Properties

Label 43.2.g.a.31.2
Level $43$
Weight $2$
Character 43.31
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 31.2
Character \(\chi\) \(=\) 43.31
Dual form 43.2.g.a.25.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.118393 - 0.0570152i) q^{2} +(1.09131 - 0.744044i) q^{3} +(-1.23621 + 1.55016i) q^{4} +(-1.30537 - 1.21121i) q^{5} +(0.0867822 - 0.150311i) q^{6} +(-0.00749281 - 0.0129779i) q^{7} +(-0.116458 + 0.510236i) q^{8} +(-0.458662 + 1.16865i) q^{9} +O(q^{10})\) \(q+(0.118393 - 0.0570152i) q^{2} +(1.09131 - 0.744044i) q^{3} +(-1.23621 + 1.55016i) q^{4} +(-1.30537 - 1.21121i) q^{5} +(0.0867822 - 0.150311i) q^{6} +(-0.00749281 - 0.0129779i) q^{7} +(-0.116458 + 0.510236i) q^{8} +(-0.458662 + 1.16865i) q^{9} +(-0.223604 - 0.0689728i) q^{10} +(-1.29669 - 1.62599i) q^{11} +(-0.195705 + 2.61151i) q^{12} +(-1.55224 + 0.478804i) q^{13} +(-0.00162704 - 0.00110929i) q^{14} +(-2.32576 - 0.350552i) q^{15} +(-0.867096 - 3.79899i) q^{16} +(4.42356 - 4.10446i) q^{17} +(0.0123284 + 0.164511i) q^{18} +(2.78497 + 7.09598i) q^{19} +(3.49129 - 0.526227i) q^{20} +(-0.0178331 - 0.00858798i) q^{21} +(-0.246225 - 0.118576i) q^{22} +(5.24284 - 0.790231i) q^{23} +(0.252546 + 0.643476i) q^{24} +(-0.136680 - 1.82386i) q^{25} +(-0.156476 + 0.145189i) q^{26} +(1.25072 + 5.47974i) q^{27} +(0.0293806 + 0.00442841i) q^{28} +(-5.92981 - 4.04287i) q^{29} +(-0.295341 + 0.0911007i) q^{30} +(0.178251 - 2.37860i) q^{31} +(-0.971874 - 1.21869i) q^{32} +(-2.62490 - 0.809675i) q^{33} +(0.289703 - 0.738150i) q^{34} +(-0.00593807 + 0.0260164i) q^{35} +(-1.24460 - 2.15571i) q^{36} +(-2.52043 + 4.36551i) q^{37} +(0.734300 + 0.681331i) q^{38} +(-1.33773 + 1.67746i) q^{39} +(0.770022 - 0.524992i) q^{40} +(-3.20110 + 1.54157i) q^{41} -0.00260097 q^{42} +(-1.84169 + 6.29350i) q^{43} +4.12354 q^{44} +(2.01421 - 0.969991i) q^{45} +(0.575662 - 0.392479i) q^{46} +(-6.24911 + 7.83614i) q^{47} +(-3.77289 - 3.50073i) q^{48} +(3.49989 - 6.06198i) q^{49} +(-0.120170 - 0.208140i) q^{50} +(1.77358 - 7.77057i) q^{51} +(1.17668 - 2.99813i) q^{52} +(-6.55236 - 2.02113i) q^{53} +(0.460505 + 0.577454i) q^{54} +(-0.276759 + 3.69309i) q^{55} +(0.00749439 - 0.00231171i) q^{56} +(8.31899 + 5.67179i) q^{57} +(-0.932554 - 0.140560i) q^{58} +(0.370875 + 1.62491i) q^{59} +(3.41855 - 3.17195i) q^{60} +(-0.452207 - 6.03428i) q^{61} +(-0.114512 - 0.291773i) q^{62} +(0.0186034 - 0.00280400i) q^{63} +(6.83705 + 3.29255i) q^{64} +(2.60619 + 1.25507i) q^{65} +(-0.356934 + 0.0537992i) q^{66} +(0.523545 + 1.33397i) q^{67} +(0.894122 + 11.9312i) q^{68} +(5.13361 - 4.76329i) q^{69} +(0.000780301 + 0.00341872i) q^{70} +(6.96679 + 1.05007i) q^{71} +(-0.542873 - 0.370125i) q^{72} +(9.32817 - 2.87736i) q^{73} +(-0.0495013 + 0.660549i) q^{74} +(-1.50620 - 1.88871i) q^{75} +(-14.4427 - 4.45500i) q^{76} +(-0.0113862 + 0.0290116i) q^{77} +(-0.0627375 + 0.274871i) q^{78} +(-6.00573 - 10.4022i) q^{79} +(-3.46949 + 6.00933i) q^{80} +(2.68119 + 2.48778i) q^{81} +(-0.291096 + 0.365023i) q^{82} +(7.49232 - 5.10817i) q^{83} +(0.0353583 - 0.0170277i) q^{84} -10.7457 q^{85} +(0.140781 + 0.850113i) q^{86} -9.47935 q^{87} +(0.980650 - 0.472256i) q^{88} +(-13.1407 + 8.95920i) q^{89} +(0.183164 - 0.229681i) q^{90} +(0.0178445 + 0.0165573i) q^{91} +(-5.25628 + 9.10415i) q^{92} +(-1.57525 - 2.72842i) q^{93} +(-0.293074 + 1.28404i) q^{94} +(4.95929 - 12.6361i) q^{95} +(-1.96738 - 0.606856i) q^{96} +(8.44749 + 10.5928i) q^{97} +(0.0687380 - 0.917245i) q^{98} +(2.49496 - 0.769595i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{17}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.118393 0.0570152i 0.0837167 0.0403158i −0.391557 0.920154i \(-0.628063\pi\)
0.475274 + 0.879838i \(0.342349\pi\)
\(3\) 1.09131 0.744044i 0.630069 0.429574i −0.205730 0.978609i \(-0.565957\pi\)
0.835800 + 0.549035i \(0.185005\pi\)
\(4\) −1.23621 + 1.55016i −0.618107 + 0.775081i
\(5\) −1.30537 1.21121i −0.583780 0.541669i 0.332036 0.943267i \(-0.392264\pi\)
−0.915816 + 0.401598i \(0.868455\pi\)
\(6\) 0.0867822 0.150311i 0.0354287 0.0613643i
\(7\) −0.00749281 0.0129779i −0.00283201 0.00490519i 0.864606 0.502451i \(-0.167568\pi\)
−0.867438 + 0.497545i \(0.834235\pi\)
\(8\) −0.116458 + 0.510236i −0.0411741 + 0.180396i
\(9\) −0.458662 + 1.16865i −0.152887 + 0.389551i
\(10\) −0.223604 0.0689728i −0.0707099 0.0218111i
\(11\) −1.29669 1.62599i −0.390966 0.490256i 0.546927 0.837180i \(-0.315797\pi\)
−0.937893 + 0.346924i \(0.887226\pi\)
\(12\) −0.195705 + 2.61151i −0.0564953 + 0.753877i
\(13\) −1.55224 + 0.478804i −0.430515 + 0.132796i −0.502437 0.864614i \(-0.667563\pi\)
0.0719219 + 0.997410i \(0.477087\pi\)
\(14\) −0.00162704 0.00110929i −0.000434844 0.000296471i
\(15\) −2.32576 0.350552i −0.600509 0.0905121i
\(16\) −0.867096 3.79899i −0.216774 0.949748i
\(17\) 4.42356 4.10446i 1.07287 0.995478i 0.0728722 0.997341i \(-0.476783\pi\)
0.999998 + 0.00186302i \(0.000593018\pi\)
\(18\) 0.0123284 + 0.164511i 0.00290584 + 0.0387757i
\(19\) 2.78497 + 7.09598i 0.638916 + 1.62793i 0.771107 + 0.636706i \(0.219704\pi\)
−0.132191 + 0.991224i \(0.542201\pi\)
\(20\) 3.49129 0.526227i 0.780676 0.117668i
\(21\) −0.0178331 0.00858798i −0.00389151 0.00187405i
\(22\) −0.246225 0.118576i −0.0524954 0.0252805i
\(23\) 5.24284 0.790231i 1.09321 0.164775i 0.422403 0.906408i \(-0.361187\pi\)
0.670805 + 0.741634i \(0.265949\pi\)
\(24\) 0.252546 + 0.643476i 0.0515507 + 0.131349i
\(25\) −0.136680 1.82386i −0.0273359 0.364773i
\(26\) −0.156476 + 0.145189i −0.0306875 + 0.0284738i
\(27\) 1.25072 + 5.47974i 0.240700 + 1.05458i
\(28\) 0.0293806 + 0.00442841i 0.00555241 + 0.000836891i
\(29\) −5.92981 4.04287i −1.10114 0.750743i −0.130538 0.991443i \(-0.541671\pi\)
−0.970599 + 0.240700i \(0.922623\pi\)
\(30\) −0.295341 + 0.0911007i −0.0539217 + 0.0166326i
\(31\) 0.178251 2.37860i 0.0320149 0.427209i −0.958050 0.286600i \(-0.907475\pi\)
0.990065 0.140609i \(-0.0449060\pi\)
\(32\) −0.971874 1.21869i −0.171805 0.215436i
\(33\) −2.62490 0.809675i −0.456937 0.140946i
\(34\) 0.289703 0.738150i 0.0496836 0.126592i
\(35\) −0.00593807 + 0.0260164i −0.00100372 + 0.00439757i
\(36\) −1.24460 2.15571i −0.207433 0.359284i
\(37\) −2.52043 + 4.36551i −0.414356 + 0.717685i −0.995361 0.0962150i \(-0.969326\pi\)
0.581005 + 0.813900i \(0.302660\pi\)
\(38\) 0.734300 + 0.681331i 0.119119 + 0.110526i
\(39\) −1.33773 + 1.67746i −0.214208 + 0.268609i
\(40\) 0.770022 0.524992i 0.121751 0.0830086i
