Properties

Label 19.2.e.a.9.1
Level $19$
Weight $2$
Character 19.9
Analytic conductor $0.152$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 19.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.151715763840\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \( x^{6} - x^{3} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.1
Root \(-0.173648 - 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 19.9
Dual form 19.2.e.a.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.233956 - 1.32683i) q^{2} +(-2.20574 + 1.85083i) q^{3} +(0.173648 - 0.0632028i) q^{4} +(-0.826352 - 0.300767i) q^{5} +(2.97178 + 2.49362i) q^{6} +(-0.173648 + 0.300767i) q^{7} +(-1.47178 - 2.54920i) q^{8} +(0.918748 - 5.21048i) q^{9} +O(q^{10})\) \(q+(-0.233956 - 1.32683i) q^{2} +(-2.20574 + 1.85083i) q^{3} +(0.173648 - 0.0632028i) q^{4} +(-0.826352 - 0.300767i) q^{5} +(2.97178 + 2.49362i) q^{6} +(-0.173648 + 0.300767i) q^{7} +(-1.47178 - 2.54920i) q^{8} +(0.918748 - 5.21048i) q^{9} +(-0.205737 + 1.16679i) q^{10} +(1.11334 + 1.92836i) q^{11} +(-0.266044 + 0.460802i) q^{12} +(1.97178 + 1.65452i) q^{13} +(0.439693 + 0.160035i) q^{14} +(2.37939 - 0.866025i) q^{15} +(-2.75490 + 2.31164i) q^{16} +(0.0812519 + 0.460802i) q^{17} -7.12836 q^{18} +(-4.29813 - 0.725293i) q^{19} -0.162504 q^{20} +(-0.173648 - 0.984808i) q^{21} +(2.29813 - 1.92836i) q^{22} +(2.53209 - 0.921605i) q^{23} +(7.96451 + 2.89884i) q^{24} +(-3.23783 - 2.71686i) q^{25} +(1.73396 - 3.00330i) q^{26} +(3.29813 + 5.71253i) q^{27} +(-0.0111444 + 0.0632028i) q^{28} +(-1.19459 + 6.77487i) q^{29} +(-1.70574 - 2.95442i) q^{30} +(3.55303 - 6.15403i) q^{31} +(-0.798133 - 0.669713i) q^{32} +(-6.02481 - 2.19285i) q^{33} +(0.592396 - 0.215615i) q^{34} +(0.233956 - 0.196312i) q^{35} +(-0.169778 - 0.962858i) q^{36} +4.94356 q^{37} +(0.0432332 + 5.87257i) q^{38} -7.41147 q^{39} +(0.449493 + 2.54920i) q^{40} +(1.89646 - 1.59132i) q^{41} +(-1.26604 + 0.460802i) q^{42} +(-3.66637 - 1.33445i) q^{43} +(0.315207 + 0.264490i) q^{44} +(-2.32635 + 4.02936i) q^{45} +(-1.81521 - 3.14403i) q^{46} +(-1.26604 + 7.18009i) q^{47} +(1.79813 - 10.1977i) q^{48} +(3.43969 + 5.95772i) q^{49} +(-2.84730 + 4.93166i) q^{50} +(-1.03209 - 0.866025i) q^{51} +(0.446967 + 0.162683i) q^{52} +(2.66637 - 0.970481i) q^{53} +(6.80793 - 5.71253i) q^{54} +(-0.340022 - 1.92836i) q^{55} +1.02229 q^{56} +(10.8229 - 6.35532i) q^{57} +9.26857 q^{58} +(-1.09492 - 6.20961i) q^{59} +(0.358441 - 0.300767i) q^{60} +(-8.57785 + 3.12208i) q^{61} +(-8.99660 - 3.27449i) q^{62} +(1.40760 + 1.18112i) q^{63} +(-4.29813 + 7.44459i) q^{64} +(-1.13176 - 1.96026i) q^{65} +(-1.50000 + 8.50692i) q^{66} +(1.33275 - 7.55839i) q^{67} +(0.0432332 + 0.0748822i) q^{68} +(-3.87939 + 6.71929i) q^{69} +(-0.315207 - 0.264490i) q^{70} +(8.74422 + 3.18264i) q^{71} +(-14.6348 + 5.32661i) q^{72} +(1.06418 - 0.892951i) q^{73} +(-1.15657 - 6.55926i) q^{74} +12.1702 q^{75} +(-0.792204 + 0.145708i) q^{76} -0.773318 q^{77} +(1.73396 + 9.83375i) q^{78} +(-9.07398 + 7.61397i) q^{79} +(2.97178 - 1.08164i) q^{80} +(-2.93242 - 1.06731i) q^{81} +(-2.55509 - 2.14398i) q^{82} +(7.41534 - 12.8438i) q^{83} +(-0.0923963 - 0.160035i) q^{84} +(0.0714517 - 0.405223i) q^{85} +(-0.912818 + 5.17685i) q^{86} +(-9.90420 - 17.1546i) q^{87} +(3.27719 - 5.67626i) q^{88} +(-7.88326 - 6.61484i) q^{89} +(5.89053 + 2.14398i) q^{90} +(-0.840022 + 0.305743i) q^{91} +(0.381445 - 0.320070i) q^{92} +(3.55303 + 20.1503i) q^{93} +9.82295 q^{94} +(3.33363 + 1.89209i) q^{95} +3.00000 q^{96} +(1.64156 + 9.30975i) q^{97} +(7.10014 - 5.95772i) q^{98} +(11.0706 - 4.02936i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 6 q^{2} - 3 q^{3} - 6 q^{5} + 3 q^{6} + 6 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 6 q^{2} - 3 q^{3} - 6 q^{5} + 3 q^{6} + 6 q^{8} + 3 q^{9} + 9 q^{10} + 3 q^{12} - 3 q^{13} - 3 q^{14} + 3 q^{15} - 18 q^{16} + 3 q^{17} - 6 q^{18} - 12 q^{19} - 6 q^{20} + 6 q^{23} + 15 q^{24} + 15 q^{26} + 6 q^{27} + 6 q^{28} - 3 q^{29} + 9 q^{31} + 9 q^{32} - 9 q^{33} + 6 q^{35} - 24 q^{36} - 15 q^{38} - 24 q^{39} + 21 q^{41} - 3 q^{42} - 3 q^{43} + 9 q^{44} - 15 q^{45} - 18 q^{46} - 3 q^{47} - 3 q^{48} + 15 q^{49} - 15 q^{50} + 3 q^{51} + 15 q^{52} - 3 q^{53} + 30 q^{54} + 18 q^{55} - 6 q^{56} + 24 q^{57} + 36 q^{58} + 12 q^{59} - 6 q^{60} - 12 q^{61} - 12 q^{62} + 12 q^{63} - 12 q^{64} - 12 q^{65} - 9 q^{66} - 30 q^{67} - 15 q^{68} - 12 q^{69} - 9 q^{70} - 6 q^{71} - 12 q^{72} - 12 q^{73} + 15 q^{74} + 30 q^{75} + 36 q^{76} - 18 q^{77} + 15 q^{78} - 39 q^{79} + 3 q^{80} + 6 q^{81} - 54 q^{82} + 3 q^{84} + 24 q^{86} - 21 q^{87} + 9 q^{88} - 12 q^{89} + 18 q^{90} + 15 q^{91} + 42 q^{92} + 9 q^{93} + 18 q^{94} + 39 q^{95} + 18 q^{96} + 18 q^{97} - 9 q^{98} + 9 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.233956 1.32683i −0.165432 0.938209i −0.948618 0.316423i \(-0.897518\pi\)
0.783187 0.621786i \(-0.213593\pi\)
\(3\) −2.20574 + 1.85083i −1.27348 + 1.06858i −0.279375 + 0.960182i \(0.590127\pi\)
−0.994108 + 0.108397i \(0.965428\pi\)
\(4\) 0.173648 0.0632028i 0.0868241 0.0316014i
\(5\) −0.826352 0.300767i −0.369556 0.134507i 0.150565 0.988600i \(-0.451891\pi\)
−0.520121 + 0.854093i \(0.674113\pi\)
\(6\) 2.97178 + 2.49362i 1.21322 + 1.01802i
\(7\) −0.173648 + 0.300767i −0.0656328 + 0.113679i −0.896975 0.442082i \(-0.854240\pi\)
0.831342 + 0.555762i \(0.187573\pi\)
\(8\) −1.47178 2.54920i −0.520353 0.901278i
\(9\) 0.918748 5.21048i 0.306249 1.73683i
\(10\) −0.205737 + 1.16679i −0.0650598 + 0.368972i
\(11\) 1.11334 + 1.92836i 0.335685 + 0.581423i 0.983616 0.180276i \(-0.0576989\pi\)
−0.647931 + 0.761699i \(0.724366\pi\)
\(12\) −0.266044 + 0.460802i −0.0768004 + 0.133022i
\(13\) 1.97178 + 1.65452i 0.546874 + 0.458882i 0.873881 0.486140i \(-0.161596\pi\)
−0.327007 + 0.945022i \(0.606040\pi\)
\(14\) 0.439693 + 0.160035i 0.117513 + 0.0427712i
\(15\) 2.37939 0.866025i 0.614355 0.223607i
\(16\) −2.75490 + 2.31164i −0.688725 + 0.577909i
\(17\) 0.0812519 + 0.460802i 0.0197065 + 0.111761i 0.993074 0.117488i \(-0.0374841\pi\)
−0.973368 + 0.229249i \(0.926373\pi\)
\(18\) −7.12836 −1.68017
\(19\) −4.29813 0.725293i −0.986059 0.166394i
\(20\) −0.162504 −0.0363370
\(21\) −0.173648 0.984808i −0.0378931 0.214903i
\(22\) 2.29813 1.92836i 0.489964 0.411128i
