Properties

Label 50.2.d.b.21.2
Level $50$
Weight $2$
Character 50.21
Analytic conductor $0.399$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 50 = 2 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 50.d (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.399252010106\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.58140625.2
Defining polynomial: \(x^{8} - 3 x^{7} + 4 x^{6} - 7 x^{5} + 11 x^{4} + 5 x^{3} - 10 x^{2} - 25 x + 25\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 5 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 21.2
Root \(1.17421 + 0.0566033i\) of defining polynomial
Character \(\chi\) \(=\) 50.21
Dual form 50.2.d.b.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 - 0.951057i) q^{2} +(1.09089 + 0.792578i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-2.15743 + 0.587785i) q^{5} +(1.09089 - 0.792578i) q^{6} -0.833366 q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.365190 - 1.12394i) q^{9} +O(q^{10})\) \(q+(0.309017 - 0.951057i) q^{2} +(1.09089 + 0.792578i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-2.15743 + 0.587785i) q^{5} +(1.09089 - 0.792578i) q^{6} -0.833366 q^{7} +(-0.809017 + 0.587785i) q^{8} +(-0.365190 - 1.12394i) q^{9} +(-0.107666 + 2.23347i) q^{10} +(0.257524 - 0.792578i) q^{11} +(-0.416683 - 1.28242i) q^{12} +(1.41027 + 4.34038i) q^{13} +(-0.257524 + 0.792578i) q^{14} +(-2.81939 - 1.06872i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-4.41027 + 3.20425i) q^{17} -1.18178 q^{18} +(7.00116 - 5.08664i) q^{19} +(2.09089 + 0.792578i) q^{20} +(-0.909110 - 0.660507i) q^{21} +(-0.674207 - 0.489840i) q^{22} +(1.09089 - 3.35741i) q^{23} -1.34841 q^{24} +(4.30902 - 2.53621i) q^{25} +4.56375 q^{26} +(1.74248 - 5.36279i) q^{27} +(0.674207 + 0.489840i) q^{28} +(-2.64518 - 1.92183i) q^{29} +(-1.88765 + 2.35114i) q^{30} +(-4.85599 + 3.52808i) q^{31} +1.00000 q^{32} +(0.909110 - 0.660507i) q^{33} +(1.68458 + 5.18459i) q^{34} +(1.79793 - 0.489840i) q^{35} +(-0.365190 + 1.12394i) q^{36} +(2.26042 + 6.95685i) q^{37} +(-2.67421 - 8.23036i) q^{38} +(-1.90163 + 5.85263i) q^{39} +(1.39991 - 1.74363i) q^{40} +(0.576909 + 1.77554i) q^{41} +(-0.909110 + 0.660507i) q^{42} -1.63877 q^{43} +(-0.674207 + 0.489840i) q^{44} +(1.44851 + 2.21017i) q^{45} +(-2.85599 - 2.07500i) q^{46} +(0.674207 + 0.489840i) q^{47} +(-0.416683 + 1.28242i) q^{48} -6.30550 q^{49} +(-1.08052 - 4.88185i) q^{50} -7.35074 q^{51} +(1.41027 - 4.34038i) q^{52} +(-5.19972 - 3.77782i) q^{53} +(-4.56186 - 3.31439i) q^{54} +(-0.0897250 + 1.86130i) q^{55} +(0.674207 - 0.489840i) q^{56} +11.6691 q^{57} +(-2.64518 + 1.92183i) q^{58} +(4.18178 + 12.8702i) q^{59} +(1.65275 + 2.52181i) q^{60} +(1.81832 - 5.59621i) q^{61} +(1.85482 + 5.70855i) q^{62} +(0.304337 + 0.936652i) q^{63} +(0.309017 - 0.951057i) q^{64} +(-5.59378 - 8.53513i) q^{65} +(-0.347249 - 1.06872i) q^{66} +(-1.21345 + 0.881621i) q^{67} +5.45140 q^{68} +(3.85105 - 2.79795i) q^{69} +(0.0897250 - 1.86130i) q^{70} +(1.91027 + 1.38790i) q^{71} +(0.956080 + 0.694633i) q^{72} +(-1.02903 + 3.16703i) q^{73} +7.31486 q^{74} +(6.71081 + 0.648503i) q^{75} -8.65392 q^{76} +(-0.214612 + 0.660507i) q^{77} +(4.97854 + 3.61712i) q^{78} +(-4.18178 - 3.03824i) q^{79} +(-1.22570 - 1.87020i) q^{80} +(3.28304 - 2.38527i) q^{81} +1.86692 q^{82} +(9.97971 - 7.25068i) q^{83} +(0.347249 + 1.06872i) q^{84} +(7.63145 - 9.50525i) q^{85} +(-0.506408 + 1.55856i) q^{86} +(-1.36239 - 4.19302i) q^{87} +(0.257524 + 0.792578i) q^{88} +(-2.16491 + 6.66290i) q^{89} +(2.54961 - 0.694633i) q^{90} +(-1.17527 - 3.61712i) q^{91} +(-2.85599 + 2.07500i) q^{92} -8.09363 q^{93} +(0.674207 - 0.489840i) q^{94} +(-12.1147 + 15.0893i) q^{95} +(1.09089 + 0.792578i) q^{96} +(-8.97214 - 6.51864i) q^{97} +(-1.94851 + 5.99689i) q^{98} -0.984855 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 2q^{2} - 3q^{3} - 2q^{4} - 3q^{6} + 4q^{7} - 2q^{8} - q^{9} + O(q^{10}) \) \( 8q - 2q^{2} - 3q^{3} - 2q^{4} - 3q^{6} + 4q^{7} - 2q^{8} - q^{9} + q^{11} + 2q^{12} - 13q^{13} - q^{14} - 10q^{15} - 2q^{16} - 11q^{17} + 14q^{18} + 20q^{19} + 5q^{20} - 19q^{21} + q^{22} - 3q^{23} + 2q^{24} + 30q^{25} + 22q^{26} + 15q^{27} - q^{28} - 15q^{29} - 10q^{30} - 9q^{31} + 8q^{32} + 19q^{33} - q^{34} - 15q^{35} - q^{36} - 6q^{37} - 15q^{38} - 12q^{39} - 5q^{40} - 9q^{41} - 19q^{42} + 12q^{43} + q^{44} + 15q^{45} + 7q^{46} - q^{47} + 2q^{48} - 4q^{49} - 5q^{50} + 26q^{51} - 13q^{52} + 7q^{53} - 25q^{54} - 25q^{55} - q^{56} - 15q^{58} + 10q^{59} - 10q^{60} + 6q^{61} + 21q^{62} - 8q^{63} - 2q^{64} - 10q^{65} - 26q^{66} - 11q^{67} + 24q^{68} + 43q^{69} + 25q^{70} - 9q^{71} - 6q^{72} - 8q^{73} + 24q^{74} + 30q^{75} - 10q^{76} + 33q^{77} + 23q^{78} - 10q^{79} - 17q^{81} + 26q^{82} + 27q^{83} + 26q^{84} + 5q^{85} - 23q^{86} + q^{88} - 15q^{89} + 20q^{90} + q^{91} + 7q^{92} - 46q^{93} - q^{94} - 30q^{95} - 3q^{96} - 36q^{97} - 19q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/50\mathbb{Z}\right)^\times\).

