Properties

Label 483.2.bf.a.145.4
Level $483$
Weight $2$
Character 483.145
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 145.4
Character \(\chi\) \(=\) 483.145
Dual form 483.2.bf.a.10.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.797371 - 2.30385i) q^{2} +(0.458227 - 0.888835i) q^{3} +(-3.09983 + 2.43773i) q^{4} +(1.48893 + 0.142176i) q^{5} +(-2.41312 - 0.346955i) q^{6} +(2.64327 - 0.114618i) q^{7} +(3.98605 + 2.56168i) q^{8} +(-0.580057 - 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.797371 - 2.30385i) q^{2} +(0.458227 - 0.888835i) q^{3} +(-3.09983 + 2.43773i) q^{4} +(1.48893 + 0.142176i) q^{5} +(-2.41312 - 0.346955i) q^{6} +(2.64327 - 0.114618i) q^{7} +(3.98605 + 2.56168i) q^{8} +(-0.580057 - 0.814576i) q^{9} +(-0.859680 - 3.54365i) q^{10} +(5.25822 + 1.81989i) q^{11} +(0.746319 + 3.87227i) q^{12} +(1.14332 - 3.89380i) q^{13} +(-2.37173 - 5.99831i) q^{14} +(0.808640 - 1.25827i) q^{15} +(0.863919 - 3.56112i) q^{16} +(2.36184 - 0.945539i) q^{17} +(-1.41414 + 1.98589i) q^{18} +(-4.40203 - 1.76231i) q^{19} +(-4.96203 + 3.18890i) q^{20} +(1.10934 - 2.40195i) q^{21} -13.5653i q^{22} +(0.501961 + 4.76949i) q^{23} +(4.10342 - 2.36911i) q^{24} +(-2.71293 - 0.522875i) q^{25} +(-9.88239 + 0.470756i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(-7.91427 + 6.79888i) q^{28} +(-0.100916 + 0.701885i) q^{29} +(-3.54365 - 0.859680i) q^{30} +(1.67480 + 0.0797805i) q^{31} +(0.540375 - 0.0515995i) q^{32} +(4.02704 - 3.83977i) q^{33} +(-4.06165 - 4.68739i) q^{34} +(3.95195 + 0.205150i) q^{35} +(3.78380 + 1.11102i) q^{36} +(-0.543946 + 0.387342i) q^{37} +(-0.550043 + 11.5468i) q^{38} +(-2.93704 - 2.80047i) q^{39} +(5.57075 + 4.38089i) q^{40} +(-5.32488 + 2.43179i) q^{41} +(-6.41830 - 0.640506i) q^{42} +(-4.30916 - 6.70519i) q^{43} +(-20.7360 + 7.17680i) q^{44} +(-0.747853 - 1.29532i) q^{45} +(10.5880 - 4.95950i) q^{46} +(1.90751 + 1.10130i) q^{47} +(-2.76938 - 2.39968i) q^{48} +(6.97373 - 0.605934i) q^{49} +(0.958588 + 6.66713i) q^{50} +(0.241830 - 2.53256i) q^{51} +(5.94794 + 14.8572i) q^{52} +(-1.07652 + 1.12902i) q^{53} +(1.11713 + 2.16693i) q^{54} +(7.57040 + 3.45729i) q^{55} +(10.8298 + 6.31432i) q^{56} +(-3.58353 + 3.10514i) q^{57} +(1.69751 - 0.327168i) q^{58} +(-0.288871 + 0.0700794i) q^{59} +(0.560676 + 5.87167i) q^{60} +(-10.0666 + 5.18972i) q^{61} +(-1.15163 - 3.92210i) q^{62} +(-1.62661 - 2.08666i) q^{63} +(-3.59426 - 7.87034i) q^{64} +(2.25593 - 5.63505i) q^{65} +(-12.0573 - 6.21598i) q^{66} +(-2.58709 + 13.4231i) q^{67} +(-5.01634 + 8.68855i) q^{68} +(4.46930 + 1.73935i) q^{69} +(-2.67853 - 9.26828i) q^{70} +(-2.97261 + 3.43057i) q^{71} +(-0.225454 - 4.73286i) q^{72} +(2.80639 + 3.56861i) q^{73} +(1.32611 + 0.944317i) q^{74} +(-1.70789 + 2.17176i) q^{75} +(17.9416 - 5.26812i) q^{76} +(14.1075 + 4.20776i) q^{77} +(-4.10995 + 8.99953i) q^{78} +(-8.36812 - 8.77623i) q^{79} +(1.79262 - 5.17944i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(9.84840 + 10.3287i) q^{82} +(2.45765 - 5.38150i) q^{83} +(2.41656 + 10.1499i) q^{84} +(3.65106 - 1.07205i) q^{85} +(-12.0118 + 15.2742i) q^{86} +(0.577618 + 0.411320i) q^{87} +(16.2976 + 20.7240i) q^{88} +(-0.806837 - 16.9376i) q^{89} +(-2.38791 + 2.75579i) q^{90} +(2.57581 - 10.4234i) q^{91} +(-13.1827 - 13.5610i) q^{92} +(0.838349 - 1.45206i) q^{93} +(1.01624 - 5.27277i) q^{94} +(-6.30377 - 3.24982i) q^{95} +(0.201751 - 0.503949i) q^{96} +(4.75583 + 10.4138i) q^{97} +(-6.95663 - 15.5833i) q^{98} +(-1.56763 - 5.33886i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{19}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.797371 2.30385i −0.563827 1.62907i −0.761037 0.648709i \(-0.775309\pi\)
0.197210 0.980361i \(-0.436812\pi\)
\(3\) 0.458227 0.888835i 0.264557 0.513169i
\(4\) −3.09983 + 2.43773i −1.54992 + 1.21887i
\(5\) 1.48893 + 0.142176i 0.665871 + 0.0635830i 0.422518 0.906355i \(-0.361146\pi\)
0.243354 + 0.969938i \(0.421752\pi\)
\(6\) −2.41312 0.346955i −0.985153 0.141644i
\(7\) 2.64327 0.114618i 0.999061 0.0433217i
\(8\) 3.98605 + 2.56168i 1.40928 + 0.905690i
\(9\) −0.580057 0.814576i −0.193352 0.271525i
\(10\) −0.859680 3.54365i −0.271855 1.12060i
\(11\) 5.25822 + 1.81989i 1.58541 + 0.548717i 0.970754 0.240076i \(-0.0771723\pi\)
0.614659 + 0.788793i \(0.289293\pi\)
\(12\) 0.746319 + 3.87227i 0.215444 + 1.11783i
\(13\) 1.14332 3.89380i 0.317101 1.07995i −0.634580 0.772857i \(-0.718827\pi\)
0.951681 0.307088i \(-0.0993547\pi\)
\(14\) −2.37173 5.99831i −0.633871 1.60311i
\(15\) 0.808640 1.25827i 0.208790 0.324883i
\(16\) 0.863919 3.56112i 0.215980 0.890280i
\(17\) 2.36184 0.945539i 0.572831 0.229327i −0.0671173 0.997745i \(-0.521380\pi\)
0.639948 + 0.768418i \(0.278956\pi\)
\(18\) −1.41414 + 1.98589i −0.333317 + 0.468078i
\(19\) −4.40203 1.76231i −1.00989 0.404301i −0.193069 0.981185i \(-0.561844\pi\)
−0.816826 + 0.576885i \(0.804268\pi\)
\(20\) −4.96203 + 3.18890i −1.10954 + 0.713060i
\(21\) 1.10934 2.40195i 0.242077 0.524149i
\(22\) 13.5653i 2.89213i
\(23\) 0.501961 + 4.76949i 0.104666 + 0.994507i
\(24\) 4.10342 2.36911i 0.837607 0.483593i
\(25\) −2.71293 0.522875i −0.542587 0.104575i
\(26\) −9.88239 + 0.470756i −1.93810 + 0.0923229i
\(27\) −0.989821 + 0.142315i −0.190491 + 0.0273885i
\(28\) −7.91427 + 6.79888i −1.49566 + 1.28487i
\(29\) −0.100916 + 0.701885i −0.0187396 + 0.130337i −0.997044 0.0768377i \(-0.975518\pi\)
0.978304 + 0.207174i \(0.0664268\pi\)
\(30\) −3.54365 0.859680i −0.646979 0.156955i
\(31\) 1.67480 + 0.0797805i 0.300803 + 0.0143290i 0.197441 0.980315i \(-0.436737\pi\)
0.103362 + 0.994644i \(0.467040\pi\)
\(32\) 0.540375 0.0515995i 0.0955257 0.00912160i
\(33\) 4.02704 3.83977i 0.701017 0.668419i
\(34\) −4.06165 4.68739i −0.696567 0.803881i
\(35\) 3.95195 + 0.205150i 0.668001 + 0.0346767i
\(36\) 3.78380 + 1.11102i 0.630633 + 0.185170i
\(37\) −0.543946 + 0.387342i −0.0894242 + 0.0636787i −0.623895 0.781509i \(-0.714451\pi\)
0.534470 + 0.845187i \(0.320511\pi\)
\(38\) −0.550043 + 11.5468i −0.0892288 + 1.87314i
\(39\) −2.93704 2.80047i −0.470304 0.448434i
\(40\) 5.57075 + 4.38089i 0.880813 + 0.692679i
\(41\) −5.32488 + 2.43179i −0.831607 + 0.379782i −0.785277 0.619144i \(-0.787480\pi\)
−0.0463296 + 0.998926i \(0.514752\pi\)
\(42\) −6.41830 0.640506i −0.990364 0.0988322i
