Properties

Label 392.2.z.a.109.33
Level $392$
Weight $2$
Character 392.109
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 109.33
Character \(\chi\) \(=\) 392.109
Dual form 392.2.z.a.205.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.429820 + 1.34731i) q^{2} +(-0.197978 - 1.31349i) q^{3} +(-1.63051 + 1.15820i) q^{4} +(-0.400186 - 0.157061i) q^{5} +(1.68460 - 0.831304i) q^{6} +(2.29348 - 1.31907i) q^{7} +(-2.26129 - 1.69899i) q^{8} +(1.18064 - 0.364181i) q^{9} +O(q^{10})\) \(q+(0.429820 + 1.34731i) q^{2} +(-0.197978 - 1.31349i) q^{3} +(-1.63051 + 1.15820i) q^{4} +(-0.400186 - 0.157061i) q^{5} +(1.68460 - 0.831304i) q^{6} +(2.29348 - 1.31907i) q^{7} +(-2.26129 - 1.69899i) q^{8} +(1.18064 - 0.364181i) q^{9} +(0.0396032 - 0.606684i) q^{10} +(-1.11866 + 3.62661i) q^{11} +(1.84410 + 1.91237i) q^{12} +(3.49195 - 0.797016i) q^{13} +(2.76299 + 2.52307i) q^{14} +(-0.127072 + 0.556737i) q^{15} +(1.31713 - 3.77693i) q^{16} +(4.88123 - 3.32797i) q^{17} +(0.998130 + 1.43417i) q^{18} +(1.60836 - 0.928587i) q^{19} +(0.834417 - 0.207407i) q^{20} +(-2.18665 - 2.75133i) q^{21} +(-5.36701 + 0.0516011i) q^{22} +(6.85261 + 4.67203i) q^{23} +(-1.78393 + 3.30656i) q^{24} +(-3.52978 - 3.27516i) q^{25} +(2.57474 + 4.36219i) q^{26} +(-2.44111 - 5.06903i) q^{27} +(-2.21178 + 4.80708i) q^{28} +(-1.43164 + 2.97283i) q^{29} +(-0.804718 + 0.0680913i) q^{30} +(-3.59829 + 6.23242i) q^{31} +(5.65483 + 0.151183i) q^{32} +(4.98500 + 0.751369i) q^{33} +(6.58187 + 5.14613i) q^{34} +(-1.12499 + 0.167657i) q^{35} +(-1.50326 + 1.96123i) q^{36} +(-0.975748 + 0.0731222i) q^{37} +(1.94240 + 1.76784i) q^{38} +(-1.73820 - 4.42887i) q^{39} +(0.638091 + 1.03507i) q^{40} +(-1.32567 - 1.66234i) q^{41} +(2.76703 - 4.12868i) q^{42} +(-5.52298 - 4.40443i) q^{43} +(-2.37637 - 7.20886i) q^{44} +(-0.529676 - 0.0396937i) q^{45} +(-3.34931 + 11.2408i) q^{46} +(-1.01171 + 0.938733i) q^{47} +(-5.22174 - 0.982291i) q^{48} +(3.52009 - 6.05053i) q^{49} +(2.89549 - 6.16345i) q^{50} +(-5.33764 - 5.75261i) q^{51} +(-4.77056 + 5.34394i) q^{52} +(2.59340 + 0.194349i) q^{53} +(5.78033 - 5.46772i) q^{54} +(1.01727 - 1.27562i) q^{55} +(-7.42731 - 0.913790i) q^{56} +(-1.53811 - 1.92873i) q^{57} +(-4.62068 - 0.651087i) q^{58} +(-9.74555 + 3.82485i) q^{59} +(-0.437624 - 1.05494i) q^{60} +(9.85193 - 0.738300i) q^{61} +(-9.94364 - 2.16921i) q^{62} +(2.22740 - 2.39260i) q^{63} +(2.22687 + 7.68382i) q^{64} +(-1.52261 - 0.229497i) q^{65} +(1.13032 + 7.03932i) q^{66} +(-11.4770 - 6.62623i) q^{67} +(-4.10443 + 11.0798i) q^{68} +(4.78003 - 9.92583i) q^{69} +(-0.709432 - 1.44366i) q^{70} +(-13.6050 + 6.55184i) q^{71} +(-3.28852 - 1.18238i) q^{72} +(5.75662 + 5.34136i) q^{73} +(-0.517915 - 1.28321i) q^{74} +(-3.60308 + 5.28475i) q^{75} +(-1.54695 + 3.37688i) q^{76} +(2.21814 + 9.79315i) q^{77} +(5.21997 - 4.24553i) q^{78} +(-4.67982 - 8.10569i) q^{79} +(-1.12030 + 1.30460i) q^{80} +(-3.11231 + 2.12194i) q^{81} +(1.66989 - 2.50060i) q^{82} +(16.5284 + 3.77249i) q^{83} +(6.75196 + 1.95347i) q^{84} +(-2.47610 + 0.565153i) q^{85} +(3.56026 - 9.33429i) q^{86} +(4.18823 + 1.29190i) q^{87} +(8.69119 - 6.30023i) q^{88} +(-6.38494 + 1.96949i) q^{89} +(-0.174185 - 0.730701i) q^{90} +(6.95740 - 6.43408i) q^{91} +(-16.5844 + 0.318931i) q^{92} +(8.89863 + 3.49245i) q^{93} +(-1.69962 - 0.959610i) q^{94} +(-0.789489 + 0.118996i) q^{95} +(-0.920952 - 7.45753i) q^{96} -11.9331 q^{97} +(9.66497 + 2.14203i) q^{98} +4.68913i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} + O(q^{10}) \) \( 648q - 13q^{2} - 13q^{4} - 6q^{6} - 24q^{7} - 16q^{8} - 76q^{9} - 6q^{10} - 47q^{12} - 33q^{14} - 8q^{15} - 17q^{16} - 26q^{17} - 8q^{18} - 22q^{20} - 18q^{22} - 26q^{23} - 74q^{24} - 72q^{25} - 12q^{26} + 2q^{28} - 11q^{30} + 60q^{31} - 13q^{32} - 14q^{33} - 18q^{34} + 8q^{36} - 46q^{38} - 32q^{39} + 32q^{40} - 20q^{41} - 36q^{42} + 38q^{44} - 22q^{46} - 58q^{47} + 28q^{48} - 16q^{49} - 132q^{50} + 18q^{52} - 37q^{54} - 32q^{55} + 96q^{56} - 66q^{57} + 100q^{60} + 28q^{62} - 72q^{63} - 28q^{64} - 36q^{65} - 4q^{66} - 11q^{68} - 36q^{70} + 60q^{71} - 130q^{72} - 18q^{73} - 12q^{74} + 11q^{76} - 132q^{78} - 12q^{79} - 64q^{80} - 58q^{81} + 152q^{82} - 224q^{84} + 55q^{86} - 8q^{87} - 169q^{88} - 18q^{89} + 144q^{90} - 54q^{92} + 154q^{94} - 64q^{95} - 142q^{96} - 96q^{97} + 151q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.429820 + 1.34731i 0.303928 + 0.952695i
\(3\) −0.197978 1.31349i −0.114302 0.758347i −0.970395 0.241524i \(-0.922353\pi\)
0.856092 0.516823i \(-0.172885\pi\)
\(4\) −1.63051 + 1.15820i −0.815255 + 0.579102i
\(5\) −0.400186 0.157061i −0.178969 0.0702400i 0.274165 0.961683i \(-0.411599\pi\)
−0.453133 + 0.891443i \(0.649694\pi\)
\(6\) 1.68460 0.831304i 0.687733 0.339378i
\(7\) 2.29348 1.31907i 0.866854 0.498563i
\(8\) −2.26129 1.69899i −0.799487 0.600684i
\(9\) 1.18064 0.364181i 0.393548 0.121394i
\(10\) 0.0396032 0.606684i 0.0125236 0.191850i
\(11\) −1.11866 + 3.62661i −0.337289 + 1.09346i 0.615067 + 0.788475i \(0.289129\pi\)
−0.952356 + 0.304989i \(0.901347\pi\)
\(12\) 1.84410 + 1.91237i 0.532346 + 0.552053i
\(13\) 3.49195 0.797016i 0.968494 0.221052i 0.291116 0.956688i \(-0.405973\pi\)
0.677378 + 0.735635i \(0.263116\pi\)
\(14\) 2.76299 + 2.52307i 0.738440 + 0.674320i
\(15\) −0.127072 + 0.556737i −0.0328097 + 0.143749i
\(16\) 1.31713 3.77693i 0.329281 0.944232i
\(17\) 4.88123 3.32797i 1.18387 0.807151i 0.198927 0.980014i \(-0.436254\pi\)
0.984946 + 0.172863i \(0.0553019\pi\)
\(18\) 0.998130 + 1.43417i 0.235261 + 0.338036i
\(19\) 1.60836 0.928587i 0.368983 0.213033i −0.304031 0.952662i \(-0.598333\pi\)
0.673014 + 0.739630i \(0.264999\pi\)
\(20\) 0.834417 0.207407i 0.186581 0.0463776i
\(21\) −2.18665 2.75133i −0.477167 0.600389i
\(22\) −5.36701 + 0.0516011i −1.14425 + 0.0110014i
\(23\) 6.85261 + 4.67203i 1.42887 + 0.974186i 0.997400 + 0.0720579i \(0.0229566\pi\)
0.431468 + 0.902128i \(0.357996\pi\)
\(24\) −1.78393 + 3.30656i −0.364143 + 0.674948i
\(25\) −3.52978 3.27516i −0.705956 0.655031i
\(26\) 2.57474 + 4.36219i 0.504948 + 0.855495i
\(27\) −2.44111 5.06903i −0.469793 0.975535i
\(28\) −2.21178 + 4.80708i −0.417988 + 0.908453i
\(29\) −1.43164 + 2.97283i −0.265849 + 0.552041i −0.990571 0.137000i \(-0.956254\pi\)
0.724722 + 0.689041i \(0.241968\pi\)
\(30\) −0.804718 + 0.0680913i −0.146921 + 0.0124317i
\(31\) −3.59829 + 6.23242i −0.646272 + 1.11938i 0.337735 + 0.941241i \(0.390339\pi\)