\(41\) −3.20110 + 1.54157i −0.499928 + 0.240753i −0.666815 0.745223i \(-0.732343\pi\)
0.166887 + 0.985976i \(0.446629\pi\)
\(42\) −0.00260097 −0.000401338
\(43\) −1.84169 + 6.29350i −0.280856 + 0.959750i
\(44\) 4.12354 0.621647
\(45\) 2.01421 0.969991i 0.300260 0.144598i
\(46\) 0.575662 0.392479i 0.0848767 0.0578679i
\(47\) −6.24911 + 7.83614i −0.911527 + 1.14302i 0.0777509 + 0.996973i \(0.475226\pi\)
−0.989278 + 0.146046i \(0.953345\pi\)
\(48\) −3.77289 3.50073i −0.544570 0.505287i
\(49\) 3.49989 6.06198i 0.499984 0.865998i
\(50\) −0.120170 0.208140i −0.0169946 0.0294355i
\(51\) 1.77358 7.77057i 0.248351 1.08810i
\(52\) 1.17668 2.99813i 0.163176 0.415766i
\(53\) −6.55236 2.02113i −0.900035 0.277624i −0.189995 0.981785i \(-0.560847\pi\)
−0.710040 + 0.704161i \(0.751323\pi\)
\(54\) 0.460505 + 0.577454i 0.0626667 + 0.0785816i
\(55\) −0.276759 + 3.69309i −0.0373181 + 0.497976i
\(56\) 0.00749439 0.00231171i 0.00100148 0.000308916i
\(57\) 8.31899 + 5.67179i 1.10188 + 0.751247i
\(58\) −0.932554 0.140560i −0.122450 0.0184564i
\(59\) 0.370875 + 1.62491i 0.0482838 + 0.211545i 0.993315 0.115435i \(-0.0368261\pi\)
−0.945031 + 0.326980i \(0.893969\pi\)
\(60\) 3.41855 3.17195i 0.441333 0.409497i
\(61\) −0.452207 6.03428i −0.0578992 0.772611i −0.948288 0.317411i \(-0.897187\pi\)
0.890389 0.455200i \(-0.150432\pi\)
\(62\) −0.114512 0.291773i −0.0145431 0.0370552i
\(63\) 0.0186034 0.00280400i 0.00234380 0.000353271i
\(64\) 6.83705 + 3.29255i 0.854631 + 0.411569i
\(65\) 2.60619 + 1.25507i 0.323258 + 0.155673i
\(66\) −0.356934 + 0.0537992i −0.0439356 + 0.00662222i
\(67\) 0.523545 + 1.33397i 0.0639612 + 0.162970i 0.959281 0.282453i \(-0.0911483\pi\)
−0.895320 + 0.445424i \(0.853053\pi\)
\(68\) 0.894122 + 11.9312i 0.108428 + 1.44687i
\(69\) 5.13361 4.76329i 0.618014 0.573433i
\(70\) 0.000780301 0.00341872i 9.32638e−5 0.000408615i
\(71\) 6.96679 + 1.05007i 0.826805 + 0.124621i 0.548795 0.835957i \(-0.315087\pi\)
0.278011 + 0.960578i \(0.410325\pi\)
\(72\) −0.542873 0.370125i −0.0639782 0.0436196i
\(73\) 9.32817 2.87736i 1.09178 0.336770i 0.303966 0.952683i \(-0.401689\pi\)
0.787814 + 0.615913i \(0.211213\pi\)
\(74\) −0.0495013 + 0.660549i −0.00575441 + 0.0767873i
\(75\) −1.50620 1.88871i −0.173920 0.218089i
\(76\) −14.4427 4.45500i −1.65670 0.511023i
\(77\) −0.0113862 + 0.0290116i −0.00129758 + 0.00330617i
\(78\) −0.0627375 + 0.274871i −0.00710362 + 0.0311230i
\(79\) −6.00573 10.4022i −0.675697 1.17034i −0.976265 0.216581i \(-0.930509\pi\)
0.300567 0.953761i \(-0.402824\pi\)
\(80\) −3.46949 + 6.00933i −0.387901 + 0.671864i
\(81\) 2.68119 + 2.48778i 0.297910 + 0.276420i
\(82\) −0.291096 + 0.365023i −0.0321462 + 0.0403100i
\(83\) 7.49232 5.10817i 0.822389 0.560695i −0.0774107 0.996999i \(-0.524665\pi\)
0.899799 + 0.436304i \(0.143713\pi\)
\(84\) 0.0353583 0.0170277i 0.00385791 0.00185787i
\(85\) −10.7457 −1.16554
\(86\) 0.140781 + 0.850113i 0.0151808 + 0.0916700i
\(87\) −9.47935 −1.01629
\(88\) 0.980650 0.472256i 0.104538 0.0503427i
\(89\) −13.1407 + 8.95920i −1.39291 + 0.949673i −0.393374 + 0.919379i \(0.628692\pi\)
−0.999541 + 0.0302945i \(0.990355\pi\)
\(90\) 0.183164 0.229681i 0.0193072 0.0242105i
\(91\) 0.0178445 + 0.0165573i 0.00187061 + 0.00173568i
\(92\) −5.25628 + 9.10415i −0.548005 + 0.949173i
\(93\) −1.57525 2.72842i −0.163346 0.282924i
\(94\) −0.293074 + 1.28404i −0.0302283 + 0.132439i
\(95\) 4.95929 12.6361i 0.508813 1.29643i
\(96\) −1.96738 0.606856i −0.200795 0.0619370i
\(97\) 8.44749 + 10.5928i 0.857712 + 1.07554i 0.996364 + 0.0851960i \(0.0271516\pi\)
−0.138652 + 0.990341i \(0.544277\pi\)
\(98\) 0.0687380 0.917245i 0.00694358 0.0926557i
\(99\) 2.49496 0.769595i 0.250753 0.0773472i
\(100\) 2.99625 + 2.04281i 0.299625 + 0.204281i
\(101\) −3.08833 0.465490i −0.307300 0.0463180i −0.00641794 0.999979i \(-0.502043\pi\)
−0.300882 + 0.953661i \(0.597281\pi\)
\(102\) −0.233060 1.02110i −0.0230764 0.101104i
\(103\) 0.386491 0.358612i 0.0380821 0.0353351i −0.660902 0.750472i \(-0.729826\pi\)
0.698984 + 0.715137i \(0.253636\pi\)
\(104\) −0.0635316 0.847770i −0.00622978 0.0831307i
\(105\) 0.0128770 + 0.0328102i 0.00125667 + 0.00320194i
\(106\) −0.890990 + 0.134295i −0.0865406 + 0.0130439i
\(107\) −1.02320 0.492747i −0.0989164 0.0476356i 0.383771 0.923428i \(-0.374625\pi\)
−0.482688 + 0.875793i \(0.660339\pi\)
\(108\) −10.0406 4.83532i −0.966161 0.465279i
\(109\) 12.0642 1.81839i 1.15554 0.174170i 0.456817 0.889561i \(-0.348989\pi\)
0.698725 + 0.715391i \(0.253751\pi\)
\(110\) 0.177796 + 0.453016i 0.0169521 + 0.0431934i
\(111\) 0.497557 + 6.63944i 0.0472260 + 0.630188i
\(112\) −0.0428061 + 0.0397182i −0.00404479 + 0.00375302i
\(113\) 0.981156 + 4.29873i 0.0922994 + 0.404390i 0.999880 0.0154876i \(-0.00493006\pi\)
−0.907581 + 0.419878i \(0.862073\pi\)
\(114\) 1.30829 + 0.197193i 0.122533 + 0.0184688i
\(115\) −7.80099 5.31863i −0.727446 0.495964i
\(116\) 13.5976 4.19431i 1.26251 0.389432i
\(117\) 0.152400 2.03364i 0.0140894 0.188010i
\(118\) 0.136554 + 0.171233i 0.0125708 + 0.0157633i
\(119\) −0.0864122 0.0266546i −0.00792140 0.00244343i
\(120\) 0.449717 1.14586i 0.0410534 0.104602i
\(121\) 1.48527 6.50740i 0.135025 0.591581i
\(122\) −0.397584 0.688636i −0.0359956 0.0623462i
\(123\) −2.34641 + 4.06410i −0.211568 + 0.366447i
\(124\) 3.46686 + 3.21677i 0.311333 + 0.288875i
\(125\) −7.58202 + 9.50755i −0.678156 + 0.850381i
\(126\) 0.00204264 0.00139265i 0.000181973 0.000124067i
\(127\) 8.11611 3.90851i 0.720188 0.346824i −0.0376287 0.999292i \(-0.511980\pi\)
0.757817 + 0.652468i \(0.226266\pi\)
\(128\) 4.11472 0.363693
\(129\) 2.67278 + 8.23848i 0.235325 + 0.725357i
\(130\) 0.380113 0.0333381
\(131\) 4.11246 1.98046i 0.359307 0.173033i −0.245517 0.969392i \(-0.578958\pi\)
0.604824 + 0.796359i \(0.293243\pi\)
\(132\) 4.50007 3.06809i 0.391680 0.267043i
\(133\) 0.0712239 0.0893119i 0.00617589 0.00774433i
\(134\) 0.138041 + 0.128083i 0.0119249 + 0.0110647i
\(135\) 5.00446 8.66798i 0.430715 0.746021i
\(136\) 1.57908 + 2.73505i 0.135405 + 0.234529i
\(137\) 3.46135 15.1652i 0.295723 1.29565i −0.580704 0.814115i \(-0.697223\pi\)
0.876428 0.481534i \(-0.159920\pi\)
\(138\) 0.336204 0.856635i 0.0286196 0.0729216i
\(139\) −6.55460 2.02183i −0.555954 0.171489i 0.00403085 0.999992i \(-0.498717\pi\)
−0.559985 + 0.828503i \(0.689193\pi\)
\(140\) −0.0329889 0.0413667i −0.00278807 0.00349613i
\(141\) −0.989300 + 13.2013i −0.0833141 + 1.11175i
