Properties

Label 144.2.x.e.85.12
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.12
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.297230 + 1.38263i) q^{2} +(1.31071 + 1.13227i) q^{3} +(-1.82331 + 0.821916i) q^{4} +(-0.0112878 + 0.00302457i) q^{5} +(-1.17592 + 2.14877i) q^{6} +(1.05753 - 0.610563i) q^{7} +(-1.67835 - 2.27665i) q^{8} +(0.435936 + 2.96816i) q^{9} +O(q^{10})\) \(q+(0.297230 + 1.38263i) q^{2} +(1.31071 + 1.13227i) q^{3} +(-1.82331 + 0.821916i) q^{4} +(-0.0112878 + 0.00302457i) q^{5} +(-1.17592 + 2.14877i) q^{6} +(1.05753 - 0.610563i) q^{7} +(-1.67835 - 2.27665i) q^{8} +(0.435936 + 2.96816i) q^{9} +(-0.00753693 - 0.0147079i) q^{10} +(-0.490535 + 1.83070i) q^{11} +(-3.32046 - 0.987179i) q^{12} +(-1.35786 - 5.06759i) q^{13} +(1.15851 + 1.28069i) q^{14} +(-0.0182197 - 0.00881653i) q^{15} +(2.64891 - 2.99721i) q^{16} -1.54238 q^{17} +(-3.97428 + 1.48496i) q^{18} +(4.06823 - 4.06823i) q^{19} +(0.0180953 - 0.0147924i) q^{20} +(2.07744 + 0.397131i) q^{21} +(-2.67698 - 0.134086i) q^{22} +(5.20660 + 3.00603i) q^{23} +(0.377956 - 4.88438i) q^{24} +(-4.33001 + 2.49993i) q^{25} +(6.60298 - 3.38365i) q^{26} +(-2.78937 + 4.38400i) q^{27} +(-1.42637 + 1.98244i) q^{28} +(-2.98082 - 0.798708i) q^{29} +(0.00677450 - 0.0278116i) q^{30} +(2.92831 - 5.07198i) q^{31} +(4.93136 + 2.77158i) q^{32} +(-2.71580 + 1.84411i) q^{33} +(-0.458442 - 2.13254i) q^{34} +(-0.0100905 + 0.0100905i) q^{35} +(-3.23442 - 5.05356i) q^{36} +(0.923082 + 0.923082i) q^{37} +(6.83404 + 4.41564i) q^{38} +(3.95811 - 8.17961i) q^{39} +(0.0258308 + 0.0206222i) q^{40} +(3.20829 + 1.85231i) q^{41} +(0.0683928 + 2.99036i) q^{42} +(1.29691 - 4.84015i) q^{43} +(-0.610287 - 3.74111i) q^{44} +(-0.0138982 - 0.0321856i) q^{45} +(-2.60866 + 8.09227i) q^{46} +(-1.31218 - 2.27277i) q^{47} +(6.86561 - 0.929213i) q^{48} +(-2.75442 + 4.77080i) q^{49} +(-4.74348 - 5.24373i) q^{50} +(-2.02162 - 1.74639i) q^{51} +(6.64092 + 8.12373i) q^{52} +(-8.88508 - 8.88508i) q^{53} +(-6.89051 - 2.55359i) q^{54} -0.0221483i q^{55} +(-3.16494 - 1.38289i) q^{56} +(9.93862 - 0.725952i) q^{57} +(0.218325 - 4.35876i) q^{58} +(-8.78724 + 2.35453i) q^{59} +(0.0404666 + 0.00110015i) q^{60} +(-12.1194 - 3.24737i) q^{61} +(7.88303 + 2.54121i) q^{62} +(2.27326 + 2.87274i) q^{63} +(-2.36631 + 7.64203i) q^{64} +(0.0306545 + 0.0530952i) q^{65} +(-3.35693 - 3.20681i) q^{66} +(3.18324 + 11.8800i) q^{67} +(2.81224 - 1.26771i) q^{68} +(3.42072 + 9.83532i) q^{69} +(-0.0169506 - 0.0109522i) q^{70} +14.2363i q^{71} +(6.02582 - 5.97407i) q^{72} -4.32091i q^{73} +(-1.00191 + 1.55065i) q^{74} +(-8.50599 - 1.62604i) q^{75} +(-4.07389 + 10.7614i) q^{76} +(0.599006 + 2.23552i) q^{77} +(12.4858 + 3.04136i) q^{78} +(-0.261880 - 0.453589i) q^{79} +(-0.0208352 + 0.0418439i) q^{80} +(-8.61992 + 2.58785i) q^{81} +(-1.60745 + 4.98643i) q^{82} +(-10.8824 - 2.91592i) q^{83} +(-4.11421 + 0.983386i) q^{84} +(0.0174101 - 0.00466503i) q^{85} +(7.07759 + 0.354508i) q^{86} +(-3.00264 - 4.42196i) q^{87} +(4.99116 - 1.95577i) q^{88} -10.7103i q^{89} +(0.0403696 - 0.0287825i) q^{90} +(-4.53005 - 4.53005i) q^{91} +(-11.9640 - 1.20153i) q^{92} +(9.58101 - 3.33227i) q^{93} +(2.75237 - 2.48980i) q^{94} +(-0.0336169 + 0.0582262i) q^{95} +(3.32542 + 9.21638i) q^{96} +(8.78820 + 15.2216i) q^{97} +(-7.41493 - 2.39031i) q^{98} +(-5.64765 - 0.657918i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.297230 + 1.38263i 0.210174 + 0.977664i
\(3\) 1.31071 + 1.13227i 0.756740 + 0.653716i
\(4\) −1.82331 + 0.821916i −0.911654 + 0.410958i
\(5\) −0.0112878 + 0.00302457i −0.00504807 + 0.00135263i −0.261342 0.965246i \(-0.584165\pi\)
0.256294 + 0.966599i \(0.417498\pi\)
\(6\) −1.17592 + 2.14877i −0.480067 + 0.877232i
\(7\) 1.05753 0.610563i 0.399708 0.230771i −0.286650 0.958035i \(-0.592542\pi\)
0.686358 + 0.727264i \(0.259208\pi\)
\(8\) −1.67835 2.27665i −0.593385 0.804919i
\(9\) 0.435936 + 2.96816i 0.145312 + 0.989386i
\(10\) −0.00753693 0.0147079i −0.00238339 0.00465104i
\(11\) −0.490535 + 1.83070i −0.147902 + 0.551977i 0.851707 + 0.524018i \(0.175568\pi\)
−0.999609 + 0.0279594i \(0.991099\pi\)
\(12\) −3.32046 0.987179i −0.958535 0.284974i
\(13\) −1.35786 5.06759i −0.376602 1.40550i −0.850991 0.525181i \(-0.823998\pi\)
0.474389 0.880315i \(-0.342669\pi\)
\(14\) 1.15851 + 1.28069i 0.309625 + 0.342278i
\(15\) −0.0182197 0.00881653i −0.00470432 0.00227642i
\(16\) 2.64891 2.99721i 0.662227 0.749304i
\(17\) −1.54238 −0.374082 −0.187041 0.982352i \(-0.559890\pi\)
−0.187041 + 0.982352i \(0.559890\pi\)
\(18\) −3.97428 + 1.48496i −0.936746 + 0.350009i
\(19\) 4.06823 4.06823i 0.933317 0.933317i −0.0645950 0.997912i \(-0.520576\pi\)
0.997912 + 0.0645950i \(0.0205756\pi\)
\(20\) 0.0180953 0.0147924i 0.00404623 0.00330768i
\(21\) 2.07744 + 0.397131i 0.453334 + 0.0866611i
\(22\) −2.67698 0.134086i −0.570734 0.0285873i
\(23\) 5.20660 + 3.00603i 1.08565 + 0.626801i 0.932415 0.361388i \(-0.117697\pi\)
0.153236 + 0.988190i \(0.451030\pi\)
\(24\) 0.377956 4.88438i 0.0771500 0.997019i
\(25\) −4.33001 + 2.49993i −0.866002 + 0.499986i
\(26\) 6.60298 3.38365i 1.29495 0.663588i
\(27\) −2.78937 + 4.38400i −0.536814 + 0.843701i
\(28\) −1.42637 + 1.98244i −0.269558 + 0.374647i
\(29\) −2.98082 0.798708i −0.553524 0.148316i −0.0287946 0.999585i \(-0.509167\pi\)
−0.524730 + 0.851269i \(0.675834\pi\)
\(30\) 0.00677450 0.0278116i 0.00123685 0.00507768i
\(31\) 2.92831 5.07198i 0.525939 0.910954i −0.473604 0.880738i \(-0.657047\pi\)
0.999543 0.0302159i \(-0.00961949\pi\)
\(32\) 4.93136 + 2.77158i 0.871750 + 0.489951i
\(33\) −2.71580 + 1.84411i −0.472760 + 0.321018i
\(34\) −0.458442 2.13254i −0.0786222 0.365727i
\(35\) −0.0100905 + 0.0100905i −0.00170561 + 0.00170561i
\(36\) −3.23442 5.05356i −0.539070 0.842261i
\(37\) 0.923082 + 0.923082i 0.151754 + 0.151754i 0.778901 0.627147i \(-0.215777\pi\)
−0.627147 + 0.778901i \(0.715777\pi\)
\(38\) 6.83404 + 4.41564i 1.10863 + 0.716312i
\(39\) 3.95811 8.17961i 0.633805 1.30979i
\(40\) 0.0258308 + 0.0206222i 0.00408421 + 0.00326066i
\(41\) 3.20829 + 1.85231i 0.501051 + 0.289282i 0.729147 0.684357i \(-0.239917\pi\)
−0.228096 + 0.973639i \(0.573250\pi\)
\(42\) 0.0683928 + 2.99036i 0.0105532 + 0.461422i
\(43\) 1.29691 4.84015i 0.197777 0.738115i −0.793753 0.608240i \(-0.791876\pi\)
0.991530 0.129875i \(-0.0414576\pi\)