−0.984006 + 0.178134i \(0.942994\pi\)
\(32\) 5.65483 + 0.151183i 0.999643 + 0.0267256i
\(33\) 4.98500 + 0.751369i 0.867778 + 0.130796i
\(34\) 6.58187 + 5.14613i 1.12878 + 0.882554i
\(35\) −1.12499 + 0.167657i −0.190159 + 0.0283393i
\(36\) −1.50326 + 1.96123i −0.250543 + 0.326871i
\(37\) −0.975748 + 0.0731222i −0.160412 + 0.0120212i −0.154694 0.987962i \(-0.549439\pi\)
−0.00571805 + 0.999984i \(0.501820\pi\)
\(38\) 1.94240 + 1.76784i 0.315100 + 0.286782i
\(39\) −1.73820 4.42887i −0.278336 0.709187i
\(40\) 0.638091 + 1.03507i 0.100891 + 0.163660i
\(41\) −1.32567 1.66234i −0.207035 0.259614i 0.667463 0.744643i \(-0.267380\pi\)
−0.874498 + 0.485029i \(0.838809\pi\)
\(42\) 2.76703 4.12868i 0.426963 0.637070i
\(43\) −5.52298 4.40443i −0.842246 0.671669i 0.104191 0.994557i \(-0.466775\pi\)
−0.946437 + 0.322889i \(0.895346\pi\)
\(44\) −2.37637 7.20886i −0.358251 1.08678i
\(45\) −0.529676 0.0396937i −0.0789595 0.00591719i
\(46\) −3.34931 + 11.2408i −0.493828 + 1.65736i
\(47\) −1.01171 + 0.938733i −0.147574 + 0.136928i −0.750505 0.660865i \(-0.770190\pi\)
0.602931 + 0.797793i \(0.293999\pi\)
\(48\) −5.22174 0.982291i −0.753693 0.141781i
\(49\) 3.52009 6.05053i 0.502870 0.864362i
\(50\) 2.89549 6.16345i 0.409485 0.871643i
\(51\) −5.33764 5.75261i −0.747420 0.805527i
\(52\) −4.77056 + 5.34394i −0.661558 + 0.741071i
\(53\) 2.59340 + 0.194349i 0.356231 + 0.0266958i 0.251644 0.967820i \(-0.419029\pi\)
0.104587 + 0.994516i \(0.466648\pi\)
\(54\) 5.78033 5.46772i 0.786603 0.744062i
\(55\) 1.01727 1.27562i 0.137169 0.172005i
\(56\) −7.42731 0.913790i −0.992517 0.122110i
\(57\) −1.53811 1.92873i −0.203728 0.255467i
\(58\) −4.62068 0.651087i −0.606725 0.0854919i
\(59\) −9.74555 + 3.82485i −1.26876 + 0.497953i −0.901748 0.432263i \(-0.857715\pi\)
−0.367015 + 0.930215i \(0.619620\pi\)
\(60\) −0.437624 1.05494i −0.0564970 0.136192i
\(61\) 9.85193 0.738300i 1.26141 0.0945297i 0.572821 0.819681i \(-0.305849\pi\)
0.688590 + 0.725151i \(0.258230\pi\)
\(62\) −9.94364 2.16921i −1.26284 0.275490i
\(63\) 2.22740 2.39260i 0.280626 0.301439i
\(64\) 2.22687 + 7.68382i 0.278359 + 0.960477i
\(65\) −1.52261 0.229497i −0.188857 0.0284656i
\(66\) 1.13032 + 7.03932i 0.139133 + 0.866480i
\(67\) −11.4770 6.62623i −1.40214 0.809523i −0.407524 0.913194i \(-0.633608\pi\)
−0.994612 + 0.103671i \(0.966941\pi\)
\(68\) −4.10443 + 11.0798i −0.497735 + 1.34362i
\(69\) 4.78003 9.92583i 0.575448 1.19493i
\(70\) −0.709432 1.44366i −0.0847933 0.172550i
\(71\) −13.6050 + 6.55184i −1.61462 + 0.777560i −0.999937 0.0112133i \(-0.996431\pi\)
−0.614684 + 0.788774i \(0.710716\pi\)
\(72\) −3.28852 1.18238i −0.387556 0.139345i
\(73\) 5.75662 + 5.34136i 0.673761 + 0.625159i 0.940974 0.338478i \(-0.109912\pi\)
−0.267213 + 0.963638i \(0.586103\pi\)
\(74\) −0.517915 1.28321i −0.0602064 0.149170i
\(75\) −3.60308 + 5.28475i −0.416048 + 0.610231i
\(76\) −1.54695 + 3.37688i −0.177448 + 0.387355i
\(77\) 2.21814 + 9.79315i 0.252780 + 1.11603i
\(78\) 5.21997 4.24553i 0.591045 0.480711i
\(79\) −4.67982 8.10569i −0.526521 0.911962i −0.999522 0.0308999i \(-0.990163\pi\)
0.473001 0.881062i \(-0.343171\pi\)
\(80\) −1.12030 + 1.30460i −0.125254 + 0.145859i
\(81\) −3.11231 + 2.12194i −0.345812 + 0.235771i
\(82\) 1.66989 2.50060i 0.184409 0.276145i
\(83\) 16.5284 + 3.77249i 1.81422 + 0.414085i 0.988653 0.150215i \(-0.0479966\pi\)
0.825570 + 0.564300i \(0.190854\pi\)
\(84\) 6.75196 + 1.95347i 0.736699 + 0.213141i
\(85\) −2.47610 + 0.565153i −0.268570 + 0.0612995i
\(86\) 3.56026 9.33429i 0.383913 1.00654i
\(87\) 4.18823 + 1.29190i 0.449025 + 0.138506i
\(88\) 8.69119 6.30023i 0.926484 0.671606i
\(89\) −6.38494 + 1.96949i −0.676802 + 0.208766i −0.614055 0.789264i \(-0.710463\pi\)
−0.0627476 + 0.998029i \(0.519986\pi\)
\(90\) −0.174185 0.730701i −0.0183608 0.0770227i
\(91\) 6.95740 6.43408i 0.729334 0.674475i
\(92\) −16.5844 + 0.318931i −1.72905 + 0.0332509i
\(93\) 8.89863 + 3.49245i 0.922745 + 0.362151i
\(94\) −1.69962 0.959610i −0.175303 0.0989762i
\(95\) −0.789489 + 0.118996i −0.0809999 + 0.0122088i
\(96\) −0.920952 7.45753i −0.0939943 0.761131i
\(97\) −11.9331 −1.21162 −0.605811 0.795608i \(-0.707151\pi\)
−0.605811 + 0.795608i \(0.707151\pi\)
\(98\) 9.66497 + 2.14203i 0.976310 + 0.216378i
\(99\) 4.68913i 0.471276i
\(100\) 9.54864 + 1.25197i 0.954864 + 0.125197i
\(101\) −1.50915 10.0126i −0.150167 0.996290i −0.929272 0.369397i \(-0.879564\pi\)
0.779105 0.626893i \(-0.215674\pi\)
\(102\) 5.45635 9.66407i 0.540259 0.956885i
\(103\) −1.75717 + 4.47721i −0.173139 + 0.441152i −0.990933 0.134360i \(-0.957102\pi\)
0.817793 + 0.575512i \(0.195197\pi\)
\(104\) −9.25045 4.13051i −0.907081 0.405030i
\(105\) 0.442941 + 1.44448i 0.0432266 + 0.140967i
\(106\) 0.852847 + 3.57766i 0.0828358 + 0.347493i
\(107\) −1.01911 3.30387i −0.0985210 0.319397i 0.892873 0.450308i \(-0.148686\pi\)
−0.991394 + 0.130911i \(0.958210\pi\)
\(108\) 9.85123 + 5.43779i 0.947935 + 0.523251i
\(109\) −2.62257 + 8.50215i −0.251196 + 0.814358i 0.738881 + 0.673836i \(0.235354\pi\)
−0.990077 + 0.140522i \(0.955122\pi\)
\(110\) 2.15591 + 0.822300i 0.205558 + 0.0784032i
\(111\) 0.289222 + 1.26716i 0.0274517 + 0.120274i
\(112\) −1.96124 10.3997i −0.185320 0.982678i
\(113\) −0.499667 + 2.18918i −0.0470047 + 0.205941i −0.992977 0.118306i \(-0.962254\pi\)
0.945973 + 0.324247i \(0.105111\pi\)
\(114\) 1.93750 2.90133i 0.181463 0.271735i
\(115\) −2.00852 2.94596i −0.187296 0.274713i
\(116\) −1.10884 6.50536i −0.102953 0.604008i
\(117\) 3.83250 2.21269i 0.354315 0.204564i
\(118\) −9.34210 11.4863i −0.860010 1.05740i
\(119\) 6.80517 14.0713i 0.623829 1.28992i
\(120\) 1.23324 1.04305i 0.112579 0.0952171i
\(121\) −2.81228 1.91738i −0.255661 0.174307i
\(122\) 5.22928 + 12.9563i 0.473437 + 1.17301i
\(123\) −1.92102 + 2.07037i −0.173213 + 0.186679i
\(124\) −1.35137 14.3296i −0.121357 1.28683i
\(125\) 1.83081 + 3.80171i 0.163753 + 0.340036i
\(126\) 4.18096 + 1.97263i 0.372470 + 0.175735i
\(127\) 3.99994 + 1.92627i 0.354937 + 0.170929i 0.602852 0.797853i \(-0.294031\pi\)
−0.247915 + 0.968782i \(0.579745\pi\)
\(128\) −9.39536 + 6.30295i −0.830441 + 0.557107i
\(129\) −4.69177 + 8.12638i −0.413087 + 0.715488i
\(130\) −0.345245 2.15008i −0.0302799 0.188574i
\(131\) −1.58508 + 10.5163i −0.138489 + 0.918817i 0.806387 + 0.591388i \(0.201420\pi\)
−0.944876 + 0.327428i \(0.893818\pi\)
\(132\) −8.99834 + 4.54854i −0.783205 + 0.395900i
