Properties

Label 273.2.by.d.202.1
Level $273$
Weight $2$
Character 273.202
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 202.1
Character \(\chi\) \(=\) 273.202
Dual form 273.2.by.d.223.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.16866 + 0.581092i) q^{2} +(0.866025 + 0.500000i) q^{3} +(2.63339 - 1.52039i) q^{4} +(1.87790 - 1.87790i) q^{5} +(-2.16866 - 0.581092i) q^{6} +(1.25762 + 2.32774i) q^{7} +(-1.65230 + 1.65230i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(-2.16866 + 0.581092i) q^{2} +(0.866025 + 0.500000i) q^{3} +(2.63339 - 1.52039i) q^{4} +(1.87790 - 1.87790i) q^{5} +(-2.16866 - 0.581092i) q^{6} +(1.25762 + 2.32774i) q^{7} +(-1.65230 + 1.65230i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-2.98130 + 5.16377i) q^{10} +(-1.20979 - 4.51499i) q^{11} +3.04077 q^{12} +(1.52548 - 3.26694i) q^{13} +(-4.07999 - 4.31730i) q^{14} +(2.56526 - 0.687359i) q^{15} +(-0.417624 + 0.723346i) q^{16} +(-2.18729 - 3.78849i) q^{17} +(-1.58757 - 1.58757i) q^{18} +(0.194491 + 0.0521138i) q^{19} +(2.09010 - 7.80037i) q^{20} +(-0.0747386 + 2.64470i) q^{21} +(5.24724 + 9.08849i) q^{22} +(7.20237 + 4.15829i) q^{23} +(-2.25709 + 0.604784i) q^{24} -2.05302i q^{25} +(-1.40986 + 7.97134i) q^{26} +1.00000i q^{27} +(6.85087 + 4.21777i) q^{28} +(-5.20380 + 9.01325i) q^{29} +(-5.16377 + 2.98130i) q^{30} +(6.75799 - 6.75799i) q^{31} +(1.69492 - 6.32554i) q^{32} +(1.20979 - 4.51499i) q^{33} +(6.94495 + 6.94495i) q^{34} +(6.73296 + 2.00958i) q^{35} +(2.63339 + 1.52039i) q^{36} +(1.22755 + 4.58128i) q^{37} -0.452070 q^{38} +(2.95458 - 2.06651i) q^{39} +6.20572i q^{40} +(-0.136339 - 0.508825i) q^{41} +(-1.37473 - 5.77889i) q^{42} +(2.49507 - 1.44053i) q^{43} +(-10.0504 - 10.0504i) q^{44} +(2.56526 + 0.687359i) q^{45} +(-18.0359 - 4.83270i) q^{46} +(-0.928461 - 0.928461i) q^{47} +(-0.723346 + 0.417624i) q^{48} +(-3.83677 + 5.85484i) q^{49} +(1.19299 + 4.45231i) q^{50} -4.37458i q^{51} +(-0.949833 - 10.9224i) q^{52} +1.95082 q^{53} +(-0.581092 - 2.16866i) q^{54} +(-10.7506 - 6.20683i) q^{55} +(-5.92410 - 1.76816i) q^{56} +(0.142378 + 0.142378i) q^{57} +(6.04777 - 22.5706i) q^{58} +(-1.76081 + 6.57142i) q^{59} +(5.71027 - 5.71027i) q^{60} +(-2.13306 + 1.23152i) q^{61} +(-10.7288 + 18.5828i) q^{62} +(-1.38707 + 2.25300i) q^{63} +13.0324i q^{64} +(-3.27029 - 8.99969i) q^{65} +10.4945i q^{66} +(-1.40878 + 0.377482i) q^{67} +(-11.5199 - 6.65104i) q^{68} +(4.15829 + 7.20237i) q^{69} +(-15.7693 - 0.445637i) q^{70} +(-1.44014 + 5.37468i) q^{71} +(-2.25709 - 0.604784i) q^{72} +(-8.75032 - 8.75032i) q^{73} +(-5.32429 - 9.22194i) q^{74} +(1.02651 - 1.77797i) q^{75} +(0.591404 - 0.158466i) q^{76} +(8.98827 - 8.49422i) q^{77} +(-5.20665 + 6.19846i) q^{78} -4.46495 q^{79} +(0.574115 + 2.14263i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.591348 + 1.02425i) q^{82} +(5.42187 - 5.42187i) q^{83} +(3.82414 + 7.07814i) q^{84} +(-11.2219 - 3.00690i) q^{85} +(-4.57389 + 4.57389i) q^{86} +(-9.01325 + 5.20380i) q^{87} +(9.45905 + 5.46119i) q^{88} +(-15.0461 + 4.03159i) q^{89} -5.96261 q^{90} +(9.52308 - 0.557652i) q^{91} +25.2888 q^{92} +(9.23159 - 2.47360i) q^{93} +(2.55304 + 1.47400i) q^{94} +(0.463100 - 0.267371i) q^{95} +(4.63062 - 4.63062i) q^{96} +(2.84925 + 0.763454i) q^{97} +(4.91847 - 14.9267i) q^{98} +(3.30520 - 3.30520i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{11}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.16866 + 0.581092i −1.53348 + 0.410894i −0.924152 0.382026i \(-0.875226\pi\)
−0.609326 + 0.792920i \(0.708560\pi\)
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) 2.63339 1.52039i 1.31669 0.760193i
\(5\) 1.87790 1.87790i 0.839823 0.839823i −0.149013 0.988835i \(-0.547610\pi\)
0.988835 + 0.149013i \(0.0476095\pi\)
\(6\) −2.16866 0.581092i −0.885353 0.237230i
\(7\) 1.25762 + 2.32774i 0.475337 + 0.879804i
\(8\) −1.65230 + 1.65230i −0.584177 + 0.584177i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) −2.98130 + 5.16377i −0.942771 + 1.63293i
\(11\) −1.20979 4.51499i −0.364764 1.36132i −0.867740 0.497019i \(-0.834428\pi\)
0.502975 0.864301i \(-0.332239\pi\)
\(12\) 3.04077 0.877795
\(13\) 1.52548 3.26694i 0.423092 0.906087i
\(14\) −4.07999 4.31730i −1.09042 1.15385i
\(15\) 2.56526 0.687359i 0.662347 0.177475i
\(16\) −0.417624 + 0.723346i −0.104406 + 0.180836i
\(17\) −2.18729 3.78849i −0.530495 0.918845i −0.999367 0.0355783i \(-0.988673\pi\)
0.468872 0.883266i \(-0.344661\pi\)
\(18\) −1.58757 1.58757i −0.374194 0.374194i
\(19\) 0.194491 + 0.0521138i 0.0446194 + 0.0119557i 0.281060 0.959690i \(-0.409314\pi\)
−0.236440 + 0.971646i \(0.575981\pi\)
\(20\) 2.09010 7.80037i 0.467361 1.74422i
\(21\) −0.0747386 + 2.64470i −0.0163093 + 0.577120i
\(22\) 5.24724 + 9.08849i 1.11872 + 1.93767i
\(23\) 7.20237 + 4.15829i 1.50180 + 0.867064i 0.999998 + 0.00208060i \(0.000662276\pi\)
0.501801 + 0.864983i \(0.332671\pi\)
\(24\) −2.25709 + 0.604784i −0.460726 + 0.123451i
\(25\) 2.05302i 0.410604i
\(26\) −1.40986 + 7.97134i −0.276497 + 1.56331i
\(27\) 1.00000i 0.192450i
\(28\) 6.85087 + 4.21777i 1.29469 + 0.797084i
\(29\) −5.20380 + 9.01325i −0.966322 + 1.67372i −0.260300 + 0.965528i \(0.583821\pi\)
−0.706022 + 0.708190i \(0.749512\pi\)
\(30\) −5.16377 + 2.98130i −0.942771 + 0.544309i
\(31\) 6.75799 6.75799i 1.21377 1.21377i 0.243995 0.969777i \(-0.421542\pi\)
0.969777 0.243995i \(-0.0784579\pi\)
\(32\) 1.69492 6.32554i 0.299623 1.11821i
\(33\) 1.20979 4.51499i 0.210597 0.785958i
\(34\) 6.94495 + 6.94495i 1.19105 + 1.19105i
\(35\) 6.73296 + 2.00958i 1.13808 + 0.339681i
\(36\) 2.63339 + 1.52039i 0.438898 + 0.253398i
\(37\) 1.22755 + 4.58128i 0.201808 + 0.753158i 0.990399 + 0.138240i \(0.0441444\pi\)
−0.788591 + 0.614919i \(0.789189\pi\)
\(38\) −0.452070 −0.0733354
\(39\) 2.95458 2.06651i 0.473111 0.330907i
\(40\) 6.20572i 0.981210i
\(41\) −0.136339 0.508825i −0.0212926 0.0794651i 0.954462 0.298333i \(-0.0964304\pi\)
−0.975755 + 0.218867i \(0.929764\pi\)
\(42\) −1.37473 5.77889i −0.212125 0.891702i
\(43\) 2.49507 1.44053i 0.380494 0.219678i −0.297539 0.954710i \(-0.596166\pi\)