\(n\) \(27\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.309017 0.951057i 0.218508 0.672499i
\(3\) 1.09089 + 0.792578i 0.629826 + 0.457595i 0.856340 0.516413i \(-0.172733\pi\)
−0.226514 + 0.974008i \(0.572733\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −2.15743 + 0.587785i −0.964832 + 0.262866i
\(6\) 1.09089 0.792578i 0.445354 0.323569i
\(7\) −0.833366 −0.314983 −0.157491 0.987520i \(-0.550341\pi\)
−0.157491 + 0.987520i \(0.550341\pi\)
\(8\) −0.809017 + 0.587785i −0.286031 + 0.207813i
\(9\) −0.365190 1.12394i −0.121730 0.374646i
\(10\) −0.107666 + 2.23347i −0.0340469 + 0.706287i
\(11\) 0.257524 0.792578i 0.0776465 0.238971i −0.904698 0.426054i \(-0.859903\pi\)
0.982344 + 0.187083i \(0.0599033\pi\)
\(12\) −0.416683 1.28242i −0.120286 0.370202i
\(13\) 1.41027 + 4.34038i 0.391140 + 1.20380i 0.931927 + 0.362645i \(0.118126\pi\)
−0.540787 + 0.841159i \(0.681874\pi\)
\(14\) −0.257524 + 0.792578i −0.0688262 + 0.211825i
\(15\) −2.81939 1.06872i −0.727962 0.275943i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) −4.41027 + 3.20425i −1.06965 + 0.777145i −0.975849 0.218446i \(-0.929901\pi\)
−0.0937997 + 0.995591i \(0.529901\pi\)
\(18\) −1.18178 −0.278548
\(19\) 7.00116 5.08664i 1.60618 1.16696i 0.732062 0.681238i \(-0.238558\pi\)
0.874116 0.485718i \(-0.161442\pi\)
\(20\) 2.09089 + 0.792578i 0.467537 + 0.177226i
\(21\) −0.909110 0.660507i −0.198384 0.144134i
\(22\) −0.674207 0.489840i −0.143741 0.104434i
\(23\) 1.09089 3.35741i 0.227466 0.700069i −0.770566 0.637361i \(-0.780026\pi\)
0.998032 0.0627085i \(-0.0199738\pi\)
\(24\) −1.34841 −0.275244
\(25\) 4.30902 2.53621i 0.861803 0.507242i
\(26\) 4.56375 0.895024
\(27\) 1.74248 5.36279i 0.335340 1.03207i
\(28\) 0.674207 + 0.489840i 0.127413 + 0.0925711i
\(29\) −2.64518 1.92183i −0.491197 0.356876i 0.314447 0.949275i \(-0.398181\pi\)
−0.805645 + 0.592399i \(0.798181\pi\)
\(30\) −1.88765 + 2.35114i −0.344637 + 0.429258i
\(31\) −4.85599 + 3.52808i −0.872161 + 0.633662i −0.931166 0.364596i \(-0.881207\pi\)
0.0590050 + 0.998258i \(0.481207\pi\)
\(32\) 1.00000 0.176777
\(33\) 0.909110 0.660507i 0.158256 0.114980i
\(34\) 1.68458 + 5.18459i 0.288902 + 0.889150i
\(35\) 1.79793 0.489840i 0.303905 0.0827981i
\(36\) −0.365190 + 1.12394i −0.0608650 + 0.187323i
\(37\) 2.26042 + 6.95685i 0.371610 + 1.14370i 0.945737 + 0.324932i \(0.105342\pi\)
−0.574127 + 0.818766i \(0.694658\pi\)
\(38\) −2.67421 8.23036i −0.433814 1.33514i
\(39\) −1.90163 + 5.85263i −0.304505 + 0.937171i
\(40\) 1.39991 1.74363i 0.221345 0.275693i
\(41\) 0.576909 + 1.77554i 0.0900981 + 0.277293i 0.985945 0.167069i \(-0.0534303\pi\)
−0.895847 + 0.444362i \(0.853430\pi\)
\(42\) −0.909110 + 0.660507i −0.140279 + 0.101918i
\(43\) −1.63877 −0.249910 −0.124955 0.992162i \(-0.539879\pi\)
−0.124955 + 0.992162i \(0.539879\pi\)
\(44\) −0.674207 + 0.489840i −0.101641 + 0.0738462i
\(45\) 1.44851 + 2.21017i 0.215931 + 0.329472i
\(46\) −2.85599 2.07500i −0.421092 0.305941i
\(47\) 0.674207 + 0.489840i 0.0983432 + 0.0714505i 0.635870 0.771796i \(-0.280641\pi\)
−0.537527 + 0.843247i \(0.680641\pi\)
\(48\) −0.416683 + 1.28242i −0.0601430 + 0.185101i
\(49\) −6.30550 −0.900786
\(50\) −1.08052 4.88185i −0.152809 0.690398i
\(51\) −7.35074 −1.02931
\(52\) 1.41027 4.34038i 0.195570 0.601902i
\(53\) −5.19972 3.77782i −0.714237 0.518923i 0.170301 0.985392i \(-0.445526\pi\)
−0.884538 + 0.466469i \(0.845526\pi\)
\(54\) −4.56186 3.31439i −0.620791 0.451031i
\(55\) −0.0897250 + 1.86130i −0.0120985 + 0.250978i
\(56\) 0.674207 0.489840i 0.0900947 0.0654576i
\(57\) 11.6691 1.54560
\(58\) −2.64518 + 1.92183i −0.347329 + 0.252349i
\(59\) 4.18178 + 12.8702i 0.544421 + 1.67556i 0.722362 + 0.691515i \(0.243057\pi\)
−0.177940 + 0.984041i \(0.556943\pi\)
\(60\) 1.65275 + 2.52181i 0.213369 + 0.325564i
\(61\) 1.81832 5.59621i 0.232812 0.716521i −0.764592 0.644514i \(-0.777060\pi\)
0.997404 0.0720066i \(-0.0229403\pi\)
\(62\) 1.85482 + 5.70855i 0.235563 + 0.724987i
\(63\) 0.304337 + 0.936652i 0.0383428 + 0.118007i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −5.59378 8.53513i −0.693823 1.05865i
\(66\) −0.347249 1.06872i −0.0427434 0.131551i
\(67\) −1.21345 + 0.881621i −0.148246 + 0.107707i −0.659436 0.751761i \(-0.729205\pi\)
0.511190 + 0.859468i \(0.329205\pi\)
\(68\) 5.45140 0.661079
\(69\) 3.85105 2.79795i 0.463612 0.336834i
\(70\) 0.0897250 1.86130i 0.0107242 0.222468i
\(71\) 1.91027 + 1.38790i 0.226708 + 0.164713i 0.695341 0.718680i \(-0.255253\pi\)
−0.468633 + 0.883393i \(0.655253\pi\)
\(72\) 0.956080 + 0.694633i 0.112675 + 0.0818632i
\(73\) −1.02903 + 3.16703i −0.120439 + 0.370672i −0.993043 0.117756i \(-0.962430\pi\)
0.872604 + 0.488429i \(0.162430\pi\)
\(74\) 7.31486 0.850335
\(75\) 6.71081 + 0.648503i 0.774897 + 0.0748827i
\(76\) −8.65392 −0.992672
\(77\) −0.214612 + 0.660507i −0.0244573 + 0.0752718i
\(78\) 4.97854 + 3.61712i 0.563709 + 0.409559i
\(79\) −4.18178 3.03824i −0.470487 0.341829i 0.327144 0.944974i \(-0.393914\pi\)
−0.797631 + 0.603146i \(0.793914\pi\)
\(80\) −1.22570 1.87020i −0.137037 0.209095i
\(81\) 3.28304 2.38527i 0.364782 0.265030i
\(82\) 1.86692 0.206167
\(83\) 9.97971 7.25068i 1.09542 0.795866i 0.115110 0.993353i \(-0.463278\pi\)
0.980306 + 0.197487i \(0.0632780\pi\)
\(84\) 0.347249 + 1.06872i 0.0378880 + 0.116607i
\(85\) 7.63145 9.50525i 0.827747 1.03099i
\(86\) −0.506408 + 1.55856i −0.0546074 + 0.168064i
\(87\) −1.36239 4.19302i −0.146064 0.449539i
\(88\) 0.257524 + 0.792578i 0.0274522 + 0.0844891i
\(89\) −2.16491 + 6.66290i −0.229480 + 0.706266i 0.768326 + 0.640058i \(0.221090\pi\)
−0.997806 + 0.0662073i \(0.978910\pi\)
\(90\) 2.54961 0.694633i 0.268752 0.0732207i
\(91\) −1.17527 3.61712i −0.123202 0.379178i
\(92\) −2.85599 + 2.07500i −0.297757 + 0.216333i
\(93\) −8.09363 −0.839270
\(94\) 0.674207 0.489840i 0.0695391 0.0505231i
\(95\) −12.1147 + 15.0893i −1.24294 + 1.54813i
\(96\) 1.09089 + 0.792578i 0.111338 + 0.0808921i
\(97\) −8.97214 6.51864i −0.910982 0.661867i 0.0302807 0.999541i \(-0.490360\pi\)
−0.941263 + 0.337674i \(0.890360\pi\)
\(98\) −1.94851 + 5.99689i −0.196829 + 0.605777i
\(99\) −0.984855 −0.0989816
\(100\) −4.97682 0.480938i −0.497682 0.0480938i
\(101\) 12.7085 1.26454 0.632272 0.774746i \(-0.282122\pi\)
0.632272 + 0.774746i \(0.282122\pi\)
\(102\) −2.27150 + 6.99097i −0.224912 + 0.692209i
\(103\) −5.67537 4.12340i −0.559211 0.406291i 0.271959 0.962309i \(-0.412328\pi\)
