Properties

Label 483.2.y.a.193.15
Level $483$
Weight $2$
Character 483.193
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 193.15
Character \(\chi\) \(=\) 483.193
Dual form 483.2.y.a.478.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.71111 + 1.63154i) q^{2} +(-0.981929 + 0.189251i) q^{3} +(0.170812 + 3.58578i) q^{4} +(2.82540 - 2.22192i) q^{5} +(-1.98896 - 1.27823i) q^{6} +(-1.76234 + 1.97336i) q^{7} +(-2.46152 + 2.84074i) q^{8} +(0.928368 - 0.371662i) q^{9} +O(q^{10})\) \(q+(1.71111 + 1.63154i) q^{2} +(-0.981929 + 0.189251i) q^{3} +(0.170812 + 3.58578i) q^{4} +(2.82540 - 2.22192i) q^{5} +(-1.98896 - 1.27823i) q^{6} +(-1.76234 + 1.97336i) q^{7} +(-2.46152 + 2.84074i) q^{8} +(0.928368 - 0.371662i) q^{9} +(8.45975 + 0.807808i) q^{10} +(-3.32800 + 3.17324i) q^{11} +(-0.846338 - 3.48865i) q^{12} +(2.20273 + 4.82330i) q^{13} +(-6.23519 + 0.501319i) q^{14} +(-2.35384 + 2.71648i) q^{15} +(-1.69956 + 0.162288i) q^{16} +(1.26200 - 0.650608i) q^{17} +(2.19493 + 0.878716i) q^{18} +(4.64926 + 2.39686i) q^{19} +(8.44993 + 9.75174i) q^{20} +(1.35703 - 2.27123i) q^{21} -10.8719 q^{22} +(1.87717 - 4.41319i) q^{23} +(1.87942 - 3.25525i) q^{24} +(1.86717 - 7.69659i) q^{25} +(-4.10031 + 11.8471i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(-7.37707 - 5.98228i) q^{28} +(-4.42458 - 2.84350i) q^{29} +(-8.45975 + 0.807808i) q^{30} +(-1.56243 - 4.51434i) q^{31} +(2.73638 + 2.15192i) q^{32} +(2.66732 - 3.74572i) q^{33} +(3.22093 + 0.945750i) q^{34} +(-0.594654 + 9.49132i) q^{35} +(1.49127 + 3.26544i) q^{36} +(0.228280 - 0.0913894i) q^{37} +(4.04483 + 11.6868i) q^{38} +(-3.07574 - 4.31927i) q^{39} +(-0.642872 + 13.4955i) q^{40} +(-0.958375 - 6.66564i) q^{41} +(6.02764 - 1.67228i) q^{42} +(-7.20513 - 8.31516i) q^{43} +(-11.9470 - 11.3914i) q^{44} +(1.79721 - 3.11286i) q^{45} +(10.4124 - 4.48879i) q^{46} +(-3.98690 - 6.90551i) q^{47} +(1.63813 - 0.480999i) q^{48} +(-0.788332 - 6.95547i) q^{49} +(15.7523 - 10.1234i) q^{50} +(-1.11607 + 0.877687i) q^{51} +(-16.9190 + 8.72237i) q^{52} +(-2.49638 - 3.50568i) q^{53} +(-2.32156 - 0.447444i) q^{54} +(-2.35224 + 16.3602i) q^{55} +(-1.26779 - 9.86382i) q^{56} +(-5.01885 - 1.47367i) q^{57} +(-2.93166 - 12.0845i) q^{58} +(-0.392309 - 0.0374610i) q^{59} +(-10.1428 - 7.97635i) q^{60} +(11.3235 + 2.18242i) q^{61} +(4.69185 - 10.2737i) q^{62} +(-0.902672 + 2.48700i) q^{63} +(1.65726 + 11.5265i) q^{64} +(16.9406 + 8.73348i) q^{65} +(10.6754 - 2.05751i) q^{66} +(-3.06122 + 12.6185i) q^{67} +(2.54850 + 4.41413i) q^{68} +(-1.00804 + 4.68869i) q^{69} +(-16.5030 + 15.2705i) q^{70} +(11.3509 - 3.33294i) q^{71} +(-1.22940 + 3.55211i) q^{72} +(-0.447036 - 9.38445i) q^{73} +(0.539718 + 0.216070i) q^{74} +(-0.376841 + 7.91087i) q^{75} +(-7.80046 + 17.0806i) q^{76} +(-0.396901 - 12.1597i) q^{77} +(1.78414 - 12.4090i) q^{78} +(-4.84356 + 6.80183i) q^{79} +(-4.44134 + 4.23481i) q^{80} +(0.723734 - 0.690079i) q^{81} +(9.23540 - 12.9693i) q^{82} +(-0.423696 + 2.94687i) q^{83} +(8.37591 + 4.47805i) q^{84} +(2.12007 - 4.64231i) q^{85} +(1.23775 - 25.9837i) q^{86} +(4.88276 + 1.95476i) q^{87} +(-0.822432 - 17.2650i) q^{88} +(-1.06086 + 3.06514i) q^{89} +(8.15399 - 2.39423i) q^{90} +(-13.4001 - 4.15350i) q^{91} +(16.1454 + 5.97728i) q^{92} +(2.38854 + 4.13707i) q^{93} +(4.44460 - 18.3209i) q^{94} +(18.4617 - 3.55820i) q^{95} +(-3.09419 - 1.59516i) q^{96} +(0.806657 + 5.61042i) q^{97} +(9.99922 - 13.1878i) q^{98} +(-1.91023 + 4.18282i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.71111 + 1.63154i 1.20994 + 1.15368i 0.983741 + 0.179594i \(0.0574785\pi\)
0.226199 + 0.974081i \(0.427370\pi\)
\(3\) −0.981929 + 0.189251i −0.566917 + 0.109264i
\(4\) 0.170812 + 3.58578i 0.0854058 + 1.79289i
\(5\) 2.82540 2.22192i 1.26356 0.993673i 0.263983 0.964527i \(-0.414964\pi\)
0.999575 0.0291463i \(-0.00927887\pi\)
\(6\) −1.98896 1.27823i −0.811991 0.521835i
\(7\) −1.76234 + 1.97336i −0.666101 + 0.745862i
\(8\) −2.46152 + 2.84074i −0.870278 + 1.00435i
\(9\) 0.928368 0.371662i 0.309456 0.123887i
\(10\) 8.45975 + 0.807808i 2.67521 + 0.255451i
\(11\) −3.32800 + 3.17324i −1.00343 + 0.956767i −0.999065 0.0432232i \(-0.986237\pi\)
−0.00436318 + 0.999990i \(0.501389\pi\)
\(12\) −0.846338 3.48865i −0.244317 1.00709i
\(13\) 2.20273 + 4.82330i 0.610927 + 1.33774i 0.921938 + 0.387337i \(0.126605\pi\)
−0.311011 + 0.950406i \(0.600668\pi\)
\(14\) −6.23519 + 0.501319i −1.66642 + 0.133983i
\(15\) −2.35384 + 2.71648i −0.607760 + 0.701392i
\(16\) −1.69956 + 0.162288i −0.424889 + 0.0405720i
\(17\) 1.26200 0.650608i 0.306081 0.157796i −0.298343 0.954459i \(-0.596434\pi\)
0.604424 + 0.796663i \(0.293403\pi\)
\(18\) 2.19493 + 0.878716i 0.517349 + 0.207115i
\(19\) 4.64926 + 2.39686i 1.06661 + 0.549878i 0.899886 0.436125i \(-0.143650\pi\)
0.166728 + 0.986003i \(0.446680\pi\)
\(20\) 8.44993 + 9.75174i 1.88946 + 2.18055i
\(21\) 1.35703 2.27123i 0.296128 0.495622i
\(22\) −10.8719 −2.31789
\(23\) 1.87717 4.41319i 0.391417 0.920214i
\(24\) 1.87942 3.25525i 0.383635 0.664476i
\(25\) 1.86717 7.69659i 0.373434 1.53932i
\(26\) −4.10031 + 11.8471i −0.804137 + 2.32340i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) −7.37707 5.98228i −1.39414 1.13054i
\(29\) −4.42458 2.84350i −0.821624 0.528026i 0.0609823 0.998139i \(-0.480577\pi\)
−0.882606 + 0.470113i \(0.844213\pi\)
\(30\) −8.45975 + 0.807808i −1.54453 + 0.147485i
\(31\) −1.56243 4.51434i −0.280620 0.810799i −0.993936 0.109957i \(-0.964929\pi\)
0.713316 0.700843i \(-0.247192\pi\)
\(32\) 2.73638 + 2.15192i 0.483729 + 0.380409i
\(33\) 2.66732 3.74572i 0.464320 0.652046i
\(34\) 3.22093 + 0.945750i 0.552385 + 0.162195i
\(35\) −0.594654 + 9.49132i −0.100515 + 1.60433i
\(36\) 1.49127 + 3.26544i 0.248546 + 0.544239i
\(37\) 0.228280 0.0913894i 0.0375289 0.0150243i −0.352822 0.935690i \(-0.614778\pi\)
0.390351 + 0.920666i \(0.372354\pi\)
\(38\) 4.04483 + 11.6868i 0.656158 + 1.89584i
\(39\) −3.07574 4.31927i −0.492512 0.691637i
\(40\) −0.642872 + 13.4955i −0.101647 + 2.13383i
\(41\) −0.958375 6.66564i −0.149673 1.04100i −0.916755 0.399450i \(-0.869201\pi\)
0.767082 0.641549i \(-0.221708\pi\)
\(42\) 6.02764 1.67228i 0.930084 0.258038i
\(43\) −7.20513 8.31516i −1.09877 1.26805i −0.960688 0.277630i \(-0.910451\pi\)