0.678033 + 0.735031i \(0.262832\pi\)
\(44\) −10.0504 10.0504i −1.51515 1.51515i
\(45\) 2.56526 + 0.687359i 0.382406 + 0.102465i
\(46\) −18.0359 4.83270i −2.65925 0.712543i
\(47\) −0.928461 0.928461i −0.135430 0.135430i 0.636142 0.771572i \(-0.280529\pi\)
−0.771572 + 0.636142i \(0.780529\pi\)
\(48\) −0.723346 + 0.417624i −0.104406 + 0.0602788i
\(49\) −3.83677 + 5.85484i −0.548110 + 0.836406i
\(50\) 1.19299 + 4.45231i 0.168715 + 0.629651i
\(51\) 4.37458i 0.612563i
\(52\) −0.949833 10.9224i −0.131718 1.51467i
\(53\) 1.95082 0.267966 0.133983 0.990984i \(-0.457223\pi\)
0.133983 + 0.990984i \(0.457223\pi\)
\(54\) −0.581092 2.16866i −0.0790766 0.295118i
\(55\) −10.7506 6.20683i −1.44960 0.836929i
\(56\) −5.92410 1.76816i −0.791642 0.236281i
\(57\) 0.142378 + 0.142378i 0.0188584 + 0.0188584i
\(58\) 6.04777 22.5706i 0.794111 2.96366i
\(59\) −1.76081 + 6.57142i −0.229237 + 0.855526i 0.751425 + 0.659819i \(0.229367\pi\)
−0.980662 + 0.195707i \(0.937300\pi\)
\(60\) 5.71027 5.71027i 0.737192 0.737192i
\(61\) −2.13306 + 1.23152i −0.273111 + 0.157681i −0.630300 0.776351i \(-0.717068\pi\)
0.357190 + 0.934032i \(0.383735\pi\)
\(62\) −10.7288 + 18.5828i −1.36256 + 2.36002i
\(63\) −1.38707 + 2.25300i −0.174755 + 0.283852i
\(64\) 13.0324i 1.62905i
\(65\) −3.27029 8.99969i −0.405630 1.11627i
\(66\) 10.4945i 1.29178i
\(67\) −1.40878 + 0.377482i −0.172110 + 0.0461168i −0.343845 0.939026i \(-0.611729\pi\)
0.171735 + 0.985143i \(0.445063\pi\)
\(68\) −11.5199 6.65104i −1.39700 0.806558i
\(69\) 4.15829 + 7.20237i 0.500600 + 0.867064i
\(70\) −15.7693 0.445637i −1.88479 0.0532638i
\(71\) −1.44014 + 5.37468i −0.170913 + 0.637857i 0.826299 + 0.563232i \(0.190442\pi\)
−0.997212 + 0.0746244i \(0.976224\pi\)
\(72\) −2.25709 0.604784i −0.266000 0.0712745i
\(73\) −8.75032 8.75032i −1.02415 1.02415i −0.999701 0.0244465i \(-0.992218\pi\)
−0.0244465 0.999701i \(-0.507782\pi\)
\(74\) −5.32429 9.22194i −0.618936 1.07203i
\(75\) 1.02651 1.77797i 0.118531 0.205302i
\(76\) 0.591404 0.158466i 0.0678387 0.0181773i
\(77\) 8.98827 8.49422i 1.02431 0.968006i
\(78\) −5.20665 + 6.19846i −0.589537 + 0.701837i
\(79\) −4.46495 −0.502346 −0.251173 0.967942i \(-0.580816\pi\)
−0.251173 + 0.967942i \(0.580816\pi\)
\(80\) 0.574115 + 2.14263i 0.0641880 + 0.239553i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 0.591348 + 1.02425i 0.0653035 + 0.113109i
\(83\) 5.42187 5.42187i 0.595128 0.595128i −0.343884 0.939012i \(-0.611743\pi\)
0.939012 + 0.343884i \(0.111743\pi\)
\(84\) 3.82414 + 7.07814i 0.417248 + 0.772288i
\(85\) −11.2219 3.00690i −1.21719 0.326145i
\(86\) −4.57389 + 4.57389i −0.493215 + 0.493215i
\(87\) −9.01325 + 5.20380i −0.966322 + 0.557906i
\(88\) 9.45905 + 5.46119i 1.00834 + 0.582164i
\(89\) −15.0461 + 4.03159i −1.59488 + 0.427347i −0.943492 0.331396i \(-0.892480\pi\)
−0.651390 + 0.758743i \(0.725814\pi\)
\(90\) −5.96261 −0.628514
\(91\) 9.52308 0.557652i 0.998290 0.0584578i
\(92\) 25.2888 2.63654
\(93\) 9.23159 2.47360i 0.957271 0.256500i
\(94\) 2.55304 + 1.47400i 0.263326 + 0.152031i
\(95\) 0.463100 0.267371i 0.0475131 0.0274317i
\(96\) 4.63062 4.63062i 0.472611 0.472611i
\(97\) 2.84925 + 0.763454i 0.289297 + 0.0775170i 0.400549 0.916275i \(-0.368819\pi\)
−0.111252 + 0.993792i \(0.535486\pi\)
\(98\) 4.91847 14.9267i 0.496841 1.50782i
\(99\) 3.30520 3.30520i 0.332185 0.332185i
\(100\) −3.12138 5.40639i −0.312138 0.540639i
\(101\) −0.316767 + 0.548657i −0.0315195 + 0.0545934i −0.881355 0.472455i \(-0.843368\pi\)
0.849835 + 0.527048i \(0.176701\pi\)
\(102\) 2.54203 + 9.48698i 0.251698 + 0.939351i
\(103\) −1.95716 −0.192845 −0.0964223 0.995341i \(-0.530740\pi\)
−0.0964223 + 0.995341i \(0.530740\pi\)
\(104\) 2.87742 + 7.91853i 0.282154 + 0.776475i
\(105\) 4.82612 + 5.10683i 0.470981 + 0.498375i
\(106\) −4.23068 + 1.13361i −0.410920 + 0.110106i
\(107\) −3.59988 + 6.23517i −0.348013 + 0.602777i −0.985896 0.167357i \(-0.946477\pi\)
0.637883 + 0.770133i \(0.279810\pi\)
\(108\) 1.52039 + 2.63339i 0.146299 + 0.253398i
\(109\) −2.42207 2.42207i −0.231992 0.231992i 0.581531 0.813524i \(-0.302454\pi\)
−0.813524 + 0.581531i \(0.802454\pi\)
\(110\) 26.9211 + 7.21348i 2.56682 + 0.687778i
\(111\) −1.22755 + 4.58128i −0.116514 + 0.434836i
\(112\) −2.20898 0.0624252i −0.208729 0.00589863i
\(113\) 0.379755 + 0.657754i 0.0357243 + 0.0618763i 0.883335 0.468743i \(-0.155293\pi\)
−0.847610 + 0.530619i \(0.821960\pi\)
\(114\) −0.391504 0.226035i −0.0366677 0.0211701i
\(115\) 21.3342 5.71648i 1.98942 0.533065i
\(116\) 31.6471i 2.93836i
\(117\) 3.59199 0.312366i 0.332080 0.0288782i
\(118\) 15.2744i 1.40612i
\(119\) 6.06786 9.85594i 0.556239 0.903492i
\(120\) −3.10286 + 5.37431i −0.283251 + 0.490605i
\(121\) −9.39523 + 5.42434i −0.854112 + 0.493122i
\(122\) 3.91027 3.91027i 0.354019 0.354019i
\(123\) 0.136339 0.508825i 0.0122933 0.0458792i
\(124\) 7.52164 28.0712i 0.675464 2.52086i
\(125\) 5.53414 + 5.53414i 0.494988 + 0.494988i
\(126\) 1.69889 5.69203i 0.151349 0.507086i
\(127\) −1.04032 0.600626i −0.0923131 0.0532970i 0.453133 0.891443i \(-0.350306\pi\)
−0.545446 + 0.838146i \(0.683640\pi\)
\(128\) −4.18317 15.6118i −0.369743 1.37990i
\(129\) 2.88106 0.253663
\(130\) 12.3218 + 17.6170i 1.08069 + 1.54511i
\(131\) 3.03417i 0.265097i 0.991177 + 0.132548i \(0.0423160\pi\)
−0.991177 + 0.132548i \(0.957684\pi\)
\(132\) −3.67869 13.7290i −0.320189 1.19496i
\(133\) 0.123289 + 0.518266i 0.0106905 + 0.0449393i
\(134\) 2.83582 1.63726i 0.244978 0.141438i
\(135\) 1.87790 + 1.87790i 0.161624 + 0.161624i
\(136\) 9.87379 + 2.64567i 0.846671 + 0.226865i
\(137\) −11.2793 3.02227i −0.963654 0.258210i −0.257508 0.966276i \(-0.582901\pi\)
−0.706146 + 0.708066i \(0.749568\pi\)
\(138\) −13.2032 13.2032i −1.12393 1.12393i
\(139\) −5.80746 + 3.35294i −0.492582 + 0.284393i −0.725645 0.688069i \(-0.758459\pi\)
0.233063 + 0.972462i \(0.425125\pi\)
\(140\) 20.7858 4.94470i 1.75672 0.417903i
\(141\) −0.339840 1.26830i −0.0286197 0.106810i
\(142\) 12.4927i 1.04837i
\(143\) −16.5957 2.93522i −1.38780 0.245455i