−0.831170 + 0.556018i \(0.812328\pi\)
\(104\) −3.69215 2.68250i −0.362045 0.263041i
\(105\) 2.34958 + 0.890637i 0.229295 + 0.0869173i
\(106\) −5.19972 + 3.77782i −0.505042 + 0.366934i
\(107\) −10.7700 −1.04118 −0.520589 0.853807i \(-0.674288\pi\)
−0.520589 + 0.853807i \(0.674288\pi\)
\(108\) −4.56186 + 3.31439i −0.438965 + 0.318927i
\(109\) −3.28655 10.1150i −0.314795 0.968838i −0.975839 0.218491i \(-0.929886\pi\)
0.661044 0.750347i \(-0.270114\pi\)
\(110\) 1.74248 + 0.660507i 0.166139 + 0.0629769i
\(111\) −3.04798 + 9.38071i −0.289301 + 0.890378i
\(112\) −0.257524 0.792578i −0.0243337 0.0748916i
\(113\) 0.538232 + 1.65651i 0.0506326 + 0.155831i 0.973176 0.230063i \(-0.0738931\pi\)
−0.922543 + 0.385894i \(0.873893\pi\)
\(114\) 3.60594 11.0979i 0.337727 1.03942i
\(115\) −0.380081 + 7.88460i −0.0354428 + 0.735242i
\(116\) 1.01037 + 3.10959i 0.0938103 + 0.288718i
\(117\) 4.36331 3.17013i 0.403388 0.293078i
\(118\) 13.5325 1.24577
\(119\) 3.67537 2.67031i 0.336921 0.244787i
\(120\) 2.90911 0.792578i 0.265564 0.0723521i
\(121\) 8.33733 + 6.05742i 0.757939 + 0.550675i
\(122\) −4.76042 3.45865i −0.430988 0.313131i
\(123\) −0.777913 + 2.39417i −0.0701420 + 0.215875i
\(124\) 6.00233 0.539025
\(125\) −7.80566 + 8.00448i −0.698159 + 0.715942i
\(126\) 0.984855 0.0877378
\(127\) 1.75112 5.38938i 0.155386 0.478230i −0.842813 0.538206i \(-0.819102\pi\)
0.998200 + 0.0599756i \(0.0191023\pi\)
\(128\) −0.809017 0.587785i −0.0715077 0.0519534i
\(129\) −1.78772 1.29885i −0.157400 0.114358i
\(130\) −9.84597 + 2.68250i −0.863548 + 0.235271i
\(131\) 13.3281 9.68345i 1.16448 0.846047i 0.174145 0.984720i \(-0.444284\pi\)
0.990338 + 0.138673i \(0.0442838\pi\)
\(132\) −1.12372 −0.0978074
\(133\) −5.83453 + 4.23903i −0.505918 + 0.367571i
\(134\) 0.463496 + 1.42649i 0.0400399 + 0.123230i
\(135\) −0.607103 + 12.5940i −0.0522511 + 1.08392i
\(136\) 1.68458 5.18459i 0.144451 0.444575i
\(137\) −0.894062 2.75164i −0.0763849 0.235088i 0.905572 0.424192i \(-0.139442\pi\)
−0.981957 + 0.189104i \(0.939442\pi\)
\(138\) −1.47097 4.52718i −0.125217 0.385379i
\(139\) 1.54184 4.74531i 0.130778 0.402492i −0.864132 0.503266i \(-0.832132\pi\)
0.994909 + 0.100774i \(0.0321318\pi\)
\(140\) −1.74248 0.660507i −0.147266 0.0558230i
\(141\) 0.347249 + 1.06872i 0.0292437 + 0.0900027i
\(142\) 1.91027 1.38790i 0.160307 0.116470i
\(143\) 3.80327 0.318045
\(144\) 0.956080 0.694633i 0.0796733 0.0578861i
\(145\) 6.83642 + 2.59143i 0.567733 + 0.215206i
\(146\) 2.69403 + 1.95733i 0.222960 + 0.161990i
\(147\) −6.87861 4.99760i −0.567338 0.412195i
\(148\) 2.26042 6.95685i 0.185805 0.571849i
\(149\) 2.00579 0.164320 0.0821602 0.996619i \(-0.473818\pi\)
0.0821602 + 0.996619i \(0.473818\pi\)
\(150\) 2.69052 6.18196i 0.219680 0.504755i
\(151\) −1.96971 −0.160293 −0.0801463 0.996783i \(-0.525539\pi\)
−0.0801463 + 0.996783i \(0.525539\pi\)
\(152\) −2.67421 + 8.23036i −0.216907 + 0.667571i
\(153\) 5.21197 + 3.78672i 0.421363 + 0.306138i
\(154\) 0.561861 + 0.408216i 0.0452760 + 0.0328950i
\(155\) 8.40270 10.4659i 0.674921 0.840639i
\(156\) 4.97854 3.61712i 0.398603 0.289602i
\(157\) 7.78467 0.621284 0.310642 0.950527i \(-0.399456\pi\)
0.310642 + 0.950527i \(0.399456\pi\)
\(158\) −4.18178 + 3.03824i −0.332685 + 0.241709i
\(159\) −2.67811 8.24237i −0.212388 0.653662i
\(160\) −2.15743 + 0.587785i −0.170560 + 0.0464685i
\(161\) −0.909110 + 2.79795i −0.0716479 + 0.220510i
\(162\) −1.25401 3.85944i −0.0985242 0.303226i
\(163\) 4.35589 + 13.4060i 0.341180 + 1.05004i 0.963597 + 0.267358i \(0.0861505\pi\)
−0.622418 + 0.782685i \(0.713849\pi\)
\(164\) 0.576909 1.77554i 0.0450490 0.138647i
\(165\) −1.57311 + 1.95936i −0.122466 + 0.152536i
\(166\) −3.81191 11.7319i −0.295862 0.910568i
\(167\) 6.59846 4.79406i 0.510604 0.370976i −0.302448 0.953166i \(-0.597804\pi\)
0.813053 + 0.582190i \(0.197804\pi\)
\(168\) 1.12372 0.0866970
\(169\) −6.33280 + 4.60105i −0.487139 + 0.353927i
\(170\) −6.68178 10.1952i −0.512469 0.781938i
\(171\) −8.27383 6.01129i −0.632716 0.459695i
\(172\) 1.32579 + 0.963245i 0.101091 + 0.0734467i
\(173\) −0.773580 + 2.38084i −0.0588142 + 0.181012i −0.976147 0.217109i \(-0.930337\pi\)
0.917333 + 0.398120i \(0.130337\pi\)
\(174\) −4.40880 −0.334230
\(175\) −3.59099 + 2.11359i −0.271453 + 0.159773i
\(176\) 0.833366 0.0628173
\(177\) −5.63877 + 17.3544i −0.423836 + 1.30443i
\(178\) 5.66780 + 4.11790i 0.424820 + 0.308649i
\(179\) 16.2067 + 11.7749i 1.21135 + 0.880096i 0.995352 0.0962986i \(-0.0307004\pi\)
0.215995 + 0.976394i \(0.430700\pi\)
\(180\) 0.127237 2.63947i 0.00948371 0.196735i
\(181\) −6.37367 + 4.63074i −0.473751 + 0.344201i −0.798902 0.601462i \(-0.794585\pi\)
0.325150 + 0.945662i \(0.394585\pi\)
\(182\) −3.80327 −0.281917
\(183\) 6.41901 4.66369i 0.474507 0.344750i
\(184\) 1.09089 + 3.35741i 0.0804215 + 0.247512i
\(185\) −8.96583 13.6803i −0.659181 1.00579i
\(186\) −2.50107 + 7.69750i −0.183387 + 0.564408i
\(187\) 1.40387 + 4.32066i 0.102661 + 0.315958i
\(188\) −0.257524 0.792578i −0.0187819 0.0578047i
\(189\) −1.45212 + 4.46916i −0.105626 + 0.325084i
\(190\) 10.6071 + 16.1846i 0.769520 + 1.17415i
\(191\) −1.63013 5.01702i −0.117952 0.363019i 0.874599 0.484847i \(-0.161125\pi\)
−0.992551 + 0.121827i \(0.961125\pi\)
\(192\) 1.09089 0.792578i 0.0787282 0.0571994i
\(193\) −13.4461 −0.967873 −0.483937 0.875103i \(-0.660793\pi\)
−0.483937 + 0.875103i \(0.660793\pi\)
\(194\) −8.97214 + 6.51864i −0.644162 + 0.468011i
\(195\) 0.662556 13.7444i 0.0474466 0.984257i
\(196\) 5.10126 + 3.70628i 0.364376 + 0.264734i
\(197\) 4.39991 + 3.19672i 0.313480 + 0.227757i 0.733388 0.679810i \(-0.237938\pi\)
−0.419908 + 0.907567i \(0.637938\pi\)
\(198\) −0.304337 + 0.936652i −0.0216283 + 0.0665650i
\(199\) −17.4090 −1.23409 −0.617045 0.786927i \(-0.711671\pi\)
−0.617045 + 0.786927i \(0.711671\pi\)
\(200\) −1.99532 + 4.58462i −0.141090 + 0.324181i
\(201\) −2.02249 −0.142655
\(202\) 3.92715 12.0865i 0.276313 0.850404i
\(203\) 2.20440 + 1.60159i 0.154719 + 0.112410i
\(204\) 5.94688 + 4.32066i 0.416365 + 0.302507i
\(205\) −2.28828 3.49152i −0.159820 0.243858i
\(206\) −5.67537 + 4.12340i −0.395422 + 0.287291i
\(207\) −4.17191 −0.289968
\(208\) −3.69215 + 2.68250i −0.256004 + 0.185998i
\(209\) −2.22859 6.85890i −0.154155 0.474440i
\(210\) 1.57311 1.95936i 0.108555 0.135209i
\(211\) −0.0834142 + 0.256723i −0.00574247 + 0.0176735i −0.953887 0.300167i \(-0.902958\pi\)
