 0.862976i \(-0.331402\pi\)
\(192\) 19.7115 + 6.43271i 1.42256 + 0.464241i
\(193\) 10.3925 + 12.3853i 0.748066 + 0.891511i 0.997031 0.0770018i \(-0.0245347\pi\)
−0.248965 + 0.968513i \(0.580090\pi\)
\(194\) 12.0704 0.0676349i 0.866603 0.00485590i
\(195\) 8.07904 22.1970i 0.578552 1.58956i
\(196\) −1.56775 8.34331i −0.111982 0.595951i
\(197\) −1.59411 + 2.76108i −0.113576 + 0.196719i −0.917209 0.398405i \(-0.869564\pi\)
0.803634 + 0.595124i \(0.202897\pi\)
\(198\) 3.19808 + 17.5612i 0.227277 + 1.24802i
\(199\) −11.2456 1.98291i −0.797183 0.140565i −0.239802 0.970822i \(-0.577083\pi\)
−0.557381 + 0.830257i \(0.688194\pi\)
\(200\) −2.27725 5.94386i −0.161026 0.420294i
\(201\) −13.1646 22.8018i −0.928559 1.60831i
\(202\) 0.103803 + 0.122309i 0.00730356 + 0.00860566i
\(203\) −3.78286 3.17419i −0.265505 0.222785i
\(204\) 15.8011 + 26.6734i 1.10629 + 1.86751i
\(205\) −1.29559 3.55960i −0.0904878 0.248613i
\(206\) −3.29329 8.89288i −0.229454 0.619596i
\(207\) 21.5314 3.79657i 1.49654 0.263880i
\(208\) −13.2771 + 2.64922i −0.920601 + 0.183690i
\(209\) −13.9252 + 5.01112i −0.963225 + 0.346626i
\(210\) 15.4260 + 5.51692i 1.06450 + 0.380703i
\(211\) 0.664785 + 3.77018i 0.0457657 + 0.259550i 0.999102 0.0423589i \(-0.0134873\pi\)
−0.953337 + 0.301909i \(0.902376\pi\)
\(212\) −0.190739 17.0195i −0.0131000 1.16890i
\(213\) −6.08930 + 2.21632i −0.417232 + 0.151860i
\(214\) 5.12632 6.17930i 0.350428 0.422408i
\(215\) −1.18946 + 1.41754i −0.0811204 + 0.0966755i
\(216\) 0.0884199 + 5.25948i 0.00601621 + 0.357862i
\(217\) 8.38111 4.83884i 0.568947 0.328482i
\(218\) 5.50366 9.65719i 0.372755 0.654067i
\(219\) −4.71893 + 26.7624i −0.318875 + 1.80843i
\(220\) −18.0410 2.97305i −1.21632 0.200443i
\(221\) −17.5311 10.1216i −1.17927 0.680852i
\(222\) −1.47834 2.52775i −0.0992199 0.169651i
\(223\) 22.3608 + 8.13865i 1.49739 + 0.545004i 0.955382 0.295372i \(-0.0954435\pi\)
0.542004 + 0.840376i \(0.317666\pi\)
\(224\) −1.88895 9.19797i −0.126211 0.614565i
\(225\) 6.40879 5.37761i 0.427253 0.358507i
\(226\) −2.28712 + 13.4098i −0.152137 + 0.892009i
\(227\) −21.4255 −1.42206 −0.711031 0.703161i \(-0.751771\pi\)
−0.711031 + 0.703161i \(0.751771\pi\)
\(228\) −22.2214 + 4.09197i −1.47165 + 0.270997i
\(229\) −17.6065 −1.16347 −0.581735 0.813378i \(-0.697626\pi\)
−0.581735 + 0.813378i \(0.697626\pi\)
\(230\) −3.76529 + 22.0767i −0.248276 + 1.45569i
\(231\) 11.1896 9.38917i 0.736220 0.617762i
\(232\) 6.53582 + 5.29957i 0.429097 + 0.347934i
\(233\) 10.9408 + 3.98214i 0.716758 + 0.260879i 0.674549 0.738230i \(-0.264338\pi\)
0.0422092 + 0.999109i \(0.486560\pi\)
\(234\) −8.98361 15.3606i −0.587277 1.00416i
\(235\) 15.3381 + 8.85547i 1.00055 + 0.577667i
\(236\) 1.57062 9.53080i 0.102239 0.620402i
\(237\) 4.10529 23.2823i 0.266667 1.51235i
\(238\) 6.95165 12.1980i 0.450609 0.790676i
\(239\) 15.1464 8.74479i 0.979741 0.565654i 0.0775489 0.996989i \(-0.475291\pi\)
0.902192 + 0.431335i \(0.141957\pi\)
\(240\) −26.4395 8.95741i −1.70666 0.578198i
\(241\) 17.4817 20.8339i 1.12610 1.34203i 0.193504 0.981100i \(-0.438015\pi\)
0.932593 0.360930i \(-0.117541\pi\)
\(242\) −0.476282 + 0.574114i −0.0306166 + 0.0369054i
\(243\) 20.6657 7.52168i 1.32570 0.482516i
\(244\) 7.57859 0.0849340i 0.485169 0.00543734i
\(245\) 1.98470 + 11.2558i 0.126798 + 0.719107i
\(246\) −4.85532 1.73644i −0.309564 0.110712i
\(247\) 11.3363 9.44229i 0.721311 0.600798i
\(248\) −14.1404 + 8.48404i −0.897918 + 0.538737i
\(249\) 20.0099 3.52829i 1.26808 0.223597i
\(250\) −3.63615 9.81871i −0.229970 0.620990i
\(251\) −7.93890 21.8120i −0.501099 1.37676i −0.890203 0.455565i \(-0.849437\pi\)
0.389103 0.921194i \(-0.372785\pi\)
\(252\) 10.6184 6.29023i 0.668895 0.396247i
\(253\) 15.2962 + 12.8351i 0.961666 + 0.806934i
\(254\) 7.40863 + 8.72945i 0.464859 + 0.547734i
\(255\) −20.8697 36.1473i −1.30691 2.26363i
\(256\) 3.48167 + 15.6166i 0.217604 + 0.976037i
\(257\) −8.80240 1.55210i −0.549079 0.0968174i −0.107775 0.994175i \(-0.534373\pi\)
−0.441303 + 0.897358i \(0.645484\pi\)
\(258\) 0.451305 + 2.47820i 0.0280970 + 0.154286i
\(259\) −0.663062 + 1.14846i −0.0412007 + 0.0713617i
\(260\) 17.9142 3.36618i 1.11099 0.208761i
\(261\) −3.78258 + 10.3925i −0.234136 + 0.643282i
\(262\) −7.63407 + 0.0427765i −0.471634 + 0.00264274i