\(142\) 0.884690 0.272891i 0.0742416 0.0229005i
\(143\) 2.79131 + 1.90308i 0.233421 + 0.159144i
\(144\) 4.83741 + 0.729122i 0.403117 + 0.0607602i
\(145\) 2.84384 + 12.4597i 0.236168 + 1.03472i
\(146\) 0.940339 0.872507i 0.0778230 0.0722092i
\(147\) −0.690912 9.21959i −0.0569855 0.760419i
\(148\) −3.65146 9.30377i −0.300148 0.764765i
\(149\) −20.4091 + 3.07618i −1.67198 + 0.252010i −0.915591 0.402112i \(-0.868276\pi\)
−0.756389 + 0.654122i \(0.773038\pi\)
\(150\) −0.286008 0.137734i −0.0233525 0.0112460i
\(151\) 3.49495 + 1.68308i 0.284415 + 0.136967i 0.570652 0.821192i \(-0.306690\pi\)
−0.286238 + 0.958159i \(0.592405\pi\)
\(152\) −3.94496 + 0.594606i −0.319978 + 0.0482289i
\(153\) 2.76777 + 7.05217i 0.223761 + 0.570134i
\(154\) 0.000306050 0.00408396i 2.46622e−5 0.000329095i
\(155\) −3.11366 + 2.88906i −0.250095 + 0.232055i
\(156\) −0.946617 4.14740i −0.0757900 0.332058i
\(157\) −1.36351 0.205515i −0.108820 0.0164019i 0.0944067 0.995534i \(-0.469905\pi\)
−0.203226 + 0.979132i \(0.565143\pi\)
\(158\) −1.30412 0.889136i −0.103750 0.0707358i
\(159\) −8.65448 + 2.66955i −0.686345 + 0.211709i
\(160\) −0.207432 + 2.76799i −0.0163989 + 0.218829i
\(161\) −0.0495391 0.0621201i −0.00390423 0.00489575i
\(162\) 0.459276 + 0.141668i 0.0360841 + 0.0111305i
\(163\) −1.19480 + 3.04431i −0.0935843 + 0.238449i −0.969999 0.243108i \(-0.921833\pi\)
0.876415 + 0.481557i \(0.159928\pi\)
\(164\) 1.56756 6.86794i 0.122406 0.536296i
\(165\) 2.44579 + 4.23623i 0.190404 + 0.329790i
\(166\) 0.595796 1.03195i 0.0462427 0.0800948i
\(167\) −2.54387 2.36037i −0.196851 0.182651i 0.575588 0.817740i \(-0.304773\pi\)
−0.772439 + 0.635089i \(0.780964\pi\)
\(168\) 0.00645870 0.00809896i 0.000498300 0.000624848i
\(169\) −8.56090 + 5.83672i −0.658531 + 0.448979i
\(170\) −1.27222 + 0.612671i −0.0975751 + 0.0469897i
\(171\) −9.57010 −0.731844
\(172\) −7.47922 10.6350i −0.570285 0.810914i
\(173\) 16.9268 1.28692 0.643459 0.765480i \(-0.277499\pi\)
0.643459 + 0.765480i \(0.277499\pi\)
\(174\) −1.12229 + 0.540467i −0.0850806 + 0.0409727i
\(175\) −0.0226458 + 0.0154397i −0.00171187 + 0.00116713i
\(176\) −5.05279 + 6.33600i −0.380868 + 0.477594i
\(177\) 1.61374 + 1.49734i 0.121296 + 0.112547i
\(178\) −1.04496 + 1.80993i −0.0783233 + 0.135660i
\(179\) −4.71887 8.17331i −0.352705 0.610902i 0.634018 0.773318i \(-0.281405\pi\)
−0.986722 + 0.162416i \(0.948071\pi\)
\(180\) −0.986346 + 4.32146i −0.0735179 + 0.322103i
\(181\) −2.69238 + 6.86008i −0.200123 + 0.509906i −0.995341 0.0964185i \(-0.969261\pi\)
0.795218 + 0.606324i \(0.207357\pi\)
\(182\) 0.00305669 0.000942864i 0.000226577 6.98897e-5i
\(183\) −4.98327 6.24883i −0.368374 0.461926i
\(184\) −0.207366 + 2.76711i −0.0152873 + 0.203994i
\(185\) 8.57763 2.64585i 0.630640 0.194527i
\(186\) −0.342061 0.233213i −0.0250811 0.0171000i
\(187\) −12.4098 1.87048i −0.907495 0.136783i
\(188\) −4.42205 19.3743i −0.322511 1.41301i
\(189\) 0.0617443 0.0572903i 0.00449124 0.00416726i
\(190\) −0.133301 1.77878i −0.00967069 0.129046i
\(191\) 7.05849 + 17.9847i 0.510735 + 1.30133i 0.921070 + 0.389396i \(0.127316\pi\)
−0.410336 + 0.911935i \(0.634588\pi\)
\(192\) 9.91116 1.49387i 0.715276 0.107811i
\(193\) −1.90871 0.919185i −0.137392 0.0661644i 0.363925 0.931428i \(-0.381437\pi\)
−0.501317 + 0.865264i \(0.667151\pi\)
\(194\) 1.60408 + 0.772482i 0.115166 + 0.0554610i
\(195\) 3.77799 0.569441i 0.270548 0.0407785i
\(196\) 5.07045 + 12.9193i 0.362175 + 0.922807i
\(197\) −1.38864 18.5301i −0.0989366 1.32022i −0.796912 0.604096i \(-0.793534\pi\)
0.697975 0.716122i \(-0.254085\pi\)
\(198\) 0.251508 0.233366i 0.0178739 0.0165846i
\(199\) 1.75537 + 7.69076i 0.124435 + 0.545184i 0.998261 + 0.0589460i \(0.0187740\pi\)
−0.873827 + 0.486238i \(0.838369\pi\)
\(200\) 0.946518 + 0.142665i 0.0669289 + 0.0100879i
\(201\) 1.56388 + 1.06624i 0.110308 + 0.0752066i
\(202\) −0.392177 + 0.120971i −0.0275935 + 0.00851146i
\(203\) −0.00803721 + 0.107249i −0.000564101 + 0.00752741i
\(204\) 9.85312 + 12.3554i 0.689857 + 0.865053i
\(205\) 6.04579 + 1.86488i 0.422257 + 0.130249i
\(206\) 0.0253117 0.0644931i 0.00176355 0.00449344i
\(207\) −1.48119 + 6.48951i −0.102950 + 0.451052i
\(208\) 3.16491 + 5.48179i 0.219447 + 0.380094i
\(209\) 7.92680 13.7296i 0.548308 0.949697i
\(210\) 0.00339523 + 0.00315031i 0.000234293 + 0.000217392i
\(211\) 5.02386 6.29972i 0.345857 0.433691i −0.578230 0.815874i \(-0.696256\pi\)
0.924087 + 0.382183i \(0.124828\pi\)
\(212\) 11.2332 7.65866i 0.771499 0.525999i
\(213\) 8.38424 4.03764i 0.574479 0.276654i
\(214\) −0.149234 −0.0102014
\(215\) 10.0268 5.98469i 0.683825 0.408152i
\(216\) −2.94161 −0.200151
\(217\) −0.0322049 + 0.0155090i −0.00218621 + 0.00105282i
\(218\) 1.32465 0.903128i 0.0897163 0.0611675i
\(219\) 8.03907 10.0807i 0.543230 0.681188i
\(220\) −5.38275 4.99446i −0.362905 0.336727i
\(221\) −4.90121 + 8.48914i −0.329691 + 0.571041i
\(222\) 0.437456 + 0.757696i 0.0293601 + 0.0508532i
\(223\) −4.52520 + 19.8262i −0.303030 + 1.32766i 0.562497 + 0.826799i \(0.309841\pi\)
−0.865527 + 0.500862i \(0.833016\pi\)
\(224\) −0.00853402 + 0.0217443i −0.000570203 + 0.00145285i
\(225\) 2.19415 + 0.676807i 0.146277 + 0.0451205i
\(226\) 0.361255 + 0.452999i 0.0240303 + 0.0301331i
\(227\) 0.383627 5.11915i 0.0254622 0.339770i −0.969895 0.243523i \(-0.921697\pi\)
0.995357 0.0962474i \(-0.0306840\pi\)
\(228\) −19.0763 + 5.88425i −1.26336 + 0.389694i
\(229\) −2.36542 1.61272i −0.156312 0.106571i 0.482638 0.875820i \(-0.339679\pi\)
−0.638950 + 0.769248i \(0.720631\pi\)
\(230\) −1.22683 0.184914i −0.0808946 0.0121929i
\(231\) 0.00915998 + 0.0401325i 0.000602683 + 0.00264052i
\(232\) 2.75339 2.55477i 0.180769 0.167729i
\(233\) 0.927985 + 12.3831i 0.0607943 + 0.811244i 0.941378 + 0.337353i \(0.109532\pi\)
−0.880584 + 0.473890i \(0.842849\pi\)
\(234\) −0.0979053 0.249459i −0.00640027 0.0163076i
\(235\) 17.6486 2.66010i 1.15127 0.173526i
\(236\) −2.97735 1.43382i −0.193809 0.0933336i
\(237\) −14.2938 6.88355i −0.928485 0.447135i
\(238\) −0.0117503 + 0.00177108i −0.000761662 + 0.000114802i
\(239\) −8.50273 21.6646i −0.549996 1.40137i −0.887834 0.460163i \(-0.847791\pi\)
0.337838 0.941204i \(-0.390304\pi\)
\(240\) 0.684912 + 9.13951i 0.0442109 + 0.589953i
\(241\) −2.57706 + 2.39116i −0.166003 + 0.154028i −0.758800 0.651324i \(-0.774214\pi\)
0.592797 + 0.805352i \(0.298024\pi\)
\(242\) −0.195174 0.855115i −0.0125463 0.0549688i