\(44\) −0.610287 3.74111i −0.0920043 0.563994i
\(45\) −0.0138982 0.0321856i −0.00207182 0.00479794i
\(46\) −2.60866 + 8.09227i −0.384626 + 1.19314i
\(47\) −1.31218 2.27277i −0.191402 0.331517i 0.754313 0.656515i \(-0.227970\pi\)
−0.945715 + 0.324997i \(0.894637\pi\)
\(48\) 6.86561 0.929213i 0.990965 0.134120i
\(49\) −2.75442 + 4.77080i −0.393489 + 0.681543i
\(50\) −4.74348 5.24373i −0.670829 0.741575i
\(51\) −2.02162 1.74639i −0.283083 0.244543i
\(52\) 6.64092 + 8.12373i 0.920931 + 1.12656i
\(53\) −8.88508 8.88508i −1.22046 1.22046i −0.967469 0.252991i \(-0.918586\pi\)
−0.252991 0.967469i \(-0.581414\pi\)
\(54\) −6.89051 2.55359i −0.937680 0.347500i
\(55\) 0.0221483i 0.00298648i
\(56\) −3.16494 1.38289i −0.422932 0.184796i
\(57\) 9.93862 0.725952i 1.31640 0.0961547i
\(58\) 0.218325 4.35876i 0.0286674 0.572333i
\(59\) −8.78724 + 2.35453i −1.14400 + 0.306534i −0.780559 0.625082i \(-0.785065\pi\)
−0.363443 + 0.931617i \(0.618399\pi\)
\(60\) 0.0404666 + 0.00110015i 0.00522422 + 0.000142028i
\(61\) −12.1194 3.24737i −1.55172 0.415783i −0.621692 0.783262i \(-0.713555\pi\)
−0.930032 + 0.367478i \(0.880221\pi\)
\(62\) 7.88303 + 2.54121i 1.00115 + 0.322734i
\(63\) 2.27326 + 2.87274i 0.286404 + 0.361931i
\(64\) −2.36631 + 7.64203i −0.295789 + 0.955253i
\(65\) 0.0306545 + 0.0530952i 0.00380223 + 0.00658565i
\(66\) −3.35693 3.20681i −0.413209 0.394731i
\(67\) 3.18324 + 11.8800i 0.388895 + 1.45137i 0.831935 + 0.554873i \(0.187233\pi\)
−0.443041 + 0.896501i \(0.646100\pi\)
\(68\) 2.81224 1.26771i 0.341034 0.153732i
\(69\) 3.42072 + 9.83532i 0.411807 + 1.18403i
\(70\) −0.0169506 0.0109522i −0.00202598 0.00130904i
\(71\) 14.2363i 1.68954i 0.535129 + 0.844771i \(0.320263\pi\)
−0.535129 + 0.844771i \(0.679737\pi\)
\(72\) 6.02582 5.97407i 0.710150 0.704051i
\(73\) 4.32091i 0.505724i −0.967502 0.252862i \(-0.918628\pi\)
0.967502 0.252862i \(-0.0813718\pi\)
\(74\) −1.00191 + 1.55065i −0.116470 + 0.180259i
\(75\) −8.50599 1.62604i −0.982187 0.187759i
\(76\) −4.07389 + 10.7614i −0.467308 + 1.23442i
\(77\) 0.599006 + 2.23552i 0.0682630 + 0.254761i
\(78\) 12.4858 + 3.04136i 1.41374 + 0.344366i
\(79\) −0.261880 0.453589i −0.0294638 0.0510328i 0.850918 0.525299i \(-0.176047\pi\)
−0.880381 + 0.474267i \(0.842713\pi\)
\(80\) −0.0208352 + 0.0418439i −0.00232944 + 0.00467829i
\(81\) −8.61992 + 2.58785i −0.957769 + 0.287539i
\(82\) −1.60745 + 4.98643i −0.177513 + 0.550659i
\(83\) −10.8824 2.91592i −1.19450 0.320064i −0.393834 0.919181i \(-0.628852\pi\)
−0.800661 + 0.599117i \(0.795518\pi\)
\(84\) −4.11421 + 0.983386i −0.448898 + 0.107296i
\(85\) 0.0174101 0.00466503i 0.00188839 0.000505994i
\(86\) 7.07759 + 0.354508i 0.763196 + 0.0382276i
\(87\) −3.00264 4.42196i −0.321917 0.474084i
\(88\) 4.99116 1.95577i 0.532060 0.208486i
\(89\) 10.7103i 1.13529i −0.823274 0.567644i \(-0.807855\pi\)
0.823274 0.567644i \(-0.192145\pi\)
\(90\) 0.0403696 0.0287825i 0.00425533 0.00303394i
\(91\) −4.53005 4.53005i −0.474879 0.474879i
\(92\) −11.9640 1.20153i −1.24733 0.125269i
\(93\) 9.58101 3.33227i 0.993504 0.345541i
\(94\) 2.75237 2.48980i 0.283885 0.256803i
\(95\) −0.0336169 + 0.0582262i −0.00344902 + 0.00597388i
\(96\) 3.32542 + 9.21638i 0.339399 + 0.940642i
\(97\) 8.78820 + 15.2216i 0.892306 + 1.54552i 0.837104 + 0.547044i \(0.184247\pi\)
0.0552025 + 0.998475i \(0.482420\pi\)
\(98\) −7.41493 2.39031i −0.749022 0.241458i
\(99\) −5.64765 0.657918i −0.567611 0.0661232i
\(100\) 5.84021 8.11705i 0.584021 0.811705i
\(101\) −1.80361 + 6.73117i −0.179466 + 0.669776i 0.816282 + 0.577654i \(0.196032\pi\)
−0.995748 + 0.0921222i \(0.970635\pi\)
\(102\) 1.81372 3.31422i 0.179585 0.328157i
\(103\) 2.20609 + 1.27369i 0.217373 + 0.125500i 0.604733 0.796428i \(-0.293280\pi\)
−0.387360 + 0.921928i \(0.626613\pi\)
\(104\) −9.25820 + 11.5965i −0.907841 + 1.13713i
\(105\) −0.0246509 + 0.00180059i −0.00240568 + 0.000175720i
\(106\) 9.64383 14.9257i 0.936691 1.44971i
\(107\) 3.52175 + 3.52175i 0.340460 + 0.340460i 0.856540 0.516080i \(-0.172609\pi\)
−0.516080 + 0.856540i \(0.672609\pi\)
\(108\) 1.48259 10.2860i 0.142663 0.989771i
\(109\) 3.14334 3.14334i 0.301077 0.301077i −0.540358 0.841435i \(-0.681711\pi\)
0.841435 + 0.540358i \(0.181711\pi\)
\(110\) 0.0306228 0.00658315i 0.00291977 0.000627679i
\(111\) 0.164719 + 2.25507i 0.0156344 + 0.214042i
\(112\) 0.971300 4.78696i 0.0917793 0.452325i
\(113\) 7.90904 13.6989i 0.744020 1.28868i −0.206631 0.978419i \(-0.566250\pi\)
0.950651 0.310262i \(-0.100417\pi\)
\(114\) 3.95778 + 13.5256i 0.370680 + 1.26679i
\(115\) −0.0678632 0.0181839i −0.00632828 0.00169566i
\(116\) 6.09142 0.993693i 0.565574 0.0922621i
\(117\) 14.4495 6.23947i 1.33585 0.576839i
\(118\) −5.86727 11.4496i −0.540126 1.05402i
\(119\) −1.63111 + 0.941721i −0.149523 + 0.0863274i
\(120\) 0.0105068 + 0.0562772i 0.000959137 + 0.00513738i
\(121\) 6.41543 + 3.70395i 0.583221 + 0.336723i
\(122\) 0.887661 17.7218i 0.0803650 1.60445i
\(123\) 2.10784 + 6.06049i 0.190057 + 0.546456i
\(124\) −1.17047 + 11.6546i −0.105111 + 1.04661i
\(125\) 0.0826316 0.0826316i 0.00739079 0.00739079i
\(126\) −3.29624 + 3.99694i −0.293653 + 0.356075i
\(127\) −5.72603 −0.508103 −0.254052 0.967191i \(-0.581763\pi\)
−0.254052 + 0.967191i \(0.581763\pi\)
\(128\) −11.2694 1.00029i −0.996084 0.0884136i
\(129\) 7.18023 4.87559i 0.632184 0.429271i
\(130\) −0.0642993 + 0.0581652i −0.00563942 + 0.00510143i
\(131\) −1.75835 6.56224i −0.153628 0.573346i −0.999219 0.0395151i \(-0.987419\pi\)
0.845591 0.533831i \(-0.179248\pi\)
\(132\) 3.43603 5.59453i 0.299068 0.486942i
\(133\) 1.81835 6.78618i 0.157671 0.588436i
\(134\) −15.4795 + 7.93233i −1.33722 + 0.685249i
\(135\) 0.0182262 0.0579225i 0.00156866 0.00498517i
\(136\) 2.58865 + 3.51147i 0.221975 + 0.301106i
\(137\) 3.64923 2.10688i 0.311775 0.180003i −0.335946 0.941881i \(-0.609056\pi\)
0.647720 + 0.761878i \(0.275722\pi\)
\(138\) −12.5818 + 7.65294i −1.07104 + 0.651461i
\(139\) 15.6519 4.19392i 1.32758 0.355724i 0.475767 0.879571i \(-0.342170\pi\)
0.851812 + 0.523847i \(0.175504\pi\)
\(140\) 0.0101045 0.0266916i 0.000853990 0.00225586i
\(141\) 0.853489 4.46469i 0.0718768 0.375995i
\(142\) −19.6835 + 4.23147i −1.65180 + 0.355097i
\(143\) 9.94332 0.831502
\(144\) 10.0510 + 6.55578i 0.837580 + 0.546315i
\(145\) 0.0360627 0.00299485