\(133\) 2.46387 4.25124i 0.213644 0.368629i
\(134\) 3.99459 18.3112i 0.345080 1.58184i
\(135\) 0.180751 + 2.41196i 0.0155566 + 0.207588i
\(136\) −16.6921 0.767662i −1.43133 0.0658264i
\(137\) −5.92813 15.1046i −0.506474 1.29048i −0.924202 0.381903i \(-0.875269\pi\)
0.417728 0.908572i \(-0.362827\pi\)
\(138\) 15.4278 + 2.17388i 1.31330 + 0.185053i
\(139\) 4.59929 3.66781i 0.390106 0.311100i −0.408721 0.912659i \(-0.634025\pi\)
0.798828 + 0.601560i \(0.205454\pi\)
\(140\) 1.64013 1.57634i 0.138616 0.133225i
\(141\) 1.43332 + 1.14303i 0.120707 + 0.0962607i
\(142\) −14.6751 15.5141i −1.23151 1.30192i
\(143\) −1.01585 + 13.5556i −0.0849495 + 1.13357i
\(144\) 0.179573 4.93888i 0.0149644 0.411573i
\(145\) 1.03984 0.964830i 0.0863540 0.0801248i
\(146\) −4.72218 + 10.0518i −0.390811 + 0.831893i
\(147\) −8.64424 3.42575i −0.712965 0.282552i
\(148\) 1.50628 1.24934i 0.123815 0.102695i
\(149\) 16.3671 + 17.6396i 1.34085 + 1.44509i 0.794095 + 0.607794i \(0.207945\pi\)
0.546752 + 0.837295i \(0.315864\pi\)
\(150\) −8.66890 2.58299i −0.707813 0.210901i
\(151\) −0.0116411 + 0.155339i −0.000947337 + 0.0126413i −0.997657 0.0684079i \(-0.978208\pi\)
0.996710 + 0.0810493i \(0.0258271\pi\)
\(152\) −5.21463 0.632782i −0.422962 0.0513254i
\(153\) 4.55102 5.70680i 0.367928 0.461367i
\(154\) −12.2411 + 7.19782i −0.986412 + 0.580017i
\(155\) 2.41886 1.92897i 0.194287 0.154939i
\(156\) 7.96370 + 5.20813i 0.637606 + 0.416984i
\(157\) −0.336258 + 0.131972i −0.0268363 + 0.0105325i −0.378721 0.925511i \(-0.623636\pi\)
0.351885 + 0.936043i \(0.385541\pi\)
\(158\) 8.90943 9.78918i 0.708796 0.778785i
\(159\) −0.258159 3.44490i −0.0204734 0.273198i
\(160\) −2.23924 0.948658i −0.177028 0.0749980i
\(161\) 21.8791 + 1.67611i 1.72431 + 0.132096i
\(162\) −4.19665 3.28121i −0.329720 0.257796i
\(163\) −1.35487 + 8.98897i −0.106122 + 0.704070i 0.870983 + 0.491312i \(0.163483\pi\)
−0.977105 + 0.212758i \(0.931755\pi\)
\(164\) 4.08685 + 1.17506i 0.319130 + 0.0917570i
\(165\) −1.87692 1.08364i −0.146118 0.0843612i
\(166\) 2.02149 + 23.8904i 0.156898 + 1.85425i
\(167\) 8.96244 + 4.31608i 0.693534 + 0.333989i 0.747227 0.664569i \(-0.231385\pi\)
−0.0536926 + 0.998558i \(0.517099\pi\)
\(168\) 0.270182 + 9.93665i 0.0208450 + 0.766629i
\(169\) −0.154081 + 0.0742013i −0.0118524 + 0.00570779i
\(170\) −1.82571 3.09317i −0.140026 0.237235i
\(171\) 1.56073 1.68207i 0.119352 0.128631i
\(172\) 14.1065 + 0.784726i 1.07561 + 0.0598348i
\(173\) −4.64545 + 6.81362i −0.353187 + 0.518030i −0.961184 0.275910i \(-0.911021\pi\)
0.607997 + 0.793939i \(0.291973\pi\)
\(174\) 0.0595921 + 6.19814i 0.00451766 + 0.469880i
\(175\) −12.4156 2.85547i −0.938534 0.215853i
\(176\) 12.2240 + 9.00180i 0.921421 + 0.678536i
\(177\) 6.95332 + 12.0435i 0.522643 + 0.905245i
\(178\) −5.39790 7.75599i −0.404590 0.581336i
\(179\) 3.65409 + 5.35956i 0.273119 + 0.400593i 0.938153 0.346221i \(-0.112535\pi\)
−0.665034 + 0.746813i \(0.731583\pi\)
\(180\) 0.909616 0.548752i 0.0677988 0.0409016i
\(181\) −18.8643 4.30565i −1.40217 0.320037i −0.546458 0.837486i \(-0.684024\pi\)
−0.855714 + 0.517450i \(0.826882\pi\)
\(182\) 11.6592 + 6.60831i 0.864234 + 0.489841i
\(183\) −2.92021 12.7943i −0.215868 0.945782i
\(184\) −7.55801 22.2073i −0.557184 1.63715i
\(185\) 0.401966 + 0.123990i 0.0295531 + 0.00911593i
\(186\) −0.880626 + 13.4904i −0.0645706 + 0.989162i
\(187\) 6.60880 + 21.4252i 0.483283 + 1.56677i
\(188\) 0.562364 2.70238i 0.0410146 0.197092i
\(189\) −12.2851 8.40570i −0.893607 0.611425i
\(190\) −0.499663 1.01254i −0.0362494 0.0734576i
\(191\) −1.04490 + 2.66235i −0.0756060 + 0.192641i −0.963680 0.267059i \(-0.913948\pi\)
0.888074 + 0.459700i \(0.152043\pi\)
\(192\) 9.65179 4.44620i 0.696558 0.320877i
\(193\) −10.4825 + 1.57999i −0.754549 + 0.113730i −0.515042 0.857165i \(-0.672224\pi\)
−0.239506 + 0.970895i \(0.576986\pi\)
\(194\) −5.12908 16.0776i −0.368247 1.15431i
\(195\) 2.04538i 0.146473i
\(196\) 1.26821 + 13.9424i 0.0905862 + 0.995889i
\(197\) 16.2224i 1.15580i 0.816109 + 0.577898i \(0.196127\pi\)
−0.816109 + 0.577898i \(0.803873\pi\)
\(198\) −6.31773 + 2.01548i −0.448982 + 0.143234i
\(199\) 1.21310 0.182846i 0.0859945 0.0129616i −0.105904 0.994376i \(-0.533774\pi\)
0.191899 + 0.981415i \(0.438536\pi\)
\(200\) 2.41740 + 13.4031i 0.170936 + 0.947745i
\(201\) −6.43134 + 16.3868i −0.453632 + 1.15584i
\(202\) 12.8414 6.33691i 0.903520 0.445864i
\(203\) 0.637945 + 8.70656i 0.0447749 + 0.611081i
\(204\) 15.3658 + 3.19761i 1.07582 + 0.223877i
\(205\) 0.269426 + 0.873458i 0.0188175 + 0.0610049i
\(206\) −6.78747 0.443073i −0.472905 0.0308704i
\(207\) 9.79196 + 3.02042i 0.680588 + 0.209934i
\(208\) 1.58907 14.2386i 0.110182 0.987271i
\(209\) 1.56841 + 6.87167i 0.108489 + 0.475324i
\(210\) −1.75579 + 1.21765i −0.121161 + 0.0840256i
\(211\) 15.4744 + 3.53194i 1.06530 + 0.243149i 0.719026 0.694983i \(-0.244588\pi\)
0.346278 + 0.938132i \(0.387445\pi\)
\(212\) −4.45366 + 2.68680i −0.305879 + 0.184530i
\(213\) 11.2993 + 16.5730i 0.774215 + 1.13557i
\(214\) 4.01332 2.79313i 0.274345 0.190934i
\(215\) 1.51845 + 2.63004i 0.103558 + 0.179367i
\(216\) −3.09215 + 15.6100i −0.210394 + 1.06212i
\(217\) −0.0315847 + 19.0403i −0.00214411 + 1.29254i
\(218\) −12.5823 + 0.120972i −0.852180 + 0.00819329i
\(219\) 5.87617 8.61876i 0.397075 0.582402i
\(220\) −0.181245 + 3.25812i −0.0122195 + 0.219663i
\(221\) 14.3926 15.5115i 0.968151 1.04342i
\(222\) −1.58295 + 0.934325i −0.106241 + 0.0627078i
\(223\) −13.9259 + 6.70638i −0.932550 + 0.449093i −0.837535 0.546383i \(-0.816004\pi\)
−0.0950150 + 0.995476i \(0.530290\pi\)
\(224\) 13.1687 7.11240i 0.879868 0.475217i
\(225\) −5.36016 2.58132i −0.357344 0.172088i
\(226\) −3.16428 + 0.267746i −0.210485 + 0.0178102i
\(227\) −19.5630 11.2947i −1.29845 0.749658i −0.318310 0.947987i \(-0.603115\pi\)
−0.980135 + 0.198329i \(0.936448\pi\)
\(228\) 4.74178 + 1.36337i 0.314032 + 0.0902914i
\(229\) 1.52548 10.1209i 0.100806 0.668806i −0.880167 0.474664i \(-0.842570\pi\)
0.980973 0.194142i \(-0.0621923\pi\)
\(230\) 3.10583 3.97235i 0.204793 0.261929i
\(231\) 12.4241 4.85234i 0.817447 0.319260i
\(232\) 8.28816 4.29009i 0.544144 0.281658i
\(233\) 0.802002 + 10.7020i 0.0525409 + 0.701109i 0.959826 + 0.280594i \(0.0905315\pi\)
−0.907286 + 0.420515i \(0.861849\pi\)
\(234\) 4.62848 + 4.21252i 0.302573 + 0.275381i
\(235\) 0.552312 0.216767i 0.0360289 0.0141403i
\(236\) 11.4603 17.5238i 0.745999 1.14070i