\(243\) −11.8966 1.79313i −0.763169 0.115029i
\(244\) 9.91315 + 6.75867i 0.634624 + 0.432679i
\(245\) −11.9110 + 3.67405i −0.760965 + 0.234726i
\(246\) −0.0460836 + 0.614942i −0.00293818 + 0.0392073i
\(247\) −7.72053 9.68124i −0.491246 0.616002i
\(248\) 1.19289 + 0.367957i 0.0757484 + 0.0233653i
\(249\) 4.37575 11.1492i 0.277302 0.706553i
\(250\) −0.355585 + 1.55792i −0.0224892 + 0.0985315i
\(251\) 6.92415 + 11.9930i 0.437048 + 0.756990i 0.997460 0.0712240i \(-0.0226905\pi\)
−0.560412 + 0.828214i \(0.689357\pi\)
\(252\) −0.0186511 + 0.0323046i −0.00117491 + 0.00203500i
\(253\) −8.08323 7.50014i −0.508189 0.471530i
\(254\) 0.738048 0.925482i 0.0463092 0.0580699i
\(255\) −11.7270 + 7.99531i −0.734371 + 0.500686i
\(256\) −13.1869 + 6.35050i −0.824184 + 0.396906i
\(257\) 24.5832 1.53346 0.766728 0.641972i \(-0.221883\pi\)
0.766728 + 0.641972i \(0.221883\pi\)
\(258\) 0.786157 + 0.822991i 0.0489440 + 0.0512372i
\(259\) 0.0755403 0.00469384
\(260\) −5.16737 + 2.48847i −0.320467 + 0.154329i
\(261\) 7.44450 5.07557i 0.460803 0.314170i
\(262\) 0.373971 0.468945i 0.0231040 0.0289715i
\(263\) 5.19039 + 4.81598i 0.320053 + 0.296966i 0.823794 0.566889i \(-0.191853\pi\)
−0.503741 + 0.863855i \(0.668044\pi\)
\(264\) 0.718816 1.24502i 0.0442400 0.0766260i
\(265\) 6.10525 + 10.5746i 0.375042 + 0.649593i
\(266\) 0.00334029 0.0146348i 0.000204806 0.000897315i
\(267\) −7.67460 + 19.5546i −0.469678 + 1.19672i
\(268\) −2.71508 0.837492i −0.165850 0.0511580i
\(269\) −5.70535 7.15429i −0.347862 0.436205i 0.576863 0.816841i \(-0.304276\pi\)
−0.924725 + 0.380636i \(0.875705\pi\)
\(270\) 0.0982878 1.31156i 0.00598161 0.0798190i
\(271\) 3.16958 0.977687i 0.192539 0.0593903i −0.196986 0.980406i \(-0.563115\pi\)
0.389525 + 0.921016i \(0.372639\pi\)
\(272\) −19.4285 13.2461i −1.17802 0.803163i
\(273\) 0.0317933 + 0.00479207i 0.00192422 + 0.000290029i
\(274\) −0.454844 1.99280i −0.0274782 0.120390i
\(275\) −2.78836 + 2.58722i −0.168145 + 0.156015i
\(276\) 1.03764 + 13.8464i 0.0624587 + 0.833454i
\(277\) −0.698305 1.77925i −0.0419571 0.106905i 0.908359 0.418191i \(-0.137336\pi\)
−0.950316 + 0.311286i \(0.899240\pi\)
\(278\) −0.891296 + 0.134341i −0.0534564 + 0.00805725i
\(279\) 2.69800 + 1.29929i 0.161525 + 0.0777863i
\(280\) −0.0125829 0.00605962i −0.000751974 0.000362132i
\(281\) −19.5257 + 2.94302i −1.16480 + 0.175566i −0.702850 0.711338i \(-0.748090\pi\)
−0.461954 + 0.886904i \(0.652852\pi\)
\(282\) 0.635547 + 1.61935i 0.0378463 + 0.0964308i
\(283\) −1.31220 17.5101i −0.0780020 1.04086i −0.889628 0.456687i \(-0.849036\pi\)
0.811626 0.584178i \(-0.198583\pi\)
\(284\) −10.2402 + 9.50154i −0.607645 + 0.563812i
\(285\) −3.98966 17.4798i −0.236327 1.03542i
\(286\) 0.438976 + 0.0661650i 0.0259572 + 0.00391242i
\(287\) 0.0439916 + 0.0299930i 0.00259674 + 0.00177043i
\(288\) 1.86999 0.576816i 0.110190 0.0339892i
\(289\) 1.45085 19.3602i 0.0853439 1.13883i
\(290\) 1.04708 + 1.31300i 0.0614868 + 0.0771020i
\(291\) 17.1004 + 5.27476i 1.00244 + 0.309212i
\(292\) −7.07124 + 18.0172i −0.413813 + 1.05438i
\(293\) −1.28000 + 5.60806i −0.0747786 + 0.327626i −0.998456 0.0555441i \(-0.982311\pi\)
0.923678 + 0.383170i \(0.125168\pi\)
\(294\) −0.607456 1.05214i −0.0354275 0.0613623i
\(295\) 1.48397 2.57032i 0.0864003 0.149650i
\(296\) −1.93391 1.79441i −0.112406 0.104298i
\(297\) 7.28824 9.13916i 0.422907 0.530308i
\(298\) −2.24091 + 1.52783i −0.129813 + 0.0885047i
\(299\) −7.75980 + 3.73692i −0.448761 + 0.216112i
\(300\) 4.78978 0.276538
\(301\) 0.0954760 0.0232546i 0.00550315 0.00134037i
\(302\) 0.509739 0.0293322
\(303\) −3.71667 + 1.78985i −0.213517 + 0.102824i
\(304\) 24.5428 16.7330i 1.40762 0.959702i
\(305\) −6.71848 + 8.42470i −0.384699 + 0.482397i
\(306\) 0.729766 + 0.677124i 0.0417179 + 0.0387086i
\(307\) 7.61789 13.1946i 0.434776 0.753054i −0.562502 0.826796i \(-0.690161\pi\)
0.997277 + 0.0737425i \(0.0234943\pi\)
\(308\) −0.0308969 0.0535149i −0.00176051 0.00304930i
\(309\) 0.154960 0.678924i 0.00881536 0.0386226i
\(310\) −0.203916 + 0.519571i −0.0115817 + 0.0295096i
\(311\) 31.3624 + 9.67402i 1.77840 + 0.548563i 0.997135 0.0756385i \(-0.0240995\pi\)
0.781263 + 0.624202i \(0.214576\pi\)
\(312\) −0.700111 0.877911i −0.0396360 0.0497019i
\(313\) 1.45692 19.4413i 0.0823502 1.09889i −0.791007 0.611807i \(-0.790443\pi\)
0.873357 0.487080i \(-0.161938\pi\)
\(314\) −0.173147 + 0.0534089i −0.00977127 + 0.00301404i
\(315\) −0.0276805 0.0188723i −0.00155962 0.00106333i
\(316\) 23.5495 + 3.54952i 1.32476 + 0.199676i
\(317\) 3.76022 + 16.4746i 0.211195 + 0.925306i 0.963756 + 0.266784i \(0.0859610\pi\)
−0.752561 + 0.658522i \(0.771182\pi\)
\(318\) −0.872427 + 0.809494i −0.0489233 + 0.0453942i
\(319\) 1.11541 + 14.8842i 0.0624512 + 0.833354i
\(320\) −4.93693 12.5791i −0.275983 0.703193i
\(321\) −1.48325 + 0.223565i −0.0827872 + 0.0124782i
\(322\) −0.00940689 0.00453012i −0.000524225 0.000252454i
\(323\) 41.4447 + 19.9587i 2.30604 + 1.11053i
\(324\) −7.17098 + 1.08085i −0.398388 + 0.0600473i
\(325\) 1.08543 + 2.76564i 0.0602090 + 0.153410i
\(326\) 0.0321152 + 0.428548i 0.00177870 + 0.0237351i
\(327\) 11.8129 10.9607i 0.653252 0.606130i
\(328\) −0.413770 1.81284i −0.0228466 0.100098i
\(329\) 0.148520 + 0.0223858i 0.00818818 + 0.00123417i
\(330\) 0.531094 + 0.362094i 0.0292358 + 0.0199326i
\(331\) −27.4650 + 8.47184i −1.50962 + 0.465655i −0.935562 0.353163i \(-0.885106\pi\)
−0.574053 + 0.818818i \(0.694630\pi\)
\(332\) −1.34360 + 17.9291i −0.0737397 + 0.983987i
\(333\) −3.94574 4.94780i −0.216225 0.271138i
\(334\) −0.435754 0.134412i −0.0238434 0.00735471i
\(335\) 0.932295 2.37545i 0.0509367 0.129785i
\(336\) −0.0171627 + 0.0751946i −0.000936300 + 0.00410220i
\(337\) −8.51965 14.7565i −0.464095 0.803836i 0.535065 0.844811i \(-0.320287\pi\)
−0.999160 + 0.0409748i \(0.986954\pi\)
\(338\) −0.680771 + 1.17913i −0.0370290 + 0.0641362i
\(339\) 4.26919 + 3.96123i 0.231871 + 0.215144i
\(340\) 13.2840 16.6577i 0.720428 0.903388i
\(341\) −4.09872 + 2.79446i −0.221958 + 0.151329i
\(342\) −1.13304 + 0.545641i −0.0612675 + 0.0295049i
\(343\) −0.209795 −0.0113279
\(344\) −2.99669 1.67263i −0.161571 0.0901820i
\(345\) −12.4706 −0.671395
\(346\) 2.00401 0.965083i 0.107736 0.0518832i
\(347\) −22.9814 + 15.6684i −1.23371 + 0.841126i −0.991628 0.129131i \(-0.958781\pi\)
−0.242078 + 0.970257i \(0.577829\pi\)
\(348\) 11.7185 14.6945i 0.628177 0.787709i
