Properties

Label 76.2.k.a.67.2
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 67.2
Character \(\chi\) \(=\) 76.67
Dual form 76.2.k.a.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.22869 + 0.700233i) q^{2} +(-1.98545 + 1.66599i) q^{3} +(1.01935 - 1.72074i) q^{4} +(-2.53027 - 0.920944i) q^{5} +(1.27292 - 3.43726i) q^{6} +(-1.43753 - 0.829960i) q^{7} +(-0.0475435 + 2.82803i) q^{8} +(0.645546 - 3.66107i) q^{9} +O(q^{10})\) \(q+(-1.22869 + 0.700233i) q^{2} +(-1.98545 + 1.66599i) q^{3} +(1.01935 - 1.72074i) q^{4} +(-2.53027 - 0.920944i) q^{5} +(1.27292 - 3.43726i) q^{6} +(-1.43753 - 0.829960i) q^{7} +(-0.0475435 + 2.82803i) q^{8} +(0.645546 - 3.66107i) q^{9} +(3.75379 - 0.640228i) q^{10} +(-2.94034 + 1.69761i) q^{11} +(0.842867 + 5.11466i) q^{12} +(-2.17565 + 2.59283i) q^{13} +(2.34744 + 0.0131536i) q^{14} +(6.55803 - 2.38693i) q^{15} +(-1.92186 - 3.50805i) 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} +(2.42404 - 4.14475i) q^{22} +(-2.01148 - 5.52649i) q^{23} +(-4.61708 - 5.69412i) q^{24} +(1.72393 + 1.44655i) q^{25} +(0.857602 - 4.70924i) q^{26} +(0.929885 + 1.61061i) q^{27} +(-2.89349 + 1.62760i) q^{28} +(-2.92975 - 0.516594i) q^{29} +(-6.38636 + 7.52493i) q^{30} +(-2.91510 + 5.04911i) q^{31} +(4.81782 + 2.96455i) q^{32} +(3.00971 - 8.26910i) q^{33} +(-5.40038 - 6.50965i) q^{34} +(2.87301 + 3.42391i) q^{35} +(-5.64171 - 4.84272i) q^{36} +0.798908i q^{37} +(-5.81188 + 2.05476i) q^{38} -8.77256i q^{39} +(2.72475 - 7.11190i) q^{40} +(0.904276 + 1.07767i) q^{41} +(-4.68265 + 3.88471i) q^{42} +(-0.235045 + 0.645782i) q^{43} +(-0.0760962 + 6.79000i) q^{44} +(-5.00506 + 8.66901i) q^{45} +(6.34131 + 5.38183i) q^{46} +(6.47756 + 1.14217i) q^{47} +(9.66016 + 3.76327i) q^{48} +(-2.12233 - 3.67599i) q^{49} +(-3.13109 - 0.570203i) q^{50} +(-11.8746 - 9.96394i) q^{51} +(2.24384 + 6.38671i) q^{52} +(-2.91069 - 7.99704i) q^{53} +(-2.27034 - 1.32780i) 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} +(2.57764 - 13.7177i) q^{60} +(3.56100 - 1.29610i) q^{61} +(0.0462000 - 8.24503i) q^{62} +(-3.96654 + 4.72714i) q^{63} +(-7.99548 - 0.268908i) q^{64} +(7.89284 - 4.55693i) q^{65} +(2.09231 + 12.2676i) q^{66} +(-1.76401 + 10.0042i) q^{67} +(11.1936 + 4.21680i) q^{68} +(13.2008 + 7.62148i) q^{69} +(-5.92757 - 2.19515i) q^{70} +(2.34943 + 0.855121i) q^{71} +(10.3229 + 1.99968i) q^{72} +(-8.03196 + 6.73961i) q^{73} +(-0.559422 - 0.981609i) q^{74} -5.83271 q^{75} +(5.70218 - 6.59433i) q^{76} +5.63578 q^{77} +(6.14284 + 10.7787i) q^{78} +(-6.98750 + 5.86321i) q^{79} +(1.63212 + 10.6463i) q^{80} +(5.95057 + 2.16583i) q^{81} +(-1.86570 - 0.690921i) q^{82} +(-6.78922 - 3.91976i) q^{83} +(3.03332 - 8.05204i) q^{84} +(2.79647 - 15.8596i) q^{85} +(-0.163400 - 0.958050i) q^{86} +(6.67752 - 3.85527i) q^{87} +(-4.66108 - 8.39607i) q^{88} +(-7.99275 + 9.52539i) q^{89} +(0.0793226 - 14.1562i) q^{90} +(5.27951 - 1.92159i) q^{91} +(-11.5600 - 2.17219i) 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} +(5.18173 + 3.03051i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.22869 + 0.700233i −0.868813 + 0.495140i
\(3\) −1.98545 + 1.66599i −1.14630 + 0.961861i −0.999627 0.0273235i \(-0.991302\pi\)
−0.146675 + 0.989185i \(0.546857\pi\)
\(4\) 1.01935 1.72074i 0.509674 0.860368i
\(5\) −2.53027 0.920944i −1.13157 0.411859i −0.292710 0.956201i \(-0.594557\pi\)
−0.838863 + 0.544342i \(0.816779\pi\)
\(6\) 1.27292 3.43726i 0.519667 1.40326i
\(7\) −1.43753 0.829960i −0.543336 0.313695i 0.203094 0.979159i \(-0.434900\pi\)
−0.746430 + 0.665464i \(0.768234\pi\)
\(8\) −0.0475435 + 2.82803i −0.0168092 + 0.999859i
\(9\) 0.645546 3.66107i 0.215182 1.22036i
\(10\) 3.75379 0.640228i 1.18705 0.202458i
\(11\) −2.94034 + 1.69761i −0.886546 + 0.511848i −0.872811 0.488058i \(-0.837705\pi\)
−0.0137349 + 0.999906i \(0.504372\pi\)
\(12\) 0.842867 + 5.11466i 0.243315 + 1.47648i
\(13\) −2.17565 + 2.59283i −0.603416 + 0.719123i −0.978125 0.208020i \(-0.933298\pi\)
0.374709 + 0.927143i \(0.377743\pi\)
\(14\) 2.34744 + 0.0131536i 0.627381 + 0.00351545i
\(15\) 6.55803 2.38693i 1.69328 0.616302i
\(16\) −1.92186 3.50805i −0.480466 0.877014i
\(17\) 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
\(22\) 2.42404 4.14475i 0.516807 0.883664i
\(23\) −2.01148 5.52649i −0.419422 1.15235i −0.952034 0.305993i \(-0.901011\pi\)
0.532611 0.846360i \(-0.321211\pi\)
\(24\) −4.61708 5.69412i −0.942457 1.16231i
\(25\) 1.72393 + 1.44655i 0.344785 + 0.289309i
\(26\) 0.857602 4.70924i 0.168190 0.923559i
\(27\) 0.929885 + 1.61061i 0.178957 + 0.309962i
\(28\) −2.89349 + 1.62760i −0.546818 + 0.307587i
\(29\) −2.92975 0.516594i −0.544040 0.0959290i −0.105128 0.994459i \(-0.533525\pi\)
−0.438913 + 0.898530i \(0.644636\pi\)
\(30\) −6.38636 + 7.52493i −1.16598 + 1.37386i
\(31\) −2.91510 + 5.04911i −0.523568 + 0.906846i 0.476056 + 0.879415i \(0.342066\pi\)
−0.999624 + 0.0274312i \(0.991267\pi\)
\(32\) 4.81782 + 2.96455i 0.851679 + 0.524064i
\(33\) 3.00971 8.26910i 0.523923 1.43947i
\(34\) −5.40038 6.50965i −0.926157 1.11640i
\(35\) 2.87301 + 3.42391i 0.485627 + 0.578747i
\(36\) −5.64171 4.84272i −0.940284 0.807120i
\(37\) 0.798908i 0.131340i 0.997841 + 0.0656699i \(0.0209184\pi\)
−0.997841 + 0.0656699i \(0.979082\pi\)
\(38\) −5.81188 + 2.05476i −0.942812 + 0.333325i
\(39\) 8.77256i 1.40473i
\(40\) 2.72475 7.11190i 0.430821 1.12449i
\(41\) 0.904276 + 1.07767i 0.141224 + 0.168304i 0.832020 0.554745i \(-0.187184\pi\)
−0.690796 + 0.723050i \(0.742740\pi\)
\(42\) −4.68265 + 3.88471i −0.722549 + 0.599424i
\(43\) −0.235045 + 0.645782i −0.0358441 + 0.0984808i −0.956324 0.292310i \(-0.905576\pi\)
0.920480 + 0.390791i \(0.127798\pi\)
\(44\) −0.0760962 + 6.79000i −0.0114719 + 1.02363i