\(237\) −9.72029 + 7.75167i −0.631401 + 0.503525i
\(238\) 21.8835 + 3.12057i 1.41850 + 0.202276i
\(239\) −15.2056 + 19.0672i −0.983567 + 1.23335i −0.0111906 + 0.999937i \(0.503562\pi\)
−0.972377 + 0.233417i \(0.925009\pi\)
\(240\) 1.93539 + 1.21323i 0.124929 + 0.0783138i
\(241\) 1.78596 23.8320i 0.115044 1.53515i −0.579063 0.815283i \(-0.696582\pi\)
0.694107 0.719872i \(-0.255799\pi\)
\(242\) 1.37454 4.61315i 0.0883586 0.296544i
\(243\) −8.07703 8.70497i −0.518142 0.558424i
\(244\) −15.2086 + 12.6144i −0.973629 + 0.807551i
\(245\) −2.35900 + 1.86847i −0.150711 + 0.119372i
\(246\) −3.61513 1.69833i −0.230492 0.108282i
\(247\) 4.87622 4.52447i 0.310267 0.287885i
\(248\) 18.7256 7.97985i 1.18908 0.506721i
\(249\) 1.68290 22.4568i 0.106650 1.42314i
\(250\) −4.33518 + 4.10073i −0.274181 + 0.259353i
\(251\) −0.752680 0.600242i −0.0475088 0.0378870i 0.599448 0.800414i \(-0.295387\pi\)
−0.646956 + 0.762527i \(0.723958\pi\)
\(252\) −0.860686 + 6.48094i −0.0542181 + 0.408261i
\(253\) −24.6094 + 19.6253i −1.54718 + 1.23383i
\(254\) −0.876036 + 6.21712i −0.0549674 + 0.390097i
\(255\) 1.23254 + 3.14045i 0.0771845 + 0.196663i
\(256\) −12.5304 9.94937i −0.783148 0.621836i
\(257\) 0.316145 + 4.21866i 0.0197206 + 0.263153i 0.998346 + 0.0574998i \(0.0183128\pi\)
−0.978625 + 0.205653i \(0.934068\pi\)
\(258\) −12.9654 2.82840i −0.807190 0.176089i
\(259\) −2.14141 + 1.45479i −0.133060 + 0.0903961i
\(260\) 2.74844 1.38930i 0.170451 0.0861607i
\(261\) −0.607610 + 4.03123i −0.0376101 + 0.249527i
\(262\) −14.8501 + 2.38453i −0.917443 + 0.147316i
\(263\) 1.91887 3.32358i 0.118323 0.204941i −0.800780 0.598958i \(-0.795582\pi\)
0.919103 + 0.394017i \(0.128915\pi\)
\(264\) −9.99598 10.1685i −0.615210 0.625830i
\(265\) −1.00732 0.485099i −0.0618791 0.0297994i
\(266\) 6.78678 + 1.49233i 0.416124 + 0.0915009i
\(267\) 3.85099 + 7.99667i 0.235677 + 0.489388i
\(268\) 26.3879 2.48854i 1.61189 0.152012i
\(269\) 20.7734 22.3884i 1.26658 1.36505i 0.365844 0.930676i \(-0.380780\pi\)
0.900734 0.434371i \(-0.143029\pi\)
\(270\) −3.17198 + 1.28024i −0.193040 + 0.0779127i
\(271\) −3.21434 2.19150i −0.195257 0.133124i 0.461745 0.887013i \(-0.347223\pi\)
−0.657002 + 0.753889i \(0.728176\pi\)
\(272\) −6.14030 22.8194i −0.372310 1.38363i
\(273\) −9.82854 7.86471i −0.594851 0.475994i
\(274\) 17.8027 14.4793i 1.07550 0.874728i
\(275\) 15.8263 9.13734i 0.954364 0.551003i
\(276\) 3.70226 + 21.7204i 0.222850 + 1.30742i
\(277\) −13.0300 19.1115i −0.782895 1.14830i −0.985606 0.169057i \(-0.945928\pi\)
0.202711 0.979239i \(-0.435025\pi\)
\(278\) 6.91856 + 4.62019i 0.414947 + 0.277100i
\(279\) −1.97857 + 8.66870i −0.118454 + 0.518981i
\(280\) 2.82879 + 1.53223i 0.169052 + 0.0915683i
\(281\) −0.373388 1.63592i −0.0222745 0.0975908i 0.962569 0.271037i \(-0.0873667\pi\)
−0.984843 + 0.173447i \(0.944510\pi\)
\(282\) −0.923955 + 2.42243i −0.0550207 + 0.144253i
\(283\) 5.25221 17.0273i 0.312212 1.01217i −0.654449 0.756106i \(-0.727099\pi\)
0.966661 0.256060i \(-0.0824243\pi\)
\(284\) 14.5948 26.4403i 0.866041 1.56894i
\(285\) 0.312602 + 1.01343i 0.0185170 + 0.0600305i
\(286\) −18.7002 + 4.45778i −1.10577 + 0.263594i
\(287\) −5.23315 2.06388i −0.308903 0.121827i
\(288\) 6.73141 1.88089i 0.396652 0.110832i
\(289\) 6.54027 16.6643i 0.384722 0.980255i
\(290\) 1.74687 + 0.986287i 0.102580 + 0.0579168i
\(291\) 2.36248 + 15.6741i 0.138491 + 0.918830i
\(292\) −15.5726 2.04180i −0.911319 0.119487i
\(293\) 16.1698i 0.944650i −0.881425 0.472325i \(-0.843415\pi\)
0.881425 0.472325i \(-0.156585\pi\)
\(294\) 0.900101 13.1190i 0.0524949 0.765114i
\(295\) 4.50077 0.262045
\(296\) 2.33068 + 1.49244i 0.135468 + 0.0867461i
\(297\) 21.1142 3.18245i 1.22517 0.184664i
\(298\) −16.7311 + 29.6335i −0.969207 + 1.71662i
\(299\) 27.6527 + 10.8529i 1.59920 + 0.627639i
\(300\) −0.245961 12.7900i −0.0142005 0.738428i
\(301\) −18.4766 2.81625i −1.06497 0.162326i
\(302\) −0.214294 + 0.0510837i −0.0123312 + 0.00293954i
\(303\) −12.8527 + 3.96453i −0.738369 + 0.227757i
\(304\) −1.38880 7.29773i −0.0796529 0.418553i
\(305\) −4.05857 1.25190i −0.232393 0.0716837i
\(306\) 9.64497 + 3.67876i 0.551366 + 0.210301i
\(307\) 22.1477 5.05506i 1.26403 0.288507i 0.462587 0.886574i \(-0.346921\pi\)
0.801447 + 0.598066i \(0.204064\pi\)
\(308\) −14.9592 13.3988i −0.852378 0.763466i
\(309\) 6.22867 + 1.42165i 0.354337 + 0.0808750i
\(310\) 3.63861 + 2.42985i 0.206659 + 0.138006i
\(311\) 17.9489 12.2373i 1.01779 0.693915i 0.0651028 0.997879i \(-0.479262\pi\)
0.952684 + 0.303963i \(0.0983101\pi\)
\(312\) −3.59402 + 12.9682i −0.203472 + 0.734178i
\(313\) 4.16084 + 7.20678i 0.235185 + 0.407352i 0.959326 0.282300i \(-0.0910972\pi\)
−0.724142 + 0.689651i \(0.757764\pi\)
\(314\) −0.322338 0.396322i −0.0181906 0.0223657i
\(315\) −1.26716 + 0.607645i −0.0713964 + 0.0342369i
\(316\) 17.0186 + 7.79622i 0.957368 + 0.438572i
\(317\) −1.15606 + 1.69563i −0.0649308 + 0.0952359i −0.857331 0.514766i \(-0.827879\pi\)
0.792400 + 0.610002i \(0.208831\pi\)
\(318\) 4.53040 1.82851i 0.254052 0.102538i
\(319\) −9.17978 8.51759i −0.513969 0.476893i
\(320\) 0.315670 3.42471i 0.0176465 0.191447i
\(321\) −4.13785 + 1.99269i −0.230953 + 0.111221i
\(322\) 7.14581 + 30.1984i 0.398220 + 1.68289i
\(323\) 4.76047 9.88523i 0.264880 0.550029i
\(324\) 2.61702 7.06454i 0.145390 0.392474i
\(325\) −14.9362 8.62341i −0.828510 0.478341i
\(326\) −12.6933 + 2.03820i −0.703017 + 0.112886i
\(327\) 11.6867 + 1.76149i 0.646278 + 0.0974107i
\(328\) 0.173431 + 6.01134i 0.00957611 + 0.331921i
\(329\) −1.08209 + 3.48749i −0.0596573 + 0.192271i
\(330\) 0.653266 2.99457i 0.0359611 0.164846i
\(331\) 20.5534 1.54027i 1.12972 0.0846606i 0.503274 0.864127i \(-0.332129\pi\)
0.626444 + 0.779466i \(0.284510\pi\)
\(332\) −31.3190 + 12.9921i −1.71885 + 0.713036i
\(333\) −1.12538 + 0.441680i −0.0616706 + 0.0242039i
\(334\) −1.96289 + 13.9304i −0.107404 + 0.762235i
\(335\) 3.55220 + 4.45432i 0.194077 + 0.243365i
\(336\) −13.2717 + 4.63499i −0.724028 + 0.252859i
\(337\) −7.66886 + 9.61644i −0.417749 + 0.523841i −0.945528 0.325541i \(-0.894454\pi\)
0.527779 + 0.849382i \(0.323025\pi\)
\(338\) −0.166199 0.175702i −0.00904006 0.00955692i
\(339\) 2.97440 + 0.222901i 0.161547 + 0.0121063i
\(340\) 3.38274 3.78931i 0.183455 0.205504i
\(341\) −18.5773 20.0216i −1.00602 1.08423i
\(342\) 2.93710 + 1.37981i 0.158820 + 0.0746114i
\(343\) 0.0921656 18.5200i 0.00497647 0.999988i