\(263\) 0.382797 + 0.456200i 0.0236043 + 0.0281305i 0.777717 0.628614i \(-0.216377\pi\)
−0.754113 + 0.656744i \(0.771933\pi\)
\(264\) −18.7949 + 16.3169i −1.15675 + 1.00424i
\(265\) 22.9153i 1.40768i
\(266\) 6.59271 + 7.82553i 0.404225 + 0.479814i
\(267\) 32.2281i 1.97233i
\(268\) 9.96074 17.7079i 0.608449 1.08168i
\(269\) 6.62803 + 7.89898i 0.404118 + 0.481609i 0.929271 0.369399i \(-0.120436\pi\)
−0.525153 + 0.851008i \(0.675992\pi\)
\(270\) −0.0396825 7.08189i −0.00241500 0.430990i
\(271\) −4.03735 + 11.0925i −0.245252 + 0.673823i 0.754593 + 0.656193i \(0.227834\pi\)
−0.999845 + 0.0176301i \(0.994388\pi\)
\(272\) −11.4942 + 20.9809i −0.696941 + 1.27216i
\(273\) −7.28088 + 12.6108i −0.440659 + 0.763243i
\(274\) −16.0516 + 2.92315i −0.969710 + 0.176594i
\(275\) 7.52460 + 1.32679i 0.453750 + 0.0800084i
\(276\) 19.8564 + 23.1325i 1.19522 + 1.39241i
\(277\) −14.1103 24.4398i −0.847807 1.46844i −0.883161 0.469070i \(-0.844589\pi\)
0.0353540 0.999375i \(-0.488744\pi\)
\(278\) 5.24575 4.45203i 0.314619 0.267015i
\(279\) −16.6033 13.9318i −0.994015 0.834078i
\(280\) 2.40421 + 12.4112i 0.143679 + 0.741713i
\(281\) 1.73634 + 4.77054i 0.103581 + 0.284587i 0.980647 0.195783i \(-0.0627248\pi\)
−0.877066 + 0.480370i \(0.840503\pi\)
\(282\) 22.6086 8.37260i 1.34632 0.498581i
\(283\) −4.41352 + 0.778223i −0.262357 + 0.0462605i −0.303279 0.952902i \(-0.598081\pi\)
0.0409225 + 0.999162i \(0.486970\pi\)
\(284\) −3.86632 3.17107i −0.229424 0.188169i
\(285\) 29.9772 5.17353i 1.77570 0.306454i
\(286\) 5.47280 15.3027i 0.323614 0.904865i
\(287\) 0.405500 + 2.29971i 0.0239359 + 0.135747i
\(288\) −17.9105 + 11.0209i −1.05539 + 0.649411i
\(289\) −17.6378 + 6.41965i −1.03752 + 0.377626i
\(290\) −8.71886 7.23313i −0.511989 0.424744i
\(291\) −14.2195 + 16.9462i −0.833565 + 0.993404i
\(292\) −19.6237 + 7.39252i −1.14839 + 0.432614i
\(293\) −19.7434 + 11.3988i −1.15342 + 0.665928i −0.949719 0.313105i \(-0.898631\pi\)
−0.203702 + 0.979033i \(0.565298\pi\)
\(294\) 13.5173 + 7.70356i 0.788346 + 0.449281i
\(295\) −2.25824 + 12.8071i −0.131480 + 0.745659i
\(296\) 1.09677 1.97563i 0.0637487 0.114831i
\(297\) −5.46836 3.15716i −0.317306 0.183197i
\(298\) −22.8770 + 13.3795i −1.32523 + 0.775056i
\(299\) −18.7055 6.80826i −1.08177 0.393732i
\(300\) 11.0059 + 3.86671i 0.635428 + 0.223245i
\(301\) 0.873858 0.733254i 0.0503684 0.0422641i
\(302\) 8.51938 + 1.45302i 0.490235 + 0.0836121i
\(303\) −0.294002 −0.0168900
\(304\) −11.4562 13.1436i −0.657059 0.753839i
\(305\) −10.2039 −0.584275
\(306\) −30.9959 5.28650i −1.77192 0.302209i
\(307\) −25.9825 + 21.8019i −1.48290 + 1.24430i −0.579882 + 0.814700i \(0.696902\pi\)
−0.903019 + 0.429602i \(0.858654\pi\)
\(308\) 10.6343 + 3.73616i 0.605948 + 0.212888i
\(309\) 16.3315 + 5.94418i 0.929067 + 0.338153i
\(310\) 19.1645 11.2083i 1.08847 0.636587i
\(311\) 15.6547 + 9.03827i 0.887699 + 0.512513i 0.873189 0.487382i \(-0.162048\pi\)
0.0145095 + 0.999895i \(0.495381\pi\)
\(312\) 12.0433 21.6938i 0.681819 1.22817i
\(313\) 0.100851 0.571953i 0.00570042 0.0323287i −0.981825 0.189789i \(-0.939220\pi\)
0.987525 + 0.157460i \(0.0503307\pi\)
\(314\) −4.80603 2.73897i −0.271220 0.154569i
\(315\) −14.3899 + 8.30799i −0.810777 + 0.468102i
\(316\) 17.0719 6.43122i 0.960369 0.361784i
\(317\) −0.495890 + 0.590979i −0.0278520 + 0.0331927i −0.779791 0.626040i \(-0.784674\pi\)
0.751939 + 0.659233i \(0.229119\pi\)
\(318\) 24.0076 + 19.9166i 1.34628 + 1.11687i
\(319\) −9.49143 + 3.45460i −0.531418 + 0.193420i
\(320\) −4.45157 21.0763i −0.248850 1.17820i
\(321\) 2.55515 + 14.4909i 0.142614 + 0.808806i
\(322\) 4.64914 12.9996i 0.259087 0.724439i
\(323\) 0.0947395 26.0695i 0.00527145 1.45054i
\(324\) 9.79251 + 8.03162i 0.544028 + 0.446201i
\(325\) −7.50131 + 1.32268i −0.416098 + 0.0733693i
\(326\) 5.96505 2.20903i 0.330374 0.122347i
\(327\) 6.96733 + 19.1426i 0.385294 + 1.05859i
\(328\) −0.756724 3.90642i −0.0417831 0.215696i
\(329\) −8.36375 7.01802i −0.461109 0.386916i
\(330\) 25.5488 21.6831i 1.40641 1.19361i
\(331\) 11.5517 + 20.0081i 0.634937 + 1.09974i 0.986528 + 0.163590i \(0.0523073\pi\)
−0.351591 + 0.936154i \(0.614359\pi\)
\(332\) 10.2122 + 11.8971i 0.560470 + 0.652940i
\(333\) 2.92486 + 0.515732i 0.160282 + 0.0282620i
\(334\) −22.0845 + 4.02182i −1.20841 + 0.220064i