\(144\) −0.835248 −0.0696040
\(145\) 7.15376 + 26.6982i 0.594087 + 2.21716i
\(146\) 24.0612 + 13.8918i 1.99132 + 1.14969i
\(147\) −6.25016 + 3.15206i −0.515505 + 0.259977i
\(148\) 10.1979 + 10.1979i 0.838265 + 0.838265i
\(149\) −1.23932 + 4.62521i −0.101529 + 0.378912i −0.997928 0.0643356i \(-0.979507\pi\)
0.896399 + 0.443248i \(0.146174\pi\)
\(150\) −1.19299 + 4.45231i −0.0974074 + 0.363529i
\(151\) −7.66300 + 7.66300i −0.623606 + 0.623606i −0.946452 0.322845i \(-0.895361\pi\)
0.322845 + 0.946452i \(0.395361\pi\)
\(152\) −0.407466 + 0.235251i −0.0330499 + 0.0190814i
\(153\) 2.18729 3.78849i 0.176832 0.306282i
\(154\) −14.5566 + 23.6441i −1.17301 + 1.90530i
\(155\) 25.3817i 2.03870i
\(156\) 4.63864 9.93403i 0.371388 0.795359i
\(157\) 8.00601i 0.638949i 0.947595 + 0.319475i \(0.103506\pi\)
−0.947595 + 0.319475i \(0.896494\pi\)
\(158\) 9.68297 2.59455i 0.770336 0.206411i
\(159\) 1.68946 + 0.975412i 0.133983 + 0.0773552i
\(160\) −8.69584 15.0616i −0.687467 1.19073i
\(161\) −0.621570 + 21.9948i −0.0489865 + 1.73344i
\(162\) 0.581092 2.16866i 0.0456549 0.170386i
\(163\) 18.3794 + 4.92475i 1.43959 + 0.385736i 0.892389 0.451266i \(-0.149028\pi\)
0.547199 + 0.837003i \(0.315694\pi\)
\(164\) −1.13264 1.13264i −0.0884447 0.0884447i
\(165\) −6.20683 10.7506i −0.483201 0.836929i
\(166\) −8.60761 + 14.9088i −0.668080 + 1.15715i
\(167\) −10.5127 + 2.81688i −0.813500 + 0.217977i −0.641503 0.767121i \(-0.721689\pi\)
−0.171997 + 0.985097i \(0.555022\pi\)
\(168\) −4.24634 4.49333i −0.327613 0.346668i
\(169\) −8.34582 9.96731i −0.641986 0.766716i
\(170\) 26.0839 2.00054
\(171\) 0.0521138 + 0.194491i 0.00398524 + 0.0148731i
\(172\) 4.38032 7.58693i 0.333996 0.578498i
\(173\) −4.07283 7.05435i −0.309651 0.536332i 0.668635 0.743591i \(-0.266879\pi\)
−0.978286 + 0.207259i \(0.933546\pi\)
\(174\) 16.5228 16.5228i 1.25259 1.25259i
\(175\) 4.77890 2.58192i 0.361251 0.195175i
\(176\) 3.77113 + 1.01047i 0.284260 + 0.0761672i
\(177\) −4.81061 + 4.81061i −0.361588 + 0.361588i
\(178\) 30.2872 17.4863i 2.27012 1.31065i
\(179\) 10.2340 + 5.90863i 0.764928 + 0.441631i 0.831062 0.556179i \(-0.187733\pi\)
−0.0661342 + 0.997811i \(0.521067\pi\)
\(180\) 7.80037 2.09010i 0.581405 0.155787i
\(181\) 10.4995 0.780423 0.390212 0.920725i \(-0.372402\pi\)
0.390212 + 0.920725i \(0.372402\pi\)
\(182\) −20.3283 + 6.74314i −1.50683 + 0.499835i
\(183\) −2.46305 −0.182074
\(184\) −18.7712 + 5.02974i −1.38383 + 0.370797i
\(185\) 10.9084 + 6.29797i 0.802002 + 0.463036i
\(186\) −18.5828 + 10.7288i −1.36256 + 0.786674i
\(187\) −14.4588 + 14.4588i −1.05734 + 1.05734i
\(188\) −3.85661 1.03338i −0.281272 0.0753667i
\(189\) −2.32774 + 1.25762i −0.169318 + 0.0914786i
\(190\) −0.848942 + 0.848942i −0.0615887 + 0.0615887i
\(191\) −6.67464 11.5608i −0.482960 0.836511i 0.516849 0.856077i \(-0.327105\pi\)
−0.999809 + 0.0195655i \(0.993772\pi\)
\(192\) −6.51620 + 11.2864i −0.470266 + 0.814525i
\(193\) −2.08783 7.79189i −0.150285 0.560872i −0.999463 0.0327652i \(-0.989569\pi\)
0.849178 0.528107i \(-0.177098\pi\)
\(194\) −6.62270 −0.475482
\(195\) 1.66769 9.42911i 0.119426 0.675232i
\(196\) −1.20208 + 21.2514i −0.0858631 + 1.51796i
\(197\) −12.2629 + 3.28585i −0.873699 + 0.234107i −0.667686 0.744443i \(-0.732715\pi\)
−0.206012 + 0.978549i \(0.566049\pi\)
\(198\) −5.24724 + 9.08849i −0.372905 + 0.645891i
\(199\) −10.8366 18.7696i −0.768188 1.33054i −0.938544 0.345158i \(-0.887825\pi\)
0.170356 0.985383i \(-0.445508\pi\)
\(200\) 3.39221 + 3.39221i 0.239865 + 0.239865i
\(201\) −1.40878 0.377482i −0.0993678 0.0266255i
\(202\) 0.368142 1.37392i 0.0259024 0.0966689i
\(203\) −27.5249 0.777849i −1.93187 0.0545943i
\(204\) −6.65104 11.5199i −0.465666 0.806558i
\(205\) −1.21155 0.699491i −0.0846186 0.0488546i
\(206\) 4.24442 1.13729i 0.295723 0.0792387i
\(207\) 8.31658i 0.578043i
\(208\) 1.72605 + 2.46780i 0.119680 + 0.171111i
\(209\) 0.941173i 0.0651023i
\(210\) −13.4338 8.27057i −0.927019 0.570724i
\(211\) 6.50914 11.2742i 0.448108 0.776145i −0.550155 0.835062i \(-0.685431\pi\)
0.998263 + 0.0589170i \(0.0187647\pi\)
\(212\) 5.13727 2.96601i 0.352829 0.203706i
\(213\) −3.93454 + 3.93454i −0.269590 + 0.269590i
\(214\) 4.18372 15.6138i 0.285993 1.06734i
\(215\) 1.98032 7.39066i 0.135057 0.504039i
\(216\) −1.65230 1.65230i −0.112425 0.112425i
\(217\) 24.2299 + 7.23187i 1.64483 + 0.490931i
\(218\) 6.66011 + 3.84521i 0.451079 + 0.260431i
\(219\) −3.20284 11.9532i −0.216428 0.807720i
\(220\) −37.7471 −2.54491
\(221\) −15.7135 + 1.36647i −1.05700 + 0.0919186i
\(222\) 10.6486i 0.714686i
\(223\) −4.38178 16.3530i −0.293426 1.09508i −0.942460 0.334320i \(-0.891493\pi\)
0.649034 0.760759i \(-0.275173\pi\)
\(224\) 16.8558 4.00980i 1.12623 0.267916i
\(225\) 1.77797 1.02651i 0.118531 0.0684340i
\(226\) −1.20578 1.20578i −0.0802070 0.0802070i
\(227\) 18.2910 + 4.90106i 1.21402 + 0.325295i 0.808336 0.588721i \(-0.200368\pi\)
0.405679 + 0.914015i \(0.367035\pi\)
\(228\) 0.591404 + 0.158466i 0.0391667 + 0.0104947i
\(229\) 0.181433 + 0.181433i 0.0119894 + 0.0119894i 0.713076 0.701087i \(-0.247301\pi\)
−0.701087 + 0.713076i \(0.747301\pi\)
\(230\) −42.9449 + 24.7943i −2.83170 + 1.63488i
\(231\) 12.0312 2.86207i 0.791594 0.188311i
\(232\) −6.29435 23.4909i −0.413245 1.54225i
\(233\) 11.3848i 0.745842i 0.927863 + 0.372921i \(0.121644\pi\)
−0.927863 + 0.372921i \(0.878356\pi\)
\(234\) −7.60832 + 2.76470i −0.497371 + 0.180734i
\(235\) −3.48711 −0.227474
\(236\) 5.35421 + 19.9822i 0.348529 + 1.30073i
\(237\) −3.86676 2.23247i −0.251173 0.145015i
\(238\) −7.43194 + 24.9002i −0.481741 + 1.61404i
\(239\) −12.2181 12.2181i −0.790322 0.790322i 0.191224 0.981546i \(-0.438754\pi\)
−0.981546 + 0.191224i \(0.938754\pi\)
\(240\) −0.574115 + 2.14263i −0.0370590 + 0.138306i
\(241\) −7.89185 + 29.4528i −0.508359 + 1.89722i −0.0721047 + 0.997397i \(0.522972\pi\)
−0.436254 + 0.899824i \(0.643695\pi\)
\(242\) 17.2231 17.2231i 1.10714 1.10714i
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) −3.74479 + 6.48616i −0.239735 + 0.415234i
\(245\) 3.78973 + 18.1999i 0.242117 + 1.16275i
