Properties

Label 483.2.y.b.16.1
Level $483$
Weight $2$
Character 483.16
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 16.1
Character \(\chi\) \(=\) 483.16
Dual form 483.2.y.b.151.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.860562 - 2.48643i) q^{2} +(-0.888835 - 0.458227i) q^{3} +(-3.86967 + 3.04314i) q^{4} +(0.317869 + 0.0303528i) q^{5} +(-0.374451 + 2.60436i) q^{6} +(1.99020 + 1.74330i) q^{7} +(6.46974 + 4.15785i) q^{8} +(0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.860562 - 2.48643i) q^{2} +(-0.888835 - 0.458227i) q^{3} +(-3.86967 + 3.04314i) q^{4} +(0.317869 + 0.0303528i) q^{5} +(-0.374451 + 2.60436i) q^{6} +(1.99020 + 1.74330i) q^{7} +(6.46974 + 4.15785i) q^{8} +(0.580057 + 0.814576i) q^{9} +(-0.198076 - 0.816481i) q^{10} +(0.115845 - 0.334712i) q^{11} +(4.83395 - 0.931667i) q^{12} +(-1.39083 - 0.408383i) q^{13} +(2.62190 - 6.44872i) q^{14} +(-0.268625 - 0.172635i) q^{15} +(2.44935 - 10.0964i) q^{16} +(6.46244 - 2.58717i) q^{17} +(1.52621 - 2.14327i) q^{18} +(2.23484 + 0.894694i) q^{19} +(-1.32242 + 0.849866i) q^{20} +(-0.970138 - 2.46147i) q^{21} -0.931931 q^{22} +(4.68278 + 1.03516i) q^{23} +(-3.84530 - 6.66025i) q^{24} +(-4.80952 - 0.926960i) q^{25} +(0.181475 + 3.80963i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(-13.0065 - 0.689515i) q^{28} +(0.485445 - 3.37635i) q^{29} +(-0.198076 + 0.816481i) q^{30} +(-0.130746 + 2.74469i) q^{31} +(-11.9002 + 1.13633i) q^{32} +(-0.256341 + 0.244421i) q^{33} +(-11.9942 - 13.8420i) q^{34} +(0.579711 + 0.614549i) q^{35} +(-4.72350 - 1.38694i) q^{36} +(-1.20731 - 1.69542i) q^{37} +(0.301378 - 6.32671i) q^{38} +(1.04908 + 1.00030i) q^{39} +(1.93033 + 1.51803i) q^{40} +(1.63811 + 3.58695i) q^{41} +(-5.28541 + 4.53043i) q^{42} +(5.03795 - 3.23769i) q^{43} +(0.570295 + 1.64776i) q^{44} +(0.159658 + 0.276535i) q^{45} +(-1.45598 - 12.5342i) q^{46} +(-1.03037 + 1.78466i) q^{47} +(-6.80350 + 7.85166i) q^{48} +(0.921824 + 6.93904i) q^{49} +(1.83407 + 12.7563i) q^{50} +(-6.92956 - 0.661693i) q^{51} +(6.62481 - 2.65217i) q^{52} +(4.97003 + 4.73891i) q^{53} +(-2.33865 + 1.20566i) q^{54} +(0.0469830 - 0.102879i) q^{55} +(5.62773 + 19.5537i) q^{56} +(-1.57643 - 1.81930i) q^{57} +(-8.81281 + 1.69853i) q^{58} +(-3.00241 - 12.3761i) q^{59} +(1.56484 - 0.149424i) q^{60} +(4.82697 - 2.48848i) q^{61} +(6.93700 - 2.03689i) q^{62} +(-0.265617 + 2.63238i) q^{63} +(4.43462 + 9.71047i) q^{64} +(-0.429705 - 0.172028i) q^{65} +(0.828334 + 0.427036i) q^{66} +(11.4848 + 2.21352i) q^{67} +(-17.1344 + 29.6776i) q^{68} +(-3.68789 - 3.06586i) q^{69} +(1.02916 - 1.97027i) q^{70} +(4.67983 - 5.40081i) q^{71} +(0.365933 + 7.68189i) q^{72} +(-12.1028 + 9.51773i) q^{73} +(-3.17659 + 4.46090i) q^{74} +(3.85012 + 3.02777i) q^{75} +(-11.3708 + 3.33876i) q^{76} +(0.814059 - 0.464193i) q^{77} +(1.58437 - 3.46929i) q^{78} +(12.6192 - 12.0324i) q^{79} +(1.08503 - 3.13498i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(7.50902 - 7.15984i) q^{82} +(2.81961 - 6.17409i) q^{83} +(11.2447 + 6.57280i) q^{84} +(2.13274 - 0.626229i) q^{85} +(-12.3858 - 9.74028i) q^{86} +(-1.97861 + 2.77857i) q^{87} +(2.14117 - 1.68384i) q^{88} +(-0.263240 - 5.52608i) q^{89} +(0.550190 - 0.634953i) q^{90} +(-2.05609 - 3.23739i) q^{91} +(-21.2709 + 10.2447i) q^{92} +(1.37390 - 2.37967i) q^{93} +(5.32412 + 1.02614i) q^{94} +(0.683230 + 0.352229i) q^{95} +(11.0980 + 4.44299i) q^{96} +(0.324171 + 0.709836i) q^{97} +(16.4602 - 8.26353i) q^{98} +(0.339845 - 0.0997876i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} + 16q^{3} + 18q^{4} - 2q^{5} + 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 2q^{11} + 18q^{12} + 18q^{14} - 18q^{15} - 8q^{16} + 4q^{17} + 2q^{18} + 8q^{19} - 162q^{20} - 4q^{21} + 144q^{22} - 26q^{23} + 6q^{24} - 8q^{25} - 14q^{26} - 32q^{27} + 86q^{28} - 74q^{29} - 56q^{31} - 28q^{32} + 13q^{33} + 40q^{34} - 32q^{35} - 14q^{36} + 2q^{37} - 39q^{38} - 52q^{40} + 60q^{41} - 61q^{42} + 16q^{43} - 75q^{44} - 2q^{45} - 4q^{46} - 40q^{47} - 28q^{48} - 100q^{49} + 146q^{50} - 18q^{51} - 18q^{52} + 34q^{53} + 2q^{54} + 36q^{55} - 102q^{56} + 28q^{57} - 17q^{58} - 102q^{59} - 18q^{60} - 18q^{61} - 88q^{62} + 2q^{63} - 252q^{64} - 78q^{65} + 16q^{66} + 12q^{67} + 34q^{68} + 8q^{69} + 264q^{70} + 160q^{71} + 6q^{72} - 8q^{73} + 70q^{74} + 14q^{75} - 40q^{76} - 90q^{77} - 16q^{78} + 26q^{79} - 103q^{80} + 16q^{81} - 30q^{82} - 80q^{83} - 52q^{84} - 128q^{85} + 90q^{86} + 4q^{87} - 293q^{88} - 36q^{89} + 16q^{91} - 174q^{92} + 32q^{93} + 57q^{94} - 85q^{95} - 50q^{96} - 8q^{97} - 193q^{98} - 26q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{4}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.860562 2.48643i −0.608510 1.75817i −0.651002 0.759076i \(-0.725651\pi\)
0.0424924 0.999097i \(-0.486470\pi\)
\(3\) −0.888835 0.458227i −0.513169 0.264557i
\(4\) −3.86967 + 3.04314i −1.93483 + 1.52157i
\(5\) 0.317869 + 0.0303528i 0.142155 + 0.0135742i 0.165891 0.986144i \(-0.446950\pi\)
−0.0237357 + 0.999718i \(0.507556\pi\)
\(6\) −0.374451 + 2.60436i −0.152869 + 1.06323i
\(7\) 1.99020 + 1.74330i 0.752226 + 0.658905i
\(8\) 6.46974 + 4.15785i 2.28740 + 1.47002i
\(9\) 0.580057 + 0.814576i 0.193352 + 0.271525i
\(10\) −0.198076 0.816481i −0.0626372 0.258194i
\(11\) 0.115845 0.334712i 0.0349286 0.100920i −0.926188 0.377061i \(-0.876935\pi\)
0.961117 + 0.276142i \(0.0890559\pi\)
\(12\) 4.83395 0.931667i 1.39544 0.268949i
\(13\) −1.39083 0.408383i −0.385746 0.113265i 0.0831089 0.996540i \(-0.473515\pi\)
−0.468855 + 0.883275i \(0.655333\pi\)
\(14\) 2.62190 6.44872i 0.700731 1.72349i
\(15\) −0.268625 0.172635i −0.0693587 0.0445741i
\(16\) 2.44935 10.0964i 0.612339 2.52409i
\(17\) 6.46244 2.58717i 1.56737 0.627481i 0.584438 0.811438i \(-0.301315\pi\)
0.982934 + 0.183957i \(0.0588906\pi\)
\(18\) 1.52621 2.14327i 0.359732 0.505173i
\(19\) 2.23484 + 0.894694i 0.512707 + 0.205257i 0.613565 0.789644i \(-0.289735\pi\)
−0.100858 + 0.994901i \(0.532159\pi\)
\(20\) −1.32242 + 0.849866i −0.295701 + 0.190036i
\(21\) −0.970138 2.46147i −0.211702 0.537137i
\(22\) −0.931931 −0.198688
\(23\) 4.68278 + 1.03516i 0.976428 + 0.215845i
\(24\) −3.84530 6.66025i −0.784918 1.35952i
\(25\) −4.80952 0.926960i −0.961905 0.185392i
\(26\) 0.181475 + 3.80963i 0.0355902 + 0.747131i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) −13.0065 0.689515i −2.45800 0.130306i
\(29\) 0.485445 3.37635i 0.0901449 0.626972i −0.893795 0.448475i \(-0.851967\pi\)
