Properties

Label 441.2.y.a.25.17
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.17
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.279438 + 1.22430i) q^{2} +(-0.359714 - 1.69429i) q^{3} +(0.381117 + 0.183536i) q^{4} +(0.462772 + 1.17912i) q^{5} +(2.17483 + 0.0330508i) q^{6} +(2.42137 - 1.06628i) q^{7} +(-1.89714 + 2.37894i) q^{8} +(-2.74121 + 1.21892i) q^{9} +O(q^{10})\) \(q+(-0.279438 + 1.22430i) q^{2} +(-0.359714 - 1.69429i) q^{3} +(0.381117 + 0.183536i) q^{4} +(0.462772 + 1.17912i) q^{5} +(2.17483 + 0.0330508i) q^{6} +(2.42137 - 1.06628i) q^{7} +(-1.89714 + 2.37894i) q^{8} +(-2.74121 + 1.21892i) q^{9} +(-1.57292 + 0.237079i) q^{10} +(4.75556 - 1.46690i) q^{11} +(0.173870 - 0.711741i) q^{12} +(-1.23794 + 0.381853i) q^{13} +(0.628825 + 3.26244i) q^{14} +(1.83131 - 1.20822i) q^{15} +(-1.85491 - 2.32599i) q^{16} +(-0.447947 + 5.97743i) q^{17} +(-0.726319 - 3.69667i) q^{18} +(-1.89422 - 3.28088i) q^{19} +(-0.0400417 + 0.534320i) q^{20} +(-2.67759 - 3.71894i) q^{21} +(0.467033 + 6.23213i) q^{22} +(7.22775 - 4.92780i) q^{23} +(4.71303 + 2.35856i) q^{24} +(2.48908 - 2.30953i) q^{25} +(-0.121575 - 1.62231i) q^{26} +(3.05125 + 4.20594i) q^{27} +(1.11853 + 0.0380310i) q^{28} +(-0.665662 + 8.88264i) q^{29} +(0.967480 + 2.57969i) q^{30} +1.52967 q^{31} +(-2.11685 + 1.01942i) q^{32} +(-4.19598 - 7.52961i) q^{33} +(-7.19299 - 2.21874i) q^{34} +(2.37782 + 2.36165i) q^{35} +(-1.26844 - 0.0385617i) q^{36} +(4.00466 + 2.73033i) q^{37} +(4.54610 - 1.40229i) q^{38} +(1.09227 + 1.96006i) q^{39} +(-3.68300 - 1.13606i) q^{40} +(-5.10400 - 0.769304i) q^{41} +(5.30131 - 2.23896i) q^{42} +(3.15177 - 0.475052i) q^{43} +(2.08165 + 0.313758i) q^{44} +(-2.70581 - 2.66815i) q^{45} +(4.01339 + 10.2259i) q^{46} +(-0.869950 + 3.81150i) q^{47} +(-3.27365 + 3.97944i) q^{48} +(4.72608 - 5.16373i) q^{49} +(2.13201 + 3.69275i) q^{50} +(10.2886 - 1.39122i) q^{51} +(-0.541883 - 0.0816757i) q^{52} +(2.07954 - 1.41780i) q^{53} +(-6.00195 + 2.56034i) q^{54} +(3.93039 + 4.92856i) q^{55} +(-2.05706 + 7.78317i) q^{56} +(-4.87738 + 4.38953i) q^{57} +(-10.6890 - 3.29712i) q^{58} +(-7.07561 - 8.87253i) q^{59} +(0.919694 - 0.124360i) q^{60} +(-3.56049 + 1.71464i) q^{61} +(-0.427448 + 1.87277i) q^{62} +(-5.33778 + 5.87436i) q^{63} +(-1.98057 - 8.67744i) q^{64} +(-1.02314 - 1.28297i) q^{65} +(10.3910 - 3.03307i) q^{66} -5.50567 q^{67} +(-1.26780 + 2.19589i) q^{68} +(-10.9490 - 10.4733i) q^{69} +(-3.55582 + 2.25123i) q^{70} +(-7.86557 - 3.78786i) q^{71} +(2.30073 - 8.83362i) q^{72} +(-1.80365 - 0.556352i) q^{73} +(-4.46179 + 4.13994i) q^{74} +(-4.80836 - 3.38645i) q^{75} +(-0.119758 - 1.59806i) q^{76} +(9.95085 - 8.62267i) q^{77} +(-2.70492 + 0.789551i) q^{78} -15.9362 q^{79} +(1.88423 - 3.26358i) q^{80} +(6.02848 - 6.68262i) q^{81} +(2.36811 - 6.03385i) q^{82} +(3.38697 + 1.04474i) q^{83} +(-0.337915 - 1.90879i) q^{84} +(-7.25544 + 2.23801i) q^{85} +(-0.299118 + 3.99145i) q^{86} +(15.2892 - 2.06739i) q^{87} +(-5.53230 + 14.0961i) q^{88} +(-3.81569 + 3.54044i) q^{89} +(4.02272 - 2.56714i) q^{90} +(-2.59034 + 2.24460i) q^{91} +(3.65905 - 0.551513i) q^{92} +(-0.550244 - 2.59170i) q^{93} +(-4.42332 - 2.13016i) q^{94} +(2.99198 - 3.75182i) q^{95} +(2.48865 + 3.21985i) q^{96} +(6.30874 - 10.9271i) q^{97} +(5.00130 + 7.22908i) q^{98} +(-11.2480 + 9.81770i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.279438 + 1.22430i −0.197593 + 0.865710i 0.774772 + 0.632241i \(0.217865\pi\)
−0.972364 + 0.233469i \(0.924992\pi\)
\(3\) −0.359714 1.69429i −0.207681 0.978197i
\(4\) 0.381117 + 0.183536i 0.190558 + 0.0917681i
\(5\) 0.462772 + 1.17912i 0.206958 + 0.527321i 0.996233 0.0867197i \(-0.0276385\pi\)
−0.789275 + 0.614040i \(0.789543\pi\)
\(6\) 2.17483 + 0.0330508i 0.887871 + 0.0134929i
\(7\) 2.42137 1.06628i 0.915192 0.403017i
\(8\) −1.89714 + 2.37894i −0.670740 + 0.841081i
\(9\) −2.74121 + 1.21892i −0.913737 + 0.406306i
\(10\) −1.57292 + 0.237079i −0.497400 + 0.0749710i
\(11\) 4.75556 1.46690i 1.43385 0.442286i 0.522052 0.852914i \(-0.325167\pi\)
0.911803 + 0.410628i \(0.134691\pi\)
\(12\) 0.173870 0.711741i 0.0501919 0.205462i
\(13\) −1.23794 + 0.381853i −0.343342 + 0.105907i −0.461631 0.887072i \(-0.652735\pi\)
0.118288 + 0.992979i \(0.462259\pi\)
\(14\) 0.628825 + 3.26244i 0.168061 + 0.871924i
\(15\) 1.83131 1.20822i 0.472842 0.311960i
\(16\) −1.85491 2.32599i −0.463728 0.581497i
\(17\) −0.447947 + 5.97743i −0.108643 + 1.44974i 0.630499 + 0.776190i \(0.282850\pi\)
−0.739142 + 0.673550i \(0.764769\pi\)
\(18\) −0.726319 3.69667i −0.171195 0.871314i
\(19\) −1.89422 3.28088i −0.434564 0.752686i 0.562696 0.826664i \(-0.309764\pi\)
−0.997260 + 0.0739774i \(0.976431\pi\)
\(20\) −0.0400417 + 0.534320i −0.00895360 + 0.119478i
\(21\) −2.67759 3.71894i −0.584298 0.811539i
\(22\) 0.467033 + 6.23213i 0.0995719 + 1.32869i
\(23\) 7.22775 4.92780i 1.50709 1.02752i 0.522501 0.852639i \(-0.324999\pi\)
0.984590 0.174879i \(-0.0559533\pi\)
\(24\) 4.71303 + 2.35856i 0.962042 + 0.481439i
\(25\) 2.48908 2.30953i 0.497817 0.461906i
\(26\) −0.121575 1.62231i −0.0238429 0.318161i
\(27\) 3.05125 + 4.20594i 0.587213 + 0.809433i
\(28\) 1.11853 + 0.0380310i 0.211382 + 0.00718718i
\(29\) −0.665662 + 8.88264i −0.123610 + 1.64946i 0.498759 + 0.866741i \(0.333789\pi\)
−0.622369 + 0.782724i \(0.713830\pi\)
\(30\) 0.967480 + 2.57969i 0.176637 + 0.470985i
\(31\) 1.52967 0.274737 0.137369 0.990520i \(-0.456136\pi\)
0.137369 + 0.990520i \(0.456136\pi\)
\(32\) −2.11685 + 1.01942i −0.374210 + 0.180210i
\(33\) −4.19598 7.52961i −0.730427 1.31074i
\(34\) −7.19299 2.21874i −1.23359 0.380511i
\(35\) 2.37782 + 2.36165i 0.401926 + 0.399192i
\(36\) −1.26844 0.0385617i −0.211406 0.00642694i
\(37\) 4.00466 + 2.73033i 0.658361 + 0.448863i 0.845862 0.533401i \(-0.179086\pi\)
−0.187501 + 0.982264i \(0.560039\pi\)
\(38\) 4.54610 1.40229i 0.737474 0.227481i
\(39\) 1.09227 + 1.96006i 0.174904 + 0.313861i
\(40\) −3.68300 1.13606i −0.582334 0.179626i
\(41\) −5.10400 0.769304i −0.797111 0.120145i −0.262156 0.965026i \(-0.584433\pi\)
−0.534955 + 0.844880i \(0.679672\pi\)
\(42\) 5.30131 2.23896i 0.818010 0.345478i
\(43\) 3.15177 0.475052i 0.480640 0.0724448i 0.0957463 0.995406i \(-0.469476\pi\)
0.384894 + 0.922961i \(0.374238\pi\)