0.948144 + 0.317840i \(0.102958\pi\)
\(212\) 1.98612 + 6.11264i 0.136407 + 0.419818i
\(213\) 0.983884 + 3.02808i 0.0674146 + 0.207481i
\(214\) −3.32812 + 10.2429i −0.227506 + 0.700191i
\(215\) 3.53553 0.963245i 0.241121 0.0656928i
\(216\) 1.74248 + 5.36279i 0.118560 + 0.364892i
\(217\) 4.04681 2.94018i 0.274716 0.199593i
\(218\) −10.6355 −0.720328
\(219\) −3.63267 + 2.63929i −0.245473 + 0.178347i
\(220\) 1.16663 1.45309i 0.0786545 0.0979670i
\(221\) −20.1274 14.6234i −1.35391 0.983676i
\(222\) 7.97971 + 5.79760i 0.535563 + 0.389109i
\(223\) 7.16032 22.0372i 0.479491 1.47572i −0.360313 0.932831i \(-0.617330\pi\)
0.839804 0.542889i \(-0.182670\pi\)
\(224\) −0.833366 −0.0556816
\(225\) −4.42416 3.91687i −0.294944 0.261125i
\(226\) 1.74176 0.115860
\(227\) −0.0780741 + 0.240287i −0.00518196 + 0.0159484i −0.953614 0.301032i \(-0.902669\pi\)
0.948432 + 0.316980i \(0.102669\pi\)
\(228\) −9.44047 6.85890i −0.625210 0.454242i
\(229\) 17.0625 + 12.3966i 1.12752 + 0.819191i 0.985332 0.170649i \(-0.0545864\pi\)
0.142187 + 0.989840i \(0.454586\pi\)
\(230\) 7.38125 + 2.79795i 0.486705 + 0.184492i
\(231\) −0.757621 + 0.550444i −0.0498478 + 0.0362166i
\(232\) 3.26962 0.214661
\(233\) 11.8178 8.58610i 0.774207 0.562494i −0.129028 0.991641i \(-0.541186\pi\)
0.903235 + 0.429147i \(0.141186\pi\)
\(234\) −1.66663 5.12937i −0.108951 0.335318i
\(235\) −1.74248 0.660507i −0.113667 0.0430867i
\(236\) 4.18178 12.8702i 0.272211 0.837778i
\(237\) −2.15382 6.62877i −0.139906 0.430585i
\(238\) −1.40387 4.32066i −0.0909992 0.280067i
\(239\) 1.79793 5.53346i 0.116298 0.357930i −0.875917 0.482461i \(-0.839743\pi\)
0.992216 + 0.124532i \(0.0397429\pi\)
\(240\) 0.145178 3.01165i 0.00937121 0.194401i
\(241\) 4.24254 + 13.0572i 0.273286 + 0.841087i 0.989668 + 0.143379i \(0.0457968\pi\)
−0.716382 + 0.697708i \(0.754203\pi\)
\(242\) 8.33733 6.05742i 0.535944 0.389386i
\(243\) −11.4444 −0.734157
\(244\) −4.76042 + 3.45865i −0.304754 + 0.221417i
\(245\) 13.6037 3.70628i 0.869108 0.236786i
\(246\) 2.03660 + 1.47968i 0.129849 + 0.0943408i
\(247\) 31.9515 + 23.2141i 2.03303 + 1.47708i
\(248\) 1.85482 5.70855i 0.117781 0.362494i
\(249\) 16.6335 1.05410
\(250\) 5.20063 + 9.89714i 0.328917 + 0.625950i
\(251\) −15.8938 −1.00320 −0.501602 0.865098i \(-0.667256\pi\)
−0.501602 + 0.865098i \(0.667256\pi\)
\(252\) 0.304337 0.936652i 0.0191714 0.0590036i
\(253\) −2.38008 1.72923i −0.149634 0.108716i
\(254\) −4.58448 3.33082i −0.287656 0.208994i
\(255\) 15.8587 4.32066i 0.993112 0.270570i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −2.31253 −0.144252 −0.0721259 0.997396i \(-0.522978\pi\)
−0.0721259 + 0.997396i \(0.522978\pi\)
\(258\) −1.78772 + 1.29885i −0.111298 + 0.0808631i
\(259\) −1.88375 5.79760i −0.117051 0.360245i
\(260\) −0.491360 + 10.1930i −0.0304728 + 0.632144i
\(261\) −1.19403 + 3.67485i −0.0739088 + 0.227468i
\(262\) −5.09089 15.6681i −0.314516 0.967981i
\(263\) −6.63129 20.4090i −0.408903 1.25847i −0.917592 0.397524i \(-0.869870\pi\)
0.508689 0.860951i \(-0.330130\pi\)
\(264\) −0.347249 + 1.06872i −0.0213717 + 0.0657754i
\(265\) 13.4386 + 5.09406i 0.825526 + 0.312926i
\(266\) 2.22859 + 6.85890i 0.136644 + 0.420546i
\(267\) −7.64254 + 5.55263i −0.467716 + 0.339815i
\(268\) 1.49990 0.0916212
\(269\) −17.3020 + 12.5706i −1.05492 + 0.766445i −0.973142 0.230206i \(-0.926060\pi\)
−0.0817787 + 0.996651i \(0.526060\pi\)
\(270\) 11.7900 + 4.46916i 0.717519 + 0.271985i
\(271\) 21.1400 + 15.3591i 1.28417 + 0.933001i 0.999670 0.0256766i \(-0.00817402\pi\)
0.284495 + 0.958677i \(0.408174\pi\)
\(272\) −4.41027 3.20425i −0.267412 0.194286i
\(273\) 1.58476 4.87738i 0.0959139 0.295192i
\(274\) −2.89324 −0.174787
\(275\) −0.900470 4.06837i −0.0543004 0.245332i
\(276\) −4.76016 −0.286528
\(277\) −5.76220 + 17.7342i −0.346217 + 1.06555i 0.614712 + 0.788752i \(0.289272\pi\)
−0.960929 + 0.276795i \(0.910728\pi\)
\(278\) −4.03660 2.93276i −0.242099 0.175895i
\(279\) 5.73871 + 4.16941i 0.343567 + 0.249616i
\(280\) −1.16663 + 1.45309i −0.0697197 + 0.0868384i
\(281\) −11.9886 + 8.71023i −0.715180 + 0.519609i −0.884841 0.465894i \(-0.845733\pi\)
0.169661 + 0.985503i \(0.445733\pi\)
\(282\) 1.12372 0.0669167
\(283\) −12.7663 + 9.27523i −0.758875 + 0.551355i −0.898565 0.438840i \(-0.855389\pi\)
0.139690 + 0.990195i \(0.455389\pi\)
\(284\) −0.729660 2.24566i −0.0432974 0.133256i
\(285\) −25.1752 + 6.85890i −1.49125 + 0.406286i
\(286\) 1.17527 3.61712i 0.0694955 0.213885i
\(287\) −0.480776 1.47968i −0.0283793 0.0873426i
\(288\) −0.365190 1.12394i −0.0215190 0.0662288i
\(289\) 3.93000 12.0953i 0.231177 0.711489i
\(290\) 4.57716 5.70102i 0.268780 0.334776i
\(291\) −4.62108 14.2222i −0.270893 0.833722i
\(292\) 2.69403 1.95733i 0.157656 0.114544i
\(293\) 18.4003 1.07496 0.537479 0.843277i \(-0.319377\pi\)
0.537479 + 0.843277i \(0.319377\pi\)
\(294\) −6.87861 + 4.99760i −0.401169 + 0.291466i
\(295\) −16.5868 25.3086i −0.965722 1.47352i
\(296\) −5.91785 4.29957i −0.343968 0.249907i
\(297\) −3.80170 2.76210i −0.220597 0.160273i
\(298\) 0.619822 1.90761i 0.0359053 0.110505i
\(299\) 16.1109 0.931718
\(300\) −5.04798 4.46916i −0.291445 0.258027i
\(301\) 1.36569 0.0787173
\(302\) −0.608674 + 1.87330i −0.0350252 + 0.107797i
\(303\) 13.8636 + 10.0725i 0.796443 + 0.578649i
\(304\) 7.00116 + 5.08664i 0.401544 + 0.291739i
\(305\) −0.633527 + 13.1422i −0.0362757 + 0.752521i
\(306\) 5.21197 3.78672i 0.297949 0.216472i
\(307\) −34.1179 −1.94721 −0.973606 0.228237i \(-0.926704\pi\)
−0.973606 + 0.228237i \(0.926704\pi\)
\(308\) 0.561861 0.408216i 0.0320150 0.0232603i
\(309\) −2.92309 8.99635i −0.166289 0.511784i
\(310\) −7.35705 11.2256i −0.417853 0.637570i
\(311\) −4.02893 + 12.3998i −0.228460 + 0.703127i 0.769462 + 0.638692i \(0.220524\pi\)
−0.997922 + 0.0644345i \(0.979476\pi\)
\(312\) −1.90163 5.85263i −0.107659 0.331340i
\(313\) 1.07619 + 3.31217i 0.0608298 + 0.187215i 0.976854 0.213909i \(-0.0686196\pi\)
−0.916024 + 0.401124i \(0.868620\pi\)
\(314\) 2.40559 7.40366i 0.135756 0.417813i
\(315\) −1.20714 1.84188i −0.0680144 0.103778i
\(316\) 1.59730 + 4.91598i 0.0898550 + 0.276545i
\(317\) −3.89975 + 2.83333i −0.219032 + 0.159136i −0.691891 0.722002i \(-0.743222\pi\)
0.472859 + 0.881138i \(0.343222\pi\)
\(318\) −8.66654 −0.485995
\(319\) −2.20440 + 1.60159i −0.123423 + 0.0896719i
\(320\) −0.107666 + 2.23347i −0.00601870 + 0.124855i
\(321\) −11.7489 8.53609i −0.655761 0.476438i