\(45\) −5.00506 + 8.66901i −0.746110 + 1.29230i
\(46\) 6.34131 + 5.38183i 0.934975 + 0.793507i
\(47\) 6.47756 + 1.14217i 0.944849 + 0.166602i 0.624788 0.780794i \(-0.285185\pi\)
0.320061 + 0.947397i \(0.396296\pi\)
\(48\) 9.66016 + 3.76327i 1.39432 + 0.543181i
\(49\) −2.12233 3.67599i −0.303190 0.525141i
\(50\) −3.13109 0.570203i −0.442803 0.0806389i
\(51\) −11.8746 9.96394i −1.66277 1.39523i
\(52\) 2.24384 + 6.38671i 0.311165 + 0.885678i
\(53\) −2.91069 7.99704i −0.399813 1.09848i −0.962375 0.271723i \(-0.912406\pi\)
0.562562 0.826755i \(-0.309816\pi\)
\(54\) −2.27034 1.32780i −0.308954 0.180690i
\(55\) 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 \(0.0462428\pi\)
−0.880281 + 0.474452i \(0.842646\pi\)
\(60\) 2.57764 13.7177i 0.332771 1.77095i
\(61\) 3.56100 1.29610i 0.455939 0.165948i −0.103833 0.994595i \(-0.533111\pi\)
0.559772 + 0.828647i \(0.310889\pi\)
\(62\) 0.0462000 8.24503i 0.00586740 1.04712i
\(63\) −3.96654 + 4.72714i −0.499737 + 0.595563i
\(64\) −7.99548 0.268908i −0.999435 0.0336136i
\(65\) 7.89284 4.55693i 0.978986 0.565218i
\(66\) 2.09231 + 12.2676i 0.257545 + 1.51004i
\(67\) −1.76401 + 10.0042i −0.215509 + 1.22221i 0.664513 + 0.747277i \(0.268639\pi\)
−0.880022 + 0.474934i \(0.842472\pi\)
\(68\) 11.1936 + 4.21680i 1.35743 + 0.511363i
\(69\) 13.2008 + 7.62148i 1.58919 + 0.917518i
\(70\) −5.92757 2.19515i −0.708480 0.262370i
\(71\) 2.34943 + 0.855121i 0.278825 + 0.101484i 0.477648 0.878551i \(-0.341489\pi\)
−0.198822 + 0.980036i \(0.563712\pi\)
\(72\) 10.3229 + 1.99968i 1.21657 + 0.235665i
\(73\) −8.03196 + 6.73961i −0.940069 + 0.788812i −0.977597 0.210484i \(-0.932496\pi\)
0.0375281 + 0.999296i \(0.488052\pi\)
\(74\) −0.559422 0.981609i −0.0650315 0.114110i
\(75\) −5.83271 −0.673503
\(76\) 5.70218 6.59433i 0.654085 0.756421i
\(77\) 5.63578 0.642257
\(78\) 6.14284 + 10.7787i 0.695539 + 1.22045i
\(79\) −6.98750 + 5.86321i −0.786156 + 0.659663i −0.944791 0.327674i \(-0.893735\pi\)
0.158635 + 0.987337i \(0.449291\pi\)
\(80\) 1.63212 + 10.6463i 0.182476 + 1.19029i
\(81\) 5.95057 + 2.16583i 0.661174 + 0.240648i
\(82\) −1.86570 0.690921i −0.206032 0.0762995i
\(83\) −6.78922 3.91976i −0.745213 0.430249i 0.0787485 0.996895i \(-0.474908\pi\)
−0.823962 + 0.566645i \(0.808241\pi\)
\(84\) 3.03332 8.05204i 0.330962 0.878550i
\(85\) 2.79647 15.8596i 0.303320 1.72021i
\(86\) −0.163400 0.958050i −0.0176199 0.103309i
\(87\) 6.67752 3.85527i 0.715905 0.413328i
\(88\) −4.66108 8.39607i −0.496873 0.895025i
\(89\) −7.99275 + 9.52539i −0.847230 + 1.00969i 0.152541 + 0.988297i \(0.451254\pi\)
−0.999771 + 0.0213925i \(0.993190\pi\)
\(90\) 0.0793226 14.1562i 0.00836133 1.49220i
\(91\) 5.27951 1.92159i 0.553443 0.201437i
\(92\) −11.5600 2.17219i −1.20522 0.226467i
\(93\) −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 \(0.587098\pi\)
\(98\) 5.18173 + 3.03051i 0.523434 + 0.306128i
\(99\) 4.31694 + 11.8607i 0.433869 + 1.19204i
\(100\) 4.24640 1.49189i 0.424640 0.149189i
\(101\) −0.0868957 0.0729142i −0.00864645 0.00725523i 0.638454 0.769660i \(-0.279574\pi\)
−0.647101 + 0.762405i \(0.724019\pi\)
\(102\) 21.5672 + 3.92761i 2.13547 + 0.388892i
\(103\) −3.35278 5.80718i −0.330359 0.572199i 0.652223 0.758027i \(-0.273837\pi\)
−0.982582 + 0.185828i \(0.940503\pi\)
\(104\) −7.22917 6.27606i −0.708878 0.615418i
\(105\) −11.4084 2.01161i −1.11335 0.196313i
\(106\) 9.17612 + 7.78771i 0.891263 + 0.756409i
\(107\) 2.83864 4.91666i 0.274421 0.475312i −0.695568 0.718461i \(-0.744847\pi\)
0.969989 + 0.243149i \(0.0781804\pi\)
\(108\) 3.71931 + 0.0416827i 0.357891 + 0.00401091i
\(109\) −2.68819 + 7.38575i −0.257482 + 0.707427i 0.741839 + 0.670579i \(0.233954\pi\)
−0.999321 + 0.0368484i \(0.988268\pi\)
\(110\) −9.95057 + 8.25495i −0.948750 + 0.787079i
\(111\) −1.33098 1.58619i −0.126331 0.150555i
\(112\) −0.148804 + 6.63801i −0.0140607 + 0.627233i
\(113\) 9.61911i 0.904890i −0.891792 0.452445i \(-0.850552\pi\)
0.891792 0.452445i \(-0.149448\pi\)
\(114\) 8.11601 13.7622i 0.760134 1.28895i
\(115\) 15.8360i 1.47671i
\(116\) −3.87535 + 4.51473i −0.359817 + 0.419182i
\(117\) 8.08808 + 9.63900i 0.747743 + 0.891126i
\(118\) −4.36098 5.25675i −0.401460 0.483923i
\(119\) 3.39545 9.32892i 0.311260 0.855180i
\(120\) 6.43850 + 18.6598i 0.587752 + 1.70340i
\(121\) 0.263736 0.456803i 0.0239760 0.0415276i
\(122\) −3.46778 + 4.08602i −0.313958 + 0.369931i
\(123\) −3.59079 0.633154i −0.323771 0.0570896i
\(124\) 5.71668 + 10.1629i 0.513373 + 0.912657i
\(125\) 3.70184 + 6.41177i 0.331102 + 0.573486i
\(126\) 1.56354 8.58568i 0.139291 0.764873i
\(127\) 6.20191 + 5.20402i 0.550331 + 0.461782i 0.875053 0.484027i \(-0.160826\pi\)
−0.324722 + 0.945809i \(0.605271\pi\)
\(128\) 10.0122 5.26829i 0.884966 0.465656i
\(129\) −0.609196 1.67375i −0.0536367 0.147366i
\(130\) −6.50692 + 11.1259i −0.570695 + 0.975804i
\(131\) −5.31618 + 0.937385i −0.464476 + 0.0818997i −0.400989 0.916083i \(-0.631333\pi\)
−0.0634875 + 0.997983i \(0.520222\pi\)
\(132\) −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
\(136\) −16.7062 + 2.65703i −1.43255 + 0.227838i
\(137\) 10.8411 3.94583i 0.926216 0.337115i 0.165507 0.986209i \(-0.447074\pi\)
0.760709 + 0.649093i \(0.224852\pi\)
\(138\) −21.5565 0.120789i −1.83501 0.0102822i
\(139\) 3.12723 3.72688i 0.265248 0.316110i −0.616938 0.787012i \(-0.711627\pi\)
0.882186 + 0.470902i \(0.156071\pi\)
\(140\) 8.82024 1.45353i 0.745447 0.122845i
\(141\) −14.7637 + 8.52385i −1.24333 + 0.717837i
\(142\) −3.48549 + 0.594469i −0.292496 + 0.0498867i
\(143\) 1.99553 11.3172i 0.166875 0.946393i
\(144\) −14.0839 + 4.77147i −1.17366 + 0.397623i
\(145\) 6.93731 + 4.00526i 0.576112 + 0.332619i
