Properties

Label 648.2.bb.b.155.103
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.103
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.103

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41359 + 0.0421237i) q^{2} +(1.42632 + 0.982653i) q^{3} +(1.99645 + 0.119091i) q^{4} +(-3.16551 + 2.08199i) q^{5} +(1.97484 + 1.44915i) q^{6} +(-1.35474 - 1.27813i) q^{7} +(2.81714 + 0.252443i) q^{8} +(1.06879 + 2.80316i) q^{9} +O(q^{10})\) \(q+(1.41359 + 0.0421237i) q^{2} +(1.42632 + 0.982653i) q^{3} +(1.99645 + 0.119091i) q^{4} +(-3.16551 + 2.08199i) q^{5} +(1.97484 + 1.44915i) q^{6} +(-1.35474 - 1.27813i) q^{7} +(2.81714 + 0.252443i) q^{8} +(1.06879 + 2.80316i) q^{9} +(-4.56242 + 2.80973i) q^{10} +(2.67890 + 5.33414i) q^{11} +(2.73056 + 2.13168i) q^{12} +(0.0628852 - 0.0271260i) q^{13} +(-1.86120 - 1.86381i) q^{14} +(-6.56091 - 0.141011i) q^{15} +(3.97163 + 0.475519i) q^{16} +(-2.02678 - 2.41542i) q^{17} +(1.39274 + 4.00753i) q^{18} +(-2.74060 - 2.29964i) q^{19} +(-6.56773 + 3.77961i) q^{20} +(-0.676335 - 3.15426i) q^{21} +(3.56217 + 7.65311i) q^{22} +(-0.0746894 - 0.0791662i) q^{23} +(3.77008 + 3.12833i) q^{24} +(3.70538 - 8.59003i) q^{25} +(0.0900364 - 0.0356960i) q^{26} +(-1.23010 + 5.04845i) q^{27} +(-2.55245 - 2.71306i) q^{28} +(8.41268 - 0.983301i) q^{29} +(-9.26847 - 0.475701i) q^{30} +(0.371204 + 1.56623i) q^{31} +(5.59422 + 0.839487i) q^{32} +(-1.42062 + 10.2406i) q^{33} +(-2.76328 - 3.49978i) q^{34} +(6.94949 + 1.22538i) q^{35} +(1.79995 + 5.72365i) q^{36} +(5.21394 - 0.919359i) q^{37} +(-3.77721 - 3.36618i) q^{38} +(0.116350 + 0.0231039i) q^{39} +(-9.44327 + 5.06614i) q^{40} +(-4.52851 - 3.37135i) q^{41} +(-0.823189 - 4.48731i) q^{42} +(0.296936 - 5.09820i) q^{43} +(4.71305 + 10.9684i) q^{44} +(-9.21940 - 6.64822i) q^{45} +(-0.102245 - 0.115054i) q^{46} +(7.53227 + 1.78518i) q^{47} +(5.19756 + 4.58098i) q^{48} +(-0.205313 - 3.52510i) q^{49} +(5.59972 - 11.9867i) q^{50} +(-0.517319 - 5.43679i) q^{51} +(0.128778 - 0.0466668i) q^{52} +(2.60144 + 4.50583i) q^{53} +(-1.95151 + 7.08460i) q^{54} +(-19.5857 - 11.3078i) q^{55} +(-3.49383 - 3.94266i) q^{56} +(-1.64923 - 5.97308i) q^{57} +(11.9335 - 1.03561i) q^{58} +(4.25639 - 8.47518i) q^{59} +(-13.0817 - 1.06287i) q^{60} +(-13.2083 + 3.95432i) q^{61} +(0.458753 + 2.22964i) q^{62} +(2.13487 - 5.16359i) q^{63} +(7.87254 + 1.42234i) q^{64} +(-0.142588 + 0.216794i) q^{65} +(-2.43955 + 14.4162i) q^{66} +(-3.86077 - 0.451259i) q^{67} +(-3.75871 - 5.06364i) q^{68} +(-0.0287383 - 0.186310i) q^{69} +(9.77208 + 2.02492i) q^{70} +(-8.54711 - 3.11089i) q^{71} +(2.30328 + 8.16669i) q^{72} +(-1.21148 + 0.440942i) q^{73} +(7.40908 - 1.07996i) q^{74} +(13.7261 - 8.61105i) q^{75} +(-5.19761 - 4.91749i) q^{76} +(3.18850 - 10.6503i) q^{77} +(0.163498 + 0.0375604i) q^{78} +(6.57695 - 4.89636i) q^{79} +(-13.5623 + 6.76364i) q^{80} +(-6.71539 + 5.99196i) q^{81} +(-6.25943 - 4.95645i) q^{82} +(4.98975 - 3.71473i) q^{83} +(-0.974626 - 6.37787i) q^{84} +(11.4447 + 3.42631i) q^{85} +(0.634501 - 7.19424i) q^{86} +(12.9654 + 6.86424i) q^{87} +(6.20028 + 15.7033i) q^{88} +(-0.658394 - 1.80892i) q^{89} +(-12.7524 - 9.78619i) q^{90} +(-0.119864 - 0.0436268i) q^{91} +(-0.139686 - 0.166946i) q^{92} +(-1.00961 + 2.59872i) q^{93} +(10.5723 + 2.84079i) q^{94} +(13.4632 + 1.57362i) q^{95} +(7.15423 + 6.69455i) q^{96} +(16.0060 + 10.5273i) q^{97} +(-0.141738 - 4.99168i) q^{98} +(-12.0892 + 13.2105i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41359 + 0.0421237i 0.999556 + 0.0297860i
\(3\) 1.42632 + 0.982653i 0.823487 + 0.567335i
\(4\) 1.99645 + 0.119091i 0.998226 + 0.0595455i
\(5\) −3.16551 + 2.08199i −1.41566 + 0.931094i −0.415894 + 0.909413i \(0.636531\pi\)
−0.999765 + 0.0216808i \(0.993098\pi\)
\(6\) 1.97484 + 1.44915i 0.806223 + 0.591611i
\(7\) −1.35474 1.27813i −0.512043 0.483087i 0.386306 0.922371i \(-0.373751\pi\)
−0.898349 + 0.439283i \(0.855232\pi\)
\(8\) 2.81714 + 0.252443i 0.996009 + 0.0892522i
\(9\) 1.06879 + 2.80316i 0.356263 + 0.934386i
\(10\) −4.56242 + 2.80973i −1.44276 + 0.888514i
\(11\) 2.67890 + 5.33414i 0.807720 + 1.60830i 0.793629 + 0.608402i \(0.208189\pi\)
0.0140911 + 0.999901i \(0.495515\pi\)
\(12\) 2.73056 + 2.13168i 0.788244 + 0.615363i
\(13\) 0.0628852 0.0271260i 0.0174412 0.00752341i −0.387341 0.921936i \(-0.626606\pi\)
0.404783 + 0.914413i \(0.367347\pi\)
\(14\) −1.86120 1.86381i −0.497426 0.498125i
\(15\) −6.56091 0.141011i −1.69402 0.0364089i
\(16\) 3.97163 + 0.475519i 0.992909 + 0.118880i
\(17\) −2.02678 2.41542i −0.491566 0.585826i 0.462049 0.886855i \(-0.347115\pi\)
−0.953615 + 0.301029i \(0.902670\pi\)
\(18\) 1.39274 + 4.00753i 0.328273 + 0.944583i
\(19\) −2.74060 2.29964i −0.628737 0.527573i 0.271799 0.962354i \(-0.412381\pi\)
−0.900536 + 0.434781i \(0.856826\pi\)
\(20\) −6.56773 + 3.77961i −1.46859 + 0.845145i
\(21\) −0.676335 3.15426i −0.147588 0.688316i
\(22\) 3.56217 + 7.65311i 0.759457 + 1.63165i
\(23\) −0.0746894 0.0791662i −0.0155738 0.0165073i 0.719540 0.694451i \(-0.244353\pi\)
−0.735114 + 0.677944i \(0.762871\pi\)
\(24\) 3.77008 + 3.12833i 0.769565 + 0.638569i
\(25\) 3.70538 8.59003i 0.741076 1.71801i
\(26\) 0.0900364 0.0356960i 0.0176576 0.00700057i
\(27\) −1.23010 + 5.04845i −0.236732 + 0.971575i
\(28\) −2.55245 2.71306i −0.482369 0.512720i
\(29\) 8.41268 0.983301i 1.56219 0.182594i 0.709387 0.704819i \(-0.248972\pi\)
0.852808 + 0.522225i \(0.174898\pi\)
\(30\) −9.26847 0.475701i −1.69218 0.0868507i
\(31\) 0.371204 + 1.56623i 0.0666702 + 0.281304i 0.996161 0.0875420i \(-0.0279012\pi\)
−0.929491 + 0.368846i \(0.879753\pi\)
\(32\) 5.59422 + 0.839487i 0.988927 + 0.148402i
\(33\) −1.42062 + 10.2406i −0.247299 + 1.78266i
\(34\) −2.76328 3.49978i −0.473899 0.600208i
\(35\) 6.94949 + 1.22538i 1.17468 + 0.207127i
\(36\) 1.79995 + 5.72365i 0.299992 + 0.953942i
\(37\) 5.21394 0.919359i 0.857167 0.151142i 0.272242 0.962229i \(-0.412235\pi\)
0.584925 + 0.811087i \(0.301124\pi\)
\(38\) −3.77721 3.36618i −0.612744 0.546066i
\(39\) 0.116350 + 0.0231039i 0.0186309 + 0.00369958i
\(40\) −9.44327 + 5.06614i −1.49311 + 0.801027i
\(41\) −4.52851 3.37135i −0.707234 0.526517i 0.182380 0.983228i \(-0.441620\pi\)
−0.889615 + 0.456711i \(0.849027\pi\)
\(42\) −0.823189 4.48731i −0.127021 0.692407i
\(43\) 0.296936 5.09820i 0.0452824 0.777469i −0.896872 0.442290i \(-0.854166\pi\)