\(344\) 5.00598 + 19.3432i 0.269904 + 1.04291i
\(345\) −3.47187 + 3.22142i −0.186919 + 0.173435i
\(346\) −11.1768 3.33025i −0.600868 0.179035i
\(347\) −25.2991 1.89591i −1.35813 0.101778i −0.624338 0.781154i \(-0.714631\pi\)
−0.733790 + 0.679377i \(0.762250\pi\)
\(348\) −8.32523 + 2.74437i −0.446279 + 0.147114i
\(349\) −17.5051 13.9598i −0.937025 0.747252i 0.0306299 0.999531i \(-0.490249\pi\)
−0.967655 + 0.252278i \(0.918820\pi\)
\(350\) −1.48928 17.9551i −0.0796053 0.959741i
\(351\) −12.5644 15.7552i −0.670636 0.840951i
\(352\) −6.87413 + 20.3388i −0.366392 + 1.08406i
\(353\) 1.25126 + 3.18816i 0.0665980 + 0.169689i 0.960298 0.278976i \(-0.0899950\pi\)
−0.893700 + 0.448665i \(0.851900\pi\)
\(354\) −13.2377 + 14.5448i −0.703576 + 0.773049i
\(355\) 6.47359 0.485128i 0.343582 0.0257479i
\(356\) 8.12963 10.6063i 0.430870 0.562135i
\(357\) −19.8299 6.15275i −1.04951 0.325638i
\(358\) −5.65042 + 7.22685i −0.298634 + 0.381951i
\(359\) −1.84365 0.277886i −0.0973042 0.0146662i 0.100210 0.994966i \(-0.468049\pi\)
−0.197514 + 0.980300i \(0.563287\pi\)
\(360\) 1.13031 + 0.989674i 0.0595727 + 0.0521604i
\(361\) −7.77545 + 13.4675i −0.409234 + 0.708815i
\(362\) −2.30718 27.2668i −0.121263 1.43311i
\(363\) −1.96170 + 4.07351i −0.102962 + 0.213804i
\(364\) −3.89213 + 18.5489i −0.204003 + 0.972228i
\(365\) −1.46480 3.04168i −0.0766710 0.159209i
\(366\) 15.9828 9.43369i 0.835433 0.493107i
\(367\) −9.72942 9.02758i −0.507871 0.471236i 0.384123 0.923282i \(-0.374504\pi\)
−0.891995 + 0.452046i \(0.850694\pi\)
\(368\) 26.6717 19.7282i 1.39036 1.02840i
\(369\) −2.17054 1.47985i −0.112994 0.0770379i
\(370\) 0.00571935 + 0.594867i 0.000297335 + 0.0309257i
\(371\) 6.20427 2.97515i 0.322110 0.154462i
\(372\) −18.5543 + 4.61195i −0.961995 + 0.239118i
\(373\) 8.05133 4.64844i 0.416882 0.240687i −0.276860 0.960910i \(-0.589294\pi\)
0.693742 + 0.720223i \(0.255961\pi\)
\(374\) −26.0259 + 18.1131i −1.34577 + 0.936606i
\(375\) 4.63107 3.15741i 0.239148 0.163048i
\(376\) 3.88267 0.403857i 0.200234 0.0208273i
\(377\) −2.62983 + 11.5220i −0.135443 + 0.593415i
\(378\) 6.04475 20.1648i 0.310909 1.03716i
\(379\) −3.43812 + 0.784728i −0.176604 + 0.0403087i −0.309908 0.950766i \(-0.600298\pi\)
0.133304 + 0.991075i \(0.457441\pi\)
\(380\) 1.14945 1.10841i 0.0589654 0.0568604i
\(381\) 1.73825 5.63525i 0.0890530 0.288703i
\(382\) −4.03614 0.263472i −0.206507 0.0134804i
\(383\) −14.4957 + 4.47133i −0.740696 + 0.228474i −0.642066 0.766650i \(-0.721922\pi\)
−0.0986303 + 0.995124i \(0.531446\pi\)
\(384\) 10.1390 + 11.0929i 0.517402 + 0.566083i
\(385\) 0.650459 4.26747i 0.0331505 0.217490i
\(386\) −6.63433 13.4441i −0.337679 0.684289i
\(387\) −8.12468 3.18870i −0.413001 0.162091i
\(388\) 19.4570 13.8210i 0.987781 0.701653i
\(389\) 2.70183 + 17.9255i 0.136988 + 0.908858i 0.946720 + 0.322058i \(0.104375\pi\)
−0.809732 + 0.586800i \(0.800387\pi\)
\(390\) −2.75577 + 0.879144i −0.139544 + 0.0445172i
\(391\) 48.9976 2.47791
\(392\) −18.2397 + 7.70141i −0.921246 + 0.388980i
\(393\) 14.1270 0.712611
\(394\) −21.8566 + 6.97269i −1.10112 + 0.351279i
\(395\) 0.599709 + 3.97881i 0.0301746 + 0.200195i
\(396\) −5.43097 7.64568i −0.272917 0.384210i
\(397\) −3.01373 1.18280i −0.151255 0.0593632i 0.288506 0.957478i \(-0.406842\pi\)
−0.439761 + 0.898115i \(0.644937\pi\)
\(398\) 0.767765 + 1.55584i 0.0384846 + 0.0779871i
\(399\) −6.07177 2.39463i −0.303969 0.119881i
\(400\) −17.0192 + 9.01793i −0.850959 + 0.450896i
\(401\) −12.1303 + 3.74170i −0.605758 + 0.186852i −0.582436 0.812876i \(-0.697900\pi\)
−0.0233220 + 0.999728i \(0.507424\pi\)
\(402\) −24.8425 1.62167i −1.23903 0.0808815i
\(403\) −7.59772 + 24.6312i −0.378470 + 1.22697i
\(404\) 14.0573 + 14.5777i 0.699378 + 0.725268i
\(405\) 1.57878 0.360346i 0.0784502 0.0179057i
\(406\) −11.4563 + 4.60176i −0.568565 + 0.228382i
\(407\) 0.826346 3.62046i 0.0409605 0.179459i
\(408\) 2.29633 + 22.0769i 0.113686 + 1.09297i
\(409\) 13.9418 9.50537i 0.689378 0.470010i −0.167270 0.985911i \(-0.553495\pi\)
0.856648 + 0.515901i \(0.172543\pi\)
\(410\) −1.06102 + 0.738431i −0.0523999 + 0.0364685i
\(411\) −18.6662 + 10.7769i −0.920737 + 0.531588i
\(412\) −2.32043 9.33529i −0.114319 0.459917i
\(413\) −17.3060 + 21.6273i −0.851571 + 1.06421i
\(414\) 0.139325 + 14.4911i 0.00684743 + 0.712198i
\(415\) −6.02191 4.10567i −0.295604 0.201539i
\(416\) 19.8669 3.97907i 0.974056 0.195090i
\(417\) −5.72820 5.31500i −0.280511 0.260277i
\(418\) −8.58417 + 5.06673i −0.419865 + 0.247822i
\(419\) 9.30669 + 19.3256i 0.454662 + 0.944115i 0.994733 + 0.102496i \(0.0326828\pi\)
−0.540072 + 0.841619i \(0.681603\pi\)
\(420\) −2.39522 1.84223i −0.116875 0.0898914i
\(421\) −6.37277 + 13.2332i −0.310590 + 0.644946i −0.996577 0.0826670i \(-0.973656\pi\)
0.685987 + 0.727613i \(0.259370\pi\)
\(422\) 1.89259 + 22.3670i 0.0921298 + 1.08881i
\(423\) −0.852605 + 1.47676i −0.0414551 + 0.0718023i
\(424\) −5.53424 4.84564i −0.268766 0.235325i
\(425\) −28.1293 4.23981i −1.36447 0.205661i
\(426\) −17.4724 + 22.3471i −0.846541 + 1.08272i
\(427\) 21.6213 14.6887i 1.04633 0.710836i
\(428\) 5.48822 + 4.20666i 0.265283 + 0.203336i
\(429\) 18.0063 1.34938i 0.869351 0.0651488i
\(430\) −2.89082 + 3.17627i −0.139408 + 0.153174i
\(431\) 1.45018 + 3.69500i 0.0698528 + 0.177982i 0.961537 0.274677i \(-0.0885708\pi\)
−0.891684 + 0.452659i \(0.850476\pi\)
\(432\) −22.3606 + 2.54337i −1.07582 + 0.122368i
\(433\) 20.2700 + 25.4178i 0.974115 + 1.22150i 0.975160 + 0.221502i \(0.0710960\pi\)
−0.00104491 + 0.999999i \(0.500333\pi\)
\(434\) −25.6669 + 8.14135i −1.23205 + 0.390797i
\(435\) −1.47316 1.17481i −0.0706328 0.0563278i
\(436\) −5.57111 16.9003i −0.266808 0.809378i
\(437\) 15.3599 + 1.15106i 0.734762 + 0.0550628i
\(438\) 14.1379 + 4.21253i 0.675534 + 0.201283i
\(439\) 11.5167 10.6859i 0.549660 0.510010i −0.355731 0.934588i \(-0.615768\pi\)
0.905391 + 0.424578i \(0.139578\pi\)
\(440\) −4.46762 + 1.15621i −0.212985 + 0.0551202i
\(441\) 1.95249 8.42548i 0.0929758 0.401213i
\(442\) 27.0851 + 12.7242i 1.28831 + 0.605228i
\(443\) −4.90417 5.28544i −0.233004 0.251119i 0.605717 0.795680i \(-0.292886\pi\)
−0.838721 + 0.544562i \(0.816696\pi\)
\(444\) −1.93921 1.73115i −0.0920310 0.0821565i
\(445\) 2.86450 + 0.214664i 0.135790 + 0.0101761i
\(446\) −15.0212 15.8801i −0.711277 0.751944i
\(447\) 19.9291 24.9904i 0.942616 1.18200i
\(448\) 15.2428 + 14.6853i 0.720154 + 0.693814i