\(146\) 5.14947 13.9051i 0.426173 1.15080i
\(147\) 10.3380 + 3.76271i 0.852660 + 0.310343i
\(148\) 1.37471 + 0.814365i 0.113000 + 0.0669404i
\(149\) 14.3556 12.0458i 1.17606 0.986831i 0.176062 0.984379i \(-0.443664\pi\)
0.999997 0.00245146i \(-0.000780324\pi\)
\(150\) 7.16658 4.08426i 0.585149 0.333478i
\(151\) 6.11110 0.497314 0.248657 0.968592i \(-0.420011\pi\)
0.248657 + 0.968592i \(0.420011\pi\)
\(152\) −2.38864 + 12.0952i −0.193744 + 0.981052i
\(153\) 22.2339 1.79750
\(154\) −6.92462 + 3.94636i −0.558002 + 0.318007i
\(155\) 12.0260 10.0910i 0.965948 0.810527i
\(156\) −15.0953 8.94229i −1.20859 0.715956i
\(157\) 3.67562 + 1.33782i 0.293347 + 0.106769i 0.484501 0.874790i \(-0.339001\pi\)
−0.191155 + 0.981560i \(0.561223\pi\)
\(158\) 4.47985 12.0969i 0.356397 0.962381i
\(159\) 19.1020 + 11.0286i 1.51489 + 0.874622i
\(160\) −9.46023 11.9381i −0.747897 0.943788i
\(161\) −1.69520 + 9.61396i −0.133601 + 0.757686i
\(162\) −8.82797 + 1.50566i −0.693591 + 0.118295i
\(163\) 3.89527 2.24893i 0.305101 0.176150i −0.339631 0.940559i \(-0.610302\pi\)
0.644732 + 0.764409i \(0.276969\pi\)
\(164\) 2.77616 0.457496i 0.216782 0.0357244i
\(165\) −15.2308 + 18.1513i −1.18571 + 1.41308i
\(166\) 11.0866 + 0.0621222i 0.860485 + 0.00482162i
\(167\) −14.9157 + 5.42887i −1.15421 + 0.420099i −0.847026 0.531551i \(-0.821609\pi\)
−0.307185 + 0.951650i \(0.599387\pi\)
\(168\) 1.91131 + 12.0175i 0.147461 + 0.927169i
\(169\) 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 \(0.500148\pi\)
\(174\) −5.50500 + 9.41274i −0.417333 + 0.713578i
\(175\) −1.27763 3.51025i −0.0965794 0.265350i
\(176\) 11.6062 + 7.05231i 0.874852 + 0.531588i
\(177\) −9.58909 8.04620i −0.720760 0.604790i
\(178\) 3.15060 17.3005i 0.236148 1.29673i
\(179\) −3.50718 6.07462i −0.262139 0.454039i 0.704671 0.709534i \(-0.251095\pi\)
−0.966810 + 0.255496i \(0.917761\pi\)
\(180\) 9.81519 + 17.4491i 0.731581 + 1.30058i
\(181\) 2.24482 + 0.395823i 0.166856 + 0.0294213i 0.256452 0.966557i \(-0.417446\pi\)
−0.0895957 + 0.995978i \(0.528558\pi\)
\(182\) −5.14132 + 6.05792i −0.381100 + 0.449043i
\(183\) −4.91090 + 8.50593i −0.363024 + 0.628776i
\(184\) 15.7247 5.42577i 1.15924 0.399993i
\(185\) 0.735750 2.02146i 0.0540934 0.148620i
\(186\) 13.6444 + 16.4471i 1.00046 + 1.20596i
\(187\) −13.0525 15.5553i −0.954491 1.13752i
\(188\) 8.56825 9.98190i 0.624904 0.728005i
\(189\) 3.08707i 0.224551i
\(190\) 16.5980 + 0.153327i 1.20414 + 0.0111235i
\(191\) 23.8531i 1.72595i 0.505245 + 0.862976i \(0.331402\pi\)
−0.505245 + 0.862976i \(0.668598\pi\)
\(192\) 16.3226 12.7865i 1.17799 0.922786i
\(193\) 10.3925 + 12.3853i 0.748066 + 0.891511i 0.997031 0.0770018i \(-0.0245347\pi\)
−0.248965 + 0.968513i \(0.580090\pi\)
\(194\) 9.28992 7.70688i 0.666978 0.553322i
\(195\) −8.07904 + 22.1970i −0.578552 + 1.58956i
\(196\) −8.48880 0.0951348i −0.606343 0.00679534i
\(197\) −1.59411 + 2.76108i −0.113576 + 0.196719i −0.917209 0.398405i \(-0.869564\pi\)
0.803634 + 0.595124i \(0.202897\pi\)
\(198\) −13.6094 11.5502i −0.967179 0.820839i
\(199\) 11.2456 + 1.98291i 0.797183 + 0.140565i 0.557381 0.830257i \(-0.311806\pi\)
0.239802 + 0.970822i \(0.422917\pi\)
\(200\) −4.17283 + 4.80654i −0.295064 + 0.339874i
\(201\) −13.1646 22.8018i −0.928559 1.60831i
\(202\) 0.157825 + 0.0287415i 0.0111045 + 0.00202224i
\(203\) 3.78286 + 3.17419i 0.265505 + 0.222785i
\(204\) −29.2496 + 10.2763i −2.04788 + 0.719483i
\(205\) −1.29559 3.55960i −0.0904878 0.248613i
\(206\) 8.18590 + 4.78749i 0.570339 + 0.333560i
\(207\) −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 0.953337 0.301909i \(-0.0976238\pi\)
−0.999102 + 0.0423589i \(0.986513\pi\)
\(212\) −16.7278 3.14324i −1.14887 0.215879i
\(213\) −6.08930 + 2.21632i −0.417232 + 0.151860i
\(214\) −0.0449881 + 8.02875i −0.00307532 + 0.548834i
\(215\) 1.18946 1.41754i 0.0811204 0.0966755i
\(216\) −4.59906 + 2.55317i −0.312926 + 0.173721i
\(217\) 8.38111 4.83884i 0.568947 0.328482i
\(218\) −1.86880 10.9571i −0.126571 0.742112i
\(219\) 4.71893 26.7624i 0.318875 1.80843i
\(220\) 6.44576 17.1105i 0.434573 1.15359i
\(221\) −17.5311 10.1216i −1.17927 0.680852i
\(222\) 2.74606 + 1.01694i 0.184303 + 0.0682529i
\(223\) −22.3608 8.13865i −1.49739 0.545004i −0.542004 0.840376i \(-0.682334\pi\)
−0.955382 + 0.295372i \(0.904557\pi\)
\(224\) −4.46532 8.26024i −0.298352 0.551911i
\(225\) 6.40879 5.37761i 0.427253 0.358507i
\(226\) 6.73562 + 11.8189i 0.448047 + 0.786180i
\(227\) 21.4255 1.42206 0.711031 0.703161i \(-0.248229\pi\)
0.711031 + 0.703161i \(0.248229\pi\)
\(228\) −0.335314 + 22.5925i −0.0222067 + 1.49623i
\(229\) −17.6065 −1.16347 −0.581735 0.813378i \(-0.697626\pi\)
−0.581735 + 0.813378i \(0.697626\pi\)
\(230\) −11.0889 19.4575i −0.731180 1.28299i
\(231\) −11.1896 + 9.38917i −0.736220 + 0.617762i
\(232\) 1.60023 8.26085i 0.105060 0.542351i
\(233\) 10.9408 + 3.98214i 0.716758 + 0.260879i 0.674549 0.738230i \(-0.264338\pi\)
0.0422092 + 0.999109i \(0.486560\pi\)
\(234\) −16.6873 6.17978i −1.09088 0.403985i
\(235\) −15.3381 8.85547i −1.00055 0.577667i
\(236\) 9.03923 + 3.40520i 0.588404 + 0.221660i
\(237\) 4.10529 23.2823i 0.266667 1.51235i
\(238\) 2.36047 + 13.8399i 0.153007 + 0.897110i
\(239\) −15.1464 + 8.74479i −0.979741 + 0.565654i −0.902192 0.431335i \(-0.858043\pi\)
−0.0775489 + 0.996989i \(0.524709\pi\)
\(240\) −20.9771 18.4186i −1.35407 1.18891i
\(241\) 17.4817 20.8339i 1.12610 1.34203i 0.193504 0.981100i \(-0.438015\pi\)
0.932593 0.360930i \(-0.117541\pi\)
\(242\) −0.00417981 + 0.745945i −0.000268688 + 0.0479512i
\(243\) −20.6657 + 7.52168i −1.32570 + 0.482516i
\(244\) 1.39965 7.44870i 0.0896035 0.476854i
\(245\) 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