\(43\) −4.30916 6.70519i −0.657141 1.02253i −0.996639 0.0819244i \(-0.973893\pi\)
0.339498 0.940607i \(-0.389743\pi\)
\(44\) −20.7360 + 7.17680i −3.12607 + 1.08194i
\(45\) −0.747853 1.29532i −0.111483 0.193095i
\(46\) 10.5880 4.95950i 1.56111 0.731238i
\(47\) 1.90751 + 1.10130i 0.278239 + 0.160641i 0.632626 0.774458i \(-0.281977\pi\)
−0.354387 + 0.935099i \(0.615310\pi\)
\(48\) −2.76938 2.39968i −0.399726 0.346364i
\(49\) 6.97373 0.605934i 0.996246 0.0865620i
\(50\) 0.958588 + 6.66713i 0.135565 + 0.942874i
\(51\) 0.241830 2.53256i 0.0338630 0.354629i
\(52\) 5.94794 + 14.8572i 0.824830 + 2.06033i
\(53\) −1.07652 + 1.12902i −0.147872 + 0.155083i −0.793504 0.608565i \(-0.791745\pi\)
0.645632 + 0.763648i \(0.276594\pi\)
\(54\) 1.11713 + 2.16693i 0.152022 + 0.294881i
\(55\) 7.57040 + 3.45729i 1.02079 + 0.466180i
\(56\) 10.8298 + 6.31432i 1.44719 + 0.843787i
\(57\) −3.58353 + 3.10514i −0.474650 + 0.411286i
\(58\) 1.69751 0.327168i 0.222894 0.0429592i
\(59\) −0.288871 + 0.0700794i −0.0376078 + 0.00912356i −0.254519 0.967068i \(-0.581917\pi\)
0.216911 + 0.976191i \(0.430402\pi\)
\(60\) 0.560676 + 5.87167i 0.0723830 + 0.758029i
\(61\) −10.0666 + 5.18972i −1.28890 + 0.664475i −0.960029 0.279899i \(-0.909699\pi\)
−0.328872 + 0.944374i \(0.606669\pi\)
\(62\) −1.15163 3.92210i −0.146258 0.498108i
\(63\) −1.62661 2.08666i −0.204934 0.262894i
\(64\) −3.59426 7.87034i −0.449283 0.983792i
\(65\) 2.25593 5.63505i 0.279814 0.698942i
\(66\) −12.0573 6.21598i −1.48415 0.765134i
\(67\) −2.58709 + 13.4231i −0.316064 + 1.63989i 0.382219 + 0.924072i \(0.375160\pi\)
−0.698283 + 0.715822i \(0.746052\pi\)
\(68\) −5.01634 + 8.68855i −0.608320 + 1.05364i
\(69\) 4.46930 + 1.73935i 0.538041 + 0.209393i
\(70\) −2.67853 9.26828i −0.320146 1.10777i
\(71\) −2.97261 + 3.43057i −0.352784 + 0.407134i −0.904209 0.427090i \(-0.859539\pi\)
0.551425 + 0.834224i \(0.314084\pi\)
\(72\) −0.225454 4.73286i −0.0265700 0.557772i
\(73\) 2.80639 + 3.56861i 0.328463 + 0.417674i 0.922035 0.387106i \(-0.126525\pi\)
−0.593572 + 0.804781i \(0.702283\pi\)
\(74\) 1.32611 + 0.944317i 0.154157 + 0.109775i
\(75\) −1.70789 + 2.17176i −0.197210 + 0.250773i
\(76\) 17.9416 5.26812i 2.05804 0.604295i
\(77\) 14.1075 + 4.20776i 1.60770 + 0.479519i
\(78\) −4.10995 + 8.99953i −0.465360 + 1.01900i
\(79\) −8.36812 8.77623i −0.941487 0.987403i 0.0584541 0.998290i \(-0.481383\pi\)
−0.999941 + 0.0108874i \(0.996534\pi\)
\(80\) 1.79262 5.17944i 0.200421 0.579079i
\(81\) −0.327068 + 0.945001i −0.0363409 + 0.105000i
\(82\) 9.84840 + 10.3287i 1.08757 + 1.14061i
\(83\) 2.45765 5.38150i 0.269762 0.590697i −0.725468 0.688256i \(-0.758376\pi\)
0.995230 + 0.0975597i \(0.0311037\pi\)
\(84\) 2.41656 + 10.1499i 0.263668 + 1.10745i
\(85\) 3.65106 1.07205i 0.396013 0.116280i
\(86\) −12.0118 + 15.2742i −1.29526 + 1.64706i
\(87\) 0.577618 + 0.411320i 0.0619271 + 0.0440981i
\(88\) 16.2976 + 20.7240i 1.73733 + 2.20919i
\(89\) −0.806837 16.9376i −0.0855246 1.79538i −0.480811 0.876824i \(-0.659658\pi\)
0.395287 0.918558i \(-0.370645\pi\)
\(90\) −2.38791 + 2.75579i −0.251708 + 0.290486i
\(91\) 2.57581 10.4234i 0.270018 1.09267i
\(92\) −13.1827 13.5610i −1.37440 1.41383i
\(93\) 0.838349 1.45206i 0.0869327 0.150572i
\(94\) 1.01624 5.27277i 0.104817 0.543845i
\(95\) −6.30377 3.24982i −0.646753 0.333424i
\(96\) 0.201751 0.503949i 0.0205911 0.0514340i
\(97\) 4.75583 + 10.4138i 0.482882 + 1.05736i 0.981661 + 0.190635i \(0.0610546\pi\)
−0.498779 + 0.866729i \(0.666218\pi\)
\(98\) −6.95663 15.5833i −0.702726 1.57415i
\(99\) −1.56763 5.33886i −0.157553 0.536576i
\(100\) 9.68427 4.99259i 0.968427 0.499259i
\(101\) 0.625706 + 6.55269i 0.0622600 + 0.652017i 0.971706 + 0.236194i \(0.0759002\pi\)
−0.909446 + 0.415822i \(0.863494\pi\)
\(102\) −6.02747 + 1.46225i −0.596809 + 0.144784i
\(103\) 13.7144 2.64323i 1.35132 0.260445i 0.538335 0.842731i \(-0.319054\pi\)
0.812984 + 0.582286i \(0.197841\pi\)
\(104\) 14.5320 12.5920i 1.42498 1.23475i
\(105\) 1.99323 3.41862i 0.194519 0.333624i
\(106\) 3.45949 + 1.57990i 0.336015 + 0.153453i
\(107\) −6.83959 13.2669i −0.661208 1.28256i −0.946060 0.323992i \(-0.894975\pi\)
0.284852 0.958572i \(-0.408056\pi\)
\(108\) 2.72135 2.85407i 0.261862 0.274633i
\(109\) −4.28881 10.7129i −0.410793 1.02611i −0.979115 0.203306i \(-0.934831\pi\)
0.568322 0.822806i \(-0.307593\pi\)
\(110\) 1.92866 20.1978i 0.183890 1.92579i
\(111\) 0.0950330 + 0.660969i 0.00902014 + 0.0627364i
\(112\) 1.87540 9.51202i 0.177208 0.898801i
\(113\) 8.11968 + 7.03574i 0.763835 + 0.661867i 0.947007 0.321214i \(-0.104091\pi\)
−0.183171 + 0.983081i \(0.558636\pi\)
\(114\) 10.0112 + 5.77996i 0.937634 + 0.541343i
\(115\) 0.0692804 + 7.17282i 0.00646043 + 0.668869i
\(116\) −1.39819 2.42173i −0.129818 0.224852i
\(117\) −3.83499 + 1.32730i −0.354545 + 0.122709i
\(118\) 0.391790 + 0.609638i 0.0360672 + 0.0561217i
\(119\) 6.13460 2.77002i 0.562358 0.253927i
\(120\) 6.44655 2.94404i 0.588487 0.268753i
\(121\) 15.6903 + 12.3390i 1.42639 + 1.12173i
\(122\) 19.9832 + 19.0539i 1.80919 + 1.72506i
\(123\) −0.278539 + 5.84726i −0.0251150 + 0.527229i
\(124\) −5.38608 + 3.83541i −0.483684 + 0.344430i
\(125\) −11.1406 3.27119i −0.996449 0.292584i
\(126\) −3.51034 + 5.41131i −0.312726 + 0.482078i
\(127\) −4.26879 4.92645i −0.378794 0.437152i 0.534054 0.845450i \(-0.320668\pi\)
−0.912849 + 0.408298i \(0.866122\pi\)
\(128\) −14.4804 + 13.8070i −1.27990 + 1.22038i
\(129\) −7.93438 + 0.757641i −0.698583 + 0.0667066i
\(130\) −14.7811 0.704113i −1.29639 0.0617548i
\(131\) 17.9425 + 4.35281i 1.56765 + 0.380307i 0.923193 0.384336i \(-0.125570\pi\)
0.644454 + 0.764643i \(0.277085\pi\)
\(132\) −3.12279 + 21.7195i −0.271804 + 1.89044i
\(133\) −11.8377 4.15369i −1.02646 0.360171i
\(134\) 32.9877 4.74292i 2.84971 0.409726i
\(135\) −1.49401 + 0.0711686i −0.128584 + 0.00612522i
\(136\) 11.8366 + 2.28131i 1.01498 + 0.195621i
\(137\) −5.93128 + 3.42443i −0.506744 + 0.292569i −0.731494 0.681848i \(-0.761177\pi\)
0.224750 + 0.974416i \(0.427843\pi\)
\(138\) 0.443503 11.6835i 0.0377534 0.994567i
\(139\) 17.2958i 1.46701i −0.679684 0.733505i \(-0.737883\pi\)
0.679684 0.733505i \(-0.262117\pi\)
\(140\) −12.7505 + 8.99786i −1.07761 + 0.760458i
\(141\) 1.85295 1.19082i 0.156046 0.100285i
\(142\) 10.2738 + 4.11301i 0.862159 + 0.345156i