\(349\) 9.18897 + 8.52612i 0.491874 + 0.456393i 0.886688 0.462369i \(-0.153000\pi\)
−0.394814 + 0.918761i \(0.629191\pi\)
\(350\) −0.00180082 + 0.00311911i −9.62578e−5 + 0.000166723i
\(351\) −4.56513 7.90704i −0.243669 0.422047i
\(352\) −0.721369 + 3.16052i −0.0384491 + 0.168456i
\(353\) −0.273094 + 0.695831i −0.0145353 + 0.0370353i −0.937957 0.346751i \(-0.887285\pi\)
0.923422 + 0.383786i \(0.125380\pi\)
\(354\) 0.276427 + 0.0852665i 0.0146919 + 0.00453187i
\(355\) −7.82239 9.80897i −0.415169 0.520606i
\(356\) 2.35653 31.4458i 0.124896 1.66662i
\(357\) −0.114135 + 0.0352060i −0.00604066 + 0.00186330i
\(358\) −1.02468 0.698618i −0.0541563 0.0369231i
\(359\) −0.374896 0.0565064i −0.0197862 0.00298230i 0.139142 0.990272i \(-0.455566\pi\)
−0.158928 + 0.987290i \(0.550804\pi\)
\(360\) 0.260354 + 1.14068i 0.0137218 + 0.0601193i
\(361\) −28.6690 + 26.6009i −1.50889 + 1.40005i
\(362\) 0.0723687 + 0.965693i 0.00380362 + 0.0507557i
\(363\) −3.22089 8.20671i −0.169053 0.430740i
\(364\) −0.0477262 + 0.00719356i −0.00250153 + 0.000377045i
\(365\) −15.6618 7.54233i −0.819777 0.394784i
\(366\) −0.946264 0.455696i −0.0494620 0.0238196i
\(367\) −17.0718 + 2.57316i −0.891142 + 0.134318i −0.578624 0.815594i \(-0.696410\pi\)
−0.312517 + 0.949912i \(0.601172\pi\)
\(368\) −7.54813 19.2323i −0.393473 1.00255i
\(369\) −0.333334 4.44804i −0.0173527 0.231556i
\(370\) 0.864680 0.802306i 0.0449526 0.0417099i
\(371\) 0.0228654 + 0.100180i 0.00118711 + 0.00520108i
\(372\) 6.17684 + 0.931009i 0.320254 + 0.0482706i
\(373\) 23.7980 + 16.2252i 1.23221 + 0.840108i 0.991451 0.130477i \(-0.0416509\pi\)
0.240760 + 0.970585i \(0.422603\pi\)
\(374\) −1.57588 + 0.486095i −0.0814869 + 0.0251354i
\(375\) −1.20031 + 16.0171i −0.0619839 + 0.827117i
\(376\) −3.27052 4.10110i −0.168664 0.211498i
\(377\) 11.1402 + 3.43631i 0.573752 + 0.176979i
\(378\) 0.00404369 0.0103031i 0.000207985 0.000529937i
\(379\) −4.28454 + 18.7718i −0.220082 + 0.964242i 0.737334 + 0.675529i \(0.236085\pi\)
−0.957416 + 0.288713i \(0.906773\pi\)
\(380\) 13.4572 + 23.3086i 0.690341 + 1.19571i
\(381\) 5.94910 10.3041i 0.304782 0.527897i
\(382\) 1.86108 + 1.72683i 0.0952212 + 0.0883524i
\(383\) −8.54764 + 10.7184i −0.436764 + 0.547685i −0.950687 0.310151i \(-0.899620\pi\)
0.513923 + 0.857836i \(0.328192\pi\)
\(384\) 4.49044 3.06153i 0.229152 0.156233i
\(385\) 0.0500023 0.0240798i 0.00254835 0.00122722i
\(386\) −0.278386 −0.0141695
\(387\) −6.51020 5.03889i −0.330932 0.256141i
\(388\) −26.8635 −1.36379
\(389\) −26.3431 + 12.6862i −1.33565 + 0.643215i −0.959070 0.283170i \(-0.908614\pi\)
−0.376579 + 0.926384i \(0.622900\pi\)
\(390\) 0.414822 0.282821i 0.0210053 0.0143212i
\(391\) 19.9485 25.0147i 1.00884 1.26505i
\(392\) 2.68545 + 2.49173i 0.135636 + 0.125852i
\(393\) 3.01443 5.22114i 0.152058 0.263372i
\(394\) −1.22090 2.11467i −0.0615083 0.106536i
\(395\) −4.75955 + 20.8530i −0.239479 + 1.04923i
\(396\) −1.89131 + 4.81898i −0.0950420 + 0.242163i
\(397\) 17.8679 + 5.51152i 0.896764 + 0.276615i 0.708674 0.705536i \(-0.249294\pi\)
0.188091 + 0.982152i \(0.439770\pi\)
\(398\) 0.646314 + 0.810452i 0.0323968 + 0.0406243i
\(399\) 0.0112755 0.150461i 0.000564480 0.00753247i
\(400\) −6.81033 + 2.10071i −0.340517 + 0.105035i
\(401\) −4.37678 2.98404i −0.218566 0.149016i 0.449088 0.893488i \(-0.351749\pi\)
−0.667654 + 0.744472i \(0.732701\pi\)
\(402\) 0.245945 + 0.0370702i 0.0122666 + 0.00184890i
\(403\) 0.862192 + 3.77751i 0.0429488 + 0.188171i
\(404\) 4.53941 4.21196i 0.225844 0.209553i
\(405\) −0.486730 6.49495i −0.0241858 0.322737i
\(406\) 0.00516327 + 0.0131558i 0.000256249 + 0.000652912i
\(407\) 10.3665 1.56250i 0.513848 0.0774501i
\(408\) 3.75827 + 1.80989i 0.186062 + 0.0896029i
\(409\) −5.49230 2.64495i −0.271577 0.130784i 0.293139 0.956070i \(-0.405300\pi\)
−0.564716 + 0.825285i \(0.691014\pi\)
\(410\) 0.822108 0.123913i 0.0406010 0.00611962i
\(411\) −7.50614 19.1253i −0.370251 0.943383i
\(412\) 0.0781204 + 1.04244i 0.00384872 + 0.0513576i
\(413\) 0.0183091 0.0169883i 0.000900930 0.000835941i
\(414\) 0.194638 + 0.852764i 0.00956593 + 0.0419111i
\(415\) −15.9673 2.40669i −0.783805 0.118140i
\(416\) 2.09210 + 1.42637i 0.102574 + 0.0699335i
\(417\) −8.65745 + 2.67047i −0.423957 + 0.130773i
\(418\) 0.155683 2.07744i 0.00761469 0.101611i
\(419\) 3.35789 + 4.21066i 0.164044 + 0.205704i 0.857059 0.515219i \(-0.172289\pi\)
−0.693015 + 0.720923i \(0.743718\pi\)
\(420\) −0.0667798 0.0205989i −0.00325852 0.00100512i
\(421\) 13.0829 33.3348i 0.637623 1.62464i −0.135791 0.990737i \(-0.543358\pi\)
0.773415 0.633900i \(-0.218547\pi\)
\(422\) 0.235611 1.03228i 0.0114694 0.0502506i
\(423\) −6.29149 10.8972i −0.305903 0.529839i
\(424\) 1.79433 3.10787i 0.0871403 0.150931i
\(425\) −8.09059 7.50697i −0.392451 0.364142i
\(426\) 0.762431 0.956058i 0.0369399 0.0463211i
\(427\) −0.0749242 + 0.0510824i −0.00362583 + 0.00247205i
\(428\) 2.02873 0.976985i 0.0980624 0.0472243i
\(429\) 4.46216 0.215435
\(430\) 0.845892 1.28023i 0.0407925 0.0617381i
\(431\) 2.38810 0.115031 0.0575153 0.998345i \(-0.481682\pi\)
0.0575153 + 0.998345i \(0.481682\pi\)
\(432\) 19.7330 9.50292i 0.949405 0.457209i
\(433\) −6.98440 + 4.76188i −0.335649 + 0.228841i −0.719402 0.694594i \(-0.755584\pi\)
0.383753 + 0.923436i \(0.374631\pi\)
\(434\) −0.00292859 + 0.00367233i −0.000140577 + 0.000176278i
\(435\) 12.3741 + 11.4815i 0.593292 + 0.550494i
\(436\) −12.0951 + 20.9494i −0.579252 + 1.00329i
\(437\) 20.2086 + 35.0023i 0.966709 + 1.67439i
\(438\) 0.377020 1.65183i 0.0180147 0.0789276i
\(439\) 1.42478 3.63029i 0.0680013 0.173264i −0.892833 0.450388i \(-0.851286\pi\)
0.960834 + 0.277123i \(0.0893810\pi\)
\(440\) −1.85211 0.571301i −0.0882960 0.0272357i
\(441\) 5.47909 + 6.87056i 0.260909 + 0.327169i
\(442\) −0.0962599 + 1.28450i −0.00457862 + 0.0610974i
\(443\) 24.1906 7.46180i 1.14933 0.354521i 0.339166 0.940726i \(-0.389855\pi\)
0.810162 + 0.586205i \(0.199379\pi\)
\(444\) −10.9073 7.43647i −0.517637 0.352919i
\(445\) 28.0050 + 4.22107i 1.32756 + 0.200098i
\(446\) 0.594642 + 2.60529i 0.0281571 + 0.123364i
\(447\) −19.9839 + 18.5423i −0.945206 + 0.877023i
\(448\) −0.00849824 0.113401i −0.000401504 0.00535770i
\(449\) −13.0603 33.2771i −0.616353 1.57044i −0.808131 0.589003i \(-0.799520\pi\)
0.191778 0.981438i \(-0.438575\pi\)
\(450\) 0.298361 0.0449707i 0.0140649 0.00211994i
\(451\) 6.65741 + 3.20604i 0.313485 + 0.150967i
\(452\) −7.87664 3.79319i −0.370486 0.178417i