\(23\) 2.53209 0.921605i 0.527977 0.192168i −0.0642578 0.997933i \(-0.520468\pi\)
0.592235 + 0.805765i \(0.298246\pi\)
\(24\) 7.96451 + 2.89884i 1.62575 + 0.591724i
\(25\) −3.23783 2.71686i −0.647565 0.543372i
\(26\) 1.73396 3.00330i 0.340057 0.588995i
\(27\) 3.29813 + 5.71253i 0.634726 + 1.09938i
\(28\) −0.0111444 + 0.0632028i −0.00210608 + 0.0119442i
\(29\) −1.19459 + 6.77487i −0.221830 + 1.25806i 0.646822 + 0.762641i \(0.276097\pi\)
−0.868653 + 0.495421i \(0.835014\pi\)
\(30\) −1.70574 2.95442i −0.311424 0.539401i
\(31\) 3.55303 6.15403i 0.638144 1.10530i −0.347696 0.937607i \(-0.613036\pi\)
0.985840 0.167690i \(-0.0536307\pi\)
\(32\) −0.798133 0.669713i −0.141091 0.118390i
\(33\) −6.02481 2.19285i −1.04879 0.381727i
\(34\) 0.592396 0.215615i 0.101595 0.0369776i
\(35\) 0.233956 0.196312i 0.0395457 0.0331828i
\(36\) −0.169778 0.962858i −0.0282963 0.160476i
\(37\) 4.94356 0.812717 0.406358 0.913714i \(-0.366798\pi\)
0.406358 + 0.913714i \(0.366798\pi\)
\(38\) 0.0432332 + 5.87257i 0.00701336 + 0.952657i
\(39\) −7.41147 −1.18679
\(40\) 0.449493 + 2.54920i 0.0710711 + 0.403064i
\(41\) 1.89646 1.59132i 0.296177 0.248522i −0.482574 0.875855i \(-0.660298\pi\)
0.778751 + 0.627333i \(0.215854\pi\)
\(42\) −1.26604 + 0.460802i −0.195355 + 0.0711034i
\(43\) −3.66637 1.33445i −0.559117 0.203502i 0.0469757 0.998896i \(-0.485042\pi\)
−0.606093 + 0.795394i \(0.707264\pi\)
\(44\) 0.315207 + 0.264490i 0.0475193 + 0.0398734i
\(45\) −2.32635 + 4.02936i −0.346792 + 0.600661i
\(46\) −1.81521 3.14403i −0.267638 0.463562i
\(47\) −1.26604 + 7.18009i −0.184672 + 1.04732i 0.741705 + 0.670726i \(0.234017\pi\)
−0.926377 + 0.376598i \(0.877094\pi\)
\(48\) 1.79813 10.1977i 0.259538 1.47191i
\(49\) 3.43969 + 5.95772i 0.491385 + 0.851103i
\(50\) −2.84730 + 4.93166i −0.402669 + 0.697442i
\(51\) −1.03209 0.866025i −0.144521 0.121268i
\(52\) 0.446967 + 0.162683i 0.0619831 + 0.0225600i
\(53\) 2.66637 0.970481i 0.366255 0.133306i −0.152335 0.988329i \(-0.548679\pi\)
0.518590 + 0.855023i \(0.326457\pi\)
\(54\) 6.80793 5.71253i 0.926442 0.777377i
\(55\) −0.340022 1.92836i −0.0458486 0.260020i
\(56\) 1.02229 0.136609
\(57\) 10.8229 6.35532i 1.43353 0.841783i
\(58\) 9.26857 1.21702
\(59\) −1.09492 6.20961i −0.142547 0.808423i −0.969304 0.245864i \(-0.920928\pi\)
0.826757 0.562559i \(-0.190183\pi\)
\(60\) 0.358441 0.300767i 0.0462745 0.0388289i
\(61\) −8.57785 + 3.12208i −1.09828 + 0.399742i −0.826682 0.562669i \(-0.809775\pi\)
−0.271599 + 0.962411i \(0.587552\pi\)
\(62\) −8.99660 3.27449i −1.14257 0.415861i
\(63\) 1.40760 + 1.18112i 0.177341 + 0.148807i
\(64\) −4.29813 + 7.44459i −0.537267 + 0.930573i
\(65\) −1.13176 1.96026i −0.140377 0.243141i
\(66\) −1.50000 + 8.50692i −0.184637 + 1.04713i
\(67\) 1.33275 7.55839i 0.162821 0.923405i −0.788461 0.615084i \(-0.789122\pi\)
0.951283 0.308320i \(-0.0997669\pi\)
\(68\) 0.0432332 + 0.0748822i 0.00524280 + 0.00908080i
\(69\) −3.87939 + 6.71929i −0.467023 + 0.808908i
\(70\) −0.315207 0.264490i −0.0376745 0.0316127i
\(71\) 8.74422 + 3.18264i 1.03775 + 0.377709i 0.804026 0.594594i \(-0.202687\pi\)
0.233722 + 0.972303i \(0.424909\pi\)
\(72\) −14.6348 + 5.32661i −1.72472 + 0.627748i
\(73\) 1.06418 0.892951i 0.124553 0.104512i −0.578384 0.815765i \(-0.696316\pi\)
0.702936 + 0.711253i \(0.251872\pi\)
\(74\) −1.15657 6.55926i −0.134449 0.762498i
\(75\) 12.1702 1.40530
\(76\) −0.792204 + 0.145708i −0.0908720 + 0.0167139i
\(77\) −0.773318 −0.0881278
\(78\) 1.73396 + 9.83375i 0.196332 + 1.11345i
\(79\) −9.07398 + 7.61397i −1.02090 + 0.856639i −0.989741 0.142876i \(-0.954365\pi\)
−0.0311616 + 0.999514i \(0.509921\pi\)
\(80\) 2.97178 1.08164i 0.332255 0.120931i
\(81\) −2.93242 1.06731i −0.325824 0.118590i
\(82\) −2.55509 2.14398i −0.282163 0.236763i
\(83\) 7.41534 12.8438i 0.813940 1.40979i −0.0961469 0.995367i \(-0.530652\pi\)
0.910087 0.414418i \(-0.136015\pi\)
\(84\) −0.0923963 0.160035i −0.0100813 0.0174613i
\(85\) 0.0714517 0.405223i 0.00775003 0.0439526i
\(86\) −0.912818 + 5.17685i −0.0984317 + 0.558234i
\(87\) −9.90420 17.1546i −1.06184 1.83916i
\(88\) 3.27719 5.67626i 0.349349 0.605091i
\(89\) −7.88326 6.61484i −0.835623 0.701171i 0.120951 0.992658i \(-0.461406\pi\)
−0.956575 + 0.291487i \(0.905850\pi\)
\(90\) 5.89053 + 2.14398i 0.620916 + 0.225995i
\(91\) −0.840022 + 0.305743i −0.0880583 + 0.0320506i
\(92\) 0.381445 0.320070i 0.0397684 0.0333696i
\(93\) 3.55303 + 20.1503i 0.368432 + 2.08948i
\(94\) 9.82295 1.01316
\(95\) 3.33363 + 1.89209i 0.342023 + 0.194124i
\(96\) 3.00000 0.306186
\(97\) 1.64156 + 9.30975i 0.166675 + 0.945261i 0.947320 + 0.320287i \(0.103779\pi\)
−0.780645 + 0.624974i \(0.785109\pi\)
\(98\) 7.10014 5.95772i 0.717222 0.601821i
\(99\) 11.0706 4.02936i 1.11263 0.404966i
\(100\) −0.733956 0.267138i −0.0733956 0.0267138i
\(101\) −7.08512 5.94512i −0.704996 0.591562i 0.218194 0.975905i \(-0.429983\pi\)
−0.923190 + 0.384343i \(0.874428\pi\)
\(102\) −0.907604 + 1.57202i −0.0898662 + 0.155653i
\(103\) 2.75490 + 4.77163i 0.271448 + 0.470162i 0.969233 0.246145i \(-0.0791640\pi\)
−0.697785 + 0.716308i \(0.745831\pi\)
\(104\) 1.31567 7.46156i 0.129012 0.731666i
\(105\) −0.152704 + 0.866025i −0.0149023 + 0.0845154i
\(106\) −1.91147 3.31077i −0.185659 0.321570i
\(107\) −5.11721 + 8.86327i −0.494699 + 0.856845i −0.999981 0.00610974i \(-0.998055\pi\)
0.505282 + 0.862954i \(0.331389\pi\)
\(108\) 0.933763 + 0.783520i 0.0898514 + 0.0753943i
\(109\) 1.71301 + 0.623485i 0.164077 + 0.0597190i 0.422753 0.906245i \(-0.361064\pi\)
−0.258676 + 0.965964i \(0.583286\pi\)
\(110\) −2.47906 + 0.902302i −0.236369 + 0.0860312i
\(111\) −10.9042 + 9.14971i −1.03498 + 0.868452i
\(112\) −0.216881 1.23000i −0.0204934 0.116224i
\(113\) −17.6878 −1.66393 −0.831963 0.554830i \(-0.812783\pi\)
−0.831963 + 0.554830i \(0.812783\pi\)
\(114\) −10.9645 12.8733i −1.02692 1.20570i
\(115\) −2.36959 −0.220965
\(116\) 0.220752 + 1.25195i 0.0204963 + 0.116240i
\(117\) 10.4324 8.75384i 0.964477 0.809293i
\(118\) −7.98293 + 2.90555i −0.734888 + 0.267477i
\(119\) −0.152704 0.0555796i −0.0139983 0.00509497i
\(120\) −5.70961 4.79093i −0.521213 0.437350i
\(121\) 3.02094 5.23243i 0.274631 0.475675i
\(122\) 6.14930 + 10.6509i 0.556731 + 0.964287i
\(123\) −1.23783 + 7.02006i −0.111611 + 0.632977i
\(124\) 0.228026 1.29320i 0.0204773 0.116133i