\(143\) 13.0981 18.3937i 1.09532 1.53816i
\(144\) −3.40193 + 1.36193i −0.283494 + 0.113494i
\(145\) −0.250048 + 1.03071i −0.0207654 + 0.0855960i
\(146\) 5.98382 9.31101i 0.495225 0.770585i
\(147\) 2.65697 6.47615i 0.219143 0.534144i
\(148\) 0.741904 2.52669i 0.0609841 0.207693i
\(149\) 3.29350 + 17.0883i 0.269814 + 1.39993i 0.823554 + 0.567238i \(0.191988\pi\)
−0.553740 + 0.832690i \(0.686800\pi\)
\(150\) 6.36523 + 2.20303i 0.519719 + 0.179876i
\(151\) 0.433485 + 1.78685i 0.0352765 + 0.145412i 0.986726 0.162392i \(-0.0519210\pi\)
−0.951450 + 0.307804i \(0.900406\pi\)
\(152\) −13.0322 18.3012i −1.05705 1.48442i
\(153\) −2.14022 1.37543i −0.173026 0.111197i
\(154\) −1.55483 35.8567i −0.125292 2.88942i
\(155\) 2.48232 + 0.356904i 0.199385 + 0.0286672i
\(156\) 15.9311 + 1.52124i 1.27551 + 0.121797i
\(157\) −7.85511 + 6.17733i −0.626906 + 0.493004i −0.880337 0.474349i \(-0.842683\pi\)
0.253431 + 0.967354i \(0.418441\pi\)
\(158\) −13.5466 + 26.2768i −1.07771 + 2.09047i
\(159\) 0.510225 + 1.47420i 0.0404635 + 0.116912i
\(160\) 0.811918 0.0641878
\(161\) 1.87349 + 12.5495i 0.147652 + 0.989039i
\(162\) 2.43794 0.191542
\(163\) 5.67842 + 16.4067i 0.444768 + 1.28507i 0.915330 + 0.402705i \(0.131930\pi\)
−0.470562 + 0.882367i \(0.655949\pi\)
\(164\) 10.5782 20.5188i 0.826016 1.60225i
\(165\) 6.54192 5.14462i 0.509287 0.400508i
\(166\) −14.3578 1.37101i −1.11439 0.106411i
\(167\) −4.14501 0.595963i −0.320751 0.0461170i −0.0199410 0.999801i \(-0.506348\pi\)
−0.300810 + 0.953684i \(0.597257\pi\)
\(168\) 10.5749 6.73252i 0.815871 0.519425i
\(169\) −2.91818 1.87540i −0.224475 0.144261i
\(170\) −5.38109 7.55668i −0.412711 0.579571i
\(171\) 1.11789 + 4.60802i 0.0854875 + 0.352384i
\(172\) 29.7031 + 10.2804i 2.26484 + 0.783869i
\(173\) 3.43900 + 17.8432i 0.261463 + 1.35660i 0.840728 + 0.541458i \(0.182127\pi\)
−0.579265 + 0.815139i \(0.696660\pi\)
\(174\) 0.487044 1.65872i 0.0369227 0.125747i
\(175\) −7.23094 1.07115i −0.546608 0.0809711i
\(176\) 11.0235 17.1529i 0.830929 1.29295i
\(177\) −0.0700794 + 0.288871i −0.00526749 + 0.0217129i
\(178\) −38.3784 + 15.3644i −2.87658 + 1.15161i
\(179\) −8.74806 + 12.2849i −0.653861 + 0.918219i −0.999799 0.0200383i \(-0.993621\pi\)
0.345939 + 0.938257i \(0.387561\pi\)
\(180\) 5.47586 + 2.19220i 0.408147 + 0.163397i
\(181\) −7.62252 + 4.89869i −0.566577 + 0.364117i −0.792354 0.610062i \(-0.791144\pi\)
0.225776 + 0.974179i \(0.427508\pi\)
\(182\) −26.0678 + 2.37704i −1.93228 + 0.176198i
\(183\) 11.3257i 0.837217i
\(184\) −10.2171 + 20.2973i −0.753211 + 1.49633i
\(185\) −0.864971 + 0.499391i −0.0635939 + 0.0367160i
\(186\) −4.01381 0.773599i −0.294307 0.0567231i
\(187\) 14.1399 0.673565i 1.03401 0.0492559i
\(188\) −8.59764 + 1.23615i −0.627047 + 0.0901558i
\(189\) −2.60005 + 0.489628i −0.189126 + 0.0356152i
\(190\) −2.46066 + 17.1143i −0.178515 + 1.24160i
\(191\) 20.3075 + 4.92656i 1.46940 + 0.356473i 0.889019 0.457871i \(-0.151388\pi\)
0.580383 + 0.814344i \(0.302903\pi\)
\(192\) −8.64242 0.411689i −0.623713 0.0297111i
\(193\) −24.2309 + 2.31377i −1.74418 + 0.166549i −0.917926 0.396752i \(-0.870137\pi\)
−0.826252 + 0.563301i \(0.809531\pi\)
\(194\) 20.1998 19.2604i 1.45026 1.38282i
\(195\) −3.97491 4.58729i −0.284649 0.328502i
\(196\) −20.1403 + 18.8784i −1.43859 + 1.34846i
\(197\) 14.8548 + 4.36177i 1.05836 + 0.310764i 0.764192 0.644989i \(-0.223138\pi\)
0.294172 + 0.955753i \(0.404956\pi\)
\(198\) −11.0500 + 7.86864i −0.785287 + 0.559200i
\(199\) −0.988469 + 20.7505i −0.0700707 + 1.47097i 0.640835 + 0.767678i \(0.278588\pi\)
−0.710906 + 0.703287i \(0.751715\pi\)
\(200\) −9.47445 9.03387i −0.669945 0.638791i
\(201\) 10.7455 + 8.45032i 0.757926 + 0.596040i
\(202\) 14.5975 6.66646i 1.02708 0.469050i
\(203\) −0.186299 + 1.86684i −0.0130756 + 0.131026i
\(204\) 5.42407 + 8.44002i 0.379761 + 0.590920i
\(205\) −8.27414 + 2.86371i −0.577891 + 0.200010i
\(206\) −17.0251 29.4883i −1.18619 2.05455i
\(207\) 3.59395 3.17546i 0.249796 0.220710i
\(208\) −12.8785 7.43543i −0.892967 0.515554i
\(209\) −19.9396 17.2778i −1.37925 1.19513i
\(210\) −9.46535 1.86620i −0.653171 0.128780i
\(211\) −1.70665 11.8700i −0.117491 0.817168i −0.960303 0.278959i \(-0.910011\pi\)
0.842812 0.538208i \(-0.180899\pi\)
\(212\) 0.584776 6.12405i 0.0401626 0.420602i
\(213\) 1.68709 + 4.21414i 0.115597 + 0.288748i
\(214\) −25.1114 + 26.3361i −1.71658 + 1.80030i
\(215\) −5.46274 10.5962i −0.372556 0.722657i
\(216\) −4.31004 1.96833i −0.293261 0.133928i
\(217\) 4.43609 + 0.0189185i 0.301141 + 0.00128427i
\(218\) −21.2612 + 18.4230i −1.43999 + 1.24776i
\(219\) 4.45787 0.859184i 0.301235 0.0580583i
\(220\) −31.8949 + 7.73762i −2.15035 + 0.521670i
\(221\) −0.981391 10.2776i −0.0660155 0.691345i
\(222\) 1.44700 0.745980i 0.0971162 0.0500669i
\(223\) −6.11972 20.8419i −0.409807 1.39567i −0.863425 0.504478i \(-0.831685\pi\)
0.453618 0.891196i \(-0.350133\pi\)
\(224\) 1.42244 0.198328i 0.0950408 0.0132514i
\(225\) 1.14773 + 2.51319i 0.0765156 + 0.167546i
\(226\) 9.73492 24.3166i 0.647557 1.61752i
\(227\) 5.79124 + 2.98559i 0.384378 + 0.198161i 0.639575 0.768728i \(-0.279110\pi\)
−0.255197 + 0.966889i \(0.582140\pi\)
\(228\) 3.53881 18.3611i 0.234363 1.21599i
\(229\) −5.60346 + 9.70547i −0.370287 + 0.641356i −0.989610 0.143781i \(-0.954074\pi\)
0.619323 + 0.785137i \(0.287407\pi\)
\(230\) 16.4699 5.87901i 1.08599 0.387651i
\(231\) 10.2044 10.6111i 0.671402 0.698160i
\(232\) −2.20026 + 2.53923i −0.144454 + 0.166709i
\(233\) 1.31726 + 27.6526i 0.0862964 + 1.81158i 0.464191 + 0.885735i \(0.346345\pi\)
−0.377895 + 0.925849i \(0.623352\pi\)
\(234\) 6.11581 + 7.77689i 0.399803 + 0.508391i
\(235\) 2.68358 + 1.91097i 0.175057 + 0.124658i
\(236\) 0.724617 0.921426i 0.0471686 0.0599797i
\(237\) −11.6351 + 3.41638i −0.755782 + 0.221918i
\(238\) −11.2733 11.9245i −0.730738 0.772949i
\(239\) 0.194821 0.426598i 0.0126019 0.0275943i −0.903226 0.429164i \(-0.858808\pi\)
0.915828 + 0.401570i \(0.131535\pi\)
\(240\) −3.78225 3.96671i −0.244143 0.256050i
\(241\) 1.09849 3.17388i 0.0707600 0.204448i −0.904076 0.427373i \(-0.859439\pi\)
0.974836 + 0.222925i \(0.0715605\pi\)
\(242\) 15.9162 45.9869i 1.02313 2.95615i
\(243\) 0.690079 + 0.723734i 0.0442686 + 0.0464276i
\(244\) 18.5537 40.6270i 1.18778 2.60088i