−0.138084 0.990421i \(-0.544094\pi\)
\(44\) −11.9470 11.3914i −1.80108 1.71732i
\(45\) 1.79721 3.11286i 0.267912 0.464037i
\(46\) 10.4124 4.48879i 1.53522 0.661835i
\(47\) −3.98690 6.90551i −0.581549 1.00727i −0.995296 0.0968804i \(-0.969114\pi\)
0.413747 0.910392i \(-0.364220\pi\)
\(48\) 1.63813 0.480999i 0.236444 0.0694262i
\(49\) −0.788332 6.95547i −0.112619 0.993638i
\(50\) 15.7523 10.1234i 2.22771 1.43166i
\(51\) −1.11607 + 0.877687i −0.156281 + 0.122901i
\(52\) −16.9190 + 8.72237i −2.34625 + 1.20957i
\(53\) −2.49638 3.50568i −0.342905 0.481542i 0.606727 0.794910i \(-0.292482\pi\)
−0.949632 + 0.313368i \(0.898543\pi\)
\(54\) −2.32156 0.447444i −0.315924 0.0608894i
\(55\) −2.35224 + 16.3602i −0.317177 + 2.20601i
\(56\) −1.26779 9.86382i −0.169416 1.31811i
\(57\) −5.01885 1.47367i −0.664763 0.195192i
\(58\) −2.93166 12.0845i −0.384945 1.58677i
\(59\) −0.392309 0.0374610i −0.0510743 0.00487701i 0.0694876 0.997583i \(-0.477864\pi\)
−0.120562 + 0.992706i \(0.538470\pi\)
\(60\) −10.1428 7.97635i −1.30942 1.02974i
\(61\) 11.3235 + 2.18242i 1.44982 + 0.279430i 0.852565 0.522621i \(-0.175046\pi\)
0.597256 + 0.802051i \(0.296258\pi\)
\(62\) 4.69185 10.2737i 0.595866 1.30476i
\(63\) −0.902672 + 2.48700i −0.113726 + 0.313333i
\(64\) 1.65726 + 11.5265i 0.207158 + 1.44082i
\(65\) 16.9406 + 8.73348i 2.10122 + 1.08326i
\(66\) 10.6754 2.05751i 1.31405 0.253262i
\(67\) −3.06122 + 12.6185i −0.373987 + 1.54160i 0.404858 + 0.914380i \(0.367321\pi\)
−0.778845 + 0.627216i \(0.784194\pi\)
\(68\) 2.54850 + 4.41413i 0.309051 + 0.535292i
\(69\) −1.00804 + 4.68869i −0.121354 + 0.564452i
\(70\) −16.5030 + 15.2705i −1.97249 + 1.82518i
\(71\) 11.3509 3.33294i 1.34711 0.395547i 0.472908 0.881112i \(-0.343204\pi\)
0.874201 + 0.485565i \(0.161386\pi\)
\(72\) −1.22940 + 3.55211i −0.144886 + 0.418620i
\(73\) −0.447036 9.38445i −0.0523216 1.09837i −0.860507 0.509438i \(-0.829853\pi\)
0.808185 0.588928i \(-0.200450\pi\)
\(74\) 0.539718 + 0.216070i 0.0627409 + 0.0251177i
\(75\) −0.376841 + 7.91087i −0.0435139 + 0.913468i
\(76\) −7.80046 + 17.0806i −0.894774 + 1.95928i
\(77\) −0.396901 12.1597i −0.0452310 1.38572i
\(78\) 1.78414 12.4090i 0.202014 1.40504i
\(79\) −4.84356 + 6.80183i −0.544943 + 0.765266i −0.991586 0.129446i \(-0.958680\pi\)
0.446643 + 0.894712i \(0.352619\pi\)
\(80\) −4.44134 + 4.23481i −0.496557 + 0.473466i
\(81\) 0.723734 0.690079i 0.0804149 0.0766754i
\(82\) 9.23540 12.9693i 1.01988 1.43222i
\(83\) −0.423696 + 2.94687i −0.0465067 + 0.323461i 0.953266 + 0.302133i \(0.0976986\pi\)
−0.999773 + 0.0213283i \(0.993210\pi\)
\(84\) 8.37591 + 4.47805i 0.913887 + 0.488595i
\(85\) 2.12007 4.64231i 0.229954 0.503529i
\(86\) 1.23775 25.9837i 0.133471 2.80189i
\(87\) 4.88276 + 1.95476i 0.523487 + 0.209572i
\(88\) −0.822432 17.2650i −0.0876715 1.84045i
\(89\) −1.06086 + 3.06514i −0.112451 + 0.324904i −0.987158 0.159747i \(-0.948932\pi\)
0.874708 + 0.484651i \(0.161053\pi\)
\(90\) 8.15399 2.39423i 0.859506 0.252374i
\(91\) −13.4001 4.15350i −1.40471 0.435405i
\(92\) 16.1454 + 5.97728i 1.68327 + 0.623175i
\(93\) 2.38854 + 4.13707i 0.247680 + 0.428994i
\(94\) 4.44460 18.3209i 0.458426 1.88966i
\(95\) 18.4617 3.55820i 1.89413 0.365063i
\(96\) −3.09419 1.59516i −0.315799 0.162806i
\(97\) 0.806657 + 5.61042i 0.0819036 + 0.569652i 0.988908 + 0.148530i \(0.0474543\pi\)
−0.907004 + 0.421121i \(0.861637\pi\)
\(98\) 9.99922 13.1878i 1.01007 1.33217i
\(99\) −1.91023 + 4.18282i −0.191985 + 0.420390i
\(100\) 27.9172 + 5.38060i 2.79172 + 0.538060i
\(101\) −1.54109 1.21192i −0.153344 0.120591i 0.538539 0.842600i \(-0.318976\pi\)
−0.691883 + 0.722009i \(0.743219\pi\)
\(102\) −3.34171 0.319094i −0.330878 0.0315950i
\(103\) 1.68767 + 6.95666i 0.166291 + 0.685460i 0.992515 + 0.122119i \(0.0389690\pi\)
−0.826225 + 0.563341i \(0.809516\pi\)
\(104\) −19.1238 5.61526i −1.87524 0.550622i
\(105\) −1.21234 9.43234i −0.118312 0.920502i
\(106\) 1.44807 10.0716i 0.140649 0.978238i
\(107\) −3.60801 0.695388i −0.348800 0.0672257i 0.0118424 0.999930i \(-0.496230\pi\)
−0.360642 + 0.932704i \(0.617442\pi\)
\(108\) −2.08231 2.92420i −0.200371 0.281381i
\(109\) −6.20172 + 3.19721i −0.594017 + 0.306237i −0.728896 0.684625i \(-0.759966\pi\)
0.134878 + 0.990862i \(0.456936\pi\)
\(110\) −30.7174 + 24.1564i −2.92879 + 2.30322i
\(111\) −0.206859 + 0.132940i −0.0196342 + 0.0126181i
\(112\) 2.67494 3.63985i 0.252758 0.343934i
\(113\) 2.36154 0.693412i 0.222155 0.0652307i −0.168761 0.985657i \(-0.553976\pi\)
0.390916 + 0.920426i \(0.372158\pi\)
\(114\) −6.18347 10.7101i −0.579135 1.00309i
\(115\) −4.50200 16.6400i −0.419814 1.55168i
\(116\) 9.44040 16.3513i 0.876519 1.51818i
\(117\) 3.83758 + 3.65913i 0.354785 + 0.338286i
\(118\) −0.610167 0.704170i −0.0561704 0.0648241i
\(119\) −0.940190 + 3.63699i −0.0861871 + 0.333402i
\(120\) −1.92279 13.3733i −0.175526 1.22081i
\(121\) 0.482718 10.1335i 0.0438835 0.921228i
\(122\) 15.8150 + 22.2091i 1.43182 + 2.01072i
\(123\) 2.20254 + 6.36381i 0.198596 + 0.573806i
\(124\) 15.9205 6.37362i 1.42971 0.572368i
\(125\) −4.35983 9.54669i −0.389955 0.853882i
\(126\) −5.60223 + 2.78279i −0.499086 + 0.247911i
\(127\) −16.7512 4.91861i −1.48643 0.436456i −0.565031 0.825070i \(-0.691136\pi\)
−0.921401 + 0.388614i \(0.872954\pi\)
\(128\) −11.9317 + 16.7557i −1.05462 + 1.48101i
\(129\) 8.64858 + 6.80132i 0.761465 + 0.598823i
\(130\) 14.7382 + 42.5833i 1.29263 + 3.73480i
\(131\) 11.4454 1.09291i 0.999993 0.0954878i 0.417801 0.908539i \(-0.362801\pi\)
0.582192 + 0.813051i \(0.302195\pi\)
\(132\) 13.8869 + 8.92459i 1.20870 + 0.776786i
\(133\) −12.9234 + 4.95061i −1.12060 + 0.429272i
\(134\) −25.8257 + 16.5972i −2.23100 + 1.43378i
\(135\) −1.17562 + 3.39673i −0.101181 + 0.292344i
\(136\) −1.25823 + 5.18651i −0.107893 + 0.444740i
\(137\) −1.69472 + 2.93534i −0.144790 + 0.250783i −0.929294 0.369340i \(-0.879584\pi\)
0.784505 + 0.620123i \(0.212917\pi\)
\(138\) −9.37468 + 6.37822i −0.798026 + 0.542950i
\(139\) 9.14918 0.776023 0.388012 0.921655i \(-0.373162\pi\)
0.388012 + 0.921655i \(0.373162\pi\)
\(140\) −34.1353 0.511069i −2.88496 0.0431932i
\(141\) 5.22173 + 6.02619i 0.439749 + 0.507497i
\(142\) 24.8606 + 12.8165i 2.08625 + 1.07554i
\(143\) −22.6362 9.06215i −1.89293 0.757815i