\(44\) 2.08165 + 0.313758i 0.313821 + 0.0473009i
\(45\) −2.70581 2.66815i −0.403359 0.397744i
\(46\) 4.01339 + 10.2259i 0.591742 + 1.50773i
\(47\) −0.869950 + 3.81150i −0.126895 + 0.555965i 0.871010 + 0.491266i \(0.163466\pi\)
−0.997905 + 0.0646986i \(0.979391\pi\)
\(48\) −3.27365 + 3.97944i −0.472511 + 0.574383i
\(49\) 4.72608 5.16373i 0.675155 0.737676i
\(50\) 2.13201 + 3.69275i 0.301512 + 0.522234i
\(51\) 10.2886 1.39122i 1.44069 0.194809i
\(52\) −0.541883 0.0816757i −0.0751456 0.0113264i
\(53\) 2.07954 1.41780i 0.285646 0.194750i −0.412017 0.911176i \(-0.635176\pi\)
0.697663 + 0.716426i \(0.254223\pi\)
\(54\) −6.00195 + 2.56034i −0.816763 + 0.348418i
\(55\) 3.93039 + 4.92856i 0.529974 + 0.664566i
\(56\) −2.05706 + 7.78317i −0.274886 + 1.04007i
\(57\) −4.87738 + 4.38953i −0.646025 + 0.581407i
\(58\) −10.6890 3.29712i −1.40353 0.432933i
\(59\) −7.07561 8.87253i −0.921165 1.15510i −0.987549 0.157311i \(-0.949718\pi\)
0.0663838 0.997794i \(-0.478854\pi\)
\(60\) 0.919694 0.124360i 0.118732 0.0160548i
\(61\) −3.56049 + 1.71464i −0.455875 + 0.219538i −0.647706 0.761890i \(-0.724272\pi\)
0.191832 + 0.981428i \(0.438557\pi\)
\(62\) −0.427448 + 1.87277i −0.0542860 + 0.237843i
\(63\) −5.33778 + 5.87436i −0.672497 + 0.740100i
\(64\) −1.98057 8.67744i −0.247571 1.08468i
\(65\) −1.02314 1.28297i −0.126904 0.159133i
\(66\) 10.3910 3.03307i 1.27905 0.373345i
\(67\) −5.50567 −0.672625 −0.336313 0.941750i \(-0.609180\pi\)
−0.336313 + 0.941750i \(0.609180\pi\)
\(68\) −1.26780 + 2.19589i −0.153743 + 0.266290i
\(69\) −10.9490 10.4733i −1.31811 1.26084i
\(70\) −3.55582 + 2.25123i −0.425002 + 0.269074i
\(71\) −7.86557 3.78786i −0.933471 0.449536i −0.0956099 0.995419i \(-0.530480\pi\)
−0.837862 + 0.545883i \(0.816194\pi\)
\(72\) 2.30073 8.83362i 0.271144 1.04105i
\(73\) −1.80365 0.556352i −0.211101 0.0651160i 0.187401 0.982283i \(-0.439994\pi\)
−0.398502 + 0.917167i \(0.630470\pi\)
\(74\) −4.46179 + 4.13994i −0.518673 + 0.481258i
\(75\) −4.80836 3.38645i −0.555222 0.391033i
\(76\) −0.119758 1.59806i −0.0137372 0.183310i
\(77\) 9.95085 8.62267i 1.13400 0.982644i
\(78\) −2.70492 + 0.789551i −0.306272 + 0.0893991i
\(79\) −15.9362 −1.79296 −0.896481 0.443082i \(-0.853885\pi\)
−0.896481 + 0.443082i \(0.853885\pi\)
\(80\) 1.88423 3.26358i 0.210663 0.364879i
\(81\) 6.02848 6.68262i 0.669831 0.742513i
\(82\) 2.36811 6.03385i 0.261514 0.666327i
\(83\) 3.38697 + 1.04474i 0.371768 + 0.114675i 0.475008 0.879981i \(-0.342445\pi\)
−0.103241 + 0.994656i \(0.532921\pi\)
\(84\) −0.337915 1.90879i −0.0368695 0.208266i
\(85\) −7.25544 + 2.23801i −0.786963 + 0.242746i
\(86\) −0.299118 + 3.99145i −0.0322547 + 0.430409i
\(87\) 15.2892 2.06739i 1.63917 0.221647i
\(88\) −5.53230 + 14.0961i −0.589745 + 1.50265i
\(89\) −3.81569 + 3.54044i −0.404462 + 0.375286i −0.856009 0.516962i \(-0.827063\pi\)
0.451546 + 0.892248i \(0.350873\pi\)
\(90\) 4.02272 2.56714i 0.424032 0.270600i
\(91\) −2.59034 + 2.24460i −0.271542 + 0.235298i
\(92\) 3.65905 0.551513i 0.381482 0.0574992i
\(93\) −0.550244 2.59170i −0.0570577 0.268747i
\(94\) −4.42332 2.13016i −0.456230 0.219709i
\(95\) 2.99198 3.75182i 0.306971 0.384929i
\(96\) 2.48865 + 3.21985i 0.253997 + 0.328625i
\(97\) 6.30874 10.9271i 0.640555 1.10947i −0.344754 0.938693i \(-0.612038\pi\)
0.985309 0.170781i \(-0.0546291\pi\)
\(98\) 5.00130 + 7.22908i 0.505208 + 0.730247i
\(99\) −11.2480 + 9.81770i −1.13046 + 0.986716i
\(100\) 1.37251 0.423364i 0.137251 0.0423364i
\(101\) −8.84292 1.33286i −0.879903 0.132624i −0.306474 0.951879i \(-0.599149\pi\)
−0.573429 + 0.819255i \(0.694387\pi\)
\(102\) −1.17177 + 12.9851i −0.116022 + 1.28572i
\(103\) −5.15294 13.1295i −0.507735 1.29369i −0.923285 0.384116i \(-0.874506\pi\)
0.415550 0.909570i \(-0.363589\pi\)
\(104\) 1.44013 3.66940i 0.141217 0.359815i
\(105\) 3.14598 4.87823i 0.307016 0.476067i
\(106\) 1.15471 + 2.94216i 0.112156 + 0.285768i
\(107\) 8.39935 7.79345i 0.811996 0.753422i −0.160327 0.987064i \(-0.551255\pi\)
0.972323 + 0.233642i \(0.0750644\pi\)
\(108\) 0.390940 + 2.16297i 0.0376182 + 0.208132i
\(109\) −0.348923 0.323753i −0.0334207 0.0310099i 0.663286 0.748366i \(-0.269161\pi\)
−0.696706 + 0.717356i \(0.745352\pi\)
\(110\) −7.13233 + 3.43475i −0.680041 + 0.327490i
\(111\) 3.18543 7.76717i 0.302347 0.737227i
\(112\) −6.97159 3.65422i −0.658754 0.345291i
\(113\) −2.25979 + 2.09678i −0.212583 + 0.197249i −0.779276 0.626681i \(-0.784413\pi\)
0.566693 + 0.823929i \(0.308223\pi\)
\(114\) −4.01117 7.19797i −0.375680 0.674151i
\(115\) 9.15529 + 6.24197i 0.853736 + 0.582067i
\(116\) −1.88398 + 3.26315i −0.174923 + 0.302976i
\(117\) 2.92800 2.55568i 0.270694 0.236273i
\(118\) 12.8398 6.18333i 1.18200 0.569222i
\(119\) 5.28899 + 14.9512i 0.484841 + 1.37058i
\(120\) −0.599976 + 6.64872i −0.0547701 + 0.606942i
\(121\) 11.3749 7.75529i 1.03408 0.705026i
\(122\) −1.10430 4.83825i −0.0999784 0.438034i
\(123\) 0.532559 + 8.92437i 0.0480193 + 0.804683i
\(124\) 0.582983 + 0.280750i 0.0523535 + 0.0252121i
\(125\) 9.58133 + 4.61412i 0.856980 + 0.412700i
\(126\) −5.70039 8.17656i −0.507831 0.728426i
\(127\) −4.24335 + 2.04349i −0.376536 + 0.181330i −0.612573 0.790414i \(-0.709866\pi\)
0.236037 + 0.971744i \(0.424151\pi\)
\(128\) 6.47817 0.572594
\(129\) −1.93861 5.16911i −0.170685 0.455115i
\(130\) 1.85664 0.894113i 0.162838 0.0784189i
\(131\) −14.6754 + 2.21197i −1.28220 + 0.193260i −0.754573 0.656216i \(-0.772156\pi\)
−0.527627 + 0.849476i \(0.676918\pi\)
\(132\) −0.217203 3.63978i −0.0189051 0.316802i
\(133\) −8.08496 5.92446i −0.701055 0.513716i
\(134\) 1.53850 6.74059i 0.132906 0.582298i
\(135\) −3.54729 + 5.54419i −0.305302 + 0.477168i
\(136\) −13.3701 12.4057i −1.14648 1.06378i
\(137\) 3.41812 8.70922i 0.292029 0.744079i −0.707280 0.706933i \(-0.750078\pi\)
0.999310 0.0371458i \(-0.0118266\pi\)
\(138\) 15.8820 10.4782i 1.35197 0.891967i
\(139\) 10.8011 + 1.62800i 0.916134 + 0.138085i 0.590153 0.807291i \(-0.299067\pi\)
0.325981 + 0.945376i \(0.394306\pi\)
\(140\) 0.472780 + 1.33648i 0.0399572 + 0.112953i
\(141\) 6.77071 + 0.102894i 0.570196 + 0.00866525i
\(142\) 6.83541 8.57133i 0.573615 0.719290i
\(143\) −5.32695 + 3.63185i −0.445462 + 0.303711i
\(144\) 7.91989 + 4.11504i 0.659991 + 0.342920i