\(449\) −15.1065 18.9429i −0.712917 0.893970i 0.284996 0.958529i \(-0.408008\pi\)
−0.997914 + 0.0645583i \(0.979436\pi\)
\(450\) 1.17394 8.33132i 0.0553402 0.392742i
\(451\) 7.51164 2.94810i 0.353709 0.138821i
\(452\) −1.72081 4.14820i −0.0809401 0.195115i
\(453\) 0.206342 0.0154632i 0.00969479 0.000726524i
\(454\) 6.80896 31.2123i 0.319561 1.46486i
\(455\) −3.79480 + 1.48209i −0.177903 + 0.0694815i
\(456\) 0.201223 + 6.97467i 0.00942315 + 0.326619i
\(457\) 24.4772 + 3.68935i 1.14500 + 0.172580i 0.694020 0.719955i \(-0.255838\pi\)
0.450976 + 0.892536i \(0.351076\pi\)
\(458\) 14.2917 2.29486i 0.667806 0.107232i
\(459\) −28.7852 16.6191i −1.34358 0.775715i
\(460\) 6.68695 + 2.47714i 0.311781 + 0.115497i
\(461\) 5.32533 11.0582i 0.248025 0.515030i −0.739371 0.673298i \(-0.764877\pi\)
0.987396 + 0.158269i \(0.0505912\pi\)
\(462\) 11.8778 + 14.6536i 0.552603 + 0.681745i
\(463\) −9.13619 + 4.39976i −0.424595 + 0.204474i −0.633964 0.773363i \(-0.718573\pi\)
0.209369 + 0.977837i \(0.432859\pi\)
\(464\) 9.34252 + 9.32279i 0.433715 + 0.432800i
\(465\) −3.01258 2.79526i −0.139705 0.129627i
\(466\) −14.0742 + 5.68047i −0.651975 + 0.263143i
\(467\) −5.75198 + 8.43660i −0.266170 + 0.390400i −0.935935 0.352174i \(-0.885443\pi\)
0.669765 + 0.742573i \(0.266395\pi\)
\(468\) −3.68618 + 8.04664i −0.170394 + 0.371956i
\(469\) −35.0627 0.0581631i −1.61904 0.00268572i
\(470\) 0.529447 + 0.650968i 0.0244216 + 0.0300269i
\(471\) 0.239916 + 0.415546i 0.0110547 + 0.0191474i
\(472\) 28.5359 + 7.90850i 1.31347 + 0.364018i
\(473\) 22.1515 15.1026i 1.01853 0.694419i
\(474\) −14.6219 9.76446i −0.671606 0.448496i
\(475\) −8.71843 1.98992i −0.400029 0.0913040i
\(476\) 5.20157 + 30.8252i 0.238414 + 1.41287i
\(477\) 3.13266 0.715010i 0.143435 0.0327381i
\(478\) −32.2252 12.2912i −1.47394 0.562188i
\(479\) −22.7119 7.00570i −1.03773 0.320099i −0.271350 0.962481i \(-0.587470\pi\)
−0.766385 + 0.642382i \(0.777946\pi\)
\(480\) −0.802738 + 3.12904i −0.0366398 + 0.142821i
\(481\) −3.34899 + 1.03303i −0.152701 + 0.0471020i
\(482\) 32.8768 7.83722i 1.49750 0.356975i
\(483\) −2.13000 29.0699i −0.0969184 1.32273i
\(484\) 6.80616 0.130888i 0.309371 0.00594944i
\(485\) 4.77546 + 1.87423i 0.216842 + 0.0851044i
\(486\) 8.25666 14.6239i 0.374530 0.663352i
\(487\) 23.5607 3.55120i 1.06764 0.160920i 0.408360 0.912821i \(-0.366101\pi\)
0.659277 + 0.751901i \(0.270863\pi\)
\(488\) −23.5324 15.0688i −1.06526 0.682133i
\(489\) 12.0752 0.546059
\(490\) −3.53136 2.37521i −0.159530 0.107301i
\(491\) 28.5936i 1.29041i −0.764009 0.645206i \(-0.776772\pi\)
0.764009 0.645206i \(-0.223228\pi\)
\(492\) 0.734335 5.60070i 0.0331064 0.252499i
\(493\) 2.90532 + 19.2755i 0.130849 + 0.868126i
\(494\) 8.19179 + 4.62510i 0.368566 + 0.208093i
\(495\) 0.736482 1.87653i 0.0331024 0.0843436i
\(496\) 18.8000 + 21.7993i 0.844145 + 0.978820i
\(497\) −22.5605 + 32.9725i −1.01198 + 1.47902i
\(498\) 30.9797 7.38497i 1.38823 0.330929i
\(499\) −11.4491 37.1172i −0.512534 1.66159i −0.728385 0.685168i \(-0.759729\pi\)
0.215850 0.976426i \(-0.430748\pi\)
\(500\) −7.38831 4.07828i −0.330415 0.182386i
\(501\) 3.89479 12.6266i 0.174006 0.564115i
\(502\) 0.485198 1.27209i 0.0216555 0.0567763i
\(503\) −5.53284 24.2410i −0.246697 1.08085i −0.934782 0.355221i \(-0.884406\pi\)
0.688085 0.725630i \(-0.258452\pi\)
\(504\) −9.10180 + 1.62602i −0.405426 + 0.0724288i
\(505\) −0.968649 + 4.24393i −0.0431043 + 0.188852i
\(506\) −37.0191 24.7212i −1.64570 1.09899i
\(507\) 0.127968 + 0.187694i 0.00568324 + 0.00833578i
\(508\) −8.75295 + 1.49195i −0.388349 + 0.0661944i
\(509\) 9.02074 5.20813i 0.399837 0.230846i −0.286577 0.958057i \(-0.592517\pi\)
0.686414 + 0.727211i \(0.259184\pi\)
\(510\) −3.70141 + 3.01044i −0.163901 + 0.133305i
\(511\) 20.2483 + 4.65690i 0.895734 + 0.206009i
\(512\) 8.01913 21.1588i 0.354399 0.935094i
\(513\) −8.63323 5.88603i −0.381166 0.259875i
\(514\) −5.54798 + 2.23921i −0.244711 + 0.0987674i
\(515\) 1.40639 1.51573i 0.0619731 0.0667911i
\(516\) −1.76203 18.6842i −0.0775693 0.822524i
\(517\) −2.27265 4.71921i −0.0999512 0.207551i
\(518\) −2.88047 2.25985i −0.126561 0.0992920i
\(519\) 9.86934 + 4.75283i 0.433216 + 0.208626i
\(520\) 3.05316 + 3.10586i 0.133890 + 0.136201i
\(521\) −1.82110 + 3.15424i −0.0797839 + 0.138190i −0.903157 0.429311i \(-0.858756\pi\)
0.823373 + 0.567501i \(0.192090\pi\)
\(522\) −5.69250 + 0.914061i −0.249154 + 0.0400074i
\(523\) −1.16673 + 7.74077i −0.0510177 + 0.338480i 0.948731 + 0.316083i \(0.102368\pi\)
−0.999749 + 0.0223971i \(0.992870\pi\)
\(524\) −9.59557 18.9828i −0.419185 0.829269i
\(525\) −1.29262 + 16.8732i −0.0564147 + 0.736407i
\(526\) 5.30268 + 1.15678i 0.231208 + 0.0504380i
\(527\) 3.17721 + 42.3969i 0.138401 + 1.84684i
\(528\) 9.40374 17.8384i 0.409245 0.776315i
\(529\) 16.7276 + 42.6212i 0.727286 + 1.85309i
\(530\) 0.220615 1.56568i 0.00958292 0.0680088i
\(531\) −10.1131 + 8.06492i −0.438871 + 0.349988i
\(532\) 0.906447 + 9.78535i 0.0392994 + 0.424249i
\(533\) −5.95410 4.74824i −0.257901 0.205669i
\(534\) −9.11879 + 8.62562i −0.394609 + 0.373267i
\(535\) −0.111077 + 1.48223i −0.00480230 + 0.0640822i
\(536\) 14.6949 + 34.4831i 0.634722 + 1.48944i
\(537\) 6.31633 5.86070i 0.272570 0.252908i
\(538\) 39.0931 + 18.3653i 1.68542 + 0.791786i
\(539\) 18.0051 + 19.5345i 0.775536 + 0.841411i
\(540\) −3.08826 3.72338i −0.132897 0.160229i
\(541\) −10.8355 11.6779i −0.465856 0.502073i 0.455800 0.890082i \(-0.349353\pi\)
−0.921655 + 0.388009i \(0.873163\pi\)
\(542\) 1.57105 5.27267i 0.0674823 0.226480i
\(543\) −1.92075 + 25.6306i −0.0824271 + 1.09991i
\(544\) 28.1057 18.0811i 1.20502 0.775223i
\(545\) 2.38487 2.99054i 0.102157 0.128101i
\(546\) 6.37173 16.6225i 0.272685 0.711379i
\(547\) 13.6772 10.9072i 0.584796 0.466359i −0.285846 0.958275i \(-0.592275\pi\)
0.870643 + 0.491916i \(0.163703\pi\)
\(548\) 27.1601 + 17.7623i 1.16022 + 0.758766i
\(549\) 11.3628 4.45955i 0.484951 0.190329i
\(550\) 19.1133 + 17.3956i 0.814996 + 0.741753i
\(551\) 0.457940 + 6.11079i 0.0195089 + 0.260328i
\(552\) −27.6729 + 14.3240i −1.17784 + 0.609668i
\(553\) −21.4251 12.4172i −0.911087 0.528033i
\(554\) 20.1486 25.7699i 0.856032 1.09486i
\(555\) 0.0832801 0.552527i 0.00353504 0.0234535i
\(556\) −3.25111 + 11.3073i −0.137878 + 0.479537i
\(557\) 5.69673 + 3.28901i 0.241378 + 0.139360i 0.615810 0.787895i \(-0.288829\pi\)
−0.374432 + 0.927254i \(0.622162\pi\)
\(558\) −12.5299 + 1.06022i −0.530432 + 0.0448826i