\(144\) −1.51750 + 0.782325i −0.126458 + 0.0651937i
\(145\) −18.8193 + 1.79702i −1.56285 + 0.149235i
\(146\) 14.5462 16.7872i 1.20385 1.38932i
\(147\) 2.09042 + 6.68058i 0.172415 + 0.551005i
\(148\) 0.366695 + 0.802949i 0.0301421 + 0.0660020i
\(149\) −0.628845 2.59214i −0.0515170 0.212356i 0.940235 0.340526i \(-0.110605\pi\)
−0.991752 + 0.128170i \(0.959090\pi\)
\(150\) −13.5517 + 12.9216i −1.10649 + 1.05504i
\(151\) −19.0879 1.82268i −1.55335 0.148327i −0.717218 0.696849i \(-0.754585\pi\)
−0.836136 + 0.548522i \(0.815191\pi\)
\(152\) −18.2531 + 7.30744i −1.48052 + 0.592712i
\(153\) 0.929798 1.07304i 0.0751697 0.0867504i
\(154\) 19.1599 21.4541i 1.54395 1.72882i
\(155\) −14.4450 9.28324i −1.16025 0.745648i
\(156\) 14.9626 11.7667i 1.19796 0.942089i
\(157\) 0.655682 + 13.7645i 0.0523292 + 1.09852i 0.860459 + 0.509520i \(0.170177\pi\)
−0.808130 + 0.589004i \(0.799520\pi\)
\(158\) −19.3854 + 3.73622i −1.54222 + 0.297238i
\(159\) 3.11473 + 2.96988i 0.247014 + 0.235527i
\(160\) 12.5128 0.989222
\(161\) 5.40063 + 11.4819i 0.425629 + 0.904898i
\(162\) 2.36428 0.185756
\(163\) 2.56494 + 2.44567i 0.200902 + 0.191559i 0.783851 0.620949i \(-0.213253\pi\)
−0.582949 + 0.812509i \(0.698101\pi\)
\(164\) 23.7378 4.57509i 1.85361 0.357254i
\(165\) −0.786456 16.5097i −0.0612255 1.28528i
\(166\) −5.53294 + 4.35115i −0.429440 + 0.337715i
\(167\) 12.0436 + 7.73998i 0.931965 + 0.598938i 0.916106 0.400936i \(-0.131315\pi\)
0.0158595 + 0.999874i \(0.494952\pi\)
\(168\) 3.11162 + 9.44564i 0.240067 + 0.728747i
\(169\) −9.89904 + 11.4241i −0.761464 + 0.878777i
\(170\) 11.2018 4.48453i 0.859139 0.343947i
\(171\) 5.20705 + 0.497213i 0.398193 + 0.0380228i
\(172\) 28.5856 27.2563i 2.17963 2.07827i
\(173\) −1.35859 5.60017i −0.103291 0.425773i 0.896562 0.442919i \(-0.146057\pi\)
−0.999853 + 0.0171461i \(0.994542\pi\)
\(174\) 5.16567 + 11.3113i 0.391609 + 0.857504i
\(175\) 11.8976 + 17.2486i 0.899373 + 1.30387i
\(176\) 5.14114 5.93319i 0.387528 0.447231i
\(177\) 0.392309 0.0374610i 0.0294878 0.00281574i
\(178\) −6.81616 + 3.51397i −0.510893 + 0.263383i
\(179\) −7.72182 3.09135i −0.577156 0.231058i 0.0646727 0.997907i \(-0.479400\pi\)
−0.641829 + 0.766848i \(0.721824\pi\)
\(180\) 11.4690 + 5.91268i 0.854848 + 0.440705i
\(181\) −2.45428 2.83239i −0.182425 0.210530i 0.657170 0.753742i \(-0.271753\pi\)
−0.839595 + 0.543212i \(0.817208\pi\)
\(182\) −16.1524 28.9699i −1.19730 2.14739i
\(183\) −11.5319 −0.852460
\(184\) 7.91606 + 16.1957i 0.583579 + 1.19396i
\(185\) 0.441922 0.765431i 0.0324907 0.0562756i
\(186\) −2.66275 + 10.9760i −0.195242 + 0.804799i
\(187\) −2.13541 + 6.16986i −0.156157 + 0.451185i
\(188\) 24.0806 15.4757i 1.75626 1.12868i
\(189\) 0.415692 2.61289i 0.0302371 0.190060i
\(190\) 37.3954 + 24.0325i 2.71294 + 1.74350i
\(191\) 5.20166 0.496698i 0.376379 0.0359398i 0.0948474 0.995492i \(-0.469764\pi\)
0.281531 + 0.959552i \(0.409158\pi\)
\(192\) −3.80872 11.0046i −0.274871 0.794187i
\(193\) 4.20486 + 3.30674i 0.302672 + 0.238024i 0.757930 0.652335i \(-0.226211\pi\)
−0.455258 + 0.890359i \(0.650453\pi\)
\(194\) −7.77336 + 10.9162i −0.558095 + 0.783735i
\(195\) −18.2873 5.36963i −1.30958 0.384527i
\(196\) 24.8061 4.01486i 1.77186 0.286775i
\(197\) 2.53269 + 5.54583i 0.180447 + 0.395124i 0.978142 0.207937i \(-0.0666749\pi\)
−0.797695 + 0.603061i \(0.793948\pi\)
\(198\) −10.0931 + 4.04066i −0.717284 + 0.287157i
\(199\) −4.19566 12.1226i −0.297423 0.859347i −0.990381 0.138369i \(-0.955814\pi\)
0.692958 0.720978i \(-0.256307\pi\)
\(200\) 17.2680 + 24.2495i 1.22103 + 1.71470i
\(201\) 0.617828 12.9698i 0.0435783 0.914820i
\(202\) −0.659667 4.58809i −0.0464140 0.322817i
\(203\) 13.4089 3.72009i 0.941118 0.261099i
\(204\) −3.33783 3.85206i −0.233695 0.269698i
\(205\) −17.5183 16.7037i −1.22353 1.16664i
\(206\) −8.46230 + 14.6571i −0.589596 + 1.02121i
\(207\) 0.102486 4.79474i 0.00712326 0.333257i
\(208\) −4.52643 7.84000i −0.313851 0.543606i
\(209\) −23.0785 + 6.77647i −1.59638 + 0.468738i
\(210\) 13.3148 18.1178i 0.918811 1.25025i
\(211\) 20.8078 13.3724i 1.43247 0.920592i 0.432651 0.901562i \(-0.357578\pi\)
0.999819 0.0190307i \(-0.00605803\pi\)
\(212\) 12.1442 9.55029i 0.834066 0.655916i
\(213\) −10.5151 + 5.42089i −0.720479 + 0.371433i
\(214\) −5.03917 7.07652i −0.344470 0.483741i
\(215\) −38.8330 7.48446i −2.64839 0.510436i
\(216\) 0.534939 3.72058i 0.0363980 0.253154i
\(217\) 11.6620 + 4.87255i 0.791666 + 0.330770i
\(218\) −15.8282 4.64759i −1.07202 0.314775i
\(219\) 2.21498 + 9.13026i 0.149674 + 0.616966i
\(220\) −59.0659 5.64011i −3.98222 0.380256i
\(221\) 5.91793 + 4.65391i 0.398083 + 0.313056i
\(222\) −0.570856 0.110024i −0.0383134 0.00738429i
\(223\) 1.00754 2.20621i 0.0674701 0.147739i −0.872893 0.487912i \(-0.837759\pi\)
0.940363 + 0.340174i \(0.110486\pi\)
\(224\) −9.06895 + 1.60748i −0.605945 + 0.107404i
\(225\) −1.12711 7.83922i −0.0751407 0.522615i
\(226\) 5.17220 + 2.66646i 0.344050 + 0.177370i
\(227\) 24.7977 4.77936i 1.64588 0.317217i 0.719696 0.694289i \(-0.244281\pi\)
0.926184 + 0.377072i \(0.123069\pi\)
\(228\) 4.42697 18.2482i 0.293183 1.20852i
\(229\) −12.2560 21.2280i −0.809899 1.40279i −0.912933 0.408109i \(-0.866188\pi\)
0.103034 0.994678i \(-0.467145\pi\)
\(230\) 19.4454 35.8181i 1.28219 2.36177i
\(231\) 2.69096 + 11.8648i 0.177052 + 0.780647i
\(232\) 18.9688 5.56976i 1.24537 0.365672i
\(233\) −3.80538 + 10.9949i −0.249299 + 0.720301i 0.749032 + 0.662534i \(0.230519\pi\)
−0.998330 + 0.0577666i \(0.981602\pi\)
\(234\) 0.596514 + 12.5224i 0.0389953 + 0.818613i
\(235\) −26.6081 10.6523i −1.73572 0.694878i
\(236\) 0.0673158 1.41313i 0.00438189 0.0919871i
\(237\) 3.46878 7.59557i 0.225321 0.493385i
\(238\) −7.54267 + 4.68933i −0.488919 + 0.303964i
\(239\) −0.225509 + 1.56845i −0.0145870 + 0.101455i −0.995814 0.0914005i \(-0.970866\pi\)
0.981227 + 0.192855i \(0.0617748\pi\)
\(240\) 3.55964 4.99881i 0.229774 0.322672i
\(241\) −4.88511 + 4.65795i −0.314678 + 0.300045i −0.830913 0.556402i \(-0.812181\pi\)
0.516235 + 0.856447i \(0.327333\pi\)
\(242\) 17.3592 16.5520i 1.11589 1.06400i
\(243\) −0.580057 + 0.814576i −0.0372107 + 0.0522551i
\(244\) −5.89149 + 40.9762i −0.377164 + 2.62323i
\(245\) −17.6819 17.9004i −1.12965 1.14361i