\(145\) −10.7818 + 3.32574i −0.895379 + 0.276188i
\(146\) 1.18515 2.05274i 0.0980836 0.169886i
\(147\) −10.4489 6.14987i −0.861809 0.507232i
\(148\) 1.02513 + 1.77557i 0.0842650 + 0.145951i
\(149\) −12.1315 11.2563i −0.993847 0.922155i 0.00311869 0.999995i \(-0.499007\pi\)
−0.996966 + 0.0778397i \(0.975198\pi\)
\(150\) 5.48966 4.94057i 0.448229 0.403396i
\(151\) 0.664545 + 8.86774i 0.0540799 + 0.721647i 0.956675 + 0.291157i \(0.0940401\pi\)
−0.902595 + 0.430490i \(0.858341\pi\)
\(152\) 11.3986 + 1.71806i 0.924549 + 0.139353i
\(153\) −6.05808 16.9314i −0.489767 1.36882i
\(154\) 7.77607 + 14.5923i 0.626614 + 1.17588i
\(155\) 0.707890 + 1.80367i 0.0568591 + 0.144875i
\(156\) 0.0565409 + 0.947485i 0.00452689 + 0.0758595i
\(157\) 1.63690 + 2.05260i 0.130639 + 0.163816i 0.842848 0.538151i \(-0.180877\pi\)
−0.712210 + 0.701967i \(0.752306\pi\)
\(158\) 4.45318 19.5107i 0.354276 1.55218i
\(159\) −3.15020 3.01332i −0.249827 0.238972i
\(160\) −2.18165 2.02427i −0.172474 0.160033i
\(161\) 12.2467 19.6389i 0.965171 1.54776i
\(162\) 6.49693 + 9.24804i 0.510447 + 0.726595i
\(163\) −5.98987 + 15.2619i −0.469163 + 1.19541i 0.479054 + 0.877785i \(0.340980\pi\)
−0.948217 + 0.317623i \(0.897116\pi\)
\(164\) −1.80403 1.22996i −0.140871 0.0960440i
\(165\) 6.93657 8.43208i 0.540011 0.656437i
\(166\) −2.22552 + 3.85472i −0.172734 + 0.299184i
\(167\) −8.06525 5.49879i −0.624108 0.425509i 0.209545 0.977799i \(-0.432802\pi\)
−0.833652 + 0.552290i \(0.813754\pi\)
\(168\) 13.9269 + 0.685527i 1.07448 + 0.0528896i
\(169\) −9.35443 + 6.37774i −0.719571 + 0.490595i
\(170\) −0.712541 9.50820i −0.0546494 0.729246i
\(171\) 9.19158 + 6.68470i 0.702898 + 0.511192i
\(172\) 1.28838 + 0.397413i 0.0982381 + 0.0303024i
\(173\) −22.3107 10.7443i −1.69625 0.816872i −0.994534 0.104418i \(-0.966702\pi\)
−0.701719 0.712454i \(-0.747584\pi\)
\(174\) −1.74128 + 19.2962i −0.132006 + 1.46284i
\(175\) 3.56438 8.24630i 0.269442 0.623362i
\(176\) −12.2331 8.34040i −0.922106 0.628682i
\(177\) −12.4874 + 15.1797i −0.938611 + 1.14097i
\(178\) −3.26831 5.66087i −0.244970 0.424300i
\(179\) −0.0677596 + 0.904189i −0.00506459 + 0.0675822i −0.999163 0.0408961i \(-0.986979\pi\)
0.994099 + 0.108478i \(0.0345978\pi\)
\(180\) −0.541529 1.51349i −0.0403632 0.112809i
\(181\) 5.82942 + 25.5404i 0.433298 + 1.89840i 0.439142 + 0.898418i \(0.355283\pi\)
−0.00584394 + 0.999983i \(0.501860\pi\)
\(182\) −2.02422 3.79858i −0.150045 0.281570i
\(183\) 4.18586 + 5.41572i 0.309428 + 0.400341i
\(184\) −1.98913 + 26.5431i −0.146641 + 1.95678i
\(185\) −1.36615 + 5.98551i −0.100442 + 0.440063i
\(186\) 3.32677 + 0.0505568i 0.243931 + 0.00370701i
\(187\) 6.63803 + 29.0831i 0.485421 + 2.12677i
\(188\) −1.03110 + 1.29296i −0.0752008 + 0.0942988i
\(189\) 11.8729 + 6.93064i 0.863628 + 0.504130i
\(190\) 3.75728 + 4.71148i 0.272582 + 0.341806i
\(191\) −9.58273 + 12.0164i −0.693382 + 0.869474i −0.996510 0.0834762i \(-0.973398\pi\)
0.303128 + 0.952950i \(0.401969\pi\)
\(192\) −13.9896 + 6.47705i −1.00961 + 0.467441i
\(193\) −3.30025 + 4.13839i −0.237557 + 0.297888i −0.886292 0.463127i \(-0.846727\pi\)
0.648734 + 0.761015i \(0.275299\pi\)
\(194\) 11.6151 + 10.7772i 0.833914 + 0.773759i
\(195\) −1.80569 + 2.19499i −0.129308 + 0.157186i
\(196\) 2.74892 1.10058i 0.196352 0.0786128i
\(197\) 6.83753 0.487154 0.243577 0.969882i \(-0.421679\pi\)
0.243577 + 0.969882i \(0.421679\pi\)
\(198\) −8.87669 16.5143i −0.630839 1.17362i
\(199\) −0.801145 2.04128i −0.0567917 0.144703i 0.899662 0.436587i \(-0.143813\pi\)
−0.956454 + 0.291884i \(0.905718\pi\)
\(200\) 0.772093 + 10.3029i 0.0545952 + 0.728523i
\(201\) 1.98047 + 9.32819i 0.139692 + 0.657960i
\(202\) 4.10286 10.4539i 0.288676 0.735535i
\(203\) 7.85959 + 22.2180i 0.551635 + 1.55939i
\(204\) 4.17650 + 1.35812i 0.292414 + 0.0950872i
\(205\) −1.45488 6.37427i −0.101614 0.445198i
\(206\) 17.5143 2.63986i 1.22028 0.183928i
\(207\) −13.8062 + 22.3182i −0.959599 + 1.55122i
\(208\) 3.18445 + 2.17112i 0.220802 + 0.150540i
\(209\) −13.8208 12.8238i −0.956003 0.887041i
\(210\) 5.09331 + 5.21478i 0.351472 + 0.359854i
\(211\) 13.5724 12.5933i 0.934362 0.866961i −0.0569655 0.998376i \(-0.518143\pi\)
0.991327 + 0.131415i \(0.0419520\pi\)
\(212\) 1.05276 0.158679i 0.0723041 0.0108981i
\(213\) −3.58836 + 14.6891i −0.245870 + 1.00648i
\(214\) 7.19442 + 12.4611i 0.491800 + 0.851823i
\(215\) 2.01870 + 3.49648i 0.137674 + 0.238458i
\(216\) −15.7943 0.720519i −1.07467 0.0490251i
\(217\) 3.70390 1.63106i 0.251437 0.110724i
\(218\) 0.493872 0.336716i 0.0334493 0.0228053i
\(219\) −0.293821 + 3.25602i −0.0198546 + 0.220022i
\(220\) 0.593370 + 2.59973i 0.0400050 + 0.175273i
\(221\) −1.72797 7.57074i −0.116236 0.509263i
\(222\) 8.61921 + 6.07036i 0.578483 + 0.407416i
\(223\) 23.2880 15.8775i 1.55948 1.06324i 0.593431 0.804885i \(-0.297773\pi\)
0.966051 0.258352i \(-0.0831793\pi\)
\(224\) −4.03869 + 4.72556i −0.269847 + 0.315740i
\(225\) −4.00797 + 9.36490i −0.267198 + 0.624327i
\(226\) −1.93561 3.35258i −0.128755 0.223010i
\(227\) 1.23921 + 2.14637i 0.0822490 + 0.142460i 0.904216 0.427076i \(-0.140456\pi\)
−0.821967 + 0.569536i \(0.807123\pi\)
\(228\) −2.66449 + 0.777748i −0.176460 + 0.0515076i
\(229\) 4.58530 0.691122i 0.303005 0.0456707i 0.00421995 0.999991i \(-0.498657\pi\)
0.298785 + 0.954320i \(0.403419\pi\)
\(230\) −10.2004 + 9.46457i −0.672593 + 0.624075i
\(231\) −18.1887 13.7579i −1.19673 0.905203i
\(232\) −19.8684 18.4352i −1.30442 1.21033i
\(233\) −2.04163 1.39196i −0.133752 0.0911903i 0.494596 0.869123i \(-0.335316\pi\)
−0.628348 + 0.777933i \(0.716268\pi\)
\(234\) 2.31073 + 4.29890i 0.151057 + 0.281028i
\(235\) −4.89682 + 0.738078i −0.319434 + 0.0481469i
\(236\) −1.06820 4.68010i −0.0695340 0.304649i
\(237\) 5.73247 + 27.0005i 0.372364 + 1.75387i
\(238\) −19.7827 + 2.29736i −1.28232 + 0.148916i
\(239\) −2.05568 + 5.23778i −0.132971 + 0.338804i −0.981815 0.189839i \(-0.939203\pi\)
0.848845 + 0.528642i \(0.177299\pi\)
\(240\) −6.20721 2.01846i −0.400674 0.130291i
\(241\) −0.861348 11.4939i −0.0554843 0.740387i −0.953686 0.300804i \(-0.902745\pi\)
0.898202 0.439583i \(-0.144874\pi\)
\(242\) 6.31620 + 16.0934i 0.406021 + 1.03452i
\(243\) −13.4908 7.81014i −0.865435 0.501021i
\(244\) −1.67166 −0.107017
\(245\) 8.27579 + 3.18301i 0.528721 + 0.203355i