\(559\) −22.7964 10.9782i −0.964184 0.464327i
\(560\) −0.848528 + 4.46985i −0.0358568 + 0.188886i
\(561\) 26.8335 12.9223i 1.13291 0.545581i
\(562\) 2.04361 1.20622i 0.0862044 0.0508814i
\(563\) −9.39664 + 10.1272i −0.396021 + 0.426809i −0.899312 0.437308i \(-0.855932\pi\)
0.503291 + 0.864117i \(0.332122\pi\)
\(564\) −3.66090 0.203651i −0.154152 0.00857526i
\(565\) 0.543796 0.797602i 0.0228777 0.0335554i
\(566\) 25.1986 0.242272i 1.05917 0.0101834i
\(567\) −4.33903 + 8.97199i −0.182222 + 0.376788i
\(568\) 41.8964 + 8.29920i 1.75794 + 0.348227i
\(569\) −10.3912 17.9980i −0.435620 0.754516i 0.561726 0.827323i \(-0.310137\pi\)
−0.997346 + 0.0728075i \(0.976804\pi\)
\(570\) −1.23105 + 0.856766i −0.0515629 + 0.0358860i
\(571\) 13.2291 + 19.4035i 0.553619 + 0.812010i 0.996414 0.0846128i \(-0.0269653\pi\)
−0.442795 + 0.896623i \(0.646013\pi\)
\(572\) −14.0437 23.2790i −0.587199 0.973345i
\(573\) 3.70385 + 0.845380i 0.154731 + 0.0353163i
\(574\) 0.531389 7.93779i 0.0221798 0.331317i
\(575\) −8.88657 38.9346i −0.370596 1.62369i
\(576\) 5.42744 + 8.26087i 0.226143 + 0.344203i
\(577\) −36.2247 11.1738i −1.50805 0.465173i −0.572962 0.819582i \(-0.694206\pi\)
−0.935090 + 0.354409i \(0.884682\pi\)
\(578\) 25.2632 + 1.64914i 1.05081 + 0.0685950i
\(579\) 4.15061 + 13.4559i 0.172493 + 0.559210i
\(580\) −0.577998 + 2.77751i −0.0240001 + 0.115330i
\(581\) 42.8836 13.1500i 1.77911 0.545553i
\(582\) −20.1024 + 9.92003i −0.833273 + 0.411199i
\(583\) −3.60597 + 9.18785i −0.149344 + 0.380522i
\(584\) −3.94247 21.8588i −0.163141 0.904524i
\(585\) −1.88124 + 0.283552i −0.0777798 + 0.0117234i
\(586\) 21.7858 6.95010i 0.899963 0.287106i
\(587\) 15.7689i 0.650854i −0.945567 0.325427i \(-0.894492\pi\)
0.945567 0.325427i \(-0.105508\pi\)
\(588\) 18.0622 4.42607i 0.744875 0.182528i
\(589\) 13.3653i 0.550708i
\(590\) 1.93452 + 6.06395i 0.0796429 + 0.249649i
\(591\) 21.3080 3.21166i 0.876494 0.132110i
\(592\) −1.00901 + 3.78164i −0.0414699 + 0.155425i
\(593\) 2.81806 7.18029i 0.115724 0.294859i −0.861263 0.508160i \(-0.830326\pi\)
0.976987 + 0.213300i \(0.0684213\pi\)
\(594\) 13.3630 + 27.0795i 0.548292 + 1.11109i
\(595\) −4.93340 + 4.56232i −0.202250 + 0.187037i
\(596\) −47.1170 9.80501i −1.92999 0.401629i
\(597\) −0.480334 1.55720i −0.0196587 0.0637321i
\(598\) −2.73657 + 41.9217i −0.111907 + 1.71430i
\(599\) 11.5245 + 3.55484i 0.470879 + 0.145247i 0.521108 0.853491i \(-0.325519\pi\)
−0.0502292 + 0.998738i \(0.515995\pi\)
\(600\) 17.1264 5.82876i 0.699181 0.237958i
\(601\) 7.38309 + 32.3474i 0.301162 + 1.31948i 0.868375 + 0.495907i \(0.165164\pi\)
−0.567213 + 0.823571i \(0.691978\pi\)
\(602\) −4.14723 26.1042i −0.169028 1.06393i
\(603\) −15.9634 3.64354i −0.650079 0.148376i
\(604\) −0.160934 0.266765i −0.00654830 0.0108545i
\(605\) 0.824288 + 1.20901i 0.0335121 + 0.0491532i
\(606\) −10.8658 15.6126i −0.441394 0.634218i
\(607\) 11.9109 + 20.6303i 0.483450 + 0.837360i 0.999819 0.0190060i \(-0.00605015\pi\)
−0.516369 + 0.856366i \(0.672717\pi\)
\(608\) 9.23540 5.00785i 0.374545 0.203095i
\(609\) 11.3097 2.56164i 0.458293 0.103803i
\(610\) −0.0577471 6.00625i −0.00233811 0.243186i
\(611\) −2.78467 + 4.08436i −0.112656 + 0.165236i
\(612\) −0.810844 + 14.5760i −0.0327764 + 0.589200i
\(613\) −8.12504 + 8.75671i −0.328167 + 0.353680i −0.875485 0.483244i \(-0.839458\pi\)
0.547318 + 0.836925i \(0.315649\pi\)
\(614\) 16.3303 + 27.6671i 0.659035 + 1.11655i
\(615\) 1.09394 0.526815i 0.0441120 0.0212432i
\(616\) 11.6226 25.9138i 0.468288 1.04409i
\(617\) 29.9935 + 14.4441i 1.20749 + 0.581498i 0.925803 0.378008i \(-0.123391\pi\)
0.281690 + 0.959505i \(0.409105\pi\)
\(618\) 0.761792 + 9.00303i 0.0306438 + 0.362155i
\(619\) −14.8729 8.58686i −0.597791 0.345135i 0.170381 0.985378i \(-0.445500\pi\)
−0.768172 + 0.640243i \(0.778834\pi\)
\(620\) −1.70982 + 5.94674i −0.0686682 + 0.238827i
\(621\) 6.95464 46.1410i 0.279080 1.85158i
\(622\) 24.2023 + 18.9229i 0.970424 + 0.758739i
\(623\) −12.0458 + 12.9392i −0.482606 + 0.518398i
\(624\) −19.0170 + 0.731693i −0.761288 + 0.0292912i
\(625\) 1.66363 + 22.1997i 0.0665454 + 0.887986i
\(626\) −7.92139 + 8.70357i −0.316602 + 0.347865i
\(627\) 8.71540 3.42054i 0.348059 0.136603i
\(628\) 0.395423 0.604637i 0.0157791 0.0241277i
\(629\) −4.51951 + 3.60419i −0.180205 + 0.143708i
\(630\) −1.36334 1.44609i −0.0543167 0.0576134i
\(631\) 22.1957 27.8326i 0.883598 1.10800i −0.109877 0.993945i \(-0.535046\pi\)
0.993475 0.114051i \(-0.0363828\pi\)
\(632\) −3.18905 + 26.2803i −0.126854 + 1.04537i
\(633\) 1.57559 21.0248i 0.0626243 0.835663i
\(634\) −2.78144 0.828761i −0.110465 0.0329143i
\(635\) −1.29818 1.39910i −0.0515166 0.0555217i
\(636\) 4.41083 + 5.31794i 0.174901 + 0.210870i
\(637\) 7.46963 23.9338i 0.295958 0.948290i
\(638\) 7.53022 16.0291i 0.298124 0.634597i
\(639\) −13.6767 + 12.6901i −0.541040 + 0.502012i
\(640\) 4.74984 1.04670i 0.187754 0.0413746i
\(641\) 0.849350 11.3338i 0.0335473 0.447658i −0.954986 0.296652i \(-0.904130\pi\)
0.988533 0.151006i \(-0.0482512\pi\)
\(642\) −4.46331 4.71849i −0.176153 0.186224i
\(643\) 31.7997 + 25.3594i 1.25406 + 1.00008i 0.999454 + 0.0330314i \(0.0105161\pi\)
0.254603 + 0.967046i \(0.418055\pi\)
\(644\) −37.6153 + 22.6075i −1.48225 + 0.890861i
\(645\) 3.15392 2.51517i 0.124185 0.0990346i
\(646\) 15.3646 + 2.16499i 0.604514 + 0.0851803i
\(647\) 0.409193 + 1.04261i 0.0160870 + 0.0409891i 0.938692 0.344758i \(-0.112039\pi\)
−0.922605 + 0.385747i \(0.873944\pi\)
\(648\) 10.6430 + 0.489467i 0.418096 + 0.0192281i
\(649\) −2.96926 39.6220i −0.116554 1.55530i
\(650\) 5.19857 23.8302i 0.203905 0.934699i
\(651\) 25.0156 3.72807i 0.980440 0.146115i
\(652\) −8.20193 16.2258i −0.321213 0.635452i
\(653\) −5.58715 + 37.0683i −0.218642 + 1.45059i 0.562788 + 0.826601i \(0.309729\pi\)
−0.781430 + 0.623993i \(0.785509\pi\)
\(654\) 2.64991 + 16.5028i 0.103620 + 0.645312i
\(655\) 2.28604 3.95954i 0.0893229 0.154712i
\(656\) −8.02462 + 2.81746i −0.313309 + 0.110003i
\(657\) 8.74174 + 4.20980i 0.341048 + 0.164240i
\(658\) −5.16384 + 0.0410812i −0.201308 + 0.00160151i
\(659\) 1.65112 + 3.42858i 0.0643184 + 0.133558i 0.930650 0.365911i \(-0.119243\pi\)
−0.866331 + 0.499470i \(0.833528\pi\)
\(660\) 4.31541 0.406970i 0.167977 0.0158413i
\(661\) 6.41977 6.91887i 0.249700 0.269113i −0.595747 0.803172i \(-0.703144\pi\)
0.845447 + 0.534060i \(0.179334\pi\)
\(662\) 10.9095 + 27.0299i 0.424009 + 1.05055i