\(125\) 4.05690 + 7.02676i 0.362861 + 0.628493i
\(126\) 1.23783 2.14398i 0.110274 0.191001i
\(127\) 8.88919 + 7.45891i 0.788788 + 0.661871i 0.945445 0.325782i \(-0.105627\pi\)
−0.156657 + 0.987653i \(0.550072\pi\)
\(128\) 8.92514 + 3.24849i 0.788879 + 0.287128i
\(129\) 10.5569 3.84240i 0.929484 0.338304i
\(130\) −2.33615 + 1.96026i −0.204894 + 0.171927i
\(131\) 0.320422 + 1.81720i 0.0279954 + 0.158770i 0.995601 0.0936982i \(-0.0298689\pi\)
−0.967605 + 0.252468i \(0.918758\pi\)
\(132\) −1.18479 −0.103123
\(133\) 0.964508 1.16679i 0.0836334 0.101174i
\(134\) −10.3405 −0.893282
\(135\) −1.00727 5.71253i −0.0866923 0.491657i
\(136\) 1.05509 0.885328i 0.0904735 0.0759162i
\(137\) −0.240352 + 0.0874810i −0.0205347 + 0.00747401i −0.352267 0.935900i \(-0.614589\pi\)
0.331732 + 0.943374i \(0.392367\pi\)
\(138\) 9.82295 + 3.57526i 0.836185 + 0.304346i
\(139\) 3.26604 + 2.74054i 0.277022 + 0.232449i 0.770704 0.637193i \(-0.219905\pi\)
−0.493682 + 0.869643i \(0.664349\pi\)
\(140\) 0.0282185 0.0488759i 0.00238490 0.00413076i
\(141\) −10.4966 18.1806i −0.883973 1.53109i
\(142\) 2.17705 12.3467i 0.182694 1.03611i
\(143\) −0.995252 + 5.64436i −0.0832272 + 0.472005i
\(144\) 9.51367 + 16.4782i 0.792806 + 1.37318i
\(145\) 3.02481 5.23913i 0.251197 0.435086i
\(146\) −1.43376 1.20307i −0.118659 0.0995668i
\(147\) −18.6138 6.77487i −1.53524 0.558782i
\(148\) 0.858441 0.312447i 0.0705634 0.0256830i
\(149\) 12.6853 10.6442i 1.03922 0.872007i 0.0472981 0.998881i \(-0.484939\pi\)
0.991919 + 0.126874i \(0.0404945\pi\)
\(150\) −2.84730 16.1478i −0.232481 1.31846i
\(151\) −4.36184 −0.354962 −0.177481 0.984124i \(-0.556795\pi\)
−0.177481 + 0.984124i \(0.556795\pi\)
\(152\) 4.47700 + 12.0243i 0.363132 + 0.975298i
\(153\) 2.47565 0.200145
\(154\) 0.180922 + 1.02606i 0.0145791 + 0.0826823i
\(155\) −4.78699 + 4.01676i −0.384500 + 0.322634i
\(156\) −1.28699 + 0.468426i −0.103042 + 0.0375041i
\(157\) 9.03849 + 3.28974i 0.721350 + 0.262550i 0.676499 0.736444i \(-0.263496\pi\)
0.0448510 + 0.998994i \(0.485719\pi\)
\(158\) 12.2253 + 10.2583i 0.972596 + 0.816105i
\(159\) −4.08512 + 7.07564i −0.323971 + 0.561135i
\(160\) 0.458111 + 0.793471i 0.0362168 + 0.0627294i
\(161\) −0.162504 + 0.921605i −0.0128071 + 0.0726326i
\(162\) −0.730085 + 4.14052i −0.0573609 + 0.325310i
\(163\) −4.17752 7.23567i −0.327209 0.566742i 0.654748 0.755847i \(-0.272775\pi\)
−0.981957 + 0.189105i \(0.939441\pi\)
\(164\) 0.228741 0.396191i 0.0178617 0.0309373i
\(165\) 4.31908 + 3.62414i 0.336240 + 0.282139i
\(166\) −18.7763 6.83402i −1.45732 0.530423i
\(167\) −3.79174 + 1.38008i −0.293413 + 0.106794i −0.484533 0.874773i \(-0.661010\pi\)
0.191120 + 0.981567i \(0.438788\pi\)
\(168\) −2.25490 + 1.89209i −0.173969 + 0.145978i
\(169\) −1.10694 6.27779i −0.0851496 0.482907i
\(170\) −0.554378 −0.0425188
\(171\) −7.72803 + 21.7290i −0.590977 + 1.66166i
\(172\) −0.721000 −0.0549758
\(173\) −3.49794 19.8378i −0.265943 1.50824i −0.766335 0.642441i \(-0.777922\pi\)
0.500391 0.865799i \(-0.333189\pi\)
\(174\) −20.4440 + 17.1546i −1.54986 + 1.30049i
\(175\) 1.37939 0.502055i 0.104272 0.0379518i
\(176\) −7.52481 2.73881i −0.567204 0.206445i
\(177\) 13.9081 + 11.6703i 1.04539 + 0.877190i
\(178\) −6.93242 + 12.0073i −0.519607 + 0.899985i
\(179\) 5.75624 + 9.97011i 0.430242 + 0.745201i 0.996894 0.0787564i \(-0.0250949\pi\)
−0.566652 + 0.823957i \(0.691762\pi\)
\(180\) −0.149300 + 0.846723i −0.0111282 + 0.0631110i
\(181\) 1.48246 8.40744i 0.110190 0.624920i −0.878829 0.477136i \(-0.841675\pi\)
0.989020 0.147784i \(-0.0472141\pi\)
\(182\) 0.602196 + 1.04303i 0.0446378 + 0.0773149i
\(183\) 13.1420 22.7627i 0.971487 1.68266i
\(184\) −6.07604 5.09840i −0.447931 0.375859i
\(185\) −4.08512 1.48686i −0.300344 0.109316i
\(186\) 25.9047 9.42853i 1.89942 0.691333i
\(187\) −0.798133 + 0.669713i −0.0583653 + 0.0489743i
\(188\) 0.233956 + 1.32683i 0.0170630 + 0.0967689i
\(189\) −2.29086 −0.166635
\(190\) 1.73055 4.86581i 0.125547 0.353003i
\(191\) 18.3354 1.32671 0.663353 0.748307i \(-0.269133\pi\)
0.663353 + 0.748307i \(0.269133\pi\)
\(192\) −4.29813 24.3759i −0.310191 1.75918i
\(193\) 0.228026 0.191336i 0.0164137 0.0137727i −0.634544 0.772887i \(-0.718812\pi\)
0.650958 + 0.759114i \(0.274368\pi\)
\(194\) 11.9684 4.35613i 0.859279 0.312752i
\(195\) 6.12449 + 2.22913i 0.438583 + 0.159631i
\(196\) 0.973841 + 0.817150i 0.0695601 + 0.0583678i
\(197\) −6.57057 + 11.3806i −0.468134 + 0.810832i −0.999337 0.0364128i \(-0.988407\pi\)
0.531203 + 0.847245i \(0.321740\pi\)
\(198\) −7.93629 13.7461i −0.564008 0.976890i
\(199\) −0.0445774 + 0.252811i −0.00316001 + 0.0179213i −0.986347 0.164680i \(-0.947341\pi\)
0.983187 + 0.182602i \(0.0584519\pi\)
\(200\) −2.16044 + 12.2525i −0.152766 + 0.866382i
\(201\) 11.0496 + 19.1385i 0.779381 + 1.34993i
\(202\) −6.23055 + 10.7916i −0.438380 + 0.759297i
\(203\) −1.83022 1.53574i −0.128456 0.107788i
\(204\) −0.233956 0.0851529i −0.0163802 0.00596189i
\(205\) −2.04576 + 0.744596i −0.142882 + 0.0520048i
\(206\) 5.68660 4.77163i 0.396204 0.332455i
\(207\) −2.47565 14.0401i −0.172070 0.975856i
\(208\) −9.25671 −0.641837
\(209\) −3.38666 9.09586i −0.234260 0.629174i
\(210\) 1.18479 0.0817585
\(211\) 0.425145 + 2.41112i 0.0292682 + 0.165988i 0.995938 0.0900364i \(-0.0286983\pi\)
−0.966670 + 0.256024i \(0.917587\pi\)
\(212\) 0.401674 0.337044i 0.0275871 0.0231483i
\(213\) −25.1780 + 9.16404i −1.72517 + 0.627909i
\(214\) 12.9572 + 4.71605i 0.885738 + 0.322382i
\(215\) 2.62836 + 2.20545i 0.179252 + 0.150411i
\(216\) 9.70826 16.8152i 0.660564 1.14413i
\(217\) 1.23396 + 2.13727i 0.0837664 + 0.145088i
\(218\) 0.426489 2.41874i 0.0288855 0.163818i
\(219\) −0.694593 + 3.93923i −0.0469362 + 0.266189i
\(220\) −0.180922 0.313366i −0.0121978 0.0211272i
\(221\) −0.602196 + 1.04303i −0.0405081 + 0.0701621i
\(222\) 14.6912 + 12.3274i 0.986008 + 0.827359i
\(223\) 7.99660 + 2.91052i 0.535492 + 0.194903i 0.595589 0.803289i \(-0.296919\pi\)
−0.0600971 + 0.998193i \(0.519141\pi\)
\(224\) 0.340022 0.123758i 0.0227187 0.00826893i
\(225\) −17.1309 + 14.3745i −1.14206 + 0.958301i
\(226\) 4.13816 + 23.4686i 0.275266 + 1.56111i
\(227\) −14.1506 −0.939211 −0.469606 0.882876i \(-0.655604\pi\)
−0.469606 + 0.882876i \(0.655604\pi\)
\(228\) 1.47771 1.78763i 0.0978638 0.118389i