\(246\) −11.0749 1.84180i −0.706110 0.117429i
\(247\) 3.59774 + 3.33822i 0.228919 + 0.212406i
\(248\) −2.90200 + 3.63899i −0.184277 + 0.231076i
\(249\) 0.551750 6.11430i 0.0349657 0.387478i
\(250\) −8.32645 + 10.4410i −0.526611 + 0.660349i
\(251\) −6.72116 8.42807i −0.424236 0.531975i 0.523077 0.852286i \(-0.324784\pi\)
−0.947313 + 0.320311i \(0.896213\pi\)
\(252\) −3.11248 + 1.25914i −0.196068 + 0.0793184i
\(253\) 27.1434 34.0368i 1.70649 2.13987i
\(254\) −1.31609 5.76615i −0.0825786 0.361800i
\(255\) 6.40170 + 11.4877i 0.400890 + 0.719390i
\(256\) 2.15089 9.42367i 0.134431 0.588980i
\(257\) 0.219998 2.93567i 0.0137231 0.183122i −0.986130 0.165975i \(-0.946923\pi\)
0.999853 0.0171465i \(-0.00545818\pi\)
\(258\) 6.87026 0.928990i 0.427723 0.0578364i
\(259\) 12.6081 + 2.34104i 0.783427 + 0.145465i
\(260\) −0.154463 0.676745i −0.00957936 0.0419699i
\(261\) −9.00248 25.1606i −0.557240 1.55740i
\(262\) 1.39277 18.5852i 0.0860457 1.14820i
\(263\) 4.86492 + 8.42630i 0.299984 + 0.519588i 0.976132 0.217178i \(-0.0696853\pi\)
−0.676148 + 0.736766i \(0.736352\pi\)
\(264\) 25.8728 + 4.30274i 1.59236 + 0.264816i
\(265\) 2.63412 + 1.79591i 0.161813 + 0.110322i
\(266\) 9.51256 8.24288i 0.583252 0.505403i
\(267\) 7.37108 + 5.19132i 0.451103 + 0.317704i
\(268\) −2.09831 1.01049i −0.128174 0.0617255i
\(269\) 20.1867 + 6.22677i 1.23080 + 0.379653i 0.840894 0.541200i \(-0.182030\pi\)
0.389910 + 0.920853i \(0.372506\pi\)
\(270\) −5.79650 5.89220i −0.352764 0.358588i
\(271\) 0.506131 + 6.75385i 0.0307453 + 0.410267i 0.991249 + 0.132002i \(0.0421405\pi\)
−0.960504 + 0.278266i \(0.910240\pi\)
\(272\) 14.7343 10.0457i 0.893400 0.609110i
\(273\) 4.73478 + 3.58137i 0.286562 + 0.216754i
\(274\) 9.70753 + 6.61848i 0.586453 + 0.399837i
\(275\) 8.44914 14.6343i 0.509502 0.882483i
\(276\) −2.25063 6.00109i −0.135472 0.361223i
\(277\) 25.7119 + 17.5301i 1.54488 + 1.05328i 0.972387 + 0.233373i \(0.0749762\pi\)
0.572494 + 0.819909i \(0.305976\pi\)
\(278\) −5.01138 + 12.7688i −0.300563 + 0.765821i
\(279\) −4.19315 + 1.86454i −0.251037 + 0.111627i
\(280\) −10.1293 + 1.17631i −0.605340 + 0.0702980i
\(281\) −15.9721 14.8199i −0.952813 0.884081i 0.0405411 0.999178i \(-0.487092\pi\)
−0.993354 + 0.115096i \(0.963282\pi\)
\(282\) −2.01797 + 8.26061i −0.120168 + 0.491912i
\(283\) −5.97230 + 26.1664i −0.355016 + 1.55543i 0.410407 + 0.911902i \(0.365387\pi\)
−0.765424 + 0.643526i \(0.777471\pi\)
\(284\) −2.30249 2.88723i −0.136628 0.171326i
\(285\) −7.43292 3.71968i −0.440288 0.220335i
\(286\) −2.95792 7.53665i −0.174905 0.445651i
\(287\) −13.1790 + 3.57954i −0.777931 + 0.211293i
\(288\) 4.56015 5.37472i 0.268709 0.316708i
\(289\) −18.7189 2.82142i −1.10111 0.165966i
\(290\) −1.05886 14.1295i −0.0621782 0.829711i
\(291\) −20.7829 6.75819i −1.21832 0.396172i
\(292\) −0.585290 0.543069i −0.0342515 0.0317807i
\(293\) 9.06526 + 15.7015i 0.529598 + 0.917291i 0.999404 + 0.0345212i \(0.0109906\pi\)
−0.469806 + 0.882770i \(0.655676\pi\)
\(294\) 10.4491 11.0740i 0.609403 0.645851i
\(295\) 7.18742 12.4490i 0.418468 0.724808i
\(296\) −14.0927 + 4.34701i −0.819119 + 0.252665i
\(297\) 20.6800 + 15.5257i 1.19998 + 0.900893i
\(298\) 17.1711 11.7071i 0.994696 0.678172i
\(299\) −7.06582 + 8.86025i −0.408627 + 0.512402i
\(300\) −1.21101 2.17314i −0.0699179 0.125466i
\(301\) 7.12506 4.51095i 0.410681 0.260007i
\(302\) −11.0425 1.66438i −0.635422 0.0957745i
\(303\) 0.922684 + 15.4619i 0.0530068 + 0.888262i
\(304\) −4.11768 + 10.4917i −0.236165 + 0.601739i
\(305\) −3.66948 3.40478i −0.210114 0.194957i
\(306\) 22.4220 2.68561i 1.28178 0.153526i
\(307\) 3.59177 15.7366i 0.204993 0.898133i −0.762849 0.646576i \(-0.776200\pi\)
0.967842 0.251557i \(-0.0809426\pi\)
\(308\) 5.37501 1.45990i 0.306269 0.0831857i
\(309\) −20.3915 + 13.4534i −1.16003 + 0.765338i
\(310\) −2.40605 + 0.362653i −0.136654 + 0.0205973i
\(311\) 16.3560 7.87664i 0.927465 0.446643i 0.0917343 0.995784i \(-0.470759\pi\)
0.835730 + 0.549140i \(0.185045\pi\)
\(312\) −6.73506 1.12006i −0.381298 0.0634112i
\(313\) −4.98046 −0.281512 −0.140756 0.990044i \(-0.544953\pi\)
−0.140756 + 0.990044i \(0.544953\pi\)
\(314\) −2.97041 + 1.43047i −0.167630 + 0.0807264i
\(315\) −9.39678 3.57542i −0.529448 0.201452i
\(316\) −6.07355 2.92487i −0.341664 0.164537i
\(317\) 24.6470 + 11.8694i 1.38431 + 0.666651i 0.969915 0.243445i \(-0.0782774\pi\)
0.414399 + 0.910095i \(0.363992\pi\)
\(318\) 4.56949 3.01475i 0.256245 0.169059i
\(319\) 9.86431 + 43.2184i 0.552295 + 2.41976i
\(320\) 9.31523 6.35102i 0.520737 0.355033i
\(321\) −16.2257 11.4275i −0.905631 0.637820i
\(322\) 20.6216 + 20.4814i 1.14920 + 1.14138i
\(323\) 20.4598 9.85291i 1.13841 0.548230i
\(324\) 3.52406 1.44041i 0.195781 0.0800230i
\(325\) −2.19943 + 3.80952i −0.122002 + 0.211314i
\(326\) −17.0114 11.5982i −0.942173 0.642363i
\(327\) −0.423018 + 0.707633i −0.0233929 + 0.0391322i
\(328\) 11.5131 10.6826i 0.635706 0.589849i
\(329\) 1.95767 + 10.1567i 0.107930 + 0.559956i
\(330\) 8.38504 + 10.8487i 0.461581 + 0.597200i
\(331\) −2.72400 + 1.31181i −0.149725 + 0.0721035i −0.507246 0.861802i \(-0.669336\pi\)
0.357521 + 0.933905i \(0.383622\pi\)
\(332\) 1.09908 + 1.01980i 0.0603199 + 0.0559687i
\(333\) −14.3057 2.60306i −0.783945 0.142647i
\(334\) 8.98590 8.33770i 0.491687 0.456219i
\(335\) −2.54787 6.49188i −0.139205 0.354689i
\(336\) −3.68351 + 13.1263i −0.200952 + 0.716101i
\(337\) 5.20627 13.2654i 0.283604 0.722610i −0.716094 0.698004i \(-0.754072\pi\)
0.999697 0.0246060i \(-0.00783311\pi\)
\(338\) −5.19427 13.2348i −0.282531 0.719878i
\(339\) 4.36543 + 3.07449i 0.237097 + 0.166984i
\(340\) −3.17592 0.478693i −0.172239 0.0259608i
\(341\) 7.27444 2.24387i 0.393933 0.121512i
\(342\) −10.7525 + 9.38528i −0.581431 + 0.507498i
\(343\) 5.93760 17.5427i 0.320600 0.947215i
\(344\) −4.84922 + 8.39909i −0.261452 + 0.452849i
\(345\) 7.28240 17.7570i 0.392071 0.956006i
\(346\) 19.3887 24.3126i 1.04234 1.30705i
\(347\) −21.0838 10.1534i −1.13184 0.545065i −0.228309 0.973589i \(-0.573320\pi\)
−0.903531 + 0.428523i \(0.859034\pi\)
\(348\) 6.20640 + 2.01820i 0.332698 + 0.108187i
\(349\) 3.22407 0.485950i 0.172580 0.0260123i −0.0621835 0.998065i \(-0.519806\pi\)
0.234764 + 0.972052i \(0.424568\pi\)