0.942155 0.335179i \(-0.108797\pi\)
\(44\) 4.71305 + 10.9684i 0.710520 + 1.65355i
\(45\) −9.21940 6.64822i −1.37435 0.991058i
\(46\) −0.102245 0.115054i −0.0150752 0.0169638i
\(47\) 7.53227 + 1.78518i 1.09869 + 0.260395i 0.739695 0.672943i \(-0.234970\pi\)
0.358999 + 0.933338i \(0.383118\pi\)
\(48\) 5.19756 + 4.58098i 0.750203 + 0.661208i
\(49\) −0.205313 3.52510i −0.0293305 0.503585i
\(50\) 5.59972 11.9867i 0.791919 1.69517i
\(51\) −0.517319 5.43679i −0.0724392 0.761303i
\(52\) 0.128778 0.0466668i 0.0178583 0.00647152i
\(53\) 2.60144 + 4.50583i 0.357336 + 0.618923i 0.987515 0.157526i \(-0.0503519\pi\)
−0.630179 + 0.776450i \(0.717019\pi\)
\(54\) −1.95151 + 7.08460i −0.265566 + 0.964093i
\(55\) −19.5857 11.3078i −2.64094 1.52475i
\(56\) −3.49383 3.94266i −0.466883 0.526860i
\(57\) −1.64923 5.97308i −0.218446 0.791154i
\(58\) 11.9335 1.03561i 1.56694 0.135982i
\(59\) 4.25639 8.47518i 0.554135 1.10337i −0.425941 0.904751i \(-0.640057\pi\)
0.980076 0.198623i \(-0.0636470\pi\)
\(60\) −13.0817 1.06287i −1.68885 0.137215i
\(61\) −13.2083 + 3.95432i −1.69115 + 0.506298i −0.980379 0.197121i \(-0.936841\pi\)
−0.710775 + 0.703419i \(0.751656\pi\)
\(62\) 0.458753 + 2.22964i 0.0582617 + 0.283165i
\(63\) 2.13487 5.16359i 0.268968 0.650552i
\(64\) 7.87254 + 1.42234i 0.984068 + 0.177792i
\(65\) −0.142588 + 0.216794i −0.0176858 + 0.0268900i
\(66\) −2.43955 + 14.4162i −0.300288 + 1.77451i
\(67\) −3.86077 0.451259i −0.471668 0.0551300i −0.123061 0.992399i \(-0.539271\pi\)
−0.348607 + 0.937269i \(0.613345\pi\)
\(68\) −3.75871 5.06364i −0.455811 0.614057i
\(69\) −0.0287383 0.186310i −0.00345969 0.0224291i
\(70\) 9.77208 + 2.02492i 1.16799 + 0.242024i
\(71\) −8.54711 3.11089i −1.01436 0.369195i −0.219252 0.975668i \(-0.570362\pi\)
−0.795104 + 0.606473i \(0.792584\pi\)
\(72\) 2.30328 + 8.16669i 0.271445 + 0.962454i
\(73\) −1.21148 + 0.440942i −0.141793 + 0.0516084i −0.411942 0.911210i \(-0.635149\pi\)
0.270149 + 0.962819i \(0.412927\pi\)
\(74\) 7.40908 1.07996i 0.861289 0.125543i
\(75\) 13.7261 8.61105i 1.58495 0.994319i
\(76\) −5.19761 4.91749i −0.596207 0.564075i
\(77\) 3.18850 10.6503i 0.363364 1.21372i
\(78\) 0.163498 + 0.0375604i 0.0185125 + 0.00425288i
\(79\) 6.57695 4.89636i 0.739964 0.550883i −0.159858 0.987140i \(-0.551104\pi\)
0.899822 + 0.436257i \(0.143696\pi\)
\(80\) −13.5623 + 6.76364i −1.51631 + 0.756198i
\(81\) −6.71539 + 5.99196i −0.746154 + 0.665773i
\(82\) −6.25943 4.95645i −0.691238 0.547349i
\(83\) 4.98975 3.71473i 0.547696 0.407745i −0.287431 0.957801i \(-0.592801\pi\)
0.835127 + 0.550057i \(0.185394\pi\)
\(84\) −0.974626 6.37787i −0.106340 0.695883i
\(85\) 11.4447 + 3.42631i 1.24135 + 0.371636i
\(86\) 0.634501 7.19424i 0.0684200 0.775775i
\(87\) 12.9654 + 6.86424i 1.39004 + 0.735923i
\(88\) 6.20028 + 15.7033i 0.660952 + 1.67397i
\(89\) −0.658394 1.80892i −0.0697896 0.191745i 0.899894 0.436108i \(-0.143643\pi\)
−0.969684 + 0.244363i \(0.921421\pi\)
\(90\) −12.7524 9.78619i −1.34422 1.03155i
\(91\) −0.119864 0.0436268i −0.0125651 0.00457333i
\(92\) −0.139686 0.166946i −0.0145633 0.0174053i
\(93\) −1.00961 + 2.59872i −0.104691 + 0.269474i
\(94\) 10.5723 + 2.84079i 1.09045 + 0.293005i
\(95\) 13.4632 + 1.57362i 1.38130 + 0.161450i
\(96\) 7.15423 + 6.69455i 0.730175 + 0.683260i
\(97\) 16.0060 + 10.5273i 1.62517 + 1.06889i 0.940369 + 0.340157i \(0.110480\pi\)
0.684798 + 0.728733i \(0.259890\pi\)
\(98\) −0.141738 4.99168i −0.0143177 0.504235i
\(99\) −12.0892 + 13.2105i −1.21502 + 1.32770i
\(100\) 8.42060 16.7083i 0.842060 1.67083i
\(101\) −0.773062 2.58221i −0.0769225 0.256939i 0.910875 0.412682i \(-0.135408\pi\)
−0.987798 + 0.155743i \(0.950223\pi\)
\(102\) −0.502258 7.70716i −0.0497309 0.763123i
\(103\) 5.09734 10.1496i 0.502256 1.00007i −0.489509 0.871998i \(-0.662824\pi\)
0.991764 0.128075i \(-0.0408798\pi\)
\(104\) 0.184004 0.0605429i 0.0180431 0.00593672i
\(105\) 8.70808 + 8.57672i 0.849822 + 0.837002i
\(106\) 3.48756 + 6.47896i 0.338742 + 0.629292i
\(107\) −9.86957 5.69820i −0.954128 0.550866i −0.0597668 0.998212i \(-0.519036\pi\)
−0.894361 + 0.447347i \(0.852369\pi\)
\(108\) −3.05705 + 9.93249i −0.294165 + 0.955755i
\(109\) −0.106590 + 0.0615397i −0.0102095 + 0.00589443i −0.505096 0.863063i \(-0.668543\pi\)
0.494887 + 0.868958i \(0.335210\pi\)
\(110\) −27.2098 16.8096i −2.59435 1.60273i
\(111\) 8.34017 + 3.81219i 0.791614 + 0.361837i
\(112\) −4.77275 5.72047i −0.450982 0.540533i
\(113\) −17.7874 + 1.03600i −1.67330 + 0.0974586i −0.868372 0.495913i \(-0.834833\pi\)
−0.804928 + 0.593372i \(0.797796\pi\)
\(114\) −2.07973 8.51294i −0.194784 0.797310i
\(115\) 0.401253 + 0.0950987i 0.0374170 + 0.00886800i
\(116\) 16.9126 0.961238i 1.57030 0.0892487i
\(117\) 0.143250 + 0.147285i 0.0132434 + 0.0136165i
\(118\) 6.37379 11.8011i 0.586755 1.08638i
\(119\) −0.341466 + 5.86275i −0.0313022 + 0.537438i
\(120\) −18.4474 2.05350i −1.68401 0.187458i
\(121\) −14.7077 + 19.7559i −1.33707 + 1.79599i
\(122\) −18.8377 + 5.03338i −1.70548 + 0.455701i
\(123\) −3.14625 9.25858i −0.283687 0.834818i
\(124\) 0.554566 + 3.17111i 0.0498015 + 0.284774i
\(125\) 2.86533 + 16.2501i 0.256283 + 1.45345i
\(126\) 3.23533 7.20925i 0.288226 0.642251i
\(127\) −12.6644 2.23307i −1.12378 0.198153i −0.419281 0.907856i \(-0.637718\pi\)
−0.704501 + 0.709703i \(0.748829\pi\)
\(128\) 11.0686 + 2.34221i 0.978336 + 0.207025i
\(129\) 5.43329 6.97989i 0.478374 0.614545i
\(130\) −0.210692 + 0.300451i −0.0184789 + 0.0263513i
\(131\) 2.77037 + 11.6891i 0.242048 + 1.02128i 0.949313 + 0.314333i \(0.101781\pi\)
−0.707264 + 0.706949i \(0.750071\pi\)
\(132\) −4.05577 + 20.2757i −0.353010 + 1.76478i
\(133\) 0.773562 + 6.61825i 0.0670764 + 0.573875i
\(134\) −5.43852 0.800523i −0.469816 0.0691547i
\(135\) −6.61694 18.5420i −0.569496 1.59584i
\(136\) −5.09996 7.31623i −0.437318 0.627361i
\(137\) 12.5537 + 5.41514i 1.07254 + 0.462647i 0.857778 0.514020i \(-0.171844\pi\)
0.214758 + 0.976667i \(0.431104\pi\)
\(138\) −0.0327760 0.264576i −0.00279008 0.0225222i
\(139\) −1.85725 1.96857i −0.157530 0.166972i 0.643801 0.765193i \(-0.277356\pi\)
−0.801332 + 0.598220i \(0.795875\pi\)
\(140\) 13.7284 + 3.27404i 1.16026 + 0.276707i
\(141\) 8.98923 + 9.94784i 0.757029 + 0.837760i
\(142\) −11.9510 4.75755i −1.00291 0.399245i