\(229\) −20.5330 −1.35686 −0.678430 0.734665i \(-0.737339\pi\)
−0.678430 + 0.734665i \(0.737339\pi\)
\(230\) 0.554378 + 3.14403i 0.0365546 + 0.207311i
\(231\) 1.70574 1.43128i 0.112229 0.0941715i
\(232\) 19.0287 6.92588i 1.24929 0.454706i
\(233\) −16.5865 6.03698i −1.08662 0.395496i −0.264249 0.964454i \(-0.585124\pi\)
−0.822366 + 0.568959i \(0.807346\pi\)
\(234\) −14.0556 11.7940i −0.918841 0.770999i
\(235\) 3.20574 5.55250i 0.209119 0.362205i
\(236\) −0.582596 1.00909i −0.0379238 0.0656859i
\(237\) 5.92262 33.5888i 0.384715 2.18183i
\(238\) −0.0380187 + 0.215615i −0.00246438 + 0.0139762i
\(239\) −1.17617 2.03719i −0.0760804 0.131775i 0.825475 0.564438i \(-0.190907\pi\)
−0.901556 + 0.432663i \(0.857574\pi\)
\(240\) −4.55303 + 7.88609i −0.293897 + 0.509045i
\(241\) 10.5719 + 8.87089i 0.680997 + 0.571424i 0.916298 0.400498i \(-0.131163\pi\)
−0.235300 + 0.971923i \(0.575607\pi\)
\(242\) −7.64930 2.78412i −0.491716 0.178970i
\(243\) −10.1518 + 3.69496i −0.651240 + 0.237032i
\(244\) −1.29220 + 1.08429i −0.0827249 + 0.0694144i
\(245\) −1.05051 5.95772i −0.0671144 0.380625i
\(246\) 9.60401 0.612329
\(247\) −7.27497 8.54147i −0.462895 0.543481i
\(248\) −20.9172 −1.32824
\(249\) 7.41534 + 42.0545i 0.469928 + 2.66510i
\(250\) 8.37417 7.02676i 0.529629 0.444412i
\(251\) 3.91400 1.42458i 0.247050 0.0899187i −0.215528 0.976498i \(-0.569147\pi\)
0.462577 + 0.886579i \(0.346925\pi\)
\(252\) 0.319078 + 0.116135i 0.0201000 + 0.00731581i
\(253\) 4.59627 + 3.85673i 0.288965 + 0.242470i
\(254\) 7.81702 13.5395i 0.490483 0.849542i
\(255\) 0.592396 + 1.02606i 0.0370973 + 0.0642544i
\(256\) −0.763356 + 4.32921i −0.0477098 + 0.270575i
\(257\) 0.115867 0.657115i 0.00722759 0.0409897i −0.980981 0.194105i \(-0.937820\pi\)
0.988208 + 0.153116i \(0.0489307\pi\)
\(258\) −7.56805 13.1082i −0.471166 0.816084i
\(259\) −0.858441 + 1.48686i −0.0533409 + 0.0923892i
\(260\) −0.320422 0.268866i −0.0198717 0.0166744i
\(261\) 34.2028 + 12.4488i 2.11710 + 0.770561i
\(262\) 2.33615 0.850290i 0.144328 0.0525311i
\(263\) 8.73261 7.32753i 0.538476 0.451835i −0.332540 0.943089i \(-0.607906\pi\)
0.871016 + 0.491254i \(0.163461\pi\)
\(264\) 3.27719 + 18.5859i 0.201697 + 1.14388i
\(265\) −2.49525 −0.153282
\(266\) −1.77379 1.00676i −0.108758 0.0617283i
\(267\) 29.6313 1.81341
\(268\) −0.246282 1.39673i −0.0150441 0.0853191i
\(269\) 14.8537 12.4637i 0.905646 0.759927i −0.0656400 0.997843i \(-0.520909\pi\)
0.971286 + 0.237916i \(0.0764644\pi\)
\(270\) −7.34389 + 2.67296i −0.446935 + 0.162671i
\(271\) 12.5865 + 4.58110i 0.764573 + 0.278282i 0.694725 0.719276i \(-0.255526\pi\)
0.0698486 + 0.997558i \(0.477748\pi\)
\(272\) −1.28905 1.08164i −0.0781600 0.0655841i
\(273\) 1.28699 2.22913i 0.0778921 0.134913i
\(274\) 0.172304 + 0.298439i 0.0104093 + 0.0180294i
\(275\) 1.63429 9.26849i 0.0985511 0.558911i
\(276\) −0.248970 + 1.41198i −0.0149863 + 0.0849913i
\(277\) −8.87346 15.3693i −0.533154 0.923450i −0.999250 0.0387161i \(-0.987673\pi\)
0.466096 0.884734i \(-0.345660\pi\)
\(278\) 2.87211 4.97464i 0.172258 0.298359i
\(279\) −28.8011 24.1670i −1.72428 1.44684i
\(280\) −0.844770 0.307471i −0.0504847 0.0183749i
\(281\) −17.1766 + 6.25179i −1.02467 + 0.372950i −0.799050 0.601265i \(-0.794664\pi\)
−0.225622 + 0.974215i \(0.572442\pi\)
\(282\) −21.6668 + 18.1806i −1.29024 + 1.08264i
\(283\) 1.33497 + 7.57099i 0.0793557 + 0.450049i 0.998432 + 0.0559700i \(0.0178251\pi\)
−0.919077 + 0.394079i \(0.871064\pi\)
\(284\) 1.71957 0.102038
\(285\) −10.8550 + 1.99654i −0.642997 + 0.118265i
\(286\) 7.72193 0.456608
\(287\) 0.149300 + 0.846723i 0.00881290 + 0.0499805i
\(288\) −4.22281 + 3.54336i −0.248832 + 0.208794i
\(289\) 15.7690 5.73946i 0.927590 0.337615i
\(290\) −7.65910 2.78768i −0.449758 0.163698i
\(291\) −20.8516 17.4966i −1.22234 1.02567i
\(292\) 0.128356 0.222318i 0.00751144 0.0130102i
\(293\) 5.25150 + 9.09586i 0.306796 + 0.531386i 0.977660 0.210195i \(-0.0674098\pi\)
−0.670864 + 0.741581i \(0.734076\pi\)
\(294\) −4.63429 + 26.2823i −0.270277 + 1.53282i
\(295\) −0.962859 + 5.46064i −0.0560598 + 0.317931i
\(296\) −7.27584 12.6021i −0.422900 0.732484i
\(297\) −7.34389 + 12.7200i −0.426136 + 0.738089i
\(298\) −17.0908 14.3409i −0.990044 0.830745i
\(299\) 6.51754 + 2.37219i 0.376919 + 0.137187i
\(300\) 2.11334 0.769193i 0.122014 0.0444094i
\(301\) 1.03802 0.871001i 0.0598304 0.0502037i
\(302\) 1.02048 + 5.78742i 0.0587219 + 0.333028i
\(303\) 26.6313 1.52993
\(304\) 13.5175 7.93761i 0.775284 0.455253i
\(305\) 8.02734 0.459644
\(306\) −0.579193 3.28476i −0.0331102 0.187777i
\(307\) −8.95929 + 7.51774i −0.511334 + 0.429060i −0.861598 0.507591i \(-0.830536\pi\)
0.350264 + 0.936651i \(0.386092\pi\)
\(308\) −0.134285 + 0.0488759i −0.00765162 + 0.00278496i
\(309\) −14.9081 5.42609i −0.848091 0.308680i
\(310\) 6.44949 + 5.41177i 0.366307 + 0.307368i
\(311\) −7.98293 + 13.8268i −0.452670 + 0.784048i −0.998551 0.0538151i \(-0.982862\pi\)
0.545881 + 0.837863i \(0.316195\pi\)
\(312\) 10.9081 + 18.8933i 0.617548 + 1.06962i
\(313\) −4.62402 + 26.2241i −0.261365 + 1.48227i 0.517825 + 0.855487i \(0.326742\pi\)
−0.779190 + 0.626788i \(0.784369\pi\)
\(314\) 2.25031 12.7622i 0.126993 0.720211i
\(315\) −0.807934 1.39938i −0.0455219 0.0788462i
\(316\) −1.09446 + 1.89565i −0.0615679 + 0.106639i
\(317\) 22.6229 + 18.9829i 1.27063 + 1.06618i 0.994465 + 0.105073i \(0.0335077\pi\)
0.276164 + 0.961111i \(0.410937\pi\)
\(318\) 10.3439 + 3.76487i 0.580057 + 0.211123i
\(319\) −14.3944 + 5.23913i −0.805932 + 0.293335i
\(320\) 5.79086 4.85911i 0.323719 0.271632i
\(321\) −5.11721 29.0211i −0.285615 1.61980i
\(322\) 1.26083 0.0702633
\(323\) −0.0150147 2.03952i −0.000835443 0.113482i
\(324\) −0.576666 −0.0320370
\(325\) −1.88919 10.7141i −0.104793 0.594311i
\(326\) −8.62314 + 7.23567i −0.477592 + 0.400747i
\(327\) −4.93242 + 1.79525i −0.272763 + 0.0992777i
\(328\) −6.84776 2.49238i −0.378104 0.137619i
\(329\) −1.93969 1.62760i −0.106939 0.0897322i
\(330\) 3.79813 6.57856i 0.209080 0.362138i
\(331\) −13.8327 23.9590i −0.760317 1.31691i −0.942687 0.333677i \(-0.891710\pi\)
0.182371 0.983230i \(-0.441623\pi\)
\(332\) 0.475900 2.69896i 0.0261184 0.148125i
\(333\) 4.54189 25.7583i 0.248894 1.41155i
\(334\) 2.71823 + 4.70810i 0.148735 + 0.257616i
\(335\) −3.37464 + 5.84504i −0.184376 + 0.319349i