\(350\) 9.09991 + 6.66820i 0.486411 + 0.356430i
\(351\) −5.38331 4.04156i −0.287340 0.215722i
\(352\) −8.57143 + 7.95312i −0.456859 + 0.423903i
\(353\) −8.52089 + 21.7109i −0.453521 + 1.15555i 0.503102 + 0.864227i \(0.332192\pi\)
−0.956624 + 0.291327i \(0.905903\pi\)
\(354\) −15.0950 19.5301i −0.802290 1.03801i
\(355\) 0.826390 11.0274i 0.0438602 0.585274i
\(356\) −2.10402 + 0.649005i −0.111513 + 0.0343972i
\(357\) 23.4291 14.3392i 1.24000 0.758912i
\(358\) −1.08806 0.335623i −0.0575059 0.0177382i
\(359\) 9.48634 24.1708i 0.500670 1.27569i −0.427664 0.903938i \(-0.640663\pi\)
0.928334 0.371748i \(-0.121241\pi\)
\(360\) 11.4807 1.37511i 0.605084 0.0724745i
\(361\) 2.32387 4.02506i 0.122309 0.211845i
\(362\) −32.8980 −1.72908
\(363\) −17.2314 16.4827i −0.904414 0.865117i
\(364\) −1.39919 + 0.380033i −0.0733374 + 0.0199192i
\(365\) −0.178670 2.38419i −0.00935203 0.124794i
\(366\) −7.80014 + 3.61138i −0.407720 + 0.188770i
\(367\) 10.3380 9.59229i 0.539641 0.500713i −0.362601 0.931945i \(-0.618111\pi\)
0.902242 + 0.431231i \(0.141921\pi\)
\(368\) −24.8689 7.67102i −1.29638 0.399880i
\(369\) 14.9289 4.11253i 0.777166 0.214090i
\(370\) −6.94629 3.34516i −0.361121 0.173907i
\(371\) 3.52355 5.65040i 0.182934 0.293354i
\(372\) 0.265964 1.08873i 0.0137896 0.0564480i
\(373\) −2.26649 + 3.92567i −0.117354 + 0.203264i −0.918718 0.394913i \(-0.870775\pi\)
0.801364 + 0.598177i \(0.204108\pi\)
\(374\) −37.4613 −1.93708
\(375\) 4.37111 17.8933i 0.225723 0.924005i
\(376\) −7.41690 9.30050i −0.382497 0.479637i
\(377\) −2.56782 11.2503i −0.132249 0.579422i
\(378\) −11.8029 + 12.5993i −0.607077 + 0.648039i
\(379\) 0.351662 1.54073i 0.0180637 0.0791421i −0.965093 0.261909i \(-0.915648\pi\)
0.983156 + 0.182766i \(0.0585052\pi\)
\(380\) 1.82889 0.880746i 0.0938200 0.0451813i
\(381\) 4.98864 + 6.45437i 0.255576 + 0.330667i
\(382\) −12.0338 15.0900i −0.615705 0.772069i
\(383\) 2.98378 + 0.920374i 0.152464 + 0.0470289i 0.370048 0.929013i \(-0.379341\pi\)
−0.217584 + 0.976042i \(0.569818\pi\)
\(384\) −2.33029 10.9759i −0.118917 0.560110i
\(385\) 14.7722 + 7.74296i 0.752860 + 0.394618i
\(386\) −4.14440 5.19692i −0.210945 0.264516i
\(387\) −8.06061 + 5.14396i −0.409744 + 0.261482i
\(388\) 4.40988 3.00660i 0.223878 0.152637i
\(389\) −6.01813 0.907087i −0.305131 0.0459911i −0.00530806 0.999986i \(-0.501690\pi\)
−0.299823 + 0.953995i \(0.596928\pi\)
\(390\) −2.18274 2.82406i −0.110528 0.143002i
\(391\) 26.2179 + 45.4108i 1.32590 + 2.29652i
\(392\) 3.31816 + 21.0394i 0.167593 + 1.06265i
\(393\) 9.02667 + 24.0687i 0.455335 + 1.21411i
\(394\) −1.91067 + 8.37118i −0.0962580 + 0.421734i
\(395\) −7.37483 18.7908i −0.371068 0.945466i
\(396\) −6.08869 + 1.67728i −0.305968 + 0.0842866i
\(397\) 3.32542 + 0.501227i 0.166898 + 0.0251559i 0.231960 0.972725i \(-0.425486\pi\)
−0.0650615 + 0.997881i \(0.520724\pi\)
\(398\) 2.72301 0.410428i 0.136492 0.0205729i
\(399\) −7.12947 + 15.8293i −0.356920 + 0.792458i
\(400\) −9.98897 1.50560i −0.499449 0.0752798i
\(401\) 10.5332 + 3.24905i 0.526001 + 0.162250i 0.546372 0.837543i \(-0.316009\pi\)
−0.0203711 + 0.999792i \(0.506485\pi\)
\(402\) −11.9739 0.181967i −0.597204 0.00907568i
\(403\) −1.89364 + 0.584110i −0.0943288 + 0.0290966i
\(404\) −3.12556 2.13097i −0.155502 0.106020i
\(405\) 10.6695 + 4.01580i 0.530170 + 0.199547i
\(406\) −29.3977 + 3.41394i −1.45898 + 0.169431i
\(407\) 23.0495 + 7.10982i 1.14252 + 0.352421i
\(408\) −16.2093 + 27.1153i −0.802480 + 1.34241i
\(409\) 16.5650 7.97728i 0.819086 0.394451i 0.0230753 0.999734i \(-0.492654\pi\)
0.796011 + 0.605283i \(0.206940\pi\)
\(410\) 8.21055 0.405490
\(411\) −15.9855 2.65844i −0.788504 0.131131i
\(412\) 0.445862 5.94962i 0.0219661 0.293117i
\(413\) −26.5933 13.9391i −1.30857 0.685898i
\(414\) −23.4661 23.1395i −1.15330 1.13724i
\(415\) 0.335515 + 4.47713i 0.0164698 + 0.219774i
\(416\) 2.23126 2.07031i 0.109397 0.101505i
\(417\) −1.12700 18.8857i −0.0551894 0.924837i
\(418\) 19.5622 13.3373i 0.956820 0.652349i
\(419\) −2.37160 31.6468i −0.115860 1.54605i −0.687891 0.725814i \(-0.741463\pi\)
0.572031 0.820232i \(-0.306156\pi\)
\(420\) 2.09432 1.28178i 0.102192 0.0625443i
\(421\) −1.38506 + 18.4823i −0.0675036 + 0.900773i 0.855949 + 0.517061i \(0.172974\pi\)
−0.923452 + 0.383713i \(0.874645\pi\)
\(422\) 11.6254 + 20.1357i 0.565914 + 0.980191i
\(423\) −2.26119 11.5085i −0.109943 0.559564i
\(424\) −0.572303 + 7.63685i −0.0277935 + 0.370878i
\(425\) 12.6901 + 15.9129i 0.615560 + 0.771888i
\(426\) −16.9811 8.49791i −0.822736 0.411725i
\(427\) −6.79299 + 7.94829i −0.328736 + 0.384644i
\(428\) 4.63151 1.42863i 0.223873 0.0690556i
\(429\) 8.06957 + 7.71895i 0.389603 + 0.372674i
\(430\) −4.84484 + 1.49444i −0.233639 + 0.0720681i
\(431\) 16.0752 2.42295i 0.774315 0.116709i 0.250014 0.968242i \(-0.419565\pi\)
0.524301 + 0.851533i \(0.324327\pi\)
\(432\) 4.12315 14.8988i 0.198375 0.716819i
\(433\) −5.33582 + 6.69090i −0.256423 + 0.321544i −0.893334 0.449393i \(-0.851640\pi\)
0.636911 + 0.770937i \(0.280212\pi\)
\(434\) 0.961895 + 4.99046i 0.0461725 + 0.239550i
\(435\) 9.51312 + 17.0711i 0.456119 + 0.818498i
\(436\) −0.0735599 0.187428i −0.00352288 0.00897615i
\(437\) −29.8585 14.3791i −1.42833 0.687845i
\(438\) −3.90424 1.26958i −0.186552 0.0606630i
\(439\) 7.10828 31.1434i 0.339260 1.48639i −0.461355 0.887215i \(-0.652637\pi\)
0.800615 0.599179i \(-0.204506\pi\)
\(440\) −19.1812 −0.914429
\(441\) −6.66102 + 19.9156i −0.317192 + 0.948361i
\(442\) 9.75171 0.463841
\(443\) −2.57838 + 11.2966i −0.122503 + 0.536719i 0.876015 + 0.482284i \(0.160193\pi\)
−0.998517 + 0.0544346i \(0.982664\pi\)
\(444\) 2.63958 2.37556i 0.125269 0.112739i
\(445\) −5.94042 2.86075i −0.281603 0.135613i
\(446\) 12.9312 + 32.9483i 0.612312 + 1.56015i
\(447\) −14.7076 + 24.6032i −0.695646 + 1.16369i
\(448\) −14.0483 18.8995i −0.663720 0.892916i
\(449\) −9.61435 + 12.0560i −0.453729 + 0.568958i −0.955104 0.296272i \(-0.904256\pi\)
0.501374 + 0.865230i \(0.332828\pi\)
\(450\) −10.3455 7.52387i −0.487689 0.354678i
\(451\) −25.4009 + 3.82856i −1.19608 + 0.180280i
\(452\) −1.24608 + 0.384365i −0.0586107 + 0.0180790i
\(453\) 14.7854 4.31578i 0.694681 0.202773i
\(454\) −2.97408 + 0.917382i −0.139580 + 0.0430548i
\(455\) −3.84540 2.01560i −0.180275 0.0944928i