\(322\) 2.38008 + 1.72923i 0.132637 + 0.0963662i
\(323\) −14.5782 + 44.8670i −0.811151 + 2.49647i
\(324\) −4.05806 −0.225448
\(325\) 17.0850 + 15.1260i 0.947707 + 0.839040i
\(326\) 14.0960 0.780703
\(327\) 4.43163 13.6392i 0.245070 0.754248i
\(328\) −1.51037 1.09735i −0.0833961 0.0605908i
\(329\) −0.561861 0.408216i −0.0309764 0.0225057i
\(330\) 1.37735 + 2.10159i 0.0758204 + 0.115689i
\(331\) −6.92796 + 5.03346i −0.380795 + 0.276664i −0.761673 0.647961i \(-0.775622\pi\)
0.380878 + 0.924625i \(0.375622\pi\)
\(332\) −12.3356 −0.677004
\(333\) 6.99359 5.08114i 0.383246 0.278445i
\(334\) −2.52039 7.75696i −0.137910 0.424442i
\(335\) 2.09972 2.61528i 0.114720 0.142888i
\(336\) 0.347249 1.06872i 0.0189440 0.0583036i
\(337\) −4.53365 13.9531i −0.246964 0.760076i −0.995307 0.0967646i \(-0.969151\pi\)
0.748344 0.663311i \(-0.230849\pi\)
\(338\) 2.41892 + 7.44466i 0.131572 + 0.404936i
\(339\) −0.725760 + 2.23366i −0.0394179 + 0.121316i
\(340\) −11.7610 + 3.20425i −0.637831 + 0.173775i
\(341\) 1.54574 + 4.75731i 0.0837068 + 0.257623i
\(342\) −8.27383 + 6.01129i −0.447398 + 0.325053i
\(343\) 11.0883 0.598715
\(344\) 1.32579 0.963245i 0.0714820 0.0519347i
\(345\) −6.66378 + 8.29998i −0.358766 + 0.446856i
\(346\) 2.02526 + 1.47144i 0.108879 + 0.0791049i
\(347\) 18.5970 + 13.5115i 0.998340 + 0.725337i 0.961732 0.273993i \(-0.0883445\pi\)
0.0366088 + 0.999330i \(0.488344\pi\)
\(348\) −1.36239 + 4.19302i −0.0730320 + 0.224769i
\(349\) 3.55023 0.190040 0.0950198 0.995475i \(-0.469709\pi\)
0.0950198 + 0.995475i \(0.469709\pi\)
\(350\) 0.900470 + 4.06837i 0.0481321 + 0.217463i
\(351\) 25.7339 1.37357
\(352\) 0.257524 0.792578i 0.0137261 0.0422445i
\(353\) 4.56375 + 3.31576i 0.242904 + 0.176480i 0.702576 0.711609i \(-0.252033\pi\)
−0.459672 + 0.888089i \(0.652033\pi\)
\(354\) 14.7625 + 10.7256i 0.784618 + 0.570058i
\(355\) −4.93707 1.87146i −0.262033 0.0993267i
\(356\) 5.66780 4.11790i 0.300393 0.218248i
\(357\) 6.12586 0.324215
\(358\) 16.2067 11.7749i 0.856552 0.622322i
\(359\) −5.22442 16.0791i −0.275734 0.848623i −0.989024 0.147754i \(-0.952796\pi\)
0.713290 0.700869i \(-0.247204\pi\)
\(360\) −2.47097 0.936652i −0.130232 0.0493659i
\(361\) 17.2710 53.1548i 0.909002 2.79762i
\(362\) 2.43453 + 7.49270i 0.127956 + 0.393808i
\(363\) 4.29413 + 13.2160i 0.225383 + 0.693658i
\(364\) −1.17527 + 3.61712i −0.0616011 + 0.189589i
\(365\) 0.358528 7.43749i 0.0187662 0.389296i
\(366\) −2.45184 7.54600i −0.128160 0.394436i
\(367\) 10.2044 7.41393i 0.532665 0.387004i −0.288688 0.957423i \(-0.593219\pi\)
0.821354 + 0.570419i \(0.193219\pi\)
\(368\) 3.53019 0.184024
\(369\) 1.78492 1.29682i 0.0929193 0.0675099i
\(370\) −15.7813 + 4.29957i −0.820431 + 0.223524i
\(371\) 4.33327 + 3.14830i 0.224972 + 0.163452i
\(372\) 6.54788 + 4.75731i 0.339492 + 0.246655i
\(373\) 4.09435 12.6011i 0.211997 0.652460i −0.787356 0.616499i \(-0.788551\pi\)
0.999353 0.0359616i \(-0.0114494\pi\)
\(374\) 4.54301 0.234913
\(375\) −14.8593 + 2.54541i −0.767330 + 0.131445i
\(376\) −0.833366 −0.0429776
\(377\) 4.61106 14.1914i 0.237482 0.730894i
\(378\) 3.80170 + 2.76210i 0.195538 + 0.142067i
\(379\) −18.0702 13.1288i −0.928203 0.674379i 0.0173488 0.999849i \(-0.494477\pi\)
−0.945552 + 0.325470i \(0.894477\pi\)
\(380\) 18.6702 5.08664i 0.957762 0.260939i
\(381\) 6.18178 4.49133i 0.316702 0.230098i
\(382\) −5.27521 −0.269903
\(383\) −19.7019 + 14.3143i −1.00672 + 0.731425i −0.963519 0.267642i \(-0.913756\pi\)
−0.0432012 + 0.999066i \(0.513756\pi\)
\(384\) −0.416683 1.28242i −0.0212638 0.0654431i
\(385\) 0.0747738 1.55114i 0.00381082 0.0790536i
\(386\) −4.15508 + 12.7880i −0.211488 + 0.650893i
\(387\) 0.598463 + 1.84188i 0.0304216 + 0.0936279i
\(388\) 3.42705 + 10.5474i 0.173982 + 0.535462i
\(389\) 9.30500 28.6378i 0.471782 1.45200i −0.378467 0.925615i \(-0.623548\pi\)
0.850249 0.526381i \(-0.176452\pi\)
\(390\) −12.8670 4.87738i −0.651544 0.246976i
\(391\) 5.94688 + 18.3026i 0.300746 + 0.925602i
\(392\) 5.10126 3.70628i 0.257652 0.187195i
\(393\) 22.2144 1.12057
\(394\) 4.39991 3.19672i 0.221664 0.161048i
\(395\) 10.8077 + 4.09681i 0.543796 + 0.206133i
\(396\) 0.796764 + 0.578883i 0.0400389 + 0.0290900i
\(397\) −28.6152 20.7902i −1.43616 1.04343i −0.988828 0.149059i \(-0.952376\pi\)
−0.447328 0.894370i \(-0.647624\pi\)
\(398\) −5.37968 + 16.5569i −0.269659 + 0.829924i
\(399\) −9.72459 −0.486839
\(400\) 3.74364 + 3.31439i 0.187182 + 0.165719i
\(401\) −5.66794 −0.283043 −0.141522 0.989935i \(-0.545199\pi\)
−0.141522 + 0.989935i \(0.545199\pi\)
\(402\) −0.624984 + 1.92350i −0.0311714 + 0.0959356i
\(403\) −22.1615 16.1013i −1.10394 0.802061i
\(404\) −10.2814 7.46988i −0.511519 0.371640i
\(405\) −5.68090 + 7.07577i −0.282286 + 0.351598i
\(406\) 2.20440 1.60159i 0.109403 0.0794856i
\(407\) 6.09595 0.302165
\(408\) 5.94688 4.32066i 0.294414 0.213904i
\(409\) 5.98493 + 18.4197i 0.295936 + 0.910797i 0.982906 + 0.184111i \(0.0589405\pi\)
−0.686970 + 0.726686i \(0.741060\pi\)
\(410\) −4.02775 + 1.09735i −0.198916 + 0.0541941i
\(411\) 1.20557 3.71035i 0.0594662 0.183018i
\(412\) 2.16780 + 6.67180i 0.106800 + 0.328696i
\(413\) −3.48495 10.7256i −0.171483 0.527771i
\(414\) −1.28919 + 3.96772i −0.0633603 + 0.195003i
\(415\) −17.2687 + 21.5088i −0.847687 + 1.05582i
\(416\) 1.41027 + 4.34038i 0.0691444 + 0.212805i
\(417\) 5.44301 3.95458i 0.266545 0.193657i
\(418\) −7.21188 −0.352744
\(419\) −18.5906 + 13.5068i −0.908209 + 0.659853i −0.940561 0.339624i \(-0.889700\pi\)
0.0323520 + 0.999477i \(0.489700\pi\)
\(420\) −1.37735 2.10159i −0.0672076 0.102547i
\(421\) 8.19306 + 5.95261i 0.399305 + 0.290112i 0.769258 0.638938i \(-0.220626\pi\)
−0.369953 + 0.929051i \(0.620626\pi\)
\(422\) 0.218381 + 0.158663i 0.0106306 + 0.00772361i
\(423\) 0.304337 0.936652i 0.0147974 0.0455416i
\(424\) 6.42721 0.312133
\(425\) −10.8773 + 24.9926i −0.527626 + 1.21232i
\(426\) 3.18392 0.154261
\(427\) −1.51532 + 4.66369i −0.0733316 + 0.225692i
\(428\) 8.71314 + 6.33047i 0.421165 + 0.305995i
\(429\) 4.14895 + 3.01439i 0.200313 + 0.145536i
\(430\) 0.176440 3.66015i 0.00850867 0.176508i
\(431\) 23.0589 16.7533i 1.11071 0.806978i 0.127935 0.991783i \(-0.459165\pi\)
0.982775 + 0.184804i \(0.0591651\pi\)
\(432\) 5.63877 0.271295
\(433\) −12.8550 + 9.33971i −0.617772 + 0.448838i −0.852143 0.523309i \(-0.824697\pi\)
0.234370 + 0.972147i \(0.424697\pi\)
\(434\) −1.54574 4.75731i −0.0741981 0.228358i