\(246\) 1.18270i 0.0754060i
\(247\) 0.466946 0.555894i 0.0297111 0.0353707i
\(248\) 22.3325i 1.41811i
\(249\) 7.40641 1.98454i 0.469362 0.125765i
\(250\) −15.2175 8.78584i −0.962441 0.555666i
\(251\) 5.46171 + 9.45996i 0.344740 + 0.597107i 0.985307 0.170795i \(-0.0546337\pi\)
−0.640566 + 0.767903i \(0.721300\pi\)
\(252\) −0.227263 + 8.04192i −0.0143162 + 0.506593i
\(253\) 10.0613 37.5493i 0.632548 2.36070i
\(254\) 2.60511 + 0.698038i 0.163459 + 0.0437988i
\(255\) −8.21502 8.21502i −0.514444 0.514444i
\(256\) 5.11138 + 8.85317i 0.319461 + 0.553323i
\(257\) 14.2035 24.6012i 0.885991 1.53458i 0.0414174 0.999142i \(-0.486813\pi\)
0.844574 0.535439i \(-0.179854\pi\)
\(258\) −6.24804 + 1.67416i −0.388986 + 0.104229i
\(259\) −9.12025 + 8.61895i −0.566705 + 0.535555i
\(260\) −22.2949 18.7276i −1.38267 1.16143i
\(261\) −10.4076 −0.644214
\(262\) −1.76313 6.58009i −0.108927 0.406520i
\(263\) 10.8579 18.8064i 0.669526 1.15965i −0.308510 0.951221i \(-0.599830\pi\)
0.978037 0.208433i \(-0.0668363\pi\)
\(264\) 5.46119 + 9.45905i 0.336113 + 0.582164i
\(265\) 3.66345 3.66345i 0.225044 0.225044i
\(266\) −0.568533 1.05230i −0.0348590 0.0645208i
\(267\) −15.0461 4.03159i −0.920805 0.246729i
\(268\) −3.13595 + 3.13595i −0.191559 + 0.191559i
\(269\) −10.7149 + 6.18625i −0.653298 + 0.377182i −0.789719 0.613469i \(-0.789774\pi\)
0.136420 + 0.990651i \(0.456440\pi\)
\(270\) −5.16377 2.98130i −0.314257 0.181436i
\(271\) 7.64449 2.04834i 0.464370 0.124427i −0.0190456 0.999819i \(-0.506063\pi\)
0.483415 + 0.875391i \(0.339396\pi\)
\(272\) 3.65385 0.221547
\(273\) 8.52605 + 4.27860i 0.516020 + 0.258953i
\(274\) 26.2172 1.58384
\(275\) −9.26935 + 2.48371i −0.558963 + 0.149774i
\(276\) 21.9008 + 12.6444i 1.31827 + 0.761105i
\(277\) 9.70888 5.60543i 0.583350 0.336797i −0.179113 0.983828i \(-0.557323\pi\)
0.762464 + 0.647031i \(0.223990\pi\)
\(278\) 10.6461 10.6461i 0.638509 0.638509i
\(279\) 9.23159 + 2.47360i 0.552681 + 0.148090i
\(280\) −14.4453 + 7.80445i −0.863272 + 0.466405i
\(281\) −15.1948 + 15.1948i −0.906448 + 0.906448i −0.995984 0.0895355i \(-0.971462\pi\)
0.0895355 + 0.995984i \(0.471462\pi\)
\(282\) 1.47400 + 2.55304i 0.0877753 + 0.152031i
\(283\) −7.64747 + 13.2458i −0.454595 + 0.787382i −0.998665 0.0516583i \(-0.983549\pi\)
0.544070 + 0.839040i \(0.316883\pi\)
\(284\) 4.37914 + 16.3432i 0.259854 + 0.969789i
\(285\) 0.534742 0.0316754
\(286\) 37.6961 3.27812i 2.22902 0.193839i
\(287\) 1.01295 0.957272i 0.0597926 0.0565060i
\(288\) 6.32554 1.69492i 0.372736 0.0998744i
\(289\) −1.06845 + 1.85062i −0.0628502 + 0.108860i
\(290\) −31.0282 53.7424i −1.82204 3.15586i
\(291\) 2.08580 + 2.08580i 0.122271 + 0.122271i
\(292\) −36.3468 9.73911i −2.12704 0.569938i
\(293\) −5.44000 + 20.3023i −0.317808 + 1.18608i 0.603539 + 0.797334i \(0.293757\pi\)
−0.921347 + 0.388742i \(0.872910\pi\)
\(294\) 11.7229 10.4677i 0.683692 0.610487i
\(295\) 9.03385 + 15.6471i 0.525971 + 0.911009i
\(296\) −9.59795 5.54138i −0.557869 0.322086i
\(297\) 4.51499 1.20979i 0.261986 0.0701989i
\(298\) 10.7507i 0.622771i
\(299\) 24.5720 17.1863i 1.42103 0.993912i
\(300\) 6.24276i 0.360426i
\(301\) 6.49103 + 3.99624i 0.374137 + 0.230339i
\(302\) 12.1656 21.0714i 0.700050 1.21252i
\(303\) −0.548657 + 0.316767i −0.0315195 + 0.0181978i
\(304\) −0.118921 + 0.118921i −0.00682057 + 0.00682057i
\(305\) −1.69300 + 6.31836i −0.0969409 + 0.361788i
\(306\) −2.54203 + 9.48698i −0.145318 + 0.542335i
\(307\) 12.7905 + 12.7905i 0.729995 + 0.729995i 0.970618 0.240624i \(-0.0773520\pi\)
−0.240624 + 0.970618i \(0.577352\pi\)
\(308\) 10.7551 36.0342i 0.612828 2.05324i
\(309\) −1.69495 0.978579i −0.0964223 0.0556694i
\(310\) 14.7491 + 55.0443i 0.837692 + 3.12631i
\(311\) 19.5517 1.10868 0.554338 0.832292i \(-0.312972\pi\)
0.554338 + 0.832292i \(0.312972\pi\)
\(312\) −1.46735 + 8.29636i −0.0830721 + 0.469689i
\(313\) 13.2495i 0.748904i 0.927246 + 0.374452i \(0.122169\pi\)
−0.927246 + 0.374452i \(0.877831\pi\)
\(314\) −4.65223 17.3624i −0.262540 0.979814i
\(315\) 1.62613 + 6.83570i 0.0916222 + 0.385148i
\(316\) −11.7579 + 6.78845i −0.661435 + 0.381880i
\(317\) 17.8861 + 17.8861i 1.00458 + 1.00458i 0.999989 + 0.00459262i \(0.00146188\pi\)
0.00459262 + 0.999989i \(0.498538\pi\)
\(318\) −4.23068 1.13361i −0.237245 0.0635696i
\(319\) 46.9902 + 12.5910i 2.63094 + 0.704959i
\(320\) 24.4735 + 24.4735i 1.36811 + 1.36811i
\(321\) −6.23517 + 3.59988i −0.348013 + 0.200926i
\(322\) −11.4330 48.0606i −0.637139 2.67831i
\(323\) −0.227976 0.850818i −0.0126849 0.0473408i
\(324\) 3.04077i 0.168932i
\(325\) −6.70709 3.13184i −0.372043 0.173723i
\(326\) −42.7206 −2.36607
\(327\) −0.886540 3.30861i −0.0490258 0.182967i
\(328\) 1.06601 + 0.615459i 0.0588603 + 0.0339830i
\(329\) 0.993565 3.32887i 0.0547770 0.183527i
\(330\) 19.7076 + 19.7076i 1.08487 + 1.08487i
\(331\) −3.51837 + 13.1307i −0.193387 + 0.721731i 0.799291 + 0.600944i \(0.205208\pi\)
−0.992678 + 0.120787i \(0.961458\pi\)
\(332\) 6.03454 22.5212i 0.331189 1.23601i
\(333\) −3.35373 + 3.35373i −0.183783 + 0.183783i
\(334\) 21.1617 12.2177i 1.15792 0.668524i
\(335\) −1.93668 + 3.35443i −0.105812 + 0.183272i
\(336\) −1.88182 1.15855i −0.102662 0.0632041i
\(337\) 1.75678i 0.0956980i −0.998855 0.0478490i \(-0.984763\pi\)
0.998855 0.0478490i \(-0.0152366\pi\)
\(338\) 23.8912 + 16.7661i 1.29951 + 0.911954i
\(339\) 0.759509i 0.0412509i
\(340\) −34.1233 + 9.14331i −1.85060 + 0.495866i
\(341\) −38.6880 22.3365i −2.09507 1.20959i
\(342\) −0.226035 0.391504i −0.0122226 0.0211701i
\(343\) −18.4538 1.56784i −0.996410 0.0846554i
\(344\) −1.74242 + 6.50279i −0.0939449 + 0.350607i
\(345\) 21.3342 + 5.71648i 1.14859 + 0.307765i
\(346\) 12.9318 + 12.9318i 0.695219 + 0.695219i
\(347\) 5.43920 + 9.42098i 0.291992 + 0.505744i 0.974281 0.225338i \(-0.0723487\pi\)
−0.682289 + 0.731083i \(0.739015\pi\)
\(348\) −15.8236 + 27.4072i −0.848233 + 1.46918i
\(349\) 11.9450 3.20064i 0.639399 0.171326i 0.0754676 0.997148i \(-0.475955\pi\)
0.563931 + 0.825822i \(0.309288\pi\)
\(350\) −8.86349 + 8.37630i −0.473774 + 0.447732i