\(456\) −1.18935 19.9305i −0.0556963 0.933332i
\(457\) 9.32963 + 11.6990i 0.436422 + 0.547255i 0.950596 0.310430i \(-0.100473\pi\)
−0.514175 + 0.857686i \(0.671902\pi\)
\(458\) −0.435167 + 5.80690i −0.0203340 + 0.271339i
\(459\) −26.5075 + 16.3546i −1.23726 + 0.763367i
\(460\) 2.34361 + 4.05925i 0.109271 + 0.189263i
\(461\) 1.43740 19.1808i 0.0669463 0.893337i −0.858100 0.513483i \(-0.828355\pi\)
0.925046 0.379854i \(-0.124026\pi\)
\(462\) 21.9264 18.4240i 1.02011 0.857160i
\(463\) −0.249027 3.32303i −0.0115733 0.154434i −0.999996 0.00271146i \(-0.999137\pi\)
0.988423 0.151723i \(-0.0484821\pi\)
\(464\) 21.8956 14.9282i 1.01648 0.693024i
\(465\) 2.80130 1.84817i 0.129907 0.0857070i
\(466\) 2.27468 2.11060i 0.105373 0.0977716i
\(467\) 1.06238 + 14.1765i 0.0491612 + 0.656011i 0.966296 + 0.257434i \(0.0828769\pi\)
−0.917135 + 0.398577i \(0.869504\pi\)
\(468\) 1.58497 0.436620i 0.0732653 0.0201828i
\(469\) −13.3313 + 5.87061i −0.615582 + 0.271079i
\(470\) 0.464732 6.20142i 0.0214365 0.286050i
\(471\) 2.88888 3.51172i 0.133113 0.161812i
\(472\) 34.5306 1.58940
\(473\) 14.2916 6.88245i 0.657126 0.316455i
\(474\) −34.6585 0.526704i −1.59192 0.0241923i
\(475\) −12.2922 3.79163i −0.564003 0.173972i
\(476\) −0.728368 + 6.66888i −0.0333847 + 0.305668i
\(477\) −3.97226 + 6.42128i −0.181877 + 0.294010i
\(478\) −5.83817 3.98039i −0.267031 0.182059i
\(479\) −27.5186 + 8.48836i −1.25736 + 0.387843i −0.850658 0.525720i \(-0.823796\pi\)
−0.406698 + 0.913563i \(0.633320\pi\)
\(480\) −2.64493 + 4.42449i −0.120724 + 0.201950i
\(481\) −6.00010 1.85079i −0.273581 0.0843886i
\(482\) 14.3127 + 2.15729i 0.651923 + 0.0982616i
\(483\) −37.6792 13.6850i −1.71446 0.622687i
\(484\) 5.75855 0.867962i 0.261752 0.0394528i
\(485\) 15.8039 + 2.38205i 0.717617 + 0.108163i
\(486\) 13.3318 14.3343i 0.604742 0.650218i
\(487\) −3.15545 8.03996i −0.142987 0.364325i 0.841383 0.540440i \(-0.181742\pi\)
−0.984370 + 0.176115i \(0.943647\pi\)
\(488\) 2.67572 11.7231i 0.121124 0.530680i
\(489\) 28.0127 + 4.65862i 1.26678 + 0.210670i
\(490\) −6.20952 + 9.24258i −0.280517 + 0.417537i
\(491\) −0.524275 0.908071i −0.0236602 0.0409807i 0.853953 0.520350i \(-0.174199\pi\)
−0.877613 + 0.479370i \(0.840865\pi\)
\(492\) −1.43498 + 3.49897i −0.0646938 + 0.157746i
\(493\) −52.7972 7.95790i −2.37787 0.358406i
\(494\) −5.09232 + 3.47188i −0.229114 + 0.156207i
\(495\) −16.7815 8.71939i −0.754274 0.391908i
\(496\) −2.83741 3.55800i −0.127403 0.159759i
\(497\) −23.0844 0.784892i −1.03548 0.0352072i
\(498\) 7.33154 + 2.38407i 0.328534 + 0.106833i
\(499\) −27.4232 8.45893i −1.22763 0.378674i −0.387912 0.921697i \(-0.626803\pi\)
−0.839718 + 0.543023i \(0.817280\pi\)
\(500\) 2.80475 + 3.51704i 0.125432 + 0.157287i
\(501\) −6.41535 + 15.6428i −0.286617 + 0.698870i
\(502\) 12.1966 5.87358i 0.544362 0.262151i
\(503\) −2.03777 + 8.92805i −0.0908597 + 0.398082i −0.999823 0.0187930i \(-0.994018\pi\)
0.908964 + 0.416875i \(0.136875\pi\)
\(504\) −3.84821 23.8427i −0.171413 1.06204i
\(505\) −2.52066 11.0437i −0.112168 0.491439i
\(506\) 34.0863 + 42.7428i 1.51532 + 1.90015i
\(507\) 14.1706 + 13.5549i 0.629340 + 0.601995i
\(508\) −1.99226 −0.0883924
\(509\) −9.47903 + 16.4182i −0.420151 + 0.727722i −0.995954 0.0898659i \(-0.971356\pi\)
0.575803 + 0.817588i \(0.304689\pi\)
\(510\) −15.8533 + 4.62748i −0.701996 + 0.204908i
\(511\) −4.96053 + 0.576064i −0.219441 + 0.0254836i
\(512\) 22.6096 + 10.8882i 0.999213 + 0.481195i
\(513\) 8.01945 17.9777i 0.354068 0.793737i
\(514\) 3.53266 + 1.08968i 0.155819 + 0.0480637i
\(515\) 13.0967 12.1519i 0.577108 0.535478i
\(516\) 0.209882 2.32584i 0.00923955 0.102389i
\(517\) 1.45397 + 19.4019i 0.0639457 + 0.853296i
\(518\) −6.38931 + 14.7819i −0.280730 + 0.649477i
\(519\) −10.1784 + 41.6656i −0.446782 + 1.82892i
\(520\) 4.99314 0.218964
\(521\) −11.8120 + 20.4589i −0.517491 + 0.896321i 0.482302 + 0.876005i \(0.339801\pi\)
−0.999794 + 0.0203163i \(0.993533\pi\)
\(522\) 33.3197 3.99090i 1.45836 0.174677i
\(523\) −12.3178 + 31.3854i −0.538622 + 1.37239i 0.359708 + 0.933065i \(0.382876\pi\)
−0.898330 + 0.439321i \(0.855219\pi\)
\(524\) −5.99903 1.85046i −0.262069 0.0808376i
\(525\) −15.2537 3.07277i −0.665728 0.134107i
\(526\) −11.6757 + 3.60149i −0.509087 + 0.157032i
\(527\) −0.685211 + 9.14351i −0.0298483 + 0.398297i
\(528\) −9.73060 + 23.7266i −0.423470 + 1.03257i
\(529\) 19.5544 49.8238i 0.850190 2.16625i
\(530\) −2.93480 + 2.72310i −0.127480 + 0.118284i
\(531\) 30.2106 + 15.6969i 1.31103 + 0.681187i
\(532\) −1.99396 3.74180i −0.0864491 0.162227i
\(533\) 6.61220 0.996629i 0.286406 0.0431688i
\(534\) −8.41549 + 7.57374i −0.364174 + 0.327748i
\(535\) 13.0764 + 6.29728i 0.565344 + 0.272255i
\(536\) 10.4450 13.0976i 0.451156 0.565732i
\(537\) 1.55633 0.210445i 0.0671605 0.00908138i
\(538\) −13.2644 + 22.9745i −0.571867 + 0.990502i
\(539\) 14.9005 31.4891i 0.641810 1.35633i
\(540\) −2.36949 + 1.46193i −0.101967 + 0.0629114i
\(541\) −2.35858 + 0.727525i −0.101403 + 0.0312788i −0.345042 0.938587i \(-0.612135\pi\)
0.243638 + 0.969866i \(0.421659\pi\)
\(542\) −8.41017 1.26763i −0.361248 0.0544493i
\(543\) 41.1758 19.0639i 1.76702 0.818112i
\(544\) −5.14529 13.1100i −0.220603 0.562086i
\(545\) 0.220273 0.561247i 0.00943547 0.0240412i
\(546\) −5.70774 + 4.79601i −0.244269 + 0.205250i
\(547\) 2.21266 + 5.63776i 0.0946064 + 0.241053i 0.970341 0.241739i \(-0.0777178\pi\)
−0.875735 + 0.482792i \(0.839623\pi\)
\(548\) 2.90116 2.69188i 0.123931 0.114991i
\(549\) 7.67006 9.04015i 0.327350 0.385824i
\(550\) 15.5558 + 14.4337i 0.663301 + 0.615453i
\(551\) 30.4038 14.6417i 1.29525 0.623758i
\(552\) 45.6871 6.17777i 1.94457 0.262943i
\(553\) −38.5874 + 16.9925i −1.64091 + 0.722594i
\(554\) −28.6470 + 26.5805i −1.21709 + 1.12930i
\(555\) 10.6326 + 0.161583i 0.451328 + 0.00685881i
\(556\) 3.81767 + 2.60284i 0.161905 + 0.110385i
\(557\) 4.97764 8.62152i 0.210909 0.365305i −0.741090 0.671406i \(-0.765691\pi\)
0.951999 + 0.306100i \(0.0990242\pi\)
\(558\) −1.11103 5.65469i −0.0470336 0.239382i
\(559\) −3.72029 + 1.79160i −0.157352 + 0.0757765i
\(560\) 1.08252 9.91145i 0.0457447 0.418835i
\(561\) 46.8873 21.7083i 1.97958 0.916527i
\(562\) 22.6072 15.4133i 0.953627 0.650172i