\(335\) −13.6768 + 23.6889i −0.747242 + 1.29426i
\(336\) 15.0924 + 8.26828i 0.823359 + 0.451071i
\(337\) −1.58775 + 4.36231i −0.0864903 + 0.237630i −0.975396 0.220460i \(-0.929244\pi\)
0.888906 + 0.458090i \(0.151466\pi\)
\(338\) −0.0122332 2.18319i −0.000665399 0.118750i
\(339\) −16.0254 19.0983i −0.870378 1.03728i
\(340\) 15.7906 28.0721i 0.856368 1.52242i
\(341\) 19.7948i 1.07195i
\(342\) 11.4192 19.8688i 0.617478 1.07438i
\(343\) 18.6652i 1.00783i
\(344\) −1.46780 + 1.27428i −0.0791386 + 0.0687048i
\(345\) −26.3827 31.4416i −1.42039 1.69276i
\(346\) 6.47702 0.0362932i 0.348207 0.00195113i
\(347\) 7.62858 20.9593i 0.409524 1.12516i −0.547919 0.836532i \(-0.684580\pi\)
0.957442 0.288625i \(-0.0931981\pi\)
\(348\) −15.1558 + 2.84786i −0.812437 + 0.152661i
\(349\) 6.79776 11.7741i 0.363876 0.630251i −0.624719 0.780849i \(-0.714787\pi\)
0.988595 + 0.150598i \(0.0481200\pi\)
\(350\) −0.946492 5.19735i −0.0505921 0.277810i
\(351\) 6.19914 + 1.09308i 0.330886 + 0.0583441i
\(352\) −18.2249 6.06076i −0.971389 0.323040i
\(353\) 12.5636 + 21.7608i 0.668692 + 1.15821i 0.978270 + 0.207335i \(0.0664789\pi\)
−0.309578 + 0.950874i \(0.600188\pi\)
\(354\) 11.4549 + 13.4970i 0.608819 + 0.717360i
\(355\) 5.15717 + 4.32738i 0.273714 + 0.229674i
\(356\) −21.3965 + 12.6751i −1.13401 + 0.671779i
\(357\) 8.80041 + 24.1789i 0.465767 + 1.27968i
\(358\) −3.44496 9.30242i −0.182072 0.491648i
\(359\) −9.73513 + 1.71657i −0.513800 + 0.0905969i −0.424536 0.905411i \(-0.639563\pi\)
−0.0892644 + 0.996008i \(0.528452\pi\)
\(360\) 24.2782 14.5666i 1.27958 0.767727i
\(361\) 17.8065 + 6.62798i 0.937182 + 0.348841i
\(362\) −3.03536 1.08556i −0.159535 0.0570556i
\(363\) −0.237397 1.34634i −0.0124601 0.0706647i
\(364\) −11.2360 + 0.125923i −0.588925 + 0.00660014i
\(365\) 26.5299 9.65608i 1.38864 0.505422i
\(366\) −8.86864 + 10.6903i −0.463571 + 0.558792i
\(367\) 20.2739 24.1615i 1.05829 1.26122i 0.0942270 0.995551i \(-0.469962\pi\)
0.964064 0.265671i \(-0.0855935\pi\)
\(368\) −7.54847 + 22.2807i −0.393491 + 1.16146i
\(369\) 4.52920 2.61493i 0.235781 0.136128i
\(370\) −1.50633 + 2.64314i −0.0783106 + 0.137410i
\(371\) 2.45302 13.9118i 0.127354 0.722263i
\(372\) 4.91409 29.8195i 0.254784 1.54607i
\(373\) 17.2111 + 9.93681i 0.891155 + 0.514509i 0.874320 0.485350i \(-0.161308\pi\)
0.0168350 + 0.999858i \(0.494641\pi\)
\(374\) −14.4977 24.7889i −0.749656 1.28180i
\(375\) 18.0318 + 6.56303i 0.931157 + 0.338913i
\(376\) 14.4504 + 11.7171i 0.745225 + 0.604265i
\(377\) 7.71354 6.47243i 0.397267 0.333347i
\(378\) −0.734006 + 4.30363i −0.0377532 + 0.221355i
\(379\) 36.4793 1.87382 0.936909 0.349573i \(-0.113673\pi\)
0.936909 + 0.349573i \(0.113673\pi\)
\(380\) 15.2246 + 17.8674i 0.781005 + 0.916579i
\(381\) −20.9835 −1.07502
\(382\) −5.67151 + 33.2532i −0.290180 + 1.70138i
\(383\) 14.8965 12.4996i 0.761175 0.638702i −0.177258 0.984164i \(-0.556723\pi\)
0.938432 + 0.345463i \(0.112278\pi\)
\(384\) −25.9500 13.6545i −1.32425 0.696803i
\(385\) −14.2601 5.19024i −0.726761 0.264519i
\(386\) −11.5431 19.7371i −0.587531 1.00459i
\(387\) −2.21252 1.27740i −0.112469 0.0649339i
\(388\) −16.8432 2.77566i −0.855083 0.140913i
\(389\) −1.67034 + 9.47298i −0.0846897 + 0.480299i 0.912733 + 0.408556i \(0.133967\pi\)
−0.997423 + 0.0717435i \(0.977144\pi\)
\(390\) −16.5406 + 29.0235i −0.837565 + 1.46966i
\(391\) −30.4616 + 17.5870i −1.54051 + 0.889413i
\(392\) 0.201806 + 12.0040i 0.0101927 + 0.606295i
\(393\) 8.99334 10.7178i 0.453654 0.540644i
\(394\) 2.87881 3.47014i 0.145033 0.174823i
\(395\) −23.0800 + 8.40043i −1.16128 + 0.422671i
\(396\) −0.282892 25.2422i −0.0142158 1.26847i
\(397\) −0.0229782 0.130316i −0.00115324 0.00654036i 0.984226 0.176917i \(-0.0566125\pi\)
−0.985379 + 0.170377i \(0.945501\pi\)
\(398\) 15.2059 + 5.43820i 0.762202 + 0.272592i
\(399\) −18.7528 0.0681499i −0.938815 0.00341176i
\(400\) 1.76141 + 8.82769i 0.0880706 + 0.441385i
\(401\) −1.91187 + 0.337113i −0.0954740 + 0.0168346i −0.221181 0.975233i \(-0.570991\pi\)
0.125707 + 0.992067i \(0.459880\pi\)
\(402\) 12.9310 + 34.9176i 0.644940 + 1.74153i
\(403\) 6.74926 + 18.5435i 0.336205 + 0.923715i
\(404\) −0.115629 0.195190i −0.00575275 0.00971109i
\(405\) −13.0620 10.9603i −0.649054 0.544621i
\(406\) 4.51889 + 5.32453i 0.224269 + 0.264252i