0.983940 0.178497i \(-0.0571235\pi\)
\(30\) −0.198076 + 0.816481i −0.0361636 + 0.149068i
\(31\) −0.130746 + 2.74469i −0.0234826 + 0.492961i 0.956238 + 0.292591i \(0.0945174\pi\)
−0.979720 + 0.200370i \(0.935786\pi\)
\(32\) −11.9002 + 1.13633i −2.10368 + 0.200877i
\(33\) −0.256341 + 0.244421i −0.0446233 + 0.0425482i
\(34\) −11.9942 13.8420i −2.05698 2.37388i
\(35\) 0.579711 + 0.614549i 0.0979890 + 0.103878i
\(36\) −4.72350 1.38694i −0.787250 0.231157i
\(37\) −1.20731 1.69542i −0.198480 0.278726i 0.703326 0.710867i \(-0.251697\pi\)
−0.901806 + 0.432142i \(0.857758\pi\)
\(38\) 0.301378 6.32671i 0.0488900 1.02633i
\(39\) 1.04908 + 1.00030i 0.167988 + 0.160176i
\(40\) 1.93033 + 1.51803i 0.305212 + 0.240021i
\(41\) 1.63811 + 3.58695i 0.255829 + 0.560188i 0.993350 0.115137i \(-0.0367307\pi\)
−0.737520 + 0.675325i \(0.764003\pi\)
\(42\) −5.28541 + 4.53043i −0.815557 + 0.699061i
\(43\) 5.03795 3.23769i 0.768280 0.493744i −0.0968452 0.995299i \(-0.530875\pi\)
0.865125 + 0.501556i \(0.167239\pi\)
\(44\) 0.570295 + 1.64776i 0.0859752 + 0.248409i
\(45\) 0.159658 + 0.276535i 0.0238003 + 0.0412234i
\(46\) −1.45598 12.5342i −0.214673 1.84807i
\(47\) −1.03037 + 1.78466i −0.150295 + 0.260319i −0.931336 0.364161i \(-0.881356\pi\)
0.781041 + 0.624480i \(0.214689\pi\)
\(48\) −6.80350 + 7.85166i −0.982001 + 1.13329i
\(49\) 0.921824 + 6.93904i 0.131689 + 0.991291i
\(50\) 1.83407 + 12.7563i 0.259377 + 1.80401i
\(51\) −6.92956 0.661693i −0.970332 0.0926555i
\(52\) 6.62481 2.65217i 0.918695 0.367790i
\(53\) 4.97003 + 4.73891i 0.682686 + 0.650940i 0.949848 0.312712i \(-0.101237\pi\)
−0.267162 + 0.963652i \(0.586086\pi\)
\(54\) −2.33865 + 1.20566i −0.318250 + 0.164069i
\(55\) 0.0469830 0.102879i 0.00633519 0.0138721i
\(56\) 5.62773 + 19.5537i 0.752037 + 2.61297i
\(57\) −1.57643 1.81930i −0.208803 0.240972i
\(58\) −8.81281 + 1.69853i −1.15718 + 0.223028i
\(59\) −3.00241 12.3761i −0.390881 1.61123i −0.738947 0.673763i \(-0.764677\pi\)
0.348067 0.937470i \(-0.386838\pi\)
\(60\) 1.56484 0.149424i 0.202020 0.0192906i
\(61\) 4.82697 2.48848i 0.618031 0.318617i −0.120627 0.992698i \(-0.538490\pi\)
0.738658 + 0.674081i \(0.235460\pi\)
\(62\) 6.93700 2.03689i 0.881000 0.258685i
\(63\) −0.265617 + 2.63238i −0.0334646 + 0.331649i
\(64\) 4.43462 + 9.71047i 0.554328 + 1.21381i
\(65\) −0.429705 0.172028i −0.0532984 0.0213375i
\(66\) 0.828334 + 0.427036i 0.101961 + 0.0525644i
\(67\) 11.4848 + 2.21352i 1.40310 + 0.270424i 0.833963 0.551821i \(-0.186067\pi\)
0.569133 + 0.822246i \(0.307279\pi\)
\(68\) −17.1344 + 29.6776i −2.07785 + 3.59894i
\(69\) −3.68789 3.06586i −0.443969 0.369086i
\(70\) 1.02916 1.97027i 0.123008 0.235492i
\(71\) 4.67983 5.40081i 0.555394 0.640959i −0.406737 0.913545i \(-0.633334\pi\)
0.962131 + 0.272586i \(0.0878791\pi\)
\(72\) 0.365933 + 7.68189i 0.0431257 + 0.905319i
\(73\) −12.1028 + 9.51773i −1.41652 + 1.11397i −0.440138 + 0.897930i \(0.645070\pi\)
−0.976385 + 0.216036i \(0.930687\pi\)
\(74\) −3.17659 + 4.46090i −0.369271 + 0.518569i
\(75\) 3.85012 + 3.02777i 0.444573 + 0.349616i
\(76\) −11.3708 + 3.33876i −1.30432 + 0.382982i
\(77\) 0.814059 0.464193i 0.0927706 0.0528997i
\(78\) 1.58437 3.46929i 0.179395 0.392820i
\(79\) 12.6192 12.0324i 1.41977 1.35375i 0.575541 0.817773i \(-0.304792\pi\)
0.844232 0.535978i \(-0.180057\pi\)
\(80\) 1.08503 3.13498i 0.121310 0.350502i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) 7.50902 7.15984i 0.829233 0.790672i
\(83\) 2.81961 6.17409i 0.309493 0.677695i −0.689418 0.724364i \(-0.742133\pi\)
0.998910 + 0.0466694i \(0.0148607\pi\)
\(84\) 11.2447 + 6.57280i 1.22690 + 0.717152i
\(85\) 2.13274 0.626229i 0.231328 0.0679241i
\(86\) −12.3858 9.74028i −1.33559 1.05032i
\(87\) −1.97861 + 2.77857i −0.212130 + 0.297894i
\(88\) 2.14117 1.68384i 0.228250 0.179497i
\(89\) −0.263240 5.52608i −0.0279033 0.585763i −0.968916 0.247391i \(-0.920427\pi\)
0.941012 0.338372i \(-0.109876\pi\)
\(90\) 0.550190 0.634953i 0.0579951 0.0669300i
\(91\) −2.05609 3.23739i −0.215537 0.339371i
\(92\) −21.2709 + 10.2447i −2.21765 + 1.06808i
\(93\) 1.37390 2.37967i 0.142467 0.246760i
\(94\) 5.32412 + 1.02614i 0.549142 + 0.105838i
\(95\) 0.683230 + 0.352229i 0.0700979 + 0.0361380i
\(96\) 11.0980 + 4.44299i 1.13269 + 0.453460i
\(97\) 0.324171 + 0.709836i 0.0329146 + 0.0720729i 0.925375 0.379052i \(-0.123750\pi\)
−0.892461 + 0.451125i \(0.851023\pi\)
\(98\) 16.4602 8.26353i 1.66273 0.834742i
\(99\) 0.339845 0.0997876i 0.0341557 0.0100290i
\(100\) 21.4321 11.0490i 2.14321 1.10490i
\(101\) −6.40574 + 0.611674i −0.637395 + 0.0608638i −0.408750 0.912646i \(-0.634035\pi\)
−0.228644 + 0.973510i \(0.573429\pi\)
\(102\) 4.31806 + 17.7993i 0.427552 + 1.76239i
\(103\) −16.7387 + 3.22613i −1.64932 + 0.317880i −0.927391 0.374093i \(-0.877954\pi\)
−0.721924 + 0.691972i \(0.756742\pi\)
\(104\) −7.30029 8.42498i −0.715852 0.826138i
\(105\) −0.233665 0.811872i −0.0228033 0.0792306i
\(106\) 7.50597 16.4358i 0.729044 1.59638i
\(107\) 8.91764 4.59736i 0.862101 0.444444i 0.0303150 0.999540i \(-0.490349\pi\)
0.831786 + 0.555096i \(0.187319\pi\)
\(108\) 3.56288 + 3.39720i 0.342838 + 0.326896i
\(109\) 8.27331 3.31213i 0.792439 0.317245i 0.0601065 0.998192i \(-0.480856\pi\)
0.732332 + 0.680947i \(0.238432\pi\)
\(110\) −0.296232 0.0282868i −0.0282446 0.00269704i
\(111\) 0.296208 + 2.06017i 0.0281148 + 0.195543i
\(112\) 22.4757 15.8239i 2.12375 1.49522i
\(113\) −6.93767 + 8.00650i −0.652641 + 0.753188i −0.981557 0.191171i \(-0.938771\pi\)
0.328915 + 0.944359i \(0.393317\pi\)
\(114\) −3.16694 + 5.48531i −0.296611 + 0.513746i
\(115\) 1.45709 + 0.471180i 0.135875 + 0.0439378i
\(116\) 8.39619 + 14.5426i 0.779567 + 1.35025i
\(117\) −0.474099 1.36982i −0.0438305 0.126640i
\(118\) −28.1886 + 18.1157i −2.59497 + 1.66769i
\(119\) 17.3718 + 6.11696i 1.59247 + 0.560741i
\(120\) −1.02014 2.23381i −0.0931260 0.203918i
\(121\) 8.54797 + 6.72220i 0.777088 + 0.611109i
\(122\) −10.3413 9.86045i −0.936261 0.892723i
\(123\) 0.187630 3.93883i 0.0169180 0.355153i
\(124\) −7.84654 11.0189i −0.704640 0.989528i
\(125\) −3.03257 0.890442i −0.271241 0.0796436i
\(126\) 6.77382 1.60489i 0.603460 0.142975i
\(127\) 3.59608 + 4.15009i 0.319100 + 0.368261i 0.892526 0.450996i \(-0.148931\pi\)
−0.573426 + 0.819258i \(0.694386\pi\)
\(128\) 3.02459 2.88394i 0.267339 0.254907i
\(129\) −5.96151 + 0.569255i −0.524881 + 0.0501201i
\(130\) −0.0579478 + 1.21647i −0.00508236 + 0.106692i