\(246\) −6.61405 + 14.4827i −0.421696 + 0.923386i
\(247\) −1.31972 + 27.7044i −0.0839720 + 1.76279i
\(248\) 16.6700 + 6.67367i 1.05855 + 0.423779i
\(249\) −0.141660 2.97380i −0.00897732 0.188457i
\(250\) 8.11568 23.4487i 0.513281 1.48303i
\(251\) 14.2795 4.19285i 0.901316 0.264650i 0.201934 0.979399i \(-0.435277\pi\)
0.699381 + 0.714749i \(0.253459\pi\)
\(252\) −9.07202 2.81197i −0.571484 0.177138i
\(253\) 7.75689 + 20.6438i 0.487672 + 1.29786i
\(254\) −20.6383 35.7467i −1.29496 2.24294i
\(255\) −1.20320 + 4.95964i −0.0753470 + 0.310585i
\(256\) −24.8850 + 4.79619i −1.55531 + 0.299762i
\(257\) −1.28096 0.660381i −0.0799041 0.0411934i 0.417811 0.908534i \(-0.362797\pi\)
−0.497715 + 0.867340i \(0.665828\pi\)
\(258\) 3.70206 + 25.7484i 0.230480 + 1.60302i
\(259\) −0.221961 + 0.611538i −0.0137920 + 0.0379991i
\(260\) −28.4227 + 62.2370i −1.76270 + 3.85977i
\(261\) −5.16446 0.995368i −0.319672 0.0616118i
\(262\) 21.3676 + 16.8037i 1.32009 + 1.03813i
\(263\) 1.25500 + 0.119838i 0.0773864 + 0.00738950i 0.133677 0.991025i \(-0.457321\pi\)
−0.0562910 + 0.998414i \(0.517927\pi\)
\(264\) 4.07499 + 16.7973i 0.250798 + 1.03380i
\(265\) −14.8426 4.35819i −0.911776 0.267722i
\(266\) −30.1906 12.6141i −1.85111 0.773421i
\(267\) 0.461603 3.21052i 0.0282496 0.196481i
\(268\) −45.7700 8.82145i −2.79585 0.538856i
\(269\) −3.92622 5.51360i −0.239386 0.336170i 0.677353 0.735659i \(-0.263127\pi\)
−0.916738 + 0.399488i \(0.869188\pi\)
\(270\) −7.55353 + 3.89411i −0.459693 + 0.236988i
\(271\) 13.9031 10.9335i 0.844555 0.664166i −0.0991066 0.995077i \(-0.531598\pi\)
0.943662 + 0.330911i \(0.107356\pi\)
\(272\) −2.03926 + 1.31055i −0.123648 + 0.0794640i
\(273\) 13.9440 + 1.54246i 0.843928 + 0.0933540i
\(274\) −7.68899 + 2.25769i −0.464509 + 0.136392i
\(275\) 18.2092 + 31.5392i 1.09805 + 1.90189i
\(276\) −16.9848 2.81374i −1.02236 0.169367i
\(277\) 10.3645 17.9518i 0.622740 1.07862i −0.366234 0.930523i \(-0.619353\pi\)
0.988973 0.148094i \(-0.0473138\pi\)
\(278\) 15.6553 + 14.9273i 0.938941 + 0.895279i
\(279\) −3.12832 3.61027i −0.187288 0.216141i
\(280\) −25.4987 25.0523i −1.52384 1.49716i
\(281\) 1.84712 + 12.8470i 0.110190 + 0.766387i 0.967734 + 0.251976i \(0.0810804\pi\)
−0.857544 + 0.514411i \(0.828011\pi\)
\(282\) −0.897030 + 18.8310i −0.0534174 + 1.12137i
\(283\) −7.00736 9.84046i −0.416544 0.584955i 0.551985 0.833854i \(-0.313871\pi\)
−0.968529 + 0.248899i \(0.919931\pi\)
\(284\) 13.8900 + 40.1326i 0.824222 + 2.38143i
\(285\) −17.4547 + 6.98779i −1.03392 + 0.413921i
\(286\) −23.9477 52.4382i −1.41606 3.10074i
\(287\) 14.8427 + 9.85589i 0.876138 + 0.581775i
\(288\) 3.34016 + 0.980759i 0.196821 + 0.0577918i
\(289\) −8.69160 + 12.2056i −0.511271 + 0.717979i
\(290\) −35.1338 27.6295i −2.06313 1.62246i
\(291\) −1.85386 5.35637i −0.108675 0.313996i
\(292\) 33.5742 3.20595i 1.96478 0.187614i
\(293\) −10.0682 6.47044i −0.588191 0.378007i 0.212432 0.977176i \(-0.431862\pi\)
−0.800623 + 0.599169i \(0.795498\pi\)
\(294\) −7.32272 + 14.8418i −0.427070 + 0.865594i
\(295\) −1.19167 + 0.765838i −0.0693816 + 0.0445888i
\(296\) −0.302301 + 0.873440i −0.0175709 + 0.0507677i
\(297\) 1.08411 4.46875i 0.0629062 0.259303i
\(298\) 3.15316 5.46143i 0.182657 0.316372i
\(299\) 25.4210 0.666908i 1.47014 0.0385683i
\(300\) −28.4310 −1.64146
\(301\) 29.1067 + 0.435781i 1.67768 + 0.0251180i
\(302\) −29.6878 34.2616i −1.70834 1.97153i
\(303\) 1.74259 + 0.898370i 0.100109 + 0.0516100i
\(304\) −8.29067 3.31908i −0.475502 0.190362i
\(305\) 36.8425 18.9936i 2.10960 1.08757i
\(306\) 3.34171 0.319094i 0.191033 0.0182414i
\(307\) −4.72351 + 5.45122i −0.269585 + 0.311118i −0.874359 0.485279i \(-0.838718\pi\)
0.604774 + 0.796397i \(0.293263\pi\)
\(308\) 43.5341 3.50021i 2.48058 0.199443i
\(309\) −2.97373 6.51155i −0.169169 0.370429i
\(310\) −9.57103 39.4523i −0.543598 2.24074i
\(311\) −12.4502 + 11.8713i −0.705987 + 0.673157i −0.955425 0.295234i \(-0.904602\pi\)
0.249438 + 0.968391i \(0.419754\pi\)
\(312\) 19.8409 + 1.89458i 1.12327 + 0.107259i
\(313\) −13.7279 + 5.49583i −0.775948 + 0.310643i −0.725625 0.688090i \(-0.758449\pi\)
−0.0503230 + 0.998733i \(0.516025\pi\)
\(314\) −21.3354 + 24.6223i −1.20403 + 1.38952i
\(315\) 2.97551 + 9.03245i 0.167651 + 0.508921i
\(316\) −25.2172 16.2061i −1.41858 0.911665i
\(317\) −8.22227 + 6.46606i −0.461809 + 0.363170i −0.821791 0.569789i \(-0.807025\pi\)
0.359983 + 0.932959i \(0.382783\pi\)
\(318\) 0.484153 + 10.1636i 0.0271499 + 0.569947i
\(319\) 23.7481 4.57707i 1.32964 0.256267i
\(320\) 30.2935 + 28.8848i 1.69346 + 1.61471i
\(321\) 3.67442 0.205086
\(322\) −9.49208 + 28.4581i −0.528973 + 1.58591i
\(323\) 7.42680 0.413238
\(324\) 2.59809 + 2.47728i 0.144338 + 0.137626i
\(325\) 41.2358 7.94756i 2.28735 0.440851i
\(326\) 0.398695 + 8.36963i 0.0220817 + 0.463551i
\(327\) 5.48457 4.31312i 0.303298 0.238516i
\(328\) 21.2944 + 13.6851i 1.17579 + 0.755634i
\(329\) 20.6533 + 4.30224i 1.13866 + 0.237190i
\(330\) 25.5906 29.5332i 1.40872 1.62575i
\(331\) −26.2584 + 10.5123i −1.44329 + 0.577807i −0.955458 0.295128i \(-0.904638\pi\)
−0.487835 + 0.872936i \(0.662213\pi\)
\(332\) −10.6392 1.01592i −0.583902 0.0557559i
\(333\) 0.177961 0.169686i 0.00975223 0.00929873i
\(334\) 7.97993 + 32.8937i 0.436642 + 1.79986i
\(335\) 19.3882 + 42.4542i 1.05929 + 2.31952i
\(336\) −1.93775 + 4.08031i −0.105713 + 0.222599i
\(337\) −1.64029 + 1.89299i −0.0893522 + 0.103118i −0.798665 0.601776i \(-0.794460\pi\)
0.709313 + 0.704894i \(0.249005\pi\)
\(338\) −35.5773 + 3.39722i −1.93515 + 0.184784i
\(339\) −2.18764 + 1.12781i −0.118816 + 0.0612540i
\(340\) 17.0084 + 6.80914i 0.922410 + 0.369277i
\(341\) 19.5248 + 10.0658i 1.05733 + 0.545091i
\(342\) 8.09863 + 9.34631i 0.437923 + 0.505391i
\(343\) 15.1150 + 10.7022i 0.816132 + 0.577865i
\(344\) 41.3568 2.22981
\(345\) 7.56978 + 15.4872i 0.407543 + 0.833805i
\(346\) 6.81222 11.7991i 0.366227 0.634324i
\(347\) −3.96295 + 16.3355i −0.212743 + 0.876937i 0.760902 + 0.648867i \(0.224757\pi\)
−0.973645 + 0.228070i \(0.926758\pi\)
\(348\) −6.17531 + 17.8424i −0.331031 + 0.956452i
\(349\) −3.47204 + 2.23135i −0.185854 + 0.119441i −0.630259 0.776385i \(-0.717051\pi\)
0.444405 + 0.895826i \(0.353415\pi\)
\(350\) −7.78372 + 48.9257i −0.416057 + 2.61519i