\(407\) 1.35623 + 2.34906i 0.0672259 + 0.116439i
\(408\) −15.6859 40.9419i −0.776568 2.02692i
\(409\) −27.0452 4.76879i −1.33730 0.235802i −0.541161 0.840919i \(-0.682015\pi\)
−0.796136 + 0.605117i \(0.793126\pi\)
\(410\) 0.959799 + 5.27042i 0.0474011 + 0.260288i
\(411\) 14.9507 25.8954i 0.737465 1.27733i
\(412\) 2.47668 + 13.1804i 0.122017 + 0.649354i
\(413\) 2.74193 7.53340i 0.134922 0.370694i
\(414\) −30.9193 + 0.173252i −1.51960 + 0.00851488i
\(415\) −13.5687 16.1705i −0.666061 0.793781i
\(416\) 19.1393 0.536357i 0.938380 0.0262971i
\(417\) 12.6095i 0.617489i
\(418\) 20.6043 3.67495i 1.00779 0.179748i
\(419\) 6.34043i 0.309750i 0.987934 + 0.154875i \(0.0494975\pi\)
−0.987934 + 0.154875i \(0.950503\pi\)
\(420\) −20.1934 11.3588i −0.985336 0.554255i
\(421\) 7.49154 + 8.92808i 0.365116 + 0.435128i 0.917058 0.398755i \(-0.130558\pi\)
−0.551942 + 0.833882i \(0.686113\pi\)
\(422\) −0.0303367 5.41401i −0.00147677 0.263550i
\(423\) −8.36313 + 22.9775i −0.406629 + 1.11720i
\(424\) −3.78078 + 23.7719i −0.183611 + 1.15447i
\(425\) −6.72966 + 11.6561i −0.326436 + 0.565404i
\(426\) 9.01595 1.64190i 0.436824 0.0795502i
\(427\) 6.19476 + 1.09230i 0.299785 + 0.0528602i
\(428\) −8.61575 + 7.39558i −0.416458 + 0.357479i
\(429\) 14.8924 + 25.7943i 0.719010 + 1.24536i
\(430\) 1.99525 1.69335i 0.0962194 0.0816608i
\(431\) 17.1020 + 14.3503i 0.823775 + 0.691229i 0.953853 0.300275i \(-0.0970784\pi\)
−0.130078 + 0.991504i \(0.541523\pi\)
\(432\) 1.12727 7.35318i 0.0542359 0.353780i
\(433\) −6.55454 18.0085i −0.314991 0.865431i −0.991630 0.129116i \(-0.958786\pi\)
0.676638 0.736316i \(-0.263436\pi\)
\(434\) −12.8345 + 4.75298i −0.616075 + 0.228150i
\(435\) 20.4464 3.60526i 0.980331 0.172859i
\(436\) −9.96873 + 12.1543i −0.477415 + 0.582086i
\(437\) −4.35977 25.2620i −0.208556 1.20844i
\(438\) 12.9418 36.1869i 0.618383 1.72908i
\(439\) 0.638308 + 3.62002i 0.0304648 + 0.172774i 0.996244 0.0865917i \(-0.0275975\pi\)
−0.965779 + 0.259366i \(0.916486\pi\)
\(440\) 24.4437 + 8.43425i 1.16531 + 0.402087i
\(441\) −14.8281 + 5.39700i −0.706101 + 0.257000i
\(442\) 22.0332 + 18.2787i 1.04801 + 0.869428i
\(443\) −14.4156 + 17.1798i −0.684905 + 0.816237i −0.990729 0.135850i \(-0.956623\pi\)
0.305825 + 0.952088i \(0.401068\pi\)
\(444\) 1.45992 + 3.87539i 0.0692845 + 0.183918i
\(445\) 28.9962 16.7410i 1.37455 0.793598i
\(446\) −29.2376 16.6626i −1.38444 0.788998i
\(447\) 8.43420 47.8327i 0.398924 2.26241i
\(448\) 0.446367 + 13.2719i 0.0210888 + 0.627036i
\(449\) −32.5644 18.8011i −1.53681 0.887278i −0.999023 0.0441984i \(-0.985927\pi\)
−0.537788 0.843080i \(-0.680740\pi\)
\(450\) −10.2130 + 5.97303i −0.481446 + 0.281571i
\(451\) 4.48835 + 1.63362i 0.211348 + 0.0769244i
\(452\) 6.37686 18.1506i 0.299942 0.853733i
\(453\) −12.1333 + 10.1810i −0.570072 + 0.478347i
\(454\) 29.8689 + 5.09430i 1.40182 + 0.239087i
\(455\) 15.1283 0.709225
\(456\) 31.9514 0.421011i 1.49626 0.0197156i
\(457\) 40.6482 1.90144 0.950721 0.310047i \(-0.100345\pi\)
0.950721 + 0.310047i \(0.100345\pi\)
\(458\) 24.5449 + 4.18626i 1.14691 + 0.195611i
\(459\) 8.52063 7.14966i 0.397709 0.333717i
\(460\) 10.4983 29.8815i 0.489484 1.39323i
\(461\) −27.8951 10.1530i −1.29920 0.472871i −0.402466 0.915435i \(-0.631847\pi\)
−0.896737 + 0.442564i \(0.854069\pi\)
\(462\) −17.8316 + 10.4288i −0.829603 + 0.485190i
\(463\) −16.0546 9.26911i −0.746119 0.430772i 0.0781706 0.996940i \(-0.475092\pi\)
−0.824290 + 0.566168i \(0.808425\pi\)
\(464\) −7.85140 8.94204i −0.364492 0.415124i
\(465\) −7.06548 + 40.0703i −0.327654 + 1.85822i
\(466\) −14.3056 8.15281i −0.662694 0.377672i
\(467\) 22.4178 12.9429i 1.03737 0.598926i 0.118283 0.992980i \(-0.462261\pi\)
0.919087 + 0.394054i \(0.128928\pi\)
\(468\) 8.87162 + 23.5500i 0.410091 + 1.08860i
\(469\) 10.8389 12.9173i 0.500496 0.596467i
\(470\) −19.2771 15.9922i −0.889185 0.737664i
\(471\) 9.52657 3.46739i 0.438961 0.159769i
\(472\) −4.45569 + 12.9133i −0.205090 + 0.594382i
\(473\) −0.405170 2.29783i −0.0186297 0.105654i
\(474\) −11.2589 + 31.4813i −0.517138 + 1.44598i
\(475\) −6.27800 7.53729i −0.288054 0.345834i
\(476\) −12.5915 + 15.3521i −0.577129 + 0.703661i
\(477\) −31.1568 + 5.49378i −1.42657 + 0.251543i
\(478\) −23.1946 + 8.58963i −1.06090 + 0.392881i
\(479\) 0.149158 + 0.409808i 0.00681519 + 0.0187246i 0.943054 0.332641i \(-0.107940\pi\)