\(131\) −3.00908 + 12.4036i −0.262904 + 1.08371i 0.675277 + 0.737564i \(0.264024\pi\)
−0.938182 + 0.346143i \(0.887491\pi\)
\(132\) 0.248149 1.72591i 0.0215986 0.150221i
\(133\) 2.88806 + 5.67661i 0.250427 + 0.492225i
\(134\) −4.37965 30.4611i −0.378344 2.63144i
\(135\) −0.0151936 0.318953i −0.00130766 0.0274511i
\(136\) 52.5674 + 10.1315i 4.50762 + 0.868772i
\(137\) −5.29351 9.16862i −0.452255 0.783328i 0.546271 0.837608i \(-0.316047\pi\)
−0.998526 + 0.0542804i \(0.982714\pi\)
\(138\) −4.44939 + 11.8080i −0.378757 + 1.00517i
\(139\) 3.28160 0.278341 0.139171 0.990268i \(-0.455556\pi\)
0.139171 + 0.990268i \(0.455556\pi\)
\(140\) −4.11345 0.613961i −0.347650 0.0518892i
\(141\) 1.73361 1.11412i 0.145996 0.0938260i
\(142\) −17.4560 6.98834i −1.46488 0.586449i
\(143\) −0.297811 + 0.418217i −0.0249042 + 0.0349731i
\(144\) 9.64503 3.86129i 0.803753 0.321774i
\(145\) 0.256790 1.05850i 0.0213252 0.0879038i
\(146\) 34.0804 + 21.9021i 2.82051 + 1.81263i
\(147\) 2.36030 6.59007i 0.194674 0.543540i
\(148\) 9.83128 + 2.88673i 0.808127 + 0.237287i
\(149\) 18.1934 3.50650i 1.49046 0.287263i 0.622001 0.783016i \(-0.286320\pi\)
0.868464 + 0.495753i \(0.165108\pi\)
\(150\) 4.21507 12.1786i 0.344159 0.994382i
\(151\) 3.95226 + 16.2914i 0.321631 + 1.32578i 0.871445 + 0.490493i \(0.163183\pi\)
−0.549815 + 0.835287i \(0.685302\pi\)
\(152\) 10.7388 + 15.0806i 0.871033 + 1.22319i
\(153\) 5.85603 + 3.76344i 0.473432 + 0.304256i
\(154\) −1.85473 1.62463i −0.149459 0.130917i
\(155\) −0.124869 + 0.868484i −0.0100297 + 0.0697583i
\(156\) −7.10366 0.678317i −0.568748 0.0543088i
\(157\) −10.0532 + 7.90592i −0.802332 + 0.630961i −0.932760 0.360497i \(-0.882607\pi\)
0.130428 + 0.991458i \(0.458365\pi\)
\(158\) −40.7774 21.0222i −3.24407 1.67244i
\(159\) −2.24604 6.48952i −0.178123 0.514652i
\(160\) −3.81721 −0.301777
\(161\) 7.51511 + 10.2237i 0.592273 + 0.805737i
\(162\) 2.63114 0.206722
\(163\) 2.35722 + 6.81074i 0.184632 + 0.533459i 0.998893 0.0470400i \(-0.0149788\pi\)
−0.814261 + 0.580499i \(0.802858\pi\)
\(164\) −17.2545 8.89533i −1.34735 0.694609i
\(165\) −0.0889019 + 0.0699132i −0.00692100 + 0.00544274i
\(166\) −17.7779 1.69759i −1.37983 0.131758i
\(167\) −0.764647 + 5.31824i −0.0591701 + 0.411537i 0.938612 + 0.344974i \(0.112112\pi\)
−0.997782 + 0.0665630i \(0.978797\pi\)
\(168\) 3.95788 19.9588i 0.305357 1.53985i
\(169\) −9.16868 5.89235i −0.705283 0.453258i
\(170\) −3.39243 4.76400i −0.260188 0.365382i
\(171\) 0.567537 + 2.33942i 0.0434006 + 0.178900i
\(172\) −9.64244 + 27.8600i −0.735229 + 2.12431i
\(173\) 21.6311 4.16906i 1.64458 0.316968i 0.718857 0.695158i \(-0.244666\pi\)
0.925728 + 0.378190i \(0.123453\pi\)
\(174\) 8.61145 + 2.52855i 0.652832 + 0.191689i
\(175\) −7.95597 10.2293i −0.601415 0.773260i
\(176\) −3.09564 1.98944i −0.233342 0.149960i
\(177\) −3.00241 + 12.3761i −0.225675 + 0.930246i
\(178\) −13.5137 + 5.41007i −1.01289 + 0.405502i
\(179\) −5.41320 + 7.60178i −0.404602 + 0.568183i −0.965731 0.259545i \(-0.916428\pi\)
0.561130 + 0.827728i \(0.310367\pi\)
\(180\) −1.45936 0.584239i −0.108774 0.0435466i
\(181\) −12.6219 + 8.11163i −0.938181 + 0.602932i −0.917879 0.396861i \(-0.870099\pi\)
−0.0203026 + 0.999794i \(0.506463\pi\)
\(182\) −6.28016 + 7.89831i −0.465516 + 0.585462i
\(183\) −5.43067 −0.401447
\(184\) 25.9924 + 26.1675i 1.91618 + 1.92909i
\(185\) −0.332304 0.575568i −0.0244315 0.0423166i
\(186\) −7.09921 1.36826i −0.520539 0.100326i
\(187\) −0.117316 2.46277i −0.00857901 0.180096i
\(188\) −1.44376 10.0416i −0.105297 0.732359i
\(189\) 1.44232 2.21804i 0.104913 0.161339i
\(190\) 0.287833 2.00192i 0.0208816 0.145235i
\(191\) 0.243309 1.00293i 0.0176052 0.0725698i −0.962331 0.271879i \(-0.912355\pi\)
0.979937 + 0.199310i \(0.0638700\pi\)
\(192\) 0.507945 10.6631i 0.0366577 0.769541i
\(193\) −20.2306 + 1.93179i −1.45623 + 0.139053i −0.792937 0.609304i \(-0.791449\pi\)
−0.663296 + 0.748357i \(0.730843\pi\)
\(194\) 1.48599 1.41689i 0.106688 0.101727i
\(195\) 0.303110 + 0.349807i 0.0217061 + 0.0250502i
\(196\) −24.6836 24.0465i −1.76312 1.71761i
\(197\) −24.5100 7.19678i −1.74626 0.512749i −0.756318 0.654204i \(-0.773004\pi\)
−0.989945 + 0.141455i \(0.954822\pi\)
\(198\) −0.540573 0.759129i −0.0384169 0.0539489i
\(199\) −0.940155 + 19.7363i −0.0666458 + 1.39907i 0.679691 + 0.733499i \(0.262114\pi\)
−0.746337 + 0.665569i \(0.768189\pi\)
\(200\) −27.2622 25.9945i −1.92773 1.83809i
\(201\) −9.19383 7.23011i −0.648483 0.509973i
\(202\) 7.03342 + 15.4010i 0.494870 + 1.08361i
\(203\) 6.85211 5.87334i 0.480924 0.412228i
\(204\) 28.8287 18.5271i 2.01841 1.29716i
\(205\) 0.411829 + 1.18990i 0.0287634 + 0.0831064i
\(206\) 22.4263 + 38.8434i 1.56251 + 2.70635i
\(207\) 1.87307 + 4.41493i 0.130187 + 0.306859i
\(208\) −7.52982 + 13.0420i −0.522099 + 0.904302i
\(209\) 0.558360 0.644382i 0.0386226 0.0445728i
\(210\) −1.81758 + 1.27966i −0.125425 + 0.0883048i
\(211\) −0.622024 4.32627i −0.0428219 0.297833i −0.999966 0.00822149i \(-0.997383\pi\)
0.957144 0.289611i \(-0.0935261\pi\)
\(212\) −33.6536 3.21353i −2.31134 0.220706i
\(213\) −6.63440 + 2.65601i −0.454581 + 0.181987i
\(214\) −19.1052 18.2168i −1.30601 1.24527i
\(215\) 1.69968 0.876247i 0.115917 0.0597596i
\(216\) 3.19479 6.99561i 0.217378 0.475991i
\(217\) −5.04502 + 5.23456i −0.342478 + 0.355345i
\(218\) −15.3551 17.7207i −1.03998 1.20020i
\(219\) 15.1187 2.91388i 1.02162 0.196902i
\(220\) 0.131265 + 0.541082i 0.00884989 + 0.0364797i
\(221\) −10.0447 + 0.959152i −0.675679 + 0.0645195i
\(222\) 4.86757 2.50941i 0.326690 0.168420i
\(223\) 13.1698 3.86701i 0.881917 0.258954i 0.190741 0.981640i \(-0.438911\pi\)
0.691176 + 0.722686i \(0.257093\pi\)
\(224\) −25.6649 18.4841i −1.71481 1.23502i
\(225\) −2.03472 4.45541i −0.135648 0.297027i
\(226\) 25.8779 + 10.3600i 1.72137 + 0.689134i
\(227\) −3.49838 1.80354i −0.232196 0.119705i 0.338203 0.941073i \(-0.390181\pi\)
−0.570399 + 0.821368i \(0.693211\pi\)
\(228\) 11.6366 + 2.24278i 0.770656 + 0.148532i
\(229\) −7.29069 + 12.6279i −0.481783 + 0.834472i −0.999781 0.0209094i \(-0.993344\pi\)
0.517999 + 0.855381i \(0.326677\pi\)
\(230\) −0.0823626 4.02844i −0.00543083 0.265628i
\(231\) −0.936270 + 0.0395682i −0.0616020 + 0.00260340i
\(232\) 17.1791 19.8257i 1.12786 1.30162i
\(233\) 1.00654 + 21.1299i 0.0659406 + 1.38426i 0.753171 + 0.657825i \(0.228523\pi\)
−0.687230 + 0.726440i \(0.741174\pi\)