\(143\) 0.313158 + 0.262770i 0.0261876 + 0.0219740i
\(144\) 2.91188 + 11.6413i 0.242657 + 0.970112i
\(145\) −24.5832 + 20.6277i −2.04152 + 1.71304i
\(146\) −1.73110 + 0.572278i −0.143267 + 0.0473620i
\(147\) 3.17110 5.22967i 0.261548 0.431336i
\(148\) 10.5189 1.21452i 0.864646 0.0998331i
\(149\) 4.81818 + 11.1698i 0.394721 + 0.915065i 0.993466 + 0.114126i \(0.0364068\pi\)
−0.598746 + 0.800939i \(0.704334\pi\)
\(150\) 19.7657 11.5943i 1.61386 0.946668i
\(151\) −4.26239 8.48712i −0.346868 0.690672i 0.650776 0.759270i \(-0.274444\pi\)
−0.997644 + 0.0685980i \(0.978147\pi\)
\(152\) −7.14013 7.17024i −0.579141 0.581584i
\(153\) 4.60461 8.26296i 0.372261 0.668021i
\(154\) 4.95586 14.9209i 0.399354 1.20236i
\(155\) −4.43593 4.18508i −0.356302 0.336154i
\(156\) 0.229536 + 0.0599820i 0.0183776 + 0.00480240i
\(157\) −7.18684 10.9271i −0.573572 0.872074i 0.425893 0.904774i \(-0.359960\pi\)
−0.999465 + 0.0326992i \(0.989590\pi\)
\(158\) 9.50333 6.64437i 0.756045 0.528598i
\(159\) −0.717172 + 8.98308i −0.0568754 + 0.712404i
\(160\) −19.4564 + 8.98969i −1.53816 + 0.710698i
\(161\) 0.202712i 0.0159760i
\(162\) −9.74518 + 8.18727i −0.765654 + 0.643253i
\(163\) 21.2143 1.66163 0.830817 0.556546i \(-0.187874\pi\)
0.830817 + 0.556546i \(0.187874\pi\)
\(164\) −8.63945 7.27004i −0.674628 0.567695i
\(165\) −16.8239 35.3745i −1.30974 2.75390i
\(166\) 7.20992 5.04091i 0.559598 0.391250i
\(167\) 9.12795 6.00355i 0.706342 0.464568i −0.144829 0.989457i \(-0.546263\pi\)
0.851171 + 0.524888i \(0.175893\pi\)
\(168\) −1.10906 9.05673i −0.0855657 0.698742i
\(169\) −8.91792 + 9.45245i −0.685994 + 0.727111i
\(170\) 16.0337 + 5.32548i 1.22973 + 0.408446i
\(171\) 3.51713 10.1402i 0.268961 0.775437i
\(172\) 1.19997 10.1430i 0.0914968 0.773393i
\(173\) 21.2139 10.6540i 1.61286 0.810010i 0.613062 0.790035i \(-0.289938\pi\)
0.999800 0.0199751i \(-0.00635870\pi\)
\(174\) 18.0386 + 10.2493i 1.36750 + 0.777000i
\(175\) −15.9990 + 6.90129i −1.20941 + 0.521689i
\(176\) 8.10315 + 22.4591i 0.610798 + 1.69292i
\(177\) 14.3991 7.90577i 1.08231 0.594234i
\(178\) −0.854498 2.58480i −0.0640474 0.193739i
\(179\) 3.39876 + 4.05048i 0.254035 + 0.302747i 0.877957 0.478739i \(-0.158906\pi\)
−0.623922 + 0.781487i \(0.714462\pi\)
\(180\) −17.6143 14.3708i −1.31290 1.07114i
\(181\) −5.93411 + 7.07200i −0.441079 + 0.525658i −0.940085 0.340941i \(-0.889254\pi\)
0.499005 + 0.866599i \(0.333699\pi\)
\(182\) −0.167600 0.0667193i −0.0124233 0.00494557i
\(183\) −22.7251 7.33908i −1.67988 0.542520i
\(184\) −0.190425 0.241877i −0.0140384 0.0178314i
\(185\) −14.5907 + 13.7656i −1.07273 + 1.01207i
\(186\) −1.53663 + 3.63098i −0.112671 + 0.266236i
\(187\) 7.45464 17.2818i 0.545138 1.26377i
\(188\) 14.8252 + 4.46105i 1.08124 + 0.325356i
\(189\) 8.11903 5.26711i 0.590573 0.383126i
\(190\) 18.9651 + 2.79157i 1.37588 + 0.202522i
\(191\) −14.5933 + 1.70572i −1.05594 + 0.123421i −0.626301 0.779581i \(-0.715432\pi\)
−0.429635 + 0.903003i \(0.641358\pi\)
\(192\) 9.83112 + 9.76469i 0.709500 + 0.704705i
\(193\) 7.94506 1.88301i 0.571898 0.135542i 0.0655157 0.997852i \(-0.479131\pi\)
0.506382 + 0.862309i \(0.330983\pi\)
\(194\) 22.1825 + 15.5555i 1.59261 + 1.11682i
\(195\) −0.416409 + 0.169104i −0.0298197 + 0.0121098i
\(196\) 0.00990889 7.06213i 0.000707778 0.504438i
\(197\) −3.84790 + 21.8225i −0.274152 + 1.55479i 0.467492 + 0.883997i \(0.345158\pi\)
−0.741644 + 0.670794i \(0.765953\pi\)
\(198\) −17.6457 + 18.1649i −1.25402 + 1.29092i
\(199\) −19.1196 + 3.37130i −1.35535 + 0.238985i −0.803672 0.595072i \(-0.797123\pi\)
−0.551678 + 0.834057i \(0.686012\pi\)
\(200\) 12.6071 23.2639i 0.891454 1.64501i
\(201\) −5.06326 4.43743i −0.357135 0.312992i
\(202\) −0.984018 3.68274i −0.0692352 0.259116i
\(203\) −12.6538 9.42037i −0.888120 0.661181i
\(204\) −0.385330 10.9159i −0.0269785 0.764266i
\(205\) 21.3542 + 1.24374i 1.49144 + 0.0868664i
\(206\) 7.63307 14.1327i 0.531821 0.984669i
\(207\) 0.142088 0.293978i 0.00987581 0.0204329i
\(208\) 0.262656 0.0778316i 0.0182119 0.00539665i
\(209\) 4.92477 20.7792i 0.340654 1.43733i
\(210\) 11.9483 + 12.4908i 0.824514 + 0.861944i
\(211\) −1.31725 22.6164i −0.0906835 1.55698i −0.670302 0.742088i \(-0.733836\pi\)
0.579619 0.814888i \(-0.303202\pi\)
\(212\) 4.65705 + 9.30548i 0.319847 + 0.639103i
\(213\) −9.13400 12.8360i −0.625852 0.879507i
\(214\) −13.7115 8.47064i −0.937296 0.579041i
\(215\) 9.67445 + 16.7566i 0.659792 + 1.14279i
\(216\) −4.73980 + 13.9117i −0.322502 + 0.946569i
\(217\) 1.49896 2.59628i 0.101756 0.176247i
\(218\) −0.153266 + 0.0825017i −0.0103805 + 0.00558772i
\(219\) −2.16125 0.561537i −0.146044 0.0379452i
\(220\) −37.7553 24.9080i −2.54546 1.67930i
\(221\) −0.192975 0.0969159i −0.0129809 0.00651927i
\(222\) 11.6290 + 5.74018i 0.780485 + 0.385256i
\(223\) −9.58761 + 2.87034i −0.642034 + 0.192212i −0.591238 0.806497i \(-0.701361\pi\)
−0.0507952 + 0.998709i \(0.516176\pi\)
\(224\) −6.50573 8.28742i −0.434682 0.553726i
\(225\) 28.0395 + 1.20584i 1.86930 + 0.0803893i
\(226\) −25.1877 + 0.715202i −1.67546 + 0.0475745i
\(227\) −6.90924 + 10.5050i −0.458583 + 0.697241i −0.988570 0.150765i \(-0.951826\pi\)
0.529987 + 0.848006i \(0.322197\pi\)
\(228\) −2.58128 12.1214i −0.170949 0.802758i
\(229\) 0.122614 1.04903i 0.00810257 0.0693220i −0.988582 0.150683i \(-0.951853\pi\)
0.996685 + 0.0813612i \(0.0259267\pi\)
\(230\) 0.563200 + 0.151333i 0.0371363 + 0.00997857i
\(231\) 15.0134 12.0576i 0.987811 0.793334i
\(232\) 23.9479 0.646371i 1.57226 0.0424364i
\(233\) −5.89174 + 16.1874i −0.385980 + 1.06047i 0.582814 + 0.812606i \(0.301952\pi\)
−0.968794 + 0.247867i \(0.920271\pi\)
\(234\) 0.196291 + 0.214235i 0.0128320 + 0.0140050i
\(235\) −27.5602 + 10.0311i −1.79783 + 0.654356i
\(236\) 9.50700 16.4134i 0.618853 1.06842i
\(237\) 14.1923 0.520924i 0.921886 0.0338377i
\(238\) −0.729653 + 8.27312i −0.0472964 + 0.536267i
\(239\) 1.11821 3.73509i 0.0723312 0.241603i −0.914177 0.405315i \(-0.867162\pi\)
0.986508 + 0.163712i \(0.0523469\pi\)
\(240\) −25.9905 3.67988i −1.67768 0.237535i
\(241\) 2.06816 + 2.77802i 0.133222 + 0.178948i 0.863728 0.503958i \(-0.168123\pi\)
−0.730507 + 0.682906i \(0.760716\pi\)
\(242\) −21.6229 + 27.3072i −1.38997 + 1.75537i
\(243\) −15.4663 + 1.94757i −0.992165 + 0.124937i
\(244\) −26.8407 + 6.32161i −1.71830 + 0.404699i
\(245\) 7.98913 + 10.7313i 0.510407 + 0.685596i