−0.936238 + 0.351365i \(0.885717\pi\)
\(480\) 34.7291 + 18.7738i 1.58516 + 0.856904i
\(481\) −2.07144 1.73814i −0.0944494 0.0792525i
\(482\) −29.3246 + 24.8876i −1.33570 + 1.13360i
\(483\) 12.6510 + 21.9123i 0.575643 + 0.997042i
\(484\) 0.800483 0.687118i 0.0363856 0.0312326i
\(485\) 22.6332 + 3.99084i 1.02772 + 0.181215i
\(486\) −30.5981 + 5.57222i −1.38796 + 0.252761i
\(487\) −2.67545 + 4.63401i −0.121236 + 0.209987i −0.920255 0.391318i \(-0.872019\pi\)
0.799019 + 0.601305i \(0.205352\pi\)
\(488\) −10.5854 1.68354i −0.479177 0.0762103i
\(489\) −3.98716 + 10.9546i −0.180306 + 0.495386i
\(490\) −0.0905697 16.1634i −0.00409152 0.730189i
\(491\) −17.1929 20.4898i −0.775907 0.924690i 0.222834 0.974856i \(-0.428469\pi\)
−0.998741 + 0.0501666i \(0.984025\pi\)
\(492\) 6.35585 + 3.57519i 0.286544 + 0.161182i
\(493\) 17.7925i 0.801334i
\(494\) −18.0488 + 10.4679i −0.812054 + 0.470974i
\(495\) 33.9865i 1.52758i
\(496\) 21.7301 8.46532i 0.975712 0.380104i
\(497\) −2.66766 3.17919i −0.119661 0.142606i
\(498\) −28.7344 + 0.161010i −1.28762 + 0.00721502i
\(499\) −1.54362 + 4.24107i −0.0691021 + 0.189856i −0.969437 0.245342i \(-0.921100\pi\)
0.900334 + 0.435199i \(0.143322\pi\)
\(500\) 2.73452 + 14.5527i 0.122292 + 0.650815i
\(501\) 20.5700 35.6282i 0.918998 1.59175i
\(502\) 5.88131 + 32.2953i 0.262495 + 1.44141i
\(503\) −20.5559 3.62456i −0.916543 0.161611i −0.304570 0.952490i \(-0.598513\pi\)
−0.611973 + 0.790879i \(0.709624\pi\)
\(504\) −16.2985 + 6.24439i −0.725994 + 0.278147i
\(505\) 0.152720 + 0.264519i 0.00679595 + 0.0117709i
\(506\) −18.2725 21.5301i −0.812310 0.957130i
\(507\) 3.06508 + 2.57191i 0.136125 + 0.114223i
\(508\) −8.25265 13.9311i −0.366152 0.618093i
\(509\) 11.3786 + 31.2625i 0.504348 + 1.38569i 0.886990 + 0.461789i \(0.152792\pi\)
−0.382642 + 0.923897i \(0.624986\pi\)
\(510\) 20.4994 + 55.3545i 0.907727 + 2.45114i
\(511\) −17.1398 + 3.02221i −0.758221 + 0.133695i
\(512\) −1.14061 22.5987i −0.0504085 0.998729i
\(513\) 2.74490 + 7.62769i 0.121190 + 0.336771i
\(514\) 11.9022 + 4.25668i 0.524985 + 0.187754i
\(515\) −3.13536 17.7815i −0.138160 0.783546i
\(516\) −0.0399210 3.56212i −0.00175742 0.156813i
\(517\) −20.9852 + 7.63798i −0.922928 + 0.335918i
\(518\) 1.19743 1.44339i 0.0526120 0.0634189i
\(519\) −7.63028 + 9.09341i −0.334932 + 0.399156i
\(520\) −25.7743 + 0.433305i −1.13028 + 0.0190017i
\(521\) 18.8289 10.8709i 0.824911 0.476262i −0.0271962 0.999630i \(-0.508658\pi\)
0.852107 + 0.523368i \(0.175325\pi\)
\(522\) 7.74423 13.5887i 0.338956 0.594761i
\(523\) 3.60494 20.4446i 0.157633 0.893981i −0.798706 0.601722i \(-0.794482\pi\)
0.956339 0.292260i \(-0.0944072\pi\)
\(524\) 10.6527 + 1.75550i 0.465365 + 0.0766895i
\(525\) 8.38471 + 4.84092i 0.365939 + 0.211275i
\(526\) −0.425181 0.726997i −0.0185388 0.0316986i
\(527\) 32.7663 + 11.9260i 1.42732 + 0.519504i
\(528\) 30.0813 18.2783i 1.30912 0.795463i
\(529\) −8.87704 + 7.44872i −0.385958 + 0.323858i
\(530\) 5.44852 31.9458i 0.236669 1.38764i
\(531\) −17.9546 −0.779162
\(532\) −7.33012 12.4770i −0.317801 0.540945i
\(533\) −4.76162 −0.206248
\(534\) 7.66280 44.9286i 0.331602 1.94425i
\(535\) 11.7105 9.82628i 0.506289 0.424827i
\(536\) −18.0965 + 22.3179i −0.781648 + 0.963986i
\(537\) 17.0836 + 6.21793i 0.737213 + 0.268324i
\(538\) −7.36190 12.5878i −0.317394 0.542697i
\(539\) −12.4808 7.20577i −0.537584 0.310375i
\(540\) −1.62853 + 9.88218i −0.0700806 + 0.425261i
\(541\) −6.88874 + 39.0680i −0.296170 + 1.67966i 0.366238 + 0.930521i \(0.380646\pi\)
−0.662408 + 0.749143i \(0.730465\pi\)
\(542\) 8.26585 14.5040i 0.355049 0.622998i
\(543\) 5.11643 2.95397i 0.219567 0.126767i
\(544\) 21.0125 26.5162i 0.900904 1.13687i
\(545\) 13.6037 16.2123i 0.582720 0.694459i
\(546\) 13.1486 15.8494i 0.562708 0.678292i
\(547\) −14.4386 + 5.25520i −0.617348 + 0.224696i −0.631715 0.775200i \(-0.717649\pi\)
0.0143672 + 0.999897i \(0.495427\pi\)
\(548\) 23.0722 0.258573i 0.985597 0.0110457i
\(549\) −2.44632 13.8738i −0.104406 0.592118i
\(550\) −10.1744 3.63876i −0.433840 0.155157i
\(551\) 12.1692 + 4.47939i 0.518427 + 0.190829i
\(552\) −22.1814 36.9698i −0.944102 1.57354i
\(553\) 14.9110 2.62921i 0.634080 0.111805i
\(554\) 13.8600 + 37.4261i 0.588853 + 1.59008i