\(234\) −2.99797 + 2.35763i −0.195983 + 0.154123i
\(235\) −0.381693 + 0.536013i −0.0248989 + 0.0349656i
\(236\) 49.2806 + 38.7547i 3.20789 + 2.52272i
\(237\) −16.7300 + 4.91236i −1.08673 + 0.319092i
\(238\) 0.259904 48.4578i 0.0168471 3.14105i
\(239\) 6.07906 13.3113i 0.393222 0.861036i −0.604691 0.796460i \(-0.706703\pi\)
0.997913 0.0645756i \(-0.0205693\pi\)
\(240\) −2.40094 + 2.28930i −0.154980 + 0.147773i
\(241\) −6.12354 + 17.6928i −0.394452 + 1.13969i 0.556631 + 0.830760i \(0.312094\pi\)
−0.951083 + 0.308935i \(0.900028\pi\)
\(242\) 9.35823 27.0388i 0.601570 1.73812i
\(243\) 0.723734 0.690079i 0.0464276 0.0442686i
\(244\) −11.1060 + 24.3188i −0.710989 + 1.55685i
\(245\) 0.0824000 + 2.23369i 0.00526434 + 0.142705i
\(246\) −9.95511 + 2.92308i −0.634715 + 0.186369i
\(247\) −2.74289 2.15703i −0.174526 0.137249i
\(248\) −12.2579 + 17.2138i −0.778377 + 1.09308i
\(249\) −5.33531 + 4.19573i −0.338111 + 0.265894i
\(250\) 0.395690 + 8.30655i 0.0250256 + 0.525353i
\(251\) 9.11714 10.5217i 0.575469 0.664126i −0.391156 0.920325i \(-0.627925\pi\)
0.966624 + 0.256198i \(0.0824700\pi\)
\(252\) −6.98287 10.9948i −0.439879 0.692605i
\(253\) 0.888957 1.44747i 0.0558882 0.0910015i
\(254\) 7.22428 12.5128i 0.453291 0.785124i
\(255\) −2.18261 0.420664i −0.136680 0.0263430i
\(256\) 9.20335 + 4.74465i 0.575209 + 0.296541i
\(257\) −18.4831 7.39952i −1.15295 0.461570i −0.285146 0.958484i \(-0.592042\pi\)
−0.867799 + 0.496915i \(0.834466\pi\)
\(258\) 6.54566 + 14.3330i 0.407515 + 0.892333i
\(259\) 0.552844 5.47893i 0.0343520 0.340444i
\(260\) 2.18632 0.641963i 0.135590 0.0398128i
\(261\) 3.03188 1.56304i 0.187668 0.0967498i
\(262\) 33.4302 3.19220i 2.06532 0.197214i
\(263\) −0.225031 0.927589i −0.0138760 0.0571976i 0.964453 0.264256i \(-0.0851263\pi\)
−0.978329 + 0.207058i \(0.933611\pi\)
\(264\) −2.67473 + 0.515511i −0.164618 + 0.0317275i
\(265\) 1.43598 + 1.65721i 0.0882116 + 0.101802i
\(266\) 11.6291 12.0661i 0.713029 0.739817i
\(267\) −2.29822 + 5.03240i −0.140649 + 0.307978i
\(268\) −51.1786 + 26.3844i −3.12623 + 1.61168i
\(269\) −21.8378 20.8223i −1.33147 1.26956i −0.936411 0.350904i \(-0.885874\pi\)
−0.395063 0.918654i \(-0.629277\pi\)
\(270\) −0.779981 + 0.312257i −0.0474681 + 0.0190034i
\(271\) 6.30721 + 0.602266i 0.383136 + 0.0365850i 0.284847 0.958573i \(-0.408057\pi\)
0.0982886 + 0.995158i \(0.468663\pi\)
\(272\) −10.2922 71.5842i −0.624059 4.34043i
\(273\) 0.344071 + 3.81966i 0.0208241 + 0.231177i
\(274\) −18.2418 + 21.0521i −1.10202 + 1.27180i
\(275\) −0.867424 + 1.50242i −0.0523077 + 0.0905995i
\(276\) 23.6007 + 0.641094i 1.42060 + 0.0385893i
\(277\) 4.34548 + 7.52659i 0.261094 + 0.452229i 0.966533 0.256542i \(-0.0825833\pi\)
−0.705439 + 0.708771i \(0.749250\pi\)
\(278\) −2.82402 8.15946i −0.169373 0.489372i
\(279\) −2.31160 + 1.48557i −0.138392 + 0.0889390i
\(280\) 1.19537 + 6.38632i 0.0714373 + 0.381656i
\(281\) −11.1474 24.4095i −0.665000 1.45615i −0.877788 0.479049i \(-0.840982\pi\)
0.212788 0.977098i \(-0.431746\pi\)
\(282\) −4.26207 3.35173i −0.253802 0.199592i
\(283\) −4.81596 4.59201i −0.286279 0.272967i 0.533308 0.845921i \(-0.320949\pi\)
−0.819587 + 0.572955i \(0.805797\pi\)
\(284\) −1.67396 + 35.1408i −0.0993313 + 2.08522i
\(285\) −0.445878 0.626148i −0.0264115 0.0370898i
\(286\) 1.29615 + 0.380585i 0.0766432 + 0.0225045i
\(287\) −2.99296 + 9.99447i −0.176669 + 0.589955i
\(288\) −7.82844 9.03450i −0.461295 0.532363i
\(289\) 22.7662 21.7076i 1.33919 1.27692i
\(290\) −2.85288 + 0.272417i −0.167527 + 0.0159969i
\(291\) 0.0371308 0.779471i 0.00217665 0.0456934i
\(292\) 17.8700 73.6610i 1.04576 4.31068i
\(293\) −2.40136 + 16.7018i −0.140289 + 0.975732i 0.791095 + 0.611693i \(0.209511\pi\)
−0.931384 + 0.364038i \(0.881398\pi\)
\(294\) −18.4169 0.197565i −1.07410 0.0115222i
\(295\) −0.578725 4.02512i −0.0336947 0.234351i
\(296\) −0.761638 15.9887i −0.0442693 0.929327i
\(297\) −0.347792 0.0670314i −0.0201809 0.00388956i
\(298\) −24.3753 42.2192i −1.41202 2.44569i
\(299\) −6.09020 3.35209i −0.352205 0.193857i
\(300\) −24.1126 −1.39214
\(301\) 15.6708 + 2.33898i 0.903251 + 0.134816i
\(302\) 37.1064 23.8468i 2.13523 1.37223i
\(303\) 5.97393 + 2.39160i 0.343193 + 0.137394i
\(304\) 14.5071 20.3723i 0.832038 1.16843i
\(305\) 1.60988 0.644498i 0.0921814 0.0369039i
\(306\) 4.31806 17.7993i 0.246847 1.01752i
\(307\) −17.0284 10.9435i −0.971860 0.624576i −0.0446039 0.999005i \(-0.514203\pi\)
−0.927256 + 0.374428i \(0.877839\pi\)
\(308\) −1.73753 + 4.27357i −0.0990051 + 0.243509i
\(309\) 16.3563 + 4.80263i 0.930476 + 0.273212i
\(310\) 2.26688 0.436906i 0.128750 0.0248146i
\(311\) −0.753571 + 2.17730i −0.0427311 + 0.123463i −0.964348 0.264638i \(-0.914748\pi\)
0.921617 + 0.388101i \(0.126869\pi\)
\(312\) 2.62821 + 10.8336i 0.148793 + 0.613332i
\(313\) 4.68776 + 6.58304i 0.264968 + 0.372095i 0.925529 0.378677i \(-0.123621\pi\)
−0.660561 + 0.750772i \(0.729682\pi\)
\(314\) 28.3089 + 18.1930i 1.59757 + 1.02669i
\(315\) −0.164332 + 0.828692i −0.00925905 + 0.0466915i
\(316\) −12.2159 + 84.9635i −0.687198 + 4.77957i
\(317\) −18.6549 1.78132i −1.04776 0.100049i −0.443053 0.896496i \(-0.646105\pi\)
−0.604709 + 0.796446i \(0.706711\pi\)
\(318\) −14.2029 + 11.1693i −0.796458 + 0.626341i
\(319\) −1.07387 0.553618i −0.0601251 0.0309966i
\(320\) 1.11489 + 3.22126i 0.0623242 + 0.180074i
\(321\) −10.0329 −0.559985
\(322\) 18.9532 27.4839i 1.05622 1.53162i
\(323\) 16.7572 0.932398
\(324\) −1.61013 4.65216i −0.0894515 0.258453i
\(325\) 6.31066 + 3.25337i 0.350052 + 0.180464i
\(326\) 14.9059 11.7221i 0.825562 0.649229i
\(327\) −8.87131 0.847108i −0.490585 0.0468452i
\(328\) −4.31589 + 30.0177i −0.238305 + 1.65745i
\(329\) −5.16184 + 1.75558i −0.284581 + 0.0967885i
\(330\) 0.250340 + 0.160884i 0.0137808 + 0.00885636i
\(331\) −12.9588 18.1981i −0.712279 1.00026i −0.999106 0.0422732i \(-0.986540\pi\)
0.286827 0.957982i \(-0.407399\pi\)
\(332\) 7.87767 + 32.4722i 0.432343 + 1.78214i
\(333\) 0.680745 1.96688i 0.0373046 0.107785i
\(334\) 13.8815 2.67543i 0.759559 0.146393i
\(335\) 3.58349 + 1.05221i 0.195787 + 0.0574882i
\(336\) −27.2281 + 3.76587i −1.48542 + 0.205445i
\(337\) 7.71873 + 4.96053i 0.420466 + 0.270217i 0.733720 0.679452i \(-0.237783\pi\)
−0.313254 + 0.949670i \(0.601419\pi\)
\(338\) −6.76071 + 27.8680i −0.367734 + 1.51582i
\(339\) 9.83524 3.93744i 0.534177 0.213852i
\(340\) −6.34730 + 8.91353i −0.344230 + 0.483404i
\(341\) 0.903535 + 0.361721i 0.0489292 + 0.0195883i