\(246\) −4.05748 13.2203i −0.258696 0.842898i
\(247\) −0.234723 0.0702716i −0.0149351 0.00447127i
\(248\) 0.650348 + 4.50600i 0.0412972 + 0.286132i
\(249\) 10.7673 0.395211i 0.682349 0.0250455i
\(250\) 3.36588 + 23.0916i 0.212877 + 1.46044i
\(251\) 4.44396 + 12.2097i 0.280500 + 0.770667i 0.997303 + 0.0733919i \(0.0233824\pi\)
−0.716803 + 0.697276i \(0.754395\pi\)
\(252\) 4.87710 10.0546i 0.307229 0.633381i
\(253\) 0.222197 0.610482i 0.0139694 0.0383807i
\(254\) −17.8081 3.69011i −1.11738 0.231538i
\(255\) 12.9569 + 16.1332i 0.811394 + 1.01030i
\(256\) 15.5478 + 3.77717i 0.971735 + 0.236073i
\(257\) −1.63697 + 14.0052i −0.102111 + 0.873619i 0.840976 + 0.541073i \(0.181982\pi\)
−0.943087 + 0.332546i \(0.892092\pi\)
\(258\) 7.97444 9.63781i 0.496467 0.600024i
\(259\) −8.23859 5.41860i −0.511921 0.336696i
\(260\) −0.310488 + 0.415838i −0.0192556 + 0.0257892i
\(261\) 11.7477 + 22.5311i 0.727165 + 1.39464i
\(262\) 3.42377 + 16.6403i 0.211521 + 1.02804i
\(263\) −3.33602 11.1431i −0.205708 0.687113i −0.997121 0.0758304i \(-0.975839\pi\)
0.791413 0.611282i \(-0.209346\pi\)
\(264\) −6.58727 + 28.4906i −0.405419 + 1.75348i
\(265\) −17.6160 8.84708i −1.08214 0.543472i
\(266\) 0.814712 + 9.38805i 0.0499532 + 0.575618i
\(267\) 0.838461 3.22708i 0.0513130 0.197494i
\(268\) −7.65409 1.36070i −0.467548 0.0831179i
\(269\) −5.80368 + 10.0523i −0.353857 + 0.612898i −0.986922 0.161201i \(-0.948463\pi\)
0.633065 + 0.774099i \(0.281797\pi\)
\(270\) −8.57256 26.4894i −0.521709 1.61209i
\(271\) −3.12705 + 1.80541i −0.189955 + 0.109671i −0.591961 0.805966i \(-0.701646\pi\)
0.402006 + 0.915637i \(0.368313\pi\)
\(272\) −6.90105 10.5569i −0.418438 0.640109i
\(273\) −0.128094 0.180010i −0.00775261 0.0108947i
\(274\) 17.5176 + 8.18358i 1.05828 + 0.494388i
\(275\) 55.7468 3.24688i 3.36166 0.195794i
\(276\) −0.0351868 0.375382i −0.00211799 0.0225953i
\(277\) 1.31056 5.52969i 0.0787440 0.332247i −0.919387 0.393354i \(-0.871315\pi\)
0.998131 + 0.0611066i \(0.0194630\pi\)
\(278\) −2.54246 2.86098i −0.152487 0.171590i
\(279\) −3.99366 + 2.71451i −0.239094 + 0.162514i
\(280\) 19.2683 + 5.20642i 1.15150 + 0.311143i
\(281\) −30.8931 1.79932i −1.84293 0.107338i −0.899094 0.437756i \(-0.855774\pi\)
−0.943835 + 0.330417i \(0.892811\pi\)
\(282\) 12.2880 + 14.4408i 0.731740 + 0.859937i
\(283\) −3.10806 + 4.17485i −0.184755 + 0.248169i −0.884845 0.465886i \(-0.845736\pi\)
0.700090 + 0.714055i \(0.253143\pi\)
\(284\) −16.6934 7.22863i −0.990572 0.428940i
\(285\) 17.6566 + 15.4742i 1.04588 + 0.916610i
\(286\) 0.431606 + 0.384640i 0.0255214 + 0.0227442i
\(287\) 1.82592 + 10.3553i 0.107781 + 0.611255i
\(288\) 3.62582 + 16.5787i 0.213653 + 0.976910i
\(289\) 1.22559 6.95067i 0.0720936 0.408863i
\(290\) −35.6194 + 28.1236i −2.09164 + 1.65147i
\(291\) 12.4850 + 30.7437i 0.731886 + 1.80223i
\(292\) −2.47117 + 0.736043i −0.144614 + 0.0430737i
\(293\) −23.8050 + 5.64188i −1.39070 + 0.329602i −0.856671 0.515864i \(-0.827471\pi\)
−0.534030 + 0.845466i \(0.679323\pi\)
\(294\) 4.70292 7.25902i 0.274280 0.423354i
\(295\) 4.17157 + 35.6900i 0.242878 + 2.07795i
\(296\) 14.9205 1.27374i 0.867236 0.0740344i
\(297\) −30.2244 + 6.96282i −1.75380 + 0.404024i
\(298\) 6.34040 + 15.9924i 0.367289 + 0.926417i
\(299\) −0.00684433 0.00295235i −0.000395818 0.000170739i
\(300\) 28.4290 15.5569i 1.64135 0.898178i
\(301\) −6.91843 + 6.52721i −0.398772 + 0.376222i
\(302\) −5.66775 12.1768i −0.326142 0.700697i
\(303\) 1.43478 4.44271i 0.0824258 0.255227i
\(304\) −9.79114 10.4365i −0.561561 0.598576i
\(305\) 33.5783 40.0170i 1.92269 2.29137i
\(306\) 6.85708 11.4864i 0.391993 0.656636i
\(307\) 17.6826 14.8375i 1.00920 0.846820i 0.0209681 0.999780i \(-0.493325\pi\)
0.988232 + 0.152960i \(0.0488807\pi\)
\(308\) 7.63405 20.8832i 0.434990 1.18993i
\(309\) 17.2440 9.46773i 0.980977 0.538600i
\(310\) −6.09428 6.10283i −0.346132 0.346618i
\(311\) −9.19748 21.3222i −0.521541 1.20907i −0.951900 0.306410i \(-0.900872\pi\)
0.430358 0.902658i \(-0.358387\pi\)
\(312\) 0.321942 + 0.0944586i 0.0182264 + 0.00534767i
\(313\) 13.0359 6.54689i 0.736834 0.370052i −0.0404667 0.999181i \(-0.512884\pi\)
0.777301 + 0.629129i \(0.216588\pi\)
\(314\) −9.69893 15.7491i −0.547342 0.888772i
\(315\) 3.99259 + 20.7902i 0.224957 + 1.17139i
\(316\) 13.7137 8.99208i 0.771454 0.505844i
\(317\) −9.28482 + 9.84134i −0.521488 + 0.552745i −0.933567 0.358403i \(-0.883321\pi\)
0.412079 + 0.911148i \(0.364803\pi\)
\(318\) −1.39218 + 12.6681i −0.0780699 + 0.710394i
\(319\) 27.7818 + 42.2402i 1.55548 + 2.36500i
\(320\) −27.8819 + 11.8881i −1.55865 + 0.664567i
\(321\) −8.47783 17.8258i −0.473187 0.994941i
\(322\) −0.00853899 + 0.286551i −0.000475859 + 0.0159689i
\(323\) 11.2806i 0.627668i
\(324\) −14.1205 + 11.1629i −0.784474 + 0.620162i
\(325\) 0.640699i 0.0355396i
\(326\) 29.9883 + 0.893626i 1.66090 + 0.0494934i
\(327\) −0.212504 0.0169654i −0.0117515 0.000938190i
\(328\) −11.9064 10.6408i −0.657419 0.587538i
\(329\) −7.92256 12.0457i −0.436785 0.664099i
\(330\) −22.2919 50.7136i −1.22713 2.79169i
\(331\) 4.38556 4.64842i 0.241052 0.255500i −0.595541 0.803325i \(-0.703062\pi\)
0.836593 + 0.547824i \(0.184544\pi\)
\(332\) 10.4042 6.82205i 0.571004 0.374408i
\(333\) 8.14971 + 13.6329i 0.446601 + 0.747079i
\(334\) 13.1560 8.10203i 0.719866 0.443323i
\(335\) 13.1608 6.60961i 0.719052 0.361121i
\(336\) −1.18625 12.8492i −0.0647150 0.700980i
\(337\) −4.04945 9.38768i −0.220588 0.511380i 0.771604 0.636103i \(-0.219455\pi\)
−0.992192 + 0.124724i \(0.960196\pi\)
\(338\) −13.0044 + 12.9862i −0.707347 + 0.706356i
\(339\) −26.3886 16.0012i −1.43323 0.869065i
\(340\) 22.4407 + 8.20342i 1.21702 + 0.444893i
\(341\) −7.36008 + 6.17584i −0.398571 + 0.334441i
\(342\) 5.39890 14.1858i 0.291939 0.767082i
\(343\) −12.6078 + 15.0253i −0.680755 + 0.811292i
\(344\) 2.12352 14.2874i 0.114492 0.770324i
\(345\) 0.478867 + 0.529934i 0.0257813 + 0.0285307i
\(346\) 30.4365 14.1668i 1.63627 0.761610i
\(347\) −9.36652 + 8.83686i −0.502821 + 0.474387i −0.895357 0.445349i \(-0.853079\pi\)
0.392536 + 0.919737i \(0.371598\pi\)
\(348\) 25.0674 + 15.2482i 1.34375 + 0.817388i
\(349\) −19.1846 8.27545i −1.02693 0.442974i −0.185102 0.982719i \(-0.559261\pi\)
−0.841829 + 0.539745i \(0.818521\pi\)
\(350\) −22.9067 + 9.08163i −1.22441 + 0.485434i