\(555\) −1.90694 5.23926i −0.0809449 0.222394i
\(556\) −8.37155 + 4.95923i −0.355033 + 0.210318i
\(557\) 0.878070 + 0.736789i 0.0372050 + 0.0312187i 0.661201 0.750209i \(-0.270047\pi\)
−0.623996 + 0.781428i \(0.714492\pi\)
\(558\) 19.8339 + 23.3699i 0.839634 + 0.989326i
\(559\) 1.16303 + 2.01443i 0.0491909 + 0.0852011i
\(560\) −0.400680 17.8739i −0.0169318 0.755311i
\(561\) 51.8301 + 9.13905i 2.18827 + 0.385851i
\(562\) −1.28631 7.06338i −0.0542599 0.297951i
\(563\) −13.2485 + 22.9471i −0.558358 + 0.967104i 0.439276 + 0.898352i \(0.355235\pi\)
−0.997634 + 0.0687518i \(0.978098\pi\)
\(564\) −33.5089 + 6.29651i −1.41098 + 0.265131i
\(565\) −8.85867 + 24.3390i −0.372687 + 1.02395i
\(566\) 6.33785 0.0355133i 0.266400 0.00149274i
\(567\) 6.75658 + 8.05218i 0.283750 + 0.338160i
\(568\) 4.63599 + 5.34003i 0.194522 + 0.224063i
\(569\) 9.00969i 0.377706i 0.982005 + 0.188853i \(0.0604769\pi\)
−0.982005 + 0.188853i \(0.939523\pi\)
\(570\) −43.0208 + 0.0847173i −1.80194 + 0.00354842i
\(571\) 12.9557i 0.542179i 0.962554 + 0.271089i \(0.0873839\pi\)
−0.962554 + 0.271089i \(0.912616\pi\)
\(572\) −11.2680 + 20.0319i −0.471139 + 0.837576i
\(573\) −39.7391 47.3593i −1.66013 1.97846i
\(574\) −0.0185045 3.30239i −0.000772365 0.137839i
\(575\) −4.52668 + 12.4370i −0.188776 + 0.518657i
\(576\) 27.5892 11.1055i 1.14955 0.462728i
\(577\) 15.3414 26.5721i 0.638672 1.10621i −0.347053 0.937846i \(-0.612818\pi\)
0.985725 0.168366i \(-0.0538490\pi\)
\(578\) 26.1150 4.75581i 1.08624 0.197816i
\(579\) 41.2675 + 7.27658i 1.71502 + 0.302404i
\(580\) 10.4350 + 12.1566i 0.433290 + 0.504777i
\(581\) 6.50648 + 11.2696i 0.269934 + 0.467540i
\(582\) 23.8525 20.2434i 0.988717 0.839118i
\(583\) −22.1342 18.5728i −0.916706 0.769208i
\(584\) 29.1148 5.63990i 1.20478 0.233381i
\(585\) −11.5881 31.8380i −0.479108 1.31634i
\(586\) 30.2342 11.1966i 1.24896 0.462527i
\(587\) −29.7939 + 5.25347i −1.22973 + 0.216834i −0.750508 0.660862i \(-0.770191\pi\)
−0.479218 + 0.877696i \(0.659080\pi\)
\(588\) −17.0126 13.9534i −0.701588 0.575428i
\(589\) −16.4060 + 19.4082i −0.675997 + 0.799701i
\(590\) 6.19329 17.3172i 0.254974 0.712939i
\(591\) 1.43491 + 8.13776i 0.0590242 + 0.334743i
\(592\) −1.99873 + 2.49342i −0.0821475 + 0.102479i
\(593\) −4.00540 + 1.45785i −0.164482 + 0.0598666i −0.422949 0.906154i \(-0.639005\pi\)
0.258467 + 0.966020i \(0.416783\pi\)
\(594\) 6.87267 + 5.70154i 0.281989 + 0.233937i
\(595\) 17.1828 20.4777i 0.704427 0.839504i
\(596\) 35.0737 13.2128i 1.43667 0.541216i
\(597\) −25.6312 + 14.7982i −1.04902 + 0.605650i
\(598\) 24.4583 + 13.9389i 1.00017 + 0.570002i
\(599\) −0.748191 + 4.24320i −0.0305703 + 0.173373i −0.996270 0.0862879i \(-0.972500\pi\)
0.965700 + 0.259660i \(0.0836106\pi\)
\(600\) −14.4238 8.00738i −0.588849 0.326900i
\(601\) 0.136310 + 0.0786987i 0.00556021 + 0.00321019i 0.502778 0.864416i \(-0.332311\pi\)
−0.497217 + 0.867626i \(0.665645\pi\)
\(602\) −1.39257 + 0.814441i −0.0567571 + 0.0331942i
\(603\) −35.4875 12.9164i −1.44516 0.525996i
\(604\) −11.5312 4.05127i −0.469199 0.164844i
\(605\) −1.08801 + 0.912952i −0.0442341 + 0.0371168i
\(606\) 0.409863 + 0.0699042i 0.0166495 + 0.00283966i
\(607\) −23.1610 −0.940074 −0.470037 0.882647i \(-0.655760\pi\)
−0.470037 + 0.882647i \(0.655760\pi\)
\(608\) 12.8458 + 21.0472i 0.520965 + 0.853578i
\(609\) −12.7989 −0.518636
\(610\) 14.2251 + 2.42617i 0.575958 + 0.0982326i
\(611\) 17.0543 14.3103i 0.689945 0.578932i
\(612\) 41.9539 + 14.7396i 1.69588 + 0.595815i
\(613\) −45.1542 16.4348i −1.82376 0.663795i −0.994475 0.104970i \(-0.966525\pi\)
−0.829286 0.558825i \(-0.811252\pi\)
\(614\) 41.4056 24.2159i 1.67099 0.977273i
\(615\) −8.50259 4.90898i −0.342858 0.197949i
\(616\) −13.9368 7.73703i −0.561530 0.311734i
\(617\) −2.55508 + 14.4906i −0.102864 + 0.583369i 0.889188 + 0.457541i \(0.151270\pi\)
−0.992052 + 0.125828i \(0.959841\pi\)
\(618\) −21.3541 12.1698i −0.858989 0.489541i
\(619\) 41.6191 24.0288i 1.67281 0.965800i 0.706762 0.707451i \(-0.250155\pi\)
0.966052 0.258349i \(-0.0831783\pi\)
\(620\) −29.3818 + 11.0686i −1.18000 + 0.444524i
\(621\) 7.03057 8.37871i 0.282127 0.336226i
\(622\) −19.6750 16.3223i −0.788895 0.654464i
\(623\) −19.3955 + 7.05940i −0.777066 + 0.282829i
\(624\) −21.9475 + 27.3794i −0.878602 + 1.09605i