\(146\) 5.97420 1.28430i 0.494428 0.106290i
\(147\) −9.01209 + 3.13440i −0.743305 + 0.258521i
\(148\) −2.44176 0.924367i −0.200711 0.0759825i
\(149\) −3.76477 + 1.00877i −0.308422 + 0.0826415i −0.409710 0.912216i \(-0.634370\pi\)
0.101288 + 0.994857i \(0.467704\pi\)
\(150\) −0.280032 12.2439i −0.0228645 0.999711i
\(151\) −13.0073 + 7.50979i −1.05852 + 0.611138i −0.925023 0.379911i \(-0.875955\pi\)
−0.133499 + 0.991049i \(0.542621\pi\)
\(152\) −16.0899 2.43406i −1.30506 0.197428i
\(153\) −0.672378 4.57803i −0.0543586 0.370112i
\(154\) −2.91284 + 1.49266i −0.234724 + 0.120282i
\(155\) −0.0177137 + 0.0661085i −0.00142280 + 0.00530996i
\(156\) −0.493902 + 18.1672i −0.0395438 + 1.45454i
\(157\) 2.53825 + 9.47288i 0.202574 + 0.756018i 0.990175 + 0.139832i \(0.0446564\pi\)
−0.787601 + 0.616186i \(0.788677\pi\)
\(158\) 0.549305 0.496902i 0.0437004 0.0395314i
\(159\) −1.58549 21.7061i −0.125738 1.72140i
\(160\) −0.0640473 0.0163700i −0.00506338 0.00129416i
\(161\) 7.34150 0.578591
\(162\) −6.14013 11.1489i −0.482414 0.875943i
\(163\) 5.22606 5.22606i 0.409336 0.409336i −0.472171 0.881507i \(-0.656529\pi\)
0.881507 + 0.472171i \(0.156529\pi\)
\(164\) −7.37215 0.740381i −0.575668 0.0578140i
\(165\) 0.0250779 0.0290301i 0.00195231 0.00225999i
\(166\) 0.797060 15.9129i 0.0618638 1.23508i
\(167\) 6.31476 + 3.64583i 0.488651 + 0.282123i 0.724015 0.689785i \(-0.242295\pi\)
−0.235364 + 0.971907i \(0.575628\pi\)
\(168\) −2.58252 5.39613i −0.199246 0.416320i
\(169\) −12.5783 + 7.26211i −0.967565 + 0.558624i
\(170\) 0.0116248 + 0.0226851i 0.000891583 + 0.00173987i
\(171\) 13.8486 + 10.3017i 1.05903 + 0.787788i
\(172\) 1.61352 + 9.89103i 0.123030 + 0.754184i
\(173\) 22.9394 + 6.14659i 1.74405 + 0.467317i 0.983340 0.181775i \(-0.0581842\pi\)
0.760710 + 0.649092i \(0.224851\pi\)
\(174\) 5.22144 5.46588i 0.395837 0.414367i
\(175\) −3.05273 + 5.28749i −0.230765 + 0.399697i
\(176\) 4.18762 + 6.31960i 0.315654 + 0.476358i
\(177\) −14.1835 6.86340i −1.06610 0.515885i
\(178\) 14.8083 3.18342i 1.10993 0.238608i
\(179\) 11.4489 11.4489i 0.855732 0.855732i −0.135100 0.990832i \(-0.543136\pi\)
0.990832 + 0.135100i \(0.0431356\pi\)
\(180\) 0.0517945 + 0.0472611i 0.00386053 + 0.00352263i
\(181\) −3.01327 3.01327i −0.223974 0.223974i 0.586195 0.810170i \(-0.300625\pi\)
−0.810170 + 0.586195i \(0.800625\pi\)
\(182\) 4.91690 7.60984i 0.364465 0.564079i
\(183\) −12.2081 17.9787i −0.902448 1.32903i
\(184\) −1.89478 16.8988i −0.139685 1.24580i
\(185\) −0.0132115 0.00762768i −0.000971331 0.000560798i
\(186\) 7.45505 + 12.2565i 0.546631 + 0.898690i
\(187\) 0.756592 2.82364i 0.0553275 0.206485i
\(188\) 4.26054 + 3.06545i 0.310732 + 0.223571i
\(189\) −0.273120 + 6.33928i −0.0198666 + 0.461115i
\(190\) −0.0904970 0.0291730i −0.00656534 0.00211643i
\(191\) −2.25702 3.90928i −0.163313 0.282866i 0.772742 0.634720i \(-0.218885\pi\)
−0.936055 + 0.351854i \(0.885551\pi\)
\(192\) −11.7544 + 7.33720i −0.848300 + 0.529517i
\(193\) −1.75793 + 3.04482i −0.126539 + 0.219171i −0.922333 0.386395i \(-0.873720\pi\)
0.795795 + 0.605566i \(0.207053\pi\)
\(194\) −18.4337 + 16.6751i −1.32346 + 1.19720i
\(195\) −0.0199387 + 0.104302i −0.00142784 + 0.00746920i
\(196\) 1.10096 10.9626i 0.0786403 0.783040i
\(197\) −4.81922 4.81922i −0.343355 0.343355i 0.514272 0.857627i \(-0.328062\pi\)
−0.857627 + 0.514272i \(0.828062\pi\)
\(198\) −0.769000 8.00415i −0.0546504 0.568830i
\(199\) 4.66322i 0.330567i 0.986246 + 0.165284i \(0.0528539\pi\)
−0.986246 + 0.165284i \(0.947146\pi\)
\(200\) 12.9587 + 5.66219i 0.916321 + 0.400377i
\(201\) −9.27905 + 19.1756i −0.654494 + 1.35254i
\(202\) −9.84277 0.493012i −0.692535 0.0346882i
\(203\) −3.63996 + 0.975324i −0.255475 + 0.0684543i
\(204\) 5.12142 + 1.52260i 0.358571 + 0.106604i
\(205\) −0.0418171 0.0112049i −0.00292063 0.000782581i
\(206\) −1.10532 + 3.42878i −0.0770110 + 0.238894i
\(207\) −6.65264 + 16.7645i −0.462390 + 1.16521i
\(208\) −18.7855 9.35378i −1.30254 0.648568i
\(209\) 5.45211 + 9.44333i 0.377130 + 0.653209i
\(210\) −0.00981654 0.0335478i −0.000677405 0.00231502i
\(211\) 4.67442 + 17.4452i 0.321800 + 1.20097i 0.917490 + 0.397760i \(0.130212\pi\)
−0.595689 + 0.803215i \(0.703121\pi\)
\(212\) 23.5030 + 8.89745i 1.61420 + 0.611079i
\(213\) −16.1193 + 18.6597i −1.10448 + 1.27854i
\(214\) −3.82249 + 5.91603i −0.261300 + 0.404411i
\(215\) 0.0585574i 0.00399358i
\(216\) 14.6624 1.00744i 0.997648 0.0685476i
\(217\) 7.15167i 0.485487i
\(218\) 5.28036 + 3.41177i 0.357631 + 0.231074i
\(219\) 4.89243 5.66347i 0.330599 0.382702i
\(220\) 0.0182041 + 0.0403832i 0.00122732 + 0.00272264i
\(221\) 2.09433 + 7.81615i 0.140880 + 0.525771i
\(222\) −3.06896 + 0.898020i −0.205975 + 0.0602712i
\(223\) 2.85769 + 4.94966i 0.191365 + 0.331454i 0.945703 0.325032i \(-0.105375\pi\)
−0.754338 + 0.656486i \(0.772042\pi\)
\(224\) 6.90727 0.0798841i 0.461512 0.00533748i
\(225\) −9.30780 11.7623i −0.620520 0.784156i
\(226\) 21.2912 + 6.86353i 1.41627 + 0.456555i
\(227\) 19.6766 + 5.27233i 1.30598 + 0.349937i 0.843709 0.536802i \(-0.180368\pi\)
0.462272 + 0.886738i \(0.347034\pi\)
\(228\) −17.5245 + 9.49235i −1.16059 + 0.628646i
\(229\) 3.70525 0.992819i 0.244850 0.0656073i −0.134307 0.990940i \(-0.542881\pi\)
0.379157 + 0.925332i \(0.376214\pi\)
\(230\) 0.00497052 0.0992343i 0.000327747 0.00654332i
\(231\) −1.74608 + 3.60836i −0.114884 + 0.237413i
\(232\) 3.18446 + 8.12680i 0.209070 + 0.533551i
\(233\) 5.33043i 0.349208i 0.984639 + 0.174604i \(0.0558645\pi\)
−0.984639 + 0.174604i \(0.944136\pi\)
\(234\) 12.9217 + 18.1236i 0.844716 + 1.18478i
\(235\) 0.0216859 + 0.0216859i 0.00141463 + 0.00141463i
\(236\) 14.0866 11.5154i 0.916961 0.749590i
\(237\) 0.170336 0.891043i 0.0110645 0.0578795i
\(238\) −1.78686 1.97530i −0.115825 0.128040i
\(239\) −13.8380 + 23.9681i −0.895104 + 1.55037i −0.0614282 + 0.998112i \(0.519566\pi\)
−0.833676 + 0.552254i \(0.813768\pi\)
\(240\) −0.0746874 + 0.0312543i −0.00482105 + 0.00201746i
\(241\) 0.847203 + 1.46740i 0.0545731 + 0.0945234i 0.892021 0.451993i \(-0.149287\pi\)
−0.837448 + 0.546517i \(0.815954\pi\)
\(242\) −3.21432 + 9.97107i −0.206624 + 0.640965i
\(243\) −14.2284 6.36814i −0.912751 0.408516i
\(244\) 24.7664 4.04014i 1.58551 0.258643i
\(245\) 0.0166619 0.0621830i 0.00106449 0.00397273i