\(563\) 7.49904 + 32.8554i 0.316047 + 1.38469i 0.844421 + 0.535680i \(0.179945\pi\)
−0.528374 + 0.849012i \(0.677198\pi\)
\(564\) 2.56155 + 1.28188i 0.107861 + 0.0539771i
\(565\) −3.51814 1.69425i −0.148009 0.0712774i
\(566\) −30.3665 14.6238i −1.27640 0.614682i
\(567\) 7.47163 22.6092i 0.313779 0.949496i
\(568\) 23.9331 11.5256i 1.00421 0.483603i
\(569\) −31.9206 −1.33818 −0.669091 0.743180i \(-0.733316\pi\)
−0.669091 + 0.743180i \(0.733316\pi\)
\(570\) 6.63104 8.06069i 0.277744 0.337625i
\(571\) −39.6792 + 19.1085i −1.66052 + 0.799665i −0.661770 + 0.749707i \(0.730194\pi\)
−0.998751 + 0.0499579i \(0.984091\pi\)
\(572\) −2.69677 + 0.406472i −0.112757 + 0.0169954i
\(573\) 23.8062 + 11.9134i 0.994519 + 0.497691i
\(574\) −0.699712 17.1353i −0.0292054 0.715212i
\(575\) 6.60957 28.9584i 0.275638 1.20765i
\(576\) 16.0062 + 21.3726i 0.666927 + 0.890523i
\(577\) 1.93511 + 1.79552i 0.0805596 + 0.0747484i 0.719425 0.694570i \(-0.244405\pi\)
−0.638865 + 0.769319i \(0.720596\pi\)
\(578\) 8.68505 22.1291i 0.361250 0.920451i
\(579\) 8.19876 + 4.10294i 0.340729 + 0.170512i
\(580\) −4.71951 0.711352i −0.195967 0.0295373i
\(581\) 9.31509 1.08176i 0.386455 0.0448789i
\(582\) 14.0816 23.5560i 0.583700 0.976427i
\(583\) 7.80958 9.79291i 0.323440 0.405581i
\(584\) 4.74529 3.23529i 0.196362 0.133877i
\(585\) 4.36847 + 2.26978i 0.180614 + 0.0938438i
\(586\) −21.7565 + 6.71099i −0.898752 + 0.277228i
\(587\) −1.11975 + 1.93947i −0.0462172 + 0.0800505i −0.888209 0.459440i \(-0.848050\pi\)
0.841991 + 0.539491i \(0.181383\pi\)
\(588\) −2.85352 4.26157i −0.117677 0.175744i
\(589\) −2.89753 5.01867i −0.119391 0.206791i
\(590\) 13.2328 + 12.2783i 0.544787 + 0.505488i
\(591\) −2.45956 11.5847i −0.101173 0.476532i
\(592\) −1.07758 14.3793i −0.0442882 0.590986i
\(593\) 22.6401 + 3.41244i 0.929716 + 0.140132i 0.596404 0.802684i \(-0.296596\pi\)
0.333312 + 0.942817i \(0.391834\pi\)
\(594\) −24.7869 + 20.9801i −1.01702 + 0.860823i
\(595\) −15.1818 + 13.1554i −0.622392 + 0.539318i
\(596\) −2.55755 6.51654i −0.104761 0.266928i
\(597\) −3.17034 + 2.09165i −0.129753 + 0.0856054i
\(598\) −8.87313 11.1266i −0.362849 0.454999i
\(599\) 5.06346 22.1845i 0.206887 0.906433i −0.759736 0.650231i \(-0.774672\pi\)
0.966623 0.256201i \(-0.0824709\pi\)
\(600\) 17.1783 5.01423i 0.701300 0.204705i
\(601\) −1.98137 1.83844i −0.0808217 0.0749916i 0.638728 0.769433i \(-0.279461\pi\)
−0.719549 + 0.694441i \(0.755652\pi\)
\(602\) 3.53174 + 9.98373i 0.143943 + 0.406906i
\(603\) 15.0922 6.71096i 0.614603 0.273292i
\(604\) −1.37428 + 3.50161i −0.0559187 + 0.142479i
\(605\) 14.4085 + 9.82352i 0.585787 + 0.399383i
\(606\) −19.1878 3.19100i −0.779451 0.129625i
\(607\) −9.15570 + 15.8581i −0.371618 + 0.643662i −0.989815 0.142362i \(-0.954530\pi\)
0.618196 + 0.786024i \(0.287864\pi\)
\(608\) 7.35439 + 5.01414i 0.298260 + 0.203350i
\(609\) 34.8164 21.3085i 1.41083 0.863464i
\(610\) 5.19386 3.54111i 0.210293 0.143375i
\(611\) −0.378490 5.05060i −0.0153121 0.204325i
\(612\) 0.798692 7.56472i 0.0322852 0.305786i
\(613\) 9.70200 + 2.99267i 0.391860 + 0.120873i 0.484423 0.874834i \(-0.339030\pi\)
−0.0925626 + 0.995707i \(0.529506\pi\)
\(614\) 18.2626 + 8.79479i 0.737018 + 0.354929i
\(615\) −10.2765 + 4.75790i −0.414388 + 0.191857i
\(616\) 1.63464 + 40.0308i 0.0658617 + 1.61289i
\(617\) −17.1793 11.7127i −0.691614 0.471534i 0.165802 0.986159i \(-0.446979\pi\)
−0.857416 + 0.514625i \(0.827931\pi\)
\(618\) −10.7728 28.7247i −0.433347 1.15548i
\(619\) −0.720714 1.24831i −0.0289680 0.0501740i 0.851178 0.524877i \(-0.175889\pi\)
−0.880146 + 0.474703i \(0.842555\pi\)
\(620\) −0.0612507 + 0.817333i −0.00245989 + 0.0328249i
\(621\) 42.7797 + 15.3635i 1.71669 + 0.616517i
\(622\) 5.07287 + 22.2257i 0.203403 + 0.891169i
\(623\) −5.46409 + 12.6413i −0.218914 + 0.506464i
\(624\) 2.53301 6.17636i 0.101402 0.247252i
\(625\) 0.262078 3.49719i 0.0104831 0.139888i
\(626\) 1.39173 6.09757i 0.0556247 0.243708i
\(627\) −16.7557 + 28.0293i −0.669157 + 1.11938i
\(628\) 0.247122 + 1.08271i 0.00986124 + 0.0432049i
\(629\) −18.1142 + 22.7145i −0.722262 + 0.905687i
\(630\) 7.00320 10.5054i 0.279014 0.418543i
\(631\) 18.4847 + 23.1791i 0.735863 + 0.922743i 0.999118 0.0419829i \(-0.0133675\pi\)
−0.263255 + 0.964726i \(0.584796\pi\)
\(632\) 30.2332 37.9112i 1.20261 1.50803i
\(633\) −26.2189 18.4655i −1.04211 0.733938i
\(634\) −21.4190 + 26.8585i −0.850656 + 1.06669i
\(635\) −4.37323 4.05776i −0.173546 0.161027i
\(636\) −0.647541 1.72660i −0.0256767 0.0684643i
\(637\) −3.87881 + 8.19705i −0.153684 + 0.324779i
\(638\) −55.6686 −2.20394
\(639\) 26.1783 + 0.795844i 1.03560 + 0.0314831i
\(640\) 2.99792 + 7.63857i 0.118503 + 0.301941i
\(641\) 1.63752 + 21.8512i 0.0646783 + 0.863072i 0.931334 + 0.364165i \(0.118646\pi\)
−0.866656 + 0.498906i \(0.833735\pi\)
\(642\) 18.5247 16.6718i 0.731113 0.657985i
\(643\) −0.00872667 + 0.0222352i −0.000344146 + 0.000876871i −0.931046 0.364903i \(-0.881102\pi\)
0.930702 + 0.365779i \(0.119198\pi\)
\(644\) 8.27185 5.23700i 0.325956 0.206367i
\(645\) 5.19789 4.67798i 0.204667 0.184195i
\(646\) 6.34566 + 27.8021i 0.249667 + 1.09386i
\(647\) −7.57590 + 1.14188i −0.297839 + 0.0448921i −0.296262 0.955107i \(-0.595740\pi\)
−0.00157731 + 0.999999i \(0.500502\pi\)
\(648\) 4.46066 + 27.0192i 0.175231 + 1.06142i
\(649\) −46.6635 31.8146i −1.83170 1.24883i
\(650\) −4.04939 3.75728i −0.158830 0.147373i
\(651\) −4.09583 5.68876i −0.160528 0.222960i
\(652\) −5.08396 + 4.71723i −0.199103 + 0.184741i
\(653\) 9.02870 1.36086i 0.353320 0.0532545i 0.0300158 0.999549i \(-0.490444\pi\)
0.323305 + 0.946295i \(0.395206\pi\)
\(654\) −0.748147 0.715639i −0.0292549 0.0279837i
\(655\) −9.39958 16.2805i −0.367272 0.636133i
\(656\) 7.67808 + 13.2988i 0.299779 + 0.519232i
\(657\) 5.62233 0.673420i 0.219348 0.0262726i
\(658\) −12.9818 0.441395i −0.506085 0.0172074i
\(659\) 28.8993 19.7032i 1.12576 0.767529i 0.150503 0.988610i \(-0.451911\pi\)
0.975256 + 0.221081i \(0.0709584\pi\)
\(660\) 4.19123 1.94050i 0.163144 0.0755337i
\(661\) −8.78145 38.4740i −0.341559 1.49647i −0.795784 0.605580i \(-0.792941\pi\)
0.454226 0.890887i \(-0.349916\pi\)
\(662\) −0.844856 3.70156i −0.0328363 0.143865i
\(663\) −12.2054 + 5.65098i −0.474020 + 0.219466i