\(351\) 3.26694 + 1.52548i 0.174376 + 0.0814241i
\(352\) −30.6102 −1.63153
\(353\) −4.55715 17.0075i −0.242552 0.905218i −0.974598 0.223962i \(-0.928101\pi\)
0.732045 0.681256i \(-0.238566\pi\)
\(354\) 7.63720 13.2280i 0.405912 0.703061i
\(355\) 7.38867 + 12.7975i 0.392150 + 0.679223i
\(356\) −33.4926 + 33.4926i −1.77510 + 1.77510i
\(357\) 10.1829 5.50156i 0.538935 0.291174i
\(358\) −25.6277 6.86691i −1.35446 0.362927i
\(359\) 11.4993 11.4993i 0.606911 0.606911i −0.335227 0.942137i \(-0.608813\pi\)
0.942137 + 0.335227i \(0.108813\pi\)
\(360\) −5.37431 + 3.10286i −0.283251 + 0.163535i
\(361\) −16.4194 9.47973i −0.864177 0.498933i
\(362\) −22.7699 + 6.10119i −1.19676 + 0.320671i
\(363\) −10.8487 −0.569408
\(364\) 24.2301 15.9473i 1.27000 0.835864i
\(365\) −32.8645 −1.72020
\(366\) 5.34153 1.43126i 0.279206 0.0748130i
\(367\) 11.3884 + 6.57510i 0.594470 + 0.343217i 0.766863 0.641811i \(-0.221817\pi\)
−0.172393 + 0.985028i \(0.555150\pi\)
\(368\) −6.01577 + 3.47320i −0.313594 + 0.181053i
\(369\) 0.372486 0.372486i 0.0193908 0.0193908i
\(370\) −27.3164 7.31940i −1.42011 0.380518i
\(371\) 2.45340 + 4.54102i 0.127374 + 0.235758i
\(372\) 20.5495 20.5495i 1.06544 1.06544i
\(373\) 4.81532 + 8.34037i 0.249328 + 0.431848i 0.963339 0.268286i \(-0.0864571\pi\)
−0.714012 + 0.700134i \(0.753124\pi\)
\(374\) 22.9545 39.7583i 1.18695 2.05585i
\(375\) 2.02563 + 7.55977i 0.104603 + 0.390385i
\(376\) 3.06819 0.158230
\(377\) 21.5075 + 30.7500i 1.10769 + 1.58371i
\(378\) 4.31730 4.07999i 0.222058 0.209852i
\(379\) −32.1516 + 8.61500i −1.65152 + 0.442523i −0.960037 0.279872i \(-0.909708\pi\)
−0.691481 + 0.722395i \(0.743041\pi\)
\(380\) 0.813014 1.40818i 0.0417068 0.0722382i
\(381\) −0.600626 1.04032i −0.0307710 0.0532970i
\(382\) 21.1930 + 21.1930i 1.08433 + 1.08433i
\(383\) 3.73221 + 1.00004i 0.190707 + 0.0510998i 0.352908 0.935658i \(-0.385193\pi\)
−0.162201 + 0.986758i \(0.551859\pi\)
\(384\) 4.18317 15.6118i 0.213471 0.796686i
\(385\) 0.927780 32.8304i 0.0472840 1.67319i
\(386\) 9.05560 + 15.6848i 0.460918 + 0.798334i
\(387\) 2.49507 + 1.44053i 0.126831 + 0.0732262i
\(388\) 8.66392 2.32149i 0.439844 0.117856i
\(389\) 12.5816i 0.637911i 0.947770 + 0.318955i \(0.103332\pi\)
−0.947770 + 0.318955i \(0.896668\pi\)
\(390\) 1.86251 + 21.4176i 0.0943121 + 1.08452i
\(391\) 36.3815i 1.83989i
\(392\) −3.33446 16.0135i −0.168416 0.808802i
\(393\) −1.51708 + 2.62767i −0.0765268 + 0.132548i
\(394\) 24.6848 14.2518i 1.24360 0.717995i
\(395\) −8.38473 + 8.38473i −0.421881 + 0.421881i
\(396\) 3.67869 13.7290i 0.184861 0.689910i
\(397\) 6.87160 25.6452i 0.344876 1.28709i −0.547882 0.836556i \(-0.684566\pi\)
0.892757 0.450538i \(-0.148768\pi\)
\(398\) 34.4079 + 34.4079i 1.72471 + 1.72471i
\(399\) −0.152361 + 0.510476i −0.00762760 + 0.0255558i
\(400\) 1.48504 + 0.857390i 0.0742521 + 0.0428695i
\(401\) −3.89519 14.5370i −0.194517 0.725946i −0.992391 0.123123i \(-0.960709\pi\)
0.797875 0.602823i \(-0.205957\pi\)
\(402\) 3.27453 0.163319
\(403\) −11.7688 32.3872i −0.586245 1.61332i
\(404\) 1.92643i 0.0958437i
\(405\) 0.687359 + 2.56526i 0.0341552 + 0.127469i
\(406\) 60.1443 14.3076i 2.98491 0.710075i
\(407\) 19.1994 11.0848i 0.951676 0.549451i
\(408\) 7.22812 + 7.22812i 0.357845 + 0.357845i
\(409\) −23.9970 6.42996i −1.18657 0.317941i −0.389042 0.921220i \(-0.627194\pi\)
−0.797531 + 0.603279i \(0.793861\pi\)
\(410\) 3.03392 + 0.812937i 0.149835 + 0.0401481i
\(411\) −8.25701 8.25701i −0.407288 0.407288i
\(412\) −5.15395 + 2.97564i −0.253917 + 0.146599i
\(413\) −17.5110 + 4.16566i −0.861660 + 0.204979i
\(414\) −4.83270 18.0359i −0.237514 0.886415i
\(415\) 20.3635i 0.999603i
\(416\) −18.0796 15.1867i −0.886426 0.744590i
\(417\) −6.70588 −0.328388
\(418\) 0.546908 + 2.04109i 0.0267501 + 0.0998329i
\(419\) −15.5289 8.96562i −0.758637 0.437999i 0.0701691 0.997535i \(-0.477646\pi\)
−0.828806 + 0.559536i \(0.810979\pi\)
\(420\) 20.4734 + 6.11067i 0.998999 + 0.298170i
\(421\) 0.833811 + 0.833811i 0.0406375 + 0.0406375i 0.727134 0.686496i \(-0.240852\pi\)
−0.686496 + 0.727134i \(0.740852\pi\)
\(422\) −7.56482 + 28.2323i −0.368250 + 1.37433i
\(423\) 0.339840 1.26830i 0.0165236 0.0616669i
\(424\) −3.22335 + 3.22335i −0.156540 + 0.156540i
\(425\) −7.77785 + 4.49054i −0.377281 + 0.217823i
\(426\) 6.24636 10.8190i 0.302637 0.524183i
\(427\) −5.54926 3.41643i −0.268547 0.165333i
\(428\) 21.8928i 1.05823i
\(429\) −12.9047 10.8398i −0.623044 0.523352i
\(430\) 17.1786i 0.828426i
\(431\) 13.4572 3.60584i 0.648209 0.173687i 0.0802899 0.996772i \(-0.474415\pi\)
0.567919 + 0.823085i \(0.307749\pi\)
\(432\) −0.723346 0.417624i −0.0348020 0.0200929i
\(433\) 0.380141 + 0.658423i 0.0182684 + 0.0316418i 0.875015 0.484096i \(-0.160851\pi\)
−0.856747 + 0.515737i \(0.827518\pi\)
\(434\) −56.7488 1.60371i −2.72403 0.0769806i
\(435\) −7.15376 + 26.6982i −0.342997 + 1.28008i
\(436\) −10.0607 2.69577i −0.481822 0.129104i
\(437\) 1.18410 + 1.18410i 0.0566430 + 0.0566430i
\(438\) 13.8918 + 24.0612i 0.663774 + 1.14969i
\(439\) −15.9560 + 27.6366i −0.761539 + 1.31902i 0.180518 + 0.983572i \(0.442223\pi\)
−0.942057 + 0.335453i \(0.891111\pi\)
\(440\) 28.0187 7.50759i 1.33574 0.357910i
\(441\) −6.98883 0.395322i −0.332801 0.0188248i
\(442\) 33.2832 12.0944i 1.58312 0.575270i
\(443\) 13.9082 0.660799 0.330399 0.943841i \(-0.392817\pi\)
0.330399 + 0.943841i \(0.392817\pi\)
\(444\) 3.73270 + 13.9306i 0.177146 + 0.661119i
\(445\) −20.6841 + 35.8260i −0.980522 + 1.69831i
\(446\) 19.0052 + 32.9180i 0.899923 + 1.55871i
\(447\) −3.38589 + 3.38589i −0.160147 + 0.160147i
\(448\) −30.3361 + 16.3898i −1.43324 + 0.774347i
\(449\) 37.3413 + 10.0056i 1.76224 + 0.472192i 0.987169 0.159677i \(-0.0510451\pi\)
0.775075 + 0.631869i \(0.217712\pi\)
\(450\) −3.25932 + 3.25932i −0.153646 + 0.153646i
\(451\) −2.13240 + 1.23114i −0.100411 + 0.0579721i
\(452\) 2.00008 + 1.15475i 0.0940759 + 0.0543148i
\(453\) −10.4679 + 2.80485i −0.491823 + 0.131784i
\(454\) −42.5150 −1.99533
\(455\) 16.8362 18.9306i 0.789292 0.887481i
\(456\) −0.470502 −0.0220333