\(435\) 5.40387 + 8.24535i 0.259096 + 0.395334i
\(436\) −3.28655 + 10.1150i −0.157397 + 0.484419i
\(437\) −9.44047 29.0548i −0.451599 1.38988i
\(438\) 1.38756 + 4.27046i 0.0663000 + 0.204051i
\(439\) 0.910550 2.80238i 0.0434582 0.133751i −0.926973 0.375127i \(-0.877599\pi\)
0.970431 + 0.241377i \(0.0775990\pi\)
\(440\) −1.02146 1.55856i −0.0486960 0.0743016i
\(441\) 2.30271 + 7.08700i 0.109653 + 0.337476i
\(442\) −20.1274 + 14.6234i −0.957362 + 0.695564i
\(443\) −5.27327 −0.250541 −0.125270 0.992123i \(-0.539980\pi\)
−0.125270 + 0.992123i \(0.539980\pi\)
\(444\) 7.97971 5.79760i 0.378700 0.275142i
\(445\) 0.754284 15.6472i 0.0357565 0.741750i
\(446\) −18.7460 13.6197i −0.887647 0.644914i
\(447\) 2.18809 + 1.58974i 0.103493 + 0.0751922i
\(448\) −0.257524 + 0.792578i −0.0121669 + 0.0374458i
\(449\) −6.81659 −0.321695 −0.160847 0.986979i \(-0.551423\pi\)
−0.160847 + 0.986979i \(0.551423\pi\)
\(450\) −5.09231 + 2.99724i −0.240054 + 0.141291i
\(451\) 1.55583 0.0732609
\(452\) 0.538232 1.65651i 0.0253163 0.0779156i
\(453\) −2.14874 1.56115i −0.100956 0.0733491i
\(454\) 0.204401 + 0.148506i 0.00959300 + 0.00696972i
\(455\) 4.66167 + 7.11289i 0.218542 + 0.333457i
\(456\) −9.44047 + 6.85890i −0.442090 + 0.321198i
\(457\) 4.17712 0.195397 0.0976987 0.995216i \(-0.468852\pi\)
0.0976987 + 0.995216i \(0.468852\pi\)
\(458\) 17.0625 12.3966i 0.797277 0.579255i
\(459\) 9.49893 + 29.2347i 0.443372 + 1.36456i
\(460\) 4.94194 6.15537i 0.230419 0.286995i
\(461\) −11.5678 + 35.6020i −0.538766 + 1.65815i 0.196601 + 0.980484i \(0.437010\pi\)
−0.735367 + 0.677669i \(0.762990\pi\)
\(462\) 0.289386 + 0.890637i 0.0134634 + 0.0414362i
\(463\) −4.28879 13.1995i −0.199317 0.613434i −0.999899 0.0142111i \(-0.995476\pi\)
0.800582 0.599223i \(-0.204524\pi\)
\(464\) 1.01037 3.10959i 0.0469052 0.144359i
\(465\) 17.4614 4.75731i 0.809755 0.220615i
\(466\) −4.51398 13.8926i −0.209106 0.643562i
\(467\) −11.2134 + 8.14705i −0.518896 + 0.377000i −0.816188 0.577786i \(-0.803917\pi\)
0.297292 + 0.954787i \(0.403917\pi\)
\(468\) −5.39334 −0.249307
\(469\) 1.01125 0.734713i 0.0466950 0.0339259i
\(470\) −1.16663 + 1.45309i −0.0538128 + 0.0670258i
\(471\) 8.49222 + 6.16996i 0.391301 + 0.284297i
\(472\) −10.9480 7.95422i −0.503924 0.366123i
\(473\) −0.422023 + 1.29885i −0.0194046 + 0.0597213i
\(474\) −6.96990 −0.320138
\(475\) 17.2673 39.6749i 0.792279 1.82041i
\(476\) −4.54301 −0.208228
\(477\) −2.34715 + 7.22379i −0.107469 + 0.330755i
\(478\) −4.70704 3.41986i −0.215295 0.156421i
\(479\) −23.2976 16.9267i −1.06450 0.773401i −0.0895806 0.995980i \(-0.528553\pi\)
−0.974915 + 0.222578i \(0.928553\pi\)
\(480\) −2.81939 1.06872i −0.128687 0.0487803i
\(481\) −27.0076 + 19.6221i −1.23144 + 0.894692i
\(482\) 13.7291 0.625345
\(483\) −3.20933 + 2.33172i −0.146030 + 0.106097i
\(484\) −3.18458 9.80111i −0.144753 0.445505i
\(485\) 23.1883 + 8.78982i 1.05293 + 0.399125i
\(486\) −3.53650 + 10.8842i −0.160419 + 0.493719i
\(487\) 12.0366 + 37.0449i 0.545430 + 1.67866i 0.719964 + 0.694011i \(0.244158\pi\)
−0.174534 + 0.984651i \(0.555842\pi\)
\(488\) 1.81832 + 5.59621i 0.0823114 + 0.253328i
\(489\) −5.87354 + 18.0769i −0.265611 + 0.817466i
\(490\) 0.678887 14.0832i 0.0306690 0.636213i
\(491\) −7.26403 22.3564i −0.327821 1.00893i −0.970151 0.242501i \(-0.922032\pi\)
0.642330 0.766428i \(-0.277968\pi\)
\(492\) 2.03660 1.47968i 0.0918171 0.0667090i
\(493\) 17.8240 0.802753
\(494\) 31.9515 23.2141i 1.43757 1.04445i
\(495\) 2.12476 0.578883i 0.0955007 0.0260189i
\(496\) −4.85599 3.52808i −0.218040 0.158416i
\(497\) −1.59196 1.15662i −0.0714091 0.0518817i
\(498\) 5.14003 15.8194i 0.230330 0.708884i
\(499\) 28.2651 1.26532 0.632660 0.774430i \(-0.281963\pi\)
0.632660 + 0.774430i \(0.281963\pi\)
\(500\) 11.0198 1.88771i 0.492822 0.0844209i
\(501\) 10.9979 0.491348
\(502\) −4.91144 + 15.1159i −0.219208 + 0.674654i
\(503\) −5.58565 4.05821i −0.249052 0.180947i 0.456255 0.889849i \(-0.349191\pi\)
−0.705306 + 0.708903i \(0.749191\pi\)
\(504\) −0.796764 0.578883i −0.0354907 0.0257855i
\(505\) −27.4178 + 7.46988i −1.22007 + 0.332405i
\(506\) −2.38008 + 1.72923i −0.105808 + 0.0768737i
\(507\) −10.5551 −0.468768
\(508\) −4.58448 + 3.33082i −0.203403 + 0.147781i
\(509\) 10.3641 + 31.8975i 0.459382 + 1.41383i 0.865913 + 0.500195i \(0.166738\pi\)
−0.406531 + 0.913637i \(0.633262\pi\)
\(510\) 0.791424 16.4177i 0.0350448 0.726988i
\(511\) 0.857557 2.63929i 0.0379361 0.116755i
\(512\) 0.309017 + 0.951057i 0.0136568 + 0.0420312i
\(513\) −15.0792 46.4091i −0.665765 2.04901i
\(514\) −0.714612 + 2.19935i −0.0315202 + 0.0970091i
\(515\) 14.6679 + 5.56005i 0.646345 + 0.245005i
\(516\) 0.682847 + 2.10159i 0.0300607 + 0.0925173i
\(517\) 0.561861 0.408216i 0.0247106 0.0179533i
\(518\) −6.09595 −0.267841
\(519\) −2.73089 + 1.98411i −0.119873 + 0.0870926i
\(520\) 9.54229 + 3.61712i 0.418457 + 0.158621i
\(521\) −0.997861 0.724989i −0.0437171 0.0317623i 0.565712 0.824603i \(-0.308601\pi\)
−0.609429 + 0.792840i \(0.708601\pi\)
\(522\) 3.12602 + 2.27118i 0.136822 + 0.0994071i
\(523\) 7.11681 21.9033i 0.311196 0.957764i −0.666095 0.745867i \(-0.732036\pi\)
0.977292 0.211898i \(-0.0679643\pi\)
\(524\) −16.4745 −0.719690
\(525\) −5.59256 0.540440i −0.244079 0.0235868i
\(526\) −21.4593 −0.935671
\(527\) 10.1114 31.1196i 0.440458 1.35559i
\(528\) 0.909110 + 0.660507i 0.0395639 + 0.0287449i
\(529\) 8.52520 + 6.19392i 0.370661 + 0.269301i
\(530\) 8.99749 11.2067i 0.390826 0.486788i
\(531\) 12.9382 9.40013i 0.561469 0.407931i
\(532\) 7.21188 0.312674
\(533\) −6.89294 + 5.00801i −0.298566 + 0.216921i
\(534\) 2.91919 + 8.98434i 0.126326 + 0.388791i
\(535\) 23.2356 6.33047i 1.00456 0.273690i
\(536\) 0.463496 1.42649i 0.0200200 0.0616151i
\(537\) 8.34725 + 25.6902i 0.360210 + 1.10861i
\(538\) 6.60877 + 20.3397i 0.284924 + 0.876907i
\(539\) −1.62382 + 4.99760i −0.0699428 + 0.215262i
\(540\) 7.89375 9.83195i 0.339693 0.423100i
\(541\) −8.27238 25.4598i −0.355657 1.09460i −0.955627 0.294578i \(-0.904821\pi\)
0.599970 0.800023i \(-0.295179\pi\)
\(542\) 21.1400 15.3591i 0.908042 0.659731i
\(543\) −10.6232 −0.455885
\(544\) −4.41027 + 3.20425i −0.189089 + 0.137381i
\(545\) 13.0359 + 19.8906i 0.558398 + 0.852018i
\(546\) −4.14895 3.01439i −0.177559 0.129004i
\(547\) −5.19947 3.77763i −0.222313 0.161520i 0.471054 0.882104i \(-0.343874\pi\)
−0.693367 + 0.720584i \(0.743874\pi\)