\(351\) −4.46073 2.86673i −0.238096 0.153015i
\(352\) −15.9352 + 1.52163i −0.849350 + 0.0811031i
\(353\) 5.30150 + 15.3177i 0.282170 + 0.815278i 0.993644 + 0.112565i \(0.0359068\pi\)
−0.711474 + 0.702713i \(0.751972\pi\)
\(354\) 0.732405 + 0.575970i 0.0389269 + 0.0306124i
\(355\) 24.6655 34.6378i 1.30911 1.83838i
\(356\) −11.1721 3.28043i −0.592121 0.173863i
\(357\) 0.234896 3.74919i 0.0124320 0.198428i
\(358\) −8.16924 17.8881i −0.431758 0.945417i
\(359\) 31.2091 12.4942i 1.64715 0.659421i 0.652042 0.758183i \(-0.273913\pi\)
0.995111 + 0.0987624i \(0.0314884\pi\)
\(360\) 4.41897 + 12.7678i 0.232900 + 0.672920i
\(361\) 4.84960 + 6.81032i 0.255242 + 0.358438i
\(362\) 0.421615 8.85080i 0.0221596 0.465188i
\(363\) 1.44378 + 10.0417i 0.0757790 + 0.527054i
\(364\) 12.6046 48.7592i 0.660663 2.55567i
\(365\) −22.1146 25.5216i −1.15753 1.33586i
\(366\) −19.7323 18.8147i −1.03142 0.983462i
\(367\) −10.6663 + 18.4746i −0.556776 + 0.964364i 0.440987 + 0.897513i \(0.354628\pi\)
−0.997763 + 0.0668506i \(0.978705\pi\)
\(368\) −2.47415 + 7.80511i −0.128974 + 0.406869i
\(369\) −3.36709 5.83198i −0.175284 0.303601i
\(370\) 2.00501 0.588725i 0.104236 0.0306063i
\(371\) 11.3175 + 1.25192i 0.587573 + 0.0649964i
\(372\) −14.4266 + 9.27142i −0.747985 + 0.480701i
\(373\) −7.20340 + 5.66481i −0.372978 + 0.293313i −0.786999 0.616954i \(-0.788366\pi\)
0.414021 + 0.910267i \(0.364124\pi\)
\(374\) −13.7203 + 7.07332i −0.709461 + 0.365753i
\(375\) 6.08776 + 8.54907i 0.314371 + 0.441472i
\(376\) 29.4306 + 5.67228i 1.51777 + 0.292526i
\(377\) 3.96893 27.6045i 0.204411 1.42171i
\(378\) 4.97434 3.79273i 0.255852 0.195077i
\(379\) −14.5596 4.27507i −0.747875 0.219596i −0.114481 0.993425i \(-0.536520\pi\)
−0.633394 + 0.773830i \(0.718339\pi\)
\(380\) 15.9124 + 65.5917i 0.816287 + 3.36478i
\(381\) 17.3794 + 1.65953i 0.890372 + 0.0850202i
\(382\) 9.71101 + 7.63683i 0.496859 + 0.390734i
\(383\) −15.7733 3.04006i −0.805980 0.155340i −0.230411 0.973093i \(-0.574007\pi\)
−0.575568 + 0.817754i \(0.695219\pi\)
\(384\) 8.54504 18.7110i 0.436062 0.954843i
\(385\) −28.1392 33.4741i −1.43411 1.70600i
\(386\) 1.79990 + 12.5186i 0.0916127 + 0.637180i
\(387\) −9.77945 5.04166i −0.497117 0.256282i
\(388\) −19.9799 + 3.85082i −1.01433 + 0.195496i
\(389\) −7.14836 + 29.4660i −0.362436 + 1.49398i 0.440410 + 0.897797i \(0.354833\pi\)
−0.802846 + 0.596186i \(0.796682\pi\)
\(390\) −22.5308 39.0245i −1.14089 1.97608i
\(391\) −0.502264 6.79077i −0.0254006 0.343424i
\(392\) 21.6992 + 14.8816i 1.09597 + 0.751632i
\(393\) −11.0318 + 3.23922i −0.556479 + 0.163397i
\(394\) −4.71453 + 13.6217i −0.237515 + 0.686253i
\(395\) 1.42812 + 29.9799i 0.0718565 + 1.50845i
\(396\) −15.3250 6.13519i −0.770108 0.308305i
\(397\) −0.109786 + 2.30468i −0.00550998 + 0.115669i 0.994437 + 0.105336i \(0.0335919\pi\)
−0.999947 + 0.0103322i \(0.996711\pi\)
\(398\) 12.5992 27.5885i 0.631543 1.38289i
\(399\) 11.7530 7.30692i 0.588386 0.365804i
\(400\) −1.92430 + 13.3838i −0.0962151 + 0.669191i
\(401\) −2.68224 + 3.76667i −0.133944 + 0.188099i −0.876101 0.482128i \(-0.839864\pi\)
0.742156 + 0.670227i \(0.233803\pi\)
\(402\) 22.2180 21.1848i 1.10813 1.05660i
\(403\) 18.3324 17.4799i 0.913203 0.870737i
\(404\) 4.08245 5.73300i 0.203110 0.285228i
\(405\) 0.511539 3.55783i 0.0254186 0.176790i
\(406\) 29.0136 + 15.5117i 1.43992 + 0.769831i
\(407\) −0.469713 + 1.02853i −0.0232828 + 0.0509823i
\(408\) 0.253943 5.33091i 0.0125720 0.263919i
\(409\) 33.3801 + 13.3634i 1.65054 + 0.660776i 0.995495 0.0948161i \(-0.0302263\pi\)
0.655043 + 0.755592i \(0.272651\pi\)
\(410\) −2.72305 57.1638i −0.134482 2.82312i
\(411\) 1.10858 3.20302i 0.0546820 0.157993i
\(412\) −24.6568 + 7.23988i −1.21475 + 0.356683i
\(413\) 0.765306 0.708150i 0.0376582 0.0348458i
\(414\) 7.99819 8.03713i 0.393089 0.395003i
\(415\) 5.35061 + 9.26752i 0.262651 + 0.454925i
\(416\) −4.35183 + 17.9385i −0.213366 + 0.879507i
\(417\) −8.98384 + 1.73149i −0.439941 + 0.0847916i
\(418\) −50.5461 26.0583i −2.47229 1.27455i
\(419\) −2.45000 17.0401i −0.119690 0.832463i −0.957897 0.287111i \(-0.907305\pi\)
0.838207 0.545352i \(-0.183604\pi\)
\(420\) 33.6152 5.95832i 1.64025 0.290736i
\(421\) −4.75250 + 10.4065i −0.231623 + 0.507183i −0.989380 0.145354i \(-0.953568\pi\)
0.757757 + 0.652537i \(0.226295\pi\)
\(422\) 57.4222 + 11.0672i 2.79527 + 0.538744i
\(423\) −6.26783 4.92907i −0.304752 0.239660i
\(424\) 16.1036 + 1.53771i 0.782062 + 0.0746778i
\(425\) −2.65109 10.9279i −0.128597 0.530082i
\(426\) −26.8369 7.88001i −1.30025 0.381788i
\(427\) −24.2625 + 18.4992i −1.17414 + 0.895237i
\(428\) 1.87721 13.0563i 0.0907386 0.631101i
\(429\) 23.9421 + 4.61446i 1.15594 + 0.222788i
\(430\) −54.2365 76.1645i −2.61552 3.67298i
\(431\) 0.255515 0.131727i 0.0123077 0.00634507i −0.452062 0.891987i \(-0.649311\pi\)
0.464369 + 0.885642i \(0.346281\pi\)
\(432\) 1.34202 1.05538i 0.0645679 0.0507768i
\(433\) −20.8629 + 13.4078i −1.00261 + 0.644338i −0.935470 0.353406i \(-0.885023\pi\)
−0.0671390 + 0.997744i \(0.521387\pi\)
\(434\) 12.0052 + 27.3645i 0.576266 + 1.31354i
\(435\) 18.1391 5.32612i 0.869703 0.255368i
\(436\) −12.5238 21.6919i −0.599782 1.03885i
\(437\) 19.3052 16.0188i 0.923495 0.766281i
\(438\) −11.1063 + 19.2367i −0.530681 + 0.919167i
\(439\) −12.6007 12.0148i −0.601400 0.573434i 0.326996 0.945026i \(-0.393964\pi\)
−0.928396 + 0.371592i \(0.878812\pi\)
\(440\) −40.6851 46.9531i −1.93959 2.23840i
\(441\) −3.31695 6.16424i −0.157950 0.293535i
\(442\) 2.53319 + 17.6187i 0.120492 + 0.838038i
\(443\) −0.730852 + 15.3425i −0.0347238 + 0.728942i 0.912636 + 0.408773i \(0.134043\pi\)
−0.947360 + 0.320170i \(0.896260\pi\)
\(444\) −0.512027 0.719042i −0.0242997 0.0341242i
\(445\) 3.81316 + 11.0174i 0.180761 + 0.522275i
\(446\) 5.32355 2.13123i 0.252078 0.100917i
\(447\) 1.10805 + 2.42628i 0.0524088 + 0.114759i
\(448\) −25.6667 17.0432i −1.21264 0.805217i
\(449\) −36.9601 10.8525i −1.74425 0.512159i −0.754669 0.656106i \(-0.772202\pi\)
−0.989585 + 0.143947i \(0.954021\pi\)
\(450\) 10.8614 15.2527i 0.512012 0.719021i
\(451\) 24.3411 + 19.1421i 1.14618 + 0.901366i
\(452\) 2.88980 + 8.34953i 0.135925 + 0.392729i
\(453\) 19.0879 1.82268i 0.896829 0.0856368i
\(454\) 50.2294 + 32.2805i 2.35738 + 1.51500i