\(246\) −7.75288 + 4.71571i −0.494305 + 0.300663i
\(247\) −26.1402 15.0921i −1.66326 0.960284i
\(248\) −16.4618 + 1.84578i −1.04533 + 0.117207i
\(249\) −10.9621 16.1437i −0.694692 1.02307i
\(250\) 0.138809 + 0.0896880i 0.00877906 + 0.00567236i
\(251\) 0.987980 + 0.987980i 0.0623607 + 0.0623607i 0.737599 0.675239i \(-0.235959\pi\)
−0.675239 + 0.737599i \(0.735959\pi\)
\(252\) −6.50601 3.36946i −0.409840 0.212256i
\(253\) −8.05717 + 8.05717i −0.506550 + 0.506550i
\(254\) −1.70195 7.91696i −0.106790 0.496754i
\(255\) 0.0281018 + 0.0135984i 0.00175980 + 0.000851567i
\(256\) −1.96659 15.8787i −0.122912 0.992418i
\(257\) 11.8214 20.4753i 0.737401 1.27722i −0.216260 0.976336i \(-0.569386\pi\)
0.953662 0.300881i \(-0.0972806\pi\)
\(258\) 8.87529 + 8.47839i 0.552552 + 0.527842i
\(259\) 1.53978 + 0.412584i 0.0956776 + 0.0256367i
\(260\) −0.0995325 0.0716134i −0.00617274 0.00444128i
\(261\) 1.07125 9.19572i 0.0663085 0.569201i
\(262\) 8.55049 4.38163i 0.528251 0.270698i
\(263\) 22.2619 12.8529i 1.37273 0.792545i 0.381458 0.924386i \(-0.375422\pi\)
0.991271 + 0.131841i \(0.0420888\pi\)
\(264\) 8.75644 + 3.08788i 0.538922 + 0.190046i
\(265\) 0.127167 + 0.0734198i 0.00781180 + 0.00451015i
\(266\) 9.92321 + 0.497042i 0.608431 + 0.0304756i
\(267\) 12.1269 14.0381i 0.742156 0.859119i
\(268\) −15.5684 19.0446i −0.950991 1.16333i
\(269\) −13.6891 + 13.6891i −0.834637 + 0.834637i −0.988147 0.153510i \(-0.950942\pi\)
0.153510 + 0.988147i \(0.450942\pi\)
\(270\) 0.0855025 + 0.00798372i 0.00520352 + 0.000485873i
\(271\) −7.11000 −0.431902 −0.215951 0.976404i \(-0.569285\pi\)
−0.215951 + 0.976404i \(0.569285\pi\)
\(272\) −4.08562 + 4.62284i −0.247727 + 0.280301i
\(273\) −0.808361 11.0668i −0.0489242 0.669795i
\(274\) 3.99770 + 4.41929i 0.241510 + 0.266979i
\(275\) −2.45261 9.15326i −0.147898 0.551962i
\(276\) −14.3208 15.1213i −0.862014 0.910194i
\(277\) 5.81917 21.7174i 0.349640 1.30487i −0.537457 0.843291i \(-0.680615\pi\)
0.887097 0.461583i \(-0.152718\pi\)
\(278\) 10.4509 + 20.3942i 0.626801 + 1.22316i
\(279\) 16.3310 + 6.48062i 0.977710 + 0.387985i
\(280\) 0.0399079 + 0.00603724i 0.00238496 + 0.000360794i
\(281\) −19.7952 + 11.4288i −1.18088 + 0.681783i −0.956218 0.292654i \(-0.905462\pi\)
−0.224664 + 0.974436i \(0.572128\pi\)
\(282\) 6.42668 0.146985i 0.382703 0.00875286i
\(283\) −5.96971 + 1.59958i −0.354862 + 0.0950851i −0.431846 0.901947i \(-0.642138\pi\)
0.0769838 + 0.997032i \(0.475471\pi\)
\(284\) −11.7011 25.9572i −0.694331 1.54028i
\(285\) −0.109990 + 0.0382544i −0.00651523 + 0.00226600i
\(286\) 2.95546 + 13.7479i 0.174760 + 0.812930i
\(287\) 4.52381 0.267032
\(288\) −6.07674 + 15.8453i −0.358076 + 0.933693i
\(289\) −14.6211 −0.860063
\(290\) 0.0107189 + 0.0498613i 0.000629438 + 0.00292796i
\(291\) −5.71614 + 29.9017i −0.335086 + 1.75287i
\(292\) 3.55142 + 7.87834i 0.207831 + 0.461045i
\(293\) −3.76752 + 1.00950i −0.220101 + 0.0589758i −0.367184 0.930148i \(-0.619678\pi\)
0.147083 + 0.989124i \(0.453011\pi\)
\(294\) −7.01237 11.5287i −0.408970 0.672368i
\(295\) 0.0920675 0.0531552i 0.00536038 0.00309482i
\(296\) 0.552289 3.65079i 0.0321011 0.212198i
\(297\) −6.65751 7.25700i −0.386308 0.421094i
\(298\) −2.51375 4.90543i −0.145618 0.284164i
\(299\) 8.16352 30.4667i 0.472109 1.76193i
\(300\) 16.8455 4.02644i 0.972576 0.232467i
\(301\) −1.58370 5.91043i −0.0912827 0.340672i
\(302\) −14.2494 15.7521i −0.819961 0.906434i
\(303\) −9.98550 + 6.78045i −0.573652 + 0.389527i
\(304\) −1.41700 22.9697i −0.0812703 1.31740i
\(305\) 0.146623 0.00839562
\(306\) 6.12985 2.29038i 0.350420 0.130932i
\(307\) 10.8111 10.8111i 0.617023 0.617023i −0.327743 0.944767i \(-0.606288\pi\)
0.944767 + 0.327743i \(0.106288\pi\)
\(308\) −2.92958 3.58371i −0.166928 0.204201i
\(309\) 1.44940 + 4.16733i 0.0824532 + 0.237071i
\(310\) −0.0966684 0.00484200i −0.00549040 0.000275007i
\(311\) −19.5372 11.2798i −1.10785 0.639619i −0.169581 0.985516i \(-0.554241\pi\)
−0.938273 + 0.345897i \(0.887575\pi\)
\(312\) −25.2652 + 4.71696i −1.43036 + 0.267045i
\(313\) 5.17232 2.98624i 0.292357 0.168792i −0.346647 0.937996i \(-0.612680\pi\)
0.639004 + 0.769203i \(0.279347\pi\)
\(314\) −12.3430 + 6.32508i −0.696556 + 0.356945i
\(315\) −0.0343490 0.0255514i −0.00193535 0.00143966i
\(316\) 0.850300 + 0.611789i 0.0478331 + 0.0344158i
\(317\) −17.9792 4.81751i −1.00981 0.270579i −0.284262 0.958747i \(-0.591748\pi\)
−0.725551 + 0.688168i \(0.758415\pi\)
\(318\) 29.5401 8.64385i 1.65653 0.484723i
\(319\) 2.92439 5.06520i 0.163735 0.283597i
\(320\) 0.00359675 0.0934190i 0.000201064 0.00522228i
\(321\) 0.628435 + 8.60356i 0.0350758 + 0.480204i
\(322\) 2.18211 + 10.1505i 0.121605 + 0.565668i
\(323\) −6.27476 + 6.27476i −0.349137 + 0.349137i
\(324\) 13.5898 11.8033i 0.754988 0.655739i
\(325\) 18.5482 + 18.5482i 1.02887 + 1.02887i
\(326\) 8.77903 + 5.67234i 0.486225 + 0.314162i
\(327\) 7.67912 0.560910i 0.424656 0.0310184i
\(328\) −1.16756 10.4130i −0.0644675 0.574961i
\(329\) −2.77534 1.60234i −0.153009 0.0883400i
\(330\) 0.0475916 + 0.0260447i 0.00261983 + 0.00143371i
\(331\) 2.72957 10.1869i 0.150031 0.559923i −0.849449 0.527671i \(-0.823065\pi\)
0.999480 0.0322521i \(-0.0102679\pi\)
\(332\) 22.2386 3.62777i 1.22050 0.199100i
\(333\) −2.33745 + 3.14226i −0.128091 + 0.172195i
\(334\) −3.16388 + 9.81461i −0.173120 + 0.537031i
\(335\) −0.0718638 0.124472i −0.00392634 0.00680062i
\(336\) 6.69322 5.17456i 0.365145 0.282295i
\(337\) 12.1222 20.9962i 0.660336 1.14374i −0.320192 0.947353i \(-0.603747\pi\)
0.980527 0.196382i \(-0.0629194\pi\)
\(338\) −13.7794 15.2326i −0.749503 0.828546i
\(339\) 25.8773 9.00011i 1.40546 0.488819i
\(340\) −0.0279098 + 0.0228155i −0.00151362 + 0.00123734i
\(341\) 7.84884 + 7.84884i 0.425038 + 0.425038i
\(342\) −10.1271 + 22.2095i −0.547612 + 1.20095i
\(343\) 15.2749i 0.824767i
\(344\) −13.1960 + 5.17081i −0.711481 + 0.278792i
\(345\) −0.0683602 0.100673i −0.00368039 0.00542007i
\(346\) −1.68016 + 33.5436i −0.0903257 + 1.80331i
\(347\) −18.5696 + 4.97570i −0.996867 + 0.267110i −0.720132 0.693837i \(-0.755919\pi\)
−0.276735 + 0.960946i \(0.589252\pi\)
\(348\) 9.10923 + 5.59468i 0.488306 + 0.299906i
\(349\) 15.6423 + 4.19134i 0.837313 + 0.224357i 0.651901 0.758304i \(-0.273972\pi\)
0.185411 + 0.982661i \(0.440638\pi\)
\(350\) −8.21798 2.64919i −0.439270 0.141605i