\(548\) −0.894062 + 2.75164i −0.0381924 + 0.117544i
\(549\) −6.95383 −0.296782
\(550\) −4.14751 0.400797i −0.176850 0.0170900i
\(551\) −28.2950 −1.20541
\(552\) −1.47097 + 4.52718i −0.0626087 + 0.192690i
\(553\) 3.48495 + 2.53197i 0.148195 + 0.107670i
\(554\) 15.0856 + 10.9604i 0.640928 + 0.465661i
\(555\) 1.06196 22.0298i 0.0450776 0.935113i
\(556\) −4.03660 + 2.93276i −0.171190 + 0.124377i
\(557\) 44.0843 1.86791 0.933957 0.357386i \(-0.116332\pi\)
0.933957 + 0.357386i \(0.116332\pi\)
\(558\) 5.73871 4.16941i 0.242939 0.176505i
\(559\) −2.31112 7.11289i −0.0977498 0.300843i
\(560\) 1.02146 + 1.55856i 0.0431644 + 0.0658613i
\(561\) −1.89299 + 5.82604i −0.0799223 + 0.245975i
\(562\) 4.57924 + 14.0934i 0.193164 + 0.594496i
\(563\) 6.20440 + 19.0952i 0.261484 + 0.804766i 0.992483 + 0.122387i \(0.0390548\pi\)
−0.730998 + 0.682379i \(0.760945\pi\)
\(564\) 0.347249 1.06872i 0.0146218 0.0450014i
\(565\) −2.13487 3.25744i −0.0898147 0.137041i
\(566\) 4.87628 + 15.0076i 0.204965 + 0.630818i
\(567\) −2.73597 + 1.98780i −0.114900 + 0.0834797i
\(568\) −2.36123 −0.0990750
\(569\) 24.2170 17.5947i 1.01523 0.737609i 0.0499312 0.998753i \(-0.484100\pi\)
0.965300 + 0.261144i \(0.0840998\pi\)
\(570\) −1.25636 + 26.0625i −0.0526231 + 1.09164i
\(571\) 11.5201 + 8.36985i 0.482102 + 0.350267i 0.802139 0.597138i \(-0.203695\pi\)
−0.320037 + 0.947405i \(0.603695\pi\)
\(572\) −3.07691 2.23551i −0.128652 0.0934712i
\(573\) 2.19809 6.76503i 0.0918265 0.282613i
\(574\) −1.55583 −0.0649389
\(575\) −3.81445 17.2339i −0.159074 0.718703i
\(576\) −1.18178 −0.0492408
\(577\) −5.62687 + 17.3177i −0.234250 + 0.720946i 0.762970 + 0.646433i \(0.223740\pi\)
−0.997220 + 0.0745128i \(0.976260\pi\)
\(578\) −10.2889 7.47531i −0.427961 0.310932i
\(579\) −14.6682 10.6571i −0.609591 0.442894i
\(580\) −4.00757 6.11485i −0.166405 0.253905i
\(581\) −8.31675 + 6.04247i −0.345037 + 0.250684i
\(582\) −14.9541 −0.619869
\(583\) −4.33327 + 3.14830i −0.179466 + 0.130389i
\(584\) −1.02903 3.16703i −0.0425815 0.131052i
\(585\) −7.55018 + 9.40402i −0.312161 + 0.388808i
\(586\) 5.68601 17.4998i 0.234887 0.722908i
\(587\) 1.59586 + 4.91155i 0.0658681 + 0.202721i 0.978574 0.205896i \(-0.0660110\pi\)
−0.912706 + 0.408618i \(0.866011\pi\)
\(588\) 2.62739 + 8.08629i 0.108352 + 0.333473i
\(589\) −16.0515 + 49.4014i −0.661389 + 2.03555i
\(590\) −29.1955 + 7.95422i −1.20196 + 0.327470i
\(591\) 2.26616 + 6.97454i 0.0932176 + 0.286894i
\(592\) −5.91785 + 4.29957i −0.243222 + 0.176711i
\(593\) −35.6286 −1.46309 −0.731546 0.681793i \(-0.761201\pi\)
−0.731546 + 0.681793i \(0.761201\pi\)
\(594\) −3.80170 + 2.76210i −0.155986 + 0.113330i
\(595\) −6.35979 + 7.92135i −0.260726 + 0.324744i
\(596\) −1.62271 1.17897i −0.0664690 0.0482925i
\(597\) −18.9913 13.7980i −0.777262 0.564714i
\(598\) 4.97854 15.3224i 0.203588 0.626579i
\(599\) −31.8284 −1.30047 −0.650236 0.759733i \(-0.725330\pi\)
−0.650236 + 0.759733i \(0.725330\pi\)
\(600\) −5.81034 + 3.41986i −0.237206 + 0.139615i
\(601\) −12.6378 −0.515508 −0.257754 0.966211i \(-0.582982\pi\)
−0.257754 + 0.966211i \(0.582982\pi\)
\(602\) 0.422023 1.29885i 0.0172004 0.0529373i
\(603\) 1.43403 + 1.04188i 0.0583981 + 0.0424287i
\(604\) 1.59353 + 1.15777i 0.0648397 + 0.0471088i
\(605\) −21.5477 8.16791i −0.876037 0.332073i
\(606\) 13.8636 10.0725i 0.563170 0.409167i
\(607\) 34.9481 1.41850 0.709250 0.704957i \(-0.249034\pi\)
0.709250 + 0.704957i \(0.249034\pi\)
\(608\) 7.00116 5.08664i 0.283935 0.206291i
\(609\) 1.13537 + 3.49432i 0.0460076 + 0.141597i
\(610\) 12.3032 + 4.66369i 0.498142 + 0.188827i
\(611\) −1.17527 + 3.61712i −0.0475465 + 0.146333i
\(612\) −1.99080 6.12704i −0.0804732 0.247671i
\(613\) 2.20106 + 6.77418i 0.0889001 + 0.273606i 0.985616 0.169000i \(-0.0540538\pi\)
−0.896716 + 0.442607i \(0.854054\pi\)
\(614\) −10.5430 + 32.4480i −0.425481 + 1.30950i
\(615\) 0.271036 5.62250i 0.0109292 0.226721i
\(616\) −0.214612 0.660507i −0.00864696 0.0266126i
\(617\) 13.0147 9.45572i 0.523951 0.380673i −0.294139 0.955763i \(-0.595033\pi\)
0.818090 + 0.575090i \(0.195033\pi\)
\(618\) −9.45932 −0.380510
\(619\) 0.607103 0.441086i 0.0244015 0.0177287i −0.575518 0.817789i \(-0.695199\pi\)
0.599919 + 0.800061i \(0.295199\pi\)
\(620\) −12.9496 + 3.52808i −0.520069 + 0.141691i
\(621\) −16.1043 11.7004i −0.646241 0.469522i
\(622\) 10.5479 + 7.66348i 0.422931 + 0.307278i
\(623\) 1.80416 5.55263i 0.0722821 0.222461i
\(624\) −6.15382 −0.246350
\(625\) 12.1353 21.8572i 0.485410 0.874287i
\(626\) 3.48262 0.139194
\(627\) 3.00507 9.24864i 0.120011 0.369355i
\(628\) −6.29793 4.57571i −0.251315 0.182591i
\(629\) −32.2606 23.4387i −1.28631 0.934561i
\(630\) −2.12476 + 0.578883i −0.0846523 + 0.0230633i
\(631\) 12.4391 9.03753i 0.495192 0.359778i −0.311985 0.950087i \(-0.600994\pi\)
0.807178 + 0.590309i \(0.200994\pi\)
\(632\) 5.16896 0.205610
\(633\) −0.294468 + 0.213944i −0.0117041 + 0.00850350i
\(634\) 1.48957 + 4.58443i 0.0591585 + 0.182071i
\(635\) −0.610113 + 12.6565i −0.0242116 + 0.502258i
\(636\) −2.67811 + 8.24237i −0.106194 + 0.326831i
\(637\) −8.89249 27.3683i −0.352333 1.08437i
\(638\) 0.842006 + 2.59143i 0.0333353 + 0.102596i
\(639\) 0.862297 2.65388i 0.0341120 0.104986i
\(640\) 2.09089 + 0.792578i 0.0826497 + 0.0313294i
\(641\) 2.92140 + 8.99114i 0.115388 + 0.355129i 0.992028 0.126019i \(-0.0402200\pi\)
−0.876639 + 0.481148i \(0.840220\pi\)
\(642\) −11.7489 + 8.53609i −0.463693 + 0.336893i
\(643\) 32.8334 1.29482 0.647411 0.762141i \(-0.275852\pi\)
0.647411 + 0.762141i \(0.275852\pi\)
\(644\) 2.38008 1.72923i 0.0937883 0.0681412i
\(645\) 4.62032 + 1.75139i 0.181925 + 0.0689610i
\(646\) 38.1661 + 27.7293i 1.50163 + 1.09100i
\(647\) −14.4556 10.5026i −0.568309 0.412901i 0.266182 0.963923i \(-0.414238\pi\)
−0.834490 + 0.551022i \(0.814238\pi\)
\(648\) −1.25401 + 3.85944i −0.0492621 + 0.151613i
\(649\) 11.2775 0.442682
\(650\) 19.6653 11.5746i 0.771335 0.453994i
\(651\) 6.74495 0.264355
\(652\) 4.35589 13.4060i 0.170590 0.525021i
\(653\) 25.8596 + 18.7881i 1.01196 + 0.735235i 0.964620 0.263644i \(-0.0849245\pi\)
0.0473435 + 0.998879i \(0.484924\pi\)
\(654\) −11.6022 8.42947i −0.453681 0.329618i
\(655\) −23.0627 + 28.7254i −0.901135 + 1.12240i
\(656\) −1.51037 + 1.09735i −0.0589700 + 0.0428442i
\(657\) 3.93534 0.153532
\(658\) −0.561861 + 0.408216i −0.0219036 + 0.0159139i
\(659\) −3.52244 10.8410i −0.137215 0.422304i 0.858713 0.512457i \(-0.171264\pi\)