\(250\) −9.03813 5.28591i −0.571622 0.334310i
\(251\) 7.93890 + 21.8120i 0.501099 + 1.37676i 0.890203 + 0.455565i \(0.150563\pi\)
−0.389103 + 0.921194i \(0.627215\pi\)
\(252\) 4.09087 + 11.6440i 0.257701 + 0.733501i
\(253\) 15.2962 + 12.8351i 0.961666 + 0.806934i
\(254\) −11.2642 2.05133i −0.706781 0.128712i
\(255\) 20.8697 + 36.1473i 1.30691 + 2.26363i
\(256\) −8.61289 + 13.4840i −0.538306 + 0.842750i
\(257\) −8.80240 1.55210i −0.549079 0.0968174i −0.107775 0.994175i \(-0.534373\pi\)
−0.441303 + 0.897358i \(0.645484\pi\)
\(258\) 1.92053 + 1.62994i 0.119567 + 0.101476i
\(259\) 0.663062 1.14846i 0.0412007 0.0713617i
\(260\) 0.204267 18.2266i 0.0126681 1.13036i
\(261\) −3.78258 + 10.3925i −0.234136 + 0.643282i
\(262\) 5.87553 4.87432i 0.362992 0.301136i
\(263\) −0.382797 0.456200i −0.0236043 0.0281305i 0.754113 0.656744i \(-0.228067\pi\)
−0.777717 + 0.628614i \(0.783623\pi\)
\(264\) 23.2422 + 8.90468i 1.43046 + 0.548045i
\(265\) 22.9153i 1.40768i
\(266\) 10.0601 + 1.86985i 0.616827 + 0.114648i
\(267\) 32.2281i 1.97233i
\(268\) 15.4165 + 13.2332i 0.941712 + 0.808345i
\(269\) 6.62803 + 7.89898i 0.404118 + 0.481609i 0.929271 0.369399i \(-0.120436\pi\)
−0.525153 + 0.851008i \(0.675992\pi\)
\(270\) 4.52175 + 5.45055i 0.275185 + 0.331710i
\(271\) 4.03735 11.0925i 0.245252 0.673823i −0.754593 0.656193i \(-0.772166\pi\)
0.999845 0.0176301i \(-0.00561214\pi\)
\(272\) 18.6662 14.9629i 1.13181 0.907260i
\(273\) −7.28088 + 12.6108i −0.440659 + 0.763243i
\(274\) −10.5573 + 12.4395i −0.637790 + 0.751496i
\(275\) −7.52460 1.32679i −0.453750 0.0800084i
\(276\) 26.5707 14.9461i 1.59937 0.899652i
\(277\) −14.1103 24.4398i −0.847807 1.46844i −0.883161 0.469070i \(-0.844589\pi\)
0.0353540 0.999375i \(-0.488744\pi\)
\(278\) −1.23270 + 6.76896i −0.0739323 + 0.405976i
\(279\) 16.6033 + 13.9318i 0.994015 + 0.834078i
\(280\) −9.81952 + 7.96215i −0.586828 + 0.475830i
\(281\) 1.73634 + 4.77054i 0.103581 + 0.284587i 0.980647 0.195783i \(-0.0627248\pi\)
−0.877066 + 0.480370i \(0.840503\pi\)
\(282\) 12.1713 20.8112i 0.724793 1.23929i
\(283\) 4.41352 0.778223i 0.262357 0.0462605i −0.0409225 0.999162i \(-0.513030\pi\)
0.303279 + 0.952902i \(0.401919\pi\)
\(284\) 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
\(288\) 13.9636 15.7247i 0.822812 0.926584i
\(289\) −17.6378 + 6.41965i −1.03752 + 0.377626i
\(290\) −11.3284 0.0634773i −0.665227 0.00372751i
\(291\) 14.2195 16.9462i 0.833565 0.993404i
\(292\) 3.40974 + 20.6909i 0.199540 + 1.21084i
\(293\) −19.7434 + 11.3988i −1.15342 + 0.665928i −0.949719 0.313105i \(-0.898631\pi\)
−0.203702 + 0.979033i \(0.565298\pi\)
\(294\) −15.3369 + 2.61579i −0.894466 + 0.152556i
\(295\) 2.25824 12.8071i 0.131480 0.745659i
\(296\) −2.25933 0.0379829i −0.131321 0.00220771i
\(297\) −5.46836 3.15716i −0.317306 0.183197i
\(298\) −9.20372 + 24.8528i −0.533157 + 1.43968i
\(299\) 18.7055 + 6.80826i 1.08177 + 0.393732i
\(300\) −5.94556 + 10.0366i −0.343267 + 0.579461i
\(301\) 0.873858 0.733254i 0.0503684 0.0422641i
\(302\) −7.50863 + 4.27919i −0.432073 + 0.246240i
\(303\) 0.294002 0.0168900
\(304\) −5.53459 16.5339i −0.317430 0.948282i
\(305\) −10.2039 −0.584275
\(306\) −27.3185 + 15.5689i −1.56169 + 0.890015i
\(307\) 25.9825 21.8019i 1.48290 1.24430i 0.579882 0.814700i \(-0.303098\pi\)
0.903019 0.429602i \(-0.141346\pi\)
\(308\) 5.74482 9.69769i 0.327341 0.552577i
\(309\) 16.3315 + 5.94418i 0.929067 + 0.338153i
\(310\) −7.71011 + 20.8196i −0.437905 + 1.18248i
\(311\) −15.6547 9.03827i −0.887699 0.512513i −0.0145095 0.999895i \(-0.504619\pi\)
−0.873189 + 0.487382i \(0.837952\pi\)
\(312\) 24.8090 + 0.417078i 1.40454 + 0.0236124i
\(313\) 0.100851 0.571953i 0.00570042 0.0323287i −0.981825 0.189789i \(-0.939220\pi\)
0.987525 + 0.157460i \(0.0503307\pi\)
\(314\) −5.45298 + 0.930033i −0.307729 + 0.0524848i
\(315\) 14.3899 8.30799i 0.810777 0.468102i
\(316\) 2.96634 + 18.0003i 0.166870 + 1.01260i
\(317\) −0.495890 + 0.590979i −0.0278520 + 0.0331927i −0.779791 0.626040i \(-0.784674\pi\)
0.751939 + 0.659233i \(0.229119\pi\)
\(318\) −31.1930 0.174786i −1.74922 0.00980152i
\(319\) 9.49143 3.45460i 0.531418 0.193420i
\(320\) 19.9831 + 8.04380i 1.11709 + 0.449662i
\(321\) 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
\(326\) −3.21129 + 5.49083i −0.177857 + 0.304109i
\(327\) −6.96733 19.1426i −0.385294 1.05859i
\(328\) −3.09068 + 2.50608i −0.170655 + 0.138375i
\(329\) −8.36375 7.01802i −0.461109 0.386916i
\(330\) 6.00370 32.9674i 0.330493 1.81480i
\(331\) −11.5517 20.0081i −0.634937 1.09974i −0.986528 0.163590i \(-0.947693\pi\)
0.351591 0.936154i \(-0.385641\pi\)
\(332\) −13.6654 + 7.68685i −0.749988 + 0.421871i
\(333\) 2.92486 + 0.515732i 0.160282 + 0.0282620i
\(334\) 14.5253 17.1149i 0.794787 0.936483i
\(335\) 13.6768 23.6889i 0.747242 1.29426i
\(336\) −10.7634 13.4274i −0.587194 0.732523i
\(337\) −1.58775 + 4.36231i −0.0864903 + 0.237630i −0.975396 0.220460i \(-0.929244\pi\)
0.888906 + 0.458090i \(0.151466\pi\)
\(338\) −1.39395 1.68028i −0.0758211 0.0913953i
\(339\) 16.0254 + 19.0983i 0.870378 + 1.03728i
\(340\) −24.4396 20.9784i −1.32542 1.13771i
\(341\) 19.7948i 1.07195i
\(342\) 3.77077 + 22.6042i 0.203900 + 1.22229i
\(343\) 18.6652i 1.00783i
\(344\) −1.81511 0.695417i −0.0978643 0.0374944i
\(345\) −26.3827 31.4416i −1.42039 1.69276i
\(346\) 4.98502 4.13555i 0.267996 0.222328i
\(347\) −7.62858 + 20.9593i −0.409524 + 1.12516i 0.547919 + 0.836532i \(0.315420\pi\)
−0.957442 + 0.288625i \(0.906802\pi\)
\(348\) 0.172815 15.4201i 0.00926383 0.826604i
\(349\) 6.79776 11.7741i 0.363876 0.630251i −0.624719 0.780849i \(-0.714787\pi\)
0.988595 + 0.150598i \(0.0481200\pi\)
\(350\) 4.02779 + 3.41836i 0.215295 + 0.182719i