\(457\) −11.2913 + 3.02549i −0.528183 + 0.141526i −0.513049 0.858359i \(-0.671484\pi\)
−0.0151341 + 0.999885i \(0.504818\pi\)
\(458\) −0.498897 0.288038i −0.0233119 0.0134591i
\(459\) 3.78849 2.18729i 0.176832 0.102094i
\(460\) 47.4899 47.4899i 2.21423 2.21423i
\(461\) −33.0727 8.86180i −1.54035 0.412735i −0.613971 0.789329i \(-0.710429\pi\)
−0.926379 + 0.376594i \(0.877095\pi\)
\(462\) −24.4285 + 13.1981i −1.13651 + 0.614031i
\(463\) −18.1263 + 18.1263i −0.842399 + 0.842399i −0.989170 0.146772i \(-0.953112\pi\)
0.146772 + 0.989170i \(0.453112\pi\)
\(464\) −4.34646 7.52830i −0.201780 0.349492i
\(465\) 12.6908 21.9812i 0.588523 1.01935i
\(466\) −6.61561 24.6898i −0.306462 1.14373i
\(467\) 20.4427 0.945975 0.472988 0.881069i \(-0.343176\pi\)
0.472988 + 0.881069i \(0.343176\pi\)
\(468\) 8.98419 6.28380i 0.415294 0.290469i
\(469\) −2.65040 2.80455i −0.122384 0.129502i
\(470\) 7.56238 2.02633i 0.348826 0.0934678i
\(471\) −4.00301 + 6.93341i −0.184449 + 0.319475i
\(472\) −7.94858 13.7673i −0.365863 0.633694i
\(473\) −9.52246 9.52246i −0.437843 0.437843i
\(474\) 9.68297 + 2.59455i 0.444754 + 0.119171i
\(475\) 0.106991 0.399295i 0.00490907 0.0183209i
\(476\) 0.994179 35.1800i 0.0455681 1.61247i
\(477\) 0.975412 + 1.68946i 0.0446611 + 0.0773552i
\(478\) 33.5967 + 19.3971i 1.53668 + 0.887202i
\(479\) 11.4241 3.06108i 0.521980 0.139864i 0.0117979 0.999930i \(-0.496245\pi\)
0.510182 + 0.860066i \(0.329578\pi\)
\(480\) 17.3917i 0.793818i
\(481\) 16.8394 + 2.97832i 0.767810 + 0.135800i
\(482\) 68.4591i 3.11823i
\(483\) −11.5357 + 18.7373i −0.524893 + 0.852577i
\(484\) −16.4942 + 28.5688i −0.749736 + 1.29858i
\(485\) 6.78430 3.91692i 0.308059 0.177858i
\(486\) 1.58757 1.58757i 0.0720137 0.0720137i
\(487\) 0.0483236 0.180346i 0.00218975 0.00817226i −0.964822 0.262903i \(-0.915320\pi\)
0.967012 + 0.254731i \(0.0819868\pi\)
\(488\) 1.48961 5.55931i 0.0674316 0.251658i
\(489\) 13.4547 + 13.4547i 0.608442 + 0.608442i
\(490\) −18.7945 37.2673i −0.849047 1.68356i
\(491\) −2.43785 1.40749i −0.110019 0.0635193i 0.443981 0.896036i \(-0.353566\pi\)
−0.554000 + 0.832517i \(0.686899\pi\)
\(492\) −0.414577 1.54722i −0.0186906 0.0697541i
\(493\) 45.5288 2.05052
\(494\) −0.689624 + 1.47689i −0.0310276 + 0.0664482i
\(495\) 12.4137i 0.557953i
\(496\) 2.06607 + 7.71067i 0.0927691 + 0.346219i
\(497\) −14.3220 + 3.40704i −0.642430 + 0.152826i
\(498\) −14.9088 + 8.60761i −0.668080 + 0.385716i
\(499\) 1.80207 + 1.80207i 0.0806719 + 0.0806719i 0.746291 0.665619i \(-0.231833\pi\)
−0.665619 + 0.746291i \(0.731833\pi\)
\(500\) 22.9875 + 6.15949i 1.02803 + 0.275461i
\(501\) −10.5127 2.81688i −0.469674 0.125849i
\(502\) −17.3417 17.3417i −0.773999 0.773999i
\(503\) −6.33177 + 3.65565i −0.282320 + 0.162997i −0.634473 0.772945i \(-0.718783\pi\)
0.352153 + 0.935942i \(0.385450\pi\)
\(504\) −1.43078 6.01451i −0.0637320 0.267907i
\(505\) 0.435466 + 1.62518i 0.0193780 + 0.0723196i
\(506\) 87.2783i 3.87999i
\(507\) −2.24403 12.8049i −0.0996610 0.568684i
\(508\) −3.65274 −0.162064
\(509\) −6.75398 25.2062i −0.299365 1.11724i −0.937689 0.347477i \(-0.887039\pi\)
0.638324 0.769768i \(-0.279628\pi\)
\(510\) 22.5893 + 13.0419i 1.00027 + 0.577506i
\(511\) 9.36390 31.3731i 0.414234 1.38786i
\(512\) 6.62788 + 6.62788i 0.292914 + 0.292914i
\(513\) −0.0521138 + 0.194491i −0.00230088 + 0.00858701i
\(514\) −16.5071 + 61.6053i −0.728097 + 2.71729i
\(515\) −3.67535 + 3.67535i −0.161955 + 0.161955i
\(516\) 7.58693 4.38032i 0.333996 0.192833i
\(517\) −3.06875 + 5.31523i −0.134963 + 0.233763i
\(518\) 14.7704 23.9913i 0.648973 1.05412i
\(519\) 8.14566i 0.357555i
\(520\) 20.2737 + 9.46670i 0.889061 + 0.415142i
\(521\) 5.50223i 0.241057i −0.992710 0.120529i \(-0.961541\pi\)
0.992710 0.120529i \(-0.0384589\pi\)
\(522\) 22.5706 6.04777i 0.987888 0.264704i
\(523\) 35.0507 + 20.2365i 1.53266 + 0.884882i 0.999238 + 0.0390336i \(0.0124279\pi\)
0.533423 + 0.845849i \(0.320905\pi\)
\(524\) 4.61311 + 7.99014i 0.201525 + 0.349051i
\(525\) 5.42961 + 0.153440i 0.236968 + 0.00669666i
\(526\) −12.6189 + 47.0943i −0.550209 + 2.05341i
\(527\) −40.3843 10.8209i −1.75917 0.471367i
\(528\) 2.76066 + 2.76066i 0.120142 + 0.120142i
\(529\) 23.0828 + 39.9806i 1.00360 + 1.73829i
\(530\) −5.81600 + 10.0736i −0.252631 + 0.437569i
\(531\) −6.57142 + 1.76081i −0.285175 + 0.0764125i
\(532\) 1.11263 + 1.17735i 0.0482387 + 0.0510444i
\(533\) −1.87028 0.330790i −0.0810110 0.0143281i
\(534\) 34.9726 1.51341
\(535\) 4.94882 + 18.4692i 0.213956 + 0.798495i
\(536\) 1.70402 2.95145i 0.0736024 0.127483i
\(537\) 5.90863 + 10.2340i 0.254976 + 0.441631i
\(538\) 19.6422 19.6422i 0.846836 0.846836i
\(539\) 31.0762 + 10.2399i 1.33855 + 0.441062i
\(540\) 7.80037 + 2.09010i 0.335674 + 0.0899437i
\(541\) 25.7367 25.7367i 1.10651 1.10651i 0.112900 0.993606i \(-0.463986\pi\)
0.993606 0.112900i \(-0.0360139\pi\)
\(542\) −15.3881 + 8.88430i −0.660974 + 0.381613i
\(543\) 9.09285 + 5.24976i 0.390212 + 0.225289i
\(544\) −27.6716 + 7.41457i −1.18641 + 0.317897i
\(545\) −9.09682 −0.389665
\(546\) −20.9764 4.32442i −0.897707 0.185068i
\(547\) 31.3852 1.34193 0.670967 0.741487i \(-0.265879\pi\)
0.670967 + 0.741487i \(0.265879\pi\)
\(548\) −34.2977 + 9.19005i −1.46513 + 0.392579i
\(549\) −2.13306 1.23152i −0.0910369 0.0525602i
\(550\) 18.6588 10.7727i 0.795616 0.459349i
\(551\) −1.48181 + 1.48181i −0.0631272 + 0.0631272i
\(552\) −18.7712 5.02974i −0.798957 0.214080i
\(553\) −5.61522 10.3933i −0.238783 0.441966i
\(554\) −17.7980 + 17.7980i −0.756166 + 0.756166i
\(555\) 6.29797 + 10.9084i 0.267334 + 0.463036i
\(556\) −10.1955 + 17.6592i −0.432387 + 0.748916i
\(557\) −0.169733 0.633453i −0.00719183 0.0268403i 0.962237 0.272214i \(-0.0877559\pi\)
−0.969429 + 0.245374i \(0.921089\pi\)
\(558\) −21.4576 −0.908373
\(559\) −0.899944 10.3487i −0.0380636 0.437705i
\(560\) −4.26547 + 4.03101i −0.180249 + 0.170341i
\(561\) −19.7511 + 5.29230i −0.833894 + 0.223441i
\(562\) 24.1229 41.7821i 1.01756 1.76247i
\(563\) 12.5830 + 21.7944i 0.530309 + 0.918523i 0.999375 + 0.0353593i \(0.0112576\pi\)