\(336\) 2.75490 + 2.31164i 0.150292 + 0.126110i
\(337\) −16.7827 6.10841i −0.914212 0.332746i −0.158279 0.987394i \(-0.550594\pi\)
−0.755934 + 0.654648i \(0.772817\pi\)
\(338\) −8.07057 + 2.93745i −0.438981 + 0.159776i
\(339\) 39.0146 32.7371i 2.11898 1.77804i
\(340\) −0.0132037 0.0748822i −0.000716074 0.00406106i
\(341\) 15.8229 0.856861
\(342\) 30.6386 + 5.17015i 1.65675 + 0.279569i
\(343\) −4.82026 −0.260270
\(344\) 1.99432 + 11.3103i 0.107526 + 0.609813i
\(345\) 5.22668 4.38571i 0.281395 0.236119i
\(346\) −25.5030 + 9.28233i −1.37105 + 0.499021i
\(347\) 5.45084 + 1.98394i 0.292616 + 0.106504i 0.484157 0.874981i \(-0.339126\pi\)
−0.191541 + 0.981485i \(0.561348\pi\)
\(348\) −2.80406 2.35289i −0.150314 0.126128i
\(349\) −2.68614 + 4.65253i −0.143786 + 0.249044i −0.928919 0.370282i \(-0.879261\pi\)
0.785134 + 0.619326i \(0.212594\pi\)
\(350\) −0.988856 1.71275i −0.0528566 0.0915502i
\(351\) −2.94831 + 16.7207i −0.157369 + 0.892485i
\(352\) 0.402856 2.28471i 0.0214723 0.121775i
\(353\) 12.6172 + 21.8537i 0.671546 + 1.16315i 0.977466 + 0.211095i \(0.0677029\pi\)
−0.305919 + 0.952057i \(0.598964\pi\)
\(354\) 12.2306 21.1839i 0.650047 1.12591i
\(355\) −6.26857 5.25996i −0.332701 0.279169i
\(356\) −1.78699 0.650411i −0.0947102 0.0344717i
\(357\) 0.439693 0.160035i 0.0232710 0.00846995i
\(358\) 11.8819 9.97011i 0.627979 0.526937i
\(359\) 1.16116 + 6.58526i 0.0612837 + 0.347557i 0.999996 + 0.00285518i \(0.000908833\pi\)
−0.938712 + 0.344702i \(0.887980\pi\)
\(360\) 13.6955 0.721818
\(361\) 17.9479 + 6.23481i 0.944626 + 0.328148i
\(362\) −11.5021 −0.604535
\(363\) 3.02094 + 17.1326i 0.158558 + 0.899230i
\(364\) −0.126545 + 0.106183i −0.00663274 + 0.00556553i
\(365\) −1.14796 + 0.417822i −0.0600868 + 0.0218698i
\(366\) −33.2768 12.1118i −1.73941 0.633092i
\(367\) 6.21941 + 5.21870i 0.324650 + 0.272414i 0.790516 0.612441i \(-0.209812\pi\)
−0.465865 + 0.884856i \(0.654257\pi\)
\(368\) −4.84524 + 8.39220i −0.252575 + 0.437473i
\(369\) −6.54916 11.3435i −0.340936 0.590518i
\(370\) −1.01707 + 5.76811i −0.0528752 + 0.299870i
\(371\) −0.171122 + 0.970481i −0.00888421 + 0.0503849i
\(372\) 1.89053 + 3.27449i 0.0980194 + 0.169775i
\(373\) −17.4488 + 30.2222i −0.903463 + 1.56484i −0.0804968 + 0.996755i \(0.525651\pi\)
−0.822967 + 0.568090i \(0.807683\pi\)
\(374\) 1.07532 + 0.902302i 0.0556036 + 0.0466569i
\(375\) −21.9538 7.99054i −1.13369 0.412630i
\(376\) 20.1668 7.34013i 1.04003 0.378538i
\(377\) −13.5646 + 11.3821i −0.698615 + 0.586207i
\(378\) 0.535959 + 3.03958i 0.0275668 + 0.156339i
\(379\) 1.70140 0.0873950 0.0436975 0.999045i \(-0.486086\pi\)
0.0436975 + 0.999045i \(0.486086\pi\)
\(380\) 0.698463 + 0.117863i 0.0358304 + 0.00604624i
\(381\) −33.4124 −1.71177
\(382\) −4.28968 24.3280i −0.219479 1.24473i
\(383\) 2.24969 1.88771i 0.114954 0.0964575i −0.583499 0.812114i \(-0.698317\pi\)
0.698453 + 0.715656i \(0.253872\pi\)
\(384\) −25.6989 + 9.35365i −1.31144 + 0.477326i
\(385\) 0.639033 + 0.232589i 0.0325681 + 0.0118538i
\(386\) −0.307218 0.257787i −0.0156370 0.0131210i
\(387\) −10.3216 + 17.8775i −0.524677 + 0.908767i
\(388\) 0.873455 + 1.51287i 0.0443430 + 0.0768043i
\(389\) −4.26604 + 24.1939i −0.216297 + 1.22668i 0.662344 + 0.749199i \(0.269562\pi\)
−0.878642 + 0.477482i \(0.841550\pi\)
\(390\) 1.52481 8.64766i 0.0772120 0.437891i
\(391\) 0.630415 + 1.09191i 0.0318815 + 0.0552203i
\(392\) 10.1250 17.5369i 0.511387 0.885749i
\(393\) −4.07011 3.41523i −0.205310 0.172275i
\(394\) 16.6373 + 6.05547i 0.838174 + 0.305070i
\(395\) 9.78833 3.56266i 0.492504 0.179257i
\(396\) 1.66772 1.39938i 0.0838060 0.0703216i
\(397\) −5.52822 31.3521i −0.277453 1.57352i −0.731059 0.682314i \(-0.760974\pi\)
0.453606 0.891202i \(-0.350137\pi\)
\(398\) 0.345866 0.0173367
\(399\) 0.0320889 + 4.35878i 0.00160645 + 0.218212i
\(400\) 15.2003 0.760014
\(401\) −0.0150147 0.0851529i −0.000749801 0.00425233i 0.984431 0.175774i \(-0.0562428\pi\)
−0.985180 + 0.171522i \(0.945132\pi\)
\(402\) 22.8084 19.1385i 1.13758 0.954543i
\(403\) 17.1878 6.25584i 0.856185 0.311626i
\(404\) −1.60607 0.584561i −0.0799048 0.0290830i
\(405\) 2.10220 + 1.76395i 0.104459 + 0.0876515i
\(406\) −1.60947 + 2.78768i −0.0798767 + 0.138350i
\(407\) 5.50387 + 9.53298i 0.272817 + 0.472532i
\(408\) −0.688663 + 3.90560i −0.0340939 + 0.193356i
\(409\) 3.47400 19.7021i 0.171778 0.974204i −0.770019 0.638021i \(-0.779753\pi\)
0.941797 0.336182i \(-0.109136\pi\)
\(410\) 1.46657 + 2.54017i 0.0724286 + 0.125450i
\(411\) 0.368241 0.637812i 0.0181640 0.0314609i
\(412\) 0.779963 + 0.654467i 0.0384260 + 0.0322433i
\(413\) 2.05778 + 0.748971i 0.101257 + 0.0368545i
\(414\) −18.0496 + 6.56953i −0.887091 + 0.322875i
\(415\) −9.99067 + 8.38316i −0.490423 + 0.411513i
\(416\) −0.465690 2.64106i −0.0228323 0.129488i
\(417\) −12.2763 −0.601174
\(418\) −11.2763 + 6.62154i −0.551542 + 0.323870i
\(419\) 25.4097 1.24135 0.620673 0.784070i \(-0.286859\pi\)
0.620673 + 0.784070i \(0.286859\pi\)
\(420\) 0.0282185 + 0.160035i 0.00137692 + 0.00780891i
\(421\) 3.34730 2.80872i 0.163137 0.136888i −0.557565 0.830134i \(-0.688264\pi\)
0.720702 + 0.693245i \(0.243820\pi\)
\(422\) 3.09967 1.12819i 0.150890 0.0549193i
\(423\) 36.2486 + 13.1934i 1.76247 + 0.641485i
\(424\) −6.39827 5.36879i −0.310727 0.260731i
\(425\) 0.988856 1.71275i 0.0479665 0.0830805i
\(426\) 18.0496 + 31.2629i 0.874507 + 1.51469i
\(427\) 0.550507 3.12208i 0.0266409 0.151088i
\(428\) −0.328411 + 1.86251i −0.0158744 + 0.0900279i
\(429\) −8.25150 14.2920i −0.398386 0.690025i
\(430\) 2.31134 4.00335i 0.111463 0.193059i
\(431\) −29.3444 24.6228i −1.41347 1.18604i −0.954732 0.297468i \(-0.903858\pi\)
−0.458736 0.888572i \(-0.651698\pi\)
\(432\) −22.2913 8.11338i −1.07249 0.390355i
\(433\) 17.0376 6.20118i 0.818775 0.298010i 0.101532 0.994832i \(-0.467626\pi\)
0.717244 + 0.696823i \(0.245403\pi\)
\(434\) 2.54710 2.13727i 0.122265 0.102592i
\(435\) 3.02481 + 17.1546i 0.145029 + 0.822499i
\(436\) 0.336867 0.0161330
\(437\) −11.5517 + 2.12467i −0.552592 + 0.101637i
\(438\) 5.38919 0.257505
\(439\) −1.05762 5.99806i −0.0504774 0.286272i 0.949112 0.314940i \(-0.101984\pi\)
−0.999589 + 0.0286685i \(0.990873\pi\)
\(440\) −4.41534 + 3.70491i −0.210493 + 0.176625i
\(441\) 34.2028 12.4488i 1.62870 0.592800i
\(442\) 1.52481 + 0.554987i 0.0725280 + 0.0263981i