\(351\) −6.19914 1.09308i −0.330886 0.0583441i
\(352\) −19.1987 0.538022i −1.02329 0.0286767i
\(353\) 12.5636 + 21.7608i 0.668692 + 1.15821i 0.978270 + 0.207335i \(0.0664789\pi\)
−0.309578 + 0.950874i \(0.600188\pi\)
\(354\) 17.4162 + 3.17167i 0.925661 + 0.168572i
\(355\) −5.15717 4.32738i −0.273714 0.229674i
\(356\) 8.24329 + 23.4631i 0.436894 + 1.24354i
\(357\) 8.80041 + 24.1789i 0.465767 + 1.27968i
\(358\) 8.56289 + 5.00797i 0.452563 + 0.264679i
\(359\) 9.73513 1.71657i 0.513800 0.0905969i 0.0892644 0.996008i \(-0.471548\pi\)
0.424536 + 0.905411i \(0.360437\pi\)
\(360\) −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
\(364\) 2.07512 11.0434i 0.108766 0.578832i
\(365\) 26.5299 9.65608i 1.38864 0.505422i
\(366\) 0.0778303 13.8899i 0.00406826 0.726037i
\(367\) −20.2739 + 24.1615i −1.05829 + 1.26122i −0.0942270 + 0.995551i \(0.530038\pi\)
−0.964064 + 0.265671i \(0.914406\pi\)
\(368\) −15.5214 + 17.6775i −0.809111 + 0.921505i
\(369\) 4.52920 2.61493i 0.235781 0.136128i
\(370\) 0.511484 + 2.99894i 0.0265908 + 0.155907i
\(371\) −2.45302 + 13.9118i −0.127354 + 0.722263i
\(372\) −28.2815 10.6540i −1.46633 0.552387i
\(373\) 17.2111 + 9.93681i 0.891155 + 0.514509i 0.874320 0.485350i \(-0.161308\pi\)
0.0168350 + 0.999858i \(0.494641\pi\)
\(374\) 26.9298 + 9.97287i 1.39251 + 0.515685i
\(375\) −18.0318 6.56303i −0.931157 0.338913i
\(376\) −3.53805 + 18.2644i −0.182461 + 0.941915i
\(377\) 7.71354 6.47243i 0.397267 0.333347i
\(378\) 2.16167 + 3.79305i 0.111184 + 0.195093i
\(379\) −36.4793 −1.87382 −0.936909 0.349573i \(-0.886327\pi\)
−0.936909 + 0.349573i \(0.886327\pi\)
\(380\) −20.5011 + 11.4341i −1.05168 + 0.586555i
\(381\) −20.9835 −1.07502
\(382\) −16.7027 29.3080i −0.854587 1.49953i
\(383\) −14.8965 + 12.4996i −0.761175 + 0.638702i −0.938432 0.345463i \(-0.887722\pi\)
0.177258 + 0.984164i \(0.443277\pi\)
\(384\) −11.1019 + 27.1403i −0.566541 + 1.38500i
\(385\) −14.2601 5.19024i −0.726761 0.264519i
\(386\) −21.4417 7.94047i −1.09135 0.404159i
\(387\) 2.21252 + 1.27740i 0.112469 + 0.0649339i
\(388\) −6.01780 + 15.9745i −0.305508 + 0.810980i
\(389\) −1.67034 + 9.47298i −0.0846897 + 0.480299i 0.912733 + 0.408556i \(0.133967\pi\)
−0.997423 + 0.0717435i \(0.977144\pi\)
\(390\) −5.61644 32.9304i −0.284400 1.66749i
\(391\) 30.4616 17.5870i 1.54051 0.889413i
\(392\) 10.4967 5.82725i 0.530163 0.294320i
\(393\) 8.99334 10.7178i 0.453654 0.540644i
\(394\) 0.0252642 4.50875i 0.00127279 0.227147i
\(395\) 23.0800 8.40043i 1.16128 0.422671i
\(396\) 24.8096 + 4.66185i 1.24673 + 0.234267i
\(397\) −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 \(0.459880\pi\)
\(402\) 32.1417 + 18.7979i 1.60308 + 0.937556i
\(403\) −6.74926 18.5435i −0.336205 0.923715i
\(404\) −0.214043 + 0.0751997i −0.0106490 + 0.00374132i
\(405\) −13.0620 10.9603i −0.649054 0.544621i
\(406\) −6.87063 1.25121i −0.340983 0.0620966i
\(407\) −1.35623 2.34906i −0.0672259 0.116439i
\(408\) 28.7429 33.1079i 1.42298 1.63908i
\(409\) −27.0452 4.76879i −1.33730 0.235802i −0.541161 0.840919i \(-0.682015\pi\)
−0.796136 + 0.605117i \(0.793126\pi\)
\(410\) 4.08442 + 3.46642i 0.201715 + 0.171194i
\(411\) −14.9507 + 25.8954i −0.737465 + 1.27733i
\(412\) −13.4103 0.150290i −0.660677 0.00740427i
\(413\) 2.74193 7.53340i 0.134922 0.370694i
\(414\) 23.7969 19.7418i 1.16955 0.970256i
\(415\) 13.5687 + 16.1705i 0.666061 + 0.793781i
\(416\) −18.1685 + 6.04200i −0.890783 + 0.296234i
\(417\) 12.6095i 0.617489i
\(418\) 13.6007 15.9080i 0.665234 0.778084i
\(419\) 6.34043i 0.309750i −0.987934 0.154875i \(-0.950503\pi\)
0.987934 0.154875i \(-0.0494975\pi\)
\(420\) −15.0906 + 17.5804i −0.736346 + 0.857834i
\(421\) 7.49154 + 8.92808i 0.365116 + 0.435128i 0.917058 0.398755i \(-0.130558\pi\)
−0.551942 + 0.833882i \(0.686113\pi\)
\(422\) 3.45682 + 4.16687i 0.168275 + 0.202840i
\(423\) 8.36313 22.9775i 0.406629 1.11720i
\(424\) 22.7542 7.85129i 1.10504 0.381292i
\(425\) −6.72966 + 11.6561i −0.326436 + 0.565404i
\(426\) 5.92990 6.98710i 0.287305 0.338526i
\(427\) −6.19476 1.09230i −0.299785 0.0528602i
\(428\) −5.56672 9.89633i −0.269078 0.478357i
\(429\) 14.8924 + 25.7943i 0.719010 + 1.24536i
\(430\) −0.468863 + 2.57461i −0.0226106 + 0.124159i
\(431\) −17.1020 14.3503i −0.823775 0.691229i 0.130078 0.991504i \(-0.458477\pi\)
−0.953853 + 0.300275i \(0.902922\pi\)
\(432\) 3.86299 6.35746i 0.185858 0.305873i
\(433\) −6.55454 18.0085i −0.314991 0.865431i −0.991630 0.129116i \(-0.958786\pi\)
0.676638 0.736316i \(-0.263436\pi\)
\(434\) −6.90946 + 11.8142i −0.331665 + 0.567098i
\(435\) −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 0.965779 0.259366i \(-0.0835136\pi\)
−0.996244 + 0.0865917i \(0.972402\pi\)
\(440\) 4.06150 + 25.5370i 0.193624 + 1.21743i
\(441\) −14.8281 + 5.39700i −0.706101 + 0.257000i
\(442\) 28.6278 + 0.160412i 1.36168 + 0.00763002i
\(443\) 14.4156 17.1798i 0.684905 0.816237i −0.305825 0.952088i \(-0.598932\pi\)
0.990729 + 0.135850i \(0.0433766\pi\)
\(444\) −4.08615 + 0.673374i −0.193920 + 0.0319569i
\(445\) 28.9962 16.7410i 1.37455 0.793598i
\(446\) 33.1733 5.65788i 1.57080 0.267908i
\(447\) −8.43420 + 47.8327i −0.398924 + 2.26241i
\(448\) 11.2706 + 7.02249i 0.532485 + 0.331782i
\(449\) −32.5644 18.8011i −1.53681 0.887278i −0.999023 0.0441984i \(-0.985927\pi\)
−0.537788 0.843080i \(-0.680740\pi\)
\(450\) −4.10882 + 11.0951i −0.193692 + 0.523026i
\(451\) −4.48835 1.63362i −0.211348 0.0769244i
\(452\) −16.5519 9.80521i −0.778538 0.461198i
\(453\) −12.1333 + 10.1810i −0.570072 + 0.478347i
\(454\) −26.3253 + 15.0029i −1.23551 + 0.704119i
\(455\) −15.1283 −0.709225
\(456\) −15.4080 27.9939i −0.721547 1.31094i
\(457\) 40.6482 1.90144 0.950721 0.310047i \(-0.100345\pi\)