\(351\) 0.0595897 + 0.350841i 0.00318066 + 0.0187265i
\(352\) 10.5084 + 32.0892i 0.560101 + 1.71036i
\(353\) 0.156465 + 1.33864i 0.00832778 + 0.0712488i 0.996763 0.0803938i \(-0.0256178\pi\)
−0.988435 + 0.151643i \(0.951544\pi\)
\(354\) 20.6875 10.5689i 1.09953 0.561733i
\(355\) 33.5328 7.94742i 1.77974 0.421805i
\(356\) −1.09903 3.68984i −0.0582482 0.195561i
\(357\) −6.24809 + 8.02663i −0.330684 + 0.424814i
\(358\) 4.63382 + 5.86888i 0.244905 + 0.310180i
\(359\) 3.56259 20.2045i 0.188026 1.06635i −0.733978 0.679173i \(-0.762339\pi\)
0.922005 0.387178i \(-0.126550\pi\)
\(360\) −24.2940 21.0563i −1.28041 1.10977i
\(361\) −1.07675 6.10657i −0.0566712 0.321399i
\(362\) −8.68628 + 9.74692i −0.456541 + 0.512287i
\(363\) −40.3912 + 13.7257i −2.11999 + 0.720413i
\(364\) −0.234106 0.101373i −0.0122705 0.00531341i
\(365\) 2.91691 3.91809i 0.152678 0.205082i
\(366\) −31.8147 11.3317i −1.66298 0.592317i
\(367\) 8.26211 + 0.481213i 0.431279 + 0.0251191i 0.272412 0.962181i \(-0.412179\pi\)
0.158867 + 0.987300i \(0.449216\pi\)
\(368\) −0.258994 0.349935i −0.0135010 0.0182416i
\(369\) 4.61041 16.2974i 0.240009 0.848408i
\(370\) −21.2051 + 18.8443i −1.10240 + 0.979667i
\(371\) 2.23476 9.42920i 0.116023 0.489540i
\(372\) −2.32511 + 5.06798i −0.120552 + 0.262762i
\(373\) 15.6204 0.909783i 0.808792 0.0471068i 0.351235 0.936287i \(-0.385762\pi\)
0.457557 + 0.889180i \(0.348725\pi\)
\(374\) 11.2658 24.1153i 0.582538 1.24697i
\(375\) −11.8813 + 25.9935i −0.613549 + 1.34230i
\(376\) 20.7688 + 6.93057i 1.07107 + 0.357417i
\(377\) 0.502360 0.290038i 0.0258729 0.0149377i
\(378\) 11.6988 7.10351i 0.601722 0.365365i
\(379\) −11.9230 + 20.6513i −0.612444 + 1.06078i 0.378384 + 0.925649i \(0.376480\pi\)
−0.990827 + 0.135135i \(0.956853\pi\)
\(380\) 26.6913 + 4.74501i 1.36923 + 0.243414i
\(381\) −15.8691 15.6298i −0.813001 0.800737i
\(382\) −20.7008 + 1.79645i −1.05914 + 0.0919144i
\(383\) 17.3419 + 8.70943i 0.886130 + 0.445031i 0.832818 0.553547i \(-0.186726\pi\)
0.0533117 + 0.998578i \(0.483022\pi\)
\(384\) 13.4858 + 14.2173i 0.688195 + 0.725526i
\(385\) 12.0807 + 40.3522i 0.615687 + 2.05654i
\(386\) 11.3103 2.32713i 0.575681 0.118448i
\(387\) 14.6084 4.61654i 0.742588 0.234672i
\(388\) 30.7016 + 22.9235i 1.55864 + 1.16376i
\(389\) −6.82763 4.49060i −0.346174 0.227683i 0.364500 0.931203i \(-0.381240\pi\)
−0.710675 + 0.703521i \(0.751610\pi\)
\(390\) −0.595754 + 0.221502i −0.0301672 + 0.0112162i
\(391\) −0.0398407 + 0.340859i −0.00201483 + 0.0172380i
\(392\) 0.311490 9.98252i 0.0157326 0.504193i
\(393\) −7.53490 + 19.3947i −0.380085 + 0.978335i
\(394\) −6.35859 + 30.6859i −0.320341 + 1.54594i
\(395\) −10.6252 + 29.1926i −0.534614 + 1.46884i
\(396\) −25.7088 + 24.9343i −1.29192 + 1.25300i
\(397\) −1.88662 5.18346i −0.0946869 0.260150i 0.883303 0.468803i \(-0.155314\pi\)
−0.977990 + 0.208653i \(0.933092\pi\)
\(398\) −27.1692 + 3.96023i −1.36187 + 0.198508i
\(399\) −5.40009 + 10.1999i −0.270343 + 0.510633i
\(400\) 18.8011 32.3545i 0.940057 1.61772i
\(401\) 31.1487 + 9.32531i 1.55549 + 0.465684i 0.945200 0.326493i \(-0.105867\pi\)
0.610292 + 0.792177i \(0.291052\pi\)
\(402\) −6.97044 6.48598i −0.347654 0.323491i
\(403\) 0.0658290 + 0.0884236i 0.00327917 + 0.00440469i
\(404\) −1.23586 5.24731i −0.0614865 0.261064i
\(405\) 8.78243 32.9490i 0.436402 1.63725i
\(406\) −17.4904 13.8495i −0.868032 0.687341i
\(407\) 18.8716 + 25.3490i 0.935433 + 1.25650i
\(408\) −0.0848791 15.4468i −0.00420214 0.764730i
\(409\) −0.497312 + 1.66114i −0.0245905 + 0.0821380i −0.969404 0.245471i \(-0.921058\pi\)
0.944814 + 0.327609i \(0.106243\pi\)
\(410\) 30.1336 + 2.65765i 1.48819 + 0.131252i
\(411\) 12.5844 + 20.0597i 0.620744 + 0.989471i
\(412\) 11.3853 19.6562i 0.560914 0.968392i
\(413\) −16.5987 + 6.04142i −0.816767 + 0.297279i
\(414\) 0.213237 0.409578i 0.0104800 0.0201297i
\(415\) −8.06108 + 22.1476i −0.395703 + 1.08718i
\(416\) 0.374566 0.0989577i 0.0183646 0.00485180i
\(417\) −0.714617 4.63285i −0.0349949 0.226872i
\(418\) 7.83689 29.1658i 0.383315 1.42655i
\(419\) 0.582182 4.98089i 0.0284415 0.243332i −0.971538 0.236885i \(-0.923874\pi\)
0.999979 0.00644745i \(-0.00205230\pi\)
\(420\) 16.3638 + 18.1601i 0.798474 + 0.886120i
\(421\) −8.88948 + 13.5158i −0.433247 + 0.658720i −0.984453 0.175649i \(-0.943797\pi\)
0.551206 + 0.834369i \(0.314168\pi\)
\(422\) −0.909366 32.0257i −0.0442673 1.55899i
\(423\) 3.04625 + 23.0221i 0.148114 + 1.11937i
\(424\) 6.19116 + 13.3503i 0.300669 + 0.648346i
\(425\) −28.2585 + 8.46005i −1.37074 + 0.410373i
\(426\) −12.3710 18.5295i −0.599377 0.897758i
\(427\) 22.9480 + 11.5249i 1.11053 + 0.557729i
\(428\) −19.0255 12.5516i −0.919633 0.606702i
\(429\) 0.188451 + 0.682520i 0.00909852 + 0.0329524i
\(430\) 12.9698 + 24.0945i 0.625460 + 1.16194i
\(431\) 6.48504 11.2324i 0.312374 0.541047i −0.666502 0.745503i \(-0.732209\pi\)
0.978876 + 0.204456i \(0.0655426\pi\)
\(432\) −7.28612 + 19.4657i −0.350554 + 0.936543i
\(433\) −4.64172 8.03970i −0.223067 0.386363i 0.732671 0.680583i \(-0.238274\pi\)
−0.955738 + 0.294220i \(0.904940\pi\)
\(434\) 2.22828 3.60693i 0.106961 0.173138i
\(435\) −55.3335 + 5.26507i −2.65304 + 0.252441i
\(436\) −0.220130 + 0.110167i −0.0105423 + 0.00527605i
\(437\) 0.0226404 + 0.388721i 0.00108304 + 0.0185951i
\(438\) −3.03146 0.884821i −0.144849 0.0422784i
\(439\) 6.92963 29.2384i 0.330733 1.39547i −0.512851 0.858478i \(-0.671411\pi\)
0.843585 0.536996i \(-0.180441\pi\)
\(440\) −52.3211 36.8000i −2.49431 1.75437i
\(441\) 9.66197 4.34311i 0.460094 0.206815i
\(442\) −0.268705 0.145128i −0.0127810 0.00690303i
\(443\) −6.45231 0.375805i −0.306559 0.0178550i −0.0958240 0.995398i \(-0.530549\pi\)
−0.210735 + 0.977543i \(0.567586\pi\)
\(444\) 16.1967 + 8.60410i 0.768664 + 0.408332i
\(445\) 5.85031 + 4.35540i 0.277331 + 0.206466i
\(446\) −13.6738 + 3.65361i −0.647474 + 0.173003i
\(447\) −4.10376 + 20.6663i −0.194101 + 0.977483i
\(448\) −8.84731 11.9890i −0.417996 0.566428i
\(449\) −14.9737 + 2.64027i −0.706654 + 0.124602i −0.515414 0.856941i \(-0.672362\pi\)
−0.191240 + 0.981543i \(0.561251\pi\)
\(450\) 39.5854 + 2.88569i 1.86607 + 0.136033i
\(451\) 5.85180 33.1872i 0.275551 1.56273i
\(452\) −35.6351 0.0499996i −1.67613 0.00235179i
\(453\) 2.26035 16.2938i 0.106200 0.765550i
\(454\) −10.2093 + 14.5587i −0.479147 + 0.683272i