\(453\) 5.06636 0.763631i 0.238038 0.0358785i
\(454\) −0.246450 0.627946i −0.0115665 0.0294709i
\(455\) −0.00323941 0.0432269i −0.000151866 0.00202651i
\(456\) −3.86276 + 3.58412i −0.180890 + 0.167842i
\(457\) −4.21771 18.4790i −0.197296 0.864411i −0.972538 0.232746i \(-0.925229\pi\)
0.775241 0.631665i \(-0.217628\pi\)
\(458\) −0.372000 0.0560699i −0.0173824 0.00261998i
\(459\) 28.0240 + 19.1064i 1.30805 + 0.891812i
\(460\) 17.8884 5.51785i 0.834052 0.257271i
\(461\) 1.05220 14.0407i 0.0490060 0.653940i −0.917572 0.397569i \(-0.869854\pi\)
0.966578 0.256371i \(-0.0825269\pi\)
\(462\) 0.00337264 + 0.00422916i 0.000156909 + 0.000196758i
\(463\) 17.8943 + 5.51965i 0.831618 + 0.256520i 0.681195 0.732102i \(-0.261460\pi\)
0.150422 + 0.988622i \(0.451937\pi\)
\(464\) −10.2171 + 26.0329i −0.474319 + 1.20855i
\(465\) −1.24839 + 5.46956i −0.0578928 + 0.253645i
\(466\) 0.815892 + 1.41317i 0.0377955 + 0.0654636i
\(467\) 1.07575 1.86325i 0.0497796 0.0862208i −0.840062 0.542491i \(-0.817481\pi\)
0.889842 + 0.456270i \(0.150815\pi\)
\(468\) 2.96408 + 2.75026i 0.137015 + 0.127131i
\(469\) 0.0133893 0.0167897i 0.000618262 0.000775276i
\(470\) 1.93781 1.32118i 0.0893845 0.0609413i
\(471\) −1.64092 + 0.790227i −0.0756097 + 0.0364117i
\(472\) −0.872278 −0.0401499
\(473\) 12.6213 5.16612i 0.580328 0.237538i
\(474\) −2.08476 −0.0957562
\(475\) 12.5615 6.04928i 0.576359 0.277560i
\(476\) 0.148143 0.101002i 0.00679012 0.00462943i
\(477\) 5.36732 6.73041i 0.245753 0.308164i
\(478\) −2.24188 2.08016i −0.102541 0.0951442i
\(479\) −14.0491 + 24.3337i −0.641919 + 1.11184i 0.343085 + 0.939304i \(0.388528\pi\)
−0.985004 + 0.172532i \(0.944805\pi\)
\(480\) 1.83313 + 3.17508i 0.0836706 + 0.144922i
\(481\) 1.82209 7.98312i 0.0830804 0.363999i
\(482\) −0.168774 + 0.430029i −0.00768744 + 0.0195873i
\(483\) −0.100283 0.0309331i −0.00456302 0.00140751i
\(484\) 8.25141 + 10.3469i 0.375064 + 0.470315i
\(485\) 1.80299 24.0592i 0.0818696 1.09247i
\(486\) −1.51072 + 0.465994i −0.0685274 + 0.0211379i
\(487\) −15.6116 10.6438i −0.707431 0.482318i 0.155374 0.987856i \(-0.450342\pi\)
−0.862805 + 0.505538i \(0.831294\pi\)
\(488\) 3.13157 + 0.472008i 0.141759 + 0.0213668i
\(489\) 0.961197 + 4.21128i 0.0434668 + 0.190441i
\(490\) −1.20070 + 1.11409i −0.0542422 + 0.0503294i
\(491\) −2.02122 26.9713i −0.0912165 1.21720i −0.835559 0.549401i \(-0.814856\pi\)
0.744342 0.667798i \(-0.232763\pi\)
\(492\) −3.39935 8.66140i −0.153255 0.390486i
\(493\) −42.8247 + 6.45478i −1.92873 + 0.290709i
\(494\) −1.46604 0.706006i −0.0659601 0.0317647i
\(495\) −4.18900 2.01731i −0.188281 0.0906715i
\(496\) −9.19084 + 1.38530i −0.412681 + 0.0622016i
\(497\) −0.0385730 0.0982824i −0.00173024 0.00440857i
\(498\) −0.117616 1.56948i −0.00527050 0.0703299i
\(499\) −5.20488 + 4.82942i −0.233002 + 0.216195i −0.788029 0.615638i \(-0.788898\pi\)
0.555027 + 0.831832i \(0.312708\pi\)
\(500\) −5.36525 23.5067i −0.239941 1.05125i
\(501\) −4.53238 0.683146i −0.202492 0.0305207i
\(502\) 1.50355 + 1.02511i 0.0671069 + 0.0457527i
\(503\) −18.5296 + 5.71564i −0.826196 + 0.254848i −0.678887 0.734243i \(-0.737537\pi\)
−0.147309 + 0.989091i \(0.547061\pi\)
\(504\) −0.000735805 0.00981864i −3.27754e−5 0.000437357i
\(505\) 3.46761 + 4.34824i 0.154307 + 0.193494i
\(506\) −1.38462 0.427099i −0.0615540 0.0189869i
\(507\) −4.99983 + 12.7394i −0.222050 + 0.565775i
\(508\) −3.97441 + 17.4130i −0.176336 + 0.772579i
\(509\) 12.0737 + 20.9122i 0.535156 + 0.926917i 0.999156 + 0.0410815i \(0.0130803\pi\)
−0.464000 + 0.885835i \(0.653586\pi\)
\(510\) −0.932539 + 1.61521i −0.0412935 + 0.0715225i
\(511\) −0.107236 0.0995008i −0.00474386 0.00440166i
\(512\) −6.33014 + 7.93774i −0.279755 + 0.350802i
\(513\) −35.4010 + 24.1360i −1.56299 + 1.06563i
\(514\) 2.91048 1.40161i 0.128376 0.0618226i
\(515\) −0.938868 −0.0413715
\(516\) −16.0751 6.04127i −0.707667 0.265952i
\(517\) 20.8447 0.916747
\(518\) 0.00894346 0.00430694i 0.000392953 0.000189236i
\(519\) 18.4724 12.5943i 0.810848 0.552827i
\(520\) −0.943894 + 1.18361i −0.0413925 + 0.0519045i
\(521\) −1.66226 1.54235i −0.0728250 0.0675718i 0.642921 0.765933i \(-0.277723\pi\)
−0.715746 + 0.698361i \(0.753913\pi\)
\(522\) 0.591993 1.02536i 0.0259109 0.0448789i
\(523\) −15.7289 27.2432i −0.687775 1.19126i −0.972556 0.232669i \(-0.925254\pi\)
0.284780 0.958593i \(-0.408079\pi\)
\(524\) −2.01385 + 8.82324i −0.0879753 + 0.385445i
\(525\) −0.0132259 + 0.0336990i −0.000577225 + 0.00147075i
\(526\) 0.889090 + 0.274248i 0.0387662 + 0.0119578i
\(527\) −8.97436 11.2535i −0.390929 0.490210i
\(528\) −0.799909 + 10.6740i −0.0348116 + 0.464528i
\(529\) 4.88473 1.50674i 0.212380 0.0655104i
\(530\) 1.32573 + 0.903869i 0.0575862 + 0.0392616i
\(531\) −2.06906 0.311861i −0.0897896 0.0135336i
\(532\) 0.0504001 + 0.220817i 0.00218512 + 0.00957364i
\(533\) 4.23078 3.92559i 0.183255 0.170036i
\(534\) 0.206286 + 2.75270i 0.00892687 + 0.119121i
\(535\) 0.738837 + 1.88253i 0.0319427 + 0.0813887i
\(536\) −0.741610 + 0.111780i −0.0320327 + 0.00482815i
\(537\) −11.2311 5.40859i −0.484656 0.233398i
\(538\) −1.08338 0.521727i −0.0467077 0.0224933i
\(539\) −14.3950 + 2.16970i −0.620037 + 0.0934555i
\(540\) 7.25019 + 18.4732i 0.311999 + 0.794960i
\(541\) −0.0680679 0.908302i −0.00292647 0.0390510i 0.995549 0.0942413i \(-0.0300425\pi\)
−0.998476 + 0.0551903i \(0.982423\pi\)
\(542\) 0.319514 0.296466i 0.0137243 0.0127343i
\(543\) 2.16597 + 9.48974i 0.0929507 + 0.407244i
\(544\) −9.30122 1.40193i −0.398786 0.0601074i
\(545\) −17.9507 12.2386i −0.768925 0.524244i
\(546\) 0.00403733 0.00124535i 0.000172782 5.32962e-5i
\(547\) −2.81219 + 37.5260i −0.120240 + 1.60450i 0.532175 + 0.846635i \(0.321375\pi\)
−0.652415 + 0.757862i \(0.726244\pi\)
\(548\) 19.2295 + 24.1131i 0.821444 + 1.03006i
\(549\) 7.25939 + 2.23923i 0.309823 + 0.0955679i
\(550\) −0.182612 + 0.465288i −0.00778661 + 0.0198400i
\(551\) 12.1738 53.3371i 0.518623 2.27224i
\(552\) 1.83255 + 3.17407i 0.0779986 + 0.135097i
\(553\) −0.0899995 + 0.155884i −0.00382717 + 0.00662885i
\(554\) −0.184119 0.170838i −0.00782247 0.00725819i
\(555\) 7.39225 9.26958i 0.313783 0.393472i
\(556\) 11.2370 7.66129i 0.476557 0.324911i
\(557\) 37.3275 17.9760i 1.58162 0.761667i 0.582912 0.812535i \(-0.301913\pi\)
0.998705 + 0.0508683i \(0.0161989\pi\)
\(558\) 0.393504 0.0166583
\(559\) −0.154594 10.6509i −0.00653861 0.450483i
\(560\) 0.103985 0.00439416