\(245\) 10.4696 + 0.0893003i 0.668876 + 0.00570519i
\(246\) 13.6933 4.02072i 0.873054 0.256352i
\(247\) −11.8950 + 15.1257i −0.756861 + 0.962426i
\(248\) 6.47146 + 4.60830i 0.410938 + 0.292628i
\(249\) −3.65711 4.65039i −0.231760 0.294707i
\(250\) 1.34689 + 28.2747i 0.0851849 + 1.78825i
\(251\) 5.08258 5.86561i 0.320810 0.370234i −0.572322 0.820029i \(-0.693957\pi\)
0.893132 + 0.449795i \(0.148503\pi\)
\(252\) 10.1289 + 2.50304i 0.638063 + 0.157677i
\(253\) −6.04052 + 25.9925i −0.379764 + 1.63414i
\(254\) −7.94601 + 13.7629i −0.498577 + 0.863560i
\(255\) 0.720138 3.73643i 0.0450968 0.233984i
\(256\) 27.9748 + 14.4220i 1.74843 + 0.901377i
\(257\) 6.65494 16.6232i 0.415124 1.03693i −0.562543 0.826768i \(-0.690177\pi\)
0.977667 0.210161i \(-0.0673989\pi\)
\(258\) 8.07214 + 17.6755i 0.502549 + 1.10043i
\(259\) −1.39340 + 1.08620i −0.0865816 + 0.0674929i
\(260\) 6.74374 + 22.9671i 0.418229 + 1.42436i
\(261\) 0.630276 0.324930i 0.0390131 0.0201126i
\(262\) −4.27862 44.8078i −0.264334 2.76823i
\(263\) −2.89588 + 0.702534i −0.178568 + 0.0433201i −0.324046 0.946041i \(-0.605043\pi\)
0.145478 + 0.989361i \(0.453528\pi\)
\(264\) 25.8882 4.98955i 1.59331 0.307085i
\(265\) −1.76339 + 1.52799i −0.108324 + 0.0938634i
\(266\) −0.130433 + 30.5844i −0.00799735 + 1.87525i
\(267\) −15.4245 7.04411i −0.943961 0.431093i
\(268\) −24.7024 47.9160i −1.50894 2.92694i
\(269\) 8.64445 9.06604i 0.527061 0.552766i −0.405351 0.914161i \(-0.632851\pi\)
0.932413 + 0.361395i \(0.117699\pi\)
\(270\) 1.35524 + 3.38524i 0.0824775 + 0.206019i
\(271\) 2.64913 27.7430i 0.160923 1.68527i −0.449570 0.893245i \(-0.648423\pi\)
0.610494 0.792021i \(-0.290971\pi\)
\(272\) −1.32674 9.22767i −0.0804454 0.559510i
\(273\) −8.08438 7.06574i −0.489289 0.427638i
\(274\) 12.6188 + 10.9343i 0.762330 + 0.660563i
\(275\) −13.3136 7.68663i −0.802842 0.463521i
\(276\) −18.0941 + 5.50329i −1.08914 + 0.331259i
\(277\) 4.92052 + 8.52259i 0.295645 + 0.512073i 0.975135 0.221613i \(-0.0711320\pi\)
−0.679490 + 0.733685i \(0.737799\pi\)
\(278\) −39.8470 + 13.7912i −2.38986 + 0.827139i
\(279\) −0.906491 1.41053i −0.0542702 0.0844461i
\(280\) 15.2271 + 10.9413i 0.909994 + 0.653870i
\(281\) −18.5869 + 8.48835i −1.10880 + 0.506373i −0.883743 0.467973i \(-0.844985\pi\)
−0.225059 + 0.974345i \(0.572257\pi\)
\(282\) −4.22095 3.31940i −0.251354 0.197667i
\(283\) −0.185673 0.177039i −0.0110371 0.0105239i 0.684540 0.728975i \(-0.260003\pi\)
−0.695577 + 0.718451i \(0.744851\pi\)
\(284\) 0.851759 17.8806i 0.0505426 1.06102i
\(285\) −5.77711 + 4.11386i −0.342206 + 0.243684i
\(286\) −52.8205 15.5095i −3.12334 0.917096i
\(287\) −13.7964 + 7.03821i −0.814373 + 0.415452i
\(288\) −0.355480 0.410246i −0.0209469 0.0241740i
\(289\) −7.61923 + 7.26492i −0.448190 + 0.427348i
\(290\) 2.57399 0.245786i 0.151150 0.0144331i
\(291\) 11.4354 + 0.544737i 0.670357 + 0.0319330i
\(292\) −17.3986 4.22087i −1.01818 0.247007i
\(293\) 0.932143 6.48320i 0.0544564 0.378752i −0.944308 0.329062i \(-0.893267\pi\)
0.998765 0.0496904i \(-0.0158235\pi\)
\(294\) −17.0387 0.957373i −0.993716 0.0558351i
\(295\) −0.440074 + 0.0632731i −0.0256221 + 0.00368390i
\(296\) −3.16044 + 0.150550i −0.183697 + 0.00875056i
\(297\) −5.46370 1.05304i −0.317036 0.0611037i
\(298\) 36.7428 21.2134i 2.12845 1.22886i
\(299\) 19.1453 + 3.49853i 1.10720 + 0.202325i
\(300\) 10.8955i 0.629049i
\(301\) −12.1588 17.2297i −0.700822 0.993103i
\(302\) 3.77099 2.42347i 0.216996 0.139455i
\(303\) 6.11097 + 2.44647i 0.351066 + 0.140546i
\(304\) −10.0788 + 14.1537i −0.578058 + 0.811768i
\(305\) −15.7264 + 6.29591i −0.900492 + 0.360503i
\(306\) −1.46225 + 6.02747i −0.0835912 + 0.344568i
\(307\) −11.7824 + 18.3338i −0.672457 + 1.04636i 0.322549 + 0.946553i \(0.395460\pi\)
−0.995006 + 0.0998112i \(0.968176\pi\)
\(308\) −53.9882 + 21.3469i −3.07626 + 1.21635i
\(309\) 3.93490 13.4010i 0.223849 0.762358i
\(310\) −1.15708 6.00349i −0.0657176 0.340975i
\(311\) 12.0916 + 4.18494i 0.685651 + 0.237306i 0.647612 0.761970i \(-0.275768\pi\)
0.0380386 + 0.999276i \(0.487889\pi\)
\(312\) −4.53331 18.6866i −0.256648 1.05792i
\(313\) 10.1166 + 14.2068i 0.571826 + 0.803017i 0.994662 0.103189i \(-0.0329047\pi\)
−0.422836 + 0.906206i \(0.638965\pi\)
\(314\) 20.4951 + 13.1714i 1.15660 + 0.743305i
\(315\) −2.12524 3.33816i −0.119744 0.188084i
\(316\) 47.3338 + 6.80558i 2.66274 + 0.382844i
\(317\) −24.5113 2.34055i −1.37669 0.131458i −0.619679 0.784856i \(-0.712737\pi\)
−0.757015 + 0.653397i \(0.773343\pi\)
\(318\) 2.98950 2.35097i 0.167643 0.131836i
\(319\) −1.80799 + 3.50701i −0.101228 + 0.196355i
\(320\) −4.23265 12.2294i −0.236612 0.683646i
\(321\) −14.9262 −0.833100
\(322\) 27.4183 14.3229i 1.52796 0.798181i
\(323\) −12.0632 −0.671215
\(324\) −1.28980 3.72665i −0.0716558 0.207036i
\(325\) −5.13773 + 9.96580i −0.284990 + 0.552803i
\(326\) 33.2708 26.1645i 1.84270 1.44912i
\(327\) −11.4873 1.09690i −0.635247 0.0606588i
\(328\) −27.4547 3.94739i −1.51593 0.217958i
\(329\) 5.16829 + 2.69240i 0.284937 + 0.148437i
\(330\) −17.0688 10.9694i −0.939605 0.603848i
\(331\) 8.90127 + 12.5001i 0.489258 + 0.687067i 0.983221 0.182416i \(-0.0583918\pi\)
−0.493964 + 0.869483i \(0.664452\pi\)
\(332\) 5.50037 + 22.6728i 0.301872 + 1.24433i
\(333\) 0.631040 + 0.218405i 0.0345808 + 0.0119685i
\(334\) 1.93210 + 10.0247i 0.105720 + 0.548527i
\(335\) −5.76045 + 19.6183i −0.314727 + 1.07186i
\(336\) −7.59526 6.02558i −0.414355 0.328722i
\(337\) 2.62882 4.09052i 0.143201 0.222825i −0.762243 0.647291i \(-0.775902\pi\)
0.905444 + 0.424466i \(0.139538\pi\)
\(338\) −1.99377 + 8.21844i −0.108447 + 0.447024i
\(339\) 9.97427 3.99310i 0.541728 0.216875i
\(340\) −8.70429 + 12.2235i −0.472057 + 0.662911i
\(341\) 8.66127 + 3.46745i 0.469034 + 0.187773i
\(342\) 9.72483 6.24977i 0.525859 0.337949i
\(343\) 18.3640 2.40096i 0.991561 0.129640i
\(344\) 37.7659i 2.03620i
\(345\) 6.40720 + 3.22520i 0.344952 + 0.173639i
\(346\) 38.3660 22.1506i 2.06257 1.19083i
\(347\) −5.81387 1.12053i −0.312105 0.0601533i 0.0307936 0.999526i \(-0.490197\pi\)
−0.342898 + 0.939372i \(0.611409\pi\)
\(348\) −2.79321 + 0.133057i −0.149732 + 0.00713259i
\(349\) 3.74718 0.538763i 0.200582 0.0288393i −0.0412915 0.999147i \(-0.513147\pi\)
0.241873 + 0.970308i \(0.422238\pi\)
\(350\) 3.29798 + 17.5131i 0.176284 + 0.936116i