0.950721 + 0.310047i \(0.100345\pi\)
\(458\) 21.6329 12.3287i 1.01084 0.576080i
\(459\) −8.52063 + 7.14966i −0.397709 + 0.333717i
\(460\) 27.2496 + 16.1424i 1.27052 + 0.752642i
\(461\) −27.8951 10.1530i −1.29920 0.472871i −0.402466 0.915435i \(-0.631847\pi\)
−0.896737 + 0.442564i \(0.854069\pi\)
\(462\) 7.17389 19.3717i 0.333760 0.901252i
\(463\) 16.0546 + 9.26911i 0.746119 + 0.430772i 0.824290 0.566168i \(-0.191575\pi\)
−0.0781706 + 0.996940i \(0.524908\pi\)
\(464\) 3.81833 + 11.2705i 0.177262 + 0.523221i
\(465\) −7.06548 + 40.0703i −0.327654 + 1.85822i
\(466\) −16.2313 + 2.76833i −0.751900 + 0.128240i
\(467\) −22.4178 + 12.9429i −1.03737 + 0.598926i −0.919087 0.394054i \(-0.871072\pi\)
−0.118283 + 0.992980i \(0.537739\pi\)
\(468\) 24.8307 4.09196i 1.14780 0.189151i
\(469\) 10.8389 12.9173i 0.500496 0.596467i
\(470\) 25.0467 + 0.140346i 1.15532 + 0.00647367i
\(471\) −9.52657 + 3.46739i −0.438961 + 0.159769i
\(472\) −13.4908 + 2.14563i −0.620966 + 0.0987608i
\(473\) −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
\(478\) 12.4868 21.3506i 0.571134 0.976556i
\(479\) −0.149158 0.409808i −0.00681519 0.0187246i 0.936238 0.351365i \(-0.114283\pi\)
−0.943054 + 0.332641i \(0.892060\pi\)
\(480\) 38.6716 + 7.94182i 1.76511 + 0.362493i
\(481\) −2.07144 1.73814i −0.0944494 0.0792525i
\(482\) −6.89099 + 37.8396i −0.313876 + 1.72355i
\(483\) −12.6510 21.9123i −0.575643 0.997042i
\(484\) −0.517200 0.919461i −0.0235091 0.0417937i
\(485\) 22.6332 + 3.99084i 1.02772 + 0.181215i
\(486\) 20.1247 23.7126i 0.912875 1.07562i
\(487\) 2.67545 4.63401i 0.121236 0.209987i −0.799019 0.601305i \(-0.794648\pi\)
0.920255 + 0.391318i \(0.127981\pi\)
\(488\) 3.49609 + 10.1322i 0.158261 + 0.458664i
\(489\) −3.98716 + 10.9546i −0.180306 + 0.495386i
\(490\) −10.3203 12.4401i −0.466222 0.561987i
\(491\) 17.1929 + 20.4898i 0.775907 + 0.924690i 0.998741 0.0501666i \(-0.0159752\pi\)
−0.222834 + 0.974856i \(0.571531\pi\)
\(492\) −4.74976 + 5.53340i −0.214136 + 0.249465i
\(493\) 17.7925i 0.801334i
\(494\) 7.31696 19.5397i 0.329206 0.879131i
\(495\) 33.9865i 1.52758i
\(496\) 23.3150 + 0.522652i 1.04687 + 0.0234678i
\(497\) −2.66766 3.17919i −0.119661 0.142606i
\(498\) −22.1154 + 18.3468i −0.991013 + 0.822140i
\(499\) 1.54362 4.24107i 0.0691021 0.189856i −0.900334 0.435199i \(-0.856678\pi\)
0.969437 + 0.245342i \(0.0789003\pi\)
\(500\) 14.8064 + 0.165937i 0.662163 + 0.00742093i
\(501\) 20.5700 35.6282i 0.918998 1.59175i
\(502\) −25.0279 21.2410i −1.11705 0.948033i
\(503\) 20.5559 + 3.62456i 0.916543 + 0.161611i 0.611973 0.790879i \(-0.290376\pi\)
0.304570 + 0.952490i \(0.401487\pi\)
\(504\) −13.1799 11.4422i −0.587079 0.509677i
\(505\) 0.152720 + 0.264519i 0.00679595 + 0.0117709i
\(506\) −27.7818 5.05936i −1.23505 0.224916i
\(507\) −3.06508 2.57191i −0.136125 0.114223i
\(508\) 15.2766 5.36714i 0.677791 0.238129i
\(509\) 11.3786 + 31.2625i 0.504348 + 1.38569i 0.886990 + 0.461789i \(0.152792\pi\)
−0.382642 + 0.923897i \(0.624986\pi\)
\(510\) −50.9539 29.8001i −2.25627 1.31957i
\(511\) 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
\(516\) −3.50107 0.657870i −0.154126 0.0289611i
\(517\) −20.9852 + 7.63798i −0.922928 + 0.335918i
\(518\) −0.0105085 + 1.87539i −0.000461718 + 0.0824000i
\(519\) 7.63028 9.09341i 0.334932 0.399156i
\(520\) 12.5119 + 22.5378i 0.548682 + 0.988349i
\(521\) 18.8289 10.8709i 0.824911 0.476262i −0.0271962 0.999630i \(-0.508658\pi\)
0.852107 + 0.523368i \(0.175325\pi\)
\(522\) −2.62960 15.4179i −0.115094 0.674822i
\(523\) −3.60494 + 20.4446i −0.157633 + 0.893981i 0.798706 + 0.601722i \(0.205518\pi\)
−0.956339 + 0.292260i \(0.905593\pi\)
\(524\) −3.80604 + 10.1033i −0.166267 + 0.441363i
\(525\) 8.38471 + 4.84092i 0.365939 + 0.211275i
\(526\) 0.789784 + 0.292480i 0.0344362 + 0.0127527i
\(527\) −32.7663 11.9260i −1.42732 0.519504i
\(528\) −34.7927 + 5.33386i −1.51416 + 0.232126i
\(529\) −8.87704 + 7.44872i −0.385958 + 0.323858i
\(530\) −16.0460 28.1557i −0.696996 1.22301i
\(531\) 17.9546 0.779162
\(532\) −13.6701 + 4.74698i −0.592674 + 0.205808i
\(533\) −4.76162 −0.206248
\(534\) 22.5672 + 39.5983i 0.976577 + 1.71358i
\(535\) −11.7105 + 9.82628i −0.506289 + 0.424827i
\(536\) −28.2084 5.46432i −1.21842 0.236023i
\(537\) 17.0836 + 6.21793i 0.737213 + 0.268324i
\(538\) −13.6749 5.06421i −0.589567 0.218334i
\(539\) 12.4808 + 7.20577i 0.537584 + 0.310375i
\(540\) −9.37248 3.53074i −0.403327 0.151939i
\(541\) −6.88874 + 39.0680i −0.296170 + 1.67966i 0.366238 + 0.930521i \(0.380646\pi\)
−0.662408 + 0.749143i \(0.730465\pi\)
\(542\) 2.80671 + 16.4563i 0.120559 + 0.706861i
\(543\) −5.11643 + 2.95397i −0.219567 + 0.126767i
\(544\) −12.4574 + 31.4555i −0.534108 + 1.34864i
\(545\) 13.6037 16.2123i 0.582720 0.694459i
\(546\) 0.115391 20.5931i 0.00493827 0.881303i
\(547\) 14.4386 5.25520i 0.617348 0.224696i −0.0143672 0.999897i \(-0.504573\pi\)
0.631715 + 0.775200i \(0.282351\pi\)
\(548\) 4.26110 22.6768i 0.182025 0.968705i
\(549\) −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
\(554\) 34.4507 + 20.1484i 1.46367 + 0.856022i
\(555\) 1.90694 + 5.23926i 0.0809449 + 0.222394i
\(556\) −3.22525 9.18012i −0.136781 0.389324i
\(557\) 0.878070 + 0.736789i 0.0372050 + 0.0312187i 0.661201 0.750209i \(-0.270047\pi\)
−0.623996 + 0.781428i \(0.714492\pi\)
\(558\) −30.1558 5.49169i −1.27660 0.232482i
\(559\) −1.16303 2.01443i −0.0491909 0.0852011i
\(560\) 6.48976 16.6590i 0.274242 0.703969i
\(561\) 51.8301 + 9.13905i 2.18827 + 0.385851i
\(562\) −5.47391 4.64567i −0.230903 0.195966i
\(563\) 13.2485 22.9471i 0.558358 0.967104i −0.439276 0.898352i \(-0.644765\pi\)
0.997634 0.0687518i \(-0.0219017\pi\)