−0.995928 + 0.0901527i \(0.971264\pi\)
\(660\) 2.42435 0.660507i 0.0943678 0.0257102i
\(661\) 2.26642 6.97531i 0.0881533 0.271308i −0.897256 0.441511i \(-0.854442\pi\)
0.985409 + 0.170203i \(0.0544425\pi\)
\(662\) 2.64625 + 8.14431i 0.102849 + 0.316537i
\(663\) −10.3666 31.9050i −0.402604 1.23909i
\(664\) −3.81191 + 11.7319i −0.147931 + 0.455284i
\(665\) 10.0960 12.5749i 0.391504 0.487633i
\(666\) −2.67131 8.22146i −0.103511 0.318575i
\(667\) −9.33799 + 6.78445i −0.361568 + 0.262695i
\(668\) −8.15615 −0.315571
\(669\) 25.2773 18.3651i 0.977278 0.710034i
\(670\) −1.83843 2.80512i −0.0710248 0.108371i
\(671\) −3.96717 2.88232i −0.153151 0.111271i
\(672\) −0.909110 0.660507i −0.0350697 0.0254796i
\(673\) −10.1243 + 31.1595i −0.390264 + 1.20111i 0.542325 + 0.840169i \(0.317544\pi\)
−0.932589 + 0.360940i \(0.882456\pi\)
\(674\) −14.6712 −0.565113
\(675\) −6.09281 27.5276i −0.234513 1.05954i
\(676\) 7.82777 0.301068
\(677\) −10.0686 + 30.9879i −0.386967 + 1.19096i 0.548076 + 0.836428i \(0.315360\pi\)
−0.935043 + 0.354534i \(0.884640\pi\)
\(678\) 1.90006 + 1.38048i 0.0729715 + 0.0530169i
\(679\) 7.47707 + 5.43241i 0.286944 + 0.208477i
\(680\) −0.586930 + 12.1756i −0.0225077 + 0.466911i
\(681\) −0.275617 + 0.200247i −0.0105617 + 0.00767349i
\(682\) 5.00214 0.191542
\(683\) 3.51875 2.55652i 0.134641 0.0978227i −0.518426 0.855123i \(-0.673482\pi\)
0.653067 + 0.757300i \(0.273482\pi\)
\(684\) 3.16032 + 9.72648i 0.120838 + 0.371901i
\(685\) 3.54625 + 5.41096i 0.135495 + 0.206742i
\(686\) 3.42649 10.5456i 0.130824 0.402635i
\(687\) 8.78799 + 27.0467i 0.335283 + 1.03189i
\(688\) −0.506408 1.55856i −0.0193066 0.0594197i
\(689\) 9.06413 27.8965i 0.345316 1.06277i
\(690\) 5.83453 + 8.90247i 0.222117 + 0.338911i
\(691\) −6.26053 19.2679i −0.238162 0.732987i −0.996686 0.0813423i \(-0.974079\pi\)
0.758524 0.651645i \(-0.225921\pi\)
\(692\) 2.02526 1.47144i 0.0769888 0.0559356i
\(693\) 0.820744 0.0311775
\(694\) 18.5970 13.5115i 0.705933 0.512891i
\(695\) −0.537200 + 11.1440i −0.0203772 + 0.422714i
\(696\) 3.56680 + 2.59143i 0.135199 + 0.0982278i
\(697\) −8.23362 5.98208i −0.311871 0.226587i
\(698\) 1.09708 3.37647i 0.0415252 0.127801i
\(699\) 19.6970 0.745010
\(700\) 4.14751 + 0.400797i 0.156761 + 0.0151487i
\(701\) 12.5964 0.475758 0.237879 0.971295i \(-0.423548\pi\)
0.237879 + 0.971295i \(0.423548\pi\)
\(702\) 7.95222 24.4744i 0.300137 0.923727i
\(703\) 51.2126 + 37.2081i 1.93152 + 1.40333i
\(704\) −0.674207 0.489840i −0.0254101 0.0184615i
\(705\) −1.37735 2.10159i −0.0518738 0.0791504i
\(706\) 4.56375 3.31576i 0.171759 0.124790i
\(707\) −10.5908 −0.398310
\(708\) 14.7625 10.7256i 0.554808 0.403092i
\(709\) 9.10924 + 28.0354i 0.342105 + 1.05289i 0.963116 + 0.269088i \(0.0867222\pi\)
−0.621011 + 0.783802i \(0.713278\pi\)
\(710\) −3.30550 + 4.11712i −0.124053 + 0.154513i
\(711\) −1.88765 + 5.80960i −0.0707926 + 0.217877i
\(712\) −2.16491 6.66290i −0.0811333 0.249703i
\(713\) 6.54788 + 20.1523i 0.245220 + 0.754710i
\(714\) 1.89299 5.82604i 0.0708435 0.218034i
\(715\) −8.20529 + 2.23551i −0.306860 + 0.0836032i
\(716\) −6.19042 19.0522i −0.231347 0.712012i
\(717\) 6.34704 4.61139i 0.237034 0.172216i
\(718\) −16.9066 −0.630948
\(719\) 24.3987 17.7267i 0.909919 0.661095i −0.0310756 0.999517i \(-0.509893\pi\)
0.940994 + 0.338422i \(0.109893\pi\)
\(720\) −1.65438 + 2.06059i −0.0616552 + 0.0767937i
\(721\) 4.72966 + 3.43630i 0.176142 + 0.127974i
\(722\) −45.2162 32.8515i −1.68277 1.22261i
\(723\) −5.72069 + 17.6065i −0.212755 + 0.654792i
\(724\) 7.87829 0.292794
\(725\) −16.2723 1.57248i −0.604338 0.0584006i
\(726\) 13.8961 0.515732
\(727\) 1.83783 5.65626i 0.0681614 0.209779i −0.911174 0.412021i \(-0.864823\pi\)
0.979336 + 0.202242i \(0.0648229\pi\)
\(728\) 3.07691 + 2.23551i 0.114038 + 0.0828533i
\(729\) −22.3337 16.2264i −0.827173 0.600976i
\(730\) −6.96268 2.63929i −0.257700 0.0976845i
\(731\) 7.22743 5.25103i 0.267316 0.194216i
\(732\) −7.93434 −0.293261
\(733\) −8.23281 + 5.98148i −0.304086 + 0.220931i −0.729355 0.684136i \(-0.760180\pi\)
0.425269 + 0.905067i \(0.360180\pi\)
\(734\) −3.89773 11.9960i −0.143868 0.442780i
\(735\) 17.7776 + 6.73884i 0.655738 + 0.248566i
\(736\) 1.09089 3.35741i 0.0402107 0.123756i
\(737\) 0.386261 + 1.18879i 0.0142281 + 0.0437896i
\(738\) −0.681780 2.09830i −0.0250967 0.0772396i
\(739\) 11.2234 34.5422i 0.412861 1.27066i −0.501289 0.865280i \(-0.667141\pi\)
0.914150 0.405376i \(-0.132859\pi\)
\(740\) −0.787561 + 16.3376i −0.0289513 + 0.600581i
\(741\) 16.4566 + 50.6482i 0.604548 + 1.86061i
\(742\) 4.33327 3.14830i 0.159079 0.115578i
\(743\) 2.84832 0.104495 0.0522473 0.998634i \(-0.483362\pi\)
0.0522473 + 0.998634i \(0.483362\pi\)
\(744\) 6.54788 4.75731i 0.240057 0.174412i
\(745\) −4.32734 + 1.17897i −0.158542 + 0.0431941i
\(746\) −10.7191 7.78791i −0.392455 0.285136i
\(747\) −11.7938 8.56871i −0.431513 0.313513i
\(748\) 1.40387 4.32066i 0.0513305 0.157979i
\(749\) 8.97537 0.327953
\(750\) −2.17094 + 14.9186i −0.0792715 + 0.544750i
\(751\) −31.5502 −1.15128 −0.575641 0.817702i \(-0.695248\pi\)
−0.575641 + 0.817702i \(0.695248\pi\)
\(752\) −0.257524 + 0.792578i −0.00939094 + 0.0289023i
\(753\) −17.3383 12.5970i −0.631844 0.459062i
\(754\) −12.0719 8.77076i −0.439633 0.319412i
\(755\) 4.24951 1.15777i 0.154656 0.0421354i
\(756\) 3.80170 2.76210i 0.138266 0.100456i
\(757\) −45.6446 −1.65898 −0.829491 0.558520i \(-0.811369\pi\)
−0.829491 + 0.558520i \(0.811369\pi\)
\(758\) −18.0702 + 13.1288i −0.656339 + 0.476858i
\(759\) −1.22586 3.77280i −0.0444958 0.136944i
\(760\) 0.931731 19.3283i 0.0337974 0.701111i
\(761\) 2.80550 8.63445i 0.101699 0.312998i −0.887242 0.461304i \(-0.847382\pi\)
0.988942 + 0.148305i \(0.0473818\pi\)
\(762\) −2.36123 7.26712i −0.0855383 0.263260i
\(763\) 2.73890 + 8.42947i 0.0991549 + 0.305167i
\(764\) −1.63013 + 5.01702i −0.0589760 + 0.181510i
\(765\) −13.4703 5.10607i −0.487018 0.184610i
\(766\) 7.52545 + 23.1610i 0.271906 + 0.836840i
\(767\) −49.9641 + 36.3010i −1.80410 + 1.31075i
\(768\) −1.34841 −0.0486567
\(769\) 20.5964 14.9641i 0.742724 0.539621i −0.150839 0.988558i \(-0.548198\pi\)
0.893563 + 0.448938i \(0.148198\pi\)
\(770\) −1.45212 0.550444i −0.0523308 0.0198366i
\(771\) −2.52272 1.83286i −0.0908535 0.0660089i
\(772\) 10.8781 + 7.90343i 0.391513 + 0.284451i
\(773\) 5.30034 16.3128i 0.190640 0.586729i −0.809360 0.587313i \(-0.800186\pi\)