\(351\) −0.577540 + 4.01688i −0.0308268 + 0.214405i
\(352\) 2.93532 + 0.712100i 0.156453 + 0.0379551i
\(353\) −14.6477 0.697758i −0.779621 0.0371379i −0.346001 0.938234i \(-0.612461\pi\)
−0.433619 + 0.901096i \(0.642764\pi\)
\(354\) 0.721396 0.0688850i 0.0383418 0.00366120i
\(355\) −4.91376 + 4.68526i −0.260795 + 0.248668i
\(356\) 43.7904 + 50.5368i 2.32089 + 2.67845i
\(357\) 0.348944 6.72195i 0.0184681 0.355763i
\(358\) 35.2781 + 10.3586i 1.86451 + 0.547469i
\(359\) 1.21383 0.864365i 0.0640635 0.0456194i −0.547576 0.836756i \(-0.684449\pi\)
0.611640 + 0.791136i \(0.290510\pi\)
\(360\) 0.337213 7.07896i 0.0177727 0.373094i
\(361\) 2.52117 + 2.40393i 0.132693 + 0.126523i
\(362\) 17.3638 + 13.6551i 0.912623 + 0.717695i
\(363\) 18.1571 8.29205i 0.952999 0.435220i
\(364\) 17.4249 + 38.5899i 0.913313 + 2.02266i
\(365\) 3.67115 + 5.71243i 0.192157 + 0.299002i
\(366\) 26.0926 9.03075i 1.36388 0.472045i
\(367\) 5.00816 + 8.67440i 0.261424 + 0.452800i 0.966621 0.256212i \(-0.0824746\pi\)
−0.705197 + 0.709012i \(0.749141\pi\)
\(368\) 17.4184 + 2.33291i 0.907996 + 0.121611i
\(369\) 5.06962 + 2.92694i 0.263914 + 0.152371i
\(370\) 1.84023 + 1.59457i 0.0956688 + 0.0828975i
\(371\) −2.71613 + 3.10770i −0.141014 + 0.161344i
\(372\) 0.941003 + 6.54482i 0.0487887 + 0.339333i
\(373\) 3.40280 35.6358i 0.176190 1.84515i −0.285830 0.958280i \(-0.592269\pi\)
0.462020 0.886869i \(-0.347125\pi\)
\(374\) −12.8265 32.0391i −0.663243 1.65670i
\(375\) −8.01248 + 8.40325i −0.413763 + 0.433942i
\(376\) 4.78225 + 9.27627i 0.246626 + 0.478387i
\(377\) 2.61762 + 1.19543i 0.134814 + 0.0615676i
\(378\) 3.20124 + 5.59972i 0.164654 + 0.288018i
\(379\) −7.69128 + 6.66453i −0.395074 + 0.342334i −0.829633 0.558310i \(-0.811450\pi\)
0.434558 + 0.900644i \(0.356905\pi\)
\(380\) 27.4628 5.29302i 1.40881 0.271526i
\(381\) −6.33488 + 1.53683i −0.324546 + 0.0787339i
\(382\) −4.84259 50.7139i −0.247768 2.59475i
\(383\) 2.29481 1.18306i 0.117259 0.0604514i −0.398599 0.917125i \(-0.630503\pi\)
0.515858 + 0.856674i \(0.327473\pi\)
\(384\) 5.63688 + 19.1974i 0.287656 + 0.979666i
\(385\) 20.4069 + 8.27082i 1.04003 + 0.421520i
\(386\) 24.6516 + 53.9795i 1.25473 + 2.74748i
\(387\) −2.96232 + 7.39953i −0.150583 + 0.376139i
\(388\) −40.1284 20.6876i −2.03721 1.05026i
\(389\) 2.83298 14.6989i 0.143638 0.745263i −0.836658 0.547726i \(-0.815494\pi\)
0.980295 0.197537i \(-0.0632942\pi\)
\(390\) −7.39896 + 12.8154i −0.374661 + 0.648931i
\(391\) 5.69529 + 10.7902i 0.288023 + 0.545682i
\(392\) 29.3498 + 15.4491i 1.48239 + 0.780300i
\(393\) 12.0907 13.9534i 0.609894 0.703856i
\(394\) −1.79594 37.7013i −0.0904779 1.89937i
\(395\) −11.2118 14.2570i −0.564127 0.717346i
\(396\) 17.8741 + 12.7281i 0.898208 + 0.639611i
\(397\) 16.1479 20.5337i 0.810438 1.03056i −0.188387 0.982095i \(-0.560326\pi\)
0.998825 0.0484605i \(-0.0154315\pi\)
\(398\) 48.5943 14.2686i 2.43581 0.715219i
\(399\) −9.11631 + 8.61846i −0.456386 + 0.431463i
\(400\) −4.20578 + 9.20937i −0.210289 + 0.460468i
\(401\) 11.2395 + 11.7876i 0.561274 + 0.588647i 0.941821 0.336114i \(-0.109113\pi\)
−0.380547 + 0.924761i \(0.624264\pi\)
\(402\) 10.9002 31.4940i 0.543652 1.57078i
\(403\) 2.22548 6.43011i 0.110859 0.320307i
\(404\) −17.9133 18.7869i −0.891219 0.934684i
\(405\) −0.621339 + 1.36054i −0.0308746 + 0.0676059i
\(406\) 4.44947 1.05936i 0.220823 0.0525750i
\(407\) −3.56511 + 1.04681i −0.176716 + 0.0518885i
\(408\) 7.45154 9.47541i 0.368906 0.469103i
\(409\) 16.9185 + 12.0476i 0.836568 + 0.595717i 0.916025 0.401121i \(-0.131379\pi\)
−0.0794571 + 0.996838i \(0.525319\pi\)
\(410\) 13.1951 + 16.7790i 0.651661 + 0.828654i
\(411\) 0.325882 + 6.84110i 0.0160746 + 0.337447i
\(412\) −36.0688 + 41.6256i −1.77698 + 2.05075i
\(413\) −0.755532 + 0.218349i −0.0371773 + 0.0107442i
\(414\) −10.1815 5.74790i −0.500394 0.282494i
\(415\) 4.42440 7.66328i 0.217185 0.376176i
\(416\) 0.416904 2.16310i 0.0204404 0.106055i
\(417\) −15.3731 7.92539i −0.752825 0.388108i
\(418\) −23.9062 + 59.7148i −1.16929 + 2.92075i
\(419\) 0.686434 + 1.50308i 0.0335345 + 0.0734303i 0.925658 0.378361i \(-0.123512\pi\)
−0.892123 + 0.451792i \(0.850785\pi\)
\(420\) 2.15502 + 15.4561i 0.105154 + 0.754181i
\(421\) −2.34497 7.98622i −0.114287 0.389225i 0.882406 0.470489i \(-0.155922\pi\)
−0.996693 + 0.0812642i \(0.974104\pi\)
\(422\) −25.9860 + 13.3967i −1.26498 + 0.652142i
\(423\) −0.209371 2.19263i −0.0101800 0.106609i
\(424\) −7.18326 + 1.74264i −0.348850 + 0.0846301i
\(425\) −6.90192 + 1.33024i −0.334792 + 0.0645259i
\(426\) 8.36352 7.24704i 0.405214 0.351120i
\(427\) −26.0140 + 14.8716i −1.25891 + 0.719689i
\(428\) 53.5428 + 24.4522i 2.58809 + 1.18194i
\(429\) −10.3471 20.0706i −0.499563 0.969016i
\(430\) −20.0563 + 21.0345i −0.967202 + 1.01437i
\(431\) −0.109522 0.273573i −0.00527549 0.0131775i 0.925707 0.378242i \(-0.123471\pi\)
−0.930982 + 0.365064i \(0.881047\pi\)
\(432\) −0.348325 + 3.64782i −0.0167588 + 0.175506i
\(433\) 1.12245 + 7.80684i 0.0539417 + 0.375173i 0.998855 + 0.0478506i \(0.0152371\pi\)
−0.944913 + 0.327322i \(0.893854\pi\)
\(434\) −3.49362 10.2352i −0.167699 0.491304i
\(435\) 0.801555 + 0.694551i 0.0384316 + 0.0333012i
\(436\) 39.4098 + 22.7533i 1.88739 + 1.08968i
\(437\) 6.19565 21.8800i 0.296378 1.04666i
\(438\) −5.53401 9.58518i −0.264425 0.457998i
\(439\) 24.1589 8.36147i 1.15304 0.399071i 0.317369 0.948302i \(-0.397201\pi\)
0.835671 + 0.549231i \(0.185079\pi\)
\(440\) 21.3195 + 33.1738i 1.01637 + 1.58150i
\(441\) −4.53874 5.32915i −0.216130 0.253769i
\(442\) −22.8955 + 10.4560i −1.08903 + 0.497343i
\(443\) −15.4555 12.1543i −0.734311 0.577468i 0.179428 0.983771i \(-0.442575\pi\)
−0.913739 + 0.406303i \(0.866818\pi\)
\(444\) −1.90585 1.81723i −0.0904478 0.0862418i
\(445\) 1.20679 25.3337i 0.0572074 1.20093i
\(446\) −43.1369 + 30.7176i −2.04259 + 1.45452i
\(447\) 16.6979 + 4.90293i 0.789781 + 0.231901i
\(448\) −10.4027 20.3914i −0.491481 0.963405i
\(449\) −22.6069 26.0897i −1.06688 1.23125i −0.971806 0.235780i \(-0.924236\pi\)
−0.0950775 0.995470i \(-0.530310\pi\)
\(450\) 4.87485 4.64816i 0.229802 0.219116i
\(451\) −32.4250 + 3.09621i −1.52683 + 0.145795i
\(452\) −42.3209 2.01599i −1.99061 0.0948243i
\(453\) 1.78685 + 0.433485i 0.0839534 + 0.0203669i