\(564\) −0.382086 + 34.0932i −0.0160887 + 1.43558i
\(565\) −8.85867 + 24.3390i −0.372687 + 1.02395i
\(566\) −4.87790 + 4.04668i −0.205033 + 0.170095i
\(567\) −6.75658 8.05218i −0.283750 0.338160i
\(568\) −2.53001 + 6.60358i −0.106157 + 0.277080i
\(569\) 9.00969i 0.377706i 0.982005 + 0.188853i \(0.0604769\pi\)
−0.982005 + 0.188853i \(0.939523\pi\)
\(570\) −33.2099 + 27.3477i −1.39101 + 1.14547i
\(571\) 12.9557i 0.542179i −0.962554 0.271089i \(-0.912616\pi\)
0.962554 0.271089i \(-0.0873839\pi\)
\(572\) −17.4398 14.9699i −0.729194 0.625925i
\(573\) −39.7391 47.3593i −1.66013 1.97846i
\(574\) 2.10856 + 2.54168i 0.0880097 + 0.106087i
\(575\) 4.52668 12.4370i 0.188776 0.518657i
\(576\) −6.14595 + 29.0985i −0.256081 + 1.21244i
\(577\) 15.3414 26.5721i 0.638672 1.10621i −0.347053 0.937846i \(-0.612818\pi\)
0.985725 0.168366i \(-0.0538490\pi\)
\(578\) 17.1761 20.2383i 0.714434 0.841804i
\(579\) −41.2675 7.27658i −1.71502 0.302404i
\(580\) 13.9635 7.85453i 0.579804 0.326142i
\(581\) 6.50648 + 11.2696i 0.269934 + 0.467540i
\(582\) −5.60510 + 30.7786i −0.232339 + 1.27581i
\(583\) 22.1342 + 18.5728i 0.916706 + 0.769208i
\(584\) −18.6779 23.0350i −0.772899 0.953196i
\(585\) −11.5881 31.8380i −0.479108 1.31634i
\(586\) 16.2766 27.8306i 0.672380 1.14967i
\(587\) 29.7939 5.25347i 1.22973 0.216834i 0.479218 0.877696i \(-0.340920\pi\)
0.750508 + 0.660862i \(0.229809\pi\)
\(588\) 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
\(592\) 2.80261 1.53539i 0.115187 0.0631042i
\(593\) −4.00540 + 1.45785i −0.164482 + 0.0598666i −0.422949 0.906154i \(-0.639005\pi\)
0.258467 + 0.966020i \(0.416783\pi\)
\(594\) 8.92965 + 0.0500362i 0.366388 + 0.00205301i
\(595\) −17.1828 + 20.4777i −0.704427 + 0.839504i
\(596\) −6.09427 36.9811i −0.249631 1.51480i
\(597\) −25.6312 + 14.7982i −1.04902 + 0.605650i
\(598\) −27.7506 + 4.73301i −1.13481 + 0.193547i
\(599\) 0.748191 4.24320i 0.0305703 0.173373i −0.965700 0.259660i \(-0.916389\pi\)
0.996270 + 0.0862879i \(0.0275005\pi\)
\(600\) 0.277307 16.4951i 0.0113210 0.673408i
\(601\) 0.136310 + 0.0786987i 0.00556021 + 0.00321019i 0.502778 0.864416i \(-0.332311\pi\)
−0.497217 + 0.867626i \(0.665645\pi\)
\(602\) −0.560250 + 1.51284i −0.0228341 + 0.0616590i
\(603\) 35.4875 + 12.9164i 1.44516 + 0.525996i
\(604\) 6.22933 10.5156i 0.253468 0.427873i
\(605\) −1.08801 + 0.912952i −0.0442341 + 0.0371168i
\(606\) −0.361236 + 0.205870i −0.0146742 + 0.00836289i
\(607\) 23.1610 0.940074 0.470037 0.882647i \(-0.344240\pi\)
0.470037 + 0.882647i \(0.344240\pi\)
\(608\) 18.3778 + 16.4394i 0.745320 + 0.666707i
\(609\) −12.7989 −0.518636
\(610\) 12.5374 7.14513i 0.507626 0.289298i
\(611\) −17.0543 + 14.3103i −0.689945 + 0.578932i
\(612\) 22.6641 38.2586i 0.916140 1.54651i
\(613\) −45.1542 16.4348i −1.82376 0.663795i −0.994475 0.104970i \(-0.966525\pi\)
−0.829286 0.558825i \(-0.811252\pi\)
\(614\) −16.6580 + 44.9816i −0.672261 + 1.81531i
\(615\) 8.50259 + 4.90898i 0.342858 + 0.197949i
\(616\) −0.267945 + 15.9381i −0.0107958 + 0.642166i
\(617\) −2.55508 + 14.4906i −0.102864 + 0.583369i 0.889188 + 0.457541i \(0.151270\pi\)
−0.992052 + 0.125828i \(0.959841\pi\)
\(618\) −24.2286 + 4.13232i −0.974619 + 0.166226i
\(619\) −41.6191 + 24.0288i −1.67281 + 0.965800i −0.706762 + 0.707451i \(0.749845\pi\)
−0.966052 + 0.258349i \(0.916822\pi\)
\(620\) −5.10528 30.9797i −0.205033 1.24417i
\(621\) 7.03057 8.37871i 0.282127 0.336226i
\(622\) 25.5637 + 0.143243i 1.02501 + 0.00574351i
\(623\) 19.3955 7.05940i 0.777066 0.282829i
\(624\) −30.7746 + 16.8597i −1.23197 + 0.674926i
\(625\) −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
\(630\) −11.8631 + 20.2842i −0.472638 + 0.808141i
\(631\) −2.81681 7.73912i −0.112135 0.308090i 0.870913 0.491438i \(-0.163529\pi\)
−0.983048 + 0.183348i \(0.941306\pi\)
\(632\) −16.2491 20.0396i −0.646355 0.797133i
\(633\) 7.60099 + 6.37799i 0.302112 + 0.253502i
\(634\) 0.195471 1.07337i 0.00776316 0.0426289i
\(635\) −10.8999 18.8792i −0.432550 0.749199i
\(636\) 38.4489 21.6276i 1.52460 0.857591i
\(637\) 14.1487 + 2.49479i 0.560591 + 0.0988473i
\(638\) −9.24298 + 10.8908i −0.365933 + 0.431172i
\(639\) 4.64732 8.04940i 0.183845 0.318429i
\(640\) −30.1855 + 4.10951i −1.19319 + 0.162443i
\(641\) 12.2993 33.7920i 0.485793 1.33471i −0.418664 0.908141i \(-0.637502\pi\)
0.904457 0.426564i \(-0.140276\pi\)
\(642\) −13.2865 16.0157i −0.524377 0.632087i
\(643\) −12.2592 14.6099i −0.483454 0.576158i 0.468086 0.883683i \(-0.344944\pi\)
−0.951540 + 0.307525i \(0.900499\pi\)
\(644\) 14.8151 + 12.7170i 0.583796 + 0.501118i
\(645\) 4.79609i 0.188846i
\(646\) −18.1383 32.0976i −0.713642 1.26286i
\(647\) 44.0542i 1.73195i −0.500089 0.865974i \(-0.666699\pi\)
0.500089 0.865974i \(-0.333301\pi\)
\(648\) −6.40793 + 16.7254i −0.251727 + 0.657035i
\(649\) −10.5403 12.5614i −0.413742 0.493079i
\(650\) 8.29058 6.87783i 0.325183 0.269771i
\(651\) −8.57884 + 23.5702i −0.336231 + 0.923787i
\(652\) 0.100810 8.99517i 0.00394802 0.352278i
\(653\) −14.7359 + 25.5233i −0.576660 + 0.998804i 0.419200 + 0.907894i \(0.362311\pi\)
−0.995859 + 0.0909095i \(0.971023\pi\)
\(654\) 21.9649 + 18.6415i 0.858897 + 0.728940i
\(655\) 14.3147 + 2.52406i 0.559320 + 0.0986232i
\(656\) 2.04265 5.24339i 0.0797519 0.204720i
\(657\) 19.4892 + 33.7563i 0.760347 + 1.31696i
\(658\) 15.1907 + 2.76638i 0.592195 + 0.107845i
\(659\) −4.57370 3.83779i −0.178166 0.149499i 0.549344 0.835597i \(-0.314878\pi\)
−0.727510 + 0.686098i \(0.759322\pi\)
\(660\) 15.7082 + 44.7106i 0.611440 + 1.74036i
\(661\) 14.8266 + 40.7359i 0.576690 + 1.58444i 0.793724 + 0.608278i \(0.208139\pi\)
−0.217034 + 0.976164i \(0.569638\pi\)
\(662\) 28.2037 + 16.4948i 1.09617 + 0.641089i