\(342\) 5.32840 3.42436i 0.288127 0.185168i
\(343\) −10.2622 + 15.4171i −0.554106 + 0.832446i
\(344\) 46.0561 2.48318
\(345\) −1.07921 1.08648i −0.0581026 0.0584941i
\(346\) −28.9810 50.1966i −1.55803 2.69859i
\(347\) 17.9850 + 3.46633i 0.965488 + 0.186082i 0.647545 0.762027i \(-0.275796\pi\)
0.317943 + 0.948110i \(0.397008\pi\)
\(348\) −0.799014 16.7734i −0.0428316 0.899146i
\(349\) 0.786949 + 5.47335i 0.0421244 + 0.292982i 0.999984 + 0.00574322i \(0.00182813\pi\)
−0.957859 + 0.287238i \(0.907263\pi\)
\(350\) −18.5878 + 28.5849i −0.993559 + 1.52793i
\(351\) −0.206291 + 1.43479i −0.0110110 + 0.0765834i
\(352\) −0.998238 + 4.11479i −0.0532062 + 0.219319i
\(353\) −1.39178 + 29.2170i −0.0740770 + 1.55507i 0.590001 + 0.807403i \(0.299128\pi\)
−0.664077 + 0.747664i \(0.731176\pi\)
\(354\) 33.3561 3.18512i 1.77286 0.169287i
\(355\) 1.65150 1.57471i 0.0876528 0.0835767i
\(356\) 17.8353 + 20.5830i 0.945269 + 1.09090i
\(357\) −12.6377 13.3972i −0.668859 0.709055i
\(358\) 23.5597 + 6.91775i 1.24517 + 0.365614i
\(359\) 6.53467 + 9.17665i 0.344886 + 0.484325i 0.950191 0.311669i \(-0.100888\pi\)
−0.605304 + 0.795994i \(0.706949\pi\)
\(360\) −0.116848 + 2.45294i −0.00615843 + 0.129281i
\(361\) −9.55692 9.11251i −0.502996 0.479606i
\(362\) 31.0310 + 24.4030i 1.63095 + 1.28259i
\(363\) −4.51745 9.89184i −0.237105 0.519187i
\(364\) 17.8082 + 6.27065i 0.933406 + 0.328671i
\(365\) −4.13599 + 2.65804i −0.216488 + 0.139128i
\(366\) 4.67343 + 13.5030i 0.244284 + 0.705813i
\(367\) 3.32833 + 5.76484i 0.173737 + 0.300922i 0.939724 0.341935i \(-0.111082\pi\)
−0.765986 + 0.642857i \(0.777749\pi\)
\(368\) 21.9211 44.7437i 1.14272 2.33243i
\(369\) −1.97165 + 3.41500i −0.102640 + 0.177778i
\(370\) −1.14514 + 1.32156i −0.0595331 + 0.0687049i
\(371\) 1.63003 + 18.0957i 0.0846272 + 0.939479i
\(372\) 1.92512 + 13.3895i 0.0998128 + 0.694213i
\(373\) 14.7039 + 1.40405i 0.761338 + 0.0726990i 0.468500 0.883463i \(-0.344794\pi\)
0.292838 + 0.956162i \(0.405401\pi\)
\(374\) −6.02255 + 2.41107i −0.311419 + 0.124673i
\(375\) 2.28743 + 2.18106i 0.118122 + 0.112629i
\(376\) −14.0866 + 7.26213i −0.726459 + 0.374516i
\(377\) −2.05401 + 4.49766i −0.105787 + 0.231641i
\(378\) −6.75622 1.67746i −0.347502 0.0862793i
\(379\) −10.7221 12.3740i −0.550759 0.635610i 0.410301 0.911950i \(-0.365424\pi\)
−0.961060 + 0.276341i \(0.910878\pi\)
\(380\) −3.71576 + 0.716154i −0.190614 + 0.0367379i
\(381\) −1.29464 5.33657i −0.0663263 0.273401i
\(382\) −2.70311 + 0.258116i −0.138303 + 0.0132064i
\(383\) −2.72054 + 1.40254i −0.139013 + 0.0716662i −0.526330 0.850280i \(-0.676432\pi\)
0.387317 + 0.921947i \(0.373402\pi\)
\(384\) −4.00986 + 1.17740i −0.204627 + 0.0600840i
\(385\) 0.272854 0.122844i 0.0139059 0.00626070i
\(386\) 22.2130 + 48.6397i 1.13061 + 2.47569i
\(387\) 5.55965 + 2.22575i 0.282613 + 0.113141i
\(388\) −3.41457 1.76033i −0.173348 0.0893673i
\(389\) −17.7265 3.41650i −0.898769 0.173223i −0.281115 0.959674i \(-0.590704\pi\)
−0.617653 + 0.786450i \(0.711917\pi\)
\(390\) 0.608927 1.05469i 0.0308342 0.0534064i
\(391\) 32.9403 5.42553i 1.66586 0.274381i
\(392\) −22.8875 + 48.7266i −1.15599 + 2.46106i
\(393\) 8.35823 9.64591i 0.421617 0.486572i
\(394\) 3.19807 + 67.1356i 0.161116 + 3.38225i
\(395\) 4.37648 3.44170i 0.220205 0.173171i
\(396\) −1.01142 + 1.42034i −0.0508258 + 0.0713749i
\(397\) −28.3761 22.3152i −1.42416 1.11997i −0.973876 0.227082i \(-0.927081\pi\)
−0.450281 0.892887i \(-0.648676\pi\)
\(398\) 49.8820 14.6467i 2.50036 0.734171i
\(399\) 0.0341600 6.36896i 0.00171014 0.318847i
\(400\) −21.1392 + 46.2883i −1.05696 + 2.31442i
\(401\) 1.41396 1.34821i 0.0706097 0.0673262i −0.653953 0.756536i \(-0.726890\pi\)
0.724562 + 0.689209i \(0.242042\pi\)
\(402\) −10.0653 + 29.0818i −0.502012 + 1.45047i
\(403\) 1.30273 3.76399i 0.0648936 0.187498i
\(404\) 22.9267 21.8605i 1.14064 1.08760i
\(405\) −0.132648 + 0.290459i −0.00659135 + 0.0144330i
\(406\) −20.5003 11.9829i −1.01741 0.594703i
\(407\) −0.707339 + 0.207694i −0.0350615 + 0.0102950i
\(408\) −42.0812 33.0931i −2.08333 1.63835i
\(409\) 17.9237 25.1703i 0.886270 1.24459i −0.0824901 0.996592i \(-0.526287\pi\)
0.968760 0.248000i \(-0.0797733\pi\)
\(410\) 2.60421 2.04797i 0.128613 0.101142i
\(411\) 0.503750 + 10.5750i 0.0248482 + 0.521627i
\(412\) 54.9558 63.4224i 2.70748 3.12460i
\(413\) 15.5998 29.8651i 0.767618 1.46957i
\(414\) 9.36553 8.45658i 0.460291 0.415618i
\(415\) 1.08367 1.87697i 0.0531953 0.0921369i
\(416\) 17.0152 + 3.27941i 0.834239 + 0.160786i
\(417\) −2.91680 1.50371i −0.142836 0.0736372i
\(418\) −2.08272 0.833793i −0.101869 0.0407822i
\(419\) −15.3308 33.5697i −0.748958 1.63999i −0.768229 0.640175i \(-0.778862\pi\)
0.0192713 0.999814i \(-0.493865\pi\)
\(420\) 3.37485 + 2.43060i 0.164676 + 0.118601i
\(421\) −2.34513 + 0.688592i −0.114295 + 0.0335599i −0.338380 0.941010i \(-0.609879\pi\)
0.224085 + 0.974570i \(0.428061\pi\)
\(422\) −10.2217 + 5.26965i −0.497584 + 0.256523i
\(423\) −2.05141 + 0.195886i −0.0997431 + 0.00952431i
\(424\) 12.4511 + 51.3242i 0.604680 + 2.49252i
\(425\) −33.4795 + 6.45264i −1.62399 + 0.312999i
\(426\) 12.3133 + 14.2103i 0.596582 + 0.688492i
\(427\) 13.9448 + 3.46228i 0.674837 + 0.167551i
\(428\) −20.5179 + 44.9279i −0.991770 + 2.17167i
\(429\) 0.456344 0.235261i 0.0220325 0.0113585i
\(430\) −3.64141 3.47208i −0.175604 0.167439i
\(431\) 7.42666 2.97319i 0.357730 0.143213i −0.185834 0.982581i \(-0.559499\pi\)
0.543564 + 0.839368i \(0.317075\pi\)
\(432\) −10.3422 0.987559i −0.497589 0.0475140i
\(433\) −2.29091 15.9336i −0.110094 0.765721i −0.967825 0.251623i \(-0.919036\pi\)
0.857731 0.514098i \(-0.171873\pi\)
\(434\) 17.3569 + 8.03944i 0.833160 + 0.385905i
\(435\) −0.713278 + 0.823166i −0.0341991 + 0.0394678i
\(436\) −21.9357 + 37.9937i −1.05053 + 1.81957i
\(437\) 9.53911 + 6.50306i 0.456318 + 0.311084i
\(438\) −20.2557 35.0839i −0.967856 1.67638i
\(439\) −2.13480 6.16810i −0.101888 0.294387i 0.882523 0.470270i \(-0.155843\pi\)
−0.984411 + 0.175882i \(0.943722\pi\)
\(440\) 0.731722 0.470249i 0.0348835 0.0224182i
\(441\) −5.11766 + 4.77593i −0.243698 + 0.227425i
\(442\) 11.0290 + 24.1500i 0.524594 + 1.14870i
\(443\) −23.8264 18.7373i −1.13202 0.890234i −0.137070 0.990561i \(-0.543769\pi\)
−0.994954 + 0.100328i \(0.968011\pi\)
\(444\) −7.41562 7.07078i −0.351930 0.335564i
\(445\) 0.0840564 1.76456i 0.00398466 0.0836482i
\(446\) −20.9485 29.4181i −0.991941 1.39299i