\(561\) −14.9347 + 7.19216i −0.630543 + 0.303653i
\(562\) −2.14391 + 1.46169i −0.0904355 + 0.0616579i
\(563\) 14.7605 18.5091i 0.622083 0.780067i −0.366553 0.930397i \(-0.619462\pi\)
0.988636 + 0.150330i \(0.0480336\pi\)
\(564\) −19.2412 17.8532i −0.810199 0.751755i
\(565\) 3.92588 6.79982i 0.165163 0.286071i
\(566\) −1.15369 1.99826i −0.0484934 0.0839930i
\(567\) 0.0121966 0.0534367i 0.000512208 0.00224413i
\(568\) −1.34712 + 3.43241i −0.0565240 + 0.144021i
\(569\) 4.53414 + 1.39860i 0.190081 + 0.0586322i 0.388334 0.921519i \(-0.373051\pi\)
−0.198253 + 0.980151i \(0.563527\pi\)
\(570\) −1.46896 1.84202i −0.0615282 0.0771539i
\(571\) −2.70647 + 36.1153i −0.113262 + 1.51138i 0.594021 + 0.804449i \(0.297539\pi\)
−0.707284 + 0.706930i \(0.750080\pi\)
\(572\) −6.40073 + 1.97436i −0.267628 + 0.0825523i
\(573\) 21.0845 + 14.3751i 0.880816 + 0.600530i
\(574\) 0.00691837 + 0.00104278i 0.000288767 + 4.35246e-5i
\(575\) −2.15786 9.45422i −0.0899891 0.394268i
\(576\) −6.98375 + 6.47997i −0.290989 + 0.269999i
\(577\) 1.54710 + 20.6446i 0.0644065 + 0.859445i 0.932067 + 0.362287i \(0.118004\pi\)
−0.867660 + 0.497158i \(0.834377\pi\)
\(578\) −0.932054 2.37484i −0.0387683 0.0987801i
\(579\) −2.76691 + 0.417045i −0.114989 + 0.0173318i
\(580\) −22.8301 10.9944i −0.947970 0.456518i
\(581\) −0.122432 0.0589601i −0.00507933 0.00244608i
\(582\) 2.32531 0.350484i 0.0963871 0.0145280i
\(583\) 5.21000 + 13.2749i 0.215776 + 0.549789i
\(584\) 0.381792 + 5.09466i 0.0157987 + 0.210818i
\(585\) −2.66210 + 2.47007i −0.110064 + 0.102125i
\(586\) 0.168201 + 0.736936i 0.00694831 + 0.0304425i
\(587\) 22.4886 + 3.38961i 0.928203 + 0.139904i 0.595708 0.803201i \(-0.296872\pi\)
0.332495 + 0.943105i \(0.392110\pi\)
\(588\) 15.1460 + 10.3263i 0.624609 + 0.425851i
\(589\) 17.3749 5.35945i 0.715921 0.220832i
\(590\) 0.0291453 0.388917i 0.00119989 0.0160115i
\(591\) −15.3027 19.1890i −0.629468 0.789328i
\(592\) 18.7700 + 5.78977i 0.771442 + 0.237958i
\(593\) −3.19236 + 8.13401i −0.131095 + 0.334024i −0.981316 0.192401i \(-0.938373\pi\)
0.850222 + 0.526425i \(0.176468\pi\)
\(594\) 0.341807 1.49756i 0.0140245 0.0614454i
\(595\) 0.0805158 + 0.139457i 0.00330083 + 0.00571720i
\(596\) 20.4614 35.4403i 0.838133 1.45169i
\(597\) 7.63792 + 7.08695i 0.312599 + 0.290050i
\(598\) −0.705646 + 0.884852i −0.0288560 + 0.0361843i
\(599\) 17.4200 11.8767i 0.711760 0.485270i −0.152507 0.988302i \(-0.548735\pi\)
0.864268 + 0.503032i \(0.167782\pi\)
\(600\) 1.13909 0.548559i 0.0465034 0.0223948i
\(601\) −9.25003 −0.377316 −0.188658 0.982043i \(-0.560414\pi\)
−0.188658 + 0.982043i \(0.560414\pi\)
\(602\) 0.00997785 0.00819677i 0.000406667 0.000334075i
\(603\) −1.79908 −0.0732641
\(604\) −6.92954 + 3.33709i −0.281959 + 0.135784i
\(605\) −9.82064 + 6.69560i −0.399266 + 0.272215i
\(606\) −0.337980 + 0.423813i −0.0137295 + 0.0172162i
\(607\) 26.3944 + 24.4904i 1.07132 + 0.994035i 0.999994 0.00341803i \(-0.00108800\pi\)
0.0713212 + 0.997453i \(0.477278\pi\)
\(608\) 5.94118 10.2904i 0.240947 0.417332i
\(609\) 0.0710269 + 0.123022i 0.00287816 + 0.00498511i
\(610\) −0.315086 + 1.38048i −0.0127575 + 0.0558941i
\(611\) 5.94817 15.1557i 0.240637 0.613134i
\(612\) −14.3536 4.42749i −0.580208 0.178971i
\(613\) −4.70938 5.90537i −0.190210 0.238516i 0.677577 0.735452i \(-0.263030\pi\)
−0.867787 + 0.496936i \(0.834458\pi\)
\(614\) 0.149616 1.99648i 0.00603800 0.0805715i
\(615\) 7.98540 2.46317i 0.322002 0.0993246i
\(616\) −0.0134767 0.00918827i −0.000542992 0.000370206i
\(617\) −13.9051 2.09586i −0.559798 0.0843760i −0.136952 0.990578i \(-0.543731\pi\)
−0.422846 + 0.906202i \(0.638969\pi\)
\(618\) −0.0203628 0.0892150i −0.000819110 0.00358876i
\(619\) 4.50835 4.18313i 0.181206 0.168134i −0.584355 0.811498i \(-0.698652\pi\)
0.765560 + 0.643364i \(0.222462\pi\)
\(620\) −0.629356 8.39817i −0.0252755 0.337279i
\(621\) 10.8876 + 27.7410i 0.436903 + 1.11321i
\(622\) 4.26466 0.642794i 0.170997 0.0257737i
\(623\) 0.214733 + 0.103410i 0.00860308 + 0.00414303i
\(624\) 7.53260 + 3.62751i 0.301546 + 0.145217i
\(625\) 12.3702 1.86451i 0.494809 0.0745804i
\(626\) −0.935959 2.38479i −0.0374085 0.0953152i
\(627\) −1.56483 20.8812i −0.0624932 0.833914i
\(628\) 2.00417 1.85960i 0.0799750 0.0742059i
\(629\) 6.76880 + 29.6561i 0.269890 + 1.18246i
\(630\) −0.00435319 0.000656138i −0.000173435 2.61412e-5i
\(631\) −25.7287 17.5415i −1.02424 0.698317i −0.0700608 0.997543i \(-0.522319\pi\)
−0.954182 + 0.299226i \(0.903272\pi\)
\(632\) 6.00700 1.85291i 0.238946 0.0737050i
\(633\) 0.795329 10.6129i 0.0316115 0.421826i
\(634\) 1.38449 + 1.73609i 0.0549850 + 0.0689490i
\(635\) −15.3286 4.72823i −0.608295 0.187634i
\(636\) 6.56054 16.7160i 0.260142 0.662832i
\(637\) −2.53018 + 11.0854i −0.100249 + 0.439221i
\(638\) 0.980682 + 1.69859i 0.0388256 + 0.0672478i
\(639\) −4.42258 + 7.66013i −0.174954 + 0.303030i
\(640\) −5.37124 4.98378i −0.212317 0.197001i
\(641\) −16.5022 + 20.6931i −0.651798 + 0.817329i −0.992423 0.122871i \(-0.960790\pi\)
0.340625 + 0.940199i \(0.389361\pi\)
\(642\) −0.162861 + 0.111037i −0.00642760 + 0.00438226i
\(643\) −15.1982 + 7.31905i −0.599357 + 0.288635i −0.708858 0.705352i \(-0.750789\pi\)
0.109501 + 0.993987i \(0.465075\pi\)
\(644\) 0.157537 0.00620784
\(645\) 6.48954 13.9916i 0.255525 0.550917i
\(646\) 6.04472 0.237826
\(647\) −7.97769 + 3.84185i −0.313635 + 0.151039i −0.584079 0.811697i \(-0.698544\pi\)
0.270443 + 0.962736i \(0.412830\pi\)
\(648\) −1.58160 + 1.07832i −0.0621311 + 0.0423602i
\(649\) 2.16118 2.71004i 0.0848339 0.106378i
\(650\) 0.286191 + 0.265547i 0.0112253 + 0.0104156i
\(651\) −0.0236061 + 0.0408870i −0.000925198 + 0.00160249i
\(652\) −3.24214 5.61556i −0.126972 0.219922i
\(653\) −0.952035 + 4.17114i −0.0372560 + 0.163229i −0.990134 0.140125i \(-0.955249\pi\)
0.952878 + 0.303354i \(0.0981066\pi\)
\(654\) 0.773634 1.97119i 0.0302515 0.0770796i
\(655\) −7.76703 2.39581i −0.303483 0.0936121i
\(656\) 8.63208 + 10.8243i 0.337026 + 0.422617i
\(657\) −0.915847 + 12.2211i −0.0357306 + 0.476792i
\(658\) 0.0188601 0.00581758i 0.000735244 0.000226793i
\(659\) −18.1765 12.3925i −0.708056 0.482744i 0.154960 0.987921i \(-0.450475\pi\)
−0.863016 + 0.505176i \(0.831427\pi\)
\(660\) −9.59036 1.44551i −0.373304 0.0562666i
\(661\) 3.37614 + 14.7918i 0.131317 + 0.575336i 0.997179 + 0.0750541i \(0.0239130\pi\)
−0.865863 + 0.500281i \(0.833230\pi\)
\(662\) −2.76865 + 2.56893i −0.107607 + 0.0998444i