\(625\) −5.41569 30.7139i −0.216628 1.22856i
\(626\) −0.276586 + 0.773371i −0.0110546 + 0.0309101i
\(627\) −19.2993 + 33.1486i −0.770740 + 1.32383i
\(628\) 6.04877 + 4.96107i 0.241372 + 0.197968i
\(629\) −4.70551 + 0.829708i −0.187621 + 0.0330826i
\(630\) 22.0360 8.16058i 0.877937 0.325125i
\(631\) 2.81681 + 7.73912i 0.112135 + 0.308090i 0.983048 0.183348i \(-0.0586937\pi\)
−0.870913 + 0.491438i \(0.836471\pi\)
\(632\) −25.3288 + 4.90650i −1.00752 + 0.195170i
\(633\) 7.60099 + 6.37799i 0.302112 + 0.253502i
\(634\) 0.831828 0.705967i 0.0330361 0.0280375i
\(635\) 10.8999 + 18.8792i 0.432550 + 0.749199i
\(636\) −28.7330 33.4736i −1.13934 1.32731i
\(637\) 14.1487 + 2.49479i 0.560591 + 0.0988473i
\(638\) 14.0532 2.55924i 0.556373 0.101321i
\(639\) −4.64732 + 8.04940i −0.183845 + 0.318429i
\(640\) 1.19459 + 30.4406i 0.0472203 + 1.20327i
\(641\) 12.2993 33.7920i 0.485793 1.33471i −0.418664 0.908141i \(-0.637502\pi\)
0.904457 0.426564i \(-0.140276\pi\)
\(642\) −0.116601 20.8091i −0.00460188 0.821270i
\(643\) 12.2592 + 14.6099i 0.483454 + 0.576158i 0.951540 0.307525i \(-0.0995008\pi\)
−0.468086 + 0.883683i \(0.655056\pi\)
\(644\) −9.57217 + 17.0171i −0.377196 + 0.670567i
\(645\) 4.79609i 0.188846i
\(646\) −6.33056 + 36.3205i −0.249072 + 1.42901i
\(647\) 44.0542i 1.73195i 0.500089 + 0.865974i \(0.333301\pi\)
−0.500089 + 0.865974i \(0.666699\pi\)
\(648\) −11.7419 13.5251i −0.461266 0.531316i
\(649\) −10.5403 12.5614i −0.413742 0.493079i
\(650\) 10.7719 0.0603592i 0.422510 0.00236748i
\(651\) 8.57884 23.5702i 0.336231 0.923787i
\(652\) −8.84101 + 1.66127i −0.346241 + 0.0650605i
\(653\) −14.7359 + 25.5233i −0.576660 + 0.998804i 0.419200 + 0.907894i \(0.362311\pi\)
−0.995859 + 0.0909095i \(0.971023\pi\)
\(654\) −5.16154 28.3429i −0.201832 1.10830i
\(655\) −14.3147 2.52406i −0.559320 0.0986232i
\(656\) 0.126114 + 5.62580i 0.00492391 + 0.219651i
\(657\) 19.4892 + 33.7563i 0.760347 + 1.31696i
\(658\) 9.99110 + 11.7723i 0.389494 + 0.458933i
\(659\) 4.57370 + 3.83779i 0.178166 + 0.149499i 0.727510 0.686098i \(-0.240678\pi\)
−0.549344 + 0.835597i \(0.685122\pi\)
\(660\) −40.7726 + 24.1533i −1.58707 + 0.940166i
\(661\) 14.8266 + 40.7359i 0.576690 + 1.58444i 0.793724 + 0.608278i \(0.208139\pi\)
−0.217034 + 0.976164i \(0.569638\pi\)
\(662\) −11.3467 30.6395i −0.441002 1.19084i
\(663\) −51.6697 + 9.11077i −2.00669 + 0.353833i
\(664\) −11.4080 19.0137i −0.442715 0.737876i
\(665\) 9.67989 + 16.9077i 0.375370 + 0.655651i
\(666\) −3.95488 1.41441i −0.153248 0.0548074i
\(667\) −3.03817 17.2303i −0.117639 0.667162i
\(668\) 31.7439 0.355757i 1.22821 0.0137647i
\(669\) 57.9551 21.0939i 2.24067 0.815539i
\(670\) 24.6990 29.7723i 0.954206 1.15021i
\(671\) 8.27028 9.85613i 0.319271 0.380492i
\(672\) −19.0742 15.1152i −0.735802 0.583080i
\(673\) −29.6835 + 17.1378i −1.14421 + 0.660613i −0.947471 0.319842i \(-0.896370\pi\)
−0.196744 + 0.980455i \(0.563037\pi\)
\(674\) 3.25067 5.70390i 0.125211 0.219706i
\(675\) 0.726766 4.12169i 0.0279732 0.158644i
\(676\) −0.502038 + 3.04645i −0.0193091 + 0.117171i
\(677\) 22.0117 + 12.7085i 0.845978 + 0.488425i 0.859292 0.511486i \(-0.170905\pi\)
−0.0133139 + 0.999911i \(0.504238\pi\)
\(678\) 17.7997 + 30.4349i 0.683594 + 1.16885i
\(679\) −13.3133 4.84565i −0.510918 0.185959i
\(680\) −28.6881 + 35.3803i −1.10014 + 1.35677i
\(681\) −42.5393 + 35.6947i −1.63011 + 1.36783i
\(682\) −4.70657 + 27.5956i −0.180224 + 1.05669i
\(683\) 1.72512 0.0660100 0.0330050 0.999455i \(-0.489492\pi\)
0.0330050 + 0.999455i \(0.489492\pi\)
\(684\) −20.6434 + 24.9837i −0.789321 + 0.955275i
\(685\) −31.0648 −1.18693
\(686\) −4.43800 + 26.0209i −0.169443 + 0.993482i
\(687\) −34.9569 + 29.3323i −1.33369 + 1.11910i
\(688\) 2.34922 1.42746i 0.0895632 0.0544214i
\(689\) 27.0676 + 9.85181i 1.03119 + 0.375324i
\(690\) 29.3038 + 50.1052i 1.11558 + 1.90747i
\(691\) −14.5248 8.38589i −0.552549 0.319014i 0.197601 0.980283i \(-0.436685\pi\)
−0.750149 + 0.661268i \(0.770018\pi\)
\(692\) −9.03813 1.48943i −0.343578 0.0566197i
\(693\) 3.63816 20.6330i 0.138202 0.783784i
\(694\) −15.6183 + 27.4052i −0.592864 + 1.04029i
\(695\) 11.3450 6.55004i 0.430340 0.248457i
\(696\) 21.8056 0.366585i 0.826539 0.0138954i
\(697\) −5.40828 + 6.44534i −0.204853 + 0.244135i
\(698\) −12.2761 + 14.7977i −0.464658 + 0.560102i