\(454\) 2.26059 15.7228i 0.106095 0.737907i
\(455\) 5.31716 15.1535i 0.249272 0.710408i
\(456\) −22.2385 + 3.19741i −1.04141 + 0.149732i
\(457\) −26.0596 + 1.24137i −1.21902 + 0.0580689i −0.647205 0.762316i \(-0.724062\pi\)
−0.571812 + 0.820385i \(0.693759\pi\)
\(458\) 26.8280 + 5.17068i 1.25359 + 0.241610i
\(459\) −2.20324 + 1.27204i −0.102838 + 0.0593737i
\(460\) −17.7002 22.0656i −0.825275 1.02882i
\(461\) 0.921734i 0.0429294i −0.999770 0.0214647i \(-0.993167\pi\)
0.999770 0.0214647i \(-0.00683296\pi\)
\(462\) −32.5832 15.0485i −1.51591 0.700120i
\(463\) −2.35603 + 1.51413i −0.109494 + 0.0703676i −0.594242 0.804286i \(-0.702548\pi\)
0.484748 + 0.874654i \(0.338911\pi\)
\(464\) 2.41231 + 0.965745i 0.111989 + 0.0448336i
\(465\) 1.45469 2.04283i 0.0674598 0.0947341i
\(466\) 62.6572 25.0842i 2.90254 1.16200i
\(467\) 8.44997 34.8313i 0.391018 1.61180i −0.347578 0.937651i \(-0.612996\pi\)
0.738596 0.674148i \(-0.235489\pi\)
\(468\) 8.65220 13.4631i 0.399948 0.622331i
\(469\) −5.29984 + 35.7774i −0.244724 + 1.65205i
\(470\) 2.26278 7.70632i 0.104374 0.355466i
\(471\) 1.89121 + 9.81251i 0.0871422 + 0.452137i
\(472\) −1.33098 0.460655i −0.0612631 0.0212034i
\(473\) −10.4558 43.0995i −0.480760 1.98172i
\(474\) 17.1483 + 24.0815i 0.787649 + 1.10610i
\(475\) 11.0209 + 7.08273i 0.505676 + 0.324978i
\(476\) −12.2636 + 23.5411i −0.562103 + 1.07901i
\(477\) 1.54412 + 0.222011i 0.0707004 + 0.0101652i
\(478\) −1.13816 0.108681i −0.0520583 0.00497097i
\(479\) −26.3798 + 20.7453i −1.20533 + 0.947878i −0.999528 0.0307166i \(-0.990221\pi\)
−0.205797 + 0.978595i \(0.565979\pi\)
\(480\) 0.372043 0.721662i 0.0169813 0.0329392i
\(481\) 0.886327 + 2.56087i 0.0404130 + 0.116766i
\(482\) −8.18805 −0.372956
\(483\) 12.0129 + 4.08529i 0.546607 + 0.185887i
\(484\) −78.7165 −3.57802
\(485\) 5.60053 + 16.1817i 0.254307 + 0.734771i
\(486\) 1.11713 2.16693i 0.0506739 0.0982937i
\(487\) 18.3236 14.4098i 0.830321 0.652971i −0.109747 0.993960i \(-0.535004\pi\)
0.940068 + 0.340988i \(0.110762\pi\)
\(488\) −53.4205 5.10104i −2.41823 0.230913i
\(489\) 17.1849 + 2.47081i 0.777126 + 0.111734i
\(490\) −8.14239 24.1915i −0.367836 1.09286i
\(491\) −16.6444 10.6967i −0.751150 0.482735i 0.108196 0.994130i \(-0.465493\pi\)
−0.859346 + 0.511395i \(0.829129\pi\)
\(492\) −13.3906 18.8045i −0.603696 0.847773i
\(493\) 0.425312 + 1.75316i 0.0191551 + 0.0789584i
\(494\) 44.3322 + 15.3435i 1.99460 + 0.690337i
\(495\) −1.57504 8.17209i −0.0707928 0.367308i
\(496\) 1.73100 5.89524i 0.0777241 0.264704i
\(497\) −7.46420 + 9.40864i −0.334815 + 0.422035i
\(498\) −7.79775 + 12.1335i −0.349425 + 0.543717i
\(499\) 4.76870 19.6569i 0.213476 0.879962i −0.759769 0.650193i \(-0.774688\pi\)
0.973245 0.229769i \(-0.0737969\pi\)
\(500\) 42.5084 17.0178i 1.90103 0.761058i
\(501\) −2.42907 + 3.41115i −0.108523 + 0.152399i
\(502\) −17.5662 7.03245i −0.784018 0.313874i
\(503\) 32.8526 21.1131i 1.46483 0.941386i 0.466442 0.884552i \(-0.345536\pi\)
0.998384 0.0568341i \(-0.0181006\pi\)
\(504\) −1.13841 12.4844i −0.0507087 0.556098i
\(505\) 9.84547i 0.438118i
\(506\) 64.6995 6.80925i 2.87625 0.302708i
\(507\) −3.00411 + 1.73442i −0.133417 + 0.0770284i
\(508\) 25.2419 + 4.86498i 1.11993 + 0.215849i
\(509\) −18.1551 + 0.864832i −0.804709 + 0.0383330i −0.445905 0.895080i \(-0.647118\pi\)
−0.358803 + 0.933413i \(0.616815\pi\)
\(510\) −9.18240 + 1.32023i −0.406604 + 0.0584608i
\(511\) 7.82706 + 9.11113i 0.346249 + 0.403053i
\(512\) 5.22506 36.3411i 0.230917 1.60606i
\(513\) 4.60802 + 1.11789i 0.203449 + 0.0493562i
\(514\) −43.6040 2.07711i −1.92329 0.0916175i
\(515\) 20.7956 1.98574i 0.916365 0.0875022i
\(516\) 22.7483 21.6905i 1.00144 0.954869i
\(517\) 8.02587 + 9.26234i 0.352977 + 0.407357i
\(518\) 3.61349 + 2.34408i 0.158768 + 0.102993i
\(519\) 17.4356 + 5.11954i 0.765336 + 0.224723i
\(520\) 23.4274 16.6826i 1.02736 0.731581i
\(521\) −0.614009 + 12.8896i −0.0269002 + 0.564705i 0.944680 + 0.327994i \(0.106373\pi\)
−0.971580 + 0.236711i \(0.923930\pi\)
\(522\) −1.25115 1.19297i −0.0547615 0.0522150i
\(523\) −11.0917 8.72260i −0.485006 0.381413i 0.345504 0.938417i \(-0.387708\pi\)
−0.830509 + 0.557005i \(0.811951\pi\)
\(524\) −66.2298 + 30.2462i −2.89326 + 1.32131i
\(525\) −4.26548 + 5.93629i −0.186161 + 0.259081i
\(526\) 3.92763 + 6.11151i 0.171253 + 0.266474i
\(527\) 4.03104 1.39516i 0.175595 0.0607740i
\(528\) −10.1949 17.6580i −0.443674 0.768467i
\(529\) −22.4961 + 4.78820i −0.978090 + 0.208183i
\(530\) 4.92633 + 2.84422i 0.213986 + 0.123545i
\(531\) 0.224647 + 0.194658i 0.00974884 + 0.00844742i
\(532\) 46.8205 15.9815i 2.02993 0.692885i
\(533\) 3.38085 + 23.5143i 0.146441 + 1.01852i
\(534\) −3.92958 + 41.1524i −0.170050 + 1.78084i
\(535\) −8.29745 20.7260i −0.358730 0.896064i
\(536\) −44.6979 + 46.8779i −1.93066 + 2.02481i
\(537\) 6.91069 + 13.4049i 0.298218 + 0.578463i
\(538\) −27.7797 12.6865i −1.19767 0.546956i
\(539\) 37.7721 + 9.50527i 1.62696 + 0.409421i
\(540\) 4.45769 3.86261i 0.191829 0.166220i
\(541\) −15.2749 + 2.94400i −0.656721 + 0.126573i −0.506716 0.862113i \(-0.669141\pi\)
−0.150004 + 0.988685i \(0.547929\pi\)
\(542\) −66.0281 + 16.0182i −2.83615 + 0.688042i
\(543\) 0.861294 + 9.01987i 0.0369616 + 0.387080i
\(544\) 1.22749 0.632815i 0.0526282 0.0271317i
\(545\) −4.86263 16.5606i −0.208292 0.709378i
\(546\) −9.83218 + 24.2592i −0.420778 + 1.03820i
\(547\) −4.90534 10.7412i −0.209737 0.459260i 0.775302 0.631591i \(-0.217598\pi\)
−0.985039 + 0.172330i \(0.944870\pi\)
\(548\) 10.0381 25.0740i 0.428808 1.07111i
\(549\) 10.0666 + 5.18972i 0.429634 + 0.221492i
\(550\) −7.09296 + 36.8018i −0.302445 + 1.56923i
\(551\) 1.68117 2.91187i 0.0716203 0.124050i
\(552\) 13.3592 + 18.3820i 0.568606 + 0.782391i
\(553\) −23.1251 22.2388i −0.983379 0.945689i
\(554\) 15.7113 18.1318i 0.667509 0.770347i
\(555\) 0.0475240 + 0.997651i 0.00201728 + 0.0423479i
\(556\) 42.1625 + 53.6140i 1.78809 + 2.27374i
\(557\) 3.16312 + 2.25245i 0.134026 + 0.0954394i 0.645104 0.764095i \(-0.276814\pi\)
−0.511078 + 0.859534i \(0.670754\pi\)
\(558\) −2.52684 + 3.21314i −0.106970 + 0.136023i
\(559\) −31.0354 + 9.11281i −1.31266 + 0.385431i
\(560\) 4.14472 13.8961i 0.175146 0.587218i
\(561\) 5.88057 12.8767i 0.248278 0.543653i
\(562\) 34.3766 + 36.0531i 1.45009 + 1.52081i