\(455\) −47.0894 + 18.0386i −2.20758 + 0.845663i
\(456\) 16.5403 10.6298i 0.774571 0.497786i
\(457\) −4.46231 + 12.8930i −0.208738 + 0.603109i −0.999965 0.00841432i \(-0.997322\pi\)
0.791227 + 0.611523i \(0.209443\pi\)
\(458\) 13.6630 56.3197i 0.638431 2.63165i
\(459\) −0.709920 + 1.22962i −0.0331362 + 0.0573936i
\(460\) 58.8982 18.9855i 2.74614 0.885203i
\(461\) −4.94086 −0.230119 −0.115059 0.993359i \(-0.536706\pi\)
−0.115059 + 0.993359i \(0.536706\pi\)
\(462\) −14.7534 + 24.6925i −0.686391 + 1.14880i
\(463\) −20.1701 23.2776i −0.937385 1.08180i −0.996504 0.0835487i \(-0.973375\pi\)
0.0591190 0.998251i \(-0.481171\pi\)
\(464\) 7.98129 + 4.11464i 0.370522 + 0.191017i
\(465\) 15.9408 + 6.38174i 0.739238 + 0.295946i
\(466\) −24.4501 + 12.6049i −1.13263 + 0.583911i
\(467\) −41.0460 + 3.91942i −1.89938 + 0.181369i −0.978187 0.207726i \(-0.933394\pi\)
−0.921198 + 0.389095i \(0.872788\pi\)
\(468\) −12.4653 + 14.3857i −0.576209 + 0.664981i
\(469\) −19.5060 28.2790i −0.900704 1.30580i
\(470\) −28.1498 61.6395i −1.29845 2.84322i
\(471\) −3.24878 13.3916i −0.149696 0.617054i
\(472\) 1.07209 1.02224i 0.0493471 0.0470524i
\(473\) 50.3646 + 4.80924i 2.31577 + 0.221129i
\(474\) 18.3280 7.33741i 0.841831 0.337018i
\(475\) 27.1286 31.3081i 1.24475 1.43651i
\(476\) −13.2020 2.75007i −0.605113 0.126049i
\(477\) −3.62049 2.32675i −0.165771 0.106535i
\(478\) −2.94487 + 2.31587i −0.134695 + 0.105925i
\(479\) −2.04555 42.9415i −0.0934637 1.96205i −0.234696 0.972069i \(-0.575410\pi\)
0.141232 0.989976i \(-0.454894\pi\)
\(480\) −12.2867 + 2.36806i −0.560807 + 0.108087i
\(481\) 0.943636 + 0.899755i 0.0430261 + 0.0410253i
\(482\) −15.9586 −0.726896
\(483\) −7.47599 10.2523i −0.340169 0.466496i
\(484\) 36.4190 1.65541
\(485\) 14.7450 + 14.0594i 0.669538 + 0.638403i
\(486\) −2.32156 + 0.447444i −0.105308 + 0.0202965i
\(487\) 0.0424943 + 0.892064i 0.00192560 + 0.0404233i 0.999626 0.0273605i \(-0.00871021\pi\)
−0.997700 + 0.0677838i \(0.978407\pi\)
\(488\) −34.0726 + 26.7950i −1.54239 + 1.21295i
\(489\) −2.98144 1.91605i −0.134825 0.0866469i
\(490\) −1.05040 59.4783i −0.0474525 2.68696i
\(491\) −0.352585 + 0.406904i −0.0159119 + 0.0183633i −0.763650 0.645631i \(-0.776595\pi\)
0.747738 + 0.663994i \(0.231140\pi\)
\(492\) −22.4430 + 8.98482i −1.01181 + 0.405067i
\(493\) −7.43385 0.709846i −0.334804 0.0319699i
\(494\) −47.4592 + 45.2522i −2.13529 + 2.03599i
\(495\) 3.89673 + 16.0625i 0.175145 + 0.721958i
\(496\) 3.38806 + 7.41882i 0.152128 + 0.333115i
\(497\) −13.4271 + 28.2733i −0.602287 + 1.26823i
\(498\) 4.60949 5.31964i 0.206556 0.238379i
\(499\) 35.2923 3.37001i 1.57990 0.150862i 0.732108 0.681189i \(-0.238537\pi\)
0.847794 + 0.530326i \(0.177931\pi\)
\(500\) 33.4876 17.2641i 1.49761 0.772072i
\(501\) −13.2908 5.32084i −0.593789 0.237717i
\(502\) 31.2747 + 16.1232i 1.39586 + 0.719615i
\(503\) −13.5170 15.5994i −0.602692 0.695544i 0.369632 0.929178i \(-0.379484\pi\)
−0.972325 + 0.233634i \(0.924938\pi\)
\(504\) −4.84299 8.68606i −0.215724 0.386908i
\(505\) −7.04699 −0.313587
\(506\) −20.4083 + 47.9796i −0.907260 + 2.13295i
\(507\) 7.55812 13.0911i 0.335668 0.581394i
\(508\) 14.7757 60.9063i 0.655566 2.70228i
\(509\) 7.54826 21.8093i 0.334571 0.966679i −0.644755 0.764389i \(-0.723041\pi\)
0.979326 0.202290i \(-0.0648383\pi\)
\(510\) −10.1507 + 6.52344i −0.449479 + 0.288863i
\(511\) 19.3068 + 15.6564i 0.854081 + 0.692598i
\(512\) −15.7972 10.1523i −0.698146 0.448671i
\(513\) −5.20705 + 0.497213i −0.229897 + 0.0219525i
\(514\) −1.11443 3.21993i −0.0491553 0.142025i
\(515\) 20.2255 + 15.9055i 0.891242 + 0.700880i
\(516\) −22.9107 + 32.1736i −1.00859 + 1.41636i
\(517\) 35.1812 + 10.3301i 1.54727 + 0.454319i
\(518\) −1.37755 + 0.684271i −0.0605261 + 0.0300651i
\(519\) 2.39387 + 5.24185i 0.105079 + 0.230092i
\(520\) −66.5092 + 26.6263i −2.91662 + 1.16764i
\(521\) 0.311158 + 0.899031i 0.0136321 + 0.0393872i 0.951612 0.307303i \(-0.0994266\pi\)
−0.937980 + 0.346691i \(0.887305\pi\)
\(522\) −7.21299 10.1292i −0.315704 0.443344i
\(523\) −1.78153 + 37.3990i −0.0779010 + 1.63534i 0.534764 + 0.845001i \(0.320400\pi\)
−0.612665 + 0.790342i \(0.709903\pi\)
\(524\) 5.87394 + 40.8541i 0.256604 + 1.78472i
\(525\) −14.9469 14.6853i −0.652336 0.640917i
\(526\) 1.95192 + 2.25264i 0.0851078 + 0.0982196i
\(527\) −4.90886 4.68059i −0.213833 0.203890i
\(528\) −3.92537 + 6.79894i −0.170830 + 0.295886i
\(529\) −15.9525 16.5686i −0.693586 0.720374i
\(530\) −18.2869 31.6738i −0.794330 1.37582i
\(531\) −0.378130 + 0.111029i −0.0164095 + 0.00481825i
\(532\) −19.9592 45.4950i −0.865343 1.97246i
\(533\) 30.0394 19.3051i 1.30115 0.836198i
\(534\) 6.02796 4.74044i 0.260855 0.205139i
\(535\) −11.7392 + 6.05197i −0.507530 + 0.261650i
\(536\) −28.3107 39.7568i −1.22284 1.71723i
\(537\) 8.16732 + 1.57412i 0.352446 + 0.0679284i
\(538\) 2.27748 15.8402i 0.0981889 0.682919i
\(539\) 24.6949 + 20.6462i 1.06369 + 0.889295i
\(540\) −12.3807 3.63531i −0.532781 0.156439i
\(541\) 4.78636 + 19.7297i 0.205782 + 0.848244i 0.977270 + 0.212000i \(0.0679977\pi\)
−0.771488 + 0.636244i \(0.780487\pi\)
\(542\) 41.6284 + 3.97503i 1.78809 + 0.170742i
\(543\) 2.94596 + 2.31673i 0.126423 + 0.0994203i
\(544\) 4.85338 + 0.935413i 0.208087 + 0.0401055i
\(545\) −10.4184 + 22.8132i −0.446276 + 0.977208i
\(546\) 21.3431 + 25.3895i 0.913402 + 1.08657i
\(547\) 4.61972 + 32.1309i 0.197525 + 1.37382i 0.811436 + 0.584441i \(0.198686\pi\)
−0.613911 + 0.789375i \(0.710405\pi\)
\(548\) −10.8149 5.57549i −0.461992 0.238173i
\(549\) 11.3235 2.18242i 0.483274 0.0931434i
\(550\) −20.2996 + 83.6762i −0.865579 + 3.56797i
\(551\) −13.7555 23.8253i −0.586006 1.01499i
\(552\) −10.8381 14.4049i −0.461298 0.613113i
\(553\) −4.88650 21.5452i −0.207795 0.916197i
\(554\) 47.0238 13.8074i 1.99785 0.586622i
\(555\) −0.289077 + 0.835233i −0.0122706 + 0.0354537i
\(556\) 1.56279 + 32.8069i 0.0662769 + 1.39132i
\(557\) 16.5653 + 6.63173i 0.701892 + 0.280995i 0.695030 0.718981i \(-0.255391\pi\)
0.00686270 + 0.999976i \(0.497816\pi\)
\(558\) 0.537408 11.2816i 0.0227503 0.477587i
\(559\) 24.2356 53.0686i 1.02506 2.24456i
\(560\) −0.529680 16.2276i −0.0223831 0.685739i
\(561\) 0.929166 6.46249i 0.0392294 0.272847i
\(562\) −17.7998 + 24.9963i −0.750839 + 1.05441i