\(351\) 26.0039 + 8.18252i 1.38798 + 0.436750i
\(352\) −7.49295 + 7.66829i −0.399376 + 0.408721i
\(353\) −7.69391 13.3262i −0.409505 0.709284i 0.585329 0.810796i \(-0.300965\pi\)
−0.994834 + 0.101512i \(0.967632\pi\)
\(354\) 5.27374 21.6505i 0.280296 1.15071i
\(355\) −0.0430587 0.160697i −0.00228532 0.00852893i
\(356\) 8.80297 + 19.5282i 0.466556 + 1.03499i
\(357\) −3.20420 0.612527i −0.169584 0.0324184i
\(358\) 19.2325 + 12.4266i 1.01647 + 0.656766i
\(359\) 2.97883i 0.157217i −0.996906 0.0786083i \(-0.974952\pi\)
0.996906 0.0786083i \(-0.0250476\pi\)
\(360\) −0.0499495 + 0.0856598i −0.00263257 + 0.00451467i
\(361\) 14.1010i 0.742159i
\(362\) 3.27059 5.06185i 0.171898 0.266045i
\(363\) 4.21492 + 12.1188i 0.221226 + 0.636073i
\(364\) 11.9830 + 4.53636i 0.628080 + 0.237770i
\(365\) 0.0130689 + 0.0487737i 0.000684056 + 0.00255293i
\(366\) 21.2292 22.2231i 1.10967 1.16162i
\(367\) 12.5585 + 21.7519i 0.655547 + 1.13544i 0.981756 + 0.190143i \(0.0608952\pi\)
−0.326210 + 0.945297i \(0.605772\pi\)
\(368\) 22.8015 7.64260i 1.18861 0.398398i
\(369\) −4.09933 + 10.3302i −0.213403 + 0.537769i
\(370\) 0.00661936 0.0205338i 0.000344124 0.00106750i
\(371\) −14.8211 3.97131i −0.769474 0.206180i
\(372\) −14.7303 + 13.9506i −0.763730 + 0.723302i
\(373\) −28.8046 + 7.71816i −1.49144 + 0.399631i −0.910224 0.414116i \(-0.864091\pi\)
−0.581220 + 0.813747i \(0.697424\pi\)
\(374\) 4.12892 + 0.206812i 0.213501 + 0.0106940i
\(375\) 0.201867 0.0147451i 0.0104244 0.000761435i
\(376\) −2.97201 + 6.80188i −0.153270 + 0.350780i
\(377\) 16.1901i 0.833832i
\(378\) −8.84603 + 1.50660i −0.454991 + 0.0774913i
\(379\) 10.1985 + 10.1985i 0.523864 + 0.523864i 0.918736 0.394872i \(-0.129211\pi\)
−0.394872 + 0.918736i \(0.629211\pi\)
\(380\) 0.0134369 0.133795i 0.000689300 0.00686352i
\(381\) −7.50518 6.48341i −0.384502 0.332155i
\(382\) 4.73422 4.28258i 0.242224 0.219116i
\(383\) 10.5750 18.3164i 0.540356 0.935924i −0.458528 0.888680i \(-0.651623\pi\)
0.998883 0.0472436i \(-0.0150437\pi\)
\(384\) −13.6384 14.0711i −0.695979 0.718062i
\(385\) −0.0135230 0.0234224i −0.000689194 0.00119372i
\(386\) −4.73236 1.52555i −0.240871 0.0776482i
\(387\) 14.9317 + 1.73945i 0.759020 + 0.0884213i
\(388\) −28.5345 20.5305i −1.44862 1.04228i
\(389\) −8.13193 + 30.3488i −0.412305 + 1.53874i 0.377867 + 0.925860i \(0.376658\pi\)
−0.790173 + 0.612884i \(0.790009\pi\)
\(390\) −0.150137 + 0.00343379i −0.00760246 + 0.000173877i
\(391\) −8.03056 4.63645i −0.406123 0.234475i
\(392\) 15.4843 1.73618i 0.782078 0.0876904i
\(393\) 5.12553 10.5921i 0.258549 0.534303i
\(394\) 5.23076 8.09560i 0.263522 0.407850i
\(395\) 0.00432797 + 0.00432797i 0.000217764 + 0.000217764i
\(396\) 10.8382 3.44231i 0.544638 0.172983i
\(397\) −3.24113 + 3.24113i −0.162668 + 0.162668i −0.783747 0.621080i \(-0.786694\pi\)
0.621080 + 0.783747i \(0.286694\pi\)
\(398\) −6.44749 + 1.38605i −0.323184 + 0.0694765i
\(399\) 10.0671 6.83587i 0.503986 0.342221i
\(400\) −3.97696 + 19.6000i −0.198848 + 0.980002i
\(401\) −10.7429 + 18.6073i −0.536476 + 0.929203i 0.462614 + 0.886560i \(0.346911\pi\)
−0.999090 + 0.0426439i \(0.986422\pi\)
\(402\) −29.2706 7.12990i −1.45989 0.355607i
\(403\) −29.6789 7.95244i −1.47841 0.396139i
\(404\) −2.24392 13.7554i −0.111639 0.684357i
\(405\) 0.0894731 0.0552828i 0.00444596 0.00274702i
\(406\) −2.43041 4.74280i −0.120619 0.235381i
\(407\) −2.14269 + 1.23708i −0.106209 + 0.0613200i
\(408\) −0.582952 + 7.53357i −0.0288604 + 0.372967i
\(409\) 23.1426 + 13.3614i 1.14433 + 0.660678i 0.947499 0.319760i \(-0.103602\pi\)
0.196829 + 0.980438i \(0.436936\pi\)
\(410\) 0.00306282 0.0611478i 0.000151262 0.00301988i
\(411\) 7.16865 + 1.37039i 0.353604 + 0.0675963i
\(412\) −5.06925 0.509102i −0.249744 0.0250817i
\(413\) −7.85515 + 7.85515i −0.386527 + 0.386527i
\(414\) −25.1563 4.21521i −1.23637 0.207166i
\(415\) 0.131658 0.00646283
\(416\) 7.34917 28.7535i 0.360323 1.40976i
\(417\) 25.2638 + 12.2252i 1.23718 + 0.598669i
\(418\) −11.4361 + 10.3451i −0.559356 + 0.505994i
\(419\) 2.36864 + 8.83989i 0.115716 + 0.431857i 0.999339 0.0363407i \(-0.0115702\pi\)
−0.883624 + 0.468198i \(0.844903\pi\)
\(420\) 0.0434663 0.0235440i 0.00212094 0.00114883i
\(421\) 7.75295 28.9344i 0.377856 1.41018i −0.471272 0.881988i \(-0.656205\pi\)
0.849127 0.528188i \(-0.177128\pi\)
\(422\) −22.7308 + 11.6482i −1.10652 + 0.567026i
\(423\) 6.17391 4.88555i 0.300186 0.237544i
\(424\) −5.31603 + 35.1405i −0.258169 + 1.70657i
\(425\) 6.67852 3.85585i 0.323956 0.187036i
\(426\) −30.5906 16.7408i −1.48212 0.811094i
\(427\) −14.7993 + 3.96545i −0.716187 + 0.191902i
\(428\) −9.31581 3.52665i −0.450297 0.170467i
\(429\) 13.0328 + 11.2585i 0.629231 + 0.543566i
\(430\) −0.0809629 + 0.0174050i −0.00390438 + 0.000839345i
\(431\) −7.05544 −0.339849 −0.169924 0.985457i \(-0.554352\pi\)
−0.169924 + 0.985457i \(0.554352\pi\)
\(432\) 5.75101 + 19.9731i 0.276696 + 0.960958i
\(433\) 13.1552 0.632201 0.316100 0.948726i \(-0.397626\pi\)
0.316100 + 0.948726i \(0.397626\pi\)
\(434\) 9.88808 2.12569i 0.474643 0.102036i
\(435\) 0.0472679 + 0.0408327i 0.00226632 + 0.00195778i
\(436\) −3.14771 + 8.31484i −0.150748 + 0.398209i
\(437\) 33.4109 8.95243i 1.59826 0.428253i
\(438\) 9.28463 + 5.08104i 0.443637 + 0.242782i
\(439\) 12.8757 7.43381i 0.614525 0.354796i −0.160209 0.987083i \(-0.551217\pi\)
0.774734 + 0.632287i \(0.217884\pi\)
\(440\) −0.0504241 + 0.0371725i −0.00240387 + 0.00177213i
\(441\) −15.3612 6.09580i −0.731488 0.290276i
\(442\) −10.1843 + 5.21887i −0.484418 + 0.248236i
\(443\) 0.797625 2.97678i 0.0378963 0.141431i −0.944386 0.328840i \(-0.893342\pi\)
0.982282 + 0.187409i \(0.0600090\pi\)
\(444\) −2.15381 3.97631i −0.102216 0.188707i
\(445\) 0.0323940 + 0.120896i 0.00153562 + 0.00573102i
\(446\) −5.99414 + 5.42231i −0.283831 + 0.256754i
\(447\) −6.07673 2.94053i −0.287419 0.139082i
\(448\) 2.16350 + 9.52643i 0.102216 + 0.450082i
\(449\) −21.8550 −1.03140 −0.515701 0.856769i \(-0.672468\pi\)
−0.515701 + 0.856769i \(0.672468\pi\)
\(450\) 13.4964 16.3653i 0.636224 0.771469i
\(451\) −4.96480 + 4.96480i −0.233783 + 0.233783i
\(452\) −3.16130 + 31.4778i −0.148695 + 1.48059i
\(453\) −25.5520 4.88462i −1.20054 0.229500i
\(454\) −1.44118 + 28.7724i −0.0676378 + 1.35036i
\(455\) 0.0648360 + 0.0374331i 0.00303956 + 0.00175489i