\(563\) −4.08214 + 11.7946i −0.172042 + 0.497082i −0.997752 0.0670124i \(-0.978653\pi\)
0.825711 + 0.564094i \(0.190774\pi\)
\(564\) −2.84093 + 8.20832i −0.119625 + 0.345633i
\(565\) 11.0894 + 11.6302i 0.466533 + 0.489285i
\(566\) −0.259821 + 0.568928i −0.0109211 + 0.0239138i
\(567\) −0.756214 + 2.53538i −0.0317580 + 0.106476i
\(568\) −20.6370 + 6.05957i −0.865909 + 0.254254i
\(569\) 1.98153 2.51972i 0.0830702 0.105632i −0.742742 0.669578i \(-0.766475\pi\)
0.825812 + 0.563946i \(0.190717\pi\)
\(570\) 14.0842 + 10.0293i 0.589923 + 0.420082i
\(571\) −13.2003 16.7855i −0.552414 0.702452i 0.427014 0.904245i \(-0.359566\pi\)
−0.979428 + 0.201793i \(0.935323\pi\)
\(572\) 4.23708 + 88.9472i 0.177161 + 3.71907i
\(573\) 13.6843 15.7926i 0.571672 0.659745i
\(574\) 27.2158 + 26.1727i 1.13597 + 1.09243i
\(575\) 1.13206 13.2018i 0.0472102 0.550552i
\(576\) −4.32611 + 7.49304i −0.180255 + 0.312210i
\(577\) −6.21645 + 32.2540i −0.258794 + 1.34275i 0.587149 + 0.809479i \(0.300250\pi\)
−0.845943 + 0.533273i \(0.820962\pi\)
\(578\) 22.8127 + 11.7607i 0.948881 + 0.489182i
\(579\) −9.04667 + 22.5975i −0.375967 + 0.939120i
\(580\) −1.73750 3.80458i −0.0721456 0.157977i
\(581\) 5.87941 14.5064i 0.243919 0.601829i
\(582\) −7.86329 26.7799i −0.325944 1.11006i
\(583\) −7.71529 + 3.97751i −0.319535 + 0.164731i
\(584\) 2.04476 + 21.4137i 0.0846128 + 0.886106i
\(585\) −5.89875 + 1.43102i −0.243883 + 0.0591654i
\(586\) −15.6796 + 3.02199i −0.647718 + 0.124837i
\(587\) −16.3296 + 14.1496i −0.673993 + 0.584018i −0.923148 0.384445i \(-0.874393\pi\)
0.249155 + 0.968464i \(0.419847\pi\)
\(588\) 7.55097 + 26.5519i 0.311397 + 1.09498i
\(589\) −7.23191 3.30270i −0.297986 0.136086i
\(590\) 0.496674 + 0.963413i 0.0204477 + 0.0396631i
\(591\) 10.6838 11.2048i 0.439472 0.460905i
\(592\) 0.909448 + 2.27169i 0.0373781 + 0.0933659i
\(593\) 2.15818 22.6015i 0.0886260 0.928134i −0.836372 0.548162i \(-0.815328\pi\)
0.924998 0.379972i \(-0.124066\pi\)
\(594\) 1.93054 + 13.4272i 0.0792111 + 0.550925i
\(595\) 9.52785 3.25219i 0.390604 0.133327i
\(596\) −51.8660 44.9421i −2.12451 1.84090i
\(597\) 17.9909 + 10.3870i 0.736317 + 0.425113i
\(598\) −7.20584 46.8976i −0.294669 1.91779i
\(599\) 2.87783 + 4.98455i 0.117585 + 0.203663i 0.918810 0.394700i \(-0.129151\pi\)
−0.801225 + 0.598363i \(0.795818\pi\)
\(600\) −12.3711 + 4.28167i −0.505047 + 0.174798i
\(601\) −0.441586 0.687121i −0.0180127 0.0280283i 0.832130 0.554580i \(-0.187121\pi\)
−0.850143 + 0.526552i \(0.823485\pi\)
\(602\) −29.9996 + 41.7505i −1.22269 + 1.70163i
\(603\) 12.4348 5.67878i 0.506384 0.231258i
\(604\) −5.69959 4.48221i −0.231913 0.182378i
\(605\) 21.6075 + 20.6027i 0.878471 + 0.837621i
\(606\) 0.763580 16.0295i 0.0310183 0.651155i
\(607\) 9.71813 6.92025i 0.394447 0.280884i −0.365575 0.930782i \(-0.619128\pi\)
0.760022 + 0.649898i \(0.225188\pi\)
\(608\) −2.46968 0.725163i −0.100159 0.0294092i
\(609\) 1.57394 + 1.02102i 0.0637794 + 0.0413739i
\(610\) 27.0446 + 31.2112i 1.09501 + 1.26370i
\(611\) 6.46914 6.16832i 0.261714 0.249543i
\(612\) 9.98724 0.953666i 0.403710 0.0385497i
\(613\) −16.7203 0.796487i −0.675327 0.0321698i −0.292883 0.956148i \(-0.594615\pi\)
−0.382444 + 0.923979i \(0.624918\pi\)
\(614\) 51.6333 + 12.5261i 2.08375 + 0.505512i
\(615\) −1.24607 + 8.66658i −0.0502462 + 0.349470i
\(616\) 45.4541 + 52.9111i 1.83140 + 2.13185i
\(617\) −9.26162 + 1.33162i −0.372859 + 0.0536090i −0.326197 0.945302i \(-0.605767\pi\)
−0.0466617 + 0.998911i \(0.514858\pi\)
\(618\) −34.0116 + 1.62017i −1.36815 + 0.0651729i
\(619\) −14.4358 2.78227i −0.580224 0.111829i −0.109309 0.994008i \(-0.534864\pi\)
−0.470914 + 0.882179i \(0.656076\pi\)
\(620\) −8.56481 + 4.94490i −0.343971 + 0.198592i
\(621\) −1.17562 4.64951i −0.0471761 0.186578i
\(622\) 31.1942i 1.25077i
\(623\) −4.07405 44.6781i −0.163223 1.78999i
\(624\) −12.5102 + 8.03980i −0.500808 + 0.321849i
\(625\) −3.29782 1.32025i −0.131913 0.0528099i
\(626\) 24.6637 34.6353i 0.985760 1.38431i
\(627\) −24.4940 + 9.80591i −0.978195 + 0.391610i
\(628\) 9.29083 38.2973i 0.370744 1.52823i
\(629\) −0.918468 + 1.42916i −0.0366217 + 0.0569845i
\(630\) −5.99602 + 7.55800i −0.238887 + 0.301118i
\(631\) 12.8210 43.6645i 0.510398 1.73825i −0.151304 0.988487i \(-0.548347\pi\)
0.661701 0.749767i \(-0.269835\pi\)
\(632\) −10.8738 56.4189i −0.432538 2.24422i
\(633\) −11.3326 3.92223i −0.450428 0.155895i
\(634\) 14.1524 + 58.3368i 0.562062 + 2.31685i
\(635\) −5.65553 7.94208i −0.224433 0.315172i
\(636\) −5.17532 3.32597i −0.205215 0.131883i
\(637\) 5.61383 27.8471i 0.222428 1.10334i
\(638\) 9.52128 + 1.36895i 0.376951 + 0.0541974i
\(639\) 4.51875 + 0.431488i 0.178759 + 0.0170694i
\(640\) −23.5234 + 18.4990i −0.929844 + 0.731237i
\(641\) −13.2696 + 25.7395i −0.524119 + 1.01665i 0.467073 + 0.884219i \(0.345308\pi\)
−0.991192 + 0.132430i \(0.957722\pi\)
\(642\) 11.9017 + 34.3878i 0.469724 + 1.35718i
\(643\) 25.3698 1.00049 0.500244 0.865885i \(-0.333244\pi\)
0.500244 + 0.865885i \(0.333244\pi\)
\(644\) −36.3998 34.3343i −1.43435 1.35296i
\(645\) −11.9215 −0.469408
\(646\) 9.61886 + 27.7919i 0.378449 + 1.09346i
\(647\) −3.50290 + 6.79467i −0.137713 + 0.267126i −0.947600 0.319460i \(-0.896498\pi\)
0.809887 + 0.586587i \(0.199529\pi\)
\(648\) −3.72450 + 2.92898i −0.146312 + 0.115061i
\(649\) −1.64649 0.157220i −0.0646302 0.00617144i
\(650\) 27.0564 + 3.89013i 1.06124 + 0.152583i
\(651\) 2.04955 3.93428i 0.0803281 0.154197i
\(652\) −57.5973 37.0155i −2.25568 1.44964i
\(653\) −17.1341 24.0615i −0.670510 0.941599i 0.329487 0.944160i \(-0.393124\pi\)
−0.999997 + 0.00256076i \(0.999185\pi\)
\(654\) 6.63252 + 27.3396i 0.259352 + 1.06906i
\(655\) 26.0964 + 9.03205i 1.01967 + 0.352911i
\(656\) 4.05964 + 21.0634i 0.158502 + 0.822389i
\(657\) 1.27904 4.35601i 0.0499001 0.169944i
\(658\) 2.08185 14.0538i 0.0811588 0.547875i
\(659\) 18.7732 29.2117i 0.731301 1.13793i −0.254017 0.967200i \(-0.581752\pi\)
0.985318 0.170727i \(-0.0546116\pi\)
\(660\) −7.73762 + 31.8949i −0.301186 + 1.24151i
\(661\) 30.2935 12.1277i 1.17828 0.471712i 0.301903 0.953339i \(-0.402378\pi\)
0.876376 + 0.481627i \(0.159954\pi\)
\(662\) 21.7007 30.4744i 0.843423 1.18442i
\(663\) −9.58478 3.83717i −0.372242 0.149023i
\(664\) 23.5820 15.1552i 0.915158 0.588136i
\(665\) −17.0350 7.86761i −0.660590 0.305093i