\(563\) −10.9635 + 10.4537i −0.462056 + 0.440569i −0.885003 0.465585i \(-0.845844\pi\)
0.422947 + 0.906154i \(0.360996\pi\)
\(564\) −20.7167 + 19.7533i −0.872329 + 0.831764i
\(565\) 5.13161 7.20633i 0.215888 0.303173i
\(566\) 4.06475 28.2710i 0.170854 1.18832i
\(567\) 0.0863134 + 2.64434i 0.00362482 + 0.111052i
\(568\) −18.4725 + 40.4492i −0.775090 + 1.69721i
\(569\) 1.93441 40.6082i 0.0810945 1.70238i −0.482147 0.876091i \(-0.660143\pi\)
0.563241 0.826293i \(-0.309554\pi\)
\(570\) −41.2678 16.5211i −1.72852 0.691994i
\(571\) −1.97249 41.4077i −0.0825463 1.73286i −0.538300 0.842753i \(-0.680933\pi\)
0.455754 0.890106i \(-0.349370\pi\)
\(572\) 28.6283 82.7161i 1.19701 3.45853i
\(573\) −5.01366 + 1.47214i −0.209449 + 0.0614996i
\(574\) 9.31727 + 41.0811i 0.388895 + 1.71469i
\(575\) −30.4615 22.6880i −1.27033 0.946154i
\(576\) 5.82253 + 10.0849i 0.242605 + 0.420205i
\(577\) −4.47034 + 18.4270i −0.186103 + 0.767126i 0.799864 + 0.600182i \(0.204905\pi\)
−0.985966 + 0.166944i \(0.946610\pi\)
\(578\) −34.7864 + 6.70452i −1.44692 + 0.278871i
\(579\) −4.75467 2.45120i −0.197597 0.101869i
\(580\) −9.65827 67.1747i −0.401038 2.78928i
\(581\) −5.06856 6.02949i −0.210279 0.250145i
\(582\) 5.56699 12.1900i 0.230759 0.505292i
\(583\) 19.4323 + 3.74527i 0.804804 + 0.155113i
\(584\) 27.7592 + 21.8301i 1.14868 + 0.903335i
\(585\) 18.9730 + 1.81170i 0.784437 + 0.0749047i
\(586\) −6.67103 27.4984i −0.275578 1.13595i
\(587\) 7.21510 + 2.11855i 0.297799 + 0.0874417i 0.427219 0.904148i \(-0.359493\pi\)
−0.129420 + 0.991590i \(0.541312\pi\)
\(588\) −23.5980 + 8.63689i −0.973165 + 0.356179i
\(589\) 3.55611 24.7333i 0.146527 1.01912i
\(590\) −3.28858 0.633821i −0.135389 0.0260940i
\(591\) −3.53648 4.96629i −0.145471 0.204286i
\(592\) −0.373143 + 0.192368i −0.0153361 + 0.00790630i
\(593\) 32.2401 25.3539i 1.32394 1.04116i 0.328628 0.944459i \(-0.393414\pi\)
0.995314 0.0967000i \(-0.0308287\pi\)
\(594\) 9.14599 5.87777i 0.375264 0.241168i
\(595\) 5.42468 + 12.3650i 0.222390 + 0.506915i
\(596\) 9.18741 2.69767i 0.376331 0.110501i
\(597\) 6.41406 + 11.1095i 0.262510 + 0.454680i
\(598\) 44.5864 + 40.3344i 1.82327 + 1.64939i
\(599\) 1.47478 2.55439i 0.0602579 0.104370i −0.834323 0.551276i \(-0.814141\pi\)
0.894581 + 0.446907i \(0.147474\pi\)
\(600\) −21.5451 20.5433i −0.879577 0.838675i
\(601\) 2.51397 + 2.90128i 0.102547 + 0.118346i 0.804703 0.593678i \(-0.202325\pi\)
−0.702156 + 0.712023i \(0.747779\pi\)
\(602\) 49.0939 + 48.2345i 2.00092 + 1.96589i
\(603\) 1.84789 + 12.8524i 0.0752519 + 0.523388i
\(604\) 3.27527 68.7564i 0.133269 2.79766i
\(605\) −21.1520 29.7038i −0.859950 1.20763i
\(606\) 1.51605 + 4.38033i 0.0615852 + 0.177939i
\(607\) 36.0820 14.4451i 1.46452 0.586307i 0.503802 0.863819i \(-0.331934\pi\)
0.960722 + 0.277512i \(0.0895098\pi\)
\(608\) 7.56432 + 16.5636i 0.306774 + 0.671741i
\(609\) −12.4625 + 6.19051i −0.505007 + 0.250852i
\(610\) 94.0306 + 27.6099i 3.80719 + 1.11789i
\(611\) 24.5253 34.4410i 0.992188 1.39333i
\(612\) 4.00652 + 3.15076i 0.161954 + 0.127362i
\(613\) 4.17557 + 12.0645i 0.168650 + 0.487282i 0.997378 0.0723699i \(-0.0230562\pi\)
−0.828728 + 0.559652i \(0.810935\pi\)
\(614\) −16.9764 + 1.62105i −0.685110 + 0.0654201i
\(615\) 20.3629 + 13.0865i 0.821113 + 0.527698i
\(616\) 35.5195 + 28.8037i 1.43112 + 1.16054i
\(617\) 0.422857 0.271754i 0.0170236 0.0109404i −0.532101 0.846681i \(-0.678597\pi\)
0.549125 + 0.835740i \(0.314961\pi\)
\(618\) 5.53549 15.9938i 0.222670 0.643363i
\(619\) 2.63964 10.8808i 0.106096 0.437334i −0.893843 0.448380i \(-0.852001\pi\)
0.999939 + 0.0110460i \(0.00351613\pi\)
\(620\) 30.8202 53.3822i 1.23777 2.14388i
\(621\) 0.806776 + 4.72748i 0.0323748 + 0.189707i
\(622\) −40.6722 −1.63081
\(623\) −4.17906 7.49527i −0.167430 0.300292i
\(624\) 5.92836 + 6.84169i 0.237324 + 0.273887i
\(625\) 1.66689 + 0.859341i 0.0666756 + 0.0343737i
\(626\) −32.4567 12.9937i −1.29723 0.519333i
\(627\) 21.3790 11.0216i 0.853796 0.440162i
\(628\) −49.2443 + 4.70226i −1.96506 + 0.187641i
\(629\) 0.228631 0.263854i 0.00911612 0.0105206i
\(630\) −9.64540 + 20.3102i −0.384282 + 0.809179i
\(631\) 17.8378 + 39.0592i 0.710110 + 1.55492i 0.827266 + 0.561810i \(0.189895\pi\)
−0.117156 + 0.993113i \(0.537378\pi\)
\(632\) −7.39974 30.5022i −0.294346 1.21331i
\(633\) −17.9011 + 17.0686i −0.711503 + 0.678417i
\(634\) −24.6189 2.35082i −0.977741 0.0933630i
\(635\) −58.2577 + 23.3229i −2.31189 + 0.925540i
\(636\) −10.1173 + 11.6760i −0.401178 + 0.462984i
\(637\) 31.8118 19.1234i 1.26043 0.757695i
\(638\) 48.1034 + 30.9142i 1.90443 + 1.22390i
\(639\) 9.29912 7.31291i 0.367868 0.289294i
\(640\) 3.51805 + 73.8530i 0.139063 + 2.91930i
\(641\) −23.9805 + 4.62185i −0.947171 + 0.182552i −0.639371 0.768899i \(-0.720805\pi\)
−0.307800 + 0.951451i \(0.599593\pi\)
\(642\) 6.28734 + 5.99497i 0.248142 + 0.236603i
\(643\) −29.7732 −1.17414 −0.587071 0.809535i \(-0.699719\pi\)
−0.587071 + 0.809535i \(0.699719\pi\)
\(644\) −40.2489 + 21.3267i −1.58603 + 0.840389i
\(645\) 39.5477 1.55719
\(646\) 12.7081 + 12.1172i 0.499994 + 0.476743i
\(647\) −42.5993 + 8.21034i −1.67475 + 0.322782i −0.936214 0.351431i \(-0.885695\pi\)
−0.738537 + 0.674213i \(0.764483\pi\)
\(648\) 0.178853 + 3.75458i 0.00702601 + 0.147494i
\(649\) 1.42448 1.12022i 0.0559156 0.0439725i
\(650\) 83.5260 + 53.6789i 3.27616 + 2.10546i
\(651\) −12.3734 2.57746i −0.484950 0.101019i
\(652\) −8.33150 + 9.61506i −0.326287 + 0.376555i
\(653\) −8.24799 + 3.30200i −0.322769 + 0.129217i −0.527388 0.849625i \(-0.676829\pi\)
0.204619 + 0.978842i \(0.434404\pi\)
\(654\) 16.4218 + 1.56809i 0.642142 + 0.0613171i
\(655\) 29.9096 28.5188i 1.16867 1.11432i
\(656\) 2.71057 + 11.1731i 0.105830 + 0.436237i
\(657\) −3.90286 8.54607i −0.152265 0.333414i
\(658\) 28.3209 + 41.0585i 1.10406 + 1.60063i
\(659\) −12.7426 + 14.7057i −0.496379 + 0.572852i −0.947559 0.319581i \(-0.896458\pi\)
0.451180 + 0.892433i \(0.351003\pi\)
\(660\) 59.0659 5.64011i 2.29914 0.219541i
\(661\) −6.48117 + 3.34127i −0.252088 + 0.129960i −0.579640 0.814873i \(-0.696807\pi\)
0.327552 + 0.944833i \(0.393776\pi\)
\(662\) −62.0824 24.8540i −2.41290 0.965979i
\(663\) −6.69175 3.44984i −0.259886 0.133981i
\(664\) −7.32837 8.45739i −0.284396 0.328210i