\(455\) 0.470260 0.111454i 0.0220461 0.00522503i
\(456\) −3.13826 17.2433i −0.146962 0.807493i
\(457\) 10.8314 1.26601i 0.506671 0.0592214i 0.141082 0.989998i \(-0.454942\pi\)
0.365589 + 0.930776i \(0.380868\pi\)
\(458\) 0.217515 1.47773i 0.0101638 0.0690498i
\(459\) 14.6873 7.26090i 0.685543 0.338910i
\(460\) 0.789757 + 0.237646i 0.0368226 + 0.0110803i
\(461\) −4.67811 + 10.8451i −0.217881 + 0.505105i −0.991742 0.128251i \(-0.959064\pi\)
0.773861 + 0.633356i \(0.218323\pi\)
\(462\) 21.7307 16.4121i 1.01100 0.763559i
\(463\) 21.3071 20.1022i 0.990223 0.934227i −0.00761347 0.999971i \(-0.502423\pi\)
0.997837 + 0.0657437i \(0.0209420\pi\)
\(464\) 33.8797 + 0.0950733i 1.57282 + 0.00441367i
\(465\) −2.21458 10.3283i −0.102699 0.478961i
\(466\) −9.01035 + 22.6341i −0.417396 + 1.04851i
\(467\) −12.4174 + 14.7985i −0.574609 + 0.684793i −0.972570 0.232610i \(-0.925274\pi\)
0.397961 + 0.917402i \(0.369718\pi\)
\(468\) 0.268450 + 0.311108i 0.0124091 + 0.0143810i
\(469\) 4.65356 + 5.54590i 0.214881 + 0.256086i
\(470\) −39.3813 + 13.0189i −1.81652 + 0.600516i
\(471\) 0.486757 22.6477i 0.0224286 1.04355i
\(472\) 14.1304 22.8013i 0.650402 1.04951i
\(473\) 27.9900 12.0737i 1.28698 0.555149i
\(474\) 20.0839 0.138541i 0.922485 0.00636338i
\(475\) −29.9089 + 15.0208i −1.37232 + 0.689203i
\(476\) −1.37992 + 11.6640i −0.0632486 + 0.534620i
\(477\) −9.85016 + 12.1080i −0.451008 + 0.554388i
\(478\) 1.73803 5.23277i 0.0794955 0.239342i
\(479\) 29.7117 31.4926i 1.35756 1.43893i 0.571817 0.820381i \(-0.306239\pi\)
0.785745 0.618551i \(-0.212280\pi\)
\(480\) −36.5848 6.29664i −1.66986 0.287401i
\(481\) 0.302942 0.199248i 0.0138129 0.00908492i
\(482\) 2.80650 + 4.01408i 0.127832 + 0.182836i
\(483\) −0.199196 + 0.289133i −0.00906371 + 0.0131560i
\(484\) −31.7160 + 37.6902i −1.44164 + 1.71319i
\(485\) −72.5851 −3.29592
\(486\) −21.9450 + 2.10156i −0.995446 + 0.0953288i
\(487\) 13.7050i 0.621035i −0.950568 0.310517i \(-0.899498\pi\)
0.950568 0.310517i \(-0.100502\pi\)
\(488\) −38.2080 + 7.80550i −1.72959 + 0.353339i
\(489\) 30.2584 + 20.8463i 1.36833 + 0.942702i
\(490\) 10.8413 + 15.5061i 0.489759 + 0.700494i
\(491\) −18.8606 28.6762i −0.851169 1.29414i −0.954111 0.299452i \(-0.903196\pi\)
0.102942 0.994687i \(-0.467174\pi\)
\(492\) −5.17871 18.8590i −0.233474 0.850229i
\(493\) −19.4257 18.3272i −0.874891 0.825417i
\(494\) −0.328842 0.109222i −0.0147953 0.00491415i
\(495\) 10.7646 66.9875i 0.483834 3.01086i
\(496\) 0.729514 + 6.39702i 0.0327561 + 0.287235i
\(497\) 7.60297 + 15.1388i 0.341040 + 0.679066i
\(498\) 15.2371 0.105107i 0.682792 0.00470996i
\(499\) 14.7710 + 34.2430i 0.661240 + 1.53293i 0.836243 + 0.548358i \(0.184747\pi\)
−0.175004 + 0.984568i \(0.555994\pi\)
\(500\) 3.78526 + 32.7838i 0.169282 + 1.46614i
\(501\) 18.9188 + 0.406614i 0.845229 + 0.0181662i
\(502\) 5.76760 + 17.4466i 0.257420 + 0.778680i
\(503\) −27.8452 + 23.3649i −1.24156 + 1.04179i −0.244155 + 0.969736i \(0.578511\pi\)
−0.997401 + 0.0720530i \(0.977045\pi\)
\(504\) 7.31774 14.0076i 0.325958 0.623949i
\(505\) 7.82326 + 6.56450i 0.348131 + 0.292116i
\(506\) 0.339811 0.853609i 0.0151064 0.0379476i
\(507\) −22.0083 + 4.71901i −0.977423 + 0.209579i
\(508\) −25.0179 5.96643i −1.10999 0.264718i
\(509\) 9.97121 + 10.5689i 0.441966 + 0.468457i 0.909612 0.415459i \(-0.136379\pi\)
−0.467646 + 0.883916i \(0.654898\pi\)
\(510\) 17.6361 + 23.3514i 0.780941 + 1.03402i
\(511\) 2.20482 + 0.951065i 0.0975353 + 0.0420726i
\(512\) 21.8190 + 5.99429i 0.964272 + 0.264913i
\(513\) 14.9808 11.0070i 0.661419 0.485972i
\(514\) −2.90395 + 19.7286i −0.128088 + 0.870190i
\(515\) 4.99575 + 42.7414i 0.220139 + 1.88341i
\(516\) 11.6785 13.2880i 0.514119 0.584970i
\(517\) 10.6558 + 44.9605i 0.468643 + 1.97736i
\(518\) −11.4177 8.00670i −0.501665 0.351794i
\(519\) 40.7270 + 5.64983i 1.78772 + 0.248000i
\(520\) −0.456418 + 0.574744i −0.0200152 + 0.0252042i
\(521\) −11.5530 2.03710i −0.506145 0.0892470i −0.0852556 0.996359i \(-0.527171\pi\)
−0.420889 + 0.907112i \(0.638282\pi\)
\(522\) 15.6573 + 32.3445i 0.685302 + 1.41568i
\(523\) −7.66606 43.4764i −0.335214 1.90109i −0.425114 0.905140i \(-0.639766\pi\)
0.0899002 0.995951i \(-0.471345\pi\)
\(524\) 4.13884 + 23.6667i 0.180806 + 1.03388i
\(525\) −29.6013 5.87799i −1.29191 0.256536i
\(526\) −4.24637 15.8922i −0.185150 0.692935i
\(527\) 3.03077 4.07102i 0.132022 0.177337i
\(528\) −10.5118 + 39.9965i −0.457468 + 1.74062i
\(529\) 1.33664 22.9493i 0.0581149 0.997794i
\(530\) −24.5290 13.2482i −1.06547 0.575463i
\(531\) 28.3064 + 2.87318i 1.22840 + 0.124685i
\(532\) 0.756206 + 13.3051i 0.0327857 + 0.576851i
\(533\) −0.376228 0.0891676i −0.0162962 0.00386228i
\(534\) 1.32117 4.52644i 0.0571728 0.195878i
\(535\) 43.1058 2.51063i 1.86363 0.108544i
\(536\) −10.7624 2.24588i −0.464865 0.0970074i
\(537\) 0.867506 + 9.11709i 0.0374357 + 0.393432i
\(538\) −8.62744 + 13.9653i −0.371955 + 0.602086i
\(539\) 18.2533 10.5386i 0.786227 0.453928i
\(540\) −11.0022 37.8062i −0.473460 1.62692i
\(541\) 17.9384 + 10.3567i 0.771232 + 0.445271i 0.833314 0.552800i \(-0.186441\pi\)
−0.0620819 + 0.998071i \(0.519774\pi\)
\(542\) −4.49641 + 2.42037i −0.193137 + 0.103964i
\(543\) −15.4133 + 4.25578i −0.661447 + 0.182633i
\(544\) −9.31053 15.2139i −0.399186 0.652289i
\(545\) 0.209286 0.416723i 0.00896484 0.0178505i
\(546\) −0.173489 0.259856i −0.00742466 0.0111208i
\(547\) −1.78353 5.95742i −0.0762584 0.254721i 0.911357 0.411618i \(-0.135036\pi\)
−0.987615 + 0.156897i \(0.949851\pi\)
\(548\) 24.4180 + 12.3061i 1.04308 + 0.525691i
\(549\) −25.2015 32.7987i −1.07557 1.39982i
\(550\) 78.9396 2.24148i 3.36600 0.0955772i
\(551\) −25.3170 16.6513i −1.07854 0.709368i
\(552\) −0.0339271 0.532116i −0.00144403 0.0226484i
\(553\) −15.1682 1.77291i −0.645018 0.0753918i
\(554\) 2.08552 7.76149i 0.0886054 0.329754i
\(555\) −34.3378 + 5.29661i −1.45756 + 0.224828i
\(556\) −3.47348 4.15134i −0.147308 0.176056i
\(557\) 16.0078 + 5.82636i 0.678272 + 0.246871i 0.658105 0.752926i \(-0.271358\pi\)
0.0201664 + 0.999797i \(0.493580\pi\)
\(558\) −5.75973 + 3.66897i −0.243829 + 0.155320i
\(559\) −0.119621 0.328656i −0.00505944 0.0139007i
\(560\) 27.0181 + 8.17138i 1.14172 + 0.345304i
\(561\) 27.6147 17.3241i 1.16590 0.731424i
\(562\) −43.5943 3.84483i −1.83891 0.162184i