\(666\) 1.62797i 0.0630826i
\(667\) −3.39829 0.128998i −0.131582 0.00499482i
\(668\) 14.3016 8.25705i 0.553347 0.319475i
\(669\) −21.3292 4.11087i −0.824634 0.158935i
\(670\) 49.7909 2.37183i 1.92359 0.0916319i
\(671\) −62.3773 + 8.96851i −2.40805 + 0.346225i
\(672\) 0.475519 1.35520i 0.0183435 0.0522778i
\(673\) −5.37437 + 37.3796i −0.207167 + 1.44088i 0.575176 + 0.818029i \(0.304933\pi\)
−0.782343 + 0.622848i \(0.785976\pi\)
\(674\) −11.5201 2.79475i −0.443738 0.107650i
\(675\) 2.75973 + 0.131462i 0.106222 + 0.00505999i
\(676\) 13.6176 1.30032i 0.523753 0.0500124i
\(677\) 0.00211289 0.00201464i 8.12051e−5 7.74289e-5i −0.690038 0.723773i \(-0.742406\pi\)
0.690120 + 0.723695i \(0.257558\pi\)
\(678\) −17.1527 19.7953i −0.658746 0.760233i
\(679\) 13.7646 + 26.9814i 0.528235 + 1.03545i
\(680\) 17.2995 + 5.07960i 0.663407 + 0.194794i
\(681\) 5.30740 3.77938i 0.203380 0.144826i
\(682\) 1.08225 22.7191i 0.0414413 0.869961i
\(683\) 17.5763 + 16.7590i 0.672539 + 0.641265i 0.947337 0.320237i \(-0.103763\pi\)
−0.274798 + 0.961502i \(0.588611\pi\)
\(684\) −14.6984 11.5590i −0.562008 0.441968i
\(685\) −9.31816 + 4.25546i −0.356029 + 0.162593i
\(686\) −20.1744 40.3934i −0.770261 1.54223i
\(687\) 6.05892 + 9.42786i 0.231162 + 0.359695i
\(688\) −27.6007 + 9.55271i −1.05227 + 0.364194i
\(689\) 3.16538 + 5.48260i 0.120591 + 0.208870i
\(690\) 2.32146 17.3329i 0.0883765 0.659853i
\(691\) −27.8850 16.0994i −1.06080 0.612452i −0.135145 0.990826i \(-0.543150\pi\)
−0.925653 + 0.378374i \(0.876483\pi\)
\(692\) −54.1574 46.9277i −2.05876 1.78392i
\(693\) −4.75560 13.9324i −0.180650 0.529246i
\(694\) 2.05427 + 14.2878i 0.0779791 + 0.542357i
\(695\) 2.45905 25.7523i 0.0932769 0.976840i
\(696\) 1.24874 + 3.11921i 0.0473335 + 0.118233i
\(697\) −10.2772 + 10.7784i −0.389276 + 0.408261i
\(698\) −4.22912 8.20335i −0.160075 0.310501i
\(699\) 25.1822 + 11.5003i 0.952480 + 0.434983i
\(700\) 25.0259 14.3067i 0.945889 0.540744i
\(701\) −3.88497 + 3.36635i −0.146733 + 0.127145i −0.725134 0.688607i \(-0.758222\pi\)
0.578401 + 0.815753i \(0.303677\pi\)
\(702\) 9.71480 1.87238i 0.366662 0.0706682i
\(703\) 3.07708 0.746492i 0.116054 0.0281545i
\(704\) −4.57630 47.9251i −0.172476 1.80625i
\(705\) 2.92822 1.50960i 0.110283 0.0568549i
\(706\) 10.0722 + 34.3026i 0.379071 + 1.29100i
\(707\) 2.40497 + 17.2488i 0.0904480 + 0.648707i
\(708\) −0.486957 1.06629i −0.0183010 0.0400735i
\(709\) −6.97559 + 17.4242i −0.261974 + 0.654379i −0.999787 0.0206259i \(-0.993434\pi\)
0.737814 + 0.675005i \(0.235858\pi\)
\(710\) 14.7123 + 7.58469i 0.552141 + 0.284648i
\(711\) −2.29492 + 11.9072i −0.0860662 + 0.446554i
\(712\) 40.1726 69.5809i 1.50553 2.60766i
\(713\) 0.460172 + 8.02798i 0.0172336 + 0.300650i
\(714\) −15.7646 + 4.55597i −0.589976 + 0.170503i
\(715\) 22.1174 25.5248i 0.827143 0.954574i
\(716\) −2.82989 59.4066i −0.105758 2.22013i
\(717\) −0.289903 0.368642i −0.0108266 0.0137672i
\(718\) −2.95924 2.10727i −0.110438 0.0786425i
\(719\) −21.3989 + 27.2109i −0.798045 + 1.01480i 0.201333 + 0.979523i \(0.435473\pi\)
−0.999378 + 0.0352735i \(0.988770\pi\)
\(720\) −5.25887 + 1.54414i −0.195987 + 0.0575469i
\(721\) 35.9478 8.55869i 1.33877 0.318742i
\(722\) 3.52800 7.72524i 0.131299 0.287504i
\(723\) −2.31770 2.43073i −0.0861961 0.0903999i
\(724\) 11.6868 33.7668i 0.434336 1.25493i
\(725\) 0.640776 1.85140i 0.0237978 0.0687593i
\(726\) −33.5816 35.2194i −1.24633 1.30711i
\(727\) 17.8300 39.0422i 0.661277 1.44799i −0.220051 0.975488i \(-0.570622\pi\)
0.881328 0.472505i \(-0.156650\pi\)
\(728\) 36.9686 34.9498i 1.37015 1.29532i
\(729\) 0.959493 0.281733i 0.0355368 0.0104345i
\(730\) 10.2333 13.0127i 0.378752 0.481622i
\(731\) −16.5176 11.7621i −0.610924 0.435037i
\(732\) −27.6089 35.1076i −1.02046 1.29761i
\(733\) −0.126271 2.65076i −0.00466393 0.0979079i −0.999999 0.00142922i \(-0.999545\pi\)
0.995335 0.0964787i \(-0.0307580\pi\)
\(734\) 15.9912 18.4548i 0.590245 0.681179i
\(735\) 4.87680 9.26480i 0.179884 0.341737i
\(736\) 0.517351 + 2.55141i 0.0190698 + 0.0940463i
\(737\) −38.0321 + 65.8735i −1.40093 + 2.42648i
\(738\) 2.70088 14.0135i 0.0994208 0.515844i
\(739\) −28.4997 14.6926i −1.04838 0.540476i −0.154130 0.988051i \(-0.549258\pi\)
−0.894246 + 0.447575i \(0.852288\pi\)
\(740\) 1.46388 3.65660i 0.0538133 0.134419i
\(741\) 7.99367 + 17.5037i 0.293655 + 0.643015i
\(742\) 9.32545 + 3.77957i 0.342348 + 0.138752i
\(743\) 6.72581 + 22.9060i 0.246746 + 0.840340i 0.985976 + 0.166887i \(0.0533714\pi\)
−0.739230 + 0.673453i \(0.764810\pi\)
\(744\) 7.06142 3.64041i 0.258884 0.133464i
\(745\) 2.47426 + 25.9116i 0.0906498 + 0.949327i
\(746\) −84.8128 + 20.5754i −3.10522 + 0.753318i
\(747\) −5.80922 + 1.11964i −0.212548 + 0.0409653i
\(748\) −42.1892 + 36.5571i −1.54259 + 1.33666i
\(749\) −19.5995 34.2841i −0.716150 1.25272i
\(750\) 25.7488 + 11.7591i 0.940212 + 0.429380i
\(751\) −3.23651 6.27795i −0.118102 0.229086i 0.822373 0.568949i \(-0.192650\pi\)
−0.940475 + 0.339863i \(0.889619\pi\)
\(752\) 5.56980 5.84144i 0.203110 0.213015i
\(753\) −2.88459 7.20536i −0.105120 0.262578i
\(754\) 0.666873 6.98381i 0.0242861 0.254335i
\(755\) 0.391383 + 2.72213i 0.0142439 + 0.0990684i
\(756\) 6.86613 7.85599i 0.249719 0.285720i
\(757\) 25.9331 + 22.4712i 0.942556 + 0.816729i 0.983216 0.182444i \(-0.0584007\pi\)
−0.0406604 + 0.999173i \(0.512946\pi\)
\(758\) 21.4869 + 12.4055i 0.780439 + 0.450587i
\(759\) 20.3352 + 17.2795i 0.738120 + 0.627206i
\(760\) −16.8021 29.1021i −0.609477 1.05565i
\(761\) 45.9533 15.9046i 1.66580 0.576541i 0.678391 0.734701i \(-0.262678\pi\)
0.987413 + 0.158161i \(0.0505563\pi\)
\(762\) 8.59187 + 13.3692i 0.311251 + 0.484315i
\(763\) −12.5644 27.8255i −0.454860 1.00735i
\(764\) −74.9595 + 34.2329i −2.71194 + 1.23850i
\(765\) −2.99109 2.35222i −0.108143 0.0850445i
\(766\) −4.55540 4.34357i −0.164593 0.156940i
\(767\) −0.0573979 + 1.20493i −0.00207252 + 0.0435075i
\(768\) 25.6376 18.2565i 0.925118 0.658774i
\(769\) 24.5824 + 7.21804i 0.886463 + 0.260289i 0.693103 0.720839i \(-0.256243\pi\)
0.193360 + 0.981128i \(0.438061\pi\)
\(770\) 2.78292 53.6093i 0.100289 1.93195i
\(771\) −11.7259 13.5324i −0.422296 0.487356i
\(772\) 69.4713 66.2407i 2.50033 2.38406i
\(773\) −8.34614 + 0.796960i −0.300190 + 0.0286647i −0.244064