\(663\) −23.2237 15.8337i −0.901935 0.614929i
\(664\) −30.9660 36.6122i −1.20171 1.42083i
\(665\) −1.65371 + 1.31431i −0.0641282 + 0.0509667i
\(666\) −1.07879 1.32640i −0.0418024 0.0513970i
\(667\) −23.6996 + 13.6830i −0.917653 + 0.529807i
\(668\) −19.6123 + 3.34292i −0.758821 + 0.129341i
\(669\) 11.5658 + 16.9639i 0.447161 + 0.655864i
\(670\) −4.47456 + 6.70048i −0.172867 + 0.258862i
\(671\) −8.34345 + 36.5550i −0.322095 + 1.41119i
\(672\) −11.9492 15.8889i −0.460951 0.612927i
\(673\) 0.897575 + 3.93253i 0.0345990 + 0.151588i 0.989277 0.146053i \(-0.0466572\pi\)
−0.954678 + 0.297641i \(0.903800\pi\)
\(674\) −16.2526 6.19902i −0.626026 0.238777i
\(675\) −7.98526 + 25.8876i −0.307353 + 0.996413i
\(676\) 0.165290 0.299443i 0.00635730 0.0115170i
\(677\) 12.4776 + 40.4515i 0.479554 + 1.55468i 0.795533 + 0.605910i \(0.207191\pi\)
−0.315979 + 0.948766i \(0.602333\pi\)
\(678\) 0.978140 + 4.10326i 0.0375652 + 0.157585i
\(679\) −27.3683 + 15.7406i −1.05030 + 0.604070i
\(680\) 6.55936 + 2.92889i 0.251540 + 0.112318i
\(681\) −10.9625 + 27.9321i −0.420085 + 1.07036i
\(682\) 18.9904 33.6351i 0.727181 1.28795i
\(683\) 3.50102 + 23.2277i 0.133963 + 0.888784i 0.950328 + 0.311249i \(0.100747\pi\)
−0.816366 + 0.577535i \(0.804015\pi\)
\(684\) −0.596608 + 4.55027i −0.0228119 + 0.173984i
\(685\) 6.97574i 0.266529i
\(686\) 24.9919 7.83610i 0.954196 0.299184i
\(687\) −13.5957 −0.518709
\(688\) −23.9096 + 15.0587i −0.911547 + 0.574107i
\(689\) 9.21094 1.38833i 0.350909 0.0528910i
\(690\) −5.83254 3.29306i −0.222041 0.125365i
\(691\) 0.916013 + 0.359509i 0.0348468 + 0.0136764i 0.382700 0.923873i \(-0.374994\pi\)
−0.347854 + 0.937549i \(0.613089\pi\)
\(692\) −0.317116 16.4900i −0.0120550 0.626857i
\(693\) 6.18531 + 10.7544i 0.234960 + 0.408527i
\(694\) −8.31968 34.9007i −0.315811 1.32481i
\(695\) −2.41664 + 0.745435i −0.0916685 + 0.0282760i
\(696\) −7.27588 10.0371i −0.275792 0.380456i
\(697\) −12.0031 3.70248i −0.454651 0.140241i
\(698\) 11.2842 29.5850i 0.427115 1.11981i
\(699\) 13.8982 3.17217i 0.525678 0.119983i
\(700\) 23.5510 9.72399i 0.890146 0.367532i
\(701\) −13.7018 3.12735i −0.517511 0.118119i −0.0442151 0.999022i \(-0.514079\pi\)
−0.473296 + 0.880904i \(0.656936\pi\)
\(702\) 15.8268 23.7000i 0.597344 0.894500i
\(703\) −1.50146 + 1.02367i −0.0566284 + 0.0386086i
\(704\) −30.3573 0.519604i −1.14413 0.0195833i
\(705\) −0.394067 0.682545i −0.0148414 0.0257061i
\(706\) −3.75764 + 3.05618i −0.141421 + 0.115021i
\(707\) −16.6685 20.9730i −0.626885 0.788770i
\(708\) −25.2863 11.5837i −0.950317 0.435341i
\(709\) −24.5583 + 36.0204i −0.922306 + 1.35277i 0.0133683 + 0.999911i \(0.495745\pi\)
−0.935675 + 0.352864i \(0.885208\pi\)
\(710\) 3.43610 + 8.51344i 0.128954 + 0.319504i
\(711\) −8.47715 7.86564i −0.317918 0.294985i
\(712\) 17.7843 + 6.39435i 0.666497 + 0.239638i
\(713\) −53.7757 + 25.8970i −2.01392 + 0.969851i
\(714\) −0.233588 29.3617i −0.00874181 1.09883i
\(715\) 2.53558 5.26519i 0.0948254 0.196907i
\(716\) −12.1655 4.50664i −0.454646 0.168421i
\(717\) 28.0550 + 16.1976i 1.04773 + 0.604910i
\(718\) −0.418038 2.60342i −0.0156011 0.0971587i
\(719\) 11.1691 + 1.68347i 0.416536 + 0.0627827i 0.353967 0.935258i \(-0.384833\pi\)
0.0625690 + 0.998041i \(0.480071\pi\)
\(720\) −0.847570 + 1.94827i −0.0315871 + 0.0726076i
\(721\) 1.87572 + 12.5862i 0.0698555 + 0.468735i
\(722\) −21.4870 4.68739i −0.799662 0.174446i
\(723\) −31.6568 + 2.37235i −1.17733 + 0.0882286i
\(724\) 35.7452 14.8283i 1.32846 0.551090i
\(725\) 14.7899 5.80459i 0.549281 0.215577i
\(726\) −6.33147 0.892149i −0.234983 0.0331107i
\(727\) −24.9347 31.2671i −0.924775 1.15963i −0.986863 0.161561i \(-0.948347\pi\)
0.0620874 0.998071i \(-0.480224\pi\)
\(728\) −26.6641 + 2.72877i −0.988239 + 0.101135i
\(729\) −16.8806 + 21.1676i −0.625208 + 0.783987i
\(730\) 3.46850 3.28092i 0.128375 0.121432i
\(731\) −41.6167 3.11874i −1.53925 0.115351i
\(732\) 19.5799 + 17.4790i 0.723692 + 0.646043i
\(733\) 3.51634 + 3.78971i 0.129879 + 0.139976i 0.794643 0.607077i \(-0.207658\pi\)
−0.664764 + 0.747054i \(0.731468\pi\)
\(734\) 7.98109 16.9888i 0.294587 0.627069i
\(735\) 2.92125 + 2.72862i 0.107752 + 0.100647i
\(736\) 38.0441 + 27.4556i 1.40232 + 1.01203i
\(737\) 36.8696 34.2100i 1.35811 1.26014i
\(738\) 1.06088 3.56047i 0.0390515 0.131063i
\(739\) −10.1438 0.760170i −0.373144 0.0279633i −0.113162 0.993577i \(-0.536098\pi\)
−0.259983 + 0.965613i \(0.583717\pi\)
\(740\) −0.799015 + 0.263392i −0.0293724 + 0.00968246i
\(741\) −6.90826 5.50915i −0.253781 0.202384i
\(742\) 6.67518 + 7.08033i 0.245054 + 0.259927i
\(743\) 17.2959 + 21.6883i 0.634524 + 0.795667i 0.990306 0.138901i \(-0.0443571\pi\)
−0.355783 + 0.934569i \(0.615786\pi\)
\(744\) −14.1887 23.0161i −0.520184 0.843812i
\(745\) −3.77940 9.62975i −0.138466 0.352807i
\(746\) 9.72352 + 8.84968i 0.356004 + 0.324010i
\(747\) 20.8880 1.56534i 0.764251 0.0572727i
\(748\) −35.5905 27.2797i −1.30132 0.997443i
\(749\) −6.69535 6.23308i −0.244643 0.227752i
\(750\) 6.24455 + 4.88239i 0.228019 + 0.178280i
\(751\) −9.97837 1.50400i −0.364116 0.0548817i −0.0355636 0.999367i \(-0.511323\pi\)
−0.328552 + 0.944486i \(0.606561\pi\)
\(752\) 2.21297 + 5.05760i 0.0806988 + 0.184432i
\(753\) −0.639402 + 1.10748i −0.0233011 + 0.0403587i
\(754\) −16.6541 + 1.40919i −0.606508 + 0.0513197i
\(755\) 0.0290564 0.0603362i 0.00105747 0.00219586i
\(756\) 29.7664 0.523037i 1.08259 0.0190227i
\(757\) 8.90065 + 18.4824i 0.323500 + 0.671754i 0.997771 0.0667296i \(-0.0212565\pi\)
−0.674271 + 0.738484i \(0.735542\pi\)
\(758\) −2.53504 4.29493i −0.0920770 0.155999i
\(759\) 30.6499 + 28.4389i 1.11252 + 1.03227i
\(760\) 1.98744 + 1.07225i 0.0720919 + 0.0388945i
\(761\) −26.8259 18.2896i −0.972439 0.662997i −0.0307655 0.999527i \(-0.509795\pi\)
−0.941673 + 0.336529i \(0.890747\pi\)
\(762\) 8.33959 0.0801810i 0.302111 0.00290465i
\(763\) 5.20016 + 22.9589i 0.188258 + 0.831166i
\(764\) −1.37983 5.55119i −0.0499206 0.200835i
\(765\) −2.71757 + 1.56899i −0.0982541 + 0.0567270i
\(766\) −12.2548 17.6084i −0.442785 0.636217i
\(767\) −30.9826 + 21.1235i −1.11872 + 0.762727i
\(768\) −10.5877 + 18.4283i −0.382051 + 0.664975i
\(769\) 12.0377 52.7406i 0.434090 1.90187i 0.00209716 0.999998i \(-0.499332\pi\)
0.431993 0.901877i \(-0.357810\pi\)
\(770\) 6.02920 0.957870i 0.217277 0.0345192i
\(771\) 5.47860 1.25046i 0.197307 0.0450341i
\(772\) 15.2619 14.7171i 0.549288 0.529680i