\(663\) 0.967547 + 12.9110i 0.0375764 + 0.501422i
\(664\) 1.73383 + 4.41773i 0.0672858 + 0.171441i
\(665\) −0.201149 + 0.0303183i −0.00780022 + 0.00117569i
\(666\) −0.749248 0.360819i −0.0290328 0.0139814i
\(667\) −34.2838 16.5102i −1.32748 0.639279i
\(668\) 6.80372 1.02550i 0.263244 0.0396776i
\(669\) 9.81316 + 25.0035i 0.379399 + 0.966693i
\(670\) −0.0250592 0.334392i −0.000968122 0.0129187i
\(671\) −9.22534 + 8.55986i −0.356140 + 0.330450i
\(672\) 0.00686546 + 0.0300795i 0.000264841 + 0.00116034i
\(673\) −18.2365 2.74871i −0.702965 0.105955i −0.212174 0.977232i \(-0.568054\pi\)
−0.490791 + 0.871277i \(0.663292\pi\)
\(674\) −1.85001 1.26132i −0.0712598 0.0485841i
\(675\) 9.82335 3.03010i 0.378101 0.116629i
\(676\) 1.53523 20.4862i 0.0590473 0.787931i
\(677\) 14.3763 + 18.0274i 0.552528 + 0.692848i 0.977157 0.212520i \(-0.0681669\pi\)
−0.424629 + 0.905367i \(0.639595\pi\)
\(678\) 0.731293 + 0.225574i 0.0280852 + 0.00866312i
\(679\) 0.0741773 0.189001i 0.00284666 0.00725318i
\(680\) 1.25143 5.48286i 0.0479901 0.210258i
\(681\) −3.39022 5.87203i −0.129913 0.225017i
\(682\) −0.325934 + 0.564535i −0.0124807 + 0.0216172i
\(683\) −34.9487 32.4277i −1.33728 1.24081i −0.947443 0.319925i \(-0.896342\pi\)
−0.389833 0.920886i \(-0.627467\pi\)
\(684\) 11.8307 14.8352i 0.452358 0.567239i
\(685\) −22.8865 + 15.6038i −0.874450 + 0.596190i
\(686\) −0.0248383 + 0.0119615i −0.000948332 + 0.000456693i
\(687\) −3.78135 −0.144268
\(688\) 25.5059 + 1.53952i 0.972403 + 0.0586936i
\(689\) 11.1386 0.424346
\(690\) −1.47644 + 0.711014i −0.0562069 + 0.0270678i
\(691\) 13.3788 9.12151i 0.508953 0.346998i −0.281459 0.959573i \(-0.590819\pi\)
0.790413 + 0.612575i \(0.209866\pi\)
\(692\) −20.9251 + 26.2392i −0.795453 + 0.997466i
\(693\) −0.0286820 0.0266130i −0.00108954 0.00101095i
\(694\) −1.82750 + 3.16533i −0.0693710 + 0.120154i
\(695\) 6.10734 + 10.5782i 0.231665 + 0.401255i
\(696\) 1.10395 4.83670i 0.0418449 0.183335i
\(697\) −7.83295 + 19.9580i −0.296694 + 0.755964i
\(698\) 1.57403 + 0.485524i 0.0595779 + 0.0183773i
\(699\) 10.2263 + 12.8234i 0.386794 + 0.485024i
\(700\) 0.00406109 0.0541915i 0.000153495 0.00204825i
\(701\) −28.2831 + 8.72419i −1.06824 + 0.329508i −0.778530 0.627607i \(-0.784035\pi\)
−0.289708 + 0.957115i \(0.593558\pi\)
\(702\) −0.991302 0.675858i −0.0374143 0.0255086i
\(703\) −37.9969 5.72711i −1.43308 0.216002i
\(704\) −3.51185 15.3864i −0.132358 0.579897i
\(705\) 17.2809 16.0343i 0.650837 0.603888i
\(706\) 0.00734050 + 0.0979522i 0.000276263 + 0.00368648i
\(707\) 0.0170991 + 0.0435679i 0.000643079 + 0.00163854i
\(708\) −4.31605 + 0.650539i −0.162207 + 0.0244488i
\(709\) 16.3466 + 7.87211i 0.613910 + 0.295643i 0.714881 0.699246i \(-0.246481\pi\)
−0.100971 + 0.994889i \(0.532195\pi\)
\(710\) −1.48538 0.715320i −0.0557452 0.0268455i
\(711\) 14.9112 2.24750i 0.559213 0.0842879i
\(712\) −3.04096 7.74824i −0.113965 0.290377i
\(713\) −0.945099 12.6115i −0.0353942 0.472303i
\(714\) −0.0115055 + 0.0106756i −0.000430584 + 0.000399523i
\(715\) −1.33867 5.86508i −0.0500633 0.219342i
\(716\) 18.5035 + 2.78895i 0.691508 + 0.104228i
\(717\) −25.3986 17.3164i −0.948527 0.646694i
\(718\) −0.0476068 + 0.0146848i −0.00177667 + 0.000548031i
\(719\) 1.34139 17.8996i 0.0500254 0.667542i −0.914675 0.404191i \(-0.867553\pi\)
0.964700 0.263351i \(-0.0848279\pi\)
\(720\) −5.43150 6.81089i −0.202420 0.253827i
\(721\) −0.00754994 0.00232885i −0.000281174 8.67308e-5i
\(722\) −1.87756 + 4.78393i −0.0698754 + 0.178040i
\(723\) −1.03325 + 4.52695i −0.0384268 + 0.168359i
\(724\) −7.30588 12.6541i −0.271521 0.470288i
\(725\) −6.56317 + 11.3677i −0.243750 + 0.422187i
\(726\) −0.849239 0.787979i −0.0315182 0.0292446i
\(727\) 7.71422 9.67332i 0.286105 0.358764i −0.617923 0.786239i \(-0.712025\pi\)
0.904027 + 0.427475i \(0.140597\pi\)
\(728\) −0.0105263 + 0.00717668i −0.000390129 + 0.000265986i
\(729\) −24.2032 + 11.6556i −0.896413 + 0.431690i
\(730\) −2.28428 −0.0845450
\(731\) 17.6846 + 35.3988i 0.654088 + 1.30927i
\(732\) 15.8471 0.585725
\(733\) 17.8504 8.59631i 0.659320 0.317512i −0.0741364 0.997248i \(-0.523620\pi\)
0.733457 + 0.679736i \(0.237906\pi\)
\(734\) −1.87448 + 1.27800i −0.0691883 + 0.0471718i
\(735\) −10.2649 + 12.8718i −0.378628 + 0.474785i
\(736\) −6.05843 5.62140i −0.223317 0.207208i
\(737\) 1.49015 2.58102i 0.0548905 0.0950732i
\(738\) −0.293070 0.507613i −0.0107881 0.0186855i
\(739\) 6.50578 28.5037i 0.239319 1.04852i −0.702310 0.711871i \(-0.747848\pi\)
0.941629 0.336653i \(-0.109295\pi\)
\(740\) −6.50229 + 16.5676i −0.239029 + 0.609036i
\(741\) −15.6288 4.82084i −0.574137 0.177098i
\(742\) 0.00841889 + 0.0105570i 0.000309067 + 0.000387558i
\(743\) −1.38658 + 18.5026i −0.0508686 + 0.678795i 0.912236 + 0.409666i \(0.134355\pi\)
−0.963104 + 0.269129i \(0.913264\pi\)
\(744\) 1.57559 0.486004i 0.0577638 0.0178178i
\(745\) 30.3674 + 20.7041i 1.11257 + 0.758541i
\(746\) 3.74260 + 0.564106i 0.137026 + 0.0206534i
\(747\) 2.53324 + 11.0988i 0.0926864 + 0.406086i
\(748\) 18.2407 16.9249i 0.666946 0.618836i
\(749\) 0.00127180 + 0.0169711i 4.64707e−5 + 0.000620109i
\(750\) 0.771106 + 1.96475i 0.0281568 + 0.0717424i
\(751\) 41.0993 6.19473i 1.49974 0.226049i 0.652713 0.757606i \(-0.273631\pi\)
0.847023 + 0.531557i \(0.178393\pi\)
\(752\) 35.1880 + 16.9457i 1.28318 + 0.617945i
\(753\) 16.4797 + 7.93621i 0.600554 + 0.289212i
\(754\) 1.51485 0.228327i 0.0551676 0.00831518i
\(755\) −2.52365 6.43015i −0.0918449 0.234017i
\(756\) 0.0124802 + 0.166537i 0.000453901 + 0.00605688i
\(757\) 18.4171 17.0886i 0.669381 0.621095i −0.270450 0.962734i \(-0.587172\pi\)
0.939831 + 0.341639i \(0.110982\pi\)
\(758\) 0.563016 + 2.46674i 0.0204497 + 0.0895959i
\(759\) −14.4018 2.17072i −0.522751 0.0787920i
\(760\) 5.86983 + 4.00198i 0.212921 + 0.145167i
\(761\) 2.55267 0.787394i 0.0925342 0.0285430i −0.248142 0.968724i \(-0.579820\pi\)
0.340677 + 0.940181i \(0.389344\pi\)
\(762\) 0.116841 1.55913i 0.00423269 0.0564813i
\(763\) −0.113994 0.142944i −0.00412685 0.00517490i
\(764\) −36.6051 11.2912i −1.32433 0.408500i
\(765\) 4.92867 12.5580i 0.178196 0.454037i
\(766\) −0.400871 + 1.75633i −0.0144841 + 0.0634588i
\(767\) −1.35370 2.34468i −0.0488793 0.0846614i
\(768\) −9.66602 + 16.7420i −0.348793 + 0.604126i
\(769\) 27.1593 + 25.2001i 0.979389 + 0.908741i 0.995840 0.0911240i \(-0.0290460\pi\)
−0.0164501 + 0.999865i \(0.505236\pi\)
\(770\) 0.00454701 0.00570178i 0.000163863