\(563\) 5.16089 + 1.54507i 0.217506 + 0.0651169i 0.393702 0.919238i \(-0.371194\pi\)
−0.176196 + 0.984355i \(0.556379\pi\)
\(564\) 16.7619 + 20.9309i 0.705801 + 0.881351i
\(565\) 54.1493 40.3127i 2.27808 1.69597i
\(566\) −4.56937 + 5.77059i −0.192065 + 0.242556i
\(567\) 16.7561 + 0.465596i 0.703690 + 0.0195532i
\(568\) −23.2931 10.9215i −0.977356 0.458255i
\(569\) −0.820575 + 0.610895i −0.0344003 + 0.0256101i −0.614221 0.789134i \(-0.710530\pi\)
0.579821 + 0.814744i \(0.303122\pi\)
\(570\) 24.3072 + 22.6178i 1.01812 + 0.947356i
\(571\) −1.38022 + 4.61027i −0.0577606 + 0.192934i −0.982000 0.188879i \(-0.939515\pi\)
0.924240 + 0.381812i \(0.124700\pi\)
\(572\) 0.593910 + 0.561903i 0.0248326 + 0.0234943i
\(573\) −22.4909 11.9073i −0.939571 0.497434i
\(574\) 2.14489 + 14.7150i 0.0895261 + 0.614194i
\(575\) −0.956793 + 0.348244i −0.0399010 + 0.0145228i
\(576\) 4.42705 + 23.5882i 0.184460 + 0.982840i
\(577\) 14.1939 + 5.16615i 0.590899 + 0.215070i 0.620125 0.784503i \(-0.287082\pi\)
−0.0292257 + 0.999573i \(0.509304\pi\)
\(578\) 2.02527 9.77375i 0.0842400 0.406534i
\(579\) 13.1826 + 5.12145i 0.547848 + 0.212840i
\(580\) −51.5357 + 38.2547i −2.13990 + 1.58844i
\(581\) −11.5077 1.34506i −0.477420 0.0558024i
\(582\) 16.3536 + 43.9849i 0.677881 + 1.82323i
\(583\) −17.0657 + 25.9471i −0.706789 + 1.07462i
\(584\) −3.52422 + 0.936365i −0.145833 + 0.0387471i
\(585\) −0.760104 0.167989i −0.0314264 0.00694549i
\(586\) −33.8880 + 6.97253i −1.39990 + 0.288032i
\(587\) −14.4331 + 4.32098i −0.595717 + 0.178346i −0.570447 0.821335i \(-0.693230\pi\)
−0.0252703 + 0.999681i \(0.508045\pi\)
\(588\) 6.95376 10.0631i 0.286768 0.414997i
\(589\) 2.58445 5.14605i 0.106490 0.212039i
\(590\) 4.39347 + 50.6267i 0.180876 + 2.08427i
\(591\) −26.9323 + 27.3448i −1.10785 + 1.12482i
\(592\) 21.1451 1.17203i 0.869056 0.0481701i
\(593\) −9.23403 5.33127i −0.379196 0.218929i 0.298272 0.954481i \(-0.403590\pi\)
−0.677468 + 0.735552i \(0.736923\pi\)
\(594\) −43.0181 + 8.56938i −1.76506 + 0.351606i
\(595\) −11.1253 19.2695i −0.456092 0.789974i
\(596\) 8.28904 + 22.8738i 0.339532 + 0.936946i
\(597\) −30.5835 13.9793i −1.25170 0.572136i
\(598\) −0.00955068 0.00446172i −0.000390556 0.000182453i
\(599\) −0.223896 3.84414i −0.00914813 0.157067i −0.999788 0.0205691i \(-0.993452\pi\)
0.990640 0.136498i \(-0.0435848\pi\)
\(600\) 40.8421 20.7935i 1.66737 0.848890i
\(601\) 13.0676 + 3.09708i 0.533039 + 0.126333i 0.488316 0.872667i \(-0.337611\pi\)
0.0447231 + 0.998999i \(0.485759\pi\)
\(602\) −10.0548 + 8.93534i −0.409801 + 0.364177i
\(603\) −2.86139 11.3046i −0.116525 0.460360i
\(604\) −7.49892 17.4517i −0.305127 0.710101i
\(605\) 5.42589 93.1590i 0.220594 3.78745i
\(606\) 2.21532 6.21971i 0.0899914 0.252659i
\(607\) 1.94193 + 1.44572i 0.0788206 + 0.0586798i 0.635848 0.771815i \(-0.280651\pi\)
−0.557027 + 0.830494i \(0.688058\pi\)
\(608\) −13.4010 15.1654i −0.543482 0.615037i
\(609\) −8.79137 25.8707i −0.356244 1.04833i
\(610\) 49.1515 55.1531i 1.99008 2.23308i
\(611\) 0.522093 0.0920591i 0.0211216 0.00372431i
\(612\) 10.1769 15.9482i 0.411378 0.644669i
\(613\) −4.18505 0.737937i −0.169032 0.0298050i 0.0884913 0.996077i \(-0.471795\pi\)
−0.257524 + 0.966272i \(0.582907\pi\)
\(614\) 25.6209 20.2292i 1.03398 0.816384i
\(615\) 29.2357 + 22.7577i 1.17890 + 0.917679i
\(616\) 11.6711 29.1986i 0.470241 1.17644i
\(617\) −10.7325 45.2842i −0.432076 1.82307i −0.556507 0.830843i \(-0.687859\pi\)
0.124431 0.992228i \(-0.460290\pi\)
\(618\) 24.7747 12.6571i 0.996585 0.509142i
\(619\) −13.8157 + 1.61483i −0.555302 + 0.0649055i −0.389116 0.921189i \(-0.627219\pi\)
−0.166186 + 0.986094i \(0.553145\pi\)
\(620\) −8.35771 8.88359i −0.335654 0.356774i
\(621\) 0.491542 0.279684i 0.0197249 0.0112233i
\(622\) −12.1033 30.5281i −0.485297 1.22407i
\(623\) −1.42009 + 3.29213i −0.0568946 + 0.131896i
\(624\) 0.451114 + 0.147087i 0.0180590 + 0.00588818i
\(625\) −10.8034 11.4509i −0.432136 0.458037i
\(626\) 18.7032 8.70547i 0.747530 0.347941i
\(627\) 27.4431 24.7986i 1.09597 0.990359i
\(628\) −13.0469 22.6712i −0.520626 0.904681i
\(629\) −12.7882 10.7305i −0.509897 0.427855i
\(630\) 4.76811 + 29.5569i 0.189966 + 1.17757i
\(631\) −15.9198 18.9725i −0.633757 0.755282i 0.349613 0.936894i \(-0.386313\pi\)
−0.983370 + 0.181612i \(0.941869\pi\)
\(632\) 19.7642 12.1334i 0.786179 0.482641i
\(633\) 20.3452 33.5526i 0.808650 1.33360i
\(634\) −13.5395 + 13.5205i −0.537720 + 0.536966i
\(635\) 44.7385 19.2983i 1.77539 0.765829i
\(636\) −2.50160 + 17.8489i −0.0991950 + 0.707754i
\(637\) −0.108533 0.216107i −0.00430024 0.00856248i
\(638\) 37.4927 + 60.8804i 1.48435 + 2.41028i
\(639\) −0.414720 27.2838i −0.0164061 1.07933i
\(640\) −39.9143 + 15.6304i −1.57775 + 0.617846i
\(641\) 8.68663 + 8.19542i 0.343101 + 0.323699i 0.838433 0.545004i \(-0.183472\pi\)
−0.495332 + 0.868704i \(0.664954\pi\)
\(642\) −11.2333 25.5555i −0.443341 1.00859i
\(643\) −22.0771 + 14.5204i −0.870637 + 0.572627i −0.904344 0.426805i \(-0.859639\pi\)
0.0337065 + 0.999432i \(0.489269\pi\)
\(644\) −0.0241412 + 0.404705i −0.000951296 + 0.0159476i
\(645\) −2.66708 + 33.4070i −0.105016 + 1.31540i
\(646\) −0.475179 + 15.9461i −0.0186957 + 0.627389i
\(647\) 34.7395 1.36575 0.682876 0.730535i \(-0.260729\pi\)
0.682876 + 0.730535i \(0.260729\pi\)
\(648\) −20.4308 + 15.1849i −0.802598 + 0.596520i
\(649\) 56.6102 2.22215
\(650\) 0.0269886 0.905683i 0.00105858 0.0355238i
\(651\) 4.68925 2.23017i 0.183786 0.0874073i
\(652\) 42.3533 + 2.52643i 1.65868 + 0.0989428i
\(653\) −22.4951 + 14.7953i −0.880302 + 0.578984i −0.907221 0.420654i \(-0.861801\pi\)
0.0269192 + 0.999638i \(0.491430\pi\)
\(654\) −0.299677 0.0329335i −0.0117183 0.00128780i
\(655\) −33.1062 31.2341i −1.29357 1.22042i
\(656\) −16.3824 15.5432i −0.639627 0.606859i
\(657\) −2.53084 2.92469i −0.0987376 0.114103i
\(658\) −10.6918 17.3613i −0.416810 0.676814i
\(659\) −11.4961 22.8906i −0.447824 0.891690i −0.998380 0.0568925i \(-0.981881\pi\)
0.550557 0.834798i \(-0.314416\pi\)
\(660\) −29.3753 72.6271i −1.14343 2.82701i
\(661\) −17.0828 + 7.36880i −0.664444 + 0.286613i −0.701468 0.712701i \(-0.747472\pi\)
0.0370237 + 0.999314i \(0.488212\pi\)
\(662\) 6.39517 6.38621i 0.248555 0.248207i
\(663\) −0.180010 0.327861i −0.00699102 0.0127331i
\(664\) 14.9946 9.20529i 0.581902 0.357234i
\(665\) −16.2278 19.3396i −0.629289 0.749957i