\(443\) −22.8995 19.2149i −1.08799 0.912928i −0.0914266 0.995812i \(-0.529143\pi\)
−0.996559 + 0.0828833i \(0.973587\pi\)
\(444\) −1.31521 + 2.27801i −0.0624170 + 0.108109i
\(445\) 4.52481 + 7.83721i 0.214497 + 0.371519i
\(446\) 1.99092 11.2910i 0.0942726 0.534646i
\(447\) −8.27972 + 46.9566i −0.391617 + 2.22097i
\(448\) −1.49273 2.58548i −0.0705247 0.122152i
\(449\) 5.62495 9.74270i 0.265458 0.459787i −0.702226 0.711955i \(-0.747810\pi\)
0.967683 + 0.252168i \(0.0811435\pi\)
\(450\) 23.0804 + 19.3667i 1.08802 + 0.912957i
\(451\) 5.18004 + 1.88538i 0.243919 + 0.0887792i
\(452\) −3.07145 + 1.11792i −0.144469 + 0.0525824i
\(453\) 9.62108 8.07305i 0.452038 0.379305i
\(454\) 3.31062 + 18.7755i 0.155375 + 0.881176i
\(455\) 0.786112 0.0368535
\(456\) −32.1300 18.2362i −1.50463 0.853989i
\(457\) −23.3901 −1.09414 −0.547072 0.837086i \(-0.684258\pi\)
−0.547072 + 0.837086i \(0.684258\pi\)
\(458\) 4.80381 + 27.2438i 0.224468 + 1.27302i
\(459\) −2.36437 + 1.98394i −0.110359 + 0.0926025i
\(460\) −0.411474 + 0.149764i −0.0191851 + 0.00698280i
\(461\) 34.4149 + 12.5260i 1.60286 + 0.583395i 0.980011 0.198945i \(-0.0637514\pi\)
0.622853 + 0.782339i \(0.285974\pi\)
\(462\) −2.29813 1.92836i −0.106919 0.0897156i
\(463\) 21.4932 37.2273i 0.998873 1.73010i 0.458340 0.888777i \(-0.348444\pi\)
0.540534 0.841322i \(-0.318222\pi\)
\(464\) −12.3701 21.4256i −0.574265 0.994657i
\(465\) 3.12449 17.7198i 0.144895 0.821738i
\(466\) −4.12954 + 23.4198i −0.191297 + 1.08490i
\(467\) −12.7981 22.1670i −0.592227 1.02577i −0.993932 0.109998i \(-0.964916\pi\)
0.401705 0.915769i \(-0.368418\pi\)
\(468\) 1.25830 2.17945i 0.0581651 0.100745i
\(469\) 2.04189 + 1.71335i 0.0942857 + 0.0791151i
\(470\) −8.11721 2.95442i −0.374419 0.136277i
\(471\) −26.0253 + 9.47243i −1.19918 + 0.436466i
\(472\) −14.2181 + 11.9304i −0.654439 + 0.549140i
\(473\) −1.50862 8.55580i −0.0693663 0.393396i
\(474\) −45.9522 −2.11066
\(475\) 11.9461 + 14.0258i 0.548124 + 0.643548i
\(476\) −0.0300295 −0.00137640
\(477\) −2.60694 14.7847i −0.119364 0.676946i
\(478\) −2.42783 + 2.03719i −0.111046 + 0.0931791i
\(479\) −35.8739 + 13.0570i −1.63912 + 0.596591i −0.986885 0.161424i \(-0.948391\pi\)
−0.652236 + 0.758016i \(0.726169\pi\)
\(480\) −2.47906 0.902302i −0.113153 0.0411843i
\(481\) 9.74763 + 8.17923i 0.444453 + 0.372941i
\(482\) 9.29679 16.1025i 0.423457 0.733449i
\(483\) −1.34730 2.33359i −0.0613041 0.106182i
\(484\) 0.193877 1.09953i 0.00881261 0.0499788i
\(485\) 1.44356 8.18685i 0.0655488 0.371746i
\(486\) 7.27766 + 12.6053i 0.330121 + 0.571787i
\(487\) −3.88191 + 6.72367i −0.175906 + 0.304678i −0.940475 0.339864i \(-0.889619\pi\)
0.764568 + 0.644543i \(0.222952\pi\)
\(488\) 20.5835 + 17.2716i 0.931773 + 0.781850i
\(489\) 22.6065 + 8.22811i 1.02230 + 0.372088i
\(490\) −7.65910 + 2.78768i −0.346003 + 0.125935i
\(491\) −28.1313 + 23.6050i −1.26955 + 1.06528i −0.274954 + 0.961457i \(0.588663\pi\)
−0.994596 + 0.103822i \(0.966893\pi\)
\(492\) 0.228741 + 1.29725i 0.0103124 + 0.0584848i
\(493\) −3.21894 −0.144974
\(494\) −9.63104 + 11.6510i −0.433321 + 0.524201i
\(495\) −10.3601 −0.465651
\(496\) 4.43763 + 25.1671i 0.199256 + 1.13003i
\(497\) −2.47565 + 2.07732i −0.111048 + 0.0931805i
\(498\) 54.0642 19.6778i 2.42268 0.881782i
\(499\) −4.62923 1.68490i −0.207233 0.0754266i 0.236318 0.971676i \(-0.424059\pi\)
−0.443551 + 0.896249i \(0.646281\pi\)
\(500\) 1.14858 + 0.963777i 0.0513663 + 0.0431014i
\(501\) 5.80928 10.0620i 0.259539 0.449535i
\(502\) −2.80587 4.85992i −0.125232 0.216909i
\(503\) 5.72163 32.4490i 0.255115 1.44683i −0.540663 0.841239i \(-0.681827\pi\)
0.795778 0.605589i \(-0.207062\pi\)
\(504\) 0.939226 5.32661i 0.0418364 0.237266i
\(505\) 4.06670 + 7.04374i 0.180966 + 0.313442i
\(506\) 4.04189 7.00076i 0.179684 0.311222i
\(507\) 14.0608 + 11.7984i 0.624461 + 0.523985i
\(508\) 2.01501 + 0.733405i 0.0894018 + 0.0325396i
\(509\) 34.7075 12.6325i 1.53839 0.559926i 0.572728 0.819746i \(-0.305885\pi\)
0.965657 + 0.259819i \(0.0836630\pi\)
\(510\) 1.22281 1.02606i 0.0541470 0.0454347i
\(511\) 0.0837781 + 0.475129i 0.00370613 + 0.0210185i
\(512\) 24.9186 1.10126
\(513\) −10.0326 26.9453i −0.442948 1.18967i
\(514\) −0.898986 −0.0396526
\(515\) −0.841367 4.77163i −0.0370750 0.210263i
\(516\) 1.59034 1.33445i 0.0700107 0.0587459i
\(517\) −15.2554 + 5.55250i −0.670930 + 0.244199i
\(518\) 2.17365 + 0.791143i 0.0955046 + 0.0347608i
\(519\) 44.4320 + 37.2829i 1.95035 + 1.63654i
\(520\) −3.33140 + 5.77016i −0.146092 + 0.253038i
\(521\) −4.64590 8.04693i −0.203540 0.352542i 0.746126 0.665804i \(-0.231912\pi\)
−0.949667 + 0.313262i \(0.898578\pi\)
\(522\) 8.51548 48.2937i 0.372713 2.11376i
\(523\) −4.93423 + 27.9834i −0.215759 + 1.22363i 0.663826 + 0.747887i \(0.268932\pi\)
−0.879585 + 0.475742i \(0.842180\pi\)
\(524\) 0.170493 + 0.295303i 0.00744802 + 0.0129004i
\(525\) −2.11334 + 3.66041i −0.0922338 + 0.159754i
\(526\) −11.7654 9.87236i −0.512996 0.430455i
\(527\) 3.12449 + 1.13722i 0.136105 + 0.0495381i
\(528\) 21.6668 7.88609i 0.942928 0.343198i
\(529\) −12.0569 + 10.1169i −0.524213 + 0.439867i
\(530\) 0.583778 + 3.31077i 0.0253577 + 0.143811i
\(531\) −33.3610 −1.44775
\(532\) 0.0937404 0.263571i 0.00406416 0.0114273i
\(533\) 6.37227 0.276014
\(534\) −6.93242 39.3157i −0.299995 1.70136i
\(535\) 6.89440 5.78509i 0.298071 0.250111i
\(536\) −21.2294 + 7.72686i −0.916969 + 0.333749i
\(537\) −31.1498 11.3376i −1.34421 0.489253i
\(538\) −20.0123 16.7923i −0.862793 0.723969i
\(539\) −7.65910 + 13.2660i −0.329901 + 0.571405i
\(540\) −0.535959 0.928309i −0.0230640 0.0399480i
\(541\) 2.60220 14.7578i 0.111877 0.634487i −0.876372 0.481635i \(-0.840043\pi\)
0.988249 0.152852i \(-0.0488458\pi\)
\(542\) 3.13366 17.7718i 0.134602 0.763366i
\(543\) 12.2909 + 21.2884i 0.527451 + 0.913572i
\(544\) 0.243756 0.422197i 0.0104509 0.0181016i
\(545\) −1.22803 1.03044i −0.0526028 0.0441390i
\(546\) −3.25877 1.18610i −0.139463 0.0507602i
\(547\) 3.65270 1.32948i 0.156178 0.0568443i −0.262748 0.964864i \(-0.584629\pi\)
0.418926 + 0.908020i \(0.362407\pi\)
\(548\) −0.0362077 + 0.0303818i −0.00154672 + 0.00129785i
\(549\) 8.38666 + 47.5631i 0.357934 + 2.02994i
\(550\) −12.6800 −0.540679
\(551\) 10.0483 28.2529i 0.428071 1.20361i
\(552\) 22.8384 0.972068
\(553\) −0.714355 4.05131i −0.0303775 0.172279i