\(699\) 28.3567 10.3210i 1.07255 0.390376i
\(700\) 0.0837236 + 7.47059i 0.00316445 + 0.282362i
\(701\) 1.08176 + 6.13496i 0.0408574 + 0.231714i 0.998398 0.0565853i \(-0.0180213\pi\)
−0.957540 + 0.288299i \(0.906910\pi\)
\(702\) −8.38222 2.99780i −0.316366 0.113145i
\(703\) 0.617165 3.42724i 0.0232768 0.129261i
\(704\) 23.9659 + 12.7825i 0.903250 + 0.481758i
\(705\) 45.2063 7.97109i 1.70257 0.300209i
\(706\) −12.3407 33.3235i −0.464447 1.25415i
\(707\) −0.0643996 0.176936i −0.00242200 0.00665438i
\(708\) −12.7599 21.5396i −0.479545 0.809508i
\(709\) 34.9962 + 29.3653i 1.31431 + 1.10284i 0.987479 + 0.157752i \(0.0504247\pi\)
0.326829 + 0.945083i \(0.394020\pi\)
\(710\) −6.16061 7.25894i −0.231204 0.272423i
\(711\) −16.9549 29.3667i −0.635858 1.10134i
\(712\) 32.8422 12.5827i 1.23082 0.471557i
\(713\) 33.7675 + 5.95412i 1.26460 + 0.222984i
\(714\) −6.51952 35.7999i −0.243987 1.33978i
\(715\) 15.4718 26.7979i 0.578611 1.00218i
\(716\) 2.59074 + 13.7874i 0.0968203 + 0.515261i
\(717\) 15.5037 42.5962i 0.578998 1.59078i
\(718\) 13.9797 0.0783336i 0.521718 0.00292338i
\(719\) 30.0416 + 35.8022i 1.12036 + 1.33520i 0.935863 + 0.352363i \(0.114622\pi\)
0.184499 + 0.982833i \(0.440934\pi\)
\(720\) −37.3093 + 14.5344i −1.39044 + 0.541667i
\(721\) 11.1307i 0.414529i
\(722\) −23.2478 13.4738i −0.865192 0.501441i
\(723\) 70.4891i 2.62152i
\(724\) 3.97343 + 2.23507i 0.147671 + 0.0830656i
\(725\) −4.30339 5.12858i −0.159824 0.190471i
\(726\) 0.0108333 + 1.93336i 0.000402063 + 0.0717537i
\(727\) 12.7241 34.9591i 0.471910 1.29656i −0.444305 0.895876i \(-0.646549\pi\)
0.916215 0.400687i \(-0.131229\pi\)
\(728\) 15.6938 + 2.49601i 0.581652 + 0.0925082i
\(729\) 19.0009 32.9106i 0.703738 1.21891i
\(730\) −39.2807 + 7.15342i −1.45384 + 0.264760i
\(731\) 4.04771 + 0.713721i 0.149710 + 0.0263979i
\(732\) 14.9054 12.7945i 0.550921 0.472899i
\(733\) −5.28816 9.15936i −0.195323 0.338309i 0.751684 0.659524i \(-0.229242\pi\)
−0.947006 + 0.321215i \(0.895909\pi\)
\(734\) −34.0084 + 28.8627i −1.25527 + 1.06534i
\(735\) 22.6926 + 19.0414i 0.837030 + 0.702352i
\(736\) 15.8208 29.2664i 0.583164 1.07877i
\(737\) −11.7964 32.4104i −0.434527 1.19385i
\(738\) −6.93582 + 2.56854i −0.255311 + 0.0945491i
\(739\) 34.7564 6.12848i 1.27853 0.225440i 0.507176 0.861842i \(-0.330689\pi\)
0.771357 + 0.636402i \(0.219578\pi\)
\(740\) 2.72841 3.32660i 0.100298 0.122288i
\(741\) 6.77689 37.6334i 0.248955 1.38250i
\(742\) −6.72748 + 18.8109i −0.246974 + 0.690570i
\(743\) 3.19307 + 18.1088i 0.117142 + 0.664348i 0.985667 + 0.168702i \(0.0539575\pi\)
−0.868525 + 0.495646i \(0.834931\pi\)
\(744\) −13.9408 + 40.4025i −0.511094 + 1.48123i
\(745\) −47.4172 + 17.2584i −1.73723 + 0.632301i
\(746\) −21.6310 17.9450i −0.791967 0.657012i
\(747\) 18.7333 22.3254i 0.685415 0.816845i
\(748\) 14.3169 + 38.0048i 0.523479 + 1.38959i
\(749\) −8.16127 + 4.71191i −0.298206 + 0.172169i
\(750\) −23.5773 13.4368i −0.860922 0.490642i
\(751\) −7.68759 + 43.5985i −0.280524 + 1.59093i 0.440324 + 0.897839i \(0.354863\pi\)
−0.720848 + 0.693093i \(0.756248\pi\)
\(752\) −17.3592 19.7705i −0.633023 0.720957i
\(753\) −52.1009 30.0805i −1.89866 1.09619i
\(754\) −12.2922 + 7.18907i −0.447657 + 0.261810i
\(755\) 15.4628 + 5.62798i 0.562747 + 0.204823i
\(756\) 2.04653 5.82509i 0.0744316 0.211857i
\(757\) −4.01307 + 3.36736i −0.145857 + 0.122389i −0.712797 0.701371i \(-0.752572\pi\)
0.566939 + 0.823760i \(0.308127\pi\)
\(758\) −50.8552 8.67362i −1.84714 0.315040i
\(759\) 51.7531 1.87852
\(760\) −16.9760 28.5286i −0.615785 1.03484i
\(761\) −35.8399 −1.29919 −0.649597 0.760279i \(-0.725062\pi\)
−0.649597 + 0.760279i \(0.725062\pi\)
\(762\) 29.2527 + 4.98919i 1.05971 + 0.180739i
\(763\) −9.99425 + 8.38617i −0.361816 + 0.303600i
\(764\) 15.8131 45.0093i 0.572098 1.62838i
\(765\) −56.2578 20.4762i −2.03401 0.740318i
\(766\) −23.7389 + 13.8836i −0.857723 + 0.501636i
\(767\) 14.1569 + 8.17351i 0.511178 + 0.295128i
\(768\) 32.9298 + 25.2056i 1.18825 + 0.909527i
\(769\) 5.00228 28.3693i 0.180387 1.02302i −0.751354 0.659900i \(-0.770599\pi\)
0.931740 0.363125i \(-0.118290\pi\)
\(770\) 18.6456 + 10.6262i 0.671943 + 0.382942i
\(771\) −20.0625 + 11.5831i −0.722535 + 0.417156i
\(772\) 11.3993 + 30.2597i 0.410268 + 1.08907i
\(773\) 1.14807 1.36822i 0.0412933