\(666\) 10.9460 + 19.6146i 0.424151 + 0.760050i
\(667\) −0.706182 0.592557i −0.0273435 0.0229439i
\(668\) 18.9385 10.8987i 0.732752 0.421685i
\(669\) −16.4956 5.32726i −0.637755 0.205964i
\(670\) 18.8824 8.78887i 0.729489 0.339544i
\(671\) −56.4767 59.8619i −2.18026 2.31094i
\(672\) −1.13561 18.2134i −0.0438069 0.702597i
\(673\) −0.211731 + 0.490847i −0.00816163 + 0.0189208i −0.922248 0.386598i \(-0.873650\pi\)
0.914087 + 0.405519i \(0.132909\pi\)
\(674\) −5.32880 13.4409i −0.205258 0.517723i
\(675\) 38.8084 + 29.2730i 1.49374 + 1.12672i
\(676\) −18.9299 + 17.8093i −0.728073 + 0.684973i
\(677\) 39.3471 4.59902i 1.51223 0.176755i 0.680837 0.732435i \(-0.261616\pi\)
0.831396 + 0.555680i \(0.187542\pi\)
\(678\) −36.6286 23.7306i −1.40671 0.911370i
\(679\) −8.22869 34.7196i −0.315788 1.33241i
\(680\) 31.3763 + 12.5415i 1.20323 + 0.480946i
\(681\) −20.1776 + 8.19412i −0.773206 + 0.313999i
\(682\) −10.6643 + 8.42005i −0.408355 + 0.322420i
\(683\) −33.1938 5.85296i −1.27013 0.223957i −0.502343 0.864668i \(-0.667529\pi\)
−0.767782 + 0.640711i \(0.778640\pi\)
\(684\) 8.22937 19.8255i 0.314658 0.758046i
\(685\) −51.0132 + 8.99500i −1.94911 + 0.343681i
\(686\) −18.4551 + 20.7085i −0.704618 + 0.790655i
\(687\) 1.20572 1.37577i 0.0460011 0.0524889i
\(688\) 3.60361 20.1070i 0.137386 0.766572i
\(689\) 0.285818 + 0.212783i 0.0108888 + 0.00810640i
\(690\) 0.654597 + 0.769279i 0.0249201 + 0.0292859i
\(691\) −1.55794 + 26.7489i −0.0592670 + 1.01758i 0.829293 + 0.558814i \(0.188744\pi\)
−0.888560 + 0.458761i \(0.848293\pi\)
\(692\) 43.6213 18.7438i 1.65823 0.712534i
\(693\) 33.2624 2.44508i 1.26354 0.0928808i
\(694\) −13.6126 + 12.0971i −0.516728 + 0.459200i
\(695\) 9.97770 + 2.36476i 0.378476 + 0.0897004i
\(696\) 34.7926 + 22.6105i 1.31881 + 0.857050i
\(697\) 1.03506 + 17.7713i 0.0392056 + 0.673134i
\(698\) −26.7705 12.5062i −1.01328 0.473366i
\(699\) −24.3101 + 17.2989i −0.919493 + 0.654305i
\(700\) −32.7631 + 11.8728i −1.23833 + 0.448748i
\(701\) −18.5001 32.0430i −0.698738 1.21025i −0.968904 0.247436i \(-0.920412\pi\)
0.270167 0.962814i \(-0.412921\pi\)
\(702\) 0.0694564 + 0.498454i 0.00262146 + 0.0188129i
\(703\) −16.4035 9.47058i −0.618671 0.357190i
\(704\) 13.5029 + 45.8035i 0.508908 + 1.72629i
\(705\) −49.1668 12.7745i −1.85173 0.481117i
\(706\) 0.164788 + 1.89888i 0.00620188 + 0.0714652i
\(707\) −2.25310 + 4.48629i −0.0847365 + 0.168724i
\(708\) 29.6887 14.0687i 1.11577 0.528734i
\(709\) 3.76809 1.12809i 0.141514 0.0423664i −0.215263 0.976556i \(-0.569061\pi\)
0.356777 + 0.934190i \(0.383876\pi\)
\(710\) 47.7363 9.82184i 1.79151 0.368607i
\(711\) 20.7546 + 13.2031i 0.778359 + 0.495153i
\(712\) −1.39814 5.26220i −0.0523974 0.197209i
\(713\) 0.0962676 0.146368i 0.00360525 0.00548152i
\(714\) −9.17032 + 11.0831i −0.343191 + 0.414776i
\(715\) −1.53839 0.179812i −0.0575325 0.00672458i
\(716\) 6.30308 + 8.49136i 0.235557 + 0.317337i
\(717\) 5.26523 4.22863i 0.196634 0.157921i
\(718\) 5.88712 28.4107i 0.219705 1.06028i
\(719\) 12.8968 + 4.69407i 0.480971 + 0.175059i 0.571116 0.820869i \(-0.306511\pi\)
−0.0901446 + 0.995929i \(0.528733\pi\)
\(720\) −33.4547 30.7883i −1.24678 1.14741i
\(721\) −19.8781 + 7.23504i −0.740299 + 0.269447i
\(722\) −1.26485 8.67752i −0.0470729 0.322944i
\(723\) 0.220032 + 5.99462i 0.00818306 + 0.222942i
\(724\) −12.6894 + 13.4122i −0.471597 + 0.498461i
\(725\) 22.7256 75.9087i 0.844006 2.81918i
\(726\) −57.6746 + 17.7010i −2.14051 + 0.656947i
\(727\) 5.99613 4.46395i 0.222384 0.165559i −0.480201 0.877158i \(-0.659436\pi\)
0.702585 + 0.711600i \(0.252029\pi\)
\(728\) −0.326659 0.153161i −0.0121068 0.00567654i
\(729\) −23.9737 12.4202i −0.887916 0.460006i
\(730\) 4.28835 5.41569i 0.158719 0.200444i
\(731\) −12.9161 + 9.61571i −0.477721 + 0.355650i
\(732\) −44.4955 17.3585i −1.64460 0.641587i
\(733\) 29.8915 + 8.94892i 1.10407 + 0.330536i 0.786432 0.617677i \(-0.211926\pi\)
0.317635 + 0.948213i \(0.397111\pi\)
\(734\) 11.6589 + 1.02827i 0.430339 + 0.0379540i
\(735\) 0.849966 + 23.1568i 0.0313515 + 0.854151i
\(736\) −0.351370 0.505573i −0.0129517 0.0186357i
\(737\) −7.93555 21.8027i −0.292310 0.803114i
\(738\) 7.20372 22.8436i 0.265173 0.840883i
\(739\) 40.2019 + 14.6323i 1.47885 + 0.538258i 0.950488 0.310760i \(-0.100584\pi\)
0.528364 + 0.849018i \(0.322806\pi\)
\(740\) −30.7690 + 25.7448i −1.13109 + 0.946396i
\(741\) −0.265739 0.330881i −0.00976215 0.0121552i
\(742\) 3.55622 13.2348i 0.130553 0.485866i
\(743\) −14.7009 1.71829i −0.539323 0.0630378i −0.157929 0.987450i \(-0.550482\pi\)
−0.381394 + 0.924413i \(0.624556\pi\)
\(744\) −3.50023 + 7.06608i −0.128325 + 0.259055i
\(745\) −38.5074 25.3267i −1.41080 0.927899i
\(746\) 22.1191 0.628068i 0.809836 0.0229952i
\(747\) 15.7460 + 10.0168i 0.576115 + 0.366495i
\(748\) 16.9409 33.6145i 0.619422 1.22907i
\(749\) 6.08765 + 20.3342i 0.222438 + 0.742994i
\(750\) −17.8902 + 36.2436i −0.653259 + 1.32343i
\(751\) −0.705285 + 1.40434i −0.0257362 + 0.0512450i −0.906133 0.422992i \(-0.860980\pi\)
0.880397 + 0.474237i \(0.157276\pi\)
\(752\) 29.0665 + 10.6718i 1.05995 + 0.389161i
\(753\) −5.65935 + 21.7818i −0.206238 + 0.793772i
\(754\) 0.722347 0.388832i 0.0263063 0.0141604i
\(755\) 31.1627 + 17.9918i 1.13413 + 0.654789i
\(756\) 16.8365 9.54862i 0.612338 0.347280i
\(757\) 41.9204 24.2028i 1.52362 0.879665i 0.524015 0.851709i \(-0.324434\pi\)
0.999609 0.0279554i \(-0.00889963\pi\)
\(758\) −17.7241 + 28.6901i −0.643768 + 1.04207i
\(759\) 0.916817 0.652401i 0.0332783 0.0236807i
\(760\) 37.5305 + 7.83182i 1.36137 + 0.284090i
\(761\) −35.2570 + 2.05349i −1.27807 + 0.0744389i −0.683705 0.729759i \(-0.739632\pi\)
−0.594362 + 0.804198i \(0.702595\pi\)
\(762\) −21.7740 22.7625i −0.788790 0.824598i
\(763\) 0.223057 + 0.0528655i 0.00807521 + 0.00191386i
\(764\) −29.3380 + 1.66744i −1.06141 + 0.0603260i
\(765\) 2.62744 + 35.7432i 0.0949952 + 1.29230i
\(766\) 24.1474 + 13.0420i 0.872481 + 0.471228i
\(767\) 0.0377663 0.648423i 0.00136366 0.0234132i
\(768\) 18.4645 + 20.6655i 0.666279 + 0.745703i
\(769\) 7.26597 9.75989i 0.262018 0.351951i −0.651573 0.758586i \(-0.725891\pi\)
0.913591 + 0.406635i \(0.133298\pi\)
\(770\) 15.3773 + 57.5502i 0.554158 + 2.07396i
\(771\) −16.0971 + 18.3673i −0.579722 + 0.661483i
\(772\) 16.0862 2.81316i 0.578954 0.101248i