\(554\) −18.3164 + 15.3693i −0.778189 + 0.652978i
\(555\) 11.7626 4.28125i 0.499296 0.181729i
\(556\) 0.740352 + 0.269466i 0.0313979 + 0.0114279i
\(557\) 10.1152 + 8.48762i 0.428593 + 0.359632i 0.831420 0.555644i \(-0.187528\pi\)
−0.402828 + 0.915276i \(0.631973\pi\)
\(558\) −25.3273 + 43.8681i −1.07219 + 1.85709i
\(559\) −5.02141 8.69734i −0.212383 0.367858i
\(560\) −0.190722 + 1.08164i −0.00805949 + 0.0457076i
\(561\) 0.520945 2.95442i 0.0219943 0.124736i
\(562\) 12.3136 + 21.3278i 0.519418 + 0.899659i
\(563\) −5.35638 + 9.27752i −0.225745 + 0.391001i −0.956543 0.291593i \(-0.905815\pi\)
0.730798 + 0.682594i \(0.239148\pi\)
\(564\) −2.97178 2.49362i −0.125135 0.105000i
\(565\) 14.6163 + 5.31991i 0.614914 + 0.223810i
\(566\) 9.73308 3.54255i 0.409112 0.148905i
\(567\) 0.830222 0.696639i 0.0348661 0.0292561i
\(568\) −4.75641 26.9749i −0.199574 1.13184i
\(569\) −13.4706 −0.564717 −0.282358 0.959309i \(-0.591117\pi\)
−0.282358 + 0.959309i \(0.591117\pi\)
\(570\) 5.18866 + 13.9357i 0.217329 + 0.583701i
\(571\) 12.6655 0.530035 0.265017 0.964244i \(-0.414622\pi\)
0.265017 + 0.964244i \(0.414622\pi\)
\(572\) 0.183915 + 1.04303i 0.00768988 + 0.0436115i
\(573\) −40.4432 + 33.9358i −1.68954 + 1.41769i
\(574\) 1.08853 0.396191i 0.0454342 0.0165367i
\(575\) −10.7023 3.89533i −0.446318 0.162447i
\(576\) 34.8410 + 29.2350i 1.45171 + 1.21813i
\(577\) 5.27719 9.14036i 0.219692 0.380518i −0.735022 0.678044i \(-0.762828\pi\)
0.954714 + 0.297526i \(0.0961613\pi\)
\(578\) −11.3045 19.5800i −0.470206 0.814421i
\(579\) −0.148833 + 0.844075i −0.00618530 + 0.0350786i
\(580\) 0.194126 1.10094i 0.00806064 0.0457142i
\(581\) 2.57532 + 4.46059i 0.106842 + 0.185056i
\(582\) −18.3366 + 31.7600i −0.760077 + 1.31649i
\(583\) 4.84002 + 4.06126i 0.200453 + 0.168200i
\(584\) −3.84255 1.39857i −0.159006 0.0578734i
\(585\) −11.2537 + 4.09602i −0.465284 + 0.169350i
\(586\) 10.8400 9.09586i 0.447797 0.375746i
\(587\) −3.32619 18.8638i −0.137287 0.778591i −0.973240 0.229791i \(-0.926196\pi\)
0.835954 0.548800i \(-0.184915\pi\)
\(588\) −3.66044 −0.150954
\(589\) −19.7349 + 23.8739i −0.813162 + 0.983706i
\(590\) 7.47060 0.307560
\(591\) −6.57057 37.2636i −0.270277 1.53282i
\(592\) −13.6190 + 11.4277i −0.559738 + 0.469676i
\(593\) 8.17024 2.97373i 0.335512 0.122116i −0.168770 0.985655i \(-0.553980\pi\)
0.504282 + 0.863539i \(0.331757\pi\)
\(594\) 18.5954 + 6.76817i 0.762978 + 0.277701i
\(595\) 0.109470 + 0.0918566i 0.00448785 + 0.00376575i
\(596\) 1.53003 2.65009i 0.0626724 0.108552i
\(597\) −0.369585 0.640140i −0.0151261 0.0261992i
\(598\) 1.62267 9.20264i 0.0663561 0.376324i
\(599\) 3.44373 19.5303i 0.140707 0.797988i −0.830008 0.557752i \(-0.811664\pi\)
0.970715 0.240236i \(-0.0772248\pi\)
\(600\) −17.9119 31.0244i −0.731252 1.26657i
\(601\) 16.8807 29.2383i 0.688579 1.19265i −0.283718 0.958908i \(-0.591568\pi\)
0.972298 0.233747i \(-0.0750986\pi\)
\(602\) −1.39852 1.17350i −0.0569994 0.0478282i
\(603\) −38.1584 13.8885i −1.55393 0.565584i
\(604\) −0.757426 + 0.275681i −0.0308192 + 0.0112173i
\(605\) −4.07011 + 3.41523i −0.165473 + 0.138849i
\(606\) −6.23055 35.3352i −0.253099 1.43540i
\(607\) 35.2850 1.43217 0.716087 0.698011i \(-0.245932\pi\)
0.716087 + 0.698011i \(0.245932\pi\)
\(608\) 2.94475 + 3.45740i 0.119425 + 0.140216i
\(609\) 6.87939 0.278767
\(610\) −1.87804 10.6509i −0.0760397 0.431242i
\(611\) −14.3760 + 12.0629i −0.581590 + 0.488012i
\(612\) 0.429892 0.156468i 0.0173774 0.00632485i
\(613\) −17.3405 6.31142i −0.700376 0.254916i −0.0328044 0.999462i \(-0.510444\pi\)
−0.667571 + 0.744546i \(0.732666\pi\)
\(614\) 12.0708 + 10.1286i 0.487139 + 0.408758i
\(615\) 3.13429 5.42874i 0.126387 0.218908i
\(616\) 1.13816 + 1.97134i 0.0458576 + 0.0794277i
\(617\) −6.19671 + 35.1433i −0.249470 + 1.41482i 0.560408 + 0.828217i \(0.310644\pi\)
−0.809878 + 0.586598i \(0.800467\pi\)
\(618\) −3.71167 + 21.0499i −0.149305 + 0.846752i
\(619\) −1.82976 3.16923i −0.0735441 0.127382i 0.826908 0.562337i \(-0.190098\pi\)
−0.900452 + 0.434955i \(0.856764\pi\)
\(620\) −0.577382 + 1.00005i −0.0231882 + 0.0401631i
\(621\) 13.6159 + 11.4251i 0.546386 + 0.458472i
\(622\) 20.2135 + 7.35710i 0.810487 + 0.294993i
\(623\) 3.35844 1.22237i 0.134553 0.0489733i
\(624\) 20.4179 17.1326i 0.817369 0.685854i
\(625\) 2.43077 + 13.7856i 0.0972308 + 0.551423i
\(626\) 35.8767 1.43392
\(627\) 24.3050 + 13.7949i 0.970648 + 0.550917i
\(628\) 1.77744 0.0709275
\(629\) 0.401674 + 2.27801i 0.0160158 + 0.0908301i
\(630\) −1.66772 + 1.39938i −0.0664435 + 0.0557527i
\(631\) 0.745977 0.271514i 0.0296969 0.0108088i −0.327129 0.944980i \(-0.606081\pi\)
0.356826 + 0.934171i \(0.383859\pi\)
\(632\) 32.7645 + 11.9253i 1.30330 + 0.474362i
\(633\) −5.40033 4.53141i −0.214644 0.180108i
\(634\) 19.8942 34.4578i 0.790101 1.36850i
\(635\) −5.10220 8.83726i −0.202474 0.350696i
\(636\) −0.262174 + 1.48686i −0.0103959 + 0.0589579i
\(637\) −3.07486 + 17.4384i −0.121830 + 0.690933i
\(638\) 10.3191 + 17.8732i 0.408536 + 0.707605i
\(639\) 24.6168 42.6375i 0.973826 1.68672i
\(640\) −6.39827 5.36879i −0.252914 0.212220i
\(641\) −27.6104 10.0494i −1.09055 0.396926i −0.266723 0.963773i \(-0.585941\pi\)
−0.823823 + 0.566847i \(0.808163\pi\)
\(642\) −37.3089 + 13.5793i −1.47246 + 0.535933i
\(643\) 17.0168 14.2788i 0.671078 0.563101i −0.242306 0.970200i \(-0.577904\pi\)
0.913384 + 0.407098i \(0.133459\pi\)
\(644\) 0.0300295 + 0.170306i 0.00118333 + 0.00671099i
\(645\) −9.87939 −0.389000
\(646\) −2.70258 + 0.497079i −0.106332 + 0.0195573i
\(647\) 11.2591 0.442640 0.221320 0.975201i \(-0.428963\pi\)
0.221320 + 0.975201i \(0.428963\pi\)
\(648\) 1.59508 + 9.04617i 0.0626608 + 0.355367i
\(649\) 10.7554 9.02482i 0.422185 0.354255i
\(650\) −13.7738 + 5.01325i −0.540252 + 0.196636i
\(651\) −6.67752 2.43042i −0.261713 0.0952556i
\(652\) −1.18273 0.992431i −0.0463194 0.0388666i
\(653\) −13.5000 + 23.3827i −0.528296 + 0.915035i 0.471160 + 0.882048i \(0.343835\pi\)
−0.999456 + 0.0329874i \(0.989498\pi\)
\(654\) 3.53596 + 6.12446i 0.138267 + 0.239485i
\(655\) 0.281774 1.59802i 0.0110098 0.0624399i
\(656\) −1.54601 + 8.76785i −0.0603615 + 0.342327i
\(657\) −3.67499 6.36527i −0.143375 0.248333i
\(658\) −1.70574 + 2.95442i −0.0664966 + 0.115175i
\(659\) 21.4691 + 18.0147i 0.836317 + 0.701753i 0.956732 0.290970i \(-0.0939781\pi\)