−0.469065 + 0.883164i \(0.655409\pi\)
\(564\) −2.82324 2.82324i −0.118880 0.118880i
\(565\) 1.94834 + 0.522056i 0.0819672 + 0.0219630i
\(566\) 8.88777 33.1696i 0.373581 1.39422i
\(567\) −2.64470 0.0747386i −0.111067 0.00313872i
\(568\) −6.50104 11.2601i −0.272778 0.472465i
\(569\) −3.46005 1.99766i −0.145053 0.0837463i 0.425717 0.904856i \(-0.360022\pi\)
−0.570770 + 0.821110i \(0.693355\pi\)
\(570\) −1.15968 + 0.310734i −0.0485735 + 0.0130152i
\(571\) 17.9370i 0.750640i −0.926895 0.375320i \(-0.877533\pi\)
0.926895 0.375320i \(-0.122467\pi\)
\(572\) −48.1656 + 17.5023i −2.01390 + 0.731808i
\(573\) 13.3493i 0.557674i
\(574\) −1.64049 + 2.66462i −0.0684726 + 0.111219i
\(575\) 8.53705 14.7866i 0.356020 0.616644i
\(576\) −11.2864 + 6.51620i −0.470266 + 0.271508i
\(577\) −29.6210 + 29.6210i −1.23314 + 1.23314i −0.270389 + 0.962751i \(0.587152\pi\)
−0.962751 + 0.270389i \(0.912848\pi\)
\(578\) 1.24174 4.63424i 0.0516496 0.192759i
\(579\) 2.08783 7.79189i 0.0867672 0.323820i
\(580\) 59.4302 + 59.4302i 2.46770 + 2.46770i
\(581\) 19.4394 + 5.80206i 0.806482 + 0.240710i
\(582\) −5.73543 3.31135i −0.237741 0.137260i
\(583\) −2.36008 8.80794i −0.0977446 0.364788i
\(584\) 28.9163 1.19657
\(585\) 6.15882 7.33200i 0.254636 0.303141i
\(586\) 47.1901i 1.94941i
\(587\) 0.571868 + 2.13424i 0.0236035 + 0.0880895i 0.976723 0.214505i \(-0.0688138\pi\)
−0.953119 + 0.302595i \(0.902147\pi\)
\(588\) −11.6668 + 17.8032i −0.481129 + 0.734193i
\(589\) 1.66656 0.962187i 0.0686693 0.0396462i
\(590\) −28.6838 28.6838i −1.18089 1.18089i
\(591\) −12.2629 3.28585i −0.504430 0.135162i
\(592\) −3.82651 1.02531i −0.157268 0.0421400i
\(593\) −1.48928 1.48928i −0.0611573 0.0611573i 0.675867 0.737024i \(-0.263770\pi\)
−0.737024 + 0.675867i \(0.763770\pi\)
\(594\) −9.08849 + 5.24724i −0.372905 + 0.215297i
\(595\) −7.11364 29.9033i −0.291631 1.22592i
\(596\) 3.76850 + 14.0642i 0.154364 + 0.576093i
\(597\) 21.6733i 0.887027i
\(598\) −43.3015 + 51.5500i −1.77073 + 2.10804i
\(599\) 13.9002 0.567945 0.283973 0.958832i \(-0.408347\pi\)
0.283973 + 0.958832i \(0.408347\pi\)
\(600\) 1.24163 + 4.63384i 0.0506895 + 0.189176i
\(601\) 8.59776 + 4.96392i 0.350710 + 0.202482i 0.664998 0.746845i \(-0.268432\pi\)
−0.314288 + 0.949328i \(0.601766\pi\)
\(602\) −16.3991 4.89461i −0.668375 0.199489i
\(603\) −1.03130 1.03130i −0.0419978 0.0419978i
\(604\) −8.52892 + 31.8304i −0.347037 + 1.29516i
\(605\) −7.45694 + 27.8297i −0.303168 + 1.13144i
\(606\) 1.00578 1.00578i 0.0408571 0.0408571i
\(607\) −26.6015 + 15.3584i −1.07972 + 0.623378i −0.930821 0.365475i \(-0.880907\pi\)
−0.148900 + 0.988852i \(0.547573\pi\)
\(608\) 0.659297 1.14194i 0.0267380 0.0463116i
\(609\) −23.4484 14.4361i −0.950176 0.584981i
\(610\) 14.6862i 0.594626i
\(611\) −4.44958 + 1.61688i −0.180011 + 0.0654119i
\(612\) 13.3021i 0.537705i
\(613\) 9.42794 2.52621i 0.380791 0.102033i −0.0633459 0.997992i \(-0.520177\pi\)
0.444137 + 0.895959i \(0.353510\pi\)
\(614\) −35.1709 20.3059i −1.41938 0.819480i
\(615\) −0.699491 1.21155i −0.0282062 0.0488546i
\(616\) −0.816322 + 28.8863i −0.0328906 + 1.16386i
\(617\) 6.69956 25.0031i 0.269714 1.00659i −0.689587 0.724203i \(-0.742208\pi\)
0.959301 0.282384i \(-0.0911253\pi\)
\(618\) 4.24442 + 1.13729i 0.170736 + 0.0457485i
\(619\) −25.5525 25.5525i −1.02704 1.02704i −0.999624 0.0274172i \(-0.991272\pi\)
−0.0274172 0.999624i \(-0.508728\pi\)
\(620\) −38.5899 66.8397i −1.54981 2.68435i
\(621\) −4.15829 + 7.20237i −0.166867 + 0.289021i
\(622\) −42.4011 + 11.3613i −1.70013 + 0.455548i
\(623\) −28.3068 29.9532i −1.13409 1.20005i
\(624\) 0.260903 + 3.00021i 0.0104445 + 0.120104i
\(625\) 31.0502 1.24201
\(626\) −7.69915 28.7336i −0.307720 1.14843i
\(627\) 0.470586 0.815080i 0.0187934 0.0325511i
\(628\) 12.1722 + 21.0829i 0.485725 + 0.841300i
\(629\) 14.6712 14.6712i 0.584977 0.584977i
\(630\) −7.49871 13.8794i −0.298756 0.552969i
\(631\) 9.92759 + 2.66009i 0.395211 + 0.105897i 0.450951 0.892549i \(-0.351085\pi\)
−0.0557396 + 0.998445i \(0.517752\pi\)
\(632\) 7.37744 7.37744i 0.293459 0.293459i
\(633\) 11.2742 6.50914i 0.448108 0.258715i
\(634\) −49.1823 28.3954i −1.95328 1.12773i
\(635\) −3.08153 + 0.825692i −0.122287 + 0.0327666i
\(636\) 5.93201 0.235220
\(637\) 13.2745 + 21.4660i 0.525955 + 0.850512i
\(638\) −109.222 −4.32416
\(639\) −5.37468 + 1.44014i −0.212619 + 0.0569711i
\(640\) −37.1730 21.4618i −1.46939 0.848353i
\(641\) −26.2509 + 15.1559i −1.03685 + 0.598624i −0.918939 0.394401i \(-0.870952\pi\)
−0.117908 + 0.993025i \(0.537619\pi\)
\(642\) 11.4301 11.4301i 0.451111 0.451111i
\(643\) −35.0393 9.38876i −1.38182 0.370256i −0.510035 0.860153i \(-0.670368\pi\)
−0.871780 + 0.489897i \(0.837034\pi\)
\(644\) 31.8038 + 58.8659i 1.25325 + 2.31964i
\(645\) 5.41034 5.41034i 0.213032 0.213032i
\(646\) 0.988806 + 1.71266i 0.0389041 + 0.0673838i
\(647\) 9.62979 16.6793i 0.378586 0.655730i −0.612271 0.790648i \(-0.709744\pi\)
0.990857 + 0.134918i \(0.0430771\pi\)
\(648\) −0.604784 2.25709i −0.0237582 0.0886667i
\(649\) 31.8001 1.24826
\(650\) 16.3653 + 2.89447i 0.641901 + 0.113531i
\(651\) 17.3677 + 18.3779i 0.680696 + 0.720287i
\(652\) 55.8877 14.9751i 2.18873 0.586468i
\(653\) −0.0312823 + 0.0541825i −0.00122417 + 0.00212033i −0.866637 0.498939i \(-0.833723\pi\)
0.865413 + 0.501060i \(0.167056\pi\)
\(654\) 3.84521 + 6.66011i 0.150360 + 0.260431i
\(655\) 5.69787 + 5.69787i 0.222634 + 0.222634i
\(656\) 0.424995 + 0.113877i 0.0165933 + 0.00444615i
\(657\) 3.20284 11.9532i 0.124955 0.466337i
\(658\) −0.220329 + 7.79655i −0.00858932 + 0.303941i
\(659\) 3.09067 + 5.35320i 0.120395 + 0.208531i 0.919924 0.392098i \(-0.128250\pi\)
−0.799528 + 0.600628i \(0.794917\pi\)
\(660\) −32.6900 18.8736i −1.27246 0.734653i
\(661\) 6.90812 1.85103i 0.268695 0.0719965i −0.121956 0.992536i \(-0.538917\pi\)
0.390651 + 0.920539i \(0.372250\pi\)
\(662\) 30.5207i 1.18622i
\(663\) −14.2915 6.67333i −0.555035 0.259171i
\(664\) 17.9171i 0.695320i
\(665\) 1.20478 + 0.741726i 0.0467192 + 0.0287629i
\(666\) 5.32429 9.22194i 0.206312 0.357343i