\(665\) −25.5141 + 42.7023i −0.989394 + 1.65593i
\(666\) 0.581362 0.0225273
\(667\) −20.8546 + 14.1888i −0.807493 + 0.549391i
\(668\) −25.6967 + 44.5079i −0.994233 + 1.72206i
\(669\) −0.571807 + 2.35702i −0.0221074 + 0.0911277i
\(670\) −36.0904 + 104.276i −1.39430 + 4.02855i
\(671\) −44.6098 + 28.6690i −1.72214 + 1.10675i
\(672\) 8.60084 3.29474i 0.331785 0.127097i
\(673\) 7.54185 + 4.84685i 0.290717 + 0.186832i 0.677867 0.735184i \(-0.262904\pi\)
−0.387151 + 0.922016i \(0.626541\pi\)
\(674\) −5.89522 + 0.562925i −0.227075 + 0.0216831i
\(675\) 2.59033 + 7.48425i 0.0997017 + 0.288069i
\(676\) −42.6551 33.5444i −1.64058 1.29017i
\(677\) 10.9599 15.3911i 0.421224 0.591527i −0.548373 0.836234i \(-0.684753\pi\)
0.969597 + 0.244707i \(0.0786919\pi\)
\(678\) −5.58336 1.63942i −0.214428 0.0629617i
\(679\) −12.4930 8.29563i −0.479437 0.318357i
\(680\) 7.96901 + 17.4497i 0.305598 + 0.669165i
\(681\) −23.4451 + 9.38598i −0.898416 + 0.359672i
\(682\) 16.9865 + 49.0792i 0.650446 + 1.87934i
\(683\) −8.96402 12.5882i −0.342999 0.481674i 0.606660 0.794962i \(-0.292509\pi\)
−0.949658 + 0.313288i \(0.898570\pi\)
\(684\) −0.893470 + 18.7562i −0.0341627 + 0.717163i
\(685\) 1.73383 + 12.0590i 0.0662462 + 0.460752i
\(686\) 8.40231 + 42.9735i 0.320802 + 1.64073i
\(687\) 16.0519 + 18.5249i 0.612420 + 0.706770i
\(688\) 13.5950 + 12.9628i 0.518304 + 0.494202i
\(689\) 11.4101 19.7629i 0.434690 0.752905i
\(690\) −12.3154 + 38.8509i −0.468838 + 1.47903i
\(691\) −9.27733 16.0688i −0.352926 0.611286i 0.633835 0.773469i \(-0.281480\pi\)
−0.986761 + 0.162182i \(0.948147\pi\)
\(692\) 19.8489 5.82816i 0.754542 0.221553i
\(693\) −4.88776 11.1411i −0.185671 0.423217i
\(694\) −33.4332 + 21.4862i −1.26911 + 0.815605i
\(695\) 25.8501 20.3288i 0.980551 0.771114i
\(696\) −17.5720 + 9.05898i −0.666064 + 0.343380i
\(697\) −5.54620 7.78854i −0.210077 0.295012i
\(698\) −9.58160 1.84670i −0.362669 0.0698987i
\(699\) 1.65581 11.5164i 0.0626284 0.435590i
\(700\) −59.8174 + 45.6083i −2.26088 + 1.72383i
\(701\) 34.9863 + 10.2729i 1.32141 + 0.388002i 0.865003 0.501767i \(-0.167317\pi\)
0.456411 + 0.889769i \(0.349135\pi\)
\(702\) −2.95561 12.1832i −0.111552 0.459824i
\(703\) 1.28038 + 0.122261i 0.0482904 + 0.00461117i
\(704\) −42.0918 33.1013i −1.58639 1.24755i
\(705\) 28.1432 + 5.42416i 1.05993 + 0.204286i
\(706\) −15.9200 + 34.8599i −0.599157 + 1.31197i
\(707\) 5.10748 0.905306i 0.192087 0.0340475i
\(708\) 0.201338 + 1.40034i 0.00756674 + 0.0526278i
\(709\) 16.6883 + 8.60341i 0.626742 + 0.323108i 0.742174 0.670207i \(-0.233795\pi\)
−0.115432 + 0.993315i \(0.536825\pi\)
\(710\) 98.7185 19.0264i 3.70484 0.714049i
\(711\) −1.96862 + 8.11477i −0.0738291 + 0.304328i
\(712\) −6.09597 10.5585i −0.228456 0.395697i
\(713\) −22.8556 1.57888i −0.855948 0.0591296i
\(714\) 6.51890 6.03205i 0.243964 0.225744i
\(715\) −84.0916 + 24.6915i −3.14485 + 0.923411i
\(716\) 9.76592 28.2168i 0.364969 1.05451i
\(717\) −0.0753974 1.58279i −0.00281577 0.0591102i
\(718\) 73.7872 + 29.5399i 2.75371 + 1.10242i
\(719\) 0.0279476 0.586692i 0.00104227 0.0218799i −0.998286 0.0585190i \(-0.981362\pi\)
0.999329 + 0.0366391i \(0.0116652\pi\)
\(720\) −2.54928 + 5.58214i −0.0950060 + 0.208034i
\(721\) −16.7023 8.92960i −0.622025 0.332556i
\(722\) −2.81310 + 19.5656i −0.104693 + 0.728155i
\(723\) 3.91531 5.49829i 0.145612 0.204483i
\(724\) 9.73709 9.28430i 0.361876 0.345048i
\(725\) −30.1467 + 28.7449i −1.11962 + 1.06756i
\(726\) −13.9131 + 19.5381i −0.516362 + 0.725129i
\(727\) −1.63467 + 11.3694i −0.0606264 + 0.421666i 0.936794 + 0.349882i \(0.113778\pi\)
−0.997420 + 0.0717840i \(0.977131\pi\)
\(728\) 44.7836 27.8423i 1.65979 1.03190i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 3.79902 79.7512i 0.140608 2.95172i
\(731\) −14.5028 5.80605i −0.536406 0.214745i
\(732\) −1.96978 41.3507i −0.0728050 1.52836i
\(733\) −14.6680 + 42.3805i −0.541776 + 1.56536i 0.258678 + 0.965964i \(0.416713\pi\)
−0.800454 + 0.599395i \(0.795408\pi\)
\(734\) −48.3933 + 14.2095i −1.78623 + 0.524484i
\(735\) 20.7500 + 14.2306i 0.765375 + 0.524903i
\(736\) 14.6335 8.03667i 0.539397 0.296236i
\(737\) −29.8538 51.7083i −1.09968 1.90470i
\(738\) 3.75365 15.4727i 0.138174 0.569559i
\(739\) −19.3516 + 3.72972i −0.711860 + 0.137200i −0.532311 0.846549i \(-0.678676\pi\)
−0.179550 + 0.983749i \(0.557464\pi\)
\(740\) 2.82015 + 1.45389i 0.103671 + 0.0534460i
\(741\) −3.94722 27.4535i −0.145005 1.00853i
\(742\) 17.3229 + 20.6071i 0.635943 + 0.756510i
\(743\) 0.726742 1.59134i 0.0266616 0.0583807i −0.895833 0.444391i \(-0.853420\pi\)
0.922494 + 0.386011i \(0.126147\pi\)
\(744\) −17.6318 3.39825i −0.646412 0.124586i
\(745\) −7.53626 5.92658i −0.276107 0.217133i
\(746\) −21.5682 2.05952i −0.789669 0.0754042i
\(747\) 0.701896 + 2.89325i 0.0256810 + 0.105859i
\(748\) −22.4885 6.60322i −0.822261 0.241438i
\(749\) 7.73079 5.89442i 0.282477 0.215377i
\(750\) −3.53132 + 24.5609i −0.128946 + 0.896836i
\(751\) −12.6866 2.44515i −0.462942 0.0892248i −0.0475532 0.998869i \(-0.515142\pi\)
−0.415389 + 0.909644i \(0.636354\pi\)
\(752\) 7.89664 + 11.0893i 0.287961 + 0.404385i
\(753\) −13.2280 + 6.81949i −0.482054 + 0.248516i
\(754\) 51.8293 40.7590i 1.88751 1.48436i
\(755\) −57.9809 + 37.2621i −2.11014 + 1.35611i
\(756\) 9.44025 + 1.04427i 0.343339 + 0.0379796i
\(757\) 15.7836 4.63447i 0.573663 0.168443i 0.0179821 0.999838i \(-0.494276\pi\)
0.555681 + 0.831396i \(0.312458\pi\)
\(758\) −17.9381 31.0697i −0.651541 1.12850i
\(759\) −11.5236 18.8027i −0.418279 0.682495i
\(760\) −35.3358 + 61.2034i −1.28176 + 2.22008i
\(761\) 10.9133 + 10.4058i 0.395606 + 0.377209i 0.861608 0.507574i \(-0.169458\pi\)
−0.466002 + 0.884783i \(0.654306\pi\)
\(762\) 27.0305 + 31.1948i 0.979211 + 1.13007i
\(763\) 4.62027 17.8728i 0.167265 0.647040i
\(764\) 2.66955 + 18.5671i 0.0965810 + 0.671736i
\(765\) 0.242834 5.09772i 0.00877969 0.184308i
\(766\) −22.0300 30.9368i −0.795975 1.11779i
\(767\) −0.683465 1.97474i −0.0246785 0.0713038i
\(768\) 23.5276 9.41903i 0.848979 0.339880i
\(769\) 1.44037 + 3.15396i 0.0519409 + 0.113735i 0.933823 0.357735i \(-0.116451\pi\)
−0.881882 + 0.471470i \(0.843724\pi\)
\(770\) 6.46499 103.188i 0.232982 3.71865i
\(771\) 1.38279 + 0.406024i 0.0497999 + 0.0146226i