\(456\) −18.3332 21.4084i −0.858529 1.00254i
\(457\) 2.32261 1.34096i 0.108647 0.0627275i −0.444692 0.895684i \(-0.646687\pi\)
0.553339 + 0.832956i \(0.313353\pi\)
\(458\) 2.47401 + 4.82788i 0.115603 + 0.225592i
\(459\) 4.30226 6.76179i 0.200812 0.315613i
\(460\) 0.138681 0.0226231i 0.00646605 0.00105481i
\(461\) −10.2573 2.74844i −0.477732 0.128008i 0.0119146 0.999929i \(-0.496207\pi\)
−0.489646 + 0.871921i \(0.662874\pi\)
\(462\) −5.50800 1.34167i −0.256255 0.0624200i
\(463\) 11.8249 20.4814i 0.549550 0.951849i −0.448755 0.893655i \(-0.648132\pi\)
0.998305 0.0581943i \(-0.0185343\pi\)
\(464\) −10.2898 + 6.81845i −0.477692 + 0.316539i
\(465\) −0.0980702 + 0.0665926i −0.00454790 + 0.00308816i
\(466\) −7.36999 + 1.58436i −0.341408 + 0.0733942i
\(467\) 2.22540 2.22540i 0.102979 0.102979i −0.653740 0.756719i \(-0.726801\pi\)
0.756719 + 0.653740i \(0.226801\pi\)
\(468\) −21.2175 + 23.2527i −0.980779 + 1.07486i
\(469\) 10.6199 + 10.6199i 0.490380 + 0.490380i
\(470\) −0.0235377 + 0.0364291i −0.00108572 + 0.00168035i
\(471\) −7.39893 + 15.2902i −0.340925 + 0.704536i
\(472\) 20.1085 + 16.0538i 0.925568 + 0.738936i
\(473\) 8.22468 + 4.74852i 0.378171 + 0.218337i
\(474\) 1.28261 0.0293347i 0.0589122 0.00134739i
\(475\) −7.44518 + 27.7858i −0.341608 + 1.27490i
\(476\) 2.20000 3.05768i 0.100837 0.140149i
\(477\) 22.4990 30.2456i 1.03016 1.38485i
\(478\) −37.2519 12.0087i −1.70386 0.549265i
\(479\) −6.23896 10.8062i −0.285066 0.493748i 0.687559 0.726128i \(-0.258682\pi\)
−0.972625 + 0.232380i \(0.925349\pi\)
\(480\) −0.0654124 0.0939750i −0.00298565 0.00428935i
\(481\) 3.42439 5.93121i 0.156139 0.270440i
\(482\) −1.77705 + 1.60752i −0.0809423 + 0.0732205i
\(483\) 9.62259 + 8.31255i 0.437843 + 0.378234i
\(484\) −14.7417 1.48050i −0.670075 0.0672953i
\(485\) −0.145238 0.145238i −0.00659494 0.00659494i
\(486\) 4.57564 21.5653i 0.207555 0.978223i
\(487\) 12.5314i 0.567853i 0.958846 + 0.283927i \(0.0916372\pi\)
−0.958846 + 0.283927i \(0.908363\pi\)
\(488\) 12.9473 + 33.0418i 0.586098 + 1.49573i
\(489\) 12.7672 0.932559i 0.577351 0.0421718i
\(490\) 0.0909282 + 0.00455448i 0.00410772 + 0.000205751i
\(491\) 14.6898 3.93613i 0.662942 0.177635i 0.0883688 0.996088i \(-0.471835\pi\)
0.574574 + 0.818453i \(0.305168\pi\)
\(492\) −8.82446 9.31768i −0.397837 0.420073i
\(493\) 4.59756 + 1.23191i 0.207064 + 0.0554825i
\(494\) 13.0970 40.6279i 0.589262 1.82794i
\(495\) 0.0657397 0.00965524i 0.00295478 0.000433971i
\(496\) −7.44499 22.2120i −0.334290 0.997346i
\(497\) 8.69218 + 15.0553i 0.389898 + 0.675322i
\(498\) 19.0624 19.9548i 0.854209 0.894197i
\(499\) −7.88570 29.4298i −0.353012 1.31746i −0.882967 0.469434i \(-0.844458\pi\)
0.529955 0.848026i \(-0.322209\pi\)
\(500\) −0.0827466 + 0.218579i −0.00370054 + 0.00977516i
\(501\) 4.14878 + 11.9286i 0.185354 + 0.532933i
\(502\) −1.07235 + 1.65966i −0.0478613 + 0.0740744i
\(503\) 1.90106i 0.0847639i −0.999101 0.0423820i \(-0.986505\pi\)
0.999101 0.0423820i \(-0.0134946\pi\)
\(504\) 2.72492 9.99688i 0.121378 0.445297i
\(505\) 0.0814355i 0.00362383i
\(506\) −13.5349 8.74522i −0.601699 0.388772i
\(507\) −24.7093 4.72352i −1.09738 0.209779i
\(508\) 10.4403 4.70632i 0.463214 0.208809i
\(509\) −3.34659 12.4896i −0.148335 0.553593i −0.999584 0.0288320i \(-0.990821\pi\)
0.851249 0.524761i \(-0.175845\pi\)
\(510\) −0.0104489 + 0.0428961i −0.000462683 + 0.00189947i
\(511\) −2.63819 4.56947i −0.116706 0.202142i
\(512\) 21.3697 7.43868i 0.944418 0.328746i
\(513\) 6.48734 + 29.1829i 0.286423 + 1.28846i
\(514\) 31.8234 + 10.2587i 1.40367 + 0.452494i
\(515\) −0.0287544 0.00770471i −0.00126707 0.000339510i
\(516\) −9.08444 + 14.7912i −0.399920 + 0.651148i
\(517\) 4.80444 1.28734i 0.211299 0.0566174i
\(518\) −0.112779 + 2.25158i −0.00495522 + 0.0989287i
\(519\) 23.1074 + 34.0300i 1.01430 + 1.49375i
\(520\) 0.0694305 0.158902i 0.00304473 0.00696831i
\(521\) 1.24885i 0.0547130i −0.999626 0.0273565i \(-0.991291\pi\)
0.999626 0.0273565i \(-0.00870893\pi\)
\(522\) 13.0327 1.25211i 0.570424 0.0548036i
\(523\) 9.58031 + 9.58031i 0.418918 + 0.418918i 0.884831 0.465913i \(-0.154274\pi\)
−0.465913 + 0.884831i \(0.654274\pi\)
\(524\) 8.59962 + 10.5198i 0.375676 + 0.459559i
\(525\) −9.98811 + 3.47387i −0.435917 + 0.151612i
\(526\) 24.3877 + 26.9596i 1.06335 + 1.17550i
\(527\) −4.51656 + 7.82292i −0.196745 + 0.340772i
\(528\) −1.66671 + 13.0247i −0.0725342 + 0.566827i
\(529\) 6.57248 + 11.3839i 0.285760 + 0.494951i
\(530\) −0.0637143 + 0.197647i −0.00276757 + 0.00858523i
\(531\) −10.8193 25.0555i −0.469518 1.08732i
\(532\) 2.26226 + 13.8678i 0.0980813 + 0.601247i
\(533\) 5.03034 18.7735i 0.217888 0.813169i
\(534\) 23.0140 + 12.5945i 0.995911 + 0.545015i
\(535\) −0.0504047 0.0291012i −0.00217918 0.00125815i
\(536\) 21.7041 27.1859i 0.937475 1.17425i
\(537\) 27.9695 2.04299i 1.20697 0.0881616i
\(538\) −22.9957 14.8581i −0.991413 0.640576i
\(539\) −7.38278 7.38278i −0.317999 0.317999i
\(540\) 0.0143754 + 0.120591i 0.000618620 + 0.00518941i
\(541\) 13.0165 13.0165i 0.559622 0.559622i −0.369578 0.929200i \(-0.620498\pi\)
0.929200 + 0.369578i \(0.120498\pi\)
\(542\) −2.11331 9.83047i −0.0907743 0.422255i
\(543\) −0.537699 7.36135i −0.0230749 0.315906i
\(544\) −7.60603 4.27484i −0.326106 0.183282i
\(545\) −0.0259743 + 0.0449887i −0.00111262 + 0.00192711i
\(546\) 15.0610 4.40706i 0.644552 0.188605i
\(547\) −9.76080 2.61540i −0.417341 0.111826i 0.0440366 0.999030i \(-0.485978\pi\)
−0.461378 + 0.887204i \(0.652645\pi\)
\(548\) −4.92199 + 6.84086i −0.210257 + 0.292227i
\(549\) 4.35545 37.3878i 0.185886 1.59567i
\(550\) 11.9265 6.11167i 0.508550 0.260602i
\(551\) −15.3760 + 8.87733i −0.655039 + 0.378187i
\(552\) 16.6505 24.2949i 0.708691 1.03406i
\(553\) −0.553890 0.319788i −0.0235538 0.0135988i
\(554\) 31.7567 + 1.59066i 1.34921 + 0.0675805i
\(555\) −0.00867994 0.0249567i −0.000368443 0.00105935i
\(556\) −25.0912 + 20.5114i −1.06411 + 0.869877i
\(557\) 26.6259 26.6259i 1.12818 1.12818i 0.137702 0.990474i \(-0.456029\pi\)
0.990474 0.137702i \(-0.0439715\pi\)
\(558\) −4.10621 + 24.5059i −0.173830 + 1.03742i
\(559\) −26.2889 −1.11190
\(560\) 0.00351460 + 0.0569722i 0.000148519 + 0.00240751i
\(561\) 4.18879 2.84431i 0.176851 0.120087i
\(562\) −21.6854 23.9724i −0.914745 1.01121i