\(447\) −17.7777 5.22002i −0.840858 0.246898i
\(448\) −8.10244 + 27.0567i −0.382804 + 1.27831i
\(449\) 9.38064 + 10.8258i 0.442700 + 0.510903i 0.932618 0.360866i \(-0.117519\pi\)
−0.489918 + 0.871768i \(0.662973\pi\)
\(450\) −9.32708 + 8.89335i −0.439683 + 0.419236i
\(451\) 1.39036 0.132764i 0.0654697 0.00625159i
\(452\) 2.48158 52.0948i 0.116724 2.45034i
\(453\) 3.95226 16.2914i 0.185693 0.765439i
\(454\) −1.47380 + 10.2505i −0.0691691 + 0.481082i
\(455\) −0.555305 1.09148i −0.0260331 0.0511692i
\(456\) −2.63473 18.3249i −0.123383 0.858144i
\(457\) 1.15452 + 24.2363i 0.0540059 + 1.13372i 0.849440 + 0.527685i \(0.176940\pi\)
−0.795434 + 0.606040i \(0.792757\pi\)
\(458\) 37.6724 + 7.26076i 1.76032 + 0.339273i
\(459\) −3.48054 6.02847i −0.162458 0.281385i
\(460\) −7.07233 + 2.61083i −0.329749 + 0.121731i
\(461\) 0.697701 0.0324952 0.0162476 0.999868i \(-0.494828\pi\)
0.0162476 + 0.999868i \(0.494828\pi\)
\(462\) 0.904102 + 2.29392i 0.0420626 + 0.106723i
\(463\) 15.1982 9.76732i 0.706322 0.453926i −0.137532 0.990497i \(-0.543917\pi\)
0.843855 + 0.536571i \(0.180281\pi\)
\(464\) −32.8998 13.1711i −1.52734 0.611453i
\(465\) 0.508951 0.714721i 0.0236020 0.0331444i
\(466\) 51.6718 20.6863i 2.39365 0.958273i
\(467\) −1.05746 + 4.35892i −0.0489336 + 0.201707i −0.991031 0.133633i \(-0.957336\pi\)
0.942097 + 0.335339i \(0.108851\pi\)
\(468\) 6.00316 + 3.85800i 0.277496 + 0.178336i
\(469\) 18.9983 + 24.4268i 0.877261 + 1.12793i
\(470\) 1.66123 + 0.487781i 0.0766268 + 0.0224997i
\(471\) 12.5583 2.42042i 0.578658 0.111527i
\(472\) 32.0332 92.5538i 1.47445 4.26014i
\(473\) −0.500074 2.06133i −0.0229934 0.0947803i
\(474\) 26.6114 + 37.3705i 1.22230 + 1.71649i
\(475\) −9.91916 6.37466i −0.455122 0.292489i
\(476\) −85.8379 + 29.1942i −3.93437 + 1.33811i
\(477\) −0.977305 + 6.79731i −0.0447477 + 0.311227i
\(478\) −38.3290 3.65998i −1.75313 0.167404i
\(479\) 18.4220 14.4872i 0.841723 0.661938i −0.101231 0.994863i \(-0.532278\pi\)
0.942953 + 0.332925i \(0.108036\pi\)
\(480\) 3.39287 + 1.74915i 0.154863 + 0.0798372i
\(481\) 0.986769 + 2.85108i 0.0449928 + 0.129998i
\(482\) 49.2617 2.24381
\(483\) −1.99494 12.5308i −0.0907731 0.570170i
\(484\) −53.5344 −2.43338
\(485\) 0.0814985 + 0.235475i 0.00370066 + 0.0106923i
\(486\) −2.33865 1.20566i −0.106083 0.0546898i
\(487\) −4.27083 + 3.35862i −0.193530 + 0.152194i −0.710222 0.703978i \(-0.751406\pi\)
0.516692 + 0.856171i \(0.327163\pi\)
\(488\) 41.5760 + 3.97003i 1.88206 + 0.179715i
\(489\) 1.02568 7.13377i 0.0463829 0.322600i
\(490\) 5.48300 2.12711i 0.247697 0.0960930i
\(491\) −12.6971 8.15995i −0.573013 0.368253i 0.221814 0.975089i \(-0.428802\pi\)
−0.794827 + 0.606836i \(0.792439\pi\)
\(492\) 11.2604 + 15.8130i 0.507656 + 0.712904i
\(493\) −5.59803 23.0754i −0.252122 1.03926i
\(494\) −3.00289 + 8.67628i −0.135106 + 0.390364i
\(495\) 0.111055 0.0214041i 0.00499156 0.000962045i
\(496\) 27.3912 + 8.04278i 1.22990 + 0.361131i
\(497\) 18.7290 2.59038i 0.840113 0.116194i
\(498\) 15.0238 + 9.65519i 0.673231 + 0.432659i
\(499\) −10.1041 + 41.6496i −0.452321 + 1.86449i 0.0483124 + 0.998832i \(0.484616\pi\)
−0.500633 + 0.865660i \(0.666899\pi\)
\(500\) 14.4448 5.78282i 0.645990 0.258615i
\(501\) 3.11660 4.37665i 0.139239 0.195535i
\(502\) −34.0074 13.6145i −1.51783 0.607646i
\(503\) −34.9102 + 22.4354i −1.55657 + 1.00035i −0.573053 + 0.819518i \(0.694241\pi\)
−0.983515 + 0.180827i \(0.942123\pi\)
\(504\) −12.6635 + 15.9264i −0.564079 + 0.709420i
\(505\) −2.05475 −0.0914353
\(506\) −4.36403 0.964694i −0.194005 0.0428859i
\(507\) 5.44941 + 9.43866i 0.242017 + 0.419186i
\(508\) −26.5450 5.11612i −1.17774 0.226991i
\(509\) −0.313910 6.58979i −0.0139138 0.292087i −0.995090 0.0989730i \(-0.968444\pi\)
0.981176 0.193114i \(-0.0618588\pi\)
\(510\) 0.832321 + 5.78892i 0.0368558 + 0.256338i
\(511\) −40.6792 2.15653i −1.79954 0.0953991i
\(512\) 5.06672 35.2398i 0.223919 1.55739i
\(513\) 0.567537 2.33942i 0.0250574 0.103288i
\(514\) −2.49254 + 52.3248i −0.109941 + 2.30795i
\(515\) −5.41865 + 0.517418i −0.238774 + 0.0228002i
\(516\) 21.3367 20.3445i 0.939297 0.895618i
\(517\) 0.477983 + 0.551622i 0.0210217 + 0.0242603i
\(518\) −14.0987 + 3.34035i −0.619463 + 0.146767i
\(519\) −21.1369 6.20635i −0.927807 0.272429i
\(520\) −2.06482 2.89963i −0.0905481 0.127157i
\(521\) 1.05985 22.2489i 0.0464327 0.974742i −0.848681 0.528905i \(-0.822603\pi\)
0.895114 0.445837i \(-0.147094\pi\)
\(522\) −6.49551 6.19346i −0.284301 0.271080i
\(523\) 25.9845 + 20.4344i 1.13622 + 0.893535i 0.995334 0.0964903i \(-0.0307617\pi\)
0.140888 + 0.990025i \(0.455004\pi\)
\(524\) −26.1017 57.1549i −1.14026 2.49682i
\(525\) 2.38422 + 12.7378i 0.104056 + 0.555922i
\(526\) −2.11273 + 1.35777i −0.0921196 + 0.0592017i
\(527\) 6.25605 + 18.0757i 0.272518 + 0.787388i
\(528\) 1.83989 + 3.18679i 0.0800711 + 0.138687i
\(529\) 20.8569 + 9.69482i 0.906822 + 0.421514i
\(530\) 2.88479 4.99660i 0.125307 0.217038i
\(531\) 8.33971 9.62454i 0.361913 0.417670i
\(532\) −28.4506 13.1778i −1.23349 0.571331i
\(533\) −0.813469 5.65780i −0.0352353 0.245067i
\(534\) 14.4905 + 1.38367i 0.627064 + 0.0598774i
\(535\) 2.97419 1.19068i 0.128585 0.0514778i
\(536\) 65.1004 + 62.0731i 2.81191 + 2.68115i
\(537\) 8.29478 4.27626i 0.357946 0.184534i
\(538\) −32.9804 + 72.2171i −1.42189 + 3.11350i
\(539\) 2.42937 + 0.495307i 0.104640 + 0.0213344i
\(540\) 1.02941 + 1.18801i 0.0442990 + 0.0511237i
\(541\) 16.5109 3.18222i 0.709861 0.136814i 0.178475 0.983944i \(-0.442884\pi\)
0.531386 + 0.847130i \(0.321672\pi\)
\(542\) −3.93026 16.2007i −0.168819 0.695881i
\(543\) 14.9358 1.42619i 0.640956 0.0612039i
\(544\) −73.9647 + 38.1314i −3.17121 + 1.63487i
\(545\) 2.73036 0.801707i 0.116956 0.0343413i
\(546\) 9.20124 4.14257i 0.393777 0.177286i
\(547\) −9.30748 20.3805i −0.397959 0.871409i −0.997473 0.0710445i \(-0.977367\pi\)
0.599514 0.800364i \(-0.295360\pi\)
\(548\) 48.3855 + 19.3706i 2.06693 + 0.827473i
\(549\) 4.82697 + 2.48848i 0.206010 + 0.106206i
\(550\) 4.48215 + 0.863863i 0.191119 + 0.0368352i
\(551\) 4.10569 7.11126i 0.174908 0.302950i
\(552\) −11.1123 35.1690i −0.472971 1.49689i
\(553\) 46.0909 1.94787i 1.95998 0.0828320i
\(554\) 14.9748 17.2818i 0.636218 0.734235i
\(555\) 0.0316234 + 0.663856i 0.00134234 + 0.0281791i
\(556\) −12.6987 + 9.98636i −0.538544 + 0.423516i
\(557\) −17.0262 + 23.9100i −0.721424 + 1.01310i 0.277208 + 0.960810i \(0.410591\pi\)
−0.998632 + 0.0522882i \(0.983349\pi\)