−0.120415 + 0.992724i \(0.538423\pi\)
\(660\) 0.979055 + 0.356347i 0.0381097 + 0.0138708i
\(661\) −10.6823 + 3.88803i −0.415492 + 0.151227i −0.541303 0.840827i \(-0.682069\pi\)
0.125811 + 0.992054i \(0.459847\pi\)
\(662\) −28.5533 + 23.9590i −1.10975 + 0.931194i
\(663\) −0.602196 3.41523i −0.0233874 0.132636i
\(664\) −43.6551 −1.69415
\(665\) −1.14796 + 0.674089i −0.0445158 + 0.0261400i
\(666\) −35.2395 −1.36550
\(667\) 3.21894 + 18.2555i 0.124638 + 0.706857i
\(668\) −0.571203 + 0.479297i −0.0221005 + 0.0185445i
\(669\) −23.0253 + 8.38052i −0.890209 + 0.324010i
\(670\) 8.54488 + 3.11008i 0.330118 + 0.120153i
\(671\) −15.5706 13.0653i −0.601095 0.504379i
\(672\) −0.520945 + 0.902302i −0.0200959 + 0.0348071i
\(673\) 8.28359 + 14.3476i 0.319309 + 0.553059i 0.980344 0.197296i \(-0.0632160\pi\)
−0.661035 + 0.750355i \(0.729883\pi\)
\(674\) −4.17840 + 23.6969i −0.160946 + 0.912769i
\(675\) 4.84137 27.4568i 0.186344 1.05681i
\(676\) −0.588993 1.02017i −0.0226536 0.0392371i
\(677\) 4.52481 7.83721i 0.173903 0.301208i −0.765878 0.642986i \(-0.777695\pi\)
0.939781 + 0.341777i \(0.111029\pi\)
\(678\) −52.5642 44.1066i −2.01872 1.69390i
\(679\) −3.08512 1.12289i −0.118396 0.0430927i
\(680\) −1.13816 + 0.414255i −0.0436463 + 0.0158859i
\(681\) 31.2126 26.1905i 1.19607 1.00362i
\(682\) −3.70187 20.9943i −0.141752 0.803914i
\(683\) 8.73143 0.334099 0.167049 0.985949i \(-0.446576\pi\)
0.167049 + 0.985949i \(0.446576\pi\)
\(684\) 0.0313737 + 4.26163i 0.00119960 + 0.162947i
\(685\) 0.224927 0.00859402
\(686\) 1.12773 + 6.39566i 0.0430568 + 0.244187i
\(687\) 45.2904 38.0032i 1.72794 1.44991i
\(688\) 13.1853 4.79904i 0.502683 0.182962i
\(689\) 6.86319 + 2.49800i 0.261467 + 0.0951661i
\(690\) −7.04189 5.90885i −0.268080 0.224946i
\(691\) −17.3601 + 30.0686i −0.660409 + 1.14386i 0.320099 + 0.947384i \(0.396284\pi\)
−0.980508 + 0.196478i \(0.937050\pi\)
\(692\) −1.86122 3.22372i −0.0707528 0.122547i
\(693\) −0.710485 + 4.02936i −0.0269891 + 0.153063i
\(694\) 1.35710 7.69648i 0.0515147 0.292154i
\(695\) −1.87464 3.24697i −0.0711091 0.123164i
\(696\) −29.1536 + 50.4956i −1.10507 + 1.91403i
\(697\) 0.887374 + 0.744596i 0.0336117 + 0.0282036i
\(698\) 6.80154 + 2.47556i 0.257442 + 0.0937012i
\(699\) 47.7588 17.3828i 1.80640 0.657478i
\(700\) 0.207796 0.174362i 0.00785397 0.00659026i
\(701\) 6.84436 + 38.8163i 0.258508 + 1.46607i 0.786905 + 0.617074i \(0.211682\pi\)
−0.528397 + 0.848997i \(0.677207\pi\)
\(702\) 22.8753 0.863371
\(703\) −21.2481 3.58553i −0.801387 0.135231i
\(704\) −19.1411 −0.721409
\(705\) 3.20574 + 18.1806i 0.120735 + 0.684722i
\(706\) 26.0442 21.8537i 0.980185 0.822473i
\(707\) 3.01842 1.09861i 0.113519 0.0413176i
\(708\) 3.15270 + 1.14749i 0.118486 + 0.0431253i
\(709\) −31.5009 26.4324i −1.18304 0.992690i −0.999954 0.00959399i \(-0.996946\pi\)
−0.183088 0.983096i \(-0.558609\pi\)
\(710\) −5.51249 + 9.54791i −0.206880 + 0.358327i
\(711\) 31.3357 + 54.2751i 1.17518 + 2.03548i
\(712\) −5.26011 + 29.8316i −0.197131 + 1.11799i
\(713\) 3.32501 18.8571i 0.124523 0.706202i
\(714\) −0.315207 0.545955i −0.0117963 0.0204319i
\(715\) 2.52007 4.36488i 0.0942452 0.163237i
\(716\) 1.62970 + 1.36748i 0.0609047 + 0.0511051i
\(717\) 6.36484 + 2.31661i 0.237699 + 0.0865154i
\(718\) 8.46585 3.08132i 0.315943 0.114994i
\(719\) −32.4768 + 27.2513i −1.21118 + 1.01630i −0.211943 + 0.977282i \(0.567979\pi\)
−0.999238 + 0.0390200i \(0.987576\pi\)
\(720\) −2.90554 16.4782i −0.108283 0.614105i
\(721\) −1.91353 −0.0712637
\(722\) 4.07351 25.2724i 0.151600 0.940543i
\(723\) −39.7374 −1.47785
\(724\) −0.273947 1.55363i −0.0101812 0.0577403i
\(725\) 22.2743 18.6903i 0.827245 0.694141i
\(726\) 22.0253 8.01655i 0.817435 0.297522i
\(727\) −48.5411 17.6675i −1.80029 0.655251i −0.998324 0.0578805i \(-0.981566\pi\)
−0.801965 0.597371i \(-0.796212\pi\)
\(728\) 2.01573 + 1.69140i 0.0747079 + 0.0626874i
\(729\) 20.2344 35.0470i 0.749423 1.29804i
\(730\) 0.822948 + 1.42539i 0.0304587 + 0.0527560i
\(731\) 0.317018 1.79790i 0.0117254 0.0664978i
\(732\) 0.843426 4.78331i 0.0311739 0.176796i
\(733\) 11.4581 + 19.8460i 0.423215 + 0.733030i 0.996252 0.0864997i \(-0.0275682\pi\)
−0.573037 + 0.819530i \(0.694235\pi\)
\(734\) 5.46926 9.47303i 0.201874 0.349656i
\(735\) 13.3439 + 11.1969i 0.492197 + 0.413002i
\(736\) −2.63816 0.960210i −0.0972437 0.0353938i
\(737\) 16.0591 5.84504i 0.591545 0.215305i
\(738\) −13.5186 + 11.3435i −0.497628 + 0.417559i
\(739\) 4.88413 + 27.6993i 0.179666 + 1.01894i 0.932619 + 0.360862i \(0.117517\pi\)
−0.752954 + 0.658074i \(0.771372\pi\)
\(740\) −0.803348 −0.0295317
\(741\) 31.8555 + 5.37549i 1.17024 + 0.197474i
\(742\) 1.32770 0.0487413
\(743\) 1.06489 + 6.03931i 0.0390671 + 0.221561i 0.998091 0.0617657i \(-0.0196731\pi\)
−0.959024 + 0.283326i \(0.908562\pi\)
\(744\) 46.1377 38.7142i 1.69149 1.41933i
\(745\) −13.6839 + 4.98054i −0.501340 + 0.182473i
\(746\) 44.1819 + 16.0809i 1.61761 + 0.588763i
\(747\) −60.1093 50.4377i −2.19928 1.84542i
\(748\) −0.0962667 + 0.166739i −0.00351986 + 0.00609657i
\(749\) −1.77719 3.07818i −0.0649371 0.112474i
\(750\) −5.46585 + 30.9984i −0.199585 + 1.13190i
\(751\) 0.979522 5.55515i 0.0357433 0.202710i −0.961707 0.274081i \(-0.911626\pi\)
0.997450 + 0.0713710i \(0.0227374\pi\)
\(752\) −13.1099 22.7071i −0.478070 0.828042i
\(753\) −5.99660 + 10.3864i −0.218528 + 0.378502i
\(754\) 18.2756 + 15.3350i 0.665558 + 0.558469i
\(755\) 3.60442 + 1.31190i 0.131178 + 0.0477450i
\(756\) −0.397804 + 0.144789i −0.0144680 + 0.00526591i
\(757\) 12.0207 10.0866i 0.436900 0.366602i −0.397648 0.917538i \(-0.630173\pi\)
0.834548 + 0.550936i \(0.185729\pi\)
\(758\) −0.398052 2.25746i −0.0144579 0.0819948i
\(759\) −17.2763 −0.627090
\(760\) −0.0830629 11.2828i −0.00301301 0.409271i
\(761\) 4.86484 0.176350 0.0881751 0.996105i \(-0.471896\pi\)
0.0881751 + 0.996105i \(0.471896\pi\)
\(762\) 7.81702 + 44.3325i 0.283181 + 1.60600i
\(763\) −0.484985 + 0.406951i −0.0175576 + 0.0147326i
\(764\) 3.18392 1.15885i 0.115190 0.0419257i
\(765\) −2.04576 0.744596i −0.0739646 0.0269209i
\(766\) −3.03099 2.54331i −0.109514 0.0918934i
\(767\) 8.11499 14.0556i 0.293015 0.507517i
\(768\) −6.32888 10.9619i −0.228374 0.395555i
\(769\) 3.91266 22.1898i 0.141094 0.800184i −0.829327 0.558764i