\(563\) 5.67141 + 21.1660i 0.239021 + 0.892039i 0.976295 + 0.216445i \(0.0694462\pi\)
−0.737274 + 0.675594i \(0.763887\pi\)
\(564\) 2.11343 + 8.84201i 0.0889915 + 0.372316i
\(565\) −0.0478429 + 0.178552i −0.00201276 + 0.00751174i
\(566\) −3.98600 7.77843i −0.167544 0.326952i
\(567\) −7.53575 + 7.99973i −0.316472 + 0.335957i
\(568\) 32.4112 23.8935i 1.35994 1.00255i
\(569\) −8.15901 + 4.71061i −0.342044 + 0.197479i −0.661175 0.750231i \(-0.729942\pi\)
0.319132 + 0.947710i \(0.396609\pi\)
\(570\) −0.0855839 0.140704i −0.00358471 0.00589346i
\(571\) −28.4258 + 7.61666i −1.18958 + 0.318747i −0.798720 0.601702i \(-0.794489\pi\)
−0.390861 + 0.920450i \(0.627823\pi\)
\(572\) −18.1297 + 8.17258i −0.758042 + 0.341713i
\(573\) 1.46805 7.67950i 0.0613285 0.320816i
\(574\) 1.34461 + 6.25473i 0.0561230 + 0.261067i
\(575\) −30.0595 −1.25357
\(576\) −23.7143 3.69216i −0.988096 0.153840i
\(577\) −42.9309 −1.78724 −0.893618 0.448828i \(-0.851842\pi\)
−0.893618 + 0.448828i \(0.851842\pi\)
\(578\) −4.34582 20.2155i −0.180762 0.840852i
\(579\) −5.75170 + 2.00044i −0.239033 + 0.0831355i
\(580\) −0.0657535 + 0.0296406i −0.00273027 + 0.00123076i
\(581\) −13.2888 + 3.56071i −0.551310 + 0.147723i
\(582\) −43.0419 + 0.984417i −1.78415 + 0.0408054i
\(583\) 20.6244 11.9075i 0.854175 0.493158i
\(584\) −9.83721 + 7.25197i −0.407067 + 0.300089i
\(585\) −0.144232 + 0.114134i −0.00596324 + 0.00471884i
\(586\) −2.51559 4.90901i −0.103918 0.202789i
\(587\) −8.13523 + 30.3611i −0.335777 + 1.25314i 0.567247 + 0.823548i \(0.308008\pi\)
−0.903024 + 0.429589i \(0.858658\pi\)
\(588\) 13.8556 13.1222i 0.571395 0.541149i
\(589\) −8.72095 32.5470i −0.359340 1.34108i
\(590\) 0.100859 + 0.111496i 0.00415230 + 0.00459020i
\(591\) −0.859962 11.7733i −0.0353741 0.484288i
\(592\) 5.21184 0.321517i 0.214205 0.0132143i
\(593\) 0.434128 0.0178275 0.00891374 0.999960i \(-0.497163\pi\)
0.00891374 + 0.999960i \(0.497163\pi\)
\(594\) 8.05490 11.3618i 0.330497 0.466182i
\(595\) 0.0155634 0.0155634i 0.000638037 0.000638037i
\(596\) 6.03522 4.93362i 0.247212 0.202089i
\(597\) −5.28002 + 6.11215i −0.216097 + 0.250154i
\(598\) 44.5505 + 2.23148i 1.82180 + 0.0912519i
\(599\) −3.46143 1.99846i −0.141430 0.0816547i 0.427615 0.903961i \(-0.359354\pi\)
−0.569045 + 0.822306i \(0.692687\pi\)
\(600\) 10.5741 + 22.0943i 0.431684 + 0.901995i
\(601\) 3.54563 2.04707i 0.144629 0.0835019i −0.425939 0.904752i \(-0.640056\pi\)
0.570569 + 0.821250i \(0.306723\pi\)
\(602\) 7.70119 3.94642i 0.313877 0.160844i
\(603\) −33.8741 + 14.6273i −1.37946 + 0.595669i
\(604\) 17.5440 24.3836i 0.713854 0.992155i
\(605\) −0.0836192 0.0224057i −0.00339961 0.000910922i
\(606\) −12.3428 11.7909i −0.501393 0.478971i
\(607\) 16.8996 29.2709i 0.685932 1.18807i −0.287211 0.957867i \(-0.592728\pi\)
0.973143 0.230202i \(-0.0739386\pi\)
\(608\) 31.3374 8.78648i 1.27090 0.356339i
\(609\) −5.87527 2.84304i −0.238078 0.115206i
\(610\) 0.0435809 + 0.202725i 0.00176454 + 0.00820810i
\(611\) −9.73570 + 9.73570i −0.393864 + 0.393864i
\(612\) 4.98871 + 7.79452i 0.201657 + 0.315075i
\(613\) 1.73094 + 1.73094i 0.0699119 + 0.0699119i 0.741198 0.671286i \(-0.234258\pi\)
−0.671286 + 0.741198i \(0.734258\pi\)
\(614\) 18.1611 + 11.7343i 0.732924 + 0.473560i
\(615\) −0.0421233 0.0620346i −0.00169858 0.00250147i
\(616\) 4.08417 5.11570i 0.164556 0.206117i
\(617\) 14.9093 + 8.60788i 0.600225 + 0.346540i 0.769130 0.639092i \(-0.220690\pi\)
−0.168905 + 0.985632i \(0.554023\pi\)
\(618\) −5.33105 + 3.24263i −0.214446 + 0.130438i
\(619\) −1.70053 + 6.34645i −0.0683499 + 0.255085i −0.991643 0.129010i \(-0.958820\pi\)
0.923293 + 0.384095i \(0.125487\pi\)
\(620\) −0.0220381 0.135095i −0.000885071 0.00542556i
\(621\) −27.7016 + 14.4408i −1.11163 + 0.579490i
\(622\) 9.78871 30.3653i 0.392491 1.21754i
\(623\) −6.53931 11.3264i −0.261992 0.453783i
\(624\) −14.0314 33.5303i −0.561705 1.34229i
\(625\) 12.4990 21.6489i 0.499959 0.865954i
\(626\) 5.66623 + 6.26379i 0.226468 + 0.250351i
\(627\) −3.54624 + 18.5507i −0.141623 + 0.740846i
\(628\) −12.4139 15.1858i −0.495370 0.605978i
\(629\) −1.42374 1.42374i −0.0567684 0.0567684i
\(630\) 0.0251184 0.0550865i 0.00100074 0.00219470i
\(631\) 13.3295i 0.530639i −0.964161 0.265319i \(-0.914523\pi\)
0.964161 0.265319i \(-0.0854774\pi\)
\(632\) −0.593141 + 1.35749i −0.0235939 + 0.0539980i
\(633\) −13.6258 + 28.1583i −0.541577 + 1.11919i
\(634\) 1.31686 26.2904i 0.0522990 1.04413i
\(635\) 0.0646345 0.0173188i 0.00256494 0.000687274i
\(636\) 20.7314 + 38.2738i 0.822055 + 1.51765i
\(637\) 27.9166 + 7.48023i 1.10610 + 0.296377i
\(638\) 7.87249 + 2.53781i 0.311675 + 0.100473i
\(639\) −42.2557 + 6.20612i −1.67161 + 0.245510i
\(640\) 0.130233 0.0227940i 0.00514790 0.000901012i
\(641\) 8.26044 + 14.3075i 0.326268 + 0.565113i 0.981768 0.190082i \(-0.0608755\pi\)
−0.655500 + 0.755195i \(0.727542\pi\)
\(642\) −11.7087 + 3.42613i −0.462106 + 0.135219i
\(643\) 6.43213 + 24.0050i 0.253659 + 0.946667i 0.968832 + 0.247719i \(0.0796811\pi\)
−0.715173 + 0.698947i \(0.753652\pi\)
\(644\) −13.3858 + 6.03410i −0.527475 + 0.237777i
\(645\) −0.0663027 + 0.0767519i −0.00261067 + 0.00302210i
\(646\) −10.5407 6.81060i −0.414718 0.267959i
\(647\) 26.9660i 1.06014i −0.847954 0.530071i \(-0.822165\pi\)
0.847954 0.530071i \(-0.177835\pi\)
\(648\) 20.3588 + 15.2813i 0.799771 + 0.600305i
\(649\) 17.2418i 0.676800i
\(650\) −20.1321 + 31.1582i −0.789645 + 1.22213i
\(651\) 8.09761 9.37378i 0.317370 0.367387i
\(652\) −5.23333 + 13.8241i −0.204953 + 0.541393i
\(653\) −1.41419 5.27782i −0.0553414 0.206537i 0.932719 0.360604i \(-0.117429\pi\)
−0.988060 + 0.154067i \(0.950763\pi\)
\(654\) 3.05800 + 10.4506i 0.119577 + 0.408652i
\(655\) 0.0396959 + 0.0687553i 0.00155105 + 0.00268649i
\(656\) 14.0502 4.70935i 0.548569 0.183869i
\(657\) 12.8251 1.88364i 0.500356 0.0734876i
\(658\) 1.39053 4.31352i 0.0542083 0.168159i
\(659\) 0.689165 + 0.184661i 0.0268460 + 0.00719337i 0.272217 0.962236i \(-0.412243\pi\)
−0.245371 + 0.969429i \(0.578910\pi\)
\(660\) −0.0218643 + 0.0735427i −0.000851069 + 0.00286265i
\(661\) −36.9228 + 9.89344i −1.43613 + 0.384810i −0.891177 0.453656i \(-0.850120\pi\)
−0.544954 + 0.838466i \(0.683453\pi\)
\(662\) 14.8960 + 0.746122i 0.578949 + 0.0289989i
\(663\) −6.10491 + 12.6161i −0.237095 + 0.489968i
\(664\) 11.6258 + 29.6693i 0.451170 + 1.15139i