\(664\) −8.91091 + 6.07536i −0.345810 + 0.235770i
\(665\) 3.24419 12.2749i 0.125804 0.475998i
\(666\) 7.18447 16.7870i 0.278393 0.650483i
\(667\) 38.9606 + 67.4818i 1.50856 + 2.61291i
\(668\) −2.06457 3.57595i −0.0798808 0.138358i
\(669\) −35.2781 33.7452i −1.36393 1.30467i
\(670\) 8.65997 1.30528i 0.334564 0.0504274i
\(671\) −14.4169 + 13.3770i −0.556560 + 0.516412i
\(672\) 9.45923 + 5.14285i 0.364898 + 0.198390i
\(673\) 23.6428 + 21.9373i 0.911363 + 0.845621i 0.988472 0.151402i \(-0.0483787\pi\)
−0.0771096 + 0.997023i \(0.524569\pi\)
\(674\) 14.7859 + 10.0809i 0.569533 + 0.388301i
\(675\) 17.3085 + 3.42197i 0.666206 + 0.131712i
\(676\) −4.73567 + 0.713788i −0.182141 + 0.0274534i
\(677\) −0.873825 3.82848i −0.0335838 0.147140i 0.955356 0.295457i \(-0.0954718\pi\)
−0.988940 + 0.148316i \(0.952615\pi\)
\(678\) −4.98397 + 4.48545i −0.191408 + 0.172263i
\(679\) 3.62447 33.1854i 0.139094 1.27354i
\(680\) 8.44049 21.5060i 0.323678 0.824718i
\(681\) 3.19080 2.87165i 0.122272 0.110042i
\(682\) 0.714408 + 9.53311i 0.0273561 + 0.365042i
\(683\) 7.48845 + 19.0803i 0.286538 + 0.730086i 0.999580 + 0.0289656i \(0.00922132\pi\)
−0.713043 + 0.701121i \(0.752683\pi\)
\(684\) 2.27618 + 4.23464i 0.0870320 + 0.161915i
\(685\) 11.8511 0.452806
\(686\) 19.8183 + 12.1715i 0.756665 + 0.464709i
\(687\) −2.82036 7.52020i −0.107603 0.286914i
\(688\) −6.95122 6.44979i −0.265013 0.245896i
\(689\) −2.03294 + 2.54923i −0.0774490 + 0.0971179i
\(690\) 19.7049 + 13.8778i 0.750153 + 0.528320i
\(691\) −21.7328 + 27.2521i −0.826755 + 1.03672i 0.171913 + 0.985112i \(0.445005\pi\)
−0.998668 + 0.0516057i \(0.983566\pi\)
\(692\) −6.53102 8.18965i −0.248272 0.311324i
\(693\) −16.7671 + 35.7658i −0.636928 + 1.35863i
\(694\) 18.3225 22.9757i 0.695512 0.872144i
\(695\) 3.07882 + 13.4892i 0.116786 + 0.511674i
\(696\) −24.0875 + 40.2941i −0.913034 + 1.52734i
\(697\) 6.88479 30.1642i 0.260780 1.14255i
\(698\) −0.305980 + 4.08302i −0.0115815 + 0.154544i
\(699\) −1.62398 + 3.95981i −0.0614244 + 0.149774i
\(700\) 2.87194 2.48861i 0.108549 0.0940606i
\(701\) 7.31820 + 32.0631i 0.276405 + 1.21101i 0.902303 + 0.431103i \(0.141875\pi\)
−0.625898 + 0.779905i \(0.715267\pi\)
\(702\) 6.45237 5.46141i 0.243529 0.206128i
\(703\) 1.37219 18.3106i 0.0517533 0.690599i
\(704\) −22.1476 38.3608i −0.834719 1.44578i
\(705\) 3.01197 + 8.03112i 0.113437 + 0.302470i
\(706\) −24.1995 16.4990i −0.910761 0.620947i
\(707\) −22.8332 + 6.20171i −0.858731 + 0.233239i
\(708\) −7.54518 + 3.49334i −0.283565 + 0.131288i
\(709\) 6.35987 + 3.06275i 0.238850 + 0.115024i 0.549480 0.835507i \(-0.314826\pi\)
−0.310630 + 0.950531i \(0.600540\pi\)
\(710\) 13.2699 + 4.09322i 0.498011 + 0.153616i
\(711\) 43.6845 19.4249i 1.63830 0.728491i
\(712\) −1.18360 15.7940i −0.0443571 0.591904i
\(713\) 11.0561 7.53791i 0.414054 0.282297i
\(714\) 11.0085 + 32.6912i 0.411983 + 1.22344i
\(715\) −6.74757 4.60041i −0.252345 0.172046i
\(716\) −0.191776 + 0.332165i −0.00716699 + 0.0124136i
\(717\) 9.61375 + 1.59880i 0.359032 + 0.0597083i
\(718\) 26.9414 + 18.3683i 1.00544 + 0.685501i
\(719\) 7.70745 19.6383i 0.287439 0.732384i −0.712101 0.702077i \(-0.752256\pi\)
0.999541 0.0303069i \(-0.00964845\pi\)
\(720\) −1.18703 + 11.2429i −0.0442382 + 0.418997i
\(721\) −26.4769 26.2969i −0.986053 0.979347i
\(722\) 4.27850 + 3.96986i 0.159229 + 0.147743i
\(723\) −19.1641 + 5.59389i −0.712721 + 0.208039i
\(724\) −2.46589 + 10.8038i −0.0916441 + 0.401519i
\(725\) 18.8578 + 23.6470i 0.700363 + 0.878227i
\(726\) 24.9948 16.4905i 0.927645 0.612019i
\(727\) −2.36210 6.01853i −0.0876054 0.223215i 0.880356 0.474313i \(-0.157304\pi\)
−0.967962 + 0.251098i \(0.919208\pi\)
\(728\) −0.425521 10.4206i −0.0157708 0.386212i
\(729\) −8.37978 + 25.6667i −0.310362 + 0.950618i
\(730\) 2.96889 + 0.447488i 0.109883 + 0.0165623i
\(731\) 1.42777 + 19.0523i 0.0528080 + 0.704674i
\(732\) 0.601321 + 2.83228i 0.0222255 + 0.104684i
\(733\) −16.8403 15.6255i −0.622009 0.577140i 0.304920 0.952378i \(-0.401370\pi\)
−0.926928 + 0.375238i \(0.877561\pi\)
\(734\) 8.85499 + 15.3373i 0.326844 + 0.566110i
\(735\) 2.41601 15.1665i 0.0891157 0.559426i
\(736\) −10.2766 + 17.7996i −0.378800 + 0.656100i
\(737\) −26.1826 + 8.07625i −0.964447 + 0.297492i
\(738\) 0.863269 + 19.4266i 0.0317774 + 0.715102i
\(739\) 23.6372 16.1156i 0.869508 0.592820i −0.0442770 0.999019i \(-0.514098\pi\)
0.913785 + 0.406199i \(0.133146\pi\)
\(740\) −1.61922 + 2.03044i −0.0595238 + 0.0746404i
\(741\) 4.36174 7.29641i 0.160232 0.268040i
\(742\) 5.93316 + 5.89281i 0.217813 + 0.216332i
\(743\) −20.4226 3.07821i −0.749233 0.112929i −0.236684 0.971587i \(-0.576061\pi\)
−0.512549 + 0.858658i \(0.671299\pi\)
\(744\) 7.20938 + 3.60782i 0.264309 + 0.132269i
\(745\) 7.65853 19.5136i 0.280587 0.714924i
\(746\) −4.17285 3.87184i −0.152779 0.141758i
\(747\) −10.5578 + 1.26458i −0.386291 + 0.0462684i
\(748\) −2.80794 + 12.3024i −0.102668 + 0.449820i
\(749\) 12.0279 27.8269i 0.439490 1.01677i
\(750\) 20.6853 + 10.3516i 0.755319 + 0.377987i
\(751\) 11.1639 1.68269i 0.407377 0.0614022i 0.0578425 0.998326i \(-0.481578\pi\)
0.349534 + 0.936924i \(0.386340\pi\)
\(752\) 10.4792 5.04651i 0.382137 0.184027i
\(753\) −11.8619 + 14.4193i −0.432270 + 0.525467i
\(754\) 14.4913 0.527743
\(755\) −10.1486 + 4.88733i −0.369347 + 0.177868i
\(756\) 3.25295 + 4.82049i 0.118309 + 0.175320i
\(757\) −2.40026 1.15590i −0.0872388 0.0420120i 0.389756 0.920918i \(-0.372560\pi\)
−0.476994 + 0.878906i \(0.658274\pi\)
\(758\) 1.78805 + 0.861079i 0.0649449 + 0.0312758i
\(759\) −67.4319 33.7452i −2.44762 1.22487i
\(760\) 3.24915 + 14.2354i 0.117859 + 0.516374i
\(761\) 31.0416 21.1638i 1.12526 0.767189i 0.150095 0.988672i \(-0.452042\pi\)
0.975164 + 0.221483i \(0.0710898\pi\)
\(762\) −9.29609 + 4.30399i −0.336762 + 0.155917i
\(763\) −1.19008 0.411876i −0.0430839 0.0149109i
\(764\) −5.85758 + 2.82086i −0.211920 + 0.102055i
\(765\) 17.1607 14.9786i 0.620448 0.541553i
\(766\) −1.96059 + 3.39585i −0.0708391 + 0.122697i
\(767\) 12.1472 + 8.28180i 0.438609 + 0.299038i
\(768\) −16.7401 0.254399i −0.604057 0.00917982i
\(769\) −15.9921 + 14.8385i −0.576690 + 0.535090i −0.913689 0.406415i \(-0.866779\pi\)
0.336999 + 0.941505i \(0.390588\pi\)
\(770\) −13.6076 + 15.9219i −0.490384 + 0.573785i