\(558\) 5.68305 + 4.46920i 0.240583 + 0.189196i
\(559\) −8.32913 + 2.44565i −0.352285 + 0.103440i
\(560\) 7.62464 4.34773i 0.322200 0.183725i
\(561\) −1.02423 + 2.24275i −0.0432431 + 0.0946892i
\(562\) −51.0994 + 48.7232i −2.15550 + 2.05527i
\(563\) 2.29292 6.62495i 0.0966350 0.279208i −0.886315 0.463084i \(-0.846743\pi\)
0.982950 + 0.183875i \(0.0588642\pi\)
\(564\) −3.31806 + 9.58690i −0.139715 + 0.403681i
\(565\) −2.44829 + 2.33444i −0.103000 + 0.0982108i
\(566\) −7.27328 + 15.9263i −0.305719 + 0.669431i
\(567\) −2.29835 + 1.31057i −0.0965216 + 0.0550387i
\(568\) 52.7331 15.4838i 2.21263 0.649687i
\(569\) −36.2818 28.5323i −1.52101 1.19614i −0.916821 0.399297i \(-0.869254\pi\)
−0.604191 0.796840i \(-0.706503\pi\)
\(570\) −1.17317 + 1.64748i −0.0491386 + 0.0690055i
\(571\) −13.2802 + 10.4436i −0.555758 + 0.437053i −0.856123 0.516771i \(-0.827134\pi\)
0.300366 + 0.953824i \(0.402891\pi\)
\(572\) −0.120264 2.52465i −0.00502848 0.105561i
\(573\) −0.675833 + 0.779953i −0.0282333 + 0.0325830i
\(574\) 27.4262 1.15907i 1.14475 0.0483788i
\(575\) −21.5624 9.31936i −0.899215 0.388644i
\(576\) −5.33758 + 9.24496i −0.222399 + 0.385207i
\(577\) −7.76212 1.49603i −0.323141 0.0622804i 0.0251011 0.999685i \(-0.492009\pi\)
−0.348242 + 0.937405i \(0.613221\pi\)
\(578\) −73.5661 37.9260i −3.05995 1.57751i
\(579\) 18.8669 + 7.55317i 0.784082 + 0.313899i
\(580\) 2.22748 + 4.87750i 0.0924911 + 0.202527i
\(581\) 16.3749 7.37228i 0.679345 0.305854i
\(582\) −1.97006 + 0.578460i −0.0816614 + 0.0239780i
\(583\) 2.16193 1.11455i 0.0895379 0.0461600i
\(584\) −117.875 + 11.2557i −4.87771 + 0.465765i
\(585\) −0.109124 0.449814i −0.00451171 0.0185975i
\(586\) 43.5945 8.40215i 1.80087 0.347090i
\(587\) 19.3076 + 22.2822i 0.796910 + 0.919683i 0.998208 0.0598470i \(-0.0190613\pi\)
−0.201298 + 0.979530i \(0.564516\pi\)
\(588\) 10.9209 + 32.6841i 0.450371 + 1.34787i
\(589\) −2.74785 + 6.01696i −0.113223 + 0.247924i
\(590\) −9.51015 + 4.90282i −0.391527 + 0.201846i
\(591\) 18.4876 + 17.6279i 0.760477 + 0.725114i
\(592\) −20.0747 + 8.03672i −0.825067 + 0.330307i
\(593\) −43.0492 4.11070i −1.76782 0.168806i −0.840185 0.542299i \(-0.817554\pi\)
−0.927633 + 0.373493i \(0.878160\pi\)
\(594\) 0.132628 + 0.922446i 0.00544178 + 0.0378484i
\(595\) 5.33629 + 2.47168i 0.218767 + 0.101329i
\(596\) −59.7318 + 68.9342i −2.44671 + 2.82365i
\(597\) 9.87933 17.1115i 0.404334 0.700327i
\(598\) −3.09376 + 18.0275i −0.126513 + 0.737201i
\(599\) 16.4040 + 28.4125i 0.670249 + 1.16091i 0.977833 + 0.209384i \(0.0671460\pi\)
−0.307585 + 0.951521i \(0.599521\pi\)
\(600\) 12.3203 + 35.5971i 0.502973 + 1.45324i
\(601\) −5.56688 + 3.57762i −0.227078 + 0.145934i −0.649233 0.760589i \(-0.724910\pi\)
0.422155 + 0.906524i \(0.361274\pi\)
\(602\) −7.67001 40.9772i −0.312606 1.67011i
\(603\) 4.85878 + 10.6392i 0.197865 + 0.433263i
\(604\) −64.8711 51.0152i −2.63957 2.07578i
\(605\) 2.51310 + 2.39624i 0.102172 + 0.0974208i
\(606\) 0.805613 16.9119i 0.0327258 0.686999i
\(607\) −8.74791 12.2847i −0.355067 0.498621i 0.597952 0.801532i \(-0.295981\pi\)
−0.953019 + 0.302910i \(0.902042\pi\)
\(608\) −27.6118 8.10754i −1.11980 0.328804i
\(609\) −8.78172 + 2.08061i −0.355853 + 0.0843108i
\(610\) −2.98790 3.44822i −0.120977 0.139615i
\(611\) 2.16189 2.06136i 0.0874608 0.0833937i
\(612\) −34.1136 + 3.25745i −1.37896 + 0.131675i
\(613\) 1.49597 31.4042i 0.0604215 1.26840i −0.741491 0.670963i \(-0.765881\pi\)
0.801913 0.597441i \(-0.203816\pi\)
\(614\) −12.5562 + 51.7574i −0.506727 + 2.08876i
\(615\) 0.179197 1.24634i 0.00722590 0.0502572i
\(616\) 7.19679 + 0.381523i 0.289967 + 0.0153720i
\(617\) 1.88815 + 13.1324i 0.0760142 + 0.528690i 0.991877 + 0.127199i \(0.0405987\pi\)
−0.915863 + 0.401491i \(0.868492\pi\)
\(618\) −2.13417 44.8017i −0.0858489 1.80219i
\(619\) 1.09187 + 0.210441i 0.0438861 + 0.00845836i 0.211147 0.977454i \(-0.432280\pi\)
−0.167261 + 0.985913i \(0.553492\pi\)
\(620\) −2.15972 3.74074i −0.0867364 0.150232i
\(621\) 0.358190 4.78244i 0.0143737 0.191913i
\(622\) 6.06220 0.243072
\(623\) 9.10971 11.4569i 0.364973 0.459012i
\(624\) 12.6690 8.14186i 0.507165 0.325935i
\(625\) 21.7990 + 8.72699i 0.871959 + 0.349080i
\(626\) 12.3342 17.3209i 0.492972 0.692283i
\(627\) −0.791563 + 0.316894i −0.0316120 + 0.0126555i
\(628\) 14.8437 61.1866i 0.592328 2.44161i
\(629\) −12.1885 7.83307i −0.485987 0.312325i
\(630\) 2.20190 0.304541i 0.0877259 0.0121332i
\(631\) −16.7954 4.93158i −0.668615 0.196323i −0.0702286 0.997531i \(-0.522373\pi\)
−0.598386 + 0.801208i \(0.704191\pi\)
\(632\) 131.672 25.3777i 5.23763 1.00947i
\(633\) −1.42954 + 4.13037i −0.0568190 + 0.164168i
\(634\) 11.6245 + 47.9170i 0.461669 + 1.90303i
\(635\) 1.01712 + 1.42834i 0.0403630 + 0.0566819i
\(636\) 28.4400 + 18.2773i 1.12772 + 0.724740i
\(637\) 1.55169 10.0275i 0.0614802 0.397302i
\(638\) −0.452402 + 3.14652i −0.0179108 + 0.124572i
\(639\) 7.11394 + 0.679299i 0.281423 + 0.0268727i
\(640\) 1.04896 0.824911i 0.0414638 0.0326075i
\(641\) 13.9206 + 7.17658i 0.549832 + 0.283458i 0.710673 0.703522i \(-0.248391\pi\)
−0.160842 + 0.986980i \(0.551421\pi\)
\(642\) 8.63398 + 24.9462i 0.340756 + 0.984550i
\(643\) 26.3530 1.03926 0.519631 0.854391i \(-0.326069\pi\)
0.519631 + 0.854391i \(0.326069\pi\)
\(644\) −60.1930 16.6926i −2.37194 0.657782i
\(645\) −1.91226 −0.0752951
\(646\) −14.4207 41.6657i −0.567373 1.63932i
\(647\) −7.10688 3.66385i −0.279400 0.144041i 0.312831 0.949809i \(-0.398723\pi\)
−0.592232 + 0.805768i \(0.701753\pi\)
\(648\) −6.04522 + 4.75401i −0.237479 + 0.186755i
\(649\) −4.49025 0.428767i −0.176258 0.0168306i
\(650\) 2.65857 18.4907i 0.104278 0.725267i
\(651\) 6.88281 2.34090i 0.269759 0.0917472i
\(652\) −29.8477 19.1820i −1.16893 0.751224i
\(653\) −0.662520 0.930380i −0.0259264 0.0364086i 0.801409 0.598116i \(-0.204084\pi\)
−0.827336 + 0.561708i \(0.810145\pi\)
\(654\) 5.52804 + 22.7869i 0.216164 + 0.891039i
\(655\) −1.33298 + 3.85139i −0.0520838 + 0.150486i
\(656\) 40.2275 7.75322i 1.57062 0.302712i
\(657\) −14.7732 4.33781i −0.576358 0.169234i
\(658\) 8.80722 + 11.3238i 0.343341 + 0.441446i
\(659\) 18.3722 + 11.8071i 0.715680 + 0.459940i 0.847132 0.531383i \(-0.178327\pi\)
−0.131452 + 0.991323i \(0.541964\pi\)
\(660\) 0.131265 0.541082i 0.00510949 0.0210616i
\(661\) −23.1818 + 9.28061i −0.901669 + 0.360974i −0.775731 0.631064i \(-0.782618\pi\)
−0.125938 + 0.992038i \(0.540194\pi\)