\(665\) 0.0821010i 0.00318374i
\(666\) −5.03933 2.29784i −0.195270 0.0890397i
\(667\) −13.1190 13.1190i −0.507970 0.507970i
\(668\) −14.5103 1.45726i −0.561421 0.0563833i
\(669\) −1.85874 + 9.72326i −0.0718630 + 0.375923i
\(670\) 0.150738 0.136357i 0.00582351 0.00526795i
\(671\) 11.8899 20.5940i 0.459006 0.795022i
\(672\) 9.14390 + 7.71618i 0.352734 + 0.297658i
\(673\) −6.39173 11.0708i −0.246383 0.426748i 0.716137 0.697960i \(-0.245909\pi\)
−0.962520 + 0.271212i \(0.912575\pi\)
\(674\) 32.6329 + 10.5197i 1.25697 + 0.405204i
\(675\) 1.11828 25.9560i 0.0430427 0.999046i
\(676\) 16.9654 23.5794i 0.652514 0.906901i
\(677\) 6.82184 25.4595i 0.262185 0.978487i −0.701766 0.712407i \(-0.747605\pi\)
0.963951 0.266079i \(-0.0857284\pi\)
\(678\) 20.1353 + 33.1035i 0.773292 + 1.27133i
\(679\) 18.5875 + 10.7315i 0.713323 + 0.411837i
\(680\) −0.0398409 0.0318073i −0.00152783 0.00121976i
\(681\) 19.8207 + 29.1897i 0.759529 + 1.11855i
\(682\) −8.51910 + 13.1849i −0.326213 + 0.504877i
\(683\) 9.42670 + 9.42670i 0.360703 + 0.360703i 0.864072 0.503369i \(-0.167906\pi\)
−0.503369 + 0.864072i \(0.667906\pi\)
\(684\) −33.7175 7.40069i −1.28922 0.282972i
\(685\) −0.0348195 + 0.0348195i −0.00133039 + 0.00133039i
\(686\) −21.1195 + 4.54016i −0.806345 + 0.173344i
\(687\) 5.98065 + 2.89404i 0.228176 + 0.110414i
\(688\) −11.0716 16.7082i −0.422099 0.636995i
\(689\) −32.9613 + 57.0906i −1.25572 + 2.17498i
\(690\) 0.118875 0.124440i 0.00452549 0.00473734i
\(691\) −15.1910 4.07041i −0.577891 0.154846i −0.0419780 0.999119i \(-0.513366\pi\)
−0.535913 + 0.844273i \(0.680033\pi\)
\(692\) −46.8776 + 7.64714i −1.78202 + 0.290700i
\(693\) −6.37425 + 2.75248i −0.242138 + 0.104558i
\(694\) −12.3990 24.1958i −0.470659 0.918462i
\(695\) −0.163992 + 0.0946807i −0.00622056 + 0.00359144i
\(696\) −5.02781 + 14.2576i −0.190579 + 0.540432i
\(697\) −4.94841 2.85696i −0.187434 0.108215i
\(698\) −1.14569 + 22.8732i −0.0433651 + 0.865764i
\(699\) −6.03547 + 6.98666i −0.228283 + 0.264260i
\(700\) 1.22020 12.1498i 0.0461192 0.459220i
\(701\) 9.62303 9.62303i 0.363457 0.363457i −0.501627 0.865084i \(-0.667265\pi\)
0.865084 + 0.501627i \(0.167265\pi\)
\(702\) −3.58423 + 38.3857i −0.135278 + 1.44877i
\(703\) 7.51063 0.283269
\(704\) −12.8295 8.08070i −0.483530 0.304553i
\(705\) 0.00386971 + 0.0529782i 0.000145742 + 0.00199527i
\(706\) 16.1383 14.5988i 0.607374 0.549431i
\(707\) 2.20244 + 8.21961i 0.0828312 + 0.309130i
\(708\) 31.5021 + 0.856431i 1.18392 + 0.0321866i
\(709\) −10.8223 + 40.3893i −0.406439 + 1.51685i 0.394947 + 0.918704i \(0.370763\pi\)
−0.801386 + 0.598148i \(0.795904\pi\)
\(710\) 0.209386 0.107298i 0.00785812 0.00402683i
\(711\) 1.23216 0.975036i 0.0462097 0.0365667i
\(712\) −24.3836 + 17.9756i −0.913816 + 0.673663i
\(713\) 30.4931 17.6052i 1.14197 0.659319i
\(714\) −0.105488 4.61227i −0.00394778 0.172610i
\(715\) −0.112239 + 0.0300742i −0.00419749 + 0.00112471i
\(716\) −11.4648 + 30.2850i −0.428462 + 1.13180i
\(717\) −45.2759 + 15.7470i −1.69086 + 0.588081i
\(718\) 4.11861 0.885398i 0.153705 0.0330428i
\(719\) 48.7757 1.81903 0.909514 0.415674i \(-0.136454\pi\)
0.909514 + 0.415674i \(0.136454\pi\)
\(720\) −0.133282 0.0436008i −0.00496713 0.00162491i
\(721\) 3.11067 0.115847
\(722\) 19.4964 4.19125i 0.725583 0.155982i
\(723\) −0.551050 + 2.88260i −0.0204938 + 0.107205i
\(724\) 7.97077 + 3.01746i 0.296231 + 0.112143i
\(725\) 14.9037 3.99343i 0.553509 0.148312i
\(726\) −15.5030 + 9.42974i −0.575370 + 0.349970i
\(727\) 34.9918 20.2025i 1.29777 0.749270i 0.317755 0.948173i \(-0.397071\pi\)
0.980019 + 0.198902i \(0.0637377\pi\)
\(728\) −2.71037 + 17.9164i −0.100453 + 0.664024i
\(729\) −11.4389 24.4571i −0.423662 0.905820i
\(730\) −0.0635513 + 0.0325664i −0.00235214 + 0.00120534i
\(731\) −2.00033 + 7.46535i −0.0739850 + 0.276116i
\(732\) 37.0361 + 22.7467i 1.36890 + 0.840744i
\(733\) 7.60991 + 28.4006i 0.281078 + 1.04900i 0.951658 + 0.307161i \(0.0993789\pi\)
−0.670579 + 0.741838i \(0.733954\pi\)
\(734\) −26.3420 + 23.8290i −0.972301 + 0.879544i
\(735\) 0.0922468 0.0626383i 0.00340257 0.00231045i
\(736\) 17.3442 + 29.2544i 0.639314 + 1.07833i
\(737\) −23.3102 −0.858644
\(738\) −15.5013 2.59740i −0.570609 0.0956115i
\(739\) 15.4222 15.4222i 0.567316 0.567316i −0.364060 0.931376i \(-0.618610\pi\)
0.931376 + 0.364060i \(0.118610\pi\)
\(740\) 0.0303580 + 0.00304884i 0.00111598 + 0.000112078i
\(741\) −17.1740 49.3791i −0.630904 1.81399i
\(742\) 1.08555 21.6725i 0.0398517 0.795621i
\(743\) 21.5896 + 12.4647i 0.792045 + 0.457287i 0.840682 0.541529i \(-0.182155\pi\)
−0.0486373 + 0.998817i \(0.515488\pi\)
\(744\) −23.6667 16.2199i −0.867663 0.594652i
\(745\) 0.0394451 0.0227736i 0.00144515 0.000834361i
\(746\) −19.2329 37.5319i −0.704167 1.37414i
\(747\) 3.91091 33.5718i 0.143093 1.22833i
\(748\) 0.941295 + 5.77022i 0.0344172 + 0.210980i
\(749\) 5.87459 + 1.57409i 0.214653 + 0.0575161i
\(750\) 0.0803881 + 0.274724i 0.00293536 + 0.0100315i
\(751\) −21.2809 + 36.8596i −0.776551 + 1.34503i 0.157368 + 0.987540i \(0.449699\pi\)
−0.933919 + 0.357486i \(0.883634\pi\)
\(752\) −10.2878 2.08746i −0.375159 0.0761217i
\(753\) 0.176299 + 2.41362i 0.00642470 + 0.0879571i
\(754\) −22.3848 + 4.81218i −0.815208 + 0.175249i
\(755\) 0.124111 0.124111i 0.00451686 0.00451686i
\(756\) −4.71238 11.7829i −0.171387 0.428542i
\(757\) 1.80855 + 1.80855i 0.0657328 + 0.0657328i 0.739209 0.673476i \(-0.235200\pi\)
−0.673476 + 0.739209i \(0.735200\pi\)
\(758\) −11.0694 + 17.1321i −0.402060 + 0.622265i
\(759\) −19.6835 + 1.43775i −0.714467 + 0.0521872i
\(760\) 0.188982 0.0211896i 0.00685509 0.000768626i
\(761\) −18.5805 10.7275i −0.673543 0.388870i 0.123875 0.992298i \(-0.460468\pi\)
−0.797418 + 0.603428i \(0.793801\pi\)
\(762\) 6.73336 12.3039i 0.243924 0.445724i
\(763\) 1.40496 5.24337i 0.0508629 0.189823i
\(764\) 7.32835 + 5.27274i 0.265130 + 0.190761i
\(765\) 0.0214363 + 0.0496424i 0.000775029 + 0.00179482i
\(766\) 28.4679 + 9.17705i 1.02859 + 0.331580i
\(767\) 23.8636 + 41.3330i 0.861665 + 1.49245i
\(768\) 15.4013 23.0391i 0.555747 0.831352i
\(769\) −9.98382 + 17.2925i −0.360026 + 0.623583i −0.987965 0.154680i \(-0.950565\pi\)
0.627939 + 0.778263i \(0.283899\pi\)
\(770\) 0.0283650 0.0256590i 0.00102221 0.000924688i
\(771\) 38.6781 13.4522i 1.39296 0.484471i
\(772\) 0.702657