\(667\) −74.9594 + 43.2778i −2.90244 + 1.67572i
\(668\) −23.4013 + 23.4013i −0.905425 + 0.905425i
\(669\) 4.38178 16.3530i 0.169409 0.632244i
\(670\) 2.25078 8.40001i 0.0869551 0.324521i
\(671\) 8.14087 + 8.14087i 0.314275 + 0.314275i
\(672\) 16.6025 + 4.95532i 0.640454 + 0.191156i
\(673\) −4.05354 2.34031i −0.156253 0.0902125i 0.419835 0.907600i \(-0.362088\pi\)
−0.576088 + 0.817388i \(0.695421\pi\)
\(674\) 1.02085 + 3.80987i 0.0393217 + 0.146751i
\(675\) 2.05302 0.0790207
\(676\) −37.1319 13.5589i −1.42815 0.521497i
\(677\) 31.1590i 1.19754i 0.800922 + 0.598769i \(0.204343\pi\)
−0.800922 + 0.598769i \(0.795657\pi\)
\(678\) −0.441345 1.64712i −0.0169497 0.0632573i
\(679\) 1.80615 + 7.59246i 0.0693139 + 0.291372i
\(680\) 23.5103 13.5737i 0.901579 0.520527i
\(681\) 13.3899 + 13.3899i 0.513103 + 0.513103i
\(682\) 96.8808 + 25.9591i 3.70976 + 0.994026i
\(683\) 41.3109 + 11.0692i 1.58072 + 0.423552i 0.939148 0.343512i \(-0.111617\pi\)
0.641570 + 0.767064i \(0.278283\pi\)
\(684\) 0.432938 + 0.432938i 0.0165538 + 0.0165538i
\(685\) −26.8569 + 15.5058i −1.02615 + 0.592447i
\(686\) 40.9311 7.32322i 1.56276 0.279602i
\(687\) 0.0664091 + 0.247842i 0.00253367 + 0.00945577i
\(688\) 2.40640i 0.0917430i
\(689\) 2.97595 6.37323i 0.113374 0.242801i
\(690\) −49.5885 −1.88780
\(691\) −4.65384 17.3684i −0.177040 0.660724i −0.996195 0.0871512i \(-0.972224\pi\)
0.819155 0.573573i \(-0.194443\pi\)
\(692\) −21.4507 12.3845i −0.815432 0.470790i
\(693\) 11.8503 + 3.53696i 0.450157 + 0.134358i
\(694\) −17.2703 17.2703i −0.655570 0.655570i
\(695\) −4.60935 + 17.2023i −0.174843 + 0.652521i
\(696\) 6.29435 23.4909i 0.238587 0.890418i
\(697\) −1.62947 + 1.62947i −0.0617205 + 0.0617205i
\(698\) −24.0447 + 13.8822i −0.910106 + 0.525450i
\(699\) −5.69240 + 9.85952i −0.215306 + 0.372921i
\(700\) 8.65917 14.0650i 0.327286 0.531606i
\(701\) 34.0110i 1.28458i −0.766462 0.642290i \(-0.777985\pi\)
0.766462 0.642290i \(-0.222015\pi\)
\(702\) −7.97134 1.40986i −0.300859 0.0532118i
\(703\) 0.954993i 0.0360182i
\(704\) 58.8411 15.7664i 2.21766 0.594219i
\(705\) −3.01993 1.74356i −0.113737 0.0656661i
\(706\) 19.7658 + 34.2354i 0.743897 + 1.28847i
\(707\) −1.67551 0.0473495i −0.0630139 0.00178076i
\(708\) −5.35421 + 19.9822i −0.201224 + 0.750977i
\(709\) −2.70932 0.725960i −0.101751 0.0272640i 0.207584 0.978217i \(-0.433440\pi\)
−0.309335 + 0.950953i \(0.600106\pi\)
\(710\) −23.4601 23.4601i −0.880441 0.880441i
\(711\) −2.23247 3.86676i −0.0837243 0.145015i
\(712\) 18.1993 31.5221i 0.682047 1.18134i
\(713\) 76.7753 20.5719i 2.87526 0.770423i
\(714\) −18.8863 + 17.8482i −0.706804 + 0.667953i
\(715\) −36.6771 + 25.6530i −1.37165 + 0.959369i
\(716\) 35.9336 1.34290
\(717\) −4.47213 16.6902i −0.167015 0.623307i
\(718\) −18.2560 + 31.6203i −0.681308 + 1.18006i
\(719\) 10.7719 + 18.6575i 0.401725 + 0.695809i 0.993934 0.109976i \(-0.0350773\pi\)
−0.592209 + 0.805784i \(0.701744\pi\)
\(720\) −1.56851 + 1.56851i −0.0584550 + 0.0584550i
\(721\) −2.46137 4.55576i −0.0916661 0.169665i
\(722\) 41.1167 + 11.0172i 1.53021 + 0.410017i
\(723\) −21.5609 + 21.5609i −0.801860 + 0.801860i
\(724\) 27.6493 15.9633i 1.02758 0.593272i
\(725\) 18.5044 + 10.6835i 0.687235 + 0.396775i
\(726\) 23.5271 6.30408i 0.873174 0.233966i
\(727\) −25.2656 −0.937048 −0.468524 0.883451i \(-0.655214\pi\)
−0.468524 + 0.883451i \(0.655214\pi\)
\(728\) −14.8136 + 16.6564i −0.549028 + 0.617328i
\(729\) −1.00000 −0.0370370
\(730\) 71.2720 19.0973i 2.63789 0.706822i
\(731\) −10.9149 6.30170i −0.403701 0.233077i
\(732\) −6.48616 + 3.74479i −0.239735 + 0.138411i
\(733\) 22.8545 22.8545i 0.844152 0.844152i −0.145244 0.989396i \(-0.546397\pi\)
0.989396 + 0.145244i \(0.0463967\pi\)
\(734\) −28.5184 7.64147i −1.05263 0.282052i
\(735\) −5.81794 + 17.6564i −0.214598 + 0.651267i
\(736\) 38.5109 38.5109i 1.41953 1.41953i
\(737\) 3.40865 + 5.90396i 0.125559 + 0.217475i
\(738\) −0.591348 + 1.02425i −0.0217678 + 0.0377030i
\(739\) 3.35655 + 12.5268i 0.123473 + 0.460806i 0.999781 0.0209450i \(-0.00666750\pi\)
−0.876308 + 0.481751i \(0.840001\pi\)
\(740\) 38.3014 1.40799
\(741\) 0.682334 0.247945i 0.0250662 0.00910849i
\(742\) −7.95935 8.42229i −0.292197 0.309192i
\(743\) 31.0606 8.32266i 1.13950 0.305329i 0.360751 0.932662i \(-0.382520\pi\)
0.778751 + 0.627333i \(0.215854\pi\)
\(744\) −11.1662 + 19.3405i −0.409374 + 0.709057i
\(745\) 6.35837 + 11.0130i 0.232953 + 0.403486i
\(746\) −15.2893 15.2893i −0.559782 0.559782i
\(747\) 7.40641 + 1.98454i 0.270987 + 0.0726106i
\(748\) −16.0927 + 60.0587i −0.588407 + 2.19596i
\(749\) −19.0412 0.538099i −0.695749 0.0196617i
\(750\) −8.78584 15.2175i −0.320814 0.555666i
\(751\) −13.1305 7.58091i −0.479140 0.276631i 0.240918 0.970545i \(-0.422551\pi\)
−0.720058 + 0.693914i \(0.755885\pi\)
\(752\) 1.05935 0.283851i 0.0386304 0.0103510i
\(753\) 10.9234i 0.398072i
\(754\) −64.5111 54.1887i −2.34935 1.97344i
\(755\) 28.7807i 1.04744i
\(756\) −4.21777 + 6.85087i −0.153399 + 0.249164i
\(757\) −17.8529 + 30.9221i −0.648875 + 1.12388i 0.334517 + 0.942390i \(0.391427\pi\)
−0.983392 + 0.181494i \(0.941907\pi\)
\(758\) 64.7200 37.3661i 2.35074 1.35720i
\(759\) 27.4880 27.4880i 0.997750 0.997750i
\(760\) −0.323404 + 1.20696i −0.0117311 + 0.0437810i
\(761\) 0.802382 2.99453i 0.0290863 0.108552i −0.949857 0.312686i \(-0.898771\pi\)
0.978943 + 0.204134i \(0.0654379\pi\)
\(762\) 1.90708 + 1.90708i 0.0690861 + 0.0690861i
\(763\) 2.59191 8.68401i 0.0938334 0.314382i
\(764\) −35.1538 20.2961i −1.27182 0.734286i
\(765\) −3.00690 11.2219i −0.108715 0.405729i
\(766\) −8.67503 −0.313442
\(767\) 18.7824 + 15.7770i 0.678192 + 0.569675i
\(768\) 10.2228i 0.368882i
\(769\) −8.07284 30.1282i −0.291114 1.08645i −0.944255 0.329216i \(-0.893216\pi\)
0.653141 0.757237i \(-0.273451\pi\)
\(770\) 17.0654 + 71.7372i 0.614995 + 2.58523i
\(771\) 24.6012 14.2035i 0.885991 0.511527i
\(772\) −17.3447 17.3447i −0.624251 0.624251i
\(773\) −5.18000 1.38798i −0.186312 0.0499220i 0.164457 0.986384i \(-0.447413\pi\)
−0.350768 + 0.936462i \(0.614080\pi\)