\(662\) −34.0964 + 47.8817i −1.32519 + 1.86097i
\(663\) 9.36759 + 3.75022i 0.363807 + 0.145646i
\(664\) 43.9131 28.2213i 1.70416 1.09520i
\(665\) 0.745726 + 1.89208i 0.0289180 + 0.0733718i
\(666\) −5.47635 −0.212204
\(667\) 5.76828 15.3082i 0.223349 0.592735i
\(668\) −13.2252 22.9067i −0.511699 0.886288i
\(669\) −13.4778 2.59763i −0.521081 0.100430i
\(670\) −0.467574 9.81559i −0.0180640 0.379209i
\(671\) −0.273743 1.90393i −0.0105677 0.0735002i
\(672\) 14.3419 + 28.1896i 0.553252 + 1.08744i
\(673\) 3.52683 24.5296i 0.135949 0.945549i −0.801641 0.597806i \(-0.796039\pi\)
0.937590 0.347742i \(-0.113052\pi\)
\(674\) 5.69156 23.4609i 0.219231 0.903681i
\(675\) −0.233058 + 4.89249i −0.00897041 + 0.188312i
\(676\) 53.4110 5.10013i 2.05427 0.196159i
\(677\) 7.07735 6.74824i 0.272004 0.259356i −0.541783 0.840518i \(-0.682251\pi\)
0.813787 + 0.581163i \(0.197402\pi\)
\(678\) −18.2540 21.0662i −0.701041 0.809044i
\(679\) −0.592289 + 1.97785i −0.0227300 + 0.0759027i
\(680\) 16.4020 + 4.81607i 0.628990 + 0.184688i
\(681\) 2.28305 + 3.20610i 0.0874868 + 0.122858i
\(682\) 0.121846 2.55786i 0.00466572 0.0979456i
\(683\) 4.75101 + 4.53008i 0.181792 + 0.173339i 0.775511 0.631334i \(-0.217492\pi\)
−0.593719 + 0.804673i \(0.702341\pi\)
\(684\) −9.31536 7.32568i −0.356182 0.280104i
\(685\) −1.40435 3.07510i −0.0536574 0.117493i
\(686\) 47.1649 + 12.2489i 1.80076 + 0.467663i
\(687\) 12.2666 7.88329i 0.468002 0.300766i
\(688\) −20.3492 58.7953i −0.775808 2.24155i
\(689\) −4.97716 8.62069i −0.189615 0.328422i
\(690\) −1.77273 + 3.61836i −0.0674868 + 0.137749i
\(691\) −5.09819 + 8.83033i −0.193944 + 0.335922i −0.946554 0.322545i \(-0.895461\pi\)
0.752610 + 0.658467i \(0.228795\pi\)
\(692\) −71.0183 + 81.9595i −2.69971 + 3.11563i
\(693\) 0.850321 + 0.393854i 0.0323010 + 0.0149613i
\(694\) −6.85845 47.7016i −0.260343 1.81073i
\(695\) 1.04312 + 0.0996057i 0.0395677 + 0.00377826i
\(696\) −24.3540 + 9.74987i −0.923136 + 0.369568i
\(697\) 19.8662 + 18.9424i 0.752487 + 0.717495i
\(698\) 12.9319 6.66685i 0.489479 0.252344i
\(699\) 8.78762 19.2422i 0.332378 0.727807i
\(700\) 61.9161 + 15.3728i 2.34021 + 0.581036i
\(701\) −24.1485 27.8689i −0.912076 1.05259i −0.998412 0.0563263i \(-0.982061\pi\)
0.0863359 0.996266i \(-0.472484\pi\)
\(702\) 3.74503 0.721796i 0.141347 0.0272424i
\(703\) −1.18125 4.86916i −0.0445516 0.183644i
\(704\) 3.76394 0.359413i 0.141859 0.0135459i
\(705\) 0.584877 0.301525i 0.0220278 0.0113561i
\(706\) 73.8439 21.6825i 2.77915 0.816033i
\(707\) −13.8150 9.94975i −0.519568 0.374199i
\(708\) −26.0439 57.0282i −0.978791 2.14325i
\(709\) 20.4015 + 8.16753i 0.766194 + 0.306738i 0.721639 0.692269i \(-0.243389\pi\)
0.0445547 + 0.999007i \(0.485813\pi\)
\(710\) −5.33662 2.75122i −0.200280 0.103251i
\(711\) 17.1212 + 3.29983i 0.642094 + 0.123753i
\(712\) 21.2735 36.8468i 0.797259 1.38089i
\(713\) −3.45343 + 12.7174i −0.129332 + 0.476272i
\(714\) −22.4357 + 42.9519i −0.839634 + 1.60744i
\(715\) −0.107359 + 0.123899i −0.00401500 + 0.00463356i
\(716\) −2.18599 45.8895i −0.0816941 1.71497i
\(717\) −11.5029 + 9.04596i −0.429583 + 0.337828i
\(718\) 17.1936 24.1451i 0.641661 0.901087i
\(719\) −5.57386 4.38333i −0.207870 0.163471i 0.508797 0.860887i \(-0.330091\pi\)
−0.716666 + 0.697416i \(0.754333\pi\)
\(720\) 3.18306 0.934631i 0.118626 0.0348316i
\(721\) −38.9376 22.7599i −1.45011 0.847625i
\(722\) −14.4333 + 31.6045i −0.537152 + 1.17620i
\(723\) 13.5501 12.9200i 0.503935 0.480501i
\(724\) 24.1579 69.7997i 0.897821 2.59408i
\(725\) −5.46450 + 15.7886i −0.202946 + 0.586375i
\(726\) −20.7078 + 19.7449i −0.768540 + 0.732801i
\(727\) −13.6166 + 29.8161i −0.505010 + 1.10582i 0.469798 + 0.882774i \(0.344327\pi\)
−0.974808 + 0.223044i \(0.928401\pi\)
\(728\) 0.158192 29.4940i 0.00586297 1.09312i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) 10.1683 + 7.99645i 0.376346 + 0.295962i
\(731\) 24.1810 33.9575i 0.894366 1.25596i
\(732\) 21.0149 16.5263i 0.776733 0.610830i
\(733\) 1.53709 + 32.2675i 0.0567737 + 1.19183i 0.830024 + 0.557727i \(0.188326\pi\)
−0.773251 + 0.634100i \(0.781371\pi\)
\(734\) 11.4696 13.2367i 0.423352 0.488574i
\(735\) 0.950294 2.02314i 0.0350521 0.0746246i
\(736\) −56.9025 6.99738i −2.09745 0.257927i
\(737\) 2.07135 3.58769i 0.0762993 0.132154i
\(738\) 10.1879 + 1.96355i 0.375021 + 0.0722794i
\(739\) −47.9575 24.7238i −1.76415 0.909481i −0.938489 0.345310i \(-0.887774\pi\)
−0.825658 0.564171i \(-0.809196\pi\)
\(740\) 3.03744 + 1.21601i 0.111659 + 0.0447014i
\(741\) 1.44957 + 3.17412i 0.0532513 + 0.116604i
\(742\) 43.5909 19.6254i 1.60027 0.720471i
\(743\) 5.78967 1.70000i 0.212402 0.0623670i −0.173800 0.984781i \(-0.555605\pi\)
0.386203 + 0.922414i \(0.373787\pi\)
\(744\) 18.7831 9.68335i 0.688621 0.355009i
\(745\) 5.88957 0.562385i 0.215777 0.0206042i
\(746\) −9.16253 37.7685i −0.335464 1.38280i
\(747\) 6.66480 1.28454i 0.243852 0.0469987i
\(748\) 7.94853 + 9.17310i 0.290627 + 0.335402i
\(749\) 25.7625 + 6.39642i 0.941341 + 0.233720i
\(750\) 3.45458 7.56447i 0.126143 0.276216i
\(751\) 38.4097 19.8016i 1.40159 0.722569i 0.418934 0.908017i \(-0.362404\pi\)
0.982654 + 0.185447i \(0.0593734\pi\)
\(752\) 15.4948 + 14.7743i 0.565038 + 0.538762i
\(753\) −12.9250 + 5.17438i −0.471012 + 0.188565i
\(754\) 12.9507 + 1.23665i 0.471638 + 0.0450360i
\(755\) 0.761811 + 5.29851i 0.0277251 + 0.192833i
\(756\) 1.16853 + 12.9723i 0.0424989 + 0.471797i
\(757\) 18.8997 21.8114i 0.686921 0.792749i −0.300002 0.953938i \(-0.596987\pi\)
0.986924 + 0.161189i \(0.0515329\pi\)
\(758\) −21.5400 + 37.3084i −0.782369 + 1.35510i
\(759\) −1.45340 + 0.879217i −0.0527552 + 0.0319135i
\(760\) 2.95580 + 5.11960i 0.107218 + 0.185707i
\(761\) −2.52288 7.28939i −0.0914544 0.264240i 0.889992 0.455976i \(-0.150710\pi\)
−0.981447 + 0.191736i \(0.938588\pi\)
\(762\) −12.1549 + 7.81148i −0.440325 + 0.282980i
\(763\) 22.2396 + 7.83102i 0.805127 + 0.283502i
\(764\) 2.11055 + 4.62145i 0.0763569 + 0.167198i
\(765\) 1.74722 + 1.37403i 0.0631709 + 0.0496782i
\(766\) 5.82850 + 5.55747i 0.210592 + 0.200799i
\(767\) −0.878365 + 18.4392i −0.0317159 + 0.665800i
\(768\) −6.00613 8.43443i −0.216728 0.304351i
\(769\) −16.3888 4.81218i −0.590995 0.173532i −0.0274583 0.999623i \(-0.508741\pi\)
−0.563536 + 0.826091i \(0.690560\pi\)
\(770\) −0.540250 0.572718i −0.0194693 0.0206393i
\(771\) 13.0378 + 15.0464i 0.469545 + 0.541883i
\(772\) 72.4071 69.0401i 2.60599 2.48481i
\(773\) 25.3364