\(663\) 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
\(668\) −5.86263 + 31.1999i −0.226832 + 1.20716i
\(669\) 57.9551 21.0939i 2.24067 0.815539i
\(670\) −0.216756 + 38.6832i −0.00837402 + 1.49446i
\(671\) −8.27028 + 9.85613i −0.319271 + 0.380492i
\(672\) 22.6272 + 8.96113i 0.872863 + 0.345683i
\(673\) −29.6835 + 17.1378i −1.14421 + 0.660613i −0.947471 0.319842i \(-0.896370\pi\)
−0.196744 + 0.980455i \(0.563037\pi\)
\(674\) −1.10378 6.47171i −0.0425162 0.249281i
\(675\) −0.726766 + 4.12169i −0.0279732 + 0.158644i
\(676\) 2.88932 + 1.08845i 0.111128 + 0.0418634i
\(677\) 22.0117 + 12.7085i 0.845978 + 0.488425i 0.859292 0.511486i \(-0.170905\pi\)
−0.0133139 + 0.999911i \(0.504238\pi\)
\(678\) −33.0634 12.2443i −1.26979 0.470241i
\(679\) 13.3133 + 4.84565i 0.510918 + 0.185959i
\(680\) 44.7184 + 8.66251i 1.71487 + 0.332192i
\(681\) −42.5393 + 35.6947i −1.63011 + 1.36783i
\(682\) 13.8610 + 24.3216i 0.530764 + 0.931323i
\(683\) −1.72512 −0.0660100 −0.0330050 0.999455i \(-0.510508\pi\)
−0.0330050 + 0.999455i \(0.510508\pi\)
\(684\) −20.4613 25.1331i −0.782357 0.960986i
\(685\) −31.0648 −1.18693
\(686\) −13.0700 22.9338i −0.499016 0.875615i
\(687\) 34.9569 29.3323i 1.33369 1.11910i
\(688\) 2.71716 0.416552i 0.103591 0.0158809i
\(689\) 27.0676 + 9.85181i 1.03119 + 0.375324i
\(690\) 54.4325 + 20.1579i 2.07221 + 0.767399i
\(691\) 14.5248 + 8.38589i 0.552549 + 0.319014i 0.750149 0.661268i \(-0.229982\pi\)
−0.197601 + 0.980283i \(0.563315\pi\)
\(692\) −3.22918 + 8.57197i −0.122755 + 0.325857i
\(693\) 3.63816 20.6330i 0.138202 0.783784i
\(694\) −5.30329 31.0943i −0.201310 1.18032i
\(695\) −11.3450 + 6.55004i −0.430340 + 0.248457i
\(696\) 10.5853 + 19.0675i 0.401236 + 0.722751i
\(697\) −5.40828 + 6.44534i −0.204853 + 0.244135i
\(698\) −0.107734 + 19.2267i −0.00407780 + 0.727740i
\(699\) −28.3567 + 10.3210i −1.07255 + 0.390376i
\(700\) −7.34255 1.37971i −0.277522 0.0521480i
\(701\) 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
\(706\) −30.6743 17.9397i −1.15444 0.675171i
\(707\) 0.0643996 + 0.176936i 0.00242200 + 0.00665438i
\(708\) −23.6200 + 8.29842i −0.887694 + 0.311874i
\(709\) 34.9962 + 29.3653i 1.31431 + 1.10284i 0.987479 + 0.157752i \(0.0504247\pi\)
0.326829 + 0.945083i \(0.394020\pi\)
\(710\) 9.36673 + 1.70578i 0.351527 + 0.0640167i
\(711\) 16.9549 + 29.3667i 0.635858 + 1.10134i
\(712\) −26.5581 23.0566i −0.995306 0.864083i
\(713\) 33.7675 + 5.95412i 1.26460 + 0.222984i
\(714\) −27.7438 23.5460i −1.03829 0.881187i
\(715\) −15.4718 + 26.7979i −0.578611 + 1.00218i
\(716\) −14.0279 0.157212i −0.524246 0.00587527i
\(717\) 15.5037 42.5962i 0.578998 1.59078i
\(718\) −10.7594 + 8.92598i −0.401539 + 0.333115i
\(719\) −30.0416 35.8022i −1.12036 1.33520i −0.935863 0.352363i \(-0.885378\pi\)
−0.184499 0.982833i \(-0.559066\pi\)
\(720\) 40.0304 + 0.897362i 1.49184 + 0.0334427i
\(721\) 11.1307i 0.414529i
\(722\) −26.5197 + 4.32496i −0.986961 + 0.160958i
\(723\) 70.4891i 2.62152i
\(724\) 2.96936 3.45927i 0.110355 0.128563i
\(725\) −4.30339 5.12858i −0.159824 0.190471i
\(726\) −1.23444 1.48800i −0.0458144 0.0552249i
\(727\) −12.7241 + 34.9591i −0.471910 + 1.29656i 0.444305 + 0.895876i \(0.353451\pi\)
−0.916215 + 0.400687i \(0.868771\pi\)
\(728\) 5.18329 + 15.0220i 0.192106 + 0.556751i
\(729\) 19.0009 32.9106i 0.703738 1.21891i
\(730\) −25.8354 + 30.4414i −0.956211 + 1.12669i
\(731\) −4.04771 0.713721i −0.149710 0.0263979i
\(732\) 9.63054 + 17.1209i 0.355955 + 0.632805i
\(733\) −5.28816 9.15936i −0.195323 0.338309i 0.751684 0.659524i \(-0.229242\pi\)
−0.947006 + 0.321215i \(0.895909\pi\)
\(734\) 7.99163 43.8835i 0.294976 1.61977i
\(735\) −22.6926 19.0414i −0.837030 0.702352i
\(736\) 6.69262 32.5888i 0.246693 1.20124i
\(737\) −11.7964 32.4104i −0.434527 1.19385i
\(738\) −3.73391 + 6.38443i −0.137447 + 0.235014i
\(739\) −34.7564 + 6.12848i −1.27853 + 0.225440i −0.771357 0.636402i \(-0.780422\pi\)
−0.507176 + 0.861842i \(0.669311\pi\)
\(740\) −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 \(-0.946043\pi\)
0.868525 0.495646i \(-0.165069\pi\)
\(744\) 42.2095 6.71317i 1.54747 0.246117i
\(745\) −47.4172 + 17.2584i −1.73723 + 0.632301i
\(746\) −28.1051 0.157483i −1.02900 0.00576588i
\(747\) −18.7333 + 22.3254i −0.685415 + 0.816845i
\(748\) −40.0716 + 6.60357i −1.46516 + 0.241450i
\(749\) −8.16127 + 4.71191i −0.298206 + 0.172169i
\(750\) 26.7511 4.56253i 0.976811 0.166600i
\(751\) 7.68759 43.5985i 0.280524 1.59093i −0.440324 0.897839i \(-0.645137\pi\)
0.720848 0.693093i \(-0.243752\pi\)
\(752\) −8.44219 24.9187i −0.307855 0.908693i
\(753\) −52.1009 30.0805i −1.89866 1.09619i
\(754\) −4.94532 + 13.3539i −0.180098 + 0.486319i
\(755\) −15.4628 5.62798i −0.562747 0.204823i
\(756\) −5.31203 3.14680i −0.193197 0.114448i
\(757\) −4.01307 + 3.36736i −0.145857 + 0.122389i −0.712797 0.701371i \(-0.752572\pi\)
0.566939 + 0.823760i \(0.308127\pi\)
\(758\) 44.8217 25.5440i 1.62800 0.927801i
\(759\) −51.7531 −1.87852
\(760\) 17.1829 28.4044i 0.623290 1.03034i
\(761\) −35.8399 −1.29919 −0.649597 0.760279i \(-0.725062\pi\)
−0.649597 + 0.760279i \(0.725062\pi\)
\(762\) 25.7821 14.6933i 0.933988 0.532283i
\(763\) 9.99425 8.38617i 0.361816 0.303600i
\(764\) 41.0449 + 24.3146i 1.48495 + 0.879672i
\(765\) −56.2578 20.4762i −2.03401 0.740318i
\(766\) 9.55047 25.7892i 0.345073 0.931800i
\(767\) −14.1569 8.17351i −0.511178 0.295128i
\(768\) −5.36375 41.1208i −0.193548 1.48382i
\(769\) 5.00228 28.3693i 0.180387 1.02302i −0.751354 0.659900i \(-0.770599\pi\)
0.931740 0.363125i \(-0.118290\pi\)
\(770\) 21.1556 3.60819i 0.762393 0.130030i
\(771\) 20.0625 11.5831i 0.722535 0.417156i
\(772\) 31.9053 5.25781i 1.14830 0.189233i
\(773\) 1.14807